1,1,127,0,1.161375," ","integrate(x^3*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} x^{2}}{5 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} b^{3} x}{64 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b x}{40 \, c^{2}} + \frac{7 \, b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{9}{2}}} - \frac{7 \, \sqrt{c x^{2} + b x} b^{4}}{128 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}}{48 \, c^{3}}"," ",0,"1/5*(c*x^2 + b*x)^(3/2)*x^2/c - 7/64*sqrt(c*x^2 + b*x)*b^3*x/c^3 - 7/40*(c*x^2 + b*x)^(3/2)*b*x/c^2 + 7/256*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 7/128*sqrt(c*x^2 + b*x)*b^4/c^4 + 7/48*(c*x^2 + b*x)^(3/2)*b^2/c^3","A",0
2,1,105,0,1.181525," ","integrate(x^2*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{5 \, \sqrt{c x^{2} + b x} b^{2} x}{32 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} x}{4 \, c} - \frac{5 \, b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{7}{2}}} + \frac{5 \, \sqrt{c x^{2} + b x} b^{3}}{64 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b}{24 \, c^{2}}"," ",0,"5/32*sqrt(c*x^2 + b*x)*b^2*x/c^2 + 1/4*(c*x^2 + b*x)^(3/2)*x/c - 5/128*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 5/64*sqrt(c*x^2 + b*x)*b^3/c^3 - 5/24*(c*x^2 + b*x)^(3/2)*b/c^2","A",0
3,1,85,0,1.187749," ","integrate(x*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + b x} b x}{4 \, c} + \frac{b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{5}{2}}} - \frac{\sqrt{c x^{2} + b x} b^{2}}{8 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{3 \, c}"," ",0,"-1/4*sqrt(c*x^2 + b*x)*b*x/c + 1/16*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 1/8*sqrt(c*x^2 + b*x)*b^2/c^2 + 1/3*(c*x^2 + b*x)^(3/2)/c","A",0
4,1,63,0,1.024250," ","integrate((c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + b x} x - \frac{b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{3}{2}}} + \frac{\sqrt{c x^{2} + b x} b}{4 \, c}"," ",0,"1/2*sqrt(c*x^2 + b*x)*x - 1/8*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 1/4*sqrt(c*x^2 + b*x)*b/c","A",0
5,1,41,0,1.133108," ","integrate((c*x^2+b*x)^(1/2)/x,x, algorithm=""maxima"")","\frac{b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, \sqrt{c}} + \sqrt{c x^{2} + b x}"," ",0,"1/2*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + sqrt(c*x^2 + b*x)","A",0
6,1,44,0,1.053347," ","integrate((c*x^2+b*x)^(1/2)/x^2,x, algorithm=""maxima"")","\sqrt{c} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) - \frac{2 \, \sqrt{c x^{2} + b x}}{x}"," ",0,"sqrt(c)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) - 2*sqrt(c*x^2 + b*x)/x","A",0
7,1,37,0,1.061078," ","integrate((c*x^2+b*x)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{c x^{2} + b x} c}{3 \, b x} - \frac{2 \, \sqrt{c x^{2} + b x}}{3 \, x^{2}}"," ",0,"-2/3*sqrt(c*x^2 + b*x)*c/(b*x) - 2/3*sqrt(c*x^2 + b*x)/x^2","A",0
8,1,59,0,0.959582," ","integrate((c*x^2+b*x)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{4 \, \sqrt{c x^{2} + b x} c^{2}}{15 \, b^{2} x} - \frac{2 \, \sqrt{c x^{2} + b x} c}{15 \, b x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x}}{5 \, x^{3}}"," ",0,"4/15*sqrt(c*x^2 + b*x)*c^2/(b^2*x) - 2/15*sqrt(c*x^2 + b*x)*c/(b*x^2) - 2/5*sqrt(c*x^2 + b*x)/x^3","A",0
9,1,81,0,1.242517," ","integrate((c*x^2+b*x)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{16 \, \sqrt{c x^{2} + b x} c^{3}}{105 \, b^{3} x} + \frac{8 \, \sqrt{c x^{2} + b x} c^{2}}{105 \, b^{2} x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} c}{35 \, b x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x}}{7 \, x^{4}}"," ",0,"-16/105*sqrt(c*x^2 + b*x)*c^3/(b^3*x) + 8/105*sqrt(c*x^2 + b*x)*c^2/(b^2*x^2) - 2/35*sqrt(c*x^2 + b*x)*c/(b*x^3) - 2/7*sqrt(c*x^2 + b*x)/x^4","A",0
10,1,103,0,1.333462," ","integrate((c*x^2+b*x)^(1/2)/x^6,x, algorithm=""maxima"")","\frac{32 \, \sqrt{c x^{2} + b x} c^{4}}{315 \, b^{4} x} - \frac{16 \, \sqrt{c x^{2} + b x} c^{3}}{315 \, b^{3} x^{2}} + \frac{4 \, \sqrt{c x^{2} + b x} c^{2}}{105 \, b^{2} x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} c}{63 \, b x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x}}{9 \, x^{5}}"," ",0,"32/315*sqrt(c*x^2 + b*x)*c^4/(b^4*x) - 16/315*sqrt(c*x^2 + b*x)*c^3/(b^3*x^2) + 4/105*sqrt(c*x^2 + b*x)*c^2/(b^2*x^3) - 2/63*sqrt(c*x^2 + b*x)*c/(b*x^4) - 2/9*sqrt(c*x^2 + b*x)/x^5","A",0
11,1,125,0,1.410968," ","integrate((c*x^2+b*x)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{256 \, \sqrt{c x^{2} + b x} c^{5}}{3465 \, b^{5} x} + \frac{128 \, \sqrt{c x^{2} + b x} c^{4}}{3465 \, b^{4} x^{2}} - \frac{32 \, \sqrt{c x^{2} + b x} c^{3}}{1155 \, b^{3} x^{3}} + \frac{16 \, \sqrt{c x^{2} + b x} c^{2}}{693 \, b^{2} x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} c}{99 \, b x^{5}} - \frac{2 \, \sqrt{c x^{2} + b x}}{11 \, x^{6}}"," ",0,"-256/3465*sqrt(c*x^2 + b*x)*c^5/(b^5*x) + 128/3465*sqrt(c*x^2 + b*x)*c^4/(b^4*x^2) - 32/1155*sqrt(c*x^2 + b*x)*c^3/(b^3*x^3) + 16/693*sqrt(c*x^2 + b*x)*c^2/(b^2*x^4) - 2/99*sqrt(c*x^2 + b*x)*c/(b*x^5) - 2/11*sqrt(c*x^2 + b*x)/x^6","A",0
12,1,144,0,1.373785," ","integrate(x^2*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{7 \, \sqrt{c x^{2} + b x} b^{4} x}{256 \, c^{3}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} x}{96 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} x}{6 \, c} + \frac{7 \, b^{6} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{9}{2}}} - \frac{7 \, \sqrt{c x^{2} + b x} b^{5}}{512 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}}{192 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b}{60 \, c^{2}}"," ",0,"-7/256*sqrt(c*x^2 + b*x)*b^4*x/c^3 + 7/96*(c*x^2 + b*x)^(3/2)*b^2*x/c^2 + 1/6*(c*x^2 + b*x)^(5/2)*x/c + 7/1024*b^6*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 7/512*sqrt(c*x^2 + b*x)*b^5/c^4 + 7/192*(c*x^2 + b*x)^(3/2)*b^3/c^3 - 7/60*(c*x^2 + b*x)^(5/2)*b/c^2","A",0
13,1,124,0,1.287079," ","integrate(x*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{3 \, \sqrt{c x^{2} + b x} b^{3} x}{64 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b x}{8 \, c} - \frac{3 \, b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{7}{2}}} + \frac{3 \, \sqrt{c x^{2} + b x} b^{4}}{128 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}}{16 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}{5 \, c}"," ",0,"3/64*sqrt(c*x^2 + b*x)*b^3*x/c^2 - 1/8*(c*x^2 + b*x)^(3/2)*b*x/c - 3/256*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 3/128*sqrt(c*x^2 + b*x)*b^4/c^3 - 1/16*(c*x^2 + b*x)^(3/2)*b^2/c^2 + 1/5*(c*x^2 + b*x)^(5/2)/c","A",0
14,1,102,0,1.355387," ","integrate((c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} x - \frac{3 \, \sqrt{c x^{2} + b x} b^{2} x}{32 \, c} + \frac{3 \, b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{5}{2}}} - \frac{3 \, \sqrt{c x^{2} + b x} b^{3}}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b}{8 \, c}"," ",0,"1/4*(c*x^2 + b*x)^(3/2)*x - 3/32*sqrt(c*x^2 + b*x)*b^2*x/c + 3/128*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 3/64*sqrt(c*x^2 + b*x)*b^3/c^2 + 1/8*(c*x^2 + b*x)^(3/2)*b/c","A",0
15,1,79,0,1.365830," ","integrate((c*x^2+b*x)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{c x^{2} + b x} b x - \frac{b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{3}{2}}} + \frac{1}{3} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} + \frac{\sqrt{c x^{2} + b x} b^{2}}{8 \, c}"," ",0,"1/4*sqrt(c*x^2 + b*x)*b*x - 1/16*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 1/3*(c*x^2 + b*x)^(3/2) + 1/8*sqrt(c*x^2 + b*x)*b^2/c","A",0
16,1,62,0,1.358468," ","integrate((c*x^2+b*x)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{3 \, b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, \sqrt{c}} + \frac{3}{4} \, \sqrt{c x^{2} + b x} b + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{2 \, x}"," ",0,"3/8*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + 3/4*sqrt(c*x^2 + b*x)*b + 1/2*(c*x^2 + b*x)^(3/2)/x","A",0
17,1,62,0,1.333199," ","integrate((c*x^2+b*x)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{3}{2} \, b \sqrt{c} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) - \frac{3 \, \sqrt{c x^{2} + b x} b}{x} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{x^{2}}"," ",0,"3/2*b*sqrt(c)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) - 3*sqrt(c*x^2 + b*x)*b/x + (c*x^2 + b*x)^(3/2)/x^2","A",0
18,1,78,0,1.421435," ","integrate((c*x^2+b*x)^(3/2)/x^4,x, algorithm=""maxima"")","c^{\frac{3}{2}} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) - \frac{7 \, \sqrt{c x^{2} + b x} c}{3 \, x} - \frac{\sqrt{c x^{2} + b x} b}{3 \, x^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{3 \, x^{3}}"," ",0,"c^(3/2)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) - 7/3*sqrt(c*x^2 + b*x)*c/x - 1/3*sqrt(c*x^2 + b*x)*b/x^2 - 1/3*(c*x^2 + b*x)^(3/2)/x^3","A",0
19,1,73,0,1.363950," ","integrate((c*x^2+b*x)^(3/2)/x^5,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{c x^{2} + b x} c^{2}}{5 \, b x} + \frac{\sqrt{c x^{2} + b x} c}{5 \, x^{2}} + \frac{3 \, \sqrt{c x^{2} + b x} b}{5 \, x^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{x^{4}}"," ",0,"-2/5*sqrt(c*x^2 + b*x)*c^2/(b*x) + 1/5*sqrt(c*x^2 + b*x)*c/x^2 + 3/5*sqrt(c*x^2 + b*x)*b/x^3 - (c*x^2 + b*x)^(3/2)/x^4","B",0
20,1,95,0,1.373174," ","integrate((c*x^2+b*x)^(3/2)/x^6,x, algorithm=""maxima"")","\frac{4 \, \sqrt{c x^{2} + b x} c^{3}}{35 \, b^{2} x} - \frac{2 \, \sqrt{c x^{2} + b x} c^{2}}{35 \, b x^{2}} + \frac{3 \, \sqrt{c x^{2} + b x} c}{70 \, x^{3}} + \frac{3 \, \sqrt{c x^{2} + b x} b}{14 \, x^{4}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{2 \, x^{5}}"," ",0,"4/35*sqrt(c*x^2 + b*x)*c^3/(b^2*x) - 2/35*sqrt(c*x^2 + b*x)*c^2/(b*x^2) + 3/70*sqrt(c*x^2 + b*x)*c/x^3 + 3/14*sqrt(c*x^2 + b*x)*b/x^4 - 1/2*(c*x^2 + b*x)^(3/2)/x^5","B",0
21,1,117,0,1.358089," ","integrate((c*x^2+b*x)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{16 \, \sqrt{c x^{2} + b x} c^{4}}{315 \, b^{3} x} + \frac{8 \, \sqrt{c x^{2} + b x} c^{3}}{315 \, b^{2} x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} c^{2}}{105 \, b x^{3}} + \frac{\sqrt{c x^{2} + b x} c}{63 \, x^{4}} + \frac{\sqrt{c x^{2} + b x} b}{9 \, x^{5}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{3 \, x^{6}}"," ",0,"-16/315*sqrt(c*x^2 + b*x)*c^4/(b^3*x) + 8/315*sqrt(c*x^2 + b*x)*c^3/(b^2*x^2) - 2/105*sqrt(c*x^2 + b*x)*c^2/(b*x^3) + 1/63*sqrt(c*x^2 + b*x)*c/x^4 + 1/9*sqrt(c*x^2 + b*x)*b/x^5 - 1/3*(c*x^2 + b*x)^(3/2)/x^6","A",0
22,1,139,0,1.400058," ","integrate((c*x^2+b*x)^(3/2)/x^8,x, algorithm=""maxima"")","\frac{32 \, \sqrt{c x^{2} + b x} c^{5}}{1155 \, b^{4} x} - \frac{16 \, \sqrt{c x^{2} + b x} c^{4}}{1155 \, b^{3} x^{2}} + \frac{4 \, \sqrt{c x^{2} + b x} c^{3}}{385 \, b^{2} x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} c^{2}}{231 \, b x^{4}} + \frac{\sqrt{c x^{2} + b x} c}{132 \, x^{5}} + \frac{3 \, \sqrt{c x^{2} + b x} b}{44 \, x^{6}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{4 \, x^{7}}"," ",0,"32/1155*sqrt(c*x^2 + b*x)*c^5/(b^4*x) - 16/1155*sqrt(c*x^2 + b*x)*c^4/(b^3*x^2) + 4/385*sqrt(c*x^2 + b*x)*c^3/(b^2*x^3) - 2/231*sqrt(c*x^2 + b*x)*c^2/(b*x^4) + 1/132*sqrt(c*x^2 + b*x)*c/x^5 + 3/44*sqrt(c*x^2 + b*x)*b/x^6 - 1/4*(c*x^2 + b*x)^(3/2)/x^7","A",0
23,1,161,0,1.407122," ","integrate((c*x^2+b*x)^(3/2)/x^9,x, algorithm=""maxima"")","-\frac{256 \, \sqrt{c x^{2} + b x} c^{6}}{15015 \, b^{5} x} + \frac{128 \, \sqrt{c x^{2} + b x} c^{5}}{15015 \, b^{4} x^{2}} - \frac{32 \, \sqrt{c x^{2} + b x} c^{4}}{5005 \, b^{3} x^{3}} + \frac{16 \, \sqrt{c x^{2} + b x} c^{3}}{3003 \, b^{2} x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} c^{2}}{429 \, b x^{5}} + \frac{3 \, \sqrt{c x^{2} + b x} c}{715 \, x^{6}} + \frac{3 \, \sqrt{c x^{2} + b x} b}{65 \, x^{7}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{5 \, x^{8}}"," ",0,"-256/15015*sqrt(c*x^2 + b*x)*c^6/(b^5*x) + 128/15015*sqrt(c*x^2 + b*x)*c^5/(b^4*x^2) - 32/5005*sqrt(c*x^2 + b*x)*c^4/(b^3*x^3) + 16/3003*sqrt(c*x^2 + b*x)*c^3/(b^2*x^4) - 2/429*sqrt(c*x^2 + b*x)*c^2/(b*x^5) + 3/715*sqrt(c*x^2 + b*x)*c/x^6 + 3/65*sqrt(c*x^2 + b*x)*b/x^7 - 1/5*(c*x^2 + b*x)^(3/2)/x^8","A",0
24,1,183,0,1.446060," ","integrate(x^2*(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","\frac{45 \, \sqrt{b x^{2} + a x} a^{6} x}{8192 \, b^{4}} - \frac{15 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{4} x}{1024 \, b^{3}} + \frac{3 \, {\left(b x^{2} + a x\right)}^{\frac{5}{2}} a^{2} x}{64 \, b^{2}} + \frac{{\left(b x^{2} + a x\right)}^{\frac{7}{2}} x}{8 \, b} - \frac{45 \, a^{8} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{32768 \, b^{\frac{11}{2}}} + \frac{45 \, \sqrt{b x^{2} + a x} a^{7}}{16384 \, b^{5}} - \frac{15 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{5}}{2048 \, b^{4}} + \frac{3 \, {\left(b x^{2} + a x\right)}^{\frac{5}{2}} a^{3}}{128 \, b^{3}} - \frac{9 \, {\left(b x^{2} + a x\right)}^{\frac{7}{2}} a}{112 \, b^{2}}"," ",0,"45/8192*sqrt(b*x^2 + a*x)*a^6*x/b^4 - 15/1024*(b*x^2 + a*x)^(3/2)*a^4*x/b^3 + 3/64*(b*x^2 + a*x)^(5/2)*a^2*x/b^2 + 1/8*(b*x^2 + a*x)^(7/2)*x/b - 45/32768*a^8*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/b^(11/2) + 45/16384*sqrt(b*x^2 + a*x)*a^7/b^5 - 15/2048*(b*x^2 + a*x)^(3/2)*a^5/b^4 + 3/128*(b*x^2 + a*x)^(5/2)*a^3/b^3 - 9/112*(b*x^2 + a*x)^(7/2)*a/b^2","A",0
25,1,163,0,1.396159," ","integrate(x*(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","-\frac{5 \, \sqrt{b x^{2} + a x} a^{5} x}{512 \, b^{3}} + \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{3} x}{192 \, b^{2}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}} a x}{12 \, b} + \frac{5 \, a^{7} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{2048 \, b^{\frac{9}{2}}} - \frac{5 \, \sqrt{b x^{2} + a x} a^{6}}{1024 \, b^{4}} + \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{4}}{384 \, b^{3}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}} a^{2}}{24 \, b^{2}} + \frac{{\left(b x^{2} + a x\right)}^{\frac{7}{2}}}{7 \, b}"," ",0,"-5/512*sqrt(b*x^2 + a*x)*a^5*x/b^3 + 5/192*(b*x^2 + a*x)^(3/2)*a^3*x/b^2 - 1/12*(b*x^2 + a*x)^(5/2)*a*x/b + 5/2048*a^7*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/b^(9/2) - 5/1024*sqrt(b*x^2 + a*x)*a^6/b^4 + 5/384*(b*x^2 + a*x)^(3/2)*a^4/b^3 - 1/24*(b*x^2 + a*x)^(5/2)*a^2/b^2 + 1/7*(b*x^2 + a*x)^(7/2)/b","A",0
26,1,141,0,1.372012," ","integrate((b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(b x^{2} + a x\right)}^{\frac{5}{2}} x + \frac{5 \, \sqrt{b x^{2} + a x} a^{4} x}{256 \, b^{2}} - \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{2} x}{96 \, b} - \frac{5 \, a^{6} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{1024 \, b^{\frac{7}{2}}} + \frac{5 \, \sqrt{b x^{2} + a x} a^{5}}{512 \, b^{3}} - \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{3}}{192 \, b^{2}} + \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}} a}{12 \, b}"," ",0,"1/6*(b*x^2 + a*x)^(5/2)*x + 5/256*sqrt(b*x^2 + a*x)*a^4*x/b^2 - 5/96*(b*x^2 + a*x)^(3/2)*a^2*x/b - 5/1024*a^6*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/b^(7/2) + 5/512*sqrt(b*x^2 + a*x)*a^5/b^3 - 5/192*(b*x^2 + a*x)^(3/2)*a^3/b^2 + 1/12*(b*x^2 + a*x)^(5/2)*a/b","A",0
27,1,118,0,1.419436," ","integrate((b*x^2+a*x)^(5/2)/x,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a x - \frac{3 \, \sqrt{b x^{2} + a x} a^{3} x}{64 \, b} + \frac{3 \, a^{5} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{256 \, b^{\frac{5}{2}}} + \frac{1}{5} \, {\left(b x^{2} + a x\right)}^{\frac{5}{2}} - \frac{3 \, \sqrt{b x^{2} + a x} a^{4}}{128 \, b^{2}} + \frac{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{2}}{16 \, b}"," ",0,"1/8*(b*x^2 + a*x)^(3/2)*a*x - 3/64*sqrt(b*x^2 + a*x)*a^3*x/b + 3/256*a^5*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/b^(5/2) + 1/5*(b*x^2 + a*x)^(5/2) - 3/128*sqrt(b*x^2 + a*x)*a^4/b^2 + 1/16*(b*x^2 + a*x)^(3/2)*a^2/b","A",0
28,1,98,0,1.346492," ","integrate((b*x^2+a*x)^(5/2)/x^2,x, algorithm=""maxima"")","\frac{5}{32} \, \sqrt{b x^{2} + a x} a^{2} x - \frac{5 \, a^{4} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{128 \, b^{\frac{3}{2}}} + \frac{5}{24} \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a + \frac{5 \, \sqrt{b x^{2} + a x} a^{3}}{64 \, b} + \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{4 \, x}"," ",0,"5/32*sqrt(b*x^2 + a*x)*a^2*x - 5/128*a^4*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/b^(3/2) + 5/24*(b*x^2 + a*x)^(3/2)*a + 5/64*sqrt(b*x^2 + a*x)*a^3/b + 1/4*(b*x^2 + a*x)^(5/2)/x","A",0
29,1,81,0,1.352327," ","integrate((b*x^2+a*x)^(5/2)/x^3,x, algorithm=""maxima"")","\frac{5 \, a^{3} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{16 \, \sqrt{b}} + \frac{5}{8} \, \sqrt{b x^{2} + a x} a^{2} + \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{12 \, x} + \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{3 \, x^{2}}"," ",0,"5/16*a^3*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/sqrt(b) + 5/8*sqrt(b*x^2 + a*x)*a^2 + 5/12*(b*x^2 + a*x)^(3/2)*a/x + 1/3*(b*x^2 + a*x)^(5/2)/x^2","A",0
30,1,84,0,1.375028," ","integrate((b*x^2+a*x)^(5/2)/x^4,x, algorithm=""maxima"")","\frac{15}{8} \, a^{2} \sqrt{b} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right) - \frac{15 \, \sqrt{b x^{2} + a x} a^{2}}{4 \, x} + \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{4 \, x^{2}} + \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{2 \, x^{3}}"," ",0,"15/8*a^2*sqrt(b)*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b)) - 15/4*sqrt(b*x^2 + a*x)*a^2/x + 5/4*(b*x^2 + a*x)^(3/2)*a/x^2 + 1/2*(b*x^2 + a*x)^(5/2)/x^3","A",0
31,1,99,0,1.423254," ","integrate((b*x^2+a*x)^(5/2)/x^5,x, algorithm=""maxima"")","\frac{5}{2} \, a b^{\frac{3}{2}} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right) - \frac{35 \, \sqrt{b x^{2} + a x} a b}{6 \, x} - \frac{5 \, \sqrt{b x^{2} + a x} a^{2}}{6 \, x^{2}} - \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{6 \, x^{3}} + \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{x^{4}}"," ",0,"5/2*a*b^(3/2)*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b)) - 35/6*sqrt(b*x^2 + a*x)*a*b/x - 5/6*sqrt(b*x^2 + a*x)*a^2/x^2 - 5/6*(b*x^2 + a*x)^(3/2)*a/x^3 + (b*x^2 + a*x)^(5/2)/x^4","A",0
32,1,134,0,1.422785," ","integrate((b*x^2+a*x)^(5/2)/x^6,x, algorithm=""maxima"")","b^{\frac{5}{2}} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right) - \frac{38 \, \sqrt{b x^{2} + a x} b^{2}}{15 \, x} - \frac{7 \, \sqrt{b x^{2} + a x} a b}{30 \, x^{2}} + \frac{3 \, \sqrt{b x^{2} + a x} a^{2}}{10 \, x^{3}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} b}{3 \, x^{3}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{2 \, x^{4}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{5 \, x^{5}}"," ",0,"b^(5/2)*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b)) - 38/15*sqrt(b*x^2 + a*x)*b^2/x - 7/30*sqrt(b*x^2 + a*x)*a*b/x^2 + 3/10*sqrt(b*x^2 + a*x)*a^2/x^3 - 1/3*(b*x^2 + a*x)^(3/2)*b/x^3 - 1/2*(b*x^2 + a*x)^(3/2)*a/x^4 - 1/5*(b*x^2 + a*x)^(5/2)/x^5","A",0
33,1,112,0,1.305638," ","integrate((b*x^2+a*x)^(5/2)/x^7,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{b x^{2} + a x} b^{3}}{7 \, a x} + \frac{\sqrt{b x^{2} + a x} b^{2}}{7 \, x^{2}} - \frac{3 \, \sqrt{b x^{2} + a x} a b}{28 \, x^{3}} - \frac{15 \, \sqrt{b x^{2} + a x} a^{2}}{28 \, x^{4}} + \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{4 \, x^{5}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{x^{6}}"," ",0,"-2/7*sqrt(b*x^2 + a*x)*b^3/(a*x) + 1/7*sqrt(b*x^2 + a*x)*b^2/x^2 - 3/28*sqrt(b*x^2 + a*x)*a*b/x^3 - 15/28*sqrt(b*x^2 + a*x)*a^2/x^4 + 5/4*(b*x^2 + a*x)^(3/2)*a/x^5 - (b*x^2 + a*x)^(5/2)/x^6","B",0
34,1,134,0,1.376990," ","integrate((b*x^2+a*x)^(5/2)/x^8,x, algorithm=""maxima"")","\frac{4 \, \sqrt{b x^{2} + a x} b^{4}}{63 \, a^{2} x} - \frac{2 \, \sqrt{b x^{2} + a x} b^{3}}{63 \, a x^{2}} + \frac{\sqrt{b x^{2} + a x} b^{2}}{42 \, x^{3}} - \frac{5 \, \sqrt{b x^{2} + a x} a b}{252 \, x^{4}} - \frac{5 \, \sqrt{b x^{2} + a x} a^{2}}{36 \, x^{5}} + \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{12 \, x^{6}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{2 \, x^{7}}"," ",0,"4/63*sqrt(b*x^2 + a*x)*b^4/(a^2*x) - 2/63*sqrt(b*x^2 + a*x)*b^3/(a*x^2) + 1/42*sqrt(b*x^2 + a*x)*b^2/x^3 - 5/252*sqrt(b*x^2 + a*x)*a*b/x^4 - 5/36*sqrt(b*x^2 + a*x)*a^2/x^5 + 5/12*(b*x^2 + a*x)^(3/2)*a/x^6 - 1/2*(b*x^2 + a*x)^(5/2)/x^7","B",0
35,1,156,0,1.446103," ","integrate((b*x^2+a*x)^(5/2)/x^9,x, algorithm=""maxima"")","-\frac{16 \, \sqrt{b x^{2} + a x} b^{5}}{693 \, a^{3} x} + \frac{8 \, \sqrt{b x^{2} + a x} b^{4}}{693 \, a^{2} x^{2}} - \frac{2 \, \sqrt{b x^{2} + a x} b^{3}}{231 \, a x^{3}} + \frac{5 \, \sqrt{b x^{2} + a x} b^{2}}{693 \, x^{4}} - \frac{5 \, \sqrt{b x^{2} + a x} a b}{792 \, x^{5}} - \frac{5 \, \sqrt{b x^{2} + a x} a^{2}}{88 \, x^{6}} + \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{24 \, x^{7}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{3 \, x^{8}}"," ",0,"-16/693*sqrt(b*x^2 + a*x)*b^5/(a^3*x) + 8/693*sqrt(b*x^2 + a*x)*b^4/(a^2*x^2) - 2/231*sqrt(b*x^2 + a*x)*b^3/(a*x^3) + 5/693*sqrt(b*x^2 + a*x)*b^2/x^4 - 5/792*sqrt(b*x^2 + a*x)*a*b/x^5 - 5/88*sqrt(b*x^2 + a*x)*a^2/x^6 + 5/24*(b*x^2 + a*x)^(3/2)*a/x^7 - 1/3*(b*x^2 + a*x)^(5/2)/x^8","B",0
36,1,178,0,1.460056," ","integrate((b*x^2+a*x)^(5/2)/x^10,x, algorithm=""maxima"")","\frac{32 \, \sqrt{b x^{2} + a x} b^{6}}{3003 \, a^{4} x} - \frac{16 \, \sqrt{b x^{2} + a x} b^{5}}{3003 \, a^{3} x^{2}} + \frac{4 \, \sqrt{b x^{2} + a x} b^{4}}{1001 \, a^{2} x^{3}} - \frac{10 \, \sqrt{b x^{2} + a x} b^{3}}{3003 \, a x^{4}} + \frac{5 \, \sqrt{b x^{2} + a x} b^{2}}{1716 \, x^{5}} - \frac{3 \, \sqrt{b x^{2} + a x} a b}{1144 \, x^{6}} - \frac{3 \, \sqrt{b x^{2} + a x} a^{2}}{104 \, x^{7}} + \frac{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{8 \, x^{8}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{4 \, x^{9}}"," ",0,"32/3003*sqrt(b*x^2 + a*x)*b^6/(a^4*x) - 16/3003*sqrt(b*x^2 + a*x)*b^5/(a^3*x^2) + 4/1001*sqrt(b*x^2 + a*x)*b^4/(a^2*x^3) - 10/3003*sqrt(b*x^2 + a*x)*b^3/(a*x^4) + 5/1716*sqrt(b*x^2 + a*x)*b^2/x^5 - 3/1144*sqrt(b*x^2 + a*x)*a*b/x^6 - 3/104*sqrt(b*x^2 + a*x)*a^2/x^7 + 1/8*(b*x^2 + a*x)^(3/2)*a/x^8 - 1/4*(b*x^2 + a*x)^(5/2)/x^9","B",0
37,1,200,0,1.448570," ","integrate((b*x^2+a*x)^(5/2)/x^11,x, algorithm=""maxima"")","-\frac{256 \, \sqrt{b x^{2} + a x} b^{7}}{45045 \, a^{5} x} + \frac{128 \, \sqrt{b x^{2} + a x} b^{6}}{45045 \, a^{4} x^{2}} - \frac{32 \, \sqrt{b x^{2} + a x} b^{5}}{15015 \, a^{3} x^{3}} + \frac{16 \, \sqrt{b x^{2} + a x} b^{4}}{9009 \, a^{2} x^{4}} - \frac{2 \, \sqrt{b x^{2} + a x} b^{3}}{1287 \, a x^{5}} + \frac{\sqrt{b x^{2} + a x} b^{2}}{715 \, x^{6}} - \frac{\sqrt{b x^{2} + a x} a b}{780 \, x^{7}} - \frac{\sqrt{b x^{2} + a x} a^{2}}{60 \, x^{8}} + \frac{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{12 \, x^{9}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{5 \, x^{10}}"," ",0,"-256/45045*sqrt(b*x^2 + a*x)*b^7/(a^5*x) + 128/45045*sqrt(b*x^2 + a*x)*b^6/(a^4*x^2) - 32/15015*sqrt(b*x^2 + a*x)*b^5/(a^3*x^3) + 16/9009*sqrt(b*x^2 + a*x)*b^4/(a^2*x^4) - 2/1287*sqrt(b*x^2 + a*x)*b^3/(a*x^5) + 1/715*sqrt(b*x^2 + a*x)*b^2/x^6 - 1/780*sqrt(b*x^2 + a*x)*a*b/x^7 - 1/60*sqrt(b*x^2 + a*x)*a^2/x^8 + 1/12*(b*x^2 + a*x)^(3/2)*a/x^9 - 1/5*(b*x^2 + a*x)^(5/2)/x^10","A",0
38,1,222,0,1.516096," ","integrate((b*x^2+a*x)^(5/2)/x^12,x, algorithm=""maxima"")","\frac{512 \, \sqrt{b x^{2} + a x} b^{8}}{153153 \, a^{6} x} - \frac{256 \, \sqrt{b x^{2} + a x} b^{7}}{153153 \, a^{5} x^{2}} + \frac{64 \, \sqrt{b x^{2} + a x} b^{6}}{51051 \, a^{4} x^{3}} - \frac{160 \, \sqrt{b x^{2} + a x} b^{5}}{153153 \, a^{3} x^{4}} + \frac{20 \, \sqrt{b x^{2} + a x} b^{4}}{21879 \, a^{2} x^{5}} - \frac{2 \, \sqrt{b x^{2} + a x} b^{3}}{2431 \, a x^{6}} + \frac{\sqrt{b x^{2} + a x} b^{2}}{1326 \, x^{7}} - \frac{\sqrt{b x^{2} + a x} a b}{1428 \, x^{8}} - \frac{5 \, \sqrt{b x^{2} + a x} a^{2}}{476 \, x^{9}} + \frac{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a}{84 \, x^{10}} - \frac{{\left(b x^{2} + a x\right)}^{\frac{5}{2}}}{6 \, x^{11}}"," ",0,"512/153153*sqrt(b*x^2 + a*x)*b^8/(a^6*x) - 256/153153*sqrt(b*x^2 + a*x)*b^7/(a^5*x^2) + 64/51051*sqrt(b*x^2 + a*x)*b^6/(a^4*x^3) - 160/153153*sqrt(b*x^2 + a*x)*b^5/(a^3*x^4) + 20/21879*sqrt(b*x^2 + a*x)*b^4/(a^2*x^5) - 2/2431*sqrt(b*x^2 + a*x)*b^3/(a*x^6) + 1/1326*sqrt(b*x^2 + a*x)*b^2/x^7 - 1/1428*sqrt(b*x^2 + a*x)*a*b/x^8 - 5/476*sqrt(b*x^2 + a*x)*a^2/x^9 + 5/84*(b*x^2 + a*x)^(3/2)*a/x^10 - 1/6*(b*x^2 + a*x)^(5/2)/x^11","A",0
39,1,49,0,2.966660," ","integrate(x*(-x^2+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(-x^{2} + 2 \, x\right)}^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{-x^{2} + 2 \, x} x - \frac{1}{2} \, \sqrt{-x^{2} + 2 \, x} - \frac{1}{2} \, \arcsin\left(-x + 1\right)"," ",0,"-1/3*(-x^2 + 2*x)^(3/2) + 1/2*sqrt(-x^2 + 2*x)*x - 1/2*sqrt(-x^2 + 2*x) - 1/2*arcsin(-x + 1)","A",0
40,1,49,0,2.950361," ","integrate(x*(-4*x^2+3*x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}} + \frac{3}{16} \, \sqrt{-4 \, x^{2} + 3 \, x} x - \frac{9}{128} \, \sqrt{-4 \, x^{2} + 3 \, x} - \frac{27}{512} \, \arcsin\left(-\frac{8}{3} \, x + 1\right)"," ",0,"-1/12*(-4*x^2 + 3*x)^(3/2) + 3/16*sqrt(-4*x^2 + 3*x)*x - 9/128*sqrt(-4*x^2 + 3*x) - 27/512*arcsin(-8/3*x + 1)","A",0
41,1,46,0,1.365359," ","integrate(x*(x^2+x)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{2} + x\right)}^{\frac{3}{2}} - \frac{1}{4} \, \sqrt{x^{2} + x} x - \frac{1}{8} \, \sqrt{x^{2} + x} + \frac{1}{16} \, \log\left(2 \, x + 2 \, \sqrt{x^{2} + x} + 1\right)"," ",0,"1/3*(x^2 + x)^(3/2) - 1/4*sqrt(x^2 + x)*x - 1/8*sqrt(x^2 + x) + 1/16*log(2*x + 2*sqrt(x^2 + x) + 1)","A",0
42,1,110,0,1.360938," ","integrate(x^4/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} x^{3}}{4 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} b x^{2}}{24 \, c^{2}} + \frac{35 \, \sqrt{c x^{2} + b x} b^{2} x}{96 \, c^{3}} + \frac{35 \, b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{9}{2}}} - \frac{35 \, \sqrt{c x^{2} + b x} b^{3}}{64 \, c^{4}}"," ",0,"1/4*sqrt(c*x^2 + b*x)*x^3/c - 7/24*sqrt(c*x^2 + b*x)*b*x^2/c^2 + 35/96*sqrt(c*x^2 + b*x)*b^2*x/c^3 + 35/128*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 35/64*sqrt(c*x^2 + b*x)*b^3/c^4","A",0
43,1,88,0,1.387110," ","integrate(x^3/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} x^{2}}{3 \, c} - \frac{5 \, \sqrt{c x^{2} + b x} b x}{12 \, c^{2}} - \frac{5 \, b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{7}{2}}} + \frac{5 \, \sqrt{c x^{2} + b x} b^{2}}{8 \, c^{3}}"," ",0,"1/3*sqrt(c*x^2 + b*x)*x^2/c - 5/12*sqrt(c*x^2 + b*x)*b*x/c^2 - 5/16*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 5/8*sqrt(c*x^2 + b*x)*b^2/c^3","A",0
44,1,66,0,1.341685," ","integrate(x^2/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} x}{2 \, c} + \frac{3 \, b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{5}{2}}} - \frac{3 \, \sqrt{c x^{2} + b x} b}{4 \, c^{2}}"," ",0,"1/2*sqrt(c*x^2 + b*x)*x/c + 3/8*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 3/4*sqrt(c*x^2 + b*x)*b/c^2","A",0
45,1,45,0,1.370768," ","integrate(x/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{3}{2}}} + \frac{\sqrt{c x^{2} + b x}}{c}"," ",0,"-1/2*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + sqrt(c*x^2 + b*x)/c","A",0
46,1,27,0,1.319895," ","integrate(1/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}}"," ",0,"log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c)","A",0
47,1,19,0,1.286889," ","integrate(1/x/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{c x^{2} + b x}}{b x}"," ",0,"-2*sqrt(c*x^2 + b*x)/(b*x)","A",0
48,1,40,0,1.355634," ","integrate(1/x^2/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{4 \, \sqrt{c x^{2} + b x} c}{3 \, b^{2} x} - \frac{2 \, \sqrt{c x^{2} + b x}}{3 \, b x^{2}}"," ",0,"4/3*sqrt(c*x^2 + b*x)*c/(b^2*x) - 2/3*sqrt(c*x^2 + b*x)/(b*x^2)","A",0
49,1,62,0,1.348550," ","integrate(1/x^3/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{16 \, \sqrt{c x^{2} + b x} c^{2}}{15 \, b^{3} x} + \frac{8 \, \sqrt{c x^{2} + b x} c}{15 \, b^{2} x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x}}{5 \, b x^{3}}"," ",0,"-16/15*sqrt(c*x^2 + b*x)*c^2/(b^3*x) + 8/15*sqrt(c*x^2 + b*x)*c/(b^2*x^2) - 2/5*sqrt(c*x^2 + b*x)/(b*x^3)","A",0
50,1,84,0,1.366167," ","integrate(1/x^4/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{32 \, \sqrt{c x^{2} + b x} c^{3}}{35 \, b^{4} x} - \frac{16 \, \sqrt{c x^{2} + b x} c^{2}}{35 \, b^{3} x^{2}} + \frac{12 \, \sqrt{c x^{2} + b x} c}{35 \, b^{2} x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x}}{7 \, b x^{4}}"," ",0,"32/35*sqrt(c*x^2 + b*x)*c^3/(b^4*x) - 16/35*sqrt(c*x^2 + b*x)*c^2/(b^3*x^2) + 12/35*sqrt(c*x^2 + b*x)*c/(b^2*x^3) - 2/7*sqrt(c*x^2 + b*x)/(b*x^4)","A",0
51,1,106,0,1.396942," ","integrate(1/x^5/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{256 \, \sqrt{c x^{2} + b x} c^{4}}{315 \, b^{5} x} + \frac{128 \, \sqrt{c x^{2} + b x} c^{3}}{315 \, b^{4} x^{2}} - \frac{32 \, \sqrt{c x^{2} + b x} c^{2}}{105 \, b^{3} x^{3}} + \frac{16 \, \sqrt{c x^{2} + b x} c}{63 \, b^{2} x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x}}{9 \, b x^{5}}"," ",0,"-256/315*sqrt(c*x^2 + b*x)*c^4/(b^5*x) + 128/315*sqrt(c*x^2 + b*x)*c^3/(b^4*x^2) - 32/105*sqrt(c*x^2 + b*x)*c^2/(b^3*x^3) + 16/63*sqrt(c*x^2 + b*x)*c/(b^2*x^4) - 2/9*sqrt(c*x^2 + b*x)/(b*x^5)","A",0
52,1,91,0,1.383231," ","integrate(x^4/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{x^{3}}{2 \, \sqrt{c x^{2} + b x} c} - \frac{5 \, b x^{2}}{4 \, \sqrt{c x^{2} + b x} c^{2}} - \frac{15 \, b^{2} x}{4 \, \sqrt{c x^{2} + b x} c^{3}} + \frac{15 \, b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{7}{2}}}"," ",0,"1/2*x^3/(sqrt(c*x^2 + b*x)*c) - 5/4*b*x^2/(sqrt(c*x^2 + b*x)*c^2) - 15/4*b^2*x/(sqrt(c*x^2 + b*x)*c^3) + 15/8*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2)","A",0
53,1,66,0,1.314174," ","integrate(x^3/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{\sqrt{c x^{2} + b x} c} + \frac{3 \, b x}{\sqrt{c x^{2} + b x} c^{2}} - \frac{3 \, b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{5}{2}}}"," ",0,"x^2/(sqrt(c*x^2 + b*x)*c) + 3*b*x/(sqrt(c*x^2 + b*x)*c^2) - 3/2*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2)","A",0
54,1,45,0,1.418450," ","integrate(x^2/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, x}{\sqrt{c x^{2} + b x} c} + \frac{\log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{3}{2}}}"," ",0,"-2*x/(sqrt(c*x^2 + b*x)*c) + log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2)","A",0
55,1,17,0,1.349798," ","integrate(x/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, x}{\sqrt{c x^{2} + b x} b}"," ",0,"2*x/(sqrt(c*x^2 + b*x)*b)","A",0
56,1,35,0,1.342275," ","integrate(1/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, c x}{\sqrt{c x^{2} + b x} b^{2}} - \frac{2}{\sqrt{c x^{2} + b x} b}"," ",0,"-4*c*x/(sqrt(c*x^2 + b*x)*b^2) - 2/(sqrt(c*x^2 + b*x)*b)","A",0
57,1,57,0,1.331225," ","integrate(1/x/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{16 \, c^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{8 \, c}{3 \, \sqrt{c x^{2} + b x} b^{2}} - \frac{2}{3 \, \sqrt{c x^{2} + b x} b x}"," ",0,"16/3*c^2*x/(sqrt(c*x^2 + b*x)*b^3) + 8/3*c/(sqrt(c*x^2 + b*x)*b^2) - 2/3/(sqrt(c*x^2 + b*x)*b*x)","A",0
58,1,79,0,1.311775," ","integrate(1/x^2/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{32 \, c^{3} x}{5 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{16 \, c^{2}}{5 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{4 \, c}{5 \, \sqrt{c x^{2} + b x} b^{2} x} - \frac{2}{5 \, \sqrt{c x^{2} + b x} b x^{2}}"," ",0,"-32/5*c^3*x/(sqrt(c*x^2 + b*x)*b^4) - 16/5*c^2/(sqrt(c*x^2 + b*x)*b^3) + 4/5*c/(sqrt(c*x^2 + b*x)*b^2*x) - 2/5/(sqrt(c*x^2 + b*x)*b*x^2)","A",0
59,1,101,0,1.307581," ","integrate(1/x^3/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{256 \, c^{4} x}{35 \, \sqrt{c x^{2} + b x} b^{5}} + \frac{128 \, c^{3}}{35 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{32 \, c^{2}}{35 \, \sqrt{c x^{2} + b x} b^{3} x} + \frac{16 \, c}{35 \, \sqrt{c x^{2} + b x} b^{2} x^{2}} - \frac{2}{7 \, \sqrt{c x^{2} + b x} b x^{3}}"," ",0,"256/35*c^4*x/(sqrt(c*x^2 + b*x)*b^5) + 128/35*c^3/(sqrt(c*x^2 + b*x)*b^4) - 32/35*c^2/(sqrt(c*x^2 + b*x)*b^3*x) + 16/35*c/(sqrt(c*x^2 + b*x)*b^2*x^2) - 2/7/(sqrt(c*x^2 + b*x)*b*x^3)","A",0
60,1,190,0,1.489033," ","integrate(x^6/(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","\frac{x^{5}}{2 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} b} - \frac{35 \, a^{2} x {\left(\frac{3 \, x^{2}}{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} b} + \frac{a x}{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} b^{2}} - \frac{2 \, x}{\sqrt{b x^{2} + a x} a b} - \frac{1}{\sqrt{b x^{2} + a x} b^{2}}\right)}}{24 \, b^{2}} - \frac{7 \, a x^{4}}{4 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} b^{2}} - \frac{35 \, a^{2} x}{6 \, \sqrt{b x^{2} + a x} b^{4}} + \frac{35 \, a^{2} \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{8 \, b^{\frac{9}{2}}} - \frac{35 \, \sqrt{b x^{2} + a x} a}{12 \, b^{4}}"," ",0,"1/2*x^5/((b*x^2 + a*x)^(3/2)*b) - 35/24*a^2*x*(3*x^2/((b*x^2 + a*x)^(3/2)*b) + a*x/((b*x^2 + a*x)^(3/2)*b^2) - 2*x/(sqrt(b*x^2 + a*x)*a*b) - 1/(sqrt(b*x^2 + a*x)*b^2))/b^2 - 7/4*a*x^4/((b*x^2 + a*x)^(3/2)*b^2) - 35/6*a^2*x/(sqrt(b*x^2 + a*x)*b^4) + 35/8*a^2*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/b^(9/2) - 35/12*sqrt(b*x^2 + a*x)*a/b^4","A",0
61,1,162,0,1.499432," ","integrate(x^5/(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","\frac{5 \, a x {\left(\frac{3 \, x^{2}}{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} b} + \frac{a x}{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} b^{2}} - \frac{2 \, x}{\sqrt{b x^{2} + a x} a b} - \frac{1}{\sqrt{b x^{2} + a x} b^{2}}\right)}}{6 \, b} + \frac{x^{4}}{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} b} + \frac{10 \, a x}{3 \, \sqrt{b x^{2} + a x} b^{3}} - \frac{5 \, a \log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{2 \, b^{\frac{7}{2}}} + \frac{5 \, \sqrt{b x^{2} + a x}}{3 \, b^{3}}"," ",0,"5/6*a*x*(3*x^2/((b*x^2 + a*x)^(3/2)*b) + a*x/((b*x^2 + a*x)^(3/2)*b^2) - 2*x/(sqrt(b*x^2 + a*x)*a*b) - 1/(sqrt(b*x^2 + a*x)*b^2))/b + x^4/((b*x^2 + a*x)^(3/2)*b) + 10/3*a*x/(sqrt(b*x^2 + a*x)*b^3) - 5/2*a*log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/b^(7/2) + 5/3*sqrt(b*x^2 + a*x)/b^3","B",0
62,1,140,0,1.500654," ","integrate(x^4/(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, x {\left(\frac{3 \, x^{2}}{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} b} + \frac{a x}{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} b^{2}} - \frac{2 \, x}{\sqrt{b x^{2} + a x} a b} - \frac{1}{\sqrt{b x^{2} + a x} b^{2}}\right)} - \frac{4 \, x}{3 \, \sqrt{b x^{2} + a x} b^{2}} + \frac{\log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{b^{\frac{5}{2}}} - \frac{2 \, \sqrt{b x^{2} + a x}}{3 \, a b^{2}}"," ",0,"-1/3*x*(3*x^2/((b*x^2 + a*x)^(3/2)*b) + a*x/((b*x^2 + a*x)^(3/2)*b^2) - 2*x/(sqrt(b*x^2 + a*x)*a*b) - 1/(sqrt(b*x^2 + a*x)*b^2)) - 4/3*x/(sqrt(b*x^2 + a*x)*b^2) + log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/b^(5/2) - 2/3*sqrt(b*x^2 + a*x)/(a*b^2)","B",0
63,1,74,0,1.391326," ","integrate(x^3/(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","-\frac{x^{2}}{{\left(b x^{2} + a x\right)}^{\frac{3}{2}} b} - \frac{a x}{3 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} b^{2}} + \frac{2 \, x}{3 \, \sqrt{b x^{2} + a x} a b} + \frac{1}{3 \, \sqrt{b x^{2} + a x} b^{2}}"," ",0,"-x^2/((b*x^2 + a*x)^(3/2)*b) - 1/3*a*x/((b*x^2 + a*x)^(3/2)*b^2) + 2/3*x/(sqrt(b*x^2 + a*x)*a*b) + 1/3/(sqrt(b*x^2 + a*x)*b^2)","B",0
64,1,54,0,1.474494," ","integrate(x^2/(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","\frac{4 \, x}{3 \, \sqrt{b x^{2} + a x} a^{2}} - \frac{2 \, x}{3 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} b} + \frac{2}{3 \, \sqrt{b x^{2} + a x} a b}"," ",0,"4/3*x/(sqrt(b*x^2 + a*x)*a^2) - 2/3*x/((b*x^2 + a*x)^(3/2)*b) + 2/3/(sqrt(b*x^2 + a*x)*a*b)","A",0
65,1,52,0,1.369055," ","integrate(x/(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, x}{3 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a} - \frac{16 \, b x}{3 \, \sqrt{b x^{2} + a x} a^{3}} - \frac{8}{3 \, \sqrt{b x^{2} + a x} a^{2}}"," ",0,"2/3*x/((b*x^2 + a*x)^(3/2)*a) - 16/3*b*x/(sqrt(b*x^2 + a*x)*a^3) - 8/3/(sqrt(b*x^2 + a*x)*a^2)","A",0
66,1,72,0,1.318796," ","integrate(1/(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","-\frac{4 \, b x}{3 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{2}} + \frac{32 \, b^{2} x}{3 \, \sqrt{b x^{2} + a x} a^{4}} - \frac{2}{3 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a} + \frac{16 \, b}{3 \, \sqrt{b x^{2} + a x} a^{3}}"," ",0,"-4/3*b*x/((b*x^2 + a*x)^(3/2)*a^2) + 32/3*b^2*x/(sqrt(b*x^2 + a*x)*a^4) - 2/3/((b*x^2 + a*x)^(3/2)*a) + 16/3*b/(sqrt(b*x^2 + a*x)*a^3)","A",0
67,1,96,0,1.411979," ","integrate(1/x/(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","\frac{32 \, b^{2} x}{15 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{3}} - \frac{256 \, b^{3} x}{15 \, \sqrt{b x^{2} + a x} a^{5}} + \frac{16 \, b}{15 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{2}} - \frac{128 \, b^{2}}{15 \, \sqrt{b x^{2} + a x} a^{4}} - \frac{2}{5 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a x}"," ",0,"32/15*b^2*x/((b*x^2 + a*x)^(3/2)*a^3) - 256/15*b^3*x/(sqrt(b*x^2 + a*x)*a^5) + 16/15*b/((b*x^2 + a*x)^(3/2)*a^2) - 128/15*b^2/(sqrt(b*x^2 + a*x)*a^4) - 2/5/((b*x^2 + a*x)^(3/2)*a*x)","A",0
68,1,118,0,1.375384," ","integrate(1/x^2/(b*x^2+a*x)^(5/2),x, algorithm=""maxima"")","-\frac{64 \, b^{3} x}{21 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{4}} + \frac{512 \, b^{4} x}{21 \, \sqrt{b x^{2} + a x} a^{6}} - \frac{32 \, b^{2}}{21 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{3}} + \frac{256 \, b^{3}}{21 \, \sqrt{b x^{2} + a x} a^{5}} + \frac{4 \, b}{7 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a^{2} x} - \frac{2}{7 \, {\left(b x^{2} + a x\right)}^{\frac{3}{2}} a x^{2}}"," ",0,"-64/21*b^3*x/((b*x^2 + a*x)^(3/2)*a^4) + 512/21*b^4*x/(sqrt(b*x^2 + a*x)*a^6) - 32/21*b^2/((b*x^2 + a*x)^(3/2)*a^3) + 256/21*b^3/(sqrt(b*x^2 + a*x)*a^5) + 4/7*b/((b*x^2 + a*x)^(3/2)*a^2*x) - 2/7/((b*x^2 + a*x)^(3/2)*a*x^2)","A",0
69,1,22,0,3.055240," ","integrate(x/(-x^2+4*x)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 4 \, x} - 2 \, \arcsin\left(-\frac{1}{2} \, x + 1\right)"," ",0,"-sqrt(-x^2 + 4*x) - 2*arcsin(-1/2*x + 1)","A",0
70,1,29,0,1.378158," ","integrate(x/(x^2-4*x)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} - 4 \, x} + 2 \, \log\left(2 \, x + 2 \, \sqrt{x^{2} - 4 \, x} - 4\right)"," ",0,"sqrt(x^2 - 4*x) + 2*log(2*x + 2*sqrt(x^2 - 4*x) - 4)","A",0
71,1,36,0,2.922474," ","integrate(x^2/(-x^2+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-x^{2} + 2 \, x} x - \frac{3}{2} \, \sqrt{-x^{2} + 2 \, x} - \frac{3}{2} \, \arcsin\left(-x + 1\right)"," ",0,"-1/2*sqrt(-x^2 + 2*x)*x - 3/2*sqrt(-x^2 + 2*x) - 3/2*arcsin(-x + 1)","A",0
72,1,64,0,1.480575," ","integrate(x^(7/2)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, c^{5} x^{5} + 35 \, b c^{4} x^{4} - 40 \, b^{2} c^{3} x^{3} + 48 \, b^{3} c^{2} x^{2} - 64 \, b^{4} c x + 128 \, b^{5}\right)} \sqrt{c x + b}}{3465 \, c^{5}}"," ",0,"2/3465*(315*c^5*x^5 + 35*b*c^4*x^4 - 40*b^2*c^3*x^3 + 48*b^3*c^2*x^2 - 64*b^4*c*x + 128*b^5)*sqrt(c*x + b)/c^5","A",0
73,1,53,0,1.493711," ","integrate(x^(5/2)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, c^{4} x^{4} + 5 \, b c^{3} x^{3} - 6 \, b^{2} c^{2} x^{2} + 8 \, b^{3} c x - 16 \, b^{4}\right)} \sqrt{c x + b}}{315 \, c^{4}}"," ",0,"2/315*(35*c^4*x^4 + 5*b*c^3*x^3 - 6*b^2*c^2*x^2 + 8*b^3*c*x - 16*b^4)*sqrt(c*x + b)/c^4","A",0
74,1,42,0,1.450892," ","integrate(x^(3/2)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, c^{3} x^{3} + 3 \, b c^{2} x^{2} - 4 \, b^{2} c x + 8 \, b^{3}\right)} \sqrt{c x + b}}{105 \, c^{3}}"," ",0,"2/105*(15*c^3*x^3 + 3*b*c^2*x^2 - 4*b^2*c*x + 8*b^3)*sqrt(c*x + b)/c^3","A",0
75,1,30,0,1.493420," ","integrate(x^(1/2)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, c^{2} x^{2} + b c x - 2 \, b^{2}\right)} \sqrt{c x + b}}{15 \, c^{2}}"," ",0,"2/15*(3*c^2*x^2 + b*c*x - 2*b^2)*sqrt(c*x + b)/c^2","A",0
76,1,12,0,1.462223," ","integrate((c*x^2+b*x)^(1/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c x + b\right)}^{\frac{3}{2}}}{3 \, c}"," ",0,"2/3*(c*x + b)^(3/2)/c","A",0
77,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/x^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)/x^(3/2), x)","F",0
78,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/x^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)/x^(5/2), x)","F",0
79,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/x^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)/x^(7/2), x)","F",0
80,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/x^(9/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)/x^(9/2), x)","F",0
81,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/x^(11/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x}}{x^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)/x^(11/2), x)","F",0
82,1,168,0,1.476412," ","integrate(x^(7/2)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(3003 \, c^{7} x^{7} + 231 \, b c^{6} x^{6} - 252 \, b^{2} c^{5} x^{5} + 280 \, b^{3} c^{4} x^{4} - 320 \, b^{4} c^{3} x^{3} + 384 \, b^{5} c^{2} x^{2} - 512 \, b^{6} c x + 1024 \, b^{7}\right)} x^{6} + 5 \, {\left(693 \, b c^{6} x^{7} + 63 \, b^{2} c^{5} x^{6} - 70 \, b^{3} c^{4} x^{5} + 80 \, b^{4} c^{3} x^{4} - 96 \, b^{5} c^{2} x^{3} + 128 \, b^{6} c x^{2} - 256 \, b^{7} x\right)} x^{5}\right)} \sqrt{c x + b}}{45045 \, c^{6} x^{6}}"," ",0,"2/45045*((3003*c^7*x^7 + 231*b*c^6*x^6 - 252*b^2*c^5*x^5 + 280*b^3*c^4*x^4 - 320*b^4*c^3*x^3 + 384*b^5*c^2*x^2 - 512*b^6*c*x + 1024*b^7)*x^6 + 5*(693*b*c^6*x^7 + 63*b^2*c^5*x^6 - 70*b^3*c^4*x^5 + 80*b^4*c^3*x^4 - 96*b^5*c^2*x^3 + 128*b^6*c*x^2 - 256*b^7*x)*x^5)*sqrt(c*x + b)/(c^6*x^6)","A",0
83,1,147,0,1.503624," ","integrate(x^(5/2)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, {\left(693 \, c^{6} x^{6} + 63 \, b c^{5} x^{5} - 70 \, b^{2} c^{4} x^{4} + 80 \, b^{3} c^{3} x^{3} - 96 \, b^{4} c^{2} x^{2} + 128 \, b^{5} c x - 256 \, b^{6}\right)} x^{5} + 13 \, {\left(315 \, b c^{5} x^{6} + 35 \, b^{2} c^{4} x^{5} - 40 \, b^{3} c^{3} x^{4} + 48 \, b^{4} c^{2} x^{3} - 64 \, b^{5} c x^{2} + 128 \, b^{6} x\right)} x^{4}\right)} \sqrt{c x + b}}{45045 \, c^{5} x^{5}}"," ",0,"2/45045*(5*(693*c^6*x^6 + 63*b*c^5*x^5 - 70*b^2*c^4*x^4 + 80*b^3*c^3*x^3 - 96*b^4*c^2*x^2 + 128*b^5*c*x - 256*b^6)*x^5 + 13*(315*b*c^5*x^6 + 35*b^2*c^4*x^5 - 40*b^3*c^3*x^4 + 48*b^4*c^2*x^3 - 64*b^5*c*x^2 + 128*b^6*x)*x^4)*sqrt(c*x + b)/(c^5*x^5)","A",0
84,1,124,0,1.428154," ","integrate(x^(3/2)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(315 \, c^{5} x^{5} + 35 \, b c^{4} x^{4} - 40 \, b^{2} c^{3} x^{3} + 48 \, b^{3} c^{2} x^{2} - 64 \, b^{4} c x + 128 \, b^{5}\right)} x^{4} + 11 \, {\left(35 \, b c^{4} x^{5} + 5 \, b^{2} c^{3} x^{4} - 6 \, b^{3} c^{2} x^{3} + 8 \, b^{4} c x^{2} - 16 \, b^{5} x\right)} x^{3}\right)} \sqrt{c x + b}}{3465 \, c^{4} x^{4}}"," ",0,"2/3465*((315*c^5*x^5 + 35*b*c^4*x^4 - 40*b^2*c^3*x^3 + 48*b^3*c^2*x^2 - 64*b^4*c*x + 128*b^5)*x^4 + 11*(35*b*c^4*x^5 + 5*b^2*c^3*x^4 - 6*b^3*c^2*x^3 + 8*b^4*c*x^2 - 16*b^5*x)*x^3)*sqrt(c*x + b)/(c^4*x^4)","A",0
85,1,102,0,1.465909," ","integrate(x^(1/2)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(35 \, c^{4} x^{4} + 5 \, b c^{3} x^{3} - 6 \, b^{2} c^{2} x^{2} + 8 \, b^{3} c x - 16 \, b^{4}\right)} x^{3} + 3 \, {\left(15 \, b c^{3} x^{4} + 3 \, b^{2} c^{2} x^{3} - 4 \, b^{3} c x^{2} + 8 \, b^{4} x\right)} x^{2}\right)} \sqrt{c x + b}}{315 \, c^{3} x^{3}}"," ",0,"2/315*((35*c^4*x^4 + 5*b*c^3*x^3 - 6*b^2*c^2*x^2 + 8*b^3*c*x - 16*b^4)*x^3 + 3*(15*b*c^3*x^4 + 3*b^2*c^2*x^3 - 4*b^3*c*x^2 + 8*b^4*x)*x^2)*sqrt(c*x + b)/(c^3*x^3)","A",0
86,1,77,0,1.468703," ","integrate((c*x^2+b*x)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(15 \, c^{3} x^{3} + 3 \, b c^{2} x^{2} - 4 \, b^{2} c x + 8 \, b^{3}\right)} x^{2} + 7 \, {\left(3 \, b c^{2} x^{3} + b^{2} c x^{2} - 2 \, b^{3} x\right)} x\right)} \sqrt{c x + b}}{105 \, c^{2} x^{2}}"," ",0,"2/105*((15*c^3*x^3 + 3*b*c^2*x^2 - 4*b^2*c*x + 8*b^3)*x^2 + 7*(3*b*c^2*x^3 + b^2*c*x^2 - 2*b^3*x)*x)*sqrt(c*x + b)/(c^2*x^2)","A",0
87,1,49,0,1.515016," ","integrate((c*x^2+b*x)^(3/2)/x^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, b c x^{2} + 5 \, b^{2} x + {\left(3 \, c^{2} x^{2} + b c x - 2 \, b^{2}\right)} x\right)} \sqrt{c x + b}}{15 \, c x}"," ",0,"2/15*(5*b*c*x^2 + 5*b^2*x + (3*c^2*x^2 + b*c*x - 2*b^2)*x)*sqrt(c*x + b)/(c*x)","B",0
88,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/x^(5/2),x, algorithm=""maxima"")","b \int \frac{\sqrt{c x + b}}{x}\,{d x} + \frac{2}{3} \, {\left(c x + b\right)}^{\frac{3}{2}}"," ",0,"b*integrate(sqrt(c*x + b)/x, x) + 2/3*(c*x + b)^(3/2)","F",0
89,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/x^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/x^(7/2), x)","F",0
90,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/x^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/x^(9/2), x)","F",0
91,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/x^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{x^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/x^(11/2), x)","F",0
92,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/x^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{x^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/x^(13/2), x)","F",0
93,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/x^(15/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{x^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/x^(15/2), x)","F",0
94,1,53,0,1.461111," ","integrate(x^(7/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, c^{4} x^{4} - b c^{3} x^{3} + 2 \, b^{2} c^{2} x^{2} - 8 \, b^{3} c x - 16 \, b^{4}\right)}}{35 \, \sqrt{c x + b} c^{4}}"," ",0,"2/35*(5*c^4*x^4 - b*c^3*x^3 + 2*b^2*c^2*x^2 - 8*b^3*c*x - 16*b^4)/(sqrt(c*x + b)*c^4)","A",0
95,1,42,0,1.504852," ","integrate(x^(5/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, c^{3} x^{3} - b c^{2} x^{2} + 4 \, b^{2} c x + 8 \, b^{3}\right)}}{15 \, \sqrt{c x + b} c^{3}}"," ",0,"2/15*(3*c^3*x^3 - b*c^2*x^2 + 4*b^2*c*x + 8*b^3)/(sqrt(c*x + b)*c^3)","A",0
96,1,30,0,1.464805," ","integrate(x^(3/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} x^{2} - b c x - 2 \, b^{2}\right)}}{3 \, \sqrt{c x + b} c^{2}}"," ",0,"2/3*(c^2*x^2 - b*c*x - 2*b^2)/(sqrt(c*x + b)*c^2)","A",0
97,1,12,0,1.414610," ","integrate(x^(1/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{c x + b}}{c}"," ",0,"2*sqrt(c*x + b)/c","A",0
98,0,0,0,0.000000," ","integrate(1/x^(1/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x} \sqrt{x}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x)*sqrt(x)), x)","F",0
99,0,0,0,0.000000," ","integrate(1/x^(3/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x)*x^(3/2)), x)","F",0
100,0,0,0,0.000000," ","integrate(1/x^(5/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x)*x^(5/2)), x)","F",0
101,0,0,0,0.000000," ","integrate(1/x^(7/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x} x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x)*x^(7/2)), x)","F",0
102,0,0,0,0.000000," ","integrate(x^(13/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(35 \, c^{6} x^{5} - 5 \, b c^{5} x^{4} + 8 \, b^{2} c^{4} x^{3} - 16 \, b^{3} c^{3} x^{2} + 64 \, b^{4} c^{2} x + 128 \, b^{5} c\right)} x^{5} - 2 \, {\left(5 \, b c^{5} x^{5} - 2 \, b^{2} c^{4} x^{4} + 5 \, b^{3} c^{3} x^{3} - 28 \, b^{4} c^{2} x^{2} - 104 \, b^{5} c x - 64 \, b^{6}\right)} x^{4} + 6 \, {\left(3 \, b^{2} c^{4} x^{5} - 2 \, b^{3} c^{3} x^{4} + 11 \, b^{4} c^{2} x^{3} + 40 \, b^{5} c x^{2} + 24 \, b^{6} x\right)} x^{3} - 42 \, {\left(b^{3} c^{3} x^{5} - 2 \, b^{4} c^{2} x^{4} - 7 \, b^{5} c x^{3} - 4 \, b^{6} x^{2}\right)} x^{2} + 210 \, {\left(b^{4} c^{2} x^{5} + 2 \, b^{5} c x^{4} + b^{6} x^{3}\right)} x\right)}}{315 \, {\left(c^{7} x^{5} + b c^{6} x^{4}\right)} \sqrt{c x + b}} - \int \frac{2 \, {\left(b^{5} c x + b^{6}\right)} x}{{\left(c^{7} x^{3} + 2 \, b c^{6} x^{2} + b^{2} c^{5} x\right)} \sqrt{c x + b}}\,{d x}"," ",0,"2/315*((35*c^6*x^5 - 5*b*c^5*x^4 + 8*b^2*c^4*x^3 - 16*b^3*c^3*x^2 + 64*b^4*c^2*x + 128*b^5*c)*x^5 - 2*(5*b*c^5*x^5 - 2*b^2*c^4*x^4 + 5*b^3*c^3*x^3 - 28*b^4*c^2*x^2 - 104*b^5*c*x - 64*b^6)*x^4 + 6*(3*b^2*c^4*x^5 - 2*b^3*c^3*x^4 + 11*b^4*c^2*x^3 + 40*b^5*c*x^2 + 24*b^6*x)*x^3 - 42*(b^3*c^3*x^5 - 2*b^4*c^2*x^4 - 7*b^5*c*x^3 - 4*b^6*x^2)*x^2 + 210*(b^4*c^2*x^5 + 2*b^5*c*x^4 + b^6*x^3)*x)/((c^7*x^5 + b*c^6*x^4)*sqrt(c*x + b)) - integrate(2*(b^5*c*x + b^6)*x/((c^7*x^3 + 2*b*c^6*x^2 + b^2*c^5*x)*sqrt(c*x + b)), x)","F",0
103,0,0,0,0.000000," ","integrate(x^(11/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, {\left(5 \, c^{5} x^{4} - b c^{4} x^{3} + 2 \, b^{2} c^{3} x^{2} - 8 \, b^{3} c^{2} x - 16 \, b^{4} c\right)} x^{4} - 2 \, {\left(3 \, b c^{4} x^{4} - 2 \, b^{2} c^{3} x^{3} + 11 \, b^{3} c^{2} x^{2} + 40 \, b^{4} c x + 24 \, b^{5}\right)} x^{3} + 14 \, {\left(b^{2} c^{3} x^{4} - 2 \, b^{3} c^{2} x^{3} - 7 \, b^{4} c x^{2} - 4 \, b^{5} x\right)} x^{2} - 70 \, {\left(b^{3} c^{2} x^{4} + 2 \, b^{4} c x^{3} + b^{5} x^{2}\right)} x\right)}}{105 \, {\left(c^{6} x^{4} + b c^{5} x^{3}\right)} \sqrt{c x + b}} + \int \frac{2 \, {\left(b^{4} c x + b^{5}\right)} x}{{\left(c^{6} x^{3} + 2 \, b c^{5} x^{2} + b^{2} c^{4} x\right)} \sqrt{c x + b}}\,{d x}"," ",0,"2/105*(3*(5*c^5*x^4 - b*c^4*x^3 + 2*b^2*c^3*x^2 - 8*b^3*c^2*x - 16*b^4*c)*x^4 - 2*(3*b*c^4*x^4 - 2*b^2*c^3*x^3 + 11*b^3*c^2*x^2 + 40*b^4*c*x + 24*b^5)*x^3 + 14*(b^2*c^3*x^4 - 2*b^3*c^2*x^3 - 7*b^4*c*x^2 - 4*b^5*x)*x^2 - 70*(b^3*c^2*x^4 + 2*b^4*c*x^3 + b^5*x^2)*x)/((c^6*x^4 + b*c^5*x^3)*sqrt(c*x + b)) + integrate(2*(b^4*c*x + b^5)*x/((c^6*x^3 + 2*b*c^5*x^2 + b^2*c^4*x)*sqrt(c*x + b)), x)","F",0
104,0,0,0,0.000000," ","integrate(x^(9/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(3 \, c^{4} x^{3} - b c^{3} x^{2} + 4 \, b^{2} c^{2} x + 8 \, b^{3} c\right)} x^{3} - 2 \, {\left(b c^{3} x^{3} - 2 \, b^{2} c^{2} x^{2} - 7 \, b^{3} c x - 4 \, b^{4}\right)} x^{2} + 10 \, {\left(b^{2} c^{2} x^{3} + 2 \, b^{3} c x^{2} + b^{4} x\right)} x\right)}}{15 \, {\left(c^{5} x^{3} + b c^{4} x^{2}\right)} \sqrt{c x + b}} - \int \frac{2 \, {\left(b^{3} c x + b^{4}\right)} x}{{\left(c^{5} x^{3} + 2 \, b c^{4} x^{2} + b^{2} c^{3} x\right)} \sqrt{c x + b}}\,{d x}"," ",0,"2/15*((3*c^4*x^3 - b*c^3*x^2 + 4*b^2*c^2*x + 8*b^3*c)*x^3 - 2*(b*c^3*x^3 - 2*b^2*c^2*x^2 - 7*b^3*c*x - 4*b^4)*x^2 + 10*(b^2*c^2*x^3 + 2*b^3*c*x^2 + b^4*x)*x)/((c^5*x^3 + b*c^4*x^2)*sqrt(c*x + b)) - integrate(2*(b^3*c*x + b^4)*x/((c^5*x^3 + 2*b*c^4*x^2 + b^2*c^3*x)*sqrt(c*x + b)), x)","F",0
105,0,0,0,0.000000," ","integrate(x^(7/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(c^{3} x^{2} - b c^{2} x - 2 \, b^{2} c\right)} x^{2} - 2 \, {\left(b c^{2} x^{2} + 2 \, b^{2} c x + b^{3}\right)} x\right)}}{3 \, {\left(c^{4} x^{2} + b c^{3} x\right)} \sqrt{c x + b}} + \int \frac{2 \, {\left(b^{2} c x + b^{3}\right)} x}{{\left(c^{4} x^{3} + 2 \, b c^{3} x^{2} + b^{2} c^{2} x\right)} \sqrt{c x + b}}\,{d x}"," ",0,"2/3*((c^3*x^2 - b*c^2*x - 2*b^2*c)*x^2 - 2*(b*c^2*x^2 + 2*b^2*c*x + b^3)*x)/((c^4*x^2 + b*c^3*x)*sqrt(c*x + b)) + integrate(2*(b^2*c*x + b^3)*x/((c^4*x^3 + 2*b*c^3*x^2 + b^2*c^2*x)*sqrt(c*x + b)), x)","F",0
106,0,0,0,0.000000," ","integrate(x^(5/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{c x + b} x}{c^{2} x + b c} - \int \frac{2 \, {\left(b c x + b^{2}\right)} x}{{\left(c^{3} x^{3} + 2 \, b c^{2} x^{2} + b^{2} c x\right)} \sqrt{c x + b}}\,{d x}"," ",0,"2*sqrt(c*x + b)*x/(c^2*x + b*c) - integrate(2*(b*c*x + b^2)*x/((c^3*x^3 + 2*b*c^2*x^2 + b^2*c*x)*sqrt(c*x + b)), x)","F",0
107,0,0,0,0.000000," ","integrate(x^(3/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{3}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^(3/2)/(c*x^2 + b*x)^(3/2), x)","F",0
108,0,0,0,0.000000," ","integrate(x^(1/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(x)/(c*x^2 + b*x)^(3/2), x)","F",0
109,0,0,0,0.000000," ","integrate(1/x^(1/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} \sqrt{x}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x)^(3/2)*sqrt(x)), x)","F",0
110,0,0,0,0.000000," ","integrate(1/x^(3/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x)^(3/2)*x^(3/2)), x)","F",0
111,0,0,0,0.000000," ","integrate(1/x^(5/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x)^(3/2)*x^(5/2)), x)","F",0
112,1,77,0,1.500530," ","integrate((d*x)^m*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{c^{3} d^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, b c^{2} d^{m} x^{6} x^{m}}{m + 6} + \frac{3 \, b^{2} c d^{m} x^{5} x^{m}}{m + 5} + \frac{b^{3} d^{m} x^{4} x^{m}}{m + 4}"," ",0,"c^3*d^m*x^7*x^m/(m + 7) + 3*b*c^2*d^m*x^6*x^m/(m + 6) + 3*b^2*c*d^m*x^5*x^m/(m + 5) + b^3*d^m*x^4*x^m/(m + 4)","A",0
113,1,55,0,1.525012," ","integrate((d*x)^m*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{c^{2} d^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, b c d^{m} x^{4} x^{m}}{m + 4} + \frac{b^{2} d^{m} x^{3} x^{m}}{m + 3}"," ",0,"c^2*d^m*x^5*x^m/(m + 5) + 2*b*c*d^m*x^4*x^m/(m + 4) + b^2*d^m*x^3*x^m/(m + 3)","A",0
114,1,33,0,1.479224," ","integrate((d*x)^m*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{c d^{m} x^{3} x^{m}}{m + 3} + \frac{b d^{m} x^{2} x^{m}}{m + 2}"," ",0,"c*d^m*x^3*x^m/(m + 3) + b*d^m*x^2*x^m/(m + 2)","A",0
115,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^2+b*x),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{c x^{2} + b x}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^2 + b*x), x)","F",0
116,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{{\left(c x^{2} + b x\right)}^{2}}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^2 + b*x)^2, x)","F",0
117,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{{\left(c x^{2} + b x\right)}^{3}}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^2 + b*x)^3, x)","F",0
118,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{5}{2}} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)*(d*x)^m, x)","F",0
119,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{3}{2}} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(d*x)^m, x)","F",0
120,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(d*x)^m, x)","F",0
121,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{\sqrt{c x^{2} + b x}}\,{d x}"," ",0,"integrate((d*x)^m/sqrt(c*x^2 + b*x), x)","F",0
122,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^2 + b*x)^(3/2), x)","F",0
123,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^2 + b*x)^(5/2), x)","F",0
124,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{p} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p*(d*x)^m, x)","F",0
125,0,0,0,0.000000," ","integrate(x^3*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p*x^3, x)","F",0
126,0,0,0,0.000000," ","integrate(x^2*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p*x^2, x)","F",0
127,0,0,0,0.000000," ","integrate(x*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{p} x\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p*x, x)","F",0
128,0,0,0,0.000000," ","integrate((c*x^2+b*x)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{p}}{x}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p/x, x)","F",0
129,0,0,0,0.000000," ","integrate((c*x^2+b*x)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p/x^2, x)","F",0
130,0,0,0,0.000000," ","integrate((c*x^2+b*x)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p/x^3, x)","F",0
131,0,0,0,0.000000," ","integrate((d*x)^(5/2)*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\int \left(d x\right)^{\frac{5}{2}} {\left(c x^{2} + b x\right)}^{p}\,{d x}"," ",0,"integrate((d*x)^(5/2)*(c*x^2 + b*x)^p, x)","F",0
132,0,0,0,0.000000," ","integrate((d*x)^(3/2)*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\int \left(d x\right)^{\frac{3}{2}} {\left(c x^{2} + b x\right)}^{p}\,{d x}"," ",0,"integrate((d*x)^(3/2)*(c*x^2 + b*x)^p, x)","F",0
133,0,0,0,0.000000," ","integrate((d*x)^(1/2)*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\int \sqrt{d x} {\left(c x^{2} + b x\right)}^{p}\,{d x}"," ",0,"integrate(sqrt(d*x)*(c*x^2 + b*x)^p, x)","F",0
134,0,0,0,0.000000," ","integrate((c*x^2+b*x)^p/(d*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{p}}{\sqrt{d x}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p/sqrt(d*x), x)","F",0
135,0,0,0,0.000000," ","integrate((c*x^2+b*x)^p/(d*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{p}}{\left(d x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p/(d*x)^(3/2), x)","F",0
136,0,0,0,0.000000," ","integrate((c*x^2+b*x)^p/(d*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{p}}{\left(d x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p/(d*x)^(5/2), x)","F",0
137,1,160,0,1.460131," ","integrate(x^4*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{3}}{6 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} x}{2 \, b^{4}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x^{2}}{10 \, b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5}}{2 \, b^{5}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{5 \, b^{4}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{15 \, b^{5}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^3/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*x/b^4 - 3/10*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x^2/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5/b^5 + 2/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^4 - 7/15*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^5","B",0
138,1,131,0,1.444516," ","integrate(x^3*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} x}{2 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{2}}{5 \, b^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}}{2 \, b^{4}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{20 \, b^{3}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{20 \, b^{4}}"," ",0,"-1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*x/b^3 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^2/b^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4/b^4 - 7/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b^3 + 9/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^4","B",0
139,1,102,0,1.413154," ","integrate(x^2*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x}{2 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}}{2 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x}{4 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a}{12 \, b^{3}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x/b^2 - 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a/b^3","B",0
140,1,75,0,1.399193," ","integrate(x*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a x}{2 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{2 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{3 \, b^{2}}"," ",0,"-1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*x/b - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^2 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/b^2","A",0
141,1,46,0,1.332651," ","integrate(((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} x + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a}{2 \, b}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*x + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a/b","B",0
142,1,82,0,1.452240," ","integrate(((b*x+a)^2)^(1/2)/x,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} a \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} a \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*a*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*a*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + sqrt(b^2*x^2 + 2*a*b*x + a^2)","B",0
143,1,87,0,1.357864," ","integrate(((b*x+a)^2)^(1/2)/x^2,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} b \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}{x}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*b*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - sqrt(b^2*x^2 + 2*a*b*x + a^2)/x","B",0
144,1,80,0,1.412794," ","integrate(((b*x+a)^2)^(1/2)/x^3,x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}}{2 \, a^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b}{2 \, a x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{2 \, a^{2} x^{2}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2/a^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b/(a*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/(a^2*x^2)","B",0
145,1,109,0,1.432755," ","integrate(((b*x+a)^2)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}}{2 \, a^{3}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}}{2 \, a^{2} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b}{2 \, a^{3} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{3 \, a^{2} x^{3}}"," ",0,"-1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3/a^3 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2/(a^2*x) + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b/(a^3*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/(a^2*x^3)","B",0
146,1,138,0,1.383321," ","integrate(((b*x+a)^2)^(1/2)/x^5,x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}}{2 \, a^{4}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}}{2 \, a^{3} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}}{2 \, a^{4} x^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b}{12 \, a^{3} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{4 \, a^{2} x^{4}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4/a^4 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3/(a^3*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2/(a^4*x^2) + 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b/(a^3*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/(a^2*x^4)","B",0
147,1,167,0,1.455464," ","integrate(((b*x+a)^2)^(1/2)/x^6,x, algorithm=""maxima"")","-\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}}{2 \, a^{5}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}}{2 \, a^{4} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{3}}{2 \, a^{5} x^{2}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}}{20 \, a^{4} x^{3}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b}{20 \, a^{3} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{5 \, a^{2} x^{5}}"," ",0,"-1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5/a^5 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4/(a^4*x) + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^3/(a^5*x^2) - 9/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2/(a^4*x^3) + 7/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b/(a^3*x^4) - 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/(a^2*x^5)","B",0
148,1,189,0,1.537064," ","integrate(x^5*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{4}}{9 \, b^{2}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{3}}{72 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} x}{4 \, b^{5}} + \frac{37 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{2}}{168 \, b^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6}}{4 \, b^{6}} - \frac{121 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{504 \, b^{5}} + \frac{125 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{504 \, b^{6}}"," ",0,"1/9*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^4/b^2 - 13/72*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^3/b^3 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*x/b^5 + 37/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x^2/b^4 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6/b^6 - 121/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^5 + 125/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^6","A",0
149,1,160,0,1.520465," ","integrate(x^4*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{3}}{8 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} x}{4 \, b^{4}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{2}}{56 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5}}{4 \, b^{5}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{56 \, b^{4}} - \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{280 \, b^{5}}"," ",0,"1/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^3/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*x/b^4 - 11/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^2/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5/b^5 + 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^4 - 69/280*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^5","A",0
150,1,131,0,1.344356," ","integrate(x^3*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{4 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{2}}{7 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{4 \, b^{4}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{14 \, b^{3}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{70 \, b^{4}}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^3 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^2/b^2 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^4 - 3/14*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b^3 + 17/70*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^4","A",0
151,1,102,0,1.368302," ","integrate(x^2*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{4 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x}{6 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{30 \, b^{3}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x/b^2 - 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b^3","A",0
152,1,75,0,1.387519," ","integrate(x*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, b^{2}}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^2 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b^2","A",0
153,1,46,0,1.348030," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a}{4 \, b}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a/b","A",0
154,1,134,0,1.357071," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/x,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} a^{3} \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} a^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + \frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a b x + \frac{3}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} + \frac{1}{3} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*a^3*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*a^3*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*b*x + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)","A",0
155,1,140,0,1.344589," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/x^2,x, algorithm=""maxima"")","3 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} a^{2} b \log\left(2 \, b^{2} x + 2 \, a b\right) - 3 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} a^{2} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + \frac{3}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2} x + \frac{9}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a b - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{x}"," ",0,"3*(-1)^(2*b^2*x + 2*a*b)*a^2*b*log(2*b^2*x + 2*a*b) - 3*(-1)^(2*a*b*x + 2*a^2)*a^2*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2*x + 9/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*b - (b^2*x^2 + 2*a*b*x + a^2)^(3/2)/x","A",0
156,1,200,0,1.453717," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/x^3,x, algorithm=""maxima"")","3 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} a b^{2} \log\left(2 \, b^{2} x + 2 \, a b\right) - 3 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} a b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3} x}{2 \, a} + \frac{9}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}}{2 \, a^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b}{2 \, a x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{2 \, a^{2} x^{2}}"," ",0,"3*(-1)^(2*b^2*x + 2*a*b)*a*b^2*log(2*b^2*x + 2*a*b) - 3*(-1)^(2*a*b*x + 2*a^2)*a*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3*x/a + 9/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2 + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2/a^2 - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b/(a*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/(a^2*x^2)","B",0
157,1,229,0,1.421315," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/x^4,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} b^{3} \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} b^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4} x}{2 \, a^{2}} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}}{2 \, a} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{3}}{6 \, a^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}}{2 \, a^{2} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b}{6 \, a^{3} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{3 \, a^{2} x^{3}}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*b^3*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*b^3*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4*x/a^2 + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3/a - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^3/a^3 - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2/(a^2*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b/(a^3*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/(a^2*x^3)","B",0
158,1,138,0,1.558272," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/x^5,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}}{4 \, a^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{3}}{4 \, a^{3} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{2}}{4 \, a^{4} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b}{4 \, a^{3} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{4 \, a^{2} x^{4}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4/a^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^3/(a^3*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^2/(a^4*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b/(a^3*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/(a^2*x^4)","B",0
159,1,167,0,1.571076," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/x^6,x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{5}}{4 \, a^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}}{4 \, a^{4} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{3}}{4 \, a^{5} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{2}}{4 \, a^{4} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b}{4 \, a^{3} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, a^{2} x^{5}}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^5/a^5 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4/(a^4*x) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^3/(a^5*x^2) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^2/(a^4*x^3) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b/(a^3*x^4) - 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/(a^2*x^5)","B",0
160,1,196,0,1.488333," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/x^7,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{6}}{4 \, a^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{5}}{4 \, a^{5} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{4}}{4 \, a^{6} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{3}}{4 \, a^{5} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{2}}{4 \, a^{4} x^{4}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b}{30 \, a^{3} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{6 \, a^{2} x^{6}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^6/a^6 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^5/(a^5*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^4/(a^6*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^3/(a^5*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^2/(a^4*x^4) + 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b/(a^3*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/(a^2*x^6)","A",0
161,1,225,0,1.476594," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/x^8,x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{7}}{4 \, a^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{6}}{4 \, a^{6} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{5}}{4 \, a^{7} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{4}}{4 \, a^{6} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{3}}{4 \, a^{5} x^{4}} - \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{2}}{70 \, a^{4} x^{5}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b}{14 \, a^{3} x^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{7 \, a^{2} x^{7}}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^7/a^7 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^6/(a^6*x) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^5/(a^7*x^2) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^4/(a^6*x^3) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^3/(a^5*x^4) - 17/70*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^2/(a^4*x^5) + 3/14*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b/(a^3*x^6) - 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/(a^2*x^7)","B",0
162,1,254,0,1.541626," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/x^9,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{8}}{4 \, a^{8}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{7}}{4 \, a^{7} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{6}}{4 \, a^{8} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{5}}{4 \, a^{7} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{4}}{4 \, a^{6} x^{4}} + \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{3}}{280 \, a^{5} x^{5}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{2}}{56 \, a^{4} x^{6}} + \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b}{56 \, a^{3} x^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{8 \, a^{2} x^{8}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^8/a^8 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^7/(a^7*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^6/(a^8*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^5/(a^7*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^4/(a^6*x^4) + 69/280*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^3/(a^5*x^5) - 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^2/(a^4*x^6) + 11/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b/(a^3*x^7) - 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/(a^2*x^8)","B",0
163,1,189,0,1.457732," ","integrate(x^5*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{4}}{11 \, b^{2}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{3}}{22 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} x}{6 \, b^{5}} + \frac{31 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{2}}{198 \, b^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6}}{6 \, b^{6}} - \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x}{396 \, b^{5}} + \frac{461 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4}}{2772 \, b^{6}}"," ",0,"1/11*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^4/b^2 - 3/22*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^3/b^3 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*x/b^5 + 31/198*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^2/b^4 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6/b^6 - 65/396*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x/b^5 + 461/2772*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4/b^6","A",0
164,1,160,0,1.399935," ","integrate(x^4*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{10 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{6 \, b^{4}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{90 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{6 \, b^{5}} + \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{180 \, b^{4}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{1260 \, b^{5}}"," ",0,"1/10*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 13/90*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 + 29/180*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 209/1260*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5","A",0
165,1,131,0,1.350486," ","integrate(x^3*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{6 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{6 \, b^{4}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{72 \, b^{3}} + \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{504 \, b^{4}}"," ",0,"-1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 - 11/72*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 83/504*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4","A",0
166,1,102,0,1.382630," ","integrate(x^2*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{6 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{8 \, b^{2}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 + 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 - 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3","A",0
167,1,75,0,1.341176," ","integrate(x*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"-1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","A",0
168,1,46,0,1.436455," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{6 \, b}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b","A",0
169,1,182,0,1.394097," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} a^{5} \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} a^{5} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + \frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} b x + \frac{3}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a b x + \frac{7}{12} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} + \frac{1}{5} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*a^5*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*a^5*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*b*x + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*b*x + 7/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)","A",0
170,1,191,0,1.406213," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^2,x, algorithm=""maxima"")","5 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} a^{4} b \log\left(2 \, b^{2} x + 2 \, a b\right) - 5 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} a^{4} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + \frac{5}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} b^{2} x + \frac{15}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} b + \frac{5}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2} x + \frac{35}{12} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a b - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{x}"," ",0,"5*(-1)^(2*b^2*x + 2*a*b)*a^4*b*log(2*b^2*x + 2*a*b) - 5*(-1)^(2*a*b*x + 2*a^2)*a^4*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 5/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*b^2*x + 15/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*b + 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2*x + 35/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*b - (b^2*x^2 + 2*a*b*x + a^2)^(5/2)/x","A",0
171,1,255,0,1.507063," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^3,x, algorithm=""maxima"")","10 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} a^{3} b^{2} \log\left(2 \, b^{2} x + 2 \, a b\right) - 10 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} a^{3} b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + 5 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a b^{3} x + 15 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} b^{2} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{3} x}{2 \, a} + \frac{35}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{2}}{2 \, a^{2}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b}{2 \, a x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{2 \, a^{2} x^{2}}"," ",0,"10*(-1)^(2*b^2*x + 2*a*b)*a^3*b^2*log(2*b^2*x + 2*a*b) - 10*(-1)^(2*a*b*x + 2*a^2)*a^3*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 5*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*b^3*x + 15*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*b^2 + 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^3*x/a + 35/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2 + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^2/a^2 - 3/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b/(a*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^2)","A",0
172,1,284,0,1.551072," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^4,x, algorithm=""maxima"")","10 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} a^{2} b^{3} \log\left(2 \, b^{2} x + 2 \, a b\right) - 10 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} a^{2} b^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + 5 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4} x + 15 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a b^{3} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4} x}{2 \, a^{2}} + \frac{35 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{3}}{6 \, a} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{3}}{6 \, a^{3}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{2}}{6 \, a^{2} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b}{6 \, a^{3} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{3 \, a^{2} x^{3}}"," ",0,"10*(-1)^(2*b^2*x + 2*a*b)*a^2*b^3*log(2*b^2*x + 2*a*b) - 10*(-1)^(2*a*b*x + 2*a^2)*a^2*b^3*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 5*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4*x + 15*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*b^3 + 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4*x/a^2 + 35/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^3/a + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^3/a^3 - 11/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^2/(a^2*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b/(a^3*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^3)","A",0
173,1,311,0,1.564505," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^5,x, algorithm=""maxima"")","5 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} a b^{4} \log\left(2 \, b^{2} x + 2 \, a b\right) - 5 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} a b^{4} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + \frac{5 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5} x}{2 \, a} + \frac{15}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{5} x}{4 \, a^{3}} + \frac{35 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}}{12 \, a^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{4}}{3 \, a^{4}} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{3}}{3 \, a^{3} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{2}}{3 \, a^{4} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b}{12 \, a^{3} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{4 \, a^{2} x^{4}}"," ",0,"5*(-1)^(2*b^2*x + 2*a*b)*a*b^4*log(2*b^2*x + 2*a*b) - 5*(-1)^(2*a*b*x + 2*a^2)*a*b^4*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 5/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5*x/a + 15/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4 + 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^5*x/a^3 + 35/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4/a^2 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^4/a^4 - 2/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^3/(a^3*x) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^2/(a^4*x^2) + 1/12*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b/(a^3*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^4)","B",0
174,1,340,0,1.578677," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^6,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} b^{5} \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} b^{5} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{6} x}{2 \, a^{2}} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}}{2 \, a} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{6} x}{4 \, a^{4}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{5}}{12 \, a^{3}} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{5}}{15 \, a^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{4}}{3 \, a^{4} x} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{3}}{15 \, a^{5} x^{2}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{2}}{60 \, a^{4} x^{3}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b}{20 \, a^{3} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{5 \, a^{2} x^{5}}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*b^5*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*b^5*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^6*x/a^2 + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5/a + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^6*x/a^4 + 7/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^5/a^3 - 2/15*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^5/a^5 - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^4/(a^4*x) + 2/15*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^3/(a^5*x^2) - 11/60*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^2/(a^4*x^3) + 3/20*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b/(a^3*x^4) - 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^5)","B",0
175,1,196,0,1.576041," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^7,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{6}}{6 \, a^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{5}}{6 \, a^{5} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{4}}{6 \, a^{6} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{3}}{6 \, a^{5} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{2}}{6 \, a^{4} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b}{6 \, a^{3} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{6 \, a^{2} x^{6}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^6/a^6 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^5/(a^5*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^4/(a^6*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^3/(a^5*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^2/(a^4*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b/(a^3*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^6)","B",0
176,1,225,0,1.620866," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^8,x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{7}}{6 \, a^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{6}}{6 \, a^{6} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{5}}{6 \, a^{7} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{4}}{6 \, a^{6} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{3}}{6 \, a^{5} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{2}}{6 \, a^{4} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b}{6 \, a^{3} x^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, a^{2} x^{7}}"," ",0,"-1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^7/a^7 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^6/(a^6*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^5/(a^7*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^4/(a^6*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^3/(a^5*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^2/(a^4*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b/(a^3*x^6) - 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^7)","B",0
177,1,254,0,1.639362," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^9,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{8}}{6 \, a^{8}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{7}}{6 \, a^{7} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{6}}{6 \, a^{8} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{5}}{6 \, a^{7} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{4}}{6 \, a^{6} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{3}}{6 \, a^{5} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{2}}{6 \, a^{4} x^{6}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b}{56 \, a^{3} x^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{8 \, a^{2} x^{8}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^8/a^8 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^7/(a^7*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^6/(a^8*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^5/(a^7*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^4/(a^6*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^3/(a^5*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^2/(a^4*x^6) + 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b/(a^3*x^7) - 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^8)","B",0
178,1,283,0,1.592370," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^10,x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{9}}{6 \, a^{9}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{8}}{6 \, a^{8} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{7}}{6 \, a^{9} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{6}}{6 \, a^{8} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{5}}{6 \, a^{7} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{4}}{6 \, a^{6} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{3}}{6 \, a^{5} x^{6}} - \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{2}}{504 \, a^{4} x^{7}} + \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b}{72 \, a^{3} x^{8}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{9 \, a^{2} x^{9}}"," ",0,"-1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^9/a^9 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^8/(a^8*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^7/(a^9*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^6/(a^8*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^5/(a^7*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^4/(a^6*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^3/(a^5*x^6) - 83/504*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^2/(a^4*x^7) + 11/72*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b/(a^3*x^8) - 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^9)","A",0
179,1,312,0,1.672892," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^11,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{10}}{6 \, a^{10}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{9}}{6 \, a^{9} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{8}}{6 \, a^{10} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{7}}{6 \, a^{9} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{6}}{6 \, a^{8} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{5}}{6 \, a^{7} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{4}}{6 \, a^{6} x^{6}} + \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{3}}{1260 \, a^{5} x^{7}} - \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{2}}{180 \, a^{4} x^{8}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b}{90 \, a^{3} x^{9}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{10 \, a^{2} x^{10}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^10/a^10 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^9/(a^9*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^8/(a^10*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^7/(a^9*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^6/(a^8*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^5/(a^7*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^4/(a^6*x^6) + 209/1260*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^3/(a^5*x^7) - 29/180*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^2/(a^4*x^8) + 13/90*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b/(a^3*x^9) - 1/10*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^10)","B",0
180,1,341,0,1.738888," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/x^12,x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{11}}{6 \, a^{11}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} b^{10}}{6 \, a^{10} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{9}}{6 \, a^{11} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{8}}{6 \, a^{10} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{7}}{6 \, a^{9} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{6}}{6 \, a^{8} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{5}}{6 \, a^{7} x^{6}} - \frac{461 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{4}}{2772 \, a^{6} x^{7}} + \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{3}}{396 \, a^{5} x^{8}} - \frac{31 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b^{2}}{198 \, a^{4} x^{9}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} b}{22 \, a^{3} x^{10}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{11 \, a^{2} x^{11}}"," ",0,"-1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^11/a^11 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*b^10/(a^10*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^9/(a^11*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^8/(a^10*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^7/(a^9*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^6/(a^8*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^5/(a^7*x^6) - 461/2772*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^4/(a^6*x^7) + 65/396*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^3/(a^5*x^8) - 31/198*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b^2/(a^4*x^9) + 3/22*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*b/(a^3*x^10) - 1/11*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/(a^2*x^11)","B",0
181,1,115,0,1.371875," ","integrate(x^4/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} x^{3}}{4 \, b^{2}} + \frac{13 \, a^{2} x^{2}}{12 \, b^{3}} - \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a x^{2}}{12 \, b^{3}} - \frac{13 \, a^{3} x}{6 \, b^{4}} + \frac{a^{4} \log\left(x + \frac{a}{b}\right)}{b^{5}} + \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}}{6 \, b^{5}}"," ",0,"1/4*sqrt(b^2*x^2 + 2*a*b*x + a^2)*x^3/b^2 + 13/12*a^2*x^2/b^3 - 7/12*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*x^2/b^3 - 13/6*a^3*x/b^4 + a^4*log(x + a/b)/b^5 + 7/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3/b^5","A",0
182,1,87,0,1.406650," ","integrate(x^3/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{5 \, a x^{2}}{6 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} x^{2}}{3 \, b^{2}} + \frac{5 \, a^{2} x}{3 \, b^{3}} - \frac{a^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{3 \, b^{4}}"," ",0,"-5/6*a*x^2/b^2 + 1/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*x^2/b^2 + 5/3*a^2*x/b^3 - a^3*log(x + a/b)/b^4 - 2/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^4","A",0
183,1,31,0,1.404078," ","integrate(x^2/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, b} - \frac{a x}{b^{2}} + \frac{a^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}}"," ",0,"1/2*x^2/b - a*x/b^2 + a^2*log(x + a/b)/b^3","A",0
184,1,37,0,1.311756," ","integrate(x/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{a \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}{b^{2}}"," ",0,"-a*log(x + a/b)/b^2 + sqrt(b^2*x^2 + 2*a*b*x + a^2)/b^2","A",0
185,1,12,0,1.329903," ","integrate(1/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(x + \frac{a}{b}\right)}{b}"," ",0,"log(x + a/b)/b","A",0
186,1,38,0,1.316278," ","integrate(1/x/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a","A",0
187,1,65,0,1.321137," ","integrate(1/x^2/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}{a^{2} x}"," ",0,"(-1)^(2*a*b*x + 2*a^2)*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^2 - sqrt(b^2*x^2 + 2*a*b*x + a^2)/(a^2*x)","A",0
188,1,95,0,1.358595," ","integrate(1/x^3/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{3}} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b}{2 \, a^{3} x} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}{2 \, a^{2} x^{2}}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^3 + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b/(a^3*x) - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)/(a^2*x^2)","A",0
189,1,123,0,1.456077," ","integrate(1/x^4/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} b^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{4}} - \frac{11 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}}{6 \, a^{4} x} + \frac{5 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b}{6 \, a^{3} x^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}{3 \, a^{2} x^{3}}"," ",0,"(-1)^(2*a*b*x + 2*a^2)*b^3*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^4 - 11/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2/(a^4*x) + 5/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*b/(a^3*x^2) - 1/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)/(a^2*x^3)","A",0
190,1,131,0,1.321050," ","integrate(x^4/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{x^{3}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{5 \, a x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} + \frac{6 \, a^{2} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{5 \, a^{3}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}} + \frac{12 \, a^{3} x}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{23 \, a^{4}}{2 \, b^{7} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"1/2*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 5/2*a*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) + 6*a^2*log(x + a/b)/b^5 - 5*a^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5) + 12*a^3*x/(b^6*(x + a/b)^2) + 23/2*a^4/(b^7*(x + a/b)^2)","A",0
191,1,101,0,1.308533," ","integrate(x^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{3 \, a \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{2 \, a^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{6 \, a^{2} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, a^{3}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 3*a*log(x + a/b)/b^4 + 2*a^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - 6*a^2*x/(b^5*(x + a/b)^2) - 11/2*a^3/(b^6*(x + a/b)^2)","A",0
192,1,46,0,1.375251," ","integrate(x^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{\log\left(x + \frac{a}{b}\right)}{b^{3}} + \frac{2 \, a x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, a^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"log(x + a/b)/b^3 + 2*a*x/(b^4*(x + a/b)^2) + 3/2*a^2/(b^5*(x + a/b)^2)","A",0
193,1,39,0,1.280572," ","integrate(x/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-1/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 1/2*a/(b^4*(x + a/b)^2)","A",0
194,1,14,0,1.323170," ","integrate(1/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-1/2/(b^3*(x + a/b)^2)","A",0
195,1,78,0,1.320126," ","integrate(1/x/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{3}} + \frac{1}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}} + \frac{1}{2 \, a b^{2} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^3 + 1/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2) + 1/2/(a*b^2*(x + a/b)^2)","A",0
196,1,107,0,1.359226," ","integrate(1/x^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{3 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{4}} - \frac{3 \, b}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}} - \frac{1}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x} - \frac{1}{2 \, a^{2} b {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"3*(-1)^(2*a*b*x + 2*a^2)*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^4 - 3*b/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3) - 1/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x) - 1/2/(a^2*b*(x + a/b)^2)","A",0
197,1,135,0,1.438427," ","integrate(1/x^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{6 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{5}} + \frac{6 \, b^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}} + \frac{5 \, b}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} x} - \frac{1}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x^{2}} + \frac{1}{2 \, a^{3} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-6*(-1)^(2*a*b*x + 2*a^2)*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^5 + 6*b^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4) + 5/2*b/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*x) - 1/2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x^2) + 1/2/(a^3*(x + a/b)^2)","A",0
198,1,126,0,1.572403," ","integrate(x^6/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, b^{6} x^{6} - 12 \, a b^{5} x^{5} - 68 \, a^{2} b^{4} x^{4} - 32 \, a^{3} b^{3} x^{3} + 132 \, a^{4} b^{2} x^{2} + 168 \, a^{5} b x + 57 \, a^{6}}{4 \, {\left(b^{11} x^{4} + 4 \, a b^{10} x^{3} + 6 \, a^{2} b^{9} x^{2} + 4 \, a^{3} b^{8} x + a^{4} b^{7}\right)}} + \frac{15 \, a^{2} \log\left(b x + a\right)}{b^{7}}"," ",0,"1/4*(2*b^6*x^6 - 12*a*b^5*x^5 - 68*a^2*b^4*x^4 - 32*a^3*b^3*x^3 + 132*a^4*b^2*x^2 + 168*a^5*b*x + 57*a^6)/(b^11*x^4 + 4*a*b^10*x^3 + 6*a^2*b^9*x^2 + 4*a^3*b^8*x + a^4*b^7) + 15*a^2*log(b*x + a)/b^7","A",0
199,1,113,0,1.548104," ","integrate(x^5/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{12 \, b^{5} x^{5} + 48 \, a b^{4} x^{4} - 48 \, a^{2} b^{3} x^{3} - 252 \, a^{3} b^{2} x^{2} - 248 \, a^{4} b x - 77 \, a^{5}}{12 \, {\left(b^{10} x^{4} + 4 \, a b^{9} x^{3} + 6 \, a^{2} b^{8} x^{2} + 4 \, a^{3} b^{7} x + a^{4} b^{6}\right)}} - \frac{5 \, a \log\left(b x + a\right)}{b^{6}}"," ",0,"1/12*(12*b^5*x^5 + 48*a*b^4*x^4 - 48*a^2*b^3*x^3 - 252*a^3*b^2*x^2 - 248*a^4*b*x - 77*a^5)/(b^10*x^4 + 4*a*b^9*x^3 + 6*a^2*b^8*x^2 + 4*a^3*b^7*x + a^4*b^6) - 5*a*log(b*x + a)/b^6","A",0
200,1,92,0,1.470816," ","integrate(x^4/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{48 \, a b^{3} x^{3} + 108 \, a^{2} b^{2} x^{2} + 88 \, a^{3} b x + 25 \, a^{4}}{12 \, {\left(b^{9} x^{4} + 4 \, a b^{8} x^{3} + 6 \, a^{2} b^{7} x^{2} + 4 \, a^{3} b^{6} x + a^{4} b^{5}\right)}} + \frac{\log\left(b x + a\right)}{b^{5}}"," ",0,"1/12*(48*a*b^3*x^3 + 108*a^2*b^2*x^2 + 88*a^3*b*x + 25*a^4)/(b^9*x^4 + 4*a*b^8*x^3 + 6*a^2*b^7*x^2 + 4*a^3*b^6*x + a^4*b^5) + log(b*x + a)/b^5","A",0
201,1,102,0,1.361562," ","integrate(x^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{x^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{2 \, a^{2}}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}} - \frac{a}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, a^{2}}{3 \, b^{7} {\left(x + \frac{a}{b}\right)}^{3}} + \frac{a^{3}}{4 \, b^{8} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-x^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 2/3*a^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4) - 1/2*a/(b^6*(x + a/b)^2) + 2/3*a^2/(b^7*(x + a/b)^3) + 1/4*a^3/(b^8*(x + a/b)^4)","B",0
202,1,47,0,1.323841," ","integrate(x^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, a}{3 \, b^{6} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{a^{2}}{4 \, b^{7} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/2/(b^5*(x + a/b)^2) + 2/3*a/(b^6*(x + a/b)^3) - 1/4*a^2/(b^7*(x + a/b)^4)","A",0
203,1,39,0,1.240274," ","integrate(x/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} + \frac{a}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/3/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) + 1/4*a/(b^6*(x + a/b)^4)","A",0
204,1,14,0,1.349551," ","integrate(1/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/4/(b^5*(x + a/b)^4)","A",0
205,1,118,0,1.342733," ","integrate(1/x/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{5}} + \frac{1}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}} + \frac{1}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}} + \frac{1}{2 \, a^{3} b^{2} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{1}{4 \, a b^{4} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^5 + 1/3/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2) + 1/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4) + 1/2/(a^3*b^2*(x + a/b)^2) + 1/4/(a*b^4*(x + a/b)^4)","A",0
206,1,148,0,1.396197," ","integrate(1/x^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{5 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{6}} - \frac{5 \, b}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}} - \frac{5 \, b}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5}} - \frac{1}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x} - \frac{5}{2 \, a^{4} b {\left(x + \frac{a}{b}\right)}^{2}} - \frac{1}{4 \, a^{2} b^{3} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"5*(-1)^(2*a*b*x + 2*a^2)*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^6 - 5/3*b/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3) - 5*b/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5) - 1/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x) - 5/2/(a^4*b*(x + a/b)^2) - 1/4/(a^2*b^3*(x + a/b)^4)","A",0
207,1,178,0,1.380313," ","integrate(1/x^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{15 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{7}} + \frac{5 \, b^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}} + \frac{15 \, b^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{6}} + \frac{7 \, b}{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x} - \frac{1}{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x^{2}} + \frac{15}{2 \, a^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{1}{4 \, a^{3} b^{2} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-15*(-1)^(2*a*b*x + 2*a^2)*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^7 + 5*b^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4) + 15*b^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^6) + 7/2*b/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x) - 1/2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x^2) + 15/2/(a^5*(x + a/b)^2) + 1/4/(a^3*b^2*(x + a/b)^4)","A",0
208,1,44,0,2.854526," ","integrate(x*(4*x^2+12*x+9)^(5/2),x, algorithm=""maxima"")","\frac{1}{28} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{7}{2}} - \frac{1}{4} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}} x - \frac{3}{8} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}}"," ",0,"1/28*(4*x^2 + 12*x + 9)^(7/2) - 1/4*(4*x^2 + 12*x + 9)^(5/2)*x - 3/8*(4*x^2 + 12*x + 9)^(5/2)","A",0
209,1,44,0,2.960243," ","integrate(x*(4*x^2+12*x+9)^(3/2),x, algorithm=""maxima"")","\frac{1}{20} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}} - \frac{3}{8} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}} x - \frac{9}{16} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}}"," ",0,"1/20*(4*x^2 + 12*x + 9)^(5/2) - 3/8*(4*x^2 + 12*x + 9)^(3/2)*x - 9/16*(4*x^2 + 12*x + 9)^(3/2)","A",0
210,1,44,0,2.866599," ","integrate(x*(4*x^2+12*x+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}} - \frac{3}{4} \, \sqrt{4 \, x^{2} + 12 \, x + 9} x - \frac{9}{8} \, \sqrt{4 \, x^{2} + 12 \, x + 9}"," ",0,"1/12*(4*x^2 + 12*x + 9)^(3/2) - 3/4*sqrt(4*x^2 + 12*x + 9)*x - 9/8*sqrt(4*x^2 + 12*x + 9)","A",0
211,1,21,0,2.811615," ","integrate(x/(4*x^2+12*x+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{4 \, x^{2} + 12 \, x + 9} - \frac{3}{4} \, \log\left(x + \frac{3}{2}\right)"," ",0,"1/4*sqrt(4*x^2 + 12*x + 9) - 3/4*log(x + 3/2)","A",0
212,1,24,0,2.994044," ","integrate(x/(4*x^2+12*x+9)^(3/2),x, algorithm=""maxima"")","-\frac{1}{4 \, \sqrt{4 \, x^{2} + 12 \, x + 9}} + \frac{3}{8 \, {\left(2 \, x + 3\right)}^{2}}"," ",0,"-1/4/sqrt(4*x^2 + 12*x + 9) + 3/8/(2*x + 3)^2","A",0
213,1,24,0,2.948892," ","integrate(x/(4*x^2+12*x+9)^(5/2),x, algorithm=""maxima"")","-\frac{1}{12 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}}} + \frac{3}{16 \, {\left(2 \, x + 3\right)}^{4}}"," ",0,"-1/12/(4*x^2 + 12*x + 9)^(3/2) + 3/16/(2*x + 3)^4","A",0
214,1,24,0,3.042460," ","integrate(x/(4*x^2+12*x+9)^(7/2),x, algorithm=""maxima"")","-\frac{1}{20 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}}} + \frac{1}{8 \, {\left(2 \, x + 3\right)}^{6}}"," ",0,"-1/20/(4*x^2 + 12*x + 9)^(5/2) + 1/8/(2*x + 3)^6","A",0
215,1,21,0,2.952214," ","integrate(x/((2+3*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{9 \, x^{2} + 12 \, x + 4} - \frac{2}{9} \, \log\left(x + \frac{2}{3}\right)"," ",0,"1/9*sqrt(9*x^2 + 12*x + 4) - 2/9*log(x + 2/3)","A",0
216,1,21,0,2.943671," ","integrate(x/((-2+3*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{9 \, x^{2} - 12 \, x + 4} + \frac{2}{9} \, \log\left(x - \frac{2}{3}\right)"," ",0,"1/9*sqrt(9*x^2 - 12*x + 4) + 2/9*log(x - 2/3)","A",0
217,1,21,0,2.924764," ","integrate(x/(-(-2+3*x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{-9 \, x^{2} + 12 \, x - 4} + \frac{2}{9} i \, \log\left(x - \frac{2}{3}\right)"," ",0,"-1/9*sqrt(-9*x^2 + 12*x - 4) + 2/9*I*log(x - 2/3)","C",0
218,1,21,0,2.943365," ","integrate(x/(-(2+3*x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{-9 \, x^{2} - 12 \, x - 4} - \frac{2}{9} i \, \log\left(x + \frac{2}{3}\right)"," ",0,"-1/9*sqrt(-9*x^2 - 12*x - 4) - 2/9*I*log(x + 2/3)","C",0
219,1,10,0,1.347309," ","integrate((1+x)/(x^2+2*x),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x^{2} + 2 \, x\right)"," ",0,"1/2*log(x^2 + 2*x)","A",0
220,1,10,0,1.425901," ","integrate((2*b*x+a)/(b*x^2+a*x),x, algorithm=""maxima"")","\log\left(b x^{2} + a x\right)"," ",0,"log(b*x^2 + a*x)","A",0
221,1,99,0,1.335245," ","integrate((e*x+d)^4*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{7} \, c e^{4} x^{7} + \frac{1}{2} \, b d^{4} x^{2} + \frac{1}{6} \, {\left(4 \, c d e^{3} + b e^{4}\right)} x^{6} + \frac{2}{5} \, {\left(3 \, c d^{2} e^{2} + 2 \, b d e^{3}\right)} x^{5} + \frac{1}{2} \, {\left(2 \, c d^{3} e + 3 \, b d^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(c d^{4} + 4 \, b d^{3} e\right)} x^{3}"," ",0,"1/7*c*e^4*x^7 + 1/2*b*d^4*x^2 + 1/6*(4*c*d*e^3 + b*e^4)*x^6 + 2/5*(3*c*d^2*e^2 + 2*b*d*e^3)*x^5 + 1/2*(2*c*d^3*e + 3*b*d^2*e^2)*x^4 + 1/3*(c*d^4 + 4*b*d^3*e)*x^3","A",0
222,1,73,0,1.325096," ","integrate((e*x+d)^3*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{6} \, c e^{3} x^{6} + \frac{1}{2} \, b d^{3} x^{2} + \frac{1}{5} \, {\left(3 \, c d e^{2} + b e^{3}\right)} x^{5} + \frac{3}{4} \, {\left(c d^{2} e + b d e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(c d^{3} + 3 \, b d^{2} e\right)} x^{3}"," ",0,"1/6*c*e^3*x^6 + 1/2*b*d^3*x^2 + 1/5*(3*c*d*e^2 + b*e^3)*x^5 + 3/4*(c*d^2*e + b*d*e^2)*x^4 + 1/3*(c*d^3 + 3*b*d^2*e)*x^3","A",0
223,1,51,0,1.325537," ","integrate((e*x+d)^2*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{5} \, c e^{2} x^{5} + \frac{1}{2} \, b d^{2} x^{2} + \frac{1}{4} \, {\left(2 \, c d e + b e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(c d^{2} + 2 \, b d e\right)} x^{3}"," ",0,"1/5*c*e^2*x^5 + 1/2*b*d^2*x^2 + 1/4*(2*c*d*e + b*e^2)*x^4 + 1/3*(c*d^2 + 2*b*d*e)*x^3","A",0
224,1,27,0,1.364839," ","integrate((e*x+d)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{4} \, c e x^{4} + \frac{1}{2} \, b d x^{2} + \frac{1}{3} \, {\left(c d + b e\right)} x^{3}"," ",0,"1/4*c*e*x^4 + 1/2*b*d*x^2 + 1/3*(c*d + b*e)*x^3","A",0
225,1,13,0,1.370327," ","integrate(c*x^2+b*x,x, algorithm=""maxima"")","\frac{1}{3} \, c x^{3} + \frac{1}{2} \, b x^{2}"," ",0,"1/3*c*x^3 + 1/2*b*x^2","A",0
226,1,45,0,1.367759," ","integrate((c*x^2+b*x)/(e*x+d),x, algorithm=""maxima"")","\frac{c e x^{2} - 2 \, {\left(c d - b e\right)} x}{2 \, e^{2}} + \frac{{\left(c d^{2} - b d e\right)} \log\left(e x + d\right)}{e^{3}}"," ",0,"1/2*(c*e*x^2 - 2*(c*d - b*e)*x)/e^2 + (c*d^2 - b*d*e)*log(e*x + d)/e^3","A",0
227,1,53,0,1.295472," ","integrate((c*x^2+b*x)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c d^{2} - b d e}{e^{4} x + d e^{3}} + \frac{c x}{e^{2}} - \frac{{\left(2 \, c d - b e\right)} \log\left(e x + d\right)}{e^{3}}"," ",0,"-(c*d^2 - b*d*e)/(e^4*x + d*e^3) + c*x/e^2 - (2*c*d - b*e)*log(e*x + d)/e^3","A",0
228,1,65,0,1.413536," ","integrate((c*x^2+b*x)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{3 \, c d^{2} - b d e + 2 \, {\left(2 \, c d e - b e^{2}\right)} x}{2 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)}} + \frac{c \log\left(e x + d\right)}{e^{3}}"," ",0,"1/2*(3*c*d^2 - b*d*e + 2*(2*c*d*e - b*e^2)*x)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) + c*log(e*x + d)/e^3","A",0
229,1,71,0,1.382173," ","integrate((c*x^2+b*x)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{6 \, c e^{2} x^{2} + 2 \, c d^{2} + b d e + 3 \, {\left(2 \, c d e + b e^{2}\right)} x}{6 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}}"," ",0,"-1/6*(6*c*e^2*x^2 + 2*c*d^2 + b*d*e + 3*(2*c*d*e + b*e^2)*x)/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3)","A",0
230,1,80,0,1.385550," ","integrate((c*x^2+b*x)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{6 \, c e^{2} x^{2} + c d^{2} + b d e + 4 \, {\left(c d e + b e^{2}\right)} x}{12 \, {\left(e^{7} x^{4} + 4 \, d e^{6} x^{3} + 6 \, d^{2} e^{5} x^{2} + 4 \, d^{3} e^{4} x + d^{4} e^{3}\right)}}"," ",0,"-1/12*(6*c*e^2*x^2 + c*d^2 + b*d*e + 4*(c*d*e + b*e^2)*x)/(e^7*x^4 + 4*d*e^6*x^3 + 6*d^2*e^5*x^2 + 4*d^3*e^4*x + d^4*e^3)","A",0
231,1,161,0,1.377115," ","integrate((e*x+d)^4*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{9} \, c^{2} e^{4} x^{9} + \frac{1}{3} \, b^{2} d^{4} x^{3} + \frac{1}{4} \, {\left(2 \, c^{2} d e^{3} + b c e^{4}\right)} x^{8} + \frac{1}{7} \, {\left(6 \, c^{2} d^{2} e^{2} + 8 \, b c d e^{3} + b^{2} e^{4}\right)} x^{7} + \frac{2}{3} \, {\left(c^{2} d^{3} e + 3 \, b c d^{2} e^{2} + b^{2} d e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(c^{2} d^{4} + 8 \, b c d^{3} e + 6 \, b^{2} d^{2} e^{2}\right)} x^{5} + \frac{1}{2} \, {\left(b c d^{4} + 2 \, b^{2} d^{3} e\right)} x^{4}"," ",0,"1/9*c^2*e^4*x^9 + 1/3*b^2*d^4*x^3 + 1/4*(2*c^2*d*e^3 + b*c*e^4)*x^8 + 1/7*(6*c^2*d^2*e^2 + 8*b*c*d*e^3 + b^2*e^4)*x^7 + 2/3*(c^2*d^3*e + 3*b*c*d^2*e^2 + b^2*d*e^3)*x^6 + 1/5*(c^2*d^4 + 8*b*c*d^3*e + 6*b^2*d^2*e^2)*x^5 + 1/2*(b*c*d^4 + 2*b^2*d^3*e)*x^4","A",0
232,1,127,0,1.305026," ","integrate((e*x+d)^3*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{8} \, c^{2} e^{3} x^{8} + \frac{1}{3} \, b^{2} d^{3} x^{3} + \frac{1}{7} \, {\left(3 \, c^{2} d e^{2} + 2 \, b c e^{3}\right)} x^{7} + \frac{1}{6} \, {\left(3 \, c^{2} d^{2} e + 6 \, b c d e^{2} + b^{2} e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(c^{2} d^{3} + 6 \, b c d^{2} e + 3 \, b^{2} d e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(2 \, b c d^{3} + 3 \, b^{2} d^{2} e\right)} x^{4}"," ",0,"1/8*c^2*e^3*x^8 + 1/3*b^2*d^3*x^3 + 1/7*(3*c^2*d*e^2 + 2*b*c*e^3)*x^7 + 1/6*(3*c^2*d^2*e + 6*b*c*d*e^2 + b^2*e^3)*x^6 + 1/5*(c^2*d^3 + 6*b*c*d^2*e + 3*b^2*d*e^2)*x^5 + 1/4*(2*b*c*d^3 + 3*b^2*d^2*e)*x^4","A",0
233,1,85,0,1.389876," ","integrate((e*x+d)^2*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{7} \, c^{2} e^{2} x^{7} + \frac{1}{3} \, b^{2} d^{2} x^{3} + \frac{1}{3} \, {\left(c^{2} d e + b c e^{2}\right)} x^{6} + \frac{1}{5} \, {\left(c^{2} d^{2} + 4 \, b c d e + b^{2} e^{2}\right)} x^{5} + \frac{1}{2} \, {\left(b c d^{2} + b^{2} d e\right)} x^{4}"," ",0,"1/7*c^2*e^2*x^7 + 1/3*b^2*d^2*x^3 + 1/3*(c^2*d*e + b*c*e^2)*x^6 + 1/5*(c^2*d^2 + 4*b*c*d*e + b^2*e^2)*x^5 + 1/2*(b*c*d^2 + b^2*d*e)*x^4","A",0
234,1,51,0,1.344897," ","integrate((e*x+d)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{6} \, c^{2} e x^{6} + \frac{1}{3} \, b^{2} d x^{3} + \frac{1}{5} \, {\left(c^{2} d + 2 \, b c e\right)} x^{5} + \frac{1}{4} \, {\left(2 \, b c d + b^{2} e\right)} x^{4}"," ",0,"1/6*c^2*e*x^6 + 1/3*b^2*d*x^3 + 1/5*(c^2*d + 2*b*c*e)*x^5 + 1/4*(2*b*c*d + b^2*e)*x^4","A",0
235,1,24,0,1.301412," ","integrate((c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{5} \, c^{2} x^{5} + \frac{1}{2} \, b c x^{4} + \frac{1}{3} \, b^{2} x^{3}"," ",0,"1/5*c^2*x^5 + 1/2*b*c*x^4 + 1/3*b^2*x^3","A",0
236,1,131,0,1.361686," ","integrate((c*x^2+b*x)^2/(e*x+d),x, algorithm=""maxima"")","\frac{3 \, c^{2} e^{3} x^{4} - 4 \, {\left(c^{2} d e^{2} - 2 \, b c e^{3}\right)} x^{3} + 6 \, {\left(c^{2} d^{2} e - 2 \, b c d e^{2} + b^{2} e^{3}\right)} x^{2} - 12 \, {\left(c^{2} d^{3} - 2 \, b c d^{2} e + b^{2} d e^{2}\right)} x}{12 \, e^{4}} + \frac{{\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/12*(3*c^2*e^3*x^4 - 4*(c^2*d*e^2 - 2*b*c*e^3)*x^3 + 6*(c^2*d^2*e - 2*b*c*d*e^2 + b^2*e^3)*x^2 - 12*(c^2*d^3 - 2*b*c*d^2*e + b^2*d*e^2)*x)/e^4 + (c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2)*log(e*x + d)/e^5","A",0
237,1,138,0,1.366191," ","integrate((c*x^2+b*x)^2/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}}{e^{6} x + d e^{5}} + \frac{c^{2} e^{2} x^{3} - 3 \, {\left(c^{2} d e - b c e^{2}\right)} x^{2} + 3 \, {\left(3 \, c^{2} d^{2} - 4 \, b c d e + b^{2} e^{2}\right)} x}{3 \, e^{4}} - \frac{2 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"-(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2)/(e^6*x + d*e^5) + 1/3*(c^2*e^2*x^3 - 3*(c^2*d*e - b*c*e^2)*x^2 + 3*(3*c^2*d^2 - 4*b*c*d*e + b^2*e^2)*x)/e^4 - 2*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*log(e*x + d)/e^5","A",0
238,1,147,0,1.383835," ","integrate((c*x^2+b*x)^2/(e*x+d)^3,x, algorithm=""maxima"")","\frac{7 \, c^{2} d^{4} - 10 \, b c d^{3} e + 3 \, b^{2} d^{2} e^{2} + 4 \, {\left(2 \, c^{2} d^{3} e - 3 \, b c d^{2} e^{2} + b^{2} d e^{3}\right)} x}{2 \, {\left(e^{7} x^{2} + 2 \, d e^{6} x + d^{2} e^{5}\right)}} + \frac{c^{2} e x^{2} - 2 \, {\left(3 \, c^{2} d - 2 \, b c e\right)} x}{2 \, e^{4}} + \frac{{\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/2*(7*c^2*d^4 - 10*b*c*d^3*e + 3*b^2*d^2*e^2 + 4*(2*c^2*d^3*e - 3*b*c*d^2*e^2 + b^2*d*e^3)*x)/(e^7*x^2 + 2*d*e^6*x + d^2*e^5) + 1/2*(c^2*e*x^2 - 2*(3*c^2*d - 2*b*c*e)*x)/e^4 + (6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*log(e*x + d)/e^5","A",0
239,1,159,0,1.448181," ","integrate((c*x^2+b*x)^2/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{13 \, c^{2} d^{4} - 11 \, b c d^{3} e + b^{2} d^{2} e^{2} + 3 \, {\left(6 \, c^{2} d^{2} e^{2} - 6 \, b c d e^{3} + b^{2} e^{4}\right)} x^{2} + 3 \, {\left(10 \, c^{2} d^{3} e - 9 \, b c d^{2} e^{2} + b^{2} d e^{3}\right)} x}{3 \, {\left(e^{8} x^{3} + 3 \, d e^{7} x^{2} + 3 \, d^{2} e^{6} x + d^{3} e^{5}\right)}} + \frac{c^{2} x}{e^{4}} - \frac{2 \, {\left(2 \, c^{2} d - b c e\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"-1/3*(13*c^2*d^4 - 11*b*c*d^3*e + b^2*d^2*e^2 + 3*(6*c^2*d^2*e^2 - 6*b*c*d*e^3 + b^2*e^4)*x^2 + 3*(10*c^2*d^3*e - 9*b*c*d^2*e^2 + b^2*d*e^3)*x)/(e^8*x^3 + 3*d*e^7*x^2 + 3*d^2*e^6*x + d^3*e^5) + c^2*x/e^4 - 2*(2*c^2*d - b*c*e)*log(e*x + d)/e^5","A",0
240,1,177,0,1.420936," ","integrate((c*x^2+b*x)^2/(e*x+d)^5,x, algorithm=""maxima"")","\frac{25 \, c^{2} d^{4} - 6 \, b c d^{3} e - b^{2} d^{2} e^{2} + 24 \, {\left(2 \, c^{2} d e^{3} - b c e^{4}\right)} x^{3} + 6 \, {\left(18 \, c^{2} d^{2} e^{2} - 6 \, b c d e^{3} - b^{2} e^{4}\right)} x^{2} + 4 \, {\left(22 \, c^{2} d^{3} e - 6 \, b c d^{2} e^{2} - b^{2} d e^{3}\right)} x}{12 \, {\left(e^{9} x^{4} + 4 \, d e^{8} x^{3} + 6 \, d^{2} e^{7} x^{2} + 4 \, d^{3} e^{6} x + d^{4} e^{5}\right)}} + \frac{c^{2} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/12*(25*c^2*d^4 - 6*b*c*d^3*e - b^2*d^2*e^2 + 24*(2*c^2*d*e^3 - b*c*e^4)*x^3 + 6*(18*c^2*d^2*e^2 - 6*b*c*d*e^3 - b^2*e^4)*x^2 + 4*(22*c^2*d^3*e - 6*b*c*d^2*e^2 - b^2*d*e^3)*x)/(e^9*x^4 + 4*d*e^8*x^3 + 6*d^2*e^7*x^2 + 4*d^3*e^6*x + d^4*e^5) + c^2*log(e*x + d)/e^5","A",0
241,1,181,0,1.459782," ","integrate((c*x^2+b*x)^2/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{30 \, c^{2} e^{4} x^{4} + 6 \, c^{2} d^{4} + 3 \, b c d^{3} e + b^{2} d^{2} e^{2} + 30 \, {\left(2 \, c^{2} d e^{3} + b c e^{4}\right)} x^{3} + 10 \, {\left(6 \, c^{2} d^{2} e^{2} + 3 \, b c d e^{3} + b^{2} e^{4}\right)} x^{2} + 5 \, {\left(6 \, c^{2} d^{3} e + 3 \, b c d^{2} e^{2} + b^{2} d e^{3}\right)} x}{30 \, {\left(e^{10} x^{5} + 5 \, d e^{9} x^{4} + 10 \, d^{2} e^{8} x^{3} + 10 \, d^{3} e^{7} x^{2} + 5 \, d^{4} e^{6} x + d^{5} e^{5}\right)}}"," ",0,"-1/30*(30*c^2*e^4*x^4 + 6*c^2*d^4 + 3*b*c*d^3*e + b^2*d^2*e^2 + 30*(2*c^2*d*e^3 + b*c*e^4)*x^3 + 10*(6*c^2*d^2*e^2 + 3*b*c*d*e^3 + b^2*e^4)*x^2 + 5*(6*c^2*d^3*e + 3*b*c*d^2*e^2 + b^2*d*e^3)*x)/(e^10*x^5 + 5*d*e^9*x^4 + 10*d^2*e^8*x^3 + 10*d^3*e^7*x^2 + 5*d^4*e^6*x + d^5*e^5)","A",0
242,1,191,0,1.456897," ","integrate((c*x^2+b*x)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{30 \, c^{2} e^{4} x^{4} + 2 \, c^{2} d^{4} + 2 \, b c d^{3} e + b^{2} d^{2} e^{2} + 40 \, {\left(c^{2} d e^{3} + b c e^{4}\right)} x^{3} + 15 \, {\left(2 \, c^{2} d^{2} e^{2} + 2 \, b c d e^{3} + b^{2} e^{4}\right)} x^{2} + 6 \, {\left(2 \, c^{2} d^{3} e + 2 \, b c d^{2} e^{2} + b^{2} d e^{3}\right)} x}{60 \, {\left(e^{11} x^{6} + 6 \, d e^{10} x^{5} + 15 \, d^{2} e^{9} x^{4} + 20 \, d^{3} e^{8} x^{3} + 15 \, d^{4} e^{7} x^{2} + 6 \, d^{5} e^{6} x + d^{6} e^{5}\right)}}"," ",0,"-1/60*(30*c^2*e^4*x^4 + 2*c^2*d^4 + 2*b*c*d^3*e + b^2*d^2*e^2 + 40*(c^2*d*e^3 + b*c*e^4)*x^3 + 15*(2*c^2*d^2*e^2 + 2*b*c*d*e^3 + b^2*e^4)*x^2 + 6*(2*c^2*d^3*e + 2*b*c*d^2*e^2 + b^2*d*e^3)*x)/(e^11*x^6 + 6*d*e^10*x^5 + 15*d^2*e^9*x^4 + 20*d^3*e^8*x^3 + 15*d^4*e^7*x^2 + 6*d^5*e^6*x + d^6*e^5)","A",0
243,1,207,0,1.486721," ","integrate((c*x^2+b*x)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{70 \, c^{2} e^{4} x^{4} + 2 \, c^{2} d^{4} + 3 \, b c d^{3} e + 2 \, b^{2} d^{2} e^{2} + 35 \, {\left(2 \, c^{2} d e^{3} + 3 \, b c e^{4}\right)} x^{3} + 21 \, {\left(2 \, c^{2} d^{2} e^{2} + 3 \, b c d e^{3} + 2 \, b^{2} e^{4}\right)} x^{2} + 7 \, {\left(2 \, c^{2} d^{3} e + 3 \, b c d^{2} e^{2} + 2 \, b^{2} d e^{3}\right)} x}{210 \, {\left(e^{12} x^{7} + 7 \, d e^{11} x^{6} + 21 \, d^{2} e^{10} x^{5} + 35 \, d^{3} e^{9} x^{4} + 35 \, d^{4} e^{8} x^{3} + 21 \, d^{5} e^{7} x^{2} + 7 \, d^{6} e^{6} x + d^{7} e^{5}\right)}}"," ",0,"-1/210*(70*c^2*e^4*x^4 + 2*c^2*d^4 + 3*b*c*d^3*e + 2*b^2*d^2*e^2 + 35*(2*c^2*d*e^3 + 3*b*c*e^4)*x^3 + 21*(2*c^2*d^2*e^2 + 3*b*c*d*e^3 + 2*b^2*e^4)*x^2 + 7*(2*c^2*d^3*e + 3*b*c*d^2*e^2 + 2*b^2*d*e^3)*x)/(e^12*x^7 + 7*d*e^11*x^6 + 21*d^2*e^10*x^5 + 35*d^3*e^9*x^4 + 35*d^4*e^8*x^3 + 21*d^5*e^7*x^2 + 7*d^6*e^6*x + d^7*e^5)","A",0
244,1,229,0,1.386537," ","integrate((e*x+d)^4*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{11} \, c^{3} e^{4} x^{11} + \frac{1}{4} \, b^{3} d^{4} x^{4} + \frac{1}{10} \, {\left(4 \, c^{3} d e^{3} + 3 \, b c^{2} e^{4}\right)} x^{10} + \frac{1}{3} \, {\left(2 \, c^{3} d^{2} e^{2} + 4 \, b c^{2} d e^{3} + b^{2} c e^{4}\right)} x^{9} + \frac{1}{8} \, {\left(4 \, c^{3} d^{3} e + 18 \, b c^{2} d^{2} e^{2} + 12 \, b^{2} c d e^{3} + b^{3} e^{4}\right)} x^{8} + \frac{1}{7} \, {\left(c^{3} d^{4} + 12 \, b c^{2} d^{3} e + 18 \, b^{2} c d^{2} e^{2} + 4 \, b^{3} d e^{3}\right)} x^{7} + \frac{1}{2} \, {\left(b c^{2} d^{4} + 4 \, b^{2} c d^{3} e + 2 \, b^{3} d^{2} e^{2}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, b^{2} c d^{4} + 4 \, b^{3} d^{3} e\right)} x^{5}"," ",0,"1/11*c^3*e^4*x^11 + 1/4*b^3*d^4*x^4 + 1/10*(4*c^3*d*e^3 + 3*b*c^2*e^4)*x^10 + 1/3*(2*c^3*d^2*e^2 + 4*b*c^2*d*e^3 + b^2*c*e^4)*x^9 + 1/8*(4*c^3*d^3*e + 18*b*c^2*d^2*e^2 + 12*b^2*c*d*e^3 + b^3*e^4)*x^8 + 1/7*(c^3*d^4 + 12*b*c^2*d^3*e + 18*b^2*c*d^2*e^2 + 4*b^3*d*e^3)*x^7 + 1/2*(b*c^2*d^4 + 4*b^2*c*d^3*e + 2*b^3*d^2*e^2)*x^6 + 1/5*(3*b^2*c*d^4 + 4*b^3*d^3*e)*x^5","A",0
245,1,171,0,1.373128," ","integrate((e*x+d)^3*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{10} \, c^{3} e^{3} x^{10} + \frac{1}{4} \, b^{3} d^{3} x^{4} + \frac{1}{3} \, {\left(c^{3} d e^{2} + b c^{2} e^{3}\right)} x^{9} + \frac{3}{8} \, {\left(c^{3} d^{2} e + 3 \, b c^{2} d e^{2} + b^{2} c e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(c^{3} d^{3} + 9 \, b c^{2} d^{2} e + 9 \, b^{2} c d e^{2} + b^{3} e^{3}\right)} x^{7} + \frac{1}{2} \, {\left(b c^{2} d^{3} + 3 \, b^{2} c d^{2} e + b^{3} d e^{2}\right)} x^{6} + \frac{3}{5} \, {\left(b^{2} c d^{3} + b^{3} d^{2} e\right)} x^{5}"," ",0,"1/10*c^3*e^3*x^10 + 1/4*b^3*d^3*x^4 + 1/3*(c^3*d*e^2 + b*c^2*e^3)*x^9 + 3/8*(c^3*d^2*e + 3*b*c^2*d*e^2 + b^2*c*e^3)*x^8 + 1/7*(c^3*d^3 + 9*b*c^2*d^2*e + 9*b^2*c*d*e^2 + b^3*e^3)*x^7 + 1/2*(b*c^2*d^3 + 3*b^2*c*d^2*e + b^3*d*e^2)*x^6 + 3/5*(b^2*c*d^3 + b^3*d^2*e)*x^5","A",0
246,1,127,0,1.350256," ","integrate((e*x+d)^2*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{9} \, c^{3} e^{2} x^{9} + \frac{1}{4} \, b^{3} d^{2} x^{4} + \frac{1}{8} \, {\left(2 \, c^{3} d e + 3 \, b c^{2} e^{2}\right)} x^{8} + \frac{1}{7} \, {\left(c^{3} d^{2} + 6 \, b c^{2} d e + 3 \, b^{2} c e^{2}\right)} x^{7} + \frac{1}{6} \, {\left(3 \, b c^{2} d^{2} + 6 \, b^{2} c d e + b^{3} e^{2}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, b^{2} c d^{2} + 2 \, b^{3} d e\right)} x^{5}"," ",0,"1/9*c^3*e^2*x^9 + 1/4*b^3*d^2*x^4 + 1/8*(2*c^3*d*e + 3*b*c^2*e^2)*x^8 + 1/7*(c^3*d^2 + 6*b*c^2*d*e + 3*b^2*c*e^2)*x^7 + 1/6*(3*b*c^2*d^2 + 6*b^2*c*d*e + b^3*e^2)*x^6 + 1/5*(3*b^2*c*d^2 + 2*b^3*d*e)*x^5","A",0
247,1,73,0,1.379629," ","integrate((e*x+d)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{8} \, c^{3} e x^{8} + \frac{1}{4} \, b^{3} d x^{4} + \frac{1}{7} \, {\left(c^{3} d + 3 \, b c^{2} e\right)} x^{7} + \frac{1}{2} \, {\left(b c^{2} d + b^{2} c e\right)} x^{6} + \frac{1}{5} \, {\left(3 \, b^{2} c d + b^{3} e\right)} x^{5}"," ",0,"1/8*c^3*e*x^8 + 1/4*b^3*d*x^4 + 1/7*(c^3*d + 3*b*c^2*e)*x^7 + 1/2*(b*c^2*d + b^2*c*e)*x^6 + 1/5*(3*b^2*c*d + b^3*e)*x^5","A",0
248,1,35,0,1.397781," ","integrate((c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{7} \, c^{3} x^{7} + \frac{1}{2} \, b c^{2} x^{6} + \frac{3}{5} \, b^{2} c x^{5} + \frac{1}{4} \, b^{3} x^{4}"," ",0,"1/7*c^3*x^7 + 1/2*b*c^2*x^6 + 3/5*b^2*c*x^5 + 1/4*b^3*x^4","A",0
249,1,264,0,1.402453," ","integrate((c*x^2+b*x)^3/(e*x+d),x, algorithm=""maxima"")","\frac{10 \, c^{3} e^{5} x^{6} - 12 \, {\left(c^{3} d e^{4} - 3 \, b c^{2} e^{5}\right)} x^{5} + 15 \, {\left(c^{3} d^{2} e^{3} - 3 \, b c^{2} d e^{4} + 3 \, b^{2} c e^{5}\right)} x^{4} - 20 \, {\left(c^{3} d^{3} e^{2} - 3 \, b c^{2} d^{2} e^{3} + 3 \, b^{2} c d e^{4} - b^{3} e^{5}\right)} x^{3} + 30 \, {\left(c^{3} d^{4} e - 3 \, b c^{2} d^{3} e^{2} + 3 \, b^{2} c d^{2} e^{3} - b^{3} d e^{4}\right)} x^{2} - 60 \, {\left(c^{3} d^{5} - 3 \, b c^{2} d^{4} e + 3 \, b^{2} c d^{3} e^{2} - b^{3} d^{2} e^{3}\right)} x}{60 \, e^{6}} + \frac{{\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/60*(10*c^3*e^5*x^6 - 12*(c^3*d*e^4 - 3*b*c^2*e^5)*x^5 + 15*(c^3*d^2*e^3 - 3*b*c^2*d*e^4 + 3*b^2*c*e^5)*x^4 - 20*(c^3*d^3*e^2 - 3*b*c^2*d^2*e^3 + 3*b^2*c*d*e^4 - b^3*e^5)*x^3 + 30*(c^3*d^4*e - 3*b*c^2*d^3*e^2 + 3*b^2*c*d^2*e^3 - b^3*d*e^4)*x^2 - 60*(c^3*d^5 - 3*b*c^2*d^4*e + 3*b^2*c*d^3*e^2 - b^3*d^2*e^3)*x)/e^6 + (c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3)*log(e*x + d)/e^7","A",0
250,1,273,0,1.391963," ","integrate((c*x^2+b*x)^3/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}}{e^{8} x + d e^{7}} + \frac{4 \, c^{3} e^{4} x^{5} - 5 \, {\left(2 \, c^{3} d e^{3} - 3 \, b c^{2} e^{4}\right)} x^{4} + 20 \, {\left(c^{3} d^{2} e^{2} - 2 \, b c^{2} d e^{3} + b^{2} c e^{4}\right)} x^{3} - 10 \, {\left(4 \, c^{3} d^{3} e - 9 \, b c^{2} d^{2} e^{2} + 6 \, b^{2} c d e^{3} - b^{3} e^{4}\right)} x^{2} + 20 \, {\left(5 \, c^{3} d^{4} - 12 \, b c^{2} d^{3} e + 9 \, b^{2} c d^{2} e^{2} - 2 \, b^{3} d e^{3}\right)} x}{20 \, e^{6}} - \frac{3 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e + 4 \, b^{2} c d^{3} e^{2} - b^{3} d^{2} e^{3}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3)/(e^8*x + d*e^7) + 1/20*(4*c^3*e^4*x^5 - 5*(2*c^3*d*e^3 - 3*b*c^2*e^4)*x^4 + 20*(c^3*d^2*e^2 - 2*b*c^2*d*e^3 + b^2*c*e^4)*x^3 - 10*(4*c^3*d^3*e - 9*b*c^2*d^2*e^2 + 6*b^2*c*d*e^3 - b^3*e^4)*x^2 + 20*(5*c^3*d^4 - 12*b*c^2*d^3*e + 9*b^2*c*d^2*e^2 - 2*b^3*d*e^3)*x)/e^6 - 3*(2*c^3*d^5 - 5*b*c^2*d^4*e + 4*b^2*c*d^3*e^2 - b^3*d^2*e^3)*log(e*x + d)/e^7","A",0
251,1,280,0,1.501057," ","integrate((c*x^2+b*x)^3/(e*x+d)^3,x, algorithm=""maxima"")","\frac{11 \, c^{3} d^{6} - 27 \, b c^{2} d^{5} e + 21 \, b^{2} c d^{4} e^{2} - 5 \, b^{3} d^{3} e^{3} + 6 \, {\left(2 \, c^{3} d^{5} e - 5 \, b c^{2} d^{4} e^{2} + 4 \, b^{2} c d^{3} e^{3} - b^{3} d^{2} e^{4}\right)} x}{2 \, {\left(e^{9} x^{2} + 2 \, d e^{8} x + d^{2} e^{7}\right)}} + \frac{c^{3} e^{3} x^{4} - 4 \, {\left(c^{3} d e^{2} - b c^{2} e^{3}\right)} x^{3} + 6 \, {\left(2 \, c^{3} d^{2} e - 3 \, b c^{2} d e^{2} + b^{2} c e^{3}\right)} x^{2} - 4 \, {\left(10 \, c^{3} d^{3} - 18 \, b c^{2} d^{2} e + 9 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} x}{4 \, e^{6}} + \frac{3 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, b^{2} c d^{2} e^{2} - b^{3} d e^{3}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/2*(11*c^3*d^6 - 27*b*c^2*d^5*e + 21*b^2*c*d^4*e^2 - 5*b^3*d^3*e^3 + 6*(2*c^3*d^5*e - 5*b*c^2*d^4*e^2 + 4*b^2*c*d^3*e^3 - b^3*d^2*e^4)*x)/(e^9*x^2 + 2*d*e^8*x + d^2*e^7) + 1/4*(c^3*e^3*x^4 - 4*(c^3*d*e^2 - b*c^2*e^3)*x^3 + 6*(2*c^3*d^2*e - 3*b*c^2*d*e^2 + b^2*c*e^3)*x^2 - 4*(10*c^3*d^3 - 18*b*c^2*d^2*e + 9*b^2*c*d*e^2 - b^3*e^3)*x)/e^6 + 3*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*b^2*c*d^2*e^2 - b^3*d*e^3)*log(e*x + d)/e^7","A",0
252,1,294,0,1.490485," ","integrate((c*x^2+b*x)^3/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{74 \, c^{3} d^{6} - 141 \, b c^{2} d^{5} e + 78 \, b^{2} c d^{4} e^{2} - 11 \, b^{3} d^{3} e^{3} + 18 \, {\left(5 \, c^{3} d^{4} e^{2} - 10 \, b c^{2} d^{3} e^{3} + 6 \, b^{2} c d^{2} e^{4} - b^{3} d e^{5}\right)} x^{2} + 9 \, {\left(18 \, c^{3} d^{5} e - 35 \, b c^{2} d^{4} e^{2} + 20 \, b^{2} c d^{3} e^{3} - 3 \, b^{3} d^{2} e^{4}\right)} x}{6 \, {\left(e^{10} x^{3} + 3 \, d e^{9} x^{2} + 3 \, d^{2} e^{8} x + d^{3} e^{7}\right)}} + \frac{2 \, c^{3} e^{2} x^{3} - 3 \, {\left(4 \, c^{3} d e - 3 \, b c^{2} e^{2}\right)} x^{2} + 6 \, {\left(10 \, c^{3} d^{2} - 12 \, b c^{2} d e + 3 \, b^{2} c e^{2}\right)} x}{6 \, e^{6}} - \frac{{\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-1/6*(74*c^3*d^6 - 141*b*c^2*d^5*e + 78*b^2*c*d^4*e^2 - 11*b^3*d^3*e^3 + 18*(5*c^3*d^4*e^2 - 10*b*c^2*d^3*e^3 + 6*b^2*c*d^2*e^4 - b^3*d*e^5)*x^2 + 9*(18*c^3*d^5*e - 35*b*c^2*d^4*e^2 + 20*b^2*c*d^3*e^3 - 3*b^3*d^2*e^4)*x)/(e^10*x^3 + 3*d*e^9*x^2 + 3*d^2*e^8*x + d^3*e^7) + 1/6*(2*c^3*e^2*x^3 - 3*(4*c^3*d*e - 3*b*c^2*e^2)*x^2 + 6*(10*c^3*d^2 - 12*b*c^2*d*e + 3*b^2*c*e^2)*x)/e^6 - (20*c^3*d^3 - 30*b*c^2*d^2*e + 12*b^2*c*d*e^2 - b^3*e^3)*log(e*x + d)/e^7","A",0
253,1,303,0,1.529427," ","integrate((c*x^2+b*x)^3/(e*x+d)^5,x, algorithm=""maxima"")","\frac{57 \, c^{3} d^{6} - 77 \, b c^{2} d^{5} e + 25 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3} + 4 \, {\left(20 \, c^{3} d^{3} e^{3} - 30 \, b c^{2} d^{2} e^{4} + 12 \, b^{2} c d e^{5} - b^{3} e^{6}\right)} x^{3} + 6 \, {\left(35 \, c^{3} d^{4} e^{2} - 50 \, b c^{2} d^{3} e^{3} + 18 \, b^{2} c d^{2} e^{4} - b^{3} d e^{5}\right)} x^{2} + 4 \, {\left(47 \, c^{3} d^{5} e - 65 \, b c^{2} d^{4} e^{2} + 22 \, b^{2} c d^{3} e^{3} - b^{3} d^{2} e^{4}\right)} x}{4 \, {\left(e^{11} x^{4} + 4 \, d e^{10} x^{3} + 6 \, d^{2} e^{9} x^{2} + 4 \, d^{3} e^{8} x + d^{4} e^{7}\right)}} + \frac{c^{3} e x^{2} - 2 \, {\left(5 \, c^{3} d - 3 \, b c^{2} e\right)} x}{2 \, e^{6}} + \frac{3 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + b^{2} c e^{2}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/4*(57*c^3*d^6 - 77*b*c^2*d^5*e + 25*b^2*c*d^4*e^2 - b^3*d^3*e^3 + 4*(20*c^3*d^3*e^3 - 30*b*c^2*d^2*e^4 + 12*b^2*c*d*e^5 - b^3*e^6)*x^3 + 6*(35*c^3*d^4*e^2 - 50*b*c^2*d^3*e^3 + 18*b^2*c*d^2*e^4 - b^3*d*e^5)*x^2 + 4*(47*c^3*d^5*e - 65*b*c^2*d^4*e^2 + 22*b^2*c*d^3*e^3 - b^3*d^2*e^4)*x)/(e^11*x^4 + 4*d*e^10*x^3 + 6*d^2*e^9*x^2 + 4*d^3*e^8*x + d^4*e^7) + 1/2*(c^3*e*x^2 - 2*(5*c^3*d - 3*b*c^2*e)*x)/e^6 + 3*(5*c^3*d^2 - 5*b*c^2*d*e + b^2*c*e^2)*log(e*x + d)/e^7","A",0
254,1,311,0,1.515266," ","integrate((c*x^2+b*x)^3/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{174 \, c^{3} d^{6} - 137 \, b c^{2} d^{5} e + 12 \, b^{2} c d^{4} e^{2} + b^{3} d^{3} e^{3} + 60 \, {\left(5 \, c^{3} d^{2} e^{4} - 5 \, b c^{2} d e^{5} + b^{2} c e^{6}\right)} x^{4} + 10 \, {\left(100 \, c^{3} d^{3} e^{3} - 90 \, b c^{2} d^{2} e^{4} + 12 \, b^{2} c d e^{5} + b^{3} e^{6}\right)} x^{3} + 10 \, {\left(130 \, c^{3} d^{4} e^{2} - 110 \, b c^{2} d^{3} e^{3} + 12 \, b^{2} c d^{2} e^{4} + b^{3} d e^{5}\right)} x^{2} + 5 \, {\left(154 \, c^{3} d^{5} e - 125 \, b c^{2} d^{4} e^{2} + 12 \, b^{2} c d^{3} e^{3} + b^{3} d^{2} e^{4}\right)} x}{20 \, {\left(e^{12} x^{5} + 5 \, d e^{11} x^{4} + 10 \, d^{2} e^{10} x^{3} + 10 \, d^{3} e^{9} x^{2} + 5 \, d^{4} e^{8} x + d^{5} e^{7}\right)}} + \frac{c^{3} x}{e^{6}} - \frac{3 \, {\left(2 \, c^{3} d - b c^{2} e\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-1/20*(174*c^3*d^6 - 137*b*c^2*d^5*e + 12*b^2*c*d^4*e^2 + b^3*d^3*e^3 + 60*(5*c^3*d^2*e^4 - 5*b*c^2*d*e^5 + b^2*c*e^6)*x^4 + 10*(100*c^3*d^3*e^3 - 90*b*c^2*d^2*e^4 + 12*b^2*c*d*e^5 + b^3*e^6)*x^3 + 10*(130*c^3*d^4*e^2 - 110*b*c^2*d^3*e^3 + 12*b^2*c*d^2*e^4 + b^3*d*e^5)*x^2 + 5*(154*c^3*d^5*e - 125*b*c^2*d^4*e^2 + 12*b^2*c*d^3*e^3 + b^3*d^2*e^4)*x)/(e^12*x^5 + 5*d*e^11*x^4 + 10*d^2*e^10*x^3 + 10*d^3*e^9*x^2 + 5*d^4*e^8*x + d^5*e^7) + c^3*x/e^6 - 3*(2*c^3*d - b*c^2*e)*log(e*x + d)/e^7","A",0
255,1,331,0,1.533631," ","integrate((c*x^2+b*x)^3/(e*x+d)^7,x, algorithm=""maxima"")","\frac{147 \, c^{3} d^{6} - 30 \, b c^{2} d^{5} e - 6 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3} + 180 \, {\left(2 \, c^{3} d e^{5} - b c^{2} e^{6}\right)} x^{5} + 90 \, {\left(15 \, c^{3} d^{2} e^{4} - 5 \, b c^{2} d e^{5} - b^{2} c e^{6}\right)} x^{4} + 20 \, {\left(110 \, c^{3} d^{3} e^{3} - 30 \, b c^{2} d^{2} e^{4} - 6 \, b^{2} c d e^{5} - b^{3} e^{6}\right)} x^{3} + 15 \, {\left(125 \, c^{3} d^{4} e^{2} - 30 \, b c^{2} d^{3} e^{3} - 6 \, b^{2} c d^{2} e^{4} - b^{3} d e^{5}\right)} x^{2} + 6 \, {\left(137 \, c^{3} d^{5} e - 30 \, b c^{2} d^{4} e^{2} - 6 \, b^{2} c d^{3} e^{3} - b^{3} d^{2} e^{4}\right)} x}{60 \, {\left(e^{13} x^{6} + 6 \, d e^{12} x^{5} + 15 \, d^{2} e^{11} x^{4} + 20 \, d^{3} e^{10} x^{3} + 15 \, d^{4} e^{9} x^{2} + 6 \, d^{5} e^{8} x + d^{6} e^{7}\right)}} + \frac{c^{3} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/60*(147*c^3*d^6 - 30*b*c^2*d^5*e - 6*b^2*c*d^4*e^2 - b^3*d^3*e^3 + 180*(2*c^3*d*e^5 - b*c^2*e^6)*x^5 + 90*(15*c^3*d^2*e^4 - 5*b*c^2*d*e^5 - b^2*c*e^6)*x^4 + 20*(110*c^3*d^3*e^3 - 30*b*c^2*d^2*e^4 - 6*b^2*c*d*e^5 - b^3*e^6)*x^3 + 15*(125*c^3*d^4*e^2 - 30*b*c^2*d^3*e^3 - 6*b^2*c*d^2*e^4 - b^3*d*e^5)*x^2 + 6*(137*c^3*d^5*e - 30*b*c^2*d^4*e^2 - 6*b^2*c*d^3*e^3 - b^3*d^2*e^4)*x)/(e^13*x^6 + 6*d*e^12*x^5 + 15*d^2*e^11*x^4 + 20*d^3*e^10*x^3 + 15*d^4*e^9*x^2 + 6*d^5*e^8*x + d^6*e^7) + c^3*log(e*x + d)/e^7","A",0
256,1,334,0,1.601007," ","integrate((c*x^2+b*x)^3/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{140 \, c^{3} e^{6} x^{6} + 20 \, c^{3} d^{6} + 10 \, b c^{2} d^{5} e + 4 \, b^{2} c d^{4} e^{2} + b^{3} d^{3} e^{3} + 210 \, {\left(2 \, c^{3} d e^{5} + b c^{2} e^{6}\right)} x^{5} + 70 \, {\left(10 \, c^{3} d^{2} e^{4} + 5 \, b c^{2} d e^{5} + 2 \, b^{2} c e^{6}\right)} x^{4} + 35 \, {\left(20 \, c^{3} d^{3} e^{3} + 10 \, b c^{2} d^{2} e^{4} + 4 \, b^{2} c d e^{5} + b^{3} e^{6}\right)} x^{3} + 21 \, {\left(20 \, c^{3} d^{4} e^{2} + 10 \, b c^{2} d^{3} e^{3} + 4 \, b^{2} c d^{2} e^{4} + b^{3} d e^{5}\right)} x^{2} + 7 \, {\left(20 \, c^{3} d^{5} e + 10 \, b c^{2} d^{4} e^{2} + 4 \, b^{2} c d^{3} e^{3} + b^{3} d^{2} e^{4}\right)} x}{140 \, {\left(e^{14} x^{7} + 7 \, d e^{13} x^{6} + 21 \, d^{2} e^{12} x^{5} + 35 \, d^{3} e^{11} x^{4} + 35 \, d^{4} e^{10} x^{3} + 21 \, d^{5} e^{9} x^{2} + 7 \, d^{6} e^{8} x + d^{7} e^{7}\right)}}"," ",0,"-1/140*(140*c^3*e^6*x^6 + 20*c^3*d^6 + 10*b*c^2*d^5*e + 4*b^2*c*d^4*e^2 + b^3*d^3*e^3 + 210*(2*c^3*d*e^5 + b*c^2*e^6)*x^5 + 70*(10*c^3*d^2*e^4 + 5*b*c^2*d*e^5 + 2*b^2*c*e^6)*x^4 + 35*(20*c^3*d^3*e^3 + 10*b*c^2*d^2*e^4 + 4*b^2*c*d*e^5 + b^3*e^6)*x^3 + 21*(20*c^3*d^4*e^2 + 10*b*c^2*d^3*e^3 + 4*b^2*c*d^2*e^4 + b^3*d*e^5)*x^2 + 7*(20*c^3*d^5*e + 10*b*c^2*d^4*e^2 + 4*b^2*c*d^3*e^3 + b^3*d^2*e^4)*x)/(e^14*x^7 + 7*d*e^13*x^6 + 21*d^2*e^12*x^5 + 35*d^3*e^11*x^4 + 35*d^4*e^10*x^3 + 21*d^5*e^9*x^2 + 7*d^6*e^8*x + d^7*e^7)","A",0
257,1,344,0,1.590675," ","integrate((c*x^2+b*x)^3/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{140 \, c^{3} e^{6} x^{6} + 5 \, c^{3} d^{6} + 5 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} + b^{3} d^{3} e^{3} + 280 \, {\left(c^{3} d e^{5} + b c^{2} e^{6}\right)} x^{5} + 70 \, {\left(5 \, c^{3} d^{2} e^{4} + 5 \, b c^{2} d e^{5} + 3 \, b^{2} c e^{6}\right)} x^{4} + 56 \, {\left(5 \, c^{3} d^{3} e^{3} + 5 \, b c^{2} d^{2} e^{4} + 3 \, b^{2} c d e^{5} + b^{3} e^{6}\right)} x^{3} + 28 \, {\left(5 \, c^{3} d^{4} e^{2} + 5 \, b c^{2} d^{3} e^{3} + 3 \, b^{2} c d^{2} e^{4} + b^{3} d e^{5}\right)} x^{2} + 8 \, {\left(5 \, c^{3} d^{5} e + 5 \, b c^{2} d^{4} e^{2} + 3 \, b^{2} c d^{3} e^{3} + b^{3} d^{2} e^{4}\right)} x}{280 \, {\left(e^{15} x^{8} + 8 \, d e^{14} x^{7} + 28 \, d^{2} e^{13} x^{6} + 56 \, d^{3} e^{12} x^{5} + 70 \, d^{4} e^{11} x^{4} + 56 \, d^{5} e^{10} x^{3} + 28 \, d^{6} e^{9} x^{2} + 8 \, d^{7} e^{8} x + d^{8} e^{7}\right)}}"," ",0,"-1/280*(140*c^3*e^6*x^6 + 5*c^3*d^6 + 5*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 + b^3*d^3*e^3 + 280*(c^3*d*e^5 + b*c^2*e^6)*x^5 + 70*(5*c^3*d^2*e^4 + 5*b*c^2*d*e^5 + 3*b^2*c*e^6)*x^4 + 56*(5*c^3*d^3*e^3 + 5*b*c^2*d^2*e^4 + 3*b^2*c*d*e^5 + b^3*e^6)*x^3 + 28*(5*c^3*d^4*e^2 + 5*b*c^2*d^3*e^3 + 3*b^2*c*d^2*e^4 + b^3*d*e^5)*x^2 + 8*(5*c^3*d^5*e + 5*b*c^2*d^4*e^2 + 3*b^2*c*d^3*e^3 + b^3*d^2*e^4)*x)/(e^15*x^8 + 8*d*e^14*x^7 + 28*d^2*e^13*x^6 + 56*d^3*e^12*x^5 + 70*d^4*e^11*x^4 + 56*d^5*e^10*x^3 + 28*d^6*e^9*x^2 + 8*d^7*e^8*x + d^8*e^7)","A",0
258,1,361,0,1.624573," ","integrate((c*x^2+b*x)^3/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{840 \, c^{3} e^{6} x^{6} + 10 \, c^{3} d^{6} + 15 \, b c^{2} d^{5} e + 12 \, b^{2} c d^{4} e^{2} + 5 \, b^{3} d^{3} e^{3} + 630 \, {\left(2 \, c^{3} d e^{5} + 3 \, b c^{2} e^{6}\right)} x^{5} + 126 \, {\left(10 \, c^{3} d^{2} e^{4} + 15 \, b c^{2} d e^{5} + 12 \, b^{2} c e^{6}\right)} x^{4} + 84 \, {\left(10 \, c^{3} d^{3} e^{3} + 15 \, b c^{2} d^{2} e^{4} + 12 \, b^{2} c d e^{5} + 5 \, b^{3} e^{6}\right)} x^{3} + 36 \, {\left(10 \, c^{3} d^{4} e^{2} + 15 \, b c^{2} d^{3} e^{3} + 12 \, b^{2} c d^{2} e^{4} + 5 \, b^{3} d e^{5}\right)} x^{2} + 9 \, {\left(10 \, c^{3} d^{5} e + 15 \, b c^{2} d^{4} e^{2} + 12 \, b^{2} c d^{3} e^{3} + 5 \, b^{3} d^{2} e^{4}\right)} x}{2520 \, {\left(e^{16} x^{9} + 9 \, d e^{15} x^{8} + 36 \, d^{2} e^{14} x^{7} + 84 \, d^{3} e^{13} x^{6} + 126 \, d^{4} e^{12} x^{5} + 126 \, d^{5} e^{11} x^{4} + 84 \, d^{6} e^{10} x^{3} + 36 \, d^{7} e^{9} x^{2} + 9 \, d^{8} e^{8} x + d^{9} e^{7}\right)}}"," ",0,"-1/2520*(840*c^3*e^6*x^6 + 10*c^3*d^6 + 15*b*c^2*d^5*e + 12*b^2*c*d^4*e^2 + 5*b^3*d^3*e^3 + 630*(2*c^3*d*e^5 + 3*b*c^2*e^6)*x^5 + 126*(10*c^3*d^2*e^4 + 15*b*c^2*d*e^5 + 12*b^2*c*e^6)*x^4 + 84*(10*c^3*d^3*e^3 + 15*b*c^2*d^2*e^4 + 12*b^2*c*d*e^5 + 5*b^3*e^6)*x^3 + 36*(10*c^3*d^4*e^2 + 15*b*c^2*d^3*e^3 + 12*b^2*c*d^2*e^4 + 5*b^3*d*e^5)*x^2 + 9*(10*c^3*d^5*e + 15*b*c^2*d^4*e^2 + 12*b^2*c*d^3*e^3 + 5*b^3*d^2*e^4)*x)/(e^16*x^9 + 9*d*e^15*x^8 + 36*d^2*e^14*x^7 + 84*d^3*e^13*x^6 + 126*d^4*e^12*x^5 + 126*d^5*e^11*x^4 + 84*d^6*e^10*x^3 + 36*d^7*e^9*x^2 + 9*d^8*e^8*x + d^9*e^7)","A",0
259,1,142,0,1.408687," ","integrate((e*x+d)^4/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{d^{4} \log\left(x\right)}{b} + \frac{2 \, c^{2} e^{4} x^{3} + 3 \, {\left(4 \, c^{2} d e^{3} - b c e^{4}\right)} x^{2} + 6 \, {\left(6 \, c^{2} d^{2} e^{2} - 4 \, b c d e^{3} + b^{2} e^{4}\right)} x}{6 \, c^{3}} - \frac{{\left(c^{4} d^{4} - 4 \, b c^{3} d^{3} e + 6 \, b^{2} c^{2} d^{2} e^{2} - 4 \, b^{3} c d e^{3} + b^{4} e^{4}\right)} \log\left(c x + b\right)}{b c^{4}}"," ",0,"d^4*log(x)/b + 1/6*(2*c^2*e^4*x^3 + 3*(4*c^2*d*e^3 - b*c*e^4)*x^2 + 6*(6*c^2*d^2*e^2 - 4*b*c*d*e^3 + b^2*e^4)*x)/c^3 - (c^4*d^4 - 4*b*c^3*d^3*e + 6*b^2*c^2*d^2*e^2 - 4*b^3*c*d*e^3 + b^4*e^4)*log(c*x + b)/(b*c^4)","A",0
260,1,91,0,1.348431," ","integrate((e*x+d)^3/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{d^{3} \log\left(x\right)}{b} + \frac{c e^{3} x^{2} + 2 \, {\left(3 \, c d e^{2} - b e^{3}\right)} x}{2 \, c^{2}} - \frac{{\left(c^{3} d^{3} - 3 \, b c^{2} d^{2} e + 3 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} \log\left(c x + b\right)}{b c^{3}}"," ",0,"d^3*log(x)/b + 1/2*(c*e^3*x^2 + 2*(3*c*d*e^2 - b*e^3)*x)/c^2 - (c^3*d^3 - 3*b*c^2*d^2*e + 3*b^2*c*d*e^2 - b^3*e^3)*log(c*x + b)/(b*c^3)","A",0
261,1,53,0,1.335793," ","integrate((e*x+d)^2/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{e^{2} x}{c} + \frac{d^{2} \log\left(x\right)}{b} - \frac{{\left(c^{2} d^{2} - 2 \, b c d e + b^{2} e^{2}\right)} \log\left(c x + b\right)}{b c^{2}}"," ",0,"e^2*x/c + d^2*log(x)/b - (c^2*d^2 - 2*b*c*d*e + b^2*e^2)*log(c*x + b)/(b*c^2)","A",0
262,1,30,0,1.326488," ","integrate((e*x+d)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{d \log\left(x\right)}{b} - \frac{{\left(c d - b e\right)} \log\left(c x + b\right)}{b c}"," ",0,"d*log(x)/b - (c*d - b*e)*log(c*x + b)/(b*c)","A",0
263,1,18,0,1.306508," ","integrate(1/(c*x^2+b*x),x, algorithm=""maxima"")","-\frac{\log\left(c x + b\right)}{b} + \frac{\log\left(x\right)}{b}"," ",0,"-log(c*x + b)/b + log(x)/b","A",0
264,1,53,0,1.389391," ","integrate(1/(e*x+d)/(c*x^2+b*x),x, algorithm=""maxima"")","-\frac{c \log\left(c x + b\right)}{b c d - b^{2} e} + \frac{e \log\left(e x + d\right)}{c d^{2} - b d e} + \frac{\log\left(x\right)}{b d}"," ",0,"-c*log(c*x + b)/(b*c*d - b^2*e) + e*log(e*x + d)/(c*d^2 - b*d*e) + log(x)/(b*d)","A",0
265,1,128,0,1.395505," ","integrate(1/(e*x+d)^2/(c*x^2+b*x),x, algorithm=""maxima"")","-\frac{c^{2} \log\left(c x + b\right)}{b c^{2} d^{2} - 2 \, b^{2} c d e + b^{3} e^{2}} + \frac{{\left(2 \, c d e - b e^{2}\right)} \log\left(e x + d\right)}{c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}} - \frac{e}{c d^{3} - b d^{2} e + {\left(c d^{2} e - b d e^{2}\right)} x} + \frac{\log\left(x\right)}{b d^{2}}"," ",0,"-c^2*log(c*x + b)/(b*c^2*d^2 - 2*b^2*c*d*e + b^3*e^2) + (2*c*d*e - b*e^2)*log(e*x + d)/(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2) - e/(c*d^3 - b*d^2*e + (c*d^2*e - b*d*e^2)*x) + log(x)/(b*d^2)","A",0
266,1,266,0,1.524621," ","integrate(1/(e*x+d)^3/(c*x^2+b*x),x, algorithm=""maxima"")","-\frac{c^{3} \log\left(c x + b\right)}{b c^{3} d^{3} - 3 \, b^{2} c^{2} d^{2} e + 3 \, b^{3} c d e^{2} - b^{4} e^{3}} + \frac{{\left(3 \, c^{2} d^{2} e - 3 \, b c d e^{2} + b^{2} e^{3}\right)} \log\left(e x + d\right)}{c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}} - \frac{5 \, c d^{2} e - 3 \, b d e^{2} + 2 \, {\left(2 \, c d e^{2} - b e^{3}\right)} x}{2 \, {\left(c^{2} d^{6} - 2 \, b c d^{5} e + b^{2} d^{4} e^{2} + {\left(c^{2} d^{4} e^{2} - 2 \, b c d^{3} e^{3} + b^{2} d^{2} e^{4}\right)} x^{2} + 2 \, {\left(c^{2} d^{5} e - 2 \, b c d^{4} e^{2} + b^{2} d^{3} e^{3}\right)} x\right)}} + \frac{\log\left(x\right)}{b d^{3}}"," ",0,"-c^3*log(c*x + b)/(b*c^3*d^3 - 3*b^2*c^2*d^2*e + 3*b^3*c*d*e^2 - b^4*e^3) + (3*c^2*d^2*e - 3*b*c*d*e^2 + b^2*e^3)*log(e*x + d)/(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3) - 1/2*(5*c*d^2*e - 3*b*d*e^2 + 2*(2*c*d*e^2 - b*e^3)*x)/(c^2*d^6 - 2*b*c*d^5*e + b^2*d^4*e^2 + (c^2*d^4*e^2 - 2*b*c*d^3*e^3 + b^2*d^2*e^4)*x^2 + 2*(c^2*d^5*e - 2*b*c*d^4*e^2 + b^2*d^3*e^3)*x) + log(x)/(b*d^3)","B",0
267,1,216,0,1.421550," ","integrate((e*x+d)^5/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{b c^{4} d^{5} + {\left(2 \, c^{5} d^{5} - 5 \, b c^{4} d^{4} e + 10 \, b^{2} c^{3} d^{3} e^{2} - 10 \, b^{3} c^{2} d^{2} e^{3} + 5 \, b^{4} c d e^{4} - b^{5} e^{5}\right)} x}{b^{2} c^{5} x^{2} + b^{3} c^{4} x} - \frac{{\left(2 \, c d^{5} - 5 \, b d^{4} e\right)} \log\left(x\right)}{b^{3}} + \frac{c e^{5} x^{2} + 2 \, {\left(5 \, c d e^{4} - 2 \, b e^{5}\right)} x}{2 \, c^{3}} + \frac{{\left(2 \, c^{5} d^{5} - 5 \, b c^{4} d^{4} e + 10 \, b^{3} c^{2} d^{2} e^{3} - 10 \, b^{4} c d e^{4} + 3 \, b^{5} e^{5}\right)} \log\left(c x + b\right)}{b^{3} c^{4}}"," ",0,"-(b*c^4*d^5 + (2*c^5*d^5 - 5*b*c^4*d^4*e + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*b^4*c*d*e^4 - b^5*e^5)*x)/(b^2*c^5*x^2 + b^3*c^4*x) - (2*c*d^5 - 5*b*d^4*e)*log(x)/b^3 + 1/2*(c*e^5*x^2 + 2*(5*c*d*e^4 - 2*b*e^5)*x)/c^3 + (2*c^5*d^5 - 5*b*c^4*d^4*e + 10*b^3*c^2*d^2*e^3 - 10*b^4*c*d*e^4 + 3*b^5*e^5)*log(c*x + b)/(b^3*c^4)","A",0
268,1,163,0,1.324616," ","integrate((e*x+d)^4/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{e^{4} x}{c^{2}} - \frac{b c^{3} d^{4} + {\left(2 \, c^{4} d^{4} - 4 \, b c^{3} d^{3} e + 6 \, b^{2} c^{2} d^{2} e^{2} - 4 \, b^{3} c d e^{3} + b^{4} e^{4}\right)} x}{b^{2} c^{4} x^{2} + b^{3} c^{3} x} - \frac{2 \, {\left(c d^{4} - 2 \, b d^{3} e\right)} \log\left(x\right)}{b^{3}} + \frac{2 \, {\left(c^{4} d^{4} - 2 \, b c^{3} d^{3} e + 2 \, b^{3} c d e^{3} - b^{4} e^{4}\right)} \log\left(c x + b\right)}{b^{3} c^{3}}"," ",0,"e^4*x/c^2 - (b*c^3*d^4 + (2*c^4*d^4 - 4*b*c^3*d^3*e + 6*b^2*c^2*d^2*e^2 - 4*b^3*c*d*e^3 + b^4*e^4)*x)/(b^2*c^4*x^2 + b^3*c^3*x) - 2*(c*d^4 - 2*b*d^3*e)*log(x)/b^3 + 2*(c^4*d^4 - 2*b*c^3*d^3*e + 2*b^3*c*d*e^3 - b^4*e^4)*log(c*x + b)/(b^3*c^3)","A",0
269,1,132,0,1.370018," ","integrate((e*x+d)^3/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{b c^{2} d^{3} + {\left(2 \, c^{3} d^{3} - 3 \, b c^{2} d^{2} e + 3 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} x}{b^{2} c^{3} x^{2} + b^{3} c^{2} x} - \frac{{\left(2 \, c d^{3} - 3 \, b d^{2} e\right)} \log\left(x\right)}{b^{3}} + \frac{{\left(2 \, c^{3} d^{3} - 3 \, b c^{2} d^{2} e + b^{3} e^{3}\right)} \log\left(c x + b\right)}{b^{3} c^{2}}"," ",0,"-(b*c^2*d^3 + (2*c^3*d^3 - 3*b*c^2*d^2*e + 3*b^2*c*d*e^2 - b^3*e^3)*x)/(b^2*c^3*x^2 + b^3*c^2*x) - (2*c*d^3 - 3*b*d^2*e)*log(x)/b^3 + (2*c^3*d^3 - 3*b*c^2*d^2*e + b^3*e^3)*log(c*x + b)/(b^3*c^2)","A",0
270,1,93,0,1.383219," ","integrate((e*x+d)^2/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{b c d^{2} + {\left(2 \, c^{2} d^{2} - 2 \, b c d e + b^{2} e^{2}\right)} x}{b^{2} c^{2} x^{2} + b^{3} c x} + \frac{2 \, {\left(c d^{2} - b d e\right)} \log\left(c x + b\right)}{b^{3}} - \frac{2 \, {\left(c d^{2} - b d e\right)} \log\left(x\right)}{b^{3}}"," ",0,"-(b*c*d^2 + (2*c^2*d^2 - 2*b*c*d*e + b^2*e^2)*x)/(b^2*c^2*x^2 + b^3*c*x) + 2*(c*d^2 - b*d*e)*log(c*x + b)/b^3 - 2*(c*d^2 - b*d*e)*log(x)/b^3","A",0
271,1,69,0,1.348404," ","integrate((e*x+d)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{b d + {\left(2 \, c d - b e\right)} x}{b^{2} c x^{2} + b^{3} x} + \frac{{\left(2 \, c d - b e\right)} \log\left(c x + b\right)}{b^{3}} - \frac{{\left(2 \, c d - b e\right)} \log\left(x\right)}{b^{3}}"," ",0,"-(b*d + (2*c*d - b*e)*x)/(b^2*c*x^2 + b^3*x) + (2*c*d - b*e)*log(c*x + b)/b^3 - (2*c*d - b*e)*log(x)/b^3","A",0
272,1,45,0,1.280331," ","integrate(1/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{2 \, c x + b}{b^{2} c x^{2} + b^{3} x} + \frac{2 \, c \log\left(c x + b\right)}{b^{3}} - \frac{2 \, c \log\left(x\right)}{b^{3}}"," ",0,"-(2*c*x + b)/(b^2*c*x^2 + b^3*x) + 2*c*log(c*x + b)/b^3 - 2*c*log(x)/b^3","A",0
273,1,177,0,1.476814," ","integrate(1/(e*x+d)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{e^{3} \log\left(e x + d\right)}{c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}} + \frac{{\left(2 \, c^{3} d - 3 \, b c^{2} e\right)} \log\left(c x + b\right)}{b^{3} c^{2} d^{2} - 2 \, b^{4} c d e + b^{5} e^{2}} - \frac{b c d - b^{2} e + {\left(2 \, c^{2} d - b c e\right)} x}{{\left(b^{2} c^{2} d^{2} - b^{3} c d e\right)} x^{2} + {\left(b^{3} c d^{2} - b^{4} d e\right)} x} - \frac{{\left(2 \, c d + b e\right)} \log\left(x\right)}{b^{3} d^{2}}"," ",0,"e^3*log(e*x + d)/(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2) + (2*c^3*d - 3*b*c^2*e)*log(c*x + b)/(b^3*c^2*d^2 - 2*b^4*c*d*e + b^5*e^2) - (b*c*d - b^2*e + (2*c^2*d - b*c*e)*x)/((b^2*c^2*d^2 - b^3*c*d*e)*x^2 + (b^3*c*d^2 - b^4*d*e)*x) - (2*c*d + b*e)*log(x)/(b^3*d^2)","A",0
274,1,373,0,1.516077," ","integrate(1/(e*x+d)^2/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(c^{4} d - 2 \, b c^{3} e\right)} \log\left(c x + b\right)}{b^{3} c^{3} d^{3} - 3 \, b^{4} c^{2} d^{2} e + 3 \, b^{5} c d e^{2} - b^{6} e^{3}} + \frac{2 \, {\left(2 \, c d e^{3} - b e^{4}\right)} \log\left(e x + d\right)}{c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}} - \frac{b c^{2} d^{3} - 2 \, b^{2} c d^{2} e + b^{3} d e^{2} + 2 \, {\left(c^{3} d^{2} e - b c^{2} d e^{2} + b^{2} c e^{3}\right)} x^{2} + {\left(2 \, c^{3} d^{3} - b c^{2} d^{2} e - b^{2} c d e^{2} + 2 \, b^{3} e^{3}\right)} x}{{\left(b^{2} c^{3} d^{4} e - 2 \, b^{3} c^{2} d^{3} e^{2} + b^{4} c d^{2} e^{3}\right)} x^{3} + {\left(b^{2} c^{3} d^{5} - b^{3} c^{2} d^{4} e - b^{4} c d^{3} e^{2} + b^{5} d^{2} e^{3}\right)} x^{2} + {\left(b^{3} c^{2} d^{5} - 2 \, b^{4} c d^{4} e + b^{5} d^{3} e^{2}\right)} x} - \frac{2 \, {\left(c d + b e\right)} \log\left(x\right)}{b^{3} d^{3}}"," ",0,"2*(c^4*d - 2*b*c^3*e)*log(c*x + b)/(b^3*c^3*d^3 - 3*b^4*c^2*d^2*e + 3*b^5*c*d*e^2 - b^6*e^3) + 2*(2*c*d*e^3 - b*e^4)*log(e*x + d)/(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3) - (b*c^2*d^3 - 2*b^2*c*d^2*e + b^3*d*e^2 + 2*(c^3*d^2*e - b*c^2*d*e^2 + b^2*c*e^3)*x^2 + (2*c^3*d^3 - b*c^2*d^2*e - b^2*c*d*e^2 + 2*b^3*e^3)*x)/((b^2*c^3*d^4*e - 2*b^3*c^2*d^3*e^2 + b^4*c*d^2*e^3)*x^3 + (b^2*c^3*d^5 - b^3*c^2*d^4*e - b^4*c*d^3*e^2 + b^5*d^2*e^3)*x^2 + (b^3*c^2*d^5 - 2*b^4*c*d^4*e + b^5*d^3*e^2)*x) - 2*(c*d + b*e)*log(x)/(b^3*d^3)","B",0
275,1,408,0,1.482348," ","integrate((e*x+d)^7/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{b^{3} c^{5} d^{7} - 2 \, {\left(6 \, c^{8} d^{7} - 21 \, b c^{7} d^{6} e + 21 \, b^{2} c^{6} d^{5} e^{2} - 35 \, b^{4} c^{4} d^{3} e^{4} + 42 \, b^{5} c^{3} d^{2} e^{5} - 21 \, b^{6} c^{2} d e^{6} + 4 \, b^{7} c e^{7}\right)} x^{3} - {\left(18 \, b c^{7} d^{7} - 63 \, b^{2} c^{6} d^{6} e + 63 \, b^{3} c^{5} d^{5} e^{2} - 35 \, b^{4} c^{4} d^{4} e^{3} - 35 \, b^{5} c^{3} d^{3} e^{4} + 63 \, b^{6} c^{2} d^{2} e^{5} - 35 \, b^{7} c d e^{6} + 7 \, b^{8} e^{7}\right)} x^{2} - 2 \, {\left(2 \, b^{2} c^{6} d^{7} - 7 \, b^{3} c^{5} d^{6} e\right)} x}{2 \, {\left(b^{4} c^{7} x^{4} + 2 \, b^{5} c^{6} x^{3} + b^{6} c^{5} x^{2}\right)}} + \frac{c e^{7} x^{2} + 2 \, {\left(7 \, c d e^{6} - 3 \, b e^{7}\right)} x}{2 \, c^{4}} + \frac{3 \, {\left(2 \, c^{2} d^{7} - 7 \, b c d^{6} e + 7 \, b^{2} d^{5} e^{2}\right)} \log\left(x\right)}{b^{5}} - \frac{3 \, {\left(2 \, c^{7} d^{7} - 7 \, b c^{6} d^{6} e + 7 \, b^{2} c^{5} d^{5} e^{2} - 7 \, b^{5} c^{2} d^{2} e^{5} + 7 \, b^{6} c d e^{6} - 2 \, b^{7} e^{7}\right)} \log\left(c x + b\right)}{b^{5} c^{5}}"," ",0,"-1/2*(b^3*c^5*d^7 - 2*(6*c^8*d^7 - 21*b*c^7*d^6*e + 21*b^2*c^6*d^5*e^2 - 35*b^4*c^4*d^3*e^4 + 42*b^5*c^3*d^2*e^5 - 21*b^6*c^2*d*e^6 + 4*b^7*c*e^7)*x^3 - (18*b*c^7*d^7 - 63*b^2*c^6*d^6*e + 63*b^3*c^5*d^5*e^2 - 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 63*b^6*c^2*d^2*e^5 - 35*b^7*c*d*e^6 + 7*b^8*e^7)*x^2 - 2*(2*b^2*c^6*d^7 - 7*b^3*c^5*d^6*e)*x)/(b^4*c^7*x^4 + 2*b^5*c^6*x^3 + b^6*c^5*x^2) + 1/2*(c*e^7*x^2 + 2*(7*c*d*e^6 - 3*b*e^7)*x)/c^4 + 3*(2*c^2*d^7 - 7*b*c*d^6*e + 7*b^2*d^5*e^2)*log(x)/b^5 - 3*(2*c^7*d^7 - 7*b*c^6*d^6*e + 7*b^2*c^5*d^5*e^2 - 7*b^5*c^2*d^2*e^5 + 7*b^6*c*d*e^6 - 2*b^7*e^7)*log(c*x + b)/(b^5*c^5)","B",0
276,1,341,0,1.497864," ","integrate((e*x+d)^6/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{e^{6} x}{c^{3}} - \frac{b^{3} c^{4} d^{6} - 6 \, {\left(2 \, c^{7} d^{6} - 6 \, b c^{6} d^{5} e + 5 \, b^{2} c^{5} d^{4} e^{2} - 5 \, b^{4} c^{3} d^{2} e^{4} + 4 \, b^{5} c^{2} d e^{5} - b^{6} c e^{6}\right)} x^{3} - {\left(18 \, b c^{6} d^{6} - 54 \, b^{2} c^{5} d^{5} e + 45 \, b^{3} c^{4} d^{4} e^{2} - 20 \, b^{4} c^{3} d^{3} e^{3} - 15 \, b^{5} c^{2} d^{2} e^{4} + 18 \, b^{6} c d e^{5} - 5 \, b^{7} e^{6}\right)} x^{2} - 4 \, {\left(b^{2} c^{5} d^{6} - 3 \, b^{3} c^{4} d^{5} e\right)} x}{2 \, {\left(b^{4} c^{6} x^{4} + 2 \, b^{5} c^{5} x^{3} + b^{6} c^{4} x^{2}\right)}} + \frac{3 \, {\left(2 \, c^{2} d^{6} - 6 \, b c d^{5} e + 5 \, b^{2} d^{4} e^{2}\right)} \log\left(x\right)}{b^{5}} - \frac{3 \, {\left(2 \, c^{6} d^{6} - 6 \, b c^{5} d^{5} e + 5 \, b^{2} c^{4} d^{4} e^{2} - 2 \, b^{5} c d e^{5} + b^{6} e^{6}\right)} \log\left(c x + b\right)}{b^{5} c^{4}}"," ",0,"e^6*x/c^3 - 1/2*(b^3*c^4*d^6 - 6*(2*c^7*d^6 - 6*b*c^6*d^5*e + 5*b^2*c^5*d^4*e^2 - 5*b^4*c^3*d^2*e^4 + 4*b^5*c^2*d*e^5 - b^6*c*e^6)*x^3 - (18*b*c^6*d^6 - 54*b^2*c^5*d^5*e + 45*b^3*c^4*d^4*e^2 - 20*b^4*c^3*d^3*e^3 - 15*b^5*c^2*d^2*e^4 + 18*b^6*c*d*e^5 - 5*b^7*e^6)*x^2 - 4*(b^2*c^5*d^6 - 3*b^3*c^4*d^5*e)*x)/(b^4*c^6*x^4 + 2*b^5*c^5*x^3 + b^6*c^4*x^2) + 3*(2*c^2*d^6 - 6*b*c*d^5*e + 5*b^2*d^4*e^2)*log(x)/b^5 - 3*(2*c^6*d^6 - 6*b*c^5*d^5*e + 5*b^2*c^4*d^4*e^2 - 2*b^5*c*d*e^5 + b^6*e^6)*log(c*x + b)/(b^5*c^4)","A",0
277,1,296,0,1.457882," ","integrate((e*x+d)^5/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{b^{3} c^{3} d^{5} - 2 \, {\left(6 \, c^{6} d^{5} - 15 \, b c^{5} d^{4} e + 10 \, b^{2} c^{4} d^{3} e^{2} - 5 \, b^{4} c^{2} d e^{4} + 2 \, b^{5} c e^{5}\right)} x^{3} - {\left(18 \, b c^{5} d^{5} - 45 \, b^{2} c^{4} d^{4} e + 30 \, b^{3} c^{3} d^{3} e^{2} - 10 \, b^{4} c^{2} d^{2} e^{3} - 5 \, b^{5} c d e^{4} + 3 \, b^{6} e^{5}\right)} x^{2} - 2 \, {\left(2 \, b^{2} c^{4} d^{5} - 5 \, b^{3} c^{3} d^{4} e\right)} x}{2 \, {\left(b^{4} c^{5} x^{4} + 2 \, b^{5} c^{4} x^{3} + b^{6} c^{3} x^{2}\right)}} + \frac{{\left(6 \, c^{2} d^{5} - 15 \, b c d^{4} e + 10 \, b^{2} d^{3} e^{2}\right)} \log\left(x\right)}{b^{5}} - \frac{{\left(6 \, c^{5} d^{5} - 15 \, b c^{4} d^{4} e + 10 \, b^{2} c^{3} d^{3} e^{2} - b^{5} e^{5}\right)} \log\left(c x + b\right)}{b^{5} c^{3}}"," ",0,"-1/2*(b^3*c^3*d^5 - 2*(6*c^6*d^5 - 15*b*c^5*d^4*e + 10*b^2*c^4*d^3*e^2 - 5*b^4*c^2*d*e^4 + 2*b^5*c*e^5)*x^3 - (18*b*c^5*d^5 - 45*b^2*c^4*d^4*e + 30*b^3*c^3*d^3*e^2 - 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4 + 3*b^6*e^5)*x^2 - 2*(2*b^2*c^4*d^5 - 5*b^3*c^3*d^4*e)*x)/(b^4*c^5*x^4 + 2*b^5*c^4*x^3 + b^6*c^3*x^2) + (6*c^2*d^5 - 15*b*c*d^4*e + 10*b^2*d^3*e^2)*log(x)/b^5 - (6*c^5*d^5 - 15*b*c^4*d^4*e + 10*b^2*c^3*d^3*e^2 - b^5*e^5)*log(c*x + b)/(b^5*c^3)","A",0
278,1,250,0,1.385226," ","integrate((e*x+d)^4/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{b^{3} c^{2} d^{4} - 2 \, {\left(6 \, c^{5} d^{4} - 12 \, b c^{4} d^{3} e + 6 \, b^{2} c^{3} d^{2} e^{2} - b^{4} c e^{4}\right)} x^{3} - {\left(18 \, b c^{4} d^{4} - 36 \, b^{2} c^{3} d^{3} e + 18 \, b^{3} c^{2} d^{2} e^{2} - 4 \, b^{4} c d e^{3} - b^{5} e^{4}\right)} x^{2} - 4 \, {\left(b^{2} c^{3} d^{4} - 2 \, b^{3} c^{2} d^{3} e\right)} x}{2 \, {\left(b^{4} c^{4} x^{4} + 2 \, b^{5} c^{3} x^{3} + b^{6} c^{2} x^{2}\right)}} - \frac{6 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}\right)} \log\left(c x + b\right)}{b^{5}} + \frac{6 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}\right)} \log\left(x\right)}{b^{5}}"," ",0,"-1/2*(b^3*c^2*d^4 - 2*(6*c^5*d^4 - 12*b*c^4*d^3*e + 6*b^2*c^3*d^2*e^2 - b^4*c*e^4)*x^3 - (18*b*c^4*d^4 - 36*b^2*c^3*d^3*e + 18*b^3*c^2*d^2*e^2 - 4*b^4*c*d*e^3 - b^5*e^4)*x^2 - 4*(b^2*c^3*d^4 - 2*b^3*c^2*d^3*e)*x)/(b^4*c^4*x^4 + 2*b^5*c^3*x^3 + b^6*c^2*x^2) - 6*(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2)*log(c*x + b)/b^5 + 6*(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2)*log(x)/b^5","A",0
279,1,217,0,1.385265," ","integrate((e*x+d)^3/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{b^{3} c d^{3} - 6 \, {\left(2 \, c^{4} d^{3} - 3 \, b c^{3} d^{2} e + b^{2} c^{2} d e^{2}\right)} x^{3} - {\left(18 \, b c^{3} d^{3} - 27 \, b^{2} c^{2} d^{2} e + 9 \, b^{3} c d e^{2} - b^{4} e^{3}\right)} x^{2} - 2 \, {\left(2 \, b^{2} c^{2} d^{3} - 3 \, b^{3} c d^{2} e\right)} x}{2 \, {\left(b^{4} c^{3} x^{4} + 2 \, b^{5} c^{2} x^{3} + b^{6} c x^{2}\right)}} - \frac{3 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} \log\left(c x + b\right)}{b^{5}} + \frac{3 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} \log\left(x\right)}{b^{5}}"," ",0,"-1/2*(b^3*c*d^3 - 6*(2*c^4*d^3 - 3*b*c^3*d^2*e + b^2*c^2*d*e^2)*x^3 - (18*b*c^3*d^3 - 27*b^2*c^2*d^2*e + 9*b^3*c*d*e^2 - b^4*e^3)*x^2 - 2*(2*b^2*c^2*d^3 - 3*b^3*c*d^2*e)*x)/(b^4*c^3*x^4 + 2*b^5*c^2*x^3 + b^6*c*x^2) - 3*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*log(c*x + b)/b^5 + 3*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*log(x)/b^5","A",0
280,1,180,0,1.405793," ","integrate((e*x+d)^2/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{b^{3} d^{2} - 2 \, {\left(6 \, c^{3} d^{2} - 6 \, b c^{2} d e + b^{2} c e^{2}\right)} x^{3} - 3 \, {\left(6 \, b c^{2} d^{2} - 6 \, b^{2} c d e + b^{3} e^{2}\right)} x^{2} - 4 \, {\left(b^{2} c d^{2} - b^{3} d e\right)} x}{2 \, {\left(b^{4} c^{2} x^{4} + 2 \, b^{5} c x^{3} + b^{6} x^{2}\right)}} - \frac{{\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} \log\left(c x + b\right)}{b^{5}} + \frac{{\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} \log\left(x\right)}{b^{5}}"," ",0,"-1/2*(b^3*d^2 - 2*(6*c^3*d^2 - 6*b*c^2*d*e + b^2*c*e^2)*x^3 - 3*(6*b*c^2*d^2 - 6*b^2*c*d*e + b^3*e^2)*x^2 - 4*(b^2*c*d^2 - b^3*d*e)*x)/(b^4*c^2*x^4 + 2*b^5*c*x^3 + b^6*x^2) - (6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*log(c*x + b)/b^5 + (6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*log(x)/b^5","A",0
281,1,136,0,1.379857," ","integrate((e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{b^{3} d - 6 \, {\left(2 \, c^{3} d - b c^{2} e\right)} x^{3} - 9 \, {\left(2 \, b c^{2} d - b^{2} c e\right)} x^{2} - 2 \, {\left(2 \, b^{2} c d - b^{3} e\right)} x}{2 \, {\left(b^{4} c^{2} x^{4} + 2 \, b^{5} c x^{3} + b^{6} x^{2}\right)}} - \frac{3 \, {\left(2 \, c^{2} d - b c e\right)} \log\left(c x + b\right)}{b^{5}} + \frac{3 \, {\left(2 \, c^{2} d - b c e\right)} \log\left(x\right)}{b^{5}}"," ",0,"-1/2*(b^3*d - 6*(2*c^3*d - b*c^2*e)*x^3 - 9*(2*b*c^2*d - b^2*c*e)*x^2 - 2*(2*b^2*c*d - b^3*e)*x)/(b^4*c^2*x^4 + 2*b^5*c*x^3 + b^6*x^2) - 3*(2*c^2*d - b*c*e)*log(c*x + b)/b^5 + 3*(2*c^2*d - b*c*e)*log(x)/b^5","A",0
282,1,86,0,1.361953," ","integrate(1/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{12 \, c^{3} x^{3} + 18 \, b c^{2} x^{2} + 4 \, b^{2} c x - b^{3}}{2 \, {\left(b^{4} c^{2} x^{4} + 2 \, b^{5} c x^{3} + b^{6} x^{2}\right)}} - \frac{6 \, c^{2} \log\left(c x + b\right)}{b^{5}} + \frac{6 \, c^{2} \log\left(x\right)}{b^{5}}"," ",0,"1/2*(12*c^3*x^3 + 18*b*c^2*x^2 + 4*b^2*c*x - b^3)/(b^4*c^2*x^4 + 2*b^5*c*x^3 + b^6*x^2) - 6*c^2*log(c*x + b)/b^5 + 6*c^2*log(x)/b^5","A",0
283,1,439,0,1.642579," ","integrate(1/(e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{e^{5} \log\left(e x + d\right)}{c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}} - \frac{{\left(6 \, c^{5} d^{2} - 15 \, b c^{4} d e + 10 \, b^{2} c^{3} e^{2}\right)} \log\left(c x + b\right)}{b^{5} c^{3} d^{3} - 3 \, b^{6} c^{2} d^{2} e + 3 \, b^{7} c d e^{2} - b^{8} e^{3}} - \frac{b^{3} c^{2} d^{3} - 2 \, b^{4} c d^{2} e + b^{5} d e^{2} - 2 \, {\left(6 \, c^{5} d^{3} - 9 \, b c^{4} d^{2} e + b^{2} c^{3} d e^{2} + b^{3} c^{2} e^{3}\right)} x^{3} - {\left(18 \, b c^{4} d^{3} - 27 \, b^{2} c^{3} d^{2} e + 3 \, b^{3} c^{2} d e^{2} + 4 \, b^{4} c e^{3}\right)} x^{2} - 2 \, {\left(2 \, b^{2} c^{3} d^{3} - 3 \, b^{3} c^{2} d^{2} e + b^{5} e^{3}\right)} x}{2 \, {\left({\left(b^{4} c^{4} d^{4} - 2 \, b^{5} c^{3} d^{3} e + b^{6} c^{2} d^{2} e^{2}\right)} x^{4} + 2 \, {\left(b^{5} c^{3} d^{4} - 2 \, b^{6} c^{2} d^{3} e + b^{7} c d^{2} e^{2}\right)} x^{3} + {\left(b^{6} c^{2} d^{4} - 2 \, b^{7} c d^{3} e + b^{8} d^{2} e^{2}\right)} x^{2}\right)}} + \frac{{\left(6 \, c^{2} d^{2} + 3 \, b c d e + b^{2} e^{2}\right)} \log\left(x\right)}{b^{5} d^{3}}"," ",0,"e^5*log(e*x + d)/(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3) - (6*c^5*d^2 - 15*b*c^4*d*e + 10*b^2*c^3*e^2)*log(c*x + b)/(b^5*c^3*d^3 - 3*b^6*c^2*d^2*e + 3*b^7*c*d*e^2 - b^8*e^3) - 1/2*(b^3*c^2*d^3 - 2*b^4*c*d^2*e + b^5*d*e^2 - 2*(6*c^5*d^3 - 9*b*c^4*d^2*e + b^2*c^3*d*e^2 + b^3*c^2*e^3)*x^3 - (18*b*c^4*d^3 - 27*b^2*c^3*d^2*e + 3*b^3*c^2*d*e^2 + 4*b^4*c*e^3)*x^2 - 2*(2*b^2*c^3*d^3 - 3*b^3*c^2*d^2*e + b^5*e^3)*x)/((b^4*c^4*d^4 - 2*b^5*c^3*d^3*e + b^6*c^2*d^2*e^2)*x^4 + 2*(b^5*c^3*d^4 - 2*b^6*c^2*d^3*e + b^7*c*d^2*e^2)*x^3 + (b^6*c^2*d^4 - 2*b^7*c*d^3*e + b^8*d^2*e^2)*x^2) + (6*c^2*d^2 + 3*b*c*d*e + b^2*e^2)*log(x)/(b^5*d^3)","B",0
284,1,752,0,2.016644," ","integrate(1/(e*x+d)^2/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{3 \, {\left(2 \, c^{6} d^{2} - 6 \, b c^{5} d e + 5 \, b^{2} c^{4} e^{2}\right)} \log\left(c x + b\right)}{b^{5} c^{4} d^{4} - 4 \, b^{6} c^{3} d^{3} e + 6 \, b^{7} c^{2} d^{2} e^{2} - 4 \, b^{8} c d e^{3} + b^{9} e^{4}} + \frac{3 \, {\left(2 \, c d e^{5} - b e^{6}\right)} \log\left(e x + d\right)}{c^{4} d^{8} - 4 \, b c^{3} d^{7} e + 6 \, b^{2} c^{2} d^{6} e^{2} - 4 \, b^{3} c d^{5} e^{3} + b^{4} d^{4} e^{4}} - \frac{b^{3} c^{3} d^{5} - 3 \, b^{4} c^{2} d^{4} e + 3 \, b^{5} c d^{3} e^{2} - b^{6} d^{2} e^{3} - 6 \, {\left(2 \, c^{6} d^{4} e - 4 \, b c^{5} d^{3} e^{2} + b^{2} c^{4} d^{2} e^{3} + b^{3} c^{3} d e^{4} - b^{4} c^{2} e^{5}\right)} x^{4} - 3 \, {\left(4 \, c^{6} d^{5} - 2 \, b c^{5} d^{4} e - 10 \, b^{2} c^{4} d^{3} e^{2} + 5 \, b^{3} c^{3} d^{2} e^{3} + 3 \, b^{4} c^{2} d e^{4} - 4 \, b^{5} c e^{5}\right)} x^{3} - {\left(18 \, b c^{5} d^{5} - 32 \, b^{2} c^{4} d^{4} e + b^{3} c^{3} d^{3} e^{2} + 13 \, b^{4} c^{2} d^{2} e^{3} - 6 \, b^{6} e^{5}\right)} x^{2} - {\left(4 \, b^{2} c^{4} d^{5} - 9 \, b^{3} c^{3} d^{4} e + 3 \, b^{4} c^{2} d^{3} e^{2} + 5 \, b^{5} c d^{2} e^{3} - 3 \, b^{6} d e^{4}\right)} x}{2 \, {\left({\left(b^{4} c^{5} d^{6} e - 3 \, b^{5} c^{4} d^{5} e^{2} + 3 \, b^{6} c^{3} d^{4} e^{3} - b^{7} c^{2} d^{3} e^{4}\right)} x^{5} + {\left(b^{4} c^{5} d^{7} - b^{5} c^{4} d^{6} e - 3 \, b^{6} c^{3} d^{5} e^{2} + 5 \, b^{7} c^{2} d^{4} e^{3} - 2 \, b^{8} c d^{3} e^{4}\right)} x^{4} + {\left(2 \, b^{5} c^{4} d^{7} - 5 \, b^{6} c^{3} d^{6} e + 3 \, b^{7} c^{2} d^{5} e^{2} + b^{8} c d^{4} e^{3} - b^{9} d^{3} e^{4}\right)} x^{3} + {\left(b^{6} c^{3} d^{7} - 3 \, b^{7} c^{2} d^{6} e + 3 \, b^{8} c d^{5} e^{2} - b^{9} d^{4} e^{3}\right)} x^{2}\right)}} + \frac{3 \, {\left(2 \, c^{2} d^{2} + 2 \, b c d e + b^{2} e^{2}\right)} \log\left(x\right)}{b^{5} d^{4}}"," ",0,"-3*(2*c^6*d^2 - 6*b*c^5*d*e + 5*b^2*c^4*e^2)*log(c*x + b)/(b^5*c^4*d^4 - 4*b^6*c^3*d^3*e + 6*b^7*c^2*d^2*e^2 - 4*b^8*c*d*e^3 + b^9*e^4) + 3*(2*c*d*e^5 - b*e^6)*log(e*x + d)/(c^4*d^8 - 4*b*c^3*d^7*e + 6*b^2*c^2*d^6*e^2 - 4*b^3*c*d^5*e^3 + b^4*d^4*e^4) - 1/2*(b^3*c^3*d^5 - 3*b^4*c^2*d^4*e + 3*b^5*c*d^3*e^2 - b^6*d^2*e^3 - 6*(2*c^6*d^4*e - 4*b*c^5*d^3*e^2 + b^2*c^4*d^2*e^3 + b^3*c^3*d*e^4 - b^4*c^2*e^5)*x^4 - 3*(4*c^6*d^5 - 2*b*c^5*d^4*e - 10*b^2*c^4*d^3*e^2 + 5*b^3*c^3*d^2*e^3 + 3*b^4*c^2*d*e^4 - 4*b^5*c*e^5)*x^3 - (18*b*c^5*d^5 - 32*b^2*c^4*d^4*e + b^3*c^3*d^3*e^2 + 13*b^4*c^2*d^2*e^3 - 6*b^6*e^5)*x^2 - (4*b^2*c^4*d^5 - 9*b^3*c^3*d^4*e + 3*b^4*c^2*d^3*e^2 + 5*b^5*c*d^2*e^3 - 3*b^6*d*e^4)*x)/((b^4*c^5*d^6*e - 3*b^5*c^4*d^5*e^2 + 3*b^6*c^3*d^4*e^3 - b^7*c^2*d^3*e^4)*x^5 + (b^4*c^5*d^7 - b^5*c^4*d^6*e - 3*b^6*c^3*d^5*e^2 + 5*b^7*c^2*d^4*e^3 - 2*b^8*c*d^3*e^4)*x^4 + (2*b^5*c^4*d^7 - 5*b^6*c^3*d^6*e + 3*b^7*c^2*d^5*e^2 + b^8*c*d^4*e^3 - b^9*d^3*e^4)*x^3 + (b^6*c^3*d^7 - 3*b^7*c^2*d^6*e + 3*b^8*c*d^5*e^2 - b^9*d^4*e^3)*x^2) + 3*(2*c^2*d^2 + 2*b*c*d*e + b^2*e^2)*log(x)/(b^5*d^4)","B",0
285,1,439,0,1.464904," ","integrate((e*x+d)^3*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} e^{3} x^{2}}{5 \, c} + \frac{1}{2} \, \sqrt{c x^{2} + b x} d^{3} x - \frac{3 \, \sqrt{c x^{2} + b x} b d^{2} e x}{4 \, c} + \frac{15 \, \sqrt{c x^{2} + b x} b^{2} d e^{2} x}{32 \, c^{2}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} d e^{2} x}{4 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} b^{3} e^{3} x}{64 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b e^{3} x}{40 \, c^{2}} - \frac{b^{2} d^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{3}{2}}} + \frac{3 \, b^{3} d^{2} e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{5}{2}}} - \frac{15 \, b^{4} d e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{7}{2}}} + \frac{7 \, b^{5} e^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{9}{2}}} + \frac{\sqrt{c x^{2} + b x} b d^{3}}{4 \, c} - \frac{3 \, \sqrt{c x^{2} + b x} b^{2} d^{2} e}{8 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} d^{2} e}{c} + \frac{15 \, \sqrt{c x^{2} + b x} b^{3} d e^{2}}{64 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b d e^{2}}{8 \, c^{2}} - \frac{7 \, \sqrt{c x^{2} + b x} b^{4} e^{3}}{128 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} e^{3}}{48 \, c^{3}}"," ",0,"1/5*(c*x^2 + b*x)^(3/2)*e^3*x^2/c + 1/2*sqrt(c*x^2 + b*x)*d^3*x - 3/4*sqrt(c*x^2 + b*x)*b*d^2*e*x/c + 15/32*sqrt(c*x^2 + b*x)*b^2*d*e^2*x/c^2 + 3/4*(c*x^2 + b*x)^(3/2)*d*e^2*x/c - 7/64*sqrt(c*x^2 + b*x)*b^3*e^3*x/c^3 - 7/40*(c*x^2 + b*x)^(3/2)*b*e^3*x/c^2 - 1/8*b^2*d^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 3/16*b^3*d^2*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 15/128*b^4*d*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 7/256*b^5*e^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) + 1/4*sqrt(c*x^2 + b*x)*b*d^3/c - 3/8*sqrt(c*x^2 + b*x)*b^2*d^2*e/c^2 + (c*x^2 + b*x)^(3/2)*d^2*e/c + 15/64*sqrt(c*x^2 + b*x)*b^3*d*e^2/c^3 - 5/8*(c*x^2 + b*x)^(3/2)*b*d*e^2/c^2 - 7/128*sqrt(c*x^2 + b*x)*b^4*e^3/c^4 + 7/48*(c*x^2 + b*x)^(3/2)*b^2*e^3/c^3","B",0
286,1,283,0,1.403109," ","integrate((e*x+d)^2*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + b x} d^{2} x - \frac{\sqrt{c x^{2} + b x} b d e x}{2 \, c} + \frac{5 \, \sqrt{c x^{2} + b x} b^{2} e^{2} x}{32 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} e^{2} x}{4 \, c} - \frac{b^{2} d^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{3}{2}}} + \frac{b^{3} d e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{5}{2}}} - \frac{5 \, b^{4} e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{7}{2}}} + \frac{\sqrt{c x^{2} + b x} b d^{2}}{4 \, c} - \frac{\sqrt{c x^{2} + b x} b^{2} d e}{4 \, c^{2}} + \frac{2 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} d e}{3 \, c} + \frac{5 \, \sqrt{c x^{2} + b x} b^{3} e^{2}}{64 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b e^{2}}{24 \, c^{2}}"," ",0,"1/2*sqrt(c*x^2 + b*x)*d^2*x - 1/2*sqrt(c*x^2 + b*x)*b*d*e*x/c + 5/32*sqrt(c*x^2 + b*x)*b^2*e^2*x/c^2 + 1/4*(c*x^2 + b*x)^(3/2)*e^2*x/c - 1/8*b^2*d^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 1/8*b^3*d*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 5/128*b^4*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 1/4*sqrt(c*x^2 + b*x)*b*d^2/c - 1/4*sqrt(c*x^2 + b*x)*b^2*d*e/c^2 + 2/3*(c*x^2 + b*x)^(3/2)*d*e/c + 5/64*sqrt(c*x^2 + b*x)*b^3*e^2/c^3 - 5/24*(c*x^2 + b*x)^(3/2)*b*e^2/c^2","A",0
287,1,154,0,1.368662," ","integrate((e*x+d)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + b x} d x - \frac{\sqrt{c x^{2} + b x} b e x}{4 \, c} - \frac{b^{2} d \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{3}{2}}} + \frac{b^{3} e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{5}{2}}} + \frac{\sqrt{c x^{2} + b x} b d}{4 \, c} - \frac{\sqrt{c x^{2} + b x} b^{2} e}{8 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} e}{3 \, c}"," ",0,"1/2*sqrt(c*x^2 + b*x)*d*x - 1/4*sqrt(c*x^2 + b*x)*b*e*x/c - 1/8*b^2*d*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 1/16*b^3*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 1/4*sqrt(c*x^2 + b*x)*b*d/c - 1/8*sqrt(c*x^2 + b*x)*b^2*e/c^2 + 1/3*(c*x^2 + b*x)^(3/2)*e/c","A",0
288,1,63,0,1.365480," ","integrate((c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + b x} x - \frac{b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{3}{2}}} + \frac{\sqrt{c x^{2} + b x} b}{4 \, c}"," ",0,"1/2*sqrt(c*x^2 + b*x)*x - 1/8*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 1/4*sqrt(c*x^2 + b*x)*b/c","A",0
289,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
290,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
291,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
292,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
293,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
294,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
295,1,624,0,1.477631," ","integrate((e*x+d)^3*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} e^{3} x^{2}}{7 \, c} + \frac{1}{4} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} d^{3} x - \frac{3 \, \sqrt{c x^{2} + b x} b^{2} d^{3} x}{32 \, c} + \frac{9 \, \sqrt{c x^{2} + b x} b^{3} d^{2} e x}{64 \, c^{2}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b d^{2} e x}{8 \, c} - \frac{21 \, \sqrt{c x^{2} + b x} b^{4} d e^{2} x}{256 \, c^{3}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} d e^{2} x}{32 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} d e^{2} x}{2 \, c} + \frac{9 \, \sqrt{c x^{2} + b x} b^{5} e^{3} x}{512 \, c^{4}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} e^{3} x}{64 \, c^{3}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b e^{3} x}{28 \, c^{2}} + \frac{3 \, b^{4} d^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{5}{2}}} - \frac{9 \, b^{5} d^{2} e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{7}{2}}} + \frac{21 \, b^{6} d e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{9}{2}}} - \frac{9 \, b^{7} e^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2048 \, c^{\frac{11}{2}}} - \frac{3 \, \sqrt{c x^{2} + b x} b^{3} d^{3}}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b d^{3}}{8 \, c} + \frac{9 \, \sqrt{c x^{2} + b x} b^{4} d^{2} e}{128 \, c^{3}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} d^{2} e}{16 \, c^{2}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} d^{2} e}{5 \, c} - \frac{21 \, \sqrt{c x^{2} + b x} b^{5} d e^{2}}{512 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} d e^{2}}{64 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b d e^{2}}{20 \, c^{2}} + \frac{9 \, \sqrt{c x^{2} + b x} b^{6} e^{3}}{1024 \, c^{5}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4} e^{3}}{128 \, c^{4}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2} e^{3}}{40 \, c^{3}}"," ",0,"1/7*(c*x^2 + b*x)^(5/2)*e^3*x^2/c + 1/4*(c*x^2 + b*x)^(3/2)*d^3*x - 3/32*sqrt(c*x^2 + b*x)*b^2*d^3*x/c + 9/64*sqrt(c*x^2 + b*x)*b^3*d^2*e*x/c^2 - 3/8*(c*x^2 + b*x)^(3/2)*b*d^2*e*x/c - 21/256*sqrt(c*x^2 + b*x)*b^4*d*e^2*x/c^3 + 7/32*(c*x^2 + b*x)^(3/2)*b^2*d*e^2*x/c^2 + 1/2*(c*x^2 + b*x)^(5/2)*d*e^2*x/c + 9/512*sqrt(c*x^2 + b*x)*b^5*e^3*x/c^4 - 3/64*(c*x^2 + b*x)^(3/2)*b^3*e^3*x/c^3 - 3/28*(c*x^2 + b*x)^(5/2)*b*e^3*x/c^2 + 3/128*b^4*d^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 9/256*b^5*d^2*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 21/1024*b^6*d*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 9/2048*b^7*e^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) - 3/64*sqrt(c*x^2 + b*x)*b^3*d^3/c^2 + 1/8*(c*x^2 + b*x)^(3/2)*b*d^3/c + 9/128*sqrt(c*x^2 + b*x)*b^4*d^2*e/c^3 - 3/16*(c*x^2 + b*x)^(3/2)*b^2*d^2*e/c^2 + 3/5*(c*x^2 + b*x)^(5/2)*d^2*e/c - 21/512*sqrt(c*x^2 + b*x)*b^5*d*e^2/c^4 + 7/64*(c*x^2 + b*x)^(3/2)*b^3*d*e^2/c^3 - 7/20*(c*x^2 + b*x)^(5/2)*b*d*e^2/c^2 + 9/1024*sqrt(c*x^2 + b*x)*b^6*e^3/c^5 - 3/128*(c*x^2 + b*x)^(3/2)*b^4*e^3/c^4 + 3/40*(c*x^2 + b*x)^(5/2)*b^2*e^3/c^3","B",0
296,1,416,0,1.566066," ","integrate((e*x+d)^2*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} d^{2} x - \frac{3 \, \sqrt{c x^{2} + b x} b^{2} d^{2} x}{32 \, c} + \frac{3 \, \sqrt{c x^{2} + b x} b^{3} d e x}{32 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b d e x}{4 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} b^{4} e^{2} x}{256 \, c^{3}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} e^{2} x}{96 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} e^{2} x}{6 \, c} + \frac{3 \, b^{4} d^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{5}{2}}} - \frac{3 \, b^{5} d e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{7}{2}}} + \frac{7 \, b^{6} e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{9}{2}}} - \frac{3 \, \sqrt{c x^{2} + b x} b^{3} d^{2}}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b d^{2}}{8 \, c} + \frac{3 \, \sqrt{c x^{2} + b x} b^{4} d e}{64 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} d e}{8 \, c^{2}} + \frac{2 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} d e}{5 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} b^{5} e^{2}}{512 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} e^{2}}{192 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b e^{2}}{60 \, c^{2}}"," ",0,"1/4*(c*x^2 + b*x)^(3/2)*d^2*x - 3/32*sqrt(c*x^2 + b*x)*b^2*d^2*x/c + 3/32*sqrt(c*x^2 + b*x)*b^3*d*e*x/c^2 - 1/4*(c*x^2 + b*x)^(3/2)*b*d*e*x/c - 7/256*sqrt(c*x^2 + b*x)*b^4*e^2*x/c^3 + 7/96*(c*x^2 + b*x)^(3/2)*b^2*e^2*x/c^2 + 1/6*(c*x^2 + b*x)^(5/2)*e^2*x/c + 3/128*b^4*d^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 3/128*b^5*d*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 7/1024*b^6*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 3/64*sqrt(c*x^2 + b*x)*b^3*d^2/c^2 + 1/8*(c*x^2 + b*x)^(3/2)*b*d^2/c + 3/64*sqrt(c*x^2 + b*x)*b^4*d*e/c^3 - 1/8*(c*x^2 + b*x)^(3/2)*b^2*d*e/c^2 + 2/5*(c*x^2 + b*x)^(5/2)*d*e/c - 7/512*sqrt(c*x^2 + b*x)*b^5*e^2/c^4 + 7/192*(c*x^2 + b*x)^(3/2)*b^3*e^2/c^3 - 7/60*(c*x^2 + b*x)^(5/2)*b*e^2/c^2","B",0
297,1,236,0,1.405366," ","integrate((e*x+d)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} d x - \frac{3 \, \sqrt{c x^{2} + b x} b^{2} d x}{32 \, c} + \frac{3 \, \sqrt{c x^{2} + b x} b^{3} e x}{64 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b e x}{8 \, c} + \frac{3 \, b^{4} d \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{5}{2}}} - \frac{3 \, b^{5} e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{7}{2}}} - \frac{3 \, \sqrt{c x^{2} + b x} b^{3} d}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b d}{8 \, c} + \frac{3 \, \sqrt{c x^{2} + b x} b^{4} e}{128 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} e}{16 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} e}{5 \, c}"," ",0,"1/4*(c*x^2 + b*x)^(3/2)*d*x - 3/32*sqrt(c*x^2 + b*x)*b^2*d*x/c + 3/64*sqrt(c*x^2 + b*x)*b^3*e*x/c^2 - 1/8*(c*x^2 + b*x)^(3/2)*b*e*x/c + 3/128*b^4*d*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 3/256*b^5*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 3/64*sqrt(c*x^2 + b*x)*b^3*d/c^2 + 1/8*(c*x^2 + b*x)^(3/2)*b*d/c + 3/128*sqrt(c*x^2 + b*x)*b^4*e/c^3 - 1/16*(c*x^2 + b*x)^(3/2)*b^2*e/c^2 + 1/5*(c*x^2 + b*x)^(5/2)*e/c","B",0
298,1,102,0,1.333163," ","integrate((c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} x - \frac{3 \, \sqrt{c x^{2} + b x} b^{2} x}{32 \, c} + \frac{3 \, b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{5}{2}}} - \frac{3 \, \sqrt{c x^{2} + b x} b^{3}}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b}{8 \, c}"," ",0,"1/4*(c*x^2 + b*x)^(3/2)*x - 3/32*sqrt(c*x^2 + b*x)*b^2*x/c + 3/128*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 3/64*sqrt(c*x^2 + b*x)*b^3/c^2 + 1/8*(c*x^2 + b*x)^(3/2)*b/c","A",0
299,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
300,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
301,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
302,1,808,0,1.555603," ","integrate((e*x+d)^3*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} e^{3} x^{2}}{9 \, c} + \frac{1}{6} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} d^{3} x + \frac{5 \, \sqrt{c x^{2} + b x} b^{4} d^{3} x}{256 \, c^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} d^{3} x}{96 \, c} - \frac{15 \, \sqrt{c x^{2} + b x} b^{5} d^{2} e x}{512 \, c^{3}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} d^{2} e x}{64 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b d^{2} e x}{4 \, c} + \frac{135 \, \sqrt{c x^{2} + b x} b^{6} d e^{2} x}{8192 \, c^{4}} - \frac{45 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4} d e^{2} x}{1024 \, c^{3}} + \frac{9 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2} d e^{2} x}{64 \, c^{2}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} d e^{2} x}{8 \, c} - \frac{55 \, \sqrt{c x^{2} + b x} b^{7} e^{3} x}{16384 \, c^{5}} + \frac{55 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{5} e^{3} x}{6144 \, c^{4}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{3} e^{3} x}{384 \, c^{3}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} b e^{3} x}{144 \, c^{2}} - \frac{5 \, b^{6} d^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{7}{2}}} + \frac{15 \, b^{7} d^{2} e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2048 \, c^{\frac{9}{2}}} - \frac{135 \, b^{8} d e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{32768 \, c^{\frac{11}{2}}} + \frac{55 \, b^{9} e^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{65536 \, c^{\frac{13}{2}}} + \frac{5 \, \sqrt{c x^{2} + b x} b^{5} d^{3}}{512 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} d^{3}}{192 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b d^{3}}{12 \, c} - \frac{15 \, \sqrt{c x^{2} + b x} b^{6} d^{2} e}{1024 \, c^{4}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4} d^{2} e}{128 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2} d^{2} e}{8 \, c^{2}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} d^{2} e}{7 \, c} + \frac{135 \, \sqrt{c x^{2} + b x} b^{7} d e^{2}}{16384 \, c^{5}} - \frac{45 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{5} d e^{2}}{2048 \, c^{4}} + \frac{9 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{3} d e^{2}}{128 \, c^{3}} - \frac{27 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} b d e^{2}}{112 \, c^{2}} - \frac{55 \, \sqrt{c x^{2} + b x} b^{8} e^{3}}{32768 \, c^{6}} + \frac{55 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{6} e^{3}}{12288 \, c^{5}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{4} e^{3}}{768 \, c^{4}} + \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} b^{2} e^{3}}{224 \, c^{3}}"," ",0,"1/9*(c*x^2 + b*x)^(7/2)*e^3*x^2/c + 1/6*(c*x^2 + b*x)^(5/2)*d^3*x + 5/256*sqrt(c*x^2 + b*x)*b^4*d^3*x/c^2 - 5/96*(c*x^2 + b*x)^(3/2)*b^2*d^3*x/c - 15/512*sqrt(c*x^2 + b*x)*b^5*d^2*e*x/c^3 + 5/64*(c*x^2 + b*x)^(3/2)*b^3*d^2*e*x/c^2 - 1/4*(c*x^2 + b*x)^(5/2)*b*d^2*e*x/c + 135/8192*sqrt(c*x^2 + b*x)*b^6*d*e^2*x/c^4 - 45/1024*(c*x^2 + b*x)^(3/2)*b^4*d*e^2*x/c^3 + 9/64*(c*x^2 + b*x)^(5/2)*b^2*d*e^2*x/c^2 + 3/8*(c*x^2 + b*x)^(7/2)*d*e^2*x/c - 55/16384*sqrt(c*x^2 + b*x)*b^7*e^3*x/c^5 + 55/6144*(c*x^2 + b*x)^(3/2)*b^5*e^3*x/c^4 - 11/384*(c*x^2 + b*x)^(5/2)*b^3*e^3*x/c^3 - 11/144*(c*x^2 + b*x)^(7/2)*b*e^3*x/c^2 - 5/1024*b^6*d^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 15/2048*b^7*d^2*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 135/32768*b^8*d*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) + 55/65536*b^9*e^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(13/2) + 5/512*sqrt(c*x^2 + b*x)*b^5*d^3/c^3 - 5/192*(c*x^2 + b*x)^(3/2)*b^3*d^3/c^2 + 1/12*(c*x^2 + b*x)^(5/2)*b*d^3/c - 15/1024*sqrt(c*x^2 + b*x)*b^6*d^2*e/c^4 + 5/128*(c*x^2 + b*x)^(3/2)*b^4*d^2*e/c^3 - 1/8*(c*x^2 + b*x)^(5/2)*b^2*d^2*e/c^2 + 3/7*(c*x^2 + b*x)^(7/2)*d^2*e/c + 135/16384*sqrt(c*x^2 + b*x)*b^7*d*e^2/c^5 - 45/2048*(c*x^2 + b*x)^(3/2)*b^5*d*e^2/c^4 + 9/128*(c*x^2 + b*x)^(5/2)*b^3*d*e^2/c^3 - 27/112*(c*x^2 + b*x)^(7/2)*b*d*e^2/c^2 - 55/32768*sqrt(c*x^2 + b*x)*b^8*e^3/c^6 + 55/12288*(c*x^2 + b*x)^(3/2)*b^6*e^3/c^5 - 11/768*(c*x^2 + b*x)^(5/2)*b^4*e^3/c^4 + 11/224*(c*x^2 + b*x)^(7/2)*b^2*e^3/c^3","B",0
