1,1,53,0,0.855439," ","integrate(x^m*(B*x+A)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{B c x^{m + 4}}{m + 4} + \frac{B b x^{m + 3}}{m + 3} + \frac{A c x^{m + 3}}{m + 3} + \frac{A b x^{m + 2}}{m + 2}"," ",0,"B*c*x^(m + 4)/(m + 4) + B*b*x^(m + 3)/(m + 3) + A*c*x^(m + 3)/(m + 3) + A*b*x^(m + 2)/(m + 2)","A",0
2,1,27,0,0.860655," ","integrate(x^3*(B*x+A)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{7} \, B c x^{7} + \frac{1}{5} \, A b x^{5} + \frac{1}{6} \, {\left(B b + A c\right)} x^{6}"," ",0,"1/7*B*c*x^7 + 1/5*A*b*x^5 + 1/6*(B*b + A*c)*x^6","A",0
3,1,27,0,0.841672," ","integrate(x^2*(B*x+A)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{6} \, B c x^{6} + \frac{1}{4} \, A b x^{4} + \frac{1}{5} \, {\left(B b + A c\right)} x^{5}"," ",0,"1/6*B*c*x^6 + 1/4*A*b*x^4 + 1/5*(B*b + A*c)*x^5","A",0
4,1,27,0,0.811234," ","integrate(x*(B*x+A)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{5} \, B c x^{5} + \frac{1}{3} \, A b x^{3} + \frac{1}{4} \, {\left(B b + A c\right)} x^{4}"," ",0,"1/5*B*c*x^5 + 1/3*A*b*x^3 + 1/4*(B*b + A*c)*x^4","A",0
5,1,27,0,0.892015," ","integrate((B*x+A)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{4} \, B c x^{4} + \frac{1}{2} \, A b x^{2} + \frac{1}{3} \, {\left(B b + A c\right)} x^{3}"," ",0,"1/4*B*c*x^4 + 1/2*A*b*x^2 + 1/3*(B*b + A*c)*x^3","A",0
6,1,24,0,0.845847," ","integrate((B*x+A)*(c*x^2+b*x)/x,x, algorithm=""maxima"")","\frac{1}{3} \, B c x^{3} + A b x + \frac{1}{2} \, {\left(B b + A c\right)} x^{2}"," ",0,"1/3*B*c*x^3 + A*b*x + 1/2*(B*b + A*c)*x^2","A",0
7,1,22,0,0.899741," ","integrate((B*x+A)*(c*x^2+b*x)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, B c x^{2} + A b \log\left(x\right) + {\left(B b + A c\right)} x"," ",0,"1/2*B*c*x^2 + A*b*log(x) + (B*b + A*c)*x","A",0
8,1,22,0,0.874041," ","integrate((B*x+A)*(c*x^2+b*x)/x^3,x, algorithm=""maxima"")","B c x + {\left(B b + A c\right)} \log\left(x\right) - \frac{A b}{x}"," ",0,"B*c*x + (B*b + A*c)*log(x) - A*b/x","A",0
9,1,25,0,0.841855," ","integrate((B*x+A)*(c*x^2+b*x)/x^4,x, algorithm=""maxima"")","B c \log\left(x\right) - \frac{A b + 2 \, {\left(B b + A c\right)} x}{2 \, x^{2}}"," ",0,"B*c*log(x) - 1/2*(A*b + 2*(B*b + A*c)*x)/x^2","A",0
10,1,27,0,0.883306," ","integrate((B*x+A)*(c*x^2+b*x)/x^5,x, algorithm=""maxima"")","-\frac{6 \, B c x^{2} + 2 \, A b + 3 \, {\left(B b + A c\right)} x}{6 \, x^{3}}"," ",0,"-1/6*(6*B*c*x^2 + 2*A*b + 3*(B*b + A*c)*x)/x^3","A",0
11,1,27,0,0.904302," ","integrate((B*x+A)*(c*x^2+b*x)/x^6,x, algorithm=""maxima"")","-\frac{6 \, B c x^{2} + 3 \, A b + 4 \, {\left(B b + A c\right)} x}{12 \, x^{4}}"," ",0,"-1/12*(6*B*c*x^2 + 3*A*b + 4*(B*b + A*c)*x)/x^4","A",0
12,1,27,0,0.910807," ","integrate((B*x+A)*(c*x^2+b*x)/x^7,x, algorithm=""maxima"")","-\frac{20 \, B c x^{2} + 12 \, A b + 15 \, {\left(B b + A c\right)} x}{60 \, x^{5}}"," ",0,"-1/60*(20*B*c*x^2 + 12*A*b + 15*(B*b + A*c)*x)/x^5","A",0
13,1,27,0,0.879332," ","integrate((B*x+A)*(c*x^2+b*x)/x^8,x, algorithm=""maxima"")","-\frac{15 \, B c x^{2} + 10 \, A b + 12 \, {\left(B b + A c\right)} x}{60 \, x^{6}}"," ",0,"-1/60*(15*B*c*x^2 + 10*A*b + 12*(B*b + A*c)*x)/x^6","A",0
14,1,91,0,0.858695," ","integrate(x^m*(B*x+A)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{B c^{2} x^{m + 6}}{m + 6} + \frac{2 \, B b c x^{m + 5}}{m + 5} + \frac{A c^{2} x^{m + 5}}{m + 5} + \frac{B b^{2} x^{m + 4}}{m + 4} + \frac{2 \, A b c x^{m + 4}}{m + 4} + \frac{A b^{2} x^{m + 3}}{m + 3}"," ",0,"B*c^2*x^(m + 6)/(m + 6) + 2*B*b*c*x^(m + 5)/(m + 5) + A*c^2*x^(m + 5)/(m + 5) + B*b^2*x^(m + 4)/(m + 4) + 2*A*b*c*x^(m + 4)/(m + 4) + A*b^2*x^(m + 3)/(m + 3)","A",0
15,1,51,0,0.873674," ","integrate(x^3*(B*x+A)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{2} x^{9} + \frac{1}{6} \, A b^{2} x^{6} + \frac{1}{8} \, {\left(2 \, B b c + A c^{2}\right)} x^{8} + \frac{1}{7} \, {\left(B b^{2} + 2 \, A b c\right)} x^{7}"," ",0,"1/9*B*c^2*x^9 + 1/6*A*b^2*x^6 + 1/8*(2*B*b*c + A*c^2)*x^8 + 1/7*(B*b^2 + 2*A*b*c)*x^7","A",0
16,1,51,0,0.887511," ","integrate(x^2*(B*x+A)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{2} x^{8} + \frac{1}{5} \, A b^{2} x^{5} + \frac{1}{7} \, {\left(2 \, B b c + A c^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{2} + 2 \, A b c\right)} x^{6}"," ",0,"1/8*B*c^2*x^8 + 1/5*A*b^2*x^5 + 1/7*(2*B*b*c + A*c^2)*x^7 + 1/6*(B*b^2 + 2*A*b*c)*x^6","A",0
17,1,51,0,0.843409," ","integrate(x*(B*x+A)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{2} x^{7} + \frac{1}{4} \, A b^{2} x^{4} + \frac{1}{6} \, {\left(2 \, B b c + A c^{2}\right)} x^{6} + \frac{1}{5} \, {\left(B b^{2} + 2 \, A b c\right)} x^{5}"," ",0,"1/7*B*c^2*x^7 + 1/4*A*b^2*x^4 + 1/6*(2*B*b*c + A*c^2)*x^6 + 1/5*(B*b^2 + 2*A*b*c)*x^5","A",0
18,1,51,0,0.921609," ","integrate((B*x+A)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{2} x^{6} + \frac{1}{3} \, A b^{2} x^{3} + \frac{1}{5} \, {\left(2 \, B b c + A c^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{2} + 2 \, A b c\right)} x^{4}"," ",0,"1/6*B*c^2*x^6 + 1/3*A*b^2*x^3 + 1/5*(2*B*b*c + A*c^2)*x^5 + 1/4*(B*b^2 + 2*A*b*c)*x^4","A",0
19,1,51,0,0.896670," ","integrate((B*x+A)*(c*x^2+b*x)^2/x,x, algorithm=""maxima"")","\frac{1}{5} \, B c^{2} x^{5} + \frac{1}{2} \, A b^{2} x^{2} + \frac{1}{4} \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + \frac{1}{3} \, {\left(B b^{2} + 2 \, A b c\right)} x^{3}"," ",0,"1/5*B*c^2*x^5 + 1/2*A*b^2*x^2 + 1/4*(2*B*b*c + A*c^2)*x^4 + 1/3*(B*b^2 + 2*A*b*c)*x^3","A",0
20,1,48,0,0.945080," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, B c^{2} x^{4} + A b^{2} x + \frac{1}{3} \, {\left(2 \, B b c + A c^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B b^{2} + 2 \, A b c\right)} x^{2}"," ",0,"1/4*B*c^2*x^4 + A*b^2*x + 1/3*(2*B*b*c + A*c^2)*x^3 + 1/2*(B*b^2 + 2*A*b*c)*x^2","A",0
21,1,46,0,0.901438," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^3,x, algorithm=""maxima"")","\frac{1}{3} \, B c^{2} x^{3} + A b^{2} \log\left(x\right) + \frac{1}{2} \, {\left(2 \, B b c + A c^{2}\right)} x^{2} + {\left(B b^{2} + 2 \, A b c\right)} x"," ",0,"1/3*B*c^2*x^3 + A*b^2*log(x) + 1/2*(2*B*b*c + A*c^2)*x^2 + (B*b^2 + 2*A*b*c)*x","A",0
22,1,46,0,0.888429," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^4,x, algorithm=""maxima"")","\frac{1}{2} \, B c^{2} x^{2} - \frac{A b^{2}}{x} + {\left(2 \, B b c + A c^{2}\right)} x + {\left(B b^{2} + 2 \, A b c\right)} \log\left(x\right)"," ",0,"1/2*B*c^2*x^2 - A*b^2/x + (2*B*b*c + A*c^2)*x + (B*b^2 + 2*A*b*c)*log(x)","A",0
23,1,46,0,0.933881," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^5,x, algorithm=""maxima"")","B c^{2} x + {\left(2 \, B b c + A c^{2}\right)} \log\left(x\right) - \frac{A b^{2} + 2 \, {\left(B b^{2} + 2 \, A b c\right)} x}{2 \, x^{2}}"," ",0,"B*c^2*x + (2*B*b*c + A*c^2)*log(x) - 1/2*(A*b^2 + 2*(B*b^2 + 2*A*b*c)*x)/x^2","A",0
24,1,50,0,0.874819," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^6,x, algorithm=""maxima"")","B c^{2} \log\left(x\right) - \frac{2 \, A b^{2} + 6 \, {\left(2 \, B b c + A c^{2}\right)} x^{2} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} x}{6 \, x^{3}}"," ",0,"B*c^2*log(x) - 1/6*(2*A*b^2 + 6*(2*B*b*c + A*c^2)*x^2 + 3*(B*b^2 + 2*A*b*c)*x)/x^3","A",0
25,1,51,0,0.917775," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^7,x, algorithm=""maxima"")","-\frac{12 \, B c^{2} x^{3} + 3 \, A b^{2} + 6 \, {\left(2 \, B b c + A c^{2}\right)} x^{2} + 4 \, {\left(B b^{2} + 2 \, A b c\right)} x}{12 \, x^{4}}"," ",0,"-1/12*(12*B*c^2*x^3 + 3*A*b^2 + 6*(2*B*b*c + A*c^2)*x^2 + 4*(B*b^2 + 2*A*b*c)*x)/x^4","A",0
26,1,51,0,0.842508," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^8,x, algorithm=""maxima"")","-\frac{30 \, B c^{2} x^{3} + 12 \, A b^{2} + 20 \, {\left(2 \, B b c + A c^{2}\right)} x^{2} + 15 \, {\left(B b^{2} + 2 \, A b c\right)} x}{60 \, x^{5}}"," ",0,"-1/60*(30*B*c^2*x^3 + 12*A*b^2 + 20*(2*B*b*c + A*c^2)*x^2 + 15*(B*b^2 + 2*A*b*c)*x)/x^5","A",0
27,1,129,0,0.908386," ","integrate(x^m*(B*x+A)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{B c^{3} x^{m + 8}}{m + 8} + \frac{3 \, B b c^{2} x^{m + 7}}{m + 7} + \frac{A c^{3} x^{m + 7}}{m + 7} + \frac{3 \, B b^{2} c x^{m + 6}}{m + 6} + \frac{3 \, A b c^{2} x^{m + 6}}{m + 6} + \frac{B b^{3} x^{m + 5}}{m + 5} + \frac{3 \, A b^{2} c x^{m + 5}}{m + 5} + \frac{A b^{3} x^{m + 4}}{m + 4}"," ",0,"B*c^3*x^(m + 8)/(m + 8) + 3*B*b*c^2*x^(m + 7)/(m + 7) + A*c^3*x^(m + 7)/(m + 7) + 3*B*b^2*c*x^(m + 6)/(m + 6) + 3*A*b*c^2*x^(m + 6)/(m + 6) + B*b^3*x^(m + 5)/(m + 5) + 3*A*b^2*c*x^(m + 5)/(m + 5) + A*b^3*x^(m + 4)/(m + 4)","A",0
28,1,73,0,0.900547," ","integrate(x^3*(B*x+A)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{3} x^{11} + \frac{1}{7} \, A b^{3} x^{7} + \frac{1}{10} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{10} + \frac{1}{3} \, {\left(B b^{2} c + A b c^{2}\right)} x^{9} + \frac{1}{8} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{8}"," ",0,"1/11*B*c^3*x^11 + 1/7*A*b^3*x^7 + 1/10*(3*B*b*c^2 + A*c^3)*x^10 + 1/3*(B*b^2*c + A*b*c^2)*x^9 + 1/8*(B*b^3 + 3*A*b^2*c)*x^8","A",0
29,1,73,0,0.853555," ","integrate(x^2*(B*x+A)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{3} x^{10} + \frac{1}{6} \, A b^{3} x^{6} + \frac{1}{9} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{9} + \frac{3}{8} \, {\left(B b^{2} c + A b c^{2}\right)} x^{8} + \frac{1}{7} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{7}"," ",0,"1/10*B*c^3*x^10 + 1/6*A*b^3*x^6 + 1/9*(3*B*b*c^2 + A*c^3)*x^9 + 3/8*(B*b^2*c + A*b*c^2)*x^8 + 1/7*(B*b^3 + 3*A*b^2*c)*x^7","A",0
30,1,73,0,0.876886," ","integrate(x*(B*x+A)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{3} x^{9} + \frac{1}{5} \, A b^{3} x^{5} + \frac{1}{8} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{8} + \frac{3}{7} \, {\left(B b^{2} c + A b c^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{6}"," ",0,"1/9*B*c^3*x^9 + 1/5*A*b^3*x^5 + 1/8*(3*B*b*c^2 + A*c^3)*x^8 + 3/7*(B*b^2*c + A*b*c^2)*x^7 + 1/6*(B*b^3 + 3*A*b^2*c)*x^6","A",0
31,1,73,0,0.880633," ","integrate((B*x+A)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{3} x^{8} + \frac{1}{4} \, A b^{3} x^{4} + \frac{1}{7} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{7} + \frac{1}{2} \, {\left(B b^{2} c + A b c^{2}\right)} x^{6} + \frac{1}{5} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{5}"," ",0,"1/8*B*c^3*x^8 + 1/4*A*b^3*x^4 + 1/7*(3*B*b*c^2 + A*c^3)*x^7 + 1/2*(B*b^2*c + A*b*c^2)*x^6 + 1/5*(B*b^3 + 3*A*b^2*c)*x^5","A",0
32,1,73,0,0.938837," ","integrate((B*x+A)*(c*x^2+b*x)^3/x,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{3} x^{7} + \frac{1}{3} \, A b^{3} x^{3} + \frac{1}{6} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + \frac{3}{5} \, {\left(B b^{2} c + A b c^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{4}"," ",0,"1/7*B*c^3*x^7 + 1/3*A*b^3*x^3 + 1/6*(3*B*b*c^2 + A*c^3)*x^6 + 3/5*(B*b^2*c + A*b*c^2)*x^5 + 1/4*(B*b^3 + 3*A*b^2*c)*x^4","A",0
33,1,73,0,0.815208," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^2,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{3} x^{6} + \frac{1}{2} \, A b^{3} x^{2} + \frac{1}{5} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{5} + \frac{3}{4} \, {\left(B b^{2} c + A b c^{2}\right)} x^{4} + \frac{1}{3} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{3}"," ",0,"1/6*B*c^3*x^6 + 1/2*A*b^3*x^2 + 1/5*(3*B*b*c^2 + A*c^3)*x^5 + 3/4*(B*b^2*c + A*b*c^2)*x^4 + 1/3*(B*b^3 + 3*A*b^2*c)*x^3","A",0
34,1,69,0,0.896670," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^3,x, algorithm=""maxima"")","\frac{1}{5} \, B c^{3} x^{5} + A b^{3} x + \frac{1}{4} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{4} + {\left(B b^{2} c + A b c^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}"," ",0,"1/5*B*c^3*x^5 + A*b^3*x + 1/4*(3*B*b*c^2 + A*c^3)*x^4 + (B*b^2*c + A*b*c^2)*x^3 + 1/2*(B*b^3 + 3*A*b^2*c)*x^2","B",0
35,1,68,0,0.932240," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^4,x, algorithm=""maxima"")","\frac{1}{4} \, B c^{3} x^{4} + A b^{3} \log\left(x\right) + \frac{1}{3} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{3} + \frac{3}{2} \, {\left(B b^{2} c + A b c^{2}\right)} x^{2} + {\left(B b^{3} + 3 \, A b^{2} c\right)} x"," ",0,"1/4*B*c^3*x^4 + A*b^3*log(x) + 1/3*(3*B*b*c^2 + A*c^3)*x^3 + 3/2*(B*b^2*c + A*b*c^2)*x^2 + (B*b^3 + 3*A*b^2*c)*x","A",0
36,1,69,0,0.908394," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^5,x, algorithm=""maxima"")","\frac{1}{3} \, B c^{3} x^{3} - \frac{A b^{3}}{x} + \frac{1}{2} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{2} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} x + {\left(B b^{3} + 3 \, A b^{2} c\right)} \log\left(x\right)"," ",0,"1/3*B*c^3*x^3 - A*b^3/x + 1/2*(3*B*b*c^2 + A*c^3)*x^2 + 3*(B*b^2*c + A*b*c^2)*x + (B*b^3 + 3*A*b^2*c)*log(x)","A",0
37,1,69,0,0.897436," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^6,x, algorithm=""maxima"")","\frac{1}{2} \, B c^{3} x^{2} + {\left(3 \, B b c^{2} + A c^{3}\right)} x + 3 \, {\left(B b^{2} c + A b c^{2}\right)} \log\left(x\right) - \frac{A b^{3} + 2 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x}{2 \, x^{2}}"," ",0,"1/2*B*c^3*x^2 + (3*B*b*c^2 + A*c^3)*x + 3*(B*b^2*c + A*b*c^2)*log(x) - 1/2*(A*b^3 + 2*(B*b^3 + 3*A*b^2*c)*x)/x^2","A",0
38,1,69,0,0.817977," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^7,x, algorithm=""maxima"")","B c^{3} x + {\left(3 \, B b c^{2} + A c^{3}\right)} \log\left(x\right) - \frac{2 \, A b^{3} + 18 \, {\left(B b^{2} c + A b c^{2}\right)} x^{2} + 3 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x}{6 \, x^{3}}"," ",0,"B*c^3*x + (3*B*b*c^2 + A*c^3)*log(x) - 1/6*(2*A*b^3 + 18*(B*b^2*c + A*b*c^2)*x^2 + 3*(B*b^3 + 3*A*b^2*c)*x)/x^3","A",0
39,1,72,0,0.921181," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^8,x, algorithm=""maxima"")","B c^{3} \log\left(x\right) - \frac{3 \, A b^{3} + 12 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{3} + 18 \, {\left(B b^{2} c + A b c^{2}\right)} x^{2} + 4 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x}{12 \, x^{4}}"," ",0,"B*c^3*log(x) - 1/12*(3*A*b^3 + 12*(3*B*b*c^2 + A*c^3)*x^3 + 18*(B*b^2*c + A*b*c^2)*x^2 + 4*(B*b^3 + 3*A*b^2*c)*x)/x^4","A",0
40,1,73,0,0.842405," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^9,x, algorithm=""maxima"")","-\frac{20 \, B c^{3} x^{4} + 4 \, A b^{3} + 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{3} + 20 \, {\left(B b^{2} c + A b c^{2}\right)} x^{2} + 5 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x}{20 \, x^{5}}"," ",0,"-1/20*(20*B*c^3*x^4 + 4*A*b^3 + 10*(3*B*b*c^2 + A*c^3)*x^3 + 20*(B*b^2*c + A*b*c^2)*x^2 + 5*(B*b^3 + 3*A*b^2*c)*x)/x^5","A",0
41,1,73,0,0.805073," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^10,x, algorithm=""maxima"")","-\frac{30 \, B c^{3} x^{4} + 10 \, A b^{3} + 20 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{3} + 45 \, {\left(B b^{2} c + A b c^{2}\right)} x^{2} + 12 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x}{60 \, x^{6}}"," ",0,"-1/60*(30*B*c^3*x^4 + 10*A*b^3 + 20*(3*B*b*c^2 + A*c^3)*x^3 + 45*(B*b^2*c + A*b*c^2)*x^2 + 12*(B*b^3 + 3*A*b^2*c)*x)/x^6","A",0
42,1,73,0,0.911650," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^11,x, algorithm=""maxima"")","-\frac{140 \, B c^{3} x^{4} + 60 \, A b^{3} + 105 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{3} + 252 \, {\left(B b^{2} c + A b c^{2}\right)} x^{2} + 70 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x}{420 \, x^{7}}"," ",0,"-1/420*(140*B*c^3*x^4 + 60*A*b^3 + 105*(3*B*b*c^2 + A*c^3)*x^3 + 252*(B*b^2*c + A*b*c^2)*x^2 + 70*(B*b^3 + 3*A*b^2*c)*x)/x^7","A",0
43,1,93,0,0.891070," ","integrate(x^4*(e*x+d)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{3 \, c^{3} e x^{4} + 4 \, {\left(c^{3} d - b c^{2} e\right)} x^{3} - 6 \, {\left(b c^{2} d - b^{2} c e\right)} x^{2} + 12 \, {\left(b^{2} c d - b^{3} e\right)} x}{12 \, c^{4}} - \frac{{\left(b^{3} c d - b^{4} e\right)} \log\left(c x + b\right)}{c^{5}}"," ",0,"1/12*(3*c^3*e*x^4 + 4*(c^3*d - b*c^2*e)*x^3 - 6*(b*c^2*d - b^2*c*e)*x^2 + 12*(b^2*c*d - b^3*e)*x)/c^4 - (b^3*c*d - b^4*e)*log(c*x + b)/c^5","A",0
44,1,69,0,0.948677," ","integrate(x^3*(e*x+d)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, c^{2} e x^{3} + 3 \, {\left(c^{2} d - b c e\right)} x^{2} - 6 \, {\left(b c d - b^{2} e\right)} x}{6 \, c^{3}} + \frac{{\left(b^{2} c d - b^{3} e\right)} \log\left(c x + b\right)}{c^{4}}"," ",0,"1/6*(2*c^2*e*x^3 + 3*(c^2*d - b*c*e)*x^2 - 6*(b*c*d - b^2*e)*x)/c^3 + (b^2*c*d - b^3*e)*log(c*x + b)/c^4","A",0
45,1,46,0,0.894107," ","integrate(x^2*(e*x+d)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{c e x^{2} + 2 \, {\left(c d - b e\right)} x}{2 \, c^{2}} - \frac{{\left(b c d - b^{2} e\right)} \log\left(c x + b\right)}{c^{3}}"," ",0,"1/2*(c*e*x^2 + 2*(c*d - b*e)*x)/c^2 - (b*c*d - b^2*e)*log(c*x + b)/c^3","A",0
46,1,25,0,0.939920," ","integrate(x*(e*x+d)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{e x}{c} + \frac{{\left(c d - b e\right)} \log\left(c x + b\right)}{c^{2}}"," ",0,"e*x/c + (c*d - b*e)*log(c*x + b)/c^2","A",0
47,1,30,0,0.853224," ","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
48,1,43,0,0.847789," ","integrate((e*x+d)/x/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{{\left(c d - b e\right)} \log\left(c x + b\right)}{b^{2}} - \frac{{\left(c d - b e\right)} \log\left(x\right)}{b^{2}} - \frac{d}{b x}"," ",0,"(c*d - b*e)*log(c*x + b)/b^2 - (c*d - b*e)*log(x)/b^2 - d/(b*x)","A",0
49,1,63,0,0.916281," ","integrate((e*x+d)/x^2/(c*x^2+b*x),x, algorithm=""maxima"")","-\frac{{\left(c^{2} d - b c e\right)} \log\left(c x + b\right)}{b^{3}} + \frac{{\left(c^{2} d - b c e\right)} \log\left(x\right)}{b^{3}} - \frac{b d - 2 \, {\left(c d - b e\right)} x}{2 \, b^{2} x^{2}}"," ",0,"-(c^2*d - b*c*e)*log(c*x + b)/b^3 + (c^2*d - b*c*e)*log(x)/b^3 - 1/2*(b*d - 2*(c*d - b*e)*x)/(b^2*x^2)","A",0
50,1,89,0,0.878260," ","integrate((e*x+d)/x^3/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{{\left(c^{3} d - b c^{2} e\right)} \log\left(c x + b\right)}{b^{4}} - \frac{{\left(c^{3} d - b c^{2} e\right)} \log\left(x\right)}{b^{4}} - \frac{2 \, b^{2} d + 6 \, {\left(c^{2} d - b c e\right)} x^{2} - 3 \, {\left(b c d - b^{2} e\right)} x}{6 \, b^{3} x^{3}}"," ",0,"(c^3*d - b*c^2*e)*log(c*x + b)/b^4 - (c^3*d - b*c^2*e)*log(x)/b^4 - 1/6*(2*b^2*d + 6*(c^2*d - b*c*e)*x^2 - 3*(b*c*d - b^2*e)*x)/(b^3*x^3)","A",0
51,1,98,0,0.925697," ","integrate(x^5*(e*x+d)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{b^{3} c d - b^{4} e}{c^{6} x + b c^{5}} + \frac{2 \, c^{2} e x^{3} + 3 \, {\left(c^{2} d - 2 \, b c e\right)} x^{2} - 6 \, {\left(2 \, b c d - 3 \, b^{2} e\right)} x}{6 \, c^{4}} + \frac{{\left(3 \, b^{2} c d - 4 \, b^{3} e\right)} \log\left(c x + b\right)}{c^{5}}"," ",0,"(b^3*c*d - b^4*e)/(c^6*x + b*c^5) + 1/6*(2*c^2*e*x^3 + 3*(c^2*d - 2*b*c*e)*x^2 - 6*(2*b*c*d - 3*b^2*e)*x)/c^4 + (3*b^2*c*d - 4*b^3*e)*log(c*x + b)/c^5","A",0
52,1,75,0,0.905713," ","integrate(x^4*(e*x+d)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{b^{2} c d - b^{3} e}{c^{5} x + b c^{4}} + \frac{c e x^{2} + 2 \, {\left(c d - 2 \, b e\right)} x}{2 \, c^{3}} - \frac{{\left(2 \, b c d - 3 \, b^{2} e\right)} \log\left(c x + b\right)}{c^{4}}"," ",0,"-(b^2*c*d - b^3*e)/(c^5*x + b*c^4) + 1/2*(c*e*x^2 + 2*(c*d - 2*b*e)*x)/c^3 - (2*b*c*d - 3*b^2*e)*log(c*x + b)/c^4","A",0
53,1,50,0,0.825227," ","integrate(x^3*(e*x+d)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{b c d - b^{2} e}{c^{4} x + b c^{3}} + \frac{e x}{c^{2}} + \frac{{\left(c d - 2 \, b e\right)} \log\left(c x + b\right)}{c^{3}}"," ",0,"(b*c*d - b^2*e)/(c^4*x + b*c^3) + e*x/c^2 + (c*d - 2*b*e)*log(c*x + b)/c^3","A",0
54,1,35,0,0.845323," ","integrate(x^2*(e*x+d)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{c d - b e}{c^{3} x + b c^{2}} + \frac{e \log\left(c x + b\right)}{c^{2}}"," ",0,"-(c*d - b*e)/(c^3*x + b*c^2) + e*log(c*x + b)/c^2","A",0
55,1,43,0,0.850798," ","integrate(x*(e*x+d)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{c d - b e}{b c^{2} x + b^{2} c} - \frac{d \log\left(c x + b\right)}{b^{2}} + \frac{d \log\left(x\right)}{b^{2}}"," ",0,"(c*d - b*e)/(b*c^2*x + b^2*c) - d*log(c*x + b)/b^2 + d*log(x)/b^2","A",0
56,1,69,0,0.915488," ","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
57,1,100,0,0.897727," ","integrate((e*x+d)/x/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{b^{2} d - 2 \, {\left(3 \, c^{2} d - 2 \, b c e\right)} x^{2} - {\left(3 \, b c d - 2 \, b^{2} e\right)} x}{2 \, {\left(b^{3} c x^{3} + b^{4} x^{2}\right)}} - \frac{{\left(3 \, c^{2} d - 2 \, b c e\right)} \log\left(c x + b\right)}{b^{4}} + \frac{{\left(3 \, c^{2} d - 2 \, b c e\right)} \log\left(x\right)}{b^{4}}"," ",0,"-1/2*(b^2*d - 2*(3*c^2*d - 2*b*c*e)*x^2 - (3*b*c*d - 2*b^2*e)*x)/(b^3*c*x^3 + b^4*x^2) - (3*c^2*d - 2*b*c*e)*log(c*x + b)/b^4 + (3*c^2*d - 2*b*c*e)*log(x)/b^4","A",0
58,1,129,0,0.971090," ","integrate((e*x+d)/x^2/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{2 \, b^{3} d + 6 \, {\left(4 \, c^{3} d - 3 \, b c^{2} e\right)} x^{3} + 3 \, {\left(4 \, b c^{2} d - 3 \, b^{2} c e\right)} x^{2} - {\left(4 \, b^{2} c d - 3 \, b^{3} e\right)} x}{6 \, {\left(b^{4} c x^{4} + b^{5} x^{3}\right)}} + \frac{{\left(4 \, c^{3} d - 3 \, b c^{2} e\right)} \log\left(c x + b\right)}{b^{5}} - \frac{{\left(4 \, c^{3} d - 3 \, b c^{2} e\right)} \log\left(x\right)}{b^{5}}"," ",0,"-1/6*(2*b^3*d + 6*(4*c^3*d - 3*b*c^2*e)*x^3 + 3*(4*b*c^2*d - 3*b^2*c*e)*x^2 - (4*b^2*c*d - 3*b^3*e)*x)/(b^4*c*x^4 + b^5*x^3) + (4*c^3*d - 3*b*c^2*e)*log(c*x + b)/b^5 - (4*c^3*d - 3*b*c^2*e)*log(x)/b^5","A",0
59,1,106,0,0.812673," ","integrate(x^6*(e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{5 \, b^{3} c d - 7 \, b^{4} e + 2 \, {\left(3 \, b^{2} c^{2} d - 4 \, b^{3} c e\right)} x}{2 \, {\left(c^{7} x^{2} + 2 \, b c^{6} x + b^{2} c^{5}\right)}} + \frac{c e x^{2} + 2 \, {\left(c d - 3 \, b e\right)} x}{2 \, c^{4}} - \frac{3 \, {\left(b c d - 2 \, b^{2} e\right)} \log\left(c x + b\right)}{c^{5}}"," ",0,"-1/2*(5*b^3*c*d - 7*b^4*e + 2*(3*b^2*c^2*d - 4*b^3*c*e)*x)/(c^7*x^2 + 2*b*c^6*x + b^2*c^5) + 1/2*(c*e*x^2 + 2*(c*d - 3*b*e)*x)/c^4 - 3*(b*c*d - 2*b^2*e)*log(c*x + b)/c^5","A",0
60,1,83,0,0.933722," ","integrate(x^5*(e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{3 \, b^{2} c d - 5 \, b^{3} e + 2 \, {\left(2 \, b c^{2} d - 3 \, b^{2} c e\right)} x}{2 \, {\left(c^{6} x^{2} + 2 \, b c^{5} x + b^{2} c^{4}\right)}} + \frac{e x}{c^{3}} + \frac{{\left(c d - 3 \, b e\right)} \log\left(c x + b\right)}{c^{4}}"," ",0,"1/2*(3*b^2*c*d - 5*b^3*e + 2*(2*b*c^2*d - 3*b^2*c*e)*x)/(c^6*x^2 + 2*b*c^5*x + b^2*c^4) + e*x/c^3 + (c*d - 3*b*e)*log(c*x + b)/c^4","A",0
61,1,63,0,0.913993," ","integrate(x^4*(e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{b c d - 3 \, b^{2} e + 2 \, {\left(c^{2} d - 2 \, b c e\right)} x}{2 \, {\left(c^{5} x^{2} + 2 \, b c^{4} x + b^{2} c^{3}\right)}} + \frac{e \log\left(c x + b\right)}{c^{3}}"," ",0,"-1/2*(b*c*d - 3*b^2*e + 2*(c^2*d - 2*b*c*e)*x)/(c^5*x^2 + 2*b*c^4*x + b^2*c^3) + e*log(c*x + b)/c^3","A",0
62,1,38,0,0.915848," ","integrate(x^3*(e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{2 \, c e x + c d + b e}{2 \, {\left(c^{4} x^{2} + 2 \, b c^{3} x + b^{2} c^{2}\right)}}"," ",0,"-1/2*(2*c*e*x + c*d + b*e)/(c^4*x^2 + 2*b*c^3*x + b^2*c^2)","A",0
63,1,68,0,0.920968," ","integrate(x^2*(e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{2 \, c^{2} d x + 3 \, b c d - b^{2} e}{2 \, {\left(b^{2} c^{3} x^{2} + 2 \, b^{3} c^{2} x + b^{4} c\right)}} - \frac{d \log\left(c x + b\right)}{b^{3}} + \frac{d \log\left(x\right)}{b^{3}}"," ",0,"1/2*(2*c^2*d*x + 3*b*c*d - b^2*e)/(b^2*c^3*x^2 + 2*b^3*c^2*x + b^4*c) - d*log(c*x + b)/b^3 + d*log(x)/b^3","A",0
64,1,104,0,0.864669," ","integrate(x*(e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{2 \, b^{2} d + 2 \, {\left(3 \, c^{2} d - b c e\right)} x^{2} + 3 \, {\left(3 \, b c d - b^{2} e\right)} x}{2 \, {\left(b^{3} c^{2} x^{3} + 2 \, b^{4} c x^{2} + b^{5} x\right)}} + \frac{{\left(3 \, c d - b e\right)} \log\left(c x + b\right)}{b^{4}} - \frac{{\left(3 \, c d - b e\right)} \log\left(x\right)}{b^{4}}"," ",0,"-1/2*(2*b^2*d + 2*(3*c^2*d - b*c*e)*x^2 + 3*(3*b*c*d - b^2*e)*x)/(b^3*c^2*x^3 + 2*b^4*c*x^2 + b^5*x) + (3*c*d - b*e)*log(c*x + b)/b^4 - (3*c*d - b*e)*log(x)/b^4","A",0
65,1,136,0,0.946357," ","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
66,1,165,0,0.993773," ","integrate((e*x+d)/x/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{2 \, b^{4} d + 12 \, {\left(5 \, c^{4} d - 3 \, b c^{3} e\right)} x^{4} + 18 \, {\left(5 \, b c^{3} d - 3 \, b^{2} c^{2} e\right)} x^{3} + 4 \, {\left(5 \, b^{2} c^{2} d - 3 \, b^{3} c e\right)} x^{2} - {\left(5 \, b^{3} c d - 3 \, b^{4} e\right)} x}{6 \, {\left(b^{5} c^{2} x^{5} + 2 \, b^{6} c x^{4} + b^{7} x^{3}\right)}} + \frac{2 \, {\left(5 \, c^{3} d - 3 \, b c^{2} e\right)} \log\left(c x + b\right)}{b^{6}} - \frac{2 \, {\left(5 \, c^{3} d - 3 \, b c^{2} e\right)} \log\left(x\right)}{b^{6}}"," ",0,"-1/6*(2*b^4*d + 12*(5*c^4*d - 3*b*c^3*e)*x^4 + 18*(5*b*c^3*d - 3*b^2*c^2*e)*x^3 + 4*(5*b^2*c^2*d - 3*b^3*c*e)*x^2 - (5*b^3*c*d - 3*b^4*e)*x)/(b^5*c^2*x^5 + 2*b^6*c*x^4 + b^7*x^3) + 2*(5*c^3*d - 3*b*c^2*e)*log(c*x + b)/b^6 - 2*(5*c^3*d - 3*b*c^2*e)*log(x)/b^6","A",0
67,1,288,0,0.899428," ","integrate(x^3*(B*x+A)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B x^{3}}{6 \, c} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b x^{2}}{20 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A x^{2}}{5 \, c} + \frac{21 \, \sqrt{c x^{2} + b x} B b^{4} x}{256 \, c^{4}} + \frac{21 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2} x}{160 \, c^{3}} - \frac{7 \, \sqrt{c x^{2} + b x} A b^{3} x}{64 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b x}{40 \, c^{2}} - \frac{21 \, B b^{6} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{11}{2}}} + \frac{7 \, A b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{9}{2}}} + \frac{21 \, \sqrt{c x^{2} + b x} B b^{5}}{512 \, c^{5}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{3}}{64 \, c^{4}} - \frac{7 \, \sqrt{c x^{2} + b x} A b^{4}}{128 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{2}}{48 \, c^{3}}"," ",0,"1/6*(c*x^2 + b*x)^(3/2)*B*x^3/c - 3/20*(c*x^2 + b*x)^(3/2)*B*b*x^2/c^2 + 1/5*(c*x^2 + b*x)^(3/2)*A*x^2/c + 21/256*sqrt(c*x^2 + b*x)*B*b^4*x/c^4 + 21/160*(c*x^2 + b*x)^(3/2)*B*b^2*x/c^3 - 7/64*sqrt(c*x^2 + b*x)*A*b^3*x/c^3 - 7/40*(c*x^2 + b*x)^(3/2)*A*b*x/c^2 - 21/1024*B*b^6*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) + 7/256*A*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) + 21/512*sqrt(c*x^2 + b*x)*B*b^5/c^5 - 7/64*(c*x^2 + b*x)^(3/2)*B*b^3/c^4 - 7/128*sqrt(c*x^2 + b*x)*A*b^4/c^4 + 7/48*(c*x^2 + b*x)^(3/2)*A*b^2/c^3","A",0
68,1,242,0,0.862043," ","integrate(x^2*(B*x+A)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B x^{2}}{5 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} B b^{3} x}{64 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b x}{40 \, c^{2}} + \frac{5 \, \sqrt{c x^{2} + b x} A b^{2} x}{32 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A x}{4 \, c} + \frac{7 \, B b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{9}{2}}} - \frac{5 \, A b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{7}{2}}} - \frac{7 \, \sqrt{c x^{2} + b x} B b^{4}}{128 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2}}{48 \, c^{3}} + \frac{5 \, \sqrt{c x^{2} + b x} A b^{3}}{64 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{24 \, c^{2}}"," ",0,"1/5*(c*x^2 + b*x)^(3/2)*B*x^2/c - 7/64*sqrt(c*x^2 + b*x)*B*b^3*x/c^3 - 7/40*(c*x^2 + b*x)^(3/2)*B*b*x/c^2 + 5/32*sqrt(c*x^2 + b*x)*A*b^2*x/c^2 + 1/4*(c*x^2 + b*x)^(3/2)*A*x/c + 7/256*B*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 5/128*A*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 7/128*sqrt(c*x^2 + b*x)*B*b^4/c^4 + 7/48*(c*x^2 + b*x)^(3/2)*B*b^2/c^3 + 5/64*sqrt(c*x^2 + b*x)*A*b^3/c^3 - 5/24*(c*x^2 + b*x)^(3/2)*A*b/c^2","A",0
69,1,198,0,0.898725," ","integrate(x*(B*x+A)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{5 \, \sqrt{c x^{2} + b x} B b^{2} x}{32 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B x}{4 \, c} - \frac{\sqrt{c x^{2} + b x} A b x}{4 \, c} - \frac{5 \, B b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{7}{2}}} + \frac{A b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{5}{2}}} + \frac{5 \, \sqrt{c x^{2} + b x} B b^{3}}{64 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{24 \, c^{2}} - \frac{\sqrt{c x^{2} + b x} A b^{2}}{8 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{3 \, c}"," ",0,"5/32*sqrt(c*x^2 + b*x)*B*b^2*x/c^2 + 1/4*(c*x^2 + b*x)^(3/2)*B*x/c - 1/4*sqrt(c*x^2 + b*x)*A*b*x/c - 5/128*B*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 1/16*A*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 5/64*sqrt(c*x^2 + b*x)*B*b^3/c^3 - 5/24*(c*x^2 + b*x)^(3/2)*B*b/c^2 - 1/8*sqrt(c*x^2 + b*x)*A*b^2/c^2 + 1/3*(c*x^2 + b*x)^(3/2)*A/c","B",0
70,1,154,0,0.945153," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + b x} A x - \frac{\sqrt{c x^{2} + b x} B b x}{4 \, c} + \frac{B b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{5}{2}}} - \frac{A 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 b^{2}}{8 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{3 \, c} + \frac{\sqrt{c x^{2} + b x} A b}{4 \, c}"," ",0,"1/2*sqrt(c*x^2 + b*x)*A*x - 1/4*sqrt(c*x^2 + b*x)*B*b*x/c + 1/16*B*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 1/8*A*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) - 1/8*sqrt(c*x^2 + b*x)*B*b^2/c^2 + 1/3*(c*x^2 + b*x)^(3/2)*B/c + 1/4*sqrt(c*x^2 + b*x)*A*b/c","A",0
71,1,109,0,0.885342," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + b x} B x - \frac{B b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{3}{2}}} + \frac{A 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} A + \frac{\sqrt{c x^{2} + b x} B b}{4 \, c}"," ",0,"1/2*sqrt(c*x^2 + b*x)*B*x - 1/8*B*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 1/2*A*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + sqrt(c*x^2 + b*x)*A + 1/4*sqrt(c*x^2 + b*x)*B*b/c","A",0
72,1,89,0,0.839094," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{B b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, \sqrt{c}} + A \sqrt{c} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) + \sqrt{c x^{2} + b x} B - \frac{2 \, \sqrt{c x^{2} + b x} A}{x}"," ",0,"1/2*B*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + A*sqrt(c)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) + sqrt(c*x^2 + b*x)*B - 2*sqrt(c*x^2 + b*x)*A/x","A",0
73,1,85,0,0.952515," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^3,x, algorithm=""maxima"")","{\left(\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}\right)} B - \frac{2}{3} \, A {\left(\frac{\sqrt{c x^{2} + b x} c}{b x} + \frac{\sqrt{c x^{2} + b x}}{x^{2}}\right)}"," ",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)*B - 2/3*A*(sqrt(c*x^2 + b*x)*c/(b*x) + sqrt(c*x^2 + b*x)/x^2)","A",0
74,1,100,0,0.948274," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{c x^{2} + b x} B c}{3 \, b x} + \frac{4 \, \sqrt{c x^{2} + b x} A c^{2}}{15 \, b^{2} x} - \frac{2 \, \sqrt{c x^{2} + b x} B}{3 \, x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} A c}{15 \, b x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{5 \, x^{3}}"," ",0,"-2/3*sqrt(c*x^2 + b*x)*B*c/(b*x) + 4/15*sqrt(c*x^2 + b*x)*A*c^2/(b^2*x) - 2/3*sqrt(c*x^2 + b*x)*B/x^2 - 2/15*sqrt(c*x^2 + b*x)*A*c/(b*x^2) - 2/5*sqrt(c*x^2 + b*x)*A/x^3","B",0
75,1,146,0,0.927215," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^5,x, algorithm=""maxima"")","\frac{4 \, \sqrt{c x^{2} + b x} B c^{2}}{15 \, b^{2} x} - \frac{16 \, \sqrt{c x^{2} + b x} A c^{3}}{105 \, b^{3} x} - \frac{2 \, \sqrt{c x^{2} + b x} B c}{15 \, b x^{2}} + \frac{8 \, \sqrt{c x^{2} + b x} A c^{2}}{105 \, b^{2} x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} B}{5 \, x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} A c}{35 \, b x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{7 \, x^{4}}"," ",0,"4/15*sqrt(c*x^2 + b*x)*B*c^2/(b^2*x) - 16/105*sqrt(c*x^2 + b*x)*A*c^3/(b^3*x) - 2/15*sqrt(c*x^2 + b*x)*B*c/(b*x^2) + 8/105*sqrt(c*x^2 + b*x)*A*c^2/(b^2*x^2) - 2/5*sqrt(c*x^2 + b*x)*B/x^3 - 2/35*sqrt(c*x^2 + b*x)*A*c/(b*x^3) - 2/7*sqrt(c*x^2 + b*x)*A/x^4","A",0
76,1,192,0,0.978010," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^6,x, algorithm=""maxima"")","-\frac{16 \, \sqrt{c x^{2} + b x} B c^{3}}{105 \, b^{3} x} + \frac{32 \, \sqrt{c x^{2} + b x} A c^{4}}{315 \, b^{4} x} + \frac{8 \, \sqrt{c x^{2} + b x} B c^{2}}{105 \, b^{2} x^{2}} - \frac{16 \, \sqrt{c x^{2} + b x} A c^{3}}{315 \, b^{3} x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} B c}{35 \, b x^{3}} + \frac{4 \, \sqrt{c x^{2} + b x} A c^{2}}{105 \, b^{2} x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} B}{7 \, x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} A c}{63 \, b x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{9 \, x^{5}}"," ",0,"-16/105*sqrt(c*x^2 + b*x)*B*c^3/(b^3*x) + 32/315*sqrt(c*x^2 + b*x)*A*c^4/(b^4*x) + 8/105*sqrt(c*x^2 + b*x)*B*c^2/(b^2*x^2) - 16/315*sqrt(c*x^2 + b*x)*A*c^3/(b^3*x^2) - 2/35*sqrt(c*x^2 + b*x)*B*c/(b*x^3) + 4/105*sqrt(c*x^2 + b*x)*A*c^2/(b^2*x^3) - 2/7*sqrt(c*x^2 + b*x)*B/x^4 - 2/63*sqrt(c*x^2 + b*x)*A*c/(b*x^4) - 2/9*sqrt(c*x^2 + b*x)*A/x^5","A",0
77,1,238,0,0.979061," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^7,x, algorithm=""maxima"")","\frac{32 \, \sqrt{c x^{2} + b x} B c^{4}}{315 \, b^{4} x} - \frac{256 \, \sqrt{c x^{2} + b x} A c^{5}}{3465 \, b^{5} x} - \frac{16 \, \sqrt{c x^{2} + b x} B c^{3}}{315 \, b^{3} x^{2}} + \frac{128 \, \sqrt{c x^{2} + b x} A c^{4}}{3465 \, b^{4} x^{2}} + \frac{4 \, \sqrt{c x^{2} + b x} B c^{2}}{105 \, b^{2} x^{3}} - \frac{32 \, \sqrt{c x^{2} + b x} A c^{3}}{1155 \, b^{3} x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} B c}{63 \, b x^{4}} + \frac{16 \, \sqrt{c x^{2} + b x} A c^{2}}{693 \, b^{2} x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} B}{9 \, x^{5}} - \frac{2 \, \sqrt{c x^{2} + b x} A c}{99 \, b x^{5}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{11 \, x^{6}}"," ",0,"32/315*sqrt(c*x^2 + b*x)*B*c^4/(b^4*x) - 256/3465*sqrt(c*x^2 + b*x)*A*c^5/(b^5*x) - 16/315*sqrt(c*x^2 + b*x)*B*c^3/(b^3*x^2) + 128/3465*sqrt(c*x^2 + b*x)*A*c^4/(b^4*x^2) + 4/105*sqrt(c*x^2 + b*x)*B*c^2/(b^2*x^3) - 32/1155*sqrt(c*x^2 + b*x)*A*c^3/(b^3*x^3) - 2/63*sqrt(c*x^2 + b*x)*B*c/(b*x^4) + 16/693*sqrt(c*x^2 + b*x)*A*c^2/(b^2*x^4) - 2/9*sqrt(c*x^2 + b*x)*B/x^5 - 2/99*sqrt(c*x^2 + b*x)*A*c/(b*x^5) - 2/11*sqrt(c*x^2 + b*x)*A/x^6","A",0
78,1,284,0,0.987653," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^8,x, algorithm=""maxima"")","-\frac{256 \, \sqrt{c x^{2} + b x} B c^{5}}{3465 \, b^{5} x} + \frac{512 \, \sqrt{c x^{2} + b x} A c^{6}}{9009 \, b^{6} x} + \frac{128 \, \sqrt{c x^{2} + b x} B c^{4}}{3465 \, b^{4} x^{2}} - \frac{256 \, \sqrt{c x^{2} + b x} A c^{5}}{9009 \, b^{5} x^{2}} - \frac{32 \, \sqrt{c x^{2} + b x} B c^{3}}{1155 \, b^{3} x^{3}} + \frac{64 \, \sqrt{c x^{2} + b x} A c^{4}}{3003 \, b^{4} x^{3}} + \frac{16 \, \sqrt{c x^{2} + b x} B c^{2}}{693 \, b^{2} x^{4}} - \frac{160 \, \sqrt{c x^{2} + b x} A c^{3}}{9009 \, b^{3} x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} B c}{99 \, b x^{5}} + \frac{20 \, \sqrt{c x^{2} + b x} A c^{2}}{1287 \, b^{2} x^{5}} - \frac{2 \, \sqrt{c x^{2} + b x} B}{11 \, x^{6}} - \frac{2 \, \sqrt{c x^{2} + b x} A c}{143 \, b x^{6}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{13 \, x^{7}}"," ",0,"-256/3465*sqrt(c*x^2 + b*x)*B*c^5/(b^5*x) + 512/9009*sqrt(c*x^2 + b*x)*A*c^6/(b^6*x) + 128/3465*sqrt(c*x^2 + b*x)*B*c^4/(b^4*x^2) - 256/9009*sqrt(c*x^2 + b*x)*A*c^5/(b^5*x^2) - 32/1155*sqrt(c*x^2 + b*x)*B*c^3/(b^3*x^3) + 64/3003*sqrt(c*x^2 + b*x)*A*c^4/(b^4*x^3) + 16/693*sqrt(c*x^2 + b*x)*B*c^2/(b^2*x^4) - 160/9009*sqrt(c*x^2 + b*x)*A*c^3/(b^3*x^4) - 2/99*sqrt(c*x^2 + b*x)*B*c/(b*x^5) + 20/1287*sqrt(c*x^2 + b*x)*A*c^2/(b^2*x^5) - 2/11*sqrt(c*x^2 + b*x)*B/x^6 - 2/143*sqrt(c*x^2 + b*x)*A*c/(b*x^6) - 2/13*sqrt(c*x^2 + b*x)*A/x^7","A",0
79,1,370,0,0.950350," ","integrate(x^3*(B*x+A)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B x^{3}}{8 \, c} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b x^{2}}{112 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A x^{2}}{7 \, c} - \frac{99 \, \sqrt{c x^{2} + b x} B b^{6} x}{8192 \, c^{5}} + \frac{33 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{4} x}{1024 \, c^{4}} + \frac{9 \, \sqrt{c x^{2} + b x} A b^{5} x}{512 \, c^{4}} + \frac{33 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{2} x}{448 \, c^{3}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{3} x}{64 \, c^{3}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b x}{28 \, c^{2}} + \frac{99 \, B b^{8} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{32768 \, c^{\frac{13}{2}}} - \frac{9 \, A b^{7} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2048 \, c^{\frac{11}{2}}} - \frac{99 \, \sqrt{c x^{2} + b x} B b^{7}}{16384 \, c^{6}} + \frac{33 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{5}}{2048 \, c^{5}} + \frac{9 \, \sqrt{c x^{2} + b x} A b^{6}}{1024 \, c^{5}} - \frac{33 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{3}}{640 \, c^{4}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{4}}{128 \, c^{4}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b^{2}}{40 \, c^{3}}"," ",0,"1/8*(c*x^2 + b*x)^(5/2)*B*x^3/c - 11/112*(c*x^2 + b*x)^(5/2)*B*b*x^2/c^2 + 1/7*(c*x^2 + b*x)^(5/2)*A*x^2/c - 99/8192*sqrt(c*x^2 + b*x)*B*b^6*x/c^5 + 33/1024*(c*x^2 + b*x)^(3/2)*B*b^4*x/c^4 + 9/512*sqrt(c*x^2 + b*x)*A*b^5*x/c^4 + 33/448*(c*x^2 + b*x)^(5/2)*B*b^2*x/c^3 - 3/64*(c*x^2 + b*x)^(3/2)*A*b^3*x/c^3 - 3/28*(c*x^2 + b*x)^(5/2)*A*b*x/c^2 + 99/32768*B*b^8*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(13/2) - 9/2048*A*b^7*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) - 99/16384*sqrt(c*x^2 + b*x)*B*b^7/c^6 + 33/2048*(c*x^2 + b*x)^(3/2)*B*b^5/c^5 + 9/1024*sqrt(c*x^2 + b*x)*A*b^6/c^5 - 33/640*(c*x^2 + b*x)^(5/2)*B*b^3/c^4 - 3/128*(c*x^2 + b*x)^(3/2)*A*b^4/c^4 + 3/40*(c*x^2 + b*x)^(5/2)*A*b^2/c^3","A",0
80,1,324,0,1.041279," ","integrate(x^2*(B*x+A)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B x^{2}}{7 \, c} + \frac{9 \, \sqrt{c x^{2} + b x} B b^{5} x}{512 \, c^{4}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{3} x}{64 \, c^{3}} - \frac{7 \, \sqrt{c x^{2} + b x} A b^{4} x}{256 \, c^{3}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b x}{28 \, c^{2}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{2} x}{96 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A x}{6 \, c} - \frac{9 \, B b^{7} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2048 \, c^{\frac{11}{2}}} + \frac{7 \, A b^{6} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{9}{2}}} + \frac{9 \, \sqrt{c x^{2} + b x} B b^{6}}{1024 \, c^{5}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{4}}{128 \, c^{4}} - \frac{7 \, \sqrt{c x^{2} + b x} A b^{5}}{512 \, c^{4}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{2}}{40 \, c^{3}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{3}}{192 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b}{60 \, c^{2}}"," ",0,"1/7*(c*x^2 + b*x)^(5/2)*B*x^2/c + 9/512*sqrt(c*x^2 + b*x)*B*b^5*x/c^4 - 3/64*(c*x^2 + b*x)^(3/2)*B*b^3*x/c^3 - 7/256*sqrt(c*x^2 + b*x)*A*b^4*x/c^3 - 3/28*(c*x^2 + b*x)^(5/2)*B*b*x/c^2 + 7/96*(c*x^2 + b*x)^(3/2)*A*b^2*x/c^2 + 1/6*(c*x^2 + b*x)^(5/2)*A*x/c - 9/2048*B*b^7*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) + 7/1024*A*b^6*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) + 9/1024*sqrt(c*x^2 + b*x)*B*b^6/c^5 - 3/128*(c*x^2 + b*x)^(3/2)*B*b^4/c^4 - 7/512*sqrt(c*x^2 + b*x)*A*b^5/c^4 + 3/40*(c*x^2 + b*x)^(5/2)*B*b^2/c^3 + 7/192*(c*x^2 + b*x)^(3/2)*A*b^3/c^3 - 7/60*(c*x^2 + b*x)^(5/2)*A*b/c^2","A",0
81,1,280,0,0.954753," ","integrate(x*(B*x+A)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{7 \, \sqrt{c x^{2} + b x} B b^{4} x}{256 \, c^{3}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2} x}{96 \, c^{2}} + \frac{3 \, \sqrt{c x^{2} + b x} A b^{3} x}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B x}{6 \, c} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b x}{8 \, c} + \frac{7 \, B b^{6} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{9}{2}}} - \frac{3 \, A b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{7}{2}}} - \frac{7 \, \sqrt{c x^{2} + b x} B b^{5}}{512 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{3}}{192 \, c^{3}} + \frac{3 \, \sqrt{c x^{2} + b x} A b^{4}}{128 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b}{60 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{2}}{16 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{5 \, c}"," ",0,"-7/256*sqrt(c*x^2 + b*x)*B*b^4*x/c^3 + 7/96*(c*x^2 + b*x)^(3/2)*B*b^2*x/c^2 + 3/64*sqrt(c*x^2 + b*x)*A*b^3*x/c^2 + 1/6*(c*x^2 + b*x)^(5/2)*B*x/c - 1/8*(c*x^2 + b*x)^(3/2)*A*b*x/c + 7/1024*B*b^6*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 3/256*A*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 7/512*sqrt(c*x^2 + b*x)*B*b^5/c^4 + 7/192*(c*x^2 + b*x)^(3/2)*B*b^3/c^3 + 3/128*sqrt(c*x^2 + b*x)*A*b^4/c^3 - 7/60*(c*x^2 + b*x)^(5/2)*B*b/c^2 - 1/16*(c*x^2 + b*x)^(3/2)*A*b^2/c^2 + 1/5*(c*x^2 + b*x)^(5/2)*A/c","B",0
82,1,236,0,0.894871," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A x + \frac{3 \, \sqrt{c x^{2} + b x} B b^{3} x}{64 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b x}{8 \, c} - \frac{3 \, \sqrt{c x^{2} + b x} A b^{2} x}{32 \, c} - \frac{3 \, B 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 \, A 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 b^{4}}{128 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2}}{16 \, c^{2}} - \frac{3 \, \sqrt{c x^{2} + b x} A b^{3}}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{5 \, c} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{8 \, c}"," ",0,"1/4*(c*x^2 + b*x)^(3/2)*A*x + 3/64*sqrt(c*x^2 + b*x)*B*b^3*x/c^2 - 1/8*(c*x^2 + b*x)^(3/2)*B*b*x/c - 3/32*sqrt(c*x^2 + b*x)*A*b^2*x/c - 3/256*B*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 3/128*A*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 3/128*sqrt(c*x^2 + b*x)*B*b^4/c^3 - 1/16*(c*x^2 + b*x)^(3/2)*B*b^2/c^2 - 3/64*sqrt(c*x^2 + b*x)*A*b^3/c^2 + 1/5*(c*x^2 + b*x)^(5/2)*B/c + 1/8*(c*x^2 + b*x)^(3/2)*A*b/c","B",0
83,1,189,0,0.857981," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B x + \frac{1}{4} \, \sqrt{c x^{2} + b x} A b x - \frac{3 \, \sqrt{c x^{2} + b x} B b^{2} x}{32 \, c} + \frac{3 \, B b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{5}{2}}} - \frac{A 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}} A - \frac{3 \, \sqrt{c x^{2} + b x} B b^{3}}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{8 \, c} + \frac{\sqrt{c x^{2} + b x} A b^{2}}{8 \, c}"," ",0,"1/4*(c*x^2 + b*x)^(3/2)*B*x + 1/4*sqrt(c*x^2 + b*x)*A*b*x - 3/32*sqrt(c*x^2 + b*x)*B*b^2*x/c + 3/128*B*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 1/16*A*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)*A - 3/64*sqrt(c*x^2 + b*x)*B*b^3/c^2 + 1/8*(c*x^2 + b*x)^(3/2)*B*b/c + 1/8*sqrt(c*x^2 + b*x)*A*b^2/c","A",0
84,1,147,0,0.897606," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{c x^{2} + b x} B b x - \frac{B b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{3}{2}}} + \frac{3 \, A b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, \sqrt{c}} + \frac{1}{3} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B + \frac{3}{4} \, \sqrt{c x^{2} + b x} A b + \frac{\sqrt{c x^{2} + b x} B b^{2}}{8 \, c} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{2 \, x}"," ",0,"1/4*sqrt(c*x^2 + b*x)*B*b*x - 1/16*B*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 3/8*A*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + 1/3*(c*x^2 + b*x)^(3/2)*B + 3/4*sqrt(c*x^2 + b*x)*A*b + 1/8*sqrt(c*x^2 + b*x)*B*b^2/c + 1/2*(c*x^2 + b*x)^(3/2)*A/x","A",0
85,1,129,0,0.866416," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{3 \, B b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, \sqrt{c}} + \frac{3}{2} \, A b \sqrt{c} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) + \frac{3}{4} \, \sqrt{c x^{2} + b x} B b + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{2 \, x} - \frac{3 \, \sqrt{c x^{2} + b x} A b}{x} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{x^{2}}"," ",0,"3/8*B*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + 3/2*A*b*sqrt(c)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) + 3/4*sqrt(c*x^2 + b*x)*B*b + 1/2*(c*x^2 + b*x)^(3/2)*B/x - 3*sqrt(c*x^2 + b*x)*A*b/x + (c*x^2 + b*x)^(3/2)*A/x^2","A",0
86,1,146,0,1.001310," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^4,x, algorithm=""maxima"")","\frac{3}{2} \, B b \sqrt{c} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) + A c^{\frac{3}{2}} \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 b}{x} - \frac{7 \, \sqrt{c x^{2} + b x} A c}{3 \, x} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{x^{2}} - \frac{\sqrt{c x^{2} + b x} A b}{3 \, x^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{3 \, x^{3}}"," ",0,"3/2*B*b*sqrt(c)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) + A*c^(3/2)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) - 3*sqrt(c*x^2 + b*x)*B*b/x - 7/3*sqrt(c*x^2 + b*x)*A*c/x + (c*x^2 + b*x)^(3/2)*B/x^2 - 1/3*sqrt(c*x^2 + b*x)*A*b/x^2 - 1/3*(c*x^2 + b*x)^(3/2)*A/x^3","A",0
87,1,158,0,0.952230," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^5,x, algorithm=""maxima"")","B 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} B c}{3 \, x} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{2}}{5 \, b x} - \frac{\sqrt{c x^{2} + b x} B b}{3 \, x^{2}} + \frac{\sqrt{c x^{2} + b x} A c}{5 \, x^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{3 \, x^{3}} + \frac{3 \, \sqrt{c x^{2} + b x} A b}{5 \, x^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{x^{4}}"," ",0,"B*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)*B*c/x - 2/5*sqrt(c*x^2 + b*x)*A*c^2/(b*x) - 1/3*sqrt(c*x^2 + b*x)*B*b/x^2 + 1/5*sqrt(c*x^2 + b*x)*A*c/x^2 - 1/3*(c*x^2 + b*x)^(3/2)*B/x^3 + 3/5*sqrt(c*x^2 + b*x)*A*b/x^3 - (c*x^2 + b*x)^(3/2)*A/x^4","A",0
88,1,176,0,0.943661," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^6,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{c x^{2} + b x} B c^{2}}{5 \, b x} + \frac{4 \, \sqrt{c x^{2} + b x} A c^{3}}{35 \, b^{2} x} + \frac{\sqrt{c x^{2} + b x} B c}{5 \, x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{2}}{35 \, b x^{2}} + \frac{3 \, \sqrt{c x^{2} + b x} B b}{5 \, x^{3}} + \frac{3 \, \sqrt{c x^{2} + b x} A c}{70 \, x^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{x^{4}} + \frac{3 \, \sqrt{c x^{2} + b x} A b}{14 \, x^{4}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{2 \, x^{5}}"," ",0,"-2/5*sqrt(c*x^2 + b*x)*B*c^2/(b*x) + 4/35*sqrt(c*x^2 + b*x)*A*c^3/(b^2*x) + 1/5*sqrt(c*x^2 + b*x)*B*c/x^2 - 2/35*sqrt(c*x^2 + b*x)*A*c^2/(b*x^2) + 3/5*sqrt(c*x^2 + b*x)*B*b/x^3 + 3/70*sqrt(c*x^2 + b*x)*A*c/x^3 - (c*x^2 + b*x)^(3/2)*B/x^4 + 3/14*sqrt(c*x^2 + b*x)*A*b/x^4 - 1/2*(c*x^2 + b*x)^(3/2)*A/x^5","B",0
89,1,222,0,0.978304," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^7,x, algorithm=""maxima"")","\frac{4 \, \sqrt{c x^{2} + b x} B c^{3}}{35 \, b^{2} x} - \frac{16 \, \sqrt{c x^{2} + b x} A c^{4}}{315 \, b^{3} x} - \frac{2 \, \sqrt{c x^{2} + b x} B c^{2}}{35 \, b x^{2}} + \frac{8 \, \sqrt{c x^{2} + b x} A c^{3}}{315 \, b^{2} x^{2}} + \frac{3 \, \sqrt{c x^{2} + b x} B c}{70 \, x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{2}}{105 \, b x^{3}} + \frac{3 \, \sqrt{c x^{2} + b x} B b}{14 \, x^{4}} + \frac{\sqrt{c x^{2} + b x} A c}{63 \, x^{4}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{2 \, x^{5}} + \frac{\sqrt{c x^{2} + b x} A b}{9 \, x^{5}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{3 \, x^{6}}"," ",0,"4/35*sqrt(c*x^2 + b*x)*B*c^3/(b^2*x) - 16/315*sqrt(c*x^2 + b*x)*A*c^4/(b^3*x) - 2/35*sqrt(c*x^2 + b*x)*B*c^2/(b*x^2) + 8/315*sqrt(c*x^2 + b*x)*A*c^3/(b^2*x^2) + 3/70*sqrt(c*x^2 + b*x)*B*c/x^3 - 2/105*sqrt(c*x^2 + b*x)*A*c^2/(b*x^3) + 3/14*sqrt(c*x^2 + b*x)*B*b/x^4 + 1/63*sqrt(c*x^2 + b*x)*A*c/x^4 - 1/2*(c*x^2 + b*x)^(3/2)*B/x^5 + 1/9*sqrt(c*x^2 + b*x)*A*b/x^5 - 1/3*(c*x^2 + b*x)^(3/2)*A/x^6","B",0
90,1,268,0,0.960458," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^8,x, algorithm=""maxima"")","-\frac{16 \, \sqrt{c x^{2} + b x} B c^{4}}{315 \, b^{3} x} + \frac{32 \, \sqrt{c x^{2} + b x} A c^{5}}{1155 \, b^{4} x} + \frac{8 \, \sqrt{c x^{2} + b x} B c^{3}}{315 \, b^{2} x^{2}} - \frac{16 \, \sqrt{c x^{2} + b x} A c^{4}}{1155 \, b^{3} x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} B c^{2}}{105 \, b x^{3}} + \frac{4 \, \sqrt{c x^{2} + b x} A c^{3}}{385 \, b^{2} x^{3}} + \frac{\sqrt{c x^{2} + b x} B c}{63 \, x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{2}}{231 \, b x^{4}} + \frac{\sqrt{c x^{2} + b x} B b}{9 \, x^{5}} + \frac{\sqrt{c x^{2} + b x} A c}{132 \, x^{5}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{3 \, x^{6}} + \frac{3 \, \sqrt{c x^{2} + b x} A b}{44 \, x^{6}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{4 \, x^{7}}"," ",0,"-16/315*sqrt(c*x^2 + b*x)*B*c^4/(b^3*x) + 32/1155*sqrt(c*x^2 + b*x)*A*c^5/(b^4*x) + 8/315*sqrt(c*x^2 + b*x)*B*c^3/(b^2*x^2) - 16/1155*sqrt(c*x^2 + b*x)*A*c^4/(b^3*x^2) - 2/105*sqrt(c*x^2 + b*x)*B*c^2/(b*x^3) + 4/385*sqrt(c*x^2 + b*x)*A*c^3/(b^2*x^3) + 1/63*sqrt(c*x^2 + b*x)*B*c/x^4 - 2/231*sqrt(c*x^2 + b*x)*A*c^2/(b*x^4) + 1/9*sqrt(c*x^2 + b*x)*B*b/x^5 + 1/132*sqrt(c*x^2 + b*x)*A*c/x^5 - 1/3*(c*x^2 + b*x)^(3/2)*B/x^6 + 3/44*sqrt(c*x^2 + b*x)*A*b/x^6 - 1/4*(c*x^2 + b*x)^(3/2)*A/x^7","B",0
91,1,314,0,1.010954," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^9,x, algorithm=""maxima"")","\frac{32 \, \sqrt{c x^{2} + b x} B c^{5}}{1155 \, b^{4} x} - \frac{256 \, \sqrt{c x^{2} + b x} A c^{6}}{15015 \, b^{5} x} - \frac{16 \, \sqrt{c x^{2} + b x} B c^{4}}{1155 \, b^{3} x^{2}} + \frac{128 \, \sqrt{c x^{2} + b x} A c^{5}}{15015 \, b^{4} x^{2}} + \frac{4 \, \sqrt{c x^{2} + b x} B c^{3}}{385 \, b^{2} x^{3}} - \frac{32 \, \sqrt{c x^{2} + b x} A c^{4}}{5005 \, b^{3} x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} B c^{2}}{231 \, b x^{4}} + \frac{16 \, \sqrt{c x^{2} + b x} A c^{3}}{3003 \, b^{2} x^{4}} + \frac{\sqrt{c x^{2} + b x} B c}{132 \, x^{5}} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{2}}{429 \, b x^{5}} + \frac{3 \, \sqrt{c x^{2} + b x} B b}{44 \, x^{6}} + \frac{3 \, \sqrt{c x^{2} + b x} A c}{715 \, x^{6}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{4 \, x^{7}} + \frac{3 \, \sqrt{c x^{2} + b x} A b}{65 \, x^{7}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{5 \, x^{8}}"," ",0,"32/1155*sqrt(c*x^2 + b*x)*B*c^5/(b^4*x) - 256/15015*sqrt(c*x^2 + b*x)*A*c^6/(b^5*x) - 16/1155*sqrt(c*x^2 + b*x)*B*c^4/(b^3*x^2) + 128/15015*sqrt(c*x^2 + b*x)*A*c^5/(b^4*x^2) + 4/385*sqrt(c*x^2 + b*x)*B*c^3/(b^2*x^3) - 32/5005*sqrt(c*x^2 + b*x)*A*c^4/(b^3*x^3) - 2/231*sqrt(c*x^2 + b*x)*B*c^2/(b*x^4) + 16/3003*sqrt(c*x^2 + b*x)*A*c^3/(b^2*x^4) + 1/132*sqrt(c*x^2 + b*x)*B*c/x^5 - 2/429*sqrt(c*x^2 + b*x)*A*c^2/(b*x^5) + 3/44*sqrt(c*x^2 + b*x)*B*b/x^6 + 3/715*sqrt(c*x^2 + b*x)*A*c/x^6 - 1/4*(c*x^2 + b*x)^(3/2)*B/x^7 + 3/65*sqrt(c*x^2 + b*x)*A*b/x^7 - 1/5*(c*x^2 + b*x)^(3/2)*A/x^8","B",0
92,1,360,0,0.975472," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^10,x, algorithm=""maxima"")","-\frac{256 \, \sqrt{c x^{2} + b x} B c^{6}}{15015 \, b^{5} x} + \frac{512 \, \sqrt{c x^{2} + b x} A c^{7}}{45045 \, b^{6} x} + \frac{128 \, \sqrt{c x^{2} + b x} B c^{5}}{15015 \, b^{4} x^{2}} - \frac{256 \, \sqrt{c x^{2} + b x} A c^{6}}{45045 \, b^{5} x^{2}} - \frac{32 \, \sqrt{c x^{2} + b x} B c^{4}}{5005 \, b^{3} x^{3}} + \frac{64 \, \sqrt{c x^{2} + b x} A c^{5}}{15015 \, b^{4} x^{3}} + \frac{16 \, \sqrt{c x^{2} + b x} B c^{3}}{3003 \, b^{2} x^{4}} - \frac{32 \, \sqrt{c x^{2} + b x} A c^{4}}{9009 \, b^{3} x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} B c^{2}}{429 \, b x^{5}} + \frac{4 \, \sqrt{c x^{2} + b x} A c^{3}}{1287 \, b^{2} x^{5}} + \frac{3 \, \sqrt{c x^{2} + b x} B c}{715 \, x^{6}} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{2}}{715 \, b x^{6}} + \frac{3 \, \sqrt{c x^{2} + b x} B b}{65 \, x^{7}} + \frac{\sqrt{c x^{2} + b x} A c}{390 \, x^{7}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{5 \, x^{8}} + \frac{\sqrt{c x^{2} + b x} A b}{30 \, x^{8}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A}{6 \, x^{9}}"," ",0,"-256/15015*sqrt(c*x^2 + b*x)*B*c^6/(b^5*x) + 512/45045*sqrt(c*x^2 + b*x)*A*c^7/(b^6*x) + 128/15015*sqrt(c*x^2 + b*x)*B*c^5/(b^4*x^2) - 256/45045*sqrt(c*x^2 + b*x)*A*c^6/(b^5*x^2) - 32/5005*sqrt(c*x^2 + b*x)*B*c^4/(b^3*x^3) + 64/15015*sqrt(c*x^2 + b*x)*A*c^5/(b^4*x^3) + 16/3003*sqrt(c*x^2 + b*x)*B*c^3/(b^2*x^4) - 32/9009*sqrt(c*x^2 + b*x)*A*c^4/(b^3*x^4) - 2/429*sqrt(c*x^2 + b*x)*B*c^2/(b*x^5) + 4/1287*sqrt(c*x^2 + b*x)*A*c^3/(b^2*x^5) + 3/715*sqrt(c*x^2 + b*x)*B*c/x^6 - 2/715*sqrt(c*x^2 + b*x)*A*c^2/(b*x^6) + 3/65*sqrt(c*x^2 + b*x)*B*b/x^7 + 1/390*sqrt(c*x^2 + b*x)*A*c/x^7 - 1/5*(c*x^2 + b*x)^(3/2)*B/x^8 + 1/30*sqrt(c*x^2 + b*x)*A*b/x^8 - 1/6*(c*x^2 + b*x)^(3/2)*A/x^9","B",0
93,1,452,0,0.970667," ","integrate(x^3*(B*x+A)*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} B x^{3}}{10 \, c} - \frac{13 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} B b x^{2}}{180 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} A x^{2}}{9 \, c} + \frac{143 \, \sqrt{c x^{2} + b x} B b^{8} x}{65536 \, c^{6}} - \frac{143 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{6} x}{24576 \, c^{5}} - \frac{55 \, \sqrt{c x^{2} + b x} A b^{7} x}{16384 \, c^{5}} + \frac{143 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{4} x}{7680 \, c^{4}} + \frac{55 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{5} x}{6144 \, c^{4}} + \frac{143 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} B b^{2} x}{2880 \, c^{3}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b^{3} x}{384 \, c^{3}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} A b x}{144 \, c^{2}} - \frac{143 \, B b^{10} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{262144 \, c^{\frac{15}{2}}} + \frac{55 \, A b^{9} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{65536 \, c^{\frac{13}{2}}} + \frac{143 \, \sqrt{c x^{2} + b x} B b^{9}}{131072 \, c^{7}} - \frac{143 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{7}}{49152 \, c^{6}} - \frac{55 \, \sqrt{c x^{2} + b x} A b^{8}}{32768 \, c^{6}} + \frac{143 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{5}}{15360 \, c^{5}} + \frac{55 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{6}}{12288 \, c^{5}} - \frac{143 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} B b^{3}}{4480 \, c^{4}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b^{4}}{768 \, c^{4}} + \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} A b^{2}}{224 \, c^{3}}"," ",0,"1/10*(c*x^2 + b*x)^(7/2)*B*x^3/c - 13/180*(c*x^2 + b*x)^(7/2)*B*b*x^2/c^2 + 1/9*(c*x^2 + b*x)^(7/2)*A*x^2/c + 143/65536*sqrt(c*x^2 + b*x)*B*b^8*x/c^6 - 143/24576*(c*x^2 + b*x)^(3/2)*B*b^6*x/c^5 - 55/16384*sqrt(c*x^2 + b*x)*A*b^7*x/c^5 + 143/7680*(c*x^2 + b*x)^(5/2)*B*b^4*x/c^4 + 55/6144*(c*x^2 + b*x)^(3/2)*A*b^5*x/c^4 + 143/2880*(c*x^2 + b*x)^(7/2)*B*b^2*x/c^3 - 11/384*(c*x^2 + b*x)^(5/2)*A*b^3*x/c^3 - 11/144*(c*x^2 + b*x)^(7/2)*A*b*x/c^2 - 143/262144*B*b^10*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(15/2) + 55/65536*A*b^9*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(13/2) + 143/131072*sqrt(c*x^2 + b*x)*B*b^9/c^7 - 143/49152*(c*x^2 + b*x)^(3/2)*B*b^7/c^6 - 55/32768*sqrt(c*x^2 + b*x)*A*b^8/c^6 + 143/15360*(c*x^2 + b*x)^(5/2)*B*b^5/c^5 + 55/12288*(c*x^2 + b*x)^(3/2)*A*b^6/c^5 - 143/4480*(c*x^2 + b*x)^(7/2)*B*b^3/c^4 - 11/768*(c*x^2 + b*x)^(5/2)*A*b^4/c^4 + 11/224*(c*x^2 + b*x)^(7/2)*A*b^2/c^3","A",0
94,1,406,0,0.963259," ","integrate(x^2*(B*x+A)*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} B x^{2}}{9 \, c} - \frac{55 \, \sqrt{c x^{2} + b x} B b^{7} x}{16384 \, c^{5}} + \frac{55 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{5} x}{6144 \, c^{4}} + \frac{45 \, \sqrt{c x^{2} + b x} A b^{6} x}{8192 \, c^{4}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{3} x}{384 \, c^{3}} - \frac{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{4} x}{1024 \, c^{3}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} B b x}{144 \, c^{2}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b^{2} x}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} A x}{8 \, c} + \frac{55 \, B b^{9} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{65536 \, c^{\frac{13}{2}}} - \frac{45 \, A b^{8} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{32768 \, c^{\frac{11}{2}}} - \frac{55 \, \sqrt{c x^{2} + b x} B b^{8}}{32768 \, c^{6}} + \frac{55 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{6}}{12288 \, c^{5}} + \frac{45 \, \sqrt{c x^{2} + b x} A b^{7}}{16384 \, c^{5}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{4}}{768 \, c^{4}} - \frac{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{5}}{2048 \, c^{4}} + \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} B b^{2}}{224 \, c^{3}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b^{3}}{128 \, c^{3}} - \frac{9 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} A b}{112 \, c^{2}}"," ",0,"1/9*(c*x^2 + b*x)^(7/2)*B*x^2/c - 55/16384*sqrt(c*x^2 + b*x)*B*b^7*x/c^5 + 55/6144*(c*x^2 + b*x)^(3/2)*B*b^5*x/c^4 + 45/8192*sqrt(c*x^2 + b*x)*A*b^6*x/c^4 - 11/384*(c*x^2 + b*x)^(5/2)*B*b^3*x/c^3 - 15/1024*(c*x^2 + b*x)^(3/2)*A*b^4*x/c^3 - 11/144*(c*x^2 + b*x)^(7/2)*B*b*x/c^2 + 3/64*(c*x^2 + b*x)^(5/2)*A*b^2*x/c^2 + 1/8*(c*x^2 + b*x)^(7/2)*A*x/c + 55/65536*B*b^9*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(13/2) - 45/32768*A*b^8*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) - 55/32768*sqrt(c*x^2 + b*x)*B*b^8/c^6 + 55/12288*(c*x^2 + b*x)^(3/2)*B*b^6/c^5 + 45/16384*sqrt(c*x^2 + b*x)*A*b^7/c^5 - 11/768*(c*x^2 + b*x)^(5/2)*B*b^4/c^4 - 15/2048*(c*x^2 + b*x)^(3/2)*A*b^5/c^4 + 11/224*(c*x^2 + b*x)^(7/2)*B*b^2/c^3 + 3/128*(c*x^2 + b*x)^(5/2)*A*b^3/c^3 - 9/112*(c*x^2 + b*x)^(7/2)*A*b/c^2","A",0
95,1,362,0,0.998116," ","integrate(x*(B*x+A)*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{45 \, \sqrt{c x^{2} + b x} B b^{6} x}{8192 \, c^{4}} - \frac{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{4} x}{1024 \, c^{3}} - \frac{5 \, \sqrt{c x^{2} + b x} A b^{5} x}{512 \, c^{3}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{2} x}{64 \, c^{2}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{3} x}{192 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} B x}{8 \, c} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b x}{12 \, c} - \frac{45 \, B b^{8} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{32768 \, c^{\frac{11}{2}}} + \frac{5 \, A b^{7} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2048 \, c^{\frac{9}{2}}} + \frac{45 \, \sqrt{c x^{2} + b x} B b^{7}}{16384 \, c^{5}} - \frac{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{5}}{2048 \, c^{4}} - \frac{5 \, \sqrt{c x^{2} + b x} A b^{6}}{1024 \, c^{4}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{3}}{128 \, c^{3}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{4}}{384 \, c^{3}} - \frac{9 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} B b}{112 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b^{2}}{24 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} A}{7 \, c}"," ",0,"45/8192*sqrt(c*x^2 + b*x)*B*b^6*x/c^4 - 15/1024*(c*x^2 + b*x)^(3/2)*B*b^4*x/c^3 - 5/512*sqrt(c*x^2 + b*x)*A*b^5*x/c^3 + 3/64*(c*x^2 + b*x)^(5/2)*B*b^2*x/c^2 + 5/192*(c*x^2 + b*x)^(3/2)*A*b^3*x/c^2 + 1/8*(c*x^2 + b*x)^(7/2)*B*x/c - 1/12*(c*x^2 + b*x)^(5/2)*A*b*x/c - 45/32768*B*b^8*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) + 5/2048*A*b^7*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) + 45/16384*sqrt(c*x^2 + b*x)*B*b^7/c^5 - 15/2048*(c*x^2 + b*x)^(3/2)*B*b^5/c^4 - 5/1024*sqrt(c*x^2 + b*x)*A*b^6/c^4 + 3/128*(c*x^2 + b*x)^(5/2)*B*b^3/c^3 + 5/384*(c*x^2 + b*x)^(3/2)*A*b^4/c^3 - 9/112*(c*x^2 + b*x)^(7/2)*B*b/c^2 - 1/24*(c*x^2 + b*x)^(5/2)*A*b^2/c^2 + 1/7*(c*x^2 + b*x)^(7/2)*A/c","B",0
96,1,318,0,0.938300," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A x - \frac{5 \, \sqrt{c x^{2} + b x} B b^{5} x}{512 \, c^{3}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{3} x}{192 \, c^{2}} + \frac{5 \, \sqrt{c x^{2} + b x} A b^{4} x}{256 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b x}{12 \, c} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{2} x}{96 \, c} + \frac{5 \, B b^{7} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2048 \, c^{\frac{9}{2}}} - \frac{5 \, A 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 b^{6}}{1024 \, c^{4}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{4}}{384 \, c^{3}} + \frac{5 \, \sqrt{c x^{2} + b x} A b^{5}}{512 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{2}}{24 \, c^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{3}}{192 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} B}{7 \, c} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b}{12 \, c}"," ",0,"1/6*(c*x^2 + b*x)^(5/2)*A*x - 5/512*sqrt(c*x^2 + b*x)*B*b^5*x/c^3 + 5/192*(c*x^2 + b*x)^(3/2)*B*b^3*x/c^2 + 5/256*sqrt(c*x^2 + b*x)*A*b^4*x/c^2 - 1/12*(c*x^2 + b*x)^(5/2)*B*b*x/c - 5/96*(c*x^2 + b*x)^(3/2)*A*b^2*x/c + 5/2048*B*b^7*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 5/1024*A*b^6*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 5/1024*sqrt(c*x^2 + b*x)*B*b^6/c^4 + 5/384*(c*x^2 + b*x)^(3/2)*B*b^4/c^3 + 5/512*sqrt(c*x^2 + b*x)*A*b^5/c^3 - 1/24*(c*x^2 + b*x)^(5/2)*B*b^2/c^2 - 5/192*(c*x^2 + b*x)^(3/2)*A*b^3/c^2 + 1/7*(c*x^2 + b*x)^(7/2)*B/c + 1/12*(c*x^2 + b*x)^(5/2)*A*b/c","B",0
97,1,271,0,0.966753," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B x + \frac{1}{8} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b x + \frac{5 \, \sqrt{c x^{2} + b x} B b^{4} x}{256 \, c^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2} x}{96 \, c} - \frac{3 \, \sqrt{c x^{2} + b x} A b^{3} x}{64 \, c} - \frac{5 \, B b^{6} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{7}{2}}} + \frac{3 \, A b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{5}{2}}} + \frac{1}{5} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A + \frac{5 \, \sqrt{c x^{2} + b x} B b^{5}}{512 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{3}}{192 \, c^{2}} - \frac{3 \, \sqrt{c x^{2} + b x} A b^{4}}{128 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b}{12 \, c} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{2}}{16 \, c}"," ",0,"1/6*(c*x^2 + b*x)^(5/2)*B*x + 1/8*(c*x^2 + b*x)^(3/2)*A*b*x + 5/256*sqrt(c*x^2 + b*x)*B*b^4*x/c^2 - 5/96*(c*x^2 + b*x)^(3/2)*B*b^2*x/c - 3/64*sqrt(c*x^2 + b*x)*A*b^3*x/c - 5/1024*B*b^6*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 3/256*A*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 1/5*(c*x^2 + b*x)^(5/2)*A + 5/512*sqrt(c*x^2 + b*x)*B*b^5/c^3 - 5/192*(c*x^2 + b*x)^(3/2)*B*b^3/c^2 - 3/128*sqrt(c*x^2 + b*x)*A*b^4/c^2 + 1/12*(c*x^2 + b*x)^(5/2)*B*b/c + 1/16*(c*x^2 + b*x)^(3/2)*A*b^2/c","A",0
98,1,226,0,0.939486," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^2,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b x + \frac{5}{32} \, \sqrt{c x^{2} + b x} A b^{2} x - \frac{3 \, \sqrt{c x^{2} + b x} B b^{3} x}{64 \, c} + \frac{3 \, B b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{5}{2}}} - \frac{5 \, A b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{3}{2}}} + \frac{1}{5} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B + \frac{5}{24} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b - \frac{3 \, \sqrt{c x^{2} + b x} B b^{4}}{128 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2}}{16 \, c} + \frac{5 \, \sqrt{c x^{2} + b x} A b^{3}}{64 \, c} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{4 \, x}"," ",0,"1/8*(c*x^2 + b*x)^(3/2)*B*b*x + 5/32*sqrt(c*x^2 + b*x)*A*b^2*x - 3/64*sqrt(c*x^2 + b*x)*B*b^3*x/c + 3/256*B*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 5/128*A*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 1/5*(c*x^2 + b*x)^(5/2)*B + 5/24*(c*x^2 + b*x)^(3/2)*A*b - 3/128*sqrt(c*x^2 + b*x)*B*b^4/c^2 + 1/16*(c*x^2 + b*x)^(3/2)*B*b^2/c + 5/64*sqrt(c*x^2 + b*x)*A*b^3/c + 1/4*(c*x^2 + b*x)^(5/2)*A/x","A",0
99,1,187,0,0.909651," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^3,x, algorithm=""maxima"")","\frac{5}{32} \, \sqrt{c x^{2} + b x} B b^{2} x - \frac{5 \, B b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{3}{2}}} + \frac{5 \, A b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, \sqrt{c}} + \frac{5}{24} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b + \frac{5}{8} \, \sqrt{c x^{2} + b x} A b^{2} + \frac{5 \, \sqrt{c x^{2} + b x} B b^{3}}{64 \, c} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{4 \, x} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{12 \, x} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{3 \, x^{2}}"," ",0,"5/32*sqrt(c*x^2 + b*x)*B*b^2*x - 5/128*B*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 5/16*A*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + 5/24*(c*x^2 + b*x)^(3/2)*B*b + 5/8*sqrt(c*x^2 + b*x)*A*b^2 + 5/64*sqrt(c*x^2 + b*x)*B*b^3/c + 1/4*(c*x^2 + b*x)^(5/2)*B/x + 5/12*(c*x^2 + b*x)^(3/2)*A*b/x + 1/3*(c*x^2 + b*x)^(5/2)*A/x^2","A",0
100,1,172,0,0.914386," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^4,x, algorithm=""maxima"")","\frac{5 \, B b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, \sqrt{c}} + \frac{15}{8} \, A b^{2} \sqrt{c} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) + \frac{5}{8} \, \sqrt{c x^{2} + b x} B b^{2} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{12 \, x} - \frac{15 \, \sqrt{c x^{2} + b x} A b^{2}}{4 \, x} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{3 \, x^{2}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{4 \, x^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{2 \, x^{3}}"," ",0,"5/16*B*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + 15/8*A*b^2*sqrt(c)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) + 5/8*sqrt(c*x^2 + b*x)*B*b^2 + 5/12*(c*x^2 + b*x)^(3/2)*B*b/x - 15/4*sqrt(c*x^2 + b*x)*A*b^2/x + 1/3*(c*x^2 + b*x)^(5/2)*B/x^2 + 5/4*(c*x^2 + b*x)^(3/2)*A*b/x^2 + 1/2*(c*x^2 + b*x)^(5/2)*A/x^3","A",0
101,1,191,0,0.959888," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^5,x, algorithm=""maxima"")","\frac{15}{8} \, B b^{2} \sqrt{c} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) + \frac{5}{2} \, A b c^{\frac{3}{2}} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) - \frac{15 \, \sqrt{c x^{2} + b x} B b^{2}}{4 \, x} - \frac{35 \, \sqrt{c x^{2} + b x} A b c}{6 \, x} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{4 \, x^{2}} - \frac{5 \, \sqrt{c x^{2} + b x} A b^{2}}{6 \, x^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{2 \, x^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{6 \, x^{3}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{x^{4}}"," ",0,"15/8*B*b^2*sqrt(c)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) + 5/2*A*b*c^(3/2)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) - 15/4*sqrt(c*x^2 + b*x)*B*b^2/x - 35/6*sqrt(c*x^2 + b*x)*A*b*c/x + 5/4*(c*x^2 + b*x)^(3/2)*B*b/x^2 - 5/6*sqrt(c*x^2 + b*x)*A*b^2/x^2 + 1/2*(c*x^2 + b*x)^(5/2)*B/x^3 - 5/6*(c*x^2 + b*x)^(3/2)*A*b/x^3 + (c*x^2 + b*x)^(5/2)*A/x^4","A",0
102,1,244,0,0.980351," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^6,x, algorithm=""maxima"")","\frac{5}{2} \, B b c^{\frac{3}{2}} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) + A c^{\frac{5}{2}} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) - \frac{35 \, \sqrt{c x^{2} + b x} B b c}{6 \, x} - \frac{38 \, \sqrt{c x^{2} + b x} A c^{2}}{15 \, x} - \frac{5 \, \sqrt{c x^{2} + b x} B b^{2}}{6 \, x^{2}} - \frac{7 \, \sqrt{c x^{2} + b x} A b c}{30 \, x^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{6 \, x^{3}} + \frac{3 \, \sqrt{c x^{2} + b x} A b^{2}}{10 \, x^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A c}{3 \, x^{3}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{x^{4}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{2 \, x^{4}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{5 \, x^{5}}"," ",0,"5/2*B*b*c^(3/2)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) + A*c^(5/2)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) - 35/6*sqrt(c*x^2 + b*x)*B*b*c/x - 38/15*sqrt(c*x^2 + b*x)*A*c^2/x - 5/6*sqrt(c*x^2 + b*x)*B*b^2/x^2 - 7/30*sqrt(c*x^2 + b*x)*A*b*c/x^2 - 5/6*(c*x^2 + b*x)^(3/2)*B*b/x^3 + 3/10*sqrt(c*x^2 + b*x)*A*b^2/x^3 - 1/3*(c*x^2 + b*x)^(3/2)*A*c/x^3 + (c*x^2 + b*x)^(5/2)*B/x^4 - 1/2*(c*x^2 + b*x)^(3/2)*A*b/x^4 - 1/5*(c*x^2 + b*x)^(5/2)*A/x^5","A",0
103,1,258,0,0.907660," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^7,x, algorithm=""maxima"")","B c^{\frac{5}{2}} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) - \frac{38 \, \sqrt{c x^{2} + b x} B c^{2}}{15 \, x} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{3}}{7 \, b x} - \frac{7 \, \sqrt{c x^{2} + b x} B b c}{30 \, x^{2}} + \frac{\sqrt{c x^{2} + b x} A c^{2}}{7 \, x^{2}} + \frac{3 \, \sqrt{c x^{2} + b x} B b^{2}}{10 \, x^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B c}{3 \, x^{3}} - \frac{3 \, \sqrt{c x^{2} + b x} A b c}{28 \, x^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{2 \, x^{4}} - \frac{15 \, \sqrt{c x^{2} + b x} A b^{2}}{28 \, x^{4}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{5 \, x^{5}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{4 \, x^{5}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{x^{6}}"," ",0,"B*c^(5/2)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) - 38/15*sqrt(c*x^2 + b*x)*B*c^2/x - 2/7*sqrt(c*x^2 + b*x)*A*c^3/(b*x) - 7/30*sqrt(c*x^2 + b*x)*B*b*c/x^2 + 1/7*sqrt(c*x^2 + b*x)*A*c^2/x^2 + 3/10*sqrt(c*x^2 + b*x)*B*b^2/x^3 - 1/3*(c*x^2 + b*x)^(3/2)*B*c/x^3 - 3/28*sqrt(c*x^2 + b*x)*A*b*c/x^3 - 1/2*(c*x^2 + b*x)^(3/2)*B*b/x^4 - 15/28*sqrt(c*x^2 + b*x)*A*b^2/x^4 - 1/5*(c*x^2 + b*x)^(5/2)*B/x^5 + 5/4*(c*x^2 + b*x)^(3/2)*A*b/x^5 - (c*x^2 + b*x)^(5/2)*A/x^6","B",0
104,1,258,0,1.001462," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^8,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{c x^{2} + b x} B c^{3}}{7 \, b x} + \frac{4 \, \sqrt{c x^{2} + b x} A c^{4}}{63 \, b^{2} x} + \frac{\sqrt{c x^{2} + b x} B c^{2}}{7 \, x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{3}}{63 \, b x^{2}} - \frac{3 \, \sqrt{c x^{2} + b x} B b c}{28 \, x^{3}} + \frac{\sqrt{c x^{2} + b x} A c^{2}}{42 \, x^{3}} - \frac{15 \, \sqrt{c x^{2} + b x} B b^{2}}{28 \, x^{4}} - \frac{5 \, \sqrt{c x^{2} + b x} A b c}{252 \, x^{4}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{4 \, x^{5}} - \frac{5 \, \sqrt{c x^{2} + b x} A b^{2}}{36 \, x^{5}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{x^{6}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{12 \, x^{6}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{2 \, x^{7}}"," ",0,"-2/7*sqrt(c*x^2 + b*x)*B*c^3/(b*x) + 4/63*sqrt(c*x^2 + b*x)*A*c^4/(b^2*x) + 1/7*sqrt(c*x^2 + b*x)*B*c^2/x^2 - 2/63*sqrt(c*x^2 + b*x)*A*c^3/(b*x^2) - 3/28*sqrt(c*x^2 + b*x)*B*b*c/x^3 + 1/42*sqrt(c*x^2 + b*x)*A*c^2/x^3 - 15/28*sqrt(c*x^2 + b*x)*B*b^2/x^4 - 5/252*sqrt(c*x^2 + b*x)*A*b*c/x^4 + 5/4*(c*x^2 + b*x)^(3/2)*B*b/x^5 - 5/36*sqrt(c*x^2 + b*x)*A*b^2/x^5 - (c*x^2 + b*x)^(5/2)*B/x^6 + 5/12*(c*x^2 + b*x)^(3/2)*A*b/x^6 - 1/2*(c*x^2 + b*x)^(5/2)*A/x^7","B",0
105,1,304,0,0.968741," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^9,x, algorithm=""maxima"")","\frac{4 \, \sqrt{c x^{2} + b x} B c^{4}}{63 \, b^{2} x} - \frac{16 \, \sqrt{c x^{2} + b x} A c^{5}}{693 \, b^{3} x} - \frac{2 \, \sqrt{c x^{2} + b x} B c^{3}}{63 \, b x^{2}} + \frac{8 \, \sqrt{c x^{2} + b x} A c^{4}}{693 \, b^{2} x^{2}} + \frac{\sqrt{c x^{2} + b x} B c^{2}}{42 \, x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{3}}{231 \, b x^{3}} - \frac{5 \, \sqrt{c x^{2} + b x} B b c}{252 \, x^{4}} + \frac{5 \, \sqrt{c x^{2} + b x} A c^{2}}{693 \, x^{4}} - \frac{5 \, \sqrt{c x^{2} + b x} B b^{2}}{36 \, x^{5}} - \frac{5 \, \sqrt{c x^{2} + b x} A b c}{792 \, x^{5}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{12 \, x^{6}} - \frac{5 \, \sqrt{c x^{2} + b x} A b^{2}}{88 \, x^{6}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{2 \, x^{7}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{24 \, x^{7}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{3 \, x^{8}}"," ",0,"4/63*sqrt(c*x^2 + b*x)*B*c^4/(b^2*x) - 16/693*sqrt(c*x^2 + b*x)*A*c^5/(b^3*x) - 2/63*sqrt(c*x^2 + b*x)*B*c^3/(b*x^2) + 8/693*sqrt(c*x^2 + b*x)*A*c^4/(b^2*x^2) + 1/42*sqrt(c*x^2 + b*x)*B*c^2/x^3 - 2/231*sqrt(c*x^2 + b*x)*A*c^3/(b*x^3) - 5/252*sqrt(c*x^2 + b*x)*B*b*c/x^4 + 5/693*sqrt(c*x^2 + b*x)*A*c^2/x^4 - 5/36*sqrt(c*x^2 + b*x)*B*b^2/x^5 - 5/792*sqrt(c*x^2 + b*x)*A*b*c/x^5 + 5/12*(c*x^2 + b*x)^(3/2)*B*b/x^6 - 5/88*sqrt(c*x^2 + b*x)*A*b^2/x^6 - 1/2*(c*x^2 + b*x)^(5/2)*B/x^7 + 5/24*(c*x^2 + b*x)^(3/2)*A*b/x^7 - 1/3*(c*x^2 + b*x)^(5/2)*A/x^8","B",0
106,1,350,0,0.941694," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^10,x, algorithm=""maxima"")","-\frac{16 \, \sqrt{c x^{2} + b x} B c^{5}}{693 \, b^{3} x} + \frac{32 \, \sqrt{c x^{2} + b x} A c^{6}}{3003 \, b^{4} x} + \frac{8 \, \sqrt{c x^{2} + b x} B c^{4}}{693 \, b^{2} x^{2}} - \frac{16 \, \sqrt{c x^{2} + b x} A c^{5}}{3003 \, b^{3} x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} B c^{3}}{231 \, b x^{3}} + \frac{4 \, \sqrt{c x^{2} + b x} A c^{4}}{1001 \, b^{2} x^{3}} + \frac{5 \, \sqrt{c x^{2} + b x} B c^{2}}{693 \, x^{4}} - \frac{10 \, \sqrt{c x^{2} + b x} A c^{3}}{3003 \, b x^{4}} - \frac{5 \, \sqrt{c x^{2} + b x} B b c}{792 \, x^{5}} + \frac{5 \, \sqrt{c x^{2} + b x} A c^{2}}{1716 \, x^{5}} - \frac{5 \, \sqrt{c x^{2} + b x} B b^{2}}{88 \, x^{6}} - \frac{3 \, \sqrt{c x^{2} + b x} A b c}{1144 \, x^{6}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{24 \, x^{7}} - \frac{3 \, \sqrt{c x^{2} + b x} A b^{2}}{104 \, x^{7}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{3 \, x^{8}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{8 \, x^{8}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{4 \, x^{9}}"," ",0,"-16/693*sqrt(c*x^2 + b*x)*B*c^5/(b^3*x) + 32/3003*sqrt(c*x^2 + b*x)*A*c^6/(b^4*x) + 8/693*sqrt(c*x^2 + b*x)*B*c^4/(b^2*x^2) - 16/3003*sqrt(c*x^2 + b*x)*A*c^5/(b^3*x^2) - 2/231*sqrt(c*x^2 + b*x)*B*c^3/(b*x^3) + 4/1001*sqrt(c*x^2 + b*x)*A*c^4/(b^2*x^3) + 5/693*sqrt(c*x^2 + b*x)*B*c^2/x^4 - 10/3003*sqrt(c*x^2 + b*x)*A*c^3/(b*x^4) - 5/792*sqrt(c*x^2 + b*x)*B*b*c/x^5 + 5/1716*sqrt(c*x^2 + b*x)*A*c^2/x^5 - 5/88*sqrt(c*x^2 + b*x)*B*b^2/x^6 - 3/1144*sqrt(c*x^2 + b*x)*A*b*c/x^6 + 5/24*(c*x^2 + b*x)^(3/2)*B*b/x^7 - 3/104*sqrt(c*x^2 + b*x)*A*b^2/x^7 - 1/3*(c*x^2 + b*x)^(5/2)*B/x^8 + 1/8*(c*x^2 + b*x)^(3/2)*A*b/x^8 - 1/4*(c*x^2 + b*x)^(5/2)*A/x^9","B",0
107,1,396,0,0.934044," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^11,x, algorithm=""maxima"")","\frac{32 \, \sqrt{c x^{2} + b x} B c^{6}}{3003 \, b^{4} x} - \frac{256 \, \sqrt{c x^{2} + b x} A c^{7}}{45045 \, b^{5} x} - \frac{16 \, \sqrt{c x^{2} + b x} B c^{5}}{3003 \, b^{3} x^{2}} + \frac{128 \, \sqrt{c x^{2} + b x} A c^{6}}{45045 \, b^{4} x^{2}} + \frac{4 \, \sqrt{c x^{2} + b x} B c^{4}}{1001 \, b^{2} x^{3}} - \frac{32 \, \sqrt{c x^{2} + b x} A c^{5}}{15015 \, b^{3} x^{3}} - \frac{10 \, \sqrt{c x^{2} + b x} B c^{3}}{3003 \, b x^{4}} + \frac{16 \, \sqrt{c x^{2} + b x} A c^{4}}{9009 \, b^{2} x^{4}} + \frac{5 \, \sqrt{c x^{2} + b x} B c^{2}}{1716 \, x^{5}} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{3}}{1287 \, b x^{5}} - \frac{3 \, \sqrt{c x^{2} + b x} B b c}{1144 \, x^{6}} + \frac{\sqrt{c x^{2} + b x} A c^{2}}{715 \, x^{6}} - \frac{3 \, \sqrt{c x^{2} + b x} B b^{2}}{104 \, x^{7}} - \frac{\sqrt{c x^{2} + b x} A b c}{780 \, x^{7}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{8 \, x^{8}} - \frac{\sqrt{c x^{2} + b x} A b^{2}}{60 \, x^{8}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{4 \, x^{9}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{12 \, x^{9}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{5 \, x^{10}}"," ",0,"32/3003*sqrt(c*x^2 + b*x)*B*c^6/(b^4*x) - 256/45045*sqrt(c*x^2 + b*x)*A*c^7/(b^5*x) - 16/3003*sqrt(c*x^2 + b*x)*B*c^5/(b^3*x^2) + 128/45045*sqrt(c*x^2 + b*x)*A*c^6/(b^4*x^2) + 4/1001*sqrt(c*x^2 + b*x)*B*c^4/(b^2*x^3) - 32/15015*sqrt(c*x^2 + b*x)*A*c^5/(b^3*x^3) - 10/3003*sqrt(c*x^2 + b*x)*B*c^3/(b*x^4) + 16/9009*sqrt(c*x^2 + b*x)*A*c^4/(b^2*x^4) + 5/1716*sqrt(c*x^2 + b*x)*B*c^2/x^5 - 2/1287*sqrt(c*x^2 + b*x)*A*c^3/(b*x^5) - 3/1144*sqrt(c*x^2 + b*x)*B*b*c/x^6 + 1/715*sqrt(c*x^2 + b*x)*A*c^2/x^6 - 3/104*sqrt(c*x^2 + b*x)*B*b^2/x^7 - 1/780*sqrt(c*x^2 + b*x)*A*b*c/x^7 + 1/8*(c*x^2 + b*x)^(3/2)*B*b/x^8 - 1/60*sqrt(c*x^2 + b*x)*A*b^2/x^8 - 1/4*(c*x^2 + b*x)^(5/2)*B/x^9 + 1/12*(c*x^2 + b*x)^(3/2)*A*b/x^9 - 1/5*(c*x^2 + b*x)^(5/2)*A/x^10","B",0
108,1,442,0,1.092017," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^12,x, algorithm=""maxima"")","-\frac{256 \, \sqrt{c x^{2} + b x} B c^{7}}{45045 \, b^{5} x} + \frac{512 \, \sqrt{c x^{2} + b x} A c^{8}}{153153 \, b^{6} x} + \frac{128 \, \sqrt{c x^{2} + b x} B c^{6}}{45045 \, b^{4} x^{2}} - \frac{256 \, \sqrt{c x^{2} + b x} A c^{7}}{153153 \, b^{5} x^{2}} - \frac{32 \, \sqrt{c x^{2} + b x} B c^{5}}{15015 \, b^{3} x^{3}} + \frac{64 \, \sqrt{c x^{2} + b x} A c^{6}}{51051 \, b^{4} x^{3}} + \frac{16 \, \sqrt{c x^{2} + b x} B c^{4}}{9009 \, b^{2} x^{4}} - \frac{160 \, \sqrt{c x^{2} + b x} A c^{5}}{153153 \, b^{3} x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} B c^{3}}{1287 \, b x^{5}} + \frac{20 \, \sqrt{c x^{2} + b x} A c^{4}}{21879 \, b^{2} x^{5}} + \frac{\sqrt{c x^{2} + b x} B c^{2}}{715 \, x^{6}} - \frac{2 \, \sqrt{c x^{2} + b x} A c^{3}}{2431 \, b x^{6}} - \frac{\sqrt{c x^{2} + b x} B b c}{780 \, x^{7}} + \frac{\sqrt{c x^{2} + b x} A c^{2}}{1326 \, x^{7}} - \frac{\sqrt{c x^{2} + b x} B b^{2}}{60 \, x^{8}} - \frac{\sqrt{c x^{2} + b x} A b c}{1428 \, x^{8}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b}{12 \, x^{9}} - \frac{5 \, \sqrt{c x^{2} + b x} A b^{2}}{476 \, x^{9}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{5 \, x^{10}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{84 \, x^{10}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A}{6 \, x^{11}}"," ",0,"-256/45045*sqrt(c*x^2 + b*x)*B*c^7/(b^5*x) + 512/153153*sqrt(c*x^2 + b*x)*A*c^8/(b^6*x) + 128/45045*sqrt(c*x^2 + b*x)*B*c^6/(b^4*x^2) - 256/153153*sqrt(c*x^2 + b*x)*A*c^7/(b^5*x^2) - 32/15015*sqrt(c*x^2 + b*x)*B*c^5/(b^3*x^3) + 64/51051*sqrt(c*x^2 + b*x)*A*c^6/(b^4*x^3) + 16/9009*sqrt(c*x^2 + b*x)*B*c^4/(b^2*x^4) - 160/153153*sqrt(c*x^2 + b*x)*A*c^5/(b^3*x^4) - 2/1287*sqrt(c*x^2 + b*x)*B*c^3/(b*x^5) + 20/21879*sqrt(c*x^2 + b*x)*A*c^4/(b^2*x^5) + 1/715*sqrt(c*x^2 + b*x)*B*c^2/x^6 - 2/2431*sqrt(c*x^2 + b*x)*A*c^3/(b*x^6) - 1/780*sqrt(c*x^2 + b*x)*B*b*c/x^7 + 1/1326*sqrt(c*x^2 + b*x)*A*c^2/x^7 - 1/60*sqrt(c*x^2 + b*x)*B*b^2/x^8 - 1/1428*sqrt(c*x^2 + b*x)*A*b*c/x^8 + 1/12*(c*x^2 + b*x)^(3/2)*B*b/x^9 - 5/476*sqrt(c*x^2 + b*x)*A*b^2/x^9 - 1/5*(c*x^2 + b*x)^(5/2)*B/x^10 + 5/84*(c*x^2 + b*x)^(3/2)*A*b/x^10 - 1/6*(c*x^2 + b*x)^(5/2)*A/x^11","B",0
109,1,252,0,0.958324," ","integrate(x^4*(B*x+A)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} B x^{4}}{5 \, c} - \frac{9 \, \sqrt{c x^{2} + b x} B b x^{3}}{40 \, c^{2}} + \frac{\sqrt{c x^{2} + b x} A x^{3}}{4 \, c} + \frac{21 \, \sqrt{c x^{2} + b x} B b^{2} x^{2}}{80 \, c^{3}} - \frac{7 \, \sqrt{c x^{2} + b x} A b x^{2}}{24 \, c^{2}} - \frac{21 \, \sqrt{c x^{2} + b x} B b^{3} x}{64 \, c^{4}} + \frac{35 \, \sqrt{c x^{2} + b x} A b^{2} x}{96 \, c^{3}} - \frac{63 \, B b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{11}{2}}} + \frac{35 \, A b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{9}{2}}} + \frac{63 \, \sqrt{c x^{2} + b x} B b^{4}}{128 \, c^{5}} - \frac{35 \, \sqrt{c x^{2} + b x} A b^{3}}{64 \, c^{4}}"," ",0,"1/5*sqrt(c*x^2 + b*x)*B*x^4/c - 9/40*sqrt(c*x^2 + b*x)*B*b*x^3/c^2 + 1/4*sqrt(c*x^2 + b*x)*A*x^3/c + 21/80*sqrt(c*x^2 + b*x)*B*b^2*x^2/c^3 - 7/24*sqrt(c*x^2 + b*x)*A*b*x^2/c^2 - 21/64*sqrt(c*x^2 + b*x)*B*b^3*x/c^4 + 35/96*sqrt(c*x^2 + b*x)*A*b^2*x/c^3 - 63/256*B*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) + 35/128*A*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) + 63/128*sqrt(c*x^2 + b*x)*B*b^4/c^5 - 35/64*sqrt(c*x^2 + b*x)*A*b^3/c^4","A",0
110,1,206,0,0.872509," ","integrate(x^3*(B*x+A)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} B x^{3}}{4 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} B b x^{2}}{24 \, c^{2}} + \frac{\sqrt{c x^{2} + b x} A x^{2}}{3 \, c} + \frac{35 \, \sqrt{c x^{2} + b x} B b^{2} x}{96 \, c^{3}} - \frac{5 \, \sqrt{c x^{2} + b x} A b x}{12 \, c^{2}} + \frac{35 \, B b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{9}{2}}} - \frac{5 \, A b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{7}{2}}} - \frac{35 \, \sqrt{c x^{2} + b x} B b^{3}}{64 \, c^{4}} + \frac{5 \, \sqrt{c x^{2} + b x} A b^{2}}{8 \, c^{3}}"," ",0,"1/4*sqrt(c*x^2 + b*x)*B*x^3/c - 7/24*sqrt(c*x^2 + b*x)*B*b*x^2/c^2 + 1/3*sqrt(c*x^2 + b*x)*A*x^2/c + 35/96*sqrt(c*x^2 + b*x)*B*b^2*x/c^3 - 5/12*sqrt(c*x^2 + b*x)*A*b*x/c^2 + 35/128*B*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 5/16*A*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 35/64*sqrt(c*x^2 + b*x)*B*b^3/c^4 + 5/8*sqrt(c*x^2 + b*x)*A*b^2/c^3","A",0
111,1,160,0,0.923791," ","integrate(x^2*(B*x+A)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} B x^{2}}{3 \, c} - \frac{5 \, \sqrt{c x^{2} + b x} B b x}{12 \, c^{2}} + \frac{\sqrt{c x^{2} + b x} A x}{2 \, c} - \frac{5 \, B b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{7}{2}}} + \frac{3 \, A b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{5}{2}}} + \frac{5 \, \sqrt{c x^{2} + b x} B b^{2}}{8 \, c^{3}} - \frac{3 \, \sqrt{c x^{2} + b x} A b}{4 \, c^{2}}"," ",0,"1/3*sqrt(c*x^2 + b*x)*B*x^2/c - 5/12*sqrt(c*x^2 + b*x)*B*b*x/c^2 + 1/2*sqrt(c*x^2 + b*x)*A*x/c - 5/16*B*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 3/8*A*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 5/8*sqrt(c*x^2 + b*x)*B*b^2/c^3 - 3/4*sqrt(c*x^2 + b*x)*A*b/c^2","A",0
112,1,115,0,0.789746," ","integrate(x*(B*x+A)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} B x}{2 \, c} + \frac{3 \, B b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{5}{2}}} - \frac{A b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{3}{2}}} - \frac{3 \, \sqrt{c x^{2} + b x} B b}{4 \, c^{2}} + \frac{\sqrt{c x^{2} + b x} A}{c}"," ",0,"1/2*sqrt(c*x^2 + b*x)*B*x/c + 3/8*B*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 1/2*A*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) - 3/4*sqrt(c*x^2 + b*x)*B*b/c^2 + sqrt(c*x^2 + b*x)*A/c","A",0
113,1,75,0,0.904103," ","integrate((B*x+A)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{B b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{3}{2}}} + \frac{A \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}} + \frac{\sqrt{c x^{2} + b x} B}{c}"," ",0,"-1/2*B*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + A*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + sqrt(c*x^2 + b*x)*B/c","A",0
114,1,49,0,0.734077," ","integrate((B*x+A)/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)}{\sqrt{c}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{b x}"," ",0,"B*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) - 2*sqrt(c*x^2 + b*x)*A/(b*x)","A",0
115,1,62,0,0.870759," ","integrate((B*x+A)/x^2/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{c x^{2} + b x} B}{b x} + \frac{4 \, \sqrt{c x^{2} + b x} A c}{3 \, b^{2} x} - \frac{2 \, \sqrt{c x^{2} + b x} A}{3 \, b x^{2}}"," ",0,"-2*sqrt(c*x^2 + b*x)*B/(b*x) + 4/3*sqrt(c*x^2 + b*x)*A*c/(b^2*x) - 2/3*sqrt(c*x^2 + b*x)*A/(b*x^2)","A",0
116,1,106,0,0.915405," ","integrate((B*x+A)/x^3/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{4 \, \sqrt{c x^{2} + b x} B c}{3 \, b^{2} x} - \frac{16 \, \sqrt{c x^{2} + b x} A c^{2}}{15 \, b^{3} x} - \frac{2 \, \sqrt{c x^{2} + b x} B}{3 \, b x^{2}} + \frac{8 \, \sqrt{c x^{2} + b x} A c}{15 \, b^{2} x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{5 \, b x^{3}}"," ",0,"4/3*sqrt(c*x^2 + b*x)*B*c/(b^2*x) - 16/15*sqrt(c*x^2 + b*x)*A*c^2/(b^3*x) - 2/3*sqrt(c*x^2 + b*x)*B/(b*x^2) + 8/15*sqrt(c*x^2 + b*x)*A*c/(b^2*x^2) - 2/5*sqrt(c*x^2 + b*x)*A/(b*x^3)","A",0
117,1,152,0,0.926003," ","integrate((B*x+A)/x^4/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{16 \, \sqrt{c x^{2} + b x} B c^{2}}{15 \, b^{3} x} + \frac{32 \, \sqrt{c x^{2} + b x} A c^{3}}{35 \, b^{4} x} + \frac{8 \, \sqrt{c x^{2} + b x} B c}{15 \, b^{2} x^{2}} - \frac{16 \, \sqrt{c x^{2} + b x} A c^{2}}{35 \, b^{3} x^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} B}{5 \, b x^{3}} + \frac{12 \, \sqrt{c x^{2} + b x} A c}{35 \, b^{2} x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{7 \, b x^{4}}"," ",0,"-16/15*sqrt(c*x^2 + b*x)*B*c^2/(b^3*x) + 32/35*sqrt(c*x^2 + b*x)*A*c^3/(b^4*x) + 8/15*sqrt(c*x^2 + b*x)*B*c/(b^2*x^2) - 16/35*sqrt(c*x^2 + b*x)*A*c^2/(b^3*x^2) - 2/5*sqrt(c*x^2 + b*x)*B/(b*x^3) + 12/35*sqrt(c*x^2 + b*x)*A*c/(b^2*x^3) - 2/7*sqrt(c*x^2 + b*x)*A/(b*x^4)","A",0
118,1,198,0,0.893368," ","integrate((B*x+A)/x^5/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{32 \, \sqrt{c x^{2} + b x} B c^{3}}{35 \, b^{4} x} - \frac{256 \, \sqrt{c x^{2} + b x} A c^{4}}{315 \, b^{5} x} - \frac{16 \, \sqrt{c x^{2} + b x} B c^{2}}{35 \, b^{3} x^{2}} + \frac{128 \, \sqrt{c x^{2} + b x} A c^{3}}{315 \, b^{4} x^{2}} + \frac{12 \, \sqrt{c x^{2} + b x} B c}{35 \, b^{2} x^{3}} - \frac{32 \, \sqrt{c x^{2} + b x} A c^{2}}{105 \, b^{3} x^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} B}{7 \, b x^{4}} + \frac{16 \, \sqrt{c x^{2} + b x} A c}{63 \, b^{2} x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{9 \, b x^{5}}"," ",0,"32/35*sqrt(c*x^2 + b*x)*B*c^3/(b^4*x) - 256/315*sqrt(c*x^2 + b*x)*A*c^4/(b^5*x) - 16/35*sqrt(c*x^2 + b*x)*B*c^2/(b^3*x^2) + 128/315*sqrt(c*x^2 + b*x)*A*c^3/(b^4*x^2) + 12/35*sqrt(c*x^2 + b*x)*B*c/(b^2*x^3) - 32/105*sqrt(c*x^2 + b*x)*A*c^2/(b^3*x^3) - 2/7*sqrt(c*x^2 + b*x)*B/(b*x^4) + 16/63*sqrt(c*x^2 + b*x)*A*c/(b^2*x^4) - 2/9*sqrt(c*x^2 + b*x)*A/(b*x^5)","A",0
119,1,244,0,0.954490," ","integrate((B*x+A)/x^6/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{256 \, \sqrt{c x^{2} + b x} B c^{4}}{315 \, b^{5} x} + \frac{512 \, \sqrt{c x^{2} + b x} A c^{5}}{693 \, b^{6} x} + \frac{128 \, \sqrt{c x^{2} + b x} B c^{3}}{315 \, b^{4} x^{2}} - \frac{256 \, \sqrt{c x^{2} + b x} A c^{4}}{693 \, b^{5} x^{2}} - \frac{32 \, \sqrt{c x^{2} + b x} B c^{2}}{105 \, b^{3} x^{3}} + \frac{64 \, \sqrt{c x^{2} + b x} A c^{3}}{231 \, b^{4} x^{3}} + \frac{16 \, \sqrt{c x^{2} + b x} B c}{63 \, b^{2} x^{4}} - \frac{160 \, \sqrt{c x^{2} + b x} A c^{2}}{693 \, b^{3} x^{4}} - \frac{2 \, \sqrt{c x^{2} + b x} B}{9 \, b x^{5}} + \frac{20 \, \sqrt{c x^{2} + b x} A c}{99 \, b^{2} x^{5}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{11 \, b x^{6}}"," ",0,"-256/315*sqrt(c*x^2 + b*x)*B*c^4/(b^5*x) + 512/693*sqrt(c*x^2 + b*x)*A*c^5/(b^6*x) + 128/315*sqrt(c*x^2 + b*x)*B*c^3/(b^4*x^2) - 256/693*sqrt(c*x^2 + b*x)*A*c^4/(b^5*x^2) - 32/105*sqrt(c*x^2 + b*x)*B*c^2/(b^3*x^3) + 64/231*sqrt(c*x^2 + b*x)*A*c^3/(b^4*x^3) + 16/63*sqrt(c*x^2 + b*x)*B*c/(b^2*x^4) - 160/693*sqrt(c*x^2 + b*x)*A*c^2/(b^3*x^4) - 2/9*sqrt(c*x^2 + b*x)*B/(b*x^5) + 20/99*sqrt(c*x^2 + b*x)*A*c/(b^2*x^5) - 2/11*sqrt(c*x^2 + b*x)*A/(b*x^6)","A",0
120,1,212,0,0.939156," ","integrate(x^4*(B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{B x^{4}}{3 \, \sqrt{c x^{2} + b x} c} - \frac{7 \, B b x^{3}}{12 \, \sqrt{c x^{2} + b x} c^{2}} + \frac{A x^{3}}{2 \, \sqrt{c x^{2} + b x} c} + \frac{35 \, B b^{2} x^{2}}{24 \, \sqrt{c x^{2} + b x} c^{3}} - \frac{5 \, A b x^{2}}{4 \, \sqrt{c x^{2} + b x} c^{2}} + \frac{35 \, B b^{3} x}{8 \, \sqrt{c x^{2} + b x} c^{4}} - \frac{15 \, A b^{2} x}{4 \, \sqrt{c x^{2} + b x} c^{3}} - \frac{35 \, B b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{9}{2}}} + \frac{15 \, A b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{7}{2}}}"," ",0,"1/3*B*x^4/(sqrt(c*x^2 + b*x)*c) - 7/12*B*b*x^3/(sqrt(c*x^2 + b*x)*c^2) + 1/2*A*x^3/(sqrt(c*x^2 + b*x)*c) + 35/24*B*b^2*x^2/(sqrt(c*x^2 + b*x)*c^3) - 5/4*A*b*x^2/(sqrt(c*x^2 + b*x)*c^2) + 35/8*B*b^3*x/(sqrt(c*x^2 + b*x)*c^4) - 15/4*A*b^2*x/(sqrt(c*x^2 + b*x)*c^3) - 35/16*B*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) + 15/8*A*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2)","A",0
121,1,163,0,0.944444," ","integrate(x^3*(B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{B x^{3}}{2 \, \sqrt{c x^{2} + b x} c} - \frac{5 \, B b x^{2}}{4 \, \sqrt{c x^{2} + b x} c^{2}} + \frac{A x^{2}}{\sqrt{c x^{2} + b x} c} - \frac{15 \, B b^{2} x}{4 \, \sqrt{c x^{2} + b x} c^{3}} + \frac{3 \, A b x}{\sqrt{c x^{2} + b x} c^{2}} + \frac{15 \, B b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{7}{2}}} - \frac{3 \, A b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{5}{2}}}"," ",0,"1/2*B*x^3/(sqrt(c*x^2 + b*x)*c) - 5/4*B*b*x^2/(sqrt(c*x^2 + b*x)*c^2) + A*x^2/(sqrt(c*x^2 + b*x)*c) - 15/4*B*b^2*x/(sqrt(c*x^2 + b*x)*c^3) + 3*A*b*x/(sqrt(c*x^2 + b*x)*c^2) + 15/8*B*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 3/2*A*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2)","A",0
122,1,115,0,0.883348," ","integrate(x^2*(B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{B x^{2}}{\sqrt{c x^{2} + b x} c} + \frac{3 \, B b x}{\sqrt{c x^{2} + b x} c^{2}} - \frac{2 \, A x}{\sqrt{c x^{2} + b x} c} - \frac{3 \, B b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{5}{2}}} + \frac{A \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{3}{2}}}"," ",0,"B*x^2/(sqrt(c*x^2 + b*x)*c) + 3*B*b*x/(sqrt(c*x^2 + b*x)*c^2) - 2*A*x/(sqrt(c*x^2 + b*x)*c) - 3/2*B*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + A*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2)","A",0
123,1,65,0,0.873434," ","integrate(x*(B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, A x}{\sqrt{c x^{2} + b x} b} - \frac{2 \, B x}{\sqrt{c x^{2} + b x} c} + \frac{B \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{3}{2}}}"," ",0,"2*A*x/(sqrt(c*x^2 + b*x)*b) - 2*B*x/(sqrt(c*x^2 + b*x)*c) + B*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2)","A",0
124,1,55,0,0.898292," ","integrate((B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, B x}{\sqrt{c x^{2} + b x} b} - \frac{4 \, A c x}{\sqrt{c x^{2} + b x} b^{2}} - \frac{2 \, A}{\sqrt{c x^{2} + b x} b}"," ",0,"2*B*x/(sqrt(c*x^2 + b*x)*b) - 4*A*c*x/(sqrt(c*x^2 + b*x)*b^2) - 2*A/(sqrt(c*x^2 + b*x)*b)","A",0
125,1,96,0,0.908185," ","integrate((B*x+A)/x/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, B c x}{\sqrt{c x^{2} + b x} b^{2}} + \frac{16 \, A c^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{2 \, B}{\sqrt{c x^{2} + b x} b} + \frac{8 \, A c}{3 \, \sqrt{c x^{2} + b x} b^{2}} - \frac{2 \, A}{3 \, \sqrt{c x^{2} + b x} b x}"," ",0,"-4*B*c*x/(sqrt(c*x^2 + b*x)*b^2) + 16/3*A*c^2*x/(sqrt(c*x^2 + b*x)*b^3) - 2*B/(sqrt(c*x^2 + b*x)*b) + 8/3*A*c/(sqrt(c*x^2 + b*x)*b^2) - 2/3*A/(sqrt(c*x^2 + b*x)*b*x)","A",0
126,1,142,0,0.921414," ","integrate((B*x+A)/x^2/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{16 \, B c^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{32 \, A c^{3} x}{5 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{8 \, B c}{3 \, \sqrt{c x^{2} + b x} b^{2}} - \frac{16 \, A c^{2}}{5 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{2 \, B}{3 \, \sqrt{c x^{2} + b x} b x} + \frac{4 \, A c}{5 \, \sqrt{c x^{2} + b x} b^{2} x} - \frac{2 \, A}{5 \, \sqrt{c x^{2} + b x} b x^{2}}"," ",0,"16/3*B*c^2*x/(sqrt(c*x^2 + b*x)*b^3) - 32/5*A*c^3*x/(sqrt(c*x^2 + b*x)*b^4) + 8/3*B*c/(sqrt(c*x^2 + b*x)*b^2) - 16/5*A*c^2/(sqrt(c*x^2 + b*x)*b^3) - 2/3*B/(sqrt(c*x^2 + b*x)*b*x) + 4/5*A*c/(sqrt(c*x^2 + b*x)*b^2*x) - 2/5*A/(sqrt(c*x^2 + b*x)*b*x^2)","A",0
127,1,188,0,0.922012," ","integrate((B*x+A)/x^3/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","-\frac{32 \, B c^{3} x}{5 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{256 \, A c^{4} x}{35 \, \sqrt{c x^{2} + b x} b^{5}} - \frac{16 \, B c^{2}}{5 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{128 \, A c^{3}}{35 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{4 \, B c}{5 \, \sqrt{c x^{2} + b x} b^{2} x} - \frac{32 \, A c^{2}}{35 \, \sqrt{c x^{2} + b x} b^{3} x} - \frac{2 \, B}{5 \, \sqrt{c x^{2} + b x} b x^{2}} + \frac{16 \, A c}{35 \, \sqrt{c x^{2} + b x} b^{2} x^{2}} - \frac{2 \, A}{7 \, \sqrt{c x^{2} + b x} b x^{3}}"," ",0,"-32/5*B*c^3*x/(sqrt(c*x^2 + b*x)*b^4) + 256/35*A*c^4*x/(sqrt(c*x^2 + b*x)*b^5) - 16/5*B*c^2/(sqrt(c*x^2 + b*x)*b^3) + 128/35*A*c^3/(sqrt(c*x^2 + b*x)*b^4) + 4/5*B*c/(sqrt(c*x^2 + b*x)*b^2*x) - 32/35*A*c^2/(sqrt(c*x^2 + b*x)*b^3*x) - 2/5*B/(sqrt(c*x^2 + b*x)*b*x^2) + 16/35*A*c/(sqrt(c*x^2 + b*x)*b^2*x^2) - 2/7*A/(sqrt(c*x^2 + b*x)*b*x^3)","A",0
128,1,234,0,0.520095," ","integrate((B*x+A)/x^4/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{256 \, B c^{4} x}{35 \, \sqrt{c x^{2} + b x} b^{5}} - \frac{512 \, A c^{5} x}{63 \, \sqrt{c x^{2} + b x} b^{6}} + \frac{128 \, B c^{3}}{35 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{256 \, A c^{4}}{63 \, \sqrt{c x^{2} + b x} b^{5}} - \frac{32 \, B c^{2}}{35 \, \sqrt{c x^{2} + b x} b^{3} x} + \frac{64 \, A c^{3}}{63 \, \sqrt{c x^{2} + b x} b^{4} x} + \frac{16 \, B c}{35 \, \sqrt{c x^{2} + b x} b^{2} x^{2}} - \frac{32 \, A c^{2}}{63 \, \sqrt{c x^{2} + b x} b^{3} x^{2}} - \frac{2 \, B}{7 \, \sqrt{c x^{2} + b x} b x^{3}} + \frac{20 \, A c}{63 \, \sqrt{c x^{2} + b x} b^{2} x^{3}} - \frac{2 \, A}{9 \, \sqrt{c x^{2} + b x} b x^{4}}"," ",0,"256/35*B*c^4*x/(sqrt(c*x^2 + b*x)*b^5) - 512/63*A*c^5*x/(sqrt(c*x^2 + b*x)*b^6) + 128/35*B*c^3/(sqrt(c*x^2 + b*x)*b^4) - 256/63*A*c^4/(sqrt(c*x^2 + b*x)*b^5) - 32/35*B*c^2/(sqrt(c*x^2 + b*x)*b^3*x) + 64/63*A*c^3/(sqrt(c*x^2 + b*x)*b^4*x) + 16/35*B*c/(sqrt(c*x^2 + b*x)*b^2*x^2) - 32/63*A*c^2/(sqrt(c*x^2 + b*x)*b^3*x^2) - 2/7*B/(sqrt(c*x^2 + b*x)*b*x^3) + 20/63*A*c/(sqrt(c*x^2 + b*x)*b^2*x^3) - 2/9*A/(sqrt(c*x^2 + b*x)*b*x^4)","A",0
129,1,362,0,0.684265," ","integrate(x^5*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{B x^{5}}{2 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{35 \, B b^{2} 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)}}{24 \, c^{2}} + \frac{5 \, A b 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)}}{6 \, c} - \frac{7 \, B b x^{4}}{4 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c^{2}} + \frac{A x^{4}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{35 \, B b^{2} x}{6 \, \sqrt{c x^{2} + b x} c^{4}} + \frac{10 \, A b x}{3 \, \sqrt{c x^{2} + b x} c^{3}} + \frac{35 \, B b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{9}{2}}} - \frac{5 \, A b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{7}{2}}} - \frac{35 \, \sqrt{c x^{2} + b x} B b}{12 \, c^{4}} + \frac{5 \, \sqrt{c x^{2} + b x} A}{3 \, c^{3}}"," ",0,"1/2*B*x^5/((c*x^2 + b*x)^(3/2)*c) - 35/24*B*b^2*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))/c^2 + 5/6*A*b*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))/c - 7/4*B*b*x^4/((c*x^2 + b*x)^(3/2)*c^2) + A*x^4/((c*x^2 + b*x)^(3/2)*c) - 35/6*B*b^2*x/(sqrt(c*x^2 + b*x)*c^4) + 10/3*A*b*x/(sqrt(c*x^2 + b*x)*c^3) + 35/8*B*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 5/2*A*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 35/12*sqrt(c*x^2 + b*x)*B*b/c^4 + 5/3*sqrt(c*x^2 + b*x)*A/c^3","B",0
130,1,310,0,0.596788," ","integrate(x^4*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, A 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{5 \, B b 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)}}{6 \, c} + \frac{B x^{4}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} + \frac{10 \, B b x}{3 \, \sqrt{c x^{2} + b x} c^{3}} - \frac{4 \, A x}{3 \, \sqrt{c x^{2} + b x} c^{2}} - \frac{5 \, B b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{7}{2}}} + \frac{A \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{5}{2}}} + \frac{5 \, \sqrt{c x^{2} + b x} B}{3 \, c^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} A}{3 \, b c^{2}}"," ",0,"-1/3*A*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)) + 5/6*B*b*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))/c + B*x^4/((c*x^2 + b*x)^(3/2)*c) + 10/3*B*b*x/(sqrt(c*x^2 + b*x)*c^3) - 4/3*A*x/(sqrt(c*x^2 + b*x)*c^2) - 5/2*B*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + A*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 5/3*sqrt(c*x^2 + b*x)*B/c^3 - 2/3*sqrt(c*x^2 + b*x)*A/(b*c^2)","B",0
131,1,221,0,0.665596," ","integrate(x^3*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, B 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{A x^{2}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{4 \, B x}{3 \, \sqrt{c x^{2} + b x} c^{2}} - \frac{A b x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c^{2}} + \frac{2 \, A x}{3 \, \sqrt{c x^{2} + b x} b c} + \frac{B \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{5}{2}}} + \frac{A}{3 \, \sqrt{c x^{2} + b x} c^{2}} - \frac{2 \, \sqrt{c x^{2} + b x} B}{3 \, b c^{2}}"," ",0,"-1/3*B*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)) - A*x^2/((c*x^2 + b*x)^(3/2)*c) - 4/3*B*x/(sqrt(c*x^2 + b*x)*c^2) - 1/3*A*b*x/((c*x^2 + b*x)^(3/2)*c^2) + 2/3*A*x/(sqrt(c*x^2 + b*x)*b*c) + B*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 1/3*A/(sqrt(c*x^2 + b*x)*c^2) - 2/3*sqrt(c*x^2 + b*x)*B/(b*c^2)","B",0
132,1,134,0,0.656119," ","integrate(x^2*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{B x^{2}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} + \frac{4 \, A x}{3 \, \sqrt{c x^{2} + b x} b^{2}} - \frac{B b x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c^{2}} - \frac{2 \, A x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} + \frac{2 \, B x}{3 \, \sqrt{c x^{2} + b x} b c} + \frac{B}{3 \, \sqrt{c x^{2} + b x} c^{2}} + \frac{2 \, A}{3 \, \sqrt{c x^{2} + b x} b c}"," ",0,"-B*x^2/((c*x^2 + b*x)^(3/2)*c) + 4/3*A*x/(sqrt(c*x^2 + b*x)*b^2) - 1/3*B*b*x/((c*x^2 + b*x)^(3/2)*c^2) - 2/3*A*x/((c*x^2 + b*x)^(3/2)*c) + 2/3*B*x/(sqrt(c*x^2 + b*x)*b*c) + 1/3*B/(sqrt(c*x^2 + b*x)*c^2) + 2/3*A/(sqrt(c*x^2 + b*x)*b*c)","B",0
133,1,111,0,0.515172," ","integrate(x*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{4 \, B x}{3 \, \sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, A x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{2 \, B x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{16 \, A c x}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{8 \, A}{3 \, \sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, B}{3 \, \sqrt{c x^{2} + b x} b c}"," ",0,"4/3*B*x/(sqrt(c*x^2 + b*x)*b^2) + 2/3*A*x/((c*x^2 + b*x)^(3/2)*b) - 2/3*B*x/((c*x^2 + b*x)^(3/2)*c) - 16/3*A*c*x/(sqrt(c*x^2 + b*x)*b^3) - 8/3*A/(sqrt(c*x^2 + b*x)*b^2) + 2/3*B/(sqrt(c*x^2 + b*x)*b*c)","A",0
134,1,130,0,0.566954," ","integrate((B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, B x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{16 \, B c x}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{4 \, A c x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, A c^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{8 \, B}{3 \, \sqrt{c x^{2} + b x} b^{2}} - \frac{2 \, A}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, A c}{3 \, \sqrt{c x^{2} + b x} b^{3}}"," ",0,"2/3*B*x/((c*x^2 + b*x)^(3/2)*b) - 16/3*B*c*x/(sqrt(c*x^2 + b*x)*b^3) - 4/3*A*c*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*A*c^2*x/(sqrt(c*x^2 + b*x)*b^4) - 8/3*B/(sqrt(c*x^2 + b*x)*b^2) - 2/3*A/((c*x^2 + b*x)^(3/2)*b) + 16/3*A*c/(sqrt(c*x^2 + b*x)*b^3)","B",0
135,1,176,0,0.711698," ","integrate((B*x+A)/x/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{4 \, B c x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, B c^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{32 \, A c^{2} x}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}} - \frac{256 \, A c^{3} x}{15 \, \sqrt{c x^{2} + b x} b^{5}} - \frac{2 \, B}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, B c}{3 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{16 \, A c}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} - \frac{128 \, A c^{2}}{15 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{2 \, A}{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b x}"," ",0,"-4/3*B*c*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*B*c^2*x/(sqrt(c*x^2 + b*x)*b^4) + 32/15*A*c^2*x/((c*x^2 + b*x)^(3/2)*b^3) - 256/15*A*c^3*x/(sqrt(c*x^2 + b*x)*b^5) - 2/3*B/((c*x^2 + b*x)^(3/2)*b) + 16/3*B*c/(sqrt(c*x^2 + b*x)*b^3) + 16/15*A*c/((c*x^2 + b*x)^(3/2)*b^2) - 128/15*A*c^2/(sqrt(c*x^2 + b*x)*b^4) - 2/5*A/((c*x^2 + b*x)^(3/2)*b*x)","B",0
136,1,224,0,0.592375," ","integrate((B*x+A)/x^2/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{32 \, B c^{2} x}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}} - \frac{256 \, B c^{3} x}{15 \, \sqrt{c x^{2} + b x} b^{5}} - \frac{64 \, A c^{3} x}{21 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4}} + \frac{512 \, A c^{4} x}{21 \, \sqrt{c x^{2} + b x} b^{6}} + \frac{16 \, B c}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} - \frac{128 \, B c^{2}}{15 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{32 \, A c^{2}}{21 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}} + \frac{256 \, A c^{3}}{21 \, \sqrt{c x^{2} + b x} b^{5}} - \frac{2 \, B}{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b x} + \frac{4 \, A c}{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} x} - \frac{2 \, A}{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b x^{2}}"," ",0,"32/15*B*c^2*x/((c*x^2 + b*x)^(3/2)*b^3) - 256/15*B*c^3*x/(sqrt(c*x^2 + b*x)*b^5) - 64/21*A*c^3*x/((c*x^2 + b*x)^(3/2)*b^4) + 512/21*A*c^4*x/(sqrt(c*x^2 + b*x)*b^6) + 16/15*B*c/((c*x^2 + b*x)^(3/2)*b^2) - 128/15*B*c^2/(sqrt(c*x^2 + b*x)*b^4) - 32/21*A*c^2/((c*x^2 + b*x)^(3/2)*b^3) + 256/21*A*c^3/(sqrt(c*x^2 + b*x)*b^5) - 2/5*B/((c*x^2 + b*x)^(3/2)*b*x) + 4/7*A*c/((c*x^2 + b*x)^(3/2)*b^2*x) - 2/7*A/((c*x^2 + b*x)^(3/2)*b*x^2)","A",0
137,1,270,0,0.505054," ","integrate((B*x+A)/x^3/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{64 \, B c^{3} x}{21 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4}} + \frac{512 \, B c^{4} x}{21 \, \sqrt{c x^{2} + b x} b^{6}} + \frac{256 \, A c^{4} x}{63 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{5}} - \frac{2048 \, A c^{5} x}{63 \, \sqrt{c x^{2} + b x} b^{7}} - \frac{32 \, B c^{2}}{21 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}} + \frac{256 \, B c^{3}}{21 \, \sqrt{c x^{2} + b x} b^{5}} + \frac{128 \, A c^{3}}{63 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4}} - \frac{1024 \, A c^{4}}{63 \, \sqrt{c x^{2} + b x} b^{6}} + \frac{4 \, B c}{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} x} - \frac{16 \, A c^{2}}{21 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} x} - \frac{2 \, B}{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b x^{2}} + \frac{8 \, A c}{21 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} x^{2}} - \frac{2 \, A}{9 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b x^{3}}"," ",0,"-64/21*B*c^3*x/((c*x^2 + b*x)^(3/2)*b^4) + 512/21*B*c^4*x/(sqrt(c*x^2 + b*x)*b^6) + 256/63*A*c^4*x/((c*x^2 + b*x)^(3/2)*b^5) - 2048/63*A*c^5*x/(sqrt(c*x^2 + b*x)*b^7) - 32/21*B*c^2/((c*x^2 + b*x)^(3/2)*b^3) + 256/21*B*c^3/(sqrt(c*x^2 + b*x)*b^5) + 128/63*A*c^3/((c*x^2 + b*x)^(3/2)*b^4) - 1024/63*A*c^4/(sqrt(c*x^2 + b*x)*b^6) + 4/7*B*c/((c*x^2 + b*x)^(3/2)*b^2*x) - 16/21*A*c^2/((c*x^2 + b*x)^(3/2)*b^3*x) - 2/7*B/((c*x^2 + b*x)^(3/2)*b*x^2) + 8/21*A*c/((c*x^2 + b*x)^(3/2)*b^2*x^2) - 2/9*A/((c*x^2 + b*x)^(3/2)*b*x^3)","A",0
138,1,210,0,0.605005," ","integrate((e*x+d)/(c*x^2+b*x)^(7/2),x, algorithm=""maxima"")","-\frac{4 \, c d x}{5 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2}} + \frac{64 \, c^{2} d x}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4}} - \frac{512 \, c^{3} d x}{15 \, \sqrt{c x^{2} + b x} b^{6}} + \frac{2 \, e x}{5 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b} - \frac{32 \, c e x}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}} + \frac{256 \, c^{2} e x}{15 \, \sqrt{c x^{2} + b x} b^{5}} - \frac{2 \, d}{5 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b} + \frac{32 \, c d}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}} - \frac{256 \, c^{2} d}{15 \, \sqrt{c x^{2} + b x} b^{5}} - \frac{16 \, e}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{128 \, c e}{15 \, \sqrt{c x^{2} + b x} b^{4}}"," ",0,"-4/5*c*d*x/((c*x^2 + b*x)^(5/2)*b^2) + 64/15*c^2*d*x/((c*x^2 + b*x)^(3/2)*b^4) - 512/15*c^3*d*x/(sqrt(c*x^2 + b*x)*b^6) + 2/5*e*x/((c*x^2 + b*x)^(5/2)*b) - 32/15*c*e*x/((c*x^2 + b*x)^(3/2)*b^3) + 256/15*c^2*e*x/(sqrt(c*x^2 + b*x)*b^5) - 2/5*d/((c*x^2 + b*x)^(5/2)*b) + 32/15*c*d/((c*x^2 + b*x)^(3/2)*b^3) - 256/15*c^2*d/(sqrt(c*x^2 + b*x)*b^5) - 16/15*e/((c*x^2 + b*x)^(3/2)*b^2) + 128/15*c*e/(sqrt(c*x^2 + b*x)*b^4)","B",0
139,1,292,0,0.629106," ","integrate((e*x+d)/(c*x^2+b*x)^(9/2),x, algorithm=""maxima"")","-\frac{4 \, c d x}{7 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} b^{2}} + \frac{96 \, c^{2} d x}{35 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{4}} - \frac{512 \, c^{3} d x}{35 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{6}} + \frac{4096 \, c^{4} d x}{35 \, \sqrt{c x^{2} + b x} b^{8}} + \frac{2 \, e x}{7 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} b} - \frac{48 \, c e x}{35 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{3}} + \frac{256 \, c^{2} e x}{35 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{5}} - \frac{2048 \, c^{3} e x}{35 \, \sqrt{c x^{2} + b x} b^{7}} - \frac{2 \, d}{7 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} b} + \frac{48 \, c d}{35 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{3}} - \frac{256 \, c^{2} d}{35 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{5}} + \frac{2048 \, c^{3} d}{35 \, \sqrt{c x^{2} + b x} b^{7}} - \frac{24 \, e}{35 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2}} + \frac{128 \, c e}{35 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4}} - \frac{1024 \, c^{2} e}{35 \, \sqrt{c x^{2} + b x} b^{6}}"," ",0,"-4/7*c*d*x/((c*x^2 + b*x)^(7/2)*b^2) + 96/35*c^2*d*x/((c*x^2 + b*x)^(5/2)*b^4) - 512/35*c^3*d*x/((c*x^2 + b*x)^(3/2)*b^6) + 4096/35*c^4*d*x/(sqrt(c*x^2 + b*x)*b^8) + 2/7*e*x/((c*x^2 + b*x)^(7/2)*b) - 48/35*c*e*x/((c*x^2 + b*x)^(5/2)*b^3) + 256/35*c^2*e*x/((c*x^2 + b*x)^(3/2)*b^5) - 2048/35*c^3*e*x/(sqrt(c*x^2 + b*x)*b^7) - 2/7*d/((c*x^2 + b*x)^(7/2)*b) + 48/35*c*d/((c*x^2 + b*x)^(5/2)*b^3) - 256/35*c^2*d/((c*x^2 + b*x)^(3/2)*b^5) + 2048/35*c^3*d/(sqrt(c*x^2 + b*x)*b^7) - 24/35*e/((c*x^2 + b*x)^(5/2)*b^2) + 128/35*c*e/((c*x^2 + b*x)^(3/2)*b^4) - 1024/35*c^2*e/(sqrt(c*x^2 + b*x)*b^6)","B",0
140,1,27,0,0.472806," ","integrate(x^(7/2)*(B*x+A)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2}{15} \, B c x^{\frac{15}{2}} + \frac{2}{11} \, A b x^{\frac{11}{2}} + \frac{2}{13} \, {\left(B b + A c\right)} x^{\frac{13}{2}}"," ",0,"2/15*B*c*x^(15/2) + 2/11*A*b*x^(11/2) + 2/13*(B*b + A*c)*x^(13/2)","A",0
141,1,27,0,0.555741," ","integrate(x^(5/2)*(B*x+A)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2}{13} \, B c x^{\frac{13}{2}} + \frac{2}{9} \, A b x^{\frac{9}{2}} + \frac{2}{11} \, {\left(B b + A c\right)} x^{\frac{11}{2}}"," ",0,"2/13*B*c*x^(13/2) + 2/9*A*b*x^(9/2) + 2/11*(B*b + A*c)*x^(11/2)","A",0
142,1,27,0,0.673431," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2}{11} \, B c x^{\frac{11}{2}} + \frac{2}{7} \, A b x^{\frac{7}{2}} + \frac{2}{9} \, {\left(B b + A c\right)} x^{\frac{9}{2}}"," ",0,"2/11*B*c*x^(11/2) + 2/7*A*b*x^(7/2) + 2/9*(B*b + A*c)*x^(9/2)","A",0
143,1,27,0,0.583342," ","integrate((B*x+A)*(c*x^2+b*x)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c x^{\frac{9}{2}} + \frac{2}{5} \, A b x^{\frac{5}{2}} + \frac{2}{7} \, {\left(B b + A c\right)} x^{\frac{7}{2}}"," ",0,"2/9*B*c*x^(9/2) + 2/5*A*b*x^(5/2) + 2/7*(B*b + A*c)*x^(7/2)","A",0
144,1,27,0,0.503106," ","integrate((B*x+A)*(c*x^2+b*x)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c x^{\frac{7}{2}} + \frac{2}{3} \, A b x^{\frac{3}{2}} + \frac{2}{5} \, {\left(B b + A c\right)} x^{\frac{5}{2}}"," ",0,"2/7*B*c*x^(7/2) + 2/3*A*b*x^(3/2) + 2/5*(B*b + A*c)*x^(5/2)","A",0
145,1,27,0,0.584209," ","integrate((B*x+A)*(c*x^2+b*x)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, B c x^{\frac{5}{2}} + 2 \, A b \sqrt{x} + \frac{2}{3} \, {\left(B b + A c\right)} x^{\frac{3}{2}}"," ",0,"2/5*B*c*x^(5/2) + 2*A*b*sqrt(x) + 2/3*(B*b + A*c)*x^(3/2)","A",0
146,1,27,0,0.706347," ","integrate((B*x+A)*(c*x^2+b*x)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{3} \, B c x^{\frac{3}{2}} - \frac{2 \, A b}{\sqrt{x}} + 2 \, {\left(B b + A c\right)} \sqrt{x}"," ",0,"2/3*B*c*x^(3/2) - 2*A*b/sqrt(x) + 2*(B*b + A*c)*sqrt(x)","A",0
147,1,27,0,0.589243," ","integrate((B*x+A)*(c*x^2+b*x)/x^(7/2),x, algorithm=""maxima"")","2 \, B c \sqrt{x} - \frac{2 \, {\left(A b + 3 \, {\left(B b + A c\right)} x\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2*B*c*sqrt(x) - 2/3*(A*b + 3*(B*b + A*c)*x)/x^(3/2)","A",0
148,1,27,0,0.508105," ","integrate((B*x+A)*(c*x^2+b*x)/x^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(15 \, B c x^{2} + 3 \, A b + 5 \, {\left(B b + A c\right)} x\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"-2/15*(15*B*c*x^2 + 3*A*b + 5*(B*b + A*c)*x)/x^(5/2)","A",0
149,1,51,0,0.507207," ","integrate(x^(7/2)*(B*x+A)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2}{19} \, B c^{2} x^{\frac{19}{2}} + \frac{2}{13} \, A b^{2} x^{\frac{13}{2}} + \frac{2}{17} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{17}{2}} + \frac{2}{15} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{15}{2}}"," ",0,"2/19*B*c^2*x^(19/2) + 2/13*A*b^2*x^(13/2) + 2/17*(2*B*b*c + A*c^2)*x^(17/2) + 2/15*(B*b^2 + 2*A*b*c)*x^(15/2)","A",0
150,1,51,0,0.570998," ","integrate(x^(5/2)*(B*x+A)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2}{17} \, B c^{2} x^{\frac{17}{2}} + \frac{2}{11} \, A b^{2} x^{\frac{11}{2}} + \frac{2}{15} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{15}{2}} + \frac{2}{13} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{13}{2}}"," ",0,"2/17*B*c^2*x^(17/2) + 2/11*A*b^2*x^(11/2) + 2/15*(2*B*b*c + A*c^2)*x^(15/2) + 2/13*(B*b^2 + 2*A*b*c)*x^(13/2)","A",0
151,1,51,0,0.542116," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2}{15} \, B c^{2} x^{\frac{15}{2}} + \frac{2}{9} \, A b^{2} x^{\frac{9}{2}} + \frac{2}{13} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{11}{2}}"," ",0,"2/15*B*c^2*x^(15/2) + 2/9*A*b^2*x^(9/2) + 2/13*(2*B*b*c + A*c^2)*x^(13/2) + 2/11*(B*b^2 + 2*A*b*c)*x^(11/2)","A",0
152,1,51,0,0.532477," ","integrate((B*x+A)*(c*x^2+b*x)^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{13} \, B c^{2} x^{\frac{13}{2}} + \frac{2}{7} \, A b^{2} x^{\frac{7}{2}} + \frac{2}{11} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{9}{2}}"," ",0,"2/13*B*c^2*x^(13/2) + 2/7*A*b^2*x^(7/2) + 2/11*(2*B*b*c + A*c^2)*x^(11/2) + 2/9*(B*b^2 + 2*A*b*c)*x^(9/2)","A",0
153,1,51,0,0.558219," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^(1/2),x, algorithm=""maxima"")","\frac{2}{11} \, B c^{2} x^{\frac{11}{2}} + \frac{2}{5} \, A b^{2} x^{\frac{5}{2}} + \frac{2}{9} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{7}{2}}"," ",0,"2/11*B*c^2*x^(11/2) + 2/5*A*b^2*x^(5/2) + 2/9*(2*B*b*c + A*c^2)*x^(9/2) + 2/7*(B*b^2 + 2*A*b*c)*x^(7/2)","A",0
154,1,51,0,0.513017," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^(3/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c^{2} x^{\frac{9}{2}} + \frac{2}{3} \, A b^{2} x^{\frac{3}{2}} + \frac{2}{7} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{5}{2}}"," ",0,"2/9*B*c^2*x^(9/2) + 2/3*A*b^2*x^(3/2) + 2/7*(2*B*b*c + A*c^2)*x^(7/2) + 2/5*(B*b^2 + 2*A*b*c)*x^(5/2)","A",0
155,1,51,0,0.510752," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^(5/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c^{2} x^{\frac{7}{2}} + 2 \, A b^{2} \sqrt{x} + \frac{2}{5} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{3}{2}}"," ",0,"2/7*B*c^2*x^(7/2) + 2*A*b^2*sqrt(x) + 2/5*(2*B*b*c + A*c^2)*x^(5/2) + 2/3*(B*b^2 + 2*A*b*c)*x^(3/2)","A",0
156,1,51,0,0.531995," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^(7/2),x, algorithm=""maxima"")","\frac{2}{5} \, B c^{2} x^{\frac{5}{2}} - \frac{2 \, A b^{2}}{\sqrt{x}} + \frac{2}{3} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{3}{2}} + 2 \, {\left(B b^{2} + 2 \, A b c\right)} \sqrt{x}"," ",0,"2/5*B*c^2*x^(5/2) - 2*A*b^2/sqrt(x) + 2/3*(2*B*b*c + A*c^2)*x^(3/2) + 2*(B*b^2 + 2*A*b*c)*sqrt(x)","A",0
157,1,51,0,0.526263," ","integrate((B*x+A)*(c*x^2+b*x)^2/x^(9/2),x, algorithm=""maxima"")","\frac{2}{3} \, B c^{2} x^{\frac{3}{2}} + 2 \, {\left(2 \, B b c + A c^{2}\right)} \sqrt{x} - \frac{2 \, {\left(A b^{2} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} x\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*B*c^2*x^(3/2) + 2*(2*B*b*c + A*c^2)*sqrt(x) - 2/3*(A*b^2 + 3*(B*b^2 + 2*A*b*c)*x)/x^(3/2)","A",0
158,1,73,0,0.472358," ","integrate(x^(7/2)*(B*x+A)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{2}{23} \, B c^{3} x^{\frac{23}{2}} + \frac{2}{15} \, A b^{3} x^{\frac{15}{2}} + \frac{2}{21} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{21}{2}} + \frac{6}{19} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{19}{2}} + \frac{2}{17} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{17}{2}}"," ",0,"2/23*B*c^3*x^(23/2) + 2/15*A*b^3*x^(15/2) + 2/21*(3*B*b*c^2 + A*c^3)*x^(21/2) + 6/19*(B*b^2*c + A*b*c^2)*x^(19/2) + 2/17*(B*b^3 + 3*A*b^2*c)*x^(17/2)","A",0
159,1,73,0,0.492730," ","integrate(x^(5/2)*(B*x+A)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{2}{21} \, B c^{3} x^{\frac{21}{2}} + \frac{2}{13} \, A b^{3} x^{\frac{13}{2}} + \frac{2}{19} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{19}{2}} + \frac{6}{17} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{17}{2}} + \frac{2}{15} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{15}{2}}"," ",0,"2/21*B*c^3*x^(21/2) + 2/13*A*b^3*x^(13/2) + 2/19*(3*B*b*c^2 + A*c^3)*x^(19/2) + 6/17*(B*b^2*c + A*b*c^2)*x^(17/2) + 2/15*(B*b^3 + 3*A*b^2*c)*x^(15/2)","A",0
160,1,73,0,0.566880," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{2}{19} \, B c^{3} x^{\frac{19}{2}} + \frac{2}{11} \, A b^{3} x^{\frac{11}{2}} + \frac{2}{17} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{17}{2}} + \frac{2}{5} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{15}{2}} + \frac{2}{13} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{13}{2}}"," ",0,"2/19*B*c^3*x^(19/2) + 2/11*A*b^3*x^(11/2) + 2/17*(3*B*b*c^2 + A*c^3)*x^(17/2) + 2/5*(B*b^2*c + A*b*c^2)*x^(15/2) + 2/13*(B*b^3 + 3*A*b^2*c)*x^(13/2)","A",0
161,1,73,0,0.679955," ","integrate((B*x+A)*(c*x^2+b*x)^3*x^(1/2),x, algorithm=""maxima"")","\frac{2}{17} \, B c^{3} x^{\frac{17}{2}} + \frac{2}{9} \, A b^{3} x^{\frac{9}{2}} + \frac{2}{15} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{15}{2}} + \frac{6}{13} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{11}{2}}"," ",0,"2/17*B*c^3*x^(17/2) + 2/9*A*b^3*x^(9/2) + 2/15*(3*B*b*c^2 + A*c^3)*x^(15/2) + 6/13*(B*b^2*c + A*b*c^2)*x^(13/2) + 2/11*(B*b^3 + 3*A*b^2*c)*x^(11/2)","A",0
162,1,73,0,0.564658," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, B c^{3} x^{\frac{15}{2}} + \frac{2}{7} \, A b^{3} x^{\frac{7}{2}} + \frac{2}{13} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{13}{2}} + \frac{6}{11} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{9}{2}}"," ",0,"2/15*B*c^3*x^(15/2) + 2/7*A*b^3*x^(7/2) + 2/13*(3*B*b*c^2 + A*c^3)*x^(13/2) + 6/11*(B*b^2*c + A*b*c^2)*x^(11/2) + 2/9*(B*b^3 + 3*A*b^2*c)*x^(9/2)","A",0
163,1,73,0,0.467280," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^(3/2),x, algorithm=""maxima"")","\frac{2}{13} \, B c^{3} x^{\frac{13}{2}} + \frac{2}{5} \, A b^{3} x^{\frac{5}{2}} + \frac{2}{11} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{11}{2}} + \frac{2}{3} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{7}{2}}"," ",0,"2/13*B*c^3*x^(13/2) + 2/5*A*b^3*x^(5/2) + 2/11*(3*B*b*c^2 + A*c^3)*x^(11/2) + 2/3*(B*b^2*c + A*b*c^2)*x^(9/2) + 2/7*(B*b^3 + 3*A*b^2*c)*x^(7/2)","A",0
164,1,73,0,0.647245," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^(5/2),x, algorithm=""maxima"")","\frac{2}{11} \, B c^{3} x^{\frac{11}{2}} + \frac{2}{3} \, A b^{3} x^{\frac{3}{2}} + \frac{2}{9} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{9}{2}} + \frac{6}{7} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{5}{2}}"," ",0,"2/11*B*c^3*x^(11/2) + 2/3*A*b^3*x^(3/2) + 2/9*(3*B*b*c^2 + A*c^3)*x^(9/2) + 6/7*(B*b^2*c + A*b*c^2)*x^(7/2) + 2/5*(B*b^3 + 3*A*b^2*c)*x^(5/2)","A",0
165,1,73,0,0.490791," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^(7/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c^{3} x^{\frac{9}{2}} + 2 \, A b^{3} \sqrt{x} + \frac{2}{7} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{7}{2}} + \frac{6}{5} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{3}{2}}"," ",0,"2/9*B*c^3*x^(9/2) + 2*A*b^3*sqrt(x) + 2/7*(3*B*b*c^2 + A*c^3)*x^(7/2) + 6/5*(B*b^2*c + A*b*c^2)*x^(5/2) + 2/3*(B*b^3 + 3*A*b^2*c)*x^(3/2)","A",0
166,1,73,0,0.616675," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^(9/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c^{3} x^{\frac{7}{2}} - \frac{2 \, A b^{3}}{\sqrt{x}} + \frac{2}{5} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{5}{2}} + 2 \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{3}{2}} + 2 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} \sqrt{x}"," ",0,"2/7*B*c^3*x^(7/2) - 2*A*b^3/sqrt(x) + 2/5*(3*B*b*c^2 + A*c^3)*x^(5/2) + 2*(B*b^2*c + A*b*c^2)*x^(3/2) + 2*(B*b^3 + 3*A*b^2*c)*sqrt(x)","A",0
167,1,73,0,0.571940," ","integrate((B*x+A)*(c*x^2+b*x)^3/x^(11/2),x, algorithm=""maxima"")","\frac{2}{5} \, B c^{3} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{3}{2}} + 6 \, {\left(B b^{2} c + A b c^{2}\right)} \sqrt{x} - \frac{2 \, {\left(A b^{3} + 3 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/5*B*c^3*x^(5/2) + 2/3*(3*B*b*c^2 + A*c^3)*x^(3/2) + 6*(B*b^2*c + A*b*c^2)*sqrt(x) - 2/3*(A*b^3 + 3*(B*b^3 + 3*A*b^2*c)*x)/x^(3/2)","A",0
168,1,105,0,1.275445," ","integrate(x^(7/2)*(B*x+A)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(B b^{4} - A b^{3} c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} c^{4}} + \frac{2 \, {\left(15 \, B c^{3} x^{\frac{7}{2}} - 21 \, {\left(B b c^{2} - A c^{3}\right)} x^{\frac{5}{2}} + 35 \, {\left(B b^{2} c - A b c^{2}\right)} x^{\frac{3}{2}} - 105 \, {\left(B b^{3} - A b^{2} c\right)} \sqrt{x}\right)}}{105 \, c^{4}}"," ",0,"2*(B*b^4 - A*b^3*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c^4) + 2/105*(15*B*c^3*x^(7/2) - 21*(B*b*c^2 - A*c^3)*x^(5/2) + 35*(B*b^2*c - A*b*c^2)*x^(3/2) - 105*(B*b^3 - A*b^2*c)*sqrt(x))/c^4","A",0
169,1,82,0,1.232276," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+b*x),x, algorithm=""maxima"")","-\frac{2 \, {\left(B b^{3} - A b^{2} c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} c^{3}} + \frac{2 \, {\left(3 \, B c^{2} x^{\frac{5}{2}} - 5 \, {\left(B b c - A c^{2}\right)} x^{\frac{3}{2}} + 15 \, {\left(B b^{2} - A b c\right)} \sqrt{x}\right)}}{15 \, c^{3}}"," ",0,"-2*(B*b^3 - A*b^2*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c^3) + 2/15*(3*B*c^2*x^(5/2) - 5*(B*b*c - A*c^2)*x^(3/2) + 15*(B*b^2 - A*b*c)*sqrt(x))/c^3","A",0
170,1,58,0,1.508747," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(B b^{2} - A b c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} c^{2}} + \frac{2 \, {\left(B c x^{\frac{3}{2}} - 3 \, {\left(B b - A c\right)} \sqrt{x}\right)}}{3 \, c^{2}}"," ",0,"2*(B*b^2 - A*b*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c^2) + 2/3*(B*c*x^(3/2) - 3*(B*b - A*c)*sqrt(x))/c^2","A",0
171,1,39,0,1.217268," ","integrate((B*x+A)*x^(1/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, B \sqrt{x}}{c} - \frac{2 \, {\left(B b - A c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} c}"," ",0,"2*B*sqrt(x)/c - 2*(B*b - A*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c)","A",0
172,1,39,0,1.194829," ","integrate((B*x+A)/(c*x^2+b*x)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(B b - A c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b} - \frac{2 \, A}{b \sqrt{x}}"," ",0,"2*(B*b - A*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b) - 2*A/(b*sqrt(x))","A",0
173,1,56,0,1.282559," ","integrate((B*x+A)/x^(3/2)/(c*x^2+b*x),x, algorithm=""maxima"")","-\frac{2 \, {\left(B b c - A c^{2}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b^{2}} - \frac{2 \, {\left(A b + 3 \, {\left(B b - A c\right)} x\right)}}{3 \, b^{2} x^{\frac{3}{2}}}"," ",0,"-2*(B*b*c - A*c^2)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^2) - 2/3*(A*b + 3*(B*b - A*c)*x)/(b^2*x^(3/2))","A",0
174,1,80,0,1.361213," ","integrate((B*x+A)/x^(5/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(B b c^{2} - A c^{3}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b^{3}} - \frac{2 \, {\left(3 \, A b^{2} - 15 \, {\left(B b c - A c^{2}\right)} x^{2} + 5 \, {\left(B b^{2} - A b c\right)} x\right)}}{15 \, b^{3} x^{\frac{5}{2}}}"," ",0,"2*(B*b*c^2 - A*c^3)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^3) - 2/15*(3*A*b^2 - 15*(B*b*c - A*c^2)*x^2 + 5*(B*b^2 - A*b*c)*x)/(b^3*x^(5/2))","A",0
175,1,103,0,1.320576," ","integrate((B*x+A)/x^(7/2)/(c*x^2+b*x),x, algorithm=""maxima"")","-\frac{2 \, {\left(B b c^{3} - A c^{4}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b^{4}} - \frac{2 \, {\left(15 \, A b^{3} + 105 \, {\left(B b c^{2} - A c^{3}\right)} x^{3} - 35 \, {\left(B b^{2} c - A b c^{2}\right)} x^{2} + 21 \, {\left(B b^{3} - A b^{2} c\right)} x\right)}}{105 \, b^{4} x^{\frac{7}{2}}}"," ",0,"-2*(B*b*c^3 - A*c^4)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^4) - 2/105*(15*A*b^3 + 105*(B*b*c^2 - A*c^3)*x^3 - 35*(B*b^2*c - A*b*c^2)*x^2 + 21*(B*b^3 - A*b^2*c)*x)/(b^4*x^(7/2))","A",0
176,1,126,0,1.155006," ","integrate((B*x+A)/x^(9/2)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(B b c^{4} - A c^{5}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b^{5}} - \frac{2 \, {\left(35 \, A b^{4} - 315 \, {\left(B b c^{3} - A c^{4}\right)} x^{4} + 105 \, {\left(B b^{2} c^{2} - A b c^{3}\right)} x^{3} - 63 \, {\left(B b^{3} c - A b^{2} c^{2}\right)} x^{2} + 45 \, {\left(B b^{4} - A b^{3} c\right)} x\right)}}{315 \, b^{5} x^{\frac{9}{2}}}"," ",0,"2*(B*b*c^4 - A*c^5)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^5) - 2/315*(35*A*b^4 - 315*(B*b*c^3 - A*c^4)*x^4 + 105*(B*b^2*c^2 - A*b*c^3)*x^3 - 63*(B*b^3*c - A*b^2*c^2)*x^2 + 45*(B*b^4 - A*b^3*c)*x)/(b^5*x^(9/2))","A",0
177,1,115,0,1.217010," ","integrate(x^(9/2)*(B*x+A)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{{\left(B b^{3} - A b^{2} c\right)} \sqrt{x}}{c^{5} x + b c^{4}} - \frac{{\left(7 \, B b^{3} - 5 \, A b^{2} c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} c^{4}} + \frac{2 \, {\left(3 \, B c^{2} x^{\frac{5}{2}} - 5 \, {\left(2 \, B b c - A c^{2}\right)} x^{\frac{3}{2}} + 15 \, {\left(3 \, B b^{2} - 2 \, A b c\right)} \sqrt{x}\right)}}{15 \, c^{4}}"," ",0,"(B*b^3 - A*b^2*c)*sqrt(x)/(c^5*x + b*c^4) - (7*B*b^3 - 5*A*b^2*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c^4) + 2/15*(3*B*c^2*x^(5/2) - 5*(2*B*b*c - A*c^2)*x^(3/2) + 15*(3*B*b^2 - 2*A*b*c)*sqrt(x))/c^4","A",0
178,1,88,0,1.200605," ","integrate(x^(7/2)*(B*x+A)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{{\left(B b^{2} - A b c\right)} \sqrt{x}}{c^{4} x + b c^{3}} + \frac{{\left(5 \, B b^{2} - 3 \, A b c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} c^{3}} + \frac{2 \, {\left(B c x^{\frac{3}{2}} - 3 \, {\left(2 \, B b - A c\right)} \sqrt{x}\right)}}{3 \, c^{3}}"," ",0,"-(B*b^2 - A*b*c)*sqrt(x)/(c^4*x + b*c^3) + (5*B*b^2 - 3*A*b*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c^3) + 2/3*(B*c*x^(3/2) - 3*(2*B*b - A*c)*sqrt(x))/c^3","A",0
179,1,65,0,1.301416," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{{\left(B b - A c\right)} \sqrt{x}}{c^{3} x + b c^{2}} + \frac{2 \, B \sqrt{x}}{c^{2}} - \frac{{\left(3 \, B b - A c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} c^{2}}"," ",0,"(B*b - A*c)*sqrt(x)/(c^3*x + b*c^2) + 2*B*sqrt(x)/c^2 - (3*B*b - A*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c^2)","A",0
180,1,58,0,1.352461," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{{\left(B b - A c\right)} \sqrt{x}}{b c^{2} x + b^{2} c} + \frac{{\left(B b + A c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b c}"," ",0,"-(B*b - A*c)*sqrt(x)/(b*c^2*x + b^2*c) + (B*b + A*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b*c)","A",0
181,1,65,0,1.347996," ","integrate((B*x+A)*x^(1/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{2 \, A b - {\left(B b - 3 \, A c\right)} x}{b^{2} c x^{\frac{3}{2}} + b^{3} \sqrt{x}} + \frac{{\left(B b - 3 \, A c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b^{2}}"," ",0,"-(2*A*b - (B*b - 3*A*c)*x)/(b^2*c*x^(3/2) + b^3*sqrt(x)) + (B*b - 3*A*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^2)","A",0
182,1,93,0,1.233502," ","integrate((B*x+A)/(c*x^2+b*x)^2/x^(1/2),x, algorithm=""maxima"")","-\frac{2 \, A b^{2} + 3 \, {\left(3 \, B b c - 5 \, A c^{2}\right)} x^{2} + 2 \, {\left(3 \, B b^{2} - 5 \, A b c\right)} x}{3 \, {\left(b^{3} c x^{\frac{5}{2}} + b^{4} x^{\frac{3}{2}}\right)}} - \frac{{\left(3 \, B b c - 5 \, A c^{2}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b^{3}}"," ",0,"-1/3*(2*A*b^2 + 3*(3*B*b*c - 5*A*c^2)*x^2 + 2*(3*B*b^2 - 5*A*b*c)*x)/(b^3*c*x^(5/2) + b^4*x^(3/2)) - (3*B*b*c - 5*A*c^2)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^3)","A",0
183,1,118,0,1.169356," ","integrate((B*x+A)/x^(3/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{6 \, A b^{3} - 15 \, {\left(5 \, B b c^{2} - 7 \, A c^{3}\right)} x^{3} - 10 \, {\left(5 \, B b^{2} c - 7 \, A b c^{2}\right)} x^{2} + 2 \, {\left(5 \, B b^{3} - 7 \, A b^{2} c\right)} x}{15 \, {\left(b^{4} c x^{\frac{7}{2}} + b^{5} x^{\frac{5}{2}}\right)}} + \frac{{\left(5 \, B b c^{2} - 7 \, A c^{3}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b^{4}}"," ",0,"-1/15*(6*A*b^3 - 15*(5*B*b*c^2 - 7*A*c^3)*x^3 - 10*(5*B*b^2*c - 7*A*b*c^2)*x^2 + 2*(5*B*b^3 - 7*A*b^2*c)*x)/(b^4*c*x^(7/2) + b^5*x^(5/2)) + (5*B*b*c^2 - 7*A*c^3)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^4)","A",0
184,1,143,0,1.192947," ","integrate((B*x+A)/x^(5/2)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{30 \, A b^{4} + 105 \, {\left(7 \, B b c^{3} - 9 \, A c^{4}\right)} x^{4} + 70 \, {\left(7 \, B b^{2} c^{2} - 9 \, A b c^{3}\right)} x^{3} - 14 \, {\left(7 \, B b^{3} c - 9 \, A b^{2} c^{2}\right)} x^{2} + 6 \, {\left(7 \, B b^{4} - 9 \, A b^{3} c\right)} x}{105 \, {\left(b^{5} c x^{\frac{9}{2}} + b^{6} x^{\frac{7}{2}}\right)}} - \frac{{\left(7 \, B b c^{3} - 9 \, A c^{4}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{\sqrt{b c} b^{5}}"," ",0,"-1/105*(30*A*b^4 + 105*(7*B*b*c^3 - 9*A*c^4)*x^4 + 70*(7*B*b^2*c^2 - 9*A*b*c^3)*x^3 - 14*(7*B*b^3*c - 9*A*b^2*c^2)*x^2 + 6*(7*B*b^4 - 9*A*b^3*c)*x)/(b^5*c*x^(9/2) + b^6*x^(7/2)) - (7*B*b*c^3 - 9*A*c^4)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^5)","A",0
185,1,151,0,1.126619," ","integrate(x^(13/2)*(B*x+A)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{{\left(17 \, B b^{3} c - 13 \, A b^{2} c^{2}\right)} x^{\frac{3}{2}} + {\left(15 \, B b^{4} - 11 \, A b^{3} c\right)} \sqrt{x}}{4 \, {\left(c^{7} x^{2} + 2 \, b c^{6} x + b^{2} c^{5}\right)}} - \frac{7 \, {\left(9 \, B b^{3} - 5 \, A b^{2} c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \, \sqrt{b c} c^{5}} + \frac{2 \, {\left(3 \, B c^{2} x^{\frac{5}{2}} - 5 \, {\left(3 \, B b c - A c^{2}\right)} x^{\frac{3}{2}} + 45 \, {\left(2 \, B b^{2} - A b c\right)} \sqrt{x}\right)}}{15 \, c^{5}}"," ",0,"1/4*((17*B*b^3*c - 13*A*b^2*c^2)*x^(3/2) + (15*B*b^4 - 11*A*b^3*c)*sqrt(x))/(c^7*x^2 + 2*b*c^6*x + b^2*c^5) - 7/4*(9*B*b^3 - 5*A*b^2*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c^5) + 2/15*(3*B*c^2*x^(5/2) - 5*(3*B*b*c - A*c^2)*x^(3/2) + 45*(2*B*b^2 - A*b*c)*sqrt(x))/c^5","A",0
186,1,124,0,1.185161," ","integrate(x^(11/2)*(B*x+A)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{{\left(13 \, B b^{2} c - 9 \, A b c^{2}\right)} x^{\frac{3}{2}} + {\left(11 \, B b^{3} - 7 \, A b^{2} c\right)} \sqrt{x}}{4 \, {\left(c^{6} x^{2} + 2 \, b c^{5} x + b^{2} c^{4}\right)}} + \frac{5 \, {\left(7 \, B b^{2} - 3 \, A b c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \, \sqrt{b c} c^{4}} + \frac{2 \, {\left(B c x^{\frac{3}{2}} - 3 \, {\left(3 \, B b - A c\right)} \sqrt{x}\right)}}{3 \, c^{4}}"," ",0,"-1/4*((13*B*b^2*c - 9*A*b*c^2)*x^(3/2) + (11*B*b^3 - 7*A*b^2*c)*sqrt(x))/(c^6*x^2 + 2*b*c^5*x + b^2*c^4) + 5/4*(7*B*b^2 - 3*A*b*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c^4) + 2/3*(B*c*x^(3/2) - 3*(3*B*b - A*c)*sqrt(x))/c^4","A",0
187,1,99,0,1.461178," ","integrate(x^(9/2)*(B*x+A)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{{\left(9 \, B b c - 5 \, A c^{2}\right)} x^{\frac{3}{2}} + {\left(7 \, B b^{2} - 3 \, A b c\right)} \sqrt{x}}{4 \, {\left(c^{5} x^{2} + 2 \, b c^{4} x + b^{2} c^{3}\right)}} + \frac{2 \, B \sqrt{x}}{c^{3}} - \frac{3 \, {\left(5 \, B b - A c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \, \sqrt{b c} c^{3}}"," ",0,"1/4*((9*B*b*c - 5*A*c^2)*x^(3/2) + (7*B*b^2 - 3*A*b*c)*sqrt(x))/(c^5*x^2 + 2*b*c^4*x + b^2*c^3) + 2*B*sqrt(x)/c^3 - 3/4*(5*B*b - A*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*c^3)","A",0
188,1,94,0,1.292847," ","integrate(x^(7/2)*(B*x+A)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, B b c - A c^{2}\right)} x^{\frac{3}{2}} + {\left(3 \, B b^{2} + A b c\right)} \sqrt{x}}{4 \, {\left(b c^{4} x^{2} + 2 \, b^{2} c^{3} x + b^{3} c^{2}\right)}} + \frac{{\left(3 \, B b + A c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \, \sqrt{b c} b c^{2}}"," ",0,"-1/4*((5*B*b*c - A*c^2)*x^(3/2) + (3*B*b^2 + A*b*c)*sqrt(x))/(b*c^4*x^2 + 2*b^2*c^3*x + b^3*c^2) + 1/4*(3*B*b + A*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b*c^2)","A",0
189,1,94,0,1.234322," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{{\left(B b c + 3 \, A c^{2}\right)} x^{\frac{3}{2}} - {\left(B b^{2} - 5 \, A b c\right)} \sqrt{x}}{4 \, {\left(b^{2} c^{3} x^{2} + 2 \, b^{3} c^{2} x + b^{4} c\right)}} + \frac{{\left(B b + 3 \, A c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \, \sqrt{b c} b^{2} c}"," ",0,"1/4*((B*b*c + 3*A*c^2)*x^(3/2) - (B*b^2 - 5*A*b*c)*sqrt(x))/(b^2*c^3*x^2 + 2*b^3*c^2*x + b^4*c) + 1/4*(B*b + 3*A*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^2*c)","A",0
190,1,98,0,1.286293," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{8 \, A b^{2} - 3 \, {\left(B b c - 5 \, A c^{2}\right)} x^{2} - 5 \, {\left(B b^{2} - 5 \, A b c\right)} x}{4 \, {\left(b^{3} c^{2} x^{\frac{5}{2}} + 2 \, b^{4} c x^{\frac{3}{2}} + b^{5} \sqrt{x}\right)}} + \frac{3 \, {\left(B b - 5 \, A c\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \, \sqrt{b c} b^{3}}"," ",0,"-1/4*(8*A*b^2 - 3*(B*b*c - 5*A*c^2)*x^2 - 5*(B*b^2 - 5*A*b*c)*x)/(b^3*c^2*x^(5/2) + 2*b^4*c*x^(3/2) + b^5*sqrt(x)) + 3/4*(B*b - 5*A*c)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^3)","A",0
191,1,128,0,1.286186," ","integrate((B*x+A)*x^(1/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{8 \, A b^{3} + 15 \, {\left(3 \, B b c^{2} - 7 \, A c^{3}\right)} x^{3} + 25 \, {\left(3 \, B b^{2} c - 7 \, A b c^{2}\right)} x^{2} + 8 \, {\left(3 \, B b^{3} - 7 \, A b^{2} c\right)} x}{12 \, {\left(b^{4} c^{2} x^{\frac{7}{2}} + 2 \, b^{5} c x^{\frac{5}{2}} + b^{6} x^{\frac{3}{2}}\right)}} - \frac{5 \, {\left(3 \, B b c - 7 \, A c^{2}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \, \sqrt{b c} b^{4}}"," ",0,"-1/12*(8*A*b^3 + 15*(3*B*b*c^2 - 7*A*c^3)*x^3 + 25*(3*B*b^2*c - 7*A*b*c^2)*x^2 + 8*(3*B*b^3 - 7*A*b^2*c)*x)/(b^4*c^2*x^(7/2) + 2*b^5*c*x^(5/2) + b^6*x^(3/2)) - 5/4*(3*B*b*c - 7*A*c^2)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^4)","A",0
192,1,154,0,1.558581," ","integrate((B*x+A)/(c*x^2+b*x)^3/x^(1/2),x, algorithm=""maxima"")","-\frac{24 \, A b^{4} - 105 \, {\left(5 \, B b c^{3} - 9 \, A c^{4}\right)} x^{4} - 175 \, {\left(5 \, B b^{2} c^{2} - 9 \, A b c^{3}\right)} x^{3} - 56 \, {\left(5 \, B b^{3} c - 9 \, A b^{2} c^{2}\right)} x^{2} + 8 \, {\left(5 \, B b^{4} - 9 \, A b^{3} c\right)} x}{60 \, {\left(b^{5} c^{2} x^{\frac{9}{2}} + 2 \, b^{6} c x^{\frac{7}{2}} + b^{7} x^{\frac{5}{2}}\right)}} + \frac{7 \, {\left(5 \, B b c^{2} - 9 \, A c^{3}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \, \sqrt{b c} b^{5}}"," ",0,"-1/60*(24*A*b^4 - 105*(5*B*b*c^3 - 9*A*c^4)*x^4 - 175*(5*B*b^2*c^2 - 9*A*b*c^3)*x^3 - 56*(5*B*b^3*c - 9*A*b^2*c^2)*x^2 + 8*(5*B*b^4 - 9*A*b^3*c)*x)/(b^5*c^2*x^(9/2) + 2*b^6*c*x^(7/2) + b^7*x^(5/2)) + 7/4*(5*B*b*c^2 - 9*A*c^3)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^5)","A",0
193,1,178,0,1.370519," ","integrate((B*x+A)/x^(3/2)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{40 \, A b^{5} + 315 \, {\left(7 \, B b c^{4} - 11 \, A c^{5}\right)} x^{5} + 525 \, {\left(7 \, B b^{2} c^{3} - 11 \, A b c^{4}\right)} x^{4} + 168 \, {\left(7 \, B b^{3} c^{2} - 11 \, A b^{2} c^{3}\right)} x^{3} - 24 \, {\left(7 \, B b^{4} c - 11 \, A b^{3} c^{2}\right)} x^{2} + 8 \, {\left(7 \, B b^{5} - 11 \, A b^{4} c\right)} x}{140 \, {\left(b^{6} c^{2} x^{\frac{11}{2}} + 2 \, b^{7} c x^{\frac{9}{2}} + b^{8} x^{\frac{7}{2}}\right)}} - \frac{9 \, {\left(7 \, B b c^{3} - 11 \, A c^{4}\right)} \arctan\left(\frac{c \sqrt{x}}{\sqrt{b c}}\right)}{4 \, \sqrt{b c} b^{6}}"," ",0,"-1/140*(40*A*b^5 + 315*(7*B*b*c^4 - 11*A*c^5)*x^5 + 525*(7*B*b^2*c^3 - 11*A*b*c^4)*x^4 + 168*(7*B*b^3*c^2 - 11*A*b^2*c^3)*x^3 - 24*(7*B*b^4*c - 11*A*b^3*c^2)*x^2 + 8*(7*B*b^5 - 11*A*b^4*c)*x)/(b^6*c^2*x^(11/2) + 2*b^7*c*x^(9/2) + b^8*x^(7/2)) - 9/4*(7*B*b*c^3 - 11*A*c^4)*arctan(c*sqrt(x)/sqrt(b*c))/(sqrt(b*c)*b^6)","A",0
194,1,142,0,0.648269," ","integrate(x^(7/2)*(B*x+A)*(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} A}{3465 \, c^{5}} + \frac{2 \, {\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)} \sqrt{c x + b} B}{9009 \, c^{6}}"," ",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)*A/c^5 + 2/9009*(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)*sqrt(c*x + b)*B/c^6","A",0
195,1,120,0,0.726943," ","integrate(x^(5/2)*(B*x+A)*(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} A}{315 \, c^{4}} + \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} B}{3465 \, c^{5}}"," ",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)*A/c^4 + 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)*B/c^5","A",0
196,1,98,0,0.579164," ","integrate(x^(3/2)*(B*x+A)*(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} A}{105 \, c^{3}} + \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} B}{315 \, c^{4}}"," ",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)*A/c^3 + 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)*B/c^4","A",0
197,1,75,0,0.609874," ","integrate((B*x+A)*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} A}{15 \, c^{2}} + \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} B}{105 \, c^{3}}"," ",0,"2/15*(3*c^2*x^2 + b*c*x - 2*b^2)*sqrt(c*x + b)*A/c^2 + 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)*B/c^3","A",0
198,1,45,0,0.520035," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c x + b\right)}^{\frac{3}{2}} A}{3 \, c} + \frac{2 \, {\left(3 \, c^{2} x^{2} + b c x - 2 \, b^{2}\right)} \sqrt{c x + b} B}{15 \, c^{2}}"," ",0,"2/3*(c*x + b)^(3/2)*A/c + 2/15*(3*c^2*x^2 + b*c*x - 2*b^2)*sqrt(c*x + b)*B/c^2","A",0
199,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^(3/2),x, algorithm=""maxima"")","A \int \frac{\sqrt{c x + b}}{x}\,{d x} + \frac{2 \, {\left(B c x + B b\right)} \sqrt{c x + b}}{3 \, c}"," ",0,"A*integrate(sqrt(c*x + b)/x, x) + 2/3*(B*c*x + B*b)*sqrt(c*x + b)/c","F",0
200,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x} {\left(B x + A\right)}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(B*x + A)/x^(5/2), x)","F",0
201,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x} {\left(B x + A\right)}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(B*x + A)/x^(7/2), x)","F",0
202,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/x^(9/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x} {\left(B x + A\right)}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(B*x + A)/x^(9/2), x)","F",0
203,1,318,0,0.606533," ","integrate(x^(5/2)*(B*x+A)*(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} A}{45045 \, c^{5} x^{5}} + \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} B}{45045 \, c^{6} x^{6}}"," ",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)*A/(c^5*x^5) + 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)*B/(c^6*x^6)","A",0
204,1,274,0,0.593389," ","integrate(x^(3/2)*(B*x+A)*(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} A}{3465 \, c^{4} x^{4}} + \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} B}{45045 \, c^{5} x^{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)*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)*A/(c^4*x^4) + 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)*B/(c^5*x^5)","A",0
205,1,229,0,0.660410," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)*x^(1/2),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} A}{315 \, c^{3} x^{3}} + \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} B}{3465 \, c^{4} x^{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)*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)*A/(c^3*x^3) + 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)*B/(c^4*x^4)","B",0
206,1,182,0,0.625053," ","integrate((B*x+A)*(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} A}{105 \, c^{2} x^{2}} + \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} B}{315 \, c^{3} x^{3}}"," ",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)*A/(c^2*x^2) + 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)*B/(c^3*x^3)","B",0
207,1,129,0,0.617166," ","integrate((B*x+A)*(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} A}{15 \, c x} + \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} B}{105 \, c^{2} x^{2}}"," ",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)*A/(c*x) + 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)*B/(c^2*x^2)","B",0
208,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^(5/2),x, algorithm=""maxima"")","A b \int \frac{\sqrt{c x + b}}{x}\,{d x} + \frac{2 \, {\left(5 \, {\left(B b c + A c^{2}\right)} x^{2} + {\left(3 \, B c^{2} x^{2} + B b c x - 2 \, B b^{2}\right)} x + 5 \, {\left(B b^{2} + A b c\right)} x\right)} \sqrt{c x + b}}{15 \, c x}"," ",0,"A*b*integrate(sqrt(c*x + b)/x, x) + 2/15*(5*(B*b*c + A*c^2)*x^2 + (3*B*c^2*x^2 + B*b*c*x - 2*B*b^2)*x + 5*(B*b^2 + A*b*c)*x)*sqrt(c*x + b)/(c*x)","F",0
209,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2)/x^(7/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(B c x + B b\right)} \sqrt{c x + b} + \int \frac{{\left(A b + {\left(B b + A c\right)} x\right)} \sqrt{c x + b}}{x^{2}}\,{d x}"," ",0,"2/3*(B*c*x + B*b)*sqrt(c*x + b) + integrate((A*b + (B*b + A*c)*x)*sqrt(c*x + b)/x^2, x)","F",0
210,0,0,0,0.000000," ","integrate((B*x+A)*(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}} {\left(B x + A\right)}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(B*x + A)/x^(9/2), x)","F",0
211,0,0,0,0.000000," ","integrate((B*x+A)*(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}} {\left(B x + A\right)}}{x^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(B*x + A)/x^(11/2), x)","F",0
212,0,0,0,0.000000," ","integrate((B*x+A)*(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}} {\left(B x + A\right)}}{x^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(B*x + A)/x^(13/2), x)","F",0
213,0,0,0,0.000000," ","integrate((B*x+A)*(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}} {\left(B x + A\right)}}{x^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(B*x + A)/x^(15/2), x)","F",0
214,1,507,0,0.852646," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+b*x)^(5/2),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} + 10 \, {\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} + 13 \, {\left(315 \, b^{2} c^{5} x^{7} + 35 \, b^{3} c^{4} x^{6} - 40 \, b^{4} c^{3} x^{5} + 48 \, b^{5} c^{2} x^{4} - 64 \, b^{6} c x^{3} + 128 \, b^{7} x^{2}\right)} x^{4}\right)} \sqrt{c x + b} A}{45045 \, c^{5} x^{6}} + \frac{2 \, {\left(7 \, {\left(6435 \, c^{8} x^{8} + 429 \, b c^{7} x^{7} - 462 \, b^{2} c^{6} x^{6} + 504 \, b^{3} c^{5} x^{5} - 560 \, b^{4} c^{4} x^{4} + 640 \, b^{5} c^{3} x^{3} - 768 \, b^{6} c^{2} x^{2} + 1024 \, b^{7} c x - 2048 \, b^{8}\right)} x^{7} + 34 \, {\left(3003 \, b c^{7} x^{8} + 231 \, b^{2} c^{6} x^{7} - 252 \, b^{3} c^{5} x^{6} + 280 \, b^{4} c^{4} x^{5} - 320 \, b^{5} c^{3} x^{4} + 384 \, b^{6} c^{2} x^{3} - 512 \, b^{7} c x^{2} + 1024 \, b^{8} x\right)} x^{6} + 85 \, {\left(693 \, b^{2} c^{6} x^{8} + 63 \, b^{3} c^{5} x^{7} - 70 \, b^{4} c^{4} x^{6} + 80 \, b^{5} c^{3} x^{5} - 96 \, b^{6} c^{2} x^{4} + 128 \, b^{7} c x^{3} - 256 \, b^{8} x^{2}\right)} x^{5}\right)} \sqrt{c x + b} B}{765765 \, c^{6} x^{7}}"," ",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 + 10*(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 + 13*(315*b^2*c^5*x^7 + 35*b^3*c^4*x^6 - 40*b^4*c^3*x^5 + 48*b^5*c^2*x^4 - 64*b^6*c*x^3 + 128*b^7*x^2)*x^4)*sqrt(c*x + b)*A/(c^5*x^6) + 2/765765*(7*(6435*c^8*x^8 + 429*b*c^7*x^7 - 462*b^2*c^6*x^6 + 504*b^3*c^5*x^5 - 560*b^4*c^4*x^4 + 640*b^5*c^3*x^3 - 768*b^6*c^2*x^2 + 1024*b^7*c*x - 2048*b^8)*x^7 + 34*(3003*b*c^7*x^8 + 231*b^2*c^6*x^7 - 252*b^3*c^5*x^6 + 280*b^4*c^4*x^5 - 320*b^5*c^3*x^4 + 384*b^6*c^2*x^3 - 512*b^7*c*x^2 + 1024*b^8*x)*x^6 + 85*(693*b^2*c^6*x^8 + 63*b^3*c^5*x^7 - 70*b^4*c^4*x^6 + 80*b^5*c^3*x^5 - 96*b^6*c^2*x^4 + 128*b^7*c*x^3 - 256*b^8*x^2)*x^5)*sqrt(c*x + b)*B/(c^6*x^7)","B",0
215,1,441,0,0.822609," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)*x^(1/2),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} + 26 \, {\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} + 143 \, {\left(35 \, b^{2} c^{4} x^{6} + 5 \, b^{3} c^{3} x^{5} - 6 \, b^{4} c^{2} x^{4} + 8 \, b^{5} c x^{3} - 16 \, b^{6} x^{2}\right)} x^{3}\right)} \sqrt{c x + b} A}{45045 \, c^{4} x^{5}} + \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} + 10 \, {\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} + 13 \, {\left(315 \, b^{2} c^{5} x^{7} + 35 \, b^{3} c^{4} x^{6} - 40 \, b^{4} c^{3} x^{5} + 48 \, b^{5} c^{2} x^{4} - 64 \, b^{6} c x^{3} + 128 \, b^{7} x^{2}\right)} x^{4}\right)} \sqrt{c x + b} B}{45045 \, c^{5} x^{6}}"," ",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 + 26*(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 + 143*(35*b^2*c^4*x^6 + 5*b^3*c^3*x^5 - 6*b^4*c^2*x^4 + 8*b^5*c*x^3 - 16*b^6*x^2)*x^3)*sqrt(c*x + b)*A/(c^4*x^5) + 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 + 10*(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 + 13*(315*b^2*c^5*x^7 + 35*b^3*c^4*x^6 - 40*b^4*c^3*x^5 + 48*b^5*c^2*x^4 - 64*b^6*c*x^3 + 128*b^7*x^2)*x^4)*sqrt(c*x + b)*B/(c^5*x^6)","B",0
216,1,375,0,0.709107," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^(1/2),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} + 22 \, {\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} + 33 \, {\left(15 \, b^{2} c^{3} x^{5} + 3 \, b^{3} c^{2} x^{4} - 4 \, b^{4} c x^{3} + 8 \, b^{5} x^{2}\right)} x^{2}\right)} \sqrt{c x + b} A}{3465 \, c^{3} x^{4}} + \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} + 26 \, {\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} + 143 \, {\left(35 \, b^{2} c^{4} x^{6} + 5 \, b^{3} c^{3} x^{5} - 6 \, b^{4} c^{2} x^{4} + 8 \, b^{5} c x^{3} - 16 \, b^{6} x^{2}\right)} x^{3}\right)} \sqrt{c x + b} B}{45045 \, c^{4} x^{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)*x^4 + 22*(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 + 33*(15*b^2*c^3*x^5 + 3*b^3*c^2*x^4 - 4*b^4*c*x^3 + 8*b^5*x^2)*x^2)*sqrt(c*x + b)*A/(c^3*x^4) + 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 + 26*(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 + 143*(35*b^2*c^4*x^6 + 5*b^3*c^3*x^5 - 6*b^4*c^2*x^4 + 8*b^5*c*x^3 - 16*b^6*x^2)*x^3)*sqrt(c*x + b)*B/(c^4*x^5)","B",0
217,1,305,0,0.856606," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/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} + 6 \, {\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} + 21 \, {\left(3 \, b^{2} c^{2} x^{4} + b^{3} c x^{3} - 2 \, b^{4} x^{2}\right)} x\right)} \sqrt{c x + b} A}{315 \, c^{2} x^{3}} + \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} + 22 \, {\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} + 33 \, {\left(15 \, b^{2} c^{3} x^{5} + 3 \, b^{3} c^{2} x^{4} - 4 \, b^{4} c x^{3} + 8 \, b^{5} x^{2}\right)} x^{2}\right)} \sqrt{c x + b} B}{3465 \, c^{3} x^{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)*x^3 + 6*(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 + 21*(3*b^2*c^2*x^4 + b^3*c*x^3 - 2*b^4*x^2)*x)*sqrt(c*x + b)*A/(c^2*x^3) + 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 + 22*(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 + 33*(15*b^2*c^3*x^5 + 3*b^3*c^2*x^4 - 4*b^4*c*x^3 + 8*b^5*x^2)*x^2)*sqrt(c*x + b)*B/(c^3*x^4)","B",0
218,1,230,0,0.609079," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, b^{2} c x^{3} + 35 \, b^{3} x^{2} + {\left(15 \, c^{3} x^{3} + 3 \, b c^{2} x^{2} - 4 \, b^{2} c x + 8 \, b^{3}\right)} x^{2} + 14 \, {\left(3 \, b c^{2} x^{3} + b^{2} c x^{2} - 2 \, b^{3} x\right)} x\right)} \sqrt{c x + b} A}{105 \, c x^{2}} + \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} + 6 \, {\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} + 21 \, {\left(3 \, b^{2} c^{2} x^{4} + b^{3} c x^{3} - 2 \, b^{4} x^{2}\right)} x\right)} \sqrt{c x + b} B}{315 \, c^{2} x^{3}}"," ",0,"2/105*(35*b^2*c*x^3 + 35*b^3*x^2 + (15*c^3*x^3 + 3*b*c^2*x^2 - 4*b^2*c*x + 8*b^3)*x^2 + 14*(3*b*c^2*x^3 + b^2*c*x^2 - 2*b^3*x)*x)*sqrt(c*x + b)*A/(c*x^2) + 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 + 6*(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 + 21*(3*b^2*c^2*x^4 + b^3*c*x^3 - 2*b^4*x^2)*x)*sqrt(c*x + b)*B/(c^2*x^3)","B",0
219,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^(7/2),x, algorithm=""maxima"")","A b^{2} \int \frac{\sqrt{c x + b}}{x}\,{d x} + \frac{2 \, {\left(35 \, {\left(B b^{2} c + 2 \, A b c^{2}\right)} x^{3} + {\left(15 \, B c^{3} x^{3} + 3 \, B b c^{2} x^{2} - 4 \, B b^{2} c x + 8 \, B b^{3}\right)} x^{2} + 35 \, {\left(B b^{3} + 2 \, A b^{2} c\right)} x^{2} + 7 \, {\left(3 \, {\left(2 \, B b c^{2} + A c^{3}\right)} x^{3} + {\left(2 \, B b^{2} c + A b c^{2}\right)} x^{2} - 2 \, {\left(2 \, B b^{3} + A b^{2} c\right)} x\right)} x\right)} \sqrt{c x + b}}{105 \, c x^{2}}"," ",0,"A*b^2*integrate(sqrt(c*x + b)/x, x) + 2/105*(35*(B*b^2*c + 2*A*b*c^2)*x^3 + (15*B*c^3*x^3 + 3*B*b*c^2*x^2 - 4*B*b^2*c*x + 8*B*b^3)*x^2 + 35*(B*b^3 + 2*A*b^2*c)*x^2 + 7*(3*(2*B*b*c^2 + A*c^3)*x^3 + (2*B*b^2*c + A*b*c^2)*x^2 - 2*(2*B*b^3 + A*b^2*c)*x)*x)*sqrt(c*x + b)/(c*x^2)","F",0
220,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, {\left(2 \, B b c + A c^{2}\right)} x^{2} + {\left(3 \, B c^{2} x^{2} + B b c x - 2 \, B b^{2}\right)} x + 5 \, {\left(2 \, B b^{2} + A b c\right)} x\right)} \sqrt{c x + b}}{15 \, x} + \int \frac{{\left(A b^{2} + {\left(B b^{2} + 2 \, A b c\right)} x\right)} \sqrt{c x + b}}{x^{2}}\,{d x}"," ",0,"2/15*(5*(2*B*b*c + A*c^2)*x^2 + (3*B*c^2*x^2 + B*b*c*x - 2*B*b^2)*x + 5*(2*B*b^2 + A*b*c)*x)*sqrt(c*x + b)/x + integrate((A*b^2 + (B*b^2 + 2*A*b*c)*x)*sqrt(c*x + b)/x^2, x)","F",0
221,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^(11/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(B c^{2} x + B b c\right)} \sqrt{c x + b} + \int \frac{{\left(A b^{2} + {\left(2 \, B b c + A c^{2}\right)} x^{2} + {\left(B b^{2} + 2 \, A b c\right)} x\right)} \sqrt{c x + b}}{x^{3}}\,{d x}"," ",0,"2/3*(B*c^2*x + B*b*c)*sqrt(c*x + b) + integrate((A*b^2 + (2*B*b*c + A*c^2)*x^2 + (B*b^2 + 2*A*b*c)*x)*sqrt(c*x + b)/x^3, x)","F",0
222,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} {\left(B x + A\right)}}{x^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)*(B*x + A)/x^(13/2), x)","F",0