303,1,549,0,1.504182," ","integrate((e*x+d)^2*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} d^{2} x + \frac{5 \, \sqrt{c x^{2} + b x} b^{4} d^{2} x}{256 \, c^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} d^{2} x}{96 \, c} - \frac{5 \, \sqrt{c x^{2} + b x} b^{5} d e x}{256 \, c^{3}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} d e x}{96 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b d e x}{6 \, c} + \frac{45 \, \sqrt{c x^{2} + b x} b^{6} e^{2} x}{8192 \, c^{4}} - \frac{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4} e^{2} x}{1024 \, c^{3}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2} e^{2} x}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} e^{2} x}{8 \, c} - \frac{5 \, b^{6} d^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{7}{2}}} + \frac{5 \, b^{7} d e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{9}{2}}} - \frac{45 \, b^{8} e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{32768 \, c^{\frac{11}{2}}} + \frac{5 \, \sqrt{c x^{2} + b x} b^{5} d^{2}}{512 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} d^{2}}{192 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b d^{2}}{12 \, c} - \frac{5 \, \sqrt{c x^{2} + b x} b^{6} d e}{512 \, c^{4}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4} d e}{192 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2} d e}{12 \, c^{2}} + \frac{2 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} d e}{7 \, c} + \frac{45 \, \sqrt{c x^{2} + b x} b^{7} e^{2}}{16384 \, c^{5}} - \frac{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{5} e^{2}}{2048 \, c^{4}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{3} e^{2}}{128 \, c^{3}} - \frac{9 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} b e^{2}}{112 \, c^{2}}"," ",0,"1/6*(c*x^2 + b*x)^(5/2)*d^2*x + 5/256*sqrt(c*x^2 + b*x)*b^4*d^2*x/c^2 - 5/96*(c*x^2 + b*x)^(3/2)*b^2*d^2*x/c - 5/256*sqrt(c*x^2 + b*x)*b^5*d*e*x/c^3 + 5/96*(c*x^2 + b*x)^(3/2)*b^3*d*e*x/c^2 - 1/6*(c*x^2 + b*x)^(5/2)*b*d*e*x/c + 45/8192*sqrt(c*x^2 + b*x)*b^6*e^2*x/c^4 - 15/1024*(c*x^2 + b*x)^(3/2)*b^4*e^2*x/c^3 + 3/64*(c*x^2 + b*x)^(5/2)*b^2*e^2*x/c^2 + 1/8*(c*x^2 + b*x)^(7/2)*e^2*x/c - 5/1024*b^6*d^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 5/1024*b^7*d*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 45/32768*b^8*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) + 5/512*sqrt(c*x^2 + b*x)*b^5*d^2/c^3 - 5/192*(c*x^2 + b*x)^(3/2)*b^3*d^2/c^2 + 1/12*(c*x^2 + b*x)^(5/2)*b*d^2/c - 5/512*sqrt(c*x^2 + b*x)*b^6*d*e/c^4 + 5/192*(c*x^2 + b*x)^(3/2)*b^4*d*e/c^3 - 1/12*(c*x^2 + b*x)^(5/2)*b^2*d*e/c^2 + 2/7*(c*x^2 + b*x)^(7/2)*d*e/c + 45/16384*sqrt(c*x^2 + b*x)*b^7*e^2/c^5 - 15/2048*(c*x^2 + b*x)^(3/2)*b^5*e^2/c^4 + 3/128*(c*x^2 + b*x)^(5/2)*b^3*e^2/c^3 - 9/112*(c*x^2 + b*x)^(7/2)*b*e^2/c^2","B",0
304,1,318,0,1.445168," ","integrate((e*x+d)*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} d x + \frac{5 \, \sqrt{c x^{2} + b x} b^{4} d x}{256 \, c^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} d x}{96 \, c} - \frac{5 \, \sqrt{c x^{2} + b x} b^{5} e x}{512 \, c^{3}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} e x}{192 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b e x}{12 \, c} - \frac{5 \, b^{6} d \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{7}{2}}} + \frac{5 \, b^{7} e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2048 \, c^{\frac{9}{2}}} + \frac{5 \, \sqrt{c x^{2} + b x} b^{5} d}{512 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} d}{192 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b d}{12 \, c} - \frac{5 \, \sqrt{c x^{2} + b x} b^{6} e}{1024 \, c^{4}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4} e}{384 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2} e}{24 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} e}{7 \, c}"," ",0,"1/6*(c*x^2 + b*x)^(5/2)*d*x + 5/256*sqrt(c*x^2 + b*x)*b^4*d*x/c^2 - 5/96*(c*x^2 + b*x)^(3/2)*b^2*d*x/c - 5/512*sqrt(c*x^2 + b*x)*b^5*e*x/c^3 + 5/192*(c*x^2 + b*x)^(3/2)*b^3*e*x/c^2 - 1/12*(c*x^2 + b*x)^(5/2)*b*e*x/c - 5/1024*b^6*d*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 5/2048*b^7*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) + 5/512*sqrt(c*x^2 + b*x)*b^5*d/c^3 - 5/192*(c*x^2 + b*x)^(3/2)*b^3*d/c^2 + 1/12*(c*x^2 + b*x)^(5/2)*b*d/c - 5/1024*sqrt(c*x^2 + b*x)*b^6*e/c^4 + 5/384*(c*x^2 + b*x)^(3/2)*b^4*e/c^3 - 1/24*(c*x^2 + b*x)^(5/2)*b^2*e/c^2 + 1/7*(c*x^2 + b*x)^(7/2)*e/c","B",0
305,1,141,0,1.378274," ","integrate((c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} x + \frac{5 \, \sqrt{c x^{2} + b x} b^{4} x}{256 \, c^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} x}{96 \, c} - \frac{5 \, b^{6} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{7}{2}}} + \frac{5 \, \sqrt{c x^{2} + b x} b^{5}}{512 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}}{192 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} b}{12 \, c}"," ",0,"1/6*(c*x^2 + b*x)^(5/2)*x + 5/256*sqrt(c*x^2 + b*x)*b^4*x/c^2 - 5/96*(c*x^2 + b*x)^(3/2)*b^2*x/c - 5/1024*b^6*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 5/512*sqrt(c*x^2 + b*x)*b^5/c^3 - 5/192*(c*x^2 + b*x)^(3/2)*b^3/c^2 + 1/12*(c*x^2 + b*x)^(5/2)*b/c","A",0
306,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
307,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
308,-2,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
309,1,17,0,3.017836," ","integrate((x^2+2*x)^(1/2)/(1+x),x, algorithm=""maxima"")","\sqrt{x^{2} + 2 \, x} + \arcsin\left(\frac{1}{{\left| x + 1 \right|}}\right)"," ",0,"sqrt(x^2 + 2*x) + arcsin(1/abs(x + 1))","A",0
310,1,58,0,2.999605," ","integrate((-x^2+2*x)^(3/2)/(2-2*x),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(-x^{2} + 2 \, x\right)}^{\frac{3}{2}} - \frac{1}{2} \, \sqrt{-x^{2} + 2 \, x} + \frac{1}{2} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 2 \, x}}{{\left| x - 1 \right|}} + \frac{2}{{\left| x - 1 \right|}}\right)"," ",0,"-1/6*(-x^2 + 2*x)^(3/2) - 1/2*sqrt(-x^2 + 2*x) + 1/2*log(2*sqrt(-x^2 + 2*x)/abs(x - 1) + 2/abs(x - 1))","A",0
311,1,45,0,2.989564," ","integrate((-x^2+2*x)^(1/2)/(2-2*x),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-x^{2} + 2 \, x} + \frac{1}{2} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 2 \, x}}{{\left| x - 1 \right|}} + \frac{2}{{\left| x - 1 \right|}}\right)"," ",0,"-1/2*sqrt(-x^2 + 2*x) + 1/2*log(2*sqrt(-x^2 + 2*x)/abs(x - 1) + 2/abs(x - 1))","A",0
312,1,31,0,1.319805," ","integrate(1/(2-2*x)/(-x^2+2*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 2 \, x}}{{\left| x - 1 \right|}} + \frac{2}{{\left| x - 1 \right|}}\right)"," ",0,"1/2*log(2*sqrt(-x^2 + 2*x)/abs(x - 1) + 2/abs(x - 1))","B",0
313,1,45,0,1.357175," ","integrate(1/(2-2*x)/(-x^2+2*x)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2 \, \sqrt{-x^{2} + 2 \, x}} + \frac{1}{2} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 2 \, x}}{{\left| x - 1 \right|}} + \frac{2}{{\left| x - 1 \right|}}\right)"," ",0,"-1/2/sqrt(-x^2 + 2*x) + 1/2*log(2*sqrt(-x^2 + 2*x)/abs(x - 1) + 2/abs(x - 1))","A",0
314,1,58,0,1.317262," ","integrate(1/(2-2*x)/(-x^2+2*x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{2 \, \sqrt{-x^{2} + 2 \, x}} - \frac{1}{6 \, {\left(-x^{2} + 2 \, x\right)}^{\frac{3}{2}}} + \frac{1}{2} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 2 \, x}}{{\left| x - 1 \right|}} + \frac{2}{{\left| x - 1 \right|}}\right)"," ",0,"-1/2/sqrt(-x^2 + 2*x) - 1/6/(-x^2 + 2*x)^(3/2) + 1/2*log(2*sqrt(-x^2 + 2*x)/abs(x - 1) + 2/abs(x - 1))","A",0
315,1,260,0,1.375283," ","integrate((e*x+d)^3/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} e^{3} x^{2}}{3 \, c} + \frac{3 \, \sqrt{c x^{2} + b x} d e^{2} x}{2 \, c} - \frac{5 \, \sqrt{c x^{2} + b x} b e^{3} x}{12 \, c^{2}} + \frac{d^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}} - \frac{3 \, b d^{2} e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{3}{2}}} + \frac{9 \, b^{2} d e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{5}{2}}} - \frac{5 \, b^{3} e^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{7}{2}}} + \frac{3 \, \sqrt{c x^{2} + b x} d^{2} e}{c} - \frac{9 \, \sqrt{c x^{2} + b x} b d e^{2}}{4 \, c^{2}} + \frac{5 \, \sqrt{c x^{2} + b x} b^{2} e^{3}}{8 \, c^{3}}"," ",0,"1/3*sqrt(c*x^2 + b*x)*e^3*x^2/c + 3/2*sqrt(c*x^2 + b*x)*d*e^2*x/c - 5/12*sqrt(c*x^2 + b*x)*b*e^3*x/c^2 + d^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) - 3/2*b*d^2*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 9/8*b^2*d*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 5/16*b^3*e^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 3*sqrt(c*x^2 + b*x)*d^2*e/c - 9/4*sqrt(c*x^2 + b*x)*b*d*e^2/c^2 + 5/8*sqrt(c*x^2 + b*x)*b^2*e^3/c^3","A",0
316,1,154,0,1.380020," ","integrate((e*x+d)^2/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} e^{2} x}{2 \, c} + \frac{d^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}} - \frac{b d e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{3}{2}}} + \frac{3 \, b^{2} e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{5}{2}}} + \frac{2 \, \sqrt{c x^{2} + b x} d e}{c} - \frac{3 \, \sqrt{c x^{2} + b x} b e^{2}}{4 \, c^{2}}"," ",0,"1/2*sqrt(c*x^2 + b*x)*e^2*x/c + d^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) - b*d*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 3/8*b^2*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 2*sqrt(c*x^2 + b*x)*d*e/c - 3/4*sqrt(c*x^2 + b*x)*b*e^2/c^2","A",0
317,1,75,0,1.292633," ","integrate((e*x+d)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{d \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}} - \frac{b e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{3}{2}}} + \frac{\sqrt{c x^{2} + b x} e}{c}"," ",0,"d*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) - 1/2*b*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + sqrt(c*x^2 + b*x)*e/c","A",0
318,1,27,0,1.363490," ","integrate(1/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}}"," ",0,"log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c)","A",0
319,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive, negative or zero?","F(-2)",0
320,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive, negative or zero?","F(-2)",0
321,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive, negative or zero?","F(-2)",0
322,1,189,0,1.363699," ","integrate((e*x+d)^3/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{e^{3} x^{2}}{\sqrt{c x^{2} + b x} c} - \frac{4 \, c d^{3} x}{\sqrt{c x^{2} + b x} b^{2}} + \frac{6 \, d^{2} e x}{\sqrt{c x^{2} + b x} b} - \frac{6 \, d e^{2} x}{\sqrt{c x^{2} + b x} c} + \frac{3 \, b e^{3} x}{\sqrt{c x^{2} + b x} c^{2}} + \frac{3 \, d e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{3}{2}}} - \frac{3 \, b e^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{5}{2}}} - \frac{2 \, d^{3}}{\sqrt{c x^{2} + b x} b}"," ",0,"e^3*x^2/(sqrt(c*x^2 + b*x)*c) - 4*c*d^3*x/(sqrt(c*x^2 + b*x)*b^2) + 6*d^2*e*x/(sqrt(c*x^2 + b*x)*b) - 6*d*e^2*x/(sqrt(c*x^2 + b*x)*c) + 3*b*e^3*x/(sqrt(c*x^2 + b*x)*c^2) + 3*d*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) - 3/2*b*e^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 2*d^3/(sqrt(c*x^2 + b*x)*b)","A",0
323,1,110,0,1.325261," ","integrate((e*x+d)^2/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, c d^{2} x}{\sqrt{c x^{2} + b x} b^{2}} + \frac{4 \, d e x}{\sqrt{c x^{2} + b x} b} - \frac{2 \, e^{2} x}{\sqrt{c x^{2} + b x} c} + \frac{e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{3}{2}}} - \frac{2 \, d^{2}}{\sqrt{c x^{2} + b x} b}"," ",0,"-4*c*d^2*x/(sqrt(c*x^2 + b*x)*b^2) + 4*d*e*x/(sqrt(c*x^2 + b*x)*b) - 2*e^2*x/(sqrt(c*x^2 + b*x)*c) + e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) - 2*d^2/(sqrt(c*x^2 + b*x)*b)","A",0
324,1,55,0,1.330882," ","integrate((e*x+d)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, c d x}{\sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, e x}{\sqrt{c x^{2} + b x} b} - \frac{2 \, d}{\sqrt{c x^{2} + b x} b}"," ",0,"-4*c*d*x/(sqrt(c*x^2 + b*x)*b^2) + 2*e*x/(sqrt(c*x^2 + b*x)*b) - 2*d/(sqrt(c*x^2 + b*x)*b)","A",0
325,1,35,0,1.312513," ","integrate(1/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, c x}{\sqrt{c x^{2} + b x} b^{2}} - \frac{2}{\sqrt{c x^{2} + b x} b}"," ",0,"-4*c*x/(sqrt(c*x^2 + b*x)*b^2) - 2/(sqrt(c*x^2 + b*x)*b)","A",0
326,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive, negative or zero?","F(-2)",0
327,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive, negative or zero?","F(-2)",0
328,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive, negative or zero?","F(-2)",0
329,1,458,0,1.503245," ","integrate((e*x+d)^4/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, e^{4} x {\left(\frac{3 \, x^{2}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} + \frac{b x}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c^{2}} - \frac{2 \, x}{\sqrt{c x^{2} + b x} b c} - \frac{1}{\sqrt{c x^{2} + b x} c^{2}}\right)} - \frac{4 \, d e^{3} x^{2}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{4 \, c d^{4} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, c^{2} d^{4} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{8 \, d^{3} e x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{64 \, c d^{3} e x}{3 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{8 \, d^{2} e^{2} x}{\sqrt{c x^{2} + b x} b^{2}} - \frac{4 \, d^{2} e^{2} x}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{4 \, b d e^{3} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c^{2}} + \frac{8 \, d e^{3} x}{3 \, \sqrt{c x^{2} + b x} b c} - \frac{4 \, e^{4} x}{3 \, \sqrt{c x^{2} + b x} c^{2}} + \frac{e^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{5}{2}}} - \frac{2 \, d^{4}}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, c d^{4}}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{32 \, d^{3} e}{3 \, \sqrt{c x^{2} + b x} b^{2}} + \frac{4 \, d^{2} e^{2}}{\sqrt{c x^{2} + b x} b c} + \frac{4 \, d e^{3}}{3 \, \sqrt{c x^{2} + b x} c^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} e^{4}}{3 \, b c^{2}}"," ",0,"-1/3*e^4*x*(3*x^2/((c*x^2 + b*x)^(3/2)*c) + b*x/((c*x^2 + b*x)^(3/2)*c^2) - 2*x/(sqrt(c*x^2 + b*x)*b*c) - 1/(sqrt(c*x^2 + b*x)*c^2)) - 4*d*e^3*x^2/((c*x^2 + b*x)^(3/2)*c) - 4/3*c*d^4*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*c^2*d^4*x/(sqrt(c*x^2 + b*x)*b^4) + 8/3*d^3*e*x/((c*x^2 + b*x)^(3/2)*b) - 64/3*c*d^3*e*x/(sqrt(c*x^2 + b*x)*b^3) + 8*d^2*e^2*x/(sqrt(c*x^2 + b*x)*b^2) - 4*d^2*e^2*x/((c*x^2 + b*x)^(3/2)*c) - 4/3*b*d*e^3*x/((c*x^2 + b*x)^(3/2)*c^2) + 8/3*d*e^3*x/(sqrt(c*x^2 + b*x)*b*c) - 4/3*e^4*x/(sqrt(c*x^2 + b*x)*c^2) + e^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 2/3*d^4/((c*x^2 + b*x)^(3/2)*b) + 16/3*c*d^4/(sqrt(c*x^2 + b*x)*b^3) - 32/3*d^3*e/(sqrt(c*x^2 + b*x)*b^2) + 4*d^2*e^2/(sqrt(c*x^2 + b*x)*b*c) + 4/3*d*e^3/(sqrt(c*x^2 + b*x)*c^2) - 2/3*sqrt(c*x^2 + b*x)*e^4/(b*c^2)","B",0
330,1,297,0,1.385950," ","integrate((e*x+d)^3/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{e^{3} x^{2}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{4 \, c d^{3} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, c^{2} d^{3} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{2 \, d^{2} e x}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{16 \, c d^{2} e x}{\sqrt{c x^{2} + b x} b^{3}} + \frac{4 \, d e^{2} x}{\sqrt{c x^{2} + b x} b^{2}} - \frac{2 \, d e^{2} x}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{b e^{3} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c^{2}} + \frac{2 \, e^{3} x}{3 \, \sqrt{c x^{2} + b x} b c} - \frac{2 \, d^{3}}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, c d^{3}}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{8 \, d^{2} e}{\sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, d e^{2}}{\sqrt{c x^{2} + b x} b c} + \frac{e^{3}}{3 \, \sqrt{c x^{2} + b x} c^{2}}"," ",0,"-e^3*x^2/((c*x^2 + b*x)^(3/2)*c) - 4/3*c*d^3*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*c^2*d^3*x/(sqrt(c*x^2 + b*x)*b^4) + 2*d^2*e*x/((c*x^2 + b*x)^(3/2)*b) - 16*c*d^2*e*x/(sqrt(c*x^2 + b*x)*b^3) + 4*d*e^2*x/(sqrt(c*x^2 + b*x)*b^2) - 2*d*e^2*x/((c*x^2 + b*x)^(3/2)*c) - 1/3*b*e^3*x/((c*x^2 + b*x)^(3/2)*c^2) + 2/3*e^3*x/(sqrt(c*x^2 + b*x)*b*c) - 2/3*d^3/((c*x^2 + b*x)^(3/2)*b) + 16/3*c*d^3/(sqrt(c*x^2 + b*x)*b^3) - 8*d^2*e/(sqrt(c*x^2 + b*x)*b^2) + 2*d*e^2/(sqrt(c*x^2 + b*x)*b*c) + 1/3*e^3/(sqrt(c*x^2 + b*x)*c^2)","B",0
331,1,203,0,1.332956," ","integrate((e*x+d)^2/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{4 \, c d^{2} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, c^{2} d^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{4 \, d e x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{32 \, c d e x}{3 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{4 \, e^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{2}} - \frac{2 \, e^{2} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{2 \, d^{2}}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, c d^{2}}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{16 \, d e}{3 \, \sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, e^{2}}{3 \, \sqrt{c x^{2} + b x} b c}"," ",0,"-4/3*c*d^2*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*c^2*d^2*x/(sqrt(c*x^2 + b*x)*b^4) + 4/3*d*e*x/((c*x^2 + b*x)^(3/2)*b) - 32/3*c*d*e*x/(sqrt(c*x^2 + b*x)*b^3) + 4/3*e^2*x/(sqrt(c*x^2 + b*x)*b^2) - 2/3*e^2*x/((c*x^2 + b*x)^(3/2)*c) - 2/3*d^2/((c*x^2 + b*x)^(3/2)*b) + 16/3*c*d^2/(sqrt(c*x^2 + b*x)*b^3) - 16/3*d*e/(sqrt(c*x^2 + b*x)*b^2) + 2/3*e^2/(sqrt(c*x^2 + b*x)*b*c)","B",0
332,1,130,0,1.372206," ","integrate((e*x+d)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{4 \, c d x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, c^{2} d x}{3 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{2 \, e x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{16 \, c e x}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{2 \, d}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, c d}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{8 \, e}{3 \, \sqrt{c x^{2} + b x} b^{2}}"," ",0,"-4/3*c*d*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*c^2*d*x/(sqrt(c*x^2 + b*x)*b^4) + 2/3*e*x/((c*x^2 + b*x)^(3/2)*b) - 16/3*c*e*x/(sqrt(c*x^2 + b*x)*b^3) - 2/3*d/((c*x^2 + b*x)^(3/2)*b) + 16/3*c*d/(sqrt(c*x^2 + b*x)*b^3) - 8/3*e/(sqrt(c*x^2 + b*x)*b^2)","B",0
333,1,72,0,1.383815," ","integrate(1/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{4 \, c x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, c^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{2}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, c}{3 \, \sqrt{c x^{2} + b x} b^{3}}"," ",0,"-4/3*c*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*c^2*x/(sqrt(c*x^2 + b*x)*b^4) - 2/3/((c*x^2 + b*x)^(3/2)*b) + 16/3*c/(sqrt(c*x^2 + b*x)*b^3)","A",0
334,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive, negative or zero?","F(-2)",0
335,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive, negative or zero?","F(-2)",0
336,1,15,0,1.335540," ","integrate(1/(2+x)/(x^2+2*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{2} + 2 \, x}}{x + 2}"," ",0,"sqrt(x^2 + 2*x)/(x + 2)","A",0
337,1,54,0,1.348102," ","integrate((e*x+d)^(7/2)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(99 \, {\left(e x + d\right)}^{\frac{13}{2}} c - 117 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 143 \, {\left(c d^{2} - b d e\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{1287 \, e^{3}}"," ",0,"2/1287*(99*(e*x + d)^(13/2)*c - 117*(2*c*d - b*e)*(e*x + d)^(11/2) + 143*(c*d^2 - b*d*e)*(e*x + d)^(9/2))/e^3","A",0
338,1,54,0,1.394230," ","integrate((e*x+d)^(5/2)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} c - 77 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 99 \, {\left(c d^{2} - b d e\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{693 \, e^{3}}"," ",0,"2/693*(63*(e*x + d)^(11/2)*c - 77*(2*c*d - b*e)*(e*x + d)^(9/2) + 99*(c*d^2 - b*d*e)*(e*x + d)^(7/2))/e^3","A",0
339,1,54,0,1.319012," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} c - 45 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 63 \, {\left(c d^{2} - b d e\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{315 \, e^{3}}"," ",0,"2/315*(35*(e*x + d)^(9/2)*c - 45*(2*c*d - b*e)*(e*x + d)^(7/2) + 63*(c*d^2 - b*d*e)*(e*x + d)^(5/2))/e^3","A",0
340,1,54,0,1.340027," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{\frac{7}{2}} c - 21 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(c d^{2} - b d e\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{105 \, e^{3}}"," ",0,"2/105*(15*(e*x + d)^(7/2)*c - 21*(2*c*d - b*e)*(e*x + d)^(5/2) + 35*(c*d^2 - b*d*e)*(e*x + d)^(3/2))/e^3","A",0
341,1,67,0,1.371172," ","integrate((c*x^2+b*x)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)} b}{e} + \frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} c}{e^{2}}\right)}}{15 \, e}"," ",0,"2/15*(5*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)*b/e + (3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*c/e^2)/e","A",0
342,1,61,0,1.287818," ","integrate((c*x^2+b*x)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} c - 3 \, {\left(2 \, c d - b e\right)} \sqrt{e x + d}}{e^{2}} - \frac{3 \, {\left(c d^{2} - b d e\right)}}{\sqrt{e x + d} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(((e*x + d)^(3/2)*c - 3*(2*c*d - b*e)*sqrt(e*x + d))/e^2 - 3*(c*d^2 - b*d*e)/(sqrt(e*x + d)*e^2))/e","A",0
343,1,58,0,1.300254," ","integrate((c*x^2+b*x)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, \sqrt{e x + d} c}{e^{2}} - \frac{c d^{2} - b d e - 3 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(3*sqrt(e*x + d)*c/e^2 - (c*d^2 - b*d*e - 3*(2*c*d - b*e)*(e*x + d))/((e*x + d)^(3/2)*e^2))/e","A",0
344,1,50,0,1.273354," ","integrate((c*x^2+b*x)/(e*x+d)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{2} c + 3 \, c d^{2} - 3 \, b d e - 5 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}\right)}}{15 \, {\left(e x + d\right)}^{\frac{5}{2}} e^{3}}"," ",0,"-2/15*(15*(e*x + d)^2*c + 3*c*d^2 - 3*b*d*e - 5*(2*c*d - b*e)*(e*x + d))/((e*x + d)^(5/2)*e^3)","A",0
345,1,139,0,1.424543," ","integrate((e*x+d)^(7/2)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(6435 \, {\left(e x + d\right)}^{\frac{17}{2}} c^{2} - 14586 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 8415 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 19890 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 12155 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{109395 \, e^{5}}"," ",0,"2/109395*(6435*(e*x + d)^(17/2)*c^2 - 14586*(2*c^2*d - b*c*e)*(e*x + d)^(15/2) + 8415*(6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*(e*x + d)^(13/2) - 19890*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*(e*x + d)^(11/2) + 12155*(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2)*(e*x + d)^(9/2))/e^5","A",0
346,1,139,0,1.396675," ","integrate((e*x+d)^(5/2)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{2} - 6930 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 4095 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 10010 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 6435 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{45045 \, e^{5}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*c^2 - 6930*(2*c^2*d - b*c*e)*(e*x + d)^(13/2) + 4095*(6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*(e*x + d)^(11/2) - 10010*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*(e*x + d)^(9/2) + 6435*(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2)*(e*x + d)^(7/2))/e^5","A",0
347,1,139,0,1.349053," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3465 \, {\left(e x + d\right)}^{\frac{13}{2}} c^{2} - 8190 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 5005 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 12870 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 9009 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{45045 \, e^{5}}"," ",0,"2/45045*(3465*(e*x + d)^(13/2)*c^2 - 8190*(2*c^2*d - b*c*e)*(e*x + d)^(11/2) + 5005*(6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*(e*x + d)^(9/2) - 12870*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*(e*x + d)^(7/2) + 9009*(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2)*(e*x + d)^(5/2))/e^5","A",0
348,1,139,0,1.351931," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{2} - 770 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 1386 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{3465 \, e^{5}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*c^2 - 770*(2*c^2*d - b*c*e)*(e*x + d)^(9/2) + 495*(6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*(e*x + d)^(7/2) - 1386*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*(e*x + d)^(5/2) + 1155*(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2)*(e*x + d)^(3/2))/e^5","A",0
349,1,160,0,1.419554," ","integrate((c*x^2+b*x)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{21 \, {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} b^{2}}{e^{2}} + \frac{18 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} b c}{e^{3}} + \frac{{\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} c^{2}}{e^{4}}\right)}}{315 \, e}"," ",0,"2/315*(21*(3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*b^2/e^2 + 18*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*b*c/e^3 + (35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*c^2/e^4)/e","A",0
350,1,147,0,1.345530," ","integrate((c*x^2+b*x)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{2} - 42 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 210 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} \sqrt{e x + d}}{e^{4}} - \frac{105 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}\right)}}{\sqrt{e x + d} e^{4}}\right)}}{105 \, e}"," ",0,"2/105*((15*(e*x + d)^(7/2)*c^2 - 42*(2*c^2*d - b*c*e)*(e*x + d)^(5/2) + 35*(6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*(e*x + d)^(3/2) - 210*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*sqrt(e*x + d))/e^4 - 105*(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2)/(sqrt(e*x + d)*e^4))/e","A",0
351,1,145,0,1.292514," ","integrate((c*x^2+b*x)^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} c^{2} - 10 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} \sqrt{e x + d}}{e^{4}} - \frac{5 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2} - 6 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{4}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*c^2 - 10*(2*c^2*d - b*c*e)*(e*x + d)^(3/2) + 15*(6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*sqrt(e*x + d))/e^4 - 5*(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2 - 6*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*(e*x + d))/((e*x + d)^(3/2)*e^4))/e","A",0
352,1,147,0,1.330783," ","integrate((c*x^2+b*x)^2/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} c^{2} - 6 \, {\left(2 \, c^{2} d - b c e\right)} \sqrt{e x + d}\right)}}{e^{4}} - \frac{3 \, c^{2} d^{4} - 6 \, b c d^{3} e + 3 \, b^{2} d^{2} e^{2} + 15 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + b^{2} e^{2}\right)} {\left(e x + d\right)}^{2} - 10 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e + b^{2} d e^{2}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{4}}\right)}}{15 \, e}"," ",0,"2/15*(5*((e*x + d)^(3/2)*c^2 - 6*(2*c^2*d - b*c*e)*sqrt(e*x + d))/e^4 - (3*c^2*d^4 - 6*b*c*d^3*e + 3*b^2*d^2*e^2 + 15*(6*c^2*d^2 - 6*b*c*d*e + b^2*e^2)*(e*x + d)^2 - 10*(2*c^2*d^3 - 3*b*c*d^2*e + b^2*d*e^2)*(e*x + d))/((e*x + d)^(5/2)*e^4))/e","A",0
353,1,271,0,1.413977," ","integrate((e*x+d)^(7/2)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(692835 \, {\left(e x + d\right)}^{\frac{21}{2}} c^{3} - 2297295 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{19}{2}} + 2567565 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + b^{2} c e^{2}\right)} {\left(e x + d\right)}^{\frac{17}{2}} - 969969 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 3357585 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, b^{2} c d^{2} e^{2} - b^{3} d e^{3}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 3968055 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e + 4 \, b^{2} c d^{3} e^{2} - b^{3} d^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 1616615 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{14549535 \, e^{7}}"," ",0,"2/14549535*(692835*(e*x + d)^(21/2)*c^3 - 2297295*(2*c^3*d - b*c^2*e)*(e*x + d)^(19/2) + 2567565*(5*c^3*d^2 - 5*b*c^2*d*e + b^2*c*e^2)*(e*x + d)^(17/2) - 969969*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*b^2*c*d*e^2 - b^3*e^3)*(e*x + d)^(15/2) + 3357585*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*b^2*c*d^2*e^2 - b^3*d*e^3)*(e*x + d)^(13/2) - 3968055*(2*c^3*d^5 - 5*b*c^2*d^4*e + 4*b^2*c*d^3*e^2 - b^3*d^2*e^3)*(e*x + d)^(11/2) + 1616615*(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3)*(e*x + d)^(9/2))/e^7","A",0
354,1,271,0,1.385503," ","integrate((e*x+d)^(5/2)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(255255 \, {\left(e x + d\right)}^{\frac{19}{2}} c^{3} - 855855 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 969969 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + b^{2} c e^{2}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 373065 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 1322685 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, b^{2} c d^{2} e^{2} - b^{3} d e^{3}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 1616615 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e + 4 \, b^{2} c d^{3} e^{2} - b^{3} d^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 692835 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{4849845 \, e^{7}}"," ",0,"2/4849845*(255255*(e*x + d)^(19/2)*c^3 - 855855*(2*c^3*d - b*c^2*e)*(e*x + d)^(17/2) + 969969*(5*c^3*d^2 - 5*b*c^2*d*e + b^2*c*e^2)*(e*x + d)^(15/2) - 373065*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*b^2*c*d*e^2 - b^3*e^3)*(e*x + d)^(13/2) + 1322685*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*b^2*c*d^2*e^2 - b^3*d*e^3)*(e*x + d)^(11/2) - 1616615*(2*c^3*d^5 - 5*b*c^2*d^4*e + 4*b^2*c*d^3*e^2 - b^3*d^2*e^3)*(e*x + d)^(9/2) + 692835*(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3)*(e*x + d)^(7/2))/e^7","A",0
355,1,271,0,1.417061," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(15015 \, {\left(e x + d\right)}^{\frac{17}{2}} c^{3} - 51051 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 58905 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + b^{2} c e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 23205 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 85085 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, b^{2} c d^{2} e^{2} - b^{3} d e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 109395 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e + 4 \, b^{2} c d^{3} e^{2} - b^{3} d^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 51051 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{255255 \, e^{7}}"," ",0,"2/255255*(15015*(e*x + d)^(17/2)*c^3 - 51051*(2*c^3*d - b*c^2*e)*(e*x + d)^(15/2) + 58905*(5*c^3*d^2 - 5*b*c^2*d*e + b^2*c*e^2)*(e*x + d)^(13/2) - 23205*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*b^2*c*d*e^2 - b^3*e^3)*(e*x + d)^(11/2) + 85085*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*b^2*c*d^2*e^2 - b^3*d*e^3)*(e*x + d)^(9/2) - 109395*(2*c^3*d^5 - 5*b*c^2*d^4*e + 4*b^2*c*d^3*e^2 - b^3*d^2*e^3)*(e*x + d)^(7/2) + 51051*(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3)*(e*x + d)^(5/2))/e^7","A",0
356,1,271,0,1.395750," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{3} - 10395 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 12285 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + b^{2} c e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 5005 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 19305 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, b^{2} c d^{2} e^{2} - b^{3} d e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 27027 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e + 4 \, b^{2} c d^{3} e^{2} - b^{3} d^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 15015 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{45045 \, e^{7}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*c^3 - 10395*(2*c^3*d - b*c^2*e)*(e*x + d)^(13/2) + 12285*(5*c^3*d^2 - 5*b*c^2*d*e + b^2*c*e^2)*(e*x + d)^(11/2) - 5005*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*b^2*c*d*e^2 - b^3*e^3)*(e*x + d)^(9/2) + 19305*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*b^2*c*d^2*e^2 - b^3*d*e^3)*(e*x + d)^(7/2) - 27027*(2*c^3*d^5 - 5*b*c^2*d^4*e + 4*b^2*c*d^3*e^2 - b^3*d^2*e^3)*(e*x + d)^(5/2) + 15015*(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3)*(e*x + d)^(3/2))/e^7","A",0
357,1,288,0,1.428192," ","integrate((c*x^2+b*x)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{429 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} b^{3}}{e^{3}} + \frac{143 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} b^{2} c}{e^{4}} + \frac{65 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} - 385 \, {\left(e x + d\right)}^{\frac{9}{2}} d + 990 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{e x + d} d^{5}\right)} b c^{2}}{e^{5}} + \frac{5 \, {\left(231 \, {\left(e x + d\right)}^{\frac{13}{2}} - 1638 \, {\left(e x + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(e x + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{e x + d} d^{6}\right)} c^{3}}{e^{6}}\right)}}{15015 \, e}"," ",0,"2/15015*(429*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*b^3/e^3 + 143*(35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*b^2*c/e^4 + 65*(63*(e*x + d)^(11/2) - 385*(e*x + d)^(9/2)*d + 990*(e*x + d)^(7/2)*d^2 - 1386*(e*x + d)^(5/2)*d^3 + 1155*(e*x + d)^(3/2)*d^4 - 693*sqrt(e*x + d)*d^5)*b*c^2/e^5 + 5*(231*(e*x + d)^(13/2) - 1638*(e*x + d)^(11/2)*d + 5005*(e*x + d)^(9/2)*d^2 - 8580*(e*x + d)^(7/2)*d^3 + 9009*(e*x + d)^(5/2)*d^4 - 6006*(e*x + d)^(3/2)*d^5 + 3003*sqrt(e*x + d)*d^6)*c^3/e^6)/e","A",0
358,1,279,0,1.390862," ","integrate((c*x^2+b*x)^3/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{105 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{3} - 385 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + b^{2} c e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 231 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, b^{2} c d^{2} e^{2} - b^{3} d e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 3465 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e + 4 \, b^{2} c d^{3} e^{2} - b^{3} d^{2} e^{3}\right)} \sqrt{e x + d}}{e^{6}} - \frac{1155 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3}\right)}}{\sqrt{e x + d} e^{6}}\right)}}{1155 \, e}"," ",0,"2/1155*((105*(e*x + d)^(11/2)*c^3 - 385*(2*c^3*d - b*c^2*e)*(e*x + d)^(9/2) + 495*(5*c^3*d^2 - 5*b*c^2*d*e + b^2*c*e^2)*(e*x + d)^(7/2) - 231*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*b^2*c*d*e^2 - b^3*e^3)*(e*x + d)^(5/2) + 1155*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*b^2*c*d^2*e^2 - b^3*d*e^3)*(e*x + d)^(3/2) - 3465*(2*c^3*d^5 - 5*b*c^2*d^4*e + 4*b^2*c*d^3*e^2 - b^3*d^2*e^3)*sqrt(e*x + d))/e^6 - 1155*(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3)/(sqrt(e*x + d)*e^6))/e","A",0
359,1,277,0,1.395586," ","integrate((c*x^2+b*x)^3/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}} c^{3} - 135 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 189 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + b^{2} c e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 105 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 945 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, b^{2} c d^{2} e^{2} - b^{3} d e^{3}\right)} \sqrt{e x + d}}{e^{6}} - \frac{105 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3} - 9 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e + 4 \, b^{2} c d^{3} e^{2} - b^{3} d^{2} e^{3}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{6}}\right)}}{315 \, e}"," ",0,"2/315*((35*(e*x + d)^(9/2)*c^3 - 135*(2*c^3*d - b*c^2*e)*(e*x + d)^(7/2) + 189*(5*c^3*d^2 - 5*b*c^2*d*e + b^2*c*e^2)*(e*x + d)^(5/2) - 105*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*b^2*c*d*e^2 - b^3*e^3)*(e*x + d)^(3/2) + 945*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*b^2*c*d^2*e^2 - b^3*d*e^3)*sqrt(e*x + d))/e^6 - 105*(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3 - 9*(2*c^3*d^5 - 5*b*c^2*d^4*e + 4*b^2*c*d^3*e^2 - b^3*d^2*e^3)*(e*x + d))/((e*x + d)^(3/2)*e^6))/e","A",0
360,1,277,0,1.382886," ","integrate((c*x^2+b*x)^3/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{3} - 21 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + b^{2} c e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 35 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} \sqrt{e x + d}}{e^{6}} - \frac{7 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} - b^{3} d^{3} e^{3} + 15 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, b^{2} c d^{2} e^{2} - b^{3} d e^{3}\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e + 4 \, b^{2} c d^{3} e^{2} - b^{3} d^{2} e^{3}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{6}}\right)}}{35 \, e}"," ",0,"2/35*((5*(e*x + d)^(7/2)*c^3 - 21*(2*c^3*d - b*c^2*e)*(e*x + d)^(5/2) + 35*(5*c^3*d^2 - 5*b*c^2*d*e + b^2*c*e^2)*(e*x + d)^(3/2) - 35*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*b^2*c*d*e^2 - b^3*e^3)*sqrt(e*x + d))/e^6 - 7*(c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 - b^3*d^3*e^3 + 15*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*b^2*c*d^2*e^2 - b^3*d*e^3)*(e*x + d)^2 - 5*(2*c^3*d^5 - 5*b*c^2*d^4*e + 4*b^2*c*d^3*e^2 - b^3*d^2*e^3)*(e*x + d))/((e*x + d)^(5/2)*e^6))/e","A",0
361,-2,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
362,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
363,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
364,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
365,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
366,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
367,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
368,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
369,-2,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
370,-2,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
371,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
372,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
373,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
374,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
375,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
376,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
377,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
378,-2,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
379,-2,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
380,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
381,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
382,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
383,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
384,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
385,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d positive or negative?","F(-2)",0
386,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x} {\left(e x + d\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(e*x + d)^(3/2), x)","F",0
387,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x} \sqrt{e x + d}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*sqrt(e*x + d), x)","F",0
388,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)/sqrt(e*x + d), x)","F",0
389,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)/(e*x + d)^(3/2), x)","F",0
390,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)/(e*x + d)^(5/2), x)","F",0
391,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)/(e*x + d)^(7/2), x)","F",0
392,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(e*x + d)^(3/2), x)","F",0
393,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{3}{2}} \sqrt{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*sqrt(e*x + d), x)","F",0
394,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/sqrt(e*x + d), x)","F",0
395,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/(e*x + d)^(3/2), x)","F",0
396,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/(e*x + d)^(5/2), x)","F",0
397,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/(e*x + d)^(7/2), x)","F",0
398,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)/(e*x + d)^(9/2), x)","F",0
399,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{5}{2}} \sqrt{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)*sqrt(e*x + d), x)","F",0
400,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)/sqrt(e*x + d), x)","F",0
401,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)/(e*x + d)^(3/2), x)","F",0
402,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)/(e*x + d)^(5/2), x)","F",0
403,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)/(e*x + d)^(7/2), x)","F",0
404,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)/(e*x + d)^(9/2), x)","F",0
405,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)/(e*x + d)^(11/2), x)","F",0
406,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{\sqrt{c x^{2} + b x}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/sqrt(c*x^2 + b*x), x)","F",0
407,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{\sqrt{c x^{2} + b x}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/sqrt(c*x^2 + b*x), x)","F",0
408,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + b x}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/sqrt(c*x^2 + b*x), x)","F",0
409,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c x^{2} + b x}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/sqrt(c*x^2 + b*x), x)","F",0
410,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x)*sqrt(e*x + d)), x)","F",0
411,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x)*(e*x + d)^(3/2)), x)","F",0
412,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x)*(e*x + d)^(5/2)), x)","F",0
413,0,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x)*(e*x + d)^(7/2)), x)","F",0
414,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + b*x)^(3/2), x)","F",0
415,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + b*x)^(3/2), x)","F",0
416,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + b*x)^(3/2), x)","F",0
417,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + b*x)^(3/2), x)","F",0
418,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x)^(3/2)*sqrt(e*x + d)), x)","F",0
419,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x)^(3/2)*(e*x + d)^(3/2)), x)","F",0
420,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x)^(3/2)*(e*x + d)^(5/2)), x)","F",0
421,0,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{9}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(9/2)/(c*x^2 + b*x)^(5/2), x)","F",0
422,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + b*x)^(5/2), x)","F",0
423,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + b*x)^(5/2), x)","F",0
424,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + b*x)^(5/2), x)","F",0
425,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + b*x)^(5/2), x)","F",0
426,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x)^(5/2)*sqrt(e*x + d)), x)","F",0
427,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x)^(5/2)*(e*x + d)^(3/2)), x)","F",0
428,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(-3*x^2+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{-3 \, x^{2} + 2 \, x}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/sqrt(-3*x^2 + 2*x), x)","F",0
429,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(-3*x^2+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{e x + d} \sqrt{-3 \, x^{2} + 2 \, x}}\,{d x}"," ",0,"integrate(1/(sqrt(e*x + d)*sqrt(-3*x^2 + 2*x)), x)","F",0
430,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(-3*x^2-2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{-3 \, x^{2} - 2 \, x}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/sqrt(-3*x^2 - 2*x), x)","F",0
431,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(-3*x^2-2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{e x + d} \sqrt{-3 \, x^{2} - 2 \, x}}\,{d x}"," ",0,"integrate(1/(sqrt(e*x + d)*sqrt(-3*x^2 - 2*x)), x)","F",0
432,0,0,0,0.000000," ","integrate((1-x)^(1/2)/(-x)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\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
433,0,0,0,0.000000," ","integrate((1-x)^(1/2)/(-x^2-x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-x + 1}}{\sqrt{-x^{2} - x}}\,{d x}"," ",0,"integrate(sqrt(-x + 1)/sqrt(-x^2 - x), x)","F",0
434,1,674,0,1.596800," ","integrate((e*x+d)^m*(c*e*x^2+c*d*x)^3,x, algorithm=""maxima"")","\frac{{\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} c^{3} d^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{3 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{3} d^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{4}} + \frac{3 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{6} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d e^{5} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{2} e^{4} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{3} e^{3} x^{3} - 60 \, {\left(m^{2} + m\right)} d^{4} e^{2} x^{2} + 120 \, d^{5} e m x - 120 \, d^{6}\right)} {\left(e x + d\right)}^{m} c^{3} d}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{4}} + \frac{{\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d e^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{2} e^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{3} e^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{4} e^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} d^{5} e^{2} x^{2} - 720 \, d^{6} e m x + 720 \, d^{7}\right)} {\left(e x + d\right)}^{m} c^{3}}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} e^{4}}"," ",0,"((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*c^3*d^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 3*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^3*d^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^4) + 3*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m^2 + 2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*c^3*d/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^4) + ((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*c^3/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^4)","B",0
435,1,323,0,1.589373," ","integrate((e*x+d)^m*(c*e*x^2+c*d*x)^2,x, algorithm=""maxima"")","\frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c^{2} d^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{2 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} c^{2} d}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{3}} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{3}}"," ",0,"((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c^2*d^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*c^2*d/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^3) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^3)","B",0
436,1,114,0,1.409972," ","integrate((e*x+d)^m*(c*e*x^2+c*d*x),x, algorithm=""maxima"")","\frac{{\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} c d}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{2}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*c*d/((m^2 + 3*m + 2)*e^2) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c/((m^3 + 6*m^2 + 11*m + 6)*e^2)","B",0
437,1,18,0,1.269268," ","integrate((e*x+d)^m,x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{m + 1}}{e {\left(m + 1\right)}}"," ",0,"(e*x + d)^(m + 1)/(e*(m + 1))","A",0
438,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*e*x^2+c*d*x),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{c e x^{2} + c d x}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*e*x^2 + c*d*x), x)","F",0
439,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*e*x^2+c*d*x)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c e x^{2} + c d x\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*e*x^2 + c*d*x)^2, x)","F",0
440,1,669,0,1.619628," ","integrate((e*x+d)^m*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{{\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} b^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{3 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} b^{2} c}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{3 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{6} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d e^{5} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{2} e^{4} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{3} e^{3} x^{3} - 60 \, {\left(m^{2} + m\right)} d^{4} e^{2} x^{2} + 120 \, d^{5} e m x - 120 \, d^{6}\right)} {\left(e x + d\right)}^{m} b c^{2}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \frac{{\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d e^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{2} e^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{3} e^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{4} e^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} d^{5} e^{2} x^{2} - 720 \, d^{6} e m x + 720 \, d^{7}\right)} {\left(e x + d\right)}^{m} c^{3}}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} e^{7}}"," ",0,"((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 3*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*b^2*c/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 3*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m^2 + 2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*b*c^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + ((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*c^3/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7)","B",0
441,1,318,0,1.500032," ","integrate((e*x+d)^m*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{2 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} b c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}}"," ",0,"((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*b*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5)","A",0
442,1,113,0,1.409185," ","integrate((e*x+d)^m*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{{\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*b/((m^2 + 3*m + 2)*e^2) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c/((m^3 + 6*m^2 + 11*m + 6)*e^3)","A",0
443,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{c x^{2} + b x}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + b*x), x)","F",0
444,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c x^{2} + b x\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + b*x)^2, x)","F",0
445,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c x^{2} + b x\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + b*x)^3, x)","F",0
446,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(e*x + d)^m, x)","F",0
447,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(e*x + d)^m, x)","F",0
448,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{\sqrt{c x^{2} + b x}}\,{d x}"," ",0,"integrate((e*x + d)^m/sqrt(c*x^2 + b*x), x)","F",0
449,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + b*x)^(3/2), x)","F",0
450,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p*(e*x + d)^m, x)","F",0
451,1,93,0,1.319469," ","integrate((e*x+d)^4*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{7} \, c e^{4} x^{7} + \frac{2}{3} \, c d e^{3} x^{6} + 2 \, a d^{3} e x^{2} + a d^{4} x + \frac{1}{5} \, {\left(6 \, c d^{2} e^{2} + a e^{4}\right)} x^{5} + {\left(c d^{3} e + a d e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(c d^{4} + 6 \, a d^{2} e^{2}\right)} x^{3}"," ",0,"1/7*c*e^4*x^7 + 2/3*c*d*e^3*x^6 + 2*a*d^3*e*x^2 + a*d^4*x + 1/5*(6*c*d^2*e^2 + a*e^4)*x^5 + (c*d^3*e + a*d*e^3)*x^4 + 1/3*(c*d^4 + 6*a*d^2*e^2)*x^3","A",0
452,1,72,0,1.333457," ","integrate((e*x+d)^3*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{6} \, c e^{3} x^{6} + \frac{3}{5} \, c d e^{2} x^{5} + \frac{3}{2} \, a d^{2} e x^{2} + a d^{3} x + \frac{1}{4} \, {\left(3 \, c d^{2} e + a e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(c d^{3} + 3 \, a d e^{2}\right)} x^{3}"," ",0,"1/6*c*e^3*x^6 + 3/5*c*d*e^2*x^5 + 3/2*a*d^2*e*x^2 + a*d^3*x + 1/4*(3*c*d^2*e + a*e^3)*x^4 + 1/3*(c*d^3 + 3*a*d*e^2)*x^3","A",0
453,1,47,0,1.343123," ","integrate((e*x+d)^2*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{5} \, c e^{2} x^{5} + \frac{1}{2} \, c d e x^{4} + a d e x^{2} + a d^{2} x + \frac{1}{3} \, {\left(c d^{2} + a e^{2}\right)} x^{3}"," ",0,"1/5*c*e^2*x^5 + 1/2*c*d*e*x^4 + a*d*e*x^2 + a*d^2*x + 1/3*(c*d^2 + a*e^2)*x^3","A",0
454,1,26,0,1.330617," ","integrate((e*x+d)*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{4} \, c e x^{4} + \frac{1}{3} \, c d x^{3} + \frac{1}{2} \, a e x^{2} + a d x"," ",0,"1/4*c*e*x^4 + 1/3*c*d*x^3 + 1/2*a*e*x^2 + a*d*x","A",0
455,1,39,0,1.349029," ","integrate((c*x^2+a)/(e*x+d),x, algorithm=""maxima"")","\frac{c e x^{2} - 2 \, c d x}{2 \, e^{2}} + \frac{{\left(c d^{2} + a e^{2}\right)} \log\left(e x + d\right)}{e^{3}}"," ",0,"1/2*(c*e*x^2 - 2*c*d*x)/e^2 + (c*d^2 + a*e^2)*log(e*x + d)/e^3","A",0
456,1,46,0,1.340909," ","integrate((c*x^2+a)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c d^{2} + a e^{2}}{e^{4} x + d e^{3}} + \frac{c x}{e^{2}} - \frac{2 \, c d \log\left(e x + d\right)}{e^{3}}"," ",0,"-(c*d^2 + a*e^2)/(e^4*x + d*e^3) + c*x/e^2 - 2*c*d*log(e*x + d)/e^3","A",0
457,1,57,0,1.324168," ","integrate((c*x^2+a)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{4 \, c d e x + 3 \, c d^{2} - a e^{2}}{2 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)}} + \frac{c \log\left(e x + d\right)}{e^{3}}"," ",0,"1/2*(4*c*d*e*x + 3*c*d^2 - a*e^2)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) + c*log(e*x + d)/e^3","A",0
458,1,63,0,1.390435," ","integrate((c*x^2+a)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{3 \, c e^{2} x^{2} + 3 \, c d e x + c d^{2} + a e^{2}}{3 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}}"," ",0,"-1/3*(3*c*e^2*x^2 + 3*c*d*e*x + c*d^2 + a*e^2)/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3)","A",0
459,1,75,0,1.299665," ","integrate((c*x^2+a)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{6 \, c e^{2} x^{2} + 4 \, c d e x + c d^{2} + 3 \, a e^{2}}{12 \, {\left(e^{7} x^{4} + 4 \, d e^{6} x^{3} + 6 \, d^{2} e^{5} x^{2} + 4 \, d^{3} e^{4} x + d^{4} e^{3}\right)}}"," ",0,"-1/12*(6*c*e^2*x^2 + 4*c*d*e*x + c*d^2 + 3*a*e^2)/(e^7*x^4 + 4*d*e^6*x^3 + 6*d^2*e^5*x^2 + 4*d^3*e^4*x + d^4*e^3)","A",0
460,1,163,0,1.298316," ","integrate((e*x+d)^4*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{9} \, c^{2} e^{4} x^{9} + \frac{1}{2} \, c^{2} d e^{3} x^{8} + 2 \, a^{2} d^{3} e x^{2} + \frac{2}{7} \, {\left(3 \, c^{2} d^{2} e^{2} + a c e^{4}\right)} x^{7} + a^{2} d^{4} x + \frac{2}{3} \, {\left(c^{2} d^{3} e + 2 \, a c d e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(c^{2} d^{4} + 12 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} x^{5} + {\left(2 \, a c d^{3} e + a^{2} d e^{3}\right)} x^{4} + \frac{2}{3} \, {\left(a c d^{4} + 3 \, a^{2} d^{2} e^{2}\right)} x^{3}"," ",0,"1/9*c^2*e^4*x^9 + 1/2*c^2*d*e^3*x^8 + 2*a^2*d^3*e*x^2 + 2/7*(3*c^2*d^2*e^2 + a*c*e^4)*x^7 + a^2*d^4*x + 2/3*(c^2*d^3*e + 2*a*c*d*e^3)*x^6 + 1/5*(c^2*d^4 + 12*a*c*d^2*e^2 + a^2*e^4)*x^5 + (2*a*c*d^3*e + a^2*d*e^3)*x^4 + 2/3*(a*c*d^4 + 3*a^2*d^2*e^2)*x^3","A",0
461,1,130,0,1.351409," ","integrate((e*x+d)^3*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, c^{2} e^{3} x^{8} + \frac{3}{7} \, c^{2} d e^{2} x^{7} + \frac{3}{2} \, a^{2} d^{2} e x^{2} + \frac{1}{6} \, {\left(3 \, c^{2} d^{2} e + 2 \, a c e^{3}\right)} x^{6} + a^{2} d^{3} x + \frac{1}{5} \, {\left(c^{2} d^{3} + 6 \, a c d e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(6 \, a c d^{2} e + a^{2} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(2 \, a c d^{3} + 3 \, a^{2} d e^{2}\right)} x^{3}"," ",0,"1/8*c^2*e^3*x^8 + 3/7*c^2*d*e^2*x^7 + 3/2*a^2*d^2*e*x^2 + 1/6*(3*c^2*d^2*e + 2*a*c*e^3)*x^6 + a^2*d^3*x + 1/5*(c^2*d^3 + 6*a*c*d*e^2)*x^5 + 1/4*(6*a*c*d^2*e + a^2*e^3)*x^4 + 1/3*(2*a*c*d^3 + 3*a^2*d*e^2)*x^3","A",0
462,1,87,0,1.396911," ","integrate((e*x+d)^2*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{7} \, c^{2} e^{2} x^{7} + \frac{1}{3} \, c^{2} d e x^{6} + a c d e x^{4} + a^{2} d e x^{2} + \frac{1}{5} \, {\left(c^{2} d^{2} + 2 \, a c e^{2}\right)} x^{5} + a^{2} d^{2} x + \frac{1}{3} \, {\left(2 \, a c d^{2} + a^{2} e^{2}\right)} x^{3}"," ",0,"1/7*c^2*e^2*x^7 + 1/3*c^2*d*e*x^6 + a*c*d*e*x^4 + a^2*d*e*x^2 + 1/5*(c^2*d^2 + 2*a*c*e^2)*x^5 + a^2*d^2*x + 1/3*(2*a*c*d^2 + a^2*e^2)*x^3","A",0
463,1,50,0,1.333266," ","integrate((e*x+d)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, c^{2} e x^{6} + \frac{1}{5} \, c^{2} d x^{5} + \frac{1}{2} \, a c e x^{4} + \frac{2}{3} \, a c d x^{3} + \frac{1}{2} \, a^{2} e x^{2} + a^{2} d x"," ",0,"1/6*c^2*e*x^6 + 1/5*c^2*d*x^5 + 1/2*a*c*e*x^4 + 2/3*a*c*d*x^3 + 1/2*a^2*e*x^2 + a^2*d*x","A",0
464,1,105,0,1.366635," ","integrate((c*x^2+a)^2/(e*x+d),x, algorithm=""maxima"")","\frac{3 \, c^{2} e^{3} x^{4} - 4 \, c^{2} d e^{2} x^{3} + 6 \, {\left(c^{2} d^{2} e + 2 \, a c e^{3}\right)} x^{2} - 12 \, {\left(c^{2} d^{3} + 2 \, a c d e^{2}\right)} x}{12 \, e^{4}} + \frac{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/12*(3*c^2*e^3*x^4 - 4*c^2*d*e^2*x^3 + 6*(c^2*d^2*e + 2*a*c*e^3)*x^2 - 12*(c^2*d^3 + 2*a*c*d*e^2)*x)/e^4 + (c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*log(e*x + d)/e^5","A",0
465,1,112,0,1.332245," ","integrate((c*x^2+a)^2/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}}{e^{6} x + d e^{5}} + \frac{c^{2} e^{2} x^{3} - 3 \, c^{2} d e x^{2} + 3 \, {\left(3 \, c^{2} d^{2} + 2 \, a c e^{2}\right)} x}{3 \, e^{4}} - \frac{4 \, {\left(c^{2} d^{3} + a c d e^{2}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"-(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)/(e^6*x + d*e^5) + 1/3*(c^2*e^2*x^3 - 3*c^2*d*e*x^2 + 3*(3*c^2*d^2 + 2*a*c*e^2)*x)/e^4 - 4*(c^2*d^3 + a*c*d*e^2)*log(e*x + d)/e^5","A",0
466,1,120,0,1.356570," ","integrate((c*x^2+a)^2/(e*x+d)^3,x, algorithm=""maxima"")","\frac{7 \, c^{2} d^{4} + 6 \, a c d^{2} e^{2} - a^{2} e^{4} + 8 \, {\left(c^{2} d^{3} e + a c d e^{3}\right)} x}{2 \, {\left(e^{7} x^{2} + 2 \, d e^{6} x + d^{2} e^{5}\right)}} + \frac{c^{2} e x^{2} - 6 \, c^{2} d x}{2 \, e^{4}} + \frac{2 \, {\left(3 \, c^{2} d^{2} + a c e^{2}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/2*(7*c^2*d^4 + 6*a*c*d^2*e^2 - a^2*e^4 + 8*(c^2*d^3*e + a*c*d*e^3)*x)/(e^7*x^2 + 2*d*e^6*x + d^2*e^5) + 1/2*(c^2*e*x^2 - 6*c^2*d*x)/e^4 + 2*(3*c^2*d^2 + a*c*e^2)*log(e*x + d)/e^5","A",0
467,1,130,0,1.423120," ","integrate((c*x^2+a)^2/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{13 \, c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4} + 6 \, {\left(3 \, c^{2} d^{2} e^{2} + a c e^{4}\right)} x^{2} + 6 \, {\left(5 \, c^{2} d^{3} e + a c d e^{3}\right)} x}{3 \, {\left(e^{8} x^{3} + 3 \, d e^{7} x^{2} + 3 \, d^{2} e^{6} x + d^{3} e^{5}\right)}} + \frac{c^{2} x}{e^{4}} - \frac{4 \, c^{2} d \log\left(e x + d\right)}{e^{5}}"," ",0,"-1/3*(13*c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4 + 6*(3*c^2*d^2*e^2 + a*c*e^4)*x^2 + 6*(5*c^2*d^3*e + a*c*d*e^3)*x)/(e^8*x^3 + 3*d*e^7*x^2 + 3*d^2*e^6*x + d^3*e^5) + c^2*x/e^4 - 4*c^2*d*log(e*x + d)/e^5","A",0
468,1,146,0,1.393658," ","integrate((c*x^2+a)^2/(e*x+d)^5,x, algorithm=""maxima"")","\frac{48 \, c^{2} d e^{3} x^{3} + 25 \, c^{2} d^{4} - 2 \, a c d^{2} e^{2} - 3 \, a^{2} e^{4} + 12 \, {\left(9 \, c^{2} d^{2} e^{2} - a c e^{4}\right)} x^{2} + 8 \, {\left(11 \, c^{2} d^{3} e - a c d e^{3}\right)} x}{12 \, {\left(e^{9} x^{4} + 4 \, d e^{8} x^{3} + 6 \, d^{2} e^{7} x^{2} + 4 \, d^{3} e^{6} x + d^{4} e^{5}\right)}} + \frac{c^{2} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/12*(48*c^2*d*e^3*x^3 + 25*c^2*d^4 - 2*a*c*d^2*e^2 - 3*a^2*e^4 + 12*(9*c^2*d^2*e^2 - a*c*e^4)*x^2 + 8*(11*c^2*d^3*e - a*c*d*e^3)*x)/(e^9*x^4 + 4*d*e^8*x^3 + 6*d^2*e^7*x^2 + 4*d^3*e^6*x + d^4*e^5) + c^2*log(e*x + d)/e^5","A",0
469,1,151,0,1.416157," ","integrate((c*x^2+a)^2/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{15 \, c^{2} e^{4} x^{4} + 30 \, c^{2} d e^{3} x^{3} + 3 \, c^{2} d^{4} + a c d^{2} e^{2} + 3 \, a^{2} e^{4} + 10 \, {\left(3 \, c^{2} d^{2} e^{2} + a c e^{4}\right)} x^{2} + 5 \, {\left(3 \, c^{2} d^{3} e + a c d e^{3}\right)} x}{15 \, {\left(e^{10} x^{5} + 5 \, d e^{9} x^{4} + 10 \, d^{2} e^{8} x^{3} + 10 \, d^{3} e^{7} x^{2} + 5 \, d^{4} e^{6} x + d^{5} e^{5}\right)}}"," ",0,"-1/15*(15*c^2*e^4*x^4 + 30*c^2*d*e^3*x^3 + 3*c^2*d^4 + a*c*d^2*e^2 + 3*a^2*e^4 + 10*(3*c^2*d^2*e^2 + a*c*e^4)*x^2 + 5*(3*c^2*d^3*e + a*c*d*e^3)*x)/(e^10*x^5 + 5*d*e^9*x^4 + 10*d^2*e^8*x^3 + 10*d^3*e^7*x^2 + 5*d^4*e^6*x + d^5*e^5)","A",0
470,1,159,0,1.499047," ","integrate((c*x^2+a)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{15 \, c^{2} e^{4} x^{4} + 20 \, c^{2} d e^{3} x^{3} + c^{2} d^{4} + a c d^{2} e^{2} + 5 \, a^{2} e^{4} + 15 \, {\left(c^{2} d^{2} e^{2} + a c e^{4}\right)} x^{2} + 6 \, {\left(c^{2} d^{3} e + a c d e^{3}\right)} x}{30 \, {\left(e^{11} x^{6} + 6 \, d e^{10} x^{5} + 15 \, d^{2} e^{9} x^{4} + 20 \, d^{3} e^{8} x^{3} + 15 \, d^{4} e^{7} x^{2} + 6 \, d^{5} e^{6} x + d^{6} e^{5}\right)}}"," ",0,"-1/30*(15*c^2*e^4*x^4 + 20*c^2*d*e^3*x^3 + c^2*d^4 + a*c*d^2*e^2 + 5*a^2*e^4 + 15*(c^2*d^2*e^2 + a*c*e^4)*x^2 + 6*(c^2*d^3*e + a*c*d*e^3)*x)/(e^11*x^6 + 6*d*e^10*x^5 + 15*d^2*e^9*x^4 + 20*d^3*e^8*x^3 + 15*d^4*e^7*x^2 + 6*d^5*e^6*x + d^6*e^5)","A",0
471,1,173,0,1.485577," ","integrate((c*x^2+a)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{35 \, c^{2} e^{4} x^{4} + 35 \, c^{2} d e^{3} x^{3} + c^{2} d^{4} + 2 \, a c d^{2} e^{2} + 15 \, a^{2} e^{4} + 21 \, {\left(c^{2} d^{2} e^{2} + 2 \, a c e^{4}\right)} x^{2} + 7 \, {\left(c^{2} d^{3} e + 2 \, a c d e^{3}\right)} x}{105 \, {\left(e^{12} x^{7} + 7 \, d e^{11} x^{6} + 21 \, d^{2} e^{10} x^{5} + 35 \, d^{3} e^{9} x^{4} + 35 \, d^{4} e^{8} x^{3} + 21 \, d^{5} e^{7} x^{2} + 7 \, d^{6} e^{6} x + d^{7} e^{5}\right)}}"," ",0,"-1/105*(35*c^2*e^4*x^4 + 35*c^2*d*e^3*x^3 + c^2*d^4 + 2*a*c*d^2*e^2 + 15*a^2*e^4 + 21*(c^2*d^2*e^2 + 2*a*c*e^4)*x^2 + 7*(c^2*d^3*e + 2*a*c*d*e^3)*x)/(e^12*x^7 + 7*d*e^11*x^6 + 21*d^2*e^10*x^5 + 35*d^3*e^9*x^4 + 35*d^4*e^8*x^3 + 21*d^5*e^7*x^2 + 7*d^6*e^6*x + d^7*e^5)","A",0
472,1,336,0,1.373959," ","integrate((e*x+d)^6*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{13} \, c^{3} e^{6} x^{13} + \frac{1}{2} \, c^{3} d e^{5} x^{12} + \frac{3}{11} \, {\left(5 \, c^{3} d^{2} e^{4} + a c^{2} e^{6}\right)} x^{11} + 3 \, a^{3} d^{5} e x^{2} + \frac{1}{5} \, {\left(10 \, c^{3} d^{3} e^{3} + 9 \, a c^{2} d e^{5}\right)} x^{10} + a^{3} d^{6} x + \frac{1}{3} \, {\left(5 \, c^{3} d^{4} e^{2} + 15 \, a c^{2} d^{2} e^{4} + a^{2} c e^{6}\right)} x^{9} + \frac{3}{4} \, {\left(c^{3} d^{5} e + 10 \, a c^{2} d^{3} e^{3} + 3 \, a^{2} c d e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(c^{3} d^{6} + 45 \, a c^{2} d^{4} e^{2} + 45 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)} x^{7} + {\left(3 \, a c^{2} d^{5} e + 10 \, a^{2} c d^{3} e^{3} + a^{3} d e^{5}\right)} x^{6} + \frac{3}{5} \, {\left(a c^{2} d^{6} + 15 \, a^{2} c d^{4} e^{2} + 5 \, a^{3} d^{2} e^{4}\right)} x^{5} + \frac{1}{2} \, {\left(9 \, a^{2} c d^{5} e + 10 \, a^{3} d^{3} e^{3}\right)} x^{4} + {\left(a^{2} c d^{6} + 5 \, a^{3} d^{4} e^{2}\right)} x^{3}"," ",0,"1/13*c^3*e^6*x^13 + 1/2*c^3*d*e^5*x^12 + 3/11*(5*c^3*d^2*e^4 + a*c^2*e^6)*x^11 + 3*a^3*d^5*e*x^2 + 1/5*(10*c^3*d^3*e^3 + 9*a*c^2*d*e^5)*x^10 + a^3*d^6*x + 1/3*(5*c^3*d^4*e^2 + 15*a*c^2*d^2*e^4 + a^2*c*e^6)*x^9 + 3/4*(c^3*d^5*e + 10*a*c^2*d^3*e^3 + 3*a^2*c*d*e^5)*x^8 + 1/7*(c^3*d^6 + 45*a*c^2*d^4*e^2 + 45*a^2*c*d^2*e^4 + a^3*e^6)*x^7 + (3*a*c^2*d^5*e + 10*a^2*c*d^3*e^3 + a^3*d*e^5)*x^6 + 3/5*(a*c^2*d^6 + 15*a^2*c*d^4*e^2 + 5*a^3*d^2*e^4)*x^5 + 1/2*(9*a^2*c*d^5*e + 10*a^3*d^3*e^3)*x^4 + (a^2*c*d^6 + 5*a^3*d^4*e^2)*x^3","A",0
473,1,292,0,1.320294," ","integrate((e*x+d)^5*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{12} \, c^{3} e^{5} x^{12} + \frac{5}{11} \, c^{3} d e^{4} x^{11} + \frac{1}{10} \, {\left(10 \, c^{3} d^{2} e^{3} + 3 \, a c^{2} e^{5}\right)} x^{10} + \frac{5}{2} \, a^{3} d^{4} e x^{2} + \frac{5}{9} \, {\left(2 \, c^{3} d^{3} e^{2} + 3 \, a c^{2} d e^{4}\right)} x^{9} + a^{3} d^{5} x + \frac{1}{8} \, {\left(5 \, c^{3} d^{4} e + 30 \, a c^{2} d^{2} e^{3} + 3 \, a^{2} c e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(c^{3} d^{5} + 30 \, a c^{2} d^{3} e^{2} + 15 \, a^{2} c d e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(15 \, a c^{2} d^{4} e + 30 \, a^{2} c d^{2} e^{3} + a^{3} e^{5}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, a c^{2} d^{5} + 30 \, a^{2} c d^{3} e^{2} + 5 \, a^{3} d e^{4}\right)} x^{5} + \frac{5}{4} \, {\left(3 \, a^{2} c d^{4} e + 2 \, a^{3} d^{2} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, a^{2} c d^{5} + 10 \, a^{3} d^{3} e^{2}\right)} x^{3}"," ",0,"1/12*c^3*e^5*x^12 + 5/11*c^3*d*e^4*x^11 + 1/10*(10*c^3*d^2*e^3 + 3*a*c^2*e^5)*x^10 + 5/2*a^3*d^4*e*x^2 + 5/9*(2*c^3*d^3*e^2 + 3*a*c^2*d*e^4)*x^9 + a^3*d^5*x + 1/8*(5*c^3*d^4*e + 30*a*c^2*d^2*e^3 + 3*a^2*c*e^5)*x^8 + 1/7*(c^3*d^5 + 30*a*c^2*d^3*e^2 + 15*a^2*c*d*e^4)*x^7 + 1/6*(15*a*c^2*d^4*e + 30*a^2*c*d^2*e^3 + a^3*e^5)*x^6 + 1/5*(3*a*c^2*d^5 + 30*a^2*c*d^3*e^2 + 5*a^3*d*e^4)*x^5 + 5/4*(3*a^2*c*d^4*e + 2*a^3*d^2*e^3)*x^4 + 1/3*(3*a^2*c*d^5 + 10*a^3*d^3*e^2)*x^3","A",0
474,1,232,0,1.412606," ","integrate((e*x+d)^4*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{11} \, c^{3} e^{4} x^{11} + \frac{2}{5} \, c^{3} d e^{3} x^{10} + \frac{1}{3} \, {\left(2 \, c^{3} d^{2} e^{2} + a c^{2} e^{4}\right)} x^{9} + 2 \, a^{3} d^{3} e x^{2} + \frac{1}{2} \, {\left(c^{3} d^{3} e + 3 \, a c^{2} d e^{3}\right)} x^{8} + a^{3} d^{4} x + \frac{1}{7} \, {\left(c^{3} d^{4} + 18 \, a c^{2} d^{2} e^{2} + 3 \, a^{2} c e^{4}\right)} x^{7} + 2 \, {\left(a c^{2} d^{3} e + a^{2} c d e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, a c^{2} d^{4} + 18 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}\right)} x^{5} + {\left(3 \, a^{2} c d^{3} e + a^{3} d e^{3}\right)} x^{4} + {\left(a^{2} c d^{4} + 2 \, a^{3} d^{2} e^{2}\right)} x^{3}"," ",0,"1/11*c^3*e^4*x^11 + 2/5*c^3*d*e^3*x^10 + 1/3*(2*c^3*d^2*e^2 + a*c^2*e^4)*x^9 + 2*a^3*d^3*e*x^2 + 1/2*(c^3*d^3*e + 3*a*c^2*d*e^3)*x^8 + a^3*d^4*x + 1/7*(c^3*d^4 + 18*a*c^2*d^2*e^2 + 3*a^2*c*e^4)*x^7 + 2*(a*c^2*d^3*e + a^2*c*d*e^3)*x^6 + 1/5*(3*a*c^2*d^4 + 18*a^2*c*d^2*e^2 + a^3*e^4)*x^5 + (3*a^2*c*d^3*e + a^3*d*e^3)*x^4 + (a^2*c*d^4 + 2*a^3*d^2*e^2)*x^3","A",0
475,1,181,0,1.222183," ","integrate((e*x+d)^3*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{10} \, c^{3} e^{3} x^{10} + \frac{1}{3} \, c^{3} d e^{2} x^{9} + \frac{3}{8} \, {\left(c^{3} d^{2} e + a c^{2} e^{3}\right)} x^{8} + \frac{3}{2} \, a^{3} d^{2} e x^{2} + \frac{1}{7} \, {\left(c^{3} d^{3} + 9 \, a c^{2} d e^{2}\right)} x^{7} + a^{3} d^{3} x + \frac{1}{2} \, {\left(3 \, a c^{2} d^{2} e + a^{2} c e^{3}\right)} x^{6} + \frac{3}{5} \, {\left(a c^{2} d^{3} + 3 \, a^{2} c d e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(9 \, a^{2} c d^{2} e + a^{3} e^{3}\right)} x^{4} + {\left(a^{2} c d^{3} + a^{3} d e^{2}\right)} x^{3}"," ",0,"1/10*c^3*e^3*x^10 + 1/3*c^3*d*e^2*x^9 + 3/8*(c^3*d^2*e + a*c^2*e^3)*x^8 + 3/2*a^3*d^2*e*x^2 + 1/7*(c^3*d^3 + 9*a*c^2*d*e^2)*x^7 + a^3*d^3*x + 1/2*(3*a*c^2*d^2*e + a^2*c*e^3)*x^6 + 3/5*(a*c^2*d^3 + 3*a^2*c*d*e^2)*x^5 + 1/4*(9*a^2*c*d^2*e + a^3*e^3)*x^4 + (a^2*c*d^3 + a^3*d*e^2)*x^3","A",0
476,1,126,0,1.323811," ","integrate((e*x+d)^2*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{9} \, c^{3} e^{2} x^{9} + \frac{1}{4} \, c^{3} d e x^{8} + a c^{2} d e x^{6} + \frac{3}{2} \, a^{2} c d e x^{4} + \frac{1}{7} \, {\left(c^{3} d^{2} + 3 \, a c^{2} e^{2}\right)} x^{7} + a^{3} d e x^{2} + a^{3} d^{2} x + \frac{3}{5} \, {\left(a c^{2} d^{2} + a^{2} c e^{2}\right)} x^{5} + \frac{1}{3} \, {\left(3 \, a^{2} c d^{2} + a^{3} e^{2}\right)} x^{3}"," ",0,"1/9*c^3*e^2*x^9 + 1/4*c^3*d*e*x^8 + a*c^2*d*e*x^6 + 3/2*a^2*c*d*e*x^4 + 1/7*(c^3*d^2 + 3*a*c^2*e^2)*x^7 + a^3*d*e*x^2 + a^3*d^2*x + 3/5*(a*c^2*d^2 + a^2*c*e^2)*x^5 + 1/3*(3*a^2*c*d^2 + a^3*e^2)*x^3","A",0
477,1,73,0,1.302230," ","integrate((e*x+d)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{8} \, c^{3} e x^{8} + \frac{1}{7} \, c^{3} d x^{7} + \frac{1}{2} \, a c^{2} e x^{6} + \frac{3}{5} \, a c^{2} d x^{5} + \frac{3}{4} \, a^{2} c e x^{4} + a^{2} c d x^{3} + \frac{1}{2} \, a^{3} e x^{2} + a^{3} d x"," ",0,"1/8*c^3*e*x^8 + 1/7*c^3*d*x^7 + 1/2*a*c^2*e*x^6 + 3/5*a*c^2*d*x^5 + 3/4*a^2*c*e*x^4 + a^2*c*d*x^3 + 1/2*a^3*e*x^2 + a^3*d*x","A",0
478,1,198,0,1.351381," ","integrate((c*x^2+a)^3/(e*x+d),x, algorithm=""maxima"")","\frac{10 \, c^{3} e^{5} x^{6} - 12 \, c^{3} d e^{4} x^{5} + 15 \, {\left(c^{3} d^{2} e^{3} + 3 \, a c^{2} e^{5}\right)} x^{4} - 20 \, {\left(c^{3} d^{3} e^{2} + 3 \, a c^{2} d e^{4}\right)} x^{3} + 30 \, {\left(c^{3} d^{4} e + 3 \, a c^{2} d^{2} e^{3} + 3 \, a^{2} c e^{5}\right)} x^{2} - 60 \, {\left(c^{3} d^{5} + 3 \, a c^{2} d^{3} e^{2} + 3 \, a^{2} c d e^{4}\right)} x}{60 \, e^{6}} + \frac{{\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/60*(10*c^3*e^5*x^6 - 12*c^3*d*e^4*x^5 + 15*(c^3*d^2*e^3 + 3*a*c^2*e^5)*x^4 - 20*(c^3*d^3*e^2 + 3*a*c^2*d*e^4)*x^3 + 30*(c^3*d^4*e + 3*a*c^2*d^2*e^3 + 3*a^2*c*e^5)*x^2 - 60*(c^3*d^5 + 3*a*c^2*d^3*e^2 + 3*a^2*c*d*e^4)*x)/e^6 + (c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6)*log(e*x + d)/e^7","A",0
479,1,206,0,1.327742," ","integrate((c*x^2+a)^3/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}}{e^{8} x + d e^{7}} + \frac{2 \, c^{3} e^{4} x^{5} - 5 \, c^{3} d e^{3} x^{4} + 10 \, {\left(c^{3} d^{2} e^{2} + a c^{2} e^{4}\right)} x^{3} - 10 \, {\left(2 \, c^{3} d^{3} e + 3 \, a c^{2} d e^{3}\right)} x^{2} + 10 \, {\left(5 \, c^{3} d^{4} + 9 \, a c^{2} d^{2} e^{2} + 3 \, a^{2} c e^{4}\right)} x}{10 \, e^{6}} - \frac{6 \, {\left(c^{3} d^{5} + 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6)/(e^8*x + d*e^7) + 1/10*(2*c^3*e^4*x^5 - 5*c^3*d*e^3*x^4 + 10*(c^3*d^2*e^2 + a*c^2*e^4)*x^3 - 10*(2*c^3*d^3*e + 3*a*c^2*d*e^3)*x^2 + 10*(5*c^3*d^4 + 9*a*c^2*d^2*e^2 + 3*a^2*c*e^4)*x)/e^6 - 6*(c^3*d^5 + 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*log(e*x + d)/e^7","A",0
480,1,214,0,1.408888," ","integrate((c*x^2+a)^3/(e*x+d)^3,x, algorithm=""maxima"")","\frac{11 \, c^{3} d^{6} + 21 \, a c^{2} d^{4} e^{2} + 9 \, a^{2} c d^{2} e^{4} - a^{3} e^{6} + 12 \, {\left(c^{3} d^{5} e + 2 \, a c^{2} d^{3} e^{3} + a^{2} c d e^{5}\right)} x}{2 \, {\left(e^{9} x^{2} + 2 \, d e^{8} x + d^{2} e^{7}\right)}} + \frac{c^{3} e^{3} x^{4} - 4 \, c^{3} d e^{2} x^{3} + 6 \, {\left(2 \, c^{3} d^{2} e + a c^{2} e^{3}\right)} x^{2} - 4 \, {\left(10 \, c^{3} d^{3} + 9 \, a c^{2} d e^{2}\right)} x}{4 \, e^{6}} + \frac{3 \, {\left(5 \, c^{3} d^{4} + 6 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/2*(11*c^3*d^6 + 21*a*c^2*d^4*e^2 + 9*a^2*c*d^2*e^4 - a^3*e^6 + 12*(c^3*d^5*e + 2*a*c^2*d^3*e^3 + a^2*c*d*e^5)*x)/(e^9*x^2 + 2*d*e^8*x + d^2*e^7) + 1/4*(c^3*e^3*x^4 - 4*c^3*d*e^2*x^3 + 6*(2*c^3*d^2*e + a*c^2*e^3)*x^2 - 4*(10*c^3*d^3 + 9*a*c^2*d*e^2)*x)/e^6 + 3*(5*c^3*d^4 + 6*a*c^2*d^2*e^2 + a^2*c*e^4)*log(e*x + d)/e^7","A",0
481,1,226,0,1.446749," ","integrate((c*x^2+a)^3/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{37 \, c^{3} d^{6} + 39 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6} + 9 \, {\left(5 \, c^{3} d^{4} e^{2} + 6 \, a c^{2} d^{2} e^{4} + a^{2} c e^{6}\right)} x^{2} + 9 \, {\left(9 \, c^{3} d^{5} e + 10 \, a c^{2} d^{3} e^{3} + a^{2} c d e^{5}\right)} x}{3 \, {\left(e^{10} x^{3} + 3 \, d e^{9} x^{2} + 3 \, d^{2} e^{8} x + d^{3} e^{7}\right)}} + \frac{c^{3} e^{2} x^{3} - 6 \, c^{3} d e x^{2} + 3 \, {\left(10 \, c^{3} d^{2} + 3 \, a c^{2} e^{2}\right)} x}{3 \, e^{6}} - \frac{4 \, {\left(5 \, c^{3} d^{3} + 3 \, a c^{2} d e^{2}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-1/3*(37*c^3*d^6 + 39*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6 + 9*(5*c^3*d^4*e^2 + 6*a*c^2*d^2*e^4 + a^2*c*e^6)*x^2 + 9*(9*c^3*d^5*e + 10*a*c^2*d^3*e^3 + a^2*c*d*e^5)*x)/(e^10*x^3 + 3*d*e^9*x^2 + 3*d^2*e^8*x + d^3*e^7) + 1/3*(c^3*e^2*x^3 - 6*c^3*d*e*x^2 + 3*(10*c^3*d^2 + 3*a*c^2*e^2)*x)/e^6 - 4*(5*c^3*d^3 + 3*a*c^2*d*e^2)*log(e*x + d)/e^7","A",0
482,1,239,0,1.466287," ","integrate((c*x^2+a)^3/(e*x+d)^5,x, algorithm=""maxima"")","\frac{57 \, c^{3} d^{6} + 25 \, a c^{2} d^{4} e^{2} - a^{2} c d^{2} e^{4} - a^{3} e^{6} + 16 \, {\left(5 \, c^{3} d^{3} e^{3} + 3 \, a c^{2} d e^{5}\right)} x^{3} + 6 \, {\left(35 \, c^{3} d^{4} e^{2} + 18 \, a c^{2} d^{2} e^{4} - a^{2} c e^{6}\right)} x^{2} + 4 \, {\left(47 \, c^{3} d^{5} e + 22 \, a c^{2} d^{3} e^{3} - a^{2} c d e^{5}\right)} x}{4 \, {\left(e^{11} x^{4} + 4 \, d e^{10} x^{3} + 6 \, d^{2} e^{9} x^{2} + 4 \, d^{3} e^{8} x + d^{4} e^{7}\right)}} + \frac{c^{3} e x^{2} - 10 \, c^{3} d x}{2 \, e^{6}} + \frac{3 \, {\left(5 \, c^{3} d^{2} + a c^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/4*(57*c^3*d^6 + 25*a*c^2*d^4*e^2 - a^2*c*d^2*e^4 - a^3*e^6 + 16*(5*c^3*d^3*e^3 + 3*a*c^2*d*e^5)*x^3 + 6*(35*c^3*d^4*e^2 + 18*a*c^2*d^2*e^4 - a^2*c*e^6)*x^2 + 4*(47*c^3*d^5*e + 22*a*c^2*d^3*e^3 - a^2*c*d*e^5)*x)/(e^11*x^4 + 4*d*e^10*x^3 + 6*d^2*e^9*x^2 + 4*d^3*e^8*x + d^4*e^7) + 1/2*(c^3*e*x^2 - 10*c^3*d*x)/e^6 + 3*(5*c^3*d^2 + a*c^2*e^2)*log(e*x + d)/e^7","A",0
483,1,246,0,1.515030," ","integrate((c*x^2+a)^3/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{87 \, c^{3} d^{6} + 6 \, a c^{2} d^{4} e^{2} + a^{2} c d^{2} e^{4} + 2 \, a^{3} e^{6} + 30 \, {\left(5 \, c^{3} d^{2} e^{4} + a c^{2} e^{6}\right)} x^{4} + 20 \, {\left(25 \, c^{3} d^{3} e^{3} + 3 \, a c^{2} d e^{5}\right)} x^{3} + 10 \, {\left(65 \, c^{3} d^{4} e^{2} + 6 \, a c^{2} d^{2} e^{4} + a^{2} c e^{6}\right)} x^{2} + 5 \, {\left(77 \, c^{3} d^{5} e + 6 \, a c^{2} d^{3} e^{3} + a^{2} c d e^{5}\right)} x}{10 \, {\left(e^{12} x^{5} + 5 \, d e^{11} x^{4} + 10 \, d^{2} e^{10} x^{3} + 10 \, d^{3} e^{9} x^{2} + 5 \, d^{4} e^{8} x + d^{5} e^{7}\right)}} + \frac{c^{3} x}{e^{6}} - \frac{6 \, c^{3} d \log\left(e x + d\right)}{e^{7}}"," ",0,"-1/10*(87*c^3*d^6 + 6*a*c^2*d^4*e^2 + a^2*c*d^2*e^4 + 2*a^3*e^6 + 30*(5*c^3*d^2*e^4 + a*c^2*e^6)*x^4 + 20*(25*c^3*d^3*e^3 + 3*a*c^2*d*e^5)*x^3 + 10*(65*c^3*d^4*e^2 + 6*a*c^2*d^2*e^4 + a^2*c*e^6)*x^2 + 5*(77*c^3*d^5*e + 6*a*c^2*d^3*e^3 + a^2*c*d*e^5)*x)/(e^12*x^5 + 5*d*e^11*x^4 + 10*d^2*e^10*x^3 + 10*d^3*e^9*x^2 + 5*d^4*e^8*x + d^5*e^7) + c^3*x/e^6 - 6*c^3*d*log(e*x + d)/e^7","A",0
484,1,263,0,1.516747," ","integrate((c*x^2+a)^3/(e*x+d)^7,x, algorithm=""maxima"")","\frac{360 \, c^{3} d e^{5} x^{5} + 147 \, c^{3} d^{6} - 6 \, a c^{2} d^{4} e^{2} - 3 \, a^{2} c d^{2} e^{4} - 10 \, a^{3} e^{6} + 90 \, {\left(15 \, c^{3} d^{2} e^{4} - a c^{2} e^{6}\right)} x^{4} + 40 \, {\left(55 \, c^{3} d^{3} e^{3} - 3 \, a c^{2} d e^{5}\right)} x^{3} + 15 \, {\left(125 \, c^{3} d^{4} e^{2} - 6 \, a c^{2} d^{2} e^{4} - 3 \, a^{2} c e^{6}\right)} x^{2} + 6 \, {\left(137 \, c^{3} d^{5} e - 6 \, a c^{2} d^{3} e^{3} - 3 \, a^{2} c d e^{5}\right)} x}{60 \, {\left(e^{13} x^{6} + 6 \, d e^{12} x^{5} + 15 \, d^{2} e^{11} x^{4} + 20 \, d^{3} e^{10} x^{3} + 15 \, d^{4} e^{9} x^{2} + 6 \, d^{5} e^{8} x + d^{6} e^{7}\right)}} + \frac{c^{3} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/60*(360*c^3*d*e^5*x^5 + 147*c^3*d^6 - 6*a*c^2*d^4*e^2 - 3*a^2*c*d^2*e^4 - 10*a^3*e^6 + 90*(15*c^3*d^2*e^4 - a*c^2*e^6)*x^4 + 40*(55*c^3*d^3*e^3 - 3*a*c^2*d*e^5)*x^3 + 15*(125*c^3*d^4*e^2 - 6*a*c^2*d^2*e^4 - 3*a^2*c*e^6)*x^2 + 6*(137*c^3*d^5*e - 6*a*c^2*d^3*e^3 - 3*a^2*c*d*e^5)*x)/(e^13*x^6 + 6*d*e^12*x^5 + 15*d^2*e^11*x^4 + 20*d^3*e^10*x^3 + 15*d^4*e^9*x^2 + 6*d^5*e^8*x + d^6*e^7) + c^3*log(e*x + d)/e^7","A",0
485,1,263,0,1.549104," ","integrate((c*x^2+a)^3/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{35 \, c^{3} e^{6} x^{6} + 105 \, c^{3} d e^{5} x^{5} + 5 \, c^{3} d^{6} + a c^{2} d^{4} e^{2} + a^{2} c d^{2} e^{4} + 5 \, a^{3} e^{6} + 35 \, {\left(5 \, c^{3} d^{2} e^{4} + a c^{2} e^{6}\right)} x^{4} + 35 \, {\left(5 \, c^{3} d^{3} e^{3} + a c^{2} d e^{5}\right)} x^{3} + 21 \, {\left(5 \, c^{3} d^{4} e^{2} + a c^{2} d^{2} e^{4} + a^{2} c e^{6}\right)} x^{2} + 7 \, {\left(5 \, c^{3} d^{5} e + a c^{2} d^{3} e^{3} + a^{2} c d e^{5}\right)} x}{35 \, {\left(e^{14} x^{7} + 7 \, d e^{13} x^{6} + 21 \, d^{2} e^{12} x^{5} + 35 \, d^{3} e^{11} x^{4} + 35 \, d^{4} e^{10} x^{3} + 21 \, d^{5} e^{9} x^{2} + 7 \, d^{6} e^{8} x + d^{7} e^{7}\right)}}"," ",0,"-1/35*(35*c^3*e^6*x^6 + 105*c^3*d*e^5*x^5 + 5*c^3*d^6 + a*c^2*d^4*e^2 + a^2*c*d^2*e^4 + 5*a^3*e^6 + 35*(5*c^3*d^2*e^4 + a*c^2*e^6)*x^4 + 35*(5*c^3*d^3*e^3 + a*c^2*d*e^5)*x^3 + 21*(5*c^3*d^4*e^2 + a*c^2*d^2*e^4 + a^2*c*e^6)*x^2 + 7*(5*c^3*d^5*e + a*c^2*d^3*e^3 + a^2*c*d*e^5)*x)/(e^14*x^7 + 7*d*e^13*x^6 + 21*d^2*e^12*x^5 + 35*d^3*e^11*x^4 + 35*d^4*e^10*x^3 + 21*d^5*e^9*x^2 + 7*d^6*e^8*x + d^7*e^7)","A",0
486,1,282,0,1.515330," ","integrate((c*x^2+a)^3/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{140 \, c^{3} e^{6} x^{6} + 280 \, c^{3} d e^{5} x^{5} + 5 \, c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 5 \, a^{2} c d^{2} e^{4} + 35 \, a^{3} e^{6} + 70 \, {\left(5 \, c^{3} d^{2} e^{4} + 3 \, a c^{2} e^{6}\right)} x^{4} + 56 \, {\left(5 \, c^{3} d^{3} e^{3} + 3 \, a c^{2} d e^{5}\right)} x^{3} + 28 \, {\left(5 \, c^{3} d^{4} e^{2} + 3 \, a c^{2} d^{2} e^{4} + 5 \, a^{2} c e^{6}\right)} x^{2} + 8 \, {\left(5 \, c^{3} d^{5} e + 3 \, a c^{2} d^{3} e^{3} + 5 \, a^{2} c d e^{5}\right)} x}{280 \, {\left(e^{15} x^{8} + 8 \, d e^{14} x^{7} + 28 \, d^{2} e^{13} x^{6} + 56 \, d^{3} e^{12} x^{5} + 70 \, d^{4} e^{11} x^{4} + 56 \, d^{5} e^{10} x^{3} + 28 \, d^{6} e^{9} x^{2} + 8 \, d^{7} e^{8} x + d^{8} e^{7}\right)}}"," ",0,"-1/280*(140*c^3*e^6*x^6 + 280*c^3*d*e^5*x^5 + 5*c^3*d^6 + 3*a*c^2*d^4*e^2 + 5*a^2*c*d^2*e^4 + 35*a^3*e^6 + 70*(5*c^3*d^2*e^4 + 3*a*c^2*e^6)*x^4 + 56*(5*c^3*d^3*e^3 + 3*a*c^2*d*e^5)*x^3 + 28*(5*c^3*d^4*e^2 + 3*a*c^2*d^2*e^4 + 5*a^2*c*e^6)*x^2 + 8*(5*c^3*d^5*e + 3*a*c^2*d^3*e^3 + 5*a^2*c*d*e^5)*x)/(e^15*x^8 + 8*d*e^14*x^7 + 28*d^2*e^13*x^6 + 56*d^3*e^12*x^5 + 70*d^4*e^11*x^4 + 56*d^5*e^10*x^3 + 28*d^6*e^9*x^2 + 8*d^7*e^8*x + d^8*e^7)","A",0
487,1,293,0,1.586848," ","integrate((c*x^2+a)^3/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{420 \, c^{3} e^{6} x^{6} + 630 \, c^{3} d e^{5} x^{5} + 5 \, c^{3} d^{6} + 6 \, a c^{2} d^{4} e^{2} + 15 \, a^{2} c d^{2} e^{4} + 140 \, a^{3} e^{6} + 126 \, {\left(5 \, c^{3} d^{2} e^{4} + 6 \, a c^{2} e^{6}\right)} x^{4} + 84 \, {\left(5 \, c^{3} d^{3} e^{3} + 6 \, a c^{2} d e^{5}\right)} x^{3} + 36 \, {\left(5 \, c^{3} d^{4} e^{2} + 6 \, a c^{2} d^{2} e^{4} + 15 \, a^{2} c e^{6}\right)} x^{2} + 9 \, {\left(5 \, c^{3} d^{5} e + 6 \, a c^{2} d^{3} e^{3} + 15 \, a^{2} c d e^{5}\right)} x}{1260 \, {\left(e^{16} x^{9} + 9 \, d e^{15} x^{8} + 36 \, d^{2} e^{14} x^{7} + 84 \, d^{3} e^{13} x^{6} + 126 \, d^{4} e^{12} x^{5} + 126 \, d^{5} e^{11} x^{4} + 84 \, d^{6} e^{10} x^{3} + 36 \, d^{7} e^{9} x^{2} + 9 \, d^{8} e^{8} x + d^{9} e^{7}\right)}}"," ",0,"-1/1260*(420*c^3*e^6*x^6 + 630*c^3*d*e^5*x^5 + 5*c^3*d^6 + 6*a*c^2*d^4*e^2 + 15*a^2*c*d^2*e^4 + 140*a^3*e^6 + 126*(5*c^3*d^2*e^4 + 6*a*c^2*e^6)*x^4 + 84*(5*c^3*d^3*e^3 + 6*a*c^2*d*e^5)*x^3 + 36*(5*c^3*d^4*e^2 + 6*a*c^2*d^2*e^4 + 15*a^2*c*e^6)*x^2 + 9*(5*c^3*d^5*e + 6*a*c^2*d^3*e^3 + 15*a^2*c*d*e^5)*x)/(e^16*x^9 + 9*d*e^15*x^8 + 36*d^2*e^14*x^7 + 84*d^3*e^13*x^6 + 126*d^4*e^12*x^5 + 126*d^5*e^11*x^4 + 84*d^6*e^10*x^3 + 36*d^7*e^9*x^2 + 9*d^8*e^8*x + d^9*e^7)","A",0
488,1,510,0,1.379483," ","integrate((e*x+d)^7*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{16} \, c^{4} e^{7} x^{16} + \frac{7}{15} \, c^{4} d e^{6} x^{15} + \frac{1}{14} \, {\left(21 \, c^{4} d^{2} e^{5} + 4 \, a c^{3} e^{7}\right)} x^{14} + \frac{7}{13} \, {\left(5 \, c^{4} d^{3} e^{4} + 4 \, a c^{3} d e^{6}\right)} x^{13} + \frac{7}{2} \, a^{4} d^{6} e x^{2} + \frac{1}{12} \, {\left(35 \, c^{4} d^{4} e^{3} + 84 \, a c^{3} d^{2} e^{5} + 6 \, a^{2} c^{2} e^{7}\right)} x^{12} + a^{4} d^{7} x + \frac{7}{11} \, {\left(3 \, c^{4} d^{5} e^{2} + 20 \, a c^{3} d^{3} e^{4} + 6 \, a^{2} c^{2} d e^{6}\right)} x^{11} + \frac{1}{10} \, {\left(7 \, c^{4} d^{6} e + 140 \, a c^{3} d^{4} e^{3} + 126 \, a^{2} c^{2} d^{2} e^{5} + 4 \, a^{3} c e^{7}\right)} x^{10} + \frac{1}{9} \, {\left(c^{4} d^{7} + 84 \, a c^{3} d^{5} e^{2} + 210 \, a^{2} c^{2} d^{3} e^{4} + 28 \, a^{3} c d e^{6}\right)} x^{9} + \frac{1}{8} \, {\left(28 \, a c^{3} d^{6} e + 210 \, a^{2} c^{2} d^{4} e^{3} + 84 \, a^{3} c d^{2} e^{5} + a^{4} e^{7}\right)} x^{8} + \frac{1}{7} \, {\left(4 \, a c^{3} d^{7} + 126 \, a^{2} c^{2} d^{5} e^{2} + 140 \, a^{3} c d^{3} e^{4} + 7 \, a^{4} d e^{6}\right)} x^{7} + \frac{7}{6} \, {\left(6 \, a^{2} c^{2} d^{6} e + 20 \, a^{3} c d^{4} e^{3} + 3 \, a^{4} d^{2} e^{5}\right)} x^{6} + \frac{1}{5} \, {\left(6 \, a^{2} c^{2} d^{7} + 84 \, a^{3} c d^{5} e^{2} + 35 \, a^{4} d^{3} e^{4}\right)} x^{5} + \frac{7}{4} \, {\left(4 \, a^{3} c d^{6} e + 5 \, a^{4} d^{4} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(4 \, a^{3} c d^{7} + 21 \, a^{4} d^{5} e^{2}\right)} x^{3}"," ",0,"1/16*c^4*e^7*x^16 + 7/15*c^4*d*e^6*x^15 + 1/14*(21*c^4*d^2*e^5 + 4*a*c^3*e^7)*x^14 + 7/13*(5*c^4*d^3*e^4 + 4*a*c^3*d*e^6)*x^13 + 7/2*a^4*d^6*e*x^2 + 1/12*(35*c^4*d^4*e^3 + 84*a*c^3*d^2*e^5 + 6*a^2*c^2*e^7)*x^12 + a^4*d^7*x + 7/11*(3*c^4*d^5*e^2 + 20*a*c^3*d^3*e^4 + 6*a^2*c^2*d*e^6)*x^11 + 1/10*(7*c^4*d^6*e + 140*a*c^3*d^4*e^3 + 126*a^2*c^2*d^2*e^5 + 4*a^3*c*e^7)*x^10 + 1/9*(c^4*d^7 + 84*a*c^3*d^5*e^2 + 210*a^2*c^2*d^3*e^4 + 28*a^3*c*d*e^6)*x^9 + 1/8*(28*a*c^3*d^6*e + 210*a^2*c^2*d^4*e^3 + 84*a^3*c*d^2*e^5 + a^4*e^7)*x^8 + 1/7*(4*a*c^3*d^7 + 126*a^2*c^2*d^5*e^2 + 140*a^3*c*d^3*e^4 + 7*a^4*d*e^6)*x^7 + 7/6*(6*a^2*c^2*d^6*e + 20*a^3*c*d^4*e^3 + 3*a^4*d^2*e^5)*x^6 + 1/5*(6*a^2*c^2*d^7 + 84*a^3*c*d^5*e^2 + 35*a^4*d^3*e^4)*x^5 + 7/4*(4*a^3*c*d^6*e + 5*a^4*d^4*e^3)*x^4 + 1/3*(4*a^3*c*d^7 + 21*a^4*d^5*e^2)*x^3","A",0
489,1,441,0,1.417061," ","integrate((e*x+d)^6*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{15} \, c^{4} e^{6} x^{15} + \frac{3}{7} \, c^{4} d e^{5} x^{14} + \frac{1}{13} \, {\left(15 \, c^{4} d^{2} e^{4} + 4 \, a c^{3} e^{6}\right)} x^{13} + \frac{1}{3} \, {\left(5 \, c^{4} d^{3} e^{3} + 6 \, a c^{3} d e^{5}\right)} x^{12} + 3 \, a^{4} d^{5} e x^{2} + \frac{3}{11} \, {\left(5 \, c^{4} d^{4} e^{2} + 20 \, a c^{3} d^{2} e^{4} + 2 \, a^{2} c^{2} e^{6}\right)} x^{11} + a^{4} d^{6} x + \frac{1}{5} \, {\left(3 \, c^{4} d^{5} e + 40 \, a c^{3} d^{3} e^{3} + 18 \, a^{2} c^{2} d e^{5}\right)} x^{10} + \frac{1}{9} \, {\left(c^{4} d^{6} + 60 \, a c^{3} d^{4} e^{2} + 90 \, a^{2} c^{2} d^{2} e^{4} + 4 \, a^{3} c e^{6}\right)} x^{9} + 3 \, {\left(a c^{3} d^{5} e + 5 \, a^{2} c^{2} d^{3} e^{3} + a^{3} c d e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(4 \, a c^{3} d^{6} + 90 \, a^{2} c^{2} d^{4} e^{2} + 60 \, a^{3} c d^{2} e^{4} + a^{4} e^{6}\right)} x^{7} + \frac{1}{3} \, {\left(18 \, a^{2} c^{2} d^{5} e + 40 \, a^{3} c d^{3} e^{3} + 3 \, a^{4} d e^{5}\right)} x^{6} + \frac{3}{5} \, {\left(2 \, a^{2} c^{2} d^{6} + 20 \, a^{3} c d^{4} e^{2} + 5 \, a^{4} d^{2} e^{4}\right)} x^{5} + {\left(6 \, a^{3} c d^{5} e + 5 \, a^{4} d^{3} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(4 \, a^{3} c d^{6} + 15 \, a^{4} d^{4} e^{2}\right)} x^{3}"," ",0,"1/15*c^4*e^6*x^15 + 3/7*c^4*d*e^5*x^14 + 1/13*(15*c^4*d^2*e^4 + 4*a*c^3*e^6)*x^13 + 1/3*(5*c^4*d^3*e^3 + 6*a*c^3*d*e^5)*x^12 + 3*a^4*d^5*e*x^2 + 3/11*(5*c^4*d^4*e^2 + 20*a*c^3*d^2*e^4 + 2*a^2*c^2*e^6)*x^11 + a^4*d^6*x + 1/5*(3*c^4*d^5*e + 40*a*c^3*d^3*e^3 + 18*a^2*c^2*d*e^5)*x^10 + 1/9*(c^4*d^6 + 60*a*c^3*d^4*e^2 + 90*a^2*c^2*d^2*e^4 + 4*a^3*c*e^6)*x^9 + 3*(a*c^3*d^5*e + 5*a^2*c^2*d^3*e^3 + a^3*c*d*e^5)*x^8 + 1/7*(4*a*c^3*d^6 + 90*a^2*c^2*d^4*e^2 + 60*a^3*c*d^2*e^4 + a^4*e^6)*x^7 + 1/3*(18*a^2*c^2*d^5*e + 40*a^3*c*d^3*e^3 + 3*a^4*d*e^5)*x^6 + 3/5*(2*a^2*c^2*d^6 + 20*a^3*c*d^4*e^2 + 5*a^4*d^2*e^4)*x^5 + (6*a^3*c*d^5*e + 5*a^4*d^3*e^3)*x^4 + 1/3*(4*a^3*c*d^6 + 15*a^4*d^4*e^2)*x^3","A",0
490,1,374,0,1.354629," ","integrate((e*x+d)^5*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{14} \, c^{4} e^{5} x^{14} + \frac{5}{13} \, c^{4} d e^{4} x^{13} + \frac{1}{6} \, {\left(5 \, c^{4} d^{2} e^{3} + 2 \, a c^{3} e^{5}\right)} x^{12} + \frac{10}{11} \, {\left(c^{4} d^{3} e^{2} + 2 \, a c^{3} d e^{4}\right)} x^{11} + \frac{5}{2} \, a^{4} d^{4} e x^{2} + \frac{1}{10} \, {\left(5 \, c^{4} d^{4} e + 40 \, a c^{3} d^{2} e^{3} + 6 \, a^{2} c^{2} e^{5}\right)} x^{10} + a^{4} d^{5} x + \frac{1}{9} \, {\left(c^{4} d^{5} + 40 \, a c^{3} d^{3} e^{2} + 30 \, a^{2} c^{2} d e^{4}\right)} x^{9} + \frac{1}{2} \, {\left(5 \, a c^{3} d^{4} e + 15 \, a^{2} c^{2} d^{2} e^{3} + a^{3} c e^{5}\right)} x^{8} + \frac{4}{7} \, {\left(a c^{3} d^{5} + 15 \, a^{2} c^{2} d^{3} e^{2} + 5 \, a^{3} c d e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(30 \, a^{2} c^{2} d^{4} e + 40 \, a^{3} c d^{2} e^{3} + a^{4} e^{5}\right)} x^{6} + \frac{1}{5} \, {\left(6 \, a^{2} c^{2} d^{5} + 40 \, a^{3} c d^{3} e^{2} + 5 \, a^{4} d e^{4}\right)} x^{5} + \frac{5}{2} \, {\left(2 \, a^{3} c d^{4} e + a^{4} d^{2} e^{3}\right)} x^{4} + \frac{2}{3} \, {\left(2 \, a^{3} c d^{5} + 5 \, a^{4} d^{3} e^{2}\right)} x^{3}"," ",0,"1/14*c^4*e^5*x^14 + 5/13*c^4*d*e^4*x^13 + 1/6*(5*c^4*d^2*e^3 + 2*a*c^3*e^5)*x^12 + 10/11*(c^4*d^3*e^2 + 2*a*c^3*d*e^4)*x^11 + 5/2*a^4*d^4*e*x^2 + 1/10*(5*c^4*d^4*e + 40*a*c^3*d^2*e^3 + 6*a^2*c^2*e^5)*x^10 + a^4*d^5*x + 1/9*(c^4*d^5 + 40*a*c^3*d^3*e^2 + 30*a^2*c^2*d*e^4)*x^9 + 1/2*(5*a*c^3*d^4*e + 15*a^2*c^2*d^2*e^3 + a^3*c*e^5)*x^8 + 4/7*(a*c^3*d^5 + 15*a^2*c^2*d^3*e^2 + 5*a^3*c*d*e^4)*x^7 + 1/6*(30*a^2*c^2*d^4*e + 40*a^3*c*d^2*e^3 + a^4*e^5)*x^6 + 1/5*(6*a^2*c^2*d^5 + 40*a^3*c*d^3*e^2 + 5*a^4*d*e^4)*x^5 + 5/2*(2*a^3*c*d^4*e + a^4*d^2*e^3)*x^4 + 2/3*(2*a^3*c*d^5 + 5*a^4*d^3*e^2)*x^3","A",0
491,1,306,0,1.376389," ","integrate((e*x+d)^4*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{13} \, c^{4} e^{4} x^{13} + \frac{1}{3} \, c^{4} d e^{3} x^{12} + \frac{2}{11} \, {\left(3 \, c^{4} d^{2} e^{2} + 2 \, a c^{3} e^{4}\right)} x^{11} + \frac{2}{5} \, {\left(c^{4} d^{3} e + 4 \, a c^{3} d e^{3}\right)} x^{10} + 2 \, a^{4} d^{3} e x^{2} + \frac{1}{9} \, {\left(c^{4} d^{4} + 24 \, a c^{3} d^{2} e^{2} + 6 \, a^{2} c^{2} e^{4}\right)} x^{9} + a^{4} d^{4} x + {\left(2 \, a c^{3} d^{3} e + 3 \, a^{2} c^{2} d e^{3}\right)} x^{8} + \frac{4}{7} \, {\left(a c^{3} d^{4} + 9 \, a^{2} c^{2} d^{2} e^{2} + a^{3} c e^{4}\right)} x^{7} + \frac{4}{3} \, {\left(3 \, a^{2} c^{2} d^{3} e + 2 \, a^{3} c d e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(6 \, a^{2} c^{2} d^{4} + 24 \, a^{3} c d^{2} e^{2} + a^{4} e^{4}\right)} x^{5} + {\left(4 \, a^{3} c d^{3} e + a^{4} d e^{3}\right)} x^{4} + \frac{2}{3} \, {\left(2 \, a^{3} c d^{4} + 3 \, a^{4} d^{2} e^{2}\right)} x^{3}"," ",0,"1/13*c^4*e^4*x^13 + 1/3*c^4*d*e^3*x^12 + 2/11*(3*c^4*d^2*e^2 + 2*a*c^3*e^4)*x^11 + 2/5*(c^4*d^3*e + 4*a*c^3*d*e^3)*x^10 + 2*a^4*d^3*e*x^2 + 1/9*(c^4*d^4 + 24*a*c^3*d^2*e^2 + 6*a^2*c^2*e^4)*x^9 + a^4*d^4*x + (2*a*c^3*d^3*e + 3*a^2*c^2*d*e^3)*x^8 + 4/7*(a*c^3*d^4 + 9*a^2*c^2*d^2*e^2 + a^3*c*e^4)*x^7 + 4/3*(3*a^2*c^2*d^3*e + 2*a^3*c*d*e^3)*x^6 + 1/5*(6*a^2*c^2*d^4 + 24*a^3*c*d^2*e^2 + a^4*e^4)*x^5 + (4*a^3*c*d^3*e + a^4*d*e^3)*x^4 + 2/3*(2*a^3*c*d^4 + 3*a^4*d^2*e^2)*x^3","A",0
492,1,244,0,1.345796," ","integrate((e*x+d)^3*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{12} \, c^{4} e^{3} x^{12} + \frac{3}{11} \, c^{4} d e^{2} x^{11} + \frac{1}{10} \, {\left(3 \, c^{4} d^{2} e + 4 \, a c^{3} e^{3}\right)} x^{10} + \frac{1}{9} \, {\left(c^{4} d^{3} + 12 \, a c^{3} d e^{2}\right)} x^{9} + \frac{3}{2} \, a^{4} d^{2} e x^{2} + \frac{3}{4} \, {\left(2 \, a c^{3} d^{2} e + a^{2} c^{2} e^{3}\right)} x^{8} + a^{4} d^{3} x + \frac{2}{7} \, {\left(2 \, a c^{3} d^{3} + 9 \, a^{2} c^{2} d e^{2}\right)} x^{7} + \frac{1}{3} \, {\left(9 \, a^{2} c^{2} d^{2} e + 2 \, a^{3} c e^{3}\right)} x^{6} + \frac{6}{5} \, {\left(a^{2} c^{2} d^{3} + 2 \, a^{3} c d e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(12 \, a^{3} c d^{2} e + a^{4} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(4 \, a^{3} c d^{3} + 3 \, a^{4} d e^{2}\right)} x^{3}"," ",0,"1/12*c^4*e^3*x^12 + 3/11*c^4*d*e^2*x^11 + 1/10*(3*c^4*d^2*e + 4*a*c^3*e^3)*x^10 + 1/9*(c^4*d^3 + 12*a*c^3*d*e^2)*x^9 + 3/2*a^4*d^2*e*x^2 + 3/4*(2*a*c^3*d^2*e + a^2*c^2*e^3)*x^8 + a^4*d^3*x + 2/7*(2*a*c^3*d^3 + 9*a^2*c^2*d*e^2)*x^7 + 1/3*(9*a^2*c^2*d^2*e + 2*a^3*c*e^3)*x^6 + 6/5*(a^2*c^2*d^3 + 2*a^3*c*d*e^2)*x^5 + 1/4*(12*a^3*c*d^2*e + a^4*e^3)*x^4 + 1/3*(4*a^3*c*d^3 + 3*a^4*d*e^2)*x^3","A",0
493,1,169,0,1.344092," ","integrate((e*x+d)^2*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{11} \, c^{4} e^{2} x^{11} + \frac{1}{5} \, c^{4} d e x^{10} + a c^{3} d e x^{8} + 2 \, a^{2} c^{2} d e x^{6} + 2 \, a^{3} c d e x^{4} + \frac{1}{9} \, {\left(c^{4} d^{2} + 4 \, a c^{3} e^{2}\right)} x^{9} + a^{4} d e x^{2} + \frac{2}{7} \, {\left(2 \, a c^{3} d^{2} + 3 \, a^{2} c^{2} e^{2}\right)} x^{7} + a^{4} d^{2} x + \frac{2}{5} \, {\left(3 \, a^{2} c^{2} d^{2} + 2 \, a^{3} c e^{2}\right)} x^{5} + \frac{1}{3} \, {\left(4 \, a^{3} c d^{2} + a^{4} e^{2}\right)} x^{3}"," ",0,"1/11*c^4*e^2*x^11 + 1/5*c^4*d*e*x^10 + a*c^3*d*e*x^8 + 2*a^2*c^2*d*e*x^6 + 2*a^3*c*d*e*x^4 + 1/9*(c^4*d^2 + 4*a*c^3*e^2)*x^9 + a^4*d*e*x^2 + 2/7*(2*a*c^3*d^2 + 3*a^2*c^2*e^2)*x^7 + a^4*d^2*x + 2/5*(3*a^2*c^2*d^2 + 2*a^3*c*e^2)*x^5 + 1/3*(4*a^3*c*d^2 + a^4*e^2)*x^3","A",0
494,1,96,0,1.350072," ","integrate((e*x+d)*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{10} \, c^{4} e x^{10} + \frac{1}{9} \, c^{4} d x^{9} + \frac{1}{2} \, a c^{3} e x^{8} + \frac{4}{7} \, a c^{3} d x^{7} + a^{2} c^{2} e x^{6} + \frac{6}{5} \, a^{2} c^{2} d x^{5} + a^{3} c e x^{4} + \frac{4}{3} \, a^{3} c d x^{3} + \frac{1}{2} \, a^{4} e x^{2} + a^{4} d x"," ",0,"1/10*c^4*e*x^10 + 1/9*c^4*d*x^9 + 1/2*a*c^3*e*x^8 + 4/7*a*c^3*d*x^7 + a^2*c^2*e*x^6 + 6/5*a^2*c^2*d*x^5 + a^3*c*e*x^4 + 4/3*a^3*c*d*x^3 + 1/2*a^4*e*x^2 + a^4*d*x","A",0
495,1,319,0,1.334666," ","integrate((c*x^2+a)^4/(e*x+d),x, algorithm=""maxima"")","\frac{105 \, c^{4} e^{7} x^{8} - 120 \, c^{4} d e^{6} x^{7} + 140 \, {\left(c^{4} d^{2} e^{5} + 4 \, a c^{3} e^{7}\right)} x^{6} - 168 \, {\left(c^{4} d^{3} e^{4} + 4 \, a c^{3} d e^{6}\right)} x^{5} + 210 \, {\left(c^{4} d^{4} e^{3} + 4 \, a c^{3} d^{2} e^{5} + 6 \, a^{2} c^{2} e^{7}\right)} x^{4} - 280 \, {\left(c^{4} d^{5} e^{2} + 4 \, a c^{3} d^{3} e^{4} + 6 \, a^{2} c^{2} d e^{6}\right)} x^{3} + 420 \, {\left(c^{4} d^{6} e + 4 \, a c^{3} d^{4} e^{3} + 6 \, a^{2} c^{2} d^{2} e^{5} + 4 \, a^{3} c e^{7}\right)} x^{2} - 840 \, {\left(c^{4} d^{7} + 4 \, a c^{3} d^{5} e^{2} + 6 \, a^{2} c^{2} d^{3} e^{4} + 4 \, a^{3} c d e^{6}\right)} x}{840 \, e^{8}} + \frac{{\left(c^{4} d^{8} + 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} + 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"1/840*(105*c^4*e^7*x^8 - 120*c^4*d*e^6*x^7 + 140*(c^4*d^2*e^5 + 4*a*c^3*e^7)*x^6 - 168*(c^4*d^3*e^4 + 4*a*c^3*d*e^6)*x^5 + 210*(c^4*d^4*e^3 + 4*a*c^3*d^2*e^5 + 6*a^2*c^2*e^7)*x^4 - 280*(c^4*d^5*e^2 + 4*a*c^3*d^3*e^4 + 6*a^2*c^2*d*e^6)*x^3 + 420*(c^4*d^6*e + 4*a*c^3*d^4*e^3 + 6*a^2*c^2*d^2*e^5 + 4*a^3*c*e^7)*x^2 - 840*(c^4*d^7 + 4*a*c^3*d^5*e^2 + 6*a^2*c^2*d^3*e^4 + 4*a^3*c*d*e^6)*x)/e^8 + (c^4*d^8 + 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 + 4*a^3*c*d^2*e^6 + a^4*e^8)*log(e*x + d)/e^9","A",0
496,1,330,0,1.397443," ","integrate((c*x^2+a)^4/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c^{4} d^{8} + 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} + 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}}{e^{10} x + d e^{9}} + \frac{15 \, c^{4} e^{6} x^{7} - 35 \, c^{4} d e^{5} x^{6} + 21 \, {\left(3 \, c^{4} d^{2} e^{4} + 4 \, a c^{3} e^{6}\right)} x^{5} - 105 \, {\left(c^{4} d^{3} e^{3} + 2 \, a c^{3} d e^{5}\right)} x^{4} + 35 \, {\left(5 \, c^{4} d^{4} e^{2} + 12 \, a c^{3} d^{2} e^{4} + 6 \, a^{2} c^{2} e^{6}\right)} x^{3} - 105 \, {\left(3 \, c^{4} d^{5} e + 8 \, a c^{3} d^{3} e^{3} + 6 \, a^{2} c^{2} d e^{5}\right)} x^{2} + 105 \, {\left(7 \, c^{4} d^{6} + 20 \, a c^{3} d^{4} e^{2} + 18 \, a^{2} c^{2} d^{2} e^{4} + 4 \, a^{3} c e^{6}\right)} x}{105 \, e^{8}} - \frac{8 \, {\left(c^{4} d^{7} + 3 \, a c^{3} d^{5} e^{2} + 3 \, a^{2} c^{2} d^{3} e^{4} + a^{3} c d e^{6}\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"-(c^4*d^8 + 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 + 4*a^3*c*d^2*e^6 + a^4*e^8)/(e^10*x + d*e^9) + 1/105*(15*c^4*e^6*x^7 - 35*c^4*d*e^5*x^6 + 21*(3*c^4*d^2*e^4 + 4*a*c^3*e^6)*x^5 - 105*(c^4*d^3*e^3 + 2*a*c^3*d*e^5)*x^4 + 35*(5*c^4*d^4*e^2 + 12*a*c^3*d^2*e^4 + 6*a^2*c^2*e^6)*x^3 - 105*(3*c^4*d^5*e + 8*a*c^3*d^3*e^3 + 6*a^2*c^2*d*e^5)*x^2 + 105*(7*c^4*d^6 + 20*a*c^3*d^4*e^2 + 18*a^2*c^2*d^2*e^4 + 4*a^3*c*e^6)*x)/e^8 - 8*(c^4*d^7 + 3*a*c^3*d^5*e^2 + 3*a^2*c^2*d^3*e^4 + a^3*c*d*e^6)*log(e*x + d)/e^9","A",0
497,1,96,0,1.334566," ","integrate((d*x+c)*(b*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{10} \, b^{4} d x^{10} + \frac{1}{9} \, b^{4} c x^{9} + \frac{1}{2} \, a b^{3} d x^{8} + \frac{4}{7} \, a b^{3} c x^{7} + a^{2} b^{2} d x^{6} + \frac{6}{5} \, a^{2} b^{2} c x^{5} + a^{3} b d x^{4} + \frac{4}{3} \, a^{3} b c x^{3} + \frac{1}{2} \, a^{4} d x^{2} + a^{4} c x"," ",0,"1/10*b^4*d*x^10 + 1/9*b^4*c*x^9 + 1/2*a*b^3*d*x^8 + 4/7*a*b^3*c*x^7 + a^2*b^2*d*x^6 + 6/5*a^2*b^2*c*x^5 + a^3*b*d*x^4 + 4/3*a^3*b*c*x^3 + 1/2*a^4*d*x^2 + a^4*c*x","A",0
498,1,114,0,2.902799," ","integrate((e*x+d)^4/(c*x^2+a),x, algorithm=""maxima"")","\frac{2 \, {\left(c d^{3} e - a d e^{3}\right)} \log\left(c x^{2} + a\right)}{c^{2}} + \frac{{\left(c^{2} d^{4} - 6 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c^{2}} + \frac{c e^{4} x^{3} + 6 \, c d e^{3} x^{2} + 3 \, {\left(6 \, c d^{2} e^{2} - a e^{4}\right)} x}{3 \, c^{2}}"," ",0,"2*(c*d^3*e - a*d*e^3)*log(c*x^2 + a)/c^2 + (c^2*d^4 - 6*a*c*d^2*e^2 + a^2*e^4)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c^2) + 1/3*(c*e^4*x^3 + 6*c*d*e^3*x^2 + 3*(6*c*d^2*e^2 - a*e^4)*x)/c^2","A",0
499,1,79,0,3.019867," ","integrate((e*x+d)^3/(c*x^2+a),x, algorithm=""maxima"")","\frac{{\left(c d^{3} - 3 \, a d e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c} + \frac{e^{3} x^{2} + 6 \, d e^{2} x}{2 \, c} + \frac{{\left(3 \, c d^{2} e - a e^{3}\right)} \log\left(c x^{2} + a\right)}{2 \, c^{2}}"," ",0,"(c*d^3 - 3*a*d*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c) + 1/2*(e^3*x^2 + 6*d*e^2*x)/c + 1/2*(3*c*d^2*e - a*e^3)*log(c*x^2 + a)/c^2","A",0
500,1,53,0,2.970546," ","integrate((e*x+d)^2/(c*x^2+a),x, algorithm=""maxima"")","\frac{e^{2} x}{c} + \frac{d e \log\left(c x^{2} + a\right)}{c} + \frac{{\left(c d^{2} - a e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c}"," ",0,"e^2*x/c + d*e*log(c*x^2 + a)/c + (c*d^2 - a*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c)","A",0
501,1,31,0,3.033181," ","integrate((e*x+d)/(c*x^2+a),x, algorithm=""maxima"")","\frac{d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}} + \frac{e \log\left(c x^{2} + a\right)}{2 \, c}"," ",0,"d*arctan(c*x/sqrt(a*c))/sqrt(a*c) + 1/2*e*log(c*x^2 + a)/c","A",0
502,1,76,0,2.960481," ","integrate(1/(e*x+d)/(c*x^2+a),x, algorithm=""maxima"")","\frac{c d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{{\left(c d^{2} + a e^{2}\right)} \sqrt{a c}} - \frac{e \log\left(c x^{2} + a\right)}{2 \, {\left(c d^{2} + a e^{2}\right)}} + \frac{e \log\left(e x + d\right)}{c d^{2} + a e^{2}}"," ",0,"c*d*arctan(c*x/sqrt(a*c))/((c*d^2 + a*e^2)*sqrt(a*c)) - 1/2*e*log(c*x^2 + a)/(c*d^2 + a*e^2) + e*log(e*x + d)/(c*d^2 + a*e^2)","A",0
503,1,167,0,3.028136," ","integrate(1/(e*x+d)^2/(c*x^2+a),x, algorithm=""maxima"")","-\frac{c d e \log\left(c x^{2} + a\right)}{c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}} + \frac{2 \, c d e \log\left(e x + d\right)}{c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}} + \frac{{\left(c^{2} d^{2} - a c e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{a c}} - \frac{e}{c d^{3} + a d e^{2} + {\left(c d^{2} e + a e^{3}\right)} x}"," ",0,"-c*d*e*log(c*x^2 + a)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + 2*c*d*e*log(e*x + d)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + (c^2*d^2 - a*c*e^2)*arctan(c*x/sqrt(a*c))/((c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(a*c)) - e/(c*d^3 + a*d*e^2 + (c*d^2*e + a*e^3)*x)","A",0
504,1,323,0,3.026119," ","integrate(1/(e*x+d)^3/(c*x^2+a),x, algorithm=""maxima"")","-\frac{{\left(3 \, c^{2} d^{2} e - a c e^{3}\right)} \log\left(c x^{2} + a\right)}{2 \, {\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)}} + \frac{{\left(3 \, c^{2} d^{2} e - a c e^{3}\right)} \log\left(e x + d\right)}{c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}} + \frac{{\left(c^{3} d^{3} - 3 \, a c^{2} d e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{{\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)} \sqrt{a c}} - \frac{4 \, c d e^{2} x + 5 \, c d^{2} e + a e^{3}}{2 \, {\left(c^{2} d^{6} + 2 \, a c d^{4} e^{2} + a^{2} d^{2} e^{4} + {\left(c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)} x^{2} + 2 \, {\left(c^{2} d^{5} e + 2 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)} x\right)}}"," ",0,"-1/2*(3*c^2*d^2*e - a*c*e^3)*log(c*x^2 + a)/(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6) + (3*c^2*d^2*e - a*c*e^3)*log(e*x + d)/(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6) + (c^3*d^3 - 3*a*c^2*d*e^2)*arctan(c*x/sqrt(a*c))/((c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6)*sqrt(a*c)) - 1/2*(4*c*d*e^2*x + 5*c*d^2*e + a*e^3)/(c^2*d^6 + 2*a*c*d^4*e^2 + a^2*d^2*e^4 + (c^2*d^4*e^2 + 2*a*c*d^2*e^4 + a^2*e^6)*x^2 + 2*(c^2*d^5*e + 2*a*c*d^3*e^3 + a^2*d*e^5)*x)","A",0
505,1,181,0,2.970702," ","integrate((e*x+d)^5/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{5 \, a c^{2} d^{4} e - 10 \, a^{2} c d^{2} e^{3} + a^{3} e^{5} - {\left(c^{3} d^{5} - 10 \, a c^{2} d^{3} e^{2} + 5 \, a^{2} c d e^{4}\right)} x}{2 \, {\left(a c^{4} x^{2} + a^{2} c^{3}\right)}} + \frac{e^{5} x^{2} + 10 \, d e^{4} x}{2 \, c^{2}} + \frac{{\left(5 \, c d^{2} e^{3} - a e^{5}\right)} \log\left(c x^{2} + a\right)}{c^{3}} + \frac{{\left(c^{2} d^{5} + 10 \, a c d^{3} e^{2} - 15 \, a^{2} d e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a c^{2}}"," ",0,"-1/2*(5*a*c^2*d^4*e - 10*a^2*c*d^2*e^3 + a^3*e^5 - (c^3*d^5 - 10*a*c^2*d^3*e^2 + 5*a^2*c*d*e^4)*x)/(a*c^4*x^2 + a^2*c^3) + 1/2*(e^5*x^2 + 10*d*e^4*x)/c^2 + (5*c*d^2*e^3 - a*e^5)*log(c*x^2 + a)/c^3 + 1/2*(c^2*d^5 + 10*a*c*d^3*e^2 - 15*a^2*d*e^4)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a*c^2)","A",0
506,1,140,0,3.009928," ","integrate((e*x+d)^4/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{e^{4} x}{c^{2}} + \frac{2 \, d e^{3} \log\left(c x^{2} + a\right)}{c^{2}} - \frac{4 \, a c d^{3} e - 4 \, a^{2} d e^{3} - {\left(c^{2} d^{4} - 6 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} x}{2 \, {\left(a c^{3} x^{2} + a^{2} c^{2}\right)}} + \frac{{\left(c^{2} d^{4} + 6 \, a c d^{2} e^{2} - 3 \, a^{2} e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a c^{2}}"," ",0,"e^4*x/c^2 + 2*d*e^3*log(c*x^2 + a)/c^2 - 1/2*(4*a*c*d^3*e - 4*a^2*d*e^3 - (c^2*d^4 - 6*a*c*d^2*e^2 + a^2*e^4)*x)/(a*c^3*x^2 + a^2*c^2) + 1/2*(c^2*d^4 + 6*a*c*d^2*e^2 - 3*a^2*e^4)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a*c^2)","A",0
507,1,108,0,2.978888," ","integrate((e*x+d)^3/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{e^{3} \log\left(c x^{2} + a\right)}{2 \, c^{2}} - \frac{3 \, a c d^{2} e - a^{2} e^{3} - {\left(c^{2} d^{3} - 3 \, a c d e^{2}\right)} x}{2 \, {\left(a c^{3} x^{2} + a^{2} c^{2}\right)}} + \frac{{\left(c d^{3} + 3 \, a d e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a c}"," ",0,"1/2*e^3*log(c*x^2 + a)/c^2 - 1/2*(3*a*c*d^2*e - a^2*e^3 - (c^2*d^3 - 3*a*c*d*e^2)*x)/(a*c^3*x^2 + a^2*c^2) + 1/2*(c*d^3 + 3*a*d*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a*c)","A",0
508,1,73,0,2.930675," ","integrate((e*x+d)^2/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{2 \, a d e - {\left(c d^{2} - a e^{2}\right)} x}{2 \, {\left(a c^{2} x^{2} + a^{2} c\right)}} + \frac{{\left(c d^{2} + a e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a c}"," ",0,"-1/2*(2*a*d*e - (c*d^2 - a*e^2)*x)/(a*c^2*x^2 + a^2*c) + 1/2*(c*d^2 + a*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a*c)","A",0
509,1,48,0,2.985015," ","integrate((e*x+d)/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a} + \frac{c d x - a e}{2 \, {\left(a c^{2} x^{2} + a^{2} c\right)}}"," ",0,"1/2*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a) + 1/2*(c*d*x - a*e)/(a*c^2*x^2 + a^2*c)","A",0
510,1,189,0,2.987975," ","integrate(1/(e*x+d)/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{e^{3} \log\left(c x^{2} + a\right)}{2 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} + \frac{e^{3} \log\left(e x + d\right)}{c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}} + \frac{{\left(c^{2} d^{3} + 3 \, a c d e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, {\left(a c^{2} d^{4} + 2 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}\right)} \sqrt{a c}} + \frac{c d x + a e}{2 \, {\left(a^{2} c d^{2} + a^{3} e^{2} + {\left(a c^{2} d^{2} + a^{2} c e^{2}\right)} x^{2}\right)}}"," ",0,"-1/2*e^3*log(c*x^2 + a)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + e^3*log(e*x + d)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + 1/2*(c^2*d^3 + 3*a*c*d*e^2)*arctan(c*x/sqrt(a*c))/((a*c^2*d^4 + 2*a^2*c*d^2*e^2 + a^3*e^4)*sqrt(a*c)) + 1/2*(c*d*x + a*e)/(a^2*c*d^2 + a^3*e^2 + (a*c^2*d^2 + a^2*c*e^2)*x^2)","A",0
511,1,394,0,3.057916," ","integrate(1/(e*x+d)^2/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{2 \, c d e^{3} \log\left(c x^{2} + a\right)}{c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}} + \frac{4 \, c d e^{3} \log\left(e x + d\right)}{c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}} + \frac{{\left(c^{3} d^{4} + 6 \, a c^{2} d^{2} e^{2} - 3 \, a^{2} c e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, {\left(a c^{3} d^{6} + 3 \, a^{2} c^{2} d^{4} e^{2} + 3 \, a^{3} c d^{2} e^{4} + a^{4} e^{6}\right)} \sqrt{a c}} + \frac{2 \, a c d^{2} e - 2 \, a^{2} e^{3} + {\left(c^{2} d^{2} e - 3 \, a c e^{3}\right)} x^{2} + {\left(c^{2} d^{3} + a c d e^{2}\right)} x}{2 \, {\left(a^{2} c^{2} d^{5} + 2 \, a^{3} c d^{3} e^{2} + a^{4} d e^{4} + {\left(a c^{3} d^{4} e + 2 \, a^{2} c^{2} d^{2} e^{3} + a^{3} c e^{5}\right)} x^{3} + {\left(a c^{3} d^{5} + 2 \, a^{2} c^{2} d^{3} e^{2} + a^{3} c d e^{4}\right)} x^{2} + {\left(a^{2} c^{2} d^{4} e + 2 \, a^{3} c d^{2} e^{3} + a^{4} e^{5}\right)} x\right)}}"," ",0,"-2*c*d*e^3*log(c*x^2 + a)/(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6) + 4*c*d*e^3*log(e*x + d)/(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6) + 1/2*(c^3*d^4 + 6*a*c^2*d^2*e^2 - 3*a^2*c*e^4)*arctan(c*x/sqrt(a*c))/((a*c^3*d^6 + 3*a^2*c^2*d^4*e^2 + 3*a^3*c*d^2*e^4 + a^4*e^6)*sqrt(a*c)) + 1/2*(2*a*c*d^2*e - 2*a^2*e^3 + (c^2*d^2*e - 3*a*c*e^3)*x^2 + (c^2*d^3 + a*c*d*e^2)*x)/(a^2*c^2*d^5 + 2*a^3*c*d^3*e^2 + a^4*d*e^4 + (a*c^3*d^4*e + 2*a^2*c^2*d^2*e^3 + a^3*c*e^5)*x^3 + (a*c^3*d^5 + 2*a^2*c^2*d^3*e^2 + a^3*c*d*e^4)*x^2 + (a^2*c^2*d^4*e + 2*a^3*c*d^2*e^3 + a^4*e^5)*x)","B",0
512,1,236,0,3.032513," ","integrate((e*x+d)^5/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{e^{5} \log\left(c x^{2} + a\right)}{2 \, c^{3}} - \frac{10 \, a^{2} c^{2} d^{4} e + 20 \, a^{3} c d^{2} e^{3} - 6 \, a^{4} e^{5} - {\left(3 \, c^{4} d^{5} + 10 \, a c^{3} d^{3} e^{2} - 25 \, a^{2} c^{2} d e^{4}\right)} x^{3} + 8 \, {\left(5 \, a^{2} c^{2} d^{2} e^{3} - a^{3} c e^{5}\right)} x^{2} - 5 \, {\left(a c^{3} d^{5} - 2 \, a^{2} c^{2} d^{3} e^{2} - 3 \, a^{3} c d e^{4}\right)} x}{8 \, {\left(a^{2} c^{5} x^{4} + 2 \, a^{3} c^{4} x^{2} + a^{4} c^{3}\right)}} + \frac{{\left(3 \, c^{2} d^{5} + 10 \, a c d^{3} e^{2} + 15 \, a^{2} d e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2} c^{2}}"," ",0,"1/2*e^5*log(c*x^2 + a)/c^3 - 1/8*(10*a^2*c^2*d^4*e + 20*a^3*c*d^2*e^3 - 6*a^4*e^5 - (3*c^4*d^5 + 10*a*c^3*d^3*e^2 - 25*a^2*c^2*d*e^4)*x^3 + 8*(5*a^2*c^2*d^2*e^3 - a^3*c*e^5)*x^2 - 5*(a*c^3*d^5 - 2*a^2*c^2*d^3*e^2 - 3*a^3*c*d*e^4)*x)/(a^2*c^5*x^4 + 2*a^3*c^4*x^2 + a^4*c^3) + 1/8*(3*c^2*d^5 + 10*a*c*d^3*e^2 + 15*a^2*d*e^4)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2*c^2)","A",0
513,1,182,0,3.012921," ","integrate((e*x+d)^4/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{16 \, a^{2} c d e^{3} x^{2} + 8 \, a^{2} c d^{3} e + 8 \, a^{3} d e^{3} - {\left(3 \, c^{3} d^{4} + 6 \, a c^{2} d^{2} e^{2} - 5 \, a^{2} c e^{4}\right)} x^{3} - {\left(5 \, a c^{2} d^{4} - 6 \, a^{2} c d^{2} e^{2} - 3 \, a^{3} e^{4}\right)} x}{8 \, {\left(a^{2} c^{4} x^{4} + 2 \, a^{3} c^{3} x^{2} + a^{4} c^{2}\right)}} + \frac{3 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2} c^{2}}"," ",0,"-1/8*(16*a^2*c*d*e^3*x^2 + 8*a^2*c*d^3*e + 8*a^3*d*e^3 - (3*c^3*d^4 + 6*a*c^2*d^2*e^2 - 5*a^2*c*e^4)*x^3 - (5*a*c^2*d^4 - 6*a^2*c*d^2*e^2 - 3*a^3*e^4)*x)/(a^2*c^4*x^4 + 2*a^3*c^3*x^2 + a^4*c^2) + 3/8*(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2*c^2)","A",0
514,1,144,0,2.954344," ","integrate((e*x+d)^3/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{4 \, a^{2} c e^{3} x^{2} + 6 \, a^{2} c d^{2} e + 2 \, a^{3} e^{3} - 3 \, {\left(c^{3} d^{3} + a c^{2} d e^{2}\right)} x^{3} - {\left(5 \, a c^{2} d^{3} - 3 \, a^{2} c d e^{2}\right)} x}{8 \, {\left(a^{2} c^{4} x^{4} + 2 \, a^{3} c^{3} x^{2} + a^{4} c^{2}\right)}} + \frac{3 \, {\left(c d^{3} + a d e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2} c}"," ",0,"-1/8*(4*a^2*c*e^3*x^2 + 6*a^2*c*d^2*e + 2*a^3*e^3 - 3*(c^3*d^3 + a*c^2*d*e^2)*x^3 - (5*a*c^2*d^3 - 3*a^2*c*d*e^2)*x)/(a^2*c^4*x^4 + 2*a^3*c^3*x^2 + a^4*c^2) + 3/8*(c*d^3 + a*d*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2*c)","A",0
515,1,113,0,3.016860," ","integrate((e*x+d)^2/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{4 \, a^{2} d e - {\left(3 \, c^{2} d^{2} + a c e^{2}\right)} x^{3} - {\left(5 \, a c d^{2} - a^{2} e^{2}\right)} x}{8 \, {\left(a^{2} c^{3} x^{4} + 2 \, a^{3} c^{2} x^{2} + a^{4} c\right)}} + \frac{{\left(3 \, c d^{2} + a e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2} c}"," ",0,"-1/8*(4*a^2*d*e - (3*c^2*d^2 + a*c*e^2)*x^3 - (5*a*c*d^2 - a^2*e^2)*x)/(a^2*c^3*x^4 + 2*a^3*c^2*x^2 + a^4*c) + 1/8*(3*c*d^2 + a*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2*c)","A",0
516,1,74,0,2.908699," ","integrate((e*x+d)/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{3 \, c^{2} d x^{3} + 5 \, a c d x - 2 \, a^{2} e}{8 \, {\left(a^{2} c^{3} x^{4} + 2 \, a^{3} c^{2} x^{2} + a^{4} c\right)}} + \frac{3 \, d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2}}"," ",0,"1/8*(3*c^2*d*x^3 + 5*a*c*d*x - 2*a^2*e)/(a^2*c^3*x^4 + 2*a^3*c^2*x^2 + a^4*c) + 3/8*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2)","A",0
517,1,386,0,3.137389," ","integrate(1/(e*x+d)/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{e^{5} \log\left(c x^{2} + a\right)}{2 \, {\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)}} + \frac{e^{5} \log\left(e x + d\right)}{c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}} + \frac{{\left(3 \, c^{3} d^{5} + 10 \, a c^{2} d^{3} e^{2} + 15 \, a^{2} c d e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, {\left(a^{2} c^{3} d^{6} + 3 \, a^{3} c^{2} d^{4} e^{2} + 3 \, a^{4} c d^{2} e^{4} + a^{5} e^{6}\right)} \sqrt{a c}} + \frac{4 \, a^{2} c e^{3} x^{2} + 2 \, a^{2} c d^{2} e + 6 \, a^{3} e^{3} + {\left(3 \, c^{3} d^{3} + 7 \, a c^{2} d e^{2}\right)} x^{3} + {\left(5 \, a c^{2} d^{3} + 9 \, a^{2} c d e^{2}\right)} x}{8 \, {\left(a^{4} c^{2} d^{4} + 2 \, a^{5} c d^{2} e^{2} + a^{6} e^{4} + {\left(a^{2} c^{4} d^{4} + 2 \, a^{3} c^{3} d^{2} e^{2} + a^{4} c^{2} e^{4}\right)} x^{4} + 2 \, {\left(a^{3} c^{3} d^{4} + 2 \, a^{4} c^{2} d^{2} e^{2} + a^{5} c e^{4}\right)} x^{2}\right)}}"," ",0,"-1/2*e^5*log(c*x^2 + a)/(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6) + e^5*log(e*x + d)/(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6) + 1/8*(3*c^3*d^5 + 10*a*c^2*d^3*e^2 + 15*a^2*c*d*e^4)*arctan(c*x/sqrt(a*c))/((a^2*c^3*d^6 + 3*a^3*c^2*d^4*e^2 + 3*a^4*c*d^2*e^4 + a^5*e^6)*sqrt(a*c)) + 1/8*(4*a^2*c*e^3*x^2 + 2*a^2*c*d^2*e + 6*a^3*e^3 + (3*c^3*d^3 + 7*a*c^2*d*e^2)*x^3 + (5*a*c^2*d^3 + 9*a^2*c*d*e^2)*x)/(a^4*c^2*d^4 + 2*a^5*c*d^2*e^2 + a^6*e^4 + (a^2*c^4*d^4 + 2*a^3*c^3*d^2*e^2 + a^4*c^2*e^4)*x^4 + 2*(a^3*c^3*d^4 + 2*a^4*c^2*d^2*e^2 + a^5*c*e^4)*x^2)","A",0
518,1,749,0,3.347292," ","integrate(1/(e*x+d)^2/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{3 \, c d e^{5} \log\left(c x^{2} + a\right)}{c^{4} d^{8} + 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} + 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} + \frac{6 \, c d e^{5} \log\left(e x + d\right)}{c^{4} d^{8} + 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} + 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} + \frac{3 \, {\left(c^{4} d^{6} + 5 \, a c^{3} d^{4} e^{2} + 15 \, a^{2} c^{2} d^{2} e^{4} - 5 \, a^{3} c e^{6}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, {\left(a^{2} c^{4} d^{8} + 4 \, a^{3} c^{3} d^{6} e^{2} + 6 \, a^{4} c^{2} d^{4} e^{4} + 4 \, a^{5} c d^{2} e^{6} + a^{6} e^{8}\right)} \sqrt{a c}} + \frac{4 \, a^{2} c^{2} d^{4} e + 20 \, a^{3} c d^{2} e^{3} - 8 \, a^{4} e^{5} + 3 \, {\left(c^{4} d^{4} e + 4 \, a c^{3} d^{2} e^{3} - 5 \, a^{2} c^{2} e^{5}\right)} x^{4} + 3 \, {\left(c^{4} d^{5} + 4 \, a c^{3} d^{3} e^{2} + 3 \, a^{2} c^{2} d e^{4}\right)} x^{3} + {\left(5 \, a c^{3} d^{4} e + 28 \, a^{2} c^{2} d^{2} e^{3} - 25 \, a^{3} c e^{5}\right)} x^{2} + {\left(5 \, a c^{3} d^{5} + 16 \, a^{2} c^{2} d^{3} e^{2} + 11 \, a^{3} c d e^{4}\right)} x}{8 \, {\left(a^{4} c^{3} d^{7} + 3 \, a^{5} c^{2} d^{5} e^{2} + 3 \, a^{6} c d^{3} e^{4} + a^{7} d e^{6} + {\left(a^{2} c^{5} d^{6} e + 3 \, a^{3} c^{4} d^{4} e^{3} + 3 \, a^{4} c^{3} d^{2} e^{5} + a^{5} c^{2} e^{7}\right)} x^{5} + {\left(a^{2} c^{5} d^{7} + 3 \, a^{3} c^{4} d^{5} e^{2} + 3 \, a^{4} c^{3} d^{3} e^{4} + a^{5} c^{2} d e^{6}\right)} x^{4} + 2 \, {\left(a^{3} c^{4} d^{6} e + 3 \, a^{4} c^{3} d^{4} e^{3} + 3 \, a^{5} c^{2} d^{2} e^{5} + a^{6} c e^{7}\right)} x^{3} + 2 \, {\left(a^{3} c^{4} d^{7} + 3 \, a^{4} c^{3} d^{5} e^{2} + 3 \, a^{5} c^{2} d^{3} e^{4} + a^{6} c d e^{6}\right)} x^{2} + {\left(a^{4} c^{3} d^{6} e + 3 \, a^{5} c^{2} d^{4} e^{3} + 3 \, a^{6} c d^{2} e^{5} + a^{7} e^{7}\right)} x\right)}}"," ",0,"-3*c*d*e^5*log(c*x^2 + a)/(c^4*d^8 + 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 + 4*a^3*c*d^2*e^6 + a^4*e^8) + 6*c*d*e^5*log(e*x + d)/(c^4*d^8 + 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 + 4*a^3*c*d^2*e^6 + a^4*e^8) + 3/8*(c^4*d^6 + 5*a*c^3*d^4*e^2 + 15*a^2*c^2*d^2*e^4 - 5*a^3*c*e^6)*arctan(c*x/sqrt(a*c))/((a^2*c^4*d^8 + 4*a^3*c^3*d^6*e^2 + 6*a^4*c^2*d^4*e^4 + 4*a^5*c*d^2*e^6 + a^6*e^8)*sqrt(a*c)) + 1/8*(4*a^2*c^2*d^4*e + 20*a^3*c*d^2*e^3 - 8*a^4*e^5 + 3*(c^4*d^4*e + 4*a*c^3*d^2*e^3 - 5*a^2*c^2*e^5)*x^4 + 3*(c^4*d^5 + 4*a*c^3*d^3*e^2 + 3*a^2*c^2*d*e^4)*x^3 + (5*a*c^3*d^4*e + 28*a^2*c^2*d^2*e^3 - 25*a^3*c*e^5)*x^2 + (5*a*c^3*d^5 + 16*a^2*c^2*d^3*e^2 + 11*a^3*c*d*e^4)*x)/(a^4*c^3*d^7 + 3*a^5*c^2*d^5*e^2 + 3*a^6*c*d^3*e^4 + a^7*d*e^6 + (a^2*c^5*d^6*e + 3*a^3*c^4*d^4*e^3 + 3*a^4*c^3*d^2*e^5 + a^5*c^2*e^7)*x^5 + (a^2*c^5*d^7 + 3*a^3*c^4*d^5*e^2 + 3*a^4*c^3*d^3*e^4 + a^5*c^2*d*e^6)*x^4 + 2*(a^3*c^4*d^6*e + 3*a^4*c^3*d^4*e^3 + 3*a^5*c^2*d^2*e^5 + a^6*c*e^7)*x^3 + 2*(a^3*c^4*d^7 + 3*a^4*c^3*d^5*e^2 + 3*a^5*c^2*d^3*e^4 + a^6*c*d*e^6)*x^2 + (a^4*c^3*d^6*e + 3*a^5*c^2*d^4*e^3 + 3*a^6*c*d^2*e^5 + a^7*e^7)*x)","B",0
519,1,235,0,3.036762," ","integrate((e*x+d)^4/(c*x^2+a)^4,x, algorithm=""maxima"")","-\frac{48 \, a^{3} c d e^{3} x^{2} + 32 \, a^{3} c d^{3} e + 16 \, a^{4} d e^{3} - 3 \, {\left(5 \, c^{4} d^{4} + 6 \, a c^{3} d^{2} e^{2} + a^{2} c^{2} e^{4}\right)} x^{5} - 8 \, {\left(5 \, a c^{3} d^{4} + 6 \, a^{2} c^{2} d^{2} e^{2} - a^{3} c e^{4}\right)} x^{3} - 3 \, {\left(11 \, a^{2} c^{2} d^{4} - 6 \, a^{3} c d^{2} e^{2} - a^{4} e^{4}\right)} x}{48 \, {\left(a^{3} c^{5} x^{6} + 3 \, a^{4} c^{4} x^{4} + 3 \, a^{5} c^{3} x^{2} + a^{6} c^{2}\right)}} + \frac{{\left(5 \, c^{2} d^{4} + 6 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{a c} a^{3} c^{2}}"," ",0,"-1/48*(48*a^3*c*d*e^3*x^2 + 32*a^3*c*d^3*e + 16*a^4*d*e^3 - 3*(5*c^4*d^4 + 6*a*c^3*d^2*e^2 + a^2*c^2*e^4)*x^5 - 8*(5*a*c^3*d^4 + 6*a^2*c^2*d^2*e^2 - a^3*c*e^4)*x^3 - 3*(11*a^2*c^2*d^4 - 6*a^3*c*d^2*e^2 - a^4*e^4)*x)/(a^3*c^5*x^6 + 3*a^4*c^4*x^4 + 3*a^5*c^3*x^2 + a^6*c^2) + 1/16*(5*c^2*d^4 + 6*a*c*d^2*e^2 + a^2*e^4)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^3*c^2)","A",0
520,1,188,0,3.077237," ","integrate((e*x+d)^3/(c*x^2+a)^4,x, algorithm=""maxima"")","-\frac{12 \, a^{3} c e^{3} x^{2} + 24 \, a^{3} c d^{2} e + 4 \, a^{4} e^{3} - 3 \, {\left(5 \, c^{4} d^{3} + 3 \, a c^{3} d e^{2}\right)} x^{5} - 8 \, {\left(5 \, a c^{3} d^{3} + 3 \, a^{2} c^{2} d e^{2}\right)} x^{3} - 3 \, {\left(11 \, a^{2} c^{2} d^{3} - 3 \, a^{3} c d e^{2}\right)} x}{48 \, {\left(a^{3} c^{5} x^{6} + 3 \, a^{4} c^{4} x^{4} + 3 \, a^{5} c^{3} x^{2} + a^{6} c^{2}\right)}} + \frac{{\left(5 \, c d^{3} + 3 \, a d e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{a c} a^{3} c}"," ",0,"-1/48*(12*a^3*c*e^3*x^2 + 24*a^3*c*d^2*e + 4*a^4*e^3 - 3*(5*c^4*d^3 + 3*a*c^3*d*e^2)*x^5 - 8*(5*a*c^3*d^3 + 3*a^2*c^2*d*e^2)*x^3 - 3*(11*a^2*c^2*d^3 - 3*a^3*c*d*e^2)*x)/(a^3*c^5*x^6 + 3*a^4*c^4*x^4 + 3*a^5*c^3*x^2 + a^6*c^2) + 1/16*(5*c*d^3 + 3*a*d*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^3*c)","A",0
521,1,151,0,3.066844," ","integrate((e*x+d)^2/(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{3 \, {\left(5 \, c^{3} d^{2} + a c^{2} e^{2}\right)} x^{5} - 16 \, a^{3} d e + 8 \, {\left(5 \, a c^{2} d^{2} + a^{2} c e^{2}\right)} x^{3} + 3 \, {\left(11 \, a^{2} c d^{2} - a^{3} e^{2}\right)} x}{48 \, {\left(a^{3} c^{4} x^{6} + 3 \, a^{4} c^{3} x^{4} + 3 \, a^{5} c^{2} x^{2} + a^{6} c\right)}} + \frac{{\left(5 \, c d^{2} + a e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{a c} a^{3} c}"," ",0,"1/48*(3*(5*c^3*d^2 + a*c^2*e^2)*x^5 - 16*a^3*d*e + 8*(5*a*c^2*d^2 + a^2*c*e^2)*x^3 + 3*(11*a^2*c*d^2 - a^3*e^2)*x)/(a^3*c^4*x^6 + 3*a^4*c^3*x^4 + 3*a^5*c^2*x^2 + a^6*c) + 1/16*(5*c*d^2 + a*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^3*c)","A",0
522,1,97,0,2.958627," ","integrate((e*x+d)/(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{15 \, c^{3} d x^{5} + 40 \, a c^{2} d x^{3} + 33 \, a^{2} c d x - 8 \, a^{3} e}{48 \, {\left(a^{3} c^{4} x^{6} + 3 \, a^{4} c^{3} x^{4} + 3 \, a^{5} c^{2} x^{2} + a^{6} c\right)}} + \frac{5 \, d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{a c} a^{3}}"," ",0,"1/48*(15*c^3*d*x^5 + 40*a*c^2*d*x^3 + 33*a^2*c*d*x - 8*a^3*e)/(a^3*c^4*x^6 + 3*a^4*c^3*x^4 + 3*a^5*c^2*x^2 + a^6*c) + 5/16*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^3)","A",0
523,1,655,0,3.360479," ","integrate(1/(e*x+d)/(c*x^2+a)^4,x, algorithm=""maxima"")","-\frac{e^{7} \log\left(c x^{2} + a\right)}{2 \, {\left(c^{4} d^{8} + 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} + 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}\right)}} + \frac{e^{7} \log\left(e x + d\right)}{c^{4} d^{8} + 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} + 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} + \frac{{\left(5 \, c^{4} d^{7} + 21 \, a c^{3} d^{5} e^{2} + 35 \, a^{2} c^{2} d^{3} e^{4} + 35 \, a^{3} c d e^{6}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(a^{3} c^{4} d^{8} + 4 \, a^{4} c^{3} d^{6} e^{2} + 6 \, a^{5} c^{2} d^{4} e^{4} + 4 \, a^{6} c d^{2} e^{6} + a^{7} e^{8}\right)} \sqrt{a c}} + \frac{24 \, a^{3} c^{2} e^{5} x^{4} + 8 \, a^{3} c^{2} d^{4} e + 28 \, a^{4} c d^{2} e^{3} + 44 \, a^{5} e^{5} + 3 \, {\left(5 \, c^{5} d^{5} + 16 \, a c^{4} d^{3} e^{2} + 19 \, a^{2} c^{3} d e^{4}\right)} x^{5} + 8 \, {\left(5 \, a c^{4} d^{5} + 16 \, a^{2} c^{3} d^{3} e^{2} + 17 \, a^{3} c^{2} d e^{4}\right)} x^{3} + 12 \, {\left(a^{3} c^{2} d^{2} e^{3} + 5 \, a^{4} c e^{5}\right)} x^{2} + 3 \, {\left(11 \, a^{2} c^{3} d^{5} + 32 \, a^{3} c^{2} d^{3} e^{2} + 29 \, a^{4} c d e^{4}\right)} x}{48 \, {\left(a^{6} c^{3} d^{6} + 3 \, a^{7} c^{2} d^{4} e^{2} + 3 \, a^{8} c d^{2} e^{4} + a^{9} e^{6} + {\left(a^{3} c^{6} d^{6} + 3 \, a^{4} c^{5} d^{4} e^{2} + 3 \, a^{5} c^{4} d^{2} e^{4} + a^{6} c^{3} e^{6}\right)} x^{6} + 3 \, {\left(a^{4} c^{5} d^{6} + 3 \, a^{5} c^{4} d^{4} e^{2} + 3 \, a^{6} c^{3} d^{2} e^{4} + a^{7} c^{2} e^{6}\right)} x^{4} + 3 \, {\left(a^{5} c^{4} d^{6} + 3 \, a^{6} c^{3} d^{4} e^{2} + 3 \, a^{7} c^{2} d^{2} e^{4} + a^{8} c e^{6}\right)} x^{2}\right)}}"," ",0,"-1/2*e^7*log(c*x^2 + a)/(c^4*d^8 + 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 + 4*a^3*c*d^2*e^6 + a^4*e^8) + e^7*log(e*x + d)/(c^4*d^8 + 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 + 4*a^3*c*d^2*e^6 + a^4*e^8) + 1/16*(5*c^4*d^7 + 21*a*c^3*d^5*e^2 + 35*a^2*c^2*d^3*e^4 + 35*a^3*c*d*e^6)*arctan(c*x/sqrt(a*c))/((a^3*c^4*d^8 + 4*a^4*c^3*d^6*e^2 + 6*a^5*c^2*d^4*e^4 + 4*a^6*c*d^2*e^6 + a^7*e^8)*sqrt(a*c)) + 1/48*(24*a^3*c^2*e^5*x^4 + 8*a^3*c^2*d^4*e + 28*a^4*c*d^2*e^3 + 44*a^5*e^5 + 3*(5*c^5*d^5 + 16*a*c^4*d^3*e^2 + 19*a^2*c^3*d*e^4)*x^5 + 8*(5*a*c^4*d^5 + 16*a^2*c^3*d^3*e^2 + 17*a^3*c^2*d*e^4)*x^3 + 12*(a^3*c^2*d^2*e^3 + 5*a^4*c*e^5)*x^2 + 3*(11*a^2*c^3*d^5 + 32*a^3*c^2*d^3*e^2 + 29*a^4*c*d*e^4)*x)/(a^6*c^3*d^6 + 3*a^7*c^2*d^4*e^2 + 3*a^8*c*d^2*e^4 + a^9*e^6 + (a^3*c^6*d^6 + 3*a^4*c^5*d^4*e^2 + 3*a^5*c^4*d^2*e^4 + a^6*c^3*e^6)*x^6 + 3*(a^4*c^5*d^6 + 3*a^5*c^4*d^4*e^2 + 3*a^6*c^3*d^2*e^4 + a^7*c^2*e^6)*x^4 + 3*(a^5*c^4*d^6 + 3*a^6*c^3*d^4*e^2 + 3*a^7*c^2*d^2*e^4 + a^8*c*e^6)*x^2)","B",0
524,1,1215,0,3.775548," ","integrate(1/(e*x+d)^2/(c*x^2+a)^4,x, algorithm=""maxima"")","-\frac{4 \, c d e^{7} \log\left(c x^{2} + a\right)}{c^{5} d^{10} + 5 \, a c^{4} d^{8} e^{2} + 10 \, a^{2} c^{3} d^{6} e^{4} + 10 \, a^{3} c^{2} d^{4} e^{6} + 5 \, a^{4} c d^{2} e^{8} + a^{5} e^{10}} + \frac{8 \, c d e^{7} \log\left(e x + d\right)}{c^{5} d^{10} + 5 \, a c^{4} d^{8} e^{2} + 10 \, a^{2} c^{3} d^{6} e^{4} + 10 \, a^{3} c^{2} d^{4} e^{6} + 5 \, a^{4} c d^{2} e^{8} + a^{5} e^{10}} + \frac{{\left(5 \, c^{5} d^{8} + 28 \, a c^{4} d^{6} e^{2} + 70 \, a^{2} c^{3} d^{4} e^{4} + 140 \, a^{3} c^{2} d^{2} e^{6} - 35 \, a^{4} c e^{8}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(a^{3} c^{5} d^{10} + 5 \, a^{4} c^{4} d^{8} e^{2} + 10 \, a^{5} c^{3} d^{6} e^{4} + 10 \, a^{6} c^{2} d^{4} e^{6} + 5 \, a^{7} c d^{2} e^{8} + a^{8} e^{10}\right)} \sqrt{a c}} + \frac{16 \, a^{3} c^{3} d^{6} e + 80 \, a^{4} c^{2} d^{4} e^{3} + 208 \, a^{5} c d^{2} e^{5} - 48 \, a^{6} e^{7} + 3 \, {\left(5 \, c^{6} d^{6} e + 23 \, a c^{5} d^{4} e^{3} + 47 \, a^{2} c^{4} d^{2} e^{5} - 35 \, a^{3} c^{3} e^{7}\right)} x^{6} + 3 \, {\left(5 \, c^{6} d^{7} + 23 \, a c^{5} d^{5} e^{2} + 47 \, a^{2} c^{4} d^{3} e^{4} + 29 \, a^{3} c^{3} d e^{6}\right)} x^{5} + 8 \, {\left(5 \, a c^{5} d^{6} e + 23 \, a^{2} c^{4} d^{4} e^{3} + 55 \, a^{3} c^{3} d^{2} e^{5} - 35 \, a^{4} c^{2} e^{7}\right)} x^{4} + 8 \, {\left(5 \, a c^{5} d^{7} + 23 \, a^{2} c^{4} d^{5} e^{2} + 43 \, a^{3} c^{3} d^{3} e^{4} + 25 \, a^{4} c^{2} d e^{6}\right)} x^{3} + 3 \, {\left(11 \, a^{2} c^{4} d^{6} e + 57 \, a^{3} c^{3} d^{4} e^{3} + 161 \, a^{4} c^{2} d^{2} e^{5} - 77 \, a^{5} c e^{7}\right)} x^{2} + {\left(33 \, a^{2} c^{4} d^{7} + 139 \, a^{3} c^{3} d^{5} e^{2} + 227 \, a^{4} c^{2} d^{3} e^{4} + 121 \, a^{5} c d e^{6}\right)} x}{48 \, {\left(a^{6} c^{4} d^{9} + 4 \, a^{7} c^{3} d^{7} e^{2} + 6 \, a^{8} c^{2} d^{5} e^{4} + 4 \, a^{9} c d^{3} e^{6} + a^{10} d e^{8} + {\left(a^{3} c^{7} d^{8} e + 4 \, a^{4} c^{6} d^{6} e^{3} + 6 \, a^{5} c^{5} d^{4} e^{5} + 4 \, a^{6} c^{4} d^{2} e^{7} + a^{7} c^{3} e^{9}\right)} x^{7} + {\left(a^{3} c^{7} d^{9} + 4 \, a^{4} c^{6} d^{7} e^{2} + 6 \, a^{5} c^{5} d^{5} e^{4} + 4 \, a^{6} c^{4} d^{3} e^{6} + a^{7} c^{3} d e^{8}\right)} x^{6} + 3 \, {\left(a^{4} c^{6} d^{8} e + 4 \, a^{5} c^{5} d^{6} e^{3} + 6 \, a^{6} c^{4} d^{4} e^{5} + 4 \, a^{7} c^{3} d^{2} e^{7} + a^{8} c^{2} e^{9}\right)} x^{5} + 3 \, {\left(a^{4} c^{6} d^{9} + 4 \, a^{5} c^{5} d^{7} e^{2} + 6 \, a^{6} c^{4} d^{5} e^{4} + 4 \, a^{7} c^{3} d^{3} e^{6} + a^{8} c^{2} d e^{8}\right)} x^{4} + 3 \, {\left(a^{5} c^{5} d^{8} e + 4 \, a^{6} c^{4} d^{6} e^{3} + 6 \, a^{7} c^{3} d^{4} e^{5} + 4 \, a^{8} c^{2} d^{2} e^{7} + a^{9} c e^{9}\right)} x^{3} + 3 \, {\left(a^{5} c^{5} d^{9} + 4 \, a^{6} c^{4} d^{7} e^{2} + 6 \, a^{7} c^{3} d^{5} e^{4} + 4 \, a^{8} c^{2} d^{3} e^{6} + a^{9} c d e^{8}\right)} x^{2} + {\left(a^{6} c^{4} d^{8} e + 4 \, a^{7} c^{3} d^{6} e^{3} + 6 \, a^{8} c^{2} d^{4} e^{5} + 4 \, a^{9} c d^{2} e^{7} + a^{10} e^{9}\right)} x\right)}}"," ",0,"-4*c*d*e^7*log(c*x^2 + a)/(c^5*d^10 + 5*a*c^4*d^8*e^2 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 5*a^4*c*d^2*e^8 + a^5*e^10) + 8*c*d*e^7*log(e*x + d)/(c^5*d^10 + 5*a*c^4*d^8*e^2 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 5*a^4*c*d^2*e^8 + a^5*e^10) + 1/16*(5*c^5*d^8 + 28*a*c^4*d^6*e^2 + 70*a^2*c^3*d^4*e^4 + 140*a^3*c^2*d^2*e^6 - 35*a^4*c*e^8)*arctan(c*x/sqrt(a*c))/((a^3*c^5*d^10 + 5*a^4*c^4*d^8*e^2 + 10*a^5*c^3*d^6*e^4 + 10*a^6*c^2*d^4*e^6 + 5*a^7*c*d^2*e^8 + a^8*e^10)*sqrt(a*c)) + 1/48*(16*a^3*c^3*d^6*e + 80*a^4*c^2*d^4*e^3 + 208*a^5*c*d^2*e^5 - 48*a^6*e^7 + 3*(5*c^6*d^6*e + 23*a*c^5*d^4*e^3 + 47*a^2*c^4*d^2*e^5 - 35*a^3*c^3*e^7)*x^6 + 3*(5*c^6*d^7 + 23*a*c^5*d^5*e^2 + 47*a^2*c^4*d^3*e^4 + 29*a^3*c^3*d*e^6)*x^5 + 8*(5*a*c^5*d^6*e + 23*a^2*c^4*d^4*e^3 + 55*a^3*c^3*d^2*e^5 - 35*a^4*c^2*e^7)*x^4 + 8*(5*a*c^5*d^7 + 23*a^2*c^4*d^5*e^2 + 43*a^3*c^3*d^3*e^4 + 25*a^4*c^2*d*e^6)*x^3 + 3*(11*a^2*c^4*d^6*e + 57*a^3*c^3*d^4*e^3 + 161*a^4*c^2*d^2*e^5 - 77*a^5*c*e^7)*x^2 + (33*a^2*c^4*d^7 + 139*a^3*c^3*d^5*e^2 + 227*a^4*c^2*d^3*e^4 + 121*a^5*c*d*e^6)*x)/(a^6*c^4*d^9 + 4*a^7*c^3*d^7*e^2 + 6*a^8*c^2*d^5*e^4 + 4*a^9*c*d^3*e^6 + a^10*d*e^8 + (a^3*c^7*d^8*e + 4*a^4*c^6*d^6*e^3 + 6*a^5*c^5*d^4*e^5 + 4*a^6*c^4*d^2*e^7 + a^7*c^3*e^9)*x^7 + (a^3*c^7*d^9 + 4*a^4*c^6*d^7*e^2 + 6*a^5*c^5*d^5*e^4 + 4*a^6*c^4*d^3*e^6 + a^7*c^3*d*e^8)*x^6 + 3*(a^4*c^6*d^8*e + 4*a^5*c^5*d^6*e^3 + 6*a^6*c^4*d^4*e^5 + 4*a^7*c^3*d^2*e^7 + a^8*c^2*e^9)*x^5 + 3*(a^4*c^6*d^9 + 4*a^5*c^5*d^7*e^2 + 6*a^6*c^4*d^5*e^4 + 4*a^7*c^3*d^3*e^6 + a^8*c^2*d*e^8)*x^4 + 3*(a^5*c^5*d^8*e + 4*a^6*c^4*d^6*e^3 + 6*a^7*c^3*d^4*e^5 + 4*a^8*c^2*d^2*e^7 + a^9*c*e^9)*x^3 + 3*(a^5*c^5*d^9 + 4*a^6*c^4*d^7*e^2 + 6*a^7*c^3*d^5*e^4 + 4*a^8*c^2*d^3*e^6 + a^9*c*d*e^8)*x^2 + (a^6*c^4*d^8*e + 4*a^7*c^3*d^6*e^3 + 6*a^8*c^2*d^4*e^5 + 4*a^9*c*d^2*e^7 + a^10*e^9)*x)","B",0
525,1,238,0,1.335926," ","integrate((e*x+d)^4*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} e^{4} x^{3}}{6 \, c} + \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} d e^{3} x^{2}}{5 \, c} + \frac{1}{2} \, \sqrt{c x^{2} + a} d^{4} x + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} d^{2} e^{2} x}{2 \, c} - \frac{3 \, \sqrt{c x^{2} + a} a d^{2} e^{2} x}{4 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} a e^{4} x}{8 \, c^{2}} + \frac{\sqrt{c x^{2} + a} a^{2} e^{4} x}{16 \, c^{2}} + \frac{a d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c}} - \frac{3 \, a^{2} d^{2} e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{4 \, c^{\frac{3}{2}}} + \frac{a^{3} e^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, c^{\frac{5}{2}}} + \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} d^{3} e}{3 \, c} - \frac{8 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a d e^{3}}{15 \, c^{2}}"," ",0,"1/6*(c*x^2 + a)^(3/2)*e^4*x^3/c + 4/5*(c*x^2 + a)^(3/2)*d*e^3*x^2/c + 1/2*sqrt(c*x^2 + a)*d^4*x + 3/2*(c*x^2 + a)^(3/2)*d^2*e^2*x/c - 3/4*sqrt(c*x^2 + a)*a*d^2*e^2*x/c - 1/8*(c*x^2 + a)^(3/2)*a*e^4*x/c^2 + 1/16*sqrt(c*x^2 + a)*a^2*e^4*x/c^2 + 1/2*a*d^4*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 3/4*a^2*d^2*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 1/16*a^3*e^4*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 4/3*(c*x^2 + a)^(3/2)*d^3*e/c - 8/15*(c*x^2 + a)^(3/2)*a*d*e^3/c^2","A",0
526,1,149,0,1.355071," ","integrate((e*x+d)^3*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} e^{3} x^{2}}{5 \, c} + \frac{1}{2} \, \sqrt{c x^{2} + a} d^{3} x + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} d e^{2} x}{4 \, c} - \frac{3 \, \sqrt{c x^{2} + a} a d e^{2} x}{8 \, c} + \frac{a d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c}} - \frac{3 \, a^{2} d e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, c^{\frac{3}{2}}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} d^{2} e}{c} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a e^{3}}{15 \, c^{2}}"," ",0,"1/5*(c*x^2 + a)^(3/2)*e^3*x^2/c + 1/2*sqrt(c*x^2 + a)*d^3*x + 3/4*(c*x^2 + a)^(3/2)*d*e^2*x/c - 3/8*sqrt(c*x^2 + a)*a*d*e^2*x/c + 1/2*a*d^3*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 3/8*a^2*d*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + (c*x^2 + a)^(3/2)*d^2*e/c - 2/15*(c*x^2 + a)^(3/2)*a*e^3/c^2","A",0
527,1,107,0,1.382641," ","integrate((e*x+d)^2*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + a} d^{2} x + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} e^{2} x}{4 \, c} - \frac{\sqrt{c x^{2} + a} a e^{2} x}{8 \, c} + \frac{a d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c}} - \frac{a^{2} e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, c^{\frac{3}{2}}} + \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} d e}{3 \, c}"," ",0,"1/2*sqrt(c*x^2 + a)*d^2*x + 1/4*(c*x^2 + a)^(3/2)*e^2*x/c - 1/8*sqrt(c*x^2 + a)*a*e^2*x/c + 1/2*a*d^2*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 1/8*a^2*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 2/3*(c*x^2 + a)^(3/2)*d*e/c","A",0
528,1,45,0,1.340357," ","integrate((e*x+d)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + a} d x + \frac{a d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} e}{3 \, c}"," ",0,"1/2*sqrt(c*x^2 + a)*d*x + 1/2*a*d*arcsinh(c*x/sqrt(a*c))/sqrt(c) + 1/3*(c*x^2 + a)^(3/2)*e/c","A",0
529,1,84,0,1.545088," ","integrate((c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{c} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{2}} + \frac{\sqrt{a + \frac{c d^{2}}{e^{2}}} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e} + \frac{\sqrt{c x^{2} + a}}{e}"," ",0,"-sqrt(c)*d*arcsinh(c*x/sqrt(a*c))/e^2 + sqrt(a + c*d^2/e^2)*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e + sqrt(c*x^2 + a)/e","A",0
530,1,94,0,1.561530," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a}}{e^{2} x + d e} + \frac{\sqrt{c} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{2}} - \frac{c d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{3}}"," ",0,"-sqrt(c*x^2 + a)/(e^2*x + d*e) + sqrt(c)*arcsinh(c*x/sqrt(a*c))/e^2 - c*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^3)","A",0
531,1,243,0,1.660189," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a} c d}{2 \, {\left(c d^{2} e^{2} x + a e^{4} x + c d^{3} e + a d e^{3}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{2 \, {\left(c d^{2} e x^{2} + a e^{3} x^{2} + 2 \, c d^{3} x + 2 \, a d e^{2} x + \frac{c d^{4}}{e} + a d^{2} e\right)}} + \frac{\sqrt{c x^{2} + a} c}{2 \, {\left(c d^{2} e + a e^{3}\right)}} - \frac{c^{2} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{5}} + \frac{c \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} e^{3}}"," ",0,"-1/2*sqrt(c*x^2 + a)*c*d/(c*d^2*e^2*x + a*e^4*x + c*d^3*e + a*d*e^3) - 1/2*(c*x^2 + a)^(3/2)/(c*d^2*e*x^2 + a*e^3*x^2 + 2*c*d^3*x + 2*a*d*e^2*x + c*d^4/e + a*d^2*e) + 1/2*sqrt(c*x^2 + a)*c/(c*d^2*e + a*e^3) - 1/2*c^2*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^5) + 1/2*c*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^3)","B",0
532,1,428,0,1.756257," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a} c^{2} d^{2}}{2 \, {\left(c^{2} d^{4} e^{2} x + 2 \, a c d^{2} e^{4} x + a^{2} e^{6} x + c^{2} d^{5} e + 2 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c d}{2 \, {\left(c^{2} d^{4} e x^{2} + 2 \, a c d^{2} e^{3} x^{2} + a^{2} e^{5} x^{2} + 2 \, c^{2} d^{5} x + 4 \, a c d^{3} e^{2} x + 2 \, a^{2} d e^{4} x + \frac{c^{2} d^{6}}{e} + 2 \, a c d^{4} e + a^{2} d^{2} e^{3}\right)}} + \frac{\sqrt{c x^{2} + a} c^{2} d}{2 \, {\left(c^{2} d^{4} e + 2 \, a c d^{2} e^{3} + a^{2} e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{3 \, {\left(c d^{2} e^{2} x^{3} + a e^{4} x^{3} + 3 \, c d^{3} e x^{2} + 3 \, a d e^{3} x^{2} + 3 \, c d^{4} x + 3 \, a d^{2} e^{2} x + \frac{c d^{5}}{e} + a d^{3} e\right)}} - \frac{c^{3} d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{7}} + \frac{c^{2} d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{5}}"," ",0,"-1/2*sqrt(c*x^2 + a)*c^2*d^2/(c^2*d^4*e^2*x + 2*a*c*d^2*e^4*x + a^2*e^6*x + c^2*d^5*e + 2*a*c*d^3*e^3 + a^2*d*e^5) - 1/2*(c*x^2 + a)^(3/2)*c*d/(c^2*d^4*e*x^2 + 2*a*c*d^2*e^3*x^2 + a^2*e^5*x^2 + 2*c^2*d^5*x + 4*a*c*d^3*e^2*x + 2*a^2*d*e^4*x + c^2*d^6/e + 2*a*c*d^4*e + a^2*d^2*e^3) + 1/2*sqrt(c*x^2 + a)*c^2*d/(c^2*d^4*e + 2*a*c*d^2*e^3 + a^2*e^5) - 1/3*(c*x^2 + a)^(3/2)/(c*d^2*e^2*x^3 + a*e^4*x^3 + 3*c*d^3*e*x^2 + 3*a*d*e^3*x^2 + 3*c*d^4*x + 3*a*d^2*e^2*x + c*d^5/e + a*d^3*e) - 1/2*c^3*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^7) + 1/2*c^2*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^5)","B",0
533,1,977,0,2.157611," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{5 \, \sqrt{c x^{2} + a} c^{3} d^{3}}{8 \, {\left(c^{3} d^{6} e^{2} x + 3 \, a c^{2} d^{4} e^{4} x + 3 \, a^{2} c d^{2} e^{6} x + a^{3} e^{8} x + c^{3} d^{7} e + 3 \, a c^{2} d^{5} e^{3} + 3 \, a^{2} c d^{3} e^{5} + a^{3} d e^{7}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d^{2}}{8 \, {\left(c^{3} d^{6} e x^{2} + 3 \, a c^{2} d^{4} e^{3} x^{2} + 3 \, a^{2} c d^{2} e^{5} x^{2} + a^{3} e^{7} x^{2} + 2 \, c^{3} d^{7} x + 6 \, a c^{2} d^{5} e^{2} x + 6 \, a^{2} c d^{3} e^{4} x + 2 \, a^{3} d e^{6} x + \frac{c^{3} d^{8}}{e} + 3 \, a c^{2} d^{6} e + 3 \, a^{2} c d^{4} e^{3} + a^{3} d^{2} e^{5}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} c^{3} d^{2}}{8 \, {\left(c^{3} d^{6} e + 3 \, a c^{2} d^{4} e^{3} + 3 \, a^{2} c d^{2} e^{5} + a^{3} e^{7}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c d}{12 \, {\left(c^{2} d^{4} e^{2} x^{3} + 2 \, a c d^{2} e^{4} x^{3} + a^{2} e^{6} x^{3} + 3 \, c^{2} d^{5} e x^{2} + 6 \, a c d^{3} e^{3} x^{2} + 3 \, a^{2} d e^{5} x^{2} + 3 \, c^{2} d^{6} x + 6 \, a c d^{4} e^{2} x + 3 \, a^{2} d^{2} e^{4} x + \frac{c^{2} d^{7}}{e} + 2 \, a c d^{5} e + a^{2} d^{3} e^{3}\right)}} + \frac{\sqrt{c x^{2} + a} c^{2} d}{8 \, {\left(c^{2} d^{4} e^{2} x + 2 \, a c d^{2} e^{4} x + a^{2} e^{6} x + c^{2} d^{5} e + 2 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c}{8 \, {\left(c^{2} d^{4} e x^{2} + 2 \, a c d^{2} e^{3} x^{2} + a^{2} e^{5} x^{2} + 2 \, c^{2} d^{5} x + 4 \, a c d^{3} e^{2} x + 2 \, a^{2} d e^{4} x + \frac{c^{2} d^{6}}{e} + 2 \, a c d^{4} e + a^{2} d^{2} e^{3}\right)}} - \frac{\sqrt{c x^{2} + a} c^{2}}{8 \, {\left(c^{2} d^{4} e + 2 \, a c d^{2} e^{3} + a^{2} e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{4 \, {\left(c d^{2} e^{3} x^{4} + a e^{5} x^{4} + 4 \, c d^{3} e^{2} x^{3} + 4 \, a d e^{4} x^{3} + 6 \, c d^{4} e x^{2} + 6 \, a d^{2} e^{3} x^{2} + 4 \, c d^{5} x + 4 \, a d^{3} e^{2} x + \frac{c d^{6}}{e} + a d^{4} e\right)}} - \frac{5 \, c^{4} d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{9}} + \frac{3 \, c^{3} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{4 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{7}} - \frac{c^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{5}}"," ",0,"-5/8*sqrt(c*x^2 + a)*c^3*d^3/(c^3*d^6*e^2*x + 3*a*c^2*d^4*e^4*x + 3*a^2*c*d^2*e^6*x + a^3*e^8*x + c^3*d^7*e + 3*a*c^2*d^5*e^3 + 3*a^2*c*d^3*e^5 + a^3*d*e^7) - 5/8*(c*x^2 + a)^(3/2)*c^2*d^2/(c^3*d^6*e*x^2 + 3*a*c^2*d^4*e^3*x^2 + 3*a^2*c*d^2*e^5*x^2 + a^3*e^7*x^2 + 2*c^3*d^7*x + 6*a*c^2*d^5*e^2*x + 6*a^2*c*d^3*e^4*x + 2*a^3*d*e^6*x + c^3*d^8/e + 3*a*c^2*d^6*e + 3*a^2*c*d^4*e^3 + a^3*d^2*e^5) + 5/8*sqrt(c*x^2 + a)*c^3*d^2/(c^3*d^6*e + 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 + a^3*e^7) - 5/12*(c*x^2 + a)^(3/2)*c*d/(c^2*d^4*e^2*x^3 + 2*a*c*d^2*e^4*x^3 + a^2*e^6*x^3 + 3*c^2*d^5*e*x^2 + 6*a*c*d^3*e^3*x^2 + 3*a^2*d*e^5*x^2 + 3*c^2*d^6*x + 6*a*c*d^4*e^2*x + 3*a^2*d^2*e^4*x + c^2*d^7/e + 2*a*c*d^5*e + a^2*d^3*e^3) + 1/8*sqrt(c*x^2 + a)*c^2*d/(c^2*d^4*e^2*x + 2*a*c*d^2*e^4*x + a^2*e^6*x + c^2*d^5*e + 2*a*c*d^3*e^3 + a^2*d*e^5) + 1/8*(c*x^2 + a)^(3/2)*c/(c^2*d^4*e*x^2 + 2*a*c*d^2*e^3*x^2 + a^2*e^5*x^2 + 2*c^2*d^5*x + 4*a*c*d^3*e^2*x + 2*a^2*d*e^4*x + c^2*d^6/e + 2*a*c*d^4*e + a^2*d^2*e^3) - 1/8*sqrt(c*x^2 + a)*c^2/(c^2*d^4*e + 2*a*c*d^2*e^3 + a^2*e^5) - 1/4*(c*x^2 + a)^(3/2)/(c*d^2*e^3*x^4 + a*e^5*x^4 + 4*c*d^3*e^2*x^3 + 4*a*d*e^4*x^3 + 6*c*d^4*e*x^2 + 6*a*d^2*e^3*x^2 + 4*c*d^5*x + 4*a*d^3*e^2*x + c*d^6/e + a*d^4*e) - 5/8*c^4*d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^9) + 3/4*c^3*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^7) - 1/8*c^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^5)","B",0
534,1,300,0,1.436631," ","integrate((e*x+d)^4*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} e^{4} x^{3}}{8 \, c} + \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} d e^{3} x^{2}}{7 \, c} + \frac{1}{4} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} d^{4} x + \frac{3}{8} \, \sqrt{c x^{2} + a} a d^{4} x + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} d^{2} e^{2} x}{c} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} a d^{2} e^{2} x}{4 \, c} - \frac{3 \, \sqrt{c x^{2} + a} a^{2} d^{2} e^{2} x}{8 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} a e^{4} x}{16 \, c^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} e^{4} x}{64 \, c^{2}} + \frac{3 \, \sqrt{c x^{2} + a} a^{3} e^{4} x}{128 \, c^{2}} + \frac{3 \, a^{2} d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{c}} - \frac{3 \, a^{3} d^{2} e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, c^{\frac{3}{2}}} + \frac{3 \, a^{4} e^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, c^{\frac{5}{2}}} + \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} d^{3} e}{5 \, c} - \frac{8 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} a d e^{3}}{35 \, c^{2}}"," ",0,"1/8*(c*x^2 + a)^(5/2)*e^4*x^3/c + 4/7*(c*x^2 + a)^(5/2)*d*e^3*x^2/c + 1/4*(c*x^2 + a)^(3/2)*d^4*x + 3/8*sqrt(c*x^2 + a)*a*d^4*x + (c*x^2 + a)^(5/2)*d^2*e^2*x/c - 1/4*(c*x^2 + a)^(3/2)*a*d^2*e^2*x/c - 3/8*sqrt(c*x^2 + a)*a^2*d^2*e^2*x/c - 1/16*(c*x^2 + a)^(5/2)*a*e^4*x/c^2 + 1/64*(c*x^2 + a)^(3/2)*a^2*e^4*x/c^2 + 3/128*sqrt(c*x^2 + a)*a^3*e^4*x/c^2 + 3/8*a^2*d^4*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 3/8*a^3*d^2*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 3/128*a^4*e^4*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 4/5*(c*x^2 + a)^(5/2)*d^3*e/c - 8/35*(c*x^2 + a)^(5/2)*a*d*e^3/c^2","A",0
535,1,190,0,1.390131," ","integrate((e*x+d)^3*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} e^{3} x^{2}}{7 \, c} + \frac{1}{4} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} d^{3} x + \frac{3}{8} \, \sqrt{c x^{2} + a} a d^{3} x + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} d e^{2} x}{2 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} a d e^{2} x}{8 \, c} - \frac{3 \, \sqrt{c x^{2} + a} a^{2} d e^{2} x}{16 \, c} + \frac{3 \, a^{2} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{c}} - \frac{3 \, a^{3} d e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, c^{\frac{3}{2}}} + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} d^{2} e}{5 \, c} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} a e^{3}}{35 \, c^{2}}"," ",0,"1/7*(c*x^2 + a)^(5/2)*e^3*x^2/c + 1/4*(c*x^2 + a)^(3/2)*d^3*x + 3/8*sqrt(c*x^2 + a)*a*d^3*x + 1/2*(c*x^2 + a)^(5/2)*d*e^2*x/c - 1/8*(c*x^2 + a)^(3/2)*a*d*e^2*x/c - 3/16*sqrt(c*x^2 + a)*a^2*d*e^2*x/c + 3/8*a^2*d^3*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 3/16*a^3*d*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 3/5*(c*x^2 + a)^(5/2)*d^2*e/c - 2/35*(c*x^2 + a)^(5/2)*a*e^3/c^2","A",0
536,1,146,0,1.352462," ","integrate((e*x+d)^2*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} d^{2} x + \frac{3}{8} \, \sqrt{c x^{2} + a} a d^{2} x + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} e^{2} x}{6 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} a e^{2} x}{24 \, c} - \frac{\sqrt{c x^{2} + a} a^{2} e^{2} x}{16 \, c} + \frac{3 \, a^{2} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{c}} - \frac{a^{3} e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, c^{\frac{3}{2}}} + \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} d e}{5 \, c}"," ",0,"1/4*(c*x^2 + a)^(3/2)*d^2*x + 3/8*sqrt(c*x^2 + a)*a*d^2*x + 1/6*(c*x^2 + a)^(5/2)*e^2*x/c - 1/24*(c*x^2 + a)^(3/2)*a*e^2*x/c - 1/16*sqrt(c*x^2 + a)*a^2*e^2*x/c + 3/8*a^2*d^2*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 1/16*a^3*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 2/5*(c*x^2 + a)^(5/2)*d*e/c","A",0
537,1,61,0,1.407746," ","integrate((e*x+d)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} d x + \frac{3}{8} \, \sqrt{c x^{2} + a} a d x + \frac{3 \, a^{2} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{c}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} e}{5 \, c}"," ",0,"1/4*(c*x^2 + a)^(3/2)*d*x + 3/8*sqrt(c*x^2 + a)*a*d*x + 3/8*a^2*d*arcsinh(c*x/sqrt(a*c))/sqrt(c) + 1/5*(c*x^2 + a)^(5/2)*e/c","A",0
538,1,154,0,1.627119," ","integrate((c*x^2+a)^(3/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a} c d x}{2 \, e^{2}} - \frac{c^{\frac{3}{2}} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{4}} - \frac{3 \, a \sqrt{c} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, e^{2}} + \frac{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e} + \frac{\sqrt{c x^{2} + a} c d^{2}}{e^{3}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{3 \, e} + \frac{\sqrt{c x^{2} + a} a}{e}"," ",0,"-1/2*sqrt(c*x^2 + a)*c*d*x/e^2 - c^(3/2)*d^3*arcsinh(c*x/sqrt(a*c))/e^4 - 3/2*a*sqrt(c)*d*arcsinh(c*x/sqrt(a*c))/e^2 + (a + c*d^2/e^2)^(3/2)*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e + sqrt(c*x^2 + a)*c*d^2/e^3 + 1/3*(c*x^2 + a)^(3/2)/e + sqrt(c*x^2 + a)*a/e","A",0
539,1,148,0,1.676244," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{e^{2} x + d e} + \frac{3 \, \sqrt{c x^{2} + a} c x}{2 \, e^{2}} + \frac{3 \, c^{\frac{3}{2}} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{4}} + \frac{3 \, a \sqrt{c} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, e^{2}} - \frac{3 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} c d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e^{3}} - \frac{3 \, \sqrt{c x^{2} + a} c d}{e^{3}}"," ",0,"-(c*x^2 + a)^(3/2)/(e^2*x + d*e) + 3/2*sqrt(c*x^2 + a)*c*x/e^2 + 3*c^(3/2)*d^2*arcsinh(c*x/sqrt(a*c))/e^4 + 3/2*a*sqrt(c)*arcsinh(c*x/sqrt(a*c))/e^2 - 3*sqrt(a + c*d^2/e^2)*c*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^3 - 3*sqrt(c*x^2 + a)*c*d/e^3","A",0
540,1,341,0,1.886957," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{3 \, \sqrt{c x^{2} + a} c^{2} d^{2}}{2 \, {\left(c d^{2} e^{3} + a e^{5}\right)}} - \frac{3 \, \sqrt{c x^{2} + a} c^{2} d x}{2 \, {\left(c d^{2} e^{2} + a e^{4}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c d}{2 \, {\left(c d^{2} e^{2} x + a e^{4} x + c d^{3} e + a d e^{3}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{2 \, {\left(c d^{2} e x^{2} + a e^{3} x^{2} + 2 \, c d^{3} x + 2 \, a d e^{2} x + \frac{c d^{4}}{e} + a d^{2} e\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c}{2 \, {\left(c d^{2} e + a e^{3}\right)}} - \frac{3 \, c^{\frac{3}{2}} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{4}} + \frac{3 \, c^{2} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} e^{5}} + \frac{3 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} c \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, e^{3}} + \frac{3 \, \sqrt{c x^{2} + a} c}{2 \, e^{3}}"," ",0,"3/2*sqrt(c*x^2 + a)*c^2*d^2/(c*d^2*e^3 + a*e^5) - 3/2*sqrt(c*x^2 + a)*c^2*d*x/(c*d^2*e^2 + a*e^4) + 1/2*(c*x^2 + a)^(3/2)*c*d/(c*d^2*e^2*x + a*e^4*x + c*d^3*e + a*d*e^3) - 1/2*(c*x^2 + a)^(5/2)/(c*d^2*e*x^2 + a*e^3*x^2 + 2*c*d^3*x + 2*a*d*e^2*x + c*d^4/e + a*d^2*e) + 1/2*(c*x^2 + a)^(3/2)*c/(c*d^2*e + a*e^3) - 3*c^(3/2)*d*arcsinh(c*x/sqrt(a*c))/e^4 + 3/2*c^2*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^5) + 3/2*sqrt(a + c*d^2/e^2)*c*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^3 + 3/2*sqrt(c*x^2 + a)*c/e^3","B",0
541,1,642,0,2.051773," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} c^{3} d^{3}}{2 \, {\left(c^{2} d^{4} e^{3} + 2 \, a c d^{2} e^{5} + a^{2} e^{7}\right)}} - \frac{\sqrt{c x^{2} + a} c^{3} d^{2} x}{2 \, {\left(c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d^{2}}{6 \, {\left(c^{2} d^{4} e^{2} x + 2 \, a c d^{2} e^{4} x + a^{2} e^{6} x + c^{2} d^{5} e + 2 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c d}{6 \, {\left(c^{2} d^{4} e x^{2} + 2 \, a c d^{2} e^{3} x^{2} + a^{2} e^{5} x^{2} + 2 \, c^{2} d^{5} x + 4 \, a c d^{3} e^{2} x + 2 \, a^{2} d e^{4} x + \frac{c^{2} d^{6}}{e} + 2 \, a c d^{4} e + a^{2} d^{2} e^{3}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d}{6 \, {\left(c^{2} d^{4} e + 2 \, a c d^{2} e^{3} + a^{2} e^{5}\right)}} - \frac{3 \, \sqrt{c x^{2} + a} c^{2} d}{2 \, {\left(c d^{2} e^{3} + a e^{5}\right)}} + \frac{\sqrt{c x^{2} + a} c^{2} x}{c d^{2} e^{2} + a e^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{3 \, {\left(c d^{2} e^{2} x^{3} + a e^{4} x^{3} + 3 \, c d^{3} e x^{2} + 3 \, a d e^{3} x^{2} + 3 \, c d^{4} x + 3 \, a d^{2} e^{2} x + \frac{c d^{5}}{e} + a d^{3} e\right)}} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c}{3 \, {\left(c d^{2} e^{2} x + a e^{4} x + c d^{3} e + a d e^{3}\right)}} + \frac{c^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{4}} + \frac{c^{3} d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{7}} - \frac{3 \, c^{2} d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} e^{5}}"," ",0,"1/2*sqrt(c*x^2 + a)*c^3*d^3/(c^2*d^4*e^3 + 2*a*c*d^2*e^5 + a^2*e^7) - 1/2*sqrt(c*x^2 + a)*c^3*d^2*x/(c^2*d^4*e^2 + 2*a*c*d^2*e^4 + a^2*e^6) + 1/6*(c*x^2 + a)^(3/2)*c^2*d^2/(c^2*d^4*e^2*x + 2*a*c*d^2*e^4*x + a^2*e^6*x + c^2*d^5*e + 2*a*c*d^3*e^3 + a^2*d*e^5) - 1/6*(c*x^2 + a)^(5/2)*c*d/(c^2*d^4*e*x^2 + 2*a*c*d^2*e^3*x^2 + a^2*e^5*x^2 + 2*c^2*d^5*x + 4*a*c*d^3*e^2*x + 2*a^2*d*e^4*x + c^2*d^6/e + 2*a*c*d^4*e + a^2*d^2*e^3) + 1/6*(c*x^2 + a)^(3/2)*c^2*d/(c^2*d^4*e + 2*a*c*d^2*e^3 + a^2*e^5) - 3/2*sqrt(c*x^2 + a)*c^2*d/(c*d^2*e^3 + a*e^5) + sqrt(c*x^2 + a)*c^2*x/(c*d^2*e^2 + a*e^4) - 1/3*(c*x^2 + a)^(5/2)/(c*d^2*e^2*x^3 + a*e^4*x^3 + 3*c*d^3*e*x^2 + 3*a*d*e^3*x^2 + 3*c*d^4*x + 3*a*d^2*e^2*x + c*d^5/e + a*d^3*e) - 2/3*(c*x^2 + a)^(3/2)*c/(c*d^2*e^2*x + a*e^4*x + c*d^3*e + a*d*e^3) + c^(3/2)*arcsinh(c*x/sqrt(a*c))/e^4 + 1/2*c^3*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^7) - 3/2*c^2*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^5)","B",0
542,1,1223,0,2.420102," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^5,x, algorithm=""maxima"")","\frac{3 \, \sqrt{c x^{2} + a} c^{4} d^{4}}{8 \, {\left(c^{3} d^{6} e^{3} + 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} + a^{3} e^{9}\right)}} - \frac{3 \, \sqrt{c x^{2} + a} c^{4} d^{3} x}{8 \, {\left(c^{3} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d^{3}}{8 \, {\left(c^{3} d^{6} e^{2} x + 3 \, a c^{2} d^{4} e^{4} x + 3 \, a^{2} c d^{2} e^{6} x + a^{3} e^{8} x + c^{3} d^{7} e + 3 \, a c^{2} d^{5} e^{3} + 3 \, a^{2} c d^{3} e^{5} + a^{3} d e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2} d^{2}}{8 \, {\left(c^{3} d^{6} e x^{2} + 3 \, a c^{2} d^{4} e^{3} x^{2} + 3 \, a^{2} c d^{2} e^{5} x^{2} + a^{3} e^{7} x^{2} + 2 \, c^{3} d^{7} x + 6 \, a c^{2} d^{5} e^{2} x + 6 \, a^{2} c d^{3} e^{4} x + 2 \, a^{3} d e^{6} x + \frac{c^{3} d^{8}}{e} + 3 \, a c^{2} d^{6} e + 3 \, a^{2} c d^{4} e^{3} + a^{3} d^{2} e^{5}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d^{2}}{8 \, {\left(c^{3} d^{6} e + 3 \, a c^{2} d^{4} e^{3} + 3 \, a^{2} c d^{2} e^{5} + a^{3} e^{7}\right)}} - \frac{3 \, \sqrt{c x^{2} + a} c^{3} d^{2}}{4 \, {\left(c^{2} d^{4} e^{3} + 2 \, a c d^{2} e^{5} + a^{2} e^{7}\right)}} + \frac{3 \, \sqrt{c x^{2} + a} c^{3} d x}{8 \, {\left(c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c d}{4 \, {\left(c^{2} d^{4} e^{2} x^{3} + 2 \, a c d^{2} e^{4} x^{3} + a^{2} e^{6} x^{3} + 3 \, c^{2} d^{5} e x^{2} + 6 \, a c d^{3} e^{3} x^{2} + 3 \, a^{2} d e^{5} x^{2} + 3 \, c^{2} d^{6} x + 6 \, a c d^{4} e^{2} x + 3 \, a^{2} d^{2} e^{4} x + \frac{c^{2} d^{7}}{e} + 2 \, a c d^{5} e + a^{2} d^{3} e^{3}\right)}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d}{8 \, {\left(c^{2} d^{4} e^{2} x + 2 \, a c d^{2} e^{4} x + a^{2} e^{6} x + c^{2} d^{5} e + 2 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c}{8 \, {\left(c^{2} d^{4} e x^{2} + 2 \, a c d^{2} e^{3} x^{2} + a^{2} e^{5} x^{2} + 2 \, c^{2} d^{5} x + 4 \, a c d^{3} e^{2} x + 2 \, a^{2} d e^{4} x + \frac{c^{2} d^{6}}{e} + 2 \, a c d^{4} e + a^{2} d^{2} e^{3}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}}{8 \, {\left(c^{2} d^{4} e + 2 \, a c d^{2} e^{3} + a^{2} e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{4 \, {\left(c d^{2} e^{3} x^{4} + a e^{5} x^{4} + 4 \, c d^{3} e^{2} x^{3} + 4 \, a d e^{4} x^{3} + 6 \, c d^{4} e x^{2} + 6 \, a d^{2} e^{3} x^{2} + 4 \, c d^{5} x + 4 \, a d^{3} e^{2} x + \frac{c d^{6}}{e} + a d^{4} e\right)}} + \frac{3 \, \sqrt{c x^{2} + a} c^{2}}{8 \, {\left(c d^{2} e^{3} + a e^{5}\right)}} + \frac{3 \, c^{4} d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{9}} - \frac{3 \, c^{3} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{4 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{7}} + \frac{3 \, c^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} e^{5}}"," ",0,"3/8*sqrt(c*x^2 + a)*c^4*d^4/(c^3*d^6*e^3 + 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 + a^3*e^9) - 3/8*sqrt(c*x^2 + a)*c^4*d^3*x/(c^3*d^6*e^2 + 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 + a^3*e^8) + 1/8*(c*x^2 + a)^(3/2)*c^3*d^3/(c^3*d^6*e^2*x + 3*a*c^2*d^4*e^4*x + 3*a^2*c*d^2*e^6*x + a^3*e^8*x + c^3*d^7*e + 3*a*c^2*d^5*e^3 + 3*a^2*c*d^3*e^5 + a^3*d*e^7) - 1/8*(c*x^2 + a)^(5/2)*c^2*d^2/(c^3*d^6*e*x^2 + 3*a*c^2*d^4*e^3*x^2 + 3*a^2*c*d^2*e^5*x^2 + a^3*e^7*x^2 + 2*c^3*d^7*x + 6*a*c^2*d^5*e^2*x + 6*a^2*c*d^3*e^4*x + 2*a^3*d*e^6*x + c^3*d^8/e + 3*a*c^2*d^6*e + 3*a^2*c*d^4*e^3 + a^3*d^2*e^5) + 1/8*(c*x^2 + a)^(3/2)*c^3*d^2/(c^3*d^6*e + 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 + a^3*e^7) - 3/4*sqrt(c*x^2 + a)*c^3*d^2/(c^2*d^4*e^3 + 2*a*c*d^2*e^5 + a^2*e^7) + 3/8*sqrt(c*x^2 + a)*c^3*d*x/(c^2*d^4*e^2 + 2*a*c*d^2*e^4 + a^2*e^6) - 1/4*(c*x^2 + a)^(5/2)*c*d/(c^2*d^4*e^2*x^3 + 2*a*c*d^2*e^4*x^3 + a^2*e^6*x^3 + 3*c^2*d^5*e*x^2 + 6*a*c*d^3*e^3*x^2 + 3*a^2*d*e^5*x^2 + 3*c^2*d^6*x + 6*a*c*d^4*e^2*x + 3*a^2*d^2*e^4*x + c^2*d^7/e + 2*a*c*d^5*e + a^2*d^3*e^3) - 3/8*(c*x^2 + a)^(3/2)*c^2*d/(c^2*d^4*e^2*x + 2*a*c*d^2*e^4*x + a^2*e^6*x + c^2*d^5*e + 2*a*c*d^3*e^3 + a^2*d*e^5) - 1/8*(c*x^2 + a)^(5/2)*c/(c^2*d^4*e*x^2 + 2*a*c*d^2*e^3*x^2 + a^2*e^5*x^2 + 2*c^2*d^5*x + 4*a*c*d^3*e^2*x + 2*a^2*d*e^4*x + c^2*d^6/e + 2*a*c*d^4*e + a^2*d^2*e^3) + 1/8*(c*x^2 + a)^(3/2)*c^2/(c^2*d^4*e + 2*a*c*d^2*e^3 + a^2*e^5) - 1/4*(c*x^2 + a)^(5/2)/(c*d^2*e^3*x^4 + a*e^5*x^4 + 4*c*d^3*e^2*x^3 + 4*a*d*e^4*x^3 + 6*c*d^4*e*x^2 + 6*a*d^2*e^3*x^2 + 4*c*d^5*x + 4*a*d^3*e^2*x + c*d^6/e + a*d^4*e) + 3/8*sqrt(c*x^2 + a)*c^2/(c*d^2*e^3 + a*e^5) + 3/8*c^4*d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^9) - 3/4*c^3*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^7) + 3/8*c^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^5)","B",0
543,1,1762,0,2.727664," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^6,x, algorithm=""maxima"")","\frac{3 \, \sqrt{c x^{2} + a} c^{5} d^{5}}{8 \, {\left(c^{4} d^{8} e^{3} + 4 \, a c^{3} d^{6} e^{5} + 6 \, a^{2} c^{2} d^{4} e^{7} + 4 \, a^{3} c d^{2} e^{9} + a^{4} e^{11}\right)}} - \frac{3 \, \sqrt{c x^{2} + a} c^{5} d^{4} x}{8 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d^{4}}{8 \, {\left(c^{4} d^{8} e^{2} x + 4 \, a c^{3} d^{6} e^{4} x + 6 \, a^{2} c^{2} d^{4} e^{6} x + 4 \, a^{3} c d^{2} e^{8} x + a^{4} e^{10} x + c^{4} d^{9} e + 4 \, a c^{3} d^{7} e^{3} + 6 \, a^{2} c^{2} d^{5} e^{5} + 4 \, a^{3} c d^{3} e^{7} + a^{4} d e^{9}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{3} d^{3}}{8 \, {\left(c^{4} d^{8} e x^{2} + 4 \, a c^{3} d^{6} e^{3} x^{2} + 6 \, a^{2} c^{2} d^{4} e^{5} x^{2} + 4 \, a^{3} c d^{2} e^{7} x^{2} + a^{4} e^{9} x^{2} + 2 \, c^{4} d^{9} x + 8 \, a c^{3} d^{7} e^{2} x + 12 \, a^{2} c^{2} d^{5} e^{4} x + 8 \, a^{3} c d^{3} e^{6} x + 2 \, a^{4} d e^{8} x + \frac{c^{4} d^{10}}{e} + 4 \, a c^{3} d^{8} e + 6 \, a^{2} c^{2} d^{6} e^{3} + 4 \, a^{3} c d^{4} e^{5} + a^{4} d^{2} e^{7}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d^{3}}{8 \, {\left(c^{4} d^{8} e + 4 \, a c^{3} d^{6} e^{3} + 6 \, a^{2} c^{2} d^{4} e^{5} + 4 \, a^{3} c d^{2} e^{7} + a^{4} e^{9}\right)}} - \frac{3 \, \sqrt{c x^{2} + a} c^{4} d^{3}}{4 \, {\left(c^{3} d^{6} e^{3} + 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} + a^{3} e^{9}\right)}} + \frac{3 \, \sqrt{c x^{2} + a} c^{4} d^{2} x}{8 \, {\left(c^{3} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2} d^{2}}{4 \, {\left(c^{3} d^{6} e^{2} x^{3} + 3 \, a c^{2} d^{4} e^{4} x^{3} + 3 \, a^{2} c d^{2} e^{6} x^{3} + a^{3} e^{8} x^{3} + 3 \, c^{3} d^{7} e x^{2} + 9 \, a c^{2} d^{5} e^{3} x^{2} + 9 \, a^{2} c d^{3} e^{5} x^{2} + 3 \, a^{3} d e^{7} x^{2} + 3 \, c^{3} d^{8} x + 9 \, a c^{2} d^{6} e^{2} x + 9 \, a^{2} c d^{4} e^{4} x + 3 \, a^{3} d^{2} e^{6} x + \frac{c^{3} d^{9}}{e} + 3 \, a c^{2} d^{7} e + 3 \, a^{2} c d^{5} e^{3} + a^{3} d^{3} e^{5}\right)}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d^{2}}{8 \, {\left(c^{3} d^{6} e^{2} x + 3 \, a c^{2} d^{4} e^{4} x + 3 \, a^{2} c d^{2} e^{6} x + a^{3} e^{8} x + c^{3} d^{7} e + 3 \, a c^{2} d^{5} e^{3} + 3 \, a^{2} c d^{3} e^{5} + a^{3} d e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2} d}{8 \, {\left(c^{3} d^{6} e x^{2} + 3 \, a c^{2} d^{4} e^{3} x^{2} + 3 \, a^{2} c d^{2} e^{5} x^{2} + a^{3} e^{7} x^{2} + 2 \, c^{3} d^{7} x + 6 \, a c^{2} d^{5} e^{2} x + 6 \, a^{2} c d^{3} e^{4} x + 2 \, a^{3} d e^{6} x + \frac{c^{3} d^{8}}{e} + 3 \, a c^{2} d^{6} e + 3 \, a^{2} c d^{4} e^{3} + a^{3} d^{2} e^{5}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d}{8 \, {\left(c^{3} d^{6} e + 3 \, a c^{2} d^{4} e^{3} + 3 \, a^{2} c d^{2} e^{5} + a^{3} e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c d}{4 \, {\left(c^{2} d^{4} e^{3} x^{4} + 2 \, a c d^{2} e^{5} x^{4} + a^{2} e^{7} x^{4} + 4 \, c^{2} d^{5} e^{2} x^{3} + 8 \, a c d^{3} e^{4} x^{3} + 4 \, a^{2} d e^{6} x^{3} + 6 \, c^{2} d^{6} e x^{2} + 12 \, a c d^{4} e^{3} x^{2} + 6 \, a^{2} d^{2} e^{5} x^{2} + 4 \, c^{2} d^{7} x + 8 \, a c d^{5} e^{2} x + 4 \, a^{2} d^{3} e^{4} x + \frac{c^{2} d^{8}}{e} + 2 \, a c d^{6} e + a^{2} d^{4} e^{3}\right)}} + \frac{3 \, \sqrt{c x^{2} + a} c^{3} d}{8 \, {\left(c^{2} d^{4} e^{3} + 2 \, a c d^{2} e^{5} + a^{2} e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{5 \, {\left(c d^{2} e^{4} x^{5} + a e^{6} x^{5} + 5 \, c d^{3} e^{3} x^{4} + 5 \, a d e^{5} x^{4} + 10 \, c d^{4} e^{2} x^{3} + 10 \, a d^{2} e^{4} x^{3} + 10 \, c d^{5} e x^{2} + 10 \, a d^{3} e^{3} x^{2} + 5 \, c d^{6} x + 5 \, a d^{4} e^{2} x + \frac{c d^{7}}{e} + a d^{5} e\right)}} + \frac{3 \, c^{5} d^{5} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{11}} - \frac{3 \, c^{4} d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{4 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{9}} + \frac{3 \, c^{3} d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{7}}"," ",0,"3/8*sqrt(c*x^2 + a)*c^5*d^5/(c^4*d^8*e^3 + 4*a*c^3*d^6*e^5 + 6*a^2*c^2*d^4*e^7 + 4*a^3*c*d^2*e^9 + a^4*e^11) - 3/8*sqrt(c*x^2 + a)*c^5*d^4*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) + 1/8*(c*x^2 + a)^(3/2)*c^4*d^4/(c^4*d^8*e^2*x + 4*a*c^3*d^6*e^4*x + 6*a^2*c^2*d^4*e^6*x + 4*a^3*c*d^2*e^8*x + a^4*e^10*x + c^4*d^9*e + 4*a*c^3*d^7*e^3 + 6*a^2*c^2*d^5*e^5 + 4*a^3*c*d^3*e^7 + a^4*d*e^9) - 1/8*(c*x^2 + a)^(5/2)*c^3*d^3/(c^4*d^8*e*x^2 + 4*a*c^3*d^6*e^3*x^2 + 6*a^2*c^2*d^4*e^5*x^2 + 4*a^3*c*d^2*e^7*x^2 + a^4*e^9*x^2 + 2*c^4*d^9*x + 8*a*c^3*d^7*e^2*x + 12*a^2*c^2*d^5*e^4*x + 8*a^3*c*d^3*e^6*x + 2*a^4*d*e^8*x + c^4*d^10/e + 4*a*c^3*d^8*e + 6*a^2*c^2*d^6*e^3 + 4*a^3*c*d^4*e^5 + a^4*d^2*e^7) + 1/8*(c*x^2 + a)^(3/2)*c^4*d^3/(c^4*d^8*e + 4*a*c^3*d^6*e^3 + 6*a^2*c^2*d^4*e^5 + 4*a^3*c*d^2*e^7 + a^4*e^9) - 3/4*sqrt(c*x^2 + a)*c^4*d^3/(c^3*d^6*e^3 + 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 + a^3*e^9) + 3/8*sqrt(c*x^2 + a)*c^4*d^2*x/(c^3*d^6*e^2 + 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 + a^3*e^8) - 1/4*(c*x^2 + a)^(5/2)*c^2*d^2/(c^3*d^6*e^2*x^3 + 3*a*c^2*d^4*e^4*x^3 + 3*a^2*c*d^2*e^6*x^3 + a^3*e^8*x^3 + 3*c^3*d^7*e*x^2 + 9*a*c^2*d^5*e^3*x^2 + 9*a^2*c*d^3*e^5*x^2 + 3*a^3*d*e^7*x^2 + 3*c^3*d^8*x + 9*a*c^2*d^6*e^2*x + 9*a^2*c*d^4*e^4*x + 3*a^3*d^2*e^6*x + c^3*d^9/e + 3*a*c^2*d^7*e + 3*a^2*c*d^5*e^3 + a^3*d^3*e^5) - 3/8*(c*x^2 + a)^(3/2)*c^3*d^2/(c^3*d^6*e^2*x + 3*a*c^2*d^4*e^4*x + 3*a^2*c*d^2*e^6*x + a^3*e^8*x + c^3*d^7*e + 3*a*c^2*d^5*e^3 + 3*a^2*c*d^3*e^5 + a^3*d*e^7) - 1/8*(c*x^2 + a)^(5/2)*c^2*d/(c^3*d^6*e*x^2 + 3*a*c^2*d^4*e^3*x^2 + 3*a^2*c*d^2*e^5*x^2 + a^3*e^7*x^2 + 2*c^3*d^7*x + 6*a*c^2*d^5*e^2*x + 6*a^2*c*d^3*e^4*x + 2*a^3*d*e^6*x + c^3*d^8/e + 3*a*c^2*d^6*e + 3*a^2*c*d^4*e^3 + a^3*d^2*e^5) + 1/8*(c*x^2 + a)^(3/2)*c^3*d/(c^3*d^6*e + 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 + a^3*e^7) - 1/4*(c*x^2 + a)^(5/2)*c*d/(c^2*d^4*e^3*x^4 + 2*a*c*d^2*e^5*x^4 + a^2*e^7*x^4 + 4*c^2*d^5*e^2*x^3 + 8*a*c*d^3*e^4*x^3 + 4*a^2*d*e^6*x^3 + 6*c^2*d^6*e*x^2 + 12*a*c*d^4*e^3*x^2 + 6*a^2*d^2*e^5*x^2 + 4*c^2*d^7*x + 8*a*c*d^5*e^2*x + 4*a^2*d^3*e^4*x + c^2*d^8/e + 2*a*c*d^6*e + a^2*d^4*e^3) + 3/8*sqrt(c*x^2 + a)*c^3*d/(c^2*d^4*e^3 + 2*a*c*d^2*e^5 + a^2*e^7) - 1/5*(c*x^2 + a)^(5/2)/(c*d^2*e^4*x^5 + a*e^6*x^5 + 5*c*d^3*e^3*x^4 + 5*a*d*e^5*x^4 + 10*c*d^4*e^2*x^3 + 10*a*d^2*e^4*x^3 + 10*c*d^5*e*x^2 + 10*a*d^3*e^3*x^2 + 5*c*d^6*x + 5*a*d^4*e^2*x + c*d^7/e + a*d^5*e) + 3/8*c^5*d^5*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^11) - 3/4*c^4*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^9) + 3/8*c^3*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^7)","B",0
544,1,3297,0,3.631782," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^7,x, algorithm=""maxima"")","\frac{7 \, \sqrt{c x^{2} + a} c^{6} d^{6}}{16 \, {\left(c^{5} d^{10} e^{3} + 5 \, a c^{4} d^{8} e^{5} + 10 \, a^{2} c^{3} d^{6} e^{7} + 10 \, a^{3} c^{2} d^{4} e^{9} + 5 \, a^{4} c d^{2} e^{11} + a^{5} e^{13}\right)}} - \frac{7 \, \sqrt{c x^{2} + a} c^{6} d^{5} x}{16 \, {\left(c^{5} d^{10} e^{2} + 5 \, a c^{4} d^{8} e^{4} + 10 \, a^{2} c^{3} d^{6} e^{6} + 10 \, a^{3} c^{2} d^{4} e^{8} + 5 \, a^{4} c d^{2} e^{10} + a^{5} e^{12}\right)}} + \frac{7 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d^{5}}{48 \, {\left(c^{5} d^{10} e^{2} x + 5 \, a c^{4} d^{8} e^{4} x + 10 \, a^{2} c^{3} d^{6} e^{6} x + 10 \, a^{3} c^{2} d^{4} e^{8} x + 5 \, a^{4} c d^{2} e^{10} x + a^{5} e^{12} x + c^{5} d^{11} e + 5 \, a c^{4} d^{9} e^{3} + 10 \, a^{2} c^{3} d^{7} e^{5} + 10 \, a^{3} c^{2} d^{5} e^{7} + 5 \, a^{4} c d^{3} e^{9} + a^{5} d e^{11}\right)}} - \frac{7 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{4} d^{4}}{48 \, {\left(c^{5} d^{10} e x^{2} + 5 \, a c^{4} d^{8} e^{3} x^{2} + 10 \, a^{2} c^{3} d^{6} e^{5} x^{2} + 10 \, a^{3} c^{2} d^{4} e^{7} x^{2} + 5 \, a^{4} c d^{2} e^{9} x^{2} + a^{5} e^{11} x^{2} + 2 \, c^{5} d^{11} x + 10 \, a c^{4} d^{9} e^{2} x + 20 \, a^{2} c^{3} d^{7} e^{4} x + 20 \, a^{3} c^{2} d^{5} e^{6} x + 10 \, a^{4} c d^{3} e^{8} x + 2 \, a^{5} d e^{10} x + \frac{c^{5} d^{12}}{e} + 5 \, a c^{4} d^{10} e + 10 \, a^{2} c^{3} d^{8} e^{3} + 10 \, a^{3} c^{2} d^{6} e^{5} + 5 \, a^{4} c d^{4} e^{7} + a^{5} d^{2} e^{9}\right)}} + \frac{7 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d^{4}}{48 \, {\left(c^{5} d^{10} e + 5 \, a c^{4} d^{8} e^{3} + 10 \, a^{2} c^{3} d^{6} e^{5} + 10 \, a^{3} c^{2} d^{4} e^{7} + 5 \, a^{4} c d^{2} e^{9} + a^{5} e^{11}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{5} d^{4}}{16 \, {\left(c^{4} d^{8} e^{3} + 4 \, a c^{3} d^{6} e^{5} + 6 \, a^{2} c^{2} d^{4} e^{7} + 4 \, a^{3} c d^{2} e^{9} + a^{4} e^{11}\right)}} + \frac{\sqrt{c x^{2} + a} c^{5} d^{3} x}{2 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} - \frac{7 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{3} d^{3}}{24 \, {\left(c^{4} d^{8} e^{2} x^{3} + 4 \, a c^{3} d^{6} e^{4} x^{3} + 6 \, a^{2} c^{2} d^{4} e^{6} x^{3} + 4 \, a^{3} c d^{2} e^{8} x^{3} + a^{4} e^{10} x^{3} + 3 \, c^{4} d^{9} e x^{2} + 12 \, a c^{3} d^{7} e^{3} x^{2} + 18 \, a^{2} c^{2} d^{5} e^{5} x^{2} + 12 \, a^{3} c d^{3} e^{7} x^{2} + 3 \, a^{4} d e^{9} x^{2} + 3 \, c^{4} d^{10} x + 12 \, a c^{3} d^{8} e^{2} x + 18 \, a^{2} c^{2} d^{6} e^{4} x + 12 \, a^{3} c d^{4} e^{6} x + 3 \, a^{4} d^{2} e^{8} x + \frac{c^{4} d^{11}}{e} + 4 \, a c^{3} d^{9} e + 6 \, a^{2} c^{2} d^{7} e^{3} + 4 \, a^{3} c d^{5} e^{5} + a^{4} d^{3} e^{7}\right)}} - \frac{11 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d^{3}}{24 \, {\left(c^{4} d^{8} e^{2} x + 4 \, a c^{3} d^{6} e^{4} x + 6 \, a^{2} c^{2} d^{4} e^{6} x + 4 \, a^{3} c d^{2} e^{8} x + a^{4} e^{10} x + c^{4} d^{9} e + 4 \, a c^{3} d^{7} e^{3} + 6 \, a^{2} c^{2} d^{5} e^{5} + 4 \, a^{3} c d^{3} e^{7} + a^{4} d e^{9}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{3} d^{2}}{8 \, {\left(c^{4} d^{8} e x^{2} + 4 \, a c^{3} d^{6} e^{3} x^{2} + 6 \, a^{2} c^{2} d^{4} e^{5} x^{2} + 4 \, a^{3} c d^{2} e^{7} x^{2} + a^{4} e^{9} x^{2} + 2 \, c^{4} d^{9} x + 8 \, a c^{3} d^{7} e^{2} x + 12 \, a^{2} c^{2} d^{5} e^{4} x + 8 \, a^{3} c d^{3} e^{6} x + 2 \, a^{4} d e^{8} x + \frac{c^{4} d^{10}}{e} + 4 \, a c^{3} d^{8} e + 6 \, a^{2} c^{2} d^{6} e^{3} + 4 \, a^{3} c d^{4} e^{5} + a^{4} d^{2} e^{7}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d^{2}}{8 \, {\left(c^{4} d^{8} e + 4 \, a c^{3} d^{6} e^{3} + 6 \, a^{2} c^{2} d^{4} e^{5} + 4 \, a^{3} c d^{2} e^{7} + a^{4} e^{9}\right)}} - \frac{7 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2} d^{2}}{24 \, {\left(c^{3} d^{6} e^{3} x^{4} + 3 \, a c^{2} d^{4} e^{5} x^{4} + 3 \, a^{2} c d^{2} e^{7} x^{4} + a^{3} e^{9} x^{4} + 4 \, c^{3} d^{7} e^{2} x^{3} + 12 \, a c^{2} d^{5} e^{4} x^{3} + 12 \, a^{2} c d^{3} e^{6} x^{3} + 4 \, a^{3} d e^{8} x^{3} + 6 \, c^{3} d^{8} e x^{2} + 18 \, a c^{2} d^{6} e^{3} x^{2} + 18 \, a^{2} c d^{4} e^{5} x^{2} + 6 \, a^{3} d^{2} e^{7} x^{2} + 4 \, c^{3} d^{9} x + 12 \, a c^{2} d^{7} e^{2} x + 12 \, a^{2} c d^{5} e^{4} x + 4 \, a^{3} d^{3} e^{6} x + \frac{c^{3} d^{10}}{e} + 3 \, a c^{2} d^{8} e + 3 \, a^{2} c d^{6} e^{3} + a^{3} d^{4} e^{5}\right)}} + \frac{9 \, \sqrt{c x^{2} + a} c^{4} d^{2}}{16 \, {\left(c^{3} d^{6} e^{3} + 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} + a^{3} e^{9}\right)}} - \frac{\sqrt{c x^{2} + a} c^{4} d x}{16 \, {\left(c^{3} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2} d}{24 \, {\left(c^{3} d^{6} e^{2} x^{3} + 3 \, a c^{2} d^{4} e^{4} x^{3} + 3 \, a^{2} c d^{2} e^{6} x^{3} + a^{3} e^{8} x^{3} + 3 \, c^{3} d^{7} e x^{2} + 9 \, a c^{2} d^{5} e^{3} x^{2} + 9 \, a^{2} c d^{3} e^{5} x^{2} + 3 \, a^{3} d e^{7} x^{2} + 3 \, c^{3} d^{8} x + 9 \, a c^{2} d^{6} e^{2} x + 9 \, a^{2} c d^{4} e^{4} x + 3 \, a^{3} d^{2} e^{6} x + \frac{c^{3} d^{9}}{e} + 3 \, a c^{2} d^{7} e + 3 \, a^{2} c d^{5} e^{3} + a^{3} d^{3} e^{5}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d}{16 \, {\left(c^{3} d^{6} e^{2} x + 3 \, a c^{2} d^{4} e^{4} x + 3 \, a^{2} c d^{2} e^{6} x + a^{3} e^{8} x + c^{3} d^{7} e + 3 \, a c^{2} d^{5} e^{3} + 3 \, a^{2} c d^{3} e^{5} + a^{3} d e^{7}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2}}{48 \, {\left(c^{3} d^{6} e x^{2} + 3 \, a c^{2} d^{4} e^{3} x^{2} + 3 \, a^{2} c d^{2} e^{5} x^{2} + a^{3} e^{7} x^{2} + 2 \, c^{3} d^{7} x + 6 \, a c^{2} d^{5} e^{2} x + 6 \, a^{2} c d^{3} e^{4} x + 2 \, a^{3} d e^{6} x + \frac{c^{3} d^{8}}{e} + 3 \, a c^{2} d^{6} e + 3 \, a^{2} c d^{4} e^{3} + a^{3} d^{2} e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3}}{48 \, {\left(c^{3} d^{6} e + 3 \, a c^{2} d^{4} e^{3} + 3 \, a^{2} c d^{2} e^{5} + a^{3} e^{7}\right)}} - \frac{7 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c d}{30 \, {\left(c^{2} d^{4} e^{4} x^{5} + 2 \, a c d^{2} e^{6} x^{5} + a^{2} e^{8} x^{5} + 5 \, c^{2} d^{5} e^{3} x^{4} + 10 \, a c d^{3} e^{5} x^{4} + 5 \, a^{2} d e^{7} x^{4} + 10 \, c^{2} d^{6} e^{2} x^{3} + 20 \, a c d^{4} e^{4} x^{3} + 10 \, a^{2} d^{2} e^{6} x^{3} + 10 \, c^{2} d^{7} e x^{2} + 20 \, a c d^{5} e^{3} x^{2} + 10 \, a^{2} d^{3} e^{5} x^{2} + 5 \, c^{2} d^{8} x + 10 \, a c d^{6} e^{2} x + 5 \, a^{2} d^{4} e^{4} x + \frac{c^{2} d^{9}}{e} + 2 \, a c d^{7} e + a^{2} d^{5} e^{3}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c}{24 \, {\left(c^{2} d^{4} e^{3} x^{4} + 2 \, a c d^{2} e^{5} x^{4} + a^{2} e^{7} x^{4} + 4 \, c^{2} d^{5} e^{2} x^{3} + 8 \, a c d^{3} e^{4} x^{3} + 4 \, a^{2} d e^{6} x^{3} + 6 \, c^{2} d^{6} e x^{2} + 12 \, a c d^{4} e^{3} x^{2} + 6 \, a^{2} d^{2} e^{5} x^{2} + 4 \, c^{2} d^{7} x + 8 \, a c d^{5} e^{2} x + 4 \, a^{2} d^{3} e^{4} x + \frac{c^{2} d^{8}}{e} + 2 \, a c d^{6} e + a^{2} d^{4} e^{3}\right)}} - \frac{\sqrt{c x^{2} + a} c^{3}}{16 \, {\left(c^{2} d^{4} e^{3} + 2 \, a c d^{2} e^{5} + a^{2} e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{6 \, {\left(c d^{2} e^{5} x^{6} + a e^{7} x^{6} + 6 \, c d^{3} e^{4} x^{5} + 6 \, a d e^{6} x^{5} + 15 \, c d^{4} e^{3} x^{4} + 15 \, a d^{2} e^{5} x^{4} + 20 \, c d^{5} e^{2} x^{3} + 20 \, a d^{3} e^{4} x^{3} + 15 \, c d^{6} e x^{2} + 15 \, a d^{4} e^{3} x^{2} + 6 \, c d^{7} x + 6 \, a d^{5} e^{2} x + \frac{c d^{8}}{e} + a d^{6} e\right)}} + \frac{7 \, c^{6} d^{6} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{9}{2}} e^{13}} - \frac{15 \, c^{5} d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{11}} + \frac{9 \, c^{4} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{9}} - \frac{c^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{7}}"," ",0,"7/16*sqrt(c*x^2 + a)*c^6*d^6/(c^5*d^10*e^3 + 5*a*c^4*d^8*e^5 + 10*a^2*c^3*d^6*e^7 + 10*a^3*c^2*d^4*e^9 + 5*a^4*c*d^2*e^11 + a^5*e^13) - 7/16*sqrt(c*x^2 + a)*c^6*d^5*x/(c^5*d^10*e^2 + 5*a*c^4*d^8*e^4 + 10*a^2*c^3*d^6*e^6 + 10*a^3*c^2*d^4*e^8 + 5*a^4*c*d^2*e^10 + a^5*e^12) + 7/48*(c*x^2 + a)^(3/2)*c^5*d^5/(c^5*d^10*e^2*x + 5*a*c^4*d^8*e^4*x + 10*a^2*c^3*d^6*e^6*x + 10*a^3*c^2*d^4*e^8*x + 5*a^4*c*d^2*e^10*x + a^5*e^12*x + c^5*d^11*e + 5*a*c^4*d^9*e^3 + 10*a^2*c^3*d^7*e^5 + 10*a^3*c^2*d^5*e^7 + 5*a^4*c*d^3*e^9 + a^5*d*e^11) - 7/48*(c*x^2 + a)^(5/2)*c^4*d^4/(c^5*d^10*e*x^2 + 5*a*c^4*d^8*e^3*x^2 + 10*a^2*c^3*d^6*e^5*x^2 + 10*a^3*c^2*d^4*e^7*x^2 + 5*a^4*c*d^2*e^9*x^2 + a^5*e^11*x^2 + 2*c^5*d^11*x + 10*a*c^4*d^9*e^2*x + 20*a^2*c^3*d^7*e^4*x + 20*a^3*c^2*d^5*e^6*x + 10*a^4*c*d^3*e^8*x + 2*a^5*d*e^10*x + c^5*d^12/e + 5*a*c^4*d^10*e + 10*a^2*c^3*d^8*e^3 + 10*a^3*c^2*d^6*e^5 + 5*a^4*c*d^4*e^7 + a^5*d^2*e^9) + 7/48*(c*x^2 + a)^(3/2)*c^5*d^4/(c^5*d^10*e + 5*a*c^4*d^8*e^3 + 10*a^2*c^3*d^6*e^5 + 10*a^3*c^2*d^4*e^7 + 5*a^4*c*d^2*e^9 + a^5*e^11) - 15/16*sqrt(c*x^2 + a)*c^5*d^4/(c^4*d^8*e^3 + 4*a*c^3*d^6*e^5 + 6*a^2*c^2*d^4*e^7 + 4*a^3*c*d^2*e^9 + a^4*e^11) + 1/2*sqrt(c*x^2 + a)*c^5*d^3*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) - 7/24*(c*x^2 + a)^(5/2)*c^3*d^3/(c^4*d^8*e^2*x^3 + 4*a*c^3*d^6*e^4*x^3 + 6*a^2*c^2*d^4*e^6*x^3 + 4*a^3*c*d^2*e^8*x^3 + a^4*e^10*x^3 + 3*c^4*d^9*e*x^2 + 12*a*c^3*d^7*e^3*x^2 + 18*a^2*c^2*d^5*e^5*x^2 + 12*a^3*c*d^3*e^7*x^2 + 3*a^4*d*e^9*x^2 + 3*c^4*d^10*x + 12*a*c^3*d^8*e^2*x + 18*a^2*c^2*d^6*e^4*x + 12*a^3*c*d^4*e^6*x + 3*a^4*d^2*e^8*x + c^4*d^11/e + 4*a*c^3*d^9*e + 6*a^2*c^2*d^7*e^3 + 4*a^3*c*d^5*e^5 + a^4*d^3*e^7) - 11/24*(c*x^2 + a)^(3/2)*c^4*d^3/(c^4*d^8*e^2*x + 4*a*c^3*d^6*e^4*x + 6*a^2*c^2*d^4*e^6*x + 4*a^3*c*d^2*e^8*x + a^4*e^10*x + c^4*d^9*e + 4*a*c^3*d^7*e^3 + 6*a^2*c^2*d^5*e^5 + 4*a^3*c*d^3*e^7 + a^4*d*e^9) - 1/8*(c*x^2 + a)^(5/2)*c^3*d^2/(c^4*d^8*e*x^2 + 4*a*c^3*d^6*e^3*x^2 + 6*a^2*c^2*d^4*e^5*x^2 + 4*a^3*c*d^2*e^7*x^2 + a^4*e^9*x^2 + 2*c^4*d^9*x + 8*a*c^3*d^7*e^2*x + 12*a^2*c^2*d^5*e^4*x + 8*a^3*c*d^3*e^6*x + 2*a^4*d*e^8*x + c^4*d^10/e + 4*a*c^3*d^8*e + 6*a^2*c^2*d^6*e^3 + 4*a^3*c*d^4*e^5 + a^4*d^2*e^7) + 1/8*(c*x^2 + a)^(3/2)*c^4*d^2/(c^4*d^8*e + 4*a*c^3*d^6*e^3 + 6*a^2*c^2*d^4*e^5 + 4*a^3*c*d^2*e^7 + a^4*e^9) - 7/24*(c*x^2 + a)^(5/2)*c^2*d^2/(c^3*d^6*e^3*x^4 + 3*a*c^2*d^4*e^5*x^4 + 3*a^2*c*d^2*e^7*x^4 + a^3*e^9*x^4 + 4*c^3*d^7*e^2*x^3 + 12*a*c^2*d^5*e^4*x^3 + 12*a^2*c*d^3*e^6*x^3 + 4*a^3*d*e^8*x^3 + 6*c^3*d^8*e*x^2 + 18*a*c^2*d^6*e^3*x^2 + 18*a^2*c*d^4*e^5*x^2 + 6*a^3*d^2*e^7*x^2 + 4*c^3*d^9*x + 12*a*c^2*d^7*e^2*x + 12*a^2*c*d^5*e^4*x + 4*a^3*d^3*e^6*x + c^3*d^10/e + 3*a*c^2*d^8*e + 3*a^2*c*d^6*e^3 + a^3*d^4*e^5) + 9/16*sqrt(c*x^2 + a)*c^4*d^2/(c^3*d^6*e^3 + 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 + a^3*e^9) - 1/16*sqrt(c*x^2 + a)*c^4*d*x/(c^3*d^6*e^2 + 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 + a^3*e^8) + 1/24*(c*x^2 + a)^(5/2)*c^2*d/(c^3*d^6*e^2*x^3 + 3*a*c^2*d^4*e^4*x^3 + 3*a^2*c*d^2*e^6*x^3 + a^3*e^8*x^3 + 3*c^3*d^7*e*x^2 + 9*a*c^2*d^5*e^3*x^2 + 9*a^2*c*d^3*e^5*x^2 + 3*a^3*d*e^7*x^2 + 3*c^3*d^8*x + 9*a*c^2*d^6*e^2*x + 9*a^2*c*d^4*e^4*x + 3*a^3*d^2*e^6*x + c^3*d^9/e + 3*a*c^2*d^7*e + 3*a^2*c*d^5*e^3 + a^3*d^3*e^5) + 1/16*(c*x^2 + a)^(3/2)*c^3*d/(c^3*d^6*e^2*x + 3*a*c^2*d^4*e^4*x + 3*a^2*c*d^2*e^6*x + a^3*e^8*x + c^3*d^7*e + 3*a*c^2*d^5*e^3 + 3*a^2*c*d^3*e^5 + a^3*d*e^7) + 1/48*(c*x^2 + a)^(5/2)*c^2/(c^3*d^6*e*x^2 + 3*a*c^2*d^4*e^3*x^2 + 3*a^2*c*d^2*e^5*x^2 + a^3*e^7*x^2 + 2*c^3*d^7*x + 6*a*c^2*d^5*e^2*x + 6*a^2*c*d^3*e^4*x + 2*a^3*d*e^6*x + c^3*d^8/e + 3*a*c^2*d^6*e + 3*a^2*c*d^4*e^3 + a^3*d^2*e^5) - 1/48*(c*x^2 + a)^(3/2)*c^3/(c^3*d^6*e + 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 + a^3*e^7) - 7/30*(c*x^2 + a)^(5/2)*c*d/(c^2*d^4*e^4*x^5 + 2*a*c*d^2*e^6*x^5 + a^2*e^8*x^5 + 5*c^2*d^5*e^3*x^4 + 10*a*c*d^3*e^5*x^4 + 5*a^2*d*e^7*x^4 + 10*c^2*d^6*e^2*x^3 + 20*a*c*d^4*e^4*x^3 + 10*a^2*d^2*e^6*x^3 + 10*c^2*d^7*e*x^2 + 20*a*c*d^5*e^3*x^2 + 10*a^2*d^3*e^5*x^2 + 5*c^2*d^8*x + 10*a*c*d^6*e^2*x + 5*a^2*d^4*e^4*x + c^2*d^9/e + 2*a*c*d^7*e + a^2*d^5*e^3) + 1/24*(c*x^2 + a)^(5/2)*c/(c^2*d^4*e^3*x^4 + 2*a*c*d^2*e^5*x^4 + a^2*e^7*x^4 + 4*c^2*d^5*e^2*x^3 + 8*a*c*d^3*e^4*x^3 + 4*a^2*d*e^6*x^3 + 6*c^2*d^6*e*x^2 + 12*a*c*d^4*e^3*x^2 + 6*a^2*d^2*e^5*x^2 + 4*c^2*d^7*x + 8*a*c*d^5*e^2*x + 4*a^2*d^3*e^4*x + c^2*d^8/e + 2*a*c*d^6*e + a^2*d^4*e^3) - 1/16*sqrt(c*x^2 + a)*c^3/(c^2*d^4*e^3 + 2*a*c*d^2*e^5 + a^2*e^7) - 1/6*(c*x^2 + a)^(5/2)/(c*d^2*e^5*x^6 + a*e^7*x^6 + 6*c*d^3*e^4*x^5 + 6*a*d*e^6*x^5 + 15*c*d^4*e^3*x^4 + 15*a*d^2*e^5*x^4 + 20*c*d^5*e^2*x^3 + 20*a*d^3*e^4*x^3 + 15*c*d^6*e*x^2 + 15*a*d^4*e^3*x^2 + 6*c*d^7*x + 6*a*d^5*e^2*x + c*d^8/e + a*d^6*e) + 7/16*c^6*d^6*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(9/2)*e^13) - 15/16*c^5*d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^11) + 9/16*c^4*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^9) - 1/16*c^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^7)","B",0
545,1,364,0,1.445269," ","integrate((e*x+d)^4*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} e^{4} x^{3}}{10 \, c} + \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} d e^{3} x^{2}}{9 \, c} + \frac{1}{6} \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} d^{4} x + \frac{5}{24} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a d^{4} x + \frac{5}{16} \, \sqrt{c x^{2} + a} a^{2} d^{4} x + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} d^{2} e^{2} x}{4 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} a d^{2} e^{2} x}{8 \, c} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} d^{2} e^{2} x}{32 \, c} - \frac{15 \, \sqrt{c x^{2} + a} a^{3} d^{2} e^{2} x}{64 \, c} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} a e^{4} x}{80 \, c^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} a^{2} e^{4} x}{160 \, c^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{3} e^{4} x}{128 \, c^{2}} + \frac{3 \, \sqrt{c x^{2} + a} a^{4} e^{4} x}{256 \, c^{2}} + \frac{5 \, a^{3} d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{c}} - \frac{15 \, a^{4} d^{2} e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{64 \, c^{\frac{3}{2}}} + \frac{3 \, a^{5} e^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{256 \, c^{\frac{5}{2}}} + \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} d^{3} e}{7 \, c} - \frac{8 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} a d e^{3}}{63 \, c^{2}}"," ",0,"1/10*(c*x^2 + a)^(7/2)*e^4*x^3/c + 4/9*(c*x^2 + a)^(7/2)*d*e^3*x^2/c + 1/6*(c*x^2 + a)^(5/2)*d^4*x + 5/24*(c*x^2 + a)^(3/2)*a*d^4*x + 5/16*sqrt(c*x^2 + a)*a^2*d^4*x + 3/4*(c*x^2 + a)^(7/2)*d^2*e^2*x/c - 1/8*(c*x^2 + a)^(5/2)*a*d^2*e^2*x/c - 5/32*(c*x^2 + a)^(3/2)*a^2*d^2*e^2*x/c - 15/64*sqrt(c*x^2 + a)*a^3*d^2*e^2*x/c - 3/80*(c*x^2 + a)^(7/2)*a*e^4*x/c^2 + 1/160*(c*x^2 + a)^(5/2)*a^2*e^4*x/c^2 + 1/128*(c*x^2 + a)^(3/2)*a^3*e^4*x/c^2 + 3/256*sqrt(c*x^2 + a)*a^4*e^4*x/c^2 + 5/16*a^3*d^4*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 15/64*a^4*d^2*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 3/256*a^5*e^4*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 4/7*(c*x^2 + a)^(7/2)*d^3*e/c - 8/63*(c*x^2 + a)^(7/2)*a*d*e^3/c^2","A",0
546,1,230,0,1.448455," ","integrate((e*x+d)^3*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} e^{3} x^{2}}{9 \, c} + \frac{1}{6} \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} d^{3} x + \frac{5}{24} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a d^{3} x + \frac{5}{16} \, \sqrt{c x^{2} + a} a^{2} d^{3} x + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} d e^{2} x}{8 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} a d e^{2} x}{16 \, c} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} d e^{2} x}{64 \, c} - \frac{15 \, \sqrt{c x^{2} + a} a^{3} d e^{2} x}{128 \, c} + \frac{5 \, a^{3} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{c}} - \frac{15 \, a^{4} d e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, c^{\frac{3}{2}}} + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} d^{2} e}{7 \, c} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} a e^{3}}{63 \, c^{2}}"," ",0,"1/9*(c*x^2 + a)^(7/2)*e^3*x^2/c + 1/6*(c*x^2 + a)^(5/2)*d^3*x + 5/24*(c*x^2 + a)^(3/2)*a*d^3*x + 5/16*sqrt(c*x^2 + a)*a^2*d^3*x + 3/8*(c*x^2 + a)^(7/2)*d*e^2*x/c - 1/16*(c*x^2 + a)^(5/2)*a*d*e^2*x/c - 5/64*(c*x^2 + a)^(3/2)*a^2*d*e^2*x/c - 15/128*sqrt(c*x^2 + a)*a^3*d*e^2*x/c + 5/16*a^3*d^3*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 15/128*a^4*d*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 3/7*(c*x^2 + a)^(7/2)*d^2*e/c - 2/63*(c*x^2 + a)^(7/2)*a*e^3/c^2","A",0
547,1,185,0,1.421363," ","integrate((e*x+d)^2*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} d^{2} x + \frac{5}{24} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a d^{2} x + \frac{5}{16} \, \sqrt{c x^{2} + a} a^{2} d^{2} x + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} e^{2} x}{8 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} a e^{2} x}{48 \, c} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} e^{2} x}{192 \, c} - \frac{5 \, \sqrt{c x^{2} + a} a^{3} e^{2} x}{128 \, c} + \frac{5 \, a^{3} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{c}} - \frac{5 \, a^{4} e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, c^{\frac{3}{2}}} + \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} d e}{7 \, c}"," ",0,"1/6*(c*x^2 + a)^(5/2)*d^2*x + 5/24*(c*x^2 + a)^(3/2)*a*d^2*x + 5/16*sqrt(c*x^2 + a)*a^2*d^2*x + 1/8*(c*x^2 + a)^(7/2)*e^2*x/c - 1/48*(c*x^2 + a)^(5/2)*a*e^2*x/c - 5/192*(c*x^2 + a)^(3/2)*a^2*e^2*x/c - 5/128*sqrt(c*x^2 + a)*a^3*e^2*x/c + 5/16*a^3*d^2*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 5/128*a^4*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 2/7*(c*x^2 + a)^(7/2)*d*e/c","A",0
548,1,77,0,1.339039," ","integrate((e*x+d)*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} d x + \frac{5}{24} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a d x + \frac{5}{16} \, \sqrt{c x^{2} + a} a^{2} d x + \frac{5 \, a^{3} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{c}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} e}{7 \, c}"," ",0,"1/6*(c*x^2 + a)^(5/2)*d*x + 5/24*(c*x^2 + a)^(3/2)*a*d*x + 5/16*sqrt(c*x^2 + a)*a^2*d*x + 5/16*a^3*d*arcsinh(c*x/sqrt(a*c))/sqrt(c) + 1/7*(c*x^2 + a)^(7/2)*e/c","A",0
549,1,272,0,1.984636," ","integrate((c*x^2+a)^(5/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a} c^{2} d^{3} x}{2 \, e^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c d x}{4 \, e^{2}} - \frac{7 \, \sqrt{c x^{2} + a} a c d x}{8 \, e^{2}} - \frac{c^{\frac{5}{2}} d^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{6}} - \frac{5 \, a c^{\frac{3}{2}} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, e^{4}} - \frac{15 \, a^{2} \sqrt{c} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, e^{2}} + \frac{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e} + \frac{\sqrt{c x^{2} + a} c^{2} d^{4}}{e^{5}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c d^{2}}{3 \, e^{3}} + \frac{2 \, \sqrt{c x^{2} + a} a c d^{2}}{e^{3}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{5 \, e} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} a}{3 \, e} + \frac{\sqrt{c x^{2} + a} a^{2}}{e}"," ",0,"-1/2*sqrt(c*x^2 + a)*c^2*d^3*x/e^4 - 1/4*(c*x^2 + a)^(3/2)*c*d*x/e^2 - 7/8*sqrt(c*x^2 + a)*a*c*d*x/e^2 - c^(5/2)*d^5*arcsinh(c*x/sqrt(a*c))/e^6 - 5/2*a*c^(3/2)*d^3*arcsinh(c*x/sqrt(a*c))/e^4 - 15/8*a^2*sqrt(c)*d*arcsinh(c*x/sqrt(a*c))/e^2 + (a + c*d^2/e^2)^(5/2)*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e + sqrt(c*x^2 + a)*c^2*d^4/e^5 + 1/3*(c*x^2 + a)^(3/2)*c*d^2/e^3 + 2*sqrt(c*x^2 + a)*a*c*d^2/e^3 + 1/5*(c*x^2 + a)^(5/2)/e + 1/3*(c*x^2 + a)^(3/2)*a/e + sqrt(c*x^2 + a)*a^2/e","A",0
550,1,246,0,1.995296," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{e^{2} x + d e} + \frac{5 \, \sqrt{c x^{2} + a} c^{2} d^{2} x}{2 \, e^{4}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c x}{4 \, e^{2}} + \frac{15 \, \sqrt{c x^{2} + a} a c x}{8 \, e^{2}} + \frac{5 \, c^{\frac{5}{2}} d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{6}} + \frac{15 \, a c^{\frac{3}{2}} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, e^{4}} + \frac{15 \, a^{2} \sqrt{c} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, e^{2}} - \frac{5 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} c d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e^{3}} - \frac{5 \, \sqrt{c x^{2} + a} c^{2} d^{3}}{e^{5}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c d}{3 \, e^{3}} - \frac{5 \, \sqrt{c x^{2} + a} a c d}{e^{3}}"," ",0,"-(c*x^2 + a)^(5/2)/(e^2*x + d*e) + 5/2*sqrt(c*x^2 + a)*c^2*d^2*x/e^4 + 5/4*(c*x^2 + a)^(3/2)*c*x/e^2 + 15/8*sqrt(c*x^2 + a)*a*c*x/e^2 + 5*c^(5/2)*d^4*arcsinh(c*x/sqrt(a*c))/e^6 + 15/2*a*c^(3/2)*d^2*arcsinh(c*x/sqrt(a*c))/e^4 + 15/8*a^2*sqrt(c)*arcsinh(c*x/sqrt(a*c))/e^2 - 5*(a + c*d^2/e^2)^(3/2)*c*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^3 - 5*sqrt(c*x^2 + a)*c^2*d^3/e^5 - 5/3*(c*x^2 + a)^(3/2)*c*d/e^3 - 5*sqrt(c*x^2 + a)*a*c*d/e^3","A",0
551,1,561,0,2.310681," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{15 \, c^{4} d^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{4 \, {\left(c^{\frac{3}{2}} d^{2} e^{6} + a \sqrt{c} e^{8}\right)}} + \frac{15 \, a c^{3} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{4 \, {\left(c^{\frac{3}{2}} d^{2} e^{4} + a \sqrt{c} e^{6}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{3} d^{3} x}{4 \, {\left(c d^{2} e^{4} + a e^{6}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d^{2}}{2 \, {\left(c d^{2} e^{3} + a e^{5}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d x}{2 \, {\left(c d^{2} e^{2} + a e^{4}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} a c^{2} d x}{4 \, {\left(c d^{2} e^{2} + a e^{4}\right)}} + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c d}{2 \, {\left(c d^{2} e^{2} x + a e^{4} x + c d^{3} e + a d e^{3}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}}}{2 \, {\left(c d^{2} e x^{2} + a e^{3} x^{2} + 2 \, c d^{3} x + 2 \, a d e^{2} x + \frac{c d^{4}}{e} + a d^{2} e\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c}{2 \, {\left(c d^{2} e + a e^{3}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c^{2} d x}{4 \, e^{4}} - \frac{55 \, c^{\frac{5}{2}} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{4 \, e^{6}} - \frac{15 \, a c^{\frac{3}{2}} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, e^{4}} + \frac{15 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} c^{2} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, e^{5}} + \frac{5 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} c \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, e^{3}} + \frac{10 \, \sqrt{c x^{2} + a} c^{2} d^{2}}{e^{5}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c}{6 \, e^{3}} + \frac{5 \, \sqrt{c x^{2} + a} a c}{2 \, e^{3}}"," ",0,"15/4*c^4*d^5*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*d^2*e^6 + a*sqrt(c)*e^8) + 15/4*a*c^3*d^3*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*d^2*e^4 + a*sqrt(c)*e^6) - 15/4*sqrt(c*x^2 + a)*c^3*d^3*x/(c*d^2*e^4 + a*e^6) + 5/2*(c*x^2 + a)^(3/2)*c^2*d^2/(c*d^2*e^3 + a*e^5) - 5/2*(c*x^2 + a)^(3/2)*c^2*d*x/(c*d^2*e^2 + a*e^4) - 15/4*sqrt(c*x^2 + a)*a*c^2*d*x/(c*d^2*e^2 + a*e^4) + 3/2*(c*x^2 + a)^(5/2)*c*d/(c*d^2*e^2*x + a*e^4*x + c*d^3*e + a*d*e^3) - 1/2*(c*x^2 + a)^(7/2)/(c*d^2*e*x^2 + a*e^3*x^2 + 2*c*d^3*x + 2*a*d*e^2*x + c*d^4/e + a*d^2*e) + 1/2*(c*x^2 + a)^(5/2)*c/(c*d^2*e + a*e^3) - 5/4*sqrt(c*x^2 + a)*c^2*d*x/e^4 - 55/4*c^(5/2)*d^3*arcsinh(c*x/sqrt(a*c))/e^6 - 15/2*a*c^(3/2)*d*arcsinh(c*x/sqrt(a*c))/e^4 + 15/2*sqrt(a + c*d^2/e^2)*c^2*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^5 + 5/2*(a + c*d^2/e^2)^(3/2)*c*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^3 + 10*sqrt(c*x^2 + a)*c^2*d^2/e^5 + 5/6*(c*x^2 + a)^(3/2)*c/e^3 + 5/2*sqrt(c*x^2 + a)*a*c/e^3","B",0
552,1,1023,0,2.793023," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{5 \, c^{5} d^{6} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{4 \, {\left(c^{\frac{5}{2}} d^{4} e^{6} + 2 \, a c^{\frac{3}{2}} d^{2} e^{8} + a^{2} \sqrt{c} e^{10}\right)}} - \frac{5 \, a c^{4} d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{4 \, {\left(c^{\frac{5}{2}} d^{4} e^{4} + 2 \, a c^{\frac{3}{2}} d^{2} e^{6} + a^{2} \sqrt{c} e^{8}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} c^{4} d^{4} x}{4 \, {\left(c^{2} d^{4} e^{4} + 2 \, a c d^{2} e^{6} + a^{2} e^{8}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d^{3}}{6 \, {\left(c^{2} d^{4} e^{3} + 2 \, a c d^{2} e^{5} + a^{2} e^{7}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d^{2} x}{6 \, {\left(c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} a c^{3} d^{2} x}{4 \, {\left(c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)}} - \frac{5 \, a c^{3} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{4 \, {\left(c^{\frac{3}{2}} d^{2} e^{4} + a \sqrt{c} e^{6}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2} d^{2}}{2 \, {\left(c^{2} d^{4} e^{2} x + 2 \, a c d^{2} e^{4} x + a^{2} e^{6} x + c^{2} d^{5} e + 2 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c^{3} d^{3}}{2 \, {\left(c d^{2} e^{5} + a e^{7}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} c^{3} d^{2} x}{4 \, {\left(c d^{2} e^{4} + a e^{6}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c d}{6 \, {\left(c^{2} d^{4} e x^{2} + 2 \, a c d^{2} e^{3} x^{2} + a^{2} e^{5} x^{2} + 2 \, c^{2} d^{5} x + 4 \, a c d^{3} e^{2} x + 2 \, a^{2} d e^{4} x + \frac{c^{2} d^{6}}{e} + 2 \, a c d^{4} e + a^{2} d^{2} e^{3}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2} d}{6 \, {\left(c^{2} d^{4} e + 2 \, a c d^{2} e^{3} + a^{2} e^{5}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d}{2 \, {\left(c d^{2} e^{3} + a e^{5}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} x}{3 \, {\left(c d^{2} e^{2} + a e^{4}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} a c^{2} x}{2 \, {\left(c d^{2} e^{2} + a e^{4}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}}}{3 \, {\left(c d^{2} e^{2} x^{3} + a e^{4} x^{3} + 3 \, c d^{3} e x^{2} + 3 \, a d e^{3} x^{2} + 3 \, c d^{4} x + 3 \, a d^{2} e^{2} x + \frac{c d^{5}}{e} + a d^{3} e\right)}} - \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c}{3 \, {\left(c d^{2} e^{2} x + a e^{4} x + c d^{3} e + a d e^{3}\right)}} + \frac{45 \, c^{\frac{5}{2}} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{4 \, e^{6}} + \frac{5 \, a c^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, e^{4}} - \frac{5 \, c^{3} d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} e^{7}} - \frac{15 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} c^{2} d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, e^{5}} - \frac{15 \, \sqrt{c x^{2} + a} c^{2} d}{2 \, e^{5}}"," ",0,"-5/4*c^5*d^6*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^6 + 2*a*c^(3/2)*d^2*e^8 + a^2*sqrt(c)*e^10) - 5/4*a*c^4*d^4*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^4 + 2*a*c^(3/2)*d^2*e^6 + a^2*sqrt(c)*e^8) + 5/4*sqrt(c*x^2 + a)*c^4*d^4*x/(c^2*d^4*e^4 + 2*a*c*d^2*e^6 + a^2*e^8) - 5/6*(c*x^2 + a)^(3/2)*c^3*d^3/(c^2*d^4*e^3 + 2*a*c*d^2*e^5 + a^2*e^7) + 5/6*(c*x^2 + a)^(3/2)*c^3*d^2*x/(c^2*d^4*e^2 + 2*a*c*d^2*e^4 + a^2*e^6) + 5/4*sqrt(c*x^2 + a)*a*c^3*d^2*x/(c^2*d^4*e^2 + 2*a*c*d^2*e^4 + a^2*e^6) - 5/4*a*c^3*d^2*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*d^2*e^4 + a*sqrt(c)*e^6) - 1/2*(c*x^2 + a)^(5/2)*c^2*d^2/(c^2*d^4*e^2*x + 2*a*c*d^2*e^4*x + a^2*e^6*x + c^2*d^5*e + 2*a*c*d^3*e^3 + a^2*d*e^5) - 5/2*sqrt(c*x^2 + a)*c^3*d^3/(c*d^2*e^5 + a*e^7) + 15/4*sqrt(c*x^2 + a)*c^3*d^2*x/(c*d^2*e^4 + a*e^6) + 1/6*(c*x^2 + a)^(7/2)*c*d/(c^2*d^4*e*x^2 + 2*a*c*d^2*e^3*x^2 + a^2*e^5*x^2 + 2*c^2*d^5*x + 4*a*c*d^3*e^2*x + 2*a^2*d*e^4*x + c^2*d^6/e + 2*a*c*d^4*e + a^2*d^2*e^3) - 1/6*(c*x^2 + a)^(5/2)*c^2*d/(c^2*d^4*e + 2*a*c*d^2*e^3 + a^2*e^5) - 5/2*(c*x^2 + a)^(3/2)*c^2*d/(c*d^2*e^3 + a*e^5) + 5/3*(c*x^2 + a)^(3/2)*c^2*x/(c*d^2*e^2 + a*e^4) + 5/2*sqrt(c*x^2 + a)*a*c^2*x/(c*d^2*e^2 + a*e^4) - 1/3*(c*x^2 + a)^(7/2)/(c*d^2*e^2*x^3 + a*e^4*x^3 + 3*c*d^3*e*x^2 + 3*a*d*e^3*x^2 + 3*c*d^4*x + 3*a*d^2*e^2*x + c*d^5/e + a*d^3*e) - 4/3*(c*x^2 + a)^(5/2)*c/(c*d^2*e^2*x + a*e^4*x + c*d^3*e + a*d*e^3) + 45/4*c^(5/2)*d^2*arcsinh(c*x/sqrt(a*c))/e^6 + 5/2*a*c^(3/2)*arcsinh(c*x/sqrt(a*c))/e^4 - 5/2*c^3*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^7) - 15/2*sqrt(a + c*d^2/e^2)*c^2*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^5 - 15/2*sqrt(c*x^2 + a)*c^2*d/e^5","B",0
553,1,1903,0,3.455150," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{5 \, c^{6} d^{7} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{7}{2}} d^{6} e^{6} + 3 \, a c^{\frac{5}{2}} d^{4} e^{8} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{10} + a^{3} \sqrt{c} e^{12}\right)}} - \frac{5 \, a c^{5} d^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{7}{2}} d^{6} e^{4} + 3 \, a c^{\frac{5}{2}} d^{4} e^{6} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{8} + a^{3} \sqrt{c} e^{10}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} c^{5} d^{5} x}{16 \, {\left(c^{3} d^{6} e^{4} + 3 \, a c^{2} d^{4} e^{6} + 3 \, a^{2} c d^{2} e^{8} + a^{3} e^{10}\right)}} + \frac{45 \, c^{5} d^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{5}{2}} d^{4} e^{6} + 2 \, a c^{\frac{3}{2}} d^{2} e^{8} + a^{2} \sqrt{c} e^{10}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d^{4}}{24 \, {\left(c^{3} d^{6} e^{3} + 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} + a^{3} e^{9}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d^{3} x}{24 \, {\left(c^{3} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} a c^{4} d^{3} x}{16 \, {\left(c^{3} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)}} + \frac{5 \, a c^{4} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, {\left(c^{\frac{5}{2}} d^{4} e^{4} + 2 \, a c^{\frac{3}{2}} d^{2} e^{6} + a^{2} \sqrt{c} e^{8}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{3} d^{3}}{8 \, {\left(c^{3} d^{6} e^{2} x + 3 \, a c^{2} d^{4} e^{4} x + 3 \, a^{2} c d^{2} e^{6} x + a^{3} e^{8} x + c^{3} d^{7} e + 3 \, a c^{2} d^{5} e^{3} + 3 \, a^{2} c d^{3} e^{5} + a^{3} d e^{7}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c^{4} d^{4}}{8 \, {\left(c^{2} d^{4} e^{5} + 2 \, a c d^{2} e^{7} + a^{2} e^{9}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{4} d^{3} x}{8 \, {\left(c^{2} d^{4} e^{4} + 2 \, a c d^{2} e^{6} + a^{2} e^{8}\right)}} - \frac{75 \, c^{4} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{3}{2}} d^{2} e^{6} + a \sqrt{c} e^{8}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2} d^{2}}{24 \, {\left(c^{3} d^{6} e x^{2} + 3 \, a c^{2} d^{4} e^{3} x^{2} + 3 \, a^{2} c d^{2} e^{5} x^{2} + a^{3} e^{7} x^{2} + 2 \, c^{3} d^{7} x + 6 \, a c^{2} d^{5} e^{2} x + 6 \, a^{2} c d^{3} e^{4} x + 2 \, a^{3} d e^{6} x + \frac{c^{3} d^{8}}{e} + 3 \, a c^{2} d^{6} e + 3 \, a^{2} c d^{4} e^{3} + a^{3} d^{2} e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{3} d^{2}}{24 \, {\left(c^{3} d^{6} e + 3 \, a c^{2} d^{4} e^{3} + 3 \, a^{2} c d^{2} e^{5} + a^{3} e^{7}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d^{2}}{4 \, {\left(c^{2} d^{4} e^{3} + 2 \, a c d^{2} e^{5} + a^{2} e^{7}\right)}} - \frac{35 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d x}{24 \, {\left(c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)}} - \frac{35 \, \sqrt{c x^{2} + a} a c^{3} d x}{16 \, {\left(c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)}} - \frac{35 \, a c^{3} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{3}{2}} d^{2} e^{4} + a \sqrt{c} e^{6}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c d}{12 \, {\left(c^{2} d^{4} e^{2} x^{3} + 2 \, a c d^{2} e^{4} x^{3} + a^{2} e^{6} x^{3} + 3 \, c^{2} d^{5} e x^{2} + 6 \, a c d^{3} e^{3} x^{2} + 3 \, a^{2} d e^{5} x^{2} + 3 \, c^{2} d^{6} x + 6 \, a c d^{4} e^{2} x + 3 \, a^{2} d^{2} e^{4} x + \frac{c^{2} d^{7}}{e} + 2 \, a c d^{5} e + a^{2} d^{3} e^{3}\right)}} + \frac{19 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2} d}{24 \, {\left(c^{2} d^{4} e^{2} x + 2 \, a c d^{2} e^{4} x + a^{2} e^{6} x + c^{2} d^{5} e + 2 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} c^{3} d^{2}}{4 \, {\left(c d^{2} e^{5} + a e^{7}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{3} d x}{16 \, {\left(c d^{2} e^{4} + a e^{6}\right)}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c}{8 \, {\left(c^{2} d^{4} e x^{2} + 2 \, a c d^{2} e^{3} x^{2} + a^{2} e^{5} x^{2} + 2 \, c^{2} d^{5} x + 4 \, a c d^{3} e^{2} x + 2 \, a^{2} d e^{4} x + \frac{c^{2} d^{6}}{e} + 2 \, a c d^{4} e + a^{2} d^{2} e^{3}\right)}} + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2}}{8 \, {\left(c^{2} d^{4} e + 2 \, a c d^{2} e^{3} + a^{2} e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}}}{4 \, {\left(c d^{2} e^{3} x^{4} + a e^{5} x^{4} + 4 \, c d^{3} e^{2} x^{3} + 4 \, a d e^{4} x^{3} + 6 \, c d^{4} e x^{2} + 6 \, a d^{2} e^{3} x^{2} + 4 \, c d^{5} x + 4 \, a d^{3} e^{2} x + \frac{c d^{6}}{e} + a d^{4} e\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}}{8 \, {\left(c d^{2} e^{3} + a e^{5}\right)}} - \frac{45 \, c^{\frac{5}{2}} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, e^{6}} - \frac{5 \, c^{4} d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{9}} + \frac{15 \, c^{3} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{4 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} e^{7}} + \frac{15 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} c^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, e^{5}} + \frac{15 \, \sqrt{c x^{2} + a} c^{2}}{8 \, e^{5}}"," ",0,"-5/16*c^6*d^7*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^6 + 3*a*c^(5/2)*d^4*e^8 + 3*a^2*c^(3/2)*d^2*e^10 + a^3*sqrt(c)*e^12) - 5/16*a*c^5*d^5*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^4 + 3*a*c^(5/2)*d^4*e^6 + 3*a^2*c^(3/2)*d^2*e^8 + a^3*sqrt(c)*e^10) + 5/16*sqrt(c*x^2 + a)*c^5*d^5*x/(c^3*d^6*e^4 + 3*a*c^2*d^4*e^6 + 3*a^2*c*d^2*e^8 + a^3*e^10) + 45/16*c^5*d^5*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^6 + 2*a*c^(3/2)*d^2*e^8 + a^2*sqrt(c)*e^10) - 5/24*(c*x^2 + a)^(3/2)*c^4*d^4/(c^3*d^6*e^3 + 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 + a^3*e^9) + 5/24*(c*x^2 + a)^(3/2)*c^4*d^3*x/(c^3*d^6*e^2 + 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 + a^3*e^8) + 5/16*sqrt(c*x^2 + a)*a*c^4*d^3*x/(c^3*d^6*e^2 + 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 + a^3*e^8) + 5/2*a*c^4*d^3*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^4 + 2*a*c^(3/2)*d^2*e^6 + a^2*sqrt(c)*e^8) - 1/8*(c*x^2 + a)^(5/2)*c^3*d^3/(c^3*d^6*e^2*x + 3*a*c^2*d^4*e^4*x + 3*a^2*c*d^2*e^6*x + a^3*e^8*x + c^3*d^7*e + 3*a*c^2*d^5*e^3 + 3*a^2*c*d^3*e^5 + a^3*d*e^7) - 5/8*sqrt(c*x^2 + a)*c^4*d^4/(c^2*d^4*e^5 + 2*a*c*d^2*e^7 + a^2*e^9) - 15/8*sqrt(c*x^2 + a)*c^4*d^3*x/(c^2*d^4*e^4 + 2*a*c*d^2*e^6 + a^2*e^8) - 75/16*c^4*d^3*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*d^2*e^6 + a*sqrt(c)*e^8) + 1/24*(c*x^2 + a)^(7/2)*c^2*d^2/(c^3*d^6*e*x^2 + 3*a*c^2*d^4*e^3*x^2 + 3*a^2*c*d^2*e^5*x^2 + a^3*e^7*x^2 + 2*c^3*d^7*x + 6*a*c^2*d^5*e^2*x + 6*a^2*c*d^3*e^4*x + 2*a^3*d*e^6*x + c^3*d^8/e + 3*a*c^2*d^6*e + 3*a^2*c*d^4*e^3 + a^3*d^2*e^5) - 1/24*(c*x^2 + a)^(5/2)*c^3*d^2/(c^3*d^6*e + 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 + a^3*e^7) + 5/4*(c*x^2 + a)^(3/2)*c^3*d^2/(c^2*d^4*e^3 + 2*a*c*d^2*e^5 + a^2*e^7) - 35/24*(c*x^2 + a)^(3/2)*c^3*d*x/(c^2*d^4*e^2 + 2*a*c*d^2*e^4 + a^2*e^6) - 35/16*sqrt(c*x^2 + a)*a*c^3*d*x/(c^2*d^4*e^2 + 2*a*c*d^2*e^4 + a^2*e^6) - 35/16*a*c^3*d*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*d^2*e^4 + a*sqrt(c)*e^6) - 1/12*(c*x^2 + a)^(7/2)*c*d/(c^2*d^4*e^2*x^3 + 2*a*c*d^2*e^4*x^3 + a^2*e^6*x^3 + 3*c^2*d^5*e*x^2 + 6*a*c*d^3*e^3*x^2 + 3*a^2*d*e^5*x^2 + 3*c^2*d^6*x + 6*a*c*d^4*e^2*x + 3*a^2*d^2*e^4*x + c^2*d^7/e + 2*a*c*d^5*e + a^2*d^3*e^3) + 19/24*(c*x^2 + a)^(5/2)*c^2*d/(c^2*d^4*e^2*x + 2*a*c*d^2*e^4*x + a^2*e^6*x + c^2*d^5*e + 2*a*c*d^3*e^3 + a^2*d*e^5) + 15/4*sqrt(c*x^2 + a)*c^3*d^2/(c*d^2*e^5 + a*e^7) - 15/16*sqrt(c*x^2 + a)*c^3*d*x/(c*d^2*e^4 + a*e^6) - 3/8*(c*x^2 + a)^(7/2)*c/(c^2*d^4*e*x^2 + 2*a*c*d^2*e^3*x^2 + a^2*e^5*x^2 + 2*c^2*d^5*x + 4*a*c*d^3*e^2*x + 2*a^2*d*e^4*x + c^2*d^6/e + 2*a*c*d^4*e + a^2*d^2*e^3) + 3/8*(c*x^2 + a)^(5/2)*c^2/(c^2*d^4*e + 2*a*c*d^2*e^3 + a^2*e^5) - 1/4*(c*x^2 + a)^(7/2)/(c*d^2*e^3*x^4 + a*e^5*x^4 + 4*c*d^3*e^2*x^3 + 4*a*d*e^4*x^3 + 6*c*d^4*e*x^2 + 6*a*d^2*e^3*x^2 + 4*c*d^5*x + 4*a*d^3*e^2*x + c*d^6/e + a*d^4*e) + 5/8*(c*x^2 + a)^(3/2)*c^2/(c*d^2*e^3 + a*e^5) - 45/16*c^(5/2)*d*arcsinh(c*x/sqrt(a*c))/e^6 - 5/8*c^4*d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^9) + 15/4*c^3*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^7) + 15/8*sqrt(a + c*d^2/e^2)*c^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^5 + 15/8*sqrt(c*x^2 + a)*c^2/e^5","B",0
554,1,3009,0,4.470902," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{3 \, c^{7} d^{8} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{9}{2}} d^{8} e^{6} + 4 \, a c^{\frac{7}{2}} d^{6} e^{8} + 6 \, a^{2} c^{\frac{5}{2}} d^{4} e^{10} + 4 \, a^{3} c^{\frac{3}{2}} d^{2} e^{12} + a^{4} \sqrt{c} e^{14}\right)}} - \frac{3 \, a c^{6} d^{6} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{9}{2}} d^{8} e^{4} + 4 \, a c^{\frac{7}{2}} d^{6} e^{6} + 6 \, a^{2} c^{\frac{5}{2}} d^{4} e^{8} + 4 \, a^{3} c^{\frac{3}{2}} d^{2} e^{10} + a^{4} \sqrt{c} e^{12}\right)}} + \frac{3 \, \sqrt{c x^{2} + a} c^{6} d^{6} x}{16 \, {\left(c^{4} d^{8} e^{4} + 4 \, a c^{3} d^{6} e^{6} + 6 \, a^{2} c^{2} d^{4} e^{8} + 4 \, a^{3} c d^{2} e^{10} + a^{4} e^{12}\right)}} + \frac{19 \, c^{6} d^{6} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{7}{2}} d^{6} e^{6} + 3 \, a c^{\frac{5}{2}} d^{4} e^{8} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{10} + a^{3} \sqrt{c} e^{12}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d^{5}}{8 \, {\left(c^{4} d^{8} e^{3} + 4 \, a c^{3} d^{6} e^{5} + 6 \, a^{2} c^{2} d^{4} e^{7} + 4 \, a^{3} c d^{2} e^{9} + a^{4} e^{11}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d^{4} x}{8 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} + \frac{3 \, \sqrt{c x^{2} + a} a c^{5} d^{4} x}{16 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} + \frac{a c^{5} d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{7}{2}} d^{6} e^{4} + 3 \, a c^{\frac{5}{2}} d^{4} e^{6} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{8} + a^{3} \sqrt{c} e^{10}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{4} d^{4}}{40 \, {\left(c^{4} d^{8} e^{2} x + 4 \, a c^{3} d^{6} e^{4} x + 6 \, a^{2} c^{2} d^{4} e^{6} x + 4 \, a^{3} c d^{2} e^{8} x + a^{4} e^{10} x + c^{4} d^{9} e + 4 \, a c^{3} d^{7} e^{3} + 6 \, a^{2} c^{2} d^{5} e^{5} + 4 \, a^{3} c d^{3} e^{7} + a^{4} d e^{9}\right)}} - \frac{3 \, \sqrt{c x^{2} + a} c^{5} d^{5}}{8 \, {\left(c^{3} d^{6} e^{5} + 3 \, a c^{2} d^{4} e^{7} + 3 \, a^{2} c d^{2} e^{9} + a^{3} e^{11}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c^{5} d^{4} x}{8 \, {\left(c^{3} d^{6} e^{4} + 3 \, a c^{2} d^{4} e^{6} + 3 \, a^{2} c d^{2} e^{8} + a^{3} e^{10}\right)}} - \frac{45 \, c^{5} d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{5}{2}} d^{4} e^{6} + 2 \, a c^{\frac{3}{2}} d^{2} e^{8} + a^{2} \sqrt{c} e^{10}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3} d^{3}}{40 \, {\left(c^{4} d^{8} e x^{2} + 4 \, a c^{3} d^{6} e^{3} x^{2} + 6 \, a^{2} c^{2} d^{4} e^{5} x^{2} + 4 \, a^{3} c d^{2} e^{7} x^{2} + a^{4} e^{9} x^{2} + 2 \, c^{4} d^{9} x + 8 \, a c^{3} d^{7} e^{2} x + 12 \, a^{2} c^{2} d^{5} e^{4} x + 8 \, a^{3} c d^{3} e^{6} x + 2 \, a^{4} d e^{8} x + \frac{c^{4} d^{10}}{e} + 4 \, a c^{3} d^{8} e + 6 \, a^{2} c^{2} d^{6} e^{3} + 4 \, a^{3} c d^{4} e^{5} + a^{4} d^{2} e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{4} d^{3}}{40 \, {\left(c^{4} d^{8} e + 4 \, a c^{3} d^{6} e^{3} + 6 \, a^{2} c^{2} d^{4} e^{5} + 4 \, a^{3} c d^{2} e^{7} + a^{4} e^{9}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d^{3}}{12 \, {\left(c^{3} d^{6} e^{3} + 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} + a^{3} e^{9}\right)}} - \frac{13 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d^{2} x}{24 \, {\left(c^{3} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)}} - \frac{13 \, \sqrt{c x^{2} + a} a c^{4} d^{2} x}{16 \, {\left(c^{3} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)}} - \frac{29 \, a c^{4} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{5}{2}} d^{4} e^{4} + 2 \, a c^{\frac{3}{2}} d^{2} e^{6} + a^{2} \sqrt{c} e^{8}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2} d^{2}}{20 \, {\left(c^{3} d^{6} e^{2} x^{3} + 3 \, a c^{2} d^{4} e^{4} x^{3} + 3 \, a^{2} c d^{2} e^{6} x^{3} + a^{3} e^{8} x^{3} + 3 \, c^{3} d^{7} e x^{2} + 9 \, a c^{2} d^{5} e^{3} x^{2} + 9 \, a^{2} c d^{3} e^{5} x^{2} + 3 \, a^{3} d e^{7} x^{2} + 3 \, c^{3} d^{8} x + 9 \, a c^{2} d^{6} e^{2} x + 9 \, a^{2} c d^{4} e^{4} x + 3 \, a^{3} d^{2} e^{6} x + \frac{c^{3} d^{9}}{e} + 3 \, a c^{2} d^{7} e + 3 \, a^{2} c d^{5} e^{3} + a^{3} d^{3} e^{5}\right)}} + \frac{11 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{3} d^{2}}{40 \, {\left(c^{3} d^{6} e^{2} x + 3 \, a c^{2} d^{4} e^{4} x + 3 \, a^{2} c d^{2} e^{6} x + a^{3} e^{8} x + c^{3} d^{7} e + 3 \, a c^{2} d^{5} e^{3} + 3 \, a^{2} c d^{3} e^{5} + a^{3} d e^{7}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} c^{4} d^{3}}{4 \, {\left(c^{2} d^{4} e^{5} + 2 \, a c d^{2} e^{7} + a^{2} e^{9}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} c^{4} d^{2} x}{16 \, {\left(c^{2} d^{4} e^{4} + 2 \, a c d^{2} e^{6} + a^{2} e^{8}\right)}} + \frac{45 \, c^{4} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{3}{2}} d^{2} e^{6} + a \sqrt{c} e^{8}\right)}} - \frac{19 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2} d}{120 \, {\left(c^{3} d^{6} e x^{2} + 3 \, a c^{2} d^{4} e^{3} x^{2} + 3 \, a^{2} c d^{2} e^{5} x^{2} + a^{3} e^{7} x^{2} + 2 \, c^{3} d^{7} x + 6 \, a c^{2} d^{5} e^{2} x + 6 \, a^{2} c d^{3} e^{4} x + 2 \, a^{3} d e^{6} x + \frac{c^{3} d^{8}}{e} + 3 \, a c^{2} d^{6} e + 3 \, a^{2} c d^{4} e^{3} + a^{3} d^{2} e^{5}\right)}} + \frac{19 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{3} d}{120 \, {\left(c^{3} d^{6} e + 3 \, a c^{2} d^{4} e^{3} + 3 \, a^{2} c d^{2} e^{5} + a^{3} e^{7}\right)}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c d}{20 \, {\left(c^{2} d^{4} e^{3} x^{4} + 2 \, a c d^{2} e^{5} x^{4} + a^{2} e^{7} x^{4} + 4 \, c^{2} d^{5} e^{2} x^{3} + 8 \, a c d^{3} e^{4} x^{3} + 4 \, a^{2} d e^{6} x^{3} + 6 \, c^{2} d^{6} e x^{2} + 12 \, a c d^{4} e^{3} x^{2} + 6 \, a^{2} d^{2} e^{5} x^{2} + 4 \, c^{2} d^{7} x + 8 \, a c d^{5} e^{2} x + 4 \, a^{2} d^{3} e^{4} x + \frac{c^{2} d^{8}}{e} + 2 \, a c d^{6} e + a^{2} d^{4} e^{3}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d}{8 \, {\left(c^{2} d^{4} e^{3} + 2 \, a c d^{2} e^{5} + a^{2} e^{7}\right)}} + \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} x}{3 \, {\left(c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)}} + \frac{\sqrt{c x^{2} + a} a c^{3} x}{c^{2} d^{4} e^{2} + 2 \, a c d^{2} e^{4} + a^{2} e^{6}} + \frac{a c^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}} d^{2} e^{4} + a \sqrt{c} e^{6}} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c}{15 \, {\left(c^{2} d^{4} e^{2} x^{3} + 2 \, a c d^{2} e^{4} x^{3} + a^{2} e^{6} x^{3} + 3 \, c^{2} d^{5} e x^{2} + 6 \, a c d^{3} e^{3} x^{2} + 3 \, a^{2} d e^{5} x^{2} + 3 \, c^{2} d^{6} x + 6 \, a c d^{4} e^{2} x + 3 \, a^{2} d^{2} e^{4} x + \frac{c^{2} d^{7}}{e} + 2 \, a c d^{5} e + a^{2} d^{3} e^{3}\right)}} - \frac{8 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{2}}{15 \, {\left(c^{2} d^{4} e^{2} x + 2 \, a c d^{2} e^{4} x + a^{2} e^{6} x + c^{2} d^{5} e + 2 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{3} d}{8 \, {\left(c d^{2} e^{5} + a e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}}}{5 \, {\left(c d^{2} e^{4} x^{5} + a e^{6} x^{5} + 5 \, c d^{3} e^{3} x^{4} + 5 \, a d e^{5} x^{4} + 10 \, c d^{4} e^{2} x^{3} + 10 \, a d^{2} e^{4} x^{3} + 10 \, c d^{5} e x^{2} + 10 \, a d^{3} e^{3} x^{2} + 5 \, c d^{6} x + 5 \, a d^{4} e^{2} x + \frac{c d^{7}}{e} + a d^{5} e\right)}} - \frac{3 \, c^{5} d^{5} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{11}} + \frac{5 \, c^{4} d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{4 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{9}} - \frac{15 \, c^{3} d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{8 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} e^{7}}"," ",0,"-3/16*c^7*d^8*arcsinh(c*x/sqrt(a*c))/(c^(9/2)*d^8*e^6 + 4*a*c^(7/2)*d^6*e^8 + 6*a^2*c^(5/2)*d^4*e^10 + 4*a^3*c^(3/2)*d^2*e^12 + a^4*sqrt(c)*e^14) - 3/16*a*c^6*d^6*arcsinh(c*x/sqrt(a*c))/(c^(9/2)*d^8*e^4 + 4*a*c^(7/2)*d^6*e^6 + 6*a^2*c^(5/2)*d^4*e^8 + 4*a^3*c^(3/2)*d^2*e^10 + a^4*sqrt(c)*e^12) + 3/16*sqrt(c*x^2 + a)*c^6*d^6*x/(c^4*d^8*e^4 + 4*a*c^3*d^6*e^6 + 6*a^2*c^2*d^4*e^8 + 4*a^3*c*d^2*e^10 + a^4*e^12) + 19/16*c^6*d^6*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^6 + 3*a*c^(5/2)*d^4*e^8 + 3*a^2*c^(3/2)*d^2*e^10 + a^3*sqrt(c)*e^12) - 1/8*(c*x^2 + a)^(3/2)*c^5*d^5/(c^4*d^8*e^3 + 4*a*c^3*d^6*e^5 + 6*a^2*c^2*d^4*e^7 + 4*a^3*c*d^2*e^9 + a^4*e^11) + 1/8*(c*x^2 + a)^(3/2)*c^5*d^4*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) + 3/16*sqrt(c*x^2 + a)*a*c^5*d^4*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) + a*c^5*d^4*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^4 + 3*a*c^(5/2)*d^4*e^6 + 3*a^2*c^(3/2)*d^2*e^8 + a^3*sqrt(c)*e^10) - 3/40*(c*x^2 + a)^(5/2)*c^4*d^4/(c^4*d^8*e^2*x + 4*a*c^3*d^6*e^4*x + 6*a^2*c^2*d^4*e^6*x + 4*a^3*c*d^2*e^8*x + a^4*e^10*x + c^4*d^9*e + 4*a*c^3*d^7*e^3 + 6*a^2*c^2*d^5*e^5 + 4*a^3*c*d^3*e^7 + a^4*d*e^9) - 3/8*sqrt(c*x^2 + a)*c^5*d^5/(c^3*d^6*e^5 + 3*a*c^2*d^4*e^7 + 3*a^2*c*d^2*e^9 + a^3*e^11) - 5/8*sqrt(c*x^2 + a)*c^5*d^4*x/(c^3*d^6*e^4 + 3*a*c^2*d^4*e^6 + 3*a^2*c*d^2*e^8 + a^3*e^10) - 45/16*c^5*d^4*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^6 + 2*a*c^(3/2)*d^2*e^8 + a^2*sqrt(c)*e^10) + 1/40*(c*x^2 + a)^(7/2)*c^3*d^3/(c^4*d^8*e*x^2 + 4*a*c^3*d^6*e^3*x^2 + 6*a^2*c^2*d^4*e^5*x^2 + 4*a^3*c*d^2*e^7*x^2 + a^4*e^9*x^2 + 2*c^4*d^9*x + 8*a*c^3*d^7*e^2*x + 12*a^2*c^2*d^5*e^4*x + 8*a^3*c*d^3*e^6*x + 2*a^4*d*e^8*x + c^4*d^10/e + 4*a*c^3*d^8*e + 6*a^2*c^2*d^6*e^3 + 4*a^3*c*d^4*e^5 + a^4*d^2*e^7) - 1/40*(c*x^2 + a)^(5/2)*c^4*d^3/(c^4*d^8*e + 4*a*c^3*d^6*e^3 + 6*a^2*c^2*d^4*e^5 + 4*a^3*c*d^2*e^7 + a^4*e^9) + 5/12*(c*x^2 + a)^(3/2)*c^4*d^3/(c^3*d^6*e^3 + 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 + a^3*e^9) - 13/24*(c*x^2 + a)^(3/2)*c^4*d^2*x/(c^3*d^6*e^2 + 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 + a^3*e^8) - 13/16*sqrt(c*x^2 + a)*a*c^4*d^2*x/(c^3*d^6*e^2 + 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 + a^3*e^8) - 29/16*a*c^4*d^2*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^4 + 2*a*c^(3/2)*d^2*e^6 + a^2*sqrt(c)*e^8) - 1/20*(c*x^2 + a)^(7/2)*c^2*d^2/(c^3*d^6*e^2*x^3 + 3*a*c^2*d^4*e^4*x^3 + 3*a^2*c*d^2*e^6*x^3 + a^3*e^8*x^3 + 3*c^3*d^7*e*x^2 + 9*a*c^2*d^5*e^3*x^2 + 9*a^2*c*d^3*e^5*x^2 + 3*a^3*d*e^7*x^2 + 3*c^3*d^8*x + 9*a*c^2*d^6*e^2*x + 9*a^2*c*d^4*e^4*x + 3*a^3*d^2*e^6*x + c^3*d^9/e + 3*a*c^2*d^7*e + 3*a^2*c*d^5*e^3 + a^3*d^3*e^5) + 11/40*(c*x^2 + a)^(5/2)*c^3*d^2/(c^3*d^6*e^2*x + 3*a*c^2*d^4*e^4*x + 3*a^2*c*d^2*e^6*x + a^3*e^8*x + c^3*d^7*e + 3*a*c^2*d^5*e^3 + 3*a^2*c*d^3*e^5 + a^3*d*e^7) + 5/4*sqrt(c*x^2 + a)*c^4*d^3/(c^2*d^4*e^5 + 2*a*c*d^2*e^7 + a^2*e^9) + 15/16*sqrt(c*x^2 + a)*c^4*d^2*x/(c^2*d^4*e^4 + 2*a*c*d^2*e^6 + a^2*e^8) + 45/16*c^4*d^2*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*d^2*e^6 + a*sqrt(c)*e^8) - 19/120*(c*x^2 + a)^(7/2)*c^2*d/(c^3*d^6*e*x^2 + 3*a*c^2*d^4*e^3*x^2 + 3*a^2*c*d^2*e^5*x^2 + a^3*e^7*x^2 + 2*c^3*d^7*x + 6*a*c^2*d^5*e^2*x + 6*a^2*c*d^3*e^4*x + 2*a^3*d*e^6*x + c^3*d^8/e + 3*a*c^2*d^6*e + 3*a^2*c*d^4*e^3 + a^3*d^2*e^5) + 19/120*(c*x^2 + a)^(5/2)*c^3*d/(c^3*d^6*e + 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 + a^3*e^7) - 3/20*(c*x^2 + a)^(7/2)*c*d/(c^2*d^4*e^3*x^4 + 2*a*c*d^2*e^5*x^4 + a^2*e^7*x^4 + 4*c^2*d^5*e^2*x^3 + 8*a*c*d^3*e^4*x^3 + 4*a^2*d*e^6*x^3 + 6*c^2*d^6*e*x^2 + 12*a*c*d^4*e^3*x^2 + 6*a^2*d^2*e^5*x^2 + 4*c^2*d^7*x + 8*a*c*d^5*e^2*x + 4*a^2*d^3*e^4*x + c^2*d^8/e + 2*a*c*d^6*e + a^2*d^4*e^3) - 5/8*(c*x^2 + a)^(3/2)*c^3*d/(c^2*d^4*e^3 + 2*a*c*d^2*e^5 + a^2*e^7) + 2/3*(c*x^2 + a)^(3/2)*c^3*x/(c^2*d^4*e^2 + 2*a*c*d^2*e^4 + a^2*e^6) + sqrt(c*x^2 + a)*a*c^3*x/(c^2*d^4*e^2 + 2*a*c*d^2*e^4 + a^2*e^6) + a*c^3*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*d^2*e^4 + a*sqrt(c)*e^6) - 2/15*(c*x^2 + a)^(7/2)*c/(c^2*d^4*e^2*x^3 + 2*a*c*d^2*e^4*x^3 + a^2*e^6*x^3 + 3*c^2*d^5*e*x^2 + 6*a*c*d^3*e^3*x^2 + 3*a^2*d*e^5*x^2 + 3*c^2*d^6*x + 6*a*c*d^4*e^2*x + 3*a^2*d^2*e^4*x + c^2*d^7/e + 2*a*c*d^5*e + a^2*d^3*e^3) - 8/15*(c*x^2 + a)^(5/2)*c^2/(c^2*d^4*e^2*x + 2*a*c*d^2*e^4*x + a^2*e^6*x + c^2*d^5*e + 2*a*c*d^3*e^3 + a^2*d*e^5) - 15/8*sqrt(c*x^2 + a)*c^3*d/(c*d^2*e^5 + a*e^7) - 1/5*(c*x^2 + a)^(7/2)/(c*d^2*e^4*x^5 + a*e^6*x^5 + 5*c*d^3*e^3*x^4 + 5*a*d*e^5*x^4 + 10*c*d^4*e^2*x^3 + 10*a*d^2*e^4*x^3 + 10*c*d^5*e*x^2 + 10*a*d^3*e^3*x^2 + 5*c*d^6*x + 5*a*d^4*e^2*x + c*d^7/e + a*d^5*e) - 3/8*c^5*d^5*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^11) + 5/4*c^4*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^9) - 15/8*c^3*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^7)","B",0
555,1,4635,0,5.605746," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{5 \, c^{8} d^{9} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{11}{2}} d^{10} e^{6} + 5 \, a c^{\frac{9}{2}} d^{8} e^{8} + 10 \, a^{2} c^{\frac{7}{2}} d^{6} e^{10} + 10 \, a^{3} c^{\frac{5}{2}} d^{4} e^{12} + 5 \, a^{4} c^{\frac{3}{2}} d^{2} e^{14} + a^{5} \sqrt{c} e^{16}\right)}} - \frac{5 \, a c^{7} d^{7} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{11}{2}} d^{10} e^{4} + 5 \, a c^{\frac{9}{2}} d^{8} e^{6} + 10 \, a^{2} c^{\frac{7}{2}} d^{6} e^{8} + 10 \, a^{3} c^{\frac{5}{2}} d^{4} e^{10} + 5 \, a^{4} c^{\frac{3}{2}} d^{2} e^{12} + a^{5} \sqrt{c} e^{14}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} c^{7} d^{7} x}{32 \, {\left(c^{5} d^{10} e^{4} + 5 \, a c^{4} d^{8} e^{6} + 10 \, a^{2} c^{3} d^{6} e^{8} + 10 \, a^{3} c^{2} d^{4} e^{10} + 5 \, a^{4} c d^{2} e^{12} + a^{5} e^{14}\right)}} + \frac{15 \, c^{7} d^{7} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{9}{2}} d^{8} e^{6} + 4 \, a c^{\frac{7}{2}} d^{6} e^{8} + 6 \, a^{2} c^{\frac{5}{2}} d^{4} e^{10} + 4 \, a^{3} c^{\frac{3}{2}} d^{2} e^{12} + a^{4} \sqrt{c} e^{14}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{6} d^{6}}{48 \, {\left(c^{5} d^{10} e^{3} + 5 \, a c^{4} d^{8} e^{5} + 10 \, a^{2} c^{3} d^{6} e^{7} + 10 \, a^{3} c^{2} d^{4} e^{9} + 5 \, a^{4} c d^{2} e^{11} + a^{5} e^{13}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{6} d^{5} x}{48 \, {\left(c^{5} d^{10} e^{2} + 5 \, a c^{4} d^{8} e^{4} + 10 \, a^{2} c^{3} d^{6} e^{6} + 10 \, a^{3} c^{2} d^{4} e^{8} + 5 \, a^{4} c d^{2} e^{10} + a^{5} e^{12}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} a c^{6} d^{5} x}{32 \, {\left(c^{5} d^{10} e^{2} + 5 \, a c^{4} d^{8} e^{4} + 10 \, a^{2} c^{3} d^{6} e^{6} + 10 \, a^{3} c^{2} d^{4} e^{8} + 5 \, a^{4} c d^{2} e^{10} + a^{5} e^{12}\right)}} + \frac{25 \, a c^{6} d^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{9}{2}} d^{8} e^{4} + 4 \, a c^{\frac{7}{2}} d^{6} e^{6} + 6 \, a^{2} c^{\frac{5}{2}} d^{4} e^{8} + 4 \, a^{3} c^{\frac{3}{2}} d^{2} e^{10} + a^{4} \sqrt{c} e^{12}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{5} d^{5}}{16 \, {\left(c^{5} d^{10} e^{2} x + 5 \, a c^{4} d^{8} e^{4} x + 10 \, a^{2} c^{3} d^{6} e^{6} x + 10 \, a^{3} c^{2} d^{4} e^{8} x + 5 \, a^{4} c d^{2} e^{10} x + a^{5} e^{12} x + c^{5} d^{11} e + 5 \, a c^{4} d^{9} e^{3} + 10 \, a^{2} c^{3} d^{7} e^{5} + 10 \, a^{3} c^{2} d^{5} e^{7} + 5 \, a^{4} c d^{3} e^{9} + a^{5} d e^{11}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c^{6} d^{6}}{16 \, {\left(c^{4} d^{8} e^{5} + 4 \, a c^{3} d^{6} e^{7} + 6 \, a^{2} c^{2} d^{4} e^{9} + 4 \, a^{3} c d^{2} e^{11} + a^{4} e^{13}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{6} d^{5} x}{32 \, {\left(c^{4} d^{8} e^{4} + 4 \, a c^{3} d^{6} e^{6} + 6 \, a^{2} c^{2} d^{4} e^{8} + 4 \, a^{3} c d^{2} e^{10} + a^{4} e^{12}\right)}} - \frac{15 \, c^{6} d^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, {\left(c^{\frac{7}{2}} d^{6} e^{6} + 3 \, a c^{\frac{5}{2}} d^{4} e^{8} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{10} + a^{3} \sqrt{c} e^{12}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{4} d^{4}}{48 \, {\left(c^{5} d^{10} e x^{2} + 5 \, a c^{4} d^{8} e^{3} x^{2} + 10 \, a^{2} c^{3} d^{6} e^{5} x^{2} + 10 \, a^{3} c^{2} d^{4} e^{7} x^{2} + 5 \, a^{4} c d^{2} e^{9} x^{2} + a^{5} e^{11} x^{2} + 2 \, c^{5} d^{11} x + 10 \, a c^{4} d^{9} e^{2} x + 20 \, a^{2} c^{3} d^{7} e^{4} x + 20 \, a^{3} c^{2} d^{5} e^{6} x + 10 \, a^{4} c d^{3} e^{8} x + 2 \, a^{5} d e^{10} x + \frac{c^{5} d^{12}}{e} + 5 \, a c^{4} d^{10} e + 10 \, a^{2} c^{3} d^{8} e^{3} + 10 \, a^{3} c^{2} d^{6} e^{5} + 5 \, a^{4} c d^{4} e^{7} + a^{5} d^{2} e^{9}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{5} d^{4}}{48 \, {\left(c^{5} d^{10} e + 5 \, a c^{4} d^{8} e^{3} + 10 \, a^{2} c^{3} d^{6} e^{5} + 10 \, a^{3} c^{2} d^{4} e^{7} + 5 \, a^{4} c d^{2} e^{9} + a^{5} e^{11}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d^{4}}{16 \, {\left(c^{4} d^{8} e^{3} + 4 \, a c^{3} d^{6} e^{5} + 6 \, a^{2} c^{2} d^{4} e^{7} + 4 \, a^{3} c d^{2} e^{9} + a^{4} e^{11}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d^{3} x}{12 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} a c^{5} d^{3} x}{8 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} - \frac{35 \, a c^{5} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{7}{2}} d^{6} e^{4} + 3 \, a c^{\frac{5}{2}} d^{4} e^{6} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{8} + a^{3} \sqrt{c} e^{10}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3} d^{3}}{24 \, {\left(c^{4} d^{8} e^{2} x^{3} + 4 \, a c^{3} d^{6} e^{4} x^{3} + 6 \, a^{2} c^{2} d^{4} e^{6} x^{3} + 4 \, a^{3} c d^{2} e^{8} x^{3} + a^{4} e^{10} x^{3} + 3 \, c^{4} d^{9} e x^{2} + 12 \, a c^{3} d^{7} e^{3} x^{2} + 18 \, a^{2} c^{2} d^{5} e^{5} x^{2} + 12 \, a^{3} c d^{3} e^{7} x^{2} + 3 \, a^{4} d e^{9} x^{2} + 3 \, c^{4} d^{10} x + 12 \, a c^{3} d^{8} e^{2} x + 18 \, a^{2} c^{2} d^{6} e^{4} x + 12 \, a^{3} c d^{4} e^{6} x + 3 \, a^{4} d^{2} e^{8} x + \frac{c^{4} d^{11}}{e} + 4 \, a c^{3} d^{9} e + 6 \, a^{2} c^{2} d^{7} e^{3} + 4 \, a^{3} c d^{5} e^{5} + a^{4} d^{3} e^{7}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{4} d^{3}}{24 \, {\left(c^{4} d^{8} e^{2} x + 4 \, a c^{3} d^{6} e^{4} x + 6 \, a^{2} c^{2} d^{4} e^{6} x + 4 \, a^{3} c d^{2} e^{8} x + a^{4} e^{10} x + c^{4} d^{9} e + 4 \, a c^{3} d^{7} e^{3} + 6 \, a^{2} c^{2} d^{5} e^{5} + 4 \, a^{3} c d^{3} e^{7} + a^{4} d e^{9}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} c^{5} d^{4}}{16 \, {\left(c^{3} d^{6} e^{5} + 3 \, a c^{2} d^{4} e^{7} + 3 \, a^{2} c d^{2} e^{9} + a^{3} e^{11}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} c^{5} d^{3} x}{32 \, {\left(c^{3} d^{6} e^{4} + 3 \, a c^{2} d^{4} e^{6} + 3 \, a^{2} c d^{2} e^{8} + a^{3} e^{10}\right)}} + \frac{25 \, c^{5} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{5}{2}} d^{4} e^{6} + 2 \, a c^{\frac{3}{2}} d^{2} e^{8} + a^{2} \sqrt{c} e^{10}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3} d^{2}}{8 \, {\left(c^{4} d^{8} e x^{2} + 4 \, a c^{3} d^{6} e^{3} x^{2} + 6 \, a^{2} c^{2} d^{4} e^{5} x^{2} + 4 \, a^{3} c d^{2} e^{7} x^{2} + a^{4} e^{9} x^{2} + 2 \, c^{4} d^{9} x + 8 \, a c^{3} d^{7} e^{2} x + 12 \, a^{2} c^{2} d^{5} e^{4} x + 8 \, a^{3} c d^{3} e^{6} x + 2 \, a^{4} d e^{8} x + \frac{c^{4} d^{10}}{e} + 4 \, a c^{3} d^{8} e + 6 \, a^{2} c^{2} d^{6} e^{3} + 4 \, a^{3} c d^{4} e^{5} + a^{4} d^{2} e^{7}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{4} d^{2}}{8 \, {\left(c^{4} d^{8} e + 4 \, a c^{3} d^{6} e^{3} + 6 \, a^{2} c^{2} d^{4} e^{5} + 4 \, a^{3} c d^{2} e^{7} + a^{4} e^{9}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2} d^{2}}{8 \, {\left(c^{3} d^{6} e^{3} x^{4} + 3 \, a c^{2} d^{4} e^{5} x^{4} + 3 \, a^{2} c d^{2} e^{7} x^{4} + a^{3} e^{9} x^{4} + 4 \, c^{3} d^{7} e^{2} x^{3} + 12 \, a c^{2} d^{5} e^{4} x^{3} + 12 \, a^{2} c d^{3} e^{6} x^{3} + 4 \, a^{3} d e^{8} x^{3} + 6 \, c^{3} d^{8} e x^{2} + 18 \, a c^{2} d^{6} e^{3} x^{2} + 18 \, a^{2} c d^{4} e^{5} x^{2} + 6 \, a^{3} d^{2} e^{7} x^{2} + 4 \, c^{3} d^{9} x + 12 \, a c^{2} d^{7} e^{2} x + 12 \, a^{2} c d^{5} e^{4} x + 4 \, a^{3} d^{3} e^{6} x + \frac{c^{3} d^{10}}{e} + 3 \, a c^{2} d^{8} e + 3 \, a^{2} c d^{6} e^{3} + a^{3} d^{4} e^{5}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d^{2}}{16 \, {\left(c^{3} d^{6} e^{3} + 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} + a^{3} e^{9}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d x}{16 \, {\left(c^{3} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} a c^{4} d x}{32 \, {\left(c^{3} d^{6} e^{2} + 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)}} + \frac{15 \, a c^{4} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{5}{2}} d^{4} e^{4} + 2 \, a c^{\frac{3}{2}} d^{2} e^{6} + a^{2} \sqrt{c} e^{8}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2} d}{8 \, {\left(c^{3} d^{6} e^{2} x^{3} + 3 \, a c^{2} d^{4} e^{4} x^{3} + 3 \, a^{2} c d^{2} e^{6} x^{3} + a^{3} e^{8} x^{3} + 3 \, c^{3} d^{7} e x^{2} + 9 \, a c^{2} d^{5} e^{3} x^{2} + 9 \, a^{2} c d^{3} e^{5} x^{2} + 3 \, a^{3} d e^{7} x^{2} + 3 \, c^{3} d^{8} x + 9 \, a c^{2} d^{6} e^{2} x + 9 \, a^{2} c d^{4} e^{4} x + 3 \, a^{3} d^{2} e^{6} x + \frac{c^{3} d^{9}}{e} + 3 \, a c^{2} d^{7} e + 3 \, a^{2} c d^{5} e^{3} + a^{3} d^{3} e^{5}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{3} d}{16 \, {\left(c^{3} d^{6} e^{2} x + 3 \, a c^{2} d^{4} e^{4} x + 3 \, a^{2} c d^{2} e^{6} x + a^{3} e^{8} x + c^{3} d^{7} e + 3 \, a c^{2} d^{5} e^{3} + 3 \, a^{2} c d^{3} e^{5} + a^{3} d e^{7}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{4} d^{2}}{16 \, {\left(c^{2} d^{4} e^{5} + 2 \, a c d^{2} e^{7} + a^{2} e^{9}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c^{4} d x}{32 \, {\left(c^{2} d^{4} e^{4} + 2 \, a c d^{2} e^{6} + a^{2} e^{8}\right)}} - \frac{15 \, c^{4} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{3}{2}} d^{2} e^{6} + a \sqrt{c} e^{8}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2}}{16 \, {\left(c^{3} d^{6} e x^{2} + 3 \, a c^{2} d^{4} e^{3} x^{2} + 3 \, a^{2} c d^{2} e^{5} x^{2} + a^{3} e^{7} x^{2} + 2 \, c^{3} d^{7} x + 6 \, a c^{2} d^{5} e^{2} x + 6 \, a^{2} c d^{3} e^{4} x + 2 \, a^{3} d e^{6} x + \frac{c^{3} d^{8}}{e} + 3 \, a c^{2} d^{6} e + 3 \, a^{2} c d^{4} e^{3} + a^{3} d^{2} e^{5}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{3}}{16 \, {\left(c^{3} d^{6} e + 3 \, a c^{2} d^{4} e^{3} + 3 \, a^{2} c d^{2} e^{5} + a^{3} e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c d}{6 \, {\left(c^{2} d^{4} e^{4} x^{5} + 2 \, a c d^{2} e^{6} x^{5} + a^{2} e^{8} x^{5} + 5 \, c^{2} d^{5} e^{3} x^{4} + 10 \, a c d^{3} e^{5} x^{4} + 5 \, a^{2} d e^{7} x^{4} + 10 \, c^{2} d^{6} e^{2} x^{3} + 20 \, a c d^{4} e^{4} x^{3} + 10 \, a^{2} d^{2} e^{6} x^{3} + 10 \, c^{2} d^{7} e x^{2} + 20 \, a c d^{5} e^{3} x^{2} + 10 \, a^{2} d^{3} e^{5} x^{2} + 5 \, c^{2} d^{8} x + 10 \, a c d^{6} e^{2} x + 5 \, a^{2} d^{4} e^{4} x + \frac{c^{2} d^{9}}{e} + 2 \, a c d^{7} e + a^{2} d^{5} e^{3}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c}{24 \, {\left(c^{2} d^{4} e^{3} x^{4} + 2 \, a c d^{2} e^{5} x^{4} + a^{2} e^{7} x^{4} + 4 \, c^{2} d^{5} e^{2} x^{3} + 8 \, a c d^{3} e^{4} x^{3} + 4 \, a^{2} d e^{6} x^{3} + 6 \, c^{2} d^{6} e x^{2} + 12 \, a c d^{4} e^{3} x^{2} + 6 \, a^{2} d^{2} e^{5} x^{2} + 4 \, c^{2} d^{7} x + 8 \, a c d^{5} e^{2} x + 4 \, a^{2} d^{3} e^{4} x + \frac{c^{2} d^{8}}{e} + 2 \, a c d^{6} e + a^{2} d^{4} e^{3}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3}}{48 \, {\left(c^{2} d^{4} e^{3} + 2 \, a c d^{2} e^{5} + a^{2} e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}}}{6 \, {\left(c d^{2} e^{5} x^{6} + a e^{7} x^{6} + 6 \, c d^{3} e^{4} x^{5} + 6 \, a d e^{6} x^{5} + 15 \, c d^{4} e^{3} x^{4} + 15 \, a d^{2} e^{5} x^{4} + 20 \, c d^{5} e^{2} x^{3} + 20 \, a d^{3} e^{4} x^{3} + 15 \, c d^{6} e x^{2} + 15 \, a d^{4} e^{3} x^{2} + 6 \, c d^{7} x + 6 \, a d^{5} e^{2} x + \frac{c d^{8}}{e} + a d^{6} e\right)}} + \frac{5 \, \sqrt{c x^{2} + a} c^{3}}{16 \, {\left(c d^{2} e^{5} + a e^{7}\right)}} - \frac{5 \, c^{6} d^{6} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{13}} + \frac{15 \, c^{5} d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{11}} - \frac{15 \, c^{4} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{9}} + \frac{5 \, c^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, \sqrt{a + \frac{c d^{2}}{e^{2}}} e^{7}}"," ",0,"-5/32*c^8*d^9*arcsinh(c*x/sqrt(a*c))/(c^(11/2)*d^10*e^6 + 5*a*c^(9/2)*d^8*e^8 + 10*a^2*c^(7/2)*d^6*e^10 + 10*a^3*c^(5/2)*d^4*e^12 + 5*a^4*c^(3/2)*d^2*e^14 + a^5*sqrt(c)*e^16) - 5/32*a*c^7*d^7*arcsinh(c*x/sqrt(a*c))/(c^(11/2)*d^10*e^4 + 5*a*c^(9/2)*d^8*e^6 + 10*a^2*c^(7/2)*d^6*e^8 + 10*a^3*c^(5/2)*d^4*e^10 + 5*a^4*c^(3/2)*d^2*e^12 + a^5*sqrt(c)*e^14) + 5/32*sqrt(c*x^2 + a)*c^7*d^7*x/(c^5*d^10*e^4 + 5*a*c^4*d^8*e^6 + 10*a^2*c^3*d^6*e^8 + 10*a^3*c^2*d^4*e^10 + 5*a^4*c*d^2*e^12 + a^5*e^14) + 15/16*c^7*d^7*arcsinh(c*x/sqrt(a*c))/(c^(9/2)*d^8*e^6 + 4*a*c^(7/2)*d^6*e^8 + 6*a^2*c^(5/2)*d^4*e^10 + 4*a^3*c^(3/2)*d^2*e^12 + a^4*sqrt(c)*e^14) - 5/48*(c*x^2 + a)^(3/2)*c^6*d^6/(c^5*d^10*e^3 + 5*a*c^4*d^8*e^5 + 10*a^2*c^3*d^6*e^7 + 10*a^3*c^2*d^4*e^9 + 5*a^4*c*d^2*e^11 + a^5*e^13) + 5/48*(c*x^2 + a)^(3/2)*c^6*d^5*x/(c^5*d^10*e^2 + 5*a*c^4*d^8*e^4 + 10*a^2*c^3*d^6*e^6 + 10*a^3*c^2*d^4*e^8 + 5*a^4*c*d^2*e^10 + a^5*e^12) + 5/32*sqrt(c*x^2 + a)*a*c^6*d^5*x/(c^5*d^10*e^2 + 5*a*c^4*d^8*e^4 + 10*a^2*c^3*d^6*e^6 + 10*a^3*c^2*d^4*e^8 + 5*a^4*c*d^2*e^10 + a^5*e^12) + 25/32*a*c^6*d^5*arcsinh(c*x/sqrt(a*c))/(c^(9/2)*d^8*e^4 + 4*a*c^(7/2)*d^6*e^6 + 6*a^2*c^(5/2)*d^4*e^8 + 4*a^3*c^(3/2)*d^2*e^10 + a^4*sqrt(c)*e^12) - 1/16*(c*x^2 + a)^(5/2)*c^5*d^5/(c^5*d^10*e^2*x + 5*a*c^4*d^8*e^4*x + 10*a^2*c^3*d^6*e^6*x + 10*a^3*c^2*d^4*e^8*x + 5*a^4*c*d^2*e^10*x + a^5*e^12*x + c^5*d^11*e + 5*a*c^4*d^9*e^3 + 10*a^2*c^3*d^7*e^5 + 10*a^3*c^2*d^5*e^7 + 5*a^4*c*d^3*e^9 + a^5*d*e^11) - 5/16*sqrt(c*x^2 + a)*c^6*d^6/(c^4*d^8*e^5 + 4*a*c^3*d^6*e^7 + 6*a^2*c^2*d^4*e^9 + 4*a^3*c*d^2*e^11 + a^4*e^13) - 15/32*sqrt(c*x^2 + a)*c^6*d^5*x/(c^4*d^8*e^4 + 4*a*c^3*d^6*e^6 + 6*a^2*c^2*d^4*e^8 + 4*a^3*c*d^2*e^10 + a^4*e^12) - 15/8*c^6*d^5*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^6 + 3*a*c^(5/2)*d^4*e^8 + 3*a^2*c^(3/2)*d^2*e^10 + a^3*sqrt(c)*e^12) + 1/48*(c*x^2 + a)^(7/2)*c^4*d^4/(c^5*d^10*e*x^2 + 5*a*c^4*d^8*e^3*x^2 + 10*a^2*c^3*d^6*e^5*x^2 + 10*a^3*c^2*d^4*e^7*x^2 + 5*a^4*c*d^2*e^9*x^2 + a^5*e^11*x^2 + 2*c^5*d^11*x + 10*a*c^4*d^9*e^2*x + 20*a^2*c^3*d^7*e^4*x + 20*a^3*c^2*d^5*e^6*x + 10*a^4*c*d^3*e^8*x + 2*a^5*d*e^10*x + c^5*d^12/e + 5*a*c^4*d^10*e + 10*a^2*c^3*d^8*e^3 + 10*a^3*c^2*d^6*e^5 + 5*a^4*c*d^4*e^7 + a^5*d^2*e^9) - 1/48*(c*x^2 + a)^(5/2)*c^5*d^4/(c^5*d^10*e + 5*a*c^4*d^8*e^3 + 10*a^2*c^3*d^6*e^5 + 10*a^3*c^2*d^4*e^7 + 5*a^4*c*d^2*e^9 + a^5*e^11) + 5/16*(c*x^2 + a)^(3/2)*c^5*d^4/(c^4*d^8*e^3 + 4*a*c^3*d^6*e^5 + 6*a^2*c^2*d^4*e^7 + 4*a^3*c*d^2*e^9 + a^4*e^11) - 5/12*(c*x^2 + a)^(3/2)*c^5*d^3*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) - 5/8*sqrt(c*x^2 + a)*a*c^5*d^3*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) - 35/32*a*c^5*d^3*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^4 + 3*a*c^(5/2)*d^4*e^6 + 3*a^2*c^(3/2)*d^2*e^8 + a^3*sqrt(c)*e^10) - 1/24*(c*x^2 + a)^(7/2)*c^3*d^3/(c^4*d^8*e^2*x^3 + 4*a*c^3*d^6*e^4*x^3 + 6*a^2*c^2*d^4*e^6*x^3 + 4*a^3*c*d^2*e^8*x^3 + a^4*e^10*x^3 + 3*c^4*d^9*e*x^2 + 12*a*c^3*d^7*e^3*x^2 + 18*a^2*c^2*d^5*e^5*x^2 + 12*a^3*c*d^3*e^7*x^2 + 3*a^4*d*e^9*x^2 + 3*c^4*d^10*x + 12*a*c^3*d^8*e^2*x + 18*a^2*c^2*d^6*e^4*x + 12*a^3*c*d^4*e^6*x + 3*a^4*d^2*e^8*x + c^4*d^11/e + 4*a*c^3*d^9*e + 6*a^2*c^2*d^7*e^3 + 4*a^3*c*d^5*e^5 + a^4*d^3*e^7) + 5/24*(c*x^2 + a)^(5/2)*c^4*d^3/(c^4*d^8*e^2*x + 4*a*c^3*d^6*e^4*x + 6*a^2*c^2*d^4*e^6*x + 4*a^3*c*d^2*e^8*x + a^4*e^10*x + c^4*d^9*e + 4*a*c^3*d^7*e^3 + 6*a^2*c^2*d^5*e^5 + 4*a^3*c*d^3*e^7 + a^4*d*e^9) + 15/16*sqrt(c*x^2 + a)*c^5*d^4/(c^3*d^6*e^5 + 3*a*c^2*d^4*e^7 + 3*a^2*c*d^2*e^9 + a^3*e^11) + 15/32*sqrt(c*x^2 + a)*c^5*d^3*x/(c^3*d^6*e^4 + 3*a*c^2*d^4*e^6 + 3*a^2*c*d^2*e^8 + a^3*e^10) + 25/16*c^5*d^3*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^6 + 2*a*c^(3/2)*d^2*e^8 + a^2*sqrt(c)*e^10) - 1/8*(c*x^2 + a)^(7/2)*c^3*d^2/(c^4*d^8*e*x^2 + 4*a*c^3*d^6*e^3*x^2 + 6*a^2*c^2*d^4*e^5*x^2 + 4*a^3*c*d^2*e^7*x^2 + a^4*e^9*x^2 + 2*c^4*d^9*x + 8*a*c^3*d^7*e^2*x + 12*a^2*c^2*d^5*e^4*x + 8*a^3*c*d^3*e^6*x + 2*a^4*d*e^8*x + c^4*d^10/e + 4*a*c^3*d^8*e + 6*a^2*c^2*d^6*e^3 + 4*a^3*c*d^4*e^5 + a^4*d^2*e^7) + 1/8*(c*x^2 + a)^(5/2)*c^4*d^2/(c^4*d^8*e + 4*a*c^3*d^6*e^3 + 6*a^2*c^2*d^4*e^5 + 4*a^3*c*d^2*e^7 + a^4*e^9) - 1/8*(c*x^2 + a)^(7/2)*c^2*d^2/(c^3*d^6*e^3*x^4 + 3*a*c^2*d^4*e^5*x^4 + 3*a^2*c*d^2*e^7*x^4 + a^3*e^9*x^4 + 4*c^3*d^7*e^2*x^3 + 12*a*c^2*d^5*e^4*x^3 + 12*a^2*c*d^3*e^6*x^3 + 4*a^3*d*e^8*x^3 + 6*c^3*d^8*e*x^2 + 18*a*c^2*d^6*e^3*x^2 + 18*a^2*c*d^4*e^5*x^2 + 6*a^3*d^2*e^7*x^2 + 4*c^3*d^9*x + 12*a*c^2*d^7*e^2*x + 12*a^2*c*d^5*e^4*x + 4*a^3*d^3*e^6*x + c^3*d^10/e + 3*a*c^2*d^8*e + 3*a^2*c*d^6*e^3 + a^3*d^4*e^5) - 5/16*(c*x^2 + a)^(3/2)*c^4*d^2/(c^3*d^6*e^3 + 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 + a^3*e^9) + 5/16*(c*x^2 + a)^(3/2)*c^4*d*x/(c^3*d^6*e^2 + 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 + a^3*e^8) + 15/32*sqrt(c*x^2 + a)*a*c^4*d*x/(c^3*d^6*e^2 + 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 + a^3*e^8) + 15/32*a*c^4*d*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^4 + 2*a*c^(3/2)*d^2*e^6 + a^2*sqrt(c)*e^8) - 1/8*(c*x^2 + a)^(7/2)*c^2*d/(c^3*d^6*e^2*x^3 + 3*a*c^2*d^4*e^4*x^3 + 3*a^2*c*d^2*e^6*x^3 + a^3*e^8*x^3 + 3*c^3*d^7*e*x^2 + 9*a*c^2*d^5*e^3*x^2 + 9*a^2*c*d^3*e^5*x^2 + 3*a^3*d*e^7*x^2 + 3*c^3*d^8*x + 9*a*c^2*d^6*e^2*x + 9*a^2*c*d^4*e^4*x + 3*a^3*d^2*e^6*x + c^3*d^9/e + 3*a*c^2*d^7*e + 3*a^2*c*d^5*e^3 + a^3*d^3*e^5) - 5/16*(c*x^2 + a)^(5/2)*c^3*d/(c^3*d^6*e^2*x + 3*a*c^2*d^4*e^4*x + 3*a^2*c*d^2*e^6*x + a^3*e^8*x + c^3*d^7*e + 3*a*c^2*d^5*e^3 + 3*a^2*c*d^3*e^5 + a^3*d*e^7) - 15/16*sqrt(c*x^2 + a)*c^4*d^2/(c^2*d^4*e^5 + 2*a*c*d^2*e^7 + a^2*e^9) - 5/32*sqrt(c*x^2 + a)*c^4*d*x/(c^2*d^4*e^4 + 2*a*c*d^2*e^6 + a^2*e^8) - 15/32*c^4*d*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*d^2*e^6 + a*sqrt(c)*e^8) - 1/16*(c*x^2 + a)^(7/2)*c^2/(c^3*d^6*e*x^2 + 3*a*c^2*d^4*e^3*x^2 + 3*a^2*c*d^2*e^5*x^2 + a^3*e^7*x^2 + 2*c^3*d^7*x + 6*a*c^2*d^5*e^2*x + 6*a^2*c*d^3*e^4*x + 2*a^3*d*e^6*x + c^3*d^8/e + 3*a*c^2*d^6*e + 3*a^2*c*d^4*e^3 + a^3*d^2*e^5) + 1/16*(c*x^2 + a)^(5/2)*c^3/(c^3*d^6*e + 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 + a^3*e^7) - 1/6*(c*x^2 + a)^(7/2)*c*d/(c^2*d^4*e^4*x^5 + 2*a*c*d^2*e^6*x^5 + a^2*e^8*x^5 + 5*c^2*d^5*e^3*x^4 + 10*a*c*d^3*e^5*x^4 + 5*a^2*d*e^7*x^4 + 10*c^2*d^6*e^2*x^3 + 20*a*c*d^4*e^4*x^3 + 10*a^2*d^2*e^6*x^3 + 10*c^2*d^7*e*x^2 + 20*a*c*d^5*e^3*x^2 + 10*a^2*d^3*e^5*x^2 + 5*c^2*d^8*x + 10*a*c*d^6*e^2*x + 5*a^2*d^4*e^4*x + c^2*d^9/e + 2*a*c*d^7*e + a^2*d^5*e^3) - 1/24*(c*x^2 + a)^(7/2)*c/(c^2*d^4*e^3*x^4 + 2*a*c*d^2*e^5*x^4 + a^2*e^7*x^4 + 4*c^2*d^5*e^2*x^3 + 8*a*c*d^3*e^4*x^3 + 4*a^2*d*e^6*x^3 + 6*c^2*d^6*e*x^2 + 12*a*c*d^4*e^3*x^2 + 6*a^2*d^2*e^5*x^2 + 4*c^2*d^7*x + 8*a*c*d^5*e^2*x + 4*a^2*d^3*e^4*x + c^2*d^8/e + 2*a*c*d^6*e + a^2*d^4*e^3) + 5/48*(c*x^2 + a)^(3/2)*c^3/(c^2*d^4*e^3 + 2*a*c*d^2*e^5 + a^2*e^7) - 1/6*(c*x^2 + a)^(7/2)/(c*d^2*e^5*x^6 + a*e^7*x^6 + 6*c*d^3*e^4*x^5 + 6*a*d*e^6*x^5 + 15*c*d^4*e^3*x^4 + 15*a*d^2*e^5*x^4 + 20*c*d^5*e^2*x^3 + 20*a*d^3*e^4*x^3 + 15*c*d^6*e*x^2 + 15*a*d^4*e^3*x^2 + 6*c*d^7*x + 6*a*d^5*e^2*x + c*d^8/e + a*d^6*e) + 5/16*sqrt(c*x^2 + a)*c^3/(c*d^2*e^5 + a*e^7) - 5/16*c^6*d^6*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^13) + 15/16*c^5*d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^11) - 15/16*c^4*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^9) + 5/16*c^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^7)","B",0
556,1,5985,0,6.070786," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{5 \, c^{9} d^{10} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{13}{2}} d^{12} e^{6} + 6 \, a c^{\frac{11}{2}} d^{10} e^{8} + 15 \, a^{2} c^{\frac{9}{2}} d^{8} e^{10} + 20 \, a^{3} c^{\frac{7}{2}} d^{6} e^{12} + 15 \, a^{4} c^{\frac{5}{2}} d^{4} e^{14} + 6 \, a^{5} c^{\frac{3}{2}} d^{2} e^{16} + a^{6} \sqrt{c} e^{18}\right)}} - \frac{5 \, a c^{8} d^{8} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{13}{2}} d^{12} e^{4} + 6 \, a c^{\frac{11}{2}} d^{10} e^{6} + 15 \, a^{2} c^{\frac{9}{2}} d^{8} e^{8} + 20 \, a^{3} c^{\frac{7}{2}} d^{6} e^{10} + 15 \, a^{4} c^{\frac{5}{2}} d^{4} e^{12} + 6 \, a^{5} c^{\frac{3}{2}} d^{2} e^{14} + a^{6} \sqrt{c} e^{16}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} c^{8} d^{8} x}{32 \, {\left(c^{6} d^{12} e^{4} + 6 \, a c^{5} d^{10} e^{6} + 15 \, a^{2} c^{4} d^{8} e^{8} + 20 \, a^{3} c^{3} d^{6} e^{10} + 15 \, a^{4} c^{2} d^{4} e^{12} + 6 \, a^{5} c d^{2} e^{14} + a^{6} e^{16}\right)}} + \frac{15 \, c^{8} d^{8} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{11}{2}} d^{10} e^{6} + 5 \, a c^{\frac{9}{2}} d^{8} e^{8} + 10 \, a^{2} c^{\frac{7}{2}} d^{6} e^{10} + 10 \, a^{3} c^{\frac{5}{2}} d^{4} e^{12} + 5 \, a^{4} c^{\frac{3}{2}} d^{2} e^{14} + a^{5} \sqrt{c} e^{16}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{7} d^{7}}{48 \, {\left(c^{6} d^{12} e^{3} + 6 \, a c^{5} d^{10} e^{5} + 15 \, a^{2} c^{4} d^{8} e^{7} + 20 \, a^{3} c^{3} d^{6} e^{9} + 15 \, a^{4} c^{2} d^{4} e^{11} + 6 \, a^{5} c d^{2} e^{13} + a^{6} e^{15}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{7} d^{6} x}{48 \, {\left(c^{6} d^{12} e^{2} + 6 \, a c^{5} d^{10} e^{4} + 15 \, a^{2} c^{4} d^{8} e^{6} + 20 \, a^{3} c^{3} d^{6} e^{8} + 15 \, a^{4} c^{2} d^{4} e^{10} + 6 \, a^{5} c d^{2} e^{12} + a^{6} e^{14}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} a c^{7} d^{6} x}{32 \, {\left(c^{6} d^{12} e^{2} + 6 \, a c^{5} d^{10} e^{4} + 15 \, a^{2} c^{4} d^{8} e^{6} + 20 \, a^{3} c^{3} d^{6} e^{8} + 15 \, a^{4} c^{2} d^{4} e^{10} + 6 \, a^{5} c d^{2} e^{12} + a^{6} e^{14}\right)}} + \frac{25 \, a c^{7} d^{6} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{11}{2}} d^{10} e^{4} + 5 \, a c^{\frac{9}{2}} d^{8} e^{6} + 10 \, a^{2} c^{\frac{7}{2}} d^{6} e^{8} + 10 \, a^{3} c^{\frac{5}{2}} d^{4} e^{10} + 5 \, a^{4} c^{\frac{3}{2}} d^{2} e^{12} + a^{5} \sqrt{c} e^{14}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{6} d^{6}}{16 \, {\left(c^{6} d^{12} e^{2} x + 6 \, a c^{5} d^{10} e^{4} x + 15 \, a^{2} c^{4} d^{8} e^{6} x + 20 \, a^{3} c^{3} d^{6} e^{8} x + 15 \, a^{4} c^{2} d^{4} e^{10} x + 6 \, a^{5} c d^{2} e^{12} x + a^{6} e^{14} x + c^{6} d^{13} e + 6 \, a c^{5} d^{11} e^{3} + 15 \, a^{2} c^{4} d^{9} e^{5} + 20 \, a^{3} c^{3} d^{7} e^{7} + 15 \, a^{4} c^{2} d^{5} e^{9} + 6 \, a^{5} c d^{3} e^{11} + a^{6} d e^{13}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c^{7} d^{7}}{16 \, {\left(c^{5} d^{10} e^{5} + 5 \, a c^{4} d^{8} e^{7} + 10 \, a^{2} c^{3} d^{6} e^{9} + 10 \, a^{3} c^{2} d^{4} e^{11} + 5 \, a^{4} c d^{2} e^{13} + a^{5} e^{15}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{7} d^{6} x}{32 \, {\left(c^{5} d^{10} e^{4} + 5 \, a c^{4} d^{8} e^{6} + 10 \, a^{2} c^{3} d^{6} e^{8} + 10 \, a^{3} c^{2} d^{4} e^{10} + 5 \, a^{4} c d^{2} e^{12} + a^{5} e^{14}\right)}} - \frac{15 \, c^{7} d^{6} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, {\left(c^{\frac{9}{2}} d^{8} e^{6} + 4 \, a c^{\frac{7}{2}} d^{6} e^{8} + 6 \, a^{2} c^{\frac{5}{2}} d^{4} e^{10} + 4 \, a^{3} c^{\frac{3}{2}} d^{2} e^{12} + a^{4} \sqrt{c} e^{14}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{5} d^{5}}{48 \, {\left(c^{6} d^{12} e x^{2} + 6 \, a c^{5} d^{10} e^{3} x^{2} + 15 \, a^{2} c^{4} d^{8} e^{5} x^{2} + 20 \, a^{3} c^{3} d^{6} e^{7} x^{2} + 15 \, a^{4} c^{2} d^{4} e^{9} x^{2} + 6 \, a^{5} c d^{2} e^{11} x^{2} + a^{6} e^{13} x^{2} + 2 \, c^{6} d^{13} x + 12 \, a c^{5} d^{11} e^{2} x + 30 \, a^{2} c^{4} d^{9} e^{4} x + 40 \, a^{3} c^{3} d^{7} e^{6} x + 30 \, a^{4} c^{2} d^{5} e^{8} x + 12 \, a^{5} c d^{3} e^{10} x + 2 \, a^{6} d e^{12} x + \frac{c^{6} d^{14}}{e} + 6 \, a c^{5} d^{12} e + 15 \, a^{2} c^{4} d^{10} e^{3} + 20 \, a^{3} c^{3} d^{8} e^{5} + 15 \, a^{4} c^{2} d^{6} e^{7} + 6 \, a^{5} c d^{4} e^{9} + a^{6} d^{2} e^{11}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{6} d^{5}}{48 \, {\left(c^{6} d^{12} e + 6 \, a c^{5} d^{10} e^{3} + 15 \, a^{2} c^{4} d^{8} e^{5} + 20 \, a^{3} c^{3} d^{6} e^{7} + 15 \, a^{4} c^{2} d^{4} e^{9} + 6 \, a^{5} c d^{2} e^{11} + a^{6} e^{13}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{6} d^{5}}{16 \, {\left(c^{5} d^{10} e^{3} + 5 \, a c^{4} d^{8} e^{5} + 10 \, a^{2} c^{3} d^{6} e^{7} + 10 \, a^{3} c^{2} d^{4} e^{9} + 5 \, a^{4} c d^{2} e^{11} + a^{5} e^{13}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{6} d^{4} x}{12 \, {\left(c^{5} d^{10} e^{2} + 5 \, a c^{4} d^{8} e^{4} + 10 \, a^{2} c^{3} d^{6} e^{6} + 10 \, a^{3} c^{2} d^{4} e^{8} + 5 \, a^{4} c d^{2} e^{10} + a^{5} e^{12}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} a c^{6} d^{4} x}{8 \, {\left(c^{5} d^{10} e^{2} + 5 \, a c^{4} d^{8} e^{4} + 10 \, a^{2} c^{3} d^{6} e^{6} + 10 \, a^{3} c^{2} d^{4} e^{8} + 5 \, a^{4} c d^{2} e^{10} + a^{5} e^{12}\right)}} - \frac{35 \, a c^{6} d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{9}{2}} d^{8} e^{4} + 4 \, a c^{\frac{7}{2}} d^{6} e^{6} + 6 \, a^{2} c^{\frac{5}{2}} d^{4} e^{8} + 4 \, a^{3} c^{\frac{3}{2}} d^{2} e^{10} + a^{4} \sqrt{c} e^{12}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{4} d^{4}}{24 \, {\left(c^{5} d^{10} e^{2} x^{3} + 5 \, a c^{4} d^{8} e^{4} x^{3} + 10 \, a^{2} c^{3} d^{6} e^{6} x^{3} + 10 \, a^{3} c^{2} d^{4} e^{8} x^{3} + 5 \, a^{4} c d^{2} e^{10} x^{3} + a^{5} e^{12} x^{3} + 3 \, c^{5} d^{11} e x^{2} + 15 \, a c^{4} d^{9} e^{3} x^{2} + 30 \, a^{2} c^{3} d^{7} e^{5} x^{2} + 30 \, a^{3} c^{2} d^{5} e^{7} x^{2} + 15 \, a^{4} c d^{3} e^{9} x^{2} + 3 \, a^{5} d e^{11} x^{2} + 3 \, c^{5} d^{12} x + 15 \, a c^{4} d^{10} e^{2} x + 30 \, a^{2} c^{3} d^{8} e^{4} x + 30 \, a^{3} c^{2} d^{6} e^{6} x + 15 \, a^{4} c d^{4} e^{8} x + 3 \, a^{5} d^{2} e^{10} x + \frac{c^{5} d^{13}}{e} + 5 \, a c^{4} d^{11} e + 10 \, a^{2} c^{3} d^{9} e^{3} + 10 \, a^{3} c^{2} d^{7} e^{5} + 5 \, a^{4} c d^{5} e^{7} + a^{5} d^{3} e^{9}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{5} d^{4}}{24 \, {\left(c^{5} d^{10} e^{2} x + 5 \, a c^{4} d^{8} e^{4} x + 10 \, a^{2} c^{3} d^{6} e^{6} x + 10 \, a^{3} c^{2} d^{4} e^{8} x + 5 \, a^{4} c d^{2} e^{10} x + a^{5} e^{12} x + c^{5} d^{11} e + 5 \, a c^{4} d^{9} e^{3} + 10 \, a^{2} c^{3} d^{7} e^{5} + 10 \, a^{3} c^{2} d^{5} e^{7} + 5 \, a^{4} c d^{3} e^{9} + a^{5} d e^{11}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} c^{6} d^{5}}{16 \, {\left(c^{4} d^{8} e^{5} + 4 \, a c^{3} d^{6} e^{7} + 6 \, a^{2} c^{2} d^{4} e^{9} + 4 \, a^{3} c d^{2} e^{11} + a^{4} e^{13}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} c^{6} d^{4} x}{32 \, {\left(c^{4} d^{8} e^{4} + 4 \, a c^{3} d^{6} e^{6} + 6 \, a^{2} c^{2} d^{4} e^{8} + 4 \, a^{3} c d^{2} e^{10} + a^{4} e^{12}\right)}} + \frac{25 \, c^{6} d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, {\left(c^{\frac{7}{2}} d^{6} e^{6} + 3 \, a c^{\frac{5}{2}} d^{4} e^{8} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{10} + a^{3} \sqrt{c} e^{12}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{4} d^{3}}{8 \, {\left(c^{5} d^{10} e x^{2} + 5 \, a c^{4} d^{8} e^{3} x^{2} + 10 \, a^{2} c^{3} d^{6} e^{5} x^{2} + 10 \, a^{3} c^{2} d^{4} e^{7} x^{2} + 5 \, a^{4} c d^{2} e^{9} x^{2} + a^{5} e^{11} x^{2} + 2 \, c^{5} d^{11} x + 10 \, a c^{4} d^{9} e^{2} x + 20 \, a^{2} c^{3} d^{7} e^{4} x + 20 \, a^{3} c^{2} d^{5} e^{6} x + 10 \, a^{4} c d^{3} e^{8} x + 2 \, a^{5} d e^{10} x + \frac{c^{5} d^{12}}{e} + 5 \, a c^{4} d^{10} e + 10 \, a^{2} c^{3} d^{8} e^{3} + 10 \, a^{3} c^{2} d^{6} e^{5} + 5 \, a^{4} c d^{4} e^{7} + a^{5} d^{2} e^{9}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{5} d^{3}}{8 \, {\left(c^{5} d^{10} e + 5 \, a c^{4} d^{8} e^{3} + 10 \, a^{2} c^{3} d^{6} e^{5} + 10 \, a^{3} c^{2} d^{4} e^{7} + 5 \, a^{4} c d^{2} e^{9} + a^{5} e^{11}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3} d^{3}}{8 \, {\left(c^{4} d^{8} e^{3} x^{4} + 4 \, a c^{3} d^{6} e^{5} x^{4} + 6 \, a^{2} c^{2} d^{4} e^{7} x^{4} + 4 \, a^{3} c d^{2} e^{9} x^{4} + a^{4} e^{11} x^{4} + 4 \, c^{4} d^{9} e^{2} x^{3} + 16 \, a c^{3} d^{7} e^{4} x^{3} + 24 \, a^{2} c^{2} d^{5} e^{6} x^{3} + 16 \, a^{3} c d^{3} e^{8} x^{3} + 4 \, a^{4} d e^{10} x^{3} + 6 \, c^{4} d^{10} e x^{2} + 24 \, a c^{3} d^{8} e^{3} x^{2} + 36 \, a^{2} c^{2} d^{6} e^{5} x^{2} + 24 \, a^{3} c d^{4} e^{7} x^{2} + 6 \, a^{4} d^{2} e^{9} x^{2} + 4 \, c^{4} d^{11} x + 16 \, a c^{3} d^{9} e^{2} x + 24 \, a^{2} c^{2} d^{7} e^{4} x + 16 \, a^{3} c d^{5} e^{6} x + 4 \, a^{4} d^{3} e^{8} x + \frac{c^{4} d^{12}}{e} + 4 \, a c^{3} d^{10} e + 6 \, a^{2} c^{2} d^{8} e^{3} + 4 \, a^{3} c d^{6} e^{5} + a^{4} d^{4} e^{7}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d^{3}}{16 \, {\left(c^{4} d^{8} e^{3} + 4 \, a c^{3} d^{6} e^{5} + 6 \, a^{2} c^{2} d^{4} e^{7} + 4 \, a^{3} c d^{2} e^{9} + a^{4} e^{11}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d^{2} x}{16 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} a c^{5} d^{2} x}{32 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} + \frac{15 \, a c^{5} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{7}{2}} d^{6} e^{4} + 3 \, a c^{\frac{5}{2}} d^{4} e^{6} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{8} + a^{3} \sqrt{c} e^{10}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3} d^{2}}{8 \, {\left(c^{4} d^{8} e^{2} x^{3} + 4 \, a c^{3} d^{6} e^{4} x^{3} + 6 \, a^{2} c^{2} d^{4} e^{6} x^{3} + 4 \, a^{3} c d^{2} e^{8} x^{3} + a^{4} e^{10} x^{3} + 3 \, c^{4} d^{9} e x^{2} + 12 \, a c^{3} d^{7} e^{3} x^{2} + 18 \, a^{2} c^{2} d^{5} e^{5} x^{2} + 12 \, a^{3} c d^{3} e^{7} x^{2} + 3 \, a^{4} d e^{9} x^{2} + 3 \, c^{4} d^{10} x + 12 \, a c^{3} d^{8} e^{2} x + 18 \, a^{2} c^{2} d^{6} e^{4} x + 12 \, a^{3} c d^{4} e^{6} x + 3 \, a^{4} d^{2} e^{8} x + \frac{c^{4} d^{11}}{e} + 4 \, a c^{3} d^{9} e + 6 \, a^{2} c^{2} d^{7} e^{3} + 4 \, a^{3} c d^{5} e^{5} + a^{4} d^{3} e^{7}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{4} d^{2}}{16 \, {\left(c^{4} d^{8} e^{2} x + 4 \, a c^{3} d^{6} e^{4} x + 6 \, a^{2} c^{2} d^{4} e^{6} x + 4 \, a^{3} c d^{2} e^{8} x + a^{4} e^{10} x + c^{4} d^{9} e + 4 \, a c^{3} d^{7} e^{3} + 6 \, a^{2} c^{2} d^{5} e^{5} + 4 \, a^{3} c d^{3} e^{7} + a^{4} d e^{9}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{5} d^{3}}{16 \, {\left(c^{3} d^{6} e^{5} + 3 \, a c^{2} d^{4} e^{7} + 3 \, a^{2} c d^{2} e^{9} + a^{3} e^{11}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c^{5} d^{2} x}{32 \, {\left(c^{3} d^{6} e^{4} + 3 \, a c^{2} d^{4} e^{6} + 3 \, a^{2} c d^{2} e^{8} + a^{3} e^{10}\right)}} - \frac{15 \, c^{5} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{32 \, {\left(c^{\frac{5}{2}} d^{4} e^{6} + 2 \, a c^{\frac{3}{2}} d^{2} e^{8} + a^{2} \sqrt{c} e^{10}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3} d}{16 \, {\left(c^{4} d^{8} e x^{2} + 4 \, a c^{3} d^{6} e^{3} x^{2} + 6 \, a^{2} c^{2} d^{4} e^{5} x^{2} + 4 \, a^{3} c d^{2} e^{7} x^{2} + a^{4} e^{9} x^{2} + 2 \, c^{4} d^{9} x + 8 \, a c^{3} d^{7} e^{2} x + 12 \, a^{2} c^{2} d^{5} e^{4} x + 8 \, a^{3} c d^{3} e^{6} x + 2 \, a^{4} d e^{8} x + \frac{c^{4} d^{10}}{e} + 4 \, a c^{3} d^{8} e + 6 \, a^{2} c^{2} d^{6} e^{3} + 4 \, a^{3} c d^{4} e^{5} + a^{4} d^{2} e^{7}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{4} d}{16 \, {\left(c^{4} d^{8} e + 4 \, a c^{3} d^{6} e^{3} + 6 \, a^{2} c^{2} d^{4} e^{5} + 4 \, a^{3} c d^{2} e^{7} + a^{4} e^{9}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2} d^{2}}{6 \, {\left(c^{3} d^{6} e^{4} x^{5} + 3 \, a c^{2} d^{4} e^{6} x^{5} + 3 \, a^{2} c d^{2} e^{8} x^{5} + a^{3} e^{10} x^{5} + 5 \, c^{3} d^{7} e^{3} x^{4} + 15 \, a c^{2} d^{5} e^{5} x^{4} + 15 \, a^{2} c d^{3} e^{7} x^{4} + 5 \, a^{3} d e^{9} x^{4} + 10 \, c^{3} d^{8} e^{2} x^{3} + 30 \, a c^{2} d^{6} e^{4} x^{3} + 30 \, a^{2} c d^{4} e^{6} x^{3} + 10 \, a^{3} d^{2} e^{8} x^{3} + 10 \, c^{3} d^{9} e x^{2} + 30 \, a c^{2} d^{7} e^{3} x^{2} + 30 \, a^{2} c d^{5} e^{5} x^{2} + 10 \, a^{3} d^{3} e^{7} x^{2} + 5 \, c^{3} d^{10} x + 15 \, a c^{2} d^{8} e^{2} x + 15 \, a^{2} c d^{6} e^{4} x + 5 \, a^{3} d^{4} e^{6} x + \frac{c^{3} d^{11}}{e} + 3 \, a c^{2} d^{9} e + 3 \, a^{2} c d^{7} e^{3} + a^{3} d^{5} e^{5}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2} d}{24 \, {\left(c^{3} d^{6} e^{3} x^{4} + 3 \, a c^{2} d^{4} e^{5} x^{4} + 3 \, a^{2} c d^{2} e^{7} x^{4} + a^{3} e^{9} x^{4} + 4 \, c^{3} d^{7} e^{2} x^{3} + 12 \, a c^{2} d^{5} e^{4} x^{3} + 12 \, a^{2} c d^{3} e^{6} x^{3} + 4 \, a^{3} d e^{8} x^{3} + 6 \, c^{3} d^{8} e x^{2} + 18 \, a c^{2} d^{6} e^{3} x^{2} + 18 \, a^{2} c d^{4} e^{5} x^{2} + 6 \, a^{3} d^{2} e^{7} x^{2} + 4 \, c^{3} d^{9} x + 12 \, a c^{2} d^{7} e^{2} x + 12 \, a^{2} c d^{5} e^{4} x + 4 \, a^{3} d^{3} e^{6} x + \frac{c^{3} d^{10}}{e} + 3 \, a c^{2} d^{8} e + 3 \, a^{2} c d^{6} e^{3} + a^{3} d^{4} e^{5}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4} d}{48 \, {\left(c^{3} d^{6} e^{3} + 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} + a^{3} e^{9}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c d}{6 \, {\left(c^{2} d^{4} e^{5} x^{6} + 2 \, a c d^{2} e^{7} x^{6} + a^{2} e^{9} x^{6} + 6 \, c^{2} d^{5} e^{4} x^{5} + 12 \, a c d^{3} e^{6} x^{5} + 6 \, a^{2} d e^{8} x^{5} + 15 \, c^{2} d^{6} e^{3} x^{4} + 30 \, a c d^{4} e^{5} x^{4} + 15 \, a^{2} d^{2} e^{7} x^{4} + 20 \, c^{2} d^{7} e^{2} x^{3} + 40 \, a c d^{5} e^{4} x^{3} + 20 \, a^{2} d^{3} e^{6} x^{3} + 15 \, c^{2} d^{8} e x^{2} + 30 \, a c d^{6} e^{3} x^{2} + 15 \, a^{2} d^{4} e^{5} x^{2} + 6 \, c^{2} d^{9} x + 12 \, a c d^{7} e^{2} x + 6 \, a^{2} d^{5} e^{4} x + \frac{c^{2} d^{10}}{e} + 2 \, a c d^{8} e + a^{2} d^{6} e^{3}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} c^{4} d}{16 \, {\left(c^{2} d^{4} e^{5} + 2 \, a c d^{2} e^{7} + a^{2} e^{9}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}}}{7 \, {\left(c d^{2} e^{6} x^{7} + a e^{8} x^{7} + 7 \, c d^{3} e^{5} x^{6} + 7 \, a d e^{7} x^{6} + 21 \, c d^{4} e^{4} x^{5} + 21 \, a d^{2} e^{6} x^{5} + 35 \, c d^{5} e^{3} x^{4} + 35 \, a d^{3} e^{5} x^{4} + 35 \, c d^{6} e^{2} x^{3} + 35 \, a d^{4} e^{4} x^{3} + 21 \, c d^{7} e x^{2} + 21 \, a d^{5} e^{3} x^{2} + 7 \, c d^{8} x + 7 \, a d^{6} e^{2} x + \frac{c d^{9}}{e} + a d^{7} e\right)}} - \frac{5 \, c^{7} d^{7} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{9}{2}} e^{15}} + \frac{15 \, c^{6} d^{5} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{13}} - \frac{15 \, c^{5} d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{11}} + \frac{5 \, c^{4} d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{16 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{9}}"," ",0,"-5/32*c^9*d^10*arcsinh(c*x/sqrt(a*c))/(c^(13/2)*d^12*e^6 + 6*a*c^(11/2)*d^10*e^8 + 15*a^2*c^(9/2)*d^8*e^10 + 20*a^3*c^(7/2)*d^6*e^12 + 15*a^4*c^(5/2)*d^4*e^14 + 6*a^5*c^(3/2)*d^2*e^16 + a^6*sqrt(c)*e^18) - 5/32*a*c^8*d^8*arcsinh(c*x/sqrt(a*c))/(c^(13/2)*d^12*e^4 + 6*a*c^(11/2)*d^10*e^6 + 15*a^2*c^(9/2)*d^8*e^8 + 20*a^3*c^(7/2)*d^6*e^10 + 15*a^4*c^(5/2)*d^4*e^12 + 6*a^5*c^(3/2)*d^2*e^14 + a^6*sqrt(c)*e^16) + 5/32*sqrt(c*x^2 + a)*c^8*d^8*x/(c^6*d^12*e^4 + 6*a*c^5*d^10*e^6 + 15*a^2*c^4*d^8*e^8 + 20*a^3*c^3*d^6*e^10 + 15*a^4*c^2*d^4*e^12 + 6*a^5*c*d^2*e^14 + a^6*e^16) + 15/16*c^8*d^8*arcsinh(c*x/sqrt(a*c))/(c^(11/2)*d^10*e^6 + 5*a*c^(9/2)*d^8*e^8 + 10*a^2*c^(7/2)*d^6*e^10 + 10*a^3*c^(5/2)*d^4*e^12 + 5*a^4*c^(3/2)*d^2*e^14 + a^5*sqrt(c)*e^16) - 5/48*(c*x^2 + a)^(3/2)*c^7*d^7/(c^6*d^12*e^3 + 6*a*c^5*d^10*e^5 + 15*a^2*c^4*d^8*e^7 + 20*a^3*c^3*d^6*e^9 + 15*a^4*c^2*d^4*e^11 + 6*a^5*c*d^2*e^13 + a^6*e^15) + 5/48*(c*x^2 + a)^(3/2)*c^7*d^6*x/(c^6*d^12*e^2 + 6*a*c^5*d^10*e^4 + 15*a^2*c^4*d^8*e^6 + 20*a^3*c^3*d^6*e^8 + 15*a^4*c^2*d^4*e^10 + 6*a^5*c*d^2*e^12 + a^6*e^14) + 5/32*sqrt(c*x^2 + a)*a*c^7*d^6*x/(c^6*d^12*e^2 + 6*a*c^5*d^10*e^4 + 15*a^2*c^4*d^8*e^6 + 20*a^3*c^3*d^6*e^8 + 15*a^4*c^2*d^4*e^10 + 6*a^5*c*d^2*e^12 + a^6*e^14) + 25/32*a*c^7*d^6*arcsinh(c*x/sqrt(a*c))/(c^(11/2)*d^10*e^4 + 5*a*c^(9/2)*d^8*e^6 + 10*a^2*c^(7/2)*d^6*e^8 + 10*a^3*c^(5/2)*d^4*e^10 + 5*a^4*c^(3/2)*d^2*e^12 + a^5*sqrt(c)*e^14) - 1/16*(c*x^2 + a)^(5/2)*c^6*d^6/(c^6*d^12*e^2*x + 6*a*c^5*d^10*e^4*x + 15*a^2*c^4*d^8*e^6*x + 20*a^3*c^3*d^6*e^8*x + 15*a^4*c^2*d^4*e^10*x + 6*a^5*c*d^2*e^12*x + a^6*e^14*x + c^6*d^13*e + 6*a*c^5*d^11*e^3 + 15*a^2*c^4*d^9*e^5 + 20*a^3*c^3*d^7*e^7 + 15*a^4*c^2*d^5*e^9 + 6*a^5*c*d^3*e^11 + a^6*d*e^13) - 5/16*sqrt(c*x^2 + a)*c^7*d^7/(c^5*d^10*e^5 + 5*a*c^4*d^8*e^7 + 10*a^2*c^3*d^6*e^9 + 10*a^3*c^2*d^4*e^11 + 5*a^4*c*d^2*e^13 + a^5*e^15) - 15/32*sqrt(c*x^2 + a)*c^7*d^6*x/(c^5*d^10*e^4 + 5*a*c^4*d^8*e^6 + 10*a^2*c^3*d^6*e^8 + 10*a^3*c^2*d^4*e^10 + 5*a^4*c*d^2*e^12 + a^5*e^14) - 15/8*c^7*d^6*arcsinh(c*x/sqrt(a*c))/(c^(9/2)*d^8*e^6 + 4*a*c^(7/2)*d^6*e^8 + 6*a^2*c^(5/2)*d^4*e^10 + 4*a^3*c^(3/2)*d^2*e^12 + a^4*sqrt(c)*e^14) + 1/48*(c*x^2 + a)^(7/2)*c^5*d^5/(c^6*d^12*e*x^2 + 6*a*c^5*d^10*e^3*x^2 + 15*a^2*c^4*d^8*e^5*x^2 + 20*a^3*c^3*d^6*e^7*x^2 + 15*a^4*c^2*d^4*e^9*x^2 + 6*a^5*c*d^2*e^11*x^2 + a^6*e^13*x^2 + 2*c^6*d^13*x + 12*a*c^5*d^11*e^2*x + 30*a^2*c^4*d^9*e^4*x + 40*a^3*c^3*d^7*e^6*x + 30*a^4*c^2*d^5*e^8*x + 12*a^5*c*d^3*e^10*x + 2*a^6*d*e^12*x + c^6*d^14/e + 6*a*c^5*d^12*e + 15*a^2*c^4*d^10*e^3 + 20*a^3*c^3*d^8*e^5 + 15*a^4*c^2*d^6*e^7 + 6*a^5*c*d^4*e^9 + a^6*d^2*e^11) - 1/48*(c*x^2 + a)^(5/2)*c^6*d^5/(c^6*d^12*e + 6*a*c^5*d^10*e^3 + 15*a^2*c^4*d^8*e^5 + 20*a^3*c^3*d^6*e^7 + 15*a^4*c^2*d^4*e^9 + 6*a^5*c*d^2*e^11 + a^6*e^13) + 5/16*(c*x^2 + a)^(3/2)*c^6*d^5/(c^5*d^10*e^3 + 5*a*c^4*d^8*e^5 + 10*a^2*c^3*d^6*e^7 + 10*a^3*c^2*d^4*e^9 + 5*a^4*c*d^2*e^11 + a^5*e^13) - 5/12*(c*x^2 + a)^(3/2)*c^6*d^4*x/(c^5*d^10*e^2 + 5*a*c^4*d^8*e^4 + 10*a^2*c^3*d^6*e^6 + 10*a^3*c^2*d^4*e^8 + 5*a^4*c*d^2*e^10 + a^5*e^12) - 5/8*sqrt(c*x^2 + a)*a*c^6*d^4*x/(c^5*d^10*e^2 + 5*a*c^4*d^8*e^4 + 10*a^2*c^3*d^6*e^6 + 10*a^3*c^2*d^4*e^8 + 5*a^4*c*d^2*e^10 + a^5*e^12) - 35/32*a*c^6*d^4*arcsinh(c*x/sqrt(a*c))/(c^(9/2)*d^8*e^4 + 4*a*c^(7/2)*d^6*e^6 + 6*a^2*c^(5/2)*d^4*e^8 + 4*a^3*c^(3/2)*d^2*e^10 + a^4*sqrt(c)*e^12) - 1/24*(c*x^2 + a)^(7/2)*c^4*d^4/(c^5*d^10*e^2*x^3 + 5*a*c^4*d^8*e^4*x^3 + 10*a^2*c^3*d^6*e^6*x^3 + 10*a^3*c^2*d^4*e^8*x^3 + 5*a^4*c*d^2*e^10*x^3 + a^5*e^12*x^3 + 3*c^5*d^11*e*x^2 + 15*a*c^4*d^9*e^3*x^2 + 30*a^2*c^3*d^7*e^5*x^2 + 30*a^3*c^2*d^5*e^7*x^2 + 15*a^4*c*d^3*e^9*x^2 + 3*a^5*d*e^11*x^2 + 3*c^5*d^12*x + 15*a*c^4*d^10*e^2*x + 30*a^2*c^3*d^8*e^4*x + 30*a^3*c^2*d^6*e^6*x + 15*a^4*c*d^4*e^8*x + 3*a^5*d^2*e^10*x + c^5*d^13/e + 5*a*c^4*d^11*e + 10*a^2*c^3*d^9*e^3 + 10*a^3*c^2*d^7*e^5 + 5*a^4*c*d^5*e^7 + a^5*d^3*e^9) + 5/24*(c*x^2 + a)^(5/2)*c^5*d^4/(c^5*d^10*e^2*x + 5*a*c^4*d^8*e^4*x + 10*a^2*c^3*d^6*e^6*x + 10*a^3*c^2*d^4*e^8*x + 5*a^4*c*d^2*e^10*x + a^5*e^12*x + c^5*d^11*e + 5*a*c^4*d^9*e^3 + 10*a^2*c^3*d^7*e^5 + 10*a^3*c^2*d^5*e^7 + 5*a^4*c*d^3*e^9 + a^5*d*e^11) + 15/16*sqrt(c*x^2 + a)*c^6*d^5/(c^4*d^8*e^5 + 4*a*c^3*d^6*e^7 + 6*a^2*c^2*d^4*e^9 + 4*a^3*c*d^2*e^11 + a^4*e^13) + 15/32*sqrt(c*x^2 + a)*c^6*d^4*x/(c^4*d^8*e^4 + 4*a*c^3*d^6*e^6 + 6*a^2*c^2*d^4*e^8 + 4*a^3*c*d^2*e^10 + a^4*e^12) + 25/16*c^6*d^4*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^6 + 3*a*c^(5/2)*d^4*e^8 + 3*a^2*c^(3/2)*d^2*e^10 + a^3*sqrt(c)*e^12) - 1/8*(c*x^2 + a)^(7/2)*c^4*d^3/(c^5*d^10*e*x^2 + 5*a*c^4*d^8*e^3*x^2 + 10*a^2*c^3*d^6*e^5*x^2 + 10*a^3*c^2*d^4*e^7*x^2 + 5*a^4*c*d^2*e^9*x^2 + a^5*e^11*x^2 + 2*c^5*d^11*x + 10*a*c^4*d^9*e^2*x + 20*a^2*c^3*d^7*e^4*x + 20*a^3*c^2*d^5*e^6*x + 10*a^4*c*d^3*e^8*x + 2*a^5*d*e^10*x + c^5*d^12/e + 5*a*c^4*d^10*e + 10*a^2*c^3*d^8*e^3 + 10*a^3*c^2*d^6*e^5 + 5*a^4*c*d^4*e^7 + a^5*d^2*e^9) + 1/8*(c*x^2 + a)^(5/2)*c^5*d^3/(c^5*d^10*e + 5*a*c^4*d^8*e^3 + 10*a^2*c^3*d^6*e^5 + 10*a^3*c^2*d^4*e^7 + 5*a^4*c*d^2*e^9 + a^5*e^11) - 1/8*(c*x^2 + a)^(7/2)*c^3*d^3/(c^4*d^8*e^3*x^4 + 4*a*c^3*d^6*e^5*x^4 + 6*a^2*c^2*d^4*e^7*x^4 + 4*a^3*c*d^2*e^9*x^4 + a^4*e^11*x^4 + 4*c^4*d^9*e^2*x^3 + 16*a*c^3*d^7*e^4*x^3 + 24*a^2*c^2*d^5*e^6*x^3 + 16*a^3*c*d^3*e^8*x^3 + 4*a^4*d*e^10*x^3 + 6*c^4*d^10*e*x^2 + 24*a*c^3*d^8*e^3*x^2 + 36*a^2*c^2*d^6*e^5*x^2 + 24*a^3*c*d^4*e^7*x^2 + 6*a^4*d^2*e^9*x^2 + 4*c^4*d^11*x + 16*a*c^3*d^9*e^2*x + 24*a^2*c^2*d^7*e^4*x + 16*a^3*c*d^5*e^6*x + 4*a^4*d^3*e^8*x + c^4*d^12/e + 4*a*c^3*d^10*e + 6*a^2*c^2*d^8*e^3 + 4*a^3*c*d^6*e^5 + a^4*d^4*e^7) - 5/16*(c*x^2 + a)^(3/2)*c^5*d^3/(c^4*d^8*e^3 + 4*a*c^3*d^6*e^5 + 6*a^2*c^2*d^4*e^7 + 4*a^3*c*d^2*e^9 + a^4*e^11) + 5/16*(c*x^2 + a)^(3/2)*c^5*d^2*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) + 15/32*sqrt(c*x^2 + a)*a*c^5*d^2*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) + 15/32*a*c^5*d^2*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^4 + 3*a*c^(5/2)*d^4*e^6 + 3*a^2*c^(3/2)*d^2*e^8 + a^3*sqrt(c)*e^10) - 1/8*(c*x^2 + a)^(7/2)*c^3*d^2/(c^4*d^8*e^2*x^3 + 4*a*c^3*d^6*e^4*x^3 + 6*a^2*c^2*d^4*e^6*x^3 + 4*a^3*c*d^2*e^8*x^3 + a^4*e^10*x^3 + 3*c^4*d^9*e*x^2 + 12*a*c^3*d^7*e^3*x^2 + 18*a^2*c^2*d^5*e^5*x^2 + 12*a^3*c*d^3*e^7*x^2 + 3*a^4*d*e^9*x^2 + 3*c^4*d^10*x + 12*a*c^3*d^8*e^2*x + 18*a^2*c^2*d^6*e^4*x + 12*a^3*c*d^4*e^6*x + 3*a^4*d^2*e^8*x + c^4*d^11/e + 4*a*c^3*d^9*e + 6*a^2*c^2*d^7*e^3 + 4*a^3*c*d^5*e^5 + a^4*d^3*e^7) - 5/16*(c*x^2 + a)^(5/2)*c^4*d^2/(c^4*d^8*e^2*x + 4*a*c^3*d^6*e^4*x + 6*a^2*c^2*d^4*e^6*x + 4*a^3*c*d^2*e^8*x + a^4*e^10*x + c^4*d^9*e + 4*a*c^3*d^7*e^3 + 6*a^2*c^2*d^5*e^5 + 4*a^3*c*d^3*e^7 + a^4*d*e^9) - 15/16*sqrt(c*x^2 + a)*c^5*d^3/(c^3*d^6*e^5 + 3*a*c^2*d^4*e^7 + 3*a^2*c*d^2*e^9 + a^3*e^11) - 5/32*sqrt(c*x^2 + a)*c^5*d^2*x/(c^3*d^6*e^4 + 3*a*c^2*d^4*e^6 + 3*a^2*c*d^2*e^8 + a^3*e^10) - 15/32*c^5*d^2*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^6 + 2*a*c^(3/2)*d^2*e^8 + a^2*sqrt(c)*e^10) - 1/16*(c*x^2 + a)^(7/2)*c^3*d/(c^4*d^8*e*x^2 + 4*a*c^3*d^6*e^3*x^2 + 6*a^2*c^2*d^4*e^5*x^2 + 4*a^3*c*d^2*e^7*x^2 + a^4*e^9*x^2 + 2*c^4*d^9*x + 8*a*c^3*d^7*e^2*x + 12*a^2*c^2*d^5*e^4*x + 8*a^3*c*d^3*e^6*x + 2*a^4*d*e^8*x + c^4*d^10/e + 4*a*c^3*d^8*e + 6*a^2*c^2*d^6*e^3 + 4*a^3*c*d^4*e^5 + a^4*d^2*e^7) + 1/16*(c*x^2 + a)^(5/2)*c^4*d/(c^4*d^8*e + 4*a*c^3*d^6*e^3 + 6*a^2*c^2*d^4*e^5 + 4*a^3*c*d^2*e^7 + a^4*e^9) - 1/6*(c*x^2 + a)^(7/2)*c^2*d^2/(c^3*d^6*e^4*x^5 + 3*a*c^2*d^4*e^6*x^5 + 3*a^2*c*d^2*e^8*x^5 + a^3*e^10*x^5 + 5*c^3*d^7*e^3*x^4 + 15*a*c^2*d^5*e^5*x^4 + 15*a^2*c*d^3*e^7*x^4 + 5*a^3*d*e^9*x^4 + 10*c^3*d^8*e^2*x^3 + 30*a*c^2*d^6*e^4*x^3 + 30*a^2*c*d^4*e^6*x^3 + 10*a^3*d^2*e^8*x^3 + 10*c^3*d^9*e*x^2 + 30*a*c^2*d^7*e^3*x^2 + 30*a^2*c*d^5*e^5*x^2 + 10*a^3*d^3*e^7*x^2 + 5*c^3*d^10*x + 15*a*c^2*d^8*e^2*x + 15*a^2*c*d^6*e^4*x + 5*a^3*d^4*e^6*x + c^3*d^11/e + 3*a*c^2*d^9*e + 3*a^2*c*d^7*e^3 + a^3*d^5*e^5) - 1/24*(c*x^2 + a)^(7/2)*c^2*d/(c^3*d^6*e^3*x^4 + 3*a*c^2*d^4*e^5*x^4 + 3*a^2*c*d^2*e^7*x^4 + a^3*e^9*x^4 + 4*c^3*d^7*e^2*x^3 + 12*a*c^2*d^5*e^4*x^3 + 12*a^2*c*d^3*e^6*x^3 + 4*a^3*d*e^8*x^3 + 6*c^3*d^8*e*x^2 + 18*a*c^2*d^6*e^3*x^2 + 18*a^2*c*d^4*e^5*x^2 + 6*a^3*d^2*e^7*x^2 + 4*c^3*d^9*x + 12*a*c^2*d^7*e^2*x + 12*a^2*c*d^5*e^4*x + 4*a^3*d^3*e^6*x + c^3*d^10/e + 3*a*c^2*d^8*e + 3*a^2*c*d^6*e^3 + a^3*d^4*e^5) + 5/48*(c*x^2 + a)^(3/2)*c^4*d/(c^3*d^6*e^3 + 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 + a^3*e^9) - 1/6*(c*x^2 + a)^(7/2)*c*d/(c^2*d^4*e^5*x^6 + 2*a*c*d^2*e^7*x^6 + a^2*e^9*x^6 + 6*c^2*d^5*e^4*x^5 + 12*a*c*d^3*e^6*x^5 + 6*a^2*d*e^8*x^5 + 15*c^2*d^6*e^3*x^4 + 30*a*c*d^4*e^5*x^4 + 15*a^2*d^2*e^7*x^4 + 20*c^2*d^7*e^2*x^3 + 40*a*c*d^5*e^4*x^3 + 20*a^2*d^3*e^6*x^3 + 15*c^2*d^8*e*x^2 + 30*a*c*d^6*e^3*x^2 + 15*a^2*d^4*e^5*x^2 + 6*c^2*d^9*x + 12*a*c*d^7*e^2*x + 6*a^2*d^5*e^4*x + c^2*d^10/e + 2*a*c*d^8*e + a^2*d^6*e^3) + 5/16*sqrt(c*x^2 + a)*c^4*d/(c^2*d^4*e^5 + 2*a*c*d^2*e^7 + a^2*e^9) - 1/7*(c*x^2 + a)^(7/2)/(c*d^2*e^6*x^7 + a*e^8*x^7 + 7*c*d^3*e^5*x^6 + 7*a*d*e^7*x^6 + 21*c*d^4*e^4*x^5 + 21*a*d^2*e^6*x^5 + 35*c*d^5*e^3*x^4 + 35*a*d^3*e^5*x^4 + 35*c*d^6*e^2*x^3 + 35*a*d^4*e^4*x^3 + 21*c*d^7*e*x^2 + 21*a*d^5*e^3*x^2 + 7*c*d^8*x + 7*a*d^6*e^2*x + c*d^9/e + a*d^7*e) - 5/16*c^7*d^7*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(9/2)*e^15) + 15/16*c^6*d^5*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^13) - 15/16*c^5*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^11) + 5/16*c^4*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^9)","B",0
557,1,9514,0,8.531777," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{45 \, c^{10} d^{11} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{256 \, {\left(c^{\frac{15}{2}} d^{14} e^{6} + 7 \, a c^{\frac{13}{2}} d^{12} e^{8} + 21 \, a^{2} c^{\frac{11}{2}} d^{10} e^{10} + 35 \, a^{3} c^{\frac{9}{2}} d^{8} e^{12} + 35 \, a^{4} c^{\frac{7}{2}} d^{6} e^{14} + 21 \, a^{5} c^{\frac{5}{2}} d^{4} e^{16} + 7 \, a^{6} c^{\frac{3}{2}} d^{2} e^{18} + a^{7} \sqrt{c} e^{20}\right)}} - \frac{45 \, a c^{9} d^{9} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{256 \, {\left(c^{\frac{15}{2}} d^{14} e^{4} + 7 \, a c^{\frac{13}{2}} d^{12} e^{6} + 21 \, a^{2} c^{\frac{11}{2}} d^{10} e^{8} + 35 \, a^{3} c^{\frac{9}{2}} d^{8} e^{10} + 35 \, a^{4} c^{\frac{7}{2}} d^{6} e^{12} + 21 \, a^{5} c^{\frac{5}{2}} d^{4} e^{14} + 7 \, a^{6} c^{\frac{3}{2}} d^{2} e^{16} + a^{7} \sqrt{c} e^{18}\right)}} + \frac{45 \, \sqrt{c x^{2} + a} c^{9} d^{9} x}{256 \, {\left(c^{7} d^{14} e^{4} + 7 \, a c^{6} d^{12} e^{6} + 21 \, a^{2} c^{5} d^{10} e^{8} + 35 \, a^{3} c^{4} d^{8} e^{10} + 35 \, a^{4} c^{3} d^{6} e^{12} + 21 \, a^{5} c^{2} d^{4} e^{14} + 7 \, a^{6} c d^{2} e^{16} + a^{7} e^{18}\right)}} + \frac{275 \, c^{9} d^{9} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{256 \, {\left(c^{\frac{13}{2}} d^{12} e^{6} + 6 \, a c^{\frac{11}{2}} d^{10} e^{8} + 15 \, a^{2} c^{\frac{9}{2}} d^{8} e^{10} + 20 \, a^{3} c^{\frac{7}{2}} d^{6} e^{12} + 15 \, a^{4} c^{\frac{5}{2}} d^{4} e^{14} + 6 \, a^{5} c^{\frac{3}{2}} d^{2} e^{16} + a^{6} \sqrt{c} e^{18}\right)}} - \frac{15 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{8} d^{8}}{128 \, {\left(c^{7} d^{14} e^{3} + 7 \, a c^{6} d^{12} e^{5} + 21 \, a^{2} c^{5} d^{10} e^{7} + 35 \, a^{3} c^{4} d^{8} e^{9} + 35 \, a^{4} c^{3} d^{6} e^{11} + 21 \, a^{5} c^{2} d^{4} e^{13} + 7 \, a^{6} c d^{2} e^{15} + a^{7} e^{17}\right)}} + \frac{15 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{8} d^{7} x}{128 \, {\left(c^{7} d^{14} e^{2} + 7 \, a c^{6} d^{12} e^{4} + 21 \, a^{2} c^{5} d^{10} e^{6} + 35 \, a^{3} c^{4} d^{8} e^{8} + 35 \, a^{4} c^{3} d^{6} e^{10} + 21 \, a^{5} c^{2} d^{4} e^{12} + 7 \, a^{6} c d^{2} e^{14} + a^{7} e^{16}\right)}} + \frac{45 \, \sqrt{c x^{2} + a} a c^{8} d^{7} x}{256 \, {\left(c^{7} d^{14} e^{2} + 7 \, a c^{6} d^{12} e^{4} + 21 \, a^{2} c^{5} d^{10} e^{6} + 35 \, a^{3} c^{4} d^{8} e^{8} + 35 \, a^{4} c^{3} d^{6} e^{10} + 21 \, a^{5} c^{2} d^{4} e^{12} + 7 \, a^{6} c d^{2} e^{14} + a^{7} e^{16}\right)}} + \frac{115 \, a c^{8} d^{7} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, {\left(c^{\frac{13}{2}} d^{12} e^{4} + 6 \, a c^{\frac{11}{2}} d^{10} e^{6} + 15 \, a^{2} c^{\frac{9}{2}} d^{8} e^{8} + 20 \, a^{3} c^{\frac{7}{2}} d^{6} e^{10} + 15 \, a^{4} c^{\frac{5}{2}} d^{4} e^{12} + 6 \, a^{5} c^{\frac{3}{2}} d^{2} e^{14} + a^{6} \sqrt{c} e^{16}\right)}} - \frac{9 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{7} d^{7}}{128 \, {\left(c^{7} d^{14} e^{2} x + 7 \, a c^{6} d^{12} e^{4} x + 21 \, a^{2} c^{5} d^{10} e^{6} x + 35 \, a^{3} c^{4} d^{8} e^{8} x + 35 \, a^{4} c^{3} d^{6} e^{10} x + 21 \, a^{5} c^{2} d^{4} e^{12} x + 7 \, a^{6} c d^{2} e^{14} x + a^{7} e^{16} x + c^{7} d^{15} e + 7 \, a c^{6} d^{13} e^{3} + 21 \, a^{2} c^{5} d^{11} e^{5} + 35 \, a^{3} c^{4} d^{9} e^{7} + 35 \, a^{4} c^{3} d^{7} e^{9} + 21 \, a^{5} c^{2} d^{5} e^{11} + 7 \, a^{6} c d^{3} e^{13} + a^{7} d e^{15}\right)}} - \frac{45 \, \sqrt{c x^{2} + a} c^{8} d^{8}}{128 \, {\left(c^{6} d^{12} e^{5} + 6 \, a c^{5} d^{10} e^{7} + 15 \, a^{2} c^{4} d^{8} e^{9} + 20 \, a^{3} c^{3} d^{6} e^{11} + 15 \, a^{4} c^{2} d^{4} e^{13} + 6 \, a^{5} c d^{2} e^{15} + a^{6} e^{17}\right)}} - \frac{35 \, \sqrt{c x^{2} + a} c^{8} d^{7} x}{64 \, {\left(c^{6} d^{12} e^{4} + 6 \, a c^{5} d^{10} e^{6} + 15 \, a^{2} c^{4} d^{8} e^{8} + 20 \, a^{3} c^{3} d^{6} e^{10} + 15 \, a^{4} c^{2} d^{4} e^{12} + 6 \, a^{5} c d^{2} e^{14} + a^{6} e^{16}\right)}} - \frac{285 \, c^{8} d^{7} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, {\left(c^{\frac{11}{2}} d^{10} e^{6} + 5 \, a c^{\frac{9}{2}} d^{8} e^{8} + 10 \, a^{2} c^{\frac{7}{2}} d^{6} e^{10} + 10 \, a^{3} c^{\frac{5}{2}} d^{4} e^{12} + 5 \, a^{4} c^{\frac{3}{2}} d^{2} e^{14} + a^{5} \sqrt{c} e^{16}\right)}} + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{6} d^{6}}{128 \, {\left(c^{7} d^{14} e x^{2} + 7 \, a c^{6} d^{12} e^{3} x^{2} + 21 \, a^{2} c^{5} d^{10} e^{5} x^{2} + 35 \, a^{3} c^{4} d^{8} e^{7} x^{2} + 35 \, a^{4} c^{3} d^{6} e^{9} x^{2} + 21 \, a^{5} c^{2} d^{4} e^{11} x^{2} + 7 \, a^{6} c d^{2} e^{13} x^{2} + a^{7} e^{15} x^{2} + 2 \, c^{7} d^{15} x + 14 \, a c^{6} d^{13} e^{2} x + 42 \, a^{2} c^{5} d^{11} e^{4} x + 70 \, a^{3} c^{4} d^{9} e^{6} x + 70 \, a^{4} c^{3} d^{7} e^{8} x + 42 \, a^{5} c^{2} d^{5} e^{10} x + 14 \, a^{6} c d^{3} e^{12} x + 2 \, a^{7} d e^{14} x + \frac{c^{7} d^{16}}{e} + 7 \, a c^{6} d^{14} e + 21 \, a^{2} c^{5} d^{12} e^{3} + 35 \, a^{3} c^{4} d^{10} e^{5} + 35 \, a^{4} c^{3} d^{8} e^{7} + 21 \, a^{5} c^{2} d^{6} e^{9} + 7 \, a^{6} c d^{4} e^{11} + a^{7} d^{2} e^{13}\right)}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{7} d^{6}}{128 \, {\left(c^{7} d^{14} e + 7 \, a c^{6} d^{12} e^{3} + 21 \, a^{2} c^{5} d^{10} e^{5} + 35 \, a^{3} c^{4} d^{8} e^{7} + 35 \, a^{4} c^{3} d^{6} e^{9} + 21 \, a^{5} c^{2} d^{4} e^{11} + 7 \, a^{6} c d^{2} e^{13} + a^{7} e^{15}\right)}} + \frac{35 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{7} d^{6}}{96 \, {\left(c^{6} d^{12} e^{3} + 6 \, a c^{5} d^{10} e^{5} + 15 \, a^{2} c^{4} d^{8} e^{7} + 20 \, a^{3} c^{3} d^{6} e^{9} + 15 \, a^{4} c^{2} d^{4} e^{11} + 6 \, a^{5} c d^{2} e^{13} + a^{6} e^{15}\right)}} - \frac{185 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{7} d^{5} x}{384 \, {\left(c^{6} d^{12} e^{2} + 6 \, a c^{5} d^{10} e^{4} + 15 \, a^{2} c^{4} d^{8} e^{6} + 20 \, a^{3} c^{3} d^{6} e^{8} + 15 \, a^{4} c^{2} d^{4} e^{10} + 6 \, a^{5} c d^{2} e^{12} + a^{6} e^{14}\right)}} - \frac{185 \, \sqrt{c x^{2} + a} a c^{7} d^{5} x}{256 \, {\left(c^{6} d^{12} e^{2} + 6 \, a c^{5} d^{10} e^{4} + 15 \, a^{2} c^{4} d^{8} e^{6} + 20 \, a^{3} c^{3} d^{6} e^{8} + 15 \, a^{4} c^{2} d^{4} e^{10} + 6 \, a^{5} c d^{2} e^{12} + a^{6} e^{14}\right)}} - \frac{85 \, a c^{7} d^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{64 \, {\left(c^{\frac{11}{2}} d^{10} e^{4} + 5 \, a c^{\frac{9}{2}} d^{8} e^{6} + 10 \, a^{2} c^{\frac{7}{2}} d^{6} e^{8} + 10 \, a^{3} c^{\frac{5}{2}} d^{4} e^{10} + 5 \, a^{4} c^{\frac{3}{2}} d^{2} e^{12} + a^{5} \sqrt{c} e^{14}\right)}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{5} d^{5}}{64 \, {\left(c^{6} d^{12} e^{2} x^{3} + 6 \, a c^{5} d^{10} e^{4} x^{3} + 15 \, a^{2} c^{4} d^{8} e^{6} x^{3} + 20 \, a^{3} c^{3} d^{6} e^{8} x^{3} + 15 \, a^{4} c^{2} d^{4} e^{10} x^{3} + 6 \, a^{5} c d^{2} e^{12} x^{3} + a^{6} e^{14} x^{3} + 3 \, c^{6} d^{13} e x^{2} + 18 \, a c^{5} d^{11} e^{3} x^{2} + 45 \, a^{2} c^{4} d^{9} e^{5} x^{2} + 60 \, a^{3} c^{3} d^{7} e^{7} x^{2} + 45 \, a^{4} c^{2} d^{5} e^{9} x^{2} + 18 \, a^{5} c d^{3} e^{11} x^{2} + 3 \, a^{6} d e^{13} x^{2} + 3 \, c^{6} d^{14} x + 18 \, a c^{5} d^{12} e^{2} x + 45 \, a^{2} c^{4} d^{10} e^{4} x + 60 \, a^{3} c^{3} d^{8} e^{6} x + 45 \, a^{4} c^{2} d^{6} e^{8} x + 18 \, a^{5} c d^{4} e^{10} x + 3 \, a^{6} d^{2} e^{12} x + \frac{c^{6} d^{15}}{e} + 6 \, a c^{5} d^{13} e + 15 \, a^{2} c^{4} d^{11} e^{3} + 20 \, a^{3} c^{3} d^{9} e^{5} + 15 \, a^{4} c^{2} d^{7} e^{7} + 6 \, a^{5} c d^{5} e^{9} + a^{6} d^{3} e^{11}\right)}} + \frac{31 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{6} d^{5}}{128 \, {\left(c^{6} d^{12} e^{2} x + 6 \, a c^{5} d^{10} e^{4} x + 15 \, a^{2} c^{4} d^{8} e^{6} x + 20 \, a^{3} c^{3} d^{6} e^{8} x + 15 \, a^{4} c^{2} d^{4} e^{10} x + 6 \, a^{5} c d^{2} e^{12} x + a^{6} e^{14} x + c^{6} d^{13} e + 6 \, a c^{5} d^{11} e^{3} + 15 \, a^{2} c^{4} d^{9} e^{5} + 20 \, a^{3} c^{3} d^{7} e^{7} + 15 \, a^{4} c^{2} d^{5} e^{9} + 6 \, a^{5} c d^{3} e^{11} + a^{6} d e^{13}\right)}} + \frac{35 \, \sqrt{c x^{2} + a} c^{7} d^{6}}{32 \, {\left(c^{5} d^{10} e^{5} + 5 \, a c^{4} d^{8} e^{7} + 10 \, a^{2} c^{3} d^{6} e^{9} + 10 \, a^{3} c^{2} d^{4} e^{11} + 5 \, a^{4} c d^{2} e^{13} + a^{5} e^{15}\right)}} + \frac{75 \, \sqrt{c x^{2} + a} c^{7} d^{5} x}{128 \, {\left(c^{5} d^{10} e^{4} + 5 \, a c^{4} d^{8} e^{6} + 10 \, a^{2} c^{3} d^{6} e^{8} + 10 \, a^{3} c^{2} d^{4} e^{10} + 5 \, a^{4} c d^{2} e^{12} + a^{5} e^{14}\right)}} + \frac{255 \, c^{7} d^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, {\left(c^{\frac{9}{2}} d^{8} e^{6} + 4 \, a c^{\frac{7}{2}} d^{6} e^{8} + 6 \, a^{2} c^{\frac{5}{2}} d^{4} e^{10} + 4 \, a^{3} c^{\frac{3}{2}} d^{2} e^{12} + a^{4} \sqrt{c} e^{14}\right)}} - \frac{55 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{5} d^{4}}{384 \, {\left(c^{6} d^{12} e x^{2} + 6 \, a c^{5} d^{10} e^{3} x^{2} + 15 \, a^{2} c^{4} d^{8} e^{5} x^{2} + 20 \, a^{3} c^{3} d^{6} e^{7} x^{2} + 15 \, a^{4} c^{2} d^{4} e^{9} x^{2} + 6 \, a^{5} c d^{2} e^{11} x^{2} + a^{6} e^{13} x^{2} + 2 \, c^{6} d^{13} x + 12 \, a c^{5} d^{11} e^{2} x + 30 \, a^{2} c^{4} d^{9} e^{4} x + 40 \, a^{3} c^{3} d^{7} e^{6} x + 30 \, a^{4} c^{2} d^{5} e^{8} x + 12 \, a^{5} c d^{3} e^{10} x + 2 \, a^{6} d e^{12} x + \frac{c^{6} d^{14}}{e} + 6 \, a c^{5} d^{12} e + 15 \, a^{2} c^{4} d^{10} e^{3} + 20 \, a^{3} c^{3} d^{8} e^{5} + 15 \, a^{4} c^{2} d^{6} e^{7} + 6 \, a^{5} c d^{4} e^{9} + a^{6} d^{2} e^{11}\right)}} + \frac{55 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{6} d^{4}}{384 \, {\left(c^{6} d^{12} e + 6 \, a c^{5} d^{10} e^{3} + 15 \, a^{2} c^{4} d^{8} e^{5} + 20 \, a^{3} c^{3} d^{6} e^{7} + 15 \, a^{4} c^{2} d^{4} e^{9} + 6 \, a^{5} c d^{2} e^{11} + a^{6} e^{13}\right)}} - \frac{9 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{4} d^{4}}{64 \, {\left(c^{5} d^{10} e^{3} x^{4} + 5 \, a c^{4} d^{8} e^{5} x^{4} + 10 \, a^{2} c^{3} d^{6} e^{7} x^{4} + 10 \, a^{3} c^{2} d^{4} e^{9} x^{4} + 5 \, a^{4} c d^{2} e^{11} x^{4} + a^{5} e^{13} x^{4} + 4 \, c^{5} d^{11} e^{2} x^{3} + 20 \, a c^{4} d^{9} e^{4} x^{3} + 40 \, a^{2} c^{3} d^{7} e^{6} x^{3} + 40 \, a^{3} c^{2} d^{5} e^{8} x^{3} + 20 \, a^{4} c d^{3} e^{10} x^{3} + 4 \, a^{5} d e^{12} x^{3} + 6 \, c^{5} d^{12} e x^{2} + 30 \, a c^{4} d^{10} e^{3} x^{2} + 60 \, a^{2} c^{3} d^{8} e^{5} x^{2} + 60 \, a^{3} c^{2} d^{6} e^{7} x^{2} + 30 \, a^{4} c d^{4} e^{9} x^{2} + 6 \, a^{5} d^{2} e^{11} x^{2} + 4 \, c^{5} d^{13} x + 20 \, a c^{4} d^{11} e^{2} x + 40 \, a^{2} c^{3} d^{9} e^{4} x + 40 \, a^{3} c^{2} d^{7} e^{6} x + 20 \, a^{4} c d^{5} e^{8} x + 4 \, a^{5} d^{3} e^{10} x + \frac{c^{5} d^{14}}{e} + 5 \, a c^{4} d^{12} e + 10 \, a^{2} c^{3} d^{10} e^{3} + 10 \, a^{3} c^{2} d^{8} e^{5} + 5 \, a^{4} c d^{6} e^{7} + a^{5} d^{4} e^{9}\right)}} - \frac{25 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{6} d^{4}}{64 \, {\left(c^{5} d^{10} e^{3} + 5 \, a c^{4} d^{8} e^{5} + 10 \, a^{2} c^{3} d^{6} e^{7} + 10 \, a^{3} c^{2} d^{4} e^{9} + 5 \, a^{4} c d^{2} e^{11} + a^{5} e^{13}\right)}} + \frac{155 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{6} d^{3} x}{384 \, {\left(c^{5} d^{10} e^{2} + 5 \, a c^{4} d^{8} e^{4} + 10 \, a^{2} c^{3} d^{6} e^{6} + 10 \, a^{3} c^{2} d^{4} e^{8} + 5 \, a^{4} c d^{2} e^{10} + a^{5} e^{12}\right)}} + \frac{155 \, \sqrt{c x^{2} + a} a c^{6} d^{3} x}{256 \, {\left(c^{5} d^{10} e^{2} + 5 \, a c^{4} d^{8} e^{4} + 10 \, a^{2} c^{3} d^{6} e^{6} + 10 \, a^{3} c^{2} d^{4} e^{8} + 5 \, a^{4} c d^{2} e^{10} + a^{5} e^{12}\right)}} + \frac{85 \, a c^{6} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, {\left(c^{\frac{9}{2}} d^{8} e^{4} + 4 \, a c^{\frac{7}{2}} d^{6} e^{6} + 6 \, a^{2} c^{\frac{5}{2}} d^{4} e^{8} + 4 \, a^{3} c^{\frac{3}{2}} d^{2} e^{10} + a^{4} \sqrt{c} e^{12}\right)}} - \frac{13 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{4} d^{3}}{96 \, {\left(c^{5} d^{10} e^{2} x^{3} + 5 \, a c^{4} d^{8} e^{4} x^{3} + 10 \, a^{2} c^{3} d^{6} e^{6} x^{3} + 10 \, a^{3} c^{2} d^{4} e^{8} x^{3} + 5 \, a^{4} c d^{2} e^{10} x^{3} + a^{5} e^{12} x^{3} + 3 \, c^{5} d^{11} e x^{2} + 15 \, a c^{4} d^{9} e^{3} x^{2} + 30 \, a^{2} c^{3} d^{7} e^{5} x^{2} + 30 \, a^{3} c^{2} d^{5} e^{7} x^{2} + 15 \, a^{4} c d^{3} e^{9} x^{2} + 3 \, a^{5} d e^{11} x^{2} + 3 \, c^{5} d^{12} x + 15 \, a c^{4} d^{10} e^{2} x + 30 \, a^{2} c^{3} d^{8} e^{4} x + 30 \, a^{3} c^{2} d^{6} e^{6} x + 15 \, a^{4} c d^{4} e^{8} x + 3 \, a^{5} d^{2} e^{10} x + \frac{c^{5} d^{13}}{e} + 5 \, a c^{4} d^{11} e + 10 \, a^{2} c^{3} d^{9} e^{3} + 10 \, a^{3} c^{2} d^{7} e^{5} + 5 \, a^{4} c d^{5} e^{7} + a^{5} d^{3} e^{9}\right)}} - \frac{145 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{5} d^{3}}{384 \, {\left(c^{5} d^{10} e^{2} x + 5 \, a c^{4} d^{8} e^{4} x + 10 \, a^{2} c^{3} d^{6} e^{6} x + 10 \, a^{3} c^{2} d^{4} e^{8} x + 5 \, a^{4} c d^{2} e^{10} x + a^{5} e^{12} x + c^{5} d^{11} e + 5 \, a c^{4} d^{9} e^{3} + 10 \, a^{2} c^{3} d^{7} e^{5} + 10 \, a^{3} c^{2} d^{5} e^{7} + 5 \, a^{4} c d^{3} e^{9} + a^{5} d e^{11}\right)}} - \frac{75 \, \sqrt{c x^{2} + a} c^{6} d^{4}}{64 \, {\left(c^{4} d^{8} e^{5} + 4 \, a c^{3} d^{6} e^{7} + 6 \, a^{2} c^{2} d^{4} e^{9} + 4 \, a^{3} c d^{2} e^{11} + a^{4} e^{13}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} c^{6} d^{3} x}{64 \, {\left(c^{4} d^{8} e^{4} + 4 \, a c^{3} d^{6} e^{6} + 6 \, a^{2} c^{2} d^{4} e^{8} + 4 \, a^{3} c d^{2} e^{10} + a^{4} e^{12}\right)}} - \frac{185 \, c^{6} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{256 \, {\left(c^{\frac{7}{2}} d^{6} e^{6} + 3 \, a c^{\frac{5}{2}} d^{4} e^{8} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{10} + a^{3} \sqrt{c} e^{12}\right)}} - \frac{7 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{4} d^{2}}{128 \, {\left(c^{5} d^{10} e x^{2} + 5 \, a c^{4} d^{8} e^{3} x^{2} + 10 \, a^{2} c^{3} d^{6} e^{5} x^{2} + 10 \, a^{3} c^{2} d^{4} e^{7} x^{2} + 5 \, a^{4} c d^{2} e^{9} x^{2} + a^{5} e^{11} x^{2} + 2 \, c^{5} d^{11} x + 10 \, a c^{4} d^{9} e^{2} x + 20 \, a^{2} c^{3} d^{7} e^{4} x + 20 \, a^{3} c^{2} d^{5} e^{6} x + 10 \, a^{4} c d^{3} e^{8} x + 2 \, a^{5} d e^{10} x + \frac{c^{5} d^{12}}{e} + 5 \, a c^{4} d^{10} e + 10 \, a^{2} c^{3} d^{8} e^{3} + 10 \, a^{3} c^{2} d^{6} e^{5} + 5 \, a^{4} c d^{4} e^{7} + a^{5} d^{2} e^{9}\right)}} + \frac{7 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{5} d^{2}}{128 \, {\left(c^{5} d^{10} e + 5 \, a c^{4} d^{8} e^{3} + 10 \, a^{2} c^{3} d^{6} e^{5} + 10 \, a^{3} c^{2} d^{4} e^{7} + 5 \, a^{4} c d^{2} e^{9} + a^{5} e^{11}\right)}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3} d^{3}}{16 \, {\left(c^{4} d^{8} e^{4} x^{5} + 4 \, a c^{3} d^{6} e^{6} x^{5} + 6 \, a^{2} c^{2} d^{4} e^{8} x^{5} + 4 \, a^{3} c d^{2} e^{10} x^{5} + a^{4} e^{12} x^{5} + 5 \, c^{4} d^{9} e^{3} x^{4} + 20 \, a c^{3} d^{7} e^{5} x^{4} + 30 \, a^{2} c^{2} d^{5} e^{7} x^{4} + 20 \, a^{3} c d^{3} e^{9} x^{4} + 5 \, a^{4} d e^{11} x^{4} + 10 \, c^{4} d^{10} e^{2} x^{3} + 40 \, a c^{3} d^{8} e^{4} x^{3} + 60 \, a^{2} c^{2} d^{6} e^{6} x^{3} + 40 \, a^{3} c d^{4} e^{8} x^{3} + 10 \, a^{4} d^{2} e^{10} x^{3} + 10 \, c^{4} d^{11} e x^{2} + 40 \, a c^{3} d^{9} e^{3} x^{2} + 60 \, a^{2} c^{2} d^{7} e^{5} x^{2} + 40 \, a^{3} c d^{5} e^{7} x^{2} + 10 \, a^{4} d^{3} e^{9} x^{2} + 5 \, c^{4} d^{12} x + 20 \, a c^{3} d^{10} e^{2} x + 30 \, a^{2} c^{2} d^{8} e^{4} x + 20 \, a^{3} c d^{6} e^{6} x + 5 \, a^{4} d^{4} e^{8} x + \frac{c^{4} d^{13}}{e} + 4 \, a c^{3} d^{11} e + 6 \, a^{2} c^{2} d^{9} e^{3} + 4 \, a^{3} c d^{7} e^{5} + a^{4} d^{5} e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3} d^{2}}{32 \, {\left(c^{4} d^{8} e^{3} x^{4} + 4 \, a c^{3} d^{6} e^{5} x^{4} + 6 \, a^{2} c^{2} d^{4} e^{7} x^{4} + 4 \, a^{3} c d^{2} e^{9} x^{4} + a^{4} e^{11} x^{4} + 4 \, c^{4} d^{9} e^{2} x^{3} + 16 \, a c^{3} d^{7} e^{4} x^{3} + 24 \, a^{2} c^{2} d^{5} e^{6} x^{3} + 16 \, a^{3} c d^{3} e^{8} x^{3} + 4 \, a^{4} d e^{10} x^{3} + 6 \, c^{4} d^{10} e x^{2} + 24 \, a c^{3} d^{8} e^{3} x^{2} + 36 \, a^{2} c^{2} d^{6} e^{5} x^{2} + 24 \, a^{3} c d^{4} e^{7} x^{2} + 6 \, a^{4} d^{2} e^{9} x^{2} + 4 \, c^{4} d^{11} x + 16 \, a c^{3} d^{9} e^{2} x + 24 \, a^{2} c^{2} d^{7} e^{4} x + 16 \, a^{3} c d^{5} e^{6} x + 4 \, a^{4} d^{3} e^{8} x + \frac{c^{4} d^{12}}{e} + 4 \, a c^{3} d^{10} e + 6 \, a^{2} c^{2} d^{8} e^{3} + 4 \, a^{3} c d^{6} e^{5} + a^{4} d^{4} e^{7}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d^{2}}{32 \, {\left(c^{4} d^{8} e^{3} + 4 \, a c^{3} d^{6} e^{5} + 6 \, a^{2} c^{2} d^{4} e^{7} + 4 \, a^{3} c d^{2} e^{9} + a^{4} e^{11}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{5} d x}{128 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} - \frac{15 \, \sqrt{c x^{2} + a} a c^{5} d x}{256 \, {\left(c^{4} d^{8} e^{2} + 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} + 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)}} - \frac{15 \, a c^{5} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{256 \, {\left(c^{\frac{7}{2}} d^{6} e^{4} + 3 \, a c^{\frac{5}{2}} d^{4} e^{6} + 3 \, a^{2} c^{\frac{3}{2}} d^{2} e^{8} + a^{3} \sqrt{c} e^{10}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3} d}{64 \, {\left(c^{4} d^{8} e^{2} x^{3} + 4 \, a c^{3} d^{6} e^{4} x^{3} + 6 \, a^{2} c^{2} d^{4} e^{6} x^{3} + 4 \, a^{3} c d^{2} e^{8} x^{3} + a^{4} e^{10} x^{3} + 3 \, c^{4} d^{9} e x^{2} + 12 \, a c^{3} d^{7} e^{3} x^{2} + 18 \, a^{2} c^{2} d^{5} e^{5} x^{2} + 12 \, a^{3} c d^{3} e^{7} x^{2} + 3 \, a^{4} d e^{9} x^{2} + 3 \, c^{4} d^{10} x + 12 \, a c^{3} d^{8} e^{2} x + 18 \, a^{2} c^{2} d^{6} e^{4} x + 12 \, a^{3} c d^{4} e^{6} x + 3 \, a^{4} d^{2} e^{8} x + \frac{c^{4} d^{11}}{e} + 4 \, a c^{3} d^{9} e + 6 \, a^{2} c^{2} d^{7} e^{3} + 4 \, a^{3} c d^{5} e^{5} + a^{4} d^{3} e^{7}\right)}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{4} d}{128 \, {\left(c^{4} d^{8} e^{2} x + 4 \, a c^{3} d^{6} e^{4} x + 6 \, a^{2} c^{2} d^{4} e^{6} x + 4 \, a^{3} c d^{2} e^{8} x + a^{4} e^{10} x + c^{4} d^{9} e + 4 \, a c^{3} d^{7} e^{3} + 6 \, a^{2} c^{2} d^{5} e^{5} + 4 \, a^{3} c d^{3} e^{7} + a^{4} d e^{9}\right)}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2} d^{2}}{16 \, {\left(c^{3} d^{6} e^{5} x^{6} + 3 \, a c^{2} d^{4} e^{7} x^{6} + 3 \, a^{2} c d^{2} e^{9} x^{6} + a^{3} e^{11} x^{6} + 6 \, c^{3} d^{7} e^{4} x^{5} + 18 \, a c^{2} d^{5} e^{6} x^{5} + 18 \, a^{2} c d^{3} e^{8} x^{5} + 6 \, a^{3} d e^{10} x^{5} + 15 \, c^{3} d^{8} e^{3} x^{4} + 45 \, a c^{2} d^{6} e^{5} x^{4} + 45 \, a^{2} c d^{4} e^{7} x^{4} + 15 \, a^{3} d^{2} e^{9} x^{4} + 20 \, c^{3} d^{9} e^{2} x^{3} + 60 \, a c^{2} d^{7} e^{4} x^{3} + 60 \, a^{2} c d^{5} e^{6} x^{3} + 20 \, a^{3} d^{3} e^{8} x^{3} + 15 \, c^{3} d^{10} e x^{2} + 45 \, a c^{2} d^{8} e^{3} x^{2} + 45 \, a^{2} c d^{6} e^{5} x^{2} + 15 \, a^{3} d^{4} e^{7} x^{2} + 6 \, c^{3} d^{11} x + 18 \, a c^{2} d^{9} e^{2} x + 18 \, a^{2} c d^{7} e^{4} x + 6 \, a^{3} d^{5} e^{6} x + \frac{c^{3} d^{12}}{e} + 3 \, a c^{2} d^{10} e + 3 \, a^{2} c d^{8} e^{3} + a^{3} d^{6} e^{5}\right)}} + \frac{15 \, \sqrt{c x^{2} + a} c^{5} d^{2}}{32 \, {\left(c^{3} d^{6} e^{5} + 3 \, a c^{2} d^{4} e^{7} + 3 \, a^{2} c d^{2} e^{9} + a^{3} e^{11}\right)}} + \frac{5 \, \sqrt{c x^{2} + a} c^{5} d x}{256 \, {\left(c^{3} d^{6} e^{4} + 3 \, a c^{2} d^{4} e^{6} + 3 \, a^{2} c d^{2} e^{8} + a^{3} e^{10}\right)}} + \frac{15 \, c^{5} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{256 \, {\left(c^{\frac{5}{2}} d^{4} e^{6} + 2 \, a c^{\frac{3}{2}} d^{2} e^{8} + a^{2} \sqrt{c} e^{10}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{3}}{128 \, {\left(c^{4} d^{8} e x^{2} + 4 \, a c^{3} d^{6} e^{3} x^{2} + 6 \, a^{2} c^{2} d^{4} e^{5} x^{2} + 4 \, a^{3} c d^{2} e^{7} x^{2} + a^{4} e^{9} x^{2} + 2 \, c^{4} d^{9} x + 8 \, a c^{3} d^{7} e^{2} x + 12 \, a^{2} c^{2} d^{5} e^{4} x + 8 \, a^{3} c d^{3} e^{6} x + 2 \, a^{4} d e^{8} x + \frac{c^{4} d^{10}}{e} + 4 \, a c^{3} d^{8} e + 6 \, a^{2} c^{2} d^{6} e^{3} + 4 \, a^{3} c d^{4} e^{5} + a^{4} d^{2} e^{7}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} c^{4}}{128 \, {\left(c^{4} d^{8} e + 4 \, a c^{3} d^{6} e^{3} + 6 \, a^{2} c^{2} d^{4} e^{5} + 4 \, a^{3} c d^{2} e^{7} + a^{4} e^{9}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2} d}{48 \, {\left(c^{3} d^{6} e^{4} x^{5} + 3 \, a c^{2} d^{4} e^{6} x^{5} + 3 \, a^{2} c d^{2} e^{8} x^{5} + a^{3} e^{10} x^{5} + 5 \, c^{3} d^{7} e^{3} x^{4} + 15 \, a c^{2} d^{5} e^{5} x^{4} + 15 \, a^{2} c d^{3} e^{7} x^{4} + 5 \, a^{3} d e^{9} x^{4} + 10 \, c^{3} d^{8} e^{2} x^{3} + 30 \, a c^{2} d^{6} e^{4} x^{3} + 30 \, a^{2} c d^{4} e^{6} x^{3} + 10 \, a^{3} d^{2} e^{8} x^{3} + 10 \, c^{3} d^{9} e x^{2} + 30 \, a c^{2} d^{7} e^{3} x^{2} + 30 \, a^{2} c d^{5} e^{5} x^{2} + 10 \, a^{3} d^{3} e^{7} x^{2} + 5 \, c^{3} d^{10} x + 15 \, a c^{2} d^{8} e^{2} x + 15 \, a^{2} c d^{6} e^{4} x + 5 \, a^{3} d^{4} e^{6} x + \frac{c^{3} d^{11}}{e} + 3 \, a c^{2} d^{9} e + 3 \, a^{2} c d^{7} e^{3} + a^{3} d^{5} e^{5}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c^{2}}{192 \, {\left(c^{3} d^{6} e^{3} x^{4} + 3 \, a c^{2} d^{4} e^{5} x^{4} + 3 \, a^{2} c d^{2} e^{7} x^{4} + a^{3} e^{9} x^{4} + 4 \, c^{3} d^{7} e^{2} x^{3} + 12 \, a c^{2} d^{5} e^{4} x^{3} + 12 \, a^{2} c d^{3} e^{6} x^{3} + 4 \, a^{3} d e^{8} x^{3} + 6 \, c^{3} d^{8} e x^{2} + 18 \, a c^{2} d^{6} e^{3} x^{2} + 18 \, a^{2} c d^{4} e^{5} x^{2} + 6 \, a^{3} d^{2} e^{7} x^{2} + 4 \, c^{3} d^{9} x + 12 \, a c^{2} d^{7} e^{2} x + 12 \, a^{2} c d^{5} e^{4} x + 4 \, a^{3} d^{3} e^{6} x + \frac{c^{3} d^{10}}{e} + 3 \, a c^{2} d^{8} e + 3 \, a^{2} c d^{6} e^{3} + a^{3} d^{4} e^{5}\right)}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{4}}{384 \, {\left(c^{3} d^{6} e^{3} + 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} + a^{3} e^{9}\right)}} - \frac{9 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c d}{56 \, {\left(c^{2} d^{4} e^{6} x^{7} + 2 \, a c d^{2} e^{8} x^{7} + a^{2} e^{10} x^{7} + 7 \, c^{2} d^{5} e^{5} x^{6} + 14 \, a c d^{3} e^{7} x^{6} + 7 \, a^{2} d e^{9} x^{6} + 21 \, c^{2} d^{6} e^{4} x^{5} + 42 \, a c d^{4} e^{6} x^{5} + 21 \, a^{2} d^{2} e^{8} x^{5} + 35 \, c^{2} d^{7} e^{3} x^{4} + 70 \, a c d^{5} e^{5} x^{4} + 35 \, a^{2} d^{3} e^{7} x^{4} + 35 \, c^{2} d^{8} e^{2} x^{3} + 70 \, a c d^{6} e^{4} x^{3} + 35 \, a^{2} d^{4} e^{6} x^{3} + 21 \, c^{2} d^{9} e x^{2} + 42 \, a c d^{7} e^{3} x^{2} + 21 \, a^{2} d^{5} e^{5} x^{2} + 7 \, c^{2} d^{10} x + 14 \, a c d^{8} e^{2} x + 7 \, a^{2} d^{6} e^{4} x + \frac{c^{2} d^{11}}{e} + 2 \, a c d^{9} e + a^{2} d^{7} e^{3}\right)}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} c}{48 \, {\left(c^{2} d^{4} e^{5} x^{6} + 2 \, a c d^{2} e^{7} x^{6} + a^{2} e^{9} x^{6} + 6 \, c^{2} d^{5} e^{4} x^{5} + 12 \, a c d^{3} e^{6} x^{5} + 6 \, a^{2} d e^{8} x^{5} + 15 \, c^{2} d^{6} e^{3} x^{4} + 30 \, a c d^{4} e^{5} x^{4} + 15 \, a^{2} d^{2} e^{7} x^{4} + 20 \, c^{2} d^{7} e^{2} x^{3} + 40 \, a c d^{5} e^{4} x^{3} + 20 \, a^{2} d^{3} e^{6} x^{3} + 15 \, c^{2} d^{8} e x^{2} + 30 \, a c d^{6} e^{3} x^{2} + 15 \, a^{2} d^{4} e^{5} x^{2} + 6 \, c^{2} d^{9} x + 12 \, a c d^{7} e^{2} x + 6 \, a^{2} d^{5} e^{4} x + \frac{c^{2} d^{10}}{e} + 2 \, a c d^{8} e + a^{2} d^{6} e^{3}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c^{4}}{128 \, {\left(c^{2} d^{4} e^{5} + 2 \, a c d^{2} e^{7} + a^{2} e^{9}\right)}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}}}{8 \, {\left(c d^{2} e^{7} x^{8} + a e^{9} x^{8} + 8 \, c d^{3} e^{6} x^{7} + 8 \, a d e^{8} x^{7} + 28 \, c d^{4} e^{5} x^{6} + 28 \, a d^{2} e^{7} x^{6} + 56 \, c d^{5} e^{4} x^{5} + 56 \, a d^{3} e^{6} x^{5} + 70 \, c d^{6} e^{3} x^{4} + 70 \, a d^{4} e^{5} x^{4} + 56 \, c d^{7} e^{2} x^{3} + 56 \, a d^{5} e^{4} x^{3} + 28 \, c d^{8} e x^{2} + 28 \, a d^{6} e^{3} x^{2} + 8 \, c d^{9} x + 8 \, a d^{7} e^{2} x + \frac{c d^{10}}{e} + a d^{8} e\right)}} - \frac{45 \, c^{8} d^{8} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{128 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{11}{2}} e^{17}} + \frac{35 \, c^{7} d^{6} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{32 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{9}{2}} e^{15}} - \frac{75 \, c^{6} d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{64 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{13}} + \frac{15 \, c^{5} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{32 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{11}} - \frac{5 \, c^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{128 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{9}}"," ",0,"-45/256*c^10*d^11*arcsinh(c*x/sqrt(a*c))/(c^(15/2)*d^14*e^6 + 7*a*c^(13/2)*d^12*e^8 + 21*a^2*c^(11/2)*d^10*e^10 + 35*a^3*c^(9/2)*d^8*e^12 + 35*a^4*c^(7/2)*d^6*e^14 + 21*a^5*c^(5/2)*d^4*e^16 + 7*a^6*c^(3/2)*d^2*e^18 + a^7*sqrt(c)*e^20) - 45/256*a*c^9*d^9*arcsinh(c*x/sqrt(a*c))/(c^(15/2)*d^14*e^4 + 7*a*c^(13/2)*d^12*e^6 + 21*a^2*c^(11/2)*d^10*e^8 + 35*a^3*c^(9/2)*d^8*e^10 + 35*a^4*c^(7/2)*d^6*e^12 + 21*a^5*c^(5/2)*d^4*e^14 + 7*a^6*c^(3/2)*d^2*e^16 + a^7*sqrt(c)*e^18) + 45/256*sqrt(c*x^2 + a)*c^9*d^9*x/(c^7*d^14*e^4 + 7*a*c^6*d^12*e^6 + 21*a^2*c^5*d^10*e^8 + 35*a^3*c^4*d^8*e^10 + 35*a^4*c^3*d^6*e^12 + 21*a^5*c^2*d^4*e^14 + 7*a^6*c*d^2*e^16 + a^7*e^18) + 275/256*c^9*d^9*arcsinh(c*x/sqrt(a*c))/(c^(13/2)*d^12*e^6 + 6*a*c^(11/2)*d^10*e^8 + 15*a^2*c^(9/2)*d^8*e^10 + 20*a^3*c^(7/2)*d^6*e^12 + 15*a^4*c^(5/2)*d^4*e^14 + 6*a^5*c^(3/2)*d^2*e^16 + a^6*sqrt(c)*e^18) - 15/128*(c*x^2 + a)^(3/2)*c^8*d^8/(c^7*d^14*e^3 + 7*a*c^6*d^12*e^5 + 21*a^2*c^5*d^10*e^7 + 35*a^3*c^4*d^8*e^9 + 35*a^4*c^3*d^6*e^11 + 21*a^5*c^2*d^4*e^13 + 7*a^6*c*d^2*e^15 + a^7*e^17) + 15/128*(c*x^2 + a)^(3/2)*c^8*d^7*x/(c^7*d^14*e^2 + 7*a*c^6*d^12*e^4 + 21*a^2*c^5*d^10*e^6 + 35*a^3*c^4*d^8*e^8 + 35*a^4*c^3*d^6*e^10 + 21*a^5*c^2*d^4*e^12 + 7*a^6*c*d^2*e^14 + a^7*e^16) + 45/256*sqrt(c*x^2 + a)*a*c^8*d^7*x/(c^7*d^14*e^2 + 7*a*c^6*d^12*e^4 + 21*a^2*c^5*d^10*e^6 + 35*a^3*c^4*d^8*e^8 + 35*a^4*c^3*d^6*e^10 + 21*a^5*c^2*d^4*e^12 + 7*a^6*c*d^2*e^14 + a^7*e^16) + 115/128*a*c^8*d^7*arcsinh(c*x/sqrt(a*c))/(c^(13/2)*d^12*e^4 + 6*a*c^(11/2)*d^10*e^6 + 15*a^2*c^(9/2)*d^8*e^8 + 20*a^3*c^(7/2)*d^6*e^10 + 15*a^4*c^(5/2)*d^4*e^12 + 6*a^5*c^(3/2)*d^2*e^14 + a^6*sqrt(c)*e^16) - 9/128*(c*x^2 + a)^(5/2)*c^7*d^7/(c^7*d^14*e^2*x + 7*a*c^6*d^12*e^4*x + 21*a^2*c^5*d^10*e^6*x + 35*a^3*c^4*d^8*e^8*x + 35*a^4*c^3*d^6*e^10*x + 21*a^5*c^2*d^4*e^12*x + 7*a^6*c*d^2*e^14*x + a^7*e^16*x + c^7*d^15*e + 7*a*c^6*d^13*e^3 + 21*a^2*c^5*d^11*e^5 + 35*a^3*c^4*d^9*e^7 + 35*a^4*c^3*d^7*e^9 + 21*a^5*c^2*d^5*e^11 + 7*a^6*c*d^3*e^13 + a^7*d*e^15) - 45/128*sqrt(c*x^2 + a)*c^8*d^8/(c^6*d^12*e^5 + 6*a*c^5*d^10*e^7 + 15*a^2*c^4*d^8*e^9 + 20*a^3*c^3*d^6*e^11 + 15*a^4*c^2*d^4*e^13 + 6*a^5*c*d^2*e^15 + a^6*e^17) - 35/64*sqrt(c*x^2 + a)*c^8*d^7*x/(c^6*d^12*e^4 + 6*a*c^5*d^10*e^6 + 15*a^2*c^4*d^8*e^8 + 20*a^3*c^3*d^6*e^10 + 15*a^4*c^2*d^4*e^12 + 6*a^5*c*d^2*e^14 + a^6*e^16) - 285/128*c^8*d^7*arcsinh(c*x/sqrt(a*c))/(c^(11/2)*d^10*e^6 + 5*a*c^(9/2)*d^8*e^8 + 10*a^2*c^(7/2)*d^6*e^10 + 10*a^3*c^(5/2)*d^4*e^12 + 5*a^4*c^(3/2)*d^2*e^14 + a^5*sqrt(c)*e^16) + 3/128*(c*x^2 + a)^(7/2)*c^6*d^6/(c^7*d^14*e*x^2 + 7*a*c^6*d^12*e^3*x^2 + 21*a^2*c^5*d^10*e^5*x^2 + 35*a^3*c^4*d^8*e^7*x^2 + 35*a^4*c^3*d^6*e^9*x^2 + 21*a^5*c^2*d^4*e^11*x^2 + 7*a^6*c*d^2*e^13*x^2 + a^7*e^15*x^2 + 2*c^7*d^15*x + 14*a*c^6*d^13*e^2*x + 42*a^2*c^5*d^11*e^4*x + 70*a^3*c^4*d^9*e^6*x + 70*a^4*c^3*d^7*e^8*x + 42*a^5*c^2*d^5*e^10*x + 14*a^6*c*d^3*e^12*x + 2*a^7*d*e^14*x + c^7*d^16/e + 7*a*c^6*d^14*e + 21*a^2*c^5*d^12*e^3 + 35*a^3*c^4*d^10*e^5 + 35*a^4*c^3*d^8*e^7 + 21*a^5*c^2*d^6*e^9 + 7*a^6*c*d^4*e^11 + a^7*d^2*e^13) - 3/128*(c*x^2 + a)^(5/2)*c^7*d^6/(c^7*d^14*e + 7*a*c^6*d^12*e^3 + 21*a^2*c^5*d^10*e^5 + 35*a^3*c^4*d^8*e^7 + 35*a^4*c^3*d^6*e^9 + 21*a^5*c^2*d^4*e^11 + 7*a^6*c*d^2*e^13 + a^7*e^15) + 35/96*(c*x^2 + a)^(3/2)*c^7*d^6/(c^6*d^12*e^3 + 6*a*c^5*d^10*e^5 + 15*a^2*c^4*d^8*e^7 + 20*a^3*c^3*d^6*e^9 + 15*a^4*c^2*d^4*e^11 + 6*a^5*c*d^2*e^13 + a^6*e^15) - 185/384*(c*x^2 + a)^(3/2)*c^7*d^5*x/(c^6*d^12*e^2 + 6*a*c^5*d^10*e^4 + 15*a^2*c^4*d^8*e^6 + 20*a^3*c^3*d^6*e^8 + 15*a^4*c^2*d^4*e^10 + 6*a^5*c*d^2*e^12 + a^6*e^14) - 185/256*sqrt(c*x^2 + a)*a*c^7*d^5*x/(c^6*d^12*e^2 + 6*a*c^5*d^10*e^4 + 15*a^2*c^4*d^8*e^6 + 20*a^3*c^3*d^6*e^8 + 15*a^4*c^2*d^4*e^10 + 6*a^5*c*d^2*e^12 + a^6*e^14) - 85/64*a*c^7*d^5*arcsinh(c*x/sqrt(a*c))/(c^(11/2)*d^10*e^4 + 5*a*c^(9/2)*d^8*e^6 + 10*a^2*c^(7/2)*d^6*e^8 + 10*a^3*c^(5/2)*d^4*e^10 + 5*a^4*c^(3/2)*d^2*e^12 + a^5*sqrt(c)*e^14) - 3/64*(c*x^2 + a)^(7/2)*c^5*d^5/(c^6*d^12*e^2*x^3 + 6*a*c^5*d^10*e^4*x^3 + 15*a^2*c^4*d^8*e^6*x^3 + 20*a^3*c^3*d^6*e^8*x^3 + 15*a^4*c^2*d^4*e^10*x^3 + 6*a^5*c*d^2*e^12*x^3 + a^6*e^14*x^3 + 3*c^6*d^13*e*x^2 + 18*a*c^5*d^11*e^3*x^2 + 45*a^2*c^4*d^9*e^5*x^2 + 60*a^3*c^3*d^7*e^7*x^2 + 45*a^4*c^2*d^5*e^9*x^2 + 18*a^5*c*d^3*e^11*x^2 + 3*a^6*d*e^13*x^2 + 3*c^6*d^14*x + 18*a*c^5*d^12*e^2*x + 45*a^2*c^4*d^10*e^4*x + 60*a^3*c^3*d^8*e^6*x + 45*a^4*c^2*d^6*e^8*x + 18*a^5*c*d^4*e^10*x + 3*a^6*d^2*e^12*x + c^6*d^15/e + 6*a*c^5*d^13*e + 15*a^2*c^4*d^11*e^3 + 20*a^3*c^3*d^9*e^5 + 15*a^4*c^2*d^7*e^7 + 6*a^5*c*d^5*e^9 + a^6*d^3*e^11) + 31/128*(c*x^2 + a)^(5/2)*c^6*d^5/(c^6*d^12*e^2*x + 6*a*c^5*d^10*e^4*x + 15*a^2*c^4*d^8*e^6*x + 20*a^3*c^3*d^6*e^8*x + 15*a^4*c^2*d^4*e^10*x + 6*a^5*c*d^2*e^12*x + a^6*e^14*x + c^6*d^13*e + 6*a*c^5*d^11*e^3 + 15*a^2*c^4*d^9*e^5 + 20*a^3*c^3*d^7*e^7 + 15*a^4*c^2*d^5*e^9 + 6*a^5*c*d^3*e^11 + a^6*d*e^13) + 35/32*sqrt(c*x^2 + a)*c^7*d^6/(c^5*d^10*e^5 + 5*a*c^4*d^8*e^7 + 10*a^2*c^3*d^6*e^9 + 10*a^3*c^2*d^4*e^11 + 5*a^4*c*d^2*e^13 + a^5*e^15) + 75/128*sqrt(c*x^2 + a)*c^7*d^5*x/(c^5*d^10*e^4 + 5*a*c^4*d^8*e^6 + 10*a^2*c^3*d^6*e^8 + 10*a^3*c^2*d^4*e^10 + 5*a^4*c*d^2*e^12 + a^5*e^14) + 255/128*c^7*d^5*arcsinh(c*x/sqrt(a*c))/(c^(9/2)*d^8*e^6 + 4*a*c^(7/2)*d^6*e^8 + 6*a^2*c^(5/2)*d^4*e^10 + 4*a^3*c^(3/2)*d^2*e^12 + a^4*sqrt(c)*e^14) - 55/384*(c*x^2 + a)^(7/2)*c^5*d^4/(c^6*d^12*e*x^2 + 6*a*c^5*d^10*e^3*x^2 + 15*a^2*c^4*d^8*e^5*x^2 + 20*a^3*c^3*d^6*e^7*x^2 + 15*a^4*c^2*d^4*e^9*x^2 + 6*a^5*c*d^2*e^11*x^2 + a^6*e^13*x^2 + 2*c^6*d^13*x + 12*a*c^5*d^11*e^2*x + 30*a^2*c^4*d^9*e^4*x + 40*a^3*c^3*d^7*e^6*x + 30*a^4*c^2*d^5*e^8*x + 12*a^5*c*d^3*e^10*x + 2*a^6*d*e^12*x + c^6*d^14/e + 6*a*c^5*d^12*e + 15*a^2*c^4*d^10*e^3 + 20*a^3*c^3*d^8*e^5 + 15*a^4*c^2*d^6*e^7 + 6*a^5*c*d^4*e^9 + a^6*d^2*e^11) + 55/384*(c*x^2 + a)^(5/2)*c^6*d^4/(c^6*d^12*e + 6*a*c^5*d^10*e^3 + 15*a^2*c^4*d^8*e^5 + 20*a^3*c^3*d^6*e^7 + 15*a^4*c^2*d^4*e^9 + 6*a^5*c*d^2*e^11 + a^6*e^13) - 9/64*(c*x^2 + a)^(7/2)*c^4*d^4/(c^5*d^10*e^3*x^4 + 5*a*c^4*d^8*e^5*x^4 + 10*a^2*c^3*d^6*e^7*x^4 + 10*a^3*c^2*d^4*e^9*x^4 + 5*a^4*c*d^2*e^11*x^4 + a^5*e^13*x^4 + 4*c^5*d^11*e^2*x^3 + 20*a*c^4*d^9*e^4*x^3 + 40*a^2*c^3*d^7*e^6*x^3 + 40*a^3*c^2*d^5*e^8*x^3 + 20*a^4*c*d^3*e^10*x^3 + 4*a^5*d*e^12*x^3 + 6*c^5*d^12*e*x^2 + 30*a*c^4*d^10*e^3*x^2 + 60*a^2*c^3*d^8*e^5*x^2 + 60*a^3*c^2*d^6*e^7*x^2 + 30*a^4*c*d^4*e^9*x^2 + 6*a^5*d^2*e^11*x^2 + 4*c^5*d^13*x + 20*a*c^4*d^11*e^2*x + 40*a^2*c^3*d^9*e^4*x + 40*a^3*c^2*d^7*e^6*x + 20*a^4*c*d^5*e^8*x + 4*a^5*d^3*e^10*x + c^5*d^14/e + 5*a*c^4*d^12*e + 10*a^2*c^3*d^10*e^3 + 10*a^3*c^2*d^8*e^5 + 5*a^4*c*d^6*e^7 + a^5*d^4*e^9) - 25/64*(c*x^2 + a)^(3/2)*c^6*d^4/(c^5*d^10*e^3 + 5*a*c^4*d^8*e^5 + 10*a^2*c^3*d^6*e^7 + 10*a^3*c^2*d^4*e^9 + 5*a^4*c*d^2*e^11 + a^5*e^13) + 155/384*(c*x^2 + a)^(3/2)*c^6*d^3*x/(c^5*d^10*e^2 + 5*a*c^4*d^8*e^4 + 10*a^2*c^3*d^6*e^6 + 10*a^3*c^2*d^4*e^8 + 5*a^4*c*d^2*e^10 + a^5*e^12) + 155/256*sqrt(c*x^2 + a)*a*c^6*d^3*x/(c^5*d^10*e^2 + 5*a*c^4*d^8*e^4 + 10*a^2*c^3*d^6*e^6 + 10*a^3*c^2*d^4*e^8 + 5*a^4*c*d^2*e^10 + a^5*e^12) + 85/128*a*c^6*d^3*arcsinh(c*x/sqrt(a*c))/(c^(9/2)*d^8*e^4 + 4*a*c^(7/2)*d^6*e^6 + 6*a^2*c^(5/2)*d^4*e^8 + 4*a^3*c^(3/2)*d^2*e^10 + a^4*sqrt(c)*e^12) - 13/96*(c*x^2 + a)^(7/2)*c^4*d^3/(c^5*d^10*e^2*x^3 + 5*a*c^4*d^8*e^4*x^3 + 10*a^2*c^3*d^6*e^6*x^3 + 10*a^3*c^2*d^4*e^8*x^3 + 5*a^4*c*d^2*e^10*x^3 + a^5*e^12*x^3 + 3*c^5*d^11*e*x^2 + 15*a*c^4*d^9*e^3*x^2 + 30*a^2*c^3*d^7*e^5*x^2 + 30*a^3*c^2*d^5*e^7*x^2 + 15*a^4*c*d^3*e^9*x^2 + 3*a^5*d*e^11*x^2 + 3*c^5*d^12*x + 15*a*c^4*d^10*e^2*x + 30*a^2*c^3*d^8*e^4*x + 30*a^3*c^2*d^6*e^6*x + 15*a^4*c*d^4*e^8*x + 3*a^5*d^2*e^10*x + c^5*d^13/e + 5*a*c^4*d^11*e + 10*a^2*c^3*d^9*e^3 + 10*a^3*c^2*d^7*e^5 + 5*a^4*c*d^5*e^7 + a^5*d^3*e^9) - 145/384*(c*x^2 + a)^(5/2)*c^5*d^3/(c^5*d^10*e^2*x + 5*a*c^4*d^8*e^4*x + 10*a^2*c^3*d^6*e^6*x + 10*a^3*c^2*d^4*e^8*x + 5*a^4*c*d^2*e^10*x + a^5*e^12*x + c^5*d^11*e + 5*a*c^4*d^9*e^3 + 10*a^2*c^3*d^7*e^5 + 10*a^3*c^2*d^5*e^7 + 5*a^4*c*d^3*e^9 + a^5*d*e^11) - 75/64*sqrt(c*x^2 + a)*c^6*d^4/(c^4*d^8*e^5 + 4*a*c^3*d^6*e^7 + 6*a^2*c^2*d^4*e^9 + 4*a^3*c*d^2*e^11 + a^4*e^13) - 15/64*sqrt(c*x^2 + a)*c^6*d^3*x/(c^4*d^8*e^4 + 4*a*c^3*d^6*e^6 + 6*a^2*c^2*d^4*e^8 + 4*a^3*c*d^2*e^10 + a^4*e^12) - 185/256*c^6*d^3*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^6 + 3*a*c^(5/2)*d^4*e^8 + 3*a^2*c^(3/2)*d^2*e^10 + a^3*sqrt(c)*e^12) - 7/128*(c*x^2 + a)^(7/2)*c^4*d^2/(c^5*d^10*e*x^2 + 5*a*c^4*d^8*e^3*x^2 + 10*a^2*c^3*d^6*e^5*x^2 + 10*a^3*c^2*d^4*e^7*x^2 + 5*a^4*c*d^2*e^9*x^2 + a^5*e^11*x^2 + 2*c^5*d^11*x + 10*a*c^4*d^9*e^2*x + 20*a^2*c^3*d^7*e^4*x + 20*a^3*c^2*d^5*e^6*x + 10*a^4*c*d^3*e^8*x + 2*a^5*d*e^10*x + c^5*d^12/e + 5*a*c^4*d^10*e + 10*a^2*c^3*d^8*e^3 + 10*a^3*c^2*d^6*e^5 + 5*a^4*c*d^4*e^7 + a^5*d^2*e^9) + 7/128*(c*x^2 + a)^(5/2)*c^5*d^2/(c^5*d^10*e + 5*a*c^4*d^8*e^3 + 10*a^2*c^3*d^6*e^5 + 10*a^3*c^2*d^4*e^7 + 5*a^4*c*d^2*e^9 + a^5*e^11) - 3/16*(c*x^2 + a)^(7/2)*c^3*d^3/(c^4*d^8*e^4*x^5 + 4*a*c^3*d^6*e^6*x^5 + 6*a^2*c^2*d^4*e^8*x^5 + 4*a^3*c*d^2*e^10*x^5 + a^4*e^12*x^5 + 5*c^4*d^9*e^3*x^4 + 20*a*c^3*d^7*e^5*x^4 + 30*a^2*c^2*d^5*e^7*x^4 + 20*a^3*c*d^3*e^9*x^4 + 5*a^4*d*e^11*x^4 + 10*c^4*d^10*e^2*x^3 + 40*a*c^3*d^8*e^4*x^3 + 60*a^2*c^2*d^6*e^6*x^3 + 40*a^3*c*d^4*e^8*x^3 + 10*a^4*d^2*e^10*x^3 + 10*c^4*d^11*e*x^2 + 40*a*c^3*d^9*e^3*x^2 + 60*a^2*c^2*d^7*e^5*x^2 + 40*a^3*c*d^5*e^7*x^2 + 10*a^4*d^3*e^9*x^2 + 5*c^4*d^12*x + 20*a*c^3*d^10*e^2*x + 30*a^2*c^2*d^8*e^4*x + 20*a^3*c*d^6*e^6*x + 5*a^4*d^4*e^8*x + c^4*d^13/e + 4*a*c^3*d^11*e + 6*a^2*c^2*d^9*e^3 + 4*a^3*c*d^7*e^5 + a^4*d^5*e^7) - 1/32*(c*x^2 + a)^(7/2)*c^3*d^2/(c^4*d^8*e^3*x^4 + 4*a*c^3*d^6*e^5*x^4 + 6*a^2*c^2*d^4*e^7*x^4 + 4*a^3*c*d^2*e^9*x^4 + a^4*e^11*x^4 + 4*c^4*d^9*e^2*x^3 + 16*a*c^3*d^7*e^4*x^3 + 24*a^2*c^2*d^5*e^6*x^3 + 16*a^3*c*d^3*e^8*x^3 + 4*a^4*d*e^10*x^3 + 6*c^4*d^10*e*x^2 + 24*a*c^3*d^8*e^3*x^2 + 36*a^2*c^2*d^6*e^5*x^2 + 24*a^3*c*d^4*e^7*x^2 + 6*a^4*d^2*e^9*x^2 + 4*c^4*d^11*x + 16*a*c^3*d^9*e^2*x + 24*a^2*c^2*d^7*e^4*x + 16*a^3*c*d^5*e^6*x + 4*a^4*d^3*e^8*x + c^4*d^12/e + 4*a*c^3*d^10*e + 6*a^2*c^2*d^8*e^3 + 4*a^3*c*d^6*e^5 + a^4*d^4*e^7) + 5/32*(c*x^2 + a)^(3/2)*c^5*d^2/(c^4*d^8*e^3 + 4*a*c^3*d^6*e^5 + 6*a^2*c^2*d^4*e^7 + 4*a^3*c*d^2*e^9 + a^4*e^11) - 5/128*(c*x^2 + a)^(3/2)*c^5*d*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) - 15/256*sqrt(c*x^2 + a)*a*c^5*d*x/(c^4*d^8*e^2 + 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 + 4*a^3*c*d^2*e^8 + a^4*e^10) - 15/256*a*c^5*d*arcsinh(c*x/sqrt(a*c))/(c^(7/2)*d^6*e^4 + 3*a*c^(5/2)*d^4*e^6 + 3*a^2*c^(3/2)*d^2*e^8 + a^3*sqrt(c)*e^10) + 1/64*(c*x^2 + a)^(7/2)*c^3*d/(c^4*d^8*e^2*x^3 + 4*a*c^3*d^6*e^4*x^3 + 6*a^2*c^2*d^4*e^6*x^3 + 4*a^3*c*d^2*e^8*x^3 + a^4*e^10*x^3 + 3*c^4*d^9*e*x^2 + 12*a*c^3*d^7*e^3*x^2 + 18*a^2*c^2*d^5*e^5*x^2 + 12*a^3*c*d^3*e^7*x^2 + 3*a^4*d*e^9*x^2 + 3*c^4*d^10*x + 12*a*c^3*d^8*e^2*x + 18*a^2*c^2*d^6*e^4*x + 12*a^3*c*d^4*e^6*x + 3*a^4*d^2*e^8*x + c^4*d^11/e + 4*a*c^3*d^9*e + 6*a^2*c^2*d^7*e^3 + 4*a^3*c*d^5*e^5 + a^4*d^3*e^7) + 5/128*(c*x^2 + a)^(5/2)*c^4*d/(c^4*d^8*e^2*x + 4*a*c^3*d^6*e^4*x + 6*a^2*c^2*d^4*e^6*x + 4*a^3*c*d^2*e^8*x + a^4*e^10*x + c^4*d^9*e + 4*a*c^3*d^7*e^3 + 6*a^2*c^2*d^5*e^5 + 4*a^3*c*d^3*e^7 + a^4*d*e^9) - 3/16*(c*x^2 + a)^(7/2)*c^2*d^2/(c^3*d^6*e^5*x^6 + 3*a*c^2*d^4*e^7*x^6 + 3*a^2*c*d^2*e^9*x^6 + a^3*e^11*x^6 + 6*c^3*d^7*e^4*x^5 + 18*a*c^2*d^5*e^6*x^5 + 18*a^2*c*d^3*e^8*x^5 + 6*a^3*d*e^10*x^5 + 15*c^3*d^8*e^3*x^4 + 45*a*c^2*d^6*e^5*x^4 + 45*a^2*c*d^4*e^7*x^4 + 15*a^3*d^2*e^9*x^4 + 20*c^3*d^9*e^2*x^3 + 60*a*c^2*d^7*e^4*x^3 + 60*a^2*c*d^5*e^6*x^3 + 20*a^3*d^3*e^8*x^3 + 15*c^3*d^10*e*x^2 + 45*a*c^2*d^8*e^3*x^2 + 45*a^2*c*d^6*e^5*x^2 + 15*a^3*d^4*e^7*x^2 + 6*c^3*d^11*x + 18*a*c^2*d^9*e^2*x + 18*a^2*c*d^7*e^4*x + 6*a^3*d^5*e^6*x + c^3*d^12/e + 3*a*c^2*d^10*e + 3*a^2*c*d^8*e^3 + a^3*d^6*e^5) + 15/32*sqrt(c*x^2 + a)*c^5*d^2/(c^3*d^6*e^5 + 3*a*c^2*d^4*e^7 + 3*a^2*c*d^2*e^9 + a^3*e^11) + 5/256*sqrt(c*x^2 + a)*c^5*d*x/(c^3*d^6*e^4 + 3*a*c^2*d^4*e^6 + 3*a^2*c*d^2*e^8 + a^3*e^10) + 15/256*c^5*d*arcsinh(c*x/sqrt(a*c))/(c^(5/2)*d^4*e^6 + 2*a*c^(3/2)*d^2*e^8 + a^2*sqrt(c)*e^10) + 1/128*(c*x^2 + a)^(7/2)*c^3/(c^4*d^8*e*x^2 + 4*a*c^3*d^6*e^3*x^2 + 6*a^2*c^2*d^4*e^5*x^2 + 4*a^3*c*d^2*e^7*x^2 + a^4*e^9*x^2 + 2*c^4*d^9*x + 8*a*c^3*d^7*e^2*x + 12*a^2*c^2*d^5*e^4*x + 8*a^3*c*d^3*e^6*x + 2*a^4*d*e^8*x + c^4*d^10/e + 4*a*c^3*d^8*e + 6*a^2*c^2*d^6*e^3 + 4*a^3*c*d^4*e^5 + a^4*d^2*e^7) - 1/128*(c*x^2 + a)^(5/2)*c^4/(c^4*d^8*e + 4*a*c^3*d^6*e^3 + 6*a^2*c^2*d^4*e^5 + 4*a^3*c*d^2*e^7 + a^4*e^9) + 1/48*(c*x^2 + a)^(7/2)*c^2*d/(c^3*d^6*e^4*x^5 + 3*a*c^2*d^4*e^6*x^5 + 3*a^2*c*d^2*e^8*x^5 + a^3*e^10*x^5 + 5*c^3*d^7*e^3*x^4 + 15*a*c^2*d^5*e^5*x^4 + 15*a^2*c*d^3*e^7*x^4 + 5*a^3*d*e^9*x^4 + 10*c^3*d^8*e^2*x^3 + 30*a*c^2*d^6*e^4*x^3 + 30*a^2*c*d^4*e^6*x^3 + 10*a^3*d^2*e^8*x^3 + 10*c^3*d^9*e*x^2 + 30*a*c^2*d^7*e^3*x^2 + 30*a^2*c*d^5*e^5*x^2 + 10*a^3*d^3*e^7*x^2 + 5*c^3*d^10*x + 15*a*c^2*d^8*e^2*x + 15*a^2*c*d^6*e^4*x + 5*a^3*d^4*e^6*x + c^3*d^11/e + 3*a*c^2*d^9*e + 3*a^2*c*d^7*e^3 + a^3*d^5*e^5) + 1/192*(c*x^2 + a)^(7/2)*c^2/(c^3*d^6*e^3*x^4 + 3*a*c^2*d^4*e^5*x^4 + 3*a^2*c*d^2*e^7*x^4 + a^3*e^9*x^4 + 4*c^3*d^7*e^2*x^3 + 12*a*c^2*d^5*e^4*x^3 + 12*a^2*c*d^3*e^6*x^3 + 4*a^3*d*e^8*x^3 + 6*c^3*d^8*e*x^2 + 18*a*c^2*d^6*e^3*x^2 + 18*a^2*c*d^4*e^5*x^2 + 6*a^3*d^2*e^7*x^2 + 4*c^3*d^9*x + 12*a*c^2*d^7*e^2*x + 12*a^2*c*d^5*e^4*x + 4*a^3*d^3*e^6*x + c^3*d^10/e + 3*a*c^2*d^8*e + 3*a^2*c*d^6*e^3 + a^3*d^4*e^5) - 5/384*(c*x^2 + a)^(3/2)*c^4/(c^3*d^6*e^3 + 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 + a^3*e^9) - 9/56*(c*x^2 + a)^(7/2)*c*d/(c^2*d^4*e^6*x^7 + 2*a*c*d^2*e^8*x^7 + a^2*e^10*x^7 + 7*c^2*d^5*e^5*x^6 + 14*a*c*d^3*e^7*x^6 + 7*a^2*d*e^9*x^6 + 21*c^2*d^6*e^4*x^5 + 42*a*c*d^4*e^6*x^5 + 21*a^2*d^2*e^8*x^5 + 35*c^2*d^7*e^3*x^4 + 70*a*c*d^5*e^5*x^4 + 35*a^2*d^3*e^7*x^4 + 35*c^2*d^8*e^2*x^3 + 70*a*c*d^6*e^4*x^3 + 35*a^2*d^4*e^6*x^3 + 21*c^2*d^9*e*x^2 + 42*a*c*d^7*e^3*x^2 + 21*a^2*d^5*e^5*x^2 + 7*c^2*d^10*x + 14*a*c*d^8*e^2*x + 7*a^2*d^6*e^4*x + c^2*d^11/e + 2*a*c*d^9*e + a^2*d^7*e^3) + 1/48*(c*x^2 + a)^(7/2)*c/(c^2*d^4*e^5*x^6 + 2*a*c*d^2*e^7*x^6 + a^2*e^9*x^6 + 6*c^2*d^5*e^4*x^5 + 12*a*c*d^3*e^6*x^5 + 6*a^2*d*e^8*x^5 + 15*c^2*d^6*e^3*x^4 + 30*a*c*d^4*e^5*x^4 + 15*a^2*d^2*e^7*x^4 + 20*c^2*d^7*e^2*x^3 + 40*a*c*d^5*e^4*x^3 + 20*a^2*d^3*e^6*x^3 + 15*c^2*d^8*e*x^2 + 30*a*c*d^6*e^3*x^2 + 15*a^2*d^4*e^5*x^2 + 6*c^2*d^9*x + 12*a*c*d^7*e^2*x + 6*a^2*d^5*e^4*x + c^2*d^10/e + 2*a*c*d^8*e + a^2*d^6*e^3) - 5/128*sqrt(c*x^2 + a)*c^4/(c^2*d^4*e^5 + 2*a*c*d^2*e^7 + a^2*e^9) - 1/8*(c*x^2 + a)^(7/2)/(c*d^2*e^7*x^8 + a*e^9*x^8 + 8*c*d^3*e^6*x^7 + 8*a*d*e^8*x^7 + 28*c*d^4*e^5*x^6 + 28*a*d^2*e^7*x^6 + 56*c*d^5*e^4*x^5 + 56*a*d^3*e^6*x^5 + 70*c*d^6*e^3*x^4 + 70*a*d^4*e^5*x^4 + 56*c*d^7*e^2*x^3 + 56*a*d^5*e^4*x^3 + 28*c*d^8*e*x^2 + 28*a*d^6*e^3*x^2 + 8*c*d^9*x + 8*a*d^7*e^2*x + c*d^10/e + a*d^8*e) - 45/128*c^8*d^8*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(11/2)*e^17) + 35/32*c^7*d^6*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(9/2)*e^15) - 75/64*c^6*d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^13) + 15/32*c^5*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^11) - 5/128*c^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^9)","B",0
558,1,53,0,2.994518," ","integrate((x^2+2)^(1/2)/(1+4*x),x, algorithm=""maxima"")","\frac{1}{16} \, \sqrt{33} \operatorname{arsinh}\left(\frac{\sqrt{2} x}{2 \, {\left| 4 \, x + 1 \right|}} - \frac{4 \, \sqrt{2}}{{\left| 4 \, x + 1 \right|}}\right) + \frac{1}{4} \, \sqrt{x^{2} + 2} - \frac{1}{16} \, \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{2} x\right)"," ",0,"1/16*sqrt(33)*arcsinh(1/2*sqrt(2)*x/abs(4*x + 1) - 4*sqrt(2)/abs(4*x + 1)) + 1/4*sqrt(x^2 + 2) - 1/16*arcsinh(1/2*sqrt(2)*x)","A",0
559,1,54,0,3.043589," ","integrate((4*x^2+2)^(1/2)/(5+4*x),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{33} \operatorname{arsinh}\left(\frac{5 \, \sqrt{2} x}{{\left| 4 \, x + 5 \right|}} - \frac{2 \, \sqrt{2}}{{\left| 4 \, x + 5 \right|}}\right) + \frac{1}{4} \, \sqrt{4 \, x^{2} + 2} - \frac{5}{8} \, \operatorname{arsinh}\left(\sqrt{2} x\right)"," ",0,"1/8*sqrt(33)*arcsinh(5*sqrt(2)*x/abs(4*x + 5) - 2*sqrt(2)/abs(4*x + 5)) + 1/4*sqrt(4*x^2 + 2) - 5/8*arcsinh(sqrt(2)*x)","A",0
560,1,47,0,2.846066," ","integrate((2+3*x)*(7*x^2-5)^(1/2),x, algorithm=""maxima"")","\frac{1}{7} \, {\left(7 \, x^{2} - 5\right)}^{\frac{3}{2}} + \sqrt{7 \, x^{2} - 5} x - \frac{5}{7} \, \sqrt{7} \log\left(2 \, \sqrt{7} \sqrt{7 \, x^{2} - 5} + 14 \, x\right)"," ",0,"1/7*(7*x^2 - 5)^(3/2) + sqrt(7*x^2 - 5)*x - 5/7*sqrt(7)*log(2*sqrt(7)*sqrt(7*x^2 - 5) + 14*x)","A",0
561,1,176,0,1.369775," ","integrate((e*x+d)^4/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} e^{4} x^{3}}{4 \, c} + \frac{4 \, \sqrt{c x^{2} + a} d e^{3} x^{2}}{3 \, c} + \frac{3 \, \sqrt{c x^{2} + a} d^{2} e^{2} x}{c} - \frac{3 \, \sqrt{c x^{2} + a} a e^{4} x}{8 \, c^{2}} + \frac{d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c}} - \frac{3 \, a d^{2} e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}}} + \frac{3 \, a^{2} e^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, c^{\frac{5}{2}}} + \frac{4 \, \sqrt{c x^{2} + a} d^{3} e}{c} - \frac{8 \, \sqrt{c x^{2} + a} a d e^{3}}{3 \, c^{2}}"," ",0,"1/4*sqrt(c*x^2 + a)*e^4*x^3/c + 4/3*sqrt(c*x^2 + a)*d*e^3*x^2/c + 3*sqrt(c*x^2 + a)*d^2*e^2*x/c - 3/8*sqrt(c*x^2 + a)*a*e^4*x/c^2 + d^4*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 3*a*d^2*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 3/8*a^2*e^4*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 4*sqrt(c*x^2 + a)*d^3*e/c - 8/3*sqrt(c*x^2 + a)*a*d*e^3/c^2","A",0
562,1,111,0,1.369583," ","integrate((e*x+d)^3/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} e^{3} x^{2}}{3 \, c} + \frac{3 \, \sqrt{c x^{2} + a} d e^{2} x}{2 \, c} + \frac{d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c}} - \frac{3 \, a d e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{3}{2}}} + \frac{3 \, \sqrt{c x^{2} + a} d^{2} e}{c} - \frac{2 \, \sqrt{c x^{2} + a} a e^{3}}{3 \, c^{2}}"," ",0,"1/3*sqrt(c*x^2 + a)*e^3*x^2/c + 3/2*sqrt(c*x^2 + a)*d*e^2*x/c + d^3*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 3/2*a*d*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 3*sqrt(c*x^2 + a)*d^2*e/c - 2/3*sqrt(c*x^2 + a)*a*e^3/c^2","A",0
563,1,69,0,1.356597," ","integrate((e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} e^{2} x}{2 \, c} + \frac{d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c}} - \frac{a e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{3}{2}}} + \frac{2 \, \sqrt{c x^{2} + a} d e}{c}"," ",0,"1/2*sqrt(c*x^2 + a)*e^2*x/c + d^2*arcsinh(c*x/sqrt(a*c))/sqrt(c) - 1/2*a*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 2*sqrt(c*x^2 + a)*d*e/c","A",0
564,1,29,0,1.366176," ","integrate((e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c}} + \frac{\sqrt{c x^{2} + a} e}{c}"," ",0,"d*arcsinh(c*x/sqrt(a*c))/sqrt(c) + sqrt(c*x^2 + a)*e/c","A",0
565,1,52,0,1.456135," ","integrate(1/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e}"," ",0,"arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e)","A",0
566,1,93,0,1.514215," ","integrate(1/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a}}{c d^{2} x + a e^{2} x + \frac{c d^{3}}{e} + a d e} + \frac{c d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{3}}"," ",0,"-sqrt(c*x^2 + a)/(c*d^2*x + a*e^2*x + c*d^3/e + a*d*e) + c*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^3)","A",0
567,1,243,0,1.643351," ","integrate(1/(e*x+d)^3/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, \sqrt{c x^{2} + a} c d}{2 \, {\left(c^{2} d^{4} x + 2 \, a c d^{2} e^{2} x + a^{2} e^{4} x + \frac{c^{2} d^{5}}{e} + 2 \, a c d^{3} e + a^{2} d e^{3}\right)}} - \frac{\sqrt{c x^{2} + a}}{2 \, {\left(c d^{2} e x^{2} + a e^{3} x^{2} + 2 \, c d^{3} x + 2 \, a d e^{2} x + \frac{c d^{4}}{e} + a d^{2} e\right)}} + \frac{3 \, c^{2} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{5}} - \frac{c \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{3}}"," ",0,"-3/2*sqrt(c*x^2 + a)*c*d/(c^2*d^4*x + 2*a*c*d^2*e^2*x + a^2*e^4*x + c^2*d^5/e + 2*a*c*d^3*e + a^2*d*e^3) - 1/2*sqrt(c*x^2 + a)/(c*d^2*e*x^2 + a*e^3*x^2 + 2*c*d^3*x + 2*a*d*e^2*x + c*d^4/e + a*d^2*e) + 3/2*c^2*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^5) - 1/2*c*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^3)","A",0
568,1,479,0,1.831012," ","integrate(1/(e*x+d)^4/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{5 \, \sqrt{c x^{2} + a} c^{2} d^{2}}{2 \, {\left(c^{3} d^{6} x + 3 \, a c^{2} d^{4} e^{2} x + 3 \, a^{2} c d^{2} e^{4} x + a^{3} e^{6} x + \frac{c^{3} d^{7}}{e} + 3 \, a c^{2} d^{5} e + 3 \, a^{2} c d^{3} e^{3} + a^{3} d e^{5}\right)}} - \frac{5 \, \sqrt{c x^{2} + a} c d}{6 \, {\left(c^{2} d^{4} e x^{2} + 2 \, a c d^{2} e^{3} x^{2} + a^{2} e^{5} x^{2} + 2 \, c^{2} d^{5} x + 4 \, a c d^{3} e^{2} x + 2 \, a^{2} d e^{4} x + \frac{c^{2} d^{6}}{e} + 2 \, a c d^{4} e + a^{2} d^{2} e^{3}\right)}} + \frac{2 \, \sqrt{c x^{2} + a} c}{3 \, {\left(c^{2} d^{4} x + 2 \, a c d^{2} e^{2} x + a^{2} e^{4} x + \frac{c^{2} d^{5}}{e} + 2 \, a c d^{3} e + a^{2} d e^{3}\right)}} - \frac{\sqrt{c x^{2} + a}}{3 \, {\left(c d^{2} e^{2} x^{3} + a e^{4} x^{3} + 3 \, c d^{3} e x^{2} + 3 \, a d e^{3} x^{2} + 3 \, c d^{4} x + 3 \, a d^{2} e^{2} x + \frac{c d^{5}}{e} + a d^{3} e\right)}} + \frac{5 \, c^{3} d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{7}} - \frac{3 \, c^{2} d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{5}}"," ",0,"-5/2*sqrt(c*x^2 + a)*c^2*d^2/(c^3*d^6*x + 3*a*c^2*d^4*e^2*x + 3*a^2*c*d^2*e^4*x + a^3*e^6*x + c^3*d^7/e + 3*a*c^2*d^5*e + 3*a^2*c*d^3*e^3 + a^3*d*e^5) - 5/6*sqrt(c*x^2 + a)*c*d/(c^2*d^4*e*x^2 + 2*a*c*d^2*e^3*x^2 + a^2*e^5*x^2 + 2*c^2*d^5*x + 4*a*c*d^3*e^2*x + 2*a^2*d*e^4*x + c^2*d^6/e + 2*a*c*d^4*e + a^2*d^2*e^3) + 2/3*sqrt(c*x^2 + a)*c/(c^2*d^4*x + 2*a*c*d^2*e^2*x + a^2*e^4*x + c^2*d^5/e + 2*a*c*d^3*e + a^2*d*e^3) - 1/3*sqrt(c*x^2 + a)/(c*d^2*e^2*x^3 + a*e^4*x^3 + 3*c*d^3*e*x^2 + 3*a*d*e^3*x^2 + 3*c*d^4*x + 3*a*d^2*e^2*x + c*d^5/e + a*d^3*e) + 5/2*c^3*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^7) - 3/2*c^2*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^5)","B",0
569,1,174,0,1.355773," ","integrate((e*x+d)^4/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{e^{4} x^{3}}{2 \, \sqrt{c x^{2} + a} c} + \frac{4 \, d e^{3} x^{2}}{\sqrt{c x^{2} + a} c} + \frac{d^{4} x}{\sqrt{c x^{2} + a} a} - \frac{6 \, d^{2} e^{2} x}{\sqrt{c x^{2} + a} c} + \frac{3 \, a e^{4} x}{2 \, \sqrt{c x^{2} + a} c^{2}} + \frac{6 \, d^{2} e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}}} - \frac{3 \, a e^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{5}{2}}} - \frac{4 \, d^{3} e}{\sqrt{c x^{2} + a} c} + \frac{8 \, a d e^{3}}{\sqrt{c x^{2} + a} c^{2}}"," ",0,"1/2*e^4*x^3/(sqrt(c*x^2 + a)*c) + 4*d*e^3*x^2/(sqrt(c*x^2 + a)*c) + d^4*x/(sqrt(c*x^2 + a)*a) - 6*d^2*e^2*x/(sqrt(c*x^2 + a)*c) + 3/2*a*e^4*x/(sqrt(c*x^2 + a)*c^2) + 6*d^2*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) - 3/2*a*e^4*arcsinh(c*x/sqrt(a*c))/c^(5/2) - 4*d^3*e/(sqrt(c*x^2 + a)*c) + 8*a*d*e^3/(sqrt(c*x^2 + a)*c^2)","A",0
570,1,110,0,1.374135," ","integrate((e*x+d)^3/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{e^{3} x^{2}}{\sqrt{c x^{2} + a} c} + \frac{d^{3} x}{\sqrt{c x^{2} + a} a} - \frac{3 \, d e^{2} x}{\sqrt{c x^{2} + a} c} + \frac{3 \, d e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}}} - \frac{3 \, d^{2} e}{\sqrt{c x^{2} + a} c} + \frac{2 \, a e^{3}}{\sqrt{c x^{2} + a} c^{2}}"," ",0,"e^3*x^2/(sqrt(c*x^2 + a)*c) + d^3*x/(sqrt(c*x^2 + a)*a) - 3*d*e^2*x/(sqrt(c*x^2 + a)*c) + 3*d*e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) - 3*d^2*e/(sqrt(c*x^2 + a)*c) + 2*a*e^3/(sqrt(c*x^2 + a)*c^2)","A",0
571,1,68,0,1.387888," ","integrate((e*x+d)^2/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{d^{2} x}{\sqrt{c x^{2} + a} a} - \frac{e^{2} x}{\sqrt{c x^{2} + a} c} + \frac{e^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}}} - \frac{2 \, d e}{\sqrt{c x^{2} + a} c}"," ",0,"d^2*x/(sqrt(c*x^2 + a)*a) - e^2*x/(sqrt(c*x^2 + a)*c) + e^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) - 2*d*e/(sqrt(c*x^2 + a)*c)","A",0
572,1,31,0,1.345977," ","integrate((e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{d x}{\sqrt{c x^{2} + a} a} - \frac{e}{\sqrt{c x^{2} + a} c}"," ",0,"d*x/(sqrt(c*x^2 + a)*a) - e/(sqrt(c*x^2 + a)*c)","A",0
573,1,123,0,1.566560," ","integrate(1/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{c d x}{\sqrt{c x^{2} + a} a c d^{2} + \sqrt{c x^{2} + a} a^{2} e^{2}} + \frac{1}{\frac{\sqrt{c x^{2} + a} c d^{2}}{e} + \sqrt{c x^{2} + a} a e} + \frac{\operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e}"," ",0,"c*d*x/(sqrt(c*x^2 + a)*a*c*d^2 + sqrt(c*x^2 + a)*a^2*e^2) + 1/(sqrt(c*x^2 + a)*c*d^2/e + sqrt(c*x^2 + a)*a*e) + arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e)","A",0
574,1,284,0,1.815293," ","integrate(1/(e*x+d)^2/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{3 \, c^{2} d^{2} x}{\sqrt{c x^{2} + a} a c^{2} d^{4} + 2 \, \sqrt{c x^{2} + a} a^{2} c d^{2} e^{2} + \sqrt{c x^{2} + a} a^{3} e^{4}} + \frac{3 \, c d}{\frac{\sqrt{c x^{2} + a} c^{2} d^{4}}{e} + 2 \, \sqrt{c x^{2} + a} a c d^{2} e + \sqrt{c x^{2} + a} a^{2} e^{3}} - \frac{2 \, c x}{\sqrt{c x^{2} + a} a c d^{2} + \sqrt{c x^{2} + a} a^{2} e^{2}} - \frac{1}{\sqrt{c x^{2} + a} c d^{2} x + \sqrt{c x^{2} + a} a e^{2} x + \frac{\sqrt{c x^{2} + a} c d^{3}}{e} + \sqrt{c x^{2} + a} a d e} + \frac{3 \, c d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{3}}"," ",0,"3*c^2*d^2*x/(sqrt(c*x^2 + a)*a*c^2*d^4 + 2*sqrt(c*x^2 + a)*a^2*c*d^2*e^2 + sqrt(c*x^2 + a)*a^3*e^4) + 3*c*d/(sqrt(c*x^2 + a)*c^2*d^4/e + 2*sqrt(c*x^2 + a)*a*c*d^2*e + sqrt(c*x^2 + a)*a^2*e^3) - 2*c*x/(sqrt(c*x^2 + a)*a*c*d^2 + sqrt(c*x^2 + a)*a^2*e^2) - 1/(sqrt(c*x^2 + a)*c*d^2*x + sqrt(c*x^2 + a)*a*e^2*x + sqrt(c*x^2 + a)*c*d^3/e + sqrt(c*x^2 + a)*a*d*e) + 3*c*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^3)","A",0
575,1,630,0,1.967605," ","integrate(1/(e*x+d)^3/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{15 \, c^{3} d^{3} x}{2 \, {\left(\sqrt{c x^{2} + a} a c^{3} d^{6} + 3 \, \sqrt{c x^{2} + a} a^{2} c^{2} d^{4} e^{2} + 3 \, \sqrt{c x^{2} + a} a^{3} c d^{2} e^{4} + \sqrt{c x^{2} + a} a^{4} e^{6}\right)}} + \frac{15 \, c^{2} d^{2}}{2 \, {\left(\frac{\sqrt{c x^{2} + a} c^{3} d^{6}}{e} + 3 \, \sqrt{c x^{2} + a} a c^{2} d^{4} e + 3 \, \sqrt{c x^{2} + a} a^{2} c d^{2} e^{3} + \sqrt{c x^{2} + a} a^{3} e^{5}\right)}} - \frac{13 \, c^{2} d x}{2 \, {\left(\sqrt{c x^{2} + a} a c^{2} d^{4} + 2 \, \sqrt{c x^{2} + a} a^{2} c d^{2} e^{2} + \sqrt{c x^{2} + a} a^{3} e^{4}\right)}} - \frac{5 \, c d}{2 \, {\left(\sqrt{c x^{2} + a} c^{2} d^{4} x + 2 \, \sqrt{c x^{2} + a} a c d^{2} e^{2} x + \sqrt{c x^{2} + a} a^{2} e^{4} x + \frac{\sqrt{c x^{2} + a} c^{2} d^{5}}{e} + 2 \, \sqrt{c x^{2} + a} a c d^{3} e + \sqrt{c x^{2} + a} a^{2} d e^{3}\right)}} - \frac{3 \, c}{2 \, {\left(\frac{\sqrt{c x^{2} + a} c^{2} d^{4}}{e} + 2 \, \sqrt{c x^{2} + a} a c d^{2} e + \sqrt{c x^{2} + a} a^{2} e^{3}\right)}} - \frac{1}{2 \, {\left(\sqrt{c x^{2} + a} c d^{2} e x^{2} + \sqrt{c x^{2} + a} a e^{3} x^{2} + 2 \, \sqrt{c x^{2} + a} c d^{3} x + 2 \, \sqrt{c x^{2} + a} a d e^{2} x + \frac{\sqrt{c x^{2} + a} c d^{4}}{e} + \sqrt{c x^{2} + a} a d^{2} e\right)}} + \frac{15 \, c^{2} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{5}} - \frac{3 \, c \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e^{3}}"," ",0,"15/2*c^3*d^3*x/(sqrt(c*x^2 + a)*a*c^3*d^6 + 3*sqrt(c*x^2 + a)*a^2*c^2*d^4*e^2 + 3*sqrt(c*x^2 + a)*a^3*c*d^2*e^4 + sqrt(c*x^2 + a)*a^4*e^6) + 15/2*c^2*d^2/(sqrt(c*x^2 + a)*c^3*d^6/e + 3*sqrt(c*x^2 + a)*a*c^2*d^4*e + 3*sqrt(c*x^2 + a)*a^2*c*d^2*e^3 + sqrt(c*x^2 + a)*a^3*e^5) - 13/2*c^2*d*x/(sqrt(c*x^2 + a)*a*c^2*d^4 + 2*sqrt(c*x^2 + a)*a^2*c*d^2*e^2 + sqrt(c*x^2 + a)*a^3*e^4) - 5/2*c*d/(sqrt(c*x^2 + a)*c^2*d^4*x + 2*sqrt(c*x^2 + a)*a*c*d^2*e^2*x + sqrt(c*x^2 + a)*a^2*e^4*x + sqrt(c*x^2 + a)*c^2*d^5/e + 2*sqrt(c*x^2 + a)*a*c*d^3*e + sqrt(c*x^2 + a)*a^2*d*e^3) - 3/2*c/(sqrt(c*x^2 + a)*c^2*d^4/e + 2*sqrt(c*x^2 + a)*a*c*d^2*e + sqrt(c*x^2 + a)*a^2*e^3) - 1/2/(sqrt(c*x^2 + a)*c*d^2*e*x^2 + sqrt(c*x^2 + a)*a*e^3*x^2 + 2*sqrt(c*x^2 + a)*c*d^3*x + 2*sqrt(c*x^2 + a)*a*d*e^2*x + sqrt(c*x^2 + a)*c*d^4/e + sqrt(c*x^2 + a)*a*d^2*e) + 15/2*c^2*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^5) - 3/2*c*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e^3)","B",0
576,1,1179,0,2.328056," ","integrate(1/(e*x+d)^4/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{35 \, c^{4} d^{4} x}{2 \, {\left(\sqrt{c x^{2} + a} a c^{4} d^{8} + 4 \, \sqrt{c x^{2} + a} a^{2} c^{3} d^{6} e^{2} + 6 \, \sqrt{c x^{2} + a} a^{3} c^{2} d^{4} e^{4} + 4 \, \sqrt{c x^{2} + a} a^{4} c d^{2} e^{6} + \sqrt{c x^{2} + a} a^{5} e^{8}\right)}} + \frac{35 \, c^{3} d^{3}}{2 \, {\left(\frac{\sqrt{c x^{2} + a} c^{4} d^{8}}{e} + 4 \, \sqrt{c x^{2} + a} a c^{3} d^{6} e + 6 \, \sqrt{c x^{2} + a} a^{2} c^{2} d^{4} e^{3} + 4 \, \sqrt{c x^{2} + a} a^{3} c d^{2} e^{5} + \sqrt{c x^{2} + a} a^{4} e^{7}\right)}} - \frac{115 \, c^{3} d^{2} x}{6 \, {\left(\sqrt{c x^{2} + a} a c^{3} d^{6} + 3 \, \sqrt{c x^{2} + a} a^{2} c^{2} d^{4} e^{2} + 3 \, \sqrt{c x^{2} + a} a^{3} c d^{2} e^{4} + \sqrt{c x^{2} + a} a^{4} e^{6}\right)}} - \frac{35 \, c^{2} d^{2}}{6 \, {\left(\sqrt{c x^{2} + a} c^{3} d^{6} x + 3 \, \sqrt{c x^{2} + a} a c^{2} d^{4} e^{2} x + 3 \, \sqrt{c x^{2} + a} a^{2} c d^{2} e^{4} x + \sqrt{c x^{2} + a} a^{3} e^{6} x + \frac{\sqrt{c x^{2} + a} c^{3} d^{7}}{e} + 3 \, \sqrt{c x^{2} + a} a c^{2} d^{5} e + 3 \, \sqrt{c x^{2} + a} a^{2} c d^{3} e^{3} + \sqrt{c x^{2} + a} a^{3} d e^{5}\right)}} - \frac{15 \, c^{2} d}{2 \, {\left(\frac{\sqrt{c x^{2} + a} c^{3} d^{6}}{e} + 3 \, \sqrt{c x^{2} + a} a c^{2} d^{4} e + 3 \, \sqrt{c x^{2} + a} a^{2} c d^{2} e^{3} + \sqrt{c x^{2} + a} a^{3} e^{5}\right)}} + \frac{8 \, c^{2} x}{3 \, {\left(\sqrt{c x^{2} + a} a c^{2} d^{4} + 2 \, \sqrt{c x^{2} + a} a^{2} c d^{2} e^{2} + \sqrt{c x^{2} + a} a^{3} e^{4}\right)}} - \frac{7 \, c d}{6 \, {\left(\sqrt{c x^{2} + a} c^{2} d^{4} e x^{2} + 2 \, \sqrt{c x^{2} + a} a c d^{2} e^{3} x^{2} + \sqrt{c x^{2} + a} a^{2} e^{5} x^{2} + 2 \, \sqrt{c x^{2} + a} c^{2} d^{5} x + 4 \, \sqrt{c x^{2} + a} a c d^{3} e^{2} x + 2 \, \sqrt{c x^{2} + a} a^{2} d e^{4} x + \frac{\sqrt{c x^{2} + a} c^{2} d^{6}}{e} + 2 \, \sqrt{c x^{2} + a} a c d^{4} e + \sqrt{c x^{2} + a} a^{2} d^{2} e^{3}\right)}} + \frac{4 \, c}{3 \, {\left(\sqrt{c x^{2} + a} c^{2} d^{4} x + 2 \, \sqrt{c x^{2} + a} a c d^{2} e^{2} x + \sqrt{c x^{2} + a} a^{2} e^{4} x + \frac{\sqrt{c x^{2} + a} c^{2} d^{5}}{e} + 2 \, \sqrt{c x^{2} + a} a c d^{3} e + \sqrt{c x^{2} + a} a^{2} d e^{3}\right)}} - \frac{1}{3 \, {\left(\sqrt{c x^{2} + a} c d^{2} e^{2} x^{3} + \sqrt{c x^{2} + a} a e^{4} x^{3} + 3 \, \sqrt{c x^{2} + a} c d^{3} e x^{2} + 3 \, \sqrt{c x^{2} + a} a d e^{3} x^{2} + 3 \, \sqrt{c x^{2} + a} c d^{4} x + 3 \, \sqrt{c x^{2} + a} a d^{2} e^{2} x + \frac{\sqrt{c x^{2} + a} c d^{5}}{e} + \sqrt{c x^{2} + a} a d^{3} e\right)}} + \frac{35 \, c^{3} d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{9}{2}} e^{7}} - \frac{15 \, c^{2} d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{5}}"," ",0,"35/2*c^4*d^4*x/(sqrt(c*x^2 + a)*a*c^4*d^8 + 4*sqrt(c*x^2 + a)*a^2*c^3*d^6*e^2 + 6*sqrt(c*x^2 + a)*a^3*c^2*d^4*e^4 + 4*sqrt(c*x^2 + a)*a^4*c*d^2*e^6 + sqrt(c*x^2 + a)*a^5*e^8) + 35/2*c^3*d^3/(sqrt(c*x^2 + a)*c^4*d^8/e + 4*sqrt(c*x^2 + a)*a*c^3*d^6*e + 6*sqrt(c*x^2 + a)*a^2*c^2*d^4*e^3 + 4*sqrt(c*x^2 + a)*a^3*c*d^2*e^5 + sqrt(c*x^2 + a)*a^4*e^7) - 115/6*c^3*d^2*x/(sqrt(c*x^2 + a)*a*c^3*d^6 + 3*sqrt(c*x^2 + a)*a^2*c^2*d^4*e^2 + 3*sqrt(c*x^2 + a)*a^3*c*d^2*e^4 + sqrt(c*x^2 + a)*a^4*e^6) - 35/6*c^2*d^2/(sqrt(c*x^2 + a)*c^3*d^6*x + 3*sqrt(c*x^2 + a)*a*c^2*d^4*e^2*x + 3*sqrt(c*x^2 + a)*a^2*c*d^2*e^4*x + sqrt(c*x^2 + a)*a^3*e^6*x + sqrt(c*x^2 + a)*c^3*d^7/e + 3*sqrt(c*x^2 + a)*a*c^2*d^5*e + 3*sqrt(c*x^2 + a)*a^2*c*d^3*e^3 + sqrt(c*x^2 + a)*a^3*d*e^5) - 15/2*c^2*d/(sqrt(c*x^2 + a)*c^3*d^6/e + 3*sqrt(c*x^2 + a)*a*c^2*d^4*e + 3*sqrt(c*x^2 + a)*a^2*c*d^2*e^3 + sqrt(c*x^2 + a)*a^3*e^5) + 8/3*c^2*x/(sqrt(c*x^2 + a)*a*c^2*d^4 + 2*sqrt(c*x^2 + a)*a^2*c*d^2*e^2 + sqrt(c*x^2 + a)*a^3*e^4) - 7/6*c*d/(sqrt(c*x^2 + a)*c^2*d^4*e*x^2 + 2*sqrt(c*x^2 + a)*a*c*d^2*e^3*x^2 + sqrt(c*x^2 + a)*a^2*e^5*x^2 + 2*sqrt(c*x^2 + a)*c^2*d^5*x + 4*sqrt(c*x^2 + a)*a*c*d^3*e^2*x + 2*sqrt(c*x^2 + a)*a^2*d*e^4*x + sqrt(c*x^2 + a)*c^2*d^6/e + 2*sqrt(c*x^2 + a)*a*c*d^4*e + sqrt(c*x^2 + a)*a^2*d^2*e^3) + 4/3*c/(sqrt(c*x^2 + a)*c^2*d^4*x + 2*sqrt(c*x^2 + a)*a*c*d^2*e^2*x + sqrt(c*x^2 + a)*a^2*e^4*x + sqrt(c*x^2 + a)*c^2*d^5/e + 2*sqrt(c*x^2 + a)*a*c*d^3*e + sqrt(c*x^2 + a)*a^2*d*e^3) - 1/3/(sqrt(c*x^2 + a)*c*d^2*e^2*x^3 + sqrt(c*x^2 + a)*a*e^4*x^3 + 3*sqrt(c*x^2 + a)*c*d^3*e*x^2 + 3*sqrt(c*x^2 + a)*a*d*e^3*x^2 + 3*sqrt(c*x^2 + a)*c*d^4*x + 3*sqrt(c*x^2 + a)*a*d^2*e^2*x + sqrt(c*x^2 + a)*c*d^5/e + sqrt(c*x^2 + a)*a*d^3*e) + 35/2*c^3*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(9/2)*e^7) - 15/2*c^2*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^5)","B",0
577,1,281,0,1.431575," ","integrate((e*x+d)^5/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{5}{3} \, d e^{4} x {\left(\frac{3 \, x^{2}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{2 \, a}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}}\right)} + \frac{e^{5} x^{4}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} - \frac{10 \, d^{2} e^{3} x^{2}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{4 \, a e^{5} x^{2}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}} + \frac{2 \, d^{5} x}{3 \, \sqrt{c x^{2} + a} a^{2}} + \frac{d^{5} x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a} - \frac{10 \, d^{3} e^{2} x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{10 \, d^{3} e^{2} x}{3 \, \sqrt{c x^{2} + a} a c} - \frac{5 \, d e^{4} x}{3 \, \sqrt{c x^{2} + a} c^{2}} + \frac{5 \, d e^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{5}{2}}} - \frac{5 \, d^{4} e}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c} - \frac{20 \, a d^{2} e^{3}}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}} + \frac{8 \, a^{2} e^{5}}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3}}"," ",0,"-5/3*d*e^4*x*(3*x^2/((c*x^2 + a)^(3/2)*c) + 2*a/((c*x^2 + a)^(3/2)*c^2)) + e^5*x^4/((c*x^2 + a)^(3/2)*c) - 10*d^2*e^3*x^2/((c*x^2 + a)^(3/2)*c) + 4*a*e^5*x^2/((c*x^2 + a)^(3/2)*c^2) + 2/3*d^5*x/(sqrt(c*x^2 + a)*a^2) + 1/3*d^5*x/((c*x^2 + a)^(3/2)*a) - 10/3*d^3*e^2*x/((c*x^2 + a)^(3/2)*c) + 10/3*d^3*e^2*x/(sqrt(c*x^2 + a)*a*c) - 5/3*d*e^4*x/(sqrt(c*x^2 + a)*c^2) + 5*d*e^4*arcsinh(c*x/sqrt(a*c))/c^(5/2) - 5/3*d^4*e/((c*x^2 + a)^(3/2)*c) - 20/3*a*d^2*e^3/((c*x^2 + a)^(3/2)*c^2) + 8/3*a^2*e^5/((c*x^2 + a)^(3/2)*c^3)","A",0
578,1,213,0,1.383936," ","integrate((e*x+d)^4/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, e^{4} x {\left(\frac{3 \, x^{2}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{2 \, a}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}}\right)} - \frac{4 \, d e^{3} x^{2}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{2 \, d^{4} x}{3 \, \sqrt{c x^{2} + a} a^{2}} + \frac{d^{4} x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a} - \frac{2 \, d^{2} e^{2} x}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{2 \, d^{2} e^{2} x}{\sqrt{c x^{2} + a} a c} - \frac{e^{4} x}{3 \, \sqrt{c x^{2} + a} c^{2}} + \frac{e^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{5}{2}}} - \frac{4 \, d^{3} e}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c} - \frac{8 \, a d e^{3}}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}}"," ",0,"-1/3*e^4*x*(3*x^2/((c*x^2 + a)^(3/2)*c) + 2*a/((c*x^2 + a)^(3/2)*c^2)) - 4*d*e^3*x^2/((c*x^2 + a)^(3/2)*c) + 2/3*d^4*x/(sqrt(c*x^2 + a)*a^2) + 1/3*d^4*x/((c*x^2 + a)^(3/2)*a) - 2*d^2*e^2*x/((c*x^2 + a)^(3/2)*c) + 2*d^2*e^2*x/(sqrt(c*x^2 + a)*a*c) - 1/3*e^4*x/(sqrt(c*x^2 + a)*c^2) + e^4*arcsinh(c*x/sqrt(a*c))/c^(5/2) - 4/3*d^3*e/((c*x^2 + a)^(3/2)*c) - 8/3*a*d*e^3/((c*x^2 + a)^(3/2)*c^2)","A",0
579,1,133,0,1.358339," ","integrate((e*x+d)^3/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{e^{3} x^{2}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{2 \, d^{3} x}{3 \, \sqrt{c x^{2} + a} a^{2}} + \frac{d^{3} x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a} - \frac{d e^{2} x}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{d e^{2} x}{\sqrt{c x^{2} + a} a c} - \frac{d^{2} e}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} - \frac{2 \, a e^{3}}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}}"," ",0,"-e^3*x^2/((c*x^2 + a)^(3/2)*c) + 2/3*d^3*x/(sqrt(c*x^2 + a)*a^2) + 1/3*d^3*x/((c*x^2 + a)^(3/2)*a) - d*e^2*x/((c*x^2 + a)^(3/2)*c) + d*e^2*x/(sqrt(c*x^2 + a)*a*c) - d^2*e/((c*x^2 + a)^(3/2)*c) - 2/3*a*e^3/((c*x^2 + a)^(3/2)*c^2)","A",0
580,1,92,0,1.317217," ","integrate((e*x+d)^2/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, d^{2} x}{3 \, \sqrt{c x^{2} + a} a^{2}} + \frac{d^{2} x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a} - \frac{e^{2} x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{e^{2} x}{3 \, \sqrt{c x^{2} + a} a c} - \frac{2 \, d e}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c}"," ",0,"2/3*d^2*x/(sqrt(c*x^2 + a)*a^2) + 1/3*d^2*x/((c*x^2 + a)^(3/2)*a) - 1/3*e^2*x/((c*x^2 + a)^(3/2)*c) + 1/3*e^2*x/(sqrt(c*x^2 + a)*a*c) - 2/3*d*e/((c*x^2 + a)^(3/2)*c)","A",0
581,1,48,0,1.287893," ","integrate((e*x+d)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, d x}{3 \, \sqrt{c x^{2} + a} a^{2}} + \frac{d x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a} - \frac{e}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c}"," ",0,"2/3*d*x/(sqrt(c*x^2 + a)*a^2) + 1/3*d*x/((c*x^2 + a)^(3/2)*a) - 1/3*e/((c*x^2 + a)^(3/2)*c)","A",0
582,1,283,0,1.786652," ","integrate(1/(e*x+d)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{c d x}{3 \, {\left({\left(c x^{2} + a\right)}^{\frac{3}{2}} a c d^{2} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} e^{2}\right)}} + \frac{c d x}{2 \, \sqrt{c x^{2} + a} a^{2} c d^{2} + \frac{\sqrt{c x^{2} + a} a c^{2} d^{4}}{e^{2}} + \sqrt{c x^{2} + a} a^{3} e^{2}} + \frac{2 \, c d x}{3 \, {\left(\sqrt{c x^{2} + a} a^{2} c d^{2} + \sqrt{c x^{2} + a} a^{3} e^{2}\right)}} + \frac{1}{\frac{\sqrt{c x^{2} + a} c^{2} d^{4}}{e^{3}} + \frac{2 \, \sqrt{c x^{2} + a} a c d^{2}}{e} + \sqrt{c x^{2} + a} a^{2} e} + \frac{1}{3 \, {\left(\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c d^{2}}{e} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a e\right)}} + \frac{\operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{5}{2}} e}"," ",0,"1/3*c*d*x/((c*x^2 + a)^(3/2)*a*c*d^2 + (c*x^2 + a)^(3/2)*a^2*e^2) + c*d*x/(2*sqrt(c*x^2 + a)*a^2*c*d^2 + sqrt(c*x^2 + a)*a*c^2*d^4/e^2 + sqrt(c*x^2 + a)*a^3*e^2) + 2/3*c*d*x/(sqrt(c*x^2 + a)*a^2*c*d^2 + sqrt(c*x^2 + a)*a^3*e^2) + 1/(sqrt(c*x^2 + a)*c^2*d^4/e^3 + 2*sqrt(c*x^2 + a)*a*c*d^2/e + sqrt(c*x^2 + a)*a^2*e) + 1/3/((c*x^2 + a)^(3/2)*c*d^2/e + (c*x^2 + a)^(3/2)*a*e) + arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(5/2)*e)","B",0
583,1,563,0,2.146318," ","integrate(1/(e*x+d)^2/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{5 \, c^{2} d^{2} x}{3 \, {\left({\left(c x^{2} + a\right)}^{\frac{3}{2}} a c^{2} d^{4} + 2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} c d^{2} e^{2} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{3} e^{4}\right)}} + \frac{5 \, c^{2} d^{2} x}{3 \, \sqrt{c x^{2} + a} a^{2} c^{2} d^{4} + \frac{\sqrt{c x^{2} + a} a c^{3} d^{6}}{e^{2}} + 3 \, \sqrt{c x^{2} + a} a^{3} c d^{2} e^{2} + \sqrt{c x^{2} + a} a^{4} e^{4}} + \frac{10 \, c^{2} d^{2} x}{3 \, {\left(\sqrt{c x^{2} + a} a^{2} c^{2} d^{4} + 2 \, \sqrt{c x^{2} + a} a^{3} c d^{2} e^{2} + \sqrt{c x^{2} + a} a^{4} e^{4}\right)}} + \frac{5 \, c d}{\frac{\sqrt{c x^{2} + a} c^{3} d^{6}}{e^{3}} + \frac{3 \, \sqrt{c x^{2} + a} a c^{2} d^{4}}{e} + 3 \, \sqrt{c x^{2} + a} a^{2} c d^{2} e + \sqrt{c x^{2} + a} a^{3} e^{3}} + \frac{5 \, c d}{3 \, {\left(\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d^{4}}{e} + 2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a c d^{2} e + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} e^{3}\right)}} - \frac{4 \, c x}{3 \, {\left({\left(c x^{2} + a\right)}^{\frac{3}{2}} a c d^{2} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} e^{2}\right)}} - \frac{8 \, c x}{3 \, {\left(\sqrt{c x^{2} + a} a^{2} c d^{2} + \sqrt{c x^{2} + a} a^{3} e^{2}\right)}} - \frac{1}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c d^{2} x + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a e^{2} x + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c d^{3}}{e} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a d e} + \frac{5 \, c d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{3}}"," ",0,"5/3*c^2*d^2*x/((c*x^2 + a)^(3/2)*a*c^2*d^4 + 2*(c*x^2 + a)^(3/2)*a^2*c*d^2*e^2 + (c*x^2 + a)^(3/2)*a^3*e^4) + 5*c^2*d^2*x/(3*sqrt(c*x^2 + a)*a^2*c^2*d^4 + sqrt(c*x^2 + a)*a*c^3*d^6/e^2 + 3*sqrt(c*x^2 + a)*a^3*c*d^2*e^2 + sqrt(c*x^2 + a)*a^4*e^4) + 10/3*c^2*d^2*x/(sqrt(c*x^2 + a)*a^2*c^2*d^4 + 2*sqrt(c*x^2 + a)*a^3*c*d^2*e^2 + sqrt(c*x^2 + a)*a^4*e^4) + 5*c*d/(sqrt(c*x^2 + a)*c^3*d^6/e^3 + 3*sqrt(c*x^2 + a)*a*c^2*d^4/e + 3*sqrt(c*x^2 + a)*a^2*c*d^2*e + sqrt(c*x^2 + a)*a^3*e^3) + 5/3*c*d/((c*x^2 + a)^(3/2)*c^2*d^4/e + 2*(c*x^2 + a)^(3/2)*a*c*d^2*e + (c*x^2 + a)^(3/2)*a^2*e^3) - 4/3*c*x/((c*x^2 + a)^(3/2)*a*c*d^2 + (c*x^2 + a)^(3/2)*a^2*e^2) - 8/3*c*x/(sqrt(c*x^2 + a)*a^2*c*d^2 + sqrt(c*x^2 + a)*a^3*e^2) - 1/((c*x^2 + a)^(3/2)*c*d^2*x + (c*x^2 + a)^(3/2)*a*e^2*x + (c*x^2 + a)^(3/2)*c*d^3/e + (c*x^2 + a)^(3/2)*a*d*e) + 5*c*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^3)","B",0
584,1,1176,0,2.661922," ","integrate(1/(e*x+d)^3/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{35 \, c^{3} d^{3} x}{6 \, {\left({\left(c x^{2} + a\right)}^{\frac{3}{2}} a c^{3} d^{6} + 3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} c^{2} d^{4} e^{2} + 3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{3} c d^{2} e^{4} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{4} e^{6}\right)}} + \frac{35 \, c^{3} d^{3} x}{2 \, {\left(4 \, \sqrt{c x^{2} + a} a^{2} c^{3} d^{6} + \frac{\sqrt{c x^{2} + a} a c^{4} d^{8}}{e^{2}} + 6 \, \sqrt{c x^{2} + a} a^{3} c^{2} d^{4} e^{2} + 4 \, \sqrt{c x^{2} + a} a^{4} c d^{2} e^{4} + \sqrt{c x^{2} + a} a^{5} e^{6}\right)}} + \frac{35 \, c^{3} d^{3} x}{3 \, {\left(\sqrt{c x^{2} + a} a^{2} c^{3} d^{6} + 3 \, \sqrt{c x^{2} + a} a^{3} c^{2} d^{4} e^{2} + 3 \, \sqrt{c x^{2} + a} a^{4} c d^{2} e^{4} + \sqrt{c x^{2} + a} a^{5} e^{6}\right)}} + \frac{35 \, c^{2} d^{2}}{2 \, {\left(\frac{\sqrt{c x^{2} + a} c^{4} d^{8}}{e^{3}} + \frac{4 \, \sqrt{c x^{2} + a} a c^{3} d^{6}}{e} + 6 \, \sqrt{c x^{2} + a} a^{2} c^{2} d^{4} e + 4 \, \sqrt{c x^{2} + a} a^{3} c d^{2} e^{3} + \sqrt{c x^{2} + a} a^{4} e^{5}\right)}} + \frac{35 \, c^{2} d^{2}}{6 \, {\left(\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3} d^{6}}{e} + 3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a c^{2} d^{4} e + 3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} c d^{2} e^{3} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{3} e^{5}\right)}} - \frac{11 \, c^{2} d x}{2 \, {\left({\left(c x^{2} + a\right)}^{\frac{3}{2}} a c^{2} d^{4} + 2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} c d^{2} e^{2} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{3} e^{4}\right)}} - \frac{5 \, c^{2} d x}{2 \, {\left(3 \, \sqrt{c x^{2} + a} a^{2} c^{2} d^{4} + \frac{\sqrt{c x^{2} + a} a c^{3} d^{6}}{e^{2}} + 3 \, \sqrt{c x^{2} + a} a^{3} c d^{2} e^{2} + \sqrt{c x^{2} + a} a^{4} e^{4}\right)}} - \frac{11 \, c^{2} d x}{\sqrt{c x^{2} + a} a^{2} c^{2} d^{4} + 2 \, \sqrt{c x^{2} + a} a^{3} c d^{2} e^{2} + \sqrt{c x^{2} + a} a^{4} e^{4}} - \frac{7 \, c d}{2 \, {\left({\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d^{4} x + 2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a c d^{2} e^{2} x + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} e^{4} x + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d^{5}}{e} + 2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a c d^{3} e + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} d e^{3}\right)}} - \frac{5 \, c}{2 \, {\left(\frac{\sqrt{c x^{2} + a} c^{3} d^{6}}{e^{3}} + \frac{3 \, \sqrt{c x^{2} + a} a c^{2} d^{4}}{e} + 3 \, \sqrt{c x^{2} + a} a^{2} c d^{2} e + \sqrt{c x^{2} + a} a^{3} e^{3}\right)}} - \frac{5 \, c}{6 \, {\left(\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2} d^{4}}{e} + 2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a c d^{2} e + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2} e^{3}\right)}} - \frac{1}{2 \, {\left({\left(c x^{2} + a\right)}^{\frac{3}{2}} c d^{2} e x^{2} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a e^{3} x^{2} + 2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c d^{3} x + 2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a d e^{2} x + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c d^{4}}{e} + {\left(c x^{2} + a\right)}^{\frac{3}{2}} a d^{2} e\right)}} + \frac{35 \, c^{2} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{9}{2}} e^{5}} - \frac{5 \, c \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{2 \, {\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{7}{2}} e^{3}}"," ",0,"35/6*c^3*d^3*x/((c*x^2 + a)^(3/2)*a*c^3*d^6 + 3*(c*x^2 + a)^(3/2)*a^2*c^2*d^4*e^2 + 3*(c*x^2 + a)^(3/2)*a^3*c*d^2*e^4 + (c*x^2 + a)^(3/2)*a^4*e^6) + 35/2*c^3*d^3*x/(4*sqrt(c*x^2 + a)*a^2*c^3*d^6 + sqrt(c*x^2 + a)*a*c^4*d^8/e^2 + 6*sqrt(c*x^2 + a)*a^3*c^2*d^4*e^2 + 4*sqrt(c*x^2 + a)*a^4*c*d^2*e^4 + sqrt(c*x^2 + a)*a^5*e^6) + 35/3*c^3*d^3*x/(sqrt(c*x^2 + a)*a^2*c^3*d^6 + 3*sqrt(c*x^2 + a)*a^3*c^2*d^4*e^2 + 3*sqrt(c*x^2 + a)*a^4*c*d^2*e^4 + sqrt(c*x^2 + a)*a^5*e^6) + 35/2*c^2*d^2/(sqrt(c*x^2 + a)*c^4*d^8/e^3 + 4*sqrt(c*x^2 + a)*a*c^3*d^6/e + 6*sqrt(c*x^2 + a)*a^2*c^2*d^4*e + 4*sqrt(c*x^2 + a)*a^3*c*d^2*e^3 + sqrt(c*x^2 + a)*a^4*e^5) + 35/6*c^2*d^2/((c*x^2 + a)^(3/2)*c^3*d^6/e + 3*(c*x^2 + a)^(3/2)*a*c^2*d^4*e + 3*(c*x^2 + a)^(3/2)*a^2*c*d^2*e^3 + (c*x^2 + a)^(3/2)*a^3*e^5) - 11/2*c^2*d*x/((c*x^2 + a)^(3/2)*a*c^2*d^4 + 2*(c*x^2 + a)^(3/2)*a^2*c*d^2*e^2 + (c*x^2 + a)^(3/2)*a^3*e^4) - 5/2*c^2*d*x/(3*sqrt(c*x^2 + a)*a^2*c^2*d^4 + sqrt(c*x^2 + a)*a*c^3*d^6/e^2 + 3*sqrt(c*x^2 + a)*a^3*c*d^2*e^2 + sqrt(c*x^2 + a)*a^4*e^4) - 11*c^2*d*x/(sqrt(c*x^2 + a)*a^2*c^2*d^4 + 2*sqrt(c*x^2 + a)*a^3*c*d^2*e^2 + sqrt(c*x^2 + a)*a^4*e^4) - 7/2*c*d/((c*x^2 + a)^(3/2)*c^2*d^4*x + 2*(c*x^2 + a)^(3/2)*a*c*d^2*e^2*x + (c*x^2 + a)^(3/2)*a^2*e^4*x + (c*x^2 + a)^(3/2)*c^2*d^5/e + 2*(c*x^2 + a)^(3/2)*a*c*d^3*e + (c*x^2 + a)^(3/2)*a^2*d*e^3) - 5/2*c/(sqrt(c*x^2 + a)*c^3*d^6/e^3 + 3*sqrt(c*x^2 + a)*a*c^2*d^4/e + 3*sqrt(c*x^2 + a)*a^2*c*d^2*e + sqrt(c*x^2 + a)*a^3*e^3) - 5/6*c/((c*x^2 + a)^(3/2)*c^2*d^4/e + 2*(c*x^2 + a)^(3/2)*a*c*d^2*e + (c*x^2 + a)^(3/2)*a^2*e^3) - 1/2/((c*x^2 + a)^(3/2)*c*d^2*e*x^2 + (c*x^2 + a)^(3/2)*a*e^3*x^2 + 2*(c*x^2 + a)^(3/2)*c*d^3*x + 2*(c*x^2 + a)^(3/2)*a*d*e^2*x + (c*x^2 + a)^(3/2)*c*d^4/e + (c*x^2 + a)^(3/2)*a*d^2*e) + 35/2*c^2*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(9/2)*e^5) - 5/2*c*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(7/2)*e^3)","B",0
585,1,16,0,2.871810," ","integrate((3+x)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 1} + 3 \, \arcsin\left(x\right)"," ",0,"-sqrt(-x^2 + 1) + 3*arcsin(x)","A",0
586,1,16,0,3.012499," ","integrate((1+x)/(-x^2+4)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 4} + \arcsin\left(\frac{1}{2} \, x\right)"," ",0,"-sqrt(-x^2 + 4) + arcsin(1/2*x)","A",0
587,1,14,0,2.924264," ","integrate((2+x)/(x^2+9)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} + 9} + 2 \, \operatorname{arsinh}\left(\frac{1}{3} \, x\right)"," ",0,"sqrt(x^2 + 9) + 2*arcsinh(1/3*x)","A",0
588,1,42,0,2.944751," ","integrate((b*x+a)^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-x^{2} + 1} b^{2} x + a^{2} \arcsin\left(x\right) + \frac{1}{2} \, b^{2} \arcsin\left(x\right) - 2 \, \sqrt{-x^{2} + 1} a b"," ",0,"-1/2*sqrt(-x^2 + 1)*b^2*x + a^2*arcsin(x) + 1/2*b^2*arcsin(x) - 2*sqrt(-x^2 + 1)*a*b","A",0
589,1,38,0,2.899751," ","integrate((b*x+a)^2/(x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{2} + 1} b^{2} x + a^{2} \operatorname{arsinh}\left(x\right) - \frac{1}{2} \, b^{2} \operatorname{arsinh}\left(x\right) + 2 \, \sqrt{x^{2} + 1} a b"," ",0,"1/2*sqrt(x^2 + 1)*b^2*x + a^2*arcsinh(x) - 1/2*b^2*arcsinh(x) + 2*sqrt(x^2 + 1)*a*b","A",0
590,1,20,0,1.320869," ","integrate((2+3*x)/(x^2+4)^(3/2),x, algorithm=""maxima"")","\frac{x}{2 \, \sqrt{x^{2} + 4}} - \frac{3}{\sqrt{x^{2} + 4}}"," ",0,"1/2*x/sqrt(x^2 + 4) - 3/sqrt(x^2 + 4)","A",0
591,1,47,0,1.343619," ","integrate((e*x+d)^(5/2)*(c*x^2+a),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} c - 154 \, {\left(e x + d\right)}^{\frac{9}{2}} c d + 99 \, {\left(c d^{2} + a e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{693 \, e^{3}}"," ",0,"2/693*(63*(e*x + d)^(11/2)*c - 154*(e*x + d)^(9/2)*c*d + 99*(c*d^2 + a*e^2)*(e*x + d)^(7/2))/e^3","A",0
592,1,47,0,1.339616," ","integrate((e*x+d)^(3/2)*(c*x^2+a),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} c - 90 \, {\left(e x + d\right)}^{\frac{7}{2}} c d + 63 \, {\left(c d^{2} + a e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{315 \, e^{3}}"," ",0,"2/315*(35*(e*x + d)^(9/2)*c - 90*(e*x + d)^(7/2)*c*d + 63*(c*d^2 + a*e^2)*(e*x + d)^(5/2))/e^3","A",0
593,1,47,0,1.377049," ","integrate((c*x^2+a)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{\frac{7}{2}} c - 42 \, {\left(e x + d\right)}^{\frac{5}{2}} c d + 35 \, {\left(c d^{2} + a e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{105 \, e^{3}}"," ",0,"2/105*(15*(e*x + d)^(7/2)*c - 42*(e*x + d)^(5/2)*c*d + 35*(c*d^2 + a*e^2)*(e*x + d)^(3/2))/e^3","A",0
594,1,53,0,1.343211," ","integrate((c*x^2+a)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, \sqrt{e x + d} a + \frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} c}{e^{2}}\right)}}{15 \, e}"," ",0,"2/15*(15*sqrt(e*x + d)*a + (3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*c/e^2)/e","A",0
595,1,54,0,1.315883," ","integrate((c*x^2+a)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} c - 6 \, \sqrt{e x + d} c d}{e^{2}} - \frac{3 \, {\left(c d^{2} + a e^{2}\right)}}{\sqrt{e x + d} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(((e*x + d)^(3/2)*c - 6*sqrt(e*x + d)*c*d)/e^2 - 3*(c*d^2 + a*e^2)/(sqrt(e*x + d)*e^2))/e","A",0
596,1,52,0,1.349579," ","integrate((c*x^2+a)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, \sqrt{e x + d} c}{e^{2}} + \frac{6 \, {\left(e x + d\right)} c d - c d^{2} - a e^{2}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(3*sqrt(e*x + d)*c/e^2 + (6*(e*x + d)*c*d - c*d^2 - a*e^2)/((e*x + d)^(3/2)*e^2))/e","A",0
597,1,44,0,1.370678," ","integrate((c*x^2+a)/(e*x+d)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{2} c - 10 \, {\left(e x + d\right)} c d + 3 \, c d^{2} + 3 \, a e^{2}\right)}}{15 \, {\left(e x + d\right)}^{\frac{5}{2}} e^{3}}"," ",0,"-2/15*(15*(e*x + d)^2*c - 10*(e*x + d)*c*d + 3*c*d^2 + 3*a*e^2)/((e*x + d)^(5/2)*e^3)","A",0
598,1,113,0,1.387215," ","integrate((e*x+d)^(5/2)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{2} - 13860 \, {\left(e x + d\right)}^{\frac{13}{2}} c^{2} d + 8190 \, {\left(3 \, c^{2} d^{2} + a c e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 20020 \, {\left(c^{2} d^{3} + a c d e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 6435 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{45045 \, e^{5}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*c^2 - 13860*(e*x + d)^(13/2)*c^2*d + 8190*(3*c^2*d^2 + a*c*e^2)*(e*x + d)^(11/2) - 20020*(c^2*d^3 + a*c*d*e^2)*(e*x + d)^(9/2) + 6435*(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*(e*x + d)^(7/2))/e^5","A",0
599,1,113,0,1.349335," ","integrate((e*x+d)^(3/2)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3465 \, {\left(e x + d\right)}^{\frac{13}{2}} c^{2} - 16380 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{2} d + 10010 \, {\left(3 \, c^{2} d^{2} + a c e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 25740 \, {\left(c^{2} d^{3} + a c d e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 9009 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{45045 \, e^{5}}"," ",0,"2/45045*(3465*(e*x + d)^(13/2)*c^2 - 16380*(e*x + d)^(11/2)*c^2*d + 10010*(3*c^2*d^2 + a*c*e^2)*(e*x + d)^(9/2) - 25740*(c^2*d^3 + a*c*d*e^2)*(e*x + d)^(7/2) + 9009*(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*(e*x + d)^(5/2))/e^5","A",0
600,1,113,0,1.280263," ","integrate((c*x^2+a)^2*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{2} - 1540 \, {\left(e x + d\right)}^{\frac{9}{2}} c^{2} d + 990 \, {\left(3 \, c^{2} d^{2} + a c e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 2772 \, {\left(c^{2} d^{3} + a c d e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{3465 \, e^{5}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*c^2 - 1540*(e*x + d)^(9/2)*c^2*d + 990*(3*c^2*d^2 + a*c*e^2)*(e*x + d)^(7/2) - 2772*(c^2*d^3 + a*c*d*e^2)*(e*x + d)^(5/2) + 1155*(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*(e*x + d)^(3/2))/e^5","A",0
601,1,120,0,1.341133," ","integrate((c*x^2+a)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, \sqrt{e x + d} a^{2} + \frac{42 \, {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} a c}{e^{2}} + \frac{{\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} c^{2}}{e^{4}}\right)}}{315 \, e}"," ",0,"2/315*(315*sqrt(e*x + d)*a^2 + 42*(3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*a*c/e^2 + (35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*c^2/e^4)/e","A",0
602,1,121,0,1.346064," ","integrate((c*x^2+a)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{2} - 84 \, {\left(e x + d\right)}^{\frac{5}{2}} c^{2} d + 70 \, {\left(3 \, c^{2} d^{2} + a c e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 420 \, {\left(c^{2} d^{3} + a c d e^{2}\right)} \sqrt{e x + d}}{e^{4}} - \frac{105 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}}{\sqrt{e x + d} e^{4}}\right)}}{105 \, e}"," ",0,"2/105*((15*(e*x + d)^(7/2)*c^2 - 84*(e*x + d)^(5/2)*c^2*d + 70*(3*c^2*d^2 + a*c*e^2)*(e*x + d)^(3/2) - 420*(c^2*d^3 + a*c*d*e^2)*sqrt(e*x + d))/e^4 - 105*(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)/(sqrt(e*x + d)*e^4))/e","A",0
603,1,119,0,1.358686," ","integrate((c*x^2+a)^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} c^{2} - 20 \, {\left(e x + d\right)}^{\frac{3}{2}} c^{2} d + 30 \, {\left(3 \, c^{2} d^{2} + a c e^{2}\right)} \sqrt{e x + d}}{e^{4}} - \frac{5 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4} - 12 \, {\left(c^{2} d^{3} + a c d e^{2}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{4}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*c^2 - 20*(e*x + d)^(3/2)*c^2*d + 30*(3*c^2*d^2 + a*c*e^2)*sqrt(e*x + d))/e^4 - 5*(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4 - 12*(c^2*d^3 + a*c*d*e^2)*(e*x + d))/((e*x + d)^(3/2)*e^4))/e","A",0
604,1,121,0,1.415902," ","integrate((c*x^2+a)^2/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} c^{2} - 12 \, \sqrt{e x + d} c^{2} d\right)}}{e^{4}} - \frac{3 \, c^{2} d^{4} + 6 \, a c d^{2} e^{2} + 3 \, a^{2} e^{4} + 30 \, {\left(3 \, c^{2} d^{2} + a c e^{2}\right)} {\left(e x + d\right)}^{2} - 20 \, {\left(c^{2} d^{3} + a c d e^{2}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{4}}\right)}}{15 \, e}"," ",0,"2/15*(5*((e*x + d)^(3/2)*c^2 - 12*sqrt(e*x + d)*c^2*d)/e^4 - (3*c^2*d^4 + 6*a*c*d^2*e^2 + 3*a^2*e^4 + 30*(3*c^2*d^2 + a*c*e^2)*(e*x + d)^2 - 20*(c^2*d^3 + a*c*d*e^2)*(e*x + d))/((e*x + d)^(5/2)*e^4))/e","A",0
605,1,209,0,1.399606," ","integrate((e*x+d)^(5/2)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(255255 \, {\left(e x + d\right)}^{\frac{19}{2}} c^{3} - 1711710 \, {\left(e x + d\right)}^{\frac{17}{2}} c^{3} d + 969969 \, {\left(5 \, c^{3} d^{2} + a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 1492260 \, {\left(5 \, c^{3} d^{3} + 3 \, a c^{2} d e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 1322685 \, {\left(5 \, c^{3} d^{4} + 6 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 3233230 \, {\left(c^{3} d^{5} + 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 692835 \, {\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{4849845 \, e^{7}}"," ",0,"2/4849845*(255255*(e*x + d)^(19/2)*c^3 - 1711710*(e*x + d)^(17/2)*c^3*d + 969969*(5*c^3*d^2 + a*c^2*e^2)*(e*x + d)^(15/2) - 1492260*(5*c^3*d^3 + 3*a*c^2*d*e^2)*(e*x + d)^(13/2) + 1322685*(5*c^3*d^4 + 6*a*c^2*d^2*e^2 + a^2*c*e^4)*(e*x + d)^(11/2) - 3233230*(c^3*d^5 + 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d)^(9/2) + 692835*(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6)*(e*x + d)^(7/2))/e^7","A",0
606,1,209,0,1.369045," ","integrate((e*x+d)^(3/2)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(15015 \, {\left(e x + d\right)}^{\frac{17}{2}} c^{3} - 102102 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{3} d + 58905 \, {\left(5 \, c^{3} d^{2} + a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 92820 \, {\left(5 \, c^{3} d^{3} + 3 \, a c^{2} d e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 85085 \, {\left(5 \, c^{3} d^{4} + 6 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 218790 \, {\left(c^{3} d^{5} + 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 51051 \, {\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{255255 \, e^{7}}"," ",0,"2/255255*(15015*(e*x + d)^(17/2)*c^3 - 102102*(e*x + d)^(15/2)*c^3*d + 58905*(5*c^3*d^2 + a*c^2*e^2)*(e*x + d)^(13/2) - 92820*(5*c^3*d^3 + 3*a*c^2*d*e^2)*(e*x + d)^(11/2) + 85085*(5*c^3*d^4 + 6*a*c^2*d^2*e^2 + a^2*c*e^4)*(e*x + d)^(9/2) - 218790*(c^3*d^5 + 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d)^(7/2) + 51051*(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6)*(e*x + d)^(5/2))/e^7","A",0
607,1,209,0,1.380951," ","integrate((c*x^2+a)^3*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{3} - 20790 \, {\left(e x + d\right)}^{\frac{13}{2}} c^{3} d + 12285 \, {\left(5 \, c^{3} d^{2} + a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 20020 \, {\left(5 \, c^{3} d^{3} + 3 \, a c^{2} d e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 19305 \, {\left(5 \, c^{3} d^{4} + 6 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 54054 \, {\left(c^{3} d^{5} + 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 15015 \, {\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{45045 \, e^{7}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*c^3 - 20790*(e*x + d)^(13/2)*c^3*d + 12285*(5*c^3*d^2 + a*c^2*e^2)*(e*x + d)^(11/2) - 20020*(5*c^3*d^3 + 3*a*c^2*d*e^2)*(e*x + d)^(9/2) + 19305*(5*c^3*d^4 + 6*a*c^2*d^2*e^2 + a^2*c*e^4)*(e*x + d)^(7/2) - 54054*(c^3*d^5 + 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d)^(5/2) + 15015*(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6)*(e*x + d)^(3/2))/e^7","A",0
608,1,212,0,1.376322," ","integrate((c*x^2+a)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15015 \, \sqrt{e x + d} a^{3} + \frac{3003 \, {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} a^{2} c}{e^{2}} + \frac{143 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} a c^{2}}{e^{4}} + \frac{5 \, {\left(231 \, {\left(e x + d\right)}^{\frac{13}{2}} - 1638 \, {\left(e x + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(e x + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{e x + d} d^{6}\right)} c^{3}}{e^{6}}\right)}}{15015 \, e}"," ",0,"2/15015*(15015*sqrt(e*x + d)*a^3 + 3003*(3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*a^2*c/e^2 + 143*(35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*a*c^2/e^4 + 5*(231*(e*x + d)^(13/2) - 1638*(e*x + d)^(11/2)*d + 5005*(e*x + d)^(9/2)*d^2 - 8580*(e*x + d)^(7/2)*d^3 + 9009*(e*x + d)^(5/2)*d^4 - 6006*(e*x + d)^(3/2)*d^5 + 3003*sqrt(e*x + d)*d^6)*c^3/e^6)/e","A",0
609,1,217,0,1.324333," ","integrate((c*x^2+a)^3/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{105 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{3} - 770 \, {\left(e x + d\right)}^{\frac{9}{2}} c^{3} d + 495 \, {\left(5 \, c^{3} d^{2} + a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 924 \, {\left(5 \, c^{3} d^{3} + 3 \, a c^{2} d e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(5 \, c^{3} d^{4} + 6 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 6930 \, {\left(c^{3} d^{5} + 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} \sqrt{e x + d}}{e^{6}} - \frac{1155 \, {\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)}}{\sqrt{e x + d} e^{6}}\right)}}{1155 \, e}"," ",0,"2/1155*((105*(e*x + d)^(11/2)*c^3 - 770*(e*x + d)^(9/2)*c^3*d + 495*(5*c^3*d^2 + a*c^2*e^2)*(e*x + d)^(7/2) - 924*(5*c^3*d^3 + 3*a*c^2*d*e^2)*(e*x + d)^(5/2) + 1155*(5*c^3*d^4 + 6*a*c^2*d^2*e^2 + a^2*c*e^4)*(e*x + d)^(3/2) - 6930*(c^3*d^5 + 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*sqrt(e*x + d))/e^6 - 1155*(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6)/(sqrt(e*x + d)*e^6))/e","A",0
610,1,215,0,1.374287," ","integrate((c*x^2+a)^3/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}} c^{3} - 270 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{3} d + 189 \, {\left(5 \, c^{3} d^{2} + a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 420 \, {\left(5 \, c^{3} d^{3} + 3 \, a c^{2} d e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 945 \, {\left(5 \, c^{3} d^{4} + 6 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} \sqrt{e x + d}}{e^{6}} - \frac{105 \, {\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6} - 18 \, {\left(c^{3} d^{5} + 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{6}}\right)}}{315 \, e}"," ",0,"2/315*((35*(e*x + d)^(9/2)*c^3 - 270*(e*x + d)^(7/2)*c^3*d + 189*(5*c^3*d^2 + a*c^2*e^2)*(e*x + d)^(5/2) - 420*(5*c^3*d^3 + 3*a*c^2*d*e^2)*(e*x + d)^(3/2) + 945*(5*c^3*d^4 + 6*a*c^2*d^2*e^2 + a^2*c*e^4)*sqrt(e*x + d))/e^6 - 105*(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6 - 18*(c^3*d^5 + 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d))/((e*x + d)^(3/2)*e^6))/e","A",0
611,1,215,0,1.406825," ","integrate((c*x^2+a)^3/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{3} - 42 \, {\left(e x + d\right)}^{\frac{5}{2}} c^{3} d + 35 \, {\left(5 \, c^{3} d^{2} + a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 140 \, {\left(5 \, c^{3} d^{3} + 3 \, a c^{2} d e^{2}\right)} \sqrt{e x + d}}{e^{6}} - \frac{7 \, {\left(c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6} + 15 \, {\left(5 \, c^{3} d^{4} + 6 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} {\left(e x + d\right)}^{2} - 10 \, {\left(c^{3} d^{5} + 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{6}}\right)}}{35 \, e}"," ",0,"2/35*((5*(e*x + d)^(7/2)*c^3 - 42*(e*x + d)^(5/2)*c^3*d + 35*(5*c^3*d^2 + a*c^2*e^2)*(e*x + d)^(3/2) - 140*(5*c^3*d^3 + 3*a*c^2*d*e^2)*sqrt(e*x + d))/e^6 - 7*(c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6 + 15*(5*c^3*d^4 + 6*a*c^2*d^2*e^2 + a^2*c*e^4)*(e*x + d)^2 - 10*(c^3*d^5 + 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d))/((e*x + d)^(5/2)*e^6))/e","A",0
612,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{c x^{2} - a}\,{d x}"," ",0,"-integrate((e*x + d)^(5/2)/(c*x^2 - a), x)","F",0
613,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{c x^{2} - a}\,{d x}"," ",0,"-integrate((e*x + d)^(3/2)/(c*x^2 - a), x)","F",0
614,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{\sqrt{e x + d}}{c x^{2} - a}\,{d x}"," ",0,"-integrate(sqrt(e*x + d)/(c*x^2 - a), x)","F",0
615,0,0,0,0.000000," ","integrate(1/(-c*x^2+a)/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(c x^{2} - a\right)} \sqrt{e x + d}}\,{d x}"," ",0,"-integrate(1/((c*x^2 - a)*sqrt(e*x + d)), x)","F",0
616,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{1}{{\left(c x^{2} - a\right)} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate(1/((c*x^2 - a)*(e*x + d)^(3/2)), x)","F",0
617,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{1}{{\left(c x^{2} - a\right)} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate(1/((c*x^2 - a)*(e*x + d)^(5/2)), x)","F",0
618,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + a), x)","F",0
619,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + a), x)","F",0
620,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{c x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + a), x)","F",0
621,0,0,0,0.000000," ","integrate(1/(c*x^2+a)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)*sqrt(e*x + d)), x)","F",0
622,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)*(e*x + d)^(3/2)), x)","F",0
623,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)*(e*x + d)^(5/2)), x)","F",0
624,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} - a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 - a)^2, x)","F",0
625,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} - a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 - a)^2, x)","F",0
626,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} - a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 - a)^2, x)","F",0
627,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} - a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 - a)^2, x)","F",0
628,0,0,0,0.000000," ","integrate(1/(-c*x^2+a)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} - a\right)}^{2} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 - a)^2*sqrt(e*x + d)), x)","F",0
629,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} - a\right)}^{2} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 - a)^2*(e*x + d)^(3/2)), x)","F",0
630,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} - a\right)}^{2} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 - a)^2*(e*x + d)^(5/2)), x)","F",0
631,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + a)^2, x)","F",0
632,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + a)^2, x)","F",0
633,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + a)^2, x)","F",0
634,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + a)^2, x)","F",0
635,0,0,0,0.000000," ","integrate(1/(c*x^2+a)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{2} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^2*sqrt(e*x + d)), x)","F",0
636,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{2} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^2*(e*x + d)^(3/2)), x)","F",0
637,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{2} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^2*(e*x + d)^(5/2)), x)","F",0
638,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(-c*x^2+a)^3,x, algorithm=""maxima"")","-\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} - a\right)}^{3}}\,{d x}"," ",0,"-integrate((e*x + d)^(7/2)/(c*x^2 - a)^3, x)","F",0
639,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(-c*x^2+a)^3,x, algorithm=""maxima"")","-\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} - a\right)}^{3}}\,{d x}"," ",0,"-integrate((e*x + d)^(5/2)/(c*x^2 - a)^3, x)","F",0
640,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(-c*x^2+a)^3,x, algorithm=""maxima"")","-\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} - a\right)}^{3}}\,{d x}"," ",0,"-integrate((e*x + d)^(3/2)/(c*x^2 - a)^3, x)","F",0
641,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(-c*x^2+a)^3,x, algorithm=""maxima"")","-\int \frac{\sqrt{e x + d}}{{\left(c x^{2} - a\right)}^{3}}\,{d x}"," ",0,"-integrate(sqrt(e*x + d)/(c*x^2 - a)^3, x)","F",0
642,0,0,0,0.000000," ","integrate(1/(-c*x^2+a)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(c x^{2} - a\right)}^{3} \sqrt{e x + d}}\,{d x}"," ",0,"-integrate(1/((c*x^2 - a)^3*sqrt(e*x + d)), x)","F",0
643,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + a)^3, x)","F",0
644,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + a)^3, x)","F",0
645,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + a)^3, x)","F",0
646,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + a)^3, x)","F",0
647,0,0,0,0.000000," ","integrate(1/(c*x^2+a)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{3} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^3*sqrt(e*x + d)), x)","F",0
648,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{3 \, x + 2}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)/(x^2 + 1), x)","F",0
649,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{d x + c}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/(x^2 + 1), x)","F",0
650,1,45,0,2.987249," ","integrate((2+3*x)^(1/2)/(-x^2+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{3 \, x + 2}}{\sqrt{5} + \sqrt{3 \, x + 2}}\right) - \arctan\left(\sqrt{3 \, x + 2}\right)"," ",0,"-1/2*sqrt(5)*log(-(sqrt(5) - sqrt(3*x + 2))/(sqrt(5) + sqrt(3*x + 2))) - arctan(sqrt(3*x + 2))","A",0
651,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(-x^2+1),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*c-4*d>0)', see `assume?` for more details)Is 4*c-4*d positive or negative?","F(-2)",0
652,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{3 \, x + 2}}{b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)/(b*x^2 + a), x)","F",0
653,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(-b*x^2+a),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x + 2}}{b x^{2} - a}\,{d x}"," ",0,"-integrate(sqrt(3*x + 2)/(b*x^2 - a), x)","F",0
654,0,0,0,0.000000," ","integrate((1+x)^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x + 1)/(x^2 + 1), x)","F",0
655,0,0,0,0.000000," ","integrate(1/(x^2+1)/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 1\right)} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(1/((x^2 + 1)*sqrt(x + 1)), x)","F",0
656,0,0,0,0.000000," ","integrate((-1+x)^(1/2)/(x^2+1)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x - 1}}{{\left(x^{2} + 1\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(x - 1)/(x^2 + 1)^3, x)","F",0
657,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(e x + d\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(e*x + d)^(3/2), x)","F",0
658,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} \sqrt{e x + d}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*sqrt(e*x + d), x)","F",0
659,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/sqrt(e*x + d), x)","F",0
660,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/(e*x + d)^(3/2), x)","F",0
661,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/(e*x + d)^(5/2), x)","F",0
662,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/(e*x + d)^(7/2), x)","F",0
663,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(e*x + d)^(3/2), x)","F",0
664,0,0,0,0.000000," ","integrate((c*x^2+a)^(3/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{3}{2}} \sqrt{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*sqrt(e*x + d), x)","F",0
665,0,0,0,0.000000," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)/sqrt(e*x + d), x)","F",0
666,0,0,0,0.000000," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)/(e*x + d)^(3/2), x)","F",0
667,0,0,0,0.000000," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)/(e*x + d)^(5/2), x)","F",0
668,0,0,0,0.000000," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)/(e*x + d)^(7/2), x)","F",0
669,0,0,0,0.000000," ","integrate((c*x^2+a)^(3/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)/(e*x + d)^(9/2), x)","F",0
670,0,0,0,0.000000," ","integrate((c*x^2+a)^(5/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{5}{2}} \sqrt{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*sqrt(e*x + d), x)","F",0
671,0,0,0,0.000000," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)/sqrt(e*x + d), x)","F",0
672,0,0,0,0.000000," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)/(e*x + d)^(3/2), x)","F",0
673,0,0,0,0.000000," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)/(e*x + d)^(5/2), x)","F",0
674,0,0,0,0.000000," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)/(e*x + d)^(7/2), x)","F",0
675,0,0,0,0.000000," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)/(e*x + d)^(9/2), x)","F",0
676,0,0,0,0.000000," ","integrate((c*x^2+a)^(5/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)/(e*x + d)^(11/2), x)","F",0
677,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/sqrt(c*x^2 + a), x)","F",0
678,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/sqrt(c*x^2 + a), x)","F",0
679,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/sqrt(c*x^2 + a), x)","F",0
680,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/sqrt(c*x^2 + a), x)","F",0
681,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*sqrt(e*x + d)), x)","F",0
682,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)^(3/2)), x)","F",0
683,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)^(5/2)), x)","F",0
684,0,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)^(7/2)), x)","F",0
685,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + a)^(3/2), x)","F",0
686,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + a)^(3/2), x)","F",0
687,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + a)^(3/2), x)","F",0
688,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + a)^(3/2), x)","F",0
689,0,0,0,0.000000," ","integrate(1/(c*x^2+a)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^(3/2)*sqrt(e*x + d)), x)","F",0
690,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^(3/2)*(e*x + d)^(3/2)), x)","F",0
691,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^(3/2)*(e*x + d)^(5/2)), x)","F",0
692,0,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{9}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(9/2)/(c*x^2 + a)^(5/2), x)","F",0
693,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + a)^(5/2), x)","F",0
694,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + a)^(5/2), x)","F",0
695,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + a)^(5/2), x)","F",0
696,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + a)^(5/2), x)","F",0
697,0,0,0,0.000000," ","integrate(1/(c*x^2+a)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^(5/2)*sqrt(e*x + d)), x)","F",0
698,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^(5/2)*(e*x + d)^(3/2)), x)","F",0
699,0,0,0,0.000000," ","integrate(1/(e*x+d)/(3*e^2*x^2+d^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, e^{2} x^{2} + d^{2}\right)}^{\frac{1}{3}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/((3*e^2*x^2 + d^2)^(1/3)*(e*x + d)), x)","F",0
700,0,0,0,0.000000," ","integrate((2+3*x)^3/(27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x + 2\right)}^{3}}{{\left(27 \, x^{2} + 4\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)^3/(27*x^2 + 4)^(1/3), x)","F",0
701,0,0,0,0.000000," ","integrate((2+3*x)^2/(27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x + 2\right)}^{2}}{{\left(27 \, x^{2} + 4\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)^2/(27*x^2 + 4)^(1/3), x)","F",0
702,0,0,0,0.000000," ","integrate((2+3*x)/(27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x + 2}{{\left(27 \, x^{2} + 4\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)/(27*x^2 + 4)^(1/3), x)","F",0
703,0,0,0,0.000000," ","integrate(1/(2+3*x)/(27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(27 \, x^{2} + 4\right)}^{\frac{1}{3}} {\left(3 \, x + 2\right)}}\,{d x}"," ",0,"integrate(1/((27*x^2 + 4)^(1/3)*(3*x + 2)), x)","F",0
704,0,0,0,0.000000," ","integrate(1/(2+3*x)^2/(27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(27 \, x^{2} + 4\right)}^{\frac{1}{3}} {\left(3 \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate(1/((27*x^2 + 4)^(1/3)*(3*x + 2)^2), x)","F",0
705,0,0,0,0.000000," ","integrate(1/(2+3*x)^3/(27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(27 \, x^{2} + 4\right)}^{\frac{1}{3}} {\left(3 \, x + 2\right)}^{3}}\,{d x}"," ",0,"integrate(1/((27*x^2 + 4)^(1/3)*(3*x + 2)^3), x)","F",0
706,0,0,0,0.000000," ","integrate((2+3*I*x)^3/(-27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(3 i \, x + 2\right)}^{3}}{{\left(-27 \, x^{2} + 4\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*I*x + 2)^3/(-27*x^2 + 4)^(1/3), x)","F",0
707,0,0,0,0.000000," ","integrate((2+3*I*x)^2/(-27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(3 i \, x + 2\right)}^{2}}{{\left(-27 \, x^{2} + 4\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*I*x + 2)^2/(-27*x^2 + 4)^(1/3), x)","F",0
708,0,0,0,0.000000," ","integrate((2+3*I*x)/(-27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{3 i \, x + 2}{{\left(-27 \, x^{2} + 4\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*I*x + 2)/(-27*x^2 + 4)^(1/3), x)","F",0
709,0,0,0,0.000000," ","integrate(1/(2+3*I*x)/(-27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(-27 \, x^{2} + 4\right)}^{\frac{1}{3}} {\left(3 i \, x + 2\right)}}\,{d x}"," ",0,"integrate(1/((-27*x^2 + 4)^(1/3)*(3*I*x + 2)), x)","F",0
710,0,0,0,0.000000," ","integrate(1/(2+3*I*x)^2/(-27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(-27 \, x^{2} + 4\right)}^{\frac{1}{3}} {\left(3 i \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate(1/((-27*x^2 + 4)^(1/3)*(3*I*x + 2)^2), x)","F",0
711,0,0,0,0.000000," ","integrate(1/(2+3*I*x)^3/(-27*x^2+4)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(-27 \, x^{2} + 4\right)}^{\frac{1}{3}} {\left(3 i \, x + 2\right)}^{3}}\,{d x}"," ",0,"integrate(1/((-27*x^2 + 4)^(1/3)*(3*I*x + 2)^3), x)","F",0
712,0,0,0,0.000000," ","integrate(1/(x^2+1)^(1/3)/(x+3^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(x + \sqrt{3}\right)}}\,{d x}"," ",0,"integrate(1/((x^2 + 1)^(1/3)*(x + sqrt(3))), x)","F",0
713,0,0,0,0.000000," ","integrate(1/(x^2+1)^(1/3)/(-x+3^(1/2)),x, algorithm=""maxima"")","-\int \frac{1}{{\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(x - \sqrt{3}\right)}}\,{d x}"," ",0,"-integrate(1/((x^2 + 1)^(1/3)*(x - sqrt(3))), x)","F",0
714,0,0,0,0.000000," ","integrate(1/(3-x)/(-x^2+1)^(1/3),x, algorithm=""maxima"")","-\int \frac{1}{{\left(-x^{2} + 1\right)}^{\frac{1}{3}} {\left(x - 3\right)}}\,{d x}"," ",0,"-integrate(1/((-x^2 + 1)^(1/3)*(x - 3)), x)","F",0
715,0,0,0,0.000000," ","integrate(1/(3+x)/(-x^2+1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{2} + 1\right)}^{\frac{1}{3}} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate(1/((-x^2 + 1)^(1/3)*(x + 3)), x)","F",0
716,0,0,0,0.000000," ","integrate(1/(e*x+d)/(-9*e^2*x^2+d^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(-9 \, e^{2} x^{2} + d^{2}\right)}^{\frac{1}{3}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/((-9*e^2*x^2 + d^2)^(1/3)*(e*x + d)), x)","F",0
717,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x^2+c)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{2} + c\right)}^{\frac{1}{4}} {\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x^2 + c)^(1/4)*(b*x + a)), x)","F",0
718,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x^2+c)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x^{2} + c\right)}^{\frac{3}{4}} {\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x^2 + c)^(3/4)*(b*x + a)), x)","F",0
719,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{\frac{1}{4}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^(1/4)*(e*x + d)^(3/2)), x)","F",0
720,0,0,0,0.000000," ","integrate(1/(1+x)/(x^2+1)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 1\right)}^{\frac{1}{6}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 + 1)^(1/6)*(x + 1)), x)","F",0
721,1,472,0,1.557744," ","integrate((e*x+d)^m*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{m + 1} a^{3}}{e {\left(m + 1\right)}} + \frac{3 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a^{2} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{3 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} a c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{{\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d e^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{2} e^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{3} e^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{4} e^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} d^{5} e^{2} x^{2} - 720 \, d^{6} e m x + 720 \, d^{7}\right)} {\left(e x + d\right)}^{m} c^{3}}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} e^{7}}"," ",0,"(e*x + d)^(m + 1)*a^3/(e*(m + 1)) + 3*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^2*c/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 3*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*a*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + ((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*c^3/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7)","B",0
722,1,235,0,1.530581," ","integrate((e*x+d)^m*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{m + 1} a^{2}}{e {\left(m + 1\right)}} + \frac{2 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}}"," ",0,"(e*x + d)^(m + 1)*a^2/(e*(m + 1)) + 2*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a*c/((m^3 + 6*m^2 + 11*m + 6)*e^3) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5)","A",0
723,1,89,0,1.438741," ","integrate((e*x+d)^m*(c*x^2+a),x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{m + 1} a}{e {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}}"," ",0,"(e*x + d)^(m + 1)*a/(e*(m + 1)) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c/((m^3 + 6*m^2 + 11*m + 6)*e^3)","A",0
724,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + a), x)","F",0
725,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + a)^2, x)","F",0
726,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + a)^3, x)","F",0
727,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(e*x + d)^m, x)","F",0
728,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(e*x + d)^m, x)","F",0
729,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((e*x + d)^m/sqrt(c*x^2 + a), x)","F",0
730,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + a)^(3/2), x)","F",0
731,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(e*x + d)^m, x)","F",0
732,0,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(c x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^3*(c*x^2 + a)^p, x)","F",0
733,0,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(c x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^2*(c*x^2 + a)^p, x)","F",0
734,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(c x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)*(c*x^2 + a)^p, x)","F",0
735,0,0,0,0.000000," ","integrate((c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((c*x^2 + a)^p, x)","F",0
736,0,0,0,0.000000," ","integrate((c*x^2+a)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{p}}{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + a)^p/(e*x + d), x)","F",0
737,0,0,0,0.000000," ","integrate((c*x^2+a)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{p}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + a)^p/(e*x + d)^2, x)","F",0
738,0,0,0,0.000000," ","integrate((c*x^2+a)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{p}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((c*x^2 + a)^p/(e*x + d)^3, x)","F",0
739,0,0,0,0.000000," ","integrate((c*x^2+a)^p/((e*x+d)^(2*p)),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{p}}{{\left(e x + d\right)}^{2 \, p}}\,{d x}"," ",0,"integrate((c*x^2 + a)^p/(e*x + d)^(2*p), x)","F",0
740,0,0,0,0.000000," ","integrate((e*x+d)^(-1-2*p)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 1}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(e*x + d)^(-2*p - 1), x)","F",0
741,0,0,0,0.000000," ","integrate((e*x+d)^(-2-2*p)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 2}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(e*x + d)^(-2*p - 2), x)","F",0
742,0,0,0,0.000000," ","integrate((e*x+d)^(-3-2*p)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 3}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(e*x + d)^(-2*p - 3), x)","F",0
743,0,0,0,0.000000," ","integrate((e*x+d)^(-4-2*p)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 4}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(e*x + d)^(-2*p - 4), x)","F",0
744,0,0,0,0.000000," ","integrate((e*x+d)^(-5-2*p)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 5}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(e*x + d)^(-2*p - 5), x)","F",0
745,0,0,0,0.000000," ","integrate((e*x+d)^(-6-2*p)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 6}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(e*x + d)^(-2*p - 6), x)","F",0
746,0,0,0,0.000000," ","integrate((3-4*x)^n/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(-4 \, x + 3\right)}^{n}}{\sqrt{-x^{2} + 1}}\,{d x}"," ",0,"integrate((-4*x + 3)^n/sqrt(-x^2 + 1), x)","F",0
747,1,60,0,1.344276," ","integrate((b*x+a)^6/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{1}{5} \, b^{4} x^{5} - \frac{3}{2} \, a b^{3} x^{4} - \frac{16}{3} \, a^{2} b^{2} x^{3} - 13 \, a^{3} b x^{2} - 31 \, a^{4} x - \frac{32 \, a^{5} \log\left(b x - a\right)}{b}"," ",0,"-1/5*b^4*x^5 - 3/2*a*b^3*x^4 - 16/3*a^2*b^2*x^3 - 13*a^3*b*x^2 - 31*a^4*x - 32*a^5*log(b*x - a)/b","A",0
748,1,49,0,1.326609," ","integrate((b*x+a)^5/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{1}{4} \, b^{3} x^{4} - \frac{5}{3} \, a b^{2} x^{3} - \frac{11}{2} \, a^{2} b x^{2} - 15 \, a^{3} x - \frac{16 \, a^{4} \log\left(b x - a\right)}{b}"," ",0,"-1/4*b^3*x^4 - 5/3*a*b^2*x^3 - 11/2*a^2*b*x^2 - 15*a^3*x - 16*a^4*log(b*x - a)/b","A",0
749,1,38,0,1.360422," ","integrate((b*x+a)^4/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{1}{3} \, b^{2} x^{3} - 2 \, a b x^{2} - 7 \, a^{2} x - \frac{8 \, a^{3} \log\left(b x - a\right)}{b}"," ",0,"-1/3*b^2*x^3 - 2*a*b*x^2 - 7*a^2*x - 8*a^3*log(b*x - a)/b","A",0
750,1,27,0,1.368193," ","integrate((b*x+a)^3/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{1}{2} \, b x^{2} - 3 \, a x - \frac{4 \, a^{2} \log\left(b x - a\right)}{b}"," ",0,"-1/2*b*x^2 - 3*a*x - 4*a^2*log(b*x - a)/b","A",0
751,1,18,0,1.283620," ","integrate((b*x+a)^2/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-x - \frac{2 \, a \log\left(b x - a\right)}{b}"," ",0,"-x - 2*a*log(b*x - a)/b","A",0
752,1,13,0,1.321275," ","integrate((b*x+a)/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{\log\left(b x - a\right)}{b}"," ",0,"-log(b*x - a)/b","A",0
753,1,47,0,1.311717," ","integrate(1/(b*x+a)/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(a b^{2} x + a^{2} b\right)}} + \frac{\log\left(b x + a\right)}{4 \, a^{2} b} - \frac{\log\left(b x - a\right)}{4 \, a^{2} b}"," ",0,"-1/2/(a*b^2*x + a^2*b) + 1/4*log(b*x + a)/(a^2*b) - 1/4*log(b*x - a)/(a^2*b)","A",0
754,1,67,0,1.373793," ","integrate(1/(b*x+a)^2/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{b x + 2 \, a}{4 \, {\left(a^{2} b^{3} x^{2} + 2 \, a^{3} b^{2} x + a^{4} b\right)}} + \frac{\log\left(b x + a\right)}{8 \, a^{3} b} - \frac{\log\left(b x - a\right)}{8 \, a^{3} b}"," ",0,"-1/4*(b*x + 2*a)/(a^2*b^3*x^2 + 2*a^3*b^2*x + a^4*b) + 1/8*log(b*x + a)/(a^3*b) - 1/8*log(b*x - a)/(a^3*b)","A",0
755,1,90,0,1.471983," ","integrate(1/(b*x+a)^3/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{3 \, b^{2} x^{2} + 9 \, a b x + 10 \, a^{2}}{24 \, {\left(a^{3} b^{4} x^{3} + 3 \, a^{4} b^{3} x^{2} + 3 \, a^{5} b^{2} x + a^{6} b\right)}} + \frac{\log\left(b x + a\right)}{16 \, a^{4} b} - \frac{\log\left(b x - a\right)}{16 \, a^{4} b}"," ",0,"-1/24*(3*b^2*x^2 + 9*a*b*x + 10*a^2)/(a^3*b^4*x^3 + 3*a^4*b^3*x^2 + 3*a^5*b^2*x + a^6*b) + 1/16*log(b*x + a)/(a^4*b) - 1/16*log(b*x - a)/(a^4*b)","A",0