223,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^(15/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} {\left(B x + A\right)}}{x^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)*(B*x + A)/x^(15/2), x)","F",0
224,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2)/x^(17/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} {\left(B x + A\right)}}{x^{\frac{17}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/2)*(B*x + A)/x^(17/2), x)","F",0
225,1,120,0,0.699724," ","integrate(x^(7/2)*(B*x+A)/(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)} A}{35 \, \sqrt{c x + b} c^{4}} + \frac{2 \, {\left(35 \, c^{5} x^{5} - 5 \, b c^{4} x^{4} + 8 \, b^{2} c^{3} x^{3} - 16 \, b^{3} c^{2} x^{2} + 64 \, b^{4} c x + 128 \, b^{5}\right)} B}{315 \, \sqrt{c x + b} c^{5}}"," ",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)*A/(sqrt(c*x + b)*c^4) + 2/315*(35*c^5*x^5 - 5*b*c^4*x^4 + 8*b^2*c^3*x^3 - 16*b^3*c^2*x^2 + 64*b^4*c*x + 128*b^5)*B/(sqrt(c*x + b)*c^5)","A",0
226,1,98,0,0.641147," ","integrate(x^(5/2)*(B*x+A)/(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)} A}{15 \, \sqrt{c x + b} c^{3}} + \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)} B}{35 \, \sqrt{c x + b} c^{4}}"," ",0,"2/15*(3*c^3*x^3 - b*c^2*x^2 + 4*b^2*c*x + 8*b^3)*A/(sqrt(c*x + b)*c^3) + 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)*B/(sqrt(c*x + b)*c^4)","A",0
227,1,75,0,0.569223," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} x^{2} - b c x - 2 \, b^{2}\right)} A}{3 \, \sqrt{c x + b} c^{2}} + \frac{2 \, {\left(3 \, c^{3} x^{3} - b c^{2} x^{2} + 4 \, b^{2} c x + 8 \, b^{3}\right)} B}{15 \, \sqrt{c x + b} c^{3}}"," ",0,"2/3*(c^2*x^2 - b*c*x - 2*b^2)*A/(sqrt(c*x + b)*c^2) + 2/15*(3*c^3*x^3 - b*c^2*x^2 + 4*b^2*c*x + 8*b^3)*B/(sqrt(c*x + b)*c^3)","A",0
228,1,45,0,0.621604," ","integrate((B*x+A)*x^(1/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{c x + b} A}{c} + \frac{2 \, {\left(c^{2} x^{2} - b c x - 2 \, b^{2}\right)} B}{3 \, \sqrt{c x + b} c^{2}}"," ",0,"2*sqrt(c*x + b)*A/c + 2/3*(c^2*x^2 - b*c*x - 2*b^2)*B/(sqrt(c*x + b)*c^2)","A",0
229,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(1/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x} \sqrt{e x}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x)*sqrt(e*x)), x)","F",0
230,0,0,0,0.000000," ","integrate((B*x+A)/x^(3/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x)*x^(3/2)), x)","F",0
231,0,0,0,0.000000," ","integrate((B*x+A)/x^(5/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x)*x^(5/2)), x)","F",0
232,0,0,0,0.000000," ","integrate((B*x+A)/x^(7/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x} x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x)*x^(7/2)), x)","F",0
233,0,0,0,0.000000," ","integrate(x^(9/2)*(B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(15 \, B c^{5} x^{3} + 3 \, B b c^{4} x^{2} - 4 \, B b^{2} c^{3} x + 8 \, B b^{3} c^{2}\right)} x^{4} + {\left(16 \, B b^{4} c - 3 \, {\left(4 \, B b c^{4} - 7 \, A c^{5}\right)} x^{3} - {\left(8 \, B b^{2} c^{3} - 7 \, A b c^{4}\right)} x^{2} + 2 \, {\left(10 \, B b^{3} c^{2} - 7 \, A b^{2} c^{3}\right)} x\right)} x^{3} + 4 \, {\left(2 \, B b^{5} + {\left(9 \, B b^{2} c^{3} - 7 \, A b c^{4}\right)} x^{3} + 2 \, {\left(10 \, B b^{3} c^{2} - 7 \, A b^{2} c^{3}\right)} x^{2} + {\left(13 \, B b^{4} c - 7 \, A b^{3} c^{2}\right)} x\right)} x^{2}\right)} \sqrt{c x + b}}{105 \, {\left(c^{7} x^{4} + 2 \, b c^{6} x^{3} + b^{2} c^{5} x^{2}\right)}} + \int -\frac{4 \, {\left(4 \, B b^{5} - 2 \, A b^{4} c + {\left(9 \, B b^{3} c^{2} - 7 \, A b^{2} c^{3}\right)} x^{2} + {\left(13 \, B b^{4} c - 9 \, A b^{3} c^{2}\right)} x\right)} \sqrt{c x + b} x^{2}}{15 \, {\left(c^{7} x^{5} + 3 \, b c^{6} x^{4} + 3 \, b^{2} c^{5} x^{3} + b^{3} c^{4} x^{2}\right)}}\,{d x}"," ",0,"2/105*((15*B*c^5*x^3 + 3*B*b*c^4*x^2 - 4*B*b^2*c^3*x + 8*B*b^3*c^2)*x^4 + (16*B*b^4*c - 3*(4*B*b*c^4 - 7*A*c^5)*x^3 - (8*B*b^2*c^3 - 7*A*b*c^4)*x^2 + 2*(10*B*b^3*c^2 - 7*A*b^2*c^3)*x)*x^3 + 4*(2*B*b^5 + (9*B*b^2*c^3 - 7*A*b*c^4)*x^3 + 2*(10*B*b^3*c^2 - 7*A*b^2*c^3)*x^2 + (13*B*b^4*c - 7*A*b^3*c^2)*x)*x^2)*sqrt(c*x + b)/(c^7*x^4 + 2*b*c^6*x^3 + b^2*c^5*x^2) + integrate(-4/15*(4*B*b^5 - 2*A*b^4*c + (9*B*b^3*c^2 - 7*A*b^2*c^3)*x^2 + (13*B*b^4*c - 9*A*b^3*c^2)*x)*sqrt(c*x + b)*x^2/(c^7*x^5 + 3*b*c^6*x^4 + 3*b^2*c^5*x^3 + b^3*c^4*x^2), x)","F",0
234,0,0,0,0.000000," ","integrate(x^(7/2)*(B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(3 \, B c^{3} x^{2} + B b c^{2} x - 2 \, B b^{2} c\right)} x^{3} - {\left(4 \, B b^{3} + {\left(4 \, B b c^{2} - 5 \, A c^{3}\right)} x^{2} + {\left(8 \, B b^{2} c - 5 \, A b c^{2}\right)} x\right)} x^{2}\right)} \sqrt{c x + b}}{15 \, {\left(c^{5} x^{3} + 2 \, b c^{4} x^{2} + b^{2} c^{3} x\right)}} - \int -\frac{4 \, {\left(2 \, B b^{4} + {\left(7 \, B b^{2} c^{2} - 5 \, A b c^{3}\right)} x^{2} + {\left(9 \, B b^{3} c - 5 \, A b^{2} c^{2}\right)} x\right)} \sqrt{c x + b} x^{2}}{15 \, {\left(c^{6} x^{5} + 3 \, b c^{5} x^{4} + 3 \, b^{2} c^{4} x^{3} + b^{3} c^{3} x^{2}\right)}}\,{d x}"," ",0,"2/15*((3*B*c^3*x^2 + B*b*c^2*x - 2*B*b^2*c)*x^3 - (4*B*b^3 + (4*B*b*c^2 - 5*A*c^3)*x^2 + (8*B*b^2*c - 5*A*b*c^2)*x)*x^2)*sqrt(c*x + b)/(c^5*x^3 + 2*b*c^4*x^2 + b^2*c^3*x) - integrate(-4/15*(2*B*b^4 + (7*B*b^2*c^2 - 5*A*b*c^3)*x^2 + (9*B*b^3*c - 5*A*b^2*c^2)*x)*sqrt(c*x + b)*x^2/(c^6*x^5 + 3*b*c^5*x^4 + 3*b^2*c^4*x^3 + b^3*c^3*x^2), x)","F",0
235,0,0,0,0.000000," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(B c x + B b\right)} \sqrt{c x + b} x^{2}}{3 \, {\left(c^{3} x^{2} + 2 \, b c^{2} x + b^{2} c\right)}} + \int \frac{{\left(3 \, A b c x^{2} - {\left(4 \, B b^{2} + {\left(4 \, B b c - 3 \, A c^{2}\right)} x\right)} x^{2}\right)} \sqrt{c x + b}}{3 \, {\left(c^{4} x^{4} + 3 \, b c^{3} x^{3} + 3 \, b^{2} c^{2} x^{2} + b^{3} c x\right)}}\,{d x}"," ",0,"2/3*(B*c*x + B*b)*sqrt(c*x + b)*x^2/(c^3*x^2 + 2*b*c^2*x + b^2*c) + integrate(1/3*(3*A*b*c*x^2 - (4*B*b^2 + (4*B*b*c - 3*A*c^2)*x)*x^2)*sqrt(c*x + b)/(c^4*x^4 + 3*b*c^3*x^3 + 3*b^2*c^2*x^2 + b^3*c*x), x)","F",0
236,0,0,0,0.000000," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} x^{\frac{3}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*x^(3/2)/(c*x^2 + b*x)^(3/2), x)","F",0
237,0,0,0,0.000000," ","integrate((B*x+A)*x^(1/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{x}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(x)/(c*x^2 + b*x)^(3/2), x)","F",0
238,0,0,0,0.000000," ","integrate((B*x+A)/(c*x^2+b*x)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} \sqrt{x}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(3/2)*sqrt(x)), x)","F",0
239,0,0,0,0.000000," ","integrate((B*x+A)/x^(3/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(3/2)*x^(3/2)), x)","F",0
240,0,0,0,0.000000," ","integrate((B*x+A)/x^(5/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(3/2)*x^(5/2)), x)","F",0
241,0,0,0,0.000000," ","integrate((B*x+A)/x^(7/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(3/2)*x^(7/2)), x)","F",0
242,0,0,0,0.000000," ","integrate(x^(11/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(3 \, B c^{3} x^{2} + B b c^{2} x - 2 \, B b^{2} c\right)} x^{4} - {\left(6 \, B b^{3} + {\left(6 \, B b c^{2} - 5 \, A c^{3}\right)} x^{2} + {\left(12 \, B b^{2} c - 5 \, A b c^{2}\right)} x\right)} x^{3}\right)} \sqrt{c x + b}}{15 \, {\left(c^{6} x^{4} + 3 \, b c^{5} x^{3} + 3 \, b^{2} c^{4} x^{2} + b^{3} c^{3} x\right)}} - \int -\frac{2 \, {\left(4 \, B b^{4} + {\left(9 \, B b^{2} c^{2} - 5 \, A b c^{3}\right)} x^{2} + {\left(13 \, B b^{3} c - 5 \, A b^{2} c^{2}\right)} x\right)} \sqrt{c x + b} x^{3}}{5 \, {\left(c^{7} x^{6} + 4 \, b c^{6} x^{5} + 6 \, b^{2} c^{5} x^{4} + 4 \, b^{3} c^{4} x^{3} + b^{4} c^{3} x^{2}\right)}}\,{d x}"," ",0,"2/15*((3*B*c^3*x^2 + B*b*c^2*x - 2*B*b^2*c)*x^4 - (6*B*b^3 + (6*B*b*c^2 - 5*A*c^3)*x^2 + (12*B*b^2*c - 5*A*b*c^2)*x)*x^3)*sqrt(c*x + b)/(c^6*x^4 + 3*b*c^5*x^3 + 3*b^2*c^4*x^2 + b^3*c^3*x) - integrate(-2/5*(4*B*b^4 + (9*B*b^2*c^2 - 5*A*b*c^3)*x^2 + (13*B*b^3*c - 5*A*b^2*c^2)*x)*sqrt(c*x + b)*x^3/(c^7*x^6 + 4*b*c^6*x^5 + 6*b^2*c^5*x^4 + 4*b^3*c^4*x^3 + b^4*c^3*x^2), x)","F",0
243,0,0,0,0.000000," ","integrate(x^(9/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(B c x + B b\right)} \sqrt{c x + b} x^{3}}{3 \, {\left(c^{4} x^{3} + 3 \, b c^{3} x^{2} + 3 \, b^{2} c^{2} x + b^{3} c\right)}} + \int \frac{{\left(A b c x^{3} - {\left(2 \, B b^{2} + {\left(2 \, B b c - A c^{2}\right)} x\right)} x^{3}\right)} \sqrt{c x + b}}{c^{5} x^{5} + 4 \, b c^{4} x^{4} + 6 \, b^{2} c^{3} x^{3} + 4 \, b^{3} c^{2} x^{2} + b^{4} c x}\,{d x}"," ",0,"2/3*(B*c*x + B*b)*sqrt(c*x + b)*x^3/(c^4*x^3 + 3*b*c^3*x^2 + 3*b^2*c^2*x + b^3*c) + integrate((A*b*c*x^3 - (2*B*b^2 + (2*B*b*c - A*c^2)*x)*x^3)*sqrt(c*x + b)/(c^5*x^5 + 4*b*c^4*x^4 + 6*b^2*c^3*x^3 + 4*b^3*c^2*x^2 + b^4*c*x), x)","F",0
244,0,0,0,0.000000," ","integrate(x^(7/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} x^{\frac{7}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*x^(7/2)/(c*x^2 + b*x)^(5/2), x)","F",0
245,0,0,0,0.000000," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} x^{\frac{5}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*x^(5/2)/(c*x^2 + b*x)^(5/2), x)","F",0
246,0,0,0,0.000000," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} x^{\frac{3}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*x^(3/2)/(c*x^2 + b*x)^(5/2), x)","F",0
247,0,0,0,0.000000," ","integrate((B*x+A)*x^(1/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{x}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(x)/(c*x^2 + b*x)^(5/2), x)","F",0
248,0,0,0,0.000000," ","integrate((B*x+A)/(c*x^2+b*x)^(5/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} \sqrt{x}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(5/2)*sqrt(x)), x)","F",0
249,0,0,0,0.000000," ","integrate((B*x+A)/x^(3/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(5/2)*x^(3/2)), x)","F",0
250,1,32,0,0.796657," ","integrate(x^(1+p)*(3*c*x+2*b)*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{3} + b x^{2}\right)} e^{\left(p \log\left(c x + b\right) + 2 \, p \log\left(x\right)\right)}}{p + 1}"," ",0,"(c*x^3 + b*x^2)*e^(p*log(c*x + b) + 2*p*log(x))/(p + 1)","A",0
251,1,29,0,0.611678," ","integrate(x^3*(B*x+A)*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{7} \, B c x^{7} + \frac{1}{6} \, A c x^{6} + \frac{1}{5} \, B a x^{5} + \frac{1}{4} \, A a x^{4}"," ",0,"1/7*B*c*x^7 + 1/6*A*c*x^6 + 1/5*B*a*x^5 + 1/4*A*a*x^4","A",0
252,1,29,0,0.499336," ","integrate(x^2*(B*x+A)*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{6} \, B c x^{6} + \frac{1}{5} \, A c x^{5} + \frac{1}{4} \, B a x^{4} + \frac{1}{3} \, A a x^{3}"," ",0,"1/6*B*c*x^6 + 1/5*A*c*x^5 + 1/4*B*a*x^4 + 1/3*A*a*x^3","A",0
253,1,29,0,0.531416," ","integrate(x*(B*x+A)*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{5} \, B c x^{5} + \frac{1}{4} \, A c x^{4} + \frac{1}{3} \, B a x^{3} + \frac{1}{2} \, A a x^{2}"," ",0,"1/5*B*c*x^5 + 1/4*A*c*x^4 + 1/3*B*a*x^3 + 1/2*A*a*x^2","A",0
254,1,26,0,0.557966," ","integrate((B*x+A)*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{4} \, B c x^{4} + \frac{1}{3} \, A c x^{3} + \frac{1}{2} \, B a x^{2} + A a x"," ",0,"1/4*B*c*x^4 + 1/3*A*c*x^3 + 1/2*B*a*x^2 + A*a*x","A",0
255,1,24,0,0.567344," ","integrate((B*x+A)*(c*x^2+a)/x,x, algorithm=""maxima"")","\frac{1}{3} \, B c x^{3} + \frac{1}{2} \, A c x^{2} + B a x + A a \log\left(x\right)"," ",0,"1/3*B*c*x^3 + 1/2*A*c*x^2 + B*a*x + A*a*log(x)","A",0
256,1,24,0,0.599879," ","integrate((B*x+A)*(c*x^2+a)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, B c x^{2} + A c x + B a \log\left(x\right) - \frac{A a}{x}"," ",0,"1/2*B*c*x^2 + A*c*x + B*a*log(x) - A*a/x","A",0
257,1,24,0,0.635185," ","integrate((B*x+A)*(c*x^2+a)/x^3,x, algorithm=""maxima"")","B c x + A c \log\left(x\right) - \frac{2 \, B a x + A a}{2 \, x^{2}}"," ",0,"B*c*x + A*c*log(x) - 1/2*(2*B*a*x + A*a)/x^2","A",0
258,1,53,0,0.549930," ","integrate(x^3*(B*x+A)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{2} x^{9} + \frac{1}{8} \, A c^{2} x^{8} + \frac{2}{7} \, B a c x^{7} + \frac{1}{3} \, A a c x^{6} + \frac{1}{5} \, B a^{2} x^{5} + \frac{1}{4} \, A a^{2} x^{4}"," ",0,"1/9*B*c^2*x^9 + 1/8*A*c^2*x^8 + 2/7*B*a*c*x^7 + 1/3*A*a*c*x^6 + 1/5*B*a^2*x^5 + 1/4*A*a^2*x^4","A",0
259,1,53,0,0.570593," ","integrate(x^2*(B*x+A)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{2} x^{8} + \frac{1}{7} \, A c^{2} x^{7} + \frac{1}{3} \, B a c x^{6} + \frac{2}{5} \, A a c x^{5} + \frac{1}{4} \, B a^{2} x^{4} + \frac{1}{3} \, A a^{2} x^{3}"," ",0,"1/8*B*c^2*x^8 + 1/7*A*c^2*x^7 + 1/3*B*a*c*x^6 + 2/5*A*a*c*x^5 + 1/4*B*a^2*x^4 + 1/3*A*a^2*x^3","A",0
260,1,53,0,0.780794," ","integrate(x*(B*x+A)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{2} x^{7} + \frac{1}{6} \, A c^{2} x^{6} + \frac{2}{5} \, B a c x^{5} + \frac{1}{2} \, A a c x^{4} + \frac{1}{3} \, B a^{2} x^{3} + \frac{1}{2} \, A a^{2} x^{2}"," ",0,"1/7*B*c^2*x^7 + 1/6*A*c^2*x^6 + 2/5*B*a*c*x^5 + 1/2*A*a*c*x^4 + 1/3*B*a^2*x^3 + 1/2*A*a^2*x^2","A",0
261,1,50,0,0.671714," ","integrate((B*x+A)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{2} x^{6} + \frac{1}{5} \, A c^{2} x^{5} + \frac{1}{2} \, B a c x^{4} + \frac{2}{3} \, A a c x^{3} + \frac{1}{2} \, B a^{2} x^{2} + A a^{2} x"," ",0,"1/6*B*c^2*x^6 + 1/5*A*c^2*x^5 + 1/2*B*a*c*x^4 + 2/3*A*a*c*x^3 + 1/2*B*a^2*x^2 + A*a^2*x","A",0
262,1,47,0,0.564471," ","integrate((B*x+A)*(c*x^2+a)^2/x,x, algorithm=""maxima"")","\frac{1}{5} \, B c^{2} x^{5} + \frac{1}{4} \, A c^{2} x^{4} + \frac{2}{3} \, B a c x^{3} + A a c x^{2} + B a^{2} x + A a^{2} \log\left(x\right)"," ",0,"1/5*B*c^2*x^5 + 1/4*A*c^2*x^4 + 2/3*B*a*c*x^3 + A*a*c*x^2 + B*a^2*x + A*a^2*log(x)","A",0
263,1,48,0,0.512088," ","integrate((B*x+A)*(c*x^2+a)^2/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, B c^{2} x^{4} + \frac{1}{3} \, A c^{2} x^{3} + B a c x^{2} + 2 \, A a c x + B a^{2} \log\left(x\right) - \frac{A a^{2}}{x}"," ",0,"1/4*B*c^2*x^4 + 1/3*A*c^2*x^3 + B*a*c*x^2 + 2*A*a*c*x + B*a^2*log(x) - A*a^2/x","A",0
264,1,50,0,0.617629," ","integrate((B*x+A)*(c*x^2+a)^2/x^3,x, algorithm=""maxima"")","\frac{1}{3} \, B c^{2} x^{3} + \frac{1}{2} \, A c^{2} x^{2} + 2 \, B a c x + 2 \, A a c \log\left(x\right) - \frac{2 \, B a^{2} x + A a^{2}}{2 \, x^{2}}"," ",0,"1/3*B*c^2*x^3 + 1/2*A*c^2*x^2 + 2*B*a*c*x + 2*A*a*c*log(x) - 1/2*(2*B*a^2*x + A*a^2)/x^2","A",0
265,1,77,0,0.566692," ","integrate(x^3*(B*x+A)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{3} x^{11} + \frac{1}{10} \, A c^{3} x^{10} + \frac{1}{3} \, B a c^{2} x^{9} + \frac{3}{8} \, A a c^{2} x^{8} + \frac{3}{7} \, B a^{2} c x^{7} + \frac{1}{2} \, A a^{2} c x^{6} + \frac{1}{5} \, B a^{3} x^{5} + \frac{1}{4} \, A a^{3} x^{4}"," ",0,"1/11*B*c^3*x^11 + 1/10*A*c^3*x^10 + 1/3*B*a*c^2*x^9 + 3/8*A*a*c^2*x^8 + 3/7*B*a^2*c*x^7 + 1/2*A*a^2*c*x^6 + 1/5*B*a^3*x^5 + 1/4*A*a^3*x^4","A",0
266,1,77,0,0.506026," ","integrate(x^2*(B*x+A)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{3} x^{10} + \frac{1}{9} \, A c^{3} x^{9} + \frac{3}{8} \, B a c^{2} x^{8} + \frac{3}{7} \, A a c^{2} x^{7} + \frac{1}{2} \, B a^{2} c x^{6} + \frac{3}{5} \, A a^{2} c x^{5} + \frac{1}{4} \, B a^{3} x^{4} + \frac{1}{3} \, A a^{3} x^{3}"," ",0,"1/10*B*c^3*x^10 + 1/9*A*c^3*x^9 + 3/8*B*a*c^2*x^8 + 3/7*A*a*c^2*x^7 + 1/2*B*a^2*c*x^6 + 3/5*A*a^2*c*x^5 + 1/4*B*a^3*x^4 + 1/3*A*a^3*x^3","A",0
267,1,77,0,0.562827," ","integrate(x*(B*x+A)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{3} x^{9} + \frac{1}{8} \, A c^{3} x^{8} + \frac{3}{7} \, B a c^{2} x^{7} + \frac{1}{2} \, A a c^{2} x^{6} + \frac{3}{5} \, B a^{2} c x^{5} + \frac{3}{4} \, A a^{2} c x^{4} + \frac{1}{3} \, B a^{3} x^{3} + \frac{1}{2} \, A a^{3} x^{2}"," ",0,"1/9*B*c^3*x^9 + 1/8*A*c^3*x^8 + 3/7*B*a*c^2*x^7 + 1/2*A*a*c^2*x^6 + 3/5*B*a^2*c*x^5 + 3/4*A*a^2*c*x^4 + 1/3*B*a^3*x^3 + 1/2*A*a^3*x^2","A",0
268,1,73,0,0.506724," ","integrate((B*x+A)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{3} x^{8} + \frac{1}{7} \, A c^{3} x^{7} + \frac{1}{2} \, B a c^{2} x^{6} + \frac{3}{5} \, A a c^{2} x^{5} + \frac{3}{4} \, B a^{2} c x^{4} + A a^{2} c x^{3} + \frac{1}{2} \, B a^{3} x^{2} + A a^{3} x"," ",0,"1/8*B*c^3*x^8 + 1/7*A*c^3*x^7 + 1/2*B*a*c^2*x^6 + 3/5*A*a*c^2*x^5 + 3/4*B*a^2*c*x^4 + A*a^2*c*x^3 + 1/2*B*a^3*x^2 + A*a^3*x","A",0
269,1,71,0,0.521040," ","integrate((B*x+A)*(c*x^2+a)^3/x,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{3} x^{7} + \frac{1}{6} \, A c^{3} x^{6} + \frac{3}{5} \, B a c^{2} x^{5} + \frac{3}{4} \, A a c^{2} x^{4} + B a^{2} c x^{3} + \frac{3}{2} \, A a^{2} c x^{2} + B a^{3} x + A a^{3} \log\left(x\right)"," ",0,"1/7*B*c^3*x^7 + 1/6*A*c^3*x^6 + 3/5*B*a*c^2*x^5 + 3/4*A*a*c^2*x^4 + B*a^2*c*x^3 + 3/2*A*a^2*c*x^2 + B*a^3*x + A*a^3*log(x)","A",0
270,1,72,0,0.550230," ","integrate((B*x+A)*(c*x^2+a)^3/x^2,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{3} x^{6} + \frac{1}{5} \, A c^{3} x^{5} + \frac{3}{4} \, B a c^{2} x^{4} + A a c^{2} x^{3} + \frac{3}{2} \, B a^{2} c x^{2} + 3 \, A a^{2} c x + B a^{3} \log\left(x\right) - \frac{A a^{3}}{x}"," ",0,"1/6*B*c^3*x^6 + 1/5*A*c^3*x^5 + 3/4*B*a*c^2*x^4 + A*a*c^2*x^3 + 3/2*B*a^2*c*x^2 + 3*A*a^2*c*x + B*a^3*log(x) - A*a^3/x","A",0
271,1,73,0,0.621849," ","integrate((B*x+A)*(c*x^2+a)^3/x^3,x, algorithm=""maxima"")","\frac{1}{5} \, B c^{3} x^{5} + \frac{1}{4} \, A c^{3} x^{4} + B a c^{2} x^{3} + \frac{3}{2} \, A a c^{2} x^{2} + 3 \, B a^{2} c x + 3 \, A a^{2} c \log\left(x\right) - \frac{2 \, B a^{3} x + A a^{3}}{2 \, x^{2}}"," ",0,"1/5*B*c^3*x^5 + 1/4*A*c^3*x^4 + B*a*c^2*x^3 + 3/2*A*a*c^2*x^2 + 3*B*a^2*c*x + 3*A*a^2*c*log(x) - 1/2*(2*B*a^3*x + A*a^3)/x^2","A",0
272,1,101,0,0.488346," ","integrate(x^3*(B*x+A)*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{13} \, B c^{4} x^{13} + \frac{1}{12} \, A c^{4} x^{12} + \frac{4}{11} \, B a c^{3} x^{11} + \frac{2}{5} \, A a c^{3} x^{10} + \frac{2}{3} \, B a^{2} c^{2} x^{9} + \frac{3}{4} \, A a^{2} c^{2} x^{8} + \frac{4}{7} \, B a^{3} c x^{7} + \frac{2}{3} \, A a^{3} c x^{6} + \frac{1}{5} \, B a^{4} x^{5} + \frac{1}{4} \, A a^{4} x^{4}"," ",0,"1/13*B*c^4*x^13 + 1/12*A*c^4*x^12 + 4/11*B*a*c^3*x^11 + 2/5*A*a*c^3*x^10 + 2/3*B*a^2*c^2*x^9 + 3/4*A*a^2*c^2*x^8 + 4/7*B*a^3*c*x^7 + 2/3*A*a^3*c*x^6 + 1/5*B*a^4*x^5 + 1/4*A*a^4*x^4","A",0
273,1,101,0,0.476511," ","integrate(x^2*(B*x+A)*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{12} \, B c^{4} x^{12} + \frac{1}{11} \, A c^{4} x^{11} + \frac{2}{5} \, B a c^{3} x^{10} + \frac{4}{9} \, A a c^{3} x^{9} + \frac{3}{4} \, B a^{2} c^{2} x^{8} + \frac{6}{7} \, A a^{2} c^{2} x^{7} + \frac{2}{3} \, B a^{3} c x^{6} + \frac{4}{5} \, A a^{3} c x^{5} + \frac{1}{4} \, B a^{4} x^{4} + \frac{1}{3} \, A a^{4} x^{3}"," ",0,"1/12*B*c^4*x^12 + 1/11*A*c^4*x^11 + 2/5*B*a*c^3*x^10 + 4/9*A*a*c^3*x^9 + 3/4*B*a^2*c^2*x^8 + 6/7*A*a^2*c^2*x^7 + 2/3*B*a^3*c*x^6 + 4/5*A*a^3*c*x^5 + 1/4*B*a^4*x^4 + 1/3*A*a^4*x^3","A",0
274,1,99,0,0.600524," ","integrate(x*(B*x+A)*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{4} x^{11} + \frac{1}{10} \, A c^{4} x^{10} + \frac{4}{9} \, B a c^{3} x^{9} + \frac{1}{2} \, A a c^{3} x^{8} + \frac{6}{7} \, B a^{2} c^{2} x^{7} + A a^{2} c^{2} x^{6} + \frac{4}{5} \, B a^{3} c x^{5} + A a^{3} c x^{4} + \frac{1}{3} \, B a^{4} x^{3} + \frac{1}{2} \, A a^{4} x^{2}"," ",0,"1/11*B*c^4*x^11 + 1/10*A*c^4*x^10 + 4/9*B*a*c^3*x^9 + 1/2*A*a*c^3*x^8 + 6/7*B*a^2*c^2*x^7 + A*a^2*c^2*x^6 + 4/5*B*a^3*c*x^5 + A*a^3*c*x^4 + 1/3*B*a^4*x^3 + 1/2*A*a^4*x^2","A",0
275,1,96,0,0.516330," ","integrate((B*x+A)*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{4} x^{10} + \frac{1}{9} \, A c^{4} x^{9} + \frac{1}{2} \, B a c^{3} x^{8} + \frac{4}{7} \, A a c^{3} x^{7} + B a^{2} c^{2} x^{6} + \frac{6}{5} \, A a^{2} c^{2} x^{5} + B a^{3} c x^{4} + \frac{4}{3} \, A a^{3} c x^{3} + \frac{1}{2} \, B a^{4} x^{2} + A a^{4} x"," ",0,"1/10*B*c^4*x^10 + 1/9*A*c^4*x^9 + 1/2*B*a*c^3*x^8 + 4/7*A*a*c^3*x^7 + B*a^2*c^2*x^6 + 6/5*A*a^2*c^2*x^5 + B*a^3*c*x^4 + 4/3*A*a^3*c*x^3 + 1/2*B*a^4*x^2 + A*a^4*x","A",0
276,1,96,0,0.481820," ","integrate((B*x+A)*(c*x^2+a)^4/x,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{4} x^{9} + \frac{1}{8} \, A c^{4} x^{8} + \frac{4}{7} \, B a c^{3} x^{7} + \frac{2}{3} \, A a c^{3} x^{6} + \frac{6}{5} \, B a^{2} c^{2} x^{5} + \frac{3}{2} \, A a^{2} c^{2} x^{4} + \frac{4}{3} \, B a^{3} c x^{3} + 2 \, A a^{3} c x^{2} + B a^{4} x + A a^{4} \log\left(x\right)"," ",0,"1/9*B*c^4*x^9 + 1/8*A*c^4*x^8 + 4/7*B*a*c^3*x^7 + 2/3*A*a*c^3*x^6 + 6/5*B*a^2*c^2*x^5 + 3/2*A*a^2*c^2*x^4 + 4/3*B*a^3*c*x^3 + 2*A*a^3*c*x^2 + B*a^4*x + A*a^4*log(x)","A",0
277,1,97,0,0.516251," ","integrate((B*x+A)*(c*x^2+a)^4/x^2,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{4} x^{8} + \frac{1}{7} \, A c^{4} x^{7} + \frac{2}{3} \, B a c^{3} x^{6} + \frac{4}{5} \, A a c^{3} x^{5} + \frac{3}{2} \, B a^{2} c^{2} x^{4} + 2 \, A a^{2} c^{2} x^{3} + 2 \, B a^{3} c x^{2} + 4 \, A a^{3} c x + B a^{4} \log\left(x\right) - \frac{A a^{4}}{x}"," ",0,"1/8*B*c^4*x^8 + 1/7*A*c^4*x^7 + 2/3*B*a*c^3*x^6 + 4/5*A*a*c^3*x^5 + 3/2*B*a^2*c^2*x^4 + 2*A*a^2*c^2*x^3 + 2*B*a^3*c*x^2 + 4*A*a^3*c*x + B*a^4*log(x) - A*a^4/x","A",0
278,1,97,0,0.492747," ","integrate((B*x+A)*(c*x^2+a)^4/x^3,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{4} x^{7} + \frac{1}{6} \, A c^{4} x^{6} + \frac{4}{5} \, B a c^{3} x^{5} + A a c^{3} x^{4} + 2 \, B a^{2} c^{2} x^{3} + 3 \, A a^{2} c^{2} x^{2} + 4 \, B a^{3} c x + 4 \, A a^{3} c \log\left(x\right) - \frac{2 \, B a^{4} x + A a^{4}}{2 \, x^{2}}"," ",0,"1/7*B*c^4*x^7 + 1/6*A*c^4*x^6 + 4/5*B*a*c^3*x^5 + A*a*c^3*x^4 + 2*B*a^2*c^2*x^3 + 3*A*a^2*c^2*x^2 + 4*B*a^3*c*x + 4*A*a^3*c*log(x) - 1/2*(2*B*a^4*x + A*a^4)/x^2","A",0
279,1,72,0,1.186801," ","integrate(x^4*(e*x+d)/(c*x^2+a),x, algorithm=""maxima"")","\frac{a^{2} d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c^{2}} + \frac{a^{2} e \log\left(c x^{2} + a\right)}{2 \, c^{3}} + \frac{3 \, c e x^{4} + 4 \, c d x^{3} - 6 \, a e x^{2} - 12 \, a d x}{12 \, c^{2}}"," ",0,"a^2*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c^2) + 1/2*a^2*e*log(c*x^2 + a)/c^3 + 1/12*(3*c*e*x^4 + 4*c*d*x^3 - 6*a*e*x^2 - 12*a*d*x)/c^2","A",0
280,1,63,0,1.262702," ","integrate(x^3*(e*x+d)/(c*x^2+a),x, algorithm=""maxima"")","\frac{a^{2} e \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c^{2}} - \frac{a d \log\left(c x^{2} + a\right)}{2 \, c^{2}} + \frac{2 \, c e x^{3} + 3 \, c d x^{2} - 6 \, a e x}{6 \, c^{2}}"," ",0,"a^2*e*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c^2) - 1/2*a*d*log(c*x^2 + a)/c^2 + 1/6*(2*c*e*x^3 + 3*c*d*x^2 - 6*a*e*x)/c^2","A",0
281,1,52,0,1.155249," ","integrate(x^2*(e*x+d)/(c*x^2+a),x, algorithm=""maxima"")","-\frac{a d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c} - \frac{a e \log\left(c x^{2} + a\right)}{2 \, c^{2}} + \frac{e x^{2} + 2 \, d x}{2 \, c}"," ",0,"-a*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c) - 1/2*a*e*log(c*x^2 + a)/c^2 + 1/2*(e*x^2 + 2*d*x)/c","A",0
282,1,42,0,1.154990," ","integrate(x*(e*x+d)/(c*x^2+a),x, algorithm=""maxima"")","-\frac{a e \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c} + \frac{e x}{c} + \frac{d \log\left(c x^{2} + a\right)}{2 \, c}"," ",0,"-a*e*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c) + e*x/c + 1/2*d*log(c*x^2 + a)/c","A",0
283,1,31,0,1.194128," ","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
284,1,38,0,1.250112," ","integrate((e*x+d)/x/(c*x^2+a),x, algorithm=""maxima"")","\frac{e \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}} - \frac{d \log\left(c x^{2} + a\right)}{2 \, a} + \frac{d \log\left(x\right)}{a}"," ",0,"e*arctan(c*x/sqrt(a*c))/sqrt(a*c) - 1/2*d*log(c*x^2 + a)/a + d*log(x)/a","A",0
285,1,52,0,1.256791," ","integrate((e*x+d)/x^2/(c*x^2+a),x, algorithm=""maxima"")","-\frac{c d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} a} - \frac{e \log\left(c x^{2} + a\right)}{2 \, a} + \frac{e \log\left(x\right)}{a} - \frac{d}{a x}"," ",0,"-c*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a) - 1/2*e*log(c*x^2 + a)/a + e*log(x)/a - d/(a*x)","A",0
286,1,60,0,1.370174," ","integrate((e*x+d)/x^3/(c*x^2+a),x, algorithm=""maxima"")","-\frac{c e \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} a} + \frac{c d \log\left(c x^{2} + a\right)}{2 \, a^{2}} - \frac{c d \log\left(x\right)}{a^{2}} - \frac{2 \, e x + d}{2 \, a x^{2}}"," ",0,"-c*e*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a) + 1/2*c*d*log(c*x^2 + a)/a^2 - c*d*log(x)/a^2 - 1/2*(2*e*x + d)/(a*x^2)","A",0
287,1,72,0,1.367630," ","integrate((e*x+d)/x^4/(c*x^2+a),x, algorithm=""maxima"")","\frac{c^{2} d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} a^{2}} + \frac{c e \log\left(c x^{2} + a\right)}{2 \, a^{2}} - \frac{c e \log\left(x\right)}{a^{2}} + \frac{6 \, c d x^{2} - 3 \, a e x - 2 \, a d}{6 \, a^{2} x^{3}}"," ",0,"c^2*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2) + 1/2*c*e*log(c*x^2 + a)/a^2 - c*e*log(x)/a^2 + 1/6*(6*c*d*x^2 - 3*a*e*x - 2*a*d)/(a^2*x^3)","A",0
288,1,49,0,1.283419," ","integrate((e*x+d)/(-c*x^2+a),x, algorithm=""maxima"")","-\frac{d \log\left(\frac{c x - \sqrt{a c}}{c x + \sqrt{a c}}\right)}{2 \, \sqrt{a c}} - \frac{e \log\left(c x^{2} - a\right)}{2 \, c}"," ",0,"-1/2*d*log((c*x - sqrt(a*c))/(c*x + sqrt(a*c)))/sqrt(a*c) - 1/2*e*log(c*x^2 - a)/c","A",0
289,1,81,0,1.216113," ","integrate(x^4*(e*x+d)/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{3 \, a d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} c^{2}} + \frac{a c d x - a^{2} e}{2 \, {\left(c^{4} x^{2} + a c^{3}\right)}} - \frac{a e \log\left(c x^{2} + a\right)}{c^{3}} + \frac{e x^{2} + 2 \, d x}{2 \, c^{2}}"," ",0,"-3/2*a*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c^2) + 1/2*(a*c*d*x - a^2*e)/(c^4*x^2 + a*c^3) - a*e*log(c*x^2 + a)/c^3 + 1/2*(e*x^2 + 2*d*x)/c^2","A",0
290,1,67,0,1.160252," ","integrate(x^3*(e*x+d)/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{3 \, a e \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} c^{2}} + \frac{a e x + a d}{2 \, {\left(c^{3} x^{2} + a c^{2}\right)}} + \frac{e x}{c^{2}} + \frac{d \log\left(c x^{2} + a\right)}{2 \, c^{2}}"," ",0,"-3/2*a*e*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c^2) + 1/2*(a*e*x + a*d)/(c^3*x^2 + a*c^2) + e*x/c^2 + 1/2*d*log(c*x^2 + a)/c^2","A",0
291,1,61,0,1.159615," ","integrate(x^2*(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} c} - \frac{c d x - a e}{2 \, {\left(c^{3} x^{2} + a c^{2}\right)}} + \frac{e \log\left(c x^{2} + a\right)}{2 \, c^{2}}"," ",0,"1/2*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c) - 1/2*(c*d*x - a*e)/(c^3*x^2 + a*c^2) + 1/2*e*log(c*x^2 + a)/c^2","A",0
292,1,41,0,1.210987," ","integrate(x*(e*x+d)/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{e \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} c} - \frac{e x + d}{2 \, {\left(c^{2} x^{2} + a c\right)}}"," ",0,"1/2*e*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c) - 1/2*(e*x + d)/(c^2*x^2 + a*c)","A",0
293,1,48,0,1.262406," ","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
294,1,61,0,1.276641," ","integrate((e*x+d)/x/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{e \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a} + \frac{e x + d}{2 \, {\left(a c x^{2} + a^{2}\right)}} - \frac{d \log\left(c x^{2} + a\right)}{2 \, a^{2}} + \frac{d \log\left(x\right)}{a^{2}}"," ",0,"1/2*e*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a) + 1/2*(e*x + d)/(a*c*x^2 + a^2) - 1/2*d*log(c*x^2 + a)/a^2 + d*log(x)/a^2","A",0
295,1,78,0,1.124214," ","integrate((e*x+d)/x^2/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{3 \, c d \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a^{2}} - \frac{3 \, c d x^{2} - a e x + 2 \, a d}{2 \, {\left(a^{2} c x^{3} + a^{3} x\right)}} - \frac{e \log\left(c x^{2} + a\right)}{2 \, a^{2}} + \frac{e \log\left(x\right)}{a^{2}}"," ",0,"-3/2*c*d*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2) - 1/2*(3*c*d*x^2 - a*e*x + 2*a*d)/(a^2*c*x^3 + a^3*x) - 1/2*e*log(c*x^2 + a)/a^2 + e*log(x)/a^2","A",0
296,1,88,0,1.175227," ","integrate((e*x+d)/x^3/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{3 \, c e \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a^{2}} - \frac{3 \, c e x^{3} + 2 \, c d x^{2} + 2 \, a e x + a d}{2 \, {\left(a^{2} c x^{4} + a^{3} x^{2}\right)}} + \frac{c d \log\left(c x^{2} + a\right)}{a^{3}} - \frac{2 \, c d \log\left(x\right)}{a^{3}}"," ",0,"-3/2*c*e*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2) - 1/2*(3*c*e*x^3 + 2*c*d*x^2 + 2*a*e*x + a*d)/(a^2*c*x^4 + a^3*x^2) + c*d*log(c*x^2 + a)/a^3 - 2*c*d*log(x)/a^3","A",0
297,1,90,0,0.540344," ","integrate(x^4*(e*x+d)/(-c^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{3 \, c^{2} e x^{4} + 4 \, c^{2} d x^{3} + 6 \, a^{2} e x^{2} + 12 \, a^{2} d x}{12 \, c^{4}} + \frac{{\left(a^{3} c d - a^{4} e\right)} \log\left(c x + a\right)}{2 \, c^{6}} - \frac{{\left(a^{3} c d + a^{4} e\right)} \log\left(c x - a\right)}{2 \, c^{6}}"," ",0,"-1/12*(3*c^2*e*x^4 + 4*c^2*d*x^3 + 6*a^2*e*x^2 + 12*a^2*d*x)/c^4 + 1/2*(a^3*c*d - a^4*e)*log(c*x + a)/c^6 - 1/2*(a^3*c*d + a^4*e)*log(c*x - a)/c^6","A",0
298,1,81,0,0.554136," ","integrate(x^3*(e*x+d)/(-c^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{2 \, c^{2} e x^{3} + 3 \, c^{2} d x^{2} + 6 \, a^{2} e x}{6 \, c^{4}} - \frac{{\left(a^{2} c d - a^{3} e\right)} \log\left(c x + a\right)}{2 \, c^{5}} - \frac{{\left(a^{2} c d + a^{3} e\right)} \log\left(c x - a\right)}{2 \, c^{5}}"," ",0,"-1/6*(2*c^2*e*x^3 + 3*c^2*d*x^2 + 6*a^2*e*x)/c^4 - 1/2*(a^2*c*d - a^3*e)*log(c*x + a)/c^5 - 1/2*(a^2*c*d + a^3*e)*log(c*x - a)/c^5","A",0
299,1,61,0,0.533202," ","integrate(x^2*(e*x+d)/(-c^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{e x^{2} + 2 \, d x}{2 \, c^{2}} + \frac{{\left(a c d - a^{2} e\right)} \log\left(c x + a\right)}{2 \, c^{4}} - \frac{{\left(a c d + a^{2} e\right)} \log\left(c x - a\right)}{2 \, c^{4}}"," ",0,"-1/2*(e*x^2 + 2*d*x)/c^2 + 1/2*(a*c*d - a^2*e)*log(c*x + a)/c^4 - 1/2*(a*c*d + a^2*e)*log(c*x - a)/c^4","A",0
300,1,47,0,0.498771," ","integrate(x*(e*x+d)/(-c^2*x^2+a^2),x, algorithm=""maxima"")","-\frac{e x}{c^{2}} - \frac{{\left(c d - a e\right)} \log\left(c x + a\right)}{2 \, c^{3}} - \frac{{\left(c d + a e\right)} \log\left(c x - a\right)}{2 \, c^{3}}"," ",0,"-e*x/c^2 - 1/2*(c*d - a*e)*log(c*x + a)/c^3 - 1/2*(c*d + a*e)*log(c*x - a)/c^3","A",0
301,1,46,0,0.539770," ","integrate((e*x+d)/(-c^2*x^2+a^2),x, algorithm=""maxima"")","\frac{{\left(c d - a e\right)} \log\left(c x + a\right)}{2 \, a c^{2}} - \frac{{\left(c d + a e\right)} \log\left(c x - a\right)}{2 \, a c^{2}}"," ",0,"1/2*(c*d - a*e)*log(c*x + a)/(a*c^2) - 1/2*(c*d + a*e)*log(c*x - a)/(a*c^2)","A",0
302,1,53,0,0.545531," ","integrate((e*x+d)/x/(-c^2*x^2+a^2),x, algorithm=""maxima"")","\frac{d \log\left(x\right)}{a^{2}} - \frac{{\left(c d - a e\right)} \log\left(c x + a\right)}{2 \, a^{2} c} - \frac{{\left(c d + a e\right)} \log\left(c x - a\right)}{2 \, a^{2} c}"," ",0,"d*log(x)/a^2 - 1/2*(c*d - a*e)*log(c*x + a)/(a^2*c) - 1/2*(c*d + a*e)*log(c*x - a)/(a^2*c)","A",0
303,1,56,0,0.535741," ","integrate((e*x+d)/x^2/(-c^2*x^2+a^2),x, algorithm=""maxima"")","\frac{e \log\left(x\right)}{a^{2}} + \frac{{\left(c d - a e\right)} \log\left(c x + a\right)}{2 \, a^{3}} - \frac{{\left(c d + a e\right)} \log\left(c x - a\right)}{2 \, a^{3}} - \frac{d}{a^{2} x}"," ",0,"e*log(x)/a^2 + 1/2*(c*d - a*e)*log(c*x + a)/a^3 - 1/2*(c*d + a*e)*log(c*x - a)/a^3 - d/(a^2*x)","A",0
304,1,70,0,0.556751," ","integrate((e*x+d)/x^3/(-c^2*x^2+a^2),x, algorithm=""maxima"")","\frac{c^{2} d \log\left(x\right)}{a^{4}} - \frac{{\left(c^{2} d - a c e\right)} \log\left(c x + a\right)}{2 \, a^{4}} - \frac{{\left(c^{2} d + a c e\right)} \log\left(c x - a\right)}{2 \, a^{4}} - \frac{2 \, e x + d}{2 \, a^{2} x^{2}}"," ",0,"c^2*d*log(x)/a^4 - 1/2*(c^2*d - a*c*e)*log(c*x + a)/a^4 - 1/2*(c^2*d + a*c*e)*log(c*x - a)/a^4 - 1/2*(2*e*x + d)/(a^2*x^2)","A",0
305,1,91,0,0.496127," ","integrate((e*x+d)/x^4/(-c^2*x^2+a^2),x, algorithm=""maxima"")","\frac{c^{2} e \log\left(x\right)}{a^{4}} + \frac{{\left(c^{3} d - a c^{2} e\right)} \log\left(c x + a\right)}{2 \, a^{5}} - \frac{{\left(c^{3} d + a c^{2} e\right)} \log\left(c x - a\right)}{2 \, a^{5}} - \frac{6 \, c^{2} d x^{2} + 3 \, a^{2} e x + 2 \, a^{2} d}{6 \, a^{4} x^{3}}"," ",0,"c^2*e*log(x)/a^4 + 1/2*(c^3*d - a*c^2*e)*log(c*x + a)/a^5 - 1/2*(c^3*d + a*c^2*e)*log(c*x - a)/a^5 - 1/6*(6*c^2*d*x^2 + 3*a^2*e*x + 2*a^2*d)/(a^4*x^3)","A",0
306,1,99,0,0.536132," ","integrate(x^4*(e*x+d)/(-c^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{a^{2} c^{2} d x + a^{4} e}{2 \, {\left(c^{8} x^{2} - a^{2} c^{6}\right)}} + \frac{e x^{2} + 2 \, d x}{2 \, c^{4}} - \frac{{\left(3 \, a c d - 4 \, a^{2} e\right)} \log\left(c x + a\right)}{4 \, c^{6}} + \frac{{\left(3 \, a c d + 4 \, a^{2} e\right)} \log\left(c x - a\right)}{4 \, c^{6}}"," ",0,"-1/2*(a^2*c^2*d*x + a^4*e)/(c^8*x^2 - a^2*c^6) + 1/2*(e*x^2 + 2*d*x)/c^4 - 1/4*(3*a*c*d - 4*a^2*e)*log(c*x + a)/c^6 + 1/4*(3*a*c*d + 4*a^2*e)*log(c*x - a)/c^6","A",0
307,1,81,0,0.691508," ","integrate(x^3*(e*x+d)/(-c^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{a^{2} e x + a^{2} d}{2 \, {\left(c^{6} x^{2} - a^{2} c^{4}\right)}} + \frac{e x}{c^{4}} + \frac{{\left(2 \, c d - 3 \, a e\right)} \log\left(c x + a\right)}{4 \, c^{5}} + \frac{{\left(2 \, c d + 3 \, a e\right)} \log\left(c x - a\right)}{4 \, c^{5}}"," ",0,"-1/2*(a^2*e*x + a^2*d)/(c^6*x^2 - a^2*c^4) + e*x/c^4 + 1/4*(2*c*d - 3*a*e)*log(c*x + a)/c^5 + 1/4*(2*c*d + 3*a*e)*log(c*x - a)/c^5","A",0
308,1,79,0,0.580419," ","integrate(x^2*(e*x+d)/(-c^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{c^{2} d x + a^{2} e}{2 \, {\left(c^{6} x^{2} - a^{2} c^{4}\right)}} - \frac{{\left(c d - 2 \, a e\right)} \log\left(c x + a\right)}{4 \, a c^{4}} + \frac{{\left(c d + 2 \, a e\right)} \log\left(c x - a\right)}{4 \, a c^{4}}"," ",0,"-1/2*(c^2*d*x + a^2*e)/(c^6*x^2 - a^2*c^4) - 1/4*(c*d - 2*a*e)*log(c*x + a)/(a*c^4) + 1/4*(c*d + 2*a*e)*log(c*x - a)/(a*c^4)","A",0
309,1,58,0,0.508607," ","integrate(x*(e*x+d)/(-c^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{e x + d}{2 \, {\left(c^{4} x^{2} - a^{2} c^{2}\right)}} - \frac{e \log\left(c x + a\right)}{4 \, a c^{3}} + \frac{e \log\left(c x - a\right)}{4 \, a c^{3}}"," ",0,"-1/2*(e*x + d)/(c^4*x^2 - a^2*c^2) - 1/4*e*log(c*x + a)/(a*c^3) + 1/4*e*log(c*x - a)/(a*c^3)","A",0
310,1,68,0,0.567700," ","integrate((e*x+d)/(-c^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{c^{2} d x + a^{2} e}{2 \, {\left(a^{2} c^{4} x^{2} - a^{4} c^{2}\right)}} + \frac{d \log\left(c x + a\right)}{4 \, a^{3} c} - \frac{d \log\left(c x - a\right)}{4 \, a^{3} c}"," ",0,"-1/2*(c^2*d*x + a^2*e)/(a^2*c^4*x^2 - a^4*c^2) + 1/4*d*log(c*x + a)/(a^3*c) - 1/4*d*log(c*x - a)/(a^3*c)","A",0
311,1,80,0,0.692032," ","integrate((e*x+d)/x/(-c^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{e x + d}{2 \, {\left(a^{2} c^{2} x^{2} - a^{4}\right)}} + \frac{d \log\left(x\right)}{a^{4}} - \frac{{\left(2 \, c d - a e\right)} \log\left(c x + a\right)}{4 \, a^{4} c} - \frac{{\left(2 \, c d + a e\right)} \log\left(c x - a\right)}{4 \, a^{4} c}"," ",0,"-1/2*(e*x + d)/(a^2*c^2*x^2 - a^4) + d*log(x)/a^4 - 1/4*(2*c*d - a*e)*log(c*x + a)/(a^4*c) - 1/4*(2*c*d + a*e)*log(c*x - a)/(a^4*c)","A",0
312,1,93,0,0.473867," ","integrate((e*x+d)/x^2/(-c^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, c^{2} d x^{2} + a^{2} e x - 2 \, a^{2} d}{2 \, {\left(a^{4} c^{2} x^{3} - a^{6} x\right)}} + \frac{e \log\left(x\right)}{a^{4}} + \frac{{\left(3 \, c d - 2 \, a e\right)} \log\left(c x + a\right)}{4 \, a^{5}} - \frac{{\left(3 \, c d + 2 \, a e\right)} \log\left(c x - a\right)}{4 \, a^{5}}"," ",0,"-1/2*(3*c^2*d*x^2 + a^2*e*x - 2*a^2*d)/(a^4*c^2*x^3 - a^6*x) + e*log(x)/a^4 + 1/4*(3*c*d - 2*a*e)*log(c*x + a)/a^5 - 1/4*(3*c*d + 2*a*e)*log(c*x - a)/a^5","A",0
313,1,115,0,0.534776," ","integrate((e*x+d)/x^3/(-c^2*x^2+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, c^{2} e x^{3} + 2 \, c^{2} d x^{2} - 2 \, a^{2} e x - a^{2} d}{2 \, {\left(a^{4} c^{2} x^{4} - a^{6} x^{2}\right)}} + \frac{2 \, c^{2} d \log\left(x\right)}{a^{6}} - \frac{{\left(4 \, c^{2} d - 3 \, a c e\right)} \log\left(c x + a\right)}{4 \, a^{6}} - \frac{{\left(4 \, c^{2} d + 3 \, a c e\right)} \log\left(c x - a\right)}{4 \, a^{6}}"," ",0,"-1/2*(3*c^2*e*x^3 + 2*c^2*d*x^2 - 2*a^2*e*x - a^2*d)/(a^4*c^2*x^4 - a^6*x^2) + 2*c^2*d*log(x)/a^6 - 1/4*(4*c^2*d - 3*a*c*e)*log(c*x + a)/a^6 - 1/4*(4*c^2*d + 3*a*c*e)*log(c*x - a)/a^6","A",0
314,1,128,0,0.559983," ","integrate(x^4*(B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B x^{4}}{7 \, c} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A x^{3}}{6 \, c} - \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B a x^{2}}{35 \, c^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A a x}{8 \, c^{2}} + \frac{\sqrt{c x^{2} + a} A a^{2} x}{16 \, c^{2}} + \frac{A a^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, c^{\frac{5}{2}}} + \frac{8 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B a^{2}}{105 \, c^{3}}"," ",0,"1/7*(c*x^2 + a)^(3/2)*B*x^4/c + 1/6*(c*x^2 + a)^(3/2)*A*x^3/c - 4/35*(c*x^2 + a)^(3/2)*B*a*x^2/c^2 - 1/8*(c*x^2 + a)^(3/2)*A*a*x/c^2 + 1/16*sqrt(c*x^2 + a)*A*a^2*x/c^2 + 1/16*A*a^3*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 8/105*(c*x^2 + a)^(3/2)*B*a^2/c^3","A",0
315,1,107,0,0.480389," ","integrate(x^3*(B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B x^{3}}{6 \, c} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A x^{2}}{5 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B a x}{8 \, c^{2}} + \frac{\sqrt{c x^{2} + a} B a^{2} x}{16 \, c^{2}} + \frac{B a^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, c^{\frac{5}{2}}} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A a}{15 \, c^{2}}"," ",0,"1/6*(c*x^2 + a)^(3/2)*B*x^3/c + 1/5*(c*x^2 + a)^(3/2)*A*x^2/c - 1/8*(c*x^2 + a)^(3/2)*B*a*x/c^2 + 1/16*sqrt(c*x^2 + a)*B*a^2*x/c^2 + 1/16*B*a^3*arcsinh(c*x/sqrt(a*c))/c^(5/2) - 2/15*(c*x^2 + a)^(3/2)*A*a/c^2","A",0
316,1,86,0,0.480900," ","integrate(x^2*(B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B x^{2}}{5 \, c} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A x}{4 \, c} - \frac{\sqrt{c x^{2} + a} A a x}{8 \, c} - \frac{A a^{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}} B a}{15 \, c^{2}}"," ",0,"1/5*(c*x^2 + a)^(3/2)*B*x^2/c + 1/4*(c*x^2 + a)^(3/2)*A*x/c - 1/8*sqrt(c*x^2 + a)*A*a*x/c - 1/8*A*a^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) - 2/15*(c*x^2 + a)^(3/2)*B*a/c^2","A",0
317,1,67,0,0.473223," ","integrate(x*(B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B x}{4 \, c} - \frac{\sqrt{c x^{2} + a} B a x}{8 \, c} - \frac{B a^{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}} A}{3 \, c}"," ",0,"1/4*(c*x^2 + a)^(3/2)*B*x/c - 1/8*sqrt(c*x^2 + a)*B*a*x/c - 1/8*B*a^2*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 1/3*(c*x^2 + a)^(3/2)*A/c","A",0
318,1,45,0,0.574008," ","integrate((B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + a} A x + \frac{A a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B}{3 \, c}"," ",0,"1/2*sqrt(c*x^2 + a)*A*x + 1/2*A*a*arcsinh(c*x/sqrt(a*c))/sqrt(c) + 1/3*(c*x^2 + a)^(3/2)*B/c","A",0
319,1,59,0,0.532373," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + a} B x + \frac{B a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c}} - A \sqrt{a} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \sqrt{c x^{2} + a} A"," ",0,"1/2*sqrt(c*x^2 + a)*B*x + 1/2*B*a*arcsinh(c*x/sqrt(a*c))/sqrt(c) - A*sqrt(a)*arcsinh(a/(sqrt(a*c)*abs(x))) + sqrt(c*x^2 + a)*A","A",0
320,1,59,0,0.537560," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/x^2,x, algorithm=""maxima"")","A \sqrt{c} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - B \sqrt{a} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \sqrt{c x^{2} + a} B - \frac{\sqrt{c x^{2} + a} A}{x}"," ",0,"A*sqrt(c)*arcsinh(c*x/sqrt(a*c)) - B*sqrt(a)*arcsinh(a/(sqrt(a*c)*abs(x))) + sqrt(c*x^2 + a)*B - sqrt(c*x^2 + a)*A/x","A",0
321,1,83,0,0.531752," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/x^3,x, algorithm=""maxima"")","B \sqrt{c} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - \frac{A c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{2 \, \sqrt{a}} + \frac{\sqrt{c x^{2} + a} A c}{2 \, a} - \frac{\sqrt{c x^{2} + a} B}{x} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A}{2 \, a x^{2}}"," ",0,"B*sqrt(c)*arcsinh(c*x/sqrt(a*c)) - 1/2*A*c*arcsinh(a/(sqrt(a*c)*abs(x)))/sqrt(a) + 1/2*sqrt(c*x^2 + a)*A*c/a - sqrt(c*x^2 + a)*B/x - 1/2*(c*x^2 + a)^(3/2)*A/(a*x^2)","A",0
322,1,72,0,0.591457," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{B c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{2 \, \sqrt{a}} + \frac{\sqrt{c x^{2} + a} B c}{2 \, a} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B}{2 \, a x^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A}{3 \, a x^{3}}"," ",0,"-1/2*B*c*arcsinh(a/(sqrt(a*c)*abs(x)))/sqrt(a) + 1/2*sqrt(c*x^2 + a)*B*c/a - 1/2*(c*x^2 + a)^(3/2)*B/(a*x^2) - 1/3*(c*x^2 + a)^(3/2)*A/(a*x^3)","A",0
323,1,95,0,0.693594," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/x^5,x, algorithm=""maxima"")","\frac{A c^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{8 \, a^{\frac{3}{2}}} - \frac{\sqrt{c x^{2} + a} A c^{2}}{8 \, a^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A c}{8 \, a^{2} x^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B}{3 \, a x^{3}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A}{4 \, a x^{4}}"," ",0,"1/8*A*c^2*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) - 1/8*sqrt(c*x^2 + a)*A*c^2/a^2 + 1/8*(c*x^2 + a)^(3/2)*A*c/(a^2*x^2) - 1/3*(c*x^2 + a)^(3/2)*B/(a*x^3) - 1/4*(c*x^2 + a)^(3/2)*A/(a*x^4)","A",0
324,1,114,0,0.751526," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/x^6,x, algorithm=""maxima"")","\frac{B c^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{8 \, a^{\frac{3}{2}}} - \frac{\sqrt{c x^{2} + a} B c^{2}}{8 \, a^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B c}{8 \, a^{2} x^{2}} + \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A c}{15 \, a^{2} x^{3}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B}{4 \, a x^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A}{5 \, a x^{5}}"," ",0,"1/8*B*c^2*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) - 1/8*sqrt(c*x^2 + a)*B*c^2/a^2 + 1/8*(c*x^2 + a)^(3/2)*B*c/(a^2*x^2) + 2/15*(c*x^2 + a)^(3/2)*A*c/(a^2*x^3) - 1/4*(c*x^2 + a)^(3/2)*B/(a*x^4) - 1/5*(c*x^2 + a)^(3/2)*A/(a*x^5)","A",0
325,1,135,0,0.593731," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{A c^{3} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{16 \, a^{\frac{5}{2}}} + \frac{\sqrt{c x^{2} + a} A c^{3}}{16 \, a^{3}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A c^{2}}{16 \, a^{3} x^{2}} + \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B c}{15 \, a^{2} x^{3}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A c}{8 \, a^{2} x^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B}{5 \, a x^{5}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A}{6 \, a x^{6}}"," ",0,"-1/16*A*c^3*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(5/2) + 1/16*sqrt(c*x^2 + a)*A*c^3/a^3 - 1/16*(c*x^2 + a)^(3/2)*A*c^2/(a^3*x^2) + 2/15*(c*x^2 + a)^(3/2)*B*c/(a^2*x^3) + 1/8*(c*x^2 + a)^(3/2)*A*c/(a^2*x^4) - 1/5*(c*x^2 + a)^(3/2)*B/(a*x^5) - 1/6*(c*x^2 + a)^(3/2)*A/(a*x^6)","A",0
326,1,147,0,0.665626," ","integrate(x^4*(B*x+A)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B x^{4}}{9 \, c} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A x^{3}}{8 \, c} - \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} B a x^{2}}{63 \, c^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A a x}{16 \, c^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A a^{2} x}{64 \, c^{2}} + \frac{3 \, \sqrt{c x^{2} + a} A a^{3} x}{128 \, c^{2}} + \frac{3 \, A a^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, c^{\frac{5}{2}}} + \frac{8 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} B a^{2}}{315 \, c^{3}}"," ",0,"1/9*(c*x^2 + a)^(5/2)*B*x^4/c + 1/8*(c*x^2 + a)^(5/2)*A*x^3/c - 4/63*(c*x^2 + a)^(5/2)*B*a*x^2/c^2 - 1/16*(c*x^2 + a)^(5/2)*A*a*x/c^2 + 1/64*(c*x^2 + a)^(3/2)*A*a^2*x/c^2 + 3/128*sqrt(c*x^2 + a)*A*a^3*x/c^2 + 3/128*A*a^4*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 8/315*(c*x^2 + a)^(5/2)*B*a^2/c^3","A",0
327,1,126,0,0.596641," ","integrate(x^3*(B*x+A)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B x^{3}}{8 \, c} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A x^{2}}{7 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B a x}{16 \, c^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B a^{2} x}{64 \, c^{2}} + \frac{3 \, \sqrt{c x^{2} + a} B a^{3} x}{128 \, c^{2}} + \frac{3 \, B a^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, c^{\frac{5}{2}}} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} A a}{35 \, c^{2}}"," ",0,"1/8*(c*x^2 + a)^(5/2)*B*x^3/c + 1/7*(c*x^2 + a)^(5/2)*A*x^2/c - 1/16*(c*x^2 + a)^(5/2)*B*a*x/c^2 + 1/64*(c*x^2 + a)^(3/2)*B*a^2*x/c^2 + 3/128*sqrt(c*x^2 + a)*B*a^3*x/c^2 + 3/128*B*a^4*arcsinh(c*x/sqrt(a*c))/c^(5/2) - 2/35*(c*x^2 + a)^(5/2)*A*a/c^2","A",0
328,1,105,0,0.503078," ","integrate(x^2*(B*x+A)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B x^{2}}{7 \, c} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A x}{6 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A a x}{24 \, c} - \frac{\sqrt{c x^{2} + a} A a^{2} x}{16 \, c} - \frac{A a^{3} \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}} B a}{35 \, c^{2}}"," ",0,"1/7*(c*x^2 + a)^(5/2)*B*x^2/c + 1/6*(c*x^2 + a)^(5/2)*A*x/c - 1/24*(c*x^2 + a)^(3/2)*A*a*x/c - 1/16*sqrt(c*x^2 + a)*A*a^2*x/c - 1/16*A*a^3*arcsinh(c*x/sqrt(a*c))/c^(3/2) - 2/35*(c*x^2 + a)^(5/2)*B*a/c^2","A",0
329,1,86,0,0.490430," ","integrate(x*(B*x+A)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B x}{6 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B a x}{24 \, c} - \frac{\sqrt{c x^{2} + a} B a^{2} x}{16 \, c} - \frac{B a^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, c^{\frac{3}{2}}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A}{5 \, c}"," ",0,"1/6*(c*x^2 + a)^(5/2)*B*x/c - 1/24*(c*x^2 + a)^(3/2)*B*a*x/c - 1/16*sqrt(c*x^2 + a)*B*a^2*x/c - 1/16*B*a^3*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 1/5*(c*x^2 + a)^(5/2)*A/c","A",0
330,1,61,0,0.489024," ","integrate((B*x+A)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A x + \frac{3}{8} \, \sqrt{c x^{2} + a} A a x + \frac{3 \, A a^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{c}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B}{5 \, c}"," ",0,"1/4*(c*x^2 + a)^(3/2)*A*x + 3/8*sqrt(c*x^2 + a)*A*a*x + 3/8*A*a^2*arcsinh(c*x/sqrt(a*c))/sqrt(c) + 1/5*(c*x^2 + a)^(5/2)*B/c","A",0
331,1,88,0,0.483330," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B x + \frac{3}{8} \, \sqrt{c x^{2} + a} B a x + \frac{3 \, B a^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{c}} - A a^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{1}{3} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A + \sqrt{c x^{2} + a} A a"," ",0,"1/4*(c*x^2 + a)^(3/2)*B*x + 3/8*sqrt(c*x^2 + a)*B*a*x + 3/8*B*a^2*arcsinh(c*x/sqrt(a*c))/sqrt(c) - A*a^(3/2)*arcsinh(a/(sqrt(a*c)*abs(x))) + 1/3*(c*x^2 + a)^(3/2)*A + sqrt(c*x^2 + a)*A*a","A",0
332,1,88,0,0.554760," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{3}{2} \, \sqrt{c x^{2} + a} A c x + \frac{3}{2} \, A a \sqrt{c} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - B a^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{1}{3} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B + \sqrt{c x^{2} + a} B a - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A}{x}"," ",0,"3/2*sqrt(c*x^2 + a)*A*c*x + 3/2*A*a*sqrt(c)*arcsinh(c*x/sqrt(a*c)) - B*a^(3/2)*arcsinh(a/(sqrt(a*c)*abs(x))) + 1/3*(c*x^2 + a)^(3/2)*B + sqrt(c*x^2 + a)*B*a - (c*x^2 + a)^(3/2)*A/x","A",0
333,1,112,0,0.560897," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{3}{2} \, \sqrt{c x^{2} + a} B c x + \frac{3}{2} \, B a \sqrt{c} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - \frac{3}{2} \, A \sqrt{a} c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{3}{2} \, \sqrt{c x^{2} + a} A c + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A c}{2 \, a} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B}{x} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A}{2 \, a x^{2}}"," ",0,"3/2*sqrt(c*x^2 + a)*B*c*x + 3/2*B*a*sqrt(c)*arcsinh(c*x/sqrt(a*c)) - 3/2*A*sqrt(a)*c*arcsinh(a/(sqrt(a*c)*abs(x))) + 3/2*sqrt(c*x^2 + a)*A*c + 1/2*(c*x^2 + a)^(3/2)*A*c/a - (c*x^2 + a)^(3/2)*B/x - 1/2*(c*x^2 + a)^(5/2)*A/(a*x^2)","A",0
334,1,136,0,0.528782," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/x^4,x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} A c^{2} x}{a} + A c^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - \frac{3}{2} \, B \sqrt{a} c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{3}{2} \, \sqrt{c x^{2} + a} B c + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B c}{2 \, a} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A c}{3 \, a x} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B}{2 \, a x^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A}{3 \, a x^{3}}"," ",0,"sqrt(c*x^2 + a)*A*c^2*x/a + A*c^(3/2)*arcsinh(c*x/sqrt(a*c)) - 3/2*B*sqrt(a)*c*arcsinh(a/(sqrt(a*c)*abs(x))) + 3/2*sqrt(c*x^2 + a)*B*c + 1/2*(c*x^2 + a)^(3/2)*B*c/a - 2/3*(c*x^2 + a)^(3/2)*A*c/(a*x) - 1/2*(c*x^2 + a)^(5/2)*B/(a*x^2) - 1/3*(c*x^2 + a)^(5/2)*A/(a*x^3)","A",0
335,1,164,0,0.561626," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/x^5,x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} B c^{2} x}{a} + B c^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - \frac{3 \, A c^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{8 \, \sqrt{a}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A c^{2}}{8 \, a^{2}} + \frac{3 \, \sqrt{c x^{2} + a} A c^{2}}{8 \, a} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B c}{3 \, a x} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A c}{8 \, a^{2} x^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B}{3 \, a x^{3}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A}{4 \, a x^{4}}"," ",0,"sqrt(c*x^2 + a)*B*c^2*x/a + B*c^(3/2)*arcsinh(c*x/sqrt(a*c)) - 3/8*A*c^2*arcsinh(a/(sqrt(a*c)*abs(x)))/sqrt(a) + 1/8*(c*x^2 + a)^(3/2)*A*c^2/a^2 + 3/8*sqrt(c*x^2 + a)*A*c^2/a - 2/3*(c*x^2 + a)^(3/2)*B*c/(a*x) - 1/8*(c*x^2 + a)^(5/2)*A*c/(a^2*x^2) - 1/3*(c*x^2 + a)^(5/2)*B/(a*x^3) - 1/4*(c*x^2 + a)^(5/2)*A/(a*x^4)","A",0
336,1,113,0,0.649981," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/x^6,x, algorithm=""maxima"")","-\frac{3 \, B c^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{8 \, \sqrt{a}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B c^{2}}{8 \, a^{2}} + \frac{3 \, \sqrt{c x^{2} + a} B c^{2}}{8 \, a} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B c}{8 \, a^{2} x^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B}{4 \, a x^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A}{5 \, a x^{5}}"," ",0,"-3/8*B*c^2*arcsinh(a/(sqrt(a*c)*abs(x)))/sqrt(a) + 1/8*(c*x^2 + a)^(3/2)*B*c^2/a^2 + 3/8*sqrt(c*x^2 + a)*B*c^2/a - 1/8*(c*x^2 + a)^(5/2)*B*c/(a^2*x^2) - 1/4*(c*x^2 + a)^(5/2)*B/(a*x^4) - 1/5*(c*x^2 + a)^(5/2)*A/(a*x^5)","A",0
337,1,134,0,0.576529," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/x^7,x, algorithm=""maxima"")","\frac{A c^{3} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{16 \, a^{\frac{3}{2}}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A c^{3}}{48 \, a^{3}} - \frac{\sqrt{c x^{2} + a} A c^{3}}{16 \, a^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A c^{2}}{48 \, a^{3} x^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A c}{24 \, a^{2} x^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B}{5 \, a x^{5}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A}{6 \, a x^{6}}"," ",0,"1/16*A*c^3*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) - 1/48*(c*x^2 + a)^(3/2)*A*c^3/a^3 - 1/16*sqrt(c*x^2 + a)*A*c^3/a^2 + 1/48*(c*x^2 + a)^(5/2)*A*c^2/(a^3*x^2) + 1/24*(c*x^2 + a)^(5/2)*A*c/(a^2*x^4) - 1/5*(c*x^2 + a)^(5/2)*B/(a*x^5) - 1/6*(c*x^2 + a)^(5/2)*A/(a*x^6)","A",0
338,1,153,0,0.490609," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/x^8,x, algorithm=""maxima"")","\frac{B c^{3} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{16 \, a^{\frac{3}{2}}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B c^{3}}{48 \, a^{3}} - \frac{\sqrt{c x^{2} + a} B c^{3}}{16 \, a^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B c^{2}}{48 \, a^{3} x^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B c}{24 \, a^{2} x^{4}} + \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} A c}{35 \, a^{2} x^{5}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B}{6 \, a x^{6}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A}{7 \, a x^{7}}"," ",0,"1/16*B*c^3*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) - 1/48*(c*x^2 + a)^(3/2)*B*c^3/a^3 - 1/16*sqrt(c*x^2 + a)*B*c^3/a^2 + 1/48*(c*x^2 + a)^(5/2)*B*c^2/(a^3*x^2) + 1/24*(c*x^2 + a)^(5/2)*B*c/(a^2*x^4) + 2/35*(c*x^2 + a)^(5/2)*A*c/(a^2*x^5) - 1/6*(c*x^2 + a)^(5/2)*B/(a*x^6) - 1/7*(c*x^2 + a)^(5/2)*A/(a*x^7)","A",0
339,1,166,0,0.533700," ","integrate(x^4*(B*x+A)*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B x^{4}}{11 \, c} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A x^{3}}{10 \, c} - \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} B a x^{2}}{99 \, c^{2}} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} A a x}{80 \, c^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A a^{2} x}{160 \, c^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} A a^{3} x}{128 \, c^{2}} + \frac{3 \, \sqrt{c x^{2} + a} A a^{4} x}{256 \, c^{2}} + \frac{3 \, A a^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{256 \, c^{\frac{5}{2}}} + \frac{8 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} B a^{2}}{693 \, c^{3}}"," ",0,"1/11*(c*x^2 + a)^(7/2)*B*x^4/c + 1/10*(c*x^2 + a)^(7/2)*A*x^3/c - 4/99*(c*x^2 + a)^(7/2)*B*a*x^2/c^2 - 3/80*(c*x^2 + a)^(7/2)*A*a*x/c^2 + 1/160*(c*x^2 + a)^(5/2)*A*a^2*x/c^2 + 1/128*(c*x^2 + a)^(3/2)*A*a^3*x/c^2 + 3/256*sqrt(c*x^2 + a)*A*a^4*x/c^2 + 3/256*A*a^5*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 8/693*(c*x^2 + a)^(7/2)*B*a^2/c^3","A",0
340,1,145,0,0.587260," ","integrate(x^3*(B*x+A)*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B x^{3}}{10 \, c} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A x^{2}}{9 \, c} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} B a x}{80 \, c^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B a^{2} x}{160 \, c^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} B a^{3} x}{128 \, c^{2}} + \frac{3 \, \sqrt{c x^{2} + a} B a^{4} x}{256 \, c^{2}} + \frac{3 \, B a^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{256 \, c^{\frac{5}{2}}} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} A a}{63 \, c^{2}}"," ",0,"1/10*(c*x^2 + a)^(7/2)*B*x^3/c + 1/9*(c*x^2 + a)^(7/2)*A*x^2/c - 3/80*(c*x^2 + a)^(7/2)*B*a*x/c^2 + 1/160*(c*x^2 + a)^(5/2)*B*a^2*x/c^2 + 1/128*(c*x^2 + a)^(3/2)*B*a^3*x/c^2 + 3/256*sqrt(c*x^2 + a)*B*a^4*x/c^2 + 3/256*B*a^5*arcsinh(c*x/sqrt(a*c))/c^(5/2) - 2/63*(c*x^2 + a)^(7/2)*A*a/c^2","A",0
341,1,124,0,0.671660," ","integrate(x^2*(B*x+A)*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B x^{2}}{9 \, c} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A x}{8 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A a x}{48 \, c} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A a^{2} x}{192 \, c} - \frac{5 \, \sqrt{c x^{2} + a} A a^{3} x}{128 \, c} - \frac{5 \, A a^{4} \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}} B a}{63 \, c^{2}}"," ",0,"1/9*(c*x^2 + a)^(7/2)*B*x^2/c + 1/8*(c*x^2 + a)^(7/2)*A*x/c - 1/48*(c*x^2 + a)^(5/2)*A*a*x/c - 5/192*(c*x^2 + a)^(3/2)*A*a^2*x/c - 5/128*sqrt(c*x^2 + a)*A*a^3*x/c - 5/128*A*a^4*arcsinh(c*x/sqrt(a*c))/c^(3/2) - 2/63*(c*x^2 + a)^(7/2)*B*a/c^2","A",0
342,1,105,0,0.558136," ","integrate(x*(B*x+A)*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B x}{8 \, c} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B a x}{48 \, c} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B a^{2} x}{192 \, c} - \frac{5 \, \sqrt{c x^{2} + a} B a^{3} x}{128 \, c} - \frac{5 \, B a^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{128 \, c^{\frac{3}{2}}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A}{7 \, c}"," ",0,"1/8*(c*x^2 + a)^(7/2)*B*x/c - 1/48*(c*x^2 + a)^(5/2)*B*a*x/c - 5/192*(c*x^2 + a)^(3/2)*B*a^2*x/c - 5/128*sqrt(c*x^2 + a)*B*a^3*x/c - 5/128*B*a^4*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 1/7*(c*x^2 + a)^(7/2)*A/c","A",0
343,1,77,0,0.460139," ","integrate((B*x+A)*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} A x + \frac{5}{24} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A a x + \frac{5}{16} \, \sqrt{c x^{2} + a} A a^{2} x + \frac{5 \, A a^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{c}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B}{7 \, c}"," ",0,"1/6*(c*x^2 + a)^(5/2)*A*x + 5/24*(c*x^2 + a)^(3/2)*A*a*x + 5/16*sqrt(c*x^2 + a)*A*a^2*x + 5/16*A*a^3*arcsinh(c*x/sqrt(a*c))/sqrt(c) + 1/7*(c*x^2 + a)^(7/2)*B/c","A",0
344,1,119,0,0.582922," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} B x + \frac{5}{24} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B a x + \frac{5}{16} \, \sqrt{c x^{2} + a} B a^{2} x + \frac{5 \, B a^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{c}} - A a^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{1}{5} \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} A + \frac{1}{3} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A a + \sqrt{c x^{2} + a} A a^{2}"," ",0,"1/6*(c*x^2 + a)^(5/2)*B*x + 5/24*(c*x^2 + a)^(3/2)*B*a*x + 5/16*sqrt(c*x^2 + a)*B*a^2*x + 5/16*B*a^3*arcsinh(c*x/sqrt(a*c))/sqrt(c) - A*a^(5/2)*arcsinh(a/(sqrt(a*c)*abs(x))) + 1/5*(c*x^2 + a)^(5/2)*A + 1/3*(c*x^2 + a)^(3/2)*A*a + sqrt(c*x^2 + a)*A*a^2","A",0
345,1,120,0,0.532794," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x^2,x, algorithm=""maxima"")","\frac{5}{4} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A c x + \frac{15}{8} \, \sqrt{c x^{2} + a} A a c x + \frac{15}{8} \, A a^{2} \sqrt{c} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - B a^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{1}{5} \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} B + \frac{1}{3} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B a + \sqrt{c x^{2} + a} B a^{2} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A}{x}"," ",0,"5/4*(c*x^2 + a)^(3/2)*A*c*x + 15/8*sqrt(c*x^2 + a)*A*a*c*x + 15/8*A*a^2*sqrt(c)*arcsinh(c*x/sqrt(a*c)) - B*a^(5/2)*arcsinh(a/(sqrt(a*c)*abs(x))) + 1/5*(c*x^2 + a)^(5/2)*B + 1/3*(c*x^2 + a)^(3/2)*B*a + sqrt(c*x^2 + a)*B*a^2 - (c*x^2 + a)^(5/2)*A/x","A",0
346,1,143,0,0.693522," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x^3,x, algorithm=""maxima"")","\frac{5}{4} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B c x + \frac{15}{8} \, \sqrt{c x^{2} + a} B a c x + \frac{15}{8} \, B a^{2} \sqrt{c} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - \frac{5}{2} \, A a^{\frac{3}{2}} c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{5}{6} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A c + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A c}{2 \, a} + \frac{5}{2} \, \sqrt{c x^{2} + a} A a c - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B}{x} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A}{2 \, a x^{2}}"," ",0,"5/4*(c*x^2 + a)^(3/2)*B*c*x + 15/8*sqrt(c*x^2 + a)*B*a*c*x + 15/8*B*a^2*sqrt(c)*arcsinh(c*x/sqrt(a*c)) - 5/2*A*a^(3/2)*c*arcsinh(a/(sqrt(a*c)*abs(x))) + 5/6*(c*x^2 + a)^(3/2)*A*c + 1/2*(c*x^2 + a)^(5/2)*A*c/a + 5/2*sqrt(c*x^2 + a)*A*a*c - (c*x^2 + a)^(5/2)*B/x - 1/2*(c*x^2 + a)^(7/2)*A/(a*x^2)","A",0
347,1,169,0,0.656356," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x^4,x, algorithm=""maxima"")","\frac{5}{2} \, \sqrt{c x^{2} + a} A c^{2} x + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A c^{2} x}{3 \, a} + \frac{5}{2} \, A a c^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - \frac{5}{2} \, B a^{\frac{3}{2}} c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{5}{6} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B c + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B c}{2 \, a} + \frac{5}{2} \, \sqrt{c x^{2} + a} B a c - \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} A c}{3 \, a x} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B}{2 \, a x^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A}{3 \, a x^{3}}"," ",0,"5/2*sqrt(c*x^2 + a)*A*c^2*x + 5/3*(c*x^2 + a)^(3/2)*A*c^2*x/a + 5/2*A*a*c^(3/2)*arcsinh(c*x/sqrt(a*c)) - 5/2*B*a^(3/2)*c*arcsinh(a/(sqrt(a*c)*abs(x))) + 5/6*(c*x^2 + a)^(3/2)*B*c + 1/2*(c*x^2 + a)^(5/2)*B*c/a + 5/2*sqrt(c*x^2 + a)*B*a*c - 4/3*(c*x^2 + a)^(5/2)*A*c/(a*x) - 1/2*(c*x^2 + a)^(7/2)*B/(a*x^2) - 1/3*(c*x^2 + a)^(7/2)*A/(a*x^3)","A",0
348,1,198,0,0.646237," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x^5,x, algorithm=""maxima"")","\frac{5}{2} \, \sqrt{c x^{2} + a} B c^{2} x + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B c^{2} x}{3 \, a} + \frac{5}{2} \, B a c^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - \frac{15}{8} \, A \sqrt{a} c^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{15}{8} \, \sqrt{c x^{2} + a} A c^{2} + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} A c^{2}}{8 \, a^{2}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A c^{2}}{8 \, a} - \frac{4 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} B c}{3 \, a x} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} A c}{8 \, a^{2} x^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B}{3 \, a x^{3}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A}{4 \, a x^{4}}"," ",0,"5/2*sqrt(c*x^2 + a)*B*c^2*x + 5/3*(c*x^2 + a)^(3/2)*B*c^2*x/a + 5/2*B*a*c^(3/2)*arcsinh(c*x/sqrt(a*c)) - 15/8*A*sqrt(a)*c^2*arcsinh(a/(sqrt(a*c)*abs(x))) + 15/8*sqrt(c*x^2 + a)*A*c^2 + 3/8*(c*x^2 + a)^(5/2)*A*c^2/a^2 + 5/8*(c*x^2 + a)^(3/2)*A*c^2/a - 4/3*(c*x^2 + a)^(5/2)*B*c/(a*x) - 3/8*(c*x^2 + a)^(7/2)*A*c/(a^2*x^2) - 1/3*(c*x^2 + a)^(7/2)*B/(a*x^3) - 1/4*(c*x^2 + a)^(7/2)*A/(a*x^4)","A",0
349,1,219,0,0.690382," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x^6,x, algorithm=""maxima"")","\frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A c^{3} x}{3 \, a^{2}} + \frac{\sqrt{c x^{2} + a} A c^{3} x}{a} + A c^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - \frac{15}{8} \, B \sqrt{a} c^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right) + \frac{15}{8} \, \sqrt{c x^{2} + a} B c^{2} + \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} B c^{2}}{8 \, a^{2}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B c^{2}}{8 \, a} - \frac{8 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} A c^{2}}{15 \, a^{2} x} - \frac{3 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} B c}{8 \, a^{2} x^{2}} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} A c}{15 \, a^{2} x^{3}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B}{4 \, a x^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A}{5 \, a x^{5}}"," ",0,"2/3*(c*x^2 + a)^(3/2)*A*c^3*x/a^2 + sqrt(c*x^2 + a)*A*c^3*x/a + A*c^(5/2)*arcsinh(c*x/sqrt(a*c)) - 15/8*B*sqrt(a)*c^2*arcsinh(a/(sqrt(a*c)*abs(x))) + 15/8*sqrt(c*x^2 + a)*B*c^2 + 3/8*(c*x^2 + a)^(5/2)*B*c^2/a^2 + 5/8*(c*x^2 + a)^(3/2)*B*c^2/a - 8/15*(c*x^2 + a)^(5/2)*A*c^2/(a^2*x) - 3/8*(c*x^2 + a)^(7/2)*B*c/(a^2*x^2) - 2/15*(c*x^2 + a)^(7/2)*A*c/(a^2*x^3) - 1/4*(c*x^2 + a)^(7/2)*B/(a*x^4) - 1/5*(c*x^2 + a)^(7/2)*A/(a*x^5)","A",0
350,1,243,0,0.758030," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x^7,x, algorithm=""maxima"")","\frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B c^{3} x}{3 \, a^{2}} + \frac{\sqrt{c x^{2} + a} B c^{3} x}{a} + B c^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right) - \frac{5 \, A c^{3} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{16 \, \sqrt{a}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A c^{3}}{16 \, a^{3}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A c^{3}}{48 \, a^{2}} + \frac{5 \, \sqrt{c x^{2} + a} A c^{3}}{16 \, a} - \frac{8 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} B c^{2}}{15 \, a^{2} x} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A c^{2}}{16 \, a^{3} x^{2}} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} B c}{15 \, a^{2} x^{3}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A c}{24 \, a^{2} x^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B}{5 \, a x^{5}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A}{6 \, a x^{6}}"," ",0,"2/3*(c*x^2 + a)^(3/2)*B*c^3*x/a^2 + sqrt(c*x^2 + a)*B*c^3*x/a + B*c^(5/2)*arcsinh(c*x/sqrt(a*c)) - 5/16*A*c^3*arcsinh(a/(sqrt(a*c)*abs(x)))/sqrt(a) + 1/16*(c*x^2 + a)^(5/2)*A*c^3/a^3 + 5/48*(c*x^2 + a)^(3/2)*A*c^3/a^2 + 5/16*sqrt(c*x^2 + a)*A*c^3/a - 8/15*(c*x^2 + a)^(5/2)*B*c^2/(a^2*x) - 1/16*(c*x^2 + a)^(7/2)*A*c^2/(a^3*x^2) - 2/15*(c*x^2 + a)^(7/2)*B*c/(a^2*x^3) - 1/24*(c*x^2 + a)^(7/2)*A*c/(a^2*x^4) - 1/5*(c*x^2 + a)^(7/2)*B/(a*x^5) - 1/6*(c*x^2 + a)^(7/2)*A/(a*x^6)","B",0
351,1,152,0,0.629655," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x^8,x, algorithm=""maxima"")","-\frac{5 \, B c^{3} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{16 \, \sqrt{a}} + \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B c^{3}}{16 \, a^{3}} + \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B c^{3}}{48 \, a^{2}} + \frac{5 \, \sqrt{c x^{2} + a} B c^{3}}{16 \, a} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B c^{2}}{16 \, a^{3} x^{2}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B c}{24 \, a^{2} x^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B}{6 \, a x^{6}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A}{7 \, a x^{7}}"," ",0,"-5/16*B*c^3*arcsinh(a/(sqrt(a*c)*abs(x)))/sqrt(a) + 1/16*(c*x^2 + a)^(5/2)*B*c^3/a^3 + 5/48*(c*x^2 + a)^(3/2)*B*c^3/a^2 + 5/16*sqrt(c*x^2 + a)*B*c^3/a - 1/16*(c*x^2 + a)^(7/2)*B*c^2/(a^3*x^2) - 1/24*(c*x^2 + a)^(7/2)*B*c/(a^2*x^4) - 1/6*(c*x^2 + a)^(7/2)*B/(a*x^6) - 1/7*(c*x^2 + a)^(7/2)*A/(a*x^7)","A",0
352,1,173,0,0.512603," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x^9,x, algorithm=""maxima"")","\frac{5 \, A c^{4} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{128 \, a^{\frac{3}{2}}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} A c^{4}}{128 \, a^{4}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} A c^{4}}{384 \, a^{3}} - \frac{5 \, \sqrt{c x^{2} + a} A c^{4}}{128 \, a^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A c^{3}}{128 \, a^{4} x^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A c^{2}}{192 \, a^{3} x^{4}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A c}{48 \, a^{2} x^{6}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B}{7 \, a x^{7}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A}{8 \, a x^{8}}"," ",0,"5/128*A*c^4*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) - 1/128*(c*x^2 + a)^(5/2)*A*c^4/a^4 - 5/384*(c*x^2 + a)^(3/2)*A*c^4/a^3 - 5/128*sqrt(c*x^2 + a)*A*c^4/a^2 + 1/128*(c*x^2 + a)^(7/2)*A*c^3/(a^4*x^2) + 1/192*(c*x^2 + a)^(7/2)*A*c^2/(a^3*x^4) + 1/48*(c*x^2 + a)^(7/2)*A*c/(a^2*x^6) - 1/7*(c*x^2 + a)^(7/2)*B/(a*x^7) - 1/8*(c*x^2 + a)^(7/2)*A/(a*x^8)","A",0
353,1,192,0,0.587426," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/x^10,x, algorithm=""maxima"")","\frac{5 \, B c^{4} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{128 \, a^{\frac{3}{2}}} - \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} B c^{4}}{128 \, a^{4}} - \frac{5 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} B c^{4}}{384 \, a^{3}} - \frac{5 \, \sqrt{c x^{2} + a} B c^{4}}{128 \, a^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B c^{3}}{128 \, a^{4} x^{2}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B c^{2}}{192 \, a^{3} x^{4}} + \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B c}{48 \, a^{2} x^{6}} + \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} A c}{63 \, a^{2} x^{7}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} B}{8 \, a x^{8}} - \frac{{\left(c x^{2} + a\right)}^{\frac{7}{2}} A}{9 \, a x^{9}}"," ",0,"5/128*B*c^4*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) - 1/128*(c*x^2 + a)^(5/2)*B*c^4/a^4 - 5/384*(c*x^2 + a)^(3/2)*B*c^4/a^3 - 5/128*sqrt(c*x^2 + a)*B*c^4/a^2 + 1/128*(c*x^2 + a)^(7/2)*B*c^3/(a^4*x^2) + 1/192*(c*x^2 + a)^(7/2)*B*c^2/(a^3*x^4) + 1/48*(c*x^2 + a)^(7/2)*B*c/(a^2*x^6) + 2/63*(c*x^2 + a)^(7/2)*A*c/(a^2*x^7) - 1/8*(c*x^2 + a)^(7/2)*B/(a*x^8) - 1/9*(c*x^2 + a)^(7/2)*A/(a*x^9)","A",0
354,1,109,0,0.574565," ","integrate(x^4*(B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} B x^{4}}{5 \, c} + \frac{\sqrt{c x^{2} + a} A x^{3}}{4 \, c} - \frac{4 \, \sqrt{c x^{2} + a} B a x^{2}}{15 \, c^{2}} - \frac{3 \, \sqrt{c x^{2} + a} A a x}{8 \, c^{2}} + \frac{3 \, A a^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, c^{\frac{5}{2}}} + \frac{8 \, \sqrt{c x^{2} + a} B a^{2}}{15 \, c^{3}}"," ",0,"1/5*sqrt(c*x^2 + a)*B*x^4/c + 1/4*sqrt(c*x^2 + a)*A*x^3/c - 4/15*sqrt(c*x^2 + a)*B*a*x^2/c^2 - 3/8*sqrt(c*x^2 + a)*A*a*x/c^2 + 3/8*A*a^2*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 8/15*sqrt(c*x^2 + a)*B*a^2/c^3","A",0
355,1,88,0,0.475882," ","integrate(x^3*(B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} B x^{3}}{4 \, c} + \frac{\sqrt{c x^{2} + a} A x^{2}}{3 \, c} - \frac{3 \, \sqrt{c x^{2} + a} B a x}{8 \, c^{2}} + \frac{3 \, B a^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, c^{\frac{5}{2}}} - \frac{2 \, \sqrt{c x^{2} + a} A a}{3 \, c^{2}}"," ",0,"1/4*sqrt(c*x^2 + a)*B*x^3/c + 1/3*sqrt(c*x^2 + a)*A*x^2/c - 3/8*sqrt(c*x^2 + a)*B*a*x/c^2 + 3/8*B*a^2*arcsinh(c*x/sqrt(a*c))/c^(5/2) - 2/3*sqrt(c*x^2 + a)*A*a/c^2","A",0
356,1,67,0,0.476466," ","integrate(x^2*(B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} B x^{2}}{3 \, c} + \frac{\sqrt{c x^{2} + a} A x}{2 \, c} - \frac{A a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{3}{2}}} - \frac{2 \, \sqrt{c x^{2} + a} B a}{3 \, c^{2}}"," ",0,"1/3*sqrt(c*x^2 + a)*B*x^2/c + 1/2*sqrt(c*x^2 + a)*A*x/c - 1/2*A*a*arcsinh(c*x/sqrt(a*c))/c^(3/2) - 2/3*sqrt(c*x^2 + a)*B*a/c^2","A",0
357,1,47,0,0.493368," ","integrate(x*(B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} B x}{2 \, c} - \frac{B a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{3}{2}}} + \frac{\sqrt{c x^{2} + a} A}{c}"," ",0,"1/2*sqrt(c*x^2 + a)*B*x/c - 1/2*B*a*arcsinh(c*x/sqrt(a*c))/c^(3/2) + sqrt(c*x^2 + a)*A/c","A",0
358,1,29,0,0.574424," ","integrate((B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{A \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c}} + \frac{\sqrt{c x^{2} + a} B}{c}"," ",0,"A*arcsinh(c*x/sqrt(a*c))/sqrt(c) + sqrt(c*x^2 + a)*B/c","A",0
359,1,33,0,0.542524," ","integrate((B*x+A)/x/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{B \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c}} - \frac{A \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{\sqrt{a}}"," ",0,"B*arcsinh(c*x/sqrt(a*c))/sqrt(c) - A*arcsinh(a/(sqrt(a*c)*abs(x)))/sqrt(a)","A",0
360,1,37,0,0.569112," ","integrate((B*x+A)/x^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{B \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{\sqrt{a}} - \frac{\sqrt{c x^{2} + a} A}{a x}"," ",0,"-B*arcsinh(a/(sqrt(a*c)*abs(x)))/sqrt(a) - sqrt(c*x^2 + a)*A/(a*x)","A",0
361,1,56,0,0.645544," ","integrate((B*x+A)/x^3/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{A c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{2 \, a^{\frac{3}{2}}} - \frac{\sqrt{c x^{2} + a} B}{a x} - \frac{\sqrt{c x^{2} + a} A}{2 \, a x^{2}}"," ",0,"1/2*A*c*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) - sqrt(c*x^2 + a)*B/(a*x) - 1/2*sqrt(c*x^2 + a)*A/(a*x^2)","A",0
362,1,75,0,0.522818," ","integrate((B*x+A)/x^4/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{B c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{2 \, a^{\frac{3}{2}}} + \frac{2 \, \sqrt{c x^{2} + a} A c}{3 \, a^{2} x} - \frac{\sqrt{c x^{2} + a} B}{2 \, a x^{2}} - \frac{\sqrt{c x^{2} + a} A}{3 \, a x^{3}}"," ",0,"1/2*B*c*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) + 2/3*sqrt(c*x^2 + a)*A*c/(a^2*x) - 1/2*sqrt(c*x^2 + a)*B/(a*x^2) - 1/3*sqrt(c*x^2 + a)*A/(a*x^3)","A",0
363,1,96,0,0.636027," ","integrate((B*x+A)/x^5/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, A c^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{8 \, a^{\frac{5}{2}}} + \frac{2 \, \sqrt{c x^{2} + a} B c}{3 \, a^{2} x} + \frac{3 \, \sqrt{c x^{2} + a} A c}{8 \, a^{2} x^{2}} - \frac{\sqrt{c x^{2} + a} B}{3 \, a x^{3}} - \frac{\sqrt{c x^{2} + a} A}{4 \, a x^{4}}"," ",0,"-3/8*A*c^2*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(5/2) + 2/3*sqrt(c*x^2 + a)*B*c/(a^2*x) + 3/8*sqrt(c*x^2 + a)*A*c/(a^2*x^2) - 1/3*sqrt(c*x^2 + a)*B/(a*x^3) - 1/4*sqrt(c*x^2 + a)*A/(a*x^4)","A",0
364,1,117,0,0.482481," ","integrate((B*x+A)/x^6/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, B c^{2} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{8 \, a^{\frac{5}{2}}} - \frac{8 \, \sqrt{c x^{2} + a} A c^{2}}{15 \, a^{3} x} + \frac{3 \, \sqrt{c x^{2} + a} B c}{8 \, a^{2} x^{2}} + \frac{4 \, \sqrt{c x^{2} + a} A c}{15 \, a^{2} x^{3}} - \frac{\sqrt{c x^{2} + a} B}{4 \, a x^{4}} - \frac{\sqrt{c x^{2} + a} A}{5 \, a x^{5}}"," ",0,"-3/8*B*c^2*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(5/2) - 8/15*sqrt(c*x^2 + a)*A*c^2/(a^3*x) + 3/8*sqrt(c*x^2 + a)*B*c/(a^2*x^2) + 4/15*sqrt(c*x^2 + a)*A*c/(a^2*x^3) - 1/4*sqrt(c*x^2 + a)*B/(a*x^4) - 1/5*sqrt(c*x^2 + a)*A/(a*x^5)","A",0
365,1,107,0,0.487517," ","integrate(x^4*(B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{B x^{4}}{3 \, \sqrt{c x^{2} + a} c} + \frac{A x^{3}}{2 \, \sqrt{c x^{2} + a} c} - \frac{4 \, B a x^{2}}{3 \, \sqrt{c x^{2} + a} c^{2}} + \frac{3 \, A a x}{2 \, \sqrt{c x^{2} + a} c^{2}} - \frac{3 \, A a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{5}{2}}} - \frac{8 \, B a^{2}}{3 \, \sqrt{c x^{2} + a} c^{3}}"," ",0,"1/3*B*x^4/(sqrt(c*x^2 + a)*c) + 1/2*A*x^3/(sqrt(c*x^2 + a)*c) - 4/3*B*a*x^2/(sqrt(c*x^2 + a)*c^2) + 3/2*A*a*x/(sqrt(c*x^2 + a)*c^2) - 3/2*A*a*arcsinh(c*x/sqrt(a*c))/c^(5/2) - 8/3*B*a^2/(sqrt(c*x^2 + a)*c^3)","A",0
366,1,85,0,0.672719," ","integrate(x^3*(B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{B x^{3}}{2 \, \sqrt{c x^{2} + a} c} + \frac{A x^{2}}{\sqrt{c x^{2} + a} c} + \frac{3 \, B a x}{2 \, \sqrt{c x^{2} + a} c^{2}} - \frac{3 \, B a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{5}{2}}} + \frac{2 \, A a}{\sqrt{c x^{2} + a} c^{2}}"," ",0,"1/2*B*x^3/(sqrt(c*x^2 + a)*c) + A*x^2/(sqrt(c*x^2 + a)*c) + 3/2*B*a*x/(sqrt(c*x^2 + a)*c^2) - 3/2*B*a*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 2*A*a/(sqrt(c*x^2 + a)*c^2)","A",0
367,1,64,0,0.532561," ","integrate(x^2*(B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{B x^{2}}{\sqrt{c x^{2} + a} c} - \frac{A x}{\sqrt{c x^{2} + a} c} + \frac{A \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}}} + \frac{2 \, B a}{\sqrt{c x^{2} + a} c^{2}}"," ",0,"B*x^2/(sqrt(c*x^2 + a)*c) - A*x/(sqrt(c*x^2 + a)*c) + A*arcsinh(c*x/sqrt(a*c))/c^(3/2) + 2*B*a/(sqrt(c*x^2 + a)*c^2)","A",0
368,1,46,0,0.475102," ","integrate(x*(B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","-\frac{B x}{\sqrt{c x^{2} + a} c} + \frac{B \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}}} - \frac{A}{\sqrt{c x^{2} + a} c}"," ",0,"-B*x/(sqrt(c*x^2 + a)*c) + B*arcsinh(c*x/sqrt(a*c))/c^(3/2) - A/(sqrt(c*x^2 + a)*c)","A",0
369,1,31,0,0.465159," ","integrate((B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{A x}{\sqrt{c x^{2} + a} a} - \frac{B}{\sqrt{c x^{2} + a} c}"," ",0,"A*x/(sqrt(c*x^2 + a)*a) - B/(sqrt(c*x^2 + a)*c)","A",0
370,1,48,0,0.470248," ","integrate((B*x+A)/x/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{B x}{\sqrt{c x^{2} + a} a} - \frac{A \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{a^{\frac{3}{2}}} + \frac{A}{\sqrt{c x^{2} + a} a}"," ",0,"B*x/(sqrt(c*x^2 + a)*a) - A*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) + A/(sqrt(c*x^2 + a)*a)","A",0
371,1,68,0,0.613045," ","integrate((B*x+A)/x^2/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, A c x}{\sqrt{c x^{2} + a} a^{2}} - \frac{B \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{a^{\frac{3}{2}}} + \frac{B}{\sqrt{c x^{2} + a} a} - \frac{A}{\sqrt{c x^{2} + a} a x}"," ",0,"-2*A*c*x/(sqrt(c*x^2 + a)*a^2) - B*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(3/2) + B/(sqrt(c*x^2 + a)*a) - A/(sqrt(c*x^2 + a)*a*x)","A",0
372,1,89,0,0.584744," ","integrate((B*x+A)/x^3/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, B c x}{\sqrt{c x^{2} + a} a^{2}} + \frac{3 \, A c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{2 \, a^{\frac{5}{2}}} - \frac{3 \, A c}{2 \, \sqrt{c x^{2} + a} a^{2}} - \frac{B}{\sqrt{c x^{2} + a} a x} - \frac{A}{2 \, \sqrt{c x^{2} + a} a x^{2}}"," ",0,"-2*B*c*x/(sqrt(c*x^2 + a)*a^2) + 3/2*A*c*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(5/2) - 3/2*A*c/(sqrt(c*x^2 + a)*a^2) - B/(sqrt(c*x^2 + a)*a*x) - 1/2*A/(sqrt(c*x^2 + a)*a*x^2)","A",0
373,1,110,0,0.499198," ","integrate((B*x+A)/x^4/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{8 \, A c^{2} x}{3 \, \sqrt{c x^{2} + a} a^{3}} + \frac{3 \, B c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{2 \, a^{\frac{5}{2}}} - \frac{3 \, B c}{2 \, \sqrt{c x^{2} + a} a^{2}} + \frac{4 \, A c}{3 \, \sqrt{c x^{2} + a} a^{2} x} - \frac{B}{2 \, \sqrt{c x^{2} + a} a x^{2}} - \frac{A}{3 \, \sqrt{c x^{2} + a} a x^{3}}"," ",0,"8/3*A*c^2*x/(sqrt(c*x^2 + a)*a^3) + 3/2*B*c*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(5/2) - 3/2*B*c/(sqrt(c*x^2 + a)*a^2) + 4/3*A*c/(sqrt(c*x^2 + a)*a^2*x) - 1/2*B/(sqrt(c*x^2 + a)*a*x^2) - 1/3*A/(sqrt(c*x^2 + a)*a*x^3)","A",0
374,1,122,0,0.617262," ","integrate(x^4*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, A 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{B x^{4}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{4 \, B a x^{2}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}} - \frac{A x}{3 \, \sqrt{c x^{2} + a} c^{2}} + \frac{A \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{5}{2}}} + \frac{8 \, B a^{2}}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{3}}"," ",0,"-1/3*A*x*(3*x^2/((c*x^2 + a)^(3/2)*c) + 2*a/((c*x^2 + a)^(3/2)*c^2)) + B*x^4/((c*x^2 + a)^(3/2)*c) + 4*B*a*x^2/((c*x^2 + a)^(3/2)*c^2) - 1/3*A*x/(sqrt(c*x^2 + a)*c^2) + A*arcsinh(c*x/sqrt(a*c))/c^(5/2) + 8/3*B*a^2/((c*x^2 + a)^(3/2)*c^3)","A",0
375,1,102,0,0.622217," ","integrate(x^3*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, B 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{A x^{2}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} - \frac{B x}{3 \, \sqrt{c x^{2} + a} c^{2}} + \frac{B \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{5}{2}}} - \frac{2 \, A a}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}}"," ",0,"-1/3*B*x*(3*x^2/((c*x^2 + a)^(3/2)*c) + 2*a/((c*x^2 + a)^(3/2)*c^2)) - A*x^2/((c*x^2 + a)^(3/2)*c) - 1/3*B*x/(sqrt(c*x^2 + a)*c^2) + B*arcsinh(c*x/sqrt(a*c))/c^(5/2) - 2/3*A*a/((c*x^2 + a)^(3/2)*c^2)","A",0
376,1,70,0,0.581099," ","integrate(x^2*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{B x^{2}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} c} - \frac{A x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{A x}{3 \, \sqrt{c x^{2} + a} a c} - \frac{2 \, B a}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c^{2}}"," ",0,"-B*x^2/((c*x^2 + a)^(3/2)*c) - 1/3*A*x/((c*x^2 + a)^(3/2)*c) + 1/3*A*x/(sqrt(c*x^2 + a)*a*c) - 2/3*B*a/((c*x^2 + a)^(3/2)*c^2)","A",0
377,1,51,0,0.548565," ","integrate(x*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{B x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c} + \frac{B x}{3 \, \sqrt{c x^{2} + a} a c} - \frac{A}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c}"," ",0,"-1/3*B*x/((c*x^2 + a)^(3/2)*c) + 1/3*B*x/(sqrt(c*x^2 + a)*a*c) - 1/3*A/((c*x^2 + a)^(3/2)*c)","A",0
378,1,48,0,0.657203," ","integrate((B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, A x}{3 \, \sqrt{c x^{2} + a} a^{2}} + \frac{A x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a} - \frac{B}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} c}"," ",0,"2/3*A*x/(sqrt(c*x^2 + a)*a^2) + 1/3*A*x/((c*x^2 + a)^(3/2)*a) - 1/3*B/((c*x^2 + a)^(3/2)*c)","A",0
379,1,80,0,0.595236," ","integrate((B*x+A)/x/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, B x}{3 \, \sqrt{c x^{2} + a} a^{2}} + \frac{B x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a} - \frac{A \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{a^{\frac{5}{2}}} + \frac{A}{\sqrt{c x^{2} + a} a^{2}} + \frac{A}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a}"," ",0,"2/3*B*x/(sqrt(c*x^2 + a)*a^2) + 1/3*B*x/((c*x^2 + a)^(3/2)*a) - A*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(5/2) + A/(sqrt(c*x^2 + a)*a^2) + 1/3*A/((c*x^2 + a)^(3/2)*a)","A",0
380,1,100,0,0.571927," ","integrate((B*x+A)/x^2/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{8 \, A c x}{3 \, \sqrt{c x^{2} + a} a^{3}} - \frac{4 \, A c x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2}} - \frac{B \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{a^{\frac{5}{2}}} + \frac{B}{\sqrt{c x^{2} + a} a^{2}} + \frac{B}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a} - \frac{A}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} a x}"," ",0,"-8/3*A*c*x/(sqrt(c*x^2 + a)*a^3) - 4/3*A*c*x/((c*x^2 + a)^(3/2)*a^2) - B*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(5/2) + B/(sqrt(c*x^2 + a)*a^2) + 1/3*B/((c*x^2 + a)^(3/2)*a) - A/((c*x^2 + a)^(3/2)*a*x)","A",0
381,1,122,0,0.557123," ","integrate((B*x+A)/x^3/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","-\frac{8 \, B c x}{3 \, \sqrt{c x^{2} + a} a^{3}} - \frac{4 \, B c x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2}} + \frac{5 \, A c \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{2 \, a^{\frac{7}{2}}} - \frac{5 \, A c}{2 \, \sqrt{c x^{2} + a} a^{3}} - \frac{5 \, A c}{6 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2}} - \frac{B}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} a x} - \frac{A}{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a x^{2}}"," ",0,"-8/3*B*c*x/(sqrt(c*x^2 + a)*a^3) - 4/3*B*c*x/((c*x^2 + a)^(3/2)*a^2) + 5/2*A*c*arcsinh(a/(sqrt(a*c)*abs(x)))/a^(7/2) - 5/2*A*c/(sqrt(c*x^2 + a)*a^3) - 5/6*A*c/((c*x^2 + a)^(3/2)*a^2) - B/((c*x^2 + a)^(3/2)*a*x) - 1/2*A/((c*x^2 + a)^(3/2)*a*x^2)","A",0
382,1,64,0,0.529929," ","integrate((e*x+d)/(c*x^2+a)^(7/2),x, algorithm=""maxima"")","\frac{8 \, d x}{15 \, \sqrt{c x^{2} + a} a^{3}} + \frac{4 \, d x}{15 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2}} + \frac{d x}{5 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} a} - \frac{e}{5 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} c}"," ",0,"8/15*d*x/(sqrt(c*x^2 + a)*a^3) + 4/15*d*x/((c*x^2 + a)^(3/2)*a^2) + 1/5*d*x/((c*x^2 + a)^(5/2)*a) - 1/5*e/((c*x^2 + a)^(5/2)*c)","A",0
383,1,80,0,0.607392," ","integrate((e*x+d)/(c*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{16 \, d x}{35 \, \sqrt{c x^{2} + a} a^{4}} + \frac{8 \, d x}{35 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{3}} + \frac{6 \, d x}{35 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} a^{2}} + \frac{d x}{7 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} a} - \frac{e}{7 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} c}"," ",0,"16/35*d*x/(sqrt(c*x^2 + a)*a^4) + 8/35*d*x/((c*x^2 + a)^(3/2)*a^3) + 6/35*d*x/((c*x^2 + a)^(5/2)*a^2) + 1/7*d*x/((c*x^2 + a)^(7/2)*a) - 1/7*e/((c*x^2 + a)^(7/2)*c)","A",0
384,1,29,0,0.464206," ","integrate(x^(7/2)*(B*x+A)*(c*x^2+a),x, algorithm=""maxima"")","\frac{2}{15} \, B c x^{\frac{15}{2}} + \frac{2}{13} \, A c x^{\frac{13}{2}} + \frac{2}{11} \, B a x^{\frac{11}{2}} + \frac{2}{9} \, A a x^{\frac{9}{2}}"," ",0,"2/15*B*c*x^(15/2) + 2/13*A*c*x^(13/2) + 2/11*B*a*x^(11/2) + 2/9*A*a*x^(9/2)","A",0
385,1,29,0,0.621421," ","integrate(x^(5/2)*(B*x+A)*(c*x^2+a),x, algorithm=""maxima"")","\frac{2}{13} \, B c x^{\frac{13}{2}} + \frac{2}{11} \, A c x^{\frac{11}{2}} + \frac{2}{9} \, B a x^{\frac{9}{2}} + \frac{2}{7} \, A a x^{\frac{7}{2}}"," ",0,"2/13*B*c*x^(13/2) + 2/11*A*c*x^(11/2) + 2/9*B*a*x^(9/2) + 2/7*A*a*x^(7/2)","A",0
386,1,29,0,0.487566," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+a),x, algorithm=""maxima"")","\frac{2}{11} \, B c x^{\frac{11}{2}} + \frac{2}{9} \, A c x^{\frac{9}{2}} + \frac{2}{7} \, B a x^{\frac{7}{2}} + \frac{2}{5} \, A a x^{\frac{5}{2}}"," ",0,"2/11*B*c*x^(11/2) + 2/9*A*c*x^(9/2) + 2/7*B*a*x^(7/2) + 2/5*A*a*x^(5/2)","A",0
387,1,29,0,0.599903," ","integrate((B*x+A)*(c*x^2+a)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c x^{\frac{9}{2}} + \frac{2}{7} \, A c x^{\frac{7}{2}} + \frac{2}{5} \, B a x^{\frac{5}{2}} + \frac{2}{3} \, A a x^{\frac{3}{2}}"," ",0,"2/9*B*c*x^(9/2) + 2/7*A*c*x^(7/2) + 2/5*B*a*x^(5/2) + 2/3*A*a*x^(3/2)","A",0
388,1,29,0,0.490582," ","integrate((B*x+A)*(c*x^2+a)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c x^{\frac{7}{2}} + \frac{2}{5} \, A c x^{\frac{5}{2}} + \frac{2}{3} \, B a x^{\frac{3}{2}} + 2 \, A a \sqrt{x}"," ",0,"2/7*B*c*x^(7/2) + 2/5*A*c*x^(5/2) + 2/3*B*a*x^(3/2) + 2*A*a*sqrt(x)","A",0
389,1,29,0,0.514920," ","integrate((B*x+A)*(c*x^2+a)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, B c x^{\frac{5}{2}} + \frac{2}{3} \, A c x^{\frac{3}{2}} + 2 \, B a \sqrt{x} - \frac{2 \, A a}{\sqrt{x}}"," ",0,"2/5*B*c*x^(5/2) + 2/3*A*c*x^(3/2) + 2*B*a*sqrt(x) - 2*A*a/sqrt(x)","A",0
390,1,29,0,0.708604," ","integrate((B*x+A)*(c*x^2+a)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{3} \, B c x^{\frac{3}{2}} + 2 \, A c \sqrt{x} - \frac{2 \, {\left(3 \, B a x + A a\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*B*c*x^(3/2) + 2*A*c*sqrt(x) - 2/3*(3*B*a*x + A*a)/x^(3/2)","A",0
391,1,30,0,0.507644," ","integrate((B*x+A)*(c*x^2+a)/x^(7/2),x, algorithm=""maxima"")","2 \, B c \sqrt{x} - \frac{2 \, {\left(15 \, A c x^{2} + 5 \, B a x + 3 \, A a\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2*B*c*sqrt(x) - 2/15*(15*A*c*x^2 + 5*B*a*x + 3*A*a)/x^(5/2)","A",0
392,1,29,0,0.590550," ","integrate((B*x+A)*(c*x^2+a)/x^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(105 \, B c x^{3} + 35 \, A c x^{2} + 21 \, B a x + 15 \, A a\right)}}{105 \, x^{\frac{7}{2}}}"," ",0,"-2/105*(105*B*c*x^3 + 35*A*c*x^2 + 21*B*a*x + 15*A*a)/x^(7/2)","A",0
393,1,53,0,0.585136," ","integrate(x^(7/2)*(B*x+A)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{2}{19} \, B c^{2} x^{\frac{19}{2}} + \frac{2}{17} \, A c^{2} x^{\frac{17}{2}} + \frac{4}{15} \, B a c x^{\frac{15}{2}} + \frac{4}{13} \, A a c x^{\frac{13}{2}} + \frac{2}{11} \, B a^{2} x^{\frac{11}{2}} + \frac{2}{9} \, A a^{2} x^{\frac{9}{2}}"," ",0,"2/19*B*c^2*x^(19/2) + 2/17*A*c^2*x^(17/2) + 4/15*B*a*c*x^(15/2) + 4/13*A*a*c*x^(13/2) + 2/11*B*a^2*x^(11/2) + 2/9*A*a^2*x^(9/2)","A",0
394,1,53,0,0.525884," ","integrate(x^(5/2)*(B*x+A)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{2}{17} \, B c^{2} x^{\frac{17}{2}} + \frac{2}{15} \, A c^{2} x^{\frac{15}{2}} + \frac{4}{13} \, B a c x^{\frac{13}{2}} + \frac{4}{11} \, A a c x^{\frac{11}{2}} + \frac{2}{9} \, B a^{2} x^{\frac{9}{2}} + \frac{2}{7} \, A a^{2} x^{\frac{7}{2}}"," ",0,"2/17*B*c^2*x^(17/2) + 2/15*A*c^2*x^(15/2) + 4/13*B*a*c*x^(13/2) + 4/11*A*a*c*x^(11/2) + 2/9*B*a^2*x^(9/2) + 2/7*A*a^2*x^(7/2)","A",0
395,1,53,0,0.505229," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{2}{15} \, B c^{2} x^{\frac{15}{2}} + \frac{2}{13} \, A c^{2} x^{\frac{13}{2}} + \frac{4}{11} \, B a c x^{\frac{11}{2}} + \frac{4}{9} \, A a c x^{\frac{9}{2}} + \frac{2}{7} \, B a^{2} x^{\frac{7}{2}} + \frac{2}{5} \, A a^{2} x^{\frac{5}{2}}"," ",0,"2/15*B*c^2*x^(15/2) + 2/13*A*c^2*x^(13/2) + 4/11*B*a*c*x^(11/2) + 4/9*A*a*c*x^(9/2) + 2/7*B*a^2*x^(7/2) + 2/5*A*a^2*x^(5/2)","A",0
396,1,53,0,0.477456," ","integrate((B*x+A)*(c*x^2+a)^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{13} \, B c^{2} x^{\frac{13}{2}} + \frac{2}{11} \, A c^{2} x^{\frac{11}{2}} + \frac{4}{9} \, B a c x^{\frac{9}{2}} + \frac{4}{7} \, A a c x^{\frac{7}{2}} + \frac{2}{5} \, B a^{2} x^{\frac{5}{2}} + \frac{2}{3} \, A a^{2} x^{\frac{3}{2}}"," ",0,"2/13*B*c^2*x^(13/2) + 2/11*A*c^2*x^(11/2) + 4/9*B*a*c*x^(9/2) + 4/7*A*a*c*x^(7/2) + 2/5*B*a^2*x^(5/2) + 2/3*A*a^2*x^(3/2)","A",0
397,1,53,0,0.533522," ","integrate((B*x+A)*(c*x^2+a)^2/x^(1/2),x, algorithm=""maxima"")","\frac{2}{11} \, B c^{2} x^{\frac{11}{2}} + \frac{2}{9} \, A c^{2} x^{\frac{9}{2}} + \frac{4}{7} \, B a c x^{\frac{7}{2}} + \frac{4}{5} \, A a c x^{\frac{5}{2}} + \frac{2}{3} \, B a^{2} x^{\frac{3}{2}} + 2 \, A a^{2} \sqrt{x}"," ",0,"2/11*B*c^2*x^(11/2) + 2/9*A*c^2*x^(9/2) + 4/7*B*a*c*x^(7/2) + 4/5*A*a*c*x^(5/2) + 2/3*B*a^2*x^(3/2) + 2*A*a^2*sqrt(x)","A",0
398,1,53,0,0.655907," ","integrate((B*x+A)*(c*x^2+a)^2/x^(3/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c^{2} x^{\frac{9}{2}} + \frac{2}{7} \, A c^{2} x^{\frac{7}{2}} + \frac{4}{5} \, B a c x^{\frac{5}{2}} + \frac{4}{3} \, A a c x^{\frac{3}{2}} + 2 \, B a^{2} \sqrt{x} - \frac{2 \, A a^{2}}{\sqrt{x}}"," ",0,"2/9*B*c^2*x^(9/2) + 2/7*A*c^2*x^(7/2) + 4/5*B*a*c*x^(5/2) + 4/3*A*a*c*x^(3/2) + 2*B*a^2*sqrt(x) - 2*A*a^2/sqrt(x)","A",0
399,1,53,0,0.528351," ","integrate((B*x+A)*(c*x^2+a)^2/x^(5/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c^{2} x^{\frac{7}{2}} + \frac{2}{5} \, A c^{2} x^{\frac{5}{2}} + \frac{4}{3} \, B a c x^{\frac{3}{2}} + 4 \, A a c \sqrt{x} - \frac{2 \, {\left(3 \, B a^{2} x + A a^{2}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/7*B*c^2*x^(7/2) + 2/5*A*c^2*x^(5/2) + 4/3*B*a*c*x^(3/2) + 4*A*a*c*sqrt(x) - 2/3*(3*B*a^2*x + A*a^2)/x^(3/2)","A",0
400,1,54,0,0.485105," ","integrate((B*x+A)*(c*x^2+a)^2/x^(7/2),x, algorithm=""maxima"")","\frac{2}{5} \, B c^{2} x^{\frac{5}{2}} + \frac{2}{3} \, A c^{2} x^{\frac{3}{2}} + 4 \, B a c \sqrt{x} - \frac{2 \, {\left(30 \, A a c x^{2} + 5 \, B a^{2} x + 3 \, A a^{2}\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2/5*B*c^2*x^(5/2) + 2/3*A*c^2*x^(3/2) + 4*B*a*c*sqrt(x) - 2/15*(30*A*a*c*x^2 + 5*B*a^2*x + 3*A*a^2)/x^(5/2)","A",0
401,1,54,0,0.478565," ","integrate((B*x+A)*(c*x^2+a)^2/x^(9/2),x, algorithm=""maxima"")","\frac{2}{3} \, B c^{2} x^{\frac{3}{2}} + 2 \, A c^{2} \sqrt{x} - \frac{2 \, {\left(210 \, B a c x^{3} + 70 \, A a c x^{2} + 21 \, B a^{2} x + 15 \, A a^{2}\right)}}{105 \, x^{\frac{7}{2}}}"," ",0,"2/3*B*c^2*x^(3/2) + 2*A*c^2*sqrt(x) - 2/105*(210*B*a*c*x^3 + 70*A*a*c*x^2 + 21*B*a^2*x + 15*A*a^2)/x^(7/2)","A",0
402,1,77,0,0.515265," ","integrate(x^(7/2)*(B*x+A)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{2}{23} \, B c^{3} x^{\frac{23}{2}} + \frac{2}{21} \, A c^{3} x^{\frac{21}{2}} + \frac{6}{19} \, B a c^{2} x^{\frac{19}{2}} + \frac{6}{17} \, A a c^{2} x^{\frac{17}{2}} + \frac{2}{5} \, B a^{2} c x^{\frac{15}{2}} + \frac{6}{13} \, A a^{2} c x^{\frac{13}{2}} + \frac{2}{11} \, B a^{3} x^{\frac{11}{2}} + \frac{2}{9} \, A a^{3} x^{\frac{9}{2}}"," ",0,"2/23*B*c^3*x^(23/2) + 2/21*A*c^3*x^(21/2) + 6/19*B*a*c^2*x^(19/2) + 6/17*A*a*c^2*x^(17/2) + 2/5*B*a^2*c*x^(15/2) + 6/13*A*a^2*c*x^(13/2) + 2/11*B*a^3*x^(11/2) + 2/9*A*a^3*x^(9/2)","A",0
403,1,77,0,0.600271," ","integrate(x^(5/2)*(B*x+A)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{2}{21} \, B c^{3} x^{\frac{21}{2}} + \frac{2}{19} \, A c^{3} x^{\frac{19}{2}} + \frac{6}{17} \, B a c^{2} x^{\frac{17}{2}} + \frac{2}{5} \, A a c^{2} x^{\frac{15}{2}} + \frac{6}{13} \, B a^{2} c x^{\frac{13}{2}} + \frac{6}{11} \, A a^{2} c x^{\frac{11}{2}} + \frac{2}{9} \, B a^{3} x^{\frac{9}{2}} + \frac{2}{7} \, A a^{3} x^{\frac{7}{2}}"," ",0,"2/21*B*c^3*x^(21/2) + 2/19*A*c^3*x^(19/2) + 6/17*B*a*c^2*x^(17/2) + 2/5*A*a*c^2*x^(15/2) + 6/13*B*a^2*c*x^(13/2) + 6/11*A*a^2*c*x^(11/2) + 2/9*B*a^3*x^(9/2) + 2/7*A*a^3*x^(7/2)","A",0
404,1,77,0,0.593590," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{2}{19} \, B c^{3} x^{\frac{19}{2}} + \frac{2}{17} \, A c^{3} x^{\frac{17}{2}} + \frac{2}{5} \, B a c^{2} x^{\frac{15}{2}} + \frac{6}{13} \, A a c^{2} x^{\frac{13}{2}} + \frac{6}{11} \, B a^{2} c x^{\frac{11}{2}} + \frac{2}{3} \, A a^{2} c x^{\frac{9}{2}} + \frac{2}{7} \, B a^{3} x^{\frac{7}{2}} + \frac{2}{5} \, A a^{3} x^{\frac{5}{2}}"," ",0,"2/19*B*c^3*x^(19/2) + 2/17*A*c^3*x^(17/2) + 2/5*B*a*c^2*x^(15/2) + 6/13*A*a*c^2*x^(13/2) + 6/11*B*a^2*c*x^(11/2) + 2/3*A*a^2*c*x^(9/2) + 2/7*B*a^3*x^(7/2) + 2/5*A*a^3*x^(5/2)","A",0
405,1,77,0,0.522661," ","integrate((B*x+A)*(c*x^2+a)^3*x^(1/2),x, algorithm=""maxima"")","\frac{2}{17} \, B c^{3} x^{\frac{17}{2}} + \frac{2}{15} \, A c^{3} x^{\frac{15}{2}} + \frac{6}{13} \, B a c^{2} x^{\frac{13}{2}} + \frac{6}{11} \, A a c^{2} x^{\frac{11}{2}} + \frac{2}{3} \, B a^{2} c x^{\frac{9}{2}} + \frac{6}{7} \, A a^{2} c x^{\frac{7}{2}} + \frac{2}{5} \, B a^{3} x^{\frac{5}{2}} + \frac{2}{3} \, A a^{3} x^{\frac{3}{2}}"," ",0,"2/17*B*c^3*x^(17/2) + 2/15*A*c^3*x^(15/2) + 6/13*B*a*c^2*x^(13/2) + 6/11*A*a*c^2*x^(11/2) + 2/3*B*a^2*c*x^(9/2) + 6/7*A*a^2*c*x^(7/2) + 2/5*B*a^3*x^(5/2) + 2/3*A*a^3*x^(3/2)","A",0
406,1,77,0,0.506651," ","integrate((B*x+A)*(c*x^2+a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, B c^{3} x^{\frac{15}{2}} + \frac{2}{13} \, A c^{3} x^{\frac{13}{2}} + \frac{6}{11} \, B a c^{2} x^{\frac{11}{2}} + \frac{2}{3} \, A a c^{2} x^{\frac{9}{2}} + \frac{6}{7} \, B a^{2} c x^{\frac{7}{2}} + \frac{6}{5} \, A a^{2} c x^{\frac{5}{2}} + \frac{2}{3} \, B a^{3} x^{\frac{3}{2}} + 2 \, A a^{3} \sqrt{x}"," ",0,"2/15*B*c^3*x^(15/2) + 2/13*A*c^3*x^(13/2) + 6/11*B*a*c^2*x^(11/2) + 2/3*A*a*c^2*x^(9/2) + 6/7*B*a^2*c*x^(7/2) + 6/5*A*a^2*c*x^(5/2) + 2/3*B*a^3*x^(3/2) + 2*A*a^3*sqrt(x)","A",0
407,1,77,0,0.508511," ","integrate((B*x+A)*(c*x^2+a)^3/x^(3/2),x, algorithm=""maxima"")","\frac{2}{13} \, B c^{3} x^{\frac{13}{2}} + \frac{2}{11} \, A c^{3} x^{\frac{11}{2}} + \frac{2}{3} \, B a c^{2} x^{\frac{9}{2}} + \frac{6}{7} \, A a c^{2} x^{\frac{7}{2}} + \frac{6}{5} \, B a^{2} c x^{\frac{5}{2}} + 2 \, A a^{2} c x^{\frac{3}{2}} + 2 \, B a^{3} \sqrt{x} - \frac{2 \, A a^{3}}{\sqrt{x}}"," ",0,"2/13*B*c^3*x^(13/2) + 2/11*A*c^3*x^(11/2) + 2/3*B*a*c^2*x^(9/2) + 6/7*A*a*c^2*x^(7/2) + 6/5*B*a^2*c*x^(5/2) + 2*A*a^2*c*x^(3/2) + 2*B*a^3*sqrt(x) - 2*A*a^3/sqrt(x)","A",0
408,1,77,0,0.543179," ","integrate((B*x+A)*(c*x^2+a)^3/x^(5/2),x, algorithm=""maxima"")","\frac{2}{11} \, B c^{3} x^{\frac{11}{2}} + \frac{2}{9} \, A c^{3} x^{\frac{9}{2}} + \frac{6}{7} \, B a c^{2} x^{\frac{7}{2}} + \frac{6}{5} \, A a c^{2} x^{\frac{5}{2}} + 2 \, B a^{2} c x^{\frac{3}{2}} + 6 \, A a^{2} c \sqrt{x} - \frac{2 \, {\left(3 \, B a^{3} x + A a^{3}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/11*B*c^3*x^(11/2) + 2/9*A*c^3*x^(9/2) + 6/7*B*a*c^2*x^(7/2) + 6/5*A*a*c^2*x^(5/2) + 2*B*a^2*c*x^(3/2) + 6*A*a^2*c*sqrt(x) - 2/3*(3*B*a^3*x + A*a^3)/x^(3/2)","A",0
409,1,78,0,0.529680," ","integrate((B*x+A)*(c*x^2+a)^3/x^(7/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c^{3} x^{\frac{9}{2}} + \frac{2}{7} \, A c^{3} x^{\frac{7}{2}} + \frac{6}{5} \, B a c^{2} x^{\frac{5}{2}} + 2 \, A a c^{2} x^{\frac{3}{2}} + 6 \, B a^{2} c \sqrt{x} - \frac{2 \, {\left(45 \, A a^{2} c x^{2} + 5 \, B a^{3} x + 3 \, A a^{3}\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2/9*B*c^3*x^(9/2) + 2/7*A*c^3*x^(7/2) + 6/5*B*a*c^2*x^(5/2) + 2*A*a*c^2*x^(3/2) + 6*B*a^2*c*sqrt(x) - 2/15*(45*A*a^2*c*x^2 + 5*B*a^3*x + 3*A*a^3)/x^(5/2)","A",0
410,1,78,0,0.524851," ","integrate((B*x+A)*(c*x^2+a)^3/x^(9/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c^{3} x^{\frac{7}{2}} + \frac{2}{5} \, A c^{3} x^{\frac{5}{2}} + 2 \, B a c^{2} x^{\frac{3}{2}} + 6 \, A a c^{2} \sqrt{x} - \frac{2 \, {\left(105 \, B a^{2} c x^{3} + 35 \, A a^{2} c x^{2} + 7 \, B a^{3} x + 5 \, A a^{3}\right)}}{35 \, x^{\frac{7}{2}}}"," ",0,"2/7*B*c^3*x^(7/2) + 2/5*A*c^3*x^(5/2) + 2*B*a*c^2*x^(3/2) + 6*A*a*c^2*sqrt(x) - 2/35*(105*B*a^2*c*x^3 + 35*A*a^2*c*x^2 + 7*B*a^3*x + 5*A*a^3)/x^(7/2)","A",0
411,1,78,0,0.521292," ","integrate((B*x+A)*(c*x^2+a)^3/x^(11/2),x, algorithm=""maxima"")","\frac{2}{5} \, B c^{3} x^{\frac{5}{2}} + \frac{2}{3} \, A c^{3} x^{\frac{3}{2}} + 6 \, B a c^{2} \sqrt{x} - \frac{2 \, {\left(945 \, A a c^{2} x^{4} + 315 \, B a^{2} c x^{3} + 189 \, A a^{2} c x^{2} + 45 \, B a^{3} x + 35 \, A a^{3}\right)}}{315 \, x^{\frac{9}{2}}}"," ",0,"2/5*B*c^3*x^(5/2) + 2/3*A*c^3*x^(3/2) + 6*B*a*c^2*sqrt(x) - 2/315*(945*A*a*c^2*x^4 + 315*B*a^2*c*x^3 + 189*A*a^2*c*x^2 + 45*B*a^3*x + 35*A*a^3)/x^(9/2)","A",0
412,1,265,0,1.308679," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+a),x, algorithm=""maxima"")","\frac{a {\left(\frac{2 \, \sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{4 \, c^{2}} + \frac{2 \, {\left(3 \, B c x^{\frac{5}{2}} + 5 \, A c x^{\frac{3}{2}} - 15 \, B a \sqrt{x}\right)}}{15 \, c^{2}}"," ",0,"1/4*a*(2*sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/c^2 + 2/15*(3*B*c*x^(5/2) + 5*A*c*x^(3/2) - 15*B*a*sqrt(x))/c^2","A",0
413,1,247,0,1.286811," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+a),x, algorithm=""maxima"")","-\frac{a {\left(\frac{2 \, \sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{4 \, c} + \frac{2 \, {\left(B x^{\frac{3}{2}} + 3 \, A \sqrt{x}\right)}}{3 \, c}"," ",0,"-1/4*a*(2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/c + 2/3*(B*x^(3/2) + 3*A*sqrt(x))/c","A",0
414,1,246,0,1.451779," ","integrate(x^(1/2)*(B*x+A)/(c*x^2+a),x, algorithm=""maxima"")","\frac{2 \, B \sqrt{x}}{c} - \frac{\frac{2 \, \sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{4 \, c}"," ",0,"2*B*sqrt(x)/c - 1/4*(2*sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/c","A",0
415,1,224,0,1.149265," ","integrate((B*x+A)/x^(1/2)/(c*x^2+a),x, algorithm=""maxima"")","\frac{\sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{2 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{2 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{4 \, a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{4 \, a^{\frac{3}{4}} c^{\frac{3}{4}}}"," ",0,"1/2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 1/2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - 1/4*sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + 1/4*sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4))","A",0
416,1,246,0,1.186130," ","integrate((B*x+A)/x^(3/2)/(c*x^2+a),x, algorithm=""maxima"")","\frac{\frac{2 \, \sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{4 \, a} - \frac{2 \, A}{a \sqrt{x}}"," ",0,"1/4*(2*sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a - 2*A/(a*sqrt(x))","A",0
417,1,244,0,1.227182," ","integrate((B*x+A)/x^(5/2)/(c*x^2+a),x, algorithm=""maxima"")","-\frac{c {\left(\frac{2 \, \sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{4 \, a} - \frac{2 \, {\left(3 \, B x + A\right)}}{3 \, a x^{\frac{3}{2}}}"," ",0,"-1/4*c*(2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a - 2/3*(3*B*x + A)/(a*x^(3/2))","A",0
418,1,263,0,1.279718," ","integrate((B*x+A)/x^(7/2)/(c*x^2+a),x, algorithm=""maxima"")","-\frac{c {\left(\frac{2 \, \sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{4 \, a^{2}} + \frac{2 \, {\left(15 \, A c x^{2} - 5 \, B a x - 3 \, A a\right)}}{15 \, a^{2} x^{\frac{5}{2}}}"," ",0,"-1/4*c*(2*sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a^2 + 2/15*(15*A*c*x^2 - 5*B*a*x - 3*A*a)/(a^2*x^(5/2))","A",0
419,1,264,0,1.242852," ","integrate((B*x+A)/x^(9/2)/(c*x^2+a),x, algorithm=""maxima"")","\frac{c^{2} {\left(\frac{2 \, \sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{4 \, a^{2}} + \frac{2 \, {\left(105 \, B c x^{3} + 35 \, A c x^{2} - 21 \, B a x - 15 \, A a\right)}}{105 \, a^{2} x^{\frac{7}{2}}}"," ",0,"1/4*c^2*(2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a^2 + 2/105*(105*B*c*x^3 + 35*A*c*x^2 - 21*B*a*x - 15*A*a)/(a^2*x^(7/2))","A",0
420,1,283,0,1.357331," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{A c x^{\frac{3}{2}} - B a \sqrt{x}}{2 \, {\left(c^{3} x^{2} + a c^{2}\right)}} + \frac{2 \, B \sqrt{x}}{c^{2}} - \frac{\frac{2 \, \sqrt{2} {\left(5 \, B a \sqrt{c} - 3 \, A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(5 \, B a \sqrt{c} - 3 \, A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(5 \, B a \sqrt{c} + 3 \, A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(5 \, B a \sqrt{c} + 3 \, A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{16 \, c^{2}}"," ",0,"-1/2*(A*c*x^(3/2) - B*a*sqrt(x))/(c^3*x^2 + a*c^2) + 2*B*sqrt(x)/c^2 - 1/16*(2*sqrt(2)*(5*B*a*sqrt(c) - 3*A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(5*B*a*sqrt(c) - 3*A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(5*B*a*sqrt(c) + 3*A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(5*B*a*sqrt(c) + 3*A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/c^2","A",0
421,1,259,0,1.212077," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{B x^{\frac{3}{2}} + A \sqrt{x}}{2 \, {\left(c^{2} x^{2} + a c\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(3 \, B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(3 \, B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(3 \, B \sqrt{a} - A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(3 \, B \sqrt{a} - A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{16 \, c}"," ",0,"-1/2*(B*x^(3/2) + A*sqrt(x))/(c^2*x^2 + a*c) + 1/16*(2*sqrt(2)*(3*B*sqrt(a) + A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(3*B*sqrt(a) + A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(3*B*sqrt(a) - A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(3*B*sqrt(a) - A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/c","A",0
422,1,272,0,1.238849," ","integrate(x^(1/2)*(B*x+A)/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{A c x^{\frac{3}{2}} - B a \sqrt{x}}{2 \, {\left(a c^{2} x^{2} + a^{2} c\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B a \sqrt{c} + A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(B a \sqrt{c} - A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{16 \, a c}"," ",0,"1/2*(A*c*x^(3/2) - B*a*sqrt(x))/(a*c^2*x^2 + a^2*c) + 1/16*(2*sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*a*sqrt(c) + A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(B*a*sqrt(c) - A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c)","A",0
423,1,256,0,1.140732," ","integrate((B*x+A)/x^(1/2)/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{B x^{\frac{3}{2}} + A \sqrt{x}}{2 \, {\left(a c x^{2} + a^{2}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(B \sqrt{a} + 3 \, A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B \sqrt{a} + 3 \, A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(B \sqrt{a} - 3 \, A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(B \sqrt{a} - 3 \, A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{16 \, a}"," ",0,"1/2*(B*x^(3/2) + A*sqrt(x))/(a*c*x^2 + a^2) + 1/16*(2*sqrt(2)*(B*sqrt(a) + 3*A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*sqrt(a) + 3*A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(B*sqrt(a) - 3*A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(B*sqrt(a) - 3*A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a","A",0
424,1,280,0,1.194059," ","integrate((B*x+A)/x^(3/2)/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{5 \, A c x^{2} - B a x + 4 \, A a}{2 \, {\left(a^{2} c x^{\frac{5}{2}} + a^{3} \sqrt{x}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(3 \, B a \sqrt{c} - 5 \, A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(3 \, B a \sqrt{c} - 5 \, A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(3 \, B a \sqrt{c} + 5 \, A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(3 \, B a \sqrt{c} + 5 \, A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{16 \, a^{2}}"," ",0,"-1/2*(5*A*c*x^2 - B*a*x + 4*A*a)/(a^2*c*x^(5/2) + a^3*sqrt(x)) + 1/16*(2*sqrt(2)*(3*B*a*sqrt(c) - 5*A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(3*B*a*sqrt(c) - 5*A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(3*B*a*sqrt(c) + 5*A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(3*B*a*sqrt(c) + 5*A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a^2","A",0
425,1,280,0,1.238981," ","integrate((B*x+A)/x^(5/2)/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{15 \, B c x^{3} + 7 \, A c x^{2} + 12 \, B a x + 4 \, A a}{6 \, {\left(a^{2} c x^{\frac{7}{2}} + a^{3} x^{\frac{3}{2}}\right)}} - \frac{c {\left(\frac{2 \, \sqrt{2} {\left(5 \, B \sqrt{a} + 7 \, A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(5 \, B \sqrt{a} + 7 \, A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(5 \, B \sqrt{a} - 7 \, A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(5 \, B \sqrt{a} - 7 \, A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{16 \, a^{2}}"," ",0,"-1/6*(15*B*c*x^3 + 7*A*c*x^2 + 12*B*a*x + 4*A*a)/(a^2*c*x^(7/2) + a^3*x^(3/2)) - 1/16*c*(2*sqrt(2)*(5*B*sqrt(a) + 7*A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(5*B*sqrt(a) + 7*A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(5*B*sqrt(a) - 7*A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(5*B*sqrt(a) - 7*A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a^2","A",0
426,1,292,0,1.334584," ","integrate(x^(7/2)*(B*x+A)/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{11 \, B c x^{\frac{7}{2}} + 9 \, A c x^{\frac{5}{2}} + 7 \, B a x^{\frac{3}{2}} + 5 \, A a \sqrt{x}}{16 \, {\left(c^{4} x^{4} + 2 \, a c^{3} x^{2} + a^{2} c^{2}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(21 \, B \sqrt{a} + 5 \, A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(21 \, B \sqrt{a} + 5 \, A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(21 \, B \sqrt{a} - 5 \, A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(21 \, B \sqrt{a} - 5 \, A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{128 \, c^{2}}"," ",0,"-1/16*(11*B*c*x^(7/2) + 9*A*c*x^(5/2) + 7*B*a*x^(3/2) + 5*A*a*sqrt(x))/(c^4*x^4 + 2*a*c^3*x^2 + a^2*c^2) + 1/128*(2*sqrt(2)*(21*B*sqrt(a) + 5*A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(21*B*sqrt(a) + 5*A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(21*B*sqrt(a) - 5*A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(21*B*sqrt(a) - 5*A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/c^2","A",0
427,1,312,0,1.221862," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{3 \, A c^{2} x^{\frac{7}{2}} - 9 \, B a c x^{\frac{5}{2}} - A a c x^{\frac{3}{2}} - 5 \, B a^{2} \sqrt{x}}{16 \, {\left(a c^{4} x^{4} + 2 \, a^{2} c^{3} x^{2} + a^{3} c^{2}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(5 \, B a \sqrt{c} + 3 \, A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(5 \, B a \sqrt{c} + 3 \, A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(5 \, B a \sqrt{c} - 3 \, A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(5 \, B a \sqrt{c} - 3 \, A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{128 \, a c^{2}}"," ",0,"1/16*(3*A*c^2*x^(7/2) - 9*B*a*c*x^(5/2) - A*a*c*x^(3/2) - 5*B*a^2*sqrt(x))/(a*c^4*x^4 + 2*a^2*c^3*x^2 + a^3*c^2) + 1/128*(2*sqrt(2)*(5*B*a*sqrt(c) + 3*A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(5*B*a*sqrt(c) + 3*A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(5*B*a*sqrt(c) - 3*A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(5*B*a*sqrt(c) - 3*A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c^2)","A",0
428,1,289,0,1.350267," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{3 \, B c x^{\frac{7}{2}} + A c x^{\frac{5}{2}} - B a x^{\frac{3}{2}} - 3 \, A a \sqrt{x}}{16 \, {\left(a c^{3} x^{4} + 2 \, a^{2} c^{2} x^{2} + a^{3} c\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(B \sqrt{a} + A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(B \sqrt{a} - A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{128 \, a c}"," ",0,"1/16*(3*B*c*x^(7/2) + A*c*x^(5/2) - B*a*x^(3/2) - 3*A*a*sqrt(x))/(a*c^3*x^4 + 2*a^2*c^2*x^2 + a^3*c) + 3/128*(2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(B*sqrt(a) + A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(B*sqrt(a) - A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c)","A",0
429,1,311,0,1.285151," ","integrate(x^(1/2)*(B*x+A)/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{5 \, A c^{2} x^{\frac{7}{2}} + B a c x^{\frac{5}{2}} + 9 \, A a c x^{\frac{3}{2}} - 3 \, B a^{2} \sqrt{x}}{16 \, {\left(a^{2} c^{3} x^{4} + 2 \, a^{3} c^{2} x^{2} + a^{4} c\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(3 \, B a \sqrt{c} + 5 \, A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(3 \, B a \sqrt{c} + 5 \, A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(3 \, B a \sqrt{c} - 5 \, A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(3 \, B a \sqrt{c} - 5 \, A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{128 \, a^{2} c}"," ",0,"1/16*(5*A*c^2*x^(7/2) + B*a*c*x^(5/2) + 9*A*a*c*x^(3/2) - 3*B*a^2*sqrt(x))/(a^2*c^3*x^4 + 2*a^3*c^2*x^2 + a^4*c) + 1/128*(2*sqrt(2)*(3*B*a*sqrt(c) + 5*A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(3*B*a*sqrt(c) + 5*A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(3*B*a*sqrt(c) - 5*A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(3*B*a*sqrt(c) - 5*A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a^2*c)","A",0
430,1,291,0,1.495729," ","integrate((B*x+A)/x^(1/2)/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{5 \, B c x^{\frac{7}{2}} + 7 \, A c x^{\frac{5}{2}} + 9 \, B a x^{\frac{3}{2}} + 11 \, A a \sqrt{x}}{16 \, {\left(a^{2} c^{2} x^{4} + 2 \, a^{3} c x^{2} + a^{4}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(5 \, B \sqrt{a} + 21 \, A \sqrt{c}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(5 \, B \sqrt{a} + 21 \, A \sqrt{c}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(5 \, B \sqrt{a} - 21 \, A \sqrt{c}\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(5 \, B \sqrt{a} - 21 \, A \sqrt{c}\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{128 \, a^{2}}"," ",0,"1/16*(5*B*c*x^(7/2) + 7*A*c*x^(5/2) + 9*B*a*x^(3/2) + 11*A*a*sqrt(x))/(a^2*c^2*x^4 + 2*a^3*c*x^2 + a^4) + 1/128*(2*sqrt(2)*(5*B*sqrt(a) + 21*A*sqrt(c))*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(5*B*sqrt(a) + 21*A*sqrt(c))*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(5*B*sqrt(a) - 21*A*sqrt(c))*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(5*B*sqrt(a) - 21*A*sqrt(c))*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a^2","A",0
431,1,313,0,1.384731," ","integrate((B*x+A)/x^(3/2)/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{45 \, A c^{2} x^{4} - 7 \, B a c x^{3} + 81 \, A a c x^{2} - 11 \, B a^{2} x + 32 \, A a^{2}}{16 \, {\left(a^{3} c^{2} x^{\frac{9}{2}} + 2 \, a^{4} c x^{\frac{5}{2}} + a^{5} \sqrt{x}\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} {\left(7 \, B a \sqrt{c} - 15 \, A \sqrt{a} c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(7 \, B a \sqrt{c} - 15 \, A \sqrt{a} c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(7 \, B a \sqrt{c} + 15 \, A \sqrt{a} c\right)} \log\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(7 \, B a \sqrt{c} + 15 \, A \sqrt{a} c\right)} \log\left(-\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{128 \, a^{3}}"," ",0,"-1/16*(45*A*c^2*x^4 - 7*B*a*c*x^3 + 81*A*a*c*x^2 - 11*B*a^2*x + 32*A*a^2)/(a^3*c^2*x^(9/2) + 2*a^4*c*x^(5/2) + a^5*sqrt(x)) + 3/128*(2*sqrt(2)*(7*B*a*sqrt(c) - 15*A*sqrt(a)*c)*arctan(1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(7*B*a*sqrt(c) - 15*A*sqrt(a)*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*a^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(7*B*a*sqrt(c) + 15*A*sqrt(a)*c)*log(sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(7*B*a*sqrt(c) + 15*A*sqrt(a)*c)*log(-sqrt(2)*a^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/a^3","A",0
432,1,34,0,1.248375," ","integrate((1-x)/(x^2+1)/x^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{1}{2} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right)"," ",0,"1/2*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 1/2*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1)","A",0
433,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(B x + A\right)} \left(e x\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)*(e*x)^(7/2), x)","F",0
434,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(B x + A\right)} \left(e x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)*(e*x)^(5/2), x)","F",0
435,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(B x + A\right)} \left(e x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)*(e*x)^(3/2), x)","F",0
436,0,0,0,0.000000," ","integrate((e*x)^(1/2)*(B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(B x + A\right)} \sqrt{e x}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)*sqrt(e*x), x)","F",0
437,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(B x + A\right)}}{\sqrt{e x}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)/sqrt(e*x), x)","F",0
438,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(B x + A\right)}}{\left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)/(e*x)^(3/2), x)","F",0
439,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(B x + A\right)}}{\left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)/(e*x)^(5/2), x)","F",0
440,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(B x + A\right)}}{\left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)/(e*x)^(7/2), x)","F",0
441,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/(e*x)^(9/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(B x + A\right)}}{\left(e x\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)/(e*x)^(9/2), x)","F",0
442,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x+A)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(B x + A\right)} \left(e x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)*(e*x)^(5/2), x)","F",0
443,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x+A)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(B x + A\right)} \left(e x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)*(e*x)^(3/2), x)","F",0
444,0,0,0,0.000000," ","integrate((e*x)^(1/2)*(B*x+A)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(B x + A\right)} \sqrt{e x}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)*sqrt(e*x), x)","F",0
445,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(B x + A\right)}}{\sqrt{e x}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)/sqrt(e*x), x)","F",0
446,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(B x + A\right)}}{\left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)/(e*x)^(3/2), x)","F",0
447,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(B x + A\right)}}{\left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)/(e*x)^(5/2), x)","F",0
448,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(B x + A\right)}}{\left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)/(e*x)^(7/2), x)","F",0
449,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(3/2)/(e*x)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(B x + A\right)}}{\left(e x\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)/(e*x)^(9/2), x)","F",0
450,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x+A)*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(B x + A\right)} \left(e x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*(B*x + A)*(e*x)^(3/2), x)","F",0
451,0,0,0,0.000000," ","integrate((e*x)^(1/2)*(B*x+A)*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(B x + A\right)} \sqrt{e x}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*(B*x + A)*sqrt(e*x), x)","F",0
452,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(B x + A\right)}}{\sqrt{e x}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*(B*x + A)/sqrt(e*x), x)","F",0
453,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(B x + A\right)}}{\left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*(B*x + A)/(e*x)^(3/2), x)","F",0
454,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(B x + A\right)}}{\left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*(B*x + A)/(e*x)^(5/2), x)","F",0
455,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(B x + A\right)}}{\left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*(B*x + A)/(e*x)^(7/2), x)","F",0
456,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(B x + A\right)}}{\left(e x\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*(B*x + A)/(e*x)^(9/2), x)","F",0
457,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(5/2)/(e*x)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(B x + A\right)}}{\left(e x\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*(B*x + A)/(e*x)^(11/2), x)","F",0
458,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{7}{2}}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(7/2)/sqrt(c*x^2 + a), x)","F",0
459,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{5}{2}}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(5/2)/sqrt(c*x^2 + a), x)","F",0
460,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{3}{2}}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(3/2)/sqrt(c*x^2 + a), x)","F",0
461,0,0,0,0.000000," ","integrate((e*x)^(1/2)*(B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x)/sqrt(c*x^2 + a), x)","F",0
462,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + a} \sqrt{e x}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + a)*sqrt(e*x)), x)","F",0
463,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(3/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + a} \left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + a)*(e*x)^(3/2)), x)","F",0
464,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(5/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + a} \left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + a)*(e*x)^(5/2)), x)","F",0
465,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(7/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + a} \left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + a)*(e*x)^(7/2)), x)","F",0
466,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{7}{2}}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(7/2)/(c*x^2 + a)^(3/2), x)","F",0
467,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{5}{2}}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(5/2)/(c*x^2 + a)^(3/2), x)","F",0
468,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{3}{2}}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(3/2)/(c*x^2 + a)^(3/2), x)","F",0
469,0,0,0,0.000000," ","integrate((e*x)^(1/2)*(B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x)/(c*x^2 + a)^(3/2), x)","F",0
470,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(1/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} \sqrt{e x}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + a)^(3/2)*sqrt(e*x)), x)","F",0
471,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(3/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} \left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + a)^(3/2)*(e*x)^(3/2)), x)","F",0
472,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(5/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} \left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + a)^(3/2)*(e*x)^(5/2)), x)","F",0
473,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(7/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} \left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + a)^(3/2)*(e*x)^(7/2)), x)","F",0
474,0,0,0,0.000000," ","integrate((e*x)^(13/2)*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{13}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(13/2)/(c*x^2 + a)^(5/2), x)","F",0
475,0,0,0,0.000000," ","integrate((e*x)^(11/2)*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{11}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(11/2)/(c*x^2 + a)^(5/2), x)","F",0
476,0,0,0,0.000000," ","integrate((e*x)^(9/2)*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{9}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(9/2)/(c*x^2 + a)^(5/2), x)","F",0
477,0,0,0,0.000000," ","integrate((e*x)^(7/2)*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{7}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(7/2)/(c*x^2 + a)^(5/2), x)","F",0
478,0,0,0,0.000000," ","integrate((e*x)^(5/2)*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{5}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(5/2)/(c*x^2 + a)^(5/2), x)","F",0
479,0,0,0,0.000000," ","integrate((e*x)^(3/2)*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{\frac{3}{2}}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^(3/2)/(c*x^2 + a)^(5/2), x)","F",0
480,0,0,0,0.000000," ","integrate((e*x)^(1/2)*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x)/(c*x^2 + a)^(5/2), x)","F",0
481,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(1/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + a\right)}^{\frac{5}{2}} \sqrt{e x}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + a)^(5/2)*sqrt(e*x)), x)","F",0
482,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(3/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + a\right)}^{\frac{5}{2}} \left(e x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + a)^(5/2)*(e*x)^(3/2)), x)","F",0
483,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(5/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + a\right)}^{\frac{5}{2}} \left(e x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + a)^(5/2)*(e*x)^(5/2)), x)","F",0
484,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(7/2)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + a\right)}^{\frac{5}{2}} \left(e x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + a)^(5/2)*(e*x)^(7/2)), x)","F",0
485,1,208,0,0.781752," ","integrate((e*x)^m*(B*x+A)*(c*x^2+a)^4,x, algorithm=""maxima"")","\frac{B c^{4} e^{m} x^{10} x^{m}}{m + 10} + \frac{A c^{4} e^{m} x^{9} x^{m}}{m + 9} + \frac{4 \, B a c^{3} e^{m} x^{8} x^{m}}{m + 8} + \frac{4 \, A a c^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{6 \, B a^{2} c^{2} e^{m} x^{6} x^{m}}{m + 6} + \frac{6 \, A a^{2} c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{4 \, B a^{3} c e^{m} x^{4} x^{m}}{m + 4} + \frac{4 \, A a^{3} c e^{m} x^{3} x^{m}}{m + 3} + \frac{B a^{4} e^{m} x^{2} x^{m}}{m + 2} + \frac{\left(e x\right)^{m + 1} A a^{4}}{e {\left(m + 1\right)}}"," ",0,"B*c^4*e^m*x^10*x^m/(m + 10) + A*c^4*e^m*x^9*x^m/(m + 9) + 4*B*a*c^3*e^m*x^8*x^m/(m + 8) + 4*A*a*c^3*e^m*x^7*x^m/(m + 7) + 6*B*a^2*c^2*e^m*x^6*x^m/(m + 6) + 6*A*a^2*c^2*e^m*x^5*x^m/(m + 5) + 4*B*a^3*c*e^m*x^4*x^m/(m + 4) + 4*A*a^3*c*e^m*x^3*x^m/(m + 3) + B*a^4*e^m*x^2*x^m/(m + 2) + (e*x)^(m + 1)*A*a^4/(e*(m + 1))","A",0
486,1,162,0,0.618724," ","integrate((e*x)^m*(B*x+A)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{B c^{3} e^{m} x^{8} x^{m}}{m + 8} + \frac{A c^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B a c^{2} e^{m} x^{6} x^{m}}{m + 6} + \frac{3 \, A a c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, B a^{2} c e^{m} x^{4} x^{m}}{m + 4} + \frac{3 \, A a^{2} c e^{m} x^{3} x^{m}}{m + 3} + \frac{B a^{3} e^{m} x^{2} x^{m}}{m + 2} + \frac{\left(e x\right)^{m + 1} A a^{3}}{e {\left(m + 1\right)}}"," ",0,"B*c^3*e^m*x^8*x^m/(m + 8) + A*c^3*e^m*x^7*x^m/(m + 7) + 3*B*a*c^2*e^m*x^6*x^m/(m + 6) + 3*A*a*c^2*e^m*x^5*x^m/(m + 5) + 3*B*a^2*c*e^m*x^4*x^m/(m + 4) + 3*A*a^2*c*e^m*x^3*x^m/(m + 3) + B*a^3*e^m*x^2*x^m/(m + 2) + (e*x)^(m + 1)*A*a^3/(e*(m + 1))","A",0
487,1,116,0,0.610045," ","integrate((e*x)^m*(B*x+A)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{B c^{2} e^{m} x^{6} x^{m}}{m + 6} + \frac{A c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, B a c e^{m} x^{4} x^{m}}{m + 4} + \frac{2 \, A a c e^{m} x^{3} x^{m}}{m + 3} + \frac{B a^{2} e^{m} x^{2} x^{m}}{m + 2} + \frac{\left(e x\right)^{m + 1} A a^{2}}{e {\left(m + 1\right)}}"," ",0,"B*c^2*e^m*x^6*x^m/(m + 6) + A*c^2*e^m*x^5*x^m/(m + 5) + 2*B*a*c*e^m*x^4*x^m/(m + 4) + 2*A*a*c*e^m*x^3*x^m/(m + 3) + B*a^2*e^m*x^2*x^m/(m + 2) + (e*x)^(m + 1)*A*a^2/(e*(m + 1))","A",0
488,1,70,0,0.612643," ","integrate((e*x)^m*(B*x+A)*(c*x^2+a),x, algorithm=""maxima"")","\frac{B c e^{m} x^{4} x^{m}}{m + 4} + \frac{A c e^{m} x^{3} x^{m}}{m + 3} + \frac{B a e^{m} x^{2} x^{m}}{m + 2} + \frac{\left(e x\right)^{m + 1} A a}{e {\left(m + 1\right)}}"," ",0,"B*c*e^m*x^4*x^m/(m + 4) + A*c*e^m*x^3*x^m/(m + 3) + B*a*e^m*x^2*x^m/(m + 2) + (e*x)^(m + 1)*A*a/(e*(m + 1))","A",0
489,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{c x^{2} + a}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/(c*x^2 + a), x)","F",0
490,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/(c*x^2 + a)^2, x)","F",0
491,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{{\left(c x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/(c*x^2 + a)^3, x)","F",0
492,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)*(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{5}{2}} {\left(B x + A\right)} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + a)^(5/2)*(B*x + A)*(e*x)^m, x)","F",0
493,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)*(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(B x + A\right)} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)*(e*x)^m, x)","F",0
494,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(B x + A\right)} \left(e x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)*(e*x)^m, x)","F",0
495,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/sqrt(c*x^2 + a), x)","F",0
496,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/(c*x^2 + a)^(3/2), x)","F",0
497,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{{\left(c x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/(c*x^2 + a)^(5/2), x)","F",0
498,0,0,0,0.000000," ","integrate(x^m*(a*x+1)/(-a^2*x^2+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(a x + 1\right)} x^{m}}{{\left(a^{2} x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((a*x + 1)*x^m/(a^2*x^2 - 1)^2, x)","F",0
499,0,0,0,0.000000," ","integrate(x^m/(-a*x+1)^2/(a*x+1),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(a x + 1\right)} {\left(a x - 1\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/((a*x + 1)*(a*x - 1)^2), x)","F",0
500,0,0,0,0.000000," ","integrate(x^m/(-a^2*x^2+1)^2+a*x^(1+m)/(-a^2*x^2+1)^2,x, algorithm=""maxima"")","\int \frac{a x^{m + 1}}{{\left(a^{2} x^{2} - 1\right)}^{2}} + \frac{x^{m}}{{\left(a^{2} x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(a*x^(m + 1)/(a^2*x^2 - 1)^2 + x^m/(a^2*x^2 - 1)^2, x)","F",0
501,0,0,0,0.000000," ","integrate(x^m/(-a*x+1)/(-a^2*x^2+1),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(a^{2} x^{2} - 1\right)} {\left(a x - 1\right)}}\,{d x}"," ",0,"integrate(x^m/((a^2*x^2 - 1)*(a*x - 1)), x)","F",0
502,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(c x^{2} + a\right)}^{p} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + a)^p*(e*x)^m, x)","F",0
503,0,0,0,0.000000," ","integrate(x^3*(e*x+d)*(c*x^2+a)^p,x, algorithm=""maxima"")","e \int {\left(c x^{2} + a\right)}^{p} x^{4}\,{d x} + \frac{{\left(c^{2} {\left(p + 1\right)} x^{4} + a c p x^{2} - a^{2}\right)} {\left(c x^{2} + a\right)}^{p} d}{2 \, {\left(p^{2} + 3 \, p + 2\right)} c^{2}}"," ",0,"e*integrate((c*x^2 + a)^p*x^4, x) + 1/2*(c^2*(p + 1)*x^4 + a*c*p*x^2 - a^2)*(c*x^2 + a)^p*d/((p^2 + 3*p + 2)*c^2)","F",0
504,0,0,0,0.000000," ","integrate(x^2*(e*x+d)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(c x^{2} + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((e*x + d)*(c*x^2 + a)^p*x^2, x)","F",0
505,0,0,0,0.000000," ","integrate(x*(e*x+d)*(c*x^2+a)^p,x, algorithm=""maxima"")","e \int {\left(c x^{2} + a\right)}^{p} x^{2}\,{d x} + \frac{{\left(c x^{2} + a\right)}^{p + 1} d}{2 \, c {\left(p + 1\right)}}"," ",0,"e*integrate((c*x^2 + a)^p*x^2, x) + 1/2*(c*x^2 + a)^(p + 1)*d/(c*(p + 1))","F",0
506,0,0,0,0.000000," ","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
507,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+a)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} {\left(c x^{2} + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((e*x + d)*(c*x^2 + a)^p/x, x)","F",0
508,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+a)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} {\left(c x^{2} + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((e*x + d)*(c*x^2 + a)^p/x^2, x)","F",0
509,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+a)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} {\left(c x^{2} + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((e*x + d)*(c*x^2 + a)^p/x^3, x)","F",0
510,1,51,0,0.577746," ","integrate(x^4*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{8} \, B b^{2} x^{8} + \frac{1}{5} \, A a^{2} x^{5} + \frac{1}{7} \, {\left(2 \, B a b + A b^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B a^{2} + 2 \, A a b\right)} x^{6}"," ",0,"1/8*B*b^2*x^8 + 1/5*A*a^2*x^5 + 1/7*(2*B*a*b + A*b^2)*x^7 + 1/6*(B*a^2 + 2*A*a*b)*x^6","A",0
511,1,51,0,0.555712," ","integrate(x^3*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{7} \, B b^{2} x^{7} + \frac{1}{4} \, A a^{2} x^{4} + \frac{1}{6} \, {\left(2 \, B a b + A b^{2}\right)} x^{6} + \frac{1}{5} \, {\left(B a^{2} + 2 \, A a b\right)} x^{5}"," ",0,"1/7*B*b^2*x^7 + 1/4*A*a^2*x^4 + 1/6*(2*B*a*b + A*b^2)*x^6 + 1/5*(B*a^2 + 2*A*a*b)*x^5","A",0
512,1,51,0,0.558934," ","integrate(x^2*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{6} \, B b^{2} x^{6} + \frac{1}{3} \, A a^{2} x^{3} + \frac{1}{5} \, {\left(2 \, B a b + A b^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B a^{2} + 2 \, A a b\right)} x^{4}"," ",0,"1/6*B*b^2*x^6 + 1/3*A*a^2*x^3 + 1/5*(2*B*a*b + A*b^2)*x^5 + 1/4*(B*a^2 + 2*A*a*b)*x^4","A",0
513,1,51,0,0.524069," ","integrate(x*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{5} \, B b^{2} x^{5} + \frac{1}{2} \, A a^{2} x^{2} + \frac{1}{4} \, {\left(2 \, B a b + A b^{2}\right)} x^{4} + \frac{1}{3} \, {\left(B a^{2} + 2 \, A a b\right)} x^{3}"," ",0,"1/5*B*b^2*x^5 + 1/2*A*a^2*x^2 + 1/4*(2*B*a*b + A*b^2)*x^4 + 1/3*(B*a^2 + 2*A*a*b)*x^3","A",0
514,1,48,0,0.470413," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{4} \, B b^{2} x^{4} + A a^{2} x + \frac{1}{3} \, {\left(2 \, B a b + A b^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{2} + 2 \, A a b\right)} x^{2}"," ",0,"1/4*B*b^2*x^4 + A*a^2*x + 1/3*(2*B*a*b + A*b^2)*x^3 + 1/2*(B*a^2 + 2*A*a*b)*x^2","A",0
515,1,46,0,0.596417," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, B b^{2} x^{3} + A a^{2} \log\left(x\right) + \frac{1}{2} \, {\left(2 \, B a b + A b^{2}\right)} x^{2} + {\left(B a^{2} + 2 \, A a b\right)} x"," ",0,"1/3*B*b^2*x^3 + A*a^2*log(x) + 1/2*(2*B*a*b + A*b^2)*x^2 + (B*a^2 + 2*A*a*b)*x","A",0
516,1,46,0,0.600176," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, B b^{2} x^{2} - \frac{A a^{2}}{x} + {\left(2 \, B a b + A b^{2}\right)} x + {\left(B a^{2} + 2 \, A a b\right)} \log\left(x\right)"," ",0,"1/2*B*b^2*x^2 - A*a^2/x + (2*B*a*b + A*b^2)*x + (B*a^2 + 2*A*a*b)*log(x)","A",0
517,1,46,0,0.562884," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^3,x, algorithm=""maxima"")","B b^{2} x + {\left(2 \, B a b + A b^{2}\right)} \log\left(x\right) - \frac{A a^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} x}{2 \, x^{2}}"," ",0,"B*b^2*x + (2*B*a*b + A*b^2)*log(x) - 1/2*(A*a^2 + 2*(B*a^2 + 2*A*a*b)*x)/x^2","A",0
518,1,50,0,0.551190," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^4,x, algorithm=""maxima"")","B b^{2} \log\left(x\right) - \frac{2 \, A a^{2} + 6 \, {\left(2 \, B a b + A b^{2}\right)} x^{2} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} x}{6 \, x^{3}}"," ",0,"B*b^2*log(x) - 1/6*(2*A*a^2 + 6*(2*B*a*b + A*b^2)*x^2 + 3*(B*a^2 + 2*A*a*b)*x)/x^3","A",0
519,1,51,0,0.566485," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^5,x, algorithm=""maxima"")","-\frac{12 \, B b^{2} x^{3} + 3 \, A a^{2} + 6 \, {\left(2 \, B a b + A b^{2}\right)} x^{2} + 4 \, {\left(B a^{2} + 2 \, A a b\right)} x}{12 \, x^{4}}"," ",0,"-1/12*(12*B*b^2*x^3 + 3*A*a^2 + 6*(2*B*a*b + A*b^2)*x^2 + 4*(B*a^2 + 2*A*a*b)*x)/x^4","A",0
520,1,51,0,0.516482," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^6,x, algorithm=""maxima"")","-\frac{30 \, B b^{2} x^{3} + 12 \, A a^{2} + 20 \, {\left(2 \, B a b + A b^{2}\right)} x^{2} + 15 \, {\left(B a^{2} + 2 \, A a b\right)} x}{60 \, x^{5}}"," ",0,"-1/60*(30*B*b^2*x^3 + 12*A*a^2 + 20*(2*B*a*b + A*b^2)*x^2 + 15*(B*a^2 + 2*A*a*b)*x)/x^5","A",0
521,1,51,0,0.587584," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^7,x, algorithm=""maxima"")","-\frac{20 \, B b^{2} x^{3} + 10 \, A a^{2} + 15 \, {\left(2 \, B a b + A b^{2}\right)} x^{2} + 12 \, {\left(B a^{2} + 2 \, A a b\right)} x}{60 \, x^{6}}"," ",0,"-1/60*(20*B*b^2*x^3 + 10*A*a^2 + 15*(2*B*a*b + A*b^2)*x^2 + 12*(B*a^2 + 2*A*a*b)*x)/x^6","A",0
522,1,51,0,0.467352," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^8,x, algorithm=""maxima"")","-\frac{105 \, B b^{2} x^{3} + 60 \, A a^{2} + 84 \, {\left(2 \, B a b + A b^{2}\right)} x^{2} + 70 \, {\left(B a^{2} + 2 \, A a b\right)} x}{420 \, x^{7}}"," ",0,"-1/420*(105*B*b^2*x^3 + 60*A*a^2 + 84*(2*B*a*b + A*b^2)*x^2 + 70*(B*a^2 + 2*A*a*b)*x)/x^7","A",0
523,1,99,0,0.482806," ","integrate(x^4*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{10} \, B b^{4} x^{10} + \frac{1}{5} \, A a^{4} x^{5} + \frac{1}{9} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{9} + \frac{1}{4} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{8} + \frac{2}{7} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{6}"," ",0,"1/10*B*b^4*x^10 + 1/5*A*a^4*x^5 + 1/9*(4*B*a*b^3 + A*b^4)*x^9 + 1/4*(3*B*a^2*b^2 + 2*A*a*b^3)*x^8 + 2/7*(2*B*a^3*b + 3*A*a^2*b^2)*x^7 + 1/6*(B*a^4 + 4*A*a^3*b)*x^6","A",0
524,1,99,0,0.566337," ","integrate(x^3*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{9} \, B b^{4} x^{9} + \frac{1}{4} \, A a^{4} x^{4} + \frac{1}{8} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{8} + \frac{2}{7} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{7} + \frac{1}{3} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{6} + \frac{1}{5} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{5}"," ",0,"1/9*B*b^4*x^9 + 1/4*A*a^4*x^4 + 1/8*(4*B*a*b^3 + A*b^4)*x^8 + 2/7*(3*B*a^2*b^2 + 2*A*a*b^3)*x^7 + 1/3*(2*B*a^3*b + 3*A*a^2*b^2)*x^6 + 1/5*(B*a^4 + 4*A*a^3*b)*x^5","A",0
525,1,99,0,0.518603," ","integrate(x^2*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{8} \, B b^{4} x^{8} + \frac{1}{3} \, A a^{4} x^{3} + \frac{1}{7} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{7} + \frac{1}{3} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{6} + \frac{2}{5} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{4}"," ",0,"1/8*B*b^4*x^8 + 1/3*A*a^4*x^3 + 1/7*(4*B*a*b^3 + A*b^4)*x^7 + 1/3*(3*B*a^2*b^2 + 2*A*a*b^3)*x^6 + 2/5*(2*B*a^3*b + 3*A*a^2*b^2)*x^5 + 1/4*(B*a^4 + 4*A*a^3*b)*x^4","A",0
526,1,99,0,0.455259," ","integrate(x*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{7} \, B b^{4} x^{7} + \frac{1}{2} \, A a^{4} x^{2} + \frac{1}{6} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{6} + \frac{2}{5} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{5} + \frac{1}{2} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{4} + \frac{1}{3} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{3}"," ",0,"1/7*B*b^4*x^7 + 1/2*A*a^4*x^2 + 1/6*(4*B*a*b^3 + A*b^4)*x^6 + 2/5*(3*B*a^2*b^2 + 2*A*a*b^3)*x^5 + 1/2*(2*B*a^3*b + 3*A*a^2*b^2)*x^4 + 1/3*(B*a^4 + 4*A*a^3*b)*x^3","A",0
527,1,96,0,0.480264," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{6} \, B b^{4} x^{6} + A a^{4} x + \frac{1}{5} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{5} + \frac{1}{2} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{4} + \frac{2}{3} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{2}"," ",0,"1/6*B*b^4*x^6 + A*a^4*x + 1/5*(4*B*a*b^3 + A*b^4)*x^5 + 1/2*(3*B*a^2*b^2 + 2*A*a*b^3)*x^4 + 2/3*(2*B*a^3*b + 3*A*a^2*b^2)*x^3 + 1/2*(B*a^4 + 4*A*a^3*b)*x^2","B",0
528,1,93,0,0.491847," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x,x, algorithm=""maxima"")","\frac{1}{5} \, B b^{4} x^{5} + A a^{4} \log\left(x\right) + \frac{1}{4} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{4} + \frac{2}{3} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3} + {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + {\left(B a^{4} + 4 \, A a^{3} b\right)} x"," ",0,"1/5*B*b^4*x^5 + A*a^4*log(x) + 1/4*(4*B*a*b^3 + A*b^4)*x^4 + 2/3*(3*B*a^2*b^2 + 2*A*a*b^3)*x^3 + (2*B*a^3*b + 3*A*a^2*b^2)*x^2 + (B*a^4 + 4*A*a^3*b)*x","A",0
529,1,94,0,0.534930," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, B b^{4} x^{4} - \frac{A a^{4}}{x} + \frac{1}{3} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{3} + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{2} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x + {\left(B a^{4} + 4 \, A a^{3} b\right)} \log\left(x\right)"," ",0,"1/4*B*b^4*x^4 - A*a^4/x + 1/3*(4*B*a*b^3 + A*b^4)*x^3 + (3*B*a^2*b^2 + 2*A*a*b^3)*x^2 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*x + (B*a^4 + 4*A*a^3*b)*log(x)","A",0
530,1,96,0,0.552963," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^3,x, algorithm=""maxima"")","\frac{1}{3} \, B b^{4} x^{3} + \frac{1}{2} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{2} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} \log\left(x\right) - \frac{A a^{4} + 2 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x}{2 \, x^{2}}"," ",0,"1/3*B*b^4*x^3 + 1/2*(4*B*a*b^3 + A*b^4)*x^2 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*x + 2*(2*B*a^3*b + 3*A*a^2*b^2)*log(x) - 1/2*(A*a^4 + 2*(B*a^4 + 4*A*a^3*b)*x)/x^2","A",0
531,1,96,0,0.485481," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^4,x, algorithm=""maxima"")","\frac{1}{2} \, B b^{4} x^{2} + {\left(4 \, B a b^{3} + A b^{4}\right)} x + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} \log\left(x\right) - \frac{2 \, A a^{4} + 12 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 3 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x}{6 \, x^{3}}"," ",0,"1/2*B*b^4*x^2 + (4*B*a*b^3 + A*b^4)*x + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*log(x) - 1/6*(2*A*a^4 + 12*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 3*(B*a^4 + 4*A*a^3*b)*x)/x^3","A",0
532,1,95,0,0.462390," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^5,x, algorithm=""maxima"")","B b^{4} x + {\left(4 \, B a b^{3} + A b^{4}\right)} \log\left(x\right) - \frac{3 \, A a^{4} + 24 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3} + 12 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 4 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x}{12 \, x^{4}}"," ",0,"B*b^4*x + (4*B*a*b^3 + A*b^4)*log(x) - 1/12*(3*A*a^4 + 24*(3*B*a^2*b^2 + 2*A*a*b^3)*x^3 + 12*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 4*(B*a^4 + 4*A*a^3*b)*x)/x^4","A",0
533,1,98,0,0.460593," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^6,x, algorithm=""maxima"")","B b^{4} \log\left(x\right) - \frac{12 \, A a^{4} + 60 \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{4} + 60 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3} + 40 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 15 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x}{60 \, x^{5}}"," ",0,"B*b^4*log(x) - 1/60*(12*A*a^4 + 60*(4*B*a*b^3 + A*b^4)*x^4 + 60*(3*B*a^2*b^2 + 2*A*a*b^3)*x^3 + 40*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 15*(B*a^4 + 4*A*a^3*b)*x)/x^5","A",0
534,1,99,0,0.581552," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^7,x, algorithm=""maxima"")","-\frac{30 \, B b^{4} x^{5} + 5 \, A a^{4} + 15 \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{4} + 20 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3} + 15 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 6 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x}{30 \, x^{6}}"," ",0,"-1/30*(30*B*b^4*x^5 + 5*A*a^4 + 15*(4*B*a*b^3 + A*b^4)*x^4 + 20*(3*B*a^2*b^2 + 2*A*a*b^3)*x^3 + 15*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 6*(B*a^4 + 4*A*a^3*b)*x)/x^6","B",0
535,1,99,0,0.590446," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^8,x, algorithm=""maxima"")","-\frac{105 \, B b^{4} x^{5} + 30 \, A a^{4} + 70 \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{4} + 105 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3} + 84 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 35 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x}{210 \, x^{7}}"," ",0,"-1/210*(105*B*b^4*x^5 + 30*A*a^4 + 70*(4*B*a*b^3 + A*b^4)*x^4 + 105*(3*B*a^2*b^2 + 2*A*a*b^3)*x^3 + 84*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 35*(B*a^4 + 4*A*a^3*b)*x)/x^7","A",0
536,1,99,0,0.516932," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^9,x, algorithm=""maxima"")","-\frac{280 \, B b^{4} x^{5} + 105 \, A a^{4} + 210 \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{4} + 336 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3} + 280 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 120 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x}{840 \, x^{8}}"," ",0,"-1/840*(280*B*b^4*x^5 + 105*A*a^4 + 210*(4*B*a*b^3 + A*b^4)*x^4 + 336*(3*B*a^2*b^2 + 2*A*a*b^3)*x^3 + 280*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 120*(B*a^4 + 4*A*a^3*b)*x)/x^8","A",0
537,1,99,0,0.470023," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^10,x, algorithm=""maxima"")","-\frac{630 \, B b^{4} x^{5} + 280 \, A a^{4} + 504 \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{4} + 840 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3} + 720 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 315 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x}{2520 \, x^{9}}"," ",0,"-1/2520*(630*B*b^4*x^5 + 280*A*a^4 + 504*(4*B*a*b^3 + A*b^4)*x^4 + 840*(3*B*a^2*b^2 + 2*A*a*b^3)*x^3 + 720*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 315*(B*a^4 + 4*A*a^3*b)*x)/x^9","A",0
538,1,99,0,0.452910," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^11,x, algorithm=""maxima"")","-\frac{252 \, B b^{4} x^{5} + 126 \, A a^{4} + 210 \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{4} + 360 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3} + 315 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 140 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x}{1260 \, x^{10}}"," ",0,"-1/1260*(252*B*b^4*x^5 + 126*A*a^4 + 210*(4*B*a*b^3 + A*b^4)*x^4 + 360*(3*B*a^2*b^2 + 2*A*a*b^3)*x^3 + 315*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 140*(B*a^4 + 4*A*a^3*b)*x)/x^10","A",0
539,1,147,0,0.477559," ","integrate(x^5*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{13} \, B b^{6} x^{13} + \frac{1}{6} \, A a^{6} x^{6} + \frac{1}{12} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{12} + \frac{3}{11} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{11} + \frac{1}{2} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{10} + \frac{5}{9} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{9} + \frac{3}{8} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{8} + \frac{1}{7} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{7}"," ",0,"1/13*B*b^6*x^13 + 1/6*A*a^6*x^6 + 1/12*(6*B*a*b^5 + A*b^6)*x^12 + 3/11*(5*B*a^2*b^4 + 2*A*a*b^5)*x^11 + 1/2*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^10 + 5/9*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^9 + 3/8*(2*B*a^5*b + 5*A*a^4*b^2)*x^8 + 1/7*(B*a^6 + 6*A*a^5*b)*x^7","A",0
540,1,147,0,0.497795," ","integrate(x^4*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{12} \, B b^{6} x^{12} + \frac{1}{5} \, A a^{6} x^{5} + \frac{1}{11} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{11} + \frac{3}{10} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{10} + \frac{5}{9} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{9} + \frac{5}{8} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{8} + \frac{3}{7} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{6}"," ",0,"1/12*B*b^6*x^12 + 1/5*A*a^6*x^5 + 1/11*(6*B*a*b^5 + A*b^6)*x^11 + 3/10*(5*B*a^2*b^4 + 2*A*a*b^5)*x^10 + 5/9*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^9 + 5/8*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^8 + 3/7*(2*B*a^5*b + 5*A*a^4*b^2)*x^7 + 1/6*(B*a^6 + 6*A*a^5*b)*x^6","A",0
541,1,147,0,0.531056," ","integrate(x^3*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{11} \, B b^{6} x^{11} + \frac{1}{4} \, A a^{6} x^{4} + \frac{1}{10} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{10} + \frac{1}{3} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{9} + \frac{5}{8} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{8} + \frac{5}{7} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{7} + \frac{1}{2} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{6} + \frac{1}{5} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{5}"," ",0,"1/11*B*b^6*x^11 + 1/4*A*a^6*x^4 + 1/10*(6*B*a*b^5 + A*b^6)*x^10 + 1/3*(5*B*a^2*b^4 + 2*A*a*b^5)*x^9 + 5/8*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^8 + 5/7*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^7 + 1/2*(2*B*a^5*b + 5*A*a^4*b^2)*x^6 + 1/5*(B*a^6 + 6*A*a^5*b)*x^5","A",0
542,1,147,0,0.504689," ","integrate(x^2*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{10} \, B b^{6} x^{10} + \frac{1}{3} \, A a^{6} x^{3} + \frac{1}{9} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{9} + \frac{3}{8} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{8} + \frac{5}{7} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{7} + \frac{5}{6} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{6} + \frac{3}{5} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{4}"," ",0,"1/10*B*b^6*x^10 + 1/3*A*a^6*x^3 + 1/9*(6*B*a*b^5 + A*b^6)*x^9 + 3/8*(5*B*a^2*b^4 + 2*A*a*b^5)*x^8 + 5/7*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^7 + 5/6*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^6 + 3/5*(2*B*a^5*b + 5*A*a^4*b^2)*x^5 + 1/4*(B*a^6 + 6*A*a^5*b)*x^4","A",0
543,1,146,0,0.458521," ","integrate(x*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{9} \, B b^{6} x^{9} + \frac{1}{2} \, A a^{6} x^{2} + \frac{1}{8} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{8} + \frac{3}{7} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{7} + \frac{5}{6} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{6} + {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{5} + \frac{3}{4} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{4} + \frac{1}{3} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{3}"," ",0,"1/9*B*b^6*x^9 + 1/2*A*a^6*x^2 + 1/8*(6*B*a*b^5 + A*b^6)*x^8 + 3/7*(5*B*a^2*b^4 + 2*A*a*b^5)*x^7 + 5/6*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^6 + (3*B*a^4*b^2 + 4*A*a^3*b^3)*x^5 + 3/4*(2*B*a^5*b + 5*A*a^4*b^2)*x^4 + 1/3*(B*a^6 + 6*A*a^5*b)*x^3","B",0
544,1,142,0,0.673991," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{8} \, B b^{6} x^{8} + A a^{6} x + \frac{1}{7} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{7} + \frac{1}{2} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{6} + {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{5} + \frac{5}{4} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{4} + {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{2}"," ",0,"1/8*B*b^6*x^8 + A*a^6*x + 1/7*(6*B*a*b^5 + A*b^6)*x^7 + 1/2*(5*B*a^2*b^4 + 2*A*a*b^5)*x^6 + (4*B*a^3*b^3 + 3*A*a^2*b^4)*x^5 + 5/4*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^4 + (2*B*a^5*b + 5*A*a^4*b^2)*x^3 + 1/2*(B*a^6 + 6*A*a^5*b)*x^2","B",0
545,1,142,0,0.506080," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x,x, algorithm=""maxima"")","\frac{1}{7} \, B b^{6} x^{7} + A a^{6} \log\left(x\right) + \frac{1}{6} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{6} + \frac{3}{5} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{5} + \frac{5}{4} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + \frac{5}{3} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + \frac{3}{2} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + {\left(B a^{6} + 6 \, A a^{5} b\right)} x"," ",0,"1/7*B*b^6*x^7 + A*a^6*log(x) + 1/6*(6*B*a*b^5 + A*b^6)*x^6 + 3/5*(5*B*a^2*b^4 + 2*A*a*b^5)*x^5 + 5/4*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 5/3*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 3/2*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + (B*a^6 + 6*A*a^5*b)*x","A",0