756,1,112,0,1.377896," ","integrate(1/(b*x+a)^4/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{3 \, b^{3} x^{3} + 12 \, a b^{2} x^{2} + 19 \, a^{2} b x + 16 \, a^{3}}{48 \, {\left(a^{4} b^{5} x^{4} + 4 \, a^{5} b^{4} x^{3} + 6 \, a^{6} b^{3} x^{2} + 4 \, a^{7} b^{2} x + a^{8} b\right)}} + \frac{\log\left(b x + a\right)}{32 \, a^{5} b} - \frac{\log\left(b x - a\right)}{32 \, a^{5} b}"," ",0,"-1/48*(3*b^3*x^3 + 12*a*b^2*x^2 + 19*a^2*b*x + 16*a^3)/(a^4*b^5*x^4 + 4*a^5*b^4*x^3 + 6*a^6*b^3*x^2 + 4*a^7*b^2*x + a^8*b) + 1/32*log(b*x + a)/(a^5*b) - 1/32*log(b*x - a)/(a^5*b)","A",0
757,1,66,0,1.348911," ","integrate((b*x+a)^7/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{3} x^{4} + \frac{7}{3} \, a b^{2} x^{3} + \frac{23}{2} \, a^{2} b x^{2} - \frac{32 \, a^{5}}{b^{2} x - a b} + 49 \, a^{3} x + \frac{80 \, a^{4} \log\left(b x - a\right)}{b}"," ",0,"1/4*b^3*x^4 + 7/3*a*b^2*x^3 + 23/2*a^2*b*x^2 - 32*a^5/(b^2*x - a*b) + 49*a^3*x + 80*a^4*log(b*x - a)/b","A",0
758,1,55,0,1.385082," ","integrate((b*x+a)^6/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} x^{3} + 3 \, a b x^{2} - \frac{16 \, a^{4}}{b^{2} x - a b} + 17 \, a^{2} x + \frac{32 \, a^{3} \log\left(b x - a\right)}{b}"," ",0,"1/3*b^2*x^3 + 3*a*b*x^2 - 16*a^4/(b^2*x - a*b) + 17*a^2*x + 32*a^3*log(b*x - a)/b","A",0
759,1,44,0,1.274292," ","integrate((b*x+a)^5/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} - \frac{8 \, a^{3}}{b^{2} x - a b} + 5 \, a x + \frac{12 \, a^{2} \log\left(b x - a\right)}{b}"," ",0,"1/2*b*x^2 - 8*a^3/(b^2*x - a*b) + 5*a*x + 12*a^2*log(b*x - a)/b","A",0
760,1,33,0,1.342758," ","integrate((b*x+a)^4/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{4 \, a^{2}}{b^{2} x - a b} + x + \frac{4 \, a \log\left(b x - a\right)}{b}"," ",0,"-4*a^2/(b^2*x - a*b) + x + 4*a*log(b*x - a)/b","A",0
761,1,28,0,1.411504," ","integrate((b*x+a)^3/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{2 \, a}{b^{2} x - a b} + \frac{\log\left(b x - a\right)}{b}"," ",0,"-2*a/(b^2*x - a*b) + log(b*x - a)/b","A",0
762,1,14,0,1.332614," ","integrate((b*x+a)^2/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{1}{b^{2} x - a b}"," ",0,"-1/(b^2*x - a*b)","A",0
763,1,48,0,1.335971," ","integrate((b*x+a)/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(a b^{2} x - a^{2} b\right)}} + \frac{\log\left(b x + a\right)}{4 \, a^{2} b} - \frac{\log\left(b x - a\right)}{4 \, a^{2} b}"," ",0,"-1/2/(a*b^2*x - a^2*b) + 1/4*log(b*x + a)/(a^2*b) - 1/4*log(b*x - a)/(a^2*b)","A",0
764,1,90,0,1.449243," ","integrate(1/(b*x+a)/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, b^{2} x^{2} + 3 \, a b x - 2 \, a^{2}}{8 \, {\left(a^{3} b^{4} x^{3} + a^{4} b^{3} x^{2} - a^{5} b^{2} x - a^{6} b\right)}} + \frac{3 \, \log\left(b x + a\right)}{16 \, a^{4} b} - \frac{3 \, \log\left(b x - a\right)}{16 \, a^{4} b}"," ",0,"-1/8*(3*b^2*x^2 + 3*a*b*x - 2*a^2)/(a^3*b^4*x^3 + a^4*b^3*x^2 - a^5*b^2*x - a^6*b) + 3/16*log(b*x + a)/(a^4*b) - 3/16*log(b*x - a)/(a^4*b)","A",0
765,1,101,0,1.432388," ","integrate(1/(b*x+a)^2/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + a^{2} b x - 4 \, a^{3}}{12 \, {\left(a^{4} b^{5} x^{4} + 2 \, a^{5} b^{4} x^{3} - 2 \, a^{7} b^{2} x - a^{8} b\right)}} + \frac{\log\left(b x + a\right)}{8 \, a^{5} b} - \frac{\log\left(b x - a\right)}{8 \, a^{5} b}"," ",0,"-1/12*(3*b^3*x^3 + 6*a*b^2*x^2 + a^2*b*x - 4*a^3)/(a^4*b^5*x^4 + 2*a^5*b^4*x^3 - 2*a^7*b^2*x - a^8*b) + 1/8*log(b*x + a)/(a^5*b) - 1/8*log(b*x - a)/(a^5*b)","A",0
766,1,135,0,1.426144," ","integrate(1/(b*x+a)^3/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{15 \, b^{4} x^{4} + 45 \, a b^{3} x^{3} + 35 \, a^{2} b^{2} x^{2} - 15 \, a^{3} b x - 32 \, a^{4}}{96 \, {\left(a^{5} b^{6} x^{5} + 3 \, a^{6} b^{5} x^{4} + 2 \, a^{7} b^{4} x^{3} - 2 \, a^{8} b^{3} x^{2} - 3 \, a^{9} b^{2} x - a^{10} b\right)}} + \frac{5 \, \log\left(b x + a\right)}{64 \, a^{6} b} - \frac{5 \, \log\left(b x - a\right)}{64 \, a^{6} b}"," ",0,"-1/96*(15*b^4*x^4 + 45*a*b^3*x^3 + 35*a^2*b^2*x^2 - 15*a^3*b*x - 32*a^4)/(a^5*b^6*x^5 + 3*a^6*b^5*x^4 + 2*a^7*b^4*x^3 - 2*a^8*b^3*x^2 - 3*a^9*b^2*x - a^10*b) + 5/64*log(b*x + a)/(a^6*b) - 5/64*log(b*x - a)/(a^6*b)","A",0
767,1,75,0,1.398860," ","integrate((b*x+a)^8/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","-\frac{1}{3} \, b^{2} x^{3} - 4 \, a b x^{2} - 31 \, a^{2} x - \frac{80 \, a^{3} \log\left(b x - a\right)}{b} + \frac{16 \, {\left(5 \, a^{4} b x - 4 \, a^{5}\right)}}{b^{3} x^{2} - 2 \, a b^{2} x + a^{2} b}"," ",0,"-1/3*b^2*x^3 - 4*a*b*x^2 - 31*a^2*x - 80*a^3*log(b*x - a)/b + 16*(5*a^4*b*x - 4*a^5)/(b^3*x^2 - 2*a*b^2*x + a^2*b)","A",0
768,1,64,0,1.379591," ","integrate((b*x+a)^7/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, b x^{2} - 7 \, a x - \frac{24 \, a^{2} \log\left(b x - a\right)}{b} + \frac{8 \, {\left(4 \, a^{3} b x - 3 \, a^{4}\right)}}{b^{3} x^{2} - 2 \, a b^{2} x + a^{2} b}"," ",0,"-1/2*b*x^2 - 7*a*x - 24*a^2*log(b*x - a)/b + 8*(4*a^3*b*x - 3*a^4)/(b^3*x^2 - 2*a*b^2*x + a^2*b)","A",0
769,1,55,0,1.319834," ","integrate((b*x+a)^6/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","-x - \frac{6 \, a \log\left(b x - a\right)}{b} + \frac{4 \, {\left(3 \, a^{2} b x - 2 \, a^{3}\right)}}{b^{3} x^{2} - 2 \, a b^{2} x + a^{2} b}"," ",0,"-x - 6*a*log(b*x - a)/b + 4*(3*a^2*b*x - 2*a^3)/(b^3*x^2 - 2*a*b^2*x + a^2*b)","A",0
770,1,49,0,1.359052," ","integrate((b*x+a)^5/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, a b x - a^{2}\right)}}{b^{3} x^{2} - 2 \, a b^{2} x + a^{2} b} - \frac{\log\left(b x - a\right)}{b}"," ",0,"2*(2*a*b*x - a^2)/(b^3*x^2 - 2*a*b^2*x + a^2*b) - log(b*x - a)/b","A",0
771,1,20,0,1.337416," ","integrate((b*x+a)^4/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","\frac{x}{b^{2} x^{2} - 2 \, a b x + a^{2}}"," ",0,"x/(b^2*x^2 - 2*a*b*x + a^2)","A",0
772,1,24,0,1.320419," ","integrate((b*x+a)^3/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(b^{3} x^{2} - 2 \, a b^{2} x + a^{2} b\right)}}"," ",0,"1/2/(b^3*x^2 - 2*a*b^2*x + a^2*b)","A",0
773,1,67,0,1.398691," ","integrate((b*x+a)^2/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","-\frac{b x - 2 \, a}{4 \, {\left(a^{2} b^{3} x^{2} - 2 \, a^{3} b^{2} x + a^{4} b\right)}} + \frac{\log\left(b x + a\right)}{8 \, a^{3} b} - \frac{\log\left(b x - a\right)}{8 \, a^{3} b}"," ",0,"-1/4*(b*x - 2*a)/(a^2*b^3*x^2 - 2*a^3*b^2*x + a^4*b) + 1/8*log(b*x + a)/(a^3*b) - 1/8*log(b*x - a)/(a^3*b)","A",0
774,1,90,0,1.327498," ","integrate((b*x+a)/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","-\frac{3 \, b^{2} x^{2} - 3 \, a b x - 2 \, a^{2}}{8 \, {\left(a^{3} b^{4} x^{3} - a^{4} b^{3} x^{2} - a^{5} b^{2} x + a^{6} b\right)}} + \frac{3 \, \log\left(b x + a\right)}{16 \, a^{4} b} - \frac{3 \, \log\left(b x - a\right)}{16 \, a^{4} b}"," ",0,"-1/8*(3*b^2*x^2 - 3*a*b*x - 2*a^2)/(a^3*b^4*x^3 - a^4*b^3*x^2 - a^5*b^2*x + a^6*b) + 3/16*log(b*x + a)/(a^4*b) - 3/16*log(b*x - a)/(a^4*b)","A",0
775,1,132,0,1.390368," ","integrate(1/(b*x+a)/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","-\frac{15 \, b^{4} x^{4} + 15 \, a b^{3} x^{3} - 25 \, a^{2} b^{2} x^{2} - 25 \, a^{3} b x + 8 \, a^{4}}{48 \, {\left(a^{5} b^{6} x^{5} + a^{6} b^{5} x^{4} - 2 \, a^{7} b^{4} x^{3} - 2 \, a^{8} b^{3} x^{2} + a^{9} b^{2} x + a^{10} b\right)}} + \frac{5 \, \log\left(b x + a\right)}{32 \, a^{6} b} - \frac{5 \, \log\left(b x - a\right)}{32 \, a^{6} b}"," ",0,"-1/48*(15*b^4*x^4 + 15*a*b^3*x^3 - 25*a^2*b^2*x^2 - 25*a^3*b*x + 8*a^4)/(a^5*b^6*x^5 + a^6*b^5*x^4 - 2*a^7*b^4*x^3 - 2*a^8*b^3*x^2 + a^9*b^2*x + a^10*b) + 5/32*log(b*x + a)/(a^6*b) - 5/32*log(b*x - a)/(a^6*b)","A",0
776,1,156,0,1.573335," ","integrate(1/(b*x+a)^2/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","-\frac{15 \, b^{5} x^{5} + 30 \, a b^{4} x^{4} - 10 \, a^{2} b^{3} x^{3} - 50 \, a^{3} b^{2} x^{2} - 17 \, a^{4} b x + 16 \, a^{5}}{64 \, {\left(a^{6} b^{7} x^{6} + 2 \, a^{7} b^{6} x^{5} - a^{8} b^{5} x^{4} - 4 \, a^{9} b^{4} x^{3} - a^{10} b^{3} x^{2} + 2 \, a^{11} b^{2} x + a^{12} b\right)}} + \frac{15 \, \log\left(b x + a\right)}{128 \, a^{7} b} - \frac{15 \, \log\left(b x - a\right)}{128 \, a^{7} b}"," ",0,"-1/64*(15*b^5*x^5 + 30*a*b^4*x^4 - 10*a^2*b^3*x^3 - 50*a^3*b^2*x^2 - 17*a^4*b*x + 16*a^5)/(a^6*b^7*x^6 + 2*a^7*b^6*x^5 - a^8*b^5*x^4 - 4*a^9*b^4*x^3 - a^10*b^3*x^2 + 2*a^11*b^2*x + a^12*b) + 15/128*log(b*x + a)/(a^7*b) - 15/128*log(b*x - a)/(a^7*b)","A",0
777,1,121,0,2.977572," ","integrate((b*x+a)^4*(-b^2*x^2+a^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} b^{2} x^{3} + \frac{21 \, a^{6} \arcsin\left(\frac{b x}{a}\right)}{16 \, b} + \frac{21}{16} \, \sqrt{-b^{2} x^{2} + a^{2}} a^{4} x - \frac{4}{5} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} a b x^{2} - \frac{13}{8} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} a^{2} x - \frac{28 \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} a^{3}}{15 \, b}"," ",0,"-1/6*(-b^2*x^2 + a^2)^(3/2)*b^2*x^3 + 21/16*a^6*arcsin(b*x/a)/b + 21/16*sqrt(-b^2*x^2 + a^2)*a^4*x - 4/5*(-b^2*x^2 + a^2)^(3/2)*a*b*x^2 - 13/8*(-b^2*x^2 + a^2)^(3/2)*a^2*x - 28/15*(-b^2*x^2 + a^2)^(3/2)*a^3/b","A",0
778,1,96,0,2.997422," ","integrate((b*x+a)^3*(-b^2*x^2+a^2)^(1/2),x, algorithm=""maxima"")","\frac{7 \, a^{5} \arcsin\left(\frac{b x}{a}\right)}{8 \, b} + \frac{7}{8} \, \sqrt{-b^{2} x^{2} + a^{2}} a^{3} x - \frac{1}{5} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} b x^{2} - \frac{3}{4} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} a x - \frac{17 \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} a^{2}}{15 \, b}"," ",0,"7/8*a^5*arcsin(b*x/a)/b + 7/8*sqrt(-b^2*x^2 + a^2)*a^3*x - 1/5*(-b^2*x^2 + a^2)^(3/2)*b*x^2 - 3/4*(-b^2*x^2 + a^2)^(3/2)*a*x - 17/15*(-b^2*x^2 + a^2)^(3/2)*a^2/b","A",0
779,1,73,0,2.804598," ","integrate((b*x+a)^2*(-b^2*x^2+a^2)^(1/2),x, algorithm=""maxima"")","\frac{5 \, a^{4} \arcsin\left(\frac{b x}{a}\right)}{8 \, b} + \frac{5}{8} \, \sqrt{-b^{2} x^{2} + a^{2}} a^{2} x - \frac{1}{4} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} x - \frac{2 \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} a}{3 \, b}"," ",0,"5/8*a^4*arcsin(b*x/a)/b + 5/8*sqrt(-b^2*x^2 + a^2)*a^2*x - 1/4*(-b^2*x^2 + a^2)^(3/2)*x - 2/3*(-b^2*x^2 + a^2)^(3/2)*a/b","A",0
780,1,53,0,2.981130," ","integrate((b*x+a)*(-b^2*x^2+a^2)^(1/2),x, algorithm=""maxima"")","\frac{a^{3} \arcsin\left(\frac{b x}{a}\right)}{2 \, b} + \frac{1}{2} \, \sqrt{-b^{2} x^{2} + a^{2}} a x - \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"1/2*a^3*arcsin(b*x/a)/b + 1/2*sqrt(-b^2*x^2 + a^2)*a*x - 1/3*(-b^2*x^2 + a^2)^(3/2)/b","A",0
781,1,31,0,2.894806," ","integrate((-b^2*x^2+a^2)^(1/2)/(b*x+a),x, algorithm=""maxima"")","\frac{a \arcsin\left(\frac{b x}{a}\right)}{b} + \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{b}"," ",0,"a*arcsin(b*x/a)/b + sqrt(-b^2*x^2 + a^2)/b","A",0
782,1,40,0,2.952609," ","integrate((-b^2*x^2+a^2)^(1/2)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\arcsin\left(\frac{b x}{a}\right)}{b} - \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{b^{2} x + a b}"," ",0,"-arcsin(b*x/a)/b - 2*sqrt(-b^2*x^2 + a^2)/(b^2*x + a*b)","A",0
783,1,69,0,1.343973," ","integrate((-b^2*x^2+a^2)^(1/2)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{3 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}} + \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{3 \, {\left(a b^{2} x + a^{2} b\right)}}"," ",0,"-2/3*sqrt(-b^2*x^2 + a^2)/(b^3*x^2 + 2*a*b^2*x + a^2*b) + 1/3*sqrt(-b^2*x^2 + a^2)/(a*b^2*x + a^2*b)","B",0
784,1,123,0,1.349040," ","integrate((-b^2*x^2+a^2)^(1/2)/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{5 \, {\left(b^{4} x^{3} + 3 \, a b^{3} x^{2} + 3 \, a^{2} b^{2} x + a^{3} b\right)}} + \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{15 \, {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)}} + \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{15 \, {\left(a^{2} b^{2} x + a^{3} b\right)}}"," ",0,"-2/5*sqrt(-b^2*x^2 + a^2)/(b^4*x^3 + 3*a*b^3*x^2 + 3*a^2*b^2*x + a^3*b) + 1/15*sqrt(-b^2*x^2 + a^2)/(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b) + 1/15*sqrt(-b^2*x^2 + a^2)/(a^2*b^2*x + a^3*b)","B",0
785,1,188,0,1.377883," ","integrate((-b^2*x^2+a^2)^(1/2)/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{7 \, {\left(b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b\right)}} + \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{35 \, {\left(a b^{4} x^{3} + 3 \, a^{2} b^{3} x^{2} + 3 \, a^{3} b^{2} x + a^{4} b\right)}} + \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{105 \, {\left(a^{2} b^{3} x^{2} + 2 \, a^{3} b^{2} x + a^{4} b\right)}} + \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{105 \, {\left(a^{3} b^{2} x + a^{4} b\right)}}"," ",0,"-2/7*sqrt(-b^2*x^2 + a^2)/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b) + 1/35*sqrt(-b^2*x^2 + a^2)/(a*b^4*x^3 + 3*a^2*b^3*x^2 + 3*a^3*b^2*x + a^4*b) + 2/105*sqrt(-b^2*x^2 + a^2)/(a^2*b^3*x^2 + 2*a^3*b^2*x + a^4*b) + 2/105*sqrt(-b^2*x^2 + a^2)/(a^3*b^2*x + a^4*b)","B",0
786,1,264,0,1.452722," ","integrate((-b^2*x^2+a^2)^(1/2)/(b*x+a)^6,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{9 \, {\left(b^{6} x^{5} + 5 \, a b^{5} x^{4} + 10 \, a^{2} b^{4} x^{3} + 10 \, a^{3} b^{3} x^{2} + 5 \, a^{4} b^{2} x + a^{5} b\right)}} + \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{63 \, {\left(a b^{5} x^{4} + 4 \, a^{2} b^{4} x^{3} + 6 \, a^{3} b^{3} x^{2} + 4 \, a^{4} b^{2} x + a^{5} b\right)}} + \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{105 \, {\left(a^{2} b^{4} x^{3} + 3 \, a^{3} b^{3} x^{2} + 3 \, a^{4} b^{2} x + a^{5} b\right)}} + \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{315 \, {\left(a^{3} b^{3} x^{2} + 2 \, a^{4} b^{2} x + a^{5} b\right)}} + \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{315 \, {\left(a^{4} b^{2} x + a^{5} b\right)}}"," ",0,"-2/9*sqrt(-b^2*x^2 + a^2)/(b^6*x^5 + 5*a*b^5*x^4 + 10*a^2*b^4*x^3 + 10*a^3*b^3*x^2 + 5*a^4*b^2*x + a^5*b) + 1/63*sqrt(-b^2*x^2 + a^2)/(a*b^5*x^4 + 4*a^2*b^4*x^3 + 6*a^3*b^3*x^2 + 4*a^4*b^2*x + a^5*b) + 1/105*sqrt(-b^2*x^2 + a^2)/(a^2*b^4*x^3 + 3*a^3*b^3*x^2 + 3*a^4*b^2*x + a^5*b) + 2/315*sqrt(-b^2*x^2 + a^2)/(a^3*b^3*x^2 + 2*a^4*b^2*x + a^5*b) + 2/315*sqrt(-b^2*x^2 + a^2)/(a^4*b^2*x + a^5*b)","B",0
787,1,351,0,1.465712," ","integrate((-b^2*x^2+a^2)^(1/2)/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{11 \, {\left(b^{7} x^{6} + 6 \, a b^{6} x^{5} + 15 \, a^{2} b^{5} x^{4} + 20 \, a^{3} b^{4} x^{3} + 15 \, a^{4} b^{3} x^{2} + 6 \, a^{5} b^{2} x + a^{6} b\right)}} + \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{99 \, {\left(a b^{6} x^{5} + 5 \, a^{2} b^{5} x^{4} + 10 \, a^{3} b^{4} x^{3} + 10 \, a^{4} b^{3} x^{2} + 5 \, a^{5} b^{2} x + a^{6} b\right)}} + \frac{4 \, \sqrt{-b^{2} x^{2} + a^{2}}}{693 \, {\left(a^{2} b^{5} x^{4} + 4 \, a^{3} b^{4} x^{3} + 6 \, a^{4} b^{3} x^{2} + 4 \, a^{5} b^{2} x + a^{6} b\right)}} + \frac{4 \, \sqrt{-b^{2} x^{2} + a^{2}}}{1155 \, {\left(a^{3} b^{4} x^{3} + 3 \, a^{4} b^{3} x^{2} + 3 \, a^{5} b^{2} x + a^{6} b\right)}} + \frac{8 \, \sqrt{-b^{2} x^{2} + a^{2}}}{3465 \, {\left(a^{4} b^{3} x^{2} + 2 \, a^{5} b^{2} x + a^{6} b\right)}} + \frac{8 \, \sqrt{-b^{2} x^{2} + a^{2}}}{3465 \, {\left(a^{5} b^{2} x + a^{6} b\right)}}"," ",0,"-2/11*sqrt(-b^2*x^2 + a^2)/(b^7*x^6 + 6*a*b^6*x^5 + 15*a^2*b^5*x^4 + 20*a^3*b^4*x^3 + 15*a^4*b^3*x^2 + 6*a^5*b^2*x + a^6*b) + 1/99*sqrt(-b^2*x^2 + a^2)/(a*b^6*x^5 + 5*a^2*b^5*x^4 + 10*a^3*b^4*x^3 + 10*a^4*b^3*x^2 + 5*a^5*b^2*x + a^6*b) + 4/693*sqrt(-b^2*x^2 + a^2)/(a^2*b^5*x^4 + 4*a^3*b^4*x^3 + 6*a^4*b^3*x^2 + 4*a^5*b^2*x + a^6*b) + 4/1155*sqrt(-b^2*x^2 + a^2)/(a^3*b^4*x^3 + 3*a^4*b^3*x^2 + 3*a^5*b^2*x + a^6*b) + 8/3465*sqrt(-b^2*x^2 + a^2)/(a^4*b^3*x^2 + 2*a^5*b^2*x + a^6*b) + 8/3465*sqrt(-b^2*x^2 + a^2)/(a^5*b^2*x + a^6*b)","B",0
788,1,116,0,2.972827," ","integrate((b*x+a)^3*(-b^2*x^2+a^2)^(3/2),x, algorithm=""maxima"")","\frac{9 \, a^{7} \arcsin\left(\frac{b x}{a}\right)}{16 \, b} + \frac{9}{16} \, \sqrt{-b^{2} x^{2} + a^{2}} a^{5} x + \frac{3}{8} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} a^{3} x - \frac{1}{7} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{5}{2}} b x^{2} - \frac{1}{2} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{5}{2}} a x - \frac{23 \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{5}{2}} a^{2}}{35 \, b}"," ",0,"9/16*a^7*arcsin(b*x/a)/b + 9/16*sqrt(-b^2*x^2 + a^2)*a^5*x + 3/8*(-b^2*x^2 + a^2)^(3/2)*a^3*x - 1/7*(-b^2*x^2 + a^2)^(5/2)*b*x^2 - 1/2*(-b^2*x^2 + a^2)^(5/2)*a*x - 23/35*(-b^2*x^2 + a^2)^(5/2)*a^2/b","A",0
789,1,93,0,3.014272," ","integrate((b*x+a)^2*(-b^2*x^2+a^2)^(3/2),x, algorithm=""maxima"")","\frac{7 \, a^{6} \arcsin\left(\frac{b x}{a}\right)}{16 \, b} + \frac{7}{16} \, \sqrt{-b^{2} x^{2} + a^{2}} a^{4} x + \frac{7}{24} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} a^{2} x - \frac{1}{6} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{5}{2}} x - \frac{2 \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{5}{2}} a}{5 \, b}"," ",0,"7/16*a^6*arcsin(b*x/a)/b + 7/16*sqrt(-b^2*x^2 + a^2)*a^4*x + 7/24*(-b^2*x^2 + a^2)^(3/2)*a^2*x - 1/6*(-b^2*x^2 + a^2)^(5/2)*x - 2/5*(-b^2*x^2 + a^2)^(5/2)*a/b","A",0
790,1,73,0,2.976424," ","integrate((b*x+a)*(-b^2*x^2+a^2)^(3/2),x, algorithm=""maxima"")","\frac{3 \, a^{5} \arcsin\left(\frac{b x}{a}\right)}{8 \, b} + \frac{3}{8} \, \sqrt{-b^{2} x^{2} + a^{2}} a^{3} x + \frac{1}{4} \, {\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}} a x - \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{5}{2}}}{5 \, b}"," ",0,"3/8*a^5*arcsin(b*x/a)/b + 3/8*sqrt(-b^2*x^2 + a^2)*a^3*x + 1/4*(-b^2*x^2 + a^2)^(3/2)*a*x - 1/5*(-b^2*x^2 + a^2)^(5/2)/b","A",0
791,1,88,0,2.997745," ","integrate((-b^2*x^2+a^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{i \, a^{3} \arcsin\left(\frac{b x}{a} + 2\right)}{2 \, b} + \frac{1}{2} \, \sqrt{b^{2} x^{2} + 4 \, a b x + 3 \, a^{2}} a x + \frac{\sqrt{b^{2} x^{2} + 4 \, a b x + 3 \, a^{2}} a^{2}}{b} + \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"-1/2*I*a^3*arcsin(b*x/a + 2)/b + 1/2*sqrt(b^2*x^2 + 4*a*b*x + 3*a^2)*a*x + sqrt(b^2*x^2 + 4*a*b*x + 3*a^2)*a^2/b + 1/3*(-b^2*x^2 + a^2)^(3/2)/b","C",0
792,1,63,0,3.041082," ","integrate((-b^2*x^2+a^2)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{3 \, a^{2} \arcsin\left(\frac{b x}{a}\right)}{2 \, b} + \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{2 \, {\left(b^{2} x + a b\right)}} + \frac{3 \, \sqrt{-b^{2} x^{2} + a^{2}} a}{2 \, b}"," ",0,"3/2*a^2*arcsin(b*x/a)/b + 1/2*(-b^2*x^2 + a^2)^(3/2)/(b^2*x + a*b) + 3/2*sqrt(-b^2*x^2 + a^2)*a/b","A",0
793,1,79,0,2.982972," ","integrate((-b^2*x^2+a^2)^(3/2)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{3 \, a \arcsin\left(\frac{b x}{a}\right)}{b} + \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b} - \frac{6 \, \sqrt{-b^{2} x^{2} + a^{2}} a}{b^{2} x + a b}"," ",0,"-3*a*arcsin(b*x/a)/b + (-b^2*x^2 + a^2)^(3/2)/(b^3*x^2 + 2*a*b^2*x + a^2*b) - 6*sqrt(-b^2*x^2 + a^2)*a/(b^2*x + a*b)","A",0
794,1,127,0,3.084393," ","integrate((-b^2*x^2+a^2)^(3/2)/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{3 \, {\left(b^{4} x^{3} + 3 \, a b^{3} x^{2} + 3 \, a^{2} b^{2} x + a^{3} b\right)}} - \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}} a}{3 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}} + \frac{\arcsin\left(\frac{b x}{a}\right)}{b} + \frac{7 \, \sqrt{-b^{2} x^{2} + a^{2}}}{3 \, {\left(b^{2} x + a b\right)}}"," ",0,"-1/3*(-b^2*x^2 + a^2)^(3/2)/(b^4*x^3 + 3*a*b^3*x^2 + 3*a^2*b^2*x + a^3*b) - 2/3*sqrt(-b^2*x^2 + a^2)*a/(b^3*x^2 + 2*a*b^2*x + a^2*b) + arcsin(b*x/a)/b + 7/3*sqrt(-b^2*x^2 + a^2)/(b^2*x + a*b)","A",0
795,1,179,0,1.519321," ","integrate((-b^2*x^2+a^2)^(3/2)/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b} + \frac{6 \, \sqrt{-b^{2} x^{2} + a^{2}} a}{5 \, {\left(b^{4} x^{3} + 3 \, a b^{3} x^{2} + 3 \, a^{2} b^{2} x + a^{3} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{5 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{5 \, {\left(a b^{2} x + a^{2} b\right)}}"," ",0,"-(-b^2*x^2 + a^2)^(3/2)/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b) + 6/5*sqrt(-b^2*x^2 + a^2)*a/(b^4*x^3 + 3*a*b^3*x^2 + 3*a^2*b^2*x + a^3*b) - 1/5*sqrt(-b^2*x^2 + a^2)/(b^3*x^2 + 2*a*b^2*x + a^2*b) - 1/5*sqrt(-b^2*x^2 + a^2)/(a*b^2*x + a^2*b)","B",0
796,1,255,0,1.446640," ","integrate((-b^2*x^2+a^2)^(3/2)/(b*x+a)^6,x, algorithm=""maxima"")","-\frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{2 \, {\left(b^{6} x^{5} + 5 \, a b^{5} x^{4} + 10 \, a^{2} b^{4} x^{3} + 10 \, a^{3} b^{3} x^{2} + 5 \, a^{4} b^{2} x + a^{5} b\right)}} + \frac{3 \, \sqrt{-b^{2} x^{2} + a^{2}} a}{7 \, {\left(b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b\right)}} - \frac{3 \, \sqrt{-b^{2} x^{2} + a^{2}}}{70 \, {\left(b^{4} x^{3} + 3 \, a b^{3} x^{2} + 3 \, a^{2} b^{2} x + a^{3} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{35 \, {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{35 \, {\left(a^{2} b^{2} x + a^{3} b\right)}}"," ",0,"-1/2*(-b^2*x^2 + a^2)^(3/2)/(b^6*x^5 + 5*a*b^5*x^4 + 10*a^2*b^4*x^3 + 10*a^3*b^3*x^2 + 5*a^4*b^2*x + a^5*b) + 3/7*sqrt(-b^2*x^2 + a^2)*a/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b) - 3/70*sqrt(-b^2*x^2 + a^2)/(b^4*x^3 + 3*a*b^3*x^2 + 3*a^2*b^2*x + a^3*b) - 1/35*sqrt(-b^2*x^2 + a^2)/(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b) - 1/35*sqrt(-b^2*x^2 + a^2)/(a^2*b^2*x + a^3*b)","B",0
797,1,342,0,1.441417," ","integrate((-b^2*x^2+a^2)^(3/2)/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{3 \, {\left(b^{7} x^{6} + 6 \, a b^{6} x^{5} + 15 \, a^{2} b^{5} x^{4} + 20 \, a^{3} b^{4} x^{3} + 15 \, a^{4} b^{3} x^{2} + 6 \, a^{5} b^{2} x + a^{6} b\right)}} + \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}} a}{9 \, {\left(b^{6} x^{5} + 5 \, a b^{5} x^{4} + 10 \, a^{2} b^{4} x^{3} + 10 \, a^{3} b^{3} x^{2} + 5 \, a^{4} b^{2} x + a^{5} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{63 \, {\left(b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{105 \, {\left(a b^{4} x^{3} + 3 \, a^{2} b^{3} x^{2} + 3 \, a^{3} b^{2} x + a^{4} b\right)}} - \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{315 \, {\left(a^{2} b^{3} x^{2} + 2 \, a^{3} b^{2} x + a^{4} b\right)}} - \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{315 \, {\left(a^{3} b^{2} x + a^{4} b\right)}}"," ",0,"-1/3*(-b^2*x^2 + a^2)^(3/2)/(b^7*x^6 + 6*a*b^6*x^5 + 15*a^2*b^5*x^4 + 20*a^3*b^4*x^3 + 15*a^4*b^3*x^2 + 6*a^5*b^2*x + a^6*b) + 2/9*sqrt(-b^2*x^2 + a^2)*a/(b^6*x^5 + 5*a*b^5*x^4 + 10*a^2*b^4*x^3 + 10*a^3*b^3*x^2 + 5*a^4*b^2*x + a^5*b) - 1/63*sqrt(-b^2*x^2 + a^2)/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b) - 1/105*sqrt(-b^2*x^2 + a^2)/(a*b^4*x^3 + 3*a^2*b^3*x^2 + 3*a^3*b^2*x + a^4*b) - 2/315*sqrt(-b^2*x^2 + a^2)/(a^2*b^3*x^2 + 2*a^3*b^2*x + a^4*b) - 2/315*sqrt(-b^2*x^2 + a^2)/(a^3*b^2*x + a^4*b)","B",0
798,1,440,0,1.519765," ","integrate((-b^2*x^2+a^2)^(3/2)/(b*x+a)^8,x, algorithm=""maxima"")","-\frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{4 \, {\left(b^{8} x^{7} + 7 \, a b^{7} x^{6} + 21 \, a^{2} b^{6} x^{5} + 35 \, a^{3} b^{5} x^{4} + 35 \, a^{4} b^{4} x^{3} + 21 \, a^{5} b^{3} x^{2} + 7 \, a^{6} b^{2} x + a^{7} b\right)}} + \frac{3 \, \sqrt{-b^{2} x^{2} + a^{2}} a}{22 \, {\left(b^{7} x^{6} + 6 \, a b^{6} x^{5} + 15 \, a^{2} b^{5} x^{4} + 20 \, a^{3} b^{4} x^{3} + 15 \, a^{4} b^{3} x^{2} + 6 \, a^{5} b^{2} x + a^{6} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{132 \, {\left(b^{6} x^{5} + 5 \, a b^{5} x^{4} + 10 \, a^{2} b^{4} x^{3} + 10 \, a^{3} b^{3} x^{2} + 5 \, a^{4} b^{2} x + a^{5} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{231 \, {\left(a b^{5} x^{4} + 4 \, a^{2} b^{4} x^{3} + 6 \, a^{3} b^{3} x^{2} + 4 \, a^{4} b^{2} x + a^{5} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{385 \, {\left(a^{2} b^{4} x^{3} + 3 \, a^{3} b^{3} x^{2} + 3 \, a^{4} b^{2} x + a^{5} b\right)}} - \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{1155 \, {\left(a^{3} b^{3} x^{2} + 2 \, a^{4} b^{2} x + a^{5} b\right)}} - \frac{2 \, \sqrt{-b^{2} x^{2} + a^{2}}}{1155 \, {\left(a^{4} b^{2} x + a^{5} b\right)}}"," ",0,"-1/4*(-b^2*x^2 + a^2)^(3/2)/(b^8*x^7 + 7*a*b^7*x^6 + 21*a^2*b^6*x^5 + 35*a^3*b^5*x^4 + 35*a^4*b^4*x^3 + 21*a^5*b^3*x^2 + 7*a^6*b^2*x + a^7*b) + 3/22*sqrt(-b^2*x^2 + a^2)*a/(b^7*x^6 + 6*a*b^6*x^5 + 15*a^2*b^5*x^4 + 20*a^3*b^4*x^3 + 15*a^4*b^3*x^2 + 6*a^5*b^2*x + a^6*b) - 1/132*sqrt(-b^2*x^2 + a^2)/(b^6*x^5 + 5*a*b^5*x^4 + 10*a^2*b^4*x^3 + 10*a^3*b^3*x^2 + 5*a^4*b^2*x + a^5*b) - 1/231*sqrt(-b^2*x^2 + a^2)/(a*b^5*x^4 + 4*a^2*b^4*x^3 + 6*a^3*b^3*x^2 + 4*a^4*b^2*x + a^5*b) - 1/385*sqrt(-b^2*x^2 + a^2)/(a^2*b^4*x^3 + 3*a^3*b^3*x^2 + 3*a^4*b^2*x + a^5*b) - 2/1155*sqrt(-b^2*x^2 + a^2)/(a^3*b^3*x^2 + 2*a^4*b^2*x + a^5*b) - 2/1155*sqrt(-b^2*x^2 + a^2)/(a^4*b^2*x + a^5*b)","B",0
799,1,549,0,1.557043," ","integrate((-b^2*x^2+a^2)^(3/2)/(b*x+a)^9,x, algorithm=""maxima"")","-\frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{\frac{3}{2}}}{5 \, {\left(b^{9} x^{8} + 8 \, a b^{8} x^{7} + 28 \, a^{2} b^{7} x^{6} + 56 \, a^{3} b^{6} x^{5} + 70 \, a^{4} b^{5} x^{4} + 56 \, a^{5} b^{4} x^{3} + 28 \, a^{6} b^{3} x^{2} + 8 \, a^{7} b^{2} x + a^{8} b\right)}} + \frac{6 \, \sqrt{-b^{2} x^{2} + a^{2}} a}{65 \, {\left(b^{8} x^{7} + 7 \, a b^{7} x^{6} + 21 \, a^{2} b^{6} x^{5} + 35 \, a^{3} b^{5} x^{4} + 35 \, a^{4} b^{4} x^{3} + 21 \, a^{5} b^{3} x^{2} + 7 \, a^{6} b^{2} x + a^{7} b\right)}} - \frac{3 \, \sqrt{-b^{2} x^{2} + a^{2}}}{715 \, {\left(b^{7} x^{6} + 6 \, a b^{6} x^{5} + 15 \, a^{2} b^{5} x^{4} + 20 \, a^{3} b^{4} x^{3} + 15 \, a^{4} b^{3} x^{2} + 6 \, a^{5} b^{2} x + a^{6} b\right)}} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{429 \, {\left(a b^{6} x^{5} + 5 \, a^{2} b^{5} x^{4} + 10 \, a^{3} b^{4} x^{3} + 10 \, a^{4} b^{3} x^{2} + 5 \, a^{5} b^{2} x + a^{6} b\right)}} - \frac{4 \, \sqrt{-b^{2} x^{2} + a^{2}}}{3003 \, {\left(a^{2} b^{5} x^{4} + 4 \, a^{3} b^{4} x^{3} + 6 \, a^{4} b^{3} x^{2} + 4 \, a^{5} b^{2} x + a^{6} b\right)}} - \frac{4 \, \sqrt{-b^{2} x^{2} + a^{2}}}{5005 \, {\left(a^{3} b^{4} x^{3} + 3 \, a^{4} b^{3} x^{2} + 3 \, a^{5} b^{2} x + a^{6} b\right)}} - \frac{8 \, \sqrt{-b^{2} x^{2} + a^{2}}}{15015 \, {\left(a^{4} b^{3} x^{2} + 2 \, a^{5} b^{2} x + a^{6} b\right)}} - \frac{8 \, \sqrt{-b^{2} x^{2} + a^{2}}}{15015 \, {\left(a^{5} b^{2} x + a^{6} b\right)}}"," ",0,"-1/5*(-b^2*x^2 + a^2)^(3/2)/(b^9*x^8 + 8*a*b^8*x^7 + 28*a^2*b^7*x^6 + 56*a^3*b^6*x^5 + 70*a^4*b^5*x^4 + 56*a^5*b^4*x^3 + 28*a^6*b^3*x^2 + 8*a^7*b^2*x + a^8*b) + 6/65*sqrt(-b^2*x^2 + a^2)*a/(b^8*x^7 + 7*a*b^7*x^6 + 21*a^2*b^6*x^5 + 35*a^3*b^5*x^4 + 35*a^4*b^4*x^3 + 21*a^5*b^3*x^2 + 7*a^6*b^2*x + a^7*b) - 3/715*sqrt(-b^2*x^2 + a^2)/(b^7*x^6 + 6*a*b^6*x^5 + 15*a^2*b^5*x^4 + 20*a^3*b^4*x^3 + 15*a^4*b^3*x^2 + 6*a^5*b^2*x + a^6*b) - 1/429*sqrt(-b^2*x^2 + a^2)/(a*b^6*x^5 + 5*a^2*b^5*x^4 + 10*a^3*b^4*x^3 + 10*a^4*b^3*x^2 + 5*a^5*b^2*x + a^6*b) - 4/3003*sqrt(-b^2*x^2 + a^2)/(a^2*b^5*x^4 + 4*a^3*b^4*x^3 + 6*a^4*b^3*x^2 + 4*a^5*b^2*x + a^6*b) - 4/5005*sqrt(-b^2*x^2 + a^2)/(a^3*b^4*x^3 + 3*a^4*b^3*x^2 + 3*a^5*b^2*x + a^6*b) - 8/15015*sqrt(-b^2*x^2 + a^2)/(a^4*b^3*x^2 + 2*a^5*b^2*x + a^6*b) - 8/15015*sqrt(-b^2*x^2 + a^2)/(a^5*b^2*x + a^6*b)","B",0
800,1,156,0,3.035749," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{91 \, d^{11} \arcsin\left(\frac{e x}{d}\right)}{256 \, e} + \frac{91}{256} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{9} x + \frac{91}{384} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{7} x + \frac{91}{480} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} x + \frac{13}{80} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{3} x - \frac{1}{11} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{9}{2}} e x^{2} - \frac{3}{10} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{9}{2}} d x - \frac{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{9}{2}} d^{2}}{99 \, e}"," ",0,"91/256*d^11*arcsin(e*x/d)/e + 91/256*sqrt(-e^2*x^2 + d^2)*d^9*x + 91/384*(-e^2*x^2 + d^2)^(3/2)*d^7*x + 91/480*(-e^2*x^2 + d^2)^(5/2)*d^5*x + 13/80*(-e^2*x^2 + d^2)^(7/2)*d^3*x - 1/11*(-e^2*x^2 + d^2)^(9/2)*e*x^2 - 3/10*(-e^2*x^2 + d^2)^(9/2)*d*x - 35/99*(-e^2*x^2 + d^2)^(9/2)*d^2/e","A",0
801,1,133,0,2.963668," ","integrate((e*x+d)^2*(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{77 \, d^{10} \arcsin\left(\frac{e x}{d}\right)}{256 \, e} + \frac{77}{256} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{8} x + \frac{77}{384} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{6} x + \frac{77}{480} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} x + \frac{11}{80} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{2} x - \frac{1}{10} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{9}{2}} x - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{9}{2}} d}{9 \, e}"," ",0,"77/256*d^10*arcsin(e*x/d)/e + 77/256*sqrt(-e^2*x^2 + d^2)*d^8*x + 77/384*(-e^2*x^2 + d^2)^(3/2)*d^6*x + 77/480*(-e^2*x^2 + d^2)^(5/2)*d^4*x + 11/80*(-e^2*x^2 + d^2)^(7/2)*d^2*x - 1/10*(-e^2*x^2 + d^2)^(9/2)*x - 2/9*(-e^2*x^2 + d^2)^(9/2)*d/e","A",0
802,1,113,0,2.984930," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{35 \, d^{9} \arcsin\left(\frac{e x}{d}\right)}{128 \, e} + \frac{35}{128} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7} x + \frac{35}{192} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} x + \frac{7}{48} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} x + \frac{1}{8} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d x - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{9}{2}}}{9 \, e}"," ",0,"35/128*d^9*arcsin(e*x/d)/e + 35/128*sqrt(-e^2*x^2 + d^2)*d^7*x + 35/192*(-e^2*x^2 + d^2)^(3/2)*d^5*x + 7/48*(-e^2*x^2 + d^2)^(5/2)*d^3*x + 1/8*(-e^2*x^2 + d^2)^(7/2)*d*x - 1/9*(-e^2*x^2 + d^2)^(9/2)/e","A",0
803,1,129,0,2.943028," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{5 i \, d^{7} \arcsin\left(\frac{e x}{d} + 2\right)}{16 \, e} + \frac{5}{16} \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{5} x + \frac{5 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{6}}{8 \, e} + \frac{5}{24} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} x + \frac{1}{6} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{7 \, e}"," ",0,"-5/16*I*d^7*arcsin(e*x/d + 2)/e + 5/16*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^5*x + 5/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^6/e + 5/24*(-e^2*x^2 + d^2)^(3/2)*d^3*x + 1/6*(-e^2*x^2 + d^2)^(5/2)*d*x + 1/7*(-e^2*x^2 + d^2)^(7/2)/e","C",0
804,1,139,0,3.099722," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{7 i \, d^{6} \arcsin\left(\frac{e x}{d} + 2\right)}{16 \, e} + \frac{7}{16} \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{4} x + \frac{7 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{5}}{8 \, e} + \frac{7}{24} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} x + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{6 \, {\left(e^{2} x + d e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{30 \, e}"," ",0,"-7/16*I*d^6*arcsin(e*x/d + 2)/e + 7/16*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^4*x + 7/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^5/e + 7/24*(-e^2*x^2 + d^2)^(3/2)*d^2*x + 1/6*(-e^2*x^2 + d^2)^(7/2)/(e^2*x + d*e) + 7/30*(-e^2*x^2 + d^2)^(5/2)*d/e","C",0
805,1,160,0,3.071243," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{7 i \, d^{5} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e} + \frac{7}{8} \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{3} x + \frac{7 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{4}}{4 \, e} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{5 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{20 \, {\left(e^{2} x + d e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{12 \, e}"," ",0,"-7/8*I*d^5*arcsin(e*x/d + 2)/e + 7/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^3*x + 7/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^4/e + 1/5*(-e^2*x^2 + d^2)^(7/2)/(e^3*x^2 + 2*d*e^2*x + d^2*e) + 7/20*(-e^2*x^2 + d^2)^(5/2)*d/(e^2*x + d*e) + 7/12*(-e^2*x^2 + d^2)^(3/2)*d^2/e","C",0
806,1,156,0,3.015597," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{35 \, d^{4} \arcsin\left(\frac{e x}{d}\right)}{8 \, e} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{4 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{12 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} + \frac{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{24 \, {\left(e^{2} x + d e\right)}} + \frac{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{8 \, e}"," ",0,"35/8*d^4*arcsin(e*x/d)/e + 1/4*(-e^2*x^2 + d^2)^(7/2)/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) + 7/12*(-e^2*x^2 + d^2)^(5/2)*d/(e^3*x^2 + 2*d*e^2*x + d^2*e) + 35/24*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^2*x + d*e) + 35/8*sqrt(-e^2*x^2 + d^2)*d^3/e","A",0
807,1,197,0,3.061700," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{35 \, d^{3} \arcsin\left(\frac{e x}{d}\right)}{2 \, e} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{3 \, {\left(e^{5} x^{4} + 4 \, d e^{4} x^{3} + 6 \, d^{2} e^{3} x^{2} + 4 \, d^{3} e^{2} x + d^{4} e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{6 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} + \frac{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{6 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} - \frac{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{e^{2} x + d e}"," ",0,"-35/2*d^3*arcsin(e*x/d)/e + 1/3*(-e^2*x^2 + d^2)^(7/2)/(e^5*x^4 + 4*d*e^4*x^3 + 6*d^2*e^3*x^2 + 4*d^3*e^2*x + d^4*e) + 7/6*(-e^2*x^2 + d^2)^(5/2)*d/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) + 35/6*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 35*sqrt(-e^2*x^2 + d^2)*d^3/(e^2*x + d*e)","A",0
808,1,271,0,2.950896," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^6,x, algorithm=""maxima"")","\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{2 \, {\left(e^{6} x^{5} + 5 \, d e^{5} x^{4} + 10 \, d^{2} e^{4} x^{3} + 10 \, d^{3} e^{3} x^{2} + 5 \, d^{4} e^{2} x + d^{5} e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{2 \, {\left(e^{5} x^{4} + 4 \, d e^{4} x^{3} + 6 \, d^{2} e^{3} x^{2} + 4 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{6 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} - \frac{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{3 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} + \frac{35 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e} + \frac{245 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{6 \, {\left(e^{2} x + d e\right)}}"," ",0,"1/2*(-e^2*x^2 + d^2)^(7/2)/(e^6*x^5 + 5*d*e^5*x^4 + 10*d^2*e^4*x^3 + 10*d^3*e^3*x^2 + 5*d^4*e^2*x + d^5*e) + 7/2*(-e^2*x^2 + d^2)^(5/2)*d/(e^5*x^4 + 4*d*e^4*x^3 + 6*d^2*e^3*x^2 + 4*d^3*e^2*x + d^4*e) - 35/6*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) - 35/3*sqrt(-e^2*x^2 + d^2)*d^3/(e^3*x^2 + 2*d*e^2*x + d^2*e) + 35/2*d^2*arcsin(e*x/d)/e + 245/6*sqrt(-e^2*x^2 + d^2)*d^2/(e^2*x + d*e)","B",0
809,1,401,0,3.067315," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^7,x, algorithm=""maxima"")","\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{e^{7} x^{6} + 6 \, d e^{6} x^{5} + 15 \, d^{2} e^{5} x^{4} + 20 \, d^{3} e^{4} x^{3} + 15 \, d^{4} e^{3} x^{2} + 6 \, d^{5} e^{2} x + d^{6} e} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{5 \, {\left(e^{6} x^{5} + 5 \, d e^{5} x^{4} + 10 \, d^{2} e^{4} x^{3} + 10 \, d^{3} e^{3} x^{2} + 5 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{e^{5} x^{4} + 4 \, d e^{4} x^{3} + 6 \, d^{2} e^{3} x^{2} + 4 \, d^{3} e^{2} x + d^{4} e} + \frac{42 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{5 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{3 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} + \frac{49 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{15 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} - \frac{7 \, d \arcsin\left(\frac{e x}{d}\right)}{e} - \frac{266 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{15 \, {\left(e^{2} x + d e\right)}}"," ",0,"(-e^2*x^2 + d^2)^(7/2)/(e^7*x^6 + 6*d*e^6*x^5 + 15*d^2*e^5*x^4 + 20*d^3*e^4*x^3 + 15*d^4*e^3*x^2 + 6*d^5*e^2*x + d^6*e) - 7/5*(-e^2*x^2 + d^2)^(5/2)*d/(e^6*x^5 + 5*d*e^5*x^4 + 10*d^2*e^4*x^3 + 10*d^3*e^3*x^2 + 5*d^4*e^2*x + d^5*e) - 7*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^5*x^4 + 4*d*e^4*x^3 + 6*d^2*e^3*x^2 + 4*d^3*e^2*x + d^4*e) + 42/5*sqrt(-e^2*x^2 + d^2)*d^3/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) + 7/3*(-e^2*x^2 + d^2)^(3/2)*d/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) + 49/15*sqrt(-e^2*x^2 + d^2)*d^2/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 7*d*arcsin(e*x/d)/e - 266/15*sqrt(-e^2*x^2 + d^2)*d/(e^2*x + d*e)","B",0
810,1,623,0,3.115083," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{7 \, {\left(e^{8} x^{7} + 7 \, d e^{7} x^{6} + 21 \, d^{2} e^{6} x^{5} + 35 \, d^{3} e^{5} x^{4} + 35 \, d^{4} e^{4} x^{3} + 21 \, d^{5} e^{3} x^{2} + 7 \, d^{6} e^{2} x + d^{7} e\right)}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{e^{7} x^{6} + 6 \, d e^{6} x^{5} + 15 \, d^{2} e^{5} x^{4} + 20 \, d^{3} e^{4} x^{3} + 15 \, d^{4} e^{3} x^{2} + 6 \, d^{5} e^{2} x + d^{6} e} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{2 \, {\left(e^{6} x^{5} + 5 \, d e^{5} x^{4} + 10 \, d^{2} e^{4} x^{3} + 10 \, d^{3} e^{3} x^{2} + 5 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{7 \, {\left(e^{5} x^{4} + 4 \, d e^{4} x^{3} + 6 \, d^{2} e^{3} x^{2} + 4 \, d^{3} e^{2} x + d^{4} e\right)}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{5 \, {\left(e^{6} x^{5} + 5 \, d e^{5} x^{4} + 10 \, d^{2} e^{4} x^{3} + 10 \, d^{3} e^{3} x^{2} + 5 \, d^{4} e^{2} x + d^{5} e\right)}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{e^{5} x^{4} + 4 \, d e^{4} x^{3} + 6 \, d^{2} e^{3} x^{2} + 4 \, d^{3} e^{2} x + d^{4} e} - \frac{69 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{70 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}{3 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} - \frac{34 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{105 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} + \frac{\arcsin\left(\frac{e x}{d}\right)}{e} + \frac{281 \, \sqrt{-e^{2} x^{2} + d^{2}}}{105 \, {\left(e^{2} x + d e\right)}}"," ",0,"-1/7*(-e^2*x^2 + d^2)^(7/2)/(e^8*x^7 + 7*d*e^7*x^6 + 21*d^2*e^6*x^5 + 35*d^3*e^5*x^4 + 35*d^4*e^4*x^3 + 21*d^5*e^3*x^2 + 7*d^6*e^2*x + d^7*e) - (-e^2*x^2 + d^2)^(5/2)*d/(e^7*x^6 + 6*d*e^6*x^5 + 15*d^2*e^5*x^4 + 20*d^3*e^4*x^3 + 15*d^4*e^3*x^2 + 6*d^5*e^2*x + d^6*e) + 5/2*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^6*x^5 + 5*d*e^5*x^4 + 10*d^2*e^4*x^3 + 10*d^3*e^3*x^2 + 5*d^4*e^2*x + d^5*e) - 15/7*sqrt(-e^2*x^2 + d^2)*d^3/(e^5*x^4 + 4*d*e^4*x^3 + 6*d^2*e^3*x^2 + 4*d^3*e^2*x + d^4*e) + 1/5*(-e^2*x^2 + d^2)^(5/2)/(e^6*x^5 + 5*d*e^5*x^4 + 10*d^2*e^4*x^3 + 10*d^3*e^3*x^2 + 5*d^4*e^2*x + d^5*e) + (-e^2*x^2 + d^2)^(3/2)*d/(e^5*x^4 + 4*d*e^4*x^3 + 6*d^2*e^3*x^2 + 4*d^3*e^2*x + d^4*e) - 69/70*sqrt(-e^2*x^2 + d^2)*d^2/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) - 1/3*(-e^2*x^2 + d^2)^(3/2)/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) - 34/105*sqrt(-e^2*x^2 + d^2)*d/(e^3*x^2 + 2*d*e^2*x + d^2*e) + arcsin(e*x/d)/e + 281/105*sqrt(-e^2*x^2 + d^2)/(e^2*x + d*e)","B",0
811,1,539,0,1.445485," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{e^{9} x^{8} + 8 \, d e^{8} x^{7} + 28 \, d^{2} e^{7} x^{6} + 56 \, d^{3} e^{6} x^{5} + 70 \, d^{4} e^{5} x^{4} + 56 \, d^{5} e^{4} x^{3} + 28 \, d^{6} e^{3} x^{2} + 8 \, d^{7} e^{2} x + d^{8} e} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{2 \, {\left(e^{8} x^{7} + 7 \, d e^{7} x^{6} + 21 \, d^{2} e^{6} x^{5} + 35 \, d^{3} e^{5} x^{4} + 35 \, d^{4} e^{4} x^{3} + 21 \, d^{5} e^{3} x^{2} + 7 \, d^{6} e^{2} x + d^{7} e\right)}} - \frac{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{6 \, {\left(e^{7} x^{6} + 6 \, d e^{6} x^{5} + 15 \, d^{2} e^{5} x^{4} + 20 \, d^{3} e^{4} x^{3} + 15 \, d^{4} e^{3} x^{2} + 6 \, d^{5} e^{2} x + d^{6} e\right)}} + \frac{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{9 \, {\left(e^{6} x^{5} + 5 \, d e^{5} x^{4} + 10 \, d^{2} e^{4} x^{3} + 10 \, d^{3} e^{3} x^{2} + 5 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{18 \, {\left(e^{5} x^{4} + 4 \, d e^{4} x^{3} + 6 \, d^{2} e^{3} x^{2} + 4 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d}{6 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{9 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{9 \, {\left(d e^{2} x + d^{2} e\right)}}"," ",0,"-(-e^2*x^2 + d^2)^(7/2)/(e^9*x^8 + 8*d*e^8*x^7 + 28*d^2*e^7*x^6 + 56*d^3*e^6*x^5 + 70*d^4*e^5*x^4 + 56*d^5*e^4*x^3 + 28*d^6*e^3*x^2 + 8*d^7*e^2*x + d^8*e) + 7/2*(-e^2*x^2 + d^2)^(5/2)*d/(e^8*x^7 + 7*d*e^7*x^6 + 21*d^2*e^6*x^5 + 35*d^3*e^5*x^4 + 35*d^4*e^4*x^3 + 21*d^5*e^3*x^2 + 7*d^6*e^2*x + d^7*e) - 35/6*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^7*x^6 + 6*d*e^6*x^5 + 15*d^2*e^5*x^4 + 20*d^3*e^4*x^3 + 15*d^4*e^3*x^2 + 6*d^5*e^2*x + d^6*e) + 35/9*sqrt(-e^2*x^2 + d^2)*d^3/(e^6*x^5 + 5*d*e^5*x^4 + 10*d^2*e^4*x^3 + 10*d^3*e^3*x^2 + 5*d^4*e^2*x + d^5*e) - 5/18*sqrt(-e^2*x^2 + d^2)*d^2/(e^5*x^4 + 4*d*e^4*x^3 + 6*d^2*e^3*x^2 + 4*d^3*e^2*x + d^4*e) - 1/6*sqrt(-e^2*x^2 + d^2)*d/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) - 1/9*sqrt(-e^2*x^2 + d^2)/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 1/9*sqrt(-e^2*x^2 + d^2)/(d*e^2*x + d^2*e)","B",0
812,1,659,0,1.520184," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{2 \, {\left(e^{10} x^{9} + 9 \, d e^{9} x^{8} + 36 \, d^{2} e^{8} x^{7} + 84 \, d^{3} e^{7} x^{6} + 126 \, d^{4} e^{6} x^{5} + 126 \, d^{5} e^{5} x^{4} + 84 \, d^{6} e^{4} x^{3} + 36 \, d^{7} e^{3} x^{2} + 9 \, d^{8} e^{2} x + d^{9} e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{6 \, {\left(e^{9} x^{8} + 8 \, d e^{8} x^{7} + 28 \, d^{2} e^{7} x^{6} + 56 \, d^{3} e^{6} x^{5} + 70 \, d^{4} e^{5} x^{4} + 56 \, d^{5} e^{4} x^{3} + 28 \, d^{6} e^{3} x^{2} + 8 \, d^{7} e^{2} x + d^{8} e\right)}} - \frac{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{24 \, {\left(e^{8} x^{7} + 7 \, d e^{7} x^{6} + 21 \, d^{2} e^{6} x^{5} + 35 \, d^{3} e^{5} x^{4} + 35 \, d^{4} e^{4} x^{3} + 21 \, d^{5} e^{3} x^{2} + 7 \, d^{6} e^{2} x + d^{7} e\right)}} + \frac{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{44 \, {\left(e^{7} x^{6} + 6 \, d e^{6} x^{5} + 15 \, d^{2} e^{5} x^{4} + 20 \, d^{3} e^{4} x^{3} + 15 \, d^{4} e^{3} x^{2} + 6 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{792 \, {\left(e^{6} x^{5} + 5 \, d e^{5} x^{4} + 10 \, d^{2} e^{4} x^{3} + 10 \, d^{3} e^{3} x^{2} + 5 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{198 \, {\left(e^{5} x^{4} + 4 \, d e^{4} x^{3} + 6 \, d^{2} e^{3} x^{2} + 4 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{66 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{99 \, {\left(d e^{3} x^{2} + 2 \, d^{2} e^{2} x + d^{3} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{99 \, {\left(d^{2} e^{2} x + d^{3} e\right)}}"," ",0,"-1/2*(-e^2*x^2 + d^2)^(7/2)/(e^10*x^9 + 9*d*e^9*x^8 + 36*d^2*e^8*x^7 + 84*d^3*e^7*x^6 + 126*d^4*e^6*x^5 + 126*d^5*e^5*x^4 + 84*d^6*e^4*x^3 + 36*d^7*e^3*x^2 + 9*d^8*e^2*x + d^9*e) + 7/6*(-e^2*x^2 + d^2)^(5/2)*d/(e^9*x^8 + 8*d*e^8*x^7 + 28*d^2*e^7*x^6 + 56*d^3*e^6*x^5 + 70*d^4*e^5*x^4 + 56*d^5*e^4*x^3 + 28*d^6*e^3*x^2 + 8*d^7*e^2*x + d^8*e) - 35/24*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^8*x^7 + 7*d*e^7*x^6 + 21*d^2*e^6*x^5 + 35*d^3*e^5*x^4 + 35*d^4*e^4*x^3 + 21*d^5*e^3*x^2 + 7*d^6*e^2*x + d^7*e) + 35/44*sqrt(-e^2*x^2 + d^2)*d^3/(e^7*x^6 + 6*d*e^6*x^5 + 15*d^2*e^5*x^4 + 20*d^3*e^4*x^3 + 15*d^4*e^3*x^2 + 6*d^5*e^2*x + d^6*e) - 35/792*sqrt(-e^2*x^2 + d^2)*d^2/(e^6*x^5 + 5*d*e^5*x^4 + 10*d^2*e^4*x^3 + 10*d^3*e^3*x^2 + 5*d^4*e^2*x + d^5*e) - 5/198*sqrt(-e^2*x^2 + d^2)*d/(e^5*x^4 + 4*d*e^4*x^3 + 6*d^2*e^3*x^2 + 4*d^3*e^2*x + d^4*e) - 1/66*sqrt(-e^2*x^2 + d^2)/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) - 1/99*sqrt(-e^2*x^2 + d^2)/(d*e^3*x^2 + 2*d^2*e^2*x + d^3*e) - 1/99*sqrt(-e^2*x^2 + d^2)/(d^2*e^2*x + d^3*e)","B",0
813,1,790,0,1.627105," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^11,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{3 \, {\left(e^{11} x^{10} + 10 \, d e^{10} x^{9} + 45 \, d^{2} e^{9} x^{8} + 120 \, d^{3} e^{8} x^{7} + 210 \, d^{4} e^{7} x^{6} + 252 \, d^{5} e^{6} x^{5} + 210 \, d^{6} e^{5} x^{4} + 120 \, d^{7} e^{4} x^{3} + 45 \, d^{8} e^{3} x^{2} + 10 \, d^{9} e^{2} x + d^{10} e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{12 \, {\left(e^{10} x^{9} + 9 \, d e^{9} x^{8} + 36 \, d^{2} e^{8} x^{7} + 84 \, d^{3} e^{7} x^{6} + 126 \, d^{4} e^{6} x^{5} + 126 \, d^{5} e^{5} x^{4} + 84 \, d^{6} e^{4} x^{3} + 36 \, d^{7} e^{3} x^{2} + 9 \, d^{8} e^{2} x + d^{9} e\right)}} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{12 \, {\left(e^{9} x^{8} + 8 \, d e^{8} x^{7} + 28 \, d^{2} e^{7} x^{6} + 56 \, d^{3} e^{6} x^{5} + 70 \, d^{4} e^{5} x^{4} + 56 \, d^{5} e^{4} x^{3} + 28 \, d^{6} e^{3} x^{2} + 8 \, d^{7} e^{2} x + d^{8} e\right)}} + \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{26 \, {\left(e^{8} x^{7} + 7 \, d e^{7} x^{6} + 21 \, d^{2} e^{6} x^{5} + 35 \, d^{3} e^{5} x^{4} + 35 \, d^{4} e^{4} x^{3} + 21 \, d^{5} e^{3} x^{2} + 7 \, d^{6} e^{2} x + d^{7} e\right)}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{572 \, {\left(e^{7} x^{6} + 6 \, d e^{6} x^{5} + 15 \, d^{2} e^{5} x^{4} + 20 \, d^{3} e^{4} x^{3} + 15 \, d^{4} e^{3} x^{2} + 6 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{5148 \, {\left(e^{6} x^{5} + 5 \, d e^{5} x^{4} + 10 \, d^{2} e^{4} x^{3} + 10 \, d^{3} e^{3} x^{2} + 5 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}}}{1287 \, {\left(e^{5} x^{4} + 4 \, d e^{4} x^{3} + 6 \, d^{2} e^{3} x^{2} + 4 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{429 \, {\left(d e^{4} x^{3} + 3 \, d^{2} e^{3} x^{2} + 3 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{1287 \, {\left(d^{2} e^{3} x^{2} + 2 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{1287 \, {\left(d^{3} e^{2} x + d^{4} e\right)}}"," ",0,"-1/3*(-e^2*x^2 + d^2)^(7/2)/(e^11*x^10 + 10*d*e^10*x^9 + 45*d^2*e^9*x^8 + 120*d^3*e^8*x^7 + 210*d^4*e^7*x^6 + 252*d^5*e^6*x^5 + 210*d^6*e^5*x^4 + 120*d^7*e^4*x^3 + 45*d^8*e^3*x^2 + 10*d^9*e^2*x + d^10*e) + 7/12*(-e^2*x^2 + d^2)^(5/2)*d/(e^10*x^9 + 9*d*e^9*x^8 + 36*d^2*e^8*x^7 + 84*d^3*e^7*x^6 + 126*d^4*e^6*x^5 + 126*d^5*e^5*x^4 + 84*d^6*e^4*x^3 + 36*d^7*e^3*x^2 + 9*d^8*e^2*x + d^9*e) - 7/12*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^9*x^8 + 8*d*e^8*x^7 + 28*d^2*e^7*x^6 + 56*d^3*e^6*x^5 + 70*d^4*e^5*x^4 + 56*d^5*e^4*x^3 + 28*d^6*e^3*x^2 + 8*d^7*e^2*x + d^8*e) + 7/26*sqrt(-e^2*x^2 + d^2)*d^3/(e^8*x^7 + 7*d*e^7*x^6 + 21*d^2*e^6*x^5 + 35*d^3*e^5*x^4 + 35*d^4*e^4*x^3 + 21*d^5*e^3*x^2 + 7*d^6*e^2*x + d^7*e) - 7/572*sqrt(-e^2*x^2 + d^2)*d^2/(e^7*x^6 + 6*d*e^6*x^5 + 15*d^2*e^5*x^4 + 20*d^3*e^4*x^3 + 15*d^4*e^3*x^2 + 6*d^5*e^2*x + d^6*e) - 35/5148*sqrt(-e^2*x^2 + d^2)*d/(e^6*x^5 + 5*d*e^5*x^4 + 10*d^2*e^4*x^3 + 10*d^3*e^3*x^2 + 5*d^4*e^2*x + d^5*e) - 5/1287*sqrt(-e^2*x^2 + d^2)/(e^5*x^4 + 4*d*e^4*x^3 + 6*d^2*e^3*x^2 + 4*d^3*e^2*x + d^4*e) - 1/429*sqrt(-e^2*x^2 + d^2)/(d*e^4*x^3 + 3*d^2*e^3*x^2 + 3*d^3*e^2*x + d^4*e) - 2/1287*sqrt(-e^2*x^2 + d^2)/(d^2*e^3*x^2 + 2*d^3*e^2*x + d^4*e) - 2/1287*sqrt(-e^2*x^2 + d^2)/(d^3*e^2*x + d^4*e)","B",0
814,1,932,0,1.688688," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^12,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{4 \, {\left(e^{12} x^{11} + 11 \, d e^{11} x^{10} + 55 \, d^{2} e^{10} x^{9} + 165 \, d^{3} e^{9} x^{8} + 330 \, d^{4} e^{8} x^{7} + 462 \, d^{5} e^{7} x^{6} + 462 \, d^{6} e^{6} x^{5} + 330 \, d^{7} e^{5} x^{4} + 165 \, d^{8} e^{4} x^{3} + 55 \, d^{9} e^{3} x^{2} + 11 \, d^{10} e^{2} x + d^{11} e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{20 \, {\left(e^{11} x^{10} + 10 \, d e^{10} x^{9} + 45 \, d^{2} e^{9} x^{8} + 120 \, d^{3} e^{8} x^{7} + 210 \, d^{4} e^{7} x^{6} + 252 \, d^{5} e^{6} x^{5} + 210 \, d^{6} e^{5} x^{4} + 120 \, d^{7} e^{4} x^{3} + 45 \, d^{8} e^{3} x^{2} + 10 \, d^{9} e^{2} x + d^{10} e\right)}} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{24 \, {\left(e^{10} x^{9} + 9 \, d e^{9} x^{8} + 36 \, d^{2} e^{8} x^{7} + 84 \, d^{3} e^{7} x^{6} + 126 \, d^{4} e^{6} x^{5} + 126 \, d^{5} e^{5} x^{4} + 84 \, d^{6} e^{4} x^{3} + 36 \, d^{7} e^{3} x^{2} + 9 \, d^{8} e^{2} x + d^{9} e\right)}} + \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{60 \, {\left(e^{9} x^{8} + 8 \, d e^{8} x^{7} + 28 \, d^{2} e^{7} x^{6} + 56 \, d^{3} e^{6} x^{5} + 70 \, d^{4} e^{5} x^{4} + 56 \, d^{5} e^{4} x^{3} + 28 \, d^{6} e^{3} x^{2} + 8 \, d^{7} e^{2} x + d^{8} e\right)}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{1560 \, {\left(e^{8} x^{7} + 7 \, d e^{7} x^{6} + 21 \, d^{2} e^{6} x^{5} + 35 \, d^{3} e^{5} x^{4} + 35 \, d^{4} e^{4} x^{3} + 21 \, d^{5} e^{3} x^{2} + 7 \, d^{6} e^{2} x + d^{7} e\right)}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{2860 \, {\left(e^{7} x^{6} + 6 \, d e^{6} x^{5} + 15 \, d^{2} e^{5} x^{4} + 20 \, d^{3} e^{4} x^{3} + 15 \, d^{4} e^{3} x^{2} + 6 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}}}{5148 \, {\left(e^{6} x^{5} + 5 \, d e^{5} x^{4} + 10 \, d^{2} e^{4} x^{3} + 10 \, d^{3} e^{3} x^{2} + 5 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{1287 \, {\left(d e^{5} x^{4} + 4 \, d^{2} e^{4} x^{3} + 6 \, d^{3} e^{3} x^{2} + 4 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{2145 \, {\left(d^{2} e^{4} x^{3} + 3 \, d^{3} e^{3} x^{2} + 3 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{6435 \, {\left(d^{3} e^{3} x^{2} + 2 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{6435 \, {\left(d^{4} e^{2} x + d^{5} e\right)}}"," ",0,"-1/4*(-e^2*x^2 + d^2)^(7/2)/(e^12*x^11 + 11*d*e^11*x^10 + 55*d^2*e^10*x^9 + 165*d^3*e^9*x^8 + 330*d^4*e^8*x^7 + 462*d^5*e^7*x^6 + 462*d^6*e^6*x^5 + 330*d^7*e^5*x^4 + 165*d^8*e^4*x^3 + 55*d^9*e^3*x^2 + 11*d^10*e^2*x + d^11*e) + 7/20*(-e^2*x^2 + d^2)^(5/2)*d/(e^11*x^10 + 10*d*e^10*x^9 + 45*d^2*e^9*x^8 + 120*d^3*e^8*x^7 + 210*d^4*e^7*x^6 + 252*d^5*e^6*x^5 + 210*d^6*e^5*x^4 + 120*d^7*e^4*x^3 + 45*d^8*e^3*x^2 + 10*d^9*e^2*x + d^10*e) - 7/24*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^10*x^9 + 9*d*e^9*x^8 + 36*d^2*e^8*x^7 + 84*d^3*e^7*x^6 + 126*d^4*e^6*x^5 + 126*d^5*e^5*x^4 + 84*d^6*e^4*x^3 + 36*d^7*e^3*x^2 + 9*d^8*e^2*x + d^9*e) + 7/60*sqrt(-e^2*x^2 + d^2)*d^3/(e^9*x^8 + 8*d*e^8*x^7 + 28*d^2*e^7*x^6 + 56*d^3*e^6*x^5 + 70*d^4*e^5*x^4 + 56*d^5*e^4*x^3 + 28*d^6*e^3*x^2 + 8*d^7*e^2*x + d^8*e) - 7/1560*sqrt(-e^2*x^2 + d^2)*d^2/(e^8*x^7 + 7*d*e^7*x^6 + 21*d^2*e^6*x^5 + 35*d^3*e^5*x^4 + 35*d^4*e^4*x^3 + 21*d^5*e^3*x^2 + 7*d^6*e^2*x + d^7*e) - 7/2860*sqrt(-e^2*x^2 + d^2)*d/(e^7*x^6 + 6*d*e^6*x^5 + 15*d^2*e^5*x^4 + 20*d^3*e^4*x^3 + 15*d^4*e^3*x^2 + 6*d^5*e^2*x + d^6*e) - 7/5148*sqrt(-e^2*x^2 + d^2)/(e^6*x^5 + 5*d*e^5*x^4 + 10*d^2*e^4*x^3 + 10*d^3*e^3*x^2 + 5*d^4*e^2*x + d^5*e) - 1/1287*sqrt(-e^2*x^2 + d^2)/(d*e^5*x^4 + 4*d^2*e^4*x^3 + 6*d^3*e^3*x^2 + 4*d^4*e^2*x + d^5*e) - 1/2145*sqrt(-e^2*x^2 + d^2)/(d^2*e^4*x^3 + 3*d^3*e^3*x^2 + 3*d^4*e^2*x + d^5*e) - 2/6435*sqrt(-e^2*x^2 + d^2)/(d^3*e^3*x^2 + 2*d^4*e^2*x + d^5*e) - 2/6435*sqrt(-e^2*x^2 + d^2)/(d^4*e^2*x + d^5*e)","B",0
815,1,1085,0,1.654120," ","integrate((-e^2*x^2+d^2)^(7/2)/(e*x+d)^13,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{5 \, {\left(e^{13} x^{12} + 12 \, d e^{12} x^{11} + 66 \, d^{2} e^{11} x^{10} + 220 \, d^{3} e^{10} x^{9} + 495 \, d^{4} e^{9} x^{8} + 792 \, d^{5} e^{8} x^{7} + 924 \, d^{6} e^{7} x^{6} + 792 \, d^{7} e^{6} x^{5} + 495 \, d^{8} e^{5} x^{4} + 220 \, d^{9} e^{4} x^{3} + 66 \, d^{10} e^{3} x^{2} + 12 \, d^{11} e^{2} x + d^{12} e\right)}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{30 \, {\left(e^{12} x^{11} + 11 \, d e^{11} x^{10} + 55 \, d^{2} e^{10} x^{9} + 165 \, d^{3} e^{9} x^{8} + 330 \, d^{4} e^{8} x^{7} + 462 \, d^{5} e^{7} x^{6} + 462 \, d^{6} e^{6} x^{5} + 330 \, d^{7} e^{5} x^{4} + 165 \, d^{8} e^{4} x^{3} + 55 \, d^{9} e^{3} x^{2} + 11 \, d^{10} e^{2} x + d^{11} e\right)}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{6 \, {\left(e^{11} x^{10} + 10 \, d e^{10} x^{9} + 45 \, d^{2} e^{9} x^{8} + 120 \, d^{3} e^{8} x^{7} + 210 \, d^{4} e^{7} x^{6} + 252 \, d^{5} e^{6} x^{5} + 210 \, d^{6} e^{5} x^{4} + 120 \, d^{7} e^{4} x^{3} + 45 \, d^{8} e^{3} x^{2} + 10 \, d^{9} e^{2} x + d^{10} e\right)}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{17 \, {\left(e^{10} x^{9} + 9 \, d e^{9} x^{8} + 36 \, d^{2} e^{8} x^{7} + 84 \, d^{3} e^{7} x^{6} + 126 \, d^{4} e^{6} x^{5} + 126 \, d^{5} e^{5} x^{4} + 84 \, d^{6} e^{4} x^{3} + 36 \, d^{7} e^{3} x^{2} + 9 \, d^{8} e^{2} x + d^{9} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{510 \, {\left(e^{9} x^{8} + 8 \, d e^{8} x^{7} + 28 \, d^{2} e^{7} x^{6} + 56 \, d^{3} e^{6} x^{5} + 70 \, d^{4} e^{5} x^{4} + 56 \, d^{5} e^{4} x^{3} + 28 \, d^{6} e^{3} x^{2} + 8 \, d^{7} e^{2} x + d^{8} e\right)}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{6630 \, {\left(e^{8} x^{7} + 7 \, d e^{7} x^{6} + 21 \, d^{2} e^{6} x^{5} + 35 \, d^{3} e^{5} x^{4} + 35 \, d^{4} e^{4} x^{3} + 21 \, d^{5} e^{3} x^{2} + 7 \, d^{6} e^{2} x + d^{7} e\right)}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}}}{12155 \, {\left(e^{7} x^{6} + 6 \, d e^{6} x^{5} + 15 \, d^{2} e^{5} x^{4} + 20 \, d^{3} e^{4} x^{3} + 15 \, d^{4} e^{3} x^{2} + 6 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}}}{21879 \, {\left(d e^{6} x^{5} + 5 \, d^{2} e^{5} x^{4} + 10 \, d^{3} e^{4} x^{3} + 10 \, d^{4} e^{3} x^{2} + 5 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{4 \, \sqrt{-e^{2} x^{2} + d^{2}}}{21879 \, {\left(d^{2} e^{5} x^{4} + 4 \, d^{3} e^{4} x^{3} + 6 \, d^{4} e^{3} x^{2} + 4 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{4 \, \sqrt{-e^{2} x^{2} + d^{2}}}{36465 \, {\left(d^{3} e^{4} x^{3} + 3 \, d^{4} e^{3} x^{2} + 3 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{8 \, \sqrt{-e^{2} x^{2} + d^{2}}}{109395 \, {\left(d^{4} e^{3} x^{2} + 2 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{8 \, \sqrt{-e^{2} x^{2} + d^{2}}}{109395 \, {\left(d^{5} e^{2} x + d^{6} e\right)}}"," ",0,"-1/5*(-e^2*x^2 + d^2)^(7/2)/(e^13*x^12 + 12*d*e^12*x^11 + 66*d^2*e^11*x^10 + 220*d^3*e^10*x^9 + 495*d^4*e^9*x^8 + 792*d^5*e^8*x^7 + 924*d^6*e^7*x^6 + 792*d^7*e^6*x^5 + 495*d^8*e^5*x^4 + 220*d^9*e^4*x^3 + 66*d^10*e^3*x^2 + 12*d^11*e^2*x + d^12*e) + 7/30*(-e^2*x^2 + d^2)^(5/2)*d/(e^12*x^11 + 11*d*e^11*x^10 + 55*d^2*e^10*x^9 + 165*d^3*e^9*x^8 + 330*d^4*e^8*x^7 + 462*d^5*e^7*x^6 + 462*d^6*e^6*x^5 + 330*d^7*e^5*x^4 + 165*d^8*e^4*x^3 + 55*d^9*e^3*x^2 + 11*d^10*e^2*x + d^11*e) - 1/6*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^11*x^10 + 10*d*e^10*x^9 + 45*d^2*e^9*x^8 + 120*d^3*e^8*x^7 + 210*d^4*e^7*x^6 + 252*d^5*e^6*x^5 + 210*d^6*e^5*x^4 + 120*d^7*e^4*x^3 + 45*d^8*e^3*x^2 + 10*d^9*e^2*x + d^10*e) + 1/17*sqrt(-e^2*x^2 + d^2)*d^3/(e^10*x^9 + 9*d*e^9*x^8 + 36*d^2*e^8*x^7 + 84*d^3*e^7*x^6 + 126*d^4*e^6*x^5 + 126*d^5*e^5*x^4 + 84*d^6*e^4*x^3 + 36*d^7*e^3*x^2 + 9*d^8*e^2*x + d^9*e) - 1/510*sqrt(-e^2*x^2 + d^2)*d^2/(e^9*x^8 + 8*d*e^8*x^7 + 28*d^2*e^7*x^6 + 56*d^3*e^6*x^5 + 70*d^4*e^5*x^4 + 56*d^5*e^4*x^3 + 28*d^6*e^3*x^2 + 8*d^7*e^2*x + d^8*e) - 7/6630*sqrt(-e^2*x^2 + d^2)*d/(e^8*x^7 + 7*d*e^7*x^6 + 21*d^2*e^6*x^5 + 35*d^3*e^5*x^4 + 35*d^4*e^4*x^3 + 21*d^5*e^3*x^2 + 7*d^6*e^2*x + d^7*e) - 7/12155*sqrt(-e^2*x^2 + d^2)/(e^7*x^6 + 6*d*e^6*x^5 + 15*d^2*e^5*x^4 + 20*d^3*e^4*x^3 + 15*d^4*e^3*x^2 + 6*d^5*e^2*x + d^6*e) - 7/21879*sqrt(-e^2*x^2 + d^2)/(d*e^6*x^5 + 5*d^2*e^5*x^4 + 10*d^3*e^4*x^3 + 10*d^4*e^3*x^2 + 5*d^5*e^2*x + d^6*e) - 4/21879*sqrt(-e^2*x^2 + d^2)/(d^2*e^5*x^4 + 4*d^3*e^4*x^3 + 6*d^4*e^3*x^2 + 4*d^5*e^2*x + d^6*e) - 4/36465*sqrt(-e^2*x^2 + d^2)/(d^3*e^4*x^3 + 3*d^4*e^3*x^2 + 3*d^5*e^2*x + d^6*e) - 8/109395*sqrt(-e^2*x^2 + d^2)/(d^4*e^3*x^2 + 2*d^5*e^2*x + d^6*e) - 8/109395*sqrt(-e^2*x^2 + d^2)/(d^5*e^2*x + d^6*e)","B",0
816,1,32,0,2.965140," ","integrate((-b^2*x^2+a^2)^(1/2)/(-b*x+a),x, algorithm=""maxima"")","\frac{a \arcsin\left(\frac{b x}{a}\right)}{b} - \frac{\sqrt{-b^{2} x^{2} + a^{2}}}{b}"," ",0,"a*arcsin(b*x/a)/b - sqrt(-b^2*x^2 + a^2)/b","A",0
817,1,113,0,1.369345," ","integrate((b*x+a)^2*(-a^2*c/b^2+c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{5}{8} \, \sqrt{c x^{2} - \frac{a^{2} c}{b^{2}}} a^{2} x + \frac{{\left(c x^{2} - \frac{a^{2} c}{b^{2}}\right)}^{\frac{3}{2}} b^{2} x}{4 \, c} - \frac{5 \, a^{4} \sqrt{c} \log\left(2 \, c x + 2 \, \sqrt{c x^{2} - \frac{a^{2} c}{b^{2}}} \sqrt{c}\right)}{8 \, b^{2}} + \frac{2 \, {\left(c x^{2} - \frac{a^{2} c}{b^{2}}\right)}^{\frac{3}{2}} a b}{3 \, c}"," ",0,"5/8*sqrt(c*x^2 - a^2*c/b^2)*a^2*x + 1/4*(c*x^2 - a^2*c/b^2)^(3/2)*b^2*x/c - 5/8*a^4*sqrt(c)*log(2*c*x + 2*sqrt(c*x^2 - a^2*c/b^2)*sqrt(c))/b^2 + 2/3*(c*x^2 - a^2*c/b^2)^(3/2)*a*b/c","A",0
818,1,144,0,1.347429," ","integrate((b*x+a)^3*(-a^2*c/b^2+c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} - \frac{a^{2} c}{b^{2}}\right)}^{\frac{3}{2}} b^{3} x^{2}}{5 \, c} + \frac{7}{8} \, \sqrt{c x^{2} - \frac{a^{2} c}{b^{2}}} a^{3} x + \frac{3 \, {\left(c x^{2} - \frac{a^{2} c}{b^{2}}\right)}^{\frac{3}{2}} a b^{2} x}{4 \, c} - \frac{7 \, a^{5} \sqrt{c} \log\left(2 \, c x + 2 \, \sqrt{c x^{2} - \frac{a^{2} c}{b^{2}}} \sqrt{c}\right)}{8 \, b^{2}} + \frac{17 \, {\left(c x^{2} - \frac{a^{2} c}{b^{2}}\right)}^{\frac{3}{2}} a^{2} b}{15 \, c}"," ",0,"1/5*(c*x^2 - a^2*c/b^2)^(3/2)*b^3*x^2/c + 7/8*sqrt(c*x^2 - a^2*c/b^2)*a^3*x + 3/4*(c*x^2 - a^2*c/b^2)^(3/2)*a*b^2*x/c - 7/8*a^5*sqrt(c)*log(2*c*x + 2*sqrt(c*x^2 - a^2*c/b^2)*sqrt(c))/b^2 + 17/15*(c*x^2 - a^2*c/b^2)^(3/2)*a^2*b/c","A",0
819,1,36,0,1.328762," ","integrate((1+x)*(x^2-1)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{2} - 1\right)}^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{x^{2} - 1} x - \frac{1}{2} \, \log\left(2 \, x + 2 \, \sqrt{x^{2} - 1}\right)"," ",0,"1/3*(x^2 - 1)^(3/2) + 1/2*sqrt(x^2 - 1)*x - 1/2*log(2*x + 2*sqrt(x^2 - 1))","A",0
820,1,28,0,3.011051," ","integrate((1+x)*(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{-x^{2} + 1} x + \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"-1/3*(-x^2 + 1)^(3/2) + 1/2*sqrt(-x^2 + 1)*x + 1/2*arcsin(x)","A",0
821,1,12,0,2.960742," ","integrate((-x^2+1)^(1/2)/(1+x),x, algorithm=""maxima"")","\sqrt{-x^{2} + 1} + \arcsin\left(x\right)"," ",0,"sqrt(-x^2 + 1) + arcsin(x)","A",0
822,1,28,0,2.999510," ","integrate((1-x)*(-x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{-x^{2} + 1} x + \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"1/3*(-x^2 + 1)^(3/2) + 1/2*sqrt(-x^2 + 1)*x + 1/2*arcsin(x)","A",0
823,1,14,0,2.921171," ","integrate((-x^2+1)^(1/2)/(1-x),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 1} + \arcsin\left(x\right)"," ",0,"-sqrt(-x^2 + 1) + arcsin(x)","A",0
824,1,21,0,2.940694," ","integrate((-x^2+1)^(1/2)/(1-x)^2,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-x^{2} + 1}}{x - 1} - \arcsin\left(x\right)"," ",0,"-2*sqrt(-x^2 + 1)/(x - 1) - arcsin(x)","A",0
825,1,38,0,1.324888," ","integrate((-x^2+1)^(1/2)/(1-x)^3,x, algorithm=""maxima"")","\frac{2 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{3 \, {\left(x - 1\right)}}"," ",0,"2/3*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 1/3*sqrt(-x^2 + 1)/(x - 1)","B",0
826,1,126,0,2.959042," ","integrate((e*x+d)^5/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{5} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3} x^{4} - \frac{5}{4} \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{2} x^{3} - \frac{18}{5} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e x^{2} + \frac{63 \, d^{5} \arcsin\left(\frac{e x}{d}\right)}{8 \, e} - \frac{55}{8} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} x - \frac{61 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4}}{5 \, e}"," ",0,"-1/5*sqrt(-e^2*x^2 + d^2)*e^3*x^4 - 5/4*sqrt(-e^2*x^2 + d^2)*d*e^2*x^3 - 18/5*sqrt(-e^2*x^2 + d^2)*d^2*e*x^2 + 63/8*d^5*arcsin(e*x/d)/e - 55/8*sqrt(-e^2*x^2 + d^2)*d^3*x - 61/5*sqrt(-e^2*x^2 + d^2)*d^4/e","A",0
827,1,101,0,2.954095," ","integrate((e*x+d)^4/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{2} x^{3} - \frac{4}{3} \, \sqrt{-e^{2} x^{2} + d^{2}} d e x^{2} + \frac{35 \, d^{4} \arcsin\left(\frac{e x}{d}\right)}{8 \, e} - \frac{27}{8} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} x - \frac{20 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{3 \, e}"," ",0,"-1/4*sqrt(-e^2*x^2 + d^2)*e^2*x^3 - 4/3*sqrt(-e^2*x^2 + d^2)*d*e*x^2 + 35/8*d^4*arcsin(e*x/d)/e - 27/8*sqrt(-e^2*x^2 + d^2)*d^2*x - 20/3*sqrt(-e^2*x^2 + d^2)*d^3/e","A",0
828,1,76,0,2.942981," ","integrate((e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{-e^{2} x^{2} + d^{2}} e x^{2} + \frac{5 \, d^{3} \arcsin\left(\frac{e x}{d}\right)}{2 \, e} - \frac{3}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} d x - \frac{11 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{3 \, e}"," ",0,"-1/3*sqrt(-e^2*x^2 + d^2)*e*x^2 + 5/2*d^3*arcsin(e*x/d)/e - 3/2*sqrt(-e^2*x^2 + d^2)*d*x - 11/3*sqrt(-e^2*x^2 + d^2)*d^2/e","A",0
829,1,53,0,2.915164," ","integrate((e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\frac{3 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e} - \frac{1}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} x - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{e}"," ",0,"3/2*d^2*arcsin(e*x/d)/e - 1/2*sqrt(-e^2*x^2 + d^2)*x - 2*sqrt(-e^2*x^2 + d^2)*d/e","A",0
830,1,32,0,2.967439," ","integrate((e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\frac{d \arcsin\left(\frac{e x}{d}\right)}{e} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{e}"," ",0,"d*arcsin(e*x/d)/e - sqrt(-e^2*x^2 + d^2)/e","A",0
831,1,30,0,2.921982," ","integrate(1/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}}}{d e^{2} x + d^{2} e}"," ",0,"-sqrt(-e^2*x^2 + d^2)/(d*e^2*x + d^2*e)","A",0
832,1,74,0,3.012354," ","integrate(1/(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}}}{3 \, {\left(d e^{3} x^{2} + 2 \, d^{2} e^{2} x + d^{3} e\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{3 \, {\left(d^{2} e^{2} x + d^{3} e\right)}}"," ",0,"-1/3*sqrt(-e^2*x^2 + d^2)/(d*e^3*x^2 + 2*d^2*e^2*x + d^3*e) - 1/3*sqrt(-e^2*x^2 + d^2)/(d^2*e^2*x + d^3*e)","A",0
833,1,128,0,3.049601," ","integrate(1/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}}}{5 \, {\left(d e^{4} x^{3} + 3 \, d^{2} e^{3} x^{2} + 3 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(d^{2} e^{3} x^{2} + 2 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(d^{3} e^{2} x + d^{4} e\right)}}"," ",0,"-1/5*sqrt(-e^2*x^2 + d^2)/(d*e^4*x^3 + 3*d^2*e^3*x^2 + 3*d^3*e^2*x + d^4*e) - 2/15*sqrt(-e^2*x^2 + d^2)/(d^2*e^3*x^2 + 2*d^3*e^2*x + d^4*e) - 2/15*sqrt(-e^2*x^2 + d^2)/(d^3*e^2*x + d^4*e)","A",0
834,1,193,0,3.064259," ","integrate(1/(e*x+d)^4/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}}}{7 \, {\left(d e^{5} x^{4} + 4 \, d^{2} e^{4} x^{3} + 6 \, d^{3} e^{3} x^{2} + 4 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}}}{35 \, {\left(d^{2} e^{4} x^{3} + 3 \, d^{3} e^{3} x^{2} + 3 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{35 \, {\left(d^{3} e^{3} x^{2} + 2 \, d^{4} e^{2} x + d^{5} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{35 \, {\left(d^{4} e^{2} x + d^{5} e\right)}}"," ",0,"-1/7*sqrt(-e^2*x^2 + d^2)/(d*e^5*x^4 + 4*d^2*e^4*x^3 + 6*d^3*e^3*x^2 + 4*d^4*e^2*x + d^5*e) - 3/35*sqrt(-e^2*x^2 + d^2)/(d^2*e^4*x^3 + 3*d^3*e^3*x^2 + 3*d^4*e^2*x + d^5*e) - 2/35*sqrt(-e^2*x^2 + d^2)/(d^3*e^3*x^2 + 2*d^4*e^2*x + d^5*e) - 2/35*sqrt(-e^2*x^2 + d^2)/(d^4*e^2*x + d^5*e)","A",0
835,1,269,0,3.078022," ","integrate(1/(e*x+d)^5/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}}}{9 \, {\left(d e^{6} x^{5} + 5 \, d^{2} e^{5} x^{4} + 10 \, d^{3} e^{4} x^{3} + 10 \, d^{4} e^{3} x^{2} + 5 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{4 \, \sqrt{-e^{2} x^{2} + d^{2}}}{63 \, {\left(d^{2} e^{5} x^{4} + 4 \, d^{3} e^{4} x^{3} + 6 \, d^{4} e^{3} x^{2} + 4 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{4 \, \sqrt{-e^{2} x^{2} + d^{2}}}{105 \, {\left(d^{3} e^{4} x^{3} + 3 \, d^{4} e^{3} x^{2} + 3 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{8 \, \sqrt{-e^{2} x^{2} + d^{2}}}{315 \, {\left(d^{4} e^{3} x^{2} + 2 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{8 \, \sqrt{-e^{2} x^{2} + d^{2}}}{315 \, {\left(d^{5} e^{2} x + d^{6} e\right)}}"," ",0,"-1/9*sqrt(-e^2*x^2 + d^2)/(d*e^6*x^5 + 5*d^2*e^5*x^4 + 10*d^3*e^4*x^3 + 10*d^4*e^3*x^2 + 5*d^5*e^2*x + d^6*e) - 4/63*sqrt(-e^2*x^2 + d^2)/(d^2*e^5*x^4 + 4*d^3*e^4*x^3 + 6*d^4*e^3*x^2 + 4*d^5*e^2*x + d^6*e) - 4/105*sqrt(-e^2*x^2 + d^2)/(d^3*e^4*x^3 + 3*d^4*e^3*x^2 + 3*d^5*e^2*x + d^6*e) - 8/315*sqrt(-e^2*x^2 + d^2)/(d^4*e^3*x^2 + 2*d^5*e^2*x + d^6*e) - 8/315*sqrt(-e^2*x^2 + d^2)/(d^5*e^2*x + d^6*e)","A",0
836,1,200,0,3.118917," ","integrate((e*x+d)^6/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{35}{6} \, d^{2} e^{4} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} - \frac{e^{4} x^{5}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} - \frac{6 \, d e^{3} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{44 \, d^{3} e x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{16 \, d^{4} x}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} - \frac{82 \, d^{5}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e} - \frac{61 \, d^{2} x}{6 \, \sqrt{-e^{2} x^{2} + d^{2}}} + \frac{35 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e}"," ",0,"35/6*d^2*e^4*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) - 1/2*e^4*x^5/(-e^2*x^2 + d^2)^(3/2) - 6*d*e^3*x^4/(-e^2*x^2 + d^2)^(3/2) + 44*d^3*e*x^2/(-e^2*x^2 + d^2)^(3/2) + 16/3*d^4*x/(-e^2*x^2 + d^2)^(3/2) - 82/3*d^5/((-e^2*x^2 + d^2)^(3/2)*e) - 61/6*d^2*x/sqrt(-e^2*x^2 + d^2) + 35/2*d^2*arcsin(e*x/d)/e","A",0
837,1,171,0,2.961842," ","integrate((e*x+d)^5/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{5}{3} \, d e^{4} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} - \frac{e^{3} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{14 \, d^{2} e x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{11 \, d^{3} x}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} - \frac{23 \, d^{4}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e} - \frac{13 \, d x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}}} + \frac{5 \, d \arcsin\left(\frac{e x}{d}\right)}{e}"," ",0,"5/3*d*e^4*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) - e^3*x^4/(-e^2*x^2 + d^2)^(3/2) + 14*d^2*e*x^2/(-e^2*x^2 + d^2)^(3/2) + 11/3*d^3*x/(-e^2*x^2 + d^2)^(3/2) - 23/3*d^4/((-e^2*x^2 + d^2)^(3/2)*e) - 13/3*d*x/sqrt(-e^2*x^2 + d^2) + 5*d*arcsin(e*x/d)/e","A",0
838,1,143,0,3.084600," ","integrate((e*x+d)^4/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, e^{4} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} + \frac{4 \, d e x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{7 \, d^{2} x}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} - \frac{4 \, d^{3}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e} - \frac{5 \, x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}}} + \frac{\arcsin\left(\frac{e x}{d}\right)}{e}"," ",0,"1/3*e^4*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) + 4*d*e*x^2/(-e^2*x^2 + d^2)^(3/2) + 7/3*d^2*x/(-e^2*x^2 + d^2)^(3/2) - 4/3*d^3/((-e^2*x^2 + d^2)^(3/2)*e) - 5/3*x/sqrt(-e^2*x^2 + d^2) + arcsin(e*x/d)/e","A",0
839,1,80,0,1.396848," ","integrate((e*x+d)^3/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{e x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{4 \, d x}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{d^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e} - \frac{x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d}"," ",0,"e*x^2/(-e^2*x^2 + d^2)^(3/2) + 4/3*d*x/(-e^2*x^2 + d^2)^(3/2) + 1/3*d^2/((-e^2*x^2 + d^2)^(3/2)*e) - 1/3*x/(sqrt(-e^2*x^2 + d^2)*d)","B",0
840,1,58,0,1.375326," ","integrate((e*x+d)^2/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, x}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, d}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e} + \frac{x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}"," ",0,"2/3*x/(-e^2*x^2 + d^2)^(3/2) + 2/3*d/((-e^2*x^2 + d^2)^(3/2)*e) + 1/3*x/(sqrt(-e^2*x^2 + d^2)*d^2)","A",0
841,1,60,0,1.360424," ","integrate((e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{x}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{1}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e} + \frac{2 \, x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}"," ",0,"1/3*x/((-e^2*x^2 + d^2)^(3/2)*d) + 1/3/((-e^2*x^2 + d^2)^(3/2)*e) + 2/3*x/(sqrt(-e^2*x^2 + d^2)*d^3)","A",0
842,1,85,0,1.407011," ","integrate(1/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{5 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e\right)}} + \frac{4 \, x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}} + \frac{8 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}}"," ",0,"-1/5/((-e^2*x^2 + d^2)^(3/2)*d*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^2*e) + 4/15*x/((-e^2*x^2 + d^2)^(3/2)*d^3) + 8/15*x/(sqrt(-e^2*x^2 + d^2)*d^5)","A",0
843,1,156,0,1.404372," ","integrate(1/(e*x+d)^2/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{7 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{3} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e\right)}} - \frac{1}{7 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e\right)}} + \frac{4 \, x}{21 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}} + \frac{8 \, x}{21 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6}}"," ",0,"-1/7/((-e^2*x^2 + d^2)^(3/2)*d*e^3*x^2 + 2*(-e^2*x^2 + d^2)^(3/2)*d^2*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^3*e) - 1/7/((-e^2*x^2 + d^2)^(3/2)*d^2*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^3*e) + 4/21*x/((-e^2*x^2 + d^2)^(3/2)*d^4) + 8/21*x/(sqrt(-e^2*x^2 + d^2)*d^6)","A",0
844,1,252,0,1.456255," ","integrate(1/(e*x+d)^3/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{9 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{4} x^{3} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{3} x^{2} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} e\right)}} - \frac{2}{21 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{3} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} e\right)}} - \frac{2}{21 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} e\right)}} + \frac{8 \, x}{63 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5}} + \frac{16 \, x}{63 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7}}"," ",0,"-1/9/((-e^2*x^2 + d^2)^(3/2)*d*e^4*x^3 + 3*(-e^2*x^2 + d^2)^(3/2)*d^2*e^3*x^2 + 3*(-e^2*x^2 + d^2)^(3/2)*d^3*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^4*e) - 2/21/((-e^2*x^2 + d^2)^(3/2)*d^2*e^3*x^2 + 2*(-e^2*x^2 + d^2)^(3/2)*d^3*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^4*e) - 2/21/((-e^2*x^2 + d^2)^(3/2)*d^3*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^4*e) + 8/63*x/((-e^2*x^2 + d^2)^(3/2)*d^5) + 16/63*x/(sqrt(-e^2*x^2 + d^2)*d^7)","A",0
845,1,373,0,1.457259," ","integrate(1/(e*x+d)^4/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{11 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{5} x^{4} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{4} x^{3} + 6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{3} x^{2} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} e\right)}} - \frac{7}{99 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{4} x^{3} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{3} x^{2} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} e\right)}} - \frac{2}{33 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{3} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} e\right)}} - \frac{2}{33 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} e\right)}} + \frac{8 \, x}{99 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{6}} + \frac{16 \, x}{99 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{8}}"," ",0,"-1/11/((-e^2*x^2 + d^2)^(3/2)*d*e^5*x^4 + 4*(-e^2*x^2 + d^2)^(3/2)*d^2*e^4*x^3 + 6*(-e^2*x^2 + d^2)^(3/2)*d^3*e^3*x^2 + 4*(-e^2*x^2 + d^2)^(3/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^5*e) - 7/99/((-e^2*x^2 + d^2)^(3/2)*d^2*e^4*x^3 + 3*(-e^2*x^2 + d^2)^(3/2)*d^3*e^3*x^2 + 3*(-e^2*x^2 + d^2)^(3/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^5*e) - 2/33/((-e^2*x^2 + d^2)^(3/2)*d^3*e^3*x^2 + 2*(-e^2*x^2 + d^2)^(3/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^5*e) - 2/33/((-e^2*x^2 + d^2)^(3/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^5*e) + 8/99*x/((-e^2*x^2 + d^2)^(3/2)*d^6) + 16/99*x/(sqrt(-e^2*x^2 + d^2)*d^8)","B",0
846,1,374,0,3.170068," ","integrate((e*x+d)^9/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{e^{7} x^{8}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{9 \, d e^{6} x^{7}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{77}{10} \, d^{3} e^{6} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{116 \, d^{2} e^{5} x^{6}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{77}{2} \, d^{3} e^{4} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} + \frac{358 \, d^{4} e^{3} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{63 \, d^{5} e^{2} x^{3}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{1348 \, d^{6} e x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{152 \, d^{7} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{2723 \, d^{8}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{619 \, d^{5} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} - \frac{989 \, d^{3} x}{30 \, \sqrt{-e^{2} x^{2} + d^{2}}} - \frac{231 \, d^{3} \arcsin\left(\frac{e x}{d}\right)}{2 \, e}"," ",0,"-1/3*e^7*x^8/(-e^2*x^2 + d^2)^(5/2) - 9/2*d*e^6*x^7/(-e^2*x^2 + d^2)^(5/2) + 77/10*d^3*e^6*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - 116/3*d^2*e^5*x^6/(-e^2*x^2 + d^2)^(5/2) - 77/2*d^3*e^4*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) + 358*d^4*e^3*x^4/(-e^2*x^2 + d^2)^(5/2) + 63*d^5*e^2*x^3/(-e^2*x^2 + d^2)^(5/2) - 1348/3*d^6*e*x^2/(-e^2*x^2 + d^2)^(5/2) - 152/5*d^7*x/(-e^2*x^2 + d^2)^(5/2) + 2723/15*d^8/((-e^2*x^2 + d^2)^(5/2)*e) + 619/15*d^5*x/(-e^2*x^2 + d^2)^(3/2) - 989/30*d^3*x/sqrt(-e^2*x^2 + d^2) - 231/2*d^3*arcsin(e*x/d)/e","B",0
847,1,349,0,3.114619," ","integrate((e*x+d)^8/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{e^{6} x^{7}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{21}{10} \, d^{2} e^{6} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{8 \, d e^{5} x^{6}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{21}{2} \, d^{2} e^{4} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} + \frac{104 \, d^{3} e^{3} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{35 \, d^{4} e^{2} x^{3}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{120 \, d^{5} e x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{76 \, d^{6} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{248 \, d^{7}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{69 \, d^{4} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} - \frac{39 \, d^{2} x}{10 \, \sqrt{-e^{2} x^{2} + d^{2}}} - \frac{63 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e}"," ",0,"-1/2*e^6*x^7/(-e^2*x^2 + d^2)^(5/2) + 21/10*d^2*e^6*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - 8*d*e^5*x^6/(-e^2*x^2 + d^2)^(5/2) - 21/2*d^2*e^4*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) + 104*d^3*e^3*x^4/(-e^2*x^2 + d^2)^(5/2) + 35*d^4*e^2*x^3/(-e^2*x^2 + d^2)^(5/2) - 120*d^5*e*x^2/(-e^2*x^2 + d^2)^(5/2) - 76/5*d^6*x/(-e^2*x^2 + d^2)^(5/2) + 248/5*d^7/((-e^2*x^2 + d^2)^(5/2)*e) + 69/5*d^4*x/(-e^2*x^2 + d^2)^(3/2) - 39/10*d^2*x/sqrt(-e^2*x^2 + d^2) - 63/2*d^2*arcsin(e*x/d)/e","B",0
848,1,318,0,3.158782," ","integrate((e*x+d)^7/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{7}{15} \, d e^{6} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{e^{5} x^{6}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{7}{3} \, d e^{4} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} + \frac{27 \, d^{2} e^{3} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{35 \, d^{3} e^{2} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{73 \, d^{4} e x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{61 \, d^{5} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{167 \, d^{6}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{127 \, d^{3} x}{30 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{22 \, d x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}}} - \frac{7 \, d \arcsin\left(\frac{e x}{d}\right)}{e}"," ",0,"7/15*d*e^6*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - e^5*x^6/(-e^2*x^2 + d^2)^(5/2) - 7/3*d*e^4*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) + 27*d^2*e^3*x^4/(-e^2*x^2 + d^2)^(5/2) + 35/2*d^3*e^2*x^3/(-e^2*x^2 + d^2)^(5/2) - 73/3*d^4*e*x^2/(-e^2*x^2 + d^2)^(5/2) - 61/10*d^5*x/(-e^2*x^2 + d^2)^(5/2) + 167/15*d^6/((-e^2*x^2 + d^2)^(5/2)*e) + 127/30*d^3*x/(-e^2*x^2 + d^2)^(3/2) + 22/15*d*x/sqrt(-e^2*x^2 + d^2) - 7*d*arcsin(e*x/d)/e","B",0
849,1,290,0,3.136487," ","integrate((e*x+d)^6/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{15} \, e^{6} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{1}{3} \, e^{4} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} + \frac{6 \, d e^{3} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{15 \, d^{2} e^{2} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{4 \, d^{3} e x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{13 \, d^{4} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{26 \, d^{5}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{31 \, d^{2} x}{30 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{16 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}}} - \frac{\arcsin\left(\frac{e x}{d}\right)}{e}"," ",0,"1/15*e^6*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - 1/3*e^4*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) + 6*d*e^3*x^4/(-e^2*x^2 + d^2)^(5/2) + 15/2*d^2*e^2*x^3/(-e^2*x^2 + d^2)^(5/2) - 4/3*d^3*e*x^2/(-e^2*x^2 + d^2)^(5/2) - 13/10*d^4*x/(-e^2*x^2 + d^2)^(5/2) + 26/15*d^5/((-e^2*x^2 + d^2)^(5/2)*e) + 31/30*d^2*x/(-e^2*x^2 + d^2)^(3/2) + 16/15*x/sqrt(-e^2*x^2 + d^2) - arcsin(e*x/d)/e","B",0
850,1,148,0,1.445994," ","integrate((e*x+d)^5/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e^{3} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{5 \, d e^{2} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{2 \, d^{2} e x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{7 \, d^{3} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{d^{4}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} + \frac{x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d}"," ",0,"e^3*x^4/(-e^2*x^2 + d^2)^(5/2) + 5/2*d*e^2*x^3/(-e^2*x^2 + d^2)^(5/2) + 2*d^2*e*x^2/(-e^2*x^2 + d^2)^(5/2) + 7/10*d^3*x/(-e^2*x^2 + d^2)^(5/2) + 1/5*d^4/((-e^2*x^2 + d^2)^(5/2)*e) + 1/10*d*x/(-e^2*x^2 + d^2)^(3/2) + 1/5*x/(sqrt(-e^2*x^2 + d^2)*d)","B",0
851,1,123,0,1.390133," ","integrate((e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e^{2} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{4 \, d e x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{11 \, d^{2} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{4 \, d^{3}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} - \frac{x}{30 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}} - \frac{x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}"," ",0,"1/2*e^2*x^3/(-e^2*x^2 + d^2)^(5/2) + 4/3*d*e*x^2/(-e^2*x^2 + d^2)^(5/2) + 11/10*d^2*x/(-e^2*x^2 + d^2)^(5/2) + 4/15*d^3/((-e^2*x^2 + d^2)^(5/2)*e) - 1/30*x/(-e^2*x^2 + d^2)^(3/2) - 1/15*x/(sqrt(-e^2*x^2 + d^2)*d^2)","B",0
852,1,101,0,1.392543," ","integrate((e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{4 \, d x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{7 \, d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}"," ",0,"1/3*e*x^2/(-e^2*x^2 + d^2)^(5/2) + 4/5*d*x/(-e^2*x^2 + d^2)^(5/2) + 7/15*d^2/((-e^2*x^2 + d^2)^(5/2)*e) + 1/15*x/((-e^2*x^2 + d^2)^(3/2)*d) + 2/15*x/(sqrt(-e^2*x^2 + d^2)*d^3)","A",0
853,1,78,0,1.335910," ","integrate((e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{2 \, x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{2 \, d}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}} + \frac{2 \, x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4}}"," ",0,"2/5*x/(-e^2*x^2 + d^2)^(5/2) + 2/5*d/((-e^2*x^2 + d^2)^(5/2)*e) + 1/5*x/((-e^2*x^2 + d^2)^(3/2)*d^2) + 2/5*x/(sqrt(-e^2*x^2 + d^2)*d^4)","A",0
854,1,80,0,1.367350," ","integrate((e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d} + \frac{1}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{4 \, x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}} + \frac{8 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}}"," ",0,"1/5*x/((-e^2*x^2 + d^2)^(5/2)*d) + 1/5/((-e^2*x^2 + d^2)^(5/2)*e) + 4/15*x/((-e^2*x^2 + d^2)^(3/2)*d^3) + 8/15*x/(sqrt(-e^2*x^2 + d^2)*d^5)","A",0
855,1,105,0,1.428431," ","integrate(1/(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{1}{7 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e\right)}} + \frac{6 \, x}{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}} + \frac{8 \, x}{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5}} + \frac{16 \, x}{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7}}"," ",0,"-1/7/((-e^2*x^2 + d^2)^(5/2)*d*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^2*e) + 6/35*x/((-e^2*x^2 + d^2)^(5/2)*d^3) + 8/35*x/((-e^2*x^2 + d^2)^(3/2)*d^5) + 16/35*x/(sqrt(-e^2*x^2 + d^2)*d^7)","A",0
856,1,176,0,1.446639," ","integrate(1/(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{1}{9 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{3} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e\right)}} - \frac{1}{9 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e\right)}} + \frac{2 \, x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4}} + \frac{8 \, x}{45 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{6}} + \frac{16 \, x}{45 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{8}}"," ",0,"-1/9/((-e^2*x^2 + d^2)^(5/2)*d*e^3*x^2 + 2*(-e^2*x^2 + d^2)^(5/2)*d^2*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^3*e) - 1/9/((-e^2*x^2 + d^2)^(5/2)*d^2*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^3*e) + 2/15*x/((-e^2*x^2 + d^2)^(5/2)*d^4) + 8/45*x/((-e^2*x^2 + d^2)^(3/2)*d^6) + 16/45*x/(sqrt(-e^2*x^2 + d^2)*d^8)","A",0
857,1,272,0,1.501232," ","integrate(1/(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{1}{11 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{4} x^{3} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{3} x^{2} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e\right)}} - \frac{8}{99 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{3} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e\right)}} - \frac{8}{99 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e\right)}} + \frac{16 \, x}{165 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5}} + \frac{64 \, x}{495 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{7}} + \frac{128 \, x}{495 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{9}}"," ",0,"-1/11/((-e^2*x^2 + d^2)^(5/2)*d*e^4*x^3 + 3*(-e^2*x^2 + d^2)^(5/2)*d^2*e^3*x^2 + 3*(-e^2*x^2 + d^2)^(5/2)*d^3*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^4*e) - 8/99/((-e^2*x^2 + d^2)^(5/2)*d^2*e^3*x^2 + 2*(-e^2*x^2 + d^2)^(5/2)*d^3*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^4*e) - 8/99/((-e^2*x^2 + d^2)^(5/2)*d^3*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^4*e) + 16/165*x/((-e^2*x^2 + d^2)^(5/2)*d^5) + 64/495*x/((-e^2*x^2 + d^2)^(3/2)*d^7) + 128/495*x/(sqrt(-e^2*x^2 + d^2)*d^9)","A",0
858,1,393,0,1.546705," ","integrate(1/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{1}{13 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{5} x^{4} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x^{3} + 6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x^{2} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e\right)}} - \frac{9}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x^{3} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x^{2} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e\right)}} - \frac{8}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e\right)}} - \frac{8}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e\right)}} + \frac{48 \, x}{715 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{6}} + \frac{64 \, x}{715 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{8}} + \frac{128 \, x}{715 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{10}}"," ",0,"-1/13/((-e^2*x^2 + d^2)^(5/2)*d*e^5*x^4 + 4*(-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x^3 + 6*(-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x^2 + 4*(-e^2*x^2 + d^2)^(5/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^5*e) - 9/143/((-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x^3 + 3*(-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x^2 + 3*(-e^2*x^2 + d^2)^(5/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^5*e) - 8/143/((-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x^2 + 2*(-e^2*x^2 + d^2)^(5/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^5*e) - 8/143/((-e^2*x^2 + d^2)^(5/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^5*e) + 48/715*x/((-e^2*x^2 + d^2)^(5/2)*d^6) + 64/715*x/((-e^2*x^2 + d^2)^(3/2)*d^8) + 128/715*x/(sqrt(-e^2*x^2 + d^2)*d^10)","B",0
859,1,539,0,1.513061," ","integrate(1/(e*x+d)^5/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{1}{15 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{6} x^{5} + 5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{5} x^{4} + 10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{4} x^{3} + 10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{3} x^{2} + 5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{6} e\right)}} - \frac{2}{39 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{5} x^{4} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{4} x^{3} + 6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{3} x^{2} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{6} e\right)}} - \frac{6}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{4} x^{3} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{3} x^{2} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{6} e\right)}} - \frac{16}{429 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{3} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{6} e\right)}} - \frac{16}{429 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{6} e\right)}} + \frac{32 \, x}{715 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{7}} + \frac{128 \, x}{2145 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{9}} + \frac{256 \, x}{2145 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{11}}"," ",0,"-1/15/((-e^2*x^2 + d^2)^(5/2)*d*e^6*x^5 + 5*(-e^2*x^2 + d^2)^(5/2)*d^2*e^5*x^4 + 10*(-e^2*x^2 + d^2)^(5/2)*d^3*e^4*x^3 + 10*(-e^2*x^2 + d^2)^(5/2)*d^4*e^3*x^2 + 5*(-e^2*x^2 + d^2)^(5/2)*d^5*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^6*e) - 2/39/((-e^2*x^2 + d^2)^(5/2)*d^2*e^5*x^4 + 4*(-e^2*x^2 + d^2)^(5/2)*d^3*e^4*x^3 + 6*(-e^2*x^2 + d^2)^(5/2)*d^4*e^3*x^2 + 4*(-e^2*x^2 + d^2)^(5/2)*d^5*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^6*e) - 6/143/((-e^2*x^2 + d^2)^(5/2)*d^3*e^4*x^3 + 3*(-e^2*x^2 + d^2)^(5/2)*d^4*e^3*x^2 + 3*(-e^2*x^2 + d^2)^(5/2)*d^5*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^6*e) - 16/429/((-e^2*x^2 + d^2)^(5/2)*d^4*e^3*x^2 + 2*(-e^2*x^2 + d^2)^(5/2)*d^5*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^6*e) - 16/429/((-e^2*x^2 + d^2)^(5/2)*d^5*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^6*e) + 32/715*x/((-e^2*x^2 + d^2)^(5/2)*d^7) + 128/2145*x/((-e^2*x^2 + d^2)^(3/2)*d^9) + 256/2145*x/(sqrt(-e^2*x^2 + d^2)*d^11)","B",0
860,1,14,0,2.959273," ","integrate((1+x)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 1} + \arcsin\left(x\right)"," ",0,"-sqrt(-x^2 + 1) + arcsin(x)","A",0
861,1,12,0,2.995591," ","integrate((1-x)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\sqrt{-x^{2} + 1} + \arcsin\left(x\right)"," ",0,"sqrt(-x^2 + 1) + arcsin(x)","A",0
862,1,82,0,1.469383," ","integrate((e*x+d)^(5/2)*(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, \sqrt{c} e^{4} x^{4} + 130 \, \sqrt{c} d e^{3} x^{3} + 156 \, \sqrt{c} d^{2} e^{2} x^{2} - 2 \, \sqrt{c} d^{3} e x - 319 \, \sqrt{c} d^{4}\right)} {\left(e x + d\right)} \sqrt{-e x + d}}{315 \, {\left(e^{2} x + d e\right)}}"," ",0,"2/315*(35*sqrt(c)*e^4*x^4 + 130*sqrt(c)*d*e^3*x^3 + 156*sqrt(c)*d^2*e^2*x^2 - 2*sqrt(c)*d^3*e*x - 319*sqrt(c)*d^4)*(e*x + d)*sqrt(-e*x + d)/(e^2*x + d*e)","A",0
863,1,68,0,1.545745," ","integrate((e*x+d)^(3/2)*(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, \sqrt{c} e^{3} x^{3} + 39 \, \sqrt{c} d e^{2} x^{2} + 17 \, \sqrt{c} d^{2} e x - 71 \, \sqrt{c} d^{3}\right)} {\left(e x + d\right)} \sqrt{-e x + d}}{105 \, {\left(e^{2} x + d e\right)}}"," ",0,"2/105*(15*sqrt(c)*e^3*x^3 + 39*sqrt(c)*d*e^2*x^2 + 17*sqrt(c)*d^2*e*x - 71*sqrt(c)*d^3)*(e*x + d)*sqrt(-e*x + d)/(e^2*x + d*e)","A",0
864,1,54,0,1.560507," ","integrate((e*x+d)^(1/2)*(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, \sqrt{c} e^{2} x^{2} + 4 \, \sqrt{c} d e x - 7 \, \sqrt{c} d^{2}\right)} {\left(e x + d\right)} \sqrt{-e x + d}}{15 \, {\left(e^{2} x + d e\right)}}"," ",0,"2/15*(3*sqrt(c)*e^2*x^2 + 4*sqrt(c)*d*e*x - 7*sqrt(c)*d^2)*(e*x + d)*sqrt(-e*x + d)/(e^2*x + d*e)","A",0
865,1,26,0,1.484788," ","integrate((-c*e^2*x^2+c*d^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\sqrt{c} e x - \sqrt{c} d\right)} \sqrt{-e x + d}}{3 \, e}"," ",0,"2/3*(sqrt(c)*e*x - sqrt(c)*d)*sqrt(-e*x + d)/e","A",0
866,0,0,0,0.000000," ","integrate((-c*e^2*x^2+c*d^2)^(1/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-c e^{2} x^{2} + c d^{2}}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e^2*x^2 + c*d^2)/(e*x + d)^(3/2), x)","F",0
867,0,0,0,0.000000," ","integrate((-c*e^2*x^2+c*d^2)^(1/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-c e^{2} x^{2} + c d^{2}}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e^2*x^2 + c*d^2)/(e*x + d)^(5/2), x)","F",0
868,0,0,0,0.000000," ","integrate((-c*e^2*x^2+c*d^2)^(1/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-c e^{2} x^{2} + c d^{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e^2*x^2 + c*d^2)/(e*x + d)^(7/2), x)","F",0
869,1,110,0,1.616546," ","integrate((e*x+d)^(5/2)*(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(1155 \, c^{\frac{3}{2}} e^{6} x^{6} + 3990 \, c^{\frac{3}{2}} d e^{5} x^{5} + 2765 \, c^{\frac{3}{2}} d^{2} e^{4} x^{4} - 5420 \, c^{\frac{3}{2}} d^{3} e^{3} x^{3} - 9507 \, c^{\frac{3}{2}} d^{4} e^{2} x^{2} - 2666 \, c^{\frac{3}{2}} d^{5} e x + 9683 \, c^{\frac{3}{2}} d^{6}\right)} {\left(e x + d\right)} \sqrt{-e x + d}}{15015 \, {\left(e^{2} x + d e\right)}}"," ",0,"-2/15015*(1155*c^(3/2)*e^6*x^6 + 3990*c^(3/2)*d*e^5*x^5 + 2765*c^(3/2)*d^2*e^4*x^4 - 5420*c^(3/2)*d^3*e^3*x^3 - 9507*c^(3/2)*d^4*e^2*x^2 - 2666*c^(3/2)*d^5*e*x + 9683*c^(3/2)*d^6)*(e*x + d)*sqrt(-e*x + d)/(e^2*x + d*e)","A",0
870,1,96,0,1.602053," ","integrate((e*x+d)^(3/2)*(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(105 \, c^{\frac{3}{2}} e^{5} x^{5} + 245 \, c^{\frac{3}{2}} d e^{4} x^{4} - 50 \, c^{\frac{3}{2}} d^{2} e^{3} x^{3} - 522 \, c^{\frac{3}{2}} d^{3} e^{2} x^{2} - 311 \, c^{\frac{3}{2}} d^{4} e x + 533 \, c^{\frac{3}{2}} d^{5}\right)} {\left(e x + d\right)} \sqrt{-e x + d}}{1155 \, {\left(e^{2} x + d e\right)}}"," ",0,"-2/1155*(105*c^(3/2)*e^5*x^5 + 245*c^(3/2)*d*e^4*x^4 - 50*c^(3/2)*d^2*e^3*x^3 - 522*c^(3/2)*d^3*e^2*x^2 - 311*c^(3/2)*d^4*e*x + 533*c^(3/2)*d^5)*(e*x + d)*sqrt(-e*x + d)/(e^2*x + d*e)","A",0
871,1,82,0,1.569249," ","integrate((e*x+d)^(1/2)*(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(35 \, c^{\frac{3}{2}} e^{4} x^{4} + 40 \, c^{\frac{3}{2}} d e^{3} x^{3} - 78 \, c^{\frac{3}{2}} d^{2} e^{2} x^{2} - 104 \, c^{\frac{3}{2}} d^{3} e x + 107 \, c^{\frac{3}{2}} d^{4}\right)} {\left(e x + d\right)} \sqrt{-e x + d}}{315 \, {\left(e^{2} x + d e\right)}}"," ",0,"-2/315*(35*c^(3/2)*e^4*x^4 + 40*c^(3/2)*d*e^3*x^3 - 78*c^(3/2)*d^2*e^2*x^2 - 104*c^(3/2)*d^3*e*x + 107*c^(3/2)*d^4)*(e*x + d)*sqrt(-e*x + d)/(e^2*x + d*e)","A",0
872,1,55,0,1.501342," ","integrate((-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(5 \, c^{\frac{3}{2}} e^{3} x^{3} - c^{\frac{3}{2}} d e^{2} x^{2} - 13 \, c^{\frac{3}{2}} d^{2} e x + 9 \, c^{\frac{3}{2}} d^{3}\right)} \sqrt{-e x + d}}{35 \, e}"," ",0,"-2/35*(5*c^(3/2)*e^3*x^3 - c^(3/2)*d*e^2*x^2 - 13*c^(3/2)*d^2*e*x + 9*c^(3/2)*d^3)*sqrt(-e*x + d)/e","A",0
873,1,39,0,1.504578," ","integrate((-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(c^{\frac{3}{2}} e^{2} x^{2} - 2 \, c^{\frac{3}{2}} d e x + c^{\frac{3}{2}} d^{2}\right)} \sqrt{-e x + d}}{5 \, e}"," ",0,"-2/5*(c^(3/2)*e^2*x^2 - 2*c^(3/2)*d*e*x + c^(3/2)*d^2)*sqrt(-e*x + d)/e","A",0
874,0,0,0,0.000000," ","integrate((-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} + c d^{2}\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 + c*d^2)^(3/2)/(e*x + d)^(5/2), x)","F",0
875,0,0,0,0.000000," ","integrate((-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} + c d^{2}\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 + c*d^2)^(3/2)/(e*x + d)^(7/2), x)","F",0
876,0,0,0,0.000000," ","integrate((-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} + c d^{2}\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 + c*d^2)^(3/2)/(e*x + d)^(9/2), x)","F",0
877,0,0,0,0.000000," ","integrate((-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} + c d^{2}\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 + c*d^2)^(3/2)/(e*x + d)^(11/2), x)","F",0
878,0,0,0,0.000000," ","integrate((-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} + c d^{2}\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 + c*d^2)^(3/2)/(e*x + d)^(13/2), x)","F",0
879,1,57,0,1.466574," ","integrate((e*x+d)^(7/2)/(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, e^{4} x^{4} + 22 \, d e^{3} x^{3} + 44 \, d^{2} e^{2} x^{2} + 106 \, d^{3} e x - 177 \, d^{4}\right)}}{35 \, \sqrt{-e x + d} \sqrt{c} e}"," ",0,"2/35*(5*e^4*x^4 + 22*d*e^3*x^3 + 44*d^2*e^2*x^2 + 106*d^3*e*x - 177*d^4)/(sqrt(-e*x + d)*sqrt(c)*e)","A",0
880,1,58,0,1.483901," ","integrate((e*x+d)^(5/2)/(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, \sqrt{c} e^{3} x^{3} + 11 \, \sqrt{c} d e^{2} x^{2} + 29 \, \sqrt{c} d^{2} e x - 43 \, \sqrt{c} d^{3}\right)}}{15 \, \sqrt{-e x + d} c e}"," ",0,"2/15*(3*sqrt(c)*e^3*x^3 + 11*sqrt(c)*d*e^2*x^2 + 29*sqrt(c)*d^2*e*x - 43*sqrt(c)*d^3)/(sqrt(-e*x + d)*c*e)","A",0
881,1,34,0,1.503793," ","integrate((e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(e^{2} x^{2} + 4 \, d e x - 5 \, d^{2}\right)}}{3 \, \sqrt{-e x + d} \sqrt{c} e}"," ",0,"2/3*(e^2*x^2 + 4*d*e*x - 5*d^2)/(sqrt(-e*x + d)*sqrt(c)*e)","A",0
882,1,29,0,1.488429," ","integrate((e*x+d)^(1/2)/(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\sqrt{c} e x - \sqrt{c} d\right)}}{\sqrt{-e x + d} c e}"," ",0,"2*(sqrt(c)*e*x - sqrt(c)*d)/(sqrt(-e*x + d)*c*e)","A",0
883,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c e^{2} x^{2} + c d^{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*e^2*x^2 + c*d^2)*sqrt(e*x + d)), x)","F",0
884,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c e^{2} x^{2} + c d^{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*e^2*x^2 + c*d^2)*(e*x + d)^(3/2)), x)","F",0
885,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(-c*e^2*x^2+c*d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-c e^{2} x^{2} + c d^{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-c*e^2*x^2 + c*d^2)*(e*x + d)^(5/2)), x)","F",0
886,1,45,0,1.539649," ","integrate((e*x+d)^(9/2)/(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(e^{3} x^{3} + 7 \, d e^{2} x^{2} + 43 \, d^{2} e x - 91 \, d^{3}\right)}}{5 \, \sqrt{-e x + d} c^{\frac{3}{2}} e}"," ",0,"-2/5*(e^3*x^3 + 7*d*e^2*x^2 + 43*d^2*e*x - 91*d^3)/(sqrt(-e*x + d)*c^(3/2)*e)","A",0
887,1,43,0,1.523522," ","integrate((e*x+d)^(7/2)/(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\sqrt{c} e^{2} x^{2} + 10 \, \sqrt{c} d e x - 23 \, \sqrt{c} d^{2}\right)}}{3 \, \sqrt{-e x + d} c^{2} e}"," ",0,"-2/3*(sqrt(c)*e^2*x^2 + 10*sqrt(c)*d*e*x - 23*sqrt(c)*d^2)/(sqrt(-e*x + d)*c^2*e)","A",0
888,1,23,0,1.516579," ","integrate((e*x+d)^(5/2)/(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(e x - 3 \, d\right)}}{\sqrt{-e x + d} c^{\frac{3}{2}} e}"," ",0,"-2*(e*x - 3*d)/(sqrt(-e*x + d)*c^(3/2)*e)","A",0
889,1,16,0,1.484101," ","integrate((e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{2}{\sqrt{-e x + d} c^{\frac{3}{2}} e}"," ",0,"2/(sqrt(-e*x + d)*c^(3/2)*e)","A",0
890,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(-c e^{2} x^{2} + c d^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(-c*e^2*x^2 + c*d^2)^(3/2), x)","F",0
891,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-c e^{2} x^{2} + c d^{2}\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((-c*e^2*x^2 + c*d^2)^(3/2)*sqrt(e*x + d)), x)","F",0
892,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-c e^{2} x^{2} + c d^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((-c*e^2*x^2 + c*d^2)^(3/2)*(e*x + d)^(3/2)), x)","F",0
893,0,0,0,0.000000," ","integrate(1/(-1+x)^(1/2)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{2} + 1} \sqrt{x - 1}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^2 + 1)*sqrt(x - 1)), x)","F",0
894,1,71,0,3.129750," ","integrate((e*x+2)^(5/2)*(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","\frac{{\left(70 i \, \sqrt{3} e^{4} x^{4} + 520 i \, \sqrt{3} e^{3} x^{3} + 1248 i \, \sqrt{3} e^{2} x^{2} - 32 i \, \sqrt{3} e x - 10208 i \, \sqrt{3}\right)} {\left(e x + 2\right)} \sqrt{e x - 2}}{315 \, {\left(e^{2} x + 2 \, e\right)}}"," ",0,"1/315*(70*I*sqrt(3)*e^4*x^4 + 520*I*sqrt(3)*e^3*x^3 + 1248*I*sqrt(3)*e^2*x^2 - 32*I*sqrt(3)*e*x - 10208*I*sqrt(3))*(e*x + 2)*sqrt(e*x - 2)/(e^2*x + 2*e)","C",0
895,1,60,0,3.135625," ","integrate((e*x+2)^(3/2)*(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","\frac{{\left(30 i \, \sqrt{3} e^{3} x^{3} + 156 i \, \sqrt{3} e^{2} x^{2} + 136 i \, \sqrt{3} e x - 1136 i \, \sqrt{3}\right)} {\left(e x + 2\right)} \sqrt{e x - 2}}{105 \, {\left(e^{2} x + 2 \, e\right)}}"," ",0,"1/105*(30*I*sqrt(3)*e^3*x^3 + 156*I*sqrt(3)*e^2*x^2 + 136*I*sqrt(3)*e*x - 1136*I*sqrt(3))*(e*x + 2)*sqrt(e*x - 2)/(e^2*x + 2*e)","C",0
896,1,49,0,3.115550," ","integrate((e*x+2)^(1/2)*(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","\frac{{\left(6 i \, \sqrt{3} e^{2} x^{2} + 16 i \, \sqrt{3} e x - 56 i \, \sqrt{3}\right)} {\left(e x + 2\right)} \sqrt{e x - 2}}{15 \, {\left(e^{2} x + 2 \, e\right)}}"," ",0,"1/15*(6*I*sqrt(3)*e^2*x^2 + 16*I*sqrt(3)*e*x - 56*I*sqrt(3))*(e*x + 2)*sqrt(e*x - 2)/(e^2*x + 2*e)","C",0
897,1,25,0,3.084892," ","integrate((-3*e^2*x^2+12)^(1/2)/(e*x+2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(2 i \, \sqrt{3} e x - 4 i \, \sqrt{3}\right)} \sqrt{e x - 2}}{3 \, e}"," ",0,"1/3*(2*I*sqrt(3)*e*x - 4*I*sqrt(3))*sqrt(e*x - 2)/e","C",0
898,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(1/2)/(e*x+2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, e^{2} x^{2} + 12}}{{\left(e x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-3*e^2*x^2 + 12)/(e*x + 2)^(3/2), x)","F",0
899,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(1/2)/(e*x+2)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, e^{2} x^{2} + 12}}{{\left(e x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-3*e^2*x^2 + 12)/(e*x + 2)^(5/2), x)","F",0
900,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(1/2)/(e*x+2)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, e^{2} x^{2} + 12}}{{\left(e x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(-3*e^2*x^2 + 12)/(e*x + 2)^(7/2), x)","F",0
901,1,93,0,3.088345," ","integrate((e*x+2)^(5/2)*(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(2310 i \, \sqrt{3} e^{6} x^{6} + 15960 i \, \sqrt{3} e^{5} x^{5} + 22120 i \, \sqrt{3} e^{4} x^{4} - 86720 i \, \sqrt{3} e^{3} x^{3} - 304224 i \, \sqrt{3} e^{2} x^{2} - 170624 i \, \sqrt{3} e x + 1239424 i \, \sqrt{3}\right)} {\left(e x + 2\right)} \sqrt{e x - 2}}{5005 \, {\left(e^{2} x + 2 \, e\right)}}"," ",0,"-1/5005*(2310*I*sqrt(3)*e^6*x^6 + 15960*I*sqrt(3)*e^5*x^5 + 22120*I*sqrt(3)*e^4*x^4 - 86720*I*sqrt(3)*e^3*x^3 - 304224*I*sqrt(3)*e^2*x^2 - 170624*I*sqrt(3)*e*x + 1239424*I*sqrt(3))*(e*x + 2)*sqrt(e*x - 2)/(e^2*x + 2*e)","C",0
902,1,82,0,3.186152," ","integrate((e*x+2)^(3/2)*(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(210 i \, \sqrt{3} e^{5} x^{5} + 980 i \, \sqrt{3} e^{4} x^{4} - 400 i \, \sqrt{3} e^{3} x^{3} - 8352 i \, \sqrt{3} e^{2} x^{2} - 9952 i \, \sqrt{3} e x + 34112 i \, \sqrt{3}\right)} {\left(e x + 2\right)} \sqrt{e x - 2}}{385 \, {\left(e^{2} x + 2 \, e\right)}}"," ",0,"-1/385*(210*I*sqrt(3)*e^5*x^5 + 980*I*sqrt(3)*e^4*x^4 - 400*I*sqrt(3)*e^3*x^3 - 8352*I*sqrt(3)*e^2*x^2 - 9952*I*sqrt(3)*e*x + 34112*I*sqrt(3))*(e*x + 2)*sqrt(e*x - 2)/(e^2*x + 2*e)","C",0
903,1,71,0,3.179830," ","integrate((e*x+2)^(1/2)*(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(70 i \, \sqrt{3} e^{4} x^{4} + 160 i \, \sqrt{3} e^{3} x^{3} - 624 i \, \sqrt{3} e^{2} x^{2} - 1664 i \, \sqrt{3} e x + 3424 i \, \sqrt{3}\right)} {\left(e x + 2\right)} \sqrt{e x - 2}}{105 \, {\left(e^{2} x + 2 \, e\right)}}"," ",0,"-1/105*(70*I*sqrt(3)*e^4*x^4 + 160*I*sqrt(3)*e^3*x^3 - 624*I*sqrt(3)*e^2*x^2 - 1664*I*sqrt(3)*e*x + 3424*I*sqrt(3))*(e*x + 2)*sqrt(e*x - 2)/(e^2*x + 2*e)","C",0
904,1,47,0,2.971396," ","integrate((-3*e^2*x^2+12)^(3/2)/(e*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(30 i \, \sqrt{3} e^{3} x^{3} - 12 i \, \sqrt{3} e^{2} x^{2} - 312 i \, \sqrt{3} e x + 432 i \, \sqrt{3}\right)} \sqrt{e x - 2}}{35 \, e}"," ",0,"-1/35*(30*I*sqrt(3)*e^3*x^3 - 12*I*sqrt(3)*e^2*x^2 - 312*I*sqrt(3)*e*x + 432*I*sqrt(3))*sqrt(e*x - 2)/e","C",0
905,1,36,0,3.094214," ","integrate((-3*e^2*x^2+12)^(3/2)/(e*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(6 i \, \sqrt{3} e^{2} x^{2} - 24 i \, \sqrt{3} e x + 24 i \, \sqrt{3}\right)} \sqrt{e x - 2}}{5 \, e}"," ",0,"-1/5*(6*I*sqrt(3)*e^2*x^2 - 24*I*sqrt(3)*e*x + 24*I*sqrt(3))*sqrt(e*x - 2)/e","C",0
906,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(3/2)/(e*x+2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{3}{2}}}{{\left(e x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(3/2)/(e*x + 2)^(5/2), x)","F",0
907,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(3/2)/(e*x+2)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{3}{2}}}{{\left(e x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(3/2)/(e*x + 2)^(7/2), x)","F",0
908,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(3/2)/(e*x+2)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{3}{2}}}{{\left(e x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(3/2)/(e*x + 2)^(9/2), x)","F",0
909,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(3/2)/(e*x+2)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{3}{2}}}{{\left(e x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(3/2)/(e*x + 2)^(11/2), x)","F",0
910,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(3/2)/(e*x+2)^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{3}{2}}}{{\left(e x + 2\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(3/2)/(e*x + 2)^(13/2), x)","F",0
911,1,45,0,3.178529," ","integrate((e*x+2)^(7/2)/(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","-\frac{2 i \, \sqrt{3} {\left(5 \, e^{4} x^{4} + 44 \, e^{3} x^{3} + 176 \, e^{2} x^{2} + 848 \, e x - 2832\right)}}{105 \, \sqrt{e x - 2} e}"," ",0,"-2/105*I*sqrt(3)*(5*e^4*x^4 + 44*e^3*x^3 + 176*e^2*x^2 + 848*e*x - 2832)/(sqrt(e*x - 2)*e)","C",0
912,1,47,0,3.037700," ","integrate((e*x+2)^(5/2)/(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","-\frac{6 i \, \sqrt{3} e^{3} x^{3} + 44 i \, \sqrt{3} e^{2} x^{2} + 232 i \, \sqrt{3} e x - 688 i \, \sqrt{3}}{45 \, \sqrt{e x - 2} e}"," ",0,"-1/45*(6*I*sqrt(3)*e^3*x^3 + 44*I*sqrt(3)*e^2*x^2 + 232*I*sqrt(3)*e*x - 688*I*sqrt(3))/(sqrt(e*x - 2)*e)","C",0
913,1,28,0,3.085715," ","integrate((e*x+2)^(3/2)/(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","-\frac{2 i \, \sqrt{3} {\left(e^{2} x^{2} + 8 \, e x - 20\right)}}{9 \, \sqrt{e x - 2} e}"," ",0,"-2/9*I*sqrt(3)*(e^2*x^2 + 8*e*x - 20)/(sqrt(e*x - 2)*e)","C",0
914,1,25,0,2.979719," ","integrate((e*x+2)^(1/2)/(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","-\frac{2 i \, \sqrt{3} e x - 4 i \, \sqrt{3}}{3 \, \sqrt{e x - 2} e}"," ",0,"-1/3*(2*I*sqrt(3)*e*x - 4*I*sqrt(3))/(sqrt(e*x - 2)*e)","C",0
915,0,0,0,0.000000," ","integrate(1/(e*x+2)^(1/2)/(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-3 \, e^{2} x^{2} + 12} \sqrt{e x + 2}}\,{d x}"," ",0,"integrate(1/(sqrt(-3*e^2*x^2 + 12)*sqrt(e*x + 2)), x)","F",0
916,0,0,0,0.000000," ","integrate(1/(e*x+2)^(3/2)/(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-3 \, e^{2} x^{2} + 12} {\left(e x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-3*e^2*x^2 + 12)*(e*x + 2)^(3/2)), x)","F",0
917,0,0,0,0.000000," ","integrate(1/(e*x+2)^(5/2)/(-3*e^2*x^2+12)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-3 \, e^{2} x^{2} + 12} {\left(e x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-3*e^2*x^2 + 12)*(e*x + 2)^(5/2)), x)","F",0
918,1,58,0,2.997499," ","integrate((e*x+2)^(11/2)/(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","\frac{10 i \, \sqrt{3} e^{4} x^{4} + 144 i \, \sqrt{3} e^{3} x^{3} + 1136 i \, \sqrt{3} e^{2} x^{2} + 11328 i \, \sqrt{3} e x - 46432 i \, \sqrt{3}}{315 \, \sqrt{e x - 2} e}"," ",0,"1/315*(10*I*sqrt(3)*e^4*x^4 + 144*I*sqrt(3)*e^3*x^3 + 1136*I*sqrt(3)*e^2*x^2 + 11328*I*sqrt(3)*e*x - 46432*I*sqrt(3))/(sqrt(e*x - 2)*e)","C",0
919,1,36,0,3.068405," ","integrate((e*x+2)^(9/2)/(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","\frac{2 i \, \sqrt{3} {\left(e^{3} x^{3} + 14 \, e^{2} x^{2} + 172 \, e x - 728\right)}}{45 \, \sqrt{e x - 2} e}"," ",0,"2/45*I*sqrt(3)*(e^3*x^3 + 14*e^2*x^2 + 172*e*x - 728)/(sqrt(e*x - 2)*e)","C",0
920,1,36,0,3.054174," ","integrate((e*x+2)^(7/2)/(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","\frac{2 i \, \sqrt{3} e^{2} x^{2} + 40 i \, \sqrt{3} e x - 184 i \, \sqrt{3}}{27 \, \sqrt{e x - 2} e}"," ",0,"1/27*(2*I*sqrt(3)*e^2*x^2 + 40*I*sqrt(3)*e*x - 184*I*sqrt(3))/(sqrt(e*x - 2)*e)","C",0
921,1,20,0,3.012636," ","integrate((e*x+2)^(5/2)/(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","\frac{2 i \, \sqrt{3} {\left(e x - 6\right)}}{9 \, \sqrt{e x - 2} e}"," ",0,"2/9*I*sqrt(3)*(e*x - 6)/(sqrt(e*x - 2)*e)","C",0
922,1,15,0,3.023547," ","integrate((e*x+2)^(3/2)/(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","-\frac{2 i \, \sqrt{3}}{9 \, \sqrt{e x - 2} e}"," ",0,"-2/9*I*sqrt(3)/(sqrt(e*x - 2)*e)","C",0
923,0,0,0,0.000000," ","integrate((e*x+2)^(1/2)/(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + 2}}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + 2)/(-3*e^2*x^2 + 12)^(3/2), x)","F",0
924,0,0,0,0.000000," ","integrate(1/(e*x+2)^(1/2)/(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{3}{2}} \sqrt{e x + 2}}\,{d x}"," ",0,"integrate(1/((-3*e^2*x^2 + 12)^(3/2)*sqrt(e*x + 2)), x)","F",0
925,0,0,0,0.000000," ","integrate(1/(e*x+2)^(3/2)/(-3*e^2*x^2+12)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{3}{2}} {\left(e x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((-3*e^2*x^2 + 12)^(3/2)*(e*x + 2)^(3/2)), x)","F",0
926,1,34,0,2.973513," ","integrate(1/(1+x)/(1-x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{-x + 1}}{\sqrt{2} + \sqrt{-x + 1}}\right)"," ",0,"1/2*sqrt(2)*log(-(sqrt(2) - sqrt(-x + 1))/(sqrt(2) + sqrt(-x + 1)))","A",0
927,0,0,0,0.000000," ","integrate(1/(1+x)^(1/2)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{2} + 1} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^2 + 1)*sqrt(x + 1)), x)","F",0
928,1,39,0,2.861288," ","integrate(1/(a*x+1)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{-a x + 1}}{\sqrt{2} + \sqrt{-a x + 1}}\right)}{2 \, a}"," ",0,"1/2*sqrt(2)*log(-(sqrt(2) - sqrt(-a*x + 1))/(sqrt(2) + sqrt(-a*x + 1)))/a","A",0
929,0,0,0,0.000000," ","integrate(1/(a*x+1)^(1/2)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-a^{2} x^{2} + 1} \sqrt{a x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(-a^2*x^2 + 1)*sqrt(a*x + 1)), x)","F",0
930,0,0,0,0.000000," ","integrate((e*x+2)^(1/2)*(-3*e^2*x^2+12)^(1/4),x, algorithm=""maxima"")","\int {\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}} \sqrt{e x + 2}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(1/4)*sqrt(e*x + 2), x)","F",0
931,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(1/4)/(e*x+2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}}}{\sqrt{e x + 2}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(1/4)/sqrt(e*x + 2), x)","F",0
932,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(1/4)/(e*x+2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}}}{{\left(e x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(1/4)/(e*x + 2)^(3/2), x)","F",0
933,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(1/4)/(e*x+2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}}}{{\left(e x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(1/4)/(e*x + 2)^(5/2), x)","F",0
934,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(1/4)/(e*x+2)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}}}{{\left(e x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(1/4)/(e*x + 2)^(7/2), x)","F",0
935,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(1/4)/(e*x+2)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}}}{{\left(e x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(1/4)/(e*x + 2)^(9/2), x)","F",0
936,0,0,0,0.000000," ","integrate((-3*e^2*x^2+12)^(1/4)/(e*x+2)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}}}{{\left(e x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((-3*e^2*x^2 + 12)^(1/4)/(e*x + 2)^(11/2), x)","F",0
937,0,0,0,0.000000," ","integrate((e*x+2)^(5/2)/(-3*e^2*x^2+12)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(e x + 2\right)}^{\frac{5}{2}}}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((e*x + 2)^(5/2)/(-3*e^2*x^2 + 12)^(1/4), x)","F",0
938,0,0,0,0.000000," ","integrate((e*x+2)^(3/2)/(-3*e^2*x^2+12)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(e x + 2\right)}^{\frac{3}{2}}}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((e*x + 2)^(3/2)/(-3*e^2*x^2 + 12)^(1/4), x)","F",0
939,0,0,0,0.000000," ","integrate((e*x+2)^(1/2)/(-3*e^2*x^2+12)^(1/4),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + 2}}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(sqrt(e*x + 2)/(-3*e^2*x^2 + 12)^(1/4), x)","F",0
940,0,0,0,0.000000," ","integrate(1/(e*x+2)^(1/2)/(-3*e^2*x^2+12)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}} \sqrt{e x + 2}}\,{d x}"," ",0,"integrate(1/((-3*e^2*x^2 + 12)^(1/4)*sqrt(e*x + 2)), x)","F",0
941,0,0,0,0.000000," ","integrate(1/(e*x+2)^(3/2)/(-3*e^2*x^2+12)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}} {\left(e x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((-3*e^2*x^2 + 12)^(1/4)*(e*x + 2)^(3/2)), x)","F",0
942,0,0,0,0.000000," ","integrate(1/(e*x+2)^(5/2)/(-3*e^2*x^2+12)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}} {\left(e x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((-3*e^2*x^2 + 12)^(1/4)*(e*x + 2)^(5/2)), x)","F",0
943,0,0,0,0.000000," ","integrate(1/(e*x+2)^(7/2)/(-3*e^2*x^2+12)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}} {\left(e x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((-3*e^2*x^2 + 12)^(1/4)*(e*x + 2)^(7/2)), x)","F",0
944,0,0,0,0.000000," ","integrate(1/(e*x+2)^(9/2)/(-3*e^2*x^2+12)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-3 \, e^{2} x^{2} + 12\right)}^{\frac{1}{4}} {\left(e x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(1/((-3*e^2*x^2 + 12)^(1/4)*(e*x + 2)^(9/2)), x)","F",0
945,1,468,0,1.562941," ","integrate((b*x+a)^m*(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{m + 1} a^{6}}{b {\left(m + 1\right)}} - \frac{3 \, {\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} x^{3} + {\left(m^{2} + m\right)} a b^{2} x^{2} - 2 \, a^{2} b m x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{m} a^{4}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b} + \frac{3 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a b^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{2} b^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b m x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{m} a^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} b} - \frac{{\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} b^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} a b^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} a^{2} b^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a^{3} b^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{4} b^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} a^{5} b^{2} x^{2} - 720 \, a^{6} b m x + 720 \, a^{7}\right)} {\left(b x + a\right)}^{m}}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} b}"," ",0,"(b*x + a)^(m + 1)*a^6/(b*(m + 1)) - 3*((m^2 + 3*m + 2)*b^3*x^3 + (m^2 + m)*a*b^2*x^2 - 2*a^2*b*m*x + 2*a^3)*(b*x + a)^m*a^4/((m^3 + 6*m^2 + 11*m + 6)*b) + 3*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*a*b^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*a^2*b^3*x^3 + 12*(m^2 + m)*a^3*b^2*x^2 - 24*a^4*b*m*x + 24*a^5)*(b*x + a)^m*a^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*b) - ((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*b^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*a*b^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*a^2*b^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*a^3*b^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*a^4*b^3*x^3 + 360*(m^2 + m)*a^5*b^2*x^2 - 720*a^6*b*m*x + 720*a^7)*(b*x + a)^m/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*b)","B",0
946,1,233,0,1.495575," ","integrate((b*x+a)^m*(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{m + 1} a^{4}}{b {\left(m + 1\right)}} - \frac{2 \, {\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} x^{3} + {\left(m^{2} + m\right)} a b^{2} x^{2} - 2 \, a^{2} b m x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{m} a^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a b^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{2} b^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b m x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{m}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} b}"," ",0,"(b*x + a)^(m + 1)*a^4/(b*(m + 1)) - 2*((m^2 + 3*m + 2)*b^3*x^3 + (m^2 + m)*a*b^2*x^2 - 2*a^2*b*m*x + 2*a^3)*(b*x + a)^m*a^2/((m^3 + 6*m^2 + 11*m + 6)*b) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*a*b^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*a^2*b^3*x^3 + 12*(m^2 + m)*a^3*b^2*x^2 - 24*a^4*b*m*x + 24*a^5)*(b*x + a)^m/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*b)","B",0
947,1,91,0,1.346190," ","integrate((b*x+a)^m*(-b^2*x^2+a^2),x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{m + 1} a^{2}}{b {\left(m + 1\right)}} - \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} x^{3} + {\left(m^{2} + m\right)} a b^{2} x^{2} - 2 \, a^{2} b m x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{m}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b}"," ",0,"(b*x + a)^(m + 1)*a^2/(b*(m + 1)) - ((m^2 + 3*m + 2)*b^3*x^3 + (m^2 + m)*a*b^2*x^2 - 2*a^2*b*m*x + 2*a^3)*(b*x + a)^m/((m^3 + 6*m^2 + 11*m + 6)*b)","B",0
948,0,0,0,0.000000," ","integrate((b*x+a)^m/(-b^2*x^2+a^2),x, algorithm=""maxima"")","-\int \frac{{\left(b x + a\right)}^{m}}{b^{2} x^{2} - a^{2}}\,{d x}"," ",0,"-integrate((b*x + a)^m/(b^2*x^2 - a^2), x)","F",0
949,0,0,0,0.000000," ","integrate((b*x+a)^m/(-b^2*x^2+a^2)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(b^{2} x^{2} - a^{2}\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m/(b^2*x^2 - a^2)^2, x)","F",0
950,0,0,0,0.000000," ","integrate((b*x+a)^m/(-b^2*x^2+a^2)^3,x, algorithm=""maxima"")","-\int \frac{{\left(b x + a\right)}^{m}}{{\left(b^{2} x^{2} - a^{2}\right)}^{3}}\,{d x}"," ",0,"-integrate((b*x + a)^m/(b^2*x^2 - a^2)^3, x)","F",0
951,0,0,0,0.000000," ","integrate((e*x+d)^m*(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(7/2)*(e*x + d)^m, x)","F",0
952,0,0,0,0.000000," ","integrate((e*x+d)^m*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)*(e*x + d)^m, x)","F",0
953,0,0,0,0.000000," ","integrate((e*x+d)^m*(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\int {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(3/2)*(e*x + d)^m, x)","F",0
954,0,0,0,0.000000," ","integrate((e*x+d)^m*(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-e^{2} x^{2} + d^{2}} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)*(e*x + d)^m, x)","F",0
955,0,0,0,0.000000," ","integrate((e*x+d)^m/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{\sqrt{-e^{2} x^{2} + d^{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/sqrt(-e^2*x^2 + d^2), x)","F",0
956,0,0,0,0.000000," ","integrate((e*x+d)^m/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/(-e^2*x^2 + d^2)^(3/2), x)","F",0
957,0,0,0,0.000000," ","integrate((e*x+d)^m/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/(-e^2*x^2 + d^2)^(5/2), x)","F",0
958,0,0,0,0.000000," ","integrate((e*x+d)^m/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/(-e^2*x^2 + d^2)^(7/2), x)","F",0
959,0,0,0,0.000000," ","integrate((b*x+a)^m*(-b^2*x^2+a^2)^p,x, algorithm=""maxima"")","\int {\left(-b^{2} x^{2} + a^{2}\right)}^{p} {\left(b x + a\right)}^{m}\,{d x}"," ",0,"integrate((-b^2*x^2 + a^2)^p*(b*x + a)^m, x)","F",0
960,0,0,0,0.000000," ","integrate((e*x+d)^3*(1-e^2*x^2/d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(-\frac{e^{2} x^{2}}{d^{2}} + 1\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^3*(-e^2*x^2/d^2 + 1)^p, x)","F",0
961,0,0,0,0.000000," ","integrate((e*x+d)^2*(1-e^2*x^2/d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(-\frac{e^{2} x^{2}}{d^{2}} + 1\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^2*(-e^2*x^2/d^2 + 1)^p, x)","F",0
962,0,0,0,0.000000," ","integrate((e*x+d)*(1-e^2*x^2/d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(-\frac{e^{2} x^{2}}{d^{2}} + 1\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)*(-e^2*x^2/d^2 + 1)^p, x)","F",0
963,0,0,0,0.000000," ","integrate((1-e^2*x^2/d^2)^p,x, algorithm=""maxima"")","\int {\left(-\frac{e^{2} x^{2}}{d^{2}} + 1\right)}^{p}\,{d x}"," ",0,"integrate((-e^2*x^2/d^2 + 1)^p, x)","F",0
964,0,0,0,0.000000," ","integrate((1-e^2*x^2/d^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-\frac{e^{2} x^{2}}{d^{2}} + 1\right)}^{p}}{e x + d}\,{d x}"," ",0,"integrate((-e^2*x^2/d^2 + 1)^p/(e*x + d), x)","F",0
965,0,0,0,0.000000," ","integrate((1-e^2*x^2/d^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-\frac{e^{2} x^{2}}{d^{2}} + 1\right)}^{p}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2/d^2 + 1)^p/(e*x + d)^2, x)","F",0
966,0,0,0,0.000000," ","integrate((1-e^2*x^2/d^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-\frac{e^{2} x^{2}}{d^{2}} + 1\right)}^{p}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2/d^2 + 1)^p/(e*x + d)^3, x)","F",0
967,0,0,0,0.000000," ","integrate((b*x+a)^3*(-b^2*x^2+a^2)^p,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{3} {\left(-b^{2} x^{2} + a^{2}\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^3*(-b^2*x^2 + a^2)^p, x)","F",0
968,0,0,0,0.000000," ","integrate((b*x+a)^2*(-b^2*x^2+a^2)^p,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{2} {\left(-b^{2} x^{2} + a^{2}\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^2*(-b^2*x^2 + a^2)^p, x)","F",0
969,0,0,0,0.000000," ","integrate((b*x+a)*(-b^2*x^2+a^2)^p,x, algorithm=""maxima"")","\int {\left(b x + a\right)} {\left(-b^{2} x^{2} + a^{2}\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)*(-b^2*x^2 + a^2)^p, x)","F",0
970,0,0,0,0.000000," ","integrate((-b^2*x^2+a^2)^p/(b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{p}}{b x + a}\,{d x}"," ",0,"integrate((-b^2*x^2 + a^2)^p/(b*x + a), x)","F",0
971,0,0,0,0.000000," ","integrate((-b^2*x^2+a^2)^p/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{p}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((-b^2*x^2 + a^2)^p/(b*x + a)^2, x)","F",0
972,0,0,0,0.000000," ","integrate((-b^2*x^2+a^2)^p/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{p}}{{\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((-b^2*x^2 + a^2)^p/(b*x + a)^3, x)","F",0
973,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(-b^2*x^2+a^2)^p,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(-b^{2} x^{2} + a^{2}\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(-b^2*x^2 + a^2)^p, x)","F",0
974,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(-b^2*x^2+a^2)^p,x, algorithm=""maxima"")","\int \sqrt{b x + a} {\left(-b^{2} x^{2} + a^{2}\right)}^{p}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(-b^2*x^2 + a^2)^p, x)","F",0
975,0,0,0,0.000000," ","integrate((-b^2*x^2+a^2)^p/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{p}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((-b^2*x^2 + a^2)^p/sqrt(b*x + a), x)","F",0
976,0,0,0,0.000000," ","integrate((-b^2*x^2+a^2)^p/(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(-b^{2} x^{2} + a^{2}\right)}^{p}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-b^2*x^2 + a^2)^p/(b*x + a)^(3/2), x)","F",0
977,1,42,0,1.869188," ","integrate(-a*(-b^2*x^2+a^2)^p+(b*x+a)*(-b^2*x^2+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} - a^{2}\right)} e^{\left(p \log\left(b x + a\right) + p \log\left(-b x + a\right)\right)}}{2 \, b {\left(p + 1\right)}}"," ",0,"1/2*(b^2*x^2 - a^2)*e^(p*log(b*x + a) + p*log(-b*x + a))/(b*(p + 1))","A",0
978,1,47,0,1.275510," ","integrate((e*x+d)^2*(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","\frac{1}{5} \, c e^{4} x^{5} + c d e^{3} x^{4} + 2 \, c d^{2} e^{2} x^{3} + 2 \, c d^{3} e x^{2} + c d^{4} x"," ",0,"1/5*c*e^4*x^5 + c*d*e^3*x^4 + 2*c*d^2*e^2*x^3 + 2*c*d^3*e*x^2 + c*d^4*x","B",0
979,1,30,0,1.330309," ","integrate((e*x+d)*(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{2}}{4 \, c e}"," ",0,"1/4*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^2/(c*e)","B",0
980,1,23,0,1.267151," ","integrate(c*e^2*x^2+2*c*d*e*x+c*d^2,x, algorithm=""maxima"")","\frac{1}{3} \, c e^{2} x^{3} + c d e x^{2} + c d^{2} x"," ",0,"1/3*c*e^2*x^3 + c*d*e*x^2 + c*d^2*x","A",0
981,1,12,0,1.328776," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)/(e*x+d),x, algorithm=""maxima"")","\frac{1}{2} \, c e x^{2} + c d x"," ",0,"1/2*c*e*x^2 + c*d*x","A",0
982,1,3,0,1.370455," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)/(e*x+d)^2,x, algorithm=""maxima"")","c x"," ",0,"c*x","A",0
983,1,11,0,1.336966," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{c \log\left(e x + d\right)}{e}"," ",0,"c*log(e*x + d)/e","A",0
984,1,14,0,1.345264," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{c}{e^{2} x + d e}"," ",0,"-c/(e^2*x + d*e)","A",0
985,1,25,0,1.316781," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{c}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}}"," ",0,"-1/2*c/(e^3*x^2 + 2*d*e^2*x + d^2*e)","A",0
986,1,36,0,1.325815," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{c}{3 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}}"," ",0,"-1/3*c/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e)","B",0
987,1,85,0,1.304064," ","integrate((e*x+d)^2*(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{1}{7} \, c^{2} e^{6} x^{7} + c^{2} d e^{5} x^{6} + 3 \, c^{2} d^{2} e^{4} x^{5} + 5 \, c^{2} d^{3} e^{3} x^{4} + 5 \, c^{2} d^{4} e^{2} x^{3} + 3 \, c^{2} d^{5} e x^{2} + c^{2} d^{6} x"," ",0,"1/7*c^2*e^6*x^7 + c^2*d*e^5*x^6 + 3*c^2*d^2*e^4*x^5 + 5*c^2*d^3*e^3*x^4 + 5*c^2*d^4*e^2*x^3 + 3*c^2*d^5*e*x^2 + c^2*d^6*x","B",0
988,1,30,0,1.359352," ","integrate((e*x+d)*(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{3}}{6 \, c e}"," ",0,"1/6*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^3/(c*e)","A",0
989,1,68,0,1.346550," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{1}{5} \, c^{2} e^{4} x^{5} + c^{2} d e^{3} x^{4} + \frac{4}{3} \, c^{2} d^{2} e^{2} x^{3} + c^{2} d^{4} x + \frac{2}{3} \, {\left(c e^{2} x^{3} + 3 \, c d e x^{2}\right)} c d^{2}"," ",0,"1/5*c^2*e^4*x^5 + c^2*d*e^3*x^4 + 4/3*c^2*d^2*e^2*x^3 + c^2*d^4*x + 2/3*(c*e^2*x^3 + 3*c*d*e*x^2)*c*d^2","B",0
990,1,43,0,1.336498," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^2/(e*x+d),x, algorithm=""maxima"")","\frac{1}{4} \, c^{2} e^{3} x^{4} + c^{2} d e^{2} x^{3} + \frac{3}{2} \, c^{2} d^{2} e x^{2} + c^{2} d^{3} x"," ",0,"1/4*c^2*e^3*x^4 + c^2*d*e^2*x^3 + 3/2*c^2*d^2*e*x^2 + c^2*d^3*x","B",0
991,1,29,0,1.359344," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^2/(e*x+d)^2,x, algorithm=""maxima"")","\frac{1}{3} \, c^{2} e^{2} x^{3} + c^{2} d e x^{2} + c^{2} d^{2} x"," ",0,"1/3*c^2*e^2*x^3 + c^2*d*e*x^2 + c^2*d^2*x","A",0
992,1,16,0,1.323616," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^2/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{2} \, c^{2} e x^{2} + c^{2} d x"," ",0,"1/2*c^2*e*x^2 + c^2*d*x","A",0
993,1,5,0,1.347153," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^2/(e*x+d)^4,x, algorithm=""maxima"")","c^{2} x"," ",0,"c^2*x","A",0
994,1,13,0,1.325211," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^2/(e*x+d)^5,x, algorithm=""maxima"")","\frac{c^{2} \log\left(e x + d\right)}{e}"," ",0,"c^2*log(e*x + d)/e","A",0
995,1,16,0,1.357054," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^2/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{c^{2}}{e^{2} x + d e}"," ",0,"-c^2/(e^2*x + d*e)","A",0
996,1,27,0,1.375510," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{c^{2}}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}}"," ",0,"-1/2*c^2/(e^3*x^2 + 2*d*e^2*x + d^2*e)","A",0
997,1,38,0,1.321416," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{c^{2}}{3 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}}"," ",0,"-1/3*c^2/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e)","B",0
998,1,37,0,1.314756," ","integrate((e*x+d)^5/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","\frac{e^{3} x^{4} + 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} + 4 \, d^{3} x}{4 \, c}"," ",0,"1/4*(e^3*x^4 + 4*d*e^2*x^3 + 6*d^2*e*x^2 + 4*d^3*x)/c","B",0
999,1,26,0,1.264207," ","integrate((e*x+d)^4/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","\frac{e^{2} x^{3} + 3 \, d e x^{2} + 3 \, d^{2} x}{3 \, c}"," ",0,"1/3*(e^2*x^3 + 3*d*e*x^2 + 3*d^2*x)/c","A",0
1000,1,15,0,1.429529," ","integrate((e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","\frac{e x^{2} + 2 \, d x}{2 \, c}"," ",0,"1/2*(e*x^2 + 2*d*x)/c","A",0
1001,1,5,0,1.340748," ","integrate((e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","\frac{x}{c}"," ",0,"x/c","A",0
1002,1,29,0,1.326006," ","integrate((e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","\frac{\log\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}{2 \, c e}"," ",0,"1/2*log(c*e^2*x^2 + 2*c*d*e*x + c*d^2)/(c*e)","B",0
1003,1,15,0,1.334535," ","integrate(1/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","-\frac{1}{c e^{2} x + c d e}"," ",0,"-1/(c*e^2*x + c*d*e)","A",0
1004,1,27,0,1.346922," ","integrate(1/(e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(c e^{3} x^{2} + 2 \, c d e^{2} x + c d^{2} e\right)}}"," ",0,"-1/2/(c*e^3*x^2 + 2*c*d*e^2*x + c*d^2*e)","A",0
1005,1,39,0,1.350884," ","integrate(1/(e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(c e^{4} x^{3} + 3 \, c d e^{3} x^{2} + 3 \, c d^{2} e^{2} x + c d^{3} e\right)}}"," ",0,"-1/3/(c*e^4*x^3 + 3*c*d*e^3*x^2 + 3*c*d^2*e^2*x + c*d^3*e)","B",0
1006,1,51,0,1.366824," ","integrate(1/(e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(c e^{5} x^{4} + 4 \, c d e^{4} x^{3} + 6 \, c d^{2} e^{3} x^{2} + 4 \, c d^{3} e^{2} x + c d^{4} e\right)}}"," ",0,"-1/4/(c*e^5*x^4 + 4*c*d*e^4*x^3 + 6*c*d^2*e^3*x^2 + 4*c*d^3*e^2*x + c*d^4*e)","B",0
1007,1,37,0,1.357515," ","integrate((e*x+d)^7/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{e^{3} x^{4} + 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} + 4 \, d^{3} x}{4 \, c^{2}}"," ",0,"1/4*(e^3*x^4 + 4*d*e^2*x^3 + 6*d^2*e*x^2 + 4*d^3*x)/c^2","B",0
1008,1,26,0,1.318119," ","integrate((e*x+d)^6/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{e^{2} x^{3} + 3 \, d e x^{2} + 3 \, d^{2} x}{3 \, c^{2}}"," ",0,"1/3*(e^2*x^3 + 3*d*e*x^2 + 3*d^2*x)/c^2","A",0
1009,1,15,0,1.293100," ","integrate((e*x+d)^5/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{e x^{2} + 2 \, d x}{2 \, c^{2}}"," ",0,"1/2*(e*x^2 + 2*d*x)/c^2","A",0
1010,1,5,0,1.357137," ","integrate((e*x+d)^4/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{x}{c^{2}}"," ",0,"x/c^2","A",0
1011,1,13,0,1.338874," ","integrate((e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{\log\left(e x + d\right)}{c^{2} e}"," ",0,"log(e*x + d)/(c^2*e)","A",0
1012,1,19,0,1.291135," ","integrate((e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","-\frac{1}{c^{2} e^{2} x + c^{2} d e}"," ",0,"-1/(c^2*e^2*x + c^2*d*e)","A",0
1013,1,30,0,1.319969," ","integrate((e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)} c e}"," ",0,"-1/2/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)*c*e)","A",0
1014,1,47,0,1.341482," ","integrate(1/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(c^{2} e^{4} x^{3} + 3 \, c^{2} d e^{3} x^{2} + 3 \, c^{2} d^{2} e^{2} x + c^{2} d^{3} e\right)}}"," ",0,"-1/3/(c^2*e^4*x^3 + 3*c^2*d*e^3*x^2 + 3*c^2*d^2*e^2*x + c^2*d^3*e)","B",0
1015,1,61,0,1.368525," ","integrate(1/(e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(c^{2} e^{5} x^{4} + 4 \, c^{2} d e^{4} x^{3} + 6 \, c^{2} d^{2} e^{3} x^{2} + 4 \, c^{2} d^{3} e^{2} x + c^{2} d^{4} e\right)}}"," ",0,"-1/4/(c^2*e^5*x^4 + 4*c^2*d*e^4*x^3 + 6*c^2*d^2*e^3*x^2 + 4*c^2*d^3*e^2*x + c^2*d^4*e)","B",0
1016,1,75,0,1.398075," ","integrate(1/(e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","-\frac{1}{5 \, {\left(c^{2} e^{6} x^{5} + 5 \, c^{2} d e^{5} x^{4} + 10 \, c^{2} d^{2} e^{4} x^{3} + 10 \, c^{2} d^{3} e^{3} x^{2} + 5 \, c^{2} d^{4} e^{2} x + c^{2} d^{5} e\right)}}"," ",0,"-1/5/(c^2*e^6*x^5 + 5*c^2*d*e^5*x^4 + 10*c^2*d^2*e^4*x^3 + 10*c^2*d^3*e^3*x^2 + 5*c^2*d^4*e^2*x + c^2*d^5*e)","B",0
1017,1,37,0,1.361132," ","integrate((e*x+d)^9/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","\frac{e^{3} x^{4} + 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} + 4 \, d^{3} x}{4 \, c^{3}}"," ",0,"1/4*(e^3*x^4 + 4*d*e^2*x^3 + 6*d^2*e*x^2 + 4*d^3*x)/c^3","B",0
1018,1,26,0,1.322933," ","integrate((e*x+d)^8/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","\frac{e^{2} x^{3} + 3 \, d e x^{2} + 3 \, d^{2} x}{3 \, c^{3}}"," ",0,"1/3*(e^2*x^3 + 3*d*e*x^2 + 3*d^2*x)/c^3","A",0
1019,1,15,0,1.362255," ","integrate((e*x+d)^7/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","\frac{e x^{2} + 2 \, d x}{2 \, c^{3}}"," ",0,"1/2*(e*x^2 + 2*d*x)/c^3","A",0
1020,1,5,0,1.313949," ","integrate((e*x+d)^6/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","\frac{x}{c^{3}}"," ",0,"x/c^3","A",0
1021,1,13,0,1.360807," ","integrate((e*x+d)^5/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","\frac{\log\left(e x + d\right)}{c^{3} e}"," ",0,"log(e*x + d)/(c^3*e)","A",0
1022,1,19,0,1.400316," ","integrate((e*x+d)^4/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","-\frac{1}{c^{3} e^{2} x + c^{3} d e}"," ",0,"-1/(c^3*e^2*x + c^3*d*e)","A",0
1023,1,33,0,1.373805," ","integrate((e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(c^{3} e^{3} x^{2} + 2 \, c^{3} d e^{2} x + c^{3} d^{2} e\right)}}"," ",0,"-1/2/(c^3*e^3*x^2 + 2*c^3*d*e^2*x + c^3*d^2*e)","B",0
1024,1,47,0,1.375954," ","integrate((e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(c^{3} e^{4} x^{3} + 3 \, c^{3} d e^{3} x^{2} + 3 \, c^{3} d^{2} e^{2} x + c^{3} d^{3} e\right)}}"," ",0,"-1/3/(c^3*e^4*x^3 + 3*c^3*d*e^3*x^2 + 3*c^3*d^2*e^2*x + c^3*d^3*e)","B",0
1025,1,30,0,1.396790," ","integrate((e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{2} c e}"," ",0,"-1/4/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^2*c*e)","A",0
1026,1,75,0,1.375349," ","integrate(1/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","-\frac{1}{5 \, {\left(c^{3} e^{6} x^{5} + 5 \, c^{3} d e^{5} x^{4} + 10 \, c^{3} d^{2} e^{4} x^{3} + 10 \, c^{3} d^{3} e^{3} x^{2} + 5 \, c^{3} d^{4} e^{2} x + c^{3} d^{5} e\right)}}"," ",0,"-1/5/(c^3*e^6*x^5 + 5*c^3*d*e^5*x^4 + 10*c^3*d^2*e^4*x^3 + 10*c^3*d^3*e^3*x^2 + 5*c^3*d^4*e^2*x + c^3*d^5*e)","B",0
1027,1,89,0,1.380839," ","integrate(1/(e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","-\frac{1}{6 \, {\left(c^{3} e^{7} x^{6} + 6 \, c^{3} d e^{6} x^{5} + 15 \, c^{3} d^{2} e^{5} x^{4} + 20 \, c^{3} d^{3} e^{4} x^{3} + 15 \, c^{3} d^{4} e^{3} x^{2} + 6 \, c^{3} d^{5} e^{2} x + c^{3} d^{6} e\right)}}"," ",0,"-1/6/(c^3*e^7*x^6 + 6*c^3*d*e^6*x^5 + 15*c^3*d^2*e^5*x^4 + 20*c^3*d^3*e^4*x^3 + 15*c^3*d^4*e^3*x^2 + 6*c^3*d^5*e^2*x + c^3*d^6*e)","B",0
1028,1,103,0,1.411036," ","integrate(1/(e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(c^{3} e^{8} x^{7} + 7 \, c^{3} d e^{7} x^{6} + 21 \, c^{3} d^{2} e^{6} x^{5} + 35 \, c^{3} d^{3} e^{5} x^{4} + 35 \, c^{3} d^{4} e^{4} x^{3} + 21 \, c^{3} d^{5} e^{3} x^{2} + 7 \, c^{3} d^{6} e^{2} x + c^{3} d^{7} e\right)}}"," ",0,"-1/7/(c^3*e^8*x^7 + 7*c^3*d*e^7*x^6 + 21*c^3*d^2*e^6*x^5 + 35*c^3*d^3*e^5*x^4 + 35*c^3*d^4*e^4*x^3 + 21*c^3*d^5*e^3*x^2 + 7*c^3*d^6*e^2*x + c^3*d^7*e)","B",0
1029,1,94,0,1.477454," ","integrate((e*x+d)^3*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} e x^{2}}{5 \, c} + \frac{2 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} d x}{5 \, c} + \frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} d^{2}}{5 \, c e}"," ",0,"1/5*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*e*x^2/c + 2/5*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*d*x/c + 1/5*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*d^2/(c*e)","B",0
1030,1,60,0,1.371562," ","integrate((e*x+d)^2*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} x}{4 \, c} + \frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} d}{4 \, c e}"," ",0,"1/4*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*x/c + 1/4*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*d/(c*e)","A",0
1031,1,30,0,1.390557," ","integrate((e*x+d)*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}}}{3 \, c e}"," ",0,"1/3*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)/(c*e)","A",0
1032,1,54,0,1.324044," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} x + \frac{\sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} d}{2 \, e}"," ",0,"1/2*sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*x + 1/2*sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*d/e","A",0
1033,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1034,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1035,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1036,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1037,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1038,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1039,1,94,0,1.501803," ","integrate((e*x+d)^3*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}} e x^{2}}{7 \, c} + \frac{2 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}} d x}{7 \, c} + \frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}} d^{2}}{7 \, c e}"," ",0,"1/7*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)*e*x^2/c + 2/7*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)*d*x/c + 1/7*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)*d^2/(c*e)","B",0
1040,1,60,0,1.522875," ","integrate((e*x+d)^2*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}} x}{6 \, c} + \frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}} d}{6 \, c e}"," ",0,"1/6*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)*x/c + 1/6*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)*d/(c*e)","A",0
1041,1,30,0,1.414032," ","integrate((e*x+d)*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}}}{5 \, c e}"," ",0,"1/5*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)/(c*e)","A",0
1042,1,54,0,1.396875," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} x + \frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} d}{4 \, e}"," ",0,"1/4*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*x + 1/4*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*d/e","A",0
1043,1,27,0,1.340096," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2)/(e*x+d),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}}}{3 \, e}"," ",0,"1/3*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)/e","A",0
1044,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1045,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1046,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1047,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1048,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1049,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2)/(e*x+d)^7,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1050,1,94,0,1.494397," ","integrate((e*x+d)^3*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{7}{2}} e x^{2}}{9 \, c} + \frac{2 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{7}{2}} d x}{9 \, c} + \frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{7}{2}} d^{2}}{9 \, c e}"," ",0,"1/9*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(7/2)*e*x^2/c + 2/9*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(7/2)*d*x/c + 1/9*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(7/2)*d^2/(c*e)","B",0
1051,1,60,0,1.477149," ","integrate((e*x+d)^2*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{7}{2}} x}{8 \, c} + \frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{7}{2}} d}{8 \, c e}"," ",0,"1/8*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(7/2)*x/c + 1/8*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(7/2)*d/(c*e)","A",0
1052,1,30,0,1.407570," ","integrate((e*x+d)*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{7}{2}}}{7 \, c e}"," ",0,"1/7*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(7/2)/(c*e)","A",0
1053,1,54,0,1.366039," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}} x + \frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}} d}{6 \, e}"," ",0,"1/6*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)*x + 1/6*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)*d/e","A",0
1054,1,27,0,1.344974," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}}}{5 \, e}"," ",0,"1/5*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)/e","A",0
1055,1,35,0,1.451718," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{5}{2}}}{4 \, {\left(e^{2} x + d e\right)}}"," ",0,"1/4*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(5/2)/(e^2*x + d*e)","A",0
1056,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1057,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1058,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1059,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1060,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2)/(e*x+d)^7,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1061,-2,0,0,0.000000," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2)/(e*x+d)^8,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
1062,1,120,0,1.493750," ","integrate((e*x+d)^4/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{3 \, d^{2} e x^{2}}{4 \, \sqrt{c}} + \frac{\sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} e^{2} x^{3}}{4 \, c} - \frac{3 \, d^{3} x}{2 \, \sqrt{c}} + \frac{3 \, \sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} d e x^{2}}{4 \, c} + \frac{5 \, \sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} d^{3}}{2 \, c e}"," ",0,"3/4*d^2*e*x^2/sqrt(c) + 1/4*sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*e^2*x^3/c - 3/2*d^3*x/sqrt(c) + 3/4*sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*d*e*x^2/c + 5/2*sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*d^3/(c*e)","B",0
1063,1,84,0,1.493437," ","integrate((e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, d e x^{2}}{3 \, \sqrt{c}} - \frac{4 \, d^{2} x}{3 \, \sqrt{c}} + \frac{\sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} e x^{2}}{3 \, c} + \frac{7 \, \sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} d^{2}}{3 \, c e}"," ",0,"2/3*d*e*x^2/sqrt(c) - 4/3*d^2*x/sqrt(c) + 1/3*sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*e*x^2/c + 7/3*sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*d^2/(c*e)","B",0
1064,1,48,0,1.362984," ","integrate((e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{e x^{2}}{2 \, \sqrt{c}} - \frac{d x}{\sqrt{c}} + \frac{2 \, \sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} d}{c e}"," ",0,"1/2*e*x^2/sqrt(c) - d*x/sqrt(c) + 2*sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*d/(c*e)","A",0
1065,1,29,0,1.382236," ","integrate((e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}}}{c e}"," ",0,"sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)/(c*e)","A",0
1066,1,15,0,1.352403," ","integrate(1/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(x + \frac{d}{e}\right)}{\sqrt{c} e}"," ",0,"log(x + d/e)/(sqrt(c)*e)","A",0
1067,1,19,0,1.291650," ","integrate(1/(e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{\sqrt{c} e^{2} x + \sqrt{c} d e}"," ",0,"-1/(sqrt(c)*e^2*x + sqrt(c)*d*e)","A",0
1068,1,33,0,1.446822," ","integrate(1/(e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(\sqrt{c} e^{3} x^{2} + 2 \, \sqrt{c} d e^{2} x + \sqrt{c} d^{2} e\right)}}"," ",0,"-1/2/(sqrt(c)*e^3*x^2 + 2*sqrt(c)*d*e^2*x + sqrt(c)*d^2*e)","A",0
1069,1,47,0,1.349356," ","integrate(1/(e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(\sqrt{c} e^{4} x^{3} + 3 \, \sqrt{c} d e^{3} x^{2} + 3 \, \sqrt{c} d^{2} e^{2} x + \sqrt{c} d^{3} e\right)}}"," ",0,"-1/3/(sqrt(c)*e^4*x^3 + 3*sqrt(c)*d*e^3*x^2 + 3*sqrt(c)*d^2*e^2*x + sqrt(c)*d^3*e)","A",0
1070,1,61,0,1.416473," ","integrate(1/(e*x+d)^4/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(\sqrt{c} e^{5} x^{4} + 4 \, \sqrt{c} d e^{4} x^{3} + 6 \, \sqrt{c} d^{2} e^{3} x^{2} + 4 \, \sqrt{c} d^{3} e^{2} x + \sqrt{c} d^{4} e\right)}}"," ",0,"-1/4/(sqrt(c)*e^5*x^4 + 4*sqrt(c)*d*e^4*x^3 + 6*sqrt(c)*d^2*e^3*x^2 + 4*sqrt(c)*d^3*e^2*x + sqrt(c)*d^4*e)","A",0
1071,1,99,0,1.502279," ","integrate((e*x+d)^4/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{2} x^{3}}{2 \, \sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} c} + \frac{3 \, d e x^{2}}{2 \, \sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} c} - \frac{d^{3}}{\sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} c e}"," ",0,"1/2*e^2*x^3/(sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*c) + 3/2*d*e*x^2/(sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*c) - d^3/(sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*c*e)","B",0
1072,1,64,0,1.450717," ","integrate((e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{e x^{2}}{\sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} c} - \frac{d^{2}}{\sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} c e}"," ",0,"e*x^2/(sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*c) - d^2/(sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*c*e)","B",0
1073,1,86,0,1.340865," ","integrate((e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, d}{\sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} c e} + \frac{\log\left(x + \frac{d}{e}\right)}{c^{\frac{3}{2}} e} + \frac{2 \, d x}{c^{\frac{3}{2}} e^{2} {\left(x + \frac{d}{e}\right)}^{2}} + \frac{2 \, d^{2}}{c^{\frac{3}{2}} e^{3} {\left(x + \frac{d}{e}\right)}^{2}}"," ",0,"-2*d/(sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*c*e) + log(x + d/e)/(c^(3/2)*e) + 2*d*x/(c^(3/2)*e^2*(x + d/e)^2) + 2*d^2/(c^(3/2)*e^3*(x + d/e)^2)","B",0
1074,1,30,0,1.325708," ","integrate((e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{\sqrt{c e^{2} x^{2} + 2 \, c d e x + c d^{2}} c e}"," ",0,"-1/(sqrt(c*e^2*x^2 + 2*c*d*e*x + c*d^2)*c*e)","A",0
1075,1,17,0,1.386373," ","integrate(1/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2 \, c^{\frac{3}{2}} e^{3} {\left(x + \frac{d}{e}\right)}^{2}}"," ",0,"-1/2/(c^(3/2)*e^3*(x + d/e)^2)","A",0
1076,1,47,0,1.404185," ","integrate(1/(e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(c^{\frac{3}{2}} e^{4} x^{3} + 3 \, c^{\frac{3}{2}} d e^{3} x^{2} + 3 \, c^{\frac{3}{2}} d^{2} e^{2} x + c^{\frac{3}{2}} d^{3} e\right)}}"," ",0,"-1/3/(c^(3/2)*e^4*x^3 + 3*c^(3/2)*d*e^3*x^2 + 3*c^(3/2)*d^2*e^2*x + c^(3/2)*d^3*e)","A",0
1077,1,61,0,1.357239," ","integrate(1/(e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(c^{\frac{3}{2}} e^{5} x^{4} + 4 \, c^{\frac{3}{2}} d e^{4} x^{3} + 6 \, c^{\frac{3}{2}} d^{2} e^{3} x^{2} + 4 \, c^{\frac{3}{2}} d^{3} e^{2} x + c^{\frac{3}{2}} d^{4} e\right)}}"," ",0,"-1/4/(c^(3/2)*e^5*x^4 + 4*c^(3/2)*d*e^4*x^3 + 6*c^(3/2)*d^2*e^3*x^2 + 4*c^(3/2)*d^3*e^2*x + c^(3/2)*d^4*e)","A",0
1078,1,75,0,1.437811," ","integrate(1/(e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{5 \, {\left(c^{\frac{3}{2}} e^{6} x^{5} + 5 \, c^{\frac{3}{2}} d e^{5} x^{4} + 10 \, c^{\frac{3}{2}} d^{2} e^{4} x^{3} + 10 \, c^{\frac{3}{2}} d^{3} e^{3} x^{2} + 5 \, c^{\frac{3}{2}} d^{4} e^{2} x + c^{\frac{3}{2}} d^{5} e\right)}}"," ",0,"-1/5/(c^(3/2)*e^6*x^5 + 5*c^(3/2)*d*e^5*x^4 + 10*c^(3/2)*d^2*e^4*x^3 + 10*c^(3/2)*d^3*e^3*x^2 + 5*c^(3/2)*d^4*e^2*x + c^(3/2)*d^5*e)","B",0
1079,1,175,0,1.725791," ","integrate((e*x+d)^6/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{e^{4} x^{5}}{2 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c} + \frac{5 \, d e^{3} x^{4}}{2 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c} - \frac{10 \, d^{3} e x^{2}}{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c} - \frac{26 \, d^{5}}{3 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c e} - \frac{25 \, d^{4}}{2 \, c^{\frac{5}{2}} e^{3} {\left(x + \frac{d}{e}\right)}^{2}} + \frac{50 \, d^{5}}{3 \, c^{\frac{5}{2}} e^{4} {\left(x + \frac{d}{e}\right)}^{3}}"," ",0,"1/2*e^4*x^5/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c) + 5/2*d*e^3*x^4/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c) - 10*d^3*e*x^2/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c) - 26/3*d^5/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c*e) - 25/2*d^4/(c^(5/2)*e^3*(x + d/e)^2) + 50/3*d^5/(c^(5/2)*e^4*(x + d/e)^3)","B",0
1080,1,140,0,1.554994," ","integrate((e*x+d)^5/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{e^{3} x^{4}}{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c} - \frac{6 \, d^{2} e x^{2}}{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c} - \frac{17 \, d^{4}}{3 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c e} - \frac{8 \, d^{3}}{c^{\frac{5}{2}} e^{3} {\left(x + \frac{d}{e}\right)}^{2}} + \frac{32 \, d^{4}}{3 \, c^{\frac{5}{2}} e^{4} {\left(x + \frac{d}{e}\right)}^{3}}"," ",0,"e^3*x^4/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c) - 6*d^2*e*x^2/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c) - 17/3*d^4/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c*e) - 8*d^3/(c^(5/2)*e^3*(x + d/e)^2) + 32/3*d^4/(c^(5/2)*e^4*(x + d/e)^3)","B",0
1081,1,398,0,1.901258," ","integrate((e*x+d)^4/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{12} \, e^{4} {\left(\frac{48 \, \sqrt{c} d e^{3} x^{3} + 108 \, \sqrt{c} d^{2} e^{2} x^{2} + 88 \, \sqrt{c} d^{3} e x + 25 \, \sqrt{c} d^{4}}{c^{3} e^{9} x^{4} + 4 \, c^{3} d e^{8} x^{3} + 6 \, c^{3} d^{2} e^{7} x^{2} + 4 \, c^{3} d^{3} e^{6} x + c^{3} d^{4} e^{5}} + \frac{12 \, \log\left(e x + d\right)}{c^{\frac{5}{2}} e^{5}}\right)} - \frac{1}{3} \, d e^{3} {\left(\frac{12 \, x^{2}}{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c e^{2}} + \frac{8 \, d^{2}}{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c e^{4}} + \frac{6 \, d}{c^{\frac{5}{2}} e^{6} {\left(x + \frac{d}{e}\right)}^{2}} - \frac{8 \, d^{2}}{c^{\frac{5}{2}} e^{7} {\left(x + \frac{d}{e}\right)}^{3}} - \frac{3 \, d^{3}}{c^{\frac{5}{2}} e^{8} {\left(x + \frac{d}{e}\right)}^{4}}\right)} - \frac{1}{3} \, d^{3} e {\left(\frac{4}{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c e^{2}} - \frac{3 \, d}{c^{\frac{5}{2}} e^{6} {\left(x + \frac{d}{e}\right)}^{4}}\right)} - \frac{1}{2} \, d^{2} e^{2} {\left(\frac{6}{c^{\frac{5}{2}} e^{5} {\left(x + \frac{d}{e}\right)}^{2}} - \frac{8 \, d}{c^{\frac{5}{2}} e^{6} {\left(x + \frac{d}{e}\right)}^{3}} + \frac{3 \, d^{2}}{c^{\frac{5}{2}} e^{7} {\left(x + \frac{d}{e}\right)}^{4}}\right)} - \frac{d^{4}}{4 \, c^{\frac{5}{2}} e^{5} {\left(x + \frac{d}{e}\right)}^{4}}"," ",0,"1/12*e^4*((48*sqrt(c)*d*e^3*x^3 + 108*sqrt(c)*d^2*e^2*x^2 + 88*sqrt(c)*d^3*e*x + 25*sqrt(c)*d^4)/(c^3*e^9*x^4 + 4*c^3*d*e^8*x^3 + 6*c^3*d^2*e^7*x^2 + 4*c^3*d^3*e^6*x + c^3*d^4*e^5) + 12*log(e*x + d)/(c^(5/2)*e^5)) - 1/3*d*e^3*(12*x^2/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c*e^2) + 8*d^2/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c*e^4) + 6*d/(c^(5/2)*e^6*(x + d/e)^2) - 8*d^2/(c^(5/2)*e^7*(x + d/e)^3) - 3*d^3/(c^(5/2)*e^8*(x + d/e)^4)) - 1/3*d^3*e*(4/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c*e^2) - 3*d/(c^(5/2)*e^6*(x + d/e)^4)) - 1/2*d^2*e^2*(6/(c^(5/2)*e^5*(x + d/e)^2) - 8*d/(c^(5/2)*e^6*(x + d/e)^3) + 3*d^2/(c^(5/2)*e^7*(x + d/e)^4)) - 1/4*d^4/(c^(5/2)*e^5*(x + d/e)^4)","B",0
1082,1,103,0,1.430821," ","integrate((e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","-\frac{e x^{2}}{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c} - \frac{5 \, d^{2}}{3 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c e} - \frac{2 \, d}{c^{\frac{5}{2}} e^{3} {\left(x + \frac{d}{e}\right)}^{2}} + \frac{8 \, d^{2}}{3 \, c^{\frac{5}{2}} e^{4} {\left(x + \frac{d}{e}\right)}^{3}}"," ",0,"-e*x^2/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c) - 5/3*d^2/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c*e) - 2*d/(c^(5/2)*e^3*(x + d/e)^2) + 8/3*d^2/(c^(5/2)*e^4*(x + d/e)^3)","B",0
1083,1,67,0,1.361452," ","integrate((e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, d}{3 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c e} - \frac{1}{2 \, c^{\frac{5}{2}} e^{3} {\left(x + \frac{d}{e}\right)}^{2}} + \frac{2 \, d}{3 \, c^{\frac{5}{2}} e^{4} {\left(x + \frac{d}{e}\right)}^{3}}"," ",0,"-2/3*d/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c*e) - 1/2/(c^(5/2)*e^3*(x + d/e)^2) + 2/3*d/(c^(5/2)*e^4*(x + d/e)^3)","A",0
1084,1,30,0,1.329991," ","integrate((e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{\frac{3}{2}} c e}"," ",0,"-1/3/((c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(3/2)*c*e)","A",0
1085,1,17,0,1.345845," ","integrate(1/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{4 \, c^{\frac{5}{2}} e^{5} {\left(x + \frac{d}{e}\right)}^{4}}"," ",0,"-1/4/(c^(5/2)*e^5*(x + d/e)^4)","A",0
1086,1,75,0,1.311517," ","integrate(1/(e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{5 \, {\left(c^{\frac{5}{2}} e^{6} x^{5} + 5 \, c^{\frac{5}{2}} d e^{5} x^{4} + 10 \, c^{\frac{5}{2}} d^{2} e^{4} x^{3} + 10 \, c^{\frac{5}{2}} d^{3} e^{3} x^{2} + 5 \, c^{\frac{5}{2}} d^{4} e^{2} x + c^{\frac{5}{2}} d^{5} e\right)}}"," ",0,"-1/5/(c^(5/2)*e^6*x^5 + 5*c^(5/2)*d*e^5*x^4 + 10*c^(5/2)*d^2*e^4*x^3 + 10*c^(5/2)*d^3*e^3*x^2 + 5*c^(5/2)*d^4*e^2*x + c^(5/2)*d^5*e)","B",0
1087,1,89,0,1.408320," ","integrate(1/(e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{6 \, {\left(c^{\frac{5}{2}} e^{7} x^{6} + 6 \, c^{\frac{5}{2}} d e^{6} x^{5} + 15 \, c^{\frac{5}{2}} d^{2} e^{5} x^{4} + 20 \, c^{\frac{5}{2}} d^{3} e^{4} x^{3} + 15 \, c^{\frac{5}{2}} d^{4} e^{3} x^{2} + 6 \, c^{\frac{5}{2}} d^{5} e^{2} x + c^{\frac{5}{2}} d^{6} e\right)}}"," ",0,"-1/6/(c^(5/2)*e^7*x^6 + 6*c^(5/2)*d*e^6*x^5 + 15*c^(5/2)*d^2*e^5*x^4 + 20*c^(5/2)*d^3*e^4*x^3 + 15*c^(5/2)*d^4*e^3*x^2 + 6*c^(5/2)*d^5*e^2*x + c^(5/2)*d^6*e)","B",0
1088,1,103,0,1.347691," ","integrate(1/(e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(c^{\frac{5}{2}} e^{8} x^{7} + 7 \, c^{\frac{5}{2}} d e^{7} x^{6} + 21 \, c^{\frac{5}{2}} d^{2} e^{6} x^{5} + 35 \, c^{\frac{5}{2}} d^{3} e^{5} x^{4} + 35 \, c^{\frac{5}{2}} d^{4} e^{4} x^{3} + 21 \, c^{\frac{5}{2}} d^{5} e^{3} x^{2} + 7 \, c^{\frac{5}{2}} d^{6} e^{2} x + c^{\frac{5}{2}} d^{7} e\right)}}"," ",0,"-1/7/(c^(5/2)*e^8*x^7 + 7*c^(5/2)*d*e^7*x^6 + 21*c^(5/2)*d^2*e^6*x^5 + 35*c^(5/2)*d^3*e^5*x^4 + 35*c^(5/2)*d^4*e^4*x^3 + 21*c^(5/2)*d^5*e^3*x^2 + 7*c^(5/2)*d^6*e^2*x + c^(5/2)*d^7*e)","B",0
1089,1,397,0,1.652710," ","integrate((e*x+d)^m*(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{4 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} c^{2} d^{3}}{{\left(m^{2} + 3 \, m + 2\right)} e} + \frac{{\left(e x + d\right)}^{m + 1} c^{2} d^{4}}{e {\left(m + 1\right)}} + \frac{6 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c^{2} d^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e} + \frac{4 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} c^{2} d}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e}"," ",0,"4*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*c^2*d^3/((m^2 + 3*m + 2)*e) + (e*x + d)^(m + 1)*c^2*d^4/(e*(m + 1)) + 6*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c^2*d^2/((m^3 + 6*m^2 + 11*m + 6)*e) + 4*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*c^2*d/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e)","B",0
1090,1,137,0,1.464088," ","integrate((e*x+d)^m*(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","\frac{2 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} c d}{{\left(m^{2} + 3 \, m + 2\right)} e} + \frac{{\left(e x + d\right)}^{m + 1} c d^{2}}{e {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e}"," ",0,"2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*c*d/((m^2 + 3*m + 2)*e) + (e*x + d)^(m + 1)*c*d^2/(e*(m + 1)) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c/((m^3 + 6*m^2 + 11*m + 6)*e)","B",0
1091,1,27,0,1.451223," ","integrate((e*x+d)^m/(c*e^2*x^2+2*c*d*e*x+c*d^2),x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{m}}{c e^{2} {\left(m - 1\right)} x + c d e {\left(m - 1\right)}}"," ",0,"(e*x + d)^m/(c*e^2*(m - 1)*x + c*d*e*(m - 1))","A",0
1092,1,65,0,1.515506," ","integrate((e*x+d)^m/(c*e^2*x^2+2*c*d*e*x+c*d^2)^2,x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{m}}{c^{2} e^{4} {\left(m - 3\right)} x^{3} + 3 \, c^{2} d e^{3} {\left(m - 3\right)} x^{2} + 3 \, c^{2} d^{2} e^{2} {\left(m - 3\right)} x + c^{2} d^{3} e {\left(m - 3\right)}}"," ",0,"(e*x + d)^m/(c^2*e^4*(m - 3)*x^3 + 3*c^2*d*e^3*(m - 3)*x^2 + 3*c^2*d^2*e^2*(m - 3)*x + c^2*d^3*e*(m - 3))","B",0
1093,1,99,0,1.567021," ","integrate((e*x+d)^m/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{m}}{c^{3} e^{6} {\left(m - 5\right)} x^{5} + 5 \, c^{3} d e^{5} {\left(m - 5\right)} x^{4} + 10 \, c^{3} d^{2} e^{4} {\left(m - 5\right)} x^{3} + 10 \, c^{3} d^{3} e^{3} {\left(m - 5\right)} x^{2} + 5 \, c^{3} d^{4} e^{2} {\left(m - 5\right)} x + c^{3} d^{5} e {\left(m - 5\right)}}"," ",0,"(e*x + d)^m/(c^3*e^6*(m - 5)*x^5 + 5*c^3*d*e^5*(m - 5)*x^4 + 10*c^3*d^2*e^4*(m - 5)*x^3 + 10*c^3*d^3*e^3*(m - 5)*x^2 + 5*c^3*d^4*e^2*(m - 5)*x + c^3*d^5*e*(m - 5))","B",0
1094,1,70,0,1.435350," ","integrate((e*x+d)^m*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c^{\frac{3}{2}} e^{4} x^{4} + 4 \, c^{\frac{3}{2}} d e^{3} x^{3} + 6 \, c^{\frac{3}{2}} d^{2} e^{2} x^{2} + 4 \, c^{\frac{3}{2}} d^{3} e x + c^{\frac{3}{2}} d^{4}\right)} {\left(e x + d\right)}^{m}}{e {\left(m + 4\right)}}"," ",0,"(c^(3/2)*e^4*x^4 + 4*c^(3/2)*d*e^3*x^3 + 6*c^(3/2)*d^2*e^2*x^2 + 4*c^(3/2)*d^3*e*x + c^(3/2)*d^4)*(e*x + d)^m/(e*(m + 4))","A",0
1095,1,42,0,1.349533," ","integrate((e*x+d)^m*(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(\sqrt{c} e^{2} x^{2} + 2 \, \sqrt{c} d e x + \sqrt{c} d^{2}\right)} {\left(e x + d\right)}^{m}}{e {\left(m + 2\right)}}"," ",0,"(sqrt(c)*e^2*x^2 + 2*sqrt(c)*d*e*x + sqrt(c)*d^2)*(e*x + d)^m/(e*(m + 2))","A",0
1096,1,17,0,1.425255," ","integrate((e*x+d)^m/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{m}}{\sqrt{c} e m}"," ",0,"(e*x + d)^m/(sqrt(c)*e*m)","A",0
1097,1,51,0,1.495020," ","integrate((e*x+d)^m/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{m} \sqrt{c}}{c^{2} e^{3} {\left(m - 2\right)} x^{2} + 2 \, c^{2} d e^{2} {\left(m - 2\right)} x + c^{2} d^{2} e {\left(m - 2\right)}}"," ",0,"(e*x + d)^m*sqrt(c)/(c^2*e^3*(m - 2)*x^2 + 2*c^2*d*e^2*(m - 2)*x + c^2*d^2*e*(m - 2))","A",0
1098,1,43,0,1.529744," ","integrate((e*x+d)^m*(c*e^2*x^2+2*c*d*e*x+c*d^2)^p,x, algorithm=""maxima"")","\frac{{\left(c^{p} e x + c^{p} d\right)} e^{\left(m \log\left(e x + d\right) + 2 \, p \log\left(e x + d\right)\right)}}{e {\left(m + 2 \, p + 1\right)}}"," ",0,"(c^p*e*x + c^p*d)*e^(m*log(e*x + d) + 2*p*log(e*x + d))/(e*(m + 2*p + 1))","A",0
1099,1,29,0,1.468357," ","integrate((e*x+d)^p/((c*e^2*x^2+2*c*d*e*x+c*d^2)^p),x, algorithm=""maxima"")","-\frac{e x + d}{{\left(e x + d\right)}^{p} c^{p} e {\left(p - 1\right)}}"," ",0,"-(e*x + d)/((e*x + d)^p*c^p*e*(p - 1))","A",0
1100,1,313,0,1.694285," ","integrate((e*x+d)^3*(c*e^2*x^2+2*c*d*e*x+c*d^2)^p,x, algorithm=""maxima"")","\frac{{\left(c^{p} e x + c^{p} d\right)} {\left(e x + d\right)}^{2 \, p} d^{3}}{e {\left(2 \, p + 1\right)}} + \frac{3 \, {\left(c^{p} e^{2} {\left(2 \, p + 1\right)} x^{2} + 2 \, c^{p} d e p x - c^{p} d^{2}\right)} {\left(e x + d\right)}^{2 \, p} d^{2}}{2 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} e} + \frac{3 \, {\left({\left(2 \, p^{2} + 3 \, p + 1\right)} c^{p} e^{3} x^{3} + {\left(2 \, p^{2} + p\right)} c^{p} d e^{2} x^{2} - 2 \, c^{p} d^{2} e p x + c^{p} d^{3}\right)} {\left(e x + d\right)}^{2 \, p} d}{{\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} e} + \frac{{\left({\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} c^{p} e^{4} x^{4} + 2 \, {\left(2 \, p^{3} + 3 \, p^{2} + p\right)} c^{p} d e^{3} x^{3} - 3 \, {\left(2 \, p^{2} + p\right)} c^{p} d^{2} e^{2} x^{2} + 6 \, c^{p} d^{3} e p x - 3 \, c^{p} d^{4}\right)} {\left(e x + d\right)}^{2 \, p}}{2 \, {\left(4 \, p^{4} + 20 \, p^{3} + 35 \, p^{2} + 25 \, p + 6\right)} e}"," ",0,"(c^p*e*x + c^p*d)*(e*x + d)^(2*p)*d^3/(e*(2*p + 1)) + 3/2*(c^p*e^2*(2*p + 1)*x^2 + 2*c^p*d*e*p*x - c^p*d^2)*(e*x + d)^(2*p)*d^2/((2*p^2 + 3*p + 1)*e) + 3*((2*p^2 + 3*p + 1)*c^p*e^3*x^3 + (2*p^2 + p)*c^p*d*e^2*x^2 - 2*c^p*d^2*e*p*x + c^p*d^3)*(e*x + d)^(2*p)*d/((4*p^3 + 12*p^2 + 11*p + 3)*e) + 1/2*((4*p^3 + 12*p^2 + 11*p + 3)*c^p*e^4*x^4 + 2*(2*p^3 + 3*p^2 + p)*c^p*d*e^3*x^3 - 3*(2*p^2 + p)*c^p*d^2*e^2*x^2 + 6*c^p*d^3*e*p*x - 3*c^p*d^4)*(e*x + d)^(2*p)/((4*p^4 + 20*p^3 + 35*p^2 + 25*p + 6)*e)","B",0
1101,1,182,0,1.631716," ","integrate((e*x+d)^2*(c*e^2*x^2+2*c*d*e*x+c*d^2)^p,x, algorithm=""maxima"")","\frac{{\left(c^{p} e x + c^{p} d\right)} {\left(e x + d\right)}^{2 \, p} d^{2}}{e {\left(2 \, p + 1\right)}} + \frac{{\left(c^{p} e^{2} {\left(2 \, p + 1\right)} x^{2} + 2 \, c^{p} d e p x - c^{p} d^{2}\right)} {\left(e x + d\right)}^{2 \, p} d}{{\left(2 \, p^{2} + 3 \, p + 1\right)} e} + \frac{{\left({\left(2 \, p^{2} + 3 \, p + 1\right)} c^{p} e^{3} x^{3} + {\left(2 \, p^{2} + p\right)} c^{p} d e^{2} x^{2} - 2 \, c^{p} d^{2} e p x + c^{p} d^{3}\right)} {\left(e x + d\right)}^{2 \, p}}{{\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} e}"," ",0,"(c^p*e*x + c^p*d)*(e*x + d)^(2*p)*d^2/(e*(2*p + 1)) + (c^p*e^2*(2*p + 1)*x^2 + 2*c^p*d*e*p*x - c^p*d^2)*(e*x + d)^(2*p)*d/((2*p^2 + 3*p + 1)*e) + ((2*p^2 + 3*p + 1)*c^p*e^3*x^3 + (2*p^2 + p)*c^p*d*e^2*x^2 - 2*c^p*d^2*e*p*x + c^p*d^3)*(e*x + d)^(2*p)/((4*p^3 + 12*p^2 + 11*p + 3)*e)","B",0
1102,1,37,0,1.384594," ","integrate((e*x+d)*(c*e^2*x^2+2*c*d*e*x+c*d^2)^p,x, algorithm=""maxima"")","\frac{{\left(c e^{2} x^{2} + 2 \, c d e x + c d^{2}\right)}^{p + 1}}{2 \, c e {\left(p + 1\right)}}"," ",0,"1/2*(c*e^2*x^2 + 2*c*d*e*x + c*d^2)^(p + 1)/(c*e*(p + 1))","A",0
1103,1,32,0,1.444814," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^p,x, algorithm=""maxima"")","\frac{{\left(c^{p} e x + c^{p} d\right)} {\left(e x + d\right)}^{2 \, p}}{e {\left(2 \, p + 1\right)}}"," ",0,"(c^p*e*x + c^p*d)*(e*x + d)^(2*p)/(e*(2*p + 1))","A",0
1104,1,20,0,1.496114," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^p/(e*x+d),x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{2 \, p} c^{p}}{2 \, e p}"," ",0,"1/2*(e*x + d)^(2*p)*c^p/(e*p)","A",0
1105,1,34,0,1.486634," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{2 \, p} c^{p}}{e^{2} {\left(2 \, p - 1\right)} x + d e {\left(2 \, p - 1\right)}}"," ",0,"(e*x + d)^(2*p)*c^p/(e^2*(2*p - 1)*x + d*e*(2*p - 1))","A",0
1106,1,45,0,1.510232," ","integrate((c*e^2*x^2+2*c*d*e*x+c*d^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\frac{{\left(e x + d\right)}^{2 \, p} c^{p}}{2 \, {\left(e^{3} {\left(p - 1\right)} x^{2} + 2 \, d e^{2} {\left(p - 1\right)} x + d^{2} e {\left(p - 1\right)}\right)}}"," ",0,"1/2*(e*x + d)^(2*p)*c^p/(e^3*(p - 1)*x^2 + 2*d*e^2*(p - 1)*x + d^2*e*(p - 1))","A",0
1107,1,13,0,1.416601," ","integrate((e*x+d)^(-1-2*p)*(c*e^2*x^2+2*c*d*e*x+c*d^2)^p,x, algorithm=""maxima"")","\frac{c^{p} \log\left(e x + d\right)}{e}"," ",0,"c^p*log(e*x + d)/e","A",0
1108,1,15,0,1.440364," ","integrate((e*x+d)^(-1+2*p)/((c*e^2*x^2+2*c*d*e*x+c*d^2)^p),x, algorithm=""maxima"")","\frac{\log\left(e x + d\right)}{c^{p} e}"," ",0,"log(e*x + d)/(c^p*e)","A",0
1109,1,120,0,1.361194," ","integrate((2*c*d*x+b*d)^4*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{16}{7} \, c^{5} d^{4} x^{7} + 8 \, b c^{4} d^{4} x^{6} + a b^{4} d^{4} x + \frac{8}{5} \, {\left(7 \, b^{2} c^{3} + 2 \, a c^{4}\right)} d^{4} x^{5} + 8 \, {\left(b^{3} c^{2} + a b c^{3}\right)} d^{4} x^{4} + {\left(3 \, b^{4} c + 8 \, a b^{2} c^{2}\right)} d^{4} x^{3} + \frac{1}{2} \, {\left(b^{5} + 8 \, a b^{3} c\right)} d^{4} x^{2}"," ",0,"16/7*c^5*d^4*x^7 + 8*b*c^4*d^4*x^6 + a*b^4*d^4*x + 8/5*(7*b^2*c^3 + 2*a*c^4)*d^4*x^5 + 8*(b^3*c^2 + a*b*c^3)*d^4*x^4 + (3*b^4*c + 8*a*b^2*c^2)*d^4*x^3 + 1/2*(b^5 + 8*a*b^3*c)*d^4*x^2","B",0
1110,1,97,0,1.395330," ","integrate((2*c*d*x+b*d)^3*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{4}{3} \, c^{4} d^{3} x^{6} + 4 \, b c^{3} d^{3} x^{5} + a b^{3} d^{3} x + \frac{1}{2} \, {\left(9 \, b^{2} c^{2} + 4 \, a c^{3}\right)} d^{3} x^{4} + \frac{1}{3} \, {\left(7 \, b^{3} c + 12 \, a b c^{2}\right)} d^{3} x^{3} + \frac{1}{2} \, {\left(b^{4} + 6 \, a b^{2} c\right)} d^{3} x^{2}"," ",0,"4/3*c^4*d^3*x^6 + 4*b*c^3*d^3*x^5 + a*b^3*d^3*x + 1/2*(9*b^2*c^2 + 4*a*c^3)*d^3*x^4 + 1/3*(7*b^3*c + 12*a*b*c^2)*d^3*x^3 + 1/2*(b^4 + 6*a*b^2*c)*d^3*x^2","B",0
1111,1,71,0,1.334837," ","integrate((2*c*d*x+b*d)^2*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{4}{5} \, c^{3} d^{2} x^{5} + 2 \, b c^{2} d^{2} x^{4} + a b^{2} d^{2} x + \frac{1}{3} \, {\left(5 \, b^{2} c + 4 \, a c^{2}\right)} d^{2} x^{3} + \frac{1}{2} \, {\left(b^{3} + 4 \, a b c\right)} d^{2} x^{2}"," ",0,"4/5*c^3*d^2*x^5 + 2*b*c^2*d^2*x^4 + a*b^2*d^2*x + 1/3*(5*b^2*c + 4*a*c^2)*d^2*x^3 + 1/2*(b^3 + 4*a*b*c)*d^2*x^2","A",0
1112,1,15,0,1.433608," ","integrate((2*c*d*x+b*d)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(c x^{2} + b x + a\right)}^{2} d"," ",0,"1/2*(c*x^2 + b*x + a)^2*d","A",0
1113,1,41,0,1.300573," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d),x, algorithm=""maxima"")","\frac{c x^{2} + b x}{4 \, c d} - \frac{{\left(b^{2} - 4 \, a c\right)} \log\left(2 \, c x + b\right)}{8 \, c^{2} d}"," ",0,"1/4*(c*x^2 + b*x)/(c*d) - 1/8*(b^2 - 4*a*c)*log(2*c*x + b)/(c^2*d)","A",0
1114,1,40,0,1.369547," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^2,x, algorithm=""maxima"")","\frac{b^{2} - 4 \, a c}{8 \, {\left(2 \, c^{3} d^{2} x + b c^{2} d^{2}\right)}} + \frac{x}{4 \, c d^{2}}"," ",0,"1/8*(b^2 - 4*a*c)/(2*c^3*d^2*x + b*c^2*d^2) + 1/4*x/(c*d^2)","A",0
1115,1,60,0,1.402713," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^3,x, algorithm=""maxima"")","\frac{b^{2} - 4 \, a c}{16 \, {\left(4 \, c^{4} d^{3} x^{2} + 4 \, b c^{3} d^{3} x + b^{2} c^{2} d^{3}\right)}} + \frac{\log\left(2 \, c x + b\right)}{8 \, c^{2} d^{3}}"," ",0,"1/16*(b^2 - 4*a*c)/(4*c^4*d^3*x^2 + 4*b*c^3*d^3*x + b^2*c^2*d^3) + 1/8*log(2*c*x + b)/(c^2*d^3)","A",0
1116,1,71,0,1.357676," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^4,x, algorithm=""maxima"")","-\frac{6 \, c^{2} x^{2} + 6 \, b c x + b^{2} + 2 \, a c}{12 \, {\left(8 \, c^{5} d^{4} x^{3} + 12 \, b c^{4} d^{4} x^{2} + 6 \, b^{2} c^{3} d^{4} x + b^{3} c^{2} d^{4}\right)}}"," ",0,"-1/12*(6*c^2*x^2 + 6*b*c*x + b^2 + 2*a*c)/(8*c^5*d^4*x^3 + 12*b*c^4*d^4*x^2 + 6*b^2*c^3*d^4*x + b^3*c^2*d^4)","A",0
1117,1,85,0,1.357192," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^5,x, algorithm=""maxima"")","-\frac{8 \, c^{2} x^{2} + 8 \, b c x + b^{2} + 4 \, a c}{32 \, {\left(16 \, c^{6} d^{5} x^{4} + 32 \, b c^{5} d^{5} x^{3} + 24 \, b^{2} c^{4} d^{5} x^{2} + 8 \, b^{3} c^{3} d^{5} x + b^{4} c^{2} d^{5}\right)}}"," ",0,"-1/32*(8*c^2*x^2 + 8*b*c*x + b^2 + 4*a*c)/(16*c^6*d^5*x^4 + 32*b*c^5*d^5*x^3 + 24*b^2*c^4*d^5*x^2 + 8*b^3*c^3*d^5*x + b^4*c^2*d^5)","B",0
1118,1,99,0,1.426721," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^6,x, algorithm=""maxima"")","-\frac{10 \, c^{2} x^{2} + 10 \, b c x + b^{2} + 6 \, a c}{60 \, {\left(32 \, c^{7} d^{6} x^{5} + 80 \, b c^{6} d^{6} x^{4} + 80 \, b^{2} c^{5} d^{6} x^{3} + 40 \, b^{3} c^{4} d^{6} x^{2} + 10 \, b^{4} c^{3} d^{6} x + b^{5} c^{2} d^{6}\right)}}"," ",0,"-1/60*(10*c^2*x^2 + 10*b*c*x + b^2 + 6*a*c)/(32*c^7*d^6*x^5 + 80*b*c^6*d^6*x^4 + 80*b^2*c^5*d^6*x^3 + 40*b^3*c^4*d^6*x^2 + 10*b^4*c^3*d^6*x + b^5*c^2*d^6)","B",0
1119,1,113,0,1.388790," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^7,x, algorithm=""maxima"")","-\frac{12 \, c^{2} x^{2} + 12 \, b c x + b^{2} + 8 \, a c}{96 \, {\left(64 \, c^{8} d^{7} x^{6} + 192 \, b c^{7} d^{7} x^{5} + 240 \, b^{2} c^{6} d^{7} x^{4} + 160 \, b^{3} c^{5} d^{7} x^{3} + 60 \, b^{4} c^{4} d^{7} x^{2} + 12 \, b^{5} c^{3} d^{7} x + b^{6} c^{2} d^{7}\right)}}"," ",0,"-1/96*(12*c^2*x^2 + 12*b*c*x + b^2 + 8*a*c)/(64*c^8*d^7*x^6 + 192*b*c^7*d^7*x^5 + 240*b^2*c^6*d^7*x^4 + 160*b^3*c^5*d^7*x^3 + 60*b^4*c^4*d^7*x^2 + 12*b^5*c^3*d^7*x + b^6*c^2*d^7)","B",0
1120,1,127,0,1.376372," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^8,x, algorithm=""maxima"")","-\frac{14 \, c^{2} x^{2} + 14 \, b c x + b^{2} + 10 \, a c}{140 \, {\left(128 \, c^{9} d^{8} x^{7} + 448 \, b c^{8} d^{8} x^{6} + 672 \, b^{2} c^{7} d^{8} x^{5} + 560 \, b^{3} c^{6} d^{8} x^{4} + 280 \, b^{4} c^{5} d^{8} x^{3} + 84 \, b^{5} c^{4} d^{8} x^{2} + 14 \, b^{6} c^{3} d^{8} x + b^{7} c^{2} d^{8}\right)}}"," ",0,"-1/140*(14*c^2*x^2 + 14*b*c*x + b^2 + 10*a*c)/(128*c^9*d^8*x^7 + 448*b*c^8*d^8*x^6 + 672*b^2*c^7*d^8*x^5 + 560*b^3*c^6*d^8*x^4 + 280*b^4*c^5*d^8*x^3 + 84*b^5*c^4*d^8*x^2 + 14*b^6*c^3*d^8*x + b^7*c^2*d^8)","B",0
1121,1,237,0,1.358175," ","integrate((2*c*d*x+b*d)^5*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{16}{5} \, c^{7} d^{5} x^{10} + 16 \, b c^{6} d^{5} x^{9} + 2 \, {\left(17 \, b^{2} c^{5} + 4 \, a c^{6}\right)} d^{5} x^{8} + a^{2} b^{5} d^{5} x + 8 \, {\left(5 \, b^{3} c^{4} + 4 \, a b c^{5}\right)} d^{5} x^{7} + \frac{1}{3} \, {\left(85 \, b^{4} c^{3} + 160 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} d^{5} x^{6} + \frac{1}{5} \, {\left(61 \, b^{5} c^{2} + 240 \, a b^{3} c^{3} + 80 \, a^{2} b c^{4}\right)} d^{5} x^{5} + {\left(3 \, b^{6} c + 25 \, a b^{4} c^{2} + 20 \, a^{2} b^{2} c^{3}\right)} d^{5} x^{4} + \frac{1}{3} \, {\left(b^{7} + 22 \, a b^{5} c + 40 \, a^{2} b^{3} c^{2}\right)} d^{5} x^{3} + {\left(a b^{6} + 5 \, a^{2} b^{4} c\right)} d^{5} x^{2}"," ",0,"16/5*c^7*d^5*x^10 + 16*b*c^6*d^5*x^9 + 2*(17*b^2*c^5 + 4*a*c^6)*d^5*x^8 + a^2*b^5*d^5*x + 8*(5*b^3*c^4 + 4*a*b*c^5)*d^5*x^7 + 1/3*(85*b^4*c^3 + 160*a*b^2*c^4 + 16*a^2*c^5)*d^5*x^6 + 1/5*(61*b^5*c^2 + 240*a*b^3*c^3 + 80*a^2*b*c^4)*d^5*x^5 + (3*b^6*c + 25*a*b^4*c^2 + 20*a^2*b^2*c^3)*d^5*x^4 + 1/3*(b^7 + 22*a*b^5*c + 40*a^2*b^3*c^2)*d^5*x^3 + (a*b^6 + 5*a^2*b^4*c)*d^5*x^2","B",0
1122,1,201,0,1.417819," ","integrate((2*c*d*x+b*d)^4*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{16}{9} \, c^{6} d^{4} x^{9} + 8 \, b c^{5} d^{4} x^{8} + \frac{8}{7} \, {\left(13 \, b^{2} c^{4} + 4 \, a c^{5}\right)} d^{4} x^{7} + a^{2} b^{4} d^{4} x + \frac{4}{3} \, {\left(11 \, b^{3} c^{3} + 12 \, a b c^{4}\right)} d^{4} x^{6} + \frac{1}{5} \, {\left(41 \, b^{4} c^{2} + 112 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} d^{4} x^{5} + \frac{1}{2} \, {\left(5 \, b^{5} c + 32 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} d^{4} x^{4} + \frac{1}{3} \, {\left(b^{6} + 18 \, a b^{4} c + 24 \, a^{2} b^{2} c^{2}\right)} d^{4} x^{3} + {\left(a b^{5} + 4 \, a^{2} b^{3} c\right)} d^{4} x^{2}"," ",0,"16/9*c^6*d^4*x^9 + 8*b*c^5*d^4*x^8 + 8/7*(13*b^2*c^4 + 4*a*c^5)*d^4*x^7 + a^2*b^4*d^4*x + 4/3*(11*b^3*c^3 + 12*a*b*c^4)*d^4*x^6 + 1/5*(41*b^4*c^2 + 112*a*b^2*c^3 + 16*a^2*c^4)*d^4*x^5 + 1/2*(5*b^5*c + 32*a*b^3*c^2 + 16*a^2*b*c^3)*d^4*x^4 + 1/3*(b^6 + 18*a*b^4*c + 24*a^2*b^2*c^2)*d^4*x^3 + (a*b^5 + 4*a^2*b^3*c)*d^4*x^2","B",0
1123,1,161,0,1.364018," ","integrate((2*c*d*x+b*d)^3*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","c^{5} d^{3} x^{8} + 4 \, b c^{4} d^{3} x^{7} + \frac{1}{3} \, {\left(19 \, b^{2} c^{3} + 8 \, a c^{4}\right)} d^{3} x^{6} + a^{2} b^{3} d^{3} x + {\left(5 \, b^{3} c^{2} + 8 \, a b c^{3}\right)} d^{3} x^{5} + {\left(2 \, b^{4} c + 9 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} d^{3} x^{4} + \frac{1}{3} \, {\left(b^{5} + 14 \, a b^{3} c + 12 \, a^{2} b c^{2}\right)} d^{3} x^{3} + {\left(a b^{4} + 3 \, a^{2} b^{2} c\right)} d^{3} x^{2}"," ",0,"c^5*d^3*x^8 + 4*b*c^4*d^3*x^7 + 1/3*(19*b^2*c^3 + 8*a*c^4)*d^3*x^6 + a^2*b^3*d^3*x + (5*b^3*c^2 + 8*a*b*c^3)*d^3*x^5 + (2*b^4*c + 9*a*b^2*c^2 + 2*a^2*c^3)*d^3*x^4 + 1/3*(b^5 + 14*a*b^3*c + 12*a^2*b*c^2)*d^3*x^3 + (a*b^4 + 3*a^2*b^2*c)*d^3*x^2","B",0
1124,1,127,0,1.357612," ","integrate((2*c*d*x+b*d)^2*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{4}{7} \, c^{4} d^{2} x^{7} + 2 \, b c^{3} d^{2} x^{6} + \frac{1}{5} \, {\left(13 \, b^{2} c^{2} + 8 \, a c^{3}\right)} d^{2} x^{5} + a^{2} b^{2} d^{2} x + \frac{1}{2} \, {\left(3 \, b^{3} c + 8 \, a b c^{2}\right)} d^{2} x^{4} + \frac{1}{3} \, {\left(b^{4} + 10 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} d^{2} x^{3} + {\left(a b^{3} + 2 \, a^{2} b c\right)} d^{2} x^{2}"," ",0,"4/7*c^4*d^2*x^7 + 2*b*c^3*d^2*x^6 + 1/5*(13*b^2*c^2 + 8*a*c^3)*d^2*x^5 + a^2*b^2*d^2*x + 1/2*(3*b^3*c + 8*a*b*c^2)*d^2*x^4 + 1/3*(b^4 + 10*a*b^2*c + 4*a^2*c^2)*d^2*x^3 + (a*b^3 + 2*a^2*b*c)*d^2*x^2","A",0
1125,1,15,0,1.364573," ","integrate((2*c*d*x+b*d)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(c x^{2} + b x + a\right)}^{3} d"," ",0,"1/3*(c*x^2 + b*x + a)^3*d","A",0
1126,1,89,0,1.398225," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d),x, algorithm=""maxima"")","\frac{2 \, c^{3} x^{4} + 4 \, b c^{2} x^{3} + {\left(b^{2} c + 8 \, a c^{2}\right)} x^{2} - {\left(b^{3} - 8 \, a b c\right)} x}{16 \, c^{2} d} + \frac{{\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} \log\left(2 \, c x + b\right)}{32 \, c^{3} d}"," ",0,"1/16*(2*c^3*x^4 + 4*b*c^2*x^3 + (b^2*c + 8*a*c^2)*x^2 - (b^3 - 8*a*b*c)*x)/(c^2*d) + 1/32*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*log(2*c*x + b)/(c^3*d)","A",0
1127,1,77,0,1.395423," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^2,x, algorithm=""maxima"")","-\frac{b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}}{32 \, {\left(2 \, c^{4} d^{2} x + b c^{3} d^{2}\right)}} + \frac{4 \, c^{2} x^{3} + 6 \, b c x^{2} - 3 \, {\left(b^{2} - 8 \, a c\right)} x}{48 \, c^{2} d^{2}}"," ",0,"-1/32*(b^4 - 8*a*b^2*c + 16*a^2*c^2)/(2*c^4*d^2*x + b*c^3*d^2) + 1/48*(4*c^2*x^3 + 6*b*c*x^2 - 3*(b^2 - 8*a*c)*x)/(c^2*d^2)","A",0
1128,1,96,0,1.382071," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^3,x, algorithm=""maxima"")","-\frac{b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}}{64 \, {\left(4 \, c^{5} d^{3} x^{2} + 4 \, b c^{4} d^{3} x + b^{2} c^{3} d^{3}\right)}} + \frac{c x^{2} + b x}{16 \, c^{2} d^{3}} - \frac{{\left(b^{2} - 4 \, a c\right)} \log\left(2 \, c x + b\right)}{16 \, c^{3} d^{3}}"," ",0,"-1/64*(b^4 - 8*a*b^2*c + 16*a^2*c^2)/(4*c^5*d^3*x^2 + 4*b*c^4*d^3*x + b^2*c^3*d^3) + 1/16*(c*x^2 + b*x)/(c^2*d^3) - 1/16*(b^2 - 4*a*c)*log(2*c*x + b)/(c^3*d^3)","A",0
1129,1,116,0,1.444740," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^4,x, algorithm=""maxima"")","\frac{5 \, b^{4} - 16 \, a b^{2} c - 16 \, a^{2} c^{2} + 24 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{2} + 24 \, {\left(b^{3} c - 4 \, a b c^{2}\right)} x}{96 \, {\left(8 \, c^{6} d^{4} x^{3} + 12 \, b c^{5} d^{4} x^{2} + 6 \, b^{2} c^{4} d^{4} x + b^{3} c^{3} d^{4}\right)}} + \frac{x}{16 \, c^{2} d^{4}}"," ",0,"1/96*(5*b^4 - 16*a*b^2*c - 16*a^2*c^2 + 24*(b^2*c^2 - 4*a*c^3)*x^2 + 24*(b^3*c - 4*a*b*c^2)*x)/(8*c^6*d^4*x^3 + 12*b*c^5*d^4*x^2 + 6*b^2*c^4*d^4*x + b^3*c^3*d^4) + 1/16*x/(c^2*d^4)","A",0
1130,1,136,0,1.456850," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^5,x, algorithm=""maxima"")","\frac{3 \, b^{4} - 8 \, a b^{2} c - 16 \, a^{2} c^{2} + 16 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{2} + 16 \, {\left(b^{3} c - 4 \, a b c^{2}\right)} x}{128 \, {\left(16 \, c^{7} d^{5} x^{4} + 32 \, b c^{6} d^{5} x^{3} + 24 \, b^{2} c^{5} d^{5} x^{2} + 8 \, b^{3} c^{4} d^{5} x + b^{4} c^{3} d^{5}\right)}} + \frac{\log\left(2 \, c x + b\right)}{32 \, c^{3} d^{5}}"," ",0,"1/128*(3*b^4 - 8*a*b^2*c - 16*a^2*c^2 + 16*(b^2*c^2 - 4*a*c^3)*x^2 + 16*(b^3*c - 4*a*b*c^2)*x)/(16*c^7*d^5*x^4 + 32*b*c^6*d^5*x^3 + 24*b^2*c^5*d^5*x^2 + 8*b^3*c^4*d^5*x + b^4*c^3*d^5) + 1/32*log(2*c*x + b)/(c^3*d^5)","B",0
1131,1,149,0,1.428417," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^6,x, algorithm=""maxima"")","-\frac{30 \, c^{4} x^{4} + 60 \, b c^{3} x^{3} + b^{4} + 2 \, a b^{2} c + 6 \, a^{2} c^{2} + 20 \, {\left(2 \, b^{2} c^{2} + a c^{3}\right)} x^{2} + 10 \, {\left(b^{3} c + 2 \, a b c^{2}\right)} x}{60 \, {\left(32 \, c^{8} d^{6} x^{5} + 80 \, b c^{7} d^{6} x^{4} + 80 \, b^{2} c^{6} d^{6} x^{3} + 40 \, b^{3} c^{5} d^{6} x^{2} + 10 \, b^{4} c^{4} d^{6} x + b^{5} c^{3} d^{6}\right)}}"," ",0,"-1/60*(30*c^4*x^4 + 60*b*c^3*x^3 + b^4 + 2*a*b^2*c + 6*a^2*c^2 + 20*(2*b^2*c^2 + a*c^3)*x^2 + 10*(b^3*c + 2*a*b*c^2)*x)/(32*c^8*d^6*x^5 + 80*b*c^7*d^6*x^4 + 80*b^2*c^6*d^6*x^3 + 40*b^3*c^5*d^6*x^2 + 10*b^4*c^4*d^6*x + b^5*c^3*d^6)","B",0
1132,1,164,0,1.498180," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^7,x, algorithm=""maxima"")","-\frac{48 \, c^{4} x^{4} + 96 \, b c^{3} x^{3} + b^{4} + 4 \, a b^{2} c + 16 \, a^{2} c^{2} + 12 \, {\left(5 \, b^{2} c^{2} + 4 \, a c^{3}\right)} x^{2} + 12 \, {\left(b^{3} c + 4 \, a b c^{2}\right)} x}{192 \, {\left(64 \, c^{9} d^{7} x^{6} + 192 \, b c^{8} d^{7} x^{5} + 240 \, b^{2} c^{7} d^{7} x^{4} + 160 \, b^{3} c^{6} d^{7} x^{3} + 60 \, b^{4} c^{5} d^{7} x^{2} + 12 \, b^{5} c^{4} d^{7} x + b^{6} c^{3} d^{7}\right)}}"," ",0,"-1/192*(48*c^4*x^4 + 96*b*c^3*x^3 + b^4 + 4*a*b^2*c + 16*a^2*c^2 + 12*(5*b^2*c^2 + 4*a*c^3)*x^2 + 12*(b^3*c + 4*a*b*c^2)*x)/(64*c^9*d^7*x^6 + 192*b*c^8*d^7*x^5 + 240*b^2*c^7*d^7*x^4 + 160*b^3*c^6*d^7*x^3 + 60*b^4*c^5*d^7*x^2 + 12*b^5*c^4*d^7*x + b^6*c^3*d^7)","B",0
1133,1,176,0,1.526022," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^8,x, algorithm=""maxima"")","-\frac{70 \, c^{4} x^{4} + 140 \, b c^{3} x^{3} + b^{4} + 6 \, a b^{2} c + 30 \, a^{2} c^{2} + 84 \, {\left(b^{2} c^{2} + a c^{3}\right)} x^{2} + 14 \, {\left(b^{3} c + 6 \, a b c^{2}\right)} x}{420 \, {\left(128 \, c^{10} d^{8} x^{7} + 448 \, b c^{9} d^{8} x^{6} + 672 \, b^{2} c^{8} d^{8} x^{5} + 560 \, b^{3} c^{7} d^{8} x^{4} + 280 \, b^{4} c^{6} d^{8} x^{3} + 84 \, b^{5} c^{5} d^{8} x^{2} + 14 \, b^{6} c^{4} d^{8} x + b^{7} c^{3} d^{8}\right)}}"," ",0,"-1/420*(70*c^4*x^4 + 140*b*c^3*x^3 + b^4 + 6*a*b^2*c + 30*a^2*c^2 + 84*(b^2*c^2 + a*c^3)*x^2 + 14*(b^3*c + 6*a*b*c^2)*x)/(128*c^10*d^8*x^7 + 448*b*c^9*d^8*x^6 + 672*b^2*c^8*d^8*x^5 + 560*b^3*c^7*d^8*x^4 + 280*b^4*c^6*d^8*x^3 + 84*b^5*c^5*d^8*x^2 + 14*b^6*c^4*d^8*x + b^7*c^3*d^8)","B",0
1134,1,192,0,1.540027," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^9,x, algorithm=""maxima"")","-\frac{96 \, c^{4} x^{4} + 192 \, b c^{3} x^{3} + b^{4} + 8 \, a b^{2} c + 48 \, a^{2} c^{2} + 16 \, {\left(7 \, b^{2} c^{2} + 8 \, a c^{3}\right)} x^{2} + 16 \, {\left(b^{3} c + 8 \, a b c^{2}\right)} x}{768 \, {\left(256 \, c^{11} d^{9} x^{8} + 1024 \, b c^{10} d^{9} x^{7} + 1792 \, b^{2} c^{9} d^{9} x^{6} + 1792 \, b^{3} c^{8} d^{9} x^{5} + 1120 \, b^{4} c^{7} d^{9} x^{4} + 448 \, b^{5} c^{6} d^{9} x^{3} + 112 \, b^{6} c^{5} d^{9} x^{2} + 16 \, b^{7} c^{4} d^{9} x + b^{8} c^{3} d^{9}\right)}}"," ",0,"-1/768*(96*c^4*x^4 + 192*b*c^3*x^3 + b^4 + 8*a*b^2*c + 48*a^2*c^2 + 16*(7*b^2*c^2 + 8*a*c^3)*x^2 + 16*(b^3*c + 8*a*b*c^2)*x)/(256*c^11*d^9*x^8 + 1024*b*c^10*d^9*x^7 + 1792*b^2*c^9*d^9*x^6 + 1792*b^3*c^8*d^9*x^5 + 1120*b^4*c^7*d^9*x^4 + 448*b^5*c^6*d^9*x^3 + 112*b^6*c^5*d^9*x^2 + 16*b^7*c^4*d^9*x + b^8*c^3*d^9)","B",0
1135,1,206,0,1.536916," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^10,x, algorithm=""maxima"")","-\frac{126 \, c^{4} x^{4} + 252 \, b c^{3} x^{3} + b^{4} + 10 \, a b^{2} c + 70 \, a^{2} c^{2} + 36 \, {\left(4 \, b^{2} c^{2} + 5 \, a c^{3}\right)} x^{2} + 18 \, {\left(b^{3} c + 10 \, a b c^{2}\right)} x}{1260 \, {\left(512 \, c^{12} d^{10} x^{9} + 2304 \, b c^{11} d^{10} x^{8} + 4608 \, b^{2} c^{10} d^{10} x^{7} + 5376 \, b^{3} c^{9} d^{10} x^{6} + 4032 \, b^{4} c^{8} d^{10} x^{5} + 2016 \, b^{5} c^{7} d^{10} x^{4} + 672 \, b^{6} c^{6} d^{10} x^{3} + 144 \, b^{7} c^{5} d^{10} x^{2} + 18 \, b^{8} c^{4} d^{10} x + b^{9} c^{3} d^{10}\right)}}"," ",0,"-1/1260*(126*c^4*x^4 + 252*b*c^3*x^3 + b^4 + 10*a*b^2*c + 70*a^2*c^2 + 36*(4*b^2*c^2 + 5*a*c^3)*x^2 + 18*(b^3*c + 10*a*b*c^2)*x)/(512*c^12*d^10*x^9 + 2304*b*c^11*d^10*x^8 + 4608*b^2*c^10*d^10*x^7 + 5376*b^3*c^9*d^10*x^6 + 4032*b^4*c^8*d^10*x^5 + 2016*b^5*c^7*d^10*x^4 + 672*b^6*c^6*d^10*x^3 + 144*b^7*c^5*d^10*x^2 + 18*b^8*c^4*d^10*x + b^9*c^3*d^10)","B",0
1136,1,220,0,1.539345," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^11,x, algorithm=""maxima"")","-\frac{160 \, c^{4} x^{4} + 320 \, b c^{3} x^{3} + b^{4} + 12 \, a b^{2} c + 96 \, a^{2} c^{2} + 60 \, {\left(3 \, b^{2} c^{2} + 4 \, a c^{3}\right)} x^{2} + 20 \, {\left(b^{3} c + 12 \, a b c^{2}\right)} x}{1920 \, {\left(1024 \, c^{13} d^{11} x^{10} + 5120 \, b c^{12} d^{11} x^{9} + 11520 \, b^{2} c^{11} d^{11} x^{8} + 15360 \, b^{3} c^{10} d^{11} x^{7} + 13440 \, b^{4} c^{9} d^{11} x^{6} + 8064 \, b^{5} c^{8} d^{11} x^{5} + 3360 \, b^{6} c^{7} d^{11} x^{4} + 960 \, b^{7} c^{6} d^{11} x^{3} + 180 \, b^{8} c^{5} d^{11} x^{2} + 20 \, b^{9} c^{4} d^{11} x + b^{10} c^{3} d^{11}\right)}}"," ",0,"-1/1920*(160*c^4*x^4 + 320*b*c^3*x^3 + b^4 + 12*a*b^2*c + 96*a^2*c^2 + 60*(3*b^2*c^2 + 4*a*c^3)*x^2 + 20*(b^3*c + 12*a*b*c^2)*x)/(1024*c^13*d^11*x^10 + 5120*b*c^12*d^11*x^9 + 11520*b^2*c^11*d^11*x^8 + 15360*b^3*c^10*d^11*x^7 + 13440*b^4*c^9*d^11*x^6 + 8064*b^5*c^8*d^11*x^5 + 3360*b^6*c^7*d^11*x^4 + 960*b^7*c^6*d^11*x^3 + 180*b^8*c^5*d^11*x^2 + 20*b^9*c^4*d^11*x + b^10*c^3*d^11)","B",0
1137,1,342,0,1.331307," ","integrate((2*c*d*x+b*d)^5*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{8}{3} \, c^{8} d^{5} x^{12} + 16 \, b c^{7} d^{5} x^{11} + \frac{16}{5} \, {\left(13 \, b^{2} c^{6} + 3 \, a c^{7}\right)} d^{5} x^{10} + \frac{8}{3} \, {\left(23 \, b^{3} c^{5} + 18 \, a b c^{6}\right)} d^{5} x^{9} + a^{3} b^{5} d^{5} x + \frac{3}{4} \, {\left(75 \, b^{4} c^{4} + 136 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}\right)} d^{5} x^{8} + 3 \, {\left(11 \, b^{5} c^{3} + 40 \, a b^{3} c^{4} + 16 \, a^{2} b c^{5}\right)} d^{5} x^{7} + \frac{1}{6} \, {\left(73 \, b^{6} c^{2} + 510 \, a b^{4} c^{3} + 480 \, a^{2} b^{2} c^{4} + 32 \, a^{3} c^{5}\right)} d^{5} x^{6} + \frac{1}{5} \, {\left(13 \, b^{7} c + 183 \, a b^{5} c^{2} + 360 \, a^{2} b^{3} c^{3} + 80 \, a^{3} b c^{4}\right)} d^{5} x^{5} + \frac{1}{4} \, {\left(b^{8} + 36 \, a b^{6} c + 150 \, a^{2} b^{4} c^{2} + 80 \, a^{3} b^{2} c^{3}\right)} d^{5} x^{4} + \frac{1}{3} \, {\left(3 \, a b^{7} + 33 \, a^{2} b^{5} c + 40 \, a^{3} b^{3} c^{2}\right)} d^{5} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b^{6} + 10 \, a^{3} b^{4} c\right)} d^{5} x^{2}"," ",0,"8/3*c^8*d^5*x^12 + 16*b*c^7*d^5*x^11 + 16/5*(13*b^2*c^6 + 3*a*c^7)*d^5*x^10 + 8/3*(23*b^3*c^5 + 18*a*b*c^6)*d^5*x^9 + a^3*b^5*d^5*x + 3/4*(75*b^4*c^4 + 136*a*b^2*c^5 + 16*a^2*c^6)*d^5*x^8 + 3*(11*b^5*c^3 + 40*a*b^3*c^4 + 16*a^2*b*c^5)*d^5*x^7 + 1/6*(73*b^6*c^2 + 510*a*b^4*c^3 + 480*a^2*b^2*c^4 + 32*a^3*c^5)*d^5*x^6 + 1/5*(13*b^7*c + 183*a*b^5*c^2 + 360*a^2*b^3*c^3 + 80*a^3*b*c^4)*d^5*x^5 + 1/4*(b^8 + 36*a*b^6*c + 150*a^2*b^4*c^2 + 80*a^3*b^2*c^3)*d^5*x^4 + 1/3*(3*a*b^7 + 33*a^2*b^5*c + 40*a^3*b^3*c^2)*d^5*x^3 + 1/2*(3*a^2*b^6 + 10*a^3*b^4*c)*d^5*x^2","B",0
1138,1,290,0,1.363667," ","integrate((2*c*d*x+b*d)^4*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{16}{11} \, c^{7} d^{4} x^{11} + 8 \, b c^{6} d^{4} x^{10} + \frac{8}{3} \, {\left(7 \, b^{2} c^{5} + 2 \, a c^{6}\right)} d^{4} x^{9} + 24 \, {\left(b^{3} c^{4} + a b c^{5}\right)} d^{4} x^{8} + a^{3} b^{4} d^{4} x + \frac{3}{7} \, {\left(43 \, b^{4} c^{3} + 104 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} d^{4} x^{7} + \frac{1}{2} \, {\left(17 \, b^{5} c^{2} + 88 \, a b^{3} c^{3} + 48 \, a^{2} b c^{4}\right)} d^{4} x^{6} + \frac{1}{5} \, {\left(11 \, b^{6} c + 123 \, a b^{4} c^{2} + 168 \, a^{2} b^{2} c^{3} + 16 \, a^{3} c^{4}\right)} d^{4} x^{5} + \frac{1}{4} \, {\left(b^{7} + 30 \, a b^{5} c + 96 \, a^{2} b^{3} c^{2} + 32 \, a^{3} b c^{3}\right)} d^{4} x^{4} + {\left(a b^{6} + 9 \, a^{2} b^{4} c + 8 \, a^{3} b^{2} c^{2}\right)} d^{4} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b^{5} + 8 \, a^{3} b^{3} c\right)} d^{4} x^{2}"," ",0,"16/11*c^7*d^4*x^11 + 8*b*c^6*d^4*x^10 + 8/3*(7*b^2*c^5 + 2*a*c^6)*d^4*x^9 + 24*(b^3*c^4 + a*b*c^5)*d^4*x^8 + a^3*b^4*d^4*x + 3/7*(43*b^4*c^3 + 104*a*b^2*c^4 + 16*a^2*c^5)*d^4*x^7 + 1/2*(17*b^5*c^2 + 88*a*b^3*c^3 + 48*a^2*b*c^4)*d^4*x^6 + 1/5*(11*b^6*c + 123*a*b^4*c^2 + 168*a^2*b^2*c^3 + 16*a^3*c^4)*d^4*x^5 + 1/4*(b^7 + 30*a*b^5*c + 96*a^2*b^3*c^2 + 32*a^3*b*c^3)*d^4*x^4 + (a*b^6 + 9*a^2*b^4*c + 8*a^3*b^2*c^2)*d^4*x^3 + 1/2*(3*a^2*b^5 + 8*a^3*b^3*c)*d^4*x^2","B",0
1139,1,243,0,1.313637," ","integrate((2*c*d*x+b*d)^3*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{4}{5} \, c^{6} d^{3} x^{10} + 4 \, b c^{5} d^{3} x^{9} + \frac{3}{4} \, {\left(11 \, b^{2} c^{4} + 4 \, a c^{5}\right)} d^{3} x^{8} + 3 \, {\left(3 \, b^{3} c^{3} + 4 \, a b c^{4}\right)} d^{3} x^{7} + a^{3} b^{3} d^{3} x + \frac{1}{2} \, {\left(11 \, b^{4} c^{2} + 38 \, a b^{2} c^{3} + 8 \, a^{2} c^{4}\right)} d^{3} x^{6} + \frac{3}{5} \, {\left(3 \, b^{5} c + 25 \, a b^{3} c^{2} + 20 \, a^{2} b c^{3}\right)} d^{3} x^{5} + \frac{1}{4} \, {\left(b^{6} + 24 \, a b^{4} c + 54 \, a^{2} b^{2} c^{2} + 8 \, a^{3} c^{3}\right)} d^{3} x^{4} + {\left(a b^{5} + 7 \, a^{2} b^{3} c + 4 \, a^{3} b c^{2}\right)} d^{3} x^{3} + \frac{3}{2} \, {\left(a^{2} b^{4} + 2 \, a^{3} b^{2} c\right)} d^{3} x^{2}"," ",0,"4/5*c^6*d^3*x^10 + 4*b*c^5*d^3*x^9 + 3/4*(11*b^2*c^4 + 4*a*c^5)*d^3*x^8 + 3*(3*b^3*c^3 + 4*a*b*c^4)*d^3*x^7 + a^3*b^3*d^3*x + 1/2*(11*b^4*c^2 + 38*a*b^2*c^3 + 8*a^2*c^4)*d^3*x^6 + 3/5*(3*b^5*c + 25*a*b^3*c^2 + 20*a^2*b*c^3)*d^3*x^5 + 1/4*(b^6 + 24*a*b^4*c + 54*a^2*b^2*c^2 + 8*a^3*c^3)*d^3*x^4 + (a*b^5 + 7*a^2*b^3*c + 4*a^3*b*c^2)*d^3*x^3 + 3/2*(a^2*b^4 + 2*a^3*b^2*c)*d^3*x^2","B",0
1140,1,198,0,1.415005," ","integrate((2*c*d*x+b*d)^2*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{4}{9} \, c^{5} d^{2} x^{9} + 2 \, b c^{4} d^{2} x^{8} + \frac{1}{7} \, {\left(25 \, b^{2} c^{3} + 12 \, a c^{4}\right)} d^{2} x^{7} + \frac{1}{6} \, {\left(19 \, b^{3} c^{2} + 36 \, a b c^{3}\right)} d^{2} x^{6} + a^{3} b^{2} d^{2} x + \frac{1}{5} \, {\left(7 \, b^{4} c + 39 \, a b^{2} c^{2} + 12 \, a^{2} c^{3}\right)} d^{2} x^{5} + \frac{1}{4} \, {\left(b^{5} + 18 \, a b^{3} c + 24 \, a^{2} b c^{2}\right)} d^{2} x^{4} + \frac{1}{3} \, {\left(3 \, a b^{4} + 15 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} d^{2} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b^{3} + 4 \, a^{3} b c\right)} d^{2} x^{2}"," ",0,"4/9*c^5*d^2*x^9 + 2*b*c^4*d^2*x^8 + 1/7*(25*b^2*c^3 + 12*a*c^4)*d^2*x^7 + 1/6*(19*b^3*c^2 + 36*a*b*c^3)*d^2*x^6 + a^3*b^2*d^2*x + 1/5*(7*b^4*c + 39*a*b^2*c^2 + 12*a^2*c^3)*d^2*x^5 + 1/4*(b^5 + 18*a*b^3*c + 24*a^2*b*c^2)*d^2*x^4 + 1/3*(3*a*b^4 + 15*a^2*b^2*c + 4*a^3*c^2)*d^2*x^3 + 1/2*(3*a^2*b^3 + 4*a^3*b*c)*d^2*x^2","B",0
1141,1,15,0,1.381358," ","integrate((2*c*d*x+b*d)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + b x + a\right)}^{4} d"," ",0,"1/4*(c*x^2 + b*x + a)^4*d","A",0
1142,1,163,0,1.367016," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d),x, algorithm=""maxima"")","\frac{16 \, c^{5} x^{6} + 48 \, b c^{4} x^{5} + 6 \, {\left(7 \, b^{2} c^{3} + 12 \, a c^{4}\right)} x^{4} + 4 \, {\left(b^{3} c^{2} + 36 \, a b c^{3}\right)} x^{3} - 3 \, {\left(b^{4} c - 12 \, a b^{2} c^{2} - 48 \, a^{2} c^{3}\right)} x^{2} + 3 \, {\left(b^{5} - 12 \, a b^{3} c + 48 \, a^{2} b c^{2}\right)} x}{192 \, c^{3} d} - \frac{{\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} \log\left(2 \, c x + b\right)}{128 \, c^{4} d}"," ",0,"1/192*(16*c^5*x^6 + 48*b*c^4*x^5 + 6*(7*b^2*c^3 + 12*a*c^4)*x^4 + 4*(b^3*c^2 + 36*a*b*c^3)*x^3 - 3*(b^4*c - 12*a*b^2*c^2 - 48*a^2*c^3)*x^2 + 3*(b^5 - 12*a*b^3*c + 48*a^2*b*c^2)*x)/(c^3*d) - 1/128*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*log(2*c*x + b)/(c^4*d)","A",0
1143,1,138,0,1.339953," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^2,x, algorithm=""maxima"")","\frac{b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}}{128 \, {\left(2 \, c^{5} d^{2} x + b c^{4} d^{2}\right)}} + \frac{16 \, c^{4} x^{5} + 40 \, b c^{3} x^{4} + 20 \, {\left(b^{2} c^{2} + 4 \, a c^{3}\right)} x^{3} - 10 \, {\left(b^{3} c - 12 \, a b c^{2}\right)} x^{2} + 5 \, {\left(b^{4} - 12 \, a b^{2} c + 48 \, a^{2} c^{2}\right)} x}{320 \, c^{3} d^{2}}"," ",0,"1/128*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)/(2*c^5*d^2*x + b*c^4*d^2) + 1/320*(16*c^4*x^5 + 40*b*c^3*x^4 + 20*(b^2*c^2 + 4*a*c^3)*x^3 - 10*(b^3*c - 12*a*b*c^2)*x^2 + 5*(b^4 - 12*a*b^2*c + 48*a^2*c^2)*x)/(c^3*d^2)","A",0
1144,1,147,0,1.446101," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^3,x, algorithm=""maxima"")","\frac{b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}}{256 \, {\left(4 \, c^{6} d^{3} x^{2} + 4 \, b c^{5} d^{3} x + b^{2} c^{4} d^{3}\right)}} + \frac{c^{3} x^{4} + 2 \, b c^{2} x^{3} + 6 \, a c^{2} x^{2} - {\left(b^{3} - 6 \, a b c\right)} x}{32 \, c^{3} d^{3}} + \frac{3 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} \log\left(2 \, c x + b\right)}{128 \, c^{4} d^{3}}"," ",0,"1/256*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)/(4*c^6*d^3*x^2 + 4*b*c^5*d^3*x + b^2*c^4*d^3) + 1/32*(c^3*x^4 + 2*b*c^2*x^3 + 6*a*c^2*x^2 - (b^3 - 6*a*b*c)*x)/(c^3*d^3) + 3/128*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*log(2*c*x + b)/(c^4*d^3)","A",0
1145,1,175,0,1.376102," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^4,x, algorithm=""maxima"")","-\frac{2 \, b^{6} - 15 \, a b^{4} c + 24 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3} + 9 \, {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{2} + 9 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} x}{96 \, {\left(8 \, c^{7} d^{4} x^{3} + 12 \, b c^{6} d^{4} x^{2} + 6 \, b^{2} c^{5} d^{4} x + b^{3} c^{4} d^{4}\right)}} + \frac{2 \, c^{2} x^{3} + 3 \, b c x^{2} - 3 \, {\left(b^{2} - 6 \, a c\right)} x}{96 \, c^{3} d^{4}}"," ",0,"-1/96*(2*b^6 - 15*a*b^4*c + 24*a^2*b^2*c^2 + 16*a^3*c^3 + 9*(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*x^2 + 9*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*x)/(8*c^7*d^4*x^3 + 12*b*c^6*d^4*x^2 + 6*b^2*c^5*d^4*x + b^3*c^4*d^4) + 1/96*(2*c^2*x^3 + 3*b*c*x^2 - 3*(b^2 - 6*a*c)*x)/(c^3*d^4)","A",0
1146,1,194,0,1.580112," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^5,x, algorithm=""maxima"")","-\frac{5 \, b^{6} - 36 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} + 64 \, a^{3} c^{3} + 24 \, {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{2} + 24 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} x}{512 \, {\left(16 \, c^{8} d^{5} x^{4} + 32 \, b c^{7} d^{5} x^{3} + 24 \, b^{2} c^{6} d^{5} x^{2} + 8 \, b^{3} c^{5} d^{5} x + b^{4} c^{4} d^{5}\right)}} + \frac{c x^{2} + b x}{64 \, c^{3} d^{5}} - \frac{3 \, {\left(b^{2} - 4 \, a c\right)} \log\left(2 \, c x + b\right)}{128 \, c^{4} d^{5}}"," ",0,"-1/512*(5*b^6 - 36*a*b^4*c + 48*a^2*b^2*c^2 + 64*a^3*c^3 + 24*(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*x^2 + 24*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*x)/(16*c^8*d^5*x^4 + 32*b*c^7*d^5*x^3 + 24*b^2*c^6*d^5*x^2 + 8*b^3*c^5*d^5*x + b^4*c^4*d^5) + 1/64*(c*x^2 + b*x)/(c^3*d^5) - 3/128*(b^2 - 4*a*c)*log(2*c*x + b)/(c^4*d^5)","A",0
1147,1,218,0,1.549501," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^6,x, algorithm=""maxima"")","\frac{11 \, b^{6} - 32 \, a b^{4} c - 32 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3} + 240 \, {\left(b^{2} c^{4} - 4 \, a c^{5}\right)} x^{4} + 480 \, {\left(b^{3} c^{3} - 4 \, a b c^{4}\right)} x^{3} + 20 \, {\left(17 \, b^{4} c^{2} - 64 \, a b^{2} c^{3} - 16 \, a^{2} c^{4}\right)} x^{2} + 20 \, {\left(5 \, b^{5} c - 16 \, a b^{3} c^{2} - 16 \, a^{2} b c^{3}\right)} x}{640 \, {\left(32 \, c^{9} d^{6} x^{5} + 80 \, b c^{8} d^{6} x^{4} + 80 \, b^{2} c^{7} d^{6} x^{3} + 40 \, b^{3} c^{6} d^{6} x^{2} + 10 \, b^{4} c^{5} d^{6} x + b^{5} c^{4} d^{6}\right)}} + \frac{x}{64 \, c^{3} d^{6}}"," ",0,"1/640*(11*b^6 - 32*a*b^4*c - 32*a^2*b^2*c^2 - 64*a^3*c^3 + 240*(b^2*c^4 - 4*a*c^5)*x^4 + 480*(b^3*c^3 - 4*a*b*c^4)*x^3 + 20*(17*b^4*c^2 - 64*a*b^2*c^3 - 16*a^2*c^4)*x^2 + 20*(5*b^5*c - 16*a*b^3*c^2 - 16*a^2*b*c^3)*x)/(32*c^9*d^6*x^5 + 80*b*c^8*d^6*x^4 + 80*b^2*c^7*d^6*x^3 + 40*b^3*c^6*d^6*x^2 + 10*b^4*c^5*d^6*x + b^5*c^4*d^6) + 1/64*x/(c^3*d^6)","B",0
1148,1,238,0,1.594201," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^7,x, algorithm=""maxima"")","\frac{11 \, b^{6} - 24 \, a b^{4} c - 48 \, a^{2} b^{2} c^{2} - 128 \, a^{3} c^{3} + 288 \, {\left(b^{2} c^{4} - 4 \, a c^{5}\right)} x^{4} + 576 \, {\left(b^{3} c^{3} - 4 \, a b c^{4}\right)} x^{3} + 36 \, {\left(11 \, b^{4} c^{2} - 40 \, a b^{2} c^{3} - 16 \, a^{2} c^{4}\right)} x^{2} + 36 \, {\left(3 \, b^{5} c - 8 \, a b^{3} c^{2} - 16 \, a^{2} b c^{3}\right)} x}{1536 \, {\left(64 \, c^{10} d^{7} x^{6} + 192 \, b c^{9} d^{7} x^{5} + 240 \, b^{2} c^{8} d^{7} x^{4} + 160 \, b^{3} c^{7} d^{7} x^{3} + 60 \, b^{4} c^{6} d^{7} x^{2} + 12 \, b^{5} c^{5} d^{7} x + b^{6} c^{4} d^{7}\right)}} + \frac{\log\left(2 \, c x + b\right)}{128 \, c^{4} d^{7}}"," ",0,"1/1536*(11*b^6 - 24*a*b^4*c - 48*a^2*b^2*c^2 - 128*a^3*c^3 + 288*(b^2*c^4 - 4*a*c^5)*x^4 + 576*(b^3*c^3 - 4*a*b*c^4)*x^3 + 36*(11*b^4*c^2 - 40*a*b^2*c^3 - 16*a^2*c^4)*x^2 + 36*(3*b^5*c - 8*a*b^3*c^2 - 16*a^2*b*c^3)*x)/(64*c^10*d^7*x^6 + 192*b*c^9*d^7*x^5 + 240*b^2*c^8*d^7*x^4 + 160*b^3*c^7*d^7*x^3 + 60*b^4*c^6*d^7*x^2 + 12*b^5*c^5*d^7*x + b^6*c^4*d^7) + 1/128*log(2*c*x + b)/(c^4*d^7)","B",0
1149,1,248,0,1.550518," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^8,x, algorithm=""maxima"")","-\frac{140 \, c^{6} x^{6} + 420 \, b c^{5} x^{5} + b^{6} + 2 \, a b^{4} c + 6 \, a^{2} b^{2} c^{2} + 20 \, a^{3} c^{3} + 70 \, {\left(7 \, b^{2} c^{4} + 2 \, a c^{5}\right)} x^{4} + 280 \, {\left(b^{3} c^{3} + a b c^{4}\right)} x^{3} + 84 \, {\left(b^{4} c^{2} + 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} x^{2} + 14 \, {\left(b^{5} c + 2 \, a b^{3} c^{2} + 6 \, a^{2} b c^{3}\right)} x}{280 \, {\left(128 \, c^{11} d^{8} x^{7} + 448 \, b c^{10} d^{8} x^{6} + 672 \, b^{2} c^{9} d^{8} x^{5} + 560 \, b^{3} c^{8} d^{8} x^{4} + 280 \, b^{4} c^{7} d^{8} x^{3} + 84 \, b^{5} c^{6} d^{8} x^{2} + 14 \, b^{6} c^{5} d^{8} x + b^{7} c^{4} d^{8}\right)}}"," ",0,"-1/280*(140*c^6*x^6 + 420*b*c^5*x^5 + b^6 + 2*a*b^4*c + 6*a^2*b^2*c^2 + 20*a^3*c^3 + 70*(7*b^2*c^4 + 2*a*c^5)*x^4 + 280*(b^3*c^3 + a*b*c^4)*x^3 + 84*(b^4*c^2 + 2*a*b^2*c^3 + a^2*c^4)*x^2 + 14*(b^5*c + 2*a*b^3*c^2 + 6*a^2*b*c^3)*x)/(128*c^11*d^8*x^7 + 448*b*c^10*d^8*x^6 + 672*b^2*c^9*d^8*x^5 + 560*b^3*c^8*d^8*x^4 + 280*b^4*c^7*d^8*x^3 + 84*b^5*c^6*d^8*x^2 + 14*b^6*c^5*d^8*x + b^7*c^4*d^8)","B",0
1150,1,266,0,1.569565," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^9,x, algorithm=""maxima"")","-\frac{256 \, c^{6} x^{6} + 768 \, b c^{5} x^{5} + b^{6} + 4 \, a b^{4} c + 16 \, a^{2} b^{2} c^{2} + 64 \, a^{3} c^{3} + 96 \, {\left(9 \, b^{2} c^{4} + 4 \, a c^{5}\right)} x^{4} + 64 \, {\left(7 \, b^{3} c^{3} + 12 \, a b c^{4}\right)} x^{3} + 16 \, {\left(7 \, b^{4} c^{2} + 28 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{2} + 16 \, {\left(b^{5} c + 4 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} x}{1024 \, {\left(256 \, c^{12} d^{9} x^{8} + 1024 \, b c^{11} d^{9} x^{7} + 1792 \, b^{2} c^{10} d^{9} x^{6} + 1792 \, b^{3} c^{9} d^{9} x^{5} + 1120 \, b^{4} c^{8} d^{9} x^{4} + 448 \, b^{5} c^{7} d^{9} x^{3} + 112 \, b^{6} c^{6} d^{9} x^{2} + 16 \, b^{7} c^{5} d^{9} x + b^{8} c^{4} d^{9}\right)}}"," ",0,"-1/1024*(256*c^6*x^6 + 768*b*c^5*x^5 + b^6 + 4*a*b^4*c + 16*a^2*b^2*c^2 + 64*a^3*c^3 + 96*(9*b^2*c^4 + 4*a*c^5)*x^4 + 64*(7*b^3*c^3 + 12*a*b*c^4)*x^3 + 16*(7*b^4*c^2 + 28*a*b^2*c^3 + 16*a^2*c^4)*x^2 + 16*(b^5*c + 4*a*b^3*c^2 + 16*a^2*b*c^3)*x)/(256*c^12*d^9*x^8 + 1024*b*c^11*d^9*x^7 + 1792*b^2*c^10*d^9*x^6 + 1792*b^3*c^9*d^9*x^5 + 1120*b^4*c^8*d^9*x^4 + 448*b^5*c^7*d^9*x^3 + 112*b^6*c^6*d^9*x^2 + 16*b^7*c^5*d^9*x + b^8*c^4*d^9)","B",0
1151,1,280,0,1.632697," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^10,x, algorithm=""maxima"")","-\frac{420 \, c^{6} x^{6} + 1260 \, b c^{5} x^{5} + b^{6} + 6 \, a b^{4} c + 30 \, a^{2} b^{2} c^{2} + 140 \, a^{3} c^{3} + 126 \, {\left(11 \, b^{2} c^{4} + 6 \, a c^{5}\right)} x^{4} + 168 \, {\left(4 \, b^{3} c^{3} + 9 \, a b c^{4}\right)} x^{3} + 36 \, {\left(4 \, b^{4} c^{2} + 24 \, a b^{2} c^{3} + 15 \, a^{2} c^{4}\right)} x^{2} + 18 \, {\left(b^{5} c + 6 \, a b^{3} c^{2} + 30 \, a^{2} b c^{3}\right)} x}{2520 \, {\left(512 \, c^{13} d^{10} x^{9} + 2304 \, b c^{12} d^{10} x^{8} + 4608 \, b^{2} c^{11} d^{10} x^{7} + 5376 \, b^{3} c^{10} d^{10} x^{6} + 4032 \, b^{4} c^{9} d^{10} x^{5} + 2016 \, b^{5} c^{8} d^{10} x^{4} + 672 \, b^{6} c^{7} d^{10} x^{3} + 144 \, b^{7} c^{6} d^{10} x^{2} + 18 \, b^{8} c^{5} d^{10} x + b^{9} c^{4} d^{10}\right)}}"," ",0,"-1/2520*(420*c^6*x^6 + 1260*b*c^5*x^5 + b^6 + 6*a*b^4*c + 30*a^2*b^2*c^2 + 140*a^3*c^3 + 126*(11*b^2*c^4 + 6*a*c^5)*x^4 + 168*(4*b^3*c^3 + 9*a*b*c^4)*x^3 + 36*(4*b^4*c^2 + 24*a*b^2*c^3 + 15*a^2*c^4)*x^2 + 18*(b^5*c + 6*a*b^3*c^2 + 30*a^2*b*c^3)*x)/(512*c^13*d^10*x^9 + 2304*b*c^12*d^10*x^8 + 4608*b^2*c^11*d^10*x^7 + 5376*b^3*c^10*d^10*x^6 + 4032*b^4*c^9*d^10*x^5 + 2016*b^5*c^8*d^10*x^4 + 672*b^6*c^7*d^10*x^3 + 144*b^7*c^6*d^10*x^2 + 18*b^8*c^5*d^10*x + b^9*c^4*d^10)","B",0
1152,1,294,0,1.660829," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^11,x, algorithm=""maxima"")","-\frac{640 \, c^{6} x^{6} + 1920 \, b c^{5} x^{5} + b^{6} + 8 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} + 256 \, a^{3} c^{3} + 160 \, {\left(13 \, b^{2} c^{4} + 8 \, a c^{5}\right)} x^{4} + 320 \, {\left(3 \, b^{3} c^{3} + 8 \, a b c^{4}\right)} x^{3} + 60 \, {\left(3 \, b^{4} c^{2} + 24 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{2} + 20 \, {\left(b^{5} c + 8 \, a b^{3} c^{2} + 48 \, a^{2} b c^{3}\right)} x}{5120 \, {\left(1024 \, c^{14} d^{11} x^{10} + 5120 \, b c^{13} d^{11} x^{9} + 11520 \, b^{2} c^{12} d^{11} x^{8} + 15360 \, b^{3} c^{11} d^{11} x^{7} + 13440 \, b^{4} c^{10} d^{11} x^{6} + 8064 \, b^{5} c^{9} d^{11} x^{5} + 3360 \, b^{6} c^{8} d^{11} x^{4} + 960 \, b^{7} c^{7} d^{11} x^{3} + 180 \, b^{8} c^{6} d^{11} x^{2} + 20 \, b^{9} c^{5} d^{11} x + b^{10} c^{4} d^{11}\right)}}"," ",0,"-1/5120*(640*c^6*x^6 + 1920*b*c^5*x^5 + b^6 + 8*a*b^4*c + 48*a^2*b^2*c^2 + 256*a^3*c^3 + 160*(13*b^2*c^4 + 8*a*c^5)*x^4 + 320*(3*b^3*c^3 + 8*a*b*c^4)*x^3 + 60*(3*b^4*c^2 + 24*a*b^2*c^3 + 16*a^2*c^4)*x^2 + 20*(b^5*c + 8*a*b^3*c^2 + 48*a^2*b*c^3)*x)/(1024*c^14*d^11*x^10 + 5120*b*c^13*d^11*x^9 + 11520*b^2*c^12*d^11*x^8 + 15360*b^3*c^11*d^11*x^7 + 13440*b^4*c^10*d^11*x^6 + 8064*b^5*c^9*d^11*x^5 + 3360*b^6*c^8*d^11*x^4 + 960*b^7*c^7*d^11*x^3 + 180*b^8*c^6*d^11*x^2 + 20*b^9*c^5*d^11*x + b^10*c^4*d^11)","B",0
1153,1,306,0,1.699069," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^12,x, algorithm=""maxima"")","-\frac{924 \, c^{6} x^{6} + 2772 \, b c^{5} x^{5} + b^{6} + 10 \, a b^{4} c + 70 \, a^{2} b^{2} c^{2} + 420 \, a^{3} c^{3} + 990 \, {\left(3 \, b^{2} c^{4} + 2 \, a c^{5}\right)} x^{4} + 1320 \, {\left(b^{3} c^{3} + 3 \, a b c^{4}\right)} x^{3} + 220 \, {\left(b^{4} c^{2} + 10 \, a b^{2} c^{3} + 7 \, a^{2} c^{4}\right)} x^{2} + 22 \, {\left(b^{5} c + 10 \, a b^{3} c^{2} + 70 \, a^{2} b c^{3}\right)} x}{9240 \, {\left(2048 \, c^{15} d^{12} x^{11} + 11264 \, b c^{14} d^{12} x^{10} + 28160 \, b^{2} c^{13} d^{12} x^{9} + 42240 \, b^{3} c^{12} d^{12} x^{8} + 42240 \, b^{4} c^{11} d^{12} x^{7} + 29568 \, b^{5} c^{10} d^{12} x^{6} + 14784 \, b^{6} c^{9} d^{12} x^{5} + 5280 \, b^{7} c^{8} d^{12} x^{4} + 1320 \, b^{8} c^{7} d^{12} x^{3} + 220 \, b^{9} c^{6} d^{12} x^{2} + 22 \, b^{10} c^{5} d^{12} x + b^{11} c^{4} d^{12}\right)}}"," ",0,"-1/9240*(924*c^6*x^6 + 2772*b*c^5*x^5 + b^6 + 10*a*b^4*c + 70*a^2*b^2*c^2 + 420*a^3*c^3 + 990*(3*b^2*c^4 + 2*a*c^5)*x^4 + 1320*(b^3*c^3 + 3*a*b*c^4)*x^3 + 220*(b^4*c^2 + 10*a*b^2*c^3 + 7*a^2*c^4)*x^2 + 22*(b^5*c + 10*a*b^3*c^2 + 70*a^2*b*c^3)*x)/(2048*c^15*d^12*x^11 + 11264*b*c^14*d^12*x^10 + 28160*b^2*c^13*d^12*x^9 + 42240*b^3*c^12*d^12*x^8 + 42240*b^4*c^11*d^12*x^7 + 29568*b^5*c^10*d^12*x^6 + 14784*b^6*c^9*d^12*x^5 + 5280*b^7*c^8*d^12*x^4 + 1320*b^8*c^7*d^12*x^3 + 220*b^9*c^6*d^12*x^2 + 22*b^10*c^5*d^12*x + b^11*c^4*d^12)","B",0
1154,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^8/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1155,1,181,0,1.354473," ","integrate((2*c*d*x+b*d)^7/(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{64}{3} \, c^{6} d^{7} x^{6} + 64 \, b c^{5} d^{7} x^{5} + 8 \, {\left(11 \, b^{2} c^{4} - 4 \, a c^{5}\right)} d^{7} x^{4} + \frac{16}{3} \, {\left(13 \, b^{3} c^{3} - 12 \, a b c^{4}\right)} d^{7} x^{3} + 4 \, {\left(9 \, b^{4} c^{2} - 20 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} d^{7} x^{2} + 4 \, {\left(3 \, b^{5} c - 12 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} d^{7} x + {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d^{7} \log\left(c x^{2} + b x + a\right)"," ",0,"64/3*c^6*d^7*x^6 + 64*b*c^5*d^7*x^5 + 8*(11*b^2*c^4 - 4*a*c^5)*d^7*x^4 + 16/3*(13*b^3*c^3 - 12*a*b*c^4)*d^7*x^3 + 4*(9*b^4*c^2 - 20*a*b^2*c^3 + 16*a^2*c^4)*d^7*x^2 + 4*(3*b^5*c - 12*a*b^3*c^2 + 16*a^2*b*c^3)*d^7*x + (b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d^7*log(c*x^2 + b*x + a)","B",0
1156,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^6/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1157,1,99,0,1.377563," ","integrate((2*c*d*x+b*d)^5/(c*x^2+b*x+a),x, algorithm=""maxima"")","8 \, c^{4} d^{5} x^{4} + 16 \, b c^{3} d^{5} x^{3} + 16 \, {\left(b^{2} c^{2} - a c^{3}\right)} d^{5} x^{2} + 8 \, {\left(b^{3} c - 2 \, a b c^{2}\right)} d^{5} x + {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} d^{5} \log\left(c x^{2} + b x + a\right)"," ",0,"8*c^4*d^5*x^4 + 16*b*c^3*d^5*x^3 + 16*(b^2*c^2 - a*c^3)*d^5*x^2 + 8*(b^3*c - 2*a*b*c^2)*d^5*x + (b^4 - 8*a*b^2*c + 16*a^2*c^2)*d^5*log(c*x^2 + b*x + a)","A",0
1158,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1159,1,43,0,1.395801," ","integrate((2*c*d*x+b*d)^3/(c*x^2+b*x+a),x, algorithm=""maxima"")","4 \, c^{2} d^{3} x^{2} + 4 \, b c d^{3} x + {\left(b^{2} - 4 \, a c\right)} d^{3} \log\left(c x^{2} + b x + a\right)"," ",0,"4*c^2*d^3*x^2 + 4*b*c*d^3*x + (b^2 - 4*a*c)*d^3*log(c*x^2 + b*x + a)","A",0
1160,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1161,1,13,0,1.303212," ","integrate((2*c*d*x+b*d)/(c*x^2+b*x+a),x, algorithm=""maxima"")","d \log\left(c x^{2} + b x + a\right)"," ",0,"d*log(c*x^2 + b*x + a)","A",0
1162,1,48,0,1.331781," ","integrate(1/(2*c*d*x+b*d)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\log\left(c x^{2} + b x + a\right)}{{\left(b^{2} - 4 \, a c\right)} d} - \frac{2 \, \log\left(2 \, c x + b\right)}{{\left(b^{2} - 4 \, a c\right)} d}"," ",0,"log(c*x^2 + b*x + a)/((b^2 - 4*a*c)*d) - 2*log(2*c*x + b)/((b^2 - 4*a*c)*d)","A",0
1163,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1164,1,129,0,1.363142," ","integrate(1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{4 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} d^{3} x^{2} + 4 \, {\left(b^{3} c - 4 \, a b c^{2}\right)} d^{3} x + {\left(b^{4} - 4 \, a b^{2} c\right)} d^{3}} + \frac{\log\left(c x^{2} + b x + a\right)}{{\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} d^{3}} - \frac{2 \, \log\left(2 \, c x + b\right)}{{\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} d^{3}}"," ",0,"1/(4*(b^2*c^2 - 4*a*c^3)*d^3*x^2 + 4*(b^3*c - 4*a*b*c^2)*d^3*x + (b^4 - 4*a*b^2*c)*d^3) + log(c*x^2 + b*x + a)/((b^4 - 8*a*b^2*c + 16*a^2*c^2)*d^3) - 2*log(2*c*x + b)/((b^4 - 8*a*b^2*c + 16*a^2*c^2)*d^3)","A",0
1165,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^4/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1166,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^8/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1167,1,155,0,1.374509," ","integrate((2*c*d*x+b*d)^7/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","32 \, c^{5} d^{7} x^{4} + 64 \, b c^{4} d^{7} x^{3} + 16 \, {\left(5 \, b^{2} c^{3} - 8 \, a c^{4}\right)} d^{7} x^{2} + 16 \, {\left(3 \, b^{3} c^{2} - 8 \, a b c^{3}\right)} d^{7} x + 12 \, {\left(b^{4} c - 8 \, a b^{2} c^{2} + 16 \, a^{2} c^{3}\right)} d^{7} \log\left(c x^{2} + b x + a\right) - \frac{{\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d^{7}}{c x^{2} + b x + a}"," ",0,"32*c^5*d^7*x^4 + 64*b*c^4*d^7*x^3 + 16*(5*b^2*c^3 - 8*a*c^4)*d^7*x^2 + 16*(3*b^3*c^2 - 8*a*b*c^3)*d^7*x + 12*(b^4*c - 8*a*b^2*c^2 + 16*a^2*c^3)*d^7*log(c*x^2 + b*x + a) - (b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d^7/(c*x^2 + b*x + a)","A",0
1168,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^6/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1169,1,86,0,1.338727," ","integrate((2*c*d*x+b*d)^5/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","16 \, c^{3} d^{5} x^{2} + 16 \, b c^{2} d^{5} x + 8 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{5} \log\left(c x^{2} + b x + a\right) - \frac{{\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} d^{5}}{c x^{2} + b x + a}"," ",0,"16*c^3*d^5*x^2 + 16*b*c^2*d^5*x + 8*(b^2*c - 4*a*c^2)*d^5*log(c*x^2 + b*x + a) - (b^4 - 8*a*b^2*c + 16*a^2*c^2)*d^5/(c*x^2 + b*x + a)","A",0
1170,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1171,1,43,0,1.382080," ","integrate((2*c*d*x+b*d)^3/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","4 \, c d^{3} \log\left(c x^{2} + b x + a\right) - \frac{{\left(b^{2} - 4 \, a c\right)} d^{3}}{c x^{2} + b x + a}"," ",0,"4*c*d^3*log(c*x^2 + b*x + a) - (b^2 - 4*a*c)*d^3/(c*x^2 + b*x + a)","A",0
1172,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1173,1,15,0,1.362568," ","integrate((2*c*d*x+b*d)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{d}{c x^{2} + b x + a}"," ",0,"-d/(c*x^2 + b*x + a)","A",0
1174,1,121,0,1.449409," ","integrate(1/(2*c*d*x+b*d)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{4 \, c \log\left(c x^{2} + b x + a\right)}{{\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} d} + \frac{8 \, c \log\left(2 \, c x + b\right)}{{\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} d} - \frac{1}{{\left(b^{2} c - 4 \, a c^{2}\right)} d x^{2} + {\left(b^{3} - 4 \, a b c\right)} d x + {\left(a b^{2} - 4 \, a^{2} c\right)} d}"," ",0,"-4*c*log(c*x^2 + b*x + a)/((b^4 - 8*a*b^2*c + 16*a^2*c^2)*d) + 8*c*log(2*c*x + b)/((b^4 - 8*a*b^2*c + 16*a^2*c^2)*d) - 1/((b^2*c - 4*a*c^2)*d*x^2 + (b^3 - 4*a*b*c)*d*x + (a*b^2 - 4*a^2*c)*d)","A",0
1175,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1176,1,296,0,1.616395," ","integrate(1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{8 \, c^{2} x^{2} + 8 \, b c x + b^{2} + 4 \, a c}{4 \, {\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} d^{3} x^{4} + 8 \, {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} d^{3} x^{3} + {\left(5 \, b^{6} c - 36 \, a b^{4} c^{2} + 48 \, a^{2} b^{2} c^{3} + 64 \, a^{3} c^{4}\right)} d^{3} x^{2} + {\left(b^{7} - 4 \, a b^{5} c - 16 \, a^{2} b^{3} c^{2} + 64 \, a^{3} b c^{3}\right)} d^{3} x + {\left(a b^{6} - 8 \, a^{2} b^{4} c + 16 \, a^{3} b^{2} c^{2}\right)} d^{3}} - \frac{8 \, c \log\left(c x^{2} + b x + a\right)}{{\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d^{3}} + \frac{16 \, c \log\left(2 \, c x + b\right)}{{\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d^{3}}"," ",0,"-(8*c^2*x^2 + 8*b*c*x + b^2 + 4*a*c)/(4*(b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*d^3*x^4 + 8*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*d^3*x^3 + (5*b^6*c - 36*a*b^4*c^2 + 48*a^2*b^2*c^3 + 64*a^3*c^4)*d^3*x^2 + (b^7 - 4*a*b^5*c - 16*a^2*b^3*c^2 + 64*a^3*b*c^3)*d^3*x + (a*b^6 - 8*a^2*b^4*c + 16*a^3*b^2*c^2)*d^3) - 8*c*log(c*x^2 + b*x + a)/((b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d^3) + 16*c*log(2*c*x + b)/((b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d^3)","B",0
1177,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^10/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1178,1,278,0,1.532521," ","integrate((2*c*d*x+b*d)^9/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","128 \, c^{6} d^{9} x^{4} + 256 \, b c^{5} d^{9} x^{3} + 384 \, {\left(b^{2} c^{4} - 2 \, a c^{5}\right)} d^{9} x^{2} + 256 \, {\left(b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{9} x + 96 \, {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} d^{9} \log\left(c x^{2} + b x + a\right) - \frac{32 \, {\left(b^{6} c^{2} - 12 \, a b^{4} c^{3} + 48 \, a^{2} b^{2} c^{4} - 64 \, a^{3} c^{5}\right)} d^{9} x^{2} + 32 \, {\left(b^{7} c - 12 \, a b^{5} c^{2} + 48 \, a^{2} b^{3} c^{3} - 64 \, a^{3} b c^{4}\right)} d^{9} x + {\left(b^{8} + 16 \, a b^{6} c - 288 \, a^{2} b^{4} c^{2} + 1280 \, a^{3} b^{2} c^{3} - 1792 \, a^{4} c^{4}\right)} d^{9}}{2 \, {\left(c^{2} x^{4} + 2 \, b c x^{3} + 2 \, a b x + {\left(b^{2} + 2 \, a c\right)} x^{2} + a^{2}\right)}}"," ",0,"128*c^6*d^9*x^4 + 256*b*c^5*d^9*x^3 + 384*(b^2*c^4 - 2*a*c^5)*d^9*x^2 + 256*(b^3*c^3 - 3*a*b*c^4)*d^9*x + 96*(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*d^9*log(c*x^2 + b*x + a) - 1/2*(32*(b^6*c^2 - 12*a*b^4*c^3 + 48*a^2*b^2*c^4 - 64*a^3*c^5)*d^9*x^2 + 32*(b^7*c - 12*a*b^5*c^2 + 48*a^2*b^3*c^3 - 64*a^3*b*c^4)*d^9*x + (b^8 + 16*a*b^6*c - 288*a^2*b^4*c^2 + 1280*a^3*b^2*c^3 - 1792*a^4*c^4)*d^9)/(c^2*x^4 + 2*b*c*x^3 + 2*a*b*x + (b^2 + 2*a*c)*x^2 + a^2)","B",0
1179,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^8/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1180,1,189,0,1.410250," ","integrate((2*c*d*x+b*d)^7/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","64 \, c^{4} d^{7} x^{2} + 64 \, b c^{3} d^{7} x + 48 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} d^{7} \log\left(c x^{2} + b x + a\right) - \frac{24 \, {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} d^{7} x^{2} + 24 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} d^{7} x + {\left(b^{6} + 12 \, a b^{4} c - 144 \, a^{2} b^{2} c^{2} + 320 \, a^{3} c^{3}\right)} d^{7}}{2 \, {\left(c^{2} x^{4} + 2 \, b c x^{3} + 2 \, a b x + {\left(b^{2} + 2 \, a c\right)} x^{2} + a^{2}\right)}}"," ",0,"64*c^4*d^7*x^2 + 64*b*c^3*d^7*x + 48*(b^2*c^2 - 4*a*c^3)*d^7*log(c*x^2 + b*x + a) - 1/2*(24*(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*d^7*x^2 + 24*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*d^7*x + (b^6 + 12*a*b^4*c - 144*a^2*b^2*c^2 + 320*a^3*c^3)*d^7)/(c^2*x^4 + 2*b*c*x^3 + 2*a*b*x + (b^2 + 2*a*c)*x^2 + a^2)","A",0
1181,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^6/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1182,1,124,0,1.522750," ","integrate((2*c*d*x+b*d)^5/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","16 \, c^{2} d^{5} \log\left(c x^{2} + b x + a\right) - \frac{16 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} d^{5} x^{2} + 16 \, {\left(b^{3} c - 4 \, a b c^{2}\right)} d^{5} x + {\left(b^{4} + 8 \, a b^{2} c - 48 \, a^{2} c^{2}\right)} d^{5}}{2 \, {\left(c^{2} x^{4} + 2 \, b c x^{3} + 2 \, a b x + {\left(b^{2} + 2 \, a c\right)} x^{2} + a^{2}\right)}}"," ",0,"16*c^2*d^5*log(c*x^2 + b*x + a) - 1/2*(16*(b^2*c^2 - 4*a*c^3)*d^5*x^2 + 16*(b^3*c - 4*a*b*c^2)*d^5*x + (b^4 + 8*a*b^2*c - 48*a^2*c^2)*d^5)/(c^2*x^4 + 2*b*c*x^3 + 2*a*b*x + (b^2 + 2*a*c)*x^2 + a^2)","A",0
1183,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1184,1,71,0,1.419803," ","integrate((2*c*d*x+b*d)^3/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","-\frac{8 \, c^{2} d^{3} x^{2} + 8 \, b c d^{3} x + {\left(b^{2} + 4 \, a c\right)} d^{3}}{2 \, {\left(c^{2} x^{4} + 2 \, b c x^{3} + 2 \, a b x + {\left(b^{2} + 2 \, a c\right)} x^{2} + a^{2}\right)}}"," ",0,"-1/2*(8*c^2*d^3*x^2 + 8*b*c*d^3*x + (b^2 + 4*a*c)*d^3)/(c^2*x^4 + 2*b*c*x^3 + 2*a*b*x + (b^2 + 2*a*c)*x^2 + a^2)","B",0
1185,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1186,1,15,0,1.309125," ","integrate((2*c*d*x+b*d)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","-\frac{d}{2 \, {\left(c x^{2} + b x + a\right)}^{2}}"," ",0,"-1/2*d/(c*x^2 + b*x + a)^2","A",0
1187,1,266,0,1.600666," ","integrate(1/(2*c*d*x+b*d)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{16 \, c^{2} \log\left(c x^{2} + b x + a\right)}{{\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d} - \frac{32 \, c^{2} \log\left(2 \, c x + b\right)}{{\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d} + \frac{8 \, c^{2} x^{2} + 8 \, b c x - b^{2} + 12 \, a c}{2 \, {\left({\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} d x^{4} + 2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} d x^{3} + {\left(b^{6} - 6 \, a b^{4} c + 32 \, a^{3} c^{3}\right)} d x^{2} + 2 \, {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} d x + {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)} d\right)}}"," ",0,"16*c^2*log(c*x^2 + b*x + a)/((b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d) - 32*c^2*log(2*c*x + b)/((b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d) + 1/2*(8*c^2*x^2 + 8*b*c*x - b^2 + 12*a*c)/((b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*d*x^4 + 2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*d*x^3 + (b^6 - 6*a*b^4*c + 32*a^3*c^3)*d*x^2 + 2*(a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*d*x + (a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)*d)","B",0
1188,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1189,1,553,0,1.638489," ","integrate(1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{96 \, c^{4} x^{4} + 192 \, b c^{3} x^{3} - b^{4} + 20 \, a b^{2} c + 32 \, a^{2} c^{2} + 36 \, {\left(3 \, b^{2} c^{2} + 4 \, a c^{3}\right)} x^{2} + 12 \, {\left(b^{3} c + 12 \, a b c^{2}\right)} x}{2 \, {\left(4 \, {\left(b^{6} c^{4} - 12 \, a b^{4} c^{5} + 48 \, a^{2} b^{2} c^{6} - 64 \, a^{3} c^{7}\right)} d^{3} x^{6} + 12 \, {\left(b^{7} c^{3} - 12 \, a b^{5} c^{4} + 48 \, a^{2} b^{3} c^{5} - 64 \, a^{3} b c^{6}\right)} d^{3} x^{5} + {\left(13 \, b^{8} c^{2} - 148 \, a b^{6} c^{3} + 528 \, a^{2} b^{4} c^{4} - 448 \, a^{3} b^{2} c^{5} - 512 \, a^{4} c^{6}\right)} d^{3} x^{4} + 2 \, {\left(3 \, b^{9} c - 28 \, a b^{7} c^{2} + 48 \, a^{2} b^{5} c^{3} + 192 \, a^{3} b^{3} c^{4} - 512 \, a^{4} b c^{5}\right)} d^{3} x^{3} + {\left(b^{10} - 2 \, a b^{8} c - 68 \, a^{2} b^{6} c^{2} + 368 \, a^{3} b^{4} c^{3} - 448 \, a^{4} b^{2} c^{4} - 256 \, a^{5} c^{5}\right)} d^{3} x^{2} + 2 \, {\left(a b^{9} - 10 \, a^{2} b^{7} c + 24 \, a^{3} b^{5} c^{2} + 32 \, a^{4} b^{3} c^{3} - 128 \, a^{5} b c^{4}\right)} d^{3} x + {\left(a^{2} b^{8} - 12 \, a^{3} b^{6} c + 48 \, a^{4} b^{4} c^{2} - 64 \, a^{5} b^{2} c^{3}\right)} d^{3}\right)}} + \frac{48 \, c^{2} \log\left(c x^{2} + b x + a\right)}{{\left(b^{8} - 16 \, a b^{6} c + 96 \, a^{2} b^{4} c^{2} - 256 \, a^{3} b^{2} c^{3} + 256 \, a^{4} c^{4}\right)} d^{3}} - \frac{96 \, c^{2} \log\left(2 \, c x + b\right)}{{\left(b^{8} - 16 \, a b^{6} c + 96 \, a^{2} b^{4} c^{2} - 256 \, a^{3} b^{2} c^{3} + 256 \, a^{4} c^{4}\right)} d^{3}}"," ",0,"1/2*(96*c^4*x^4 + 192*b*c^3*x^3 - b^4 + 20*a*b^2*c + 32*a^2*c^2 + 36*(3*b^2*c^2 + 4*a*c^3)*x^2 + 12*(b^3*c + 12*a*b*c^2)*x)/(4*(b^6*c^4 - 12*a*b^4*c^5 + 48*a^2*b^2*c^6 - 64*a^3*c^7)*d^3*x^6 + 12*(b^7*c^3 - 12*a*b^5*c^4 + 48*a^2*b^3*c^5 - 64*a^3*b*c^6)*d^3*x^5 + (13*b^8*c^2 - 148*a*b^6*c^3 + 528*a^2*b^4*c^4 - 448*a^3*b^2*c^5 - 512*a^4*c^6)*d^3*x^4 + 2*(3*b^9*c - 28*a*b^7*c^2 + 48*a^2*b^5*c^3 + 192*a^3*b^3*c^4 - 512*a^4*b*c^5)*d^3*x^3 + (b^10 - 2*a*b^8*c - 68*a^2*b^6*c^2 + 368*a^3*b^4*c^3 - 448*a^4*b^2*c^4 - 256*a^5*c^5)*d^3*x^2 + 2*(a*b^9 - 10*a^2*b^7*c + 24*a^3*b^5*c^2 + 32*a^4*b^3*c^3 - 128*a^5*b*c^4)*d^3*x + (a^2*b^8 - 12*a^3*b^6*c + 48*a^4*b^4*c^2 - 64*a^5*b^2*c^3)*d^3) + 48*c^2*log(c*x^2 + b*x + a)/((b^8 - 16*a*b^6*c + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 + 256*a^4*c^4)*d^3) - 96*c^2*log(2*c*x + b)/((b^8 - 16*a*b^6*c + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 + 256*a^4*c^4)*d^3)","B",0
1190,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
1191,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1192,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^3*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1193,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1194,1,15,0,1.300806," ","integrate((2*c*d*x+b*d)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} d"," ",0,"2/3*(c*x^2 + b*x + a)^(3/2)*d","A",0
1195,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1196,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1197,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1198,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1199,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1200,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1201,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^7,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1202,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^5*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1203,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1204,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^3*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1205,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1206,1,15,0,1.350293," ","integrate((2*c*d*x+b*d)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} d"," ",0,"2/5*(c*x^2 + b*x + a)^(5/2)*d","A",0
1207,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1208,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1209,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1210,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1211,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1212,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1213,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^7,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1214,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^8,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1215,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^9,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1216,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^10,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1217,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^5*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1218,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1219,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^3*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1220,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1221,1,15,0,1.357739," ","integrate((2*c*d*x+b*d)*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2}{7} \, {\left(c x^{2} + b x + a\right)}^{\frac{7}{2}} d"," ",0,"2/7*(c*x^2 + b*x + a)^(7/2)*d","A",0
1222,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1223,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1224,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1225,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1226,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1227,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1228,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^7,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1229,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^8,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1230,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^9,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1231,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^10,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1232,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^11,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1233,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^12,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1234,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1235,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1236,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1237,1,15,0,1.281496," ","integrate((2*c*d*x+b*d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{c x^{2} + b x + a} d"," ",0,"2*sqrt(c*x^2 + b*x + a)*d","A",0
1238,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1239,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1240,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1241,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1242,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1243,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1244,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1245,1,15,0,1.321357," ","integrate((2*c*d*x+b*d)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, d}{\sqrt{c x^{2} + b x + a}}"," ",0,"-2*d/sqrt(c*x^2 + b*x + a)","A",0
1246,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1247,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1248,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1249,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1250,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^6/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1251,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^5/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1252,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1253,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1254,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
1255,1,15,0,1.365811," ","integrate((2*c*d*x+b*d)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, d}{3 \, {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}"," ",0,"-2/3*d/(c*x^2 + b*x + a)^(3/2)","A",0
1256,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1257,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1258,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1259,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1260,1,14,0,2.933029," ","integrate(1/(b*x+a)/(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\operatorname{arsinh}\left(\frac{1}{{\left| b x + a \right|}}\right)}{b}"," ",0,"-arcsinh(1/abs(b*x + a))/b","A",0
1261,1,46,0,1.352145," ","integrate((2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{11 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - 7 \, {\left(2 \, c d x + b d\right)}^{\frac{11}{2}}}{308 \, c^{2} d^{3}}"," ",0,"-1/308*(11*(2*c*d*x + b*d)^(7/2)*(b^2 - 4*a*c)*d^2 - 7*(2*c*d*x + b*d)^(11/2))/(c^2*d^3)","A",0
1262,1,46,0,1.361822," ","integrate((2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{9 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - 5 \, {\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}{180 \, c^{2} d^{3}}"," ",0,"-1/180*(9*(2*c*d*x + b*d)^(5/2)*(b^2 - 4*a*c)*d^2 - 5*(2*c*d*x + b*d)^(9/2))/(c^2*d^3)","A",0
1263,1,46,0,1.386464," ","integrate((2*c*d*x+b*d)^(1/2)*(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{7 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - 3 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}}}{84 \, c^{2} d^{3}}"," ",0,"-1/84*(7*(2*c*d*x + b*d)^(3/2)*(b^2 - 4*a*c)*d^2 - 3*(2*c*d*x + b*d)^(7/2))/(c^2*d^3)","A",0
1264,1,116,0,1.357129," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^(1/2),x, algorithm=""maxima"")","\frac{60 \, \sqrt{2 \, c d x + b d} a - \frac{10 \, {\left(3 \, \sqrt{2 \, c d x + b d} b d - {\left(2 \, c d x + b d\right)}^{\frac{3}{2}}\right)} b}{c d} + \frac{15 \, \sqrt{2 \, c d x + b d} b^{2} d^{2} - 10 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b d + 3 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}}}{c d^{2}}}{60 \, c d}"," ",0,"1/60*(60*sqrt(2*c*d*x + b*d)*a - 10*(3*sqrt(2*c*d*x + b*d)*b*d - (2*c*d*x + b*d)^(3/2))*b/(c*d) + (15*sqrt(2*c*d*x + b*d)*b^2*d^2 - 10*(2*c*d*x + b*d)^(3/2)*b*d + 3*(2*c*d*x + b*d)^(5/2))/(c*d^2))/(c*d)","B",0
1265,1,51,0,1.359213," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^(3/2),x, algorithm=""maxima"")","\frac{\frac{3 \, {\left(b^{2} - 4 \, a c\right)}}{\sqrt{2 \, c d x + b d} c} + \frac{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}}}{c d^{2}}}{12 \, c d}"," ",0,"1/12*(3*(b^2 - 4*a*c)/(sqrt(2*c*d*x + b*d)*c) + (2*c*d*x + b*d)^(3/2)/(c*d^2))/(c*d)","A",0
1266,1,51,0,1.395452," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^(5/2),x, algorithm=""maxima"")","\frac{\frac{b^{2} - 4 \, a c}{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}} c} + \frac{3 \, \sqrt{2 \, c d x + b d}}{c d^{2}}}{12 \, c d}"," ",0,"1/12*((b^2 - 4*a*c)/((2*c*d*x + b*d)^(3/2)*c) + 3*sqrt(2*c*d*x + b*d)/(c*d^2))/(c*d)","A",0
1267,1,45,0,1.423625," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^(7/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} - 4 \, a c\right)} d^{2} - 5 \, {\left(2 \, c d x + b d\right)}^{2}}{20 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} c^{2} d^{3}}"," ",0,"1/20*((b^2 - 4*a*c)*d^2 - 5*(2*c*d*x + b*d)^2)/((2*c*d*x + b*d)^(5/2)*c^2*d^3)","A",0
1268,1,46,0,1.409090," ","integrate((c*x^2+b*x+a)/(2*c*d*x+b*d)^(9/2),x, algorithm=""maxima"")","\frac{3 \, {\left(b^{2} - 4 \, a c\right)} d^{2} - 7 \, {\left(2 \, c d x + b d\right)}^{2}}{84 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} c^{2} d^{3}}"," ",0,"1/84*(3*(b^2 - 4*a*c)*d^2 - 7*(2*c*d*x + b*d)^2)/((2*c*d*x + b*d)^(7/2)*c^2*d^3)","A",0
1269,1,81,0,1.463073," ","integrate((2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{130 \, {\left(2 \, c d x + b d\right)}^{\frac{9}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - 117 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} d^{4} - 45 \, {\left(2 \, c d x + b d\right)}^{\frac{13}{2}}}{9360 \, c^{3} d^{5}}"," ",0,"-1/9360*(130*(2*c*d*x + b*d)^(9/2)*(b^2 - 4*a*c)*d^2 - 117*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*(2*c*d*x + b*d)^(5/2)*d^4 - 45*(2*c*d*x + b*d)^(13/2))/(c^3*d^5)","A",0
1270,1,81,0,1.405437," ","integrate((2*c*d*x+b*d)^(1/2)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{66 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - 77 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} d^{4} - 21 \, {\left(2 \, c d x + b d\right)}^{\frac{11}{2}}}{3696 \, c^{3} d^{5}}"," ",0,"-1/3696*(66*(2*c*d*x + b*d)^(7/2)*(b^2 - 4*a*c)*d^2 - 77*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*(2*c*d*x + b*d)^(3/2)*d^4 - 21*(2*c*d*x + b*d)^(11/2))/(c^3*d^5)","A",0
1271,1,351,0,1.467348," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(1/2),x, algorithm=""maxima"")","\frac{5040 \, \sqrt{2 \, c d x + b d} a^{2} - 168 \, a {\left(\frac{10 \, {\left(3 \, \sqrt{2 \, c d x + b d} b d - {\left(2 \, c d x + b d\right)}^{\frac{3}{2}}\right)} b}{c d} - \frac{15 \, \sqrt{2 \, c d x + b d} b^{2} d^{2} - 10 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b d + 3 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}}}{c d^{2}}\right)} + \frac{84 \, {\left(15 \, \sqrt{2 \, c d x + b d} b^{2} d^{2} - 10 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b d + 3 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}}\right)} b^{2}}{c^{2} d^{2}} - \frac{36 \, {\left(35 \, \sqrt{2 \, c d x + b d} b^{3} d^{3} - 35 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b^{2} d^{2} + 21 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} b d - 5 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}}\right)} b}{c^{2} d^{3}} + \frac{315 \, \sqrt{2 \, c d x + b d} b^{4} d^{4} - 420 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b^{3} d^{3} + 378 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} b^{2} d^{2} - 180 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} b d + 35 \, {\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}{c^{2} d^{4}}}{5040 \, c d}"," ",0,"1/5040*(5040*sqrt(2*c*d*x + b*d)*a^2 - 168*a*(10*(3*sqrt(2*c*d*x + b*d)*b*d - (2*c*d*x + b*d)^(3/2))*b/(c*d) - (15*sqrt(2*c*d*x + b*d)*b^2*d^2 - 10*(2*c*d*x + b*d)^(3/2)*b*d + 3*(2*c*d*x + b*d)^(5/2))/(c*d^2)) + 84*(15*sqrt(2*c*d*x + b*d)*b^2*d^2 - 10*(2*c*d*x + b*d)^(3/2)*b*d + 3*(2*c*d*x + b*d)^(5/2))*b^2/(c^2*d^2) - 36*(35*sqrt(2*c*d*x + b*d)*b^3*d^3 - 35*(2*c*d*x + b*d)^(3/2)*b^2*d^2 + 21*(2*c*d*x + b*d)^(5/2)*b*d - 5*(2*c*d*x + b*d)^(7/2))*b/(c^2*d^3) + (315*sqrt(2*c*d*x + b*d)*b^4*d^4 - 420*(2*c*d*x + b*d)^(3/2)*b^3*d^3 + 378*(2*c*d*x + b*d)^(5/2)*b^2*d^2 - 180*(2*c*d*x + b*d)^(7/2)*b*d + 35*(2*c*d*x + b*d)^(9/2))/(c^2*d^4))/(c*d)","B",0
1272,1,89,0,1.399373," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{21 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)}}{\sqrt{2 \, c d x + b d} c^{2}} + \frac{14 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - 3 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}}}{c^{2} d^{4}}}{336 \, c d}"," ",0,"-1/336*(21*(b^4 - 8*a*b^2*c + 16*a^2*c^2)/(sqrt(2*c*d*x + b*d)*c^2) + (14*(2*c*d*x + b*d)^(3/2)*(b^2 - 4*a*c)*d^2 - 3*(2*c*d*x + b*d)^(7/2))/(c^2*d^4))/(c*d)","A",0
1273,1,90,0,1.383883," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(5/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)}}{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}} c^{2}} + \frac{3 \, {\left(10 \, \sqrt{2 \, c d x + b d} {\left(b^{2} - 4 \, a c\right)} d^{2} - {\left(2 \, c d x + b d\right)}^{\frac{5}{2}}\right)}}{c^{2} d^{4}}}{240 \, c d}"," ",0,"-1/240*(5*(b^4 - 8*a*b^2*c + 16*a^2*c^2)/((2*c*d*x + b*d)^(3/2)*c^2) + 3*(10*sqrt(2*c*d*x + b*d)*(b^2 - 4*a*c)*d^2 - (2*c*d*x + b*d)^(5/2))/(c^2*d^4))/(c*d)","A",0
1274,1,93,0,1.420456," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(7/2),x, algorithm=""maxima"")","\frac{\frac{5 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}}}{c^{2} d^{4}} + \frac{3 \, {\left(10 \, {\left(2 \, c d x + b d\right)}^{2} {\left(b^{2} - 4 \, a c\right)} - {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} d^{2}\right)}}{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}} c^{2} d^{2}}}{240 \, c d}"," ",0,"1/240*(5*(2*c*d*x + b*d)^(3/2)/(c^2*d^4) + 3*(10*(2*c*d*x + b*d)^2*(b^2 - 4*a*c) - (b^4 - 8*a*b^2*c + 16*a^2*c^2)*d^2)/((2*c*d*x + b*d)^(5/2)*c^2*d^2))/(c*d)","A",0
1275,1,92,0,1.304851," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(9/2),x, algorithm=""maxima"")","\frac{\frac{21 \, \sqrt{2 \, c d x + b d}}{c^{2} d^{4}} + \frac{14 \, {\left(2 \, c d x + b d\right)}^{2} {\left(b^{2} - 4 \, a c\right)} - 3 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} d^{2}}{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}} c^{2} d^{2}}}{336 \, c d}"," ",0,"1/336*(21*sqrt(2*c*d*x + b*d)/(c^2*d^4) + (14*(2*c*d*x + b*d)^2*(b^2 - 4*a*c) - 3*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*d^2)/((2*c*d*x + b*d)^(7/2)*c^2*d^2))/(c*d)","A",0
1276,1,81,0,1.316108," ","integrate((c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(11/2),x, algorithm=""maxima"")","\frac{18 \, {\left(2 \, c d x + b d\right)}^{2} {\left(b^{2} - 4 \, a c\right)} d^{2} - 5 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} d^{4} - 45 \, {\left(2 \, c d x + b d\right)}^{4}}{720 \, {\left(2 \, c d x + b d\right)}^{\frac{9}{2}} c^{3} d^{5}}"," ",0,"1/720*(18*(2*c*d*x + b*d)^2*(b^2 - 4*a*c)*d^2 - 5*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*d^4 - 45*(2*c*d*x + b*d)^4)/((2*c*d*x + b*d)^(9/2)*c^3*d^5)","A",0
1277,1,127,0,1.334575," ","integrate((2*c*d*x+b*d)^(1/2)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","-\frac{315 \, {\left(2 \, c d x + b d\right)}^{\frac{11}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - 495 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} d^{4} + 385 \, {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} d^{6} - 77 \, {\left(2 \, c d x + b d\right)}^{\frac{15}{2}}}{73920 \, c^{4} d^{7}}"," ",0,"-1/73920*(315*(2*c*d*x + b*d)^(11/2)*(b^2 - 4*a*c)*d^2 - 495*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*(2*c*d*x + b*d)^(7/2)*d^4 + 385*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*(2*c*d*x + b*d)^(3/2)*d^6 - 77*(2*c*d*x + b*d)^(15/2))/(c^4*d^7)","A",0
1278,1,778,0,1.517241," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(1/2),x, algorithm=""maxima"")","\frac{960960 \, \sqrt{2 \, c d x + b d} a^{3} - 48048 \, a^{2} {\left(\frac{10 \, {\left(3 \, \sqrt{2 \, c d x + b d} b d - {\left(2 \, c d x + b d\right)}^{\frac{3}{2}}\right)} b}{c d} - \frac{15 \, \sqrt{2 \, c d x + b d} b^{2} d^{2} - 10 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b d + 3 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}}}{c d^{2}}\right)} + 572 \, a {\left(\frac{84 \, {\left(15 \, \sqrt{2 \, c d x + b d} b^{2} d^{2} - 10 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b d + 3 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}}\right)} b^{2}}{c^{2} d^{2}} - \frac{36 \, {\left(35 \, \sqrt{2 \, c d x + b d} b^{3} d^{3} - 35 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b^{2} d^{2} + 21 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} b d - 5 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}}\right)} b}{c^{2} d^{3}} + \frac{315 \, \sqrt{2 \, c d x + b d} b^{4} d^{4} - 420 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b^{3} d^{3} + 378 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} b^{2} d^{2} - 180 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} b d + 35 \, {\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}{c^{2} d^{4}}\right)} - \frac{3432 \, {\left(35 \, \sqrt{2 \, c d x + b d} b^{3} d^{3} - 35 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b^{2} d^{2} + 21 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} b d - 5 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}}\right)} b^{3}}{c^{3} d^{3}} + \frac{572 \, {\left(315 \, \sqrt{2 \, c d x + b d} b^{4} d^{4} - 420 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b^{3} d^{3} + 378 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} b^{2} d^{2} - 180 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} b d + 35 \, {\left(2 \, c d x + b d\right)}^{\frac{9}{2}}\right)} b^{2}}{c^{3} d^{4}} - \frac{130 \, {\left(693 \, \sqrt{2 \, c d x + b d} b^{5} d^{5} - 1155 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b^{4} d^{4} + 1386 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} b^{3} d^{3} - 990 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} b^{2} d^{2} + 385 \, {\left(2 \, c d x + b d\right)}^{\frac{9}{2}} b d - 63 \, {\left(2 \, c d x + b d\right)}^{\frac{11}{2}}\right)} b}{c^{3} d^{5}} + \frac{5 \, {\left(3003 \, \sqrt{2 \, c d x + b d} b^{6} d^{6} - 6006 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} b^{5} d^{5} + 9009 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} b^{4} d^{4} - 8580 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} b^{3} d^{3} + 5005 \, {\left(2 \, c d x + b d\right)}^{\frac{9}{2}} b^{2} d^{2} - 1638 \, {\left(2 \, c d x + b d\right)}^{\frac{11}{2}} b d + 231 \, {\left(2 \, c d x + b d\right)}^{\frac{13}{2}}\right)}}{c^{3} d^{6}}}{960960 \, c d}"," ",0,"1/960960*(960960*sqrt(2*c*d*x + b*d)*a^3 - 48048*a^2*(10*(3*sqrt(2*c*d*x + b*d)*b*d - (2*c*d*x + b*d)^(3/2))*b/(c*d) - (15*sqrt(2*c*d*x + b*d)*b^2*d^2 - 10*(2*c*d*x + b*d)^(3/2)*b*d + 3*(2*c*d*x + b*d)^(5/2))/(c*d^2)) + 572*a*(84*(15*sqrt(2*c*d*x + b*d)*b^2*d^2 - 10*(2*c*d*x + b*d)^(3/2)*b*d + 3*(2*c*d*x + b*d)^(5/2))*b^2/(c^2*d^2) - 36*(35*sqrt(2*c*d*x + b*d)*b^3*d^3 - 35*(2*c*d*x + b*d)^(3/2)*b^2*d^2 + 21*(2*c*d*x + b*d)^(5/2)*b*d - 5*(2*c*d*x + b*d)^(7/2))*b/(c^2*d^3) + (315*sqrt(2*c*d*x + b*d)*b^4*d^4 - 420*(2*c*d*x + b*d)^(3/2)*b^3*d^3 + 378*(2*c*d*x + b*d)^(5/2)*b^2*d^2 - 180*(2*c*d*x + b*d)^(7/2)*b*d + 35*(2*c*d*x + b*d)^(9/2))/(c^2*d^4)) - 3432*(35*sqrt(2*c*d*x + b*d)*b^3*d^3 - 35*(2*c*d*x + b*d)^(3/2)*b^2*d^2 + 21*(2*c*d*x + b*d)^(5/2)*b*d - 5*(2*c*d*x + b*d)^(7/2))*b^3/(c^3*d^3) + 572*(315*sqrt(2*c*d*x + b*d)*b^4*d^4 - 420*(2*c*d*x + b*d)^(3/2)*b^3*d^3 + 378*(2*c*d*x + b*d)^(5/2)*b^2*d^2 - 180*(2*c*d*x + b*d)^(7/2)*b*d + 35*(2*c*d*x + b*d)^(9/2))*b^2/(c^3*d^4) - 130*(693*sqrt(2*c*d*x + b*d)*b^5*d^5 - 1155*(2*c*d*x + b*d)^(3/2)*b^4*d^4 + 1386*(2*c*d*x + b*d)^(5/2)*b^3*d^3 - 990*(2*c*d*x + b*d)^(7/2)*b^2*d^2 + 385*(2*c*d*x + b*d)^(9/2)*b*d - 63*(2*c*d*x + b*d)^(11/2))*b/(c^3*d^5) + 5*(3003*sqrt(2*c*d*x + b*d)*b^6*d^6 - 6006*(2*c*d*x + b*d)^(3/2)*b^5*d^5 + 9009*(2*c*d*x + b*d)^(5/2)*b^4*d^4 - 8580*(2*c*d*x + b*d)^(7/2)*b^3*d^3 + 5005*(2*c*d*x + b*d)^(9/2)*b^2*d^2 - 1638*(2*c*d*x + b*d)^(11/2)*b*d + 231*(2*c*d*x + b*d)^(13/2))/(c^3*d^6))/(c*d)","B",0
1279,1,136,0,1.414365," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(3/2),x, algorithm=""maxima"")","\frac{\frac{77 \, {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)}}{\sqrt{2 \, c d x + b d} c^{3}} - \frac{33 \, {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - 77 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} d^{4} - 7 \, {\left(2 \, c d x + b d\right)}^{\frac{11}{2}}}{c^{3} d^{6}}}{4928 \, c d}"," ",0,"1/4928*(77*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)/(sqrt(2*c*d*x + b*d)*c^3) - (33*(2*c*d*x + b*d)^(7/2)*(b^2 - 4*a*c)*d^2 - 77*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*(2*c*d*x + b*d)^(3/2)*d^4 - 7*(2*c*d*x + b*d)^(11/2))/(c^3*d^6))/(c*d)","A",0
1280,1,136,0,1.398002," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(5/2),x, algorithm=""maxima"")","\frac{\frac{15 \, {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)}}{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}} c^{3}} - \frac{27 \, {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - 135 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} \sqrt{2 \, c d x + b d} d^{4} - 5 \, {\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}{c^{3} d^{6}}}{2880 \, c d}"," ",0,"1/2880*(15*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)/((2*c*d*x + b*d)^(3/2)*c^3) - (27*(2*c*d*x + b*d)^(5/2)*(b^2 - 4*a*c)*d^2 - 135*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*sqrt(2*c*d*x + b*d)*d^4 - 5*(2*c*d*x + b*d)^(9/2))/(c^3*d^6))/(c*d)","A",0
1281,1,142,0,1.396160," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(7/2),x, algorithm=""maxima"")","-\frac{\frac{7 \, {\left(15 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} {\left(2 \, c d x + b d\right)}^{2} - {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d^{2}\right)}}{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}} c^{3} d^{2}} + \frac{5 \, {\left(7 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} {\left(b^{2} - 4 \, a c\right)} d^{2} - {\left(2 \, c d x + b d\right)}^{\frac{7}{2}}\right)}}{c^{3} d^{6}}}{2240 \, c d}"," ",0,"-1/2240*(7*(15*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*(2*c*d*x + b*d)^2 - (b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d^2)/((2*c*d*x + b*d)^(5/2)*c^3*d^2) + 5*(7*(2*c*d*x + b*d)^(3/2)*(b^2 - 4*a*c)*d^2 - (2*c*d*x + b*d)^(7/2))/(c^3*d^6))/(c*d)","A",0
1282,1,142,0,1.428811," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(9/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, {\left(7 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} {\left(2 \, c d x + b d\right)}^{2} - {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d^{2}\right)}}{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}} c^{3} d^{2}} + \frac{7 \, {\left(15 \, \sqrt{2 \, c d x + b d} {\left(b^{2} - 4 \, a c\right)} d^{2} - {\left(2 \, c d x + b d\right)}^{\frac{5}{2}}\right)}}{c^{3} d^{6}}}{2240 \, c d}"," ",0,"-1/2240*(5*(7*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*(2*c*d*x + b*d)^2 - (b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d^2)/((2*c*d*x + b*d)^(7/2)*c^3*d^2) + 7*(15*sqrt(2*c*d*x + b*d)*(b^2 - 4*a*c)*d^2 - (2*c*d*x + b*d)^(5/2))/(c^3*d^6))/(c*d)","A",0
1283,1,138,0,1.396870," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(11/2),x, algorithm=""maxima"")","\frac{\frac{15 \, {\left(2 \, c d x + b d\right)}^{\frac{3}{2}}}{c^{3} d^{6}} + \frac{135 \, {\left(2 \, c d x + b d\right)}^{4} {\left(b^{2} - 4 \, a c\right)} - 27 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} {\left(2 \, c d x + b d\right)}^{2} d^{2} + 5 \, {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d^{4}}{{\left(2 \, c d x + b d\right)}^{\frac{9}{2}} c^{3} d^{4}}}{2880 \, c d}"," ",0,"1/2880*(15*(2*c*d*x + b*d)^(3/2)/(c^3*d^6) + (135*(2*c*d*x + b*d)^4*(b^2 - 4*a*c) - 27*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*(2*c*d*x + b*d)^2*d^2 + 5*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d^4)/((2*c*d*x + b*d)^(9/2)*c^3*d^4))/(c*d)","A",0
1284,1,138,0,1.434452," ","integrate((c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(13/2),x, algorithm=""maxima"")","\frac{\frac{77 \, \sqrt{2 \, c d x + b d}}{c^{3} d^{6}} + \frac{77 \, {\left(2 \, c d x + b d\right)}^{4} {\left(b^{2} - 4 \, a c\right)} - 33 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)} {\left(2 \, c d x + b d\right)}^{2} d^{2} + 7 \, {\left(b^{6} - 12 \, a b^{4} c + 48 \, a^{2} b^{2} c^{2} - 64 \, a^{3} c^{3}\right)} d^{4}}{{\left(2 \, c d x + b d\right)}^{\frac{11}{2}} c^{3} d^{4}}}{4928 \, c d}"," ",0,"1/4928*(77*sqrt(2*c*d*x + b*d)/(c^3*d^6) + (77*(2*c*d*x + b*d)^4*(b^2 - 4*a*c) - 33*(b^4 - 8*a*b^2*c + 16*a^2*c^2)*(2*c*d*x + b*d)^2*d^2 + 7*(b^6 - 12*a*b^4*c + 48*a^2*b^2*c^2 - 64*a^3*c^3)*d^4)/((2*c*d*x + b*d)^(11/2)*c^3*d^4))/(c*d)","A",0
1285,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1286,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1287,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1288,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1289,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1290,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1291,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1292,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1293,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1294,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1295,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(15/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1296,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(13/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1297,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1298,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1299,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1300,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1301,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1302,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1303,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1304,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1305,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1306,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1307,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(17/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1308,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(15/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1309,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(13/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1310,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1311,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1312,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1313,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1314,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1315,-2,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1316,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1317,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1318,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1319,-2,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
1320,1,150,0,2.974193," ","integrate((1+2*x)^(7/2)/(x^2+x+1),x, algorithm=""maxima"")","\frac{4}{5} \, {\left(2 \, x + 1\right)}^{\frac{5}{2}} + 3 \cdot 3^{\frac{1}{4}} \sqrt{2} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} + 2 \, \sqrt{2 \, x + 1}\right)}\right) + 3 \cdot 3^{\frac{1}{4}} \sqrt{2} \arctan\left(-\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} - 2 \, \sqrt{2 \, x + 1}\right)}\right) + \frac{3}{2} \cdot 3^{\frac{1}{4}} \sqrt{2} \log\left(3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) - \frac{3}{2} \cdot 3^{\frac{1}{4}} \sqrt{2} \log\left(-3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) - 12 \, \sqrt{2 \, x + 1}"," ",0,"4/5*(2*x + 1)^(5/2) + 3*3^(1/4)*sqrt(2)*arctan(1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) + 2*sqrt(2*x + 1))) + 3*3^(1/4)*sqrt(2)*arctan(-1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) - 2*sqrt(2*x + 1))) + 3/2*3^(1/4)*sqrt(2)*log(3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) - 3/2*3^(1/4)*sqrt(2)*log(-3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) - 12*sqrt(2*x + 1)","A",0
1321,1,141,0,3.013412," ","integrate((1+2*x)^(5/2)/(x^2+x+1),x, algorithm=""maxima"")","-3^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} + 2 \, \sqrt{2 \, x + 1}\right)}\right) - 3^{\frac{3}{4}} \sqrt{2} \arctan\left(-\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} - 2 \, \sqrt{2 \, x + 1}\right)}\right) + \frac{1}{2} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) - \frac{1}{2} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(-3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) + \frac{4}{3} \, {\left(2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"-3^(3/4)*sqrt(2)*arctan(1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) + 2*sqrt(2*x + 1))) - 3^(3/4)*sqrt(2)*arctan(-1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) - 2*sqrt(2*x + 1))) + 1/2*3^(3/4)*sqrt(2)*log(3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) - 1/2*3^(3/4)*sqrt(2)*log(-3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) + 4/3*(2*x + 1)^(3/2)","A",0
1322,1,141,0,3.062042," ","integrate((1+2*x)^(3/2)/(x^2+x+1),x, algorithm=""maxima"")","-3^{\frac{1}{4}} \sqrt{2} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} + 2 \, \sqrt{2 \, x + 1}\right)}\right) - 3^{\frac{1}{4}} \sqrt{2} \arctan\left(-\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} - 2 \, \sqrt{2 \, x + 1}\right)}\right) - \frac{1}{2} \cdot 3^{\frac{1}{4}} \sqrt{2} \log\left(3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) + \frac{1}{2} \cdot 3^{\frac{1}{4}} \sqrt{2} \log\left(-3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) + 4 \, \sqrt{2 \, x + 1}"," ",0,"-3^(1/4)*sqrt(2)*arctan(1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) + 2*sqrt(2*x + 1))) - 3^(1/4)*sqrt(2)*arctan(-1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) - 2*sqrt(2*x + 1))) - 1/2*3^(1/4)*sqrt(2)*log(3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) + 1/2*3^(1/4)*sqrt(2)*log(-3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) + 4*sqrt(2*x + 1)","A",0
1323,1,132,0,3.026871," ","integrate((1+2*x)^(1/2)/(x^2+x+1),x, algorithm=""maxima"")","\frac{1}{3} \cdot 3^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} + 2 \, \sqrt{2 \, x + 1}\right)}\right) + \frac{1}{3} \cdot 3^{\frac{3}{4}} \sqrt{2} \arctan\left(-\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} - 2 \, \sqrt{2 \, x + 1}\right)}\right) - \frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) + \frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(-3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right)"," ",0,"1/3*3^(3/4)*sqrt(2)*arctan(1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) + 2*sqrt(2*x + 1))) + 1/3*3^(3/4)*sqrt(2)*arctan(-1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) - 2*sqrt(2*x + 1))) - 1/6*3^(3/4)*sqrt(2)*log(3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) + 1/6*3^(3/4)*sqrt(2)*log(-3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1)","A",0
1324,1,132,0,2.985332," ","integrate(1/(1+2*x)^(1/2)/(x^2+x+1),x, algorithm=""maxima"")","\frac{1}{3} \cdot 3^{\frac{1}{4}} \sqrt{2} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} + 2 \, \sqrt{2 \, x + 1}\right)}\right) + \frac{1}{3} \cdot 3^{\frac{1}{4}} \sqrt{2} \arctan\left(-\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} - 2 \, \sqrt{2 \, x + 1}\right)}\right) + \frac{1}{6} \cdot 3^{\frac{1}{4}} \sqrt{2} \log\left(3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) - \frac{1}{6} \cdot 3^{\frac{1}{4}} \sqrt{2} \log\left(-3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right)"," ",0,"1/3*3^(1/4)*sqrt(2)*arctan(1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) + 2*sqrt(2*x + 1))) + 1/3*3^(1/4)*sqrt(2)*arctan(-1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) - 2*sqrt(2*x + 1))) + 1/6*3^(1/4)*sqrt(2)*log(3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) - 1/6*3^(1/4)*sqrt(2)*log(-3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1)","A",0
1325,1,141,0,2.997136," ","integrate(1/(1+2*x)^(3/2)/(x^2+x+1),x, algorithm=""maxima"")","-\frac{1}{9} \cdot 3^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} + 2 \, \sqrt{2 \, x + 1}\right)}\right) - \frac{1}{9} \cdot 3^{\frac{3}{4}} \sqrt{2} \arctan\left(-\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} - 2 \, \sqrt{2 \, x + 1}\right)}\right) + \frac{1}{18} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) - \frac{1}{18} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(-3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) - \frac{4}{3 \, \sqrt{2 \, x + 1}}"," ",0,"-1/9*3^(3/4)*sqrt(2)*arctan(1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) + 2*sqrt(2*x + 1))) - 1/9*3^(3/4)*sqrt(2)*arctan(-1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) - 2*sqrt(2*x + 1))) + 1/18*3^(3/4)*sqrt(2)*log(3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) - 1/18*3^(3/4)*sqrt(2)*log(-3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) - 4/3/sqrt(2*x + 1)","A",0
1326,1,141,0,3.001966," ","integrate(1/(1+2*x)^(5/2)/(x^2+x+1),x, algorithm=""maxima"")","-\frac{1}{9} \cdot 3^{\frac{1}{4}} \sqrt{2} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} + 2 \, \sqrt{2 \, x + 1}\right)}\right) - \frac{1}{9} \cdot 3^{\frac{1}{4}} \sqrt{2} \arctan\left(-\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(3^{\frac{1}{4}} \sqrt{2} - 2 \, \sqrt{2 \, x + 1}\right)}\right) - \frac{1}{18} \cdot 3^{\frac{1}{4}} \sqrt{2} \log\left(3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) + \frac{1}{18} \cdot 3^{\frac{1}{4}} \sqrt{2} \log\left(-3^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x + 1} + 2 \, x + \sqrt{3} + 1\right) - \frac{4}{9 \, {\left(2 \, x + 1\right)}^{\frac{3}{2}}}"," ",0,"-1/9*3^(1/4)*sqrt(2)*arctan(1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) + 2*sqrt(2*x + 1))) - 1/9*3^(1/4)*sqrt(2)*arctan(-1/6*3^(3/4)*sqrt(2)*(3^(1/4)*sqrt(2) - 2*sqrt(2*x + 1))) - 1/18*3^(1/4)*sqrt(2)*log(3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) + 1/18*3^(1/4)*sqrt(2)*log(-3^(1/4)*sqrt(2)*sqrt(2*x + 1) + 2*x + sqrt(3) + 1) - 4/9/(2*x + 1)^(3/2)","A",0
1327,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(7/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} \sqrt{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(7/2)*sqrt(c*x^2 + b*x + a), x)","F",0
1328,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} \sqrt{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(3/2)*sqrt(c*x^2 + b*x + a), x)","F",0
1329,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{\sqrt{2 \, c d x + b d}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/sqrt(2*c*d*x + b*d), x)","F",0
1330,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/(2*c*d*x + b*d)^(5/2), x)","F",0
1331,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^(9/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/(2*c*d*x + b*d)^(9/2), x)","F",0
1332,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^(13/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(2 \, c d x + b d\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/(2*c*d*x + b*d)^(13/2), x)","F",0
1333,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} \sqrt{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(5/2)*sqrt(c*x^2 + b*x + a), x)","F",0
1334,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(1/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{2 \, c d x + b d} \sqrt{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(sqrt(2*c*d*x + b*d)*sqrt(c*x^2 + b*x + a), x)","F",0
1335,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/(2*c*d*x + b*d)^(3/2), x)","F",0
1336,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(2*c*d*x+b*d)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/(2*c*d*x + b*d)^(7/2), x)","F",0
1337,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(7/2)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(7/2)*(c*x^2 + b*x + a)^(3/2), x)","F",0
1338,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(3/2)*(c*x^2 + b*x + a)^(3/2), x)","F",0
1339,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{\sqrt{2 \, c d x + b d}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/sqrt(2*c*d*x + b*d), x)","F",0
1340,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(2*c*d*x + b*d)^(5/2), x)","F",0
1341,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(2*c*d*x + b*d)^(9/2), x)","F",0
1342,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(2*c*d*x + b*d)^(13/2), x)","F",0
1343,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(17/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{17}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(2*c*d*x + b*d)^(17/2), x)","F",0
1344,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(5/2)*(c*x^2 + b*x + a)^(3/2), x)","F",0
1345,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(1/2)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \sqrt{2 \, c d x + b d} {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(2*c*d*x + b*d)*(c*x^2 + b*x + a)^(3/2), x)","F",0
1346,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(2*c*d*x + b*d)^(3/2), x)","F",0
1347,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(2*c*d*x + b*d)^(7/2), x)","F",0
1348,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(2*c*d*x + b*d)^(11/2), x)","F",0
1349,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(7/2)*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{\frac{7}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(7/2)*(c*x^2 + b*x + a)^(5/2), x)","F",0
1350,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{\frac{3}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(3/2)*(c*x^2 + b*x + a)^(5/2), x)","F",0
1351,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{\sqrt{2 \, c d x + b d}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/sqrt(2*c*d*x + b*d), x)","F",0
1352,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(2*c*d*x + b*d)^(5/2), x)","F",0
1353,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(2*c*d*x + b*d)^(9/2), x)","F",0
1354,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(2*c*d*x + b*d)^(13/2), x)","F",0
1355,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(17/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{17}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(2*c*d*x + b*d)^(17/2), x)","F",0
1356,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(21/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{21}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(2*c*d*x + b*d)^(21/2), x)","F",0
1357,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{\frac{5}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(5/2)*(c*x^2 + b*x + a)^(5/2), x)","F",0
1358,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(1/2)*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \sqrt{2 \, c d x + b d} {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(2*c*d*x + b*d)*(c*x^2 + b*x + a)^(5/2), x)","F",0
1359,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(2*c*d*x + b*d)^(3/2), x)","F",0
1360,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(2*c*d*x + b*d)^(7/2), x)","F",0
1361,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(2*c*d*x + b*d)^(11/2), x)","F",0
1362,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(15/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(2 \, c d x + b d\right)}^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(2*c*d*x + b*d)^(15/2), x)","F",0
1363,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(7/2)/sqrt(c*x^2 + b*x + a), x)","F",0
1364,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(3/2)/sqrt(c*x^2 + b*x + a), x)","F",0
1365,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{2 \, c d x + b d} \sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate(1/(sqrt(2*c*d*x + b*d)*sqrt(c*x^2 + b*x + a)), x)","F",0
1366,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}} \sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate(1/((2*c*d*x + b*d)^(5/2)*sqrt(c*x^2 + b*x + a)), x)","F",0
1367,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, c d x + b d\right)}^{\frac{9}{2}} \sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate(1/((2*c*d*x + b*d)^(9/2)*sqrt(c*x^2 + b*x + a)), x)","F",0
1368,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(9/2)/sqrt(c*x^2 + b*x + a), x)","F",0
1369,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(5/2)/sqrt(c*x^2 + b*x + a), x)","F",0
1370,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, c d x + b d}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate(sqrt(2*c*d*x + b*d)/sqrt(c*x^2 + b*x + a), x)","F",0
1371,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}} \sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate(1/((2*c*d*x + b*d)^(3/2)*sqrt(c*x^2 + b*x + a)), x)","F",0
1372,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}} \sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate(1/((2*c*d*x + b*d)^(7/2)*sqrt(c*x^2 + b*x + a)), x)","F",0
1373,0,0,0,0.000000," ","integrate((3-2*x)^(3/2)/(x^2-3*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(-2 \, x + 3\right)}^{\frac{3}{2}}}{\sqrt{x^{2} - 3 \, x + 1}}\,{d x}"," ",0,"integrate((-2*x + 3)^(3/2)/sqrt(x^2 - 3*x + 1), x)","F",0
1374,0,0,0,0.000000," ","integrate(1/(3-2*x)^(1/2)/(x^2-3*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} - 3 \, x + 1} \sqrt{-2 \, x + 3}}\,{d x}"," ",0,"integrate(1/(sqrt(x^2 - 3*x + 1)*sqrt(-2*x + 3)), x)","F",0
1375,0,0,0,0.000000," ","integrate(1/(3-2*x)^(5/2)/(x^2-3*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} - 3 \, x + 1} {\left(-2 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(x^2 - 3*x + 1)*(-2*x + 3)^(5/2)), x)","F",0
1376,0,0,0,0.000000," ","integrate((3-2*x)^(5/2)/(x^2-3*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(-2 \, x + 3\right)}^{\frac{5}{2}}}{\sqrt{x^{2} - 3 \, x + 1}}\,{d x}"," ",0,"integrate((-2*x + 3)^(5/2)/sqrt(x^2 - 3*x + 1), x)","F",0
1377,0,0,0,0.000000," ","integrate((3-2*x)^(1/2)/(x^2-3*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-2 \, x + 3}}{\sqrt{x^{2} - 3 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 3)/sqrt(x^2 - 3*x + 1), x)","F",0
1378,0,0,0,0.000000," ","integrate(1/(3-2*x)^(3/2)/(x^2-3*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} - 3 \, x + 1} {\left(-2 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(x^2 - 3*x + 1)*(-2*x + 3)^(3/2)), x)","F",0
1379,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{11}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(11/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1380,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(7/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1381,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(3/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1382,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{2 \, c d x + b d} {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(2*c*d*x + b*d)*(c*x^2 + b*x + a)^(3/2)), x)","F",0
1383,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((2*c*d*x + b*d)^(5/2)*(c*x^2 + b*x + a)^(3/2)), x)","F",0
1384,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(9/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1385,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(5/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1386,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, c d x + b d}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(2*c*d*x + b*d)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1387,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((2*c*d*x + b*d)^(3/2)*(c*x^2 + b*x + a)^(3/2)), x)","F",0
1388,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((2*c*d*x + b*d)^(7/2)*(c*x^2 + b*x + a)^(3/2)), x)","F",0
1389,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(15/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{15}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(15/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1390,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{11}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(11/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1391,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(7/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1392,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(3/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1393,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{2 \, c d x + b d} {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(2*c*d*x + b*d)*(c*x^2 + b*x + a)^(5/2)), x)","F",0
1394,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((2*c*d*x + b*d)^(5/2)*(c*x^2 + b*x + a)^(5/2)), x)","F",0
1395,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(13/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{13}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(13/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1396,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{9}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(9/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1397,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^(5/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1398,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^(1/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, c d x + b d}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(2*c*d*x + b*d)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1399,0,0,0,0.000000," ","integrate(1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, c d x + b d\right)}^{\frac{3}{2}} {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((2*c*d*x + b*d)^(3/2)*(c*x^2 + b*x + a)^(5/2)), x)","F",0
1400,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(11/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d e x + c e\right)}^{\frac{11}{2}}}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(11/2)/sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1), x)","F",0
1401,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(7/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d e x + c e\right)}^{\frac{7}{2}}}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(7/2)/sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1), x)","F",0
1402,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(3/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d e x + c e\right)}^{\frac{3}{2}}}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(3/2)/sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1), x)","F",0
1403,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^(1/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} \sqrt{d e x + c e}}\,{d x}"," ",0,"integrate(1/(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1)*sqrt(d*e*x + c*e)), x)","F",0
1404,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^(5/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} {\left(d e x + c e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1)*(d*e*x + c*e)^(5/2)), x)","F",0
1405,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^(9/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} {\left(d e x + c e\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1)*(d*e*x + c*e)^(9/2)), x)","F",0
1406,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^(13/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} {\left(d e x + c e\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1)*(d*e*x + c*e)^(13/2)), x)","F",0
1407,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(9/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d e x + c e\right)}^{\frac{9}{2}}}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(9/2)/sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1), x)","F",0
1408,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(5/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d e x + c e\right)}^{\frac{5}{2}}}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(5/2)/sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1), x)","F",0
1409,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(1/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{d e x + c e}}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(d*e*x + c*e)/sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1), x)","F",0
1410,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^(3/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} {\left(d e x + c e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1)*(d*e*x + c*e)^(3/2)), x)","F",0
1411,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^(7/2)/(-d^2*x^2-2*c*d*x-c^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-d^{2} x^{2} - 2 \, c d x - c^{2} + 1} {\left(d e x + c e\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(-d^2*x^2 - 2*c*d*x - c^2 + 1)*(d*e*x + c*e)^(7/2)), x)","F",0
1412,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(11/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{11}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(11/3), x)","F",0
1413,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(17/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{17}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(17/3), x)","F",0
1414,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(23/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{23}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(23/3), x)","F",0
1415,1,783,0,5.105707," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(29/3),x, algorithm=""maxima"")","\frac{3 \, {\left(144 \, c^{6} d^{\frac{1}{3}} x^{8} + 576 \, b c^{5} d^{\frac{1}{3}} x^{7} + 12 \, {\left(85 \, b^{2} c^{4} d^{\frac{1}{3}} - 4 \, a c^{5} d^{\frac{1}{3}}\right)} x^{6} + 65 \, a^{2} b^{4} d^{\frac{1}{3}} - 364 \, a^{3} b^{2} c d^{\frac{1}{3}} + 560 \, a^{4} c^{2} d^{\frac{1}{3}} + 36 \, {\left(29 \, b^{3} c^{3} d^{\frac{1}{3}} - 4 \, a b c^{4} d^{\frac{1}{3}}\right)} x^{5} + {\left(677 \, b^{4} c^{2} d^{\frac{1}{3}} - 196 \, a b^{2} c^{3} d^{\frac{1}{3}} + 32 \, a^{2} c^{4} d^{\frac{1}{3}}\right)} x^{4} + 2 \, {\left(143 \, b^{5} c d^{\frac{1}{3}} - 76 \, a b^{3} c^{2} d^{\frac{1}{3}} + 32 \, a^{2} b c^{3} d^{\frac{1}{3}}\right)} x^{3} + {\left(65 \, b^{6} d^{\frac{1}{3}} + 78 \, a b^{4} c d^{\frac{1}{3}} - 540 \, a^{2} b^{2} c^{2} d^{\frac{1}{3}} + 784 \, a^{3} c^{3} d^{\frac{1}{3}}\right)} x^{2} + 2 \, {\left(65 \, a b^{5} d^{\frac{1}{3}} - 286 \, a^{2} b^{3} c d^{\frac{1}{3}} + 392 \, a^{3} b c^{2} d^{\frac{1}{3}}\right)} x\right)} {\left(c x^{2} + b x + a\right)}^{\frac{1}{3}}}{455 \, {\left(b^{14} d^{10} - 12 \, a b^{12} c d^{10} + 48 \, a^{2} b^{10} c^{2} d^{10} - 64 \, a^{3} b^{8} c^{3} d^{10} + 256 \, {\left(b^{6} c^{8} d^{10} - 12 \, a b^{4} c^{9} d^{10} + 48 \, a^{2} b^{2} c^{10} d^{10} - 64 \, a^{3} c^{11} d^{10}\right)} x^{8} + 1024 \, {\left(b^{7} c^{7} d^{10} - 12 \, a b^{5} c^{8} d^{10} + 48 \, a^{2} b^{3} c^{9} d^{10} - 64 \, a^{3} b c^{10} d^{10}\right)} x^{7} + 1792 \, {\left(b^{8} c^{6} d^{10} - 12 \, a b^{6} c^{7} d^{10} + 48 \, a^{2} b^{4} c^{8} d^{10} - 64 \, a^{3} b^{2} c^{9} d^{10}\right)} x^{6} + 1792 \, {\left(b^{9} c^{5} d^{10} - 12 \, a b^{7} c^{6} d^{10} + 48 \, a^{2} b^{5} c^{7} d^{10} - 64 \, a^{3} b^{3} c^{8} d^{10}\right)} x^{5} + 1120 \, {\left(b^{10} c^{4} d^{10} - 12 \, a b^{8} c^{5} d^{10} + 48 \, a^{2} b^{6} c^{6} d^{10} - 64 \, a^{3} b^{4} c^{7} d^{10}\right)} x^{4} + 448 \, {\left(b^{11} c^{3} d^{10} - 12 \, a b^{9} c^{4} d^{10} + 48 \, a^{2} b^{7} c^{5} d^{10} - 64 \, a^{3} b^{5} c^{6} d^{10}\right)} x^{3} + 112 \, {\left(b^{12} c^{2} d^{10} - 12 \, a b^{10} c^{3} d^{10} + 48 \, a^{2} b^{8} c^{4} d^{10} - 64 \, a^{3} b^{6} c^{5} d^{10}\right)} x^{2} + 16 \, {\left(b^{13} c d^{10} - 12 \, a b^{11} c^{2} d^{10} + 48 \, a^{2} b^{9} c^{3} d^{10} - 64 \, a^{3} b^{7} c^{4} d^{10}\right)} x\right)} {\left(2 \, c x + b\right)}^{\frac{2}{3}}}"," ",0,"3/455*(144*c^6*d^(1/3)*x^8 + 576*b*c^5*d^(1/3)*x^7 + 12*(85*b^2*c^4*d^(1/3) - 4*a*c^5*d^(1/3))*x^6 + 65*a^2*b^4*d^(1/3) - 364*a^3*b^2*c*d^(1/3) + 560*a^4*c^2*d^(1/3) + 36*(29*b^3*c^3*d^(1/3) - 4*a*b*c^4*d^(1/3))*x^5 + (677*b^4*c^2*d^(1/3) - 196*a*b^2*c^3*d^(1/3) + 32*a^2*c^4*d^(1/3))*x^4 + 2*(143*b^5*c*d^(1/3) - 76*a*b^3*c^2*d^(1/3) + 32*a^2*b*c^3*d^(1/3))*x^3 + (65*b^6*d^(1/3) + 78*a*b^4*c*d^(1/3) - 540*a^2*b^2*c^2*d^(1/3) + 784*a^3*c^3*d^(1/3))*x^2 + 2*(65*a*b^5*d^(1/3) - 286*a^2*b^3*c*d^(1/3) + 392*a^3*b*c^2*d^(1/3))*x)*(c*x^2 + b*x + a)^(1/3)/((b^14*d^10 - 12*a*b^12*c*d^10 + 48*a^2*b^10*c^2*d^10 - 64*a^3*b^8*c^3*d^10 + 256*(b^6*c^8*d^10 - 12*a*b^4*c^9*d^10 + 48*a^2*b^2*c^10*d^10 - 64*a^3*c^11*d^10)*x^8 + 1024*(b^7*c^7*d^10 - 12*a*b^5*c^8*d^10 + 48*a^2*b^3*c^9*d^10 - 64*a^3*b*c^10*d^10)*x^7 + 1792*(b^8*c^6*d^10 - 12*a*b^6*c^7*d^10 + 48*a^2*b^4*c^8*d^10 - 64*a^3*b^2*c^9*d^10)*x^6 + 1792*(b^9*c^5*d^10 - 12*a*b^7*c^6*d^10 + 48*a^2*b^5*c^7*d^10 - 64*a^3*b^3*c^8*d^10)*x^5 + 1120*(b^10*c^4*d^10 - 12*a*b^8*c^5*d^10 + 48*a^2*b^6*c^6*d^10 - 64*a^3*b^4*c^7*d^10)*x^4 + 448*(b^11*c^3*d^10 - 12*a*b^9*c^4*d^10 + 48*a^2*b^7*c^5*d^10 - 64*a^3*b^5*c^6*d^10)*x^3 + 112*(b^12*c^2*d^10 - 12*a*b^10*c^3*d^10 + 48*a^2*b^8*c^4*d^10 - 64*a^3*b^6*c^5*d^10)*x^2 + 16*(b^13*c*d^10 - 12*a*b^11*c^2*d^10 + 48*a^2*b^9*c^3*d^10 - 64*a^3*b^7*c^4*d^10)*x)*(2*c*x + b)^(2/3))","B",0
1416,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(2/3), x)","F",0
1417,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(8/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{8}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(8/3), x)","F",0
1418,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(14/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{14}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(14/3), x)","F",0
1419,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(20/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{20}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(20/3), x)","F",0
1420,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(4/3), x)","F",0
1421,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(10/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{10}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(10/3), x)","F",0
1422,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(16/3),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(2 \, c d x + b d\right)}^{\frac{16}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(2*c*d*x + b*d)^(16/3), x)","F",0
1423,1,1299,0,2.291775," ","integrate((2*c*d*x+b*d)^m*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(4 \, c^{2} d^{m} {\left(m + 1\right)} x^{2} + 2 \, b c d^{m} m x - b^{2} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} a^{2} b}{4 \, {\left(m^{2} + 3 \, m + 2\right)} c^{2}} + \frac{3 \, {\left(4 \, {\left(m^{2} + 3 \, m + 2\right)} c^{3} d^{m} x^{3} + 2 \, {\left(m^{2} + m\right)} b c^{2} d^{m} x^{2} - 2 \, b^{2} c d^{m} m x + b^{3} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} a b^{2}}{4 \, {\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} c^{3}} + \frac{3 \, {\left(4 \, {\left(m^{2} + 3 \, m + 2\right)} c^{3} d^{m} x^{3} + 2 \, {\left(m^{2} + m\right)} b c^{2} d^{m} x^{2} - 2 \, b^{2} c d^{m} m x + b^{3} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} a^{2}}{4 \, {\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} c^{2}} + \frac{{\left(2 \, c d x + b d\right)}^{m + 1} a^{3}}{2 \, c d {\left(m + 1\right)}} + \frac{{\left(8 \, {\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} c^{4} d^{m} x^{4} + 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b c^{3} d^{m} x^{3} - 6 \, {\left(m^{2} + m\right)} b^{2} c^{2} d^{m} x^{2} + 6 \, b^{3} c d^{m} m x - 3 \, b^{4} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} b^{3}}{8 \, {\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} c^{4}} + \frac{3 \, {\left(8 \, {\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} c^{4} d^{m} x^{4} + 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b c^{3} d^{m} x^{3} - 6 \, {\left(m^{2} + m\right)} b^{2} c^{2} d^{m} x^{2} + 6 \, b^{3} c d^{m} m x - 3 \, b^{4} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} a b}{4 \, {\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} c^{3}} + \frac{3 \, {\left(4 \, {\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} c^{5} d^{m} x^{5} + 2 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b c^{4} d^{m} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{2} c^{3} d^{m} x^{3} + 6 \, {\left(m^{2} + m\right)} b^{3} c^{2} d^{m} x^{2} - 6 \, b^{4} c d^{m} m x + 3 \, b^{5} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} b^{2}}{4 \, {\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} c^{4}} + \frac{3 \, {\left(4 \, {\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} c^{5} d^{m} x^{5} + 2 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b c^{4} d^{m} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{2} c^{3} d^{m} x^{3} + 6 \, {\left(m^{2} + m\right)} b^{3} c^{2} d^{m} x^{2} - 6 \, b^{4} c d^{m} m x + 3 \, b^{5} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} a}{4 \, {\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} c^{3}} + \frac{3 \, {\left(8 \, {\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} c^{6} d^{m} x^{6} + 4 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} b c^{5} d^{m} x^{5} - 10 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b^{2} c^{4} d^{m} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{3} c^{3} d^{m} x^{3} - 30 \, {\left(m^{2} + m\right)} b^{4} c^{2} d^{m} x^{2} + 30 \, b^{5} c d^{m} m x - 15 \, b^{6} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} b}{8 \, {\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} c^{4}} + \frac{{\left(8 \, {\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} c^{7} d^{m} x^{7} + 4 \, {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} b c^{6} d^{m} x^{6} - 12 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} b^{2} c^{5} d^{m} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b^{3} c^{4} d^{m} x^{4} - 60 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{4} c^{3} d^{m} x^{3} + 90 \, {\left(m^{2} + m\right)} b^{5} c^{2} d^{m} x^{2} - 90 \, b^{6} c d^{m} m x + 45 \, b^{7} d^{m}\right)} {\left(2 \, c x + b\right)}^{m}}{8 \, {\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} c^{4}}"," ",0,"3/4*(4*c^2*d^m*(m + 1)*x^2 + 2*b*c*d^m*m*x - b^2*d^m)*(2*c*x + b)^m*a^2*b/((m^2 + 3*m + 2)*c^2) + 3/4*(4*(m^2 + 3*m + 2)*c^3*d^m*x^3 + 2*(m^2 + m)*b*c^2*d^m*x^2 - 2*b^2*c*d^m*m*x + b^3*d^m)*(2*c*x + b)^m*a*b^2/((m^3 + 6*m^2 + 11*m + 6)*c^3) + 3/4*(4*(m^2 + 3*m + 2)*c^3*d^m*x^3 + 2*(m^2 + m)*b*c^2*d^m*x^2 - 2*b^2*c*d^m*m*x + b^3*d^m)*(2*c*x + b)^m*a^2/((m^3 + 6*m^2 + 11*m + 6)*c^2) + 1/2*(2*c*d*x + b*d)^(m + 1)*a^3/(c*d*(m + 1)) + 1/8*(8*(m^3 + 6*m^2 + 11*m + 6)*c^4*d^m*x^4 + 4*(m^3 + 3*m^2 + 2*m)*b*c^3*d^m*x^3 - 6*(m^2 + m)*b^2*c^2*d^m*x^2 + 6*b^3*c*d^m*m*x - 3*b^4*d^m)*(2*c*x + b)^m*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*c^4) + 3/4*(8*(m^3 + 6*m^2 + 11*m + 6)*c^4*d^m*x^4 + 4*(m^3 + 3*m^2 + 2*m)*b*c^3*d^m*x^3 - 6*(m^2 + m)*b^2*c^2*d^m*x^2 + 6*b^3*c*d^m*m*x - 3*b^4*d^m)*(2*c*x + b)^m*a*b/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*c^3) + 3/4*(4*(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*c^5*d^m*x^5 + 2*(m^4 + 6*m^3 + 11*m^2 + 6*m)*b*c^4*d^m*x^4 - 4*(m^3 + 3*m^2 + 2*m)*b^2*c^3*d^m*x^3 + 6*(m^2 + m)*b^3*c^2*d^m*x^2 - 6*b^4*c*d^m*m*x + 3*b^5*d^m)*(2*c*x + b)^m*b^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*c^4) + 3/4*(4*(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*c^5*d^m*x^5 + 2*(m^4 + 6*m^3 + 11*m^2 + 6*m)*b*c^4*d^m*x^4 - 4*(m^3 + 3*m^2 + 2*m)*b^2*c^3*d^m*x^3 + 6*(m^2 + m)*b^3*c^2*d^m*x^2 - 6*b^4*c*d^m*m*x + 3*b^5*d^m)*(2*c*x + b)^m*a/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*c^3) + 3/8*(8*(m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*c^6*d^m*x^6 + 4*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*b*c^5*d^m*x^5 - 10*(m^4 + 6*m^3 + 11*m^2 + 6*m)*b^2*c^4*d^m*x^4 + 20*(m^3 + 3*m^2 + 2*m)*b^3*c^3*d^m*x^3 - 30*(m^2 + m)*b^4*c^2*d^m*x^2 + 30*b^5*c*d^m*m*x - 15*b^6*d^m)*(2*c*x + b)^m*b/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*c^4) + 1/8*(8*(m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*c^7*d^m*x^7 + 4*(m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*b*c^6*d^m*x^6 - 12*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*b^2*c^5*d^m*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*b^3*c^4*d^m*x^4 - 60*(m^3 + 3*m^2 + 2*m)*b^4*c^3*d^m*x^3 + 90*(m^2 + m)*b^5*c^2*d^m*x^2 - 90*b^6*c*d^m*m*x + 45*b^7*d^m)*(2*c*x + b)^m/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*c^4)","B",0
1424,1,539,0,1.802550," ","integrate((2*c*d*x+b*d)^m*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{{\left(4 \, c^{2} d^{m} {\left(m + 1\right)} x^{2} + 2 \, b c d^{m} m x - b^{2} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} a b}{2 \, {\left(m^{2} + 3 \, m + 2\right)} c^{2}} + \frac{{\left(4 \, {\left(m^{2} + 3 \, m + 2\right)} c^{3} d^{m} x^{3} + 2 \, {\left(m^{2} + m\right)} b c^{2} d^{m} x^{2} - 2 \, b^{2} c d^{m} m x + b^{3} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} b^{2}}{4 \, {\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} c^{3}} + \frac{{\left(4 \, {\left(m^{2} + 3 \, m + 2\right)} c^{3} d^{m} x^{3} + 2 \, {\left(m^{2} + m\right)} b c^{2} d^{m} x^{2} - 2 \, b^{2} c d^{m} m x + b^{3} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} a}{2 \, {\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} c^{2}} + \frac{{\left(2 \, c d x + b d\right)}^{m + 1} a^{2}}{2 \, c d {\left(m + 1\right)}} + \frac{{\left(8 \, {\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} c^{4} d^{m} x^{4} + 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b c^{3} d^{m} x^{3} - 6 \, {\left(m^{2} + m\right)} b^{2} c^{2} d^{m} x^{2} + 6 \, b^{3} c d^{m} m x - 3 \, b^{4} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} b}{4 \, {\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} c^{3}} + \frac{{\left(4 \, {\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} c^{5} d^{m} x^{5} + 2 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b c^{4} d^{m} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{2} c^{3} d^{m} x^{3} + 6 \, {\left(m^{2} + m\right)} b^{3} c^{2} d^{m} x^{2} - 6 \, b^{4} c d^{m} m x + 3 \, b^{5} d^{m}\right)} {\left(2 \, c x + b\right)}^{m}}{4 \, {\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} c^{3}}"," ",0,"1/2*(4*c^2*d^m*(m + 1)*x^2 + 2*b*c*d^m*m*x - b^2*d^m)*(2*c*x + b)^m*a*b/((m^2 + 3*m + 2)*c^2) + 1/4*(4*(m^2 + 3*m + 2)*c^3*d^m*x^3 + 2*(m^2 + m)*b*c^2*d^m*x^2 - 2*b^2*c*d^m*m*x + b^3*d^m)*(2*c*x + b)^m*b^2/((m^3 + 6*m^2 + 11*m + 6)*c^3) + 1/2*(4*(m^2 + 3*m + 2)*c^3*d^m*x^3 + 2*(m^2 + m)*b*c^2*d^m*x^2 - 2*b^2*c*d^m*m*x + b^3*d^m)*(2*c*x + b)^m*a/((m^3 + 6*m^2 + 11*m + 6)*c^2) + 1/2*(2*c*d*x + b*d)^(m + 1)*a^2/(c*d*(m + 1)) + 1/4*(8*(m^3 + 6*m^2 + 11*m + 6)*c^4*d^m*x^4 + 4*(m^3 + 3*m^2 + 2*m)*b*c^3*d^m*x^3 - 6*(m^2 + m)*b^2*c^2*d^m*x^2 + 6*b^3*c*d^m*m*x - 3*b^4*d^m)*(2*c*x + b)^m*b/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*c^3) + 1/4*(4*(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*c^5*d^m*x^5 + 2*(m^4 + 6*m^3 + 11*m^2 + 6*m)*b*c^4*d^m*x^4 - 4*(m^3 + 3*m^2 + 2*m)*b^2*c^3*d^m*x^3 + 6*(m^2 + m)*b^3*c^2*d^m*x^2 - 6*b^4*c*d^m*m*x + 3*b^5*d^m)*(2*c*x + b)^m/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*c^3)","B",0
1425,1,167,0,1.478329," ","integrate((2*c*d*x+b*d)^m*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{{\left(4 \, c^{2} d^{m} {\left(m + 1\right)} x^{2} + 2 \, b c d^{m} m x - b^{2} d^{m}\right)} {\left(2 \, c x + b\right)}^{m} b}{4 \, {\left(m^{2} + 3 \, m + 2\right)} c^{2}} + \frac{{\left(4 \, {\left(m^{2} + 3 \, m + 2\right)} c^{3} d^{m} x^{3} + 2 \, {\left(m^{2} + m\right)} b c^{2} d^{m} x^{2} - 2 \, b^{2} c d^{m} m x + b^{3} d^{m}\right)} {\left(2 \, c x + b\right)}^{m}}{4 \, {\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} c^{2}} + \frac{{\left(2 \, c d x + b d\right)}^{m + 1} a}{2 \, c d {\left(m + 1\right)}}"," ",0,"1/4*(4*c^2*d^m*(m + 1)*x^2 + 2*b*c*d^m*m*x - b^2*d^m)*(2*c*x + b)^m*b/((m^2 + 3*m + 2)*c^2) + 1/4*(4*(m^2 + 3*m + 2)*c^3*d^m*x^3 + 2*(m^2 + m)*b*c^2*d^m*x^2 - 2*b^2*c*d^m*m*x + b^3*d^m)*(2*c*x + b)^m/((m^3 + 6*m^2 + 11*m + 6)*c^2) + 1/2*(2*c*d*x + b*d)^(m + 1)*a/(c*d*(m + 1))","B",0
1426,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{m}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^m/(c*x^2 + b*x + a), x)","F",0
1427,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{m}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^m/(c*x^2 + b*x + a)^2, x)","F",0
1428,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{m}}{{\left(c x^{2} + b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^m/(c*x^2 + b*x + a)^3, x)","F",0
1429,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} {\left(2 \, c d x + b d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)*(2*c*d*x + b*d)^m, x)","F",0
1430,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(2 \, c d x + b d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*(2*c*d*x + b*d)^m, x)","F",0
1431,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(2 \, c d x + b d\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(2*c*d*x + b*d)^m, x)","F",0
1432,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{m}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^m/sqrt(c*x^2 + b*x + a), x)","F",0
1433,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{m}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^m/(c*x^2 + b*x + a)^(3/2), x)","F",0
1434,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c d x + b d\right)}^{m}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^m/(c*x^2 + b*x + a)^(5/2), x)","F",0
1435,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^m*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{m} {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^m*(c*x^2 + b*x + a)^p, x)","F",0
1436,1,295,0,1.931877," ","integrate((2*c*d*x+b*d)^5*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\frac{{\left(16 \, {\left(p^{2} + 3 \, p + 2\right)} c^{5} d^{5} x^{6} + 48 \, {\left(p^{2} + 3 \, p + 2\right)} b c^{4} d^{5} x^{5} + {\left(p^{2} + 5 \, p + 6\right)} a b^{4} d^{5} - 8 \, a^{2} b^{2} c d^{5} {\left(p + 3\right)} + 32 \, a^{3} c^{2} d^{5} + 8 \, {\left({\left(7 \, p^{2} + 22 \, p + 15\right)} b^{2} c^{3} d^{5} + 2 \, {\left(p^{2} + p\right)} a c^{4} d^{5}\right)} x^{4} + 16 \, {\left({\left(2 \, p^{2} + 7 \, p + 5\right)} b^{3} c^{2} d^{5} + 2 \, {\left(p^{2} + p\right)} a b c^{3} d^{5}\right)} x^{3} + {\left({\left(9 \, p^{2} + 37 \, p + 30\right)} b^{4} c d^{5} + 8 \, {\left(3 \, p^{2} + 5 \, p\right)} a b^{2} c^{2} d^{5} - 32 \, a^{2} c^{3} d^{5} p\right)} x^{2} + {\left({\left(p^{2} + 5 \, p + 6\right)} b^{5} d^{5} + 8 \, {\left(p^{2} + 3 \, p\right)} a b^{3} c d^{5} - 32 \, a^{2} b c^{2} d^{5} p\right)} x\right)} {\left(c x^{2} + b x + a\right)}^{p}}{p^{3} + 6 \, p^{2} + 11 \, p + 6}"," ",0,"(16*(p^2 + 3*p + 2)*c^5*d^5*x^6 + 48*(p^2 + 3*p + 2)*b*c^4*d^5*x^5 + (p^2 + 5*p + 6)*a*b^4*d^5 - 8*a^2*b^2*c*d^5*(p + 3) + 32*a^3*c^2*d^5 + 8*((7*p^2 + 22*p + 15)*b^2*c^3*d^5 + 2*(p^2 + p)*a*c^4*d^5)*x^4 + 16*((2*p^2 + 7*p + 5)*b^3*c^2*d^5 + 2*(p^2 + p)*a*b*c^3*d^5)*x^3 + ((9*p^2 + 37*p + 30)*b^4*c*d^5 + 8*(3*p^2 + 5*p)*a*b^2*c^2*d^5 - 32*a^2*c^3*d^5*p)*x^2 + ((p^2 + 5*p + 6)*b^5*d^5 + 8*(p^2 + 3*p)*a*b^3*c*d^5 - 32*a^2*b*c^2*d^5*p)*x)*(c*x^2 + b*x + a)^p/(p^3 + 6*p^2 + 11*p + 6)","B",0
1437,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^4*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{4} {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^4*(c*x^2 + b*x + a)^p, x)","F",0
1438,1,123,0,1.826407," ","integrate((2*c*d*x+b*d)^3*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\frac{{\left(4 \, c^{3} d^{3} {\left(p + 1\right)} x^{4} + 8 \, b c^{2} d^{3} {\left(p + 1\right)} x^{3} + a b^{2} d^{3} {\left(p + 2\right)} - 4 \, a^{2} c d^{3} + {\left(b^{2} c d^{3} {\left(5 \, p + 6\right)} + 4 \, a c^{2} d^{3} p\right)} x^{2} + {\left(b^{3} d^{3} {\left(p + 2\right)} + 4 \, a b c d^{3} p\right)} x\right)} {\left(c x^{2} + b x + a\right)}^{p}}{p^{2} + 3 \, p + 2}"," ",0,"(4*c^3*d^3*(p + 1)*x^4 + 8*b*c^2*d^3*(p + 1)*x^3 + a*b^2*d^3*(p + 2) - 4*a^2*c*d^3 + (b^2*c*d^3*(5*p + 6) + 4*a*c^2*d^3*p)*x^2 + (b^3*d^3*(p + 2) + 4*a*b*c*d^3*p)*x)*(c*x^2 + b*x + a)^p/(p^2 + 3*p + 2)","A",0
1439,0,0,0,0.000000," ","integrate((2*c*d*x+b*d)^2*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(2 \, c d x + b d\right)}^{2} {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((2*c*d*x + b*d)^2*(c*x^2 + b*x + a)^p, x)","F",0
1440,1,21,0,1.379055," ","integrate((2*c*d*x+b*d)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x + a\right)}^{p + 1} d}{p + 1}"," ",0,"(c*x^2 + b*x + a)^(p + 1)*d/(p + 1)","A",0
1441,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(2*c*d*x+b*d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{2 \, c d x + b d}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(2*c*d*x + b*d), x)","F",0
1442,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(2*c*d*x+b*d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{{\left(2 \, c d x + b d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(2*c*d*x + b*d)^2, x)","F",0
1443,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(2*c*d*x+b*d)^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{{\left(2 \, c d x + b d\right)}^{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(2*c*d*x + b*d)^3, x)","F",0
1444,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(2*c*d*x+b*d)^4,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{{\left(2 \, c d x + b d\right)}^{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(2*c*d*x + b*d)^4, x)","F",0
1445,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(2*c*d*x+b*d)^5,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{{\left(2 \, c d x + b d\right)}^{5}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(2*c*d*x + b*d)^5, x)","F",0
1446,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(2*c*d*x+b*d)^6,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{{\left(2 \, c d x + b d\right)}^{6}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(2*c*d*x + b*d)^6, x)","F",0
1447,1,12,0,1.289428," ","integrate((1+x)/(x^2+2*x-3)^(2/3),x, algorithm=""maxima"")","\frac{3}{2} \, {\left(x^{2} + 2 \, x - 3\right)}^{\frac{1}{3}}"," ",0,"3/2*(x^2 + 2*x - 3)^(1/3)","A",0
1448,1,15,0,1.348134," ","integrate((c*x+b)/(c*x^2+2*b*x+a)^(3/7),x, algorithm=""maxima"")","\frac{7}{8} \, {\left(c x^{2} + 2 \, b x + a\right)}^{\frac{4}{7}}"," ",0,"7/8*(c*x^2 + 2*b*x + a)^(4/7)","A",0
1449,1,27,0,1.354420," ","integrate((1+x)^m*(x^2+2*x+1)^n,x, algorithm=""maxima"")","\frac{{\left(x + 1\right)} e^{\left(m \log\left(x + 1\right) + 2 \, n \log\left(x + 1\right)\right)}}{m + 2 \, n + 1}"," ",0,"(x + 1)*e^(m*log(x + 1) + 2*n*log(x + 1))/(m + 2*n + 1)","A",0
1450,1,79,0,3.159924," ","integrate((1/2*b*e/c+e*x)^m*(1/4/c*b^2+b*x+c*x^2)^n,x, algorithm=""maxima"")","\frac{{\left(2 \, c e^{m} x + b e^{m}\right)} c^{-m - n - 1} e^{\left(m \log\left(2 \, c x + b\right) + 2 \, n \log\left(2 \, c x + b\right)\right)}}{{\left(2^{2 \, n + 2} n + 2^{2 \, n + 1}\right)} 2^{m} + 2^{m + 2 \, n + 1} m}"," ",0,"(2*c*e^m*x + b*e^m)*c^(-m - n - 1)*e^(m*log(2*c*x + b) + 2*n*log(2*c*x + b))/((2^(2*n + 2)*n + 2^(2*n + 1))*2^m + 2^(m + 2*n + 1)*m)","A",0
1451,1,156,0,1.367705," ","integrate((e*x+d)^4*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{7} \, b^{2} e^{4} x^{7} + a^{2} d^{4} x + \frac{1}{3} \, {\left(2 \, b^{2} d e^{3} + a b e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(6 \, b^{2} d^{2} e^{2} + 8 \, a b d e^{3} + a^{2} e^{4}\right)} x^{5} + {\left(b^{2} d^{3} e + 3 \, a b d^{2} e^{2} + a^{2} d e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(b^{2} d^{4} + 8 \, a b d^{3} e + 6 \, a^{2} d^{2} e^{2}\right)} x^{3} + {\left(a b d^{4} + 2 \, a^{2} d^{3} e\right)} x^{2}"," ",0,"1/7*b^2*e^4*x^7 + a^2*d^4*x + 1/3*(2*b^2*d*e^3 + a*b*e^4)*x^6 + 1/5*(6*b^2*d^2*e^2 + 8*a*b*d*e^3 + a^2*e^4)*x^5 + (b^2*d^3*e + 3*a*b*d^2*e^2 + a^2*d*e^3)*x^4 + 1/3*(b^2*d^4 + 8*a*b*d^3*e + 6*a^2*d^2*e^2)*x^3 + (a*b*d^4 + 2*a^2*d^3*e)*x^2","B",0
1452,1,124,0,1.369174," ","integrate((e*x+d)^3*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{6} \, b^{2} e^{3} x^{6} + a^{2} d^{3} x + \frac{1}{5} \, {\left(3 \, b^{2} d e^{2} + 2 \, a b e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(3 \, b^{2} d^{2} e + 6 \, a b d e^{2} + a^{2} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(b^{2} d^{3} + 6 \, a b d^{2} e + 3 \, a^{2} d e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b d^{3} + 3 \, a^{2} d^{2} e\right)} x^{2}"," ",0,"1/6*b^2*e^3*x^6 + a^2*d^3*x + 1/5*(3*b^2*d*e^2 + 2*a*b*e^3)*x^5 + 1/4*(3*b^2*d^2*e + 6*a*b*d*e^2 + a^2*e^3)*x^4 + 1/3*(b^2*d^3 + 6*a*b*d^2*e + 3*a^2*d*e^2)*x^3 + 1/2*(2*a*b*d^3 + 3*a^2*d^2*e)*x^2","B",0
1453,1,81,0,1.380728," ","integrate((e*x+d)^2*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{5} \, b^{2} e^{2} x^{5} + a^{2} d^{2} x + \frac{1}{2} \, {\left(b^{2} d e + a b e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(b^{2} d^{2} + 4 \, a b d e + a^{2} e^{2}\right)} x^{3} + {\left(a b d^{2} + a^{2} d e\right)} x^{2}"," ",0,"1/5*b^2*e^2*x^5 + a^2*d^2*x + 1/2*(b^2*d*e + a*b*e^2)*x^4 + 1/3*(b^2*d^2 + 4*a*b*d*e + a^2*e^2)*x^3 + (a*b*d^2 + a^2*d*e)*x^2","A",0
1454,1,48,0,1.343231," ","integrate((e*x+d)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} e x^{4} + a^{2} d x + \frac{1}{3} \, {\left(b^{2} d + 2 \, a b e\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b d + a^{2} e\right)} x^{2}"," ",0,"1/4*b^2*e*x^4 + a^2*d*x + 1/3*(b^2*d + 2*a*b*e)*x^3 + 1/2*(2*a*b*d + a^2*e)*x^2","A",0
1455,1,20,0,1.518417," ","integrate(b^2*x^2+2*a*b*x+a^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} x^{3} + a b x^{2} + a^{2} x"," ",0,"1/3*b^2*x^3 + a*b*x^2 + a^2*x","A",0
1456,1,60,0,1.379711," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d),x, algorithm=""maxima"")","\frac{b^{2} e x^{2} - 2 \, {\left(b^{2} d - 2 \, a b e\right)} x}{2 \, e^{2}} + \frac{{\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{3}}"," ",0,"1/2*(b^2*e*x^2 - 2*(b^2*d - 2*a*b*e)*x)/e^2 + (b^2*d^2 - 2*a*b*d*e + a^2*e^2)*log(e*x + d)/e^3","A",0
1457,1,67,0,1.350965," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{b^{2} x}{e^{2}} - \frac{b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}}{e^{4} x + d e^{3}} - \frac{2 \, {\left(b^{2} d - a b e\right)} \log\left(e x + d\right)}{e^{3}}"," ",0,"b^2*x/e^2 - (b^2*d^2 - 2*a*b*d*e + a^2*e^2)/(e^4*x + d*e^3) - 2*(b^2*d - a*b*e)*log(e*x + d)/e^3","A",0
1458,1,80,0,1.358339," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{3 \, b^{2} d^{2} - 2 \, a b d e - a^{2} e^{2} + 4 \, {\left(b^{2} d e - a b e^{2}\right)} x}{2 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)}} + \frac{b^{2} \log\left(e x + d\right)}{e^{3}}"," ",0,"1/2*(3*b^2*d^2 - 2*a*b*d*e - a^2*e^2 + 4*(b^2*d*e - a*b*e^2)*x)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) + b^2*log(e*x + d)/e^3","A",0
1459,1,84,0,1.359060," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{3 \, b^{2} e^{2} x^{2} + b^{2} d^{2} + a b d e + a^{2} e^{2} + 3 \, {\left(b^{2} d e + a b e^{2}\right)} x}{3 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}}"," ",0,"-1/3*(3*b^2*e^2*x^2 + b^2*d^2 + a*b*d*e + a^2*e^2 + 3*(b^2*d*e + a*b*e^2)*x)/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3)","B",0
1460,1,98,0,1.344489," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{6 \, b^{2} e^{2} x^{2} + b^{2} d^{2} + 2 \, a b d e + 3 \, a^{2} e^{2} + 4 \, {\left(b^{2} d e + 2 \, a b e^{2}\right)} x}{12 \, {\left(e^{7} x^{4} + 4 \, d e^{6} x^{3} + 6 \, d^{2} e^{5} x^{2} + 4 \, d^{3} e^{4} x + d^{4} e^{3}\right)}}"," ",0,"-1/12*(6*b^2*e^2*x^2 + b^2*d^2 + 2*a*b*d*e + 3*a^2*e^2 + 4*(b^2*d*e + 2*a*b*e^2)*x)/(e^7*x^4 + 4*d*e^6*x^3 + 6*d^2*e^5*x^2 + 4*d^3*e^4*x + d^4*e^3)","A",0
1461,1,109,0,1.372432," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{10 \, b^{2} e^{2} x^{2} + b^{2} d^{2} + 3 \, a b d e + 6 \, a^{2} e^{2} + 5 \, {\left(b^{2} d e + 3 \, a b e^{2}\right)} x}{30 \, {\left(e^{8} x^{5} + 5 \, d e^{7} x^{4} + 10 \, d^{2} e^{6} x^{3} + 10 \, d^{3} e^{5} x^{2} + 5 \, d^{4} e^{4} x + d^{5} e^{3}\right)}}"," ",0,"-1/30*(10*b^2*e^2*x^2 + b^2*d^2 + 3*a*b*d*e + 6*a^2*e^2 + 5*(b^2*d*e + 3*a*b*e^2)*x)/(e^8*x^5 + 5*d*e^7*x^4 + 10*d^2*e^6*x^3 + 10*d^3*e^5*x^2 + 5*d^4*e^4*x + d^5*e^3)","A",0
1462,1,120,0,1.438462," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{15 \, b^{2} e^{2} x^{2} + b^{2} d^{2} + 4 \, a b d e + 10 \, a^{2} e^{2} + 6 \, {\left(b^{2} d e + 4 \, a b e^{2}\right)} x}{60 \, {\left(e^{9} x^{6} + 6 \, d e^{8} x^{5} + 15 \, d^{2} e^{7} x^{4} + 20 \, d^{3} e^{6} x^{3} + 15 \, d^{4} e^{5} x^{2} + 6 \, d^{5} e^{4} x + d^{6} e^{3}\right)}}"," ",0,"-1/60*(15*b^2*e^2*x^2 + b^2*d^2 + 4*a*b*d*e + 10*a^2*e^2 + 6*(b^2*d*e + 4*a*b*e^2)*x)/(e^9*x^6 + 6*d*e^8*x^5 + 15*d^2*e^7*x^4 + 20*d^3*e^6*x^3 + 15*d^4*e^5*x^2 + 6*d^5*e^4*x + d^6*e^3)","B",0
1463,1,418,0,1.356523," ","integrate((e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{11} \, b^{4} e^{6} x^{11} + a^{4} d^{6} x + \frac{1}{5} \, {\left(3 \, b^{4} d e^{5} + 2 \, a b^{3} e^{6}\right)} x^{10} + \frac{1}{3} \, {\left(5 \, b^{4} d^{2} e^{4} + 8 \, a b^{3} d e^{5} + 2 \, a^{2} b^{2} e^{6}\right)} x^{9} + \frac{1}{2} \, {\left(5 \, b^{4} d^{3} e^{3} + 15 \, a b^{3} d^{2} e^{4} + 9 \, a^{2} b^{2} d e^{5} + a^{3} b e^{6}\right)} x^{8} + \frac{1}{7} \, {\left(15 \, b^{4} d^{4} e^{2} + 80 \, a b^{3} d^{3} e^{3} + 90 \, a^{2} b^{2} d^{2} e^{4} + 24 \, a^{3} b d e^{5} + a^{4} e^{6}\right)} x^{7} + {\left(b^{4} d^{5} e + 10 \, a b^{3} d^{4} e^{2} + 20 \, a^{2} b^{2} d^{3} e^{3} + 10 \, a^{3} b d^{2} e^{4} + a^{4} d e^{5}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} d^{6} + 24 \, a b^{3} d^{5} e + 90 \, a^{2} b^{2} d^{4} e^{2} + 80 \, a^{3} b d^{3} e^{3} + 15 \, a^{4} d^{2} e^{4}\right)} x^{5} + {\left(a b^{3} d^{6} + 9 \, a^{2} b^{2} d^{5} e + 15 \, a^{3} b d^{4} e^{2} + 5 \, a^{4} d^{3} e^{3}\right)} x^{4} + {\left(2 \, a^{2} b^{2} d^{6} + 8 \, a^{3} b d^{5} e + 5 \, a^{4} d^{4} e^{2}\right)} x^{3} + {\left(2 \, a^{3} b d^{6} + 3 \, a^{4} d^{5} e\right)} x^{2}"," ",0,"1/11*b^4*e^6*x^11 + a^4*d^6*x + 1/5*(3*b^4*d*e^5 + 2*a*b^3*e^6)*x^10 + 1/3*(5*b^4*d^2*e^4 + 8*a*b^3*d*e^5 + 2*a^2*b^2*e^6)*x^9 + 1/2*(5*b^4*d^3*e^3 + 15*a*b^3*d^2*e^4 + 9*a^2*b^2*d*e^5 + a^3*b*e^6)*x^8 + 1/7*(15*b^4*d^4*e^2 + 80*a*b^3*d^3*e^3 + 90*a^2*b^2*d^2*e^4 + 24*a^3*b*d*e^5 + a^4*e^6)*x^7 + (b^4*d^5*e + 10*a*b^3*d^4*e^2 + 20*a^2*b^2*d^3*e^3 + 10*a^3*b*d^2*e^4 + a^4*d*e^5)*x^6 + 1/5*(b^4*d^6 + 24*a*b^3*d^5*e + 90*a^2*b^2*d^4*e^2 + 80*a^3*b*d^3*e^3 + 15*a^4*d^2*e^4)*x^5 + (a*b^3*d^6 + 9*a^2*b^2*d^5*e + 15*a^3*b*d^4*e^2 + 5*a^4*d^3*e^3)*x^4 + (2*a^2*b^2*d^6 + 8*a^3*b*d^5*e + 5*a^4*d^4*e^2)*x^3 + (2*a^3*b*d^6 + 3*a^4*d^5*e)*x^2","B",0
1464,1,360,0,1.390650," ","integrate((e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{10} \, b^{4} e^{5} x^{10} + a^{4} d^{5} x + \frac{1}{9} \, {\left(5 \, b^{4} d e^{4} + 4 \, a b^{3} e^{5}\right)} x^{9} + \frac{1}{4} \, {\left(5 \, b^{4} d^{2} e^{3} + 10 \, a b^{3} d e^{4} + 3 \, a^{2} b^{2} e^{5}\right)} x^{8} + \frac{2}{7} \, {\left(5 \, b^{4} d^{3} e^{2} + 20 \, a b^{3} d^{2} e^{3} + 15 \, a^{2} b^{2} d e^{4} + 2 \, a^{3} b e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(5 \, b^{4} d^{4} e + 40 \, a b^{3} d^{3} e^{2} + 60 \, a^{2} b^{2} d^{2} e^{3} + 20 \, a^{3} b d e^{4} + a^{4} e^{5}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} d^{5} + 20 \, a b^{3} d^{4} e + 60 \, a^{2} b^{2} d^{3} e^{2} + 40 \, a^{3} b d^{2} e^{3} + 5 \, a^{4} d e^{4}\right)} x^{5} + \frac{1}{2} \, {\left(2 \, a b^{3} d^{5} + 15 \, a^{2} b^{2} d^{4} e + 20 \, a^{3} b d^{3} e^{2} + 5 \, a^{4} d^{2} e^{3}\right)} x^{4} + \frac{2}{3} \, {\left(3 \, a^{2} b^{2} d^{5} + 10 \, a^{3} b d^{4} e + 5 \, a^{4} d^{3} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b d^{5} + 5 \, a^{4} d^{4} e\right)} x^{2}"," ",0,"1/10*b^4*e^5*x^10 + a^4*d^5*x + 1/9*(5*b^4*d*e^4 + 4*a*b^3*e^5)*x^9 + 1/4*(5*b^4*d^2*e^3 + 10*a*b^3*d*e^4 + 3*a^2*b^2*e^5)*x^8 + 2/7*(5*b^4*d^3*e^2 + 20*a*b^3*d^2*e^3 + 15*a^2*b^2*d*e^4 + 2*a^3*b*e^5)*x^7 + 1/6*(5*b^4*d^4*e + 40*a*b^3*d^3*e^2 + 60*a^2*b^2*d^2*e^3 + 20*a^3*b*d*e^4 + a^4*e^5)*x^6 + 1/5*(b^4*d^5 + 20*a*b^3*d^4*e + 60*a^2*b^2*d^3*e^2 + 40*a^3*b*d^2*e^3 + 5*a^4*d*e^4)*x^5 + 1/2*(2*a*b^3*d^5 + 15*a^2*b^2*d^4*e + 20*a^3*b*d^3*e^2 + 5*a^4*d^2*e^3)*x^4 + 2/3*(3*a^2*b^2*d^5 + 10*a^3*b*d^4*e + 5*a^4*d^3*e^2)*x^3 + 1/2*(4*a^3*b*d^5 + 5*a^4*d^4*e)*x^2","B",0
1465,1,285,0,1.295379," ","integrate((e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{9} \, b^{4} e^{4} x^{9} + a^{4} d^{4} x + \frac{1}{2} \, {\left(b^{4} d e^{3} + a b^{3} e^{4}\right)} x^{8} + \frac{2}{7} \, {\left(3 \, b^{4} d^{2} e^{2} + 8 \, a b^{3} d e^{3} + 3 \, a^{2} b^{2} e^{4}\right)} x^{7} + \frac{2}{3} \, {\left(b^{4} d^{3} e + 6 \, a b^{3} d^{2} e^{2} + 6 \, a^{2} b^{2} d e^{3} + a^{3} b e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} d^{4} + 16 \, a b^{3} d^{3} e + 36 \, a^{2} b^{2} d^{2} e^{2} + 16 \, a^{3} b d e^{3} + a^{4} e^{4}\right)} x^{5} + {\left(a b^{3} d^{4} + 6 \, a^{2} b^{2} d^{3} e + 6 \, a^{3} b d^{2} e^{2} + a^{4} d e^{3}\right)} x^{4} + \frac{2}{3} \, {\left(3 \, a^{2} b^{2} d^{4} + 8 \, a^{3} b d^{3} e + 3 \, a^{4} d^{2} e^{2}\right)} x^{3} + 2 \, {\left(a^{3} b d^{4} + a^{4} d^{3} e\right)} x^{2}"," ",0,"1/9*b^4*e^4*x^9 + a^4*d^4*x + 1/2*(b^4*d*e^3 + a*b^3*e^4)*x^8 + 2/7*(3*b^4*d^2*e^2 + 8*a*b^3*d*e^3 + 3*a^2*b^2*e^4)*x^7 + 2/3*(b^4*d^3*e + 6*a*b^3*d^2*e^2 + 6*a^2*b^2*d*e^3 + a^3*b*e^4)*x^6 + 1/5*(b^4*d^4 + 16*a*b^3*d^3*e + 36*a^2*b^2*d^2*e^2 + 16*a^3*b*d*e^3 + a^4*e^4)*x^5 + (a*b^3*d^4 + 6*a^2*b^2*d^3*e + 6*a^3*b*d^2*e^2 + a^4*d*e^3)*x^4 + 2/3*(3*a^2*b^2*d^4 + 8*a^3*b*d^3*e + 3*a^4*d^2*e^2)*x^3 + 2*(a^3*b*d^4 + a^4*d^3*e)*x^2","B",0
1466,1,225,0,0.763503," ","integrate((e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{8} \, b^{4} e^{3} x^{8} + a^{4} d^{3} x + \frac{1}{7} \, {\left(3 \, b^{4} d e^{2} + 4 \, a b^{3} e^{3}\right)} x^{7} + \frac{1}{2} \, {\left(b^{4} d^{2} e + 4 \, a b^{3} d e^{2} + 2 \, a^{2} b^{2} e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} d^{3} + 12 \, a b^{3} d^{2} e + 18 \, a^{2} b^{2} d e^{2} + 4 \, a^{3} b e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(4 \, a b^{3} d^{3} + 18 \, a^{2} b^{2} d^{2} e + 12 \, a^{3} b d e^{2} + a^{4} e^{3}\right)} x^{4} + {\left(2 \, a^{2} b^{2} d^{3} + 4 \, a^{3} b d^{2} e + a^{4} d e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b d^{3} + 3 \, a^{4} d^{2} e\right)} x^{2}"," ",0,"1/8*b^4*e^3*x^8 + a^4*d^3*x + 1/7*(3*b^4*d*e^2 + 4*a*b^3*e^3)*x^7 + 1/2*(b^4*d^2*e + 4*a*b^3*d*e^2 + 2*a^2*b^2*e^3)*x^6 + 1/5*(b^4*d^3 + 12*a*b^3*d^2*e + 18*a^2*b^2*d*e^2 + 4*a^3*b*e^3)*x^5 + 1/4*(4*a*b^3*d^3 + 18*a^2*b^2*d^2*e + 12*a^3*b*d*e^2 + a^4*e^3)*x^4 + (2*a^2*b^2*d^3 + 4*a^3*b*d^2*e + a^4*d*e^2)*x^3 + 1/2*(4*a^3*b*d^3 + 3*a^4*d^2*e)*x^2","B",0
1467,1,156,0,1.376919," ","integrate((e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{7} \, b^{4} e^{2} x^{7} + a^{4} d^{2} x + \frac{1}{3} \, {\left(b^{4} d e + 2 \, a b^{3} e^{2}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} d^{2} + 8 \, a b^{3} d e + 6 \, a^{2} b^{2} e^{2}\right)} x^{5} + {\left(a b^{3} d^{2} + 3 \, a^{2} b^{2} d e + a^{3} b e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, a^{2} b^{2} d^{2} + 8 \, a^{3} b d e + a^{4} e^{2}\right)} x^{3} + {\left(2 \, a^{3} b d^{2} + a^{4} d e\right)} x^{2}"," ",0,"1/7*b^4*e^2*x^7 + a^4*d^2*x + 1/3*(b^4*d*e + 2*a*b^3*e^2)*x^6 + 1/5*(b^4*d^2 + 8*a*b^3*d*e + 6*a^2*b^2*e^2)*x^5 + (a*b^3*d^2 + 3*a^2*b^2*d*e + a^3*b*e^2)*x^4 + 1/3*(6*a^2*b^2*d^2 + 8*a^3*b*d*e + a^4*e^2)*x^3 + (2*a^3*b*d^2 + a^4*d*e)*x^2","B",0
1468,1,96,0,1.353312," ","integrate((e*x+d)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{6} \, b^{4} e x^{6} + a^{4} d x + \frac{1}{5} \, {\left(b^{4} d + 4 \, a b^{3} e\right)} x^{5} + \frac{1}{2} \, {\left(2 \, a b^{3} d + 3 \, a^{2} b^{2} e\right)} x^{4} + \frac{2}{3} \, {\left(3 \, a^{2} b^{2} d + 2 \, a^{3} b e\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b d + a^{4} e\right)} x^{2}"," ",0,"1/6*b^4*e*x^6 + a^4*d*x + 1/5*(b^4*d + 4*a*b^3*e)*x^5 + 1/2*(2*a*b^3*d + 3*a^2*b^2*e)*x^4 + 2/3*(3*a^2*b^2*d + 2*a^3*b*e)*x^3 + 1/2*(4*a^3*b*d + a^4*e)*x^2","B",0
1469,1,53,0,1.279330," ","integrate((b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{5} \, b^{4} x^{5} + a b^{3} x^{4} + \frac{4}{3} \, a^{2} b^{2} x^{3} + a^{4} x + \frac{2}{3} \, {\left(b^{2} x^{3} + 3 \, a b x^{2}\right)} a^{2}"," ",0,"1/5*b^4*x^5 + a*b^3*x^4 + 4/3*a^2*b^2*x^3 + a^4*x + 2/3*(b^2*x^3 + 3*a*b*x^2)*a^2","B",0
1470,1,177,0,1.327460," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d),x, algorithm=""maxima"")","\frac{3 \, b^{4} e^{3} x^{4} - 4 \, {\left(b^{4} d e^{2} - 4 \, a b^{3} e^{3}\right)} x^{3} + 6 \, {\left(b^{4} d^{2} e - 4 \, a b^{3} d e^{2} + 6 \, a^{2} b^{2} e^{3}\right)} x^{2} - 12 \, {\left(b^{4} d^{3} - 4 \, a b^{3} d^{2} e + 6 \, a^{2} b^{2} d e^{2} - 4 \, a^{3} b e^{3}\right)} x}{12 \, e^{4}} + \frac{{\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)} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/12*(3*b^4*e^3*x^4 - 4*(b^4*d*e^2 - 4*a*b^3*e^3)*x^3 + 6*(b^4*d^2*e - 4*a*b^3*d*e^2 + 6*a^2*b^2*e^3)*x^2 - 12*(b^4*d^3 - 4*a*b^3*d^2*e + 6*a^2*b^2*d*e^2 - 4*a^3*b*e^3)*x)/e^4 + (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)*log(e*x + d)/e^5","A",0
1471,1,183,0,1.351414," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{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}}{e^{6} x + d e^{5}} + \frac{b^{4} e^{2} x^{3} - 3 \, {\left(b^{4} d e - 2 \, a b^{3} e^{2}\right)} x^{2} + 3 \, {\left(3 \, b^{4} d^{2} - 8 \, a b^{3} d e + 6 \, a^{2} b^{2} e^{2}\right)} x}{3 \, e^{4}} - \frac{4 \, {\left(b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"-(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)/(e^6*x + d*e^5) + 1/3*(b^4*e^2*x^3 - 3*(b^4*d*e - 2*a*b^3*e^2)*x^2 + 3*(3*b^4*d^2 - 8*a*b^3*d*e + 6*a^2*b^2*e^2)*x)/e^4 - 4*(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3)*log(e*x + d)/e^5","A",0
1472,1,191,0,1.401204," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^3,x, algorithm=""maxima"")","\frac{7 \, b^{4} d^{4} - 20 \, a b^{3} d^{3} e + 18 \, a^{2} b^{2} d^{2} e^{2} - 4 \, a^{3} b d e^{3} - a^{4} e^{4} + 8 \, {\left(b^{4} d^{3} e - 3 \, a b^{3} d^{2} e^{2} + 3 \, a^{2} b^{2} d e^{3} - a^{3} b e^{4}\right)} x}{2 \, {\left(e^{7} x^{2} + 2 \, d e^{6} x + d^{2} e^{5}\right)}} + \frac{b^{4} e x^{2} - 2 \, {\left(3 \, b^{4} d - 4 \, a b^{3} e\right)} x}{2 \, e^{4}} + \frac{6 \, {\left(b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/2*(7*b^4*d^4 - 20*a*b^3*d^3*e + 18*a^2*b^2*d^2*e^2 - 4*a^3*b*d*e^3 - a^4*e^4 + 8*(b^4*d^3*e - 3*a*b^3*d^2*e^2 + 3*a^2*b^2*d*e^3 - a^3*b*e^4)*x)/(e^7*x^2 + 2*d*e^6*x + d^2*e^5) + 1/2*(b^4*e*x^2 - 2*(3*b^4*d - 4*a*b^3*e)*x)/e^4 + 6*(b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2)*log(e*x + d)/e^5","A",0
1473,1,201,0,1.402075," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{b^{4} x}{e^{4}} - \frac{13 \, b^{4} d^{4} - 22 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 2 \, a^{3} b d e^{3} + a^{4} e^{4} + 18 \, {\left(b^{4} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + a^{2} b^{2} e^{4}\right)} x^{2} + 6 \, {\left(5 \, b^{4} d^{3} e - 9 \, a b^{3} d^{2} e^{2} + 3 \, a^{2} b^{2} d e^{3} + a^{3} b e^{4}\right)} x}{3 \, {\left(e^{8} x^{3} + 3 \, d e^{7} x^{2} + 3 \, d^{2} e^{6} x + d^{3} e^{5}\right)}} - \frac{4 \, {\left(b^{4} d - a b^{3} e\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"b^4*x/e^4 - 1/3*(13*b^4*d^4 - 22*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 2*a^3*b*d*e^3 + a^4*e^4 + 18*(b^4*d^2*e^2 - 2*a*b^3*d*e^3 + a^2*b^2*e^4)*x^2 + 6*(5*b^4*d^3*e - 9*a*b^3*d^2*e^2 + 3*a^2*b^2*d*e^3 + a^3*b*e^4)*x)/(e^8*x^3 + 3*d*e^7*x^2 + 3*d^2*e^6*x + d^3*e^5) - 4*(b^4*d - a*b^3*e)*log(e*x + d)/e^5","A",0
1474,1,220,0,1.387952," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^5,x, algorithm=""maxima"")","\frac{25 \, b^{4} d^{4} - 12 \, a b^{3} d^{3} e - 6 \, a^{2} b^{2} d^{2} e^{2} - 4 \, a^{3} b d e^{3} - 3 \, a^{4} e^{4} + 48 \, {\left(b^{4} d e^{3} - a b^{3} e^{4}\right)} x^{3} + 36 \, {\left(3 \, b^{4} d^{2} e^{2} - 2 \, a b^{3} d e^{3} - a^{2} b^{2} e^{4}\right)} x^{2} + 8 \, {\left(11 \, b^{4} d^{3} e - 6 \, a b^{3} d^{2} e^{2} - 3 \, a^{2} b^{2} d e^{3} - 2 \, a^{3} b e^{4}\right)} x}{12 \, {\left(e^{9} x^{4} + 4 \, d e^{8} x^{3} + 6 \, d^{2} e^{7} x^{2} + 4 \, d^{3} e^{6} x + d^{4} e^{5}\right)}} + \frac{b^{4} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/12*(25*b^4*d^4 - 12*a*b^3*d^3*e - 6*a^2*b^2*d^2*e^2 - 4*a^3*b*d*e^3 - 3*a^4*e^4 + 48*(b^4*d*e^3 - a*b^3*e^4)*x^3 + 36*(3*b^4*d^2*e^2 - 2*a*b^3*d*e^3 - a^2*b^2*e^4)*x^2 + 8*(11*b^4*d^3*e - 6*a*b^3*d^2*e^2 - 3*a^2*b^2*d*e^3 - 2*a^3*b*e^4)*x)/(e^9*x^4 + 4*d*e^8*x^3 + 6*d^2*e^7*x^2 + 4*d^3*e^6*x + d^4*e^5) + b^4*log(e*x + d)/e^5","B",0
1475,1,215,0,1.466069," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{5 \, b^{4} e^{4} x^{4} + b^{4} d^{4} + a b^{3} d^{3} e + a^{2} b^{2} d^{2} e^{2} + a^{3} b d e^{3} + a^{4} e^{4} + 10 \, {\left(b^{4} d e^{3} + a b^{3} e^{4}\right)} x^{3} + 10 \, {\left(b^{4} d^{2} e^{2} + a b^{3} d e^{3} + a^{2} b^{2} e^{4}\right)} x^{2} + 5 \, {\left(b^{4} d^{3} e + a b^{3} d^{2} e^{2} + a^{2} b^{2} d e^{3} + a^{3} b e^{4}\right)} x}{5 \, {\left(e^{10} x^{5} + 5 \, d e^{9} x^{4} + 10 \, d^{2} e^{8} x^{3} + 10 \, d^{3} e^{7} x^{2} + 5 \, d^{4} e^{6} x + d^{5} e^{5}\right)}}"," ",0,"-1/5*(5*b^4*e^4*x^4 + b^4*d^4 + a*b^3*d^3*e + a^2*b^2*d^2*e^2 + a^3*b*d*e^3 + a^4*e^4 + 10*(b^4*d*e^3 + a*b^3*e^4)*x^3 + 10*(b^4*d^2*e^2 + a*b^3*d*e^3 + a^2*b^2*e^4)*x^2 + 5*(b^4*d^3*e + a*b^3*d^2*e^2 + a^2*b^2*d*e^3 + a^3*b*e^4)*x)/(e^10*x^5 + 5*d*e^9*x^4 + 10*d^2*e^8*x^3 + 10*d^3*e^7*x^2 + 5*d^4*e^6*x + d^5*e^5)","B",0
1476,1,236,0,1.480094," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{15 \, b^{4} e^{4} x^{4} + b^{4} d^{4} + 2 \, a b^{3} d^{3} e + 3 \, a^{2} b^{2} d^{2} e^{2} + 4 \, a^{3} b d e^{3} + 5 \, a^{4} e^{4} + 20 \, {\left(b^{4} d e^{3} + 2 \, a b^{3} e^{4}\right)} x^{3} + 15 \, {\left(b^{4} d^{2} e^{2} + 2 \, a b^{3} d e^{3} + 3 \, a^{2} b^{2} e^{4}\right)} x^{2} + 6 \, {\left(b^{4} d^{3} e + 2 \, a b^{3} d^{2} e^{2} + 3 \, a^{2} b^{2} d e^{3} + 4 \, a^{3} b e^{4}\right)} x}{30 \, {\left(e^{11} x^{6} + 6 \, d e^{10} x^{5} + 15 \, d^{2} e^{9} x^{4} + 20 \, d^{3} e^{8} x^{3} + 15 \, d^{4} e^{7} x^{2} + 6 \, d^{5} e^{6} x + d^{6} e^{5}\right)}}"," ",0,"-1/30*(15*b^4*e^4*x^4 + b^4*d^4 + 2*a*b^3*d^3*e + 3*a^2*b^2*d^2*e^2 + 4*a^3*b*d*e^3 + 5*a^4*e^4 + 20*(b^4*d*e^3 + 2*a*b^3*e^4)*x^3 + 15*(b^4*d^2*e^2 + 2*a*b^3*d*e^3 + 3*a^2*b^2*e^4)*x^2 + 6*(b^4*d^3*e + 2*a*b^3*d^2*e^2 + 3*a^2*b^2*d*e^3 + 4*a^3*b*e^4)*x)/(e^11*x^6 + 6*d*e^10*x^5 + 15*d^2*e^9*x^4 + 20*d^3*e^8*x^3 + 15*d^4*e^7*x^2 + 6*d^5*e^6*x + d^6*e^5)","B",0
1477,1,247,0,1.543739," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{35 \, b^{4} e^{4} x^{4} + b^{4} d^{4} + 3 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 10 \, a^{3} b d e^{3} + 15 \, a^{4} e^{4} + 35 \, {\left(b^{4} d e^{3} + 3 \, a b^{3} e^{4}\right)} x^{3} + 21 \, {\left(b^{4} d^{2} e^{2} + 3 \, a b^{3} d e^{3} + 6 \, a^{2} b^{2} e^{4}\right)} x^{2} + 7 \, {\left(b^{4} d^{3} e + 3 \, a b^{3} d^{2} e^{2} + 6 \, a^{2} b^{2} d e^{3} + 10 \, a^{3} b e^{4}\right)} x}{105 \, {\left(e^{12} x^{7} + 7 \, d e^{11} x^{6} + 21 \, d^{2} e^{10} x^{5} + 35 \, d^{3} e^{9} x^{4} + 35 \, d^{4} e^{8} x^{3} + 21 \, d^{5} e^{7} x^{2} + 7 \, d^{6} e^{6} x + d^{7} e^{5}\right)}}"," ",0,"-1/105*(35*b^4*e^4*x^4 + b^4*d^4 + 3*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 10*a^3*b*d*e^3 + 15*a^4*e^4 + 35*(b^4*d*e^3 + 3*a*b^3*e^4)*x^3 + 21*(b^4*d^2*e^2 + 3*a*b^3*d*e^3 + 6*a^2*b^2*e^4)*x^2 + 7*(b^4*d^3*e + 3*a*b^3*d^2*e^2 + 6*a^2*b^2*d*e^3 + 10*a^3*b*e^4)*x)/(e^12*x^7 + 7*d*e^11*x^6 + 21*d^2*e^10*x^5 + 35*d^3*e^9*x^4 + 35*d^4*e^8*x^3 + 21*d^5*e^7*x^2 + 7*d^6*e^6*x + d^7*e^5)","B",0
1478,1,258,0,1.504703," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{70 \, b^{4} e^{4} x^{4} + b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 10 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} + 35 \, a^{4} e^{4} + 56 \, {\left(b^{4} d e^{3} + 4 \, a b^{3} e^{4}\right)} x^{3} + 28 \, {\left(b^{4} d^{2} e^{2} + 4 \, a b^{3} d e^{3} + 10 \, a^{2} b^{2} e^{4}\right)} x^{2} + 8 \, {\left(b^{4} d^{3} e + 4 \, a b^{3} d^{2} e^{2} + 10 \, a^{2} b^{2} d e^{3} + 20 \, a^{3} b e^{4}\right)} x}{280 \, {\left(e^{13} x^{8} + 8 \, d e^{12} x^{7} + 28 \, d^{2} e^{11} x^{6} + 56 \, d^{3} e^{10} x^{5} + 70 \, d^{4} e^{9} x^{4} + 56 \, d^{5} e^{8} x^{3} + 28 \, d^{6} e^{7} x^{2} + 8 \, d^{7} e^{6} x + d^{8} e^{5}\right)}}"," ",0,"-1/280*(70*b^4*e^4*x^4 + b^4*d^4 + 4*a*b^3*d^3*e + 10*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 + 35*a^4*e^4 + 56*(b^4*d*e^3 + 4*a*b^3*e^4)*x^3 + 28*(b^4*d^2*e^2 + 4*a*b^3*d*e^3 + 10*a^2*b^2*e^4)*x^2 + 8*(b^4*d^3*e + 4*a*b^3*d^2*e^2 + 10*a^2*b^2*d*e^3 + 20*a^3*b*e^4)*x)/(e^13*x^8 + 8*d*e^12*x^7 + 28*d^2*e^11*x^6 + 56*d^3*e^10*x^5 + 70*d^4*e^9*x^4 + 56*d^5*e^8*x^3 + 28*d^6*e^7*x^2 + 8*d^7*e^6*x + d^8*e^5)","B",0
1479,1,269,0,1.603125," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{126 \, b^{4} e^{4} x^{4} + b^{4} d^{4} + 5 \, a b^{3} d^{3} e + 15 \, a^{2} b^{2} d^{2} e^{2} + 35 \, a^{3} b d e^{3} + 70 \, a^{4} e^{4} + 84 \, {\left(b^{4} d e^{3} + 5 \, a b^{3} e^{4}\right)} x^{3} + 36 \, {\left(b^{4} d^{2} e^{2} + 5 \, a b^{3} d e^{3} + 15 \, a^{2} b^{2} e^{4}\right)} x^{2} + 9 \, {\left(b^{4} d^{3} e + 5 \, a b^{3} d^{2} e^{2} + 15 \, a^{2} b^{2} d e^{3} + 35 \, a^{3} b e^{4}\right)} x}{630 \, {\left(e^{14} x^{9} + 9 \, d e^{13} x^{8} + 36 \, d^{2} e^{12} x^{7} + 84 \, d^{3} e^{11} x^{6} + 126 \, d^{4} e^{10} x^{5} + 126 \, d^{5} e^{9} x^{4} + 84 \, d^{6} e^{8} x^{3} + 36 \, d^{7} e^{7} x^{2} + 9 \, d^{8} e^{6} x + d^{9} e^{5}\right)}}"," ",0,"-1/630*(126*b^4*e^4*x^4 + b^4*d^4 + 5*a*b^3*d^3*e + 15*a^2*b^2*d^2*e^2 + 35*a^3*b*d*e^3 + 70*a^4*e^4 + 84*(b^4*d*e^3 + 5*a*b^3*e^4)*x^3 + 36*(b^4*d^2*e^2 + 5*a*b^3*d*e^3 + 15*a^2*b^2*e^4)*x^2 + 9*(b^4*d^3*e + 5*a*b^3*d^2*e^2 + 15*a^2*b^2*d*e^3 + 35*a^3*b*e^4)*x)/(e^14*x^9 + 9*d*e^13*x^8 + 36*d^2*e^12*x^7 + 84*d^3*e^11*x^6 + 126*d^4*e^10*x^5 + 126*d^5*e^9*x^4 + 84*d^6*e^8*x^3 + 36*d^7*e^7*x^2 + 9*d^8*e^6*x + d^9*e^5)","B",0
1480,1,280,0,1.615228," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^11,x, algorithm=""maxima"")","-\frac{210 \, b^{4} e^{4} x^{4} + b^{4} d^{4} + 6 \, a b^{3} d^{3} e + 21 \, a^{2} b^{2} d^{2} e^{2} + 56 \, a^{3} b d e^{3} + 126 \, a^{4} e^{4} + 120 \, {\left(b^{4} d e^{3} + 6 \, a b^{3} e^{4}\right)} x^{3} + 45 \, {\left(b^{4} d^{2} e^{2} + 6 \, a b^{3} d e^{3} + 21 \, a^{2} b^{2} e^{4}\right)} x^{2} + 10 \, {\left(b^{4} d^{3} e + 6 \, a b^{3} d^{2} e^{2} + 21 \, a^{2} b^{2} d e^{3} + 56 \, a^{3} b e^{4}\right)} x}{1260 \, {\left(e^{15} x^{10} + 10 \, d e^{14} x^{9} + 45 \, d^{2} e^{13} x^{8} + 120 \, d^{3} e^{12} x^{7} + 210 \, d^{4} e^{11} x^{6} + 252 \, d^{5} e^{10} x^{5} + 210 \, d^{6} e^{9} x^{4} + 120 \, d^{7} e^{8} x^{3} + 45 \, d^{8} e^{7} x^{2} + 10 \, d^{9} e^{6} x + d^{10} e^{5}\right)}}"," ",0,"-1/1260*(210*b^4*e^4*x^4 + b^4*d^4 + 6*a*b^3*d^3*e + 21*a^2*b^2*d^2*e^2 + 56*a^3*b*d*e^3 + 126*a^4*e^4 + 120*(b^4*d*e^3 + 6*a*b^3*e^4)*x^3 + 45*(b^4*d^2*e^2 + 6*a*b^3*d*e^3 + 21*a^2*b^2*e^4)*x^2 + 10*(b^4*d^3*e + 6*a*b^3*d^2*e^2 + 21*a^2*b^2*d*e^3 + 56*a^3*b*e^4)*x)/(e^15*x^10 + 10*d*e^14*x^9 + 45*d^2*e^13*x^8 + 120*d^3*e^12*x^7 + 210*d^4*e^11*x^6 + 252*d^5*e^10*x^5 + 210*d^6*e^9*x^4 + 120*d^7*e^8*x^3 + 45*d^8*e^7*x^2 + 10*d^9*e^6*x + d^10*e^5)","B",0
1481,1,797,0,1.658766," ","integrate((e*x+d)^8*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{15} \, b^{6} e^{8} x^{15} + a^{6} d^{8} x + \frac{1}{7} \, {\left(4 \, b^{6} d e^{7} + 3 \, a b^{5} e^{8}\right)} x^{14} + \frac{1}{13} \, {\left(28 \, b^{6} d^{2} e^{6} + 48 \, a b^{5} d e^{7} + 15 \, a^{2} b^{4} e^{8}\right)} x^{13} + \frac{1}{3} \, {\left(14 \, b^{6} d^{3} e^{5} + 42 \, a b^{5} d^{2} e^{6} + 30 \, a^{2} b^{4} d e^{7} + 5 \, a^{3} b^{3} e^{8}\right)} x^{12} + \frac{1}{11} \, {\left(70 \, b^{6} d^{4} e^{4} + 336 \, a b^{5} d^{3} e^{5} + 420 \, a^{2} b^{4} d^{2} e^{6} + 160 \, a^{3} b^{3} d e^{7} + 15 \, a^{4} b^{2} e^{8}\right)} x^{11} + \frac{1}{5} \, {\left(28 \, b^{6} d^{5} e^{3} + 210 \, a b^{5} d^{4} e^{4} + 420 \, a^{2} b^{4} d^{3} e^{5} + 280 \, a^{3} b^{3} d^{2} e^{6} + 60 \, a^{4} b^{2} d e^{7} + 3 \, a^{5} b e^{8}\right)} x^{10} + \frac{1}{9} \, {\left(28 \, b^{6} d^{6} e^{2} + 336 \, a b^{5} d^{5} e^{3} + 1050 \, a^{2} b^{4} d^{4} e^{4} + 1120 \, a^{3} b^{3} d^{3} e^{5} + 420 \, a^{4} b^{2} d^{2} e^{6} + 48 \, a^{5} b d e^{7} + a^{6} e^{8}\right)} x^{9} + {\left(b^{6} d^{7} e + 21 \, a b^{5} d^{6} e^{2} + 105 \, a^{2} b^{4} d^{5} e^{3} + 175 \, a^{3} b^{3} d^{4} e^{4} + 105 \, a^{4} b^{2} d^{3} e^{5} + 21 \, a^{5} b d^{2} e^{6} + a^{6} d e^{7}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} d^{8} + 48 \, a b^{5} d^{7} e + 420 \, a^{2} b^{4} d^{6} e^{2} + 1120 \, a^{3} b^{3} d^{5} e^{3} + 1050 \, a^{4} b^{2} d^{4} e^{4} + 336 \, a^{5} b d^{3} e^{5} + 28 \, a^{6} d^{2} e^{6}\right)} x^{7} + \frac{1}{3} \, {\left(3 \, a b^{5} d^{8} + 60 \, a^{2} b^{4} d^{7} e + 280 \, a^{3} b^{3} d^{6} e^{2} + 420 \, a^{4} b^{2} d^{5} e^{3} + 210 \, a^{5} b d^{4} e^{4} + 28 \, a^{6} d^{3} e^{5}\right)} x^{6} + \frac{1}{5} \, {\left(15 \, a^{2} b^{4} d^{8} + 160 \, a^{3} b^{3} d^{7} e + 420 \, a^{4} b^{2} d^{6} e^{2} + 336 \, a^{5} b d^{5} e^{3} + 70 \, a^{6} d^{4} e^{4}\right)} x^{5} + {\left(5 \, a^{3} b^{3} d^{8} + 30 \, a^{4} b^{2} d^{7} e + 42 \, a^{5} b d^{6} e^{2} + 14 \, a^{6} d^{5} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(15 \, a^{4} b^{2} d^{8} + 48 \, a^{5} b d^{7} e + 28 \, a^{6} d^{6} e^{2}\right)} x^{3} + {\left(3 \, a^{5} b d^{8} + 4 \, a^{6} d^{7} e\right)} x^{2}"," ",0,"1/15*b^6*e^8*x^15 + a^6*d^8*x + 1/7*(4*b^6*d*e^7 + 3*a*b^5*e^8)*x^14 + 1/13*(28*b^6*d^2*e^6 + 48*a*b^5*d*e^7 + 15*a^2*b^4*e^8)*x^13 + 1/3*(14*b^6*d^3*e^5 + 42*a*b^5*d^2*e^6 + 30*a^2*b^4*d*e^7 + 5*a^3*b^3*e^8)*x^12 + 1/11*(70*b^6*d^4*e^4 + 336*a*b^5*d^3*e^5 + 420*a^2*b^4*d^2*e^6 + 160*a^3*b^3*d*e^7 + 15*a^4*b^2*e^8)*x^11 + 1/5*(28*b^6*d^5*e^3 + 210*a*b^5*d^4*e^4 + 420*a^2*b^4*d^3*e^5 + 280*a^3*b^3*d^2*e^6 + 60*a^4*b^2*d*e^7 + 3*a^5*b*e^8)*x^10 + 1/9*(28*b^6*d^6*e^2 + 336*a*b^5*d^5*e^3 + 1050*a^2*b^4*d^4*e^4 + 1120*a^3*b^3*d^3*e^5 + 420*a^4*b^2*d^2*e^6 + 48*a^5*b*d*e^7 + a^6*e^8)*x^9 + (b^6*d^7*e + 21*a*b^5*d^6*e^2 + 105*a^2*b^4*d^5*e^3 + 175*a^3*b^3*d^4*e^4 + 105*a^4*b^2*d^3*e^5 + 21*a^5*b*d^2*e^6 + a^6*d*e^7)*x^8 + 1/7*(b^6*d^8 + 48*a*b^5*d^7*e + 420*a^2*b^4*d^6*e^2 + 1120*a^3*b^3*d^5*e^3 + 1050*a^4*b^2*d^4*e^4 + 336*a^5*b*d^3*e^5 + 28*a^6*d^2*e^6)*x^7 + 1/3*(3*a*b^5*d^8 + 60*a^2*b^4*d^7*e + 280*a^3*b^3*d^6*e^2 + 420*a^4*b^2*d^5*e^3 + 210*a^5*b*d^4*e^4 + 28*a^6*d^3*e^5)*x^6 + 1/5*(15*a^2*b^4*d^8 + 160*a^3*b^3*d^7*e + 420*a^4*b^2*d^6*e^2 + 336*a^5*b*d^5*e^3 + 70*a^6*d^4*e^4)*x^5 + (5*a^3*b^3*d^8 + 30*a^4*b^2*d^7*e + 42*a^5*b*d^6*e^2 + 14*a^6*d^5*e^3)*x^4 + 1/3*(15*a^4*b^2*d^8 + 48*a^5*b*d^7*e + 28*a^6*d^6*e^2)*x^3 + (3*a^5*b*d^8 + 4*a^6*d^7*e)*x^2","B",0
1482,1,706,0,1.500066," ","integrate((e*x+d)^7*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{14} \, b^{6} e^{7} x^{14} + a^{6} d^{7} x + \frac{1}{13} \, {\left(7 \, b^{6} d e^{6} + 6 \, a b^{5} e^{7}\right)} x^{13} + \frac{1}{4} \, {\left(7 \, b^{6} d^{2} e^{5} + 14 \, a b^{5} d e^{6} + 5 \, a^{2} b^{4} e^{7}\right)} x^{12} + \frac{1}{11} \, {\left(35 \, b^{6} d^{3} e^{4} + 126 \, a b^{5} d^{2} e^{5} + 105 \, a^{2} b^{4} d e^{6} + 20 \, a^{3} b^{3} e^{7}\right)} x^{11} + \frac{1}{2} \, {\left(7 \, b^{6} d^{4} e^{3} + 42 \, a b^{5} d^{3} e^{4} + 63 \, a^{2} b^{4} d^{2} e^{5} + 28 \, a^{3} b^{3} d e^{6} + 3 \, a^{4} b^{2} e^{7}\right)} x^{10} + \frac{1}{3} \, {\left(7 \, b^{6} d^{5} e^{2} + 70 \, a b^{5} d^{4} e^{3} + 175 \, a^{2} b^{4} d^{3} e^{4} + 140 \, a^{3} b^{3} d^{2} e^{5} + 35 \, a^{4} b^{2} d e^{6} + 2 \, a^{5} b e^{7}\right)} x^{9} + \frac{1}{8} \, {\left(7 \, b^{6} d^{6} e + 126 \, a b^{5} d^{5} e^{2} + 525 \, a^{2} b^{4} d^{4} e^{3} + 700 \, a^{3} b^{3} d^{3} e^{4} + 315 \, a^{4} b^{2} d^{2} e^{5} + 42 \, a^{5} b d e^{6} + a^{6} e^{7}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} d^{7} + 42 \, a b^{5} d^{6} e + 315 \, a^{2} b^{4} d^{5} e^{2} + 700 \, a^{3} b^{3} d^{4} e^{3} + 525 \, a^{4} b^{2} d^{3} e^{4} + 126 \, a^{5} b d^{2} e^{5} + 7 \, a^{6} d e^{6}\right)} x^{7} + \frac{1}{2} \, {\left(2 \, a b^{5} d^{7} + 35 \, a^{2} b^{4} d^{6} e + 140 \, a^{3} b^{3} d^{5} e^{2} + 175 \, a^{4} b^{2} d^{4} e^{3} + 70 \, a^{5} b d^{3} e^{4} + 7 \, a^{6} d^{2} e^{5}\right)} x^{6} + {\left(3 \, a^{2} b^{4} d^{7} + 28 \, a^{3} b^{3} d^{6} e + 63 \, a^{4} b^{2} d^{5} e^{2} + 42 \, a^{5} b d^{4} e^{3} + 7 \, a^{6} d^{3} e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(20 \, a^{3} b^{3} d^{7} + 105 \, a^{4} b^{2} d^{6} e + 126 \, a^{5} b d^{5} e^{2} + 35 \, a^{6} d^{4} e^{3}\right)} x^{4} + {\left(5 \, a^{4} b^{2} d^{7} + 14 \, a^{5} b d^{6} e + 7 \, a^{6} d^{5} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(6 \, a^{5} b d^{7} + 7 \, a^{6} d^{6} e\right)} x^{2}"," ",0,"1/14*b^6*e^7*x^14 + a^6*d^7*x + 1/13*(7*b^6*d*e^6 + 6*a*b^5*e^7)*x^13 + 1/4*(7*b^6*d^2*e^5 + 14*a*b^5*d*e^6 + 5*a^2*b^4*e^7)*x^12 + 1/11*(35*b^6*d^3*e^4 + 126*a*b^5*d^2*e^5 + 105*a^2*b^4*d*e^6 + 20*a^3*b^3*e^7)*x^11 + 1/2*(7*b^6*d^4*e^3 + 42*a*b^5*d^3*e^4 + 63*a^2*b^4*d^2*e^5 + 28*a^3*b^3*d*e^6 + 3*a^4*b^2*e^7)*x^10 + 1/3*(7*b^6*d^5*e^2 + 70*a*b^5*d^4*e^3 + 175*a^2*b^4*d^3*e^4 + 140*a^3*b^3*d^2*e^5 + 35*a^4*b^2*d*e^6 + 2*a^5*b*e^7)*x^9 + 1/8*(7*b^6*d^6*e + 126*a*b^5*d^5*e^2 + 525*a^2*b^4*d^4*e^3 + 700*a^3*b^3*d^3*e^4 + 315*a^4*b^2*d^2*e^5 + 42*a^5*b*d*e^6 + a^6*e^7)*x^8 + 1/7*(b^6*d^7 + 42*a*b^5*d^6*e + 315*a^2*b^4*d^5*e^2 + 700*a^3*b^3*d^4*e^3 + 525*a^4*b^2*d^3*e^4 + 126*a^5*b*d^2*e^5 + 7*a^6*d*e^6)*x^7 + 1/2*(2*a*b^5*d^7 + 35*a^2*b^4*d^6*e + 140*a^3*b^3*d^5*e^2 + 175*a^4*b^2*d^4*e^3 + 70*a^5*b*d^3*e^4 + 7*a^6*d^2*e^5)*x^6 + (3*a^2*b^4*d^7 + 28*a^3*b^3*d^6*e + 63*a^4*b^2*d^5*e^2 + 42*a^5*b*d^4*e^3 + 7*a^6*d^3*e^4)*x^5 + 1/4*(20*a^3*b^3*d^7 + 105*a^4*b^2*d^6*e + 126*a^5*b*d^5*e^2 + 35*a^6*d^4*e^3)*x^4 + (5*a^4*b^2*d^7 + 14*a^5*b*d^6*e + 7*a^6*d^5*e^2)*x^3 + 1/2*(6*a^5*b*d^7 + 7*a^6*d^6*e)*x^2","B",0
1483,1,599,0,1.438809," ","integrate((e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{13} \, b^{6} e^{6} x^{13} + a^{6} d^{6} x + \frac{1}{2} \, {\left(b^{6} d e^{5} + a b^{5} e^{6}\right)} x^{12} + \frac{3}{11} \, {\left(5 \, b^{6} d^{2} e^{4} + 12 \, a b^{5} d e^{5} + 5 \, a^{2} b^{4} e^{6}\right)} x^{11} + {\left(2 \, b^{6} d^{3} e^{3} + 9 \, a b^{5} d^{2} e^{4} + 9 \, a^{2} b^{4} d e^{5} + 2 \, a^{3} b^{3} e^{6}\right)} x^{10} + \frac{5}{3} \, {\left(b^{6} d^{4} e^{2} + 8 \, a b^{5} d^{3} e^{3} + 15 \, a^{2} b^{4} d^{2} e^{4} + 8 \, a^{3} b^{3} d e^{5} + a^{4} b^{2} e^{6}\right)} x^{9} + \frac{3}{4} \, {\left(b^{6} d^{5} e + 15 \, a b^{5} d^{4} e^{2} + 50 \, a^{2} b^{4} d^{3} e^{3} + 50 \, a^{3} b^{3} d^{2} e^{4} + 15 \, a^{4} b^{2} d e^{5} + a^{5} b e^{6}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} d^{6} + 36 \, a b^{5} d^{5} e + 225 \, a^{2} b^{4} d^{4} e^{2} + 400 \, a^{3} b^{3} d^{3} e^{3} + 225 \, a^{4} b^{2} d^{2} e^{4} + 36 \, a^{5} b d e^{5} + a^{6} e^{6}\right)} x^{7} + {\left(a b^{5} d^{6} + 15 \, a^{2} b^{4} d^{5} e + 50 \, a^{3} b^{3} d^{4} e^{2} + 50 \, a^{4} b^{2} d^{3} e^{3} + 15 \, a^{5} b d^{2} e^{4} + a^{6} d e^{5}\right)} x^{6} + 3 \, {\left(a^{2} b^{4} d^{6} + 8 \, a^{3} b^{3} d^{5} e + 15 \, a^{4} b^{2} d^{4} e^{2} + 8 \, a^{5} b d^{3} e^{3} + a^{6} d^{2} e^{4}\right)} x^{5} + \frac{5}{2} \, {\left(2 \, a^{3} b^{3} d^{6} + 9 \, a^{4} b^{2} d^{5} e + 9 \, a^{5} b d^{4} e^{2} + 2 \, a^{6} d^{3} e^{3}\right)} x^{4} + {\left(5 \, a^{4} b^{2} d^{6} + 12 \, a^{5} b d^{5} e + 5 \, a^{6} d^{4} e^{2}\right)} x^{3} + 3 \, {\left(a^{5} b d^{6} + a^{6} d^{5} e\right)} x^{2}"," ",0,"1/13*b^6*e^6*x^13 + a^6*d^6*x + 1/2*(b^6*d*e^5 + a*b^5*e^6)*x^12 + 3/11*(5*b^6*d^2*e^4 + 12*a*b^5*d*e^5 + 5*a^2*b^4*e^6)*x^11 + (2*b^6*d^3*e^3 + 9*a*b^5*d^2*e^4 + 9*a^2*b^4*d*e^5 + 2*a^3*b^3*e^6)*x^10 + 5/3*(b^6*d^4*e^2 + 8*a*b^5*d^3*e^3 + 15*a^2*b^4*d^2*e^4 + 8*a^3*b^3*d*e^5 + a^4*b^2*e^6)*x^9 + 3/4*(b^6*d^5*e + 15*a*b^5*d^4*e^2 + 50*a^2*b^4*d^3*e^3 + 50*a^3*b^3*d^2*e^4 + 15*a^4*b^2*d*e^5 + a^5*b*e^6)*x^8 + 1/7*(b^6*d^6 + 36*a*b^5*d^5*e + 225*a^2*b^4*d^4*e^2 + 400*a^3*b^3*d^3*e^3 + 225*a^4*b^2*d^2*e^4 + 36*a^5*b*d*e^5 + a^6*e^6)*x^7 + (a*b^5*d^6 + 15*a^2*b^4*d^5*e + 50*a^3*b^3*d^4*e^2 + 50*a^4*b^2*d^3*e^3 + 15*a^5*b*d^2*e^4 + a^6*d*e^5)*x^6 + 3*(a^2*b^4*d^6 + 8*a^3*b^3*d^5*e + 15*a^4*b^2*d^4*e^2 + 8*a^5*b*d^3*e^3 + a^6*d^2*e^4)*x^5 + 5/2*(2*a^3*b^3*d^6 + 9*a^4*b^2*d^5*e + 9*a^5*b*d^4*e^2 + 2*a^6*d^3*e^3)*x^4 + (5*a^4*b^2*d^6 + 12*a^5*b*d^5*e + 5*a^6*d^4*e^2)*x^3 + 3*(a^5*b*d^6 + a^6*d^5*e)*x^2","B",0
1484,1,517,0,1.477795," ","integrate((e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{12} \, b^{6} e^{5} x^{12} + a^{6} d^{5} x + \frac{1}{11} \, {\left(5 \, b^{6} d e^{4} + 6 \, a b^{5} e^{5}\right)} x^{11} + \frac{1}{2} \, {\left(2 \, b^{6} d^{2} e^{3} + 6 \, a b^{5} d e^{4} + 3 \, a^{2} b^{4} e^{5}\right)} x^{10} + \frac{5}{9} \, {\left(2 \, b^{6} d^{3} e^{2} + 12 \, a b^{5} d^{2} e^{3} + 15 \, a^{2} b^{4} d e^{4} + 4 \, a^{3} b^{3} e^{5}\right)} x^{9} + \frac{5}{8} \, {\left(b^{6} d^{4} e + 12 \, a b^{5} d^{3} e^{2} + 30 \, a^{2} b^{4} d^{2} e^{3} + 20 \, a^{3} b^{3} d e^{4} + 3 \, a^{4} b^{2} e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} d^{5} + 30 \, a b^{5} d^{4} e + 150 \, a^{2} b^{4} d^{3} e^{2} + 200 \, a^{3} b^{3} d^{2} e^{3} + 75 \, a^{4} b^{2} d e^{4} + 6 \, a^{5} b e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(6 \, a b^{5} d^{5} + 75 \, a^{2} b^{4} d^{4} e + 200 \, a^{3} b^{3} d^{3} e^{2} + 150 \, a^{4} b^{2} d^{2} e^{3} + 30 \, a^{5} b d e^{4} + a^{6} e^{5}\right)} x^{6} + {\left(3 \, a^{2} b^{4} d^{5} + 20 \, a^{3} b^{3} d^{4} e + 30 \, a^{4} b^{2} d^{3} e^{2} + 12 \, a^{5} b d^{2} e^{3} + a^{6} d e^{4}\right)} x^{5} + \frac{5}{4} \, {\left(4 \, a^{3} b^{3} d^{5} + 15 \, a^{4} b^{2} d^{4} e + 12 \, a^{5} b d^{3} e^{2} + 2 \, a^{6} d^{2} e^{3}\right)} x^{4} + \frac{5}{3} \, {\left(3 \, a^{4} b^{2} d^{5} + 6 \, a^{5} b d^{4} e + 2 \, a^{6} d^{3} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(6 \, a^{5} b d^{5} + 5 \, a^{6} d^{4} e\right)} x^{2}"," ",0,"1/12*b^6*e^5*x^12 + a^6*d^5*x + 1/11*(5*b^6*d*e^4 + 6*a*b^5*e^5)*x^11 + 1/2*(2*b^6*d^2*e^3 + 6*a*b^5*d*e^4 + 3*a^2*b^4*e^5)*x^10 + 5/9*(2*b^6*d^3*e^2 + 12*a*b^5*d^2*e^3 + 15*a^2*b^4*d*e^4 + 4*a^3*b^3*e^5)*x^9 + 5/8*(b^6*d^4*e + 12*a*b^5*d^3*e^2 + 30*a^2*b^4*d^2*e^3 + 20*a^3*b^3*d*e^4 + 3*a^4*b^2*e^5)*x^8 + 1/7*(b^6*d^5 + 30*a*b^5*d^4*e + 150*a^2*b^4*d^3*e^2 + 200*a^3*b^3*d^2*e^3 + 75*a^4*b^2*d*e^4 + 6*a^5*b*e^5)*x^7 + 1/6*(6*a*b^5*d^5 + 75*a^2*b^4*d^4*e + 200*a^3*b^3*d^3*e^2 + 150*a^4*b^2*d^2*e^3 + 30*a^5*b*d*e^4 + a^6*e^5)*x^6 + (3*a^2*b^4*d^5 + 20*a^3*b^3*d^4*e + 30*a^4*b^2*d^3*e^2 + 12*a^5*b*d^2*e^3 + a^6*d*e^4)*x^5 + 5/4*(4*a^3*b^3*d^5 + 15*a^4*b^2*d^4*e + 12*a^5*b*d^3*e^2 + 2*a^6*d^2*e^3)*x^4 + 5/3*(3*a^4*b^2*d^5 + 6*a^5*b*d^4*e + 2*a^6*d^3*e^2)*x^3 + 1/2*(6*a^5*b*d^5 + 5*a^6*d^4*e)*x^2","B",0
1485,1,418,0,1.397024," ","integrate((e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{11} \, b^{6} e^{4} x^{11} + a^{6} d^{4} x + \frac{1}{5} \, {\left(2 \, b^{6} d e^{3} + 3 \, a b^{5} e^{4}\right)} x^{10} + \frac{1}{3} \, {\left(2 \, b^{6} d^{2} e^{2} + 8 \, a b^{5} d e^{3} + 5 \, a^{2} b^{4} e^{4}\right)} x^{9} + \frac{1}{2} \, {\left(b^{6} d^{3} e + 9 \, a b^{5} d^{2} e^{2} + 15 \, a^{2} b^{4} d e^{3} + 5 \, a^{3} b^{3} e^{4}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} d^{4} + 24 \, a b^{5} d^{3} e + 90 \, a^{2} b^{4} d^{2} e^{2} + 80 \, a^{3} b^{3} d e^{3} + 15 \, a^{4} b^{2} e^{4}\right)} x^{7} + {\left(a b^{5} d^{4} + 10 \, a^{2} b^{4} d^{3} e + 20 \, a^{3} b^{3} d^{2} e^{2} + 10 \, a^{4} b^{2} d e^{3} + a^{5} b e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(15 \, a^{2} b^{4} d^{4} + 80 \, a^{3} b^{3} d^{3} e + 90 \, a^{4} b^{2} d^{2} e^{2} + 24 \, a^{5} b d e^{3} + a^{6} e^{4}\right)} x^{5} + {\left(5 \, a^{3} b^{3} d^{4} + 15 \, a^{4} b^{2} d^{3} e + 9 \, a^{5} b d^{2} e^{2} + a^{6} d e^{3}\right)} x^{4} + {\left(5 \, a^{4} b^{2} d^{4} + 8 \, a^{5} b d^{3} e + 2 \, a^{6} d^{2} e^{2}\right)} x^{3} + {\left(3 \, a^{5} b d^{4} + 2 \, a^{6} d^{3} e\right)} x^{2}"," ",0,"1/11*b^6*e^4*x^11 + a^6*d^4*x + 1/5*(2*b^6*d*e^3 + 3*a*b^5*e^4)*x^10 + 1/3*(2*b^6*d^2*e^2 + 8*a*b^5*d*e^3 + 5*a^2*b^4*e^4)*x^9 + 1/2*(b^6*d^3*e + 9*a*b^5*d^2*e^2 + 15*a^2*b^4*d*e^3 + 5*a^3*b^3*e^4)*x^8 + 1/7*(b^6*d^4 + 24*a*b^5*d^3*e + 90*a^2*b^4*d^2*e^2 + 80*a^3*b^3*d*e^3 + 15*a^4*b^2*e^4)*x^7 + (a*b^5*d^4 + 10*a^2*b^4*d^3*e + 20*a^3*b^3*d^2*e^2 + 10*a^4*b^2*d*e^3 + a^5*b*e^4)*x^6 + 1/5*(15*a^2*b^4*d^4 + 80*a^3*b^3*d^3*e + 90*a^4*b^2*d^2*e^2 + 24*a^5*b*d*e^3 + a^6*e^4)*x^5 + (5*a^3*b^3*d^4 + 15*a^4*b^2*d^3*e + 9*a^5*b*d^2*e^2 + a^6*d*e^3)*x^4 + (5*a^4*b^2*d^4 + 8*a^5*b*d^3*e + 2*a^6*d^2*e^2)*x^3 + (3*a^5*b*d^4 + 2*a^6*d^3*e)*x^2","B",0
1486,1,327,0,1.340541," ","integrate((e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{10} \, b^{6} e^{3} x^{10} + a^{6} d^{3} x + \frac{1}{3} \, {\left(b^{6} d e^{2} + 2 \, a b^{5} e^{3}\right)} x^{9} + \frac{3}{8} \, {\left(b^{6} d^{2} e + 6 \, a b^{5} d e^{2} + 5 \, a^{2} b^{4} e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} d^{3} + 18 \, a b^{5} d^{2} e + 45 \, a^{2} b^{4} d e^{2} + 20 \, a^{3} b^{3} e^{3}\right)} x^{7} + \frac{1}{2} \, {\left(2 \, a b^{5} d^{3} + 15 \, a^{2} b^{4} d^{2} e + 20 \, a^{3} b^{3} d e^{2} + 5 \, a^{4} b^{2} e^{3}\right)} x^{6} + \frac{3}{5} \, {\left(5 \, a^{2} b^{4} d^{3} + 20 \, a^{3} b^{3} d^{2} e + 15 \, a^{4} b^{2} d e^{2} + 2 \, a^{5} b e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(20 \, a^{3} b^{3} d^{3} + 45 \, a^{4} b^{2} d^{2} e + 18 \, a^{5} b d e^{2} + a^{6} e^{3}\right)} x^{4} + {\left(5 \, a^{4} b^{2} d^{3} + 6 \, a^{5} b d^{2} e + a^{6} d e^{2}\right)} x^{3} + \frac{3}{2} \, {\left(2 \, a^{5} b d^{3} + a^{6} d^{2} e\right)} x^{2}"," ",0,"1/10*b^6*e^3*x^10 + a^6*d^3*x + 1/3*(b^6*d*e^2 + 2*a*b^5*e^3)*x^9 + 3/8*(b^6*d^2*e + 6*a*b^5*d*e^2 + 5*a^2*b^4*e^3)*x^8 + 1/7*(b^6*d^3 + 18*a*b^5*d^2*e + 45*a^2*b^4*d*e^2 + 20*a^3*b^3*e^3)*x^7 + 1/2*(2*a*b^5*d^3 + 15*a^2*b^4*d^2*e + 20*a^3*b^3*d*e^2 + 5*a^4*b^2*e^3)*x^6 + 3/5*(5*a^2*b^4*d^3 + 20*a^3*b^3*d^2*e + 15*a^4*b^2*d*e^2 + 2*a^5*b*e^3)*x^5 + 1/4*(20*a^3*b^3*d^3 + 45*a^4*b^2*d^2*e + 18*a^5*b*d*e^2 + a^6*e^3)*x^4 + (5*a^4*b^2*d^3 + 6*a^5*b*d^2*e + a^6*d*e^2)*x^3 + 3/2*(2*a^5*b*d^3 + a^6*d^2*e)*x^2","B",0
1487,1,234,0,1.099470," ","integrate((e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{9} \, b^{6} e^{2} x^{9} + a^{6} d^{2} x + \frac{1}{4} \, {\left(b^{6} d e + 3 \, a b^{5} e^{2}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} d^{2} + 12 \, a b^{5} d e + 15 \, a^{2} b^{4} e^{2}\right)} x^{7} + \frac{1}{3} \, {\left(3 \, a b^{5} d^{2} + 15 \, a^{2} b^{4} d e + 10 \, a^{3} b^{3} e^{2}\right)} x^{6} + {\left(3 \, a^{2} b^{4} d^{2} + 8 \, a^{3} b^{3} d e + 3 \, a^{4} b^{2} e^{2}\right)} x^{5} + \frac{1}{2} \, {\left(10 \, a^{3} b^{3} d^{2} + 15 \, a^{4} b^{2} d e + 3 \, a^{5} b e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(15 \, a^{4} b^{2} d^{2} + 12 \, a^{5} b d e + a^{6} e^{2}\right)} x^{3} + {\left(3 \, a^{5} b d^{2} + a^{6} d e\right)} x^{2}"," ",0,"1/9*b^6*e^2*x^9 + a^6*d^2*x + 1/4*(b^6*d*e + 3*a*b^5*e^2)*x^8 + 1/7*(b^6*d^2 + 12*a*b^5*d*e + 15*a^2*b^4*e^2)*x^7 + 1/3*(3*a*b^5*d^2 + 15*a^2*b^4*d*e + 10*a^3*b^3*e^2)*x^6 + (3*a^2*b^4*d^2 + 8*a^3*b^3*d*e + 3*a^4*b^2*e^2)*x^5 + 1/2*(10*a^3*b^3*d^2 + 15*a^4*b^2*d*e + 3*a^5*b*e^2)*x^4 + 1/3*(15*a^4*b^2*d^2 + 12*a^5*b*d*e + a^6*e^2)*x^3 + (3*a^5*b*d^2 + a^6*d*e)*x^2","B",0
1488,1,142,0,1.298568," ","integrate((e*x+d)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{8} \, b^{6} e x^{8} + a^{6} d x + \frac{1}{7} \, {\left(b^{6} d + 6 \, a b^{5} e\right)} x^{7} + \frac{1}{2} \, {\left(2 \, a b^{5} d + 5 \, a^{2} b^{4} e\right)} x^{6} + {\left(3 \, a^{2} b^{4} d + 4 \, a^{3} b^{3} e\right)} x^{5} + \frac{5}{4} \, {\left(4 \, a^{3} b^{3} d + 3 \, a^{4} b^{2} e\right)} x^{4} + {\left(5 \, a^{4} b^{2} d + 2 \, a^{5} b e\right)} x^{3} + \frac{1}{2} \, {\left(6 \, a^{5} b d + a^{6} e\right)} x^{2}"," ",0,"1/8*b^6*e*x^8 + a^6*d*x + 1/7*(b^6*d + 6*a*b^5*e)*x^7 + 1/2*(2*a*b^5*d + 5*a^2*b^4*e)*x^6 + (3*a^2*b^4*d + 4*a^3*b^3*e)*x^5 + 5/4*(4*a^3*b^3*d + 3*a^4*b^2*e)*x^4 + (5*a^4*b^2*d + 2*a^5*b*e)*x^3 + 1/2*(6*a^5*b*d + a^6*e)*x^2","B",0
1489,1,97,0,1.402573," ","integrate((b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{7} \, b^{6} x^{7} + a b^{5} x^{6} + \frac{12}{5} \, a^{2} b^{4} x^{5} + 2 \, a^{3} b^{3} x^{4} + a^{6} x + {\left(b^{2} x^{3} + 3 \, a b x^{2}\right)} a^{4} + \frac{1}{5} \, {\left(3 \, b^{4} x^{5} + 15 \, a b^{3} x^{4} + 20 \, a^{2} b^{2} x^{3}\right)} a^{2}"," ",0,"1/7*b^6*x^7 + a*b^5*x^6 + 12/5*a^2*b^4*x^5 + 2*a^3*b^3*x^4 + a^6*x + (b^2*x^3 + 3*a*b*x^2)*a^4 + 1/5*(3*b^4*x^5 + 15*a*b^3*x^4 + 20*a^2*b^2*x^3)*a^2","B",0
1490,1,349,0,1.458967," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d),x, algorithm=""maxima"")","\frac{10 \, b^{6} e^{5} x^{6} - 12 \, {\left(b^{6} d e^{4} - 6 \, a b^{5} e^{5}\right)} x^{5} + 15 \, {\left(b^{6} d^{2} e^{3} - 6 \, a b^{5} d e^{4} + 15 \, a^{2} b^{4} e^{5}\right)} x^{4} - 20 \, {\left(b^{6} d^{3} e^{2} - 6 \, a b^{5} d^{2} e^{3} + 15 \, a^{2} b^{4} d e^{4} - 20 \, a^{3} b^{3} e^{5}\right)} x^{3} + 30 \, {\left(b^{6} d^{4} e - 6 \, a b^{5} d^{3} e^{2} + 15 \, a^{2} b^{4} d^{2} e^{3} - 20 \, a^{3} b^{3} d e^{4} + 15 \, a^{4} b^{2} e^{5}\right)} x^{2} - 60 \, {\left(b^{6} d^{5} - 6 \, a b^{5} d^{4} e + 15 \, a^{2} b^{4} d^{3} e^{2} - 20 \, a^{3} b^{3} d^{2} e^{3} + 15 \, a^{4} b^{2} d e^{4} - 6 \, a^{5} b e^{5}\right)} x}{60 \, e^{6}} + \frac{{\left(b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/60*(10*b^6*e^5*x^6 - 12*(b^6*d*e^4 - 6*a*b^5*e^5)*x^5 + 15*(b^6*d^2*e^3 - 6*a*b^5*d*e^4 + 15*a^2*b^4*e^5)*x^4 - 20*(b^6*d^3*e^2 - 6*a*b^5*d^2*e^3 + 15*a^2*b^4*d*e^4 - 20*a^3*b^3*e^5)*x^3 + 30*(b^6*d^4*e - 6*a*b^5*d^3*e^2 + 15*a^2*b^4*d^2*e^3 - 20*a^3*b^3*d*e^4 + 15*a^4*b^2*e^5)*x^2 - 60*(b^6*d^5 - 6*a*b^5*d^4*e + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 + 15*a^4*b^2*d*e^4 - 6*a^5*b*e^5)*x)/e^6 + (b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6)*log(e*x + d)/e^7","B",0
1491,1,357,0,1.428636," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}}{e^{8} x + d e^{7}} + \frac{2 \, b^{6} e^{4} x^{5} - 5 \, {\left(b^{6} d e^{3} - 3 \, a b^{5} e^{4}\right)} x^{4} + 10 \, {\left(b^{6} d^{2} e^{2} - 4 \, a b^{5} d e^{3} + 5 \, a^{2} b^{4} e^{4}\right)} x^{3} - 10 \, {\left(2 \, b^{6} d^{3} e - 9 \, a b^{5} d^{2} e^{2} + 15 \, a^{2} b^{4} d e^{3} - 10 \, a^{3} b^{3} e^{4}\right)} x^{2} + 10 \, {\left(5 \, b^{6} d^{4} - 24 \, a b^{5} d^{3} e + 45 \, a^{2} b^{4} d^{2} e^{2} - 40 \, a^{3} b^{3} d e^{3} + 15 \, a^{4} b^{2} e^{4}\right)} x}{10 \, e^{6}} - \frac{6 \, {\left(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}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6)/(e^8*x + d*e^7) + 1/10*(2*b^6*e^4*x^5 - 5*(b^6*d*e^3 - 3*a*b^5*e^4)*x^4 + 10*(b^6*d^2*e^2 - 4*a*b^5*d*e^3 + 5*a^2*b^4*e^4)*x^3 - 10*(2*b^6*d^3*e - 9*a*b^5*d^2*e^2 + 15*a^2*b^4*d*e^3 - 10*a^3*b^3*e^4)*x^2 + 10*(5*b^6*d^4 - 24*a*b^5*d^3*e + 45*a^2*b^4*d^2*e^2 - 40*a^3*b^3*d*e^3 + 15*a^4*b^2*e^4)*x)/e^6 - 6*(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)*log(e*x + d)/e^7","B",0
1492,1,364,0,1.510980," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^3,x, algorithm=""maxima"")","\frac{11 \, b^{6} d^{6} - 54 \, a b^{5} d^{5} e + 105 \, a^{2} b^{4} d^{4} e^{2} - 100 \, a^{3} b^{3} d^{3} e^{3} + 45 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} - a^{6} e^{6} + 12 \, {\left(b^{6} d^{5} e - 5 \, a b^{5} d^{4} e^{2} + 10 \, a^{2} b^{4} d^{3} e^{3} - 10 \, a^{3} b^{3} d^{2} e^{4} + 5 \, a^{4} b^{2} d e^{5} - a^{5} b e^{6}\right)} x}{2 \, {\left(e^{9} x^{2} + 2 \, d e^{8} x + d^{2} e^{7}\right)}} + \frac{b^{6} e^{3} x^{4} - 4 \, {\left(b^{6} d e^{2} - 2 \, a b^{5} e^{3}\right)} x^{3} + 6 \, {\left(2 \, b^{6} d^{2} e - 6 \, a b^{5} d e^{2} + 5 \, a^{2} b^{4} e^{3}\right)} x^{2} - 4 \, {\left(10 \, b^{6} d^{3} - 36 \, a b^{5} d^{2} e + 45 \, a^{2} b^{4} d e^{2} - 20 \, a^{3} b^{3} e^{3}\right)} x}{4 \, e^{6}} + \frac{15 \, {\left(b^{6} d^{4} - 4 \, a b^{5} d^{3} e + 6 \, a^{2} b^{4} d^{2} e^{2} - 4 \, a^{3} b^{3} d e^{3} + a^{4} b^{2} e^{4}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/2*(11*b^6*d^6 - 54*a*b^5*d^5*e + 105*a^2*b^4*d^4*e^2 - 100*a^3*b^3*d^3*e^3 + 45*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 - a^6*e^6 + 12*(b^6*d^5*e - 5*a*b^5*d^4*e^2 + 10*a^2*b^4*d^3*e^3 - 10*a^3*b^3*d^2*e^4 + 5*a^4*b^2*d*e^5 - a^5*b*e^6)*x)/(e^9*x^2 + 2*d*e^8*x + d^2*e^7) + 1/4*(b^6*e^3*x^4 - 4*(b^6*d*e^2 - 2*a*b^5*e^3)*x^3 + 6*(2*b^6*d^2*e - 6*a*b^5*d*e^2 + 5*a^2*b^4*e^3)*x^2 - 4*(10*b^6*d^3 - 36*a*b^5*d^2*e + 45*a^2*b^4*d*e^2 - 20*a^3*b^3*e^3)*x)/e^6 + 15*(b^6*d^4 - 4*a*b^5*d^3*e + 6*a^2*b^4*d^2*e^2 - 4*a^3*b^3*d*e^3 + a^4*b^2*e^4)*log(e*x + d)/e^7","B",0
1493,1,374,0,1.619439," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{37 \, b^{6} d^{6} - 141 \, a b^{5} d^{5} e + 195 \, a^{2} b^{4} d^{4} e^{2} - 110 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} + 3 \, a^{5} b d e^{5} + a^{6} e^{6} + 45 \, {\left(b^{6} d^{4} e^{2} - 4 \, a b^{5} d^{3} e^{3} + 6 \, a^{2} b^{4} d^{2} e^{4} - 4 \, a^{3} b^{3} d e^{5} + a^{4} b^{2} e^{6}\right)} x^{2} + 9 \, {\left(9 \, b^{6} d^{5} e - 35 \, a b^{5} d^{4} e^{2} + 50 \, a^{2} b^{4} d^{3} e^{3} - 30 \, a^{3} b^{3} d^{2} e^{4} + 5 \, a^{4} b^{2} d e^{5} + a^{5} b e^{6}\right)} x}{3 \, {\left(e^{10} x^{3} + 3 \, d e^{9} x^{2} + 3 \, d^{2} e^{8} x + d^{3} e^{7}\right)}} + \frac{b^{6} e^{2} x^{3} - 3 \, {\left(2 \, b^{6} d e - 3 \, a b^{5} e^{2}\right)} x^{2} + 3 \, {\left(10 \, b^{6} d^{2} - 24 \, a b^{5} d e + 15 \, a^{2} b^{4} e^{2}\right)} x}{3 \, e^{6}} - \frac{20 \, {\left(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}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-1/3*(37*b^6*d^6 - 141*a*b^5*d^5*e + 195*a^2*b^4*d^4*e^2 - 110*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 + 3*a^5*b*d*e^5 + a^6*e^6 + 45*(b^6*d^4*e^2 - 4*a*b^5*d^3*e^3 + 6*a^2*b^4*d^2*e^4 - 4*a^3*b^3*d*e^5 + a^4*b^2*e^6)*x^2 + 9*(9*b^6*d^5*e - 35*a*b^5*d^4*e^2 + 50*a^2*b^4*d^3*e^3 - 30*a^3*b^3*d^2*e^4 + 5*a^4*b^2*d*e^5 + a^5*b*e^6)*x)/(e^10*x^3 + 3*d*e^9*x^2 + 3*d^2*e^8*x + d^3*e^7) + 1/3*(b^6*e^2*x^3 - 3*(2*b^6*d*e - 3*a*b^5*e^2)*x^2 + 3*(10*b^6*d^2 - 24*a*b^5*d*e + 15*a^2*b^4*e^2)*x)/e^6 - 20*(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)*log(e*x + d)/e^7","B",0
1494,1,387,0,1.519629," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^5,x, algorithm=""maxima"")","\frac{57 \, b^{6} d^{6} - 154 \, a b^{5} d^{5} e + 125 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} - 5 \, a^{4} b^{2} d^{2} e^{4} - 2 \, a^{5} b d e^{5} - a^{6} e^{6} + 80 \, {\left(b^{6} d^{3} e^{3} - 3 \, a b^{5} d^{2} e^{4} + 3 \, a^{2} b^{4} d e^{5} - a^{3} b^{3} e^{6}\right)} x^{3} + 30 \, {\left(7 \, b^{6} d^{4} e^{2} - 20 \, a b^{5} d^{3} e^{3} + 18 \, a^{2} b^{4} d^{2} e^{4} - 4 \, a^{3} b^{3} d e^{5} - a^{4} b^{2} e^{6}\right)} x^{2} + 4 \, {\left(47 \, b^{6} d^{5} e - 130 \, a b^{5} d^{4} e^{2} + 110 \, a^{2} b^{4} d^{3} e^{3} - 20 \, a^{3} b^{3} d^{2} e^{4} - 5 \, a^{4} b^{2} d e^{5} - 2 \, a^{5} b e^{6}\right)} x}{4 \, {\left(e^{11} x^{4} + 4 \, d e^{10} x^{3} + 6 \, d^{2} e^{9} x^{2} + 4 \, d^{3} e^{8} x + d^{4} e^{7}\right)}} + \frac{b^{6} e x^{2} - 2 \, {\left(5 \, b^{6} d - 6 \, a b^{5} e\right)} x}{2 \, e^{6}} + \frac{15 \, {\left(b^{6} d^{2} - 2 \, a b^{5} d e + a^{2} b^{4} e^{2}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/4*(57*b^6*d^6 - 154*a*b^5*d^5*e + 125*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 - 5*a^4*b^2*d^2*e^4 - 2*a^5*b*d*e^5 - a^6*e^6 + 80*(b^6*d^3*e^3 - 3*a*b^5*d^2*e^4 + 3*a^2*b^4*d*e^5 - a^3*b^3*e^6)*x^3 + 30*(7*b^6*d^4*e^2 - 20*a*b^5*d^3*e^3 + 18*a^2*b^4*d^2*e^4 - 4*a^3*b^3*d*e^5 - a^4*b^2*e^6)*x^2 + 4*(47*b^6*d^5*e - 130*a*b^5*d^4*e^2 + 110*a^2*b^4*d^3*e^3 - 20*a^3*b^3*d^2*e^4 - 5*a^4*b^2*d*e^5 - 2*a^5*b*e^6)*x)/(e^11*x^4 + 4*d*e^10*x^3 + 6*d^2*e^9*x^2 + 4*d^3*e^8*x + d^4*e^7) + 1/2*(b^6*e*x^2 - 2*(5*b^6*d - 6*a*b^5*e)*x)/e^6 + 15*(b^6*d^2 - 2*a*b^5*d*e + a^2*b^4*e^2)*log(e*x + d)/e^7","B",0
1495,1,397,0,1.684590," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^6,x, algorithm=""maxima"")","\frac{b^{6} x}{e^{6}} - \frac{87 \, b^{6} d^{6} - 137 \, a b^{5} d^{5} e + 30 \, a^{2} b^{4} d^{4} e^{2} + 10 \, a^{3} b^{3} d^{3} e^{3} + 5 \, a^{4} b^{2} d^{2} e^{4} + 3 \, a^{5} b d e^{5} + 2 \, a^{6} e^{6} + 150 \, {\left(b^{6} d^{2} e^{4} - 2 \, a b^{5} d e^{5} + a^{2} b^{4} e^{6}\right)} x^{4} + 100 \, {\left(5 \, b^{6} d^{3} e^{3} - 9 \, a b^{5} d^{2} e^{4} + 3 \, a^{2} b^{4} d e^{5} + a^{3} b^{3} e^{6}\right)} x^{3} + 50 \, {\left(13 \, b^{6} d^{4} e^{2} - 22 \, a b^{5} d^{3} e^{3} + 6 \, a^{2} b^{4} d^{2} e^{4} + 2 \, a^{3} b^{3} d e^{5} + a^{4} b^{2} e^{6}\right)} x^{2} + 5 \, {\left(77 \, b^{6} d^{5} e - 125 \, a b^{5} d^{4} e^{2} + 30 \, a^{2} b^{4} d^{3} e^{3} + 10 \, a^{3} b^{3} d^{2} e^{4} + 5 \, a^{4} b^{2} d e^{5} + 3 \, a^{5} b e^{6}\right)} x}{10 \, {\left(e^{12} x^{5} + 5 \, d e^{11} x^{4} + 10 \, d^{2} e^{10} x^{3} + 10 \, d^{3} e^{9} x^{2} + 5 \, d^{4} e^{8} x + d^{5} e^{7}\right)}} - \frac{6 \, {\left(b^{6} d - a b^{5} e\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"b^6*x/e^6 - 1/10*(87*b^6*d^6 - 137*a*b^5*d^5*e + 30*a^2*b^4*d^4*e^2 + 10*a^3*b^3*d^3*e^3 + 5*a^4*b^2*d^2*e^4 + 3*a^5*b*d*e^5 + 2*a^6*e^6 + 150*(b^6*d^2*e^4 - 2*a*b^5*d*e^5 + a^2*b^4*e^6)*x^4 + 100*(5*b^6*d^3*e^3 - 9*a*b^5*d^2*e^4 + 3*a^2*b^4*d*e^5 + a^3*b^3*e^6)*x^3 + 50*(13*b^6*d^4*e^2 - 22*a*b^5*d^3*e^3 + 6*a^2*b^4*d^2*e^4 + 2*a^3*b^3*d*e^5 + a^4*b^2*e^6)*x^2 + 5*(77*b^6*d^5*e - 125*a*b^5*d^4*e^2 + 30*a^2*b^4*d^3*e^3 + 10*a^3*b^3*d^2*e^4 + 5*a^4*b^2*d*e^5 + 3*a^5*b*e^6)*x)/(e^12*x^5 + 5*d*e^11*x^4 + 10*d^2*e^10*x^3 + 10*d^3*e^9*x^2 + 5*d^4*e^8*x + d^5*e^7) - 6*(b^6*d - a*b^5*e)*log(e*x + d)/e^7","B",0
1496,1,416,0,1.541210," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^7,x, algorithm=""maxima"")","\frac{147 \, b^{6} d^{6} - 60 \, a b^{5} d^{5} e - 30 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} - 15 \, a^{4} b^{2} d^{2} e^{4} - 12 \, a^{5} b d e^{5} - 10 \, a^{6} e^{6} + 360 \, {\left(b^{6} d e^{5} - a b^{5} e^{6}\right)} x^{5} + 450 \, {\left(3 \, b^{6} d^{2} e^{4} - 2 \, a b^{5} d e^{5} - a^{2} b^{4} e^{6}\right)} x^{4} + 200 \, {\left(11 \, b^{6} d^{3} e^{3} - 6 \, a b^{5} d^{2} e^{4} - 3 \, a^{2} b^{4} d e^{5} - 2 \, a^{3} b^{3} e^{6}\right)} x^{3} + 75 \, {\left(25 \, b^{6} d^{4} e^{2} - 12 \, a b^{5} d^{3} e^{3} - 6 \, a^{2} b^{4} d^{2} e^{4} - 4 \, a^{3} b^{3} d e^{5} - 3 \, a^{4} b^{2} e^{6}\right)} x^{2} + 6 \, {\left(137 \, b^{6} d^{5} e - 60 \, a b^{5} d^{4} e^{2} - 30 \, a^{2} b^{4} d^{3} e^{3} - 20 \, a^{3} b^{3} d^{2} e^{4} - 15 \, a^{4} b^{2} d e^{5} - 12 \, a^{5} b e^{6}\right)} x}{60 \, {\left(e^{13} x^{6} + 6 \, d e^{12} x^{5} + 15 \, d^{2} e^{11} x^{4} + 20 \, d^{3} e^{10} x^{3} + 15 \, d^{4} e^{9} x^{2} + 6 \, d^{5} e^{8} x + d^{6} e^{7}\right)}} + \frac{b^{6} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/60*(147*b^6*d^6 - 60*a*b^5*d^5*e - 30*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 - 15*a^4*b^2*d^2*e^4 - 12*a^5*b*d*e^5 - 10*a^6*e^6 + 360*(b^6*d*e^5 - a*b^5*e^6)*x^5 + 450*(3*b^6*d^2*e^4 - 2*a*b^5*d*e^5 - a^2*b^4*e^6)*x^4 + 200*(11*b^6*d^3*e^3 - 6*a*b^5*d^2*e^4 - 3*a^2*b^4*d*e^5 - 2*a^3*b^3*e^6)*x^3 + 75*(25*b^6*d^4*e^2 - 12*a*b^5*d^3*e^3 - 6*a^2*b^4*d^2*e^4 - 4*a^3*b^3*d*e^5 - 3*a^4*b^2*e^6)*x^2 + 6*(137*b^6*d^5*e - 60*a*b^5*d^4*e^2 - 30*a^2*b^4*d^3*e^3 - 20*a^3*b^3*d^2*e^4 - 15*a^4*b^2*d*e^5 - 12*a^5*b*e^6)*x)/(e^13*x^6 + 6*d*e^12*x^5 + 15*d^2*e^11*x^4 + 20*d^3*e^10*x^3 + 15*d^4*e^9*x^2 + 6*d^5*e^8*x + d^6*e^7) + b^6*log(e*x + d)/e^7","B",0
1497,1,398,0,2.100101," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{7 \, b^{6} e^{6} x^{6} + b^{6} d^{6} + a b^{5} d^{5} e + a^{2} b^{4} d^{4} e^{2} + a^{3} b^{3} d^{3} e^{3} + a^{4} b^{2} d^{2} e^{4} + a^{5} b d e^{5} + a^{6} e^{6} + 21 \, {\left(b^{6} d e^{5} + a b^{5} e^{6}\right)} x^{5} + 35 \, {\left(b^{6} d^{2} e^{4} + a b^{5} d e^{5} + a^{2} b^{4} e^{6}\right)} x^{4} + 35 \, {\left(b^{6} d^{3} e^{3} + a b^{5} d^{2} e^{4} + a^{2} b^{4} d e^{5} + a^{3} b^{3} e^{6}\right)} x^{3} + 21 \, {\left(b^{6} d^{4} e^{2} + a b^{5} d^{3} e^{3} + a^{2} b^{4} d^{2} e^{4} + a^{3} b^{3} d e^{5} + a^{4} b^{2} e^{6}\right)} x^{2} + 7 \, {\left(b^{6} d^{5} e + a b^{5} d^{4} e^{2} + a^{2} b^{4} d^{3} e^{3} + a^{3} b^{3} d^{2} e^{4} + a^{4} b^{2} d e^{5} + a^{5} b e^{6}\right)} x}{7 \, {\left(e^{14} x^{7} + 7 \, d e^{13} x^{6} + 21 \, d^{2} e^{12} x^{5} + 35 \, d^{3} e^{11} x^{4} + 35 \, d^{4} e^{10} x^{3} + 21 \, d^{5} e^{9} x^{2} + 7 \, d^{6} e^{8} x + d^{7} e^{7}\right)}}"," ",0,"-1/7*(7*b^6*e^6*x^6 + b^6*d^6 + a*b^5*d^5*e + a^2*b^4*d^4*e^2 + a^3*b^3*d^3*e^3 + a^4*b^2*d^2*e^4 + a^5*b*d*e^5 + a^6*e^6 + 21*(b^6*d*e^5 + a*b^5*e^6)*x^5 + 35*(b^6*d^2*e^4 + a*b^5*d*e^5 + a^2*b^4*e^6)*x^4 + 35*(b^6*d^3*e^3 + a*b^5*d^2*e^4 + a^2*b^4*d*e^5 + a^3*b^3*e^6)*x^3 + 21*(b^6*d^4*e^2 + a*b^5*d^3*e^3 + a^2*b^4*d^2*e^4 + a^3*b^3*d*e^5 + a^4*b^2*e^6)*x^2 + 7*(b^6*d^5*e + a*b^5*d^4*e^2 + a^2*b^4*d^3*e^3 + a^3*b^3*d^2*e^4 + a^4*b^2*d*e^5 + a^5*b*e^6)*x)/(e^14*x^7 + 7*d*e^13*x^6 + 21*d^2*e^12*x^5 + 35*d^3*e^11*x^4 + 35*d^4*e^10*x^3 + 21*d^5*e^9*x^2 + 7*d^6*e^8*x + d^7*e^7)","B",0
1498,1,430,0,1.693132," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{28 \, b^{6} e^{6} x^{6} + b^{6} d^{6} + 2 \, a b^{5} d^{5} e + 3 \, a^{2} b^{4} d^{4} e^{2} + 4 \, a^{3} b^{3} d^{3} e^{3} + 5 \, a^{4} b^{2} d^{2} e^{4} + 6 \, a^{5} b d e^{5} + 7 \, a^{6} e^{6} + 56 \, {\left(b^{6} d e^{5} + 2 \, a b^{5} e^{6}\right)} x^{5} + 70 \, {\left(b^{6} d^{2} e^{4} + 2 \, a b^{5} d e^{5} + 3 \, a^{2} b^{4} e^{6}\right)} x^{4} + 56 \, {\left(b^{6} d^{3} e^{3} + 2 \, a b^{5} d^{2} e^{4} + 3 \, a^{2} b^{4} d e^{5} + 4 \, a^{3} b^{3} e^{6}\right)} x^{3} + 28 \, {\left(b^{6} d^{4} e^{2} + 2 \, a b^{5} d^{3} e^{3} + 3 \, a^{2} b^{4} d^{2} e^{4} + 4 \, a^{3} b^{3} d e^{5} + 5 \, a^{4} b^{2} e^{6}\right)} x^{2} + 8 \, {\left(b^{6} d^{5} e + 2 \, a b^{5} d^{4} e^{2} + 3 \, a^{2} b^{4} d^{3} e^{3} + 4 \, a^{3} b^{3} d^{2} e^{4} + 5 \, a^{4} b^{2} d e^{5} + 6 \, a^{5} b e^{6}\right)} x}{56 \, {\left(e^{15} x^{8} + 8 \, d e^{14} x^{7} + 28 \, d^{2} e^{13} x^{6} + 56 \, d^{3} e^{12} x^{5} + 70 \, d^{4} e^{11} x^{4} + 56 \, d^{5} e^{10} x^{3} + 28 \, d^{6} e^{9} x^{2} + 8 \, d^{7} e^{8} x + d^{8} e^{7}\right)}}"," ",0,"-1/56*(28*b^6*e^6*x^6 + b^6*d^6 + 2*a*b^5*d^5*e + 3*a^2*b^4*d^4*e^2 + 4*a^3*b^3*d^3*e^3 + 5*a^4*b^2*d^2*e^4 + 6*a^5*b*d*e^5 + 7*a^6*e^6 + 56*(b^6*d*e^5 + 2*a*b^5*e^6)*x^5 + 70*(b^6*d^2*e^4 + 2*a*b^5*d*e^5 + 3*a^2*b^4*e^6)*x^4 + 56*(b^6*d^3*e^3 + 2*a*b^5*d^2*e^4 + 3*a^2*b^4*d*e^5 + 4*a^3*b^3*e^6)*x^3 + 28*(b^6*d^4*e^2 + 2*a*b^5*d^3*e^3 + 3*a^2*b^4*d^2*e^4 + 4*a^3*b^3*d*e^5 + 5*a^4*b^2*e^6)*x^2 + 8*(b^6*d^5*e + 2*a*b^5*d^4*e^2 + 3*a^2*b^4*d^3*e^3 + 4*a^3*b^3*d^2*e^4 + 5*a^4*b^2*d*e^5 + 6*a^5*b*e^6)*x)/(e^15*x^8 + 8*d*e^14*x^7 + 28*d^2*e^13*x^6 + 56*d^3*e^12*x^5 + 70*d^4*e^11*x^4 + 56*d^5*e^10*x^3 + 28*d^6*e^9*x^2 + 8*d^7*e^8*x + d^8*e^7)","B",0
1499,1,441,0,1.697931," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{84 \, b^{6} e^{6} x^{6} + b^{6} d^{6} + 3 \, a b^{5} d^{5} e + 6 \, a^{2} b^{4} d^{4} e^{2} + 10 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} + 21 \, a^{5} b d e^{5} + 28 \, a^{6} e^{6} + 126 \, {\left(b^{6} d e^{5} + 3 \, a b^{5} e^{6}\right)} x^{5} + 126 \, {\left(b^{6} d^{2} e^{4} + 3 \, a b^{5} d e^{5} + 6 \, a^{2} b^{4} e^{6}\right)} x^{4} + 84 \, {\left(b^{6} d^{3} e^{3} + 3 \, a b^{5} d^{2} e^{4} + 6 \, a^{2} b^{4} d e^{5} + 10 \, a^{3} b^{3} e^{6}\right)} x^{3} + 36 \, {\left(b^{6} d^{4} e^{2} + 3 \, a b^{5} d^{3} e^{3} + 6 \, a^{2} b^{4} d^{2} e^{4} + 10 \, a^{3} b^{3} d e^{5} + 15 \, a^{4} b^{2} e^{6}\right)} x^{2} + 9 \, {\left(b^{6} d^{5} e + 3 \, a b^{5} d^{4} e^{2} + 6 \, a^{2} b^{4} d^{3} e^{3} + 10 \, a^{3} b^{3} d^{2} e^{4} + 15 \, a^{4} b^{2} d e^{5} + 21 \, a^{5} b e^{6}\right)} x}{252 \, {\left(e^{16} x^{9} + 9 \, d e^{15} x^{8} + 36 \, d^{2} e^{14} x^{7} + 84 \, d^{3} e^{13} x^{6} + 126 \, d^{4} e^{12} x^{5} + 126 \, d^{5} e^{11} x^{4} + 84 \, d^{6} e^{10} x^{3} + 36 \, d^{7} e^{9} x^{2} + 9 \, d^{8} e^{8} x + d^{9} e^{7}\right)}}"," ",0,"-1/252*(84*b^6*e^6*x^6 + b^6*d^6 + 3*a*b^5*d^5*e + 6*a^2*b^4*d^4*e^2 + 10*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 + 21*a^5*b*d*e^5 + 28*a^6*e^6 + 126*(b^6*d*e^5 + 3*a*b^5*e^6)*x^5 + 126*(b^6*d^2*e^4 + 3*a*b^5*d*e^5 + 6*a^2*b^4*e^6)*x^4 + 84*(b^6*d^3*e^3 + 3*a*b^5*d^2*e^4 + 6*a^2*b^4*d*e^5 + 10*a^3*b^3*e^6)*x^3 + 36*(b^6*d^4*e^2 + 3*a*b^5*d^3*e^3 + 6*a^2*b^4*d^2*e^4 + 10*a^3*b^3*d*e^5 + 15*a^4*b^2*e^6)*x^2 + 9*(b^6*d^5*e + 3*a*b^5*d^4*e^2 + 6*a^2*b^4*d^3*e^3 + 10*a^3*b^3*d^2*e^4 + 15*a^4*b^2*d*e^5 + 21*a^5*b*e^6)*x)/(e^16*x^9 + 9*d*e^15*x^8 + 36*d^2*e^14*x^7 + 84*d^3*e^13*x^6 + 126*d^4*e^12*x^5 + 126*d^5*e^11*x^4 + 84*d^6*e^10*x^3 + 36*d^7*e^9*x^2 + 9*d^8*e^8*x + d^9*e^7)","B",0
1500,1,452,0,1.778569," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^11,x, algorithm=""maxima"")","-\frac{210 \, b^{6} e^{6} x^{6} + b^{6} d^{6} + 4 \, a b^{5} d^{5} e + 10 \, 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} + 56 \, a^{5} b d e^{5} + 84 \, a^{6} e^{6} + 252 \, {\left(b^{6} d e^{5} + 4 \, a b^{5} e^{6}\right)} x^{5} + 210 \, {\left(b^{6} d^{2} e^{4} + 4 \, a b^{5} d e^{5} + 10 \, a^{2} b^{4} e^{6}\right)} x^{4} + 120 \, {\left(b^{6} d^{3} e^{3} + 4 \, a b^{5} d^{2} e^{4} + 10 \, a^{2} b^{4} d e^{5} + 20 \, a^{3} b^{3} e^{6}\right)} x^{3} + 45 \, {\left(b^{6} d^{4} e^{2} + 4 \, a b^{5} d^{3} e^{3} + 10 \, a^{2} b^{4} d^{2} e^{4} + 20 \, a^{3} b^{3} d e^{5} + 35 \, a^{4} b^{2} e^{6}\right)} x^{2} + 10 \, {\left(b^{6} d^{5} e + 4 \, a b^{5} d^{4} e^{2} + 10 \, a^{2} b^{4} d^{3} e^{3} + 20 \, a^{3} b^{3} d^{2} e^{4} + 35 \, a^{4} b^{2} d e^{5} + 56 \, a^{5} b e^{6}\right)} x}{840 \, {\left(e^{17} x^{10} + 10 \, d e^{16} x^{9} + 45 \, d^{2} e^{15} x^{8} + 120 \, d^{3} e^{14} x^{7} + 210 \, d^{4} e^{13} x^{6} + 252 \, d^{5} e^{12} x^{5} + 210 \, d^{6} e^{11} x^{4} + 120 \, d^{7} e^{10} x^{3} + 45 \, d^{8} e^{9} x^{2} + 10 \, d^{9} e^{8} x + d^{10} e^{7}\right)}}"," ",0,"-1/840*(210*b^6*e^6*x^6 + b^6*d^6 + 4*a*b^5*d^5*e + 10*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 + 56*a^5*b*d*e^5 + 84*a^6*e^6 + 252*(b^6*d*e^5 + 4*a*b^5*e^6)*x^5 + 210*(b^6*d^2*e^4 + 4*a*b^5*d*e^5 + 10*a^2*b^4*e^6)*x^4 + 120*(b^6*d^3*e^3 + 4*a*b^5*d^2*e^4 + 10*a^2*b^4*d*e^5 + 20*a^3*b^3*e^6)*x^3 + 45*(b^6*d^4*e^2 + 4*a*b^5*d^3*e^3 + 10*a^2*b^4*d^2*e^4 + 20*a^3*b^3*d*e^5 + 35*a^4*b^2*e^6)*x^2 + 10*(b^6*d^5*e + 4*a*b^5*d^4*e^2 + 10*a^2*b^4*d^3*e^3 + 20*a^3*b^3*d^2*e^4 + 35*a^4*b^2*d*e^5 + 56*a^5*b*e^6)*x)/(e^17*x^10 + 10*d*e^16*x^9 + 45*d^2*e^15*x^8 + 120*d^3*e^14*x^7 + 210*d^4*e^13*x^6 + 252*d^5*e^12*x^5 + 210*d^6*e^11*x^4 + 120*d^7*e^10*x^3 + 45*d^8*e^9*x^2 + 10*d^9*e^8*x + d^10*e^7)","B",0
1501,1,463,0,1.750984," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^12,x, algorithm=""maxima"")","-\frac{462 \, b^{6} e^{6} x^{6} + b^{6} d^{6} + 5 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} + 35 \, a^{3} b^{3} d^{3} e^{3} + 70 \, a^{4} b^{2} d^{2} e^{4} + 126 \, a^{5} b d e^{5} + 210 \, a^{6} e^{6} + 462 \, {\left(b^{6} d e^{5} + 5 \, a b^{5} e^{6}\right)} x^{5} + 330 \, {\left(b^{6} d^{2} e^{4} + 5 \, a b^{5} d e^{5} + 15 \, a^{2} b^{4} e^{6}\right)} x^{4} + 165 \, {\left(b^{6} d^{3} e^{3} + 5 \, a b^{5} d^{2} e^{4} + 15 \, a^{2} b^{4} d e^{5} + 35 \, a^{3} b^{3} e^{6}\right)} x^{3} + 55 \, {\left(b^{6} d^{4} e^{2} + 5 \, a b^{5} d^{3} e^{3} + 15 \, a^{2} b^{4} d^{2} e^{4} + 35 \, a^{3} b^{3} d e^{5} + 70 \, a^{4} b^{2} e^{6}\right)} x^{2} + 11 \, {\left(b^{6} d^{5} e + 5 \, a b^{5} d^{4} e^{2} + 15 \, a^{2} b^{4} d^{3} e^{3} + 35 \, a^{3} b^{3} d^{2} e^{4} + 70 \, a^{4} b^{2} d e^{5} + 126 \, a^{5} b e^{6}\right)} x}{2310 \, {\left(e^{18} x^{11} + 11 \, d e^{17} x^{10} + 55 \, d^{2} e^{16} x^{9} + 165 \, d^{3} e^{15} x^{8} + 330 \, d^{4} e^{14} x^{7} + 462 \, d^{5} e^{13} x^{6} + 462 \, d^{6} e^{12} x^{5} + 330 \, d^{7} e^{11} x^{4} + 165 \, d^{8} e^{10} x^{3} + 55 \, d^{9} e^{9} x^{2} + 11 \, d^{10} e^{8} x + d^{11} e^{7}\right)}}"," ",0,"-1/2310*(462*b^6*e^6*x^6 + b^6*d^6 + 5*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 + 35*a^3*b^3*d^3*e^3 + 70*a^4*b^2*d^2*e^4 + 126*a^5*b*d*e^5 + 210*a^6*e^6 + 462*(b^6*d*e^5 + 5*a*b^5*e^6)*x^5 + 330*(b^6*d^2*e^4 + 5*a*b^5*d*e^5 + 15*a^2*b^4*e^6)*x^4 + 165*(b^6*d^3*e^3 + 5*a*b^5*d^2*e^4 + 15*a^2*b^4*d*e^5 + 35*a^3*b^3*e^6)*x^3 + 55*(b^6*d^4*e^2 + 5*a*b^5*d^3*e^3 + 15*a^2*b^4*d^2*e^4 + 35*a^3*b^3*d*e^5 + 70*a^4*b^2*e^6)*x^2 + 11*(b^6*d^5*e + 5*a*b^5*d^4*e^2 + 15*a^2*b^4*d^3*e^3 + 35*a^3*b^3*d^2*e^4 + 70*a^4*b^2*d*e^5 + 126*a^5*b*e^6)*x)/(e^18*x^11 + 11*d*e^17*x^10 + 55*d^2*e^16*x^9 + 165*d^3*e^15*x^8 + 330*d^4*e^14*x^7 + 462*d^5*e^13*x^6 + 462*d^6*e^12*x^5 + 330*d^7*e^11*x^4 + 165*d^8*e^10*x^3 + 55*d^9*e^9*x^2 + 11*d^10*e^8*x + d^11*e^7)","B",0
1502,1,474,0,1.755040," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^13,x, algorithm=""maxima"")","-\frac{924 \, b^{6} e^{6} x^{6} + b^{6} d^{6} + 6 \, a b^{5} d^{5} e + 21 \, a^{2} b^{4} d^{4} e^{2} + 56 \, a^{3} b^{3} d^{3} e^{3} + 126 \, a^{4} b^{2} d^{2} e^{4} + 252 \, a^{5} b d e^{5} + 462 \, a^{6} e^{6} + 792 \, {\left(b^{6} d e^{5} + 6 \, a b^{5} e^{6}\right)} x^{5} + 495 \, {\left(b^{6} d^{2} e^{4} + 6 \, a b^{5} d e^{5} + 21 \, a^{2} b^{4} e^{6}\right)} x^{4} + 220 \, {\left(b^{6} d^{3} e^{3} + 6 \, a b^{5} d^{2} e^{4} + 21 \, a^{2} b^{4} d e^{5} + 56 \, a^{3} b^{3} e^{6}\right)} x^{3} + 66 \, {\left(b^{6} d^{4} e^{2} + 6 \, a b^{5} d^{3} e^{3} + 21 \, a^{2} b^{4} d^{2} e^{4} + 56 \, a^{3} b^{3} d e^{5} + 126 \, a^{4} b^{2} e^{6}\right)} x^{2} + 12 \, {\left(b^{6} d^{5} e + 6 \, a b^{5} d^{4} e^{2} + 21 \, a^{2} b^{4} d^{3} e^{3} + 56 \, a^{3} b^{3} d^{2} e^{4} + 126 \, a^{4} b^{2} d e^{5} + 252 \, a^{5} b e^{6}\right)} x}{5544 \, {\left(e^{19} x^{12} + 12 \, d e^{18} x^{11} + 66 \, d^{2} e^{17} x^{10} + 220 \, d^{3} e^{16} x^{9} + 495 \, d^{4} e^{15} x^{8} + 792 \, d^{5} e^{14} x^{7} + 924 \, d^{6} e^{13} x^{6} + 792 \, d^{7} e^{12} x^{5} + 495 \, d^{8} e^{11} x^{4} + 220 \, d^{9} e^{10} x^{3} + 66 \, d^{10} e^{9} x^{2} + 12 \, d^{11} e^{8} x + d^{12} e^{7}\right)}}"," ",0,"-1/5544*(924*b^6*e^6*x^6 + b^6*d^6 + 6*a*b^5*d^5*e + 21*a^2*b^4*d^4*e^2 + 56*a^3*b^3*d^3*e^3 + 126*a^4*b^2*d^2*e^4 + 252*a^5*b*d*e^5 + 462*a^6*e^6 + 792*(b^6*d*e^5 + 6*a*b^5*e^6)*x^5 + 495*(b^6*d^2*e^4 + 6*a*b^5*d*e^5 + 21*a^2*b^4*e^6)*x^4 + 220*(b^6*d^3*e^3 + 6*a*b^5*d^2*e^4 + 21*a^2*b^4*d*e^5 + 56*a^3*b^3*e^6)*x^3 + 66*(b^6*d^4*e^2 + 6*a*b^5*d^3*e^3 + 21*a^2*b^4*d^2*e^4 + 56*a^3*b^3*d*e^5 + 126*a^4*b^2*e^6)*x^2 + 12*(b^6*d^5*e + 6*a*b^5*d^4*e^2 + 21*a^2*b^4*d^3*e^3 + 56*a^3*b^3*d^2*e^4 + 126*a^4*b^2*d*e^5 + 252*a^5*b*e^6)*x)/(e^19*x^12 + 12*d*e^18*x^11 + 66*d^2*e^17*x^10 + 220*d^3*e^16*x^9 + 495*d^4*e^15*x^8 + 792*d^5*e^14*x^7 + 924*d^6*e^13*x^6 + 792*d^7*e^12*x^5 + 495*d^8*e^11*x^4 + 220*d^9*e^10*x^3 + 66*d^10*e^9*x^2 + 12*d^11*e^8*x + d^12*e^7)","B",0
1503,1,485,0,1.735357," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^14,x, algorithm=""maxima"")","-\frac{1716 \, b^{6} e^{6} x^{6} + b^{6} d^{6} + 7 \, a b^{5} d^{5} e + 28 \, a^{2} b^{4} d^{4} e^{2} + 84 \, a^{3} b^{3} d^{3} e^{3} + 210 \, a^{4} b^{2} d^{2} e^{4} + 462 \, a^{5} b d e^{5} + 924 \, a^{6} e^{6} + 1287 \, {\left(b^{6} d e^{5} + 7 \, a b^{5} e^{6}\right)} x^{5} + 715 \, {\left(b^{6} d^{2} e^{4} + 7 \, a b^{5} d e^{5} + 28 \, a^{2} b^{4} e^{6}\right)} x^{4} + 286 \, {\left(b^{6} d^{3} e^{3} + 7 \, a b^{5} d^{2} e^{4} + 28 \, a^{2} b^{4} d e^{5} + 84 \, a^{3} b^{3} e^{6}\right)} x^{3} + 78 \, {\left(b^{6} d^{4} e^{2} + 7 \, a b^{5} d^{3} e^{3} + 28 \, a^{2} b^{4} d^{2} e^{4} + 84 \, a^{3} b^{3} d e^{5} + 210 \, a^{4} b^{2} e^{6}\right)} x^{2} + 13 \, {\left(b^{6} d^{5} e + 7 \, a b^{5} d^{4} e^{2} + 28 \, a^{2} b^{4} d^{3} e^{3} + 84 \, a^{3} b^{3} d^{2} e^{4} + 210 \, a^{4} b^{2} d e^{5} + 462 \, a^{5} b e^{6}\right)} x}{12012 \, {\left(e^{20} x^{13} + 13 \, d e^{19} x^{12} + 78 \, d^{2} e^{18} x^{11} + 286 \, d^{3} e^{17} x^{10} + 715 \, d^{4} e^{16} x^{9} + 1287 \, d^{5} e^{15} x^{8} + 1716 \, d^{6} e^{14} x^{7} + 1716 \, d^{7} e^{13} x^{6} + 1287 \, d^{8} e^{12} x^{5} + 715 \, d^{9} e^{11} x^{4} + 286 \, d^{10} e^{10} x^{3} + 78 \, d^{11} e^{9} x^{2} + 13 \, d^{12} e^{8} x + d^{13} e^{7}\right)}}"," ",0,"-1/12012*(1716*b^6*e^6*x^6 + b^6*d^6 + 7*a*b^5*d^5*e + 28*a^2*b^4*d^4*e^2 + 84*a^3*b^3*d^3*e^3 + 210*a^4*b^2*d^2*e^4 + 462*a^5*b*d*e^5 + 924*a^6*e^6 + 1287*(b^6*d*e^5 + 7*a*b^5*e^6)*x^5 + 715*(b^6*d^2*e^4 + 7*a*b^5*d*e^5 + 28*a^2*b^4*e^6)*x^4 + 286*(b^6*d^3*e^3 + 7*a*b^5*d^2*e^4 + 28*a^2*b^4*d*e^5 + 84*a^3*b^3*e^6)*x^3 + 78*(b^6*d^4*e^2 + 7*a*b^5*d^3*e^3 + 28*a^2*b^4*d^2*e^4 + 84*a^3*b^3*d*e^5 + 210*a^4*b^2*e^6)*x^2 + 13*(b^6*d^5*e + 7*a*b^5*d^4*e^2 + 28*a^2*b^4*d^3*e^3 + 84*a^3*b^3*d^2*e^4 + 210*a^4*b^2*d*e^5 + 462*a^5*b*e^6)*x)/(e^20*x^13 + 13*d*e^19*x^12 + 78*d^2*e^18*x^11 + 286*d^3*e^17*x^10 + 715*d^4*e^16*x^9 + 1287*d^5*e^15*x^8 + 1716*d^6*e^14*x^7 + 1716*d^7*e^13*x^6 + 1287*d^8*e^12*x^5 + 715*d^9*e^11*x^4 + 286*d^10*e^10*x^3 + 78*d^11*e^9*x^2 + 13*d^12*e^8*x + d^13*e^7)","B",0
1504,1,496,0,2.008275," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^15,x, algorithm=""maxima"")","-\frac{3003 \, b^{6} e^{6} x^{6} + b^{6} d^{6} + 8 \, a b^{5} d^{5} e + 36 \, a^{2} b^{4} d^{4} e^{2} + 120 \, a^{3} b^{3} d^{3} e^{3} + 330 \, a^{4} b^{2} d^{2} e^{4} + 792 \, a^{5} b d e^{5} + 1716 \, a^{6} e^{6} + 2002 \, {\left(b^{6} d e^{5} + 8 \, a b^{5} e^{6}\right)} x^{5} + 1001 \, {\left(b^{6} d^{2} e^{4} + 8 \, a b^{5} d e^{5} + 36 \, a^{2} b^{4} e^{6}\right)} x^{4} + 364 \, {\left(b^{6} d^{3} e^{3} + 8 \, a b^{5} d^{2} e^{4} + 36 \, a^{2} b^{4} d e^{5} + 120 \, a^{3} b^{3} e^{6}\right)} x^{3} + 91 \, {\left(b^{6} d^{4} e^{2} + 8 \, a b^{5} d^{3} e^{3} + 36 \, a^{2} b^{4} d^{2} e^{4} + 120 \, a^{3} b^{3} d e^{5} + 330 \, a^{4} b^{2} e^{6}\right)} x^{2} + 14 \, {\left(b^{6} d^{5} e + 8 \, a b^{5} d^{4} e^{2} + 36 \, a^{2} b^{4} d^{3} e^{3} + 120 \, a^{3} b^{3} d^{2} e^{4} + 330 \, a^{4} b^{2} d e^{5} + 792 \, a^{5} b e^{6}\right)} x}{24024 \, {\left(e^{21} x^{14} + 14 \, d e^{20} x^{13} + 91 \, d^{2} e^{19} x^{12} + 364 \, d^{3} e^{18} x^{11} + 1001 \, d^{4} e^{17} x^{10} + 2002 \, d^{5} e^{16} x^{9} + 3003 \, d^{6} e^{15} x^{8} + 3432 \, d^{7} e^{14} x^{7} + 3003 \, d^{8} e^{13} x^{6} + 2002 \, d^{9} e^{12} x^{5} + 1001 \, d^{10} e^{11} x^{4} + 364 \, d^{11} e^{10} x^{3} + 91 \, d^{12} e^{9} x^{2} + 14 \, d^{13} e^{8} x + d^{14} e^{7}\right)}}"," ",0,"-1/24024*(3003*b^6*e^6*x^6 + b^6*d^6 + 8*a*b^5*d^5*e + 36*a^2*b^4*d^4*e^2 + 120*a^3*b^3*d^3*e^3 + 330*a^4*b^2*d^2*e^4 + 792*a^5*b*d*e^5 + 1716*a^6*e^6 + 2002*(b^6*d*e^5 + 8*a*b^5*e^6)*x^5 + 1001*(b^6*d^2*e^4 + 8*a*b^5*d*e^5 + 36*a^2*b^4*e^6)*x^4 + 364*(b^6*d^3*e^3 + 8*a*b^5*d^2*e^4 + 36*a^2*b^4*d*e^5 + 120*a^3*b^3*e^6)*x^3 + 91*(b^6*d^4*e^2 + 8*a*b^5*d^3*e^3 + 36*a^2*b^4*d^2*e^4 + 120*a^3*b^3*d*e^5 + 330*a^4*b^2*e^6)*x^2 + 14*(b^6*d^5*e + 8*a*b^5*d^4*e^2 + 36*a^2*b^4*d^3*e^3 + 120*a^3*b^3*d^2*e^4 + 330*a^4*b^2*d*e^5 + 792*a^5*b*e^6)*x)/(e^21*x^14 + 14*d*e^20*x^13 + 91*d^2*e^19*x^12 + 364*d^3*e^18*x^11 + 1001*d^4*e^17*x^10 + 2002*d^5*e^16*x^9 + 3003*d^6*e^15*x^8 + 3432*d^7*e^14*x^7 + 3003*d^8*e^13*x^6 + 2002*d^9*e^12*x^5 + 1001*d^10*e^11*x^4 + 364*d^11*e^10*x^3 + 91*d^12*e^9*x^2 + 14*d^13*e^8*x + d^14*e^7)","B",0
1505,1,265,0,1.390338," ","integrate((e*x+d)^5/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{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}}{b^{7} x + a b^{6}} + \frac{3 \, b^{3} e^{5} x^{4} + 4 \, {\left(5 \, b^{3} d e^{4} - 2 \, a b^{2} e^{5}\right)} x^{3} + 6 \, {\left(10 \, b^{3} d^{2} e^{3} - 10 \, a b^{2} d e^{4} + 3 \, a^{2} b e^{5}\right)} x^{2} + 12 \, {\left(10 \, b^{3} d^{3} e^{2} - 20 \, a b^{2} d^{2} e^{3} + 15 \, a^{2} b d e^{4} - 4 \, a^{3} e^{5}\right)} x}{12 \, b^{5}} + \frac{5 \, {\left(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}\right)} \log\left(b x + a\right)}{b^{6}}"," ",0,"-(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)/(b^7*x + a*b^6) + 1/12*(3*b^3*e^5*x^4 + 4*(5*b^3*d*e^4 - 2*a*b^2*e^5)*x^3 + 6*(10*b^3*d^2*e^3 - 10*a*b^2*d*e^4 + 3*a^2*b*e^5)*x^2 + 12*(10*b^3*d^3*e^2 - 20*a*b^2*d^2*e^3 + 15*a^2*b*d*e^4 - 4*a^3*e^5)*x)/b^5 + 5*(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)*log(b*x + a)/b^6","B",0
1506,1,184,0,1.382217," ","integrate((e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{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^{6} x + a b^{5}} + \frac{b^{2} e^{4} x^{3} + 3 \, {\left(2 \, b^{2} d e^{3} - a b e^{4}\right)} x^{2} + 3 \, {\left(6 \, b^{2} d^{2} e^{2} - 8 \, a b d e^{3} + 3 \, a^{2} e^{4}\right)} x}{3 \, b^{4}} + \frac{4 \, {\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)} \log\left(b x + a\right)}{b^{5}}"," ",0,"-(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^6*x + a*b^5) + 1/3*(b^2*e^4*x^3 + 3*(2*b^2*d*e^3 - a*b*e^4)*x^2 + 3*(6*b^2*d^2*e^2 - 8*a*b*d*e^3 + 3*a^2*e^4)*x)/b^4 + 4*(b^3*d^3*e - 3*a*b^2*d^2*e^2 + 3*a^2*b*d*e^3 - a^3*e^4)*log(b*x + a)/b^5","A",0
1507,1,118,0,1.398555," ","integrate((e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}}{b^{5} x + a b^{4}} + \frac{b e^{3} x^{2} + 2 \, {\left(3 \, b d e^{2} - 2 \, a e^{3}\right)} x}{2 \, b^{3}} + \frac{3 \, {\left(b^{2} d^{2} e - 2 \, a b d e^{2} + a^{2} e^{3}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"-(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)/(b^5*x + a*b^4) + 1/2*(b*e^3*x^2 + 2*(3*b*d*e^2 - 2*a*e^3)*x)/b^3 + 3*(b^2*d^2*e - 2*a*b*d*e^2 + a^2*e^3)*log(b*x + a)/b^4","A",0
1508,1,67,0,1.398149," ","integrate((e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{e^{2} x}{b^{2}} - \frac{b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}}{b^{4} x + a b^{3}} + \frac{2 \, {\left(b d e - a e^{2}\right)} \log\left(b x + a\right)}{b^{3}}"," ",0,"e^2*x/b^2 - (b^2*d^2 - 2*a*b*d*e + a^2*e^2)/(b^4*x + a*b^3) + 2*(b*d*e - a*e^2)*log(b*x + a)/b^3","A",0
1509,1,35,0,1.257170," ","integrate((e*x+d)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{b d - a e}{b^{3} x + a b^{2}} + \frac{e \log\left(b x + a\right)}{b^{2}}"," ",0,"-(b*d - a*e)/(b^3*x + a*b^2) + e*log(b*x + a)/b^2","A",0
1510,1,13,0,1.327189," ","integrate(1/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{1}{b^{2} x + a b}"," ",0,"-1/(b^2*x + a*b)","A",0
1511,1,92,0,1.363091," ","integrate(1/(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{e \log\left(b x + a\right)}{b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}} + \frac{e \log\left(e x + d\right)}{b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}} - \frac{1}{a b d - a^{2} e + {\left(b^{2} d - a b e\right)} x}"," ",0,"-e*log(b*x + a)/(b^2*d^2 - 2*a*b*d*e + a^2*e^2) + e*log(e*x + d)/(b^2*d^2 - 2*a*b*d*e + a^2*e^2) - 1/(a*b*d - a^2*e + (b^2*d - a*b*e)*x)","A",0
1512,1,208,0,1.483064," ","integrate(1/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{2 \, b e \log\left(b x + a\right)}{b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}} + \frac{2 \, b e \log\left(e x + d\right)}{b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}} - \frac{2 \, b e x + b d + a e}{a b^{2} d^{3} - 2 \, a^{2} b d^{2} e + a^{3} d e^{2} + {\left(b^{3} d^{2} e - 2 \, a b^{2} d e^{2} + a^{2} b e^{3}\right)} x^{2} + {\left(b^{3} d^{3} - a b^{2} d^{2} e - a^{2} b d e^{2} + a^{3} e^{3}\right)} x}"," ",0,"-2*b*e*log(b*x + a)/(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3) + 2*b*e*log(e*x + d)/(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3) - (2*b*e*x + b*d + a*e)/(a*b^2*d^3 - 2*a^2*b*d^2*e + a^3*d*e^2 + (b^3*d^2*e - 2*a*b^2*d*e^2 + a^2*b*e^3)*x^2 + (b^3*d^3 - a*b^2*d^2*e - a^2*b*d*e^2 + a^3*e^3)*x)","B",0