546,1,143,0,0.624271," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^2,x, algorithm=""maxima"")","\frac{1}{6} \, B b^{6} x^{6} - \frac{A a^{6}}{x} + \frac{1}{5} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{5} + \frac{3}{4} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{4} + \frac{5}{3} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{3} + \frac{5}{2} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{2} + 3 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x + {\left(B a^{6} + 6 \, A a^{5} b\right)} \log\left(x\right)"," ",0,"1/6*B*b^6*x^6 - A*a^6/x + 1/5*(6*B*a*b^5 + A*b^6)*x^5 + 3/4*(5*B*a^2*b^4 + 2*A*a*b^5)*x^4 + 5/3*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^3 + 5/2*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^2 + 3*(2*B*a^5*b + 5*A*a^4*b^2)*x + (B*a^6 + 6*A*a^5*b)*log(x)","A",0
547,1,143,0,0.561598," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^3,x, algorithm=""maxima"")","\frac{1}{5} \, B b^{6} x^{5} + \frac{1}{4} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{4} + {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{3} + \frac{5}{2} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{2} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x + 3 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} \log\left(x\right) - \frac{A a^{6} + 2 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{2 \, x^{2}}"," ",0,"1/5*B*b^6*x^5 + 1/4*(6*B*a*b^5 + A*b^6)*x^4 + (5*B*a^2*b^4 + 2*A*a*b^5)*x^3 + 5/2*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^2 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x + 3*(2*B*a^5*b + 5*A*a^4*b^2)*log(x) - 1/2*(A*a^6 + 2*(B*a^6 + 6*A*a^5*b)*x)/x^2","A",0
548,1,145,0,0.517426," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^4,x, algorithm=""maxima"")","\frac{1}{4} \, B b^{6} x^{4} + \frac{1}{3} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{3} + \frac{3}{2} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{2} + 5 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} \log\left(x\right) - \frac{2 \, A a^{6} + 18 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 3 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{6 \, x^{3}}"," ",0,"1/4*B*b^6*x^4 + 1/3*(6*B*a*b^5 + A*b^6)*x^3 + 3/2*(5*B*a^2*b^4 + 2*A*a*b^5)*x^2 + 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*log(x) - 1/6*(2*A*a^6 + 18*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 3*(B*a^6 + 6*A*a^5*b)*x)/x^3","A",0
549,1,145,0,0.547885," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^5,x, algorithm=""maxima"")","\frac{1}{3} \, B b^{6} x^{3} + \frac{1}{2} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{2} + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x + 5 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} \log\left(x\right) - \frac{3 \, A a^{6} + 60 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 18 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 4 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{12 \, x^{4}}"," ",0,"1/3*B*b^6*x^3 + 1/2*(6*B*a*b^5 + A*b^6)*x^2 + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*x + 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*log(x) - 1/12*(3*A*a^6 + 60*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 18*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 4*(B*a^6 + 6*A*a^5*b)*x)/x^4","A",0
550,1,144,0,0.614254," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^6,x, algorithm=""maxima"")","\frac{1}{2} \, B b^{6} x^{2} + {\left(6 \, B a b^{5} + A b^{6}\right)} x + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} \log\left(x\right) - \frac{4 \, A a^{6} + 100 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 50 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 20 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 5 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{20 \, x^{5}}"," ",0,"1/2*B*b^6*x^2 + (6*B*a*b^5 + A*b^6)*x + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*log(x) - 1/20*(4*A*a^6 + 100*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 50*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 20*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 5*(B*a^6 + 6*A*a^5*b)*x)/x^5","A",0
551,1,143,0,0.474324," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^7,x, algorithm=""maxima"")","B b^{6} x + {\left(6 \, B a b^{5} + A b^{6}\right)} \log\left(x\right) - \frac{10 \, A a^{6} + 180 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{5} + 150 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 100 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 45 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 12 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{60 \, x^{6}}"," ",0,"B*b^6*x + (6*B*a*b^5 + A*b^6)*log(x) - 1/60*(10*A*a^6 + 180*(5*B*a^2*b^4 + 2*A*a*b^5)*x^5 + 150*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 100*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 45*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 12*(B*a^6 + 6*A*a^5*b)*x)/x^6","A",0
552,1,146,0,0.647626," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^8,x, algorithm=""maxima"")","B b^{6} \log\left(x\right) - \frac{60 \, A a^{6} + 420 \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{6} + 630 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{5} + 700 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 525 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 252 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 70 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{420 \, x^{7}}"," ",0,"B*b^6*log(x) - 1/420*(60*A*a^6 + 420*(6*B*a*b^5 + A*b^6)*x^6 + 630*(5*B*a^2*b^4 + 2*A*a*b^5)*x^5 + 700*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 525*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 252*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 70*(B*a^6 + 6*A*a^5*b)*x)/x^7","A",0
553,1,147,0,0.544140," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^9,x, algorithm=""maxima"")","-\frac{56 \, B b^{6} x^{7} + 7 \, A a^{6} + 28 \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{6} + 56 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{5} + 70 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 56 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 28 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 8 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{56 \, x^{8}}"," ",0,"-1/56*(56*B*b^6*x^7 + 7*A*a^6 + 28*(6*B*a*b^5 + A*b^6)*x^6 + 56*(5*B*a^2*b^4 + 2*A*a*b^5)*x^5 + 70*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 56*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 28*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 8*(B*a^6 + 6*A*a^5*b)*x)/x^8","B",0
554,1,147,0,0.561447," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^10,x, algorithm=""maxima"")","-\frac{252 \, B b^{6} x^{7} + 56 \, A a^{6} + 168 \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{6} + 378 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{5} + 504 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 420 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 216 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 63 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{504 \, x^{9}}"," ",0,"-1/504*(252*B*b^6*x^7 + 56*A*a^6 + 168*(6*B*a*b^5 + A*b^6)*x^6 + 378*(5*B*a^2*b^4 + 2*A*a*b^5)*x^5 + 504*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 420*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 216*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 63*(B*a^6 + 6*A*a^5*b)*x)/x^9","B",0
555,1,147,0,0.584794," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^11,x, algorithm=""maxima"")","-\frac{840 \, B b^{6} x^{7} + 252 \, A a^{6} + 630 \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{6} + 1512 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{5} + 2100 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 1800 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 945 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 280 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{2520 \, x^{10}}"," ",0,"-1/2520*(840*B*b^6*x^7 + 252*A*a^6 + 630*(6*B*a*b^5 + A*b^6)*x^6 + 1512*(5*B*a^2*b^4 + 2*A*a*b^5)*x^5 + 2100*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 1800*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 945*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 280*(B*a^6 + 6*A*a^5*b)*x)/x^10","A",0
556,1,147,0,0.574020," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^12,x, algorithm=""maxima"")","-\frac{2310 \, B b^{6} x^{7} + 840 \, A a^{6} + 1848 \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{6} + 4620 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{5} + 6600 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 5775 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 3080 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 924 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{9240 \, x^{11}}"," ",0,"-1/9240*(2310*B*b^6*x^7 + 840*A*a^6 + 1848*(6*B*a*b^5 + A*b^6)*x^6 + 4620*(5*B*a^2*b^4 + 2*A*a*b^5)*x^5 + 6600*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 5775*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 3080*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 924*(B*a^6 + 6*A*a^5*b)*x)/x^11","A",0
557,1,147,0,0.576122," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^13,x, algorithm=""maxima"")","-\frac{5544 \, B b^{6} x^{7} + 2310 \, A a^{6} + 4620 \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{6} + 11880 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{5} + 17325 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 15400 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 8316 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 2520 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{27720 \, x^{12}}"," ",0,"-1/27720*(5544*B*b^6*x^7 + 2310*A*a^6 + 4620*(6*B*a*b^5 + A*b^6)*x^6 + 11880*(5*B*a^2*b^4 + 2*A*a*b^5)*x^5 + 17325*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 15400*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 8316*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 2520*(B*a^6 + 6*A*a^5*b)*x)/x^12","A",0
558,1,147,0,0.588916," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^14,x, algorithm=""maxima"")","-\frac{12012 \, B b^{6} x^{7} + 5544 \, A a^{6} + 10296 \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{6} + 27027 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{5} + 40040 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 36036 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 19656 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 6006 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x}{72072 \, x^{13}}"," ",0,"-1/72072*(12012*B*b^6*x^7 + 5544*A*a^6 + 10296*(6*B*a*b^5 + A*b^6)*x^6 + 27027*(5*B*a^2*b^4 + 2*A*a*b^5)*x^5 + 40040*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 36036*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 19656*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 6006*(B*a^6 + 6*A*a^5*b)*x)/x^13","A",0
559,1,129,0,0.478852," ","integrate(x^7*(e*x+d)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{19} \, e x^{19} + \frac{1}{18} \, {\left(d + 10 \, e\right)} x^{18} + \frac{5}{17} \, {\left(2 \, d + 9 \, e\right)} x^{17} + \frac{15}{16} \, {\left(3 \, d + 8 \, e\right)} x^{16} + 2 \, {\left(4 \, d + 7 \, e\right)} x^{15} + 3 \, {\left(5 \, d + 6 \, e\right)} x^{14} + \frac{42}{13} \, {\left(6 \, d + 5 \, e\right)} x^{13} + \frac{5}{2} \, {\left(7 \, d + 4 \, e\right)} x^{12} + \frac{15}{11} \, {\left(8 \, d + 3 \, e\right)} x^{11} + \frac{1}{2} \, {\left(9 \, d + 2 \, e\right)} x^{10} + \frac{1}{9} \, {\left(10 \, d + e\right)} x^{9} + \frac{1}{8} \, d x^{8}"," ",0,"1/19*e*x^19 + 1/18*(d + 10*e)*x^18 + 5/17*(2*d + 9*e)*x^17 + 15/16*(3*d + 8*e)*x^16 + 2*(4*d + 7*e)*x^15 + 3*(5*d + 6*e)*x^14 + 42/13*(6*d + 5*e)*x^13 + 5/2*(7*d + 4*e)*x^12 + 15/11*(8*d + 3*e)*x^11 + 1/2*(9*d + 2*e)*x^10 + 1/9*(10*d + e)*x^9 + 1/8*d*x^8","A",0
560,1,128,0,0.627247," ","integrate(x^6*(e*x+d)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{18} \, e x^{18} + \frac{1}{17} \, {\left(d + 10 \, e\right)} x^{17} + \frac{5}{16} \, {\left(2 \, d + 9 \, e\right)} x^{16} + {\left(3 \, d + 8 \, e\right)} x^{15} + \frac{15}{7} \, {\left(4 \, d + 7 \, e\right)} x^{14} + \frac{42}{13} \, {\left(5 \, d + 6 \, e\right)} x^{13} + \frac{7}{2} \, {\left(6 \, d + 5 \, e\right)} x^{12} + \frac{30}{11} \, {\left(7 \, d + 4 \, e\right)} x^{11} + \frac{3}{2} \, {\left(8 \, d + 3 \, e\right)} x^{10} + \frac{5}{9} \, {\left(9 \, d + 2 \, e\right)} x^{9} + \frac{1}{8} \, {\left(10 \, d + e\right)} x^{8} + \frac{1}{7} \, d x^{7}"," ",0,"1/18*e*x^18 + 1/17*(d + 10*e)*x^17 + 5/16*(2*d + 9*e)*x^16 + (3*d + 8*e)*x^15 + 15/7*(4*d + 7*e)*x^14 + 42/13*(5*d + 6*e)*x^13 + 7/2*(6*d + 5*e)*x^12 + 30/11*(7*d + 4*e)*x^11 + 3/2*(8*d + 3*e)*x^10 + 5/9*(9*d + 2*e)*x^9 + 1/8*(10*d + e)*x^8 + 1/7*d*x^7","A",0
561,1,129,0,0.676337," ","integrate(x^5*(e*x+d)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{17} \, e x^{17} + \frac{1}{16} \, {\left(d + 10 \, e\right)} x^{16} + \frac{1}{3} \, {\left(2 \, d + 9 \, e\right)} x^{15} + \frac{15}{14} \, {\left(3 \, d + 8 \, e\right)} x^{14} + \frac{30}{13} \, {\left(4 \, d + 7 \, e\right)} x^{13} + \frac{7}{2} \, {\left(5 \, d + 6 \, e\right)} x^{12} + \frac{42}{11} \, {\left(6 \, d + 5 \, e\right)} x^{11} + 3 \, {\left(7 \, d + 4 \, e\right)} x^{10} + \frac{5}{3} \, {\left(8 \, d + 3 \, e\right)} x^{9} + \frac{5}{8} \, {\left(9 \, d + 2 \, e\right)} x^{8} + \frac{1}{7} \, {\left(10 \, d + e\right)} x^{7} + \frac{1}{6} \, d x^{6}"," ",0,"1/17*e*x^17 + 1/16*(d + 10*e)*x^16 + 1/3*(2*d + 9*e)*x^15 + 15/14*(3*d + 8*e)*x^14 + 30/13*(4*d + 7*e)*x^13 + 7/2*(5*d + 6*e)*x^12 + 42/11*(6*d + 5*e)*x^11 + 3*(7*d + 4*e)*x^10 + 5/3*(8*d + 3*e)*x^9 + 5/8*(9*d + 2*e)*x^8 + 1/7*(10*d + e)*x^7 + 1/6*d*x^6","A",0
562,1,129,0,0.571996," ","integrate(x^4*(e*x+d)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{16} \, e x^{16} + \frac{1}{15} \, {\left(d + 10 \, e\right)} x^{15} + \frac{5}{14} \, {\left(2 \, d + 9 \, e\right)} x^{14} + \frac{15}{13} \, {\left(3 \, d + 8 \, e\right)} x^{13} + \frac{5}{2} \, {\left(4 \, d + 7 \, e\right)} x^{12} + \frac{42}{11} \, {\left(5 \, d + 6 \, e\right)} x^{11} + \frac{21}{5} \, {\left(6 \, d + 5 \, e\right)} x^{10} + \frac{10}{3} \, {\left(7 \, d + 4 \, e\right)} x^{9} + \frac{15}{8} \, {\left(8 \, d + 3 \, e\right)} x^{8} + \frac{5}{7} \, {\left(9 \, d + 2 \, e\right)} x^{7} + \frac{1}{6} \, {\left(10 \, d + e\right)} x^{6} + \frac{1}{5} \, d x^{5}"," ",0,"1/16*e*x^16 + 1/15*(d + 10*e)*x^15 + 5/14*(2*d + 9*e)*x^14 + 15/13*(3*d + 8*e)*x^13 + 5/2*(4*d + 7*e)*x^12 + 42/11*(5*d + 6*e)*x^11 + 21/5*(6*d + 5*e)*x^10 + 10/3*(7*d + 4*e)*x^9 + 15/8*(8*d + 3*e)*x^8 + 5/7*(9*d + 2*e)*x^7 + 1/6*(10*d + e)*x^6 + 1/5*d*x^5","A",0
563,1,129,0,0.539821," ","integrate(x^3*(e*x+d)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{15} \, e x^{15} + \frac{1}{14} \, {\left(d + 10 \, e\right)} x^{14} + \frac{5}{13} \, {\left(2 \, d + 9 \, e\right)} x^{13} + \frac{5}{4} \, {\left(3 \, d + 8 \, e\right)} x^{12} + \frac{30}{11} \, {\left(4 \, d + 7 \, e\right)} x^{11} + \frac{21}{5} \, {\left(5 \, d + 6 \, e\right)} x^{10} + \frac{14}{3} \, {\left(6 \, d + 5 \, e\right)} x^{9} + \frac{15}{4} \, {\left(7 \, d + 4 \, e\right)} x^{8} + \frac{15}{7} \, {\left(8 \, d + 3 \, e\right)} x^{7} + \frac{5}{6} \, {\left(9 \, d + 2 \, e\right)} x^{6} + \frac{1}{5} \, {\left(10 \, d + e\right)} x^{5} + \frac{1}{4} \, d x^{4}"," ",0,"1/15*e*x^15 + 1/14*(d + 10*e)*x^14 + 5/13*(2*d + 9*e)*x^13 + 5/4*(3*d + 8*e)*x^12 + 30/11*(4*d + 7*e)*x^11 + 21/5*(5*d + 6*e)*x^10 + 14/3*(6*d + 5*e)*x^9 + 15/4*(7*d + 4*e)*x^8 + 15/7*(8*d + 3*e)*x^7 + 5/6*(9*d + 2*e)*x^6 + 1/5*(10*d + e)*x^5 + 1/4*d*x^4","B",0
564,1,128,0,0.577785," ","integrate(x^2*(e*x+d)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{14} \, e x^{14} + \frac{1}{13} \, {\left(d + 10 \, e\right)} x^{13} + \frac{5}{12} \, {\left(2 \, d + 9 \, e\right)} x^{12} + \frac{15}{11} \, {\left(3 \, d + 8 \, e\right)} x^{11} + 3 \, {\left(4 \, d + 7 \, e\right)} x^{10} + \frac{14}{3} \, {\left(5 \, d + 6 \, e\right)} x^{9} + \frac{21}{4} \, {\left(6 \, d + 5 \, e\right)} x^{8} + \frac{30}{7} \, {\left(7 \, d + 4 \, e\right)} x^{7} + \frac{5}{2} \, {\left(8 \, d + 3 \, e\right)} x^{6} + {\left(9 \, d + 2 \, e\right)} x^{5} + \frac{1}{4} \, {\left(10 \, d + e\right)} x^{4} + \frac{1}{3} \, d x^{3}"," ",0,"1/14*e*x^14 + 1/13*(d + 10*e)*x^13 + 5/12*(2*d + 9*e)*x^12 + 15/11*(3*d + 8*e)*x^11 + 3*(4*d + 7*e)*x^10 + 14/3*(5*d + 6*e)*x^9 + 21/4*(6*d + 5*e)*x^8 + 30/7*(7*d + 4*e)*x^7 + 5/2*(8*d + 3*e)*x^6 + (9*d + 2*e)*x^5 + 1/4*(10*d + e)*x^4 + 1/3*d*x^3","B",0
565,1,129,0,0.560267," ","integrate(x*(e*x+d)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{13} \, e x^{13} + \frac{1}{12} \, {\left(d + 10 \, e\right)} x^{12} + \frac{5}{11} \, {\left(2 \, d + 9 \, e\right)} x^{11} + \frac{3}{2} \, {\left(3 \, d + 8 \, e\right)} x^{10} + \frac{10}{3} \, {\left(4 \, d + 7 \, e\right)} x^{9} + \frac{21}{4} \, {\left(5 \, d + 6 \, e\right)} x^{8} + 6 \, {\left(6 \, d + 5 \, e\right)} x^{7} + 5 \, {\left(7 \, d + 4 \, e\right)} x^{6} + 3 \, {\left(8 \, d + 3 \, e\right)} x^{5} + \frac{5}{4} \, {\left(9 \, d + 2 \, e\right)} x^{4} + \frac{1}{3} \, {\left(10 \, d + e\right)} x^{3} + \frac{1}{2} \, d x^{2}"," ",0,"1/13*e*x^13 + 1/12*(d + 10*e)*x^12 + 5/11*(2*d + 9*e)*x^11 + 3/2*(3*d + 8*e)*x^10 + 10/3*(4*d + 7*e)*x^9 + 21/4*(5*d + 6*e)*x^8 + 6*(6*d + 5*e)*x^7 + 5*(7*d + 4*e)*x^6 + 3*(8*d + 3*e)*x^5 + 5/4*(9*d + 2*e)*x^4 + 1/3*(10*d + e)*x^3 + 1/2*d*x^2","B",0
566,1,126,0,0.507142," ","integrate((e*x+d)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{12} \, e x^{12} + \frac{1}{11} \, {\left(d + 10 \, e\right)} x^{11} + \frac{1}{2} \, {\left(2 \, d + 9 \, e\right)} x^{10} + \frac{5}{3} \, {\left(3 \, d + 8 \, e\right)} x^{9} + \frac{15}{4} \, {\left(4 \, d + 7 \, e\right)} x^{8} + 6 \, {\left(5 \, d + 6 \, e\right)} x^{7} + 7 \, {\left(6 \, d + 5 \, e\right)} x^{6} + 6 \, {\left(7 \, d + 4 \, e\right)} x^{5} + \frac{15}{4} \, {\left(8 \, d + 3 \, e\right)} x^{4} + \frac{5}{3} \, {\left(9 \, d + 2 \, e\right)} x^{3} + \frac{1}{2} \, {\left(10 \, d + e\right)} x^{2} + d x"," ",0,"1/12*e*x^12 + 1/11*(d + 10*e)*x^11 + 1/2*(2*d + 9*e)*x^10 + 5/3*(3*d + 8*e)*x^9 + 15/4*(4*d + 7*e)*x^8 + 6*(5*d + 6*e)*x^7 + 7*(6*d + 5*e)*x^6 + 6*(7*d + 4*e)*x^5 + 15/4*(8*d + 3*e)*x^4 + 5/3*(9*d + 2*e)*x^3 + 1/2*(10*d + e)*x^2 + d*x","B",0
567,1,124,0,0.633089," ","integrate((e*x+d)*(x^2+2*x+1)^5/x,x, algorithm=""maxima"")","\frac{1}{11} \, e x^{11} + \frac{1}{10} \, {\left(d + 10 \, e\right)} x^{10} + \frac{5}{9} \, {\left(2 \, d + 9 \, e\right)} x^{9} + \frac{15}{8} \, {\left(3 \, d + 8 \, e\right)} x^{8} + \frac{30}{7} \, {\left(4 \, d + 7 \, e\right)} x^{7} + 7 \, {\left(5 \, d + 6 \, e\right)} x^{6} + \frac{42}{5} \, {\left(6 \, d + 5 \, e\right)} x^{5} + \frac{15}{2} \, {\left(7 \, d + 4 \, e\right)} x^{4} + 5 \, {\left(8 \, d + 3 \, e\right)} x^{3} + \frac{5}{2} \, {\left(9 \, d + 2 \, e\right)} x^{2} + {\left(10 \, d + e\right)} x + d \log\left(x\right)"," ",0,"1/11*e*x^11 + 1/10*(d + 10*e)*x^10 + 5/9*(2*d + 9*e)*x^9 + 15/8*(3*d + 8*e)*x^8 + 30/7*(4*d + 7*e)*x^7 + 7*(5*d + 6*e)*x^6 + 42/5*(6*d + 5*e)*x^5 + 15/2*(7*d + 4*e)*x^4 + 5*(8*d + 3*e)*x^3 + 5/2*(9*d + 2*e)*x^2 + (10*d + e)*x + d*log(x)","A",0
568,1,125,0,0.664679," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^2,x, algorithm=""maxima"")","\frac{1}{10} \, e x^{10} + \frac{1}{9} \, {\left(d + 10 \, e\right)} x^{9} + \frac{5}{8} \, {\left(2 \, d + 9 \, e\right)} x^{8} + \frac{15}{7} \, {\left(3 \, d + 8 \, e\right)} x^{7} + 5 \, {\left(4 \, d + 7 \, e\right)} x^{6} + \frac{42}{5} \, {\left(5 \, d + 6 \, e\right)} x^{5} + \frac{21}{2} \, {\left(6 \, d + 5 \, e\right)} x^{4} + 10 \, {\left(7 \, d + 4 \, e\right)} x^{3} + \frac{15}{2} \, {\left(8 \, d + 3 \, e\right)} x^{2} + 5 \, {\left(9 \, d + 2 \, e\right)} x + {\left(10 \, d + e\right)} \log\left(x\right) - \frac{d}{x}"," ",0,"1/10*e*x^10 + 1/9*(d + 10*e)*x^9 + 5/8*(2*d + 9*e)*x^8 + 15/7*(3*d + 8*e)*x^7 + 5*(4*d + 7*e)*x^6 + 42/5*(5*d + 6*e)*x^5 + 21/2*(6*d + 5*e)*x^4 + 10*(7*d + 4*e)*x^3 + 15/2*(8*d + 3*e)*x^2 + 5*(9*d + 2*e)*x + (10*d + e)*log(x) - d/x","A",0
569,1,125,0,0.507779," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^3,x, algorithm=""maxima"")","\frac{1}{9} \, e x^{9} + \frac{1}{8} \, {\left(d + 10 \, e\right)} x^{8} + \frac{5}{7} \, {\left(2 \, d + 9 \, e\right)} x^{7} + \frac{5}{2} \, {\left(3 \, d + 8 \, e\right)} x^{6} + 6 \, {\left(4 \, d + 7 \, e\right)} x^{5} + \frac{21}{2} \, {\left(5 \, d + 6 \, e\right)} x^{4} + 14 \, {\left(6 \, d + 5 \, e\right)} x^{3} + 15 \, {\left(7 \, d + 4 \, e\right)} x^{2} + 15 \, {\left(8 \, d + 3 \, e\right)} x + 5 \, {\left(9 \, d + 2 \, e\right)} \log\left(x\right) - \frac{2 \, {\left(10 \, d + e\right)} x + d}{2 \, x^{2}}"," ",0,"1/9*e*x^9 + 1/8*(d + 10*e)*x^8 + 5/7*(2*d + 9*e)*x^7 + 5/2*(3*d + 8*e)*x^6 + 6*(4*d + 7*e)*x^5 + 21/2*(5*d + 6*e)*x^4 + 14*(6*d + 5*e)*x^3 + 15*(7*d + 4*e)*x^2 + 15*(8*d + 3*e)*x + 5*(9*d + 2*e)*log(x) - 1/2*(2*(10*d + e)*x + d)/x^2","A",0
570,1,127,0,0.509342," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^4,x, algorithm=""maxima"")","\frac{1}{8} \, e x^{8} + \frac{1}{7} \, {\left(d + 10 \, e\right)} x^{7} + \frac{5}{6} \, {\left(2 \, d + 9 \, e\right)} x^{6} + 3 \, {\left(3 \, d + 8 \, e\right)} x^{5} + \frac{15}{2} \, {\left(4 \, d + 7 \, e\right)} x^{4} + 14 \, {\left(5 \, d + 6 \, e\right)} x^{3} + 21 \, {\left(6 \, d + 5 \, e\right)} x^{2} + 30 \, {\left(7 \, d + 4 \, e\right)} x + 15 \, {\left(8 \, d + 3 \, e\right)} \log\left(x\right) - \frac{30 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 3 \, {\left(10 \, d + e\right)} x + 2 \, d}{6 \, x^{3}}"," ",0,"1/8*e*x^8 + 1/7*(d + 10*e)*x^7 + 5/6*(2*d + 9*e)*x^6 + 3*(3*d + 8*e)*x^5 + 15/2*(4*d + 7*e)*x^4 + 14*(5*d + 6*e)*x^3 + 21*(6*d + 5*e)*x^2 + 30*(7*d + 4*e)*x + 15*(8*d + 3*e)*log(x) - 1/6*(30*(9*d + 2*e)*x^2 + 3*(10*d + e)*x + 2*d)/x^3","A",0
571,1,126,0,0.638772," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^5,x, algorithm=""maxima"")","\frac{1}{7} \, e x^{7} + \frac{1}{6} \, {\left(d + 10 \, e\right)} x^{6} + {\left(2 \, d + 9 \, e\right)} x^{5} + \frac{15}{4} \, {\left(3 \, d + 8 \, e\right)} x^{4} + 10 \, {\left(4 \, d + 7 \, e\right)} x^{3} + 21 \, {\left(5 \, d + 6 \, e\right)} x^{2} + 42 \, {\left(6 \, d + 5 \, e\right)} x + 30 \, {\left(7 \, d + 4 \, e\right)} \log\left(x\right) - \frac{180 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 30 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 4 \, {\left(10 \, d + e\right)} x + 3 \, d}{12 \, x^{4}}"," ",0,"1/7*e*x^7 + 1/6*(d + 10*e)*x^6 + (2*d + 9*e)*x^5 + 15/4*(3*d + 8*e)*x^4 + 10*(4*d + 7*e)*x^3 + 21*(5*d + 6*e)*x^2 + 42*(6*d + 5*e)*x + 30*(7*d + 4*e)*log(x) - 1/12*(180*(8*d + 3*e)*x^3 + 30*(9*d + 2*e)*x^2 + 4*(10*d + e)*x + 3*d)/x^4","A",0
572,1,127,0,0.542582," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^6,x, algorithm=""maxima"")","\frac{1}{6} \, e x^{6} + \frac{1}{5} \, {\left(d + 10 \, e\right)} x^{5} + \frac{5}{4} \, {\left(2 \, d + 9 \, e\right)} x^{4} + 5 \, {\left(3 \, d + 8 \, e\right)} x^{3} + 15 \, {\left(4 \, d + 7 \, e\right)} x^{2} + 42 \, {\left(5 \, d + 6 \, e\right)} x + 42 \, {\left(6 \, d + 5 \, e\right)} \log\left(x\right) - \frac{1800 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 450 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 100 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 15 \, {\left(10 \, d + e\right)} x + 12 \, d}{60 \, x^{5}}"," ",0,"1/6*e*x^6 + 1/5*(d + 10*e)*x^5 + 5/4*(2*d + 9*e)*x^4 + 5*(3*d + 8*e)*x^3 + 15*(4*d + 7*e)*x^2 + 42*(5*d + 6*e)*x + 42*(6*d + 5*e)*log(x) - 1/60*(1800*(7*d + 4*e)*x^4 + 450*(8*d + 3*e)*x^3 + 100*(9*d + 2*e)*x^2 + 15*(10*d + e)*x + 12*d)/x^5","A",0
573,1,127,0,0.538848," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^7,x, algorithm=""maxima"")","\frac{1}{5} \, e x^{5} + \frac{1}{4} \, {\left(d + 10 \, e\right)} x^{4} + \frac{5}{3} \, {\left(2 \, d + 9 \, e\right)} x^{3} + \frac{15}{2} \, {\left(3 \, d + 8 \, e\right)} x^{2} + 30 \, {\left(4 \, d + 7 \, e\right)} x + 42 \, {\left(5 \, d + 6 \, e\right)} \log\left(x\right) - \frac{2520 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 900 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 300 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 75 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 12 \, {\left(10 \, d + e\right)} x + 10 \, d}{60 \, x^{6}}"," ",0,"1/5*e*x^5 + 1/4*(d + 10*e)*x^4 + 5/3*(2*d + 9*e)*x^3 + 15/2*(3*d + 8*e)*x^2 + 30*(4*d + 7*e)*x + 42*(5*d + 6*e)*log(x) - 1/60*(2520*(6*d + 5*e)*x^5 + 900*(7*d + 4*e)*x^4 + 300*(8*d + 3*e)*x^3 + 75*(9*d + 2*e)*x^2 + 12*(10*d + e)*x + 10*d)/x^6","A",0
574,1,127,0,0.592297," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^8,x, algorithm=""maxima"")","\frac{1}{4} \, e x^{4} + \frac{1}{3} \, {\left(d + 10 \, e\right)} x^{3} + \frac{5}{2} \, {\left(2 \, d + 9 \, e\right)} x^{2} + 15 \, {\left(3 \, d + 8 \, e\right)} x + 30 \, {\left(4 \, d + 7 \, e\right)} \log\left(x\right) - \frac{3528 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 1764 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 840 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 315 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 84 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 14 \, {\left(10 \, d + e\right)} x + 12 \, d}{84 \, x^{7}}"," ",0,"1/4*e*x^4 + 1/3*(d + 10*e)*x^3 + 5/2*(2*d + 9*e)*x^2 + 15*(3*d + 8*e)*x + 30*(4*d + 7*e)*log(x) - 1/84*(3528*(5*d + 6*e)*x^6 + 1764*(6*d + 5*e)*x^5 + 840*(7*d + 4*e)*x^4 + 315*(8*d + 3*e)*x^3 + 84*(9*d + 2*e)*x^2 + 14*(10*d + e)*x + 12*d)/x^7","A",0
575,1,127,0,0.469012," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^9,x, algorithm=""maxima"")","\frac{1}{3} \, e x^{3} + \frac{1}{2} \, {\left(d + 10 \, e\right)} x^{2} + 5 \, {\left(2 \, d + 9 \, e\right)} x + 15 \, {\left(3 \, d + 8 \, e\right)} \log\left(x\right) - \frac{5040 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 3528 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 2352 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 1260 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 504 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 140 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 24 \, {\left(10 \, d + e\right)} x + 21 \, d}{168 \, x^{8}}"," ",0,"1/3*e*x^3 + 1/2*(d + 10*e)*x^2 + 5*(2*d + 9*e)*x + 15*(3*d + 8*e)*log(x) - 1/168*(5040*(4*d + 7*e)*x^7 + 3528*(5*d + 6*e)*x^6 + 2352*(6*d + 5*e)*x^5 + 1260*(7*d + 4*e)*x^4 + 504*(8*d + 3*e)*x^3 + 140*(9*d + 2*e)*x^2 + 24*(10*d + e)*x + 21*d)/x^8","A",0
576,1,126,0,0.511310," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^10,x, algorithm=""maxima"")","\frac{1}{2} \, e x^{2} + {\left(d + 10 \, e\right)} x + 5 \, {\left(2 \, d + 9 \, e\right)} \log\left(x\right) - \frac{7560 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 7560 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 7056 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 5292 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 3024 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 1260 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 360 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 63 \, {\left(10 \, d + e\right)} x + 56 \, d}{504 \, x^{9}}"," ",0,"1/2*e*x^2 + (d + 10*e)*x + 5*(2*d + 9*e)*log(x) - 1/504*(7560*(3*d + 8*e)*x^8 + 7560*(4*d + 7*e)*x^7 + 7056*(5*d + 6*e)*x^6 + 5292*(6*d + 5*e)*x^5 + 3024*(7*d + 4*e)*x^4 + 1260*(8*d + 3*e)*x^3 + 360*(9*d + 2*e)*x^2 + 63*(10*d + e)*x + 56*d)/x^9","A",0
577,1,125,0,0.498037," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^11,x, algorithm=""maxima"")","e x + {\left(d + 10 \, e\right)} \log\left(x\right) - \frac{12600 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 18900 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 25200 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 26460 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 21168 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 12600 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 5400 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 1575 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 280 \, {\left(10 \, d + e\right)} x + 252 \, d}{2520 \, x^{10}}"," ",0,"e*x + (d + 10*e)*log(x) - 1/2520*(12600*(2*d + 9*e)*x^9 + 18900*(3*d + 8*e)*x^8 + 25200*(4*d + 7*e)*x^7 + 26460*(5*d + 6*e)*x^6 + 21168*(6*d + 5*e)*x^5 + 12600*(7*d + 4*e)*x^4 + 5400*(8*d + 3*e)*x^3 + 1575*(9*d + 2*e)*x^2 + 280*(10*d + e)*x + 252*d)/x^10","A",0
578,1,128,0,0.576745," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^12,x, algorithm=""maxima"")","e \log\left(x\right) - \frac{27720 \, {\left(d + 10 \, e\right)} x^{10} + 69300 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 138600 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 207900 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 232848 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 194040 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 118800 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 51975 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 15400 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 2772 \, {\left(10 \, d + e\right)} x + 2520 \, d}{27720 \, x^{11}}"," ",0,"e*log(x) - 1/27720*(27720*(d + 10*e)*x^10 + 69300*(2*d + 9*e)*x^9 + 138600*(3*d + 8*e)*x^8 + 207900*(4*d + 7*e)*x^7 + 232848*(5*d + 6*e)*x^6 + 194040*(6*d + 5*e)*x^5 + 118800*(7*d + 4*e)*x^4 + 51975*(8*d + 3*e)*x^3 + 15400*(9*d + 2*e)*x^2 + 2772*(10*d + e)*x + 2520*d)/x^11","A",0
579,1,129,0,0.559064," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^13,x, algorithm=""maxima"")","-\frac{132 \, e x^{11} + 66 \, {\left(d + 10 \, e\right)} x^{10} + 220 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 495 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 792 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 924 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 792 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 495 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 220 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 66 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 12 \, {\left(10 \, d + e\right)} x + 11 \, d}{132 \, x^{12}}"," ",0,"-1/132*(132*e*x^11 + 66*(d + 10*e)*x^10 + 220*(2*d + 9*e)*x^9 + 495*(3*d + 8*e)*x^8 + 792*(4*d + 7*e)*x^7 + 924*(5*d + 6*e)*x^6 + 792*(6*d + 5*e)*x^5 + 495*(7*d + 4*e)*x^4 + 220*(8*d + 3*e)*x^3 + 66*(9*d + 2*e)*x^2 + 12*(10*d + e)*x + 11*d)/x^12","B",0
580,1,129,0,0.553501," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^14,x, algorithm=""maxima"")","-\frac{858 \, e x^{11} + 572 \, {\left(d + 10 \, e\right)} x^{10} + 2145 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 5148 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 8580 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 10296 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 9009 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 5720 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 2574 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 780 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 143 \, {\left(10 \, d + e\right)} x + 132 \, d}{1716 \, x^{13}}"," ",0,"-1/1716*(858*e*x^11 + 572*(d + 10*e)*x^10 + 2145*(2*d + 9*e)*x^9 + 5148*(3*d + 8*e)*x^8 + 8580*(4*d + 7*e)*x^7 + 10296*(5*d + 6*e)*x^6 + 9009*(6*d + 5*e)*x^5 + 5720*(7*d + 4*e)*x^4 + 2574*(8*d + 3*e)*x^3 + 780*(9*d + 2*e)*x^2 + 143*(10*d + e)*x + 132*d)/x^13","B",0
581,1,129,0,0.724469," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^15,x, algorithm=""maxima"")","-\frac{4004 \, e x^{11} + 3003 \, {\left(d + 10 \, e\right)} x^{10} + 12012 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 30030 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 51480 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 63063 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 56056 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 36036 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 16380 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 5005 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 924 \, {\left(10 \, d + e\right)} x + 858 \, d}{12012 \, x^{14}}"," ",0,"-1/12012*(4004*e*x^11 + 3003*(d + 10*e)*x^10 + 12012*(2*d + 9*e)*x^9 + 30030*(3*d + 8*e)*x^8 + 51480*(4*d + 7*e)*x^7 + 63063*(5*d + 6*e)*x^6 + 56056*(6*d + 5*e)*x^5 + 36036*(7*d + 4*e)*x^4 + 16380*(8*d + 3*e)*x^3 + 5005*(9*d + 2*e)*x^2 + 924*(10*d + e)*x + 858*d)/x^14","B",0
582,1,129,0,0.705314," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^16,x, algorithm=""maxima"")","-\frac{15015 \, e x^{11} + 12012 \, {\left(d + 10 \, e\right)} x^{10} + 50050 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 128700 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 225225 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 280280 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 252252 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 163800 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 75075 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 23100 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 4290 \, {\left(10 \, d + e\right)} x + 4004 \, d}{60060 \, x^{15}}"," ",0,"-1/60060*(15015*e*x^11 + 12012*(d + 10*e)*x^10 + 50050*(2*d + 9*e)*x^9 + 128700*(3*d + 8*e)*x^8 + 225225*(4*d + 7*e)*x^7 + 280280*(5*d + 6*e)*x^6 + 252252*(6*d + 5*e)*x^5 + 163800*(7*d + 4*e)*x^4 + 75075*(8*d + 3*e)*x^3 + 23100*(9*d + 2*e)*x^2 + 4290*(10*d + e)*x + 4004*d)/x^15","A",0
583,1,129,0,0.712404," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^17,x, algorithm=""maxima"")","-\frac{48048 \, e x^{11} + 40040 \, {\left(d + 10 \, e\right)} x^{10} + 171600 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 450450 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 800800 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 1009008 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 917280 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 600600 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 277200 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 85800 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 16016 \, {\left(10 \, d + e\right)} x + 15015 \, d}{240240 \, x^{16}}"," ",0,"-1/240240*(48048*e*x^11 + 40040*(d + 10*e)*x^10 + 171600*(2*d + 9*e)*x^9 + 450450*(3*d + 8*e)*x^8 + 800800*(4*d + 7*e)*x^7 + 1009008*(5*d + 6*e)*x^6 + 917280*(6*d + 5*e)*x^5 + 600600*(7*d + 4*e)*x^4 + 277200*(8*d + 3*e)*x^3 + 85800*(9*d + 2*e)*x^2 + 16016*(10*d + e)*x + 15015*d)/x^16","A",0
584,1,129,0,0.510216," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^18,x, algorithm=""maxima"")","-\frac{136136 \, e x^{11} + 116688 \, {\left(d + 10 \, e\right)} x^{10} + 510510 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 1361360 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 2450448 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 3118752 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 2858856 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 1884960 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 875160 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 272272 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 51051 \, {\left(10 \, d + e\right)} x + 48048 \, d}{816816 \, x^{17}}"," ",0,"-1/816816*(136136*e*x^11 + 116688*(d + 10*e)*x^10 + 510510*(2*d + 9*e)*x^9 + 1361360*(3*d + 8*e)*x^8 + 2450448*(4*d + 7*e)*x^7 + 3118752*(5*d + 6*e)*x^6 + 2858856*(6*d + 5*e)*x^5 + 1884960*(7*d + 4*e)*x^4 + 875160*(8*d + 3*e)*x^3 + 272272*(9*d + 2*e)*x^2 + 51051*(10*d + e)*x + 48048*d)/x^17","A",0
585,1,129,0,0.567369," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^19,x, algorithm=""maxima"")","-\frac{350064 \, e x^{11} + 306306 \, {\left(d + 10 \, e\right)} x^{10} + 1361360 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 3675672 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 6683040 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 8576568 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 7916832 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 5250960 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 2450448 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 765765 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 144144 \, {\left(10 \, d + e\right)} x + 136136 \, d}{2450448 \, x^{18}}"," ",0,"-1/2450448*(350064*e*x^11 + 306306*(d + 10*e)*x^10 + 1361360*(2*d + 9*e)*x^9 + 3675672*(3*d + 8*e)*x^8 + 6683040*(4*d + 7*e)*x^7 + 8576568*(5*d + 6*e)*x^6 + 7916832*(6*d + 5*e)*x^5 + 5250960*(7*d + 4*e)*x^4 + 2450448*(8*d + 3*e)*x^3 + 765765*(9*d + 2*e)*x^2 + 144144*(10*d + e)*x + 136136*d)/x^18","A",0
586,1,129,0,0.589084," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^20,x, algorithm=""maxima"")","-\frac{831402 \, e x^{11} + 739024 \, {\left(d + 10 \, e\right)} x^{10} + 3325608 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 9069840 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 16628040 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 21488544 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 19953648 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 13302432 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 6235515 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 1956240 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 369512 \, {\left(10 \, d + e\right)} x + 350064 \, d}{6651216 \, x^{19}}"," ",0,"-1/6651216*(831402*e*x^11 + 739024*(d + 10*e)*x^10 + 3325608*(2*d + 9*e)*x^9 + 9069840*(3*d + 8*e)*x^8 + 16628040*(4*d + 7*e)*x^7 + 21488544*(5*d + 6*e)*x^6 + 19953648*(6*d + 5*e)*x^5 + 13302432*(7*d + 4*e)*x^4 + 6235515*(8*d + 3*e)*x^3 + 1956240*(9*d + 2*e)*x^2 + 369512*(10*d + e)*x + 350064*d)/x^19","A",0
587,1,129,0,0.598494," ","integrate((e*x+d)*(x^2+2*x+1)^5/x^21,x, algorithm=""maxima"")","-\frac{1847560 \, e x^{11} + 1662804 \, {\left(d + 10 \, e\right)} x^{10} + 7558200 \, {\left(2 \, d + 9 \, e\right)} x^{9} + 20785050 \, {\left(3 \, d + 8 \, e\right)} x^{8} + 38372400 \, {\left(4 \, d + 7 \, e\right)} x^{7} + 49884120 \, {\left(5 \, d + 6 \, e\right)} x^{6} + 46558512 \, {\left(6 \, d + 5 \, e\right)} x^{5} + 31177575 \, {\left(7 \, d + 4 \, e\right)} x^{4} + 14671800 \, {\left(8 \, d + 3 \, e\right)} x^{3} + 4618900 \, {\left(9 \, d + 2 \, e\right)} x^{2} + 875160 \, {\left(10 \, d + e\right)} x + 831402 \, d}{16628040 \, x^{20}}"," ",0,"-1/16628040*(1847560*e*x^11 + 1662804*(d + 10*e)*x^10 + 7558200*(2*d + 9*e)*x^9 + 20785050*(3*d + 8*e)*x^8 + 38372400*(4*d + 7*e)*x^7 + 49884120*(5*d + 6*e)*x^6 + 46558512*(6*d + 5*e)*x^5 + 31177575*(7*d + 4*e)*x^4 + 14671800*(8*d + 3*e)*x^3 + 4618900*(9*d + 2*e)*x^2 + 875160*(10*d + e)*x + 831402*d)/x^20","A",0
588,1,61,0,0.534082," ","integrate(x^11*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{23} \, x^{23} + \frac{1}{2} \, x^{22} + \frac{55}{21} \, x^{21} + \frac{33}{4} \, x^{20} + \frac{330}{19} \, x^{19} + \frac{77}{3} \, x^{18} + \frac{462}{17} \, x^{17} + \frac{165}{8} \, x^{16} + 11 \, x^{15} + \frac{55}{14} \, x^{14} + \frac{11}{13} \, x^{13} + \frac{1}{12} \, x^{12}"," ",0,"1/23*x^23 + 1/2*x^22 + 55/21*x^21 + 33/4*x^20 + 330/19*x^19 + 77/3*x^18 + 462/17*x^17 + 165/8*x^16 + 11*x^15 + 55/14*x^14 + 11/13*x^13 + 1/12*x^12","A",0
589,1,61,0,0.599545," ","integrate(x^10*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{22} \, x^{22} + \frac{11}{21} \, x^{21} + \frac{11}{4} \, x^{20} + \frac{165}{19} \, x^{19} + \frac{55}{3} \, x^{18} + \frac{462}{17} \, x^{17} + \frac{231}{8} \, x^{16} + 22 \, x^{15} + \frac{165}{14} \, x^{14} + \frac{55}{13} \, x^{13} + \frac{11}{12} \, x^{12} + \frac{1}{11} \, x^{11}"," ",0,"1/22*x^22 + 11/21*x^21 + 11/4*x^20 + 165/19*x^19 + 55/3*x^18 + 462/17*x^17 + 231/8*x^16 + 22*x^15 + 165/14*x^14 + 55/13*x^13 + 11/12*x^12 + 1/11*x^11","A",0
590,1,59,0,0.585597," ","integrate(x^9*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{21} \, x^{21} + \frac{11}{20} \, x^{20} + \frac{55}{19} \, x^{19} + \frac{55}{6} \, x^{18} + \frac{330}{17} \, x^{17} + \frac{231}{8} \, x^{16} + \frac{154}{5} \, x^{15} + \frac{165}{7} \, x^{14} + \frac{165}{13} \, x^{13} + \frac{55}{12} \, x^{12} + x^{11} + \frac{1}{10} \, x^{10}"," ",0,"1/21*x^21 + 11/20*x^20 + 55/19*x^19 + 55/6*x^18 + 330/17*x^17 + 231/8*x^16 + 154/5*x^15 + 165/7*x^14 + 165/13*x^13 + 55/12*x^12 + x^11 + 1/10*x^10","A",0
591,1,61,0,0.627027," ","integrate(x^8*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{20} \, x^{20} + \frac{11}{19} \, x^{19} + \frac{55}{18} \, x^{18} + \frac{165}{17} \, x^{17} + \frac{165}{8} \, x^{16} + \frac{154}{5} \, x^{15} + 33 \, x^{14} + \frac{330}{13} \, x^{13} + \frac{55}{4} \, x^{12} + 5 \, x^{11} + \frac{11}{10} \, x^{10} + \frac{1}{9} \, x^{9}"," ",0,"1/20*x^20 + 11/19*x^19 + 55/18*x^18 + 165/17*x^17 + 165/8*x^16 + 154/5*x^15 + 33*x^14 + 330/13*x^13 + 55/4*x^12 + 5*x^11 + 11/10*x^10 + 1/9*x^9","A",0
592,1,61,0,0.554868," ","integrate(x^7*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{19} \, x^{19} + \frac{11}{18} \, x^{18} + \frac{55}{17} \, x^{17} + \frac{165}{16} \, x^{16} + 22 \, x^{15} + 33 \, x^{14} + \frac{462}{13} \, x^{13} + \frac{55}{2} \, x^{12} + 15 \, x^{11} + \frac{11}{2} \, x^{10} + \frac{11}{9} \, x^{9} + \frac{1}{8} \, x^{8}"," ",0,"1/19*x^19 + 11/18*x^18 + 55/17*x^17 + 165/16*x^16 + 22*x^15 + 33*x^14 + 462/13*x^13 + 55/2*x^12 + 15*x^11 + 11/2*x^10 + 11/9*x^9 + 1/8*x^8","A",0
593,1,61,0,0.659663," ","integrate(x^6*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{18} \, x^{18} + \frac{11}{17} \, x^{17} + \frac{55}{16} \, x^{16} + 11 \, x^{15} + \frac{165}{7} \, x^{14} + \frac{462}{13} \, x^{13} + \frac{77}{2} \, x^{12} + 30 \, x^{11} + \frac{33}{2} \, x^{10} + \frac{55}{9} \, x^{9} + \frac{11}{8} \, x^{8} + \frac{1}{7} \, x^{7}"," ",0,"1/18*x^18 + 11/17*x^17 + 55/16*x^16 + 11*x^15 + 165/7*x^14 + 462/13*x^13 + 77/2*x^12 + 30*x^11 + 33/2*x^10 + 55/9*x^9 + 11/8*x^8 + 1/7*x^7","A",0
594,1,61,0,0.664129," ","integrate(x^5*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{17} \, x^{17} + \frac{11}{16} \, x^{16} + \frac{11}{3} \, x^{15} + \frac{165}{14} \, x^{14} + \frac{330}{13} \, x^{13} + \frac{77}{2} \, x^{12} + 42 \, x^{11} + 33 \, x^{10} + \frac{55}{3} \, x^{9} + \frac{55}{8} \, x^{8} + \frac{11}{7} \, x^{7} + \frac{1}{6} \, x^{6}"," ",0,"1/17*x^17 + 11/16*x^16 + 11/3*x^15 + 165/14*x^14 + 330/13*x^13 + 77/2*x^12 + 42*x^11 + 33*x^10 + 55/3*x^9 + 55/8*x^8 + 11/7*x^7 + 1/6*x^6","A",0
595,1,61,0,0.694113," ","integrate(x^4*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{16} \, x^{16} + \frac{11}{15} \, x^{15} + \frac{55}{14} \, x^{14} + \frac{165}{13} \, x^{13} + \frac{55}{2} \, x^{12} + 42 \, x^{11} + \frac{231}{5} \, x^{10} + \frac{110}{3} \, x^{9} + \frac{165}{8} \, x^{8} + \frac{55}{7} \, x^{7} + \frac{11}{6} \, x^{6} + \frac{1}{5} \, x^{5}"," ",0,"1/16*x^16 + 11/15*x^15 + 55/14*x^14 + 165/13*x^13 + 55/2*x^12 + 42*x^11 + 231/5*x^10 + 110/3*x^9 + 165/8*x^8 + 55/7*x^7 + 11/6*x^6 + 1/5*x^5","A",0
596,1,61,0,0.598181," ","integrate(x^3*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{15} \, x^{15} + \frac{11}{14} \, x^{14} + \frac{55}{13} \, x^{13} + \frac{55}{4} \, x^{12} + 30 \, x^{11} + \frac{231}{5} \, x^{10} + \frac{154}{3} \, x^{9} + \frac{165}{4} \, x^{8} + \frac{165}{7} \, x^{7} + \frac{55}{6} \, x^{6} + \frac{11}{5} \, x^{5} + \frac{1}{4} \, x^{4}"," ",0,"1/15*x^15 + 11/14*x^14 + 55/13*x^13 + 55/4*x^12 + 30*x^11 + 231/5*x^10 + 154/3*x^9 + 165/4*x^8 + 165/7*x^7 + 55/6*x^6 + 11/5*x^5 + 1/4*x^4","B",0
597,1,61,0,0.610222," ","integrate(x^2*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{14} \, x^{14} + \frac{11}{13} \, x^{13} + \frac{55}{12} \, x^{12} + 15 \, x^{11} + 33 \, x^{10} + \frac{154}{3} \, x^{9} + \frac{231}{4} \, x^{8} + \frac{330}{7} \, x^{7} + \frac{55}{2} \, x^{6} + 11 \, x^{5} + \frac{11}{4} \, x^{4} + \frac{1}{3} \, x^{3}"," ",0,"1/14*x^14 + 11/13*x^13 + 55/12*x^12 + 15*x^11 + 33*x^10 + 154/3*x^9 + 231/4*x^8 + 330/7*x^7 + 55/2*x^6 + 11*x^5 + 11/4*x^4 + 1/3*x^3","B",0
598,1,61,0,0.580412," ","integrate(x*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{13} \, x^{13} + \frac{11}{12} \, x^{12} + 5 \, x^{11} + \frac{33}{2} \, x^{10} + \frac{110}{3} \, x^{9} + \frac{231}{4} \, x^{8} + 66 \, x^{7} + 55 \, x^{6} + 33 \, x^{5} + \frac{55}{4} \, x^{4} + \frac{11}{3} \, x^{3} + \frac{1}{2} \, x^{2}"," ",0,"1/13*x^13 + 11/12*x^12 + 5*x^11 + 33/2*x^10 + 110/3*x^9 + 231/4*x^8 + 66*x^7 + 55*x^6 + 33*x^5 + 55/4*x^4 + 11/3*x^3 + 1/2*x^2","B",0
599,1,12,0,0.666109," ","integrate((1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{1}{12} \, {\left(x^{2} + 2 \, x + 1\right)}^{6}"," ",0,"1/12*(x^2 + 2*x + 1)^6","A",0
600,1,56,0,0.633680," ","integrate((1+x)*(x^2+2*x+1)^5/x,x, algorithm=""maxima"")","\frac{1}{11} \, x^{11} + \frac{11}{10} \, x^{10} + \frac{55}{9} \, x^{9} + \frac{165}{8} \, x^{8} + \frac{330}{7} \, x^{7} + 77 \, x^{6} + \frac{462}{5} \, x^{5} + \frac{165}{2} \, x^{4} + 55 \, x^{3} + \frac{55}{2} \, x^{2} + 11 \, x + \log\left(x\right)"," ",0,"1/11*x^11 + 11/10*x^10 + 55/9*x^9 + 165/8*x^8 + 330/7*x^7 + 77*x^6 + 462/5*x^5 + 165/2*x^4 + 55*x^3 + 55/2*x^2 + 11*x + log(x)","A",0
601,1,58,0,0.487925," ","integrate((1+x)*(x^2+2*x+1)^5/x^2,x, algorithm=""maxima"")","\frac{1}{10} \, x^{10} + \frac{11}{9} \, x^{9} + \frac{55}{8} \, x^{8} + \frac{165}{7} \, x^{7} + 55 \, x^{6} + \frac{462}{5} \, x^{5} + \frac{231}{2} \, x^{4} + 110 \, x^{3} + \frac{165}{2} \, x^{2} + 55 \, x - \frac{1}{x} + 11 \, \log\left(x\right)"," ",0,"1/10*x^10 + 11/9*x^9 + 55/8*x^8 + 165/7*x^7 + 55*x^6 + 462/5*x^5 + 231/2*x^4 + 110*x^3 + 165/2*x^2 + 55*x - 1/x + 11*log(x)","A",0
602,1,58,0,0.545425," ","integrate((1+x)*(x^2+2*x+1)^5/x^3,x, algorithm=""maxima"")","\frac{1}{9} \, x^{9} + \frac{11}{8} \, x^{8} + \frac{55}{7} \, x^{7} + \frac{55}{2} \, x^{6} + 66 \, x^{5} + \frac{231}{2} \, x^{4} + 154 \, x^{3} + 165 \, x^{2} + 165 \, x - \frac{22 \, x + 1}{2 \, x^{2}} + 55 \, \log\left(x\right)"," ",0,"1/9*x^9 + 11/8*x^8 + 55/7*x^7 + 55/2*x^6 + 66*x^5 + 231/2*x^4 + 154*x^3 + 165*x^2 + 165*x - 1/2*(22*x + 1)/x^2 + 55*log(x)","A",0
603,1,58,0,0.519345," ","integrate((1+x)*(x^2+2*x+1)^5/x^4,x, algorithm=""maxima"")","\frac{1}{8} \, x^{8} + \frac{11}{7} \, x^{7} + \frac{55}{6} \, x^{6} + 33 \, x^{5} + \frac{165}{2} \, x^{4} + 154 \, x^{3} + 231 \, x^{2} + 330 \, x - \frac{330 \, x^{2} + 33 \, x + 2}{6 \, x^{3}} + 165 \, \log\left(x\right)"," ",0,"1/8*x^8 + 11/7*x^7 + 55/6*x^6 + 33*x^5 + 165/2*x^4 + 154*x^3 + 231*x^2 + 330*x - 1/6*(330*x^2 + 33*x + 2)/x^3 + 165*log(x)","A",0
604,1,58,0,0.651935," ","integrate((1+x)*(x^2+2*x+1)^5/x^5,x, algorithm=""maxima"")","\frac{1}{7} \, x^{7} + \frac{11}{6} \, x^{6} + 11 \, x^{5} + \frac{165}{4} \, x^{4} + 110 \, x^{3} + 231 \, x^{2} + 462 \, x - \frac{1980 \, x^{3} + 330 \, x^{2} + 44 \, x + 3}{12 \, x^{4}} + 330 \, \log\left(x\right)"," ",0,"1/7*x^7 + 11/6*x^6 + 11*x^5 + 165/4*x^4 + 110*x^3 + 231*x^2 + 462*x - 1/12*(1980*x^3 + 330*x^2 + 44*x + 3)/x^4 + 330*log(x)","A",0
605,1,58,0,0.614819," ","integrate((1+x)*(x^2+2*x+1)^5/x^6,x, algorithm=""maxima"")","\frac{1}{6} \, x^{6} + \frac{11}{5} \, x^{5} + \frac{55}{4} \, x^{4} + 55 \, x^{3} + 165 \, x^{2} + 462 \, x - \frac{19800 \, x^{4} + 4950 \, x^{3} + 1100 \, x^{2} + 165 \, x + 12}{60 \, x^{5}} + 462 \, \log\left(x\right)"," ",0,"1/6*x^6 + 11/5*x^5 + 55/4*x^4 + 55*x^3 + 165*x^2 + 462*x - 1/60*(19800*x^4 + 4950*x^3 + 1100*x^2 + 165*x + 12)/x^5 + 462*log(x)","A",0
606,1,58,0,0.664773," ","integrate((1+x)*(x^2+2*x+1)^5/x^7,x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} + \frac{11}{4} \, x^{4} + \frac{55}{3} \, x^{3} + \frac{165}{2} \, x^{2} + 330 \, x - \frac{27720 \, x^{5} + 9900 \, x^{4} + 3300 \, x^{3} + 825 \, x^{2} + 132 \, x + 10}{60 \, x^{6}} + 462 \, \log\left(x\right)"," ",0,"1/5*x^5 + 11/4*x^4 + 55/3*x^3 + 165/2*x^2 + 330*x - 1/60*(27720*x^5 + 9900*x^4 + 3300*x^3 + 825*x^2 + 132*x + 10)/x^6 + 462*log(x)","A",0
607,1,58,0,0.484202," ","integrate((1+x)*(x^2+2*x+1)^5/x^8,x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + \frac{11}{3} \, x^{3} + \frac{55}{2} \, x^{2} + 165 \, x - \frac{38808 \, x^{6} + 19404 \, x^{5} + 9240 \, x^{4} + 3465 \, x^{3} + 924 \, x^{2} + 154 \, x + 12}{84 \, x^{7}} + 330 \, \log\left(x\right)"," ",0,"1/4*x^4 + 11/3*x^3 + 55/2*x^2 + 165*x - 1/84*(38808*x^6 + 19404*x^5 + 9240*x^4 + 3465*x^3 + 924*x^2 + 154*x + 12)/x^7 + 330*log(x)","A",0
608,1,58,0,0.622377," ","integrate((1+x)*(x^2+2*x+1)^5/x^9,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \frac{11}{2} \, x^{2} + 55 \, x - \frac{55440 \, x^{7} + 38808 \, x^{6} + 25872 \, x^{5} + 13860 \, x^{4} + 5544 \, x^{3} + 1540 \, x^{2} + 264 \, x + 21}{168 \, x^{8}} + 165 \, \log\left(x\right)"," ",0,"1/3*x^3 + 11/2*x^2 + 55*x - 1/168*(55440*x^7 + 38808*x^6 + 25872*x^5 + 13860*x^4 + 5544*x^3 + 1540*x^2 + 264*x + 21)/x^8 + 165*log(x)","A",0
609,1,58,0,0.546863," ","integrate((1+x)*(x^2+2*x+1)^5/x^10,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + 11 \, x - \frac{83160 \, x^{8} + 83160 \, x^{7} + 77616 \, x^{6} + 58212 \, x^{5} + 33264 \, x^{4} + 13860 \, x^{3} + 3960 \, x^{2} + 693 \, x + 56}{504 \, x^{9}} + 55 \, \log\left(x\right)"," ",0,"1/2*x^2 + 11*x - 1/504*(83160*x^8 + 83160*x^7 + 77616*x^6 + 58212*x^5 + 33264*x^4 + 13860*x^3 + 3960*x^2 + 693*x + 56)/x^9 + 55*log(x)","A",0
610,1,56,0,0.534436," ","integrate((1+x)*(x^2+2*x+1)^5/x^11,x, algorithm=""maxima"")","x - \frac{138600 \, x^{9} + 207900 \, x^{8} + 277200 \, x^{7} + 291060 \, x^{6} + 232848 \, x^{5} + 138600 \, x^{4} + 59400 \, x^{3} + 17325 \, x^{2} + 3080 \, x + 252}{2520 \, x^{10}} + 11 \, \log\left(x\right)"," ",0,"x - 1/2520*(138600*x^9 + 207900*x^8 + 277200*x^7 + 291060*x^6 + 232848*x^5 + 138600*x^4 + 59400*x^3 + 17325*x^2 + 3080*x + 252)/x^10 + 11*log(x)","A",0
611,1,58,0,0.577897," ","integrate((1+x)*(x^2+2*x+1)^5/x^12,x, algorithm=""maxima"")","-\frac{304920 \, x^{10} + 762300 \, x^{9} + 1524600 \, x^{8} + 2286900 \, x^{7} + 2561328 \, x^{6} + 2134440 \, x^{5} + 1306800 \, x^{4} + 571725 \, x^{3} + 169400 \, x^{2} + 30492 \, x + 2520}{27720 \, x^{11}} + \log\left(x\right)"," ",0,"-1/27720*(304920*x^10 + 762300*x^9 + 1524600*x^8 + 2286900*x^7 + 2561328*x^6 + 2134440*x^5 + 1306800*x^4 + 571725*x^3 + 169400*x^2 + 30492*x + 2520)/x^11 + log(x)","A",0
612,1,60,0,0.474349," ","integrate((1+x)*(x^2+2*x+1)^5/x^13,x, algorithm=""maxima"")","-\frac{12 \, x^{11} + 66 \, x^{10} + 220 \, x^{9} + 495 \, x^{8} + 792 \, x^{7} + 924 \, x^{6} + 792 \, x^{5} + 495 \, x^{4} + 220 \, x^{3} + 66 \, x^{2} + 12 \, x + 1}{12 \, x^{12}}"," ",0,"-1/12*(12*x^11 + 66*x^10 + 220*x^9 + 495*x^8 + 792*x^7 + 924*x^6 + 792*x^5 + 495*x^4 + 220*x^3 + 66*x^2 + 12*x + 1)/x^12","B",0
613,1,60,0,0.517899," ","integrate((1+x)*(x^2+2*x+1)^5/x^14,x, algorithm=""maxima"")","-\frac{78 \, x^{11} + 572 \, x^{10} + 2145 \, x^{9} + 5148 \, x^{8} + 8580 \, x^{7} + 10296 \, x^{6} + 9009 \, x^{5} + 5720 \, x^{4} + 2574 \, x^{3} + 780 \, x^{2} + 143 \, x + 12}{156 \, x^{13}}"," ",0,"-1/156*(78*x^11 + 572*x^10 + 2145*x^9 + 5148*x^8 + 8580*x^7 + 10296*x^6 + 9009*x^5 + 5720*x^4 + 2574*x^3 + 780*x^2 + 143*x + 12)/x^13","B",0
614,1,60,0,0.483179," ","integrate((1+x)*(x^2+2*x+1)^5/x^15,x, algorithm=""maxima"")","-\frac{364 \, x^{11} + 3003 \, x^{10} + 12012 \, x^{9} + 30030 \, x^{8} + 51480 \, x^{7} + 63063 \, x^{6} + 56056 \, x^{5} + 36036 \, x^{4} + 16380 \, x^{3} + 5005 \, x^{2} + 924 \, x + 78}{1092 \, x^{14}}"," ",0,"-1/1092*(364*x^11 + 3003*x^10 + 12012*x^9 + 30030*x^8 + 51480*x^7 + 63063*x^6 + 56056*x^5 + 36036*x^4 + 16380*x^3 + 5005*x^2 + 924*x + 78)/x^14","A",0
615,1,60,0,0.557019," ","integrate((1+x)*(x^2+2*x+1)^5/x^16,x, algorithm=""maxima"")","-\frac{1365 \, x^{11} + 12012 \, x^{10} + 50050 \, x^{9} + 128700 \, x^{8} + 225225 \, x^{7} + 280280 \, x^{6} + 252252 \, x^{5} + 163800 \, x^{4} + 75075 \, x^{3} + 23100 \, x^{2} + 4290 \, x + 364}{5460 \, x^{15}}"," ",0,"-1/5460*(1365*x^11 + 12012*x^10 + 50050*x^9 + 128700*x^8 + 225225*x^7 + 280280*x^6 + 252252*x^5 + 163800*x^4 + 75075*x^3 + 23100*x^2 + 4290*x + 364)/x^15","A",0
616,1,60,0,0.578542," ","integrate((1+x)*(x^2+2*x+1)^5/x^17,x, algorithm=""maxima"")","-\frac{4368 \, x^{11} + 40040 \, x^{10} + 171600 \, x^{9} + 450450 \, x^{8} + 800800 \, x^{7} + 1009008 \, x^{6} + 917280 \, x^{5} + 600600 \, x^{4} + 277200 \, x^{3} + 85800 \, x^{2} + 16016 \, x + 1365}{21840 \, x^{16}}"," ",0,"-1/21840*(4368*x^11 + 40040*x^10 + 171600*x^9 + 450450*x^8 + 800800*x^7 + 1009008*x^6 + 917280*x^5 + 600600*x^4 + 277200*x^3 + 85800*x^2 + 16016*x + 1365)/x^16","A",0
617,1,60,0,0.530138," ","integrate((1+x)*(x^2+2*x+1)^5/x^18,x, algorithm=""maxima"")","-\frac{12376 \, x^{11} + 116688 \, x^{10} + 510510 \, x^{9} + 1361360 \, x^{8} + 2450448 \, x^{7} + 3118752 \, x^{6} + 2858856 \, x^{5} + 1884960 \, x^{4} + 875160 \, x^{3} + 272272 \, x^{2} + 51051 \, x + 4368}{74256 \, x^{17}}"," ",0,"-1/74256*(12376*x^11 + 116688*x^10 + 510510*x^9 + 1361360*x^8 + 2450448*x^7 + 3118752*x^6 + 2858856*x^5 + 1884960*x^4 + 875160*x^3 + 272272*x^2 + 51051*x + 4368)/x^17","A",0
618,1,60,0,0.572577," ","integrate((1+x)*(x^2+2*x+1)^5/x^19,x, algorithm=""maxima"")","-\frac{31824 \, x^{11} + 306306 \, x^{10} + 1361360 \, x^{9} + 3675672 \, x^{8} + 6683040 \, x^{7} + 8576568 \, x^{6} + 7916832 \, x^{5} + 5250960 \, x^{4} + 2450448 \, x^{3} + 765765 \, x^{2} + 144144 \, x + 12376}{222768 \, x^{18}}"," ",0,"-1/222768*(31824*x^11 + 306306*x^10 + 1361360*x^9 + 3675672*x^8 + 6683040*x^7 + 8576568*x^6 + 7916832*x^5 + 5250960*x^4 + 2450448*x^3 + 765765*x^2 + 144144*x + 12376)/x^18","A",0
619,1,60,0,0.582750," ","integrate((1+x)*(x^2+2*x+1)^5/x^20,x, algorithm=""maxima"")","-\frac{75582 \, x^{11} + 739024 \, x^{10} + 3325608 \, x^{9} + 9069840 \, x^{8} + 16628040 \, x^{7} + 21488544 \, x^{6} + 19953648 \, x^{5} + 13302432 \, x^{4} + 6235515 \, x^{3} + 1956240 \, x^{2} + 369512 \, x + 31824}{604656 \, x^{19}}"," ",0,"-1/604656*(75582*x^11 + 739024*x^10 + 3325608*x^9 + 9069840*x^8 + 16628040*x^7 + 21488544*x^6 + 19953648*x^5 + 13302432*x^4 + 6235515*x^3 + 1956240*x^2 + 369512*x + 31824)/x^19","A",0
620,1,60,0,0.512036," ","integrate((1+x)*(x^2+2*x+1)^5/x^21,x, algorithm=""maxima"")","-\frac{167960 \, x^{11} + 1662804 \, x^{10} + 7558200 \, x^{9} + 20785050 \, x^{8} + 38372400 \, x^{7} + 49884120 \, x^{6} + 46558512 \, x^{5} + 31177575 \, x^{4} + 14671800 \, x^{3} + 4618900 \, x^{2} + 875160 \, x + 75582}{1511640 \, x^{20}}"," ",0,"-1/1511640*(167960*x^11 + 1662804*x^10 + 7558200*x^9 + 20785050*x^8 + 38372400*x^7 + 49884120*x^6 + 46558512*x^5 + 31177575*x^4 + 14671800*x^3 + 4618900*x^2 + 875160*x + 75582)/x^20","A",0
621,1,60,0,0.574847," ","integrate((1+x)*(x^2+2*x+1)^5/x^22,x, algorithm=""maxima"")","-\frac{352716 \, x^{11} + 3527160 \, x^{10} + 16166150 \, x^{9} + 44767800 \, x^{8} + 83140200 \, x^{7} + 108636528 \, x^{6} + 101846745 \, x^{5} + 68468400 \, x^{4} + 32332300 \, x^{3} + 10210200 \, x^{2} + 1939938 \, x + 167960}{3527160 \, x^{21}}"," ",0,"-1/3527160*(352716*x^11 + 3527160*x^10 + 16166150*x^9 + 44767800*x^8 + 83140200*x^7 + 108636528*x^6 + 101846745*x^5 + 68468400*x^4 + 32332300*x^3 + 10210200*x^2 + 1939938*x + 167960)/x^21","A",0
622,1,149,0,0.546709," ","integrate(x^5*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{B a^{6} - A a^{5} b}{b^{8} x + a b^{7}} + \frac{12 \, B b^{4} x^{5} - 15 \, {\left(2 \, B a b^{3} - A b^{4}\right)} x^{4} + 20 \, {\left(3 \, B a^{2} b^{2} - 2 \, A a b^{3}\right)} x^{3} - 30 \, {\left(4 \, B a^{3} b - 3 \, A a^{2} b^{2}\right)} x^{2} + 60 \, {\left(5 \, B a^{4} - 4 \, A a^{3} b\right)} x}{60 \, b^{6}} - \frac{{\left(6 \, B a^{5} - 5 \, A a^{4} b\right)} \log\left(b x + a\right)}{b^{7}}"," ",0,"-(B*a^6 - A*a^5*b)/(b^8*x + a*b^7) + 1/60*(12*B*b^4*x^5 - 15*(2*B*a*b^3 - A*b^4)*x^4 + 20*(3*B*a^2*b^2 - 2*A*a*b^3)*x^3 - 30*(4*B*a^3*b - 3*A*a^2*b^2)*x^2 + 60*(5*B*a^4 - 4*A*a^3*b)*x)/b^6 - (6*B*a^5 - 5*A*a^4*b)*log(b*x + a)/b^7","A",0
623,1,123,0,0.716417," ","integrate(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{B a^{5} - A a^{4} b}{b^{7} x + a b^{6}} + \frac{3 \, B b^{3} x^{4} - 4 \, {\left(2 \, B a b^{2} - A b^{3}\right)} x^{3} + 6 \, {\left(3 \, B a^{2} b - 2 \, A a b^{2}\right)} x^{2} - 12 \, {\left(4 \, B a^{3} - 3 \, A a^{2} b\right)} x}{12 \, b^{5}} + \frac{{\left(5 \, B a^{4} - 4 \, A a^{3} b\right)} \log\left(b x + a\right)}{b^{6}}"," ",0,"(B*a^5 - A*a^4*b)/(b^7*x + a*b^6) + 1/12*(3*B*b^3*x^4 - 4*(2*B*a*b^2 - A*b^3)*x^3 + 6*(3*B*a^2*b - 2*A*a*b^2)*x^2 - 12*(4*B*a^3 - 3*A*a^2*b)*x)/b^5 + (5*B*a^4 - 4*A*a^3*b)*log(b*x + a)/b^6","A",0
624,1,101,0,0.569758," ","integrate(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{B a^{4} - A a^{3} b}{b^{6} x + a b^{5}} + \frac{2 \, B b^{2} x^{3} - 3 \, {\left(2 \, B a b - A b^{2}\right)} x^{2} + 6 \, {\left(3 \, B a^{2} - 2 \, A a b\right)} x}{6 \, b^{4}} - \frac{{\left(4 \, B a^{3} - 3 \, A a^{2} b\right)} \log\left(b x + a\right)}{b^{5}}"," ",0,"-(B*a^4 - A*a^3*b)/(b^6*x + a*b^5) + 1/6*(2*B*b^2*x^3 - 3*(2*B*a*b - A*b^2)*x^2 + 6*(3*B*a^2 - 2*A*a*b)*x)/b^4 - (4*B*a^3 - 3*A*a^2*b)*log(b*x + a)/b^5","A",0
625,1,74,0,0.472189," ","integrate(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{B a^{3} - A a^{2} b}{b^{5} x + a b^{4}} + \frac{B b x^{2} - 2 \, {\left(2 \, B a - A b\right)} x}{2 \, b^{3}} + \frac{{\left(3 \, B a^{2} - 2 \, A a b\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"(B*a^3 - A*a^2*b)/(b^5*x + a*b^4) + 1/2*(B*b*x^2 - 2*(2*B*a - A*b)*x)/b^3 + (3*B*a^2 - 2*A*a*b)*log(b*x + a)/b^4","A",0
626,1,53,0,0.485710," ","integrate(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{B a^{2} - A a b}{b^{4} x + a b^{3}} + \frac{B x}{b^{2}} - \frac{{\left(2 \, B a - A b\right)} \log\left(b x + a\right)}{b^{3}}"," ",0,"-(B*a^2 - A*a*b)/(b^4*x + a*b^3) + B*x/b^2 - (2*B*a - A*b)*log(b*x + a)/b^3","A",0
627,1,34,0,0.476067," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{B a - A b}{b^{3} x + a b^{2}} + \frac{B \log\left(b x + a\right)}{b^{2}}"," ",0,"(B*a - A*b)/(b^3*x + a*b^2) + B*log(b*x + a)/b^2","A",0
628,1,44,0,0.606630," ","integrate((B*x+A)/x/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{B a - A b}{a b^{2} x + a^{2} b} - \frac{A \log\left(b x + a\right)}{a^{2}} + \frac{A \log\left(x\right)}{a^{2}}"," ",0,"-(B*a - A*b)/(a*b^2*x + a^2*b) - A*log(b*x + a)/a^2 + A*log(x)/a^2","A",0
629,1,67,0,0.532098," ","integrate((B*x+A)/x^2/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{A a - {\left(B a - 2 \, A b\right)} x}{a^{2} b x^{2} + a^{3} x} - \frac{{\left(B a - 2 \, A b\right)} \log\left(b x + a\right)}{a^{3}} + \frac{{\left(B a - 2 \, A b\right)} \log\left(x\right)}{a^{3}}"," ",0,"-(A*a - (B*a - 2*A*b)*x)/(a^2*b*x^2 + a^3*x) - (B*a - 2*A*b)*log(b*x + a)/a^3 + (B*a - 2*A*b)*log(x)/a^3","A",0
630,1,99,0,0.587125," ","integrate((B*x+A)/x^3/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{A a^{2} + 2 \, {\left(2 \, B a b - 3 \, A b^{2}\right)} x^{2} + {\left(2 \, B a^{2} - 3 \, A a b\right)} x}{2 \, {\left(a^{3} b x^{3} + a^{4} x^{2}\right)}} + \frac{{\left(2 \, B a b - 3 \, A b^{2}\right)} \log\left(b x + a\right)}{a^{4}} - \frac{{\left(2 \, B a b - 3 \, A b^{2}\right)} \log\left(x\right)}{a^{4}}"," ",0,"-1/2*(A*a^2 + 2*(2*B*a*b - 3*A*b^2)*x^2 + (2*B*a^2 - 3*A*a*b)*x)/(a^3*b*x^3 + a^4*x^2) + (2*B*a*b - 3*A*b^2)*log(b*x + a)/a^4 - (2*B*a*b - 3*A*b^2)*log(x)/a^4","A",0
631,1,128,0,0.496555," ","integrate((B*x+A)/x^4/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{2 \, A a^{3} - 6 \, {\left(3 \, B a b^{2} - 4 \, A b^{3}\right)} x^{3} - 3 \, {\left(3 \, B a^{2} b - 4 \, A a b^{2}\right)} x^{2} + {\left(3 \, B a^{3} - 4 \, A a^{2} b\right)} x}{6 \, {\left(a^{4} b x^{4} + a^{5} x^{3}\right)}} - \frac{{\left(3 \, B a b^{2} - 4 \, A b^{3}\right)} \log\left(b x + a\right)}{a^{5}} + \frac{{\left(3 \, B a b^{2} - 4 \, A b^{3}\right)} \log\left(x\right)}{a^{5}}"," ",0,"-1/6*(2*A*a^3 - 6*(3*B*a*b^2 - 4*A*b^3)*x^3 - 3*(3*B*a^2*b - 4*A*a*b^2)*x^2 + (3*B*a^3 - 4*A*a^2*b)*x)/(a^4*b*x^4 + a^5*x^3) - (3*B*a*b^2 - 4*A*b^3)*log(b*x + a)/a^5 + (3*B*a*b^2 - 4*A*b^3)*log(x)/a^5","A",0
632,1,152,0,0.502559," ","integrate((B*x+A)/x^5/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{3 \, A a^{4} + 12 \, {\left(4 \, B a b^{3} - 5 \, A b^{4}\right)} x^{4} + 6 \, {\left(4 \, B a^{2} b^{2} - 5 \, A a b^{3}\right)} x^{3} - 2 \, {\left(4 \, B a^{3} b - 5 \, A a^{2} b^{2}\right)} x^{2} + {\left(4 \, B a^{4} - 5 \, A a^{3} b\right)} x}{12 \, {\left(a^{5} b x^{5} + a^{6} x^{4}\right)}} + \frac{{\left(4 \, B a b^{3} - 5 \, A b^{4}\right)} \log\left(b x + a\right)}{a^{6}} - \frac{{\left(4 \, B a b^{3} - 5 \, A b^{4}\right)} \log\left(x\right)}{a^{6}}"," ",0,"-1/12*(3*A*a^4 + 12*(4*B*a*b^3 - 5*A*b^4)*x^4 + 6*(4*B*a^2*b^2 - 5*A*a*b^3)*x^3 - 2*(4*B*a^3*b - 5*A*a^2*b^2)*x^2 + (4*B*a^4 - 5*A*a^3*b)*x)/(a^5*b*x^5 + a^6*x^4) + (4*B*a*b^3 - 5*A*b^4)*log(b*x + a)/a^6 - (4*B*a*b^3 - 5*A*b^4)*log(x)/a^6","A",0
633,1,168,0,0.569213," ","integrate(x^5*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{74 \, B a^{6} - 47 \, A a^{5} b + 30 \, {\left(3 \, B a^{4} b^{2} - 2 \, A a^{3} b^{3}\right)} x^{2} + 3 \, {\left(54 \, B a^{5} b - 35 \, A a^{4} b^{2}\right)} x}{6 \, {\left(b^{10} x^{3} + 3 \, a b^{9} x^{2} + 3 \, a^{2} b^{8} x + a^{3} b^{7}\right)}} + \frac{2 \, B b^{2} x^{3} - 3 \, {\left(4 \, B a b - A b^{2}\right)} x^{2} + 12 \, {\left(5 \, B a^{2} - 2 \, A a b\right)} x}{6 \, b^{6}} - \frac{10 \, {\left(2 \, B a^{3} - A a^{2} b\right)} \log\left(b x + a\right)}{b^{7}}"," ",0,"-1/6*(74*B*a^6 - 47*A*a^5*b + 30*(3*B*a^4*b^2 - 2*A*a^3*b^3)*x^2 + 3*(54*B*a^5*b - 35*A*a^4*b^2)*x)/(b^10*x^3 + 3*a*b^9*x^2 + 3*a^2*b^8*x + a^3*b^7) + 1/6*(2*B*b^2*x^3 - 3*(4*B*a*b - A*b^2)*x^2 + 12*(5*B*a^2 - 2*A*a*b)*x)/b^6 - 10*(2*B*a^3 - A*a^2*b)*log(b*x + a)/b^7","A",0
634,1,143,0,0.502632," ","integrate(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{47 \, B a^{5} - 26 \, A a^{4} b + 12 \, {\left(5 \, B a^{3} b^{2} - 3 \, A a^{2} b^{3}\right)} x^{2} + 15 \, {\left(7 \, B a^{4} b - 4 \, A a^{3} b^{2}\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 b x^{2} - 2 \, {\left(4 \, B a - A b\right)} x}{2 \, b^{5}} + \frac{2 \, {\left(5 \, B a^{2} - 2 \, A a b\right)} \log\left(b x + a\right)}{b^{6}}"," ",0,"1/6*(47*B*a^5 - 26*A*a^4*b + 12*(5*B*a^3*b^2 - 3*A*a^2*b^3)*x^2 + 15*(7*B*a^4*b - 4*A*a^3*b^2)*x)/(b^9*x^3 + 3*a*b^8*x^2 + 3*a^2*b^7*x + a^3*b^6) + 1/2*(B*b*x^2 - 2*(4*B*a - A*b)*x)/b^5 + 2*(5*B*a^2 - 2*A*a*b)*log(b*x + a)/b^6","A",0
635,1,120,0,0.542857," ","integrate(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{26 \, B a^{4} - 11 \, A a^{3} b + 18 \, {\left(2 \, B a^{2} b^{2} - A a b^{3}\right)} x^{2} + 3 \, {\left(20 \, B a^{3} b - 9 \, A a^{2} b^{2}\right)} x}{6 \, {\left(b^{8} x^{3} + 3 \, a b^{7} x^{2} + 3 \, a^{2} b^{6} x + a^{3} b^{5}\right)}} + \frac{B x}{b^{4}} - \frac{{\left(4 \, B a - A b\right)} \log\left(b x + a\right)}{b^{5}}"," ",0,"-1/6*(26*B*a^4 - 11*A*a^3*b + 18*(2*B*a^2*b^2 - A*a*b^3)*x^2 + 3*(20*B*a^3*b - 9*A*a^2*b^2)*x)/(b^8*x^3 + 3*a*b^7*x^2 + 3*a^2*b^6*x + a^3*b^5) + B*x/b^4 - (4*B*a - A*b)*log(b*x + a)/b^5","A",0
636,1,100,0,0.624578," ","integrate(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{11 \, B a^{3} - 2 \, A a^{2} b + 6 \, {\left(3 \, B a b^{2} - A b^{3}\right)} x^{2} + 3 \, {\left(9 \, B a^{2} b - 2 \, A a b^{2}\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{B \log\left(b x + a\right)}{b^{4}}"," ",0,"1/6*(11*B*a^3 - 2*A*a^2*b + 6*(3*B*a*b^2 - A*b^3)*x^2 + 3*(9*B*a^2*b - 2*A*a*b^2)*x)/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4) + B*log(b*x + a)/b^4","A",0
637,1,71,0,0.710191," ","integrate(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{6 \, B b^{2} x^{2} + 2 \, B a^{2} + A a b + 3 \, {\left(2 \, B a b + A b^{2}\right)} x}{6 \, {\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}"," ",0,"-1/6*(6*B*b^2*x^2 + 2*B*a^2 + A*a*b + 3*(2*B*a*b + A*b^2)*x)/(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + a^3*b^3)","A",0
638,1,50,0,0.511846," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, B b x + B a + 2 \, A b}{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*b*x + B*a + 2*A*b)/(b^5*x^3 + 3*a*b^4*x^2 + 3*a^2*b^3*x + a^3*b^2)","A",0
639,1,91,0,0.593948," ","integrate((B*x+A)/x/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{6 \, A b^{3} x^{2} + 15 \, A a b^{2} x - 2 \, B a^{3} + 11 \, A a^{2} b}{6 \, {\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{A \log\left(b x + a\right)}{a^{4}} + \frac{A \log\left(x\right)}{a^{4}}"," ",0,"1/6*(6*A*b^3*x^2 + 15*A*a*b^2*x - 2*B*a^3 + 11*A*a^2*b)/(a^3*b^4*x^3 + 3*a^4*b^3*x^2 + 3*a^5*b^2*x + a^6*b) - A*log(b*x + a)/a^4 + A*log(x)/a^4","A",0
640,1,134,0,0.543237," ","integrate((B*x+A)/x^2/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{6 \, A a^{3} - 6 \, {\left(B a b^{2} - 4 \, A b^{3}\right)} x^{3} - 15 \, {\left(B a^{2} b - 4 \, A a b^{2}\right)} x^{2} - 11 \, {\left(B a^{3} - 4 \, A a^{2} b\right)} x}{6 \, {\left(a^{4} b^{3} x^{4} + 3 \, a^{5} b^{2} x^{3} + 3 \, a^{6} b x^{2} + a^{7} x\right)}} - \frac{{\left(B a - 4 \, A b\right)} \log\left(b x + a\right)}{a^{5}} + \frac{{\left(B a - 4 \, A b\right)} \log\left(x\right)}{a^{5}}"," ",0,"-1/6*(6*A*a^3 - 6*(B*a*b^2 - 4*A*b^3)*x^3 - 15*(B*a^2*b - 4*A*a*b^2)*x^2 - 11*(B*a^3 - 4*A*a^2*b)*x)/(a^4*b^3*x^4 + 3*a^5*b^2*x^3 + 3*a^6*b*x^2 + a^7*x) - (B*a - 4*A*b)*log(b*x + a)/a^5 + (B*a - 4*A*b)*log(x)/a^5","A",0
641,1,172,0,0.615274," ","integrate((B*x+A)/x^3/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, A a^{4} + 12 \, {\left(2 \, B a b^{3} - 5 \, A b^{4}\right)} x^{4} + 30 \, {\left(2 \, B a^{2} b^{2} - 5 \, A a b^{3}\right)} x^{3} + 22 \, {\left(2 \, B a^{3} b - 5 \, A a^{2} b^{2}\right)} x^{2} + 3 \, {\left(2 \, B a^{4} - 5 \, A a^{3} b\right)} x}{6 \, {\left(a^{5} b^{3} x^{5} + 3 \, a^{6} b^{2} x^{4} + 3 \, a^{7} b x^{3} + a^{8} x^{2}\right)}} + \frac{2 \, {\left(2 \, B a b - 5 \, A b^{2}\right)} \log\left(b x + a\right)}{a^{6}} - \frac{2 \, {\left(2 \, B a b - 5 \, A b^{2}\right)} \log\left(x\right)}{a^{6}}"," ",0,"-1/6*(3*A*a^4 + 12*(2*B*a*b^3 - 5*A*b^4)*x^4 + 30*(2*B*a^2*b^2 - 5*A*a*b^3)*x^3 + 22*(2*B*a^3*b - 5*A*a^2*b^2)*x^2 + 3*(2*B*a^4 - 5*A*a^3*b)*x)/(a^5*b^3*x^5 + 3*a^6*b^2*x^4 + 3*a^7*b*x^3 + a^8*x^2) + 2*(2*B*a*b - 5*A*b^2)*log(b*x + a)/a^6 - 2*(2*B*a*b - 5*A*b^2)*log(x)/a^6","A",0
642,1,193,0,0.665626," ","integrate((B*x+A)/x^4/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{2 \, A a^{5} - 60 \, {\left(B a b^{4} - 2 \, A b^{5}\right)} x^{5} - 150 \, {\left(B a^{2} b^{3} - 2 \, A a b^{4}\right)} x^{4} - 110 \, {\left(B a^{3} b^{2} - 2 \, A a^{2} b^{3}\right)} x^{3} - 15 \, {\left(B a^{4} b - 2 \, A a^{3} b^{2}\right)} x^{2} + 3 \, {\left(B a^{5} - 2 \, A a^{4} b\right)} x}{6 \, {\left(a^{6} b^{3} x^{6} + 3 \, a^{7} b^{2} x^{5} + 3 \, a^{8} b x^{4} + a^{9} x^{3}\right)}} - \frac{10 \, {\left(B a b^{2} - 2 \, A b^{3}\right)} \log\left(b x + a\right)}{a^{7}} + \frac{10 \, {\left(B a b^{2} - 2 \, A b^{3}\right)} \log\left(x\right)}{a^{7}}"," ",0,"-1/6*(2*A*a^5 - 60*(B*a*b^4 - 2*A*b^5)*x^5 - 150*(B*a^2*b^3 - 2*A*a*b^4)*x^4 - 110*(B*a^3*b^2 - 2*A*a^2*b^3)*x^3 - 15*(B*a^4*b - 2*A*a^3*b^2)*x^2 + 3*(B*a^5 - 2*A*a^4*b)*x)/(a^6*b^3*x^6 + 3*a^7*b^2*x^5 + 3*a^8*b*x^4 + a^9*x^3) - 10*(B*a*b^2 - 2*A*b^3)*log(b*x + a)/a^7 + 10*(B*a*b^2 - 2*A*b^3)*log(x)/a^7","A",0
643,1,213,0,0.697201," ","integrate(x^6*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{459 \, B a^{7} - 174 \, A a^{6} b + 100 \, {\left(7 \, B a^{3} b^{4} - 3 \, A a^{2} b^{5}\right)} x^{4} + 50 \, {\left(49 \, B a^{4} b^{3} - 20 \, A a^{3} b^{4}\right)} x^{3} + 10 \, {\left(329 \, B a^{5} b^{2} - 130 \, A a^{4} b^{3}\right)} x^{2} + 35 \, {\left(57 \, B a^{6} b - 22 \, A a^{5} b^{2}\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 b x^{2} - 2 \, {\left(6 \, B a - A b\right)} x}{2 \, b^{7}} + \frac{3 \, {\left(7 \, B a^{2} - 2 \, A a b\right)} \log\left(b x + a\right)}{b^{8}}"," ",0,"1/20*(459*B*a^7 - 174*A*a^6*b + 100*(7*B*a^3*b^4 - 3*A*a^2*b^5)*x^4 + 50*(49*B*a^4*b^3 - 20*A*a^3*b^4)*x^3 + 10*(329*B*a^5*b^2 - 130*A*a^4*b^3)*x^2 + 35*(57*B*a^6*b - 22*A*a^5*b^2)*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*b*x^2 - 2*(6*B*a - A*b)*x)/b^7 + 3*(7*B*a^2 - 2*A*a*b)*log(b*x + a)/b^8","A",0
644,1,190,0,0.644073," ","integrate(x^5*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{522 \, B a^{6} - 137 \, A a^{5} b + 300 \, {\left(3 \, B a^{2} b^{4} - A a b^{5}\right)} x^{4} + 300 \, {\left(10 \, B a^{3} b^{3} - 3 \, A a^{2} b^{4}\right)} x^{3} + 100 \, {\left(39 \, B a^{4} b^{2} - 11 \, A a^{3} b^{3}\right)} x^{2} + 5 \, {\left(462 \, B a^{5} b - 125 \, A a^{4} b^{2}\right)} x}{60 \, {\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{B x}{b^{6}} - \frac{{\left(6 \, B a - A b\right)} \log\left(b x + a\right)}{b^{7}}"," ",0,"-1/60*(522*B*a^6 - 137*A*a^5*b + 300*(3*B*a^2*b^4 - A*a*b^5)*x^4 + 300*(10*B*a^3*b^3 - 3*A*a^2*b^4)*x^3 + 100*(39*B*a^4*b^2 - 11*A*a^3*b^3)*x^2 + 5*(462*B*a^5*b - 125*A*a^4*b^2)*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) + B*x/b^6 - (6*B*a - A*b)*log(b*x + a)/b^7","A",0
645,1,170,0,0.604290," ","integrate(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{137 \, B a^{5} - 12 \, A a^{4} b + 60 \, {\left(5 \, B a b^{4} - A b^{5}\right)} x^{4} + 60 \, {\left(15 \, B a^{2} b^{3} - 2 \, A a b^{4}\right)} x^{3} + 20 \, {\left(55 \, B a^{3} b^{2} - 6 \, A a^{2} b^{3}\right)} x^{2} + 5 \, {\left(125 \, B a^{4} b - 12 \, A a^{3} b^{2}\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{B \log\left(b x + a\right)}{b^{6}}"," ",0,"1/60*(137*B*a^5 - 12*A*a^4*b + 60*(5*B*a*b^4 - A*b^5)*x^4 + 60*(15*B*a^2*b^3 - 2*A*a*b^4)*x^3 + 20*(55*B*a^3*b^2 - 6*A*a^2*b^3)*x^2 + 5*(125*B*a^4*b - 12*A*a^3*b^2)*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) + B*log(b*x + a)/b^6","A",0
646,1,139,0,0.653743," ","integrate(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{20 \, B b^{4} x^{4} + 4 \, B a^{4} + A a^{3} b + 10 \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{3} + 10 \, {\left(4 \, B a^{2} b^{2} + A a b^{3}\right)} x^{2} + 5 \, {\left(4 \, B a^{3} b + A a^{2} b^{2}\right)} x}{20 \, {\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,"-1/20*(20*B*b^4*x^4 + 4*B*a^4 + A*a^3*b + 10*(4*B*a*b^3 + A*b^4)*x^3 + 10*(4*B*a^2*b^2 + A*a*b^3)*x^2 + 5*(4*B*a^3*b + A*a^2*b^2)*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
647,1,119,0,0.609257," ","integrate(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{30 \, B b^{3} x^{3} + 3 \, B a^{3} + 2 \, A a^{2} b + 10 \, {\left(3 \, B a b^{2} + 2 \, A b^{3}\right)} x^{2} + 5 \, {\left(3 \, B a^{2} b + 2 \, A a b^{2}\right)} x}{60 \, {\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,"-1/60*(30*B*b^3*x^3 + 3*B*a^3 + 2*A*a^2*b + 10*(3*B*a*b^2 + 2*A*b^3)*x^2 + 5*(3*B*a^2*b + 2*A*a*b^2)*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)","A",0
648,1,95,0,0.629333," ","integrate(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{20 \, B b^{2} x^{2} + 2 \, B a^{2} + 3 \, A a b + 5 \, {\left(2 \, B a b + 3 \, A b^{2}\right)} x}{60 \, {\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,"-1/60*(20*B*b^2*x^2 + 2*B*a^2 + 3*A*a*b + 5*(2*B*a*b + 3*A*b^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
649,1,72,0,0.686851," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{5 \, B b x + B a + 4 \, A b}{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*b*x + B*a + 4*A*b)/(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
650,1,137,0,0.906434," ","integrate((B*x+A)/x/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{60 \, A b^{5} x^{4} + 270 \, A a b^{4} x^{3} + 470 \, A a^{2} b^{3} x^{2} + 385 \, A a^{3} b^{2} x - 12 \, B a^{5} + 137 \, A a^{4} b}{60 \, {\left(a^{5} b^{6} x^{5} + 5 \, a^{6} b^{5} x^{4} + 10 \, a^{7} b^{4} x^{3} + 10 \, a^{8} b^{3} x^{2} + 5 \, a^{9} b^{2} x + a^{10} b\right)}} - \frac{A \log\left(b x + a\right)}{a^{6}} + \frac{A \log\left(x\right)}{a^{6}}"," ",0,"1/60*(60*A*b^5*x^4 + 270*A*a*b^4*x^3 + 470*A*a^2*b^3*x^2 + 385*A*a^3*b^2*x - 12*B*a^5 + 137*A*a^4*b)/(a^5*b^6*x^5 + 5*a^6*b^5*x^4 + 10*a^7*b^4*x^3 + 10*a^8*b^3*x^2 + 5*a^9*b^2*x + a^10*b) - A*log(b*x + a)/a^6 + A*log(x)/a^6","A",0
651,1,202,0,0.751435," ","integrate((B*x+A)/x^2/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{60 \, A a^{5} - 60 \, {\left(B a b^{4} - 6 \, A b^{5}\right)} x^{5} - 270 \, {\left(B a^{2} b^{3} - 6 \, A a b^{4}\right)} x^{4} - 470 \, {\left(B a^{3} b^{2} - 6 \, A a^{2} b^{3}\right)} x^{3} - 385 \, {\left(B a^{4} b - 6 \, A a^{3} b^{2}\right)} x^{2} - 137 \, {\left(B a^{5} - 6 \, A a^{4} b\right)} x}{60 \, {\left(a^{6} b^{5} x^{6} + 5 \, a^{7} b^{4} x^{5} + 10 \, a^{8} b^{3} x^{4} + 10 \, a^{9} b^{2} x^{3} + 5 \, a^{10} b x^{2} + a^{11} x\right)}} - \frac{{\left(B a - 6 \, A b\right)} \log\left(b x + a\right)}{a^{7}} + \frac{{\left(B a - 6 \, A b\right)} \log\left(x\right)}{a^{7}}"," ",0,"-1/60*(60*A*a^5 - 60*(B*a*b^4 - 6*A*b^5)*x^5 - 270*(B*a^2*b^3 - 6*A*a*b^4)*x^4 - 470*(B*a^3*b^2 - 6*A*a^2*b^3)*x^3 - 385*(B*a^4*b - 6*A*a^3*b^2)*x^2 - 137*(B*a^5 - 6*A*a^4*b)*x)/(a^6*b^5*x^6 + 5*a^7*b^4*x^5 + 10*a^8*b^3*x^4 + 10*a^9*b^2*x^3 + 5*a^10*b*x^2 + a^11*x) - (B*a - 6*A*b)*log(b*x + a)/a^7 + (B*a - 6*A*b)*log(x)/a^7","A",0
652,1,242,0,0.776217," ","integrate((B*x+A)/x^3/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{10 \, A a^{6} + 60 \, {\left(2 \, B a b^{5} - 7 \, A b^{6}\right)} x^{6} + 270 \, {\left(2 \, B a^{2} b^{4} - 7 \, A a b^{5}\right)} x^{5} + 470 \, {\left(2 \, B a^{3} b^{3} - 7 \, A a^{2} b^{4}\right)} x^{4} + 385 \, {\left(2 \, B a^{4} b^{2} - 7 \, A a^{3} b^{3}\right)} x^{3} + 137 \, {\left(2 \, B a^{5} b - 7 \, A a^{4} b^{2}\right)} x^{2} + 10 \, {\left(2 \, B a^{6} - 7 \, A a^{5} b\right)} x}{20 \, {\left(a^{7} b^{5} x^{7} + 5 \, a^{8} b^{4} x^{6} + 10 \, a^{9} b^{3} x^{5} + 10 \, a^{10} b^{2} x^{4} + 5 \, a^{11} b x^{3} + a^{12} x^{2}\right)}} + \frac{3 \, {\left(2 \, B a b - 7 \, A b^{2}\right)} \log\left(b x + a\right)}{a^{8}} - \frac{3 \, {\left(2 \, B a b - 7 \, A b^{2}\right)} \log\left(x\right)}{a^{8}}"," ",0,"-1/20*(10*A*a^6 + 60*(2*B*a*b^5 - 7*A*b^6)*x^6 + 270*(2*B*a^2*b^4 - 7*A*a*b^5)*x^5 + 470*(2*B*a^3*b^3 - 7*A*a^2*b^4)*x^4 + 385*(2*B*a^4*b^2 - 7*A*a^3*b^3)*x^3 + 137*(2*B*a^5*b - 7*A*a^4*b^2)*x^2 + 10*(2*B*a^6 - 7*A*a^5*b)*x)/(a^7*b^5*x^7 + 5*a^8*b^4*x^6 + 10*a^9*b^3*x^5 + 10*a^10*b^2*x^4 + 5*a^11*b*x^3 + a^12*x^2) + 3*(2*B*a*b - 7*A*b^2)*log(b*x + a)/a^8 - 3*(2*B*a*b - 7*A*b^2)*log(x)/a^8","A",0
653,1,361,0,0.581491," ","integrate(x^4*(B*x+A)*((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}} B x^{4}}{7 \, b^{2}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a x^{3}}{42 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A x^{3}}{6 \, b^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{5} x}{2 \, b^{5}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{4} x}{2 \, b^{4}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2} x^{2}}{14 \, b^{4}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a x^{2}}{10 \, b^{3}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{6}}{2 \, b^{6}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{5}}{2 \, b^{5}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{3} x}{7 \, b^{5}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{2} x}{5 \, b^{4}} + \frac{10 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{4}}{21 \, b^{6}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{3}}{15 \, b^{5}}"," ",0,"1/7*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*x^4/b^2 - 11/42*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*x^3/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*x^3/b^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^5*x/b^5 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^4*x/b^4 + 5/14*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2*x^2/b^4 - 3/10*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*x^2/b^3 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^6/b^6 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^5/b^5 - 3/7*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^3*x/b^5 + 2/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^2*x/b^4 + 10/21*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^4/b^6 - 7/15*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^3/b^5","B",0
654,1,301,0,0.588922," ","integrate(x^3*(B*x+A)*((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}} B x^{3}}{6 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{4} x}{2 \, b^{4}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{3} x}{2 \, b^{3}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a x^{2}}{10 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A x^{2}}{5 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{5}}{2 \, b^{5}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{4}}{2 \, b^{4}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2} x}{5 \, b^{4}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a x}{20 \, b^{3}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{3}}{15 \, b^{5}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{2}}{20 \, b^{4}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*x^3/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^4*x/b^4 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^3*x/b^3 - 3/10*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*x^2/b^3 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*x^2/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^5/b^5 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^4/b^4 + 2/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2*x/b^4 - 7/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*x/b^3 - 7/15*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^3/b^5 + 9/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^2/b^4","B",0
655,1,241,0,0.573982," ","integrate(x^2*(B*x+A)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{3} x}{2 \, b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{2} x}{2 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B x^{2}}{5 \, b^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{4}}{2 \, b^{4}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{3}}{2 \, b^{3}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a x}{20 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A x}{4 \, b^{2}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2}}{20 \, b^{4}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a}{12 \, b^{3}}"," ",0,"-1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^3*x/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^2*x/b^2 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*x^2/b^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^4/b^4 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^3/b^3 - 7/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*x/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*x/b^2 + 9/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2/b^4 - 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a/b^3","B",0
656,1,183,0,0.509372," ","integrate(x*(B*x+A)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{2} x}{2 \, b^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a x}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{3}}{2 \, b^{3}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{2}}{2 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B x}{4 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a}{12 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A}{3 \, b^{2}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^2*x/b^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a*x/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^3/b^3 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^2/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*x/b^2 - 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a/b^3 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A/b^2","B",0
657,1,125,0,0.628380," ","integrate((B*x+A)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A x - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a x}{2 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{2}}{2 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a}{2 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B}{3 \, b^{2}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*x - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a*x/b - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^2/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a/b + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B/b^2","B",0
658,1,133,0,0.506624," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} A a \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A a \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}} B x + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a}{2 \, b}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*A*a*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*A*a*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*x + sqrt(b^2*x^2 + 2*a*b*x + a^2)*A + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a/b","A",0
659,1,175,0,0.716040," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^2,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} B a \log\left(2 \, b^{2} x + 2 \, a b\right) + \left(-1\right)^{2 \, b^{2} x + 2 \, a b} A b \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B a \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A b \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}} B - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A}{x}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*B*a*log(2*b^2*x + 2*a*b) + (-1)^(2*b^2*x + 2*a*b)*A*b*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*B*a*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - (-1)^(2*a*b*x + 2*a^2)*A*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) + sqrt(b^2*x^2 + 2*a*b*x + a^2)*B - sqrt(b^2*x^2 + 2*a*b*x + a^2)*A/x","B",0
660,1,172,0,0.547205," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^3,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} B b \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B 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}} A b^{2}}{2 \, a^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B}{x} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b}{2 \, a x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A}{2 \, a^{2} x^{2}}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*B*b*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*B*b*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^2/a^2 - sqrt(b^2*x^2 + 2*a*b*x + a^2)*B/x + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b/(a*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A/(a^2*x^2)","B",0
661,1,195,0,0.490079," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{2}}{2 \, a^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{3}}{2 \, a^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b}{2 \, a x} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A 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^{2} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b}{2 \, a^{3} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A}{3 \, a^{2} x^{3}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^2/a^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^3/a^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b/(a*x) - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^2/(a^2*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B/(a^2*x^2) + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b/(a^3*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A/(a^2*x^3)","B",0
662,1,255,0,0.536784," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{3}}{2 \, a^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{4}}{2 \, a^{4}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{2}}{2 \, a^{2} x} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{3}}{2 \, a^{3} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b}{2 \, a^{3} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{2}}{2 \, a^{4} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B}{3 \, a^{2} x^{3}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b}{12 \, a^{3} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A}{4 \, a^{2} x^{4}}"," ",0,"-1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^3/a^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^4/a^4 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^2/(a^2*x) + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^3/(a^3*x) + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b/(a^3*x^2) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^2/(a^4*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B/(a^2*x^3) + 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b/(a^3*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A/(a^2*x^4)","B",0
663,1,315,0,0.650429," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^6,x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{4}}{2 \, a^{4}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{5}}{2 \, a^{5}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{3}}{2 \, a^{3} x} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{4}}{2 \, a^{4} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{2}}{2 \, a^{4} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{3}}{2 \, a^{5} x^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b}{12 \, a^{3} x^{3}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{2}}{20 \, a^{4} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B}{4 \, a^{2} x^{4}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b}{20 \, a^{3} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A}{5 \, a^{2} x^{5}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^4/a^4 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^5/a^5 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^3/(a^3*x) - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^4/(a^4*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^2/(a^4*x^2) + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^3/(a^5*x^2) + 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b/(a^3*x^3) - 9/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^2/(a^4*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B/(a^2*x^4) + 7/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b/(a^3*x^4) - 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A/(a^2*x^5)","B",0
664,1,375,0,0.614778," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{5}}{2 \, a^{5}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{6}}{2 \, a^{6}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{4}}{2 \, a^{4} x} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{5}}{2 \, a^{5} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{3}}{2 \, a^{5} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{4}}{2 \, a^{6} x^{2}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{2}}{20 \, a^{4} x^{3}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{3}}{15 \, a^{5} x^{3}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b}{20 \, a^{3} x^{4}} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{2}}{5 \, a^{4} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B}{5 \, a^{2} x^{5}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b}{10 \, a^{3} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A}{6 \, a^{2} x^{6}}"," ",0,"-1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^5/a^5 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^6/a^6 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^4/(a^4*x) + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^5/(a^5*x) + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^3/(a^5*x^2) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^4/(a^6*x^2) - 9/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^2/(a^4*x^3) + 7/15*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^3/(a^5*x^3) + 7/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b/(a^3*x^4) - 2/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^2/(a^4*x^4) - 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B/(a^2*x^5) + 3/10*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b/(a^3*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A/(a^2*x^6)","B",0
665,1,421,0,0.696931," ","integrate(x^5*(B*x+A)*(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}} B x^{5}}{10 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a x^{4}}{6 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A x^{4}}{9 \, b^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2} x^{3}}{24 \, b^{4}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a x^{3}}{72 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{6} x}{4 \, b^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{5} x}{4 \, b^{5}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{3} x^{2}}{56 \, b^{5}} + \frac{37 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{2} x^{2}}{168 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{7}}{4 \, b^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{6}}{4 \, b^{6}} + \frac{41 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{4} x}{168 \, b^{6}} - \frac{121 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{3} x}{504 \, b^{5}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{5}}{840 \, b^{7}} + \frac{125 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{4}}{504 \, b^{6}}"," ",0,"1/10*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*x^5/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*x^4/b^3 + 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*x^4/b^2 + 5/24*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2*x^3/b^4 - 13/72*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*x^3/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^6*x/b^6 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^5*x/b^5 - 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3*x^2/b^5 + 37/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^2*x^2/b^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^7/b^7 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^6/b^6 + 41/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^4*x/b^6 - 121/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^3*x/b^5 - 209/840*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^5/b^7 + 125/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^4/b^6","B",0
666,1,361,0,0.567099," ","integrate(x^4*(B*x+A)*(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}} B x^{4}}{9 \, b^{2}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a x^{3}}{72 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A x^{3}}{8 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{5} x}{4 \, b^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{4} x}{4 \, b^{4}} + \frac{37 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2} x^{2}}{168 \, b^{4}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a x^{2}}{56 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{6}}{4 \, b^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{5}}{4 \, b^{5}} - \frac{121 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{3} x}{504 \, b^{5}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{2} x}{56 \, b^{4}} + \frac{125 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{4}}{504 \, b^{6}} - \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{3}}{280 \, b^{5}}"," ",0,"1/9*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*x^4/b^2 - 13/72*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*x^3/b^3 + 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*x^3/b^2 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^5*x/b^5 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^4*x/b^4 + 37/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2*x^2/b^4 - 11/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*x^2/b^3 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^6/b^6 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^5/b^5 - 121/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3*x/b^5 + 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^2*x/b^4 + 125/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^4/b^6 - 69/280*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^3/b^5","B",0
667,1,301,0,0.565467," ","integrate(x^3*(B*x+A)*(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}} B x^{3}}{8 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{4} x}{4 \, b^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{3} x}{4 \, b^{3}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a x^{2}}{56 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A x^{2}}{7 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{5}}{4 \, b^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{4}}{4 \, b^{4}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2} x}{56 \, b^{4}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a x}{14 \, b^{3}} - \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{3}}{280 \, b^{5}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{2}}{70 \, b^{4}}"," ",0,"1/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*x^3/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^4*x/b^4 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^3*x/b^3 - 11/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*x^2/b^3 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*x^2/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^5/b^5 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^4/b^4 + 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2*x/b^4 - 3/14*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*x/b^3 - 69/280*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3/b^5 + 17/70*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^2/b^4","B",0
668,1,241,0,0.536962," ","integrate(x^2*(B*x+A)*(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}} B a^{3} x}{4 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{2} x}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B x^{2}}{7 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{4}}{4 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{3}}{4 \, b^{3}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a x}{14 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A x}{6 \, b^{2}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2}}{70 \, b^{4}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a}{30 \, b^{3}}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^3*x/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^2*x/b^2 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*x^2/b^2 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^4/b^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^3/b^3 - 3/14*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*x/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*x/b^2 + 17/70*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2/b^4 - 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a/b^3","A",0
669,1,183,0,0.658494," ","integrate(x*(B*x+A)*(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}} B a^{2} x}{4 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a x}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{3}}{4 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{2}}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B x}{6 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a}{30 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{5 \, b^{2}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2*x/b^2 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*x/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^3/b^3 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^2/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*x/b^2 - 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a/b^3 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/b^2","B",0
670,1,125,0,0.607064," ","integrate((B*x+A)*(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}} A x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a x}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2}}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{5 \, b^{2}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*x - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*x/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a/b + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/b^2","B",0
671,1,186,0,0.476641," ","integrate((B*x+A)*(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 a^{3} \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A 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 a b x + \frac{3}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{2} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B x + \frac{1}{3} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a}{4 \, b}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*A*a^3*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*A*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*a*b*x + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*x + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a/b","A",0
672,1,283,0,0.540782," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^2,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} B a^{3} \log\left(2 \, b^{2} x + 2 \, a b\right) + 3 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} A a^{2} b \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B a^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - 3 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A a^{2} b \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}} B a b x + \frac{3}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{2} x + \frac{3}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{2} + \frac{9}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a b + \frac{1}{3} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A}{x}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*B*a^3*log(2*b^2*x + 2*a*b) + 3*(-1)^(2*b^2*x + 2*a*b)*A*a^2*b*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*B*a^3*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - 3*(-1)^(2*a*b*x + 2*a^2)*A*a^2*b*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*a*b*x + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^2*x + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^2 + 9/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a*b + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B - (b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A/x","B",0
673,1,351,0,0.626942," ","integrate((B*x+A)*(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} B a^{2} b \log\left(2 \, b^{2} x + 2 \, a b\right) + 3 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} A a b^{2} \log\left(2 \, b^{2} x + 2 \, a b\right) - 3 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B a^{2} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - 3 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A a b^{2} \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 b^{2} x + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{3} x}{2 \, a} + \frac{9}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a b + \frac{9}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{2} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{2}}{2 \, a^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B}{x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b}{2 \, a x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{2 \, a^{2} x^{2}}"," ",0,"3*(-1)^(2*b^2*x + 2*a*b)*B*a^2*b*log(2*b^2*x + 2*a*b) + 3*(-1)^(2*b^2*x + 2*a*b)*A*a*b^2*log(2*b^2*x + 2*a*b) - 3*(-1)^(2*a*b*x + 2*a^2)*B*a^2*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - 3*(-1)^(2*a*b*x + 2*a^2)*A*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*b^2*x + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^3*x/a + 9/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a*b + 9/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^2 + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^2/a^2 - (b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B/x - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b/(a*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^2)","B",0
674,1,443,0,0.664815," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^4,x, algorithm=""maxima"")","3 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} B a b^{2} \log\left(2 \, b^{2} x + 2 \, a b\right) + \left(-1\right)^{2 \, b^{2} x + 2 \, a b} A b^{3} \log\left(2 \, b^{2} x + 2 \, a b\right) - 3 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B a b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A b^{3} \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 b^{3} x}{2 \, a} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{4} x}{2 \, a^{2}} + \frac{9}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{2} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{3}}{2 \, a} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{2}}{2 \, a^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{3}}{6 \, a^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b}{2 \, a x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{2}}{2 \, a^{2} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{2 \, a^{2} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{6 \, a^{3} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{3 \, a^{2} x^{3}}"," ",0,"3*(-1)^(2*b^2*x + 2*a*b)*B*a*b^2*log(2*b^2*x + 2*a*b) + (-1)^(2*b^2*x + 2*a*b)*A*b^3*log(2*b^2*x + 2*a*b) - 3*(-1)^(2*a*b*x + 2*a^2)*B*a*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - (-1)^(2*a*b*x + 2*a^2)*A*b^3*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*b^3*x/a + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^4*x/a^2 + 9/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^2 + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^3/a + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^2/a^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^3/a^3 - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b/(a*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^2/(a^2*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/(a^2*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a^3*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^3)","B",0
675,1,379,0,0.760381," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^5,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} B b^{3} \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B 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 b^{4} x}{2 \, a^{2}} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{3}}{2 \, a} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{3}}{6 \, a^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{4}}{4 \, a^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{2}}{2 \, a^{2} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{3}}{4 \, a^{3} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b}{6 \, a^{3} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{2}}{4 \, a^{4} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{3 \, a^{2} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{4 \, a^{3} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{4 \, a^{2} x^{4}}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*B*b^3*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*B*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*b^4*x/a^2 + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^3/a - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^3/a^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^4/a^4 - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^2/(a^2*x) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^3/(a^3*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b/(a^3*x^2) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/(a^4*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/(a^2*x^3) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a^3*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^4)","B",0
676,1,315,0,0.805479," ","integrate((B*x+A)*(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 b^{4}}{4 \, a^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{5}}{4 \, a^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{3}}{4 \, a^{3} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{4}}{4 \, a^{4} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{2}}{4 \, a^{4} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{3}}{4 \, a^{5} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b}{4 \, a^{3} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A 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^{2} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{4 \, a^{3} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{5 \, a^{2} x^{5}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^4/a^4 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^5/a^5 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^3/(a^3*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^4/(a^4*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^2/(a^4*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^3/(a^5*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b/(a^3*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/(a^4*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/(a^2*x^4) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a^3*x^4) - 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^5)","B",0
677,1,375,0,0.571085," ","integrate((B*x+A)*(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 b^{5}}{4 \, a^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{6}}{4 \, a^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{4}}{4 \, a^{4} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{5}}{4 \, a^{5} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{3}}{4 \, a^{5} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{4}}{4 \, a^{6} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{2}}{4 \, a^{4} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{3}}{4 \, a^{5} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b}{4 \, a^{3} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{2}}{4 \, a^{4} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{5 \, a^{2} x^{5}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{30 \, a^{3} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{6 \, a^{2} x^{6}}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^5/a^5 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^6/a^6 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^4/(a^4*x) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^5/(a^5*x) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^3/(a^5*x^2) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^4/(a^6*x^2) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^2/(a^4*x^3) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^3/(a^5*x^3) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b/(a^3*x^4) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/(a^4*x^4) - 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/(a^2*x^5) + 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a^3*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^6)","B",0
678,1,435,0,0.553628," ","integrate((B*x+A)*(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 b^{6}}{4 \, a^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{7}}{4 \, a^{7}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{5}}{4 \, a^{5} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{6}}{4 \, a^{6} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{4}}{4 \, a^{6} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{5}}{4 \, a^{7} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{3}}{4 \, a^{5} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{4}}{4 \, a^{6} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{2}}{4 \, a^{4} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{3}}{4 \, a^{5} x^{4}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b}{30 \, a^{3} x^{5}} - \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{2}}{70 \, a^{4} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{6 \, a^{2} x^{6}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{14 \, a^{3} x^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{7 \, a^{2} x^{7}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^6/a^6 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^7/a^7 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^5/(a^5*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^6/(a^6*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^4/(a^6*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^5/(a^7*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^3/(a^5*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^4/(a^6*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^2/(a^4*x^4) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^3/(a^5*x^4) + 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b/(a^3*x^5) - 17/70*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/(a^4*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/(a^2*x^6) + 3/14*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a^3*x^6) - 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^7)","B",0
679,1,495,0,0.521816," ","integrate((B*x+A)*(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 b^{7}}{4 \, a^{7}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{8}}{4 \, a^{8}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{6}}{4 \, a^{6} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{7}}{4 \, a^{7} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{5}}{4 \, a^{7} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{6}}{4 \, a^{8} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{4}}{4 \, a^{6} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{5}}{4 \, a^{7} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{3}}{4 \, a^{5} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{4}}{4 \, a^{6} x^{4}} - \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{2}}{70 \, a^{4} x^{5}} + \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{3}}{280 \, a^{5} x^{5}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b}{14 \, a^{3} x^{6}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{2}}{56 \, a^{4} x^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{7 \, a^{2} x^{7}} + \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{56 \, a^{3} x^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{8 \, a^{2} x^{8}}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^7/a^7 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^8/a^8 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^6/(a^6*x) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^7/(a^7*x) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^5/(a^7*x^2) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^6/(a^8*x^2) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^4/(a^6*x^3) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^5/(a^7*x^3) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^3/(a^5*x^4) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^4/(a^6*x^4) - 17/70*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^2/(a^4*x^5) + 69/280*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^3/(a^5*x^5) + 3/14*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b/(a^3*x^6) - 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/(a^4*x^6) - 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/(a^2*x^7) + 11/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a^3*x^7) - 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^8)","B",0
680,1,555,0,0.570148," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^10,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{8}}{4 \, a^{8}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{9}}{4 \, a^{9}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{7}}{4 \, a^{7} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{8}}{4 \, a^{8} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{6}}{4 \, a^{8} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{7}}{4 \, a^{9} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{5}}{4 \, a^{7} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{6}}{4 \, a^{8} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{4}}{4 \, a^{6} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{5}}{4 \, a^{7} x^{4}} + \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{3}}{280 \, a^{5} x^{5}} - \frac{125 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{4}}{504 \, a^{6} x^{5}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{2}}{56 \, a^{4} x^{6}} + \frac{121 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{3}}{504 \, a^{5} x^{6}} + \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b}{56 \, a^{3} x^{7}} - \frac{37 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{2}}{168 \, a^{4} x^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{8 \, a^{2} x^{8}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{72 \, a^{3} x^{8}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{9 \, a^{2} x^{9}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^8/a^8 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^9/a^9 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^7/(a^7*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^8/(a^8*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^6/(a^8*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^7/(a^9*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^5/(a^7*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^6/(a^8*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^4/(a^6*x^4) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^5/(a^7*x^4) + 69/280*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^3/(a^5*x^5) - 125/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^4/(a^6*x^5) - 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^2/(a^4*x^6) + 121/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^3/(a^5*x^6) + 11/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b/(a^3*x^7) - 37/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/(a^4*x^7) - 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/(a^2*x^8) + 13/72*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a^3*x^8) - 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^9)","B",0
681,1,615,0,0.690585," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^11,x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{9}}{4 \, a^{9}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{10}}{4 \, a^{10}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{8}}{4 \, a^{8} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{9}}{4 \, a^{9} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{7}}{4 \, a^{9} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{8}}{4 \, a^{10} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{6}}{4 \, a^{8} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{7}}{4 \, a^{9} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{5}}{4 \, a^{7} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{6}}{4 \, a^{8} x^{4}} - \frac{125 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{4}}{504 \, a^{6} x^{5}} + \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{5}}{840 \, a^{7} x^{5}} + \frac{121 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{3}}{504 \, a^{5} x^{6}} - \frac{41 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{4}}{168 \, a^{6} x^{6}} - \frac{37 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{2}}{168 \, a^{4} x^{7}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{3}}{56 \, a^{5} x^{7}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b}{72 \, a^{3} x^{8}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{2}}{24 \, a^{4} x^{8}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{9 \, a^{2} x^{9}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{6 \, a^{3} x^{9}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{10 \, a^{2} x^{10}}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^9/a^9 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^10/a^10 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^8/(a^8*x) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^9/(a^9*x) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^7/(a^9*x^2) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^8/(a^10*x^2) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^6/(a^8*x^3) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^7/(a^9*x^3) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^5/(a^7*x^4) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^6/(a^8*x^4) - 125/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^4/(a^6*x^5) + 209/840*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^5/(a^7*x^5) + 121/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^3/(a^5*x^6) - 41/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^4/(a^6*x^6) - 37/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^2/(a^4*x^7) + 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^3/(a^5*x^7) + 13/72*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b/(a^3*x^8) - 5/24*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/(a^4*x^8) - 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/(a^2*x^9) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a^3*x^9) - 1/10*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^10)","B",0
682,1,675,0,0.653215," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^12,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{10}}{4 \, a^{10}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{11}}{4 \, a^{11}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{9}}{4 \, a^{9} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{10}}{4 \, a^{10} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{8}}{4 \, a^{10} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{9}}{4 \, a^{11} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{7}}{4 \, a^{9} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{8}}{4 \, a^{10} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{6}}{4 \, a^{8} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{7}}{4 \, a^{9} x^{4}} + \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{5}}{840 \, a^{7} x^{5}} - \frac{329 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{6}}{1320 \, a^{8} x^{5}} - \frac{41 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{4}}{168 \, a^{6} x^{6}} + \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{5}}{264 \, a^{7} x^{6}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{3}}{56 \, a^{5} x^{7}} - \frac{21 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{4}}{88 \, a^{6} x^{7}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{2}}{24 \, a^{4} x^{8}} + \frac{59 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{3}}{264 \, a^{5} x^{8}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b}{6 \, a^{3} x^{9}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{2}}{66 \, a^{4} x^{9}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{10 \, a^{2} x^{10}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{110 \, a^{3} x^{10}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{11 \, a^{2} x^{11}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^10/a^10 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^11/a^11 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^9/(a^9*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^10/(a^10*x) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^8/(a^10*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^9/(a^11*x^2) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^7/(a^9*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^8/(a^10*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^6/(a^8*x^4) + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^7/(a^9*x^4) + 209/840*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^5/(a^7*x^5) - 329/1320*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^6/(a^8*x^5) - 41/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^4/(a^6*x^6) + 65/264*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^5/(a^7*x^6) + 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^3/(a^5*x^7) - 21/88*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^4/(a^6*x^7) - 5/24*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^2/(a^4*x^8) + 59/264*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^3/(a^5*x^8) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b/(a^3*x^9) - 13/66*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/(a^4*x^9) - 1/10*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/(a^2*x^10) + 17/110*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a^3*x^10) - 1/11*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/(a^2*x^11)","B",0
683,1,481,0,0.659690," ","integrate(x^6*(B*x+A)*(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}} B x^{6}}{13 \, b^{2}} - \frac{19 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a x^{5}}{156 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A x^{5}}{12 \, b^{2}} + \frac{251 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2} x^{4}}{1716 \, b^{4}} - \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a x^{4}}{132 \, b^{3}} - \frac{68 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{3} x^{3}}{429 \, b^{5}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{2} x^{3}}{33 \, b^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{7} x}{6 \, b^{7}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{6} x}{6 \, b^{6}} + \frac{211 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{4} x^{2}}{1287 \, b^{6}} - \frac{16 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{3} x^{2}}{99 \, b^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{8}}{6 \, b^{8}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{7}}{6 \, b^{7}} - \frac{1709 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{5} x}{10296 \, b^{7}} + \frac{131 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{4} x}{792 \, b^{6}} + \frac{1715 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{6}}{10296 \, b^{8}} - \frac{923 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{5}}{5544 \, b^{7}}"," ",0,"1/13*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*x^6/b^2 - 19/156*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*x^5/b^3 + 1/12*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*x^5/b^2 + 251/1716*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2*x^4/b^4 - 17/132*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a*x^4/b^3 - 68/429*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^3*x^3/b^5 + 5/33*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^2*x^3/b^4 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^7*x/b^7 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^6*x/b^6 + 211/1287*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^4*x^2/b^6 - 16/99*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^3*x^2/b^5 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^8/b^8 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^7/b^7 - 1709/10296*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^5*x/b^7 + 131/792*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^4*x/b^6 + 1715/10296*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^6/b^8 - 923/5544*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^5/b^7","B",0
684,1,421,0,0.523513," ","integrate(x^5*(B*x+A)*(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}} B x^{5}}{12 \, b^{2}} - \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a x^{4}}{132 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A x^{4}}{11 \, b^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2} x^{3}}{33 \, b^{4}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a x^{3}}{22 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{6} x}{6 \, b^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{5} x}{6 \, b^{5}} - \frac{16 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{3} x^{2}}{99 \, b^{5}} + \frac{31 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{2} x^{2}}{198 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{7}}{6 \, b^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{6}}{6 \, b^{6}} + \frac{131 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{4} x}{792 \, b^{6}} - \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{3} x}{396 \, b^{5}} - \frac{923 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{5}}{5544 \, b^{7}} + \frac{461 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{4}}{2772 \, b^{6}}"," ",0,"1/12*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*x^5/b^2 - 17/132*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*x^4/b^3 + 1/11*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*x^4/b^2 + 5/33*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2*x^3/b^4 - 3/22*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a*x^3/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^6*x/b^6 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^5*x/b^5 - 16/99*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^3*x^2/b^5 + 31/198*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^2*x^2/b^4 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^7/b^7 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^6/b^6 + 131/792*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^4*x/b^6 - 65/396*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^3*x/b^5 - 923/5544*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^5/b^7 + 461/2772*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^4/b^6","A",0
685,1,361,0,0.596773," ","integrate(x^4*(B*x+A)*(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}} B x^{4}}{11 \, b^{2}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a x^{3}}{22 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A x^{3}}{10 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{5} x}{6 \, b^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{4} x}{6 \, b^{4}} + \frac{31 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2} x^{2}}{198 \, b^{4}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a x^{2}}{90 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{6}}{6 \, b^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{5}}{6 \, b^{5}} - \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{3} x}{396 \, b^{5}} + \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{2} x}{180 \, b^{4}} + \frac{461 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{4}}{2772 \, b^{6}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{3}}{1260 \, b^{5}}"," ",0,"1/11*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*x^4/b^2 - 3/22*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*x^3/b^3 + 1/10*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*x^3/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^5*x/b^5 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^4*x/b^4 + 31/198*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2*x^2/b^4 - 13/90*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a*x^2/b^3 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^6/b^6 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^5/b^5 - 65/396*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^3*x/b^5 + 29/180*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^2*x/b^4 + 461/2772*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^4/b^6 - 209/1260*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^3/b^5","A",0
686,1,301,0,0.754291," ","integrate(x^3*(B*x+A)*(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}} B x^{3}}{10 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{4} x}{6 \, b^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{3} x}{6 \, b^{3}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a x^{2}}{90 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A x^{2}}{9 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{5}}{6 \, b^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{4}}{6 \, b^{4}} + \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2} x}{180 \, b^{4}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a x}{72 \, b^{3}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{3}}{1260 \, b^{5}} + \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a^{2}}{504 \, b^{4}}"," ",0,"1/10*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*x^3/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^4*x/b^4 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^3*x/b^3 - 13/90*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*x^2/b^3 + 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*x^2/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^5/b^5 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^4/b^4 + 29/180*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2*x/b^4 - 11/72*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a*x/b^3 - 209/1260*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^3/b^5 + 83/504*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a^2/b^4","B",0
687,1,241,0,0.605352," ","integrate(x^2*(B*x+A)*(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}} B a^{3} x}{6 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{2} x}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B x^{2}}{9 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{4}}{6 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{3}}{6 \, b^{3}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a x}{72 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A x}{8 \, b^{2}} + \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2}}{504 \, b^{4}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A a}{56 \, b^{3}}"," ",0,"-1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3*x/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^2*x/b^2 + 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*x^2/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^4/b^4 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^3/b^3 - 11/72*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*x/b^3 + 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*x/b^2 + 83/504*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2/b^4 - 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*a/b^3","B",0
688,1,183,0,0.678471," ","integrate(x*(B*x+A)*(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}} B a^{2} x}{6 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a x}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{3}}{6 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a^{2}}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B x}{8 \, b^{2}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a}{56 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{7 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2*x/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*x/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3/b^3 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a^2/b^2 + 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*x/b^2 - 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a/b^3 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/b^2","B",0
689,1,125,0,0.518670," ","integrate((B*x+A)*(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}} A x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a x}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2}}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{7 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*x/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a/b + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/b^2","B",0
690,1,236,0,0.534801," ","integrate((B*x+A)*(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 a^{5} \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A 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 a^{3} b x + \frac{3}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{4} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a b x + \frac{7}{12} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a^{2} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B x + \frac{1}{5} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a}{6 \, b}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*A*a^5*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*A*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*a^3*b*x + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*b*x + 7/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*x + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a/b","A",0
691,1,386,0,0.593116," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^2,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} B a^{5} \log\left(2 \, b^{2} x + 2 \, a b\right) + 5 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} A a^{4} b \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B a^{5} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - 5 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A a^{4} b \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}} B a^{3} b x + \frac{5}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{2} b^{2} x + \frac{3}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{4} + \frac{15}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{3} b + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a b x + \frac{5}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{2} x + \frac{7}{12} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2} + \frac{35}{12} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a b + \frac{1}{5} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A}{x}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*B*a^5*log(2*b^2*x + 2*a*b) + 5*(-1)^(2*b^2*x + 2*a*b)*A*a^4*b*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*B*a^5*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - 5*(-1)^(2*a*b*x + 2*a^2)*A*a^4*b*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*a^3*b*x + 5/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^2*b^2*x + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^4 + 15/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^3*b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*b*x + 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^2*x + 7/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2 + 35/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*b + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B - (b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A/x","A",0
692,1,461,0,0.579789," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^3,x, algorithm=""maxima"")","5 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} B a^{4} b \log\left(2 \, b^{2} x + 2 \, a b\right) + 10 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} A a^{3} b^{2} \log\left(2 \, b^{2} x + 2 \, a b\right) - 5 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B a^{4} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - 10 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A a^{3} b^{2} \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}} B a^{2} b^{2} x + 5 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a b^{3} x + \frac{15}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{3} b + 15 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{2} b^{2} + \frac{5}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{2} x + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{3} x}{2 \, a} + \frac{35}{12} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a b + \frac{35}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{2} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{2}}{2 \, a^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{x} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b}{2 \, a x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{2 \, a^{2} x^{2}}"," ",0,"5*(-1)^(2*b^2*x + 2*a*b)*B*a^4*b*log(2*b^2*x + 2*a*b) + 10*(-1)^(2*b^2*x + 2*a*b)*A*a^3*b^2*log(2*b^2*x + 2*a*b) - 5*(-1)^(2*a*b*x + 2*a^2)*B*a^4*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - 10*(-1)^(2*a*b*x + 2*a^2)*A*a^3*b^2*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*a^2*b^2*x + 5*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a*b^3*x + 15/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^3*b + 15*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^2*b^2 + 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^2*x + 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^3*x/a + 35/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*b + 35/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^2 + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/a^2 - (b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/x - 3/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b/(a*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^2)","B",0
693,1,557,0,0.638223," ","integrate((B*x+A)*(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} B a^{3} b^{2} \log\left(2 \, b^{2} x + 2 \, a b\right) + 10 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} A 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}} B a^{3} b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - 10 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A 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 a b^{3} x + 5 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{4} x + 15 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{2} b^{2} + 15 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a b^{3} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{3} x}{2 \, a} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{4} x}{2 \, a^{2}} + \frac{35}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{2} + \frac{35 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{3}}{6 \, a} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{2}}{2 \, a^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{3}}{6 \, a^{3}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b}{2 \, a x} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{2}}{6 \, a^{2} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{2 \, a^{2} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{6 \, a^{3} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{3 \, a^{2} x^{3}}"," ",0,"10*(-1)^(2*b^2*x + 2*a*b)*B*a^3*b^2*log(2*b^2*x + 2*a*b) + 10*(-1)^(2*b^2*x + 2*a*b)*A*a^2*b^3*log(2*b^2*x + 2*a*b) - 10*(-1)^(2*a*b*x + 2*a^2)*B*a^3*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - 10*(-1)^(2*a*b*x + 2*a^2)*A*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*a*b^3*x + 5*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^4*x + 15*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^2*b^2 + 15*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a*b^3 + 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^3*x/a + 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^4*x/a^2 + 35/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^2 + 35/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^3/a + 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^2/a^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^3/a^3 - 3/2*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b/(a*x) - 11/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^2/(a^2*x) - 1/2*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^3)","B",0
694,1,615,0,0.616688," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^5,x, algorithm=""maxima"")","10 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} B a^{2} b^{3} \log\left(2 \, b^{2} x + 2 \, a b\right) + 5 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} A a b^{4} \log\left(2 \, b^{2} x + 2 \, a b\right) - 10 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B a^{2} b^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - 5 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A a b^{4} \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 b^{4} x + \frac{5 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{5} x}{2 \, a} + 15 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a b^{3} + \frac{15}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{4} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{4} x}{2 \, a^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{5} x}{4 \, a^{3}} + \frac{35 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{3}}{6 \, a} + \frac{35 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{4}}{12 \, a^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{3}}{6 \, a^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{4}}{3 \, a^{4}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{2}}{6 \, a^{2} x} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{3}}{3 \, a^{3} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{6 \, a^{3} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{2}}{3 \, a^{4} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{3 \, a^{2} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{12 \, a^{3} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{4 \, a^{2} x^{4}}"," ",0,"10*(-1)^(2*b^2*x + 2*a*b)*B*a^2*b^3*log(2*b^2*x + 2*a*b) + 5*(-1)^(2*b^2*x + 2*a*b)*A*a*b^4*log(2*b^2*x + 2*a*b) - 10*(-1)^(2*a*b*x + 2*a^2)*B*a^2*b^3*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - 5*(-1)^(2*a*b*x + 2*a^2)*A*a*b^4*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*b^4*x + 5/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^5*x/a + 15*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a*b^3 + 15/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^4 + 5/2*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^4*x/a^2 + 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^5*x/a^3 + 35/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^3/a + 35/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^4/a^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^3/a^3 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^4/a^4 - 11/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^2/(a^2*x) - 2/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^3/(a^3*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^2) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^3) + 1/12*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^4)","B",0
695,1,673,0,0.642369," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^6,x, algorithm=""maxima"")","5 \, \left(-1\right)^{2 \, b^{2} x + 2 \, a b} B a b^{4} \log\left(2 \, b^{2} x + 2 \, a b\right) + \left(-1\right)^{2 \, b^{2} x + 2 \, a b} A b^{5} \log\left(2 \, b^{2} x + 2 \, a b\right) - 5 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B a b^{4} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A b^{5} \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 b^{5} x}{2 \, a} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{6} x}{2 \, a^{2}} + \frac{15}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{4} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{5}}{2 \, a} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{5} x}{4 \, a^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{6} x}{4 \, a^{4}} + \frac{35 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{4}}{12 \, a^{2}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A b^{5}}{12 \, a^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{4}}{3 \, a^{4}} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{5}}{15 \, a^{5}} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{3}}{3 \, a^{3} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{4}}{3 \, a^{4} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{2}}{3 \, a^{4} x^{2}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{3}}{15 \, a^{5} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{12 \, a^{3} x^{3}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{2}}{60 \, a^{4} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{4 \, a^{2} x^{4}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{20 \, a^{3} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{5 \, a^{2} x^{5}}"," ",0,"5*(-1)^(2*b^2*x + 2*a*b)*B*a*b^4*log(2*b^2*x + 2*a*b) + (-1)^(2*b^2*x + 2*a*b)*A*b^5*log(2*b^2*x + 2*a*b) - 5*(-1)^(2*a*b*x + 2*a^2)*B*a*b^4*log(2*a*b*x/abs(x) + 2*a^2/abs(x)) - (-1)^(2*a*b*x + 2*a^2)*A*b^5*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*b^5*x/a + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^6*x/a^2 + 15/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^4 + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^5/a + 5/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^5*x/a^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^6*x/a^4 + 35/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^4/a^2 + 7/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*b^5/a^3 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^4/a^4 - 2/15*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^5/a^5 - 2/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^3/(a^3*x) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^4/(a^4*x) - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^2/(a^4*x^2) + 2/15*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^3/(a^5*x^2) + 1/12*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^3) - 11/60*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^3) - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^4) + 3/20*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^4) - 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^5)","B",0
696,1,554,0,0.571306," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^7,x, algorithm=""maxima"")","\left(-1\right)^{2 \, b^{2} x + 2 \, a b} B b^{5} \log\left(2 \, b^{2} x + 2 \, a b\right) - \left(-1\right)^{2 \, a b x + 2 \, a^{2}} B 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 b^{6} x}{2 \, a^{2}} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{5}}{2 \, a} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{6} x}{4 \, a^{4}} + \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B b^{5}}{12 \, a^{3}} - \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{5}}{15 \, a^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{6}}{6 \, a^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{4}}{3 \, a^{4} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{5}}{6 \, a^{5} x} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{3}}{15 \, a^{5} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{4}}{6 \, a^{6} x^{2}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{2}}{60 \, a^{4} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{3}}{6 \, a^{5} x^{3}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{20 \, a^{3} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{2}}{6 \, a^{4} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{5 \, a^{2} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{6 \, a^{3} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{6 \, a^{2} x^{6}}"," ",0,"(-1)^(2*b^2*x + 2*a*b)*B*b^5*log(2*b^2*x + 2*a*b) - (-1)^(2*a*b*x + 2*a^2)*B*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*b^6*x/a^2 + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^5/a + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^6*x/a^4 + 7/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*b^5/a^3 - 2/15*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^5/a^5 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^6/a^6 - 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^4/(a^4*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^5/(a^5*x) + 2/15*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^3/(a^5*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^4/(a^6*x^2) - 11/60*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^2/(a^4*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^3/(a^5*x^3) + 3/20*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^4) - 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^6)","B",0
697,1,435,0,0.577646," ","integrate((B*x+A)*(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 b^{6}}{6 \, a^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{7}}{6 \, a^{7}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{5}}{6 \, a^{5} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{6}}{6 \, a^{6} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{4}}{6 \, a^{6} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{5}}{6 \, a^{7} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{3}}{6 \, a^{5} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{4}}{6 \, a^{6} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{2}}{6 \, a^{4} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{3}}{6 \, a^{5} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{6 \, a^{3} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A 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^{2} x^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{6 \, a^{3} x^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{7 \, a^{2} x^{7}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^6/a^6 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^7/a^7 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^5/(a^5*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^6/(a^6*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^4/(a^6*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^5/(a^7*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^3/(a^5*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^4/(a^6*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^2/(a^4*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^3/(a^5*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^6) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^6) - 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^7)","B",0
698,1,495,0,0.631806," ","integrate((B*x+A)*(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 b^{7}}{6 \, a^{7}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{8}}{6 \, a^{8}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{6}}{6 \, a^{6} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{7}}{6 \, a^{7} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{5}}{6 \, a^{7} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{6}}{6 \, a^{8} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{4}}{6 \, a^{6} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{5}}{6 \, a^{7} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{3}}{6 \, a^{5} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{4}}{6 \, a^{6} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{2}}{6 \, a^{4} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{3}}{6 \, a^{5} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{6 \, a^{3} x^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{2}}{6 \, a^{4} x^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{7 \, a^{2} x^{7}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{56 \, a^{3} x^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{8 \, a^{2} x^{8}}"," ",0,"-1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^7/a^7 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^8/a^8 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^6/(a^6*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^7/(a^7*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^5/(a^7*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^6/(a^8*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^4/(a^6*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^5/(a^7*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^3/(a^5*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^4/(a^6*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^2/(a^4*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^3/(a^5*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^6) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^6) - 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^7) + 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^7) - 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^8)","B",0
699,1,555,0,0.735199," ","integrate((B*x+A)*(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 b^{8}}{6 \, a^{8}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{9}}{6 \, a^{9}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{7}}{6 \, a^{7} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{8}}{6 \, a^{8} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{6}}{6 \, a^{8} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{7}}{6 \, a^{9} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{5}}{6 \, a^{7} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{6}}{6 \, a^{8} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{4}}{6 \, a^{6} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{5}}{6 \, a^{7} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{3}}{6 \, a^{5} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{4}}{6 \, a^{6} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{2}}{6 \, a^{4} x^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{3}}{6 \, a^{5} x^{6}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{56 \, a^{3} x^{7}} - \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{2}}{504 \, a^{4} x^{7}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{8 \, a^{2} x^{8}} + \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{72 \, a^{3} x^{8}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{9 \, a^{2} x^{9}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^8/a^8 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^9/a^9 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^7/(a^7*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^8/(a^8*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^6/(a^8*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^7/(a^9*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^5/(a^7*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^6/(a^8*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^4/(a^6*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^5/(a^7*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^3/(a^5*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^4/(a^6*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^2/(a^4*x^6) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^3/(a^5*x^6) + 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^7) - 83/504*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^7) - 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^8) + 11/72*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^8) - 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^9)","B",0
700,1,615,0,0.661096," ","integrate((B*x+A)*(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 b^{9}}{6 \, a^{9}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{10}}{6 \, a^{10}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{8}}{6 \, a^{8} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{9}}{6 \, a^{9} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{7}}{6 \, a^{9} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{8}}{6 \, a^{10} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{6}}{6 \, a^{8} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{7}}{6 \, a^{9} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{5}}{6 \, a^{7} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{6}}{6 \, a^{8} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{4}}{6 \, a^{6} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{5}}{6 \, a^{7} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{3}}{6 \, a^{5} x^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{4}}{6 \, a^{6} x^{6}} - \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{2}}{504 \, a^{4} x^{7}} + \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{3}}{1260 \, a^{5} x^{7}} + \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{72 \, a^{3} x^{8}} - \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{2}}{180 \, a^{4} x^{8}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{9 \, a^{2} x^{9}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{90 \, a^{3} x^{9}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{10 \, a^{2} x^{10}}"," ",0,"-1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^9/a^9 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^10/a^10 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^8/(a^8*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^9/(a^9*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^7/(a^9*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^8/(a^10*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^6/(a^8*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^7/(a^9*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^5/(a^7*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^6/(a^8*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^4/(a^6*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^5/(a^7*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^3/(a^5*x^6) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^4/(a^6*x^6) - 83/504*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^2/(a^4*x^7) + 209/1260*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^3/(a^5*x^7) + 11/72*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^8) - 29/180*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^8) - 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^9) + 13/90*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^9) - 1/10*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^10)","B",0
701,1,675,0,0.735592," ","integrate((B*x+A)*(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 b^{10}}{6 \, a^{10}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{11}}{6 \, a^{11}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{9}}{6 \, a^{9} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{10}}{6 \, a^{10} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{8}}{6 \, a^{10} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{9}}{6 \, a^{11} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{7}}{6 \, a^{9} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{8}}{6 \, a^{10} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{6}}{6 \, a^{8} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{7}}{6 \, a^{9} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{5}}{6 \, a^{7} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{6}}{6 \, a^{8} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{4}}{6 \, a^{6} x^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{5}}{6 \, a^{7} x^{6}} + \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{3}}{1260 \, a^{5} x^{7}} - \frac{461 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{4}}{2772 \, a^{6} x^{7}} - \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{2}}{180 \, a^{4} x^{8}} + \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{3}}{396 \, a^{5} x^{8}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{90 \, a^{3} x^{9}} - \frac{31 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{2}}{198 \, a^{4} x^{9}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{10 \, a^{2} x^{10}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{22 \, a^{3} x^{10}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{11 \, a^{2} x^{11}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^10/a^10 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^11/a^11 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^9/(a^9*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^10/(a^10*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^8/(a^10*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^9/(a^11*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^7/(a^9*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^8/(a^10*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^6/(a^8*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^7/(a^9*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^5/(a^7*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^6/(a^8*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^4/(a^6*x^6) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^5/(a^7*x^6) + 209/1260*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^3/(a^5*x^7) - 461/2772*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^4/(a^6*x^7) - 29/180*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^2/(a^4*x^8) + 65/396*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^3/(a^5*x^8) + 13/90*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^9) - 31/198*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^9) - 1/10*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^10) + 3/22*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^10) - 1/11*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^11)","B",0
702,1,735,0,0.831648," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^13,x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{11}}{6 \, a^{11}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{12}}{6 \, a^{12}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{10}}{6 \, a^{10} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{11}}{6 \, a^{11} x} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{9}}{6 \, a^{11} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{10}}{6 \, a^{12} x^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{8}}{6 \, a^{10} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{9}}{6 \, a^{11} x^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{7}}{6 \, a^{9} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{8}}{6 \, a^{10} x^{4}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{6}}{6 \, a^{8} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{7}}{6 \, a^{9} x^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{5}}{6 \, a^{7} x^{6}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{6}}{6 \, a^{8} x^{6}} - \frac{461 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{4}}{2772 \, a^{6} x^{7}} + \frac{923 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{5}}{5544 \, a^{7} x^{7}} + \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{3}}{396 \, a^{5} x^{8}} - \frac{131 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{4}}{792 \, a^{6} x^{8}} - \frac{31 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{2}}{198 \, a^{4} x^{9}} + \frac{16 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{3}}{99 \, a^{5} x^{9}} + \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{22 \, a^{3} x^{10}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{2}}{33 \, a^{4} x^{10}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{11 \, a^{2} x^{11}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{132 \, a^{3} x^{11}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{12 \, a^{2} x^{12}}"," ",0,"-1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^11/a^11 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^12/a^12 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^10/(a^10*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^11/(a^11*x) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^9/(a^11*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^10/(a^12*x^2) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^8/(a^10*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^9/(a^11*x^3) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^7/(a^9*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^8/(a^10*x^4) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^6/(a^8*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^7/(a^9*x^5) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^5/(a^7*x^6) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^6/(a^8*x^6) - 461/2772*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^4/(a^6*x^7) + 923/5544*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^5/(a^7*x^7) + 65/396*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^3/(a^5*x^8) - 131/792*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^4/(a^6*x^8) - 31/198*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^2/(a^4*x^9) + 16/99*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^3/(a^5*x^9) + 3/22*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^10) - 5/33*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^10) - 1/11*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^11) + 17/132*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^11) - 1/12*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^12)","B",0
703,1,795,0,0.743176," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^14,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{12}}{6 \, a^{12}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{13}}{6 \, a^{13}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B b^{11}}{6 \, a^{11} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A b^{12}}{6 \, a^{12} x} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{10}}{6 \, a^{12} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{11}}{6 \, a^{13} x^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{9}}{6 \, a^{11} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{10}}{6 \, a^{12} x^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{8}}{6 \, a^{10} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{9}}{6 \, a^{11} x^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{7}}{6 \, a^{9} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{8}}{6 \, a^{10} x^{5}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{6}}{6 \, a^{8} x^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{7}}{6 \, a^{9} x^{6}} + \frac{923 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{5}}{5544 \, a^{7} x^{7}} - \frac{1715 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{6}}{10296 \, a^{8} x^{7}} - \frac{131 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{4}}{792 \, a^{6} x^{8}} + \frac{1709 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{5}}{10296 \, a^{7} x^{8}} + \frac{16 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{3}}{99 \, a^{5} x^{9}} - \frac{211 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{4}}{1287 \, a^{6} x^{9}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b^{2}}{33 \, a^{4} x^{10}} + \frac{68 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{3}}{429 \, a^{5} x^{10}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B b}{132 \, a^{3} x^{11}} - \frac{251 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b^{2}}{1716 \, a^{4} x^{11}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{12 \, a^{2} x^{12}} + \frac{19 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A b}{156 \, a^{3} x^{12}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} A}{13 \, a^{2} x^{13}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^12/a^12 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^13/a^13 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*b^11/(a^11*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*b^12/(a^12*x) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^10/(a^12*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^11/(a^13*x^2) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^9/(a^11*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^10/(a^12*x^3) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^8/(a^10*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^9/(a^11*x^4) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^7/(a^9*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^8/(a^10*x^5) - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^6/(a^8*x^6) + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^7/(a^9*x^6) + 923/5544*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^5/(a^7*x^7) - 1715/10296*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^6/(a^8*x^7) - 131/792*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^4/(a^6*x^8) + 1709/10296*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^5/(a^7*x^8) + 16/99*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^3/(a^5*x^9) - 211/1287*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^4/(a^6*x^9) - 5/33*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b^2/(a^4*x^10) + 68/429*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^3/(a^5*x^10) + 17/132*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*b/(a^3*x^11) - 251/1716*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b^2/(a^4*x^11) - 1/12*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/(a^2*x^12) + 19/156*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A*b/(a^3*x^12) - 1/13*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*A/(a^2*x^13)","B",0
704,1,272,0,0.569236," ","integrate(x^4*(B*x+A)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B x^{4}}{5 \, b^{2}} - \frac{9 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a x^{3}}{20 \, b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A x^{3}}{4 \, b^{2}} - \frac{77 \, B a^{3} x^{2}}{60 \, b^{4}} + \frac{13 \, A a^{2} x^{2}}{12 \, b^{3}} + \frac{47 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{2} x^{2}}{60 \, b^{4}} - \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a x^{2}}{12 \, b^{3}} + \frac{77 \, B a^{4} x}{30 \, b^{5}} - \frac{13 \, A a^{3} x}{6 \, b^{4}} - \frac{B a^{5} \log\left(x + \frac{a}{b}\right)}{b^{6}} + \frac{A a^{4} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{47 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{4}}{30 \, b^{6}} + \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{3}}{6 \, b^{5}}"," ",0,"1/5*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*x^4/b^2 - 9/20*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a*x^3/b^3 + 1/4*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*x^3/b^2 - 77/60*B*a^3*x^2/b^4 + 13/12*A*a^2*x^2/b^3 + 47/60*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^2*x^2/b^4 - 7/12*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a*x^2/b^3 + 77/30*B*a^4*x/b^5 - 13/6*A*a^3*x/b^4 - B*a^5*log(x + a/b)/b^6 + A*a^4*log(x + a/b)/b^5 - 47/30*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^4/b^6 + 7/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^3/b^5","A",0
705,1,212,0,0.747514," ","integrate(x^3*(B*x+A)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B x^{3}}{4 \, b^{2}} + \frac{13 \, B a^{2} x^{2}}{12 \, b^{3}} - \frac{5 \, A a x^{2}}{6 \, b^{2}} - \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a x^{2}}{12 \, b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A x^{2}}{3 \, b^{2}} - \frac{13 \, B a^{3} x}{6 \, b^{4}} + \frac{5 \, A a^{2} x}{3 \, b^{3}} + \frac{B a^{4} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{A a^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{3}}{6 \, b^{5}} - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a^{2}}{3 \, b^{4}}"," ",0,"1/4*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*x^3/b^2 + 13/12*B*a^2*x^2/b^3 - 5/6*A*a*x^2/b^2 - 7/12*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a*x^2/b^3 + 1/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*x^2/b^2 - 13/6*B*a^3*x/b^4 + 5/3*A*a^2*x/b^3 + B*a^4*log(x + a/b)/b^5 - A*a^3*log(x + a/b)/b^4 + 7/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^3/b^5 - 2/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a^2/b^4","A",0
706,1,125,0,0.536884," ","integrate(x^2*(B*x+A)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{5 \, B a x^{2}}{6 \, b^{2}} + \frac{A x^{2}}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B x^{2}}{3 \, b^{2}} + \frac{5 \, B a^{2} x}{3 \, b^{3}} - \frac{A a x}{b^{2}} - \frac{B a^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{A a^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{2}}{3 \, b^{4}}"," ",0,"-5/6*B*a*x^2/b^2 + 1/2*A*x^2/b + 1/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*x^2/b^2 + 5/3*B*a^2*x/b^3 - A*a*x/b^2 - B*a^3*log(x + a/b)/b^4 + A*a^2*log(x + a/b)/b^3 - 2/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^2/b^4","A",0
707,1,72,0,0.758955," ","integrate(x*(B*x+A)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{B x^{2}}{2 \, b} - \frac{B a x}{b^{2}} + \frac{B a^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{A a \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A}{b^{2}}"," ",0,"1/2*B*x^2/b - B*a*x/b^2 + B*a^2*log(x + a/b)/b^3 - A*a*log(x + a/b)/b^2 + sqrt(b^2*x^2 + 2*a*b*x + a^2)*A/b^2","A",0
708,1,52,0,0.607751," ","integrate((B*x+A)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{B a \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{A \log\left(x + \frac{a}{b}\right)}{b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B}{b^{2}}"," ",0,"-B*a*log(x + a/b)/b^2 + A*log(x + a/b)/b + sqrt(b^2*x^2 + 2*a*b*x + a^2)*B/b^2","A",0
709,1,53,0,0.557755," ","integrate((B*x+A)/x/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\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)}{a} + \frac{B \log\left(x + \frac{a}{b}\right)}{b}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*A*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a + B*log(x + a/b)/b","A",0
710,1,106,0,0.511566," ","integrate((B*x+A)/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} + \frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} A 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}{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 + (-1)^(2*a*b*x + 2*a^2)*A*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/(a^2*x)","A",0
711,1,164,0,0.592976," ","integrate((B*x+A)/x^3/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} B b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{2}} - \frac{\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)}{a^{3}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B}{a^{2} x} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b}{2 \, a^{3} x} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A}{2 \, a^{2} x^{2}}"," ",0,"(-1)^(2*a*b*x + 2*a^2)*B*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^2 - (-1)^(2*a*b*x + 2*a^2)*A*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^3 - sqrt(b^2*x^2 + 2*a*b*x + a^2)*B/(a^2*x) + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b/(a^3*x) - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A/(a^2*x^2)","A",0
712,1,224,0,0.666939," ","integrate((B*x+A)/x^4/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} B b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{3}} + \frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} A b^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{4}} + \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b}{2 \, a^{3} x} - \frac{11 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{2}}{6 \, a^{4} x} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B}{2 \, a^{2} x^{2}} + \frac{5 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b}{6 \, a^{3} x^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A}{3 \, a^{2} x^{3}}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*B*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^3 + (-1)^(2*a*b*x + 2*a^2)*A*b^3*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^4 + 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b/(a^3*x) - 11/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^2/(a^4*x) - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B/(a^2*x^2) + 5/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b/(a^3*x^2) - 1/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A/(a^2*x^3)","A",0
713,1,284,0,0.538765," ","integrate((B*x+A)/x^5/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(-1\right)^{2 \, a b x + 2 \, a^{2}} B b^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{4}} - \frac{\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)}{a^{5}} - \frac{11 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b^{2}}{6 \, a^{4} x} + \frac{25 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{3}}{12 \, a^{5} x} + \frac{5 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B b}{6 \, a^{3} x^{2}} - \frac{13 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b^{2}}{12 \, a^{4} x^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B}{3 \, a^{2} x^{3}} + \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A b}{12 \, a^{3} x^{3}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A}{4 \, a^{2} x^{4}}"," ",0,"(-1)^(2*a*b*x + 2*a^2)*B*b^3*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^4 - (-1)^(2*a*b*x + 2*a^2)*A*b^4*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^5 - 11/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b^2/(a^4*x) + 25/12*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^3/(a^5*x) + 5/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*b/(a^3*x^2) - 13/12*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b^2/(a^4*x^2) - 1/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B/(a^2*x^3) + 7/12*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*b/(a^3*x^3) - 1/4*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A/(a^2*x^4)","A",0
714,1,303,0,0.588522," ","integrate(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{B x^{4}}{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{7 \, B a x^{3}}{6 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} + \frac{A x^{3}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{9 \, B a^{2} x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{5 \, A a x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} - \frac{10 \, B a^{3} \log\left(x + \frac{a}{b}\right)}{b^{6}} + \frac{6 \, A a^{2} \log\left(x + \frac{a}{b}\right)}{b^{5}} + \frac{9 \, B a^{4}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{6}} - \frac{5 \, A a^{3}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}} - \frac{20 \, B a^{4} x}{b^{7} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{12 \, A a^{3} x}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{39 \, B a^{5}}{2 \, b^{8} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{23 \, A a^{4}}{2 \, b^{7} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"1/3*B*x^4/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 7/6*B*a*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) + 1/2*A*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 9/2*B*a^2*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - 5/2*A*a*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) - 10*B*a^3*log(x + a/b)/b^6 + 6*A*a^2*log(x + a/b)/b^5 + 9*B*a^4/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^6) - 5*A*a^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5) - 20*B*a^4*x/(b^7*(x + a/b)^2) + 12*A*a^3*x/(b^6*(x + a/b)^2) - 39/2*B*a^5/(b^8*(x + a/b)^2) + 23/2*A*a^4/(b^7*(x + a/b)^2)","A",0
715,1,242,0,0.512165," ","integrate(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{B x^{3}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{5 \, B a x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} + \frac{A x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{6 \, B a^{2} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{3 \, A a \log\left(x + \frac{a}{b}\right)}{b^{4}} - \frac{5 \, B a^{3}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}} + \frac{2 \, A a^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} + \frac{12 \, B a^{3} x}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{6 \, A a^{2} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{23 \, B a^{4}}{2 \, b^{7} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, A a^{3}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"1/2*B*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 5/2*B*a*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) + A*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 6*B*a^2*log(x + a/b)/b^5 - 3*A*a*log(x + a/b)/b^4 - 5*B*a^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5) + 2*A*a^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) + 12*B*a^3*x/(b^6*(x + a/b)^2) - 6*A*a^2*x/(b^5*(x + a/b)^2) + 23/2*B*a^4/(b^7*(x + a/b)^2) - 11/2*A*a^3/(b^6*(x + a/b)^2)","A",0
716,1,154,0,0.532297," ","integrate(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{B x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{3 \, B a \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{A \log\left(x + \frac{a}{b}\right)}{b^{3}} + \frac{2 \, B a^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{6 \, B a^{2} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, A a x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, B a^{3}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, A a^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"B*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 3*B*a*log(x + a/b)/b^4 + A*log(x + a/b)/b^3 + 2*B*a^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - 6*B*a^2*x/(b^5*(x + a/b)^2) + 2*A*a*x/(b^4*(x + a/b)^2) - 11/2*B*a^3/(b^6*(x + a/b)^2) + 3/2*A*a^2/(b^5*(x + a/b)^2)","A",0
717,1,89,0,0.500762," ","integrate(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{B \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{A}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{2 \, B a x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, B a^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{A a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"B*log(x + a/b)/b^3 - A/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 2*B*a*x/(b^4*(x + a/b)^2) + 3/2*B*a^2/(b^5*(x + a/b)^2) + 1/2*A*a/(b^4*(x + a/b)^2)","A",0
718,1,56,0,0.457801," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{B}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{B a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{A}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-B/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 1/2*B*a/(b^4*(x + a/b)^2) - 1/2*A/(b^3*(x + a/b)^2)","A",0
719,1,96,0,0.472526," ","integrate((B*x+A)/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}} A \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{3}} + \frac{A}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}} - \frac{B}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{A}{2 \, a b^{2} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*A*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^3 + A/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2) - 1/2*B/(b^3*(x + a/b)^2) + 1/2*A/(a*b^2*(x + a/b)^2)","A",0
720,1,191,0,0.521188," ","integrate((B*x+A)/x^2/(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}} B \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{3}} + \frac{3 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{4}} + \frac{B}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}} - \frac{3 \, A b}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}} - \frac{A}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x} + \frac{B}{2 \, a b^{2} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{A}{2 \, a^{2} b {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*B*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^3 + 3*(-1)^(2*a*b*x + 2*a^2)*A*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^4 + B/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2) - 3*A*b/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3) - A/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x) + 1/2*B/(a*b^2*(x + a/b)^2) - 1/2*A/(a^2*b*(x + a/b)^2)","A",0
721,1,250,0,0.487353," ","integrate((B*x+A)/x^3/(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 b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{4}} - \frac{6 \, \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)}{a^{5}} - \frac{3 \, B b}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}} + \frac{6 \, A b^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}} - \frac{B}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x} + \frac{5 \, A b}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} x} - \frac{A}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x^{2}} + \frac{A}{2 \, a^{3} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{B}{2 \, a^{2} b {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"3*(-1)^(2*a*b*x + 2*a^2)*B*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^4 - 6*(-1)^(2*a*b*x + 2*a^2)*A*b^2*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^5 - 3*B*b/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3) + 6*A*b^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4) - B/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x) + 5/2*A*b/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*x) - 1/2*A/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x^2) + 1/2*A/(a^3*(x + a/b)^2) - 1/2*B/(a^2*b*(x + a/b)^2)","A",0
722,1,211,0,0.787601," ","integrate(x^4*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{12} \, B {\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{1}{12} \, A {\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)}"," ",0,"1/12*B*((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) + 1/12*A*((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)","A",0
723,1,201,0,0.651735," ","integrate(x^3*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{12} \, B {\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}{12} \, A {\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)}"," ",0,"1/12*B*((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) - 1/12*A*(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))","A",0
724,1,156,0,0.516721," ","integrate(x^2*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{B x^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{2 \, B a^{2}}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}} - \frac{B a}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{A}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, B a^{2}}{3 \, b^{7} {\left(x + \frac{a}{b}\right)}^{3}} + \frac{2 \, A a}{3 \, b^{6} {\left(x + \frac{a}{b}\right)}^{3}} + \frac{B a^{3}}{4 \, b^{8} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{A a^{2}}{4 \, b^{7} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-B*x^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 2/3*B*a^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4) - 1/2*B*a/(b^6*(x + a/b)^2) - 1/2*A/(b^5*(x + a/b)^2) + 2/3*B*a^2/(b^7*(x + a/b)^3) + 2/3*A*a/(b^6*(x + a/b)^3) + 1/4*B*a^3/(b^8*(x + a/b)^4) - 1/4*A*a^2/(b^7*(x + a/b)^4)","B",0
725,1,90,0,0.551204," ","integrate(x*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{A}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{B}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, B a}{3 \, b^{6} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{B a^{2}}{4 \, b^{7} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{A a}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/3*A/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 1/2*B/(b^5*(x + a/b)^2) + 2/3*B*a/(b^6*(x + a/b)^3) - 1/4*B*a^2/(b^7*(x + a/b)^4) + 1/4*A*a/(b^6*(x + a/b)^4)","A",0
726,1,56,0,0.519041," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{B}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} + \frac{B a}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{A}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/3*B/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) + 1/4*B*a/(b^6*(x + a/b)^4) - 1/4*A/(b^5*(x + a/b)^4)","A",0
727,1,138,0,0.485963," ","integrate((B*x+A)/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}} A \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{5}} + \frac{A}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}} + \frac{A}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}} + \frac{A}{2 \, a^{3} b^{2} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{B}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{A}{4 \, a b^{4} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*A*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^5 + 1/3*A/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2) + A/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4) + 1/2*A/(a^3*b^2*(x + a/b)^2) - 1/4*B/(b^5*(x + a/b)^4) + 1/4*A/(a*b^4*(x + a/b)^4)","A",0
728,1,276,0,0.465216," ","integrate((B*x+A)/x^2/(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}} B \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{5}} + \frac{5 \, \left(-1\right)^{2 \, a b x + 2 \, a^{2}} A b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{{\left| x \right|}}\right)}{a^{6}} + \frac{B}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}} - \frac{5 \, A b}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}} + \frac{B}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}} - \frac{5 \, A b}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5}} - \frac{A}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x} + \frac{B}{2 \, a^{3} b^{2} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{5 \, A}{2 \, a^{4} b {\left(x + \frac{a}{b}\right)}^{2}} + \frac{B}{4 \, a b^{4} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{A}{4 \, a^{2} b^{3} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-(-1)^(2*a*b*x + 2*a^2)*B*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^5 + 5*(-1)^(2*a*b*x + 2*a^2)*A*b*log(2*a*b*x/abs(x) + 2*a^2/abs(x))/a^6 + 1/3*B/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2) - 5/3*A*b/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3) + B/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4) - 5*A*b/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5) - A/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x) + 1/2*B/(a^3*b^2*(x + a/b)^2) - 5/2*A/(a^4*b*(x + a/b)^2) + 1/4*B/(a*b^4*(x + a/b)^4) - 1/4*A/(a^2*b^3*(x + a/b)^4)","A",0
729,1,51,0,0.586042," ","integrate(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2}{15} \, B b^{2} x^{\frac{15}{2}} + \frac{2}{9} \, A a^{2} x^{\frac{9}{2}} + \frac{2}{13} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{11}{2}}"," ",0,"2/15*B*b^2*x^(15/2) + 2/9*A*a^2*x^(9/2) + 2/13*(2*B*a*b + A*b^2)*x^(13/2) + 2/11*(B*a^2 + 2*A*a*b)*x^(11/2)","A",0
730,1,51,0,0.569804," ","integrate(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2}{13} \, B b^{2} x^{\frac{13}{2}} + \frac{2}{7} \, A a^{2} x^{\frac{7}{2}} + \frac{2}{11} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{9}{2}}"," ",0,"2/13*B*b^2*x^(13/2) + 2/7*A*a^2*x^(7/2) + 2/11*(2*B*a*b + A*b^2)*x^(11/2) + 2/9*(B*a^2 + 2*A*a*b)*x^(9/2)","A",0
731,1,51,0,0.526235," ","integrate(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2}{11} \, B b^{2} x^{\frac{11}{2}} + \frac{2}{5} \, A a^{2} x^{\frac{5}{2}} + \frac{2}{9} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{7}{2}}"," ",0,"2/11*B*b^2*x^(11/2) + 2/5*A*a^2*x^(5/2) + 2/9*(2*B*a*b + A*b^2)*x^(9/2) + 2/7*(B*a^2 + 2*A*a*b)*x^(7/2)","A",0
732,1,51,0,0.553225," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, B b^{2} x^{\frac{9}{2}} + \frac{2}{3} \, A a^{2} x^{\frac{3}{2}} + \frac{2}{7} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{5}{2}}"," ",0,"2/9*B*b^2*x^(9/2) + 2/3*A*a^2*x^(3/2) + 2/7*(2*B*a*b + A*b^2)*x^(7/2) + 2/5*(B*a^2 + 2*A*a*b)*x^(5/2)","A",0
733,1,51,0,0.477660," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{7} \, B b^{2} x^{\frac{7}{2}} + 2 \, A a^{2} \sqrt{x} + \frac{2}{5} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{3}{2}}"," ",0,"2/7*B*b^2*x^(7/2) + 2*A*a^2*sqrt(x) + 2/5*(2*B*a*b + A*b^2)*x^(5/2) + 2/3*(B*a^2 + 2*A*a*b)*x^(3/2)","A",0
734,1,51,0,0.516922," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, B b^{2} x^{\frac{5}{2}} - \frac{2 \, A a^{2}}{\sqrt{x}} + \frac{2}{3} \, {\left(2 \, B a b + A b^{2}\right)} x^{\frac{3}{2}} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} \sqrt{x}"," ",0,"2/5*B*b^2*x^(5/2) - 2*A*a^2/sqrt(x) + 2/3*(2*B*a*b + A*b^2)*x^(3/2) + 2*(B*a^2 + 2*A*a*b)*sqrt(x)","A",0
735,1,51,0,0.525148," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{3} \, B b^{2} x^{\frac{3}{2}} + 2 \, {\left(2 \, B a b + A b^{2}\right)} \sqrt{x} - \frac{2 \, {\left(A a^{2} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} x\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*B*b^2*x^(3/2) + 2*(2*B*a*b + A*b^2)*sqrt(x) - 2/3*(A*a^2 + 3*(B*a^2 + 2*A*a*b)*x)/x^(3/2)","A",0
736,1,52,0,0.505668," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(7/2),x, algorithm=""maxima"")","2 \, B b^{2} \sqrt{x} - \frac{2 \, {\left(3 \, A a^{2} + 15 \, {\left(2 \, B a b + A b^{2}\right)} x^{2} + 5 \, {\left(B a^{2} + 2 \, A a b\right)} x\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2*B*b^2*sqrt(x) - 2/15*(3*A*a^2 + 15*(2*B*a*b + A*b^2)*x^2 + 5*(B*a^2 + 2*A*a*b)*x)/x^(5/2)","A",0
737,1,51,0,0.542165," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/x^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(105 \, B b^{2} x^{3} + 15 \, A a^{2} + 35 \, {\left(2 \, B a b + A b^{2}\right)} x^{2} + 21 \, {\left(B a^{2} + 2 \, A a b\right)} x\right)}}{105 \, x^{\frac{7}{2}}}"," ",0,"-2/105*(105*B*b^2*x^3 + 15*A*a^2 + 35*(2*B*a*b + A*b^2)*x^2 + 21*(B*a^2 + 2*A*a*b)*x)/x^(7/2)","A",0
738,1,99,0,0.602188," ","integrate(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2}{19} \, B b^{4} x^{\frac{19}{2}} + \frac{2}{9} \, A a^{4} x^{\frac{9}{2}} + \frac{2}{17} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{\frac{17}{2}} + \frac{4}{15} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{\frac{15}{2}} + \frac{4}{13} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{\frac{11}{2}}"," ",0,"2/19*B*b^4*x^(19/2) + 2/9*A*a^4*x^(9/2) + 2/17*(4*B*a*b^3 + A*b^4)*x^(17/2) + 4/15*(3*B*a^2*b^2 + 2*A*a*b^3)*x^(15/2) + 4/13*(2*B*a^3*b + 3*A*a^2*b^2)*x^(13/2) + 2/11*(B*a^4 + 4*A*a^3*b)*x^(11/2)","A",0
739,1,99,0,0.591520," ","integrate(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2}{17} \, B b^{4} x^{\frac{17}{2}} + \frac{2}{7} \, A a^{4} x^{\frac{7}{2}} + \frac{2}{15} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{\frac{15}{2}} + \frac{4}{13} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{\frac{13}{2}} + \frac{4}{11} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{\frac{9}{2}}"," ",0,"2/17*B*b^4*x^(17/2) + 2/7*A*a^4*x^(7/2) + 2/15*(4*B*a*b^3 + A*b^4)*x^(15/2) + 4/13*(3*B*a^2*b^2 + 2*A*a*b^3)*x^(13/2) + 4/11*(2*B*a^3*b + 3*A*a^2*b^2)*x^(11/2) + 2/9*(B*a^4 + 4*A*a^3*b)*x^(9/2)","A",0
740,1,99,0,0.496799," ","integrate(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2}{15} \, B b^{4} x^{\frac{15}{2}} + \frac{2}{5} \, A a^{4} x^{\frac{5}{2}} + \frac{2}{13} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{\frac{13}{2}} + \frac{4}{11} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{\frac{11}{2}} + \frac{4}{9} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{\frac{7}{2}}"," ",0,"2/15*B*b^4*x^(15/2) + 2/5*A*a^4*x^(5/2) + 2/13*(4*B*a*b^3 + A*b^4)*x^(13/2) + 4/11*(3*B*a^2*b^2 + 2*A*a*b^3)*x^(11/2) + 4/9*(2*B*a^3*b + 3*A*a^2*b^2)*x^(9/2) + 2/7*(B*a^4 + 4*A*a^3*b)*x^(7/2)","A",0
741,1,99,0,0.555690," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{13} \, B b^{4} x^{\frac{13}{2}} + \frac{2}{3} \, A a^{4} x^{\frac{3}{2}} + \frac{2}{11} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{\frac{11}{2}} + \frac{4}{9} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{\frac{9}{2}} + \frac{4}{7} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{\frac{5}{2}}"," ",0,"2/13*B*b^4*x^(13/2) + 2/3*A*a^4*x^(3/2) + 2/11*(4*B*a*b^3 + A*b^4)*x^(11/2) + 4/9*(3*B*a^2*b^2 + 2*A*a*b^3)*x^(9/2) + 4/7*(2*B*a^3*b + 3*A*a^2*b^2)*x^(7/2) + 2/5*(B*a^4 + 4*A*a^3*b)*x^(5/2)","A",0
742,1,99,0,0.474125," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(1/2),x, algorithm=""maxima"")","\frac{2}{11} \, B b^{4} x^{\frac{11}{2}} + 2 \, A a^{4} \sqrt{x} + \frac{2}{9} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{\frac{9}{2}} + \frac{4}{7} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{\frac{7}{2}} + \frac{4}{5} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{\frac{3}{2}}"," ",0,"2/11*B*b^4*x^(11/2) + 2*A*a^4*sqrt(x) + 2/9*(4*B*a*b^3 + A*b^4)*x^(9/2) + 4/7*(3*B*a^2*b^2 + 2*A*a*b^3)*x^(7/2) + 4/5*(2*B*a^3*b + 3*A*a^2*b^2)*x^(5/2) + 2/3*(B*a^4 + 4*A*a^3*b)*x^(3/2)","A",0
743,1,99,0,0.615535," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(3/2),x, algorithm=""maxima"")","\frac{2}{9} \, B b^{4} x^{\frac{9}{2}} - \frac{2 \, A a^{4}}{\sqrt{x}} + \frac{2}{7} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{\frac{7}{2}} + \frac{4}{5} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{\frac{5}{2}} + \frac{4}{3} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{\frac{3}{2}} + 2 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} \sqrt{x}"," ",0,"2/9*B*b^4*x^(9/2) - 2*A*a^4/sqrt(x) + 2/7*(4*B*a*b^3 + A*b^4)*x^(7/2) + 4/5*(3*B*a^2*b^2 + 2*A*a*b^3)*x^(5/2) + 4/3*(2*B*a^3*b + 3*A*a^2*b^2)*x^(3/2) + 2*(B*a^4 + 4*A*a^3*b)*sqrt(x)","A",0
744,1,99,0,0.511520," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(5/2),x, algorithm=""maxima"")","\frac{2}{7} \, B b^{4} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{\frac{5}{2}} + \frac{4}{3} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{\frac{3}{2}} + 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} \sqrt{x} - \frac{2 \, {\left(A a^{4} + 3 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/7*B*b^4*x^(7/2) + 2/5*(4*B*a*b^3 + A*b^4)*x^(5/2) + 4/3*(3*B*a^2*b^2 + 2*A*a*b^3)*x^(3/2) + 4*(2*B*a^3*b + 3*A*a^2*b^2)*sqrt(x) - 2/3*(A*a^4 + 3*(B*a^4 + 4*A*a^3*b)*x)/x^(3/2)","A",0
745,1,100,0,0.484709," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(7/2),x, algorithm=""maxima"")","\frac{2}{5} \, B b^{4} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{\frac{3}{2}} + 4 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} \sqrt{x} - \frac{2 \, {\left(3 \, A a^{4} + 30 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 5 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2/5*B*b^4*x^(5/2) + 2/3*(4*B*a*b^3 + A*b^4)*x^(3/2) + 4*(3*B*a^2*b^2 + 2*A*a*b^3)*sqrt(x) - 2/15*(3*A*a^4 + 30*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 5*(B*a^4 + 4*A*a^3*b)*x)/x^(5/2)","A",0
746,1,100,0,0.580715," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/x^(9/2),x, algorithm=""maxima"")","\frac{2}{3} \, B b^{4} x^{\frac{3}{2}} + 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} \sqrt{x} - \frac{2 \, {\left(15 \, A a^{4} + 210 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3} + 70 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2} + 21 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x\right)}}{105 \, x^{\frac{7}{2}}}"," ",0,"2/3*B*b^4*x^(3/2) + 2*(4*B*a*b^3 + A*b^4)*sqrt(x) - 2/105*(15*A*a^4 + 210*(3*B*a^2*b^2 + 2*A*a*b^3)*x^3 + 70*(2*B*a^3*b + 3*A*a^2*b^2)*x^2 + 21*(B*a^4 + 4*A*a^3*b)*x)/x^(7/2)","A",0
747,1,147,0,0.535161," ","integrate(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2}{23} \, B b^{6} x^{\frac{23}{2}} + \frac{2}{9} \, A a^{6} x^{\frac{9}{2}} + \frac{2}{21} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{21}{2}} + \frac{6}{19} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{\frac{19}{2}} + \frac{10}{17} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{\frac{17}{2}} + \frac{2}{3} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{\frac{15}{2}} + \frac{6}{13} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{\frac{11}{2}}"," ",0,"2/23*B*b^6*x^(23/2) + 2/9*A*a^6*x^(9/2) + 2/21*(6*B*a*b^5 + A*b^6)*x^(21/2) + 6/19*(5*B*a^2*b^4 + 2*A*a*b^5)*x^(19/2) + 10/17*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^(17/2) + 2/3*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^(15/2) + 6/13*(2*B*a^5*b + 5*A*a^4*b^2)*x^(13/2) + 2/11*(B*a^6 + 6*A*a^5*b)*x^(11/2)","A",0
748,1,147,0,0.568987," ","integrate(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2}{21} \, B b^{6} x^{\frac{21}{2}} + \frac{2}{7} \, A a^{6} x^{\frac{7}{2}} + \frac{2}{19} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{19}{2}} + \frac{6}{17} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{\frac{17}{2}} + \frac{2}{3} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{\frac{15}{2}} + \frac{10}{13} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{\frac{13}{2}} + \frac{6}{11} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{\frac{9}{2}}"," ",0,"2/21*B*b^6*x^(21/2) + 2/7*A*a^6*x^(7/2) + 2/19*(6*B*a*b^5 + A*b^6)*x^(19/2) + 6/17*(5*B*a^2*b^4 + 2*A*a*b^5)*x^(17/2) + 2/3*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^(15/2) + 10/13*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^(13/2) + 6/11*(2*B*a^5*b + 5*A*a^4*b^2)*x^(11/2) + 2/9*(B*a^6 + 6*A*a^5*b)*x^(9/2)","A",0
749,1,147,0,0.537112," ","integrate(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2}{19} \, B b^{6} x^{\frac{19}{2}} + \frac{2}{5} \, A a^{6} x^{\frac{5}{2}} + \frac{2}{17} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{17}{2}} + \frac{2}{5} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{\frac{15}{2}} + \frac{10}{13} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{\frac{13}{2}} + \frac{10}{11} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{\frac{11}{2}} + \frac{2}{3} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{\frac{7}{2}}"," ",0,"2/19*B*b^6*x^(19/2) + 2/5*A*a^6*x^(5/2) + 2/17*(6*B*a*b^5 + A*b^6)*x^(17/2) + 2/5*(5*B*a^2*b^4 + 2*A*a*b^5)*x^(15/2) + 10/13*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^(13/2) + 10/11*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^(11/2) + 2/3*(2*B*a^5*b + 5*A*a^4*b^2)*x^(9/2) + 2/7*(B*a^6 + 6*A*a^5*b)*x^(7/2)","A",0
750,1,147,0,0.504726," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3*x^(1/2),x, algorithm=""maxima"")","\frac{2}{17} \, B b^{6} x^{\frac{17}{2}} + \frac{2}{3} \, A a^{6} x^{\frac{3}{2}} + \frac{2}{15} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{15}{2}} + \frac{6}{13} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{\frac{13}{2}} + \frac{10}{11} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{\frac{11}{2}} + \frac{10}{9} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{\frac{9}{2}} + \frac{6}{7} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{\frac{5}{2}}"," ",0,"2/17*B*b^6*x^(17/2) + 2/3*A*a^6*x^(3/2) + 2/15*(6*B*a*b^5 + A*b^6)*x^(15/2) + 6/13*(5*B*a^2*b^4 + 2*A*a*b^5)*x^(13/2) + 10/11*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^(11/2) + 10/9*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^(9/2) + 6/7*(2*B*a^5*b + 5*A*a^4*b^2)*x^(7/2) + 2/5*(B*a^6 + 6*A*a^5*b)*x^(5/2)","A",0
751,1,147,0,0.604696," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, B b^{6} x^{\frac{15}{2}} + 2 \, A a^{6} \sqrt{x} + \frac{2}{13} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{13}{2}} + \frac{6}{11} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{\frac{11}{2}} + \frac{10}{9} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{\frac{9}{2}} + \frac{10}{7} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{\frac{7}{2}} + \frac{6}{5} \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x^{\frac{3}{2}}"," ",0,"2/15*B*b^6*x^(15/2) + 2*A*a^6*sqrt(x) + 2/13*(6*B*a*b^5 + A*b^6)*x^(13/2) + 6/11*(5*B*a^2*b^4 + 2*A*a*b^5)*x^(11/2) + 10/9*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^(9/2) + 10/7*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^(7/2) + 6/5*(2*B*a^5*b + 5*A*a^4*b^2)*x^(5/2) + 2/3*(B*a^6 + 6*A*a^5*b)*x^(3/2)","A",0
752,1,147,0,0.556113," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(3/2),x, algorithm=""maxima"")","\frac{2}{13} \, B b^{6} x^{\frac{13}{2}} - \frac{2 \, A a^{6}}{\sqrt{x}} + \frac{2}{11} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{11}{2}} + \frac{2}{3} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{\frac{9}{2}} + \frac{10}{7} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{\frac{7}{2}} + 2 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{\frac{5}{2}} + 2 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{\frac{3}{2}} + 2 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} \sqrt{x}"," ",0,"2/13*B*b^6*x^(13/2) - 2*A*a^6/sqrt(x) + 2/11*(6*B*a*b^5 + A*b^6)*x^(11/2) + 2/3*(5*B*a^2*b^4 + 2*A*a*b^5)*x^(9/2) + 10/7*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^(7/2) + 2*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^(5/2) + 2*(2*B*a^5*b + 5*A*a^4*b^2)*x^(3/2) + 2*(B*a^6 + 6*A*a^5*b)*sqrt(x)","A",0
753,1,147,0,0.661925," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(5/2),x, algorithm=""maxima"")","\frac{2}{11} \, B b^{6} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{9}{2}} + \frac{6}{7} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{\frac{7}{2}} + 2 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{\frac{5}{2}} + \frac{10}{3} \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{\frac{3}{2}} + 6 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} \sqrt{x} - \frac{2 \, {\left(A a^{6} + 3 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/11*B*b^6*x^(11/2) + 2/9*(6*B*a*b^5 + A*b^6)*x^(9/2) + 6/7*(5*B*a^2*b^4 + 2*A*a*b^5)*x^(7/2) + 2*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^(5/2) + 10/3*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^(3/2) + 6*(2*B*a^5*b + 5*A*a^4*b^2)*sqrt(x) - 2/3*(A*a^6 + 3*(B*a^6 + 6*A*a^5*b)*x)/x^(3/2)","A",0
754,1,148,0,0.541707," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(7/2),x, algorithm=""maxima"")","\frac{2}{9} \, B b^{6} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{7}{2}} + \frac{6}{5} \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{\frac{5}{2}} + \frac{10}{3} \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{\frac{3}{2}} + 10 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} \sqrt{x} - \frac{2 \, {\left(3 \, A a^{6} + 45 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 5 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2/9*B*b^6*x^(9/2) + 2/7*(6*B*a*b^5 + A*b^6)*x^(7/2) + 6/5*(5*B*a^2*b^4 + 2*A*a*b^5)*x^(5/2) + 10/3*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^(3/2) + 10*(3*B*a^4*b^2 + 4*A*a^3*b^3)*sqrt(x) - 2/15*(3*A*a^6 + 45*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 5*(B*a^6 + 6*A*a^5*b)*x)/x^(5/2)","A",0
755,1,148,0,0.561327," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(9/2),x, algorithm=""maxima"")","\frac{2}{7} \, B b^{6} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{5}{2}} + 2 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} x^{\frac{3}{2}} + 10 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} \sqrt{x} - \frac{2 \, {\left(5 \, A a^{6} + 175 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 35 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 7 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x\right)}}{35 \, x^{\frac{7}{2}}}"," ",0,"2/7*B*b^6*x^(7/2) + 2/5*(6*B*a*b^5 + A*b^6)*x^(5/2) + 2*(5*B*a^2*b^4 + 2*A*a*b^5)*x^(3/2) + 10*(4*B*a^3*b^3 + 3*A*a^2*b^4)*sqrt(x) - 2/35*(5*A*a^6 + 175*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 35*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 7*(B*a^6 + 6*A*a^5*b)*x)/x^(7/2)","A",0
756,1,148,0,0.463054," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/x^(11/2),x, algorithm=""maxima"")","\frac{2}{5} \, B b^{6} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(6 \, B a b^{5} + A b^{6}\right)} x^{\frac{3}{2}} + 6 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} \sqrt{x} - \frac{2 \, {\left(35 \, A a^{6} + 1575 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{4} + 525 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} x^{3} + 189 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} x^{2} + 45 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} x\right)}}{315 \, x^{\frac{9}{2}}}"," ",0,"2/5*B*b^6*x^(5/2) + 2/3*(6*B*a*b^5 + A*b^6)*x^(3/2) + 6*(5*B*a^2*b^4 + 2*A*a*b^5)*sqrt(x) - 2/315*(35*A*a^6 + 1575*(4*B*a^3*b^3 + 3*A*a^2*b^4)*x^4 + 525*(3*B*a^4*b^2 + 4*A*a^3*b^3)*x^3 + 189*(2*B*a^5*b + 5*A*a^4*b^2)*x^2 + 45*(B*a^6 + 6*A*a^5*b)*x)/x^(9/2)","A",0
757,1,139,0,1.320637," ","integrate(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{{\left(B a^{4} - A a^{3} b\right)} \sqrt{x}}{b^{6} x + a b^{5}} + \frac{{\left(9 \, B a^{4} - 7 \, A a^{3} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{5}} + \frac{2 \, {\left(15 \, B b^{3} x^{\frac{7}{2}} - 21 \, {\left(2 \, B a b^{2} - A b^{3}\right)} x^{\frac{5}{2}} + 35 \, {\left(3 \, B a^{2} b - 2 \, A a b^{2}\right)} x^{\frac{3}{2}} - 105 \, {\left(4 \, B a^{3} - 3 \, A a^{2} b\right)} \sqrt{x}\right)}}{105 \, b^{5}}"," ",0,"-(B*a^4 - A*a^3*b)*sqrt(x)/(b^6*x + a*b^5) + (9*B*a^4 - 7*A*a^3*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^5) + 2/105*(15*B*b^3*x^(7/2) - 21*(2*B*a*b^2 - A*b^3)*x^(5/2) + 35*(3*B*a^2*b - 2*A*a*b^2)*x^(3/2) - 105*(4*B*a^3 - 3*A*a^2*b)*sqrt(x))/b^5","A",0
758,1,115,0,1.207859," ","integrate(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{{\left(B a^{3} - A a^{2} b\right)} \sqrt{x}}{b^{5} x + a b^{4}} - \frac{{\left(7 \, B a^{3} - 5 \, A a^{2} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}} + \frac{2 \, {\left(3 \, B b^{2} x^{\frac{5}{2}} - 5 \, {\left(2 \, B a b - A b^{2}\right)} x^{\frac{3}{2}} + 15 \, {\left(3 \, B a^{2} - 2 \, A a b\right)} \sqrt{x}\right)}}{15 \, b^{4}}"," ",0,"(B*a^3 - A*a^2*b)*sqrt(x)/(b^5*x + a*b^4) - (7*B*a^3 - 5*A*a^2*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) + 2/15*(3*B*b^2*x^(5/2) - 5*(2*B*a*b - A*b^2)*x^(3/2) + 15*(3*B*a^2 - 2*A*a*b)*sqrt(x))/b^4","A",0
759,1,88,0,1.349713," ","integrate(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{{\left(B a^{2} - A a b\right)} \sqrt{x}}{b^{4} x + a b^{3}} + \frac{{\left(5 \, B a^{2} - 3 \, A a b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{2 \, {\left(B b x^{\frac{3}{2}} - 3 \, {\left(2 \, B a - A b\right)} \sqrt{x}\right)}}{3 \, b^{3}}"," ",0,"-(B*a^2 - A*a*b)*sqrt(x)/(b^4*x + a*b^3) + (5*B*a^2 - 3*A*a*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2/3*(B*b*x^(3/2) - 3*(2*B*a - A*b)*sqrt(x))/b^3","A",0
760,1,65,0,1.329841," ","integrate((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{{\left(B a - A b\right)} \sqrt{x}}{b^{3} x + a b^{2}} + \frac{2 \, B \sqrt{x}}{b^{2}} - \frac{{\left(3 \, B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}}"," ",0,"(B*a - A*b)*sqrt(x)/(b^3*x + a*b^2) + 2*B*sqrt(x)/b^2 - (3*B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2)","A",0
761,1,58,0,1.432724," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)/x^(1/2),x, algorithm=""maxima"")","-\frac{{\left(B a - A b\right)} \sqrt{x}}{a b^{2} x + a^{2} b} + \frac{{\left(B a + A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a b}"," ",0,"-(B*a - A*b)*sqrt(x)/(a*b^2*x + a^2*b) + (B*a + A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b)","A",0
762,1,65,0,1.410710," ","integrate((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{2 \, A a - {\left(B a - 3 \, A b\right)} x}{a^{2} b x^{\frac{3}{2}} + a^{3} \sqrt{x}} + \frac{{\left(B a - 3 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}}"," ",0,"-(2*A*a - (B*a - 3*A*b)*x)/(a^2*b*x^(3/2) + a^3*sqrt(x)) + (B*a - 3*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
763,1,93,0,1.506823," ","integrate((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{2 \, A a^{2} + 3 \, {\left(3 \, B a b - 5 \, A b^{2}\right)} x^{2} + 2 \, {\left(3 \, B a^{2} - 5 \, A a b\right)} x}{3 \, {\left(a^{3} b x^{\frac{5}{2}} + a^{4} x^{\frac{3}{2}}\right)}} - \frac{{\left(3 \, B a b - 5 \, A b^{2}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}}"," ",0,"-1/3*(2*A*a^2 + 3*(3*B*a*b - 5*A*b^2)*x^2 + 2*(3*B*a^2 - 5*A*a*b)*x)/(a^3*b*x^(5/2) + a^4*x^(3/2)) - (3*B*a*b - 5*A*b^2)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3)","A",0
764,1,118,0,1.316978," ","integrate((B*x+A)/x^(7/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{6 \, A a^{3} - 15 \, {\left(5 \, B a b^{2} - 7 \, A b^{3}\right)} x^{3} - 10 \, {\left(5 \, B a^{2} b - 7 \, A a b^{2}\right)} x^{2} + 2 \, {\left(5 \, B a^{3} - 7 \, A a^{2} b\right)} x}{15 \, {\left(a^{4} b x^{\frac{7}{2}} + a^{5} x^{\frac{5}{2}}\right)}} + \frac{{\left(5 \, B a b^{2} - 7 \, A b^{3}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{4}}"," ",0,"-1/15*(6*A*a^3 - 15*(5*B*a*b^2 - 7*A*b^3)*x^3 - 10*(5*B*a^2*b - 7*A*a*b^2)*x^2 + 2*(5*B*a^3 - 7*A*a^2*b)*x)/(a^4*b*x^(7/2) + a^5*x^(5/2)) + (5*B*a*b^2 - 7*A*b^3)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4)","A",0
765,1,143,0,1.355356," ","integrate((B*x+A)/x^(9/2)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","-\frac{30 \, A a^{4} + 105 \, {\left(7 \, B a b^{3} - 9 \, A b^{4}\right)} x^{4} + 70 \, {\left(7 \, B a^{2} b^{2} - 9 \, A a b^{3}\right)} x^{3} - 14 \, {\left(7 \, B a^{3} b - 9 \, A a^{2} b^{2}\right)} x^{2} + 6 \, {\left(7 \, B a^{4} - 9 \, A a^{3} b\right)} x}{105 \, {\left(a^{5} b x^{\frac{9}{2}} + a^{6} x^{\frac{7}{2}}\right)}} - \frac{{\left(7 \, B a b^{3} - 9 \, A b^{4}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{5}}"," ",0,"-1/105*(30*A*a^4 + 105*(7*B*a*b^3 - 9*A*b^4)*x^4 + 70*(7*B*a^2*b^2 - 9*A*a*b^3)*x^3 - 14*(7*B*a^3*b - 9*A*a^2*b^2)*x^2 + 6*(7*B*a^4 - 9*A*a^3*b)*x)/(a^5*b*x^(9/2) + a^6*x^(7/2)) - (7*B*a*b^3 - 9*A*b^4)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5)","A",0
766,1,161,0,1.173425," ","integrate(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, {\left(55 \, B a^{2} b^{2} - 29 \, A a b^{3}\right)} x^{\frac{5}{2}} + 8 \, {\left(35 \, B a^{3} b - 17 \, A a^{2} b^{2}\right)} x^{\frac{3}{2}} + 3 \, {\left(41 \, B a^{4} - 19 \, A a^{3} b\right)} \sqrt{x}}{24 \, {\left(b^{8} x^{3} + 3 \, a b^{7} x^{2} + 3 \, a^{2} b^{6} x + a^{3} b^{5}\right)}} + \frac{35 \, {\left(3 \, B a^{2} - A a b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{5}} + \frac{2 \, {\left(B b x^{\frac{3}{2}} - 3 \, {\left(4 \, B a - A b\right)} \sqrt{x}\right)}}{3 \, b^{5}}"," ",0,"-1/24*(3*(55*B*a^2*b^2 - 29*A*a*b^3)*x^(5/2) + 8*(35*B*a^3*b - 17*A*a^2*b^2)*x^(3/2) + 3*(41*B*a^4 - 19*A*a^3*b)*sqrt(x))/(b^8*x^3 + 3*a*b^7*x^2 + 3*a^2*b^6*x + a^3*b^5) + 35/8*(3*B*a^2 - A*a*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^5) + 2/3*(B*b*x^(3/2) - 3*(4*B*a - A*b)*sqrt(x))/b^5","A",0
767,1,136,0,1.199942," ","integrate(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{3 \, {\left(29 \, B a b^{2} - 11 \, A b^{3}\right)} x^{\frac{5}{2}} + 8 \, {\left(17 \, B a^{2} b - 5 \, A a b^{2}\right)} x^{\frac{3}{2}} + 3 \, {\left(19 \, B a^{3} - 5 \, A a^{2} b\right)} \sqrt{x}}{24 \, {\left(b^{7} x^{3} + 3 \, a b^{6} x^{2} + 3 \, a^{2} b^{5} x + a^{3} b^{4}\right)}} + \frac{2 \, B \sqrt{x}}{b^{4}} - \frac{5 \, {\left(7 \, B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{4}}"," ",0,"1/24*(3*(29*B*a*b^2 - 11*A*b^3)*x^(5/2) + 8*(17*B*a^2*b - 5*A*a*b^2)*x^(3/2) + 3*(19*B*a^3 - 5*A*a^2*b)*sqrt(x))/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4) + 2*B*sqrt(x)/b^4 - 5/8*(7*B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4)","A",0
768,1,130,0,1.104408," ","integrate(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, {\left(11 \, B a b^{2} - A b^{3}\right)} x^{\frac{5}{2}} + 8 \, {\left(5 \, B a^{2} b + A a b^{2}\right)} x^{\frac{3}{2}} + 3 \, {\left(5 \, B a^{3} + A a^{2} b\right)} \sqrt{x}}{24 \, {\left(a b^{6} x^{3} + 3 \, a^{2} b^{5} x^{2} + 3 \, a^{3} b^{4} x + a^{4} b^{3}\right)}} + \frac{{\left(5 \, B a + A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a b^{3}}"," ",0,"-1/24*(3*(11*B*a*b^2 - A*b^3)*x^(5/2) + 8*(5*B*a^2*b + A*a*b^2)*x^(3/2) + 3*(5*B*a^3 + A*a^2*b)*sqrt(x))/(a*b^6*x^3 + 3*a^2*b^5*x^2 + 3*a^3*b^4*x + a^4*b^3) + 1/8*(5*B*a + A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b^3)","A",0
769,1,128,0,1.225733," ","integrate((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{3 \, {\left(B a b^{2} + A b^{3}\right)} x^{\frac{5}{2}} - 8 \, {\left(B a^{2} b - A a b^{2}\right)} x^{\frac{3}{2}} - 3 \, {\left(B a^{3} + A a^{2} b\right)} \sqrt{x}}{24 \, {\left(a^{2} b^{5} x^{3} + 3 \, a^{3} b^{4} x^{2} + 3 \, a^{4} b^{3} x + a^{5} b^{2}\right)}} + \frac{{\left(B a + A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{2} b^{2}}"," ",0,"1/24*(3*(B*a*b^2 + A*b^3)*x^(5/2) - 8*(B*a^2*b - A*a*b^2)*x^(3/2) - 3*(B*a^3 + A*a^2*b)*sqrt(x))/(a^2*b^5*x^3 + 3*a^3*b^4*x^2 + 3*a^4*b^3*x + a^5*b^2) + 1/8*(B*a + A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2*b^2)","A",0
770,1,129,0,1.239051," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2/x^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(B a b^{2} + 5 \, A b^{3}\right)} x^{\frac{5}{2}} + 8 \, {\left(B a^{2} b + 5 \, A a b^{2}\right)} x^{\frac{3}{2}} - 3 \, {\left(B a^{3} - 11 \, A a^{2} b\right)} \sqrt{x}}{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{{\left(B a + 5 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{3} b}"," ",0,"1/24*(3*(B*a*b^2 + 5*A*b^3)*x^(5/2) + 8*(B*a^2*b + 5*A*a*b^2)*x^(3/2) - 3*(B*a^3 - 11*A*a^2*b)*sqrt(x))/(a^3*b^4*x^3 + 3*a^4*b^3*x^2 + 3*a^5*b^2*x + a^6*b) + 1/8*(B*a + 5*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3*b)","A",0
771,1,132,0,1.148100," ","integrate((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{48 \, A a^{3} - 15 \, {\left(B a b^{2} - 7 \, A b^{3}\right)} x^{3} - 40 \, {\left(B a^{2} b - 7 \, A a b^{2}\right)} x^{2} - 33 \, {\left(B a^{3} - 7 \, A a^{2} b\right)} x}{24 \, {\left(a^{4} b^{3} x^{\frac{7}{2}} + 3 \, a^{5} b^{2} x^{\frac{5}{2}} + 3 \, a^{6} b x^{\frac{3}{2}} + a^{7} \sqrt{x}\right)}} + \frac{5 \, {\left(B a - 7 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{4}}"," ",0,"-1/24*(48*A*a^3 - 15*(B*a*b^2 - 7*A*b^3)*x^3 - 40*(B*a^2*b - 7*A*a*b^2)*x^2 - 33*(B*a^3 - 7*A*a^2*b)*x)/(a^4*b^3*x^(7/2) + 3*a^5*b^2*x^(5/2) + 3*a^6*b*x^(3/2) + a^7*sqrt(x)) + 5/8*(B*a - 7*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4)","A",0
772,1,158,0,1.395665," ","integrate((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{16 \, A a^{4} + 105 \, {\left(B a b^{3} - 3 \, A b^{4}\right)} x^{4} + 280 \, {\left(B a^{2} b^{2} - 3 \, A a b^{3}\right)} x^{3} + 231 \, {\left(B a^{3} b - 3 \, A a^{2} b^{2}\right)} x^{2} + 48 \, {\left(B a^{4} - 3 \, A a^{3} b\right)} x}{24 \, {\left(a^{5} b^{3} x^{\frac{9}{2}} + 3 \, a^{6} b^{2} x^{\frac{7}{2}} + 3 \, a^{7} b x^{\frac{5}{2}} + a^{8} x^{\frac{3}{2}}\right)}} - \frac{35 \, {\left(B a b - 3 \, A b^{2}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{5}}"," ",0,"-1/24*(16*A*a^4 + 105*(B*a*b^3 - 3*A*b^4)*x^4 + 280*(B*a^2*b^2 - 3*A*a*b^3)*x^3 + 231*(B*a^3*b - 3*A*a^2*b^2)*x^2 + 48*(B*a^4 - 3*A*a^3*b)*x)/(a^5*b^3*x^(9/2) + 3*a^6*b^2*x^(7/2) + 3*a^7*b*x^(5/2) + a^8*x^(3/2)) - 35/8*(B*a*b - 3*A*b^2)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5)","A",0
773,1,231,0,1.183062," ","integrate(x^(11/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{45 \, {\left(791 \, B a^{2} b^{4} - 281 \, A a b^{5}\right)} x^{\frac{9}{2}} + 10 \, {\left(12131 \, B a^{3} b^{3} - 3981 \, A a^{2} b^{4}\right)} x^{\frac{7}{2}} + 128 \, {\left(1253 \, B a^{4} b^{2} - 393 \, A a^{3} b^{3}\right)} x^{\frac{5}{2}} + 10 \, {\left(9629 \, B a^{5} b - 2931 \, A a^{4} b^{2}\right)} x^{\frac{3}{2}} + 15 \, {\left(1467 \, B a^{6} - 437 \, A a^{5} b\right)} \sqrt{x}}{1920 \, {\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{231 \, {\left(13 \, B a^{2} - 3 \, A a b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \, \sqrt{a b} b^{7}} + \frac{2 \, {\left(B b x^{\frac{3}{2}} - 3 \, {\left(6 \, B a - A b\right)} \sqrt{x}\right)}}{3 \, b^{7}}"," ",0,"-1/1920*(45*(791*B*a^2*b^4 - 281*A*a*b^5)*x^(9/2) + 10*(12131*B*a^3*b^3 - 3981*A*a^2*b^4)*x^(7/2) + 128*(1253*B*a^4*b^2 - 393*A*a^3*b^3)*x^(5/2) + 10*(9629*B*a^5*b - 2931*A*a^4*b^2)*x^(3/2) + 15*(1467*B*a^6 - 437*A*a^5*b)*sqrt(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) + 231/128*(13*B*a^2 - 3*A*a*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^7) + 2/3*(B*b*x^(3/2) - 3*(6*B*a - A*b)*sqrt(x))/b^7","A",0
774,1,206,0,1.339959," ","integrate(x^(9/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{5 \, {\left(843 \, B a b^{4} - 193 \, A b^{5}\right)} x^{\frac{9}{2}} + 10 \, {\left(1327 \, B a^{2} b^{3} - 237 \, A a b^{4}\right)} x^{\frac{7}{2}} + 128 \, {\left(131 \, B a^{3} b^{2} - 21 \, A a^{2} b^{3}\right)} x^{\frac{5}{2}} + 10 \, {\left(977 \, B a^{4} b - 147 \, A a^{3} b^{2}\right)} x^{\frac{3}{2}} + 5 \, {\left(437 \, B a^{5} - 63 \, A a^{4} b\right)} \sqrt{x}}{640 \, {\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{2 \, B \sqrt{x}}{b^{6}} - \frac{63 \, {\left(11 \, B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \, \sqrt{a b} b^{6}}"," ",0,"1/640*(5*(843*B*a*b^4 - 193*A*b^5)*x^(9/2) + 10*(1327*B*a^2*b^3 - 237*A*a*b^4)*x^(7/2) + 128*(131*B*a^3*b^2 - 21*A*a^2*b^3)*x^(5/2) + 10*(977*B*a^4*b - 147*A*a^3*b^2)*x^(3/2) + 5*(437*B*a^5 - 63*A*a^4*b)*sqrt(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) + 2*B*sqrt(x)/b^6 - 63/128*(11*B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^6)","A",0
775,1,198,0,1.381121," ","integrate(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{15 \, {\left(193 \, B a b^{4} - 7 \, A b^{5}\right)} x^{\frac{9}{2}} + 790 \, {\left(9 \, B a^{2} b^{3} + A a b^{4}\right)} x^{\frac{7}{2}} + 896 \, {\left(9 \, B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{\frac{5}{2}} + 490 \, {\left(9 \, B a^{4} b + A a^{3} b^{2}\right)} x^{\frac{3}{2}} + 105 \, {\left(9 \, B a^{5} + A a^{4} b\right)} \sqrt{x}}{1920 \, {\left(a b^{10} x^{5} + 5 \, a^{2} b^{9} x^{4} + 10 \, a^{3} b^{8} x^{3} + 10 \, a^{4} b^{7} x^{2} + 5 \, a^{5} b^{6} x + a^{6} b^{5}\right)}} + \frac{7 \, {\left(9 \, B a + A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \, \sqrt{a b} a b^{5}}"," ",0,"-1/1920*(15*(193*B*a*b^4 - 7*A*b^5)*x^(9/2) + 790*(9*B*a^2*b^3 + A*a*b^4)*x^(7/2) + 896*(9*B*a^3*b^2 + A*a^2*b^3)*x^(5/2) + 490*(9*B*a^4*b + A*a^3*b^2)*x^(3/2) + 105*(9*B*a^5 + A*a^4*b)*sqrt(x))/(a*b^10*x^5 + 5*a^2*b^9*x^4 + 10*a^3*b^8*x^3 + 10*a^4*b^7*x^2 + 5*a^5*b^6*x + a^6*b^5) + 7/128*(9*B*a + A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b^5)","A",0
776,1,205,0,1.544779," ","integrate(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{15 \, {\left(7 \, B a b^{4} + 3 \, A b^{5}\right)} x^{\frac{9}{2}} - 10 \, {\left(79 \, B a^{2} b^{3} - 21 \, A a b^{4}\right)} x^{\frac{7}{2}} - 128 \, {\left(7 \, B a^{3} b^{2} + 3 \, A a^{2} b^{3}\right)} x^{\frac{5}{2}} - 70 \, {\left(7 \, B a^{4} b + 3 \, A a^{3} b^{2}\right)} x^{\frac{3}{2}} - 15 \, {\left(7 \, B a^{5} + 3 \, A a^{4} b\right)} \sqrt{x}}{1920 \, {\left(a^{2} b^{9} x^{5} + 5 \, a^{3} b^{8} x^{4} + 10 \, a^{4} b^{7} x^{3} + 10 \, a^{5} b^{6} x^{2} + 5 \, a^{6} b^{5} x + a^{7} b^{4}\right)}} + \frac{{\left(7 \, B a + 3 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \, \sqrt{a b} a^{2} b^{4}}"," ",0,"1/1920*(15*(7*B*a*b^4 + 3*A*b^5)*x^(9/2) - 10*(79*B*a^2*b^3 - 21*A*a*b^4)*x^(7/2) - 128*(7*B*a^3*b^2 + 3*A*a^2*b^3)*x^(5/2) - 70*(7*B*a^4*b + 3*A*a^3*b^2)*x^(3/2) - 15*(7*B*a^5 + 3*A*a^4*b)*sqrt(x))/(a^2*b^9*x^5 + 5*a^3*b^8*x^4 + 10*a^4*b^7*x^3 + 10*a^5*b^6*x^2 + 5*a^6*b^5*x + a^7*b^4) + 1/128*(7*B*a + 3*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2*b^4)","A",0
777,1,194,0,1.186795," ","integrate(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{15 \, {\left(B a b^{4} + A b^{5}\right)} x^{\frac{9}{2}} + 70 \, {\left(B a^{2} b^{3} + A a b^{4}\right)} x^{\frac{7}{2}} - 128 \, {\left(B a^{3} b^{2} - A a^{2} b^{3}\right)} x^{\frac{5}{2}} - 70 \, {\left(B a^{4} b + A a^{3} b^{2}\right)} x^{\frac{3}{2}} - 15 \, {\left(B a^{5} + A a^{4} b\right)} \sqrt{x}}{640 \, {\left(a^{3} b^{8} x^{5} + 5 \, a^{4} b^{7} x^{4} + 10 \, a^{5} b^{6} x^{3} + 10 \, a^{6} b^{5} x^{2} + 5 \, a^{7} b^{4} x + a^{8} b^{3}\right)}} + \frac{3 \, {\left(B a + A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \, \sqrt{a b} a^{3} b^{3}}"," ",0,"1/640*(15*(B*a*b^4 + A*b^5)*x^(9/2) + 70*(B*a^2*b^3 + A*a*b^4)*x^(7/2) - 128*(B*a^3*b^2 - A*a^2*b^3)*x^(5/2) - 70*(B*a^4*b + A*a^3*b^2)*x^(3/2) - 15*(B*a^5 + A*a^4*b)*sqrt(x))/(a^3*b^8*x^5 + 5*a^4*b^7*x^4 + 10*a^5*b^6*x^3 + 10*a^6*b^5*x^2 + 5*a^7*b^4*x + a^8*b^3) + 3/128*(B*a + A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3*b^3)","A",0
778,1,205,0,1.380548," ","integrate((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{15 \, {\left(3 \, B a b^{4} + 7 \, A b^{5}\right)} x^{\frac{9}{2}} + 70 \, {\left(3 \, B a^{2} b^{3} + 7 \, A a b^{4}\right)} x^{\frac{7}{2}} + 128 \, {\left(3 \, B a^{3} b^{2} + 7 \, A a^{2} b^{3}\right)} x^{\frac{5}{2}} - 10 \, {\left(21 \, B a^{4} b - 79 \, A a^{3} b^{2}\right)} x^{\frac{3}{2}} - 15 \, {\left(3 \, B a^{5} + 7 \, A a^{4} b\right)} \sqrt{x}}{1920 \, {\left(a^{4} b^{7} x^{5} + 5 \, a^{5} b^{6} x^{4} + 10 \, a^{6} b^{5} x^{3} + 10 \, a^{7} b^{4} x^{2} + 5 \, a^{8} b^{3} x + a^{9} b^{2}\right)}} + \frac{{\left(3 \, B a + 7 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \, \sqrt{a b} a^{4} b^{2}}"," ",0,"1/1920*(15*(3*B*a*b^4 + 7*A*b^5)*x^(9/2) + 70*(3*B*a^2*b^3 + 7*A*a*b^4)*x^(7/2) + 128*(3*B*a^3*b^2 + 7*A*a^2*b^3)*x^(5/2) - 10*(21*B*a^4*b - 79*A*a^3*b^2)*x^(3/2) - 15*(3*B*a^5 + 7*A*a^4*b)*sqrt(x))/(a^4*b^7*x^5 + 5*a^5*b^6*x^4 + 10*a^6*b^5*x^3 + 10*a^7*b^4*x^2 + 5*a^8*b^3*x + a^9*b^2) + 1/128*(3*B*a + 7*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4*b^2)","A",0
779,1,198,0,1.186712," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3/x^(1/2),x, algorithm=""maxima"")","\frac{105 \, {\left(B a b^{4} + 9 \, A b^{5}\right)} x^{\frac{9}{2}} + 490 \, {\left(B a^{2} b^{3} + 9 \, A a b^{4}\right)} x^{\frac{7}{2}} + 896 \, {\left(B a^{3} b^{2} + 9 \, A a^{2} b^{3}\right)} x^{\frac{5}{2}} + 790 \, {\left(B a^{4} b + 9 \, A a^{3} b^{2}\right)} x^{\frac{3}{2}} - 15 \, {\left(7 \, B a^{5} - 193 \, A a^{4} b\right)} \sqrt{x}}{1920 \, {\left(a^{5} b^{6} x^{5} + 5 \, a^{6} b^{5} x^{4} + 10 \, a^{7} b^{4} x^{3} + 10 \, a^{8} b^{3} x^{2} + 5 \, a^{9} b^{2} x + a^{10} b\right)}} + \frac{7 \, {\left(B a + 9 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \, \sqrt{a b} a^{5} b}"," ",0,"1/1920*(105*(B*a*b^4 + 9*A*b^5)*x^(9/2) + 490*(B*a^2*b^3 + 9*A*a*b^4)*x^(7/2) + 896*(B*a^3*b^2 + 9*A*a^2*b^3)*x^(5/2) + 790*(B*a^4*b + 9*A*a^3*b^2)*x^(3/2) - 15*(7*B*a^5 - 193*A*a^4*b)*sqrt(x))/(a^5*b^6*x^5 + 5*a^6*b^5*x^4 + 10*a^7*b^4*x^3 + 10*a^8*b^3*x^2 + 5*a^9*b^2*x + a^10*b) + 7/128*(B*a + 9*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5*b)","A",0
780,1,200,0,1.251666," ","integrate((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{1280 \, A a^{5} - 315 \, {\left(B a b^{4} - 11 \, A b^{5}\right)} x^{5} - 1470 \, {\left(B a^{2} b^{3} - 11 \, A a b^{4}\right)} x^{4} - 2688 \, {\left(B a^{3} b^{2} - 11 \, A a^{2} b^{3}\right)} x^{3} - 2370 \, {\left(B a^{4} b - 11 \, A a^{3} b^{2}\right)} x^{2} - 965 \, {\left(B a^{5} - 11 \, A a^{4} b\right)} x}{640 \, {\left(a^{6} b^{5} x^{\frac{11}{2}} + 5 \, a^{7} b^{4} x^{\frac{9}{2}} + 10 \, a^{8} b^{3} x^{\frac{7}{2}} + 10 \, a^{9} b^{2} x^{\frac{5}{2}} + 5 \, a^{10} b x^{\frac{3}{2}} + a^{11} \sqrt{x}\right)}} + \frac{63 \, {\left(B a - 11 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \, \sqrt{a b} a^{6}}"," ",0,"-1/640*(1280*A*a^5 - 315*(B*a*b^4 - 11*A*b^5)*x^5 - 1470*(B*a^2*b^3 - 11*A*a*b^4)*x^4 - 2688*(B*a^3*b^2 - 11*A*a^2*b^3)*x^3 - 2370*(B*a^4*b - 11*A*a^3*b^2)*x^2 - 965*(B*a^5 - 11*A*a^4*b)*x)/(a^6*b^5*x^(11/2) + 5*a^7*b^4*x^(9/2) + 10*a^8*b^3*x^(7/2) + 10*a^9*b^2*x^(5/2) + 5*a^10*b*x^(3/2) + a^11*sqrt(x)) + 63/128*(B*a - 11*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^6)","A",0
781,1,233,0,1.441925," ","integrate((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{1280 \, A a^{6} + 3465 \, {\left(3 \, B a b^{5} - 13 \, A b^{6}\right)} x^{6} + 16170 \, {\left(3 \, B a^{2} b^{4} - 13 \, A a b^{5}\right)} x^{5} + 29568 \, {\left(3 \, B a^{3} b^{3} - 13 \, A a^{2} b^{4}\right)} x^{4} + 26070 \, {\left(3 \, B a^{4} b^{2} - 13 \, A a^{3} b^{3}\right)} x^{3} + 10615 \, {\left(3 \, B a^{5} b - 13 \, A a^{4} b^{2}\right)} x^{2} + 1280 \, {\left(3 \, B a^{6} - 13 \, A a^{5} b\right)} x}{1920 \, {\left(a^{7} b^{5} x^{\frac{13}{2}} + 5 \, a^{8} b^{4} x^{\frac{11}{2}} + 10 \, a^{9} b^{3} x^{\frac{9}{2}} + 10 \, a^{10} b^{2} x^{\frac{7}{2}} + 5 \, a^{11} b x^{\frac{5}{2}} + a^{12} x^{\frac{3}{2}}\right)}} - \frac{231 \, {\left(3 \, B a b - 13 \, A b^{2}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{128 \, \sqrt{a b} a^{7}}"," ",0,"-1/1920*(1280*A*a^6 + 3465*(3*B*a*b^5 - 13*A*b^6)*x^6 + 16170*(3*B*a^2*b^4 - 13*A*a*b^5)*x^5 + 29568*(3*B*a^3*b^3 - 13*A*a^2*b^4)*x^4 + 26070*(3*B*a^4*b^2 - 13*A*a^3*b^3)*x^3 + 10615*(3*B*a^5*b - 13*A*a^4*b^2)*x^2 + 1280*(3*B*a^6 - 13*A*a^5*b)*x)/(a^7*b^5*x^(13/2) + 5*a^8*b^4*x^(11/2) + 10*a^9*b^3*x^(9/2) + 10*a^10*b^2*x^(7/2) + 5*a^11*b*x^(5/2) + a^12*x^(3/2)) - 231/128*(3*B*a*b - 13*A*b^2)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^7)","A",0
782,1,35,0,0.544133," ","integrate(x^(7/2)*(B*x+A)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2}{143} \, {\left(11 \, b x^{2} + 13 \, a x\right)} B x^{\frac{9}{2}} + \frac{2}{99} \, {\left(9 \, b x^{2} + 11 \, a x\right)} A x^{\frac{7}{2}}"," ",0,"2/143*(11*b*x^2 + 13*a*x)*B*x^(9/2) + 2/99*(9*b*x^2 + 11*a*x)*A*x^(7/2)","A",0
783,1,35,0,0.620686," ","integrate(x^(5/2)*(B*x+A)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2}{99} \, {\left(9 \, b x^{2} + 11 \, a x\right)} B x^{\frac{7}{2}} + \frac{2}{63} \, {\left(7 \, b x^{2} + 9 \, a x\right)} A x^{\frac{5}{2}}"," ",0,"2/99*(9*b*x^2 + 11*a*x)*B*x^(7/2) + 2/63*(7*b*x^2 + 9*a*x)*A*x^(5/2)","A",0
784,1,35,0,0.516978," ","integrate(x^(3/2)*(B*x+A)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2}{63} \, {\left(7 \, b x^{2} + 9 \, a x\right)} B x^{\frac{5}{2}} + \frac{2}{35} \, {\left(5 \, b x^{2} + 7 \, a x\right)} A x^{\frac{3}{2}}"," ",0,"2/63*(7*b*x^2 + 9*a*x)*B*x^(5/2) + 2/35*(5*b*x^2 + 7*a*x)*A*x^(3/2)","A",0
785,1,35,0,0.591741," ","integrate((B*x+A)*x^(1/2)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2}{35} \, {\left(5 \, b x^{2} + 7 \, a x\right)} B x^{\frac{3}{2}} + \frac{2}{15} \, {\left(3 \, b x^{2} + 5 \, a x\right)} A \sqrt{x}"," ",0,"2/35*(5*b*x^2 + 7*a*x)*B*x^(3/2) + 2/15*(3*b*x^2 + 5*a*x)*A*sqrt(x)","A",0
786,1,34,0,0.496016," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(3 \, b x^{2} + 5 \, a x\right)} B \sqrt{x} + \frac{2 \, {\left(b x^{2} + 3 \, a x\right)} A}{3 \, \sqrt{x}}"," ",0,"2/15*(3*b*x^2 + 5*a*x)*B*sqrt(x) + 2/3*(b*x^2 + 3*a*x)*A/sqrt(x)","A",0
787,1,33,0,0.621282," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{2} + 3 \, a x\right)} B}{3 \, \sqrt{x}} + \frac{2 \, {\left(b x^{2} - a x\right)} A}{x^{\frac{3}{2}}}"," ",0,"2/3*(b*x^2 + 3*a*x)*B/sqrt(x) + 2*(b*x^2 - a*x)*A/x^(3/2)","A",0
788,1,33,0,0.637400," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{2} - a x\right)} B}{x^{\frac{3}{2}}} - \frac{2 \, {\left(3 \, b x^{2} + a x\right)} A}{3 \, x^{\frac{5}{2}}}"," ",0,"2*(b*x^2 - a*x)*B/x^(3/2) - 2/3*(3*b*x^2 + a*x)*A/x^(5/2)","A",0
789,1,34,0,0.567988," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, b x^{2} + a x\right)} B}{3 \, x^{\frac{5}{2}}} - \frac{2 \, {\left(5 \, b x^{2} + 3 \, a x\right)} A}{15 \, x^{\frac{7}{2}}}"," ",0,"-2/3*(3*b*x^2 + a*x)*B/x^(5/2) - 2/15*(5*b*x^2 + 3*a*x)*A/x^(7/2)","A",0
790,1,35,0,0.663605," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/x^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(5 \, b x^{2} + 3 \, a x\right)} B}{15 \, x^{\frac{7}{2}}} - \frac{2 \, {\left(7 \, b x^{2} + 5 \, a x\right)} A}{35 \, x^{\frac{9}{2}}}"," ",0,"-2/15*(5*b*x^2 + 3*a*x)*B/x^(7/2) - 2/35*(7*b*x^2 + 5*a*x)*A/x^(9/2)","A",0
791,1,137,0,0.568090," ","integrate(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{2}{6435} \, {\left(33 \, {\left(13 \, b^{3} x^{2} + 15 \, a b^{2} x\right)} x^{\frac{11}{2}} + 90 \, {\left(11 \, a b^{2} x^{2} + 13 \, a^{2} b x\right)} x^{\frac{9}{2}} + 65 \, {\left(9 \, a^{2} b x^{2} + 11 \, a^{3} x\right)} x^{\frac{7}{2}}\right)} A + \frac{2}{36465} \, {\left(143 \, {\left(15 \, b^{3} x^{2} + 17 \, a b^{2} x\right)} x^{\frac{13}{2}} + 374 \, {\left(13 \, a b^{2} x^{2} + 15 \, a^{2} b x\right)} x^{\frac{11}{2}} + 255 \, {\left(11 \, a^{2} b x^{2} + 13 \, a^{3} x\right)} x^{\frac{9}{2}}\right)} B"," ",0,"2/6435*(33*(13*b^3*x^2 + 15*a*b^2*x)*x^(11/2) + 90*(11*a*b^2*x^2 + 13*a^2*b*x)*x^(9/2) + 65*(9*a^2*b*x^2 + 11*a^3*x)*x^(7/2))*A + 2/36465*(143*(15*b^3*x^2 + 17*a*b^2*x)*x^(13/2) + 374*(13*a*b^2*x^2 + 15*a^2*b*x)*x^(11/2) + 255*(11*a^2*b*x^2 + 13*a^3*x)*x^(9/2))*B","A",0
792,1,137,0,0.625432," ","integrate(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{2}{9009} \, {\left(63 \, {\left(11 \, b^{3} x^{2} + 13 \, a b^{2} x\right)} x^{\frac{9}{2}} + 182 \, {\left(9 \, a b^{2} x^{2} + 11 \, a^{2} b x\right)} x^{\frac{7}{2}} + 143 \, {\left(7 \, a^{2} b x^{2} + 9 \, a^{3} x\right)} x^{\frac{5}{2}}\right)} A + \frac{2}{6435} \, {\left(33 \, {\left(13 \, b^{3} x^{2} + 15 \, a b^{2} x\right)} x^{\frac{11}{2}} + 90 \, {\left(11 \, a b^{2} x^{2} + 13 \, a^{2} b x\right)} x^{\frac{9}{2}} + 65 \, {\left(9 \, a^{2} b x^{2} + 11 \, a^{3} x\right)} x^{\frac{7}{2}}\right)} B"," ",0,"2/9009*(63*(11*b^3*x^2 + 13*a*b^2*x)*x^(9/2) + 182*(9*a*b^2*x^2 + 11*a^2*b*x)*x^(7/2) + 143*(7*a^2*b*x^2 + 9*a^3*x)*x^(5/2))*A + 2/6435*(33*(13*b^3*x^2 + 15*a*b^2*x)*x^(11/2) + 90*(11*a*b^2*x^2 + 13*a^2*b*x)*x^(9/2) + 65*(9*a^2*b*x^2 + 11*a^3*x)*x^(7/2))*B","A",0
793,1,137,0,0.537390," ","integrate(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{2}{3465} \, {\left(35 \, {\left(9 \, b^{3} x^{2} + 11 \, a b^{2} x\right)} x^{\frac{7}{2}} + 110 \, {\left(7 \, a b^{2} x^{2} + 9 \, a^{2} b x\right)} x^{\frac{5}{2}} + 99 \, {\left(5 \, a^{2} b x^{2} + 7 \, a^{3} x\right)} x^{\frac{3}{2}}\right)} A + \frac{2}{9009} \, {\left(63 \, {\left(11 \, b^{3} x^{2} + 13 \, a b^{2} x\right)} x^{\frac{9}{2}} + 182 \, {\left(9 \, a b^{2} x^{2} + 11 \, a^{2} b x\right)} x^{\frac{7}{2}} + 143 \, {\left(7 \, a^{2} b x^{2} + 9 \, a^{3} x\right)} x^{\frac{5}{2}}\right)} B"," ",0,"2/3465*(35*(9*b^3*x^2 + 11*a*b^2*x)*x^(7/2) + 110*(7*a*b^2*x^2 + 9*a^2*b*x)*x^(5/2) + 99*(5*a^2*b*x^2 + 7*a^3*x)*x^(3/2))*A + 2/9009*(63*(11*b^3*x^2 + 13*a*b^2*x)*x^(9/2) + 182*(9*a*b^2*x^2 + 11*a^2*b*x)*x^(7/2) + 143*(7*a^2*b*x^2 + 9*a^3*x)*x^(5/2))*B","A",0
794,1,137,0,0.623215," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{315} \, {\left(5 \, {\left(7 \, b^{3} x^{2} + 9 \, a b^{2} x\right)} x^{\frac{5}{2}} + 18 \, {\left(5 \, a b^{2} x^{2} + 7 \, a^{2} b x\right)} x^{\frac{3}{2}} + 21 \, {\left(3 \, a^{2} b x^{2} + 5 \, a^{3} x\right)} \sqrt{x}\right)} A + \frac{2}{3465} \, {\left(35 \, {\left(9 \, b^{3} x^{2} + 11 \, a b^{2} x\right)} x^{\frac{7}{2}} + 110 \, {\left(7 \, a b^{2} x^{2} + 9 \, a^{2} b x\right)} x^{\frac{5}{2}} + 99 \, {\left(5 \, a^{2} b x^{2} + 7 \, a^{3} x\right)} x^{\frac{3}{2}}\right)} B"," ",0,"2/315*(5*(7*b^3*x^2 + 9*a*b^2*x)*x^(5/2) + 18*(5*a*b^2*x^2 + 7*a^2*b*x)*x^(3/2) + 21*(3*a^2*b*x^2 + 5*a^3*x)*sqrt(x))*A + 2/3465*(35*(9*b^3*x^2 + 11*a*b^2*x)*x^(7/2) + 110*(7*a*b^2*x^2 + 9*a^2*b*x)*x^(5/2) + 99*(5*a^2*b*x^2 + 7*a^3*x)*x^(3/2))*B","A",0
795,1,136,0,0.619232," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{105} \, {\left(3 \, {\left(5 \, b^{3} x^{2} + 7 \, a b^{2} x\right)} x^{\frac{3}{2}} + 14 \, {\left(3 \, a b^{2} x^{2} + 5 \, a^{2} b x\right)} \sqrt{x} + \frac{35 \, {\left(a^{2} b x^{2} + 3 \, a^{3} x\right)}}{\sqrt{x}}\right)} A + \frac{2}{315} \, {\left(5 \, {\left(7 \, b^{3} x^{2} + 9 \, a b^{2} x\right)} x^{\frac{5}{2}} + 18 \, {\left(5 \, a b^{2} x^{2} + 7 \, a^{2} b x\right)} x^{\frac{3}{2}} + 21 \, {\left(3 \, a^{2} b x^{2} + 5 \, a^{3} x\right)} \sqrt{x}\right)} B"," ",0,"2/105*(3*(5*b^3*x^2 + 7*a*b^2*x)*x^(3/2) + 14*(3*a*b^2*x^2 + 5*a^2*b*x)*sqrt(x) + 35*(a^2*b*x^2 + 3*a^3*x)/sqrt(x))*A + 2/315*(5*(7*b^3*x^2 + 9*a*b^2*x)*x^(5/2) + 18*(5*a*b^2*x^2 + 7*a^2*b*x)*x^(3/2) + 21*(3*a^2*b*x^2 + 5*a^3*x)*sqrt(x))*B","A",0
796,1,133,0,0.557353," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left({\left(3 \, b^{3} x^{2} + 5 \, a b^{2} x\right)} \sqrt{x} + \frac{10 \, {\left(a b^{2} x^{2} + 3 \, a^{2} b x\right)}}{\sqrt{x}} + \frac{15 \, {\left(a^{2} b x^{2} - a^{3} x\right)}}{x^{\frac{3}{2}}}\right)} A + \frac{2}{105} \, {\left(3 \, {\left(5 \, b^{3} x^{2} + 7 \, a b^{2} x\right)} x^{\frac{3}{2}} + 14 \, {\left(3 \, a b^{2} x^{2} + 5 \, a^{2} b x\right)} \sqrt{x} + \frac{35 \, {\left(a^{2} b x^{2} + 3 \, a^{3} x\right)}}{\sqrt{x}}\right)} B"," ",0,"2/15*((3*b^3*x^2 + 5*a*b^2*x)*sqrt(x) + 10*(a*b^2*x^2 + 3*a^2*b*x)/sqrt(x) + 15*(a^2*b*x^2 - a^3*x)/x^(3/2))*A + 2/105*(3*(5*b^3*x^2 + 7*a*b^2*x)*x^(3/2) + 14*(3*a*b^2*x^2 + 5*a^2*b*x)*sqrt(x) + 35*(a^2*b*x^2 + 3*a^3*x)/sqrt(x))*B","A",0
797,1,130,0,0.646201," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left({\left(3 \, b^{3} x^{2} + 5 \, a b^{2} x\right)} \sqrt{x} + \frac{10 \, {\left(a b^{2} x^{2} + 3 \, a^{2} b x\right)}}{\sqrt{x}} + \frac{15 \, {\left(a^{2} b x^{2} - a^{3} x\right)}}{x^{\frac{3}{2}}}\right)} B + \frac{2}{3} \, A {\left(\frac{b^{3} x^{2} + 3 \, a b^{2} x}{\sqrt{x}} + \frac{6 \, {\left(a b^{2} x^{2} - a^{2} b x\right)}}{x^{\frac{3}{2}}} - \frac{3 \, a^{2} b x^{2} + a^{3} x}{x^{\frac{5}{2}}}\right)}"," ",0,"2/15*((3*b^3*x^2 + 5*a*b^2*x)*sqrt(x) + 10*(a*b^2*x^2 + 3*a^2*b*x)/sqrt(x) + 15*(a^2*b*x^2 - a^3*x)/x^(3/2))*B + 2/3*A*((b^3*x^2 + 3*a*b^2*x)/sqrt(x) + 6*(a*b^2*x^2 - a^2*b*x)/x^(3/2) - (3*a^2*b*x^2 + a^3*x)/x^(5/2))","A",0
798,1,131,0,0.649280," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(7/2),x, algorithm=""maxima"")","\frac{2}{3} \, B {\left(\frac{b^{3} x^{2} + 3 \, a b^{2} x}{\sqrt{x}} + \frac{6 \, {\left(a b^{2} x^{2} - a^{2} b x\right)}}{x^{\frac{3}{2}}} - \frac{3 \, a^{2} b x^{2} + a^{3} x}{x^{\frac{5}{2}}}\right)} + \frac{2}{15} \, A {\left(\frac{15 \, {\left(b^{3} x^{2} - a b^{2} x\right)}}{x^{\frac{3}{2}}} - \frac{10 \, {\left(3 \, a b^{2} x^{2} + a^{2} b x\right)}}{x^{\frac{5}{2}}} - \frac{5 \, a^{2} b x^{2} + 3 \, a^{3} x}{x^{\frac{7}{2}}}\right)}"," ",0,"2/3*B*((b^3*x^2 + 3*a*b^2*x)/sqrt(x) + 6*(a*b^2*x^2 - a^2*b*x)/x^(3/2) - (3*a^2*b*x^2 + a^3*x)/x^(5/2)) + 2/15*A*(15*(b^3*x^2 - a*b^2*x)/x^(3/2) - 10*(3*a*b^2*x^2 + a^2*b*x)/x^(5/2) - (5*a^2*b*x^2 + 3*a^3*x)/x^(7/2))","A",0
799,1,134,0,0.601609," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(9/2),x, algorithm=""maxima"")","\frac{2}{15} \, B {\left(\frac{15 \, {\left(b^{3} x^{2} - a b^{2} x\right)}}{x^{\frac{3}{2}}} - \frac{10 \, {\left(3 \, a b^{2} x^{2} + a^{2} b x\right)}}{x^{\frac{5}{2}}} - \frac{5 \, a^{2} b x^{2} + 3 \, a^{3} x}{x^{\frac{7}{2}}}\right)} - \frac{2}{105} \, A {\left(\frac{35 \, {\left(3 \, b^{3} x^{2} + a b^{2} x\right)}}{x^{\frac{5}{2}}} + \frac{14 \, {\left(5 \, a b^{2} x^{2} + 3 \, a^{2} b x\right)}}{x^{\frac{7}{2}}} + \frac{3 \, {\left(7 \, a^{2} b x^{2} + 5 \, a^{3} x\right)}}{x^{\frac{9}{2}}}\right)}"," ",0,"2/15*B*(15*(b^3*x^2 - a*b^2*x)/x^(3/2) - 10*(3*a*b^2*x^2 + a^2*b*x)/x^(5/2) - (5*a^2*b*x^2 + 3*a^3*x)/x^(7/2)) - 2/105*A*(35*(3*b^3*x^2 + a*b^2*x)/x^(5/2) + 14*(5*a*b^2*x^2 + 3*a^2*b*x)/x^(7/2) + 3*(7*a^2*b*x^2 + 5*a^3*x)/x^(9/2))","A",0
800,1,241,0,0.676642," ","integrate(x^(7/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{2}{2078505} \, {\left(6435 \, {\left(17 \, b^{5} x^{2} + 19 \, a b^{4} x\right)} x^{\frac{15}{2}} + 32604 \, {\left(15 \, a b^{4} x^{2} + 17 \, a^{2} b^{3} x\right)} x^{\frac{13}{2}} + 63954 \, {\left(13 \, a^{2} b^{3} x^{2} + 15 \, a^{3} b^{2} x\right)} x^{\frac{11}{2}} + 58140 \, {\left(11 \, a^{3} b^{2} x^{2} + 13 \, a^{4} b x\right)} x^{\frac{9}{2}} + 20995 \, {\left(9 \, a^{4} b x^{2} + 11 \, a^{5} x\right)} x^{\frac{7}{2}}\right)} A + \frac{2}{4849845} \, {\left(12155 \, {\left(19 \, b^{5} x^{2} + 21 \, a b^{4} x\right)} x^{\frac{17}{2}} + 60060 \, {\left(17 \, a b^{4} x^{2} + 19 \, a^{2} b^{3} x\right)} x^{\frac{15}{2}} + 114114 \, {\left(15 \, a^{2} b^{3} x^{2} + 17 \, a^{3} b^{2} x\right)} x^{\frac{13}{2}} + 99484 \, {\left(13 \, a^{3} b^{2} x^{2} + 15 \, a^{4} b x\right)} x^{\frac{11}{2}} + 33915 \, {\left(11 \, a^{4} b x^{2} + 13 \, a^{5} x\right)} x^{\frac{9}{2}}\right)} B"," ",0,"2/2078505*(6435*(17*b^5*x^2 + 19*a*b^4*x)*x^(15/2) + 32604*(15*a*b^4*x^2 + 17*a^2*b^3*x)*x^(13/2) + 63954*(13*a^2*b^3*x^2 + 15*a^3*b^2*x)*x^(11/2) + 58140*(11*a^3*b^2*x^2 + 13*a^4*b*x)*x^(9/2) + 20995*(9*a^4*b*x^2 + 11*a^5*x)*x^(7/2))*A + 2/4849845*(12155*(19*b^5*x^2 + 21*a*b^4*x)*x^(17/2) + 60060*(17*a*b^4*x^2 + 19*a^2*b^3*x)*x^(15/2) + 114114*(15*a^2*b^3*x^2 + 17*a^3*b^2*x)*x^(13/2) + 99484*(13*a^3*b^2*x^2 + 15*a^4*b*x)*x^(11/2) + 33915*(11*a^4*b*x^2 + 13*a^5*x)*x^(9/2))*B","A",0
801,1,241,0,0.727726," ","integrate(x^(5/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{2}{765765} \, {\left(3003 \, {\left(15 \, b^{5} x^{2} + 17 \, a b^{4} x\right)} x^{\frac{13}{2}} + 15708 \, {\left(13 \, a b^{4} x^{2} + 15 \, a^{2} b^{3} x\right)} x^{\frac{11}{2}} + 32130 \, {\left(11 \, a^{2} b^{3} x^{2} + 13 \, a^{3} b^{2} x\right)} x^{\frac{9}{2}} + 30940 \, {\left(9 \, a^{3} b^{2} x^{2} + 11 \, a^{4} b x\right)} x^{\frac{7}{2}} + 12155 \, {\left(7 \, a^{4} b x^{2} + 9 \, a^{5} x\right)} x^{\frac{5}{2}}\right)} A + \frac{2}{2078505} \, {\left(6435 \, {\left(17 \, b^{5} x^{2} + 19 \, a b^{4} x\right)} x^{\frac{15}{2}} + 32604 \, {\left(15 \, a b^{4} x^{2} + 17 \, a^{2} b^{3} x\right)} x^{\frac{13}{2}} + 63954 \, {\left(13 \, a^{2} b^{3} x^{2} + 15 \, a^{3} b^{2} x\right)} x^{\frac{11}{2}} + 58140 \, {\left(11 \, a^{3} b^{2} x^{2} + 13 \, a^{4} b x\right)} x^{\frac{9}{2}} + 20995 \, {\left(9 \, a^{4} b x^{2} + 11 \, a^{5} x\right)} x^{\frac{7}{2}}\right)} B"," ",0,"2/765765*(3003*(15*b^5*x^2 + 17*a*b^4*x)*x^(13/2) + 15708*(13*a*b^4*x^2 + 15*a^2*b^3*x)*x^(11/2) + 32130*(11*a^2*b^3*x^2 + 13*a^3*b^2*x)*x^(9/2) + 30940*(9*a^3*b^2*x^2 + 11*a^4*b*x)*x^(7/2) + 12155*(7*a^4*b*x^2 + 9*a^5*x)*x^(5/2))*A + 2/2078505*(6435*(17*b^5*x^2 + 19*a*b^4*x)*x^(15/2) + 32604*(15*a*b^4*x^2 + 17*a^2*b^3*x)*x^(13/2) + 63954*(13*a^2*b^3*x^2 + 15*a^3*b^2*x)*x^(11/2) + 58140*(11*a^3*b^2*x^2 + 13*a^4*b*x)*x^(9/2) + 20995*(9*a^4*b*x^2 + 11*a^5*x)*x^(7/2))*B","A",0
802,1,241,0,0.689538," ","integrate(x^(3/2)*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{2}{45045} \, {\left(231 \, {\left(13 \, b^{5} x^{2} + 15 \, a b^{4} x\right)} x^{\frac{11}{2}} + 1260 \, {\left(11 \, a b^{4} x^{2} + 13 \, a^{2} b^{3} x\right)} x^{\frac{9}{2}} + 2730 \, {\left(9 \, a^{2} b^{3} x^{2} + 11 \, a^{3} b^{2} x\right)} x^{\frac{7}{2}} + 2860 \, {\left(7 \, a^{3} b^{2} x^{2} + 9 \, a^{4} b x\right)} x^{\frac{5}{2}} + 1287 \, {\left(5 \, a^{4} b x^{2} + 7 \, a^{5} x\right)} x^{\frac{3}{2}}\right)} A + \frac{2}{765765} \, {\left(3003 \, {\left(15 \, b^{5} x^{2} + 17 \, a b^{4} x\right)} x^{\frac{13}{2}} + 15708 \, {\left(13 \, a b^{4} x^{2} + 15 \, a^{2} b^{3} x\right)} x^{\frac{11}{2}} + 32130 \, {\left(11 \, a^{2} b^{3} x^{2} + 13 \, a^{3} b^{2} x\right)} x^{\frac{9}{2}} + 30940 \, {\left(9 \, a^{3} b^{2} x^{2} + 11 \, a^{4} b x\right)} x^{\frac{7}{2}} + 12155 \, {\left(7 \, a^{4} b x^{2} + 9 \, a^{5} x\right)} x^{\frac{5}{2}}\right)} B"," ",0,"2/45045*(231*(13*b^5*x^2 + 15*a*b^4*x)*x^(11/2) + 1260*(11*a*b^4*x^2 + 13*a^2*b^3*x)*x^(9/2) + 2730*(9*a^2*b^3*x^2 + 11*a^3*b^2*x)*x^(7/2) + 2860*(7*a^3*b^2*x^2 + 9*a^4*b*x)*x^(5/2) + 1287*(5*a^4*b*x^2 + 7*a^5*x)*x^(3/2))*A + 2/765765*(3003*(15*b^5*x^2 + 17*a*b^4*x)*x^(13/2) + 15708*(13*a*b^4*x^2 + 15*a^2*b^3*x)*x^(11/2) + 32130*(11*a^2*b^3*x^2 + 13*a^3*b^2*x)*x^(9/2) + 30940*(9*a^3*b^2*x^2 + 11*a^4*b*x)*x^(7/2) + 12155*(7*a^4*b*x^2 + 9*a^5*x)*x^(5/2))*B","A",0
803,1,241,0,0.777645," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{45045} \, {\left(315 \, {\left(11 \, b^{5} x^{2} + 13 \, a b^{4} x\right)} x^{\frac{9}{2}} + 1820 \, {\left(9 \, a b^{4} x^{2} + 11 \, a^{2} b^{3} x\right)} x^{\frac{7}{2}} + 4290 \, {\left(7 \, a^{2} b^{3} x^{2} + 9 \, a^{3} b^{2} x\right)} x^{\frac{5}{2}} + 5148 \, {\left(5 \, a^{3} b^{2} x^{2} + 7 \, a^{4} b x\right)} x^{\frac{3}{2}} + 3003 \, {\left(3 \, a^{4} b x^{2} + 5 \, a^{5} x\right)} \sqrt{x}\right)} A + \frac{2}{45045} \, {\left(231 \, {\left(13 \, b^{5} x^{2} + 15 \, a b^{4} x\right)} x^{\frac{11}{2}} + 1260 \, {\left(11 \, a b^{4} x^{2} + 13 \, a^{2} b^{3} x\right)} x^{\frac{9}{2}} + 2730 \, {\left(9 \, a^{2} b^{3} x^{2} + 11 \, a^{3} b^{2} x\right)} x^{\frac{7}{2}} + 2860 \, {\left(7 \, a^{3} b^{2} x^{2} + 9 \, a^{4} b x\right)} x^{\frac{5}{2}} + 1287 \, {\left(5 \, a^{4} b x^{2} + 7 \, a^{5} x\right)} x^{\frac{3}{2}}\right)} B"," ",0,"2/45045*(315*(11*b^5*x^2 + 13*a*b^4*x)*x^(9/2) + 1820*(9*a*b^4*x^2 + 11*a^2*b^3*x)*x^(7/2) + 4290*(7*a^2*b^3*x^2 + 9*a^3*b^2*x)*x^(5/2) + 5148*(5*a^3*b^2*x^2 + 7*a^4*b*x)*x^(3/2) + 3003*(3*a^4*b*x^2 + 5*a^5*x)*sqrt(x))*A + 2/45045*(231*(13*b^5*x^2 + 15*a*b^4*x)*x^(11/2) + 1260*(11*a*b^4*x^2 + 13*a^2*b^3*x)*x^(9/2) + 2730*(9*a^2*b^3*x^2 + 11*a^3*b^2*x)*x^(7/2) + 2860*(7*a^3*b^2*x^2 + 9*a^4*b*x)*x^(5/2) + 1287*(5*a^4*b*x^2 + 7*a^5*x)*x^(3/2))*B","A",0
804,1,240,0,0.769275," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{3465} \, {\left(35 \, {\left(9 \, b^{5} x^{2} + 11 \, a b^{4} x\right)} x^{\frac{7}{2}} + 220 \, {\left(7 \, a b^{4} x^{2} + 9 \, a^{2} b^{3} x\right)} x^{\frac{5}{2}} + 594 \, {\left(5 \, a^{2} b^{3} x^{2} + 7 \, a^{3} b^{2} x\right)} x^{\frac{3}{2}} + 924 \, {\left(3 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x\right)} \sqrt{x} + \frac{1155 \, {\left(a^{4} b x^{2} + 3 \, a^{5} x\right)}}{\sqrt{x}}\right)} A + \frac{2}{45045} \, {\left(315 \, {\left(11 \, b^{5} x^{2} + 13 \, a b^{4} x\right)} x^{\frac{9}{2}} + 1820 \, {\left(9 \, a b^{4} x^{2} + 11 \, a^{2} b^{3} x\right)} x^{\frac{7}{2}} + 4290 \, {\left(7 \, a^{2} b^{3} x^{2} + 9 \, a^{3} b^{2} x\right)} x^{\frac{5}{2}} + 5148 \, {\left(5 \, a^{3} b^{2} x^{2} + 7 \, a^{4} b x\right)} x^{\frac{3}{2}} + 3003 \, {\left(3 \, a^{4} b x^{2} + 5 \, a^{5} x\right)} \sqrt{x}\right)} B"," ",0,"2/3465*(35*(9*b^5*x^2 + 11*a*b^4*x)*x^(7/2) + 220*(7*a*b^4*x^2 + 9*a^2*b^3*x)*x^(5/2) + 594*(5*a^2*b^3*x^2 + 7*a^3*b^2*x)*x^(3/2) + 924*(3*a^3*b^2*x^2 + 5*a^4*b*x)*sqrt(x) + 1155*(a^4*b*x^2 + 3*a^5*x)/sqrt(x))*A + 2/45045*(315*(11*b^5*x^2 + 13*a*b^4*x)*x^(9/2) + 1820*(9*a*b^4*x^2 + 11*a^2*b^3*x)*x^(7/2) + 4290*(7*a^2*b^3*x^2 + 9*a^3*b^2*x)*x^(5/2) + 5148*(5*a^3*b^2*x^2 + 7*a^4*b*x)*x^(3/2) + 3003*(3*a^4*b*x^2 + 5*a^5*x)*sqrt(x))*B","A",0
805,1,238,0,0.639967," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{315} \, {\left(5 \, {\left(7 \, b^{5} x^{2} + 9 \, a b^{4} x\right)} x^{\frac{5}{2}} + 36 \, {\left(5 \, a b^{4} x^{2} + 7 \, a^{2} b^{3} x\right)} x^{\frac{3}{2}} + 126 \, {\left(3 \, a^{2} b^{3} x^{2} + 5 \, a^{3} b^{2} x\right)} \sqrt{x} + \frac{420 \, {\left(a^{3} b^{2} x^{2} + 3 \, a^{4} b x\right)}}{\sqrt{x}} + \frac{315 \, {\left(a^{4} b x^{2} - a^{5} x\right)}}{x^{\frac{3}{2}}}\right)} A + \frac{2}{3465} \, {\left(35 \, {\left(9 \, b^{5} x^{2} + 11 \, a b^{4} x\right)} x^{\frac{7}{2}} + 220 \, {\left(7 \, a b^{4} x^{2} + 9 \, a^{2} b^{3} x\right)} x^{\frac{5}{2}} + 594 \, {\left(5 \, a^{2} b^{3} x^{2} + 7 \, a^{3} b^{2} x\right)} x^{\frac{3}{2}} + 924 \, {\left(3 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x\right)} \sqrt{x} + \frac{1155 \, {\left(a^{4} b x^{2} + 3 \, a^{5} x\right)}}{\sqrt{x}}\right)} B"," ",0,"2/315*(5*(7*b^5*x^2 + 9*a*b^4*x)*x^(5/2) + 36*(5*a*b^4*x^2 + 7*a^2*b^3*x)*x^(3/2) + 126*(3*a^2*b^3*x^2 + 5*a^3*b^2*x)*sqrt(x) + 420*(a^3*b^2*x^2 + 3*a^4*b*x)/sqrt(x) + 315*(a^4*b*x^2 - a^5*x)/x^(3/2))*A + 2/3465*(35*(9*b^5*x^2 + 11*a*b^4*x)*x^(7/2) + 220*(7*a*b^4*x^2 + 9*a^2*b^3*x)*x^(5/2) + 594*(5*a^2*b^3*x^2 + 7*a^3*b^2*x)*x^(3/2) + 924*(3*a^3*b^2*x^2 + 5*a^4*b*x)*sqrt(x) + 1155*(a^4*b*x^2 + 3*a^5*x)/sqrt(x))*B","A",0
806,1,236,0,0.571508," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{105} \, {\left(3 \, {\left(5 \, b^{5} x^{2} + 7 \, a b^{4} x\right)} x^{\frac{3}{2}} + 28 \, {\left(3 \, a b^{4} x^{2} + 5 \, a^{2} b^{3} x\right)} \sqrt{x} + \frac{210 \, {\left(a^{2} b^{3} x^{2} + 3 \, a^{3} b^{2} x\right)}}{\sqrt{x}} + \frac{420 \, {\left(a^{3} b^{2} x^{2} - a^{4} b x\right)}}{x^{\frac{3}{2}}} - \frac{35 \, {\left(3 \, a^{4} b x^{2} + a^{5} x\right)}}{x^{\frac{5}{2}}}\right)} A + \frac{2}{315} \, {\left(5 \, {\left(7 \, b^{5} x^{2} + 9 \, a b^{4} x\right)} x^{\frac{5}{2}} + 36 \, {\left(5 \, a b^{4} x^{2} + 7 \, a^{2} b^{3} x\right)} x^{\frac{3}{2}} + 126 \, {\left(3 \, a^{2} b^{3} x^{2} + 5 \, a^{3} b^{2} x\right)} \sqrt{x} + \frac{420 \, {\left(a^{3} b^{2} x^{2} + 3 \, a^{4} b x\right)}}{\sqrt{x}} + \frac{315 \, {\left(a^{4} b x^{2} - a^{5} x\right)}}{x^{\frac{3}{2}}}\right)} B"," ",0,"2/105*(3*(5*b^5*x^2 + 7*a*b^4*x)*x^(3/2) + 28*(3*a*b^4*x^2 + 5*a^2*b^3*x)*sqrt(x) + 210*(a^2*b^3*x^2 + 3*a^3*b^2*x)/sqrt(x) + 420*(a^3*b^2*x^2 - a^4*b*x)/x^(3/2) - 35*(3*a^4*b*x^2 + a^5*x)/x^(5/2))*A + 2/315*(5*(7*b^5*x^2 + 9*a*b^4*x)*x^(5/2) + 36*(5*a*b^4*x^2 + 7*a^2*b^3*x)*x^(3/2) + 126*(3*a^2*b^3*x^2 + 5*a^3*b^2*x)*sqrt(x) + 420*(a^3*b^2*x^2 + 3*a^4*b*x)/sqrt(x) + 315*(a^4*b*x^2 - a^5*x)/x^(3/2))*B","A",0
807,1,234,0,0.576381," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(7/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left({\left(3 \, b^{5} x^{2} + 5 \, a b^{4} x\right)} \sqrt{x} + \frac{20 \, {\left(a b^{4} x^{2} + 3 \, a^{2} b^{3} x\right)}}{\sqrt{x}} + \frac{90 \, {\left(a^{2} b^{3} x^{2} - a^{3} b^{2} x\right)}}{x^{\frac{3}{2}}} - \frac{20 \, {\left(3 \, a^{3} b^{2} x^{2} + a^{4} b x\right)}}{x^{\frac{5}{2}}} - \frac{5 \, a^{4} b x^{2} + 3 \, a^{5} x}{x^{\frac{7}{2}}}\right)} A + \frac{2}{105} \, {\left(3 \, {\left(5 \, b^{5} x^{2} + 7 \, a b^{4} x\right)} x^{\frac{3}{2}} + 28 \, {\left(3 \, a b^{4} x^{2} + 5 \, a^{2} b^{3} x\right)} \sqrt{x} + \frac{210 \, {\left(a^{2} b^{3} x^{2} + 3 \, a^{3} b^{2} x\right)}}{\sqrt{x}} + \frac{420 \, {\left(a^{3} b^{2} x^{2} - a^{4} b x\right)}}{x^{\frac{3}{2}}} - \frac{35 \, {\left(3 \, a^{4} b x^{2} + a^{5} x\right)}}{x^{\frac{5}{2}}}\right)} B"," ",0,"2/15*((3*b^5*x^2 + 5*a*b^4*x)*sqrt(x) + 20*(a*b^4*x^2 + 3*a^2*b^3*x)/sqrt(x) + 90*(a^2*b^3*x^2 - a^3*b^2*x)/x^(3/2) - 20*(3*a^3*b^2*x^2 + a^4*b*x)/x^(5/2) - (5*a^4*b*x^2 + 3*a^5*x)/x^(7/2))*A + 2/105*(3*(5*b^5*x^2 + 7*a*b^4*x)*x^(3/2) + 28*(3*a*b^4*x^2 + 5*a^2*b^3*x)*sqrt(x) + 210*(a^2*b^3*x^2 + 3*a^3*b^2*x)/sqrt(x) + 420*(a^3*b^2*x^2 - a^4*b*x)/x^(3/2) - 35*(3*a^4*b*x^2 + a^5*x)/x^(5/2))*B","A",0
808,1,234,0,0.630530," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(9/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left({\left(3 \, b^{5} x^{2} + 5 \, a b^{4} x\right)} \sqrt{x} + \frac{20 \, {\left(a b^{4} x^{2} + 3 \, a^{2} b^{3} x\right)}}{\sqrt{x}} + \frac{90 \, {\left(a^{2} b^{3} x^{2} - a^{3} b^{2} x\right)}}{x^{\frac{3}{2}}} - \frac{20 \, {\left(3 \, a^{3} b^{2} x^{2} + a^{4} b x\right)}}{x^{\frac{5}{2}}} - \frac{5 \, a^{4} b x^{2} + 3 \, a^{5} x}{x^{\frac{7}{2}}}\right)} B + \frac{2}{105} \, A {\left(\frac{35 \, {\left(b^{5} x^{2} + 3 \, a b^{4} x\right)}}{\sqrt{x}} + \frac{420 \, {\left(a b^{4} x^{2} - a^{2} b^{3} x\right)}}{x^{\frac{3}{2}}} - \frac{210 \, {\left(3 \, a^{2} b^{3} x^{2} + a^{3} b^{2} x\right)}}{x^{\frac{5}{2}}} - \frac{28 \, {\left(5 \, a^{3} b^{2} x^{2} + 3 \, a^{4} b x\right)}}{x^{\frac{7}{2}}} - \frac{3 \, {\left(7 \, a^{4} b x^{2} + 5 \, a^{5} x\right)}}{x^{\frac{9}{2}}}\right)}"," ",0,"2/15*((3*b^5*x^2 + 5*a*b^4*x)*sqrt(x) + 20*(a*b^4*x^2 + 3*a^2*b^3*x)/sqrt(x) + 90*(a^2*b^3*x^2 - a^3*b^2*x)/x^(3/2) - 20*(3*a^3*b^2*x^2 + a^4*b*x)/x^(5/2) - (5*a^4*b*x^2 + 3*a^5*x)/x^(7/2))*B + 2/105*A*(35*(b^5*x^2 + 3*a*b^4*x)/sqrt(x) + 420*(a*b^4*x^2 - a^2*b^3*x)/x^(3/2) - 210*(3*a^2*b^3*x^2 + a^3*b^2*x)/x^(5/2) - 28*(5*a^3*b^2*x^2 + 3*a^4*b*x)/x^(7/2) - 3*(7*a^4*b*x^2 + 5*a^5*x)/x^(9/2))","A",0
809,1,257,0,1.516604," ","integrate(x^(7/2)*(B*x+A)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{10 \, {\left(7 \, B b^{4} x^{2} + 9 \, B a b^{3} x\right)} x^{\frac{7}{2}} - 2 \, {\left(5 \, {\left(11 \, B a b^{3} - 9 \, A b^{4}\right)} x^{2} + 9 \, {\left(9 \, B a^{2} b^{2} - 7 \, A a b^{3}\right)} x\right)} x^{\frac{5}{2}} + 6 \, {\left(3 \, {\left(11 \, B a^{2} b^{2} - 9 \, A a b^{3}\right)} x^{2} + 7 \, {\left(9 \, B a^{3} b - 7 \, A a^{2} b^{2}\right)} x\right)} x^{\frac{3}{2}} + 21 \, {\left(3 \, {\left(11 \, B a^{3} b - 9 \, A a^{2} b^{2}\right)} x^{2} + 5 \, {\left(9 \, B a^{4} - 7 \, A a^{3} b\right)} x\right)} \sqrt{x}}{315 \, {\left(b^{5} x + a b^{4}\right)}} - \frac{2 \, {\left(B a^{5} - A a^{4} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{5}} - \frac{{\left(11 \, B a^{3} b - 9 \, A a^{2} b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(B a^{4} - A a^{3} b\right)} \sqrt{x}}{3 \, b^{5}}"," ",0,"1/315*(10*(7*B*b^4*x^2 + 9*B*a*b^3*x)*x^(7/2) - 2*(5*(11*B*a*b^3 - 9*A*b^4)*x^2 + 9*(9*B*a^2*b^2 - 7*A*a*b^3)*x)*x^(5/2) + 6*(3*(11*B*a^2*b^2 - 9*A*a*b^3)*x^2 + 7*(9*B*a^3*b - 7*A*a^2*b^2)*x)*x^(3/2) + 21*(3*(11*B*a^3*b - 9*A*a^2*b^2)*x^2 + 5*(9*B*a^4 - 7*A*a^3*b)*x)*sqrt(x))/(b^5*x + a*b^4) - 2*(B*a^5 - A*a^4*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^5) - 1/3*((11*B*a^3*b - 9*A*a^2*b^2)*x^(3/2) - 6*(B*a^4 - A*a^3*b)*sqrt(x))/b^5","A",0
810,1,203,0,1.743311," ","integrate(x^(5/2)*(B*x+A)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{6 \, {\left(5 \, B b^{3} x^{2} + 7 \, B a b^{2} x\right)} x^{\frac{5}{2}} - 2 \, {\left(3 \, {\left(9 \, B a b^{2} - 7 \, A b^{3}\right)} x^{2} + 7 \, {\left(7 \, B a^{2} b - 5 \, A a b^{2}\right)} x\right)} x^{\frac{3}{2}} - 7 \, {\left(3 \, {\left(9 \, B a^{2} b - 7 \, A a b^{2}\right)} x^{2} + 5 \, {\left(7 \, B a^{3} - 5 \, A a^{2} b\right)} x\right)} \sqrt{x}}{105 \, {\left(b^{4} x + a b^{3}\right)}} + \frac{2 \, {\left(B a^{4} - A a^{3} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}} + \frac{{\left(9 \, B a^{2} b - 7 \, A a b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(B a^{3} - A a^{2} b\right)} \sqrt{x}}{3 \, b^{4}}"," ",0,"1/105*(6*(5*B*b^3*x^2 + 7*B*a*b^2*x)*x^(5/2) - 2*(3*(9*B*a*b^2 - 7*A*b^3)*x^2 + 7*(7*B*a^2*b - 5*A*a*b^2)*x)*x^(3/2) - 7*(3*(9*B*a^2*b - 7*A*a*b^2)*x^2 + 5*(7*B*a^3 - 5*A*a^2*b)*x)*sqrt(x))/(b^4*x + a*b^3) + 2*(B*a^4 - A*a^3*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) + 1/3*((9*B*a^2*b - 7*A*a*b^2)*x^(3/2) - 6*(B*a^3 - A*a^2*b)*sqrt(x))/b^4","A",0
811,1,147,0,1.592459," ","integrate(x^(3/2)*(B*x+A)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, B b^{2} x^{2} + 5 \, B a b x\right)} x^{\frac{3}{2}} + {\left(3 \, {\left(7 \, B a b - 5 \, A b^{2}\right)} x^{2} + 5 \, {\left(5 \, B a^{2} - 3 \, A a b\right)} x\right)} \sqrt{x}}{15 \, {\left(b^{3} x + a b^{2}\right)}} - \frac{2 \, {\left(B a^{3} - A a^{2} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} - \frac{{\left(7 \, B a b - 5 \, A b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(B a^{2} - A a b\right)} \sqrt{x}}{3 \, b^{3}}"," ",0,"1/15*(2*(3*B*b^2*x^2 + 5*B*a*b*x)*x^(3/2) + (3*(7*B*a*b - 5*A*b^2)*x^2 + 5*(5*B*a^2 - 3*A*a*b)*x)*sqrt(x))/(b^3*x + a*b^2) - 2*(B*a^3 - A*a^2*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) - 1/3*((7*B*a*b - 5*A*b^2)*x^(3/2) - 6*(B*a^2 - A*a*b)*sqrt(x))/b^3","A",0
812,1,122,0,1.342204," ","integrate((B*x+A)*x^(1/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{{\left({\left(B a b - A b^{2}\right)} x^{2} + {\left(B a^{2} - A a b\right)} x\right)} \sqrt{x}}{a b^{2} x + a^{2} b} + \frac{2 \, {\left(B a^{2} - A a b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{{\left(5 \, B a b - 3 \, A b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(B a^{2} - A a b\right)} \sqrt{x}}{3 \, a b^{2}}"," ",0,"-((B*a*b - A*b^2)*x^2 + (B*a^2 - A*a*b)*x)*sqrt(x)/(a*b^2*x + a^2*b) + 2*(B*a^2 - A*a*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + 1/3*((5*B*a*b - 3*A*b^2)*x^(3/2) - 6*(B*a^2 - A*a*b)*sqrt(x))/(a*b^2)","A",0
813,1,140,0,1.540362," ","integrate((B*x+A)/x^(1/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b} + \frac{{\left({\left(3 \, B a b - A b^{2}\right)} x^{2} + 3 \, {\left(B a^{2} + A a b\right)} x\right)} \sqrt{x} + \frac{2 \, {\left(A a b x^{2} + 3 \, A a^{2} x\right)}}{\sqrt{x}}}{3 \, {\left(a^{2} b x + a^{3}\right)}} - \frac{{\left(3 \, B a b - A b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(B a^{2} - A a b\right)} \sqrt{x}}{3 \, a^{2} b}"," ",0,"-2*(B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b) + 1/3*(((3*B*a*b - A*b^2)*x^2 + 3*(B*a^2 + A*a*b)*x)*sqrt(x) + 2*(A*a*b*x^2 + 3*A*a^2*x)/sqrt(x))/(a^2*b*x + a^3) - 1/3*((3*B*a*b - A*b^2)*x^(3/2) - 6*(B*a^2 - A*a*b)*sqrt(x))/(a^2*b)","B",0
814,1,180,0,1.606619," ","integrate((B*x+A)/x^(3/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a} - \frac{{\left({\left(B a b^{2} + A b^{3}\right)} x^{2} - 3 \, {\left(B a^{2} b - 3 \, A a b^{2}\right)} x\right)} \sqrt{x} - \frac{2 \, {\left({\left(B a^{2} b + A a b^{2}\right)} x^{2} + 3 \, {\left(B a^{3} - 3 \, A a^{2} b\right)} x\right)}}{\sqrt{x}} - \frac{6 \, {\left(A a^{2} b x^{2} - A a^{3} x\right)}}{x^{\frac{3}{2}}}}{3 \, {\left(a^{3} b x + a^{4}\right)}} + \frac{{\left(B a b + A b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(B a^{2} - A a b\right)} \sqrt{x}}{3 \, a^{3}}"," ",0,"2*(B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a) - 1/3*(((B*a*b^2 + A*b^3)*x^2 - 3*(B*a^2*b - 3*A*a*b^2)*x)*sqrt(x) - 2*((B*a^2*b + A*a*b^2)*x^2 + 3*(B*a^3 - 3*A*a^2*b)*x)/sqrt(x) - 6*(A*a^2*b*x^2 - A*a^3*x)/x^(3/2))/(a^3*b*x + a^4) + 1/3*((B*a*b + A*b^2)*x^(3/2) - 6*(B*a^2 - A*a*b)*sqrt(x))/a^3","B",0
815,1,244,0,1.670977," ","integrate((B*x+A)/x^(5/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{{\left({\left(B a b^{3} - 3 \, A b^{4}\right)} x^{2} + 3 \, {\left(3 \, B a^{2} b^{2} - 5 \, A a b^{3}\right)} x\right)} \sqrt{x} - \frac{2 \, {\left({\left(B a^{2} b^{2} - 3 \, A a b^{3}\right)} x^{2} - 3 \, {\left(3 \, B a^{3} b - 5 \, A a^{2} b^{2}\right)} x\right)}}{\sqrt{x}} - \frac{2 \, {\left(3 \, {\left(B a^{3} b - 3 \, A a^{2} b^{2}\right)} x^{2} - {\left(3 \, B a^{4} - 5 \, A a^{3} b\right)} x\right)}}{x^{\frac{3}{2}}} + \frac{2 \, {\left(3 \, A a^{3} b x^{2} + A a^{4} x\right)}}{x^{\frac{5}{2}}}}{3 \, {\left(a^{4} b x + a^{5}\right)}} - \frac{2 \, {\left(B a b - A b^{2}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} + \frac{{\left(B a b^{2} - 3 \, A b^{3}\right)} x^{\frac{3}{2}} + 6 \, {\left(B a^{2} b - A a b^{2}\right)} \sqrt{x}}{3 \, a^{4}}"," ",0,"-1/3*(((B*a*b^3 - 3*A*b^4)*x^2 + 3*(3*B*a^2*b^2 - 5*A*a*b^3)*x)*sqrt(x) - 2*((B*a^2*b^2 - 3*A*a*b^3)*x^2 - 3*(3*B*a^3*b - 5*A*a^2*b^2)*x)/sqrt(x) - 2*(3*(B*a^3*b - 3*A*a^2*b^2)*x^2 - (3*B*a^4 - 5*A*a^3*b)*x)/x^(3/2) + 2*(3*A*a^3*b*x^2 + A*a^4*x)/x^(5/2))/(a^4*b*x + a^5) - 2*(B*a*b - A*b^2)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) + 1/3*((B*a*b^2 - 3*A*b^3)*x^(3/2) + 6*(B*a^2*b - A*a*b^2)*sqrt(x))/a^4","B",0
816,1,305,0,1.653045," ","integrate((B*x+A)/x^(7/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{5 \, {\left({\left(3 \, B a b^{4} - 5 \, A b^{5}\right)} x^{2} + 3 \, {\left(5 \, B a^{2} b^{3} - 7 \, A a b^{4}\right)} x\right)} \sqrt{x} - \frac{10 \, {\left({\left(3 \, B a^{2} b^{3} - 5 \, A a b^{4}\right)} x^{2} - 3 \, {\left(5 \, B a^{3} b^{2} - 7 \, A a^{2} b^{3}\right)} x\right)}}{\sqrt{x}} - \frac{10 \, {\left(3 \, {\left(3 \, B a^{3} b^{2} - 5 \, A a^{2} b^{3}\right)} x^{2} - {\left(5 \, B a^{4} b - 7 \, A a^{3} b^{2}\right)} x\right)}}{x^{\frac{3}{2}}} - \frac{2 \, {\left(5 \, {\left(3 \, B a^{4} b - 5 \, A a^{3} b^{2}\right)} x^{2} + {\left(5 \, B a^{5} - 7 \, A a^{4} b\right)} x\right)}}{x^{\frac{5}{2}}} - \frac{2 \, {\left(5 \, A a^{4} b x^{2} + 3 \, A a^{5} x\right)}}{x^{\frac{7}{2}}}}{15 \, {\left(a^{5} b x + a^{6}\right)}} + \frac{2 \, {\left(B a b^{2} - A b^{3}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} - \frac{{\left(3 \, B a b^{3} - 5 \, A b^{4}\right)} x^{\frac{3}{2}} + 6 \, {\left(B a^{2} b^{2} - A a b^{3}\right)} \sqrt{x}}{3 \, a^{5}}"," ",0,"1/15*(5*((3*B*a*b^4 - 5*A*b^5)*x^2 + 3*(5*B*a^2*b^3 - 7*A*a*b^4)*x)*sqrt(x) - 10*((3*B*a^2*b^3 - 5*A*a*b^4)*x^2 - 3*(5*B*a^3*b^2 - 7*A*a^2*b^3)*x)/sqrt(x) - 10*(3*(3*B*a^3*b^2 - 5*A*a^2*b^3)*x^2 - (5*B*a^4*b - 7*A*a^3*b^2)*x)/x^(3/2) - 2*(5*(3*B*a^4*b - 5*A*a^3*b^2)*x^2 + (5*B*a^5 - 7*A*a^4*b)*x)/x^(5/2) - 2*(5*A*a^4*b*x^2 + 3*A*a^5*x)/x^(7/2))/(a^5*b*x + a^6) + 2*(B*a*b^2 - A*b^3)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) - 1/3*((3*B*a*b^3 - 5*A*b^4)*x^(3/2) + 6*(B*a^2*b^2 - A*a*b^3)*sqrt(x))/a^5","B",0
817,1,357,0,1.508800," ","integrate((B*x+A)/x^(9/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{35 \, {\left({\left(5 \, B a b^{5} - 7 \, A b^{6}\right)} x^{2} + 3 \, {\left(7 \, B a^{2} b^{4} - 9 \, A a b^{5}\right)} x\right)} \sqrt{x} - \frac{70 \, {\left({\left(5 \, B a^{2} b^{4} - 7 \, A a b^{5}\right)} x^{2} - 3 \, {\left(7 \, B a^{3} b^{3} - 9 \, A a^{2} b^{4}\right)} x\right)}}{\sqrt{x}} - \frac{70 \, {\left(3 \, {\left(5 \, B a^{3} b^{3} - 7 \, A a^{2} b^{4}\right)} x^{2} - {\left(7 \, B a^{4} b^{2} - 9 \, A a^{3} b^{3}\right)} x\right)}}{x^{\frac{3}{2}}} - \frac{14 \, {\left(5 \, {\left(5 \, B a^{4} b^{2} - 7 \, A a^{3} b^{3}\right)} x^{2} + {\left(7 \, B a^{5} b - 9 \, A a^{4} b^{2}\right)} x\right)}}{x^{\frac{5}{2}}} + \frac{2 \, {\left(7 \, {\left(5 \, B a^{5} b - 7 \, A a^{4} b^{2}\right)} x^{2} + 3 \, {\left(7 \, B a^{6} - 9 \, A a^{5} b\right)} x\right)}}{x^{\frac{7}{2}}} + \frac{6 \, {\left(7 \, A a^{5} b x^{2} + 5 \, A a^{6} x\right)}}{x^{\frac{9}{2}}}}{105 \, {\left(a^{6} b x + a^{7}\right)}} - \frac{2 \, {\left(B a b^{3} - A b^{4}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{4}} + \frac{{\left(5 \, B a b^{4} - 7 \, A b^{5}\right)} x^{\frac{3}{2}} + 6 \, {\left(B a^{2} b^{3} - A a b^{4}\right)} \sqrt{x}}{3 \, a^{6}}"," ",0,"-1/105*(35*((5*B*a*b^5 - 7*A*b^6)*x^2 + 3*(7*B*a^2*b^4 - 9*A*a*b^5)*x)*sqrt(x) - 70*((5*B*a^2*b^4 - 7*A*a*b^5)*x^2 - 3*(7*B*a^3*b^3 - 9*A*a^2*b^4)*x)/sqrt(x) - 70*(3*(5*B*a^3*b^3 - 7*A*a^2*b^4)*x^2 - (7*B*a^4*b^2 - 9*A*a^3*b^3)*x)/x^(3/2) - 14*(5*(5*B*a^4*b^2 - 7*A*a^3*b^3)*x^2 + (7*B*a^5*b - 9*A*a^4*b^2)*x)/x^(5/2) + 2*(7*(5*B*a^5*b - 7*A*a^4*b^2)*x^2 + 3*(7*B*a^6 - 9*A*a^5*b)*x)/x^(7/2) + 6*(7*A*a^5*b*x^2 + 5*A*a^6*x)/x^(9/2))/(a^6*b*x + a^7) - 2*(B*a*b^3 - A*b^4)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4) + 1/3*((5*B*a*b^4 - 7*A*b^5)*x^(3/2) + 6*(B*a^2*b^3 - A*a*b^4)*sqrt(x))/a^6","B",0
818,1,273,0,1.858873," ","integrate(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{16 \, {\left(3 \, B b^{4} x^{2} + 5 \, B a b^{3} x\right)} x^{\frac{7}{2}} + {\left(89 \, {\left(11 \, B a b^{3} - 5 \, A b^{4}\right)} x^{2} + 285 \, {\left(3 \, B a^{2} b^{2} - A a b^{3}\right)} x\right)} x^{\frac{5}{2}} + 12 \, {\left(12 \, {\left(11 \, B a^{2} b^{2} - 5 \, A a b^{3}\right)} x^{2} + 35 \, {\left(3 \, B a^{3} b - A a^{2} b^{2}\right)} x\right)} x^{\frac{3}{2}} + 7 \, {\left(9 \, {\left(11 \, B a^{3} b - 5 \, A a^{2} b^{2}\right)} x^{2} + 25 \, {\left(3 \, B a^{4} - A a^{3} b\right)} x\right)} \sqrt{x}}{120 \, {\left(b^{7} x^{3} + 3 \, a b^{6} x^{2} + 3 \, a^{2} b^{5} x + a^{3} b^{4}\right)}} - \frac{7 \, {\left(9 \, B a^{3} - 5 \, A a^{2} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{5}} - \frac{7 \, {\left({\left(11 \, B a b - 5 \, A b^{2}\right)} x^{\frac{3}{2}} - 2 \, {\left(9 \, B a^{2} - 5 \, A a b\right)} \sqrt{x}\right)}}{8 \, b^{5}}"," ",0,"1/120*(16*(3*B*b^4*x^2 + 5*B*a*b^3*x)*x^(7/2) + (89*(11*B*a*b^3 - 5*A*b^4)*x^2 + 285*(3*B*a^2*b^2 - A*a*b^3)*x)*x^(5/2) + 12*(12*(11*B*a^2*b^2 - 5*A*a*b^3)*x^2 + 35*(3*B*a^3*b - A*a^2*b^2)*x)*x^(3/2) + 7*(9*(11*B*a^3*b - 5*A*a^2*b^2)*x^2 + 25*(3*B*a^4 - A*a^3*b)*x)*sqrt(x))/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4) - 7/4*(9*B*a^3 - 5*A*a^2*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^5) - 7/8*((11*B*a*b - 5*A*b^2)*x^(3/2) - 2*(9*B*a^2 - 5*A*a*b)*sqrt(x))/b^5","A",0
819,1,252,0,1.702396," ","integrate(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{{\left({\left(89 \, B a b^{3} - 35 \, A b^{4}\right)} x^{2} + 3 \, {\left(19 \, B a^{2} b^{2} - 5 \, A a b^{3}\right)} x\right)} x^{\frac{5}{2}} + 12 \, {\left(4 \, {\left(3 \, B a^{2} b^{2} - A a b^{3}\right)} x^{2} + {\left(7 \, B a^{3} b - A a^{2} b^{2}\right)} x\right)} x^{\frac{3}{2}} + {\left(21 \, {\left(3 \, B a^{3} b - A a^{2} b^{2}\right)} x^{2} + 5 \, {\left(7 \, B a^{4} - A a^{3} b\right)} x\right)} \sqrt{x}}{24 \, {\left(a b^{6} x^{3} + 3 \, a^{2} b^{5} x^{2} + 3 \, a^{3} b^{4} x + a^{4} b^{3}\right)}} + \frac{5 \, {\left(7 \, B a^{2} - 3 \, A a b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{4}} + \frac{5 \, {\left(7 \, {\left(3 \, B a b - A b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(7 \, B a^{2} - 3 \, A a b\right)} \sqrt{x}\right)}}{24 \, a b^{4}}"," ",0,"-1/24*(((89*B*a*b^3 - 35*A*b^4)*x^2 + 3*(19*B*a^2*b^2 - 5*A*a*b^3)*x)*x^(5/2) + 12*(4*(3*B*a^2*b^2 - A*a*b^3)*x^2 + (7*B*a^3*b - A*a^2*b^2)*x)*x^(3/2) + (21*(3*B*a^3*b - A*a^2*b^2)*x^2 + 5*(7*B*a^4 - A*a^3*b)*x)*sqrt(x))/(a*b^6*x^3 + 3*a^2*b^5*x^2 + 3*a^3*b^4*x + a^4*b^3) + 5/4*(7*B*a^2 - 3*A*a*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) + 5/24*(7*(3*B*a*b - A*b^2)*x^(3/2) - 6*(7*B*a^2 - 3*A*a*b)*sqrt(x))/(a*b^4)","A",0
820,1,237,0,1.579434," ","integrate(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(5 \, {\left(7 \, B a b^{3} - A b^{4}\right)} x^{2} + 3 \, {\left(5 \, B a^{2} b^{2} + A a b^{3}\right)} x\right)} x^{\frac{5}{2}} + 12 \, {\left(4 \, B a^{2} b^{2} x^{2} + {\left(B a^{3} b + A a^{2} b^{2}\right)} x\right)} x^{\frac{3}{2}} + {\left(3 \, {\left(7 \, B a^{3} b - A a^{2} b^{2}\right)} x^{2} + {\left(5 \, B a^{4} + A a^{3} b\right)} x\right)} \sqrt{x}}{24 \, {\left(a^{2} b^{5} x^{3} + 3 \, a^{3} b^{4} x^{2} + 3 \, a^{4} b^{3} x + a^{5} b^{2}\right)}} - \frac{3 \, {\left(5 \, B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{3}} - \frac{5 \, {\left(7 \, B a b - A b^{2}\right)} x^{\frac{3}{2}} - 18 \, {\left(5 \, B a^{2} - A a b\right)} \sqrt{x}}{24 \, a^{2} b^{3}}"," ",0,"1/24*((5*(7*B*a*b^3 - A*b^4)*x^2 + 3*(5*B*a^2*b^2 + A*a*b^3)*x)*x^(5/2) + 12*(4*B*a^2*b^2*x^2 + (B*a^3*b + A*a^2*b^2)*x)*x^(3/2) + (3*(7*B*a^3*b - A*a^2*b^2)*x^2 + (5*B*a^4 + A*a^3*b)*x)*sqrt(x))/(a^2*b^5*x^3 + 3*a^3*b^4*x^2 + 3*a^4*b^3*x + a^5*b^2) - 3/4*(5*B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) - 1/24*(5*(7*B*a*b - A*b^2)*x^(3/2) - 18*(5*B*a^2 - A*a*b)*sqrt(x))/(a^2*b^3)","A",0
821,1,218,0,1.679539," ","integrate((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{12 \, {\left(B a^{3} b + A a^{2} b^{2}\right)} x^{\frac{5}{2}} - {\left({\left(5 \, B a b^{3} + A b^{4}\right)} x^{2} - 3 \, {\left(B a^{2} b^{2} + A a b^{3}\right)} x\right)} x^{\frac{5}{2}} - {\left(3 \, {\left(B a^{3} b - 3 \, A a^{2} b^{2}\right)} x^{2} - {\left(B a^{4} + 17 \, A a^{3} b\right)} x\right)} \sqrt{x}}{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{{\left(3 \, B a + A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a b^{2}} + \frac{{\left(5 \, B a b + A b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(3 \, B a^{2} + A a b\right)} \sqrt{x}}{24 \, a^{3} b^{2}}"," ",0,"1/24*(12*(B*a^3*b + A*a^2*b^2)*x^(5/2) - ((5*B*a*b^3 + A*b^4)*x^2 - 3*(B*a^2*b^2 + A*a*b^3)*x)*x^(5/2) - (3*(B*a^3*b - 3*A*a^2*b^2)*x^2 - (B*a^4 + 17*A*a^3*b)*x)*sqrt(x))/(a^3*b^4*x^3 + 3*a^4*b^3*x^2 + 3*a^5*b^2*x + a^6*b) + 1/4*(3*B*a + A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b^2) + 1/24*((5*B*a*b + A*b^2)*x^(3/2) - 6*(3*B*a^2 + A*a*b)*sqrt(x))/(a^3*b^2)","B",0
822,1,234,0,1.710387," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\frac{12 \, {\left(B a^{3} b + 5 \, A a^{2} b^{2}\right)} x^{\frac{5}{2}} - {\left({\left(B a b^{3} + A b^{4}\right)} x^{2} - 3 \, {\left(B a^{2} b^{2} + 5 \, A a b^{3}\right)} x\right)} x^{\frac{5}{2}} + {\left(9 \, {\left(B a^{3} b + A a^{2} b^{2}\right)} x^{2} + 17 \, {\left(B a^{4} + 5 \, A a^{3} b\right)} x\right)} \sqrt{x} + \frac{16 \, {\left(A a^{3} b x^{2} + 3 \, A a^{4} x\right)}}{\sqrt{x}}}{24 \, {\left(a^{4} b^{3} x^{3} + 3 \, a^{5} b^{2} x^{2} + 3 \, a^{6} b x + a^{7}\right)}} + \frac{{\left(B a + 3 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{2} b} + \frac{{\left(B a b + A b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(B a^{2} + 3 \, A a b\right)} \sqrt{x}}{24 \, a^{4} b}"," ",0,"1/24*(12*(B*a^3*b + 5*A*a^2*b^2)*x^(5/2) - ((B*a*b^3 + A*b^4)*x^2 - 3*(B*a^2*b^2 + 5*A*a*b^3)*x)*x^(5/2) + (9*(B*a^3*b + A*a^2*b^2)*x^2 + 17*(B*a^4 + 5*A*a^3*b)*x)*sqrt(x) + 16*(A*a^3*b*x^2 + 3*A*a^4*x)/sqrt(x))/(a^4*b^3*x^3 + 3*a^5*b^2*x^2 + 3*a^6*b*x + a^7) + 1/4*(B*a + 3*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2*b) + 1/24*((B*a*b + A*b^2)*x^(3/2) - 6*(B*a^2 + 3*A*a*b)*sqrt(x))/(a^4*b)","B",0
823,1,280,0,1.652688," ","integrate((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{60 \, {\left(B a^{3} b^{2} - 7 \, A a^{2} b^{3}\right)} x^{\frac{5}{2}} - {\left({\left(B a b^{4} + 5 \, A b^{5}\right)} x^{2} - 15 \, {\left(B a^{2} b^{3} - 7 \, A a b^{4}\right)} x\right)} x^{\frac{5}{2}} + {\left(9 \, {\left(B a^{3} b^{2} + 5 \, A a^{2} b^{3}\right)} x^{2} + 85 \, {\left(B a^{4} b - 7 \, A a^{3} b^{2}\right)} x\right)} \sqrt{x} + \frac{16 \, {\left({\left(B a^{4} b + 5 \, A a^{3} b^{2}\right)} x^{2} + 3 \, {\left(B a^{5} - 7 \, A a^{4} b\right)} x\right)}}{\sqrt{x}} + \frac{48 \, {\left(A a^{4} b x^{2} - A a^{5} x\right)}}{x^{\frac{3}{2}}}}{24 \, {\left(a^{5} b^{3} x^{3} + 3 \, a^{6} b^{2} x^{2} + 3 \, a^{7} b x + a^{8}\right)}} + \frac{3 \, {\left(B a - 5 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{3}} + \frac{{\left(B a b + 5 \, A b^{2}\right)} x^{\frac{3}{2}} - 18 \, {\left(B a^{2} - 5 \, A a b\right)} \sqrt{x}}{24 \, a^{5}}"," ",0,"1/24*(60*(B*a^3*b^2 - 7*A*a^2*b^3)*x^(5/2) - ((B*a*b^4 + 5*A*b^5)*x^2 - 15*(B*a^2*b^3 - 7*A*a*b^4)*x)*x^(5/2) + (9*(B*a^3*b^2 + 5*A*a^2*b^3)*x^2 + 85*(B*a^4*b - 7*A*a^3*b^2)*x)*sqrt(x) + 16*((B*a^4*b + 5*A*a^3*b^2)*x^2 + 3*(B*a^5 - 7*A*a^4*b)*x)/sqrt(x) + 48*(A*a^4*b*x^2 - A*a^5*x)/x^(3/2))/(a^5*b^3*x^3 + 3*a^6*b^2*x^2 + 3*a^7*b*x + a^8) + 3/4*(B*a - 5*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) + 1/24*((B*a*b + 5*A*b^2)*x^(3/2) - 18*(B*a^2 - 5*A*a*b)*sqrt(x))/a^5","B",0
824,1,341,0,1.663074," ","integrate((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{420 \, {\left(B a^{3} b^{3} - 3 \, A a^{2} b^{4}\right)} x^{\frac{5}{2}} + 5 \, {\left({\left(B a b^{5} - 7 \, A b^{6}\right)} x^{2} + 21 \, {\left(B a^{2} b^{4} - 3 \, A a b^{5}\right)} x\right)} x^{\frac{5}{2}} - 5 \, {\left(9 \, {\left(B a^{3} b^{3} - 7 \, A a^{2} b^{4}\right)} x^{2} - 119 \, {\left(B a^{4} b^{2} - 3 \, A a^{3} b^{3}\right)} x\right)} \sqrt{x} - \frac{16 \, {\left(5 \, {\left(B a^{4} b^{2} - 7 \, A a^{3} b^{3}\right)} x^{2} - 21 \, {\left(B a^{5} b - 3 \, A a^{4} b^{2}\right)} x\right)}}{\sqrt{x}} - \frac{48 \, {\left({\left(B a^{5} b - 7 \, A a^{4} b^{2}\right)} x^{2} - {\left(B a^{6} - 3 \, A a^{5} b\right)} x\right)}}{x^{\frac{3}{2}}} + \frac{16 \, {\left(3 \, A a^{5} b x^{2} + A a^{6} x\right)}}{x^{\frac{5}{2}}}}{24 \, {\left(a^{6} b^{3} x^{3} + 3 \, a^{7} b^{2} x^{2} + 3 \, a^{8} b x + a^{9}\right)}} - \frac{5 \, {\left(3 \, B a b - 7 \, A b^{2}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{4}} + \frac{5 \, {\left({\left(B a b^{2} - 7 \, A b^{3}\right)} x^{\frac{3}{2}} + 6 \, {\left(3 \, B a^{2} b - 7 \, A a b^{2}\right)} \sqrt{x}\right)}}{24 \, a^{6}}"," ",0,"-1/24*(420*(B*a^3*b^3 - 3*A*a^2*b^4)*x^(5/2) + 5*((B*a*b^5 - 7*A*b^6)*x^2 + 21*(B*a^2*b^4 - 3*A*a*b^5)*x)*x^(5/2) - 5*(9*(B*a^3*b^3 - 7*A*a^2*b^4)*x^2 - 119*(B*a^4*b^2 - 3*A*a^3*b^3)*x)*sqrt(x) - 16*(5*(B*a^4*b^2 - 7*A*a^3*b^3)*x^2 - 21*(B*a^5*b - 3*A*a^4*b^2)*x)/sqrt(x) - 48*((B*a^5*b - 7*A*a^4*b^2)*x^2 - (B*a^6 - 3*A*a^5*b)*x)/x^(3/2) + 16*(3*A*a^5*b*x^2 + A*a^6*x)/x^(5/2))/(a^6*b^3*x^3 + 3*a^7*b^2*x^2 + 3*a^8*b*x + a^9) - 5/4*(3*B*a*b - 7*A*b^2)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4) + 5/24*((B*a*b^2 - 7*A*b^3)*x^(3/2) + 6*(3*B*a^2*b - 7*A*a*b^2)*sqrt(x))/a^6","A",0
825,1,404,0,1.676086," ","integrate((B*x+A)/x^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1260 \, {\left(5 \, B a^{3} b^{4} - 11 \, A a^{2} b^{5}\right)} x^{\frac{5}{2}} + 35 \, {\left(5 \, {\left(B a b^{6} - 3 \, A b^{7}\right)} x^{2} + 9 \, {\left(5 \, B a^{2} b^{5} - 11 \, A a b^{6}\right)} x\right)} x^{\frac{5}{2}} - 105 \, {\left(15 \, {\left(B a^{3} b^{4} - 3 \, A a^{2} b^{5}\right)} x^{2} - 17 \, {\left(5 \, B a^{4} b^{3} - 11 \, A a^{3} b^{4}\right)} x\right)} \sqrt{x} - \frac{112 \, {\left(25 \, {\left(B a^{4} b^{3} - 3 \, A a^{3} b^{4}\right)} x^{2} - 9 \, {\left(5 \, B a^{5} b^{2} - 11 \, A a^{4} b^{3}\right)} x\right)}}{\sqrt{x}} - \frac{48 \, {\left(35 \, {\left(B a^{5} b^{2} - 3 \, A a^{4} b^{3}\right)} x^{2} - 3 \, {\left(5 \, B a^{6} b - 11 \, A a^{5} b^{2}\right)} x\right)}}{x^{\frac{3}{2}}} - \frac{16 \, {\left(15 \, {\left(B a^{6} b - 3 \, A a^{5} b^{2}\right)} x^{2} + {\left(5 \, B a^{7} - 11 \, A a^{6} b\right)} x\right)}}{x^{\frac{5}{2}}} - \frac{16 \, {\left(5 \, A a^{6} b x^{2} + 3 \, A a^{7} x\right)}}{x^{\frac{7}{2}}}}{120 \, {\left(a^{7} b^{3} x^{3} + 3 \, a^{8} b^{2} x^{2} + 3 \, a^{9} b x + a^{10}\right)}} + \frac{7 \, {\left(5 \, B a b^{2} - 9 \, A b^{3}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{5}} - \frac{7 \, {\left(5 \, {\left(B a b^{3} - 3 \, A b^{4}\right)} x^{\frac{3}{2}} + 6 \, {\left(5 \, B a^{2} b^{2} - 9 \, A a b^{3}\right)} \sqrt{x}\right)}}{24 \, a^{7}}"," ",0,"1/120*(1260*(5*B*a^3*b^4 - 11*A*a^2*b^5)*x^(5/2) + 35*(5*(B*a*b^6 - 3*A*b^7)*x^2 + 9*(5*B*a^2*b^5 - 11*A*a*b^6)*x)*x^(5/2) - 105*(15*(B*a^3*b^4 - 3*A*a^2*b^5)*x^2 - 17*(5*B*a^4*b^3 - 11*A*a^3*b^4)*x)*sqrt(x) - 112*(25*(B*a^4*b^3 - 3*A*a^3*b^4)*x^2 - 9*(5*B*a^5*b^2 - 11*A*a^4*b^3)*x)/sqrt(x) - 48*(35*(B*a^5*b^2 - 3*A*a^4*b^3)*x^2 - 3*(5*B*a^6*b - 11*A*a^5*b^2)*x)/x^(3/2) - 16*(15*(B*a^6*b - 3*A*a^5*b^2)*x^2 + (5*B*a^7 - 11*A*a^6*b)*x)/x^(5/2) - 16*(5*A*a^6*b*x^2 + 3*A*a^7*x)/x^(7/2))/(a^7*b^3*x^3 + 3*a^8*b^2*x^2 + 3*a^9*b*x + a^10) + 7/4*(5*B*a*b^2 - 9*A*b^3)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5) - 7/24*(5*(B*a*b^3 - 3*A*b^4)*x^(3/2) + 6*(5*B*a^2*b^2 - 9*A*a*b^3)*sqrt(x))/a^7","A",0
826,1,401,0,1.870717," ","integrate(x^(11/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{256 \, {\left(3 \, B b^{6} x^{2} + 5 \, B a b^{5} x\right)} x^{\frac{11}{2}} + 5 \, {\left(2747 \, {\left(3 \, B a b^{5} - A b^{6}\right)} x^{2} + 437 \, {\left(13 \, B a^{2} b^{4} - 3 \, A a b^{5}\right)} x\right)} x^{\frac{9}{2}} + 10 \, {\left(4667 \, {\left(3 \, B a^{2} b^{4} - A a b^{5}\right)} x^{2} + 671 \, {\left(13 \, B a^{3} b^{3} - 3 \, A a^{2} b^{4}\right)} x\right)} x^{\frac{7}{2}} + 2860 \, {\left(22 \, {\left(3 \, B a^{3} b^{3} - A a^{2} b^{4}\right)} x^{2} + 3 \, {\left(13 \, B a^{4} b^{2} - 3 \, A a^{3} b^{3}\right)} x\right)} x^{\frac{5}{2}} + 66 \, {\left(585 \, {\left(3 \, B a^{4} b^{2} - A a^{3} b^{3}\right)} x^{2} + 77 \, {\left(13 \, B a^{5} b - 3 \, A a^{4} b^{2}\right)} x\right)} x^{\frac{3}{2}} + 231 \, {\left(39 \, {\left(3 \, B a^{5} b - A a^{4} b^{2}\right)} x^{2} + 5 \, {\left(13 \, B a^{6} - 3 \, A a^{5} b\right)} x\right)} \sqrt{x}}{1920 \, {\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{231 \, {\left(13 \, B a^{3} - 5 \, A a^{2} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} b^{7}} - \frac{77 \, {\left(13 \, {\left(3 \, B a b - A b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(13 \, B a^{2} - 5 \, A a b\right)} \sqrt{x}\right)}}{128 \, b^{7}}"," ",0,"1/1920*(256*(3*B*b^6*x^2 + 5*B*a*b^5*x)*x^(11/2) + 5*(2747*(3*B*a*b^5 - A*b^6)*x^2 + 437*(13*B*a^2*b^4 - 3*A*a*b^5)*x)*x^(9/2) + 10*(4667*(3*B*a^2*b^4 - A*a*b^5)*x^2 + 671*(13*B*a^3*b^3 - 3*A*a^2*b^4)*x)*x^(7/2) + 2860*(22*(3*B*a^3*b^3 - A*a^2*b^4)*x^2 + 3*(13*B*a^4*b^2 - 3*A*a^3*b^3)*x)*x^(5/2) + 66*(585*(3*B*a^4*b^2 - A*a^3*b^3)*x^2 + 77*(13*B*a^5*b - 3*A*a^4*b^2)*x)*x^(3/2) + 231*(39*(3*B*a^5*b - A*a^4*b^2)*x^2 + 5*(13*B*a^6 - 3*A*a^5*b)*x)*sqrt(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) - 231/64*(13*B*a^3 - 5*A*a^2*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^7) - 77/128*(13*(3*B*a*b - A*b^2)*x^(3/2) - 6*(13*B*a^2 - 5*A*a*b)*sqrt(x))/b^7","A",0
827,1,381,0,1.761898," ","integrate(x^(9/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{5 \, {\left({\left(2747 \, B a b^{5} - 693 \, A b^{6}\right)} x^{2} + 3 \, {\left(437 \, B a^{2} b^{4} - 63 \, A a b^{5}\right)} x\right)} x^{\frac{9}{2}} + 10 \, {\left(359 \, {\left(13 \, B a^{2} b^{4} - 3 \, A a b^{5}\right)} x^{2} + 183 \, {\left(11 \, B a^{3} b^{3} - A a^{2} b^{4}\right)} x\right)} x^{\frac{7}{2}} + 20 \, {\left(242 \, {\left(13 \, B a^{3} b^{3} - 3 \, A a^{2} b^{4}\right)} x^{2} + 117 \, {\left(11 \, B a^{4} b^{2} - A a^{3} b^{3}\right)} x\right)} x^{\frac{5}{2}} + 198 \, {\left(15 \, {\left(13 \, B a^{4} b^{2} - 3 \, A a^{3} b^{3}\right)} x^{2} + 7 \, {\left(11 \, B a^{5} b - A a^{4} b^{2}\right)} x\right)} x^{\frac{3}{2}} + 63 \, {\left(11 \, {\left(13 \, B a^{5} b - 3 \, A a^{4} b^{2}\right)} x^{2} + 5 \, {\left(11 \, B a^{6} - A a^{5} b\right)} x\right)} \sqrt{x}}{1920 \, {\left(a b^{10} x^{5} + 5 \, a^{2} b^{9} x^{4} + 10 \, a^{3} b^{8} x^{3} + 10 \, a^{4} b^{7} x^{2} + 5 \, a^{5} b^{6} x + a^{6} b^{5}\right)}} + \frac{105 \, {\left(11 \, B a^{2} - 3 \, A a b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} b^{6}} + \frac{7 \, {\left(11 \, {\left(13 \, B a b - 3 \, A b^{2}\right)} x^{\frac{3}{2}} - 30 \, {\left(11 \, B a^{2} - 3 \, A a b\right)} \sqrt{x}\right)}}{128 \, a b^{6}}"," ",0,"-1/1920*(5*((2747*B*a*b^5 - 693*A*b^6)*x^2 + 3*(437*B*a^2*b^4 - 63*A*a*b^5)*x)*x^(9/2) + 10*(359*(13*B*a^2*b^4 - 3*A*a*b^5)*x^2 + 183*(11*B*a^3*b^3 - A*a^2*b^4)*x)*x^(7/2) + 20*(242*(13*B*a^3*b^3 - 3*A*a^2*b^4)*x^2 + 117*(11*B*a^4*b^2 - A*a^3*b^3)*x)*x^(5/2) + 198*(15*(13*B*a^4*b^2 - 3*A*a^3*b^3)*x^2 + 7*(11*B*a^5*b - A*a^4*b^2)*x)*x^(3/2) + 63*(11*(13*B*a^5*b - 3*A*a^4*b^2)*x^2 + 5*(11*B*a^6 - A*a^5*b)*x)*sqrt(x))/(a*b^10*x^5 + 5*a^2*b^9*x^4 + 10*a^3*b^8*x^3 + 10*a^4*b^7*x^2 + 5*a^5*b^6*x + a^6*b^5) + 105/64*(11*B*a^2 - 3*A*a*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^6) + 7/128*(11*(13*B*a*b - 3*A*b^2)*x^(3/2) - 30*(11*B*a^2 - 3*A*a*b)*sqrt(x))/(a*b^6)","A",0
828,1,374,0,1.618309," ","integrate(x^(7/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{105 \, {\left(3 \, {\left(11 \, B a b^{5} - A b^{6}\right)} x^{2} + {\left(9 \, B a^{2} b^{4} + A a b^{5}\right)} x\right)} x^{\frac{9}{2}} + 30 \, {\left({\left(359 \, B a^{2} b^{4} - 21 \, A a b^{5}\right)} x^{2} + {\left(61 \, B a^{3} b^{3} + 21 \, A a^{2} b^{4}\right)} x\right)} x^{\frac{7}{2}} + 20 \, {\left(66 \, {\left(11 \, B a^{3} b^{3} - A a^{2} b^{4}\right)} x^{2} + 13 \, {\left(9 \, B a^{4} b^{2} + A a^{3} b^{3}\right)} x\right)} x^{\frac{5}{2}} + 2 \, {\left(405 \, {\left(11 \, B a^{4} b^{2} - A a^{3} b^{3}\right)} x^{2} + 77 \, {\left(9 \, B a^{5} b + A a^{4} b^{2}\right)} x\right)} x^{\frac{3}{2}} + 7 \, {\left(27 \, {\left(11 \, B a^{5} b - A a^{4} b^{2}\right)} x^{2} + 5 \, {\left(9 \, B a^{6} + A a^{5} b\right)} x\right)} \sqrt{x}}{1920 \, {\left(a^{2} b^{9} x^{5} + 5 \, a^{3} b^{8} x^{4} + 10 \, a^{4} b^{7} x^{3} + 10 \, a^{5} b^{6} x^{2} + 5 \, a^{6} b^{5} x + a^{7} b^{4}\right)}} - \frac{35 \, {\left(9 \, B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} b^{5}} - \frac{7 \, {\left(3 \, {\left(11 \, B a b - A b^{2}\right)} x^{\frac{3}{2}} - 10 \, {\left(9 \, B a^{2} - A a b\right)} \sqrt{x}\right)}}{128 \, a^{2} b^{5}}"," ",0,"1/1920*(105*(3*(11*B*a*b^5 - A*b^6)*x^2 + (9*B*a^2*b^4 + A*a*b^5)*x)*x^(9/2) + 30*((359*B*a^2*b^4 - 21*A*a*b^5)*x^2 + (61*B*a^3*b^3 + 21*A*a^2*b^4)*x)*x^(7/2) + 20*(66*(11*B*a^3*b^3 - A*a^2*b^4)*x^2 + 13*(9*B*a^4*b^2 + A*a^3*b^3)*x)*x^(5/2) + 2*(405*(11*B*a^4*b^2 - A*a^3*b^3)*x^2 + 77*(9*B*a^5*b + A*a^4*b^2)*x)*x^(3/2) + 7*(27*(11*B*a^5*b - A*a^4*b^2)*x^2 + 5*(9*B*a^6 + A*a^5*b)*x)*sqrt(x))/(a^2*b^9*x^5 + 5*a^3*b^8*x^4 + 10*a^4*b^7*x^3 + 10*a^5*b^6*x^2 + 5*a^6*b^5*x + a^7*b^4) - 35/64*(9*B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^5) - 7/128*(3*(11*B*a*b - A*b^2)*x^(3/2) - 10*(9*B*a^2 - A*a*b)*sqrt(x))/(a^2*b^5)","A",0
829,1,376,0,1.751369," ","integrate(x^(5/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{5 \, {\left(7 \, {\left(9 \, B a b^{5} + A b^{6}\right)} x^{2} - 3 \, {\left(7 \, B a^{2} b^{4} + 3 \, A a b^{5}\right)} x\right)} x^{\frac{9}{2}} + 10 \, {\left(7 \, {\left(9 \, B a^{2} b^{4} + A a b^{5}\right)} x^{2} - 9 \, {\left(7 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x\right)} x^{\frac{7}{2}} + 20 \, {\left(2 \, {\left(33 \, B a^{3} b^{3} - 7 \, A a^{2} b^{4}\right)} x^{2} - {\left(13 \, B a^{4} b^{2} + 33 \, A a^{3} b^{3}\right)} x\right)} x^{\frac{5}{2}} + 2 \, {\left(45 \, {\left(9 \, B a^{4} b^{2} + A a^{3} b^{3}\right)} x^{2} - 11 \, {\left(7 \, B a^{5} b + 3 \, A a^{4} b^{2}\right)} x\right)} x^{\frac{3}{2}} + {\left(21 \, {\left(9 \, B a^{5} b + A a^{4} b^{2}\right)} x^{2} - 5 \, {\left(7 \, B a^{6} + 3 \, A a^{5} b\right)} x\right)} \sqrt{x}}{1920 \, {\left(a^{3} b^{8} x^{5} + 5 \, a^{4} b^{7} x^{4} + 10 \, a^{5} b^{6} x^{3} + 10 \, a^{6} b^{5} x^{2} + 5 \, a^{7} b^{4} x + a^{8} b^{3}\right)}} + \frac{5 \, {\left(7 \, B a + A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} a b^{4}} + \frac{7 \, {\left(9 \, B a b + A b^{2}\right)} x^{\frac{3}{2}} - 30 \, {\left(7 \, B a^{2} + A a b\right)} \sqrt{x}}{384 \, a^{3} b^{4}}"," ",0,"-1/1920*(5*(7*(9*B*a*b^5 + A*b^6)*x^2 - 3*(7*B*a^2*b^4 + 3*A*a*b^5)*x)*x^(9/2) + 10*(7*(9*B*a^2*b^4 + A*a*b^5)*x^2 - 9*(7*B*a^3*b^3 + 3*A*a^2*b^4)*x)*x^(7/2) + 20*(2*(33*B*a^3*b^3 - 7*A*a^2*b^4)*x^2 - (13*B*a^4*b^2 + 33*A*a^3*b^3)*x)*x^(5/2) + 2*(45*(9*B*a^4*b^2 + A*a^3*b^3)*x^2 - 11*(7*B*a^5*b + 3*A*a^4*b^2)*x)*x^(3/2) + (21*(9*B*a^5*b + A*a^4*b^2)*x^2 - 5*(7*B*a^6 + 3*A*a^5*b)*x)*sqrt(x))/(a^3*b^8*x^5 + 5*a^4*b^7*x^4 + 10*a^5*b^6*x^3 + 10*a^6*b^5*x^2 + 5*a^7*b^4*x + a^8*b^3) + 5/64*(7*B*a + A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b^4) + 1/384*(7*(9*B*a*b + A*b^2)*x^(3/2) - 30*(7*B*a^2 + A*a*b)*sqrt(x))/(a^3*b^4)","B",0
830,1,372,0,1.797174," ","integrate(x^(3/2)*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{5 \, {\left({\left(7 \, B a b^{5} + 3 \, A b^{6}\right)} x^{2} - 9 \, {\left(B a^{2} b^{4} + A a b^{5}\right)} x\right)} x^{\frac{9}{2}} + 10 \, {\left({\left(7 \, B a^{2} b^{4} + 3 \, A a b^{5}\right)} x^{2} - 27 \, {\left(B a^{3} b^{3} + A a^{2} b^{4}\right)} x\right)} x^{\frac{7}{2}} - 20 \, {\left(2 \, {\left(7 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} x^{2} + 33 \, {\left(B a^{4} b^{2} + A a^{3} b^{3}\right)} x\right)} x^{\frac{5}{2}} + 6 \, {\left(5 \, {\left(3 \, B a^{4} b^{2} - 17 \, A a^{3} b^{3}\right)} x^{2} - {\left(11 \, B a^{5} b + 139 \, A a^{4} b^{2}\right)} x\right)} x^{\frac{3}{2}} + 3 \, {\left({\left(7 \, B a^{5} b + 3 \, A a^{4} b^{2}\right)} x^{2} - 5 \, {\left(B a^{6} + A a^{5} b\right)} x\right)} \sqrt{x}}{1920 \, {\left(a^{4} b^{7} x^{5} + 5 \, a^{5} b^{6} x^{4} + 10 \, a^{6} b^{5} x^{3} + 10 \, a^{7} b^{4} x^{2} + 5 \, a^{8} b^{3} x + a^{9} b^{2}\right)}} + \frac{{\left(5 \, B a + 3 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} a^{2} b^{3}} + \frac{{\left(7 \, B a b + 3 \, A b^{2}\right)} x^{\frac{3}{2}} - 6 \, {\left(5 \, B a^{2} + 3 \, A a b\right)} \sqrt{x}}{384 \, a^{4} b^{3}}"," ",0,"-1/1920*(5*((7*B*a*b^5 + 3*A*b^6)*x^2 - 9*(B*a^2*b^4 + A*a*b^5)*x)*x^(9/2) + 10*((7*B*a^2*b^4 + 3*A*a*b^5)*x^2 - 27*(B*a^3*b^3 + A*a^2*b^4)*x)*x^(7/2) - 20*(2*(7*B*a^3*b^3 + 3*A*a^2*b^4)*x^2 + 33*(B*a^4*b^2 + A*a^3*b^3)*x)*x^(5/2) + 6*(5*(3*B*a^4*b^2 - 17*A*a^3*b^3)*x^2 - (11*B*a^5*b + 139*A*a^4*b^2)*x)*x^(3/2) + 3*((7*B*a^5*b + 3*A*a^4*b^2)*x^2 - 5*(B*a^6 + A*a^5*b)*x)*sqrt(x))/(a^4*b^7*x^5 + 5*a^5*b^6*x^4 + 10*a^6*b^5*x^3 + 10*a^7*b^4*x^2 + 5*a^8*b^3*x + a^9*b^2) + 1/64*(5*B*a + 3*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2*b^3) + 1/384*((7*B*a*b + 3*A*b^2)*x^(3/2) - 6*(5*B*a^2 + 3*A*a*b)*sqrt(x))/(a^4*b^3)","B",0
831,1,368,0,1.528130," ","integrate((B*x+A)*x^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{15 \, {\left({\left(B a b^{5} + A b^{6}\right)} x^{2} - {\left(3 \, B a^{2} b^{4} + 7 \, A a b^{5}\right)} x\right)} x^{\frac{9}{2}} + 30 \, {\left({\left(B a^{2} b^{4} + A a b^{5}\right)} x^{2} - 3 \, {\left(3 \, B a^{3} b^{3} + 7 \, A a^{2} b^{4}\right)} x\right)} x^{\frac{7}{2}} - 20 \, {\left(6 \, {\left(B a^{3} b^{3} + A a^{2} b^{4}\right)} x^{2} + 11 \, {\left(3 \, B a^{4} b^{2} + 7 \, A a^{3} b^{3}\right)} x\right)} x^{\frac{5}{2}} - 2 \, {\left(255 \, {\left(B a^{4} b^{2} + A a^{3} b^{3}\right)} x^{2} + 139 \, {\left(3 \, B a^{5} b + 7 \, A a^{4} b^{2}\right)} x\right)} x^{\frac{3}{2}} + {\left(3 \, {\left(3 \, B a^{5} b - 253 \, A a^{4} b^{2}\right)} x^{2} - 5 \, {\left(3 \, B a^{6} + 263 \, A a^{5} b\right)} x\right)} \sqrt{x}}{1920 \, {\left(a^{5} b^{6} x^{5} + 5 \, a^{6} b^{5} x^{4} + 10 \, a^{7} b^{4} x^{3} + 10 \, a^{8} b^{3} x^{2} + 5 \, a^{9} b^{2} x + a^{10} b\right)}} + \frac{{\left(3 \, B a + 5 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} a^{3} b^{2}} + \frac{{\left(B a b + A b^{2}\right)} x^{\frac{3}{2}} - 2 \, {\left(3 \, B a^{2} + 5 \, A a b\right)} \sqrt{x}}{128 \, a^{5} b^{2}}"," ",0,"-1/1920*(15*((B*a*b^5 + A*b^6)*x^2 - (3*B*a^2*b^4 + 7*A*a*b^5)*x)*x^(9/2) + 30*((B*a^2*b^4 + A*a*b^5)*x^2 - 3*(3*B*a^3*b^3 + 7*A*a^2*b^4)*x)*x^(7/2) - 20*(6*(B*a^3*b^3 + A*a^2*b^4)*x^2 + 11*(3*B*a^4*b^2 + 7*A*a^3*b^3)*x)*x^(5/2) - 2*(255*(B*a^4*b^2 + A*a^3*b^3)*x^2 + 139*(3*B*a^5*b + 7*A*a^4*b^2)*x)*x^(3/2) + (3*(3*B*a^5*b - 253*A*a^4*b^2)*x^2 - 5*(3*B*a^6 + 263*A*a^5*b)*x)*sqrt(x))/(a^5*b^6*x^5 + 5*a^6*b^5*x^4 + 10*a^7*b^4*x^3 + 10*a^8*b^3*x^2 + 5*a^9*b^2*x + a^10*b) + 1/64*(3*B*a + 5*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3*b^2) + 1/128*((B*a*b + A*b^2)*x^(3/2) - 2*(3*B*a^2 + 5*A*a*b)*sqrt(x))/(a^5*b^2)","B",0
832,1,390,0,1.866044," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{5 \, {\left({\left(3 \, B a b^{5} + 7 \, A b^{6}\right)} x^{2} - 21 \, {\left(B a^{2} b^{4} + 9 \, A a b^{5}\right)} x\right)} x^{\frac{9}{2}} + 10 \, {\left({\left(3 \, B a^{2} b^{4} + 7 \, A a b^{5}\right)} x^{2} - 63 \, {\left(B a^{3} b^{3} + 9 \, A a^{2} b^{4}\right)} x\right)} x^{\frac{7}{2}} - 20 \, {\left(2 \, {\left(3 \, B a^{3} b^{3} + 7 \, A a^{2} b^{4}\right)} x^{2} + 77 \, {\left(B a^{4} b^{2} + 9 \, A a^{3} b^{3}\right)} x\right)} x^{\frac{5}{2}} - 2 \, {\left(85 \, {\left(3 \, B a^{4} b^{2} + 7 \, A a^{3} b^{3}\right)} x^{2} + 973 \, {\left(B a^{5} b + 9 \, A a^{4} b^{2}\right)} x\right)} x^{\frac{3}{2}} - {\left(253 \, {\left(3 \, B a^{5} b + 7 \, A a^{4} b^{2}\right)} x^{2} + 1315 \, {\left(B a^{6} + 9 \, A a^{5} b\right)} x\right)} \sqrt{x} - \frac{1280 \, {\left(A a^{5} b x^{2} + 3 \, A a^{6} x\right)}}{\sqrt{x}}}{1920 \, {\left(a^{6} b^{5} x^{5} + 5 \, a^{7} b^{4} x^{4} + 10 \, a^{8} b^{3} x^{3} + 10 \, a^{9} b^{2} x^{2} + 5 \, a^{10} b x + a^{11}\right)}} + \frac{5 \, {\left(B a + 7 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} a^{4} b} + \frac{{\left(3 \, B a b + 7 \, A b^{2}\right)} x^{\frac{3}{2}} - 30 \, {\left(B a^{2} + 7 \, A a b\right)} \sqrt{x}}{384 \, a^{6} b}"," ",0,"-1/1920*(5*((3*B*a*b^5 + 7*A*b^6)*x^2 - 21*(B*a^2*b^4 + 9*A*a*b^5)*x)*x^(9/2) + 10*((3*B*a^2*b^4 + 7*A*a*b^5)*x^2 - 63*(B*a^3*b^3 + 9*A*a^2*b^4)*x)*x^(7/2) - 20*(2*(3*B*a^3*b^3 + 7*A*a^2*b^4)*x^2 + 77*(B*a^4*b^2 + 9*A*a^3*b^3)*x)*x^(5/2) - 2*(85*(3*B*a^4*b^2 + 7*A*a^3*b^3)*x^2 + 973*(B*a^5*b + 9*A*a^4*b^2)*x)*x^(3/2) - (253*(3*B*a^5*b + 7*A*a^4*b^2)*x^2 + 1315*(B*a^6 + 9*A*a^5*b)*x)*sqrt(x) - 1280*(A*a^5*b*x^2 + 3*A*a^6*x)/sqrt(x))/(a^6*b^5*x^5 + 5*a^7*b^4*x^4 + 10*a^8*b^3*x^3 + 10*a^9*b^2*x^2 + 5*a^10*b*x + a^11) + 5/64*(B*a + 7*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4*b) + 1/384*((3*B*a*b + 7*A*b^2)*x^(3/2) - 30*(B*a^2 + 7*A*a*b)*sqrt(x))/(a^6*b)","B",0
833,1,427,0,1.934884," ","integrate((B*x+A)/x^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{35 \, {\left({\left(B a b^{6} + 9 \, A b^{7}\right)} x^{2} - 27 \, {\left(B a^{2} b^{5} - 11 \, A a b^{6}\right)} x\right)} x^{\frac{9}{2}} + 70 \, {\left({\left(B a^{2} b^{5} + 9 \, A a b^{6}\right)} x^{2} - 81 \, {\left(B a^{3} b^{4} - 11 \, A a^{2} b^{5}\right)} x\right)} x^{\frac{7}{2}} - 140 \, {\left(2 \, {\left(B a^{3} b^{4} + 9 \, A a^{2} b^{5}\right)} x^{2} + 99 \, {\left(B a^{4} b^{3} - 11 \, A a^{3} b^{4}\right)} x\right)} x^{\frac{5}{2}} - 14 \, {\left(85 \, {\left(B a^{4} b^{3} + 9 \, A a^{3} b^{4}\right)} x^{2} + 1251 \, {\left(B a^{5} b^{2} - 11 \, A a^{4} b^{3}\right)} x\right)} x^{\frac{3}{2}} - {\left(1771 \, {\left(B a^{5} b^{2} + 9 \, A a^{4} b^{3}\right)} x^{2} + 11835 \, {\left(B a^{6} b - 11 \, A a^{5} b^{2}\right)} x\right)} \sqrt{x} - \frac{1280 \, {\left({\left(B a^{6} b + 9 \, A a^{5} b^{2}\right)} x^{2} + 3 \, {\left(B a^{7} - 11 \, A a^{6} b\right)} x\right)}}{\sqrt{x}} - \frac{3840 \, {\left(A a^{6} b x^{2} - A a^{7} x\right)}}{x^{\frac{3}{2}}}}{1920 \, {\left(a^{7} b^{5} x^{5} + 5 \, a^{8} b^{4} x^{4} + 10 \, a^{9} b^{3} x^{3} + 10 \, a^{10} b^{2} x^{2} + 5 \, a^{11} b x + a^{12}\right)}} + \frac{35 \, {\left(B a - 9 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} a^{5}} + \frac{7 \, {\left({\left(B a b + 9 \, A b^{2}\right)} x^{\frac{3}{2}} - 30 \, {\left(B a^{2} - 9 \, A a b\right)} \sqrt{x}\right)}}{384 \, a^{7}}"," ",0,"-1/1920*(35*((B*a*b^6 + 9*A*b^7)*x^2 - 27*(B*a^2*b^5 - 11*A*a*b^6)*x)*x^(9/2) + 70*((B*a^2*b^5 + 9*A*a*b^6)*x^2 - 81*(B*a^3*b^4 - 11*A*a^2*b^5)*x)*x^(7/2) - 140*(2*(B*a^3*b^4 + 9*A*a^2*b^5)*x^2 + 99*(B*a^4*b^3 - 11*A*a^3*b^4)*x)*x^(5/2) - 14*(85*(B*a^4*b^3 + 9*A*a^3*b^4)*x^2 + 1251*(B*a^5*b^2 - 11*A*a^4*b^3)*x)*x^(3/2) - (1771*(B*a^5*b^2 + 9*A*a^4*b^3)*x^2 + 11835*(B*a^6*b - 11*A*a^5*b^2)*x)*sqrt(x) - 1280*((B*a^6*b + 9*A*a^5*b^2)*x^2 + 3*(B*a^7 - 11*A*a^6*b)*x)/sqrt(x) - 3840*(A*a^6*b*x^2 - A*a^7*x)/x^(3/2))/(a^7*b^5*x^5 + 5*a^8*b^4*x^4 + 10*a^9*b^3*x^3 + 10*a^10*b^2*x^2 + 5*a^11*b*x + a^12) + 35/64*(B*a - 9*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5) + 7/384*((B*a*b + 9*A*b^2)*x^(3/2) - 30*(B*a^2 - 9*A*a*b)*sqrt(x))/a^7","B",0
834,1,495,0,2.025527," ","integrate((B*x+A)/x^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{315 \, {\left({\left(B a b^{7} - 11 \, A b^{8}\right)} x^{2} + 11 \, {\left(3 \, B a^{2} b^{6} - 13 \, A a b^{7}\right)} x\right)} x^{\frac{9}{2}} + 630 \, {\left({\left(B a^{2} b^{6} - 11 \, A a b^{7}\right)} x^{2} + 33 \, {\left(3 \, B a^{3} b^{5} - 13 \, A a^{2} b^{6}\right)} x\right)} x^{\frac{7}{2}} - 420 \, {\left(6 \, {\left(B a^{3} b^{5} - 11 \, A a^{2} b^{6}\right)} x^{2} - 121 \, {\left(3 \, B a^{4} b^{4} - 13 \, A a^{3} b^{5}\right)} x\right)} x^{\frac{5}{2}} - 42 \, {\left(255 \, {\left(B a^{4} b^{4} - 11 \, A a^{3} b^{5}\right)} x^{2} - 1529 \, {\left(3 \, B a^{5} b^{3} - 13 \, A a^{4} b^{4}\right)} x\right)} x^{\frac{3}{2}} - 33 \, {\left(483 \, {\left(B a^{5} b^{3} - 11 \, A a^{4} b^{4}\right)} x^{2} - 1315 \, {\left(3 \, B a^{6} b^{2} - 13 \, A a^{5} b^{3}\right)} x\right)} \sqrt{x} - \frac{1280 \, {\left(9 \, {\left(B a^{6} b^{2} - 11 \, A a^{5} b^{3}\right)} x^{2} - 11 \, {\left(3 \, B a^{7} b - 13 \, A a^{6} b^{2}\right)} x\right)}}{\sqrt{x}} - \frac{1280 \, {\left(3 \, {\left(B a^{7} b - 11 \, A a^{6} b^{2}\right)} x^{2} - {\left(3 \, B a^{8} - 13 \, A a^{7} b\right)} x\right)}}{x^{\frac{3}{2}}} + \frac{1280 \, {\left(3 \, A a^{7} b x^{2} + A a^{8} x\right)}}{x^{\frac{5}{2}}}}{1920 \, {\left(a^{8} b^{5} x^{5} + 5 \, a^{9} b^{4} x^{4} + 10 \, a^{10} b^{3} x^{3} + 10 \, a^{11} b^{2} x^{2} + 5 \, a^{12} b x + a^{13}\right)}} - \frac{105 \, {\left(3 \, B a b - 11 \, A b^{2}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} a^{6}} + \frac{21 \, {\left({\left(B a b^{2} - 11 \, A b^{3}\right)} x^{\frac{3}{2}} + 10 \, {\left(3 \, B a^{2} b - 11 \, A a b^{2}\right)} \sqrt{x}\right)}}{128 \, a^{8}}"," ",0,"-1/1920*(315*((B*a*b^7 - 11*A*b^8)*x^2 + 11*(3*B*a^2*b^6 - 13*A*a*b^7)*x)*x^(9/2) + 630*((B*a^2*b^6 - 11*A*a*b^7)*x^2 + 33*(3*B*a^3*b^5 - 13*A*a^2*b^6)*x)*x^(7/2) - 420*(6*(B*a^3*b^5 - 11*A*a^2*b^6)*x^2 - 121*(3*B*a^4*b^4 - 13*A*a^3*b^5)*x)*x^(5/2) - 42*(255*(B*a^4*b^4 - 11*A*a^3*b^5)*x^2 - 1529*(3*B*a^5*b^3 - 13*A*a^4*b^4)*x)*x^(3/2) - 33*(483*(B*a^5*b^3 - 11*A*a^4*b^4)*x^2 - 1315*(3*B*a^6*b^2 - 13*A*a^5*b^3)*x)*sqrt(x) - 1280*(9*(B*a^6*b^2 - 11*A*a^5*b^3)*x^2 - 11*(3*B*a^7*b - 13*A*a^6*b^2)*x)/sqrt(x) - 1280*(3*(B*a^7*b - 11*A*a^6*b^2)*x^2 - (3*B*a^8 - 13*A*a^7*b)*x)/x^(3/2) + 1280*(3*A*a^7*b*x^2 + A*a^8*x)/x^(5/2))/(a^8*b^5*x^5 + 5*a^9*b^4*x^4 + 10*a^10*b^3*x^3 + 10*a^11*b^2*x^2 + 5*a^12*b*x + a^13) - 105/64*(3*B*a*b - 11*A*b^2)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^6) + 21/128*((B*a*b^2 - 11*A*b^3)*x^(3/2) + 10*(3*B*a^2*b - 11*A*a*b^2)*sqrt(x))/a^8","B",0
835,1,550,0,2.124600," ","integrate((B*x+A)/x^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1155 \, {\left({\left(3 \, B a b^{8} - 13 \, A b^{9}\right)} x^{2} + 39 \, {\left(B a^{2} b^{7} - 3 \, A a b^{8}\right)} x\right)} x^{\frac{9}{2}} + 2310 \, {\left({\left(3 \, B a^{2} b^{7} - 13 \, A a b^{8}\right)} x^{2} + 117 \, {\left(B a^{3} b^{6} - 3 \, A a^{2} b^{7}\right)} x\right)} x^{\frac{7}{2}} - 4620 \, {\left(2 \, {\left(3 \, B a^{3} b^{6} - 13 \, A a^{2} b^{7}\right)} x^{2} - 143 \, {\left(B a^{4} b^{5} - 3 \, A a^{3} b^{6}\right)} x\right)} x^{\frac{5}{2}} - 462 \, {\left(85 \, {\left(3 \, B a^{4} b^{5} - 13 \, A a^{3} b^{6}\right)} x^{2} - 1807 \, {\left(B a^{5} b^{4} - 3 \, A a^{4} b^{5}\right)} x\right)} x^{\frac{3}{2}} - 33 \, {\left(1771 \, {\left(3 \, B a^{5} b^{4} - 13 \, A a^{4} b^{5}\right)} x^{2} - 17095 \, {\left(B a^{6} b^{3} - 3 \, A a^{5} b^{4}\right)} x\right)} \sqrt{x} - \frac{14080 \, {\left(3 \, {\left(3 \, B a^{6} b^{3} - 13 \, A a^{5} b^{4}\right)} x^{2} - 13 \, {\left(B a^{7} b^{2} - 3 \, A a^{6} b^{3}\right)} x\right)}}{\sqrt{x}} - \frac{1280 \, {\left(11 \, {\left(3 \, B a^{7} b^{2} - 13 \, A a^{6} b^{3}\right)} x^{2} - 13 \, {\left(B a^{8} b - 3 \, A a^{7} b^{2}\right)} x\right)}}{x^{\frac{3}{2}}} - \frac{1280 \, {\left({\left(3 \, B a^{8} b - 13 \, A a^{7} b^{2}\right)} x^{2} + {\left(B a^{9} - 3 \, A a^{8} b\right)} x\right)}}{x^{\frac{5}{2}}} - \frac{256 \, {\left(5 \, A a^{8} b x^{2} + 3 \, A a^{9} x\right)}}{x^{\frac{7}{2}}}}{1920 \, {\left(a^{9} b^{5} x^{5} + 5 \, a^{10} b^{4} x^{4} + 10 \, a^{11} b^{3} x^{3} + 10 \, a^{12} b^{2} x^{2} + 5 \, a^{13} b x + a^{14}\right)}} + \frac{231 \, {\left(5 \, B a b^{2} - 13 \, A b^{3}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{64 \, \sqrt{a b} a^{7}} - \frac{77 \, {\left({\left(3 \, B a b^{3} - 13 \, A b^{4}\right)} x^{\frac{3}{2}} + 6 \, {\left(5 \, B a^{2} b^{2} - 13 \, A a b^{3}\right)} \sqrt{x}\right)}}{128 \, a^{9}}"," ",0,"1/1920*(1155*((3*B*a*b^8 - 13*A*b^9)*x^2 + 39*(B*a^2*b^7 - 3*A*a*b^8)*x)*x^(9/2) + 2310*((3*B*a^2*b^7 - 13*A*a*b^8)*x^2 + 117*(B*a^3*b^6 - 3*A*a^2*b^7)*x)*x^(7/2) - 4620*(2*(3*B*a^3*b^6 - 13*A*a^2*b^7)*x^2 - 143*(B*a^4*b^5 - 3*A*a^3*b^6)*x)*x^(5/2) - 462*(85*(3*B*a^4*b^5 - 13*A*a^3*b^6)*x^2 - 1807*(B*a^5*b^4 - 3*A*a^4*b^5)*x)*x^(3/2) - 33*(1771*(3*B*a^5*b^4 - 13*A*a^4*b^5)*x^2 - 17095*(B*a^6*b^3 - 3*A*a^5*b^4)*x)*sqrt(x) - 14080*(3*(3*B*a^6*b^3 - 13*A*a^5*b^4)*x^2 - 13*(B*a^7*b^2 - 3*A*a^6*b^3)*x)/sqrt(x) - 1280*(11*(3*B*a^7*b^2 - 13*A*a^6*b^3)*x^2 - 13*(B*a^8*b - 3*A*a^7*b^2)*x)/x^(3/2) - 1280*((3*B*a^8*b - 13*A*a^7*b^2)*x^2 + (B*a^9 - 3*A*a^8*b)*x)/x^(5/2) - 256*(5*A*a^8*b*x^2 + 3*A*a^9*x)/x^(7/2))/(a^9*b^5*x^5 + 5*a^10*b^4*x^4 + 10*a^11*b^3*x^3 + 10*a^12*b^2*x^2 + 5*a^13*b*x + a^14) + 231/64*(5*B*a*b^2 - 13*A*b^3)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^7) - 77/128*((3*B*a*b^3 - 13*A*b^4)*x^(3/2) + 6*(5*B*a^2*b^2 - 13*A*a*b^3)*sqrt(x))/a^9","A",0
836,1,243,0,0.477093," ","integrate(x^m*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{B b^{6} x^{m + 8}}{m + 8} + \frac{6 \, B a b^{5} x^{m + 7}}{m + 7} + \frac{A b^{6} x^{m + 7}}{m + 7} + \frac{15 \, B a^{2} b^{4} x^{m + 6}}{m + 6} + \frac{6 \, A a b^{5} x^{m + 6}}{m + 6} + \frac{20 \, B a^{3} b^{3} x^{m + 5}}{m + 5} + \frac{15 \, A a^{2} b^{4} x^{m + 5}}{m + 5} + \frac{15 \, B a^{4} b^{2} x^{m + 4}}{m + 4} + \frac{20 \, A a^{3} b^{3} x^{m + 4}}{m + 4} + \frac{6 \, B a^{5} b x^{m + 3}}{m + 3} + \frac{15 \, A a^{4} b^{2} x^{m + 3}}{m + 3} + \frac{B a^{6} x^{m + 2}}{m + 2} + \frac{6 \, A a^{5} b x^{m + 2}}{m + 2} + \frac{A a^{6} x^{m + 1}}{m + 1}"," ",0,"B*b^6*x^(m + 8)/(m + 8) + 6*B*a*b^5*x^(m + 7)/(m + 7) + A*b^6*x^(m + 7)/(m + 7) + 15*B*a^2*b^4*x^(m + 6)/(m + 6) + 6*A*a*b^5*x^(m + 6)/(m + 6) + 20*B*a^3*b^3*x^(m + 5)/(m + 5) + 15*A*a^2*b^4*x^(m + 5)/(m + 5) + 15*B*a^4*b^2*x^(m + 4)/(m + 4) + 20*A*a^3*b^3*x^(m + 4)/(m + 4) + 6*B*a^5*b*x^(m + 3)/(m + 3) + 15*A*a^4*b^2*x^(m + 3)/(m + 3) + B*a^6*x^(m + 2)/(m + 2) + 6*A*a^5*b*x^(m + 2)/(m + 2) + A*a^6*x^(m + 1)/(m + 1)","A",0
837,1,167,0,0.609575," ","integrate(x^m*(B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{B b^{4} x^{m + 6}}{m + 6} + \frac{4 \, B a b^{3} x^{m + 5}}{m + 5} + \frac{A b^{4} x^{m + 5}}{m + 5} + \frac{6 \, B a^{2} b^{2} x^{m + 4}}{m + 4} + \frac{4 \, A a b^{3} x^{m + 4}}{m + 4} + \frac{4 \, B a^{3} b x^{m + 3}}{m + 3} + \frac{6 \, A a^{2} b^{2} x^{m + 3}}{m + 3} + \frac{B a^{4} x^{m + 2}}{m + 2} + \frac{4 \, A a^{3} b x^{m + 2}}{m + 2} + \frac{A a^{4} x^{m + 1}}{m + 1}"," ",0,"B*b^4*x^(m + 6)/(m + 6) + 4*B*a*b^3*x^(m + 5)/(m + 5) + A*b^4*x^(m + 5)/(m + 5) + 6*B*a^2*b^2*x^(m + 4)/(m + 4) + 4*A*a*b^3*x^(m + 4)/(m + 4) + 4*B*a^3*b*x^(m + 3)/(m + 3) + 6*A*a^2*b^2*x^(m + 3)/(m + 3) + B*a^4*x^(m + 2)/(m + 2) + 4*A*a^3*b*x^(m + 2)/(m + 2) + A*a^4*x^(m + 1)/(m + 1)","A",0