1513,1,386,0,1.679432," ","integrate(1/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{3 \, b^{2} e \log\left(b x + a\right)}{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}} + \frac{3 \, b^{2} e \log\left(e x + d\right)}{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}} - \frac{6 \, b^{2} e^{2} x^{2} + 2 \, b^{2} d^{2} + 5 \, a b d e - a^{2} e^{2} + 3 \, {\left(3 \, b^{2} d e + a b e^{2}\right)} x}{2 \, {\left(a b^{3} d^{5} - 3 \, a^{2} b^{2} d^{4} e + 3 \, a^{3} b d^{3} e^{2} - a^{4} d^{2} e^{3} + {\left(b^{4} d^{3} e^{2} - 3 \, a b^{3} d^{2} e^{3} + 3 \, a^{2} b^{2} d e^{4} - a^{3} b e^{5}\right)} x^{3} + {\left(2 \, b^{4} d^{4} e - 5 \, a b^{3} d^{3} e^{2} + 3 \, a^{2} b^{2} d^{2} e^{3} + a^{3} b d e^{4} - a^{4} e^{5}\right)} x^{2} + {\left(b^{4} d^{5} - a b^{3} d^{4} e - 3 \, a^{2} b^{2} d^{3} e^{2} + 5 \, a^{3} b d^{2} e^{3} - 2 \, a^{4} d e^{4}\right)} x\right)}}"," ",0,"-3*b^2*e*log(b*x + a)/(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) + 3*b^2*e*log(e*x + d)/(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) - 1/2*(6*b^2*e^2*x^2 + 2*b^2*d^2 + 5*a*b*d*e - a^2*e^2 + 3*(3*b^2*d*e + a*b*e^2)*x)/(a*b^3*d^5 - 3*a^2*b^2*d^4*e + 3*a^3*b*d^3*e^2 - a^4*d^2*e^3 + (b^4*d^3*e^2 - 3*a*b^3*d^2*e^3 + 3*a^2*b^2*d*e^4 - a^3*b*e^5)*x^3 + (2*b^4*d^4*e - 5*a*b^3*d^3*e^2 + 3*a^2*b^2*d^2*e^3 + a^3*b*d*e^4 - a^4*e^5)*x^2 + (b^4*d^5 - a*b^3*d^4*e - 3*a^2*b^2*d^3*e^2 + 5*a^3*b*d^2*e^3 - 2*a^4*d*e^4)*x)","B",0
1514,1,599,0,1.800156," ","integrate(1/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{4 \, b^{3} e \log\left(b x + a\right)}{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}} + \frac{4 \, b^{3} e \log\left(e x + d\right)}{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}} - \frac{12 \, b^{3} e^{3} x^{3} + 3 \, b^{3} d^{3} + 13 \, a b^{2} d^{2} e - 5 \, a^{2} b d e^{2} + a^{3} e^{3} + 6 \, {\left(5 \, b^{3} d e^{2} + a b^{2} e^{3}\right)} x^{2} + 2 \, {\left(11 \, b^{3} d^{2} e + 8 \, a b^{2} d e^{2} - a^{2} b e^{3}\right)} x}{3 \, {\left(a b^{4} d^{7} - 4 \, a^{2} b^{3} d^{6} e + 6 \, a^{3} b^{2} d^{5} e^{2} - 4 \, a^{4} b d^{4} e^{3} + a^{5} d^{3} e^{4} + {\left(b^{5} d^{4} e^{3} - 4 \, a b^{4} d^{3} e^{4} + 6 \, a^{2} b^{3} d^{2} e^{5} - 4 \, a^{3} b^{2} d e^{6} + a^{4} b e^{7}\right)} x^{4} + {\left(3 \, b^{5} d^{5} e^{2} - 11 \, a b^{4} d^{4} e^{3} + 14 \, a^{2} b^{3} d^{3} e^{4} - 6 \, a^{3} b^{2} d^{2} e^{5} - a^{4} b d e^{6} + a^{5} e^{7}\right)} x^{3} + 3 \, {\left(b^{5} d^{6} e - 3 \, a b^{4} d^{5} e^{2} + 2 \, a^{2} b^{3} d^{4} e^{3} + 2 \, a^{3} b^{2} d^{3} e^{4} - 3 \, a^{4} b d^{2} e^{5} + a^{5} d e^{6}\right)} x^{2} + {\left(b^{5} d^{7} - a b^{4} d^{6} e - 6 \, a^{2} b^{3} d^{5} e^{2} + 14 \, a^{3} b^{2} d^{4} e^{3} - 11 \, a^{4} b d^{3} e^{4} + 3 \, a^{5} d^{2} e^{5}\right)} x\right)}}"," ",0,"-4*b^3*e*log(b*x + a)/(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) + 4*b^3*e*log(e*x + d)/(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) - 1/3*(12*b^3*e^3*x^3 + 3*b^3*d^3 + 13*a*b^2*d^2*e - 5*a^2*b*d*e^2 + a^3*e^3 + 6*(5*b^3*d*e^2 + a*b^2*e^3)*x^2 + 2*(11*b^3*d^2*e + 8*a*b^2*d*e^2 - a^2*b*e^3)*x)/(a*b^4*d^7 - 4*a^2*b^3*d^6*e + 6*a^3*b^2*d^5*e^2 - 4*a^4*b*d^4*e^3 + a^5*d^3*e^4 + (b^5*d^4*e^3 - 4*a*b^4*d^3*e^4 + 6*a^2*b^3*d^2*e^5 - 4*a^3*b^2*d*e^6 + a^4*b*e^7)*x^4 + (3*b^5*d^5*e^2 - 11*a*b^4*d^4*e^3 + 14*a^2*b^3*d^3*e^4 - 6*a^3*b^2*d^2*e^5 - a^4*b*d*e^6 + a^5*e^7)*x^3 + 3*(b^5*d^6*e - 3*a*b^4*d^5*e^2 + 2*a^2*b^3*d^4*e^3 + 2*a^3*b^2*d^3*e^4 - 3*a^4*b*d^2*e^5 + a^5*d*e^6)*x^2 + (b^5*d^7 - a*b^4*d^6*e - 6*a^2*b^3*d^5*e^2 + 14*a^3*b^2*d^4*e^3 - 11*a^4*b*d^3*e^4 + 3*a^5*d^2*e^5)*x)","B",0
1515,1,374,0,1.585066," ","integrate((e*x+d)^6/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{b^{6} d^{6} + 3 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 110 \, a^{3} b^{3} d^{3} e^{3} + 195 \, a^{4} b^{2} d^{2} e^{4} - 141 \, a^{5} b d e^{5} + 37 \, a^{6} e^{6} + 45 \, {\left(b^{6} d^{4} e^{2} - 4 \, a b^{5} d^{3} e^{3} + 6 \, a^{2} b^{4} d^{2} e^{4} - 4 \, a^{3} b^{3} d e^{5} + a^{4} b^{2} e^{6}\right)} x^{2} + 9 \, {\left(b^{6} d^{5} e + 5 \, a b^{5} d^{4} e^{2} - 30 \, a^{2} b^{4} d^{3} e^{3} + 50 \, a^{3} b^{3} d^{2} e^{4} - 35 \, a^{4} b^{2} d e^{5} + 9 \, a^{5} b e^{6}\right)} x}{3 \, {\left(b^{10} x^{3} + 3 \, a b^{9} x^{2} + 3 \, a^{2} b^{8} x + a^{3} b^{7}\right)}} + \frac{b^{2} e^{6} x^{3} + 3 \, {\left(3 \, b^{2} d e^{5} - 2 \, a b e^{6}\right)} x^{2} + 3 \, {\left(15 \, b^{2} d^{2} e^{4} - 24 \, a b d e^{5} + 10 \, a^{2} e^{6}\right)} x}{3 \, b^{6}} + \frac{20 \, {\left(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}\right)} \log\left(b x + a\right)}{b^{7}}"," ",0,"-1/3*(b^6*d^6 + 3*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 110*a^3*b^3*d^3*e^3 + 195*a^4*b^2*d^2*e^4 - 141*a^5*b*d*e^5 + 37*a^6*e^6 + 45*(b^6*d^4*e^2 - 4*a*b^5*d^3*e^3 + 6*a^2*b^4*d^2*e^4 - 4*a^3*b^3*d*e^5 + a^4*b^2*e^6)*x^2 + 9*(b^6*d^5*e + 5*a*b^5*d^4*e^2 - 30*a^2*b^4*d^3*e^3 + 50*a^3*b^3*d^2*e^4 - 35*a^4*b^2*d*e^5 + 9*a^5*b*e^6)*x)/(b^10*x^3 + 3*a*b^9*x^2 + 3*a^2*b^8*x + a^3*b^7) + 1/3*(b^2*e^6*x^3 + 3*(3*b^2*d*e^5 - 2*a*b*e^6)*x^2 + 3*(15*b^2*d^2*e^4 - 24*a*b*d*e^5 + 10*a^2*e^6)*x)/b^6 + 20*(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)*log(b*x + a)/b^7","B",0
1516,1,281,0,1.478295," ","integrate((e*x+d)^5/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{2 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 20 \, a^{2} b^{3} d^{3} e^{2} - 110 \, a^{3} b^{2} d^{2} e^{3} + 130 \, a^{4} b d e^{4} - 47 \, a^{5} e^{5} + 60 \, {\left(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)} x^{2} + 15 \, {\left(b^{5} d^{4} e + 4 \, a b^{4} d^{3} e^{2} - 18 \, a^{2} b^{3} d^{2} e^{3} + 20 \, a^{3} b^{2} d e^{4} - 7 \, a^{4} b e^{5}\right)} x}{6 \, {\left(b^{9} x^{3} + 3 \, a b^{8} x^{2} + 3 \, a^{2} b^{7} x + a^{3} b^{6}\right)}} + \frac{b e^{5} x^{2} + 2 \, {\left(5 \, b d e^{4} - 4 \, a e^{5}\right)} x}{2 \, b^{5}} + \frac{10 \, {\left(b^{2} d^{2} e^{3} - 2 \, a b d e^{4} + a^{2} e^{5}\right)} \log\left(b x + a\right)}{b^{6}}"," ",0,"-1/6*(2*b^5*d^5 + 5*a*b^4*d^4*e + 20*a^2*b^3*d^3*e^2 - 110*a^3*b^2*d^2*e^3 + 130*a^4*b*d*e^4 - 47*a^5*e^5 + 60*(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)*x^2 + 15*(b^5*d^4*e + 4*a*b^4*d^3*e^2 - 18*a^2*b^3*d^2*e^3 + 20*a^3*b^2*d*e^4 - 7*a^4*b*e^5)*x)/(b^9*x^3 + 3*a*b^8*x^2 + 3*a^2*b^7*x + a^3*b^6) + 1/2*(b*e^5*x^2 + 2*(5*b*d*e^4 - 4*a*e^5)*x)/b^5 + 10*(b^2*d^2*e^3 - 2*a*b*d*e^4 + a^2*e^5)*log(b*x + a)/b^6","B",0
1517,1,201,0,1.451110," ","integrate((e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{e^{4} x}{b^{4}} - \frac{b^{4} d^{4} + 2 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} - 22 \, a^{3} b d e^{3} + 13 \, a^{4} e^{4} + 18 \, {\left(b^{4} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + a^{2} b^{2} e^{4}\right)} x^{2} + 6 \, {\left(b^{4} d^{3} e + 3 \, a b^{3} d^{2} e^{2} - 9 \, a^{2} b^{2} d e^{3} + 5 \, a^{3} b e^{4}\right)} x}{3 \, {\left(b^{8} x^{3} + 3 \, a b^{7} x^{2} + 3 \, a^{2} b^{6} x + a^{3} b^{5}\right)}} + \frac{4 \, {\left(b d e^{3} - a e^{4}\right)} \log\left(b x + a\right)}{b^{5}}"," ",0,"e^4*x/b^4 - 1/3*(b^4*d^4 + 2*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 - 22*a^3*b*d*e^3 + 13*a^4*e^4 + 18*(b^4*d^2*e^2 - 2*a*b^3*d*e^3 + a^2*b^2*e^4)*x^2 + 6*(b^4*d^3*e + 3*a*b^3*d^2*e^2 - 9*a^2*b^2*d*e^3 + 5*a^3*b*e^4)*x)/(b^8*x^3 + 3*a*b^7*x^2 + 3*a^2*b^6*x + a^3*b^5) + 4*(b*d*e^3 - a*e^4)*log(b*x + a)/b^5","A",0
1518,1,142,0,1.385964," ","integrate((e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{2 \, b^{3} d^{3} + 3 \, a b^{2} d^{2} e + 6 \, a^{2} b d e^{2} - 11 \, a^{3} e^{3} + 18 \, {\left(b^{3} d e^{2} - a b^{2} e^{3}\right)} x^{2} + 9 \, {\left(b^{3} d^{2} e + 2 \, a b^{2} d e^{2} - 3 \, a^{2} b e^{3}\right)} x}{6 \, {\left(b^{7} x^{3} + 3 \, a b^{6} x^{2} + 3 \, a^{2} b^{5} x + a^{3} b^{4}\right)}} + \frac{e^{3} \log\left(b x + a\right)}{b^{4}}"," ",0,"-1/6*(2*b^3*d^3 + 3*a*b^2*d^2*e + 6*a^2*b*d*e^2 - 11*a^3*e^3 + 18*(b^3*d*e^2 - a*b^2*e^3)*x^2 + 9*(b^3*d^2*e + 2*a*b^2*d*e^2 - 3*a^2*b*e^3)*x)/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4) + e^3*log(b*x + a)/b^4","A",0
1519,1,84,0,1.411216," ","integrate((e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, b^{2} e^{2} x^{2} + b^{2} d^{2} + a b d e + a^{2} e^{2} + 3 \, {\left(b^{2} d e + a b e^{2}\right)} x}{3 \, {\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}"," ",0,"-1/3*(3*b^2*e^2*x^2 + b^2*d^2 + a*b*d*e + a^2*e^2 + 3*(b^2*d*e + a*b*e^2)*x)/(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + a^3*b^3)","B",0
1520,1,50,0,1.285495," ","integrate((e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, b e x + 2 \, b d + a e}{6 \, {\left(b^{5} x^{3} + 3 \, a b^{4} x^{2} + 3 \, a^{2} b^{3} x + a^{3} b^{2}\right)}}"," ",0,"-1/6*(3*b*e*x + 2*b*d + a*e)/(b^5*x^3 + 3*a*b^4*x^2 + 3*a^2*b^3*x + a^3*b^2)","A",0
1521,1,35,0,1.338918," ","integrate(1/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(b^{4} x^{3} + 3 \, a b^{3} x^{2} + 3 \, a^{2} b^{2} x + a^{3} b\right)}}"," ",0,"-1/3/(b^4*x^3 + 3*a*b^3*x^2 + 3*a^2*b^2*x + a^3*b)","B",0
1522,1,361,0,1.544433," ","integrate(1/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{e^{3} \log\left(b x + a\right)}{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}} + \frac{e^{3} \log\left(e x + d\right)}{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}} - \frac{6 \, b^{2} e^{2} x^{2} + 2 \, b^{2} d^{2} - 7 \, a b d e + 11 \, a^{2} e^{2} - 3 \, {\left(b^{2} d e - 5 \, a b e^{2}\right)} x}{6 \, {\left(a^{3} b^{3} d^{3} - 3 \, a^{4} b^{2} d^{2} e + 3 \, a^{5} b d e^{2} - a^{6} e^{3} + {\left(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}\right)} x^{3} + 3 \, {\left(a b^{5} d^{3} - 3 \, a^{2} b^{4} d^{2} e + 3 \, a^{3} b^{3} d e^{2} - a^{4} b^{2} e^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{4} d^{3} - 3 \, a^{3} b^{3} d^{2} e + 3 \, a^{4} b^{2} d e^{2} - a^{5} b e^{3}\right)} x\right)}}"," ",0,"-e^3*log(b*x + a)/(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) + e^3*log(e*x + d)/(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) - 1/6*(6*b^2*e^2*x^2 + 2*b^2*d^2 - 7*a*b*d*e + 11*a^2*e^2 - 3*(b^2*d*e - 5*a*b*e^2)*x)/(a^3*b^3*d^3 - 3*a^4*b^2*d^2*e + 3*a^5*b*d*e^2 - a^6*e^3 + (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)*x^3 + 3*(a*b^5*d^3 - 3*a^2*b^4*d^2*e + 3*a^3*b^3*d*e^2 - a^4*b^2*e^3)*x^2 + 3*(a^2*b^4*d^3 - 3*a^3*b^3*d^2*e + 3*a^4*b^2*d*e^2 - a^5*b*e^3)*x)","B",0
1523,1,598,0,1.780899," ","integrate(1/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{4 \, b e^{3} \log\left(b x + a\right)}{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}} + \frac{4 \, b e^{3} \log\left(e x + d\right)}{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}} - \frac{12 \, b^{3} e^{3} x^{3} + b^{3} d^{3} - 5 \, a b^{2} d^{2} e + 13 \, a^{2} b d e^{2} + 3 \, a^{3} e^{3} + 6 \, {\left(b^{3} d e^{2} + 5 \, a b^{2} e^{3}\right)} x^{2} - 2 \, {\left(b^{3} d^{2} e - 8 \, a b^{2} d e^{2} - 11 \, a^{2} b e^{3}\right)} x}{3 \, {\left(a^{3} b^{4} d^{5} - 4 \, a^{4} b^{3} d^{4} e + 6 \, a^{5} b^{2} d^{3} e^{2} - 4 \, a^{6} b d^{2} e^{3} + a^{7} d e^{4} + {\left(b^{7} d^{4} e - 4 \, a b^{6} d^{3} e^{2} + 6 \, a^{2} b^{5} d^{2} e^{3} - 4 \, a^{3} b^{4} d e^{4} + a^{4} b^{3} e^{5}\right)} x^{4} + {\left(b^{7} d^{5} - a b^{6} d^{4} e - 6 \, a^{2} b^{5} d^{3} e^{2} + 14 \, a^{3} b^{4} d^{2} e^{3} - 11 \, a^{4} b^{3} d e^{4} + 3 \, a^{5} b^{2} e^{5}\right)} x^{3} + 3 \, {\left(a b^{6} d^{5} - 3 \, a^{2} b^{5} d^{4} e + 2 \, a^{3} b^{4} d^{3} e^{2} + 2 \, a^{4} b^{3} d^{2} e^{3} - 3 \, a^{5} b^{2} d e^{4} + a^{6} b e^{5}\right)} x^{2} + {\left(3 \, a^{2} b^{5} d^{5} - 11 \, a^{3} b^{4} d^{4} e + 14 \, a^{4} b^{3} d^{3} e^{2} - 6 \, a^{5} b^{2} d^{2} e^{3} - a^{6} b d e^{4} + a^{7} e^{5}\right)} x\right)}}"," ",0,"-4*b*e^3*log(b*x + a)/(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) + 4*b*e^3*log(e*x + d)/(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) - 1/3*(12*b^3*e^3*x^3 + b^3*d^3 - 5*a*b^2*d^2*e + 13*a^2*b*d*e^2 + 3*a^3*e^3 + 6*(b^3*d*e^2 + 5*a*b^2*e^3)*x^2 - 2*(b^3*d^2*e - 8*a*b^2*d*e^2 - 11*a^2*b*e^3)*x)/(a^3*b^4*d^5 - 4*a^4*b^3*d^4*e + 6*a^5*b^2*d^3*e^2 - 4*a^6*b*d^2*e^3 + a^7*d*e^4 + (b^7*d^4*e - 4*a*b^6*d^3*e^2 + 6*a^2*b^5*d^2*e^3 - 4*a^3*b^4*d*e^4 + a^4*b^3*e^5)*x^4 + (b^7*d^5 - a*b^6*d^4*e - 6*a^2*b^5*d^3*e^2 + 14*a^3*b^4*d^2*e^3 - 11*a^4*b^3*d*e^4 + 3*a^5*b^2*e^5)*x^3 + 3*(a*b^6*d^5 - 3*a^2*b^5*d^4*e + 2*a^3*b^4*d^3*e^2 + 2*a^4*b^3*d^2*e^3 - 3*a^5*b^2*d*e^4 + a^6*b*e^5)*x^2 + (3*a^2*b^5*d^5 - 11*a^3*b^4*d^4*e + 14*a^4*b^3*d^3*e^2 - 6*a^5*b^2*d^2*e^3 - a^6*b*d*e^4 + a^7*e^5)*x)","B",0
1524,1,889,0,2.246775," ","integrate(1/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{10 \, b^{2} e^{3} \log\left(b x + a\right)}{b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}} + \frac{10 \, b^{2} e^{3} \log\left(e x + d\right)}{b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}} - \frac{60 \, b^{4} e^{4} x^{4} + 2 \, b^{4} d^{4} - 13 \, a b^{3} d^{3} e + 47 \, a^{2} b^{2} d^{2} e^{2} + 27 \, a^{3} b d e^{3} - 3 \, a^{4} e^{4} + 30 \, {\left(3 \, b^{4} d e^{3} + 5 \, a b^{3} e^{4}\right)} x^{3} + 10 \, {\left(2 \, b^{4} d^{2} e^{2} + 23 \, a b^{3} d e^{3} + 11 \, a^{2} b^{2} e^{4}\right)} x^{2} - 5 \, {\left(b^{4} d^{3} e - 11 \, a b^{3} d^{2} e^{2} - 35 \, a^{2} b^{2} d e^{3} - 3 \, a^{3} b e^{4}\right)} x}{6 \, {\left(a^{3} b^{5} d^{7} - 5 \, a^{4} b^{4} d^{6} e + 10 \, a^{5} b^{3} d^{5} e^{2} - 10 \, a^{6} b^{2} d^{4} e^{3} + 5 \, a^{7} b d^{3} e^{4} - a^{8} d^{2} e^{5} + {\left(b^{8} d^{5} e^{2} - 5 \, a b^{7} d^{4} e^{3} + 10 \, a^{2} b^{6} d^{3} e^{4} - 10 \, a^{3} b^{5} d^{2} e^{5} + 5 \, a^{4} b^{4} d e^{6} - a^{5} b^{3} e^{7}\right)} x^{5} + {\left(2 \, b^{8} d^{6} e - 7 \, a b^{7} d^{5} e^{2} + 5 \, a^{2} b^{6} d^{4} e^{3} + 10 \, a^{3} b^{5} d^{3} e^{4} - 20 \, a^{4} b^{4} d^{2} e^{5} + 13 \, a^{5} b^{3} d e^{6} - 3 \, a^{6} b^{2} e^{7}\right)} x^{4} + {\left(b^{8} d^{7} + a b^{7} d^{6} e - 17 \, a^{2} b^{6} d^{5} e^{2} + 35 \, a^{3} b^{5} d^{4} e^{3} - 25 \, a^{4} b^{4} d^{3} e^{4} - a^{5} b^{3} d^{2} e^{5} + 9 \, a^{6} b^{2} d e^{6} - 3 \, a^{7} b e^{7}\right)} x^{3} + {\left(3 \, a b^{7} d^{7} - 9 \, a^{2} b^{6} d^{6} e + a^{3} b^{5} d^{5} e^{2} + 25 \, a^{4} b^{4} d^{4} e^{3} - 35 \, a^{5} b^{3} d^{3} e^{4} + 17 \, a^{6} b^{2} d^{2} e^{5} - a^{7} b d e^{6} - a^{8} e^{7}\right)} x^{2} + {\left(3 \, a^{2} b^{6} d^{7} - 13 \, a^{3} b^{5} d^{6} e + 20 \, a^{4} b^{4} d^{5} e^{2} - 10 \, a^{5} b^{3} d^{4} e^{3} - 5 \, a^{6} b^{2} d^{3} e^{4} + 7 \, a^{7} b d^{2} e^{5} - 2 \, a^{8} d e^{6}\right)} x\right)}}"," ",0,"-10*b^2*e^3*log(b*x + a)/(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6) + 10*b^2*e^3*log(e*x + d)/(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6) - 1/6*(60*b^4*e^4*x^4 + 2*b^4*d^4 - 13*a*b^3*d^3*e + 47*a^2*b^2*d^2*e^2 + 27*a^3*b*d*e^3 - 3*a^4*e^4 + 30*(3*b^4*d*e^3 + 5*a*b^3*e^4)*x^3 + 10*(2*b^4*d^2*e^2 + 23*a*b^3*d*e^3 + 11*a^2*b^2*e^4)*x^2 - 5*(b^4*d^3*e - 11*a*b^3*d^2*e^2 - 35*a^2*b^2*d*e^3 - 3*a^3*b*e^4)*x)/(a^3*b^5*d^7 - 5*a^4*b^4*d^6*e + 10*a^5*b^3*d^5*e^2 - 10*a^6*b^2*d^4*e^3 + 5*a^7*b*d^3*e^4 - a^8*d^2*e^5 + (b^8*d^5*e^2 - 5*a*b^7*d^4*e^3 + 10*a^2*b^6*d^3*e^4 - 10*a^3*b^5*d^2*e^5 + 5*a^4*b^4*d*e^6 - a^5*b^3*e^7)*x^5 + (2*b^8*d^6*e - 7*a*b^7*d^5*e^2 + 5*a^2*b^6*d^4*e^3 + 10*a^3*b^5*d^3*e^4 - 20*a^4*b^4*d^2*e^5 + 13*a^5*b^3*d*e^6 - 3*a^6*b^2*e^7)*x^4 + (b^8*d^7 + a*b^7*d^6*e - 17*a^2*b^6*d^5*e^2 + 35*a^3*b^5*d^4*e^3 - 25*a^4*b^4*d^3*e^4 - a^5*b^3*d^2*e^5 + 9*a^6*b^2*d*e^6 - 3*a^7*b*e^7)*x^3 + (3*a*b^7*d^7 - 9*a^2*b^6*d^6*e + a^3*b^5*d^5*e^2 + 25*a^4*b^4*d^4*e^3 - 35*a^5*b^3*d^3*e^4 + 17*a^6*b^2*d^2*e^5 - a^7*b*d*e^6 - a^8*e^7)*x^2 + (3*a^2*b^6*d^7 - 13*a^3*b^5*d^6*e + 20*a^4*b^4*d^5*e^2 - 10*a^5*b^3*d^4*e^3 - 5*a^6*b^2*d^3*e^4 + 7*a^7*b*d^2*e^5 - 2*a^8*d*e^6)*x)","B",0
1525,1,626,0,1.965813," ","integrate((e*x+d)^8/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{3 \, b^{8} d^{8} + 6 \, a b^{7} d^{7} e + 14 \, a^{2} b^{6} d^{6} e^{2} + 42 \, a^{3} b^{5} d^{5} e^{3} + 210 \, a^{4} b^{4} d^{4} e^{4} - 1918 \, a^{5} b^{3} d^{3} e^{5} + 3654 \, a^{6} b^{2} d^{2} e^{6} - 2754 \, a^{7} b d e^{7} + 743 \, a^{8} e^{8} + 1050 \, {\left(b^{8} d^{4} e^{4} - 4 \, a b^{7} d^{3} e^{5} + 6 \, a^{2} b^{6} d^{2} e^{6} - 4 \, a^{3} b^{5} d e^{7} + a^{4} b^{4} e^{8}\right)} x^{4} + 420 \, {\left(b^{8} d^{5} e^{3} + 5 \, a b^{7} d^{4} e^{4} - 30 \, a^{2} b^{6} d^{3} e^{5} + 50 \, a^{3} b^{5} d^{2} e^{6} - 35 \, a^{4} b^{4} d e^{7} + 9 \, a^{5} b^{3} e^{8}\right)} x^{3} + 140 \, {\left(b^{8} d^{6} e^{2} + 3 \, a b^{7} d^{5} e^{3} + 15 \, a^{2} b^{6} d^{4} e^{4} - 110 \, a^{3} b^{5} d^{3} e^{5} + 195 \, a^{4} b^{4} d^{2} e^{6} - 141 \, a^{5} b^{3} d e^{7} + 37 \, a^{6} b^{2} e^{8}\right)} x^{2} + 10 \, {\left(3 \, b^{8} d^{7} e + 7 \, a b^{7} d^{6} e^{2} + 21 \, a^{2} b^{6} d^{5} e^{3} + 105 \, a^{3} b^{5} d^{4} e^{4} - 875 \, a^{4} b^{4} d^{3} e^{5} + 1617 \, a^{5} b^{3} d^{2} e^{6} - 1197 \, a^{6} b^{2} d e^{7} + 319 \, a^{7} b e^{8}\right)} x}{15 \, {\left(b^{14} x^{5} + 5 \, a b^{13} x^{4} + 10 \, a^{2} b^{12} x^{3} + 10 \, a^{3} b^{11} x^{2} + 5 \, a^{4} b^{10} x + a^{5} b^{9}\right)}} + \frac{b^{2} e^{8} x^{3} + 3 \, {\left(4 \, b^{2} d e^{7} - 3 \, a b e^{8}\right)} x^{2} + 3 \, {\left(28 \, b^{2} d^{2} e^{6} - 48 \, a b d e^{7} + 21 \, a^{2} e^{8}\right)} x}{3 \, b^{8}} + \frac{56 \, {\left(b^{3} d^{3} e^{5} - 3 \, a b^{2} d^{2} e^{6} + 3 \, a^{2} b d e^{7} - a^{3} e^{8}\right)} \log\left(b x + a\right)}{b^{9}}"," ",0,"-1/15*(3*b^8*d^8 + 6*a*b^7*d^7*e + 14*a^2*b^6*d^6*e^2 + 42*a^3*b^5*d^5*e^3 + 210*a^4*b^4*d^4*e^4 - 1918*a^5*b^3*d^3*e^5 + 3654*a^6*b^2*d^2*e^6 - 2754*a^7*b*d*e^7 + 743*a^8*e^8 + 1050*(b^8*d^4*e^4 - 4*a*b^7*d^3*e^5 + 6*a^2*b^6*d^2*e^6 - 4*a^3*b^5*d*e^7 + a^4*b^4*e^8)*x^4 + 420*(b^8*d^5*e^3 + 5*a*b^7*d^4*e^4 - 30*a^2*b^6*d^3*e^5 + 50*a^3*b^5*d^2*e^6 - 35*a^4*b^4*d*e^7 + 9*a^5*b^3*e^8)*x^3 + 140*(b^8*d^6*e^2 + 3*a*b^7*d^5*e^3 + 15*a^2*b^6*d^4*e^4 - 110*a^3*b^5*d^3*e^5 + 195*a^4*b^4*d^2*e^6 - 141*a^5*b^3*d*e^7 + 37*a^6*b^2*e^8)*x^2 + 10*(3*b^8*d^7*e + 7*a*b^7*d^6*e^2 + 21*a^2*b^6*d^5*e^3 + 105*a^3*b^5*d^4*e^4 - 875*a^4*b^4*d^3*e^5 + 1617*a^5*b^3*d^2*e^6 - 1197*a^6*b^2*d*e^7 + 319*a^7*b*e^8)*x)/(b^14*x^5 + 5*a*b^13*x^4 + 10*a^2*b^12*x^3 + 10*a^3*b^11*x^2 + 5*a^4*b^10*x + a^5*b^9) + 1/3*(b^2*e^8*x^3 + 3*(4*b^2*d*e^7 - 3*a*b*e^8)*x^2 + 3*(28*b^2*d^2*e^6 - 48*a*b*d*e^7 + 21*a^2*e^8)*x)/b^8 + 56*(b^3*d^3*e^5 - 3*a*b^2*d^2*e^6 + 3*a^2*b*d*e^7 - a^3*e^8)*log(b*x + a)/b^9","B",0
1526,1,504,0,1.789034," ","integrate((e*x+d)^7/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{4 \, b^{7} d^{7} + 7 \, a b^{6} d^{6} e + 14 \, a^{2} b^{5} d^{5} e^{2} + 35 \, a^{3} b^{4} d^{4} e^{3} + 140 \, a^{4} b^{3} d^{3} e^{4} - 959 \, a^{5} b^{2} d^{2} e^{5} + 1218 \, a^{6} b d e^{6} - 459 \, a^{7} e^{7} + 700 \, {\left(b^{7} d^{3} e^{4} - 3 \, a b^{6} d^{2} e^{5} + 3 \, a^{2} b^{5} d e^{6} - a^{3} b^{4} e^{7}\right)} x^{4} + 350 \, {\left(b^{7} d^{4} e^{3} + 4 \, a b^{6} d^{3} e^{4} - 18 \, a^{2} b^{5} d^{2} e^{5} + 20 \, a^{3} b^{4} d e^{6} - 7 \, a^{4} b^{3} e^{7}\right)} x^{3} + 70 \, {\left(2 \, b^{7} d^{5} e^{2} + 5 \, a b^{6} d^{4} e^{3} + 20 \, a^{2} b^{5} d^{3} e^{4} - 110 \, a^{3} b^{4} d^{2} e^{5} + 130 \, a^{4} b^{3} d e^{6} - 47 \, a^{5} b^{2} e^{7}\right)} x^{2} + 35 \, {\left(b^{7} d^{6} e + 2 \, a b^{6} d^{5} e^{2} + 5 \, a^{2} b^{5} d^{4} e^{3} + 20 \, a^{3} b^{4} d^{3} e^{4} - 125 \, a^{4} b^{3} d^{2} e^{5} + 154 \, a^{5} b^{2} d e^{6} - 57 \, a^{6} b e^{7}\right)} x}{20 \, {\left(b^{13} x^{5} + 5 \, a b^{12} x^{4} + 10 \, a^{2} b^{11} x^{3} + 10 \, a^{3} b^{10} x^{2} + 5 \, a^{4} b^{9} x + a^{5} b^{8}\right)}} + \frac{b e^{7} x^{2} + 2 \, {\left(7 \, b d e^{6} - 6 \, a e^{7}\right)} x}{2 \, b^{7}} + \frac{21 \, {\left(b^{2} d^{2} e^{5} - 2 \, a b d e^{6} + a^{2} e^{7}\right)} \log\left(b x + a\right)}{b^{8}}"," ",0,"-1/20*(4*b^7*d^7 + 7*a*b^6*d^6*e + 14*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 + 140*a^4*b^3*d^3*e^4 - 959*a^5*b^2*d^2*e^5 + 1218*a^6*b*d*e^6 - 459*a^7*e^7 + 700*(b^7*d^3*e^4 - 3*a*b^6*d^2*e^5 + 3*a^2*b^5*d*e^6 - a^3*b^4*e^7)*x^4 + 350*(b^7*d^4*e^3 + 4*a*b^6*d^3*e^4 - 18*a^2*b^5*d^2*e^5 + 20*a^3*b^4*d*e^6 - 7*a^4*b^3*e^7)*x^3 + 70*(2*b^7*d^5*e^2 + 5*a*b^6*d^4*e^3 + 20*a^2*b^5*d^3*e^4 - 110*a^3*b^4*d^2*e^5 + 130*a^4*b^3*d*e^6 - 47*a^5*b^2*e^7)*x^2 + 35*(b^7*d^6*e + 2*a*b^6*d^5*e^2 + 5*a^2*b^5*d^4*e^3 + 20*a^3*b^4*d^3*e^4 - 125*a^4*b^3*d^2*e^5 + 154*a^5*b^2*d*e^6 - 57*a^6*b*e^7)*x)/(b^13*x^5 + 5*a*b^12*x^4 + 10*a^2*b^11*x^3 + 10*a^3*b^10*x^2 + 5*a^4*b^9*x + a^5*b^8) + 1/2*(b*e^7*x^2 + 2*(7*b*d*e^6 - 6*a*e^7)*x)/b^7 + 21*(b^2*d^2*e^5 - 2*a*b*d*e^6 + a^2*e^7)*log(b*x + a)/b^8","B",0
1527,1,397,0,1.632111," ","integrate((e*x+d)^6/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{e^{6} x}{b^{6}} - \frac{2 \, b^{6} d^{6} + 3 \, a b^{5} d^{5} e + 5 \, a^{2} b^{4} d^{4} e^{2} + 10 \, a^{3} b^{3} d^{3} e^{3} + 30 \, a^{4} b^{2} d^{2} e^{4} - 137 \, a^{5} b d e^{5} + 87 \, a^{6} e^{6} + 150 \, {\left(b^{6} d^{2} e^{4} - 2 \, a b^{5} d e^{5} + a^{2} b^{4} e^{6}\right)} x^{4} + 100 \, {\left(b^{6} d^{3} e^{3} + 3 \, a b^{5} d^{2} e^{4} - 9 \, a^{2} b^{4} d e^{5} + 5 \, a^{3} b^{3} e^{6}\right)} x^{3} + 50 \, {\left(b^{6} d^{4} e^{2} + 2 \, a b^{5} d^{3} e^{3} + 6 \, a^{2} b^{4} d^{2} e^{4} - 22 \, a^{3} b^{3} d e^{5} + 13 \, a^{4} b^{2} e^{6}\right)} x^{2} + 5 \, {\left(3 \, b^{6} d^{5} e + 5 \, a b^{5} d^{4} e^{2} + 10 \, a^{2} b^{4} d^{3} e^{3} + 30 \, a^{3} b^{3} d^{2} e^{4} - 125 \, a^{4} b^{2} d e^{5} + 77 \, a^{5} b e^{6}\right)} x}{10 \, {\left(b^{12} x^{5} + 5 \, a b^{11} x^{4} + 10 \, a^{2} b^{10} x^{3} + 10 \, a^{3} b^{9} x^{2} + 5 \, a^{4} b^{8} x + a^{5} b^{7}\right)}} + \frac{6 \, {\left(b d e^{5} - a e^{6}\right)} \log\left(b x + a\right)}{b^{7}}"," ",0,"e^6*x/b^6 - 1/10*(2*b^6*d^6 + 3*a*b^5*d^5*e + 5*a^2*b^4*d^4*e^2 + 10*a^3*b^3*d^3*e^3 + 30*a^4*b^2*d^2*e^4 - 137*a^5*b*d*e^5 + 87*a^6*e^6 + 150*(b^6*d^2*e^4 - 2*a*b^5*d*e^5 + a^2*b^4*e^6)*x^4 + 100*(b^6*d^3*e^3 + 3*a*b^5*d^2*e^4 - 9*a^2*b^4*d*e^5 + 5*a^3*b^3*e^6)*x^3 + 50*(b^6*d^4*e^2 + 2*a*b^5*d^3*e^3 + 6*a^2*b^4*d^2*e^4 - 22*a^3*b^3*d*e^5 + 13*a^4*b^2*e^6)*x^2 + 5*(3*b^6*d^5*e + 5*a*b^5*d^4*e^2 + 10*a^2*b^4*d^3*e^3 + 30*a^3*b^3*d^2*e^4 - 125*a^4*b^2*d*e^5 + 77*a^5*b*e^6)*x)/(b^12*x^5 + 5*a*b^11*x^4 + 10*a^2*b^10*x^3 + 10*a^3*b^9*x^2 + 5*a^4*b^8*x + a^5*b^7) + 6*(b*d*e^5 - a*e^6)*log(b*x + a)/b^7","B",0
1528,1,310,0,1.578807," ","integrate((e*x+d)^5/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{12 \, b^{5} d^{5} + 15 \, a b^{4} d^{4} e + 20 \, a^{2} b^{3} d^{3} e^{2} + 30 \, a^{3} b^{2} d^{2} e^{3} + 60 \, a^{4} b d e^{4} - 137 \, a^{5} e^{5} + 300 \, {\left(b^{5} d e^{4} - a b^{4} e^{5}\right)} x^{4} + 300 \, {\left(b^{5} d^{2} e^{3} + 2 \, a b^{4} d e^{4} - 3 \, a^{2} b^{3} e^{5}\right)} x^{3} + 100 \, {\left(2 \, b^{5} d^{3} e^{2} + 3 \, a b^{4} d^{2} e^{3} + 6 \, a^{2} b^{3} d e^{4} - 11 \, a^{3} b^{2} e^{5}\right)} x^{2} + 25 \, {\left(3 \, b^{5} d^{4} e + 4 \, a b^{4} d^{3} e^{2} + 6 \, a^{2} b^{3} d^{2} e^{3} + 12 \, a^{3} b^{2} d e^{4} - 25 \, a^{4} b e^{5}\right)} x}{60 \, {\left(b^{11} x^{5} + 5 \, a b^{10} x^{4} + 10 \, a^{2} b^{9} x^{3} + 10 \, a^{3} b^{8} x^{2} + 5 \, a^{4} b^{7} x + a^{5} b^{6}\right)}} + \frac{e^{5} \log\left(b x + a\right)}{b^{6}}"," ",0,"-1/60*(12*b^5*d^5 + 15*a*b^4*d^4*e + 20*a^2*b^3*d^3*e^2 + 30*a^3*b^2*d^2*e^3 + 60*a^4*b*d*e^4 - 137*a^5*e^5 + 300*(b^5*d*e^4 - a*b^4*e^5)*x^4 + 300*(b^5*d^2*e^3 + 2*a*b^4*d*e^4 - 3*a^2*b^3*e^5)*x^3 + 100*(2*b^5*d^3*e^2 + 3*a*b^4*d^2*e^3 + 6*a^2*b^3*d*e^4 - 11*a^3*b^2*e^5)*x^2 + 25*(3*b^5*d^4*e + 4*a*b^4*d^3*e^2 + 6*a^2*b^3*d^2*e^3 + 12*a^3*b^2*d*e^4 - 25*a^4*b*e^5)*x)/(b^11*x^5 + 5*a*b^10*x^4 + 10*a^2*b^9*x^3 + 10*a^3*b^8*x^2 + 5*a^4*b^7*x + a^5*b^6) + e^5*log(b*x + a)/b^6","B",0
1529,1,215,0,1.494559," ","integrate((e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{5 \, b^{4} e^{4} x^{4} + b^{4} d^{4} + a b^{3} d^{3} e + a^{2} b^{2} d^{2} e^{2} + a^{3} b d e^{3} + a^{4} e^{4} + 10 \, {\left(b^{4} d e^{3} + a b^{3} e^{4}\right)} x^{3} + 10 \, {\left(b^{4} d^{2} e^{2} + a b^{3} d e^{3} + a^{2} b^{2} e^{4}\right)} x^{2} + 5 \, {\left(b^{4} d^{3} e + a b^{3} d^{2} e^{2} + a^{2} b^{2} d e^{3} + a^{3} b e^{4}\right)} x}{5 \, {\left(b^{10} x^{5} + 5 \, a b^{9} x^{4} + 10 \, a^{2} b^{8} x^{3} + 10 \, a^{3} b^{7} x^{2} + 5 \, a^{4} b^{6} x + a^{5} b^{5}\right)}}"," ",0,"-1/5*(5*b^4*e^4*x^4 + b^4*d^4 + a*b^3*d^3*e + a^2*b^2*d^2*e^2 + a^3*b*d*e^3 + a^4*e^4 + 10*(b^4*d*e^3 + a*b^3*e^4)*x^3 + 10*(b^4*d^2*e^2 + a*b^3*d*e^3 + a^2*b^2*e^4)*x^2 + 5*(b^4*d^3*e + a*b^3*d^2*e^2 + a^2*b^2*d*e^3 + a^3*b*e^4)*x)/(b^10*x^5 + 5*a*b^9*x^4 + 10*a^2*b^8*x^3 + 10*a^3*b^7*x^2 + 5*a^4*b^6*x + a^5*b^5)","B",0
1530,1,160,0,1.418851," ","integrate((e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{10 \, b^{3} e^{3} x^{3} + 4 \, b^{3} d^{3} + 3 \, a b^{2} d^{2} e + 2 \, a^{2} b d e^{2} + a^{3} e^{3} + 10 \, {\left(2 \, b^{3} d e^{2} + a b^{2} e^{3}\right)} x^{2} + 5 \, {\left(3 \, b^{3} d^{2} e + 2 \, a b^{2} d e^{2} + a^{2} b e^{3}\right)} x}{20 \, {\left(b^{9} x^{5} + 5 \, a b^{8} x^{4} + 10 \, a^{2} b^{7} x^{3} + 10 \, a^{3} b^{6} x^{2} + 5 \, a^{4} b^{5} x + a^{5} b^{4}\right)}}"," ",0,"-1/20*(10*b^3*e^3*x^3 + 4*b^3*d^3 + 3*a*b^2*d^2*e + 2*a^2*b*d*e^2 + a^3*e^3 + 10*(2*b^3*d*e^2 + a*b^2*e^3)*x^2 + 5*(3*b^3*d^2*e + 2*a*b^2*d*e^2 + a^2*b*e^3)*x)/(b^9*x^5 + 5*a*b^8*x^4 + 10*a^2*b^7*x^3 + 10*a^3*b^6*x^2 + 5*a^4*b^5*x + a^5*b^4)","B",0
1531,1,109,0,1.413061," ","integrate((e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{10 \, b^{2} e^{2} x^{2} + 6 \, b^{2} d^{2} + 3 \, a b d e + a^{2} e^{2} + 5 \, {\left(3 \, b^{2} d e + a b e^{2}\right)} x}{30 \, {\left(b^{8} x^{5} + 5 \, a b^{7} x^{4} + 10 \, a^{2} b^{6} x^{3} + 10 \, a^{3} b^{5} x^{2} + 5 \, a^{4} b^{4} x + a^{5} b^{3}\right)}}"," ",0,"-1/30*(10*b^2*e^2*x^2 + 6*b^2*d^2 + 3*a*b*d*e + a^2*e^2 + 5*(3*b^2*d*e + a*b*e^2)*x)/(b^8*x^5 + 5*a*b^7*x^4 + 10*a^2*b^6*x^3 + 10*a^3*b^5*x^2 + 5*a^4*b^4*x + a^5*b^3)","A",0
1532,1,72,0,1.420087," ","integrate((e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{5 \, b e x + 4 \, b d + a e}{20 \, {\left(b^{7} x^{5} + 5 \, a b^{6} x^{4} + 10 \, a^{2} b^{5} x^{3} + 10 \, a^{3} b^{4} x^{2} + 5 \, a^{4} b^{3} x + a^{5} b^{2}\right)}}"," ",0,"-1/20*(5*b*e*x + 4*b*d + a*e)/(b^7*x^5 + 5*a*b^6*x^4 + 10*a^2*b^5*x^3 + 10*a^3*b^4*x^2 + 5*a^4*b^3*x + a^5*b^2)","B",0
1533,1,57,0,1.325634," ","integrate(1/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{1}{5 \, {\left(b^{6} x^{5} + 5 \, a b^{5} x^{4} + 10 \, a^{2} b^{4} x^{3} + 10 \, a^{3} b^{3} x^{2} + 5 \, a^{4} b^{2} x + a^{5} b\right)}}"," ",0,"-1/5/(b^6*x^5 + 5*a*b^5*x^4 + 10*a^2*b^4*x^3 + 10*a^3*b^3*x^2 + 5*a^4*b^2*x + a^5*b)","B",0
1534,1,805,0,2.018952," ","integrate(1/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{e^{5} \log\left(b x + a\right)}{b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}} + \frac{e^{5} \log\left(e x + d\right)}{b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}} - \frac{60 \, b^{4} e^{4} x^{4} + 12 \, b^{4} d^{4} - 63 \, a b^{3} d^{3} e + 137 \, a^{2} b^{2} d^{2} e^{2} - 163 \, a^{3} b d e^{3} + 137 \, a^{4} e^{4} - 30 \, {\left(b^{4} d e^{3} - 9 \, a b^{3} e^{4}\right)} x^{3} + 10 \, {\left(2 \, b^{4} d^{2} e^{2} - 13 \, a b^{3} d e^{3} + 47 \, a^{2} b^{2} e^{4}\right)} x^{2} - 5 \, {\left(3 \, b^{4} d^{3} e - 17 \, a b^{3} d^{2} e^{2} + 43 \, a^{2} b^{2} d e^{3} - 77 \, a^{3} b e^{4}\right)} x}{60 \, {\left(a^{5} b^{5} d^{5} - 5 \, a^{6} b^{4} d^{4} e + 10 \, a^{7} b^{3} d^{3} e^{2} - 10 \, a^{8} b^{2} d^{2} e^{3} + 5 \, a^{9} b d e^{4} - a^{10} e^{5} + {\left(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}\right)} x^{5} + 5 \, {\left(a b^{9} d^{5} - 5 \, a^{2} b^{8} d^{4} e + 10 \, a^{3} b^{7} d^{3} e^{2} - 10 \, a^{4} b^{6} d^{2} e^{3} + 5 \, a^{5} b^{5} d e^{4} - a^{6} b^{4} e^{5}\right)} x^{4} + 10 \, {\left(a^{2} b^{8} d^{5} - 5 \, a^{3} b^{7} d^{4} e + 10 \, a^{4} b^{6} d^{3} e^{2} - 10 \, a^{5} b^{5} d^{2} e^{3} + 5 \, a^{6} b^{4} d e^{4} - a^{7} b^{3} e^{5}\right)} x^{3} + 10 \, {\left(a^{3} b^{7} d^{5} - 5 \, a^{4} b^{6} d^{4} e + 10 \, a^{5} b^{5} d^{3} e^{2} - 10 \, a^{6} b^{4} d^{2} e^{3} + 5 \, a^{7} b^{3} d e^{4} - a^{8} b^{2} e^{5}\right)} x^{2} + 5 \, {\left(a^{4} b^{6} d^{5} - 5 \, a^{5} b^{5} d^{4} e + 10 \, a^{6} b^{4} d^{3} e^{2} - 10 \, a^{7} b^{3} d^{2} e^{3} + 5 \, a^{8} b^{2} d e^{4} - a^{9} b e^{5}\right)} x\right)}}"," ",0,"-e^5*log(b*x + a)/(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6) + e^5*log(e*x + d)/(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6) - 1/60*(60*b^4*e^4*x^4 + 12*b^4*d^4 - 63*a*b^3*d^3*e + 137*a^2*b^2*d^2*e^2 - 163*a^3*b*d*e^3 + 137*a^4*e^4 - 30*(b^4*d*e^3 - 9*a*b^3*e^4)*x^3 + 10*(2*b^4*d^2*e^2 - 13*a*b^3*d*e^3 + 47*a^2*b^2*e^4)*x^2 - 5*(3*b^4*d^3*e - 17*a*b^3*d^2*e^2 + 43*a^2*b^2*d*e^3 - 77*a^3*b*e^4)*x)/(a^5*b^5*d^5 - 5*a^6*b^4*d^4*e + 10*a^7*b^3*d^3*e^2 - 10*a^8*b^2*d^2*e^3 + 5*a^9*b*d*e^4 - a^10*e^5 + (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)*x^5 + 5*(a*b^9*d^5 - 5*a^2*b^8*d^4*e + 10*a^3*b^7*d^3*e^2 - 10*a^4*b^6*d^2*e^3 + 5*a^5*b^5*d*e^4 - a^6*b^4*e^5)*x^4 + 10*(a^2*b^8*d^5 - 5*a^3*b^7*d^4*e + 10*a^4*b^6*d^3*e^2 - 10*a^5*b^5*d^2*e^3 + 5*a^6*b^4*d*e^4 - a^7*b^3*e^5)*x^3 + 10*(a^3*b^7*d^5 - 5*a^4*b^6*d^4*e + 10*a^5*b^5*d^3*e^2 - 10*a^6*b^4*d^2*e^3 + 5*a^7*b^3*d*e^4 - a^8*b^2*e^5)*x^2 + 5*(a^4*b^6*d^5 - 5*a^5*b^5*d^4*e + 10*a^6*b^4*d^3*e^2 - 10*a^7*b^3*d^2*e^3 + 5*a^8*b^2*d*e^4 - a^9*b*e^5)*x)","B",0
1535,1,1154,0,2.562318," ","integrate(1/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{6 \, b e^{5} \log\left(b x + a\right)}{b^{7} d^{7} - 7 \, a b^{6} d^{6} e + 21 \, a^{2} b^{5} d^{5} e^{2} - 35 \, a^{3} b^{4} d^{4} e^{3} + 35 \, a^{4} b^{3} d^{3} e^{4} - 21 \, a^{5} b^{2} d^{2} e^{5} + 7 \, a^{6} b d e^{6} - a^{7} e^{7}} + \frac{6 \, b e^{5} \log\left(e x + d\right)}{b^{7} d^{7} - 7 \, a b^{6} d^{6} e + 21 \, a^{2} b^{5} d^{5} e^{2} - 35 \, a^{3} b^{4} d^{4} e^{3} + 35 \, a^{4} b^{3} d^{3} e^{4} - 21 \, a^{5} b^{2} d^{2} e^{5} + 7 \, a^{6} b d e^{6} - a^{7} e^{7}} - \frac{60 \, b^{5} e^{5} x^{5} + 2 \, b^{5} d^{5} - 13 \, a b^{4} d^{4} e + 37 \, a^{2} b^{3} d^{3} e^{2} - 63 \, a^{3} b^{2} d^{2} e^{3} + 87 \, a^{4} b d e^{4} + 10 \, a^{5} e^{5} + 30 \, {\left(b^{5} d e^{4} + 9 \, a b^{4} e^{5}\right)} x^{4} - 10 \, {\left(b^{5} d^{2} e^{3} - 14 \, a b^{4} d e^{4} - 47 \, a^{2} b^{3} e^{5}\right)} x^{3} + 5 \, {\left(b^{5} d^{3} e^{2} - 9 \, a b^{4} d^{2} e^{3} + 51 \, a^{2} b^{3} d e^{4} + 77 \, a^{3} b^{2} e^{5}\right)} x^{2} - {\left(3 \, b^{5} d^{4} e - 22 \, a b^{4} d^{3} e^{2} + 78 \, a^{2} b^{3} d^{2} e^{3} - 222 \, a^{3} b^{2} d e^{4} - 137 \, a^{4} b e^{5}\right)} x}{10 \, {\left(a^{5} b^{6} d^{7} - 6 \, a^{6} b^{5} d^{6} e + 15 \, a^{7} b^{4} d^{5} e^{2} - 20 \, a^{8} b^{3} d^{4} e^{3} + 15 \, a^{9} b^{2} d^{3} e^{4} - 6 \, a^{10} b d^{2} e^{5} + a^{11} d e^{6} + {\left(b^{11} d^{6} e - 6 \, a b^{10} d^{5} e^{2} + 15 \, a^{2} b^{9} d^{4} e^{3} - 20 \, a^{3} b^{8} d^{3} e^{4} + 15 \, a^{4} b^{7} d^{2} e^{5} - 6 \, a^{5} b^{6} d e^{6} + a^{6} b^{5} e^{7}\right)} x^{6} + {\left(b^{11} d^{7} - a b^{10} d^{6} e - 15 \, a^{2} b^{9} d^{5} e^{2} + 55 \, a^{3} b^{8} d^{4} e^{3} - 85 \, a^{4} b^{7} d^{3} e^{4} + 69 \, a^{5} b^{6} d^{2} e^{5} - 29 \, a^{6} b^{5} d e^{6} + 5 \, a^{7} b^{4} e^{7}\right)} x^{5} + 5 \, {\left(a b^{10} d^{7} - 4 \, a^{2} b^{9} d^{6} e + 3 \, a^{3} b^{8} d^{5} e^{2} + 10 \, a^{4} b^{7} d^{4} e^{3} - 25 \, a^{5} b^{6} d^{3} e^{4} + 24 \, a^{6} b^{5} d^{2} e^{5} - 11 \, a^{7} b^{4} d e^{6} + 2 \, a^{8} b^{3} e^{7}\right)} x^{4} + 10 \, {\left(a^{2} b^{9} d^{7} - 5 \, a^{3} b^{8} d^{6} e + 9 \, a^{4} b^{7} d^{5} e^{2} - 5 \, a^{5} b^{6} d^{4} e^{3} - 5 \, a^{6} b^{5} d^{3} e^{4} + 9 \, a^{7} b^{4} d^{2} e^{5} - 5 \, a^{8} b^{3} d e^{6} + a^{9} b^{2} e^{7}\right)} x^{3} + 5 \, {\left(2 \, a^{3} b^{8} d^{7} - 11 \, a^{4} b^{7} d^{6} e + 24 \, a^{5} b^{6} d^{5} e^{2} - 25 \, a^{6} b^{5} d^{4} e^{3} + 10 \, a^{7} b^{4} d^{3} e^{4} + 3 \, a^{8} b^{3} d^{2} e^{5} - 4 \, a^{9} b^{2} d e^{6} + a^{10} b e^{7}\right)} x^{2} + {\left(5 \, a^{4} b^{7} d^{7} - 29 \, a^{5} b^{6} d^{6} e + 69 \, a^{6} b^{5} d^{5} e^{2} - 85 \, a^{7} b^{4} d^{4} e^{3} + 55 \, a^{8} b^{3} d^{3} e^{4} - 15 \, a^{9} b^{2} d^{2} e^{5} - a^{10} b d e^{6} + a^{11} e^{7}\right)} x\right)}}"," ",0,"-6*b*e^5*log(b*x + a)/(b^7*d^7 - 7*a*b^6*d^6*e + 21*a^2*b^5*d^5*e^2 - 35*a^3*b^4*d^4*e^3 + 35*a^4*b^3*d^3*e^4 - 21*a^5*b^2*d^2*e^5 + 7*a^6*b*d*e^6 - a^7*e^7) + 6*b*e^5*log(e*x + d)/(b^7*d^7 - 7*a*b^6*d^6*e + 21*a^2*b^5*d^5*e^2 - 35*a^3*b^4*d^4*e^3 + 35*a^4*b^3*d^3*e^4 - 21*a^5*b^2*d^2*e^5 + 7*a^6*b*d*e^6 - a^7*e^7) - 1/10*(60*b^5*e^5*x^5 + 2*b^5*d^5 - 13*a*b^4*d^4*e + 37*a^2*b^3*d^3*e^2 - 63*a^3*b^2*d^2*e^3 + 87*a^4*b*d*e^4 + 10*a^5*e^5 + 30*(b^5*d*e^4 + 9*a*b^4*e^5)*x^4 - 10*(b^5*d^2*e^3 - 14*a*b^4*d*e^4 - 47*a^2*b^3*e^5)*x^3 + 5*(b^5*d^3*e^2 - 9*a*b^4*d^2*e^3 + 51*a^2*b^3*d*e^4 + 77*a^3*b^2*e^5)*x^2 - (3*b^5*d^4*e - 22*a*b^4*d^3*e^2 + 78*a^2*b^3*d^2*e^3 - 222*a^3*b^2*d*e^4 - 137*a^4*b*e^5)*x)/(a^5*b^6*d^7 - 6*a^6*b^5*d^6*e + 15*a^7*b^4*d^5*e^2 - 20*a^8*b^3*d^4*e^3 + 15*a^9*b^2*d^3*e^4 - 6*a^10*b*d^2*e^5 + a^11*d*e^6 + (b^11*d^6*e - 6*a*b^10*d^5*e^2 + 15*a^2*b^9*d^4*e^3 - 20*a^3*b^8*d^3*e^4 + 15*a^4*b^7*d^2*e^5 - 6*a^5*b^6*d*e^6 + a^6*b^5*e^7)*x^6 + (b^11*d^7 - a*b^10*d^6*e - 15*a^2*b^9*d^5*e^2 + 55*a^3*b^8*d^4*e^3 - 85*a^4*b^7*d^3*e^4 + 69*a^5*b^6*d^2*e^5 - 29*a^6*b^5*d*e^6 + 5*a^7*b^4*e^7)*x^5 + 5*(a*b^10*d^7 - 4*a^2*b^9*d^6*e + 3*a^3*b^8*d^5*e^2 + 10*a^4*b^7*d^4*e^3 - 25*a^5*b^6*d^3*e^4 + 24*a^6*b^5*d^2*e^5 - 11*a^7*b^4*d*e^6 + 2*a^8*b^3*e^7)*x^4 + 10*(a^2*b^9*d^7 - 5*a^3*b^8*d^6*e + 9*a^4*b^7*d^5*e^2 - 5*a^5*b^6*d^4*e^3 - 5*a^6*b^5*d^3*e^4 + 9*a^7*b^4*d^2*e^5 - 5*a^8*b^3*d*e^6 + a^9*b^2*e^7)*x^3 + 5*(2*a^3*b^8*d^7 - 11*a^4*b^7*d^6*e + 24*a^5*b^6*d^5*e^2 - 25*a^6*b^5*d^4*e^3 + 10*a^7*b^4*d^3*e^4 + 3*a^8*b^3*d^2*e^5 - 4*a^9*b^2*d*e^6 + a^10*b*e^7)*x^2 + (5*a^4*b^7*d^7 - 29*a^5*b^6*d^6*e + 69*a^6*b^5*d^5*e^2 - 85*a^7*b^4*d^4*e^3 + 55*a^8*b^3*d^3*e^4 - 15*a^9*b^2*d^2*e^5 - a^10*b*d*e^6 + a^11*e^7)*x)","B",0
1536,1,1558,0,3.211653," ","integrate(1/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{21 \, b^{2} e^{5} \log\left(b x + a\right)}{b^{8} d^{8} - 8 \, a b^{7} d^{7} e + 28 \, a^{2} b^{6} d^{6} e^{2} - 56 \, a^{3} b^{5} d^{5} e^{3} + 70 \, a^{4} b^{4} d^{4} e^{4} - 56 \, a^{5} b^{3} d^{3} e^{5} + 28 \, a^{6} b^{2} d^{2} e^{6} - 8 \, a^{7} b d e^{7} + a^{8} e^{8}} + \frac{21 \, b^{2} e^{5} \log\left(e x + d\right)}{b^{8} d^{8} - 8 \, a b^{7} d^{7} e + 28 \, a^{2} b^{6} d^{6} e^{2} - 56 \, a^{3} b^{5} d^{5} e^{3} + 70 \, a^{4} b^{4} d^{4} e^{4} - 56 \, a^{5} b^{3} d^{3} e^{5} + 28 \, a^{6} b^{2} d^{2} e^{6} - 8 \, a^{7} b d e^{7} + a^{8} e^{8}} - \frac{420 \, b^{6} e^{6} x^{6} + 4 \, b^{6} d^{6} - 31 \, a b^{5} d^{5} e + 109 \, a^{2} b^{4} d^{4} e^{2} - 241 \, a^{3} b^{3} d^{3} e^{3} + 459 \, a^{4} b^{2} d^{2} e^{4} + 130 \, a^{5} b d e^{5} - 10 \, a^{6} e^{6} + 630 \, {\left(b^{6} d e^{5} + 3 \, a b^{5} e^{6}\right)} x^{5} + 70 \, {\left(2 \, b^{6} d^{2} e^{4} + 41 \, a b^{5} d e^{5} + 47 \, a^{2} b^{4} e^{6}\right)} x^{4} - 35 \, {\left(b^{6} d^{3} e^{3} - 19 \, a b^{5} d^{2} e^{4} - 145 \, a^{2} b^{4} d e^{5} - 77 \, a^{3} b^{3} e^{6}\right)} x^{3} + 7 \, {\left(2 \, b^{6} d^{4} e^{2} - 23 \, a b^{5} d^{3} e^{3} + 177 \, a^{2} b^{4} d^{2} e^{4} + 607 \, a^{3} b^{3} d e^{5} + 137 \, a^{4} b^{2} e^{6}\right)} x^{2} - 7 \, {\left(b^{6} d^{5} e - 9 \, a b^{5} d^{4} e^{2} + 41 \, a^{2} b^{4} d^{3} e^{3} - 159 \, a^{3} b^{3} d^{2} e^{4} - 224 \, a^{4} b^{2} d e^{5} - 10 \, a^{5} b e^{6}\right)} x}{20 \, {\left(a^{5} b^{7} d^{9} - 7 \, a^{6} b^{6} d^{8} e + 21 \, a^{7} b^{5} d^{7} e^{2} - 35 \, a^{8} b^{4} d^{6} e^{3} + 35 \, a^{9} b^{3} d^{5} e^{4} - 21 \, a^{10} b^{2} d^{4} e^{5} + 7 \, a^{11} b d^{3} e^{6} - a^{12} d^{2} e^{7} + {\left(b^{12} d^{7} e^{2} - 7 \, a b^{11} d^{6} e^{3} + 21 \, a^{2} b^{10} d^{5} e^{4} - 35 \, a^{3} b^{9} d^{4} e^{5} + 35 \, a^{4} b^{8} d^{3} e^{6} - 21 \, a^{5} b^{7} d^{2} e^{7} + 7 \, a^{6} b^{6} d e^{8} - a^{7} b^{5} e^{9}\right)} x^{7} + {\left(2 \, b^{12} d^{8} e - 9 \, a b^{11} d^{7} e^{2} + 7 \, a^{2} b^{10} d^{6} e^{3} + 35 \, a^{3} b^{9} d^{5} e^{4} - 105 \, a^{4} b^{8} d^{4} e^{5} + 133 \, a^{5} b^{7} d^{3} e^{6} - 91 \, a^{6} b^{6} d^{2} e^{7} + 33 \, a^{7} b^{5} d e^{8} - 5 \, a^{8} b^{4} e^{9}\right)} x^{6} + {\left(b^{12} d^{9} + 3 \, a b^{11} d^{8} e - 39 \, a^{2} b^{10} d^{7} e^{2} + 105 \, a^{3} b^{9} d^{6} e^{3} - 105 \, a^{4} b^{8} d^{5} e^{4} - 21 \, a^{5} b^{7} d^{4} e^{5} + 147 \, a^{6} b^{6} d^{3} e^{6} - 141 \, a^{7} b^{5} d^{2} e^{7} + 60 \, a^{8} b^{4} d e^{8} - 10 \, a^{9} b^{3} e^{9}\right)} x^{5} + 5 \, {\left(a b^{11} d^{9} - 3 \, a^{2} b^{10} d^{8} e - 5 \, a^{3} b^{9} d^{7} e^{2} + 35 \, a^{4} b^{8} d^{6} e^{3} - 63 \, a^{5} b^{7} d^{5} e^{4} + 49 \, a^{6} b^{6} d^{4} e^{5} - 7 \, a^{7} b^{5} d^{3} e^{6} - 15 \, a^{8} b^{4} d^{2} e^{7} + 10 \, a^{9} b^{3} d e^{8} - 2 \, a^{10} b^{2} e^{9}\right)} x^{4} + 5 \, {\left(2 \, a^{2} b^{10} d^{9} - 10 \, a^{3} b^{9} d^{8} e + 15 \, a^{4} b^{8} d^{7} e^{2} + 7 \, a^{5} b^{7} d^{6} e^{3} - 49 \, a^{6} b^{6} d^{5} e^{4} + 63 \, a^{7} b^{5} d^{4} e^{5} - 35 \, a^{8} b^{4} d^{3} e^{6} + 5 \, a^{9} b^{3} d^{2} e^{7} + 3 \, a^{10} b^{2} d e^{8} - a^{11} b e^{9}\right)} x^{3} + {\left(10 \, a^{3} b^{9} d^{9} - 60 \, a^{4} b^{8} d^{8} e + 141 \, a^{5} b^{7} d^{7} e^{2} - 147 \, a^{6} b^{6} d^{6} e^{3} + 21 \, a^{7} b^{5} d^{5} e^{4} + 105 \, a^{8} b^{4} d^{4} e^{5} - 105 \, a^{9} b^{3} d^{3} e^{6} + 39 \, a^{10} b^{2} d^{2} e^{7} - 3 \, a^{11} b d e^{8} - a^{12} e^{9}\right)} x^{2} + {\left(5 \, a^{4} b^{8} d^{9} - 33 \, a^{5} b^{7} d^{8} e + 91 \, a^{6} b^{6} d^{7} e^{2} - 133 \, a^{7} b^{5} d^{6} e^{3} + 105 \, a^{8} b^{4} d^{5} e^{4} - 35 \, a^{9} b^{3} d^{4} e^{5} - 7 \, a^{10} b^{2} d^{3} e^{6} + 9 \, a^{11} b d^{2} e^{7} - 2 \, a^{12} d e^{8}\right)} x\right)}}"," ",0,"-21*b^2*e^5*log(b*x + a)/(b^8*d^8 - 8*a*b^7*d^7*e + 28*a^2*b^6*d^6*e^2 - 56*a^3*b^5*d^5*e^3 + 70*a^4*b^4*d^4*e^4 - 56*a^5*b^3*d^3*e^5 + 28*a^6*b^2*d^2*e^6 - 8*a^7*b*d*e^7 + a^8*e^8) + 21*b^2*e^5*log(e*x + d)/(b^8*d^8 - 8*a*b^7*d^7*e + 28*a^2*b^6*d^6*e^2 - 56*a^3*b^5*d^5*e^3 + 70*a^4*b^4*d^4*e^4 - 56*a^5*b^3*d^3*e^5 + 28*a^6*b^2*d^2*e^6 - 8*a^7*b*d*e^7 + a^8*e^8) - 1/20*(420*b^6*e^6*x^6 + 4*b^6*d^6 - 31*a*b^5*d^5*e + 109*a^2*b^4*d^4*e^2 - 241*a^3*b^3*d^3*e^3 + 459*a^4*b^2*d^2*e^4 + 130*a^5*b*d*e^5 - 10*a^6*e^6 + 630*(b^6*d*e^5 + 3*a*b^5*e^6)*x^5 + 70*(2*b^6*d^2*e^4 + 41*a*b^5*d*e^5 + 47*a^2*b^4*e^6)*x^4 - 35*(b^6*d^3*e^3 - 19*a*b^5*d^2*e^4 - 145*a^2*b^4*d*e^5 - 77*a^3*b^3*e^6)*x^3 + 7*(2*b^6*d^4*e^2 - 23*a*b^5*d^3*e^3 + 177*a^2*b^4*d^2*e^4 + 607*a^3*b^3*d*e^5 + 137*a^4*b^2*e^6)*x^2 - 7*(b^6*d^5*e - 9*a*b^5*d^4*e^2 + 41*a^2*b^4*d^3*e^3 - 159*a^3*b^3*d^2*e^4 - 224*a^4*b^2*d*e^5 - 10*a^5*b*e^6)*x)/(a^5*b^7*d^9 - 7*a^6*b^6*d^8*e + 21*a^7*b^5*d^7*e^2 - 35*a^8*b^4*d^6*e^3 + 35*a^9*b^3*d^5*e^4 - 21*a^10*b^2*d^4*e^5 + 7*a^11*b*d^3*e^6 - a^12*d^2*e^7 + (b^12*d^7*e^2 - 7*a*b^11*d^6*e^3 + 21*a^2*b^10*d^5*e^4 - 35*a^3*b^9*d^4*e^5 + 35*a^4*b^8*d^3*e^6 - 21*a^5*b^7*d^2*e^7 + 7*a^6*b^6*d*e^8 - a^7*b^5*e^9)*x^7 + (2*b^12*d^8*e - 9*a*b^11*d^7*e^2 + 7*a^2*b^10*d^6*e^3 + 35*a^3*b^9*d^5*e^4 - 105*a^4*b^8*d^4*e^5 + 133*a^5*b^7*d^3*e^6 - 91*a^6*b^6*d^2*e^7 + 33*a^7*b^5*d*e^8 - 5*a^8*b^4*e^9)*x^6 + (b^12*d^9 + 3*a*b^11*d^8*e - 39*a^2*b^10*d^7*e^2 + 105*a^3*b^9*d^6*e^3 - 105*a^4*b^8*d^5*e^4 - 21*a^5*b^7*d^4*e^5 + 147*a^6*b^6*d^3*e^6 - 141*a^7*b^5*d^2*e^7 + 60*a^8*b^4*d*e^8 - 10*a^9*b^3*e^9)*x^5 + 5*(a*b^11*d^9 - 3*a^2*b^10*d^8*e - 5*a^3*b^9*d^7*e^2 + 35*a^4*b^8*d^6*e^3 - 63*a^5*b^7*d^5*e^4 + 49*a^6*b^6*d^4*e^5 - 7*a^7*b^5*d^3*e^6 - 15*a^8*b^4*d^2*e^7 + 10*a^9*b^3*d*e^8 - 2*a^10*b^2*e^9)*x^4 + 5*(2*a^2*b^10*d^9 - 10*a^3*b^9*d^8*e + 15*a^4*b^8*d^7*e^2 + 7*a^5*b^7*d^6*e^3 - 49*a^6*b^6*d^5*e^4 + 63*a^7*b^5*d^4*e^5 - 35*a^8*b^4*d^3*e^6 + 5*a^9*b^3*d^2*e^7 + 3*a^10*b^2*d*e^8 - a^11*b*e^9)*x^3 + (10*a^3*b^9*d^9 - 60*a^4*b^8*d^8*e + 141*a^5*b^7*d^7*e^2 - 147*a^6*b^6*d^6*e^3 + 21*a^7*b^5*d^5*e^4 + 105*a^8*b^4*d^4*e^5 - 105*a^9*b^3*d^3*e^6 + 39*a^10*b^2*d^2*e^7 - 3*a^11*b*d*e^8 - a^12*e^9)*x^2 + (5*a^4*b^8*d^9 - 33*a^5*b^7*d^8*e + 91*a^6*b^6*d^7*e^2 - 133*a^7*b^5*d^6*e^3 + 105*a^8*b^4*d^5*e^4 - 35*a^9*b^3*d^4*e^5 - 7*a^10*b^2*d^3*e^6 + 9*a^11*b*d^2*e^7 - 2*a^12*d*e^8)*x)","B",0
1537,1,77,0,1.298390," ","integrate((e*x+d)*(4*x^2+12*x+9)^3,x, algorithm=""maxima"")","8 \, e x^{8} + \frac{64}{7} \, {\left(d + 9 \, e\right)} x^{7} + 24 \, {\left(4 \, d + 15 \, e\right)} x^{6} + 432 \, {\left(d + 2 \, e\right)} x^{5} + 135 \, {\left(8 \, d + 9 \, e\right)} x^{4} + 324 \, {\left(5 \, d + 3 \, e\right)} x^{3} + \frac{729}{2} \, {\left(4 \, d + e\right)} x^{2} + 729 \, d x"," ",0,"8*e*x^8 + 64/7*(d + 9*e)*x^7 + 24*(4*d + 15*e)*x^6 + 432*(d + 2*e)*x^5 + 135*(8*d + 9*e)*x^4 + 324*(5*d + 3*e)*x^3 + 729/2*(4*d + e)*x^2 + 729*d*x","B",0
1538,1,53,0,1.329786," ","integrate((e*x+d)*(4*x^2+12*x+9)^2,x, algorithm=""maxima"")","\frac{8}{3} \, e x^{6} + \frac{16}{5} \, {\left(d + 6 \, e\right)} x^{5} + 6 \, {\left(4 \, d + 9 \, e\right)} x^{4} + 72 \, {\left(d + e\right)} x^{3} + \frac{27}{2} \, {\left(8 \, d + 3 \, e\right)} x^{2} + 81 \, d x"," ",0,"8/3*e*x^6 + 16/5*(d + 6*e)*x^5 + 6*(4*d + 9*e)*x^4 + 72*(d + e)*x^3 + 27/2*(8*d + 3*e)*x^2 + 81*d*x","A",0
1539,1,32,0,1.225057," ","integrate((e*x+d)*(4*x^2+12*x+9),x, algorithm=""maxima"")","e x^{4} + \frac{4}{3} \, {\left(d + 3 \, e\right)} x^{3} + \frac{3}{2} \, {\left(4 \, d + 3 \, e\right)} x^{2} + 9 \, d x"," ",0,"e*x^4 + 4/3*(d + 3*e)*x^3 + 3/2*(4*d + 3*e)*x^2 + 9*d*x","A",0
1540,1,26,0,1.022523," ","integrate((e*x+d)/(4*x^2+12*x+9),x, algorithm=""maxima"")","\frac{1}{4} \, e \log\left(2 \, x + 3\right) - \frac{2 \, d - 3 \, e}{4 \, {\left(2 \, x + 3\right)}}"," ",0,"1/4*e*log(2*x + 3) - 1/4*(2*d - 3*e)/(2*x + 3)","A",0
1541,1,30,0,1.026440," ","integrate((e*x+d)/(4*x^2+12*x+9)^2,x, algorithm=""maxima"")","-\frac{6 \, e x + 4 \, d + 3 \, e}{24 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}}"," ",0,"-1/24*(6*e*x + 4*d + 3*e)/(8*x^3 + 36*x^2 + 54*x + 27)","A",0
1542,1,40,0,1.074188," ","integrate((e*x+d)/(4*x^2+12*x+9)^3,x, algorithm=""maxima"")","-\frac{10 \, e x + 8 \, d + 3 \, e}{80 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}}"," ",0,"-1/80*(10*e*x + 8*d + 3*e)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243)","A",0
1543,1,590,0,1.282758," ","integrate((e*x+d)^4*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} e^{4} x^{3}}{6 \, b^{2}} + \frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} d^{4} x - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d^{3} e x}{b} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d^{2} e^{2} x}{b^{2}} - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} d e^{3} x}{b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} e^{4} x}{2 \, b^{4}} + \frac{4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d e^{3} x^{2}}{5 \, b^{2}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a e^{4} x^{2}}{10 \, b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d^{4}}{2 \, b} - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d^{3} e}{b^{2}} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} d^{2} e^{2}}{b^{3}} - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} d e^{3}}{b^{4}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5} e^{4}}{2 \, b^{5}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d^{2} e^{2} x}{2 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d e^{3} x}{5 \, b^{3}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} e^{4} x}{5 \, b^{4}} + \frac{4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d^{3} e}{3 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{2} e^{2}}{2 \, b^{3}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d e^{3}}{5 \, b^{4}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} e^{4}}{15 \, b^{5}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*e^4*x^3/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*d^4*x - 2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d^3*e*x/b + 3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d^2*e^2*x/b^2 - 2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*d*e^3*x/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*e^4*x/b^4 + 4/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d*e^3*x^2/b^2 - 3/10*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*e^4*x^2/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d^4/b - 2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d^3*e/b^2 + 3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*d^2*e^2/b^3 - 2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*d*e^3/b^4 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5*e^4/b^5 + 3/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d^2*e^2*x/b^2 - 7/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d*e^3*x/b^3 + 2/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*e^4*x/b^4 + 4/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d^3*e/b^2 - 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^2*e^2/b^3 + 9/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d*e^3/b^4 - 7/15*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*e^4/b^5","B",0
1544,1,399,0,1.235717," ","integrate((e*x+d)^3*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} d^{3} x - \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d^{2} e x}{2 \, b} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d e^{2} x}{2 \, b^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} e^{3} x}{2 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} e^{3} x^{2}}{5 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d^{3}}{2 \, b} - \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d^{2} e}{2 \, b^{2}} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} d e^{2}}{2 \, b^{3}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} e^{3}}{2 \, b^{4}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d e^{2} x}{4 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a e^{3} x}{20 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d^{2} e}{b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d e^{2}}{4 \, b^{3}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} e^{3}}{20 \, b^{4}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*d^3*x - 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d^2*e*x/b + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d*e^2*x/b^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*e^3*x/b^3 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*e^3*x^2/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d^3/b - 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d^2*e/b^2 + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*d*e^2/b^3 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*e^3/b^4 + 3/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d*e^2*x/b^2 - 7/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*e^3*x/b^3 + (b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d^2*e/b^2 - 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d*e^2/b^3 + 9/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*e^3/b^4","B",0
1545,1,245,0,1.148095," ","integrate((e*x+d)^2*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} d^{2} x - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d e x}{b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} e^{2} x}{2 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d^{2}}{2 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d e}{b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} e^{2}}{2 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} e^{2} x}{4 \, b^{2}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d e}{3 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a e^{2}}{12 \, b^{3}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*d^2*x - sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d*e*x/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*e^2*x/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d^2/b - sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d*e/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*e^2/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*e^2*x/b^2 + 2/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d*e/b^2 - 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*e^2/b^3","B",0
1546,1,125,0,1.041251," ","integrate((e*x+d)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} d x - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a e x}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d}{2 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} e}{2 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} e}{3 \, b^{2}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*d*x - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*e*x/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d/b - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*e/b^2 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*e/b^2","B",0
1547,1,46,0,1.134895," ","integrate(((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} x + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a}{2 \, b}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*x + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a/b","B",0
1548,-2,0,0,0.000000," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1549,-2,0,0,0.000000," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1550,-2,0,0,0.000000," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1551,-2,0,0,0.000000," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1552,-2,0,0,0.000000," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1553,-2,0,0,0.000000," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1554,1,814,0,1.093960," ","integrate((e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} e^{5} x^{4}}{9 \, b^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d e^{4} x^{3}}{8 \, b^{2}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{5} x^{3}}{72 \, b^{3}} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d^{5} x - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{4} e x}{4 \, b} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{3} e^{2} x}{2 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} d^{2} e^{3} x}{2 \, b^{3}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} d e^{4} x}{4 \, b^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} e^{5} x}{4 \, b^{5}} + \frac{10 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{2} e^{3} x^{2}}{7 \, b^{2}} - \frac{55 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d e^{4} x^{2}}{56 \, b^{3}} + \frac{37 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{5} x^{2}}{168 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{5}}{4 \, b} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{4} e}{4 \, b^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} d^{3} e^{2}}{2 \, b^{3}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} d^{2} e^{3}}{2 \, b^{4}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} d e^{4}}{4 \, b^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6} e^{5}}{4 \, b^{6}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{3} e^{2} x}{3 \, b^{2}} - \frac{15 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{2} e^{3} x}{7 \, b^{3}} + \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d e^{4} x}{56 \, b^{4}} - \frac{121 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{5} x}{504 \, b^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{4} e}{b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{3} e^{2}}{3 \, b^{3}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{2} e^{3}}{7 \, b^{4}} - \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} d e^{4}}{56 \, b^{5}} + \frac{125 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} e^{5}}{504 \, b^{6}}"," ",0,"1/9*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^5*x^4/b^2 + 5/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d*e^4*x^3/b^2 - 13/72*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^5*x^3/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d^5*x - 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^4*e*x/b + 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^3*e^2*x/b^2 - 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*d^2*e^3*x/b^3 + 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*d*e^4*x/b^4 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*e^5*x/b^5 + 10/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^2*e^3*x^2/b^2 - 55/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d*e^4*x^2/b^3 + 37/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^5*x^2/b^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^5/b - 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^4*e/b^2 + 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*d^3*e^2/b^3 - 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*d^2*e^3/b^4 + 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*d*e^4/b^5 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6*e^5/b^6 + 5/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^3*e^2*x/b^2 - 15/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^2*e^3*x/b^3 + 65/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d*e^4*x/b^4 - 121/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^5*x/b^5 + (b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^4*e/b^2 - 7/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^3*e^2/b^3 + 17/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^2*e^3/b^4 - 69/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*d*e^4/b^5 + 125/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*e^5/b^6","B",0
1555,1,589,0,1.200445," ","integrate((e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} e^{4} x^{3}}{8 \, b^{2}} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d^{4} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{3} e x}{b} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{2} e^{2} x}{2 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} d e^{3} x}{b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} e^{4} x}{4 \, b^{4}} + \frac{4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d e^{3} x^{2}}{7 \, b^{2}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{4} x^{2}}{56 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{4}}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{3} e}{b^{2}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} d^{2} e^{2}}{2 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} d e^{3}}{b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} e^{4}}{4 \, b^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{2} e^{2} x}{b^{2}} - \frac{6 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d e^{3} x}{7 \, b^{3}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{4} x}{56 \, b^{4}} + \frac{4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{3} e}{5 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{2} e^{2}}{5 \, b^{3}} + \frac{34 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d e^{3}}{35 \, b^{4}} - \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{4}}{280 \, b^{5}}"," ",0,"1/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^4*x^3/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d^4*x - (b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^3*e*x/b + 3/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^2*e^2*x/b^2 - (b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*d*e^3*x/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*e^4*x/b^4 + 4/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d*e^3*x^2/b^2 - 11/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^4*x^2/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^4/b - (b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^3*e/b^2 + 3/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*d^2*e^2/b^3 - (b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*d*e^3/b^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*e^4/b^5 + (b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^2*e^2*x/b^2 - 6/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d*e^3*x/b^3 + 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^4*x/b^4 + 4/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^3*e/b^2 - 7/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^2*e^2/b^3 + 34/35*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d*e^3/b^4 - 69/280*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^4/b^5","B",0
1556,1,400,0,1.134603," ","integrate((e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d^{3} x - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{2} e x}{4 \, b} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d e^{2} x}{4 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} e^{3} x}{4 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} e^{3} x^{2}}{7 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{3}}{4 \, b} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{2} e}{4 \, b^{2}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} d e^{2}}{4 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} e^{3}}{4 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d e^{2} x}{2 \, b^{2}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{3} x}{14 \, b^{3}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{2} e}{5 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d e^{2}}{10 \, b^{3}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{3}}{70 \, b^{4}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d^3*x - 3/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^2*e*x/b + 3/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d*e^2*x/b^2 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*e^3*x/b^3 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^3*x^2/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^3/b - 3/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^2*e/b^2 + 3/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*d*e^2/b^3 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*e^3/b^4 + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d*e^2*x/b^2 - 3/14*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^3*x/b^3 + 3/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^2*e/b^2 - 7/10*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d*e^2/b^3 + 17/70*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^3/b^4","B",0
1557,1,245,0,1.133009," ","integrate((e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d^{2} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d e x}{2 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} e^{2} x}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{2}}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d e}{2 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} e^{2}}{4 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} e^{2} x}{6 \, b^{2}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d e}{5 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{2}}{30 \, b^{3}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d^2*x - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d*e*x/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*e^2*x/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^2/b - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d*e/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*e^2/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^2*x/b^2 + 2/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d*e/b^2 - 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^2/b^3","B",0
1558,1,125,0,1.012391," ","integrate((e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} d x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a e x}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} e}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} e}{5 \, b^{2}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*d*x - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*e*x/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*e/b^2 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e/b^2","B",0
1559,1,46,0,1.125678," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a}{4 \, b}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a/b","A",0
1560,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1561,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1562,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1563,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1564,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1565,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1566,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^7,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1567,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^8,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1568,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^9,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1569,1,815,0,1.203496," ","integrate((e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} e^{5} x^{4}}{11 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d e^{4} x^{3}}{2 \, b^{2}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{5} x^{3}}{22 \, b^{3}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{5} x - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{4} e x}{6 \, b} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{3} e^{2} x}{3 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} d^{2} e^{3} x}{3 \, b^{3}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} d e^{4} x}{6 \, b^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} e^{5} x}{6 \, b^{5}} + \frac{10 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d^{2} e^{3} x^{2}}{9 \, b^{2}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a d e^{4} x^{2}}{18 \, b^{3}} + \frac{31 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{5} x^{2}}{198 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{5}}{6 \, b} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{4} e}{6 \, b^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} d^{3} e^{2}}{3 \, b^{3}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} d^{2} e^{3}}{3 \, b^{4}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} d e^{4}}{6 \, b^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} e^{5}}{6 \, b^{6}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d^{3} e^{2} x}{4 \, b^{2}} - \frac{55 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a d^{2} e^{3} x}{36 \, b^{3}} + \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} d e^{4} x}{36 \, b^{4}} - \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} e^{5} x}{396 \, b^{5}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d^{4} e}{7 \, b^{2}} - \frac{45 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a d^{3} e^{2}}{28 \, b^{3}} + \frac{415 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} d^{2} e^{3}}{252 \, b^{4}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} d e^{4}}{252 \, b^{5}} + \frac{461 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} e^{5}}{2772 \, b^{6}}"," ",0,"1/11*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^5*x^4/b^2 + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d*e^4*x^3/b^2 - 3/22*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^5*x^3/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^5*x - 5/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^4*e*x/b + 5/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^3*e^2*x/b^2 - 5/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*d^2*e^3*x/b^3 + 5/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*d*e^4*x/b^4 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*e^5*x/b^5 + 10/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d^2*e^3*x^2/b^2 - 13/18*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*d*e^4*x^2/b^3 + 31/198*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^5*x^2/b^4 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^5/b - 5/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^4*e/b^2 + 5/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*d^3*e^2/b^3 - 5/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*d^2*e^3/b^4 + 5/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*d*e^4/b^5 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*e^5/b^6 + 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d^3*e^2*x/b^2 - 55/36*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*d^2*e^3*x/b^3 + 29/36*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*d*e^4*x/b^4 - 65/396*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*e^5*x/b^5 + 5/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d^4*e/b^2 - 45/28*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*d^3*e^2/b^3 + 415/252*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*d^2*e^3/b^4 - 209/252*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*d*e^4/b^5 + 461/2772*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*e^5/b^6","B",0
1570,1,588,0,1.228749," ","integrate((e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} e^{4} x^{3}}{10 \, b^{2}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{4} x - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{3} e x}{3 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{2} e^{2} x}{b^{2}} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} d e^{3} x}{3 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} e^{4} x}{6 \, b^{4}} + \frac{4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d e^{3} x^{2}}{9 \, b^{2}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{4} x^{2}}{90 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{4}}{6 \, b} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{3} e}{3 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} d^{2} e^{2}}{b^{3}} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} d e^{3}}{3 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} e^{4}}{6 \, b^{5}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d^{2} e^{2} x}{4 \, b^{2}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a d e^{3} x}{18 \, b^{3}} + \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{4} x}{180 \, b^{4}} + \frac{4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d^{3} e}{7 \, b^{2}} - \frac{27 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a d^{2} e^{2}}{28 \, b^{3}} + \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} d e^{3}}{126 \, b^{4}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} e^{4}}{1260 \, b^{5}}"," ",0,"1/10*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^4*x^3/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^4*x - 2/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^3*e*x/b + (b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^2*e^2*x/b^2 - 2/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*d*e^3*x/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*e^4*x/b^4 + 4/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d*e^3*x^2/b^2 - 13/90*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^4*x^2/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^4/b - 2/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^3*e/b^2 + (b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*d^2*e^2/b^3 - 2/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*d*e^3/b^4 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*e^4/b^5 + 3/4*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d^2*e^2*x/b^2 - 11/18*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*d*e^3*x/b^3 + 29/180*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^4*x/b^4 + 4/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d^3*e/b^2 - 27/28*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*d^2*e^2/b^3 + 83/126*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*d*e^3/b^4 - 209/1260*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*e^4/b^5","B",0
1571,1,400,0,1.155601," ","integrate((e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{3} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{2} e x}{2 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d e^{2} x}{2 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{3} x}{6 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} e^{3} x^{2}}{9 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{3}}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{2} e}{2 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} d e^{2}}{2 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} e^{3}}{6 \, b^{4}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d e^{2} x}{8 \, b^{2}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{3} x}{72 \, b^{3}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d^{2} e}{7 \, b^{2}} - \frac{27 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a d e^{2}}{56 \, b^{3}} + \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{3}}{504 \, b^{4}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^3*x - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^2*e*x/b + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d*e^2*x/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^3*x/b^3 + 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^3*x^2/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^3/b - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^2*e/b^2 + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*d*e^2/b^3 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*e^3/b^4 + 3/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d*e^2*x/b^2 - 11/72*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^3*x/b^3 + 3/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d^2*e/b^2 - 27/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*d*e^2/b^3 + 83/504*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^3/b^4","B",0
1572,1,245,0,1.143348," ","integrate((e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d^{2} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d e x}{3 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{2} x}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{2}}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d e}{3 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{2}}{6 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} e^{2} x}{8 \, b^{2}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} d e}{7 \, b^{2}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{2}}{56 \, b^{3}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d^2*x - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d*e*x/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^2*x/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^2/b - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d*e/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^2/b^3 + 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^2*x/b^2 + 2/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*d*e/b^2 - 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^2/b^3","B",0
1573,1,125,0,1.031399," ","integrate((e*x+d)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} d x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e x}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} e}{7 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*d*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e*x/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e/b^2 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e/b^2","B",0
1574,1,46,0,0.995618," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{6 \, b}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b","A",0
1575,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1576,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1577,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1578,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1579,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1580,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1581,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^7,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1582,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^8,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1583,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^9,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1584,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^10,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1585,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^11,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1586,-2,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^12,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1587,1,348,0,1.074189," ","integrate((e*x+d)^4/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} e^{4} x^{3}}{4 \, b^{2}} + \frac{3 \, d^{2} e^{2} x^{2}}{b} - \frac{10 \, a d e^{3} x^{2}}{3 \, b^{2}} + \frac{13 \, a^{2} e^{4} x^{2}}{12 \, b^{3}} + \frac{4 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} d e^{3} x^{2}}{3 \, b^{2}} - \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a e^{4} x^{2}}{12 \, b^{3}} - \frac{6 \, a d^{2} e^{2} x}{b^{2}} + \frac{20 \, a^{2} d e^{3} x}{3 \, b^{3}} - \frac{13 \, a^{3} e^{4} x}{6 \, b^{4}} + \frac{d^{4} \log\left(x + \frac{a}{b}\right)}{b} - \frac{4 \, a d^{3} e \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{6 \, a^{2} d^{2} e^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{4 \, a^{3} d e^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{a^{4} e^{4} \log\left(x + \frac{a}{b}\right)}{b^{5}} + \frac{4 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} d^{3} e}{b^{2}} - \frac{8 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d e^{3}}{3 \, b^{4}} + \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} e^{4}}{6 \, b^{5}}"," ",0,"1/4*sqrt(b^2*x^2 + 2*a*b*x + a^2)*e^4*x^3/b^2 + 3*d^2*e^2*x^2/b - 10/3*a*d*e^3*x^2/b^2 + 13/12*a^2*e^4*x^2/b^3 + 4/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*d*e^3*x^2/b^2 - 7/12*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*e^4*x^2/b^3 - 6*a*d^2*e^2*x/b^2 + 20/3*a^2*d*e^3*x/b^3 - 13/6*a^3*e^4*x/b^4 + d^4*log(x + a/b)/b - 4*a*d^3*e*log(x + a/b)/b^2 + 6*a^2*d^2*e^2*log(x + a/b)/b^3 - 4*a^3*d*e^3*log(x + a/b)/b^4 + a^4*e^4*log(x + a/b)/b^5 + 4*sqrt(b^2*x^2 + 2*a*b*x + a^2)*d^3*e/b^2 - 8/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d*e^3/b^4 + 7/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*e^4/b^5","B",0
1588,1,205,0,1.110068," ","integrate((e*x+d)^3/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{3 \, d e^{2} x^{2}}{2 \, b} - \frac{5 \, a e^{3} x^{2}}{6 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} e^{3} x^{2}}{3 \, b^{2}} - \frac{3 \, a d e^{2} x}{b^{2}} + \frac{5 \, a^{2} e^{3} x}{3 \, b^{3}} + \frac{d^{3} \log\left(x + \frac{a}{b}\right)}{b} - \frac{3 \, a d^{2} e \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{3 \, a^{2} d e^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{a^{3} e^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} d^{2} e}{b^{2}} - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} e^{3}}{3 \, b^{4}}"," ",0,"3/2*d*e^2*x^2/b - 5/6*a*e^3*x^2/b^2 + 1/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*e^3*x^2/b^2 - 3*a*d*e^2*x/b^2 + 5/3*a^2*e^3*x/b^3 + d^3*log(x + a/b)/b - 3*a*d^2*e*log(x + a/b)/b^2 + 3*a^2*d*e^2*log(x + a/b)/b^3 - a^3*e^3*log(x + a/b)/b^4 + 3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*d^2*e/b^2 - 2/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*e^3/b^4","A",0
1589,1,96,0,1.072938," ","integrate((e*x+d)^2/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{e^{2} x^{2}}{2 \, b} - \frac{a e^{2} x}{b^{2}} + \frac{d^{2} \log\left(x + \frac{a}{b}\right)}{b} - \frac{2 \, a d e \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{a^{2} e^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} + \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} d e}{b^{2}}"," ",0,"1/2*e^2*x^2/b - a*e^2*x/b^2 + d^2*log(x + a/b)/b - 2*a*d*e*log(x + a/b)/b^2 + a^2*e^2*log(x + a/b)/b^3 + 2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*d*e/b^2","A",0
1590,1,52,0,1.020516," ","integrate((e*x+d)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{d \log\left(x + \frac{a}{b}\right)}{b} - \frac{a e \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} e}{b^{2}}"," ",0,"d*log(x + a/b)/b - a*e*log(x + a/b)/b^2 + sqrt(b^2*x^2 + 2*a*b*x + a^2)*e/b^2","A",0
1591,1,12,0,1.081599," ","integrate(1/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(x + \frac{a}{b}\right)}{b}"," ",0,"log(x + a/b)/b","A",0
1592,-2,0,0,0.000000," ","integrate(1/(e*x+d)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1593,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1594,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1595,-2,0,0,0.000000," ","integrate(1/(e*x+d)^4/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1596,1,397,0,1.133944," ","integrate((e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{4} x^{3}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{4 \, d e^{3} x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{5 \, a e^{4} x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} + \frac{6 \, d^{2} e^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{12 \, a d e^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{6 \, a^{2} e^{4} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{4 \, d^{3} e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{8 \, a^{2} d e^{3}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{5 \, a^{3} e^{4}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}} + \frac{12 \, a d^{2} e^{2} x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{24 \, a^{2} d e^{3} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{12 \, a^{3} e^{4} x}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{d^{4}}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, a d^{3} e}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{9 \, a^{2} d^{2} e^{2}}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{22 \, a^{3} d e^{3}}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{23 \, a^{4} e^{4}}{2 \, b^{7} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"1/2*e^4*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 4*d*e^3*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 5/2*a*e^4*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) + 6*d^2*e^2*log(x + a/b)/b^3 - 12*a*d*e^3*log(x + a/b)/b^4 + 6*a^2*e^4*log(x + a/b)/b^5 - 4*d^3*e/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 8*a^2*d*e^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - 5*a^3*e^4/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5) + 12*a*d^2*e^2*x/(b^4*(x + a/b)^2) - 24*a^2*d*e^3*x/(b^5*(x + a/b)^2) + 12*a^3*e^4*x/(b^6*(x + a/b)^2) - 1/2*d^4/(b^3*(x + a/b)^2) + 2*a*d^3*e/(b^4*(x + a/b)^2) + 9*a^2*d^2*e^2/(b^5*(x + a/b)^2) - 22*a^3*d*e^3/(b^6*(x + a/b)^2) + 23/2*a^4*e^4/(b^7*(x + a/b)^2)","B",0
1597,1,237,0,0.984470," ","integrate((e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{3} x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{3 \, d e^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{3 \, a e^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} - \frac{3 \, d^{2} e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{2 \, a^{2} e^{3}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} + \frac{6 \, a d e^{2} x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{6 \, a^{2} e^{3} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{d^{3}}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, a d^{2} e}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{9 \, a^{2} d e^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, a^{3} e^{3}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"e^3*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 3*d*e^2*log(x + a/b)/b^3 - 3*a*e^3*log(x + a/b)/b^4 - 3*d^2*e/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 2*a^2*e^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) + 6*a*d*e^2*x/(b^4*(x + a/b)^2) - 6*a^2*e^3*x/(b^5*(x + a/b)^2) - 1/2*d^3/(b^3*(x + a/b)^2) + 3/2*a*d^2*e/(b^4*(x + a/b)^2) + 9/2*a^2*d*e^2/(b^5*(x + a/b)^2) - 11/2*a^3*e^3/(b^6*(x + a/b)^2)","B",0
1598,1,113,0,1.080815," ","integrate((e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{2 \, d e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{2 \, a e^{2} x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{d^{2}}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{a d e}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, a^{2} e^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"e^2*log(x + a/b)/b^3 - 2*d*e/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 2*a*e^2*x/(b^4*(x + a/b)^2) - 1/2*d^2/(b^3*(x + a/b)^2) + a*d*e/(b^4*(x + a/b)^2) + 3/2*a^2*e^2/(b^5*(x + a/b)^2)","A",0
1599,1,56,0,1.100749," ","integrate((e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{d}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{a e}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-e/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 1/2*d/(b^3*(x + a/b)^2) + 1/2*a*e/(b^4*(x + a/b)^2)","A",0
1600,1,14,0,1.158297," ","integrate(1/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-1/2/(b^3*(x + a/b)^2)","A",0
1601,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1602,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1603,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1604,1,576,0,1.573807," ","integrate((e*x+d)^6/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{4} \, e^{6} {\left(\frac{2 \, b^{6} x^{6} - 12 \, a b^{5} x^{5} - 68 \, a^{2} b^{4} x^{4} - 32 \, a^{3} b^{3} x^{3} + 132 \, a^{4} b^{2} x^{2} + 168 \, a^{5} b x + 57 \, a^{6}}{b^{11} x^{4} + 4 \, a b^{10} x^{3} + 6 \, a^{2} b^{9} x^{2} + 4 \, a^{3} b^{8} x + a^{4} b^{7}} + \frac{60 \, a^{2} \log\left(b x + a\right)}{b^{7}}\right)} + \frac{1}{2} \, d e^{5} {\left(\frac{12 \, b^{5} x^{5} + 48 \, a b^{4} x^{4} - 48 \, a^{2} b^{3} x^{3} - 252 \, a^{3} b^{2} x^{2} - 248 \, a^{4} b x - 77 \, a^{5}}{b^{10} x^{4} + 4 \, a b^{9} x^{3} + 6 \, a^{2} b^{8} x^{2} + 4 \, a^{3} b^{7} x + a^{4} b^{6}} - \frac{60 \, a \log\left(b x + a\right)}{b^{6}}\right)} + \frac{5}{4} \, d^{2} e^{4} {\left(\frac{48 \, a b^{3} x^{3} + 108 \, a^{2} b^{2} x^{2} + 88 \, a^{3} b x + 25 \, a^{4}}{b^{9} x^{4} + 4 \, a b^{8} x^{3} + 6 \, a^{2} b^{7} x^{2} + 4 \, a^{3} b^{6} x + a^{4} b^{5}} + \frac{12 \, \log\left(b x + a\right)}{b^{5}}\right)} - \frac{5}{3} \, d^{3} e^{3} {\left(\frac{12 \, x^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} + \frac{8 \, a^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}} + \frac{6 \, a}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{8 \, a^{2}}{b^{7} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{3 \, a^{3}}{b^{8} {\left(x + \frac{a}{b}\right)}^{4}}\right)} - \frac{1}{2} \, d^{5} e {\left(\frac{4}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{3 \, a}{b^{6} {\left(x + \frac{a}{b}\right)}^{4}}\right)} - \frac{5}{4} \, d^{4} e^{2} {\left(\frac{6}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{8 \, a}{b^{6} {\left(x + \frac{a}{b}\right)}^{3}} + \frac{3 \, a^{2}}{b^{7} {\left(x + \frac{a}{b}\right)}^{4}}\right)} - \frac{d^{6}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"1/4*e^6*((2*b^6*x^6 - 12*a*b^5*x^5 - 68*a^2*b^4*x^4 - 32*a^3*b^3*x^3 + 132*a^4*b^2*x^2 + 168*a^5*b*x + 57*a^6)/(b^11*x^4 + 4*a*b^10*x^3 + 6*a^2*b^9*x^2 + 4*a^3*b^8*x + a^4*b^7) + 60*a^2*log(b*x + a)/b^7) + 1/2*d*e^5*((12*b^5*x^5 + 48*a*b^4*x^4 - 48*a^2*b^3*x^3 - 252*a^3*b^2*x^2 - 248*a^4*b*x - 77*a^5)/(b^10*x^4 + 4*a*b^9*x^3 + 6*a^2*b^8*x^2 + 4*a^3*b^7*x + a^4*b^6) - 60*a*log(b*x + a)/b^6) + 5/4*d^2*e^4*((48*a*b^3*x^3 + 108*a^2*b^2*x^2 + 88*a^3*b*x + 25*a^4)/(b^9*x^4 + 4*a*b^8*x^3 + 6*a^2*b^7*x^2 + 4*a^3*b^6*x + a^4*b^5) + 12*log(b*x + a)/b^5) - 5/3*d^3*e^3*(12*x^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) + 8*a^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4) + 6*a/(b^6*(x + a/b)^2) - 8*a^2/(b^7*(x + a/b)^3) - 3*a^3/(b^8*(x + a/b)^4)) - 1/2*d^5*e*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 5/4*d^4*e^2*(6/(b^5*(x + a/b)^2) - 8*a/(b^6*(x + a/b)^3) + 3*a^2/(b^7*(x + a/b)^4)) - 1/4*d^6/(b^5*(x + a/b)^4)","B",0
1605,1,443,0,1.537307," ","integrate((e*x+d)^5/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{12} \, e^{5} {\left(\frac{12 \, b^{5} x^{5} + 48 \, a b^{4} x^{4} - 48 \, a^{2} b^{3} x^{3} - 252 \, a^{3} b^{2} x^{2} - 248 \, a^{4} b x - 77 \, a^{5}}{b^{10} x^{4} + 4 \, a b^{9} x^{3} + 6 \, a^{2} b^{8} x^{2} + 4 \, a^{3} b^{7} x + a^{4} b^{6}} - \frac{60 \, a \log\left(b x + a\right)}{b^{6}}\right)} + \frac{5}{12} \, d e^{4} {\left(\frac{48 \, a b^{3} x^{3} + 108 \, a^{2} b^{2} x^{2} + 88 \, a^{3} b x + 25 \, a^{4}}{b^{9} x^{4} + 4 \, a b^{8} x^{3} + 6 \, a^{2} b^{7} x^{2} + 4 \, a^{3} b^{6} x + a^{4} b^{5}} + \frac{12 \, \log\left(b x + a\right)}{b^{5}}\right)} - \frac{5}{6} \, d^{2} e^{3} {\left(\frac{12 \, x^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} + \frac{8 \, a^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}} + \frac{6 \, a}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{8 \, a^{2}}{b^{7} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{3 \, a^{3}}{b^{8} {\left(x + \frac{a}{b}\right)}^{4}}\right)} - \frac{5}{12} \, d^{4} e {\left(\frac{4}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{3 \, a}{b^{6} {\left(x + \frac{a}{b}\right)}^{4}}\right)} - \frac{5}{6} \, d^{3} e^{2} {\left(\frac{6}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{8 \, a}{b^{6} {\left(x + \frac{a}{b}\right)}^{3}} + \frac{3 \, a^{2}}{b^{7} {\left(x + \frac{a}{b}\right)}^{4}}\right)} - \frac{d^{5}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"1/12*e^5*((12*b^5*x^5 + 48*a*b^4*x^4 - 48*a^2*b^3*x^3 - 252*a^3*b^2*x^2 - 248*a^4*b*x - 77*a^5)/(b^10*x^4 + 4*a*b^9*x^3 + 6*a^2*b^8*x^2 + 4*a^3*b^7*x + a^4*b^6) - 60*a*log(b*x + a)/b^6) + 5/12*d*e^4*((48*a*b^3*x^3 + 108*a^2*b^2*x^2 + 88*a^3*b*x + 25*a^4)/(b^9*x^4 + 4*a*b^8*x^3 + 6*a^2*b^7*x^2 + 4*a^3*b^6*x + a^4*b^5) + 12*log(b*x + a)/b^5) - 5/6*d^2*e^3*(12*x^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) + 8*a^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4) + 6*a/(b^6*(x + a/b)^2) - 8*a^2/(b^7*(x + a/b)^3) - 3*a^3/(b^8*(x + a/b)^4)) - 5/12*d^4*e*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 5/6*d^3*e^2*(6/(b^5*(x + a/b)^2) - 8*a/(b^6*(x + a/b)^3) + 3*a^2/(b^7*(x + a/b)^4)) - 1/4*d^5/(b^5*(x + a/b)^4)","B",0
1606,1,323,0,1.315376," ","integrate((e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{12} \, e^{4} {\left(\frac{48 \, a b^{3} x^{3} + 108 \, a^{2} b^{2} x^{2} + 88 \, a^{3} b x + 25 \, a^{4}}{b^{9} x^{4} + 4 \, a b^{8} x^{3} + 6 \, a^{2} b^{7} x^{2} + 4 \, a^{3} b^{6} x + a^{4} b^{5}} + \frac{12 \, \log\left(b x + a\right)}{b^{5}}\right)} - \frac{1}{3} \, d e^{3} {\left(\frac{12 \, x^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} + \frac{8 \, a^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}} + \frac{6 \, a}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{8 \, a^{2}}{b^{7} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{3 \, a^{3}}{b^{8} {\left(x + \frac{a}{b}\right)}^{4}}\right)} - \frac{1}{3} \, d^{3} e {\left(\frac{4}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{3 \, a}{b^{6} {\left(x + \frac{a}{b}\right)}^{4}}\right)} - \frac{1}{2} \, d^{2} e^{2} {\left(\frac{6}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{8 \, a}{b^{6} {\left(x + \frac{a}{b}\right)}^{3}} + \frac{3 \, a^{2}}{b^{7} {\left(x + \frac{a}{b}\right)}^{4}}\right)} - \frac{d^{4}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"1/12*e^4*((48*a*b^3*x^3 + 108*a^2*b^2*x^2 + 88*a^3*b*x + 25*a^4)/(b^9*x^4 + 4*a*b^8*x^3 + 6*a^2*b^7*x^2 + 4*a^3*b^6*x + a^4*b^5) + 12*log(b*x + a)/b^5) - 1/3*d*e^3*(12*x^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) + 8*a^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4) + 6*a/(b^6*(x + a/b)^2) - 8*a^2/(b^7*(x + a/b)^3) - 3*a^3/(b^8*(x + a/b)^4)) - 1/3*d^3*e*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 1/2*d^2*e^2*(6/(b^5*(x + a/b)^2) - 8*a/(b^6*(x + a/b)^3) + 3*a^2/(b^7*(x + a/b)^4)) - 1/4*d^4/(b^5*(x + a/b)^4)","B",0
1607,1,238,0,1.137763," ","integrate((e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{e^{3} x^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{d^{2} e}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{2 \, a^{2} e^{3}}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}} - \frac{3 \, d e^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{a e^{3}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, a d e^{2}}{b^{6} {\left(x + \frac{a}{b}\right)}^{3}} + \frac{2 \, a^{2} e^{3}}{3 \, b^{7} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{d^{3}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{3 \, a d^{2} e}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{3 \, a^{2} d e^{2}}{4 \, b^{7} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{a^{3} e^{3}}{4 \, b^{8} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-e^3*x^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - d^2*e/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 2/3*a^2*e^3/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4) - 3/2*d*e^2/(b^5*(x + a/b)^2) - 1/2*a*e^3/(b^6*(x + a/b)^2) + 2*a*d*e^2/(b^6*(x + a/b)^3) + 2/3*a^2*e^3/(b^7*(x + a/b)^3) - 1/4*d^3/(b^5*(x + a/b)^4) + 3/4*a*d^2*e/(b^6*(x + a/b)^4) - 3/4*a^2*d*e^2/(b^7*(x + a/b)^4) + 1/4*a^3*e^3/(b^8*(x + a/b)^4)","B",0
1608,1,115,0,1.059767," ","integrate((e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, d e}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{e^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, a e^{2}}{3 \, b^{6} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{d^{2}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{a d e}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{a^{2} e^{2}}{4 \, b^{7} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-2/3*d*e/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 1/2*e^2/(b^5*(x + a/b)^2) + 2/3*a*e^2/(b^6*(x + a/b)^3) - 1/4*d^2/(b^5*(x + a/b)^4) + 1/2*a*d*e/(b^6*(x + a/b)^4) - 1/4*a^2*e^2/(b^7*(x + a/b)^4)","A",0
1609,1,56,0,1.105354," ","integrate((e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{e}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{d}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{a e}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/3*e/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 1/4*d/(b^5*(x + a/b)^4) + 1/4*a*e/(b^6*(x + a/b)^4)","A",0
1610,1,14,0,0.960246," ","integrate(1/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/4/(b^5*(x + a/b)^4)","A",0
1611,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1612,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1613,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
1614,1,78,0,2.388664," ","integrate((e*x+d)*(4*x^2+12*x+9)^(5/2),x, algorithm=""maxima"")","\frac{1}{28} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{7}{2}} e + \frac{1}{6} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}} d x - \frac{1}{4} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}} e x + \frac{1}{4} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}} d - \frac{3}{8} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}} e"," ",0,"1/28*(4*x^2 + 12*x + 9)^(7/2)*e + 1/6*(4*x^2 + 12*x + 9)^(5/2)*d*x - 1/4*(4*x^2 + 12*x + 9)^(5/2)*e*x + 1/4*(4*x^2 + 12*x + 9)^(5/2)*d - 3/8*(4*x^2 + 12*x + 9)^(5/2)*e","A",0
1615,1,78,0,2.471806," ","integrate((e*x+d)*(4*x^2+12*x+9)^(3/2),x, algorithm=""maxima"")","\frac{1}{20} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}} e + \frac{1}{4} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}} d x - \frac{3}{8} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}} e x + \frac{3}{8} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}} d - \frac{9}{16} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}} e"," ",0,"1/20*(4*x^2 + 12*x + 9)^(5/2)*e + 1/4*(4*x^2 + 12*x + 9)^(3/2)*d*x - 3/8*(4*x^2 + 12*x + 9)^(3/2)*e*x + 3/8*(4*x^2 + 12*x + 9)^(3/2)*d - 9/16*(4*x^2 + 12*x + 9)^(3/2)*e","A",0
1616,1,78,0,2.429499," ","integrate((e*x+d)*(4*x^2+12*x+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}} e + \frac{1}{2} \, \sqrt{4 \, x^{2} + 12 \, x + 9} d x - \frac{3}{4} \, \sqrt{4 \, x^{2} + 12 \, x + 9} e x + \frac{3}{4} \, \sqrt{4 \, x^{2} + 12 \, x + 9} d - \frac{9}{8} \, \sqrt{4 \, x^{2} + 12 \, x + 9} e"," ",0,"1/12*(4*x^2 + 12*x + 9)^(3/2)*e + 1/2*sqrt(4*x^2 + 12*x + 9)*d*x - 3/4*sqrt(4*x^2 + 12*x + 9)*e*x + 3/4*sqrt(4*x^2 + 12*x + 9)*d - 9/8*sqrt(4*x^2 + 12*x + 9)*e","A",0
1617,1,30,0,2.264190," ","integrate((e*x+d)/(4*x^2+12*x+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, d \log\left(x + \frac{3}{2}\right) - \frac{3}{4} \, e \log\left(x + \frac{3}{2}\right) + \frac{1}{4} \, \sqrt{4 \, x^{2} + 12 \, x + 9} e"," ",0,"1/2*d*log(x + 3/2) - 3/4*e*log(x + 3/2) + 1/4*sqrt(4*x^2 + 12*x + 9)*e","A",0
1618,1,36,0,2.341917," ","integrate((e*x+d)/(4*x^2+12*x+9)^(3/2),x, algorithm=""maxima"")","-\frac{e}{4 \, \sqrt{4 \, x^{2} + 12 \, x + 9}} - \frac{d}{4 \, {\left(2 \, x + 3\right)}^{2}} + \frac{3 \, e}{8 \, {\left(2 \, x + 3\right)}^{2}}"," ",0,"-1/4*e/sqrt(4*x^2 + 12*x + 9) - 1/4*d/(2*x + 3)^2 + 3/8*e/(2*x + 3)^2","A",0
1619,1,36,0,2.430276," ","integrate((e*x+d)/(4*x^2+12*x+9)^(5/2),x, algorithm=""maxima"")","-\frac{e}{12 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{3}{2}}} - \frac{d}{8 \, {\left(2 \, x + 3\right)}^{4}} + \frac{3 \, e}{16 \, {\left(2 \, x + 3\right)}^{4}}"," ",0,"-1/12*e/(4*x^2 + 12*x + 9)^(3/2) - 1/8*d/(2*x + 3)^4 + 3/16*e/(2*x + 3)^4","A",0
1620,1,36,0,2.352395," ","integrate((e*x+d)/(4*x^2+12*x+9)^(7/2),x, algorithm=""maxima"")","-\frac{e}{20 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}^{\frac{5}{2}}} - \frac{d}{12 \, {\left(2 \, x + 3\right)}^{6}} + \frac{e}{8 \, {\left(2 \, x + 3\right)}^{6}}"," ",0,"-1/20*e/(4*x^2 + 12*x + 9)^(5/2) - 1/12*d/(2*x + 3)^6 + 1/8*e/(2*x + 3)^6","A",0
1621,1,68,0,1.092382," ","integrate((e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(99 \, {\left(e x + d\right)}^{\frac{13}{2}} b^{2} - 234 \, {\left(b^{2} d - a b e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 143 \, {\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{1287 \, e^{3}}"," ",0,"2/1287*(99*(e*x + d)^(13/2)*b^2 - 234*(b^2*d - a*b*e)*(e*x + d)^(11/2) + 143*(b^2*d^2 - 2*a*b*d*e + a^2*e^2)*(e*x + d)^(9/2))/e^3","A",0
1622,1,68,0,1.004925," ","integrate((e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} b^{2} - 154 \, {\left(b^{2} d - a b e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 99 \, {\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{693 \, e^{3}}"," ",0,"2/693*(63*(e*x + d)^(11/2)*b^2 - 154*(b^2*d - a*b*e)*(e*x + d)^(9/2) + 99*(b^2*d^2 - 2*a*b*d*e + a^2*e^2)*(e*x + d)^(7/2))/e^3","A",0
1623,1,68,0,1.059050," ","integrate((e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} b^{2} - 90 \, {\left(b^{2} d - a b e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 63 \, {\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{315 \, e^{3}}"," ",0,"2/315*(35*(e*x + d)^(9/2)*b^2 - 90*(b^2*d - a*b*e)*(e*x + d)^(7/2) + 63*(b^2*d^2 - 2*a*b*d*e + a^2*e^2)*(e*x + d)^(5/2))/e^3","A",0
1624,1,68,0,1.019193," ","integrate((b^2*x^2+2*a*b*x+a^2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{\frac{7}{2}} b^{2} - 42 \, {\left(b^{2} d - a b e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{105 \, e^{3}}"," ",0,"2/105*(15*(e*x + d)^(7/2)*b^2 - 42*(b^2*d - a*b*e)*(e*x + d)^(5/2) + 35*(b^2*d^2 - 2*a*b*d*e + a^2*e^2)*(e*x + d)^(3/2))/e^3","A",0
1625,1,82,0,1.100331," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, \sqrt{e x + d} a^{2} + \frac{10 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)} a b}{e} + \frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} b^{2}}{e^{2}}\right)}}{15 \, e}"," ",0,"2/15*(15*sqrt(e*x + d)*a^2 + 10*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)*a*b/e + (3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*b^2/e^2)/e","A",0
1626,1,75,0,1.155554," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} b^{2} - 6 \, {\left(b^{2} d - a b e\right)} \sqrt{e x + d}}{e^{2}} - \frac{3 \, {\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)}}{\sqrt{e x + d} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(((e*x + d)^(3/2)*b^2 - 6*(b^2*d - a*b*e)*sqrt(e*x + d))/e^2 - 3*(b^2*d^2 - 2*a*b*d*e + a^2*e^2)/(sqrt(e*x + d)*e^2))/e","A",0
1627,1,72,0,1.162367," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, \sqrt{e x + d} b^{2}}{e^{2}} - \frac{b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2} - 6 \, {\left(b^{2} d - a b e\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(3*sqrt(e*x + d)*b^2/e^2 - (b^2*d^2 - 2*a*b*d*e + a^2*e^2 - 6*(b^2*d - a*b*e)*(e*x + d))/((e*x + d)^(3/2)*e^2))/e","A",0
1628,1,65,0,1.064219," ","integrate((b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{2} b^{2} + 3 \, b^{2} d^{2} - 6 \, a b d e + 3 \, a^{2} e^{2} - 10 \, {\left(b^{2} d - a b e\right)} {\left(e x + d\right)}\right)}}{15 \, {\left(e x + d\right)}^{\frac{5}{2}} e^{3}}"," ",0,"-2/15*(15*(e*x + d)^2*b^2 + 3*b^2*d^2 - 6*a*b*d*e + 3*a^2*e^2 - 10*(b^2*d - a*b*e)*(e*x + d))/((e*x + d)^(5/2)*e^3)","A",0
1629,1,181,0,1.064122," ","integrate((e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(6435 \, {\left(e x + d\right)}^{\frac{17}{2}} b^{4} - 29172 \, {\left(b^{4} d - a b^{3} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 50490 \, {\left(b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 39780 \, {\left(b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 12155 \, {\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(e x + d\right)}^{\frac{9}{2}}\right)}}{109395 \, e^{5}}"," ",0,"2/109395*(6435*(e*x + d)^(17/2)*b^4 - 29172*(b^4*d - a*b^3*e)*(e*x + d)^(15/2) + 50490*(b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2)*(e*x + d)^(13/2) - 39780*(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3)*(e*x + d)^(11/2) + 12155*(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)*(e*x + d)^(9/2))/e^5","A",0
1630,1,181,0,1.157812," ","integrate((e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(e x + d\right)}^{\frac{15}{2}} b^{4} - 13860 \, {\left(b^{4} d - a b^{3} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 24570 \, {\left(b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 20020 \, {\left(b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 6435 \, {\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(e x + d\right)}^{\frac{7}{2}}\right)}}{45045 \, e^{5}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*b^4 - 13860*(b^4*d - a*b^3*e)*(e*x + d)^(13/2) + 24570*(b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2)*(e*x + d)^(11/2) - 20020*(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3)*(e*x + d)^(9/2) + 6435*(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)*(e*x + d)^(7/2))/e^5","A",0
1631,1,181,0,1.078387," ","integrate((e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(1155 \, {\left(e x + d\right)}^{\frac{13}{2}} b^{4} - 5460 \, {\left(b^{4} d - a b^{3} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 10010 \, {\left(b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 8580 \, {\left(b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 3003 \, {\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(e x + d\right)}^{\frac{5}{2}}\right)}}{15015 \, e^{5}}"," ",0,"2/15015*(1155*(e*x + d)^(13/2)*b^4 - 5460*(b^4*d - a*b^3*e)*(e*x + d)^(11/2) + 10010*(b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2)*(e*x + d)^(9/2) - 8580*(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3)*(e*x + d)^(7/2) + 3003*(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)*(e*x + d)^(5/2))/e^5","A",0
1632,1,181,0,1.065270," ","integrate((b^2*x^2+2*a*b*x+a^2)^2*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(e x + d\right)}^{\frac{11}{2}} b^{4} - 1540 \, {\left(b^{4} d - a b^{3} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 2970 \, {\left(b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 2772 \, {\left(b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\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(e x + d\right)}^{\frac{3}{2}}\right)}}{3465 \, e^{5}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*b^4 - 1540*(b^4*d - a*b^3*e)*(e*x + d)^(9/2) + 2970*(b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2)*(e*x + d)^(7/2) - 2772*(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3)*(e*x + d)^(5/2) + 1155*(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)*(e*x + d)^(3/2))/e^5","A",0
1633,1,247,0,1.101810," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, \sqrt{e x + d} a^{4} + 42 \, {\left(\frac{10 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)} a b}{e} + \frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} b^{2}}{e^{2}}\right)} a^{2} + \frac{84 \, {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} a^{2} b^{2}}{e^{2}} + \frac{36 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} a b^{3}}{e^{3}} + \frac{{\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} b^{4}}{e^{4}}\right)}}{315 \, e}"," ",0,"2/315*(315*sqrt(e*x + d)*a^4 + 42*(10*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)*a*b/e + (3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*b^2/e^2)*a^2 + 84*(3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*a^2*b^2/e^2 + 36*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*a*b^3/e^3 + (35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*b^4/e^4)/e","B",0
1634,1,189,0,1.028103," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}} b^{4} - 28 \, {\left(b^{4} d - a b^{3} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 70 \, {\left(b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 140 \, {\left(b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}\right)} \sqrt{e x + d}}{e^{4}} - \frac{35 \, {\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{e x + d} e^{4}}\right)}}{35 \, e}"," ",0,"2/35*((5*(e*x + d)^(7/2)*b^4 - 28*(b^4*d - a*b^3*e)*(e*x + d)^(5/2) + 70*(b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2)*(e*x + d)^(3/2) - 140*(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3)*sqrt(e*x + d))/e^4 - 35*(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(e*x + d)*e^4))/e","A",0
1635,1,187,0,1.023417," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} b^{4} - 20 \, {\left(b^{4} d - a b^{3} e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 90 \, {\left(b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}\right)} \sqrt{e x + d}}{e^{4}} - \frac{5 \, {\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} - 12 \, {\left(b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{4}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*b^4 - 20*(b^4*d - a*b^3*e)*(e*x + d)^(3/2) + 90*(b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2)*sqrt(e*x + d))/e^4 - 5*(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 - 12*(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3)*(e*x + d))/((e*x + d)^(3/2)*e^4))/e","A",0
1636,1,189,0,1.188201," ","integrate((b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} b^{4} - 12 \, {\left(b^{4} d - a b^{3} e\right)} \sqrt{e x + d}\right)}}{e^{4}} - \frac{3 \, b^{4} d^{4} - 12 \, a b^{3} d^{3} e + 18 \, a^{2} b^{2} d^{2} e^{2} - 12 \, a^{3} b d e^{3} + 3 \, a^{4} e^{4} + 90 \, {\left(b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}\right)} {\left(e x + d\right)}^{2} - 20 \, {\left(b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{4}}\right)}}{15 \, e}"," ",0,"2/15*(5*((e*x + d)^(3/2)*b^4 - 12*(b^4*d - a*b^3*e)*sqrt(e*x + d))/e^4 - (3*b^4*d^4 - 12*a*b^3*d^3*e + 18*a^2*b^2*d^2*e^2 - 12*a^3*b*d*e^3 + 3*a^4*e^4 + 90*(b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2)*(e*x + d)^2 - 20*(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3)*(e*x + d))/((e*x + d)^(5/2)*e^4))/e","A",0
1637,1,350,0,1.045753," ","integrate((e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(138567 \, {\left(e x + d\right)}^{\frac{21}{2}} b^{6} - 918918 \, {\left(b^{6} d - a b^{5} e\right)} {\left(e x + d\right)}^{\frac{19}{2}} + 2567565 \, {\left(b^{6} d^{2} - 2 \, a b^{5} d e + a^{2} b^{4} e^{2}\right)} {\left(e x + d\right)}^{\frac{17}{2}} - 3879876 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 3357585 \, {\left(b^{6} d^{4} - 4 \, a b^{5} d^{3} e + 6 \, a^{2} b^{4} d^{2} e^{2} - 4 \, a^{3} b^{3} d e^{3} + a^{4} b^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 1587222 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 323323 \, {\left(b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{2909907 \, e^{7}}"," ",0,"2/2909907*(138567*(e*x + d)^(21/2)*b^6 - 918918*(b^6*d - a*b^5*e)*(e*x + d)^(19/2) + 2567565*(b^6*d^2 - 2*a*b^5*d*e + a^2*b^4*e^2)*(e*x + d)^(17/2) - 3879876*(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)*(e*x + d)^(15/2) + 3357585*(b^6*d^4 - 4*a*b^5*d^3*e + 6*a^2*b^4*d^2*e^2 - 4*a^3*b^3*d*e^3 + a^4*b^2*e^4)*(e*x + d)^(13/2) - 1587222*(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)*(e*x + d)^(11/2) + 323323*(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6)*(e*x + d)^(9/2))/e^7","B",0
1638,1,350,0,1.036313," ","integrate((e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(51051 \, {\left(e x + d\right)}^{\frac{19}{2}} b^{6} - 342342 \, {\left(b^{6} d - a b^{5} e\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 969969 \, {\left(b^{6} d^{2} - 2 \, a b^{5} d e + a^{2} b^{4} e^{2}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 1492260 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 1322685 \, {\left(b^{6} d^{4} - 4 \, a b^{5} d^{3} e + 6 \, a^{2} b^{4} d^{2} e^{2} - 4 \, a^{3} b^{3} d e^{3} + a^{4} b^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 646646 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 138567 \, {\left(b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{969969 \, e^{7}}"," ",0,"2/969969*(51051*(e*x + d)^(19/2)*b^6 - 342342*(b^6*d - a*b^5*e)*(e*x + d)^(17/2) + 969969*(b^6*d^2 - 2*a*b^5*d*e + a^2*b^4*e^2)*(e*x + d)^(15/2) - 1492260*(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)*(e*x + d)^(13/2) + 1322685*(b^6*d^4 - 4*a*b^5*d^3*e + 6*a^2*b^4*d^2*e^2 - 4*a^3*b^3*d*e^3 + a^4*b^2*e^4)*(e*x + d)^(11/2) - 646646*(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)*(e*x + d)^(9/2) + 138567*(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6)*(e*x + d)^(7/2))/e^7","B",0
1639,1,350,0,1.150289," ","integrate((e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(15015 \, {\left(e x + d\right)}^{\frac{17}{2}} b^{6} - 102102 \, {\left(b^{6} d - a b^{5} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 294525 \, {\left(b^{6} d^{2} - 2 \, a b^{5} d e + a^{2} b^{4} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 464100 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 425425 \, {\left(b^{6} d^{4} - 4 \, a b^{5} d^{3} e + 6 \, a^{2} b^{4} d^{2} e^{2} - 4 \, a^{3} b^{3} d e^{3} + a^{4} b^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 218790 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 51051 \, {\left(b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{255255 \, e^{7}}"," ",0,"2/255255*(15015*(e*x + d)^(17/2)*b^6 - 102102*(b^6*d - a*b^5*e)*(e*x + d)^(15/2) + 294525*(b^6*d^2 - 2*a*b^5*d*e + a^2*b^4*e^2)*(e*x + d)^(13/2) - 464100*(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)*(e*x + d)^(11/2) + 425425*(b^6*d^4 - 4*a*b^5*d^3*e + 6*a^2*b^4*d^2*e^2 - 4*a^3*b^3*d*e^3 + a^4*b^2*e^4)*(e*x + d)^(9/2) - 218790*(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)*(e*x + d)^(7/2) + 51051*(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6)*(e*x + d)^(5/2))/e^7","B",0
1640,1,350,0,1.059902," ","integrate((b^2*x^2+2*a*b*x+a^2)^3*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(e x + d\right)}^{\frac{15}{2}} b^{6} - 20790 \, {\left(b^{6} d - a b^{5} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 61425 \, {\left(b^{6} d^{2} - 2 \, a b^{5} d e + a^{2} b^{4} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 100100 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 96525 \, {\left(b^{6} d^{4} - 4 \, a b^{5} d^{3} e + 6 \, a^{2} b^{4} d^{2} e^{2} - 4 \, a^{3} b^{3} d e^{3} + a^{4} b^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 54054 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 15015 \, {\left(b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{45045 \, e^{7}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*b^6 - 20790*(b^6*d - a*b^5*e)*(e*x + d)^(13/2) + 61425*(b^6*d^2 - 2*a*b^5*d*e + a^2*b^4*e^2)*(e*x + d)^(11/2) - 100100*(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)*(e*x + d)^(9/2) + 96525*(b^6*d^4 - 4*a*b^5*d^3*e + 6*a^2*b^4*d^2*e^2 - 4*a^3*b^3*d*e^3 + a^4*b^2*e^4)*(e*x + d)^(7/2) - 54054*(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)*(e*x + d)^(5/2) + 15015*(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6)*(e*x + d)^(3/2))/e^7","B",0
1641,1,540,0,1.165705," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15015 \, \sqrt{e x + d} a^{6} + 3003 \, {\left(\frac{10 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)} a b}{e} + \frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} b^{2}}{e^{2}}\right)} a^{4} + \frac{3432 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} a^{3} b^{3}}{e^{3}} + 143 \, {\left(\frac{84 \, {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} a^{2} b^{2}}{e^{2}} + \frac{36 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} a b^{3}}{e^{3}} + \frac{{\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} b^{4}}{e^{4}}\right)} a^{2} + \frac{572 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} a^{2} b^{4}}{e^{4}} + \frac{130 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} - 385 \, {\left(e x + d\right)}^{\frac{9}{2}} d + 990 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{e x + d} d^{5}\right)} a b^{5}}{e^{5}} + \frac{5 \, {\left(231 \, {\left(e x + d\right)}^{\frac{13}{2}} - 1638 \, {\left(e x + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(e x + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{e x + d} d^{6}\right)} b^{6}}{e^{6}}\right)}}{15015 \, e}"," ",0,"2/15015*(15015*sqrt(e*x + d)*a^6 + 3003*(10*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)*a*b/e + (3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*b^2/e^2)*a^4 + 3432*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*a^3*b^3/e^3 + 143*(84*(3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*a^2*b^2/e^2 + 36*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*a*b^3/e^3 + (35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*b^4/e^4)*a^2 + 572*(35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*a^2*b^4/e^4 + 130*(63*(e*x + d)^(11/2) - 385*(e*x + d)^(9/2)*d + 990*(e*x + d)^(7/2)*d^2 - 1386*(e*x + d)^(5/2)*d^3 + 1155*(e*x + d)^(3/2)*d^4 - 693*sqrt(e*x + d)*d^5)*a*b^5/e^5 + 5*(231*(e*x + d)^(13/2) - 1638*(e*x + d)^(11/2)*d + 5005*(e*x + d)^(9/2)*d^2 - 8580*(e*x + d)^(7/2)*d^3 + 9009*(e*x + d)^(5/2)*d^4 - 6006*(e*x + d)^(3/2)*d^5 + 3003*sqrt(e*x + d)*d^6)*b^6/e^6)/e","B",0
1642,1,358,0,1.032638," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{21 \, {\left(e x + d\right)}^{\frac{11}{2}} b^{6} - 154 \, {\left(b^{6} d - a b^{5} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(b^{6} d^{2} - 2 \, a b^{5} d e + a^{2} b^{4} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 924 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(b^{6} d^{4} - 4 \, a b^{5} d^{3} e + 6 \, a^{2} b^{4} d^{2} e^{2} - 4 \, a^{3} b^{3} d e^{3} + a^{4} b^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 1386 \, {\left(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}\right)} \sqrt{e x + d}}{e^{6}} - \frac{231 \, {\left(b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6}\right)}}{\sqrt{e x + d} e^{6}}\right)}}{231 \, e}"," ",0,"2/231*((21*(e*x + d)^(11/2)*b^6 - 154*(b^6*d - a*b^5*e)*(e*x + d)^(9/2) + 495*(b^6*d^2 - 2*a*b^5*d*e + a^2*b^4*e^2)*(e*x + d)^(7/2) - 924*(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)*(e*x + d)^(5/2) + 1155*(b^6*d^4 - 4*a*b^5*d^3*e + 6*a^2*b^4*d^2*e^2 - 4*a^3*b^3*d*e^3 + a^4*b^2*e^4)*(e*x + d)^(3/2) - 1386*(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)*sqrt(e*x + d))/e^6 - 231*(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6)/(sqrt(e*x + d)*e^6))/e","B",0
1643,1,356,0,1.189803," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{7 \, {\left(e x + d\right)}^{\frac{9}{2}} b^{6} - 54 \, {\left(b^{6} d - a b^{5} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 189 \, {\left(b^{6} d^{2} - 2 \, a b^{5} d e + a^{2} b^{4} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 420 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 945 \, {\left(b^{6} d^{4} - 4 \, a b^{5} d^{3} e + 6 \, a^{2} b^{4} d^{2} e^{2} - 4 \, a^{3} b^{3} d e^{3} + a^{4} b^{2} e^{4}\right)} \sqrt{e x + d}}{e^{6}} - \frac{21 \, {\left(b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6} - 18 \, {\left(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}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{6}}\right)}}{63 \, e}"," ",0,"2/63*((7*(e*x + d)^(9/2)*b^6 - 54*(b^6*d - a*b^5*e)*(e*x + d)^(7/2) + 189*(b^6*d^2 - 2*a*b^5*d*e + a^2*b^4*e^2)*(e*x + d)^(5/2) - 420*(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)*(e*x + d)^(3/2) + 945*(b^6*d^4 - 4*a*b^5*d^3*e + 6*a^2*b^4*d^2*e^2 - 4*a^3*b^3*d*e^3 + a^4*b^2*e^4)*sqrt(e*x + d))/e^6 - 21*(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6 - 18*(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)*(e*x + d))/((e*x + d)^(3/2)*e^6))/e","B",0
1644,1,356,0,1.051843," ","integrate((b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}} b^{6} - 42 \, {\left(b^{6} d - a b^{5} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 175 \, {\left(b^{6} d^{2} - 2 \, a b^{5} d e + a^{2} b^{4} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 700 \, {\left(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}\right)} \sqrt{e x + d}}{e^{6}} - \frac{7 \, {\left(b^{6} d^{6} - 6 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} - 20 \, a^{3} b^{3} d^{3} e^{3} + 15 \, a^{4} b^{2} d^{2} e^{4} - 6 \, a^{5} b d e^{5} + a^{6} e^{6} + 75 \, {\left(b^{6} d^{4} - 4 \, a b^{5} d^{3} e + 6 \, a^{2} b^{4} d^{2} e^{2} - 4 \, a^{3} b^{3} d e^{3} + a^{4} b^{2} e^{4}\right)} {\left(e x + d\right)}^{2} - 10 \, {\left(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}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{6}}\right)}}{35 \, e}"," ",0,"2/35*((5*(e*x + d)^(7/2)*b^6 - 42*(b^6*d - a*b^5*e)*(e*x + d)^(5/2) + 175*(b^6*d^2 - 2*a*b^5*d*e + a^2*b^4*e^2)*(e*x + d)^(3/2) - 700*(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)*sqrt(e*x + d))/e^6 - 7*(b^6*d^6 - 6*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a^5*b*d*e^5 + a^6*e^6 + 75*(b^6*d^4 - 4*a*b^5*d^3*e + 6*a^2*b^4*d^2*e^2 - 4*a^3*b^3*d*e^3 + a^4*b^2*e^4)*(e*x + d)^2 - 10*(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)*(e*x + d))/((e*x + d)^(5/2)*e^6))/e","B",0
1645,-2,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1646,-2,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1647,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1648,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1649,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1650,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1651,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1652,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1653,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1654,-2,0,0,0.000000," ","integrate((e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1655,-2,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1656,-2,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1657,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1658,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1659,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1660,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1661,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1662,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1663,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1664,-2,0,0,0.000000," ","integrate((e*x+d)^(15/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1665,-2,0,0,0.000000," ","integrate((e*x+d)^(13/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1666,-2,0,0,0.000000," ","integrate((e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1667,-2,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1668,-2,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1669,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1670,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1671,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1672,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1673,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1674,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1675,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
1676,1,93,0,1.130075," ","integrate((e*x+d)^(5/2)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, b e^{4} x^{4} - 2 \, b d^{4} + 9 \, a d^{3} e + {\left(19 \, b d e^{3} + 9 \, a e^{4}\right)} x^{3} + 3 \, {\left(5 \, b d^{2} e^{2} + 9 \, a d e^{3}\right)} x^{2} + {\left(b d^{3} e + 27 \, a d^{2} e^{2}\right)} x\right)} \sqrt{e x + d}}{63 \, e^{2}}"," ",0,"2/63*(7*b*e^4*x^4 - 2*b*d^4 + 9*a*d^3*e + (19*b*d*e^3 + 9*a*e^4)*x^3 + 3*(5*b*d^2*e^2 + 9*a*d*e^3)*x^2 + (b*d^3*e + 27*a*d^2*e^2)*x)*sqrt(e*x + d)/e^2","A",0
1677,1,69,0,1.169562," ","integrate((e*x+d)^(3/2)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, b e^{3} x^{3} - 2 \, b d^{3} + 7 \, a d^{2} e + {\left(8 \, b d e^{2} + 7 \, a e^{3}\right)} x^{2} + {\left(b d^{2} e + 14 \, a d e^{2}\right)} x\right)} \sqrt{e x + d}}{35 \, e^{2}}"," ",0,"2/35*(5*b*e^3*x^3 - 2*b*d^3 + 7*a*d^2*e + (8*b*d*e^2 + 7*a*e^3)*x^2 + (b*d^2*e + 14*a*d*e^2)*x)*sqrt(e*x + d)/e^2","A",0
1678,1,46,0,1.058677," ","integrate((e*x+d)^(1/2)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b e^{2} x^{2} - 2 \, b d^{2} + 5 \, a d e + {\left(b d e + 5 \, a e^{2}\right)} x\right)} \sqrt{e x + d}}{15 \, e^{2}}"," ",0,"2/15*(3*b*e^2*x^2 - 2*b*d^2 + 5*a*d*e + (b*d*e + 5*a*e^2)*x)*sqrt(e*x + d)/e^2","A",0
1679,1,46,0,1.226469," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b e^{2} x^{2} - 2 \, b d^{2} + 3 \, a d e - {\left(b d e - 3 \, a e^{2}\right)} x\right)}}{3 \, \sqrt{e x + d} e^{2}}"," ",0,"2/3*(b*e^2*x^2 - 2*b*d^2 + 3*a*d*e - (b*d*e - 3*a*e^2)*x)/(sqrt(e*x + d)*e^2)","A",0
1680,1,25,0,1.122524," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b e x + 2 \, b d - a e\right)}}{\sqrt{e x + d} e^{2}}"," ",0,"2*(b*e*x + 2*b*d - a*e)/(sqrt(e*x + d)*e^2)","A",0
1681,1,35,0,1.235360," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, b e x + 2 \, b d + a e\right)}}{3 \, {\left(e^{3} x + d e^{2}\right)} \sqrt{e x + d}}"," ",0,"-2/3*(3*b*e*x + 2*b*d + a*e)/((e^3*x + d*e^2)*sqrt(e*x + d))","A",0
1682,1,47,0,1.223520," ","integrate(((b*x+a)^2)^(1/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(5 \, b e x + 2 \, b d + 3 \, a e\right)}}{15 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)} \sqrt{e x + d}}"," ",0,"-2/15*(5*b*e*x + 2*b*d + 3*a*e)/((e^4*x^2 + 2*d*e^3*x + d^2*e^2)*sqrt(e*x + d))","A",0
1683,1,268,0,1.240840," ","integrate((e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(231 \, b^{3} e^{6} x^{6} - 16 \, b^{3} d^{6} + 104 \, a b^{2} d^{5} e - 286 \, a^{2} b d^{4} e^{2} + 429 \, a^{3} d^{3} e^{3} + 63 \, {\left(9 \, b^{3} d e^{5} + 13 \, a b^{2} e^{6}\right)} x^{5} + 7 \, {\left(53 \, b^{3} d^{2} e^{4} + 299 \, a b^{2} d e^{5} + 143 \, a^{2} b e^{6}\right)} x^{4} + {\left(5 \, b^{3} d^{3} e^{3} + 1469 \, a b^{2} d^{2} e^{4} + 2717 \, a^{2} b d e^{5} + 429 \, a^{3} e^{6}\right)} x^{3} - 3 \, {\left(2 \, b^{3} d^{4} e^{2} - 13 \, a b^{2} d^{3} e^{3} - 715 \, a^{2} b d^{2} e^{4} - 429 \, a^{3} d e^{5}\right)} x^{2} + {\left(8 \, b^{3} d^{5} e - 52 \, a b^{2} d^{4} e^{2} + 143 \, a^{2} b d^{3} e^{3} + 1287 \, a^{3} d^{2} e^{4}\right)} x\right)} \sqrt{e x + d}}{3003 \, e^{4}}"," ",0,"2/3003*(231*b^3*e^6*x^6 - 16*b^3*d^6 + 104*a*b^2*d^5*e - 286*a^2*b*d^4*e^2 + 429*a^3*d^3*e^3 + 63*(9*b^3*d*e^5 + 13*a*b^2*e^6)*x^5 + 7*(53*b^3*d^2*e^4 + 299*a*b^2*d*e^5 + 143*a^2*b*e^6)*x^4 + (5*b^3*d^3*e^3 + 1469*a*b^2*d^2*e^4 + 2717*a^2*b*d*e^5 + 429*a^3*e^6)*x^3 - 3*(2*b^3*d^4*e^2 - 13*a*b^2*d^3*e^3 - 715*a^2*b*d^2*e^4 - 429*a^3*d*e^5)*x^2 + (8*b^3*d^5*e - 52*a*b^2*d^4*e^2 + 143*a^2*b*d^3*e^3 + 1287*a^3*d^2*e^4)*x)*sqrt(e*x + d)/e^4","A",0
1684,1,216,0,1.187689," ","integrate((e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(105 \, b^{3} e^{5} x^{5} - 16 \, b^{3} d^{5} + 88 \, a b^{2} d^{4} e - 198 \, a^{2} b d^{3} e^{2} + 231 \, a^{3} d^{2} e^{3} + 35 \, {\left(4 \, b^{3} d e^{4} + 11 \, a b^{2} e^{5}\right)} x^{4} + 5 \, {\left(b^{3} d^{2} e^{3} + 110 \, a b^{2} d e^{4} + 99 \, a^{2} b e^{5}\right)} x^{3} - 3 \, {\left(2 \, b^{3} d^{3} e^{2} - 11 \, a b^{2} d^{2} e^{3} - 264 \, a^{2} b d e^{4} - 77 \, a^{3} e^{5}\right)} x^{2} + {\left(8 \, b^{3} d^{4} e - 44 \, a b^{2} d^{3} e^{2} + 99 \, a^{2} b d^{2} e^{3} + 462 \, a^{3} d e^{4}\right)} x\right)} \sqrt{e x + d}}{1155 \, e^{4}}"," ",0,"2/1155*(105*b^3*e^5*x^5 - 16*b^3*d^5 + 88*a*b^2*d^4*e - 198*a^2*b*d^3*e^2 + 231*a^3*d^2*e^3 + 35*(4*b^3*d*e^4 + 11*a*b^2*e^5)*x^4 + 5*(b^3*d^2*e^3 + 110*a*b^2*d*e^4 + 99*a^2*b*e^5)*x^3 - 3*(2*b^3*d^3*e^2 - 11*a*b^2*d^2*e^3 - 264*a^2*b*d*e^4 - 77*a^3*e^5)*x^2 + (8*b^3*d^4*e - 44*a*b^2*d^3*e^2 + 99*a^2*b*d^2*e^3 + 462*a^3*d*e^4)*x)*sqrt(e*x + d)/e^4","A",0
1685,1,164,0,1.085913," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, b^{3} e^{4} x^{4} - 16 \, b^{3} d^{4} + 72 \, a b^{2} d^{3} e - 126 \, a^{2} b d^{2} e^{2} + 105 \, a^{3} d e^{3} + 5 \, {\left(b^{3} d e^{3} + 27 \, a b^{2} e^{4}\right)} x^{3} - 3 \, {\left(2 \, b^{3} d^{2} e^{2} - 9 \, a b^{2} d e^{3} - 63 \, a^{2} b e^{4}\right)} x^{2} + {\left(8 \, b^{3} d^{3} e - 36 \, a b^{2} d^{2} e^{2} + 63 \, a^{2} b d e^{3} + 105 \, a^{3} e^{4}\right)} x\right)} \sqrt{e x + d}}{315 \, e^{4}}"," ",0,"2/315*(35*b^3*e^4*x^4 - 16*b^3*d^4 + 72*a*b^2*d^3*e - 126*a^2*b*d^2*e^2 + 105*a^3*d*e^3 + 5*(b^3*d*e^3 + 27*a*b^2*e^4)*x^3 - 3*(2*b^3*d^2*e^2 - 9*a*b^2*d*e^3 - 63*a^2*b*e^4)*x^2 + (8*b^3*d^3*e - 36*a*b^2*d^2*e^2 + 63*a^2*b*d*e^3 + 105*a^3*e^4)*x)*sqrt(e*x + d)/e^4","A",0
1686,1,164,0,1.095701," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, b^{3} e^{4} x^{4} - 16 \, b^{3} d^{4} + 56 \, a b^{2} d^{3} e - 70 \, a^{2} b d^{2} e^{2} + 35 \, a^{3} d e^{3} - {\left(b^{3} d e^{3} - 21 \, a b^{2} e^{4}\right)} x^{3} + {\left(2 \, b^{3} d^{2} e^{2} - 7 \, a b^{2} d e^{3} + 35 \, a^{2} b e^{4}\right)} x^{2} - {\left(8 \, b^{3} d^{3} e - 28 \, a b^{2} d^{2} e^{2} + 35 \, a^{2} b d e^{3} - 35 \, a^{3} e^{4}\right)} x\right)}}{35 \, \sqrt{e x + d} e^{4}}"," ",0,"2/35*(5*b^3*e^4*x^4 - 16*b^3*d^4 + 56*a*b^2*d^3*e - 70*a^2*b*d^2*e^2 + 35*a^3*d*e^3 - (b^3*d*e^3 - 21*a*b^2*e^4)*x^3 + (2*b^3*d^2*e^2 - 7*a*b^2*d*e^3 + 35*a^2*b*e^4)*x^2 - (8*b^3*d^3*e - 28*a*b^2*d^2*e^2 + 35*a^2*b*d*e^3 - 35*a^3*e^4)*x)/(sqrt(e*x + d)*e^4)","A",0
1687,1,114,0,1.143993," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{3} e^{3} x^{3} + 16 \, b^{3} d^{3} - 40 \, a b^{2} d^{2} e + 30 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3} - {\left(2 \, b^{3} d e^{2} - 5 \, a b^{2} e^{3}\right)} x^{2} + {\left(8 \, b^{3} d^{2} e - 20 \, a b^{2} d e^{2} + 15 \, a^{2} b e^{3}\right)} x\right)}}{5 \, \sqrt{e x + d} e^{4}}"," ",0,"2/5*(b^3*e^3*x^3 + 16*b^3*d^3 - 40*a*b^2*d^2*e + 30*a^2*b*d*e^2 - 5*a^3*e^3 - (2*b^3*d*e^2 - 5*a*b^2*e^3)*x^2 + (8*b^3*d^2*e - 20*a*b^2*d*e^2 + 15*a^2*b*e^3)*x)/(sqrt(e*x + d)*e^4)","A",0
1688,1,125,0,1.164464," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{3} e^{3} x^{3} - 16 \, b^{3} d^{3} + 24 \, a b^{2} d^{2} e - 6 \, a^{2} b d e^{2} - a^{3} e^{3} - 3 \, {\left(2 \, b^{3} d e^{2} - 3 \, a b^{2} e^{3}\right)} x^{2} - 3 \, {\left(8 \, b^{3} d^{2} e - 12 \, a b^{2} d e^{2} + 3 \, a^{2} b e^{3}\right)} x\right)}}{3 \, {\left(e^{5} x + d e^{4}\right)} \sqrt{e x + d}}"," ",0,"2/3*(b^3*e^3*x^3 - 16*b^3*d^3 + 24*a*b^2*d^2*e - 6*a^2*b*d*e^2 - a^3*e^3 - 3*(2*b^3*d*e^2 - 3*a*b^2*e^3)*x^2 - 3*(8*b^3*d^2*e - 12*a*b^2*d*e^2 + 3*a^2*b*e^3)*x)/((e^5*x + d*e^4)*sqrt(e*x + d))","A",0
1689,1,137,0,1.234655," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, b^{3} e^{3} x^{3} + 16 \, b^{3} d^{3} - 8 \, a b^{2} d^{2} e - 2 \, a^{2} b d e^{2} - a^{3} e^{3} + 15 \, {\left(2 \, b^{3} d e^{2} - a b^{2} e^{3}\right)} x^{2} + 5 \, {\left(8 \, b^{3} d^{2} e - 4 \, a b^{2} d e^{2} - a^{2} b e^{3}\right)} x\right)}}{5 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)} \sqrt{e x + d}}"," ",0,"2/5*(5*b^3*e^3*x^3 + 16*b^3*d^3 - 8*a*b^2*d^2*e - 2*a^2*b*d*e^2 - a^3*e^3 + 15*(2*b^3*d*e^2 - a*b^2*e^3)*x^2 + 5*(8*b^3*d^2*e - 4*a*b^2*d*e^2 - a^2*b*e^3)*x)/((e^6*x^2 + 2*d*e^5*x + d^2*e^4)*sqrt(e*x + d))","A",0
1690,1,147,0,1.157047," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(35 \, b^{3} e^{3} x^{3} + 16 \, b^{3} d^{3} + 8 \, a b^{2} d^{2} e + 6 \, a^{2} b d e^{2} + 5 \, a^{3} e^{3} + 35 \, {\left(2 \, b^{3} d e^{2} + a b^{2} e^{3}\right)} x^{2} + 7 \, {\left(8 \, b^{3} d^{2} e + 4 \, a b^{2} d e^{2} + 3 \, a^{2} b e^{3}\right)} x\right)}}{35 \, {\left(e^{7} x^{3} + 3 \, d e^{6} x^{2} + 3 \, d^{2} e^{5} x + d^{3} e^{4}\right)} \sqrt{e x + d}}"," ",0,"-2/35*(35*b^3*e^3*x^3 + 16*b^3*d^3 + 8*a*b^2*d^2*e + 6*a^2*b*d*e^2 + 5*a^3*e^3 + 35*(2*b^3*d*e^2 + a*b^2*e^3)*x^2 + 7*(8*b^3*d^2*e + 4*a*b^2*d*e^2 + 3*a^2*b*e^3)*x)/((e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4)*sqrt(e*x + d))","A",0
1691,1,159,0,1.337711," ","integrate((b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(105 \, b^{3} e^{3} x^{3} + 16 \, b^{3} d^{3} + 24 \, a b^{2} d^{2} e + 30 \, a^{2} b d e^{2} + 35 \, a^{3} e^{3} + 63 \, {\left(2 \, b^{3} d e^{2} + 3 \, a b^{2} e^{3}\right)} x^{2} + 9 \, {\left(8 \, b^{3} d^{2} e + 12 \, a b^{2} d e^{2} + 15 \, a^{2} b e^{3}\right)} x\right)}}{315 \, {\left(e^{8} x^{4} + 4 \, d e^{7} x^{3} + 6 \, d^{2} e^{6} x^{2} + 4 \, d^{3} e^{5} x + d^{4} e^{4}\right)} \sqrt{e x + d}}"," ",0,"-2/315*(105*b^3*e^3*x^3 + 16*b^3*d^3 + 24*a*b^2*d^2*e + 30*a^2*b*d*e^2 + 35*a^3*e^3 + 63*(2*b^3*d*e^2 + 3*a*b^2*e^3)*x^2 + 9*(8*b^3*d^2*e + 12*a*b^2*d*e^2 + 15*a^2*b*e^3)*x)/((e^8*x^4 + 4*d*e^7*x^3 + 6*d^2*e^6*x^2 + 4*d^3*e^5*x + d^4*e^4)*sqrt(e*x + d))","A",0
1692,1,497,0,1.190661," ","integrate((e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(9009 \, b^{5} e^{8} x^{8} - 256 \, b^{5} d^{8} + 2176 \, a b^{4} d^{7} e - 8160 \, a^{2} b^{3} d^{6} e^{2} + 17680 \, a^{3} b^{2} d^{5} e^{3} - 24310 \, a^{4} b d^{4} e^{4} + 21879 \, a^{5} d^{3} e^{5} + 3003 \, {\left(7 \, b^{5} d e^{7} + 17 \, a b^{4} e^{8}\right)} x^{7} + 231 \, {\left(55 \, b^{5} d^{2} e^{6} + 527 \, a b^{4} d e^{7} + 510 \, a^{2} b^{3} e^{8}\right)} x^{6} + 63 \, {\left(b^{5} d^{3} e^{5} + 1207 \, a b^{4} d^{2} e^{6} + 4590 \, a^{2} b^{3} d e^{7} + 2210 \, a^{3} b^{2} e^{8}\right)} x^{5} - 35 \, {\left(2 \, b^{5} d^{4} e^{4} - 17 \, a b^{4} d^{3} e^{5} - 5406 \, a^{2} b^{3} d^{2} e^{6} - 10166 \, a^{3} b^{2} d e^{7} - 2431 \, a^{4} b e^{8}\right)} x^{4} + {\left(80 \, b^{5} d^{5} e^{3} - 680 \, a b^{4} d^{4} e^{4} + 2550 \, a^{2} b^{3} d^{3} e^{5} + 249730 \, a^{3} b^{2} d^{2} e^{6} + 230945 \, a^{4} b d e^{7} + 21879 \, a^{5} e^{8}\right)} x^{3} - 3 \, {\left(32 \, b^{5} d^{6} e^{2} - 272 \, a b^{4} d^{5} e^{3} + 1020 \, a^{2} b^{3} d^{4} e^{4} - 2210 \, a^{3} b^{2} d^{3} e^{5} - 60775 \, a^{4} b d^{2} e^{6} - 21879 \, a^{5} d e^{7}\right)} x^{2} + {\left(128 \, b^{5} d^{7} e - 1088 \, a b^{4} d^{6} e^{2} + 4080 \, a^{2} b^{3} d^{5} e^{3} - 8840 \, a^{3} b^{2} d^{4} e^{4} + 12155 \, a^{4} b d^{3} e^{5} + 65637 \, a^{5} d^{2} e^{6}\right)} x\right)} \sqrt{e x + d}}{153153 \, e^{6}}"," ",0,"2/153153*(9009*b^5*e^8*x^8 - 256*b^5*d^8 + 2176*a*b^4*d^7*e - 8160*a^2*b^3*d^6*e^2 + 17680*a^3*b^2*d^5*e^3 - 24310*a^4*b*d^4*e^4 + 21879*a^5*d^3*e^5 + 3003*(7*b^5*d*e^7 + 17*a*b^4*e^8)*x^7 + 231*(55*b^5*d^2*e^6 + 527*a*b^4*d*e^7 + 510*a^2*b^3*e^8)*x^6 + 63*(b^5*d^3*e^5 + 1207*a*b^4*d^2*e^6 + 4590*a^2*b^3*d*e^7 + 2210*a^3*b^2*e^8)*x^5 - 35*(2*b^5*d^4*e^4 - 17*a*b^4*d^3*e^5 - 5406*a^2*b^3*d^2*e^6 - 10166*a^3*b^2*d*e^7 - 2431*a^4*b*e^8)*x^4 + (80*b^5*d^5*e^3 - 680*a*b^4*d^4*e^4 + 2550*a^2*b^3*d^3*e^5 + 249730*a^3*b^2*d^2*e^6 + 230945*a^4*b*d*e^7 + 21879*a^5*e^8)*x^3 - 3*(32*b^5*d^6*e^2 - 272*a*b^4*d^5*e^3 + 1020*a^2*b^3*d^4*e^4 - 2210*a^3*b^2*d^3*e^5 - 60775*a^4*b*d^2*e^6 - 21879*a^5*d*e^7)*x^2 + (128*b^5*d^7*e - 1088*a*b^4*d^6*e^2 + 4080*a^2*b^3*d^5*e^3 - 8840*a^3*b^2*d^4*e^4 + 12155*a^4*b*d^3*e^5 + 65637*a^5*d^2*e^6)*x)*sqrt(e*x + d)/e^6","B",0
1693,1,418,0,1.163443," ","integrate((e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, b^{5} e^{7} x^{7} - 256 \, b^{5} d^{7} + 1920 \, a b^{4} d^{6} e - 6240 \, a^{2} b^{3} d^{5} e^{2} + 11440 \, a^{3} b^{2} d^{4} e^{3} - 12870 \, a^{4} b d^{3} e^{4} + 9009 \, a^{5} d^{2} e^{5} + 231 \, {\left(16 \, b^{5} d e^{6} + 75 \, a b^{4} e^{7}\right)} x^{6} + 63 \, {\left(b^{5} d^{2} e^{5} + 350 \, a b^{4} d e^{6} + 650 \, a^{2} b^{3} e^{7}\right)} x^{5} - 35 \, {\left(2 \, b^{5} d^{3} e^{4} - 15 \, a b^{4} d^{2} e^{5} - 1560 \, a^{2} b^{3} d e^{6} - 1430 \, a^{3} b^{2} e^{7}\right)} x^{4} + 5 \, {\left(16 \, b^{5} d^{4} e^{3} - 120 \, a b^{4} d^{3} e^{4} + 390 \, a^{2} b^{3} d^{2} e^{5} + 14300 \, a^{3} b^{2} d e^{6} + 6435 \, a^{4} b e^{7}\right)} x^{3} - 3 \, {\left(32 \, b^{5} d^{5} e^{2} - 240 \, a b^{4} d^{4} e^{3} + 780 \, a^{2} b^{3} d^{3} e^{4} - 1430 \, a^{3} b^{2} d^{2} e^{5} - 17160 \, a^{4} b d e^{6} - 3003 \, a^{5} e^{7}\right)} x^{2} + {\left(128 \, b^{5} d^{6} e - 960 \, a b^{4} d^{5} e^{2} + 3120 \, a^{2} b^{3} d^{4} e^{3} - 5720 \, a^{3} b^{2} d^{3} e^{4} + 6435 \, a^{4} b d^{2} e^{5} + 18018 \, a^{5} d e^{6}\right)} x\right)} \sqrt{e x + d}}{45045 \, e^{6}}"," ",0,"2/45045*(3003*b^5*e^7*x^7 - 256*b^5*d^7 + 1920*a*b^4*d^6*e - 6240*a^2*b^3*d^5*e^2 + 11440*a^3*b^2*d^4*e^3 - 12870*a^4*b*d^3*e^4 + 9009*a^5*d^2*e^5 + 231*(16*b^5*d*e^6 + 75*a*b^4*e^7)*x^6 + 63*(b^5*d^2*e^5 + 350*a*b^4*d*e^6 + 650*a^2*b^3*e^7)*x^5 - 35*(2*b^5*d^3*e^4 - 15*a*b^4*d^2*e^5 - 1560*a^2*b^3*d*e^6 - 1430*a^3*b^2*e^7)*x^4 + 5*(16*b^5*d^4*e^3 - 120*a*b^4*d^3*e^4 + 390*a^2*b^3*d^2*e^5 + 14300*a^3*b^2*d*e^6 + 6435*a^4*b*e^7)*x^3 - 3*(32*b^5*d^5*e^2 - 240*a*b^4*d^4*e^3 + 780*a^2*b^3*d^3*e^4 - 1430*a^3*b^2*d^2*e^5 - 17160*a^4*b*d*e^6 - 3003*a^5*e^7)*x^2 + (128*b^5*d^6*e - 960*a*b^4*d^5*e^2 + 3120*a^2*b^3*d^4*e^3 - 5720*a^3*b^2*d^3*e^4 + 6435*a^4*b*d^2*e^5 + 18018*a^5*d*e^6)*x)*sqrt(e*x + d)/e^6","A",0
1694,1,338,0,1.159522," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(693 \, b^{5} e^{6} x^{6} - 256 \, b^{5} d^{6} + 1664 \, a b^{4} d^{5} e - 4576 \, a^{2} b^{3} d^{4} e^{2} + 6864 \, a^{3} b^{2} d^{3} e^{3} - 6006 \, a^{4} b d^{2} e^{4} + 3003 \, a^{5} d e^{5} + 63 \, {\left(b^{5} d e^{5} + 65 \, a b^{4} e^{6}\right)} x^{5} - 35 \, {\left(2 \, b^{5} d^{2} e^{4} - 13 \, a b^{4} d e^{5} - 286 \, a^{2} b^{3} e^{6}\right)} x^{4} + 10 \, {\left(8 \, b^{5} d^{3} e^{3} - 52 \, a b^{4} d^{2} e^{4} + 143 \, a^{2} b^{3} d e^{5} + 1287 \, a^{3} b^{2} e^{6}\right)} x^{3} - 3 \, {\left(32 \, b^{5} d^{4} e^{2} - 208 \, a b^{4} d^{3} e^{3} + 572 \, a^{2} b^{3} d^{2} e^{4} - 858 \, a^{3} b^{2} d e^{5} - 3003 \, a^{4} b e^{6}\right)} x^{2} + {\left(128 \, b^{5} d^{5} e - 832 \, a b^{4} d^{4} e^{2} + 2288 \, a^{2} b^{3} d^{3} e^{3} - 3432 \, a^{3} b^{2} d^{2} e^{4} + 3003 \, a^{4} b d e^{5} + 3003 \, a^{5} e^{6}\right)} x\right)} \sqrt{e x + d}}{9009 \, e^{6}}"," ",0,"2/9009*(693*b^5*e^6*x^6 - 256*b^5*d^6 + 1664*a*b^4*d^5*e - 4576*a^2*b^3*d^4*e^2 + 6864*a^3*b^2*d^3*e^3 - 6006*a^4*b*d^2*e^4 + 3003*a^5*d*e^5 + 63*(b^5*d*e^5 + 65*a*b^4*e^6)*x^5 - 35*(2*b^5*d^2*e^4 - 13*a*b^4*d*e^5 - 286*a^2*b^3*e^6)*x^4 + 10*(8*b^5*d^3*e^3 - 52*a*b^4*d^2*e^4 + 143*a^2*b^3*d*e^5 + 1287*a^3*b^2*e^6)*x^3 - 3*(32*b^5*d^4*e^2 - 208*a*b^4*d^3*e^3 + 572*a^2*b^3*d^2*e^4 - 858*a^3*b^2*d*e^5 - 3003*a^4*b*e^6)*x^2 + (128*b^5*d^5*e - 832*a*b^4*d^4*e^2 + 2288*a^2*b^3*d^3*e^3 - 3432*a^3*b^2*d^2*e^4 + 3003*a^4*b*d*e^5 + 3003*a^5*e^6)*x)*sqrt(e*x + d)/e^6","A",0
1695,1,338,0,1.210802," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, b^{5} e^{6} x^{6} - 256 \, b^{5} d^{6} + 1408 \, a b^{4} d^{5} e - 3168 \, a^{2} b^{3} d^{4} e^{2} + 3696 \, a^{3} b^{2} d^{3} e^{3} - 2310 \, a^{4} b d^{2} e^{4} + 693 \, a^{5} d e^{5} - 7 \, {\left(b^{5} d e^{5} - 55 \, a b^{4} e^{6}\right)} x^{5} + 5 \, {\left(2 \, b^{5} d^{2} e^{4} - 11 \, a b^{4} d e^{5} + 198 \, a^{2} b^{3} e^{6}\right)} x^{4} - 2 \, {\left(8 \, b^{5} d^{3} e^{3} - 44 \, a b^{4} d^{2} e^{4} + 99 \, a^{2} b^{3} d e^{5} - 693 \, a^{3} b^{2} e^{6}\right)} x^{3} + {\left(32 \, b^{5} d^{4} e^{2} - 176 \, a b^{4} d^{3} e^{3} + 396 \, a^{2} b^{3} d^{2} e^{4} - 462 \, a^{3} b^{2} d e^{5} + 1155 \, a^{4} b e^{6}\right)} x^{2} - {\left(128 \, b^{5} d^{5} e - 704 \, a b^{4} d^{4} e^{2} + 1584 \, a^{2} b^{3} d^{3} e^{3} - 1848 \, a^{3} b^{2} d^{2} e^{4} + 1155 \, a^{4} b d e^{5} - 693 \, a^{5} e^{6}\right)} x\right)}}{693 \, \sqrt{e x + d} e^{6}}"," ",0,"2/693*(63*b^5*e^6*x^6 - 256*b^5*d^6 + 1408*a*b^4*d^5*e - 3168*a^2*b^3*d^4*e^2 + 3696*a^3*b^2*d^3*e^3 - 2310*a^4*b*d^2*e^4 + 693*a^5*d*e^5 - 7*(b^5*d*e^5 - 55*a*b^4*e^6)*x^5 + 5*(2*b^5*d^2*e^4 - 11*a*b^4*d*e^5 + 198*a^2*b^3*e^6)*x^4 - 2*(8*b^5*d^3*e^3 - 44*a*b^4*d^2*e^4 + 99*a^2*b^3*d*e^5 - 693*a^3*b^2*e^6)*x^3 + (32*b^5*d^4*e^2 - 176*a*b^4*d^3*e^3 + 396*a^2*b^3*d^2*e^4 - 462*a^3*b^2*d*e^5 + 1155*a^4*b*e^6)*x^2 - (128*b^5*d^5*e - 704*a*b^4*d^4*e^2 + 1584*a^2*b^3*d^3*e^3 - 1848*a^3*b^2*d^2*e^4 + 1155*a^4*b*d*e^5 - 693*a^5*e^6)*x)/(sqrt(e*x + d)*e^6)","A",0
1696,1,261,0,1.192266," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, b^{5} e^{5} x^{5} + 256 \, b^{5} d^{5} - 1152 \, a b^{4} d^{4} e + 2016 \, a^{2} b^{3} d^{3} e^{2} - 1680 \, a^{3} b^{2} d^{2} e^{3} + 630 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5} - 5 \, {\left(2 \, b^{5} d e^{4} - 9 \, a b^{4} e^{5}\right)} x^{4} + 2 \, {\left(8 \, b^{5} d^{2} e^{3} - 36 \, a b^{4} d e^{4} + 63 \, a^{2} b^{3} e^{5}\right)} x^{3} - 2 \, {\left(16 \, b^{5} d^{3} e^{2} - 72 \, a b^{4} d^{2} e^{3} + 126 \, a^{2} b^{3} d e^{4} - 105 \, a^{3} b^{2} e^{5}\right)} x^{2} + {\left(128 \, b^{5} d^{4} e - 576 \, a b^{4} d^{3} e^{2} + 1008 \, a^{2} b^{3} d^{2} e^{3} - 840 \, a^{3} b^{2} d e^{4} + 315 \, a^{4} b e^{5}\right)} x\right)}}{63 \, \sqrt{e x + d} e^{6}}"," ",0,"2/63*(7*b^5*e^5*x^5 + 256*b^5*d^5 - 1152*a*b^4*d^4*e + 2016*a^2*b^3*d^3*e^2 - 1680*a^3*b^2*d^2*e^3 + 630*a^4*b*d*e^4 - 63*a^5*e^5 - 5*(2*b^5*d*e^4 - 9*a*b^4*e^5)*x^4 + 2*(8*b^5*d^2*e^3 - 36*a*b^4*d*e^4 + 63*a^2*b^3*e^5)*x^3 - 2*(16*b^5*d^3*e^2 - 72*a*b^4*d^2*e^3 + 126*a^2*b^3*d*e^4 - 105*a^3*b^2*e^5)*x^2 + (128*b^5*d^4*e - 576*a*b^4*d^3*e^2 + 1008*a^2*b^3*d^2*e^3 - 840*a^3*b^2*d*e^4 + 315*a^4*b*e^5)*x)/(sqrt(e*x + d)*e^6)","A",0
1697,1,272,0,1.300815," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b^{5} e^{5} x^{5} - 256 \, b^{5} d^{5} + 896 \, a b^{4} d^{4} e - 1120 \, a^{2} b^{3} d^{3} e^{2} + 560 \, a^{3} b^{2} d^{2} e^{3} - 70 \, a^{4} b d e^{4} - 7 \, a^{5} e^{5} - 3 \, {\left(2 \, b^{5} d e^{4} - 7 \, a b^{4} e^{5}\right)} x^{4} + 2 \, {\left(8 \, b^{5} d^{2} e^{3} - 28 \, a b^{4} d e^{4} + 35 \, a^{2} b^{3} e^{5}\right)} x^{3} - 6 \, {\left(16 \, b^{5} d^{3} e^{2} - 56 \, a b^{4} d^{2} e^{3} + 70 \, a^{2} b^{3} d e^{4} - 35 \, a^{3} b^{2} e^{5}\right)} x^{2} - 3 \, {\left(128 \, b^{5} d^{4} e - 448 \, a b^{4} d^{3} e^{2} + 560 \, a^{2} b^{3} d^{2} e^{3} - 280 \, a^{3} b^{2} d e^{4} + 35 \, a^{4} b e^{5}\right)} x\right)}}{21 \, {\left(e^{7} x + d e^{6}\right)} \sqrt{e x + d}}"," ",0,"2/21*(3*b^5*e^5*x^5 - 256*b^5*d^5 + 896*a*b^4*d^4*e - 1120*a^2*b^3*d^3*e^2 + 560*a^3*b^2*d^2*e^3 - 70*a^4*b*d*e^4 - 7*a^5*e^5 - 3*(2*b^5*d*e^4 - 7*a*b^4*e^5)*x^4 + 2*(8*b^5*d^2*e^3 - 28*a*b^4*d*e^4 + 35*a^2*b^3*e^5)*x^3 - 6*(16*b^5*d^3*e^2 - 56*a*b^4*d^2*e^3 + 70*a^2*b^3*d*e^4 - 35*a^3*b^2*e^5)*x^2 - 3*(128*b^5*d^4*e - 448*a*b^4*d^3*e^2 + 560*a^2*b^3*d^2*e^3 - 280*a^3*b^2*d*e^4 + 35*a^4*b*e^5)*x)/((e^7*x + d*e^6)*sqrt(e*x + d))","A",0
1698,1,283,0,1.223897," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b^{5} e^{5} x^{5} + 256 \, b^{5} d^{5} - 640 \, a b^{4} d^{4} e + 480 \, a^{2} b^{3} d^{3} e^{2} - 80 \, a^{3} b^{2} d^{2} e^{3} - 10 \, a^{4} b d e^{4} - 3 \, a^{5} e^{5} - 5 \, {\left(2 \, b^{5} d e^{4} - 5 \, a b^{4} e^{5}\right)} x^{4} + 10 \, {\left(8 \, b^{5} d^{2} e^{3} - 20 \, a b^{4} d e^{4} + 15 \, a^{2} b^{3} e^{5}\right)} x^{3} + 30 \, {\left(16 \, b^{5} d^{3} e^{2} - 40 \, a b^{4} d^{2} e^{3} + 30 \, a^{2} b^{3} d e^{4} - 5 \, a^{3} b^{2} e^{5}\right)} x^{2} + 5 \, {\left(128 \, b^{5} d^{4} e - 320 \, a b^{4} d^{3} e^{2} + 240 \, a^{2} b^{3} d^{2} e^{3} - 40 \, a^{3} b^{2} d e^{4} - 5 \, a^{4} b e^{5}\right)} x\right)}}{15 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)} \sqrt{e x + d}}"," ",0,"2/15*(3*b^5*e^5*x^5 + 256*b^5*d^5 - 640*a*b^4*d^4*e + 480*a^2*b^3*d^3*e^2 - 80*a^3*b^2*d^2*e^3 - 10*a^4*b*d*e^4 - 3*a^5*e^5 - 5*(2*b^5*d*e^4 - 5*a*b^4*e^5)*x^4 + 10*(8*b^5*d^2*e^3 - 20*a*b^4*d*e^4 + 15*a^2*b^3*e^5)*x^3 + 30*(16*b^5*d^3*e^2 - 40*a*b^4*d^2*e^3 + 30*a^2*b^3*d*e^4 - 5*a^3*b^2*e^5)*x^2 + 5*(128*b^5*d^4*e - 320*a*b^4*d^3*e^2 + 240*a^2*b^3*d^2*e^3 - 40*a^3*b^2*d*e^4 - 5*a^4*b*e^5)*x)/((e^8*x^2 + 2*d*e^7*x + d^2*e^6)*sqrt(e*x + d))","A",0
1699,1,293,0,1.424425," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, b^{5} e^{5} x^{5} - 256 \, b^{5} d^{5} + 384 \, a b^{4} d^{4} e - 96 \, a^{2} b^{3} d^{3} e^{2} - 16 \, a^{3} b^{2} d^{2} e^{3} - 6 \, a^{4} b d e^{4} - 3 \, a^{5} e^{5} - 35 \, {\left(2 \, b^{5} d e^{4} - 3 \, a b^{4} e^{5}\right)} x^{4} - 70 \, {\left(8 \, b^{5} d^{2} e^{3} - 12 \, a b^{4} d e^{4} + 3 \, a^{2} b^{3} e^{5}\right)} x^{3} - 70 \, {\left(16 \, b^{5} d^{3} e^{2} - 24 \, a b^{4} d^{2} e^{3} + 6 \, a^{2} b^{3} d e^{4} + a^{3} b^{2} e^{5}\right)} x^{2} - 7 \, {\left(128 \, b^{5} d^{4} e - 192 \, a b^{4} d^{3} e^{2} + 48 \, a^{2} b^{3} d^{2} e^{3} + 8 \, a^{3} b^{2} d e^{4} + 3 \, a^{4} b e^{5}\right)} x\right)}}{21 \, {\left(e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}\right)} \sqrt{e x + d}}"," ",0,"2/21*(7*b^5*e^5*x^5 - 256*b^5*d^5 + 384*a*b^4*d^4*e - 96*a^2*b^3*d^3*e^2 - 16*a^3*b^2*d^2*e^3 - 6*a^4*b*d*e^4 - 3*a^5*e^5 - 35*(2*b^5*d*e^4 - 3*a*b^4*e^5)*x^4 - 70*(8*b^5*d^2*e^3 - 12*a*b^4*d*e^4 + 3*a^2*b^3*e^5)*x^3 - 70*(16*b^5*d^3*e^2 - 24*a*b^4*d^2*e^3 + 6*a^2*b^3*d*e^4 + a^3*b^2*e^5)*x^2 - 7*(128*b^5*d^4*e - 192*a*b^4*d^3*e^2 + 48*a^2*b^3*d^2*e^3 + 8*a^3*b^2*d*e^4 + 3*a^4*b*e^5)*x)/((e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6)*sqrt(e*x + d))","A",0
1700,1,305,0,1.338175," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, b^{5} e^{5} x^{5} + 256 \, b^{5} d^{5} - 128 \, a b^{4} d^{4} e - 32 \, a^{2} b^{3} d^{3} e^{2} - 16 \, a^{3} b^{2} d^{2} e^{3} - 10 \, a^{4} b d e^{4} - 7 \, a^{5} e^{5} + 315 \, {\left(2 \, b^{5} d e^{4} - a b^{4} e^{5}\right)} x^{4} + 210 \, {\left(8 \, b^{5} d^{2} e^{3} - 4 \, a b^{4} d e^{4} - a^{2} b^{3} e^{5}\right)} x^{3} + 126 \, {\left(16 \, b^{5} d^{3} e^{2} - 8 \, a b^{4} d^{2} e^{3} - 2 \, a^{2} b^{3} d e^{4} - a^{3} b^{2} e^{5}\right)} x^{2} + 9 \, {\left(128 \, b^{5} d^{4} e - 64 \, a b^{4} d^{3} e^{2} - 16 \, a^{2} b^{3} d^{2} e^{3} - 8 \, a^{3} b^{2} d e^{4} - 5 \, a^{4} b e^{5}\right)} x\right)}}{63 \, {\left(e^{10} x^{4} + 4 \, d e^{9} x^{3} + 6 \, d^{2} e^{8} x^{2} + 4 \, d^{3} e^{7} x + d^{4} e^{6}\right)} \sqrt{e x + d}}"," ",0,"2/63*(63*b^5*e^5*x^5 + 256*b^5*d^5 - 128*a*b^4*d^4*e - 32*a^2*b^3*d^3*e^2 - 16*a^3*b^2*d^2*e^3 - 10*a^4*b*d*e^4 - 7*a^5*e^5 + 315*(2*b^5*d*e^4 - a*b^4*e^5)*x^4 + 210*(8*b^5*d^2*e^3 - 4*a*b^4*d*e^4 - a^2*b^3*e^5)*x^3 + 126*(16*b^5*d^3*e^2 - 8*a*b^4*d^2*e^3 - 2*a^2*b^3*d*e^4 - a^3*b^2*e^5)*x^2 + 9*(128*b^5*d^4*e - 64*a*b^4*d^3*e^2 - 16*a^2*b^3*d^2*e^3 - 8*a^3*b^2*d*e^4 - 5*a^4*b*e^5)*x)/((e^10*x^4 + 4*d*e^9*x^3 + 6*d^2*e^8*x^2 + 4*d^3*e^7*x + d^4*e^6)*sqrt(e*x + d))","A",0
1701,1,315,0,1.293015," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(13/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(693 \, b^{5} e^{5} x^{5} + 256 \, b^{5} d^{5} + 128 \, a b^{4} d^{4} e + 96 \, a^{2} b^{3} d^{3} e^{2} + 80 \, a^{3} b^{2} d^{2} e^{3} + 70 \, a^{4} b d e^{4} + 63 \, a^{5} e^{5} + 1155 \, {\left(2 \, b^{5} d e^{4} + a b^{4} e^{5}\right)} x^{4} + 462 \, {\left(8 \, b^{5} d^{2} e^{3} + 4 \, a b^{4} d e^{4} + 3 \, a^{2} b^{3} e^{5}\right)} x^{3} + 198 \, {\left(16 \, b^{5} d^{3} e^{2} + 8 \, a b^{4} d^{2} e^{3} + 6 \, a^{2} b^{3} d e^{4} + 5 \, a^{3} b^{2} e^{5}\right)} x^{2} + 11 \, {\left(128 \, b^{5} d^{4} e + 64 \, a b^{4} d^{3} e^{2} + 48 \, a^{2} b^{3} d^{2} e^{3} + 40 \, a^{3} b^{2} d e^{4} + 35 \, a^{4} b e^{5}\right)} x\right)}}{693 \, {\left(e^{11} x^{5} + 5 \, d e^{10} x^{4} + 10 \, d^{2} e^{9} x^{3} + 10 \, d^{3} e^{8} x^{2} + 5 \, d^{4} e^{7} x + d^{5} e^{6}\right)} \sqrt{e x + d}}"," ",0,"-2/693*(693*b^5*e^5*x^5 + 256*b^5*d^5 + 128*a*b^4*d^4*e + 96*a^2*b^3*d^3*e^2 + 80*a^3*b^2*d^2*e^3 + 70*a^4*b*d*e^4 + 63*a^5*e^5 + 1155*(2*b^5*d*e^4 + a*b^4*e^5)*x^4 + 462*(8*b^5*d^2*e^3 + 4*a*b^4*d*e^4 + 3*a^2*b^3*e^5)*x^3 + 198*(16*b^5*d^3*e^2 + 8*a*b^4*d^2*e^3 + 6*a^2*b^3*d*e^4 + 5*a^3*b^2*e^5)*x^2 + 11*(128*b^5*d^4*e + 64*a*b^4*d^3*e^2 + 48*a^2*b^3*d^2*e^3 + 40*a^3*b^2*d*e^4 + 35*a^4*b*e^5)*x)/((e^11*x^5 + 5*d*e^10*x^4 + 10*d^2*e^9*x^3 + 10*d^3*e^8*x^2 + 5*d^4*e^7*x + d^5*e^6)*sqrt(e*x + d))","A",0
1702,1,327,0,1.403827," ","integrate((b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(15/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3003 \, b^{5} e^{5} x^{5} + 256 \, b^{5} d^{5} + 384 \, a b^{4} d^{4} e + 480 \, a^{2} b^{3} d^{3} e^{2} + 560 \, a^{3} b^{2} d^{2} e^{3} + 630 \, a^{4} b d e^{4} + 693 \, a^{5} e^{5} + 3003 \, {\left(2 \, b^{5} d e^{4} + 3 \, a b^{4} e^{5}\right)} x^{4} + 858 \, {\left(8 \, b^{5} d^{2} e^{3} + 12 \, a b^{4} d e^{4} + 15 \, a^{2} b^{3} e^{5}\right)} x^{3} + 286 \, {\left(16 \, b^{5} d^{3} e^{2} + 24 \, a b^{4} d^{2} e^{3} + 30 \, a^{2} b^{3} d e^{4} + 35 \, a^{3} b^{2} e^{5}\right)} x^{2} + 13 \, {\left(128 \, b^{5} d^{4} e + 192 \, a b^{4} d^{3} e^{2} + 240 \, a^{2} b^{3} d^{2} e^{3} + 280 \, a^{3} b^{2} d e^{4} + 315 \, a^{4} b e^{5}\right)} x\right)}}{9009 \, {\left(e^{12} x^{6} + 6 \, d e^{11} x^{5} + 15 \, d^{2} e^{10} x^{4} + 20 \, d^{3} e^{9} x^{3} + 15 \, d^{4} e^{8} x^{2} + 6 \, d^{5} e^{7} x + d^{6} e^{6}\right)} \sqrt{e x + d}}"," ",0,"-2/9009*(3003*b^5*e^5*x^5 + 256*b^5*d^5 + 384*a*b^4*d^4*e + 480*a^2*b^3*d^3*e^2 + 560*a^3*b^2*d^2*e^3 + 630*a^4*b*d*e^4 + 693*a^5*e^5 + 3003*(2*b^5*d*e^4 + 3*a*b^4*e^5)*x^4 + 858*(8*b^5*d^2*e^3 + 12*a*b^4*d*e^4 + 15*a^2*b^3*e^5)*x^3 + 286*(16*b^5*d^3*e^2 + 24*a*b^4*d^2*e^3 + 30*a^2*b^3*d*e^4 + 35*a^3*b^2*e^5)*x^2 + 13*(128*b^5*d^4*e + 192*a*b^4*d^3*e^2 + 240*a^2*b^3*d^2*e^3 + 280*a^3*b^2*d*e^4 + 315*a^4*b*e^5)*x)/((e^12*x^6 + 6*d*e^11*x^5 + 15*d^2*e^10*x^4 + 20*d^3*e^9*x^3 + 15*d^4*e^8*x^2 + 6*d^5*e^7*x + d^6*e^6)*sqrt(e*x + d))","A",0
1703,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{\sqrt{{\left(b x + a\right)}^{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/sqrt((b*x + a)^2), x)","F",0
1704,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{\sqrt{{\left(b x + a\right)}^{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/sqrt((b*x + a)^2), x)","F",0
1705,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{{\left(b x + a\right)}^{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/sqrt((b*x + a)^2), x)","F",0
1706,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{{\left(b x + a\right)}^{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/sqrt((b*x + a)^2), x)","F",0
1707,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{{\left(b x + a\right)}^{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/(sqrt((b*x + a)^2)*sqrt(e*x + d)), x)","F",0
1708,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{{\left(b x + a\right)}^{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt((b*x + a)^2)*(e*x + d)^(3/2)), x)","F",0
1709,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{{\left(b x + a\right)}^{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt((b*x + a)^2)*(e*x + d)^(5/2)), x)","F",0
1710,0,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{{\left(b x + a\right)}^{2}} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt((b*x + a)^2)*(e*x + d)^(7/2)), x)","F",0
1711,0,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{9}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(9/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1712,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1713,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1714,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1715,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1716,0,0,0,0.000000," ","integrate(1/(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*sqrt(e*x + d)), x)","F",0
1717,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(e*x + d)^(3/2)), x)","F",0
1718,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(e*x + d)^(5/2)), x)","F",0
1719,0,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(e*x + d)^(7/2)), x)","F",0
1720,0,0,0,0.000000," ","integrate((e*x+d)^(13/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{13}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(13/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1721,0,0,0,0.000000," ","integrate((e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{11}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(11/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1722,0,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{9}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(9/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1723,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1724,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1725,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1726,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1727,0,0,0,0.000000," ","integrate(1/(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*sqrt(e*x + d)), x)","F",0
1728,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(e*x + d)^(3/2)), x)","F",0
1729,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(e*x + d)^(5/2)), x)","F",0
1730,0,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(e*x + d)^(7/2)), x)","F",0
1731,1,818,0,1.524673," ","integrate((e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{6 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a^{5} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{6}}{e {\left(m + 1\right)}} + \frac{15 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a^{4} b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{20 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} a^{3} b^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{15 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} a^{2} b^{4}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{6 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{6} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d e^{5} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{2} e^{4} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{3} e^{3} x^{3} - 60 \, {\left(m^{2} + m\right)} d^{4} e^{2} x^{2} + 120 \, d^{5} e m x - 120 \, d^{6}\right)} {\left(e x + d\right)}^{m} a b^{5}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \frac{{\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d e^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{2} e^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{3} e^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{4} e^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} d^{5} e^{2} x^{2} - 720 \, d^{6} e m x + 720 \, d^{7}\right)} {\left(e x + d\right)}^{m} b^{6}}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} e^{7}}"," ",0,"6*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^5*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^6/(e*(m + 1)) + 15*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^4*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 20*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a^3*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 15*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*a^2*b^4/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 6*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m^2 + 2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*a*b^5/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + ((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*b^6/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7)","B",0
1732,1,392,0,1.189229," ","integrate((e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{4 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a^{3} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{4}}{e {\left(m + 1\right)}} + \frac{6 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a^{2} b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{4 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} a b^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} b^{4}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}}"," ",0,"4*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^3*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^4/(e*(m + 1)) + 6*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^2*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 4*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*b^4/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5)","B",0
1733,1,138,0,1.108241," ","integrate((e*x+d)^m*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{2}}{e {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}}"," ",0,"2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^2/(e*(m + 1)) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3)","A",0
1734,0,0,0,0.000000," ","integrate((e*x+d)^m/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\,{d x}"," ",0,"integrate((e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1735,0,0,0,0.000000," ","integrate((e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2)^2, x)","F",0
1736,0,0,0,0.000000," ","integrate((e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2)^3, x)","F",0
1737,1,792,0,1.269337," ","integrate((e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} b^{5} e^{6} x^{6} - 60 \, {\left(m^{2} + 11 \, m + 30\right)} a^{2} b^{3} d^{4} e^{2} + 20 \, {\left(m^{3} + 15 \, m^{2} + 74 \, m + 120\right)} a^{3} b^{2} d^{3} e^{3} - 5 \, {\left(m^{4} + 18 \, m^{3} + 119 \, m^{2} + 342 \, m + 360\right)} a^{4} b d^{2} e^{4} + {\left(m^{5} + 20 \, m^{4} + 155 \, m^{3} + 580 \, m^{2} + 1044 \, m + 720\right)} a^{5} d e^{5} + 120 \, a b^{4} d^{5} e {\left(m + 6\right)} - 120 \, b^{5} d^{6} + {\left({\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} b^{5} d e^{5} + 5 \, {\left(m^{5} + 16 \, m^{4} + 95 \, m^{3} + 260 \, m^{2} + 324 \, m + 144\right)} a b^{4} e^{6}\right)} x^{5} - 5 \, {\left({\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b^{5} d^{2} e^{4} - {\left(m^{5} + 12 \, m^{4} + 47 \, m^{3} + 72 \, m^{2} + 36 \, m\right)} a b^{4} d e^{5} - 2 \, {\left(m^{5} + 17 \, m^{4} + 107 \, m^{3} + 307 \, m^{2} + 396 \, m + 180\right)} a^{2} b^{3} e^{6}\right)} x^{4} + 10 \, {\left(2 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{5} d^{3} e^{3} - 2 \, {\left(m^{4} + 9 \, m^{3} + 20 \, m^{2} + 12 \, m\right)} a b^{4} d^{2} e^{4} + {\left(m^{5} + 14 \, m^{4} + 65 \, m^{3} + 112 \, m^{2} + 60 \, m\right)} a^{2} b^{3} d e^{5} + {\left(m^{5} + 18 \, m^{4} + 121 \, m^{3} + 372 \, m^{2} + 508 \, m + 240\right)} a^{3} b^{2} e^{6}\right)} x^{3} - 5 \, {\left(12 \, {\left(m^{2} + m\right)} b^{5} d^{4} e^{2} - 12 \, {\left(m^{3} + 7 \, m^{2} + 6 \, m\right)} a b^{4} d^{3} e^{3} + 6 \, {\left(m^{4} + 12 \, m^{3} + 41 \, m^{2} + 30 \, m\right)} a^{2} b^{3} d^{2} e^{4} - 2 \, {\left(m^{5} + 16 \, m^{4} + 89 \, m^{3} + 194 \, m^{2} + 120 \, m\right)} a^{3} b^{2} d e^{5} - {\left(m^{5} + 19 \, m^{4} + 137 \, m^{3} + 461 \, m^{2} + 702 \, m + 360\right)} a^{4} b e^{6}\right)} x^{2} - {\left(120 \, {\left(m^{2} + 6 \, m\right)} a b^{4} d^{4} e^{2} - 60 \, {\left(m^{3} + 11 \, m^{2} + 30 \, m\right)} a^{2} b^{3} d^{3} e^{3} + 20 \, {\left(m^{4} + 15 \, m^{3} + 74 \, m^{2} + 120 \, m\right)} a^{3} b^{2} d^{2} e^{4} - 5 \, {\left(m^{5} + 18 \, m^{4} + 119 \, m^{3} + 342 \, m^{2} + 360 \, m\right)} a^{4} b d e^{5} - {\left(m^{5} + 20 \, m^{4} + 155 \, m^{3} + 580 \, m^{2} + 1044 \, m + 720\right)} a^{5} e^{6} - 120 \, b^{5} d^{5} e m\right)} x\right)} {\left(e x + d\right)}^{m}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}}"," ",0,"((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*b^5*e^6*x^6 - 60*(m^2 + 11*m + 30)*a^2*b^3*d^4*e^2 + 20*(m^3 + 15*m^2 + 74*m + 120)*a^3*b^2*d^3*e^3 - 5*(m^4 + 18*m^3 + 119*m^2 + 342*m + 360)*a^4*b*d^2*e^4 + (m^5 + 20*m^4 + 155*m^3 + 580*m^2 + 1044*m + 720)*a^5*d*e^5 + 120*a*b^4*d^5*e*(m + 6) - 120*b^5*d^6 + ((m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*b^5*d*e^5 + 5*(m^5 + 16*m^4 + 95*m^3 + 260*m^2 + 324*m + 144)*a*b^4*e^6)*x^5 - 5*((m^4 + 6*m^3 + 11*m^2 + 6*m)*b^5*d^2*e^4 - (m^5 + 12*m^4 + 47*m^3 + 72*m^2 + 36*m)*a*b^4*d*e^5 - 2*(m^5 + 17*m^4 + 107*m^3 + 307*m^2 + 396*m + 180)*a^2*b^3*e^6)*x^4 + 10*(2*(m^3 + 3*m^2 + 2*m)*b^5*d^3*e^3 - 2*(m^4 + 9*m^3 + 20*m^2 + 12*m)*a*b^4*d^2*e^4 + (m^5 + 14*m^4 + 65*m^3 + 112*m^2 + 60*m)*a^2*b^3*d*e^5 + (m^5 + 18*m^4 + 121*m^3 + 372*m^2 + 508*m + 240)*a^3*b^2*e^6)*x^3 - 5*(12*(m^2 + m)*b^5*d^4*e^2 - 12*(m^3 + 7*m^2 + 6*m)*a*b^4*d^3*e^3 + 6*(m^4 + 12*m^3 + 41*m^2 + 30*m)*a^2*b^3*d^2*e^4 - 2*(m^5 + 16*m^4 + 89*m^3 + 194*m^2 + 120*m)*a^3*b^2*d*e^5 - (m^5 + 19*m^4 + 137*m^3 + 461*m^2 + 702*m + 360)*a^4*b*e^6)*x^2 - (120*(m^2 + 6*m)*a*b^4*d^4*e^2 - 60*(m^3 + 11*m^2 + 30*m)*a^2*b^3*d^3*e^3 + 20*(m^4 + 15*m^3 + 74*m^2 + 120*m)*a^3*b^2*d^2*e^4 - 5*(m^5 + 18*m^4 + 119*m^3 + 342*m^2 + 360*m)*a^4*b*d*e^5 - (m^5 + 20*m^4 + 155*m^3 + 580*m^2 + 1044*m + 720)*a^5*e^6 - 120*b^5*d^5*e*m)*x)*(e*x + d)^m/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6)","B",0
1738,1,305,0,1.226992," ","integrate((e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{3} e^{4} x^{4} - 3 \, {\left(m^{2} + 7 \, m + 12\right)} a^{2} b d^{2} e^{2} + {\left(m^{3} + 9 \, m^{2} + 26 \, m + 24\right)} a^{3} d e^{3} + 6 \, a b^{2} d^{3} e {\left(m + 4\right)} - 6 \, b^{3} d^{4} + {\left({\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{3} d e^{3} + 3 \, {\left(m^{3} + 7 \, m^{2} + 14 \, m + 8\right)} a b^{2} e^{4}\right)} x^{3} - 3 \, {\left({\left(m^{2} + m\right)} b^{3} d^{2} e^{2} - {\left(m^{3} + 5 \, m^{2} + 4 \, m\right)} a b^{2} d e^{3} - {\left(m^{3} + 8 \, m^{2} + 19 \, m + 12\right)} a^{2} b e^{4}\right)} x^{2} - {\left(6 \, {\left(m^{2} + 4 \, m\right)} a b^{2} d^{2} e^{2} - 3 \, {\left(m^{3} + 7 \, m^{2} + 12 \, m\right)} a^{2} b d e^{3} - {\left(m^{3} + 9 \, m^{2} + 26 \, m + 24\right)} a^{3} e^{4} - 6 \, b^{3} d^{3} e m\right)} x\right)} {\left(e x + d\right)}^{m}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}}"," ",0,"((m^3 + 6*m^2 + 11*m + 6)*b^3*e^4*x^4 - 3*(m^2 + 7*m + 12)*a^2*b*d^2*e^2 + (m^3 + 9*m^2 + 26*m + 24)*a^3*d*e^3 + 6*a*b^2*d^3*e*(m + 4) - 6*b^3*d^4 + ((m^3 + 3*m^2 + 2*m)*b^3*d*e^3 + 3*(m^3 + 7*m^2 + 14*m + 8)*a*b^2*e^4)*x^3 - 3*((m^2 + m)*b^3*d^2*e^2 - (m^3 + 5*m^2 + 4*m)*a*b^2*d*e^3 - (m^3 + 8*m^2 + 19*m + 12)*a^2*b*e^4)*x^2 - (6*(m^2 + 4*m)*a*b^2*d^2*e^2 - 3*(m^3 + 7*m^2 + 12*m)*a^2*b*d*e^3 - (m^3 + 9*m^2 + 26*m + 24)*a^3*e^4 - 6*b^3*d^3*e*m)*x)*(e*x + d)^m/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4)","A",0
1739,1,62,0,1.147160," ","integrate((e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b e^{2} {\left(m + 1\right)} x^{2} + a d e {\left(m + 2\right)} - b d^{2} + {\left(a e^{2} {\left(m + 2\right)} + b d e m\right)} x\right)} {\left(e x + d\right)}^{m}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}}"," ",0,"(b*e^2*(m + 1)*x^2 + a*d*e*(m + 2) - b*d^2 + (a*e^2*(m + 2) + b*d*e*m)*x)*(e*x + d)^m/((m^2 + 3*m + 2)*e^2)","A",0
1740,0,0,0,0.000000," ","integrate((e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/sqrt(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1741,0,0,0,0.000000," ","integrate((e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1742,0,0,0,0.000000," ","integrate((e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1743,0,0,0,0.000000," ","integrate((e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\int {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((b^2*x^2 + 2*a*b*x + a^2)^p*(e*x + d)^m, x)","F",0
1744,1,276,0,1.630455," ","integrate((e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)} {\left(b x + a\right)}^{2 \, p} d^{3}}{b {\left(2 \, p + 1\right)}} + \frac{3 \, {\left(b^{2} {\left(2 \, p + 1\right)} x^{2} + 2 \, a b p x - a^{2}\right)} {\left(b x + a\right)}^{2 \, p} d^{2} e}{2 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} b^{2}} + \frac{3 \, {\left({\left(2 \, p^{2} + 3 \, p + 1\right)} b^{3} x^{3} + {\left(2 \, p^{2} + p\right)} a b^{2} x^{2} - 2 \, a^{2} b p x + a^{3}\right)} {\left(b x + a\right)}^{2 \, p} d e^{2}}{{\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{3}} + \frac{{\left({\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{4} x^{4} + 2 \, {\left(2 \, p^{3} + 3 \, p^{2} + p\right)} a b^{3} x^{3} - 3 \, {\left(2 \, p^{2} + p\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b p x - 3 \, a^{4}\right)} {\left(b x + a\right)}^{2 \, p} e^{3}}{2 \, {\left(4 \, p^{4} + 20 \, p^{3} + 35 \, p^{2} + 25 \, p + 6\right)} b^{4}}"," ",0,"(b*x + a)*(b*x + a)^(2*p)*d^3/(b*(2*p + 1)) + 3/2*(b^2*(2*p + 1)*x^2 + 2*a*b*p*x - a^2)*(b*x + a)^(2*p)*d^2*e/((2*p^2 + 3*p + 1)*b^2) + 3*((2*p^2 + 3*p + 1)*b^3*x^3 + (2*p^2 + p)*a*b^2*x^2 - 2*a^2*b*p*x + a^3)*(b*x + a)^(2*p)*d*e^2/((4*p^3 + 12*p^2 + 11*p + 3)*b^3) + 1/2*((4*p^3 + 12*p^2 + 11*p + 3)*b^4*x^4 + 2*(2*p^3 + 3*p^2 + p)*a*b^3*x^3 - 3*(2*p^2 + p)*a^2*b^2*x^2 + 6*a^3*b*p*x - 3*a^4)*(b*x + a)^(2*p)*e^3/((4*p^4 + 20*p^3 + 35*p^2 + 25*p + 6)*b^4)","A",0
1745,1,157,0,1.300987," ","integrate((e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)} {\left(b x + a\right)}^{2 \, p} d^{2}}{b {\left(2 \, p + 1\right)}} + \frac{{\left(b^{2} {\left(2 \, p + 1\right)} x^{2} + 2 \, a b p x - a^{2}\right)} {\left(b x + a\right)}^{2 \, p} d e}{{\left(2 \, p^{2} + 3 \, p + 1\right)} b^{2}} + \frac{{\left({\left(2 \, p^{2} + 3 \, p + 1\right)} b^{3} x^{3} + {\left(2 \, p^{2} + p\right)} a b^{2} x^{2} - 2 \, a^{2} b p x + a^{3}\right)} {\left(b x + a\right)}^{2 \, p} e^{2}}{{\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{3}}"," ",0,"(b*x + a)*(b*x + a)^(2*p)*d^2/(b*(2*p + 1)) + (b^2*(2*p + 1)*x^2 + 2*a*b*p*x - a^2)*(b*x + a)^(2*p)*d*e/((2*p^2 + 3*p + 1)*b^2) + ((2*p^2 + 3*p + 1)*b^3*x^3 + (2*p^2 + p)*a*b^2*x^2 - 2*a^2*b*p*x + a^3)*(b*x + a)^(2*p)*e^2/((4*p^3 + 12*p^2 + 11*p + 3)*b^3)","A",0
1746,1,78,0,1.201006," ","integrate((e*x+d)*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)} {\left(b x + a\right)}^{2 \, p} d}{b {\left(2 \, p + 1\right)}} + \frac{{\left(b^{2} {\left(2 \, p + 1\right)} x^{2} + 2 \, a b p x - a^{2}\right)} {\left(b x + a\right)}^{2 \, p} e}{2 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} b^{2}}"," ",0,"(b*x + a)*(b*x + a)^(2*p)*d/(b*(2*p + 1)) + 1/2*(b^2*(2*p + 1)*x^2 + 2*a*b*p*x - a^2)*(b*x + a)^(2*p)*e/((2*p^2 + 3*p + 1)*b^2)","A",0
1747,1,25,0,1.083926," ","integrate((b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)} {\left(b x + a\right)}^{2 \, p}}{b {\left(2 \, p + 1\right)}}"," ",0,"(b*x + a)*(b*x + a)^(2*p)/(b*(2*p + 1))","A",0
1748,0,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p}}{e x + d}\,{d x}"," ",0,"integrate((b^2*x^2 + 2*a*b*x + a^2)^p/(e*x + d), x)","F",0
1749,0,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b^2*x^2 + 2*a*b*x + a^2)^p/(e*x + d)^2, x)","F",0
1750,0,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b^2*x^2 + 2*a*b*x + a^2)^p/(e*x + d)^3, x)","F",0
1751,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{\frac{3}{2}} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(b^2*x^2 + 2*a*b*x + a^2)^p, x)","F",0
1752,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\int \sqrt{e x + d} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(b^2*x^2 + 2*a*b*x + a^2)^p, x)","F",0
1753,0,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^p/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((b^2*x^2 + 2*a*b*x + a^2)^p/sqrt(e*x + d), x)","F",0
1754,0,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^p/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b^2*x^2 + 2*a*b*x + a^2)^p/(e*x + d)^(3/2), x)","F",0
1755,0,0,0,0.000000," ","integrate((b^2*x^2+2*a*b*x+a^2)^p/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b^2*x^2 + 2*a*b*x + a^2)^p/(e*x + d)^(5/2), x)","F",0
1756,0,0,0,0.000000," ","integrate((e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^(5+p),x, algorithm=""maxima"")","\int {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p + 5} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((b^2*x^2 + 2*a*b*x + a^2)^(p + 5)*(e*x + d)^m, x)","F",0
1757,0,0,0,0.000000," ","integrate((e*x+d)^(-3-2*p)*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\int {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 3}\,{d x}"," ",0,"integrate((b^2*x^2 + 2*a*b*x + a^2)^p*(e*x + d)^(-2*p - 3), x)","F",0
1758,1,65,0,1.063543," ","integrate((e*x+d)*(4*x^2+12*x+9)^p,x, algorithm=""maxima"")","\frac{{\left(4 \, {\left(2 \, p + 1\right)} x^{2} + 12 \, p x - 9\right)} e {\left(2 \, x + 3\right)}^{2 \, p}}{8 \, {\left(2 \, p^{2} + 3 \, p + 1\right)}} + \frac{d {\left(2 \, x + 3\right)}^{2 \, p} {\left(2 \, x + 3\right)}}{2 \, {\left(2 \, p + 1\right)}}"," ",0,"1/8*(4*(2*p + 1)*x^2 + 12*p*x - 9)*e*(2*x + 3)^(2*p)/(2*p^2 + 3*p + 1) + 1/2*d*(2*x + 3)^(2*p)*(2*x + 3)/(2*p + 1)","A",0
1759,1,96,0,1.158115," ","integrate((b*x+a)^3*(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{1}{6} \, b^{4} d x^{6} + a^{4} c x + \frac{1}{5} \, {\left(b^{4} c + 4 \, a b^{3} d\right)} x^{5} + \frac{1}{2} \, {\left(2 \, a b^{3} c + 3 \, a^{2} b^{2} d\right)} x^{4} + \frac{2}{3} \, {\left(3 \, a^{2} b^{2} c + 2 \, a^{3} b d\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b c + a^{4} d\right)} x^{2}"," ",0,"1/6*b^4*d*x^6 + a^4*c*x + 1/5*(b^4*c + 4*a*b^3*d)*x^5 + 1/2*(2*a*b^3*c + 3*a^2*b^2*d)*x^4 + 2/3*(3*a^2*b^2*c + 2*a^3*b*d)*x^3 + 1/2*(4*a^3*b*c + a^4*d)*x^2","B",0
1760,1,69,0,1.063658," ","integrate((b*x+a)^2*(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{1}{5} \, b^{3} d x^{5} + a^{3} c x + \frac{1}{4} \, {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{4} + {\left(a b^{2} c + a^{2} b d\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b c + a^{3} d\right)} x^{2}"," ",0,"1/5*b^3*d*x^5 + a^3*c*x + 1/4*(b^3*c + 3*a*b^2*d)*x^4 + (a*b^2*c + a^2*b*d)*x^3 + 1/2*(3*a^2*b*c + a^3*d)*x^2","B",0
1761,1,48,0,1.121587," ","integrate((b*x+a)*(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} d x^{4} + a^{2} c x + \frac{1}{3} \, {\left(b^{2} c + 2 \, a b d\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b c + a^{2} d\right)} x^{2}"," ",0,"1/4*b^2*d*x^4 + a^2*c*x + 1/3*(b^2*c + 2*a*b*d)*x^3 + 1/2*(2*a*b*c + a^2*d)*x^2","A",0
1762,1,24,0,1.055766," ","integrate(a*c+(a*d+b*c)*x+b*d*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, b d x^{3} + a c x + \frac{1}{2} \, {\left(b c + a d\right)} x^{2}"," ",0,"1/3*b*d*x^3 + a*c*x + 1/2*(b*c + a*d)*x^2","A",0
1763,1,10,0,1.036843," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, d x^{2} + c x"," ",0,"1/2*d*x^2 + c*x","A",0
1764,1,25,0,1.046158," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{d x}{b} + \frac{{\left(b c - a d\right)} \log\left(b x + a\right)}{b^{2}}"," ",0,"d*x/b + (b*c - a*d)*log(b*x + a)/b^2","A",0
1765,1,35,0,1.076870," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{b c - a d}{b^{3} x + a b^{2}} + \frac{d \log\left(b x + a\right)}{b^{2}}"," ",0,"-(b*c - a*d)/(b^3*x + a*b^2) + d*log(b*x + a)/b^2","A",0
1766,1,38,0,1.183629," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{2 \, b d x + b c + a d}{2 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}"," ",0,"-1/2*(2*b*d*x + b*c + a*d)/(b^4*x^2 + 2*a*b^3*x + a^2*b^2)","A",0
1767,1,50,0,1.110863," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{3 \, b d x + 2 \, b c + a d}{6 \, {\left(b^{5} x^{3} + 3 \, a b^{4} x^{2} + 3 \, a^{2} b^{3} x + a^{3} b^{2}\right)}}"," ",0,"-1/6*(3*b*d*x + 2*b*c + a*d)/(b^5*x^3 + 3*a*b^4*x^2 + 3*a^2*b^3*x + a^3*b^2)","A",0
1768,1,61,0,1.157969," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)/(b*x+a)^6,x, algorithm=""maxima"")","-\frac{4 \, b d x + 3 \, b c + a d}{12 \, {\left(b^{6} x^{4} + 4 \, a b^{5} x^{3} + 6 \, a^{2} b^{4} x^{2} + 4 \, a^{3} b^{3} x + a^{4} b^{2}\right)}}"," ",0,"-1/12*(4*b*d*x + 3*b*c + a*d)/(b^6*x^4 + 4*a*b^5*x^3 + 6*a^2*b^4*x^2 + 4*a^3*b^3*x + a^4*b^2)","A",0
1769,1,197,0,0.977711," ","integrate((b*x+a)^3*(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","\frac{1}{8} \, b^{5} d^{2} x^{8} + a^{5} c^{2} x + \frac{1}{7} \, {\left(2 \, b^{5} c d + 5 \, a b^{4} d^{2}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} c^{2} + 10 \, a b^{4} c d + 10 \, a^{2} b^{3} d^{2}\right)} x^{6} + {\left(a b^{4} c^{2} + 4 \, a^{2} b^{3} c d + 2 \, a^{3} b^{2} d^{2}\right)} x^{5} + \frac{5}{4} \, {\left(2 \, a^{2} b^{3} c^{2} + 4 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, a^{3} b^{2} c^{2} + 10 \, a^{4} b c d + a^{5} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{4} b c^{2} + 2 \, a^{5} c d\right)} x^{2}"," ",0,"1/8*b^5*d^2*x^8 + a^5*c^2*x + 1/7*(2*b^5*c*d + 5*a*b^4*d^2)*x^7 + 1/6*(b^5*c^2 + 10*a*b^4*c*d + 10*a^2*b^3*d^2)*x^6 + (a*b^4*c^2 + 4*a^2*b^3*c*d + 2*a^3*b^2*d^2)*x^5 + 5/4*(2*a^2*b^3*c^2 + 4*a^3*b^2*c*d + a^4*b*d^2)*x^4 + 1/3*(10*a^3*b^2*c^2 + 10*a^4*b*c*d + a^5*d^2)*x^3 + 1/2*(5*a^4*b*c^2 + 2*a^5*c*d)*x^2","B",0
1770,1,156,0,1.003047," ","integrate((b*x+a)^2*(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","\frac{1}{7} \, b^{4} d^{2} x^{7} + a^{4} c^{2} x + \frac{1}{3} \, {\left(b^{4} c d + 2 \, a b^{3} d^{2}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} c^{2} + 8 \, a b^{3} c d + 6 \, a^{2} b^{2} d^{2}\right)} x^{5} + {\left(a b^{3} c^{2} + 3 \, a^{2} b^{2} c d + a^{3} b d^{2}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, a^{2} b^{2} c^{2} + 8 \, a^{3} b c d + a^{4} d^{2}\right)} x^{3} + {\left(2 \, a^{3} b c^{2} + a^{4} c d\right)} x^{2}"," ",0,"1/7*b^4*d^2*x^7 + a^4*c^2*x + 1/3*(b^4*c*d + 2*a*b^3*d^2)*x^6 + 1/5*(b^4*c^2 + 8*a*b^3*c*d + 6*a^2*b^2*d^2)*x^5 + (a*b^3*c^2 + 3*a^2*b^2*c*d + a^3*b*d^2)*x^4 + 1/3*(6*a^2*b^2*c^2 + 8*a^3*b*c*d + a^4*d^2)*x^3 + (2*a^3*b*c^2 + a^4*c*d)*x^2","B",0
1771,1,124,0,1.048357," ","integrate((b*x+a)*(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","\frac{1}{6} \, b^{3} d^{2} x^{6} + a^{3} c^{2} x + \frac{1}{5} \, {\left(2 \, b^{3} c d + 3 \, a b^{2} d^{2}\right)} x^{5} + \frac{1}{4} \, {\left(b^{3} c^{2} + 6 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, a b^{2} c^{2} + 6 \, a^{2} b c d + a^{3} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b c^{2} + 2 \, a^{3} c d\right)} x^{2}"," ",0,"1/6*b^3*d^2*x^6 + a^3*c^2*x + 1/5*(2*b^3*c*d + 3*a*b^2*d^2)*x^5 + 1/4*(b^3*c^2 + 6*a*b^2*c*d + 3*a^2*b*d^2)*x^4 + 1/3*(3*a*b^2*c^2 + 6*a^2*b*c*d + a^3*d^2)*x^3 + 1/2*(3*a^2*b*c^2 + 2*a^3*c*d)*x^2","B",0
1772,1,72,0,0.993273," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","\frac{1}{5} \, b^{2} d^{2} x^{5} + \frac{1}{2} \, {\left(b c + a d\right)} b d x^{4} + a^{2} c^{2} x + \frac{1}{3} \, {\left(b c + a d\right)}^{2} x^{3} + \frac{1}{3} \, {\left(2 \, b d x^{3} + 3 \, {\left(b c + a d\right)} x^{2}\right)} a c"," ",0,"1/5*b^2*d^2*x^5 + 1/2*(b*c + a*d)*b*d*x^4 + a^2*c^2*x + 1/3*(b*c + a*d)^2*x^3 + 1/3*(2*b*d*x^3 + 3*(b*c + a*d)*x^2)*a*c","A",0
1773,1,48,0,1.024000," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, b d^{2} x^{4} + a c^{2} x + \frac{1}{3} \, {\left(2 \, b c d + a d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b c^{2} + 2 \, a c d\right)} x^{2}"," ",0,"1/4*b*d^2*x^4 + a*c^2*x + 1/3*(2*b*c*d + a*d^2)*x^3 + 1/2*(b*c^2 + 2*a*c*d)*x^2","A",0
1774,1,20,0,1.087941," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{3} \, d^{2} x^{3} + c d x^{2} + c^{2} x"," ",0,"1/3*d^2*x^3 + c*d*x^2 + c^2*x","A",0
1775,1,61,0,1.122507," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^3,x, algorithm=""maxima"")","\frac{b d^{2} x^{2} + 2 \, {\left(2 \, b c d - a d^{2}\right)} x}{2 \, b^{2}} + \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left(b x + a\right)}{b^{3}}"," ",0,"1/2*(b*d^2*x^2 + 2*(2*b*c*d - a*d^2)*x)/b^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(b*x + a)/b^3","A",0
1776,1,67,0,0.964870," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^4,x, algorithm=""maxima"")","\frac{d^{2} x}{b^{2}} - \frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{b^{4} x + a b^{3}} + \frac{2 \, {\left(b c d - a d^{2}\right)} \log\left(b x + a\right)}{b^{3}}"," ",0,"d^2*x/b^2 - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b^4*x + a*b^3) + 2*(b*c*d - a*d^2)*log(b*x + a)/b^3","A",0
1777,1,79,0,1.018125," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{b^{2} c^{2} + 2 \, a b c d - 3 \, a^{2} d^{2} + 4 \, {\left(b^{2} c d - a b d^{2}\right)} x}{2 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}} + \frac{d^{2} \log\left(b x + a\right)}{b^{3}}"," ",0,"-1/2*(b^2*c^2 + 2*a*b*c*d - 3*a^2*d^2 + 4*(b^2*c*d - a*b*d^2)*x)/(b^5*x^2 + 2*a*b^4*x + a^2*b^3) + d^2*log(b*x + a)/b^3","A",0
1778,1,84,0,1.057923," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^6,x, algorithm=""maxima"")","-\frac{3 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + a b c d + a^{2} d^{2} + 3 \, {\left(b^{2} c d + a b d^{2}\right)} x}{3 \, {\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}"," ",0,"-1/3*(3*b^2*d^2*x^2 + b^2*c^2 + a*b*c*d + a^2*d^2 + 3*(b^2*c*d + a*b*d^2)*x)/(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + a^3*b^3)","B",0
1779,1,98,0,1.138743," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{6 \, b^{2} d^{2} x^{2} + 3 \, b^{2} c^{2} + 2 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b^{2} c d + a b d^{2}\right)} x}{12 \, {\left(b^{7} x^{4} + 4 \, a b^{6} x^{3} + 6 \, a^{2} b^{5} x^{2} + 4 \, a^{3} b^{4} x + a^{4} b^{3}\right)}}"," ",0,"-1/12*(6*b^2*d^2*x^2 + 3*b^2*c^2 + 2*a*b*c*d + a^2*d^2 + 4*(2*b^2*c*d + a*b*d^2)*x)/(b^7*x^4 + 4*a*b^6*x^3 + 6*a^2*b^5*x^2 + 4*a^3*b^4*x + a^4*b^3)","A",0
1780,1,109,0,1.046000," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^8,x, algorithm=""maxima"")","-\frac{10 \, b^{2} d^{2} x^{2} + 6 \, b^{2} c^{2} + 3 \, a b c d + a^{2} d^{2} + 5 \, {\left(3 \, b^{2} c d + a b d^{2}\right)} x}{30 \, {\left(b^{8} x^{5} + 5 \, a b^{7} x^{4} + 10 \, a^{2} b^{6} x^{3} + 10 \, a^{3} b^{5} x^{2} + 5 \, a^{4} b^{4} x + a^{5} b^{3}\right)}}"," ",0,"-1/30*(10*b^2*d^2*x^2 + 6*b^2*c^2 + 3*a*b*c*d + a^2*d^2 + 5*(3*b^2*c*d + a*b*d^2)*x)/(b^8*x^5 + 5*a*b^7*x^4 + 10*a^2*b^6*x^3 + 10*a^3*b^5*x^2 + 5*a^4*b^4*x + a^5*b^3)","A",0
1781,1,120,0,1.116305," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^9,x, algorithm=""maxima"")","-\frac{15 \, b^{2} d^{2} x^{2} + 10 \, b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2} + 6 \, {\left(4 \, b^{2} c d + a b d^{2}\right)} x}{60 \, {\left(b^{9} x^{6} + 6 \, a b^{8} x^{5} + 15 \, a^{2} b^{7} x^{4} + 20 \, a^{3} b^{6} x^{3} + 15 \, a^{4} b^{5} x^{2} + 6 \, a^{5} b^{4} x + a^{6} b^{3}\right)}}"," ",0,"-1/60*(15*b^2*d^2*x^2 + 10*b^2*c^2 + 4*a*b*c*d + a^2*d^2 + 6*(4*b^2*c*d + a*b*d^2)*x)/(b^9*x^6 + 6*a*b^8*x^5 + 15*a^2*b^7*x^4 + 20*a^3*b^6*x^3 + 15*a^4*b^5*x^2 + 6*a^5*b^4*x + a^6*b^3)","B",0
1782,1,131,0,1.223263," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^2/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{21 \, b^{2} d^{2} x^{2} + 15 \, b^{2} c^{2} + 5 \, a b c d + a^{2} d^{2} + 7 \, {\left(5 \, b^{2} c d + a b d^{2}\right)} x}{105 \, {\left(b^{10} x^{7} + 7 \, a b^{9} x^{6} + 21 \, a^{2} b^{8} x^{5} + 35 \, a^{3} b^{7} x^{4} + 35 \, a^{4} b^{6} x^{3} + 21 \, a^{5} b^{5} x^{2} + 7 \, a^{6} b^{4} x + a^{7} b^{3}\right)}}"," ",0,"-1/105*(21*b^2*d^2*x^2 + 15*b^2*c^2 + 5*a*b*c*d + a^2*d^2 + 7*(5*b^2*c*d + a*b*d^2)*x)/(b^10*x^7 + 7*a*b^9*x^6 + 21*a^2*b^8*x^5 + 35*a^3*b^7*x^4 + 35*a^4*b^6*x^3 + 21*a^5*b^5*x^2 + 7*a^6*b^4*x + a^7*b^3)","B",0
1783,1,327,0,1.103967," ","integrate((b*x+a)^3*(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","\frac{1}{10} \, b^{6} d^{3} x^{10} + a^{6} c^{3} x + \frac{1}{3} \, {\left(b^{6} c d^{2} + 2 \, a b^{5} d^{3}\right)} x^{9} + \frac{3}{8} \, {\left(b^{6} c^{2} d + 6 \, a b^{5} c d^{2} + 5 \, a^{2} b^{4} d^{3}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} c^{3} + 18 \, a b^{5} c^{2} d + 45 \, a^{2} b^{4} c d^{2} + 20 \, a^{3} b^{3} d^{3}\right)} x^{7} + \frac{1}{2} \, {\left(2 \, a b^{5} c^{3} + 15 \, a^{2} b^{4} c^{2} d + 20 \, a^{3} b^{3} c d^{2} + 5 \, a^{4} b^{2} d^{3}\right)} x^{6} + \frac{3}{5} \, {\left(5 \, a^{2} b^{4} c^{3} + 20 \, a^{3} b^{3} c^{2} d + 15 \, a^{4} b^{2} c d^{2} + 2 \, a^{5} b d^{3}\right)} x^{5} + \frac{1}{4} \, {\left(20 \, a^{3} b^{3} c^{3} + 45 \, a^{4} b^{2} c^{2} d + 18 \, a^{5} b c d^{2} + a^{6} d^{3}\right)} x^{4} + {\left(5 \, a^{4} b^{2} c^{3} + 6 \, a^{5} b c^{2} d + a^{6} c d^{2}\right)} x^{3} + \frac{3}{2} \, {\left(2 \, a^{5} b c^{3} + a^{6} c^{2} d\right)} x^{2}"," ",0,"1/10*b^6*d^3*x^10 + a^6*c^3*x + 1/3*(b^6*c*d^2 + 2*a*b^5*d^3)*x^9 + 3/8*(b^6*c^2*d + 6*a*b^5*c*d^2 + 5*a^2*b^4*d^3)*x^8 + 1/7*(b^6*c^3 + 18*a*b^5*c^2*d + 45*a^2*b^4*c*d^2 + 20*a^3*b^3*d^3)*x^7 + 1/2*(2*a*b^5*c^3 + 15*a^2*b^4*c^2*d + 20*a^3*b^3*c*d^2 + 5*a^4*b^2*d^3)*x^6 + 3/5*(5*a^2*b^4*c^3 + 20*a^3*b^3*c^2*d + 15*a^4*b^2*c*d^2 + 2*a^5*b*d^3)*x^5 + 1/4*(20*a^3*b^3*c^3 + 45*a^4*b^2*c^2*d + 18*a^5*b*c*d^2 + a^6*d^3)*x^4 + (5*a^4*b^2*c^3 + 6*a^5*b*c^2*d + a^6*c*d^2)*x^3 + 3/2*(2*a^5*b*c^3 + a^6*c^2*d)*x^2","B",0
1784,1,277,0,1.192676," ","integrate((b*x+a)^2*(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","\frac{1}{9} \, b^{5} d^{3} x^{9} + a^{5} c^{3} x + \frac{1}{8} \, {\left(3 \, b^{5} c d^{2} + 5 \, a b^{4} d^{3}\right)} x^{8} + \frac{1}{7} \, {\left(3 \, b^{5} c^{2} d + 15 \, a b^{4} c d^{2} + 10 \, a^{2} b^{3} d^{3}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} c^{3} + 15 \, a b^{4} c^{2} d + 30 \, a^{2} b^{3} c d^{2} + 10 \, a^{3} b^{2} d^{3}\right)} x^{6} + {\left(a b^{4} c^{3} + 6 \, a^{2} b^{3} c^{2} d + 6 \, a^{3} b^{2} c d^{2} + a^{4} b d^{3}\right)} x^{5} + \frac{1}{4} \, {\left(10 \, a^{2} b^{3} c^{3} + 30 \, a^{3} b^{2} c^{2} d + 15 \, a^{4} b c d^{2} + a^{5} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, a^{3} b^{2} c^{3} + 15 \, a^{4} b c^{2} d + 3 \, a^{5} c d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{4} b c^{3} + 3 \, a^{5} c^{2} d\right)} x^{2}"," ",0,"1/9*b^5*d^3*x^9 + a^5*c^3*x + 1/8*(3*b^5*c*d^2 + 5*a*b^4*d^3)*x^8 + 1/7*(3*b^5*c^2*d + 15*a*b^4*c*d^2 + 10*a^2*b^3*d^3)*x^7 + 1/6*(b^5*c^3 + 15*a*b^4*c^2*d + 30*a^2*b^3*c*d^2 + 10*a^3*b^2*d^3)*x^6 + (a*b^4*c^3 + 6*a^2*b^3*c^2*d + 6*a^3*b^2*c*d^2 + a^4*b*d^3)*x^5 + 1/4*(10*a^2*b^3*c^3 + 30*a^3*b^2*c^2*d + 15*a^4*b*c*d^2 + a^5*d^3)*x^4 + 1/3*(10*a^3*b^2*c^3 + 15*a^4*b*c^2*d + 3*a^5*c*d^2)*x^3 + 1/2*(5*a^4*b*c^3 + 3*a^5*c^2*d)*x^2","B",0
1785,1,225,0,1.107938," ","integrate((b*x+a)*(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","\frac{1}{8} \, b^{4} d^{3} x^{8} + a^{4} c^{3} x + \frac{1}{7} \, {\left(3 \, b^{4} c d^{2} + 4 \, a b^{3} d^{3}\right)} x^{7} + \frac{1}{2} \, {\left(b^{4} c^{2} d + 4 \, a b^{3} c d^{2} + 2 \, a^{2} b^{2} d^{3}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} c^{3} + 12 \, a b^{3} c^{2} d + 18 \, a^{2} b^{2} c d^{2} + 4 \, a^{3} b d^{3}\right)} x^{5} + \frac{1}{4} \, {\left(4 \, a b^{3} c^{3} + 18 \, a^{2} b^{2} c^{2} d + 12 \, a^{3} b c d^{2} + a^{4} d^{3}\right)} x^{4} + {\left(2 \, a^{2} b^{2} c^{3} + 4 \, a^{3} b c^{2} d + a^{4} c d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b c^{3} + 3 \, a^{4} c^{2} d\right)} x^{2}"," ",0,"1/8*b^4*d^3*x^8 + a^4*c^3*x + 1/7*(3*b^4*c*d^2 + 4*a*b^3*d^3)*x^7 + 1/2*(b^4*c^2*d + 4*a*b^3*c*d^2 + 2*a^2*b^2*d^3)*x^6 + 1/5*(b^4*c^3 + 12*a*b^3*c^2*d + 18*a^2*b^2*c*d^2 + 4*a^3*b*d^3)*x^5 + 1/4*(4*a*b^3*c^3 + 18*a^2*b^2*c^2*d + 12*a^3*b*c*d^2 + a^4*d^3)*x^4 + (2*a^2*b^2*c^3 + 4*a^3*b*c^2*d + a^4*c*d^2)*x^3 + 1/2*(4*a^3*b*c^3 + 3*a^4*c^2*d)*x^2","B",0
1786,1,140,0,1.018947," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","\frac{1}{7} \, b^{3} d^{3} x^{7} + \frac{1}{2} \, {\left(b c + a d\right)} b^{2} d^{2} x^{6} + \frac{3}{5} \, {\left(b c + a d\right)}^{2} b d x^{5} + a^{3} c^{3} x + \frac{1}{4} \, {\left(b c + a d\right)}^{3} x^{4} + \frac{1}{2} \, {\left(2 \, b d x^{3} + 3 \, {\left(b c + a d\right)} x^{2}\right)} a^{2} c^{2} + \frac{1}{10} \, {\left(6 \, b^{2} d^{2} x^{5} + 15 \, {\left(b c + a d\right)} b d x^{4} + 10 \, {\left(b c + a d\right)}^{2} x^{3}\right)} a c"," ",0,"1/7*b^3*d^3*x^7 + 1/2*(b*c + a*d)*b^2*d^2*x^6 + 3/5*(b*c + a*d)^2*b*d*x^5 + a^3*c^3*x + 1/4*(b*c + a*d)^3*x^4 + 1/2*(2*b*d*x^3 + 3*(b*c + a*d)*x^2)*a^2*c^2 + 1/10*(6*b^2*d^2*x^5 + 15*(b*c + a*d)*b*d*x^4 + 10*(b*c + a*d)^2*x^3)*a*c","A",0
1787,1,124,0,1.033141," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a),x, algorithm=""maxima"")","\frac{1}{6} \, b^{2} d^{3} x^{6} + a^{2} c^{3} x + \frac{1}{5} \, {\left(3 \, b^{2} c d^{2} + 2 \, a b d^{3}\right)} x^{5} + \frac{1}{4} \, {\left(3 \, b^{2} c^{2} d + 6 \, a b c d^{2} + a^{2} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(b^{2} c^{3} + 6 \, a b c^{2} d + 3 \, a^{2} c d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b c^{3} + 3 \, a^{2} c^{2} d\right)} x^{2}"," ",0,"1/6*b^2*d^3*x^6 + a^2*c^3*x + 1/5*(3*b^2*c*d^2 + 2*a*b*d^3)*x^5 + 1/4*(3*b^2*c^2*d + 6*a*b*c*d^2 + a^2*d^3)*x^4 + 1/3*(b^2*c^3 + 6*a*b*c^2*d + 3*a^2*c*d^2)*x^3 + 1/2*(2*a*b*c^3 + 3*a^2*c^2*d)*x^2","B",0
1788,1,69,0,1.068211," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{5} \, b d^{3} x^{5} + a c^{3} x + \frac{1}{4} \, {\left(3 \, b c d^{2} + a d^{3}\right)} x^{4} + {\left(b c^{2} d + a c d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b c^{3} + 3 \, a c^{2} d\right)} x^{2}"," ",0,"1/5*b*d^3*x^5 + a*c^3*x + 1/4*(3*b*c*d^2 + a*d^3)*x^4 + (b*c^2*d + a*c*d^2)*x^3 + 1/2*(b*c^3 + 3*a*c^2*d)*x^2","B",0
1789,1,31,0,1.047754," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{4} \, d^{3} x^{4} + c d^{2} x^{3} + \frac{3}{2} \, c^{2} d x^{2} + c^{3} x"," ",0,"1/4*d^3*x^4 + c*d^2*x^3 + 3/2*c^2*d*x^2 + c^3*x","B",0
1790,1,114,0,0.997786," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^4,x, algorithm=""maxima"")","\frac{2 \, b^{2} d^{3} x^{3} + 3 \, {\left(3 \, b^{2} c d^{2} - a b d^{3}\right)} x^{2} + 6 \, {\left(3 \, b^{2} c^{2} d - 3 \, a b c d^{2} + a^{2} d^{3}\right)} x}{6 \, b^{3}} + \frac{{\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"1/6*(2*b^2*d^3*x^3 + 3*(3*b^2*c*d^2 - a*b*d^3)*x^2 + 6*(3*b^2*c^2*d - 3*a*b*c*d^2 + a^2*d^3)*x)/b^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(b*x + a)/b^4","A",0
1791,1,118,0,1.082421," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}}{b^{5} x + a b^{4}} + \frac{b d^{3} x^{2} + 2 \, {\left(3 \, b c d^{2} - 2 \, a d^{3}\right)} x}{2 \, b^{3}} + \frac{3 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"-(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)/(b^5*x + a*b^4) + 1/2*(b*d^3*x^2 + 2*(3*b*c*d^2 - 2*a*d^3)*x)/b^3 + 3*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*log(b*x + a)/b^4","A",0