838,1,91,0,0.457894," ","integrate(x^m*(B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{B b^{2} x^{m + 4}}{m + 4} + \frac{2 \, B a b x^{m + 3}}{m + 3} + \frac{A b^{2} x^{m + 3}}{m + 3} + \frac{B a^{2} x^{m + 2}}{m + 2} + \frac{2 \, A a b x^{m + 2}}{m + 2} + \frac{A a^{2} x^{m + 1}}{m + 1}"," ",0,"B*b^2*x^(m + 4)/(m + 4) + 2*B*a*b*x^(m + 3)/(m + 3) + A*b^2*x^(m + 3)/(m + 3) + B*a^2*x^(m + 2)/(m + 2) + 2*A*a*b*x^(m + 2)/(m + 2) + A*a^2*x^(m + 1)/(m + 1)","A",0
839,0,0,0,0.000000," ","integrate(x^m*(B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} x^{m}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\,{d x}"," ",0,"integrate((B*x + A)*x^m/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
840,0,0,0,0.000000," ","integrate(x^m*(B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} x^{m}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*x^m/(b^2*x^2 + 2*a*b*x + a^2)^2, x)","F",0
841,1,143,0,0.593642," ","integrate(x^m*(1+x)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{x^{m + 12}}{m + 12} + \frac{11 \, x^{m + 11}}{m + 11} + \frac{55 \, x^{m + 10}}{m + 10} + \frac{165 \, x^{m + 9}}{m + 9} + \frac{330 \, x^{m + 8}}{m + 8} + \frac{462 \, x^{m + 7}}{m + 7} + \frac{462 \, x^{m + 6}}{m + 6} + \frac{330 \, x^{m + 5}}{m + 5} + \frac{165 \, x^{m + 4}}{m + 4} + \frac{55 \, x^{m + 3}}{m + 3} + \frac{11 \, x^{m + 2}}{m + 2} + \frac{x^{m + 1}}{m + 1}"," ",0,"x^(m + 12)/(m + 12) + 11*x^(m + 11)/(m + 11) + 55*x^(m + 10)/(m + 10) + 165*x^(m + 9)/(m + 9) + 330*x^(m + 8)/(m + 8) + 462*x^(m + 7)/(m + 7) + 462*x^(m + 6)/(m + 6) + 330*x^(m + 5)/(m + 5) + 165*x^(m + 4)/(m + 4) + 55*x^(m + 3)/(m + 3) + 11*x^(m + 2)/(m + 2) + x^(m + 1)/(m + 1)","A",0
842,1,283,0,0.576431," ","integrate(x^m*(e*x+d)*(x^2+2*x+1)^5,x, algorithm=""maxima"")","\frac{e x^{m + 12}}{m + 12} + \frac{d x^{m + 11}}{m + 11} + \frac{10 \, e x^{m + 11}}{m + 11} + \frac{10 \, d x^{m + 10}}{m + 10} + \frac{45 \, e x^{m + 10}}{m + 10} + \frac{45 \, d x^{m + 9}}{m + 9} + \frac{120 \, e x^{m + 9}}{m + 9} + \frac{120 \, d x^{m + 8}}{m + 8} + \frac{210 \, e x^{m + 8}}{m + 8} + \frac{210 \, d x^{m + 7}}{m + 7} + \frac{252 \, e x^{m + 7}}{m + 7} + \frac{252 \, d x^{m + 6}}{m + 6} + \frac{210 \, e x^{m + 6}}{m + 6} + \frac{210 \, d x^{m + 5}}{m + 5} + \frac{120 \, e x^{m + 5}}{m + 5} + \frac{120 \, d x^{m + 4}}{m + 4} + \frac{45 \, e x^{m + 4}}{m + 4} + \frac{45 \, d x^{m + 3}}{m + 3} + \frac{10 \, e x^{m + 3}}{m + 3} + \frac{10 \, d x^{m + 2}}{m + 2} + \frac{e x^{m + 2}}{m + 2} + \frac{d x^{m + 1}}{m + 1}"," ",0,"e*x^(m + 12)/(m + 12) + d*x^(m + 11)/(m + 11) + 10*e*x^(m + 11)/(m + 11) + 10*d*x^(m + 10)/(m + 10) + 45*e*x^(m + 10)/(m + 10) + 45*d*x^(m + 9)/(m + 9) + 120*e*x^(m + 9)/(m + 9) + 120*d*x^(m + 8)/(m + 8) + 210*e*x^(m + 8)/(m + 8) + 210*d*x^(m + 7)/(m + 7) + 252*e*x^(m + 7)/(m + 7) + 252*d*x^(m + 6)/(m + 6) + 210*e*x^(m + 6)/(m + 6) + 210*d*x^(m + 5)/(m + 5) + 120*e*x^(m + 5)/(m + 5) + 120*d*x^(m + 4)/(m + 4) + 45*e*x^(m + 4)/(m + 4) + 45*d*x^(m + 3)/(m + 3) + 10*e*x^(m + 3)/(m + 3) + 10*d*x^(m + 2)/(m + 2) + e*x^(m + 2)/(m + 2) + d*x^(m + 1)/(m + 1)","A",0
843,1,39,0,0.484146," ","integrate(x^3*(B*x+A)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{7} \, B c x^{7} + \frac{1}{6} \, {\left(B b + A c\right)} x^{6} + \frac{1}{4} \, A a x^{4} + \frac{1}{5} \, {\left(B a + A b\right)} x^{5}"," ",0,"1/7*B*c*x^7 + 1/6*(B*b + A*c)*x^6 + 1/4*A*a*x^4 + 1/5*(B*a + A*b)*x^5","A",0
844,1,39,0,0.599600," ","integrate(x^2*(B*x+A)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{6} \, B c x^{6} + \frac{1}{5} \, {\left(B b + A c\right)} x^{5} + \frac{1}{3} \, A a x^{3} + \frac{1}{4} \, {\left(B a + A b\right)} x^{4}"," ",0,"1/6*B*c*x^6 + 1/5*(B*b + A*c)*x^5 + 1/3*A*a*x^3 + 1/4*(B*a + A*b)*x^4","A",0
845,1,39,0,0.527621," ","integrate(x*(B*x+A)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{5} \, B c x^{5} + \frac{1}{4} \, {\left(B b + A c\right)} x^{4} + \frac{1}{2} \, A a x^{2} + \frac{1}{3} \, {\left(B a + A b\right)} x^{3}"," ",0,"1/5*B*c*x^5 + 1/4*(B*b + A*c)*x^4 + 1/2*A*a*x^2 + 1/3*(B*a + A*b)*x^3","A",0
846,1,36,0,0.558025," ","integrate((B*x+A)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, B c x^{4} + \frac{1}{3} \, {\left(B b + A c\right)} x^{3} + A a x + \frac{1}{2} \, {\left(B a + A b\right)} x^{2}"," ",0,"1/4*B*c*x^4 + 1/3*(B*b + A*c)*x^3 + A*a*x + 1/2*(B*a + A*b)*x^2","A",0
847,1,34,0,0.526083," ","integrate((B*x+A)*(c*x^2+b*x+a)/x,x, algorithm=""maxima"")","\frac{1}{3} \, B c x^{3} + \frac{1}{2} \, {\left(B b + A c\right)} x^{2} + A a \log\left(x\right) + {\left(B a + A b\right)} x"," ",0,"1/3*B*c*x^3 + 1/2*(B*b + A*c)*x^2 + A*a*log(x) + (B*a + A*b)*x","A",0
848,1,34,0,0.532401," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, B c x^{2} + {\left(B b + A c\right)} x + {\left(B a + A b\right)} \log\left(x\right) - \frac{A a}{x}"," ",0,"1/2*B*c*x^2 + (B*b + A*c)*x + (B*a + A*b)*log(x) - A*a/x","A",0
849,1,34,0,0.500267," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^3,x, algorithm=""maxima"")","B c x + {\left(B b + A c\right)} \log\left(x\right) - \frac{A a + 2 \, {\left(B a + A b\right)} x}{2 \, x^{2}}"," ",0,"B*c*x + (B*b + A*c)*log(x) - 1/2*(A*a + 2*(B*a + A*b)*x)/x^2","A",0
850,1,38,0,0.616943," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^4,x, algorithm=""maxima"")","B c \log\left(x\right) - \frac{6 \, {\left(B b + A c\right)} x^{2} + 2 \, A a + 3 \, {\left(B a + A b\right)} x}{6 \, x^{3}}"," ",0,"B*c*log(x) - 1/6*(6*(B*b + A*c)*x^2 + 2*A*a + 3*(B*a + A*b)*x)/x^3","A",0
851,1,39,0,0.647221," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^5,x, algorithm=""maxima"")","-\frac{12 \, B c x^{3} + 6 \, {\left(B b + A c\right)} x^{2} + 3 \, A a + 4 \, {\left(B a + A b\right)} x}{12 \, x^{4}}"," ",0,"-1/12*(12*B*c*x^3 + 6*(B*b + A*c)*x^2 + 3*A*a + 4*(B*a + A*b)*x)/x^4","A",0
852,1,39,0,0.671498," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^6,x, algorithm=""maxima"")","-\frac{30 \, B c x^{3} + 20 \, {\left(B b + A c\right)} x^{2} + 12 \, A a + 15 \, {\left(B a + A b\right)} x}{60 \, x^{5}}"," ",0,"-1/60*(30*B*c*x^3 + 20*(B*b + A*c)*x^2 + 12*A*a + 15*(B*a + A*b)*x)/x^5","A",0
853,1,39,0,0.592866," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^7,x, algorithm=""maxima"")","-\frac{20 \, B c x^{3} + 15 \, {\left(B b + A c\right)} x^{2} + 10 \, A a + 12 \, {\left(B a + A b\right)} x}{60 \, x^{6}}"," ",0,"-1/60*(20*B*c*x^3 + 15*(B*b + A*c)*x^2 + 10*A*a + 12*(B*a + A*b)*x)/x^6","A",0
854,1,39,0,0.489606," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^8,x, algorithm=""maxima"")","-\frac{105 \, B c x^{3} + 84 \, {\left(B b + A c\right)} x^{2} + 60 \, A a + 70 \, {\left(B a + A b\right)} x}{420 \, x^{7}}"," ",0,"-1/420*(105*B*c*x^3 + 84*(B*b + A*c)*x^2 + 60*A*a + 70*(B*a + A*b)*x)/x^7","A",0
855,1,93,0,0.556597," ","integrate(x^2*(B*x+A)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{2} x^{8} + \frac{1}{7} \, {\left(2 \, B b c + A c^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{6} + \frac{1}{3} \, A a^{2} x^{3} + \frac{1}{5} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{5} + \frac{1}{4} \, {\left(B a^{2} + 2 \, A a b\right)} x^{4}"," ",0,"1/8*B*c^2*x^8 + 1/7*(2*B*b*c + A*c^2)*x^7 + 1/6*(B*b^2 + 2*(B*a + A*b)*c)*x^6 + 1/3*A*a^2*x^3 + 1/5*(2*B*a*b + A*b^2 + 2*A*a*c)*x^5 + 1/4*(B*a^2 + 2*A*a*b)*x^4","A",0
856,1,93,0,0.536780," ","integrate(x*(B*x+A)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{2} x^{7} + \frac{1}{6} \, {\left(2 \, B b c + A c^{2}\right)} x^{6} + \frac{1}{5} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{5} + \frac{1}{2} \, A a^{2} x^{2} + \frac{1}{4} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{4} + \frac{1}{3} \, {\left(B a^{2} + 2 \, A a b\right)} x^{3}"," ",0,"1/7*B*c^2*x^7 + 1/6*(2*B*b*c + A*c^2)*x^6 + 1/5*(B*b^2 + 2*(B*a + A*b)*c)*x^5 + 1/2*A*a^2*x^2 + 1/4*(2*B*a*b + A*b^2 + 2*A*a*c)*x^4 + 1/3*(B*a^2 + 2*A*a*b)*x^3","A",0
857,1,90,0,0.524081," ","integrate((B*x+A)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{2} x^{6} + \frac{1}{5} \, {\left(2 \, B b c + A c^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{4} + A a^{2} x + \frac{1}{3} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{3} + \frac{1}{2} \, {\left(B a^{2} + 2 \, A a b\right)} x^{2}"," ",0,"1/6*B*c^2*x^6 + 1/5*(2*B*b*c + A*c^2)*x^5 + 1/4*(B*b^2 + 2*(B*a + A*b)*c)*x^4 + A*a^2*x + 1/3*(2*B*a*b + A*b^2 + 2*A*a*c)*x^3 + 1/2*(B*a^2 + 2*A*a*b)*x^2","A",0
858,1,88,0,0.453688," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x,x, algorithm=""maxima"")","\frac{1}{5} \, B c^{2} x^{5} + \frac{1}{4} \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + \frac{1}{3} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{3} + A a^{2} \log\left(x\right) + \frac{1}{2} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{2} + {\left(B a^{2} + 2 \, A a b\right)} x"," ",0,"1/5*B*c^2*x^5 + 1/4*(2*B*b*c + A*c^2)*x^4 + 1/3*(B*b^2 + 2*(B*a + A*b)*c)*x^3 + A*a^2*log(x) + 1/2*(2*B*a*b + A*b^2 + 2*A*a*c)*x^2 + (B*a^2 + 2*A*a*b)*x","A",0
859,1,88,0,0.579957," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, B c^{2} x^{4} + \frac{1}{3} \, {\left(2 \, B b c + A c^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{2} - \frac{A a^{2}}{x} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x + {\left(B a^{2} + 2 \, A a b\right)} \log\left(x\right)"," ",0,"1/4*B*c^2*x^4 + 1/3*(2*B*b*c + A*c^2)*x^3 + 1/2*(B*b^2 + 2*(B*a + A*b)*c)*x^2 - A*a^2/x + (2*B*a*b + A*b^2 + 2*A*a*c)*x + (B*a^2 + 2*A*a*b)*log(x)","A",0
860,1,88,0,0.527081," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^3,x, algorithm=""maxima"")","\frac{1}{3} \, B c^{2} x^{3} + \frac{1}{2} \, {\left(2 \, B b c + A c^{2}\right)} x^{2} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} \log\left(x\right) - \frac{A a^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} x}{2 \, x^{2}}"," ",0,"1/3*B*c^2*x^3 + 1/2*(2*B*b*c + A*c^2)*x^2 + (B*b^2 + 2*(B*a + A*b)*c)*x + (2*B*a*b + A*b^2 + 2*A*a*c)*log(x) - 1/2*(A*a^2 + 2*(B*a^2 + 2*A*a*b)*x)/x^2","A",0
861,1,89,0,0.498838," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^4,x, algorithm=""maxima"")","\frac{1}{2} \, B c^{2} x^{2} + {\left(2 \, B b c + A c^{2}\right)} x + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} \log\left(x\right) - \frac{2 \, A a^{2} + 6 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{2} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} x}{6 \, x^{3}}"," ",0,"1/2*B*c^2*x^2 + (2*B*b*c + A*c^2)*x + (B*b^2 + 2*(B*a + A*b)*c)*log(x) - 1/6*(2*A*a^2 + 6*(2*B*a*b + A*b^2 + 2*A*a*c)*x^2 + 3*(B*a^2 + 2*A*a*b)*x)/x^3","A",0
862,1,89,0,0.751324," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^5,x, algorithm=""maxima"")","B c^{2} x + {\left(2 \, B b c + A c^{2}\right)} \log\left(x\right) - \frac{12 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{3} + 3 \, A a^{2} + 6 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{2} + 4 \, {\left(B a^{2} + 2 \, A a b\right)} x}{12 \, x^{4}}"," ",0,"B*c^2*x + (2*B*b*c + A*c^2)*log(x) - 1/12*(12*(B*b^2 + 2*(B*a + A*b)*c)*x^3 + 3*A*a^2 + 6*(2*B*a*b + A*b^2 + 2*A*a*c)*x^2 + 4*(B*a^2 + 2*A*a*b)*x)/x^4","A",0
863,1,92,0,0.717636," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^6,x, algorithm=""maxima"")","B c^{2} \log\left(x\right) - \frac{60 \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + 30 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{3} + 12 \, A a^{2} + 20 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{2} + 15 \, {\left(B a^{2} + 2 \, A a b\right)} x}{60 \, x^{5}}"," ",0,"B*c^2*log(x) - 1/60*(60*(2*B*b*c + A*c^2)*x^4 + 30*(B*b^2 + 2*(B*a + A*b)*c)*x^3 + 12*A*a^2 + 20*(2*B*a*b + A*b^2 + 2*A*a*c)*x^2 + 15*(B*a^2 + 2*A*a*b)*x)/x^5","A",0
864,1,93,0,0.461365," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^7,x, algorithm=""maxima"")","-\frac{60 \, B c^{2} x^{5} + 30 \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + 20 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{3} + 10 \, A a^{2} + 15 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{2} + 12 \, {\left(B a^{2} + 2 \, A a b\right)} x}{60 \, x^{6}}"," ",0,"-1/60*(60*B*c^2*x^5 + 30*(2*B*b*c + A*c^2)*x^4 + 20*(B*b^2 + 2*(B*a + A*b)*c)*x^3 + 10*A*a^2 + 15*(2*B*a*b + A*b^2 + 2*A*a*c)*x^2 + 12*(B*a^2 + 2*A*a*b)*x)/x^6","A",0
865,1,93,0,0.633626," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^8,x, algorithm=""maxima"")","-\frac{210 \, B c^{2} x^{5} + 140 \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + 105 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{3} + 60 \, A a^{2} + 84 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{2} + 70 \, {\left(B a^{2} + 2 \, A a b\right)} x}{420 \, x^{7}}"," ",0,"-1/420*(210*B*c^2*x^5 + 140*(2*B*b*c + A*c^2)*x^4 + 105*(B*b^2 + 2*(B*a + A*b)*c)*x^3 + 60*A*a^2 + 84*(2*B*a*b + A*b^2 + 2*A*a*c)*x^2 + 70*(B*a^2 + 2*A*a*b)*x)/x^7","A",0
866,1,93,0,0.599904," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^9,x, algorithm=""maxima"")","-\frac{280 \, B c^{2} x^{5} + 210 \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + 168 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{3} + 105 \, A a^{2} + 140 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{2} + 120 \, {\left(B a^{2} + 2 \, A a b\right)} x}{840 \, x^{8}}"," ",0,"-1/840*(280*B*c^2*x^5 + 210*(2*B*b*c + A*c^2)*x^4 + 168*(B*b^2 + 2*(B*a + A*b)*c)*x^3 + 105*A*a^2 + 140*(2*B*a*b + A*b^2 + 2*A*a*c)*x^2 + 120*(B*a^2 + 2*A*a*b)*x)/x^8","A",0
867,1,166,0,0.708460," ","integrate(x^2*(B*x+A)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{3} x^{10} + \frac{1}{9} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{9} + \frac{3}{8} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{8} + \frac{1}{7} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{7} + \frac{1}{3} \, A a^{3} x^{3} + \frac{1}{6} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{6} + \frac{3}{5} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{5} + \frac{1}{4} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{4}"," ",0,"1/10*B*c^3*x^10 + 1/9*(3*B*b*c^2 + A*c^3)*x^9 + 3/8*(B*b^2*c + (B*a + A*b)*c^2)*x^8 + 1/7*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^7 + 1/3*A*a^3*x^3 + 1/6*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^6 + 3/5*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^5 + 1/4*(B*a^3 + 3*A*a^2*b)*x^4","A",0
868,1,166,0,0.659766," ","integrate(x*(B*x+A)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{3} x^{9} + \frac{1}{8} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{8} + \frac{3}{7} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{6} + \frac{1}{2} \, A a^{3} x^{2} + \frac{1}{5} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{5} + \frac{3}{4} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{4} + \frac{1}{3} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{3}"," ",0,"1/9*B*c^3*x^9 + 1/8*(3*B*b*c^2 + A*c^3)*x^8 + 3/7*(B*b^2*c + (B*a + A*b)*c^2)*x^7 + 1/6*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^6 + 1/2*A*a^3*x^2 + 1/5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^5 + 3/4*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^4 + 1/3*(B*a^3 + 3*A*a^2*b)*x^3","A",0
869,1,162,0,0.576800," ","integrate((B*x+A)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{3} x^{8} + \frac{1}{7} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{7} + \frac{1}{2} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{6} + \frac{1}{5} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{5} + A a^{3} x + \frac{1}{4} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{4} + {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{3} + \frac{1}{2} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{2}"," ",0,"1/8*B*c^3*x^8 + 1/7*(3*B*b*c^2 + A*c^3)*x^7 + 1/2*(B*b^2*c + (B*a + A*b)*c^2)*x^6 + 1/5*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^5 + A*a^3*x + 1/4*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^4 + (B*a^2*b + A*a*b^2 + A*a^2*c)*x^3 + 1/2*(B*a^3 + 3*A*a^2*b)*x^2","A",0
870,1,161,0,0.484790," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{3} x^{7} + \frac{1}{6} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + \frac{3}{5} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{4} + A a^{3} \log\left(x\right) + \frac{1}{3} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + \frac{3}{2} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} x"," ",0,"1/7*B*c^3*x^7 + 1/6*(3*B*b*c^2 + A*c^3)*x^6 + 3/5*(B*b^2*c + (B*a + A*b)*c^2)*x^5 + 1/4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^4 + A*a^3*log(x) + 1/3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 3/2*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + (B*a^3 + 3*A*a^2*b)*x","A",0
871,1,162,0,0.520231," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^2,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{3} x^{6} + \frac{1}{5} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{5} + \frac{3}{4} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{4} + \frac{1}{3} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{3} - \frac{A a^{3}}{x} + \frac{1}{2} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{2} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x + {\left(B a^{3} + 3 \, A a^{2} b\right)} \log\left(x\right)"," ",0,"1/6*B*c^3*x^6 + 1/5*(3*B*b*c^2 + A*c^3)*x^5 + 3/4*(B*b^2*c + (B*a + A*b)*c^2)*x^4 + 1/3*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^3 - A*a^3/x + 1/2*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^2 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*x + (B*a^3 + 3*A*a^2*b)*log(x)","A",0
872,1,161,0,0.583544," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^3,x, algorithm=""maxima"")","\frac{1}{5} \, B c^{3} x^{5} + \frac{1}{4} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{4} + {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{2} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} \log\left(x\right) - \frac{A a^{3} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{2 \, x^{2}}"," ",0,"1/5*B*c^3*x^5 + 1/4*(3*B*b*c^2 + A*c^3)*x^4 + (B*b^2*c + (B*a + A*b)*c^2)*x^3 + 1/2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^2 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*log(x) - 1/2*(A*a^3 + 2*(B*a^3 + 3*A*a^2*b)*x)/x^2","A",0
873,1,162,0,0.492894," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^4,x, algorithm=""maxima"")","\frac{1}{4} \, B c^{3} x^{4} + \frac{1}{3} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{3} + \frac{3}{2} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{2} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} \log\left(x\right) - \frac{2 \, A a^{3} + 18 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{6 \, x^{3}}"," ",0,"1/4*B*c^3*x^4 + 1/3*(3*B*b*c^2 + A*c^3)*x^3 + 3/2*(B*b^2*c + (B*a + A*b)*c^2)*x^2 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*log(x) - 1/6*(2*A*a^3 + 18*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 3*(B*a^3 + 3*A*a^2*b)*x)/x^3","A",0
874,1,163,0,0.488986," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^5,x, algorithm=""maxima"")","\frac{1}{3} \, B c^{3} x^{3} + \frac{1}{2} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{2} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} \log\left(x\right) - \frac{3 \, A a^{3} + 12 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + 18 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 4 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{12 \, x^{4}}"," ",0,"1/3*B*c^3*x^3 + 1/2*(3*B*b*c^2 + A*c^3)*x^2 + 3*(B*b^2*c + (B*a + A*b)*c^2)*x + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*log(x) - 1/12*(3*A*a^3 + 12*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 18*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 4*(B*a^3 + 3*A*a^2*b)*x)/x^4","A",0
875,1,163,0,0.622358," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^6,x, algorithm=""maxima"")","\frac{1}{2} \, B c^{3} x^{2} + {\left(3 \, B b c^{2} + A c^{3}\right)} x + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} \log\left(x\right) - \frac{20 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{4} + 4 \, A a^{3} + 10 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + 20 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 5 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{20 \, x^{5}}"," ",0,"1/2*B*c^3*x^2 + (3*B*b*c^2 + A*c^3)*x + 3*(B*b^2*c + (B*a + A*b)*c^2)*log(x) - 1/20*(20*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^4 + 4*A*a^3 + 10*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 20*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 5*(B*a^3 + 3*A*a^2*b)*x)/x^5","A",0
876,1,162,0,0.539233," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^7,x, algorithm=""maxima"")","B c^{3} x + {\left(3 \, B b c^{2} + A c^{3}\right)} \log\left(x\right) - \frac{180 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{5} + 30 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{4} + 10 \, A a^{3} + 20 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + 45 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 12 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{60 \, x^{6}}"," ",0,"B*c^3*x + (3*B*b*c^2 + A*c^3)*log(x) - 1/60*(180*(B*b^2*c + (B*a + A*b)*c^2)*x^5 + 30*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^4 + 10*A*a^3 + 20*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 45*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 12*(B*a^3 + 3*A*a^2*b)*x)/x^6","A",0
877,1,165,0,0.537205," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^8,x, algorithm=""maxima"")","B c^{3} \log\left(x\right) - \frac{420 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + 630 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{5} + 140 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{4} + 60 \, A a^{3} + 105 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + 252 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 70 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{420 \, x^{7}}"," ",0,"B*c^3*log(x) - 1/420*(420*(3*B*b*c^2 + A*c^3)*x^6 + 630*(B*b^2*c + (B*a + A*b)*c^2)*x^5 + 140*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^4 + 60*A*a^3 + 105*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 252*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 70*(B*a^3 + 3*A*a^2*b)*x)/x^7","A",0
878,1,166,0,0.563714," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^9,x, algorithm=""maxima"")","-\frac{280 \, B c^{3} x^{7} + 140 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + 280 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{5} + 70 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{4} + 35 \, A a^{3} + 56 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + 140 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 40 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{280 \, x^{8}}"," ",0,"-1/280*(280*B*c^3*x^7 + 140*(3*B*b*c^2 + A*c^3)*x^6 + 280*(B*b^2*c + (B*a + A*b)*c^2)*x^5 + 70*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^4 + 35*A*a^3 + 56*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 140*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 40*(B*a^3 + 3*A*a^2*b)*x)/x^8","A",0
879,1,166,0,0.523108," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^10,x, algorithm=""maxima"")","-\frac{1260 \, B c^{3} x^{7} + 840 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + 1890 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{5} + 504 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{4} + 280 \, A a^{3} + 420 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + 1080 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 315 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{2520 \, x^{9}}"," ",0,"-1/2520*(1260*B*c^3*x^7 + 840*(3*B*b*c^2 + A*c^3)*x^6 + 1890*(B*b^2*c + (B*a + A*b)*c^2)*x^5 + 504*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^4 + 280*A*a^3 + 420*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 1080*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 315*(B*a^3 + 3*A*a^2*b)*x)/x^9","A",0
880,1,166,0,0.455061," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^11,x, algorithm=""maxima"")","-\frac{840 \, B c^{3} x^{7} + 630 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + 1512 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{5} + 420 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{4} + 252 \, A a^{3} + 360 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + 945 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 280 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{2520 \, x^{10}}"," ",0,"-1/2520*(840*B*c^3*x^7 + 630*(3*B*b*c^2 + A*c^3)*x^6 + 1512*(B*b^2*c + (B*a + A*b)*c^2)*x^5 + 420*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^4 + 252*A*a^3 + 360*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 945*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 280*(B*a^3 + 3*A*a^2*b)*x)/x^10","A",0
881,-2,0,0,0.000000," ","integrate(x^4*(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
882,-2,0,0,0.000000," ","integrate(x^3*(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
883,-2,0,0,0.000000," ","integrate(x^2*(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
884,-2,0,0,0.000000," ","integrate(x*(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
885,-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
886,-2,0,0,0.000000," ","integrate((e*x+d)/x/(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
887,-2,0,0,0.000000," ","integrate((e*x+d)/x^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
888,-2,0,0,0.000000," ","integrate((e*x+d)/x^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
889,-2,0,0,0.000000," ","integrate((e*x+d)/x^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
890,-2,0,0,0.000000," ","integrate(x^4*(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
891,-2,0,0,0.000000," ","integrate(x^3*(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
892,-2,0,0,0.000000," ","integrate(x^2*(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
893,-2,0,0,0.000000," ","integrate(x*(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
894,-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
895,-2,0,0,0.000000," ","integrate((e*x+d)/x/(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
896,-2,0,0,0.000000," ","integrate((e*x+d)/x^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
897,-2,0,0,0.000000," ","integrate((e*x+d)/x^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
898,1,9,0,0.491335," ","integrate((5+2*x)/(x^2+5*x+4),x, algorithm=""maxima"")","\log\left(x^{2} + 5 \, x + 4\right)"," ",0,"log(x^2 + 5*x + 4)","A",0
899,1,13,0,0.445062," ","integrate((7+3*x)/(x^2+6*x+8),x, algorithm=""maxima"")","\frac{5}{2} \, \log\left(x + 4\right) + \frac{1}{2} \, \log\left(x + 2\right)"," ",0,"5/2*log(x + 4) + 1/2*log(x + 2)","A",0
900,1,14,0,1.419210," ","integrate((5+2*x)/(x^2+4*x+5),x, algorithm=""maxima"")","\arctan\left(x + 2\right) + \log\left(x^{2} + 4 \, x + 5\right)"," ",0,"arctan(x + 2) + log(x^2 + 4*x + 5)","A",0
901,1,26,0,1.355573," ","integrate((-2+7*x)/(2*x^2-16*x+42),x, algorithm=""maxima"")","\frac{13}{5} \, \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} {\left(x - 4\right)}\right) + \frac{7}{4} \, \log\left(x^{2} - 8 \, x + 21\right)"," ",0,"13/5*sqrt(5)*arctan(1/5*sqrt(5)*(x - 4)) + 7/4*log(x^2 - 8*x + 21)","A",0
902,1,39,0,1.319128," ","integrate((3+x)/(x^2+3*x+1),x, algorithm=""maxima"")","\frac{3}{10} \, \sqrt{5} \log\left(\frac{2 \, x - \sqrt{5} + 3}{2 \, x + \sqrt{5} + 3}\right) + \frac{1}{2} \, \log\left(x^{2} + 3 \, x + 1\right)"," ",0,"3/10*sqrt(5)*log((2*x - sqrt(5) + 3)/(2*x + sqrt(5) + 3)) + 1/2*log(x^2 + 3*x + 1)","A",0
903,1,41,0,1.140459," ","integrate((-1+2*x)/(4*x^2+8*x+1),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{3} \log\left(\frac{2 \, x - \sqrt{3} + 2}{2 \, x + \sqrt{3} + 2}\right) + \frac{1}{4} \, \log\left(4 \, x^{2} + 8 \, x + 1\right)"," ",0,"-1/4*sqrt(3)*log((2*x - sqrt(3) + 2)/(2*x + sqrt(3) + 2)) + 1/4*log(4*x^2 + 8*x + 1)","A",0
904,1,14,0,0.527775," ","integrate((3+2*x)/(4*x^2+12*x+13)^2,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(4 \, x^{2} + 12 \, x + 13\right)}}"," ",0,"-1/4/(4*x^2 + 12*x + 13)","A",0
905,1,22,0,1.176077," ","integrate((4+x)/(x^2+4*x+5)^2,x, algorithm=""maxima"")","\frac{2 \, x + 3}{2 \, {\left(x^{2} + 4 \, x + 5\right)}} + \arctan\left(x + 2\right)"," ",0,"1/2*(2*x + 3)/(x^2 + 4*x + 5) + arctan(x + 2)","A",0
906,1,32,0,1.296709," ","integrate((-1+3*x)/(x^2+x+1)^2,x, algorithm=""maxima"")","-\frac{10}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{5 \, x + 7}{3 \, {\left(x^{2} + x + 1\right)}}"," ",0,"-10/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/3*(5*x + 7)/(x^2 + x + 1)","A",0
907,1,54,0,1.264616," ","integrate((1+x)/(x^2-x+1)^3,x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{2 \, x^{3} - 3 \, x^{2} + 4 \, x - 2}{2 \, {\left(x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1\right)}}"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/2*(2*x^3 - 3*x^2 + 4*x - 2)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)","A",0
908,1,10,0,0.476011," ","integrate(1/(B*x+A),x, algorithm=""maxima"")","\frac{\log\left(B x + A\right)}{B}"," ",0,"log(B*x + A)/B","A",0
909,1,22,0,0.709720," ","integrate((B*x+A)/(B^2*x^2+2*A*B*x+A^2),x, algorithm=""maxima"")","\frac{\log\left(B^{2} x^{2} + 2 \, A B x + A^{2}\right)}{2 \, B}"," ",0,"1/2*log(B^2*x^2 + 2*A*B*x + A^2)/B","B",0
910,-2,0,0,0.000000," ","integrate(x^4*(B*x+A)*(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
911,-2,0,0,0.000000," ","integrate(x^3*(B*x+A)*(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
912,-2,0,0,0.000000," ","integrate(x^2*(B*x+A)*(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
913,-2,0,0,0.000000," ","integrate(x*(B*x+A)*(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
914,-2,0,0,0.000000," ","integrate((B*x+A)*(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
915,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
916,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
917,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
918,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^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, negative or zero?","F(-2)",0
919,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^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, negative or zero?","F(-2)",0
920,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^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 positive, negative or zero?","F(-2)",0
921,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^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 positive, negative or zero?","F(-2)",0
922,-2,0,0,0.000000," ","integrate(x^4*(B*x+A)*(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
923,-2,0,0,0.000000," ","integrate(x^3*(B*x+A)*(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
924,-2,0,0,0.000000," ","integrate(x^2*(B*x+A)*(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
925,-2,0,0,0.000000," ","integrate(x*(B*x+A)*(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
926,-2,0,0,0.000000," ","integrate((B*x+A)*(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
927,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
928,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
929,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
930,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^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, negative or zero?","F(-2)",0
931,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^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, negative or zero?","F(-2)",0
932,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^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 positive, negative or zero?","F(-2)",0
933,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^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 positive, negative or zero?","F(-2)",0
934,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/x^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 positive, negative or zero?","F(-2)",0
935,-2,0,0,0.000000," ","integrate(x^4*(B*x+A)*(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
936,-2,0,0,0.000000," ","integrate(x^3*(B*x+A)*(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
937,-2,0,0,0.000000," ","integrate(x^2*(B*x+A)*(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
938,-2,0,0,0.000000," ","integrate(x*(B*x+A)*(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
939,-2,0,0,0.000000," ","integrate((B*x+A)*(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
940,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
941,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
942,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
943,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^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, negative or zero?","F(-2)",0
944,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^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, negative or zero?","F(-2)",0
945,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^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 positive, negative or zero?","F(-2)",0
946,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^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 positive, negative or zero?","F(-2)",0
947,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^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 positive, negative or zero?","F(-2)",0
948,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^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 positive, negative or zero?","F(-2)",0
949,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(5/2)/x^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 positive, negative or zero?","F(-2)",0
950,-2,0,0,0.000000," ","integrate(x^4*(B*x+A)/(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
951,-2,0,0,0.000000," ","integrate(x^3*(B*x+A)/(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
952,-2,0,0,0.000000," ","integrate(x^2*(B*x+A)/(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
953,-2,0,0,0.000000," ","integrate(x*(B*x+A)/(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
954,-2,0,0,0.000000," ","integrate((B*x+A)/(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
955,-2,0,0,0.000000," ","integrate((B*x+A)/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 zero or nonzero?","F(-2)",0
956,-2,0,0,0.000000," ","integrate((B*x+A)/x^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
957,-2,0,0,0.000000," ","integrate((B*x+A)/x^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
958,-2,0,0,0.000000," ","integrate((B*x+A)/x^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
959,-2,0,0,0.000000," ","integrate((B*x+A)/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 positive, negative or zero?","F(-2)",0
960,-2,0,0,0.000000," ","integrate((B*x+A)/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 positive, negative or zero?","F(-2)",0
961,-2,0,0,0.000000," ","integrate(x^4*(B*x+A)/(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
962,-2,0,0,0.000000," ","integrate(x^3*(B*x+A)/(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
963,-2,0,0,0.000000," ","integrate(x^2*(B*x+A)/(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
964,-2,0,0,0.000000," ","integrate(x*(B*x+A)/(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
965,-2,0,0,0.000000," ","integrate((B*x+A)/(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
966,-2,0,0,0.000000," ","integrate((B*x+A)/x/(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
967,-2,0,0,0.000000," ","integrate((B*x+A)/x^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
968,-2,0,0,0.000000," ","integrate((B*x+A)/x^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
969,-2,0,0,0.000000," ","integrate((B*x+A)/x^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
970,-2,0,0,0.000000," ","integrate(x^4*(B*x+A)/(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
971,-2,0,0,0.000000," ","integrate(x^3*(B*x+A)/(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
972,-2,0,0,0.000000," ","integrate(x^2*(B*x+A)/(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
973,-2,0,0,0.000000," ","integrate(x*(B*x+A)/(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
974,-2,0,0,0.000000," ","integrate((B*x+A)/(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
975,-2,0,0,0.000000," ","integrate((B*x+A)/x/(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
976,-2,0,0,0.000000," ","integrate((B*x+A)/x^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
977,-2,0,0,0.000000," ","integrate((B*x+A)/x^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
978,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
979,-2,0,0,0.000000," ","integrate((e*x+d)/(c*x^2+b*x+a)^(9/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
980,1,48,0,0.710903," ","integrate((1-x)/x/(x^2+3*x+1)^(1/2),x, algorithm=""maxima"")","-\log\left(2 \, x + 2 \, \sqrt{x^{2} + 3 \, x + 1} + 3\right) - \log\left(\frac{2 \, \sqrt{x^{2} + 3 \, x + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}} + 3\right)"," ",0,"-log(2*x + 2*sqrt(x^2 + 3*x + 1) + 3) - log(2*sqrt(x^2 + 3*x + 1)/abs(x) + 2/abs(x) + 3)","B",0
981,1,39,0,0.598961," ","integrate(x^(7/2)*(B*x+A)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2}{15} \, B c x^{\frac{15}{2}} + \frac{2}{13} \, {\left(B b + A c\right)} x^{\frac{13}{2}} + \frac{2}{9} \, A a x^{\frac{9}{2}} + \frac{2}{11} \, {\left(B a + A b\right)} x^{\frac{11}{2}}"," ",0,"2/15*B*c*x^(15/2) + 2/13*(B*b + A*c)*x^(13/2) + 2/9*A*a*x^(9/2) + 2/11*(B*a + A*b)*x^(11/2)","A",0
982,1,39,0,0.568371," ","integrate(x^(5/2)*(B*x+A)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2}{13} \, B c x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B b + A c\right)} x^{\frac{11}{2}} + \frac{2}{7} \, A a x^{\frac{7}{2}} + \frac{2}{9} \, {\left(B a + A b\right)} x^{\frac{9}{2}}"," ",0,"2/13*B*c*x^(13/2) + 2/11*(B*b + A*c)*x^(11/2) + 2/7*A*a*x^(7/2) + 2/9*(B*a + A*b)*x^(9/2)","A",0
983,1,39,0,0.483969," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2}{11} \, B c x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B b + A c\right)} x^{\frac{9}{2}} + \frac{2}{5} \, A a x^{\frac{5}{2}} + \frac{2}{7} \, {\left(B a + A b\right)} x^{\frac{7}{2}}"," ",0,"2/11*B*c*x^(11/2) + 2/9*(B*b + A*c)*x^(9/2) + 2/5*A*a*x^(5/2) + 2/7*(B*a + A*b)*x^(7/2)","A",0
984,1,39,0,0.497025," ","integrate((B*x+A)*(c*x^2+b*x+a)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B b + A c\right)} x^{\frac{7}{2}} + \frac{2}{3} \, A a x^{\frac{3}{2}} + \frac{2}{5} \, {\left(B a + A b\right)} x^{\frac{5}{2}}"," ",0,"2/9*B*c*x^(9/2) + 2/7*(B*b + A*c)*x^(7/2) + 2/3*A*a*x^(3/2) + 2/5*(B*a + A*b)*x^(5/2)","A",0
985,1,39,0,0.500336," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B b + A c\right)} x^{\frac{5}{2}} + 2 \, A a \sqrt{x} + \frac{2}{3} \, {\left(B a + A b\right)} x^{\frac{3}{2}}"," ",0,"2/7*B*c*x^(7/2) + 2/5*(B*b + A*c)*x^(5/2) + 2*A*a*sqrt(x) + 2/3*(B*a + A*b)*x^(3/2)","A",0
986,1,39,0,0.555461," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, B c x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B b + A c\right)} x^{\frac{3}{2}} - \frac{2 \, A a}{\sqrt{x}} + 2 \, {\left(B a + A b\right)} \sqrt{x}"," ",0,"2/5*B*c*x^(5/2) + 2/3*(B*b + A*c)*x^(3/2) - 2*A*a/sqrt(x) + 2*(B*a + A*b)*sqrt(x)","A",0
987,1,39,0,0.662450," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{3} \, B c x^{\frac{3}{2}} + 2 \, {\left(B b + A c\right)} \sqrt{x} - \frac{2 \, {\left(A a + 3 \, {\left(B a + A b\right)} x\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*B*c*x^(3/2) + 2*(B*b + A*c)*sqrt(x) - 2/3*(A*a + 3*(B*a + A*b)*x)/x^(3/2)","A",0
988,1,40,0,0.690222," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^(7/2),x, algorithm=""maxima"")","2 \, B c \sqrt{x} - \frac{2 \, {\left(15 \, {\left(B b + A c\right)} x^{2} + 3 \, A a + 5 \, {\left(B a + A b\right)} x\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2*B*c*sqrt(x) - 2/15*(15*(B*b + A*c)*x^2 + 3*A*a + 5*(B*a + A*b)*x)/x^(5/2)","A",0
989,1,39,0,0.524142," ","integrate((B*x+A)*(c*x^2+b*x+a)/x^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(105 \, B c x^{3} + 35 \, {\left(B b + A c\right)} x^{2} + 15 \, A a + 21 \, {\left(B a + A b\right)} x\right)}}{105 \, x^{\frac{7}{2}}}"," ",0,"-2/105*(105*B*c*x^3 + 35*(B*b + A*c)*x^2 + 15*A*a + 21*(B*a + A*b)*x)/x^(7/2)","A",0
990,1,93,0,0.520366," ","integrate(x^(7/2)*(B*x+A)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2}{19} \, B c^{2} x^{\frac{19}{2}} + \frac{2}{17} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{17}{2}} + \frac{2}{15} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{\frac{15}{2}} + \frac{2}{9} \, A a^{2} x^{\frac{9}{2}} + \frac{2}{13} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{11}{2}}"," ",0,"2/19*B*c^2*x^(19/2) + 2/17*(2*B*b*c + A*c^2)*x^(17/2) + 2/15*(B*b^2 + 2*(B*a + A*b)*c)*x^(15/2) + 2/9*A*a^2*x^(9/2) + 2/13*(2*B*a*b + A*b^2 + 2*A*a*c)*x^(13/2) + 2/11*(B*a^2 + 2*A*a*b)*x^(11/2)","A",0
991,1,93,0,0.458491," ","integrate(x^(5/2)*(B*x+A)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2}{17} \, B c^{2} x^{\frac{17}{2}} + \frac{2}{15} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{15}{2}} + \frac{2}{13} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{\frac{13}{2}} + \frac{2}{7} \, A a^{2} x^{\frac{7}{2}} + \frac{2}{11} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{9}{2}}"," ",0,"2/17*B*c^2*x^(17/2) + 2/15*(2*B*b*c + A*c^2)*x^(15/2) + 2/13*(B*b^2 + 2*(B*a + A*b)*c)*x^(13/2) + 2/7*A*a^2*x^(7/2) + 2/11*(2*B*a*b + A*b^2 + 2*A*a*c)*x^(11/2) + 2/9*(B*a^2 + 2*A*a*b)*x^(9/2)","A",0
992,1,93,0,0.534512," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2}{15} \, B c^{2} x^{\frac{15}{2}} + \frac{2}{13} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{\frac{11}{2}} + \frac{2}{5} \, A a^{2} x^{\frac{5}{2}} + \frac{2}{9} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{7}{2}}"," ",0,"2/15*B*c^2*x^(15/2) + 2/13*(2*B*b*c + A*c^2)*x^(13/2) + 2/11*(B*b^2 + 2*(B*a + A*b)*c)*x^(11/2) + 2/5*A*a^2*x^(5/2) + 2/9*(2*B*a*b + A*b^2 + 2*A*a*c)*x^(9/2) + 2/7*(B*a^2 + 2*A*a*b)*x^(7/2)","A",0
993,1,93,0,0.497674," ","integrate((B*x+A)*(c*x^2+b*x+a)^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{13} \, B c^{2} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{\frac{9}{2}} + \frac{2}{3} \, A a^{2} x^{\frac{3}{2}} + \frac{2}{7} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{5}{2}}"," ",0,"2/13*B*c^2*x^(13/2) + 2/11*(2*B*b*c + A*c^2)*x^(11/2) + 2/9*(B*b^2 + 2*(B*a + A*b)*c)*x^(9/2) + 2/3*A*a^2*x^(3/2) + 2/7*(2*B*a*b + A*b^2 + 2*A*a*c)*x^(7/2) + 2/5*(B*a^2 + 2*A*a*b)*x^(5/2)","A",0
994,1,93,0,0.531409," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^(1/2),x, algorithm=""maxima"")","\frac{2}{11} \, B c^{2} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{\frac{7}{2}} + 2 \, A a^{2} \sqrt{x} + \frac{2}{5} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B a^{2} + 2 \, A a b\right)} x^{\frac{3}{2}}"," ",0,"2/11*B*c^2*x^(11/2) + 2/9*(2*B*b*c + A*c^2)*x^(9/2) + 2/7*(B*b^2 + 2*(B*a + A*b)*c)*x^(7/2) + 2*A*a^2*sqrt(x) + 2/5*(2*B*a*b + A*b^2 + 2*A*a*c)*x^(5/2) + 2/3*(B*a^2 + 2*A*a*b)*x^(3/2)","A",0
995,1,93,0,0.564446," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^(3/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c^{2} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{\frac{5}{2}} - \frac{2 \, A a^{2}}{\sqrt{x}} + \frac{2}{3} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{\frac{3}{2}} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} \sqrt{x}"," ",0,"2/9*B*c^2*x^(9/2) + 2/7*(2*B*b*c + A*c^2)*x^(7/2) + 2/5*(B*b^2 + 2*(B*a + A*b)*c)*x^(5/2) - 2*A*a^2/sqrt(x) + 2/3*(2*B*a*b + A*b^2 + 2*A*a*c)*x^(3/2) + 2*(B*a^2 + 2*A*a*b)*sqrt(x)","A",0
996,1,93,0,0.574221," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^(5/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c^{2} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{\frac{3}{2}} + 2 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} \sqrt{x} - \frac{2 \, {\left(A a^{2} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} x\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/7*B*c^2*x^(7/2) + 2/5*(2*B*b*c + A*c^2)*x^(5/2) + 2/3*(B*b^2 + 2*(B*a + A*b)*c)*x^(3/2) + 2*(2*B*a*b + A*b^2 + 2*A*a*c)*sqrt(x) - 2/3*(A*a^2 + 3*(B*a^2 + 2*A*a*b)*x)/x^(3/2)","A",0
997,1,94,0,0.622921," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^(7/2),x, algorithm=""maxima"")","\frac{2}{5} \, B c^{2} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{3}{2}} + 2 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} \sqrt{x} - \frac{2 \, {\left(3 \, A a^{2} + 15 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{2} + 5 \, {\left(B a^{2} + 2 \, A a b\right)} x\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2/5*B*c^2*x^(5/2) + 2/3*(2*B*b*c + A*c^2)*x^(3/2) + 2*(B*b^2 + 2*(B*a + A*b)*c)*sqrt(x) - 2/15*(3*A*a^2 + 15*(2*B*a*b + A*b^2 + 2*A*a*c)*x^2 + 5*(B*a^2 + 2*A*a*b)*x)/x^(5/2)","A",0
998,1,94,0,0.478358," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/x^(9/2),x, algorithm=""maxima"")","\frac{2}{3} \, B c^{2} x^{\frac{3}{2}} + 2 \, {\left(2 \, B b c + A c^{2}\right)} \sqrt{x} - \frac{2 \, {\left(105 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{3} + 15 \, A a^{2} + 35 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{2} + 21 \, {\left(B a^{2} + 2 \, A a b\right)} x\right)}}{105 \, x^{\frac{7}{2}}}"," ",0,"2/3*B*c^2*x^(3/2) + 2*(2*B*b*c + A*c^2)*sqrt(x) - 2/105*(105*(B*b^2 + 2*(B*a + A*b)*c)*x^3 + 15*A*a^2 + 35*(2*B*a*b + A*b^2 + 2*A*a*c)*x^2 + 21*(B*a^2 + 2*A*a*b)*x)/x^(7/2)","A",0
999,1,166,0,0.558823," ","integrate(x^(7/2)*(B*x+A)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{2}{23} \, B c^{3} x^{\frac{23}{2}} + \frac{2}{21} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{21}{2}} + \frac{6}{19} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{\frac{19}{2}} + \frac{2}{17} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{\frac{17}{2}} + \frac{2}{9} \, A a^{3} x^{\frac{9}{2}} + \frac{2}{15} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{\frac{15}{2}} + \frac{6}{13} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{11}{2}}"," ",0,"2/23*B*c^3*x^(23/2) + 2/21*(3*B*b*c^2 + A*c^3)*x^(21/2) + 6/19*(B*b^2*c + (B*a + A*b)*c^2)*x^(19/2) + 2/17*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^(17/2) + 2/9*A*a^3*x^(9/2) + 2/15*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^(15/2) + 6/13*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^(13/2) + 2/11*(B*a^3 + 3*A*a^2*b)*x^(11/2)","A",0
1000,1,166,0,0.681878," ","integrate(x^(5/2)*(B*x+A)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{2}{21} \, B c^{3} x^{\frac{21}{2}} + \frac{2}{19} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{19}{2}} + \frac{6}{17} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{\frac{17}{2}} + \frac{2}{15} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{\frac{15}{2}} + \frac{2}{7} \, A a^{3} x^{\frac{7}{2}} + \frac{2}{13} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{\frac{13}{2}} + \frac{6}{11} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{9}{2}}"," ",0,"2/21*B*c^3*x^(21/2) + 2/19*(3*B*b*c^2 + A*c^3)*x^(19/2) + 6/17*(B*b^2*c + (B*a + A*b)*c^2)*x^(17/2) + 2/15*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^(15/2) + 2/7*A*a^3*x^(7/2) + 2/13*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^(13/2) + 6/11*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^(11/2) + 2/9*(B*a^3 + 3*A*a^2*b)*x^(9/2)","A",0
1001,1,166,0,0.662921," ","integrate(x^(3/2)*(B*x+A)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{2}{19} \, B c^{3} x^{\frac{19}{2}} + \frac{2}{17} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{17}{2}} + \frac{2}{5} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{\frac{15}{2}} + \frac{2}{13} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{\frac{13}{2}} + \frac{2}{5} \, A a^{3} x^{\frac{5}{2}} + \frac{2}{11} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{\frac{11}{2}} + \frac{2}{3} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{7}{2}}"," ",0,"2/19*B*c^3*x^(19/2) + 2/17*(3*B*b*c^2 + A*c^3)*x^(17/2) + 2/5*(B*b^2*c + (B*a + A*b)*c^2)*x^(15/2) + 2/13*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^(13/2) + 2/5*A*a^3*x^(5/2) + 2/11*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^(11/2) + 2/3*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^(9/2) + 2/7*(B*a^3 + 3*A*a^2*b)*x^(7/2)","A",0
1002,1,166,0,0.531745," ","integrate((B*x+A)*(c*x^2+b*x+a)^3*x^(1/2),x, algorithm=""maxima"")","\frac{2}{17} \, B c^{3} x^{\frac{17}{2}} + \frac{2}{15} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{15}{2}} + \frac{6}{13} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{\frac{11}{2}} + \frac{2}{3} \, A a^{3} x^{\frac{3}{2}} + \frac{2}{9} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{\frac{9}{2}} + \frac{6}{7} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{5}{2}}"," ",0,"2/17*B*c^3*x^(17/2) + 2/15*(3*B*b*c^2 + A*c^3)*x^(15/2) + 6/13*(B*b^2*c + (B*a + A*b)*c^2)*x^(13/2) + 2/11*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^(11/2) + 2/3*A*a^3*x^(3/2) + 2/9*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^(9/2) + 6/7*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^(7/2) + 2/5*(B*a^3 + 3*A*a^2*b)*x^(5/2)","A",0
1003,1,166,0,0.562033," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, B c^{3} x^{\frac{15}{2}} + \frac{2}{13} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{13}{2}} + \frac{6}{11} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{\frac{9}{2}} + 2 \, A a^{3} \sqrt{x} + \frac{2}{7} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{\frac{7}{2}} + \frac{6}{5} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{\frac{3}{2}}"," ",0,"2/15*B*c^3*x^(15/2) + 2/13*(3*B*b*c^2 + A*c^3)*x^(13/2) + 6/11*(B*b^2*c + (B*a + A*b)*c^2)*x^(11/2) + 2/9*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^(9/2) + 2*A*a^3*sqrt(x) + 2/7*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^(7/2) + 6/5*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^(5/2) + 2/3*(B*a^3 + 3*A*a^2*b)*x^(3/2)","A",0
1004,1,166,0,0.593282," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^(3/2),x, algorithm=""maxima"")","\frac{2}{13} \, B c^{3} x^{\frac{13}{2}} + \frac{2}{11} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{11}{2}} + \frac{2}{3} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{\frac{7}{2}} - \frac{2 \, A a^{3}}{\sqrt{x}} + \frac{2}{5} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{\frac{5}{2}} + 2 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{\frac{3}{2}} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} \sqrt{x}"," ",0,"2/13*B*c^3*x^(13/2) + 2/11*(3*B*b*c^2 + A*c^3)*x^(11/2) + 2/3*(B*b^2*c + (B*a + A*b)*c^2)*x^(9/2) + 2/7*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^(7/2) - 2*A*a^3/sqrt(x) + 2/5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^(5/2) + 2*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^(3/2) + 2*(B*a^3 + 3*A*a^2*b)*sqrt(x)","A",0
1005,1,166,0,0.573578," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^(5/2),x, algorithm=""maxima"")","\frac{2}{11} \, B c^{3} x^{\frac{11}{2}} + \frac{2}{9} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{9}{2}} + \frac{6}{7} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{\frac{3}{2}} + 6 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} \sqrt{x} - \frac{2 \, {\left(A a^{3} + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/11*B*c^3*x^(11/2) + 2/9*(3*B*b*c^2 + A*c^3)*x^(9/2) + 6/7*(B*b^2*c + (B*a + A*b)*c^2)*x^(7/2) + 2/5*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^(5/2) + 2/3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^(3/2) + 6*(B*a^2*b + A*a*b^2 + A*a^2*c)*sqrt(x) - 2/3*(A*a^3 + 3*(B*a^3 + 3*A*a^2*b)*x)/x^(3/2)","A",0
1006,1,167,0,0.500092," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^(7/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c^{3} x^{\frac{9}{2}} + \frac{2}{7} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{7}{2}} + \frac{6}{5} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{\frac{3}{2}} + 2 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} \sqrt{x} - \frac{2 \, {\left(3 \, A a^{3} + 45 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 5 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2/9*B*c^3*x^(9/2) + 2/7*(3*B*b*c^2 + A*c^3)*x^(7/2) + 6/5*(B*b^2*c + (B*a + A*b)*c^2)*x^(5/2) + 2/3*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^(3/2) + 2*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*sqrt(x) - 2/15*(3*A*a^3 + 45*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 5*(B*a^3 + 3*A*a^2*b)*x)/x^(5/2)","A",0
1007,1,167,0,0.517914," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^(9/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c^{3} x^{\frac{7}{2}} + \frac{2}{5} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{5}{2}} + 2 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{\frac{3}{2}} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} \sqrt{x} - \frac{2 \, {\left(5 \, A a^{3} + 35 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + 35 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 7 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x\right)}}{35 \, x^{\frac{7}{2}}}"," ",0,"2/7*B*c^3*x^(7/2) + 2/5*(3*B*b*c^2 + A*c^3)*x^(5/2) + 2*(B*b^2*c + (B*a + A*b)*c^2)*x^(3/2) + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*sqrt(x) - 2/35*(5*A*a^3 + 35*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 35*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 7*(B*a^3 + 3*A*a^2*b)*x)/x^(7/2)","A",0
1008,1,167,0,0.526995," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/x^(11/2),x, algorithm=""maxima"")","\frac{2}{5} \, B c^{3} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{3}{2}} + 6 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} \sqrt{x} - \frac{2 \, {\left(315 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{4} + 35 \, A a^{3} + 105 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{3} + 189 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} + 45 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x\right)}}{315 \, x^{\frac{9}{2}}}"," ",0,"2/5*B*c^3*x^(5/2) + 2/3*(3*B*b*c^2 + A*c^3)*x^(3/2) + 6*(B*b^2*c + (B*a + A*b)*c^2)*sqrt(x) - 2/315*(315*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^4 + 35*A*a^3 + 105*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^3 + 189*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 + 45*(B*a^3 + 3*A*a^2*b)*x)/x^(9/2)","A",0
1009,0,0,0,0.000000," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, B c x^{\frac{5}{2}} - 5 \, {\left(B b - A c\right)} x^{\frac{3}{2}}\right)}}{15 \, c^{2}} - \int \frac{{\left(A b c - {\left(b^{2} - a c\right)} B\right)} x^{\frac{3}{2}} - {\left(B a b - A a c\right)} \sqrt{x}}{c^{3} x^{2} + b c^{2} x + a c^{2}}\,{d x}"," ",0,"2/15*(3*B*c*x^(5/2) - 5*(B*b - A*c)*x^(3/2))/c^2 - integrate(((A*b*c - (b^2 - a*c)*B)*x^(3/2) - (B*a*b - A*a*c)*sqrt(x))/(c^3*x^2 + b*c^2*x + a*c^2), x)","F",0
1010,0,0,0,0.000000," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2 \, B x^{\frac{3}{2}}}{3 \, c} + \int -\frac{B a \sqrt{x} + {\left(B b - A c\right)} x^{\frac{3}{2}}}{c^{2} x^{2} + b c x + a c}\,{d x}"," ",0,"2/3*B*x^(3/2)/c + integrate(-(B*a*sqrt(x) + (B*b - A*c)*x^(3/2))/(c^2*x^2 + b*c*x + a*c), x)","F",0
1011,0,0,0,0.000000," ","integrate((B*x+A)*x^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{x}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(x)/(c*x^2 + b*x + a), x)","F",0
1012,0,0,0,0.000000," ","integrate((B*x+A)/(c*x^2+b*x+a)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, A \sqrt{x}}{a} - \int \frac{A c x^{\frac{3}{2}} - {\left(B a - A b\right)} \sqrt{x}}{a c x^{2} + a b x + a^{2}}\,{d x}"," ",0,"2*A*sqrt(x)/a - integrate((A*c*x^(3/2) - (B*a - A*b)*sqrt(x))/(a*c*x^2 + a*b*x + a^2), x)","F",0
1013,0,0,0,0.000000," ","integrate((B*x+A)/x^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{A a}{\sqrt{x}} - {\left(B a - A b\right)} \sqrt{x}\right)}}{a^{2}} + \int -\frac{{\left(B a c - A b c\right)} x^{\frac{3}{2}} + {\left(B a b - {\left(b^{2} - a c\right)} A\right)} \sqrt{x}}{a^{2} c x^{2} + a^{2} b x + a^{3}}\,{d x}"," ",0,"-2*(A*a/sqrt(x) - (B*a - A*b)*sqrt(x))/a^2 + integrate(-((B*a*c - A*b*c)*x^(3/2) + (B*a*b - (b^2 - a*c)*A)*sqrt(x))/(a^2*c*x^2 + a^2*b*x + a^3), x)","F",0
1014,0,0,0,0.000000," ","integrate((B*x+A)/x^(5/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{A a^{2}}{x^{\frac{3}{2}}} + 3 \, {\left(B a b - {\left(b^{2} - a c\right)} A\right)} \sqrt{x} + \frac{3 \, {\left(B a^{2} - A a b\right)}}{\sqrt{x}}\right)}}{3 \, a^{3}} + \int \frac{{\left(B a b c - {\left(b^{2} c - a c^{2}\right)} A\right)} x^{\frac{3}{2}} - {\left({\left(b^{3} - 2 \, a b c\right)} A - {\left(a b^{2} - a^{2} c\right)} B\right)} \sqrt{x}}{a^{3} c x^{2} + a^{3} b x + a^{4}}\,{d x}"," ",0,"-2/3*(A*a^2/x^(3/2) + 3*(B*a*b - (b^2 - a*c)*A)*sqrt(x) + 3*(B*a^2 - A*a*b)/sqrt(x))/a^3 + integrate(((B*a*b*c - (b^2*c - a*c^2)*A)*x^(3/2) - ((b^3 - 2*a*b*c)*A - (a*b^2 - a^2*c)*B)*sqrt(x))/(a^3*c*x^2 + a^3*b*x + a^4), x)","F",0
1015,0,0,0,0.000000," ","integrate((B*x+A)/x^(7/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{3 \, A a^{3}}{x^{\frac{5}{2}}} + 15 \, {\left({\left(b^{3} - 2 \, a b c\right)} A - {\left(a b^{2} - a^{2} c\right)} B\right)} \sqrt{x} - \frac{15 \, {\left(B a^{2} b - {\left(a b^{2} - a^{2} c\right)} A\right)}}{\sqrt{x}} + \frac{5 \, {\left(B a^{3} - A a^{2} b\right)}}{x^{\frac{3}{2}}}\right)}}{15 \, a^{4}} - \int -\frac{{\left({\left(b^{3} c - 2 \, a b c^{2}\right)} A - {\left(a b^{2} c - a^{2} c^{2}\right)} B\right)} x^{\frac{3}{2}} + {\left({\left(b^{4} - 3 \, a b^{2} c + a^{2} c^{2}\right)} A - {\left(a b^{3} - 2 \, a^{2} b c\right)} B\right)} \sqrt{x}}{a^{4} c x^{2} + a^{4} b x + a^{5}}\,{d x}"," ",0,"-2/15*(3*A*a^3/x^(5/2) + 15*((b^3 - 2*a*b*c)*A - (a*b^2 - a^2*c)*B)*sqrt(x) - 15*(B*a^2*b - (a*b^2 - a^2*c)*A)/sqrt(x) + 5*(B*a^3 - A*a^2*b)/x^(3/2))/a^4 - integrate(-(((b^3*c - 2*a*b*c^2)*A - (a*b^2*c - a^2*c^2)*B)*x^(3/2) + ((b^4 - 3*a*b^2*c + a^2*c^2)*A - (a*b^3 - 2*a^2*b*c)*B)*sqrt(x))/(a^4*c*x^2 + a^4*b*x + a^5), x)","F",0
1016,0,0,0,0.000000," ","integrate((B*x+A)/x^(9/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{15 \, A a^{4}}{x^{\frac{7}{2}}} - 105 \, {\left({\left(b^{4} - 3 \, a b^{2} c + a^{2} c^{2}\right)} A - {\left(a b^{3} - 2 \, a^{2} b c\right)} B\right)} \sqrt{x} - \frac{105 \, {\left({\left(a b^{3} - 2 \, a^{2} b c\right)} A - {\left(a^{2} b^{2} - a^{3} c\right)} B\right)}}{\sqrt{x}} - \frac{35 \, {\left(B a^{3} b - {\left(a^{2} b^{2} - a^{3} c\right)} A\right)}}{x^{\frac{3}{2}}} + \frac{21 \, {\left(B a^{4} - A a^{3} b\right)}}{x^{\frac{5}{2}}}\right)}}{105 \, a^{5}} - \int \frac{{\left({\left(b^{4} c - 3 \, a b^{2} c^{2} + a^{2} c^{3}\right)} A - {\left(a b^{3} c - 2 \, a^{2} b c^{2}\right)} B\right)} x^{\frac{3}{2}} + {\left({\left(b^{5} - 4 \, a b^{3} c + 3 \, a^{2} b c^{2}\right)} A - {\left(a b^{4} - 3 \, a^{2} b^{2} c + a^{3} c^{2}\right)} B\right)} \sqrt{x}}{a^{5} c x^{2} + a^{5} b x + a^{6}}\,{d x}"," ",0,"-2/105*(15*A*a^4/x^(7/2) - 105*((b^4 - 3*a*b^2*c + a^2*c^2)*A - (a*b^3 - 2*a^2*b*c)*B)*sqrt(x) - 105*((a*b^3 - 2*a^2*b*c)*A - (a^2*b^2 - a^3*c)*B)/sqrt(x) - 35*(B*a^3*b - (a^2*b^2 - a^3*c)*A)/x^(3/2) + 21*(B*a^4 - A*a^3*b)/x^(5/2))/a^5 - integrate((((b^4*c - 3*a*b^2*c^2 + a^2*c^3)*A - (a*b^3*c - 2*a^2*b*c^2)*B)*x^(3/2) + ((b^5 - 4*a*b^3*c + 3*a^2*b*c^2)*A - (a*b^4 - 3*a^2*b^2*c + a^3*c^2)*B)*sqrt(x))/(a^5*c*x^2 + a^5*b*x + a^6), x)","F",0
1017,0,0,0,0.000000," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{{\left(A b c - {\left(b^{2} - 2 \, a c\right)} B\right)} x^{\frac{5}{2}} - {\left(B a b - 2 \, A a c\right)} x^{\frac{3}{2}}}{a b^{2} c - 4 \, a^{2} c^{2} + {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{2} + {\left(b^{3} c - 4 \, a b c^{2}\right)} x} + \int -\frac{{\left(A b c - {\left(3 \, b^{2} - 10 \, a c\right)} B\right)} x^{\frac{3}{2}} - 3 \, {\left(B a b - 2 \, A a c\right)} \sqrt{x}}{2 \, {\left(a b^{2} c - 4 \, a^{2} c^{2} + {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{2} + {\left(b^{3} c - 4 \, a b c^{2}\right)} x\right)}}\,{d x}"," ",0,"((A*b*c - (b^2 - 2*a*c)*B)*x^(5/2) - (B*a*b - 2*A*a*c)*x^(3/2))/(a*b^2*c - 4*a^2*c^2 + (b^2*c^2 - 4*a*c^3)*x^2 + (b^3*c - 4*a*b*c^2)*x) + integrate(-1/2*((A*b*c - (3*b^2 - 10*a*c)*B)*x^(3/2) - 3*(B*a*b - 2*A*a*c)*sqrt(x))/(a*b^2*c - 4*a^2*c^2 + (b^2*c^2 - 4*a*c^3)*x^2 + (b^3*c - 4*a*b*c^2)*x), x)","F",0
1018,0,0,0,0.000000," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{{\left(B b - 2 \, A c\right)} x^{\frac{5}{2}} + {\left(2 \, B a - A b\right)} x^{\frac{3}{2}}}{a b^{2} - 4 \, a^{2} c + {\left(b^{2} c - 4 \, a c^{2}\right)} x^{2} + {\left(b^{3} - 4 \, a b c\right)} x} - \int \frac{{\left(B b - 2 \, A c\right)} x^{\frac{3}{2}} + 3 \, {\left(2 \, B a - A b\right)} \sqrt{x}}{2 \, {\left(a b^{2} - 4 \, a^{2} c + {\left(b^{2} c - 4 \, a c^{2}\right)} x^{2} + {\left(b^{3} - 4 \, a b c\right)} x\right)}}\,{d x}"," ",0,"((B*b - 2*A*c)*x^(5/2) + (2*B*a - A*b)*x^(3/2))/(a*b^2 - 4*a^2*c + (b^2*c - 4*a*c^2)*x^2 + (b^3 - 4*a*b*c)*x) - integrate(1/2*((B*b - 2*A*c)*x^(3/2) + 3*(2*B*a - A*b)*sqrt(x))/(a*b^2 - 4*a^2*c + (b^2*c - 4*a*c^2)*x^2 + (b^3 - 4*a*b*c)*x), x)","F",0
1019,0,0,0,0.000000," ","integrate((B*x+A)*x^(1/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{{\left(2 \, B a c - A b c\right)} x^{\frac{5}{2}} + {\left(B a b - {\left(b^{2} - 2 \, a c\right)} A\right)} x^{\frac{3}{2}}}{a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{2} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x} + \int \frac{{\left(2 \, B a c - A b c\right)} x^{\frac{3}{2}} + {\left(3 \, B a b - {\left(b^{2} + 2 \, a c\right)} A\right)} \sqrt{x}}{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{2} + {\left(a b^{3} - 4 \, a^{2} b c\right)} x\right)}}\,{d x}"," ",0,"-((2*B*a*c - A*b*c)*x^(5/2) + (B*a*b - (b^2 - 2*a*c)*A)*x^(3/2))/(a^2*b^2 - 4*a^3*c + (a*b^2*c - 4*a^2*c^2)*x^2 + (a*b^3 - 4*a^2*b*c)*x) + integrate(1/2*((2*B*a*c - A*b*c)*x^(3/2) + (3*B*a*b - (b^2 + 2*a*c)*A)*sqrt(x))/(a^2*b^2 - 4*a^3*c + (a*b^2*c - 4*a^2*c^2)*x^2 + (a*b^3 - 4*a^2*b*c)*x), x)","F",0
1020,0,0,0,0.000000," ","integrate((B*x+A)/(c*x^2+b*x+a)^2/x^(1/2),x, algorithm=""maxima"")","\frac{{\left(B a b c + {\left(b^{2} c - 6 \, a c^{2}\right)} A\right)} x^{\frac{5}{2}} + 2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} A \sqrt{x} + {\left({\left(b^{3} - 5 \, a b c\right)} A + {\left(a b^{2} - 2 \, a^{2} c\right)} B\right)} x^{\frac{3}{2}}}{a^{3} b^{2} - 4 \, a^{4} c + {\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} x^{2} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} x} - \int \frac{{\left(B a b c + {\left(b^{2} c - 6 \, a c^{2}\right)} A\right)} x^{\frac{3}{2}} + {\left({\left(b^{3} - 7 \, a b c\right)} A + {\left(a b^{2} + 2 \, a^{2} c\right)} B\right)} \sqrt{x}}{2 \, {\left(a^{3} b^{2} - 4 \, a^{4} c + {\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} x^{2} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} x\right)}}\,{d x}"," ",0,"((B*a*b*c + (b^2*c - 6*a*c^2)*A)*x^(5/2) + 2*(a*b^2 - 4*a^2*c)*A*sqrt(x) + ((b^3 - 5*a*b*c)*A + (a*b^2 - 2*a^2*c)*B)*x^(3/2))/(a^3*b^2 - 4*a^4*c + (a^2*b^2*c - 4*a^3*c^2)*x^2 + (a^2*b^3 - 4*a^3*b*c)*x) - integrate(1/2*((B*a*b*c + (b^2*c - 6*a*c^2)*A)*x^(3/2) + ((b^3 - 7*a*b*c)*A + (a*b^2 + 2*a^2*c)*B)*sqrt(x))/(a^3*b^2 - 4*a^4*c + (a^2*b^2*c - 4*a^3*c^2)*x^2 + (a^2*b^3 - 4*a^3*b*c)*x), x)","F",0
1021,0,0,0,0.000000," ","integrate((B*x+A)/x^(3/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{{\left({\left(3 \, b^{3} c - 13 \, a b c^{2}\right)} A - {\left(a b^{2} c - 6 \, a^{2} c^{2}\right)} B\right)} x^{\frac{5}{2}} + {\left({\left(3 \, b^{4} - 10 \, a b^{2} c - 10 \, a^{2} c^{2}\right)} A - {\left(a b^{3} - 5 \, a^{2} b c\right)} B\right)} x^{\frac{3}{2}} + \frac{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} A}{\sqrt{x}} + 2 \, {\left(3 \, {\left(a b^{3} - 4 \, a^{2} b c\right)} A - {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} B\right)} \sqrt{x}}{a^{4} b^{2} - 4 \, a^{5} c + {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} x^{2} + {\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} x} + \int \frac{{\left({\left(3 \, b^{3} c - 13 \, a b c^{2}\right)} A - {\left(a b^{2} c - 6 \, a^{2} c^{2}\right)} B\right)} x^{\frac{3}{2}} + {\left({\left(3 \, b^{4} - 16 \, a b^{2} c + 10 \, a^{2} c^{2}\right)} A - {\left(a b^{3} - 7 \, a^{2} b c\right)} B\right)} \sqrt{x}}{2 \, {\left(a^{4} b^{2} - 4 \, a^{5} c + {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} x^{2} + {\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} x\right)}}\,{d x}"," ",0,"-(((3*b^3*c - 13*a*b*c^2)*A - (a*b^2*c - 6*a^2*c^2)*B)*x^(5/2) + ((3*b^4 - 10*a*b^2*c - 10*a^2*c^2)*A - (a*b^3 - 5*a^2*b*c)*B)*x^(3/2) + 2*(a^2*b^2 - 4*a^3*c)*A/sqrt(x) + 2*(3*(a*b^3 - 4*a^2*b*c)*A - (a^2*b^2 - 4*a^3*c)*B)*sqrt(x))/(a^4*b^2 - 4*a^5*c + (a^3*b^2*c - 4*a^4*c^2)*x^2 + (a^3*b^3 - 4*a^4*b*c)*x) + integrate(1/2*(((3*b^3*c - 13*a*b*c^2)*A - (a*b^2*c - 6*a^2*c^2)*B)*x^(3/2) + ((3*b^4 - 16*a*b^2*c + 10*a^2*c^2)*A - (a*b^3 - 7*a^2*b*c)*B)*sqrt(x))/(a^4*b^2 - 4*a^5*c + (a^3*b^2*c - 4*a^4*c^2)*x^2 + (a^3*b^3 - 4*a^4*b*c)*x), x)","F",0
1022,0,0,0,0.000000," ","integrate((B*x+A)/x^(5/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{3 \, {\left({\left(5 \, b^{4} c - 24 \, a b^{2} c^{2} + 14 \, a^{2} c^{3}\right)} A - {\left(3 \, a b^{3} c - 13 \, a^{2} b c^{2}\right)} B\right)} x^{\frac{5}{2}} + 3 \, {\left({\left(5 \, b^{5} - 19 \, a b^{3} c - 5 \, a^{2} b c^{2}\right)} A - {\left(3 \, a b^{4} - 10 \, a^{2} b^{2} c - 10 \, a^{3} c^{2}\right)} B\right)} x^{\frac{3}{2}} + 2 \, {\left({\left(15 \, a b^{4} - 67 \, a^{2} b^{2} c + 28 \, a^{3} c^{2}\right)} A - 9 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} B\right)} \sqrt{x} - \frac{2 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} A}{x^{\frac{3}{2}}} + \frac{2 \, {\left(5 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} A - 3 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} B\right)}}{\sqrt{x}}}{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({\left(5 \, b^{4} c - 24 \, a b^{2} c^{2} + 14 \, a^{2} c^{3}\right)} A - {\left(3 \, a b^{3} c - 13 \, a^{2} b c^{2}\right)} B\right)} x^{\frac{3}{2}} + {\left({\left(5 \, b^{5} - 29 \, a b^{3} c + 33 \, a^{2} b c^{2}\right)} A - {\left(3 \, a b^{4} - 16 \, a^{2} b^{2} c + 10 \, a^{3} c^{2}\right)} B\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)*A - (3*a*b^3*c - 13*a^2*b*c^2)*B)*x^(5/2) + 3*((5*b^5 - 19*a*b^3*c - 5*a^2*b*c^2)*A - (3*a*b^4 - 10*a^2*b^2*c - 10*a^3*c^2)*B)*x^(3/2) + 2*((15*a*b^4 - 67*a^2*b^2*c + 28*a^3*c^2)*A - 9*(a^2*b^3 - 4*a^3*b*c)*B)*sqrt(x) - 2*(a^3*b^2 - 4*a^4*c)*A/x^(3/2) + 2*(5*(a^2*b^3 - 4*a^3*b*c)*A - 3*(a^3*b^2 - 4*a^4*c)*B)/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) + integrate(-1/2*(((5*b^4*c - 24*a*b^2*c^2 + 14*a^2*c^3)*A - (3*a*b^3*c - 13*a^2*b*c^2)*B)*x^(3/2) + ((5*b^5 - 29*a*b^3*c + 33*a^2*b*c^2)*A - (3*a*b^4 - 16*a^2*b^2*c + 10*a^3*c^2)*B)*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
1023,0,0,0,0.000000," ","integrate(x^(7/2)*(B*x+A)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{{\left({\left(b^{2} c^{2} + 20 \, a c^{3}\right)} A + 3 \, {\left(b^{3} c - 8 \, a b c^{2}\right)} B\right)} x^{\frac{9}{2}} + {\left(3 \, {\left(b^{3} c + 8 \, a b c^{2}\right)} A + {\left(b^{4} - 11 \, a b^{2} c - 44 \, a^{2} c^{2}\right)} B\right)} x^{\frac{7}{2}} + {\left({\left(17 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} A + 2 \, {\left(a b^{3} - 22 \, a^{2} b c\right)} B\right)} x^{\frac{5}{2}} + {\left(12 \, A a^{2} b c + {\left(a^{2} b^{2} - 28 \, a^{3} c\right)} B\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{{\left({\left(b^{2} c + 20 \, a c^{2}\right)} A + 3 \, {\left(b^{3} - 8 \, a b c\right)} B\right)} x^{\frac{3}{2}} + 3 \, {\left(12 \, A a b c + {\left(a b^{2} - 28 \, a^{2} c\right)} B\right)} \sqrt{x}}{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*(((b^2*c^2 + 20*a*c^3)*A + 3*(b^3*c - 8*a*b*c^2)*B)*x^(9/2) + (3*(b^3*c + 8*a*b*c^2)*A + (b^4 - 11*a*b^2*c - 44*a^2*c^2)*B)*x^(7/2) + ((17*a*b^2*c + 4*a^2*c^2)*A + 2*(a*b^3 - 22*a^2*b*c)*B)*x^(5/2) + (12*A*a^2*b*c + (a^2*b^2 - 28*a^3*c)*B)*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(1/8*(((b^2*c + 20*a*c^2)*A + 3*(b^3 - 8*a*b*c)*B)*x^(3/2) + 3*(12*A*a*b*c + (a*b^2 - 28*a^2*c)*B)*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
1024,0,0,0,0.000000," ","integrate(x^(5/2)*(B*x+A)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","-\frac{{\left(12 \, A b c^{2} - {\left(b^{2} c + 20 \, a c^{2}\right)} B\right)} x^{\frac{9}{2}} + 3 \, {\left({\left(7 \, b^{2} c - 4 \, a c^{2}\right)} A - {\left(b^{3} + 8 \, a b c\right)} B\right)} x^{\frac{7}{2}} + {\left({\left(7 \, b^{3} + 8 \, a b c\right)} A - {\left(17 \, a b^{2} + 4 \, a^{2} c\right)} B\right)} x^{\frac{5}{2}} - {\left(12 \, B a^{2} b - {\left(5 \, a b^{2} + 4 \, a^{2} c\right)} A\right)} x^{\frac{3}{2}}}{4 \, {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2} + {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{4} + 2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} x^{3} + {\left(b^{6} - 6 \, a b^{4} c + 32 \, a^{3} c^{3}\right)} x^{2} + 2 \, {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} x\right)}} + \int \frac{{\left(12 \, A b c - {\left(b^{2} + 20 \, a c\right)} B\right)} x^{\frac{3}{2}} - 3 \, {\left(12 \, B a b - {\left(5 \, b^{2} + 4 \, a c\right)} A\right)} \sqrt{x}}{8 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2} + {\left(b^{4} c - 8 \, a b^{2} c^{2} + 16 \, a^{2} c^{3}\right)} x^{2} + {\left(b^{5} - 8 \, a b^{3} c + 16 \, a^{2} b c^{2}\right)} x\right)}}\,{d x}"," ",0,"-1/4*((12*A*b*c^2 - (b^2*c + 20*a*c^2)*B)*x^(9/2) + 3*((7*b^2*c - 4*a*c^2)*A - (b^3 + 8*a*b*c)*B)*x^(7/2) + ((7*b^3 + 8*a*b*c)*A - (17*a*b^2 + 4*a^2*c)*B)*x^(5/2) - (12*B*a^2*b - (5*a*b^2 + 4*a^2*c)*A)*x^(3/2))/(a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2 + (b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*x^4 + 2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*x^3 + (b^6 - 6*a*b^4*c + 32*a^3*c^3)*x^2 + 2*(a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*x) + integrate(1/8*((12*A*b*c - (b^2 + 20*a*c)*B)*x^(3/2) - 3*(12*B*a*b - (5*b^2 + 4*a*c)*A)*sqrt(x))/(a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2 + (b^4*c - 8*a*b^2*c^2 + 16*a^2*c^3)*x^2 + (b^5 - 8*a*b^3*c + 16*a^2*b*c^2)*x), x)","F",0
1025,0,0,0,0.000000," ","integrate(x^(3/2)*(B*x+A)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","-\frac{3 \, {\left(4 \, B a b c^{2} - {\left(b^{2} c^{2} + 4 \, a c^{3}\right)} A\right)} x^{\frac{9}{2}} - 3 \, {\left(2 \, {\left(b^{3} c + 2 \, a b c^{2}\right)} A - {\left(7 \, a b^{2} c - 4 \, a^{2} c^{2}\right)} B\right)} x^{\frac{7}{2}} - {\left({\left(3 \, b^{4} - a b^{2} c + 28 \, a^{2} c^{2}\right)} A - {\left(7 \, a b^{3} + 8 \, a^{2} b c\right)} B\right)} x^{\frac{5}{2}} - {\left({\left(a b^{3} + 8 \, a^{2} b c\right)} A - {\left(5 \, a^{2} b^{2} + 4 \, a^{3} c\right)} B\right)} x^{\frac{3}{2}}}{4 \, {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2} + {\left(a b^{4} c^{2} - 8 \, a^{2} b^{2} c^{3} + 16 \, a^{3} c^{4}\right)} x^{4} + 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} x^{3} + {\left(a b^{6} - 6 \, a^{2} b^{4} c + 32 \, a^{4} c^{3}\right)} x^{2} + 2 \, {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} x\right)}} - \int -\frac{3 \, {\left({\left(4 \, B a b c - {\left(b^{2} c + 4 \, a c^{2}\right)} A\right)} x^{\frac{3}{2}} - {\left({\left(b^{3} + 8 \, a b c\right)} A - {\left(5 \, a b^{2} + 4 \, a^{2} c\right)} B\right)} \sqrt{x}\right)}}{8 \, {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2} + {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3}\right)} x^{2} + {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} x\right)}}\,{d x}"," ",0,"-1/4*(3*(4*B*a*b*c^2 - (b^2*c^2 + 4*a*c^3)*A)*x^(9/2) - 3*(2*(b^3*c + 2*a*b*c^2)*A - (7*a*b^2*c - 4*a^2*c^2)*B)*x^(7/2) - ((3*b^4 - a*b^2*c + 28*a^2*c^2)*A - (7*a*b^3 + 8*a^2*b*c)*B)*x^(5/2) - ((a*b^3 + 8*a^2*b*c)*A - (5*a^2*b^2 + 4*a^3*c)*B)*x^(3/2))/(a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2 + (a*b^4*c^2 - 8*a^2*b^2*c^3 + 16*a^3*c^4)*x^4 + 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*x^3 + (a*b^6 - 6*a^2*b^4*c + 32*a^4*c^3)*x^2 + 2*(a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*x) - integrate(-3/8*((4*B*a*b*c - (b^2*c + 4*a*c^2)*A)*x^(3/2) - ((b^3 + 8*a*b*c)*A - (5*a*b^2 + 4*a^2*c)*B)*sqrt(x))/(a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2 + (a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3)*x^2 + (a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*x), x)","F",0
1026,0,0,0,0.000000," ","integrate((B*x+A)*x^(1/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{{\left({\left(b^{3} c^{2} - 16 \, a b c^{3}\right)} A + 3 \, {\left(a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} B\right)} x^{\frac{9}{2}} + {\left({\left(2 \, b^{4} c - 31 \, a b^{2} c^{2} + 20 \, a^{2} c^{3}\right)} A + 6 \, {\left(a b^{3} c + 2 \, a^{2} b c^{2}\right)} B\right)} x^{\frac{7}{2}} + {\left({\left(b^{5} - 12 \, a b^{3} c - 4 \, a^{2} b c^{2}\right)} A + {\left(3 \, a b^{4} - a^{2} b^{2} c + 28 \, a^{3} c^{2}\right)} B\right)} x^{\frac{5}{2}} + {\left(3 \, {\left(a b^{4} - 9 \, a^{2} b^{2} c + 12 \, a^{3} c^{2}\right)} A + {\left(a^{2} b^{3} + 8 \, a^{3} b c\right)} B\right)} x^{\frac{3}{2}}}{4 \, {\left(a^{4} b^{4} - 8 \, a^{5} b^{2} c + 16 \, a^{6} c^{2} + {\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} x^{4} + 2 \, {\left(a^{2} b^{5} c - 8 \, a^{3} b^{3} c^{2} + 16 \, a^{4} b c^{3}\right)} x^{3} + {\left(a^{2} b^{6} - 6 \, a^{3} b^{4} c + 32 \, a^{5} c^{3}\right)} x^{2} + 2 \, {\left(a^{3} b^{5} - 8 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} x\right)}} + \int -\frac{{\left({\left(b^{3} c - 16 \, a b c^{2}\right)} A + 3 \, {\left(a b^{2} c + 4 \, a^{2} c^{2}\right)} B\right)} x^{\frac{3}{2}} + {\left({\left(b^{4} - 17 \, a b^{2} c - 20 \, a^{2} c^{2}\right)} A + 3 \, {\left(a b^{3} + 8 \, a^{2} b c\right)} B\right)} \sqrt{x}}{8 \, {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2} + {\left(a^{2} b^{4} c - 8 \, a^{3} b^{2} c^{2} + 16 \, a^{4} c^{3}\right)} x^{2} + {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} x\right)}}\,{d x}"," ",0,"1/4*(((b^3*c^2 - 16*a*b*c^3)*A + 3*(a*b^2*c^2 + 4*a^2*c^3)*B)*x^(9/2) + ((2*b^4*c - 31*a*b^2*c^2 + 20*a^2*c^3)*A + 6*(a*b^3*c + 2*a^2*b*c^2)*B)*x^(7/2) + ((b^5 - 12*a*b^3*c - 4*a^2*b*c^2)*A + (3*a*b^4 - a^2*b^2*c + 28*a^3*c^2)*B)*x^(5/2) + (3*(a*b^4 - 9*a^2*b^2*c + 12*a^3*c^2)*A + (a^2*b^3 + 8*a^3*b*c)*B)*x^(3/2))/(a^4*b^4 - 8*a^5*b^2*c + 16*a^6*c^2 + (a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*x^4 + 2*(a^2*b^5*c - 8*a^3*b^3*c^2 + 16*a^4*b*c^3)*x^3 + (a^2*b^6 - 6*a^3*b^4*c + 32*a^5*c^3)*x^2 + 2*(a^3*b^5 - 8*a^4*b^3*c + 16*a^5*b*c^2)*x) + integrate(-1/8*(((b^3*c - 16*a*b*c^2)*A + 3*(a*b^2*c + 4*a^2*c^2)*B)*x^(3/2) + ((b^4 - 17*a*b^2*c - 20*a^2*c^2)*A + 3*(a*b^3 + 8*a^2*b*c)*B)*sqrt(x))/(a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2 + (a^2*b^4*c - 8*a^3*b^2*c^2 + 16*a^4*c^3)*x^2 + (a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*x), x)","F",0
1027,0,0,0,0.000000," ","integrate((B*x+A)/(c*x^2+b*x+a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(b^{4} c^{2} - 9 \, a b^{2} c^{3} + 28 \, a^{2} c^{4}\right)} A + {\left(a b^{3} c^{2} - 16 \, a^{2} b c^{3}\right)} B\right)} x^{\frac{9}{2}} + {\left(3 \, {\left(2 \, b^{5} c - 17 \, a b^{3} c^{2} + 48 \, a^{2} b c^{3}\right)} A + {\left(2 \, a b^{4} c - 31 \, a^{2} b^{2} c^{2} + 20 \, a^{3} c^{3}\right)} B\right)} x^{\frac{7}{2}} + {\left({\left(3 \, b^{6} - 15 \, a b^{4} c - 19 \, a^{2} b^{2} c^{2} + 196 \, a^{3} c^{3}\right)} A + {\left(a b^{5} - 12 \, a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} B\right)} x^{\frac{5}{2}} + 8 \, {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)} A \sqrt{x} + {\left({\left(9 \, a b^{5} - 74 \, a^{2} b^{3} c + 164 \, a^{3} b c^{2}\right)} A + 3 \, {\left(a^{2} b^{4} - 9 \, a^{3} b^{2} c + 12 \, a^{4} c^{2}\right)} B\right)} x^{\frac{3}{2}}}{4 \, {\left(a^{5} b^{4} - 8 \, a^{6} b^{2} c + 16 \, a^{7} c^{2} + {\left(a^{3} b^{4} c^{2} - 8 \, a^{4} b^{2} c^{3} + 16 \, a^{5} c^{4}\right)} x^{4} + 2 \, {\left(a^{3} b^{5} c - 8 \, a^{4} b^{3} c^{2} + 16 \, a^{5} b c^{3}\right)} x^{3} + {\left(a^{3} b^{6} - 6 \, a^{4} b^{4} c + 32 \, a^{6} c^{3}\right)} x^{2} + 2 \, {\left(a^{4} b^{5} - 8 \, a^{5} b^{3} c + 16 \, a^{6} b c^{2}\right)} x\right)}} - \int \frac{{\left(3 \, {\left(b^{4} c - 9 \, a b^{2} c^{2} + 28 \, a^{2} c^{3}\right)} A + {\left(a b^{3} c - 16 \, a^{2} b c^{2}\right)} B\right)} x^{\frac{3}{2}} + {\left(3 \, {\left(b^{5} - 10 \, a b^{3} c + 36 \, a^{2} b c^{2}\right)} A + {\left(a b^{4} - 17 \, a^{2} b^{2} c - 20 \, a^{3} c^{2}\right)} B\right)} \sqrt{x}}{8 \, {\left(a^{4} b^{4} - 8 \, a^{5} b^{2} c + 16 \, a^{6} c^{2} + {\left(a^{3} b^{4} c - 8 \, a^{4} b^{2} c^{2} + 16 \, a^{5} c^{3}\right)} x^{2} + {\left(a^{3} b^{5} - 8 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} x\right)}}\,{d x}"," ",0,"1/4*((3*(b^4*c^2 - 9*a*b^2*c^3 + 28*a^2*c^4)*A + (a*b^3*c^2 - 16*a^2*b*c^3)*B)*x^(9/2) + (3*(2*b^5*c - 17*a*b^3*c^2 + 48*a^2*b*c^3)*A + (2*a*b^4*c - 31*a^2*b^2*c^2 + 20*a^3*c^3)*B)*x^(7/2) + ((3*b^6 - 15*a*b^4*c - 19*a^2*b^2*c^2 + 196*a^3*c^3)*A + (a*b^5 - 12*a^2*b^3*c - 4*a^3*b*c^2)*B)*x^(5/2) + 8*(a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)*A*sqrt(x) + ((9*a*b^5 - 74*a^2*b^3*c + 164*a^3*b*c^2)*A + 3*(a^2*b^4 - 9*a^3*b^2*c + 12*a^4*c^2)*B)*x^(3/2))/(a^5*b^4 - 8*a^6*b^2*c + 16*a^7*c^2 + (a^3*b^4*c^2 - 8*a^4*b^2*c^3 + 16*a^5*c^4)*x^4 + 2*(a^3*b^5*c - 8*a^4*b^3*c^2 + 16*a^5*b*c^3)*x^3 + (a^3*b^6 - 6*a^4*b^4*c + 32*a^6*c^3)*x^2 + 2*(a^4*b^5 - 8*a^5*b^3*c + 16*a^6*b*c^2)*x) - integrate(1/8*((3*(b^4*c - 9*a*b^2*c^2 + 28*a^2*c^3)*A + (a*b^3*c - 16*a^2*b*c^2)*B)*x^(3/2) + (3*(b^5 - 10*a*b^3*c + 36*a^2*b*c^2)*A + (a*b^4 - 17*a^2*b^2*c - 20*a^3*c^2)*B)*sqrt(x))/(a^4*b^4 - 8*a^5*b^2*c + 16*a^6*c^2 + (a^3*b^4*c - 8*a^4*b^2*c^2 + 16*a^5*c^3)*x^2 + (a^3*b^5 - 8*a^4*b^3*c + 16*a^5*b*c^2)*x), x)","F",0
1028,-2,0,0,0.000000," ","integrate((B*x+A)/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
1029,0,0,0,0.000000," ","integrate((B*x+A)*x^(1/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(B x + A\right)} \sqrt{x}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(B*x + A)*sqrt(x), x)","F",0
1030,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} {\left(B x + A\right)}}{\sqrt{x}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(B*x + A)/sqrt(x), x)","F",0
1031,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} {\left(B x + A\right)}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(B*x + A)/x^(3/2), x)","F",0
1032,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} {\left(B x + A\right)}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(B*x + A)/x^(5/2), x)","F",0
1033,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/x^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} {\left(B x + A\right)}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(B*x + A)/x^(7/2), x)","F",0
1034,0,0,0,0.000000," ","integrate((2-5*x)*x^(7/2)*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)} x^{\frac{7}{2}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)*x^(7/2), x)","F",0
1035,0,0,0,0.000000," ","integrate((2-5*x)*x^(5/2)*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)} x^{\frac{5}{2}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)*x^(5/2), x)","F",0
1036,0,0,0,0.000000," ","integrate((2-5*x)*x^(3/2)*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)} x^{\frac{3}{2}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)*x^(3/2), x)","F",0
1037,0,0,0,0.000000," ","integrate((2-5*x)*x^(1/2)*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)} \sqrt{x}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)*sqrt(x), x)","F",0
1038,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)}}{\sqrt{x}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)/sqrt(x), x)","F",0
1039,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(3/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)/x^(3/2), x)","F",0
1040,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(5/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)/x^(5/2), x)","F",0
1041,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(7/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)/x^(7/2), x)","F",0
1042,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(9/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)/x^(9/2), x)","F",0
1043,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(1/2)/x^(11/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(5 \, x - 2\right)}}{x^{\frac{11}{2}}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(5*x - 2)/x^(11/2), x)","F",0
1044,0,0,0,0.000000," ","integrate((2-5*x)*x^(5/2)*(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)} x^{\frac{5}{2}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)*x^(5/2), x)","F",0
1045,0,0,0,0.000000," ","integrate((2-5*x)*x^(3/2)*(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)} x^{\frac{3}{2}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)*x^(3/2), x)","F",0
1046,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(3/2)*x^(1/2),x, algorithm=""maxima"")","-\int {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)} \sqrt{x}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)*sqrt(x), x)","F",0
1047,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)}}{\sqrt{x}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)/sqrt(x), x)","F",0
1048,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)/x^(3/2), x)","F",0
1049,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)/x^(5/2), x)","F",0
1050,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(7/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)/x^(7/2), x)","F",0
1051,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(9/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)/x^(9/2), x)","F",0
1052,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(11/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)}}{x^{\frac{11}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)/x^(11/2), x)","F",0
1053,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(13/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)}}{x^{\frac{13}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)/x^(13/2), x)","F",0
1054,0,0,0,0.000000," ","integrate((2-5*x)*(3*x^2+5*x+2)^(3/2)/x^(15/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(5 \, x - 2\right)}}{x^{\frac{15}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(5*x - 2)/x^(15/2), x)","F",0
1055,0,0,0,0.000000," ","integrate((B*x+A)/(e*x)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x + a} \sqrt{e x}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x + a)*sqrt(e*x)), x)","F",0
1056,0,0,0,0.000000," ","integrate((2-5*x)*x^(7/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{7}{2}}}{\sqrt{3 \, x^{2} + 5 \, x + 2}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(7/2)/sqrt(3*x^2 + 5*x + 2), x)","F",0
1057,0,0,0,0.000000," ","integrate((2-5*x)*x^(5/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{5}{2}}}{\sqrt{3 \, x^{2} + 5 \, x + 2}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(5/2)/sqrt(3*x^2 + 5*x + 2), x)","F",0
1058,0,0,0,0.000000," ","integrate((2-5*x)*x^(3/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{3}{2}}}{\sqrt{3 \, x^{2} + 5 \, x + 2}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(3/2)/sqrt(3*x^2 + 5*x + 2), x)","F",0
1059,0,0,0,0.000000," ","integrate((2-5*x)*x^(1/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} \sqrt{x}}{\sqrt{3 \, x^{2} + 5 \, x + 2}}\,{d x}"," ",0,"-integrate((5*x - 2)*sqrt(x)/sqrt(3*x^2 + 5*x + 2), x)","F",0
1060,0,0,0,0.000000," ","integrate((2-5*x)/x^(1/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{\sqrt{3 \, x^{2} + 5 \, x + 2} \sqrt{x}}\,{d x}"," ",0,"-integrate((5*x - 2)/(sqrt(3*x^2 + 5*x + 2)*sqrt(x)), x)","F",0
1061,0,0,0,0.000000," ","integrate((2-5*x)/x^(3/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{\sqrt{3 \, x^{2} + 5 \, x + 2} x^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)/(sqrt(3*x^2 + 5*x + 2)*x^(3/2)), x)","F",0
1062,0,0,0,0.000000," ","integrate((2-5*x)/x^(5/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{\sqrt{3 \, x^{2} + 5 \, x + 2} x^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)/(sqrt(3*x^2 + 5*x + 2)*x^(5/2)), x)","F",0
1063,0,0,0,0.000000," ","integrate((2-5*x)/x^(7/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{\sqrt{3 \, x^{2} + 5 \, x + 2} x^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)/(sqrt(3*x^2 + 5*x + 2)*x^(7/2)), x)","F",0
1064,0,0,0,0.000000," ","integrate((2-5*x)*x^(7/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{7}{2}}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(7/2)/(3*x^2 + 5*x + 2)^(3/2), x)","F",0
1065,0,0,0,0.000000," ","integrate((2-5*x)*x^(5/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{5}{2}}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(5/2)/(3*x^2 + 5*x + 2)^(3/2), x)","F",0
1066,0,0,0,0.000000," ","integrate((2-5*x)*x^(3/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{3}{2}}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(3/2)/(3*x^2 + 5*x + 2)^(3/2), x)","F",0
1067,0,0,0,0.000000," ","integrate((2-5*x)*x^(1/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} \sqrt{x}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*sqrt(x)/(3*x^2 + 5*x + 2)^(3/2), x)","F",0
1068,0,0,0,0.000000," ","integrate((2-5*x)/(3*x^2+5*x+2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} \sqrt{x}}\,{d x}"," ",0,"-integrate((5*x - 2)/((3*x^2 + 5*x + 2)^(3/2)*sqrt(x)), x)","F",0
1069,0,0,0,0.000000," ","integrate((2-5*x)/x^(3/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)/((3*x^2 + 5*x + 2)^(3/2)*x^(3/2)), x)","F",0
1070,0,0,0,0.000000," ","integrate((2-5*x)/x^(5/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)/((3*x^2 + 5*x + 2)^(3/2)*x^(5/2)), x)","F",0
1071,0,0,0,0.000000," ","integrate((2-5*x)/x^(7/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)/((3*x^2 + 5*x + 2)^(3/2)*x^(7/2)), x)","F",0
1072,0,0,0,0.000000," ","integrate((2-5*x)*x^(13/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{13}{2}}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(13/2)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
1073,0,0,0,0.000000," ","integrate((2-5*x)*x^(11/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{11}{2}}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(11/2)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
1074,0,0,0,0.000000," ","integrate((2-5*x)*x^(9/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{9}{2}}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(9/2)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
1075,0,0,0,0.000000," ","integrate((2-5*x)*x^(7/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{7}{2}}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(7/2)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
1076,0,0,0,0.000000," ","integrate((2-5*x)*x^(5/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{5}{2}}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(5/2)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
1077,0,0,0,0.000000," ","integrate((2-5*x)*x^(3/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} x^{\frac{3}{2}}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*x^(3/2)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
1078,0,0,0,0.000000," ","integrate((2-5*x)*x^(1/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(5 \, x - 2\right)} \sqrt{x}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)*sqrt(x)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
1079,0,0,0,0.000000," ","integrate((2-5*x)/(3*x^2+5*x+2)^(5/2)/x^(1/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} \sqrt{x}}\,{d x}"," ",0,"-integrate((5*x - 2)/((3*x^2 + 5*x + 2)^(5/2)*sqrt(x)), x)","F",0
1080,0,0,0,0.000000," ","integrate((2-5*x)/x^(3/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)/((3*x^2 + 5*x + 2)^(5/2)*x^(3/2)), x)","F",0
1081,0,0,0,0.000000," ","integrate((2-5*x)/x^(5/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)/((3*x^2 + 5*x + 2)^(5/2)*x^(5/2)), x)","F",0
1082,0,0,0,0.000000," ","integrate((2-5*x)/x^(7/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{5 \, x - 2}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate((5*x - 2)/((3*x^2 + 5*x + 2)^(5/2)*x^(7/2)), x)","F",0
1083,1,408,0,1.009138," ","integrate((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{B c^{3} e^{m} x^{8} x^{m}}{m + 8} + \frac{3 \, B b c^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{A c^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B b^{2} c e^{m} x^{6} x^{m}}{m + 6} + \frac{3 \, B a c^{2} e^{m} x^{6} x^{m}}{m + 6} + \frac{3 \, A b c^{2} e^{m} x^{6} x^{m}}{m + 6} + \frac{B b^{3} e^{m} x^{5} x^{m}}{m + 5} + \frac{6 \, B a b c e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A b^{2} c e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A a c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, B a b^{2} e^{m} x^{4} x^{m}}{m + 4} + \frac{A b^{3} e^{m} x^{4} x^{m}}{m + 4} + \frac{3 \, B a^{2} c e^{m} x^{4} x^{m}}{m + 4} + \frac{6 \, A a b c e^{m} x^{4} x^{m}}{m + 4} + \frac{3 \, B a^{2} b e^{m} x^{3} x^{m}}{m + 3} + \frac{3 \, A a b^{2} e^{m} x^{3} x^{m}}{m + 3} + \frac{3 \, A a^{2} c e^{m} x^{3} x^{m}}{m + 3} + \frac{B a^{3} e^{m} x^{2} x^{m}}{m + 2} + \frac{3 \, A a^{2} b e^{m} x^{2} x^{m}}{m + 2} + \frac{\left(e x\right)^{m + 1} A a^{3}}{e {\left(m + 1\right)}}"," ",0,"B*c^3*e^m*x^8*x^m/(m + 8) + 3*B*b*c^2*e^m*x^7*x^m/(m + 7) + A*c^3*e^m*x^7*x^m/(m + 7) + 3*B*b^2*c*e^m*x^6*x^m/(m + 6) + 3*B*a*c^2*e^m*x^6*x^m/(m + 6) + 3*A*b*c^2*e^m*x^6*x^m/(m + 6) + B*b^3*e^m*x^5*x^m/(m + 5) + 6*B*a*b*c*e^m*x^5*x^m/(m + 5) + 3*A*b^2*c*e^m*x^5*x^m/(m + 5) + 3*A*a*c^2*e^m*x^5*x^m/(m + 5) + 3*B*a*b^2*e^m*x^4*x^m/(m + 4) + A*b^3*e^m*x^4*x^m/(m + 4) + 3*B*a^2*c*e^m*x^4*x^m/(m + 4) + 6*A*a*b*c*e^m*x^4*x^m/(m + 4) + 3*B*a^2*b*e^m*x^3*x^m/(m + 3) + 3*A*a*b^2*e^m*x^3*x^m/(m + 3) + 3*A*a^2*c*e^m*x^3*x^m/(m + 3) + B*a^3*e^m*x^2*x^m/(m + 2) + 3*A*a^2*b*e^m*x^2*x^m/(m + 2) + (e*x)^(m + 1)*A*a^3/(e*(m + 1))","A",0
1084,1,230,0,0.786976," ","integrate((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{B c^{2} e^{m} x^{6} x^{m}}{m + 6} + \frac{2 \, B b c e^{m} x^{5} x^{m}}{m + 5} + \frac{A c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{B b^{2} e^{m} x^{4} x^{m}}{m + 4} + \frac{2 \, B a c e^{m} x^{4} x^{m}}{m + 4} + \frac{2 \, A b c e^{m} x^{4} x^{m}}{m + 4} + \frac{2 \, B a b e^{m} x^{3} x^{m}}{m + 3} + \frac{A b^{2} e^{m} x^{3} x^{m}}{m + 3} + \frac{2 \, A a c e^{m} x^{3} x^{m}}{m + 3} + \frac{B a^{2} e^{m} x^{2} x^{m}}{m + 2} + \frac{2 \, A a b e^{m} x^{2} x^{m}}{m + 2} + \frac{\left(e x\right)^{m + 1} A a^{2}}{e {\left(m + 1\right)}}"," ",0,"B*c^2*e^m*x^6*x^m/(m + 6) + 2*B*b*c*e^m*x^5*x^m/(m + 5) + A*c^2*e^m*x^5*x^m/(m + 5) + B*b^2*e^m*x^4*x^m/(m + 4) + 2*B*a*c*e^m*x^4*x^m/(m + 4) + 2*A*b*c*e^m*x^4*x^m/(m + 4) + 2*B*a*b*e^m*x^3*x^m/(m + 3) + A*b^2*e^m*x^3*x^m/(m + 3) + 2*A*a*c*e^m*x^3*x^m/(m + 3) + B*a^2*e^m*x^2*x^m/(m + 2) + 2*A*a*b*e^m*x^2*x^m/(m + 2) + (e*x)^(m + 1)*A*a^2/(e*(m + 1))","A",0
1085,1,104,0,0.688261," ","integrate((e*x)^m*(B*x+A)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{B c e^{m} x^{4} x^{m}}{m + 4} + \frac{B b e^{m} x^{3} x^{m}}{m + 3} + \frac{A c e^{m} x^{3} x^{m}}{m + 3} + \frac{B a e^{m} x^{2} x^{m}}{m + 2} + \frac{A b e^{m} x^{2} x^{m}}{m + 2} + \frac{\left(e x\right)^{m + 1} A a}{e {\left(m + 1\right)}}"," ",0,"B*c*e^m*x^4*x^m/(m + 4) + B*b*e^m*x^3*x^m/(m + 3) + A*c*e^m*x^3*x^m/(m + 3) + B*a*e^m*x^2*x^m/(m + 2) + A*b*e^m*x^2*x^m/(m + 2) + (e*x)^(m + 1)*A*a/(e*(m + 1))","A",0
1086,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/(c*x^2 + b*x + a), x)","F",0
1087,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/(c*x^2 + b*x + a)^2, x)","F",0
1088,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} {\left(B x + A\right)} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)*(B*x + A)*(e*x)^m, x)","F",0
1089,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(B x + A\right)} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*(B*x + A)*(e*x)^m, x)","F",0
1090,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(B x + A\right)} \left(e x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(B*x + A)*(e*x)^m, x)","F",0
1091,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/sqrt(c*x^2 + b*x + a), x)","F",0
1092,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/(c*x^2 + b*x + a)^(3/2), x)","F",0
1093,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \left(e x\right)^{m}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x)^m/(c*x^2 + b*x + a)^(5/2), x)","F",0
1094,0,0,0,0.000000," ","integrate((e*x)^m*(B*x+A)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(c x^{2} + b x + a\right)}^{p} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + b*x + a)^p*(e*x)^m, x)","F",0
1095,0,0,0,0.000000," ","integrate(x^3*(B*x+A)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(c x^{2} + b x + a\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + b*x + a)^p*x^3, x)","F",0
1096,0,0,0,0.000000," ","integrate(x^2*(B*x+A)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(c x^{2} + b x + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + b*x + a)^p*x^2, x)","F",0
1097,0,0,0,0.000000," ","integrate(x*(B*x+A)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(c x^{2} + b x + a\right)}^{p} x\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + b*x + a)^p*x, x)","F",0
1098,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + b*x + a)^p, x)","F",0
1099,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(c x^{2} + b x + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + b*x + a)^p/x, x)","F",0
1100,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(c x^{2} + b x + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + b*x + a)^p/x^2, x)","F",0
1101,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x+a)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(c x^{2} + b x + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + b*x + a)^p/x^3, x)","F",0
1102,1,288,0,0.763354," ","integrate((B*x+A)*(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} A 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} B b}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \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 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 c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}}"," ",0,"(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) + ((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*b/((m^3 + 6*m^2 + 11*m + 6)*e^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/((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*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4)","B",0
1103,1,178,0,0.475867," ","integrate((B*x+A)*(e*x+d)^4*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{8} \, B c e^{4} x^{8} + \frac{1}{2} \, A b d^{4} x^{2} + \frac{1}{7} \, {\left(4 \, B c d e^{3} + {\left(B b + A c\right)} e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(6 \, B c d^{2} e^{2} + A b e^{4} + 4 \, {\left(B b + A c\right)} d e^{3}\right)} x^{6} + \frac{2}{5} \, {\left(2 \, B c d^{3} e + 2 \, A b d e^{3} + 3 \, {\left(B b + A c\right)} d^{2} e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B c d^{4} + 6 \, A b d^{2} e^{2} + 4 \, {\left(B b + A c\right)} d^{3} e\right)} x^{4} + \frac{1}{3} \, {\left(4 \, A b d^{3} e + {\left(B b + A c\right)} d^{4}\right)} x^{3}"," ",0,"1/8*B*c*e^4*x^8 + 1/2*A*b*d^4*x^2 + 1/7*(4*B*c*d*e^3 + (B*b + A*c)*e^4)*x^7 + 1/6*(6*B*c*d^2*e^2 + A*b*e^4 + 4*(B*b + A*c)*d*e^3)*x^6 + 2/5*(2*B*c*d^3*e + 2*A*b*d*e^3 + 3*(B*b + A*c)*d^2*e^2)*x^5 + 1/4*(B*c*d^4 + 6*A*b*d^2*e^2 + 4*(B*b + A*c)*d^3*e)*x^4 + 1/3*(4*A*b*d^3*e + (B*b + A*c)*d^4)*x^3","A",0
1104,1,137,0,0.609252," ","integrate((B*x+A)*(e*x+d)^3*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{7} \, B c e^{3} x^{7} + \frac{1}{2} \, A b d^{3} x^{2} + \frac{1}{6} \, {\left(3 \, B c d e^{2} + {\left(B b + A c\right)} e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, B c d^{2} e + A b e^{3} + 3 \, {\left(B b + A c\right)} d e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B c d^{3} + 3 \, A b d e^{2} + 3 \, {\left(B b + A c\right)} d^{2} e\right)} x^{4} + \frac{1}{3} \, {\left(3 \, A b d^{2} e + {\left(B b + A c\right)} d^{3}\right)} x^{3}"," ",0,"1/7*B*c*e^3*x^7 + 1/2*A*b*d^3*x^2 + 1/6*(3*B*c*d*e^2 + (B*b + A*c)*e^3)*x^6 + 1/5*(3*B*c*d^2*e + A*b*e^3 + 3*(B*b + A*c)*d*e^2)*x^5 + 1/4*(B*c*d^3 + 3*A*b*d*e^2 + 3*(B*b + A*c)*d^2*e)*x^4 + 1/3*(3*A*b*d^2*e + (B*b + A*c)*d^3)*x^3","A",0
1105,1,96,0,0.523072," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{6} \, B c e^{2} x^{6} + \frac{1}{2} \, A b d^{2} x^{2} + \frac{1}{5} \, {\left(2 \, B c d e + {\left(B b + A c\right)} e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B c d^{2} + A b e^{2} + 2 \, {\left(B b + A c\right)} d e\right)} x^{4} + \frac{1}{3} \, {\left(2 \, A b d e + {\left(B b + A c\right)} d^{2}\right)} x^{3}"," ",0,"1/6*B*c*e^2*x^6 + 1/2*A*b*d^2*x^2 + 1/5*(2*B*c*d*e + (B*b + A*c)*e^2)*x^5 + 1/4*(B*c*d^2 + A*b*e^2 + 2*(B*b + A*c)*d*e)*x^4 + 1/3*(2*A*b*d*e + (B*b + A*c)*d^2)*x^3","A",0
1106,1,55,0,0.555367," ","integrate((B*x+A)*(e*x+d)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{5} \, B c e x^{5} + \frac{1}{2} \, A b d x^{2} + \frac{1}{4} \, {\left(B c d + {\left(B b + A c\right)} e\right)} x^{4} + \frac{1}{3} \, {\left(A b e + {\left(B b + A c\right)} d\right)} x^{3}"," ",0,"1/5*B*c*e*x^5 + 1/2*A*b*d*x^2 + 1/4*(B*c*d + (B*b + A*c)*e)*x^4 + 1/3*(A*b*e + (B*b + A*c)*d)*x^3","A",0
1107,1,27,0,0.575634," ","integrate((B*x+A)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{1}{4} \, B c x^{4} + \frac{1}{2} \, A b x^{2} + \frac{1}{3} \, {\left(B b + A c\right)} x^{3}"," ",0,"1/4*B*c*x^4 + 1/2*A*b*x^2 + 1/3*(B*b + A*c)*x^3","A",0
1108,1,105,0,0.541823," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d),x, algorithm=""maxima"")","\frac{2 \, B c e^{2} x^{3} - 3 \, {\left(B c d e - {\left(B b + A c\right)} e^{2}\right)} x^{2} + 6 \, {\left(B c d^{2} + A b e^{2} - {\left(B b + A c\right)} d e\right)} x}{6 \, e^{3}} - \frac{{\left(B c d^{3} + A b d e^{2} - {\left(B b + A c\right)} d^{2} e\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(2*B*c*e^2*x^3 - 3*(B*c*d*e - (B*b + A*c)*e^2)*x^2 + 6*(B*c*d^2 + A*b*e^2 - (B*b + A*c)*d*e)*x)/e^3 - (B*c*d^3 + A*b*d*e^2 - (B*b + A*c)*d^2*e)*log(e*x + d)/e^4","A",0
1109,1,109,0,0.608416," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B c d^{3} + A b d e^{2} - {\left(B b + A c\right)} d^{2} e}{e^{5} x + d e^{4}} + \frac{B c e x^{2} - 2 \, {\left(2 \, B c d - {\left(B b + A c\right)} e\right)} x}{2 \, e^{3}} + \frac{{\left(3 \, B c d^{2} + A b e^{2} - 2 \, {\left(B b + A c\right)} d e\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"(B*c*d^3 + A*b*d*e^2 - (B*b + A*c)*d^2*e)/(e^5*x + d*e^4) + 1/2*(B*c*e*x^2 - 2*(2*B*c*d - (B*b + A*c)*e)*x)/e^3 + (3*B*c*d^2 + A*b*e^2 - 2*(B*b + A*c)*d*e)*log(e*x + d)/e^4","A",0
1110,1,120,0,0.488069," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{5 \, B c d^{3} + A b d e^{2} - 3 \, {\left(B b + A c\right)} d^{2} e + 2 \, {\left(3 \, B c d^{2} e + A b e^{3} - 2 \, {\left(B b + A c\right)} d e^{2}\right)} x}{2 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} + \frac{B c x}{e^{3}} - \frac{{\left(3 \, B c d - {\left(B b + A c\right)} e\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"-1/2*(5*B*c*d^3 + A*b*d*e^2 - 3*(B*b + A*c)*d^2*e + 2*(3*B*c*d^2*e + A*b*e^3 - 2*(B*b + A*c)*d*e^2)*x)/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) + B*c*x/e^3 - (3*B*c*d - (B*b + A*c)*e)*log(e*x + d)/e^4","A",0
1111,1,137,0,0.550390," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{11 \, B c d^{3} - A b d e^{2} - 2 \, {\left(B b + A c\right)} d^{2} e + 6 \, {\left(3 \, B c d e^{2} - {\left(B b + A c\right)} e^{3}\right)} x^{2} + 3 \, {\left(9 \, B c d^{2} e - A b e^{3} - 2 \, {\left(B b + A c\right)} d e^{2}\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)}} + \frac{B c \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(11*B*c*d^3 - A*b*d*e^2 - 2*(B*b + A*c)*d^2*e + 6*(3*B*c*d*e^2 - (B*b + A*c)*e^3)*x^2 + 3*(9*B*c*d^2*e - A*b*e^3 - 2*(B*b + A*c)*d*e^2)*x)/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) + B*c*log(e*x + d)/e^4","A",0
1112,1,140,0,0.588716," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{12 \, B c e^{3} x^{3} + 3 \, B c d^{3} + A b d e^{2} + {\left(B b + A c\right)} d^{2} e + 6 \, {\left(3 \, B c d e^{2} + {\left(B b + A c\right)} e^{3}\right)} x^{2} + 4 \, {\left(3 \, B c d^{2} e + A b e^{3} + {\left(B b + A c\right)} d e^{2}\right)} x}{12 \, {\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,"-1/12*(12*B*c*e^3*x^3 + 3*B*c*d^3 + A*b*d*e^2 + (B*b + A*c)*d^2*e + 6*(3*B*c*d*e^2 + (B*b + A*c)*e^3)*x^2 + 4*(3*B*c*d^2*e + A*b*e^3 + (B*b + A*c)*d*e^2)*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)","A",0
1113,1,156,0,0.624866," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{30 \, B c e^{3} x^{3} + 3 \, B c d^{3} + 3 \, A b d e^{2} + 2 \, {\left(B b + A c\right)} d^{2} e + 10 \, {\left(3 \, B c d e^{2} + 2 \, {\left(B b + A c\right)} e^{3}\right)} x^{2} + 5 \, {\left(3 \, B c d^{2} e + 3 \, A b e^{3} + 2 \, {\left(B b + A c\right)} d e^{2}\right)} x}{60 \, {\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,"-1/60*(30*B*c*e^3*x^3 + 3*B*c*d^3 + 3*A*b*d*e^2 + 2*(B*b + A*c)*d^2*e + 10*(3*B*c*d*e^2 + 2*(B*b + A*c)*e^3)*x^2 + 5*(3*B*c*d^2*e + 3*A*b*e^3 + 2*(B*b + A*c)*d*e^2)*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)","A",0
1114,1,755,0,0.757180," ","integrate((B*x+A)*(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} A b^{2}}{{\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 b^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \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 b c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{2 \, {\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 b c}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \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} 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^{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}}"," ",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*A*b^2/((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*b^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 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*b*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 2*((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*b*c/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + ((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^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)","B",0
1115,1,239,0,0.579530," ","integrate((B*x+A)*(e*x+d)^3*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{2} e^{3} x^{9} + \frac{1}{3} \, A b^{2} d^{3} x^{3} + \frac{1}{8} \, {\left(3 \, B c^{2} d e^{2} + {\left(2 \, B b c + A c^{2}\right)} e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(3 \, B c^{2} d^{2} e + 3 \, {\left(2 \, B b c + A c^{2}\right)} d e^{2} + {\left(B b^{2} + 2 \, A b c\right)} e^{3}\right)} x^{7} + \frac{1}{6} \, {\left(B c^{2} d^{3} + A b^{2} e^{3} + 3 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, A b^{2} d e^{2} + {\left(2 \, B b c + A c^{2}\right)} d^{3} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e\right)} x^{5} + \frac{1}{4} \, {\left(3 \, A b^{2} d^{2} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3}\right)} x^{4}"," ",0,"1/9*B*c^2*e^3*x^9 + 1/3*A*b^2*d^3*x^3 + 1/8*(3*B*c^2*d*e^2 + (2*B*b*c + A*c^2)*e^3)*x^8 + 1/7*(3*B*c^2*d^2*e + 3*(2*B*b*c + A*c^2)*d*e^2 + (B*b^2 + 2*A*b*c)*e^3)*x^7 + 1/6*(B*c^2*d^3 + A*b^2*e^3 + 3*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*x^6 + 1/5*(3*A*b^2*d*e^2 + (2*B*b*c + A*c^2)*d^3 + 3*(B*b^2 + 2*A*b*c)*d^2*e)*x^5 + 1/4*(3*A*b^2*d^2*e + (B*b^2 + 2*A*b*c)*d^3)*x^4","A",0
1116,1,171,0,0.641854," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{2} e^{2} x^{8} + \frac{1}{3} \, A b^{2} d^{2} x^{3} + \frac{1}{7} \, {\left(2 \, B c^{2} d e + {\left(2 \, B b c + A c^{2}\right)} e^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B c^{2} d^{2} + 2 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} x^{6} + \frac{1}{5} \, {\left(A b^{2} e^{2} + {\left(2 \, B b c + A c^{2}\right)} d^{2} + 2 \, {\left(B b^{2} + 2 \, A b c\right)} d e\right)} x^{5} + \frac{1}{4} \, {\left(2 \, A b^{2} d e + {\left(B b^{2} + 2 \, A b c\right)} d^{2}\right)} x^{4}"," ",0,"1/8*B*c^2*e^2*x^8 + 1/3*A*b^2*d^2*x^3 + 1/7*(2*B*c^2*d*e + (2*B*b*c + A*c^2)*e^2)*x^7 + 1/6*(B*c^2*d^2 + 2*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*x^6 + 1/5*(A*b^2*e^2 + (2*B*b*c + A*c^2)*d^2 + 2*(B*b^2 + 2*A*b*c)*d*e)*x^5 + 1/4*(2*A*b^2*d*e + (B*b^2 + 2*A*b*c)*d^2)*x^4","A",0
1117,1,103,0,0.488914," ","integrate((B*x+A)*(e*x+d)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{2} e x^{7} + \frac{1}{3} \, A b^{2} d x^{3} + \frac{1}{6} \, {\left(B c^{2} d + {\left(2 \, B b c + A c^{2}\right)} e\right)} x^{6} + \frac{1}{5} \, {\left({\left(2 \, B b c + A c^{2}\right)} d + {\left(B b^{2} + 2 \, A b c\right)} e\right)} x^{5} + \frac{1}{4} \, {\left(A b^{2} e + {\left(B b^{2} + 2 \, A b c\right)} d\right)} x^{4}"," ",0,"1/7*B*c^2*e*x^7 + 1/3*A*b^2*d*x^3 + 1/6*(B*c^2*d + (2*B*b*c + A*c^2)*e)*x^6 + 1/5*((2*B*b*c + A*c^2)*d + (B*b^2 + 2*A*b*c)*e)*x^5 + 1/4*(A*b^2*e + (B*b^2 + 2*A*b*c)*d)*x^4","A",0
1118,1,51,0,0.473026," ","integrate((B*x+A)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{2} x^{6} + \frac{1}{3} \, A b^{2} x^{3} + \frac{1}{5} \, {\left(2 \, B b c + A c^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{2} + 2 \, A b c\right)} x^{4}"," ",0,"1/6*B*c^2*x^6 + 1/3*A*b^2*x^3 + 1/5*(2*B*b*c + A*c^2)*x^5 + 1/4*(B*b^2 + 2*A*b*c)*x^4","A",0
1119,1,282,0,0.535726," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d),x, algorithm=""maxima"")","\frac{12 \, B c^{2} e^{4} x^{5} - 15 \, {\left(B c^{2} d e^{3} - {\left(2 \, B b c + A c^{2}\right)} e^{4}\right)} x^{4} + 20 \, {\left(B c^{2} d^{2} e^{2} - {\left(2 \, B b c + A c^{2}\right)} d e^{3} + {\left(B b^{2} + 2 \, A b c\right)} e^{4}\right)} x^{3} - 30 \, {\left(B c^{2} d^{3} e - A b^{2} e^{4} - {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{2} + {\left(B b^{2} + 2 \, A b c\right)} d e^{3}\right)} x^{2} + 60 \, {\left(B c^{2} d^{4} - A b^{2} d e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{3} e + {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} x}{60 \, e^{5}} - \frac{{\left(B c^{2} d^{5} - A b^{2} d^{2} e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/60*(12*B*c^2*e^4*x^5 - 15*(B*c^2*d*e^3 - (2*B*b*c + A*c^2)*e^4)*x^4 + 20*(B*c^2*d^2*e^2 - (2*B*b*c + A*c^2)*d*e^3 + (B*b^2 + 2*A*b*c)*e^4)*x^3 - 30*(B*c^2*d^3*e - A*b^2*e^4 - (2*B*b*c + A*c^2)*d^2*e^2 + (B*b^2 + 2*A*b*c)*d*e^3)*x^2 + 60*(B*c^2*d^4 - A*b^2*d*e^3 - (2*B*b*c + A*c^2)*d^3*e + (B*b^2 + 2*A*b*c)*d^2*e^2)*x)/e^5 - (B*c^2*d^5 - A*b^2*d^2*e^3 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2)*log(e*x + d)/e^6","A",0
1120,1,291,0,0.527356," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B c^{2} d^{5} - A b^{2} d^{2} e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2}}{e^{7} x + d e^{6}} + \frac{3 \, B c^{2} e^{3} x^{4} - 4 \, {\left(2 \, B c^{2} d e^{2} - {\left(2 \, B b c + A c^{2}\right)} e^{3}\right)} x^{3} + 6 \, {\left(3 \, B c^{2} d^{2} e - 2 \, {\left(2 \, B b c + A c^{2}\right)} d e^{2} + {\left(B b^{2} + 2 \, A b c\right)} e^{3}\right)} x^{2} - 12 \, {\left(4 \, B c^{2} d^{3} - A b^{2} e^{3} - 3 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 2 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} x}{12 \, e^{5}} + \frac{{\left(5 \, B c^{2} d^{4} - 2 \, A b^{2} d e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"(B*c^2*d^5 - A*b^2*d^2*e^3 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2)/(e^7*x + d*e^6) + 1/12*(3*B*c^2*e^3*x^4 - 4*(2*B*c^2*d*e^2 - (2*B*b*c + A*c^2)*e^3)*x^3 + 6*(3*B*c^2*d^2*e - 2*(2*B*b*c + A*c^2)*d*e^2 + (B*b^2 + 2*A*b*c)*e^3)*x^2 - 12*(4*B*c^2*d^3 - A*b^2*e^3 - 3*(2*B*b*c + A*c^2)*d^2*e + 2*(B*b^2 + 2*A*b*c)*d*e^2)*x)/e^5 + (5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*A*b*c)*d^2*e^2)*log(e*x + d)/e^6","A",0
1121,1,302,0,0.622488," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{9 \, B c^{2} d^{5} - 3 \, A b^{2} d^{2} e^{3} - 7 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 5 \, {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2} + 2 \, {\left(5 \, B c^{2} d^{4} e - 2 \, A b^{2} d e^{4} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{3}\right)} x}{2 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)}} + \frac{2 \, B c^{2} e^{2} x^{3} - 3 \, {\left(3 \, B c^{2} d e - {\left(2 \, B b c + A c^{2}\right)} e^{2}\right)} x^{2} + 6 \, {\left(6 \, B c^{2} d^{2} - 3 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} x}{6 \, e^{5}} - \frac{{\left(10 \, B c^{2} d^{3} - A b^{2} e^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"-1/2*(9*B*c^2*d^5 - 3*A*b^2*d^2*e^3 - 7*(2*B*b*c + A*c^2)*d^4*e + 5*(B*b^2 + 2*A*b*c)*d^3*e^2 + 2*(5*B*c^2*d^4*e - 2*A*b^2*d*e^4 - 4*(2*B*b*c + A*c^2)*d^3*e^2 + 3*(B*b^2 + 2*A*b*c)*d^2*e^3)*x)/(e^8*x^2 + 2*d*e^7*x + d^2*e^6) + 1/6*(2*B*c^2*e^2*x^3 - 3*(3*B*c^2*d*e - (2*B*b*c + A*c^2)*e^2)*x^2 + 6*(6*B*c^2*d^2 - 3*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*x)/e^5 - (10*B*c^2*d^3 - A*b^2*e^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*log(e*x + d)/e^6","A",0
1122,1,311,0,0.540925," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{47 \, B c^{2} d^{5} - 2 \, A b^{2} d^{2} e^{3} - 26 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 11 \, {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2} + 6 \, {\left(10 \, B c^{2} d^{3} e^{2} - A b^{2} e^{5} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{4}\right)} x^{2} + 3 \, {\left(35 \, B c^{2} d^{4} e - 2 \, A b^{2} d e^{4} - 20 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 9 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{3}\right)} x}{6 \, {\left(e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}\right)}} + \frac{B c^{2} e x^{2} - 2 \, {\left(4 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} x}{2 \, e^{5}} + \frac{{\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/6*(47*B*c^2*d^5 - 2*A*b^2*d^2*e^3 - 26*(2*B*b*c + A*c^2)*d^4*e + 11*(B*b^2 + 2*A*b*c)*d^3*e^2 + 6*(10*B*c^2*d^3*e^2 - A*b^2*e^5 - 6*(2*B*b*c + A*c^2)*d^2*e^3 + 3*(B*b^2 + 2*A*b*c)*d*e^4)*x^2 + 3*(35*B*c^2*d^4*e - 2*A*b^2*d*e^4 - 20*(2*B*b*c + A*c^2)*d^3*e^2 + 9*(B*b^2 + 2*A*b*c)*d^2*e^3)*x)/(e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6) + 1/2*(B*c^2*e*x^2 - 2*(4*B*c^2*d - (2*B*b*c + A*c^2)*e)*x)/e^5 + (10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*log(e*x + d)/e^6","A",0
1123,1,321,0,0.579584," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{77 \, B c^{2} d^{5} + A b^{2} d^{2} e^{3} - 25 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2} + 12 \, {\left(10 \, B c^{2} d^{2} e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} + {\left(B b^{2} + 2 \, A b c\right)} e^{5}\right)} x^{3} + 6 \, {\left(50 \, B c^{2} d^{3} e^{2} + A b^{2} e^{5} - 18 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{4}\right)} x^{2} + 4 \, {\left(65 \, B c^{2} d^{4} e + A b^{2} d e^{4} - 22 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{3}\right)} x}{12 \, {\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)}} + \frac{B c^{2} x}{e^{5}} - \frac{{\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"-1/12*(77*B*c^2*d^5 + A*b^2*d^2*e^3 - 25*(2*B*b*c + A*c^2)*d^4*e + 3*(B*b^2 + 2*A*b*c)*d^3*e^2 + 12*(10*B*c^2*d^2*e^3 - 4*(2*B*b*c + A*c^2)*d*e^4 + (B*b^2 + 2*A*b*c)*e^5)*x^3 + 6*(50*B*c^2*d^3*e^2 + A*b^2*e^5 - 18*(2*B*b*c + A*c^2)*d^2*e^3 + 3*(B*b^2 + 2*A*b*c)*d*e^4)*x^2 + 4*(65*B*c^2*d^4*e + A*b^2*d*e^4 - 22*(2*B*b*c + A*c^2)*d^3*e^2 + 3*(B*b^2 + 2*A*b*c)*d^2*e^3)*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) + B*c^2*x/e^5 - (5*B*c^2*d - (2*B*b*c + A*c^2)*e)*log(e*x + d)/e^6","A",0
1124,1,340,0,0.672159," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^6,x, algorithm=""maxima"")","\frac{137 \, B c^{2} d^{5} - 2 \, A b^{2} d^{2} e^{3} - 12 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e - 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2} + 60 \, {\left(5 \, B c^{2} d e^{4} - {\left(2 \, B b c + A c^{2}\right)} e^{5}\right)} x^{4} + 30 \, {\left(30 \, B c^{2} d^{2} e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} - {\left(B b^{2} + 2 \, A b c\right)} e^{5}\right)} x^{3} + 10 \, {\left(110 \, B c^{2} d^{3} e^{2} - 2 \, A b^{2} e^{5} - 12 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} - 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{4}\right)} x^{2} + 5 \, {\left(125 \, B c^{2} d^{4} e - 2 \, A b^{2} d e^{4} - 12 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} - 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{3}\right)} x}{60 \, {\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)}} + \frac{B c^{2} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/60*(137*B*c^2*d^5 - 2*A*b^2*d^2*e^3 - 12*(2*B*b*c + A*c^2)*d^4*e - 3*(B*b^2 + 2*A*b*c)*d^3*e^2 + 60*(5*B*c^2*d*e^4 - (2*B*b*c + A*c^2)*e^5)*x^4 + 30*(30*B*c^2*d^2*e^3 - 4*(2*B*b*c + A*c^2)*d*e^4 - (B*b^2 + 2*A*b*c)*e^5)*x^3 + 10*(110*B*c^2*d^3*e^2 - 2*A*b^2*e^5 - 12*(2*B*b*c + A*c^2)*d^2*e^3 - 3*(B*b^2 + 2*A*b*c)*d*e^4)*x^2 + 5*(125*B*c^2*d^4*e - 2*A*b^2*d*e^4 - 12*(2*B*b*c + A*c^2)*d^3*e^2 - 3*(B*b^2 + 2*A*b*c)*d^2*e^3)*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) + B*c^2*log(e*x + d)/e^6","A",0
1125,1,340,0,0.642865," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{60 \, B c^{2} e^{5} x^{5} + 10 \, B c^{2} d^{5} + A b^{2} d^{2} e^{3} + 2 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2} + 30 \, {\left(5 \, B c^{2} d e^{4} + {\left(2 \, B b c + A c^{2}\right)} e^{5}\right)} x^{4} + 20 \, {\left(10 \, B c^{2} d^{2} e^{3} + 2 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} + {\left(B b^{2} + 2 \, A b c\right)} e^{5}\right)} x^{3} + 15 \, {\left(10 \, B c^{2} d^{3} e^{2} + A b^{2} e^{5} + 2 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + {\left(B b^{2} + 2 \, A b c\right)} d e^{4}\right)} x^{2} + 6 \, {\left(10 \, B c^{2} d^{4} e + A b^{2} d e^{4} + 2 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{3}\right)} x}{60 \, {\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)}}"," ",0,"-1/60*(60*B*c^2*e^5*x^5 + 10*B*c^2*d^5 + A*b^2*d^2*e^3 + 2*(2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2 + 30*(5*B*c^2*d*e^4 + (2*B*b*c + A*c^2)*e^5)*x^4 + 20*(10*B*c^2*d^2*e^3 + 2*(2*B*b*c + A*c^2)*d*e^4 + (B*b^2 + 2*A*b*c)*e^5)*x^3 + 15*(10*B*c^2*d^3*e^2 + A*b^2*e^5 + 2*(2*B*b*c + A*c^2)*d^2*e^3 + (B*b^2 + 2*A*b*c)*d*e^4)*x^2 + 6*(10*B*c^2*d^4*e + A*b^2*d*e^4 + 2*(2*B*b*c + A*c^2)*d^3*e^2 + (B*b^2 + 2*A*b*c)*d^2*e^3)*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)","A",0
1126,1,359,0,0.704668," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{210 \, B c^{2} e^{5} x^{5} + 10 \, B c^{2} d^{5} + 4 \, A b^{2} d^{2} e^{3} + 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2} + 70 \, {\left(5 \, B c^{2} d e^{4} + 2 \, {\left(2 \, B b c + A c^{2}\right)} e^{5}\right)} x^{4} + 35 \, {\left(10 \, B c^{2} d^{2} e^{3} + 4 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} e^{5}\right)} x^{3} + 21 \, {\left(10 \, B c^{2} d^{3} e^{2} + 4 \, A b^{2} e^{5} + 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{4}\right)} x^{2} + 7 \, {\left(10 \, B c^{2} d^{4} e + 4 \, A b^{2} d e^{4} + 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{3}\right)} x}{420 \, {\left(e^{13} x^{7} + 7 \, d e^{12} x^{6} + 21 \, d^{2} e^{11} x^{5} + 35 \, d^{3} e^{10} x^{4} + 35 \, d^{4} e^{9} x^{3} + 21 \, d^{5} e^{8} x^{2} + 7 \, d^{6} e^{7} x + d^{7} e^{6}\right)}}"," ",0,"-1/420*(210*B*c^2*e^5*x^5 + 10*B*c^2*d^5 + 4*A*b^2*d^2*e^3 + 4*(2*B*b*c + A*c^2)*d^4*e + 3*(B*b^2 + 2*A*b*c)*d^3*e^2 + 70*(5*B*c^2*d*e^4 + 2*(2*B*b*c + A*c^2)*e^5)*x^4 + 35*(10*B*c^2*d^2*e^3 + 4*(2*B*b*c + A*c^2)*d*e^4 + 3*(B*b^2 + 2*A*b*c)*e^5)*x^3 + 21*(10*B*c^2*d^3*e^2 + 4*A*b^2*e^5 + 4*(2*B*b*c + A*c^2)*d^2*e^3 + 3*(B*b^2 + 2*A*b*c)*d*e^4)*x^2 + 7*(10*B*c^2*d^4*e + 4*A*b^2*d*e^4 + 4*(2*B*b*c + A*c^2)*d^3*e^2 + 3*(B*b^2 + 2*A*b*c)*d^2*e^3)*x)/(e^13*x^7 + 7*d*e^12*x^6 + 21*d^2*e^11*x^5 + 35*d^3*e^10*x^4 + 35*d^4*e^9*x^3 + 21*d^5*e^8*x^2 + 7*d^6*e^7*x + d^7*e^6)","A",0
1127,1,1527,0,0.981453," ","integrate((B*x+A)*(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} 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 b^{3}}{{\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 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 b^{2} c}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \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 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{3 \, {\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 b 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{{\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{{\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}}"," ",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*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*b^3/((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*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*b^2*c/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 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*b*c^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 3*((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*b*c^2/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7) + ((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) + ((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)","B",0
1128,1,428,0,0.508054," ","integrate((B*x+A)*(e*x+d)^4*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{12} \, B c^{3} e^{4} x^{12} + \frac{1}{4} \, A b^{3} d^{4} x^{4} + \frac{1}{11} \, {\left(4 \, B c^{3} d e^{3} + {\left(3 \, B b c^{2} + A c^{3}\right)} e^{4}\right)} x^{11} + \frac{1}{10} \, {\left(6 \, B c^{3} d^{2} e^{2} + 4 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{3} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} e^{4}\right)} x^{10} + \frac{1}{9} \, {\left(4 \, B c^{3} d^{3} e + 6 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{2} + 12 \, {\left(B b^{2} c + A b c^{2}\right)} d e^{3} + {\left(B b^{3} + 3 \, A b^{2} c\right)} e^{4}\right)} x^{9} + \frac{1}{8} \, {\left(B c^{3} d^{4} + A b^{3} e^{4} + 4 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e + 18 \, {\left(B b^{2} c + A b c^{2}\right)} d^{2} e^{2} + 4 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(4 \, A b^{3} d e^{3} + {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} + 12 \, {\left(B b^{2} c + A b c^{2}\right)} d^{3} e + 6 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{2} e^{2}\right)} x^{7} + \frac{1}{6} \, {\left(6 \, A b^{3} d^{2} e^{2} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} d^{4} + 4 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{3} e\right)} x^{6} + \frac{1}{5} \, {\left(4 \, A b^{3} d^{3} e + {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{4}\right)} x^{5}"," ",0,"1/12*B*c^3*e^4*x^12 + 1/4*A*b^3*d^4*x^4 + 1/11*(4*B*c^3*d*e^3 + (3*B*b*c^2 + A*c^3)*e^4)*x^11 + 1/10*(6*B*c^3*d^2*e^2 + 4*(3*B*b*c^2 + A*c^3)*d*e^3 + 3*(B*b^2*c + A*b*c^2)*e^4)*x^10 + 1/9*(4*B*c^3*d^3*e + 6*(3*B*b*c^2 + A*c^3)*d^2*e^2 + 12*(B*b^2*c + A*b*c^2)*d*e^3 + (B*b^3 + 3*A*b^2*c)*e^4)*x^9 + 1/8*(B*c^3*d^4 + A*b^3*e^4 + 4*(3*B*b*c^2 + A*c^3)*d^3*e + 18*(B*b^2*c + A*b*c^2)*d^2*e^2 + 4*(B*b^3 + 3*A*b^2*c)*d*e^3)*x^8 + 1/7*(4*A*b^3*d*e^3 + (3*B*b*c^2 + A*c^3)*d^4 + 12*(B*b^2*c + A*b*c^2)*d^3*e + 6*(B*b^3 + 3*A*b^2*c)*d^2*e^2)*x^7 + 1/6*(6*A*b^3*d^2*e^2 + 3*(B*b^2*c + A*b*c^2)*d^4 + 4*(B*b^3 + 3*A*b^2*c)*d^3*e)*x^6 + 1/5*(4*A*b^3*d^3*e + (B*b^3 + 3*A*b^2*c)*d^4)*x^5","A",0
1129,1,329,0,0.589226," ","integrate((B*x+A)*(e*x+d)^3*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{3} e^{3} x^{11} + \frac{1}{4} \, A b^{3} d^{3} x^{4} + \frac{1}{10} \, {\left(3 \, B c^{3} d e^{2} + {\left(3 \, B b c^{2} + A c^{3}\right)} e^{3}\right)} x^{10} + \frac{1}{3} \, {\left(B c^{3} d^{2} e + {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{2} + {\left(B b^{2} c + A b c^{2}\right)} e^{3}\right)} x^{9} + \frac{1}{8} \, {\left(B c^{3} d^{3} + 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e + 9 \, {\left(B b^{2} c + A b c^{2}\right)} d e^{2} + {\left(B b^{3} + 3 \, A b^{2} c\right)} e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(A b^{3} e^{3} + {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} + 9 \, {\left(B b^{2} c + A b c^{2}\right)} d^{2} e + 3 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d e^{2}\right)} x^{7} + \frac{1}{2} \, {\left(A b^{3} d e^{2} + {\left(B b^{2} c + A b c^{2}\right)} d^{3} + {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{2} e\right)} x^{6} + \frac{1}{5} \, {\left(3 \, A b^{3} d^{2} e + {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{3}\right)} x^{5}"," ",0,"1/11*B*c^3*e^3*x^11 + 1/4*A*b^3*d^3*x^4 + 1/10*(3*B*c^3*d*e^2 + (3*B*b*c^2 + A*c^3)*e^3)*x^10 + 1/3*(B*c^3*d^2*e + (3*B*b*c^2 + A*c^3)*d*e^2 + (B*b^2*c + A*b*c^2)*e^3)*x^9 + 1/8*(B*c^3*d^3 + 3*(3*B*b*c^2 + A*c^3)*d^2*e + 9*(B*b^2*c + A*b*c^2)*d*e^2 + (B*b^3 + 3*A*b^2*c)*e^3)*x^8 + 1/7*(A*b^3*e^3 + (3*B*b*c^2 + A*c^3)*d^3 + 9*(B*b^2*c + A*b*c^2)*d^2*e + 3*(B*b^3 + 3*A*b^2*c)*d*e^2)*x^7 + 1/2*(A*b^3*d*e^2 + (B*b^2*c + A*b*c^2)*d^3 + (B*b^3 + 3*A*b^2*c)*d^2*e)*x^6 + 1/5*(3*A*b^3*d^2*e + (B*b^3 + 3*A*b^2*c)*d^3)*x^5","A",0
1130,1,242,0,0.465511," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{3} e^{2} x^{10} + \frac{1}{4} \, A b^{3} d^{2} x^{4} + \frac{1}{9} \, {\left(2 \, B c^{3} d e + {\left(3 \, B b c^{2} + A c^{3}\right)} e^{2}\right)} x^{9} + \frac{1}{8} \, {\left(B c^{3} d^{2} + 2 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e + 3 \, {\left(B b^{2} c + A b c^{2}\right)} e^{2}\right)} x^{8} + \frac{1}{7} \, {\left({\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} + 6 \, {\left(B b^{2} c + A b c^{2}\right)} d e + {\left(B b^{3} + 3 \, A b^{2} c\right)} e^{2}\right)} x^{7} + \frac{1}{6} \, {\left(A b^{3} e^{2} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} d^{2} + 2 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d e\right)} x^{6} + \frac{1}{5} \, {\left(2 \, A b^{3} d e + {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{2}\right)} x^{5}"," ",0,"1/10*B*c^3*e^2*x^10 + 1/4*A*b^3*d^2*x^4 + 1/9*(2*B*c^3*d*e + (3*B*b*c^2 + A*c^3)*e^2)*x^9 + 1/8*(B*c^3*d^2 + 2*(3*B*b*c^2 + A*c^3)*d*e + 3*(B*b^2*c + A*b*c^2)*e^2)*x^8 + 1/7*((3*B*b*c^2 + A*c^3)*d^2 + 6*(B*b^2*c + A*b*c^2)*d*e + (B*b^3 + 3*A*b^2*c)*e^2)*x^7 + 1/6*(A*b^3*e^2 + 3*(B*b^2*c + A*b*c^2)*d^2 + 2*(B*b^3 + 3*A*b^2*c)*d*e)*x^6 + 1/5*(2*A*b^3*d*e + (B*b^3 + 3*A*b^2*c)*d^2)*x^5","A",0
1131,1,149,0,0.526849," ","integrate((B*x+A)*(e*x+d)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{3} e x^{9} + \frac{1}{4} \, A b^{3} d x^{4} + \frac{1}{8} \, {\left(B c^{3} d + {\left(3 \, B b c^{2} + A c^{3}\right)} e\right)} x^{8} + \frac{1}{7} \, {\left({\left(3 \, B b c^{2} + A c^{3}\right)} d + 3 \, {\left(B b^{2} c + A b c^{2}\right)} e\right)} x^{7} + \frac{1}{6} \, {\left(3 \, {\left(B b^{2} c + A b c^{2}\right)} d + {\left(B b^{3} + 3 \, A b^{2} c\right)} e\right)} x^{6} + \frac{1}{5} \, {\left(A b^{3} e + {\left(B b^{3} + 3 \, A b^{2} c\right)} d\right)} x^{5}"," ",0,"1/9*B*c^3*e*x^9 + 1/4*A*b^3*d*x^4 + 1/8*(B*c^3*d + (3*B*b*c^2 + A*c^3)*e)*x^8 + 1/7*((3*B*b*c^2 + A*c^3)*d + 3*(B*b^2*c + A*b*c^2)*e)*x^7 + 1/6*(3*(B*b^2*c + A*b*c^2)*d + (B*b^3 + 3*A*b^2*c)*e)*x^6 + 1/5*(A*b^3*e + (B*b^3 + 3*A*b^2*c)*d)*x^5","A",0
1132,1,73,0,0.553046," ","integrate((B*x+A)*(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{3} x^{8} + \frac{1}{4} \, A b^{3} x^{4} + \frac{1}{7} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{7} + \frac{1}{2} \, {\left(B b^{2} c + A b c^{2}\right)} x^{6} + \frac{1}{5} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{5}"," ",0,"1/8*B*c^3*x^8 + 1/4*A*b^3*x^4 + 1/7*(3*B*b*c^2 + A*c^3)*x^7 + 1/2*(B*b^2*c + A*b*c^2)*x^6 + 1/5*(B*b^3 + 3*A*b^2*c)*x^5","A",0
1133,1,530,0,0.553873," ","integrate((B*x+A)*(c*x^2+b*x)^3/(e*x+d),x, algorithm=""maxima"")","\frac{60 \, B c^{3} e^{6} x^{7} - 70 \, {\left(B c^{3} d e^{5} - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{6}\right)} x^{6} + 84 \, {\left(B c^{3} d^{2} e^{4} - {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{5} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} e^{6}\right)} x^{5} - 105 \, {\left(B c^{3} d^{3} e^{3} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{4} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} d e^{5} - {\left(B b^{3} + 3 \, A b^{2} c\right)} e^{6}\right)} x^{4} + 140 \, {\left(B c^{3} d^{4} e^{2} + A b^{3} e^{6} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{3} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} d^{2} e^{4} - {\left(B b^{3} + 3 \, A b^{2} c\right)} d e^{5}\right)} x^{3} - 210 \, {\left(B c^{3} d^{5} e + A b^{3} d e^{5} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{2} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} d^{3} e^{3} - {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{2} e^{4}\right)} x^{2} + 420 \, {\left(B c^{3} d^{6} + A b^{3} d^{2} e^{4} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e + 3 \, {\left(B b^{2} c + A b c^{2}\right)} d^{4} e^{2} - {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{3} e^{3}\right)} x}{420 \, e^{7}} - \frac{{\left(B c^{3} d^{7} + A b^{3} d^{3} e^{4} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 3 \, {\left(B b^{2} c + A b c^{2}\right)} d^{5} e^{2} - {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{4} e^{3}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/420*(60*B*c^3*e^6*x^7 - 70*(B*c^3*d*e^5 - (3*B*b*c^2 + A*c^3)*e^6)*x^6 + 84*(B*c^3*d^2*e^4 - (3*B*b*c^2 + A*c^3)*d*e^5 + 3*(B*b^2*c + A*b*c^2)*e^6)*x^5 - 105*(B*c^3*d^3*e^3 - (3*B*b*c^2 + A*c^3)*d^2*e^4 + 3*(B*b^2*c + A*b*c^2)*d*e^5 - (B*b^3 + 3*A*b^2*c)*e^6)*x^4 + 140*(B*c^3*d^4*e^2 + A*b^3*e^6 - (3*B*b*c^2 + A*c^3)*d^3*e^3 + 3*(B*b^2*c + A*b*c^2)*d^2*e^4 - (B*b^3 + 3*A*b^2*c)*d*e^5)*x^3 - 210*(B*c^3*d^5*e + A*b^3*d*e^5 - (3*B*b*c^2 + A*c^3)*d^4*e^2 + 3*(B*b^2*c + A*b*c^2)*d^3*e^3 - (B*b^3 + 3*A*b^2*c)*d^2*e^4)*x^2 + 420*(B*c^3*d^6 + A*b^3*d^2*e^4 - (3*B*b*c^2 + A*c^3)*d^5*e + 3*(B*b^2*c + A*b*c^2)*d^4*e^2 - (B*b^3 + 3*A*b^2*c)*d^3*e^3)*x)/e^7 - (B*c^3*d^7 + A*b^3*d^3*e^4 - (3*B*b*c^2 + A*c^3)*d^6*e + 3*(B*b^2*c + A*b*c^2)*d^5*e^2 - (B*b^3 + 3*A*b^2*c)*d^4*e^3)*log(e*x + d)/e^8","B",0
1134,1,541,0,0.531912," ","integrate((B*x+A)*(c*x^2+b*x)^3/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B c^{3} d^{7} + A b^{3} d^{3} e^{4} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 3 \, {\left(B b^{2} c + A b c^{2}\right)} d^{5} e^{2} - {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{4} e^{3}}{e^{9} x + d e^{8}} + \frac{10 \, B c^{3} e^{5} x^{6} - 12 \, {\left(2 \, B c^{3} d e^{4} - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{5}\right)} x^{5} + 15 \, {\left(3 \, B c^{3} d^{2} e^{3} - 2 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{4} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} e^{5}\right)} x^{4} - 20 \, {\left(4 \, B c^{3} d^{3} e^{2} - 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{3} + 6 \, {\left(B b^{2} c + A b c^{2}\right)} d e^{4} - {\left(B b^{3} + 3 \, A b^{2} c\right)} e^{5}\right)} x^{3} + 30 \, {\left(5 \, B c^{3} d^{4} e + A b^{3} e^{5} - 4 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{2} + 9 \, {\left(B b^{2} c + A b c^{2}\right)} d^{2} e^{3} - 2 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d e^{4}\right)} x^{2} - 60 \, {\left(6 \, B c^{3} d^{5} + 2 \, A b^{3} d e^{4} - 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e + 12 \, {\left(B b^{2} c + A b c^{2}\right)} d^{3} e^{2} - 3 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{2} e^{3}\right)} x}{60 \, e^{7}} + \frac{{\left(7 \, B c^{3} d^{6} + 3 \, A b^{3} d^{2} e^{4} - 6 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e + 15 \, {\left(B b^{2} c + A b c^{2}\right)} d^{4} e^{2} - 4 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{3} e^{3}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"(B*c^3*d^7 + A*b^3*d^3*e^4 - (3*B*b*c^2 + A*c^3)*d^6*e + 3*(B*b^2*c + A*b*c^2)*d^5*e^2 - (B*b^3 + 3*A*b^2*c)*d^4*e^3)/(e^9*x + d*e^8) + 1/60*(10*B*c^3*e^5*x^6 - 12*(2*B*c^3*d*e^4 - (3*B*b*c^2 + A*c^3)*e^5)*x^5 + 15*(3*B*c^3*d^2*e^3 - 2*(3*B*b*c^2 + A*c^3)*d*e^4 + 3*(B*b^2*c + A*b*c^2)*e^5)*x^4 - 20*(4*B*c^3*d^3*e^2 - 3*(3*B*b*c^2 + A*c^3)*d^2*e^3 + 6*(B*b^2*c + A*b*c^2)*d*e^4 - (B*b^3 + 3*A*b^2*c)*e^5)*x^3 + 30*(5*B*c^3*d^4*e + A*b^3*e^5 - 4*(3*B*b*c^2 + A*c^3)*d^3*e^2 + 9*(B*b^2*c + A*b*c^2)*d^2*e^3 - 2*(B*b^3 + 3*A*b^2*c)*d*e^4)*x^2 - 60*(6*B*c^3*d^5 + 2*A*b^3*d*e^4 - 5*(3*B*b*c^2 + A*c^3)*d^4*e + 12*(B*b^2*c + A*b*c^2)*d^3*e^2 - 3*(B*b^3 + 3*A*b^2*c)*d^2*e^3)*x)/e^7 + (7*B*c^3*d^6 + 3*A*b^3*d^2*e^4 - 6*(3*B*b*c^2 + A*c^3)*d^5*e + 15*(B*b^2*c + A*b*c^2)*d^4*e^2 - 4*(B*b^3 + 3*A*b^2*c)*d^3*e^3)*log(e*x + d)/e^8","A",0
1135,1,550,0,0.669822," ","integrate((B*x+A)*(c*x^2+b*x)^3/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{13 \, B c^{3} d^{7} + 5 \, A b^{3} d^{3} e^{4} - 11 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 27 \, {\left(B b^{2} c + A b c^{2}\right)} d^{5} e^{2} - 7 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{4} e^{3} + 2 \, {\left(7 \, B c^{3} d^{6} e + 3 \, A b^{3} d^{2} e^{5} - 6 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 15 \, {\left(B b^{2} c + A b c^{2}\right)} d^{4} e^{3} - 4 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{3} e^{4}\right)} x}{2 \, {\left(e^{10} x^{2} + 2 \, d e^{9} x + d^{2} e^{8}\right)}} + \frac{4 \, B c^{3} e^{4} x^{5} - 5 \, {\left(3 \, B c^{3} d e^{3} - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{4}\right)} x^{4} + 20 \, {\left(2 \, B c^{3} d^{2} e^{2} - {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{3} + {\left(B b^{2} c + A b c^{2}\right)} e^{4}\right)} x^{3} - 10 \, {\left(10 \, B c^{3} d^{3} e - 6 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{2} + 9 \, {\left(B b^{2} c + A b c^{2}\right)} d e^{3} - {\left(B b^{3} + 3 \, A b^{2} c\right)} e^{4}\right)} x^{2} + 20 \, {\left(15 \, B c^{3} d^{4} + A b^{3} e^{4} - 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e + 18 \, {\left(B b^{2} c + A b c^{2}\right)} d^{2} e^{2} - 3 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d e^{3}\right)} x}{20 \, e^{7}} - \frac{3 \, {\left(7 \, B c^{3} d^{5} + A b^{3} d e^{4} - 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e + 10 \, {\left(B b^{2} c + A b c^{2}\right)} d^{3} e^{2} - 2 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{2} e^{3}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"-1/2*(13*B*c^3*d^7 + 5*A*b^3*d^3*e^4 - 11*(3*B*b*c^2 + A*c^3)*d^6*e + 27*(B*b^2*c + A*b*c^2)*d^5*e^2 - 7*(B*b^3 + 3*A*b^2*c)*d^4*e^3 + 2*(7*B*c^3*d^6*e + 3*A*b^3*d^2*e^5 - 6*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 15*(B*b^2*c + A*b*c^2)*d^4*e^3 - 4*(B*b^3 + 3*A*b^2*c)*d^3*e^4)*x)/(e^10*x^2 + 2*d*e^9*x + d^2*e^8) + 1/20*(4*B*c^3*e^4*x^5 - 5*(3*B*c^3*d*e^3 - (3*B*b*c^2 + A*c^3)*e^4)*x^4 + 20*(2*B*c^3*d^2*e^2 - (3*B*b*c^2 + A*c^3)*d*e^3 + (B*b^2*c + A*b*c^2)*e^4)*x^3 - 10*(10*B*c^3*d^3*e - 6*(3*B*b*c^2 + A*c^3)*d^2*e^2 + 9*(B*b^2*c + A*b*c^2)*d*e^3 - (B*b^3 + 3*A*b^2*c)*e^4)*x^2 + 20*(15*B*c^3*d^4 + A*b^3*e^4 - 10*(3*B*b*c^2 + A*c^3)*d^3*e + 18*(B*b^2*c + A*b*c^2)*d^2*e^2 - 3*(B*b^3 + 3*A*b^2*c)*d*e^3)*x)/e^7 - 3*(7*B*c^3*d^5 + A*b^3*d*e^4 - 5*(3*B*b*c^2 + A*c^3)*d^4*e + 10*(B*b^2*c + A*b*c^2)*d^3*e^2 - 2*(B*b^3 + 3*A*b^2*c)*d^2*e^3)*log(e*x + d)/e^8","A",0
1136,1,561,0,0.569627," ","integrate((B*x+A)*(c*x^2+b*x)^3/(e*x+d)^4,x, algorithm=""maxima"")","\frac{107 \, B c^{3} d^{7} + 11 \, A b^{3} d^{3} e^{4} - 74 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 141 \, {\left(B b^{2} c + A b c^{2}\right)} d^{5} e^{2} - 26 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{4} e^{3} + 18 \, {\left(7 \, B c^{3} d^{5} e^{2} + A b^{3} d e^{6} - 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{3} + 10 \, {\left(B b^{2} c + A b c^{2}\right)} d^{3} e^{4} - 2 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{2} e^{5}\right)} x^{2} + 3 \, {\left(77 \, B c^{3} d^{6} e + 9 \, A b^{3} d^{2} e^{5} - 54 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 105 \, {\left(B b^{2} c + A b c^{2}\right)} d^{4} e^{3} - 20 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d^{3} e^{4}\right)} x}{6 \, {\left(e^{11} x^{3} + 3 \, d e^{10} x^{2} + 3 \, d^{2} e^{9} x + d^{3} e^{8}\right)}} + \frac{3 \, B c^{3} e^{3} x^{4} - 4 \, {\left(4 \, B c^{3} d e^{2} - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{3}\right)} x^{3} + 6 \, {\left(10 \, B c^{3} d^{2} e - 4 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{2} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} e^{3}\right)} x^{2} - 12 \, {\left(20 \, B c^{3} d^{3} - 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e + 12 \, {\left(B b^{2} c + A b c^{2}\right)} d e^{2} - {\left(B b^{3} + 3 \, A b^{2} c\right)} e^{3}\right)} x}{12 \, e^{7}} + \frac{{\left(35 \, B c^{3} d^{4} + A b^{3} e^{4} - 20 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e + 30 \, {\left(B b^{2} c + A b c^{2}\right)} d^{2} e^{2} - 4 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} d e^{3}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/6*(107*B*c^3*d^7 + 11*A*b^3*d^3*e^4 - 74*(3*B*b*c^2 + A*c^3)*d^6*e + 141*(B*b^2*c + A*b*c^2)*d^5*e^2 - 26*(B*b^3 + 3*A*b^2*c)*d^4*e^3 + 18*(7*B*c^3*d^5*e^2 + A*b^3*d*e^6 - 5*(3*B*b*c^2 + A*c^3)*d^4*e^3 + 10*(B*b^2*c + A*b*c^2)*d^3*e^4 - 2*(B*b^3 + 3*A*b^2*c)*d^2*e^5)*x^2 + 3*(77*B*c^3*d^6*e + 9*A*b^3*d^2*e^5 - 54*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 105*(B*b^2*c + A*b*c^2)*d^4*e^3 - 20*(B*b^3 + 3*A*b^2*c)*d^3*e^4)*x)/(e^11*x^3 + 3*d*e^10*x^2 + 3*d^2*e^9*x + d^3*e^8) + 1/12*(3*B*c^3*e^3*x^4 - 4*(4*B*c^3*d*e^2 - (3*B*b*c^2 + A*c^3)*e^3)*x^3 + 6*(10*B*c^3*d^2*e - 4*(3*B*b*c^2 + A*c^3)*d*e^2 + 3*(B*b^2*c + A*b*c^2)*e^3)*x^2 - 12*(20*B*c^3*d^3 - 10*(3*B*b*c^2 + A*c^3)*d^2*e + 12*(B*b^2*c + A*b*c^2)*d*e^2 - (B*b^3 + 3*A*b^2*c)*e^3)*x)/e^7 + (35*B*c^3*d^4 + A*b^3*e^4 - 20*(3*B*b*c^2 + A*c^3)*d^3*e + 30*(B*b^2*c + A*b*c^2)*d^2*e^2 - 4*(B*b^3 + 3*A*b^2*c)*d*e^3)*log(e*x + d)/e^8","A",0
1137,1,309,0,0.501971," ","integrate((B*x+A)*(e*x+d)^4/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{A d^{4} \log\left(x\right)}{b} + \frac{3 \, B c^{3} e^{4} x^{4} + 4 \, {\left(4 \, B c^{3} d e^{3} - {\left(B b c^{2} - A c^{3}\right)} e^{4}\right)} x^{3} + 6 \, {\left(6 \, B c^{3} d^{2} e^{2} - 4 \, {\left(B b c^{2} - A c^{3}\right)} d e^{3} + {\left(B b^{2} c - A b c^{2}\right)} e^{4}\right)} x^{2} + 12 \, {\left(4 \, B c^{3} d^{3} e - 6 \, {\left(B b c^{2} - A c^{3}\right)} d^{2} e^{2} + 4 \, {\left(B b^{2} c - A b c^{2}\right)} d e^{3} - {\left(B b^{3} - A b^{2} c\right)} e^{4}\right)} x}{12 \, c^{4}} + \frac{{\left({\left(B b c^{4} - A c^{5}\right)} d^{4} - 4 \, {\left(B b^{2} c^{3} - A b c^{4}\right)} d^{3} e + 6 \, {\left(B b^{3} c^{2} - A b^{2} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(B b^{4} c - A b^{3} c^{2}\right)} d e^{3} + {\left(B b^{5} - A b^{4} c\right)} e^{4}\right)} \log\left(c x + b\right)}{b c^{5}}"," ",0,"A*d^4*log(x)/b + 1/12*(3*B*c^3*e^4*x^4 + 4*(4*B*c^3*d*e^3 - (B*b*c^2 - A*c^3)*e^4)*x^3 + 6*(6*B*c^3*d^2*e^2 - 4*(B*b*c^2 - A*c^3)*d*e^3 + (B*b^2*c - A*b*c^2)*e^4)*x^2 + 12*(4*B*c^3*d^3*e - 6*(B*b*c^2 - A*c^3)*d^2*e^2 + 4*(B*b^2*c - A*b*c^2)*d*e^3 - (B*b^3 - A*b^2*c)*e^4)*x)/c^4 + ((B*b*c^4 - A*c^5)*d^4 - 4*(B*b^2*c^3 - A*b*c^4)*d^3*e + 6*(B*b^3*c^2 - A*b^2*c^3)*d^2*e^2 - 4*(B*b^4*c - A*b^3*c^2)*d*e^3 + (B*b^5 - A*b^4*c)*e^4)*log(c*x + b)/(b*c^5)","A",0
1138,1,200,0,0.607121," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{A d^{3} \log\left(x\right)}{b} + \frac{2 \, B c^{2} e^{3} x^{3} + 3 \, {\left(3 \, B c^{2} d e^{2} - {\left(B b c - A c^{2}\right)} e^{3}\right)} x^{2} + 6 \, {\left(3 \, B c^{2} d^{2} e - 3 \, {\left(B b c - A c^{2}\right)} d e^{2} + {\left(B b^{2} - A b c\right)} e^{3}\right)} x}{6 \, c^{3}} + \frac{{\left({\left(B b c^{3} - A c^{4}\right)} d^{3} - 3 \, {\left(B b^{2} c^{2} - A b c^{3}\right)} d^{2} e + 3 \, {\left(B b^{3} c - A b^{2} c^{2}\right)} d e^{2} - {\left(B b^{4} - A b^{3} c\right)} e^{3}\right)} \log\left(c x + b\right)}{b c^{4}}"," ",0,"A*d^3*log(x)/b + 1/6*(2*B*c^2*e^3*x^3 + 3*(3*B*c^2*d*e^2 - (B*b*c - A*c^2)*e^3)*x^2 + 6*(3*B*c^2*d^2*e - 3*(B*b*c - A*c^2)*d*e^2 + (B*b^2 - A*b*c)*e^3)*x)/c^3 + ((B*b*c^3 - A*c^4)*d^3 - 3*(B*b^2*c^2 - A*b*c^3)*d^2*e + 3*(B*b^3*c - A*b^2*c^2)*d*e^2 - (B*b^4 - A*b^3*c)*e^3)*log(c*x + b)/(b*c^4)","A",0
1139,1,115,0,0.588893," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{A d^{2} \log\left(x\right)}{b} + \frac{B c e^{2} x^{2} + 2 \, {\left(2 \, B c d e - {\left(B b - A c\right)} e^{2}\right)} x}{2 \, c^{2}} + \frac{{\left({\left(B b c^{2} - A c^{3}\right)} d^{2} - 2 \, {\left(B b^{2} c - A b c^{2}\right)} d e + {\left(B b^{3} - A b^{2} c\right)} e^{2}\right)} \log\left(c x + b\right)}{b c^{3}}"," ",0,"A*d^2*log(x)/b + 1/2*(B*c*e^2*x^2 + 2*(2*B*c*d*e - (B*b - A*c)*e^2)*x)/c^2 + ((B*b*c^2 - A*c^3)*d^2 - 2*(B*b^2*c - A*b*c^2)*d*e + (B*b^3 - A*b^2*c)*e^2)*log(c*x + b)/(b*c^3)","A",0
1140,1,57,0,0.504044," ","integrate((B*x+A)*(e*x+d)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{B e x}{c} + \frac{A d \log\left(x\right)}{b} + \frac{{\left({\left(B b c - A c^{2}\right)} d - {\left(B b^{2} - A b c\right)} e\right)} \log\left(c x + b\right)}{b c^{2}}"," ",0,"B*e*x/c + A*d*log(x)/b + ((B*b*c - A*c^2)*d - (B*b^2 - A*b*c)*e)*log(c*x + b)/(b*c^2)","A",0
1141,1,29,0,0.471241," ","integrate((B*x+A)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{A \log\left(x\right)}{b} + \frac{{\left(B b - A c\right)} \log\left(c x + b\right)}{b c}"," ",0,"A*log(x)/b + (B*b - A*c)*log(c*x + b)/(b*c)","A",0
1142,1,68,0,0.528509," ","integrate((B*x+A)/(e*x+d)/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{{\left(B b - A c\right)} \log\left(c x + b\right)}{b c d - b^{2} e} - \frac{{\left(B d - A e\right)} \log\left(e x + d\right)}{c d^{2} - b d e} + \frac{A \log\left(x\right)}{b d}"," ",0,"(B*b - A*c)*log(c*x + b)/(b*c*d - b^2*e) - (B*d - A*e)*log(e*x + d)/(c*d^2 - b*d*e) + A*log(x)/(b*d)","A",0
1143,1,150,0,0.625622," ","integrate((B*x+A)/(e*x+d)^2/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{{\left(B b c - A c^{2}\right)} \log\left(c x + b\right)}{b c^{2} d^{2} - 2 \, b^{2} c d e + b^{3} e^{2}} - \frac{{\left(B c d^{2} - 2 \, A c d e + A 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{B d - A e}{c d^{3} - b d^{2} e + {\left(c d^{2} e - b d e^{2}\right)} x} + \frac{A \log\left(x\right)}{b d^{2}}"," ",0,"(B*b*c - A*c^2)*log(c*x + b)/(b*c^2*d^2 - 2*b^2*c*d*e + b^3*e^2) - (B*c*d^2 - 2*A*c*d*e + A*b*e^2)*log(e*x + d)/(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2) + (B*d - A*e)/(c*d^3 - b*d^2*e + (c*d^2*e - b*d*e^2)*x) + A*log(x)/(b*d^2)","A",0
1144,1,312,0,0.706560," ","integrate((B*x+A)/(e*x+d)^3/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{{\left(B b c^{2} - A c^{3}\right)} \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(B c^{2} d^{3} - 3 \, A c^{2} d^{2} e + 3 \, A b c d e^{2} - A 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{3 \, B c d^{3} + 3 \, A b d e^{2} - {\left(B b + 5 \, A c\right)} d^{2} e + 2 \, {\left(B c d^{2} e - 2 \, A c d e^{2} + A 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{A \log\left(x\right)}{b d^{3}}"," ",0,"(B*b*c^2 - A*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) - (B*c^2*d^3 - 3*A*c^2*d^2*e + 3*A*b*c*d*e^2 - A*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*(3*B*c*d^3 + 3*A*b*d*e^2 - (B*b + 5*A*c)*d^2*e + 2*(B*c*d^2*e - 2*A*c*d*e^2 + A*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) + A*log(x)/(b*d^3)","A",0
1145,1,553,0,0.784343," ","integrate((B*x+A)/(e*x+d)^4/(c*x^2+b*x),x, algorithm=""maxima"")","\frac{{\left(B b c^{3} - A c^{4}\right)} \log\left(c x + b\right)}{b c^{4} d^{4} - 4 \, b^{2} c^{3} d^{3} e + 6 \, b^{3} c^{2} d^{2} e^{2} - 4 \, b^{4} c d e^{3} + b^{5} e^{4}} - \frac{{\left(B c^{3} d^{4} - 4 \, A c^{3} d^{3} e + 6 \, A b c^{2} d^{2} e^{2} - 4 \, A b^{2} c d e^{3} + A b^{3} e^{4}\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{11 \, B c^{2} d^{5} - 11 \, A b^{2} d^{2} e^{3} - {\left(7 \, B b c + 26 \, A c^{2}\right)} d^{4} e + {\left(2 \, B b^{2} + 31 \, A b c\right)} d^{3} e^{2} + 6 \, {\left(B c^{2} d^{3} e^{2} - 3 \, A c^{2} d^{2} e^{3} + 3 \, A b c d e^{4} - A b^{2} e^{5}\right)} x^{2} + 3 \, {\left(5 \, B c^{2} d^{4} e + 15 \, A b c d^{2} e^{3} - 5 \, A b^{2} d e^{4} - {\left(B b c + 14 \, A c^{2}\right)} d^{3} e^{2}\right)} x}{6 \, {\left(c^{3} d^{9} - 3 \, b c^{2} d^{8} e + 3 \, b^{2} c d^{7} e^{2} - b^{3} d^{6} e^{3} + {\left(c^{3} d^{6} e^{3} - 3 \, b c^{2} d^{5} e^{4} + 3 \, b^{2} c d^{4} e^{5} - b^{3} d^{3} e^{6}\right)} x^{3} + 3 \, {\left(c^{3} d^{7} e^{2} - 3 \, b c^{2} d^{6} e^{3} + 3 \, b^{2} c d^{5} e^{4} - b^{3} d^{4} e^{5}\right)} x^{2} + 3 \, {\left(c^{3} d^{8} e - 3 \, b c^{2} d^{7} e^{2} + 3 \, b^{2} c d^{6} e^{3} - b^{3} d^{5} e^{4}\right)} x\right)}} + \frac{A \log\left(x\right)}{b d^{4}}"," ",0,"(B*b*c^3 - A*c^4)*log(c*x + b)/(b*c^4*d^4 - 4*b^2*c^3*d^3*e + 6*b^3*c^2*d^2*e^2 - 4*b^4*c*d*e^3 + b^5*e^4) - (B*c^3*d^4 - 4*A*c^3*d^3*e + 6*A*b*c^2*d^2*e^2 - 4*A*b^2*c*d*e^3 + A*b^3*e^4)*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) + 1/6*(11*B*c^2*d^5 - 11*A*b^2*d^2*e^3 - (7*B*b*c + 26*A*c^2)*d^4*e + (2*B*b^2 + 31*A*b*c)*d^3*e^2 + 6*(B*c^2*d^3*e^2 - 3*A*c^2*d^2*e^3 + 3*A*b*c*d*e^4 - A*b^2*e^5)*x^2 + 3*(5*B*c^2*d^4*e + 15*A*b*c*d^2*e^3 - 5*A*b^2*d*e^4 - (B*b*c + 14*A*c^2)*d^3*e^2)*x)/(c^3*d^9 - 3*b*c^2*d^8*e + 3*b^2*c*d^7*e^2 - b^3*d^6*e^3 + (c^3*d^6*e^3 - 3*b*c^2*d^5*e^4 + 3*b^2*c*d^4*e^5 - b^3*d^3*e^6)*x^3 + 3*(c^3*d^7*e^2 - 3*b*c^2*d^6*e^3 + 3*b^2*c*d^5*e^4 - b^3*d^4*e^5)*x^2 + 3*(c^3*d^8*e - 3*b*c^2*d^7*e^2 + 3*b^2*c*d^6*e^3 - b^3*d^5*e^4)*x) + A*log(x)/(b*d^4)","B",0
1146,1,310,0,0.503845," ","integrate((B*x+A)*(e*x+d)^4/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{A b c^{4} d^{4} - {\left({\left(B b c^{4} - 2 \, A c^{5}\right)} d^{4} - 4 \, {\left(B b^{2} c^{3} - A b c^{4}\right)} d^{3} e + 6 \, {\left(B b^{3} c^{2} - A b^{2} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(B b^{4} c - A b^{3} c^{2}\right)} d e^{3} + {\left(B b^{5} - A b^{4} c\right)} e^{4}\right)} x}{b^{2} c^{5} x^{2} + b^{3} c^{4} x} + \frac{{\left(4 \, A b d^{3} e + {\left(B b - 2 \, A c\right)} d^{4}\right)} \log\left(x\right)}{b^{3}} + \frac{B c e^{4} x^{2} + 2 \, {\left(4 \, B c d e^{3} - {\left(2 \, B b - A c\right)} e^{4}\right)} x}{2 \, c^{3}} - \frac{{\left(4 \, A b c^{4} d^{3} e - 6 \, B b^{3} c^{2} d^{2} e^{2} + {\left(B b c^{4} - 2 \, A c^{5}\right)} d^{4} + 4 \, {\left(2 \, B b^{4} c - A b^{3} c^{2}\right)} d e^{3} - {\left(3 \, B b^{5} - 2 \, A b^{4} c\right)} e^{4}\right)} \log\left(c x + b\right)}{b^{3} c^{4}}"," ",0,"-(A*b*c^4*d^4 - ((B*b*c^4 - 2*A*c^5)*d^4 - 4*(B*b^2*c^3 - A*b*c^4)*d^3*e + 6*(B*b^3*c^2 - A*b^2*c^3)*d^2*e^2 - 4*(B*b^4*c - A*b^3*c^2)*d*e^3 + (B*b^5 - A*b^4*c)*e^4)*x)/(b^2*c^5*x^2 + b^3*c^4*x) + (4*A*b*d^3*e + (B*b - 2*A*c)*d^4)*log(x)/b^3 + 1/2*(B*c*e^4*x^2 + 2*(4*B*c*d*e^3 - (2*B*b - A*c)*e^4)*x)/c^3 - (4*A*b*c^4*d^3*e - 6*B*b^3*c^2*d^2*e^2 + (B*b*c^4 - 2*A*c^5)*d^4 + 4*(2*B*b^4*c - A*b^3*c^2)*d*e^3 - (3*B*b^5 - 2*A*b^4*c)*e^4)*log(c*x + b)/(b^3*c^4)","B",0
1147,1,225,0,0.513680," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{B e^{3} x}{c^{2}} - \frac{A b c^{3} d^{3} - {\left({\left(B b c^{3} - 2 \, A c^{4}\right)} d^{3} - 3 \, {\left(B b^{2} c^{2} - A b c^{3}\right)} d^{2} e + 3 \, {\left(B b^{3} c - A b^{2} c^{2}\right)} d e^{2} - {\left(B b^{4} - A b^{3} c\right)} e^{3}\right)} x}{b^{2} c^{4} x^{2} + b^{3} c^{3} x} + \frac{{\left(3 \, A b d^{2} e + {\left(B b - 2 \, A c\right)} d^{3}\right)} \log\left(x\right)}{b^{3}} - \frac{{\left(3 \, A b c^{3} d^{2} e - 3 \, B b^{3} c d e^{2} + {\left(B b c^{3} - 2 \, A c^{4}\right)} d^{3} + {\left(2 \, B b^{4} - A b^{3} c\right)} e^{3}\right)} \log\left(c x + b\right)}{b^{3} c^{3}}"," ",0,"B*e^3*x/c^2 - (A*b*c^3*d^3 - ((B*b*c^3 - 2*A*c^4)*d^3 - 3*(B*b^2*c^2 - A*b*c^3)*d^2*e + 3*(B*b^3*c - A*b^2*c^2)*d*e^2 - (B*b^4 - A*b^3*c)*e^3)*x)/(b^2*c^4*x^2 + b^3*c^3*x) + (3*A*b*d^2*e + (B*b - 2*A*c)*d^3)*log(x)/b^3 - (3*A*b*c^3*d^2*e - 3*B*b^3*c*d*e^2 + (B*b*c^3 - 2*A*c^4)*d^3 + (2*B*b^4 - A*b^3*c)*e^3)*log(c*x + b)/(b^3*c^3)","A",0
1148,1,165,0,0.473821," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{A b c^{2} d^{2} - {\left({\left(B b c^{2} - 2 \, A c^{3}\right)} d^{2} - 2 \, {\left(B b^{2} c - A b c^{2}\right)} d e + {\left(B b^{3} - A b^{2} c\right)} e^{2}\right)} x}{b^{2} c^{3} x^{2} + b^{3} c^{2} x} + \frac{{\left(2 \, A b d e + {\left(B b - 2 \, A c\right)} d^{2}\right)} \log\left(x\right)}{b^{3}} - \frac{{\left(2 \, A b c^{2} d e - B b^{3} e^{2} + {\left(B b c^{2} - 2 \, A c^{3}\right)} d^{2}\right)} \log\left(c x + b\right)}{b^{3} c^{2}}"," ",0,"-(A*b*c^2*d^2 - ((B*b*c^2 - 2*A*c^3)*d^2 - 2*(B*b^2*c - A*b*c^2)*d*e + (B*b^3 - A*b^2*c)*e^2)*x)/(b^2*c^3*x^2 + b^3*c^2*x) + (2*A*b*d*e + (B*b - 2*A*c)*d^2)*log(x)/b^3 - (2*A*b*c^2*d*e - B*b^3*e^2 + (B*b*c^2 - 2*A*c^3)*d^2)*log(c*x + b)/(b^3*c^2)","A",0
1149,1,106,0,0.469698," ","integrate((B*x+A)*(e*x+d)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{A b c d - {\left({\left(B b c - 2 \, A c^{2}\right)} d - {\left(B b^{2} - A b c\right)} e\right)} x}{b^{2} c^{2} x^{2} + b^{3} c x} - \frac{{\left(A b e + {\left(B b - 2 \, A c\right)} d\right)} \log\left(c x + b\right)}{b^{3}} + \frac{{\left(A b e + {\left(B b - 2 \, A c\right)} d\right)} \log\left(x\right)}{b^{3}}"," ",0,"-(A*b*c*d - ((B*b*c - 2*A*c^2)*d - (B*b^2 - A*b*c)*e)*x)/(b^2*c^2*x^2 + b^3*c*x) - (A*b*e + (B*b - 2*A*c)*d)*log(c*x + b)/b^3 + (A*b*e + (B*b - 2*A*c)*d)*log(x)/b^3","A",0
1150,1,67,0,0.644386," ","integrate((B*x+A)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{A b - {\left(B b - 2 \, A c\right)} x}{b^{2} c x^{2} + b^{3} x} - \frac{{\left(B b - 2 \, A c\right)} \log\left(c x + b\right)}{b^{3}} + \frac{{\left(B b - 2 \, A c\right)} \log\left(x\right)}{b^{3}}"," ",0,"-(A*b - (B*b - 2*A*c)*x)/(b^2*c*x^2 + b^3*x) - (B*b - 2*A*c)*log(c*x + b)/b^3 + (B*b - 2*A*c)*log(x)/b^3","A",0
1151,1,227,0,0.706515," ","integrate((B*x+A)/(e*x+d)/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{{\left({\left(B b c^{2} - 2 \, A c^{3}\right)} d - {\left(2 \, B b^{2} c - 3 \, A b c^{2}\right)} 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{{\left(B d e^{2} - A e^{3}\right)} \log\left(e x + d\right)}{c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2}} - \frac{A b c d - A b^{2} e - {\left(A b c e + {\left(B b c - 2 \, A c^{2}\right)} d\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(A b e - {\left(B b - 2 \, A c\right)} d\right)} \log\left(x\right)}{b^{3} d^{2}}"," ",0,"-((B*b*c^2 - 2*A*c^3)*d - (2*B*b^2*c - 3*A*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*d*e^2 - A*e^3)*log(e*x + d)/(c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2) - (A*b*c*d - A*b^2*e - (A*b*c*e + (B*b*c - 2*A*c^2)*d)*x)/((b^2*c^2*d^2 - b^3*c*d*e)*x^2 + (b^3*c*d^2 - b^4*d*e)*x) - (A*b*e - (B*b - 2*A*c)*d)*log(x)/(b^3*d^2)","A",0
1152,1,467,0,0.712509," ","integrate((B*x+A)/(e*x+d)^2/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{{\left({\left(B b c^{3} - 2 \, A c^{4}\right)} d - {\left(3 \, B b^{2} c^{2} - 4 \, A b c^{3}\right)} 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{{\left(3 \, B c d^{2} e^{2} + 2 \, A b e^{4} - {\left(B b + 4 \, A c\right)} d 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{A b c^{2} d^{3} - 2 \, A b^{2} c d^{2} e + A b^{3} d e^{2} + {\left(2 \, A b^{2} c e^{3} - {\left(B b c^{2} - 2 \, A c^{3}\right)} d^{2} e - {\left(B b^{2} c + 2 \, A b c^{2}\right)} d e^{2}\right)} x^{2} - {\left(A b c^{2} d^{2} e - 2 \, A b^{3} e^{3} + {\left(B b c^{2} - 2 \, A c^{3}\right)} d^{3} + {\left(B b^{3} + A b^{2} c\right)} d e^{2}\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{{\left(2 \, A b e - {\left(B b - 2 \, A c\right)} d\right)} \log\left(x\right)}{b^{3} d^{3}}"," ",0,"-((B*b*c^3 - 2*A*c^4)*d - (3*B*b^2*c^2 - 4*A*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) - (3*B*c*d^2*e^2 + 2*A*b*e^4 - (B*b + 4*A*c)*d*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) - (A*b*c^2*d^3 - 2*A*b^2*c*d^2*e + A*b^3*d*e^2 + (2*A*b^2*c*e^3 - (B*b*c^2 - 2*A*c^3)*d^2*e - (B*b^2*c + 2*A*b*c^2)*d*e^2)*x^2 - (A*b*c^2*d^2*e - 2*A*b^3*e^3 + (B*b*c^2 - 2*A*c^3)*d^3 + (B*b^3 + A*b^2*c)*d*e^2)*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*A*b*e - (B*b - 2*A*c)*d)*log(x)/(b^3*d^3)","B",0
1153,1,813,0,1.111307," ","integrate((B*x+A)/(e*x+d)^3/(c*x^2+b*x)^2,x, algorithm=""maxima"")","-\frac{{\left({\left(B b c^{4} - 2 \, A c^{5}\right)} d - {\left(4 \, B b^{2} c^{3} - 5 \, A b c^{4}\right)} e\right)} \log\left(c x + b\right)}{b^{3} c^{4} d^{4} - 4 \, b^{4} c^{3} d^{3} e + 6 \, b^{5} c^{2} d^{2} e^{2} - 4 \, b^{6} c d e^{3} + b^{7} e^{4}} - \frac{{\left(6 \, B c^{2} d^{3} e^{2} - 3 \, A b^{2} e^{5} - 2 \, {\left(2 \, B b c + 5 \, A c^{2}\right)} d^{2} e^{3} + {\left(B b^{2} + 10 \, A b c\right)} d e^{4}\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{2 \, A b c^{3} d^{5} - 6 \, A b^{2} c^{2} d^{4} e + 6 \, A b^{3} c d^{3} e^{2} - 2 \, A b^{4} d^{2} e^{3} - 2 \, {\left(3 \, A b^{3} c e^{5} + {\left(B b c^{3} - 2 \, A c^{4}\right)} d^{3} e^{2} + 3 \, {\left(B b^{2} c^{2} + A b c^{3}\right)} d^{2} e^{3} - {\left(B b^{3} c + 7 \, A b^{2} c^{2}\right)} d e^{4}\right)} x^{3} - {\left(6 \, A b^{4} e^{5} + 4 \, {\left(B b c^{3} - 2 \, A c^{4}\right)} d^{4} e + {\left(7 \, B b^{2} c^{2} + 10 \, A b c^{3}\right)} d^{3} e^{2} + 3 \, {\left(B b^{3} c - 5 \, A b^{2} c^{2}\right)} d^{2} e^{3} - {\left(2 \, B b^{4} + 5 \, A b^{3} c\right)} d e^{4}\right)} x^{2} - {\left(2 \, A b c^{3} d^{4} e + 9 \, A b^{4} d e^{4} + 2 \, {\left(B b c^{3} - 2 \, A c^{4}\right)} d^{5} + {\left(7 \, B b^{3} c + 6 \, A b^{2} c^{2}\right)} d^{3} e^{2} - {\left(3 \, B b^{4} + 19 \, A b^{3} c\right)} d^{2} e^{3}\right)} x}{2 \, {\left({\left(b^{2} c^{4} d^{6} e^{2} - 3 \, b^{3} c^{3} d^{5} e^{3} + 3 \, b^{4} c^{2} d^{4} e^{4} - b^{5} c d^{3} e^{5}\right)} x^{4} + {\left(2 \, b^{2} c^{4} d^{7} e - 5 \, b^{3} c^{3} d^{6} e^{2} + 3 \, b^{4} c^{2} d^{5} e^{3} + b^{5} c d^{4} e^{4} - b^{6} d^{3} e^{5}\right)} x^{3} + {\left(b^{2} c^{4} d^{8} - b^{3} c^{3} d^{7} e - 3 \, b^{4} c^{2} d^{6} e^{2} + 5 \, b^{5} c d^{5} e^{3} - 2 \, b^{6} d^{4} e^{4}\right)} x^{2} + {\left(b^{3} c^{3} d^{8} - 3 \, b^{4} c^{2} d^{7} e + 3 \, b^{5} c d^{6} e^{2} - b^{6} d^{5} e^{3}\right)} x\right)}} - \frac{{\left(3 \, A b e - {\left(B b - 2 \, A c\right)} d\right)} \log\left(x\right)}{b^{3} d^{4}}"," ",0,"-((B*b*c^4 - 2*A*c^5)*d - (4*B*b^2*c^3 - 5*A*b*c^4)*e)*log(c*x + b)/(b^3*c^4*d^4 - 4*b^4*c^3*d^3*e + 6*b^5*c^2*d^2*e^2 - 4*b^6*c*d*e^3 + b^7*e^4) - (6*B*c^2*d^3*e^2 - 3*A*b^2*e^5 - 2*(2*B*b*c + 5*A*c^2)*d^2*e^3 + (B*b^2 + 10*A*b*c)*d*e^4)*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*(2*A*b*c^3*d^5 - 6*A*b^2*c^2*d^4*e + 6*A*b^3*c*d^3*e^2 - 2*A*b^4*d^2*e^3 - 2*(3*A*b^3*c*e^5 + (B*b*c^3 - 2*A*c^4)*d^3*e^2 + 3*(B*b^2*c^2 + A*b*c^3)*d^2*e^3 - (B*b^3*c + 7*A*b^2*c^2)*d*e^4)*x^3 - (6*A*b^4*e^5 + 4*(B*b*c^3 - 2*A*c^4)*d^4*e + (7*B*b^2*c^2 + 10*A*b*c^3)*d^3*e^2 + 3*(B*b^3*c - 5*A*b^2*c^2)*d^2*e^3 - (2*B*b^4 + 5*A*b^3*c)*d*e^4)*x^2 - (2*A*b*c^3*d^4*e + 9*A*b^4*d*e^4 + 2*(B*b*c^3 - 2*A*c^4)*d^5 + (7*B*b^3*c + 6*A*b^2*c^2)*d^3*e^2 - (3*B*b^4 + 19*A*b^3*c)*d^2*e^3)*x)/((b^2*c^4*d^6*e^2 - 3*b^3*c^3*d^5*e^3 + 3*b^4*c^2*d^4*e^4 - b^5*c*d^3*e^5)*x^4 + (2*b^2*c^4*d^7*e - 5*b^3*c^3*d^6*e^2 + 3*b^4*c^2*d^5*e^3 + b^5*c*d^4*e^4 - b^6*d^3*e^5)*x^3 + (b^2*c^4*d^8 - b^3*c^3*d^7*e - 3*b^4*c^2*d^6*e^2 + 5*b^5*c*d^5*e^3 - 2*b^6*d^4*e^4)*x^2 + (b^3*c^3*d^8 - 3*b^4*c^2*d^7*e + 3*b^5*c*d^6*e^2 - b^6*d^5*e^3)*x) - (3*A*b*e - (B*b - 2*A*c)*d)*log(x)/(b^3*d^4)","B",0
1154,1,513,0,0.801896," ","integrate((B*x+A)*(e*x+d)^5/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{B e^{5} x}{c^{3}} - \frac{A b^{3} c^{4} d^{5} - 2 \, {\left(10 \, A b^{2} c^{5} d^{3} e^{2} - 10 \, B b^{4} c^{3} d^{2} e^{3} - 3 \, {\left(B b c^{6} - 2 \, A c^{7}\right)} d^{5} + 5 \, {\left(B b^{2} c^{5} - 3 \, A b c^{6}\right)} d^{4} e + 5 \, {\left(2 \, B b^{5} c^{2} - A b^{4} c^{3}\right)} d e^{4} - {\left(3 \, B b^{6} c - 2 \, A b^{5} c^{2}\right)} e^{5}\right)} x^{3} + {\left(9 \, {\left(B b^{2} c^{5} - 2 \, A b c^{6}\right)} d^{5} - 15 \, {\left(B b^{3} c^{4} - 3 \, A b^{2} c^{5}\right)} d^{4} e + 10 \, {\left(B b^{4} c^{3} - 3 \, A b^{3} c^{4}\right)} d^{3} e^{2} + 10 \, {\left(B b^{5} c^{2} + A b^{4} c^{3}\right)} d^{2} e^{3} - 5 \, {\left(3 \, B b^{6} c - A b^{5} c^{2}\right)} d e^{4} + {\left(5 \, B b^{7} - 3 \, A b^{6} c\right)} e^{5}\right)} x^{2} + 2 \, {\left(5 \, A b^{3} c^{4} d^{4} e + {\left(B b^{3} c^{4} - 2 \, A b^{2} c^{5}\right)} d^{5}\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{{\left(10 \, A b^{2} d^{3} e^{2} - 3 \, {\left(B b c - 2 \, A c^{2}\right)} d^{5} + 5 \, {\left(B b^{2} - 3 \, A b c\right)} d^{4} e\right)} \log\left(x\right)}{b^{5}} - \frac{{\left(10 \, A b^{2} c^{4} d^{3} e^{2} - 5 \, B b^{5} c d e^{4} - 3 \, {\left(B b c^{5} - 2 \, A c^{6}\right)} d^{5} + 5 \, {\left(B b^{2} c^{4} - 3 \, A b c^{5}\right)} d^{4} e + {\left(3 \, B b^{6} - A b^{5} c\right)} e^{5}\right)} \log\left(c x + b\right)}{b^{5} c^{4}}"," ",0,"B*e^5*x/c^3 - 1/2*(A*b^3*c^4*d^5 - 2*(10*A*b^2*c^5*d^3*e^2 - 10*B*b^4*c^3*d^2*e^3 - 3*(B*b*c^6 - 2*A*c^7)*d^5 + 5*(B*b^2*c^5 - 3*A*b*c^6)*d^4*e + 5*(2*B*b^5*c^2 - A*b^4*c^3)*d*e^4 - (3*B*b^6*c - 2*A*b^5*c^2)*e^5)*x^3 + (9*(B*b^2*c^5 - 2*A*b*c^6)*d^5 - 15*(B*b^3*c^4 - 3*A*b^2*c^5)*d^4*e + 10*(B*b^4*c^3 - 3*A*b^3*c^4)*d^3*e^2 + 10*(B*b^5*c^2 + A*b^4*c^3)*d^2*e^3 - 5*(3*B*b^6*c - A*b^5*c^2)*d*e^4 + (5*B*b^7 - 3*A*b^6*c)*e^5)*x^2 + 2*(5*A*b^3*c^4*d^4*e + (B*b^3*c^4 - 2*A*b^2*c^5)*d^5)*x)/(b^4*c^6*x^4 + 2*b^5*c^5*x^3 + b^6*c^4*x^2) + (10*A*b^2*d^3*e^2 - 3*(B*b*c - 2*A*c^2)*d^5 + 5*(B*b^2 - 3*A*b*c)*d^4*e)*log(x)/b^5 - (10*A*b^2*c^4*d^3*e^2 - 5*B*b^5*c*d*e^4 - 3*(B*b*c^5 - 2*A*c^6)*d^5 + 5*(B*b^2*c^4 - 3*A*b*c^5)*d^4*e + (3*B*b^6 - A*b^5*c)*e^5)*log(c*x + b)/(b^5*c^4)","B",0
1155,1,430,0,0.596228," ","integrate((B*x+A)*(e*x+d)^4/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{A b^{3} c^{3} d^{4} - 2 \, {\left(6 \, A b^{2} c^{4} d^{2} e^{2} - 4 \, B b^{4} c^{2} d e^{3} - 3 \, {\left(B b c^{5} - 2 \, A c^{6}\right)} d^{4} + 4 \, {\left(B b^{2} c^{4} - 3 \, A b c^{5}\right)} d^{3} e + {\left(2 \, B b^{5} c - A b^{4} c^{2}\right)} e^{4}\right)} x^{3} + {\left(9 \, {\left(B b^{2} c^{4} - 2 \, A b c^{5}\right)} d^{4} - 12 \, {\left(B b^{3} c^{3} - 3 \, A b^{2} c^{4}\right)} d^{3} e + 6 \, {\left(B b^{4} c^{2} - 3 \, A b^{3} c^{3}\right)} d^{2} e^{2} + 4 \, {\left(B b^{5} c + A b^{4} c^{2}\right)} d e^{3} - {\left(3 \, B b^{6} - A b^{5} c\right)} e^{4}\right)} x^{2} + 2 \, {\left(4 \, A b^{3} c^{3} d^{3} e + {\left(B b^{3} c^{3} - 2 \, A b^{2} c^{4}\right)} d^{4}\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 \, A b^{2} d^{2} e^{2} - 3 \, {\left(B b c - 2 \, A c^{2}\right)} d^{4} + 4 \, {\left(B b^{2} - 3 \, A b c\right)} d^{3} e\right)} \log\left(x\right)}{b^{5}} - \frac{{\left(6 \, A b^{2} c^{3} d^{2} e^{2} - B b^{5} e^{4} - 3 \, {\left(B b c^{4} - 2 \, A c^{5}\right)} d^{4} + 4 \, {\left(B b^{2} c^{3} - 3 \, A b c^{4}\right)} d^{3} e\right)} \log\left(c x + b\right)}{b^{5} c^{3}}"," ",0,"-1/2*(A*b^3*c^3*d^4 - 2*(6*A*b^2*c^4*d^2*e^2 - 4*B*b^4*c^2*d*e^3 - 3*(B*b*c^5 - 2*A*c^6)*d^4 + 4*(B*b^2*c^4 - 3*A*b*c^5)*d^3*e + (2*B*b^5*c - A*b^4*c^2)*e^4)*x^3 + (9*(B*b^2*c^4 - 2*A*b*c^5)*d^4 - 12*(B*b^3*c^3 - 3*A*b^2*c^4)*d^3*e + 6*(B*b^4*c^2 - 3*A*b^3*c^3)*d^2*e^2 + 4*(B*b^5*c + A*b^4*c^2)*d*e^3 - (3*B*b^6 - A*b^5*c)*e^4)*x^2 + 2*(4*A*b^3*c^3*d^3*e + (B*b^3*c^3 - 2*A*b^2*c^4)*d^4)*x)/(b^4*c^5*x^4 + 2*b^5*c^4*x^3 + b^6*c^3*x^2) + (6*A*b^2*d^2*e^2 - 3*(B*b*c - 2*A*c^2)*d^4 + 4*(B*b^2 - 3*A*b*c)*d^3*e)*log(x)/b^5 - (6*A*b^2*c^3*d^2*e^2 - B*b^5*e^4 - 3*(B*b*c^4 - 2*A*c^5)*d^4 + 4*(B*b^2*c^3 - 3*A*b*c^4)*d^3*e)*log(c*x + b)/(b^5*c^3)","A",0
1156,1,347,0,0.549720," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{A b^{3} c^{2} d^{3} - 2 \, {\left(3 \, A b^{2} c^{3} d e^{2} - B b^{4} c e^{3} - 3 \, {\left(B b c^{4} - 2 \, A c^{5}\right)} d^{3} + 3 \, {\left(B b^{2} c^{3} - 3 \, A b c^{4}\right)} d^{2} e\right)} x^{3} + {\left(9 \, {\left(B b^{2} c^{3} - 2 \, A b c^{4}\right)} d^{3} - 9 \, {\left(B b^{3} c^{2} - 3 \, A b^{2} c^{3}\right)} d^{2} e + 3 \, {\left(B b^{4} c - 3 \, A b^{3} c^{2}\right)} d e^{2} + {\left(B b^{5} + A b^{4} c\right)} e^{3}\right)} x^{2} + 2 \, {\left(3 \, A b^{3} c^{2} d^{2} e + {\left(B b^{3} c^{2} - 2 \, A b^{2} c^{3}\right)} d^{3}\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{3 \, {\left(A b^{2} d e^{2} - {\left(B b c - 2 \, A c^{2}\right)} d^{3} + {\left(B b^{2} - 3 \, A b c\right)} d^{2} e\right)} \log\left(c x + b\right)}{b^{5}} + \frac{3 \, {\left(A b^{2} d e^{2} - {\left(B b c - 2 \, A c^{2}\right)} d^{3} + {\left(B b^{2} - 3 \, A b c\right)} d^{2} e\right)} \log\left(x\right)}{b^{5}}"," ",0,"-1/2*(A*b^3*c^2*d^3 - 2*(3*A*b^2*c^3*d*e^2 - B*b^4*c*e^3 - 3*(B*b*c^4 - 2*A*c^5)*d^3 + 3*(B*b^2*c^3 - 3*A*b*c^4)*d^2*e)*x^3 + (9*(B*b^2*c^3 - 2*A*b*c^4)*d^3 - 9*(B*b^3*c^2 - 3*A*b^2*c^3)*d^2*e + 3*(B*b^4*c - 3*A*b^3*c^2)*d*e^2 + (B*b^5 + A*b^4*c)*e^3)*x^2 + 2*(3*A*b^3*c^2*d^2*e + (B*b^3*c^2 - 2*A*b^2*c^3)*d^3)*x)/(b^4*c^4*x^4 + 2*b^5*c^3*x^3 + b^6*c^2*x^2) - 3*(A*b^2*d*e^2 - (B*b*c - 2*A*c^2)*d^3 + (B*b^2 - 3*A*b*c)*d^2*e)*log(c*x + b)/b^5 + 3*(A*b^2*d*e^2 - (B*b*c - 2*A*c^2)*d^3 + (B*b^2 - 3*A*b*c)*d^2*e)*log(x)/b^5","A",0
1157,1,293,0,0.589977," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{A b^{3} c d^{2} - 2 \, {\left(A b^{2} c^{2} e^{2} - 3 \, {\left(B b c^{3} - 2 \, A c^{4}\right)} d^{2} + 2 \, {\left(B b^{2} c^{2} - 3 \, A b c^{3}\right)} d e\right)} x^{3} + {\left(9 \, {\left(B b^{2} c^{2} - 2 \, A b c^{3}\right)} d^{2} - 6 \, {\left(B b^{3} c - 3 \, A b^{2} c^{2}\right)} d e + {\left(B b^{4} - 3 \, A b^{3} c\right)} e^{2}\right)} x^{2} + 2 \, {\left(2 \, A b^{3} c d e + {\left(B b^{3} c - 2 \, A b^{2} c^{2}\right)} d^{2}\right)} x}{2 \, {\left(b^{4} c^{3} x^{4} + 2 \, b^{5} c^{2} x^{3} + b^{6} c x^{2}\right)}} - \frac{{\left(A b^{2} e^{2} - 3 \, {\left(B b c - 2 \, A c^{2}\right)} d^{2} + 2 \, {\left(B b^{2} - 3 \, A b c\right)} d e\right)} \log\left(c x + b\right)}{b^{5}} + \frac{{\left(A b^{2} e^{2} - 3 \, {\left(B b c - 2 \, A c^{2}\right)} d^{2} + 2 \, {\left(B b^{2} - 3 \, A b c\right)} d e\right)} \log\left(x\right)}{b^{5}}"," ",0,"-1/2*(A*b^3*c*d^2 - 2*(A*b^2*c^2*e^2 - 3*(B*b*c^3 - 2*A*c^4)*d^2 + 2*(B*b^2*c^2 - 3*A*b*c^3)*d*e)*x^3 + (9*(B*b^2*c^2 - 2*A*b*c^3)*d^2 - 6*(B*b^3*c - 3*A*b^2*c^2)*d*e + (B*b^4 - 3*A*b^3*c)*e^2)*x^2 + 2*(2*A*b^3*c*d*e + (B*b^3*c - 2*A*b^2*c^2)*d^2)*x)/(b^4*c^3*x^4 + 2*b^5*c^2*x^3 + b^6*c*x^2) - (A*b^2*e^2 - 3*(B*b*c - 2*A*c^2)*d^2 + 2*(B*b^2 - 3*A*b*c)*d*e)*log(c*x + b)/b^5 + (A*b^2*e^2 - 3*(B*b*c - 2*A*c^2)*d^2 + 2*(B*b^2 - 3*A*b*c)*d*e)*log(x)/b^5","A",0
1158,1,217,0,0.499360," ","integrate((B*x+A)*(e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{A b^{3} d + 2 \, {\left(3 \, {\left(B b c^{2} - 2 \, A c^{3}\right)} d - {\left(B b^{2} c - 3 \, A b c^{2}\right)} e\right)} x^{3} + 3 \, {\left(3 \, {\left(B b^{2} c - 2 \, A b c^{2}\right)} d - {\left(B b^{3} - 3 \, A b^{2} c\right)} e\right)} x^{2} + 2 \, {\left(A b^{3} e + {\left(B b^{3} - 2 \, A b^{2} c\right)} d\right)} x}{2 \, {\left(b^{4} c^{2} x^{4} + 2 \, b^{5} c x^{3} + b^{6} x^{2}\right)}} + \frac{{\left(3 \, {\left(B b c - 2 \, A c^{2}\right)} d - {\left(B b^{2} - 3 \, A b c\right)} e\right)} \log\left(c x + b\right)}{b^{5}} - \frac{{\left(3 \, {\left(B b c - 2 \, A c^{2}\right)} d - {\left(B b^{2} - 3 \, A b c\right)} e\right)} \log\left(x\right)}{b^{5}}"," ",0,"-1/2*(A*b^3*d + 2*(3*(B*b*c^2 - 2*A*c^3)*d - (B*b^2*c - 3*A*b*c^2)*e)*x^3 + 3*(3*(B*b^2*c - 2*A*b*c^2)*d - (B*b^3 - 3*A*b^2*c)*e)*x^2 + 2*(A*b^3*e + (B*b^3 - 2*A*b^2*c)*d)*x)/(b^4*c^2*x^4 + 2*b^5*c*x^3 + b^6*x^2) + (3*(B*b*c - 2*A*c^2)*d - (B*b^2 - 3*A*b*c)*e)*log(c*x + b)/b^5 - (3*(B*b*c - 2*A*c^2)*d - (B*b^2 - 3*A*b*c)*e)*log(x)/b^5","A",0
1159,1,131,0,0.510216," ","integrate((B*x+A)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","-\frac{A b^{3} + 6 \, {\left(B b c^{2} - 2 \, A c^{3}\right)} x^{3} + 9 \, {\left(B b^{2} c - 2 \, A b c^{2}\right)} x^{2} + 2 \, {\left(B b^{3} - 2 \, A b^{2} c\right)} x}{2 \, {\left(b^{4} c^{2} x^{4} + 2 \, b^{5} c x^{3} + b^{6} x^{2}\right)}} + \frac{3 \, {\left(B b c - 2 \, A c^{2}\right)} \log\left(c x + b\right)}{b^{5}} - \frac{3 \, {\left(B b c - 2 \, A c^{2}\right)} \log\left(x\right)}{b^{5}}"," ",0,"-1/2*(A*b^3 + 6*(B*b*c^2 - 2*A*c^3)*x^3 + 9*(B*b^2*c - 2*A*b*c^2)*x^2 + 2*(B*b^3 - 2*A*b^2*c)*x)/(b^4*c^2*x^4 + 2*b^5*c*x^3 + b^6*x^2) + 3*(B*b*c - 2*A*c^2)*log(c*x + b)/b^5 - 3*(B*b*c - 2*A*c^2)*log(x)/b^5","A",0
1160,1,612,0,0.707696," ","integrate((B*x+A)/(e*x+d)/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(B b c^{4} - 2 \, A c^{5}\right)} d^{2} - {\left(8 \, B b^{2} c^{3} - 15 \, A b c^{4}\right)} d e + 2 \, {\left(3 \, B b^{3} c^{2} - 5 \, A b^{2} c^{3}\right)} 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{{\left(B d e^{4} - A e^{5}\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{A b^{3} c^{2} d^{3} - 2 \, A b^{4} c d^{2} e + A b^{5} d e^{2} - 2 \, {\left(A b^{3} c^{2} e^{3} - 3 \, {\left(B b c^{4} - 2 \, A c^{5}\right)} d^{3} + {\left(5 \, B b^{2} c^{3} - 9 \, A b c^{4}\right)} d^{2} e - {\left(B b^{3} c^{2} - A b^{2} c^{3}\right)} d e^{2}\right)} x^{3} - {\left(4 \, A b^{4} c e^{3} - 9 \, {\left(B b^{2} c^{3} - 2 \, A b c^{4}\right)} d^{3} + 3 \, {\left(5 \, B b^{3} c^{2} - 9 \, A b^{2} c^{3}\right)} d^{2} e - {\left(4 \, B b^{4} c - 3 \, A b^{3} c^{2}\right)} d e^{2}\right)} x^{2} + 2 \, {\left(B b^{5} d e^{2} - A b^{5} e^{3} + {\left(B b^{3} c^{2} - 2 \, A b^{2} c^{3}\right)} d^{3} - {\left(2 \, B b^{4} c - 3 \, A b^{3} c^{2}\right)} d^{2} e\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(A b^{2} e^{2} - 3 \, {\left(B b c - 2 \, A c^{2}\right)} d^{2} - {\left(B b^{2} - 3 \, A b c\right)} d e\right)} \log\left(x\right)}{b^{5} d^{3}}"," ",0,"(3*(B*b*c^4 - 2*A*c^5)*d^2 - (8*B*b^2*c^3 - 15*A*b*c^4)*d*e + 2*(3*B*b^3*c^2 - 5*A*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) - (B*d*e^4 - A*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) - 1/2*(A*b^3*c^2*d^3 - 2*A*b^4*c*d^2*e + A*b^5*d*e^2 - 2*(A*b^3*c^2*e^3 - 3*(B*b*c^4 - 2*A*c^5)*d^3 + (5*B*b^2*c^3 - 9*A*b*c^4)*d^2*e - (B*b^3*c^2 - A*b^2*c^3)*d*e^2)*x^3 - (4*A*b^4*c*e^3 - 9*(B*b^2*c^3 - 2*A*b*c^4)*d^3 + 3*(5*B*b^3*c^2 - 9*A*b^2*c^3)*d^2*e - (4*B*b^4*c - 3*A*b^3*c^2)*d*e^2)*x^2 + 2*(B*b^5*d*e^2 - A*b^5*e^3 + (B*b^3*c^2 - 2*A*b^2*c^3)*d^3 - (2*B*b^4*c - 3*A*b^3*c^2)*d^2*e)*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) + (A*b^2*e^2 - 3*(B*b*c - 2*A*c^2)*d^2 - (B*b^2 - 3*A*b*c)*d*e)*log(x)/(b^5*d^3)","B",0
1161,1,1043,0,0.908974," ","integrate((B*x+A)/(e*x+d)^2/(c*x^2+b*x)^3,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(B b c^{5} - 2 \, A c^{6}\right)} d^{2} - 2 \, {\left(5 \, B b^{2} c^{4} - 9 \, A b c^{5}\right)} d e + 5 \, {\left(2 \, B b^{3} c^{3} - 3 \, A b^{2} c^{4}\right)} 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{{\left(5 \, B c d^{2} e^{4} + 3 \, A b e^{6} - 2 \, {\left(B b + 3 \, A c\right)} d e^{5}\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{A b^{3} c^{3} d^{5} - 3 \, A b^{4} c^{2} d^{4} e + 3 \, A b^{5} c d^{3} e^{2} - A b^{6} d^{2} e^{3} + 2 \, {\left(3 \, A b^{4} c^{2} e^{5} + 3 \, {\left(B b c^{5} - 2 \, A c^{6}\right)} d^{4} e - {\left(7 \, B b^{2} c^{4} - 12 \, A b c^{5}\right)} d^{3} e^{2} + 3 \, {\left(B b^{3} c^{3} - A b^{2} c^{4}\right)} d^{2} e^{3} - {\left(2 \, B b^{4} c^{2} + 3 \, A b^{3} c^{3}\right)} d e^{4}\right)} x^{4} + {\left(12 \, A b^{5} c e^{5} + 6 \, {\left(B b c^{5} - 2 \, A c^{6}\right)} d^{5} - {\left(5 \, B b^{2} c^{4} - 6 \, A b c^{5}\right)} d^{4} e - 15 \, {\left(B b^{3} c^{3} - 2 \, A b^{2} c^{4}\right)} d^{3} e^{2} + 5 \, {\left(2 \, B b^{4} c^{2} - 3 \, A b^{3} c^{3}\right)} d^{2} e^{3} - {\left(8 \, B b^{5} c + 9 \, A b^{4} c^{2}\right)} d e^{4}\right)} x^{3} - {\left(4 \, B b^{6} d e^{4} - 6 \, A b^{6} e^{5} - 9 \, {\left(B b^{2} c^{4} - 2 \, A b c^{5}\right)} d^{5} + {\left(19 \, B b^{3} c^{3} - 32 \, A b^{2} c^{4}\right)} d^{4} e - {\left(6 \, B b^{4} c^{2} - A b^{3} c^{3}\right)} d^{3} e^{2} - {\left(2 \, B b^{5} c - 13 \, A b^{4} c^{2}\right)} d^{2} e^{3}\right)} x^{2} + {\left(3 \, A b^{6} d e^{4} + 2 \, {\left(B b^{3} c^{3} - 2 \, A b^{2} c^{4}\right)} d^{5} - 3 \, {\left(2 \, B b^{4} c^{2} - 3 \, A b^{3} c^{3}\right)} d^{4} e + 3 \, {\left(2 \, B b^{5} c - A b^{4} c^{2}\right)} d^{3} e^{2} - {\left(2 \, B b^{6} + 5 \, A b^{5} c\right)} d^{2} e^{3}\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{{\left(3 \, A b^{2} e^{2} - 3 \, {\left(B b c - 2 \, A c^{2}\right)} d^{2} - 2 \, {\left(B b^{2} - 3 \, A b c\right)} d e\right)} \log\left(x\right)}{b^{5} d^{4}}"," ",0,"(3*(B*b*c^5 - 2*A*c^6)*d^2 - 2*(5*B*b^2*c^4 - 9*A*b*c^5)*d*e + 5*(2*B*b^3*c^3 - 3*A*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) - (5*B*c*d^2*e^4 + 3*A*b*e^6 - 2*(B*b + 3*A*c)*d*e^5)*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*(A*b^3*c^3*d^5 - 3*A*b^4*c^2*d^4*e + 3*A*b^5*c*d^3*e^2 - A*b^6*d^2*e^3 + 2*(3*A*b^4*c^2*e^5 + 3*(B*b*c^5 - 2*A*c^6)*d^4*e - (7*B*b^2*c^4 - 12*A*b*c^5)*d^3*e^2 + 3*(B*b^3*c^3 - A*b^2*c^4)*d^2*e^3 - (2*B*b^4*c^2 + 3*A*b^3*c^3)*d*e^4)*x^4 + (12*A*b^5*c*e^5 + 6*(B*b*c^5 - 2*A*c^6)*d^5 - (5*B*b^2*c^4 - 6*A*b*c^5)*d^4*e - 15*(B*b^3*c^3 - 2*A*b^2*c^4)*d^3*e^2 + 5*(2*B*b^4*c^2 - 3*A*b^3*c^3)*d^2*e^3 - (8*B*b^5*c + 9*A*b^4*c^2)*d*e^4)*x^3 - (4*B*b^6*d*e^4 - 6*A*b^6*e^5 - 9*(B*b^2*c^4 - 2*A*b*c^5)*d^5 + (19*B*b^3*c^3 - 32*A*b^2*c^4)*d^4*e - (6*B*b^4*c^2 - A*b^3*c^3)*d^3*e^2 - (2*B*b^5*c - 13*A*b^4*c^2)*d^2*e^3)*x^2 + (3*A*b^6*d*e^4 + 2*(B*b^3*c^3 - 2*A*b^2*c^4)*d^5 - 3*(2*B*b^4*c^2 - 3*A*b^3*c^3)*d^4*e + 3*(2*B*b^5*c - A*b^4*c^2)*d^3*e^2 - (2*B*b^6 + 5*A*b^5*c)*d^2*e^3)*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*A*b^2*e^2 - 3*(B*b*c - 2*A*c^2)*d^2 - 2*(B*b^2 - 3*A*b*c)*d*e)*log(x)/(b^5*d^4)","B",0
1162,1,760,0,0.763106," ","integrate((B*x+A)*(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}} B e^{3} x^{3}}{6 \, c} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b e^{3} x^{2}}{20 \, c^{2}} + \frac{1}{2} \, \sqrt{c x^{2} + b x} A d^{3} x + \frac{21 \, \sqrt{c x^{2} + b x} B b^{4} e^{3} x}{256 \, c^{4}} + \frac{21 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2} e^{3} x}{160 \, c^{3}} - \frac{A 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{21 \, B b^{6} e^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{11}{2}}} + \frac{\sqrt{c x^{2} + b x} A b d^{3}}{4 \, c} + \frac{21 \, \sqrt{c x^{2} + b x} B b^{5} e^{3}}{512 \, c^{5}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{3} e^{3}}{64 \, c^{4}} + \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} x^{2}}{5 \, c} - \frac{7 \, {\left(3 \, B d e^{2} + A e^{3}\right)} \sqrt{c x^{2} + b x} b^{3} x}{64 \, c^{3}} - \frac{7 \, {\left(3 \, B d e^{2} + A e^{3}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b x}{40 \, c^{2}} + \frac{15 \, {\left(B d^{2} e + A d e^{2}\right)} \sqrt{c x^{2} + b x} b^{2} x}{32 \, c^{2}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} x}{4 \, c} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} \sqrt{c x^{2} + b x} b x}{4 \, c} + \frac{7 \, {\left(3 \, B d e^{2} + A e^{3}\right)} b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{9}{2}}} - \frac{15 \, {\left(B d^{2} e + A d e^{2}\right)} b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{7}{2}}} + \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{5}{2}}} - \frac{7 \, {\left(3 \, B d e^{2} + A e^{3}\right)} \sqrt{c x^{2} + b x} b^{4}}{128 \, c^{4}} + \frac{7 \, {\left(3 \, B d e^{2} + A e^{3}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}}{48 \, c^{3}} + \frac{15 \, {\left(B d^{2} e + A d e^{2}\right)} \sqrt{c x^{2} + b x} b^{3}}{64 \, c^{3}} - \frac{5 \, {\left(B d^{2} e + A d e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b}{8 \, c^{2}} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} \sqrt{c x^{2} + b x} b^{2}}{8 \, c^{2}} + \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{3 \, c}"," ",0,"1/6*(c*x^2 + b*x)^(3/2)*B*e^3*x^3/c - 3/20*(c*x^2 + b*x)^(3/2)*B*b*e^3*x^2/c^2 + 1/2*sqrt(c*x^2 + b*x)*A*d^3*x + 21/256*sqrt(c*x^2 + b*x)*B*b^4*e^3*x/c^4 + 21/160*(c*x^2 + b*x)^(3/2)*B*b^2*e^3*x/c^3 - 1/8*A*b^2*d^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) - 21/1024*B*b^6*e^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) + 1/4*sqrt(c*x^2 + b*x)*A*b*d^3/c + 21/512*sqrt(c*x^2 + b*x)*B*b^5*e^3/c^5 - 7/64*(c*x^2 + b*x)^(3/2)*B*b^3*e^3/c^4 + 1/5*(3*B*d*e^2 + A*e^3)*(c*x^2 + b*x)^(3/2)*x^2/c - 7/64*(3*B*d*e^2 + A*e^3)*sqrt(c*x^2 + b*x)*b^3*x/c^3 - 7/40*(3*B*d*e^2 + A*e^3)*(c*x^2 + b*x)^(3/2)*b*x/c^2 + 15/32*(B*d^2*e + A*d*e^2)*sqrt(c*x^2 + b*x)*b^2*x/c^2 + 3/4*(B*d^2*e + A*d*e^2)*(c*x^2 + b*x)^(3/2)*x/c - 1/4*(B*d^3 + 3*A*d^2*e)*sqrt(c*x^2 + b*x)*b*x/c + 7/256*(3*B*d*e^2 + A*e^3)*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 15/128*(B*d^2*e + A*d*e^2)*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 1/16*(B*d^3 + 3*A*d^2*e)*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 7/128*(3*B*d*e^2 + A*e^3)*sqrt(c*x^2 + b*x)*b^4/c^4 + 7/48*(3*B*d*e^2 + A*e^3)*(c*x^2 + b*x)^(3/2)*b^2/c^3 + 15/64*(B*d^2*e + A*d*e^2)*sqrt(c*x^2 + b*x)*b^3/c^3 - 5/8*(B*d^2*e + A*d*e^2)*(c*x^2 + b*x)^(3/2)*b/c^2 - 1/8*(B*d^3 + 3*A*d^2*e)*sqrt(c*x^2 + b*x)*b^2/c^2 + 1/3*(B*d^3 + 3*A*d^2*e)*(c*x^2 + b*x)^(3/2)/c","A",0
1163,1,512,0,0.613677," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B e^{2} x^{2}}{5 \, c} + \frac{1}{2} \, \sqrt{c x^{2} + b x} A d^{2} x - \frac{7 \, \sqrt{c x^{2} + b x} B b^{3} e^{2} x}{64 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b e^{2} x}{40 \, c^{2}} - \frac{A 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{7 \, B b^{5} e^{2} \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} A b d^{2}}{4 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} B b^{4} e^{2}}{128 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2} e^{2}}{48 \, c^{3}} + \frac{5 \, {\left(2 \, B d e + A e^{2}\right)} \sqrt{c x^{2} + b x} b^{2} x}{32 \, c^{2}} + \frac{{\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} x}{4 \, c} - \frac{{\left(B d^{2} + 2 \, A d e\right)} \sqrt{c x^{2} + b x} b x}{4 \, c} - \frac{5 \, {\left(2 \, B d e + A e^{2}\right)} b^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{128 \, c^{\frac{7}{2}}} + \frac{{\left(B d^{2} + 2 \, A d e\right)} b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{5}{2}}} + \frac{5 \, {\left(2 \, B d e + A e^{2}\right)} \sqrt{c x^{2} + b x} b^{3}}{64 \, c^{3}} - \frac{5 \, {\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b}{24 \, c^{2}} - \frac{{\left(B d^{2} + 2 \, A d e\right)} \sqrt{c x^{2} + b x} b^{2}}{8 \, c^{2}} + \frac{{\left(B d^{2} + 2 \, A d e\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}}}{3 \, c}"," ",0,"1/5*(c*x^2 + b*x)^(3/2)*B*e^2*x^2/c + 1/2*sqrt(c*x^2 + b*x)*A*d^2*x - 7/64*sqrt(c*x^2 + b*x)*B*b^3*e^2*x/c^3 - 7/40*(c*x^2 + b*x)^(3/2)*B*b*e^2*x/c^2 - 1/8*A*b^2*d^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 7/256*B*b^5*e^2*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)*A*b*d^2/c - 7/128*sqrt(c*x^2 + b*x)*B*b^4*e^2/c^4 + 7/48*(c*x^2 + b*x)^(3/2)*B*b^2*e^2/c^3 + 5/32*(2*B*d*e + A*e^2)*sqrt(c*x^2 + b*x)*b^2*x/c^2 + 1/4*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(3/2)*x/c - 1/4*(B*d^2 + 2*A*d*e)*sqrt(c*x^2 + b*x)*b*x/c - 5/128*(2*B*d*e + A*e^2)*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 1/16*(B*d^2 + 2*A*d*e)*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 5/64*(2*B*d*e + A*e^2)*sqrt(c*x^2 + b*x)*b^3/c^3 - 5/24*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(3/2)*b/c^2 - 1/8*(B*d^2 + 2*A*d*e)*sqrt(c*x^2 + b*x)*b^2/c^2 + 1/3*(B*d^2 + 2*A*d*e)*(c*x^2 + b*x)^(3/2)/c","B",0
1164,1,295,0,0.536830," ","integrate((B*x+A)*(e*x+d)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + b x} A d x + \frac{5 \, \sqrt{c x^{2} + b x} B b^{2} e x}{32 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B e x}{4 \, c} - \frac{A 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{5 \, B b^{4} e \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} A b d}{4 \, c} + \frac{5 \, \sqrt{c x^{2} + b x} B b^{3} e}{64 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b e}{24 \, c^{2}} - \frac{\sqrt{c x^{2} + b x} {\left(B d + A e\right)} b x}{4 \, c} + \frac{{\left(B d + A e\right)} 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} {\left(B d + A e\right)} b^{2}}{8 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(B d + A e\right)}}{3 \, c}"," ",0,"1/2*sqrt(c*x^2 + b*x)*A*d*x + 5/32*sqrt(c*x^2 + b*x)*B*b^2*e*x/c^2 + 1/4*(c*x^2 + b*x)^(3/2)*B*e*x/c - 1/8*A*b^2*d*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) - 5/128*B*b^4*e*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)*A*b*d/c + 5/64*sqrt(c*x^2 + b*x)*B*b^3*e/c^3 - 5/24*(c*x^2 + b*x)^(3/2)*B*b*e/c^2 - 1/4*sqrt(c*x^2 + b*x)*(B*d + A*e)*b*x/c + 1/16*(B*d + A*e)*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*d + A*e)*b^2/c^2 + 1/3*(c*x^2 + b*x)^(3/2)*(B*d + A*e)/c","B",0
1165,1,154,0,0.561178," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + b x} A x - \frac{\sqrt{c x^{2} + b x} B b x}{4 \, c} + \frac{B b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{5}{2}}} - \frac{A 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 b^{2}}{8 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B}{3 \, c} + \frac{\sqrt{c x^{2} + b x} A b}{4 \, c}"," ",0,"1/2*sqrt(c*x^2 + b*x)*A*x - 1/4*sqrt(c*x^2 + b*x)*B*b*x/c + 1/16*B*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 1/8*A*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) - 1/8*sqrt(c*x^2 + b*x)*B*b^2/c^2 + 1/3*(c*x^2 + b*x)^(3/2)*B/c + 1/4*sqrt(c*x^2 + b*x)*A*b/c","A",0
1166,-2,0,0,0.000000," ","integrate((B*x+A)*(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-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
1167,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1168,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1169,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1170,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1171,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1172,1,728,0,0.598406," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B e^{2} x^{2}}{7 \, c} + \frac{1}{4} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A d^{2} x - \frac{3 \, \sqrt{c x^{2} + b x} A b^{2} d^{2} x}{32 \, c} + \frac{9 \, \sqrt{c x^{2} + b x} B b^{5} e^{2} x}{512 \, c^{4}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{3} e^{2} x}{64 \, c^{3}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b e^{2} x}{28 \, c^{2}} + \frac{3 \, A 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{9 \, B b^{7} e^{2} \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} A b^{3} d^{2}}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b d^{2}}{8 \, c} + \frac{9 \, \sqrt{c x^{2} + b x} B b^{6} e^{2}}{1024 \, c^{5}} - \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{4} e^{2}}{128 \, c^{4}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{2} e^{2}}{40 \, c^{3}} - \frac{7 \, {\left(2 \, B d e + A e^{2}\right)} \sqrt{c x^{2} + b x} b^{4} x}{256 \, c^{3}} + \frac{7 \, {\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2} x}{96 \, c^{2}} + \frac{3 \, {\left(B d^{2} + 2 \, A d e\right)} \sqrt{c x^{2} + b x} b^{3} x}{64 \, c^{2}} + \frac{{\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{5}{2}} x}{6 \, c} - \frac{{\left(B d^{2} + 2 \, A d e\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b x}{8 \, c} + \frac{7 \, {\left(2 \, B d e + A e^{2}\right)} b^{6} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{1024 \, c^{\frac{9}{2}}} - \frac{3 \, {\left(B d^{2} + 2 \, A d e\right)} b^{5} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{256 \, c^{\frac{7}{2}}} - \frac{7 \, {\left(2 \, B d e + A e^{2}\right)} \sqrt{c x^{2} + b x} b^{5}}{512 \, c^{4}} + \frac{7 \, {\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}}{192 \, c^{3}} + \frac{3 \, {\left(B d^{2} + 2 \, A d e\right)} \sqrt{c x^{2} + b x} b^{4}}{128 \, c^{3}} - \frac{7 \, {\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b}{60 \, c^{2}} - \frac{{\left(B d^{2} + 2 \, A d e\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}}{16 \, c^{2}} + \frac{{\left(B d^{2} + 2 \, A d e\right)} {\left(c x^{2} + b x\right)}^{\frac{5}{2}}}{5 \, c}"," ",0,"1/7*(c*x^2 + b*x)^(5/2)*B*e^2*x^2/c + 1/4*(c*x^2 + b*x)^(3/2)*A*d^2*x - 3/32*sqrt(c*x^2 + b*x)*A*b^2*d^2*x/c + 9/512*sqrt(c*x^2 + b*x)*B*b^5*e^2*x/c^4 - 3/64*(c*x^2 + b*x)^(3/2)*B*b^3*e^2*x/c^3 - 3/28*(c*x^2 + b*x)^(5/2)*B*b*e^2*x/c^2 + 3/128*A*b^4*d^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 9/2048*B*b^7*e^2*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)*A*b^3*d^2/c^2 + 1/8*(c*x^2 + b*x)^(3/2)*A*b*d^2/c + 9/1024*sqrt(c*x^2 + b*x)*B*b^6*e^2/c^5 - 3/128*(c*x^2 + b*x)^(3/2)*B*b^4*e^2/c^4 + 3/40*(c*x^2 + b*x)^(5/2)*B*b^2*e^2/c^3 - 7/256*(2*B*d*e + A*e^2)*sqrt(c*x^2 + b*x)*b^4*x/c^3 + 7/96*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(3/2)*b^2*x/c^2 + 3/64*(B*d^2 + 2*A*d*e)*sqrt(c*x^2 + b*x)*b^3*x/c^2 + 1/6*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(5/2)*x/c - 1/8*(B*d^2 + 2*A*d*e)*(c*x^2 + b*x)^(3/2)*b*x/c + 7/1024*(2*B*d*e + A*e^2)*b^6*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 3/256*(B*d^2 + 2*A*d*e)*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 7/512*(2*B*d*e + A*e^2)*sqrt(c*x^2 + b*x)*b^5/c^4 + 7/192*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(3/2)*b^3/c^3 + 3/128*(B*d^2 + 2*A*d*e)*sqrt(c*x^2 + b*x)*b^4/c^3 - 7/60*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(5/2)*b/c^2 - 1/16*(B*d^2 + 2*A*d*e)*(c*x^2 + b*x)^(3/2)*b^2/c^2 + 1/5*(B*d^2 + 2*A*d*e)*(c*x^2 + b*x)^(5/2)/c","B",0
1173,1,434,0,0.538254," ","integrate((B*x+A)*(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}} A d x - \frac{3 \, \sqrt{c x^{2} + b x} A b^{2} d x}{32 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} B b^{4} e x}{256 \, c^{3}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2} e x}{96 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B e x}{6 \, c} + \frac{3 \, A 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{7 \, B b^{6} e \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} A b^{3} d}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b d}{8 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} B b^{5} e}{512 \, c^{4}} + \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{3} e}{192 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b e}{60 \, c^{2}} + \frac{3 \, \sqrt{c x^{2} + b x} {\left(B d + A e\right)} b^{3} x}{64 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(B d + A e\right)} b x}{8 \, c} - \frac{3 \, {\left(B d + A e\right)} 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} {\left(B d + A e\right)} b^{4}}{128 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(B d + A e\right)} b^{2}}{16 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} {\left(B d + A e\right)}}{5 \, c}"," ",0,"1/4*(c*x^2 + b*x)^(3/2)*A*d*x - 3/32*sqrt(c*x^2 + b*x)*A*b^2*d*x/c - 7/256*sqrt(c*x^2 + b*x)*B*b^4*e*x/c^3 + 7/96*(c*x^2 + b*x)^(3/2)*B*b^2*e*x/c^2 + 1/6*(c*x^2 + b*x)^(5/2)*B*e*x/c + 3/128*A*b^4*d*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 7/1024*B*b^6*e*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)*A*b^3*d/c^2 + 1/8*(c*x^2 + b*x)^(3/2)*A*b*d/c - 7/512*sqrt(c*x^2 + b*x)*B*b^5*e/c^4 + 7/192*(c*x^2 + b*x)^(3/2)*B*b^3*e/c^3 - 7/60*(c*x^2 + b*x)^(5/2)*B*b*e/c^2 + 3/64*sqrt(c*x^2 + b*x)*(B*d + A*e)*b^3*x/c^2 - 1/8*(c*x^2 + b*x)^(3/2)*(B*d + A*e)*b*x/c - 3/256*(B*d + A*e)*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*d + A*e)*b^4/c^3 - 1/16*(c*x^2 + b*x)^(3/2)*(B*d + A*e)*b^2/c^2 + 1/5*(c*x^2 + b*x)^(5/2)*(B*d + A*e)/c","B",0
1174,1,236,0,0.549706," ","integrate((B*x+A)*(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A x + \frac{3 \, \sqrt{c x^{2} + b x} B b^{3} x}{64 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b x}{8 \, c} - \frac{3 \, \sqrt{c x^{2} + b x} A b^{2} x}{32 \, c} - \frac{3 \, B 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 \, A 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 b^{4}}{128 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{2}}{16 \, c^{2}} - \frac{3 \, \sqrt{c x^{2} + b x} A b^{3}}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B}{5 \, c} + \frac{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b}{8 \, c}"," ",0,"1/4*(c*x^2 + b*x)^(3/2)*A*x + 3/64*sqrt(c*x^2 + b*x)*B*b^3*x/c^2 - 1/8*(c*x^2 + b*x)^(3/2)*B*b*x/c - 3/32*sqrt(c*x^2 + b*x)*A*b^2*x/c - 3/256*B*b^5*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 3/128*A*b^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 3/128*sqrt(c*x^2 + b*x)*B*b^4/c^3 - 1/16*(c*x^2 + b*x)^(3/2)*B*b^2/c^2 - 3/64*sqrt(c*x^2 + b*x)*A*b^3/c^2 + 1/5*(c*x^2 + b*x)^(5/2)*B/c + 1/8*(c*x^2 + b*x)^(3/2)*A*b/c","B",0
1175,-2,0,0,0.000000," ","integrate((B*x+A)*(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-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
1176,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1177,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1178,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(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(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
1179,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(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(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
1180,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(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(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
1181,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(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(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
1182,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(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(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
1183,1,944,0,0.597798," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} B e^{2} x^{2}}{9 \, c} + \frac{1}{6} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A d^{2} x + \frac{5 \, \sqrt{c x^{2} + b x} A b^{4} d^{2} x}{256 \, c^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{2} d^{2} x}{96 \, c} - \frac{55 \, \sqrt{c x^{2} + b x} B b^{7} e^{2} x}{16384 \, c^{5}} + \frac{55 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{5} e^{2} x}{6144 \, c^{4}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{3} e^{2} x}{384 \, c^{3}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} B b e^{2} x}{144 \, c^{2}} - \frac{5 \, A 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{55 \, B b^{9} e^{2} \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} A b^{5} d^{2}}{512 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{3} d^{2}}{192 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b d^{2}}{12 \, c} - \frac{55 \, \sqrt{c x^{2} + b x} B b^{8} e^{2}}{32768 \, c^{6}} + \frac{55 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{6} e^{2}}{12288 \, c^{5}} - \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{4} e^{2}}{768 \, c^{4}} + \frac{11 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} B b^{2} e^{2}}{224 \, c^{3}} + \frac{45 \, {\left(2 \, B d e + A e^{2}\right)} \sqrt{c x^{2} + b x} b^{6} x}{8192 \, c^{4}} - \frac{15 \, {\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4} x}{1024 \, c^{3}} - \frac{5 \, {\left(B d^{2} + 2 \, A d e\right)} \sqrt{c x^{2} + b x} b^{5} x}{512 \, c^{3}} + \frac{3 \, {\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2} x}{64 \, c^{2}} + \frac{5 \, {\left(B d^{2} + 2 \, A d e\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3} x}{192 \, c^{2}} + \frac{{\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{7}{2}} x}{8 \, c} - \frac{{\left(B d^{2} + 2 \, A d e\right)} {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b x}{12 \, c} - \frac{45 \, {\left(2 \, B d e + A e^{2}\right)} b^{8} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{32768 \, c^{\frac{11}{2}}} + \frac{5 \, {\left(B d^{2} + 2 \, A d e\right)} b^{7} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2048 \, c^{\frac{9}{2}}} + \frac{45 \, {\left(2 \, B d e + A e^{2}\right)} \sqrt{c x^{2} + b x} b^{7}}{16384 \, c^{5}} - \frac{15 \, {\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{5}}{2048 \, c^{4}} - \frac{5 \, {\left(B d^{2} + 2 \, A d e\right)} \sqrt{c x^{2} + b x} b^{6}}{1024 \, c^{4}} + \frac{3 \, {\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{3}}{128 \, c^{3}} + \frac{5 \, {\left(B d^{2} + 2 \, A d e\right)} {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4}}{384 \, c^{3}} - \frac{9 \, {\left(2 \, B d e + A e^{2}\right)} {\left(c x^{2} + b x\right)}^{\frac{7}{2}} b}{112 \, c^{2}} - \frac{{\left(B d^{2} + 2 \, A d e\right)} {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2}}{24 \, c^{2}} + \frac{{\left(B d^{2} + 2 \, A d e\right)} {\left(c x^{2} + b x\right)}^{\frac{7}{2}}}{7 \, c}"," ",0,"1/9*(c*x^2 + b*x)^(7/2)*B*e^2*x^2/c + 1/6*(c*x^2 + b*x)^(5/2)*A*d^2*x + 5/256*sqrt(c*x^2 + b*x)*A*b^4*d^2*x/c^2 - 5/96*(c*x^2 + b*x)^(3/2)*A*b^2*d^2*x/c - 55/16384*sqrt(c*x^2 + b*x)*B*b^7*e^2*x/c^5 + 55/6144*(c*x^2 + b*x)^(3/2)*B*b^5*e^2*x/c^4 - 11/384*(c*x^2 + b*x)^(5/2)*B*b^3*e^2*x/c^3 - 11/144*(c*x^2 + b*x)^(7/2)*B*b*e^2*x/c^2 - 5/1024*A*b^6*d^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 55/65536*B*b^9*e^2*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)*A*b^5*d^2/c^3 - 5/192*(c*x^2 + b*x)^(3/2)*A*b^3*d^2/c^2 + 1/12*(c*x^2 + b*x)^(5/2)*A*b*d^2/c - 55/32768*sqrt(c*x^2 + b*x)*B*b^8*e^2/c^6 + 55/12288*(c*x^2 + b*x)^(3/2)*B*b^6*e^2/c^5 - 11/768*(c*x^2 + b*x)^(5/2)*B*b^4*e^2/c^4 + 11/224*(c*x^2 + b*x)^(7/2)*B*b^2*e^2/c^3 + 45/8192*(2*B*d*e + A*e^2)*sqrt(c*x^2 + b*x)*b^6*x/c^4 - 15/1024*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(3/2)*b^4*x/c^3 - 5/512*(B*d^2 + 2*A*d*e)*sqrt(c*x^2 + b*x)*b^5*x/c^3 + 3/64*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(5/2)*b^2*x/c^2 + 5/192*(B*d^2 + 2*A*d*e)*(c*x^2 + b*x)^(3/2)*b^3*x/c^2 + 1/8*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(7/2)*x/c - 1/12*(B*d^2 + 2*A*d*e)*(c*x^2 + b*x)^(5/2)*b*x/c - 45/32768*(2*B*d*e + A*e^2)*b^8*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(11/2) + 5/2048*(B*d^2 + 2*A*d*e)*b^7*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) + 45/16384*(2*B*d*e + A*e^2)*sqrt(c*x^2 + b*x)*b^7/c^5 - 15/2048*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(3/2)*b^5/c^4 - 5/1024*(B*d^2 + 2*A*d*e)*sqrt(c*x^2 + b*x)*b^6/c^4 + 3/128*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(5/2)*b^3/c^3 + 5/384*(B*d^2 + 2*A*d*e)*(c*x^2 + b*x)^(3/2)*b^4/c^3 - 9/112*(2*B*d*e + A*e^2)*(c*x^2 + b*x)^(7/2)*b/c^2 - 1/24*(B*d^2 + 2*A*d*e)*(c*x^2 + b*x)^(5/2)*b^2/c^2 + 1/7*(B*d^2 + 2*A*d*e)*(c*x^2 + b*x)^(7/2)/c","B",0
1184,1,573,0,0.543529," ","integrate((B*x+A)*(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}} A d x + \frac{5 \, \sqrt{c x^{2} + b x} A b^{4} d x}{256 \, c^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{2} d x}{96 \, c} + \frac{45 \, \sqrt{c x^{2} + b x} B b^{6} e x}{8192 \, c^{4}} - \frac{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{4} e x}{1024 \, c^{3}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{2} e x}{64 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} B e x}{8 \, c} - \frac{5 \, A 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{45 \, B b^{8} e \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} A b^{5} d}{512 \, c^{3}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{3} d}{192 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b d}{12 \, c} + \frac{45 \, \sqrt{c x^{2} + b x} B b^{7} e}{16384 \, c^{5}} - \frac{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{5} e}{2048 \, c^{4}} + \frac{3 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{3} e}{128 \, c^{3}} - \frac{9 \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} B b e}{112 \, c^{2}} - \frac{5 \, \sqrt{c x^{2} + b x} {\left(B d + A e\right)} b^{5} x}{512 \, c^{3}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(B d + A e\right)} b^{3} x}{192 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} {\left(B d + A e\right)} b x}{12 \, c} + \frac{5 \, {\left(B d + A e\right)} b^{7} \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} {\left(B d + A e\right)} b^{6}}{1024 \, c^{4}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(B d + A e\right)} b^{4}}{384 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} {\left(B d + A e\right)} b^{2}}{24 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} {\left(B d + A e\right)}}{7 \, c}"," ",0,"1/6*(c*x^2 + b*x)^(5/2)*A*d*x + 5/256*sqrt(c*x^2 + b*x)*A*b^4*d*x/c^2 - 5/96*(c*x^2 + b*x)^(3/2)*A*b^2*d*x/c + 45/8192*sqrt(c*x^2 + b*x)*B*b^6*e*x/c^4 - 15/1024*(c*x^2 + b*x)^(3/2)*B*b^4*e*x/c^3 + 3/64*(c*x^2 + b*x)^(5/2)*B*b^2*e*x/c^2 + 1/8*(c*x^2 + b*x)^(7/2)*B*e*x/c - 5/1024*A*b^6*d*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 45/32768*B*b^8*e*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)*A*b^5*d/c^3 - 5/192*(c*x^2 + b*x)^(3/2)*A*b^3*d/c^2 + 1/12*(c*x^2 + b*x)^(5/2)*A*b*d/c + 45/16384*sqrt(c*x^2 + b*x)*B*b^7*e/c^5 - 15/2048*(c*x^2 + b*x)^(3/2)*B*b^5*e/c^4 + 3/128*(c*x^2 + b*x)^(5/2)*B*b^3*e/c^3 - 9/112*(c*x^2 + b*x)^(7/2)*B*b*e/c^2 - 5/512*sqrt(c*x^2 + b*x)*(B*d + A*e)*b^5*x/c^3 + 5/192*(c*x^2 + b*x)^(3/2)*(B*d + A*e)*b^3*x/c^2 - 1/12*(c*x^2 + b*x)^(5/2)*(B*d + A*e)*b*x/c + 5/2048*(B*d + A*e)*b^7*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 5/1024*sqrt(c*x^2 + b*x)*(B*d + A*e)*b^6/c^4 + 5/384*(c*x^2 + b*x)^(3/2)*(B*d + A*e)*b^4/c^3 - 1/24*(c*x^2 + b*x)^(5/2)*(B*d + A*e)*b^2/c^2 + 1/7*(c*x^2 + b*x)^(7/2)*(B*d + A*e)/c","B",0
1185,1,318,0,0.622653," ","integrate((B*x+A)*(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} A x - \frac{5 \, \sqrt{c x^{2} + b x} B b^{5} x}{512 \, c^{3}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{3} x}{192 \, c^{2}} + \frac{5 \, \sqrt{c x^{2} + b x} A b^{4} x}{256 \, c^{2}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b x}{12 \, c} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{2} x}{96 \, c} + \frac{5 \, B b^{7} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2048 \, c^{\frac{9}{2}}} - \frac{5 \, A 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 b^{6}}{1024 \, c^{4}} + \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} B b^{4}}{384 \, c^{3}} + \frac{5 \, \sqrt{c x^{2} + b x} A b^{5}}{512 \, c^{3}} - \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} B b^{2}}{24 \, c^{2}} - \frac{5 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} A b^{3}}{192 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} B}{7 \, c} + \frac{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} A b}{12 \, c}"," ",0,"1/6*(c*x^2 + b*x)^(5/2)*A*x - 5/512*sqrt(c*x^2 + b*x)*B*b^5*x/c^3 + 5/192*(c*x^2 + b*x)^(3/2)*B*b^3*x/c^2 + 5/256*sqrt(c*x^2 + b*x)*A*b^4*x/c^2 - 1/12*(c*x^2 + b*x)^(5/2)*B*b*x/c - 5/96*(c*x^2 + b*x)^(3/2)*A*b^2*x/c + 5/2048*B*b^7*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 5/1024*A*b^6*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 5/1024*sqrt(c*x^2 + b*x)*B*b^6/c^4 + 5/384*(c*x^2 + b*x)^(3/2)*B*b^4/c^3 + 5/512*sqrt(c*x^2 + b*x)*A*b^5/c^3 - 1/24*(c*x^2 + b*x)^(5/2)*B*b^2/c^2 - 5/192*(c*x^2 + b*x)^(3/2)*A*b^3/c^2 + 1/7*(c*x^2 + b*x)^(7/2)*B/c + 1/12*(c*x^2 + b*x)^(5/2)*A*b/c","B",0
1186,-2,0,0,0.000000," ","integrate((B*x+A)*(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-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
1187,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1188,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1189,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(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(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
1190,-2,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(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(b*e-c*d>0)', see `assume?` for more details)Is b*e-c*d zero or nonzero?","F(-2)",0
1191,1,474,0,0.586734," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} B e^{3} x^{3}}{4 \, c} - \frac{7 \, \sqrt{c x^{2} + b x} B b e^{3} x^{2}}{24 \, c^{2}} + \frac{35 \, \sqrt{c x^{2} + b x} B b^{2} e^{3} x}{96 \, c^{3}} + \frac{A d^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}} + \frac{35 \, B b^{4} e^{3} \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 b^{3} e^{3}}{64 \, c^{4}} + \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} \sqrt{c x^{2} + b x} x^{2}}{3 \, c} - \frac{5 \, {\left(3 \, B d e^{2} + A e^{3}\right)} \sqrt{c x^{2} + b x} b x}{12 \, c^{2}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} \sqrt{c x^{2} + b x} x}{2 \, c} - \frac{5 \, {\left(3 \, B d e^{2} + A e^{3}\right)} b^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{16 \, c^{\frac{7}{2}}} + \frac{9 \, {\left(B d^{2} e + A d e^{2}\right)} b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{5}{2}}} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{3}{2}}} + \frac{5 \, {\left(3 \, B d e^{2} + A e^{3}\right)} \sqrt{c x^{2} + b x} b^{2}}{8 \, c^{3}} - \frac{9 \, {\left(B d^{2} e + A d e^{2}\right)} \sqrt{c x^{2} + b x} b}{4 \, c^{2}} + \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} \sqrt{c x^{2} + b x}}{c}"," ",0,"1/4*sqrt(c*x^2 + b*x)*B*e^3*x^3/c - 7/24*sqrt(c*x^2 + b*x)*B*b*e^3*x^2/c^2 + 35/96*sqrt(c*x^2 + b*x)*B*b^2*e^3*x/c^3 + A*d^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + 35/128*B*b^4*e^3*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*b^3*e^3/c^4 + 1/3*(3*B*d*e^2 + A*e^3)*sqrt(c*x^2 + b*x)*x^2/c - 5/12*(3*B*d*e^2 + A*e^3)*sqrt(c*x^2 + b*x)*b*x/c^2 + 3/2*(B*d^2*e + A*d*e^2)*sqrt(c*x^2 + b*x)*x/c - 5/16*(3*B*d*e^2 + A*e^3)*b^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) + 9/8*(B*d^2*e + A*d*e^2)*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 1/2*(B*d^3 + 3*A*d^2*e)*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + 5/8*(3*B*d*e^2 + A*e^3)*sqrt(c*x^2 + b*x)*b^2/c^3 - 9/4*(B*d^2*e + A*d*e^2)*sqrt(c*x^2 + b*x)*b/c^2 + (B*d^3 + 3*A*d^2*e)*sqrt(c*x^2 + b*x)/c","A",0
1192,1,299,0,0.678226," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} B e^{2} x^{2}}{3 \, c} - \frac{5 \, \sqrt{c x^{2} + b x} B b e^{2} x}{12 \, c^{2}} + \frac{A d^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}} - \frac{5 \, B b^{3} e^{2} \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 b^{2} e^{2}}{8 \, c^{3}} + \frac{{\left(2 \, B d e + A e^{2}\right)} \sqrt{c x^{2} + b x} x}{2 \, c} + \frac{3 \, {\left(2 \, B d e + A e^{2}\right)} b^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{5}{2}}} - \frac{{\left(B d^{2} + 2 \, A d e\right)} b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{3}{2}}} - \frac{3 \, {\left(2 \, B d e + A e^{2}\right)} \sqrt{c x^{2} + b x} b}{4 \, c^{2}} + \frac{{\left(B d^{2} + 2 \, A d e\right)} \sqrt{c x^{2} + b x}}{c}"," ",0,"1/3*sqrt(c*x^2 + b*x)*B*e^2*x^2/c - 5/12*sqrt(c*x^2 + b*x)*B*b*e^2*x/c^2 + A*d^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) - 5/16*B*b^3*e^2*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*b^2*e^2/c^3 + 1/2*(2*B*d*e + A*e^2)*sqrt(c*x^2 + b*x)*x/c + 3/8*(2*B*d*e + A*e^2)*b^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 1/2*(B*d^2 + 2*A*d*e)*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) - 3/4*(2*B*d*e + A*e^2)*sqrt(c*x^2 + b*x)*b/c^2 + (B*d^2 + 2*A*d*e)*sqrt(c*x^2 + b*x)/c","A",0
1193,1,159,0,0.697962," ","integrate((B*x+A)*(e*x+d)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b x} B e x}{2 \, c} + \frac{A d \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}} + \frac{3 \, B b^{2} e \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 b e}{4 \, c^{2}} - \frac{{\left(B d + A e\right)} 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} {\left(B d + A e\right)}}{c}"," ",0,"1/2*sqrt(c*x^2 + b*x)*B*e*x/c + A*d*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + 3/8*B*b^2*e*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*b*e/c^2 - 1/2*(B*d + A*e)*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + sqrt(c*x^2 + b*x)*(B*d + A*e)/c","A",0
1194,1,75,0,0.591997," ","integrate((B*x+A)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{B b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{3}{2}}} + \frac{A \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{\sqrt{c}} + \frac{\sqrt{c x^{2} + b x} B}{c}"," ",0,"-1/2*B*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) + A*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/sqrt(c) + sqrt(c*x^2 + b*x)*B/c","A",0
1195,-2,0,0,0.000000," ","integrate((B*x+A)/(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-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((c*d^2)/e^2        -(b*d)/e))     /e^2 zero or nonzero?","F(-2)",0
1196,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1197,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1198,-2,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^4/(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
1199,1,367,0,0.722560," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{B e^{3} x^{3}}{2 \, \sqrt{c x^{2} + b x} c} - \frac{5 \, B b e^{3} x^{2}}{4 \, \sqrt{c x^{2} + b x} c^{2}} + \frac{2 \, B d^{3} x}{\sqrt{c x^{2} + b x} b} - \frac{4 \, A c d^{3} x}{\sqrt{c x^{2} + b x} b^{2}} + \frac{6 \, A d^{2} e x}{\sqrt{c x^{2} + b x} b} - \frac{15 \, B b^{2} e^{3} x}{4 \, \sqrt{c x^{2} + b x} c^{3}} + \frac{15 \, B b^{2} e^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{8 \, c^{\frac{7}{2}}} - \frac{2 \, A d^{3}}{\sqrt{c x^{2} + b x} b} + \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} x^{2}}{\sqrt{c x^{2} + b x} c} + \frac{3 \, {\left(3 \, B d e^{2} + A e^{3}\right)} b x}{\sqrt{c x^{2} + b x} c^{2}} - \frac{6 \, {\left(B d^{2} e + A d e^{2}\right)} x}{\sqrt{c x^{2} + b x} c} - \frac{3 \, {\left(3 \, B d e^{2} + A e^{3}\right)} b \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{5}{2}}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{3}{2}}}"," ",0,"1/2*B*e^3*x^3/(sqrt(c*x^2 + b*x)*c) - 5/4*B*b*e^3*x^2/(sqrt(c*x^2 + b*x)*c^2) + 2*B*d^3*x/(sqrt(c*x^2 + b*x)*b) - 4*A*c*d^3*x/(sqrt(c*x^2 + b*x)*b^2) + 6*A*d^2*e*x/(sqrt(c*x^2 + b*x)*b) - 15/4*B*b^2*e^3*x/(sqrt(c*x^2 + b*x)*c^3) + 15/8*B*b^2*e^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 2*A*d^3/(sqrt(c*x^2 + b*x)*b) + (3*B*d*e^2 + A*e^3)*x^2/(sqrt(c*x^2 + b*x)*c) + 3*(3*B*d*e^2 + A*e^3)*b*x/(sqrt(c*x^2 + b*x)*c^2) - 6*(B*d^2*e + A*d*e^2)*x/(sqrt(c*x^2 + b*x)*c) - 3/2*(3*B*d*e^2 + A*e^3)*b*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) + 3*(B*d^2*e + A*d*e^2)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2)","A",0
1200,1,227,0,0.585700," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{B e^{2} x^{2}}{\sqrt{c x^{2} + b x} c} + \frac{2 \, B d^{2} x}{\sqrt{c x^{2} + b x} b} - \frac{4 \, A c d^{2} x}{\sqrt{c x^{2} + b x} b^{2}} + \frac{4 \, A d e x}{\sqrt{c x^{2} + b x} b} + \frac{3 \, B b e^{2} x}{\sqrt{c x^{2} + b x} c^{2}} - \frac{3 \, B b e^{2} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{5}{2}}} - \frac{2 \, A d^{2}}{\sqrt{c x^{2} + b x} b} - \frac{2 \, {\left(2 \, B d e + A e^{2}\right)} x}{\sqrt{c x^{2} + b x} c} + \frac{{\left(2 \, B d e + A e^{2}\right)} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{3}{2}}}"," ",0,"B*e^2*x^2/(sqrt(c*x^2 + b*x)*c) + 2*B*d^2*x/(sqrt(c*x^2 + b*x)*b) - 4*A*c*d^2*x/(sqrt(c*x^2 + b*x)*b^2) + 4*A*d*e*x/(sqrt(c*x^2 + b*x)*b) + 3*B*b*e^2*x/(sqrt(c*x^2 + b*x)*c^2) - 3/2*B*b*e^2*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 2*A*d^2/(sqrt(c*x^2 + b*x)*b) - 2*(2*B*d*e + A*e^2)*x/(sqrt(c*x^2 + b*x)*c) + (2*B*d*e + A*e^2)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2)","A",0
1201,1,125,0,0.570846," ","integrate((B*x+A)*(e*x+d)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, B d x}{\sqrt{c x^{2} + b x} b} - \frac{4 \, A c d x}{\sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, A e x}{\sqrt{c x^{2} + b x} b} - \frac{2 \, B e x}{\sqrt{c x^{2} + b x} c} + \frac{B e \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{3}{2}}} - \frac{2 \, A d}{\sqrt{c x^{2} + b x} b}"," ",0,"2*B*d*x/(sqrt(c*x^2 + b*x)*b) - 4*A*c*d*x/(sqrt(c*x^2 + b*x)*b^2) + 2*A*e*x/(sqrt(c*x^2 + b*x)*b) - 2*B*e*x/(sqrt(c*x^2 + b*x)*c) + B*e*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(3/2) - 2*A*d/(sqrt(c*x^2 + b*x)*b)","A",0
1202,1,55,0,0.601116," ","integrate((B*x+A)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, B x}{\sqrt{c x^{2} + b x} b} - \frac{4 \, A c x}{\sqrt{c x^{2} + b x} b^{2}} - \frac{2 \, A}{\sqrt{c x^{2} + b x} b}"," ",0,"2*B*x/(sqrt(c*x^2 + b*x)*b) - 4*A*c*x/(sqrt(c*x^2 + b*x)*b^2) - 2*A/(sqrt(c*x^2 + b*x)*b)","A",0
1203,-2,0,0,0.000000," ","integrate((B*x+A)/(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-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((c*d^2)/e^2        -(b*d)/e))     /e^2 zero or nonzero?","F(-2)",0
1204,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1205,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1206,1,795,0,0.647633," ","integrate((B*x+A)*(e*x+d)^4/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{5 \, B b 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)}}{6 \, c} + \frac{B e^{4} x^{4}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{4 \, A c d^{4} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, A c^{2} d^{4} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{10 \, B b e^{4} x}{3 \, \sqrt{c x^{2} + b x} c^{3}} - \frac{5 \, B b e^{4} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{2 \, c^{\frac{7}{2}}} - \frac{1}{3} \, {\left(4 \, B d e^{3} + A e^{4}\right)} 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{2 \, A d^{4}}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, A c d^{4}}{3 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{5 \, \sqrt{c x^{2} + b x} B e^{4}}{3 \, c^{3}} - \frac{2 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} x^{2}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} + \frac{8 \, {\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} x}{3 \, \sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, {\left(B d^{4} + 4 \, A d^{3} e\right)} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{4 \, {\left(4 \, B d e^{3} + A e^{4}\right)} x}{3 \, \sqrt{c x^{2} + b x} c^{2}} - \frac{2 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} b x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c^{2}} - \frac{4 \, {\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} + \frac{4 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} x}{3 \, \sqrt{c x^{2} + b x} b c} - \frac{16 \, {\left(B d^{4} + 4 \, A d^{3} e\right)} c x}{3 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{5}{2}}} - \frac{8 \, {\left(B d^{4} + 4 \, A d^{3} e\right)}}{3 \, \sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)}}{3 \, \sqrt{c x^{2} + b x} c^{2}} - \frac{2 \, {\left(4 \, B d e^{3} + A e^{4}\right)} \sqrt{c x^{2} + b x}}{3 \, b c^{2}} + \frac{4 \, {\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)}}{3 \, \sqrt{c x^{2} + b x} b c}"," ",0,"5/6*B*b*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))/c + B*e^4*x^4/((c*x^2 + b*x)^(3/2)*c) - 4/3*A*c*d^4*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*A*c^2*d^4*x/(sqrt(c*x^2 + b*x)*b^4) + 10/3*B*b*e^4*x/(sqrt(c*x^2 + b*x)*c^3) - 5/2*B*b*e^4*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(7/2) - 1/3*(4*B*d*e^3 + A*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)) - 2/3*A*d^4/((c*x^2 + b*x)^(3/2)*b) + 16/3*A*c*d^4/(sqrt(c*x^2 + b*x)*b^3) + 5/3*sqrt(c*x^2 + b*x)*B*e^4/c^3 - 2*(3*B*d^2*e^2 + 2*A*d*e^3)*x^2/((c*x^2 + b*x)^(3/2)*c) + 8/3*(2*B*d^3*e + 3*A*d^2*e^2)*x/(sqrt(c*x^2 + b*x)*b^2) + 2/3*(B*d^4 + 4*A*d^3*e)*x/((c*x^2 + b*x)^(3/2)*b) - 4/3*(4*B*d*e^3 + A*e^4)*x/(sqrt(c*x^2 + b*x)*c^2) - 2/3*(3*B*d^2*e^2 + 2*A*d*e^3)*b*x/((c*x^2 + b*x)^(3/2)*c^2) - 4/3*(2*B*d^3*e + 3*A*d^2*e^2)*x/((c*x^2 + b*x)^(3/2)*c) + 4/3*(3*B*d^2*e^2 + 2*A*d*e^3)*x/(sqrt(c*x^2 + b*x)*b*c) - 16/3*(B*d^4 + 4*A*d^3*e)*c*x/(sqrt(c*x^2 + b*x)*b^3) + (4*B*d*e^3 + A*e^4)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 8/3*(B*d^4 + 4*A*d^3*e)/(sqrt(c*x^2 + b*x)*b^2) + 2/3*(3*B*d^2*e^2 + 2*A*d*e^3)/(sqrt(c*x^2 + b*x)*c^2) - 2/3*(4*B*d*e^3 + A*e^4)*sqrt(c*x^2 + b*x)/(b*c^2) + 4/3*(2*B*d^3*e + 3*A*d^2*e^2)/(sqrt(c*x^2 + b*x)*b*c)","B",0
1207,1,550,0,0.721390," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, B e^{3} 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 \, A c d^{3} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, A c^{2} d^{3} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{4 \, B e^{3} x}{3 \, \sqrt{c x^{2} + b x} c^{2}} + \frac{B e^{3} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{c^{\frac{5}{2}}} - \frac{2 \, A d^{3}}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, A c d^{3}}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{2 \, \sqrt{c x^{2} + b x} B e^{3}}{3 \, b c^{2}} - \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} x^{2}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} + \frac{4 \, {\left(B d^{2} e + A d e^{2}\right)} x}{\sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, {\left(B d^{3} + 3 \, A d^{2} e\right)} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} b x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c^{2}} - \frac{2 \, {\left(B d^{2} e + A d e^{2}\right)} x}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} + \frac{2 \, {\left(3 \, B d e^{2} + A e^{3}\right)} x}{3 \, \sqrt{c x^{2} + b x} b c} - \frac{16 \, {\left(B d^{3} + 3 \, A d^{2} e\right)} c x}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{8 \, {\left(B d^{3} + 3 \, A d^{2} e\right)}}{3 \, \sqrt{c x^{2} + b x} b^{2}} + \frac{3 \, B d e^{2} + A e^{3}}{3 \, \sqrt{c x^{2} + b x} c^{2}} + \frac{2 \, {\left(B d^{2} e + A d e^{2}\right)}}{\sqrt{c x^{2} + b x} b c}"," ",0,"-1/3*B*e^3*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)) - 4/3*A*c*d^3*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*A*c^2*d^3*x/(sqrt(c*x^2 + b*x)*b^4) - 4/3*B*e^3*x/(sqrt(c*x^2 + b*x)*c^2) + B*e^3*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(5/2) - 2/3*A*d^3/((c*x^2 + b*x)^(3/2)*b) + 16/3*A*c*d^3/(sqrt(c*x^2 + b*x)*b^3) - 2/3*sqrt(c*x^2 + b*x)*B*e^3/(b*c^2) - (3*B*d*e^2 + A*e^3)*x^2/((c*x^2 + b*x)^(3/2)*c) + 4*(B*d^2*e + A*d*e^2)*x/(sqrt(c*x^2 + b*x)*b^2) + 2/3*(B*d^3 + 3*A*d^2*e)*x/((c*x^2 + b*x)^(3/2)*b) - 1/3*(3*B*d*e^2 + A*e^3)*b*x/((c*x^2 + b*x)^(3/2)*c^2) - 2*(B*d^2*e + A*d*e^2)*x/((c*x^2 + b*x)^(3/2)*c) + 2/3*(3*B*d*e^2 + A*e^3)*x/(sqrt(c*x^2 + b*x)*b*c) - 16/3*(B*d^3 + 3*A*d^2*e)*c*x/(sqrt(c*x^2 + b*x)*b^3) - 8/3*(B*d^3 + 3*A*d^2*e)/(sqrt(c*x^2 + b*x)*b^2) + 1/3*(3*B*d*e^2 + A*e^3)/(sqrt(c*x^2 + b*x)*c^2) + 2*(B*d^2*e + A*d*e^2)/(sqrt(c*x^2 + b*x)*b*c)","B",0
1208,1,347,0,0.515485," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{B e^{2} x^{2}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{4 \, A c d^{2} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, A c^{2} d^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{B b e^{2} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c^{2}} + \frac{2 \, B e^{2} x}{3 \, \sqrt{c x^{2} + b x} b c} - \frac{2 \, A d^{2}}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, A c d^{2}}{3 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{B e^{2}}{3 \, \sqrt{c x^{2} + b x} c^{2}} + \frac{4 \, {\left(2 \, B d e + A e^{2}\right)} x}{3 \, \sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, {\left(B d^{2} + 2 \, A d e\right)} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{2 \, {\left(2 \, B d e + A e^{2}\right)} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{16 \, {\left(B d^{2} + 2 \, A d e\right)} c x}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{8 \, {\left(B d^{2} + 2 \, A d e\right)}}{3 \, \sqrt{c x^{2} + b x} b^{2}} + \frac{2 \, {\left(2 \, B d e + A e^{2}\right)}}{3 \, \sqrt{c x^{2} + b x} b c}"," ",0,"-B*e^2*x^2/((c*x^2 + b*x)^(3/2)*c) - 4/3*A*c*d^2*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*A*c^2*d^2*x/(sqrt(c*x^2 + b*x)*b^4) - 1/3*B*b*e^2*x/((c*x^2 + b*x)^(3/2)*c^2) + 2/3*B*e^2*x/(sqrt(c*x^2 + b*x)*b*c) - 2/3*A*d^2/((c*x^2 + b*x)^(3/2)*b) + 16/3*A*c*d^2/(sqrt(c*x^2 + b*x)*b^3) + 1/3*B*e^2/(sqrt(c*x^2 + b*x)*c^2) + 4/3*(2*B*d*e + A*e^2)*x/(sqrt(c*x^2 + b*x)*b^2) + 2/3*(B*d^2 + 2*A*d*e)*x/((c*x^2 + b*x)^(3/2)*b) - 2/3*(2*B*d*e + A*e^2)*x/((c*x^2 + b*x)^(3/2)*c) - 16/3*(B*d^2 + 2*A*d*e)*c*x/(sqrt(c*x^2 + b*x)*b^3) - 8/3*(B*d^2 + 2*A*d*e)/(sqrt(c*x^2 + b*x)*b^2) + 2/3*(2*B*d*e + A*e^2)/(sqrt(c*x^2 + b*x)*b*c)","B",0
1209,1,211,0,0.543774," ","integrate((B*x+A)*(e*x+d)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","-\frac{4 \, A c d x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, A c^{2} d x}{3 \, \sqrt{c x^{2} + b x} b^{4}} + \frac{4 \, B e x}{3 \, \sqrt{c x^{2} + b x} b^{2}} - \frac{2 \, B e x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} c} - \frac{2 \, A d}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, A c d}{3 \, \sqrt{c x^{2} + b x} b^{3}} + \frac{2 \, B e}{3 \, \sqrt{c x^{2} + b x} b c} + \frac{2 \, {\left(B d + A e\right)} x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{16 \, {\left(B d + A e\right)} c x}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{8 \, {\left(B d + A e\right)}}{3 \, \sqrt{c x^{2} + b x} b^{2}}"," ",0,"-4/3*A*c*d*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*A*c^2*d*x/(sqrt(c*x^2 + b*x)*b^4) + 4/3*B*e*x/(sqrt(c*x^2 + b*x)*b^2) - 2/3*B*e*x/((c*x^2 + b*x)^(3/2)*c) - 2/3*A*d/((c*x^2 + b*x)^(3/2)*b) + 16/3*A*c*d/(sqrt(c*x^2 + b*x)*b^3) + 2/3*B*e/(sqrt(c*x^2 + b*x)*b*c) + 2/3*(B*d + A*e)*x/((c*x^2 + b*x)^(3/2)*b) - 16/3*(B*d + A*e)*c*x/(sqrt(c*x^2 + b*x)*b^3) - 8/3*(B*d + A*e)/(sqrt(c*x^2 + b*x)*b^2)","B",0
1210,1,130,0,0.531068," ","integrate((B*x+A)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, B x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} - \frac{16 \, B c x}{3 \, \sqrt{c x^{2} + b x} b^{3}} - \frac{4 \, A c x}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{2}} + \frac{32 \, A c^{2} x}{3 \, \sqrt{c x^{2} + b x} b^{4}} - \frac{8 \, B}{3 \, \sqrt{c x^{2} + b x} b^{2}} - \frac{2 \, A}{3 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b} + \frac{16 \, A c}{3 \, \sqrt{c x^{2} + b x} b^{3}}"," ",0,"2/3*B*x/((c*x^2 + b*x)^(3/2)*b) - 16/3*B*c*x/(sqrt(c*x^2 + b*x)*b^3) - 4/3*A*c*x/((c*x^2 + b*x)^(3/2)*b^2) + 32/3*A*c^2*x/(sqrt(c*x^2 + b*x)*b^4) - 8/3*B/(sqrt(c*x^2 + b*x)*b^2) - 2/3*A/((c*x^2 + b*x)^(3/2)*b) + 16/3*A*c/(sqrt(c*x^2 + b*x)*b^3)","B",0
1211,-2,0,0,0.000000," ","integrate((B*x+A)/(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-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((c*d^2)/e^2        -(b*d)/e))     /e^2 zero or nonzero?","F(-2)",0
1212,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1213,1,112,0,0.568778," ","integrate((B*x+A)*(e*x+d)^(7/2)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(429 \, {\left(e x + d\right)}^{\frac{15}{2}} B c - 495 \, {\left(3 \, B c d - {\left(B b + A c\right)} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 585 \, {\left(3 \, B c d^{2} + A b e^{2} - 2 \, {\left(B b + A c\right)} d e\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 715 \, {\left(B c d^{3} + A b d e^{2} - {\left(B b + A c\right)} d^{2} e\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{6435 \, e^{4}}"," ",0,"2/6435*(429*(e*x + d)^(15/2)*B*c - 495*(3*B*c*d - (B*b + A*c)*e)*(e*x + d)^(13/2) + 585*(3*B*c*d^2 + A*b*e^2 - 2*(B*b + A*c)*d*e)*(e*x + d)^(11/2) - 715*(B*c*d^3 + A*b*d*e^2 - (B*b + A*c)*d^2*e)*(e*x + d)^(9/2))/e^4","A",0
1214,1,112,0,0.463818," ","integrate((B*x+A)*(e*x+d)^(5/2)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(693 \, {\left(e x + d\right)}^{\frac{13}{2}} B c - 819 \, {\left(3 \, B c d - {\left(B b + A c\right)} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 1001 \, {\left(3 \, B c d^{2} + A b e^{2} - 2 \, {\left(B b + A c\right)} d e\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 1287 \, {\left(B c d^{3} + A b d e^{2} - {\left(B b + A c\right)} d^{2} e\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{9009 \, e^{4}}"," ",0,"2/9009*(693*(e*x + d)^(13/2)*B*c - 819*(3*B*c*d - (B*b + A*c)*e)*(e*x + d)^(11/2) + 1001*(3*B*c*d^2 + A*b*e^2 - 2*(B*b + A*c)*d*e)*(e*x + d)^(9/2) - 1287*(B*c*d^3 + A*b*d*e^2 - (B*b + A*c)*d^2*e)*(e*x + d)^(7/2))/e^4","A",0
1215,1,112,0,0.493177," ","integrate((B*x+A)*(e*x+d)^(3/2)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(e x + d\right)}^{\frac{11}{2}} B c - 385 \, {\left(3 \, B c d - {\left(B b + A c\right)} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(3 \, B c d^{2} + A b e^{2} - 2 \, {\left(B b + A c\right)} d e\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 693 \, {\left(B c d^{3} + A b d e^{2} - {\left(B b + A c\right)} d^{2} e\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{3465 \, e^{4}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*B*c - 385*(3*B*c*d - (B*b + A*c)*e)*(e*x + d)^(9/2) + 495*(3*B*c*d^2 + A*b*e^2 - 2*(B*b + A*c)*d*e)*(e*x + d)^(7/2) - 693*(B*c*d^3 + A*b*d*e^2 - (B*b + A*c)*d^2*e)*(e*x + d)^(5/2))/e^4","A",0
1216,1,112,0,0.508071," ","integrate((B*x+A)*(e*x+d)^(1/2)*(c*x^2+b*x),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} B c - 45 \, {\left(3 \, B c d - {\left(B b + A c\right)} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 63 \, {\left(3 \, B c d^{2} + A b e^{2} - 2 \, {\left(B b + A c\right)} d e\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 105 \, {\left(B c d^{3} + A b d e^{2} - {\left(B b + A c\right)} d^{2} e\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{315 \, e^{4}}"," ",0,"2/315*(35*(e*x + d)^(9/2)*B*c - 45*(3*B*c*d - (B*b + A*c)*e)*(e*x + d)^(7/2) + 63*(3*B*c*d^2 + A*b*e^2 - 2*(B*b + A*c)*d*e)*(e*x + d)^(5/2) - 105*(B*c*d^3 + A*b*d*e^2 - (B*b + A*c)*d^2*e)*(e*x + d)^(3/2))/e^4","A",0
1217,1,112,0,0.596533," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{\frac{7}{2}} B c - 21 \, {\left(3 \, B c d - {\left(B b + A c\right)} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(3 \, B c d^{2} + A b e^{2} - 2 \, {\left(B b + A c\right)} d e\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 105 \, {\left(B c d^{3} + A b d e^{2} - {\left(B b + A c\right)} d^{2} e\right)} \sqrt{e x + d}\right)}}{105 \, e^{4}}"," ",0,"2/105*(15*(e*x + d)^(7/2)*B*c - 21*(3*B*c*d - (B*b + A*c)*e)*(e*x + d)^(5/2) + 35*(3*B*c*d^2 + A*b*e^2 - 2*(B*b + A*c)*d*e)*(e*x + d)^(3/2) - 105*(B*c*d^3 + A*b*d*e^2 - (B*b + A*c)*d^2*e)*sqrt(e*x + d))/e^4","A",0
1218,1,120,0,0.569699," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} B c - 5 \, {\left(3 \, B c d - {\left(B b + A c\right)} e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15 \, {\left(3 \, B c d^{2} + A b e^{2} - 2 \, {\left(B b + A c\right)} d e\right)} \sqrt{e x + d}}{e^{3}} + \frac{15 \, {\left(B c d^{3} + A b d e^{2} - {\left(B b + A c\right)} d^{2} e\right)}}{\sqrt{e x + d} e^{3}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*B*c - 5*(3*B*c*d - (B*b + A*c)*e)*(e*x + d)^(3/2) + 15*(3*B*c*d^2 + A*b*e^2 - 2*(B*b + A*c)*d*e)*sqrt(e*x + d))/e^3 + 15*(B*c*d^3 + A*b*d*e^2 - (B*b + A*c)*d^2*e)/(sqrt(e*x + d)*e^3))/e","A",0
1219,1,116,0,0.640833," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} B c - 3 \, {\left(3 \, B c d - {\left(B b + A c\right)} e\right)} \sqrt{e x + d}}{e^{3}} + \frac{B c d^{3} + A b d e^{2} - {\left(B b + A c\right)} d^{2} e - 3 \, {\left(3 \, B c d^{2} + A b e^{2} - 2 \, {\left(B b + A c\right)} d e\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)*B*c - 3*(3*B*c*d - (B*b + A*c)*e)*sqrt(e*x + d))/e^3 + (B*c*d^3 + A*b*d*e^2 - (B*b + A*c)*d^2*e - 3*(3*B*c*d^2 + A*b*e^2 - 2*(B*b + A*c)*d*e)*(e*x + d))/((e*x + d)^(3/2)*e^3))/e","A",0
1220,1,117,0,0.582108," ","integrate((B*x+A)*(c*x^2+b*x)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, \sqrt{e x + d} B c}{e^{3}} + \frac{3 \, B c d^{3} + 3 \, A b d e^{2} - 3 \, {\left(B b + A c\right)} d^{2} e + 15 \, {\left(3 \, B c d - {\left(B b + A c\right)} e\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(3 \, B c d^{2} + A b e^{2} - 2 \, {\left(B b + A c\right)} d e\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{3}}\right)}}{15 \, e}"," ",0,"2/15*(15*sqrt(e*x + d)*B*c/e^3 + (3*B*c*d^3 + 3*A*b*d*e^2 - 3*(B*b + A*c)*d^2*e + 15*(3*B*c*d - (B*b + A*c)*e)*(e*x + d)^2 - 5*(3*B*c*d^2 + A*b*e^2 - 2*(B*b + A*c)*d*e)*(e*x + d))/((e*x + d)^(5/2)*e^3))/e","A",0
1221,1,291,0,0.492074," ","integrate((B*x+A)*(e*x+d)^(7/2)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(109395 \, {\left(e x + d\right)}^{\frac{19}{2}} B c^{2} - 122265 \, {\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 138567 \, {\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 159885 \, {\left(10 \, B c^{2} d^{3} - A b^{2} e^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 188955 \, {\left(5 \, B c^{2} d^{4} - 2 \, A b^{2} d e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 230945 \, {\left(B c^{2} d^{5} - A b^{2} d^{2} e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{2078505 \, e^{6}}"," ",0,"2/2078505*(109395*(e*x + d)^(19/2)*B*c^2 - 122265*(5*B*c^2*d - (2*B*b*c + A*c^2)*e)*(e*x + d)^(17/2) + 138567*(10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*(e*x + d)^(15/2) - 159885*(10*B*c^2*d^3 - A*b^2*e^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*(e*x + d)^(13/2) + 188955*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*A*b*c)*d^2*e^2)*(e*x + d)^(11/2) - 230945*(B*c^2*d^5 - A*b^2*d^2*e^3 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2)*(e*x + d)^(9/2))/e^6","A",0
1222,1,291,0,0.611881," ","integrate((B*x+A)*(e*x+d)^(5/2)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(45045 \, {\left(e x + d\right)}^{\frac{17}{2}} B c^{2} - 51051 \, {\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 58905 \, {\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 69615 \, {\left(10 \, B c^{2} d^{3} - A b^{2} e^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 85085 \, {\left(5 \, B c^{2} d^{4} - 2 \, A b^{2} d e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 109395 \, {\left(B c^{2} d^{5} - A b^{2} d^{2} e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{765765 \, e^{6}}"," ",0,"2/765765*(45045*(e*x + d)^(17/2)*B*c^2 - 51051*(5*B*c^2*d - (2*B*b*c + A*c^2)*e)*(e*x + d)^(15/2) + 58905*(10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*(e*x + d)^(13/2) - 69615*(10*B*c^2*d^3 - A*b^2*e^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*(e*x + d)^(11/2) + 85085*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*A*b*c)*d^2*e^2)*(e*x + d)^(9/2) - 109395*(B*c^2*d^5 - A*b^2*d^2*e^3 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2)*(e*x + d)^(7/2))/e^6","A",0
1223,1,291,0,0.535373," ","integrate((B*x+A)*(e*x+d)^(3/2)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(e x + d\right)}^{\frac{15}{2}} B c^{2} - 3465 \, {\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 4095 \, {\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 5005 \, {\left(10 \, B c^{2} d^{3} - A b^{2} e^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 6435 \, {\left(5 \, B c^{2} d^{4} - 2 \, A b^{2} d e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 9009 \, {\left(B c^{2} d^{5} - A b^{2} d^{2} e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{45045 \, e^{6}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*B*c^2 - 3465*(5*B*c^2*d - (2*B*b*c + A*c^2)*e)*(e*x + d)^(13/2) + 4095*(10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*(e*x + d)^(11/2) - 5005*(10*B*c^2*d^3 - A*b^2*e^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*(e*x + d)^(9/2) + 6435*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*A*b*c)*d^2*e^2)*(e*x + d)^(7/2) - 9009*(B*c^2*d^5 - A*b^2*d^2*e^3 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2)*(e*x + d)^(5/2))/e^6","A",0
1224,1,291,0,0.506955," ","integrate((B*x+A)*(e*x+d)^(1/2)*(c*x^2+b*x)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3465 \, {\left(e x + d\right)}^{\frac{13}{2}} B c^{2} - 4095 \, {\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 5005 \, {\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 6435 \, {\left(10 \, B c^{2} d^{3} - A b^{2} e^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 9009 \, {\left(5 \, B c^{2} d^{4} - 2 \, A b^{2} d e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 15015 \, {\left(B c^{2} d^{5} - A b^{2} d^{2} e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{45045 \, e^{6}}"," ",0,"2/45045*(3465*(e*x + d)^(13/2)*B*c^2 - 4095*(5*B*c^2*d - (2*B*b*c + A*c^2)*e)*(e*x + d)^(11/2) + 5005*(10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*(e*x + d)^(9/2) - 6435*(10*B*c^2*d^3 - A*b^2*e^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*(e*x + d)^(7/2) + 9009*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*A*b*c)*d^2*e^2)*(e*x + d)^(5/2) - 15015*(B*c^2*d^5 - A*b^2*d^2*e^3 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2)*(e*x + d)^(3/2))/e^6","A",0
1225,1,291,0,0.481458," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(e x + d\right)}^{\frac{11}{2}} B c^{2} - 385 \, {\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 693 \, {\left(10 \, B c^{2} d^{3} - A b^{2} e^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(5 \, B c^{2} d^{4} - 2 \, A b^{2} d e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 3465 \, {\left(B c^{2} d^{5} - A b^{2} d^{2} e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2}\right)} \sqrt{e x + d}\right)}}{3465 \, e^{6}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*B*c^2 - 385*(5*B*c^2*d - (2*B*b*c + A*c^2)*e)*(e*x + d)^(9/2) + 495*(10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*(e*x + d)^(7/2) - 693*(10*B*c^2*d^3 - A*b^2*e^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*(e*x + d)^(5/2) + 1155*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*A*b*c)*d^2*e^2)*(e*x + d)^(3/2) - 3465*(B*c^2*d^5 - A*b^2*d^2*e^3 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2)*sqrt(e*x + d))/e^6","A",0
1226,1,299,0,0.489082," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}} B c^{2} - 45 \, {\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 63 \, {\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 105 \, {\left(10 \, B c^{2} d^{3} - A b^{2} e^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 315 \, {\left(5 \, B c^{2} d^{4} - 2 \, A b^{2} d e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} \sqrt{e x + d}}{e^{5}} + \frac{315 \, {\left(B c^{2} d^{5} - A b^{2} d^{2} e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2}\right)}}{\sqrt{e x + d} e^{5}}\right)}}{315 \, e}"," ",0,"2/315*((35*(e*x + d)^(9/2)*B*c^2 - 45*(5*B*c^2*d - (2*B*b*c + A*c^2)*e)*(e*x + d)^(7/2) + 63*(10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*(e*x + d)^(5/2) - 105*(10*B*c^2*d^3 - A*b^2*e^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*(e*x + d)^(3/2) + 315*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*A*b*c)*d^2*e^2)*sqrt(e*x + d))/e^5 + 315*(B*c^2*d^5 - A*b^2*d^2*e^3 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2)/(sqrt(e*x + d)*e^5))/e","A",0
1227,1,297,0,0.535230," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(e x + d\right)}^{\frac{7}{2}} B c^{2} - 21 \, {\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 105 \, {\left(10 \, B c^{2} d^{3} - A b^{2} e^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} \sqrt{e x + d}}{e^{5}} + \frac{35 \, {\left(B c^{2} d^{5} - A b^{2} d^{2} e^{3} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2} - 3 \, {\left(5 \, B c^{2} d^{4} - 2 \, A b^{2} d e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{5}}\right)}}{105 \, e}"," ",0,"2/105*((15*(e*x + d)^(7/2)*B*c^2 - 21*(5*B*c^2*d - (2*B*b*c + A*c^2)*e)*(e*x + d)^(5/2) + 35*(10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*(e*x + d)^(3/2) - 105*(10*B*c^2*d^3 - A*b^2*e^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*sqrt(e*x + d))/e^5 + 35*(B*c^2*d^5 - A*b^2*d^2*e^3 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*A*b*c)*d^3*e^2 - 3*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*A*b*c)*d^2*e^2)*(e*x + d))/((e*x + d)^(3/2)*e^5))/e","A",0
1228,1,298,0,0.575841," ","integrate((B*x+A)*(c*x^2+b*x)^2/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} B c^{2} - 5 \, {\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15 \, {\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, A b c\right)} e^{2}\right)} \sqrt{e x + d}}{e^{5}} + \frac{3 \, B c^{2} d^{5} - 3 \, A b^{2} d^{2} e^{3} - 3 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{3} e^{2} + 15 \, {\left(10 \, B c^{2} d^{3} - A b^{2} e^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d e^{2}\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(5 \, B c^{2} d^{4} - 2 \, A b^{2} d e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, A b c\right)} d^{2} e^{2}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{5}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*B*c^2 - 5*(5*B*c^2*d - (2*B*b*c + A*c^2)*e)*(e*x + d)^(3/2) + 15*(10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*A*b*c)*e^2)*sqrt(e*x + d))/e^5 + (3*B*c^2*d^5 - 3*A*b^2*d^2*e^3 - 3*(2*B*b*c + A*c^2)*d^4*e + 3*(B*b^2 + 2*A*b*c)*d^3*e^2 + 15*(10*B*c^2*d^3 - A*b^2*e^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*A*b*c)*d*e^2)*(e*x + d)^2 - 5*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*A*b*c)*d^2*e^2)*(e*x + d))/((e*x + d)^(5/2)*e^5))/e","A",0
1229,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1230,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1231,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1232,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1233,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1234,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1235,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1236,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1237,-2,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(9/2)/(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
1238,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1239,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1240,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1241,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1242,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1243,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1244,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1245,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1246,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1247,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1248,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1249,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1250,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1251,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1252,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1253,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1254,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1255,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)*(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x} {\left(B x + A\right)} \sqrt{e x + d}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(B*x + A)*sqrt(e*x + d), x)","F",0
1256,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x} {\left(B x + A\right)}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(B*x + A)/sqrt(e*x + d), x)","F",0
1257,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x} {\left(B x + A\right)}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(B*x + A)/(e*x + d)^(3/2), x)","F",0
1258,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x} {\left(B x + A\right)}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(B*x + A)/(e*x + d)^(5/2), x)","F",0
1259,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+b*x)^(1/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x} {\left(B x + A\right)}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x)*(B*x + A)/(e*x + d)^(7/2), x)","F",0
1260,0,0,0,0.000000," ","integrate((B*x+A)*(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}} {\left(B x + A\right)}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(B*x + A)/sqrt(e*x + d), x)","F",0
1261,0,0,0,0.000000," ","integrate((B*x+A)*(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(B x + A\right)}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(B*x + A)/(e*x + d)^(3/2), x)","F",0
1262,0,0,0,0.000000," ","integrate((B*x+A)*(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(B x + A\right)}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(B*x + A)/(e*x + d)^(5/2), x)","F",0
1263,0,0,0,0.000000," ","integrate((B*x+A)*(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(B x + A\right)}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/2)*(B*x + A)/(e*x + d)^(7/2), x)","F",0
1264,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{\sqrt{c x^{2} + b x}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(5/2)/sqrt(c*x^2 + b*x), x)","F",0
1265,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + b x}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(3/2)/sqrt(c*x^2 + b*x), x)","F",0
1266,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{\sqrt{c x^{2} + b x}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/sqrt(c*x^2 + b*x), x)","F",0
1267,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x)*sqrt(e*x + d)), x)","F",0
1268,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x)*(e*x + d)^(3/2)), x)","F",0
1269,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x)*(e*x + d)^(5/2)), x)","F",0
1270,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(7/2)/(c*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x)*(e*x + d)^(7/2)), x)","F",0
1271,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(7/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(7/2)/(c*x^2 + b*x)^(3/2), x)","F",0
1272,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(5/2)/(c*x^2 + b*x)^(3/2), x)","F",0
1273,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(3/2)/(c*x^2 + b*x)^(3/2), x)","F",0
1274,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/(c*x^2 + b*x)^(3/2), x)","F",0
1275,0,0,0,0.000000," ","integrate((B*x+A)/(c*x^2+b*x)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(3/2)*sqrt(e*x + d)), x)","F",0
1276,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(3/2)*(e*x + d)^(3/2)), x)","F",0
1277,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(3/2)*(e*x + d)^(5/2)), x)","F",0
1278,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(7/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(7/2)/(c*x^2 + b*x)^(5/2), x)","F",0
1279,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(5/2)/(c*x^2 + b*x)^(5/2), x)","F",0
1280,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(3/2)/(c*x^2 + b*x)^(5/2), x)","F",0
1281,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/(c*x^2 + b*x)^(5/2), x)","F",0
1282,0,0,0,0.000000," ","integrate((B*x+A)/(c*x^2+b*x)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(5/2)*sqrt(e*x + d)), x)","F",0
1283,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x)^(5/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x)^(5/2)*(e*x + d)^(3/2)), x)","F",0
1284,1,237,0,0.550411," ","integrate((B*x+A)*(e*x+d)^5*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{9} \, B c e^{5} x^{9} + \frac{1}{8} \, {\left(5 \, B c d e^{4} + A c e^{5}\right)} x^{8} + A a d^{5} x + \frac{1}{7} \, {\left(10 \, B c d^{2} e^{3} + 5 \, A c d e^{4} + B a e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(10 \, B c d^{3} e^{2} + 10 \, A c d^{2} e^{3} + 5 \, B a d e^{4} + A a e^{5}\right)} x^{6} + {\left(B c d^{4} e + 2 \, A c d^{3} e^{2} + 2 \, B a d^{2} e^{3} + A a d e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(B c d^{5} + 5 \, A c d^{4} e + 10 \, B a d^{3} e^{2} + 10 \, A a d^{2} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(A c d^{5} + 5 \, B a d^{4} e + 10 \, A a d^{3} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a d^{5} + 5 \, A a d^{4} e\right)} x^{2}"," ",0,"1/9*B*c*e^5*x^9 + 1/8*(5*B*c*d*e^4 + A*c*e^5)*x^8 + A*a*d^5*x + 1/7*(10*B*c*d^2*e^3 + 5*A*c*d*e^4 + B*a*e^5)*x^7 + 1/6*(10*B*c*d^3*e^2 + 10*A*c*d^2*e^3 + 5*B*a*d*e^4 + A*a*e^5)*x^6 + (B*c*d^4*e + 2*A*c*d^3*e^2 + 2*B*a*d^2*e^3 + A*a*d*e^4)*x^5 + 1/4*(B*c*d^5 + 5*A*c*d^4*e + 10*B*a*d^3*e^2 + 10*A*a*d^2*e^3)*x^4 + 1/3*(A*c*d^5 + 5*B*a*d^4*e + 10*A*a*d^3*e^2)*x^3 + 1/2*(B*a*d^5 + 5*A*a*d^4*e)*x^2","B",0
1285,1,194,0,0.472813," ","integrate((B*x+A)*(e*x+d)^4*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{8} \, B c e^{4} x^{8} + \frac{1}{7} \, {\left(4 \, B c d e^{3} + A c e^{4}\right)} x^{7} + A a d^{4} x + \frac{1}{6} \, {\left(6 \, B c d^{2} e^{2} + 4 \, A c d e^{3} + B a e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(4 \, B c d^{3} e + 6 \, A c d^{2} e^{2} + 4 \, B a d e^{3} + A a e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(B c d^{4} + 4 \, A c d^{3} e + 6 \, B a d^{2} e^{2} + 4 \, A a d e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(A c d^{4} + 4 \, B a d^{3} e + 6 \, A a d^{2} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a d^{4} + 4 \, A a d^{3} e\right)} x^{2}"," ",0,"1/8*B*c*e^4*x^8 + 1/7*(4*B*c*d*e^3 + A*c*e^4)*x^7 + A*a*d^4*x + 1/6*(6*B*c*d^2*e^2 + 4*A*c*d*e^3 + B*a*e^4)*x^6 + 1/5*(4*B*c*d^3*e + 6*A*c*d^2*e^2 + 4*B*a*d*e^3 + A*a*e^4)*x^5 + 1/4*(B*c*d^4 + 4*A*c*d^3*e + 6*B*a*d^2*e^2 + 4*A*a*d*e^3)*x^4 + 1/3*(A*c*d^4 + 4*B*a*d^3*e + 6*A*a*d^2*e^2)*x^3 + 1/2*(B*a*d^4 + 4*A*a*d^3*e)*x^2","A",0
1286,1,148,0,0.641315," ","integrate((B*x+A)*(e*x+d)^3*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{7} \, B c e^{3} x^{7} + \frac{1}{6} \, {\left(3 \, B c d e^{2} + A c e^{3}\right)} x^{6} + A a d^{3} x + \frac{1}{5} \, {\left(3 \, B c d^{2} e + 3 \, A c d e^{2} + B a e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(B c d^{3} + 3 \, A c d^{2} e + 3 \, B a d e^{2} + A a e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(A c d^{3} + 3 \, B a d^{2} e + 3 \, A a d e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a d^{3} + 3 \, A a d^{2} e\right)} x^{2}"," ",0,"1/7*B*c*e^3*x^7 + 1/6*(3*B*c*d*e^2 + A*c*e^3)*x^6 + A*a*d^3*x + 1/5*(3*B*c*d^2*e + 3*A*c*d*e^2 + B*a*e^3)*x^5 + 1/4*(B*c*d^3 + 3*A*c*d^2*e + 3*B*a*d*e^2 + A*a*e^3)*x^4 + 1/3*(A*c*d^3 + 3*B*a*d^2*e + 3*A*a*d*e^2)*x^3 + 1/2*(B*a*d^3 + 3*A*a*d^2*e)*x^2","A",0
1287,1,102,0,0.579191," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{6} \, B c e^{2} x^{6} + \frac{1}{5} \, {\left(2 \, B c d e + A c e^{2}\right)} x^{5} + A a d^{2} x + \frac{1}{4} \, {\left(B c d^{2} + 2 \, A c d e + B a e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(A c d^{2} + 2 \, B a d e + A a e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a d^{2} + 2 \, A a d e\right)} x^{2}"," ",0,"1/6*B*c*e^2*x^6 + 1/5*(2*B*c*d*e + A*c*e^2)*x^5 + A*a*d^2*x + 1/4*(B*c*d^2 + 2*A*c*d*e + B*a*e^2)*x^4 + 1/3*(A*c*d^2 + 2*B*a*d*e + A*a*e^2)*x^3 + 1/2*(B*a*d^2 + 2*A*a*d*e)*x^2","A",0
1288,1,56,0,0.490327," ","integrate((B*x+A)*(e*x+d)*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{5} \, B c e x^{5} + \frac{1}{4} \, {\left(B c d + A c e\right)} x^{4} + A a d x + \frac{1}{3} \, {\left(A c d + B a e\right)} x^{3} + \frac{1}{2} \, {\left(B a d + A a e\right)} x^{2}"," ",0,"1/5*B*c*e*x^5 + 1/4*(B*c*d + A*c*e)*x^4 + A*a*d*x + 1/3*(A*c*d + B*a*e)*x^3 + 1/2*(B*a*d + A*a*e)*x^2","A",0
1289,1,26,0,0.492577," ","integrate((B*x+A)*(c*x^2+a),x, algorithm=""maxima"")","\frac{1}{4} \, B c x^{4} + \frac{1}{3} \, A c x^{3} + \frac{1}{2} \, B a x^{2} + A a x"," ",0,"1/4*B*c*x^4 + 1/3*A*c*x^3 + 1/2*B*a*x^2 + A*a*x","A",0
1290,1,97,0,0.618645," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d),x, algorithm=""maxima"")","\frac{2 \, B c e^{2} x^{3} - 3 \, {\left(B c d e - A c e^{2}\right)} x^{2} + 6 \, {\left(B c d^{2} - A c d e + B a e^{2}\right)} x}{6 \, e^{3}} - \frac{{\left(B c d^{3} - A c d^{2} e + B a d e^{2} - A a e^{3}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(2*B*c*e^2*x^3 - 3*(B*c*d*e - A*c*e^2)*x^2 + 6*(B*c*d^2 - A*c*d*e + B*a*e^2)*x)/e^3 - (B*c*d^3 - A*c*d^2*e + B*a*d*e^2 - A*a*e^3)*log(e*x + d)/e^4","A",0
1291,1,101,0,0.538390," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B c d^{3} - A c d^{2} e + B a d e^{2} - A a e^{3}}{e^{5} x + d e^{4}} + \frac{B c e x^{2} - 2 \, {\left(2 \, B c d - A c e\right)} x}{2 \, e^{3}} + \frac{{\left(3 \, B c d^{2} - 2 \, A c d e + B a e^{2}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"(B*c*d^3 - A*c*d^2*e + B*a*d*e^2 - A*a*e^3)/(e^5*x + d*e^4) + 1/2*(B*c*e*x^2 - 2*(2*B*c*d - A*c*e)*x)/e^3 + (3*B*c*d^2 - 2*A*c*d*e + B*a*e^2)*log(e*x + d)/e^4","A",0
1292,1,111,0,0.628850," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{5 \, B c d^{3} - 3 \, A c d^{2} e + B a d e^{2} + A a e^{3} + 2 \, {\left(3 \, B c d^{2} e - 2 \, A c d e^{2} + B a e^{3}\right)} x}{2 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} + \frac{B c x}{e^{3}} - \frac{{\left(3 \, B c d - A c e\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"-1/2*(5*B*c*d^3 - 3*A*c*d^2*e + B*a*d*e^2 + A*a*e^3 + 2*(3*B*c*d^2*e - 2*A*c*d*e^2 + B*a*e^3)*x)/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) + B*c*x/e^3 - (3*B*c*d - A*c*e)*log(e*x + d)/e^4","A",0
1293,1,129,0,0.459825," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{11 \, B c d^{3} - 2 \, A c d^{2} e - B a d e^{2} - 2 \, A a e^{3} + 6 \, {\left(3 \, B c d e^{2} - A c e^{3}\right)} x^{2} + 3 \, {\left(9 \, B c d^{2} e - 2 \, A c d e^{2} - B a e^{3}\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)}} + \frac{B c \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(11*B*c*d^3 - 2*A*c*d^2*e - B*a*d*e^2 - 2*A*a*e^3 + 6*(3*B*c*d*e^2 - A*c*e^3)*x^2 + 3*(9*B*c*d^2*e - 2*A*c*d*e^2 - B*a*e^3)*x)/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) + B*c*log(e*x + d)/e^4","A",0
1294,1,132,0,0.572543," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{12 \, B c e^{3} x^{3} + 3 \, B c d^{3} + A c d^{2} e + B a d e^{2} + 3 \, A a e^{3} + 6 \, {\left(3 \, B c d e^{2} + A c e^{3}\right)} x^{2} + 4 \, {\left(3 \, B c d^{2} e + A c d e^{2} + B a e^{3}\right)} x}{12 \, {\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,"-1/12*(12*B*c*e^3*x^3 + 3*B*c*d^3 + A*c*d^2*e + B*a*d*e^2 + 3*A*a*e^3 + 6*(3*B*c*d*e^2 + A*c*e^3)*x^2 + 4*(3*B*c*d^2*e + A*c*d*e^2 + B*a*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)","A",0
1295,1,148,0,0.624183," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{30 \, B c e^{3} x^{3} + 3 \, B c d^{3} + 2 \, A c d^{2} e + 3 \, B a d e^{2} + 12 \, A a e^{3} + 10 \, {\left(3 \, B c d e^{2} + 2 \, A c e^{3}\right)} x^{2} + 5 \, {\left(3 \, B c d^{2} e + 2 \, A c d e^{2} + 3 \, B a e^{3}\right)} x}{60 \, {\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,"-1/60*(30*B*c*e^3*x^3 + 3*B*c*d^3 + 2*A*c*d^2*e + 3*B*a*d*e^2 + 12*A*a*e^3 + 10*(3*B*c*d*e^2 + 2*A*c*e^3)*x^2 + 5*(3*B*c*d^2*e + 2*A*c*d*e^2 + 3*B*a*e^3)*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)","A",0
1296,1,153,0,0.589281," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{20 \, B c e^{3} x^{3} + B c d^{3} + A c d^{2} e + 2 \, B a d e^{2} + 10 \, A a e^{3} + 15 \, {\left(B c d e^{2} + A c e^{3}\right)} x^{2} + 6 \, {\left(B c d^{2} e + A c d e^{2} + 2 \, B a e^{3}\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*B*c*e^3*x^3 + B*c*d^3 + A*c*d^2*e + 2*B*a*d*e^2 + 10*A*a*e^3 + 15*(B*c*d*e^2 + A*c*e^3)*x^2 + 6*(B*c*d^2*e + A*c*d*e^2 + 2*B*a*e^3)*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
1297,1,410,0,0.534057," ","integrate((B*x+A)*(e*x+d)^5*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{2} e^{5} x^{11} + \frac{1}{10} \, {\left(5 \, B c^{2} d e^{4} + A c^{2} e^{5}\right)} x^{10} + \frac{1}{9} \, {\left(10 \, B c^{2} d^{2} e^{3} + 5 \, A c^{2} d e^{4} + 2 \, B a c e^{5}\right)} x^{9} + A a^{2} d^{5} x + \frac{1}{4} \, {\left(5 \, B c^{2} d^{3} e^{2} + 5 \, A c^{2} d^{2} e^{3} + 5 \, B a c d e^{4} + A a c e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(5 \, B c^{2} d^{4} e + 10 \, A c^{2} d^{3} e^{2} + 20 \, B a c d^{2} e^{3} + 10 \, A a c d e^{4} + B a^{2} e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(B c^{2} d^{5} + 5 \, A c^{2} d^{4} e + 20 \, B a c d^{3} e^{2} + 20 \, A a c d^{2} e^{3} + 5 \, B a^{2} d e^{4} + A a^{2} e^{5}\right)} x^{6} + \frac{1}{5} \, {\left(A c^{2} d^{5} + 10 \, B a c d^{4} e + 20 \, A a c d^{3} e^{2} + 10 \, B a^{2} d^{2} e^{3} + 5 \, A a^{2} d e^{4}\right)} x^{5} + \frac{1}{2} \, {\left(B a c d^{5} + 5 \, A a c d^{4} e + 5 \, B a^{2} d^{3} e^{2} + 5 \, A a^{2} d^{2} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(2 \, A a c d^{5} + 5 \, B a^{2} d^{4} e + 10 \, A a^{2} d^{3} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{2} d^{5} + 5 \, A a^{2} d^{4} e\right)} x^{2}"," ",0,"1/11*B*c^2*e^5*x^11 + 1/10*(5*B*c^2*d*e^4 + A*c^2*e^5)*x^10 + 1/9*(10*B*c^2*d^2*e^3 + 5*A*c^2*d*e^4 + 2*B*a*c*e^5)*x^9 + A*a^2*d^5*x + 1/4*(5*B*c^2*d^3*e^2 + 5*A*c^2*d^2*e^3 + 5*B*a*c*d*e^4 + A*a*c*e^5)*x^8 + 1/7*(5*B*c^2*d^4*e + 10*A*c^2*d^3*e^2 + 20*B*a*c*d^2*e^3 + 10*A*a*c*d*e^4 + B*a^2*e^5)*x^7 + 1/6*(B*c^2*d^5 + 5*A*c^2*d^4*e + 20*B*a*c*d^3*e^2 + 20*A*a*c*d^2*e^3 + 5*B*a^2*d*e^4 + A*a^2*e^5)*x^6 + 1/5*(A*c^2*d^5 + 10*B*a*c*d^4*e + 20*A*a*c*d^3*e^2 + 10*B*a^2*d^2*e^3 + 5*A*a^2*d*e^4)*x^5 + 1/2*(B*a*c*d^5 + 5*A*a*c*d^4*e + 5*B*a^2*d^3*e^2 + 5*A*a^2*d^2*e^3)*x^4 + 1/3*(2*A*a*c*d^5 + 5*B*a^2*d^4*e + 10*A*a^2*d^3*e^2)*x^3 + 1/2*(B*a^2*d^5 + 5*A*a^2*d^4*e)*x^2","B",0
1298,1,332,0,0.512547," ","integrate((B*x+A)*(e*x+d)^4*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{2} e^{4} x^{10} + \frac{1}{9} \, {\left(4 \, B c^{2} d e^{3} + A c^{2} e^{4}\right)} x^{9} + \frac{1}{4} \, {\left(3 \, B c^{2} d^{2} e^{2} + 2 \, A c^{2} d e^{3} + B a c e^{4}\right)} x^{8} + A a^{2} d^{4} x + \frac{2}{7} \, {\left(2 \, B c^{2} d^{3} e + 3 \, A c^{2} d^{2} e^{2} + 4 \, B a c d e^{3} + A a c e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(B c^{2} d^{4} + 4 \, A c^{2} d^{3} e + 12 \, B a c d^{2} e^{2} + 8 \, A a c d e^{3} + B a^{2} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(A c^{2} d^{4} + 8 \, B a c d^{3} e + 12 \, A a c d^{2} e^{2} + 4 \, B a^{2} d e^{3} + A a^{2} e^{4}\right)} x^{5} + \frac{1}{2} \, {\left(B a c d^{4} + 4 \, A a c d^{3} e + 3 \, B a^{2} d^{2} e^{2} + 2 \, A a^{2} d e^{3}\right)} x^{4} + \frac{2}{3} \, {\left(A a c d^{4} + 2 \, B a^{2} d^{3} e + 3 \, A a^{2} d^{2} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{2} d^{4} + 4 \, A a^{2} d^{3} e\right)} x^{2}"," ",0,"1/10*B*c^2*e^4*x^10 + 1/9*(4*B*c^2*d*e^3 + A*c^2*e^4)*x^9 + 1/4*(3*B*c^2*d^2*e^2 + 2*A*c^2*d*e^3 + B*a*c*e^4)*x^8 + A*a^2*d^4*x + 2/7*(2*B*c^2*d^3*e + 3*A*c^2*d^2*e^2 + 4*B*a*c*d*e^3 + A*a*c*e^4)*x^7 + 1/6*(B*c^2*d^4 + 4*A*c^2*d^3*e + 12*B*a*c*d^2*e^2 + 8*A*a*c*d*e^3 + B*a^2*e^4)*x^6 + 1/5*(A*c^2*d^4 + 8*B*a*c*d^3*e + 12*A*a*c*d^2*e^2 + 4*B*a^2*d*e^3 + A*a^2*e^4)*x^5 + 1/2*(B*a*c*d^4 + 4*A*a*c*d^3*e + 3*B*a^2*d^2*e^2 + 2*A*a^2*d*e^3)*x^4 + 2/3*(A*a*c*d^4 + 2*B*a^2*d^3*e + 3*A*a^2*d^2*e^2)*x^3 + 1/2*(B*a^2*d^4 + 4*A*a^2*d^3*e)*x^2","A",0
1299,1,260,0,0.625854," ","integrate((B*x+A)*(e*x+d)^3*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{2} e^{3} x^{9} + \frac{1}{8} \, {\left(3 \, B c^{2} d e^{2} + A c^{2} e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(3 \, B c^{2} d^{2} e + 3 \, A c^{2} d e^{2} + 2 \, B a c e^{3}\right)} x^{7} + A a^{2} d^{3} x + \frac{1}{6} \, {\left(B c^{2} d^{3} + 3 \, A c^{2} d^{2} e + 6 \, B a c d e^{2} + 2 \, A a c e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(A c^{2} d^{3} + 6 \, B a c d^{2} e + 6 \, A a c d e^{2} + B a^{2} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(2 \, B a c d^{3} + 6 \, A a c d^{2} e + 3 \, B a^{2} d e^{2} + A a^{2} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(2 \, A a c d^{3} + 3 \, B a^{2} d^{2} e + 3 \, A a^{2} d e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{2} d^{3} + 3 \, A a^{2} d^{2} e\right)} x^{2}"," ",0,"1/9*B*c^2*e^3*x^9 + 1/8*(3*B*c^2*d*e^2 + A*c^2*e^3)*x^8 + 1/7*(3*B*c^2*d^2*e + 3*A*c^2*d*e^2 + 2*B*a*c*e^3)*x^7 + A*a^2*d^3*x + 1/6*(B*c^2*d^3 + 3*A*c^2*d^2*e + 6*B*a*c*d*e^2 + 2*A*a*c*e^3)*x^6 + 1/5*(A*c^2*d^3 + 6*B*a*c*d^2*e + 6*A*a*c*d*e^2 + B*a^2*e^3)*x^5 + 1/4*(2*B*a*c*d^3 + 6*A*a*c*d^2*e + 3*B*a^2*d*e^2 + A*a^2*e^3)*x^4 + 1/3*(2*A*a*c*d^3 + 3*B*a^2*d^2*e + 3*A*a^2*d*e^2)*x^3 + 1/2*(B*a^2*d^3 + 3*A*a^2*d^2*e)*x^2","A",0
1300,1,184,0,0.565883," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{2} e^{2} x^{8} + \frac{1}{7} \, {\left(2 \, B c^{2} d e + A c^{2} e^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B c^{2} d^{2} + 2 \, A c^{2} d e + 2 \, B a c e^{2}\right)} x^{6} + A a^{2} d^{2} x + \frac{1}{5} \, {\left(A c^{2} d^{2} + 4 \, B a c d e + 2 \, A a c e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(2 \, B a c d^{2} + 4 \, A a c d e + B a^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(2 \, A a c d^{2} + 2 \, B a^{2} d e + A a^{2} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{2} d^{2} + 2 \, A a^{2} d e\right)} x^{2}"," ",0,"1/8*B*c^2*e^2*x^8 + 1/7*(2*B*c^2*d*e + A*c^2*e^2)*x^7 + 1/6*(B*c^2*d^2 + 2*A*c^2*d*e + 2*B*a*c*e^2)*x^6 + A*a^2*d^2*x + 1/5*(A*c^2*d^2 + 4*B*a*c*d*e + 2*A*a*c*e^2)*x^5 + 1/4*(2*B*a*c*d^2 + 4*A*a*c*d*e + B*a^2*e^2)*x^4 + 1/3*(2*A*a*c*d^2 + 2*B*a^2*d*e + A*a^2*e^2)*x^3 + 1/2*(B*a^2*d^2 + 2*A*a^2*d*e)*x^2","A",0
1301,1,106,0,0.567506," ","integrate((B*x+A)*(e*x+d)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{2} e x^{7} + \frac{1}{6} \, {\left(B c^{2} d + A c^{2} e\right)} x^{6} + \frac{1}{5} \, {\left(A c^{2} d + 2 \, B a c e\right)} x^{5} + A a^{2} d x + \frac{1}{2} \, {\left(B a c d + A a c e\right)} x^{4} + \frac{1}{3} \, {\left(2 \, A a c d + B a^{2} e\right)} x^{3} + \frac{1}{2} \, {\left(B a^{2} d + A a^{2} e\right)} x^{2}"," ",0,"1/7*B*c^2*e*x^7 + 1/6*(B*c^2*d + A*c^2*e)*x^6 + 1/5*(A*c^2*d + 2*B*a*c*e)*x^5 + A*a^2*d*x + 1/2*(B*a*c*d + A*a*c*e)*x^4 + 1/3*(2*A*a*c*d + B*a^2*e)*x^3 + 1/2*(B*a^2*d + A*a^2*e)*x^2","A",0
1302,1,50,0,0.654605," ","integrate((B*x+A)*(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{2} x^{6} + \frac{1}{5} \, A c^{2} x^{5} + \frac{1}{2} \, B a c x^{4} + \frac{2}{3} \, A a c x^{3} + \frac{1}{2} \, B a^{2} x^{2} + A a^{2} x"," ",0,"1/6*B*c^2*x^6 + 1/5*A*c^2*x^5 + 1/2*B*a*c*x^4 + 2/3*A*a*c*x^3 + 1/2*B*a^2*x^2 + A*a^2*x","A",0
1303,1,242,0,0.557289," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d),x, algorithm=""maxima"")","\frac{12 \, B c^{2} e^{4} x^{5} - 15 \, {\left(B c^{2} d e^{3} - A c^{2} e^{4}\right)} x^{4} + 20 \, {\left(B c^{2} d^{2} e^{2} - A c^{2} d e^{3} + 2 \, B a c e^{4}\right)} x^{3} - 30 \, {\left(B c^{2} d^{3} e - A c^{2} d^{2} e^{2} + 2 \, B a c d e^{3} - 2 \, A a c e^{4}\right)} x^{2} + 60 \, {\left(B c^{2} d^{4} - A c^{2} d^{3} e + 2 \, B a c d^{2} e^{2} - 2 \, A a c d e^{3} + B a^{2} e^{4}\right)} x}{60 \, e^{5}} - \frac{{\left(B c^{2} d^{5} - A c^{2} d^{4} e + 2 \, B a c d^{3} e^{2} - 2 \, A a c d^{2} e^{3} + B a^{2} d e^{4} - A a^{2} e^{5}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/60*(12*B*c^2*e^4*x^5 - 15*(B*c^2*d*e^3 - A*c^2*e^4)*x^4 + 20*(B*c^2*d^2*e^2 - A*c^2*d*e^3 + 2*B*a*c*e^4)*x^3 - 30*(B*c^2*d^3*e - A*c^2*d^2*e^2 + 2*B*a*c*d*e^3 - 2*A*a*c*e^4)*x^2 + 60*(B*c^2*d^4 - A*c^2*d^3*e + 2*B*a*c*d^2*e^2 - 2*A*a*c*d*e^3 + B*a^2*e^4)*x)/e^5 - (B*c^2*d^5 - A*c^2*d^4*e + 2*B*a*c*d^3*e^2 - 2*A*a*c*d^2*e^3 + B*a^2*d*e^4 - A*a^2*e^5)*log(e*x + d)/e^6","A",0
1304,1,249,0,0.579151," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B c^{2} d^{5} - A c^{2} d^{4} e + 2 \, B a c d^{3} e^{2} - 2 \, A a c d^{2} e^{3} + B a^{2} d e^{4} - A a^{2} e^{5}}{e^{7} x + d e^{6}} + \frac{3 \, B c^{2} e^{3} x^{4} - 4 \, {\left(2 \, B c^{2} d e^{2} - A c^{2} e^{3}\right)} x^{3} + 6 \, {\left(3 \, B c^{2} d^{2} e - 2 \, A c^{2} d e^{2} + 2 \, B a c e^{3}\right)} x^{2} - 12 \, {\left(4 \, B c^{2} d^{3} - 3 \, A c^{2} d^{2} e + 4 \, B a c d e^{2} - 2 \, A a c e^{3}\right)} x}{12 \, e^{5}} + \frac{{\left(5 \, B c^{2} d^{4} - 4 \, A c^{2} d^{3} e + 6 \, B a c d^{2} e^{2} - 4 \, A a c d e^{3} + B a^{2} e^{4}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"(B*c^2*d^5 - A*c^2*d^4*e + 2*B*a*c*d^3*e^2 - 2*A*a*c*d^2*e^3 + B*a^2*d*e^4 - A*a^2*e^5)/(e^7*x + d*e^6) + 1/12*(3*B*c^2*e^3*x^4 - 4*(2*B*c^2*d*e^2 - A*c^2*e^3)*x^3 + 6*(3*B*c^2*d^2*e - 2*A*c^2*d*e^2 + 2*B*a*c*e^3)*x^2 - 12*(4*B*c^2*d^3 - 3*A*c^2*d^2*e + 4*B*a*c*d*e^2 - 2*A*a*c*e^3)*x)/e^5 + (5*B*c^2*d^4 - 4*A*c^2*d^3*e + 6*B*a*c*d^2*e^2 - 4*A*a*c*d*e^3 + B*a^2*e^4)*log(e*x + d)/e^6","A",0
1305,1,258,0,0.555068," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{9 \, B c^{2} d^{5} - 7 \, A c^{2} d^{4} e + 10 \, B a c d^{3} e^{2} - 6 \, A a c d^{2} e^{3} + B a^{2} d e^{4} + A a^{2} e^{5} + 2 \, {\left(5 \, B c^{2} d^{4} e - 4 \, A c^{2} d^{3} e^{2} + 6 \, B a c d^{2} e^{3} - 4 \, A a c d e^{4} + B a^{2} e^{5}\right)} x}{2 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)}} + \frac{2 \, B c^{2} e^{2} x^{3} - 3 \, {\left(3 \, B c^{2} d e - A c^{2} e^{2}\right)} x^{2} + 6 \, {\left(6 \, B c^{2} d^{2} - 3 \, A c^{2} d e + 2 \, B a c e^{2}\right)} x}{6 \, e^{5}} - \frac{2 \, {\left(5 \, B c^{2} d^{3} - 3 \, A c^{2} d^{2} e + 3 \, B a c d e^{2} - A a c e^{3}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"-1/2*(9*B*c^2*d^5 - 7*A*c^2*d^4*e + 10*B*a*c*d^3*e^2 - 6*A*a*c*d^2*e^3 + B*a^2*d*e^4 + A*a^2*e^5 + 2*(5*B*c^2*d^4*e - 4*A*c^2*d^3*e^2 + 6*B*a*c*d^2*e^3 - 4*A*a*c*d*e^4 + B*a^2*e^5)*x)/(e^8*x^2 + 2*d*e^7*x + d^2*e^6) + 1/6*(2*B*c^2*e^2*x^3 - 3*(3*B*c^2*d*e - A*c^2*e^2)*x^2 + 6*(6*B*c^2*d^2 - 3*A*c^2*d*e + 2*B*a*c*e^2)*x)/e^5 - 2*(5*B*c^2*d^3 - 3*A*c^2*d^2*e + 3*B*a*c*d*e^2 - A*a*c*e^3)*log(e*x + d)/e^6","A",0
1306,1,270,0,0.605538," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{47 \, B c^{2} d^{5} - 26 \, A c^{2} d^{4} e + 22 \, B a c d^{3} e^{2} - 4 \, A a c d^{2} e^{3} - B a^{2} d e^{4} - 2 \, A a^{2} e^{5} + 12 \, {\left(5 \, B c^{2} d^{3} e^{2} - 3 \, A c^{2} d^{2} e^{3} + 3 \, B a c d e^{4} - A a c e^{5}\right)} x^{2} + 3 \, {\left(35 \, B c^{2} d^{4} e - 20 \, A c^{2} d^{3} e^{2} + 18 \, B a c d^{2} e^{3} - 4 \, A a c d e^{4} - B a^{2} e^{5}\right)} x}{6 \, {\left(e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}\right)}} + \frac{B c^{2} e x^{2} - 2 \, {\left(4 \, B c^{2} d - A c^{2} e\right)} x}{2 \, e^{5}} + \frac{2 \, {\left(5 \, B c^{2} d^{2} - 2 \, A c^{2} d e + B a c e^{2}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/6*(47*B*c^2*d^5 - 26*A*c^2*d^4*e + 22*B*a*c*d^3*e^2 - 4*A*a*c*d^2*e^3 - B*a^2*d*e^4 - 2*A*a^2*e^5 + 12*(5*B*c^2*d^3*e^2 - 3*A*c^2*d^2*e^3 + 3*B*a*c*d*e^4 - A*a*c*e^5)*x^2 + 3*(35*B*c^2*d^4*e - 20*A*c^2*d^3*e^2 + 18*B*a*c*d^2*e^3 - 4*A*a*c*d*e^4 - B*a^2*e^5)*x)/(e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6) + 1/2*(B*c^2*e*x^2 - 2*(4*B*c^2*d - A*c^2*e)*x)/e^5 + 2*(5*B*c^2*d^2 - 2*A*c^2*d*e + B*a*c*e^2)*log(e*x + d)/e^6","A",0
1307,1,279,0,0.580793," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{77 \, B c^{2} d^{5} - 25 \, A c^{2} d^{4} e + 6 \, B a c d^{3} e^{2} + 2 \, A a c d^{2} e^{3} + B a^{2} d e^{4} + 3 \, A a^{2} e^{5} + 24 \, {\left(5 \, B c^{2} d^{2} e^{3} - 2 \, A c^{2} d e^{4} + B a c e^{5}\right)} x^{3} + 12 \, {\left(25 \, B c^{2} d^{3} e^{2} - 9 \, A c^{2} d^{2} e^{3} + 3 \, B a c d e^{4} + A a c e^{5}\right)} x^{2} + 4 \, {\left(65 \, B c^{2} d^{4} e - 22 \, A c^{2} d^{3} e^{2} + 6 \, B a c d^{2} e^{3} + 2 \, A a c d e^{4} + B a^{2} e^{5}\right)} x}{12 \, {\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)}} + \frac{B c^{2} x}{e^{5}} - \frac{{\left(5 \, B c^{2} d - A c^{2} e\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"-1/12*(77*B*c^2*d^5 - 25*A*c^2*d^4*e + 6*B*a*c*d^3*e^2 + 2*A*a*c*d^2*e^3 + B*a^2*d*e^4 + 3*A*a^2*e^5 + 24*(5*B*c^2*d^2*e^3 - 2*A*c^2*d*e^4 + B*a*c*e^5)*x^3 + 12*(25*B*c^2*d^3*e^2 - 9*A*c^2*d^2*e^3 + 3*B*a*c*d*e^4 + A*a*c*e^5)*x^2 + 4*(65*B*c^2*d^4*e - 22*A*c^2*d^3*e^2 + 6*B*a*c*d^2*e^3 + 2*A*a*c*d*e^4 + B*a^2*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) + B*c^2*x/e^5 - (5*B*c^2*d - A*c^2*e)*log(e*x + d)/e^6","A",0
1308,1,298,0,0.641022," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^6,x, algorithm=""maxima"")","\frac{137 \, B c^{2} d^{5} - 12 \, A c^{2} d^{4} e - 6 \, B a c d^{3} e^{2} - 4 \, A a c d^{2} e^{3} - 3 \, B a^{2} d e^{4} - 12 \, A a^{2} e^{5} + 60 \, {\left(5 \, B c^{2} d e^{4} - A c^{2} e^{5}\right)} x^{4} + 60 \, {\left(15 \, B c^{2} d^{2} e^{3} - 2 \, A c^{2} d e^{4} - B a c e^{5}\right)} x^{3} + 20 \, {\left(55 \, B c^{2} d^{3} e^{2} - 6 \, A c^{2} d^{2} e^{3} - 3 \, B a c d e^{4} - 2 \, A a c e^{5}\right)} x^{2} + 5 \, {\left(125 \, B c^{2} d^{4} e - 12 \, A c^{2} d^{3} e^{2} - 6 \, B a c d^{2} e^{3} - 4 \, A a c d e^{4} - 3 \, B a^{2} e^{5}\right)} x}{60 \, {\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)}} + \frac{B c^{2} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/60*(137*B*c^2*d^5 - 12*A*c^2*d^4*e - 6*B*a*c*d^3*e^2 - 4*A*a*c*d^2*e^3 - 3*B*a^2*d*e^4 - 12*A*a^2*e^5 + 60*(5*B*c^2*d*e^4 - A*c^2*e^5)*x^4 + 60*(15*B*c^2*d^2*e^3 - 2*A*c^2*d*e^4 - B*a*c*e^5)*x^3 + 20*(55*B*c^2*d^3*e^2 - 6*A*c^2*d^2*e^3 - 3*B*a*c*d*e^4 - 2*A*a*c*e^5)*x^2 + 5*(125*B*c^2*d^4*e - 12*A*c^2*d^3*e^2 - 6*B*a*c*d^2*e^3 - 4*A*a*c*d*e^4 - 3*B*a^2*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) + B*c^2*log(e*x + d)/e^6","A",0
1309,1,292,0,0.656009," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{30 \, B c^{2} e^{5} x^{5} + 5 \, B c^{2} d^{5} + A c^{2} d^{4} e + B a c d^{3} e^{2} + A a c d^{2} e^{3} + B a^{2} d e^{4} + 5 \, A a^{2} e^{5} + 15 \, {\left(5 \, B c^{2} d e^{4} + A c^{2} e^{5}\right)} x^{4} + 20 \, {\left(5 \, B c^{2} d^{2} e^{3} + A c^{2} d e^{4} + B a c e^{5}\right)} x^{3} + 15 \, {\left(5 \, B c^{2} d^{3} e^{2} + A c^{2} d^{2} e^{3} + B a c d e^{4} + A a c e^{5}\right)} x^{2} + 6 \, {\left(5 \, B c^{2} d^{4} e + A c^{2} d^{3} e^{2} + B a c d^{2} e^{3} + A a c d e^{4} + B a^{2} e^{5}\right)} x}{30 \, {\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)}}"," ",0,"-1/30*(30*B*c^2*e^5*x^5 + 5*B*c^2*d^5 + A*c^2*d^4*e + B*a*c*d^3*e^2 + A*a*c*d^2*e^3 + B*a^2*d*e^4 + 5*A*a^2*e^5 + 15*(5*B*c^2*d*e^4 + A*c^2*e^5)*x^4 + 20*(5*B*c^2*d^2*e^3 + A*c^2*d*e^4 + B*a*c*e^5)*x^3 + 15*(5*B*c^2*d^3*e^2 + A*c^2*d^2*e^3 + B*a*c*d*e^4 + A*a*c*e^5)*x^2 + 6*(5*B*c^2*d^4*e + A*c^2*d^3*e^2 + B*a*c*d^2*e^3 + A*a*c*d*e^4 + B*a^2*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)","A",0
1310,1,317,0,0.576999," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{105 \, B c^{2} e^{5} x^{5} + 5 \, B c^{2} d^{5} + 2 \, A c^{2} d^{4} e + 3 \, B a c d^{3} e^{2} + 4 \, A a c d^{2} e^{3} + 5 \, B a^{2} d e^{4} + 30 \, A a^{2} e^{5} + 35 \, {\left(5 \, B c^{2} d e^{4} + 2 \, A c^{2} e^{5}\right)} x^{4} + 35 \, {\left(5 \, B c^{2} d^{2} e^{3} + 2 \, A c^{2} d e^{4} + 3 \, B a c e^{5}\right)} x^{3} + 21 \, {\left(5 \, B c^{2} d^{3} e^{2} + 2 \, A c^{2} d^{2} e^{3} + 3 \, B a c d e^{4} + 4 \, A a c e^{5}\right)} x^{2} + 7 \, {\left(5 \, B c^{2} d^{4} e + 2 \, A c^{2} d^{3} e^{2} + 3 \, B a c d^{2} e^{3} + 4 \, A a c d e^{4} + 5 \, B a^{2} e^{5}\right)} x}{210 \, {\left(e^{13} x^{7} + 7 \, d e^{12} x^{6} + 21 \, d^{2} e^{11} x^{5} + 35 \, d^{3} e^{10} x^{4} + 35 \, d^{4} e^{9} x^{3} + 21 \, d^{5} e^{8} x^{2} + 7 \, d^{6} e^{7} x + d^{7} e^{6}\right)}}"," ",0,"-1/210*(105*B*c^2*e^5*x^5 + 5*B*c^2*d^5 + 2*A*c^2*d^4*e + 3*B*a*c*d^3*e^2 + 4*A*a*c*d^2*e^3 + 5*B*a^2*d*e^4 + 30*A*a^2*e^5 + 35*(5*B*c^2*d*e^4 + 2*A*c^2*e^5)*x^4 + 35*(5*B*c^2*d^2*e^3 + 2*A*c^2*d*e^4 + 3*B*a*c*e^5)*x^3 + 21*(5*B*c^2*d^3*e^2 + 2*A*c^2*d^2*e^3 + 3*B*a*c*d*e^4 + 4*A*a*c*e^5)*x^2 + 7*(5*B*c^2*d^4*e + 2*A*c^2*d^3*e^2 + 3*B*a*c*d^2*e^3 + 4*A*a*c*d*e^4 + 5*B*a^2*e^5)*x)/(e^13*x^7 + 7*d*e^12*x^6 + 21*d^2*e^11*x^5 + 35*d^3*e^10*x^4 + 35*d^4*e^9*x^3 + 21*d^5*e^8*x^2 + 7*d^6*e^7*x + d^7*e^6)","A",0
1311,1,328,0,0.548232," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{280 \, B c^{2} e^{5} x^{5} + 5 \, B c^{2} d^{5} + 3 \, A c^{2} d^{4} e + 6 \, B a c d^{3} e^{2} + 10 \, A a c d^{2} e^{3} + 15 \, B a^{2} d e^{4} + 105 \, A a^{2} e^{5} + 70 \, {\left(5 \, B c^{2} d e^{4} + 3 \, A c^{2} e^{5}\right)} x^{4} + 56 \, {\left(5 \, B c^{2} d^{2} e^{3} + 3 \, A c^{2} d e^{4} + 6 \, B a c e^{5}\right)} x^{3} + 28 \, {\left(5 \, B c^{2} d^{3} e^{2} + 3 \, A c^{2} d^{2} e^{3} + 6 \, B a c d e^{4} + 10 \, A a c e^{5}\right)} x^{2} + 8 \, {\left(5 \, B c^{2} d^{4} e + 3 \, A c^{2} d^{3} e^{2} + 6 \, B a c d^{2} e^{3} + 10 \, A a c d e^{4} + 15 \, B a^{2} e^{5}\right)} x}{840 \, {\left(e^{14} x^{8} + 8 \, d e^{13} x^{7} + 28 \, d^{2} e^{12} x^{6} + 56 \, d^{3} e^{11} x^{5} + 70 \, d^{4} e^{10} x^{4} + 56 \, d^{5} e^{9} x^{3} + 28 \, d^{6} e^{8} x^{2} + 8 \, d^{7} e^{7} x + d^{8} e^{6}\right)}}"," ",0,"-1/840*(280*B*c^2*e^5*x^5 + 5*B*c^2*d^5 + 3*A*c^2*d^4*e + 6*B*a*c*d^3*e^2 + 10*A*a*c*d^2*e^3 + 15*B*a^2*d*e^4 + 105*A*a^2*e^5 + 70*(5*B*c^2*d*e^4 + 3*A*c^2*e^5)*x^4 + 56*(5*B*c^2*d^2*e^3 + 3*A*c^2*d*e^4 + 6*B*a*c*e^5)*x^3 + 28*(5*B*c^2*d^3*e^2 + 3*A*c^2*d^2*e^3 + 6*B*a*c*d*e^4 + 10*A*a*c*e^5)*x^2 + 8*(5*B*c^2*d^4*e + 3*A*c^2*d^3*e^2 + 6*B*a*c*d^2*e^3 + 10*A*a*c*d*e^4 + 15*B*a^2*e^5)*x)/(e^14*x^8 + 8*d*e^13*x^7 + 28*d^2*e^12*x^6 + 56*d^3*e^11*x^5 + 70*d^4*e^10*x^4 + 56*d^5*e^9*x^3 + 28*d^6*e^8*x^2 + 8*d^7*e^7*x + d^8*e^6)","A",0
1312,1,339,0,0.776251," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{630 \, B c^{2} e^{5} x^{5} + 5 \, B c^{2} d^{5} + 4 \, A c^{2} d^{4} e + 10 \, B a c d^{3} e^{2} + 20 \, A a c d^{2} e^{3} + 35 \, B a^{2} d e^{4} + 280 \, A a^{2} e^{5} + 126 \, {\left(5 \, B c^{2} d e^{4} + 4 \, A c^{2} e^{5}\right)} x^{4} + 84 \, {\left(5 \, B c^{2} d^{2} e^{3} + 4 \, A c^{2} d e^{4} + 10 \, B a c e^{5}\right)} x^{3} + 36 \, {\left(5 \, B c^{2} d^{3} e^{2} + 4 \, A c^{2} d^{2} e^{3} + 10 \, B a c d e^{4} + 20 \, A a c e^{5}\right)} x^{2} + 9 \, {\left(5 \, B c^{2} d^{4} e + 4 \, A c^{2} d^{3} e^{2} + 10 \, B a c d^{2} e^{3} + 20 \, A a c d e^{4} + 35 \, B a^{2} e^{5}\right)} x}{2520 \, {\left(e^{15} x^{9} + 9 \, d e^{14} x^{8} + 36 \, d^{2} e^{13} x^{7} + 84 \, d^{3} e^{12} x^{6} + 126 \, d^{4} e^{11} x^{5} + 126 \, d^{5} e^{10} x^{4} + 84 \, d^{6} e^{9} x^{3} + 36 \, d^{7} e^{8} x^{2} + 9 \, d^{8} e^{7} x + d^{9} e^{6}\right)}}"," ",0,"-1/2520*(630*B*c^2*e^5*x^5 + 5*B*c^2*d^5 + 4*A*c^2*d^4*e + 10*B*a*c*d^3*e^2 + 20*A*a*c*d^2*e^3 + 35*B*a^2*d*e^4 + 280*A*a^2*e^5 + 126*(5*B*c^2*d*e^4 + 4*A*c^2*e^5)*x^4 + 84*(5*B*c^2*d^2*e^3 + 4*A*c^2*d*e^4 + 10*B*a*c*e^5)*x^3 + 36*(5*B*c^2*d^3*e^2 + 4*A*c^2*d^2*e^3 + 10*B*a*c*d*e^4 + 20*A*a*c*e^5)*x^2 + 9*(5*B*c^2*d^4*e + 4*A*c^2*d^3*e^2 + 10*B*a*c*d^2*e^3 + 20*A*a*c*d*e^4 + 35*B*a^2*e^5)*x)/(e^15*x^9 + 9*d*e^14*x^8 + 36*d^2*e^13*x^7 + 84*d^3*e^12*x^6 + 126*d^4*e^11*x^5 + 126*d^5*e^10*x^4 + 84*d^6*e^9*x^3 + 36*d^7*e^8*x^2 + 9*d^8*e^7*x + d^9*e^6)","A",0
1313,1,584,0,0.655431," ","integrate((B*x+A)*(e*x+d)^5*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{13} \, B c^{3} e^{5} x^{13} + \frac{1}{12} \, {\left(5 \, B c^{3} d e^{4} + A c^{3} e^{5}\right)} x^{12} + \frac{1}{11} \, {\left(10 \, B c^{3} d^{2} e^{3} + 5 \, A c^{3} d e^{4} + 3 \, B a c^{2} e^{5}\right)} x^{11} + \frac{1}{10} \, {\left(10 \, B c^{3} d^{3} e^{2} + 10 \, A c^{3} d^{2} e^{3} + 15 \, B a c^{2} d e^{4} + 3 \, A a c^{2} e^{5}\right)} x^{10} + A a^{3} d^{5} x + \frac{1}{9} \, {\left(5 \, B c^{3} d^{4} e + 10 \, A c^{3} d^{3} e^{2} + 30 \, B a c^{2} d^{2} e^{3} + 15 \, A a c^{2} d e^{4} + 3 \, B a^{2} c e^{5}\right)} x^{9} + \frac{1}{8} \, {\left(B c^{3} d^{5} + 5 \, A c^{3} d^{4} e + 30 \, B a c^{2} d^{3} e^{2} + 30 \, A a c^{2} d^{2} e^{3} + 15 \, B a^{2} c d e^{4} + 3 \, A a^{2} c e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(A c^{3} d^{5} + 15 \, B a c^{2} d^{4} e + 30 \, A a c^{2} d^{3} e^{2} + 30 \, B a^{2} c d^{2} e^{3} + 15 \, A a^{2} c d e^{4} + B a^{3} e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(3 \, B a c^{2} d^{5} + 15 \, A a c^{2} d^{4} e + 30 \, B a^{2} c d^{3} e^{2} + 30 \, A a^{2} c d^{2} e^{3} + 5 \, B a^{3} d e^{4} + A a^{3} e^{5}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, A a c^{2} d^{5} + 15 \, B a^{2} c d^{4} e + 30 \, A a^{2} c d^{3} e^{2} + 10 \, B a^{3} d^{2} e^{3} + 5 \, A a^{3} d e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(3 \, B a^{2} c d^{5} + 15 \, A a^{2} c d^{4} e + 10 \, B a^{3} d^{3} e^{2} + 10 \, A a^{3} d^{2} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, A a^{2} c d^{5} + 5 \, B a^{3} d^{4} e + 10 \, A a^{3} d^{3} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{3} d^{5} + 5 \, A a^{3} d^{4} e\right)} x^{2}"," ",0,"1/13*B*c^3*e^5*x^13 + 1/12*(5*B*c^3*d*e^4 + A*c^3*e^5)*x^12 + 1/11*(10*B*c^3*d^2*e^3 + 5*A*c^3*d*e^4 + 3*B*a*c^2*e^5)*x^11 + 1/10*(10*B*c^3*d^3*e^2 + 10*A*c^3*d^2*e^3 + 15*B*a*c^2*d*e^4 + 3*A*a*c^2*e^5)*x^10 + A*a^3*d^5*x + 1/9*(5*B*c^3*d^4*e + 10*A*c^3*d^3*e^2 + 30*B*a*c^2*d^2*e^3 + 15*A*a*c^2*d*e^4 + 3*B*a^2*c*e^5)*x^9 + 1/8*(B*c^3*d^5 + 5*A*c^3*d^4*e + 30*B*a*c^2*d^3*e^2 + 30*A*a*c^2*d^2*e^3 + 15*B*a^2*c*d*e^4 + 3*A*a^2*c*e^5)*x^8 + 1/7*(A*c^3*d^5 + 15*B*a*c^2*d^4*e + 30*A*a*c^2*d^3*e^2 + 30*B*a^2*c*d^2*e^3 + 15*A*a^2*c*d*e^4 + B*a^3*e^5)*x^7 + 1/6*(3*B*a*c^2*d^5 + 15*A*a*c^2*d^4*e + 30*B*a^2*c*d^3*e^2 + 30*A*a^2*c*d^2*e^3 + 5*B*a^3*d*e^4 + A*a^3*e^5)*x^6 + 1/5*(3*A*a*c^2*d^5 + 15*B*a^2*c*d^4*e + 30*A*a^2*c*d^3*e^2 + 10*B*a^3*d^2*e^3 + 5*A*a^3*d*e^4)*x^5 + 1/4*(3*B*a^2*c*d^5 + 15*A*a^2*c*d^4*e + 10*B*a^3*d^3*e^2 + 10*A*a^3*d^2*e^3)*x^4 + 1/3*(3*A*a^2*c*d^5 + 5*B*a^3*d^4*e + 10*A*a^3*d^3*e^2)*x^3 + 1/2*(B*a^3*d^5 + 5*A*a^3*d^4*e)*x^2","A",0
1314,1,478,0,0.632982," ","integrate((B*x+A)*(e*x+d)^4*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{12} \, B c^{3} e^{4} x^{12} + \frac{1}{11} \, {\left(4 \, B c^{3} d e^{3} + A c^{3} e^{4}\right)} x^{11} + \frac{1}{10} \, {\left(6 \, B c^{3} d^{2} e^{2} + 4 \, A c^{3} d e^{3} + 3 \, B a c^{2} e^{4}\right)} x^{10} + \frac{1}{9} \, {\left(4 \, B c^{3} d^{3} e + 6 \, A c^{3} d^{2} e^{2} + 12 \, B a c^{2} d e^{3} + 3 \, A a c^{2} e^{4}\right)} x^{9} + A a^{3} d^{4} x + \frac{1}{8} \, {\left(B c^{3} d^{4} + 4 \, A c^{3} d^{3} e + 18 \, B a c^{2} d^{2} e^{2} + 12 \, A a c^{2} d e^{3} + 3 \, B a^{2} c e^{4}\right)} x^{8} + \frac{1}{7} \, {\left(A c^{3} d^{4} + 12 \, B a c^{2} d^{3} e + 18 \, A a c^{2} d^{2} e^{2} + 12 \, B a^{2} c d e^{3} + 3 \, A a^{2} c e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(3 \, B a c^{2} d^{4} + 12 \, A a c^{2} d^{3} e + 18 \, B a^{2} c d^{2} e^{2} + 12 \, A a^{2} c d e^{3} + B a^{3} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, A a c^{2} d^{4} + 12 \, B a^{2} c d^{3} e + 18 \, A a^{2} c d^{2} e^{2} + 4 \, B a^{3} d e^{3} + A a^{3} e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(3 \, B a^{2} c d^{4} + 12 \, A a^{2} c d^{3} e + 6 \, B a^{3} d^{2} e^{2} + 4 \, A a^{3} d e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, A a^{2} c d^{4} + 4 \, B a^{3} d^{3} e + 6 \, A a^{3} d^{2} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{3} d^{4} + 4 \, A a^{3} d^{3} e\right)} x^{2}"," ",0,"1/12*B*c^3*e^4*x^12 + 1/11*(4*B*c^3*d*e^3 + A*c^3*e^4)*x^11 + 1/10*(6*B*c^3*d^2*e^2 + 4*A*c^3*d*e^3 + 3*B*a*c^2*e^4)*x^10 + 1/9*(4*B*c^3*d^3*e + 6*A*c^3*d^2*e^2 + 12*B*a*c^2*d*e^3 + 3*A*a*c^2*e^4)*x^9 + A*a^3*d^4*x + 1/8*(B*c^3*d^4 + 4*A*c^3*d^3*e + 18*B*a*c^2*d^2*e^2 + 12*A*a*c^2*d*e^3 + 3*B*a^2*c*e^4)*x^8 + 1/7*(A*c^3*d^4 + 12*B*a*c^2*d^3*e + 18*A*a*c^2*d^2*e^2 + 12*B*a^2*c*d*e^3 + 3*A*a^2*c*e^4)*x^7 + 1/6*(3*B*a*c^2*d^4 + 12*A*a*c^2*d^3*e + 18*B*a^2*c*d^2*e^2 + 12*A*a^2*c*d*e^3 + B*a^3*e^4)*x^6 + 1/5*(3*A*a*c^2*d^4 + 12*B*a^2*c*d^3*e + 18*A*a^2*c*d^2*e^2 + 4*B*a^3*d*e^3 + A*a^3*e^4)*x^5 + 1/4*(3*B*a^2*c*d^4 + 12*A*a^2*c*d^3*e + 6*B*a^3*d^2*e^2 + 4*A*a^3*d*e^3)*x^4 + 1/3*(3*A*a^2*c*d^4 + 4*B*a^3*d^3*e + 6*A*a^3*d^2*e^2)*x^3 + 1/2*(B*a^3*d^4 + 4*A*a^3*d^3*e)*x^2","A",0
1315,1,363,0,0.489138," ","integrate((B*x+A)*(e*x+d)^3*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{3} e^{3} x^{11} + \frac{1}{10} \, {\left(3 \, B c^{3} d e^{2} + A c^{3} e^{3}\right)} x^{10} + \frac{1}{3} \, {\left(B c^{3} d^{2} e + A c^{3} d e^{2} + B a c^{2} e^{3}\right)} x^{9} + \frac{1}{8} \, {\left(B c^{3} d^{3} + 3 \, A c^{3} d^{2} e + 9 \, B a c^{2} d e^{2} + 3 \, A a c^{2} e^{3}\right)} x^{8} + A a^{3} d^{3} x + \frac{1}{7} \, {\left(A c^{3} d^{3} + 9 \, B a c^{2} d^{2} e + 9 \, A a c^{2} d e^{2} + 3 \, B a^{2} c e^{3}\right)} x^{7} + \frac{1}{2} \, {\left(B a c^{2} d^{3} + 3 \, A a c^{2} d^{2} e + 3 \, B a^{2} c d e^{2} + A a^{2} c e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, A a c^{2} d^{3} + 9 \, B a^{2} c d^{2} e + 9 \, A a^{2} c d e^{2} + B a^{3} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(3 \, B a^{2} c d^{3} + 9 \, A a^{2} c d^{2} e + 3 \, B a^{3} d e^{2} + A a^{3} e^{3}\right)} x^{4} + {\left(A a^{2} c d^{3} + B a^{3} d^{2} e + A a^{3} d e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{3} d^{3} + 3 \, A a^{3} d^{2} e\right)} x^{2}"," ",0,"1/11*B*c^3*e^3*x^11 + 1/10*(3*B*c^3*d*e^2 + A*c^3*e^3)*x^10 + 1/3*(B*c^3*d^2*e + A*c^3*d*e^2 + B*a*c^2*e^3)*x^9 + 1/8*(B*c^3*d^3 + 3*A*c^3*d^2*e + 9*B*a*c^2*d*e^2 + 3*A*a*c^2*e^3)*x^8 + A*a^3*d^3*x + 1/7*(A*c^3*d^3 + 9*B*a*c^2*d^2*e + 9*A*a*c^2*d*e^2 + 3*B*a^2*c*e^3)*x^7 + 1/2*(B*a*c^2*d^3 + 3*A*a*c^2*d^2*e + 3*B*a^2*c*d*e^2 + A*a^2*c*e^3)*x^6 + 1/5*(3*A*a*c^2*d^3 + 9*B*a^2*c*d^2*e + 9*A*a^2*c*d*e^2 + B*a^3*e^3)*x^5 + 1/4*(3*B*a^2*c*d^3 + 9*A*a^2*c*d^2*e + 3*B*a^3*d*e^2 + A*a^3*e^3)*x^4 + (A*a^2*c*d^3 + B*a^3*d^2*e + A*a^3*d*e^2)*x^3 + 1/2*(B*a^3*d^3 + 3*A*a^3*d^2*e)*x^2","A",0
1316,1,262,0,0.490179," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{3} e^{2} x^{10} + \frac{1}{9} \, {\left(2 \, B c^{3} d e + A c^{3} e^{2}\right)} x^{9} + \frac{1}{8} \, {\left(B c^{3} d^{2} + 2 \, A c^{3} d e + 3 \, B a c^{2} e^{2}\right)} x^{8} + \frac{1}{7} \, {\left(A c^{3} d^{2} + 6 \, B a c^{2} d e + 3 \, A a c^{2} e^{2}\right)} x^{7} + A a^{3} d^{2} x + \frac{1}{2} \, {\left(B a c^{2} d^{2} + 2 \, A a c^{2} d e + B a^{2} c e^{2}\right)} x^{6} + \frac{3}{5} \, {\left(A a c^{2} d^{2} + 2 \, B a^{2} c d e + A a^{2} c e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(3 \, B a^{2} c d^{2} + 6 \, A a^{2} c d e + B a^{3} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, A a^{2} c d^{2} + 2 \, B a^{3} d e + A a^{3} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{3} d^{2} + 2 \, A a^{3} d e\right)} x^{2}"," ",0,"1/10*B*c^3*e^2*x^10 + 1/9*(2*B*c^3*d*e + A*c^3*e^2)*x^9 + 1/8*(B*c^3*d^2 + 2*A*c^3*d*e + 3*B*a*c^2*e^2)*x^8 + 1/7*(A*c^3*d^2 + 6*B*a*c^2*d*e + 3*A*a*c^2*e^2)*x^7 + A*a^3*d^2*x + 1/2*(B*a*c^2*d^2 + 2*A*a*c^2*d*e + B*a^2*c*e^2)*x^6 + 3/5*(A*a*c^2*d^2 + 2*B*a^2*c*d*e + A*a^2*c*e^2)*x^5 + 1/4*(3*B*a^2*c*d^2 + 6*A*a^2*c*d*e + B*a^3*e^2)*x^4 + 1/3*(3*A*a^2*c*d^2 + 2*B*a^3*d*e + A*a^3*e^2)*x^3 + 1/2*(B*a^3*d^2 + 2*A*a^3*d*e)*x^2","A",0
1317,1,154,0,0.529891," ","integrate((B*x+A)*(e*x+d)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{3} e x^{9} + \frac{1}{8} \, {\left(B c^{3} d + A c^{3} e\right)} x^{8} + \frac{1}{7} \, {\left(A c^{3} d + 3 \, B a c^{2} e\right)} x^{7} + \frac{1}{2} \, {\left(B a c^{2} d + A a c^{2} e\right)} x^{6} + A a^{3} d x + \frac{3}{5} \, {\left(A a c^{2} d + B a^{2} c e\right)} x^{5} + \frac{3}{4} \, {\left(B a^{2} c d + A a^{2} c e\right)} x^{4} + \frac{1}{3} \, {\left(3 \, A a^{2} c d + B a^{3} e\right)} x^{3} + \frac{1}{2} \, {\left(B a^{3} d + A a^{3} e\right)} x^{2}"," ",0,"1/9*B*c^3*e*x^9 + 1/8*(B*c^3*d + A*c^3*e)*x^8 + 1/7*(A*c^3*d + 3*B*a*c^2*e)*x^7 + 1/2*(B*a*c^2*d + A*a*c^2*e)*x^6 + A*a^3*d*x + 3/5*(A*a*c^2*d + B*a^2*c*e)*x^5 + 3/4*(B*a^2*c*d + A*a^2*c*e)*x^4 + 1/3*(3*A*a^2*c*d + B*a^3*e)*x^3 + 1/2*(B*a^3*d + A*a^3*e)*x^2","A",0
1318,1,73,0,0.636646," ","integrate((B*x+A)*(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{3} x^{8} + \frac{1}{7} \, A c^{3} x^{7} + \frac{1}{2} \, B a c^{2} x^{6} + \frac{3}{5} \, A a c^{2} x^{5} + \frac{3}{4} \, B a^{2} c x^{4} + A a^{2} c x^{3} + \frac{1}{2} \, B a^{3} x^{2} + A a^{3} x"," ",0,"1/8*B*c^3*x^8 + 1/7*A*c^3*x^7 + 1/2*B*a*c^2*x^6 + 3/5*A*a*c^2*x^5 + 3/4*B*a^2*c*x^4 + A*a^2*c*x^3 + 1/2*B*a^3*x^2 + A*a^3*x","A",0
1319,1,447,0,0.557101," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d),x, algorithm=""maxima"")","\frac{60 \, B c^{3} e^{6} x^{7} - 70 \, {\left(B c^{3} d e^{5} - A c^{3} e^{6}\right)} x^{6} + 84 \, {\left(B c^{3} d^{2} e^{4} - A c^{3} d e^{5} + 3 \, B a c^{2} e^{6}\right)} x^{5} - 105 \, {\left(B c^{3} d^{3} e^{3} - A c^{3} d^{2} e^{4} + 3 \, B a c^{2} d e^{5} - 3 \, A a c^{2} e^{6}\right)} x^{4} + 140 \, {\left(B c^{3} d^{4} e^{2} - A c^{3} d^{3} e^{3} + 3 \, B a c^{2} d^{2} e^{4} - 3 \, A a c^{2} d e^{5} + 3 \, B a^{2} c e^{6}\right)} x^{3} - 210 \, {\left(B c^{3} d^{5} e - A c^{3} d^{4} e^{2} + 3 \, B a c^{2} d^{3} e^{3} - 3 \, A a c^{2} d^{2} e^{4} + 3 \, B a^{2} c d e^{5} - 3 \, A a^{2} c e^{6}\right)} x^{2} + 420 \, {\left(B c^{3} d^{6} - A c^{3} d^{5} e + 3 \, B a c^{2} d^{4} e^{2} - 3 \, A a c^{2} d^{3} e^{3} + 3 \, B a^{2} c d^{2} e^{4} - 3 \, A a^{2} c d e^{5} + B a^{3} e^{6}\right)} x}{420 \, e^{7}} - \frac{{\left(B c^{3} d^{7} - A c^{3} d^{6} e + 3 \, B a c^{2} d^{5} e^{2} - 3 \, A a c^{2} d^{4} e^{3} + 3 \, B a^{2} c d^{3} e^{4} - 3 \, A a^{2} c d^{2} e^{5} + B a^{3} d e^{6} - A a^{3} e^{7}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/420*(60*B*c^3*e^6*x^7 - 70*(B*c^3*d*e^5 - A*c^3*e^6)*x^6 + 84*(B*c^3*d^2*e^4 - A*c^3*d*e^5 + 3*B*a*c^2*e^6)*x^5 - 105*(B*c^3*d^3*e^3 - A*c^3*d^2*e^4 + 3*B*a*c^2*d*e^5 - 3*A*a*c^2*e^6)*x^4 + 140*(B*c^3*d^4*e^2 - A*c^3*d^3*e^3 + 3*B*a*c^2*d^2*e^4 - 3*A*a*c^2*d*e^5 + 3*B*a^2*c*e^6)*x^3 - 210*(B*c^3*d^5*e - A*c^3*d^4*e^2 + 3*B*a*c^2*d^3*e^3 - 3*A*a*c^2*d^2*e^4 + 3*B*a^2*c*d*e^5 - 3*A*a^2*c*e^6)*x^2 + 420*(B*c^3*d^6 - A*c^3*d^5*e + 3*B*a*c^2*d^4*e^2 - 3*A*a*c^2*d^3*e^3 + 3*B*a^2*c*d^2*e^4 - 3*A*a^2*c*d*e^5 + B*a^3*e^6)*x)/e^7 - (B*c^3*d^7 - A*c^3*d^6*e + 3*B*a*c^2*d^5*e^2 - 3*A*a*c^2*d^4*e^3 + 3*B*a^2*c*d^3*e^4 - 3*A*a^2*c*d^2*e^5 + B*a^3*d*e^6 - A*a^3*e^7)*log(e*x + d)/e^8","A",0
1320,1,456,0,0.562566," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B c^{3} d^{7} - A c^{3} d^{6} e + 3 \, B a c^{2} d^{5} e^{2} - 3 \, A a c^{2} d^{4} e^{3} + 3 \, B a^{2} c d^{3} e^{4} - 3 \, A a^{2} c d^{2} e^{5} + B a^{3} d e^{6} - A a^{3} e^{7}}{e^{9} x + d e^{8}} + \frac{10 \, B c^{3} e^{5} x^{6} - 12 \, {\left(2 \, B c^{3} d e^{4} - A c^{3} e^{5}\right)} x^{5} + 15 \, {\left(3 \, B c^{3} d^{2} e^{3} - 2 \, A c^{3} d e^{4} + 3 \, B a c^{2} e^{5}\right)} x^{4} - 20 \, {\left(4 \, B c^{3} d^{3} e^{2} - 3 \, A c^{3} d^{2} e^{3} + 6 \, B a c^{2} d e^{4} - 3 \, A a c^{2} e^{5}\right)} x^{3} + 30 \, {\left(5 \, B c^{3} d^{4} e - 4 \, A c^{3} d^{3} e^{2} + 9 \, B a c^{2} d^{2} e^{3} - 6 \, A a c^{2} d e^{4} + 3 \, B a^{2} c e^{5}\right)} x^{2} - 60 \, {\left(6 \, B c^{3} d^{5} - 5 \, A c^{3} d^{4} e + 12 \, B a c^{2} d^{3} e^{2} - 9 \, A a c^{2} d^{2} e^{3} + 6 \, B a^{2} c d e^{4} - 3 \, A a^{2} c e^{5}\right)} x}{60 \, e^{7}} + \frac{{\left(7 \, B c^{3} d^{6} - 6 \, A c^{3} d^{5} e + 15 \, B a c^{2} d^{4} e^{2} - 12 \, A a c^{2} d^{3} e^{3} + 9 \, B a^{2} c d^{2} e^{4} - 6 \, A a^{2} c d e^{5} + B a^{3} e^{6}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"(B*c^3*d^7 - A*c^3*d^6*e + 3*B*a*c^2*d^5*e^2 - 3*A*a*c^2*d^4*e^3 + 3*B*a^2*c*d^3*e^4 - 3*A*a^2*c*d^2*e^5 + B*a^3*d*e^6 - A*a^3*e^7)/(e^9*x + d*e^8) + 1/60*(10*B*c^3*e^5*x^6 - 12*(2*B*c^3*d*e^4 - A*c^3*e^5)*x^5 + 15*(3*B*c^3*d^2*e^3 - 2*A*c^3*d*e^4 + 3*B*a*c^2*e^5)*x^4 - 20*(4*B*c^3*d^3*e^2 - 3*A*c^3*d^2*e^3 + 6*B*a*c^2*d*e^4 - 3*A*a*c^2*e^5)*x^3 + 30*(5*B*c^3*d^4*e - 4*A*c^3*d^3*e^2 + 9*B*a*c^2*d^2*e^3 - 6*A*a*c^2*d*e^4 + 3*B*a^2*c*e^5)*x^2 - 60*(6*B*c^3*d^5 - 5*A*c^3*d^4*e + 12*B*a*c^2*d^3*e^2 - 9*A*a*c^2*d^2*e^3 + 6*B*a^2*c*d*e^4 - 3*A*a^2*c*e^5)*x)/e^7 + (7*B*c^3*d^6 - 6*A*c^3*d^5*e + 15*B*a*c^2*d^4*e^2 - 12*A*a*c^2*d^3*e^3 + 9*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5 + B*a^3*e^6)*log(e*x + d)/e^8","A",0
1321,1,464,0,0.688975," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{13 \, B c^{3} d^{7} - 11 \, A c^{3} d^{6} e + 27 \, B a c^{2} d^{5} e^{2} - 21 \, A a c^{2} d^{4} e^{3} + 15 \, B a^{2} c d^{3} e^{4} - 9 \, A a^{2} c d^{2} e^{5} + B a^{3} d e^{6} + A a^{3} e^{7} + 2 \, {\left(7 \, B c^{3} d^{6} e - 6 \, A c^{3} d^{5} e^{2} + 15 \, B a c^{2} d^{4} e^{3} - 12 \, A a c^{2} d^{3} e^{4} + 9 \, B a^{2} c d^{2} e^{5} - 6 \, A a^{2} c d e^{6} + B a^{3} e^{7}\right)} x}{2 \, {\left(e^{10} x^{2} + 2 \, d e^{9} x + d^{2} e^{8}\right)}} + \frac{4 \, B c^{3} e^{4} x^{5} - 5 \, {\left(3 \, B c^{3} d e^{3} - A c^{3} e^{4}\right)} x^{4} + 20 \, {\left(2 \, B c^{3} d^{2} e^{2} - A c^{3} d e^{3} + B a c^{2} e^{4}\right)} x^{3} - 10 \, {\left(10 \, B c^{3} d^{3} e - 6 \, A c^{3} d^{2} e^{2} + 9 \, B a c^{2} d e^{3} - 3 \, A a c^{2} e^{4}\right)} x^{2} + 20 \, {\left(15 \, B c^{3} d^{4} - 10 \, A c^{3} d^{3} e + 18 \, B a c^{2} d^{2} e^{2} - 9 \, A a c^{2} d e^{3} + 3 \, B a^{2} c e^{4}\right)} x}{20 \, e^{7}} - \frac{3 \, {\left(7 \, B c^{3} d^{5} - 5 \, A c^{3} d^{4} e + 10 \, B a c^{2} d^{3} e^{2} - 6 \, A a c^{2} d^{2} e^{3} + 3 \, B a^{2} c d e^{4} - A a^{2} c e^{5}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"-1/2*(13*B*c^3*d^7 - 11*A*c^3*d^6*e + 27*B*a*c^2*d^5*e^2 - 21*A*a*c^2*d^4*e^3 + 15*B*a^2*c*d^3*e^4 - 9*A*a^2*c*d^2*e^5 + B*a^3*d*e^6 + A*a^3*e^7 + 2*(7*B*c^3*d^6*e - 6*A*c^3*d^5*e^2 + 15*B*a*c^2*d^4*e^3 - 12*A*a*c^2*d^3*e^4 + 9*B*a^2*c*d^2*e^5 - 6*A*a^2*c*d*e^6 + B*a^3*e^7)*x)/(e^10*x^2 + 2*d*e^9*x + d^2*e^8) + 1/20*(4*B*c^3*e^4*x^5 - 5*(3*B*c^3*d*e^3 - A*c^3*e^4)*x^4 + 20*(2*B*c^3*d^2*e^2 - A*c^3*d*e^3 + B*a*c^2*e^4)*x^3 - 10*(10*B*c^3*d^3*e - 6*A*c^3*d^2*e^2 + 9*B*a*c^2*d*e^3 - 3*A*a*c^2*e^4)*x^2 + 20*(15*B*c^3*d^4 - 10*A*c^3*d^3*e + 18*B*a*c^2*d^2*e^2 - 9*A*a*c^2*d*e^3 + 3*B*a^2*c*e^4)*x)/e^7 - 3*(7*B*c^3*d^5 - 5*A*c^3*d^4*e + 10*B*a*c^2*d^3*e^2 - 6*A*a*c^2*d^2*e^3 + 3*B*a^2*c*d*e^4 - A*a^2*c*e^5)*log(e*x + d)/e^8","A",0
1322,1,478,0,0.660161," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^4,x, algorithm=""maxima"")","\frac{107 \, B c^{3} d^{7} - 74 \, A c^{3} d^{6} e + 141 \, B a c^{2} d^{5} e^{2} - 78 \, A a c^{2} d^{4} e^{3} + 33 \, B a^{2} c d^{3} e^{4} - 6 \, A a^{2} c d^{2} e^{5} - B a^{3} d e^{6} - 2 \, A a^{3} e^{7} + 18 \, {\left(7 \, B c^{3} d^{5} e^{2} - 5 \, A c^{3} d^{4} e^{3} + 10 \, B a c^{2} d^{3} e^{4} - 6 \, A a c^{2} d^{2} e^{5} + 3 \, B a^{2} c d e^{6} - A a^{2} c e^{7}\right)} x^{2} + 3 \, {\left(77 \, B c^{3} d^{6} e - 54 \, A c^{3} d^{5} e^{2} + 105 \, B a c^{2} d^{4} e^{3} - 60 \, A a c^{2} d^{3} e^{4} + 27 \, B a^{2} c d^{2} e^{5} - 6 \, A a^{2} c d e^{6} - B a^{3} e^{7}\right)} x}{6 \, {\left(e^{11} x^{3} + 3 \, d e^{10} x^{2} + 3 \, d^{2} e^{9} x + d^{3} e^{8}\right)}} + \frac{3 \, B c^{3} e^{3} x^{4} - 4 \, {\left(4 \, B c^{3} d e^{2} - A c^{3} e^{3}\right)} x^{3} + 6 \, {\left(10 \, B c^{3} d^{2} e - 4 \, A c^{3} d e^{2} + 3 \, B a c^{2} e^{3}\right)} x^{2} - 12 \, {\left(20 \, B c^{3} d^{3} - 10 \, A c^{3} d^{2} e + 12 \, B a c^{2} d e^{2} - 3 \, A a c^{2} e^{3}\right)} x}{12 \, e^{7}} + \frac{{\left(35 \, B c^{3} d^{4} - 20 \, A c^{3} d^{3} e + 30 \, B a c^{2} d^{2} e^{2} - 12 \, A a c^{2} d e^{3} + 3 \, B a^{2} c e^{4}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/6*(107*B*c^3*d^7 - 74*A*c^3*d^6*e + 141*B*a*c^2*d^5*e^2 - 78*A*a*c^2*d^4*e^3 + 33*B*a^2*c*d^3*e^4 - 6*A*a^2*c*d^2*e^5 - B*a^3*d*e^6 - 2*A*a^3*e^7 + 18*(7*B*c^3*d^5*e^2 - 5*A*c^3*d^4*e^3 + 10*B*a*c^2*d^3*e^4 - 6*A*a*c^2*d^2*e^5 + 3*B*a^2*c*d*e^6 - A*a^2*c*e^7)*x^2 + 3*(77*B*c^3*d^6*e - 54*A*c^3*d^5*e^2 + 105*B*a*c^2*d^4*e^3 - 60*A*a*c^2*d^3*e^4 + 27*B*a^2*c*d^2*e^5 - 6*A*a^2*c*d*e^6 - B*a^3*e^7)*x)/(e^11*x^3 + 3*d*e^10*x^2 + 3*d^2*e^9*x + d^3*e^8) + 1/12*(3*B*c^3*e^3*x^4 - 4*(4*B*c^3*d*e^2 - A*c^3*e^3)*x^3 + 6*(10*B*c^3*d^2*e - 4*A*c^3*d*e^2 + 3*B*a*c^2*e^3)*x^2 - 12*(20*B*c^3*d^3 - 10*A*c^3*d^2*e + 12*B*a*c^2*d*e^2 - 3*A*a*c^2*e^3)*x)/e^7 + (35*B*c^3*d^4 - 20*A*c^3*d^3*e + 30*B*a*c^2*d^2*e^2 - 12*A*a*c^2*d*e^3 + 3*B*a^2*c*e^4)*log(e*x + d)/e^8","A",0
1323,1,487,0,0.606294," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{319 \, B c^{3} d^{7} - 171 \, A c^{3} d^{6} e + 231 \, B a c^{2} d^{5} e^{2} - 75 \, A a c^{2} d^{4} e^{3} + 9 \, B a^{2} c d^{3} e^{4} + 3 \, A a^{2} c d^{2} e^{5} + B a^{3} d e^{6} + 3 \, A a^{3} e^{7} + 12 \, {\left(35 \, B c^{3} d^{4} e^{3} - 20 \, A c^{3} d^{3} e^{4} + 30 \, B a c^{2} d^{2} e^{5} - 12 \, A a c^{2} d e^{6} + 3 \, B a^{2} c e^{7}\right)} x^{3} + 18 \, {\left(63 \, B c^{3} d^{5} e^{2} - 35 \, A c^{3} d^{4} e^{3} + 50 \, B a c^{2} d^{3} e^{4} - 18 \, A a c^{2} d^{2} e^{5} + 3 \, B a^{2} c d e^{6} + A a^{2} c e^{7}\right)} x^{2} + 4 \, {\left(259 \, B c^{3} d^{6} e - 141 \, A c^{3} d^{5} e^{2} + 195 \, B a c^{2} d^{4} e^{3} - 66 \, A a c^{2} d^{3} e^{4} + 9 \, B a^{2} c d^{2} e^{5} + 3 \, A a^{2} c d e^{6} + B a^{3} e^{7}\right)} x}{12 \, {\left(e^{12} x^{4} + 4 \, d e^{11} x^{3} + 6 \, d^{2} e^{10} x^{2} + 4 \, d^{3} e^{9} x + d^{4} e^{8}\right)}} + \frac{2 \, B c^{3} e^{2} x^{3} - 3 \, {\left(5 \, B c^{3} d e - A c^{3} e^{2}\right)} x^{2} + 6 \, {\left(15 \, B c^{3} d^{2} - 5 \, A c^{3} d e + 3 \, B a c^{2} e^{2}\right)} x}{6 \, e^{7}} - \frac{{\left(35 \, B c^{3} d^{3} - 15 \, A c^{3} d^{2} e + 15 \, B a c^{2} d e^{2} - 3 \, A a c^{2} e^{3}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"-1/12*(319*B*c^3*d^7 - 171*A*c^3*d^6*e + 231*B*a*c^2*d^5*e^2 - 75*A*a*c^2*d^4*e^3 + 9*B*a^2*c*d^3*e^4 + 3*A*a^2*c*d^2*e^5 + B*a^3*d*e^6 + 3*A*a^3*e^7 + 12*(35*B*c^3*d^4*e^3 - 20*A*c^3*d^3*e^4 + 30*B*a*c^2*d^2*e^5 - 12*A*a*c^2*d*e^6 + 3*B*a^2*c*e^7)*x^3 + 18*(63*B*c^3*d^5*e^2 - 35*A*c^3*d^4*e^3 + 50*B*a*c^2*d^3*e^4 - 18*A*a*c^2*d^2*e^5 + 3*B*a^2*c*d*e^6 + A*a^2*c*e^7)*x^2 + 4*(259*B*c^3*d^6*e - 141*A*c^3*d^5*e^2 + 195*B*a*c^2*d^4*e^3 - 66*A*a*c^2*d^3*e^4 + 9*B*a^2*c*d^2*e^5 + 3*A*a^2*c*d*e^6 + B*a^3*e^7)*x)/(e^12*x^4 + 4*d*e^11*x^3 + 6*d^2*e^10*x^2 + 4*d^3*e^9*x + d^4*e^8) + 1/6*(2*B*c^3*e^2*x^3 - 3*(5*B*c^3*d*e - A*c^3*e^2)*x^2 + 6*(15*B*c^3*d^2 - 5*A*c^3*d*e + 3*B*a*c^2*e^2)*x)/e^7 - (35*B*c^3*d^3 - 15*A*c^3*d^2*e + 15*B*a*c^2*d*e^2 - 3*A*a*c^2*e^3)*log(e*x + d)/e^8","A",0
1324,1,499,0,0.790835," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^6,x, algorithm=""maxima"")","\frac{459 \, B c^{3} d^{7} - 174 \, A c^{3} d^{6} e + 137 \, B a c^{2} d^{5} e^{2} - 12 \, A a c^{2} d^{4} e^{3} - 3 \, B a^{2} c d^{3} e^{4} - 2 \, A a^{2} c d^{2} e^{5} - B a^{3} d e^{6} - 4 \, A a^{3} e^{7} + 20 \, {\left(35 \, B c^{3} d^{3} e^{4} - 15 \, A c^{3} d^{2} e^{5} + 15 \, B a c^{2} d e^{6} - 3 \, A a c^{2} e^{7}\right)} x^{4} + 10 \, {\left(245 \, B c^{3} d^{4} e^{3} - 100 \, A c^{3} d^{3} e^{4} + 90 \, B a c^{2} d^{2} e^{5} - 12 \, A a c^{2} d e^{6} - 3 \, B a^{2} c e^{7}\right)} x^{3} + 10 \, {\left(329 \, B c^{3} d^{5} e^{2} - 130 \, A c^{3} d^{4} e^{3} + 110 \, B a c^{2} d^{3} e^{4} - 12 \, A a c^{2} d^{2} e^{5} - 3 \, B a^{2} c d e^{6} - 2 \, A a^{2} c e^{7}\right)} x^{2} + 5 \, {\left(399 \, B c^{3} d^{6} e - 154 \, A c^{3} d^{5} e^{2} + 125 \, B a c^{2} d^{4} e^{3} - 12 \, A a c^{2} d^{3} e^{4} - 3 \, B a^{2} c d^{2} e^{5} - 2 \, A a^{2} c d e^{6} - B a^{3} e^{7}\right)} x}{20 \, {\left(e^{13} x^{5} + 5 \, d e^{12} x^{4} + 10 \, d^{2} e^{11} x^{3} + 10 \, d^{3} e^{10} x^{2} + 5 \, d^{4} e^{9} x + d^{5} e^{8}\right)}} + \frac{B c^{3} e x^{2} - 2 \, {\left(6 \, B c^{3} d - A c^{3} e\right)} x}{2 \, e^{7}} + \frac{3 \, {\left(7 \, B c^{3} d^{2} - 2 \, A c^{3} d e + B a c^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/20*(459*B*c^3*d^7 - 174*A*c^3*d^6*e + 137*B*a*c^2*d^5*e^2 - 12*A*a*c^2*d^4*e^3 - 3*B*a^2*c*d^3*e^4 - 2*A*a^2*c*d^2*e^5 - B*a^3*d*e^6 - 4*A*a^3*e^7 + 20*(35*B*c^3*d^3*e^4 - 15*A*c^3*d^2*e^5 + 15*B*a*c^2*d*e^6 - 3*A*a*c^2*e^7)*x^4 + 10*(245*B*c^3*d^4*e^3 - 100*A*c^3*d^3*e^4 + 90*B*a*c^2*d^2*e^5 - 12*A*a*c^2*d*e^6 - 3*B*a^2*c*e^7)*x^3 + 10*(329*B*c^3*d^5*e^2 - 130*A*c^3*d^4*e^3 + 110*B*a*c^2*d^3*e^4 - 12*A*a*c^2*d^2*e^5 - 3*B*a^2*c*d*e^6 - 2*A*a^2*c*e^7)*x^2 + 5*(399*B*c^3*d^6*e - 154*A*c^3*d^5*e^2 + 125*B*a*c^2*d^4*e^3 - 12*A*a*c^2*d^3*e^4 - 3*B*a^2*c*d^2*e^5 - 2*A*a^2*c*d*e^6 - B*a^3*e^7)*x)/(e^13*x^5 + 5*d*e^12*x^4 + 10*d^2*e^11*x^3 + 10*d^3*e^10*x^2 + 5*d^4*e^9*x + d^5*e^8) + 1/2*(B*c^3*e*x^2 - 2*(6*B*c^3*d - A*c^3*e)*x)/e^7 + 3*(7*B*c^3*d^2 - 2*A*c^3*d*e + B*a*c^2*e^2)*log(e*x + d)/e^8","A",0
1325,1,511,0,0.773181," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{669 \, B c^{3} d^{7} - 147 \, A c^{3} d^{6} e + 30 \, B a c^{2} d^{5} e^{2} + 6 \, A a c^{2} d^{4} e^{3} + 3 \, B a^{2} c d^{3} e^{4} + 3 \, A a^{2} c d^{2} e^{5} + 2 \, B a^{3} d e^{6} + 10 \, A a^{3} e^{7} + 180 \, {\left(7 \, B c^{3} d^{2} e^{5} - 2 \, A c^{3} d e^{6} + B a c^{2} e^{7}\right)} x^{5} + 30 \, {\left(175 \, B c^{3} d^{3} e^{4} - 45 \, A c^{3} d^{2} e^{5} + 15 \, B a c^{2} d e^{6} + 3 \, A a c^{2} e^{7}\right)} x^{4} + 20 \, {\left(455 \, B c^{3} d^{4} e^{3} - 110 \, A c^{3} d^{3} e^{4} + 30 \, B a c^{2} d^{2} e^{5} + 6 \, A a c^{2} d e^{6} + 3 \, B a^{2} c e^{7}\right)} x^{3} + 15 \, {\left(539 \, B c^{3} d^{5} e^{2} - 125 \, A c^{3} d^{4} e^{3} + 30 \, B a c^{2} d^{3} e^{4} + 6 \, A a c^{2} d^{2} e^{5} + 3 \, B a^{2} c d e^{6} + 3 \, A a^{2} c e^{7}\right)} x^{2} + 6 \, {\left(609 \, B c^{3} d^{6} e - 137 \, A c^{3} d^{5} e^{2} + 30 \, B a c^{2} d^{4} e^{3} + 6 \, A a c^{2} d^{3} e^{4} + 3 \, B a^{2} c d^{2} e^{5} + 3 \, A a^{2} c d e^{6} + 2 \, B a^{3} e^{7}\right)} x}{60 \, {\left(e^{14} x^{6} + 6 \, d e^{13} x^{5} + 15 \, d^{2} e^{12} x^{4} + 20 \, d^{3} e^{11} x^{3} + 15 \, d^{4} e^{10} x^{2} + 6 \, d^{5} e^{9} x + d^{6} e^{8}\right)}} + \frac{B c^{3} x}{e^{7}} - \frac{{\left(7 \, B c^{3} d - A c^{3} e\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"-1/60*(669*B*c^3*d^7 - 147*A*c^3*d^6*e + 30*B*a*c^2*d^5*e^2 + 6*A*a*c^2*d^4*e^3 + 3*B*a^2*c*d^3*e^4 + 3*A*a^2*c*d^2*e^5 + 2*B*a^3*d*e^6 + 10*A*a^3*e^7 + 180*(7*B*c^3*d^2*e^5 - 2*A*c^3*d*e^6 + B*a*c^2*e^7)*x^5 + 30*(175*B*c^3*d^3*e^4 - 45*A*c^3*d^2*e^5 + 15*B*a*c^2*d*e^6 + 3*A*a*c^2*e^7)*x^4 + 20*(455*B*c^3*d^4*e^3 - 110*A*c^3*d^3*e^4 + 30*B*a*c^2*d^2*e^5 + 6*A*a*c^2*d*e^6 + 3*B*a^2*c*e^7)*x^3 + 15*(539*B*c^3*d^5*e^2 - 125*A*c^3*d^4*e^3 + 30*B*a*c^2*d^3*e^4 + 6*A*a*c^2*d^2*e^5 + 3*B*a^2*c*d*e^6 + 3*A*a^2*c*e^7)*x^2 + 6*(609*B*c^3*d^6*e - 137*A*c^3*d^5*e^2 + 30*B*a*c^2*d^4*e^3 + 6*A*a*c^2*d^3*e^4 + 3*B*a^2*c*d^2*e^5 + 3*A*a^2*c*d*e^6 + 2*B*a^3*e^7)*x)/(e^14*x^6 + 6*d*e^13*x^5 + 15*d^2*e^12*x^4 + 20*d^3*e^11*x^3 + 15*d^4*e^10*x^2 + 6*d^5*e^9*x + d^6*e^8) + B*c^3*x/e^7 - (7*B*c^3*d - A*c^3*e)*log(e*x + d)/e^8","A",0
1326,1,527,0,0.675812," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^8,x, algorithm=""maxima"")","\frac{1089 \, B c^{3} d^{7} - 60 \, A c^{3} d^{6} e - 30 \, B a c^{2} d^{5} e^{2} - 12 \, A a c^{2} d^{4} e^{3} - 9 \, B a^{2} c d^{3} e^{4} - 12 \, A a^{2} c d^{2} e^{5} - 10 \, B a^{3} d e^{6} - 60 \, A a^{3} e^{7} + 420 \, {\left(7 \, B c^{3} d e^{6} - A c^{3} e^{7}\right)} x^{6} + 630 \, {\left(21 \, B c^{3} d^{2} e^{5} - 2 \, A c^{3} d e^{6} - B a c^{2} e^{7}\right)} x^{5} + 70 \, {\left(385 \, B c^{3} d^{3} e^{4} - 30 \, A c^{3} d^{2} e^{5} - 15 \, B a c^{2} d e^{6} - 6 \, A a c^{2} e^{7}\right)} x^{4} + 35 \, {\left(875 \, B c^{3} d^{4} e^{3} - 60 \, A c^{3} d^{3} e^{4} - 30 \, B a c^{2} d^{2} e^{5} - 12 \, A a c^{2} d e^{6} - 9 \, B a^{2} c e^{7}\right)} x^{3} + 21 \, {\left(959 \, B c^{3} d^{5} e^{2} - 60 \, A c^{3} d^{4} e^{3} - 30 \, B a c^{2} d^{3} e^{4} - 12 \, A a c^{2} d^{2} e^{5} - 9 \, B a^{2} c d e^{6} - 12 \, A a^{2} c e^{7}\right)} x^{2} + 7 \, {\left(1029 \, B c^{3} d^{6} e - 60 \, A c^{3} d^{5} e^{2} - 30 \, B a c^{2} d^{4} e^{3} - 12 \, A a c^{2} d^{3} e^{4} - 9 \, B a^{2} c d^{2} e^{5} - 12 \, A a^{2} c d e^{6} - 10 \, B a^{3} e^{7}\right)} x}{420 \, {\left(e^{15} x^{7} + 7 \, d e^{14} x^{6} + 21 \, d^{2} e^{13} x^{5} + 35 \, d^{3} e^{12} x^{4} + 35 \, d^{4} e^{11} x^{3} + 21 \, d^{5} e^{10} x^{2} + 7 \, d^{6} e^{9} x + d^{7} e^{8}\right)}} + \frac{B c^{3} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/420*(1089*B*c^3*d^7 - 60*A*c^3*d^6*e - 30*B*a*c^2*d^5*e^2 - 12*A*a*c^2*d^4*e^3 - 9*B*a^2*c*d^3*e^4 - 12*A*a^2*c*d^2*e^5 - 10*B*a^3*d*e^6 - 60*A*a^3*e^7 + 420*(7*B*c^3*d*e^6 - A*c^3*e^7)*x^6 + 630*(21*B*c^3*d^2*e^5 - 2*A*c^3*d*e^6 - B*a*c^2*e^7)*x^5 + 70*(385*B*c^3*d^3*e^4 - 30*A*c^3*d^2*e^5 - 15*B*a*c^2*d*e^6 - 6*A*a*c^2*e^7)*x^4 + 35*(875*B*c^3*d^4*e^3 - 60*A*c^3*d^3*e^4 - 30*B*a*c^2*d^2*e^5 - 12*A*a*c^2*d*e^6 - 9*B*a^2*c*e^7)*x^3 + 21*(959*B*c^3*d^5*e^2 - 60*A*c^3*d^4*e^3 - 30*B*a*c^2*d^3*e^4 - 12*A*a*c^2*d^2*e^5 - 9*B*a^2*c*d*e^6 - 12*A*a^2*c*e^7)*x^2 + 7*(1029*B*c^3*d^6*e - 60*A*c^3*d^5*e^2 - 30*B*a*c^2*d^4*e^3 - 12*A*a*c^2*d^3*e^4 - 9*B*a^2*c*d^2*e^5 - 12*A*a^2*c*d*e^6 - 10*B*a^3*e^7)*x)/(e^15*x^7 + 7*d*e^14*x^6 + 21*d^2*e^13*x^5 + 35*d^3*e^12*x^4 + 35*d^4*e^11*x^3 + 21*d^5*e^10*x^2 + 7*d^6*e^9*x + d^7*e^8) + B*c^3*log(e*x + d)/e^8","A",0
1327,1,532,0,0.663461," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{280 \, B c^{3} e^{7} x^{7} + 35 \, B c^{3} d^{7} + 5 \, A c^{3} d^{6} e + 5 \, B a c^{2} d^{5} e^{2} + 3 \, A a c^{2} d^{4} e^{3} + 3 \, B a^{2} c d^{3} e^{4} + 5 \, A a^{2} c d^{2} e^{5} + 5 \, B a^{3} d e^{6} + 35 \, A a^{3} e^{7} + 140 \, {\left(7 \, B c^{3} d e^{6} + A c^{3} e^{7}\right)} x^{6} + 280 \, {\left(7 \, B c^{3} d^{2} e^{5} + A c^{3} d e^{6} + B a c^{2} e^{7}\right)} x^{5} + 70 \, {\left(35 \, B c^{3} d^{3} e^{4} + 5 \, A c^{3} d^{2} e^{5} + 5 \, B a c^{2} d e^{6} + 3 \, A a c^{2} e^{7}\right)} x^{4} + 56 \, {\left(35 \, B c^{3} d^{4} e^{3} + 5 \, A c^{3} d^{3} e^{4} + 5 \, B a c^{2} d^{2} e^{5} + 3 \, A a c^{2} d e^{6} + 3 \, B a^{2} c e^{7}\right)} x^{3} + 28 \, {\left(35 \, B c^{3} d^{5} e^{2} + 5 \, A c^{3} d^{4} e^{3} + 5 \, B a c^{2} d^{3} e^{4} + 3 \, A a c^{2} d^{2} e^{5} + 3 \, B a^{2} c d e^{6} + 5 \, A a^{2} c e^{7}\right)} x^{2} + 8 \, {\left(35 \, B c^{3} d^{6} e + 5 \, A c^{3} d^{5} e^{2} + 5 \, B a c^{2} d^{4} e^{3} + 3 \, A a c^{2} d^{3} e^{4} + 3 \, B a^{2} c d^{2} e^{5} + 5 \, A a^{2} c d e^{6} + 5 \, B a^{3} e^{7}\right)} x}{280 \, {\left(e^{16} x^{8} + 8 \, d e^{15} x^{7} + 28 \, d^{2} e^{14} x^{6} + 56 \, d^{3} e^{13} x^{5} + 70 \, d^{4} e^{12} x^{4} + 56 \, d^{5} e^{11} x^{3} + 28 \, d^{6} e^{10} x^{2} + 8 \, d^{7} e^{9} x + d^{8} e^{8}\right)}}"," ",0,"-1/280*(280*B*c^3*e^7*x^7 + 35*B*c^3*d^7 + 5*A*c^3*d^6*e + 5*B*a*c^2*d^5*e^2 + 3*A*a*c^2*d^4*e^3 + 3*B*a^2*c*d^3*e^4 + 5*A*a^2*c*d^2*e^5 + 5*B*a^3*d*e^6 + 35*A*a^3*e^7 + 140*(7*B*c^3*d*e^6 + A*c^3*e^7)*x^6 + 280*(7*B*c^3*d^2*e^5 + A*c^3*d*e^6 + B*a*c^2*e^7)*x^5 + 70*(35*B*c^3*d^3*e^4 + 5*A*c^3*d^2*e^5 + 5*B*a*c^2*d*e^6 + 3*A*a*c^2*e^7)*x^4 + 56*(35*B*c^3*d^4*e^3 + 5*A*c^3*d^3*e^4 + 5*B*a*c^2*d^2*e^5 + 3*A*a*c^2*d*e^6 + 3*B*a^2*c*e^7)*x^3 + 28*(35*B*c^3*d^5*e^2 + 5*A*c^3*d^4*e^3 + 5*B*a*c^2*d^3*e^4 + 3*A*a*c^2*d^2*e^5 + 3*B*a^2*c*d*e^6 + 5*A*a^2*c*e^7)*x^2 + 8*(35*B*c^3*d^6*e + 5*A*c^3*d^5*e^2 + 5*B*a*c^2*d^4*e^3 + 3*A*a*c^2*d^3*e^4 + 3*B*a^2*c*d^2*e^5 + 5*A*a^2*c*d*e^6 + 5*B*a^3*e^7)*x)/(e^16*x^8 + 8*d*e^15*x^7 + 28*d^2*e^14*x^6 + 56*d^3*e^13*x^5 + 70*d^4*e^12*x^4 + 56*d^5*e^11*x^3 + 28*d^6*e^10*x^2 + 8*d^7*e^9*x + d^8*e^8)","A",0
1328,1,546,0,0.600338," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{1260 \, B c^{3} e^{7} x^{7} + 35 \, B c^{3} d^{7} + 10 \, A c^{3} d^{6} e + 15 \, B a c^{2} d^{5} e^{2} + 12 \, A a c^{2} d^{4} e^{3} + 15 \, B a^{2} c d^{3} e^{4} + 30 \, A a^{2} c d^{2} e^{5} + 35 \, B a^{3} d e^{6} + 280 \, A a^{3} e^{7} + 420 \, {\left(7 \, B c^{3} d e^{6} + 2 \, A c^{3} e^{7}\right)} x^{6} + 630 \, {\left(7 \, B c^{3} d^{2} e^{5} + 2 \, A c^{3} d e^{6} + 3 \, B a c^{2} e^{7}\right)} x^{5} + 126 \, {\left(35 \, B c^{3} d^{3} e^{4} + 10 \, A c^{3} d^{2} e^{5} + 15 \, B a c^{2} d e^{6} + 12 \, A a c^{2} e^{7}\right)} x^{4} + 84 \, {\left(35 \, B c^{3} d^{4} e^{3} + 10 \, A c^{3} d^{3} e^{4} + 15 \, B a c^{2} d^{2} e^{5} + 12 \, A a c^{2} d e^{6} + 15 \, B a^{2} c e^{7}\right)} x^{3} + 36 \, {\left(35 \, B c^{3} d^{5} e^{2} + 10 \, A c^{3} d^{4} e^{3} + 15 \, B a c^{2} d^{3} e^{4} + 12 \, A a c^{2} d^{2} e^{5} + 15 \, B a^{2} c d e^{6} + 30 \, A a^{2} c e^{7}\right)} x^{2} + 9 \, {\left(35 \, B c^{3} d^{6} e + 10 \, A c^{3} d^{5} e^{2} + 15 \, B a c^{2} d^{4} e^{3} + 12 \, A a c^{2} d^{3} e^{4} + 15 \, B a^{2} c d^{2} e^{5} + 30 \, A a^{2} c d e^{6} + 35 \, B a^{3} e^{7}\right)} x}{2520 \, {\left(e^{17} x^{9} + 9 \, d e^{16} x^{8} + 36 \, d^{2} e^{15} x^{7} + 84 \, d^{3} e^{14} x^{6} + 126 \, d^{4} e^{13} x^{5} + 126 \, d^{5} e^{12} x^{4} + 84 \, d^{6} e^{11} x^{3} + 36 \, d^{7} e^{10} x^{2} + 9 \, d^{8} e^{9} x + d^{9} e^{8}\right)}}"," ",0,"-1/2520*(1260*B*c^3*e^7*x^7 + 35*B*c^3*d^7 + 10*A*c^3*d^6*e + 15*B*a*c^2*d^5*e^2 + 12*A*a*c^2*d^4*e^3 + 15*B*a^2*c*d^3*e^4 + 30*A*a^2*c*d^2*e^5 + 35*B*a^3*d*e^6 + 280*A*a^3*e^7 + 420*(7*B*c^3*d*e^6 + 2*A*c^3*e^7)*x^6 + 630*(7*B*c^3*d^2*e^5 + 2*A*c^3*d*e^6 + 3*B*a*c^2*e^7)*x^5 + 126*(35*B*c^3*d^3*e^4 + 10*A*c^3*d^2*e^5 + 15*B*a*c^2*d*e^6 + 12*A*a*c^2*e^7)*x^4 + 84*(35*B*c^3*d^4*e^3 + 10*A*c^3*d^3*e^4 + 15*B*a*c^2*d^2*e^5 + 12*A*a*c^2*d*e^6 + 15*B*a^2*c*e^7)*x^3 + 36*(35*B*c^3*d^5*e^2 + 10*A*c^3*d^4*e^3 + 15*B*a*c^2*d^3*e^4 + 12*A*a*c^2*d^2*e^5 + 15*B*a^2*c*d*e^6 + 30*A*a^2*c*e^7)*x^2 + 9*(35*B*c^3*d^6*e + 10*A*c^3*d^5*e^2 + 15*B*a*c^2*d^4*e^3 + 12*A*a*c^2*d^3*e^4 + 15*B*a^2*c*d^2*e^5 + 30*A*a^2*c*d*e^6 + 35*B*a^3*e^7)*x)/(e^17*x^9 + 9*d*e^16*x^8 + 36*d^2*e^15*x^7 + 84*d^3*e^14*x^6 + 126*d^4*e^13*x^5 + 126*d^5*e^12*x^4 + 84*d^6*e^11*x^3 + 36*d^7*e^10*x^2 + 9*d^8*e^9*x + d^9*e^8)","A",0
1329,1,557,0,0.701781," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^11,x, algorithm=""maxima"")","-\frac{840 \, B c^{3} e^{7} x^{7} + 7 \, B c^{3} d^{7} + 3 \, A c^{3} d^{6} e + 6 \, B a c^{2} d^{5} e^{2} + 6 \, A a c^{2} d^{4} e^{3} + 9 \, B a^{2} c d^{3} e^{4} + 21 \, A a^{2} c d^{2} e^{5} + 28 \, B a^{3} d e^{6} + 252 \, A a^{3} e^{7} + 210 \, {\left(7 \, B c^{3} d e^{6} + 3 \, A c^{3} e^{7}\right)} x^{6} + 252 \, {\left(7 \, B c^{3} d^{2} e^{5} + 3 \, A c^{3} d e^{6} + 6 \, B a c^{2} e^{7}\right)} x^{5} + 210 \, {\left(7 \, B c^{3} d^{3} e^{4} + 3 \, A c^{3} d^{2} e^{5} + 6 \, B a c^{2} d e^{6} + 6 \, A a c^{2} e^{7}\right)} x^{4} + 120 \, {\left(7 \, B c^{3} d^{4} e^{3} + 3 \, A c^{3} d^{3} e^{4} + 6 \, B a c^{2} d^{2} e^{5} + 6 \, A a c^{2} d e^{6} + 9 \, B a^{2} c e^{7}\right)} x^{3} + 45 \, {\left(7 \, B c^{3} d^{5} e^{2} + 3 \, A c^{3} d^{4} e^{3} + 6 \, B a c^{2} d^{3} e^{4} + 6 \, A a c^{2} d^{2} e^{5} + 9 \, B a^{2} c d e^{6} + 21 \, A a^{2} c e^{7}\right)} x^{2} + 10 \, {\left(7 \, B c^{3} d^{6} e + 3 \, A c^{3} d^{5} e^{2} + 6 \, B a c^{2} d^{4} e^{3} + 6 \, A a c^{2} d^{3} e^{4} + 9 \, B a^{2} c d^{2} e^{5} + 21 \, A a^{2} c d e^{6} + 28 \, B a^{3} e^{7}\right)} x}{2520 \, {\left(e^{18} x^{10} + 10 \, d e^{17} x^{9} + 45 \, d^{2} e^{16} x^{8} + 120 \, d^{3} e^{15} x^{7} + 210 \, d^{4} e^{14} x^{6} + 252 \, d^{5} e^{13} x^{5} + 210 \, d^{6} e^{12} x^{4} + 120 \, d^{7} e^{11} x^{3} + 45 \, d^{8} e^{10} x^{2} + 10 \, d^{9} e^{9} x + d^{10} e^{8}\right)}}"," ",0,"-1/2520*(840*B*c^3*e^7*x^7 + 7*B*c^3*d^7 + 3*A*c^3*d^6*e + 6*B*a*c^2*d^5*e^2 + 6*A*a*c^2*d^4*e^3 + 9*B*a^2*c*d^3*e^4 + 21*A*a^2*c*d^2*e^5 + 28*B*a^3*d*e^6 + 252*A*a^3*e^7 + 210*(7*B*c^3*d*e^6 + 3*A*c^3*e^7)*x^6 + 252*(7*B*c^3*d^2*e^5 + 3*A*c^3*d*e^6 + 6*B*a*c^2*e^7)*x^5 + 210*(7*B*c^3*d^3*e^4 + 3*A*c^3*d^2*e^5 + 6*B*a*c^2*d*e^6 + 6*A*a*c^2*e^7)*x^4 + 120*(7*B*c^3*d^4*e^3 + 3*A*c^3*d^3*e^4 + 6*B*a*c^2*d^2*e^5 + 6*A*a*c^2*d*e^6 + 9*B*a^2*c*e^7)*x^3 + 45*(7*B*c^3*d^5*e^2 + 3*A*c^3*d^4*e^3 + 6*B*a*c^2*d^3*e^4 + 6*A*a*c^2*d^2*e^5 + 9*B*a^2*c*d*e^6 + 21*A*a^2*c*e^7)*x^2 + 10*(7*B*c^3*d^6*e + 3*A*c^3*d^5*e^2 + 6*B*a*c^2*d^4*e^3 + 6*A*a*c^2*d^3*e^4 + 9*B*a^2*c*d^2*e^5 + 21*A*a^2*c*d*e^6 + 28*B*a^3*e^7)*x)/(e^18*x^10 + 10*d*e^17*x^9 + 45*d^2*e^16*x^8 + 120*d^3*e^15*x^7 + 210*d^4*e^14*x^6 + 252*d^5*e^13*x^5 + 210*d^6*e^12*x^4 + 120*d^7*e^11*x^3 + 45*d^8*e^10*x^2 + 10*d^9*e^9*x + d^10*e^8)","A",0
1330,1,230,0,1.174355," ","integrate((B*x+A)*(e*x+d)^4/(c*x^2+a),x, algorithm=""maxima"")","\frac{{\left(A c^{2} d^{4} - 4 \, B a c d^{3} e - 6 \, A a c d^{2} e^{2} + 4 \, B a^{2} d e^{3} + A a^{2} e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c^{2}} + \frac{3 \, B c e^{4} x^{4} + 4 \, {\left(4 \, B c d e^{3} + A c e^{4}\right)} x^{3} + 6 \, {\left(6 \, B c d^{2} e^{2} + 4 \, A c d e^{3} - B a e^{4}\right)} x^{2} + 12 \, {\left(4 \, B c d^{3} e + 6 \, A c d^{2} e^{2} - 4 \, B a d e^{3} - A a e^{4}\right)} x}{12 \, c^{2}} + \frac{{\left(B c^{2} d^{4} + 4 \, A c^{2} d^{3} e - 6 \, B a c d^{2} e^{2} - 4 \, A a c d e^{3} + B a^{2} e^{4}\right)} \log\left(c x^{2} + a\right)}{2 \, c^{3}}"," ",0,"(A*c^2*d^4 - 4*B*a*c*d^3*e - 6*A*a*c*d^2*e^2 + 4*B*a^2*d*e^3 + A*a^2*e^4)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c^2) + 1/12*(3*B*c*e^4*x^4 + 4*(4*B*c*d*e^3 + A*c*e^4)*x^3 + 6*(6*B*c*d^2*e^2 + 4*A*c*d*e^3 - B*a*e^4)*x^2 + 12*(4*B*c*d^3*e + 6*A*c*d^2*e^2 - 4*B*a*d*e^3 - A*a*e^4)*x)/c^2 + 1/2*(B*c^2*d^4 + 4*A*c^2*d^3*e - 6*B*a*c*d^2*e^2 - 4*A*a*c*d*e^3 + B*a^2*e^4)*log(c*x^2 + a)/c^3","A",0
1331,1,160,0,1.158684," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+a),x, algorithm=""maxima"")","\frac{{\left(B c d^{3} + 3 \, A c d^{2} e - 3 \, B a d e^{2} - A a e^{3}\right)} \log\left(c x^{2} + a\right)}{2 \, c^{2}} + \frac{{\left(A c^{2} d^{3} - 3 \, B a c d^{2} e - 3 \, A a c d e^{2} + B a^{2} e^{3}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c^{2}} + \frac{2 \, B c e^{3} x^{3} + 3 \, {\left(3 \, B c d e^{2} + A c e^{3}\right)} x^{2} + 6 \, {\left(3 \, B c d^{2} e + 3 \, A c d e^{2} - B a e^{3}\right)} x}{6 \, c^{2}}"," ",0,"1/2*(B*c*d^3 + 3*A*c*d^2*e - 3*B*a*d*e^2 - A*a*e^3)*log(c*x^2 + a)/c^2 + (A*c^2*d^3 - 3*B*a*c*d^2*e - 3*A*a*c*d*e^2 + B*a^2*e^3)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c^2) + 1/6*(2*B*c*e^3*x^3 + 3*(3*B*c*d*e^2 + A*c*e^3)*x^2 + 6*(3*B*c*d^2*e + 3*A*c*d*e^2 - B*a*e^3)*x)/c^2","A",0
1332,1,100,0,1.274566," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+a),x, algorithm=""maxima"")","\frac{{\left(A c d^{2} - 2 \, B a d e - A a e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c} + \frac{B e^{2} x^{2} + 2 \, {\left(2 \, B d e + A e^{2}\right)} x}{2 \, c} + \frac{{\left(B c d^{2} + 2 \, A c d e - B a e^{2}\right)} \log\left(c x^{2} + a\right)}{2 \, c^{2}}"," ",0,"(A*c*d^2 - 2*B*a*d*e - A*a*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c) + 1/2*(B*e^2*x^2 + 2*(2*B*d*e + A*e^2)*x)/c + 1/2*(B*c*d^2 + 2*A*c*d*e - B*a*e^2)*log(c*x^2 + a)/c^2","A",0
1333,1,56,0,1.145578," ","integrate((B*x+A)*(e*x+d)/(c*x^2+a),x, algorithm=""maxima"")","\frac{B e x}{c} + \frac{{\left(B d + A e\right)} \log\left(c x^{2} + a\right)}{2 \, c} + \frac{{\left(A c d - B a e\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c} c}"," ",0,"B*e*x/c + 1/2*(B*d + A*e)*log(c*x^2 + a)/c + (A*c*d - B*a*e)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*c)","A",0
1334,1,31,0,1.159047," ","integrate((B*x+A)/(c*x^2+a),x, algorithm=""maxima"")","\frac{A \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}} + \frac{B \log\left(c x^{2} + a\right)}{2 \, c}"," ",0,"A*arctan(c*x/sqrt(a*c))/sqrt(a*c) + 1/2*B*log(c*x^2 + a)/c","A",0