1792,1,125,0,1.087258," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^6,x, algorithm=""maxima"")","\frac{d^{3} x}{b^{3}} - \frac{b^{3} c^{3} + 3 \, a b^{2} c^{2} d - 9 \, a^{2} b c d^{2} + 5 \, a^{3} d^{3} + 6 \, {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{2 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}} + \frac{3 \, {\left(b c d^{2} - a d^{3}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"d^3*x/b^3 - 1/2*(b^3*c^3 + 3*a*b^2*c^2*d - 9*a^2*b*c*d^2 + 5*a^3*d^3 + 6*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^6*x^2 + 2*a*b^5*x + a^2*b^4) + 3*(b*c*d^2 - a*d^3)*log(b*x + a)/b^4","A",0
1793,1,142,0,1.019532," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{2 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 6 \, a^{2} b c d^{2} - 11 \, a^{3} d^{3} + 18 \, {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} x^{2} + 9 \, {\left(b^{3} c^{2} d + 2 \, a b^{2} c d^{2} - 3 \, a^{2} b d^{3}\right)} x}{6 \, {\left(b^{7} x^{3} + 3 \, a b^{6} x^{2} + 3 \, a^{2} b^{5} x + a^{3} b^{4}\right)}} + \frac{d^{3} \log\left(b x + a\right)}{b^{4}}"," ",0,"-1/6*(2*b^3*c^3 + 3*a*b^2*c^2*d + 6*a^2*b*c*d^2 - 11*a^3*d^3 + 18*(b^3*c*d^2 - a*b^2*d^3)*x^2 + 9*(b^3*c^2*d + 2*a*b^2*c*d^2 - 3*a^2*b*d^3)*x)/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4) + d^3*log(b*x + a)/b^4","A",0
1794,1,143,0,1.166329," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^8,x, algorithm=""maxima"")","-\frac{4 \, b^{3} d^{3} x^{3} + b^{3} c^{3} + a b^{2} c^{2} d + a^{2} b c d^{2} + a^{3} d^{3} + 6 \, {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 4 \, {\left(b^{3} c^{2} d + a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{4 \, {\left(b^{8} x^{4} + 4 \, a b^{7} x^{3} + 6 \, a^{2} b^{6} x^{2} + 4 \, a^{3} b^{5} x + a^{4} b^{4}\right)}}"," ",0,"-1/4*(4*b^3*d^3*x^3 + b^3*c^3 + a*b^2*c^2*d + a^2*b*c*d^2 + a^3*d^3 + 6*(b^3*c*d^2 + a*b^2*d^3)*x^2 + 4*(b^3*c^2*d + a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^8*x^4 + 4*a*b^7*x^3 + 6*a^2*b^6*x^2 + 4*a^3*b^5*x + a^4*b^4)","B",0
1795,1,160,0,1.115115," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^9,x, algorithm=""maxima"")","-\frac{10 \, b^{3} d^{3} x^{3} + 4 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 2 \, a^{2} b c d^{2} + a^{3} d^{3} + 10 \, {\left(2 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 5 \, {\left(3 \, b^{3} c^{2} d + 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{20 \, {\left(b^{9} x^{5} + 5 \, a b^{8} x^{4} + 10 \, a^{2} b^{7} x^{3} + 10 \, a^{3} b^{6} x^{2} + 5 \, a^{4} b^{5} x + a^{5} b^{4}\right)}}"," ",0,"-1/20*(10*b^3*d^3*x^3 + 4*b^3*c^3 + 3*a*b^2*c^2*d + 2*a^2*b*c*d^2 + a^3*d^3 + 10*(2*b^3*c*d^2 + a*b^2*d^3)*x^2 + 5*(3*b^3*c^2*d + 2*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^9*x^5 + 5*a*b^8*x^4 + 10*a^2*b^7*x^3 + 10*a^3*b^6*x^2 + 5*a^4*b^5*x + a^5*b^4)","B",0
1796,1,171,0,1.219766," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{20 \, b^{3} d^{3} x^{3} + 10 \, b^{3} c^{3} + 6 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + a^{3} d^{3} + 15 \, {\left(3 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 6 \, {\left(6 \, b^{3} c^{2} d + 3 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{60 \, {\left(b^{10} x^{6} + 6 \, a b^{9} x^{5} + 15 \, a^{2} b^{8} x^{4} + 20 \, a^{3} b^{7} x^{3} + 15 \, a^{4} b^{6} x^{2} + 6 \, a^{5} b^{5} x + a^{6} b^{4}\right)}}"," ",0,"-1/60*(20*b^3*d^3*x^3 + 10*b^3*c^3 + 6*a*b^2*c^2*d + 3*a^2*b*c*d^2 + a^3*d^3 + 15*(3*b^3*c*d^2 + a*b^2*d^3)*x^2 + 6*(6*b^3*c^2*d + 3*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^10*x^6 + 6*a*b^9*x^5 + 15*a^2*b^8*x^4 + 20*a^3*b^7*x^3 + 15*a^4*b^6*x^2 + 6*a^5*b^5*x + a^6*b^4)","B",0
1797,1,182,0,1.206236," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^11,x, algorithm=""maxima"")","-\frac{35 \, b^{3} d^{3} x^{3} + 20 \, b^{3} c^{3} + 10 \, a b^{2} c^{2} d + 4 \, a^{2} b c d^{2} + a^{3} d^{3} + 21 \, {\left(4 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 7 \, {\left(10 \, b^{3} c^{2} d + 4 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{140 \, {\left(b^{11} x^{7} + 7 \, a b^{10} x^{6} + 21 \, a^{2} b^{9} x^{5} + 35 \, a^{3} b^{8} x^{4} + 35 \, a^{4} b^{7} x^{3} + 21 \, a^{5} b^{6} x^{2} + 7 \, a^{6} b^{5} x + a^{7} b^{4}\right)}}"," ",0,"-1/140*(35*b^3*d^3*x^3 + 20*b^3*c^3 + 10*a*b^2*c^2*d + 4*a^2*b*c*d^2 + a^3*d^3 + 21*(4*b^3*c*d^2 + a*b^2*d^3)*x^2 + 7*(10*b^3*c^2*d + 4*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^11*x^7 + 7*a*b^10*x^6 + 21*a^2*b^9*x^5 + 35*a^3*b^8*x^4 + 35*a^4*b^7*x^3 + 21*a^5*b^6*x^2 + 7*a^6*b^5*x + a^7*b^4)","B",0
1798,1,193,0,1.148944," ","integrate((a*c+(a*d+b*c)*x+b*d*x^2)^3/(b*x+a)^12,x, algorithm=""maxima"")","-\frac{56 \, b^{3} d^{3} x^{3} + 35 \, b^{3} c^{3} + 15 \, a b^{2} c^{2} d + 5 \, a^{2} b c d^{2} + a^{3} d^{3} + 28 \, {\left(5 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 8 \, {\left(15 \, b^{3} c^{2} d + 5 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{280 \, {\left(b^{12} x^{8} + 8 \, a b^{11} x^{7} + 28 \, a^{2} b^{10} x^{6} + 56 \, a^{3} b^{9} x^{5} + 70 \, a^{4} b^{8} x^{4} + 56 \, a^{5} b^{7} x^{3} + 28 \, a^{6} b^{6} x^{2} + 8 \, a^{7} b^{5} x + a^{8} b^{4}\right)}}"," ",0,"-1/280*(56*b^3*d^3*x^3 + 35*b^3*c^3 + 15*a*b^2*c^2*d + 5*a^2*b*c*d^2 + a^3*d^3 + 28*(5*b^3*c*d^2 + a*b^2*d^3)*x^2 + 8*(15*b^3*c^2*d + 5*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^12*x^8 + 8*a*b^11*x^7 + 28*a^2*b^10*x^6 + 56*a^3*b^9*x^5 + 70*a^4*b^8*x^4 + 56*a^5*b^7*x^3 + 28*a^6*b^6*x^2 + 8*a^7*b^5*x + a^8*b^4)","B",0
1799,1,258,0,1.010108," ","integrate((b*x+a)^6/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{12 \, b^{5} d^{4} x^{5} - 15 \, {\left(b^{5} c d^{3} - 5 \, a b^{4} d^{4}\right)} x^{4} + 20 \, {\left(b^{5} c^{2} d^{2} - 5 \, a b^{4} c d^{3} + 10 \, a^{2} b^{3} d^{4}\right)} x^{3} - 30 \, {\left(b^{5} c^{3} d - 5 \, a b^{4} c^{2} d^{2} + 10 \, a^{2} b^{3} c d^{3} - 10 \, a^{3} b^{2} d^{4}\right)} x^{2} + 60 \, {\left(b^{5} c^{4} - 5 \, a b^{4} c^{3} d + 10 \, a^{2} b^{3} c^{2} d^{2} - 10 \, a^{3} b^{2} c d^{3} + 5 \, a^{4} b d^{4}\right)} x}{60 \, d^{5}} - \frac{{\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}\right)} \log\left(d x + c\right)}{d^{6}}"," ",0,"1/60*(12*b^5*d^4*x^5 - 15*(b^5*c*d^3 - 5*a*b^4*d^4)*x^4 + 20*(b^5*c^2*d^2 - 5*a*b^4*c*d^3 + 10*a^2*b^3*d^4)*x^3 - 30*(b^5*c^3*d - 5*a*b^4*c^2*d^2 + 10*a^2*b^3*c*d^3 - 10*a^3*b^2*d^4)*x^2 + 60*(b^5*c^4 - 5*a*b^4*c^3*d + 10*a^2*b^3*c^2*d^2 - 10*a^3*b^2*c*d^3 + 5*a^4*b*d^4)*x)/d^5 - (b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)*log(d*x + c)/d^6","B",0
1800,1,177,0,1.042217," ","integrate((b*x+a)^5/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{3 \, b^{4} d^{3} x^{4} - 4 \, {\left(b^{4} c d^{2} - 4 \, a b^{3} d^{3}\right)} x^{3} + 6 \, {\left(b^{4} c^{2} d - 4 \, a b^{3} c d^{2} + 6 \, a^{2} b^{2} d^{3}\right)} x^{2} - 12 \, {\left(b^{4} c^{3} - 4 \, a b^{3} c^{2} d + 6 \, a^{2} b^{2} c d^{2} - 4 \, a^{3} b d^{3}\right)} x}{12 \, d^{4}} + \frac{{\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}\right)} \log\left(d x + c\right)}{d^{5}}"," ",0,"1/12*(3*b^4*d^3*x^4 - 4*(b^4*c*d^2 - 4*a*b^3*d^3)*x^3 + 6*(b^4*c^2*d - 4*a*b^3*c*d^2 + 6*a^2*b^2*d^3)*x^2 - 12*(b^4*c^3 - 4*a*b^3*c^2*d + 6*a^2*b^2*c*d^2 - 4*a^3*b*d^3)*x)/d^4 + (b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*log(d*x + c)/d^5","A",0
1801,1,114,0,1.013932," ","integrate((b*x+a)^4/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{2 \, b^{3} d^{2} x^{3} - 3 \, {\left(b^{3} c d - 3 \, a b^{2} d^{2}\right)} x^{2} + 6 \, {\left(b^{3} c^{2} - 3 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x}{6 \, d^{3}} - \frac{{\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left(d x + c\right)}{d^{4}}"," ",0,"1/6*(2*b^3*d^2*x^3 - 3*(b^3*c*d - 3*a*b^2*d^2)*x^2 + 6*(b^3*c^2 - 3*a*b^2*c*d + 3*a^2*b*d^2)*x)/d^3 - (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(d*x + c)/d^4","A",0
1802,1,60,0,0.978025," ","integrate((b*x+a)^3/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{b^{2} d x^{2} - 2 \, {\left(b^{2} c - 2 \, a b d\right)} x}{2 \, d^{2}} + \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left(d x + c\right)}{d^{3}}"," ",0,"1/2*(b^2*d*x^2 - 2*(b^2*c - 2*a*b*d)*x)/d^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(d*x + c)/d^3","A",0
1803,1,26,0,1.011610," ","integrate((b*x+a)^2/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{b x}{d} - \frac{{\left(b c - a d\right)} \log\left(d x + c\right)}{d^{2}}"," ",0,"b*x/d - (b*c - a*d)*log(d*x + c)/d^2","A",0
1804,1,10,0,0.972402," ","integrate((b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{\log\left(d x + c\right)}{d}"," ",0,"log(d*x + c)/d","A",0
1805,1,36,0,1.105311," ","integrate(1/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)}{b c - a d} - \frac{\log\left(d x + c\right)}{b c - a d}"," ",0,"log(b*x + a)/(b*c - a*d) - log(d*x + c)/(b*c - a*d)","A",0
1806,1,92,0,1.011679," ","integrate(1/(b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","-\frac{d \log\left(b x + a\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} + \frac{d \log\left(d x + c\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} - \frac{1}{a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x}"," ",0,"-d*log(b*x + a)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) + d*log(d*x + c)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) - 1/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)","A",0
1807,1,202,0,1.137070," ","integrate(1/(b*x+a)^2/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{d^{2} \log\left(b x + a\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} - \frac{d^{2} \log\left(d x + c\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{2 \, b d x - b c + 3 \, a d}{2 \, {\left(a^{2} b^{2} c^{2} - 2 \, a^{3} b c d + a^{4} d^{2} + {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b^{3} c^{2} - 2 \, a^{2} b^{2} c d + a^{3} b d^{2}\right)} x\right)}}"," ",0,"d^2*log(b*x + a)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) - d^2*log(d*x + c)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + 1/2*(2*b*d*x - b*c + 3*a*d)/(a^2*b^2*c^2 - 2*a^3*b*c*d + a^4*d^2 + (b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*x^2 + 2*(a*b^3*c^2 - 2*a^2*b^2*c*d + a^3*b*d^2)*x)","B",0
1808,1,361,0,1.219471," ","integrate(1/(b*x+a)^3/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","-\frac{d^{3} \log\left(b x + a\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} + \frac{d^{3} \log\left(d x + c\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} - \frac{6 \, b^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} - 7 \, a b c d + 11 \, a^{2} d^{2} - 3 \, {\left(b^{2} c d - 5 \, a b d^{2}\right)} x}{6 \, {\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{3} + 3 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}\right)} x\right)}}"," ",0,"-d^3*log(b*x + a)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) + d^3*log(d*x + c)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) - 1/6*(6*b^2*d^2*x^2 + 2*b^2*c^2 - 7*a*b*c*d + 11*a^2*d^2 - 3*(b^2*c*d - 5*a*b*d^2)*x)/(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^3 + 3*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x^2 + 3*(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3)*x)","B",0
1809,1,558,0,1.303134," ","integrate(1/(b*x+a)^4/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""maxima"")","\frac{d^{4} \log\left(b x + a\right)}{b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}} - \frac{d^{4} \log\left(d x + c\right)}{b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}} + \frac{12 \, b^{3} d^{3} x^{3} - 3 \, b^{3} c^{3} + 13 \, a b^{2} c^{2} d - 23 \, a^{2} b c d^{2} + 25 \, a^{3} d^{3} - 6 \, {\left(b^{3} c d^{2} - 7 \, a b^{2} d^{3}\right)} x^{2} + 4 \, {\left(b^{3} c^{2} d - 5 \, a b^{2} c d^{2} + 13 \, a^{2} b d^{3}\right)} x}{12 \, {\left(a^{4} b^{4} c^{4} - 4 \, a^{5} b^{3} c^{3} d + 6 \, a^{6} b^{2} c^{2} d^{2} - 4 \, a^{7} b c d^{3} + a^{8} d^{4} + {\left(b^{8} c^{4} - 4 \, a b^{7} c^{3} d + 6 \, a^{2} b^{6} c^{2} d^{2} - 4 \, a^{3} b^{5} c d^{3} + a^{4} b^{4} d^{4}\right)} x^{4} + 4 \, {\left(a b^{7} c^{4} - 4 \, a^{2} b^{6} c^{3} d + 6 \, a^{3} b^{5} c^{2} d^{2} - 4 \, a^{4} b^{4} c d^{3} + a^{5} b^{3} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{6} c^{4} - 4 \, a^{3} b^{5} c^{3} d + 6 \, a^{4} b^{4} c^{2} d^{2} - 4 \, a^{5} b^{3} c d^{3} + a^{6} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{5} c^{4} - 4 \, a^{4} b^{4} c^{3} d + 6 \, a^{5} b^{3} c^{2} d^{2} - 4 \, a^{6} b^{2} c d^{3} + a^{7} b d^{4}\right)} x\right)}}"," ",0,"d^4*log(b*x + a)/(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5) - d^4*log(d*x + c)/(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5) + 1/12*(12*b^3*d^3*x^3 - 3*b^3*c^3 + 13*a*b^2*c^2*d - 23*a^2*b*c*d^2 + 25*a^3*d^3 - 6*(b^3*c*d^2 - 7*a*b^2*d^3)*x^2 + 4*(b^3*c^2*d - 5*a*b^2*c*d^2 + 13*a^2*b*d^3)*x)/(a^4*b^4*c^4 - 4*a^5*b^3*c^3*d + 6*a^6*b^2*c^2*d^2 - 4*a^7*b*c*d^3 + a^8*d^4 + (b^8*c^4 - 4*a*b^7*c^3*d + 6*a^2*b^6*c^2*d^2 - 4*a^3*b^5*c*d^3 + a^4*b^4*d^4)*x^4 + 4*(a*b^7*c^4 - 4*a^2*b^6*c^3*d + 6*a^3*b^5*c^2*d^2 - 4*a^4*b^4*c*d^3 + a^5*b^3*d^4)*x^3 + 6*(a^2*b^6*c^4 - 4*a^3*b^5*c^3*d + 6*a^4*b^4*c^2*d^2 - 4*a^5*b^3*c*d^3 + a^6*b^2*d^4)*x^2 + 4*(a^3*b^5*c^4 - 4*a^4*b^4*c^3*d + 6*a^5*b^3*c^2*d^2 - 4*a^6*b^2*c*d^3 + a^7*b*d^4)*x)","B",0
1810,1,183,0,1.032460," ","integrate((b*x+a)^6/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","-\frac{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}}{d^{6} x + c d^{5}} + \frac{b^{4} d^{2} x^{3} - 3 \, {\left(b^{4} c d - 2 \, a b^{3} d^{2}\right)} x^{2} + 3 \, {\left(3 \, b^{4} c^{2} - 8 \, a b^{3} c d + 6 \, a^{2} b^{2} d^{2}\right)} x}{3 \, d^{4}} - \frac{4 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} \log\left(d x + c\right)}{d^{5}}"," ",0,"-(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)/(d^6*x + c*d^5) + 1/3*(b^4*d^2*x^3 - 3*(b^4*c*d - 2*a*b^3*d^2)*x^2 + 3*(3*b^4*c^2 - 8*a*b^3*c*d + 6*a^2*b^2*d^2)*x)/d^4 - 4*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*log(d*x + c)/d^5","A",0
1811,1,117,0,1.115397," ","integrate((b*x+a)^5/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","\frac{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}}{d^{5} x + c d^{4}} + \frac{b^{3} d x^{2} - 2 \, {\left(2 \, b^{3} c - 3 \, a b^{2} d\right)} x}{2 \, d^{3}} + \frac{3 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} \log\left(d x + c\right)}{d^{4}}"," ",0,"(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)/(d^5*x + c*d^4) + 1/2*(b^3*d*x^2 - 2*(2*b^3*c - 3*a*b^2*d)*x)/d^3 + 3*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*log(d*x + c)/d^4","A",0
1812,1,67,0,1.064392," ","integrate((b*x+a)^4/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","\frac{b^{2} x}{d^{2}} - \frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{d^{4} x + c d^{3}} - \frac{2 \, {\left(b^{2} c - a b d\right)} \log\left(d x + c\right)}{d^{3}}"," ",0,"b^2*x/d^2 - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(d^4*x + c*d^3) - 2*(b^2*c - a*b*d)*log(d*x + c)/d^3","A",0
1813,1,34,0,1.013518," ","integrate((b*x+a)^3/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","\frac{b c - a d}{d^{3} x + c d^{2}} + \frac{b \log\left(d x + c\right)}{d^{2}}"," ",0,"(b*c - a*d)/(d^3*x + c*d^2) + b*log(d*x + c)/d^2","A",0
1814,1,13,0,1.075841," ","integrate((b*x+a)^2/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","-\frac{1}{d^{2} x + c d}"," ",0,"-1/(d^2*x + c*d)","A",0
1815,1,90,0,1.157758," ","integrate((b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","\frac{b \log\left(b x + a\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} - \frac{b \log\left(d x + c\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} + \frac{1}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}"," ",0,"b*log(b*x + a)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) - b*log(d*x + c)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) + 1/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)","A",0
1816,1,208,0,1.144540," ","integrate(1/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","-\frac{2 \, b d \log\left(b x + a\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{2 \, b d \log\left(d x + c\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} - \frac{2 \, b d x + b c + a d}{a b^{2} c^{3} - 2 \, a^{2} b c^{2} d + a^{3} c d^{2} + {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x^{2} + {\left(b^{3} c^{3} - a b^{2} c^{2} d - a^{2} b c d^{2} + a^{3} d^{3}\right)} x}"," ",0,"-2*b*d*log(b*x + a)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + 2*b*d*log(d*x + c)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) - (2*b*d*x + b*c + a*d)/(a*b^2*c^3 - 2*a^2*b*c^2*d + a^3*c*d^2 + (b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x^2 + (b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2 + a^3*d^3)*x)","B",0
1817,1,386,0,1.436488," ","integrate(1/(b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x, algorithm=""maxima"")","\frac{3 \, b d^{2} \log\left(b x + a\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} - \frac{3 \, b d^{2} \log\left(d x + c\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} + \frac{6 \, b^{2} d^{2} x^{2} - b^{2} c^{2} + 5 \, a b c d + 2 \, a^{2} d^{2} + 3 \, {\left(b^{2} c d + 3 \, a b d^{2}\right)} x}{2 \, {\left(a^{2} b^{3} c^{4} - 3 \, a^{3} b^{2} c^{3} d + 3 \, a^{4} b c^{2} d^{2} - a^{5} c d^{3} + {\left(b^{5} c^{3} d - 3 \, a b^{4} c^{2} d^{2} + 3 \, a^{2} b^{3} c d^{3} - a^{3} b^{2} d^{4}\right)} x^{3} + {\left(b^{5} c^{4} - a b^{4} c^{3} d - 3 \, a^{2} b^{3} c^{2} d^{2} + 5 \, a^{3} b^{2} c d^{3} - 2 \, a^{4} b d^{4}\right)} x^{2} + {\left(2 \, a b^{4} c^{4} - 5 \, a^{2} b^{3} c^{3} d + 3 \, a^{3} b^{2} c^{2} d^{2} + a^{4} b c d^{3} - a^{5} d^{4}\right)} x\right)}}"," ",0,"3*b*d^2*log(b*x + a)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) - 3*b*d^2*log(d*x + c)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) + 1/2*(6*b^2*d^2*x^2 - b^2*c^2 + 5*a*b*c*d + 2*a^2*d^2 + 3*(b^2*c*d + 3*a*b*d^2)*x)/(a^2*b^3*c^4 - 3*a^3*b^2*c^3*d + 3*a^4*b*c^2*d^2 - a^5*c*d^3 + (b^5*c^3*d - 3*a*b^4*c^2*d^2 + 3*a^2*b^3*c*d^3 - a^3*b^2*d^4)*x^3 + (b^5*c^4 - a*b^4*c^3*d - 3*a^2*b^3*c^2*d^2 + 5*a^3*b^2*c*d^3 - 2*a^4*b*d^4)*x^2 + (2*a*b^4*c^4 - 5*a^2*b^3*c^3*d + 3*a^3*b^2*c^2*d^2 + a^4*b*c*d^3 - a^5*d^4)*x)","B",0
1818,1,271,0,1.276301," ","integrate((b*x+a)^8/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","-\frac{9 \, b^{5} c^{5} - 35 \, a b^{4} c^{4} d + 50 \, a^{2} b^{3} c^{3} d^{2} - 30 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} + a^{5} d^{5} + 10 \, {\left(b^{5} c^{4} d - 4 \, a b^{4} c^{3} d^{2} + 6 \, a^{2} b^{3} c^{2} d^{3} - 4 \, a^{3} b^{2} c d^{4} + a^{4} b d^{5}\right)} x}{2 \, {\left(d^{8} x^{2} + 2 \, c d^{7} x + c^{2} d^{6}\right)}} + \frac{2 \, b^{5} d^{2} x^{3} - 3 \, {\left(3 \, b^{5} c d - 5 \, a b^{4} d^{2}\right)} x^{2} + 6 \, {\left(6 \, b^{5} c^{2} - 15 \, a b^{4} c d + 10 \, a^{2} b^{3} d^{2}\right)} x}{6 \, d^{5}} - \frac{10 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} \log\left(d x + c\right)}{d^{6}}"," ",0,"-1/2*(9*b^5*c^5 - 35*a*b^4*c^4*d + 50*a^2*b^3*c^3*d^2 - 30*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 + a^5*d^5 + 10*(b^5*c^4*d - 4*a*b^4*c^3*d^2 + 6*a^2*b^3*c^2*d^3 - 4*a^3*b^2*c*d^4 + a^4*b*d^5)*x)/(d^8*x^2 + 2*c*d^7*x + c^2*d^6) + 1/6*(2*b^5*d^2*x^3 - 3*(3*b^5*c*d - 5*a*b^4*d^2)*x^2 + 6*(6*b^5*c^2 - 15*a*b^4*c*d + 10*a^2*b^3*d^2)*x)/d^5 - 10*(b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*log(d*x + c)/d^6","B",0
1819,1,191,0,1.174604," ","integrate((b*x+a)^7/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","\frac{7 \, b^{4} c^{4} - 20 \, a b^{3} c^{3} d + 18 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} - a^{4} d^{4} + 8 \, {\left(b^{4} c^{3} d - 3 \, a b^{3} c^{2} d^{2} + 3 \, a^{2} b^{2} c d^{3} - a^{3} b d^{4}\right)} x}{2 \, {\left(d^{7} x^{2} + 2 \, c d^{6} x + c^{2} d^{5}\right)}} + \frac{b^{4} d x^{2} - 2 \, {\left(3 \, b^{4} c - 4 \, a b^{3} d\right)} x}{2 \, d^{4}} + \frac{6 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \log\left(d x + c\right)}{d^{5}}"," ",0,"1/2*(7*b^4*c^4 - 20*a*b^3*c^3*d + 18*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 - a^4*d^4 + 8*(b^4*c^3*d - 3*a*b^3*c^2*d^2 + 3*a^2*b^2*c*d^3 - a^3*b*d^4)*x)/(d^7*x^2 + 2*c*d^6*x + c^2*d^5) + 1/2*(b^4*d*x^2 - 2*(3*b^4*c - 4*a*b^3*d)*x)/d^4 + 6*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*log(d*x + c)/d^5","A",0
1820,1,125,0,1.161147," ","integrate((b*x+a)^6/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","\frac{b^{3} x}{d^{3}} - \frac{5 \, b^{3} c^{3} - 9 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + a^{3} d^{3} + 6 \, {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{2 \, {\left(d^{6} x^{2} + 2 \, c d^{5} x + c^{2} d^{4}\right)}} - \frac{3 \, {\left(b^{3} c - a b^{2} d\right)} \log\left(d x + c\right)}{d^{4}}"," ",0,"b^3*x/d^3 - 1/2*(5*b^3*c^3 - 9*a*b^2*c^2*d + 3*a^2*b*c*d^2 + a^3*d^3 + 6*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x)/(d^6*x^2 + 2*c*d^5*x + c^2*d^4) - 3*(b^3*c - a*b^2*d)*log(d*x + c)/d^4","A",0
1821,1,80,0,1.106767," ","integrate((b*x+a)^5/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","\frac{3 \, b^{2} c^{2} - 2 \, a b c d - a^{2} d^{2} + 4 \, {\left(b^{2} c d - a b d^{2}\right)} x}{2 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}} + \frac{b^{2} \log\left(d x + c\right)}{d^{3}}"," ",0,"1/2*(3*b^2*c^2 - 2*a*b*c*d - a^2*d^2 + 4*(b^2*c*d - a*b*d^2)*x)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3) + b^2*log(d*x + c)/d^3","A",0
1822,1,38,0,1.031534," ","integrate((b*x+a)^4/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","-\frac{2 \, b d x + b c + a d}{2 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)}}"," ",0,"-1/2*(2*b*d*x + b*c + a*d)/(d^4*x^2 + 2*c*d^3*x + c^2*d^2)","A",0
1823,1,24,0,1.037104," ","integrate((b*x+a)^3/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"-1/2/(d^3*x^2 + 2*c*d^2*x + c^2*d)","A",0
1824,1,202,0,1.092800," ","integrate((b*x+a)^2/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","\frac{b^{2} \log\left(b x + a\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} - \frac{b^{2} \log\left(d x + c\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{2 \, b d x + 3 \, b c - a d}{2 \, {\left(b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2} + {\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} x^{2} + 2 \, {\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} x\right)}}"," ",0,"b^2*log(b*x + a)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) - b^2*log(d*x + c)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + 1/2*(2*b*d*x + 3*b*c - a*d)/(b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2 + (b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*x^2 + 2*(b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*x)","B",0
1825,1,386,0,1.270312," ","integrate((b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","-\frac{3 \, b^{2} d \log\left(b x + a\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} + \frac{3 \, b^{2} d \log\left(d x + c\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} - \frac{6 \, b^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} + 5 \, a b c d - a^{2} d^{2} + 3 \, {\left(3 \, b^{2} c d + a b d^{2}\right)} x}{2 \, {\left(a b^{3} c^{5} - 3 \, a^{2} b^{2} c^{4} d + 3 \, a^{3} b c^{3} d^{2} - a^{4} c^{2} d^{3} + {\left(b^{4} c^{3} d^{2} - 3 \, a b^{3} c^{2} d^{3} + 3 \, a^{2} b^{2} c d^{4} - a^{3} b d^{5}\right)} x^{3} + {\left(2 \, b^{4} c^{4} d - 5 \, a b^{3} c^{3} d^{2} + 3 \, a^{2} b^{2} c^{2} d^{3} + a^{3} b c d^{4} - a^{4} d^{5}\right)} x^{2} + {\left(b^{4} c^{5} - a b^{3} c^{4} d - 3 \, a^{2} b^{2} c^{3} d^{2} + 5 \, a^{3} b c^{2} d^{3} - 2 \, a^{4} c d^{4}\right)} x\right)}}"," ",0,"-3*b^2*d*log(b*x + a)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) + 3*b^2*d*log(d*x + c)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) - 1/2*(6*b^2*d^2*x^2 + 2*b^2*c^2 + 5*a*b*c*d - a^2*d^2 + 3*(3*b^2*c*d + a*b*d^2)*x)/(a*b^3*c^5 - 3*a^2*b^2*c^4*d + 3*a^3*b*c^3*d^2 - a^4*c^2*d^3 + (b^4*c^3*d^2 - 3*a*b^3*c^2*d^3 + 3*a^2*b^2*c*d^4 - a^3*b*d^5)*x^3 + (2*b^4*c^4*d - 5*a*b^3*c^3*d^2 + 3*a^2*b^2*c^2*d^3 + a^3*b*c*d^4 - a^4*d^5)*x^2 + (b^4*c^5 - a*b^3*c^4*d - 3*a^2*b^2*c^3*d^2 + 5*a^3*b*c^2*d^3 - 2*a^4*c*d^4)*x)","B",0
1826,1,594,0,1.259064," ","integrate(1/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","\frac{6 \, b^{2} d^{2} \log\left(b x + a\right)}{b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}} - \frac{6 \, b^{2} d^{2} \log\left(d x + c\right)}{b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}} + \frac{12 \, b^{3} d^{3} x^{3} - b^{3} c^{3} + 7 \, a b^{2} c^{2} d + 7 \, a^{2} b c d^{2} - a^{3} d^{3} + 18 \, {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 4 \, {\left(b^{3} c^{2} d + 7 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{2 \, {\left(a^{2} b^{4} c^{6} - 4 \, a^{3} b^{3} c^{5} d + 6 \, a^{4} b^{2} c^{4} d^{2} - 4 \, a^{5} b c^{3} d^{3} + a^{6} c^{2} d^{4} + {\left(b^{6} c^{4} d^{2} - 4 \, a b^{5} c^{3} d^{3} + 6 \, a^{2} b^{4} c^{2} d^{4} - 4 \, a^{3} b^{3} c d^{5} + a^{4} b^{2} d^{6}\right)} x^{4} + 2 \, {\left(b^{6} c^{5} d - 3 \, a b^{5} c^{4} d^{2} + 2 \, a^{2} b^{4} c^{3} d^{3} + 2 \, a^{3} b^{3} c^{2} d^{4} - 3 \, a^{4} b^{2} c d^{5} + a^{5} b d^{6}\right)} x^{3} + {\left(b^{6} c^{6} - 9 \, a^{2} b^{4} c^{4} d^{2} + 16 \, a^{3} b^{3} c^{3} d^{3} - 9 \, a^{4} b^{2} c^{2} d^{4} + a^{6} d^{6}\right)} x^{2} + 2 \, {\left(a b^{5} c^{6} - 3 \, a^{2} b^{4} c^{5} d + 2 \, a^{3} b^{3} c^{4} d^{2} + 2 \, a^{4} b^{2} c^{3} d^{3} - 3 \, a^{5} b c^{2} d^{4} + a^{6} c d^{5}\right)} x\right)}}"," ",0,"6*b^2*d^2*log(b*x + a)/(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5) - 6*b^2*d^2*log(d*x + c)/(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5) + 1/2*(12*b^3*d^3*x^3 - b^3*c^3 + 7*a*b^2*c^2*d + 7*a^2*b*c*d^2 - a^3*d^3 + 18*(b^3*c*d^2 + a*b^2*d^3)*x^2 + 4*(b^3*c^2*d + 7*a*b^2*c*d^2 + a^2*b*d^3)*x)/(a^2*b^4*c^6 - 4*a^3*b^3*c^5*d + 6*a^4*b^2*c^4*d^2 - 4*a^5*b*c^3*d^3 + a^6*c^2*d^4 + (b^6*c^4*d^2 - 4*a*b^5*c^3*d^3 + 6*a^2*b^4*c^2*d^4 - 4*a^3*b^3*c*d^5 + a^4*b^2*d^6)*x^4 + 2*(b^6*c^5*d - 3*a*b^5*c^4*d^2 + 2*a^2*b^4*c^3*d^3 + 2*a^3*b^3*c^2*d^4 - 3*a^4*b^2*c*d^5 + a^5*b*d^6)*x^3 + (b^6*c^6 - 9*a^2*b^4*c^4*d^2 + 16*a^3*b^3*c^3*d^3 - 9*a^4*b^2*c^2*d^4 + a^6*d^6)*x^2 + 2*(a*b^5*c^6 - 3*a^2*b^4*c^5*d + 2*a^3*b^3*c^4*d^2 + 2*a^4*b^2*c^3*d^3 - 3*a^5*b*c^2*d^4 + a^6*c*d^5)*x)","B",0
1827,1,889,0,1.717981," ","integrate(1/(b*x+a)/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x, algorithm=""maxima"")","-\frac{10 \, b^{2} d^{3} \log\left(b x + a\right)}{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}} + \frac{10 \, b^{2} d^{3} \log\left(d x + c\right)}{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}} - \frac{60 \, b^{4} d^{4} x^{4} + 2 \, b^{4} c^{4} - 13 \, a b^{3} c^{3} d + 47 \, a^{2} b^{2} c^{2} d^{2} + 27 \, a^{3} b c d^{3} - 3 \, a^{4} d^{4} + 30 \, {\left(3 \, b^{4} c d^{3} + 5 \, a b^{3} d^{4}\right)} x^{3} + 10 \, {\left(2 \, b^{4} c^{2} d^{2} + 23 \, a b^{3} c d^{3} + 11 \, a^{2} b^{2} d^{4}\right)} x^{2} - 5 \, {\left(b^{4} c^{3} d - 11 \, a b^{3} c^{2} d^{2} - 35 \, a^{2} b^{2} c d^{3} - 3 \, a^{3} b d^{4}\right)} x}{6 \, {\left(a^{3} b^{5} c^{7} - 5 \, a^{4} b^{4} c^{6} d + 10 \, a^{5} b^{3} c^{5} d^{2} - 10 \, a^{6} b^{2} c^{4} d^{3} + 5 \, a^{7} b c^{3} d^{4} - a^{8} c^{2} d^{5} + {\left(b^{8} c^{5} d^{2} - 5 \, a b^{7} c^{4} d^{3} + 10 \, a^{2} b^{6} c^{3} d^{4} - 10 \, a^{3} b^{5} c^{2} d^{5} + 5 \, a^{4} b^{4} c d^{6} - a^{5} b^{3} d^{7}\right)} x^{5} + {\left(2 \, b^{8} c^{6} d - 7 \, a b^{7} c^{5} d^{2} + 5 \, a^{2} b^{6} c^{4} d^{3} + 10 \, a^{3} b^{5} c^{3} d^{4} - 20 \, a^{4} b^{4} c^{2} d^{5} + 13 \, a^{5} b^{3} c d^{6} - 3 \, a^{6} b^{2} d^{7}\right)} x^{4} + {\left(b^{8} c^{7} + a b^{7} c^{6} d - 17 \, a^{2} b^{6} c^{5} d^{2} + 35 \, a^{3} b^{5} c^{4} d^{3} - 25 \, a^{4} b^{4} c^{3} d^{4} - a^{5} b^{3} c^{2} d^{5} + 9 \, a^{6} b^{2} c d^{6} - 3 \, a^{7} b d^{7}\right)} x^{3} + {\left(3 \, a b^{7} c^{7} - 9 \, a^{2} b^{6} c^{6} d + a^{3} b^{5} c^{5} d^{2} + 25 \, a^{4} b^{4} c^{4} d^{3} - 35 \, a^{5} b^{3} c^{3} d^{4} + 17 \, a^{6} b^{2} c^{2} d^{5} - a^{7} b c d^{6} - a^{8} d^{7}\right)} x^{2} + {\left(3 \, a^{2} b^{6} c^{7} - 13 \, a^{3} b^{5} c^{6} d + 20 \, a^{4} b^{4} c^{5} d^{2} - 10 \, a^{5} b^{3} c^{4} d^{3} - 5 \, a^{6} b^{2} c^{3} d^{4} + 7 \, a^{7} b c^{2} d^{5} - 2 \, a^{8} c d^{6}\right)} x\right)}}"," ",0,"-10*b^2*d^3*log(b*x + a)/(b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6) + 10*b^2*d^3*log(d*x + c)/(b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6) - 1/6*(60*b^4*d^4*x^4 + 2*b^4*c^4 - 13*a*b^3*c^3*d + 47*a^2*b^2*c^2*d^2 + 27*a^3*b*c*d^3 - 3*a^4*d^4 + 30*(3*b^4*c*d^3 + 5*a*b^3*d^4)*x^3 + 10*(2*b^4*c^2*d^2 + 23*a*b^3*c*d^3 + 11*a^2*b^2*d^4)*x^2 - 5*(b^4*c^3*d - 11*a*b^3*c^2*d^2 - 35*a^2*b^2*c*d^3 - 3*a^3*b*d^4)*x)/(a^3*b^5*c^7 - 5*a^4*b^4*c^6*d + 10*a^5*b^3*c^5*d^2 - 10*a^6*b^2*c^4*d^3 + 5*a^7*b*c^3*d^4 - a^8*c^2*d^5 + (b^8*c^5*d^2 - 5*a*b^7*c^4*d^3 + 10*a^2*b^6*c^3*d^4 - 10*a^3*b^5*c^2*d^5 + 5*a^4*b^4*c*d^6 - a^5*b^3*d^7)*x^5 + (2*b^8*c^6*d - 7*a*b^7*c^5*d^2 + 5*a^2*b^6*c^4*d^3 + 10*a^3*b^5*c^3*d^4 - 20*a^4*b^4*c^2*d^5 + 13*a^5*b^3*c*d^6 - 3*a^6*b^2*d^7)*x^4 + (b^8*c^7 + a*b^7*c^6*d - 17*a^2*b^6*c^5*d^2 + 35*a^3*b^5*c^4*d^3 - 25*a^4*b^4*c^3*d^4 - a^5*b^3*c^2*d^5 + 9*a^6*b^2*c*d^6 - 3*a^7*b*d^7)*x^3 + (3*a*b^7*c^7 - 9*a^2*b^6*c^6*d + a^3*b^5*c^5*d^2 + 25*a^4*b^4*c^4*d^3 - 35*a^5*b^3*c^3*d^4 + 17*a^6*b^2*c^2*d^5 - a^7*b*c*d^6 - a^8*d^7)*x^2 + (3*a^2*b^6*c^7 - 13*a^3*b^5*c^6*d + 20*a^4*b^4*c^5*d^2 - 10*a^5*b^3*c^4*d^3 - 5*a^6*b^2*c^3*d^4 + 7*a^7*b*c^2*d^5 - 2*a^8*c*d^6)*x)","B",0
1828,1,121,0,0.981140," ","integrate((e*x+d)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{1}{7} \, c d e^{5} x^{7} + a d^{5} e x + \frac{1}{6} \, {\left(5 \, c d^{2} e^{4} + a e^{6}\right)} x^{6} + {\left(2 \, c d^{3} e^{3} + a d e^{5}\right)} x^{5} + \frac{5}{2} \, {\left(c d^{4} e^{2} + a d^{2} e^{4}\right)} x^{4} + \frac{5}{3} \, {\left(c d^{5} e + 2 \, a d^{3} e^{3}\right)} x^{3} + \frac{1}{2} \, {\left(c d^{6} + 5 \, a d^{4} e^{2}\right)} x^{2}"," ",0,"1/7*c*d*e^5*x^7 + a*d^5*e*x + 1/6*(5*c*d^2*e^4 + a*e^6)*x^6 + (2*c*d^3*e^3 + a*d*e^5)*x^5 + 5/2*(c*d^4*e^2 + a*d^2*e^4)*x^4 + 5/3*(c*d^5*e + 2*a*d^3*e^3)*x^3 + 1/2*(c*d^6 + 5*a*d^4*e^2)*x^2","B",0
1829,1,102,0,1.014767," ","integrate((e*x+d)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{1}{6} \, c d e^{4} x^{6} + a d^{4} e x + \frac{1}{5} \, {\left(4 \, c d^{2} e^{3} + a e^{5}\right)} x^{5} + \frac{1}{2} \, {\left(3 \, c d^{3} e^{2} + 2 \, a d e^{4}\right)} x^{4} + \frac{2}{3} \, {\left(2 \, c d^{4} e + 3 \, a d^{2} e^{3}\right)} x^{3} + \frac{1}{2} \, {\left(c d^{5} + 4 \, a d^{3} e^{2}\right)} x^{2}"," ",0,"1/6*c*d*e^4*x^6 + a*d^4*e*x + 1/5*(4*c*d^2*e^3 + a*e^5)*x^5 + 1/2*(3*c*d^3*e^2 + 2*a*d*e^4)*x^4 + 2/3*(2*c*d^4*e + 3*a*d^2*e^3)*x^3 + 1/2*(c*d^5 + 4*a*d^3*e^2)*x^2","B",0
1830,1,75,0,1.043562," ","integrate((e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{1}{5} \, c d e^{3} x^{5} + a d^{3} e x + \frac{1}{4} \, {\left(3 \, c d^{2} e^{2} + a e^{4}\right)} x^{4} + {\left(c d^{3} e + a d e^{3}\right)} x^{3} + \frac{1}{2} \, {\left(c d^{4} + 3 \, a d^{2} e^{2}\right)} x^{2}"," ",0,"1/5*c*d*e^3*x^5 + a*d^3*e*x + 1/4*(3*c*d^2*e^2 + a*e^4)*x^4 + (c*d^3*e + a*d*e^3)*x^3 + 1/2*(c*d^4 + 3*a*d^2*e^2)*x^2","B",0
1831,1,54,0,1.081802," ","integrate((e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{1}{4} \, c d e^{2} x^{4} + a d^{2} e x + \frac{1}{3} \, {\left(2 \, c d^{2} e + a e^{3}\right)} x^{3} + \frac{1}{2} \, {\left(c d^{3} + 2 \, a d e^{2}\right)} x^{2}"," ",0,"1/4*c*d*e^2*x^4 + a*d^2*e*x + 1/3*(2*c*d^2*e + a*e^3)*x^3 + 1/2*(c*d^3 + 2*a*d*e^2)*x^2","A",0
1832,1,30,0,0.997131," ","integrate(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, c d e x^{3} + a d e x + \frac{1}{2} \, {\left(c d^{2} + a e^{2}\right)} x^{2}"," ",0,"1/3*c*d*e*x^3 + a*d*e*x + 1/2*(c*d^2 + a*e^2)*x^2","A",0
1833,1,12,0,1.033079," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d),x, algorithm=""maxima"")","\frac{1}{2} \, c d x^{2} + a e x"," ",0,"1/2*c*d*x^2 + a*e*x","A",0
1834,1,31,0,0.985407," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{c d x}{e} - \frac{{\left(c d^{2} - a e^{2}\right)} \log\left(e x + d\right)}{e^{2}}"," ",0,"c*d*x/e - (c*d^2 - a*e^2)*log(e*x + d)/e^2","A",0
1835,1,39,0,1.108482," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{c d \log\left(e x + d\right)}{e^{2}} + \frac{c d^{2} - a e^{2}}{e^{3} x + d e^{2}}"," ",0,"c*d*log(e*x + d)/e^2 + (c*d^2 - a*e^2)/(e^3*x + d*e^2)","A",0
1836,1,43,0,1.055826," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{2 \, c d e x + c d^{2} + a e^{2}}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}}"," ",0,"-1/2*(2*c*d*e*x + c*d^2 + a*e^2)/(e^4*x^2 + 2*d*e^3*x + d^2*e^2)","A",0
1837,1,55,0,1.143512," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{3 \, c d e x + c d^{2} + 2 \, a e^{2}}{6 \, {\left(e^{5} x^{3} + 3 \, d e^{4} x^{2} + 3 \, d^{2} e^{3} x + d^{3} e^{2}\right)}}"," ",0,"-1/6*(3*c*d*e*x + c*d^2 + 2*a*e^2)/(e^5*x^3 + 3*d*e^4*x^2 + 3*d^2*e^3*x + d^3*e^2)","A",0
1838,1,66,0,1.020397," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{4 \, c d e x + c d^{2} + 3 \, a e^{2}}{12 \, {\left(e^{6} x^{4} + 4 \, d e^{5} x^{3} + 6 \, d^{2} e^{4} x^{2} + 4 \, d^{3} e^{3} x + d^{4} e^{2}\right)}}"," ",0,"-1/12*(4*c*d*e*x + c*d^2 + 3*a*e^2)/(e^6*x^4 + 4*d*e^5*x^3 + 6*d^2*e^4*x^2 + 4*d^3*e^3*x + d^4*e^2)","A",0
1839,1,172,0,1.090005," ","integrate((e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\frac{1}{7} \, c^{2} d^{2} e^{4} x^{7} + a^{2} d^{4} e^{2} x + \frac{1}{3} \, {\left(2 \, c^{2} d^{3} e^{3} + a c d e^{5}\right)} x^{6} + \frac{1}{5} \, {\left(6 \, c^{2} d^{4} e^{2} + 8 \, a c d^{2} e^{4} + a^{2} e^{6}\right)} x^{5} + {\left(c^{2} d^{5} e + 3 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)} x^{4} + \frac{1}{3} \, {\left(c^{2} d^{6} + 8 \, a c d^{4} e^{2} + 6 \, a^{2} d^{2} e^{4}\right)} x^{3} + {\left(a c d^{5} e + 2 \, a^{2} d^{3} e^{3}\right)} x^{2}"," ",0,"1/7*c^2*d^2*e^4*x^7 + a^2*d^4*e^2*x + 1/3*(2*c^2*d^3*e^3 + a*c*d*e^5)*x^6 + 1/5*(6*c^2*d^4*e^2 + 8*a*c*d^2*e^4 + a^2*e^6)*x^5 + (c^2*d^5*e + 3*a*c*d^3*e^3 + a^2*d*e^5)*x^4 + 1/3*(c^2*d^6 + 8*a*c*d^4*e^2 + 6*a^2*d^2*e^4)*x^3 + (a*c*d^5*e + 2*a^2*d^3*e^3)*x^2","B",0
1840,1,140,0,1.089216," ","integrate((e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\frac{1}{6} \, c^{2} d^{2} e^{3} x^{6} + a^{2} d^{3} e^{2} x + \frac{1}{5} \, {\left(3 \, c^{2} d^{3} e^{2} + 2 \, a c d e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(3 \, c^{2} d^{4} e + 6 \, a c d^{2} e^{3} + a^{2} e^{5}\right)} x^{4} + \frac{1}{3} \, {\left(c^{2} d^{5} + 6 \, a c d^{3} e^{2} + 3 \, a^{2} d e^{4}\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a c d^{4} e + 3 \, a^{2} d^{2} e^{3}\right)} x^{2}"," ",0,"1/6*c^2*d^2*e^3*x^6 + a^2*d^3*e^2*x + 1/5*(3*c^2*d^3*e^2 + 2*a*c*d*e^4)*x^5 + 1/4*(3*c^2*d^4*e + 6*a*c*d^2*e^3 + a^2*e^5)*x^4 + 1/3*(c^2*d^5 + 6*a*c*d^3*e^2 + 3*a^2*d*e^4)*x^3 + 1/2*(2*a*c*d^4*e + 3*a^2*d^2*e^3)*x^2","A",0
1841,1,93,0,1.033081," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\frac{1}{5} \, c^{2} d^{2} e^{2} x^{5} + \frac{1}{2} \, {\left(c d^{2} + a e^{2}\right)} c d e x^{4} + a^{2} d^{2} e^{2} x + \frac{1}{3} \, {\left(c d^{2} + a e^{2}\right)}^{2} x^{3} + \frac{1}{3} \, {\left(2 \, c d e x^{3} + 3 \, {\left(c d^{2} + a e^{2}\right)} x^{2}\right)} a d e"," ",0,"1/5*c^2*d^2*e^2*x^5 + 1/2*(c*d^2 + a*e^2)*c*d*e*x^4 + a^2*d^2*e^2*x + 1/3*(c*d^2 + a*e^2)^2*x^3 + 1/3*(2*c*d*e*x^3 + 3*(c*d^2 + a*e^2)*x^2)*a*d*e","A",0
1842,1,64,0,1.130016," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d),x, algorithm=""maxima"")","\frac{1}{4} \, c^{2} d^{2} e x^{4} + a^{2} d e^{2} x + \frac{1}{3} \, {\left(c^{2} d^{3} + 2 \, a c d e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a c d^{2} e + a^{2} e^{3}\right)} x^{2}"," ",0,"1/4*c^2*d^2*e*x^4 + a^2*d*e^2*x + 1/3*(c^2*d^3 + 2*a*c*d*e^2)*x^3 + 1/2*(2*a*c*d^2*e + a^2*e^3)*x^2","A",0
1843,1,28,0,0.975562," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^2,x, algorithm=""maxima"")","\frac{1}{3} \, c^{2} d^{2} x^{3} + a c d e x^{2} + a^{2} e^{2} x"," ",0,"1/3*c^2*d^2*x^3 + a*c*d*e*x^2 + a^2*e^2*x","A",0
1844,1,72,0,0.961475," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^3,x, algorithm=""maxima"")","\frac{c^{2} d^{2} e x^{2} - 2 \, {\left(c^{2} d^{3} - 2 \, a c d e^{2}\right)} x}{2 \, e^{2}} + \frac{{\left(c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \log\left(e x + d\right)}{e^{3}}"," ",0,"1/2*(c^2*d^2*e*x^2 - 2*(c^2*d^3 - 2*a*c*d*e^2)*x)/e^2 + (c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4)*log(e*x + d)/e^3","A",0
1845,1,79,0,1.160120," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{c^{2} d^{2} x}{e^{2}} - \frac{c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}}{e^{4} x + d e^{3}} - \frac{2 \, {\left(c^{2} d^{3} - a c d e^{2}\right)} \log\left(e x + d\right)}{e^{3}}"," ",0,"c^2*d^2*x/e^2 - (c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4)/(e^4*x + d*e^3) - 2*(c^2*d^3 - a*c*d*e^2)*log(e*x + d)/e^3","A",0
1846,1,90,0,1.062209," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^5,x, algorithm=""maxima"")","\frac{c^{2} d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{3 \, c^{2} d^{4} - 2 \, a c d^{2} e^{2} - a^{2} e^{4} + 4 \, {\left(c^{2} d^{3} e - a c d e^{3}\right)} x}{2 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)}}"," ",0,"c^2*d^2*log(e*x + d)/e^3 + 1/2*(3*c^2*d^4 - 2*a*c*d^2*e^2 - a^2*e^4 + 4*(c^2*d^3*e - a*c*d*e^3)*x)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3)","A",0
1847,1,94,0,1.119097," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{3 \, c^{2} d^{2} e^{2} x^{2} + c^{2} d^{4} + a c d^{2} e^{2} + a^{2} e^{4} + 3 \, {\left(c^{2} d^{3} e + a c d e^{3}\right)} x}{3 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}}"," ",0,"-1/3*(3*c^2*d^2*e^2*x^2 + c^2*d^4 + a*c*d^2*e^2 + a^2*e^4 + 3*(c^2*d^3*e + a*c*d*e^3)*x)/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3)","B",0
1848,1,108,0,1.090945," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{6 \, c^{2} d^{2} e^{2} x^{2} + c^{2} d^{4} + 2 \, a c d^{2} e^{2} + 3 \, a^{2} e^{4} + 4 \, {\left(c^{2} d^{3} e + 2 \, a c d e^{3}\right)} x}{12 \, {\left(e^{7} x^{4} + 4 \, d e^{6} x^{3} + 6 \, d^{2} e^{5} x^{2} + 4 \, d^{3} e^{4} x + d^{4} e^{3}\right)}}"," ",0,"-1/12*(6*c^2*d^2*e^2*x^2 + c^2*d^4 + 2*a*c*d^2*e^2 + 3*a^2*e^4 + 4*(c^2*d^3*e + 2*a*c*d*e^3)*x)/(e^7*x^4 + 4*d*e^6*x^3 + 6*d^2*e^5*x^2 + 4*d^3*e^4*x + d^4*e^3)","A",0
1849,1,119,0,1.101377," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{10 \, c^{2} d^{2} e^{2} x^{2} + c^{2} d^{4} + 3 \, a c d^{2} e^{2} + 6 \, a^{2} e^{4} + 5 \, {\left(c^{2} d^{3} e + 3 \, a c d e^{3}\right)} x}{30 \, {\left(e^{8} x^{5} + 5 \, d e^{7} x^{4} + 10 \, d^{2} e^{6} x^{3} + 10 \, d^{3} e^{5} x^{2} + 5 \, d^{4} e^{4} x + d^{5} e^{3}\right)}}"," ",0,"-1/30*(10*c^2*d^2*e^2*x^2 + c^2*d^4 + 3*a*c*d^2*e^2 + 6*a^2*e^4 + 5*(c^2*d^3*e + 3*a*c*d*e^3)*x)/(e^8*x^5 + 5*d*e^7*x^4 + 10*d^2*e^6*x^3 + 10*d^3*e^5*x^2 + 5*d^4*e^4*x + d^5*e^3)","A",0
1850,1,130,0,1.131394," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{15 \, c^{2} d^{2} e^{2} x^{2} + c^{2} d^{4} + 4 \, a c d^{2} e^{2} + 10 \, a^{2} e^{4} + 6 \, {\left(c^{2} d^{3} e + 4 \, a c d e^{3}\right)} x}{60 \, {\left(e^{9} x^{6} + 6 \, d e^{8} x^{5} + 15 \, d^{2} e^{7} x^{4} + 20 \, d^{3} e^{6} x^{3} + 15 \, d^{4} e^{5} x^{2} + 6 \, d^{5} e^{4} x + d^{6} e^{3}\right)}}"," ",0,"-1/60*(15*c^2*d^2*e^2*x^2 + c^2*d^4 + 4*a*c*d^2*e^2 + 10*a^2*e^4 + 6*(c^2*d^3*e + 4*a*c*d*e^3)*x)/(e^9*x^6 + 6*d*e^8*x^5 + 15*d^2*e^7*x^4 + 20*d^3*e^6*x^3 + 15*d^4*e^5*x^2 + 6*d^5*e^4*x + d^6*e^3)","A",0
1851,1,303,0,0.985953," ","integrate((e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\frac{1}{9} \, c^{3} d^{3} e^{5} x^{9} + a^{3} d^{5} e^{3} x + \frac{1}{8} \, {\left(5 \, c^{3} d^{4} e^{4} + 3 \, a c^{2} d^{2} e^{6}\right)} x^{8} + \frac{1}{7} \, {\left(10 \, c^{3} d^{5} e^{3} + 15 \, a c^{2} d^{3} e^{5} + 3 \, a^{2} c d e^{7}\right)} x^{7} + \frac{1}{6} \, {\left(10 \, c^{3} d^{6} e^{2} + 30 \, a c^{2} d^{4} e^{4} + 15 \, a^{2} c d^{2} e^{6} + a^{3} e^{8}\right)} x^{6} + {\left(c^{3} d^{7} e + 6 \, a c^{2} d^{5} e^{3} + 6 \, a^{2} c d^{3} e^{5} + a^{3} d e^{7}\right)} x^{5} + \frac{1}{4} \, {\left(c^{3} d^{8} + 15 \, a c^{2} d^{6} e^{2} + 30 \, a^{2} c d^{4} e^{4} + 10 \, a^{3} d^{2} e^{6}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, a c^{2} d^{7} e + 15 \, a^{2} c d^{5} e^{3} + 10 \, a^{3} d^{3} e^{5}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} c d^{6} e^{2} + 5 \, a^{3} d^{4} e^{4}\right)} x^{2}"," ",0,"1/9*c^3*d^3*e^5*x^9 + a^3*d^5*e^3*x + 1/8*(5*c^3*d^4*e^4 + 3*a*c^2*d^2*e^6)*x^8 + 1/7*(10*c^3*d^5*e^3 + 15*a*c^2*d^3*e^5 + 3*a^2*c*d*e^7)*x^7 + 1/6*(10*c^3*d^6*e^2 + 30*a*c^2*d^4*e^4 + 15*a^2*c*d^2*e^6 + a^3*e^8)*x^6 + (c^3*d^7*e + 6*a*c^2*d^5*e^3 + 6*a^2*c*d^3*e^5 + a^3*d*e^7)*x^5 + 1/4*(c^3*d^8 + 15*a*c^2*d^6*e^2 + 30*a^2*c*d^4*e^4 + 10*a^3*d^2*e^6)*x^4 + 1/3*(3*a*c^2*d^7*e + 15*a^2*c*d^5*e^3 + 10*a^3*d^3*e^5)*x^3 + 1/2*(3*a^2*c*d^6*e^2 + 5*a^3*d^4*e^4)*x^2","B",0
1852,1,251,0,1.108599," ","integrate((e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\frac{1}{8} \, c^{3} d^{3} e^{4} x^{8} + a^{3} d^{4} e^{3} x + \frac{1}{7} \, {\left(4 \, c^{3} d^{4} e^{3} + 3 \, a c^{2} d^{2} e^{5}\right)} x^{7} + \frac{1}{2} \, {\left(2 \, c^{3} d^{5} e^{2} + 4 \, a c^{2} d^{3} e^{4} + a^{2} c d e^{6}\right)} x^{6} + \frac{1}{5} \, {\left(4 \, c^{3} d^{6} e + 18 \, a c^{2} d^{4} e^{3} + 12 \, a^{2} c d^{2} e^{5} + a^{3} e^{7}\right)} x^{5} + \frac{1}{4} \, {\left(c^{3} d^{7} + 12 \, a c^{2} d^{5} e^{2} + 18 \, a^{2} c d^{3} e^{4} + 4 \, a^{3} d e^{6}\right)} x^{4} + {\left(a c^{2} d^{6} e + 4 \, a^{2} c d^{4} e^{3} + 2 \, a^{3} d^{2} e^{5}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} c d^{5} e^{2} + 4 \, a^{3} d^{3} e^{4}\right)} x^{2}"," ",0,"1/8*c^3*d^3*e^4*x^8 + a^3*d^4*e^3*x + 1/7*(4*c^3*d^4*e^3 + 3*a*c^2*d^2*e^5)*x^7 + 1/2*(2*c^3*d^5*e^2 + 4*a*c^2*d^3*e^4 + a^2*c*d*e^6)*x^6 + 1/5*(4*c^3*d^6*e + 18*a*c^2*d^4*e^3 + 12*a^2*c*d^2*e^5 + a^3*e^7)*x^5 + 1/4*(c^3*d^7 + 12*a*c^2*d^5*e^2 + 18*a^2*c*d^3*e^4 + 4*a^3*d*e^6)*x^4 + (a*c^2*d^6*e + 4*a^2*c*d^4*e^3 + 2*a^3*d^2*e^5)*x^3 + 1/2*(3*a^2*c*d^5*e^2 + 4*a^3*d^3*e^4)*x^2","B",0
1853,1,183,0,1.100064," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\frac{1}{7} \, c^{3} d^{3} e^{3} x^{7} + \frac{1}{2} \, {\left(c d^{2} + a e^{2}\right)} c^{2} d^{2} e^{2} x^{6} + a^{3} d^{3} e^{3} x + \frac{3}{5} \, {\left(c d^{2} + a e^{2}\right)}^{2} c d e x^{5} + \frac{1}{2} \, {\left(2 \, c d e x^{3} + 3 \, {\left(c d^{2} + a e^{2}\right)} x^{2}\right)} a^{2} d^{2} e^{2} + \frac{1}{4} \, {\left(c d^{2} + a e^{2}\right)}^{3} x^{4} + \frac{1}{10} \, {\left(6 \, c^{2} d^{2} e^{2} x^{5} + 15 \, {\left(c d^{2} + a e^{2}\right)} c d e x^{4} + 10 \, {\left(c d^{2} + a e^{2}\right)}^{2} x^{3}\right)} a d e"," ",0,"1/7*c^3*d^3*e^3*x^7 + 1/2*(c*d^2 + a*e^2)*c^2*d^2*e^2*x^6 + a^3*d^3*e^3*x + 3/5*(c*d^2 + a*e^2)^2*c*d*e*x^5 + 1/2*(2*c*d*e*x^3 + 3*(c*d^2 + a*e^2)*x^2)*a^2*d^2*e^2 + 1/4*(c*d^2 + a*e^2)^3*x^4 + 1/10*(6*c^2*d^2*e^2*x^5 + 15*(c*d^2 + a*e^2)*c*d*e*x^4 + 10*(c*d^2 + a*e^2)^2*x^3)*a*d*e","A",0
1854,1,150,0,1.088256," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d),x, algorithm=""maxima"")","\frac{1}{6} \, c^{3} d^{3} e^{2} x^{6} + a^{3} d^{2} e^{3} x + \frac{1}{5} \, {\left(2 \, c^{3} d^{4} e + 3 \, a c^{2} d^{2} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(c^{3} d^{5} + 6 \, a c^{2} d^{3} e^{2} + 3 \, a^{2} c d e^{4}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, a c^{2} d^{4} e + 6 \, a^{2} c d^{2} e^{3} + a^{3} e^{5}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} c d^{3} e^{2} + 2 \, a^{3} d e^{4}\right)} x^{2}"," ",0,"1/6*c^3*d^3*e^2*x^6 + a^3*d^2*e^3*x + 1/5*(2*c^3*d^4*e + 3*a*c^2*d^2*e^3)*x^5 + 1/4*(c^3*d^5 + 6*a*c^2*d^3*e^2 + 3*a^2*c*d*e^4)*x^4 + 1/3*(3*a*c^2*d^4*e + 6*a^2*c*d^2*e^3 + a^3*e^5)*x^3 + 1/2*(3*a^2*c*d^3*e^2 + 2*a^3*d*e^4)*x^2","A",0
1855,1,95,0,1.042829," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^2,x, algorithm=""maxima"")","\frac{1}{5} \, c^{3} d^{3} e x^{5} + a^{3} d e^{3} x + \frac{1}{4} \, {\left(c^{3} d^{4} + 3 \, a c^{2} d^{2} e^{2}\right)} x^{4} + {\left(a c^{2} d^{3} e + a^{2} c d e^{3}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}\right)} x^{2}"," ",0,"1/5*c^3*d^3*e*x^5 + a^3*d*e^3*x + 1/4*(c^3*d^4 + 3*a*c^2*d^2*e^2)*x^4 + (a*c^2*d^3*e + a^2*c*d*e^3)*x^3 + 1/2*(3*a^2*c*d^2*e^2 + a^3*e^4)*x^2","A",0
1856,1,45,0,1.051287," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{4} \, c^{3} d^{3} x^{4} + a c^{2} d^{2} e x^{3} + \frac{3}{2} \, a^{2} c d e^{2} x^{2} + a^{3} e^{3} x"," ",0,"1/4*c^3*d^3*x^4 + a*c^2*d^2*e*x^3 + 3/2*a^2*c*d*e^2*x^2 + a^3*e^3*x","B",0
1857,1,131,0,1.031328," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^4,x, algorithm=""maxima"")","\frac{2 \, c^{3} d^{3} e^{2} x^{3} - 3 \, {\left(c^{3} d^{4} e - 3 \, a c^{2} d^{2} e^{3}\right)} x^{2} + 6 \, {\left(c^{3} d^{5} - 3 \, a c^{2} d^{3} e^{2} + 3 \, a^{2} c d e^{4}\right)} x}{6 \, e^{3}} - \frac{{\left(c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(2*c^3*d^3*e^2*x^3 - 3*(c^3*d^4*e - 3*a*c^2*d^2*e^3)*x^2 + 6*(c^3*d^5 - 3*a*c^2*d^3*e^2 + 3*a^2*c*d*e^4)*x)/e^3 - (c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6)*log(e*x + d)/e^4","A",0
1858,1,136,0,1.106650," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^5,x, algorithm=""maxima"")","\frac{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}}{e^{5} x + d e^{4}} + \frac{c^{3} d^{3} e x^{2} - 2 \, {\left(2 \, c^{3} d^{4} - 3 \, a c^{2} d^{2} e^{2}\right)} x}{2 \, e^{3}} + \frac{3 \, {\left(c^{3} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6)/(e^5*x + d*e^4) + 1/2*(c^3*d^3*e*x^2 - 2*(2*c^3*d^4 - 3*a*c^2*d^2*e^2)*x)/e^3 + 3*(c^3*d^5 - 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*log(e*x + d)/e^4","A",0
1859,1,142,0,1.086462," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^6,x, algorithm=""maxima"")","\frac{c^{3} d^{3} x}{e^{3}} - \frac{5 \, c^{3} d^{6} - 9 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + a^{3} e^{6} + 6 \, {\left(c^{3} d^{5} e - 2 \, a c^{2} d^{3} e^{3} + a^{2} c d e^{5}\right)} x}{2 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} - \frac{3 \, {\left(c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"c^3*d^3*x/e^3 - 1/2*(5*c^3*d^6 - 9*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + a^3*e^6 + 6*(c^3*d^5*e - 2*a*c^2*d^3*e^3 + a^2*c*d*e^5)*x)/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) - 3*(c^3*d^4 - a*c^2*d^2*e^2)*log(e*x + d)/e^4","A",0
1860,1,158,0,1.114169," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^7,x, algorithm=""maxima"")","\frac{c^{3} d^{3} \log\left(e x + d\right)}{e^{4}} + \frac{11 \, c^{3} d^{6} - 6 \, a c^{2} d^{4} e^{2} - 3 \, a^{2} c d^{2} e^{4} - 2 \, a^{3} e^{6} + 18 \, {\left(c^{3} d^{4} e^{2} - a c^{2} d^{2} e^{4}\right)} x^{2} + 9 \, {\left(3 \, c^{3} d^{5} e - 2 \, a c^{2} d^{3} e^{3} - a^{2} c d e^{5}\right)} x}{6 \, {\left(e^{7} x^{3} + 3 \, d e^{6} x^{2} + 3 \, d^{2} e^{5} x + d^{3} e^{4}\right)}}"," ",0,"c^3*d^3*log(e*x + d)/e^4 + 1/6*(11*c^3*d^6 - 6*a*c^2*d^4*e^2 - 3*a^2*c*d^2*e^4 - 2*a^3*e^6 + 18*(c^3*d^4*e^2 - a*c^2*d^2*e^4)*x^2 + 9*(3*c^3*d^5*e - 2*a*c^2*d^3*e^3 - a^2*c*d*e^5)*x)/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4)","A",0
1861,1,158,0,1.119270," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{4 \, c^{3} d^{3} e^{3} x^{3} + c^{3} d^{6} + a c^{2} d^{4} e^{2} + a^{2} c d^{2} e^{4} + a^{3} e^{6} + 6 \, {\left(c^{3} d^{4} e^{2} + a c^{2} d^{2} e^{4}\right)} x^{2} + 4 \, {\left(c^{3} d^{5} e + a c^{2} d^{3} e^{3} + a^{2} c d e^{5}\right)} x}{4 \, {\left(e^{8} x^{4} + 4 \, d e^{7} x^{3} + 6 \, d^{2} e^{6} x^{2} + 4 \, d^{3} e^{5} x + d^{4} e^{4}\right)}}"," ",0,"-1/4*(4*c^3*d^3*e^3*x^3 + c^3*d^6 + a*c^2*d^4*e^2 + a^2*c*d^2*e^4 + a^3*e^6 + 6*(c^3*d^4*e^2 + a*c^2*d^2*e^4)*x^2 + 4*(c^3*d^5*e + a*c^2*d^3*e^3 + a^2*c*d*e^5)*x)/(e^8*x^4 + 4*d*e^7*x^3 + 6*d^2*e^6*x^2 + 4*d^3*e^5*x + d^4*e^4)","B",0
1862,1,175,0,1.085124," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{10 \, c^{3} d^{3} e^{3} x^{3} + c^{3} d^{6} + 2 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} + 4 \, a^{3} e^{6} + 10 \, {\left(c^{3} d^{4} e^{2} + 2 \, a c^{2} d^{2} e^{4}\right)} x^{2} + 5 \, {\left(c^{3} d^{5} e + 2 \, a c^{2} d^{3} e^{3} + 3 \, a^{2} c d e^{5}\right)} x}{20 \, {\left(e^{9} x^{5} + 5 \, d e^{8} x^{4} + 10 \, d^{2} e^{7} x^{3} + 10 \, d^{3} e^{6} x^{2} + 5 \, d^{4} e^{5} x + d^{5} e^{4}\right)}}"," ",0,"-1/20*(10*c^3*d^3*e^3*x^3 + c^3*d^6 + 2*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 4*a^3*e^6 + 10*(c^3*d^4*e^2 + 2*a*c^2*d^2*e^4)*x^2 + 5*(c^3*d^5*e + 2*a*c^2*d^3*e^3 + 3*a^2*c*d*e^5)*x)/(e^9*x^5 + 5*d*e^8*x^4 + 10*d^2*e^7*x^3 + 10*d^3*e^6*x^2 + 5*d^4*e^5*x + d^5*e^4)","B",0
1863,1,186,0,1.260286," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{20 \, c^{3} d^{3} e^{3} x^{3} + c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 6 \, a^{2} c d^{2} e^{4} + 10 \, a^{3} e^{6} + 15 \, {\left(c^{3} d^{4} e^{2} + 3 \, a c^{2} d^{2} e^{4}\right)} x^{2} + 6 \, {\left(c^{3} d^{5} e + 3 \, a c^{2} d^{3} e^{3} + 6 \, a^{2} c d e^{5}\right)} x}{60 \, {\left(e^{10} x^{6} + 6 \, d e^{9} x^{5} + 15 \, d^{2} e^{8} x^{4} + 20 \, d^{3} e^{7} x^{3} + 15 \, d^{4} e^{6} x^{2} + 6 \, d^{5} e^{5} x + d^{6} e^{4}\right)}}"," ",0,"-1/60*(20*c^3*d^3*e^3*x^3 + c^3*d^6 + 3*a*c^2*d^4*e^2 + 6*a^2*c*d^2*e^4 + 10*a^3*e^6 + 15*(c^3*d^4*e^2 + 3*a*c^2*d^2*e^4)*x^2 + 6*(c^3*d^5*e + 3*a*c^2*d^3*e^3 + 6*a^2*c*d*e^5)*x)/(e^10*x^6 + 6*d*e^9*x^5 + 15*d^2*e^8*x^4 + 20*d^3*e^7*x^3 + 15*d^4*e^6*x^2 + 6*d^5*e^5*x + d^6*e^4)","A",0
1864,1,197,0,1.091560," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^11,x, algorithm=""maxima"")","-\frac{35 \, c^{3} d^{3} e^{3} x^{3} + c^{3} d^{6} + 4 \, a c^{2} d^{4} e^{2} + 10 \, a^{2} c d^{2} e^{4} + 20 \, a^{3} e^{6} + 21 \, {\left(c^{3} d^{4} e^{2} + 4 \, a c^{2} d^{2} e^{4}\right)} x^{2} + 7 \, {\left(c^{3} d^{5} e + 4 \, a c^{2} d^{3} e^{3} + 10 \, a^{2} c d e^{5}\right)} x}{140 \, {\left(e^{11} x^{7} + 7 \, d e^{10} x^{6} + 21 \, d^{2} e^{9} x^{5} + 35 \, d^{3} e^{8} x^{4} + 35 \, d^{4} e^{7} x^{3} + 21 \, d^{5} e^{6} x^{2} + 7 \, d^{6} e^{5} x + d^{7} e^{4}\right)}}"," ",0,"-1/140*(35*c^3*d^3*e^3*x^3 + c^3*d^6 + 4*a*c^2*d^4*e^2 + 10*a^2*c*d^2*e^4 + 20*a^3*e^6 + 21*(c^3*d^4*e^2 + 4*a*c^2*d^2*e^4)*x^2 + 7*(c^3*d^5*e + 4*a*c^2*d^3*e^3 + 10*a^2*c*d*e^5)*x)/(e^11*x^7 + 7*d*e^10*x^6 + 21*d^2*e^9*x^5 + 35*d^3*e^8*x^4 + 35*d^4*e^7*x^3 + 21*d^5*e^6*x^2 + 7*d^6*e^5*x + d^7*e^4)","A",0
1865,1,205,0,1.043442," ","integrate((e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{3 \, c^{3} d^{3} e^{4} x^{4} + 4 \, {\left(4 \, c^{3} d^{4} e^{3} - a c^{2} d^{2} e^{5}\right)} x^{3} + 6 \, {\left(6 \, c^{3} d^{5} e^{2} - 4 \, a c^{2} d^{3} e^{4} + a^{2} c d e^{6}\right)} x^{2} + 12 \, {\left(4 \, c^{3} d^{6} e - 6 \, a c^{2} d^{4} e^{3} + 4 \, a^{2} c d^{2} e^{5} - a^{3} e^{7}\right)} x}{12 \, c^{4} d^{4}} + \frac{{\left(c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}\right)} \log\left(c d x + a e\right)}{c^{5} d^{5}}"," ",0,"1/12*(3*c^3*d^3*e^4*x^4 + 4*(4*c^3*d^4*e^3 - a*c^2*d^2*e^5)*x^3 + 6*(6*c^3*d^5*e^2 - 4*a*c^2*d^3*e^4 + a^2*c*d*e^6)*x^2 + 12*(4*c^3*d^6*e - 6*a*c^2*d^4*e^3 + 4*a^2*c*d^2*e^5 - a^3*e^7)*x)/(c^4*d^4) + (c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8)*log(c*d*x + a*e)/(c^5*d^5)","A",0
1866,1,135,0,1.067214," ","integrate((e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{2 \, c^{2} d^{2} e^{3} x^{3} + 3 \, {\left(3 \, c^{2} d^{3} e^{2} - a c d e^{4}\right)} x^{2} + 6 \, {\left(3 \, c^{2} d^{4} e - 3 \, a c d^{2} e^{3} + a^{2} e^{5}\right)} x}{6 \, c^{3} d^{3}} + \frac{{\left(c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}\right)} \log\left(c d x + a e\right)}{c^{4} d^{4}}"," ",0,"1/6*(2*c^2*d^2*e^3*x^3 + 3*(3*c^2*d^3*e^2 - a*c*d*e^4)*x^2 + 6*(3*c^2*d^4*e - 3*a*c*d^2*e^3 + a^2*e^5)*x)/(c^3*d^3) + (c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6)*log(c*d*x + a*e)/(c^4*d^4)","A",0
1867,1,77,0,1.283698," ","integrate((e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{c d e^{2} x^{2} + 2 \, {\left(2 \, c d^{2} e - a e^{3}\right)} x}{2 \, c^{2} d^{2}} + \frac{{\left(c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \log\left(c d x + a e\right)}{c^{3} d^{3}}"," ",0,"1/2*(c*d*e^2*x^2 + 2*(2*c*d^2*e - a*e^3)*x)/(c^2*d^2) + (c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4)*log(c*d*x + a*e)/(c^3*d^3)","A",0
1868,1,38,0,0.965133," ","integrate((e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{e x}{c d} + \frac{{\left(c d^{2} - a e^{2}\right)} \log\left(c d x + a e\right)}{c^{2} d^{2}}"," ",0,"e*x/(c*d) + (c*d^2 - a*e^2)*log(c*d*x + a*e)/(c^2*d^2)","A",0
1869,1,16,0,1.049766," ","integrate((e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{\log\left(c d x + a e\right)}{c d}"," ",0,"log(c*d*x + a*e)/(c*d)","A",0
1870,1,47,0,1.048990," ","integrate(1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{\log\left(c d x + a e\right)}{c d^{2} - a e^{2}} - \frac{\log\left(e x + d\right)}{c d^{2} - a e^{2}}"," ",0,"log(c*d*x + a*e)/(c*d^2 - a*e^2) - log(e*x + d)/(c*d^2 - a*e^2)","A",0
1871,1,107,0,0.976084," ","integrate(1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{c d \log\left(c d x + a e\right)}{c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}} - \frac{c d \log\left(e x + d\right)}{c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}} + \frac{1}{c d^{3} - a d e^{2} + {\left(c d^{2} e - a e^{3}\right)} x}"," ",0,"c*d*log(c*d*x + a*e)/(c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4) - c*d*log(e*x + d)/(c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4) + 1/(c*d^3 - a*d*e^2 + (c*d^2*e - a*e^3)*x)","A",0
1872,1,228,0,1.070203," ","integrate(1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{c^{2} d^{2} \log\left(c d x + a e\right)}{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}} - \frac{c^{2} d^{2} \log\left(e x + d\right)}{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}} + \frac{2 \, c d e x + 3 \, c d^{2} - a e^{2}}{2 \, {\left(c^{2} d^{6} - 2 \, a c d^{4} e^{2} + a^{2} d^{2} e^{4} + {\left(c^{2} d^{4} e^{2} - 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)} x^{2} + 2 \, {\left(c^{2} d^{5} e - 2 \, a c d^{3} e^{3} + a^{2} d e^{5}\right)} x\right)}}"," ",0,"c^2*d^2*log(c*d*x + a*e)/(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6) - c^2*d^2*log(e*x + d)/(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6) + 1/2*(2*c*d*e*x + 3*c*d^2 - a*e^2)/(c^2*d^6 - 2*a*c*d^4*e^2 + a^2*d^2*e^4 + (c^2*d^4*e^2 - 2*a*c*d^2*e^4 + a^2*e^6)*x^2 + 2*(c^2*d^5*e - 2*a*c*d^3*e^3 + a^2*d*e^5)*x)","B",0
1873,1,393,0,1.210890," ","integrate(1/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{c^{3} d^{3} \log\left(c d x + a e\right)}{c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} - \frac{c^{3} d^{3} \log\left(e x + d\right)}{c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} + \frac{6 \, c^{2} d^{2} e^{2} x^{2} + 11 \, c^{2} d^{4} - 7 \, a c d^{2} e^{2} + 2 \, a^{2} e^{4} + 3 \, {\left(5 \, c^{2} d^{3} e - a c d e^{3}\right)} x}{6 \, {\left(c^{3} d^{9} - 3 \, a c^{2} d^{7} e^{2} + 3 \, a^{2} c d^{5} e^{4} - a^{3} d^{3} e^{6} + {\left(c^{3} d^{6} e^{3} - 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} - a^{3} e^{9}\right)} x^{3} + 3 \, {\left(c^{3} d^{7} e^{2} - 3 \, a c^{2} d^{5} e^{4} + 3 \, a^{2} c d^{3} e^{6} - a^{3} d e^{8}\right)} x^{2} + 3 \, {\left(c^{3} d^{8} e - 3 \, a c^{2} d^{6} e^{3} + 3 \, a^{2} c d^{4} e^{5} - a^{3} d^{2} e^{7}\right)} x\right)}}"," ",0,"c^3*d^3*log(c*d*x + a*e)/(c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8) - c^3*d^3*log(e*x + d)/(c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8) + 1/6*(6*c^2*d^2*e^2*x^2 + 11*c^2*d^4 - 7*a*c*d^2*e^2 + 2*a^2*e^4 + 3*(5*c^2*d^3*e - a*c*d*e^3)*x)/(c^3*d^9 - 3*a*c^2*d^7*e^2 + 3*a^2*c*d^5*e^4 - a^3*d^3*e^6 + (c^3*d^6*e^3 - 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 - a^3*e^9)*x^3 + 3*(c^3*d^7*e^2 - 3*a*c^2*d^5*e^4 + 3*a^2*c*d^3*e^6 - a^3*d*e^8)*x^2 + 3*(c^3*d^8*e - 3*a*c^2*d^6*e^3 + 3*a^2*c*d^4*e^5 - a^3*d^2*e^7)*x)","B",0
1874,1,398,0,1.115383," ","integrate((e*x+d)^8/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{c^{6} d^{12} - 6 \, a c^{5} d^{10} e^{2} + 15 \, a^{2} c^{4} d^{8} e^{4} - 20 \, a^{3} c^{3} d^{6} e^{6} + 15 \, a^{4} c^{2} d^{4} e^{8} - 6 \, a^{5} c d^{2} e^{10} + a^{6} e^{12}}{c^{8} d^{8} x + a c^{7} d^{7} e} + \frac{2 \, c^{4} d^{4} e^{6} x^{5} + 5 \, {\left(3 \, c^{4} d^{5} e^{5} - a c^{3} d^{3} e^{7}\right)} x^{4} + 10 \, {\left(5 \, c^{4} d^{6} e^{4} - 4 \, a c^{3} d^{4} e^{6} + a^{2} c^{2} d^{2} e^{8}\right)} x^{3} + 10 \, {\left(10 \, c^{4} d^{7} e^{3} - 15 \, a c^{3} d^{5} e^{5} + 9 \, a^{2} c^{2} d^{3} e^{7} - 2 \, a^{3} c d e^{9}\right)} x^{2} + 10 \, {\left(15 \, c^{4} d^{8} e^{2} - 40 \, a c^{3} d^{6} e^{4} + 45 \, a^{2} c^{2} d^{4} e^{6} - 24 \, a^{3} c d^{2} e^{8} + 5 \, a^{4} e^{10}\right)} x}{10 \, c^{6} d^{6}} + \frac{6 \, {\left(c^{5} d^{10} e - 5 \, a c^{4} d^{8} e^{3} + 10 \, a^{2} c^{3} d^{6} e^{5} - 10 \, a^{3} c^{2} d^{4} e^{7} + 5 \, a^{4} c d^{2} e^{9} - a^{5} e^{11}\right)} \log\left(c d x + a e\right)}{c^{7} d^{7}}"," ",0,"-(c^6*d^12 - 6*a*c^5*d^10*e^2 + 15*a^2*c^4*d^8*e^4 - 20*a^3*c^3*d^6*e^6 + 15*a^4*c^2*d^4*e^8 - 6*a^5*c*d^2*e^10 + a^6*e^12)/(c^8*d^8*x + a*c^7*d^7*e) + 1/10*(2*c^4*d^4*e^6*x^5 + 5*(3*c^4*d^5*e^5 - a*c^3*d^3*e^7)*x^4 + 10*(5*c^4*d^6*e^4 - 4*a*c^3*d^4*e^6 + a^2*c^2*d^2*e^8)*x^3 + 10*(10*c^4*d^7*e^3 - 15*a*c^3*d^5*e^5 + 9*a^2*c^2*d^3*e^7 - 2*a^3*c*d*e^9)*x^2 + 10*(15*c^4*d^8*e^2 - 40*a*c^3*d^6*e^4 + 45*a^2*c^2*d^4*e^6 - 24*a^3*c*d^2*e^8 + 5*a^4*e^10)*x)/(c^6*d^6) + 6*(c^5*d^10*e - 5*a*c^4*d^8*e^3 + 10*a^2*c^3*d^6*e^5 - 10*a^3*c^2*d^4*e^7 + 5*a^4*c*d^2*e^9 - a^5*e^11)*log(c*d*x + a*e)/(c^7*d^7)","A",0
1875,1,300,0,1.070759," ","integrate((e*x+d)^7/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{c^{5} d^{10} - 5 \, a c^{4} d^{8} e^{2} + 10 \, a^{2} c^{3} d^{6} e^{4} - 10 \, a^{3} c^{2} d^{4} e^{6} + 5 \, a^{4} c d^{2} e^{8} - a^{5} e^{10}}{c^{7} d^{7} x + a c^{6} d^{6} e} + \frac{3 \, c^{3} d^{3} e^{5} x^{4} + 4 \, {\left(5 \, c^{3} d^{4} e^{4} - 2 \, a c^{2} d^{2} e^{6}\right)} x^{3} + 6 \, {\left(10 \, c^{3} d^{5} e^{3} - 10 \, a c^{2} d^{3} e^{5} + 3 \, a^{2} c d e^{7}\right)} x^{2} + 12 \, {\left(10 \, c^{3} d^{6} e^{2} - 20 \, a c^{2} d^{4} e^{4} + 15 \, a^{2} c d^{2} e^{6} - 4 \, a^{3} e^{8}\right)} x}{12 \, c^{5} d^{5}} + \frac{5 \, {\left(c^{4} d^{8} e - 4 \, a c^{3} d^{6} e^{3} + 6 \, a^{2} c^{2} d^{4} e^{5} - 4 \, a^{3} c d^{2} e^{7} + a^{4} e^{9}\right)} \log\left(c d x + a e\right)}{c^{6} d^{6}}"," ",0,"-(c^5*d^10 - 5*a*c^4*d^8*e^2 + 10*a^2*c^3*d^6*e^4 - 10*a^3*c^2*d^4*e^6 + 5*a^4*c*d^2*e^8 - a^5*e^10)/(c^7*d^7*x + a*c^6*d^6*e) + 1/12*(3*c^3*d^3*e^5*x^4 + 4*(5*c^3*d^4*e^4 - 2*a*c^2*d^2*e^6)*x^3 + 6*(10*c^3*d^5*e^3 - 10*a*c^2*d^3*e^5 + 3*a^2*c*d*e^7)*x^2 + 12*(10*c^3*d^6*e^2 - 20*a*c^2*d^4*e^4 + 15*a^2*c*d^2*e^6 - 4*a^3*e^8)*x)/(c^5*d^5) + 5*(c^4*d^8*e - 4*a*c^3*d^6*e^3 + 6*a^2*c^2*d^4*e^5 - 4*a^3*c*d^2*e^7 + a^4*e^9)*log(c*d*x + a*e)/(c^6*d^6)","A",0
1876,1,214,0,1.025217," ","integrate((e*x+d)^6/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}}{c^{6} d^{6} x + a c^{5} d^{5} e} + \frac{c^{2} d^{2} e^{4} x^{3} + 3 \, {\left(2 \, c^{2} d^{3} e^{3} - a c d e^{5}\right)} x^{2} + 3 \, {\left(6 \, c^{2} d^{4} e^{2} - 8 \, a c d^{2} e^{4} + 3 \, a^{2} e^{6}\right)} x}{3 \, c^{4} d^{4}} + \frac{4 \, {\left(c^{3} d^{6} e - 3 \, a c^{2} d^{4} e^{3} + 3 \, a^{2} c d^{2} e^{5} - a^{3} e^{7}\right)} \log\left(c d x + a e\right)}{c^{5} d^{5}}"," ",0,"-(c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8)/(c^6*d^6*x + a*c^5*d^5*e) + 1/3*(c^2*d^2*e^4*x^3 + 3*(2*c^2*d^3*e^3 - a*c*d*e^5)*x^2 + 3*(6*c^2*d^4*e^2 - 8*a*c*d^2*e^4 + 3*a^2*e^6)*x)/(c^4*d^4) + 4*(c^3*d^6*e - 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 - a^3*e^7)*log(c*d*x + a*e)/(c^5*d^5)","A",0
1877,1,143,0,1.100731," ","integrate((e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}}{c^{5} d^{5} x + a c^{4} d^{4} e} + \frac{c d e^{3} x^{2} + 2 \, {\left(3 \, c d^{2} e^{2} - 2 \, a e^{4}\right)} x}{2 \, c^{3} d^{3}} + \frac{3 \, {\left(c^{2} d^{4} e - 2 \, a c d^{2} e^{3} + a^{2} e^{5}\right)} \log\left(c d x + a e\right)}{c^{4} d^{4}}"," ",0,"-(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6)/(c^5*d^5*x + a*c^4*d^4*e) + 1/2*(c*d*e^3*x^2 + 2*(3*c*d^2*e^2 - 2*a*e^4)*x)/(c^3*d^3) + 3*(c^2*d^4*e - 2*a*c*d^2*e^3 + a^2*e^5)*log(c*d*x + a*e)/(c^4*d^4)","A",0
1878,1,89,0,1.008531," ","integrate((e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}}{c^{4} d^{4} x + a c^{3} d^{3} e} + \frac{e^{2} x}{c^{2} d^{2}} + \frac{2 \, {\left(c d^{2} e - a e^{3}\right)} \log\left(c d x + a e\right)}{c^{3} d^{3}}"," ",0,"-(c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4)/(c^4*d^4*x + a*c^3*d^3*e) + e^2*x/(c^2*d^2) + 2*(c*d^2*e - a*e^3)*log(c*d*x + a*e)/(c^3*d^3)","A",0
1879,1,52,0,1.094450," ","integrate((e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{c d^{2} - a e^{2}}{c^{3} d^{3} x + a c^{2} d^{2} e} + \frac{e \log\left(c d x + a e\right)}{c^{2} d^{2}}"," ",0,"-(c*d^2 - a*e^2)/(c^3*d^3*x + a*c^2*d^2*e) + e*log(c*d*x + a*e)/(c^2*d^2)","A",0
1880,1,18,0,0.997859," ","integrate((e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{1}{c^{2} d^{2} x + a c d e}"," ",0,"-1/(c^2*d^2*x + a*c*d*e)","A",0
1881,1,113,0,1.030888," ","integrate((e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{e \log\left(c d x + a e\right)}{c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}} + \frac{e \log\left(e x + d\right)}{c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}} - \frac{1}{a c d^{2} e - a^{2} e^{3} + {\left(c^{2} d^{3} - a c d e^{2}\right)} x}"," ",0,"-e*log(c*d*x + a*e)/(c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4) + e*log(e*x + d)/(c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4) - 1/(a*c*d^2*e - a^2*e^3 + (c^2*d^3 - a*c*d*e^2)*x)","A",0
1882,1,236,0,1.009379," ","integrate(1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{2 \, c d e \log\left(c d x + a e\right)}{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}} + \frac{2 \, c d e \log\left(e x + d\right)}{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}} - \frac{2 \, c d e x + c d^{2} + a e^{2}}{a c^{2} d^{5} e - 2 \, a^{2} c d^{3} e^{3} + a^{3} d e^{5} + {\left(c^{3} d^{5} e - 2 \, a c^{2} d^{3} e^{3} + a^{2} c d e^{5}\right)} x^{2} + {\left(c^{3} d^{6} - a c^{2} d^{4} e^{2} - a^{2} c d^{2} e^{4} + a^{3} e^{6}\right)} x}"," ",0,"-2*c*d*e*log(c*d*x + a*e)/(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6) + 2*c*d*e*log(e*x + d)/(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6) - (2*c*d*e*x + c*d^2 + a*e^2)/(a*c^2*d^5*e - 2*a^2*c*d^3*e^3 + a^3*d*e^5 + (c^3*d^5*e - 2*a*c^2*d^3*e^3 + a^2*c*d*e^5)*x^2 + (c^3*d^6 - a*c^2*d^4*e^2 - a^2*c*d^2*e^4 + a^3*e^6)*x)","B",0
1883,1,423,0,1.309144," ","integrate(1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{3 \, c^{2} d^{2} e \log\left(c d x + a e\right)}{c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} + \frac{3 \, c^{2} d^{2} e \log\left(e x + d\right)}{c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} - \frac{6 \, c^{2} d^{2} e^{2} x^{2} + 2 \, c^{2} d^{4} + 5 \, a c d^{2} e^{2} - a^{2} e^{4} + 3 \, {\left(3 \, c^{2} d^{3} e + a c d e^{3}\right)} x}{2 \, {\left(a c^{3} d^{8} e - 3 \, a^{2} c^{2} d^{6} e^{3} + 3 \, a^{3} c d^{4} e^{5} - a^{4} d^{2} e^{7} + {\left(c^{4} d^{7} e^{2} - 3 \, a c^{3} d^{5} e^{4} + 3 \, a^{2} c^{2} d^{3} e^{6} - a^{3} c d e^{8}\right)} x^{3} + {\left(2 \, c^{4} d^{8} e - 5 \, a c^{3} d^{6} e^{3} + 3 \, a^{2} c^{2} d^{4} e^{5} + a^{3} c d^{2} e^{7} - a^{4} e^{9}\right)} x^{2} + {\left(c^{4} d^{9} - a c^{3} d^{7} e^{2} - 3 \, a^{2} c^{2} d^{5} e^{4} + 5 \, a^{3} c d^{3} e^{6} - 2 \, a^{4} d e^{8}\right)} x\right)}}"," ",0,"-3*c^2*d^2*e*log(c*d*x + a*e)/(c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8) + 3*c^2*d^2*e*log(e*x + d)/(c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8) - 1/2*(6*c^2*d^2*e^2*x^2 + 2*c^2*d^4 + 5*a*c*d^2*e^2 - a^2*e^4 + 3*(3*c^2*d^3*e + a*c*d*e^3)*x)/(a*c^3*d^8*e - 3*a^2*c^2*d^6*e^3 + 3*a^3*c*d^4*e^5 - a^4*d^2*e^7 + (c^4*d^7*e^2 - 3*a*c^3*d^5*e^4 + 3*a^2*c^2*d^3*e^6 - a^3*c*d*e^8)*x^3 + (2*c^4*d^8*e - 5*a*c^3*d^6*e^3 + 3*a^2*c^2*d^4*e^5 + a^3*c*d^2*e^7 - a^4*e^9)*x^2 + (c^4*d^9 - a*c^3*d^7*e^2 - 3*a^2*c^2*d^5*e^4 + 5*a^3*c*d^3*e^6 - 2*a^4*d*e^8)*x)","B",0
1884,1,641,0,1.328894," ","integrate(1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","-\frac{4 \, c^{3} d^{3} e \log\left(c d x + a e\right)}{c^{5} d^{10} - 5 \, a c^{4} d^{8} e^{2} + 10 \, a^{2} c^{3} d^{6} e^{4} - 10 \, a^{3} c^{2} d^{4} e^{6} + 5 \, a^{4} c d^{2} e^{8} - a^{5} e^{10}} + \frac{4 \, c^{3} d^{3} e \log\left(e x + d\right)}{c^{5} d^{10} - 5 \, a c^{4} d^{8} e^{2} + 10 \, a^{2} c^{3} d^{6} e^{4} - 10 \, a^{3} c^{2} d^{4} e^{6} + 5 \, a^{4} c d^{2} e^{8} - a^{5} e^{10}} - \frac{12 \, c^{3} d^{3} e^{3} x^{3} + 3 \, c^{3} d^{6} + 13 \, a c^{2} d^{4} e^{2} - 5 \, a^{2} c d^{2} e^{4} + a^{3} e^{6} + 6 \, {\left(5 \, c^{3} d^{4} e^{2} + a c^{2} d^{2} e^{4}\right)} x^{2} + 2 \, {\left(11 \, c^{3} d^{5} e + 8 \, a c^{2} d^{3} e^{3} - a^{2} c d e^{5}\right)} x}{3 \, {\left(a c^{4} d^{11} e - 4 \, a^{2} c^{3} d^{9} e^{3} + 6 \, a^{3} c^{2} d^{7} e^{5} - 4 \, a^{4} c d^{5} e^{7} + a^{5} d^{3} e^{9} + {\left(c^{5} d^{9} e^{3} - 4 \, a c^{4} d^{7} e^{5} + 6 \, a^{2} c^{3} d^{5} e^{7} - 4 \, a^{3} c^{2} d^{3} e^{9} + a^{4} c d e^{11}\right)} x^{4} + {\left(3 \, c^{5} d^{10} e^{2} - 11 \, a c^{4} d^{8} e^{4} + 14 \, a^{2} c^{3} d^{6} e^{6} - 6 \, a^{3} c^{2} d^{4} e^{8} - a^{4} c d^{2} e^{10} + a^{5} e^{12}\right)} x^{3} + 3 \, {\left(c^{5} d^{11} e - 3 \, a c^{4} d^{9} e^{3} + 2 \, a^{2} c^{3} d^{7} e^{5} + 2 \, a^{3} c^{2} d^{5} e^{7} - 3 \, a^{4} c d^{3} e^{9} + a^{5} d e^{11}\right)} x^{2} + {\left(c^{5} d^{12} - a c^{4} d^{10} e^{2} - 6 \, a^{2} c^{3} d^{8} e^{4} + 14 \, a^{3} c^{2} d^{6} e^{6} - 11 \, a^{4} c d^{4} e^{8} + 3 \, a^{5} d^{2} e^{10}\right)} x\right)}}"," ",0,"-4*c^3*d^3*e*log(c*d*x + a*e)/(c^5*d^10 - 5*a*c^4*d^8*e^2 + 10*a^2*c^3*d^6*e^4 - 10*a^3*c^2*d^4*e^6 + 5*a^4*c*d^2*e^8 - a^5*e^10) + 4*c^3*d^3*e*log(e*x + d)/(c^5*d^10 - 5*a*c^4*d^8*e^2 + 10*a^2*c^3*d^6*e^4 - 10*a^3*c^2*d^4*e^6 + 5*a^4*c*d^2*e^8 - a^5*e^10) - 1/3*(12*c^3*d^3*e^3*x^3 + 3*c^3*d^6 + 13*a*c^2*d^4*e^2 - 5*a^2*c*d^2*e^4 + a^3*e^6 + 6*(5*c^3*d^4*e^2 + a*c^2*d^2*e^4)*x^2 + 2*(11*c^3*d^5*e + 8*a*c^2*d^3*e^3 - a^2*c*d*e^5)*x)/(a*c^4*d^11*e - 4*a^2*c^3*d^9*e^3 + 6*a^3*c^2*d^7*e^5 - 4*a^4*c*d^5*e^7 + a^5*d^3*e^9 + (c^5*d^9*e^3 - 4*a*c^4*d^7*e^5 + 6*a^2*c^3*d^5*e^7 - 4*a^3*c^2*d^3*e^9 + a^4*c*d*e^11)*x^4 + (3*c^5*d^10*e^2 - 11*a*c^4*d^8*e^4 + 14*a^2*c^3*d^6*e^6 - 6*a^3*c^2*d^4*e^8 - a^4*c*d^2*e^10 + a^5*e^12)*x^3 + 3*(c^5*d^11*e - 3*a*c^4*d^9*e^3 + 2*a^2*c^3*d^7*e^5 + 2*a^3*c^2*d^5*e^7 - 3*a^4*c*d^3*e^9 + a^5*d*e^11)*x^2 + (c^5*d^12 - a*c^4*d^10*e^2 - 6*a^2*c^3*d^8*e^4 + 14*a^3*c^2*d^6*e^6 - 11*a^4*c*d^4*e^8 + 3*a^5*d^2*e^10)*x)","B",0
1885,1,408,0,1.196168," ","integrate((e*x+d)^9/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","-\frac{c^{6} d^{12} + 6 \, a c^{5} d^{10} e^{2} - 45 \, a^{2} c^{4} d^{8} e^{4} + 100 \, a^{3} c^{3} d^{6} e^{6} - 105 \, a^{4} c^{2} d^{4} e^{8} + 54 \, a^{5} c d^{2} e^{10} - 11 \, a^{6} e^{12} + 12 \, {\left(c^{6} d^{11} e - 5 \, a c^{5} d^{9} e^{3} + 10 \, a^{2} c^{4} d^{7} e^{5} - 10 \, a^{3} c^{3} d^{5} e^{7} + 5 \, a^{4} c^{2} d^{3} e^{9} - a^{5} c d e^{11}\right)} x}{2 \, {\left(c^{9} d^{9} x^{2} + 2 \, a c^{8} d^{8} e x + a^{2} c^{7} d^{7} e^{2}\right)}} + \frac{c^{3} d^{3} e^{6} x^{4} + 4 \, {\left(2 \, c^{3} d^{4} e^{5} - a c^{2} d^{2} e^{7}\right)} x^{3} + 6 \, {\left(5 \, c^{3} d^{5} e^{4} - 6 \, a c^{2} d^{3} e^{6} + 2 \, a^{2} c d e^{8}\right)} x^{2} + 4 \, {\left(20 \, c^{3} d^{6} e^{3} - 45 \, a c^{2} d^{4} e^{5} + 36 \, a^{2} c d^{2} e^{7} - 10 \, a^{3} e^{9}\right)} x}{4 \, c^{6} d^{6}} + \frac{15 \, {\left(c^{4} d^{8} e^{2} - 4 \, a c^{3} d^{6} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{6} - 4 \, a^{3} c d^{2} e^{8} + a^{4} e^{10}\right)} \log\left(c d x + a e\right)}{c^{7} d^{7}}"," ",0,"-1/2*(c^6*d^12 + 6*a*c^5*d^10*e^2 - 45*a^2*c^4*d^8*e^4 + 100*a^3*c^3*d^6*e^6 - 105*a^4*c^2*d^4*e^8 + 54*a^5*c*d^2*e^10 - 11*a^6*e^12 + 12*(c^6*d^11*e - 5*a*c^5*d^9*e^3 + 10*a^2*c^4*d^7*e^5 - 10*a^3*c^3*d^5*e^7 + 5*a^4*c^2*d^3*e^9 - a^5*c*d*e^11)*x)/(c^9*d^9*x^2 + 2*a*c^8*d^8*e*x + a^2*c^7*d^7*e^2) + 1/4*(c^3*d^3*e^6*x^4 + 4*(2*c^3*d^4*e^5 - a*c^2*d^2*e^7)*x^3 + 6*(5*c^3*d^5*e^4 - 6*a*c^2*d^3*e^6 + 2*a^2*c*d*e^8)*x^2 + 4*(20*c^3*d^6*e^3 - 45*a*c^2*d^4*e^5 + 36*a^2*c*d^2*e^7 - 10*a^3*e^9)*x)/(c^6*d^6) + 15*(c^4*d^8*e^2 - 4*a*c^3*d^6*e^4 + 6*a^2*c^2*d^4*e^6 - 4*a^3*c*d^2*e^8 + a^4*e^10)*log(c*d*x + a*e)/(c^7*d^7)","A",0
1886,1,310,0,1.275174," ","integrate((e*x+d)^8/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","-\frac{c^{5} d^{10} + 5 \, a c^{4} d^{8} e^{2} - 30 \, a^{2} c^{3} d^{6} e^{4} + 50 \, a^{3} c^{2} d^{4} e^{6} - 35 \, a^{4} c d^{2} e^{8} + 9 \, a^{5} e^{10} + 10 \, {\left(c^{5} d^{9} e - 4 \, a c^{4} d^{7} e^{3} + 6 \, a^{2} c^{3} d^{5} e^{5} - 4 \, a^{3} c^{2} d^{3} e^{7} + a^{4} c d e^{9}\right)} x}{2 \, {\left(c^{8} d^{8} x^{2} + 2 \, a c^{7} d^{7} e x + a^{2} c^{6} d^{6} e^{2}\right)}} + \frac{2 \, c^{2} d^{2} e^{5} x^{3} + 3 \, {\left(5 \, c^{2} d^{3} e^{4} - 3 \, a c d e^{6}\right)} x^{2} + 6 \, {\left(10 \, c^{2} d^{4} e^{3} - 15 \, a c d^{2} e^{5} + 6 \, a^{2} e^{7}\right)} x}{6 \, c^{5} d^{5}} + \frac{10 \, {\left(c^{3} d^{6} e^{2} - 3 \, a c^{2} d^{4} e^{4} + 3 \, a^{2} c d^{2} e^{6} - a^{3} e^{8}\right)} \log\left(c d x + a e\right)}{c^{6} d^{6}}"," ",0,"-1/2*(c^5*d^10 + 5*a*c^4*d^8*e^2 - 30*a^2*c^3*d^6*e^4 + 50*a^3*c^2*d^4*e^6 - 35*a^4*c*d^2*e^8 + 9*a^5*e^10 + 10*(c^5*d^9*e - 4*a*c^4*d^7*e^3 + 6*a^2*c^3*d^5*e^5 - 4*a^3*c^2*d^3*e^7 + a^4*c*d*e^9)*x)/(c^8*d^8*x^2 + 2*a*c^7*d^7*e*x + a^2*c^6*d^6*e^2) + 1/6*(2*c^2*d^2*e^5*x^3 + 3*(5*c^2*d^3*e^4 - 3*a*c*d*e^6)*x^2 + 6*(10*c^2*d^4*e^3 - 15*a*c*d^2*e^5 + 6*a^2*e^7)*x)/(c^5*d^5) + 10*(c^3*d^6*e^2 - 3*a*c^2*d^4*e^4 + 3*a^2*c*d^2*e^6 - a^3*e^8)*log(c*d*x + a*e)/(c^6*d^6)","A",0
1887,1,224,0,1.201658," ","integrate((e*x+d)^7/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","-\frac{c^{4} d^{8} + 4 \, a c^{3} d^{6} e^{2} - 18 \, a^{2} c^{2} d^{4} e^{4} + 20 \, a^{3} c d^{2} e^{6} - 7 \, a^{4} e^{8} + 8 \, {\left(c^{4} d^{7} e - 3 \, a c^{3} d^{5} e^{3} + 3 \, a^{2} c^{2} d^{3} e^{5} - a^{3} c d e^{7}\right)} x}{2 \, {\left(c^{7} d^{7} x^{2} + 2 \, a c^{6} d^{6} e x + a^{2} c^{5} d^{5} e^{2}\right)}} + \frac{c d e^{4} x^{2} + 2 \, {\left(4 \, c d^{2} e^{3} - 3 \, a e^{5}\right)} x}{2 \, c^{4} d^{4}} + \frac{6 \, {\left(c^{2} d^{4} e^{2} - 2 \, a c d^{2} e^{4} + a^{2} e^{6}\right)} \log\left(c d x + a e\right)}{c^{5} d^{5}}"," ",0,"-1/2*(c^4*d^8 + 4*a*c^3*d^6*e^2 - 18*a^2*c^2*d^4*e^4 + 20*a^3*c*d^2*e^6 - 7*a^4*e^8 + 8*(c^4*d^7*e - 3*a*c^3*d^5*e^3 + 3*a^2*c^2*d^3*e^5 - a^3*c*d*e^7)*x)/(c^7*d^7*x^2 + 2*a*c^6*d^6*e*x + a^2*c^5*d^5*e^2) + 1/2*(c*d*e^4*x^2 + 2*(4*c*d^2*e^3 - 3*a*e^5)*x)/(c^4*d^4) + 6*(c^2*d^4*e^2 - 2*a*c*d^2*e^4 + a^2*e^6)*log(c*d*x + a*e)/(c^5*d^5)","A",0
1888,1,156,0,1.140962," ","integrate((e*x+d)^6/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","-\frac{c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} - 9 \, a^{2} c d^{2} e^{4} + 5 \, a^{3} e^{6} + 6 \, {\left(c^{3} d^{5} e - 2 \, a c^{2} d^{3} e^{3} + a^{2} c d e^{5}\right)} x}{2 \, {\left(c^{6} d^{6} x^{2} + 2 \, a c^{5} d^{5} e x + a^{2} c^{4} d^{4} e^{2}\right)}} + \frac{e^{3} x}{c^{3} d^{3}} + \frac{3 \, {\left(c d^{2} e^{2} - a e^{4}\right)} \log\left(c d x + a e\right)}{c^{4} d^{4}}"," ",0,"-1/2*(c^3*d^6 + 3*a*c^2*d^4*e^2 - 9*a^2*c*d^2*e^4 + 5*a^3*e^6 + 6*(c^3*d^5*e - 2*a*c^2*d^3*e^3 + a^2*c*d*e^5)*x)/(c^6*d^6*x^2 + 2*a*c^5*d^5*e*x + a^2*c^4*d^4*e^2) + e^3*x/(c^3*d^3) + 3*(c*d^2*e^2 - a*e^4)*log(c*d*x + a*e)/(c^4*d^4)","A",0
1889,1,105,0,1.179954," ","integrate((e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","-\frac{c^{2} d^{4} + 2 \, a c d^{2} e^{2} - 3 \, a^{2} e^{4} + 4 \, {\left(c^{2} d^{3} e - a c d e^{3}\right)} x}{2 \, {\left(c^{5} d^{5} x^{2} + 2 \, a c^{4} d^{4} e x + a^{2} c^{3} d^{3} e^{2}\right)}} + \frac{e^{2} \log\left(c d x + a e\right)}{c^{3} d^{3}}"," ",0,"-1/2*(c^2*d^4 + 2*a*c*d^2*e^2 - 3*a^2*e^4 + 4*(c^2*d^3*e - a*c*d*e^3)*x)/(c^5*d^5*x^2 + 2*a*c^4*d^4*e*x + a^2*c^3*d^3*e^2) + e^2*log(c*d*x + a*e)/(c^3*d^3)","A",0
1890,1,56,0,1.068049," ","integrate((e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","-\frac{2 \, c d e x + c d^{2} + a e^{2}}{2 \, {\left(c^{4} d^{4} x^{2} + 2 \, a c^{3} d^{3} e x + a^{2} c^{2} d^{2} e^{2}\right)}}"," ",0,"-1/2*(2*c*d*e*x + c*d^2 + a*e^2)/(c^4*d^4*x^2 + 2*a*c^3*d^3*e*x + a^2*c^2*d^2*e^2)","A",0
1891,1,35,0,0.942883," ","integrate((e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(c^{3} d^{3} x^{2} + 2 \, a c^{2} d^{2} e x + a^{2} c d e^{2}\right)}}"," ",0,"-1/2/(c^3*d^3*x^2 + 2*a*c^2*d^2*e*x + a^2*c*d*e^2)","A",0
1892,1,238,0,1.073266," ","integrate((e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\frac{e^{2} \log\left(c d x + a e\right)}{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}} - \frac{e^{2} \log\left(e x + d\right)}{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}} + \frac{2 \, c d e x - c d^{2} + 3 \, a e^{2}}{2 \, {\left(a^{2} c^{2} d^{4} e^{2} - 2 \, a^{3} c d^{2} e^{4} + a^{4} e^{6} + {\left(c^{4} d^{6} - 2 \, a c^{3} d^{4} e^{2} + a^{2} c^{2} d^{2} e^{4}\right)} x^{2} + 2 \, {\left(a c^{3} d^{5} e - 2 \, a^{2} c^{2} d^{3} e^{3} + a^{3} c d e^{5}\right)} x\right)}}"," ",0,"e^2*log(c*d*x + a*e)/(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6) - e^2*log(e*x + d)/(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6) + 1/2*(2*c*d*e*x - c*d^2 + 3*a*e^2)/(a^2*c^2*d^4*e^2 - 2*a^3*c*d^2*e^4 + a^4*e^6 + (c^4*d^6 - 2*a*c^3*d^4*e^2 + a^2*c^2*d^2*e^4)*x^2 + 2*(a*c^3*d^5*e - 2*a^2*c^2*d^3*e^3 + a^3*c*d*e^5)*x)","B",0
1893,1,429,0,1.257033," ","integrate((e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\frac{3 \, c d e^{2} \log\left(c d x + a e\right)}{c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} - \frac{3 \, c d e^{2} \log\left(e x + d\right)}{c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} + \frac{6 \, c^{2} d^{2} e^{2} x^{2} - c^{2} d^{4} + 5 \, a c d^{2} e^{2} + 2 \, a^{2} e^{4} + 3 \, {\left(c^{2} d^{3} e + 3 \, a c d e^{3}\right)} x}{2 \, {\left(a^{2} c^{3} d^{7} e^{2} - 3 \, a^{3} c^{2} d^{5} e^{4} + 3 \, a^{4} c d^{3} e^{6} - a^{5} d e^{8} + {\left(c^{5} d^{8} e - 3 \, a c^{4} d^{6} e^{3} + 3 \, a^{2} c^{3} d^{4} e^{5} - a^{3} c^{2} d^{2} e^{7}\right)} x^{3} + {\left(c^{5} d^{9} - a c^{4} d^{7} e^{2} - 3 \, a^{2} c^{3} d^{5} e^{4} + 5 \, a^{3} c^{2} d^{3} e^{6} - 2 \, a^{4} c d e^{8}\right)} x^{2} + {\left(2 \, a c^{4} d^{8} e - 5 \, a^{2} c^{3} d^{6} e^{3} + 3 \, a^{3} c^{2} d^{4} e^{5} + a^{4} c d^{2} e^{7} - a^{5} e^{9}\right)} x\right)}}"," ",0,"3*c*d*e^2*log(c*d*x + a*e)/(c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8) - 3*c*d*e^2*log(e*x + d)/(c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8) + 1/2*(6*c^2*d^2*e^2*x^2 - c^2*d^4 + 5*a*c*d^2*e^2 + 2*a^2*e^4 + 3*(c^2*d^3*e + 3*a*c*d*e^3)*x)/(a^2*c^3*d^7*e^2 - 3*a^3*c^2*d^5*e^4 + 3*a^4*c*d^3*e^6 - a^5*d*e^8 + (c^5*d^8*e - 3*a*c^4*d^6*e^3 + 3*a^2*c^3*d^4*e^5 - a^3*c^2*d^2*e^7)*x^3 + (c^5*d^9 - a*c^4*d^7*e^2 - 3*a^2*c^3*d^5*e^4 + 5*a^3*c^2*d^3*e^6 - 2*a^4*c*d*e^8)*x^2 + (2*a*c^4*d^8*e - 5*a^2*c^3*d^6*e^3 + 3*a^3*c^2*d^4*e^5 + a^4*c*d^2*e^7 - a^5*e^9)*x)","B",0
1894,1,642,0,1.290869," ","integrate(1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\frac{6 \, c^{2} d^{2} e^{2} \log\left(c d x + a e\right)}{c^{5} d^{10} - 5 \, a c^{4} d^{8} e^{2} + 10 \, a^{2} c^{3} d^{6} e^{4} - 10 \, a^{3} c^{2} d^{4} e^{6} + 5 \, a^{4} c d^{2} e^{8} - a^{5} e^{10}} - \frac{6 \, c^{2} d^{2} e^{2} \log\left(e x + d\right)}{c^{5} d^{10} - 5 \, a c^{4} d^{8} e^{2} + 10 \, a^{2} c^{3} d^{6} e^{4} - 10 \, a^{3} c^{2} d^{4} e^{6} + 5 \, a^{4} c d^{2} e^{8} - a^{5} e^{10}} + \frac{12 \, c^{3} d^{3} e^{3} x^{3} - c^{3} d^{6} + 7 \, a c^{2} d^{4} e^{2} + 7 \, a^{2} c d^{2} e^{4} - a^{3} e^{6} + 18 \, {\left(c^{3} d^{4} e^{2} + a c^{2} d^{2} e^{4}\right)} x^{2} + 4 \, {\left(c^{3} d^{5} e + 7 \, a c^{2} d^{3} e^{3} + a^{2} c d e^{5}\right)} x}{2 \, {\left(a^{2} c^{4} d^{10} e^{2} - 4 \, a^{3} c^{3} d^{8} e^{4} + 6 \, a^{4} c^{2} d^{6} e^{6} - 4 \, a^{5} c d^{4} e^{8} + a^{6} d^{2} e^{10} + {\left(c^{6} d^{10} e^{2} - 4 \, a c^{5} d^{8} e^{4} + 6 \, a^{2} c^{4} d^{6} e^{6} - 4 \, a^{3} c^{3} d^{4} e^{8} + a^{4} c^{2} d^{2} e^{10}\right)} x^{4} + 2 \, {\left(c^{6} d^{11} e - 3 \, a c^{5} d^{9} e^{3} + 2 \, a^{2} c^{4} d^{7} e^{5} + 2 \, a^{3} c^{3} d^{5} e^{7} - 3 \, a^{4} c^{2} d^{3} e^{9} + a^{5} c d e^{11}\right)} x^{3} + {\left(c^{6} d^{12} - 9 \, a^{2} c^{4} d^{8} e^{4} + 16 \, a^{3} c^{3} d^{6} e^{6} - 9 \, a^{4} c^{2} d^{4} e^{8} + a^{6} e^{12}\right)} x^{2} + 2 \, {\left(a c^{5} d^{11} e - 3 \, a^{2} c^{4} d^{9} e^{3} + 2 \, a^{3} c^{3} d^{7} e^{5} + 2 \, a^{4} c^{2} d^{5} e^{7} - 3 \, a^{5} c d^{3} e^{9} + a^{6} d e^{11}\right)} x\right)}}"," ",0,"6*c^2*d^2*e^2*log(c*d*x + a*e)/(c^5*d^10 - 5*a*c^4*d^8*e^2 + 10*a^2*c^3*d^6*e^4 - 10*a^3*c^2*d^4*e^6 + 5*a^4*c*d^2*e^8 - a^5*e^10) - 6*c^2*d^2*e^2*log(e*x + d)/(c^5*d^10 - 5*a*c^4*d^8*e^2 + 10*a^2*c^3*d^6*e^4 - 10*a^3*c^2*d^4*e^6 + 5*a^4*c*d^2*e^8 - a^5*e^10) + 1/2*(12*c^3*d^3*e^3*x^3 - c^3*d^6 + 7*a*c^2*d^4*e^2 + 7*a^2*c*d^2*e^4 - a^3*e^6 + 18*(c^3*d^4*e^2 + a*c^2*d^2*e^4)*x^2 + 4*(c^3*d^5*e + 7*a*c^2*d^3*e^3 + a^2*c*d*e^5)*x)/(a^2*c^4*d^10*e^2 - 4*a^3*c^3*d^8*e^4 + 6*a^4*c^2*d^6*e^6 - 4*a^5*c*d^4*e^8 + a^6*d^2*e^10 + (c^6*d^10*e^2 - 4*a*c^5*d^8*e^4 + 6*a^2*c^4*d^6*e^6 - 4*a^3*c^3*d^4*e^8 + a^4*c^2*d^2*e^10)*x^4 + 2*(c^6*d^11*e - 3*a*c^5*d^9*e^3 + 2*a^2*c^4*d^7*e^5 + 2*a^3*c^3*d^5*e^7 - 3*a^4*c^2*d^3*e^9 + a^5*c*d*e^11)*x^3 + (c^6*d^12 - 9*a^2*c^4*d^8*e^4 + 16*a^3*c^3*d^6*e^6 - 9*a^4*c^2*d^4*e^8 + a^6*e^12)*x^2 + 2*(a*c^5*d^11*e - 3*a^2*c^4*d^9*e^3 + 2*a^3*c^3*d^7*e^5 + 2*a^4*c^2*d^5*e^7 - 3*a^5*c*d^3*e^9 + a^6*d*e^11)*x)","B",0
1895,1,947,0,1.716454," ","integrate(1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\frac{10 \, c^{3} d^{3} e^{2} \log\left(c d x + a e\right)}{c^{6} d^{12} - 6 \, a c^{5} d^{10} e^{2} + 15 \, a^{2} c^{4} d^{8} e^{4} - 20 \, a^{3} c^{3} d^{6} e^{6} + 15 \, a^{4} c^{2} d^{4} e^{8} - 6 \, a^{5} c d^{2} e^{10} + a^{6} e^{12}} - \frac{10 \, c^{3} d^{3} e^{2} \log\left(e x + d\right)}{c^{6} d^{12} - 6 \, a c^{5} d^{10} e^{2} + 15 \, a^{2} c^{4} d^{8} e^{4} - 20 \, a^{3} c^{3} d^{6} e^{6} + 15 \, a^{4} c^{2} d^{4} e^{8} - 6 \, a^{5} c d^{2} e^{10} + a^{6} e^{12}} + \frac{60 \, c^{4} d^{4} e^{4} x^{4} - 3 \, c^{4} d^{8} + 27 \, a c^{3} d^{6} e^{2} + 47 \, a^{2} c^{2} d^{4} e^{4} - 13 \, a^{3} c d^{2} e^{6} + 2 \, a^{4} e^{8} + 30 \, {\left(5 \, c^{4} d^{5} e^{3} + 3 \, a c^{3} d^{3} e^{5}\right)} x^{3} + 10 \, {\left(11 \, c^{4} d^{6} e^{2} + 23 \, a c^{3} d^{4} e^{4} + 2 \, a^{2} c^{2} d^{2} e^{6}\right)} x^{2} + 5 \, {\left(3 \, c^{4} d^{7} e + 35 \, a c^{3} d^{5} e^{3} + 11 \, a^{2} c^{2} d^{3} e^{5} - a^{3} c d e^{7}\right)} x}{6 \, {\left(a^{2} c^{5} d^{13} e^{2} - 5 \, a^{3} c^{4} d^{11} e^{4} + 10 \, a^{4} c^{3} d^{9} e^{6} - 10 \, a^{5} c^{2} d^{7} e^{8} + 5 \, a^{6} c d^{5} e^{10} - a^{7} d^{3} e^{12} + {\left(c^{7} d^{12} e^{3} - 5 \, a c^{6} d^{10} e^{5} + 10 \, a^{2} c^{5} d^{8} e^{7} - 10 \, a^{3} c^{4} d^{6} e^{9} + 5 \, a^{4} c^{3} d^{4} e^{11} - a^{5} c^{2} d^{2} e^{13}\right)} x^{5} + {\left(3 \, c^{7} d^{13} e^{2} - 13 \, a c^{6} d^{11} e^{4} + 20 \, a^{2} c^{5} d^{9} e^{6} - 10 \, a^{3} c^{4} d^{7} e^{8} - 5 \, a^{4} c^{3} d^{5} e^{10} + 7 \, a^{5} c^{2} d^{3} e^{12} - 2 \, a^{6} c d e^{14}\right)} x^{4} + {\left(3 \, c^{7} d^{14} e - 9 \, a c^{6} d^{12} e^{3} + a^{2} c^{5} d^{10} e^{5} + 25 \, a^{3} c^{4} d^{8} e^{7} - 35 \, a^{4} c^{3} d^{6} e^{9} + 17 \, a^{5} c^{2} d^{4} e^{11} - a^{6} c d^{2} e^{13} - a^{7} e^{15}\right)} x^{3} + {\left(c^{7} d^{15} + a c^{6} d^{13} e^{2} - 17 \, a^{2} c^{5} d^{11} e^{4} + 35 \, a^{3} c^{4} d^{9} e^{6} - 25 \, a^{4} c^{3} d^{7} e^{8} - a^{5} c^{2} d^{5} e^{10} + 9 \, a^{6} c d^{3} e^{12} - 3 \, a^{7} d e^{14}\right)} x^{2} + {\left(2 \, a c^{6} d^{14} e - 7 \, a^{2} c^{5} d^{12} e^{3} + 5 \, a^{3} c^{4} d^{10} e^{5} + 10 \, a^{4} c^{3} d^{8} e^{7} - 20 \, a^{5} c^{2} d^{6} e^{9} + 13 \, a^{6} c d^{4} e^{11} - 3 \, a^{7} d^{2} e^{13}\right)} x\right)}}"," ",0,"10*c^3*d^3*e^2*log(c*d*x + a*e)/(c^6*d^12 - 6*a*c^5*d^10*e^2 + 15*a^2*c^4*d^8*e^4 - 20*a^3*c^3*d^6*e^6 + 15*a^4*c^2*d^4*e^8 - 6*a^5*c*d^2*e^10 + a^6*e^12) - 10*c^3*d^3*e^2*log(e*x + d)/(c^6*d^12 - 6*a*c^5*d^10*e^2 + 15*a^2*c^4*d^8*e^4 - 20*a^3*c^3*d^6*e^6 + 15*a^4*c^2*d^4*e^8 - 6*a^5*c*d^2*e^10 + a^6*e^12) + 1/6*(60*c^4*d^4*e^4*x^4 - 3*c^4*d^8 + 27*a*c^3*d^6*e^2 + 47*a^2*c^2*d^4*e^4 - 13*a^3*c*d^2*e^6 + 2*a^4*e^8 + 30*(5*c^4*d^5*e^3 + 3*a*c^3*d^3*e^5)*x^3 + 10*(11*c^4*d^6*e^2 + 23*a*c^3*d^4*e^4 + 2*a^2*c^2*d^2*e^6)*x^2 + 5*(3*c^4*d^7*e + 35*a*c^3*d^5*e^3 + 11*a^2*c^2*d^3*e^5 - a^3*c*d*e^7)*x)/(a^2*c^5*d^13*e^2 - 5*a^3*c^4*d^11*e^4 + 10*a^4*c^3*d^9*e^6 - 10*a^5*c^2*d^7*e^8 + 5*a^6*c*d^5*e^10 - a^7*d^3*e^12 + (c^7*d^12*e^3 - 5*a*c^6*d^10*e^5 + 10*a^2*c^5*d^8*e^7 - 10*a^3*c^4*d^6*e^9 + 5*a^4*c^3*d^4*e^11 - a^5*c^2*d^2*e^13)*x^5 + (3*c^7*d^13*e^2 - 13*a*c^6*d^11*e^4 + 20*a^2*c^5*d^9*e^6 - 10*a^3*c^4*d^7*e^8 - 5*a^4*c^3*d^5*e^10 + 7*a^5*c^2*d^3*e^12 - 2*a^6*c*d*e^14)*x^4 + (3*c^7*d^14*e - 9*a*c^6*d^12*e^3 + a^2*c^5*d^10*e^5 + 25*a^3*c^4*d^8*e^7 - 35*a^4*c^3*d^6*e^9 + 17*a^5*c^2*d^4*e^11 - a^6*c*d^2*e^13 - a^7*e^15)*x^3 + (c^7*d^15 + a*c^6*d^13*e^2 - 17*a^2*c^5*d^11*e^4 + 35*a^3*c^4*d^9*e^6 - 25*a^4*c^3*d^7*e^8 - a^5*c^2*d^5*e^10 + 9*a^6*c*d^3*e^12 - 3*a^7*d*e^14)*x^2 + (2*a*c^6*d^14*e - 7*a^2*c^5*d^12*e^3 + 5*a^3*c^4*d^10*e^5 + 10*a^4*c^3*d^8*e^7 - 20*a^5*c^2*d^6*e^9 + 13*a^6*c*d^4*e^11 - 3*a^7*d^2*e^13)*x)","B",0
1896,1,424,0,1.182564," ","integrate((e*x+d)^10/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{c^{6} d^{12} + 3 \, a c^{5} d^{10} e^{2} + 15 \, a^{2} c^{4} d^{8} e^{4} - 110 \, a^{3} c^{3} d^{6} e^{6} + 195 \, a^{4} c^{2} d^{4} e^{8} - 141 \, a^{5} c d^{2} e^{10} + 37 \, a^{6} e^{12} + 45 \, {\left(c^{6} d^{10} e^{2} - 4 \, a c^{5} d^{8} e^{4} + 6 \, a^{2} c^{4} d^{6} e^{6} - 4 \, a^{3} c^{3} d^{4} e^{8} + a^{4} c^{2} d^{2} e^{10}\right)} x^{2} + 9 \, {\left(c^{6} d^{11} e + 5 \, a c^{5} d^{9} e^{3} - 30 \, a^{2} c^{4} d^{7} e^{5} + 50 \, a^{3} c^{3} d^{5} e^{7} - 35 \, a^{4} c^{2} d^{3} e^{9} + 9 \, a^{5} c d e^{11}\right)} x}{3 \, {\left(c^{10} d^{10} x^{3} + 3 \, a c^{9} d^{9} e x^{2} + 3 \, a^{2} c^{8} d^{8} e^{2} x + a^{3} c^{7} d^{7} e^{3}\right)}} + \frac{c^{2} d^{2} e^{6} x^{3} + 3 \, {\left(3 \, c^{2} d^{3} e^{5} - 2 \, a c d e^{7}\right)} x^{2} + 3 \, {\left(15 \, c^{2} d^{4} e^{4} - 24 \, a c d^{2} e^{6} + 10 \, a^{2} e^{8}\right)} x}{3 \, c^{6} d^{6}} + \frac{20 \, {\left(c^{3} d^{6} e^{3} - 3 \, a c^{2} d^{4} e^{5} + 3 \, a^{2} c d^{2} e^{7} - a^{3} e^{9}\right)} \log\left(c d x + a e\right)}{c^{7} d^{7}}"," ",0,"-1/3*(c^6*d^12 + 3*a*c^5*d^10*e^2 + 15*a^2*c^4*d^8*e^4 - 110*a^3*c^3*d^6*e^6 + 195*a^4*c^2*d^4*e^8 - 141*a^5*c*d^2*e^10 + 37*a^6*e^12 + 45*(c^6*d^10*e^2 - 4*a*c^5*d^8*e^4 + 6*a^2*c^4*d^6*e^6 - 4*a^3*c^3*d^4*e^8 + a^4*c^2*d^2*e^10)*x^2 + 9*(c^6*d^11*e + 5*a*c^5*d^9*e^3 - 30*a^2*c^4*d^7*e^5 + 50*a^3*c^3*d^5*e^7 - 35*a^4*c^2*d^3*e^9 + 9*a^5*c*d*e^11)*x)/(c^10*d^10*x^3 + 3*a*c^9*d^9*e*x^2 + 3*a^2*c^8*d^8*e^2*x + a^3*c^7*d^7*e^3) + 1/3*(c^2*d^2*e^6*x^3 + 3*(3*c^2*d^3*e^5 - 2*a*c*d*e^7)*x^2 + 3*(15*c^2*d^4*e^4 - 24*a*c*d^2*e^6 + 10*a^2*e^8)*x)/(c^6*d^6) + 20*(c^3*d^6*e^3 - 3*a*c^2*d^4*e^5 + 3*a^2*c*d^2*e^7 - a^3*e^9)*log(c*d*x + a*e)/(c^7*d^7)","A",0
1897,1,326,0,1.238791," ","integrate((e*x+d)^9/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{2 \, c^{5} d^{10} + 5 \, a c^{4} d^{8} e^{2} + 20 \, a^{2} c^{3} d^{6} e^{4} - 110 \, a^{3} c^{2} d^{4} e^{6} + 130 \, a^{4} c d^{2} e^{8} - 47 \, a^{5} e^{10} + 60 \, {\left(c^{5} d^{8} e^{2} - 3 \, a c^{4} d^{6} e^{4} + 3 \, a^{2} c^{3} d^{4} e^{6} - a^{3} c^{2} d^{2} e^{8}\right)} x^{2} + 15 \, {\left(c^{5} d^{9} e + 4 \, a c^{4} d^{7} e^{3} - 18 \, a^{2} c^{3} d^{5} e^{5} + 20 \, a^{3} c^{2} d^{3} e^{7} - 7 \, a^{4} c d e^{9}\right)} x}{6 \, {\left(c^{9} d^{9} x^{3} + 3 \, a c^{8} d^{8} e x^{2} + 3 \, a^{2} c^{7} d^{7} e^{2} x + a^{3} c^{6} d^{6} e^{3}\right)}} + \frac{c d e^{5} x^{2} + 2 \, {\left(5 \, c d^{2} e^{4} - 4 \, a e^{6}\right)} x}{2 \, c^{5} d^{5}} + \frac{10 \, {\left(c^{2} d^{4} e^{3} - 2 \, a c d^{2} e^{5} + a^{2} e^{7}\right)} \log\left(c d x + a e\right)}{c^{6} d^{6}}"," ",0,"-1/6*(2*c^5*d^10 + 5*a*c^4*d^8*e^2 + 20*a^2*c^3*d^6*e^4 - 110*a^3*c^2*d^4*e^6 + 130*a^4*c*d^2*e^8 - 47*a^5*e^10 + 60*(c^5*d^8*e^2 - 3*a*c^4*d^6*e^4 + 3*a^2*c^3*d^4*e^6 - a^3*c^2*d^2*e^8)*x^2 + 15*(c^5*d^9*e + 4*a*c^4*d^7*e^3 - 18*a^2*c^3*d^5*e^5 + 20*a^3*c^2*d^3*e^7 - 7*a^4*c*d*e^9)*x)/(c^9*d^9*x^3 + 3*a*c^8*d^8*e*x^2 + 3*a^2*c^7*d^7*e^2*x + a^3*c^6*d^6*e^3) + 1/2*(c*d*e^5*x^2 + 2*(5*c*d^2*e^4 - 4*a*e^6)*x)/(c^5*d^5) + 10*(c^2*d^4*e^3 - 2*a*c*d^2*e^5 + a^2*e^7)*log(c*d*x + a*e)/(c^6*d^6)","A",0
1898,1,243,0,1.222925," ","integrate((e*x+d)^8/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{c^{4} d^{8} + 2 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 22 \, a^{3} c d^{2} e^{6} + 13 \, a^{4} e^{8} + 18 \, {\left(c^{4} d^{6} e^{2} - 2 \, a c^{3} d^{4} e^{4} + a^{2} c^{2} d^{2} e^{6}\right)} x^{2} + 6 \, {\left(c^{4} d^{7} e + 3 \, a c^{3} d^{5} e^{3} - 9 \, a^{2} c^{2} d^{3} e^{5} + 5 \, a^{3} c d e^{7}\right)} x}{3 \, {\left(c^{8} d^{8} x^{3} + 3 \, a c^{7} d^{7} e x^{2} + 3 \, a^{2} c^{6} d^{6} e^{2} x + a^{3} c^{5} d^{5} e^{3}\right)}} + \frac{e^{4} x}{c^{4} d^{4}} + \frac{4 \, {\left(c d^{2} e^{3} - a e^{5}\right)} \log\left(c d x + a e\right)}{c^{5} d^{5}}"," ",0,"-1/3*(c^4*d^8 + 2*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 22*a^3*c*d^2*e^6 + 13*a^4*e^8 + 18*(c^4*d^6*e^2 - 2*a*c^3*d^4*e^4 + a^2*c^2*d^2*e^6)*x^2 + 6*(c^4*d^7*e + 3*a*c^3*d^5*e^3 - 9*a^2*c^2*d^3*e^5 + 5*a^3*c*d*e^7)*x)/(c^8*d^8*x^3 + 3*a*c^7*d^7*e*x^2 + 3*a^2*c^6*d^6*e^2*x + a^3*c^5*d^5*e^3) + e^4*x/(c^4*d^4) + 4*(c*d^2*e^3 - a*e^5)*log(c*d*x + a*e)/(c^5*d^5)","A",0
1899,1,179,0,1.098099," ","integrate((e*x+d)^7/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{2 \, c^{3} d^{6} + 3 \, a c^{2} d^{4} e^{2} + 6 \, a^{2} c d^{2} e^{4} - 11 \, a^{3} e^{6} + 18 \, {\left(c^{3} d^{4} e^{2} - a c^{2} d^{2} e^{4}\right)} x^{2} + 9 \, {\left(c^{3} d^{5} e + 2 \, a c^{2} d^{3} e^{3} - 3 \, a^{2} c d e^{5}\right)} x}{6 \, {\left(c^{7} d^{7} x^{3} + 3 \, a c^{6} d^{6} e x^{2} + 3 \, a^{2} c^{5} d^{5} e^{2} x + a^{3} c^{4} d^{4} e^{3}\right)}} + \frac{e^{3} \log\left(c d x + a e\right)}{c^{4} d^{4}}"," ",0,"-1/6*(2*c^3*d^6 + 3*a*c^2*d^4*e^2 + 6*a^2*c*d^2*e^4 - 11*a^3*e^6 + 18*(c^3*d^4*e^2 - a*c^2*d^2*e^4)*x^2 + 9*(c^3*d^5*e + 2*a*c^2*d^3*e^3 - 3*a^2*c*d*e^5)*x)/(c^7*d^7*x^3 + 3*a*c^6*d^6*e*x^2 + 3*a^2*c^5*d^5*e^2*x + a^3*c^4*d^4*e^3) + e^3*log(c*d*x + a*e)/(c^4*d^4)","A",0
1900,1,113,0,1.132571," ","integrate((e*x+d)^6/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{3 \, c^{2} d^{2} e^{2} x^{2} + c^{2} d^{4} + a c d^{2} e^{2} + a^{2} e^{4} + 3 \, {\left(c^{2} d^{3} e + a c d e^{3}\right)} x}{3 \, {\left(c^{6} d^{6} x^{3} + 3 \, a c^{5} d^{5} e x^{2} + 3 \, a^{2} c^{4} d^{4} e^{2} x + a^{3} c^{3} d^{3} e^{3}\right)}}"," ",0,"-1/3*(3*c^2*d^2*e^2*x^2 + c^2*d^4 + a*c*d^2*e^2 + a^2*e^4 + 3*(c^2*d^3*e + a*c*d*e^3)*x)/(c^6*d^6*x^3 + 3*a*c^5*d^5*e*x^2 + 3*a^2*c^4*d^4*e^2*x + a^3*c^3*d^3*e^3)","B",0
1901,1,74,0,1.092245," ","integrate((e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{3 \, c d e x + 2 \, c d^{2} + a e^{2}}{6 \, {\left(c^{5} d^{5} x^{3} + 3 \, a c^{4} d^{4} e x^{2} + 3 \, a^{2} c^{3} d^{3} e^{2} x + a^{3} c^{2} d^{2} e^{3}\right)}}"," ",0,"-1/6*(3*c*d*e*x + 2*c*d^2 + a*e^2)/(c^5*d^5*x^3 + 3*a*c^4*d^4*e*x^2 + 3*a^2*c^3*d^3*e^2*x + a^3*c^2*d^2*e^3)","A",0
1902,1,52,0,1.003787," ","integrate((e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(c^{4} d^{4} x^{3} + 3 \, a c^{3} d^{3} e x^{2} + 3 \, a^{2} c^{2} d^{2} e^{2} x + a^{3} c d e^{3}\right)}}"," ",0,"-1/3/(c^4*d^4*x^3 + 3*a*c^3*d^3*e*x^2 + 3*a^2*c^2*d^2*e^2*x + a^3*c*d*e^3)","B",0
1903,1,412,0,1.223751," ","integrate((e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{e^{3} \log\left(c d x + a e\right)}{c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} + \frac{e^{3} \log\left(e x + d\right)}{c^{4} d^{8} - 4 \, a c^{3} d^{6} e^{2} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a^{3} c d^{2} e^{6} + a^{4} e^{8}} - \frac{6 \, c^{2} d^{2} e^{2} x^{2} + 2 \, c^{2} d^{4} - 7 \, a c d^{2} e^{2} + 11 \, a^{2} e^{4} - 3 \, {\left(c^{2} d^{3} e - 5 \, a c d e^{3}\right)} x}{6 \, {\left(a^{3} c^{3} d^{6} e^{3} - 3 \, a^{4} c^{2} d^{4} e^{5} + 3 \, a^{5} c d^{2} e^{7} - a^{6} e^{9} + {\left(c^{6} d^{9} - 3 \, a c^{5} d^{7} e^{2} + 3 \, a^{2} c^{4} d^{5} e^{4} - a^{3} c^{3} d^{3} e^{6}\right)} x^{3} + 3 \, {\left(a c^{5} d^{8} e - 3 \, a^{2} c^{4} d^{6} e^{3} + 3 \, a^{3} c^{3} d^{4} e^{5} - a^{4} c^{2} d^{2} e^{7}\right)} x^{2} + 3 \, {\left(a^{2} c^{4} d^{7} e^{2} - 3 \, a^{3} c^{3} d^{5} e^{4} + 3 \, a^{4} c^{2} d^{3} e^{6} - a^{5} c d e^{8}\right)} x\right)}}"," ",0,"-e^3*log(c*d*x + a*e)/(c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8) + e^3*log(e*x + d)/(c^4*d^8 - 4*a*c^3*d^6*e^2 + 6*a^2*c^2*d^4*e^4 - 4*a^3*c*d^2*e^6 + a^4*e^8) - 1/6*(6*c^2*d^2*e^2*x^2 + 2*c^2*d^4 - 7*a*c*d^2*e^2 + 11*a^2*e^4 - 3*(c^2*d^3*e - 5*a*c*d*e^3)*x)/(a^3*c^3*d^6*e^3 - 3*a^4*c^2*d^4*e^5 + 3*a^5*c*d^2*e^7 - a^6*e^9 + (c^6*d^9 - 3*a*c^5*d^7*e^2 + 3*a^2*c^4*d^5*e^4 - a^3*c^3*d^3*e^6)*x^3 + 3*(a*c^5*d^8*e - 3*a^2*c^4*d^6*e^3 + 3*a^3*c^3*d^4*e^5 - a^4*c^2*d^2*e^7)*x^2 + 3*(a^2*c^4*d^7*e^2 - 3*a^3*c^3*d^5*e^4 + 3*a^4*c^2*d^3*e^6 - a^5*c*d*e^8)*x)","B",0
1904,1,656,0,1.439872," ","integrate((e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{4 \, c d e^{3} \log\left(c d x + a e\right)}{c^{5} d^{10} - 5 \, a c^{4} d^{8} e^{2} + 10 \, a^{2} c^{3} d^{6} e^{4} - 10 \, a^{3} c^{2} d^{4} e^{6} + 5 \, a^{4} c d^{2} e^{8} - a^{5} e^{10}} + \frac{4 \, c d e^{3} \log\left(e x + d\right)}{c^{5} d^{10} - 5 \, a c^{4} d^{8} e^{2} + 10 \, a^{2} c^{3} d^{6} e^{4} - 10 \, a^{3} c^{2} d^{4} e^{6} + 5 \, a^{4} c d^{2} e^{8} - a^{5} e^{10}} - \frac{12 \, c^{3} d^{3} e^{3} x^{3} + c^{3} d^{6} - 5 \, a c^{2} d^{4} e^{2} + 13 \, a^{2} c d^{2} e^{4} + 3 \, a^{3} e^{6} + 6 \, {\left(c^{3} d^{4} e^{2} + 5 \, a c^{2} d^{2} e^{4}\right)} x^{2} - 2 \, {\left(c^{3} d^{5} e - 8 \, a c^{2} d^{3} e^{3} - 11 \, a^{2} c d e^{5}\right)} x}{3 \, {\left(a^{3} c^{4} d^{9} e^{3} - 4 \, a^{4} c^{3} d^{7} e^{5} + 6 \, a^{5} c^{2} d^{5} e^{7} - 4 \, a^{6} c d^{3} e^{9} + a^{7} d e^{11} + {\left(c^{7} d^{11} e - 4 \, a c^{6} d^{9} e^{3} + 6 \, a^{2} c^{5} d^{7} e^{5} - 4 \, a^{3} c^{4} d^{5} e^{7} + a^{4} c^{3} d^{3} e^{9}\right)} x^{4} + {\left(c^{7} d^{12} - a c^{6} d^{10} e^{2} - 6 \, a^{2} c^{5} d^{8} e^{4} + 14 \, a^{3} c^{4} d^{6} e^{6} - 11 \, a^{4} c^{3} d^{4} e^{8} + 3 \, a^{5} c^{2} d^{2} e^{10}\right)} x^{3} + 3 \, {\left(a c^{6} d^{11} e - 3 \, a^{2} c^{5} d^{9} e^{3} + 2 \, a^{3} c^{4} d^{7} e^{5} + 2 \, a^{4} c^{3} d^{5} e^{7} - 3 \, a^{5} c^{2} d^{3} e^{9} + a^{6} c d e^{11}\right)} x^{2} + {\left(3 \, a^{2} c^{5} d^{10} e^{2} - 11 \, a^{3} c^{4} d^{8} e^{4} + 14 \, a^{4} c^{3} d^{6} e^{6} - 6 \, a^{5} c^{2} d^{4} e^{8} - a^{6} c d^{2} e^{10} + a^{7} e^{12}\right)} x\right)}}"," ",0,"-4*c*d*e^3*log(c*d*x + a*e)/(c^5*d^10 - 5*a*c^4*d^8*e^2 + 10*a^2*c^3*d^6*e^4 - 10*a^3*c^2*d^4*e^6 + 5*a^4*c*d^2*e^8 - a^5*e^10) + 4*c*d*e^3*log(e*x + d)/(c^5*d^10 - 5*a*c^4*d^8*e^2 + 10*a^2*c^3*d^6*e^4 - 10*a^3*c^2*d^4*e^6 + 5*a^4*c*d^2*e^8 - a^5*e^10) - 1/3*(12*c^3*d^3*e^3*x^3 + c^3*d^6 - 5*a*c^2*d^4*e^2 + 13*a^2*c*d^2*e^4 + 3*a^3*e^6 + 6*(c^3*d^4*e^2 + 5*a*c^2*d^2*e^4)*x^2 - 2*(c^3*d^5*e - 8*a*c^2*d^3*e^3 - 11*a^2*c*d*e^5)*x)/(a^3*c^4*d^9*e^3 - 4*a^4*c^3*d^7*e^5 + 6*a^5*c^2*d^5*e^7 - 4*a^6*c*d^3*e^9 + a^7*d*e^11 + (c^7*d^11*e - 4*a*c^6*d^9*e^3 + 6*a^2*c^5*d^7*e^5 - 4*a^3*c^4*d^5*e^7 + a^4*c^3*d^3*e^9)*x^4 + (c^7*d^12 - a*c^6*d^10*e^2 - 6*a^2*c^5*d^8*e^4 + 14*a^3*c^4*d^6*e^6 - 11*a^4*c^3*d^4*e^8 + 3*a^5*c^2*d^2*e^10)*x^3 + 3*(a*c^6*d^11*e - 3*a^2*c^5*d^9*e^3 + 2*a^3*c^4*d^7*e^5 + 2*a^4*c^3*d^5*e^7 - 3*a^5*c^2*d^3*e^9 + a^6*c*d*e^11)*x^2 + (3*a^2*c^5*d^10*e^2 - 11*a^3*c^4*d^8*e^4 + 14*a^4*c^3*d^6*e^6 - 6*a^5*c^2*d^4*e^8 - a^6*c*d^2*e^10 + a^7*e^12)*x)","B",0
1905,1,956,0,1.680782," ","integrate((e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{10 \, c^{2} d^{2} e^{3} \log\left(c d x + a e\right)}{c^{6} d^{12} - 6 \, a c^{5} d^{10} e^{2} + 15 \, a^{2} c^{4} d^{8} e^{4} - 20 \, a^{3} c^{3} d^{6} e^{6} + 15 \, a^{4} c^{2} d^{4} e^{8} - 6 \, a^{5} c d^{2} e^{10} + a^{6} e^{12}} + \frac{10 \, c^{2} d^{2} e^{3} \log\left(e x + d\right)}{c^{6} d^{12} - 6 \, a c^{5} d^{10} e^{2} + 15 \, a^{2} c^{4} d^{8} e^{4} - 20 \, a^{3} c^{3} d^{6} e^{6} + 15 \, a^{4} c^{2} d^{4} e^{8} - 6 \, a^{5} c d^{2} e^{10} + a^{6} e^{12}} - \frac{60 \, c^{4} d^{4} e^{4} x^{4} + 2 \, c^{4} d^{8} - 13 \, a c^{3} d^{6} e^{2} + 47 \, a^{2} c^{2} d^{4} e^{4} + 27 \, a^{3} c d^{2} e^{6} - 3 \, a^{4} e^{8} + 30 \, {\left(3 \, c^{4} d^{5} e^{3} + 5 \, a c^{3} d^{3} e^{5}\right)} x^{3} + 10 \, {\left(2 \, c^{4} d^{6} e^{2} + 23 \, a c^{3} d^{4} e^{4} + 11 \, a^{2} c^{2} d^{2} e^{6}\right)} x^{2} - 5 \, {\left(c^{4} d^{7} e - 11 \, a c^{3} d^{5} e^{3} - 35 \, a^{2} c^{2} d^{3} e^{5} - 3 \, a^{3} c d e^{7}\right)} x}{6 \, {\left(a^{3} c^{5} d^{12} e^{3} - 5 \, a^{4} c^{4} d^{10} e^{5} + 10 \, a^{5} c^{3} d^{8} e^{7} - 10 \, a^{6} c^{2} d^{6} e^{9} + 5 \, a^{7} c d^{4} e^{11} - a^{8} d^{2} e^{13} + {\left(c^{8} d^{13} e^{2} - 5 \, a c^{7} d^{11} e^{4} + 10 \, a^{2} c^{6} d^{9} e^{6} - 10 \, a^{3} c^{5} d^{7} e^{8} + 5 \, a^{4} c^{4} d^{5} e^{10} - a^{5} c^{3} d^{3} e^{12}\right)} x^{5} + {\left(2 \, c^{8} d^{14} e - 7 \, a c^{7} d^{12} e^{3} + 5 \, a^{2} c^{6} d^{10} e^{5} + 10 \, a^{3} c^{5} d^{8} e^{7} - 20 \, a^{4} c^{4} d^{6} e^{9} + 13 \, a^{5} c^{3} d^{4} e^{11} - 3 \, a^{6} c^{2} d^{2} e^{13}\right)} x^{4} + {\left(c^{8} d^{15} + a c^{7} d^{13} e^{2} - 17 \, a^{2} c^{6} d^{11} e^{4} + 35 \, a^{3} c^{5} d^{9} e^{6} - 25 \, a^{4} c^{4} d^{7} e^{8} - a^{5} c^{3} d^{5} e^{10} + 9 \, a^{6} c^{2} d^{3} e^{12} - 3 \, a^{7} c d e^{14}\right)} x^{3} + {\left(3 \, a c^{7} d^{14} e - 9 \, a^{2} c^{6} d^{12} e^{3} + a^{3} c^{5} d^{10} e^{5} + 25 \, a^{4} c^{4} d^{8} e^{7} - 35 \, a^{5} c^{3} d^{6} e^{9} + 17 \, a^{6} c^{2} d^{4} e^{11} - a^{7} c d^{2} e^{13} - a^{8} e^{15}\right)} x^{2} + {\left(3 \, a^{2} c^{6} d^{13} e^{2} - 13 \, a^{3} c^{5} d^{11} e^{4} + 20 \, a^{4} c^{4} d^{9} e^{6} - 10 \, a^{5} c^{3} d^{7} e^{8} - 5 \, a^{6} c^{2} d^{5} e^{10} + 7 \, a^{7} c d^{3} e^{12} - 2 \, a^{8} d e^{14}\right)} x\right)}}"," ",0,"-10*c^2*d^2*e^3*log(c*d*x + a*e)/(c^6*d^12 - 6*a*c^5*d^10*e^2 + 15*a^2*c^4*d^8*e^4 - 20*a^3*c^3*d^6*e^6 + 15*a^4*c^2*d^4*e^8 - 6*a^5*c*d^2*e^10 + a^6*e^12) + 10*c^2*d^2*e^3*log(e*x + d)/(c^6*d^12 - 6*a*c^5*d^10*e^2 + 15*a^2*c^4*d^8*e^4 - 20*a^3*c^3*d^6*e^6 + 15*a^4*c^2*d^4*e^8 - 6*a^5*c*d^2*e^10 + a^6*e^12) - 1/6*(60*c^4*d^4*e^4*x^4 + 2*c^4*d^8 - 13*a*c^3*d^6*e^2 + 47*a^2*c^2*d^4*e^4 + 27*a^3*c*d^2*e^6 - 3*a^4*e^8 + 30*(3*c^4*d^5*e^3 + 5*a*c^3*d^3*e^5)*x^3 + 10*(2*c^4*d^6*e^2 + 23*a*c^3*d^4*e^4 + 11*a^2*c^2*d^2*e^6)*x^2 - 5*(c^4*d^7*e - 11*a*c^3*d^5*e^3 - 35*a^2*c^2*d^3*e^5 - 3*a^3*c*d*e^7)*x)/(a^3*c^5*d^12*e^3 - 5*a^4*c^4*d^10*e^5 + 10*a^5*c^3*d^8*e^7 - 10*a^6*c^2*d^6*e^9 + 5*a^7*c*d^4*e^11 - a^8*d^2*e^13 + (c^8*d^13*e^2 - 5*a*c^7*d^11*e^4 + 10*a^2*c^6*d^9*e^6 - 10*a^3*c^5*d^7*e^8 + 5*a^4*c^4*d^5*e^10 - a^5*c^3*d^3*e^12)*x^5 + (2*c^8*d^14*e - 7*a*c^7*d^12*e^3 + 5*a^2*c^6*d^10*e^5 + 10*a^3*c^5*d^8*e^7 - 20*a^4*c^4*d^6*e^9 + 13*a^5*c^3*d^4*e^11 - 3*a^6*c^2*d^2*e^13)*x^4 + (c^8*d^15 + a*c^7*d^13*e^2 - 17*a^2*c^6*d^11*e^4 + 35*a^3*c^5*d^9*e^6 - 25*a^4*c^4*d^7*e^8 - a^5*c^3*d^5*e^10 + 9*a^6*c^2*d^3*e^12 - 3*a^7*c*d*e^14)*x^3 + (3*a*c^7*d^14*e - 9*a^2*c^6*d^12*e^3 + a^3*c^5*d^10*e^5 + 25*a^4*c^4*d^8*e^7 - 35*a^5*c^3*d^6*e^9 + 17*a^6*c^2*d^4*e^11 - a^7*c*d^2*e^13 - a^8*e^15)*x^2 + (3*a^2*c^6*d^13*e^2 - 13*a^3*c^5*d^11*e^4 + 20*a^4*c^4*d^9*e^6 - 10*a^5*c^3*d^7*e^8 - 5*a^6*c^2*d^5*e^10 + 7*a^7*c*d^3*e^12 - 2*a^8*d*e^14)*x)","B",0
1906,1,1278,0,1.621408," ","integrate(1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","-\frac{20 \, c^{3} d^{3} e^{3} \log\left(c d x + a e\right)}{c^{7} d^{14} - 7 \, a c^{6} d^{12} e^{2} + 21 \, a^{2} c^{5} d^{10} e^{4} - 35 \, a^{3} c^{4} d^{8} e^{6} + 35 \, a^{4} c^{3} d^{6} e^{8} - 21 \, a^{5} c^{2} d^{4} e^{10} + 7 \, a^{6} c d^{2} e^{12} - a^{7} e^{14}} + \frac{20 \, c^{3} d^{3} e^{3} \log\left(e x + d\right)}{c^{7} d^{14} - 7 \, a c^{6} d^{12} e^{2} + 21 \, a^{2} c^{5} d^{10} e^{4} - 35 \, a^{3} c^{4} d^{8} e^{6} + 35 \, a^{4} c^{3} d^{6} e^{8} - 21 \, a^{5} c^{2} d^{4} e^{10} + 7 \, a^{6} c d^{2} e^{12} - a^{7} e^{14}} - \frac{60 \, c^{5} d^{5} e^{5} x^{5} + c^{5} d^{10} - 8 \, a c^{4} d^{8} e^{2} + 37 \, a^{2} c^{3} d^{6} e^{4} + 37 \, a^{3} c^{2} d^{4} e^{6} - 8 \, a^{4} c d^{2} e^{8} + a^{5} e^{10} + 150 \, {\left(c^{5} d^{6} e^{4} + a c^{4} d^{4} e^{6}\right)} x^{4} + 10 \, {\left(11 \, c^{5} d^{7} e^{3} + 38 \, a c^{4} d^{5} e^{5} + 11 \, a^{2} c^{3} d^{3} e^{7}\right)} x^{3} + 15 \, {\left(c^{5} d^{8} e^{2} + 19 \, a c^{4} d^{6} e^{4} + 19 \, a^{2} c^{3} d^{4} e^{6} + a^{3} c^{2} d^{2} e^{8}\right)} x^{2} - 3 \, {\left(c^{5} d^{9} e - 14 \, a c^{4} d^{7} e^{3} - 74 \, a^{2} c^{3} d^{5} e^{5} - 14 \, a^{3} c^{2} d^{3} e^{7} + a^{4} c d e^{9}\right)} x}{3 \, {\left(a^{3} c^{6} d^{15} e^{3} - 6 \, a^{4} c^{5} d^{13} e^{5} + 15 \, a^{5} c^{4} d^{11} e^{7} - 20 \, a^{6} c^{3} d^{9} e^{9} + 15 \, a^{7} c^{2} d^{7} e^{11} - 6 \, a^{8} c d^{5} e^{13} + a^{9} d^{3} e^{15} + {\left(c^{9} d^{15} e^{3} - 6 \, a c^{8} d^{13} e^{5} + 15 \, a^{2} c^{7} d^{11} e^{7} - 20 \, a^{3} c^{6} d^{9} e^{9} + 15 \, a^{4} c^{5} d^{7} e^{11} - 6 \, a^{5} c^{4} d^{5} e^{13} + a^{6} c^{3} d^{3} e^{15}\right)} x^{6} + 3 \, {\left(c^{9} d^{16} e^{2} - 5 \, a c^{8} d^{14} e^{4} + 9 \, a^{2} c^{7} d^{12} e^{6} - 5 \, a^{3} c^{6} d^{10} e^{8} - 5 \, a^{4} c^{5} d^{8} e^{10} + 9 \, a^{5} c^{4} d^{6} e^{12} - 5 \, a^{6} c^{3} d^{4} e^{14} + a^{7} c^{2} d^{2} e^{16}\right)} x^{5} + 3 \, {\left(c^{9} d^{17} e - 3 \, a c^{8} d^{15} e^{3} - 2 \, a^{2} c^{7} d^{13} e^{5} + 19 \, a^{3} c^{6} d^{11} e^{7} - 30 \, a^{4} c^{5} d^{9} e^{9} + 19 \, a^{5} c^{4} d^{7} e^{11} - 2 \, a^{6} c^{3} d^{5} e^{13} - 3 \, a^{7} c^{2} d^{3} e^{15} + a^{8} c d e^{17}\right)} x^{4} + {\left(c^{9} d^{18} + 3 \, a c^{8} d^{16} e^{2} - 30 \, a^{2} c^{7} d^{14} e^{4} + 62 \, a^{3} c^{6} d^{12} e^{6} - 36 \, a^{4} c^{5} d^{10} e^{8} - 36 \, a^{5} c^{4} d^{8} e^{10} + 62 \, a^{6} c^{3} d^{6} e^{12} - 30 \, a^{7} c^{2} d^{4} e^{14} + 3 \, a^{8} c d^{2} e^{16} + a^{9} e^{18}\right)} x^{3} + 3 \, {\left(a c^{8} d^{17} e - 3 \, a^{2} c^{7} d^{15} e^{3} - 2 \, a^{3} c^{6} d^{13} e^{5} + 19 \, a^{4} c^{5} d^{11} e^{7} - 30 \, a^{5} c^{4} d^{9} e^{9} + 19 \, a^{6} c^{3} d^{7} e^{11} - 2 \, a^{7} c^{2} d^{5} e^{13} - 3 \, a^{8} c d^{3} e^{15} + a^{9} d e^{17}\right)} x^{2} + 3 \, {\left(a^{2} c^{7} d^{16} e^{2} - 5 \, a^{3} c^{6} d^{14} e^{4} + 9 \, a^{4} c^{5} d^{12} e^{6} - 5 \, a^{5} c^{4} d^{10} e^{8} - 5 \, a^{6} c^{3} d^{8} e^{10} + 9 \, a^{7} c^{2} d^{6} e^{12} - 5 \, a^{8} c d^{4} e^{14} + a^{9} d^{2} e^{16}\right)} x\right)}}"," ",0,"-20*c^3*d^3*e^3*log(c*d*x + a*e)/(c^7*d^14 - 7*a*c^6*d^12*e^2 + 21*a^2*c^5*d^10*e^4 - 35*a^3*c^4*d^8*e^6 + 35*a^4*c^3*d^6*e^8 - 21*a^5*c^2*d^4*e^10 + 7*a^6*c*d^2*e^12 - a^7*e^14) + 20*c^3*d^3*e^3*log(e*x + d)/(c^7*d^14 - 7*a*c^6*d^12*e^2 + 21*a^2*c^5*d^10*e^4 - 35*a^3*c^4*d^8*e^6 + 35*a^4*c^3*d^6*e^8 - 21*a^5*c^2*d^4*e^10 + 7*a^6*c*d^2*e^12 - a^7*e^14) - 1/3*(60*c^5*d^5*e^5*x^5 + c^5*d^10 - 8*a*c^4*d^8*e^2 + 37*a^2*c^3*d^6*e^4 + 37*a^3*c^2*d^4*e^6 - 8*a^4*c*d^2*e^8 + a^5*e^10 + 150*(c^5*d^6*e^4 + a*c^4*d^4*e^6)*x^4 + 10*(11*c^5*d^7*e^3 + 38*a*c^4*d^5*e^5 + 11*a^2*c^3*d^3*e^7)*x^3 + 15*(c^5*d^8*e^2 + 19*a*c^4*d^6*e^4 + 19*a^2*c^3*d^4*e^6 + a^3*c^2*d^2*e^8)*x^2 - 3*(c^5*d^9*e - 14*a*c^4*d^7*e^3 - 74*a^2*c^3*d^5*e^5 - 14*a^3*c^2*d^3*e^7 + a^4*c*d*e^9)*x)/(a^3*c^6*d^15*e^3 - 6*a^4*c^5*d^13*e^5 + 15*a^5*c^4*d^11*e^7 - 20*a^6*c^3*d^9*e^9 + 15*a^7*c^2*d^7*e^11 - 6*a^8*c*d^5*e^13 + a^9*d^3*e^15 + (c^9*d^15*e^3 - 6*a*c^8*d^13*e^5 + 15*a^2*c^7*d^11*e^7 - 20*a^3*c^6*d^9*e^9 + 15*a^4*c^5*d^7*e^11 - 6*a^5*c^4*d^5*e^13 + a^6*c^3*d^3*e^15)*x^6 + 3*(c^9*d^16*e^2 - 5*a*c^8*d^14*e^4 + 9*a^2*c^7*d^12*e^6 - 5*a^3*c^6*d^10*e^8 - 5*a^4*c^5*d^8*e^10 + 9*a^5*c^4*d^6*e^12 - 5*a^6*c^3*d^4*e^14 + a^7*c^2*d^2*e^16)*x^5 + 3*(c^9*d^17*e - 3*a*c^8*d^15*e^3 - 2*a^2*c^7*d^13*e^5 + 19*a^3*c^6*d^11*e^7 - 30*a^4*c^5*d^9*e^9 + 19*a^5*c^4*d^7*e^11 - 2*a^6*c^3*d^5*e^13 - 3*a^7*c^2*d^3*e^15 + a^8*c*d*e^17)*x^4 + (c^9*d^18 + 3*a*c^8*d^16*e^2 - 30*a^2*c^7*d^14*e^4 + 62*a^3*c^6*d^12*e^6 - 36*a^4*c^5*d^10*e^8 - 36*a^5*c^4*d^8*e^10 + 62*a^6*c^3*d^6*e^12 - 30*a^7*c^2*d^4*e^14 + 3*a^8*c*d^2*e^16 + a^9*e^18)*x^3 + 3*(a*c^8*d^17*e - 3*a^2*c^7*d^15*e^3 - 2*a^3*c^6*d^13*e^5 + 19*a^4*c^5*d^11*e^7 - 30*a^5*c^4*d^9*e^9 + 19*a^6*c^3*d^7*e^11 - 2*a^7*c^2*d^5*e^13 - 3*a^8*c*d^3*e^15 + a^9*d*e^17)*x^2 + 3*(a^2*c^7*d^16*e^2 - 5*a^3*c^6*d^14*e^4 + 9*a^4*c^5*d^12*e^6 - 5*a^5*c^4*d^10*e^8 - 5*a^6*c^3*d^8*e^10 + 9*a^7*c^2*d^6*e^12 - 5*a^8*c*d^4*e^14 + a^9*d^2*e^16)*x)","B",0
1907,-2,0,0,0.000000," ","integrate((e*x+d)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1908,-2,0,0,0.000000," ","integrate((e*x+d)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1909,-2,0,0,0.000000," ","integrate((e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1910,-2,0,0,0.000000," ","integrate((e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1911,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1912,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1913,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1914,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1915,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1916,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1917,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1918,-2,0,0,0.000000," ","integrate((e*x+d)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1919,-2,0,0,0.000000," ","integrate((e*x+d)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1920,-2,0,0,0.000000," ","integrate((e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1921,-2,0,0,0.000000," ","integrate((e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1922,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1923,1,462,0,1.176361," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d),x, algorithm=""maxima"")","\frac{3 \, a^{2} c d^{2} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{16 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} + \frac{c^{3} d^{6} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{16 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{4}} - \frac{3 \, a c^{2} d^{4} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{16 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{2}} - \frac{a^{3} e^{2} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{16 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} - \frac{\sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c d^{2} x}{4 \, e} + \frac{1}{4} \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a e x - \frac{\sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c d^{3}}{8 \, e^{2}} + \frac{\sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{2} e^{2}}{8 \, c d} + \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}}}{3 \, e}"," ",0,"3/16*a^2*c*d^2*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) + 1/16*c^3*d^6*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^4) - 3/16*a*c^2*d^4*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^2) - 1/16*a^3*e^2*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) - 1/4*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c*d^2*x/e + 1/4*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a*e*x - 1/8*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c*d^3/e^2 + 1/8*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^2*e^2/(c*d) + 1/3*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)/e","B",0
1924,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1925,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1926,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1927,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1928,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1929,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^7,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1930,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^8,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1931,-2,0,0,0.000000," ","integrate((e*x+d)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1932,-2,0,0,0.000000," ","integrate((e*x+d)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1933,-2,0,0,0.000000," ","integrate((e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1934,-2,0,0,0.000000," ","integrate((e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1935,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1936,1,915,0,1.516989," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{3 \, c^{4} d^{9} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{256 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{5}} + \frac{15 \, a c^{3} d^{7} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{256 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{3}} - \frac{15 \, a^{2} c^{2} d^{5} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{128 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e} + \frac{15 \, a^{3} c d^{3} e \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{128 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} - \frac{15 \, a^{4} d e^{3} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{256 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} + \frac{3 \, a^{5} e^{5} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{256 \, c d \left(\frac{c d}{e}\right)^{\frac{3}{2}}} - \frac{9}{64} \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a c d^{3} x + \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c^{2} d^{5} x}{64 \, e^{2}} + \frac{9}{64} \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{2} d e^{2} x - \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{3} e^{4} x}{64 \, c d} + \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c^{2} d^{6}}{128 \, e^{3}} - \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a c d^{4}}{64 \, e} + \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{3} e^{3}}{64 \, c} - \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{4} e^{5}}{128 \, c^{2} d^{2}} - \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} c d^{2} x}{8 \, e} + \frac{1}{8} \, {\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} a e x - \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} c d^{3}}{16 \, e^{2}} + \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} a^{2} e^{2}}{16 \, c d} + \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{5}{2}}}{5 \, e}"," ",0,"-3/256*c^4*d^9*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^5) + 15/256*a*c^3*d^7*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^3) - 15/128*a^2*c^2*d^5*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e) + 15/128*a^3*c*d^3*e*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) - 15/256*a^4*d*e^3*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) + 3/256*a^5*e^5*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d*(c*d/e)^(3/2)) - 9/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a*c*d^3*x + 3/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c^2*d^5*x/e^2 + 9/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^2*d*e^2*x - 3/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^3*e^4*x/(c*d) + 3/128*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c^2*d^6/e^3 - 3/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a*c*d^4/e + 3/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^3*e^3/c - 3/128*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^4*e^5/(c^2*d^2) - 1/8*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*c*d^2*x/e + 1/8*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*a*e*x - 1/16*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*c*d^3/e^2 + 1/16*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*a^2*e^2/(c*d) + 1/5*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(5/2)/e","B",0
1937,1,722,0,1.309298," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{5 \, c^{4} d^{8} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{128 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{5}} + \frac{5 \, a c^{3} d^{6} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{32 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{3}} - \frac{15 \, a^{2} c^{2} d^{4} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{64 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e} + \frac{5 \, a^{3} c d^{2} e \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{32 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} - \frac{5 \, a^{4} e^{3} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{128 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} - \frac{5}{16} \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a c d^{2} x + \frac{5 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c^{2} d^{4} x}{32 \, e^{2}} + \frac{5}{32} \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{2} e^{2} x + \frac{5 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c^{2} d^{5}}{64 \, e^{3}} - \frac{5 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a c d^{3}}{64 \, e} - \frac{5}{64} \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{2} d e + \frac{5 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{3} e^{3}}{64 \, c d} + \frac{5}{24} \, {\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} a - \frac{5 \, {\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} c d^{2}}{24 \, e^{2}} + \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{5}{2}}}{4 \, {\left(e^{2} x + d e\right)}}"," ",0,"-5/128*c^4*d^8*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^5) + 5/32*a*c^3*d^6*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^3) - 15/64*a^2*c^2*d^4*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e) + 5/32*a^3*c*d^2*e*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) - 5/128*a^4*e^3*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) - 5/16*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a*c*d^2*x + 5/32*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c^2*d^4*x/e^2 + 5/32*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^2*e^2*x + 5/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c^2*d^5/e^3 - 5/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a*c*d^3/e - 5/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^2*d*e + 5/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^3*e^3/(c*d) + 5/24*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*a - 5/24*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*c*d^2/e^2 + 1/4*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(5/2)/(e^2*x + d*e)","B",0
1938,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1939,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1940,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1941,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1942,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^7,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1943,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^8,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1944,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^9,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1945,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^10,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1946,-2,0,0,0.000000," ","integrate((e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1947,-2,0,0,0.000000," ","integrate((e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1948,-2,0,0,0.000000," ","integrate((e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1949,-2,0,0,0.000000," ","integrate(1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1950,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1951,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1952,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1953,-2,0,0,0.000000," ","integrate(1/(e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1954,-2,0,0,0.000000," ","integrate((e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1955,-2,0,0,0.000000," ","integrate((e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1956,-2,0,0,0.000000," ","integrate((e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1957,-2,0,0,0.000000," ","integrate((e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1958,-2,0,0,0.000000," ","integrate((e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1959,-2,0,0,0.000000," ","integrate(1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1960,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1961,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1962,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1963,-2,0,0,0.000000," ","integrate(1/(e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1964,-2,0,0,0.000000," ","integrate((e*x+d)^6/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1965,-2,0,0,0.000000," ","integrate((e*x+d)^5/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1966,-2,0,0,0.000000," ","integrate((e*x+d)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1967,-2,0,0,0.000000," ","integrate((e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1968,-2,0,0,0.000000," ","integrate((e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1969,-2,0,0,0.000000," ","integrate((e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1970,-2,0,0,0.000000," ","integrate(1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1971,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1972,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1973,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
1974,0,0,0,0.000000," ","integrate((e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{e x + d}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((e*x + d)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(1/3), x)","F",0
1975,0,0,0,0.000000," ","integrate(1/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(-1/3), x)","F",0
1976,1,38,0,1.213866," ","integrate((e*x+d)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, {\left(e x + d\right)}^{\frac{9}{2}} c d - 9 \, {\left(c d^{2} - a e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{63 \, e^{2}}"," ",0,"2/63*(7*(e*x + d)^(9/2)*c*d - 9*(c*d^2 - a*e^2)*(e*x + d)^(7/2))/e^2","A",0
1977,1,38,0,1.115496," ","integrate((e*x+d)^(1/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} c d - 7 \, {\left(c d^{2} - a e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{35 \, e^{2}}"," ",0,"2/35*(5*(e*x + d)^(7/2)*c*d - 7*(c*d^2 - a*e^2)*(e*x + d)^(5/2))/e^2","A",0
1978,1,90,0,0.970086," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, \sqrt{e x + d} a d e + \frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} c d}{e} + \frac{5 \, {\left(c d^{2} + a e^{2}\right)} {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)}}{e}\right)}}{15 \, e}"," ",0,"2/15*(15*sqrt(e*x + d)*a*d*e + (3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*c*d/e + 5*(c*d^2 + a*e^2)*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)/e)/e","B",0
1979,1,37,0,1.155906," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} c d - 3 \, {\left(c d^{2} - a e^{2}\right)} \sqrt{e x + d}\right)}}{3 \, e^{2}}"," ",0,"2/3*((e*x + d)^(3/2)*c*d - 3*(c*d^2 - a*e^2)*sqrt(e*x + d))/e^2","A",0
1980,1,42,0,1.106549," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{\sqrt{e x + d} c d}{e} + \frac{c d^{2} - a e^{2}}{\sqrt{e x + d} e}\right)}}{e}"," ",0,"2*(sqrt(e*x + d)*c*d/e + (c*d^2 - a*e^2)/(sqrt(e*x + d)*e))/e","A",0
1981,1,33,0,1.106282," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, {\left(e x + d\right)} c d - c d^{2} + a e^{2}\right)}}{3 \, {\left(e x + d\right)}^{\frac{3}{2}} e^{2}}"," ",0,"-2/3*(3*(e*x + d)*c*d - c*d^2 + a*e^2)/((e*x + d)^(3/2)*e^2)","A",0
1982,1,34,0,1.071904," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(5 \, {\left(e x + d\right)} c d - 3 \, c d^{2} + 3 \, a e^{2}\right)}}{15 \, {\left(e x + d\right)}^{\frac{5}{2}} e^{2}}"," ",0,"-2/15*(5*(e*x + d)*c*d - 3*c*d^2 + 3*a*e^2)/((e*x + d)^(5/2)*e^2)","A",0
1983,1,34,0,1.177337," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(7 \, {\left(e x + d\right)} c d - 5 \, c d^{2} + 5 \, a e^{2}\right)}}{35 \, {\left(e x + d\right)}^{\frac{7}{2}} e^{2}}"," ",0,"-2/35*(7*(e*x + d)*c*d - 5*c*d^2 + 5*a*e^2)/((e*x + d)^(7/2)*e^2)","A",0
1984,1,80,0,1.057952," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{2} d^{2} - 154 \, {\left(c^{2} d^{3} - a c d e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 99 \, {\left(c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{693 \, e^{3}}"," ",0,"2/693*(63*(e*x + d)^(11/2)*c^2*d^2 - 154*(c^2*d^3 - a*c*d*e^2)*(e*x + d)^(9/2) + 99*(c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4)*(e*x + d)^(7/2))/e^3","A",0
1985,1,280,0,1.200701," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, \sqrt{e x + d} a^{2} d^{2} e^{2} + 42 \, {\left(\frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} c d}{e} + \frac{5 \, {\left(c d^{2} + a e^{2}\right)} {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)}}{e}\right)} a d e + \frac{{\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} c^{2} d^{2}}{e^{2}} + \frac{18 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} {\left(c d^{2} + a e^{2}\right)} c d}{e^{2}} + \frac{21 \, {\left(c d^{2} + a e^{2}\right)}^{2} {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)}}{e^{2}}\right)}}{315 \, e}"," ",0,"2/315*(315*sqrt(e*x + d)*a^2*d^2*e^2 + 42*((3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*c*d/e + 5*(c*d^2 + a*e^2)*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)/e)*a*d*e + (35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*c^2*d^2/e^2 + 18*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*(c*d^2 + a*e^2)*c*d/e^2 + 21*(c*d^2 + a*e^2)^2*(3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)/e^2)/e","B",0
1986,1,80,0,1.139423," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{2} d^{2} - 42 \, {\left(c^{2} d^{3} - a c d e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{105 \, e^{3}}"," ",0,"2/105*(15*(e*x + d)^(7/2)*c^2*d^2 - 42*(c^2*d^3 - a*c*d*e^2)*(e*x + d)^(5/2) + 35*(c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4)*(e*x + d)^(3/2))/e^3","A",0
1987,1,80,0,1.133820," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} c^{2} d^{2} - 10 \, {\left(c^{2} d^{3} - a c d e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15 \, {\left(c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{e x + d}\right)}}{15 \, e^{3}}"," ",0,"2/15*(3*(e*x + d)^(5/2)*c^2*d^2 - 10*(c^2*d^3 - a*c*d*e^2)*(e*x + d)^(3/2) + 15*(c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(e*x + d))/e^3","A",0
1988,1,87,0,1.003180," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} c^{2} d^{2} - 6 \, {\left(c^{2} d^{3} - a c d e^{2}\right)} \sqrt{e x + d}}{e^{2}} - \frac{3 \, {\left(c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}}{\sqrt{e x + d} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(((e*x + d)^(3/2)*c^2*d^2 - 6*(c^2*d^3 - a*c*d*e^2)*sqrt(e*x + d))/e^2 - 3*(c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4)/(sqrt(e*x + d)*e^2))/e","A",0
1989,1,84,0,1.130057," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, \sqrt{e x + d} c^{2} d^{2}}{e^{2}} - \frac{c^{2} d^{4} - 2 \, a c d^{2} e^{2} + a^{2} e^{4} - 6 \, {\left(c^{2} d^{3} - a c d e^{2}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(3*sqrt(e*x + d)*c^2*d^2/e^2 - (c^2*d^4 - 2*a*c*d^2*e^2 + a^2*e^4 - 6*(c^2*d^3 - a*c*d*e^2)*(e*x + d))/((e*x + d)^(3/2)*e^2))/e","A",0
1990,1,77,0,1.038183," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(11/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{2} c^{2} d^{2} + 3 \, c^{2} d^{4} - 6 \, a c d^{2} e^{2} + 3 \, a^{2} e^{4} - 10 \, {\left(c^{2} d^{3} - a c d e^{2}\right)} {\left(e x + d\right)}\right)}}{15 \, {\left(e x + d\right)}^{\frac{5}{2}} e^{3}}"," ",0,"-2/15*(15*(e*x + d)^2*c^2*d^2 + 3*c^2*d^4 - 6*a*c*d^2*e^2 + 3*a^2*e^4 - 10*(c^2*d^3 - a*c*d*e^2)*(e*x + d))/((e*x + d)^(5/2)*e^3)","A",0
1991,1,77,0,1.005368," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2/(e*x+d)^(13/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{2} c^{2} d^{2} + 15 \, c^{2} d^{4} - 30 \, a c d^{2} e^{2} + 15 \, a^{2} e^{4} - 42 \, {\left(c^{2} d^{3} - a c d e^{2}\right)} {\left(e x + d\right)}\right)}}{105 \, {\left(e x + d\right)}^{\frac{7}{2}} e^{3}}"," ",0,"-2/105*(35*(e*x + d)^2*c^2*d^2 + 15*c^2*d^4 - 30*a*c*d^2*e^2 + 15*a^2*e^4 - 42*(c^2*d^3 - a*c*d*e^2)*(e*x + d))/((e*x + d)^(7/2)*e^3)","A",0
1992,1,137,0,1.007269," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(429 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{3} d^{3} - 1485 \, {\left(c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 1755 \, {\left(c^{3} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 715 \, {\left(c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{6435 \, e^{4}}"," ",0,"2/6435*(429*(e*x + d)^(15/2)*c^3*d^3 - 1485*(c^3*d^4 - a*c^2*d^2*e^2)*(e*x + d)^(13/2) + 1755*(c^3*d^5 - 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d)^(11/2) - 715*(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6)*(e*x + d)^(9/2))/e^4","A",0
1993,1,611,0,1.232471," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15015 \, \sqrt{e x + d} a^{3} d^{3} e^{3} + 3003 \, {\left(\frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} c d}{e} + \frac{5 \, {\left(c d^{2} + a e^{2}\right)} {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)}}{e}\right)} a^{2} d^{2} e^{2} + \frac{5 \, {\left(231 \, {\left(e x + d\right)}^{\frac{13}{2}} - 1638 \, {\left(e x + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(e x + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{e x + d} d^{6}\right)} c^{3} d^{3}}{e^{3}} + 143 \, {\left(\frac{{\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} c^{2} d^{2}}{e^{2}} + \frac{18 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} {\left(c d^{2} + a e^{2}\right)} c d}{e^{2}} + \frac{21 \, {\left(c d^{2} + a e^{2}\right)}^{2} {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)}}{e^{2}}\right)} a d e + \frac{65 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} - 385 \, {\left(e x + d\right)}^{\frac{9}{2}} d + 990 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{e x + d} d^{5}\right)} {\left(c d^{2} + a e^{2}\right)} c^{2} d^{2}}{e^{3}} + \frac{143 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} {\left(c d^{2} + a e^{2}\right)}^{2} c d}{e^{3}} + \frac{429 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} {\left(c d^{2} + a e^{2}\right)}^{3}}{e^{3}}\right)}}{15015 \, e}"," ",0,"2/15015*(15015*sqrt(e*x + d)*a^3*d^3*e^3 + 3003*((3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*c*d/e + 5*(c*d^2 + a*e^2)*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)/e)*a^2*d^2*e^2 + 5*(231*(e*x + d)^(13/2) - 1638*(e*x + d)^(11/2)*d + 5005*(e*x + d)^(9/2)*d^2 - 8580*(e*x + d)^(7/2)*d^3 + 9009*(e*x + d)^(5/2)*d^4 - 6006*(e*x + d)^(3/2)*d^5 + 3003*sqrt(e*x + d)*d^6)*c^3*d^3/e^3 + 143*((35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*c^2*d^2/e^2 + 18*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*(c*d^2 + a*e^2)*c*d/e^2 + 21*(c*d^2 + a*e^2)^2*(3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)/e^2)*a*d*e + 65*(63*(e*x + d)^(11/2) - 385*(e*x + d)^(9/2)*d + 990*(e*x + d)^(7/2)*d^2 - 1386*(e*x + d)^(5/2)*d^3 + 1155*(e*x + d)^(3/2)*d^4 - 693*sqrt(e*x + d)*d^5)*(c*d^2 + a*e^2)*c^2*d^2/e^3 + 143*(35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*(c*d^2 + a*e^2)^2*c*d/e^3 + 429*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*(c*d^2 + a*e^2)^3/e^3)/e","B",0
1994,1,137,0,1.014878," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(105 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{3} d^{3} - 385 \, {\left(c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(c^{3} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 231 \, {\left(c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{1155 \, e^{4}}"," ",0,"2/1155*(105*(e*x + d)^(11/2)*c^3*d^3 - 385*(c^3*d^4 - a*c^2*d^2*e^2)*(e*x + d)^(9/2) + 495*(c^3*d^5 - 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d)^(7/2) - 231*(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6)*(e*x + d)^(5/2))/e^4","A",0
1995,1,137,0,1.108598," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} c^{3} d^{3} - 135 \, {\left(c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 189 \, {\left(c^{3} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 105 \, {\left(c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{315 \, e^{4}}"," ",0,"2/315*(35*(e*x + d)^(9/2)*c^3*d^3 - 135*(c^3*d^4 - a*c^2*d^2*e^2)*(e*x + d)^(7/2) + 189*(c^3*d^5 - 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d)^(5/2) - 105*(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6)*(e*x + d)^(3/2))/e^4","A",0
1996,1,137,0,1.114118," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{3} d^{3} - 21 \, {\left(c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(c^{3} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 35 \, {\left(c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}\right)} \sqrt{e x + d}\right)}}{35 \, e^{4}}"," ",0,"2/35*(5*(e*x + d)^(7/2)*c^3*d^3 - 21*(c^3*d^4 - a*c^2*d^2*e^2)*(e*x + d)^(5/2) + 35*(c^3*d^5 - 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d)^(3/2) - 35*(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6)*sqrt(e*x + d))/e^4","A",0
1997,1,144,0,1.031084," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{5}{2}} c^{3} d^{3} - 5 \, {\left(c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15 \, {\left(c^{3} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} \sqrt{e x + d}}{e^{3}} + \frac{5 \, {\left(c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6}\right)}}{\sqrt{e x + d} e^{3}}\right)}}{5 \, e}"," ",0,"2/5*(((e*x + d)^(5/2)*c^3*d^3 - 5*(c^3*d^4 - a*c^2*d^2*e^2)*(e*x + d)^(3/2) + 15*(c^3*d^5 - 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*sqrt(e*x + d))/e^3 + 5*(c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6)/(sqrt(e*x + d)*e^3))/e","A",0
1998,1,141,0,1.121336," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(11/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} c^{3} d^{3} - 9 \, {\left(c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} \sqrt{e x + d}}{e^{3}} + \frac{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6} - 9 \, {\left(c^{3} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{3}}\right)}}{3 \, e}"," ",0,"2/3*(((e*x + d)^(3/2)*c^3*d^3 - 9*(c^3*d^4 - a*c^2*d^2*e^2)*sqrt(e*x + d))/e^3 + (c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6 - 9*(c^3*d^5 - 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d))/((e*x + d)^(3/2)*e^3))/e","A",0
1999,1,140,0,1.069066," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3/(e*x+d)^(13/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, \sqrt{e x + d} c^{3} d^{3}}{e^{3}} + \frac{c^{3} d^{6} - 3 \, a c^{2} d^{4} e^{2} + 3 \, a^{2} c d^{2} e^{4} - a^{3} e^{6} + 15 \, {\left(c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(c^{3} d^{5} - 2 \, a c^{2} d^{3} e^{2} + a^{2} c d e^{4}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{3}}\right)}}{5 \, e}"," ",0,"2/5*(5*sqrt(e*x + d)*c^3*d^3/e^3 + (c^3*d^6 - 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 - a^3*e^6 + 15*(c^3*d^4 - a*c^2*d^2*e^2)*(e*x + d)^2 - 5*(c^3*d^5 - 2*a*c^2*d^3*e^2 + a^2*c*d*e^4)*(e*x + d))/((e*x + d)^(5/2)*e^3))/e","A",0
2000,-2,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2001,-2,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2002,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2003,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2004,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2005,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2006,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2007,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2008,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2009,-2,0,0,0.000000," ","integrate((e*x+d)^(13/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2010,-2,0,0,0.000000," ","integrate((e*x+d)^(11/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2011,-2,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2012,-2,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2013,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2014,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2015,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2016,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2017,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2018,-2,0,0,0.000000," ","integrate((e*x+d)^(15/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2019,-2,0,0,0.000000," ","integrate((e*x+d)^(13/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2020,-2,0,0,0.000000," ","integrate((e*x+d)^(11/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2021,-2,0,0,0.000000," ","integrate((e*x+d)^(9/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2022,-2,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2023,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2024,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2025,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2026,-2,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 positive or negative?","F(-2)",0
2027,1,296,0,1.538633," ","integrate((e*x+d)^(7/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, c^{5} d^{5} e^{4} x^{5} + 1155 \, a c^{4} d^{8} e - 1848 \, a^{2} c^{3} d^{6} e^{3} + 1584 \, a^{3} c^{2} d^{4} e^{5} - 704 \, a^{4} c d^{2} e^{7} + 128 \, a^{5} e^{9} + 35 \, {\left(44 \, c^{5} d^{6} e^{3} + a c^{4} d^{4} e^{5}\right)} x^{4} + 10 \, {\left(297 \, c^{5} d^{7} e^{2} + 22 \, a c^{4} d^{5} e^{4} - 4 \, a^{2} c^{3} d^{3} e^{6}\right)} x^{3} + 6 \, {\left(462 \, c^{5} d^{8} e + 99 \, a c^{4} d^{6} e^{3} - 44 \, a^{2} c^{3} d^{4} e^{5} + 8 \, a^{3} c^{2} d^{2} e^{7}\right)} x^{2} + {\left(1155 \, c^{5} d^{9} + 924 \, a c^{4} d^{7} e^{2} - 792 \, a^{2} c^{3} d^{5} e^{4} + 352 \, a^{3} c^{2} d^{3} e^{6} - 64 \, a^{4} c d e^{8}\right)} x\right)} \sqrt{c d x + a e} {\left(e x + d\right)}}{3465 \, {\left(c^{5} d^{5} e x + c^{5} d^{6}\right)}}"," ",0,"2/3465*(315*c^5*d^5*e^4*x^5 + 1155*a*c^4*d^8*e - 1848*a^2*c^3*d^6*e^3 + 1584*a^3*c^2*d^4*e^5 - 704*a^4*c*d^2*e^7 + 128*a^5*e^9 + 35*(44*c^5*d^6*e^3 + a*c^4*d^4*e^5)*x^4 + 10*(297*c^5*d^7*e^2 + 22*a*c^4*d^5*e^4 - 4*a^2*c^3*d^3*e^6)*x^3 + 6*(462*c^5*d^8*e + 99*a*c^4*d^6*e^3 - 44*a^2*c^3*d^4*e^5 + 8*a^3*c^2*d^2*e^7)*x^2 + (1155*c^5*d^9 + 924*a*c^4*d^7*e^2 - 792*a^2*c^3*d^5*e^4 + 352*a^3*c^2*d^3*e^6 - 64*a^4*c*d*e^8)*x)*sqrt(c*d*x + a*e)*(e*x + d)/(c^5*d^5*e*x + c^5*d^6)","A",0
2028,1,211,0,1.368177," ","integrate((e*x+d)^(5/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, c^{4} d^{4} e^{3} x^{4} + 105 \, a c^{3} d^{6} e - 126 \, a^{2} c^{2} d^{4} e^{3} + 72 \, a^{3} c d^{2} e^{5} - 16 \, a^{4} e^{7} + 5 \, {\left(27 \, c^{4} d^{5} e^{2} + a c^{3} d^{3} e^{4}\right)} x^{3} + 3 \, {\left(63 \, c^{4} d^{6} e + 9 \, a c^{3} d^{4} e^{3} - 2 \, a^{2} c^{2} d^{2} e^{5}\right)} x^{2} + {\left(105 \, c^{4} d^{7} + 63 \, a c^{3} d^{5} e^{2} - 36 \, a^{2} c^{2} d^{3} e^{4} + 8 \, a^{3} c d e^{6}\right)} x\right)} \sqrt{c d x + a e} {\left(e x + d\right)}}{315 \, {\left(c^{4} d^{4} e x + c^{4} d^{5}\right)}}"," ",0,"2/315*(35*c^4*d^4*e^3*x^4 + 105*a*c^3*d^6*e - 126*a^2*c^2*d^4*e^3 + 72*a^3*c*d^2*e^5 - 16*a^4*e^7 + 5*(27*c^4*d^5*e^2 + a*c^3*d^3*e^4)*x^3 + 3*(63*c^4*d^6*e + 9*a*c^3*d^4*e^3 - 2*a^2*c^2*d^2*e^5)*x^2 + (105*c^4*d^7 + 63*a*c^3*d^5*e^2 - 36*a^2*c^2*d^3*e^4 + 8*a^3*c*d*e^6)*x)*sqrt(c*d*x + a*e)*(e*x + d)/(c^4*d^4*e*x + c^4*d^5)","A",0
2029,1,140,0,1.226145," ","integrate((e*x+d)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, c^{3} d^{3} e^{2} x^{3} + 35 \, a c^{2} d^{4} e - 28 \, a^{2} c d^{2} e^{3} + 8 \, a^{3} e^{5} + 3 \, {\left(14 \, c^{3} d^{4} e + a c^{2} d^{2} e^{3}\right)} x^{2} + {\left(35 \, c^{3} d^{5} + 14 \, a c^{2} d^{3} e^{2} - 4 \, a^{2} c d e^{4}\right)} x\right)} \sqrt{c d x + a e} {\left(e x + d\right)}}{105 \, {\left(c^{3} d^{3} e x + c^{3} d^{4}\right)}}"," ",0,"2/105*(15*c^3*d^3*e^2*x^3 + 35*a*c^2*d^4*e - 28*a^2*c*d^2*e^3 + 8*a^3*e^5 + 3*(14*c^3*d^4*e + a*c^2*d^2*e^3)*x^2 + (35*c^3*d^5 + 14*a*c^2*d^3*e^2 - 4*a^2*c*d*e^4)*x)*sqrt(c*d*x + a*e)*(e*x + d)/(c^3*d^3*e*x + c^3*d^4)","A",0
2030,1,83,0,1.327141," ","integrate((e*x+d)^(1/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, c^{2} d^{2} e x^{2} + 5 \, a c d^{2} e - 2 \, a^{2} e^{3} + {\left(5 \, c^{2} d^{3} + a c d e^{2}\right)} x\right)} \sqrt{c d x + a e} {\left(e x + d\right)}}{15 \, {\left(c^{2} d^{2} e x + c^{2} d^{3}\right)}}"," ",0,"2/15*(3*c^2*d^2*e*x^2 + 5*a*c*d^2*e - 2*a^2*e^3 + (5*c^2*d^3 + a*c*d*e^2)*x)*sqrt(c*d*x + a*e)*(e*x + d)/(c^2*d^2*e*x + c^2*d^3)","A",0
2031,1,18,0,1.150794," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c d x + a e\right)}^{\frac{3}{2}}}{3 \, c d}"," ",0,"2/3*(c*d*x + a*e)^(3/2)/(c*d)","A",0
2032,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(e*x + d)^(3/2), x)","F",0
2033,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(e*x + d)^(5/2), x)","F",0
2034,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(e*x + d)^(7/2), x)","F",0
2035,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(e*x + d)^(9/2), x)","F",0
2036,1,373,0,1.516710," ","integrate((e*x+d)^(5/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(1155 \, c^{6} d^{6} e^{4} x^{6} + 3003 \, a^{2} c^{4} d^{8} e^{2} - 3432 \, a^{3} c^{3} d^{6} e^{4} + 2288 \, a^{4} c^{2} d^{4} e^{6} - 832 \, a^{5} c d^{2} e^{8} + 128 \, a^{6} e^{10} + 210 \, {\left(26 \, c^{6} d^{7} e^{3} + 7 \, a c^{5} d^{5} e^{5}\right)} x^{5} + 35 \, {\left(286 \, c^{6} d^{8} e^{2} + 208 \, a c^{5} d^{6} e^{4} + a^{2} c^{4} d^{4} e^{6}\right)} x^{4} + 20 \, {\left(429 \, c^{6} d^{9} e + 715 \, a c^{5} d^{7} e^{3} + 13 \, a^{2} c^{4} d^{5} e^{5} - 2 \, a^{3} c^{3} d^{3} e^{7}\right)} x^{3} + 3 \, {\left(1001 \, c^{6} d^{10} + 4576 \, a c^{5} d^{8} e^{2} + 286 \, a^{2} c^{4} d^{6} e^{4} - 104 \, a^{3} c^{3} d^{4} e^{6} + 16 \, a^{4} c^{2} d^{2} e^{8}\right)} x^{2} + 2 \, {\left(3003 \, a c^{5} d^{9} e + 858 \, a^{2} c^{4} d^{7} e^{3} - 572 \, a^{3} c^{3} d^{5} e^{5} + 208 \, a^{4} c^{2} d^{3} e^{7} - 32 \, a^{5} c d e^{9}\right)} x\right)} \sqrt{c d x + a e} {\left(e x + d\right)}}{15015 \, {\left(c^{5} d^{5} e x + c^{5} d^{6}\right)}}"," ",0,"2/15015*(1155*c^6*d^6*e^4*x^6 + 3003*a^2*c^4*d^8*e^2 - 3432*a^3*c^3*d^6*e^4 + 2288*a^4*c^2*d^4*e^6 - 832*a^5*c*d^2*e^8 + 128*a^6*e^10 + 210*(26*c^6*d^7*e^3 + 7*a*c^5*d^5*e^5)*x^5 + 35*(286*c^6*d^8*e^2 + 208*a*c^5*d^6*e^4 + a^2*c^4*d^4*e^6)*x^4 + 20*(429*c^6*d^9*e + 715*a*c^5*d^7*e^3 + 13*a^2*c^4*d^5*e^5 - 2*a^3*c^3*d^3*e^7)*x^3 + 3*(1001*c^6*d^10 + 4576*a*c^5*d^8*e^2 + 286*a^2*c^4*d^6*e^4 - 104*a^3*c^3*d^4*e^6 + 16*a^4*c^2*d^2*e^8)*x^2 + 2*(3003*a*c^5*d^9*e + 858*a^2*c^4*d^7*e^3 - 572*a^3*c^3*d^5*e^5 + 208*a^4*c^2*d^3*e^7 - 32*a^5*c*d*e^9)*x)*sqrt(c*d*x + a*e)*(e*x + d)/(c^5*d^5*e*x + c^5*d^6)","A",0
2037,1,273,0,1.361617," ","integrate((e*x+d)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(105 \, c^{5} d^{5} e^{3} x^{5} + 231 \, a^{2} c^{3} d^{6} e^{2} - 198 \, a^{3} c^{2} d^{4} e^{4} + 88 \, a^{4} c d^{2} e^{6} - 16 \, a^{5} e^{8} + 35 \, {\left(11 \, c^{5} d^{6} e^{2} + 4 \, a c^{4} d^{4} e^{4}\right)} x^{4} + 5 \, {\left(99 \, c^{5} d^{7} e + 110 \, a c^{4} d^{5} e^{3} + a^{2} c^{3} d^{3} e^{5}\right)} x^{3} + 3 \, {\left(77 \, c^{5} d^{8} + 264 \, a c^{4} d^{6} e^{2} + 11 \, a^{2} c^{3} d^{4} e^{4} - 2 \, a^{3} c^{2} d^{2} e^{6}\right)} x^{2} + {\left(462 \, a c^{4} d^{7} e + 99 \, a^{2} c^{3} d^{5} e^{3} - 44 \, a^{3} c^{2} d^{3} e^{5} + 8 \, a^{4} c d e^{7}\right)} x\right)} \sqrt{c d x + a e} {\left(e x + d\right)}}{1155 \, {\left(c^{4} d^{4} e x + c^{4} d^{5}\right)}}"," ",0,"2/1155*(105*c^5*d^5*e^3*x^5 + 231*a^2*c^3*d^6*e^2 - 198*a^3*c^2*d^4*e^4 + 88*a^4*c*d^2*e^6 - 16*a^5*e^8 + 35*(11*c^5*d^6*e^2 + 4*a*c^4*d^4*e^4)*x^4 + 5*(99*c^5*d^7*e + 110*a*c^4*d^5*e^3 + a^2*c^3*d^3*e^5)*x^3 + 3*(77*c^5*d^8 + 264*a*c^4*d^6*e^2 + 11*a^2*c^3*d^4*e^4 - 2*a^3*c^2*d^2*e^6)*x^2 + (462*a*c^4*d^7*e + 99*a^2*c^3*d^5*e^3 - 44*a^3*c^2*d^3*e^5 + 8*a^4*c*d*e^7)*x)*sqrt(c*d*x + a*e)*(e*x + d)/(c^4*d^4*e*x + c^4*d^5)","A",0
2038,1,189,0,1.382909," ","integrate((e*x+d)^(1/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, c^{4} d^{4} e^{2} x^{4} + 63 \, a^{2} c^{2} d^{4} e^{2} - 36 \, a^{3} c d^{2} e^{4} + 8 \, a^{4} e^{6} + 10 \, {\left(9 \, c^{4} d^{5} e + 5 \, a c^{3} d^{3} e^{3}\right)} x^{3} + 3 \, {\left(21 \, c^{4} d^{6} + 48 \, a c^{3} d^{4} e^{2} + a^{2} c^{2} d^{2} e^{4}\right)} x^{2} + 2 \, {\left(63 \, a c^{3} d^{5} e + 9 \, a^{2} c^{2} d^{3} e^{3} - 2 \, a^{3} c d e^{5}\right)} x\right)} \sqrt{c d x + a e} {\left(e x + d\right)}}{315 \, {\left(c^{3} d^{3} e x + c^{3} d^{4}\right)}}"," ",0,"2/315*(35*c^4*d^4*e^2*x^4 + 63*a^2*c^2*d^4*e^2 - 36*a^3*c*d^2*e^4 + 8*a^4*e^6 + 10*(9*c^4*d^5*e + 5*a*c^3*d^3*e^3)*x^3 + 3*(21*c^4*d^6 + 48*a*c^3*d^4*e^2 + a^2*c^2*d^2*e^4)*x^2 + 2*(63*a*c^3*d^5*e + 9*a^2*c^2*d^3*e^3 - 2*a^3*c*d*e^5)*x)*sqrt(c*d*x + a*e)*(e*x + d)/(c^3*d^3*e*x + c^3*d^4)","A",0
2039,1,98,0,1.321762," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, c^{3} d^{3} e x^{3} + 7 \, a^{2} c d^{2} e^{2} - 2 \, a^{3} e^{4} + {\left(7 \, c^{3} d^{4} + 8 \, a c^{2} d^{2} e^{2}\right)} x^{2} + {\left(14 \, a c^{2} d^{3} e + a^{2} c d e^{3}\right)} x\right)} \sqrt{c d x + a e}}{35 \, c^{2} d^{2}}"," ",0,"2/35*(5*c^3*d^3*e*x^3 + 7*a^2*c*d^2*e^2 - 2*a^3*e^4 + (7*c^3*d^4 + 8*a*c^2*d^2*e^2)*x^2 + (14*a*c^2*d^3*e + a^2*c*d*e^3)*x)*sqrt(c*d*x + a*e)/(c^2*d^2)","A",0
2040,1,43,0,1.277622," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} x^{2} + 2 \, a c d e x + a^{2} e^{2}\right)} \sqrt{c d x + a e}}{5 \, c d}"," ",0,"2/5*(c^2*d^2*x^2 + 2*a*c*d*e*x + a^2*e^2)*sqrt(c*d*x + a*e)/(c*d)","A",0
2041,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/(e*x + d)^(5/2), x)","F",0
2042,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/(e*x + d)^(7/2), x)","F",0
2043,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/(e*x + d)^(9/2), x)","F",0
2044,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/(e*x + d)^(11/2), x)","F",0
2045,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/(e*x + d)^(13/2), x)","F",0
2046,1,448,0,1.451205," ","integrate((e*x+d)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, c^{7} d^{7} e^{4} x^{7} + 6435 \, a^{3} c^{4} d^{8} e^{3} - 5720 \, a^{4} c^{3} d^{6} e^{5} + 3120 \, a^{5} c^{2} d^{4} e^{7} - 960 \, a^{6} c d^{2} e^{9} + 128 \, a^{7} e^{11} + 231 \, {\left(60 \, c^{7} d^{8} e^{3} + 31 \, a c^{6} d^{6} e^{5}\right)} x^{6} + 63 \, {\left(390 \, c^{7} d^{9} e^{2} + 540 \, a c^{6} d^{7} e^{4} + 71 \, a^{2} c^{5} d^{5} e^{6}\right)} x^{5} + 35 \, {\left(572 \, c^{7} d^{10} e + 1794 \, a c^{6} d^{8} e^{3} + 636 \, a^{2} c^{5} d^{6} e^{5} + a^{3} c^{4} d^{4} e^{7}\right)} x^{4} + 5 \, {\left(1287 \, c^{7} d^{11} + 10868 \, a c^{6} d^{9} e^{2} + 8814 \, a^{2} c^{5} d^{7} e^{4} + 60 \, a^{3} c^{4} d^{5} e^{6} - 8 \, a^{4} c^{3} d^{3} e^{8}\right)} x^{3} + 3 \, {\left(6435 \, a c^{6} d^{10} e + 14300 \, a^{2} c^{5} d^{8} e^{3} + 390 \, a^{3} c^{4} d^{6} e^{5} - 120 \, a^{4} c^{3} d^{4} e^{7} + 16 \, a^{5} c^{2} d^{2} e^{9}\right)} x^{2} + {\left(19305 \, a^{2} c^{5} d^{9} e^{2} + 2860 \, a^{3} c^{4} d^{7} e^{4} - 1560 \, a^{4} c^{3} d^{5} e^{6} + 480 \, a^{5} c^{2} d^{3} e^{8} - 64 \, a^{6} c d e^{10}\right)} x\right)} \sqrt{c d x + a e} {\left(e x + d\right)}}{45045 \, {\left(c^{5} d^{5} e x + c^{5} d^{6}\right)}}"," ",0,"2/45045*(3003*c^7*d^7*e^4*x^7 + 6435*a^3*c^4*d^8*e^3 - 5720*a^4*c^3*d^6*e^5 + 3120*a^5*c^2*d^4*e^7 - 960*a^6*c*d^2*e^9 + 128*a^7*e^11 + 231*(60*c^7*d^8*e^3 + 31*a*c^6*d^6*e^5)*x^6 + 63*(390*c^7*d^9*e^2 + 540*a*c^6*d^7*e^4 + 71*a^2*c^5*d^5*e^6)*x^5 + 35*(572*c^7*d^10*e + 1794*a*c^6*d^8*e^3 + 636*a^2*c^5*d^6*e^5 + a^3*c^4*d^4*e^7)*x^4 + 5*(1287*c^7*d^11 + 10868*a*c^6*d^9*e^2 + 8814*a^2*c^5*d^7*e^4 + 60*a^3*c^4*d^5*e^6 - 8*a^4*c^3*d^3*e^8)*x^3 + 3*(6435*a*c^6*d^10*e + 14300*a^2*c^5*d^8*e^3 + 390*a^3*c^4*d^6*e^5 - 120*a^4*c^3*d^4*e^7 + 16*a^5*c^2*d^2*e^9)*x^2 + (19305*a^2*c^5*d^9*e^2 + 2860*a^3*c^4*d^7*e^4 - 1560*a^4*c^3*d^5*e^6 + 480*a^5*c^2*d^3*e^8 - 64*a^6*c*d*e^10)*x)*sqrt(c*d*x + a*e)*(e*x + d)/(c^5*d^5*e*x + c^5*d^6)","A",0
2047,1,335,0,1.599947," ","integrate((e*x+d)^(1/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(231 \, c^{6} d^{6} e^{3} x^{6} + 429 \, a^{3} c^{3} d^{6} e^{3} - 286 \, a^{4} c^{2} d^{4} e^{5} + 104 \, a^{5} c d^{2} e^{7} - 16 \, a^{6} e^{9} + 63 \, {\left(13 \, c^{6} d^{7} e^{2} + 9 \, a c^{5} d^{5} e^{4}\right)} x^{5} + 7 \, {\left(143 \, c^{6} d^{8} e + 299 \, a c^{5} d^{6} e^{3} + 53 \, a^{2} c^{4} d^{4} e^{5}\right)} x^{4} + {\left(429 \, c^{6} d^{9} + 2717 \, a c^{5} d^{7} e^{2} + 1469 \, a^{2} c^{4} d^{5} e^{4} + 5 \, a^{3} c^{3} d^{3} e^{6}\right)} x^{3} + 3 \, {\left(429 \, a c^{5} d^{8} e + 715 \, a^{2} c^{4} d^{6} e^{3} + 13 \, a^{3} c^{3} d^{4} e^{5} - 2 \, a^{4} c^{2} d^{2} e^{7}\right)} x^{2} + {\left(1287 \, a^{2} c^{4} d^{7} e^{2} + 143 \, a^{3} c^{3} d^{5} e^{4} - 52 \, a^{4} c^{2} d^{3} e^{6} + 8 \, a^{5} c d e^{8}\right)} x\right)} \sqrt{c d x + a e} {\left(e x + d\right)}}{3003 \, {\left(c^{4} d^{4} e x + c^{4} d^{5}\right)}}"," ",0,"2/3003*(231*c^6*d^6*e^3*x^6 + 429*a^3*c^3*d^6*e^3 - 286*a^4*c^2*d^4*e^5 + 104*a^5*c*d^2*e^7 - 16*a^6*e^9 + 63*(13*c^6*d^7*e^2 + 9*a*c^5*d^5*e^4)*x^5 + 7*(143*c^6*d^8*e + 299*a*c^5*d^6*e^3 + 53*a^2*c^4*d^4*e^5)*x^4 + (429*c^6*d^9 + 2717*a*c^5*d^7*e^2 + 1469*a^2*c^4*d^5*e^4 + 5*a^3*c^3*d^3*e^6)*x^3 + 3*(429*a*c^5*d^8*e + 715*a^2*c^4*d^6*e^3 + 13*a^3*c^3*d^4*e^5 - 2*a^4*c^2*d^2*e^7)*x^2 + (1287*a^2*c^4*d^7*e^2 + 143*a^3*c^3*d^5*e^4 - 52*a^4*c^2*d^3*e^6 + 8*a^5*c*d*e^8)*x)*sqrt(c*d*x + a*e)*(e*x + d)/(c^4*d^4*e*x + c^4*d^5)","A",0
2048,1,217,0,1.295875," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, c^{5} d^{5} e^{2} x^{5} + 99 \, a^{3} c^{2} d^{4} e^{3} - 44 \, a^{4} c d^{2} e^{5} + 8 \, a^{5} e^{7} + 7 \, {\left(22 \, c^{5} d^{6} e + 23 \, a c^{4} d^{4} e^{3}\right)} x^{4} + {\left(99 \, c^{5} d^{7} + 418 \, a c^{4} d^{5} e^{2} + 113 \, a^{2} c^{3} d^{3} e^{4}\right)} x^{3} + 3 \, {\left(99 \, a c^{4} d^{6} e + 110 \, a^{2} c^{3} d^{4} e^{3} + a^{3} c^{2} d^{2} e^{5}\right)} x^{2} + {\left(297 \, a^{2} c^{3} d^{5} e^{2} + 22 \, a^{3} c^{2} d^{3} e^{4} - 4 \, a^{4} c d e^{6}\right)} x\right)} \sqrt{c d x + a e}}{693 \, c^{3} d^{3}}"," ",0,"2/693*(63*c^5*d^5*e^2*x^5 + 99*a^3*c^2*d^4*e^3 - 44*a^4*c*d^2*e^5 + 8*a^5*e^7 + 7*(22*c^5*d^6*e + 23*a*c^4*d^4*e^3)*x^4 + (99*c^5*d^7 + 418*a*c^4*d^5*e^2 + 113*a^2*c^3*d^3*e^4)*x^3 + 3*(99*a*c^4*d^6*e + 110*a^2*c^3*d^4*e^3 + a^3*c^2*d^2*e^5)*x^2 + (297*a^2*c^3*d^5*e^2 + 22*a^3*c^2*d^3*e^4 - 4*a^4*c*d*e^6)*x)*sqrt(c*d*x + a*e)/(c^3*d^3)","A",0
2049,1,132,0,1.310899," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, c^{4} d^{4} e x^{4} + 9 \, a^{3} c d^{2} e^{3} - 2 \, a^{4} e^{5} + {\left(9 \, c^{4} d^{5} + 19 \, a c^{3} d^{3} e^{2}\right)} x^{3} + 3 \, {\left(9 \, a c^{3} d^{4} e + 5 \, a^{2} c^{2} d^{2} e^{3}\right)} x^{2} + {\left(27 \, a^{2} c^{2} d^{3} e^{2} + a^{3} c d e^{4}\right)} x\right)} \sqrt{c d x + a e}}{63 \, c^{2} d^{2}}"," ",0,"2/63*(7*c^4*d^4*e*x^4 + 9*a^3*c*d^2*e^3 - 2*a^4*e^5 + (9*c^4*d^5 + 19*a*c^3*d^3*e^2)*x^3 + 3*(9*a*c^3*d^4*e + 5*a^2*c^2*d^2*e^3)*x^2 + (27*a^2*c^2*d^3*e^2 + a^3*c*d*e^4)*x)*sqrt(c*d*x + a*e)/(c^2*d^2)","A",0
2050,1,60,0,1.268706," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{3} d^{3} x^{3} + 3 \, a c^{2} d^{2} e x^{2} + 3 \, a^{2} c d e^{2} x + a^{3} e^{3}\right)} \sqrt{c d x + a e}}{7 \, c d}"," ",0,"2/7*(c^3*d^3*x^3 + 3*a*c^2*d^2*e*x^2 + 3*a^2*c*d*e^2*x + a^3*e^3)*sqrt(c*d*x + a*e)/(c*d)","A",0
2051,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/(e*x + d)^(7/2), x)","F",0
2052,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/(e*x + d)^(9/2), x)","F",0
2053,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/(e*x + d)^(11/2), x)","F",0
2054,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/(e*x + d)^(13/2), x)","F",0
2055,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(15/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/(e*x + d)^(15/2), x)","F",0
2056,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(17/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{17}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/(e*x + d)^(17/2), x)","F",0
2057,1,192,0,1.389519," ","integrate((e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, c^{4} d^{4} e^{3} x^{4} + 35 \, a c^{3} d^{6} e - 70 \, a^{2} c^{2} d^{4} e^{3} + 56 \, a^{3} c d^{2} e^{5} - 16 \, a^{4} e^{7} + {\left(21 \, c^{4} d^{5} e^{2} - a c^{3} d^{3} e^{4}\right)} x^{3} + {\left(35 \, c^{4} d^{6} e - 7 \, a c^{3} d^{4} e^{3} + 2 \, a^{2} c^{2} d^{2} e^{5}\right)} x^{2} + {\left(35 \, c^{4} d^{7} - 35 \, a c^{3} d^{5} e^{2} + 28 \, a^{2} c^{2} d^{3} e^{4} - 8 \, a^{3} c d e^{6}\right)} x\right)}}{35 \, \sqrt{c d x + a e} c^{4} d^{4}}"," ",0,"2/35*(5*c^4*d^4*e^3*x^4 + 35*a*c^3*d^6*e - 70*a^2*c^2*d^4*e^3 + 56*a^3*c*d^2*e^5 - 16*a^4*e^7 + (21*c^4*d^5*e^2 - a*c^3*d^3*e^4)*x^3 + (35*c^4*d^6*e - 7*a*c^3*d^4*e^3 + 2*a^2*c^2*d^2*e^5)*x^2 + (35*c^4*d^7 - 35*a*c^3*d^5*e^2 + 28*a^2*c^2*d^3*e^4 - 8*a^3*c*d*e^6)*x)/(sqrt(c*d*x + a*e)*c^4*d^4)","A",0
2058,1,122,0,1.235162," ","integrate((e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, c^{3} d^{3} e^{2} x^{3} + 15 \, a c^{2} d^{4} e - 20 \, a^{2} c d^{2} e^{3} + 8 \, a^{3} e^{5} + {\left(10 \, c^{3} d^{4} e - a c^{2} d^{2} e^{3}\right)} x^{2} + {\left(15 \, c^{3} d^{5} - 10 \, a c^{2} d^{3} e^{2} + 4 \, a^{2} c d e^{4}\right)} x\right)}}{15 \, \sqrt{c d x + a e} c^{3} d^{3}}"," ",0,"2/15*(3*c^3*d^3*e^2*x^3 + 15*a*c^2*d^4*e - 20*a^2*c*d^2*e^3 + 8*a^3*e^5 + (10*c^3*d^4*e - a*c^2*d^2*e^3)*x^2 + (15*c^3*d^5 - 10*a*c^2*d^3*e^2 + 4*a^2*c*d*e^4)*x)/(sqrt(c*d*x + a*e)*c^3*d^3)","A",0
2059,1,65,0,1.249312," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} e x^{2} + 3 \, a c d^{2} e - 2 \, a^{2} e^{3} + {\left(3 \, c^{2} d^{3} - a c d e^{2}\right)} x\right)}}{3 \, \sqrt{c d x + a e} c^{2} d^{2}}"," ",0,"2/3*(c^2*d^2*e*x^2 + 3*a*c*d^2*e - 2*a^2*e^3 + (3*c^2*d^3 - a*c*d*e^2)*x)/(sqrt(c*d*x + a*e)*c^2*d^2)","A",0
2060,1,18,0,1.337096," ","integrate((e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{c d x + a e}}{c d}"," ",0,"2*sqrt(c*d*x + a*e)/(c*d)","A",0
2061,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*sqrt(e*x + d)), x)","F",0
2062,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(e*x + d)^(3/2)), x)","F",0
2063,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(e*x + d)^(5/2)), x)","F",0
2064,0,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(e*x + d)^(7/2)), x)","F",0
2065,1,79,0,1.251026," ","integrate((e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} e^{2} x^{2} - 3 \, c^{2} d^{4} + 12 \, a c d^{2} e^{2} - 8 \, a^{2} e^{4} + 2 \, {\left(3 \, c^{2} d^{3} e - 2 \, a c d e^{3}\right)} x\right)}}{3 \, \sqrt{c d x + a e} c^{3} d^{3}}"," ",0,"2/3*(c^2*d^2*e^2*x^2 - 3*c^2*d^4 + 12*a*c*d^2*e^2 - 8*a^2*e^4 + 2*(3*c^2*d^3*e - 2*a*c*d*e^3)*x)/(sqrt(c*d*x + a*e)*c^3*d^3)","A",0
2066,1,36,0,1.343704," ","integrate((e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c d e x - c d^{2} + 2 \, a e^{2}\right)}}{\sqrt{c d x + a e} c^{2} d^{2}}"," ",0,"2*(c*d*e*x - c*d^2 + 2*a*e^2)/(sqrt(c*d*x + a*e)*c^2*d^2)","A",0
2067,1,18,0,1.312378," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{c d x + a e} c d}"," ",0,"-2/(sqrt(c*d*x + a*e)*c*d)","A",0
2068,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2), x)","F",0
2069,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*sqrt(e*x + d)), x)","F",0
2070,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(e*x + d)^(3/2)), x)","F",0
2071,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(e*x + d)^(5/2)), x)","F",0
2072,0,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(e*x + d)^(7/2)), x)","F",0
2073,1,50,0,1.208829," ","integrate((e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, c d e x + c d^{2} + 2 \, a e^{2}\right)}}{3 \, {\left(c^{3} d^{3} x + a c^{2} d^{2} e\right)} \sqrt{c d x + a e}}"," ",0,"-2/3*(3*c*d*e*x + c*d^2 + 2*a*e^2)/((c^3*d^3*x + a*c^2*d^2*e)*sqrt(c*d*x + a*e))","A",0
2074,1,28,0,1.258302," ","integrate((e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(c^{2} d^{2} x + a c d e\right)} \sqrt{c d x + a e}}"," ",0,"-2/3/((c^2*d^2*x + a*c*d*e)*sqrt(c*d*x + a*e))","A",0
2075,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2), x)","F",0
2076,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2), x)","F",0
2077,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*sqrt(e*x + d)), x)","F",0
2078,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*(e*x + d)^(3/2)), x)","F",0
2079,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*(e*x + d)^(5/2)), x)","F",0
2080,0,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*(e*x + d)^(7/2)), x)","F",0
2081,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/(sqrt(-e^2*x^2 + d^2)*sqrt(e*x + d)), x)","F",0
2082,0,0,0,0.000000," ","integrate(1/(e*x-d)^(1/2)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} \sqrt{e x - d}}\,{d x}"," ",0,"integrate(1/(sqrt(-e^2*x^2 + d^2)*sqrt(e*x - d)), x)","F",0
2083,0,0,0,0.000000," ","integrate((e*x+d)^(2/3)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{2}{3}}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}\,{d x}"," ",0,"integrate((e*x + d)^(2/3)/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
2084,1,1819,0,1.961984," ","integrate((e*x+d)^m*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a^{2} c d^{4}}{m^{2} + 3 \, m + 2} + \frac{3 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a^{3} d^{2} e^{2}}{m^{2} + 3 \, m + 2} + \frac{{\left(e x + d\right)}^{m + 1} a^{3} d^{3} e^{2}}{m + 1} + \frac{9 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a^{2} c d^{3}}{m^{3} + 6 \, m^{2} + 11 \, m + 6} + \frac{3 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a c^{2} d^{5}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{2}} + \frac{3 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a^{3} d e^{2}}{m^{3} + 6 \, m^{2} + 11 \, m + 6} + \frac{9 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} a^{2} c d^{2}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24} + \frac{{\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} c^{3} d^{6}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{9 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} a c^{2} d^{4}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{2}} + \frac{{\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} a^{3} e^{2}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24} + \frac{3 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} a^{2} c d}{m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120} + \frac{3 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{3} d^{5}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{4}} + \frac{9 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} a c^{2} d^{3}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{2}} + \frac{3 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{6} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d e^{5} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{2} e^{4} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{3} e^{3} x^{3} - 60 \, {\left(m^{2} + m\right)} d^{4} e^{2} x^{2} + 120 \, d^{5} e m x - 120 \, d^{6}\right)} {\left(e x + d\right)}^{m} c^{3} d^{4}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{4}} + \frac{3 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{6} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d e^{5} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{2} e^{4} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{3} e^{3} x^{3} - 60 \, {\left(m^{2} + m\right)} d^{4} e^{2} x^{2} + 120 \, d^{5} e m x - 120 \, d^{6}\right)} {\left(e x + d\right)}^{m} a c^{2} d^{2}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{2}} + \frac{{\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d e^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{2} e^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{3} e^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{4} e^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} d^{5} e^{2} x^{2} - 720 \, d^{6} e m x + 720 \, d^{7}\right)} {\left(e x + d\right)}^{m} c^{3} d^{3}}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} e^{4}}"," ",0,"3*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^2*c*d^4/(m^2 + 3*m + 2) + 3*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^3*d^2*e^2/(m^2 + 3*m + 2) + (e*x + d)^(m + 1)*a^3*d^3*e^2/(m + 1) + 9*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^2*c*d^3/(m^3 + 6*m^2 + 11*m + 6) + 3*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a*c^2*d^5/((m^3 + 6*m^2 + 11*m + 6)*e^2) + 3*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^3*d*e^2/(m^3 + 6*m^2 + 11*m + 6) + 9*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a^2*c*d^2/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24) + ((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*c^3*d^6/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 9*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a*c^2*d^4/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^2) + ((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a^3*e^2/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24) + 3*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*a^2*c*d/(m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120) + 3*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^3*d^5/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^4) + 9*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*a*c^2*d^3/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^2) + 3*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m^2 + 2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*c^3*d^4/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^4) + 3*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m^2 + 2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*a*c^2*d^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^2) + ((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*c^3*d^3/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^4)","B",0
2085,1,691,0,1.480685," ","integrate((e*x+d)^m*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a c d^{3}}{{\left(m^{2} + 3 \, m + 2\right)} e} + \frac{2 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a^{2} d e}{m^{2} + 3 \, m + 2} + \frac{{\left(e x + d\right)}^{m + 1} a^{2} d^{2} e}{m + 1} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c^{2} d^{4}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{4 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a c d^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a^{2} e}{m^{3} + 6 \, m^{2} + 11 \, m + 6} + \frac{2 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} c^{2} d^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{3}} + \frac{2 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} a c d}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{2} d^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{3}}"," ",0,"2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a*c*d^3/((m^2 + 3*m + 2)*e) + 2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^2*d*e/(m^2 + 3*m + 2) + (e*x + d)^(m + 1)*a^2*d^2*e/(m + 1) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c^2*d^4/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 4*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a*c*d^2/((m^3 + 6*m^2 + 11*m + 6)*e) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^2*e/(m^3 + 6*m^2 + 11*m + 6) + 2*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*c^2*d^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^3) + 2*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a*c*d/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^2*d^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^3)","B",0
2086,1,174,0,1.199513," ","integrate((e*x+d)^m*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\frac{{\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a}{m^{2} + 3 \, m + 2} + \frac{{\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} c d^{2}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a d}{m + 1} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c d}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{2}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a/(m^2 + 3*m + 2) + (e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*c*d^2/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a*d/(m + 1) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c*d/((m^3 + 6*m^2 + 11*m + 6)*e^2)","B",0
2087,0,0,0,0.000000," ","integrate((e*x+d)^m/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
2088,0,0,0,0.000000," ","integrate((e*x+d)^m/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^2, x)","F",0
2089,0,0,0,0.000000," ","integrate((e*x+d)^m/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^3, x)","F",0
2090,0,0,0,0.000000," ","integrate((e*x+d)^m/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^4,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{4}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^4, x)","F",0
2091,0,0,0,0.000000," ","integrate((e*x+d)^m*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p*(e*x + d)^m, x)","F",0
2092,0,0,0,0.000000," ","integrate((e*x+d)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^3*(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p, x)","F",0
2093,0,0,0,0.000000," ","integrate((e*x+d)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^2*(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p, x)","F",0
2094,0,0,0,0.000000," ","integrate((e*x+d)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)*(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p, x)","F",0
2095,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p, x)","F",0
2096,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p}}{e x + d}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p/(e*x + d), x)","F",0
2097,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p/(e*x + d)^2, x)","F",0
2098,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p/(e*x + d)^3, x)","F",0
2099,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/((e*x+d)^(2*p)),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p}}{{\left(e x + d\right)}^{2 \, p}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p/(e*x + d)^(2*p), x)","F",0
2100,0,0,0,0.000000," ","integrate((e*x+d)^(-1-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 1}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p*(e*x + d)^(-2*p - 1), x)","F",0
2101,0,0,0,0.000000," ","integrate((e*x+d)^(-2-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 2}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p*(e*x + d)^(-2*p - 2), x)","F",0
2102,0,0,0,0.000000," ","integrate((e*x+d)^(-3-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 3}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p*(e*x + d)^(-2*p - 3), x)","F",0
2103,0,0,0,0.000000," ","integrate((e*x+d)^(-4-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 4}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p*(e*x + d)^(-2*p - 4), x)","F",0
2104,0,0,0,0.000000," ","integrate((e*x+d)^(-5-2*p)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p,x, algorithm=""maxima"")","\int {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 5}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^p*(e*x + d)^(-2*p - 5), x)","F",0
2105,1,33,0,1.164881," ","integrate((e*x+d)^m/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","-\frac{c d x + a e}{{\left(c d x + a e\right)}^{m} c d {\left(m - 1\right)}}"," ",0,"-(c*d*x + a*e)/((c*d*x + a*e)^m*c*d*(m - 1))","A",0
2106,1,30,0,1.074381," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^p/((e*x+d)^p),x, algorithm=""maxima"")","\frac{{\left(c d x + a e\right)} {\left(c d x + a e\right)}^{p}}{c d {\left(p + 1\right)}}"," ",0,"(c*d*x + a*e)*(c*d*x + a*e)^p/(c*d*(p + 1))","A",0
2107,1,135,0,0.988271," ","integrate((e*x+d)^4*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{7} \, c e^{4} x^{7} + \frac{1}{6} \, {\left(4 \, c d e^{3} + b e^{4}\right)} x^{6} + a d^{4} x + \frac{1}{5} \, {\left(6 \, c d^{2} e^{2} + 4 \, b d e^{3} + a e^{4}\right)} x^{5} + \frac{1}{2} \, {\left(2 \, c d^{3} e + 3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(c d^{4} + 4 \, b d^{3} e + 6 \, a d^{2} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b d^{4} + 4 \, a d^{3} e\right)} x^{2}"," ",0,"1/7*c*e^4*x^7 + 1/6*(4*c*d*e^3 + b*e^4)*x^6 + a*d^4*x + 1/5*(6*c*d^2*e^2 + 4*b*d*e^3 + a*e^4)*x^5 + 1/2*(2*c*d^3*e + 3*b*d^2*e^2 + 2*a*d*e^3)*x^4 + 1/3*(c*d^4 + 4*b*d^3*e + 6*a*d^2*e^2)*x^3 + 1/2*(b*d^4 + 4*a*d^3*e)*x^2","B",0
2108,1,102,0,0.939080," ","integrate((e*x+d)^3*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{6} \, c e^{3} x^{6} + \frac{1}{5} \, {\left(3 \, c d e^{2} + b e^{3}\right)} x^{5} + a d^{3} x + \frac{1}{4} \, {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b d^{3} + 3 \, a d^{2} e\right)} x^{2}"," ",0,"1/6*c*e^3*x^6 + 1/5*(3*c*d*e^2 + b*e^3)*x^5 + a*d^3*x + 1/4*(3*c*d^2*e + 3*b*d*e^2 + a*e^3)*x^4 + 1/3*(c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*x^3 + 1/2*(b*d^3 + 3*a*d^2*e)*x^2","A",0
2109,1,69,0,1.061520," ","integrate((e*x+d)^2*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{5} \, c e^{2} x^{5} + \frac{1}{4} \, {\left(2 \, c d e + b e^{2}\right)} x^{4} + a d^{2} x + \frac{1}{3} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b d^{2} + 2 \, a d e\right)} x^{2}"," ",0,"1/5*c*e^2*x^5 + 1/4*(2*c*d*e + b*e^2)*x^4 + a*d^2*x + 1/3*(c*d^2 + 2*b*d*e + a*e^2)*x^3 + 1/2*(b*d^2 + 2*a*d*e)*x^2","A",0
2110,1,36,0,1.021037," ","integrate((e*x+d)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, c e x^{4} + \frac{1}{3} \, {\left(c d + b e\right)} x^{3} + a d x + \frac{1}{2} \, {\left(b d + a e\right)} x^{2}"," ",0,"1/4*c*e*x^4 + 1/3*(c*d + b*e)*x^3 + a*d*x + 1/2*(b*d + a*e)*x^2","A",0
2111,1,16,0,1.081886," ","integrate(c*x^2+b*x+a,x, algorithm=""maxima"")","\frac{1}{3} \, c x^{3} + \frac{1}{2} \, b x^{2} + a x"," ",0,"1/3*c*x^3 + 1/2*b*x^2 + a*x","A",0
2112,1,50,0,1.011837," ","integrate((c*x^2+b*x+a)/(e*x+d),x, algorithm=""maxima"")","\frac{c e x^{2} - 2 \, {\left(c d - b e\right)} x}{2 \, e^{2}} + \frac{{\left(c d^{2} - b d e + a e^{2}\right)} \log\left(e x + d\right)}{e^{3}}"," ",0,"1/2*(c*e*x^2 - 2*(c*d - b*e)*x)/e^2 + (c*d^2 - b*d*e + a*e^2)*log(e*x + d)/e^3","A",0
2113,1,58,0,1.056620," ","integrate((c*x^2+b*x+a)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c d^{2} - b d e + a e^{2}}{e^{4} x + d e^{3}} + \frac{c x}{e^{2}} - \frac{{\left(2 \, c d - b e\right)} \log\left(e x + d\right)}{e^{3}}"," ",0,"-(c*d^2 - b*d*e + a*e^2)/(e^4*x + d*e^3) + c*x/e^2 - (2*c*d - b*e)*log(e*x + d)/e^3","A",0
2114,1,71,0,1.042846," ","integrate((c*x^2+b*x+a)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{3 \, c d^{2} - b d e - a e^{2} + 2 \, {\left(2 \, c d e - b e^{2}\right)} x}{2 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)}} + \frac{c \log\left(e x + d\right)}{e^{3}}"," ",0,"1/2*(3*c*d^2 - b*d*e - a*e^2 + 2*(2*c*d*e - b*e^2)*x)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) + c*log(e*x + d)/e^3","A",0
2115,1,77,0,1.065136," ","integrate((c*x^2+b*x+a)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{6 \, c e^{2} x^{2} + 2 \, c d^{2} + b d e + 2 \, a e^{2} + 3 \, {\left(2 \, c d e + b e^{2}\right)} x}{6 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}}"," ",0,"-1/6*(6*c*e^2*x^2 + 2*c*d^2 + b*d*e + 2*a*e^2 + 3*(2*c*d*e + b*e^2)*x)/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3)","A",0
2116,1,86,0,1.120413," ","integrate((c*x^2+b*x+a)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{6 \, c e^{2} x^{2} + c d^{2} + b d e + 3 \, a e^{2} + 4 \, {\left(c d e + b e^{2}\right)} x}{12 \, {\left(e^{7} x^{4} + 4 \, d e^{6} x^{3} + 6 \, d^{2} e^{5} x^{2} + 4 \, d^{3} e^{4} x + d^{4} e^{3}\right)}}"," ",0,"-1/12*(6*c*e^2*x^2 + c*d^2 + b*d*e + 3*a*e^2 + 4*(c*d*e + b*e^2)*x)/(e^7*x^4 + 4*d*e^6*x^3 + 6*d^2*e^5*x^2 + 4*d^3*e^4*x + d^4*e^3)","A",0
2117,1,101,0,1.186818," ","integrate((c*x^2+b*x+a)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{20 \, c e^{2} x^{2} + 2 \, c d^{2} + 3 \, b d e + 12 \, a e^{2} + 5 \, {\left(2 \, c d e + 3 \, b e^{2}\right)} x}{60 \, {\left(e^{8} x^{5} + 5 \, d e^{7} x^{4} + 10 \, d^{2} e^{6} x^{3} + 10 \, d^{3} e^{5} x^{2} + 5 \, d^{4} e^{4} x + d^{5} e^{3}\right)}}"," ",0,"-1/60*(20*c*e^2*x^2 + 2*c*d^2 + 3*b*d*e + 12*a*e^2 + 5*(2*c*d*e + 3*b*e^2)*x)/(e^8*x^5 + 5*d*e^7*x^4 + 10*d^2*e^6*x^3 + 10*d^3*e^5*x^2 + 5*d^4*e^4*x + d^5*e^3)","A",0
2118,1,277,0,1.096339," ","integrate((e*x+d)^4*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{9} \, c^{2} e^{4} x^{9} + \frac{1}{4} \, {\left(2 \, c^{2} d e^{3} + b c e^{4}\right)} x^{8} + \frac{1}{7} \, {\left(6 \, c^{2} d^{2} e^{2} + 8 \, b c d e^{3} + {\left(b^{2} + 2 \, a c\right)} e^{4}\right)} x^{7} + a^{2} d^{4} x + \frac{1}{3} \, {\left(2 \, c^{2} d^{3} e + 6 \, b c d^{2} e^{2} + a b e^{4} + 2 \, {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(c^{2} d^{4} + 8 \, b c d^{3} e + 8 \, a b d e^{3} + a^{2} e^{4} + 6 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} x^{5} + \frac{1}{2} \, {\left(b c d^{4} + 6 \, a b d^{2} e^{2} + 2 \, a^{2} d e^{3} + 2 \, {\left(b^{2} + 2 \, a c\right)} d^{3} e\right)} x^{4} + \frac{1}{3} \, {\left(8 \, a b d^{3} e + 6 \, a^{2} d^{2} e^{2} + {\left(b^{2} + 2 \, a c\right)} d^{4}\right)} x^{3} + {\left(a b d^{4} + 2 \, a^{2} d^{3} e\right)} x^{2}"," ",0,"1/9*c^2*e^4*x^9 + 1/4*(2*c^2*d*e^3 + b*c*e^4)*x^8 + 1/7*(6*c^2*d^2*e^2 + 8*b*c*d*e^3 + (b^2 + 2*a*c)*e^4)*x^7 + a^2*d^4*x + 1/3*(2*c^2*d^3*e + 6*b*c*d^2*e^2 + a*b*e^4 + 2*(b^2 + 2*a*c)*d*e^3)*x^6 + 1/5*(c^2*d^4 + 8*b*c*d^3*e + 8*a*b*d*e^3 + a^2*e^4 + 6*(b^2 + 2*a*c)*d^2*e^2)*x^5 + 1/2*(b*c*d^4 + 6*a*b*d^2*e^2 + 2*a^2*d*e^3 + 2*(b^2 + 2*a*c)*d^3*e)*x^4 + 1/3*(8*a*b*d^3*e + 6*a^2*d^2*e^2 + (b^2 + 2*a*c)*d^4)*x^3 + (a*b*d^4 + 2*a^2*d^3*e)*x^2","A",0
2119,1,218,0,1.021849," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, c^{2} e^{3} x^{8} + \frac{1}{7} \, {\left(3 \, c^{2} d e^{2} + 2 \, b c e^{3}\right)} x^{7} + \frac{1}{6} \, {\left(3 \, c^{2} d^{2} e + 6 \, b c d e^{2} + {\left(b^{2} + 2 \, a c\right)} e^{3}\right)} x^{6} + a^{2} d^{3} x + \frac{1}{5} \, {\left(c^{2} d^{3} + 6 \, b c d^{2} e + 2 \, a b e^{3} + 3 \, {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(2 \, b c d^{3} + 6 \, a b d e^{2} + a^{2} e^{3} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e\right)} x^{4} + \frac{1}{3} \, {\left(6 \, a b d^{2} e + 3 \, a^{2} d e^{2} + {\left(b^{2} + 2 \, a c\right)} d^{3}\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b d^{3} + 3 \, a^{2} d^{2} e\right)} x^{2}"," ",0,"1/8*c^2*e^3*x^8 + 1/7*(3*c^2*d*e^2 + 2*b*c*e^3)*x^7 + 1/6*(3*c^2*d^2*e + 6*b*c*d*e^2 + (b^2 + 2*a*c)*e^3)*x^6 + a^2*d^3*x + 1/5*(c^2*d^3 + 6*b*c*d^2*e + 2*a*b*e^3 + 3*(b^2 + 2*a*c)*d*e^2)*x^5 + 1/4*(2*b*c*d^3 + 6*a*b*d*e^2 + a^2*e^3 + 3*(b^2 + 2*a*c)*d^2*e)*x^4 + 1/3*(6*a*b*d^2*e + 3*a^2*d*e^2 + (b^2 + 2*a*c)*d^3)*x^3 + 1/2*(2*a*b*d^3 + 3*a^2*d^2*e)*x^2","A",0
2120,1,146,0,1.089630," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{7} \, c^{2} e^{2} x^{7} + \frac{1}{3} \, {\left(c^{2} d e + b c e^{2}\right)} x^{6} + \frac{1}{5} \, {\left(c^{2} d^{2} + 4 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} x^{5} + a^{2} d^{2} x + \frac{1}{2} \, {\left(b c d^{2} + a b e^{2} + {\left(b^{2} + 2 \, a c\right)} d e\right)} x^{4} + \frac{1}{3} \, {\left(4 \, a b d e + a^{2} e^{2} + {\left(b^{2} + 2 \, a c\right)} d^{2}\right)} x^{3} + {\left(a b d^{2} + a^{2} d e\right)} x^{2}"," ",0,"1/7*c^2*e^2*x^7 + 1/3*(c^2*d*e + b*c*e^2)*x^6 + 1/5*(c^2*d^2 + 4*b*c*d*e + (b^2 + 2*a*c)*e^2)*x^5 + a^2*d^2*x + 1/2*(b*c*d^2 + a*b*e^2 + (b^2 + 2*a*c)*d*e)*x^4 + 1/3*(4*a*b*d*e + a^2*e^2 + (b^2 + 2*a*c)*d^2)*x^3 + (a*b*d^2 + a^2*d*e)*x^2","A",0
2121,1,90,0,0.986239," ","integrate((e*x+d)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, c^{2} e x^{6} + \frac{1}{5} \, {\left(c^{2} d + 2 \, b c e\right)} x^{5} + \frac{1}{4} \, {\left(2 \, b c d + {\left(b^{2} + 2 \, a c\right)} e\right)} x^{4} + a^{2} d x + \frac{1}{3} \, {\left(2 \, a b e + {\left(b^{2} + 2 \, a c\right)} d\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b d + a^{2} e\right)} x^{2}"," ",0,"1/6*c^2*e*x^6 + 1/5*(c^2*d + 2*b*c*e)*x^5 + 1/4*(2*b*c*d + (b^2 + 2*a*c)*e)*x^4 + a^2*d*x + 1/3*(2*a*b*e + (b^2 + 2*a*c)*d)*x^3 + 1/2*(2*a*b*d + a^2*e)*x^2","A",0
2122,1,45,0,1.120838," ","integrate((c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{5} \, c^{2} x^{5} + \frac{1}{2} \, b c x^{4} + \frac{1}{3} \, b^{2} x^{3} + a^{2} x + \frac{1}{3} \, {\left(2 \, c x^{3} + 3 \, b x^{2}\right)} a"," ",0,"1/5*c^2*x^5 + 1/2*b*c*x^4 + 1/3*b^2*x^3 + a^2*x + 1/3*(2*c*x^3 + 3*b*x^2)*a","A",0
2123,1,168,0,1.006055," ","integrate((c*x^2+b*x+a)^2/(e*x+d),x, algorithm=""maxima"")","\frac{3 \, c^{2} e^{3} x^{4} - 4 \, {\left(c^{2} d e^{2} - 2 \, b c e^{3}\right)} x^{3} + 6 \, {\left(c^{2} d^{2} e - 2 \, b c d e^{2} + {\left(b^{2} + 2 \, a c\right)} e^{3}\right)} x^{2} - 12 \, {\left(c^{2} d^{3} - 2 \, b c d^{2} e - 2 \, a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} x}{12 \, e^{4}} + \frac{{\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/12*(3*c^2*e^3*x^4 - 4*(c^2*d*e^2 - 2*b*c*e^3)*x^3 + 6*(c^2*d^2*e - 2*b*c*d*e^2 + (b^2 + 2*a*c)*e^3)*x^2 - 12*(c^2*d^3 - 2*b*c*d^2*e - 2*a*b*e^3 + (b^2 + 2*a*c)*d*e^2)*x)/e^4 + (c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*log(e*x + d)/e^5","A",0
2124,1,175,0,1.078542," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}}{e^{6} x + d e^{5}} + \frac{c^{2} e^{2} x^{3} - 3 \, {\left(c^{2} d e - b c e^{2}\right)} x^{2} + 3 \, {\left(3 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} x}{3 \, e^{4}} - \frac{2 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e - a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"-(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)/(e^6*x + d*e^5) + 1/3*(c^2*e^2*x^3 - 3*(c^2*d*e - b*c*e^2)*x^2 + 3*(3*c^2*d^2 - 4*b*c*d*e + (b^2 + 2*a*c)*e^2)*x)/e^4 - 2*(2*c^2*d^3 - 3*b*c*d^2*e - a*b*e^3 + (b^2 + 2*a*c)*d*e^2)*log(e*x + d)/e^5","A",0
2125,1,185,0,1.062489," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^3,x, algorithm=""maxima"")","\frac{7 \, c^{2} d^{4} - 10 \, b c d^{3} e - 2 \, a b d e^{3} - a^{2} e^{4} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2} + 4 \, {\left(2 \, c^{2} d^{3} e - 3 \, b c d^{2} e^{2} - a b e^{4} + {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} x}{2 \, {\left(e^{7} x^{2} + 2 \, d e^{6} x + d^{2} e^{5}\right)}} + \frac{c^{2} e x^{2} - 2 \, {\left(3 \, c^{2} d - 2 \, b c e\right)} x}{2 \, e^{4}} + \frac{{\left(6 \, c^{2} d^{2} - 6 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/2*(7*c^2*d^4 - 10*b*c*d^3*e - 2*a*b*d*e^3 - a^2*e^4 + 3*(b^2 + 2*a*c)*d^2*e^2 + 4*(2*c^2*d^3*e - 3*b*c*d^2*e^2 - a*b*e^4 + (b^2 + 2*a*c)*d*e^3)*x)/(e^7*x^2 + 2*d*e^6*x + d^2*e^5) + 1/2*(c^2*e*x^2 - 2*(3*c^2*d - 2*b*c*e)*x)/e^4 + (6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*log(e*x + d)/e^5","A",0
2126,1,194,0,1.147976," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{13 \, c^{2} d^{4} - 11 \, b c d^{3} e + a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2} + 3 \, {\left(6 \, c^{2} d^{2} e^{2} - 6 \, b c d e^{3} + {\left(b^{2} + 2 \, a c\right)} e^{4}\right)} x^{2} + 3 \, {\left(10 \, c^{2} d^{3} e - 9 \, b c d^{2} e^{2} + a b e^{4} + {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} x}{3 \, {\left(e^{8} x^{3} + 3 \, d e^{7} x^{2} + 3 \, d^{2} e^{6} x + d^{3} e^{5}\right)}} + \frac{c^{2} x}{e^{4}} - \frac{2 \, {\left(2 \, c^{2} d - b c e\right)} \log\left(e x + d\right)}{e^{5}}"," ",0,"-1/3*(13*c^2*d^4 - 11*b*c*d^3*e + a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2 + 3*(6*c^2*d^2*e^2 - 6*b*c*d*e^3 + (b^2 + 2*a*c)*e^4)*x^2 + 3*(10*c^2*d^3*e - 9*b*c*d^2*e^2 + a*b*e^4 + (b^2 + 2*a*c)*d*e^3)*x)/(e^8*x^3 + 3*d*e^7*x^2 + 3*d^2*e^6*x + d^3*e^5) + c^2*x/e^4 - 2*(2*c^2*d - b*c*e)*log(e*x + d)/e^5","A",0
2127,1,215,0,1.056097," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^5,x, algorithm=""maxima"")","\frac{25 \, c^{2} d^{4} - 6 \, b c d^{3} e - 2 \, a b d e^{3} - 3 \, a^{2} e^{4} - {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2} + 24 \, {\left(2 \, c^{2} d e^{3} - b c e^{4}\right)} x^{3} + 6 \, {\left(18 \, c^{2} d^{2} e^{2} - 6 \, b c d e^{3} - {\left(b^{2} + 2 \, a c\right)} e^{4}\right)} x^{2} + 4 \, {\left(22 \, c^{2} d^{3} e - 6 \, b c d^{2} e^{2} - 2 \, a b e^{4} - {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} x}{12 \, {\left(e^{9} x^{4} + 4 \, d e^{8} x^{3} + 6 \, d^{2} e^{7} x^{2} + 4 \, d^{3} e^{6} x + d^{4} e^{5}\right)}} + \frac{c^{2} \log\left(e x + d\right)}{e^{5}}"," ",0,"1/12*(25*c^2*d^4 - 6*b*c*d^3*e - 2*a*b*d*e^3 - 3*a^2*e^4 - (b^2 + 2*a*c)*d^2*e^2 + 24*(2*c^2*d*e^3 - b*c*e^4)*x^3 + 6*(18*c^2*d^2*e^2 - 6*b*c*d*e^3 - (b^2 + 2*a*c)*e^4)*x^2 + 4*(22*c^2*d^3*e - 6*b*c*d^2*e^2 - 2*a*b*e^4 - (b^2 + 2*a*c)*d*e^3)*x)/(e^9*x^4 + 4*d*e^8*x^3 + 6*d^2*e^7*x^2 + 4*d^3*e^6*x + d^4*e^5) + c^2*log(e*x + d)/e^5","A",0
2128,1,219,0,1.137556," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{30 \, c^{2} e^{4} x^{4} + 6 \, c^{2} d^{4} + 3 \, b c d^{3} e + 3 \, a b d e^{3} + 6 \, a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2} + 30 \, {\left(2 \, c^{2} d e^{3} + b c e^{4}\right)} x^{3} + 10 \, {\left(6 \, c^{2} d^{2} e^{2} + 3 \, b c d e^{3} + {\left(b^{2} + 2 \, a c\right)} e^{4}\right)} x^{2} + 5 \, {\left(6 \, c^{2} d^{3} e + 3 \, b c d^{2} e^{2} + 3 \, a b e^{4} + {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} x}{30 \, {\left(e^{10} x^{5} + 5 \, d e^{9} x^{4} + 10 \, d^{2} e^{8} x^{3} + 10 \, d^{3} e^{7} x^{2} + 5 \, d^{4} e^{6} x + d^{5} e^{5}\right)}}"," ",0,"-1/30*(30*c^2*e^4*x^4 + 6*c^2*d^4 + 3*b*c*d^3*e + 3*a*b*d*e^3 + 6*a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2 + 30*(2*c^2*d*e^3 + b*c*e^4)*x^3 + 10*(6*c^2*d^2*e^2 + 3*b*c*d*e^3 + (b^2 + 2*a*c)*e^4)*x^2 + 5*(6*c^2*d^3*e + 3*b*c*d^2*e^2 + 3*a*b*e^4 + (b^2 + 2*a*c)*d*e^3)*x)/(e^10*x^5 + 5*d*e^9*x^4 + 10*d^2*e^8*x^3 + 10*d^3*e^7*x^2 + 5*d^4*e^6*x + d^5*e^5)","A",0
2129,1,229,0,1.121034," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{30 \, c^{2} e^{4} x^{4} + 2 \, c^{2} d^{4} + 2 \, b c d^{3} e + 4 \, a b d e^{3} + 10 \, a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2} + 40 \, {\left(c^{2} d e^{3} + b c e^{4}\right)} x^{3} + 15 \, {\left(2 \, c^{2} d^{2} e^{2} + 2 \, b c d e^{3} + {\left(b^{2} + 2 \, a c\right)} e^{4}\right)} x^{2} + 6 \, {\left(2 \, c^{2} d^{3} e + 2 \, b c d^{2} e^{2} + 4 \, a b e^{4} + {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} x}{60 \, {\left(e^{11} x^{6} + 6 \, d e^{10} x^{5} + 15 \, d^{2} e^{9} x^{4} + 20 \, d^{3} e^{8} x^{3} + 15 \, d^{4} e^{7} x^{2} + 6 \, d^{5} e^{6} x + d^{6} e^{5}\right)}}"," ",0,"-1/60*(30*c^2*e^4*x^4 + 2*c^2*d^4 + 2*b*c*d^3*e + 4*a*b*d*e^3 + 10*a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2 + 40*(c^2*d*e^3 + b*c*e^4)*x^3 + 15*(2*c^2*d^2*e^2 + 2*b*c*d*e^3 + (b^2 + 2*a*c)*e^4)*x^2 + 6*(2*c^2*d^3*e + 2*b*c*d^2*e^2 + 4*a*b*e^4 + (b^2 + 2*a*c)*d*e^3)*x)/(e^11*x^6 + 6*d*e^10*x^5 + 15*d^2*e^9*x^4 + 20*d^3*e^8*x^3 + 15*d^4*e^7*x^2 + 6*d^5*e^6*x + d^6*e^5)","A",0
2130,1,245,0,1.129907," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{70 \, c^{2} e^{4} x^{4} + 2 \, c^{2} d^{4} + 3 \, b c d^{3} e + 10 \, a b d e^{3} + 30 \, a^{2} e^{4} + 2 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2} + 35 \, {\left(2 \, c^{2} d e^{3} + 3 \, b c e^{4}\right)} x^{3} + 21 \, {\left(2 \, c^{2} d^{2} e^{2} + 3 \, b c d e^{3} + 2 \, {\left(b^{2} + 2 \, a c\right)} e^{4}\right)} x^{2} + 7 \, {\left(2 \, c^{2} d^{3} e + 3 \, b c d^{2} e^{2} + 10 \, a b e^{4} + 2 \, {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} x}{210 \, {\left(e^{12} x^{7} + 7 \, d e^{11} x^{6} + 21 \, d^{2} e^{10} x^{5} + 35 \, d^{3} e^{9} x^{4} + 35 \, d^{4} e^{8} x^{3} + 21 \, d^{5} e^{7} x^{2} + 7 \, d^{6} e^{6} x + d^{7} e^{5}\right)}}"," ",0,"-1/210*(70*c^2*e^4*x^4 + 2*c^2*d^4 + 3*b*c*d^3*e + 10*a*b*d*e^3 + 30*a^2*e^4 + 2*(b^2 + 2*a*c)*d^2*e^2 + 35*(2*c^2*d*e^3 + 3*b*c*e^4)*x^3 + 21*(2*c^2*d^2*e^2 + 3*b*c*d*e^3 + 2*(b^2 + 2*a*c)*e^4)*x^2 + 7*(2*c^2*d^3*e + 3*b*c*d^2*e^2 + 10*a*b*e^4 + 2*(b^2 + 2*a*c)*d*e^3)*x)/(e^12*x^7 + 7*d*e^11*x^6 + 21*d^2*e^10*x^5 + 35*d^3*e^9*x^4 + 35*d^4*e^8*x^3 + 21*d^5*e^7*x^2 + 7*d^6*e^6*x + d^7*e^5)","A",0
2131,1,484,0,1.053043," ","integrate((e*x+d)^4*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{11} \, c^{3} e^{4} x^{11} + \frac{1}{10} \, {\left(4 \, c^{3} d e^{3} + 3 \, b c^{2} e^{4}\right)} x^{10} + \frac{1}{3} \, {\left(2 \, c^{3} d^{2} e^{2} + 4 \, b c^{2} d e^{3} + {\left(b^{2} c + a c^{2}\right)} e^{4}\right)} x^{9} + \frac{1}{8} \, {\left(4 \, c^{3} d^{3} e + 18 \, b c^{2} d^{2} e^{2} + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{3} + {\left(b^{3} + 6 \, a b c\right)} e^{4}\right)} x^{8} + a^{3} d^{4} x + \frac{1}{7} \, {\left(c^{3} d^{4} + 12 \, b c^{2} d^{3} e + 18 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} + 6 \, a b c\right)} d e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} x^{7} + \frac{1}{2} \, {\left(b c^{2} d^{4} + a^{2} b e^{4} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e + 2 \, {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{2} + 4 \, {\left(a b^{2} + a^{2} c\right)} d e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(12 \, a^{2} b d e^{3} + a^{3} e^{4} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} + 4 \, {\left(b^{3} + 6 \, a b c\right)} d^{3} e + 18 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(18 \, a^{2} b d^{2} e^{2} + 4 \, a^{3} d e^{3} + {\left(b^{3} + 6 \, a b c\right)} d^{4} + 12 \, {\left(a b^{2} + a^{2} c\right)} d^{3} e\right)} x^{4} + {\left(4 \, a^{2} b d^{3} e + 2 \, a^{3} d^{2} e^{2} + {\left(a b^{2} + a^{2} c\right)} d^{4}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b d^{4} + 4 \, a^{3} d^{3} e\right)} x^{2}"," ",0,"1/11*c^3*e^4*x^11 + 1/10*(4*c^3*d*e^3 + 3*b*c^2*e^4)*x^10 + 1/3*(2*c^3*d^2*e^2 + 4*b*c^2*d*e^3 + (b^2*c + a*c^2)*e^4)*x^9 + 1/8*(4*c^3*d^3*e + 18*b*c^2*d^2*e^2 + 12*(b^2*c + a*c^2)*d*e^3 + (b^3 + 6*a*b*c)*e^4)*x^8 + a^3*d^4*x + 1/7*(c^3*d^4 + 12*b*c^2*d^3*e + 18*(b^2*c + a*c^2)*d^2*e^2 + 4*(b^3 + 6*a*b*c)*d*e^3 + 3*(a*b^2 + a^2*c)*e^4)*x^7 + 1/2*(b*c^2*d^4 + a^2*b*e^4 + 4*(b^2*c + a*c^2)*d^3*e + 2*(b^3 + 6*a*b*c)*d^2*e^2 + 4*(a*b^2 + a^2*c)*d*e^3)*x^6 + 1/5*(12*a^2*b*d*e^3 + a^3*e^4 + 3*(b^2*c + a*c^2)*d^4 + 4*(b^3 + 6*a*b*c)*d^3*e + 18*(a*b^2 + a^2*c)*d^2*e^2)*x^5 + 1/4*(18*a^2*b*d^2*e^2 + 4*a^3*d*e^3 + (b^3 + 6*a*b*c)*d^4 + 12*(a*b^2 + a^2*c)*d^3*e)*x^4 + (4*a^2*b*d^3*e + 2*a^3*d^2*e^2 + (a*b^2 + a^2*c)*d^4)*x^3 + 1/2*(3*a^2*b*d^4 + 4*a^3*d^3*e)*x^2","A",0