1335,1,98,0,1.305508," ","integrate((B*x+A)/(e*x+d)/(c*x^2+a),x, algorithm=""maxima"")","\frac{{\left(B d - A e\right)} \log\left(c x^{2} + a\right)}{2 \, {\left(c d^{2} + a e^{2}\right)}} - \frac{{\left(B d - A e\right)} \log\left(e x + d\right)}{c d^{2} + a e^{2}} + \frac{{\left(A c d + B a e\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{{\left(c d^{2} + a e^{2}\right)} \sqrt{a c}}"," ",0,"1/2*(B*d - A*e)*log(c*x^2 + a)/(c*d^2 + a*e^2) - (B*d - A*e)*log(e*x + d)/(c*d^2 + a*e^2) + (A*c*d + B*a*e)*arctan(c*x/sqrt(a*c))/((c*d^2 + a*e^2)*sqrt(a*c))","A",0
1336,1,216,0,1.308179," ","integrate((B*x+A)/(e*x+d)^2/(c*x^2+a),x, algorithm=""maxima"")","\frac{{\left(B c d^{2} - 2 \, A c d e - B a e^{2}\right)} \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{{\left(B c d^{2} - 2 \, A c d e - B a e^{2}\right)} \log\left(e x + d\right)}{c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}} + \frac{{\left(A c^{2} d^{2} + 2 \, B a c d e - A 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{B d - A e}{c d^{3} + a d e^{2} + {\left(c d^{2} e + a e^{3}\right)} x}"," ",0,"1/2*(B*c*d^2 - 2*A*c*d*e - B*a*e^2)*log(c*x^2 + a)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) - (B*c*d^2 - 2*A*c*d*e - B*a*e^2)*log(e*x + d)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + (A*c^2*d^2 + 2*B*a*c*d*e - A*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)) + (B*d - A*e)/(c*d^3 + a*d*e^2 + (c*d^2*e + a*e^3)*x)","A",0
1337,1,419,0,1.353710," ","integrate((B*x+A)/(e*x+d)^3/(c*x^2+a),x, algorithm=""maxima"")","\frac{{\left(B c^{2} d^{3} - 3 \, A c^{2} d^{2} e - 3 \, B a c d e^{2} + A 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(B c^{2} d^{3} - 3 \, A c^{2} d^{2} e - 3 \, B a c d e^{2} + A 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(A c^{3} d^{3} + 3 \, B a c^{2} d^{2} e - 3 \, A a c^{2} d e^{2} - B a^{2} c e^{3}\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{3 \, B c d^{3} - 5 \, A c d^{2} e - B a d e^{2} - A a e^{3} + 2 \, {\left(B c d^{2} e - 2 \, A c d e^{2} - B a e^{3}\right)} x}{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*(B*c^2*d^3 - 3*A*c^2*d^2*e - 3*B*a*c*d*e^2 + A*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) - (B*c^2*d^3 - 3*A*c^2*d^2*e - 3*B*a*c*d*e^2 + A*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) + (A*c^3*d^3 + 3*B*a*c^2*d^2*e - 3*A*a*c^2*d*e^2 - B*a^2*c*e^3)*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*(3*B*c*d^3 - 5*A*c*d^2*e - B*a*d*e^2 - A*a*e^3 + 2*(B*c*d^2*e - 2*A*c*d*e^2 - B*a*e^3)*x)/(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
1338,1,356,0,1.340335," ","integrate((B*x+A)*(e*x+d)^5/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{B a c^{2} d^{5} + 5 \, A a c^{2} d^{4} e - 10 \, B a^{2} c d^{3} e^{2} - 10 \, A a^{2} c d^{2} e^{3} + 5 \, B a^{3} d e^{4} + A a^{3} e^{5} - {\left(A c^{3} d^{5} - 5 \, B a c^{2} d^{4} e - 10 \, A a c^{2} d^{3} e^{2} + 10 \, B a^{2} c d^{2} e^{3} + 5 \, A a^{2} c d e^{4} - B a^{3} e^{5}\right)} x}{2 \, {\left(a c^{4} x^{2} + a^{2} c^{3}\right)}} + \frac{{\left(5 \, B c d^{3} e^{2} + 5 \, A c d^{2} e^{3} - 5 \, B a d e^{4} - A a e^{5}\right)} \log\left(c x^{2} + a\right)}{c^{3}} + \frac{2 \, B c e^{5} x^{3} + 3 \, {\left(5 \, B c d e^{4} + A c e^{5}\right)} x^{2} + 6 \, {\left(10 \, B c d^{2} e^{3} + 5 \, A c d e^{4} - 2 \, B a e^{5}\right)} x}{6 \, c^{3}} + \frac{{\left(A c^{3} d^{5} + 5 \, B a c^{2} d^{4} e + 10 \, A a c^{2} d^{3} e^{2} - 30 \, B a^{2} c d^{2} e^{3} - 15 \, A a^{2} c d e^{4} + 5 \, B a^{3} e^{5}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a c^{3}}"," ",0,"-1/2*(B*a*c^2*d^5 + 5*A*a*c^2*d^4*e - 10*B*a^2*c*d^3*e^2 - 10*A*a^2*c*d^2*e^3 + 5*B*a^3*d*e^4 + A*a^3*e^5 - (A*c^3*d^5 - 5*B*a*c^2*d^4*e - 10*A*a*c^2*d^3*e^2 + 10*B*a^2*c*d^2*e^3 + 5*A*a^2*c*d*e^4 - B*a^3*e^5)*x)/(a*c^4*x^2 + a^2*c^3) + (5*B*c*d^3*e^2 + 5*A*c*d^2*e^3 - 5*B*a*d*e^4 - A*a*e^5)*log(c*x^2 + a)/c^3 + 1/6*(2*B*c*e^5*x^3 + 3*(5*B*c*d*e^4 + A*c*e^5)*x^2 + 6*(10*B*c*d^2*e^3 + 5*A*c*d*e^4 - 2*B*a*e^5)*x)/c^3 + 1/2*(A*c^3*d^5 + 5*B*a*c^2*d^4*e + 10*A*a*c^2*d^3*e^2 - 30*B*a^2*c*d^2*e^3 - 15*A*a^2*c*d*e^4 + 5*B*a^3*e^5)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a*c^3)","A",0
1339,1,268,0,1.505675," ","integrate((B*x+A)*(e*x+d)^4/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{B a c^{2} d^{4} + 4 \, A a c^{2} d^{3} e - 6 \, B a^{2} c d^{2} e^{2} - 4 \, A a^{2} c d e^{3} + B a^{3} e^{4} - {\left(A c^{3} d^{4} - 4 \, B a c^{2} d^{3} e - 6 \, A a c^{2} d^{2} e^{2} + 4 \, B a^{2} c d e^{3} + A a^{2} c e^{4}\right)} x}{2 \, {\left(a c^{4} x^{2} + a^{2} c^{3}\right)}} + \frac{B e^{4} x^{2} + 2 \, {\left(4 \, B d e^{3} + A e^{4}\right)} x}{2 \, c^{2}} + \frac{{\left(3 \, B c d^{2} e^{2} + 2 \, A c d e^{3} - B a e^{4}\right)} \log\left(c x^{2} + a\right)}{c^{3}} + \frac{{\left(A c^{2} d^{4} + 4 \, B a c d^{3} e + 6 \, A a c d^{2} e^{2} - 12 \, B a^{2} d e^{3} - 3 \, A a^{2} e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a c^{2}}"," ",0,"-1/2*(B*a*c^2*d^4 + 4*A*a*c^2*d^3*e - 6*B*a^2*c*d^2*e^2 - 4*A*a^2*c*d*e^3 + B*a^3*e^4 - (A*c^3*d^4 - 4*B*a*c^2*d^3*e - 6*A*a*c^2*d^2*e^2 + 4*B*a^2*c*d*e^3 + A*a^2*c*e^4)*x)/(a*c^4*x^2 + a^2*c^3) + 1/2*(B*e^4*x^2 + 2*(4*B*d*e^3 + A*e^4)*x)/c^2 + (3*B*c*d^2*e^2 + 2*A*c*d*e^3 - B*a*e^4)*log(c*x^2 + a)/c^3 + 1/2*(A*c^2*d^4 + 4*B*a*c*d^3*e + 6*A*a*c*d^2*e^2 - 12*B*a^2*d*e^3 - 3*A*a^2*e^4)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a*c^2)","A",0
1340,1,188,0,1.149016," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{B e^{3} x}{c^{2}} - \frac{B a c d^{3} + 3 \, A a c d^{2} e - 3 \, B a^{2} d e^{2} - A a^{2} e^{3} - {\left(A c^{2} d^{3} - 3 \, B a c d^{2} e - 3 \, A a c d e^{2} + B a^{2} e^{3}\right)} x}{2 \, {\left(a c^{3} x^{2} + a^{2} c^{2}\right)}} + \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} \log\left(c x^{2} + a\right)}{2 \, c^{2}} + \frac{{\left(A c^{2} d^{3} + 3 \, B a c d^{2} e + 3 \, A a c d e^{2} - 3 \, B a^{2} e^{3}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a c^{2}}"," ",0,"B*e^3*x/c^2 - 1/2*(B*a*c*d^3 + 3*A*a*c*d^2*e - 3*B*a^2*d*e^2 - A*a^2*e^3 - (A*c^2*d^3 - 3*B*a*c*d^2*e - 3*A*a*c*d*e^2 + B*a^2*e^3)*x)/(a*c^3*x^2 + a^2*c^2) + 1/2*(3*B*d*e^2 + A*e^3)*log(c*x^2 + a)/c^2 + 1/2*(A*c^2*d^3 + 3*B*a*c*d^2*e + 3*A*a*c*d*e^2 - 3*B*a^2*e^3)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a*c^2)","A",0
1341,1,130,0,1.281254," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{B e^{2} \log\left(c x^{2} + a\right)}{2 \, c^{2}} - \frac{B a c d^{2} + 2 \, A a c d e - B a^{2} e^{2} - {\left(A c^{2} d^{2} - 2 \, B a c d e - A a c e^{2}\right)} x}{2 \, {\left(a c^{3} x^{2} + a^{2} c^{2}\right)}} + \frac{{\left(A c d^{2} + 2 \, B a d e + A a e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a c}"," ",0,"1/2*B*e^2*log(c*x^2 + a)/c^2 - 1/2*(B*a*c*d^2 + 2*A*a*c*d*e - B*a^2*e^2 - (A*c^2*d^2 - 2*B*a*c*d*e - A*a*c*e^2)*x)/(a*c^3*x^2 + a^2*c^2) + 1/2*(A*c*d^2 + 2*B*a*d*e + A*a*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a*c)","A",0
1342,1,72,0,1.204275," ","integrate((B*x+A)*(e*x+d)/(c*x^2+a)^2,x, algorithm=""maxima"")","-\frac{B a d + A a e - {\left(A c d - B a e\right)} x}{2 \, {\left(a c^{2} x^{2} + a^{2} c\right)}} + \frac{{\left(A c d + B a e\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a c}"," ",0,"-1/2*(B*a*d + A*a*e - (A*c*d - B*a*e)*x)/(a*c^2*x^2 + a^2*c) + 1/2*(A*c*d + B*a*e)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a*c)","A",0
1343,1,48,0,1.156898," ","integrate((B*x+A)/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{A \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a} + \frac{A c x - B a}{2 \, {\left(a c^{2} x^{2} + a^{2} c\right)}}"," ",0,"1/2*A*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a) + 1/2*(A*c*x - B*a)/(a*c^2*x^2 + a^2*c)","A",0
1344,1,243,0,1.336446," ","integrate((B*x+A)/(e*x+d)/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(B d e^{2} - A e^{3}\right)} \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{{\left(B d e^{2} - A e^{3}\right)} \log\left(e x + d\right)}{c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}} + \frac{{\left(A c^{2} d^{3} - B a c d^{2} e + 3 \, A a c d e^{2} + B a^{2} e^{3}\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{B a d - A a e - {\left(A c d + B a e\right)} x}{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*(B*d*e^2 - A*e^3)*log(c*x^2 + a)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) - (B*d*e^2 - A*e^3)*log(e*x + d)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + 1/2*(A*c^2*d^3 - B*a*c*d^2*e + 3*A*a*c*d*e^2 + B*a^2*e^3)*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*(B*a*d - A*a*e - (A*c*d + B*a*e)*x)/(a^2*c*d^2 + a^3*e^2 + (a*c^2*d^2 + a^2*c*e^2)*x^2)","A",0
1345,1,511,0,1.352334," ","integrate((B*x+A)/(e*x+d)^2/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(3 \, B c d^{2} e^{2} - 4 \, A c d e^{3} - B a e^{4}\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 \, B c d^{2} e^{2} - 4 \, A c d e^{3} - B a e^{4}\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(A c^{3} d^{4} - 2 \, B a c^{2} d^{3} e + 6 \, A a c^{2} d^{2} e^{2} + 6 \, B a^{2} c d e^{3} - 3 \, A 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{B a c d^{3} - 2 \, A a c d^{2} e - 3 \, B a^{2} d e^{2} + 2 \, A a^{2} e^{3} - {\left(A c^{2} d^{2} e + 4 \, B a c d e^{2} - 3 \, A a c e^{3}\right)} x^{2} - {\left(A c^{2} d^{3} + B a c d^{2} e + A a c d e^{2} + B a^{2} e^{3}\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,"1/2*(3*B*c*d^2*e^2 - 4*A*c*d*e^3 - B*a*e^4)*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*B*c*d^2*e^2 - 4*A*c*d*e^3 - B*a*e^4)*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*(A*c^3*d^4 - 2*B*a*c^2*d^3*e + 6*A*a*c^2*d^2*e^2 + 6*B*a^2*c*d*e^3 - 3*A*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*(B*a*c*d^3 - 2*A*a*c*d^2*e - 3*B*a^2*d*e^2 + 2*A*a^2*e^3 - (A*c^2*d^2*e + 4*B*a*c*d*e^2 - 3*A*a*c*e^3)*x^2 - (A*c^2*d^3 + B*a*c*d^2*e + A*a*c*d*e^2 + B*a^2*e^3)*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)","A",0
1346,1,438,0,1.148715," ","integrate((B*x+A)*(e*x+d)^5/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{B e^{5} x}{c^{3}} - \frac{2 \, B a^{2} c^{2} d^{5} + 10 \, A a^{2} c^{2} d^{4} e + 20 \, B a^{3} c d^{3} e^{2} + 20 \, A a^{3} c d^{2} e^{3} - 30 \, B a^{4} d e^{4} - 6 \, A a^{4} e^{5} - {\left(3 \, A c^{4} d^{5} + 5 \, B a c^{3} d^{4} e + 10 \, A a c^{3} d^{3} e^{2} - 50 \, B a^{2} c^{2} d^{2} e^{3} - 25 \, A a^{2} c^{2} d e^{4} + 9 \, B a^{3} c e^{5}\right)} x^{3} + 8 \, {\left(5 \, B a^{2} c^{2} d^{3} e^{2} + 5 \, A a^{2} c^{2} d^{2} e^{3} - 5 \, B a^{3} c d e^{4} - A a^{3} c e^{5}\right)} x^{2} - {\left(5 \, A a c^{3} d^{5} - 5 \, B a^{2} c^{2} d^{4} e - 10 \, A a^{2} c^{2} d^{3} e^{2} - 30 \, B a^{3} c d^{2} e^{3} - 15 \, A a^{3} c d e^{4} + 7 \, B a^{4} e^{5}\right)} x}{8 \, {\left(a^{2} c^{5} x^{4} + 2 \, a^{3} c^{4} x^{2} + a^{4} c^{3}\right)}} + \frac{{\left(5 \, B d e^{4} + A e^{5}\right)} \log\left(c x^{2} + a\right)}{2 \, c^{3}} + \frac{{\left(3 \, A c^{3} d^{5} + 5 \, B a c^{2} d^{4} e + 10 \, A a c^{2} d^{3} e^{2} + 30 \, B a^{2} c d^{2} e^{3} + 15 \, A a^{2} c d e^{4} - 15 \, B a^{3} e^{5}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2} c^{3}}"," ",0,"B*e^5*x/c^3 - 1/8*(2*B*a^2*c^2*d^5 + 10*A*a^2*c^2*d^4*e + 20*B*a^3*c*d^3*e^2 + 20*A*a^3*c*d^2*e^3 - 30*B*a^4*d*e^4 - 6*A*a^4*e^5 - (3*A*c^4*d^5 + 5*B*a*c^3*d^4*e + 10*A*a*c^3*d^3*e^2 - 50*B*a^2*c^2*d^2*e^3 - 25*A*a^2*c^2*d*e^4 + 9*B*a^3*c*e^5)*x^3 + 8*(5*B*a^2*c^2*d^3*e^2 + 5*A*a^2*c^2*d^2*e^3 - 5*B*a^3*c*d*e^4 - A*a^3*c*e^5)*x^2 - (5*A*a*c^3*d^5 - 5*B*a^2*c^2*d^4*e - 10*A*a^2*c^2*d^3*e^2 - 30*B*a^3*c*d^2*e^3 - 15*A*a^3*c*d*e^4 + 7*B*a^4*e^5)*x)/(a^2*c^5*x^4 + 2*a^3*c^4*x^2 + a^4*c^3) + 1/2*(5*B*d*e^4 + A*e^5)*log(c*x^2 + a)/c^3 + 1/8*(3*A*c^3*d^5 + 5*B*a*c^2*d^4*e + 10*A*a*c^2*d^3*e^2 + 30*B*a^2*c*d^2*e^3 + 15*A*a^2*c*d*e^4 - 15*B*a^3*e^5)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2*c^3)","A",0
1347,1,352,0,1.340888," ","integrate((B*x+A)*(e*x+d)^4/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{B e^{4} \log\left(c x^{2} + a\right)}{2 \, c^{3}} - \frac{2 \, B a^{2} c^{2} d^{4} + 8 \, A a^{2} c^{2} d^{3} e + 12 \, B a^{3} c d^{2} e^{2} + 8 \, A a^{3} c d e^{3} - 6 \, B a^{4} e^{4} - {\left(3 \, A c^{4} d^{4} + 4 \, B a c^{3} d^{3} e + 6 \, A a c^{3} d^{2} e^{2} - 20 \, B a^{2} c^{2} d e^{3} - 5 \, A a^{2} c^{2} e^{4}\right)} x^{3} + 8 \, {\left(3 \, B a^{2} c^{2} d^{2} e^{2} + 2 \, A a^{2} c^{2} d e^{3} - B a^{3} c e^{4}\right)} x^{2} - {\left(5 \, A a c^{3} d^{4} - 4 \, B a^{2} c^{2} d^{3} e - 6 \, A a^{2} c^{2} d^{2} e^{2} - 12 \, B a^{3} c d e^{3} - 3 \, A a^{3} c 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 \, A c^{2} d^{4} + 4 \, B a c d^{3} e + 6 \, A a c d^{2} e^{2} + 12 \, B a^{2} d e^{3} + 3 \, A a^{2} e^{4}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2} c^{2}}"," ",0,"1/2*B*e^4*log(c*x^2 + a)/c^3 - 1/8*(2*B*a^2*c^2*d^4 + 8*A*a^2*c^2*d^3*e + 12*B*a^3*c*d^2*e^2 + 8*A*a^3*c*d*e^3 - 6*B*a^4*e^4 - (3*A*c^4*d^4 + 4*B*a*c^3*d^3*e + 6*A*a*c^3*d^2*e^2 - 20*B*a^2*c^2*d*e^3 - 5*A*a^2*c^2*e^4)*x^3 + 8*(3*B*a^2*c^2*d^2*e^2 + 2*A*a^2*c^2*d*e^3 - B*a^3*c*e^4)*x^2 - (5*A*a*c^3*d^4 - 4*B*a^2*c^2*d^3*e - 6*A*a^2*c^2*d^2*e^2 - 12*B*a^3*c*d*e^3 - 3*A*a^3*c*e^4)*x)/(a^2*c^5*x^4 + 2*a^3*c^4*x^2 + a^4*c^3) + 1/8*(3*A*c^2*d^4 + 4*B*a*c*d^3*e + 6*A*a*c*d^2*e^2 + 12*B*a^2*d*e^3 + 3*A*a^2*e^4)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2*c^2)","A",0
1348,1,248,0,1.508397," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{2 \, B a^{2} c d^{3} + 6 \, A a^{2} c d^{2} e + 6 \, B a^{3} d e^{2} + 2 \, A a^{3} e^{3} - {\left(3 \, A c^{3} d^{3} + 3 \, B a c^{2} d^{2} e + 3 \, A a c^{2} d e^{2} - 5 \, B a^{2} c e^{3}\right)} x^{3} + 4 \, {\left(3 \, B a^{2} c d e^{2} + A a^{2} c e^{3}\right)} x^{2} - {\left(5 \, A a c^{2} d^{3} - 3 \, B a^{2} c d^{2} e - 3 \, A a^{2} c d e^{2} - 3 \, B a^{3} e^{3}\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(A c^{2} d^{3} + B a c d^{2} e + A a c d e^{2} + B a^{2} e^{3}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2} c^{2}}"," ",0,"-1/8*(2*B*a^2*c*d^3 + 6*A*a^2*c*d^2*e + 6*B*a^3*d*e^2 + 2*A*a^3*e^3 - (3*A*c^3*d^3 + 3*B*a*c^2*d^2*e + 3*A*a*c^2*d*e^2 - 5*B*a^2*c*e^3)*x^3 + 4*(3*B*a^2*c*d*e^2 + A*a^2*c*e^3)*x^2 - (5*A*a*c^2*d^3 - 3*B*a^2*c*d^2*e - 3*A*a^2*c*d*e^2 - 3*B*a^3*e^3)*x)/(a^2*c^4*x^4 + 2*a^3*c^3*x^2 + a^4*c^2) + 3/8*(A*c^2*d^3 + B*a*c*d^2*e + A*a*c*d*e^2 + B*a^2*e^3)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2*c^2)","B",0
1349,1,184,0,1.183447," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{4 \, B a^{2} c e^{2} x^{2} + 2 \, B a^{2} c d^{2} + 4 \, A a^{2} c d e + 2 \, B a^{3} e^{2} - {\left(3 \, A c^{3} d^{2} + 2 \, B a c^{2} d e + A a c^{2} e^{2}\right)} x^{3} - {\left(5 \, A a c^{2} d^{2} - 2 \, B a^{2} c d e - A a^{2} c 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{{\left(3 \, A c d^{2} + 2 \, B a d e + A a e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2} c}"," ",0,"-1/8*(4*B*a^2*c*e^2*x^2 + 2*B*a^2*c*d^2 + 4*A*a^2*c*d*e + 2*B*a^3*e^2 - (3*A*c^3*d^2 + 2*B*a*c^2*d*e + A*a*c^2*e^2)*x^3 - (5*A*a*c^2*d^2 - 2*B*a^2*c*d*e - A*a^2*c*e^2)*x)/(a^2*c^4*x^4 + 2*a^3*c^3*x^2 + a^4*c^2) + 1/8*(3*A*c*d^2 + 2*B*a*d*e + A*a*e^2)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2*c)","A",0
1350,1,114,0,1.124417," ","integrate((B*x+A)*(e*x+d)/(c*x^2+a)^3,x, algorithm=""maxima"")","-\frac{2 \, B a^{2} d + 2 \, A a^{2} e - {\left(3 \, A c^{2} d + B a c e\right)} x^{3} - {\left(5 \, A a c d - B a^{2} e\right)} x}{8 \, {\left(a^{2} c^{3} x^{4} + 2 \, a^{3} c^{2} x^{2} + a^{4} c\right)}} + \frac{{\left(3 \, A c d + B a e\right)} \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2} c}"," ",0,"-1/8*(2*B*a^2*d + 2*A*a^2*e - (3*A*c^2*d + B*a*c*e)*x^3 - (5*A*a*c*d - B*a^2*e)*x)/(a^2*c^3*x^4 + 2*a^3*c^2*x^2 + a^4*c) + 1/8*(3*A*c*d + B*a*e)*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2*c)","A",0
1351,1,74,0,1.301445," ","integrate((B*x+A)/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{3 \, A c^{2} x^{3} + 5 \, A a c x - 2 \, B a^{2}}{8 \, {\left(a^{2} c^{3} x^{4} + 2 \, a^{3} c^{2} x^{2} + a^{4} c\right)}} + \frac{3 \, A \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2}}"," ",0,"1/8*(3*A*c^2*x^3 + 5*A*a*c*x - 2*B*a^2)/(a^2*c^3*x^4 + 2*a^3*c^2*x^2 + a^4*c) + 3/8*A*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2)","A",0
1352,1,525,0,1.268926," ","integrate((B*x+A)/(e*x+d)/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{{\left(B d e^{4} - A e^{5}\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(B d e^{4} - A e^{5}\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(3 \, A c^{3} d^{5} - B a c^{2} d^{4} e + 10 \, A a c^{2} d^{3} e^{2} - 6 \, B a^{2} c d^{2} e^{3} + 15 \, A a^{2} c d e^{4} + 3 \, B a^{3} e^{5}\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{2 \, B a^{2} c d^{3} - 2 \, A a^{2} c d^{2} e + 6 \, B a^{3} d e^{2} - 6 \, A a^{3} e^{3} - {\left(3 \, A c^{3} d^{3} - B a c^{2} d^{2} e + 7 \, A a c^{2} d e^{2} + 3 \, B a^{2} c e^{3}\right)} x^{3} + 4 \, {\left(B a^{2} c d e^{2} - A a^{2} c e^{3}\right)} x^{2} - {\left(5 \, A a c^{2} d^{3} + B a^{2} c d^{2} e + 9 \, A a^{2} c d e^{2} + 5 \, B a^{3} e^{3}\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*(B*d*e^4 - A*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) - (B*d*e^4 - A*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*A*c^3*d^5 - B*a*c^2*d^4*e + 10*A*a*c^2*d^3*e^2 - 6*B*a^2*c*d^2*e^3 + 15*A*a^2*c*d*e^4 + 3*B*a^3*e^5)*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*(2*B*a^2*c*d^3 - 2*A*a^2*c*d^2*e + 6*B*a^3*d*e^2 - 6*A*a^3*e^3 - (3*A*c^3*d^3 - B*a*c^2*d^2*e + 7*A*a*c^2*d*e^2 + 3*B*a^2*c*e^3)*x^3 + 4*(B*a^2*c*d*e^2 - A*a^2*c*e^3)*x^2 - (5*A*a*c^2*d^3 + B*a^2*c*d^2*e + 9*A*a^2*c*d*e^2 + 5*B*a^3*e^3)*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
1353,1,997,0,1.389520," ","integrate((B*x+A)/(e*x+d)^2/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{{\left(5 \, B c d^{2} e^{4} - 6 \, A c d e^{5} - B a e^{6}\right)} \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{{\left(5 \, B c d^{2} e^{4} - 6 \, A c d e^{5} - B a e^{6}\right)} \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(3 \, A c^{4} d^{6} - 2 \, B a c^{3} d^{5} e + 15 \, A a c^{3} d^{4} e^{2} - 20 \, B a^{2} c^{2} d^{3} e^{3} + 45 \, A a^{2} c^{2} d^{2} e^{4} + 30 \, B a^{3} c d e^{5} - 15 \, A 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{2 \, B a^{2} c^{2} d^{5} - 4 \, A a^{2} c^{2} d^{4} e + 12 \, B a^{3} c d^{3} e^{2} - 20 \, A a^{3} c d^{2} e^{3} - 14 \, B a^{4} d e^{4} + 8 \, A a^{4} e^{5} - {\left(3 \, A c^{4} d^{4} e - 2 \, B a c^{3} d^{3} e^{2} + 12 \, A a c^{3} d^{2} e^{3} + 22 \, B a^{2} c^{2} d e^{4} - 15 \, A a^{2} c^{2} e^{5}\right)} x^{4} - {\left(3 \, A c^{4} d^{5} - 2 \, B a c^{3} d^{4} e + 12 \, A a c^{3} d^{3} e^{2} + 2 \, B a^{2} c^{2} d^{2} e^{3} + 9 \, A a^{2} c^{2} d e^{4} + 4 \, B a^{3} c e^{5}\right)} x^{3} - {\left(5 \, A a c^{3} d^{4} e - 10 \, B a^{2} c^{2} d^{3} e^{2} + 28 \, A a^{2} c^{2} d^{2} e^{3} + 38 \, B a^{3} c d e^{4} - 25 \, A a^{3} c e^{5}\right)} x^{2} - {\left(5 \, A a c^{3} d^{5} + 16 \, A a^{2} c^{2} d^{3} e^{2} + 6 \, B a^{3} c d^{2} e^{3} + 11 \, A a^{3} c d e^{4} + 6 \, B a^{4} e^{5}\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,"1/2*(5*B*c*d^2*e^4 - 6*A*c*d*e^5 - B*a*e^6)*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) - (5*B*c*d^2*e^4 - 6*A*c*d*e^5 - B*a*e^6)*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) + 1/8*(3*A*c^4*d^6 - 2*B*a*c^3*d^5*e + 15*A*a*c^3*d^4*e^2 - 20*B*a^2*c^2*d^3*e^3 + 45*A*a^2*c^2*d^2*e^4 + 30*B*a^3*c*d*e^5 - 15*A*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*(2*B*a^2*c^2*d^5 - 4*A*a^2*c^2*d^4*e + 12*B*a^3*c*d^3*e^2 - 20*A*a^3*c*d^2*e^3 - 14*B*a^4*d*e^4 + 8*A*a^4*e^5 - (3*A*c^4*d^4*e - 2*B*a*c^3*d^3*e^2 + 12*A*a*c^3*d^2*e^3 + 22*B*a^2*c^2*d*e^4 - 15*A*a^2*c^2*e^5)*x^4 - (3*A*c^4*d^5 - 2*B*a*c^3*d^4*e + 12*A*a*c^3*d^3*e^2 + 2*B*a^2*c^2*d^2*e^3 + 9*A*a^2*c^2*d*e^4 + 4*B*a^3*c*e^5)*x^3 - (5*A*a*c^3*d^4*e - 10*B*a^2*c^2*d^3*e^2 + 28*A*a^2*c^2*d^2*e^3 + 38*B*a^3*c*d*e^4 - 25*A*a^3*c*e^5)*x^2 - (5*A*a*c^3*d^5 + 16*A*a^2*c^2*d^3*e^2 + 6*B*a^3*c*d^2*e^3 + 11*A*a^3*c*d*e^4 + 6*B*a^4*e^5)*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
1354,1,21,0,0.569700," ","integrate((-11+6*x)/(-1+2*x)/(x^2-1),x, algorithm=""maxima"")","\frac{16}{3} \, \log\left(2 \, x - 1\right) - \frac{17}{6} \, \log\left(x + 1\right) - \frac{5}{2} \, \log\left(x - 1\right)"," ",0,"16/3*log(2*x - 1) - 17/6*log(x + 1) - 5/2*log(x - 1)","A",0
1355,1,32,0,1.175341," ","integrate(x*(1+x)^2/(x^2+1)^3,x, algorithm=""maxima"")","\frac{x^{3} - 2 \, x^{2} - x - 2}{4 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}} + \frac{1}{4} \, \arctan\left(x\right)"," ",0,"1/4*(x^3 - 2*x^2 - x - 2)/(x^4 + 2*x^2 + 1) + 1/4*arctan(x)","A",0
1356,1,90,0,1.389812," ","integrate((5-x)*(3+2*x)^4*(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{16}{21} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{4} - \frac{8}{9} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{3} + \frac{5672}{315} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{2} + \frac{652}{9} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{291997}{2835} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} + \frac{2341}{18} \, \sqrt{3 \, x^{2} + 2} x + \frac{2341}{27} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-16/21*(3*x^2 + 2)^(3/2)*x^4 - 8/9*(3*x^2 + 2)^(3/2)*x^3 + 5672/315*(3*x^2 + 2)^(3/2)*x^2 + 652/9*(3*x^2 + 2)^(3/2)*x + 291997/2835*(3*x^2 + 2)^(3/2) + 2341/18*sqrt(3*x^2 + 2)*x + 2341/27*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1357,1,76,0,1.103027," ","integrate((5-x)*(3+2*x)^3*(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{4}{9} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{3} + \frac{4}{15} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{2} + \frac{193}{18} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{3629}{135} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} + \frac{511}{9} \, \sqrt{3 \, x^{2} + 2} x + \frac{1022}{27} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-4/9*(3*x^2 + 2)^(3/2)*x^3 + 4/15*(3*x^2 + 2)^(3/2)*x^2 + 193/18*(3*x^2 + 2)^(3/2)*x + 3629/135*(3*x^2 + 2)^(3/2) + 511/9*sqrt(3*x^2 + 2)*x + 1022/27*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1358,1,62,0,1.283322," ","integrate((5-x)*(3+2*x)^2*(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{4}{15} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{2} + \frac{2}{3} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{781}{135} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} + \frac{131}{6} \, \sqrt{3 \, x^{2} + 2} x + \frac{131}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-4/15*(3*x^2 + 2)^(3/2)*x^2 + 2/3*(3*x^2 + 2)^(3/2)*x + 781/135*(3*x^2 + 2)^(3/2) + 131/6*sqrt(3*x^2 + 2)*x + 131/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1359,1,48,0,1.462147," ","integrate((5-x)*(3+2*x)*(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{7}{9} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} + \frac{23}{3} \, \sqrt{3 \, x^{2} + 2} x + \frac{46}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-1/6*(3*x^2 + 2)^(3/2)*x + 7/9*(3*x^2 + 2)^(3/2) + 23/3*sqrt(3*x^2 + 2)*x + 46/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1360,1,36,0,1.376789," ","integrate((5-x)*(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{9} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} + \frac{5}{2} \, \sqrt{3 \, x^{2} + 2} x + \frac{5}{3} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-1/9*(3*x^2 + 2)^(3/2) + 5/2*sqrt(3*x^2 + 2)*x + 5/3*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1361,1,70,0,1.081081," ","integrate((5-x)*(3*x^2+2)^(1/2)/(3+2*x),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{3 \, x^{2} + 2} x - \frac{121}{24} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{13}{8} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{13}{4} \, \sqrt{3 \, x^{2} + 2}"," ",0,"-1/4*sqrt(3*x^2 + 2)*x - 121/24*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 13/8*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 13/4*sqrt(3*x^2 + 2)","A",0
1362,1,76,0,1.249774," ","integrate((5-x)*(3*x^2+2)^(1/2)/(3+2*x)^2,x, algorithm=""maxima"")","2 \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) - \frac{19}{35} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{1}{4} \, \sqrt{3 \, x^{2} + 2} - \frac{13 \, \sqrt{3 \, x^{2} + 2}}{4 \, {\left(2 \, x + 3\right)}}"," ",0,"2*sqrt(3)*arcsinh(1/2*sqrt(6)*x) - 19/35*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 1/4*sqrt(3*x^2 + 2) - 13/4*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1363,1,99,0,1.251627," ","integrate((5-x)*(3*x^2+2)^(1/2)/(3+2*x)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{471}{9800} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{39}{280} \, \sqrt{3 \, x^{2} + 2} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{70 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{47 \, \sqrt{3 \, x^{2} + 2}}{280 \, {\left(2 \, x + 3\right)}}"," ",0,"-1/8*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 471/9800*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 39/280*sqrt(3*x^2 + 2) - 13/70*(3*x^2 + 2)^(3/2)/(4*x^2 + 12*x + 9) - 47/280*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1364,1,115,0,1.345565," ","integrate((5-x)*(3*x^2+2)^(1/2)/(3+2*x)^4,x, algorithm=""maxima"")","\frac{123}{42875} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{123}{4900} \, \sqrt{3 \, x^{2} + 2} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{105 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{41 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{1225 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{369 \, \sqrt{3 \, x^{2} + 2}}{4900 \, {\left(2 \, x + 3\right)}}"," ",0,"123/42875*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 123/4900*sqrt(3*x^2 + 2) - 13/105*(3*x^2 + 2)^(3/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 41/1225*(3*x^2 + 2)^(3/2)/(4*x^2 + 12*x + 9) - 369/4900*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1365,1,148,0,1.172611," ","integrate((5-x)*(3*x^2+2)^(1/2)/(3+2*x)^5,x, algorithm=""maxima"")","\frac{198}{300125} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{99}{17150} \, \sqrt{3 \, x^{2} + 2} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{140 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{89 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{2940 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{66 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{8575 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{297 \, \sqrt{3 \, x^{2} + 2}}{17150 \, {\left(2 \, x + 3\right)}}"," ",0,"198/300125*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 99/17150*sqrt(3*x^2 + 2) - 13/140*(3*x^2 + 2)^(3/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 89/2940*(3*x^2 + 2)^(3/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 66/8575*(3*x^2 + 2)^(3/2)/(4*x^2 + 12*x + 9) - 297/17150*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1366,1,186,0,1.226728," ","integrate((5-x)*(3*x^2+2)^(1/2)/(3+2*x)^6,x, algorithm=""maxima"")","\frac{1017}{7503125} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{1017}{857500} \, \sqrt{3 \, x^{2} + 2} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{175 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{23 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{875 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{43 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{6125 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{339 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{214375 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{3051 \, \sqrt{3 \, x^{2} + 2}}{857500 \, {\left(2 \, x + 3\right)}}"," ",0,"1017/7503125*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 1017/857500*sqrt(3*x^2 + 2) - 13/175*(3*x^2 + 2)^(3/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 23/875*(3*x^2 + 2)^(3/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 43/6125*(3*x^2 + 2)^(3/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 339/214375*(3*x^2 + 2)^(3/2)/(4*x^2 + 12*x + 9) - 3051/857500*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1367,1,229,0,1.228041," ","integrate((5-x)*(3*x^2+2)^(1/2)/(3+2*x)^7,x, algorithm=""maxima"")","\frac{6102}{262609375} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{3051}{15006250} \, \sqrt{3 \, x^{2} + 2} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{210 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{281 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{12250 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{111 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{17500 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{1207 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{857500 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{2034 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{7503125 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{9153 \, \sqrt{3 \, x^{2} + 2}}{15006250 \, {\left(2 \, x + 3\right)}}"," ",0,"6102/262609375*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 3051/15006250*sqrt(3*x^2 + 2) - 13/210*(3*x^2 + 2)^(3/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 281/12250*(3*x^2 + 2)^(3/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 111/17500*(3*x^2 + 2)^(3/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 1207/857500*(3*x^2 + 2)^(3/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 2034/7503125*(3*x^2 + 2)^(3/2)/(4*x^2 + 12*x + 9) - 9153/15006250*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1368,1,102,0,1.275751," ","integrate((5-x)*(3+2*x)^4*(3*x^2+2)^(3/2),x, algorithm=""maxima"")","-\frac{16}{27} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x^{4} - \frac{2}{3} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x^{3} + \frac{7256}{567} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x^{2} + \frac{434}{9} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{537409}{8505} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} + \frac{2777}{36} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{2777}{12} \, \sqrt{3 \, x^{2} + 2} x + \frac{2777}{18} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-16/27*(3*x^2 + 2)^(5/2)*x^4 - 2/3*(3*x^2 + 2)^(5/2)*x^3 + 7256/567*(3*x^2 + 2)^(5/2)*x^2 + 434/9*(3*x^2 + 2)^(5/2)*x + 537409/8505*(3*x^2 + 2)^(5/2) + 2777/36*(3*x^2 + 2)^(3/2)*x + 2777/12*sqrt(3*x^2 + 2)*x + 2777/18*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1369,1,88,0,1.356374," ","integrate((5-x)*(3+2*x)^3*(3*x^2+2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x^{3} + \frac{4}{21} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x^{2} + \frac{64}{9} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{5087}{315} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} + \frac{1087}{36} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{1087}{12} \, \sqrt{3 \, x^{2} + 2} x + \frac{1087}{18} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-1/3*(3*x^2 + 2)^(5/2)*x^3 + 4/21*(3*x^2 + 2)^(5/2)*x^2 + 64/9*(3*x^2 + 2)^(5/2)*x + 5087/315*(3*x^2 + 2)^(5/2) + 1087/36*(3*x^2 + 2)^(3/2)*x + 1087/12*sqrt(3*x^2 + 2)*x + 1087/18*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1370,1,74,0,1.325888," ","integrate((5-x)*(3+2*x)^2*(3*x^2+2)^(3/2),x, algorithm=""maxima"")","-\frac{4}{21} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x^{2} + \frac{4}{9} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{1087}{315} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} + \frac{397}{36} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{397}{12} \, \sqrt{3 \, x^{2} + 2} x + \frac{397}{18} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-4/21*(3*x^2 + 2)^(5/2)*x^2 + 4/9*(3*x^2 + 2)^(5/2)*x + 1087/315*(3*x^2 + 2)^(5/2) + 397/36*(3*x^2 + 2)^(3/2)*x + 397/12*sqrt(3*x^2 + 2)*x + 397/18*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1371,1,60,0,1.367941," ","integrate((5-x)*(3+2*x)*(3*x^2+2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{9} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{7}{15} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} + \frac{137}{36} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{137}{12} \, \sqrt{3 \, x^{2} + 2} x + \frac{137}{18} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-1/9*(3*x^2 + 2)^(5/2)*x + 7/15*(3*x^2 + 2)^(5/2) + 137/36*(3*x^2 + 2)^(3/2)*x + 137/12*sqrt(3*x^2 + 2)*x + 137/18*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1372,1,48,0,1.332123," ","integrate((5-x)*(3*x^2+2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{15} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} + \frac{5}{4} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{15}{4} \, \sqrt{3 \, x^{2} + 2} x + \frac{5}{2} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-1/15*(3*x^2 + 2)^(5/2) + 5/4*(3*x^2 + 2)^(3/2)*x + 15/4*sqrt(3*x^2 + 2)*x + 5/2*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1373,1,93,0,1.399692," ","integrate((5-x)*(3*x^2+2)^(3/2)/(3+2*x),x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{13}{12} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{123}{16} \, \sqrt{3 \, x^{2} + 2} x - \frac{1529}{32} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{455}{32} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{455}{16} \, \sqrt{3 \, x^{2} + 2}"," ",0,"-1/8*(3*x^2 + 2)^(3/2)*x + 13/12*(3*x^2 + 2)^(3/2) - 123/16*sqrt(3*x^2 + 2)*x - 1529/32*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 455/32*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 455/16*sqrt(3*x^2 + 2)","A",0
1374,1,99,0,1.344012," ","integrate((5-x)*(3*x^2+2)^(3/2)/(3+2*x)^2,x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} + \frac{63}{8} \, \sqrt{3 \, x^{2} + 2} x + \frac{663}{16} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) - \frac{193}{16} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{193}{8} \, \sqrt{3 \, x^{2} + 2} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{4 \, {\left(2 \, x + 3\right)}}"," ",0,"-1/12*(3*x^2 + 2)^(3/2) + 63/8*sqrt(3*x^2 + 2)*x + 663/16*sqrt(3)*arcsinh(1/2*sqrt(6)*x) - 193/16*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 193/8*sqrt(3*x^2 + 2) - 13/4*(3*x^2 + 2)^(3/2)/(2*x + 3)","A",0
1375,1,122,0,1.299896," ","integrate((5-x)*(3*x^2+2)^(3/2)/(3+2*x)^3,x, algorithm=""maxima"")","\frac{39}{280} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{70 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{171}{70} \, \sqrt{3 \, x^{2} + 2} x - \frac{111}{8} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{1143}{280} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{1143}{140} \, \sqrt{3 \, x^{2} + 2} + \frac{187 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{280 \, {\left(2 \, x + 3\right)}}"," ",0,"39/280*(3*x^2 + 2)^(3/2) - 13/70*(3*x^2 + 2)^(5/2)/(4*x^2 + 12*x + 9) - 171/70*sqrt(3*x^2 + 2)*x - 111/8*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 1143/280*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 1143/140*sqrt(3*x^2 + 2) + 187/280*(3*x^2 + 2)^(3/2)/(2*x + 3)","A",0
1376,1,150,0,1.430788," ","integrate((5-x)*(3*x^2+2)^(3/2)/(3+2*x)^4,x, algorithm=""maxima"")","\frac{3}{2450} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{105 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{2 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{1225 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{3933}{9800} \, \sqrt{3 \, x^{2} + 2} x + \frac{33}{16} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) - \frac{11727}{19600} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{11727}{9800} \, \sqrt{3 \, x^{2} + 2} - \frac{223 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{1225 \, {\left(2 \, x + 3\right)}}"," ",0,"3/2450*(3*x^2 + 2)^(3/2) - 13/105*(3*x^2 + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 2/1225*(3*x^2 + 2)^(5/2)/(4*x^2 + 12*x + 9) + 3933/9800*sqrt(3*x^2 + 2)*x + 33/16*sqrt(3)*arcsinh(1/2*sqrt(6)*x) - 11727/19600*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 11727/9800*sqrt(3*x^2 + 2) - 223/1225*(3*x^2 + 2)^(3/2)/(2*x + 3)","A",0
1377,1,183,0,1.448949," ","integrate((5-x)*(3*x^2+2)^(3/2)/(3+2*x)^5,x, algorithm=""maxima"")","\frac{2997}{686000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{140 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{211 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{14700 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{999 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{171500 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{7227}{686000} \, \sqrt{3 \, x^{2} + 2} x - \frac{3}{32} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{39663}{1372000} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{39663}{686000} \, \sqrt{3 \, x^{2} + 2} - \frac{5779 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{686000 \, {\left(2 \, x + 3\right)}}"," ",0,"2997/686000*(3*x^2 + 2)^(3/2) - 13/140*(3*x^2 + 2)^(5/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 211/14700*(3*x^2 + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 999/171500*(3*x^2 + 2)^(5/2)/(4*x^2 + 12*x + 9) - 7227/686000*sqrt(3*x^2 + 2)*x - 3/32*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 39663/1372000*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 39663/686000*sqrt(3*x^2 + 2) - 5779/686000*(3*x^2 + 2)^(3/2)/(2*x + 3)","B",0
1378,1,209,0,1.322960," ","integrate((5-x)*(3*x^2+2)^(3/2)/(3+2*x)^6,x, algorithm=""maxima"")","\frac{11439}{12005000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{175 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{41 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{2450 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{369 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{85750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{3813 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{3001250 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{9963}{6002500} \, \sqrt{3 \, x^{2} + 2} x + \frac{1107}{3001250} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{1107}{1500625} \, \sqrt{3 \, x^{2} + 2} - \frac{43173 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{12005000 \, {\left(2 \, x + 3\right)}}"," ",0,"11439/12005000*(3*x^2 + 2)^(3/2) - 13/175*(3*x^2 + 2)^(5/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 41/2450*(3*x^2 + 2)^(5/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 369/85750*(3*x^2 + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 3813/3001250*(3*x^2 + 2)^(5/2)/(4*x^2 + 12*x + 9) + 9963/6002500*sqrt(3*x^2 + 2)*x + 1107/3001250*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 1107/1500625*sqrt(3*x^2 + 2) - 43173/12005000*(3*x^2 + 2)^(3/2)/(2*x + 3)","B",0
1379,1,252,0,1.320869," ","integrate((5-x)*(3*x^2+2)^(3/2)/(3+2*x)^7,x, algorithm=""maxima"")","\frac{279}{1225000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{210 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{29 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{1750 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{{\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{250 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{9 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{8750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{93 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{306250 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{243}{612500} \, \sqrt{3 \, x^{2} + 2} x + \frac{27}{306250} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{27}{153125} \, \sqrt{3 \, x^{2} + 2} - \frac{1053 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{1225000 \, {\left(2 \, x + 3\right)}}"," ",0,"279/1225000*(3*x^2 + 2)^(3/2) - 13/210*(3*x^2 + 2)^(5/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 29/1750*(3*x^2 + 2)^(5/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 1/250*(3*x^2 + 2)^(5/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 9/8750*(3*x^2 + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 93/306250*(3*x^2 + 2)^(5/2)/(4*x^2 + 12*x + 9) + 243/612500*sqrt(3*x^2 + 2)*x + 27/306250*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 27/153125*sqrt(3*x^2 + 2) - 1053/1225000*(3*x^2 + 2)^(3/2)/(2*x + 3)","B",0
1380,1,300,0,1.430406," ","integrate((5-x)*(3*x^2+2)^(3/2)/(3+2*x)^8,x, algorithm=""maxima"")","\frac{750231}{14706125000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{245 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{404 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{25725 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{822 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{214375 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{2689 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{3001250 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{24201 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{105043750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{250077 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{3676531250 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{653427}{7353062500} \, \sqrt{3 \, x^{2} + 2} x + \frac{72603}{3676531250} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{72603}{1838265625} \, \sqrt{3 \, x^{2} + 2} - \frac{2831517 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}{14706125000 \, {\left(2 \, x + 3\right)}}"," ",0,"750231/14706125000*(3*x^2 + 2)^(3/2) - 13/245*(3*x^2 + 2)^(5/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 404/25725*(3*x^2 + 2)^(5/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 822/214375*(3*x^2 + 2)^(5/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 2689/3001250*(3*x^2 + 2)^(5/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 24201/105043750*(3*x^2 + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 250077/3676531250*(3*x^2 + 2)^(5/2)/(4*x^2 + 12*x + 9) + 653427/7353062500*sqrt(3*x^2 + 2)*x + 72603/3676531250*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 72603/1838265625*sqrt(3*x^2 + 2) - 2831517/14706125000*(3*x^2 + 2)^(3/2)/(2*x + 3)","B",0
1381,1,114,0,1.100104," ","integrate((5-x)*(3+2*x)^4*(3*x^2+2)^(5/2),x, algorithm=""maxima"")","-\frac{16}{33} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x^{4} - \frac{8}{15} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x^{3} + \frac{8840}{891} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x^{2} + \frac{542}{15} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x + \frac{122107}{2673} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} + \frac{4991}{90} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{4991}{36} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{4991}{12} \, \sqrt{3 \, x^{2} + 2} x + \frac{4991}{18} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-16/33*(3*x^2 + 2)^(7/2)*x^4 - 8/15*(3*x^2 + 2)^(7/2)*x^3 + 8840/891*(3*x^2 + 2)^(7/2)*x^2 + 542/15*(3*x^2 + 2)^(7/2)*x + 122107/2673*(3*x^2 + 2)^(7/2) + 4991/90*(3*x^2 + 2)^(5/2)*x + 4991/36*(3*x^2 + 2)^(3/2)*x + 4991/12*sqrt(3*x^2 + 2)*x + 4991/18*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1382,1,100,0,1.161344," ","integrate((5-x)*(3+2*x)^3*(3*x^2+2)^(5/2),x, algorithm=""maxima"")","-\frac{4}{15} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x^{3} + \frac{4}{27} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x^{2} + \frac{319}{60} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x + \frac{935}{81} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} + \frac{3731}{180} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{3731}{72} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{3731}{24} \, \sqrt{3 \, x^{2} + 2} x + \frac{3731}{36} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-4/15*(3*x^2 + 2)^(7/2)*x^3 + 4/27*(3*x^2 + 2)^(7/2)*x^2 + 319/60*(3*x^2 + 2)^(7/2)*x + 935/81*(3*x^2 + 2)^(7/2) + 3731/180*(3*x^2 + 2)^(5/2)*x + 3731/72*(3*x^2 + 2)^(3/2)*x + 3731/24*sqrt(3*x^2 + 2)*x + 3731/36*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1383,1,86,0,1.319822," ","integrate((5-x)*(3+2*x)^2*(3*x^2+2)^(5/2),x, algorithm=""maxima"")","-\frac{4}{27} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x^{2} + \frac{1}{3} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x + \frac{199}{81} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} + \frac{133}{18} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{665}{36} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{665}{12} \, \sqrt{3 \, x^{2} + 2} x + \frac{665}{18} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-4/27*(3*x^2 + 2)^(7/2)*x^2 + 1/3*(3*x^2 + 2)^(7/2)*x + 199/81*(3*x^2 + 2)^(7/2) + 133/18*(3*x^2 + 2)^(5/2)*x + 665/36*(3*x^2 + 2)^(3/2)*x + 665/12*sqrt(3*x^2 + 2)*x + 665/18*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1384,1,72,0,1.155249," ","integrate((5-x)*(3+2*x)*(3*x^2+2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} x + \frac{1}{3} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} + \frac{91}{36} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{455}{72} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{455}{24} \, \sqrt{3 \, x^{2} + 2} x + \frac{455}{36} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-1/12*(3*x^2 + 2)^(7/2)*x + 1/3*(3*x^2 + 2)^(7/2) + 91/36*(3*x^2 + 2)^(5/2)*x + 455/72*(3*x^2 + 2)^(3/2)*x + 455/24*sqrt(3*x^2 + 2)*x + 455/36*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1385,1,60,0,1.125651," ","integrate((5-x)*(3*x^2+2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{21} \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}} + \frac{5}{6} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{25}{12} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{25}{4} \, \sqrt{3 \, x^{2} + 2} x + \frac{25}{6} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right)"," ",0,"-1/21*(3*x^2 + 2)^(7/2) + 5/6*(3*x^2 + 2)^(5/2)*x + 25/12*(3*x^2 + 2)^(3/2)*x + 25/4*sqrt(3*x^2 + 2)*x + 25/6*sqrt(3)*arcsinh(1/2*sqrt(6)*x)","A",0
1386,1,116,0,1.308396," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x),x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} x + \frac{13}{20} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{371}{96} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{455}{48} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{4837}{64} \, \sqrt{3 \, x^{2} + 2} x - \frac{162673}{384} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{15925}{128} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{15925}{64} \, \sqrt{3 \, x^{2} + 2}"," ",0,"-1/12*(3*x^2 + 2)^(5/2)*x + 13/20*(3*x^2 + 2)^(5/2) - 371/96*(3*x^2 + 2)^(3/2)*x + 455/48*(3*x^2 + 2)^(3/2) - 4837/64*sqrt(3*x^2 + 2)*x - 162673/384*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 15925/128*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 15925/64*sqrt(3*x^2 + 2)","A",0
1387,1,122,0,1.243680," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^2,x, algorithm=""maxima"")","-\frac{1}{20} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} + \frac{51}{8} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x - \frac{155}{12} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{4 \, {\left(2 \, x + 3\right)}} + \frac{1701}{16} \, \sqrt{3 \, x^{2} + 2} x + \frac{18543}{32} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) - \frac{5425}{32} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{5425}{16} \, \sqrt{3 \, x^{2} + 2}"," ",0,"-1/20*(3*x^2 + 2)^(5/2) + 51/8*(3*x^2 + 2)^(3/2)*x - 155/12*(3*x^2 + 2)^(3/2) - 13/4*(3*x^2 + 2)^(5/2)/(2*x + 3) + 1701/16*sqrt(3*x^2 + 2)*x + 18543/32*sqrt(3)*arcsinh(1/2*sqrt(6)*x) - 5425/32*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 5425/16*sqrt(3*x^2 + 2)","A",0
1388,1,145,0,1.320326," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^3,x, algorithm=""maxima"")","\frac{39}{280} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{70 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{807}{224} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{859}{112} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} + \frac{421 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{280 \, {\left(2 \, x + 3\right)}} - \frac{4005}{64} \, \sqrt{3 \, x^{2} + 2} x - \frac{43995}{128} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{12885}{128} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{12885}{64} \, \sqrt{3 \, x^{2} + 2}"," ",0,"39/280*(3*x^2 + 2)^(5/2) - 13/70*(3*x^2 + 2)^(7/2)/(4*x^2 + 12*x + 9) - 807/224*(3*x^2 + 2)^(3/2)*x + 859/112*(3*x^2 + 2)^(3/2) + 421/280*(3*x^2 + 2)^(5/2)/(2*x + 3) - 4005/64*sqrt(3*x^2 + 2)*x - 43995/128*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 12885/128*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 12885/64*sqrt(3*x^2 + 2)","A",0
1389,1,173,0,1.437700," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^4,x, algorithm=""maxima"")","-\frac{111}{4900} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{105 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} + \frac{37 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{1225 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{591}{490} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x - \frac{1219}{490} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{2819 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{4900 \, {\left(2 \, x + 3\right)}} + \frac{1143}{56} \, \sqrt{3 \, x^{2} + 2} x + \frac{1785}{16} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) - \frac{3657}{112} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{3657}{56} \, \sqrt{3 \, x^{2} + 2}"," ",0,"-111/4900*(3*x^2 + 2)^(5/2) - 13/105*(3*x^2 + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) + 37/1225*(3*x^2 + 2)^(7/2)/(4*x^2 + 12*x + 9) + 591/490*(3*x^2 + 2)^(3/2)*x - 1219/490*(3*x^2 + 2)^(3/2) - 2819/4900*(3*x^2 + 2)^(5/2)/(2*x + 3) + 1143/56*sqrt(3*x^2 + 2)*x + 1785/16*sqrt(3)*arcsinh(1/2*sqrt(6)*x) - 3657/112*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 3657/56*sqrt(3*x^2 + 2)","A",0
1390,1,206,0,1.537369," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^5,x, algorithm=""maxima"")","\frac{3123}{343000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{140 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} + \frac{23 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{14700 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{1041 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{85750 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{58629}{274400} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{62793}{137200} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} + \frac{29717 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{343000 \, {\left(2 \, x + 3\right)}} - \frac{58491}{15680} \, \sqrt{3 \, x^{2} + 2} x - \frac{2625}{128} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{188379}{31360} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{188379}{15680} \, \sqrt{3 \, x^{2} + 2}"," ",0,"3123/343000*(3*x^2 + 2)^(5/2) - 13/140*(3*x^2 + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) + 23/14700*(3*x^2 + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 1041/85750*(3*x^2 + 2)^(7/2)/(4*x^2 + 12*x + 9) - 58629/274400*(3*x^2 + 2)^(3/2)*x + 62793/137200*(3*x^2 + 2)^(3/2) + 29717/343000*(3*x^2 + 2)^(5/2)/(2*x + 3) - 58491/15680*sqrt(3*x^2 + 2)*x - 2625/128*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 188379/31360*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 188379/15680*sqrt(3*x^2 + 2)","A",0
1391,1,244,0,1.240353," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^6,x, algorithm=""maxima"")","\frac{6723}{30012500} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{175 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{44 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{6125 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{1042 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{214375 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{2241 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{7503125 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{267723}{12005000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x - \frac{263241}{6002500} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{377133 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{30012500 \, {\left(2 \, x + 3\right)}} + \frac{248967}{686000} \, \sqrt{3 \, x^{2} + 2} x + \frac{63}{32} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) - \frac{789723}{1372000} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{789723}{686000} \, \sqrt{3 \, x^{2} + 2}"," ",0,"6723/30012500*(3*x^2 + 2)^(5/2) - 13/175*(3*x^2 + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 44/6125*(3*x^2 + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 1042/214375*(3*x^2 + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 2241/7503125*(3*x^2 + 2)^(7/2)/(4*x^2 + 12*x + 9) + 267723/12005000*(3*x^2 + 2)^(3/2)*x - 263241/6002500*(3*x^2 + 2)^(3/2) - 377133/30012500*(3*x^2 + 2)^(5/2)/(2*x + 3) + 248967/686000*sqrt(3*x^2 + 2)*x + 63/32*sqrt(3)*arcsinh(1/2*sqrt(6)*x) - 789723/1372000*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 789723/686000*sqrt(3*x^2 + 2)","B",0
1392,1,287,0,1.560937," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^7,x, algorithm=""maxima"")","\frac{19683}{84035000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{210 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{{\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{98 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{113 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{34300 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{1039 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{1200500 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{6561 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{21008750 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{27009}{67228000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{53253}{33614000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{41043 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{84035000 \, {\left(2 \, x + 3\right)}} - \frac{45711}{3841600} \, \sqrt{3 \, x^{2} + 2} x - \frac{9}{128} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{159759}{7683200} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{159759}{3841600} \, \sqrt{3 \, x^{2} + 2}"," ",0,"19683/84035000*(3*x^2 + 2)^(5/2) - 13/210*(3*x^2 + 2)^(7/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 1/98*(3*x^2 + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 113/34300*(3*x^2 + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 1039/1200500*(3*x^2 + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 6561/21008750*(3*x^2 + 2)^(7/2)/(4*x^2 + 12*x + 9) - 27009/67228000*(3*x^2 + 2)^(3/2)*x + 53253/33614000*(3*x^2 + 2)^(3/2) - 41043/84035000*(3*x^2 + 2)^(5/2)/(2*x + 3) - 45711/3841600*sqrt(3*x^2 + 2)*x - 9/128*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 159759/7683200*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 159759/3841600*sqrt(3*x^2 + 2)","B",0
1393,1,323,0,1.288369," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^8,x, algorithm=""maxima"")","\frac{397413}{7353062500} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{245 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{41 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{3675 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{123 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{42875 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{1189 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{1500625 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{12177 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{52521875 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{132471 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{1838265625 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{129519}{1470612500} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{1476}{367653125} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{1537623 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{7353062500 \, {\left(2 \, x + 3\right)}} + \frac{9963}{42017500} \, \sqrt{3 \, x^{2} + 2} x + \frac{1107}{21008750} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{1107}{10504375} \, \sqrt{3 \, x^{2} + 2}"," ",0,"397413/7353062500*(3*x^2 + 2)^(5/2) - 13/245*(3*x^2 + 2)^(7/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 41/3675*(3*x^2 + 2)^(7/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 123/42875*(3*x^2 + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 1189/1500625*(3*x^2 + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 12177/52521875*(3*x^2 + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 132471/1838265625*(3*x^2 + 2)^(7/2)/(4*x^2 + 12*x + 9) + 129519/1470612500*(3*x^2 + 2)^(3/2)*x + 1476/367653125*(3*x^2 + 2)^(3/2) - 1537623/7353062500*(3*x^2 + 2)^(5/2)/(2*x + 3) + 9963/42017500*sqrt(3*x^2 + 2)*x + 1107/21008750*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 1107/10504375*sqrt(3*x^2 + 2)","B",0
1394,1,376,0,1.449552," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^9,x, algorithm=""maxima"")","\frac{6775407}{514714375000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{280 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{773 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{68600 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{233 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{85750 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{2097 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{3001250 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{20271 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{105043750 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{207603 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{3676531250 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{2258469 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{128678593750 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{2208141}{102942875000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{12582}{12867859375} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{26214597 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{514714375000 \, {\left(2 \, x + 3\right)}} + \frac{169857}{2941225000} \, \sqrt{3 \, x^{2} + 2} x + \frac{18873}{1470612500} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{18873}{735306250} \, \sqrt{3 \, x^{2} + 2}"," ",0,"6775407/514714375000*(3*x^2 + 2)^(5/2) - 13/280*(3*x^2 + 2)^(7/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 773/68600*(3*x^2 + 2)^(7/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 233/85750*(3*x^2 + 2)^(7/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 2097/3001250*(3*x^2 + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 20271/105043750*(3*x^2 + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 207603/3676531250*(3*x^2 + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 2258469/128678593750*(3*x^2 + 2)^(7/2)/(4*x^2 + 12*x + 9) + 2208141/102942875000*(3*x^2 + 2)^(3/2)*x + 12582/12867859375*(3*x^2 + 2)^(3/2) - 26214597/514714375000*(3*x^2 + 2)^(5/2)/(2*x + 3) + 169857/2941225000*sqrt(3*x^2 + 2)*x + 18873/1470612500*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 18873/735306250*sqrt(3*x^2 + 2)","B",0
1395,1,434,0,1.706735," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^10,x, algorithm=""maxima"")","\frac{27595971}{9007501562500} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{315 \, {\left(512 \, x^{9} + 6912 \, x^{8} + 41472 \, x^{7} + 145152 \, x^{6} + 326592 \, x^{5} + 489888 \, x^{4} + 489888 \, x^{3} + 314928 \, x^{2} + 118098 \, x + 19683\right)}} - \frac{27 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{2450 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{4741 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{1800750 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{949 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{1500625 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{8541 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{52521875 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{82563 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{1838265625 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{845559 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{64339296875 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{9198657 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{2251875390625 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{8993673}{1801500312500} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{102492}{450375078125} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{106771041 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{9007501562500 \, {\left(2 \, x + 3\right)}} + \frac{691821}{51471437500} \, \sqrt{3 \, x^{2} + 2} x + \frac{76869}{25735718750} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{76869}{12867859375} \, \sqrt{3 \, x^{2} + 2}"," ",0,"27595971/9007501562500*(3*x^2 + 2)^(5/2) - 13/315*(3*x^2 + 2)^(7/2)/(512*x^9 + 6912*x^8 + 41472*x^7 + 145152*x^6 + 326592*x^5 + 489888*x^4 + 489888*x^3 + 314928*x^2 + 118098*x + 19683) - 27/2450*(3*x^2 + 2)^(7/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 4741/1800750*(3*x^2 + 2)^(7/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 949/1500625*(3*x^2 + 2)^(7/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 8541/52521875*(3*x^2 + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 82563/1838265625*(3*x^2 + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 845559/64339296875*(3*x^2 + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 9198657/2251875390625*(3*x^2 + 2)^(7/2)/(4*x^2 + 12*x + 9) + 8993673/1801500312500*(3*x^2 + 2)^(3/2)*x + 102492/450375078125*(3*x^2 + 2)^(3/2) - 106771041/9007501562500*(3*x^2 + 2)^(5/2)/(2*x + 3) + 691821/51471437500*sqrt(3*x^2 + 2)*x + 76869/25735718750*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 76869/12867859375*sqrt(3*x^2 + 2)","B",0
1396,1,497,0,1.466081," ","integrate((5-x)*(3*x^2+2)^(5/2)/(3+2*x)^11,x, algorithm=""maxima"")","\frac{2129542407}{3152625546875000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{350 \, {\left(1024 \, x^{10} + 15360 \, x^{9} + 103680 \, x^{8} + 414720 \, x^{7} + 1088640 \, x^{6} + 1959552 \, x^{5} + 2449440 \, x^{4} + 2099520 \, x^{3} + 1180980 \, x^{2} + 393660 \, x + 59049\right)}} - \frac{1171 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{110250 \, {\left(512 \, x^{9} + 6912 \, x^{8} + 41472 \, x^{7} + 145152 \, x^{6} + 326592 \, x^{5} + 489888 \, x^{4} + 489888 \, x^{3} + 314928 \, x^{2} + 118098 \, x + 19683\right)}} - \frac{4393 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{1715000 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{739619 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{1260525000 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{73233 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{525218750 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{659097 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{18382656250 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{6371271 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{643392968750 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{65250603 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{22518753906250 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{709847469 \, {\left(3 \, x^{2} + 2\right)}^{\frac{7}{2}}}{788156386718750 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{694029141}{630525109375000} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + \frac{3954582}{78815638671875} \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} - \frac{8239371597 \, {\left(3 \, x^{2} + 2\right)}^{\frac{5}{2}}}{3152625546875000 \, {\left(2 \, x + 3\right)}} + \frac{53386857}{18015003125000} \, \sqrt{3 \, x^{2} + 2} x + \frac{5931873}{9007501562500} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{5931873}{4503750781250} \, \sqrt{3 \, x^{2} + 2}"," ",0,"2129542407/3152625546875000*(3*x^2 + 2)^(5/2) - 13/350*(3*x^2 + 2)^(7/2)/(1024*x^10 + 15360*x^9 + 103680*x^8 + 414720*x^7 + 1088640*x^6 + 1959552*x^5 + 2449440*x^4 + 2099520*x^3 + 1180980*x^2 + 393660*x + 59049) - 1171/110250*(3*x^2 + 2)^(7/2)/(512*x^9 + 6912*x^8 + 41472*x^7 + 145152*x^6 + 326592*x^5 + 489888*x^4 + 489888*x^3 + 314928*x^2 + 118098*x + 19683) - 4393/1715000*(3*x^2 + 2)^(7/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 739619/1260525000*(3*x^2 + 2)^(7/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 73233/525218750*(3*x^2 + 2)^(7/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 659097/18382656250*(3*x^2 + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 6371271/643392968750*(3*x^2 + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 65250603/22518753906250*(3*x^2 + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 709847469/788156386718750*(3*x^2 + 2)^(7/2)/(4*x^2 + 12*x + 9) + 694029141/630525109375000*(3*x^2 + 2)^(3/2)*x + 3954582/78815638671875*(3*x^2 + 2)^(3/2) - 8239371597/3152625546875000*(3*x^2 + 2)^(5/2)/(2*x + 3) + 53386857/18015003125000*sqrt(3*x^2 + 2)*x + 5931873/9007501562500*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 5931873/4503750781250*sqrt(3*x^2 + 2)","B",0
1397,1,78,0,1.417909," ","integrate((5-x)*(3+2*x)^4/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{16}{15} \, \sqrt{3 \, x^{2} + 2} x^{4} - \frac{4}{3} \, \sqrt{3 \, x^{2} + 2} x^{3} + \frac{4088}{135} \, \sqrt{3 \, x^{2} + 2} x^{2} + \frac{436}{3} \, \sqrt{3 \, x^{2} + 2} x + \frac{343}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{118513}{405} \, \sqrt{3 \, x^{2} + 2}"," ",0,"-16/15*sqrt(3*x^2 + 2)*x^4 - 4/3*sqrt(3*x^2 + 2)*x^3 + 4088/135*sqrt(3*x^2 + 2)*x^2 + 436/3*sqrt(3*x^2 + 2)*x + 343/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 118513/405*sqrt(3*x^2 + 2)","A",0
1398,1,64,0,1.464180," ","integrate((5-x)*(3+2*x)^3/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{2}{3} \, \sqrt{3 \, x^{2} + 2} x^{3} + \frac{4}{9} \, \sqrt{3 \, x^{2} + 2} x^{2} + \frac{65}{3} \, \sqrt{3 \, x^{2} + 2} x + \frac{275}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{2171}{27} \, \sqrt{3 \, x^{2} + 2}"," ",0,"-2/3*sqrt(3*x^2 + 2)*x^3 + 4/9*sqrt(3*x^2 + 2)*x^2 + 65/3*sqrt(3*x^2 + 2)*x + 275/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 2171/27*sqrt(3*x^2 + 2)","A",0
1399,1,50,0,1.403691," ","integrate((5-x)*(3+2*x)^2/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{4}{9} \, \sqrt{3 \, x^{2} + 2} x^{2} + \frac{4}{3} \, \sqrt{3 \, x^{2} + 2} x + \frac{127}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{475}{27} \, \sqrt{3 \, x^{2} + 2}"," ",0,"-4/9*sqrt(3*x^2 + 2)*x^2 + 4/3*sqrt(3*x^2 + 2)*x + 127/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 475/27*sqrt(3*x^2 + 2)","A",0
1400,1,36,0,1.290026," ","integrate((5-x)*(3+2*x)/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3 \, x^{2} + 2} x + \frac{47}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{7}{3} \, \sqrt{3 \, x^{2} + 2}"," ",0,"-1/3*sqrt(3*x^2 + 2)*x + 47/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 7/3*sqrt(3*x^2 + 2)","A",0
1401,1,24,0,1.302373," ","integrate((5-x)/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","\frac{5}{3} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) - \frac{1}{3} \, \sqrt{3 \, x^{2} + 2}"," ",0,"5/3*sqrt(3)*arcsinh(1/2*sqrt(6)*x) - 1/3*sqrt(3*x^2 + 2)","A",0
1402,1,47,0,1.599116," ","integrate((5-x)/(3+2*x)/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{13}{70} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right)"," ",0,"-1/6*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 13/70*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3))","A",0
1403,1,53,0,1.350199," ","integrate((5-x)/(3+2*x)^2/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","\frac{41}{1225} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{13 \, \sqrt{3 \, x^{2} + 2}}{35 \, {\left(2 \, x + 3\right)}}"," ",0,"41/1225*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 13/35*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1404,1,76,0,1.452839," ","integrate((5-x)/(3+2*x)^3/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","\frac{291}{42875} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{13 \, \sqrt{3 \, x^{2} + 2}}{70 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{281 \, \sqrt{3 \, x^{2} + 2}}{2450 \, {\left(2 \, x + 3\right)}}"," ",0,"291/42875*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 13/70*sqrt(3*x^2 + 2)/(4*x^2 + 12*x + 9) - 281/2450*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1405,1,104,0,1.377105," ","integrate((5-x)/(3+2*x)^4/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","\frac{57}{60025} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{13 \, \sqrt{3 \, x^{2} + 2}}{105 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{16 \, \sqrt{3 \, x^{2} + 2}}{245 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{10 \, \sqrt{3 \, x^{2} + 2}}{343 \, {\left(2 \, x + 3\right)}}"," ",0,"57/60025*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 13/105*sqrt(3*x^2 + 2)/(8*x^3 + 36*x^2 + 54*x + 27) - 16/245*sqrt(3*x^2 + 2)/(4*x^2 + 12*x + 9) - 10/343*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1406,1,137,0,1.296410," ","integrate((5-x)/(3+2*x)^5/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{27}{1500625} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{13 \, \sqrt{3 \, x^{2} + 2}}{140 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{97 \, \sqrt{3 \, x^{2} + 2}}{2100 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{87 \, \sqrt{3 \, x^{2} + 2}}{4900 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{991 \, \sqrt{3 \, x^{2} + 2}}{171500 \, {\left(2 \, x + 3\right)}}"," ",0,"-27/1500625*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 13/140*sqrt(3*x^2 + 2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 97/2100*sqrt(3*x^2 + 2)/(8*x^3 + 36*x^2 + 54*x + 27) - 87/4900*sqrt(3*x^2 + 2)/(4*x^2 + 12*x + 9) - 991/171500*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1407,1,175,0,1.164361," ","integrate((5-x)/(3+2*x)^6/(3*x^2+2)^(1/2),x, algorithm=""maxima"")","-\frac{19737}{262609375} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{13 \, \sqrt{3 \, x^{2} + 2}}{175 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{439 \, \sqrt{3 \, x^{2} + 2}}{12250 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{797 \, \sqrt{3 \, x^{2} + 2}}{61250 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{1611 \, \sqrt{3 \, x^{2} + 2}}{428750 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{10023 \, \sqrt{3 \, x^{2} + 2}}{15006250 \, {\left(2 \, x + 3\right)}}"," ",0,"-19737/262609375*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 13/175*sqrt(3*x^2 + 2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 439/12250*sqrt(3*x^2 + 2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 797/61250*sqrt(3*x^2 + 2)/(8*x^3 + 36*x^2 + 54*x + 27) - 1611/428750*sqrt(3*x^2 + 2)/(4*x^2 + 12*x + 9) - 10023/15006250*sqrt(3*x^2 + 2)/(2*x + 3)","A",0
1408,1,78,0,1.411342," ","integrate((5-x)*(3+2*x)^4/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","-\frac{16 \, x^{4}}{9 \, \sqrt{3 \, x^{2} + 2}} - \frac{8 \, x^{3}}{3 \, \sqrt{3 \, x^{2} + 2}} + \frac{2504 \, x^{2}}{27 \, \sqrt{3 \, x^{2} + 2}} + \frac{880}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) - \frac{545 \, x}{6 \, \sqrt{3 \, x^{2} + 2}} - \frac{16957}{81 \, \sqrt{3 \, x^{2} + 2}}"," ",0,"-16/9*x^4/sqrt(3*x^2 + 2) - 8/3*x^3/sqrt(3*x^2 + 2) + 2504/27*x^2/sqrt(3*x^2 + 2) + 880/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x) - 545/6*x/sqrt(3*x^2 + 2) - 16957/81/sqrt(3*x^2 + 2)","A",0
1409,1,64,0,1.303917," ","integrate((5-x)*(3+2*x)^3/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, x^{3}}{3 \, \sqrt{3 \, x^{2} + 2}} + \frac{4 \, x^{2}}{3 \, \sqrt{3 \, x^{2} + 2}} + \frac{134}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{137 \, x}{6 \, \sqrt{3 \, x^{2} + 2}} - \frac{713}{9 \, \sqrt{3 \, x^{2} + 2}}"," ",0,"-4/3*x^3/sqrt(3*x^2 + 2) + 4/3*x^2/sqrt(3*x^2 + 2) + 134/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 137/6*x/sqrt(3*x^2 + 2) - 713/9/sqrt(3*x^2 + 2)","A",0
1410,1,50,0,1.115503," ","integrate((5-x)*(3+2*x)^2/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, x^{2}}{3 \, \sqrt{3 \, x^{2} + 2}} + \frac{8}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{119 \, x}{6 \, \sqrt{3 \, x^{2} + 2}} - \frac{169}{9 \, \sqrt{3 \, x^{2} + 2}}"," ",0,"-4/3*x^2/sqrt(3*x^2 + 2) + 8/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 119/6*x/sqrt(3*x^2 + 2) - 169/9/sqrt(3*x^2 + 2)","A",0
1411,1,36,0,1.236233," ","integrate((5-x)*(3+2*x)/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{49 \, x}{6 \, \sqrt{3 \, x^{2} + 2}} - \frac{7}{3 \, \sqrt{3 \, x^{2} + 2}}"," ",0,"-2/9*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 49/6*x/sqrt(3*x^2 + 2) - 7/3/sqrt(3*x^2 + 2)","A",0
1412,1,24,0,0.539254," ","integrate((5-x)/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","\frac{5 \, x}{2 \, \sqrt{3 \, x^{2} + 2}} + \frac{1}{3 \, \sqrt{3 \, x^{2} + 2}}"," ",0,"5/2*x/sqrt(3*x^2 + 2) + 1/3/sqrt(3*x^2 + 2)","A",0
1413,1,58,0,1.242162," ","integrate((5-x)/(3+2*x)/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","\frac{26}{1225} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{41 \, x}{70 \, \sqrt{3 \, x^{2} + 2}} + \frac{13}{35 \, \sqrt{3 \, x^{2} + 2}}"," ",0,"26/1225*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 41/70*x/sqrt(3*x^2 + 2) + 13/35/sqrt(3*x^2 + 2)","A",0
1414,1,86,0,1.425442," ","integrate((5-x)/(3+2*x)^2/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","\frac{632}{42875} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{57 \, x}{2450 \, \sqrt{3 \, x^{2} + 2}} + \frac{316}{1225 \, \sqrt{3 \, x^{2} + 2}} - \frac{13}{35 \, {\left(2 \, \sqrt{3 \, x^{2} + 2} x + 3 \, \sqrt{3 \, x^{2} + 2}\right)}}"," ",0,"632/42875*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 57/2450*x/sqrt(3*x^2 + 2) + 316/1225/sqrt(3*x^2 + 2) - 13/35/(2*sqrt(3*x^2 + 2)*x + 3*sqrt(3*x^2 + 2))","A",0
1415,1,128,0,1.424162," ","integrate((5-x)/(3+2*x)^3/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","\frac{1962}{300125} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{993 \, x}{17150 \, \sqrt{3 \, x^{2} + 2}} + \frac{981}{8575 \, \sqrt{3 \, x^{2} + 2}} - \frac{13}{70 \, {\left(4 \, \sqrt{3 \, x^{2} + 2} x^{2} + 12 \, \sqrt{3 \, x^{2} + 2} x + 9 \, \sqrt{3 \, x^{2} + 2}\right)}} - \frac{103}{490 \, {\left(2 \, \sqrt{3 \, x^{2} + 2} x + 3 \, \sqrt{3 \, x^{2} + 2}\right)}}"," ",0,"1962/300125*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 993/17150*x/sqrt(3*x^2 + 2) + 981/8575/sqrt(3*x^2 + 2) - 13/70/(4*sqrt(3*x^2 + 2)*x^2 + 12*sqrt(3*x^2 + 2)*x + 9*sqrt(3*x^2 + 2)) - 103/490/(2*sqrt(3*x^2 + 2)*x + 3*sqrt(3*x^2 + 2))","A",0
1416,1,184,0,1.295063," ","integrate((5-x)/(3+2*x)^4/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","\frac{3312}{1500625} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{3153 \, x}{85750 \, \sqrt{3 \, x^{2} + 2}} + \frac{1656}{42875 \, \sqrt{3 \, x^{2} + 2}} - \frac{13}{105 \, {\left(8 \, \sqrt{3 \, x^{2} + 2} x^{3} + 36 \, \sqrt{3 \, x^{2} + 2} x^{2} + 54 \, \sqrt{3 \, x^{2} + 2} x + 27 \, \sqrt{3 \, x^{2} + 2}\right)}} - \frac{17}{175 \, {\left(4 \, \sqrt{3 \, x^{2} + 2} x^{2} + 12 \, \sqrt{3 \, x^{2} + 2} x + 9 \, \sqrt{3 \, x^{2} + 2}\right)}} - \frac{101}{1225 \, {\left(2 \, \sqrt{3 \, x^{2} + 2} x + 3 \, \sqrt{3 \, x^{2} + 2}\right)}}"," ",0,"3312/1500625*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 3153/85750*x/sqrt(3*x^2 + 2) + 1656/42875/sqrt(3*x^2 + 2) - 13/105/(8*sqrt(3*x^2 + 2)*x^3 + 36*sqrt(3*x^2 + 2)*x^2 + 54*sqrt(3*x^2 + 2)*x + 27*sqrt(3*x^2 + 2)) - 17/175/(4*sqrt(3*x^2 + 2)*x^2 + 12*sqrt(3*x^2 + 2)*x + 9*sqrt(3*x^2 + 2)) - 101/1225/(2*sqrt(3*x^2 + 2)*x + 3*sqrt(3*x^2 + 2))","A",0
1417,1,254,0,1.304264," ","integrate((5-x)/(3+2*x)^5/(3*x^2+2)^(3/2),x, algorithm=""maxima"")","\frac{30078}{52521875} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{22416 \, x}{1500625 \, \sqrt{3 \, x^{2} + 2}} + \frac{15039}{1500625 \, \sqrt{3 \, x^{2} + 2}} - \frac{13}{140 \, {\left(16 \, \sqrt{3 \, x^{2} + 2} x^{4} + 96 \, \sqrt{3 \, x^{2} + 2} x^{3} + 216 \, \sqrt{3 \, x^{2} + 2} x^{2} + 216 \, \sqrt{3 \, x^{2} + 2} x + 81 \, \sqrt{3 \, x^{2} + 2}\right)}} - \frac{913}{14700 \, {\left(8 \, \sqrt{3 \, x^{2} + 2} x^{3} + 36 \, \sqrt{3 \, x^{2} + 2} x^{2} + 54 \, \sqrt{3 \, x^{2} + 2} x + 27 \, \sqrt{3 \, x^{2} + 2}\right)}} - \frac{9}{250 \, {\left(4 \, \sqrt{3 \, x^{2} + 2} x^{2} + 12 \, \sqrt{3 \, x^{2} + 2} x + 9 \, \sqrt{3 \, x^{2} + 2}\right)}} - \frac{2143}{85750 \, {\left(2 \, \sqrt{3 \, x^{2} + 2} x + 3 \, \sqrt{3 \, x^{2} + 2}\right)}}"," ",0,"30078/52521875*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 22416/1500625*x/sqrt(3*x^2 + 2) + 15039/1500625/sqrt(3*x^2 + 2) - 13/140/(16*sqrt(3*x^2 + 2)*x^4 + 96*sqrt(3*x^2 + 2)*x^3 + 216*sqrt(3*x^2 + 2)*x^2 + 216*sqrt(3*x^2 + 2)*x + 81*sqrt(3*x^2 + 2)) - 913/14700/(8*sqrt(3*x^2 + 2)*x^3 + 36*sqrt(3*x^2 + 2)*x^2 + 54*sqrt(3*x^2 + 2)*x + 27*sqrt(3*x^2 + 2)) - 9/250/(4*sqrt(3*x^2 + 2)*x^2 + 12*sqrt(3*x^2 + 2)*x + 9*sqrt(3*x^2 + 2)) - 2143/85750/(2*sqrt(3*x^2 + 2)*x + 3*sqrt(3*x^2 + 2))","B",0
1418,1,133,0,1.443345," ","integrate((5-x)*(3+2*x)^6/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","-\frac{64 \, x^{6}}{9 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{128 \, x^{5}}{3 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{2416 \, x^{4}}{9 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{20720}{81} \, x {\left(\frac{9 \, x^{2}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{4}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\right)} + \frac{20720}{81} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{249431 \, x}{162 \, \sqrt{3 \, x^{2} + 2}} - \frac{131332 \, x^{2}}{27 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{3537 \, x}{2 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{899305}{243 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"-64/9*x^6/(3*x^2 + 2)^(3/2) - 128/3*x^5/(3*x^2 + 2)^(3/2) + 2416/9*x^4/(3*x^2 + 2)^(3/2) - 20720/81*x*(9*x^2/(3*x^2 + 2)^(3/2) + 4/(3*x^2 + 2)^(3/2)) + 20720/81*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 249431/162*x/sqrt(3*x^2 + 2) - 131332/27*x^2/(3*x^2 + 2)^(3/2) - 3537/2*x/(3*x^2 + 2)^(3/2) - 899305/243/(3*x^2 + 2)^(3/2)","A",0
1419,1,119,0,1.307779," ","integrate((5-x)*(3+2*x)^5/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","-\frac{16 \, x^{5}}{3 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{80 \, x^{4}}{3 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{1600}{81} \, x {\left(\frac{9 \, x^{2}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{4}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\right)} + \frac{1600}{81} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{70915 \, x}{162 \, \sqrt{3 \, x^{2} + 2}} - \frac{8200 \, x^{2}}{9 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{615 \, x}{2 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{67063}{81 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"-16/3*x^5/(3*x^2 + 2)^(3/2) - 80/3*x^4/(3*x^2 + 2)^(3/2) - 1600/81*x*(9*x^2/(3*x^2 + 2)^(3/2) + 4/(3*x^2 + 2)^(3/2)) + 1600/81*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 70915/162*x/sqrt(3*x^2 + 2) - 8200/9*x^2/(3*x^2 + 2)^(3/2) - 615/2*x/(3*x^2 + 2)^(3/2) - 67063/81/(3*x^2 + 2)^(3/2)","A",0
1420,1,105,0,1.354940," ","integrate((5-x)*(3+2*x)^4/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","-\frac{16 \, x^{4}}{3 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{16}{27} \, x {\left(\frac{9 \, x^{2}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{4}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\right)} - \frac{16}{27} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{6269 \, x}{54 \, \sqrt{3 \, x^{2} + 2}} - \frac{920 \, x^{2}}{9 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{57 \, x}{2 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{12671}{81 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"-16/3*x^4/(3*x^2 + 2)^(3/2) + 16/27*x*(9*x^2/(3*x^2 + 2)^(3/2) + 4/(3*x^2 + 2)^(3/2)) - 16/27*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 6269/54*x/sqrt(3*x^2 + 2) - 920/9*x^2/(3*x^2 + 2)^(3/2) - 57/2*x/(3*x^2 + 2)^(3/2) - 12671/81/(3*x^2 + 2)^(3/2)","A",0
1421,1,91,0,1.176549," ","integrate((5-x)*(3+2*x)^3/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","\frac{8}{27} \, x {\left(\frac{9 \, x^{2}}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{4}{{\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}\right)} - \frac{8}{27} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{1609 \, x}{54 \, \sqrt{3 \, x^{2} + 2}} - \frac{4 \, x^{2}}{3 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{17 \, x}{2 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{745}{27 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"8/27*x*(9*x^2/(3*x^2 + 2)^(3/2) + 4/(3*x^2 + 2)^(3/2)) - 8/27*sqrt(3)*arcsinh(1/2*sqrt(6)*x) + 1609/54*x/sqrt(3*x^2 + 2) - 4/3*x^2/(3*x^2 + 2)^(3/2) + 17/2*x/(3*x^2 + 2)^(3/2) - 745/27/(3*x^2 + 2)^(3/2)","A",0
1422,1,50,0,0.527365," ","integrate((5-x)*(3+2*x)^2/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","\frac{143 \, x}{18 \, \sqrt{3 \, x^{2} + 2}} + \frac{4 \, x^{2}}{3 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{119 \, x}{18 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{137}{27 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"143/18*x/sqrt(3*x^2 + 2) + 4/3*x^2/(3*x^2 + 2)^(3/2) + 119/18*x/(3*x^2 + 2)^(3/2) - 137/27/(3*x^2 + 2)^(3/2)","A",0
1423,1,36,0,0.503304," ","integrate((5-x)*(3+2*x)/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","\frac{43 \, x}{18 \, \sqrt{3 \, x^{2} + 2}} + \frac{49 \, x}{18 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{7}{9 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"43/18*x/sqrt(3*x^2 + 2) + 49/18*x/(3*x^2 + 2)^(3/2) - 7/9/(3*x^2 + 2)^(3/2)","A",0
1424,1,36,0,0.450938," ","integrate((5-x)/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","\frac{5 \, x}{6 \, \sqrt{3 \, x^{2} + 2}} + \frac{5 \, x}{6 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{1}{9 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"5/6*x/sqrt(3*x^2 + 2) + 5/6*x/(3*x^2 + 2)^(3/2) + 1/9/(3*x^2 + 2)^(3/2)","A",0
1425,1,81,0,1.281273," ","integrate((5-x)/(3+2*x)/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","\frac{104}{42875} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{2137 \, x}{7350 \, \sqrt{3 \, x^{2} + 2}} + \frac{52}{1225 \, \sqrt{3 \, x^{2} + 2}} + \frac{41 \, x}{210 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} + \frac{13}{105 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"104/42875*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 2137/7350*x/sqrt(3*x^2 + 2) + 52/1225/sqrt(3*x^2 + 2) + 41/210*x/(3*x^2 + 2)^(3/2) + 13/105/(3*x^2 + 2)^(3/2)","A",0
1426,1,109,0,1.223477," ","integrate((5-x)/(3+2*x)^2/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","\frac{176}{60025} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{277 \, x}{3430 \, \sqrt{3 \, x^{2} + 2}} + \frac{88}{1715 \, \sqrt{3 \, x^{2} + 2}} - \frac{17 \, x}{490 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{13}{35 \, {\left(2 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + 3 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}\right)}} + \frac{22}{147 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"176/60025*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 277/3430*x/sqrt(3*x^2 + 2) + 88/1715/sqrt(3*x^2 + 2) - 17/490*x/(3*x^2 + 2)^(3/2) - 13/35/(2*(3*x^2 + 2)^(3/2)*x + 3*(3*x^2 + 2)^(3/2)) + 22/147/(3*x^2 + 2)^(3/2)","A",0
1427,1,151,0,1.230972," ","integrate((5-x)/(3+2*x)^3/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","\frac{3072}{1500625} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) + \frac{857 \, x}{85750 \, \sqrt{3 \, x^{2} + 2}} + \frac{1536}{42875 \, \sqrt{3 \, x^{2} + 2}} - \frac{173 \, x}{2450 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{13}{70 \, {\left(4 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{2} + 12 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + 9 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}\right)}} - \frac{107}{350 \, {\left(2 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + 3 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}\right)}} + \frac{128}{1225 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"3072/1500625*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) + 857/85750*x/sqrt(3*x^2 + 2) + 1536/42875/sqrt(3*x^2 + 2) - 173/2450*x/(3*x^2 + 2)^(3/2) - 13/70/(4*(3*x^2 + 2)^(3/2)*x^2 + 12*(3*x^2 + 2)^(3/2)*x + 9*(3*x^2 + 2)^(3/2)) - 107/350/(2*(3*x^2 + 2)^(3/2)*x + 3*(3*x^2 + 2)^(3/2)) + 128/1225/(3*x^2 + 2)^(3/2)","A",0
1428,1,207,0,1.417111," ","integrate((5-x)/(3+2*x)^4/(3*x^2+2)^(5/2),x, algorithm=""maxima"")","\frac{55344}{52521875} \, \sqrt{35} \operatorname{arsinh}\left(\frac{3 \, \sqrt{6} x}{2 \, {\left| 2 \, x + 3 \right|}} - \frac{2 \, \sqrt{6}}{3 \, {\left| 2 \, x + 3 \right|}}\right) - \frac{17961 \, x}{3001250 \, \sqrt{3 \, x^{2} + 2}} + \frac{27672}{1500625 \, \sqrt{3 \, x^{2} + 2}} - \frac{4071 \, x}{85750 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}} - \frac{13}{105 \, {\left(8 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{3} + 36 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{2} + 54 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + 27 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}\right)}} - \frac{158}{1225 \, {\left(4 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{2} + 12 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + 9 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}\right)}} - \frac{1032}{6125 \, {\left(2 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}} x + 3 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}\right)}} + \frac{2306}{42875 \, {\left(3 \, x^{2} + 2\right)}^{\frac{3}{2}}}"," ",0,"55344/52521875*sqrt(35)*arcsinh(3/2*sqrt(6)*x/abs(2*x + 3) - 2/3*sqrt(6)/abs(2*x + 3)) - 17961/3001250*x/sqrt(3*x^2 + 2) + 27672/1500625/sqrt(3*x^2 + 2) - 4071/85750*x/(3*x^2 + 2)^(3/2) - 13/105/(8*(3*x^2 + 2)^(3/2)*x^3 + 36*(3*x^2 + 2)^(3/2)*x^2 + 54*(3*x^2 + 2)^(3/2)*x + 27*(3*x^2 + 2)^(3/2)) - 158/1225/(4*(3*x^2 + 2)^(3/2)*x^2 + 12*(3*x^2 + 2)^(3/2)*x + 9*(3*x^2 + 2)^(3/2)) - 1032/6125/(2*(3*x^2 + 2)^(3/2)*x + 3*(3*x^2 + 2)^(3/2)) + 2306/42875/(3*x^2 + 2)^(3/2)","A",0
1429,1,104,0,0.635659," ","integrate((B*x+A)*(e*x+d)^(3/2)*(c*x^2+a),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(e x + d\right)}^{\frac{11}{2}} B c - 385 \, {\left(3 \, B c d - A c e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(3 \, B c d^{2} - 2 \, A c d e + B a e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 693 \, {\left(B c d^{3} - A c d^{2} e + B a d e^{2} - A a e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{3465 \, e^{4}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*B*c - 385*(3*B*c*d - A*c*e)*(e*x + d)^(9/2) + 495*(3*B*c*d^2 - 2*A*c*d*e + B*a*e^2)*(e*x + d)^(7/2) - 693*(B*c*d^3 - A*c*d^2*e + B*a*d*e^2 - A*a*e^3)*(e*x + d)^(5/2))/e^4","A",0
1430,1,104,0,0.767945," ","integrate((B*x+A)*(c*x^2+a)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} B c - 45 \, {\left(3 \, B c d - A c e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 63 \, {\left(3 \, B c d^{2} - 2 \, A c d e + B a e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 105 \, {\left(B c d^{3} - A c d^{2} e + B a d e^{2} - A a e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{315 \, e^{4}}"," ",0,"2/315*(35*(e*x + d)^(9/2)*B*c - 45*(3*B*c*d - A*c*e)*(e*x + d)^(7/2) + 63*(3*B*c*d^2 - 2*A*c*d*e + B*a*e^2)*(e*x + d)^(5/2) - 105*(B*c*d^3 - A*c*d^2*e + B*a*d*e^2 - A*a*e^3)*(e*x + d)^(3/2))/e^4","A",0
1431,1,104,0,0.575719," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{\frac{7}{2}} B c - 21 \, {\left(3 \, B c d - A c e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(3 \, B c d^{2} - 2 \, A c d e + B a e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 105 \, {\left(B c d^{3} - A c d^{2} e + B a d e^{2} - A a e^{3}\right)} \sqrt{e x + d}\right)}}{105 \, e^{4}}"," ",0,"2/105*(15*(e*x + d)^(7/2)*B*c - 21*(3*B*c*d - A*c*e)*(e*x + d)^(5/2) + 35*(3*B*c*d^2 - 2*A*c*d*e + B*a*e^2)*(e*x + d)^(3/2) - 105*(B*c*d^3 - A*c*d^2*e + B*a*d*e^2 - A*a*e^3)*sqrt(e*x + d))/e^4","A",0
1432,1,112,0,0.511881," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} B c - 5 \, {\left(3 \, B c d - A c e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15 \, {\left(3 \, B c d^{2} - 2 \, A c d e + B a e^{2}\right)} \sqrt{e x + d}}{e^{3}} + \frac{15 \, {\left(B c d^{3} - A c d^{2} e + B a d e^{2} - A a e^{3}\right)}}{\sqrt{e x + d} e^{3}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*B*c - 5*(3*B*c*d - A*c*e)*(e*x + d)^(3/2) + 15*(3*B*c*d^2 - 2*A*c*d*e + B*a*e^2)*sqrt(e*x + d))/e^3 + 15*(B*c*d^3 - A*c*d^2*e + B*a*d*e^2 - A*a*e^3)/(sqrt(e*x + d)*e^3))/e","A",0
1433,1,108,0,0.500169," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} B c - 3 \, {\left(3 \, B c d - A c e\right)} \sqrt{e x + d}}{e^{3}} + \frac{B c d^{3} - A c d^{2} e + B a d e^{2} - A a e^{3} - 3 \, {\left(3 \, B c d^{2} - 2 \, A c d e + B a e^{2}\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)*B*c - 3*(3*B*c*d - A*c*e)*sqrt(e*x + d))/e^3 + (B*c*d^3 - A*c*d^2*e + B*a*d*e^2 - A*a*e^3 - 3*(3*B*c*d^2 - 2*A*c*d*e + B*a*e^2)*(e*x + d))/((e*x + d)^(3/2)*e^3))/e","A",0
1434,1,109,0,0.521112," ","integrate((B*x+A)*(c*x^2+a)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, \sqrt{e x + d} B c}{e^{3}} + \frac{3 \, B c d^{3} - 3 \, A c d^{2} e + 3 \, B a d e^{2} - 3 \, A a e^{3} + 15 \, {\left(3 \, B c d - A c e\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(3 \, B c d^{2} - 2 \, A c d e + B a e^{2}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{3}}\right)}}{15 \, e}"," ",0,"2/15*(15*sqrt(e*x + d)*B*c/e^3 + (3*B*c*d^3 - 3*A*c*d^2*e + 3*B*a*d*e^2 - 3*A*a*e^3 + 15*(3*B*c*d - A*c*e)*(e*x + d)^2 - 5*(3*B*c*d^2 - 2*A*c*d*e + B*a*e^2)*(e*x + d))/((e*x + d)^(5/2)*e^3))/e","A",0
1435,1,248,0,0.536792," ","integrate((B*x+A)*(c*x^2+a)^2*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3465 \, {\left(e x + d\right)}^{\frac{13}{2}} B c^{2} - 4095 \, {\left(5 \, B c^{2} d - A c^{2} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 10010 \, {\left(5 \, B c^{2} d^{2} - 2 \, A c^{2} d e + B a c e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 12870 \, {\left(5 \, B c^{2} d^{3} - 3 \, A c^{2} d^{2} e + 3 \, B a c d e^{2} - A a c e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 9009 \, {\left(5 \, B c^{2} d^{4} - 4 \, A c^{2} d^{3} e + 6 \, B a c d^{2} e^{2} - 4 \, A a c d e^{3} + B a^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 15015 \, {\left(B c^{2} d^{5} - A c^{2} d^{4} e + 2 \, B a c d^{3} e^{2} - 2 \, A a c d^{2} e^{3} + B a^{2} d e^{4} - A a^{2} e^{5}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{45045 \, e^{6}}"," ",0,"2/45045*(3465*(e*x + d)^(13/2)*B*c^2 - 4095*(5*B*c^2*d - A*c^2*e)*(e*x + d)^(11/2) + 10010*(5*B*c^2*d^2 - 2*A*c^2*d*e + B*a*c*e^2)*(e*x + d)^(9/2) - 12870*(5*B*c^2*d^3 - 3*A*c^2*d^2*e + 3*B*a*c*d*e^2 - A*a*c*e^3)*(e*x + d)^(7/2) + 9009*(5*B*c^2*d^4 - 4*A*c^2*d^3*e + 6*B*a*c*d^2*e^2 - 4*A*a*c*d*e^3 + B*a^2*e^4)*(e*x + d)^(5/2) - 15015*(B*c^2*d^5 - A*c^2*d^4*e + 2*B*a*c*d^3*e^2 - 2*A*a*c*d^2*e^3 + B*a^2*d*e^4 - A*a^2*e^5)*(e*x + d)^(3/2))/e^6","A",0
1436,1,248,0,0.462396," ","integrate((B*x+A)*(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}} B c^{2} - 385 \, {\left(5 \, B c^{2} d - A c^{2} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 990 \, {\left(5 \, B c^{2} d^{2} - 2 \, A c^{2} d e + B a c e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 1386 \, {\left(5 \, B c^{2} d^{3} - 3 \, A c^{2} d^{2} e + 3 \, B a c d e^{2} - A a c e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(5 \, B c^{2} d^{4} - 4 \, A c^{2} d^{3} e + 6 \, B a c d^{2} e^{2} - 4 \, A a c d e^{3} + B a^{2} e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 3465 \, {\left(B c^{2} d^{5} - A c^{2} d^{4} e + 2 \, B a c d^{3} e^{2} - 2 \, A a c d^{2} e^{3} + B a^{2} d e^{4} - A a^{2} e^{5}\right)} \sqrt{e x + d}\right)}}{3465 \, e^{6}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*B*c^2 - 385*(5*B*c^2*d - A*c^2*e)*(e*x + d)^(9/2) + 990*(5*B*c^2*d^2 - 2*A*c^2*d*e + B*a*c*e^2)*(e*x + d)^(7/2) - 1386*(5*B*c^2*d^3 - 3*A*c^2*d^2*e + 3*B*a*c*d*e^2 - A*a*c*e^3)*(e*x + d)^(5/2) + 1155*(5*B*c^2*d^4 - 4*A*c^2*d^3*e + 6*B*a*c*d^2*e^2 - 4*A*a*c*d*e^3 + B*a^2*e^4)*(e*x + d)^(3/2) - 3465*(B*c^2*d^5 - A*c^2*d^4*e + 2*B*a*c*d^3*e^2 - 2*A*a*c*d^2*e^3 + B*a^2*d*e^4 - A*a^2*e^5)*sqrt(e*x + d))/e^6","A",0
1437,1,256,0,0.484402," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}} B c^{2} - 45 \, {\left(5 \, B c^{2} d - A c^{2} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 126 \, {\left(5 \, B c^{2} d^{2} - 2 \, A c^{2} d e + B a c e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 210 \, {\left(5 \, B c^{2} d^{3} - 3 \, A c^{2} d^{2} e + 3 \, B a c d e^{2} - A a c e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 315 \, {\left(5 \, B c^{2} d^{4} - 4 \, A c^{2} d^{3} e + 6 \, B a c d^{2} e^{2} - 4 \, A a c d e^{3} + B a^{2} e^{4}\right)} \sqrt{e x + d}}{e^{5}} + \frac{315 \, {\left(B c^{2} d^{5} - A c^{2} d^{4} e + 2 \, B a c d^{3} e^{2} - 2 \, A a c d^{2} e^{3} + B a^{2} d e^{4} - A a^{2} e^{5}\right)}}{\sqrt{e x + d} e^{5}}\right)}}{315 \, e}"," ",0,"2/315*((35*(e*x + d)^(9/2)*B*c^2 - 45*(5*B*c^2*d - A*c^2*e)*(e*x + d)^(7/2) + 126*(5*B*c^2*d^2 - 2*A*c^2*d*e + B*a*c*e^2)*(e*x + d)^(5/2) - 210*(5*B*c^2*d^3 - 3*A*c^2*d^2*e + 3*B*a*c*d*e^2 - A*a*c*e^3)*(e*x + d)^(3/2) + 315*(5*B*c^2*d^4 - 4*A*c^2*d^3*e + 6*B*a*c*d^2*e^2 - 4*A*a*c*d*e^3 + B*a^2*e^4)*sqrt(e*x + d))/e^5 + 315*(B*c^2*d^5 - A*c^2*d^4*e + 2*B*a*c*d^3*e^2 - 2*A*a*c*d^2*e^3 + B*a^2*d*e^4 - A*a^2*e^5)/(sqrt(e*x + d)*e^5))/e","A",0
1438,1,254,0,0.679936," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(e x + d\right)}^{\frac{7}{2}} B c^{2} - 21 \, {\left(5 \, B c^{2} d - A c^{2} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 70 \, {\left(5 \, B c^{2} d^{2} - 2 \, A c^{2} d e + B a c e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 210 \, {\left(5 \, B c^{2} d^{3} - 3 \, A c^{2} d^{2} e + 3 \, B a c d e^{2} - A a c e^{3}\right)} \sqrt{e x + d}}{e^{5}} + \frac{35 \, {\left(B c^{2} d^{5} - A c^{2} d^{4} e + 2 \, B a c d^{3} e^{2} - 2 \, A a c d^{2} e^{3} + B a^{2} d e^{4} - A a^{2} e^{5} - 3 \, {\left(5 \, B c^{2} d^{4} - 4 \, A c^{2} d^{3} e + 6 \, B a c d^{2} e^{2} - 4 \, A a c d e^{3} + B a^{2} e^{4}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{5}}\right)}}{105 \, e}"," ",0,"2/105*((15*(e*x + d)^(7/2)*B*c^2 - 21*(5*B*c^2*d - A*c^2*e)*(e*x + d)^(5/2) + 70*(5*B*c^2*d^2 - 2*A*c^2*d*e + B*a*c*e^2)*(e*x + d)^(3/2) - 210*(5*B*c^2*d^3 - 3*A*c^2*d^2*e + 3*B*a*c*d*e^2 - A*a*c*e^3)*sqrt(e*x + d))/e^5 + 35*(B*c^2*d^5 - A*c^2*d^4*e + 2*B*a*c*d^3*e^2 - 2*A*a*c*d^2*e^3 + B*a^2*d*e^4 - A*a^2*e^5 - 3*(5*B*c^2*d^4 - 4*A*c^2*d^3*e + 6*B*a*c*d^2*e^2 - 4*A*a*c*d*e^3 + B*a^2*e^4)*(e*x + d))/((e*x + d)^(3/2)*e^5))/e","A",0
1439,1,255,0,0.569976," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} B c^{2} - 5 \, {\left(5 \, B c^{2} d - A c^{2} e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 30 \, {\left(5 \, B c^{2} d^{2} - 2 \, A c^{2} d e + B a c e^{2}\right)} \sqrt{e x + d}}{e^{5}} + \frac{3 \, B c^{2} d^{5} - 3 \, A c^{2} d^{4} e + 6 \, B a c d^{3} e^{2} - 6 \, A a c d^{2} e^{3} + 3 \, B a^{2} d e^{4} - 3 \, A a^{2} e^{5} + 30 \, {\left(5 \, B c^{2} d^{3} - 3 \, A c^{2} d^{2} e + 3 \, B a c d e^{2} - A a c e^{3}\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(5 \, B c^{2} d^{4} - 4 \, A c^{2} d^{3} e + 6 \, B a c d^{2} e^{2} - 4 \, A a c d e^{3} + B a^{2} e^{4}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{5}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*B*c^2 - 5*(5*B*c^2*d - A*c^2*e)*(e*x + d)^(3/2) + 30*(5*B*c^2*d^2 - 2*A*c^2*d*e + B*a*c*e^2)*sqrt(e*x + d))/e^5 + (3*B*c^2*d^5 - 3*A*c^2*d^4*e + 6*B*a*c*d^3*e^2 - 6*A*a*c*d^2*e^3 + 3*B*a^2*d*e^4 - 3*A*a^2*e^5 + 30*(5*B*c^2*d^3 - 3*A*c^2*d^2*e + 3*B*a*c*d*e^2 - A*a*c*e^3)*(e*x + d)^2 - 5*(5*B*c^2*d^4 - 4*A*c^2*d^3*e + 6*B*a*c*d^2*e^2 - 4*A*a*c*d*e^3 + B*a^2*e^4)*(e*x + d))/((e*x + d)^(5/2)*e^5))/e","A",0
1440,1,255,0,0.681231," ","integrate((B*x+A)*(c*x^2+a)^2/(e*x+d)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} B c^{2} - 3 \, {\left(5 \, B c^{2} d - A c^{2} e\right)} \sqrt{e x + d}\right)}}{e^{5}} + \frac{15 \, B c^{2} d^{5} - 15 \, A c^{2} d^{4} e + 30 \, B a c d^{3} e^{2} - 30 \, A a c d^{2} e^{3} + 15 \, B a^{2} d e^{4} - 15 \, A a^{2} e^{5} - 210 \, {\left(5 \, B c^{2} d^{2} - 2 \, A c^{2} d e + B a c e^{2}\right)} {\left(e x + d\right)}^{3} + 70 \, {\left(5 \, B c^{2} d^{3} - 3 \, A c^{2} d^{2} e + 3 \, B a c d e^{2} - A a c e^{3}\right)} {\left(e x + d\right)}^{2} - 21 \, {\left(5 \, B c^{2} d^{4} - 4 \, A c^{2} d^{3} e + 6 \, B a c d^{2} e^{2} - 4 \, A a c d e^{3} + B a^{2} e^{4}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{7}{2}} e^{5}}\right)}}{105 \, e}"," ",0,"2/105*(35*((e*x + d)^(3/2)*B*c^2 - 3*(5*B*c^2*d - A*c^2*e)*sqrt(e*x + d))/e^5 + (15*B*c^2*d^5 - 15*A*c^2*d^4*e + 30*B*a*c*d^3*e^2 - 30*A*a*c*d^2*e^3 + 15*B*a^2*d*e^4 - 15*A*a^2*e^5 - 210*(5*B*c^2*d^2 - 2*A*c^2*d*e + B*a*c*e^2)*(e*x + d)^3 + 70*(5*B*c^2*d^3 - 3*A*c^2*d^2*e + 3*B*a*c*d*e^2 - A*a*c*e^3)*(e*x + d)^2 - 21*(5*B*c^2*d^4 - 4*A*c^2*d^3*e + 6*B*a*c*d^2*e^2 - 4*A*a*c*d*e^3 + B*a^2*e^4)*(e*x + d))/((e*x + d)^(7/2)*e^5))/e","A",0
1441,1,453,0,0.560111," ","integrate((B*x+A)*(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}} B c^{3} - 3465 \, {\left(7 \, B c^{3} d - A c^{3} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 12285 \, {\left(7 \, B c^{3} d^{2} - 2 \, A c^{3} d e + B a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 5005 \, {\left(35 \, B c^{3} d^{3} - 15 \, A c^{3} d^{2} e + 15 \, B a c^{2} d e^{2} - 3 \, A a c^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 6435 \, {\left(35 \, B c^{3} d^{4} - 20 \, A c^{3} d^{3} e + 30 \, B a c^{2} d^{2} e^{2} - 12 \, A a c^{2} d e^{3} + 3 \, B a^{2} c e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 27027 \, {\left(7 \, B c^{3} d^{5} - 5 \, A c^{3} d^{4} e + 10 \, B a c^{2} d^{3} e^{2} - 6 \, A a c^{2} d^{2} e^{3} + 3 \, B a^{2} c d e^{4} - A a^{2} c e^{5}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 15015 \, {\left(7 \, B c^{3} d^{6} - 6 \, A c^{3} d^{5} e + 15 \, B a c^{2} d^{4} e^{2} - 12 \, A a c^{2} d^{3} e^{3} + 9 \, B a^{2} c d^{2} e^{4} - 6 \, A a^{2} c d e^{5} + B a^{3} e^{6}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 45045 \, {\left(B c^{3} d^{7} - A c^{3} d^{6} e + 3 \, B a c^{2} d^{5} e^{2} - 3 \, A a c^{2} d^{4} e^{3} + 3 \, B a^{2} c d^{3} e^{4} - 3 \, A a^{2} c d^{2} e^{5} + B a^{3} d e^{6} - A a^{3} e^{7}\right)} \sqrt{e x + d}\right)}}{45045 \, e^{8}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*B*c^3 - 3465*(7*B*c^3*d - A*c^3*e)*(e*x + d)^(13/2) + 12285*(7*B*c^3*d^2 - 2*A*c^3*d*e + B*a*c^2*e^2)*(e*x + d)^(11/2) - 5005*(35*B*c^3*d^3 - 15*A*c^3*d^2*e + 15*B*a*c^2*d*e^2 - 3*A*a*c^2*e^3)*(e*x + d)^(9/2) + 6435*(35*B*c^3*d^4 - 20*A*c^3*d^3*e + 30*B*a*c^2*d^2*e^2 - 12*A*a*c^2*d*e^3 + 3*B*a^2*c*e^4)*(e*x + d)^(7/2) - 27027*(7*B*c^3*d^5 - 5*A*c^3*d^4*e + 10*B*a*c^2*d^3*e^2 - 6*A*a*c^2*d^2*e^3 + 3*B*a^2*c*d*e^4 - A*a^2*c*e^5)*(e*x + d)^(5/2) + 15015*(7*B*c^3*d^6 - 6*A*c^3*d^5*e + 15*B*a*c^2*d^4*e^2 - 12*A*a*c^2*d^3*e^3 + 9*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5 + B*a^3*e^6)*(e*x + d)^(3/2) - 45045*(B*c^3*d^7 - A*c^3*d^6*e + 3*B*a*c^2*d^5*e^2 - 3*A*a*c^2*d^4*e^3 + 3*B*a^2*c*d^3*e^4 - 3*A*a^2*c*d^2*e^5 + B*a^3*d*e^6 - A*a^3*e^7)*sqrt(e*x + d))/e^8","A",0
1442,1,461,0,0.549469," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{1155 \, {\left(e x + d\right)}^{\frac{13}{2}} B c^{3} - 1365 \, {\left(7 \, B c^{3} d - A c^{3} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 5005 \, {\left(7 \, B c^{3} d^{2} - 2 \, A c^{3} d e + B a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 2145 \, {\left(35 \, B c^{3} d^{3} - 15 \, A c^{3} d^{2} e + 15 \, B a c^{2} d e^{2} - 3 \, A a c^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 3003 \, {\left(35 \, B c^{3} d^{4} - 20 \, A c^{3} d^{3} e + 30 \, B a c^{2} d^{2} e^{2} - 12 \, A a c^{2} d e^{3} + 3 \, B a^{2} c e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 15015 \, {\left(7 \, B c^{3} d^{5} - 5 \, A c^{3} d^{4} e + 10 \, B a c^{2} d^{3} e^{2} - 6 \, A a c^{2} d^{2} e^{3} + 3 \, B a^{2} c d e^{4} - A a^{2} c e^{5}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15015 \, {\left(7 \, B c^{3} d^{6} - 6 \, A c^{3} d^{5} e + 15 \, B a c^{2} d^{4} e^{2} - 12 \, A a c^{2} d^{3} e^{3} + 9 \, B a^{2} c d^{2} e^{4} - 6 \, A a^{2} c d e^{5} + B a^{3} e^{6}\right)} \sqrt{e x + d}}{e^{7}} + \frac{15015 \, {\left(B c^{3} d^{7} - A c^{3} d^{6} e + 3 \, B a c^{2} d^{5} e^{2} - 3 \, A a c^{2} d^{4} e^{3} + 3 \, B a^{2} c d^{3} e^{4} - 3 \, A a^{2} c d^{2} e^{5} + B a^{3} d e^{6} - A a^{3} e^{7}\right)}}{\sqrt{e x + d} e^{7}}\right)}}{15015 \, e}"," ",0,"2/15015*((1155*(e*x + d)^(13/2)*B*c^3 - 1365*(7*B*c^3*d - A*c^3*e)*(e*x + d)^(11/2) + 5005*(7*B*c^3*d^2 - 2*A*c^3*d*e + B*a*c^2*e^2)*(e*x + d)^(9/2) - 2145*(35*B*c^3*d^3 - 15*A*c^3*d^2*e + 15*B*a*c^2*d*e^2 - 3*A*a*c^2*e^3)*(e*x + d)^(7/2) + 3003*(35*B*c^3*d^4 - 20*A*c^3*d^3*e + 30*B*a*c^2*d^2*e^2 - 12*A*a*c^2*d*e^3 + 3*B*a^2*c*e^4)*(e*x + d)^(5/2) - 15015*(7*B*c^3*d^5 - 5*A*c^3*d^4*e + 10*B*a*c^2*d^3*e^2 - 6*A*a*c^2*d^2*e^3 + 3*B*a^2*c*d*e^4 - A*a^2*c*e^5)*(e*x + d)^(3/2) + 15015*(7*B*c^3*d^6 - 6*A*c^3*d^5*e + 15*B*a*c^2*d^4*e^2 - 12*A*a*c^2*d^3*e^3 + 9*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5 + B*a^3*e^6)*sqrt(e*x + d))/e^7 + 15015*(B*c^3*d^7 - A*c^3*d^6*e + 3*B*a*c^2*d^5*e^2 - 3*A*a*c^2*d^4*e^3 + 3*B*a^2*c*d^3*e^4 - 3*A*a^2*c*d^2*e^5 + B*a^3*d*e^6 - A*a^3*e^7)/(sqrt(e*x + d)*e^7))/e","A",0
1443,1,459,0,0.651315," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{315 \, {\left(e x + d\right)}^{\frac{11}{2}} B c^{3} - 385 \, {\left(7 \, B c^{3} d - A c^{3} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 1485 \, {\left(7 \, B c^{3} d^{2} - 2 \, A c^{3} d e + B a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 693 \, {\left(35 \, B c^{3} d^{3} - 15 \, A c^{3} d^{2} e + 15 \, B a c^{2} d e^{2} - 3 \, A a c^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(35 \, B c^{3} d^{4} - 20 \, A c^{3} d^{3} e + 30 \, B a c^{2} d^{2} e^{2} - 12 \, A a c^{2} d e^{3} + 3 \, B a^{2} c e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 10395 \, {\left(7 \, B c^{3} d^{5} - 5 \, A c^{3} d^{4} e + 10 \, B a c^{2} d^{3} e^{2} - 6 \, A a c^{2} d^{2} e^{3} + 3 \, B a^{2} c d e^{4} - A a^{2} c e^{5}\right)} \sqrt{e x + d}}{e^{7}} + \frac{1155 \, {\left(B c^{3} d^{7} - A c^{3} d^{6} e + 3 \, B a c^{2} d^{5} e^{2} - 3 \, A a c^{2} d^{4} e^{3} + 3 \, B a^{2} c d^{3} e^{4} - 3 \, A a^{2} c d^{2} e^{5} + B a^{3} d e^{6} - A a^{3} e^{7} - 3 \, {\left(7 \, B c^{3} d^{6} - 6 \, A c^{3} d^{5} e + 15 \, B a c^{2} d^{4} e^{2} - 12 \, A a c^{2} d^{3} e^{3} + 9 \, B a^{2} c d^{2} e^{4} - 6 \, A a^{2} c d e^{5} + B a^{3} e^{6}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{7}}\right)}}{3465 \, e}"," ",0,"2/3465*((315*(e*x + d)^(11/2)*B*c^3 - 385*(7*B*c^3*d - A*c^3*e)*(e*x + d)^(9/2) + 1485*(7*B*c^3*d^2 - 2*A*c^3*d*e + B*a*c^2*e^2)*(e*x + d)^(7/2) - 693*(35*B*c^3*d^3 - 15*A*c^3*d^2*e + 15*B*a*c^2*d*e^2 - 3*A*a*c^2*e^3)*(e*x + d)^(5/2) + 1155*(35*B*c^3*d^4 - 20*A*c^3*d^3*e + 30*B*a*c^2*d^2*e^2 - 12*A*a*c^2*d*e^3 + 3*B*a^2*c*e^4)*(e*x + d)^(3/2) - 10395*(7*B*c^3*d^5 - 5*A*c^3*d^4*e + 10*B*a*c^2*d^3*e^2 - 6*A*a*c^2*d^2*e^3 + 3*B*a^2*c*d*e^4 - A*a^2*c*e^5)*sqrt(e*x + d))/e^7 + 1155*(B*c^3*d^7 - A*c^3*d^6*e + 3*B*a*c^2*d^5*e^2 - 3*A*a*c^2*d^4*e^3 + 3*B*a^2*c*d^3*e^4 - 3*A*a^2*c*d^2*e^5 + B*a^3*d*e^6 - A*a^3*e^7 - 3*(7*B*c^3*d^6 - 6*A*c^3*d^5*e + 15*B*a*c^2*d^4*e^2 - 12*A*a*c^2*d^3*e^3 + 9*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5 + B*a^3*e^6)*(e*x + d))/((e*x + d)^(3/2)*e^7))/e","A",0
1444,1,461,0,0.642368," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}} B c^{3} - 45 \, {\left(7 \, B c^{3} d - A c^{3} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 189 \, {\left(7 \, B c^{3} d^{2} - 2 \, A c^{3} d e + B a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 105 \, {\left(35 \, B c^{3} d^{3} - 15 \, A c^{3} d^{2} e + 15 \, B a c^{2} d e^{2} - 3 \, A a c^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 315 \, {\left(35 \, B c^{3} d^{4} - 20 \, A c^{3} d^{3} e + 30 \, B a c^{2} d^{2} e^{2} - 12 \, A a c^{2} d e^{3} + 3 \, B a^{2} c e^{4}\right)} \sqrt{e x + d}}{e^{7}} + \frac{21 \, {\left(3 \, B c^{3} d^{7} - 3 \, A c^{3} d^{6} e + 9 \, B a c^{2} d^{5} e^{2} - 9 \, A a c^{2} d^{4} e^{3} + 9 \, B a^{2} c d^{3} e^{4} - 9 \, A a^{2} c d^{2} e^{5} + 3 \, B a^{3} d e^{6} - 3 \, A a^{3} e^{7} + 45 \, {\left(7 \, B c^{3} d^{5} - 5 \, A c^{3} d^{4} e + 10 \, B a c^{2} d^{3} e^{2} - 6 \, A a c^{2} d^{2} e^{3} + 3 \, B a^{2} c d e^{4} - A a^{2} c e^{5}\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(7 \, B c^{3} d^{6} - 6 \, A c^{3} d^{5} e + 15 \, B a c^{2} d^{4} e^{2} - 12 \, A a c^{2} d^{3} e^{3} + 9 \, B a^{2} c d^{2} e^{4} - 6 \, A a^{2} c d e^{5} + B a^{3} e^{6}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{7}}\right)}}{315 \, e}"," ",0,"2/315*((35*(e*x + d)^(9/2)*B*c^3 - 45*(7*B*c^3*d - A*c^3*e)*(e*x + d)^(7/2) + 189*(7*B*c^3*d^2 - 2*A*c^3*d*e + B*a*c^2*e^2)*(e*x + d)^(5/2) - 105*(35*B*c^3*d^3 - 15*A*c^3*d^2*e + 15*B*a*c^2*d*e^2 - 3*A*a*c^2*e^3)*(e*x + d)^(3/2) + 315*(35*B*c^3*d^4 - 20*A*c^3*d^3*e + 30*B*a*c^2*d^2*e^2 - 12*A*a*c^2*d*e^3 + 3*B*a^2*c*e^4)*sqrt(e*x + d))/e^7 + 21*(3*B*c^3*d^7 - 3*A*c^3*d^6*e + 9*B*a*c^2*d^5*e^2 - 9*A*a*c^2*d^4*e^3 + 9*B*a^2*c*d^3*e^4 - 9*A*a^2*c*d^2*e^5 + 3*B*a^3*d*e^6 - 3*A*a^3*e^7 + 45*(7*B*c^3*d^5 - 5*A*c^3*d^4*e + 10*B*a*c^2*d^3*e^2 - 6*A*a*c^2*d^2*e^3 + 3*B*a^2*c*d*e^4 - A*a^2*c*e^5)*(e*x + d)^2 - 5*(7*B*c^3*d^6 - 6*A*c^3*d^5*e + 15*B*a*c^2*d^4*e^2 - 12*A*a*c^2*d^3*e^3 + 9*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5 + B*a^3*e^6)*(e*x + d))/((e*x + d)^(5/2)*e^7))/e","A",0
1445,1,460,0,0.630711," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}} B c^{3} - 7 \, {\left(7 \, B c^{3} d - A c^{3} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(7 \, B c^{3} d^{2} - 2 \, A c^{3} d e + B a c^{2} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 35 \, {\left(35 \, B c^{3} d^{3} - 15 \, A c^{3} d^{2} e + 15 \, B a c^{2} d e^{2} - 3 \, A a c^{2} e^{3}\right)} \sqrt{e x + d}}{e^{7}} + \frac{5 \, B c^{3} d^{7} - 5 \, A c^{3} d^{6} e + 15 \, B a c^{2} d^{5} e^{2} - 15 \, A a c^{2} d^{4} e^{3} + 15 \, B a^{2} c d^{3} e^{4} - 15 \, A a^{2} c d^{2} e^{5} + 5 \, B a^{3} d e^{6} - 5 \, A a^{3} e^{7} - 35 \, {\left(35 \, B c^{3} d^{4} - 20 \, A c^{3} d^{3} e + 30 \, B a c^{2} d^{2} e^{2} - 12 \, A a c^{2} d e^{3} + 3 \, B a^{2} c e^{4}\right)} {\left(e x + d\right)}^{3} + 35 \, {\left(7 \, B c^{3} d^{5} - 5 \, A c^{3} d^{4} e + 10 \, B a c^{2} d^{3} e^{2} - 6 \, A a c^{2} d^{2} e^{3} + 3 \, B a^{2} c d e^{4} - A a^{2} c e^{5}\right)} {\left(e x + d\right)}^{2} - 7 \, {\left(7 \, B c^{3} d^{6} - 6 \, A c^{3} d^{5} e + 15 \, B a c^{2} d^{4} e^{2} - 12 \, A a c^{2} d^{3} e^{3} + 9 \, B a^{2} c d^{2} e^{4} - 6 \, A a^{2} c d e^{5} + B a^{3} e^{6}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{7}{2}} e^{7}}\right)}}{35 \, e}"," ",0,"2/35*((5*(e*x + d)^(7/2)*B*c^3 - 7*(7*B*c^3*d - A*c^3*e)*(e*x + d)^(5/2) + 35*(7*B*c^3*d^2 - 2*A*c^3*d*e + B*a*c^2*e^2)*(e*x + d)^(3/2) - 35*(35*B*c^3*d^3 - 15*A*c^3*d^2*e + 15*B*a*c^2*d*e^2 - 3*A*a*c^2*e^3)*sqrt(e*x + d))/e^7 + (5*B*c^3*d^7 - 5*A*c^3*d^6*e + 15*B*a*c^2*d^5*e^2 - 15*A*a*c^2*d^4*e^3 + 15*B*a^2*c*d^3*e^4 - 15*A*a^2*c*d^2*e^5 + 5*B*a^3*d*e^6 - 5*A*a^3*e^7 - 35*(35*B*c^3*d^4 - 20*A*c^3*d^3*e + 30*B*a*c^2*d^2*e^2 - 12*A*a*c^2*d*e^3 + 3*B*a^2*c*e^4)*(e*x + d)^3 + 35*(7*B*c^3*d^5 - 5*A*c^3*d^4*e + 10*B*a*c^2*d^3*e^2 - 6*A*a*c^2*d^2*e^3 + 3*B*a^2*c*d*e^4 - A*a^2*c*e^5)*(e*x + d)^2 - 7*(7*B*c^3*d^6 - 6*A*c^3*d^5*e + 15*B*a*c^2*d^4*e^2 - 12*A*a*c^2*d^3*e^3 + 9*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5 + B*a^3*e^6)*(e*x + d))/((e*x + d)^(7/2)*e^7))/e","A",0
1446,1,461,0,0.579221," ","integrate((B*x+A)*(c*x^2+a)^3/(e*x+d)^(11/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{21 \, {\left(3 \, {\left(e x + d\right)}^{\frac{5}{2}} B c^{3} - 5 \, {\left(7 \, B c^{3} d - A c^{3} e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 45 \, {\left(7 \, B c^{3} d^{2} - 2 \, A c^{3} d e + B a c^{2} e^{2}\right)} \sqrt{e x + d}\right)}}{e^{7}} + \frac{35 \, B c^{3} d^{7} - 35 \, A c^{3} d^{6} e + 105 \, B a c^{2} d^{5} e^{2} - 105 \, A a c^{2} d^{4} e^{3} + 105 \, B a^{2} c d^{3} e^{4} - 105 \, A a^{2} c d^{2} e^{5} + 35 \, B a^{3} d e^{6} - 35 \, A a^{3} e^{7} + 315 \, {\left(35 \, B c^{3} d^{3} - 15 \, A c^{3} d^{2} e + 15 \, B a c^{2} d e^{2} - 3 \, A a c^{2} e^{3}\right)} {\left(e x + d\right)}^{4} - 105 \, {\left(35 \, B c^{3} d^{4} - 20 \, A c^{3} d^{3} e + 30 \, B a c^{2} d^{2} e^{2} - 12 \, A a c^{2} d e^{3} + 3 \, B a^{2} c e^{4}\right)} {\left(e x + d\right)}^{3} + 189 \, {\left(7 \, B c^{3} d^{5} - 5 \, A c^{3} d^{4} e + 10 \, B a c^{2} d^{3} e^{2} - 6 \, A a c^{2} d^{2} e^{3} + 3 \, B a^{2} c d e^{4} - A a^{2} c e^{5}\right)} {\left(e x + d\right)}^{2} - 45 \, {\left(7 \, B c^{3} d^{6} - 6 \, A c^{3} d^{5} e + 15 \, B a c^{2} d^{4} e^{2} - 12 \, A a c^{2} d^{3} e^{3} + 9 \, B a^{2} c d^{2} e^{4} - 6 \, A a^{2} c d e^{5} + B a^{3} e^{6}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{9}{2}} e^{7}}\right)}}{315 \, e}"," ",0,"2/315*(21*(3*(e*x + d)^(5/2)*B*c^3 - 5*(7*B*c^3*d - A*c^3*e)*(e*x + d)^(3/2) + 45*(7*B*c^3*d^2 - 2*A*c^3*d*e + B*a*c^2*e^2)*sqrt(e*x + d))/e^7 + (35*B*c^3*d^7 - 35*A*c^3*d^6*e + 105*B*a*c^2*d^5*e^2 - 105*A*a*c^2*d^4*e^3 + 105*B*a^2*c*d^3*e^4 - 105*A*a^2*c*d^2*e^5 + 35*B*a^3*d*e^6 - 35*A*a^3*e^7 + 315*(35*B*c^3*d^3 - 15*A*c^3*d^2*e + 15*B*a*c^2*d*e^2 - 3*A*a*c^2*e^3)*(e*x + d)^4 - 105*(35*B*c^3*d^4 - 20*A*c^3*d^3*e + 30*B*a*c^2*d^2*e^2 - 12*A*a*c^2*d*e^3 + 3*B*a^2*c*e^4)*(e*x + d)^3 + 189*(7*B*c^3*d^5 - 5*A*c^3*d^4*e + 10*B*a*c^2*d^3*e^2 - 6*A*a*c^2*d^2*e^3 + 3*B*a^2*c*d*e^4 - A*a^2*c*e^5)*(e*x + d)^2 - 45*(7*B*c^3*d^6 - 6*A*c^3*d^5*e + 15*B*a*c^2*d^4*e^2 - 12*A*a*c^2*d^3*e^3 + 9*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5 + B*a^3*e^6)*(e*x + d))/((e*x + d)^(9/2)*e^7))/e","A",0
1447,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{c x^{2} - a}\,{d x}"," ",0,"-integrate((B*x + A)*(e*x + d)^(5/2)/(c*x^2 - a), x)","F",0
1448,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{c x^{2} - a}\,{d x}"," ",0,"-integrate((B*x + A)*(e*x + d)^(3/2)/(c*x^2 - a), x)","F",0
1449,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{c x^{2} - a}\,{d x}"," ",0,"-integrate((B*x + A)*sqrt(e*x + d)/(c*x^2 - a), x)","F",0
1450,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(1/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{B x + A}{{\left(c x^{2} - a\right)} \sqrt{e x + d}}\,{d x}"," ",0,"-integrate((B*x + A)/((c*x^2 - a)*sqrt(e*x + d)), x)","F",0
1451,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{B x + A}{{\left(c x^{2} - a\right)} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((B*x + A)/((c*x^2 - a)*(e*x + d)^(3/2)), x)","F",0
1452,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(5/2)/(-c*x^2+a),x, algorithm=""maxima"")","-\int \frac{B x + A}{{\left(c x^{2} - a\right)} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((B*x + A)/((c*x^2 - a)*(e*x + d)^(5/2)), x)","F",0
1453,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} - a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(5/2)/(c*x^2 - a)^2, x)","F",0
1454,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} - a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(3/2)/(c*x^2 - a)^2, x)","F",0
1455,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{{\left(c x^{2} - a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/(c*x^2 - a)^2, x)","F",0
1456,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(1/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} - a\right)}^{2} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 - a)^2*sqrt(e*x + d)), x)","F",0
1457,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(-c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} - a\right)}^{2} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 - a)^2*(e*x + d)^(3/2)), x)","F",0
1458,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(7/2)/(-c*x^2+a)^3,x, algorithm=""maxima"")","-\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} - a\right)}^{3}}\,{d x}"," ",0,"-integrate((B*x + A)*(e*x + d)^(7/2)/(c*x^2 - a)^3, x)","F",0
1459,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/(-c*x^2+a)^3,x, algorithm=""maxima"")","-\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} - a\right)}^{3}}\,{d x}"," ",0,"-integrate((B*x + A)*(e*x + d)^(5/2)/(c*x^2 - a)^3, x)","F",0
1460,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(-c*x^2+a)^3,x, algorithm=""maxima"")","-\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} - a\right)}^{3}}\,{d x}"," ",0,"-integrate((B*x + A)*(e*x + d)^(3/2)/(c*x^2 - a)^3, x)","F",0
1461,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(-c*x^2+a)^3,x, algorithm=""maxima"")","-\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{{\left(c x^{2} - a\right)}^{3}}\,{d x}"," ",0,"-integrate((B*x + A)*sqrt(e*x + d)/(c*x^2 - a)^3, x)","F",0
1462,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(1/2)/(-c*x^2+a)^3,x, algorithm=""maxima"")","-\int \frac{B x + A}{{\left(c x^{2} - a\right)}^{3} \sqrt{e x + d}}\,{d x}"," ",0,"-integrate((B*x + A)/((c*x^2 - a)^3*sqrt(e*x + d)), x)","F",0
1463,0,0,0,0.000000," ","integrate((B*x+A)/(-B^2*e*x^2-A^2*e+2*A*B*d)/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\int \frac{B x + A}{{\left(B^{2} e x^{2} - 2 \, A B d + A^{2} e\right)} \sqrt{e x + d}}\,{d x}"," ",0,"-integrate((B*x + A)/((B^2*e*x^2 - 2*A*B*d + A^2*e)*sqrt(e*x + d)), x)","F",0
1464,0,0,0,0.000000," ","integrate(2*(B*x+A)/(x^2+1)/(2*(A^2*e-B^2*e)/A/B+4*e*x)^(1/2),x, algorithm=""maxima"")","2 \, \int \frac{B x + A}{\sqrt{4 \, e x + \frac{2 \, {\left(A^{2} e - B^{2} e\right)}}{A B}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"2*integrate((B*x + A)/(sqrt(4*e*x + 2*(A^2*e - B^2*e)/(A*B))*(x^2 + 1)), x)","F",0
1465,-2,0,0,0.000000," ","integrate((B*x+A)/(-x^2+1)/(e*x+d)^(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*d-4*e>0)', see `assume?` for more details)Is 4*d-4*e positive or negative?","F(-2)",0
1466,0,0,0,0.000000," ","integrate((B*x+A)/(x^2+1)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{e x + d} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(e*x + d)*(x^2 + 1)), x)","F",0
1467,0,0,0,0.000000," ","integrate((1-x)*(1+x)^(1/2)/(x^2+1),x, algorithm=""maxima"")","-\int \frac{\sqrt{x + 1} {\left(x - 1\right)}}{x^{2} + 1}\,{d x}"," ",0,"-integrate(sqrt(x + 1)*(x - 1)/(x^2 + 1), x)","F",0
1468,0,0,0,0.000000," ","integrate((3+x)/(x^2+1)/(4+3*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 3}{{\left(x^{2} + 1\right)} \sqrt{3 \, x + 4}}\,{d x}"," ",0,"integrate((x + 3)/((x^2 + 1)*sqrt(3*x + 4)), x)","F",0
1469,0,0,0,0.000000," ","integrate((1-3*x)/(x^2+1)/(4+3*x)^(1/2),x, algorithm=""maxima"")","-\int \frac{3 \, x - 1}{{\left(x^{2} + 1\right)} \sqrt{3 \, x + 4}}\,{d x}"," ",0,"-integrate((3*x - 1)/((x^2 + 1)*sqrt(3*x + 4)), x)","F",0
1470,1,21,0,1.201736," ","integrate((2+x)/(x^2+1)/(3+4*x)^(1/2),x, algorithm=""maxima"")","\arctan\left(\sqrt{4 \, x + 3} + 2\right) + \arctan\left(\sqrt{4 \, x + 3} - 2\right)"," ",0,"arctan(sqrt(4*x + 3) + 2) + arctan(sqrt(4*x + 3) - 2)","A",0
1471,0,0,0,0.000000," ","integrate((-2+x)/(x^2-8)/(-3+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 2}{{\left(x^{2} - 8\right)} \sqrt{x - 3}}\,{d x}"," ",0,"integrate((x - 2)/((x^2 - 8)*sqrt(x - 3)), x)","F",0
1472,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(B x + A\right)} \sqrt{e x + d}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)*sqrt(e*x + d), x)","F",0
1473,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(B x + A\right)}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)/sqrt(e*x + d), x)","F",0
1474,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(B x + A\right)}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)/(e*x + d)^(3/2), x)","F",0
1475,0,0,0,0.000000," ","integrate((B*x+A)*(c*x^2+a)^(1/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(B x + A\right)}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(B*x + A)/(e*x + d)^(5/2), x)","F",0
1476,0,0,0,0.000000," ","integrate((B*x+A)*(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}} {\left(B x + A\right)}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)/sqrt(e*x + d), x)","F",0
1477,0,0,0,0.000000," ","integrate((B*x+A)*(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(B x + A\right)}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)/(e*x + d)^(3/2), x)","F",0
1478,0,0,0,0.000000," ","integrate((B*x+A)*(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(B x + A\right)}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)/(e*x + d)^(5/2), x)","F",0
1479,0,0,0,0.000000," ","integrate((B*x+A)*(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(B x + A\right)}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + a)^(3/2)*(B*x + A)/(e*x + d)^(7/2), x)","F",0
1480,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(3/2)/sqrt(c*x^2 + a), x)","F",0
1481,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/sqrt(c*x^2 + a), x)","F",0
1482,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + a} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + a)*sqrt(e*x + d)), x)","F",0
1483,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + a)*(e*x + d)^(3/2)), x)","F",0
1484,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(3/2)/(c*x^2 + a)^(3/2), x)","F",0
1485,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/(c*x^2 + a)^(3/2), x)","F",0
1486,0,0,0,0.000000," ","integrate((B*x+A)/(c*x^2+a)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + a)^(3/2)*sqrt(e*x + d)), x)","F",0
1487,1,1104,0,0.872394," ","integrate((B*x+A)*(e*x+d)^m*(c*x^2+a)^3,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 a^{3}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} A 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 a^{2} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{3 \, {\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 a^{2} 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} A 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 a 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} 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{{\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}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*B*a^3/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*A*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*a^2*c/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 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*a^2*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*A*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*a*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*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) + ((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)","B",0
1488,1,575,0,0.738990," ","integrate((B*x+A)*(e*x+d)^m*(c*x^2+a)^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} B a^{2}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} A 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 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 a 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} 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^{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}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*B*a^2/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*A*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*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*a*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*A*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + ((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)","B",0
1489,1,238,0,0.667539," ","integrate((B*x+A)*(e*x+d)^m*(c*x^2+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 a}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} A 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} A 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 c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*B*a/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*A*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*A*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*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4)","A",0
1490,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m}}{c x^{2} + a}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^m/(c*x^2 + a), x)","F",0
1491,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^m/(c*x^2 + a)^2, x)","F",0
1492,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1+m)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m + 1}}{c x^{2} + a}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(m + 1)/(c*x^2 + a), x)","F",0
1493,1,58,0,1.278520," ","integrate((c*d*x-a*e)*(e*x+d)^(-3-2*p)*(c*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)} e^{\left(p \log\left(c x^{2} + a\right) - 2 \, p \log\left(e x + d\right)\right)}}{2 \, {\left(e^{2} {\left(p + 1\right)} x^{2} + 2 \, d e {\left(p + 1\right)} x + d^{2} {\left(p + 1\right)}\right)}}"," ",0,"1/2*(c*x^2 + a)*e^(p*log(c*x^2 + a) - 2*p*log(e*x + d))/(e^2*(p + 1)*x^2 + 2*d*e*(p + 1)*x + d^2*(p + 1))","A",0
1494,1,231,0,0.598785," ","integrate((2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, c^{2} e^{4} x^{8} + \frac{1}{7} \, {\left(8 \, c^{2} d e^{3} + 3 \, b c e^{4}\right)} x^{7} + a b d^{4} x + \frac{1}{6} \, {\left(12 \, c^{2} d^{2} e^{2} + 12 \, b c d e^{3} + {\left(b^{2} + 2 \, a c\right)} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(8 \, c^{2} d^{3} e + 18 \, b c d^{2} e^{2} + a b e^{4} + 4 \, {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} x^{5} + \frac{1}{2} \, {\left(c^{2} d^{4} + 6 \, b c d^{3} e + 2 \, a b d e^{3} + 3 \, {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, b c d^{4} + 6 \, a b d^{2} e^{2} + 4 \, {\left(b^{2} + 2 \, a c\right)} d^{3} e\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a b d^{3} e + {\left(b^{2} + 2 \, a c\right)} d^{4}\right)} x^{2}"," ",0,"1/4*c^2*e^4*x^8 + 1/7*(8*c^2*d*e^3 + 3*b*c*e^4)*x^7 + a*b*d^4*x + 1/6*(12*c^2*d^2*e^2 + 12*b*c*d*e^3 + (b^2 + 2*a*c)*e^4)*x^6 + 1/5*(8*c^2*d^3*e + 18*b*c*d^2*e^2 + a*b*e^4 + 4*(b^2 + 2*a*c)*d*e^3)*x^5 + 1/2*(c^2*d^4 + 6*b*c*d^3*e + 2*a*b*d*e^3 + 3*(b^2 + 2*a*c)*d^2*e^2)*x^4 + 1/3*(3*b*c*d^4 + 6*a*b*d^2*e^2 + 4*(b^2 + 2*a*c)*d^3*e)*x^3 + 1/2*(4*a*b*d^3*e + (b^2 + 2*a*c)*d^4)*x^2","A",0
1495,1,174,0,0.525741," ","integrate((2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2}{7} \, c^{2} e^{3} x^{7} + \frac{1}{2} \, {\left(2 \, c^{2} d e^{2} + b c e^{3}\right)} x^{6} + a b d^{3} x + \frac{1}{5} \, {\left(6 \, c^{2} d^{2} e + 9 \, b c d e^{2} + {\left(b^{2} + 2 \, a c\right)} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(2 \, c^{2} d^{3} + 9 \, b c d^{2} e + a b e^{3} + 3 \, {\left(b^{2} + 2 \, a c\right)} d e^{2}\right)} x^{4} + {\left(b c d^{3} + a b d e^{2} + {\left(b^{2} + 2 \, a c\right)} d^{2} e\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a b d^{2} e + {\left(b^{2} + 2 \, a c\right)} d^{3}\right)} x^{2}"," ",0,"2/7*c^2*e^3*x^7 + 1/2*(2*c^2*d*e^2 + b*c*e^3)*x^6 + a*b*d^3*x + 1/5*(6*c^2*d^2*e + 9*b*c*d*e^2 + (b^2 + 2*a*c)*e^3)*x^5 + 1/4*(2*c^2*d^3 + 9*b*c*d^2*e + a*b*e^3 + 3*(b^2 + 2*a*c)*d*e^2)*x^4 + (b*c*d^3 + a*b*d*e^2 + (b^2 + 2*a*c)*d^2*e)*x^3 + 1/2*(3*a*b*d^2*e + (b^2 + 2*a*c)*d^3)*x^2","A",0
1496,1,126,0,0.511036," ","integrate((2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{3} \, c^{2} e^{2} x^{6} + \frac{1}{5} \, {\left(4 \, c^{2} d e + 3 \, b c e^{2}\right)} x^{5} + a b d^{2} x + \frac{1}{4} \, {\left(2 \, c^{2} d^{2} + 6 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, b c d^{2} + a b e^{2} + 2 \, {\left(b^{2} + 2 \, a c\right)} d e\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b d e + {\left(b^{2} + 2 \, a c\right)} d^{2}\right)} x^{2}"," ",0,"1/3*c^2*e^2*x^6 + 1/5*(4*c^2*d*e + 3*b*c*e^2)*x^5 + a*b*d^2*x + 1/4*(2*c^2*d^2 + 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*x^4 + 1/3*(3*b*c*d^2 + a*b*e^2 + 2*(b^2 + 2*a*c)*d*e)*x^3 + 1/2*(2*a*b*d*e + (b^2 + 2*a*c)*d^2)*x^2","A",0
1497,1,73,0,0.525206," ","integrate((2*c*x+b)*(e*x+d)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2}{5} \, c^{2} e x^{5} + \frac{1}{4} \, {\left(2 \, c^{2} d + 3 \, b c e\right)} x^{4} + a b d x + \frac{1}{3} \, {\left(3 \, b c d + {\left(b^{2} + 2 \, a c\right)} e\right)} x^{3} + \frac{1}{2} \, {\left(a b e + {\left(b^{2} + 2 \, a c\right)} d\right)} x^{2}"," ",0,"2/5*c^2*e*x^5 + 1/4*(2*c^2*d + 3*b*c*e)*x^4 + a*b*d*x + 1/3*(3*b*c*d + (b^2 + 2*a*c)*e)*x^3 + 1/2*(a*b*e + (b^2 + 2*a*c)*d)*x^2","A",0
1498,1,14,0,0.604454," ","integrate((2*c*x+b)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(c x^{2} + b x + a\right)}^{2}"," ",0,"1/2*(c*x^2 + b*x + a)^2","A",0
1499,1,116,0,0.531314," ","integrate((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d),x, algorithm=""maxima"")","\frac{4 \, c^{2} e^{2} x^{3} - 3 \, {\left(2 \, c^{2} d e - 3 \, b c e^{2}\right)} x^{2} + 6 \, {\left(2 \, c^{2} d^{2} - 3 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} x}{6 \, e^{3}} - \frac{{\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^{4}}"," ",0,"1/6*(4*c^2*e^2*x^3 - 3*(2*c^2*d*e - 3*b*c*e^2)*x^2 + 6*(2*c^2*d^2 - 3*b*c*d*e + (b^2 + 2*a*c)*e^2)*x)/e^3 - (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^4","A",0
1500,1,117,0,0.492720," ","integrate((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{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}}{e^{5} x + d e^{4}} + \frac{c^{2} e x^{2} - {\left(4 \, c^{2} d - 3 \, b c e\right)} x}{e^{3}} + \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^{4}}"," ",0,"(2*c^2*d^3 - 3*b*c*d^2*e - a*b*e^3 + (b^2 + 2*a*c)*d*e^2)/(e^5*x + d*e^4) + (c^2*e*x^2 - (4*c^2*d - 3*b*c*e)*x)/e^3 + (6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*log(e*x + d)/e^4","A",0
1501,1,128,0,0.645247," ","integrate((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{10 \, c^{2} d^{3} - 9 \, b c d^{2} e + a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2} + 2 \, {\left(6 \, c^{2} d^{2} e - 6 \, b c d e^{2} + {\left(b^{2} + 2 \, a c\right)} e^{3}\right)} x}{2 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} + \frac{2 \, c^{2} x}{e^{3}} - \frac{3 \, {\left(2 \, c^{2} d - b c e\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"-1/2*(10*c^2*d^3 - 9*b*c*d^2*e + a*b*e^3 + (b^2 + 2*a*c)*d*e^2 + 2*(6*c^2*d^2*e - 6*b*c*d*e^2 + (b^2 + 2*a*c)*e^3)*x)/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) + 2*c^2*x/e^3 - 3*(2*c^2*d - b*c*e)*log(e*x + d)/e^4","A",0
1502,1,146,0,0.475505," ","integrate((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{22 \, c^{2} d^{3} - 6 \, b c d^{2} e - 2 \, a b e^{3} - {\left(b^{2} + 2 \, a c\right)} d e^{2} + 18 \, {\left(2 \, c^{2} d e^{2} - b c e^{3}\right)} x^{2} + 3 \, {\left(18 \, c^{2} d^{2} e - 6 \, b c d e^{2} - {\left(b^{2} + 2 \, a c\right)} e^{3}\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)}} + \frac{2 \, c^{2} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(22*c^2*d^3 - 6*b*c*d^2*e - 2*a*b*e^3 - (b^2 + 2*a*c)*d*e^2 + 18*(2*c^2*d*e^2 - b*c*e^3)*x^2 + 3*(18*c^2*d^2*e - 6*b*c*d*e^2 - (b^2 + 2*a*c)*e^3)*x)/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) + 2*c^2*log(e*x + d)/e^4","A",0
1503,1,150,0,0.534370," ","integrate((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{24 \, c^{2} e^{3} x^{3} + 6 \, c^{2} d^{3} + 3 \, b c d^{2} e + 3 \, a b e^{3} + {\left(b^{2} + 2 \, a c\right)} d e^{2} + 18 \, {\left(2 \, c^{2} d e^{2} + b c e^{3}\right)} x^{2} + 4 \, {\left(6 \, c^{2} d^{2} e + 3 \, b c d e^{2} + {\left(b^{2} + 2 \, a c\right)} e^{3}\right)} x}{12 \, {\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,"-1/12*(24*c^2*e^3*x^3 + 6*c^2*d^3 + 3*b*c*d^2*e + 3*a*b*e^3 + (b^2 + 2*a*c)*d*e^2 + 18*(2*c^2*d*e^2 + b*c*e^3)*x^2 + 4*(6*c^2*d^2*e + 3*b*c*d*e^2 + (b^2 + 2*a*c)*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)","A",0
1504,1,430,0,0.539146," ","integrate((2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{5} \, c^{3} e^{4} x^{10} + \frac{1}{9} \, {\left(8 \, c^{3} d e^{3} + 5 \, b c^{2} e^{4}\right)} x^{9} + \frac{1}{2} \, {\left(3 \, c^{3} d^{2} e^{2} + 5 \, b c^{2} d e^{3} + {\left(b^{2} c + a c^{2}\right)} e^{4}\right)} x^{8} + a^{2} b d^{4} x + \frac{1}{7} \, {\left(8 \, c^{3} d^{3} e + 30 \, b c^{2} d^{2} e^{2} + 16 \, {\left(b^{2} c + a c^{2}\right)} d e^{3} + {\left(b^{3} + 6 \, a b c\right)} e^{4}\right)} x^{7} + \frac{1}{3} \, {\left(c^{3} d^{4} + 10 \, b c^{2} d^{3} e + 12 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} + 2 \, {\left(b^{3} + 6 \, a b c\right)} d e^{3} + {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(5 \, b c^{2} d^{4} + a^{2} b e^{4} + 16 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e + 6 \, {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{2} + 8 \, {\left(a b^{2} + a^{2} c\right)} d e^{3}\right)} x^{5} + {\left(a^{2} b d e^{3} + {\left(b^{2} c + a c^{2}\right)} d^{4} + {\left(b^{3} + 6 \, a b c\right)} d^{3} e + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, a^{2} b d^{2} e^{2} + {\left(b^{3} + 6 \, a b c\right)} d^{4} + 8 \, {\left(a b^{2} + a^{2} c\right)} d^{3} e\right)} x^{3} + {\left(2 \, a^{2} b d^{3} e + {\left(a b^{2} + a^{2} c\right)} d^{4}\right)} x^{2}"," ",0,"1/5*c^3*e^4*x^10 + 1/9*(8*c^3*d*e^3 + 5*b*c^2*e^4)*x^9 + 1/2*(3*c^3*d^2*e^2 + 5*b*c^2*d*e^3 + (b^2*c + a*c^2)*e^4)*x^8 + a^2*b*d^4*x + 1/7*(8*c^3*d^3*e + 30*b*c^2*d^2*e^2 + 16*(b^2*c + a*c^2)*d*e^3 + (b^3 + 6*a*b*c)*e^4)*x^7 + 1/3*(c^3*d^4 + 10*b*c^2*d^3*e + 12*(b^2*c + a*c^2)*d^2*e^2 + 2*(b^3 + 6*a*b*c)*d*e^3 + (a*b^2 + a^2*c)*e^4)*x^6 + 1/5*(5*b*c^2*d^4 + a^2*b*e^4 + 16*(b^2*c + a*c^2)*d^3*e + 6*(b^3 + 6*a*b*c)*d^2*e^2 + 8*(a*b^2 + a^2*c)*d*e^3)*x^5 + (a^2*b*d*e^3 + (b^2*c + a*c^2)*d^4 + (b^3 + 6*a*b*c)*d^3*e + 3*(a*b^2 + a^2*c)*d^2*e^2)*x^4 + 1/3*(6*a^2*b*d^2*e^2 + (b^3 + 6*a*b*c)*d^4 + 8*(a*b^2 + a^2*c)*d^3*e)*x^3 + (2*a^2*b*d^3*e + (a*b^2 + a^2*c)*d^4)*x^2","A",0
1505,1,343,0,0.491095," ","integrate((2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2}{9} \, c^{3} e^{3} x^{9} + \frac{1}{8} \, {\left(6 \, c^{3} d e^{2} + 5 \, b c^{2} e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(6 \, c^{3} d^{2} e + 15 \, b c^{2} d e^{2} + 4 \, {\left(b^{2} c + a c^{2}\right)} e^{3}\right)} x^{7} + a^{2} b d^{3} x + \frac{1}{6} \, {\left(2 \, c^{3} d^{3} + 15 \, 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)} x^{6} + \frac{1}{5} \, {\left(5 \, b c^{2} d^{3} + 12 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e + 3 \, {\left(b^{3} + 6 \, a b c\right)} d e^{2} + 2 \, {\left(a b^{2} + a^{2} c\right)} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(a^{2} b e^{3} + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{3} + 3 \, {\left(b^{3} + 6 \, a b c\right)} d^{2} e + 6 \, {\left(a b^{2} + a^{2} c\right)} d e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, a^{2} b d e^{2} + {\left(b^{3} + 6 \, a b c\right)} d^{3} + 6 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b d^{2} e + 2 \, {\left(a b^{2} + a^{2} c\right)} d^{3}\right)} x^{2}"," ",0,"2/9*c^3*e^3*x^9 + 1/8*(6*c^3*d*e^2 + 5*b*c^2*e^3)*x^8 + 1/7*(6*c^3*d^2*e + 15*b*c^2*d*e^2 + 4*(b^2*c + a*c^2)*e^3)*x^7 + a^2*b*d^3*x + 1/6*(2*c^3*d^3 + 15*b*c^2*d^2*e + 12*(b^2*c + a*c^2)*d*e^2 + (b^3 + 6*a*b*c)*e^3)*x^6 + 1/5*(5*b*c^2*d^3 + 12*(b^2*c + a*c^2)*d^2*e + 3*(b^3 + 6*a*b*c)*d*e^2 + 2*(a*b^2 + a^2*c)*e^3)*x^5 + 1/4*(a^2*b*e^3 + 4*(b^2*c + a*c^2)*d^3 + 3*(b^3 + 6*a*b*c)*d^2*e + 6*(a*b^2 + a^2*c)*d*e^2)*x^4 + 1/3*(3*a^2*b*d*e^2 + (b^3 + 6*a*b*c)*d^3 + 6*(a*b^2 + a^2*c)*d^2*e)*x^3 + 1/2*(3*a^2*b*d^2*e + 2*(a*b^2 + a^2*c)*d^3)*x^2","A",0
1506,1,241,0,0.602940," ","integrate((2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{4} \, c^{3} e^{2} x^{8} + \frac{1}{7} \, {\left(4 \, c^{3} d e + 5 \, b c^{2} e^{2}\right)} x^{7} + \frac{1}{3} \, {\left(c^{3} d^{2} + 5 \, b c^{2} d e + 2 \, {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} x^{6} + a^{2} b d^{2} x + \frac{1}{5} \, {\left(5 \, b c^{2} d^{2} + 8 \, {\left(b^{2} c + a c^{2}\right)} d e + {\left(b^{3} + 6 \, a b c\right)} e^{2}\right)} x^{5} + \frac{1}{2} \, {\left(2 \, {\left(b^{2} c + a c^{2}\right)} d^{2} + {\left(b^{3} + 6 \, a b c\right)} d e + {\left(a b^{2} + a^{2} c\right)} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(a^{2} b e^{2} + {\left(b^{3} + 6 \, a b c\right)} d^{2} + 4 \, {\left(a b^{2} + a^{2} c\right)} d e\right)} x^{3} + {\left(a^{2} b d e + {\left(a b^{2} + a^{2} c\right)} d^{2}\right)} x^{2}"," ",0,"1/4*c^3*e^2*x^8 + 1/7*(4*c^3*d*e + 5*b*c^2*e^2)*x^7 + 1/3*(c^3*d^2 + 5*b*c^2*d*e + 2*(b^2*c + a*c^2)*e^2)*x^6 + a^2*b*d^2*x + 1/5*(5*b*c^2*d^2 + 8*(b^2*c + a*c^2)*d*e + (b^3 + 6*a*b*c)*e^2)*x^5 + 1/2*(2*(b^2*c + a*c^2)*d^2 + (b^3 + 6*a*b*c)*d*e + (a*b^2 + a^2*c)*e^2)*x^4 + 1/3*(a^2*b*e^2 + (b^3 + 6*a*b*c)*d^2 + 4*(a*b^2 + a^2*c)*d*e)*x^3 + (a^2*b*d*e + (a*b^2 + a^2*c)*d^2)*x^2","A",0
1507,1,151,0,0.545657," ","integrate((2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2}{7} \, c^{3} e x^{7} + \frac{1}{6} \, {\left(2 \, c^{3} d + 5 \, b c^{2} e\right)} x^{6} + \frac{1}{5} \, {\left(5 \, b c^{2} d + 4 \, {\left(b^{2} c + a c^{2}\right)} e\right)} x^{5} + a^{2} b d x + \frac{1}{4} \, {\left(4 \, {\left(b^{2} c + a c^{2}\right)} d + {\left(b^{3} + 6 \, a b c\right)} e\right)} x^{4} + \frac{1}{3} \, {\left({\left(b^{3} + 6 \, a b c\right)} d + 2 \, {\left(a b^{2} + a^{2} c\right)} e\right)} x^{3} + \frac{1}{2} \, {\left(a^{2} b e + 2 \, {\left(a b^{2} + a^{2} c\right)} d\right)} x^{2}"," ",0,"2/7*c^3*e*x^7 + 1/6*(2*c^3*d + 5*b*c^2*e)*x^6 + 1/5*(5*b*c^2*d + 4*(b^2*c + a*c^2)*e)*x^5 + a^2*b*d*x + 1/4*(4*(b^2*c + a*c^2)*d + (b^3 + 6*a*b*c)*e)*x^4 + 1/3*((b^3 + 6*a*b*c)*d + 2*(a*b^2 + a^2*c)*e)*x^3 + 1/2*(a^2*b*e + 2*(a*b^2 + a^2*c)*d)*x^2","A",0
1508,1,14,0,0.534028," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(c x^{2} + b x + a\right)}^{3}"," ",0,"1/3*(c*x^2 + b*x + a)^3","A",0
1509,1,307,0,0.501678," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d),x, algorithm=""maxima"")","\frac{24 \, c^{3} e^{4} x^{5} - 15 \, {\left(2 \, c^{3} d e^{3} - 5 \, b c^{2} e^{4}\right)} x^{4} + 20 \, {\left(2 \, c^{3} d^{2} e^{2} - 5 \, b c^{2} d e^{3} + 4 \, {\left(b^{2} c + a c^{2}\right)} e^{4}\right)} x^{3} - 30 \, {\left(2 \, c^{3} d^{3} e - 5 \, b c^{2} d^{2} e^{2} + 4 \, {\left(b^{2} c + a c^{2}\right)} d e^{3} - {\left(b^{3} + 6 \, a b c\right)} e^{4}\right)} x^{2} + 60 \, {\left(2 \, c^{3} d^{4} - 5 \, b c^{2} d^{3} e + 4 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} x}{60 \, e^{5}} - \frac{{\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^{6}}"," ",0,"1/60*(24*c^3*e^4*x^5 - 15*(2*c^3*d*e^3 - 5*b*c^2*e^4)*x^4 + 20*(2*c^3*d^2*e^2 - 5*b*c^2*d*e^3 + 4*(b^2*c + a*c^2)*e^4)*x^3 - 30*(2*c^3*d^3*e - 5*b*c^2*d^2*e^2 + 4*(b^2*c + a*c^2)*d*e^3 - (b^3 + 6*a*b*c)*e^4)*x^2 + 60*(2*c^3*d^4 - 5*b*c^2*d^3*e + 4*(b^2*c + a*c^2)*d^2*e^2 - (b^3 + 6*a*b*c)*d*e^3 + 2*(a*b^2 + a^2*c)*e^4)*x)/e^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)*log(e*x + d)/e^6","A",0
1510,1,310,0,0.643204," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^2,x, algorithm=""maxima"")","\frac{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}}{e^{7} x + d e^{6}} + \frac{3 \, c^{3} e^{3} x^{4} - 2 \, {\left(4 \, c^{3} d e^{2} - 5 \, b c^{2} e^{3}\right)} x^{3} + 6 \, {\left(3 \, c^{3} d^{2} e - 5 \, b c^{2} d e^{2} + 2 \, {\left(b^{2} c + a c^{2}\right)} e^{3}\right)} x^{2} - 6 \, {\left(8 \, c^{3} d^{3} - 15 \, b c^{2} d^{2} e + 8 \, {\left(b^{2} c + a c^{2}\right)} d e^{2} - {\left(b^{3} + 6 \, a b c\right)} e^{3}\right)} x}{6 \, e^{5}} + \frac{2 \, {\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^{6}}"," ",0,"(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^7*x + d*e^6) + 1/6*(3*c^3*e^3*x^4 - 2*(4*c^3*d*e^2 - 5*b*c^2*e^3)*x^3 + 6*(3*c^3*d^2*e - 5*b*c^2*d*e^2 + 2*(b^2*c + a*c^2)*e^3)*x^2 - 6*(8*c^3*d^3 - 15*b*c^2*d^2*e + 8*(b^2*c + a*c^2)*d*e^2 - (b^3 + 6*a*b*c)*e^3)*x)/e^5 + 2*(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^6","A",0
1511,1,317,0,0.679597," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{18 \, c^{3} d^{5} - 35 \, b c^{2} d^{4} e + a^{2} b e^{5} + 20 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - 3 \, {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} + 2 \, {\left(a b^{2} + a^{2} c\right)} d e^{4} + 4 \, {\left(5 \, c^{3} d^{4} e - 10 \, b c^{2} d^{3} e^{2} + 6 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{3} - {\left(b^{3} + 6 \, a b c\right)} d e^{4} + {\left(a b^{2} + a^{2} c\right)} e^{5}\right)} x}{2 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)}} + \frac{4 \, c^{3} e^{2} x^{3} - 3 \, {\left(6 \, c^{3} d e - 5 \, b c^{2} e^{2}\right)} x^{2} + 6 \, {\left(12 \, c^{3} d^{2} - 15 \, b c^{2} d e + 4 \, {\left(b^{2} c + a c^{2}\right)} e^{2}\right)} x}{6 \, e^{5}} - \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^{6}}"," ",0,"-1/2*(18*c^3*d^5 - 35*b*c^2*d^4*e + a^2*b*e^5 + 20*(b^2*c + a*c^2)*d^3*e^2 - 3*(b^3 + 6*a*b*c)*d^2*e^3 + 2*(a*b^2 + a^2*c)*d*e^4 + 4*(5*c^3*d^4*e - 10*b*c^2*d^3*e^2 + 6*(b^2*c + a*c^2)*d^2*e^3 - (b^3 + 6*a*b*c)*d*e^4 + (a*b^2 + a^2*c)*e^5)*x)/(e^8*x^2 + 2*d*e^7*x + d^2*e^6) + 1/6*(4*c^3*e^2*x^3 - 3*(6*c^3*d*e - 5*b*c^2*e^2)*x^2 + 6*(12*c^3*d^2 - 15*b*c^2*d*e + 4*(b^2*c + a*c^2)*e^2)*x)/e^5 - (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^6","A",0
1512,1,327,0,0.630798," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{47 \, c^{3} d^{5} - 65 \, b c^{2} d^{4} e - a^{2} b e^{5} + 22 \, {\left(b^{2} c + a c^{2}\right)} d^{3} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{2} e^{3} - {\left(a b^{2} + a^{2} c\right)} d e^{4} + 3 \, {\left(20 \, c^{3} d^{3} e^{2} - 30 \, b c^{2} d^{2} e^{3} + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{4} - {\left(b^{3} + 6 \, a b c\right)} e^{5}\right)} x^{2} + 3 \, {\left(35 \, c^{3} d^{4} e - 50 \, b c^{2} d^{3} e^{2} + 18 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{3} - {\left(b^{3} + 6 \, a b c\right)} d e^{4} - {\left(a b^{2} + a^{2} c\right)} e^{5}\right)} x}{3 \, {\left(e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}\right)}} + \frac{c^{3} e x^{2} - {\left(8 \, c^{3} d - 5 \, b c^{2} e\right)} x}{e^{5}} + \frac{4 \, {\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^{6}}"," ",0,"1/3*(47*c^3*d^5 - 65*b*c^2*d^4*e - a^2*b*e^5 + 22*(b^2*c + a*c^2)*d^3*e^2 - (b^3 + 6*a*b*c)*d^2*e^3 - (a*b^2 + a^2*c)*d*e^4 + 3*(20*c^3*d^3*e^2 - 30*b*c^2*d^2*e^3 + 12*(b^2*c + a*c^2)*d*e^4 - (b^3 + 6*a*b*c)*e^5)*x^2 + 3*(35*c^3*d^4*e - 50*b*c^2*d^3*e^2 + 18*(b^2*c + a*c^2)*d^2*e^3 - (b^3 + 6*a*b*c)*d*e^4 - (a*b^2 + a^2*c)*e^5)*x)/(e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6) + (c^3*e*x^2 - (8*c^3*d - 5*b*c^2*e)*x)/e^5 + 4*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*log(e*x + d)/e^6","A",0
1513,1,338,0,0.655000," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{154 \, c^{3} d^{5} - 125 \, b c^{2} d^{4} e + 3 \, a^{2} b e^{5} + 12 \, {\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} + 48 \, {\left(5 \, c^{3} d^{2} e^{3} - 5 \, b c^{2} d e^{4} + {\left(b^{2} c + a c^{2}\right)} e^{5}\right)} x^{3} + 6 \, {\left(100 \, c^{3} d^{3} e^{2} - 90 \, b c^{2} d^{2} e^{3} + 12 \, {\left(b^{2} c + a c^{2}\right)} d e^{4} + {\left(b^{3} + 6 \, a b c\right)} e^{5}\right)} x^{2} + 4 \, {\left(130 \, c^{3} d^{4} e - 110 \, b c^{2} d^{3} e^{2} + 12 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{3} + {\left(b^{3} + 6 \, a b c\right)} d e^{4} + 2 \, {\left(a b^{2} + a^{2} c\right)} e^{5}\right)} x}{12 \, {\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)}} + \frac{2 \, c^{3} x}{e^{5}} - \frac{5 \, {\left(2 \, c^{3} d - b c^{2} e\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"-1/12*(154*c^3*d^5 - 125*b*c^2*d^4*e + 3*a^2*b*e^5 + 12*(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 + 48*(5*c^3*d^2*e^3 - 5*b*c^2*d*e^4 + (b^2*c + a*c^2)*e^5)*x^3 + 6*(100*c^3*d^3*e^2 - 90*b*c^2*d^2*e^3 + 12*(b^2*c + a*c^2)*d*e^4 + (b^3 + 6*a*b*c)*e^5)*x^2 + 4*(130*c^3*d^4*e - 110*b*c^2*d^3*e^2 + 12*(b^2*c + a*c^2)*d^2*e^3 + (b^3 + 6*a*b*c)*d*e^4 + 2*(a*b^2 + a^2*c)*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) + 2*c^3*x/e^5 - 5*(2*c^3*d - b*c^2*e)*log(e*x + d)/e^6","A",0
1514,1,729,0,0.547767," ","integrate((2*c*x+b)*(e*x+d)^4*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{6} \, c^{4} e^{4} x^{12} + \frac{1}{11} \, {\left(8 \, c^{4} d e^{3} + 7 \, b c^{3} e^{4}\right)} x^{11} + \frac{1}{10} \, {\left(12 \, c^{4} d^{2} e^{2} + 28 \, b c^{3} d e^{3} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{4}\right)} x^{10} + \frac{1}{9} \, {\left(8 \, c^{4} d^{3} e + 42 \, b c^{3} d^{2} e^{2} + 12 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{3} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{4}\right)} x^{9} + a^{3} b d^{4} x + \frac{1}{8} \, {\left(2 \, c^{4} d^{4} + 28 \, b c^{3} d^{3} e + 18 \, {\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)} x^{8} + \frac{1}{7} \, {\left(7 \, b c^{3} d^{4} + 12 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e + 30 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{2} + 4 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{3} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} + 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e + 6 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{2} + 12 \, {\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^{6} + \frac{1}{5} \, {\left(a^{3} b e^{4} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} + 4 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e + 18 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e^{2} + 4 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(4 \, a^{3} b d e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} + 12 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e + 6 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, a^{3} b d^{2} e^{2} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{4} + 4 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{3} e\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b d^{3} e + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{4}\right)} x^{2}"," ",0,"1/6*c^4*e^4*x^12 + 1/11*(8*c^4*d*e^3 + 7*b*c^3*e^4)*x^11 + 1/10*(12*c^4*d^2*e^2 + 28*b*c^3*d*e^3 + 3*(3*b^2*c^2 + 2*a*c^3)*e^4)*x^10 + 1/9*(8*c^4*d^3*e + 42*b*c^3*d^2*e^2 + 12*(3*b^2*c^2 + 2*a*c^3)*d*e^3 + 5*(b^3*c + 3*a*b*c^2)*e^4)*x^9 + a^3*b*d^4*x + 1/8*(2*c^4*d^4 + 28*b*c^3*d^3*e + 18*(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)*x^8 + 1/7*(7*b*c^3*d^4 + 12*(3*b^2*c^2 + 2*a*c^3)*d^3*e + 30*(b^3*c + 3*a*b*c^2)*d^2*e^2 + 4*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^3 + 3*(a*b^3 + 3*a^2*b*c)*e^4)*x^7 + 1/6*(3*(3*b^2*c^2 + 2*a*c^3)*d^4 + 20*(b^3*c + 3*a*b*c^2)*d^3*e + 6*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^2 + 12*(a*b^3 + 3*a^2*b*c)*d*e^3 + (3*a^2*b^2 + 2*a^3*c)*e^4)*x^6 + 1/5*(a^3*b*e^4 + 5*(b^3*c + 3*a*b*c^2)*d^4 + 4*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e + 18*(a*b^3 + 3*a^2*b*c)*d^2*e^2 + 4*(3*a^2*b^2 + 2*a^3*c)*d*e^3)*x^5 + 1/4*(4*a^3*b*d*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4 + 12*(a*b^3 + 3*a^2*b*c)*d^3*e + 6*(3*a^2*b^2 + 2*a^3*c)*d^2*e^2)*x^4 + 1/3*(6*a^3*b*d^2*e^2 + 3*(a*b^3 + 3*a^2*b*c)*d^4 + 4*(3*a^2*b^2 + 2*a^3*c)*d^3*e)*x^3 + 1/2*(4*a^3*b*d^3*e + (3*a^2*b^2 + 2*a^3*c)*d^4)*x^2","A",0
1515,1,565,0,0.540366," ","integrate((2*c*x+b)*(e*x+d)^3*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{2}{11} \, c^{4} e^{3} x^{11} + \frac{1}{10} \, {\left(6 \, c^{4} d e^{2} + 7 \, b c^{3} e^{3}\right)} x^{10} + \frac{1}{3} \, {\left(2 \, c^{4} d^{2} e + 7 \, b c^{3} d e^{2} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{3}\right)} x^{9} + \frac{1}{8} \, {\left(2 \, c^{4} d^{3} + 21 \, b c^{3} d^{2} e + 9 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{2} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{3}\right)} x^{8} + a^{3} b d^{3} x + \frac{1}{7} \, {\left(7 \, b c^{3} d^{3} + 9 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e + 15 \, {\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^{7} + \frac{1}{2} \, {\left({\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e + {\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^{3}\right)} x^{6} + \frac{1}{5} \, {\left(5 \, {\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 + 9 \, {\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^{3}\right)} x^{5} + \frac{1}{4} \, {\left(a^{3} b e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} + 9 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} e + 3 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e^{2}\right)} x^{4} + {\left(a^{3} b d e^{2} + {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{3} b d^{2} e + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{3}\right)} x^{2}"," ",0,"2/11*c^4*e^3*x^11 + 1/10*(6*c^4*d*e^2 + 7*b*c^3*e^3)*x^10 + 1/3*(2*c^4*d^2*e + 7*b*c^3*d*e^2 + (3*b^2*c^2 + 2*a*c^3)*e^3)*x^9 + 1/8*(2*c^4*d^3 + 21*b*c^3*d^2*e + 9*(3*b^2*c^2 + 2*a*c^3)*d*e^2 + 5*(b^3*c + 3*a*b*c^2)*e^3)*x^8 + a^3*b*d^3*x + 1/7*(7*b*c^3*d^3 + 9*(3*b^2*c^2 + 2*a*c^3)*d^2*e + 15*(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^7 + 1/2*((3*b^2*c^2 + 2*a*c^3)*d^3 + 5*(b^3*c + 3*a*b*c^2)*d^2*e + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^2 + (a*b^3 + 3*a^2*b*c)*e^3)*x^6 + 1/5*(5*(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 + 9*(a*b^3 + 3*a^2*b*c)*d*e^2 + (3*a^2*b^2 + 2*a^3*c)*e^3)*x^5 + 1/4*(a^3*b*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3 + 9*(a*b^3 + 3*a^2*b*c)*d^2*e + 3*(3*a^2*b^2 + 2*a^3*c)*d*e^2)*x^4 + (a^3*b*d*e^2 + (a*b^3 + 3*a^2*b*c)*d^3 + (3*a^2*b^2 + 2*a^3*c)*d^2*e)*x^3 + 1/2*(3*a^3*b*d^2*e + (3*a^2*b^2 + 2*a^3*c)*d^3)*x^2","A",0
1516,1,417,0,0.550257," ","integrate((2*c*x+b)*(e*x+d)^2*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{5} \, c^{4} e^{2} x^{10} + \frac{1}{9} \, {\left(4 \, c^{4} d e + 7 \, b c^{3} e^{2}\right)} x^{9} + \frac{1}{8} \, {\left(2 \, c^{4} d^{2} + 14 \, b c^{3} d e + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{2}\right)} x^{8} + \frac{1}{7} \, {\left(7 \, b c^{3} d^{2} + 6 \, {\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^{2}\right)} x^{7} + a^{3} b d^{2} x + \frac{1}{6} \, {\left(3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} + 10 \, {\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^{6} + \frac{1}{5} \, {\left(5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} + 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^{2}\right)} x^{5} + \frac{1}{4} \, {\left({\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} + 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(a^{3} b e^{2} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{2} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d e\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a^{3} b d e + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2}\right)} x^{2}"," ",0,"1/5*c^4*e^2*x^10 + 1/9*(4*c^4*d*e + 7*b*c^3*e^2)*x^9 + 1/8*(2*c^4*d^2 + 14*b*c^3*d*e + 3*(3*b^2*c^2 + 2*a*c^3)*e^2)*x^8 + 1/7*(7*b*c^3*d^2 + 6*(3*b^2*c^2 + 2*a*c^3)*d*e + 5*(b^3*c + 3*a*b*c^2)*e^2)*x^7 + a^3*b*d^2*x + 1/6*(3*(3*b^2*c^2 + 2*a*c^3)*d^2 + 10*(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^6 + 1/5*(5*(b^3*c + 3*a*b*c^2)*d^2 + 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^2)*x^5 + 1/4*((b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2 + 6*(a*b^3 + 3*a^2*b*c)*d*e + (3*a^2*b^2 + 2*a^3*c)*e^2)*x^4 + 1/3*(a^3*b*e^2 + 3*(a*b^3 + 3*a^2*b*c)*d^2 + 2*(3*a^2*b^2 + 2*a^3*c)*d*e)*x^3 + 1/2*(2*a^3*b*d*e + (3*a^2*b^2 + 2*a^3*c)*d^2)*x^2","A",0