2132,1,367,0,1.126605," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{10} \, c^{3} e^{3} x^{10} + \frac{1}{3} \, {\left(c^{3} d e^{2} + b c^{2} e^{3}\right)} x^{9} + \frac{3}{8} \, {\left(c^{3} d^{2} e + 3 \, b c^{2} d e^{2} + {\left(b^{2} c + a c^{2}\right)} e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(c^{3} d^{3} + 9 \, b c^{2} d^{2} e + 9 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} + {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} x^{7} + a^{3} d^{3} x + \frac{1}{2} \, {\left(b c^{2} d^{3} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e + {\left(b^{3} + 6 \, a b c\right)} d e^{2} + {\left(a b^{2} + a^{2} c\right)} e^{3}\right)} x^{6} + \frac{3}{5} \, {\left(a^{2} b e^{3} + {\left(b^{2} c + a c^{2}\right)} d^{3} + {\left(b^{3} + 6 \, a b c\right)} d^{2} e + 3 \, {\left(a b^{2} + a^{2} c\right)} d e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(9 \, a^{2} b d e^{2} + a^{3} e^{3} + {\left(b^{3} + 6 \, a b c\right)} d^{3} + 9 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e\right)} x^{4} + {\left(3 \, a^{2} b d^{2} e + a^{3} d e^{2} + {\left(a b^{2} + a^{2} c\right)} d^{3}\right)} x^{3} + \frac{3}{2} \, {\left(a^{2} b d^{3} + a^{3} d^{2} e\right)} x^{2}"," ",0,"1/10*c^3*e^3*x^10 + 1/3*(c^3*d*e^2 + b*c^2*e^3)*x^9 + 3/8*(c^3*d^2*e + 3*b*c^2*d*e^2 + (b^2*c + a*c^2)*e^3)*x^8 + 1/7*(c^3*d^3 + 9*b*c^2*d^2*e + 9*(b^2*c + a*c^2)*d*e^2 + (b^3 + 6*a*b*c)*e^3)*x^7 + a^3*d^3*x + 1/2*(b*c^2*d^3 + 3*(b^2*c + a*c^2)*d^2*e + (b^3 + 6*a*b*c)*d*e^2 + (a*b^2 + a^2*c)*e^3)*x^6 + 3/5*(a^2*b*e^3 + (b^2*c + a*c^2)*d^3 + (b^3 + 6*a*b*c)*d^2*e + 3*(a*b^2 + a^2*c)*d*e^2)*x^5 + 1/4*(9*a^2*b*d*e^2 + a^3*e^3 + (b^3 + 6*a*b*c)*d^3 + 9*(a*b^2 + a^2*c)*d^2*e)*x^4 + (3*a^2*b*d^2*e + a^3*d*e^2 + (a*b^2 + a^2*c)*d^3)*x^3 + 3/2*(a^2*b*d^3 + a^3*d^2*e)*x^2","A",0
2133,1,275,0,1.084883," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{9} \, c^{3} e^{2} x^{9} + \frac{1}{8} \, {\left(2 \, c^{3} d e + 3 \, b c^{2} e^{2}\right)} x^{8} + \frac{1}{7} \, {\left(c^{3} d^{2} + 6 \, b c^{2} d e + 3 \, {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} x^{7} + \frac{1}{6} \, {\left(3 \, b c^{2} d^{2} + 6 \, {\left(b^{2} c + a c^{2}\right)} d e + {\left(b^{3} + 6 \, a b c\right)} e^{2}\right)} x^{6} + a^{3} d^{2} x + \frac{1}{5} \, {\left(3 \, {\left(b^{2} c + a c^{2}\right)} d^{2} + 2 \, {\left(b^{3} + 6 \, a b c\right)} d e + 3 \, {\left(a b^{2} + a^{2} c\right)} e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(3 \, a^{2} b e^{2} + {\left(b^{3} + 6 \, a b c\right)} d^{2} + 6 \, {\left(a b^{2} + a^{2} c\right)} d e\right)} x^{4} + \frac{1}{3} \, {\left(6 \, a^{2} b d e + a^{3} e^{2} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b d^{2} + 2 \, a^{3} d e\right)} x^{2}"," ",0,"1/9*c^3*e^2*x^9 + 1/8*(2*c^3*d*e + 3*b*c^2*e^2)*x^8 + 1/7*(c^3*d^2 + 6*b*c^2*d*e + 3*(b^2*c + a*c^2)*e^2)*x^7 + 1/6*(3*b*c^2*d^2 + 6*(b^2*c + a*c^2)*d*e + (b^3 + 6*a*b*c)*e^2)*x^6 + a^3*d^2*x + 1/5*(3*(b^2*c + a*c^2)*d^2 + 2*(b^3 + 6*a*b*c)*d*e + 3*(a*b^2 + a^2*c)*e^2)*x^5 + 1/4*(3*a^2*b*e^2 + (b^3 + 6*a*b*c)*d^2 + 6*(a*b^2 + a^2*c)*d*e)*x^4 + 1/3*(6*a^2*b*d*e + a^3*e^2 + 3*(a*b^2 + a^2*c)*d^2)*x^3 + 1/2*(3*a^2*b*d^2 + 2*a^3*d*e)*x^2","A",0
2134,1,163,0,1.037855," ","integrate((e*x+d)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{8} \, c^{3} e x^{8} + \frac{1}{7} \, {\left(c^{3} d + 3 \, b c^{2} e\right)} x^{7} + \frac{1}{2} \, {\left(b c^{2} d + {\left(b^{2} c + a c^{2}\right)} e\right)} x^{6} + \frac{1}{5} \, {\left(3 \, {\left(b^{2} c + a c^{2}\right)} d + {\left(b^{3} + 6 \, a b c\right)} e\right)} x^{5} + a^{3} d x + \frac{1}{4} \, {\left({\left(b^{3} + 6 \, a b c\right)} d + 3 \, {\left(a b^{2} + a^{2} c\right)} e\right)} x^{4} + {\left(a^{2} b e + {\left(a b^{2} + a^{2} c\right)} d\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b d + a^{3} e\right)} x^{2}"," ",0,"1/8*c^3*e*x^8 + 1/7*(c^3*d + 3*b*c^2*e)*x^7 + 1/2*(b*c^2*d + (b^2*c + a*c^2)*e)*x^6 + 1/5*(3*(b^2*c + a*c^2)*d + (b^3 + 6*a*b*c)*e)*x^5 + a^3*d*x + 1/4*((b^3 + 6*a*b*c)*d + 3*(a*b^2 + a^2*c)*e)*x^4 + (a^2*b*e + (a*b^2 + a^2*c)*d)*x^3 + 1/2*(3*a^2*b*d + a^3*e)*x^2","A",0
2135,1,85,0,1.130350," ","integrate((c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{7} \, c^{3} x^{7} + \frac{1}{2} \, b c^{2} x^{6} + \frac{3}{5} \, b^{2} c x^{5} + \frac{1}{4} \, b^{3} x^{4} + a^{3} x + \frac{1}{2} \, {\left(2 \, c x^{3} + 3 \, b x^{2}\right)} a^{2} + \frac{1}{10} \, {\left(6 \, c^{2} x^{5} + 15 \, b c x^{4} + 10 \, b^{2} x^{3}\right)} a"," ",0,"1/7*c^3*x^7 + 1/2*b*c^2*x^6 + 3/5*b^2*c*x^5 + 1/4*b^3*x^4 + a^3*x + 1/2*(2*c*x^3 + 3*b*x^2)*a^2 + 1/10*(6*c^2*x^5 + 15*b*c*x^4 + 10*b^2*x^3)*a","A",0
2136,1,401,0,1.123023," ","integrate((c*x^2+b*x+a)^3/(e*x+d),x, algorithm=""maxima"")","\frac{10 \, c^{3} e^{5} x^{6} - 12 \, {\left(c^{3} d e^{4} - 3 \, b c^{2} e^{5}\right)} x^{5} + 15 \, {\left(c^{3} d^{2} e^{3} - 3 \, b c^{2} d e^{4} + 3 \, {\left(b^{2} c + a c^{2}\right)} e^{5}\right)} x^{4} - 20 \, {\left(c^{3} d^{3} e^{2} - 3 \, b c^{2} d^{2} e^{3} + 3 \, {\left(b^{2} c + a c^{2}\right)} d e^{4} - {\left(b^{3} + 6 \, a b c\right)} e^{5}\right)} x^{3} + 30 \, {\left(c^{3} d^{4} e - 3 \, b c^{2} d^{3} e^{2} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{3} - {\left(b^{3} + 6 \, a b c\right)} d e^{4} + 3 \, {\left(a b^{2} + a^{2} c\right)} e^{5}\right)} x^{2} - 60 \, {\left(c^{3} d^{5} - 3 \, b c^{2} d^{4} e - 3 \, a^{2} b e^{5} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d e^{4}\right)} x}{60 \, e^{6}} + \frac{{\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/60*(10*c^3*e^5*x^6 - 12*(c^3*d*e^4 - 3*b*c^2*e^5)*x^5 + 15*(c^3*d^2*e^3 - 3*b*c^2*d*e^4 + 3*(b^2*c + a*c^2)*e^5)*x^4 - 20*(c^3*d^3*e^2 - 3*b*c^2*d^2*e^3 + 3*(b^2*c + a*c^2)*d*e^4 - (b^3 + 6*a*b*c)*e^5)*x^3 + 30*(c^3*d^4*e - 3*b*c^2*d^3*e^2 + 3*(b^2*c + a*c^2)*d^2*e^3 - (b^3 + 6*a*b*c)*d*e^4 + 3*(a*b^2 + a^2*c)*e^5)*x^2 - 60*(c^3*d^5 - 3*b*c^2*d^4*e - 3*a^2*b*e^5 + 3*(b^2*c + a*c^2)*d^3*e^2 - (b^3 + 6*a*b*c)*d^2*e^3 + 3*(a*b^2 + a^2*c)*d*e^4)*x)/e^6 + (c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4)*log(e*x + d)/e^7","A",0
2137,1,410,0,1.089239," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}}{e^{8} x + d e^{7}} + \frac{4 \, c^{3} e^{4} x^{5} - 5 \, {\left(2 \, c^{3} d e^{3} - 3 \, b c^{2} e^{4}\right)} x^{4} + 20 \, {\left(c^{3} d^{2} e^{2} - 2 \, b c^{2} d e^{3} + {\left(b^{2} c + a c^{2}\right)} e^{4}\right)} x^{3} - 10 \, {\left(4 \, c^{3} d^{3} e - 9 \, b c^{2} d^{2} e^{2} + 6 \, {\left(b^{2} c + a c^{2}\right)} d e^{3} - {\left(b^{3} + 6 \, a b c\right)} e^{4}\right)} x^{2} + 20 \, {\left(5 \, c^{3} d^{4} - 12 \, b c^{2} d^{3} e + 9 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - 2 \, {\left(b^{3} + 6 \, a b c\right)} d e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} x}{20 \, e^{6}} - \frac{3 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e - a^{2} b e^{5} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{4}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4)/(e^8*x + d*e^7) + 1/20*(4*c^3*e^4*x^5 - 5*(2*c^3*d*e^3 - 3*b*c^2*e^4)*x^4 + 20*(c^3*d^2*e^2 - 2*b*c^2*d*e^3 + (b^2*c + a*c^2)*e^4)*x^3 - 10*(4*c^3*d^3*e - 9*b*c^2*d^2*e^2 + 6*(b^2*c + a*c^2)*d*e^3 - (b^3 + 6*a*b*c)*e^4)*x^2 + 20*(5*c^3*d^4 - 12*b*c^2*d^3*e + 9*(b^2*c + a*c^2)*d^2*e^2 - 2*(b^3 + 6*a*b*c)*d*e^3 + 3*(a*b^2 + a^2*c)*e^4)*x)/e^6 - 3*(2*c^3*d^5 - 5*b*c^2*d^4*e - a^2*b*e^5 + 4*(b^2*c + a*c^2)*d^3*e^2 - (b^3 + 6*a*b*c)*d^2*e^3 + 2*(a*b^2 + a^2*c)*d*e^4)*log(e*x + d)/e^7","A",0
2138,1,417,0,1.214994," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^3,x, algorithm=""maxima"")","\frac{11 \, c^{3} d^{6} - 27 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} - a^{3} e^{6} + 21 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - 5 \, {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 9 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} + 6 \, {\left(2 \, c^{3} d^{5} e - 5 \, b c^{2} d^{4} e^{2} - a^{2} b e^{6} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{3} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{4} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{5}\right)} x}{2 \, {\left(e^{9} x^{2} + 2 \, d e^{8} x + d^{2} e^{7}\right)}} + \frac{c^{3} e^{3} x^{4} - 4 \, {\left(c^{3} d e^{2} - b c^{2} e^{3}\right)} x^{3} + 6 \, {\left(2 \, c^{3} d^{2} e - 3 \, b c^{2} d e^{2} + {\left(b^{2} c + a c^{2}\right)} e^{3}\right)} x^{2} - 4 \, {\left(10 \, c^{3} d^{3} - 18 \, b c^{2} d^{2} e + 9 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} - {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} x}{4 \, e^{6}} + \frac{3 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d e^{3} + {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/2*(11*c^3*d^6 - 27*b*c^2*d^5*e - 3*a^2*b*d*e^5 - a^3*e^6 + 21*(b^2*c + a*c^2)*d^4*e^2 - 5*(b^3 + 6*a*b*c)*d^3*e^3 + 9*(a*b^2 + a^2*c)*d^2*e^4 + 6*(2*c^3*d^5*e - 5*b*c^2*d^4*e^2 - a^2*b*e^6 + 4*(b^2*c + a*c^2)*d^3*e^3 - (b^3 + 6*a*b*c)*d^2*e^4 + 2*(a*b^2 + a^2*c)*d*e^5)*x)/(e^9*x^2 + 2*d*e^8*x + d^2*e^7) + 1/4*(c^3*e^3*x^4 - 4*(c^3*d*e^2 - b*c^2*e^3)*x^3 + 6*(2*c^3*d^2*e - 3*b*c^2*d*e^2 + (b^2*c + a*c^2)*e^3)*x^2 - 4*(10*c^3*d^3 - 18*b*c^2*d^2*e + 9*(b^2*c + a*c^2)*d*e^2 - (b^3 + 6*a*b*c)*e^3)*x)/e^6 + 3*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*(b^2*c + a*c^2)*d^2*e^2 - (b^3 + 6*a*b*c)*d*e^3 + (a*b^2 + a^2*c)*e^4)*log(e*x + d)/e^7","A",0
2139,1,430,0,1.224225," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{74 \, c^{3} d^{6} - 141 \, b c^{2} d^{5} e + 3 \, a^{2} b d e^{5} + 2 \, a^{3} e^{6} + 78 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - 11 \, {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 6 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} + 18 \, {\left(5 \, c^{3} d^{4} e^{2} - 10 \, b c^{2} d^{3} e^{3} + 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{4} - {\left(b^{3} + 6 \, a b c\right)} d e^{5} + {\left(a b^{2} + a^{2} c\right)} e^{6}\right)} x^{2} + 9 \, {\left(18 \, c^{3} d^{5} e - 35 \, b c^{2} d^{4} e^{2} + a^{2} b e^{6} + 20 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{3} - 3 \, {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{4} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{5}\right)} x}{6 \, {\left(e^{10} x^{3} + 3 \, d e^{9} x^{2} + 3 \, d^{2} e^{8} x + d^{3} e^{7}\right)}} + \frac{2 \, c^{3} e^{2} x^{3} - 3 \, {\left(4 \, c^{3} d e - 3 \, b c^{2} e^{2}\right)} x^{2} + 6 \, {\left(10 \, c^{3} d^{2} - 12 \, b c^{2} d e + 3 \, {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} x}{6 \, e^{6}} - \frac{{\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} - {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-1/6*(74*c^3*d^6 - 141*b*c^2*d^5*e + 3*a^2*b*d*e^5 + 2*a^3*e^6 + 78*(b^2*c + a*c^2)*d^4*e^2 - 11*(b^3 + 6*a*b*c)*d^3*e^3 + 6*(a*b^2 + a^2*c)*d^2*e^4 + 18*(5*c^3*d^4*e^2 - 10*b*c^2*d^3*e^3 + 6*(b^2*c + a*c^2)*d^2*e^4 - (b^3 + 6*a*b*c)*d*e^5 + (a*b^2 + a^2*c)*e^6)*x^2 + 9*(18*c^3*d^5*e - 35*b*c^2*d^4*e^2 + a^2*b*e^6 + 20*(b^2*c + a*c^2)*d^3*e^3 - 3*(b^3 + 6*a*b*c)*d^2*e^4 + 2*(a*b^2 + a^2*c)*d*e^5)*x)/(e^10*x^3 + 3*d*e^9*x^2 + 3*d^2*e^8*x + d^3*e^7) + 1/6*(2*c^3*e^2*x^3 - 3*(4*c^3*d*e - 3*b*c^2*e^2)*x^2 + 6*(10*c^3*d^2 - 12*b*c^2*d*e + 3*(b^2*c + a*c^2)*e^2)*x)/e^6 - (20*c^3*d^3 - 30*b*c^2*d^2*e + 12*(b^2*c + a*c^2)*d*e^2 - (b^3 + 6*a*b*c)*e^3)*log(e*x + d)/e^7","A",0
2140,1,441,0,1.204362," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^5,x, algorithm=""maxima"")","\frac{57 \, c^{3} d^{6} - 77 \, b c^{2} d^{5} e - a^{2} b d e^{5} - a^{3} e^{6} + 25 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} - {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} + 4 \, {\left(20 \, c^{3} d^{3} e^{3} - 30 \, b c^{2} d^{2} e^{4} + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{5} - {\left(b^{3} + 6 \, a b c\right)} e^{6}\right)} x^{3} + 6 \, {\left(35 \, c^{3} d^{4} e^{2} - 50 \, b c^{2} d^{3} e^{3} + 18 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{4} - {\left(b^{3} + 6 \, a b c\right)} d e^{5} - {\left(a b^{2} + a^{2} c\right)} e^{6}\right)} x^{2} + 4 \, {\left(47 \, c^{3} d^{5} e - 65 \, b c^{2} d^{4} e^{2} - a^{2} b e^{6} + 22 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{3} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{4} - {\left(a b^{2} + a^{2} c\right)} d e^{5}\right)} x}{4 \, {\left(e^{11} x^{4} + 4 \, d e^{10} x^{3} + 6 \, d^{2} e^{9} x^{2} + 4 \, d^{3} e^{8} x + d^{4} e^{7}\right)}} + \frac{c^{3} e x^{2} - 2 \, {\left(5 \, c^{3} d - 3 \, b c^{2} e\right)} x}{2 \, e^{6}} + \frac{3 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/4*(57*c^3*d^6 - 77*b*c^2*d^5*e - a^2*b*d*e^5 - a^3*e^6 + 25*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 - (a*b^2 + a^2*c)*d^2*e^4 + 4*(20*c^3*d^3*e^3 - 30*b*c^2*d^2*e^4 + 12*(b^2*c + a*c^2)*d*e^5 - (b^3 + 6*a*b*c)*e^6)*x^3 + 6*(35*c^3*d^4*e^2 - 50*b*c^2*d^3*e^3 + 18*(b^2*c + a*c^2)*d^2*e^4 - (b^3 + 6*a*b*c)*d*e^5 - (a*b^2 + a^2*c)*e^6)*x^2 + 4*(47*c^3*d^5*e - 65*b*c^2*d^4*e^2 - a^2*b*e^6 + 22*(b^2*c + a*c^2)*d^3*e^3 - (b^3 + 6*a*b*c)*d^2*e^4 - (a*b^2 + a^2*c)*d*e^5)*x)/(e^11*x^4 + 4*d*e^10*x^3 + 6*d^2*e^9*x^2 + 4*d^3*e^8*x + d^4*e^7) + 1/2*(c^3*e*x^2 - 2*(5*c^3*d - 3*b*c^2*e)*x)/e^6 + 3*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*log(e*x + d)/e^7","A",0
2141,1,449,0,1.252991," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{174 \, c^{3} d^{6} - 137 \, b c^{2} d^{5} e + 3 \, a^{2} b d e^{5} + 4 \, a^{3} e^{6} + 12 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} + {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} + 60 \, {\left(5 \, c^{3} d^{2} e^{4} - 5 \, b c^{2} d e^{5} + {\left(b^{2} c + a c^{2}\right)} e^{6}\right)} x^{4} + 10 \, {\left(100 \, c^{3} d^{3} e^{3} - 90 \, b c^{2} d^{2} e^{4} + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{5} + {\left(b^{3} + 6 \, a b c\right)} e^{6}\right)} x^{3} + 10 \, {\left(130 \, c^{3} d^{4} e^{2} - 110 \, b c^{2} d^{3} e^{3} + 12 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{4} + {\left(b^{3} + 6 \, a b c\right)} d e^{5} + 2 \, {\left(a b^{2} + a^{2} c\right)} e^{6}\right)} x^{2} + 5 \, {\left(154 \, c^{3} d^{5} e - 125 \, b c^{2} d^{4} e^{2} + 3 \, a^{2} b e^{6} + 12 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{3} + {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{4} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{5}\right)} x}{20 \, {\left(e^{12} x^{5} + 5 \, d e^{11} x^{4} + 10 \, d^{2} e^{10} x^{3} + 10 \, d^{3} e^{9} x^{2} + 5 \, d^{4} e^{8} x + d^{5} e^{7}\right)}} + \frac{c^{3} x}{e^{6}} - \frac{3 \, {\left(2 \, c^{3} d - b c^{2} e\right)} \log\left(e x + d\right)}{e^{7}}"," ",0,"-1/20*(174*c^3*d^6 - 137*b*c^2*d^5*e + 3*a^2*b*d*e^5 + 4*a^3*e^6 + 12*(b^2*c + a*c^2)*d^4*e^2 + (b^3 + 6*a*b*c)*d^3*e^3 + 2*(a*b^2 + a^2*c)*d^2*e^4 + 60*(5*c^3*d^2*e^4 - 5*b*c^2*d*e^5 + (b^2*c + a*c^2)*e^6)*x^4 + 10*(100*c^3*d^3*e^3 - 90*b*c^2*d^2*e^4 + 12*(b^2*c + a*c^2)*d*e^5 + (b^3 + 6*a*b*c)*e^6)*x^3 + 10*(130*c^3*d^4*e^2 - 110*b*c^2*d^3*e^3 + 12*(b^2*c + a*c^2)*d^2*e^4 + (b^3 + 6*a*b*c)*d*e^5 + 2*(a*b^2 + a^2*c)*e^6)*x^2 + 5*(154*c^3*d^5*e - 125*b*c^2*d^4*e^2 + 3*a^2*b*e^6 + 12*(b^2*c + a*c^2)*d^3*e^3 + (b^3 + 6*a*b*c)*d^2*e^4 + 2*(a*b^2 + a^2*c)*d*e^5)*x)/(e^12*x^5 + 5*d*e^11*x^4 + 10*d^2*e^10*x^3 + 10*d^3*e^9*x^2 + 5*d^4*e^8*x + d^5*e^7) + c^3*x/e^6 - 3*(2*c^3*d - b*c^2*e)*log(e*x + d)/e^7","A",0
2142,1,469,0,1.259218," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^7,x, algorithm=""maxima"")","\frac{147 \, c^{3} d^{6} - 30 \, b c^{2} d^{5} e - 6 \, a^{2} b d e^{5} - 10 \, a^{3} e^{6} - 6 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} - 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} + 180 \, {\left(2 \, c^{3} d e^{5} - b c^{2} e^{6}\right)} x^{5} + 90 \, {\left(15 \, c^{3} d^{2} e^{4} - 5 \, b c^{2} d e^{5} - {\left(b^{2} c + a c^{2}\right)} e^{6}\right)} x^{4} + 20 \, {\left(110 \, c^{3} d^{3} e^{3} - 30 \, b c^{2} d^{2} e^{4} - 6 \, {\left(b^{2} c + a c^{2}\right)} d e^{5} - {\left(b^{3} + 6 \, a b c\right)} e^{6}\right)} x^{3} + 15 \, {\left(125 \, c^{3} d^{4} e^{2} - 30 \, b c^{2} d^{3} e^{3} - 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{4} - {\left(b^{3} + 6 \, a b c\right)} d e^{5} - 3 \, {\left(a b^{2} + a^{2} c\right)} e^{6}\right)} x^{2} + 6 \, {\left(137 \, c^{3} d^{5} e - 30 \, b c^{2} d^{4} e^{2} - 6 \, a^{2} b e^{6} - 6 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{3} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{4} - 3 \, {\left(a b^{2} + a^{2} c\right)} d e^{5}\right)} x}{60 \, {\left(e^{13} x^{6} + 6 \, d e^{12} x^{5} + 15 \, d^{2} e^{11} x^{4} + 20 \, d^{3} e^{10} x^{3} + 15 \, d^{4} e^{9} x^{2} + 6 \, d^{5} e^{8} x + d^{6} e^{7}\right)}} + \frac{c^{3} \log\left(e x + d\right)}{e^{7}}"," ",0,"1/60*(147*c^3*d^6 - 30*b*c^2*d^5*e - 6*a^2*b*d*e^5 - 10*a^3*e^6 - 6*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 - 3*(a*b^2 + a^2*c)*d^2*e^4 + 180*(2*c^3*d*e^5 - b*c^2*e^6)*x^5 + 90*(15*c^3*d^2*e^4 - 5*b*c^2*d*e^5 - (b^2*c + a*c^2)*e^6)*x^4 + 20*(110*c^3*d^3*e^3 - 30*b*c^2*d^2*e^4 - 6*(b^2*c + a*c^2)*d*e^5 - (b^3 + 6*a*b*c)*e^6)*x^3 + 15*(125*c^3*d^4*e^2 - 30*b*c^2*d^3*e^3 - 6*(b^2*c + a*c^2)*d^2*e^4 - (b^3 + 6*a*b*c)*d*e^5 - 3*(a*b^2 + a^2*c)*e^6)*x^2 + 6*(137*c^3*d^5*e - 30*b*c^2*d^4*e^2 - 6*a^2*b*e^6 - 6*(b^2*c + a*c^2)*d^3*e^3 - (b^3 + 6*a*b*c)*d^2*e^4 - 3*(a*b^2 + a^2*c)*d*e^5)*x)/(e^13*x^6 + 6*d*e^12*x^5 + 15*d^2*e^11*x^4 + 20*d^3*e^10*x^3 + 15*d^4*e^9*x^2 + 6*d^5*e^8*x + d^6*e^7) + c^3*log(e*x + d)/e^7","A",0
2143,1,472,0,1.201461," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{140 \, c^{3} e^{6} x^{6} + 20 \, c^{3} d^{6} + 10 \, b c^{2} d^{5} e + 10 \, a^{2} b d e^{5} + 20 \, a^{3} e^{6} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} + {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 4 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} + 210 \, {\left(2 \, c^{3} d e^{5} + b c^{2} e^{6}\right)} x^{5} + 70 \, {\left(10 \, c^{3} d^{2} e^{4} + 5 \, b c^{2} d e^{5} + 2 \, {\left(b^{2} c + a c^{2}\right)} e^{6}\right)} x^{4} + 35 \, {\left(20 \, c^{3} d^{3} e^{3} + 10 \, b c^{2} d^{2} e^{4} + 4 \, {\left(b^{2} c + a c^{2}\right)} d e^{5} + {\left(b^{3} + 6 \, a b c\right)} e^{6}\right)} x^{3} + 21 \, {\left(20 \, c^{3} d^{4} e^{2} + 10 \, b c^{2} d^{3} e^{3} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{4} + {\left(b^{3} + 6 \, a b c\right)} d e^{5} + 4 \, {\left(a b^{2} + a^{2} c\right)} e^{6}\right)} x^{2} + 7 \, {\left(20 \, c^{3} d^{5} e + 10 \, b c^{2} d^{4} e^{2} + 10 \, a^{2} b e^{6} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{3} + {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{4} + 4 \, {\left(a b^{2} + a^{2} c\right)} d e^{5}\right)} x}{140 \, {\left(e^{14} x^{7} + 7 \, d e^{13} x^{6} + 21 \, d^{2} e^{12} x^{5} + 35 \, d^{3} e^{11} x^{4} + 35 \, d^{4} e^{10} x^{3} + 21 \, d^{5} e^{9} x^{2} + 7 \, d^{6} e^{8} x + d^{7} e^{7}\right)}}"," ",0,"-1/140*(140*c^3*e^6*x^6 + 20*c^3*d^6 + 10*b*c^2*d^5*e + 10*a^2*b*d*e^5 + 20*a^3*e^6 + 4*(b^2*c + a*c^2)*d^4*e^2 + (b^3 + 6*a*b*c)*d^3*e^3 + 4*(a*b^2 + a^2*c)*d^2*e^4 + 210*(2*c^3*d*e^5 + b*c^2*e^6)*x^5 + 70*(10*c^3*d^2*e^4 + 5*b*c^2*d*e^5 + 2*(b^2*c + a*c^2)*e^6)*x^4 + 35*(20*c^3*d^3*e^3 + 10*b*c^2*d^2*e^4 + 4*(b^2*c + a*c^2)*d*e^5 + (b^3 + 6*a*b*c)*e^6)*x^3 + 21*(20*c^3*d^4*e^2 + 10*b*c^2*d^3*e^3 + 4*(b^2*c + a*c^2)*d^2*e^4 + (b^3 + 6*a*b*c)*d*e^5 + 4*(a*b^2 + a^2*c)*e^6)*x^2 + 7*(20*c^3*d^5*e + 10*b*c^2*d^4*e^2 + 10*a^2*b*e^6 + 4*(b^2*c + a*c^2)*d^3*e^3 + (b^3 + 6*a*b*c)*d^2*e^4 + 4*(a*b^2 + a^2*c)*d*e^5)*x)/(e^14*x^7 + 7*d*e^13*x^6 + 21*d^2*e^12*x^5 + 35*d^3*e^11*x^4 + 35*d^4*e^10*x^3 + 21*d^5*e^9*x^2 + 7*d^6*e^8*x + d^7*e^7)","A",0
2144,1,482,0,1.322163," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{140 \, c^{3} e^{6} x^{6} + 5 \, c^{3} d^{6} + 5 \, b c^{2} d^{5} e + 15 \, a^{2} b d e^{5} + 35 \, a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} + {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 5 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} + 280 \, {\left(c^{3} d e^{5} + b c^{2} e^{6}\right)} x^{5} + 70 \, {\left(5 \, c^{3} d^{2} e^{4} + 5 \, b c^{2} d e^{5} + 3 \, {\left(b^{2} c + a c^{2}\right)} e^{6}\right)} x^{4} + 56 \, {\left(5 \, c^{3} d^{3} e^{3} + 5 \, b c^{2} d^{2} e^{4} + 3 \, {\left(b^{2} c + a c^{2}\right)} d e^{5} + {\left(b^{3} + 6 \, a b c\right)} e^{6}\right)} x^{3} + 28 \, {\left(5 \, c^{3} d^{4} e^{2} + 5 \, b c^{2} d^{3} e^{3} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{4} + {\left(b^{3} + 6 \, a b c\right)} d e^{5} + 5 \, {\left(a b^{2} + a^{2} c\right)} e^{6}\right)} x^{2} + 8 \, {\left(5 \, c^{3} d^{5} e + 5 \, b c^{2} d^{4} e^{2} + 15 \, a^{2} b e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{3} + {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{4} + 5 \, {\left(a b^{2} + a^{2} c\right)} d e^{5}\right)} x}{280 \, {\left(e^{15} x^{8} + 8 \, d e^{14} x^{7} + 28 \, d^{2} e^{13} x^{6} + 56 \, d^{3} e^{12} x^{5} + 70 \, d^{4} e^{11} x^{4} + 56 \, d^{5} e^{10} x^{3} + 28 \, d^{6} e^{9} x^{2} + 8 \, d^{7} e^{8} x + d^{8} e^{7}\right)}}"," ",0,"-1/280*(140*c^3*e^6*x^6 + 5*c^3*d^6 + 5*b*c^2*d^5*e + 15*a^2*b*d*e^5 + 35*a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 + (b^3 + 6*a*b*c)*d^3*e^3 + 5*(a*b^2 + a^2*c)*d^2*e^4 + 280*(c^3*d*e^5 + b*c^2*e^6)*x^5 + 70*(5*c^3*d^2*e^4 + 5*b*c^2*d*e^5 + 3*(b^2*c + a*c^2)*e^6)*x^4 + 56*(5*c^3*d^3*e^3 + 5*b*c^2*d^2*e^4 + 3*(b^2*c + a*c^2)*d*e^5 + (b^3 + 6*a*b*c)*e^6)*x^3 + 28*(5*c^3*d^4*e^2 + 5*b*c^2*d^3*e^3 + 3*(b^2*c + a*c^2)*d^2*e^4 + (b^3 + 6*a*b*c)*d*e^5 + 5*(a*b^2 + a^2*c)*e^6)*x^2 + 8*(5*c^3*d^5*e + 5*b*c^2*d^4*e^2 + 15*a^2*b*e^6 + 3*(b^2*c + a*c^2)*d^3*e^3 + (b^3 + 6*a*b*c)*d^2*e^4 + 5*(a*b^2 + a^2*c)*d*e^5)*x)/(e^15*x^8 + 8*d*e^14*x^7 + 28*d^2*e^13*x^6 + 56*d^3*e^12*x^5 + 70*d^4*e^11*x^4 + 56*d^5*e^10*x^3 + 28*d^6*e^9*x^2 + 8*d^7*e^8*x + d^8*e^7)","A",0
2145,1,499,0,1.321076," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{840 \, c^{3} e^{6} x^{6} + 10 \, c^{3} d^{6} + 15 \, b c^{2} d^{5} e + 105 \, a^{2} b d e^{5} + 280 \, a^{3} e^{6} + 12 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} + 5 \, {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 30 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} + 630 \, {\left(2 \, c^{3} d e^{5} + 3 \, b c^{2} e^{6}\right)} x^{5} + 126 \, {\left(10 \, c^{3} d^{2} e^{4} + 15 \, b c^{2} d e^{5} + 12 \, {\left(b^{2} c + a c^{2}\right)} e^{6}\right)} x^{4} + 84 \, {\left(10 \, c^{3} d^{3} e^{3} + 15 \, b c^{2} d^{2} e^{4} + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{5} + 5 \, {\left(b^{3} + 6 \, a b c\right)} e^{6}\right)} x^{3} + 36 \, {\left(10 \, c^{3} d^{4} e^{2} + 15 \, b c^{2} d^{3} e^{3} + 12 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{4} + 5 \, {\left(b^{3} + 6 \, a b c\right)} d e^{5} + 30 \, {\left(a b^{2} + a^{2} c\right)} e^{6}\right)} x^{2} + 9 \, {\left(10 \, c^{3} d^{5} e + 15 \, b c^{2} d^{4} e^{2} + 105 \, a^{2} b e^{6} + 12 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{3} + 5 \, {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{4} + 30 \, {\left(a b^{2} + a^{2} c\right)} d e^{5}\right)} x}{2520 \, {\left(e^{16} x^{9} + 9 \, d e^{15} x^{8} + 36 \, d^{2} e^{14} x^{7} + 84 \, d^{3} e^{13} x^{6} + 126 \, d^{4} e^{12} x^{5} + 126 \, d^{5} e^{11} x^{4} + 84 \, d^{6} e^{10} x^{3} + 36 \, d^{7} e^{9} x^{2} + 9 \, d^{8} e^{8} x + d^{9} e^{7}\right)}}"," ",0,"-1/2520*(840*c^3*e^6*x^6 + 10*c^3*d^6 + 15*b*c^2*d^5*e + 105*a^2*b*d*e^5 + 280*a^3*e^6 + 12*(b^2*c + a*c^2)*d^4*e^2 + 5*(b^3 + 6*a*b*c)*d^3*e^3 + 30*(a*b^2 + a^2*c)*d^2*e^4 + 630*(2*c^3*d*e^5 + 3*b*c^2*e^6)*x^5 + 126*(10*c^3*d^2*e^4 + 15*b*c^2*d*e^5 + 12*(b^2*c + a*c^2)*e^6)*x^4 + 84*(10*c^3*d^3*e^3 + 15*b*c^2*d^2*e^4 + 12*(b^2*c + a*c^2)*d*e^5 + 5*(b^3 + 6*a*b*c)*e^6)*x^3 + 36*(10*c^3*d^4*e^2 + 15*b*c^2*d^3*e^3 + 12*(b^2*c + a*c^2)*d^2*e^4 + 5*(b^3 + 6*a*b*c)*d*e^5 + 30*(a*b^2 + a^2*c)*e^6)*x^2 + 9*(10*c^3*d^5*e + 15*b*c^2*d^4*e^2 + 105*a^2*b*e^6 + 12*(b^2*c + a*c^2)*d^3*e^3 + 5*(b^3 + 6*a*b*c)*d^2*e^4 + 30*(a*b^2 + a^2*c)*d*e^5)*x)/(e^16*x^9 + 9*d*e^15*x^8 + 36*d^2*e^14*x^7 + 84*d^3*e^13*x^6 + 126*d^4*e^12*x^5 + 126*d^5*e^11*x^4 + 84*d^6*e^10*x^3 + 36*d^7*e^9*x^2 + 9*d^8*e^8*x + d^9*e^7)","A",0
2146,1,762,0,1.248810," ","integrate((e*x+d)^4*(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\frac{1}{13} \, c^{4} e^{4} x^{13} + \frac{1}{3} \, {\left(c^{4} d e^{3} + b c^{3} e^{4}\right)} x^{12} + \frac{2}{11} \, {\left(3 \, c^{4} d^{2} e^{2} + 8 \, b c^{3} d e^{3} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{4}\right)} x^{11} + \frac{2}{5} \, {\left(c^{4} d^{3} e + 6 \, b c^{3} d^{2} e^{2} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{3} + {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{4}\right)} x^{10} + \frac{1}{9} \, {\left(c^{4} d^{4} + 16 \, b c^{3} d^{3} e + 12 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{2} + 16 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{4}\right)} x^{9} + a^{4} d^{4} x + \frac{1}{2} \, {\left(b c^{3} d^{4} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e + 6 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{2} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{3} + {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{4}\right)} x^{8} + \frac{2}{7} \, {\left({\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} + 8 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{2} + 8 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{3} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{4}\right)} x^{7} + \frac{2}{3} \, {\left(a^{3} b e^{4} + {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e + 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{2} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(16 \, a^{3} b d e^{3} + a^{4} e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} + 16 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e + 12 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{2}\right)} x^{5} + {\left(6 \, a^{3} b d^{2} e^{2} + a^{4} d e^{3} + {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{4} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{3} e\right)} x^{4} + \frac{2}{3} \, {\left(8 \, a^{3} b d^{3} e + 3 \, a^{4} d^{2} e^{2} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{4}\right)} x^{3} + 2 \, {\left(a^{3} b d^{4} + a^{4} d^{3} e\right)} x^{2}"," ",0,"1/13*c^4*e^4*x^13 + 1/3*(c^4*d*e^3 + b*c^3*e^4)*x^12 + 2/11*(3*c^4*d^2*e^2 + 8*b*c^3*d*e^3 + (3*b^2*c^2 + 2*a*c^3)*e^4)*x^11 + 2/5*(c^4*d^3*e + 6*b*c^3*d^2*e^2 + 2*(3*b^2*c^2 + 2*a*c^3)*d*e^3 + (b^3*c + 3*a*b*c^2)*e^4)*x^10 + 1/9*(c^4*d^4 + 16*b*c^3*d^3*e + 12*(3*b^2*c^2 + 2*a*c^3)*d^2*e^2 + 16*(b^3*c + 3*a*b*c^2)*d*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^4)*x^9 + a^4*d^4*x + 1/2*(b*c^3*d^4 + 2*(3*b^2*c^2 + 2*a*c^3)*d^3*e + 6*(b^3*c + 3*a*b*c^2)*d^2*e^2 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^3 + (a*b^3 + 3*a^2*b*c)*e^4)*x^8 + 2/7*((3*b^2*c^2 + 2*a*c^3)*d^4 + 8*(b^3*c + 3*a*b*c^2)*d^3*e + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^2 + 8*(a*b^3 + 3*a^2*b*c)*d*e^3 + (3*a^2*b^2 + 2*a^3*c)*e^4)*x^7 + 2/3*(a^3*b*e^4 + (b^3*c + 3*a*b*c^2)*d^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e + 6*(a*b^3 + 3*a^2*b*c)*d^2*e^2 + 2*(3*a^2*b^2 + 2*a^3*c)*d*e^3)*x^6 + 1/5*(16*a^3*b*d*e^3 + a^4*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4 + 16*(a*b^3 + 3*a^2*b*c)*d^3*e + 12*(3*a^2*b^2 + 2*a^3*c)*d^2*e^2)*x^5 + (6*a^3*b*d^2*e^2 + a^4*d*e^3 + (a*b^3 + 3*a^2*b*c)*d^4 + 2*(3*a^2*b^2 + 2*a^3*c)*d^3*e)*x^4 + 2/3*(8*a^3*b*d^3*e + 3*a^4*d^2*e^2 + (3*a^2*b^2 + 2*a^3*c)*d^4)*x^3 + 2*(a^3*b*d^4 + a^4*d^3*e)*x^2","A",0
2147,1,614,0,1.144757," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\frac{1}{12} \, c^{4} e^{3} x^{12} + \frac{1}{11} \, {\left(3 \, c^{4} d e^{2} + 4 \, b c^{3} e^{3}\right)} x^{11} + \frac{1}{10} \, {\left(3 \, c^{4} d^{2} e + 12 \, b c^{3} d e^{2} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{3}\right)} x^{10} + \frac{1}{9} \, {\left(c^{4} d^{3} + 12 \, b c^{3} d^{2} e + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{2} + 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{3}\right)} x^{9} + \frac{1}{8} \, {\left(4 \, b c^{3} d^{3} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e + 12 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{2} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{3}\right)} x^{8} + a^{4} d^{3} x + \frac{1}{7} \, {\left(2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} + 12 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{2} + 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{3}\right)} x^{7} + \frac{1}{6} \, {\left(4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e + 12 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{2} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(4 \, a^{3} b e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} + 12 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e + 6 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(12 \, a^{3} b d e^{2} + a^{4} e^{3} + 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} + 6 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e\right)} x^{4} + \frac{1}{3} \, {\left(12 \, a^{3} b d^{2} e + 3 \, a^{4} d e^{2} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{3}\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b d^{3} + 3 \, a^{4} d^{2} e\right)} x^{2}"," ",0,"1/12*c^4*e^3*x^12 + 1/11*(3*c^4*d*e^2 + 4*b*c^3*e^3)*x^11 + 1/10*(3*c^4*d^2*e + 12*b*c^3*d*e^2 + 2*(3*b^2*c^2 + 2*a*c^3)*e^3)*x^10 + 1/9*(c^4*d^3 + 12*b*c^3*d^2*e + 6*(3*b^2*c^2 + 2*a*c^3)*d*e^2 + 4*(b^3*c + 3*a*b*c^2)*e^3)*x^9 + 1/8*(4*b*c^3*d^3 + 6*(3*b^2*c^2 + 2*a*c^3)*d^2*e + 12*(b^3*c + 3*a*b*c^2)*d*e^2 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^3)*x^8 + a^4*d^3*x + 1/7*(2*(3*b^2*c^2 + 2*a*c^3)*d^3 + 12*(b^3*c + 3*a*b*c^2)*d^2*e + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^2 + 4*(a*b^3 + 3*a^2*b*c)*e^3)*x^7 + 1/6*(4*(b^3*c + 3*a*b*c^2)*d^3 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e + 12*(a*b^3 + 3*a^2*b*c)*d*e^2 + 2*(3*a^2*b^2 + 2*a^3*c)*e^3)*x^6 + 1/5*(4*a^3*b*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3 + 12*(a*b^3 + 3*a^2*b*c)*d^2*e + 6*(3*a^2*b^2 + 2*a^3*c)*d*e^2)*x^5 + 1/4*(12*a^3*b*d*e^2 + a^4*e^3 + 4*(a*b^3 + 3*a^2*b*c)*d^3 + 6*(3*a^2*b^2 + 2*a^3*c)*d^2*e)*x^4 + 1/3*(12*a^3*b*d^2*e + 3*a^4*d*e^2 + 2*(3*a^2*b^2 + 2*a^3*c)*d^3)*x^3 + 1/2*(4*a^3*b*d^3 + 3*a^4*d^2*e)*x^2","A",0
2148,1,436,0,1.088323," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\frac{1}{11} \, c^{4} e^{2} x^{11} + \frac{1}{5} \, {\left(c^{4} d e + 2 \, b c^{3} e^{2}\right)} x^{10} + \frac{1}{9} \, {\left(c^{4} d^{2} + 8 \, b c^{3} d e + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{2}\right)} x^{9} + \frac{1}{2} \, {\left(b c^{3} d^{2} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e + {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{2}\right)} x^{8} + \frac{1}{7} \, {\left(2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} + 8 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{2}\right)} x^{7} + a^{4} d^{2} x + \frac{1}{3} \, {\left(2 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e + 2 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{2}\right)} x^{6} + \frac{1}{5} \, {\left({\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} + 8 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{2}\right)} x^{5} + {\left(a^{3} b e^{2} + {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e\right)} x^{4} + \frac{1}{3} \, {\left(8 \, a^{3} b d e + a^{4} e^{2} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2}\right)} x^{3} + {\left(2 \, a^{3} b d^{2} + a^{4} d e\right)} x^{2}"," ",0,"1/11*c^4*e^2*x^11 + 1/5*(c^4*d*e + 2*b*c^3*e^2)*x^10 + 1/9*(c^4*d^2 + 8*b*c^3*d*e + 2*(3*b^2*c^2 + 2*a*c^3)*e^2)*x^9 + 1/2*(b*c^3*d^2 + (3*b^2*c^2 + 2*a*c^3)*d*e + (b^3*c + 3*a*b*c^2)*e^2)*x^8 + 1/7*(2*(3*b^2*c^2 + 2*a*c^3)*d^2 + 8*(b^3*c + 3*a*b*c^2)*d*e + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^2)*x^7 + a^4*d^2*x + 1/3*(2*(b^3*c + 3*a*b*c^2)*d^2 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e + 2*(a*b^3 + 3*a^2*b*c)*e^2)*x^6 + 1/5*((b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2 + 8*(a*b^3 + 3*a^2*b*c)*d*e + 2*(3*a^2*b^2 + 2*a^3*c)*e^2)*x^5 + (a^3*b*e^2 + (a*b^3 + 3*a^2*b*c)*d^2 + (3*a^2*b^2 + 2*a^3*c)*d*e)*x^4 + 1/3*(8*a^3*b*d*e + a^4*e^2 + 2*(3*a^2*b^2 + 2*a^3*c)*d^2)*x^3 + (2*a^3*b*d^2 + a^4*d*e)*x^2","A",0
2149,1,276,0,1.115674," ","integrate((e*x+d)*(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\frac{1}{10} \, c^{4} e x^{10} + \frac{1}{9} \, {\left(c^{4} d + 4 \, b c^{3} e\right)} x^{9} + \frac{1}{4} \, {\left(2 \, b c^{3} d + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e\right)} x^{8} + \frac{2}{7} \, {\left({\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d + 2 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e\right)} x^{7} + \frac{1}{6} \, {\left(4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e\right)} x^{6} + a^{4} d x + \frac{1}{5} \, {\left({\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d + 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e\right)} x^{5} + \frac{1}{2} \, {\left(2 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e\right)} x^{4} + \frac{2}{3} \, {\left(2 \, a^{3} b e + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b d + a^{4} e\right)} x^{2}"," ",0,"1/10*c^4*e*x^10 + 1/9*(c^4*d + 4*b*c^3*e)*x^9 + 1/4*(2*b*c^3*d + (3*b^2*c^2 + 2*a*c^3)*e)*x^8 + 2/7*((3*b^2*c^2 + 2*a*c^3)*d + 2*(b^3*c + 3*a*b*c^2)*e)*x^7 + 1/6*(4*(b^3*c + 3*a*b*c^2)*d + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e)*x^6 + a^4*d*x + 1/5*((b^4 + 12*a*b^2*c + 6*a^2*c^2)*d + 4*(a*b^3 + 3*a^2*b*c)*e)*x^5 + 1/2*(2*(a*b^3 + 3*a^2*b*c)*d + (3*a^2*b^2 + 2*a^3*c)*e)*x^4 + 2/3*(2*a^3*b*e + (3*a^2*b^2 + 2*a^3*c)*d)*x^3 + 1/2*(4*a^3*b*d + a^4*e)*x^2","A",0
2150,1,136,0,1.046540," ","integrate((c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\frac{1}{9} \, c^{4} x^{9} + \frac{1}{2} \, b c^{3} x^{8} + \frac{6}{7} \, b^{2} c^{2} x^{7} + \frac{2}{3} \, b^{3} c x^{6} + \frac{1}{5} \, b^{4} x^{5} + a^{4} x + \frac{2}{3} \, {\left(2 \, c x^{3} + 3 \, b x^{2}\right)} a^{3} + \frac{1}{5} \, {\left(6 \, c^{2} x^{5} + 15 \, b c x^{4} + 10 \, b^{2} x^{3}\right)} a^{2} + \frac{1}{35} \, {\left(20 \, c^{3} x^{7} + 70 \, b c^{2} x^{6} + 84 \, b^{2} c x^{5} + 35 \, b^{3} x^{4}\right)} a"," ",0,"1/9*c^4*x^9 + 1/2*b*c^3*x^8 + 6/7*b^2*c^2*x^7 + 2/3*b^3*c*x^6 + 1/5*b^4*x^5 + a^4*x + 2/3*(2*c*x^3 + 3*b*x^2)*a^3 + 1/5*(6*c^2*x^5 + 15*b*c*x^4 + 10*b^2*x^3)*a^2 + 1/35*(20*c^3*x^7 + 70*b*c^2*x^6 + 84*b^2*c*x^5 + 35*b^3*x^4)*a","A",0
2151,1,797,0,1.125380," ","integrate((c*x^2+b*x+a)^4/(e*x+d),x, algorithm=""maxima"")","\frac{105 \, c^{4} e^{7} x^{8} - 120 \, {\left(c^{4} d e^{6} - 4 \, b c^{3} e^{7}\right)} x^{7} + 140 \, {\left(c^{4} d^{2} e^{5} - 4 \, b c^{3} d e^{6} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{7}\right)} x^{6} - 168 \, {\left(c^{4} d^{3} e^{4} - 4 \, b c^{3} d^{2} e^{5} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{6} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{7}\right)} x^{5} + 210 \, {\left(c^{4} d^{4} e^{3} - 4 \, b c^{3} d^{3} e^{4} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{5} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{6} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{7}\right)} x^{4} - 280 \, {\left(c^{4} d^{5} e^{2} - 4 \, b c^{3} d^{4} e^{3} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{4} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{5} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{6} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{7}\right)} x^{3} + 420 \, {\left(c^{4} d^{6} e - 4 \, b c^{3} d^{5} e^{2} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{3} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{5} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{6} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{7}\right)} x^{2} - 840 \, {\left(c^{4} d^{7} - 4 \, b c^{3} d^{6} e - 4 \, a^{3} b e^{7} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{2} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{4} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{5} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{6}\right)} x}{840 \, e^{8}} + \frac{{\left(c^{4} d^{8} - 4 \, b c^{3} d^{7} e - 4 \, a^{3} b d e^{7} + a^{4} e^{8} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6}\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"1/840*(105*c^4*e^7*x^8 - 120*(c^4*d*e^6 - 4*b*c^3*e^7)*x^7 + 140*(c^4*d^2*e^5 - 4*b*c^3*d*e^6 + 2*(3*b^2*c^2 + 2*a*c^3)*e^7)*x^6 - 168*(c^4*d^3*e^4 - 4*b*c^3*d^2*e^5 + 2*(3*b^2*c^2 + 2*a*c^3)*d*e^6 - 4*(b^3*c + 3*a*b*c^2)*e^7)*x^5 + 210*(c^4*d^4*e^3 - 4*b*c^3*d^3*e^4 + 2*(3*b^2*c^2 + 2*a*c^3)*d^2*e^5 - 4*(b^3*c + 3*a*b*c^2)*d*e^6 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^7)*x^4 - 280*(c^4*d^5*e^2 - 4*b*c^3*d^4*e^3 + 2*(3*b^2*c^2 + 2*a*c^3)*d^3*e^4 - 4*(b^3*c + 3*a*b*c^2)*d^2*e^5 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^6 - 4*(a*b^3 + 3*a^2*b*c)*e^7)*x^3 + 420*(c^4*d^6*e - 4*b*c^3*d^5*e^2 + 2*(3*b^2*c^2 + 2*a*c^3)*d^4*e^3 - 4*(b^3*c + 3*a*b*c^2)*d^3*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^5 - 4*(a*b^3 + 3*a^2*b*c)*d*e^6 + 2*(3*a^2*b^2 + 2*a^3*c)*e^7)*x^2 - 840*(c^4*d^7 - 4*b*c^3*d^6*e - 4*a^3*b*e^7 + 2*(3*b^2*c^2 + 2*a*c^3)*d^5*e^2 - 4*(b^3*c + 3*a*b*c^2)*d^4*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^4 - 4*(a*b^3 + 3*a^2*b*c)*d^2*e^5 + 2*(3*a^2*b^2 + 2*a^3*c)*d*e^6)*x)/e^8 + (c^4*d^8 - 4*b*c^3*d^7*e - 4*a^3*b*d*e^7 + a^4*e^8 + 2*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 4*(b^3*c + 3*a*b*c^2)*d^5*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 - 4*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 2*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6)*log(e*x + d)/e^9","A",0
2152,1,807,0,1.115878," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{c^{4} d^{8} - 4 \, b c^{3} d^{7} e - 4 \, a^{3} b d e^{7} + a^{4} e^{8} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6}}{e^{10} x + d e^{9}} + \frac{15 \, c^{4} e^{6} x^{7} - 35 \, {\left(c^{4} d e^{5} - 2 \, b c^{3} e^{6}\right)} x^{6} + 21 \, {\left(3 \, c^{4} d^{2} e^{4} - 8 \, b c^{3} d e^{5} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{6}\right)} x^{5} - 105 \, {\left(c^{4} d^{3} e^{3} - 3 \, b c^{3} d^{2} e^{4} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{5} - {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{6}\right)} x^{4} + 35 \, {\left(5 \, c^{4} d^{4} e^{2} - 16 \, b c^{3} d^{3} e^{3} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{4} - 8 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{5} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{6}\right)} x^{3} - 105 \, {\left(3 \, c^{4} d^{5} e - 10 \, b c^{3} d^{4} e^{2} + 4 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{3} - 6 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{5} - 2 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{6}\right)} x^{2} + 105 \, {\left(7 \, c^{4} d^{6} - 24 \, b c^{3} d^{5} e + 10 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{2} - 16 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{3} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{4} - 8 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{5} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{6}\right)} x}{105 \, e^{8}} - \frac{4 \, {\left(2 \, c^{4} d^{7} - 7 \, b c^{3} d^{6} e - a^{3} b e^{7} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{2} - 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{4} - 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{5} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{6}\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"-(c^4*d^8 - 4*b*c^3*d^7*e - 4*a^3*b*d*e^7 + a^4*e^8 + 2*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 4*(b^3*c + 3*a*b*c^2)*d^5*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 - 4*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 2*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6)/(e^10*x + d*e^9) + 1/105*(15*c^4*e^6*x^7 - 35*(c^4*d*e^5 - 2*b*c^3*e^6)*x^6 + 21*(3*c^4*d^2*e^4 - 8*b*c^3*d*e^5 + 2*(3*b^2*c^2 + 2*a*c^3)*e^6)*x^5 - 105*(c^4*d^3*e^3 - 3*b*c^3*d^2*e^4 + (3*b^2*c^2 + 2*a*c^3)*d*e^5 - (b^3*c + 3*a*b*c^2)*e^6)*x^4 + 35*(5*c^4*d^4*e^2 - 16*b*c^3*d^3*e^3 + 6*(3*b^2*c^2 + 2*a*c^3)*d^2*e^4 - 8*(b^3*c + 3*a*b*c^2)*d*e^5 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^6)*x^3 - 105*(3*c^4*d^5*e - 10*b*c^3*d^4*e^2 + 4*(3*b^2*c^2 + 2*a*c^3)*d^3*e^3 - 6*(b^3*c + 3*a*b*c^2)*d^2*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^5 - 2*(a*b^3 + 3*a^2*b*c)*e^6)*x^2 + 105*(7*c^4*d^6 - 24*b*c^3*d^5*e + 10*(3*b^2*c^2 + 2*a*c^3)*d^4*e^2 - 16*(b^3*c + 3*a*b*c^2)*d^3*e^3 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^4 - 8*(a*b^3 + 3*a^2*b*c)*d*e^5 + 2*(3*a^2*b^2 + 2*a^3*c)*e^6)*x)/e^8 - 4*(2*c^4*d^7 - 7*b*c^3*d^6*e - a^3*b*e^7 + 3*(3*b^2*c^2 + 2*a*c^3)*d^5*e^2 - 5*(b^3*c + 3*a*b*c^2)*d^4*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^4 - 3*(a*b^3 + 3*a^2*b*c)*d^2*e^5 + (3*a^2*b^2 + 2*a^3*c)*d*e^6)*log(e*x + d)/e^9","A",0
2153,1,819,0,1.393995," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^3,x, algorithm=""maxima"")","\frac{15 \, c^{4} d^{8} - 52 \, b c^{3} d^{7} e - 4 \, a^{3} b d e^{7} - a^{4} e^{8} + 22 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 36 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + 7 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} - 20 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 6 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 8 \, {\left(2 \, c^{4} d^{7} e - 7 \, b c^{3} d^{6} e^{2} - a^{3} b e^{8} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} - 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} - 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{2 \, {\left(e^{11} x^{2} + 2 \, d e^{10} x + d^{2} e^{9}\right)}} + \frac{5 \, c^{4} e^{5} x^{6} - 6 \, {\left(3 \, c^{4} d e^{4} - 4 \, b c^{3} e^{5}\right)} x^{5} + 15 \, {\left(3 \, c^{4} d^{2} e^{3} - 6 \, b c^{3} d e^{4} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{5}\right)} x^{4} - 20 \, {\left(5 \, c^{4} d^{3} e^{2} - 12 \, b c^{3} d^{2} e^{3} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{4} - 2 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{5}\right)} x^{3} + 15 \, {\left(15 \, c^{4} d^{4} e - 40 \, b c^{3} d^{3} e^{2} + 12 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{3} - 12 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{5}\right)} x^{2} - 30 \, {\left(21 \, c^{4} d^{5} - 60 \, b c^{3} d^{4} e + 20 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{2} - 24 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{3} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{4} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{5}\right)} x}{30 \, e^{8}} + \frac{2 \, {\left(14 \, c^{4} d^{6} - 42 \, b c^{3} d^{5} e + 15 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{2} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{3} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{4} - 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{5} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{6}\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"1/2*(15*c^4*d^8 - 52*b*c^3*d^7*e - 4*a^3*b*d*e^7 - a^4*e^8 + 22*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 36*(b^3*c + 3*a*b*c^2)*d^5*e^3 + 7*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 - 20*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 6*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 8*(2*c^4*d^7*e - 7*b*c^3*d^6*e^2 - a^3*b*e^8 + 3*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 - 5*(b^3*c + 3*a*b*c^2)*d^4*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 - 3*(a*b^3 + 3*a^2*b*c)*d^2*e^6 + (3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^11*x^2 + 2*d*e^10*x + d^2*e^9) + 1/30*(5*c^4*e^5*x^6 - 6*(3*c^4*d*e^4 - 4*b*c^3*e^5)*x^5 + 15*(3*c^4*d^2*e^3 - 6*b*c^3*d*e^4 + (3*b^2*c^2 + 2*a*c^3)*e^5)*x^4 - 20*(5*c^4*d^3*e^2 - 12*b*c^3*d^2*e^3 + 3*(3*b^2*c^2 + 2*a*c^3)*d*e^4 - 2*(b^3*c + 3*a*b*c^2)*e^5)*x^3 + 15*(15*c^4*d^4*e - 40*b*c^3*d^3*e^2 + 12*(3*b^2*c^2 + 2*a*c^3)*d^2*e^3 - 12*(b^3*c + 3*a*b*c^2)*d*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^5)*x^2 - 30*(21*c^4*d^5 - 60*b*c^3*d^4*e + 20*(3*b^2*c^2 + 2*a*c^3)*d^3*e^2 - 24*(b^3*c + 3*a*b*c^2)*d^2*e^3 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^4 - 4*(a*b^3 + 3*a^2*b*c)*e^5)*x)/e^8 + 2*(14*c^4*d^6 - 42*b*c^3*d^5*e + 15*(3*b^2*c^2 + 2*a*c^3)*d^4*e^2 - 20*(b^3*c + 3*a*b*c^2)*d^3*e^3 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^4 - 6*(a*b^3 + 3*a^2*b*c)*d*e^5 + (3*a^2*b^2 + 2*a^3*c)*e^6)*log(e*x + d)/e^9","A",0
2154,1,827,0,1.355831," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{73 \, c^{4} d^{8} - 214 \, b c^{3} d^{7} e + 2 \, a^{3} b d e^{7} + a^{4} e^{8} + 74 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 94 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + 13 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} - 22 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 6 \, {\left(14 \, c^{4} d^{6} e^{2} - 42 \, b c^{3} d^{5} e^{3} + 15 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{4} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{5} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{6} - 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{7} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{8}\right)} x^{2} + 6 \, {\left(26 \, c^{4} d^{7} e - 77 \, b c^{3} d^{6} e^{2} + a^{3} b e^{8} + 27 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} - 35 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} + 5 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} - 9 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{3 \, {\left(e^{12} x^{3} + 3 \, d e^{11} x^{2} + 3 \, d^{2} e^{10} x + d^{3} e^{9}\right)}} + \frac{3 \, c^{4} e^{4} x^{5} - 15 \, {\left(c^{4} d e^{3} - b c^{3} e^{4}\right)} x^{4} + 10 \, {\left(5 \, c^{4} d^{2} e^{2} - 8 \, b c^{3} d e^{3} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{4}\right)} x^{3} - 30 \, {\left(5 \, c^{4} d^{3} e - 10 \, b c^{3} d^{2} e^{2} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{3} - {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{4}\right)} x^{2} + 15 \, {\left(35 \, c^{4} d^{4} - 80 \, b c^{3} d^{3} e + 20 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{2} - 16 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{4}\right)} x}{15 \, e^{8}} - \frac{4 \, {\left(14 \, c^{4} d^{5} - 35 \, b c^{3} d^{4} e + 10 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{2} - 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{4} - {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{5}\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"-1/3*(73*c^4*d^8 - 214*b*c^3*d^7*e + 2*a^3*b*d*e^7 + a^4*e^8 + 74*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 94*(b^3*c + 3*a*b*c^2)*d^5*e^3 + 13*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 - 22*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 2*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 6*(14*c^4*d^6*e^2 - 42*b*c^3*d^5*e^3 + 15*(3*b^2*c^2 + 2*a*c^3)*d^4*e^4 - 20*(b^3*c + 3*a*b*c^2)*d^3*e^5 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^6 - 6*(a*b^3 + 3*a^2*b*c)*d*e^7 + (3*a^2*b^2 + 2*a^3*c)*e^8)*x^2 + 6*(26*c^4*d^7*e - 77*b*c^3*d^6*e^2 + a^3*b*e^8 + 27*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 - 35*(b^3*c + 3*a*b*c^2)*d^4*e^4 + 5*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 - 9*(a*b^3 + 3*a^2*b*c)*d^2*e^6 + (3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^12*x^3 + 3*d*e^11*x^2 + 3*d^2*e^10*x + d^3*e^9) + 1/15*(3*c^4*e^4*x^5 - 15*(c^4*d*e^3 - b*c^3*e^4)*x^4 + 10*(5*c^4*d^2*e^2 - 8*b*c^3*d*e^3 + (3*b^2*c^2 + 2*a*c^3)*e^4)*x^3 - 30*(5*c^4*d^3*e - 10*b*c^3*d^2*e^2 + 2*(3*b^2*c^2 + 2*a*c^3)*d*e^3 - (b^3*c + 3*a*b*c^2)*e^4)*x^2 + 15*(35*c^4*d^4 - 80*b*c^3*d^3*e + 20*(3*b^2*c^2 + 2*a*c^3)*d^2*e^2 - 16*(b^3*c + 3*a*b*c^2)*d*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^4)*x)/e^8 - 4*(14*c^4*d^5 - 35*b*c^3*d^4*e + 10*(3*b^2*c^2 + 2*a*c^3)*d^3*e^2 - 10*(b^3*c + 3*a*b*c^2)*d^2*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^4 - (a*b^3 + 3*a^2*b*c)*e^5)*log(e*x + d)/e^9","B",0
2155,1,843,0,1.303561," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^5,x, algorithm=""maxima"")","\frac{533 \, c^{4} d^{8} - 1276 \, b c^{3} d^{7} e - 4 \, a^{3} b d e^{7} - 3 \, a^{4} e^{8} + 342 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 308 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + 25 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} - 12 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} - 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 48 \, {\left(14 \, c^{4} d^{5} e^{3} - 35 \, b c^{3} d^{4} e^{4} + 10 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{5} - 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{7} - {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{8}\right)} x^{3} + 12 \, {\left(154 \, c^{4} d^{6} e^{2} - 378 \, b c^{3} d^{5} e^{3} + 105 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{4} - 100 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{5} + 9 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{6} - 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{7} - {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{8}\right)} x^{2} + 8 \, {\left(214 \, c^{4} d^{7} e - 518 \, b c^{3} d^{6} e^{2} - 2 \, a^{3} b e^{8} + 141 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} - 130 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} + 11 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} - 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} - {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{12 \, {\left(e^{13} x^{4} + 4 \, d e^{12} x^{3} + 6 \, d^{2} e^{11} x^{2} + 4 \, d^{3} e^{10} x + d^{4} e^{9}\right)}} + \frac{3 \, c^{4} e^{3} x^{4} - 4 \, {\left(5 \, c^{4} d e^{2} - 4 \, b c^{3} e^{3}\right)} x^{3} + 6 \, {\left(15 \, c^{4} d^{2} e - 20 \, b c^{3} d e^{2} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{3}\right)} x^{2} - 12 \, {\left(35 \, c^{4} d^{3} - 60 \, b c^{3} d^{2} e + 10 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{2} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{3}\right)} x}{12 \, e^{8}} + \frac{{\left(70 \, c^{4} d^{4} - 140 \, b c^{3} d^{3} e + 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{2} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{4}\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"1/12*(533*c^4*d^8 - 1276*b*c^3*d^7*e - 4*a^3*b*d*e^7 - 3*a^4*e^8 + 342*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 308*(b^3*c + 3*a*b*c^2)*d^5*e^3 + 25*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 - 12*(a*b^3 + 3*a^2*b*c)*d^3*e^5 - 2*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 48*(14*c^4*d^5*e^3 - 35*b*c^3*d^4*e^4 + 10*(3*b^2*c^2 + 2*a*c^3)*d^3*e^5 - 10*(b^3*c + 3*a*b*c^2)*d^2*e^6 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^7 - (a*b^3 + 3*a^2*b*c)*e^8)*x^3 + 12*(154*c^4*d^6*e^2 - 378*b*c^3*d^5*e^3 + 105*(3*b^2*c^2 + 2*a*c^3)*d^4*e^4 - 100*(b^3*c + 3*a*b*c^2)*d^3*e^5 + 9*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^6 - 6*(a*b^3 + 3*a^2*b*c)*d*e^7 - (3*a^2*b^2 + 2*a^3*c)*e^8)*x^2 + 8*(214*c^4*d^7*e - 518*b*c^3*d^6*e^2 - 2*a^3*b*e^8 + 141*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 - 130*(b^3*c + 3*a*b*c^2)*d^4*e^4 + 11*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 - 6*(a*b^3 + 3*a^2*b*c)*d^2*e^6 - (3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^13*x^4 + 4*d*e^12*x^3 + 6*d^2*e^11*x^2 + 4*d^3*e^10*x + d^4*e^9) + 1/12*(3*c^4*e^3*x^4 - 4*(5*c^4*d*e^2 - 4*b*c^3*e^3)*x^3 + 6*(15*c^4*d^2*e - 20*b*c^3*d*e^2 + 2*(3*b^2*c^2 + 2*a*c^3)*e^3)*x^2 - 12*(35*c^4*d^3 - 60*b*c^3*d^2*e + 10*(3*b^2*c^2 + 2*a*c^3)*d*e^2 - 4*(b^3*c + 3*a*b*c^2)*e^3)*x)/e^8 + (70*c^4*d^4 - 140*b*c^3*d^3*e + 30*(3*b^2*c^2 + 2*a*c^3)*d^2*e^2 - 20*(b^3*c + 3*a*b*c^2)*d*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^4)*log(e*x + d)/e^9","B",0
2156,1,850,0,1.403793," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{743 \, c^{4} d^{8} - 1377 \, b c^{3} d^{7} e + 3 \, a^{3} b d e^{7} + 3 \, a^{4} e^{8} + 261 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 137 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 15 \, {\left(70 \, c^{4} d^{4} e^{4} - 140 \, b c^{3} d^{3} e^{5} + 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{6} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{7} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{8}\right)} x^{4} + 30 \, {\left(126 \, c^{4} d^{5} e^{3} - 245 \, b c^{3} d^{4} e^{4} + 50 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{5} - 30 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{7} + {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{8}\right)} x^{3} + 10 \, {\left(518 \, c^{4} d^{6} e^{2} - 987 \, b c^{3} d^{5} e^{3} + 195 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{4} - 110 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{5} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{6} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{7} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{8}\right)} x^{2} + 5 \, {\left(638 \, c^{4} d^{7} e - 1197 \, b c^{3} d^{6} e^{2} + 3 \, a^{3} b e^{8} + 231 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} - 125 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{15 \, {\left(e^{14} x^{5} + 5 \, d e^{13} x^{4} + 10 \, d^{2} e^{12} x^{3} + 10 \, d^{3} e^{11} x^{2} + 5 \, d^{4} e^{10} x + d^{5} e^{9}\right)}} + \frac{c^{4} e^{2} x^{3} - 3 \, {\left(3 \, c^{4} d e - 2 \, b c^{3} e^{2}\right)} x^{2} + 3 \, {\left(21 \, c^{4} d^{2} - 24 \, b c^{3} d e + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{2}\right)} x}{3 \, e^{8}} - \frac{4 \, {\left(14 \, c^{4} d^{3} - 21 \, b c^{3} d^{2} e + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{2} - {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{3}\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"-1/15*(743*c^4*d^8 - 1377*b*c^3*d^7*e + 3*a^3*b*d*e^7 + 3*a^4*e^8 + 261*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 137*(b^3*c + 3*a*b*c^2)*d^5*e^3 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 + 3*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + (3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 15*(70*c^4*d^4*e^4 - 140*b*c^3*d^3*e^5 + 30*(3*b^2*c^2 + 2*a*c^3)*d^2*e^6 - 20*(b^3*c + 3*a*b*c^2)*d*e^7 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^8)*x^4 + 30*(126*c^4*d^5*e^3 - 245*b*c^3*d^4*e^4 + 50*(3*b^2*c^2 + 2*a*c^3)*d^3*e^5 - 30*(b^3*c + 3*a*b*c^2)*d^2*e^6 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^7 + (a*b^3 + 3*a^2*b*c)*e^8)*x^3 + 10*(518*c^4*d^6*e^2 - 987*b*c^3*d^5*e^3 + 195*(3*b^2*c^2 + 2*a*c^3)*d^4*e^4 - 110*(b^3*c + 3*a*b*c^2)*d^3*e^5 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^6 + 3*(a*b^3 + 3*a^2*b*c)*d*e^7 + (3*a^2*b^2 + 2*a^3*c)*e^8)*x^2 + 5*(638*c^4*d^7*e - 1197*b*c^3*d^6*e^2 + 3*a^3*b*e^8 + 231*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 - 125*(b^3*c + 3*a*b*c^2)*d^4*e^4 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 + 3*(a*b^3 + 3*a^2*b*c)*d^2*e^6 + (3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^14*x^5 + 5*d*e^13*x^4 + 10*d^2*e^12*x^3 + 10*d^3*e^11*x^2 + 5*d^4*e^10*x + d^5*e^9) + 1/3*(c^4*e^2*x^3 - 3*(3*c^4*d*e - 2*b*c^3*e^2)*x^2 + 3*(21*c^4*d^2 - 24*b*c^3*d*e + 2*(3*b^2*c^2 + 2*a*c^3)*e^2)*x)/e^8 - 4*(14*c^4*d^3 - 21*b*c^3*d^2*e + 3*(3*b^2*c^2 + 2*a*c^3)*d*e^2 - (b^3*c + 3*a*b*c^2)*e^3)*log(e*x + d)/e^9","B",0
2157,1,866,0,1.426166," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1023 \, c^{4} d^{8} - 1338 \, b c^{3} d^{7} e - 4 \, a^{3} b d e^{7} - 5 \, a^{4} e^{8} + 147 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} - {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} - 2 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} - {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 120 \, {\left(14 \, c^{4} d^{3} e^{5} - 21 \, b c^{3} d^{2} e^{6} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{7} - {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{8}\right)} x^{5} + 15 \, {\left(490 \, c^{4} d^{4} e^{4} - 700 \, b c^{3} d^{3} e^{5} + 90 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{6} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{7} - {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{8}\right)} x^{4} + 20 \, {\left(658 \, c^{4} d^{5} e^{3} - 910 \, b c^{3} d^{4} e^{4} + 110 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{5} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{6} - {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{7} - 2 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{8}\right)} x^{3} + 15 \, {\left(798 \, c^{4} d^{6} e^{2} - 1078 \, b c^{3} d^{5} e^{3} + 125 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{4} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{5} - {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{6} - 2 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{7} - {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{8}\right)} x^{2} + 6 \, {\left(918 \, c^{4} d^{7} e - 1218 \, b c^{3} d^{6} e^{2} - 4 \, a^{3} b e^{8} + 137 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} - {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} - 2 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} - {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{30 \, {\left(e^{15} x^{6} + 6 \, d e^{14} x^{5} + 15 \, d^{2} e^{13} x^{4} + 20 \, d^{3} e^{12} x^{3} + 15 \, d^{4} e^{11} x^{2} + 6 \, d^{5} e^{10} x + d^{6} e^{9}\right)}} + \frac{c^{4} e x^{2} - 2 \, {\left(7 \, c^{4} d - 4 \, b c^{3} e\right)} x}{2 \, e^{8}} + \frac{2 \, {\left(14 \, c^{4} d^{2} - 14 \, b c^{3} d e + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{2}\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"1/30*(1023*c^4*d^8 - 1338*b*c^3*d^7*e - 4*a^3*b*d*e^7 - 5*a^4*e^8 + 147*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 20*(b^3*c + 3*a*b*c^2)*d^5*e^3 - (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 - 2*(a*b^3 + 3*a^2*b*c)*d^3*e^5 - (3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 120*(14*c^4*d^3*e^5 - 21*b*c^3*d^2*e^6 + 3*(3*b^2*c^2 + 2*a*c^3)*d*e^7 - (b^3*c + 3*a*b*c^2)*e^8)*x^5 + 15*(490*c^4*d^4*e^4 - 700*b*c^3*d^3*e^5 + 90*(3*b^2*c^2 + 2*a*c^3)*d^2*e^6 - 20*(b^3*c + 3*a*b*c^2)*d*e^7 - (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^8)*x^4 + 20*(658*c^4*d^5*e^3 - 910*b*c^3*d^4*e^4 + 110*(3*b^2*c^2 + 2*a*c^3)*d^3*e^5 - 20*(b^3*c + 3*a*b*c^2)*d^2*e^6 - (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^7 - 2*(a*b^3 + 3*a^2*b*c)*e^8)*x^3 + 15*(798*c^4*d^6*e^2 - 1078*b*c^3*d^5*e^3 + 125*(3*b^2*c^2 + 2*a*c^3)*d^4*e^4 - 20*(b^3*c + 3*a*b*c^2)*d^3*e^5 - (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^6 - 2*(a*b^3 + 3*a^2*b*c)*d*e^7 - (3*a^2*b^2 + 2*a^3*c)*e^8)*x^2 + 6*(918*c^4*d^7*e - 1218*b*c^3*d^6*e^2 - 4*a^3*b*e^8 + 137*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 - 20*(b^3*c + 3*a*b*c^2)*d^4*e^4 - (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 - 2*(a*b^3 + 3*a^2*b*c)*d^2*e^6 - (3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^15*x^6 + 6*d*e^14*x^5 + 15*d^2*e^13*x^4 + 20*d^3*e^12*x^3 + 15*d^4*e^11*x^2 + 6*d^5*e^10*x + d^6*e^9) + 1/2*(c^4*e*x^2 - 2*(7*c^4*d - 4*b*c^3*e)*x)/e^8 + 2*(14*c^4*d^2 - 14*b*c^3*d*e + (3*b^2*c^2 + 2*a*c^3)*e^2)*log(e*x + d)/e^9","B",0
2158,1,872,0,1.381059," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{1443 \, c^{4} d^{8} - 1089 \, b c^{3} d^{7} e + 10 \, a^{3} b d e^{7} + 15 \, a^{4} e^{8} + 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 210 \, {\left(14 \, c^{4} d^{2} e^{6} - 14 \, b c^{3} d e^{7} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{8}\right)} x^{6} + 210 \, {\left(70 \, c^{4} d^{3} e^{5} - 63 \, b c^{3} d^{2} e^{6} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{7} + {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{8}\right)} x^{5} + 35 \, {\left(910 \, c^{4} d^{4} e^{4} - 770 \, b c^{3} d^{3} e^{5} + 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{6} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{7} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{8}\right)} x^{4} + 35 \, {\left(1078 \, c^{4} d^{5} e^{3} - 875 \, b c^{3} d^{4} e^{4} + 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{5} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{7} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{8}\right)} x^{3} + 21 \, {\left(1218 \, c^{4} d^{6} e^{2} - 959 \, b c^{3} d^{5} e^{3} + 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{4} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{5} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{6} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{7} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{8}\right)} x^{2} + 7 \, {\left(1338 \, c^{4} d^{7} e - 1029 \, b c^{3} d^{6} e^{2} + 10 \, a^{3} b e^{8} + 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{105 \, {\left(e^{16} x^{7} + 7 \, d e^{15} x^{6} + 21 \, d^{2} e^{14} x^{5} + 35 \, d^{3} e^{13} x^{4} + 35 \, d^{4} e^{12} x^{3} + 21 \, d^{5} e^{11} x^{2} + 7 \, d^{6} e^{10} x + d^{7} e^{9}\right)}} + \frac{c^{4} x}{e^{8}} - \frac{4 \, {\left(2 \, c^{4} d - b c^{3} e\right)} \log\left(e x + d\right)}{e^{9}}"," ",0,"-1/105*(1443*c^4*d^8 - 1089*b*c^3*d^7*e + 10*a^3*b*d*e^7 + 15*a^4*e^8 + 30*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 + 10*(b^3*c + 3*a*b*c^2)*d^5*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 + 3*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 2*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 210*(14*c^4*d^2*e^6 - 14*b*c^3*d*e^7 + (3*b^2*c^2 + 2*a*c^3)*e^8)*x^6 + 210*(70*c^4*d^3*e^5 - 63*b*c^3*d^2*e^6 + 3*(3*b^2*c^2 + 2*a*c^3)*d*e^7 + (b^3*c + 3*a*b*c^2)*e^8)*x^5 + 35*(910*c^4*d^4*e^4 - 770*b*c^3*d^3*e^5 + 30*(3*b^2*c^2 + 2*a*c^3)*d^2*e^6 + 10*(b^3*c + 3*a*b*c^2)*d*e^7 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^8)*x^4 + 35*(1078*c^4*d^5*e^3 - 875*b*c^3*d^4*e^4 + 30*(3*b^2*c^2 + 2*a*c^3)*d^3*e^5 + 10*(b^3*c + 3*a*b*c^2)*d^2*e^6 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^7 + 3*(a*b^3 + 3*a^2*b*c)*e^8)*x^3 + 21*(1218*c^4*d^6*e^2 - 959*b*c^3*d^5*e^3 + 30*(3*b^2*c^2 + 2*a*c^3)*d^4*e^4 + 10*(b^3*c + 3*a*b*c^2)*d^3*e^5 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^6 + 3*(a*b^3 + 3*a^2*b*c)*d*e^7 + 2*(3*a^2*b^2 + 2*a^3*c)*e^8)*x^2 + 7*(1338*c^4*d^7*e - 1029*b*c^3*d^6*e^2 + 10*a^3*b*e^8 + 30*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 + 10*(b^3*c + 3*a*b*c^2)*d^4*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 + 3*(a*b^3 + 3*a^2*b*c)*d^2*e^6 + 2*(3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^16*x^7 + 7*d*e^15*x^6 + 21*d^2*e^14*x^5 + 35*d^3*e^13*x^4 + 35*d^4*e^12*x^3 + 21*d^5*e^11*x^2 + 7*d^6*e^10*x + d^7*e^9) + c^4*x/e^8 - 4*(2*c^4*d - b*c^3*e)*log(e*x + d)/e^9","B",0
2159,1,894,0,1.507522," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^9,x, algorithm=""maxima"")","\frac{2283 \, c^{4} d^{8} - 420 \, b c^{3} d^{7} e - 60 \, a^{3} b d e^{7} - 105 \, a^{4} e^{8} - 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} - 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} - 12 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} - 10 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 3360 \, {\left(2 \, c^{4} d e^{7} - b c^{3} e^{8}\right)} x^{7} + 840 \, {\left(42 \, c^{4} d^{2} e^{6} - 14 \, b c^{3} d e^{7} - {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{8}\right)} x^{6} + 560 \, {\left(154 \, c^{4} d^{3} e^{5} - 42 \, b c^{3} d^{2} e^{6} - 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{7} - 2 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{8}\right)} x^{5} + 70 \, {\left(1750 \, c^{4} d^{4} e^{4} - 420 \, b c^{3} d^{3} e^{5} - 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{6} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{7} - 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{8}\right)} x^{4} + 56 \, {\left(1918 \, c^{4} d^{5} e^{3} - 420 \, b c^{3} d^{4} e^{4} - 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{5} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{6} - 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{7} - 12 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{8}\right)} x^{3} + 28 \, {\left(2058 \, c^{4} d^{6} e^{2} - 420 \, b c^{3} d^{5} e^{3} - 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{4} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{5} - 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{6} - 12 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{7} - 10 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{8}\right)} x^{2} + 8 \, {\left(2178 \, c^{4} d^{7} e - 420 \, b c^{3} d^{6} e^{2} - 60 \, a^{3} b e^{8} - 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} - 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} - 12 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} - 10 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{840 \, {\left(e^{17} x^{8} + 8 \, d e^{16} x^{7} + 28 \, d^{2} e^{15} x^{6} + 56 \, d^{3} e^{14} x^{5} + 70 \, d^{4} e^{13} x^{4} + 56 \, d^{5} e^{12} x^{3} + 28 \, d^{6} e^{11} x^{2} + 8 \, d^{7} e^{10} x + d^{8} e^{9}\right)}} + \frac{c^{4} \log\left(e x + d\right)}{e^{9}}"," ",0,"1/840*(2283*c^4*d^8 - 420*b*c^3*d^7*e - 60*a^3*b*d*e^7 - 105*a^4*e^8 - 30*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 20*(b^3*c + 3*a*b*c^2)*d^5*e^3 - 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 - 12*(a*b^3 + 3*a^2*b*c)*d^3*e^5 - 10*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 3360*(2*c^4*d*e^7 - b*c^3*e^8)*x^7 + 840*(42*c^4*d^2*e^6 - 14*b*c^3*d*e^7 - (3*b^2*c^2 + 2*a*c^3)*e^8)*x^6 + 560*(154*c^4*d^3*e^5 - 42*b*c^3*d^2*e^6 - 3*(3*b^2*c^2 + 2*a*c^3)*d*e^7 - 2*(b^3*c + 3*a*b*c^2)*e^8)*x^5 + 70*(1750*c^4*d^4*e^4 - 420*b*c^3*d^3*e^5 - 30*(3*b^2*c^2 + 2*a*c^3)*d^2*e^6 - 20*(b^3*c + 3*a*b*c^2)*d*e^7 - 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^8)*x^4 + 56*(1918*c^4*d^5*e^3 - 420*b*c^3*d^4*e^4 - 30*(3*b^2*c^2 + 2*a*c^3)*d^3*e^5 - 20*(b^3*c + 3*a*b*c^2)*d^2*e^6 - 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^7 - 12*(a*b^3 + 3*a^2*b*c)*e^8)*x^3 + 28*(2058*c^4*d^6*e^2 - 420*b*c^3*d^5*e^3 - 30*(3*b^2*c^2 + 2*a*c^3)*d^4*e^4 - 20*(b^3*c + 3*a*b*c^2)*d^3*e^5 - 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^6 - 12*(a*b^3 + 3*a^2*b*c)*d*e^7 - 10*(3*a^2*b^2 + 2*a^3*c)*e^8)*x^2 + 8*(2178*c^4*d^7*e - 420*b*c^3*d^6*e^2 - 60*a^3*b*e^8 - 30*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 - 20*(b^3*c + 3*a*b*c^2)*d^4*e^4 - 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 - 12*(a*b^3 + 3*a^2*b*c)*d^2*e^6 - 10*(3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^17*x^8 + 8*d*e^16*x^7 + 28*d^2*e^15*x^6 + 56*d^3*e^14*x^5 + 70*d^4*e^13*x^4 + 56*d^5*e^12*x^3 + 28*d^6*e^11*x^2 + 8*d^7*e^10*x + d^8*e^9) + c^4*log(e*x + d)/e^9","B",0
2160,1,893,0,1.495485," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{630 \, c^{4} e^{8} x^{8} + 70 \, c^{4} d^{8} + 35 \, b c^{3} d^{7} e + 35 \, a^{3} b d e^{7} + 70 \, a^{4} e^{8} + 5 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} + 5 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 5 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 1260 \, {\left(2 \, c^{4} d e^{7} + b c^{3} e^{8}\right)} x^{7} + 420 \, {\left(14 \, c^{4} d^{2} e^{6} + 7 \, b c^{3} d e^{7} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{8}\right)} x^{6} + 630 \, {\left(14 \, c^{4} d^{3} e^{5} + 7 \, b c^{3} d^{2} e^{6} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{7} + {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{8}\right)} x^{5} + 126 \, {\left(70 \, c^{4} d^{4} e^{4} + 35 \, b c^{3} d^{3} e^{5} + 5 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{6} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{7} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{8}\right)} x^{4} + 84 \, {\left(70 \, c^{4} d^{5} e^{3} + 35 \, b c^{3} d^{4} e^{4} + 5 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{5} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{7} + 5 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{8}\right)} x^{3} + 36 \, {\left(70 \, c^{4} d^{6} e^{2} + 35 \, b c^{3} d^{5} e^{3} + 5 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{4} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{5} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{6} + 5 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{7} + 5 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{8}\right)} x^{2} + 9 \, {\left(70 \, c^{4} d^{7} e + 35 \, b c^{3} d^{6} e^{2} + 35 \, a^{3} b e^{8} + 5 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} + 5 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} + 5 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{630 \, {\left(e^{18} x^{9} + 9 \, d e^{17} x^{8} + 36 \, d^{2} e^{16} x^{7} + 84 \, d^{3} e^{15} x^{6} + 126 \, d^{4} e^{14} x^{5} + 126 \, d^{5} e^{13} x^{4} + 84 \, d^{6} e^{12} x^{3} + 36 \, d^{7} e^{11} x^{2} + 9 \, d^{8} e^{10} x + d^{9} e^{9}\right)}}"," ",0,"-1/630*(630*c^4*e^8*x^8 + 70*c^4*d^8 + 35*b*c^3*d^7*e + 35*a^3*b*d*e^7 + 70*a^4*e^8 + 5*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 + 5*(b^3*c + 3*a*b*c^2)*d^5*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 + 5*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 5*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 1260*(2*c^4*d*e^7 + b*c^3*e^8)*x^7 + 420*(14*c^4*d^2*e^6 + 7*b*c^3*d*e^7 + (3*b^2*c^2 + 2*a*c^3)*e^8)*x^6 + 630*(14*c^4*d^3*e^5 + 7*b*c^3*d^2*e^6 + (3*b^2*c^2 + 2*a*c^3)*d*e^7 + (b^3*c + 3*a*b*c^2)*e^8)*x^5 + 126*(70*c^4*d^4*e^4 + 35*b*c^3*d^3*e^5 + 5*(3*b^2*c^2 + 2*a*c^3)*d^2*e^6 + 5*(b^3*c + 3*a*b*c^2)*d*e^7 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^8)*x^4 + 84*(70*c^4*d^5*e^3 + 35*b*c^3*d^4*e^4 + 5*(3*b^2*c^2 + 2*a*c^3)*d^3*e^5 + 5*(b^3*c + 3*a*b*c^2)*d^2*e^6 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^7 + 5*(a*b^3 + 3*a^2*b*c)*e^8)*x^3 + 36*(70*c^4*d^6*e^2 + 35*b*c^3*d^5*e^3 + 5*(3*b^2*c^2 + 2*a*c^3)*d^4*e^4 + 5*(b^3*c + 3*a*b*c^2)*d^3*e^5 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^6 + 5*(a*b^3 + 3*a^2*b*c)*d*e^7 + 5*(3*a^2*b^2 + 2*a^3*c)*e^8)*x^2 + 9*(70*c^4*d^7*e + 35*b*c^3*d^6*e^2 + 35*a^3*b*e^8 + 5*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 + 5*(b^3*c + 3*a*b*c^2)*d^4*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 + 5*(a*b^3 + 3*a^2*b*c)*d^2*e^6 + 5*(3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^18*x^9 + 9*d*e^17*x^8 + 36*d^2*e^16*x^7 + 84*d^3*e^15*x^6 + 126*d^4*e^14*x^5 + 126*d^5*e^13*x^4 + 84*d^6*e^12*x^3 + 36*d^7*e^11*x^2 + 9*d^8*e^10*x + d^9*e^9)","B",0
2161,1,906,0,1.575163," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^11,x, algorithm=""maxima"")","-\frac{630 \, c^{4} e^{8} x^{8} + 14 \, c^{4} d^{8} + 14 \, b c^{3} d^{7} e + 56 \, a^{3} b d e^{7} + 126 \, a^{4} e^{8} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} + 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} + 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 7 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 1680 \, {\left(c^{4} d e^{7} + b c^{3} e^{8}\right)} x^{7} + 210 \, {\left(14 \, c^{4} d^{2} e^{6} + 14 \, b c^{3} d e^{7} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{8}\right)} x^{6} + 252 \, {\left(14 \, c^{4} d^{3} e^{5} + 14 \, b c^{3} d^{2} e^{6} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{7} + 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{8}\right)} x^{5} + 210 \, {\left(14 \, c^{4} d^{4} e^{4} + 14 \, b c^{3} d^{3} e^{5} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{6} + 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{7} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{8}\right)} x^{4} + 120 \, {\left(14 \, c^{4} d^{5} e^{3} + 14 \, b c^{3} d^{4} e^{4} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{5} + 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{7} + 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{8}\right)} x^{3} + 45 \, {\left(14 \, c^{4} d^{6} e^{2} + 14 \, b c^{3} d^{5} e^{3} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{4} + 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{5} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{6} + 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{7} + 7 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{8}\right)} x^{2} + 10 \, {\left(14 \, c^{4} d^{7} e + 14 \, b c^{3} d^{6} e^{2} + 56 \, a^{3} b e^{8} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} + 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} + 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} + 7 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{1260 \, {\left(e^{19} x^{10} + 10 \, d e^{18} x^{9} + 45 \, d^{2} e^{17} x^{8} + 120 \, d^{3} e^{16} x^{7} + 210 \, d^{4} e^{15} x^{6} + 252 \, d^{5} e^{14} x^{5} + 210 \, d^{6} e^{13} x^{4} + 120 \, d^{7} e^{12} x^{3} + 45 \, d^{8} e^{11} x^{2} + 10 \, d^{9} e^{10} x + d^{10} e^{9}\right)}}"," ",0,"-1/1260*(630*c^4*e^8*x^8 + 14*c^4*d^8 + 14*b*c^3*d^7*e + 56*a^3*b*d*e^7 + 126*a^4*e^8 + 3*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 + 4*(b^3*c + 3*a*b*c^2)*d^5*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 + 6*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 7*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 1680*(c^4*d*e^7 + b*c^3*e^8)*x^7 + 210*(14*c^4*d^2*e^6 + 14*b*c^3*d*e^7 + 3*(3*b^2*c^2 + 2*a*c^3)*e^8)*x^6 + 252*(14*c^4*d^3*e^5 + 14*b*c^3*d^2*e^6 + 3*(3*b^2*c^2 + 2*a*c^3)*d*e^7 + 4*(b^3*c + 3*a*b*c^2)*e^8)*x^5 + 210*(14*c^4*d^4*e^4 + 14*b*c^3*d^3*e^5 + 3*(3*b^2*c^2 + 2*a*c^3)*d^2*e^6 + 4*(b^3*c + 3*a*b*c^2)*d*e^7 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^8)*x^4 + 120*(14*c^4*d^5*e^3 + 14*b*c^3*d^4*e^4 + 3*(3*b^2*c^2 + 2*a*c^3)*d^3*e^5 + 4*(b^3*c + 3*a*b*c^2)*d^2*e^6 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^7 + 6*(a*b^3 + 3*a^2*b*c)*e^8)*x^3 + 45*(14*c^4*d^6*e^2 + 14*b*c^3*d^5*e^3 + 3*(3*b^2*c^2 + 2*a*c^3)*d^4*e^4 + 4*(b^3*c + 3*a*b*c^2)*d^3*e^5 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^6 + 6*(a*b^3 + 3*a^2*b*c)*d*e^7 + 7*(3*a^2*b^2 + 2*a^3*c)*e^8)*x^2 + 10*(14*c^4*d^7*e + 14*b*c^3*d^6*e^2 + 56*a^3*b*e^8 + 3*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 + 4*(b^3*c + 3*a*b*c^2)*d^4*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 + 6*(a*b^3 + 3*a^2*b*c)*d^2*e^6 + 7*(3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^19*x^10 + 10*d*e^18*x^9 + 45*d^2*e^17*x^8 + 120*d^3*e^16*x^7 + 210*d^4*e^15*x^6 + 252*d^5*e^14*x^5 + 210*d^6*e^13*x^4 + 120*d^7*e^12*x^3 + 45*d^8*e^11*x^2 + 10*d^9*e^10*x + d^10*e^9)","B",0
2162,1,924,0,1.745735," ","integrate((c*x^2+b*x+a)^4/(e*x+d)^12,x, algorithm=""maxima"")","-\frac{2310 \, c^{4} e^{8} x^{8} + 14 \, c^{4} d^{8} + 21 \, b c^{3} d^{7} e + 252 \, a^{3} b d e^{7} + 630 \, a^{4} e^{8} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} + 21 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 28 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6} + 2310 \, {\left(2 \, c^{4} d e^{7} + 3 \, b c^{3} e^{8}\right)} x^{7} + 462 \, {\left(14 \, c^{4} d^{2} e^{6} + 21 \, b c^{3} d e^{7} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{8}\right)} x^{6} + 462 \, {\left(14 \, c^{4} d^{3} e^{5} + 21 \, b c^{3} d^{2} e^{6} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{7} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{8}\right)} x^{5} + 330 \, {\left(14 \, c^{4} d^{4} e^{4} + 21 \, b c^{3} d^{3} e^{5} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{6} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d e^{7} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} e^{8}\right)} x^{4} + 165 \, {\left(14 \, c^{4} d^{5} e^{3} + 21 \, b c^{3} d^{4} e^{4} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{5} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{6} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{7} + 21 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{8}\right)} x^{3} + 55 \, {\left(14 \, c^{4} d^{6} e^{2} + 21 \, b c^{3} d^{5} e^{3} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{4} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{5} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{6} + 21 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{7} + 28 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{8}\right)} x^{2} + 11 \, {\left(14 \, c^{4} d^{7} e + 21 \, b c^{3} d^{6} e^{2} + 252 \, a^{3} b e^{8} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{3} + 10 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{4} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{5} + 21 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{6} + 28 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{7}\right)} x}{6930 \, {\left(e^{20} x^{11} + 11 \, d e^{19} x^{10} + 55 \, d^{2} e^{18} x^{9} + 165 \, d^{3} e^{17} x^{8} + 330 \, d^{4} e^{16} x^{7} + 462 \, d^{5} e^{15} x^{6} + 462 \, d^{6} e^{14} x^{5} + 330 \, d^{7} e^{13} x^{4} + 165 \, d^{8} e^{12} x^{3} + 55 \, d^{9} e^{11} x^{2} + 11 \, d^{10} e^{10} x + d^{11} e^{9}\right)}}"," ",0,"-1/6930*(2310*c^4*e^8*x^8 + 14*c^4*d^8 + 21*b*c^3*d^7*e + 252*a^3*b*d*e^7 + 630*a^4*e^8 + 6*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 + 10*(b^3*c + 3*a*b*c^2)*d^5*e^3 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 + 21*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 28*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6 + 2310*(2*c^4*d*e^7 + 3*b*c^3*e^8)*x^7 + 462*(14*c^4*d^2*e^6 + 21*b*c^3*d*e^7 + 6*(3*b^2*c^2 + 2*a*c^3)*e^8)*x^6 + 462*(14*c^4*d^3*e^5 + 21*b*c^3*d^2*e^6 + 6*(3*b^2*c^2 + 2*a*c^3)*d*e^7 + 10*(b^3*c + 3*a*b*c^2)*e^8)*x^5 + 330*(14*c^4*d^4*e^4 + 21*b*c^3*d^3*e^5 + 6*(3*b^2*c^2 + 2*a*c^3)*d^2*e^6 + 10*(b^3*c + 3*a*b*c^2)*d*e^7 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*e^8)*x^4 + 165*(14*c^4*d^5*e^3 + 21*b*c^3*d^4*e^4 + 6*(3*b^2*c^2 + 2*a*c^3)*d^3*e^5 + 10*(b^3*c + 3*a*b*c^2)*d^2*e^6 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^7 + 21*(a*b^3 + 3*a^2*b*c)*e^8)*x^3 + 55*(14*c^4*d^6*e^2 + 21*b*c^3*d^5*e^3 + 6*(3*b^2*c^2 + 2*a*c^3)*d^4*e^4 + 10*(b^3*c + 3*a*b*c^2)*d^3*e^5 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^6 + 21*(a*b^3 + 3*a^2*b*c)*d*e^7 + 28*(3*a^2*b^2 + 2*a^3*c)*e^8)*x^2 + 11*(14*c^4*d^7*e + 21*b*c^3*d^6*e^2 + 252*a^3*b*e^8 + 6*(3*b^2*c^2 + 2*a*c^3)*d^5*e^3 + 10*(b^3*c + 3*a*b*c^2)*d^4*e^4 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^5 + 21*(a*b^3 + 3*a^2*b*c)*d^2*e^6 + 28*(3*a^2*b^2 + 2*a^3*c)*d*e^7)*x)/(e^20*x^11 + 11*d*e^19*x^10 + 55*d^2*e^18*x^9 + 165*d^3*e^17*x^8 + 330*d^4*e^16*x^7 + 462*d^5*e^15*x^6 + 462*d^6*e^14*x^5 + 330*d^7*e^13*x^4 + 165*d^8*e^12*x^3 + 55*d^9*e^11*x^2 + 11*d^10*e^10*x + d^11*e^9)","B",0
2163,1,26,0,1.079870," ","integrate(x^4*(x^2-4*x+3)^2,x, algorithm=""maxima"")","\frac{1}{9} \, x^{9} - x^{8} + \frac{22}{7} \, x^{7} - 4 \, x^{6} + \frac{9}{5} \, x^{5}"," ",0,"1/9*x^9 - x^8 + 22/7*x^7 - 4*x^6 + 9/5*x^5","A",0
2164,1,26,0,1.081745," ","integrate(x^3*(x^2-4*x+3)^2,x, algorithm=""maxima"")","\frac{1}{8} \, x^{8} - \frac{8}{7} \, x^{7} + \frac{11}{3} \, x^{6} - \frac{24}{5} \, x^{5} + \frac{9}{4} \, x^{4}"," ",0,"1/8*x^8 - 8/7*x^7 + 11/3*x^6 - 24/5*x^5 + 9/4*x^4","A",0
2165,1,26,0,1.028081," ","integrate(x^2*(x^2-4*x+3)^2,x, algorithm=""maxima"")","\frac{1}{7} \, x^{7} - \frac{4}{3} \, x^{6} + \frac{22}{5} \, x^{5} - 6 \, x^{4} + 3 \, x^{3}"," ",0,"1/7*x^7 - 4/3*x^6 + 22/5*x^5 - 6*x^4 + 3*x^3","A",0
2166,1,26,0,1.015930," ","integrate(x*(x^2-4*x+3)^2,x, algorithm=""maxima"")","\frac{1}{6} \, x^{6} - \frac{8}{5} \, x^{5} + \frac{11}{2} \, x^{4} - 8 \, x^{3} + \frac{9}{2} \, x^{2}"," ",0,"1/6*x^6 - 8/5*x^5 + 11/2*x^4 - 8*x^3 + 9/2*x^2","A",0
2167,1,24,0,1.055395," ","integrate((x^2-4*x+3)^2,x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} - 2 \, x^{4} + \frac{22}{3} \, x^{3} - 12 \, x^{2} + 9 \, x"," ",0,"1/5*x^5 - 2*x^4 + 22/3*x^3 - 12*x^2 + 9*x","A",0
2168,1,23,0,0.997173," ","integrate((x^2-4*x+3)^2/x,x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} - \frac{8}{3} \, x^{3} + 11 \, x^{2} - 24 \, x + 9 \, \log\left(x\right)"," ",0,"1/4*x^4 - 8/3*x^3 + 11*x^2 - 24*x + 9*log(x)","A",0
2169,1,23,0,1.124096," ","integrate((x^2-4*x+3)^2/x^2,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} - 4 \, x^{2} + 22 \, x - \frac{9}{x} - 24 \, \log\left(x\right)"," ",0,"1/3*x^3 - 4*x^2 + 22*x - 9/x - 24*log(x)","A",0
2170,1,23,0,0.996539," ","integrate((x^2-4*x+3)^2/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - 8 \, x + \frac{3 \, {\left(16 \, x - 3\right)}}{2 \, x^{2}} + 22 \, \log\left(x\right)"," ",0,"1/2*x^2 - 8*x + 3/2*(16*x - 3)/x^2 + 22*log(x)","A",0
2171,1,21,0,1.003747," ","integrate((x^2-4*x+3)^2/x^4,x, algorithm=""maxima"")","x - \frac{22 \, x^{2} - 12 \, x + 3}{x^{3}} - 8 \, \log\left(x\right)"," ",0,"x - (22*x^2 - 12*x + 3)/x^3 - 8*log(x)","A",0
2172,1,23,0,0.991347," ","integrate((x^2-4*x+3)^2/x^5,x, algorithm=""maxima"")","\frac{32 \, x^{3} - 44 \, x^{2} + 32 \, x - 9}{4 \, x^{4}} + \log\left(x\right)"," ",0,"1/4*(32*x^3 - 44*x^2 + 32*x - 9)/x^4 + log(x)","A",0
2173,1,25,0,1.020161," ","integrate((x^2-4*x+3)^2/x^6,x, algorithm=""maxima"")","-\frac{15 \, x^{4} - 60 \, x^{3} + 110 \, x^{2} - 90 \, x + 27}{15 \, x^{5}}"," ",0,"-1/15*(15*x^4 - 60*x^3 + 110*x^2 - 90*x + 27)/x^5","A",0
2174,1,25,0,1.073370," ","integrate((x^2-4*x+3)^2/x^7,x, algorithm=""maxima"")","-\frac{15 \, x^{4} - 80 \, x^{3} + 165 \, x^{2} - 144 \, x + 45}{30 \, x^{6}}"," ",0,"-1/30*(15*x^4 - 80*x^3 + 165*x^2 - 144*x + 45)/x^6","A",0
2175,1,12,0,1.094411," ","integrate((x^2+2*x+2)/(2+x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + 2 \, \log\left(x + 2\right)"," ",0,"1/2*x^2 + 2*log(x + 2)","A",0
2176,1,15,0,0.952951," ","integrate((x^2+4*x+5)/(-2+x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + 6 \, x + 17 \, \log\left(x - 2\right)"," ",0,"1/2*x^2 + 6*x + 17*log(x - 2)","A",0
2177,1,17,0,0.761941," ","integrate((x^2+2*x+2)/(1+x)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(x^{2} + 2 \, x + 1\right)}} + \log\left(x + 1\right)"," ",0,"-1/2/(x^2 + 2*x + 1) + log(x + 1)","A",0
2178,1,19,0,0.893768," ","integrate((2*x^2+3*x+3)/(1+x)^3,x, algorithm=""maxima"")","\frac{x}{x^{2} + 2 \, x + 1} + 2 \, \log\left(x + 1\right)"," ",0,"x/(x^2 + 2*x + 1) + 2*log(x + 1)","A",0
2179,1,9,0,0.906749," ","integrate((x^2+x+1)/x,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + x + \log\left(x\right)"," ",0,"1/2*x^2 + x + log(x)","A",0
2180,1,11,0,0.799142," ","integrate((x^2+6*x+9)/x^2,x, algorithm=""maxima"")","x - \frac{9}{x} + 6 \, \log\left(x\right)"," ",0,"x - 9/x + 6*log(x)","A",0
2181,1,15,0,0.870206," ","integrate((x^2+2*x+1)/x^4,x, algorithm=""maxima"")","-\frac{3 \, x^{2} + 3 \, x + 1}{3 \, x^{3}}"," ",0,"-1/3*(3*x^2 + 3*x + 1)/x^3","A",0
2182,-2,0,0,0.000000," ","integrate((e*x+d)^4/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2183,-2,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2184,-2,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2185,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2186,-2,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2187,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2188,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2189,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2190,-2,0,0,0.000000," ","integrate((e*x+d)^5/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2191,-2,0,0,0.000000," ","integrate((e*x+d)^4/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2192,-2,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2193,-2,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2194,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2195,-2,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2196,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2197,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2198,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2199,-2,0,0,0.000000," ","integrate(x^7/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2200,-2,0,0,0.000000," ","integrate(x^6/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2201,-2,0,0,0.000000," ","integrate((e*x+d)^5/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2202,-2,0,0,0.000000," ","integrate((e*x+d)^4/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2203,-2,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2204,-2,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2205,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2206,-2,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2207,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2208,-2,0,0,0.000000," ","integrate(1/x^2/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2209,-2,0,0,0.000000," ","integrate(1/x^3/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2210,-2,0,0,0.000000," ","integrate(x^8/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2211,-2,0,0,0.000000," ","integrate(x^7/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2212,-2,0,0,0.000000," ","integrate(x^6/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2213,-2,0,0,0.000000," ","integrate(x^5/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2214,-2,0,0,0.000000," ","integrate((e*x+d)^4/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2215,-2,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2216,-2,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2217,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2218,-2,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2219,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2220,-2,0,0,0.000000," ","integrate(1/x^2/(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2221,-2,0,0,0.000000," ","integrate((e*x+d)^5/(c*x^2+b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2222,-2,0,0,0.000000," ","integrate((e*x+d)^4/(c*x^2+b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2223,-2,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2224,-2,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2225,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2226,-2,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2227,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2228,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
2229,1,77,0,1.998844," ","integrate(1/(1+2*x)/(5*x^2+3*x+2)^3,x, algorithm=""maxima"")","\frac{125624}{10218313} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{45800 \, x^{3} + 79660 \, x^{2} + 53968 \, x + 28901}{94178 \, {\left(25 \, x^{4} + 30 \, x^{3} + 29 \, x^{2} + 12 \, x + 4\right)}} - \frac{16}{343} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) + \frac{32}{343} \, \log\left(2 \, x + 1\right)"," ",0,"125624/10218313*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 1/94178*(45800*x^3 + 79660*x^2 + 53968*x + 28901)/(25*x^4 + 30*x^3 + 29*x^2 + 12*x + 4) - 16/343*log(5*x^2 + 3*x + 2) + 32/343*log(2*x + 1)","A",0
2230,1,87,0,1.824524," ","integrate(1/(1+2*x)^2/(5*x^2+3*x+2)^3,x, algorithm=""maxima"")","-\frac{1065012}{71528191} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) - \frac{2575800 \, x^{4} + 2683560 \, x^{3} + 2293598 \, x^{2} + 773110 \, x + 175969}{659246 \, {\left(50 \, x^{5} + 85 \, x^{4} + 88 \, x^{3} + 53 \, x^{2} + 20 \, x + 4\right)}} - \frac{192}{2401} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) + \frac{384}{2401} \, \log\left(2 \, x + 1\right)"," ",0,"-1065012/71528191*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) - 1/659246*(2575800*x^4 + 2683560*x^3 + 2293598*x^2 + 773110*x + 175969)/(50*x^5 + 85*x^4 + 88*x^3 + 53*x^2 + 20*x + 4) - 192/2401*log(5*x^2 + 3*x + 2) + 384/2401*log(2*x + 1)","A",0
2231,1,97,0,1.902871," ","integrate(1/(1+2*x)/(5*x^2+3*x+2)^4,x, algorithm=""maxima"")","\frac{19007376}{2217373921} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{60969000 \, x^{5} + 127202700 \, x^{4} + 143405620 \, x^{3} + 105257844 \, x^{2} + 44933184 \, x + 13831165}{30654939 \, {\left(125 \, x^{6} + 225 \, x^{5} + 285 \, x^{4} + 207 \, x^{3} + 114 \, x^{2} + 36 \, x + 8\right)}} - \frac{64}{2401} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) + \frac{128}{2401} \, \log\left(2 \, x + 1\right)"," ",0,"19007376/2217373921*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 1/30654939*(60969000*x^5 + 127202700*x^4 + 143405620*x^3 + 105257844*x^2 + 44933184*x + 13831165)/(125*x^6 + 225*x^5 + 285*x^4 + 207*x^3 + 114*x^2 + 36*x + 8) - 64/2401*log(5*x^2 + 3*x + 2) + 128/2401*log(2*x + 1)","A",0
2232,1,107,0,2.001118," ","integrate(1/(1+2*x)^2/(5*x^2+3*x+2)^4,x, algorithm=""maxima"")","-\frac{116056984}{15521617447} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) - \frac{2550867000 \, x^{6} + 3957759600 \, x^{5} + 4525420710 \, x^{4} + 2788779072 \, x^{3} + 1299394083 \, x^{2} + 304894531 \, x + 38489903}{214584573 \, {\left(250 \, x^{7} + 575 \, x^{6} + 795 \, x^{5} + 699 \, x^{4} + 435 \, x^{3} + 186 \, x^{2} + 52 \, x + 8\right)}} - \frac{1024}{16807} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) + \frac{2048}{16807} \, \log\left(2 \, x + 1\right)"," ",0,"-116056984/15521617447*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) - 1/214584573*(2550867000*x^6 + 3957759600*x^5 + 4525420710*x^4 + 2788779072*x^3 + 1299394083*x^2 + 304894531*x + 38489903)/(250*x^7 + 575*x^6 + 795*x^5 + 699*x^4 + 435*x^3 + 186*x^2 + 52*x + 8) - 1024/16807*log(5*x^2 + 3*x + 2) + 2048/16807*log(2*x + 1)","A",0
2233,1,35,0,1.957637," ","integrate((7-3*x)/(x^2+2*x-5),x, algorithm=""maxima"")","\frac{5}{6} \, \sqrt{6} \log\left(\frac{x - \sqrt{6} + 1}{x + \sqrt{6} + 1}\right) - \frac{3}{2} \, \log\left(x^{2} + 2 \, x - 5\right)"," ",0,"5/6*sqrt(6)*log((x - sqrt(6) + 1)/(x + sqrt(6) + 1)) - 3/2*log(x^2 + 2*x - 5)","A",0
2234,1,32,0,1.908308," ","integrate(1/(-1+x)/(x^2+x+1),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*log(x^2 + x + 1) + 1/3*log(x - 1)","A",0
2235,-2,0,0,0.000000," ","integrate(2*((a/b)^(1/n)-x*cos((-1+2*k)*pi/n))/((a/b)^(2/n)+x^2-2*(a/b)^(1/n)*x*cos((-1+2*k)*pi/n)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(1>0)', see `assume?` for more details)Is 1 zero or nonzero?","F(-2)",0
2236,1,30,0,0.881532," ","integrate(x^4/(15*x^2+13*x+2),x, algorithm=""maxima"")","\frac{1}{45} \, x^{3} - \frac{13}{450} \, x^{2} + \frac{139}{3375} \, x + \frac{1}{4375} \, \log\left(5 \, x + 1\right) - \frac{16}{567} \, \log\left(3 \, x + 2\right)"," ",0,"1/45*x^3 - 13/450*x^2 + 139/3375*x + 1/4375*log(5*x + 1) - 16/567*log(3*x + 2)","A",0
2237,1,25,0,0.889595," ","integrate(x^3/(15*x^2+13*x+2),x, algorithm=""maxima"")","\frac{1}{30} \, x^{2} - \frac{13}{225} \, x - \frac{1}{875} \, \log\left(5 \, x + 1\right) + \frac{8}{189} \, \log\left(3 \, x + 2\right)"," ",0,"1/30*x^2 - 13/225*x - 1/875*log(5*x + 1) + 8/189*log(3*x + 2)","A",0
2238,1,20,0,0.864175," ","integrate(x^2/(15*x^2+13*x+2),x, algorithm=""maxima"")","\frac{1}{15} \, x + \frac{1}{175} \, \log\left(5 \, x + 1\right) - \frac{4}{63} \, \log\left(3 \, x + 2\right)"," ",0,"1/15*x + 1/175*log(5*x + 1) - 4/63*log(3*x + 2)","A",0
2239,1,17,0,0.800508," ","integrate(x/(15*x^2+13*x+2),x, algorithm=""maxima"")","-\frac{1}{35} \, \log\left(5 \, x + 1\right) + \frac{2}{21} \, \log\left(3 \, x + 2\right)"," ",0,"-1/35*log(5*x + 1) + 2/21*log(3*x + 2)","A",0
2240,1,17,0,0.897578," ","integrate(1/(15*x^2+13*x+2),x, algorithm=""maxima"")","\frac{1}{7} \, \log\left(5 \, x + 1\right) - \frac{1}{7} \, \log\left(3 \, x + 2\right)"," ",0,"1/7*log(5*x + 1) - 1/7*log(3*x + 2)","A",0
2241,1,21,0,0.903990," ","integrate(1/x/(15*x^2+13*x+2),x, algorithm=""maxima"")","-\frac{5}{7} \, \log\left(5 \, x + 1\right) + \frac{3}{14} \, \log\left(3 \, x + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-5/7*log(5*x + 1) + 3/14*log(3*x + 2) + 1/2*log(x)","A",0
2242,1,26,0,0.894835," ","integrate(1/x^2/(15*x^2+13*x+2),x, algorithm=""maxima"")","-\frac{1}{2 \, x} + \frac{25}{7} \, \log\left(5 \, x + 1\right) - \frac{9}{28} \, \log\left(3 \, x + 2\right) - \frac{13}{4} \, \log\left(x\right)"," ",0,"-1/2/x + 25/7*log(5*x + 1) - 9/28*log(3*x + 2) - 13/4*log(x)","A",0
2243,1,31,0,0.812955," ","integrate(1/x^3/(15*x^2+13*x+2),x, algorithm=""maxima"")","\frac{13 \, x - 1}{4 \, x^{2}} - \frac{125}{7} \, \log\left(5 \, x + 1\right) + \frac{27}{56} \, \log\left(3 \, x + 2\right) + \frac{139}{8} \, \log\left(x\right)"," ",0,"1/4*(13*x - 1)/x^2 - 125/7*log(5*x + 1) + 27/56*log(3*x + 2) + 139/8*log(x)","A",0
2244,1,36,0,0.872784," ","integrate(1/x^4/(15*x^2+13*x+2),x, algorithm=""maxima"")","-\frac{417 \, x^{2} - 39 \, x + 4}{24 \, x^{3}} + \frac{625}{7} \, \log\left(5 \, x + 1\right) - \frac{81}{112} \, \log\left(3 \, x + 2\right) - \frac{1417}{16} \, \log\left(x\right)"," ",0,"-1/24*(417*x^2 - 39*x + 4)/x^3 + 625/7*log(5*x + 1) - 81/112*log(3*x + 2) - 1417/16*log(x)","A",0
2245,1,30,0,0.804296," ","integrate(x^5/(15*x^3+13*x^2+2*x),x, algorithm=""maxima"")","\frac{1}{45} \, x^{3} - \frac{13}{450} \, x^{2} + \frac{139}{3375} \, x + \frac{1}{4375} \, \log\left(5 \, x + 1\right) - \frac{16}{567} \, \log\left(3 \, x + 2\right)"," ",0,"1/45*x^3 - 13/450*x^2 + 139/3375*x + 1/4375*log(5*x + 1) - 16/567*log(3*x + 2)","A",0
2246,1,25,0,0.842576," ","integrate(x^4/(15*x^3+13*x^2+2*x),x, algorithm=""maxima"")","\frac{1}{30} \, x^{2} - \frac{13}{225} \, x - \frac{1}{875} \, \log\left(5 \, x + 1\right) + \frac{8}{189} \, \log\left(3 \, x + 2\right)"," ",0,"1/30*x^2 - 13/225*x - 1/875*log(5*x + 1) + 8/189*log(3*x + 2)","A",0
2247,1,20,0,0.820841," ","integrate(x^3/(15*x^3+13*x^2+2*x),x, algorithm=""maxima"")","\frac{1}{15} \, x + \frac{1}{175} \, \log\left(5 \, x + 1\right) - \frac{4}{63} \, \log\left(3 \, x + 2\right)"," ",0,"1/15*x + 1/175*log(5*x + 1) - 4/63*log(3*x + 2)","A",0
2248,1,17,0,0.773249," ","integrate(x^2/(15*x^3+13*x^2+2*x),x, algorithm=""maxima"")","-\frac{1}{35} \, \log\left(5 \, x + 1\right) + \frac{2}{21} \, \log\left(3 \, x + 2\right)"," ",0,"-1/35*log(5*x + 1) + 2/21*log(3*x + 2)","A",0
2249,1,17,0,0.843907," ","integrate(x/(15*x^3+13*x^2+2*x),x, algorithm=""maxima"")","\frac{1}{7} \, \log\left(5 \, x + 1\right) - \frac{1}{7} \, \log\left(3 \, x + 2\right)"," ",0,"1/7*log(5*x + 1) - 1/7*log(3*x + 2)","A",0
2250,1,21,0,0.908442," ","integrate(1/(15*x^3+13*x^2+2*x),x, algorithm=""maxima"")","-\frac{5}{7} \, \log\left(5 \, x + 1\right) + \frac{3}{14} \, \log\left(3 \, x + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-5/7*log(5*x + 1) + 3/14*log(3*x + 2) + 1/2*log(x)","A",0
2251,1,26,0,0.870568," ","integrate(1/x/(15*x^3+13*x^2+2*x),x, algorithm=""maxima"")","-\frac{1}{2 \, x} + \frac{25}{7} \, \log\left(5 \, x + 1\right) - \frac{9}{28} \, \log\left(3 \, x + 2\right) - \frac{13}{4} \, \log\left(x\right)"," ",0,"-1/2/x + 25/7*log(5*x + 1) - 9/28*log(3*x + 2) - 13/4*log(x)","A",0
2252,1,31,0,0.901660," ","integrate(1/x^2/(15*x^3+13*x^2+2*x),x, algorithm=""maxima"")","\frac{13 \, x - 1}{4 \, x^{2}} - \frac{125}{7} \, \log\left(5 \, x + 1\right) + \frac{27}{56} \, \log\left(3 \, x + 2\right) + \frac{139}{8} \, \log\left(x\right)"," ",0,"1/4*(13*x - 1)/x^2 - 125/7*log(5*x + 1) + 27/56*log(3*x + 2) + 139/8*log(x)","A",0
2253,1,36,0,0.890593," ","integrate(1/x^3/(15*x^3+13*x^2+2*x),x, algorithm=""maxima"")","-\frac{417 \, x^{2} - 39 \, x + 4}{24 \, x^{3}} + \frac{625}{7} \, \log\left(5 \, x + 1\right) - \frac{81}{112} \, \log\left(3 \, x + 2\right) - \frac{1417}{16} \, \log\left(x\right)"," ",0,"-1/24*(417*x^2 - 39*x + 4)/x^3 + 625/7*log(5*x + 1) - 81/112*log(3*x + 2) - 1417/16*log(x)","A",0
2254,1,12,0,0.929557," ","integrate(x/(x^2+4*x+4),x, algorithm=""maxima"")","\frac{2}{x + 2} + \log\left(x + 2\right)"," ",0,"2/(x + 2) + log(x + 2)","A",0
2255,1,20,0,1.814817," ","integrate(x/(x^2+2*x+5),x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left(\frac{1}{2} \, x + \frac{1}{2}\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x + 5\right)"," ",0,"-1/2*arctan(1/2*x + 1/2) + 1/2*log(x^2 + 2*x + 5)","A",0
2256,1,13,0,0.841961," ","integrate(x/(x^2-5*x+6),x, algorithm=""maxima"")","-2 \, \log\left(x - 2\right) + 3 \, \log\left(x - 3\right)"," ",0,"-2*log(x - 2) + 3*log(x - 3)","A",0
2257,1,22,0,1.888542," ","integrate(x/(x^2+2*x+2)^2,x, algorithm=""maxima"")","-\frac{x + 2}{2 \, {\left(x^{2} + 2 \, x + 2\right)}} - \frac{1}{2} \, \arctan\left(x + 1\right)"," ",0,"-1/2*(x + 2)/(x^2 + 2*x + 2) - 1/2*arctan(x + 1)","A",0
2258,1,54,0,1.937622," ","integrate(x/(x^2+x+1)^3,x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{2 \, x^{3} + 3 \, x^{2} + 4 \, x + 3}{6 \, {\left(x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1\right)}}"," ",0,"-2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*(2*x^3 + 3*x^2 + 4*x + 3)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)","A",0
2259,1,27,0,1.977272," ","integrate(x^2/(x^2+x+1),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + x - \frac{1}{2} \, \log\left(x^{2} + x + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + x - 1/2*log(x^2 + x + 1)","A",0
2260,1,14,0,0.833118," ","integrate(x^2/(x^2-3*x+2),x, algorithm=""maxima"")","x - \log\left(x - 1\right) + 4 \, \log\left(x - 2\right)"," ",0,"x - log(x - 1) + 4*log(x - 2)","A",0
2261,1,14,0,0.894609," ","integrate(x^2/(x^2+x-6),x, algorithm=""maxima"")","x - \frac{9}{5} \, \log\left(x + 3\right) + \frac{4}{5} \, \log\left(x - 2\right)"," ",0,"x - 9/5*log(x + 3) + 4/5*log(x - 2)","A",0
2262,1,15,0,1.894386," ","integrate(x^2/(x^2+2*x+2)^2,x, algorithm=""maxima"")","\frac{1}{x^{2} + 2 \, x + 2} + \arctan\left(x + 1\right)"," ",0,"1/(x^2 + 2*x + 2) + arctan(x + 1)","A",0
2263,1,21,0,0.871653," ","integrate(x^3/(x^2-3*x+2),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + 3 \, x - \log\left(x - 1\right) + 8 \, \log\left(x - 2\right)"," ",0,"1/2*x^2 + 3*x - log(x - 1) + 8*log(x - 2)","A",0
2264,1,20,0,0.763127," ","integrate(x^3/(x^2+2*x+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - 2 \, x + \frac{1}{x + 1} + 3 \, \log\left(x + 1\right)"," ",0,"1/2*x^2 - 2*x + 1/(x + 1) + 3*log(x + 1)","A",0
2265,1,22,0,0.901463," ","integrate(x^3/(x^2-2*x+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + 2 \, x - \frac{1}{x - 1} + 3 \, \log\left(x - 1\right)"," ",0,"1/2*x^2 + 2*x - 1/(x - 1) + 3*log(x - 1)","A",0
2266,1,27,0,0.876629," ","integrate(x^4/(x^2+4*x+4),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} - 2 \, x^{2} + 12 \, x - \frac{16}{x + 2} - 32 \, \log\left(x + 2\right)"," ",0,"1/3*x^3 - 2*x^2 + 12*x - 16/(x + 2) - 32*log(x + 2)","A",0
2267,1,28,0,2.006927," ","integrate(1/x/(x^2+x+1),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{2} \, \log\left(x^{2} + x + 1\right) + \log\left(x\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/2*log(x^2 + x + 1) + log(x)","A",0
2268,1,59,0,0.831870," ","integrate((e*x+d)^(5/2)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} c - 77 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 99 \, {\left(c d^{2} - b d e + a e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{693 \, e^{3}}"," ",0,"2/693*(63*(e*x + d)^(11/2)*c - 77*(2*c*d - b*e)*(e*x + d)^(9/2) + 99*(c*d^2 - b*d*e + a*e^2)*(e*x + d)^(7/2))/e^3","A",0
2269,1,59,0,0.901666," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} c - 45 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 63 \, {\left(c d^{2} - b d e + a e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{315 \, e^{3}}"," ",0,"2/315*(35*(e*x + d)^(9/2)*c - 45*(2*c*d - b*e)*(e*x + d)^(7/2) + 63*(c*d^2 - b*d*e + a*e^2)*(e*x + d)^(5/2))/e^3","A",0
2270,1,59,0,0.864202," ","integrate((c*x^2+b*x+a)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{\frac{7}{2}} c - 21 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(c d^{2} - b d e + a e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{105 \, e^{3}}"," ",0,"2/105*(15*(e*x + d)^(7/2)*c - 21*(2*c*d - b*e)*(e*x + d)^(5/2) + 35*(c*d^2 - b*d*e + a*e^2)*(e*x + d)^(3/2))/e^3","A",0
2271,1,77,0,0.777256," ","integrate((c*x^2+b*x+a)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, \sqrt{e x + d} a + \frac{5 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)} b}{e} + \frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} c}{e^{2}}\right)}}{15 \, e}"," ",0,"2/15*(15*sqrt(e*x + d)*a + 5*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)*b/e + (3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*c/e^2)/e","A",0
2272,1,66,0,0.915012," ","integrate((c*x^2+b*x+a)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} c - 3 \, {\left(2 \, c d - b e\right)} \sqrt{e x + d}}{e^{2}} - \frac{3 \, {\left(c d^{2} - b d e + a e^{2}\right)}}{\sqrt{e x + d} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(((e*x + d)^(3/2)*c - 3*(2*c*d - b*e)*sqrt(e*x + d))/e^2 - 3*(c*d^2 - b*d*e + a*e^2)/(sqrt(e*x + d)*e^2))/e","A",0
2273,1,63,0,0.898291," ","integrate((c*x^2+b*x+a)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, \sqrt{e x + d} c}{e^{2}} - \frac{c d^{2} - b d e + a e^{2} - 3 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{2}}\right)}}{3 \, e}"," ",0,"2/3*(3*sqrt(e*x + d)*c/e^2 - (c*d^2 - b*d*e + a*e^2 - 3*(2*c*d - b*e)*(e*x + d))/((e*x + d)^(3/2)*e^2))/e","A",0
2274,1,56,0,0.861932," ","integrate((c*x^2+b*x+a)/(e*x+d)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{2} c + 3 \, c d^{2} - 3 \, b d e + 3 \, a e^{2} - 5 \, {\left(2 \, c d - b e\right)} {\left(e x + d\right)}\right)}}{15 \, {\left(e x + d\right)}^{\frac{5}{2}} e^{3}}"," ",0,"-2/15*(15*(e*x + d)^2*c + 3*c*d^2 - 3*b*d*e + 3*a*e^2 - 5*(2*c*d - b*e)*(e*x + d))/((e*x + d)^(5/2)*e^3)","A",0
2275,1,176,0,0.828011," ","integrate((e*x+d)^(5/2)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{2} - 6930 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 4095 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 10010 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e - a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 6435 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{45045 \, e^{5}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*c^2 - 6930*(2*c^2*d - b*c*e)*(e*x + d)^(13/2) + 4095*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*(e*x + d)^(11/2) - 10010*(2*c^2*d^3 - 3*b*c*d^2*e - a*b*e^3 + (b^2 + 2*a*c)*d*e^2)*(e*x + d)^(9/2) + 6435*(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*(e*x + d)^(7/2))/e^5","A",0
2276,1,176,0,0.882973," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3465 \, {\left(e x + d\right)}^{\frac{13}{2}} c^{2} - 8190 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 5005 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 12870 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e - a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 9009 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{45045 \, e^{5}}"," ",0,"2/45045*(3465*(e*x + d)^(13/2)*c^2 - 8190*(2*c^2*d - b*c*e)*(e*x + d)^(11/2) + 5005*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*(e*x + d)^(9/2) - 12870*(2*c^2*d^3 - 3*b*c*d^2*e - a*b*e^3 + (b^2 + 2*a*c)*d*e^2)*(e*x + d)^(7/2) + 9009*(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*(e*x + d)^(5/2))/e^5","A",0
2277,1,176,0,0.880586," ","integrate((c*x^2+b*x+a)^2*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{2} - 770 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 1386 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e - a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{3465 \, e^{5}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*c^2 - 770*(2*c^2*d - b*c*e)*(e*x + d)^(9/2) + 495*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*(e*x + d)^(7/2) - 1386*(2*c^2*d^3 - 3*b*c*d^2*e - a*b*e^3 + (b^2 + 2*a*c)*d*e^2)*(e*x + d)^(5/2) + 1155*(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*(e*x + d)^(3/2))/e^5","A",0
2278,1,237,0,0.900522," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, \sqrt{e x + d} a^{2} + 42 \, a {\left(\frac{5 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)} b}{e} + \frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} c}{e^{2}}\right)} + \frac{21 \, {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} b^{2}}{e^{2}} + \frac{18 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} b c}{e^{3}} + \frac{{\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} c^{2}}{e^{4}}\right)}}{315 \, e}"," ",0,"2/315*(315*sqrt(e*x + d)*a^2 + 42*a*(5*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)*b/e + (3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*c/e^2) + 21*(3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*b^2/e^2 + 18*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*b*c/e^3 + (35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*c^2/e^4)/e","A",0
2279,1,184,0,0.832536," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{2} - 42 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 210 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e - a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} \sqrt{e x + d}}{e^{4}} - \frac{105 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)}}{\sqrt{e x + d} e^{4}}\right)}}{105 \, e}"," ",0,"2/105*((15*(e*x + d)^(7/2)*c^2 - 42*(2*c^2*d - b*c*e)*(e*x + d)^(5/2) + 35*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*(e*x + d)^(3/2) - 210*(2*c^2*d^3 - 3*b*c*d^2*e - a*b*e^3 + (b^2 + 2*a*c)*d*e^2)*sqrt(e*x + d))/e^4 - 105*(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)/(sqrt(e*x + d)*e^4))/e","A",0
2280,1,182,0,0.862948," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} c^{2} - 10 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} \sqrt{e x + d}}{e^{4}} - \frac{5 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2} - 6 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e - a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{4}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*c^2 - 10*(2*c^2*d - b*c*e)*(e*x + d)^(3/2) + 15*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*sqrt(e*x + d))/e^4 - 5*(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2 - 6*(2*c^2*d^3 - 3*b*c*d^2*e - a*b*e^3 + (b^2 + 2*a*c)*d*e^2)*(e*x + d))/((e*x + d)^(3/2)*e^4))/e","A",0
2281,1,185,0,0.865429," ","integrate((c*x^2+b*x+a)^2/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} c^{2} - 6 \, {\left(2 \, c^{2} d - b c e\right)} \sqrt{e x + d}\right)}}{e^{4}} - \frac{3 \, c^{2} d^{4} - 6 \, b c d^{3} e - 6 \, a b d e^{3} + 3 \, a^{2} e^{4} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2} + 15 \, {\left(6 \, c^{2} d^{2} - 6 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} {\left(e x + d\right)}^{2} - 10 \, {\left(2 \, c^{2} d^{3} - 3 \, b c d^{2} e - a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{4}}\right)}}{15 \, e}"," ",0,"2/15*(5*((e*x + d)^(3/2)*c^2 - 6*(2*c^2*d - b*c*e)*sqrt(e*x + d))/e^4 - (3*c^2*d^4 - 6*b*c*d^3*e - 6*a*b*d*e^3 + 3*a^2*e^4 + 3*(b^2 + 2*a*c)*d^2*e^2 + 15*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*(e*x + d)^2 - 10*(2*c^2*d^3 - 3*b*c*d^2*e - a*b*e^3 + (b^2 + 2*a*c)*d*e^2)*(e*x + d))/((e*x + d)^(5/2)*e^4))/e","A",0
2282,1,407,0,0.950287," ","integrate((e*x+d)^(5/2)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(255255 \, {\left(e x + d\right)}^{\frac{19}{2}} c^{3} - 855855 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 969969 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 373065 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} - {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 1322685 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d e^{3} + {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 1616615 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e - a^{2} b e^{5} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 692835 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{4849845 \, e^{7}}"," ",0,"2/4849845*(255255*(e*x + d)^(19/2)*c^3 - 855855*(2*c^3*d - b*c^2*e)*(e*x + d)^(17/2) + 969969*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(15/2) - 373065*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*(b^2*c + a*c^2)*d*e^2 - (b^3 + 6*a*b*c)*e^3)*(e*x + d)^(13/2) + 1322685*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*(b^2*c + a*c^2)*d^2*e^2 - (b^3 + 6*a*b*c)*d*e^3 + (a*b^2 + a^2*c)*e^4)*(e*x + d)^(11/2) - 1616615*(2*c^3*d^5 - 5*b*c^2*d^4*e - a^2*b*e^5 + 4*(b^2*c + a*c^2)*d^3*e^2 - (b^3 + 6*a*b*c)*d^2*e^3 + 2*(a*b^2 + a^2*c)*d*e^4)*(e*x + d)^(9/2) + 692835*(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4)*(e*x + d)^(7/2))/e^7","A",0
2283,1,407,0,0.951176," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(15015 \, {\left(e x + d\right)}^{\frac{17}{2}} c^{3} - 51051 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 58905 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 23205 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} - {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 85085 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d e^{3} + {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 109395 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e - a^{2} b e^{5} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 51051 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{255255 \, e^{7}}"," ",0,"2/255255*(15015*(e*x + d)^(17/2)*c^3 - 51051*(2*c^3*d - b*c^2*e)*(e*x + d)^(15/2) + 58905*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(13/2) - 23205*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*(b^2*c + a*c^2)*d*e^2 - (b^3 + 6*a*b*c)*e^3)*(e*x + d)^(11/2) + 85085*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*(b^2*c + a*c^2)*d^2*e^2 - (b^3 + 6*a*b*c)*d*e^3 + (a*b^2 + a^2*c)*e^4)*(e*x + d)^(9/2) - 109395*(2*c^3*d^5 - 5*b*c^2*d^4*e - a^2*b*e^5 + 4*(b^2*c + a*c^2)*d^3*e^2 - (b^3 + 6*a*b*c)*d^2*e^3 + 2*(a*b^2 + a^2*c)*d*e^4)*(e*x + d)^(7/2) + 51051*(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4)*(e*x + d)^(5/2))/e^7","A",0
2284,1,407,0,0.927140," ","integrate((c*x^2+b*x+a)^3*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{3} - 10395 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 12285 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 5005 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} - {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 19305 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d e^{3} + {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 27027 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e - a^{2} b e^{5} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 15015 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{45045 \, e^{7}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*c^3 - 10395*(2*c^3*d - b*c^2*e)*(e*x + d)^(13/2) + 12285*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(11/2) - 5005*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*(b^2*c + a*c^2)*d*e^2 - (b^3 + 6*a*b*c)*e^3)*(e*x + d)^(9/2) + 19305*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*(b^2*c + a*c^2)*d^2*e^2 - (b^3 + 6*a*b*c)*d*e^3 + (a*b^2 + a^2*c)*e^4)*(e*x + d)^(7/2) - 27027*(2*c^3*d^5 - 5*b*c^2*d^4*e - a^2*b*e^5 + 4*(b^2*c + a*c^2)*d^3*e^2 - (b^3 + 6*a*b*c)*d^2*e^3 + 2*(a*b^2 + a^2*c)*d*e^4)*(e*x + d)^(5/2) + 15015*(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4)*(e*x + d)^(3/2))/e^7","A",0
2285,1,525,0,0.959216," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15015 \, \sqrt{e x + d} a^{3} + 3003 \, a^{2} {\left(\frac{5 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x + d} d\right)} b}{e} + \frac{{\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} c}{e^{2}}\right)} + 143 \, a {\left(\frac{21 \, {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x + d} d^{2}\right)} b^{2}}{e^{2}} + \frac{18 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} b c}{e^{3}} + \frac{{\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} c^{2}}{e^{4}}\right)} + \frac{429 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x + d} d^{3}\right)} b^{3}}{e^{3}} + \frac{143 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x + d} d^{4}\right)} b^{2} c}{e^{4}} + \frac{65 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} - 385 \, {\left(e x + d\right)}^{\frac{9}{2}} d + 990 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{e x + d} d^{5}\right)} b c^{2}}{e^{5}} + \frac{5 \, {\left(231 \, {\left(e x + d\right)}^{\frac{13}{2}} - 1638 \, {\left(e x + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(e x + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{e x + d} d^{6}\right)} c^{3}}{e^{6}}\right)}}{15015 \, e}"," ",0,"2/15015*(15015*sqrt(e*x + d)*a^3 + 3003*a^2*(5*((e*x + d)^(3/2) - 3*sqrt(e*x + d)*d)*b/e + (3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*c/e^2) + 143*a*(21*(3*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d + 15*sqrt(e*x + d)*d^2)*b^2/e^2 + 18*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*b*c/e^3 + (35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*c^2/e^4) + 429*(5*(e*x + d)^(7/2) - 21*(e*x + d)^(5/2)*d + 35*(e*x + d)^(3/2)*d^2 - 35*sqrt(e*x + d)*d^3)*b^3/e^3 + 143*(35*(e*x + d)^(9/2) - 180*(e*x + d)^(7/2)*d + 378*(e*x + d)^(5/2)*d^2 - 420*(e*x + d)^(3/2)*d^3 + 315*sqrt(e*x + d)*d^4)*b^2*c/e^4 + 65*(63*(e*x + d)^(11/2) - 385*(e*x + d)^(9/2)*d + 990*(e*x + d)^(7/2)*d^2 - 1386*(e*x + d)^(5/2)*d^3 + 1155*(e*x + d)^(3/2)*d^4 - 693*sqrt(e*x + d)*d^5)*b*c^2/e^5 + 5*(231*(e*x + d)^(13/2) - 1638*(e*x + d)^(11/2)*d + 5005*(e*x + d)^(9/2)*d^2 - 8580*(e*x + d)^(7/2)*d^3 + 9009*(e*x + d)^(5/2)*d^4 - 6006*(e*x + d)^(3/2)*d^5 + 3003*sqrt(e*x + d)*d^6)*c^3/e^6)/e","B",0
2286,1,415,0,0.949502," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{105 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{3} - 385 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 231 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} - {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d e^{3} + {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 3465 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e - a^{2} b e^{5} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{4}\right)} \sqrt{e x + d}}{e^{6}} - \frac{1155 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)}}{\sqrt{e x + d} e^{6}}\right)}}{1155 \, e}"," ",0,"2/1155*((105*(e*x + d)^(11/2)*c^3 - 385*(2*c^3*d - b*c^2*e)*(e*x + d)^(9/2) + 495*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(7/2) - 231*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*(b^2*c + a*c^2)*d*e^2 - (b^3 + 6*a*b*c)*e^3)*(e*x + d)^(5/2) + 1155*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*(b^2*c + a*c^2)*d^2*e^2 - (b^3 + 6*a*b*c)*d*e^3 + (a*b^2 + a^2*c)*e^4)*(e*x + d)^(3/2) - 3465*(2*c^3*d^5 - 5*b*c^2*d^4*e - a^2*b*e^5 + 4*(b^2*c + a*c^2)*d^3*e^2 - (b^3 + 6*a*b*c)*d^2*e^3 + 2*(a*b^2 + a^2*c)*d*e^4)*sqrt(e*x + d))/e^6 - 1155*(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4)/(sqrt(e*x + d)*e^6))/e","A",0
2287,1,413,0,0.973941," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}} c^{3} - 135 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 189 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 105 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} - {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 945 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d e^{3} + {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} \sqrt{e x + d}}{e^{6}} - \frac{105 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} - 9 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e - a^{2} b e^{5} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{4}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{6}}\right)}}{315 \, e}"," ",0,"2/315*((35*(e*x + d)^(9/2)*c^3 - 135*(2*c^3*d - b*c^2*e)*(e*x + d)^(7/2) + 189*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(5/2) - 105*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*(b^2*c + a*c^2)*d*e^2 - (b^3 + 6*a*b*c)*e^3)*(e*x + d)^(3/2) + 945*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*(b^2*c + a*c^2)*d^2*e^2 - (b^3 + 6*a*b*c)*d*e^3 + (a*b^2 + a^2*c)*e^4)*sqrt(e*x + d))/e^6 - 105*(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4 - 9*(2*c^3*d^5 - 5*b*c^2*d^4*e - a^2*b*e^5 + 4*(b^2*c + a*c^2)*d^3*e^2 - (b^3 + 6*a*b*c)*d^2*e^3 + 2*(a*b^2 + a^2*c)*d*e^4)*(e*x + d))/((e*x + d)^(3/2)*e^6))/e","A",0
2288,1,413,0,0.897619," ","integrate((c*x^2+b*x+a)^3/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{3} - 21 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(5 \, c^{3} d^{2} - 5 \, b c^{2} d e + {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 35 \, {\left(20 \, c^{3} d^{3} - 30 \, b c^{2} d^{2} e + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} - {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} \sqrt{e x + d}}{e^{6}} - \frac{7 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4} + 15 \, {\left(5 \, c^{3} d^{4} - 10 \, b c^{2} d^{3} e + 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d e^{3} + {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(2 \, c^{3} d^{5} - 5 \, b c^{2} d^{4} e - a^{2} b e^{5} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{4}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{6}}\right)}}{35 \, e}"," ",0,"2/35*((5*(e*x + d)^(7/2)*c^3 - 21*(2*c^3*d - b*c^2*e)*(e*x + d)^(5/2) + 35*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(3/2) - 35*(20*c^3*d^3 - 30*b*c^2*d^2*e + 12*(b^2*c + a*c^2)*d*e^2 - (b^3 + 6*a*b*c)*e^3)*sqrt(e*x + d))/e^6 - 7*(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4 + 15*(5*c^3*d^4 - 10*b*c^2*d^3*e + 6*(b^2*c + a*c^2)*d^2*e^2 - (b^3 + 6*a*b*c)*d*e^3 + (a*b^2 + a^2*c)*e^4)*(e*x + d)^2 - 5*(2*c^3*d^5 - 5*b*c^2*d^4*e - a^2*b*e^5 + 4*(b^2*c + a*c^2)*d^3*e^2 - (b^3 + 6*a*b*c)*d^2*e^3 + 2*(a*b^2 + a^2*c)*d*e^4)*(e*x + d))/((e*x + d)^(5/2)*e^6))/e","A",0
2289,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + b*x + a), x)","F",0
2290,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + b*x + a), x)","F",0
2291,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + b*x + a), x)","F",0
2292,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)*sqrt(e*x + d)), x)","F",0
2293,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)*(e*x + d)^(3/2)), x)","F",0
2294,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)*(e*x + d)^(5/2)), x)","F",0
2295,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + b*x + a)^2, x)","F",0
2296,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + b*x + a)^2, x)","F",0
2297,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + b*x + a)^2, x)","F",0
2298,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + b*x + a)^2, x)","F",0
2299,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{2} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^2*sqrt(e*x + d)), x)","F",0
2300,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{2} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^2*(e*x + d)^(3/2)), x)","F",0
2301,0,0,0,0.000000," ","integrate(1/x^(5/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{3 \, {\left(5 \, b^{4} c - 24 \, a b^{2} c^{2} + 14 \, a^{2} c^{3}\right)} x^{\frac{5}{2}} + 3 \, {\left(5 \, b^{5} - 19 \, a b^{3} c - 5 \, a^{2} b c^{2}\right)} x^{\frac{3}{2}} + 2 \, {\left(15 \, a b^{4} - 67 \, a^{2} b^{2} c + 28 \, a^{3} c^{2}\right)} \sqrt{x} + \frac{10 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)}}{\sqrt{x}} - \frac{2 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)}}{x^{\frac{3}{2}}}}{3 \, {\left(a^{5} b^{2} - 4 \, a^{6} c + {\left(a^{4} b^{2} c - 4 \, a^{5} c^{2}\right)} x^{2} + {\left(a^{4} b^{3} - 4 \, a^{5} b c\right)} x\right)}} + \int -\frac{{\left(5 \, b^{4} c - 24 \, a b^{2} c^{2} + 14 \, a^{2} c^{3}\right)} x^{\frac{3}{2}} + {\left(5 \, b^{5} - 29 \, a b^{3} c + 33 \, a^{2} b c^{2}\right)} \sqrt{x}}{2 \, {\left(a^{5} b^{2} - 4 \, a^{6} c + {\left(a^{4} b^{2} c - 4 \, a^{5} c^{2}\right)} x^{2} + {\left(a^{4} b^{3} - 4 \, a^{5} b c\right)} x\right)}}\,{d x}"," ",0,"1/3*(3*(5*b^4*c - 24*a*b^2*c^2 + 14*a^2*c^3)*x^(5/2) + 3*(5*b^5 - 19*a*b^3*c - 5*a^2*b*c^2)*x^(3/2) + 2*(15*a*b^4 - 67*a^2*b^2*c + 28*a^3*c^2)*sqrt(x) + 10*(a^2*b^3 - 4*a^3*b*c)/sqrt(x) - 2*(a^3*b^2 - 4*a^4*c)/x^(3/2))/(a^5*b^2 - 4*a^6*c + (a^4*b^2*c - 4*a^5*c^2)*x^2 + (a^4*b^3 - 4*a^5*b*c)*x) + integrate(-1/2*((5*b^4*c - 24*a*b^2*c^2 + 14*a^2*c^3)*x^(3/2) + (5*b^5 - 29*a*b^3*c + 33*a^2*b*c^2)*sqrt(x))/(a^5*b^2 - 4*a^6*c + (a^4*b^2*c - 4*a^5*c^2)*x^2 + (a^4*b^3 - 4*a^5*b*c)*x), x)","F",0
2302,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + b*x + a)^3, x)","F",0
2303,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + b*x + a)^3, x)","F",0
2304,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + b*x + a)^3, x)","F",0
2305,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + b*x + a)^3, x)","F",0
2306,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{3} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^3*sqrt(e*x + d)), x)","F",0
2307,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(a+I*b*x+c*x^2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{c x^{2} + i \, b x + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + I*b*x + a), x)","F",0
2308,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(a+I*b*x+c*x^2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + i \, b x + a\right)} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + I*b*x + a)*sqrt(e*x + d)), x)","F",0
2309,0,0,0,0.000000," ","integrate((1+2*x)^(7/2)/(5*x^2+3*x+2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{7}{2}}}{5 \, x^{2} + 3 \, x + 2}\,{d x}"," ",0,"integrate((2*x + 1)^(7/2)/(5*x^2 + 3*x + 2), x)","F",0
2310,0,0,0,0.000000," ","integrate((1+2*x)^(5/2)/(5*x^2+3*x+2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{5}{2}}}{5 \, x^{2} + 3 \, x + 2}\,{d x}"," ",0,"integrate((2*x + 1)^(5/2)/(5*x^2 + 3*x + 2), x)","F",0
2311,0,0,0,0.000000," ","integrate((1+2*x)^(3/2)/(5*x^2+3*x+2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{3}{2}}}{5 \, x^{2} + 3 \, x + 2}\,{d x}"," ",0,"integrate((2*x + 1)^(3/2)/(5*x^2 + 3*x + 2), x)","F",0
2312,0,0,0,0.000000," ","integrate((1+2*x)^(1/2)/(5*x^2+3*x+2),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x + 1}}{5 \, x^{2} + 3 \, x + 2}\,{d x}"," ",0,"integrate(sqrt(2*x + 1)/(5*x^2 + 3*x + 2), x)","F",0
2313,0,0,0,0.000000," ","integrate(1/(1+2*x)^(1/2)/(5*x^2+3*x+2),x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x^{2} + 3 \, x + 2\right)} \sqrt{2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x^2 + 3*x + 2)*sqrt(2*x + 1)), x)","F",0
2314,0,0,0,0.000000," ","integrate(1/(1+2*x)^(3/2)/(5*x^2+3*x+2),x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x^{2} + 3 \, x + 2\right)} {\left(2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((5*x^2 + 3*x + 2)*(2*x + 1)^(3/2)), x)","F",0
2315,0,0,0,0.000000," ","integrate(1/(1+2*x)^(5/2)/(5*x^2+3*x+2),x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x^{2} + 3 \, x + 2\right)} {\left(2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((5*x^2 + 3*x + 2)*(2*x + 1)^(5/2)), x)","F",0
2316,0,0,0,0.000000," ","integrate((1+2*x)^(7/2)/(5*x^2+3*x+2)^2,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{7}{2}}}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate((2*x + 1)^(7/2)/(5*x^2 + 3*x + 2)^2, x)","F",0
2317,0,0,0,0.000000," ","integrate((1+2*x)^(5/2)/(5*x^2+3*x+2)^2,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate((2*x + 1)^(5/2)/(5*x^2 + 3*x + 2)^2, x)","F",0
2318,0,0,0,0.000000," ","integrate((1+2*x)^(3/2)/(5*x^2+3*x+2)^2,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate((2*x + 1)^(3/2)/(5*x^2 + 3*x + 2)^2, x)","F",0
2319,0,0,0,0.000000," ","integrate((1+2*x)^(1/2)/(5*x^2+3*x+2)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x + 1}}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(2*x + 1)/(5*x^2 + 3*x + 2)^2, x)","F",0
2320,0,0,0,0.000000," ","integrate(1/(1+2*x)^(1/2)/(5*x^2+3*x+2)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{2} \sqrt{2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x^2 + 3*x + 2)^2*sqrt(2*x + 1)), x)","F",0
2321,0,0,0,0.000000," ","integrate(1/(1+2*x)^(3/2)/(5*x^2+3*x+2)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{2} {\left(2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((5*x^2 + 3*x + 2)^2*(2*x + 1)^(3/2)), x)","F",0
2322,0,0,0,0.000000," ","integrate(1/(1+2*x)^(5/2)/(5*x^2+3*x+2)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{2} {\left(2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((5*x^2 + 3*x + 2)^2*(2*x + 1)^(5/2)), x)","F",0
2323,0,0,0,0.000000," ","integrate((1+2*x)^(9/2)/(5*x^2+3*x+2)^3,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{9}{2}}}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{3}}\,{d x}"," ",0,"integrate((2*x + 1)^(9/2)/(5*x^2 + 3*x + 2)^3, x)","F",0
2324,0,0,0,0.000000," ","integrate((1+2*x)^(7/2)/(5*x^2+3*x+2)^3,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{7}{2}}}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{3}}\,{d x}"," ",0,"integrate((2*x + 1)^(7/2)/(5*x^2 + 3*x + 2)^3, x)","F",0
2325,0,0,0,0.000000," ","integrate((1+2*x)^(5/2)/(5*x^2+3*x+2)^3,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{3}}\,{d x}"," ",0,"integrate((2*x + 1)^(5/2)/(5*x^2 + 3*x + 2)^3, x)","F",0
2326,0,0,0,0.000000," ","integrate((1+2*x)^(3/2)/(5*x^2+3*x+2)^3,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{3}}\,{d x}"," ",0,"integrate((2*x + 1)^(3/2)/(5*x^2 + 3*x + 2)^3, x)","F",0
2327,0,0,0,0.000000," ","integrate((1+2*x)^(1/2)/(5*x^2+3*x+2)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x + 1}}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(2*x + 1)/(5*x^2 + 3*x + 2)^3, x)","F",0
2328,0,0,0,0.000000," ","integrate(1/(1+2*x)^(1/2)/(5*x^2+3*x+2)^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{3} \sqrt{2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x^2 + 3*x + 2)^3*sqrt(2*x + 1)), x)","F",0
2329,0,0,0,0.000000," ","integrate(1/(1+2*x)^(3/2)/(5*x^2+3*x+2)^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x^{2} + 3 \, x + 2\right)}^{3} {\left(2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((5*x^2 + 3*x + 2)^3*(2*x + 1)^(3/2)), x)","F",0
2330,0,0,0,0.000000," ","integrate(x^(9/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(b^{3} c - 8 \, a b c^{2}\right)} x^{\frac{9}{2}} + {\left(b^{4} - 11 \, a b^{2} c - 44 \, a^{2} c^{2}\right)} x^{\frac{7}{2}} + 2 \, {\left(a b^{3} - 22 \, a^{2} b c\right)} x^{\frac{5}{2}} + {\left(a^{2} b^{2} - 28 \, a^{3} c\right)} x^{\frac{3}{2}}}{4 \, {\left(a^{2} b^{4} c - 8 \, a^{3} b^{2} c^{2} + 16 \, a^{4} c^{3} + {\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} x^{4} + 2 \, {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} x^{3} + {\left(b^{6} c - 6 \, a b^{4} c^{2} + 32 \, a^{3} c^{4}\right)} x^{2} + 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} x\right)}} + \int -\frac{3 \, {\left({\left(b^{3} - 8 \, a b c\right)} x^{\frac{3}{2}} + {\left(a b^{2} - 28 \, a^{2} c\right)} \sqrt{x}\right)}}{8 \, {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3} + {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{2} + {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} x\right)}}\,{d x}"," ",0,"1/4*(3*(b^3*c - 8*a*b*c^2)*x^(9/2) + (b^4 - 11*a*b^2*c - 44*a^2*c^2)*x^(7/2) + 2*(a*b^3 - 22*a^2*b*c)*x^(5/2) + (a^2*b^2 - 28*a^3*c)*x^(3/2))/(a^2*b^4*c - 8*a^3*b^2*c^2 + 16*a^4*c^3 + (b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*x^4 + 2*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*x^3 + (b^6*c - 6*a*b^4*c^2 + 32*a^3*c^4)*x^2 + 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*x) + integrate(-3/8*((b^3 - 8*a*b*c)*x^(3/2) + (a*b^2 - 28*a^2*c)*sqrt(x))/(a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3 + (b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*x^2 + (b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*x), x)","F",0
2331,-2,0,0,0.000000," ","integrate(1/x^(3/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
2332,1,16,0,0.896136," ","integrate((x^2-x+3)/x^(1/3),x, algorithm=""maxima"")","\frac{3}{8} \, x^{\frac{8}{3}} - \frac{3}{5} \, x^{\frac{5}{3}} + \frac{9}{2} \, x^{\frac{2}{3}}"," ",0,"3/8*x^(8/3) - 3/5*x^(5/3) + 9/2*x^(2/3)","A",0
2333,-2,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2334,-2,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2335,-2,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2336,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2337,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2338,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2339,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2340,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2341,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2342,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2343,-2,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2344,-2,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2345,-2,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2346,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2347,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2348,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2349,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2350,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2351,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2352,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2353,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^7,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2354,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^8,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2355,-2,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2356,-2,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2357,-2,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2358,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2359,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2360,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2361,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2362,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2363,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
2364,1,60,0,1.875038," ","integrate((5*x^2-3*x-2)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{2} \arcsin\left(\frac{3 \, x}{7 \, {\left| x \right|}} + \frac{4}{7 \, {\left| x \right|}}\right) - \frac{3}{10} \, \sqrt{5} \log\left(2 \, \sqrt{5} \sqrt{5 \, x^{2} - 3 \, x - 2} + 10 \, x - 3\right) + \sqrt{5 \, x^{2} - 3 \, x - 2}"," ",0,"sqrt(2)*arcsin(3/7*x/abs(x) + 4/7/abs(x)) - 3/10*sqrt(5)*log(2*sqrt(5)*sqrt(5*x^2 - 3*x - 2) + 10*x - 3) + sqrt(5*x^2 - 3*x - 2)","A",0
2365,1,59,0,1.825617," ","integrate((-x^2-x+2)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{2 \, \sqrt{2} \sqrt{-x^{2} - x + 2}}{{\left| x \right|}} + \frac{4}{{\left| x \right|}} - 1\right) - \frac{\sqrt{-x^{2} - x + 2}}{x} + \arcsin\left(-\frac{2}{3} \, x - \frac{1}{3}\right)"," ",0,"1/4*sqrt(2)*log(2*sqrt(2)*sqrt(-x^2 - x + 2)/abs(x) + 4/abs(x) - 1) - sqrt(-x^2 - x + 2)/x + arcsin(-2/3*x - 1/3)","A",0
2366,1,41,0,1.856403," ","integrate((1+x)^3*(x^2+2*x+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{5} \, {\left(x^{2} + 2 \, x + 2\right)}^{\frac{3}{2}} x^{2} + \frac{2}{5} \, {\left(x^{2} + 2 \, x + 2\right)}^{\frac{3}{2}} x + \frac{1}{15} \, {\left(x^{2} + 2 \, x + 2\right)}^{\frac{3}{2}}"," ",0,"1/5*(x^2 + 2*x + 2)^(3/2)*x^2 + 2/5*(x^2 + 2*x + 2)^(3/2)*x + 1/15*(x^2 + 2*x + 2)^(3/2)","A",0
2367,1,52,0,1.868939," ","integrate((-2+3*x)*(9*x^2+12*x+8)^(1/2),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(9 \, x^{2} + 12 \, x + 8\right)}^{\frac{3}{2}} - 2 \, \sqrt{9 \, x^{2} + 12 \, x + 8} x - \frac{4}{3} \, \sqrt{9 \, x^{2} + 12 \, x + 8} - \frac{8}{3} \, \operatorname{arsinh}\left(\frac{3}{2} \, x + 1\right)"," ",0,"1/9*(9*x^2 + 12*x + 8)^(3/2) - 2*sqrt(9*x^2 + 12*x + 8)*x - 4/3*sqrt(9*x^2 + 12*x + 8) - 8/3*arcsinh(3/2*x + 1)","A",0
2368,1,52,0,1.879431," ","integrate((7-2*x)*(-4*x^2+16*x+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(-4 \, x^{2} + 16 \, x + 9\right)}^{\frac{3}{2}} + \frac{3}{2} \, \sqrt{-4 \, x^{2} + 16 \, x + 9} x - 3 \, \sqrt{-4 \, x^{2} + 16 \, x + 9} - \frac{75}{4} \, \arcsin\left(-\frac{2}{5} \, x + \frac{4}{5}\right)"," ",0,"1/6*(-4*x^2 + 16*x + 9)^(3/2) + 3/2*sqrt(-4*x^2 + 16*x + 9)*x - 3*sqrt(-4*x^2 + 16*x + 9) - 75/4*arcsin(-2/5*x + 4/5)","A",0
2369,1,62,0,0.911166," ","integrate((x^2-x-1)^(1/2)/(1+x),x, algorithm=""maxima"")","\sqrt{x^{2} - x - 1} - \frac{3}{2} \, \log\left(2 \, x + 2 \, \sqrt{x^{2} - x - 1} - 1\right) - \log\left(\frac{2 \, \sqrt{x^{2} - x - 1}}{{\left| x + 1 \right|}} + \frac{2}{{\left| x + 1 \right|}} - 3\right)"," ",0,"sqrt(x^2 - x - 1) - 3/2*log(2*x + 2*sqrt(x^2 - x - 1) - 1) - log(2*sqrt(x^2 - x - 1)/abs(x + 1) + 2/abs(x + 1) - 3)","A",0
2370,1,58,0,2.003898," ","integrate((x^2-x-1)^(1/2)/(1-x),x, algorithm=""maxima"")","-\sqrt{x^{2} - x - 1} + \arcsin\left(\frac{\sqrt{5} x}{5 \, {\left| x - 1 \right|}} - \frac{3 \, \sqrt{5}}{5 \, {\left| x - 1 \right|}}\right) - \frac{1}{2} \, \log\left(2 \, x + 2 \, \sqrt{x^{2} - x - 1} - 1\right)"," ",0,"-sqrt(x^2 - x - 1) + arcsin(1/5*sqrt(5)*x/abs(x - 1) - 3/5*sqrt(5)/abs(x - 1)) - 1/2*log(2*x + 2*sqrt(x^2 - x - 1) - 1)","A",0
2371,-2,0,0,0.000000," ","integrate(x^6/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2372,-2,0,0,0.000000," ","integrate(x^5/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2373,-2,0,0,0.000000," ","integrate((e*x+d)^4/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2374,-2,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2375,-2,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2376,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2377,-2,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2378,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2379,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2380,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2381,-2,0,0,0.000000," ","integrate(1/(e*x+d)^4/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2382,-2,0,0,0.000000," ","integrate((e*x+d)^4/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2383,-2,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2384,-2,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2385,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2386,-2,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2387,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2388,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2389,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2390,-2,0,0,0.000000," ","integrate(1/(e*x+d)^4/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2391,-2,0,0,0.000000," ","integrate((e*x+d)^5/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2392,-2,0,0,0.000000," ","integrate((e*x+d)^4/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2393,-2,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2394,-2,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2395,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2396,-2,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2397,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2398,-2,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2399,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
2400,1,23,0,2.003547," ","integrate((3+x)/(-x^2-4*x+5)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} - 4 \, x + 5} - \arcsin\left(-\frac{1}{3} \, x - \frac{2}{3}\right)"," ",0,"-sqrt(-x^2 - 4*x + 5) - arcsin(-1/3*x - 2/3)","A",0
2401,1,23,0,1.900510," ","integrate(1/2*(5-4*x)/(-x^2+3*x-2)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{-x^{2} + 3 \, x - 2} - \frac{1}{2} \, \arcsin\left(2 \, x - 3\right)"," ",0,"2*sqrt(-x^2 + 3*x - 2) - 1/2*arcsin(2*x - 3)","A",0
2402,1,19,0,1.886590," ","integrate((3+2*x)/(x^2+2*x+5)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x^{2} + 2 \, x + 5} + \operatorname{arsinh}\left(\frac{1}{2} \, x + \frac{1}{2}\right)"," ",0,"2*sqrt(x^2 + 2*x + 5) + arcsinh(1/2*x + 1/2)","A",0
2403,1,29,0,0.888471," ","integrate((-1+x)/(x^2-4*x+3)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} - 4 \, x + 3} + \log\left(2 \, x + 2 \, \sqrt{x^{2} - 4 \, x + 3} - 4\right)"," ",0,"sqrt(x^2 - 4*x + 3) + log(2*x + 2*sqrt(x^2 - 4*x + 3) - 4)","A",0
2404,1,27,0,1.986418," ","integrate(1/(1-x)/(x^2+2*x-4)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(\frac{2 \, \sqrt{5} x}{5 \, {\left| x - 1 \right|}} - \frac{3 \, \sqrt{5}}{5 \, {\left| x - 1 \right|}}\right)"," ",0,"-arcsin(2/5*sqrt(5)*x/abs(x - 1) - 3/5*sqrt(5)/abs(x - 1))","A",0
2405,1,9,0,1.943646," ","integrate(1/(-2+x)/(x^2-4*x+3)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(\frac{1}{{\left| x - 2 \right|}}\right)"," ",0,"-arcsin(1/abs(x - 2))","A",0
2406,1,26,0,0.912564," ","integrate((1+x)/(x^2+3*x+2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, x}{\sqrt{x^{2} + 3 \, x + 2}} + \frac{2}{\sqrt{x^{2} + 3 \, x + 2}}"," ",0,"2*x/sqrt(x^2 + 3*x + 2) + 2/sqrt(x^2 + 3*x + 2)","A",0
2407,-2,0,0,0.000000," ","integrate(2/(e*x+d)/(1/c*b^2+4*b*x+4*c*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2408,-2,0,0,0.000000," ","integrate(1/(1/2*b*e/c+e*x)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2409,-2,0,0,0.000000," ","integrate(1/(e*x+d)/((b*d*e-c*d^2)/e^2+b*x+c*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2410,1,18,0,0.907648," ","integrate(2/(1/2*b*e/c+e*x)/(1/c*b^2+4*b*x+4*c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{2}{2 \, \sqrt{c} e x + \frac{b e}{\sqrt{c}}}"," ",0,"-2/(2*sqrt(c)*e*x + b*e/sqrt(c))","A",0
2411,1,31,0,1.772758," ","integrate(x/(3*x^2+4*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 2\right)}\right) + \frac{1}{3} \, \sqrt{3 \, x^{2} + 4 \, x + 2}"," ",0,"-2/9*sqrt(3)*arcsinh(1/2*sqrt(2)*(3*x + 2)) + 1/3*sqrt(3*x^2 + 4*x + 2)","A",0
2412,1,31,0,1.889752," ","integrate(x/(-3*x^2+4*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \arcsin\left(-\frac{1}{10} \, \sqrt{10} {\left(3 \, x - 2\right)}\right) - \frac{1}{3} \, \sqrt{-3 \, x^{2} + 4 \, x + 2}"," ",0,"-2/9*sqrt(3)*arcsin(-1/10*sqrt(10)*(3*x - 2)) - 1/3*sqrt(-3*x^2 + 4*x + 2)","A",0
2413,1,43,0,1.966671," ","integrate(x/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{5}{18} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{1}{3} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-5/18*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 1/3*sqrt(3*x^2 + 5*x + 2)","A",0
2414,1,26,0,1.976434," ","integrate(x/(-3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{5}{18} \, \sqrt{3} \arcsin\left(-\frac{6}{7} \, x + \frac{5}{7}\right) - \frac{1}{3} \, \sqrt{-3 \, x^{2} + 5 \, x + 2}"," ",0,"-5/18*sqrt(3)*arcsin(-6/7*x + 5/7) - 1/3*sqrt(-3*x^2 + 5*x + 2)","A",0
2415,1,43,0,1.975769," ","integrate(x/(3*x^2+4*x-2)^(1/2),x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 4 \, x - 2} + 6 \, x + 4\right) + \frac{1}{3} \, \sqrt{3 \, x^{2} + 4 \, x - 2}"," ",0,"-2/9*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 4*x - 2) + 6*x + 4) + 1/3*sqrt(3*x^2 + 4*x - 2)","A",0
2416,1,31,0,2.011178," ","integrate(x/(-3*x^2+4*x-2)^(1/2),x, algorithm=""maxima"")","-\frac{2}{9} i \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x - 2\right)}\right) - \frac{1}{3} \, \sqrt{-3 \, x^{2} + 4 \, x - 2}"," ",0,"-2/9*I*sqrt(3)*arcsinh(1/2*sqrt(2)*(3*x - 2)) - 1/3*sqrt(-3*x^2 + 4*x - 2)","C",0
2417,1,43,0,1.941227," ","integrate(x/(3*x^2+5*x-2)^(1/2),x, algorithm=""maxima"")","-\frac{5}{18} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x - 2} + 6 \, x + 5\right) + \frac{1}{3} \, \sqrt{3 \, x^{2} + 5 \, x - 2}"," ",0,"-5/18*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x - 2) + 6*x + 5) + 1/3*sqrt(3*x^2 + 5*x - 2)","A",0
2418,1,26,0,1.854110," ","integrate(x/(-3*x^2+5*x-2)^(1/2),x, algorithm=""maxima"")","\frac{5}{18} \, \sqrt{3} \arcsin\left(6 \, x - 5\right) - \frac{1}{3} \, \sqrt{-3 \, x^{2} + 5 \, x - 2}"," ",0,"5/18*sqrt(3)*arcsin(6*x - 5) - 1/3*sqrt(-3*x^2 + 5*x - 2)","A",0
2419,1,24,0,1.950241," ","integrate(1/x/((2+3*x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \left(-1\right)^{12 \, x + 8} \log\left(\frac{12 \, x}{{\left| x \right|}} + \frac{8}{{\left| x \right|}}\right)"," ",0,"-1/2*(-1)^(12*x + 8)*log(12*x/abs(x) + 8/abs(x))","A",0
2420,1,24,0,2.017240," ","integrate(1/x/((-2+3*x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \left(-1\right)^{-12 \, x + 8} \log\left(-\frac{12 \, x}{{\left| x \right|}} + \frac{8}{{\left| x \right|}}\right)"," ",0,"-1/2*(-1)^(-12*x + 8)*log(-12*x/abs(x) + 8/abs(x))","A",0
2421,1,24,0,1.997371," ","integrate(1/x/(-(-2+3*x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} i \, \left(-1\right)^{-12 \, x + 8} \log\left(-\frac{12 \, x}{{\left| x \right|}} + \frac{8}{{\left| x \right|}}\right)"," ",0,"-1/2*I*(-1)^(-12*x + 8)*log(-12*x/abs(x) + 8/abs(x))","C",0
2422,1,24,0,1.949522," ","integrate(1/x/(-(2+3*x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} i \, \left(-1\right)^{12 \, x + 8} \log\left(\frac{12 \, x}{{\left| x \right|}} + \frac{8}{{\left| x \right|}}\right)"," ",0,"-1/2*I*(-1)^(12*x + 8)*log(12*x/abs(x) + 8/abs(x))","C",0
2423,1,38,0,0.814650," ","integrate(1/x/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a","A",0
2424,1,38,0,0.813810," ","integrate(1/x/((b*x-a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{-2 \, a b x + 2 \, a^{2}} \log\left(-\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a}"," ",0,"-(-1)^(-2*a*b*x + 2*a^2)*log(-2*a*b*x/abs(x) + 2*a^2/abs(x))/a","A",0
2425,1,38,0,0.885545," ","integrate(1/x/(-(b*x-a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{i \, \left(-1\right)^{-2 \, a b x + 2 \, a^{2}} \log\left(-\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a}"," ",0,"-I*(-1)^(-2*a*b*x + 2*a^2)*log(-2*a*b*x/abs(x) + 2*a^2/abs(x))/a","C",0
2426,1,38,0,0.915830," ","integrate(1/x/(-(b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{i \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a}"," ",0,"-I*(-1)^(2*a*b*x + 2*a^2)*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a","C",0
2427,1,52,0,1.977802," ","integrate(x*(-x^2-2*x+3)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(-x^{2} - 2 \, x + 3\right)}^{\frac{3}{2}} - \frac{1}{2} \, \sqrt{-x^{2} - 2 \, x + 3} x - \frac{1}{2} \, \sqrt{-x^{2} - 2 \, x + 3} + 2 \, \arcsin\left(-\frac{1}{2} \, x - \frac{1}{2}\right)"," ",0,"-1/3*(-x^2 - 2*x + 3)^(3/2) - 1/2*sqrt(-x^2 - 2*x + 3)*x - 1/2*sqrt(-x^2 - 2*x + 3) + 2*arcsin(-1/2*x - 1/2)","A",0
2428,1,52,0,1.983760," ","integrate(x*(-x^2+2*x+8)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(-x^{2} + 2 \, x + 8\right)}^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{-x^{2} + 2 \, x + 8} x - \frac{1}{2} \, \sqrt{-x^{2} + 2 \, x + 8} - \frac{9}{2} \, \arcsin\left(-\frac{1}{3} \, x + \frac{1}{3}\right)"," ",0,"-1/3*(-x^2 + 2*x + 8)^(3/2) + 1/2*sqrt(-x^2 + 2*x + 8)*x - 1/2*sqrt(-x^2 + 2*x + 8) - 9/2*arcsin(-1/3*x + 1/3)","A",0
2429,1,49,0,1.927786," ","integrate(x*(x^2+2*x+4)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{2} + 2 \, x + 4\right)}^{\frac{3}{2}} - \frac{1}{2} \, \sqrt{x^{2} + 2 \, x + 4} x - \frac{1}{2} \, \sqrt{x^{2} + 2 \, x + 4} - \frac{3}{2} \, \operatorname{arsinh}\left(\frac{1}{3} \, \sqrt{3} {\left(x + 1\right)}\right)"," ",0,"1/3*(x^2 + 2*x + 4)^(3/2) - 1/2*sqrt(x^2 + 2*x + 4)*x - 1/2*sqrt(x^2 + 2*x + 4) - 3/2*arcsinh(1/3*sqrt(3)*(x + 1))","A",0
2430,1,24,0,1.958140," ","integrate(1/x/(3*x^2+4*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \operatorname{arsinh}\left(\frac{\sqrt{2} x}{{\left| x \right|}} + \frac{\sqrt{2}}{{\left| x \right|}}\right)"," ",0,"-1/2*sqrt(2)*arcsinh(sqrt(2)*x/abs(x) + sqrt(2)/abs(x))","A",0
2431,1,35,0,1.895775," ","integrate(1/x/(-3*x^2+4*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \log\left(\frac{2 \, \sqrt{2} \sqrt{-3 \, x^{2} + 4 \, x + 2}}{{\left| x \right|}} + \frac{4}{{\left| x \right|}} + 4\right)"," ",0,"-1/2*sqrt(2)*log(2*sqrt(2)*sqrt(-3*x^2 + 4*x + 2)/abs(x) + 4/abs(x) + 4)","A",0
2432,1,35,0,1.988299," ","integrate(1/x/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \log\left(\frac{2 \, \sqrt{2} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| x \right|}} + \frac{4}{{\left| x \right|}} + 5\right)"," ",0,"-1/2*sqrt(2)*log(2*sqrt(2)*sqrt(3*x^2 + 5*x + 2)/abs(x) + 4/abs(x) + 5)","A",0
2433,1,35,0,1.871191," ","integrate(1/x/(-3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \log\left(\frac{2 \, \sqrt{2} \sqrt{-3 \, x^{2} + 5 \, x + 2}}{{\left| x \right|}} + \frac{4}{{\left| x \right|}} + 5\right)"," ",0,"-1/2*sqrt(2)*log(2*sqrt(2)*sqrt(-3*x^2 + 5*x + 2)/abs(x) + 4/abs(x) + 5)","A",0
2434,1,26,0,1.985422," ","integrate(1/x/(3*x^2+4*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arcsin\left(\frac{\sqrt{10} x}{5 \, {\left| x \right|}} - \frac{\sqrt{10}}{5 \, {\left| x \right|}}\right)"," ",0,"1/2*sqrt(2)*arcsin(1/5*sqrt(10)*x/abs(x) - 1/5*sqrt(10)/abs(x))","A",0
2435,1,25,0,1.923352," ","integrate(1/x/(-3*x^2+4*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} i \, \sqrt{2} \operatorname{arsinh}\left(\frac{\sqrt{2} x}{{\left| x \right|}} - \frac{\sqrt{2}}{{\left| x \right|}}\right)"," ",0,"1/2*I*sqrt(2)*arcsinh(sqrt(2)*x/abs(x) - sqrt(2)/abs(x))","C",0
2436,1,20,0,2.015257," ","integrate(1/x/(3*x^2+5*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arcsin\left(\frac{5 \, x}{7 \, {\left| x \right|}} - \frac{4}{7 \, {\left| x \right|}}\right)"," ",0,"1/2*sqrt(2)*arcsin(5/7*x/abs(x) - 4/7/abs(x))","A",0
2437,1,20,0,1.865419," ","integrate(1/x/(-3*x^2+5*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arcsin\left(\frac{5 \, x}{{\left| x \right|}} - \frac{4}{{\left| x \right|}}\right)"," ",0,"1/2*sqrt(2)*arcsin(5*x/abs(x) - 4/abs(x))","A",0
2438,1,50,0,1.934559," ","integrate(1/x^3/(x^2+x+1)^(1/2),x, algorithm=""maxima"")","\frac{3 \, \sqrt{x^{2} + x + 1}}{4 \, x} - \frac{\sqrt{x^{2} + x + 1}}{2 \, x^{2}} + \frac{1}{8} \, \operatorname{arsinh}\left(\frac{\sqrt{3} x}{3 \, {\left| x \right|}} + \frac{2 \, \sqrt{3}}{3 \, {\left| x \right|}}\right)"," ",0,"3/4*sqrt(x^2 + x + 1)/x - 1/2*sqrt(x^2 + x + 1)/x^2 + 1/8*arcsinh(1/3*sqrt(3)*x/abs(x) + 2/3*sqrt(3)/abs(x))","A",0
2439,-2,0,0,0.000000," ","integrate(1/x-1/x/(c*x^2+b*x+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*c-b^2>0)', see `assume?` for more details)Is 4*c-b^2 positive, negative or zero?","F(-2)",0
2440,0,0,0,0.000000," ","integrate((d*x)^(5/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} \left(d x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(d*x)^(5/2), x)","F",0
2441,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)^(3/2), x)","F",0
2442,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} \sqrt{e x + d}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*sqrt(e*x + d), x)","F",0
2443,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/sqrt(e*x + d), x)","F",0
2444,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/(e*x + d)^(3/2), x)","F",0
2445,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/(e*x + d)^(5/2), x)","F",0
2446,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/(e*x + d)^(7/2), x)","F",0
2447,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*(e*x + d)^(3/2), x)","F",0
2448,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} \sqrt{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*sqrt(e*x + d), x)","F",0
2449,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/sqrt(e*x + d), x)","F",0
2450,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(e*x + d)^(3/2), x)","F",0
2451,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(e*x + d)^(5/2), x)","F",0
2452,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(e*x + d)^(7/2), x)","F",0
2453,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/(e*x + d)^(9/2), x)","F",0
2454,0,0,0,0.000000," ","integrate((d*x)^(1/2)*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} \sqrt{d x}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)*sqrt(d*x), x)","F",0
2455,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/sqrt(e*x + d), x)","F",0
2456,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(e*x + d)^(3/2), x)","F",0
2457,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(e*x + d)^(5/2), x)","F",0
2458,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(e*x + d)^(7/2), x)","F",0
2459,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(e*x + d)^(9/2), x)","F",0
2460,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)/(e*x + d)^(11/2), x)","F",0
2461,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/sqrt(c*x^2 + b*x + a), x)","F",0
2462,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/sqrt(c*x^2 + b*x + a), x)","F",0
2463,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/sqrt(c*x^2 + b*x + a), x)","F",0
2464,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/sqrt(c*x^2 + b*x + a), x)","F",0
2465,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*sqrt(e*x + d)), x)","F",0
2466,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)^(3/2)), x)","F",0
2467,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)^(5/2)), x)","F",0
2468,0,0,0,0.000000," ","integrate(1/(e*x+d)^(7/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)^(7/2)), x)","F",0
2469,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
2470,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
2471,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
2472,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + b*x + a)^(3/2), x)","F",0
2473,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(3/2)*sqrt(e*x + d)), x)","F",0
2474,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(3/2)*(e*x + d)^(3/2)), x)","F",0
2475,0,0,0,0.000000," ","integrate(1/(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(3/2)*(e*x + d)^(5/2)), x)","F",0
2476,0,0,0,0.000000," ","integrate((e*x+d)^(7/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(7/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
2477,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
2478,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
2479,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + b*x + a)^(5/2), x)","F",0
2480,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(5/2)*sqrt(e*x + d)), x)","F",0
2481,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(5/2)*(e*x + d)^(3/2)), x)","F",0
2482,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(-12*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{5 \, x + 3}}{\sqrt{-12 \, x^{2} + 5 \, x + 2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/sqrt(-12*x^2 + 5*x + 2), x)","F",0
2483,0,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^(4/3),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{4}{3}} {\left(e x + d\right)}^{2}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)*(e*x + d)^2, x)","F",0
2484,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+b*x+a)^(4/3),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{4}{3}} {\left(e x + d\right)}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)*(e*x + d), x)","F",0
2485,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3), x)","F",0
2486,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(e*x + d), x)","F",0
2487,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(e*x + d)^2, x)","F",0
2488,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(4/3)/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{4}{3}}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(4/3)/(e*x + d)^3, x)","F",0
2489,0,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3}}{{\left(c x^{2} + b x + a\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate((e*x + d)^3/(c*x^2 + b*x + a)^(7/3), x)","F",0
2490,0,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{{\left(c x^{2} + b x + a\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate((e*x + d)^2/(c*x^2 + b*x + a)^(7/3), x)","F",0
2491,0,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{e x + d}{{\left(c x^{2} + b x + a\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate((e*x + d)/(c*x^2 + b*x + a)^(7/3), x)","F",0
2492,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(-7/3), x)","F",0
2493,0,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{7}{3}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(7/3)*(e*x + d)), x)","F",0
2494,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{7}{3}} {\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(7/3)*(e*x + d)^2), x)","F",0
2495,0,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{7}{3}} {\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(7/3)*(e*x + d)^3), x)","F",0
2496,0,0,0,0.000000," ","integrate(1/(e*x+d)/(3*c^2*e^2*x^2+3*b*c*e^2*x+b^2*e^2-b*c*d*e+c^2*d^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, c^{2} e^{2} x^{2} + 3 \, b c e^{2} x + c^{2} d^{2} - b c d e + b^{2} e^{2}\right)}^{\frac{1}{3}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/((3*c^2*e^2*x^2 + 3*b*c*e^2*x + c^2*d^2 - b*c*d*e + b^2*e^2)^(1/3)*(e*x + d)), x)","F",0
2497,0,0,0,0.000000," ","integrate((2+3*x)^3/(27*x^2-54*x+52)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x + 2\right)}^{3}}{{\left(27 \, x^{2} - 54 \, x + 52\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)^3/(27*x^2 - 54*x + 52)^(1/3), x)","F",0
2498,0,0,0,0.000000," ","integrate((2+3*x)^2/(27*x^2-54*x+52)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x + 2\right)}^{2}}{{\left(27 \, x^{2} - 54 \, x + 52\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)^2/(27*x^2 - 54*x + 52)^(1/3), x)","F",0
2499,0,0,0,0.000000," ","integrate((2+3*x)/(27*x^2-54*x+52)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x + 2}{{\left(27 \, x^{2} - 54 \, x + 52\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)/(27*x^2 - 54*x + 52)^(1/3), x)","F",0
2500,0,0,0,0.000000," ","integrate(1/(2+3*x)/(27*x^2-54*x+52)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(27 \, x^{2} - 54 \, x + 52\right)}^{\frac{1}{3}} {\left(3 \, x + 2\right)}}\,{d x}"," ",0,"integrate(1/((27*x^2 - 54*x + 52)^(1/3)*(3*x + 2)), x)","F",0
2501,0,0,0,0.000000," ","integrate(1/(2+3*x)^2/(27*x^2-54*x+52)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(27 \, x^{2} - 54 \, x + 52\right)}^{\frac{1}{3}} {\left(3 \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate(1/((27*x^2 - 54*x + 52)^(1/3)*(3*x + 2)^2), x)","F",0
2502,0,0,0,0.000000," ","integrate(1/(2+3*x)^3/(27*x^2-54*x+52)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(27 \, x^{2} - 54 \, x + 52\right)}^{\frac{1}{3}} {\left(3 \, x + 2\right)}^{3}}\,{d x}"," ",0,"integrate(1/((27*x^2 - 54*x + 52)^(1/3)*(3*x + 2)^3), x)","F",0
2503,0,0,0,0.000000," ","integrate((2+3*x)^3/(27*x^2+54*x+28)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x + 2\right)}^{3}}{{\left(27 \, x^{2} + 54 \, x + 28\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)^3/(27*x^2 + 54*x + 28)^(1/3), x)","F",0
2504,0,0,0,0.000000," ","integrate((2+3*x)^2/(27*x^2+54*x+28)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x + 2\right)}^{2}}{{\left(27 \, x^{2} + 54 \, x + 28\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)^2/(27*x^2 + 54*x + 28)^(1/3), x)","F",0
2505,0,0,0,0.000000," ","integrate((2+3*x)/(27*x^2+54*x+28)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x + 2}{{\left(27 \, x^{2} + 54 \, x + 28\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)/(27*x^2 + 54*x + 28)^(1/3), x)","F",0
2506,0,0,0,0.000000," ","integrate(1/(2+3*x)/(27*x^2+54*x+28)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(27 \, x^{2} + 54 \, x + 28\right)}^{\frac{1}{3}} {\left(3 \, x + 2\right)}}\,{d x}"," ",0,"integrate(1/((27*x^2 + 54*x + 28)^(1/3)*(3*x + 2)), x)","F",0
2507,0,0,0,0.000000," ","integrate(1/(2+3*x)^2/(27*x^2+54*x+28)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(27 \, x^{2} + 54 \, x + 28\right)}^{\frac{1}{3}} {\left(3 \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate(1/((27*x^2 + 54*x + 28)^(1/3)*(3*x + 2)^2), x)","F",0
2508,0,0,0,0.000000," ","integrate(1/(2+3*x)^3/(27*x^2+54*x+28)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(27 \, x^{2} + 54 \, x + 28\right)}^{\frac{1}{3}} {\left(3 \, x + 2\right)}^{3}}\,{d x}"," ",0,"integrate(1/((27*x^2 + 54*x + 28)^(1/3)*(3*x + 2)^3), x)","F",0
2509,0,0,0,0.000000," ","integrate(1/(e*x+d)/(9*c^2*e^2*x^2+9*b*c*e^2*x+2*b^2*e^2+b*c*d*e-c^2*d^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(9 \, c^{2} e^{2} x^{2} + 9 \, b c e^{2} x - c^{2} d^{2} + b c d e + 2 \, b^{2} e^{2}\right)}^{\frac{1}{3}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/((9*c^2*e^2*x^2 + 9*b*c*e^2*x - c^2*d^2 + b*c*d*e + 2*b^2*e^2)^(1/3)*(e*x + d)), x)","F",0
2510,0,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{1}{4}} {\left(e x + d\right)}^{3}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(1/4)*(e*x + d)^3, x)","F",0
2511,0,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{1}{4}} {\left(e x + d\right)}^{2}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(1/4)*(e*x + d)^2, x)","F",0
2512,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{1}{4}} {\left(e x + d\right)}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(1/4)*(e*x + d), x)","F",0
2513,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(1/4), x)","F",0
2514,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/4)/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}}}{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(1/4)/(e*x + d), x)","F",0
2515,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/4)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(1/4)/(e*x + d)^2, x)","F",0
2516,0,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{4}} {\left(e x + d\right)}^{3}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/4)*(e*x + d)^3, x)","F",0
2517,0,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{4}} {\left(e x + d\right)}^{2}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/4)*(e*x + d)^2, x)","F",0
2518,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{4}} {\left(e x + d\right)}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/4)*(e*x + d), x)","F",0
2519,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/4), x)","F",0
2520,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/4)/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{4}}}{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/4)/(e*x + d), x)","F",0
2521,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/4)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{4}}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/4)/(e*x + d)^2, x)","F",0
2522,0,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{5}{4}} {\left(e x + d\right)}^{3}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/4)*(e*x + d)^3, x)","F",0
2523,0,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{5}{4}} {\left(e x + d\right)}^{2}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/4)*(e*x + d)^2, x)","F",0
2524,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{5}{4}} {\left(e x + d\right)}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/4)*(e*x + d), x)","F",0
2525,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/4), x)","F",0
2526,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/4)/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{4}}}{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/4)/(e*x + d), x)","F",0
2527,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/4)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{5}{4}}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/4)/(e*x + d)^2, x)","F",0
2528,0,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3}}{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((e*x + d)^3/(c*x^2 + b*x + a)^(1/4), x)","F",0
2529,0,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((e*x + d)^2/(c*x^2 + b*x + a)^(1/4), x)","F",0
2530,0,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int \frac{e x + d}{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((e*x + d)/(c*x^2 + b*x + a)^(1/4), x)","F",0
2531,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(-1/4), x)","F",0
2532,0,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(1/4)*(e*x + d)), x)","F",0
2533,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}} {\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(1/4)*(e*x + d)^2), x)","F",0
2534,0,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}} {\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(1/4)*(e*x + d)^3), x)","F",0
2535,0,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((e*x + d)^3/(c*x^2 + b*x + a)^(3/4), x)","F",0
2536,0,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((e*x + d)^2/(c*x^2 + b*x + a)^(3/4), x)","F",0
2537,0,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int \frac{e x + d}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((e*x + d)/(c*x^2 + b*x + a)^(3/4), x)","F",0
2538,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(-3/4), x)","F",0
2539,0,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{4}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(3/4)*(e*x + d)), x)","F",0
2540,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{4}} {\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(3/4)*(e*x + d)^2), x)","F",0
2541,0,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^2+b*x+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{4}} {\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(3/4)*(e*x + d)^3), x)","F",0
2542,0,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((e*x + d)^3/(c*x^2 + b*x + a)^(5/4), x)","F",0
2543,0,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((e*x + d)^2/(c*x^2 + b*x + a)^(5/4), x)","F",0
2544,0,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int \frac{e x + d}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((e*x + d)/(c*x^2 + b*x + a)^(5/4), x)","F",0
2545,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(-5/4), x)","F",0
2546,0,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{4}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(5/4)*(e*x + d)), x)","F",0
2547,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+b*x+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{4}} {\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(5/4)*(e*x + d)^2), x)","F",0
2548,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{1}{4}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(1/4)*(e*x + d)^(3/2)), x)","F",0
2549,1,2342,0,1.632626," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^4,x, algorithm=""maxima"")","\frac{4 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a^{3} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{4}}{e {\left(m + 1\right)}} + \frac{6 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a^{2} b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{4 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a^{3} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{4 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} a b^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{12 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} a^{2} b c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} b^{4}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{12 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} a b^{2} c}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{6 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} a^{2} c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{4 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{6} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d e^{5} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{2} e^{4} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{3} e^{3} x^{3} - 60 \, {\left(m^{2} + m\right)} d^{4} e^{2} x^{2} + 120 \, d^{5} e m x - 120 \, d^{6}\right)} {\left(e x + d\right)}^{m} b^{3} c}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \frac{12 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{6} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d e^{5} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{2} e^{4} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{3} e^{3} x^{3} - 60 \, {\left(m^{2} + m\right)} d^{4} e^{2} x^{2} + 120 \, d^{5} e m x - 120 \, d^{6}\right)} {\left(e x + d\right)}^{m} a b c^{2}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \frac{6 \, {\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d e^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{2} e^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{3} e^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{4} e^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} d^{5} e^{2} x^{2} - 720 \, d^{6} e m x + 720 \, d^{7}\right)} {\left(e x + d\right)}^{m} b^{2} c^{2}}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} e^{7}} + \frac{4 \, {\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d e^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{2} e^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{3} e^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{4} e^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} d^{5} e^{2} x^{2} - 720 \, d^{6} e m x + 720 \, d^{7}\right)} {\left(e x + d\right)}^{m} a c^{3}}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} e^{7}} + \frac{4 \, {\left({\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} e^{8} x^{8} + {\left(m^{7} + 21 \, m^{6} + 175 \, m^{5} + 735 \, m^{4} + 1624 \, m^{3} + 1764 \, m^{2} + 720 \, m\right)} d e^{7} x^{7} - 7 \, {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d^{2} e^{6} x^{6} + 42 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{3} e^{5} x^{5} - 210 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{4} e^{4} x^{4} + 840 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{5} e^{3} x^{3} - 2520 \, {\left(m^{2} + m\right)} d^{6} e^{2} x^{2} + 5040 \, d^{7} e m x - 5040 \, d^{8}\right)} {\left(e x + d\right)}^{m} b c^{3}}{{\left(m^{8} + 36 \, m^{7} + 546 \, m^{6} + 4536 \, m^{5} + 22449 \, m^{4} + 67284 \, m^{3} + 118124 \, m^{2} + 109584 \, m + 40320\right)} e^{8}} + \frac{{\left({\left(m^{8} + 36 \, m^{7} + 546 \, m^{6} + 4536 \, m^{5} + 22449 \, m^{4} + 67284 \, m^{3} + 118124 \, m^{2} + 109584 \, m + 40320\right)} e^{9} x^{9} + {\left(m^{8} + 28 \, m^{7} + 322 \, m^{6} + 1960 \, m^{5} + 6769 \, m^{4} + 13132 \, m^{3} + 13068 \, m^{2} + 5040 \, m\right)} d e^{8} x^{8} - 8 \, {\left(m^{7} + 21 \, m^{6} + 175 \, m^{5} + 735 \, m^{4} + 1624 \, m^{3} + 1764 \, m^{2} + 720 \, m\right)} d^{2} e^{7} x^{7} + 56 \, {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d^{3} e^{6} x^{6} - 336 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{4} e^{5} x^{5} + 1680 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{5} e^{4} x^{4} - 6720 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{6} e^{3} x^{3} + 20160 \, {\left(m^{2} + m\right)} d^{7} e^{2} x^{2} - 40320 \, d^{8} e m x + 40320 \, d^{9}\right)} {\left(e x + d\right)}^{m} c^{4}}{{\left(m^{9} + 45 \, m^{8} + 870 \, m^{7} + 9450 \, m^{6} + 63273 \, m^{5} + 269325 \, m^{4} + 723680 \, m^{3} + 1172700 \, m^{2} + 1026576 \, m + 362880\right)} e^{9}}"," ",0,"4*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^3*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^4/(e*(m + 1)) + 6*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^2*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 4*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^3*c/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 4*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 12*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a^2*b*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*b^4/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 12*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*a*b^2*c/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 6*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*a^2*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 4*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m^2 + 2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*b^3*c/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 12*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m^2 + 2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*a*b*c^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 6*((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*b^2*c^2/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7) + 4*((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*a*c^3/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7) + 4*((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^8*x^8 + (m^7 + 21*m^6 + 175*m^5 + 735*m^4 + 1624*m^3 + 1764*m^2 + 720*m)*d*e^7*x^7 - 7*(m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d^2*e^6*x^6 + 42*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^3*e^5*x^5 - 210*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^4*e^4*x^4 + 840*(m^3 + 3*m^2 + 2*m)*d^5*e^3*x^3 - 2520*(m^2 + m)*d^6*e^2*x^2 + 5040*d^7*e*m*x - 5040*d^8)*(e*x + d)^m*b*c^3/((m^8 + 36*m^7 + 546*m^6 + 4536*m^5 + 22449*m^4 + 67284*m^3 + 118124*m^2 + 109584*m + 40320)*e^8) + ((m^8 + 36*m^7 + 546*m^6 + 4536*m^5 + 22449*m^4 + 67284*m^3 + 118124*m^2 + 109584*m + 40320)*e^9*x^9 + (m^8 + 28*m^7 + 322*m^6 + 1960*m^5 + 6769*m^4 + 13132*m^3 + 13068*m^2 + 5040*m)*d*e^8*x^8 - 8*(m^7 + 21*m^6 + 175*m^5 + 735*m^4 + 1624*m^3 + 1764*m^2 + 720*m)*d^2*e^7*x^7 + 56*(m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d^3*e^6*x^6 - 336*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^4*e^5*x^5 + 1680*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^5*e^4*x^4 - 6720*(m^3 + 3*m^2 + 2*m)*d^6*e^3*x^3 + 20160*(m^2 + m)*d^7*e^2*x^2 - 40320*d^8*e*m*x + 40320*d^9)*(e*x + d)^m*c^4/((m^9 + 45*m^8 + 870*m^7 + 9450*m^6 + 63273*m^5 + 269325*m^4 + 723680*m^3 + 1172700*m^2 + 1026576*m + 362880)*e^9)","B",0
2550,1,1132,0,1.345499," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a^{2} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{3}}{e {\left(m + 1\right)}} + \frac{3 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{3 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a^{2} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{{\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} b^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{6 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} a b c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{3 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} b^{2} c}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{3 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} a c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{3 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{6} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d e^{5} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{2} e^{4} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{3} e^{3} x^{3} - 60 \, {\left(m^{2} + m\right)} d^{4} e^{2} x^{2} + 120 \, d^{5} e m x - 120 \, d^{6}\right)} {\left(e x + d\right)}^{m} b c^{2}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \frac{{\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d e^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{2} e^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{3} e^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{4} e^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} d^{5} e^{2} x^{2} - 720 \, d^{6} e m x + 720 \, d^{7}\right)} {\left(e x + d\right)}^{m} c^{3}}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} e^{7}}"," ",0,"3*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^2*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^3/(e*(m + 1)) + 3*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 3*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^2*c/((m^3 + 6*m^2 + 11*m + 6)*e^3) + ((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 6*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a*b*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 3*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*b^2*c/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 3*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*a*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 3*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m^2 + 2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*b*c^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + ((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*c^3/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7)","B",0
2551,1,455,0,1.016157," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{2}}{e {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{2 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{2 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} b c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}}"," ",0,"2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^2/(e*(m + 1)) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a*c/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*b*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5)","B",0
2552,1,132,0,0.962669," ","integrate((e*x+d)^m*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{{\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a}{e {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a/(e*(m + 1)) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c/((m^3 + 6*m^2 + 11*m + 6)*e^3)","A",0
2553,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + b*x + a), x)","F",0
2554,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + b*x + a)^2, x)","F",0
2555,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)*(e*x + d)^m, x)","F",0
2556,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*(e*x + d)^m, x)","F",0
2557,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)^m, x)","F",0
2558,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((e*x + d)^m/sqrt(c*x^2 + b*x + a), x)","F",0
2559,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + b*x + a)^(3/2), x)","F",0
2560,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^m/(c*x^2 + b*x + a)^(5/2), x)","F",0
2561,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(d*x)^m, x)","F",0
2562,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(e*x + d)^m, x)","F",0
2563,0,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^3*(c*x^2 + b*x + a)^p, x)","F",0
2564,0,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^2*(c*x^2 + b*x + a)^p, x)","F",0
2565,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)*(c*x^2 + b*x + a)^p, x)","F",0
2566,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p, x)","F",0
2567,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(e*x + d), x)","F",0
2568,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(e*x + d)^2, x)","F",0
2569,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(e*x + d)^3, x)","F",0
2570,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{\frac{3}{2}} {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(c*x^2 + b*x + a)^p, x)","F",0
2571,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int \sqrt{e x + d} {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(c*x^2 + b*x + a)^p, x)","F",0
2572,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/sqrt(e*x + d), x)","F",0
2573,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(e*x + d)^(3/2), x)","F",0
2574,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p/((e*x+d)^(2*p)),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p}}{{\left(e x + d\right)}^{2 \, p}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p/(e*x + d)^(2*p), x)","F",0
2575,0,0,0,0.000000," ","integrate((e*x+d)^(-1-2*p)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 1}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(e*x + d)^(-2*p - 1), x)","F",0
2576,0,0,0,0.000000," ","integrate((e*x+d)^(-2-2*p)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 2}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(e*x + d)^(-2*p - 2), x)","F",0
2577,0,0,0,0.000000," ","integrate((e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 3}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(e*x + d)^(-2*p - 3), x)","F",0
2578,0,0,0,0.000000," ","integrate((e*x+d)^(-4-2*p)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 4}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(e*x + d)^(-2*p - 4), x)","F",0
2579,0,0,0,0.000000," ","integrate((e*x+d)^(-5-2*p)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 5}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(e*x + d)^(-2*p - 5), x)","F",0
2580,0,0,0,0.000000," ","integrate((e*x+d)^(-6-2*p)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 6}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(e*x + d)^(-2*p - 6), x)","F",0
2581,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^(-2-1/2*m),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{-\frac{1}{2} \, m - 2} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(-1/2*m - 2)*(e*x + d)^m, x)","F",0
2582,0,0,0,0.000000," ","integrate(1/(1+x)^(1/3)/(x^2-x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(1/3)*(x + 1)^(1/3)), x)","F",0
2583,0,0,0,0.000000," ","integrate(1/(1+x)^(2/3)/(x^2-x+1)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{2}{3}} {\left(x + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(2/3)*(x + 1)^(2/3)), x)","F",0
2584,0,0,0,0.000000," ","integrate((1+x)^p*(x^2-x+1)^p,x, algorithm=""maxima"")","\int {\left(x^{2} - x + 1\right)}^{p} {\left(x + 1\right)}^{p}\,{d x}"," ",0,"integrate((x^2 - x + 1)^p*(x + 1)^p, x)","F",0
2585,0,0,0,0.000000," ","integrate(1/(1-x)^(1/3)/(x^2+x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^2 + x + 1)^(1/3)*(-x + 1)^(1/3)), x)","F",0
2586,0,0,0,0.000000," ","integrate(1/(1-x)^(2/3)/(x^2+x+1)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((x^2 + x + 1)^(2/3)*(-x + 1)^(2/3)), x)","F",0
2587,0,0,0,0.000000," ","integrate((1-x)^p*(x^2+x+1)^p,x, algorithm=""maxima"")","\int {\left(x^{2} + x + 1\right)}^{p} {\left(-x + 1\right)}^{p}\,{d x}"," ",0,"integrate((x^2 + x + 1)^p*(-x + 1)^p, x)","F",0
2588,0,0,0,0.000000," ","integrate(1/(-c*e*x+b*e)^(1/3)/(c^2*x^2+b*c*x+b^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c^{2} x^{2} + b c x + b^{2}\right)}^{\frac{1}{3}} {\left(-c e x + b e\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((c^2*x^2 + b*c*x + b^2)^(1/3)*(-c*e*x + b*e)^(1/3)), x)","F",0
2589,0,0,0,0.000000," ","integrate(1/(-c*e*x+b*e)^(2/3)/(c^2*x^2+b*c*x+b^2)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c^{2} x^{2} + b c x + b^{2}\right)}^{\frac{2}{3}} {\left(-c e x + b e\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((c^2*x^2 + b*c*x + b^2)^(2/3)*(-c*e*x + b*e)^(2/3)), x)","F",0
2590,0,0,0,0.000000," ","integrate((-c*e*x+b*e)^p*(c^2*x^2+b*c*x+b^2)^p,x, algorithm=""maxima"")","\int {\left(c^{2} x^{2} + b c x + b^{2}\right)}^{p} {\left(-c e x + b e\right)}^{p}\,{d x}"," ",0,"integrate((c^2*x^2 + b*c*x + b^2)^p*(-c*e*x + b*e)^p, x)","F",0