1517,1,261,0,0.594407," ","integrate((2*c*x+b)*(e*x+d)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{2}{9} \, c^{4} e x^{9} + \frac{1}{8} \, {\left(2 \, c^{4} d + 7 \, b c^{3} e\right)} x^{8} + \frac{1}{7} \, {\left(7 \, b c^{3} d + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e\right)} x^{7} + \frac{1}{6} \, {\left(3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e\right)} x^{6} + a^{3} b d x + \frac{1}{5} \, {\left(5 \, {\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^{5} + \frac{1}{4} \, {\left({\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e\right)} x^{4} + \frac{1}{3} \, {\left(3 \, {\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^{3} + \frac{1}{2} \, {\left(a^{3} b e + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d\right)} x^{2}"," ",0,"2/9*c^4*e*x^9 + 1/8*(2*c^4*d + 7*b*c^3*e)*x^8 + 1/7*(7*b*c^3*d + 3*(3*b^2*c^2 + 2*a*c^3)*e)*x^7 + 1/6*(3*(3*b^2*c^2 + 2*a*c^3)*d + 5*(b^3*c + 3*a*b*c^2)*e)*x^6 + a^3*b*d*x + 1/5*(5*(b^3*c + 3*a*b*c^2)*d + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*e)*x^5 + 1/4*((b^4 + 12*a*b^2*c + 6*a^2*c^2)*d + 3*(a*b^3 + 3*a^2*b*c)*e)*x^4 + 1/3*(3*(a*b^3 + 3*a^2*b*c)*d + (3*a^2*b^2 + 2*a^3*c)*e)*x^3 + 1/2*(a^3*b*e + (3*a^2*b^2 + 2*a^3*c)*d)*x^2","A",0
1518,1,14,0,0.491890," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + b x + a\right)}^{4}"," ",0,"1/4*(c*x^2 + b*x + a)^4","A",0
1519,1,644,0,0.659283," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d),x, algorithm=""maxima"")","\frac{120 \, c^{4} e^{6} x^{7} - 70 \, {\left(2 \, c^{4} d e^{5} - 7 \, b c^{3} e^{6}\right)} x^{6} + 84 \, {\left(2 \, c^{4} d^{2} e^{4} - 7 \, b c^{3} d e^{5} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{6}\right)} x^{5} - 105 \, {\left(2 \, c^{4} d^{3} e^{3} - 7 \, b c^{3} d^{2} e^{4} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{5} - 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{6}\right)} x^{4} + 140 \, {\left(2 \, c^{4} d^{4} e^{2} - 7 \, b c^{3} d^{3} e^{3} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{4} - 5 \, {\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} - 210 \, {\left(2 \, c^{4} d^{5} e - 7 \, b c^{3} d^{4} e^{2} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{3} - 5 \, {\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} - 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{6}\right)} x^{2} + 420 \, {\left(2 \, c^{4} d^{6} - 7 \, b c^{3} d^{5} e + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{2} - 5 \, {\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^{4} - 3 \, {\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)} x}{420 \, e^{7}} - \frac{{\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^{8}}"," ",0,"1/420*(120*c^4*e^6*x^7 - 70*(2*c^4*d*e^5 - 7*b*c^3*e^6)*x^6 + 84*(2*c^4*d^2*e^4 - 7*b*c^3*d*e^5 + 3*(3*b^2*c^2 + 2*a*c^3)*e^6)*x^5 - 105*(2*c^4*d^3*e^3 - 7*b*c^3*d^2*e^4 + 3*(3*b^2*c^2 + 2*a*c^3)*d*e^5 - 5*(b^3*c + 3*a*b*c^2)*e^6)*x^4 + 140*(2*c^4*d^4*e^2 - 7*b*c^3*d^3*e^3 + 3*(3*b^2*c^2 + 2*a*c^3)*d^2*e^4 - 5*(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 - 210*(2*c^4*d^5*e - 7*b*c^3*d^4*e^2 + 3*(3*b^2*c^2 + 2*a*c^3)*d^3*e^3 - 5*(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 - 3*(a*b^3 + 3*a^2*b*c)*e^6)*x^2 + 420*(2*c^4*d^6 - 7*b*c^3*d^5*e + 3*(3*b^2*c^2 + 2*a*c^3)*d^4*e^2 - 5*(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^4 - 3*(a*b^3 + 3*a^2*b*c)*d*e^5 + (3*a^2*b^2 + 2*a^3*c)*e^6)*x)/e^7 - (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^8","A",0
1520,1,649,0,0.710317," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^2,x, algorithm=""maxima"")","\frac{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}}{e^{9} x + d e^{8}} + \frac{20 \, c^{4} e^{5} x^{6} - 12 \, {\left(4 \, c^{4} d e^{4} - 7 \, b c^{3} e^{5}\right)} x^{5} + 15 \, {\left(6 \, c^{4} d^{2} e^{3} - 14 \, b c^{3} d e^{4} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{5}\right)} x^{4} - 20 \, {\left(8 \, c^{4} d^{3} e^{2} - 21 \, b c^{3} d^{2} e^{3} + 6 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{4} - 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{5}\right)} x^{3} + 30 \, {\left(10 \, c^{4} d^{4} e - 28 \, b c^{3} d^{3} e^{2} + 9 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{3} - 10 \, {\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} - 60 \, {\left(12 \, c^{4} d^{5} - 35 \, b c^{3} d^{4} e + 12 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{2} - 15 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{2} e^{3} + 2 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d e^{4} - 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{5}\right)} x}{60 \, e^{7}} + \frac{{\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^{8}}"," ",0,"(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)/(e^9*x + d*e^8) + 1/60*(20*c^4*e^5*x^6 - 12*(4*c^4*d*e^4 - 7*b*c^3*e^5)*x^5 + 15*(6*c^4*d^2*e^3 - 14*b*c^3*d*e^4 + 3*(3*b^2*c^2 + 2*a*c^3)*e^5)*x^4 - 20*(8*c^4*d^3*e^2 - 21*b*c^3*d^2*e^3 + 6*(3*b^2*c^2 + 2*a*c^3)*d*e^4 - 5*(b^3*c + 3*a*b*c^2)*e^5)*x^3 + 30*(10*c^4*d^4*e - 28*b*c^3*d^3*e^2 + 9*(3*b^2*c^2 + 2*a*c^3)*d^2*e^3 - 10*(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 - 60*(12*c^4*d^5 - 35*b*c^3*d^4*e + 12*(3*b^2*c^2 + 2*a*c^3)*d^3*e^2 - 15*(b^3*c + 3*a*b*c^2)*d^2*e^3 + 2*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d*e^4 - 3*(a*b^3 + 3*a^2*b*c)*e^5)*x)/e^7 + (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^8","A",0
1521,1,656,0,0.693670," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{26 \, c^{4} d^{7} - 77 \, b c^{3} d^{6} e + a^{3} b e^{7} + 27 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{2} - 35 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{3} + 5 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{4} - 9 \, {\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} + 2 \, {\left(14 \, c^{4} d^{6} e - 42 \, b c^{3} d^{5} e^{2} + 15 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{3} - 20 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{4} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{5} - 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{6} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{7}\right)} x}{2 \, {\left(e^{10} x^{2} + 2 \, d e^{9} x + d^{2} e^{8}\right)}} + \frac{8 \, c^{4} e^{4} x^{5} - 5 \, {\left(6 \, c^{4} d e^{3} - 7 \, b c^{3} e^{4}\right)} x^{4} + 20 \, {\left(4 \, c^{4} d^{2} e^{2} - 7 \, b c^{3} d e^{3} + {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{4}\right)} x^{3} - 10 \, {\left(20 \, c^{4} d^{3} e - 42 \, b c^{3} d^{2} e^{2} + 9 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{3} - 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{4}\right)} x^{2} + 20 \, {\left(30 \, c^{4} d^{4} - 70 \, b c^{3} d^{3} e + 18 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{2} - 15 \, {\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}{20 \, e^{7}} - \frac{3 \, {\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^{8}}"," ",0,"-1/2*(26*c^4*d^7 - 77*b*c^3*d^6*e + a^3*b*e^7 + 27*(3*b^2*c^2 + 2*a*c^3)*d^5*e^2 - 35*(b^3*c + 3*a*b*c^2)*d^4*e^3 + 5*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^4 - 9*(a*b^3 + 3*a^2*b*c)*d^2*e^5 + (3*a^2*b^2 + 2*a^3*c)*d*e^6 + 2*(14*c^4*d^6*e - 42*b*c^3*d^5*e^2 + 15*(3*b^2*c^2 + 2*a*c^3)*d^4*e^3 - 20*(b^3*c + 3*a*b*c^2)*d^3*e^4 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^5 - 6*(a*b^3 + 3*a^2*b*c)*d*e^6 + (3*a^2*b^2 + 2*a^3*c)*e^7)*x)/(e^10*x^2 + 2*d*e^9*x + d^2*e^8) + 1/20*(8*c^4*e^4*x^5 - 5*(6*c^4*d*e^3 - 7*b*c^3*e^4)*x^4 + 20*(4*c^4*d^2*e^2 - 7*b*c^3*d*e^3 + (3*b^2*c^2 + 2*a*c^3)*e^4)*x^3 - 10*(20*c^4*d^3*e - 42*b*c^3*d^2*e^2 + 9*(3*b^2*c^2 + 2*a*c^3)*d*e^3 - 5*(b^3*c + 3*a*b*c^2)*e^4)*x^2 + 20*(30*c^4*d^4 - 70*b*c^3*d^3*e + 18*(3*b^2*c^2 + 2*a*c^3)*d^2*e^2 - 15*(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^7 - 3*(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^8","A",0
1522,1,670,0,0.645218," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^4,x, algorithm=""maxima"")","\frac{214 \, c^{4} d^{7} - 518 \, b c^{3} d^{6} e - 2 \, a^{3} b e^{7} + 141 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{2} - 130 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{3} + 11 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{3} e^{4} - 6 \, {\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} + 18 \, {\left(14 \, c^{4} d^{5} e^{2} - 35 \, b c^{3} d^{4} e^{3} + 10 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{4} - 10 \, {\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} - {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{7}\right)} x^{2} + 3 \, {\left(154 \, c^{4} d^{6} e - 378 \, b c^{3} d^{5} e^{2} + 105 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{3} - 100 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{4} + 9 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{5} - 6 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{6} - {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{7}\right)} x}{6 \, {\left(e^{11} x^{3} + 3 \, d e^{10} x^{2} + 3 \, d^{2} e^{9} x + d^{3} e^{8}\right)}} + \frac{3 \, c^{4} e^{3} x^{4} - 2 \, {\left(8 \, c^{4} d e^{2} - 7 \, b c^{3} e^{3}\right)} x^{3} + 3 \, {\left(20 \, c^{4} d^{2} e - 28 \, b c^{3} d e^{2} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{3}\right)} x^{2} - 6 \, {\left(40 \, c^{4} d^{3} - 70 \, b c^{3} d^{2} e + 12 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d e^{2} - 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} e^{3}\right)} x}{6 \, e^{7}} + \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^{8}}"," ",0,"1/6*(214*c^4*d^7 - 518*b*c^3*d^6*e - 2*a^3*b*e^7 + 141*(3*b^2*c^2 + 2*a*c^3)*d^5*e^2 - 130*(b^3*c + 3*a*b*c^2)*d^4*e^3 + 11*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^3*e^4 - 6*(a*b^3 + 3*a^2*b*c)*d^2*e^5 - (3*a^2*b^2 + 2*a^3*c)*d*e^6 + 18*(14*c^4*d^5*e^2 - 35*b*c^3*d^4*e^3 + 10*(3*b^2*c^2 + 2*a*c^3)*d^3*e^4 - 10*(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 - (a*b^3 + 3*a^2*b*c)*e^7)*x^2 + 3*(154*c^4*d^6*e - 378*b*c^3*d^5*e^2 + 105*(3*b^2*c^2 + 2*a*c^3)*d^4*e^3 - 100*(b^3*c + 3*a*b*c^2)*d^3*e^4 + 9*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^5 - 6*(a*b^3 + 3*a^2*b*c)*d*e^6 - (3*a^2*b^2 + 2*a^3*c)*e^7)*x)/(e^11*x^3 + 3*d*e^10*x^2 + 3*d^2*e^9*x + d^3*e^8) + 1/6*(3*c^4*e^3*x^4 - 2*(8*c^4*d*e^2 - 7*b*c^3*e^3)*x^3 + 3*(20*c^4*d^2*e - 28*b*c^3*d*e^2 + 3*(3*b^2*c^2 + 2*a*c^3)*e^3)*x^2 - 6*(40*c^4*d^3 - 70*b*c^3*d^2*e + 12*(3*b^2*c^2 + 2*a*c^3)*d*e^2 - 5*(b^3*c + 3*a*b*c^2)*e^3)*x)/e^7 + (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^8","A",0
1523,1,679,0,0.661520," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{638 \, c^{4} d^{7} - 1197 \, b c^{3} d^{6} e + 3 \, a^{3} b e^{7} + 231 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{5} e^{2} - 125 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{4} e^{3} + 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} + 12 \, {\left(70 \, c^{4} d^{4} e^{3} - 140 \, b c^{3} d^{3} e^{4} + 30 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{2} e^{5} - 20 \, {\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^{3} + 18 \, {\left(126 \, c^{4} d^{5} e^{2} - 245 \, b c^{3} d^{4} e^{3} + 50 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{3} e^{4} - 30 \, {\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} + {\left(a b^{3} + 3 \, a^{2} b c\right)} e^{7}\right)} x^{2} + 4 \, {\left(518 \, c^{4} d^{6} e - 987 \, b c^{3} d^{5} e^{2} + 195 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{4} e^{3} - 110 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{3} e^{4} + 3 \, {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{2} e^{5} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d e^{6} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} e^{7}\right)} x}{12 \, {\left(e^{12} x^{4} + 4 \, d e^{11} x^{3} + 6 \, d^{2} e^{10} x^{2} + 4 \, d^{3} e^{9} x + d^{4} e^{8}\right)}} + \frac{4 \, c^{4} e^{2} x^{3} - 3 \, {\left(10 \, c^{4} d e - 7 \, b c^{3} e^{2}\right)} x^{2} + 6 \, {\left(30 \, c^{4} d^{2} - 35 \, b c^{3} d e + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} e^{2}\right)} x}{6 \, e^{7}} - \frac{5 \, {\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^{8}}"," ",0,"-1/12*(638*c^4*d^7 - 1197*b*c^3*d^6*e + 3*a^3*b*e^7 + 231*(3*b^2*c^2 + 2*a*c^3)*d^5*e^2 - 125*(b^3*c + 3*a*b*c^2)*d^4*e^3 + 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 + 12*(70*c^4*d^4*e^3 - 140*b*c^3*d^3*e^4 + 30*(3*b^2*c^2 + 2*a*c^3)*d^2*e^5 - 20*(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^3 + 18*(126*c^4*d^5*e^2 - 245*b*c^3*d^4*e^3 + 50*(3*b^2*c^2 + 2*a*c^3)*d^3*e^4 - 30*(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 + (a*b^3 + 3*a^2*b*c)*e^7)*x^2 + 4*(518*c^4*d^6*e - 987*b*c^3*d^5*e^2 + 195*(3*b^2*c^2 + 2*a*c^3)*d^4*e^3 - 110*(b^3*c + 3*a*b*c^2)*d^3*e^4 + 3*(b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^2*e^5 + 3*(a*b^3 + 3*a^2*b*c)*d*e^6 + (3*a^2*b^2 + 2*a^3*c)*e^7)*x)/(e^12*x^4 + 4*d*e^11*x^3 + 6*d^2*e^10*x^2 + 4*d^3*e^9*x + d^4*e^8) + 1/6*(4*c^4*e^2*x^3 - 3*(10*c^4*d*e - 7*b*c^3*e^2)*x^2 + 6*(30*c^4*d^2 - 35*b*c^3*d*e + 3*(3*b^2*c^2 + 2*a*c^3)*e^2)*x)/e^7 - 5*(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^8","A",0
1524,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1525,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1526,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1527,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1528,1,11,0,0.714268," ","integrate((2*c*x+b)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\log\left(c x^{2} + b x + a\right)"," ",0,"log(c*x^2 + b*x + a)","A",0
1529,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1530,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1531,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1532,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1533,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1534,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1535,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1536,1,14,0,0.563055," ","integrate((2*c*x+b)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{c x^{2} + b x + a}"," ",0,"-1/(c*x^2 + b*x + a)","A",0
1537,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1538,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1539,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1540,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1541,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1542,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1543,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1544,1,14,0,0.691137," ","integrate((2*c*x+b)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(c x^{2} + b x + a\right)}^{2}}"," ",0,"-1/2/(c*x^2 + b*x + a)^2","A",0
1545,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1546,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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 positive, negative or zero?","F(-2)",0
1547,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1548,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1549,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1550,1,14,0,0.623784," ","integrate((2*c*x+b)*(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}}"," ",0,"2/3*(c*x^2 + b*x + a)^(3/2)","A",0
1551,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
1552,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1553,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1554,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1555,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1556,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1557,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1558,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1559,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1560,1,14,0,0.508748," ","integrate((2*c*x+b)*(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}}"," ",0,"2/5*(c*x^2 + b*x + a)^(5/2)","A",0
1561,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
1562,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1563,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1564,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1565,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1566,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1567,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1568,1,14,0,0.470862," ","integrate((2*c*x+b)*(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}}"," ",0,"2/7*(c*x^2 + b*x + a)^(7/2)","A",0
1569,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
1570,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1571,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1572,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1573,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1574,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1575,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1576,1,14,0,0.557480," ","integrate((2*c*x+b)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{c x^{2} + b x + a}"," ",0,"2*sqrt(c*x^2 + b*x + a)","A",0
1577,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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((b/e-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((-(b*d)/e)        +(c*d^2)/e^2+a))     /e^2 zero or nonzero?","F(-2)",0
1578,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1579,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1580,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1581,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1582,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1583,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1584,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1585,1,14,0,0.507788," ","integrate((2*c*x+b)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{c x^{2} + b x + a}}"," ",0,"-2/sqrt(c*x^2 + b*x + a)","A",0
1586,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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((b/e-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((-(b*d)/e)        +(c*d^2)/e^2+a))     /e^2 zero or nonzero?","F(-2)",0
1587,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1588,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1589,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1590,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1591,-2,0,0,0.000000," ","integrate((2*c*x+b)*(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
1592,1,14,0,0.532005," ","integrate((2*c*x+b)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}"," ",0,"-2/3/(c*x^2 + b*x + a)^(3/2)","A",0
1593,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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((b/e-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((-(b*d)/e)        +(c*d^2)/e^2+a))     /e^2 zero or nonzero?","F(-2)",0
1594,-2,0,0,0.000000," ","integrate((2*c*x+b)/(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
1595,1,121,0,0.549005," ","integrate((2*c*x+b)*(e*x+d)^(5/2)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2 \, {\left(1386 \, {\left(e x + d\right)}^{\frac{13}{2}} c^{2} - 2457 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 1001 \, {\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}} - 1287 \, {\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}}\right)}}{9009 \, e^{4}}"," ",0,"2/9009*(1386*(e*x + d)^(13/2)*c^2 - 2457*(2*c^2*d - b*c*e)*(e*x + d)^(11/2) + 1001*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*(e*x + d)^(9/2) - 1287*(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))/e^4","A",0
1596,1,121,0,0.806485," ","integrate((2*c*x+b)*(e*x+d)^(3/2)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{2 \, {\left(210 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{2} - 385 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 165 \, {\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}} - 231 \, {\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}}\right)}}{1155 \, e^{4}}"," ",0,"2/1155*(210*(e*x + d)^(11/2)*c^2 - 385*(2*c^2*d - b*c*e)*(e*x + d)^(9/2) + 165*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*(e*x + d)^(7/2) - 231*(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))/e^4","A",0
1597,1,121,0,0.521674," ","integrate((2*c*x+b)*(c*x^2+b*x+a)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(70 \, {\left(e x + d\right)}^{\frac{9}{2}} c^{2} - 135 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 63 \, {\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{5}{2}} - 105 \, {\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{3}{2}}\right)}}{315 \, e^{4}}"," ",0,"2/315*(70*(e*x + d)^(9/2)*c^2 - 135*(2*c^2*d - b*c*e)*(e*x + d)^(7/2) + 63*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*(e*x + d)^(5/2) - 105*(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)^(3/2))/e^4","A",0
1598,1,121,0,0.532899," ","integrate((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(30 \, {\left(e x + d\right)}^{\frac{7}{2}} c^{2} - 63 \, {\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}} - 105 \, {\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}\right)}}{105 \, e^{4}}"," ",0,"2/105*(30*(e*x + d)^(7/2)*c^2 - 63*(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) - 105*(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","A",0
1599,1,129,0,0.717489," ","integrate((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{2 \, {\left(e x + d\right)}^{\frac{5}{2}} c^{2} - 5 \, {\left(2 \, c^{2} d - b c e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 5 \, {\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^{3}} + \frac{5 \, {\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^{3}}\right)}}{5 \, e}"," ",0,"2/5*((2*(e*x + d)^(5/2)*c^2 - 5*(2*c^2*d - b*c*e)*(e*x + d)^(3/2) + 5*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*sqrt(e*x + d))/e^3 + 5*(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^3))/e","A",0
1600,1,126,0,0.599832," ","integrate((2*c*x+b)*(c*x^2+b*x+a)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{2 \, {\left(e x + d\right)}^{\frac{3}{2}} c^{2} - 9 \, {\left(2 \, c^{2} d - b c e\right)} \sqrt{e x + d}}{e^{3}} + \frac{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} - 3 \, {\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)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{3}}\right)}}{3 \, e}"," ",0,"2/3*((2*(e*x + d)^(3/2)*c^2 - 9*(2*c^2*d - b*c*e)*sqrt(e*x + d))/e^3 + (2*c^2*d^3 - 3*b*c*d^2*e - a*b*e^3 + (b^2 + 2*a*c)*d*e^2 - 3*(6*c^2*d^2 - 6*b*c*d*e + (b^2 + 2*a*c)*e^2)*(e*x + d))/((e*x + d)^(3/2)*e^3))/e","A",0
1601,1,308,0,0.600400," ","integrate((2*c*x+b)*(e*x+d)^(5/2)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(18018 \, {\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}} + 47124 \, {\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}} - 13923 \, {\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}} + 34034 \, {\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}} - 21879 \, {\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}}\right)}}{153153 \, e^{6}}"," ",0,"2/153153*(18018*(e*x + d)^(17/2)*c^3 - 51051*(2*c^3*d - b*c^2*e)*(e*x + d)^(15/2) + 47124*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(13/2) - 13923*(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) + 34034*(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) - 21879*(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))/e^6","A",0
1602,1,308,0,0.528358," ","integrate((2*c*x+b)*(e*x+d)^(3/2)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(6006 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{3} - 17325 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 16380 \, {\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}} + 12870 \, {\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}} - 9009 \, {\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}}\right)}}{45045 \, e^{6}}"," ",0,"2/45045*(6006*(e*x + d)^(15/2)*c^3 - 17325*(2*c^3*d - b*c^2*e)*(e*x + d)^(13/2) + 16380*(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) + 12870*(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) - 9009*(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))/e^6","A",0
1603,1,308,0,0.538118," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(6930 \, {\left(e x + d\right)}^{\frac{13}{2}} c^{3} - 20475 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 20020 \, {\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{9}{2}} - 6435 \, {\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{7}{2}} + 18018 \, {\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{5}{2}} - 15015 \, {\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{3}{2}}\right)}}{45045 \, e^{6}}"," ",0,"2/45045*(6930*(e*x + d)^(13/2)*c^3 - 20475*(2*c^3*d - b*c^2*e)*(e*x + d)^(11/2) + 20020*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(9/2) - 6435*(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)^(7/2) + 18018*(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)^(5/2) - 15015*(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)^(3/2))/e^6","A",0
1604,1,308,0,0.530491," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(630 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{3} - 1925 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 1980 \, {\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}} - 693 \, {\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}} + 2310 \, {\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}\right)}}{3465 \, e^{6}}"," ",0,"2/3465*(630*(e*x + d)^(11/2)*c^3 - 1925*(2*c^3*d - b*c^2*e)*(e*x + d)^(9/2) + 1980*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(7/2) - 693*(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) + 2310*(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","A",0
1605,1,316,0,0.640808," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{70 \, {\left(e x + d\right)}^{\frac{9}{2}} c^{3} - 225 \, {\left(2 \, c^{3} d - b c^{2} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 252 \, {\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}} + 630 \, {\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^{5}} + \frac{315 \, {\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^{5}}\right)}}{315 \, e}"," ",0,"2/315*((70*(e*x + d)^(9/2)*c^3 - 225*(2*c^3*d - b*c^2*e)*(e*x + d)^(7/2) + 252*(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) + 630*(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^5 + 315*(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^5))/e","A",0
1606,1,314,0,0.533787," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{6 \, {\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}} + 28 \, {\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}} - 21 \, {\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^{5}} + \frac{7 \, {\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} - 6 \, {\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)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{5}}\right)}}{21 \, e}"," ",0,"2/21*((6*(e*x + d)^(7/2)*c^3 - 21*(2*c^3*d - b*c^2*e)*(e*x + d)^(5/2) + 28*(5*c^3*d^2 - 5*b*c^2*d*e + (b^2*c + a*c^2)*e^2)*(e*x + d)^(3/2) - 21*(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^5 + 7*(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 - 6*(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))/((e*x + d)^(3/2)*e^5))/e","A",0
1607,1,645,0,0.541289," ","integrate((2*c*x+b)*(e*x+d)^(5/2)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(277134 \, {\left(e x + d\right)}^{\frac{21}{2}} c^{4} - 1072071 \, {\left(2 \, c^{4} d - b c^{3} e\right)} {\left(e x + d\right)}^{\frac{19}{2}} + 513513 \, {\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)} {\left(e x + d\right)}^{\frac{17}{2}} - 969969 \, {\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)} {\left(e x + d\right)}^{\frac{15}{2}} + 223839 \, {\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)} {\left(e x + d\right)}^{\frac{13}{2}} - 793611 \, {\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)} {\left(e x + d\right)}^{\frac{11}{2}} + 323323 \, {\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)} {\left(e x + d\right)}^{\frac{9}{2}} - 415701 \, {\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)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{2909907 \, e^{8}}"," ",0,"2/2909907*(277134*(e*x + d)^(21/2)*c^4 - 1072071*(2*c^4*d - b*c^3*e)*(e*x + d)^(19/2) + 513513*(14*c^4*d^2 - 14*b*c^3*d*e + (3*b^2*c^2 + 2*a*c^3)*e^2)*(e*x + d)^(17/2) - 969969*(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)*(e*x + d)^(15/2) + 223839*(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)*(e*x + d)^(13/2) - 793611*(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)*(e*x + d)^(11/2) + 323323*(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)*(e*x + d)^(9/2) - 415701*(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)*(e*x + d)^(7/2))/e^8","A",0
1608,1,645,0,0.544879," ","integrate((2*c*x+b)*(e*x+d)^(3/2)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(510510 \, {\left(e x + d\right)}^{\frac{19}{2}} c^{4} - 1996995 \, {\left(2 \, c^{4} d - b c^{3} e\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 969969 \, {\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)} {\left(e x + d\right)}^{\frac{15}{2}} - 1865325 \, {\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)} {\left(e x + d\right)}^{\frac{13}{2}} + 440895 \, {\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)} {\left(e x + d\right)}^{\frac{11}{2}} - 1616615 \, {\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)} {\left(e x + d\right)}^{\frac{9}{2}} + 692835 \, {\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)} {\left(e x + d\right)}^{\frac{7}{2}} - 969969 \, {\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)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{4849845 \, e^{8}}"," ",0,"2/4849845*(510510*(e*x + d)^(19/2)*c^4 - 1996995*(2*c^4*d - b*c^3*e)*(e*x + d)^(17/2) + 969969*(14*c^4*d^2 - 14*b*c^3*d*e + (3*b^2*c^2 + 2*a*c^3)*e^2)*(e*x + d)^(15/2) - 1865325*(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)*(e*x + d)^(13/2) + 440895*(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)*(e*x + d)^(11/2) - 1616615*(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)*(e*x + d)^(9/2) + 692835*(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)*(e*x + d)^(7/2) - 969969*(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)*(e*x + d)^(5/2))/e^8","A",0
1609,1,645,0,0.648774," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(90090 \, {\left(e x + d\right)}^{\frac{17}{2}} c^{4} - 357357 \, {\left(2 \, c^{4} d - b c^{3} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 176715 \, {\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)} {\left(e x + d\right)}^{\frac{13}{2}} - 348075 \, {\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)} {\left(e x + d\right)}^{\frac{11}{2}} + 85085 \, {\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)} {\left(e x + d\right)}^{\frac{9}{2}} - 328185 \, {\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)} {\left(e x + d\right)}^{\frac{7}{2}} + 153153 \, {\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)} {\left(e x + d\right)}^{\frac{5}{2}} - 255255 \, {\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)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{765765 \, e^{8}}"," ",0,"2/765765*(90090*(e*x + d)^(17/2)*c^4 - 357357*(2*c^4*d - b*c^3*e)*(e*x + d)^(15/2) + 176715*(14*c^4*d^2 - 14*b*c^3*d*e + (3*b^2*c^2 + 2*a*c^3)*e^2)*(e*x + d)^(13/2) - 348075*(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)*(e*x + d)^(11/2) + 85085*(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)*(e*x + d)^(9/2) - 328185*(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)*(e*x + d)^(7/2) + 153153*(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)*(e*x + d)^(5/2) - 255255*(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)*(e*x + d)^(3/2))/e^8","A",0
1610,1,645,0,0.553411," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(6006 \, {\left(e x + d\right)}^{\frac{15}{2}} c^{4} - 24255 \, {\left(2 \, c^{4} d - b c^{3} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 12285 \, {\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)} {\left(e x + d\right)}^{\frac{11}{2}} - 25025 \, {\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)} {\left(e x + d\right)}^{\frac{9}{2}} + 6435 \, {\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)} {\left(e x + d\right)}^{\frac{7}{2}} - 27027 \, {\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)} {\left(e x + d\right)}^{\frac{5}{2}} + 15015 \, {\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)} {\left(e x + d\right)}^{\frac{3}{2}} - 45045 \, {\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)} \sqrt{e x + d}\right)}}{45045 \, e^{8}}"," ",0,"2/45045*(6006*(e*x + d)^(15/2)*c^4 - 24255*(2*c^4*d - b*c^3*e)*(e*x + d)^(13/2) + 12285*(14*c^4*d^2 - 14*b*c^3*d*e + (3*b^2*c^2 + 2*a*c^3)*e^2)*(e*x + d)^(11/2) - 25025*(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)*(e*x + d)^(9/2) + 6435*(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)*(e*x + d)^(7/2) - 27027*(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)*(e*x + d)^(5/2) + 15015*(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)*(e*x + d)^(3/2) - 45045*(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)*sqrt(e*x + d))/e^8","A",0
1611,1,653,0,0.538125," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{2310 \, {\left(e x + d\right)}^{\frac{13}{2}} c^{4} - 9555 \, {\left(2 \, c^{4} d - b c^{3} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 5005 \, {\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)} {\left(e x + d\right)}^{\frac{9}{2}} - 10725 \, {\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)} {\left(e x + d\right)}^{\frac{7}{2}} + 3003 \, {\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)} {\left(e x + d\right)}^{\frac{5}{2}} - 15015 \, {\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)} {\left(e x + d\right)}^{\frac{3}{2}} + 15015 \, {\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)} \sqrt{e x + d}}{e^{7}} + \frac{15015 \, {\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)}}{\sqrt{e x + d} e^{7}}\right)}}{15015 \, e}"," ",0,"2/15015*((2310*(e*x + d)^(13/2)*c^4 - 9555*(2*c^4*d - b*c^3*e)*(e*x + d)^(11/2) + 5005*(14*c^4*d^2 - 14*b*c^3*d*e + (3*b^2*c^2 + 2*a*c^3)*e^2)*(e*x + d)^(9/2) - 10725*(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)*(e*x + d)^(7/2) + 3003*(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)*(e*x + d)^(5/2) - 15015*(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)*(e*x + d)^(3/2) + 15015*(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)*sqrt(e*x + d))/e^7 + 15015*(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)/(sqrt(e*x + d)*e^7))/e","A",0
1612,1,651,0,0.665431," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^3/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{126 \, {\left(e x + d\right)}^{\frac{11}{2}} c^{4} - 539 \, {\left(2 \, c^{4} d - b c^{3} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 297 \, {\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)} {\left(e x + d\right)}^{\frac{7}{2}} - 693 \, {\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)} {\left(e x + d\right)}^{\frac{5}{2}} + 231 \, {\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)} {\left(e x + d\right)}^{\frac{3}{2}} - 2079 \, {\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)} \sqrt{e x + d}}{e^{7}} + \frac{231 \, {\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} - 3 \, {\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)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{7}}\right)}}{693 \, e}"," ",0,"2/693*((126*(e*x + d)^(11/2)*c^4 - 539*(2*c^4*d - b*c^3*e)*(e*x + d)^(9/2) + 297*(14*c^4*d^2 - 14*b*c^3*d*e + (3*b^2*c^2 + 2*a*c^3)*e^2)*(e*x + d)^(7/2) - 693*(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)*(e*x + d)^(5/2) + 231*(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)*(e*x + d)^(3/2) - 2079*(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)*sqrt(e*x + d))/e^7 + 231*(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 - 3*(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)*(e*x + d))/((e*x + d)^(3/2)*e^7))/e","A",0
1613,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(3/2)/(c*x^2 + b*x + a), x)","F",0
1614,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} \sqrt{e x + d}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((2*c*x + b)*sqrt(e*x + d)/(c*x^2 + b*x + a), x)","F",0
1615,0,0,0,0.000000," ","integrate((2*c*x+b)/(c*x^2+b*x+a)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, c x + b}{{\left(c x^{2} + b x + a\right)} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((2*c*x + b)/((c*x^2 + b*x + a)*sqrt(e*x + d)), x)","F",0
1616,0,0,0,0.000000," ","integrate((2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{2 \, c x + b}{{\left(c x^{2} + b x + a\right)} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)/((c*x^2 + b*x + a)*(e*x + d)^(3/2)), x)","F",0
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1623,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(7/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(7/2)/(c*x^2 + b*x + a)^3, x)","F",0
1624,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(5/2)/(c*x^2 + b*x + a)^3, x)","F",0
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1627,0,0,0,0.000000," ","integrate((2*c*x+b)/(c*x^2+b*x+a)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, c x + b}{{\left(c x^{2} + b x + a\right)}^{3} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((2*c*x + b)/((c*x^2 + b*x + a)^3*sqrt(e*x + d)), x)","F",0
1628,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(2 \, c x + b\right)} \sqrt{e x + d}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(2*c*x + b)*sqrt(e*x + d), x)","F",0
1629,0,0,0,0.000000," ","integrate((2*c*x+b)*(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} {\left(2 \, c x + b\right)}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(2*c*x + b)/sqrt(e*x + d), x)","F",0
1630,0,0,0,0.000000," ","integrate((2*c*x+b)*(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(2 \, c x + b\right)}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(2*c*x + b)/(e*x + d)^(3/2), x)","F",0
1631,0,0,0,0.000000," ","integrate((2*c*x+b)*(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(2 \, c x + b\right)}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(2*c*x + b)/(e*x + d)^(5/2), x)","F",0
1632,0,0,0,0.000000," ","integrate((2*c*x+b)*(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(2 \, c x + b\right)}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(2*c*x + b)/(e*x + d)^(7/2), x)","F",0
1633,0,0,0,0.000000," ","integrate((2*c*x+b)*(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}} {\left(2 \, c x + b\right)}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*(2*c*x + b)/sqrt(e*x + d), x)","F",0
1634,0,0,0,0.000000," ","integrate((2*c*x+b)*(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(2 \, c x + b\right)}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*(2*c*x + b)/(e*x + d)^(3/2), x)","F",0
1635,0,0,0,0.000000," ","integrate((2*c*x+b)*(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(2 \, c x + b\right)}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*(2*c*x + b)/(e*x + d)^(5/2), x)","F",0
1636,0,0,0,0.000000," ","integrate((2*c*x+b)*(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(2 \, c x + b\right)}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*(2*c*x + b)/(e*x + d)^(7/2), x)","F",0
1637,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(5/2)/sqrt(c*x^2 + b*x + a), x)","F",0
1638,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(3/2)/sqrt(c*x^2 + b*x + a), x)","F",0
1639,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} \sqrt{e x + d}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((2*c*x + b)*sqrt(e*x + d)/sqrt(c*x^2 + b*x + a), x)","F",0
1640,0,0,0,0.000000," ","integrate((2*c*x+b)/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, c x + b}{\sqrt{c x^{2} + b x + a} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((2*c*x + b)/(sqrt(c*x^2 + b*x + a)*sqrt(e*x + d)), x)","F",0
1641,0,0,0,0.000000," ","integrate((2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, c x + b}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)/(sqrt(c*x^2 + b*x + a)*(e*x + d)^(3/2)), x)","F",0
1642,0,0,0,0.000000," ","integrate((2*c*x+b)/(e*x+d)^(5/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, c x + b}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)/(sqrt(c*x^2 + b*x + a)*(e*x + d)^(5/2)), x)","F",0
1643,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(7/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(7/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1644,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(5/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1645,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(3/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1646,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} \sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*sqrt(e*x + d)/(c*x^2 + b*x + a)^(3/2), x)","F",0
1647,0,0,0,0.000000," ","integrate((2*c*x+b)/(c*x^2+b*x+a)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, c x + b}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((2*c*x + b)/((c*x^2 + b*x + a)^(3/2)*sqrt(e*x + d)), x)","F",0
1648,0,0,0,0.000000," ","integrate((2*c*x+b)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{2 \, c x + b}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)/((c*x^2 + b*x + a)^(3/2)*(e*x + d)^(3/2)), x)","F",0
1649,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(7/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{7}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(7/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1650,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^(5/2)/(c*x^2 + b*x + a)^(5/2), x)","F",0
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1652,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} \sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*sqrt(e*x + d)/(c*x^2 + b*x + a)^(5/2), x)","F",0
1653,0,0,0,0.000000," ","integrate((2*c*x+b)/(c*x^2+b*x+a)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, c x + b}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((2*c*x + b)/((c*x^2 + b*x + a)^(5/2)*sqrt(e*x + d)), x)","F",0
1654,1,1772,0,1.027781," ","integrate((2*c*x+b)*(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^{2}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \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^{3} c}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{3} b}{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^{3}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \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} b 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^{4}}{{\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 b^{2} c}{{\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^{2} c^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{5 \, {\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^{3} c}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \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 b c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{9 \, {\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^{2} 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^{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^{3}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \frac{7 \, {\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 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{2 \, {\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} c^{4}}{{\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}}"," ",0,"3*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^2*b^2/((m^2 + 3*m + 2)*e^2) + 2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^3*c/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^3*b/(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^3/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 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*b*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^4/((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*b^2*c/((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^2*c^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 5*((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^3*c/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 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*b*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 9*((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^2*c^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 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*c^3/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 7*((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*c^3/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7) + 2*((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*c^4/((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)","B",0
1655,1,802,0,0.747878," ","integrate((2*c*x+b)*(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^{2}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \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} c}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{2} b}{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^{3}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \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 b 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} b^{2} c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \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 c^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{5 \, {\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 c^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{2 \, {\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}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}}"," ",0,"2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a*b^2/((m^2 + 3*m + 2)*e^2) + 2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^2*c/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^2*b/(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^3/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 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*b*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*b^2*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 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*c^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 5*((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*c^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 2*((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/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6)","B",0
1656,1,287,0,0.551792," ","integrate((2*c*x+b)*(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^{2}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \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}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a b}{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} b 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} c^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*b^2/((m^2 + 3*m + 2)*e^2) + 2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a*c/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a*b/(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*b*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*c^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4)","B",0
1657,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^m/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{m}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^m/(c*x^2 + b*x + a), x)","F",0
1658,0,0,0,0.000000," ","integrate((2*c*x+b)*(e*x+d)^m/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} {\left(e x + d\right)}^{m}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((2*c*x + b)*(e*x + d)^m/(c*x^2 + b*x + a)^2, x)","F",0
1659,1,369,0,0.578505," ","integrate((B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{9} \, B b^{2} e^{5} x^{9} + A a^{2} d^{5} x + \frac{1}{8} \, {\left(5 \, B b^{2} d e^{4} + {\left(2 \, B a b + A b^{2}\right)} e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(10 \, B b^{2} d^{2} e^{3} + 5 \, {\left(2 \, B a b + A b^{2}\right)} d e^{4} + {\left(B a^{2} + 2 \, A a b\right)} e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(10 \, B b^{2} d^{3} e^{2} + A a^{2} e^{5} + 10 \, {\left(2 \, B a b + A b^{2}\right)} d^{2} e^{3} + 5 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{4}\right)} x^{6} + {\left(B b^{2} d^{4} e + A a^{2} d e^{4} + 2 \, {\left(2 \, B a b + A b^{2}\right)} d^{3} e^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} d^{2} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{2} d^{5} + 10 \, A a^{2} d^{2} e^{3} + 5 \, {\left(2 \, B a b + A b^{2}\right)} d^{4} e + 10 \, {\left(B a^{2} + 2 \, A a b\right)} d^{3} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, A a^{2} d^{3} e^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{5} + 5 \, {\left(B a^{2} + 2 \, A a b\right)} d^{4} e\right)} x^{3} + \frac{1}{2} \, {\left(5 \, A a^{2} d^{4} e + {\left(B a^{2} + 2 \, A a b\right)} d^{5}\right)} x^{2}"," ",0,"1/9*B*b^2*e^5*x^9 + A*a^2*d^5*x + 1/8*(5*B*b^2*d*e^4 + (2*B*a*b + A*b^2)*e^5)*x^8 + 1/7*(10*B*b^2*d^2*e^3 + 5*(2*B*a*b + A*b^2)*d*e^4 + (B*a^2 + 2*A*a*b)*e^5)*x^7 + 1/6*(10*B*b^2*d^3*e^2 + A*a^2*e^5 + 10*(2*B*a*b + A*b^2)*d^2*e^3 + 5*(B*a^2 + 2*A*a*b)*d*e^4)*x^6 + (B*b^2*d^4*e + A*a^2*d*e^4 + 2*(2*B*a*b + A*b^2)*d^3*e^2 + 2*(B*a^2 + 2*A*a*b)*d^2*e^3)*x^5 + 1/4*(B*b^2*d^5 + 10*A*a^2*d^2*e^3 + 5*(2*B*a*b + A*b^2)*d^4*e + 10*(B*a^2 + 2*A*a*b)*d^3*e^2)*x^4 + 1/3*(10*A*a^2*d^3*e^2 + (2*B*a*b + A*b^2)*d^5 + 5*(B*a^2 + 2*A*a*b)*d^4*e)*x^3 + 1/2*(5*A*a^2*d^4*e + (B*a^2 + 2*A*a*b)*d^5)*x^2","B",0
1660,1,304,0,0.496808," ","integrate((B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{8} \, B b^{2} e^{4} x^{8} + A a^{2} d^{4} x + \frac{1}{7} \, {\left(4 \, B b^{2} d e^{3} + {\left(2 \, B a b + A b^{2}\right)} e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(6 \, B b^{2} d^{2} e^{2} + 4 \, {\left(2 \, B a b + A b^{2}\right)} d e^{3} + {\left(B a^{2} + 2 \, A a b\right)} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(4 \, B b^{2} d^{3} e + A a^{2} e^{4} + 6 \, {\left(2 \, B a b + A b^{2}\right)} d^{2} e^{2} + 4 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{2} d^{4} + 4 \, A a^{2} d e^{3} + 4 \, {\left(2 \, B a b + A b^{2}\right)} d^{3} e + 6 \, {\left(B a^{2} + 2 \, A a b\right)} d^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, A a^{2} d^{2} e^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{4} + 4 \, {\left(B a^{2} + 2 \, A a b\right)} d^{3} e\right)} x^{3} + \frac{1}{2} \, {\left(4 \, A a^{2} d^{3} e + {\left(B a^{2} + 2 \, A a b\right)} d^{4}\right)} x^{2}"," ",0,"1/8*B*b^2*e^4*x^8 + A*a^2*d^4*x + 1/7*(4*B*b^2*d*e^3 + (2*B*a*b + A*b^2)*e^4)*x^7 + 1/6*(6*B*b^2*d^2*e^2 + 4*(2*B*a*b + A*b^2)*d*e^3 + (B*a^2 + 2*A*a*b)*e^4)*x^6 + 1/5*(4*B*b^2*d^3*e + A*a^2*e^4 + 6*(2*B*a*b + A*b^2)*d^2*e^2 + 4*(B*a^2 + 2*A*a*b)*d*e^3)*x^5 + 1/4*(B*b^2*d^4 + 4*A*a^2*d*e^3 + 4*(2*B*a*b + A*b^2)*d^3*e + 6*(B*a^2 + 2*A*a*b)*d^2*e^2)*x^4 + 1/3*(6*A*a^2*d^2*e^2 + (2*B*a*b + A*b^2)*d^4 + 4*(B*a^2 + 2*A*a*b)*d^3*e)*x^3 + 1/2*(4*A*a^2*d^3*e + (B*a^2 + 2*A*a*b)*d^4)*x^2","B",0
1661,1,236,0,0.487473," ","integrate((B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{7} \, B b^{2} e^{3} x^{7} + A a^{2} d^{3} x + \frac{1}{6} \, {\left(3 \, B b^{2} d e^{2} + {\left(2 \, B a b + A b^{2}\right)} e^{3}\right)} x^{6} + \frac{1}{5} \, {\left(3 \, B b^{2} d^{2} e + 3 \, {\left(2 \, B a b + A b^{2}\right)} d e^{2} + {\left(B a^{2} + 2 \, A a b\right)} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{2} d^{3} + A a^{2} e^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} d^{2} e + 3 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, A a^{2} d e^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} d^{2} e\right)} x^{3} + \frac{1}{2} \, {\left(3 \, A a^{2} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} x^{2}"," ",0,"1/7*B*b^2*e^3*x^7 + A*a^2*d^3*x + 1/6*(3*B*b^2*d*e^2 + (2*B*a*b + A*b^2)*e^3)*x^6 + 1/5*(3*B*b^2*d^2*e + 3*(2*B*a*b + A*b^2)*d*e^2 + (B*a^2 + 2*A*a*b)*e^3)*x^5 + 1/4*(B*b^2*d^3 + A*a^2*e^3 + 3*(2*B*a*b + A*b^2)*d^2*e + 3*(B*a^2 + 2*A*a*b)*d*e^2)*x^4 + 1/3*(3*A*a^2*d*e^2 + (2*B*a*b + A*b^2)*d^3 + 3*(B*a^2 + 2*A*a*b)*d^2*e)*x^3 + 1/2*(3*A*a^2*d^2*e + (B*a^2 + 2*A*a*b)*d^3)*x^2","B",0
1662,1,168,0,0.587552," ","integrate((B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{6} \, B b^{2} e^{2} x^{6} + A a^{2} d^{2} x + \frac{1}{5} \, {\left(2 \, B b^{2} d e + {\left(2 \, B a b + A b^{2}\right)} e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{2} d^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(A a^{2} e^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} d e\right)} x^{3} + \frac{1}{2} \, {\left(2 \, A a^{2} d e + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} x^{2}"," ",0,"1/6*B*b^2*e^2*x^6 + A*a^2*d^2*x + 1/5*(2*B*b^2*d*e + (2*B*a*b + A*b^2)*e^2)*x^5 + 1/4*(B*b^2*d^2 + 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*x^4 + 1/3*(A*a^2*e^2 + (2*B*a*b + A*b^2)*d^2 + 2*(B*a^2 + 2*A*a*b)*d*e)*x^3 + 1/2*(2*A*a^2*d*e + (B*a^2 + 2*A*a*b)*d^2)*x^2","A",0
1663,1,100,0,0.523484," ","integrate((B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{5} \, B b^{2} e x^{5} + A a^{2} d x + \frac{1}{4} \, {\left(B b^{2} d + {\left(2 \, B a b + A b^{2}\right)} e\right)} x^{4} + \frac{1}{3} \, {\left({\left(2 \, B a b + A b^{2}\right)} d + {\left(B a^{2} + 2 \, A a b\right)} e\right)} x^{3} + \frac{1}{2} \, {\left(A a^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d\right)} x^{2}"," ",0,"1/5*B*b^2*e*x^5 + A*a^2*d*x + 1/4*(B*b^2*d + (2*B*a*b + A*b^2)*e)*x^4 + 1/3*((2*B*a*b + A*b^2)*d + (B*a^2 + 2*A*a*b)*e)*x^3 + 1/2*(A*a^2*e + (B*a^2 + 2*A*a*b)*d)*x^2","A",0
1664,1,48,0,0.558037," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{4} \, B b^{2} x^{4} + A a^{2} x + \frac{1}{3} \, {\left(2 \, B a b + A b^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{2} + 2 \, A a b\right)} x^{2}"," ",0,"1/4*B*b^2*x^4 + A*a^2*x + 1/3*(2*B*a*b + A*b^2)*x^3 + 1/2*(B*a^2 + 2*A*a*b)*x^2","A",0
1665,1,152,0,0.542462," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d),x, algorithm=""maxima"")","\frac{2 \, B b^{2} e^{2} x^{3} - 3 \, {\left(B b^{2} d e - {\left(2 \, B a b + A b^{2}\right)} e^{2}\right)} x^{2} + 6 \, {\left(B b^{2} d^{2} - {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} x}{6 \, e^{3}} - \frac{{\left(B b^{2} d^{3} - A a^{2} e^{3} - {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(2*B*b^2*e^2*x^3 - 3*(B*b^2*d*e - (2*B*a*b + A*b^2)*e^2)*x^2 + 6*(B*b^2*d^2 - (2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*x)/e^3 - (B*b^2*d^3 - A*a^2*e^3 - (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2)*log(e*x + d)/e^4","A",0
1666,1,156,0,0.456924," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B b^{2} d^{3} - A a^{2} e^{3} - {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2}}{e^{5} x + d e^{4}} + \frac{B b^{2} e x^{2} - 2 \, {\left(2 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} x}{2 \, e^{3}} + \frac{{\left(3 \, B b^{2} d^{2} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"(B*b^2*d^3 - A*a^2*e^3 - (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2)/(e^5*x + d*e^4) + 1/2*(B*b^2*e*x^2 - 2*(2*B*b^2*d - (2*B*a*b + A*b^2)*e)*x)/e^3 + (3*B*b^2*d^2 - 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*log(e*x + d)/e^4","A",0
1667,1,166,0,0.480068," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{B b^{2} x}{e^{3}} - \frac{5 \, B b^{2} d^{3} + A a^{2} e^{3} - 3 \, {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2} + 2 \, {\left(3 \, B b^{2} d^{2} e - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e^{2} + {\left(B a^{2} + 2 \, A a b\right)} e^{3}\right)} x}{2 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} - \frac{{\left(3 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"B*b^2*x/e^3 - 1/2*(5*B*b^2*d^3 + A*a^2*e^3 - 3*(2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2 + 2*(3*B*b^2*d^2*e - 2*(2*B*a*b + A*b^2)*d*e^2 + (B*a^2 + 2*A*a*b)*e^3)*x)/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) - (3*B*b^2*d - (2*B*a*b + A*b^2)*e)*log(e*x + d)/e^4","A",0
1668,1,184,0,0.527277," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{11 \, B b^{2} d^{3} - 2 \, A a^{2} e^{3} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d^{2} e - {\left(B a^{2} + 2 \, A a b\right)} d e^{2} + 6 \, {\left(3 \, B b^{2} d e^{2} - {\left(2 \, B a b + A b^{2}\right)} e^{3}\right)} x^{2} + 3 \, {\left(9 \, B b^{2} d^{2} e - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e^{2} - {\left(B a^{2} + 2 \, A a b\right)} e^{3}\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)}} + \frac{B b^{2} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(11*B*b^2*d^3 - 2*A*a^2*e^3 - 2*(2*B*a*b + A*b^2)*d^2*e - (B*a^2 + 2*A*a*b)*d*e^2 + 6*(3*B*b^2*d*e^2 - (2*B*a*b + A*b^2)*e^3)*x^2 + 3*(9*B*b^2*d^2*e - 2*(2*B*a*b + A*b^2)*d*e^2 - (B*a^2 + 2*A*a*b)*e^3)*x)/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) + B*b^2*log(e*x + d)/e^4","A",0
1669,1,187,0,0.583821," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{12 \, B b^{2} e^{3} x^{3} + 3 \, B b^{2} d^{3} + 3 \, A a^{2} e^{3} + {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2} + 6 \, {\left(3 \, B b^{2} d e^{2} + {\left(2 \, B a b + A b^{2}\right)} e^{3}\right)} x^{2} + 4 \, {\left(3 \, B b^{2} d^{2} e + {\left(2 \, B a b + A b^{2}\right)} d e^{2} + {\left(B a^{2} + 2 \, A a b\right)} e^{3}\right)} x}{12 \, {\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,"-1/12*(12*B*b^2*e^3*x^3 + 3*B*b^2*d^3 + 3*A*a^2*e^3 + (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2 + 6*(3*B*b^2*d*e^2 + (2*B*a*b + A*b^2)*e^3)*x^2 + 4*(3*B*b^2*d^2*e + (2*B*a*b + A*b^2)*d*e^2 + (B*a^2 + 2*A*a*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)","B",0
1670,1,203,0,0.613794," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{30 \, B b^{2} e^{3} x^{3} + 3 \, B b^{2} d^{3} + 12 \, A a^{2} e^{3} + 2 \, {\left(2 \, B a b + A b^{2}\right)} d^{2} e + 3 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{2} + 10 \, {\left(3 \, B b^{2} d e^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} e^{3}\right)} x^{2} + 5 \, {\left(3 \, B b^{2} d^{2} e + 2 \, {\left(2 \, B a b + A b^{2}\right)} d e^{2} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} e^{3}\right)} x}{60 \, {\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,"-1/60*(30*B*b^2*e^3*x^3 + 3*B*b^2*d^3 + 12*A*a^2*e^3 + 2*(2*B*a*b + A*b^2)*d^2*e + 3*(B*a^2 + 2*A*a*b)*d*e^2 + 10*(3*B*b^2*d*e^2 + 2*(2*B*a*b + A*b^2)*e^3)*x^2 + 5*(3*B*b^2*d^2*e + 2*(2*B*a*b + A*b^2)*d*e^2 + 3*(B*a^2 + 2*A*a*b)*e^3)*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)","A",0
1671,1,208,0,0.568946," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{20 \, B b^{2} e^{3} x^{3} + B b^{2} d^{3} + 10 \, A a^{2} e^{3} + {\left(2 \, B a b + A b^{2}\right)} d^{2} e + 2 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{2} + 15 \, {\left(B b^{2} d e^{2} + {\left(2 \, B a b + A b^{2}\right)} e^{3}\right)} x^{2} + 6 \, {\left(B b^{2} d^{2} e + {\left(2 \, B a b + A b^{2}\right)} d e^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} e^{3}\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*B*b^2*e^3*x^3 + B*b^2*d^3 + 10*A*a^2*e^3 + (2*B*a*b + A*b^2)*d^2*e + 2*(B*a^2 + 2*A*a*b)*d*e^2 + 15*(B*b^2*d*e^2 + (2*B*a*b + A*b^2)*e^3)*x^2 + 6*(B*b^2*d^2*e + (2*B*a*b + A*b^2)*d*e^2 + 2*(B*a^2 + 2*A*a*b)*e^3)*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
1672,1,225,0,0.603188," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{105 \, B b^{2} e^{3} x^{3} + 3 \, B b^{2} d^{3} + 60 \, A a^{2} e^{3} + 4 \, {\left(2 \, B a b + A b^{2}\right)} d^{2} e + 10 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{2} + 21 \, {\left(3 \, B b^{2} d e^{2} + 4 \, {\left(2 \, B a b + A b^{2}\right)} e^{3}\right)} x^{2} + 7 \, {\left(3 \, B b^{2} d^{2} e + 4 \, {\left(2 \, B a b + A b^{2}\right)} d e^{2} + 10 \, {\left(B a^{2} + 2 \, A a b\right)} e^{3}\right)} x}{420 \, {\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,"-1/420*(105*B*b^2*e^3*x^3 + 3*B*b^2*d^3 + 60*A*a^2*e^3 + 4*(2*B*a*b + A*b^2)*d^2*e + 10*(B*a^2 + 2*A*a*b)*d*e^2 + 21*(3*B*b^2*d*e^2 + 4*(2*B*a*b + A*b^2)*e^3)*x^2 + 7*(3*B*b^2*d^2*e + 4*(2*B*a*b + A*b^2)*d*e^2 + 10*(B*a^2 + 2*A*a*b)*e^3)*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)","B",0
1673,1,929,0,0.647073," ","integrate((B*x+A)*(e*x+d)^7*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{13} \, B b^{4} e^{7} x^{13} + A a^{4} d^{7} x + \frac{1}{12} \, {\left(7 \, B b^{4} d e^{6} + {\left(4 \, B a b^{3} + A b^{4}\right)} e^{7}\right)} x^{12} + \frac{1}{11} \, {\left(21 \, B b^{4} d^{2} e^{5} + 7 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{6} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{7}\right)} x^{11} + \frac{1}{10} \, {\left(35 \, B b^{4} d^{3} e^{4} + 21 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{5} + 14 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{6} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{7}\right)} x^{10} + \frac{1}{9} \, {\left(35 \, B b^{4} d^{4} e^{3} + 35 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{4} + 42 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{5} + 14 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{6} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{7}\right)} x^{9} + \frac{1}{8} \, {\left(21 \, B b^{4} d^{5} e^{2} + A a^{4} e^{7} + 35 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e^{3} + 70 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{4} + 42 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{5} + 7 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{6}\right)} x^{8} + {\left(B b^{4} d^{6} e + A a^{4} d e^{6} + 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{5} e^{2} + 10 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{4} e^{3} + 10 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{3} e^{4} + 3 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{2} e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{4} d^{7} + 21 \, A a^{4} d^{2} e^{5} + 7 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{6} e + 42 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{5} e^{2} + 70 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{4} e^{3} + 35 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{3} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(35 \, A a^{4} d^{3} e^{4} + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{7} + 14 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{6} e + 42 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{5} e^{2} + 35 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{4} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(35 \, A a^{4} d^{4} e^{3} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{7} + 14 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{6} e + 21 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{5} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(21 \, A a^{4} d^{5} e^{2} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{7} + 7 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{6} e\right)} x^{3} + \frac{1}{2} \, {\left(7 \, A a^{4} d^{6} e + {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{7}\right)} x^{2}"," ",0,"1/13*B*b^4*e^7*x^13 + A*a^4*d^7*x + 1/12*(7*B*b^4*d*e^6 + (4*B*a*b^3 + A*b^4)*e^7)*x^12 + 1/11*(21*B*b^4*d^2*e^5 + 7*(4*B*a*b^3 + A*b^4)*d*e^6 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*e^7)*x^11 + 1/10*(35*B*b^4*d^3*e^4 + 21*(4*B*a*b^3 + A*b^4)*d^2*e^5 + 14*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^6 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*e^7)*x^10 + 1/9*(35*B*b^4*d^4*e^3 + 35*(4*B*a*b^3 + A*b^4)*d^3*e^4 + 42*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^5 + 14*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^6 + (B*a^4 + 4*A*a^3*b)*e^7)*x^9 + 1/8*(21*B*b^4*d^5*e^2 + A*a^4*e^7 + 35*(4*B*a*b^3 + A*b^4)*d^4*e^3 + 70*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^4 + 42*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^5 + 7*(B*a^4 + 4*A*a^3*b)*d*e^6)*x^8 + (B*b^4*d^6*e + A*a^4*d*e^6 + 3*(4*B*a*b^3 + A*b^4)*d^5*e^2 + 10*(3*B*a^2*b^2 + 2*A*a*b^3)*d^4*e^3 + 10*(2*B*a^3*b + 3*A*a^2*b^2)*d^3*e^4 + 3*(B*a^4 + 4*A*a^3*b)*d^2*e^5)*x^7 + 1/6*(B*b^4*d^7 + 21*A*a^4*d^2*e^5 + 7*(4*B*a*b^3 + A*b^4)*d^6*e + 42*(3*B*a^2*b^2 + 2*A*a*b^3)*d^5*e^2 + 70*(2*B*a^3*b + 3*A*a^2*b^2)*d^4*e^3 + 35*(B*a^4 + 4*A*a^3*b)*d^3*e^4)*x^6 + 1/5*(35*A*a^4*d^3*e^4 + (4*B*a*b^3 + A*b^4)*d^7 + 14*(3*B*a^2*b^2 + 2*A*a*b^3)*d^6*e + 42*(2*B*a^3*b + 3*A*a^2*b^2)*d^5*e^2 + 35*(B*a^4 + 4*A*a^3*b)*d^4*e^3)*x^5 + 1/4*(35*A*a^4*d^4*e^3 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^7 + 14*(2*B*a^3*b + 3*A*a^2*b^2)*d^6*e + 21*(B*a^4 + 4*A*a^3*b)*d^5*e^2)*x^4 + 1/3*(21*A*a^4*d^5*e^2 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^7 + 7*(B*a^4 + 4*A*a^3*b)*d^6*e)*x^3 + 1/2*(7*A*a^4*d^6*e + (B*a^4 + 4*A*a^3*b)*d^7)*x^2","B",0
1674,1,810,0,0.783639," ","integrate((B*x+A)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{12} \, B b^{4} e^{6} x^{12} + A a^{4} d^{6} x + \frac{1}{11} \, {\left(6 \, B b^{4} d e^{5} + {\left(4 \, B a b^{3} + A b^{4}\right)} e^{6}\right)} x^{11} + \frac{1}{10} \, {\left(15 \, B b^{4} d^{2} e^{4} + 6 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{5} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{6}\right)} x^{10} + \frac{1}{9} \, {\left(20 \, B b^{4} d^{3} e^{3} + 15 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{4} + 12 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{5} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{6}\right)} x^{9} + \frac{1}{8} \, {\left(15 \, B b^{4} d^{4} e^{2} + 20 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{3} + 30 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{4} + 12 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{5} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{6}\right)} x^{8} + \frac{1}{7} \, {\left(6 \, B b^{4} d^{5} e + A a^{4} e^{6} + 15 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e^{2} + 40 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{3} + 30 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{4} + 6 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{4} d^{6} + 6 \, A a^{4} d e^{5} + 6 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{5} e + 30 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{4} e^{2} + 40 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{3} e^{3} + 15 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{2} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(15 \, A a^{4} d^{2} e^{4} + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{6} + 12 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{5} e + 30 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{4} e^{2} + 20 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{3} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(20 \, A a^{4} d^{3} e^{3} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{6} + 12 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{5} e + 15 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{4} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(15 \, A a^{4} d^{4} e^{2} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{6} + 6 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{5} e\right)} x^{3} + \frac{1}{2} \, {\left(6 \, A a^{4} d^{5} e + {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{6}\right)} x^{2}"," ",0,"1/12*B*b^4*e^6*x^12 + A*a^4*d^6*x + 1/11*(6*B*b^4*d*e^5 + (4*B*a*b^3 + A*b^4)*e^6)*x^11 + 1/10*(15*B*b^4*d^2*e^4 + 6*(4*B*a*b^3 + A*b^4)*d*e^5 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*e^6)*x^10 + 1/9*(20*B*b^4*d^3*e^3 + 15*(4*B*a*b^3 + A*b^4)*d^2*e^4 + 12*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^5 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*e^6)*x^9 + 1/8*(15*B*b^4*d^4*e^2 + 20*(4*B*a*b^3 + A*b^4)*d^3*e^3 + 30*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^4 + 12*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^5 + (B*a^4 + 4*A*a^3*b)*e^6)*x^8 + 1/7*(6*B*b^4*d^5*e + A*a^4*e^6 + 15*(4*B*a*b^3 + A*b^4)*d^4*e^2 + 40*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^3 + 30*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^4 + 6*(B*a^4 + 4*A*a^3*b)*d*e^5)*x^7 + 1/6*(B*b^4*d^6 + 6*A*a^4*d*e^5 + 6*(4*B*a*b^3 + A*b^4)*d^5*e + 30*(3*B*a^2*b^2 + 2*A*a*b^3)*d^4*e^2 + 40*(2*B*a^3*b + 3*A*a^2*b^2)*d^3*e^3 + 15*(B*a^4 + 4*A*a^3*b)*d^2*e^4)*x^6 + 1/5*(15*A*a^4*d^2*e^4 + (4*B*a*b^3 + A*b^4)*d^6 + 12*(3*B*a^2*b^2 + 2*A*a*b^3)*d^5*e + 30*(2*B*a^3*b + 3*A*a^2*b^2)*d^4*e^2 + 20*(B*a^4 + 4*A*a^3*b)*d^3*e^3)*x^5 + 1/4*(20*A*a^4*d^3*e^3 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^6 + 12*(2*B*a^3*b + 3*A*a^2*b^2)*d^5*e + 15*(B*a^4 + 4*A*a^3*b)*d^4*e^2)*x^4 + 1/3*(15*A*a^4*d^4*e^2 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^6 + 6*(B*a^4 + 4*A*a^3*b)*d^5*e)*x^3 + 1/2*(6*A*a^4*d^5*e + (B*a^4 + 4*A*a^3*b)*d^6)*x^2","B",0
1675,1,686,0,0.663477," ","integrate((B*x+A)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{11} \, B b^{4} e^{5} x^{11} + A a^{4} d^{5} x + \frac{1}{10} \, {\left(5 \, B b^{4} d e^{4} + {\left(4 \, B a b^{3} + A b^{4}\right)} e^{5}\right)} x^{10} + \frac{1}{9} \, {\left(10 \, B b^{4} d^{2} e^{3} + 5 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{4} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{5}\right)} x^{9} + \frac{1}{4} \, {\left(5 \, B b^{4} d^{3} e^{2} + 5 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} + {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(5 \, B b^{4} d^{4} e + 10 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + 20 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} + 10 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{4} d^{5} + A a^{4} e^{5} + 5 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 20 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} + 20 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + 5 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(5 \, A a^{4} d e^{4} + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{5} + 10 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{4} e + 20 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{3} e^{2} + 10 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{2} e^{3}\right)} x^{5} + \frac{1}{2} \, {\left(5 \, A a^{4} d^{2} e^{3} + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{5} + 5 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{4} e + 5 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{3} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, A a^{4} d^{3} e^{2} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{5} + 5 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{4} e\right)} x^{3} + \frac{1}{2} \, {\left(5 \, A a^{4} d^{4} e + {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{5}\right)} x^{2}"," ",0,"1/11*B*b^4*e^5*x^11 + A*a^4*d^5*x + 1/10*(5*B*b^4*d*e^4 + (4*B*a*b^3 + A*b^4)*e^5)*x^10 + 1/9*(10*B*b^4*d^2*e^3 + 5*(4*B*a*b^3 + A*b^4)*d*e^4 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*e^5)*x^9 + 1/4*(5*B*b^4*d^3*e^2 + 5*(4*B*a*b^3 + A*b^4)*d^2*e^3 + 5*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 + (2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^8 + 1/7*(5*B*b^4*d^4*e + 10*(4*B*a*b^3 + A*b^4)*d^3*e^2 + 20*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 + 10*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 + (B*a^4 + 4*A*a^3*b)*e^5)*x^7 + 1/6*(B*b^4*d^5 + A*a^4*e^5 + 5*(4*B*a*b^3 + A*b^4)*d^4*e + 20*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 + 20*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + 5*(B*a^4 + 4*A*a^3*b)*d*e^4)*x^6 + 1/5*(5*A*a^4*d*e^4 + (4*B*a*b^3 + A*b^4)*d^5 + 10*(3*B*a^2*b^2 + 2*A*a*b^3)*d^4*e + 20*(2*B*a^3*b + 3*A*a^2*b^2)*d^3*e^2 + 10*(B*a^4 + 4*A*a^3*b)*d^2*e^3)*x^5 + 1/2*(5*A*a^4*d^2*e^3 + (3*B*a^2*b^2 + 2*A*a*b^3)*d^5 + 5*(2*B*a^3*b + 3*A*a^2*b^2)*d^4*e + 5*(B*a^4 + 4*A*a^3*b)*d^3*e^2)*x^4 + 1/3*(10*A*a^4*d^3*e^2 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^5 + 5*(B*a^4 + 4*A*a^3*b)*d^4*e)*x^3 + 1/2*(5*A*a^4*d^4*e + (B*a^4 + 4*A*a^3*b)*d^5)*x^2","B",0
1676,1,562,0,0.561374," ","integrate((B*x+A)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{10} \, B b^{4} e^{4} x^{10} + A a^{4} d^{4} x + \frac{1}{9} \, {\left(4 \, B b^{4} d e^{3} + {\left(4 \, B a b^{3} + A b^{4}\right)} e^{4}\right)} x^{9} + \frac{1}{4} \, {\left(3 \, B b^{4} d^{2} e^{2} + 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{3} + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{4}\right)} x^{8} + \frac{2}{7} \, {\left(2 \, B b^{4} d^{3} e + 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{2} + 4 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{3} + {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{4} d^{4} + 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 12 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} + 8 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(A a^{4} e^{4} + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} + 8 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e + 12 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{2} + 4 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{3}\right)} x^{5} + \frac{1}{2} \, {\left(2 \, A a^{4} d e^{3} + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{4} + 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{3} e + 3 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{2} e^{2}\right)} x^{4} + \frac{2}{3} \, {\left(3 \, A a^{4} d^{2} e^{2} + {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{4} + 2 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{3} e\right)} x^{3} + \frac{1}{2} \, {\left(4 \, A a^{4} d^{3} e + {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{4}\right)} x^{2}"," ",0,"1/10*B*b^4*e^4*x^10 + A*a^4*d^4*x + 1/9*(4*B*b^4*d*e^3 + (4*B*a*b^3 + A*b^4)*e^4)*x^9 + 1/4*(3*B*b^4*d^2*e^2 + 2*(4*B*a*b^3 + A*b^4)*d*e^3 + (3*B*a^2*b^2 + 2*A*a*b^3)*e^4)*x^8 + 2/7*(2*B*b^4*d^3*e + 3*(4*B*a*b^3 + A*b^4)*d^2*e^2 + 4*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^3 + (2*B*a^3*b + 3*A*a^2*b^2)*e^4)*x^7 + 1/6*(B*b^4*d^4 + 4*(4*B*a*b^3 + A*b^4)*d^3*e + 12*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 + 8*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*x^6 + 1/5*(A*a^4*e^4 + (4*B*a*b^3 + A*b^4)*d^4 + 8*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e + 12*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^2 + 4*(B*a^4 + 4*A*a^3*b)*d*e^3)*x^5 + 1/2*(2*A*a^4*d*e^3 + (3*B*a^2*b^2 + 2*A*a*b^3)*d^4 + 4*(2*B*a^3*b + 3*A*a^2*b^2)*d^3*e + 3*(B*a^4 + 4*A*a^3*b)*d^2*e^2)*x^4 + 2/3*(3*A*a^4*d^2*e^2 + (2*B*a^3*b + 3*A*a^2*b^2)*d^4 + 2*(B*a^4 + 4*A*a^3*b)*d^3*e)*x^3 + 1/2*(4*A*a^4*d^3*e + (B*a^4 + 4*A*a^3*b)*d^4)*x^2","B",0
1677,1,444,0,0.504207," ","integrate((B*x+A)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{9} \, B b^{4} e^{3} x^{9} + A a^{4} d^{3} x + \frac{1}{8} \, {\left(3 \, B b^{4} d e^{2} + {\left(4 \, B a b^{3} + A b^{4}\right)} e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(3 \, B b^{4} d^{2} e + 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{2} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{3}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{4} d^{3} + 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} x^{6} + \frac{1}{5} \, {\left({\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e + 6 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{2} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(A a^{4} e^{3} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} + 6 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e + 3 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, A a^{4} d e^{2} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{3} + 3 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{2} e\right)} x^{3} + \frac{1}{2} \, {\left(3 \, A a^{4} d^{2} e + {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{3}\right)} x^{2}"," ",0,"1/9*B*b^4*e^3*x^9 + A*a^4*d^3*x + 1/8*(3*B*b^4*d*e^2 + (4*B*a*b^3 + A*b^4)*e^3)*x^8 + 1/7*(3*B*b^4*d^2*e + 3*(4*B*a*b^3 + A*b^4)*d*e^2 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*e^3)*x^7 + 1/6*(B*b^4*d^3 + 3*(4*B*a*b^3 + A*b^4)*d^2*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*e^3)*x^6 + 1/5*((4*B*a*b^3 + A*b^4)*d^3 + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e + 6*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^2 + (B*a^4 + 4*A*a^3*b)*e^3)*x^5 + 1/4*(A*a^4*e^3 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3 + 6*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e + 3*(B*a^4 + 4*A*a^3*b)*d*e^2)*x^4 + 1/3*(3*A*a^4*d*e^2 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^3 + 3*(B*a^4 + 4*A*a^3*b)*d^2*e)*x^3 + 1/2*(3*A*a^4*d^2*e + (B*a^4 + 4*A*a^3*b)*d^3)*x^2","B",0
1678,1,322,0,0.523393," ","integrate((B*x+A)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{8} \, B b^{4} e^{2} x^{8} + A a^{4} d^{2} x + \frac{1}{7} \, {\left(2 \, B b^{4} d e + {\left(4 \, B a b^{3} + A b^{4}\right)} e^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B b^{4} d^{2} + 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} x^{6} + \frac{1}{5} \, {\left({\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} + 4 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} + 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(A a^{4} e^{2} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} + 2 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e\right)} x^{3} + \frac{1}{2} \, {\left(2 \, A a^{4} d e + {\left(B a^{4} + 4 \, A a^{3} b\right)} d^{2}\right)} x^{2}"," ",0,"1/8*B*b^4*e^2*x^8 + A*a^4*d^2*x + 1/7*(2*B*b^4*d*e + (4*B*a*b^3 + A*b^4)*e^2)*x^7 + 1/6*(B*b^4*d^2 + 2*(4*B*a*b^3 + A*b^4)*d*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*x^6 + 1/5*((4*B*a*b^3 + A*b^4)*d^2 + 4*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e + 2*(2*B*a^3*b + 3*A*a^2*b^2)*e^2)*x^5 + 1/4*(2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2 + 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e + (B*a^4 + 4*A*a^3*b)*e^2)*x^4 + 1/3*(A*a^4*e^2 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2 + 2*(B*a^4 + 4*A*a^3*b)*d*e)*x^3 + 1/2*(2*A*a^4*d*e + (B*a^4 + 4*A*a^3*b)*d^2)*x^2","B",0
1679,1,198,0,0.515376," ","integrate((B*x+A)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{7} \, B b^{4} e x^{7} + A a^{4} d x + \frac{1}{6} \, {\left(B b^{4} d + {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} x^{6} + \frac{1}{5} \, {\left({\left(4 \, B a b^{3} + A b^{4}\right)} d + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e\right)} x^{5} + \frac{1}{2} \, {\left({\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d + {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e\right)} x^{4} + \frac{1}{3} \, {\left(2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d + {\left(B a^{4} + 4 \, A a^{3} b\right)} e\right)} x^{3} + \frac{1}{2} \, {\left(A a^{4} e + {\left(B a^{4} + 4 \, A a^{3} b\right)} d\right)} x^{2}"," ",0,"1/7*B*b^4*e*x^7 + A*a^4*d*x + 1/6*(B*b^4*d + (4*B*a*b^3 + A*b^4)*e)*x^6 + 1/5*((4*B*a*b^3 + A*b^4)*d + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*e)*x^5 + 1/2*((3*B*a^2*b^2 + 2*A*a*b^3)*d + (2*B*a^3*b + 3*A*a^2*b^2)*e)*x^4 + 1/3*(2*(2*B*a^3*b + 3*A*a^2*b^2)*d + (B*a^4 + 4*A*a^3*b)*e)*x^3 + 1/2*(A*a^4*e + (B*a^4 + 4*A*a^3*b)*d)*x^2","B",0
1680,1,96,0,0.618117," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{6} \, B b^{4} x^{6} + A a^{4} x + \frac{1}{5} \, {\left(4 \, B a b^{3} + A b^{4}\right)} x^{5} + \frac{1}{2} \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{4} + \frac{2}{3} \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{3} + \frac{1}{2} \, {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{2}"," ",0,"1/6*B*b^4*x^6 + A*a^4*x + 1/5*(4*B*a*b^3 + A*b^4)*x^5 + 1/2*(3*B*a^2*b^2 + 2*A*a*b^3)*x^4 + 2/3*(2*B*a^3*b + 3*A*a^2*b^2)*x^3 + 1/2*(B*a^4 + 4*A*a^3*b)*x^2","B",0
1681,1,403,0,0.722436," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d),x, algorithm=""maxima"")","\frac{12 \, B b^{4} e^{4} x^{5} - 15 \, {\left(B b^{4} d e^{3} - {\left(4 \, B a b^{3} + A b^{4}\right)} e^{4}\right)} x^{4} + 20 \, {\left(B b^{4} d^{2} e^{2} - {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{3} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{4}\right)} x^{3} - 30 \, {\left(B b^{4} d^{3} e - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{2} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{3} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{4}\right)} x^{2} + 60 \, {\left(B b^{4} d^{4} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} x}{60 \, e^{5}} - \frac{{\left(B b^{4} d^{5} - A a^{4} e^{5} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/60*(12*B*b^4*e^4*x^5 - 15*(B*b^4*d*e^3 - (4*B*a*b^3 + A*b^4)*e^4)*x^4 + 20*(B*b^4*d^2*e^2 - (4*B*a*b^3 + A*b^4)*d*e^3 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*e^4)*x^3 - 30*(B*b^4*d^3*e - (4*B*a*b^3 + A*b^4)*d^2*e^2 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^3 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*e^4)*x^2 + 60*(B*b^4*d^4 - (4*B*a*b^3 + A*b^4)*d^3*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*x)/e^5 - (B*b^4*d^5 - A*a^4*e^5 - (4*B*a*b^3 + A*b^4)*d^4*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4)*log(e*x + d)/e^6","B",0
1682,1,410,0,0.511533," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B b^{4} d^{5} - A a^{4} e^{5} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4}}{e^{7} x + d e^{6}} + \frac{3 \, B b^{4} e^{3} x^{4} - 4 \, {\left(2 \, B b^{4} d e^{2} - {\left(4 \, B a b^{3} + A b^{4}\right)} e^{3}\right)} x^{3} + 6 \, {\left(3 \, B b^{4} d^{2} e - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{2} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{3}\right)} x^{2} - 12 \, {\left(4 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 4 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} x}{12 \, e^{5}} + \frac{{\left(5 \, B b^{4} d^{4} - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"(B*b^4*d^5 - A*a^4*e^5 - (4*B*a*b^3 + A*b^4)*d^4*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4)/(e^7*x + d*e^6) + 1/12*(3*B*b^4*e^3*x^4 - 4*(2*B*b^4*d*e^2 - (4*B*a*b^3 + A*b^4)*e^3)*x^3 + 6*(3*B*b^4*d^2*e - 2*(4*B*a*b^3 + A*b^4)*d*e^2 + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*e^3)*x^2 - 12*(4*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 4*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*e^3)*x)/e^5 + (5*B*b^4*d^4 - 4*(4*B*a*b^3 + A*b^4)*d^3*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*log(e*x + d)/e^6","B",0
1683,1,419,0,0.685395," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{9 \, B b^{4} d^{5} + A a^{4} e^{5} - 7 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 10 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 6 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 2 \, {\left(5 \, B b^{4} d^{4} e - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{2 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)}} + \frac{2 \, B b^{4} e^{2} x^{3} - 3 \, {\left(3 \, B b^{4} d e - {\left(4 \, B a b^{3} + A b^{4}\right)} e^{2}\right)} x^{2} + 6 \, {\left(6 \, B b^{4} d^{2} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} x}{6 \, e^{5}} - \frac{2 \, {\left(5 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"-1/2*(9*B*b^4*d^5 + A*a^4*e^5 - 7*(4*B*a*b^3 + A*b^4)*d^4*e + 10*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 6*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4 + 2*(5*B*b^4*d^4*e - 4*(4*B*a*b^3 + A*b^4)*d^3*e^2 + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 + (B*a^4 + 4*A*a^3*b)*e^5)*x)/(e^8*x^2 + 2*d*e^7*x + d^2*e^6) + 1/6*(2*B*b^4*e^2*x^3 - 3*(3*B*b^4*d*e - (4*B*a*b^3 + A*b^4)*e^2)*x^2 + 6*(6*B*b^4*d^2 - 3*(4*B*a*b^3 + A*b^4)*d*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*x)/e^5 - 2*(5*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - (2*B*a^3*b + 3*A*a^2*b^2)*e^3)*log(e*x + d)/e^6","B",0
1684,1,431,0,0.638044," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{47 \, B b^{4} d^{5} - 2 \, A a^{4} e^{5} - 26 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 22 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} - {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 12 \, {\left(5 \, B b^{4} d^{3} e^{2} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{2} + 3 \, {\left(35 \, B b^{4} d^{4} e - 20 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + 18 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} - {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{6 \, {\left(e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}\right)}} + \frac{B b^{4} e x^{2} - 2 \, {\left(4 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} x}{2 \, e^{5}} + \frac{2 \, {\left(5 \, B b^{4} d^{2} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/6*(47*B*b^4*d^5 - 2*A*a^4*e^5 - 26*(4*B*a*b^3 + A*b^4)*d^4*e + 22*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 - (B*a^4 + 4*A*a^3*b)*d*e^4 + 12*(5*B*b^4*d^3*e^2 - 3*(4*B*a*b^3 + A*b^4)*d^2*e^3 + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 - (2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^2 + 3*(35*B*b^4*d^4*e - 20*(4*B*a*b^3 + A*b^4)*d^3*e^2 + 18*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 - (B*a^4 + 4*A*a^3*b)*e^5)*x)/(e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6) + 1/2*(B*b^4*e*x^2 - 2*(4*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*x)/e^5 + 2*(5*B*b^4*d^2 - 2*(4*B*a*b^3 + A*b^4)*d*e + (3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*log(e*x + d)/e^6","B",0
1685,1,440,0,0.619901," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^5,x, algorithm=""maxima"")","\frac{B b^{4} x}{e^{5}} - \frac{77 \, B b^{4} d^{5} + 3 \, A a^{4} e^{5} - 25 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 24 \, {\left(5 \, B b^{4} d^{2} e^{3} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{4} + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{5}\right)} x^{3} + 12 \, {\left(25 \, B b^{4} d^{3} e^{2} - 9 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} + {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{2} + 4 \, {\left(65 \, B b^{4} d^{4} e - 22 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{12 \, {\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)}} - \frac{{\left(5 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"B*b^4*x/e^5 - 1/12*(77*B*b^4*d^5 + 3*A*a^4*e^5 - 25*(4*B*a*b^3 + A*b^4)*d^4*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4 + 24*(5*B*b^4*d^2*e^3 - 2*(4*B*a*b^3 + A*b^4)*d*e^4 + (3*B*a^2*b^2 + 2*A*a*b^3)*e^5)*x^3 + 12*(25*B*b^4*d^3*e^2 - 9*(4*B*a*b^3 + A*b^4)*d^2*e^3 + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 + (2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^2 + 4*(65*B*b^4*d^4*e - 22*(4*B*a*b^3 + A*b^4)*d^3*e^2 + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 + 2*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 + (B*a^4 + 4*A*a^3*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) - (5*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*log(e*x + d)/e^6","B",0
1686,1,459,0,0.613660," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^6,x, algorithm=""maxima"")","\frac{137 \, B b^{4} d^{5} - 12 \, A a^{4} e^{5} - 12 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e - 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} - 3 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 60 \, {\left(5 \, B b^{4} d e^{4} - {\left(4 \, B a b^{3} + A b^{4}\right)} e^{5}\right)} x^{4} + 60 \, {\left(15 \, B b^{4} d^{2} e^{3} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{4} - {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{5}\right)} x^{3} + 20 \, {\left(55 \, B b^{4} d^{3} e^{2} - 6 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} - 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{2} + 5 \, {\left(125 \, B b^{4} d^{4} e - 12 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} - 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} - 3 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{60 \, {\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)}} + \frac{B b^{4} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/60*(137*B*b^4*d^5 - 12*A*a^4*e^5 - 12*(4*B*a*b^3 + A*b^4)*d^4*e - 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 - 3*(B*a^4 + 4*A*a^3*b)*d*e^4 + 60*(5*B*b^4*d*e^4 - (4*B*a*b^3 + A*b^4)*e^5)*x^4 + 60*(15*B*b^4*d^2*e^3 - 2*(4*B*a*b^3 + A*b^4)*d*e^4 - (3*B*a^2*b^2 + 2*A*a*b^3)*e^5)*x^3 + 20*(55*B*b^4*d^3*e^2 - 6*(4*B*a*b^3 + A*b^4)*d^2*e^3 - 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^2 + 5*(125*B*b^4*d^4*e - 12*(4*B*a*b^3 + A*b^4)*d^3*e^2 - 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 - 3*(B*a^4 + 4*A*a^3*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) + B*b^4*log(e*x + d)/e^6","B",0
1687,1,453,0,0.795779," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{30 \, B b^{4} e^{5} x^{5} + 5 \, B b^{4} d^{5} + 5 \, A a^{4} e^{5} + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} + {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 15 \, {\left(5 \, B b^{4} d e^{4} + {\left(4 \, B a b^{3} + A b^{4}\right)} e^{5}\right)} x^{4} + 20 \, {\left(5 \, B b^{4} d^{2} e^{3} + {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{4} + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{5}\right)} x^{3} + 15 \, {\left(5 \, B b^{4} d^{3} e^{2} + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} + {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{2} + 6 \, {\left(5 \, B b^{4} d^{4} e + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} + {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{30 \, {\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)}}"," ",0,"-1/30*(30*B*b^4*e^5*x^5 + 5*B*b^4*d^5 + 5*A*a^4*e^5 + (4*B*a*b^3 + A*b^4)*d^4*e + (3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 + (2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4 + 15*(5*B*b^4*d*e^4 + (4*B*a*b^3 + A*b^4)*e^5)*x^4 + 20*(5*B*b^4*d^2*e^3 + (4*B*a*b^3 + A*b^4)*d*e^4 + (3*B*a^2*b^2 + 2*A*a*b^3)*e^5)*x^3 + 15*(5*B*b^4*d^3*e^2 + (4*B*a*b^3 + A*b^4)*d^2*e^3 + (3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 + (2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^2 + 6*(5*B*b^4*d^4*e + (4*B*a*b^3 + A*b^4)*d^3*e^2 + (3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 + (2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 + (B*a^4 + 4*A*a^3*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)","B",0
1688,1,478,0,0.740860," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{105 \, B b^{4} e^{5} x^{5} + 5 \, B b^{4} d^{5} + 30 \, A a^{4} e^{5} + 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} + 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + 5 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 35 \, {\left(5 \, B b^{4} d e^{4} + 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} e^{5}\right)} x^{4} + 35 \, {\left(5 \, B b^{4} d^{2} e^{3} + 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{4} + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{5}\right)} x^{3} + 21 \, {\left(5 \, B b^{4} d^{3} e^{2} + 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} + 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{2} + 7 \, {\left(5 \, B b^{4} d^{4} e + 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} + 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} + 5 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{210 \, {\left(e^{13} x^{7} + 7 \, d e^{12} x^{6} + 21 \, d^{2} e^{11} x^{5} + 35 \, d^{3} e^{10} x^{4} + 35 \, d^{4} e^{9} x^{3} + 21 \, d^{5} e^{8} x^{2} + 7 \, d^{6} e^{7} x + d^{7} e^{6}\right)}}"," ",0,"-1/210*(105*B*b^4*e^5*x^5 + 5*B*b^4*d^5 + 30*A*a^4*e^5 + 2*(4*B*a*b^3 + A*b^4)*d^4*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 + 4*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + 5*(B*a^4 + 4*A*a^3*b)*d*e^4 + 35*(5*B*b^4*d*e^4 + 2*(4*B*a*b^3 + A*b^4)*e^5)*x^4 + 35*(5*B*b^4*d^2*e^3 + 2*(4*B*a*b^3 + A*b^4)*d*e^4 + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*e^5)*x^3 + 21*(5*B*b^4*d^3*e^2 + 2*(4*B*a*b^3 + A*b^4)*d^2*e^3 + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 + 4*(2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^2 + 7*(5*B*b^4*d^4*e + 2*(4*B*a*b^3 + A*b^4)*d^3*e^2 + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 + 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 + 5*(B*a^4 + 4*A*a^3*b)*e^5)*x)/(e^13*x^7 + 7*d*e^12*x^6 + 21*d^2*e^11*x^5 + 35*d^3*e^10*x^4 + 35*d^4*e^9*x^3 + 21*d^5*e^8*x^2 + 7*d^6*e^7*x + d^7*e^6)","B",0
1689,1,489,0,0.769809," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{280 \, B b^{4} e^{5} x^{5} + 5 \, B b^{4} d^{5} + 105 \, A a^{4} e^{5} + 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} + 10 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + 15 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 70 \, {\left(5 \, B b^{4} d e^{4} + 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} e^{5}\right)} x^{4} + 56 \, {\left(5 \, B b^{4} d^{2} e^{3} + 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{4} + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{5}\right)} x^{3} + 28 \, {\left(5 \, B b^{4} d^{3} e^{2} + 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} + 10 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{2} + 8 \, {\left(5 \, B b^{4} d^{4} e + 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} + 10 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} + 15 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{840 \, {\left(e^{14} x^{8} + 8 \, d e^{13} x^{7} + 28 \, d^{2} e^{12} x^{6} + 56 \, d^{3} e^{11} x^{5} + 70 \, d^{4} e^{10} x^{4} + 56 \, d^{5} e^{9} x^{3} + 28 \, d^{6} e^{8} x^{2} + 8 \, d^{7} e^{7} x + d^{8} e^{6}\right)}}"," ",0,"-1/840*(280*B*b^4*e^5*x^5 + 5*B*b^4*d^5 + 105*A*a^4*e^5 + 3*(4*B*a*b^3 + A*b^4)*d^4*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 + 10*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + 15*(B*a^4 + 4*A*a^3*b)*d*e^4 + 70*(5*B*b^4*d*e^4 + 3*(4*B*a*b^3 + A*b^4)*e^5)*x^4 + 56*(5*B*b^4*d^2*e^3 + 3*(4*B*a*b^3 + A*b^4)*d*e^4 + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*e^5)*x^3 + 28*(5*B*b^4*d^3*e^2 + 3*(4*B*a*b^3 + A*b^4)*d^2*e^3 + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 + 10*(2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^2 + 8*(5*B*b^4*d^4*e + 3*(4*B*a*b^3 + A*b^4)*d^3*e^2 + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 + 10*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 + 15*(B*a^4 + 4*A*a^3*b)*e^5)*x)/(e^14*x^8 + 8*d*e^13*x^7 + 28*d^2*e^12*x^6 + 56*d^3*e^11*x^5 + 70*d^4*e^10*x^4 + 56*d^5*e^9*x^3 + 28*d^6*e^8*x^2 + 8*d^7*e^7*x + d^8*e^6)","B",0
1690,1,500,0,0.692591," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{630 \, B b^{4} e^{5} x^{5} + 5 \, B b^{4} d^{5} + 280 \, A a^{4} e^{5} + 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 10 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} + 20 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + 35 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 126 \, {\left(5 \, B b^{4} d e^{4} + 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} e^{5}\right)} x^{4} + 84 \, {\left(5 \, B b^{4} d^{2} e^{3} + 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{4} + 10 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{5}\right)} x^{3} + 36 \, {\left(5 \, B b^{4} d^{3} e^{2} + 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} + 10 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} + 20 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{2} + 9 \, {\left(5 \, B b^{4} d^{4} e + 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + 10 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} + 20 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} + 35 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{2520 \, {\left(e^{15} x^{9} + 9 \, d e^{14} x^{8} + 36 \, d^{2} e^{13} x^{7} + 84 \, d^{3} e^{12} x^{6} + 126 \, d^{4} e^{11} x^{5} + 126 \, d^{5} e^{10} x^{4} + 84 \, d^{6} e^{9} x^{3} + 36 \, d^{7} e^{8} x^{2} + 9 \, d^{8} e^{7} x + d^{9} e^{6}\right)}}"," ",0,"-1/2520*(630*B*b^4*e^5*x^5 + 5*B*b^4*d^5 + 280*A*a^4*e^5 + 4*(4*B*a*b^3 + A*b^4)*d^4*e + 10*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 + 20*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + 35*(B*a^4 + 4*A*a^3*b)*d*e^4 + 126*(5*B*b^4*d*e^4 + 4*(4*B*a*b^3 + A*b^4)*e^5)*x^4 + 84*(5*B*b^4*d^2*e^3 + 4*(4*B*a*b^3 + A*b^4)*d*e^4 + 10*(3*B*a^2*b^2 + 2*A*a*b^3)*e^5)*x^3 + 36*(5*B*b^4*d^3*e^2 + 4*(4*B*a*b^3 + A*b^4)*d^2*e^3 + 10*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 + 20*(2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^2 + 9*(5*B*b^4*d^4*e + 4*(4*B*a*b^3 + A*b^4)*d^3*e^2 + 10*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 + 20*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 + 35*(B*a^4 + 4*A*a^3*b)*e^5)*x)/(e^15*x^9 + 9*d*e^14*x^8 + 36*d^2*e^13*x^7 + 84*d^3*e^12*x^6 + 126*d^4*e^11*x^5 + 126*d^5*e^10*x^4 + 84*d^6*e^9*x^3 + 36*d^7*e^8*x^2 + 9*d^8*e^7*x + d^9*e^6)","B",0
1691,1,501,0,0.635745," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^11,x, algorithm=""maxima"")","-\frac{252 \, B b^{4} e^{5} x^{5} + B b^{4} d^{5} + 126 \, A a^{4} e^{5} + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} + 7 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + 14 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 210 \, {\left(B b^{4} d e^{4} + {\left(4 \, B a b^{3} + A b^{4}\right)} e^{5}\right)} x^{4} + 120 \, {\left(B b^{4} d^{2} e^{3} + {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{4} + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{5}\right)} x^{3} + 45 \, {\left(B b^{4} d^{3} e^{2} + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} + 7 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{2} + 10 \, {\left(B b^{4} d^{4} e + {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} + 7 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} + 14 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{1260 \, {\left(e^{16} x^{10} + 10 \, d e^{15} x^{9} + 45 \, d^{2} e^{14} x^{8} + 120 \, d^{3} e^{13} x^{7} + 210 \, d^{4} e^{12} x^{6} + 252 \, d^{5} e^{11} x^{5} + 210 \, d^{6} e^{10} x^{4} + 120 \, d^{7} e^{9} x^{3} + 45 \, d^{8} e^{8} x^{2} + 10 \, d^{9} e^{7} x + d^{10} e^{6}\right)}}"," ",0,"-1/1260*(252*B*b^4*e^5*x^5 + B*b^4*d^5 + 126*A*a^4*e^5 + (4*B*a*b^3 + A*b^4)*d^4*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 + 7*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + 14*(B*a^4 + 4*A*a^3*b)*d*e^4 + 210*(B*b^4*d*e^4 + (4*B*a*b^3 + A*b^4)*e^5)*x^4 + 120*(B*b^4*d^2*e^3 + (4*B*a*b^3 + A*b^4)*d*e^4 + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*e^5)*x^3 + 45*(B*b^4*d^3*e^2 + (4*B*a*b^3 + A*b^4)*d^2*e^3 + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 + 7*(2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^2 + 10*(B*b^4*d^4*e + (4*B*a*b^3 + A*b^4)*d^3*e^2 + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 + 7*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 + 14*(B*a^4 + 4*A*a^3*b)*e^5)*x)/(e^16*x^10 + 10*d*e^15*x^9 + 45*d^2*e^14*x^8 + 120*d^3*e^13*x^7 + 210*d^4*e^12*x^6 + 252*d^5*e^11*x^5 + 210*d^6*e^10*x^4 + 120*d^7*e^9*x^3 + 45*d^8*e^8*x^2 + 10*d^9*e^7*x + d^10*e^6)","B",0
1692,1,522,0,0.697798," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^12,x, algorithm=""maxima"")","-\frac{2310 \, B b^{4} e^{5} x^{5} + 5 \, B b^{4} d^{5} + 1260 \, A a^{4} e^{5} + 6 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 21 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} + 56 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + 126 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 330 \, {\left(5 \, B b^{4} d e^{4} + 6 \, {\left(4 \, B a b^{3} + A b^{4}\right)} e^{5}\right)} x^{4} + 165 \, {\left(5 \, B b^{4} d^{2} e^{3} + 6 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e^{4} + 21 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{5}\right)} x^{3} + 55 \, {\left(5 \, B b^{4} d^{3} e^{2} + 6 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e^{3} + 21 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{4} + 56 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{5}\right)} x^{2} + 11 \, {\left(5 \, B b^{4} d^{4} e + 6 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e^{2} + 21 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{3} + 56 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{4} + 126 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{5}\right)} x}{13860 \, {\left(e^{17} x^{11} + 11 \, d e^{16} x^{10} + 55 \, d^{2} e^{15} x^{9} + 165 \, d^{3} e^{14} x^{8} + 330 \, d^{4} e^{13} x^{7} + 462 \, d^{5} e^{12} x^{6} + 462 \, d^{6} e^{11} x^{5} + 330 \, d^{7} e^{10} x^{4} + 165 \, d^{8} e^{9} x^{3} + 55 \, d^{9} e^{8} x^{2} + 11 \, d^{10} e^{7} x + d^{11} e^{6}\right)}}"," ",0,"-1/13860*(2310*B*b^4*e^5*x^5 + 5*B*b^4*d^5 + 1260*A*a^4*e^5 + 6*(4*B*a*b^3 + A*b^4)*d^4*e + 21*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 + 56*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + 126*(B*a^4 + 4*A*a^3*b)*d*e^4 + 330*(5*B*b^4*d*e^4 + 6*(4*B*a*b^3 + A*b^4)*e^5)*x^4 + 165*(5*B*b^4*d^2*e^3 + 6*(4*B*a*b^3 + A*b^4)*d*e^4 + 21*(3*B*a^2*b^2 + 2*A*a*b^3)*e^5)*x^3 + 55*(5*B*b^4*d^3*e^2 + 6*(4*B*a*b^3 + A*b^4)*d^2*e^3 + 21*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^4 + 56*(2*B*a^3*b + 3*A*a^2*b^2)*e^5)*x^2 + 11*(5*B*b^4*d^4*e + 6*(4*B*a*b^3 + A*b^4)*d^3*e^2 + 21*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^3 + 56*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^4 + 126*(B*a^4 + 4*A*a^3*b)*e^5)*x)/(e^17*x^11 + 11*d*e^16*x^10 + 55*d^2*e^15*x^9 + 165*d^3*e^14*x^8 + 330*d^4*e^13*x^7 + 462*d^5*e^12*x^6 + 462*d^6*e^11*x^5 + 330*d^7*e^10*x^4 + 165*d^8*e^9*x^3 + 55*d^9*e^8*x^2 + 11*d^10*e^7*x + d^11*e^6)","B",0
1693,1,411,0,0.600989," ","integrate((B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{{\left(B a b^{4} - A b^{5}\right)} d^{4} - 4 \, {\left(B a^{2} b^{3} - A a b^{4}\right)} d^{3} e + 6 \, {\left(B a^{3} b^{2} - A a^{2} b^{3}\right)} d^{2} e^{2} - 4 \, {\left(B a^{4} b - A a^{3} b^{2}\right)} d e^{3} + {\left(B a^{5} - A a^{4} b\right)} e^{4}}{b^{7} x + a b^{6}} + \frac{3 \, B b^{3} e^{4} x^{4} + 4 \, {\left(4 \, B b^{3} d e^{3} - {\left(2 \, B a b^{2} - A b^{3}\right)} e^{4}\right)} x^{3} + 6 \, {\left(6 \, B b^{3} d^{2} e^{2} - 4 \, {\left(2 \, B a b^{2} - A b^{3}\right)} d e^{3} + {\left(3 \, B a^{2} b - 2 \, A a b^{2}\right)} e^{4}\right)} x^{2} + 12 \, {\left(4 \, B b^{3} d^{3} e - 6 \, {\left(2 \, B a b^{2} - A b^{3}\right)} d^{2} e^{2} + 4 \, {\left(3 \, B a^{2} b - 2 \, A a b^{2}\right)} d e^{3} - {\left(4 \, B a^{3} - 3 \, A a^{2} b\right)} e^{4}\right)} x}{12 \, b^{5}} + \frac{{\left(B b^{4} d^{4} - 4 \, {\left(2 \, B a b^{3} - A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} - 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(4 \, B a^{3} b - 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(5 \, B a^{4} - 4 \, A a^{3} b\right)} e^{4}\right)} \log\left(b x + a\right)}{b^{6}}"," ",0,"((B*a*b^4 - A*b^5)*d^4 - 4*(B*a^2*b^3 - A*a*b^4)*d^3*e + 6*(B*a^3*b^2 - A*a^2*b^3)*d^2*e^2 - 4*(B*a^4*b - A*a^3*b^2)*d*e^3 + (B*a^5 - A*a^4*b)*e^4)/(b^7*x + a*b^6) + 1/12*(3*B*b^3*e^4*x^4 + 4*(4*B*b^3*d*e^3 - (2*B*a*b^2 - A*b^3)*e^4)*x^3 + 6*(6*B*b^3*d^2*e^2 - 4*(2*B*a*b^2 - A*b^3)*d*e^3 + (3*B*a^2*b - 2*A*a*b^2)*e^4)*x^2 + 12*(4*B*b^3*d^3*e - 6*(2*B*a*b^2 - A*b^3)*d^2*e^2 + 4*(3*B*a^2*b - 2*A*a*b^2)*d*e^3 - (4*B*a^3 - 3*A*a^2*b)*e^4)*x)/b^5 + (B*b^4*d^4 - 4*(2*B*a*b^3 - A*b^4)*d^3*e + 6*(3*B*a^2*b^2 - 2*A*a*b^3)*d^2*e^2 - 4*(4*B*a^3*b - 3*A*a^2*b^2)*d*e^3 + (5*B*a^4 - 4*A*a^3*b)*e^4)*log(b*x + a)/b^6","B",0
1694,1,273,0,0.534353," ","integrate((B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{{\left(B a b^{3} - A b^{4}\right)} d^{3} - 3 \, {\left(B a^{2} b^{2} - A a b^{3}\right)} d^{2} e + 3 \, {\left(B a^{3} b - A a^{2} b^{2}\right)} d e^{2} - {\left(B a^{4} - A a^{3} b\right)} e^{3}}{b^{6} x + a b^{5}} + \frac{2 \, B b^{2} e^{3} x^{3} + 3 \, {\left(3 \, B b^{2} d e^{2} - {\left(2 \, B a b - A b^{2}\right)} e^{3}\right)} x^{2} + 6 \, {\left(3 \, B b^{2} d^{2} e - 3 \, {\left(2 \, B a b - A b^{2}\right)} d e^{2} + {\left(3 \, B a^{2} - 2 \, A a b\right)} e^{3}\right)} x}{6 \, b^{4}} + \frac{{\left(B b^{3} d^{3} - 3 \, {\left(2 \, B a b^{2} - A b^{3}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b - 2 \, A a b^{2}\right)} d e^{2} - {\left(4 \, B a^{3} - 3 \, A a^{2} b\right)} e^{3}\right)} \log\left(b x + a\right)}{b^{5}}"," ",0,"((B*a*b^3 - A*b^4)*d^3 - 3*(B*a^2*b^2 - A*a*b^3)*d^2*e + 3*(B*a^3*b - A*a^2*b^2)*d*e^2 - (B*a^4 - A*a^3*b)*e^3)/(b^6*x + a*b^5) + 1/6*(2*B*b^2*e^3*x^3 + 3*(3*B*b^2*d*e^2 - (2*B*a*b - A*b^2)*e^3)*x^2 + 6*(3*B*b^2*d^2*e - 3*(2*B*a*b - A*b^2)*d*e^2 + (3*B*a^2 - 2*A*a*b)*e^3)*x)/b^4 + (B*b^3*d^3 - 3*(2*B*a*b^2 - A*b^3)*d^2*e + 3*(3*B*a^2*b - 2*A*a*b^2)*d*e^2 - (4*B*a^3 - 3*A*a^2*b)*e^3)*log(b*x + a)/b^5","A",0
1695,1,158,0,0.461877," ","integrate((B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{{\left(B a b^{2} - A b^{3}\right)} d^{2} - 2 \, {\left(B a^{2} b - A a b^{2}\right)} d e + {\left(B a^{3} - A a^{2} b\right)} e^{2}}{b^{5} x + a b^{4}} + \frac{B b e^{2} x^{2} + 2 \, {\left(2 \, B b d e - {\left(2 \, B a - A b\right)} e^{2}\right)} x}{2 \, b^{3}} + \frac{{\left(B b^{2} d^{2} - 2 \, {\left(2 \, B a b - A b^{2}\right)} d e + {\left(3 \, B a^{2} - 2 \, A a b\right)} e^{2}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"((B*a*b^2 - A*b^3)*d^2 - 2*(B*a^2*b - A*a*b^2)*d*e + (B*a^3 - A*a^2*b)*e^2)/(b^5*x + a*b^4) + 1/2*(B*b*e^2*x^2 + 2*(2*B*b*d*e - (2*B*a - A*b)*e^2)*x)/b^3 + (B*b^2*d^2 - 2*(2*B*a*b - A*b^2)*d*e + (3*B*a^2 - 2*A*a*b)*e^2)*log(b*x + a)/b^4","A",0
1696,1,77,0,0.561014," ","integrate((B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{B e x}{b^{2}} + \frac{{\left(B a b - A b^{2}\right)} d - {\left(B a^{2} - A a b\right)} e}{b^{4} x + a b^{3}} + \frac{{\left(B b d - {\left(2 \, B a - A b\right)} e\right)} \log\left(b x + a\right)}{b^{3}}"," ",0,"B*e*x/b^2 + ((B*a*b - A*b^2)*d - (B*a^2 - A*a*b)*e)/(b^4*x + a*b^3) + (B*b*d - (2*B*a - A*b)*e)*log(b*x + a)/b^3","A",0
1697,1,34,0,0.524069," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{B a - A b}{b^{3} x + a b^{2}} + \frac{B \log\left(b x + a\right)}{b^{2}}"," ",0,"(B*a - A*b)/(b^3*x + a*b^2) + B*log(b*x + a)/b^2","A",0
1698,1,118,0,0.485578," ","integrate((B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{{\left(B d - A e\right)} \log\left(b x + a\right)}{b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}} - \frac{{\left(B d - A e\right)} \log\left(e x + d\right)}{b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}} + \frac{B a - A b}{a b^{2} d - a^{2} b e + {\left(b^{3} d - a b^{2} e\right)} x}"," ",0,"(B*d - A*e)*log(b*x + a)/(b^2*d^2 - 2*a*b*d*e + a^2*e^2) - (B*d - A*e)*log(e*x + d)/(b^2*d^2 - 2*a*b*d*e + a^2*e^2) + (B*a - A*b)/(a*b^2*d - a^2*b*e + (b^3*d - a*b^2*e)*x)","A",0
1699,1,256,0,0.542377," ","integrate((B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{{\left(B b d + {\left(B a - 2 \, A b\right)} e\right)} \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{{\left(B b d + {\left(B a - 2 \, A b\right)} e\right)} \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{A a e - {\left(2 \, B a - A b\right)} d - {\left(B b d + {\left(B a - 2 \, A b\right)} e\right)} x}{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,"(B*b*d + (B*a - 2*A*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) - (B*b*d + (B*a - 2*A*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) - (A*a*e - (2*B*a - A*b)*d - (B*b*d + (B*a - 2*A*b)*e)*x)/(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
1700,1,479,0,0.800536," ","integrate((B*x+A)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{{\left(B b^{2} d + {\left(2 \, B a b - 3 \, A b^{2}\right)} e\right)} \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{{\left(B b^{2} d + {\left(2 \, B a b - 3 \, A b^{2}\right)} e\right)} \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{A a^{2} e^{2} + {\left(5 \, B a b - 2 \, A b^{2}\right)} d^{2} + {\left(B a^{2} - 5 \, A a b\right)} d e + 2 \, {\left(B b^{2} d e + {\left(2 \, B a b - 3 \, A b^{2}\right)} e^{2}\right)} x^{2} + {\left(3 \, B b^{2} d^{2} + {\left(7 \, B a b - 9 \, A b^{2}\right)} d e + {\left(2 \, B a^{2} - 3 \, A a b\right)} 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,"(B*b^2*d + (2*B*a*b - 3*A*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) - (B*b^2*d + (2*B*a*b - 3*A*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*(A*a^2*e^2 + (5*B*a*b - 2*A*b^2)*d^2 + (B*a^2 - 5*A*a*b)*d*e + 2*(B*b^2*d*e + (2*B*a*b - 3*A*b^2)*e^2)*x^2 + (3*B*b^2*d^2 + (7*B*a*b - 9*A*b^2)*d*e + (2*B*a^2 - 3*A*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
1701,1,434,0,0.611482," ","integrate((B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{{\left(B a b^{4} + 2 \, A b^{5}\right)} d^{4} + 4 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} d^{3} e - 6 \, {\left(11 \, B a^{3} b^{2} - 2 \, A a^{2} b^{3}\right)} d^{2} e^{2} + 4 \, {\left(26 \, B a^{4} b - 11 \, A a^{3} b^{2}\right)} d e^{3} - {\left(47 \, B a^{5} - 26 \, A a^{4} b\right)} e^{4} + 12 \, {\left(2 \, B b^{5} d^{3} e - 3 \, {\left(3 \, B a b^{4} - A b^{5}\right)} d^{2} e^{2} + 6 \, {\left(2 \, B a^{2} b^{3} - A a b^{4}\right)} d e^{3} - {\left(5 \, B a^{3} b^{2} - 3 \, A a^{2} b^{3}\right)} e^{4}\right)} x^{2} + 3 \, {\left(B b^{5} d^{4} + 4 \, {\left(2 \, B a b^{4} + A b^{5}\right)} d^{3} e - 6 \, {\left(9 \, B a^{2} b^{3} - 2 \, A a b^{4}\right)} d^{2} e^{2} + 4 \, {\left(20 \, B a^{3} b^{2} - 9 \, A a^{2} b^{3}\right)} d e^{3} - 5 \, {\left(7 \, B a^{4} b - 4 \, A a^{3} b^{2}\right)} e^{4}\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 b e^{4} x^{2} + 2 \, {\left(4 \, B b d e^{3} - {\left(4 \, B a - A b\right)} e^{4}\right)} x}{2 \, b^{5}} + \frac{2 \, {\left(3 \, B b^{2} d^{2} e^{2} - 2 \, {\left(4 \, B a b - A b^{2}\right)} d e^{3} + {\left(5 \, B a^{2} - 2 \, A a b\right)} e^{4}\right)} \log\left(b x + a\right)}{b^{6}}"," ",0,"-1/6*((B*a*b^4 + 2*A*b^5)*d^4 + 4*(2*B*a^2*b^3 + A*a*b^4)*d^3*e - 6*(11*B*a^3*b^2 - 2*A*a^2*b^3)*d^2*e^2 + 4*(26*B*a^4*b - 11*A*a^3*b^2)*d*e^3 - (47*B*a^5 - 26*A*a^4*b)*e^4 + 12*(2*B*b^5*d^3*e - 3*(3*B*a*b^4 - A*b^5)*d^2*e^2 + 6*(2*B*a^2*b^3 - A*a*b^4)*d*e^3 - (5*B*a^3*b^2 - 3*A*a^2*b^3)*e^4)*x^2 + 3*(B*b^5*d^4 + 4*(2*B*a*b^4 + A*b^5)*d^3*e - 6*(9*B*a^2*b^3 - 2*A*a*b^4)*d^2*e^2 + 4*(20*B*a^3*b^2 - 9*A*a^2*b^3)*d*e^3 - 5*(7*B*a^4*b - 4*A*a^3*b^2)*e^4)*x)/(b^9*x^3 + 3*a*b^8*x^2 + 3*a^2*b^7*x + a^3*b^6) + 1/2*(B*b*e^4*x^2 + 2*(4*B*b*d*e^3 - (4*B*a - A*b)*e^4)*x)/b^5 + 2*(3*B*b^2*d^2*e^2 - 2*(4*B*a*b - A*b^2)*d*e^3 + (5*B*a^2 - 2*A*a*b)*e^4)*log(b*x + a)/b^6","B",0
1702,1,292,0,0.635462," ","integrate((B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{B e^{3} x}{b^{4}} - \frac{{\left(B a b^{3} + 2 \, A b^{4}\right)} d^{3} + 3 \, {\left(2 \, B a^{2} b^{2} + A a b^{3}\right)} d^{2} e - 3 \, {\left(11 \, B a^{3} b - 2 \, A a^{2} b^{2}\right)} d e^{2} + {\left(26 \, B a^{4} - 11 \, A a^{3} b\right)} e^{3} + 18 \, {\left(B b^{4} d^{2} e - {\left(3 \, B a b^{3} - A b^{4}\right)} d e^{2} + {\left(2 \, B a^{2} b^{2} - A a b^{3}\right)} e^{3}\right)} x^{2} + 3 \, {\left(B b^{4} d^{3} + 3 \, {\left(2 \, B a b^{3} + A b^{4}\right)} d^{2} e - 3 \, {\left(9 \, B a^{2} b^{2} - 2 \, A a b^{3}\right)} d e^{2} + {\left(20 \, B a^{3} b - 9 \, A a^{2} b^{2}\right)} e^{3}\right)} x}{6 \, {\left(b^{8} x^{3} + 3 \, a b^{7} x^{2} + 3 \, a^{2} b^{6} x + a^{3} b^{5}\right)}} + \frac{{\left(3 \, B b d e^{2} - {\left(4 \, B a - A b\right)} e^{3}\right)} \log\left(b x + a\right)}{b^{5}}"," ",0,"B*e^3*x/b^4 - 1/6*((B*a*b^3 + 2*A*b^4)*d^3 + 3*(2*B*a^2*b^2 + A*a*b^3)*d^2*e - 3*(11*B*a^3*b - 2*A*a^2*b^2)*d*e^2 + (26*B*a^4 - 11*A*a^3*b)*e^3 + 18*(B*b^4*d^2*e - (3*B*a*b^3 - A*b^4)*d*e^2 + (2*B*a^2*b^2 - A*a*b^3)*e^3)*x^2 + 3*(B*b^4*d^3 + 3*(2*B*a*b^3 + A*b^4)*d^2*e - 3*(9*B*a^2*b^2 - 2*A*a*b^3)*d*e^2 + (20*B*a^3*b - 9*A*a^2*b^2)*e^3)*x)/(b^8*x^3 + 3*a*b^7*x^2 + 3*a^2*b^6*x + a^3*b^5) + (3*B*b*d*e^2 - (4*B*a - A*b)*e^3)*log(b*x + a)/b^5","B",0
1703,1,189,0,0.638352," ","integrate((B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{{\left(B a b^{2} + 2 \, A b^{3}\right)} d^{2} + 2 \, {\left(2 \, B a^{2} b + A a b^{2}\right)} d e - {\left(11 \, B a^{3} - 2 \, A a^{2} b\right)} e^{2} + 6 \, {\left(2 \, B b^{3} d e - {\left(3 \, B a b^{2} - A b^{3}\right)} e^{2}\right)} x^{2} + 3 \, {\left(B b^{3} d^{2} + 2 \, {\left(2 \, B a b^{2} + A b^{3}\right)} d e - {\left(9 \, B a^{2} b - 2 \, A a b^{2}\right)} e^{2}\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{B e^{2} \log\left(b x + a\right)}{b^{4}}"," ",0,"-1/6*((B*a*b^2 + 2*A*b^3)*d^2 + 2*(2*B*a^2*b + A*a*b^2)*d*e - (11*B*a^3 - 2*A*a^2*b)*e^2 + 6*(2*B*b^3*d*e - (3*B*a*b^2 - A*b^3)*e^2)*x^2 + 3*(B*b^3*d^2 + 2*(2*B*a*b^2 + A*b^3)*d*e - (9*B*a^2*b - 2*A*a*b^2)*e^2)*x)/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4) + B*e^2*log(b*x + a)/b^4","A",0
1704,1,97,0,0.557914," ","integrate((B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{6 \, B b^{2} e x^{2} + {\left(B a b + 2 \, A b^{2}\right)} d + {\left(2 \, B a^{2} + A a b\right)} e + 3 \, {\left(B b^{2} d + {\left(2 \, B a b + A b^{2}\right)} e\right)} x}{6 \, {\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}"," ",0,"-1/6*(6*B*b^2*e*x^2 + (B*a*b + 2*A*b^2)*d + (2*B*a^2 + A*a*b)*e + 3*(B*b^2*d + (2*B*a*b + A*b^2)*e)*x)/(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + a^3*b^3)","A",0
1705,1,50,0,0.518919," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{3 \, B b x + B a + 2 \, A b}{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*b*x + B*a + 2*A*b)/(b^5*x^3 + 3*a*b^4*x^2 + 3*a^2*b^3*x + a^3*b^2)","A",0
1706,1,452,0,0.705411," ","integrate((B*x+A)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{{\left(B d e^{2} - A e^{3}\right)} \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{{\left(B d e^{2} - A e^{3}\right)} \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{{\left(B a b^{2} + 2 \, A b^{3}\right)} d^{2} - {\left(5 \, B a^{2} b + 7 \, A a b^{2}\right)} d e - {\left(2 \, B a^{3} - 11 \, A a^{2} b\right)} e^{2} - 6 \, {\left(B b^{3} d e - A b^{3} e^{2}\right)} x^{2} + 3 \, {\left(B b^{3} d^{2} + 5 \, A a b^{2} e^{2} - {\left(5 \, B a b^{2} + A b^{3}\right)} d e\right)} x}{6 \, {\left(a^{3} b^{4} d^{3} - 3 \, a^{4} b^{3} d^{2} e + 3 \, a^{5} b^{2} d e^{2} - a^{6} b e^{3} + {\left(b^{7} d^{3} - 3 \, a b^{6} d^{2} e + 3 \, a^{2} b^{5} d e^{2} - a^{3} b^{4} e^{3}\right)} x^{3} + 3 \, {\left(a b^{6} d^{3} - 3 \, a^{2} b^{5} d^{2} e + 3 \, a^{3} b^{4} d e^{2} - a^{4} b^{3} e^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{5} d^{3} - 3 \, a^{3} b^{4} d^{2} e + 3 \, a^{4} b^{3} d e^{2} - a^{5} b^{2} e^{3}\right)} x\right)}}"," ",0,"(B*d*e^2 - A*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) - (B*d*e^2 - A*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*((B*a*b^2 + 2*A*b^3)*d^2 - (5*B*a^2*b + 7*A*a*b^2)*d*e - (2*B*a^3 - 11*A*a^2*b)*e^2 - 6*(B*b^3*d*e - A*b^3*e^2)*x^2 + 3*(B*b^3*d^2 + 5*A*a*b^2*e^2 - (5*B*a*b^2 + A*b^3)*d*e)*x)/(a^3*b^4*d^3 - 3*a^4*b^3*d^2*e + 3*a^5*b^2*d*e^2 - a^6*b*e^3 + (b^7*d^3 - 3*a*b^6*d^2*e + 3*a^2*b^5*d*e^2 - a^3*b^4*e^3)*x^3 + 3*(a*b^6*d^3 - 3*a^2*b^5*d^2*e + 3*a^3*b^4*d*e^2 - a^4*b^3*e^3)*x^2 + 3*(a^2*b^5*d^3 - 3*a^3*b^4*d^2*e + 3*a^4*b^3*d*e^2 - a^5*b^2*e^3)*x)","B",0
1707,1,757,0,0.758603," ","integrate((B*x+A)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{{\left(3 \, B b d e^{2} + {\left(B a - 4 \, A b\right)} e^{3}\right)} \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{{\left(3 \, B b d e^{2} + {\left(B a - 4 \, A b\right)} e^{3}\right)} \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{6 \, A a^{3} e^{3} + {\left(B a b^{2} + 2 \, A b^{3}\right)} d^{3} - 2 \, {\left(4 \, B a^{2} b + 5 \, A a b^{2}\right)} d^{2} e - {\left(17 \, B a^{3} - 26 \, A a^{2} b\right)} d e^{2} - 6 \, {\left(3 \, B b^{3} d e^{2} + {\left(B a b^{2} - 4 \, A b^{3}\right)} e^{3}\right)} x^{3} - 3 \, {\left(3 \, B b^{3} d^{2} e + 4 \, {\left(4 \, B a b^{2} - A b^{3}\right)} d e^{2} + 5 \, {\left(B a^{2} b - 4 \, A a b^{2}\right)} e^{3}\right)} x^{2} + {\left(3 \, B b^{3} d^{3} - {\left(23 \, B a b^{2} + 4 \, A b^{3}\right)} d^{2} e - {\left(41 \, B a^{2} b - 32 \, A a b^{2}\right)} d e^{2} - 11 \, {\left(B a^{3} - 4 \, A a^{2} b\right)} e^{3}\right)} x}{6 \, {\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,"(3*B*b*d*e^2 + (B*a - 4*A*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) - (3*B*b*d*e^2 + (B*a - 4*A*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) - 1/6*(6*A*a^3*e^3 + (B*a*b^2 + 2*A*b^3)*d^3 - 2*(4*B*a^2*b + 5*A*a*b^2)*d^2*e - (17*B*a^3 - 26*A*a^2*b)*d*e^2 - 6*(3*B*b^3*d*e^2 + (B*a*b^2 - 4*A*b^3)*e^3)*x^3 - 3*(3*B*b^3*d^2*e + 4*(4*B*a*b^2 - A*b^3)*d*e^2 + 5*(B*a^2*b - 4*A*a*b^2)*e^3)*x^2 + (3*B*b^3*d^3 - (23*B*a*b^2 + 4*A*b^3)*d^2*e - (41*B*a^2*b - 32*A*a*b^2)*d*e^2 - 11*(B*a^3 - 4*A*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
1708,1,1002,0,0.585571," ","integrate((B*x+A)*(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}} B e^{4} x^{4}}{7 \, b^{2}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a e^{4} x^{3}}{42 \, b^{3}} + \frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A d^{4} x - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{5} e^{4} x}{2 \, b^{5}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2} e^{4} x^{2}}{14 \, b^{4}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a d^{4}}{2 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{6} e^{4}}{2 \, b^{6}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{3} e^{4} x}{7 \, b^{5}} + \frac{10 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{4} e^{4}}{21 \, b^{6}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{3}}{6 \, b^{2}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} x}{2 \, b^{4}} - \frac{{\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} x}{b^{3}} + \frac{{\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x}{b^{2}} - \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a x}{2 \, b} - \frac{3 \, {\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x^{2}}{10 \, b^{3}} + \frac{2 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{2}}{5 \, b^{2}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5}}{2 \, b^{5}} - \frac{{\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}}{b^{4}} + \frac{{\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}}{b^{3}} - \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{2 \, b^{2}} + \frac{2 \, {\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{5 \, b^{4}} - \frac{7 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{10 \, b^{3}} + \frac{{\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x}{2 \, b^{2}} - \frac{7 \, {\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{15 \, b^{5}} + \frac{9 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{10 \, b^{4}} - \frac{5 \, {\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a}{6 \, b^{3}} + \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{3 \, b^{2}}"," ",0,"1/7*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*e^4*x^4/b^2 - 11/42*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*e^4*x^3/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*d^4*x - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^5*e^4*x/b^5 + 5/14*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2*e^4*x^2/b^4 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a*d^4/b - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^6*e^4/b^6 - 3/7*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^3*e^4*x/b^5 + 10/21*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^4*e^4/b^6 + 1/6*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^3/b^2 + 1/2*(4*B*d*e^3 + A*e^4)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*x/b^4 - (3*B*d^2*e^2 + 2*A*d*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*x/b^3 + (2*B*d^3*e + 3*A*d^2*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x/b^2 - 1/2*(B*d^4 + 4*A*d^3*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*x/b - 3/10*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x^2/b^3 + 2/5*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^2/b^2 + 1/2*(4*B*d*e^3 + A*e^4)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5/b^5 - (3*B*d^2*e^2 + 2*A*d*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4/b^4 + (2*B*d^3*e + 3*A*d^2*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3/b^3 - 1/2*(B*d^4 + 4*A*d^3*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^2 + 2/5*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^4 - 7/10*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b^3 + 1/2*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x/b^2 - 7/15*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^5 + 9/10*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^4 - 5/6*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a/b^3 + 1/3*(B*d^4 + 4*A*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/b^2","B",0
1709,1,698,0,0.617129," ","integrate((B*x+A)*(e*x+d)^3*((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}} B e^{3} x^{3}}{6 \, b^{2}} + \frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A d^{3} x + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{4} e^{3} x}{2 \, b^{4}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a e^{3} x^{2}}{10 \, b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a d^{3}}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{5} e^{3}}{2 \, b^{5}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2} e^{3} x}{5 \, b^{4}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{3} e^{3}}{15 \, b^{5}} - \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} x}{2 \, b^{3}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a x}{2 \, b} + \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{2}}{5 \, b^{2}} - \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}}{2 \, b^{4}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{2 \, b^{2}} - \frac{7 \, {\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{20 \, b^{3}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x}{4 \, b^{2}} + \frac{9 \, {\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{20 \, b^{4}} - \frac{5 \, {\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a}{4 \, b^{3}} + \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{3 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*e^3*x^3/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*d^3*x + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^4*e^3*x/b^4 - 3/10*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*e^3*x^2/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a*d^3/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^5*e^3/b^5 + 2/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2*e^3*x/b^4 - 7/15*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^3*e^3/b^5 - 1/2*(3*B*d*e^2 + A*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*x/b^3 + 3/2*(B*d^2*e + A*d*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x/b^2 - 1/2*(B*d^3 + 3*A*d^2*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*x/b + 1/5*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^2/b^2 - 1/2*(3*B*d*e^2 + A*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4/b^4 + 3/2*(B*d^2*e + A*d*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3/b^3 - 1/2*(B*d^3 + 3*A*d^2*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^2 - 7/20*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b^3 + 3/4*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x/b^2 + 9/20*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^4 - 5/4*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a/b^3 + 1/3*(B*d^3 + 3*A*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/b^2","B",0
1710,1,456,0,0.595784," ","integrate((B*x+A)*(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}} A d^{2} x - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{3} e^{2} x}{2 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B e^{2} x^{2}}{5 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a d^{2}}{2 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{4} e^{2}}{2 \, b^{4}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a e^{2} x}{20 \, b^{3}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2} e^{2}}{20 \, b^{4}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(2 \, B d e + A e^{2}\right)} a^{2} x}{2 \, b^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(B d^{2} + 2 \, A d e\right)} a x}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(2 \, B d e + A e^{2}\right)} a^{3}}{2 \, b^{3}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(B d^{2} + 2 \, A d e\right)} a^{2}}{2 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(2 \, B d e + A e^{2}\right)} x}{4 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(2 \, B d e + A e^{2}\right)} a}{12 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(B d^{2} + 2 \, A d e\right)}}{3 \, b^{2}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*d^2*x - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^3*e^2*x/b^3 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*e^2*x^2/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a*d^2/b - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^4*e^2/b^4 - 7/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*e^2*x/b^3 + 9/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2*e^2/b^4 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(2*B*d*e + A*e^2)*a^2*x/b^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(B*d^2 + 2*A*d*e)*a*x/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(2*B*d*e + A*e^2)*a^3/b^3 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(B*d^2 + 2*A*d*e)*a^2/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(2*B*d*e + A*e^2)*x/b^2 - 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(2*B*d*e + A*e^2)*a/b^3 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(B*d^2 + 2*A*d*e)/b^2","B",0
1711,1,254,0,0.635504," ","integrate((B*x+A)*(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}} A d x + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{2} e x}{2 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a d}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{3} e}{2 \, b^{3}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(B d + A e\right)} a x}{2 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B e x}{4 \, b^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(B d + A e\right)} a^{2}}{2 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a e}{12 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(B d + A e\right)}}{3 \, b^{2}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*d*x + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^2*e*x/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a*d/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^3*e/b^3 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(B*d + A*e)*a*x/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*e*x/b^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(B*d + A*e)*a^2/b^2 - 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*e/b^3 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(B*d + A*e)/b^2","B",0
1712,1,125,0,0.556889," ","integrate((B*x+A)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A x - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a x}{2 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{2}}{2 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} A a}{2 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B}{3 \, b^{2}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*x - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a*x/b - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^2/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*A*a/b + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B/b^2","B",0
1713,-2,0,0,0.000000," ","integrate((B*x+A)*((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
1714,-2,0,0,0.000000," ","integrate((B*x+A)*((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
1715,-2,0,0,0.000000," ","integrate((B*x+A)*((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
1716,-2,0,0,0.000000," ","integrate((B*x+A)*((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
1717,-2,0,0,0.000000," ","integrate((B*x+A)*((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
1718,-2,0,0,0.000000," ","integrate((B*x+A)*((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
1719,-2,0,0,0.000000," ","integrate((B*x+A)*((b*x+a)^2)^(1/2)/(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
1720,1,1330,0,0.630565," ","integrate((B*x+A)*(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}} B e^{5} x^{5}}{10 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a e^{5} x^{4}}{6 \, b^{3}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2} e^{5} x^{3}}{24 \, b^{4}} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A d^{5} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{6} e^{5} x}{4 \, b^{6}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{3} e^{5} x^{2}}{56 \, b^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a d^{5}}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{7} e^{5}}{4 \, b^{7}} + \frac{41 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{4} e^{5} x}{168 \, b^{6}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{5} e^{5}}{840 \, b^{7}} + \frac{{\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{4}}{9 \, b^{2}} - \frac{13 \, {\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{3}}{72 \, b^{3}} + \frac{5 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{3}}{8 \, b^{2}} - \frac{{\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} x}{4 \, b^{5}} + \frac{5 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} x}{4 \, b^{4}} - \frac{5 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{2 \, b^{3}} + \frac{5 \, {\left(B d^{4} e + 2 \, A d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{4 \, b^{2}} - \frac{{\left(B d^{5} + 5 \, A d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{4 \, b} + \frac{37 \, {\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{2}}{168 \, b^{4}} - \frac{55 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{2}}{56 \, b^{3}} + \frac{10 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{2}}{7 \, b^{2}} - \frac{{\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6}}{4 \, b^{6}} + \frac{5 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5}}{4 \, b^{5}} - \frac{5 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{2 \, b^{4}} + \frac{5 \, {\left(B d^{4} e + 2 \, A d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{4 \, b^{3}} - \frac{{\left(B d^{5} + 5 \, A d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{4 \, b^{2}} - \frac{121 \, {\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{504 \, b^{5}} + \frac{65 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{56 \, b^{4}} - \frac{15 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{7 \, b^{3}} + \frac{5 \, {\left(B d^{4} e + 2 \, A d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x}{6 \, b^{2}} + \frac{125 \, {\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{504 \, b^{6}} - \frac{69 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{56 \, b^{5}} + \frac{17 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{7 \, b^{4}} - \frac{7 \, {\left(B d^{4} e + 2 \, A d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{6 \, b^{3}} + \frac{{\left(B d^{5} + 5 \, A d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, b^{2}}"," ",0,"1/10*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*e^5*x^5/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*e^5*x^4/b^3 + 5/24*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2*e^5*x^3/b^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*d^5*x + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^6*e^5*x/b^6 - 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3*e^5*x^2/b^5 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*d^5/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^7*e^5/b^7 + 41/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^4*e^5*x/b^6 - 209/840*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^5*e^5/b^7 + 1/9*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^4/b^2 - 13/72*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^3/b^3 + 5/8*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^3/b^2 - 1/4*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*x/b^5 + 5/4*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*x/b^4 - 5/2*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^3 + 5/4*(B*d^4*e + 2*A*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^2 - 1/4*(B*d^5 + 5*A*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b + 37/168*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x^2/b^4 - 55/56*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^2/b^3 + 10/7*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^2/b^2 - 1/4*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6/b^6 + 5/4*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5/b^5 - 5/2*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^4 + 5/4*(B*d^4*e + 2*A*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^3 - 1/4*(B*d^5 + 5*A*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^2 - 121/504*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^5 + 65/56*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^4 - 15/7*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b^3 + 5/6*(B*d^4*e + 2*A*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x/b^2 + 125/504*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^6 - 69/56*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^5 + 17/7*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^4 - 7/6*(B*d^4*e + 2*A*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b^3 + 1/5*(B*d^5 + 5*A*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b^2","B",0
1721,1,1004,0,0.792368," ","integrate((B*x+A)*(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}} B e^{4} x^{4}}{9 \, b^{2}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a e^{4} x^{3}}{72 \, b^{3}} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A d^{4} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{5} e^{4} x}{4 \, b^{5}} + \frac{37 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2} e^{4} x^{2}}{168 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a d^{4}}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{6} e^{4}}{4 \, b^{6}} - \frac{121 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{3} e^{4} x}{504 \, b^{5}} + \frac{125 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{4} e^{4}}{504 \, b^{6}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{3}}{8 \, b^{2}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} x}{4 \, b^{4}} - \frac{{\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{2 \, b^{3}} + \frac{{\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{4 \, b} - \frac{11 \, {\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{2}}{56 \, b^{3}} + \frac{2 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{2}}{7 \, b^{2}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5}}{4 \, b^{5}} - \frac{{\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{2 \, b^{4}} + \frac{{\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{4 \, b^{2}} + \frac{13 \, {\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{56 \, b^{4}} - \frac{3 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{7 \, b^{3}} + \frac{{\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x}{3 \, b^{2}} - \frac{69 \, {\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{280 \, b^{5}} + \frac{17 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{35 \, b^{4}} - \frac{7 \, {\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{15 \, b^{3}} + \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, b^{2}}"," ",0,"1/9*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*e^4*x^4/b^2 - 13/72*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*e^4*x^3/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*d^4*x - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^5*e^4*x/b^5 + 37/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2*e^4*x^2/b^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*d^4/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^6*e^4/b^6 - 121/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3*e^4*x/b^5 + 125/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^4*e^4/b^6 + 1/8*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^3/b^2 + 1/4*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*x/b^4 - 1/2*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^3 + 1/2*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^2 - 1/4*(B*d^4 + 4*A*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b - 11/56*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^2/b^3 + 2/7*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^2/b^2 + 1/4*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5/b^5 - 1/2*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^4 + 1/2*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^3 - 1/4*(B*d^4 + 4*A*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^2 + 13/56*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^4 - 3/7*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b^3 + 1/3*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x/b^2 - 69/280*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^5 + 17/35*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^4 - 7/15*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b^3 + 1/5*(B*d^4 + 4*A*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b^2","B",0
1722,1,698,0,0.561471," ","integrate((B*x+A)*(e*x+d)^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{5}{2}} B e^{3} x^{3}}{8 \, b^{2}} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A d^{3} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{4} e^{3} x}{4 \, b^{4}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a e^{3} x^{2}}{56 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a d^{3}}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{5} e^{3}}{4 \, b^{5}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2} e^{3} x}{56 \, b^{4}} - \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{3} e^{3}}{280 \, b^{5}} - \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{4 \, b^{3}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{4 \, b^{2}} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{4 \, b} + \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{2}}{7 \, b^{2}} - \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{4 \, b^{4}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{4 \, b^{3}} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{4 \, b^{2}} - \frac{3 \, {\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{14 \, b^{3}} + \frac{{\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x}{2 \, b^{2}} + \frac{17 \, {\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{70 \, b^{4}} - \frac{7 \, {\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{10 \, b^{3}} + \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, b^{2}}"," ",0,"1/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*e^3*x^3/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*d^3*x + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^4*e^3*x/b^4 - 11/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*e^3*x^2/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*d^3/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^5*e^3/b^5 + 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2*e^3*x/b^4 - 69/280*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3*e^3/b^5 - 1/4*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^3 + 3/4*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^2 - 1/4*(B*d^3 + 3*A*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b + 1/7*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^2/b^2 - 1/4*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^4 + 3/4*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^3 - 1/4*(B*d^3 + 3*A*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^2 - 3/14*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b^3 + 1/2*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x/b^2 + 17/70*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^4 - 7/10*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b^3 + 1/5*(B*d^3 + 3*A*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b^2","B",0
1723,1,456,0,0.566120," ","integrate((B*x+A)*(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}} A d^{2} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{3} e^{2} x}{4 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B e^{2} x^{2}}{7 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a d^{2}}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{4} e^{2}}{4 \, b^{4}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a e^{2} x}{14 \, b^{3}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2} e^{2}}{70 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(2 \, B d e + A e^{2}\right)} a^{2} x}{4 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(B d^{2} + 2 \, A d e\right)} a x}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(2 \, B d e + A e^{2}\right)} a^{3}}{4 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(B d^{2} + 2 \, A d e\right)} a^{2}}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(2 \, B d e + A e^{2}\right)} x}{6 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(2 \, B d e + A e^{2}\right)} a}{30 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(B d^{2} + 2 \, A d e\right)}}{5 \, b^{2}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*d^2*x - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^3*e^2*x/b^3 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*e^2*x^2/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*d^2/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^4*e^2/b^4 - 3/14*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*e^2*x/b^3 + 17/70*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2*e^2/b^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(2*B*d*e + A*e^2)*a^2*x/b^2 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(B*d^2 + 2*A*d*e)*a*x/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(2*B*d*e + A*e^2)*a^3/b^3 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(B*d^2 + 2*A*d*e)*a^2/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(2*B*d*e + A*e^2)*x/b^2 - 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(2*B*d*e + A*e^2)*a/b^3 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(B*d^2 + 2*A*d*e)/b^2","B",0
1724,1,254,0,0.538693," ","integrate((B*x+A)*(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}} A d x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2} e x}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a d}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{3} e}{4 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(B d + A e\right)} a x}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B e x}{6 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(B d + A e\right)} a^{2}}{4 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a e}{30 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(B d + A e\right)}}{5 \, b^{2}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*d*x + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2*e*x/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a*d/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^3*e/b^3 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(B*d + A*e)*a*x/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*e*x/b^2 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(B*d + A*e)*a^2/b^2 - 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*e/b^3 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(B*d + A*e)/b^2","B",0
1725,1,125,0,0.526573," ","integrate((B*x+A)*(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}} A x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a x}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} B a^{2}}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} A a}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B}{5 \, b^{2}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*x - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a*x/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*B*a^2/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*A*a/b + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B/b^2","B",0
1726,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1727,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1728,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1729,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1730,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1731,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1732,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1733,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1734,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1735,-2,0,0,0.000000," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(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
1736,-2,0,0,0.000000," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(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
1737,-2,0,0,0.000000," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(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
1738,1,1744,0,0.697668," ","integrate((B*x+A)*(e*x+d)^6*(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}} B e^{6} x^{6}}{13 \, b^{2}} - \frac{19 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a e^{6} x^{5}}{156 \, b^{3}} + \frac{251 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2} e^{6} x^{4}}{1716 \, b^{4}} - \frac{68 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{3} e^{6} x^{3}}{429 \, b^{5}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A d^{6} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{7} e^{6} x}{6 \, b^{7}} + \frac{211 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{4} e^{6} x^{2}}{1287 \, b^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a d^{6}}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{8} e^{6}}{6 \, b^{8}} - \frac{1709 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{5} e^{6} x}{10296 \, b^{7}} + \frac{1715 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{6} e^{6}}{10296 \, b^{8}} + \frac{{\left(6 \, B d e^{5} + A e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{5}}{12 \, b^{2}} - \frac{17 \, {\left(6 \, B d e^{5} + A e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{4}}{132 \, b^{3}} + \frac{3 \, {\left(5 \, B d^{2} e^{4} + 2 \, A d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{4}}{11 \, b^{2}} + \frac{5 \, {\left(6 \, B d e^{5} + A e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{3}}{33 \, b^{4}} - \frac{9 \, {\left(5 \, B d^{2} e^{4} + 2 \, A d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{3}}{22 \, b^{3}} + \frac{{\left(4 \, B d^{3} e^{3} + 3 \, A d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{2 \, b^{2}} + \frac{{\left(6 \, B d e^{5} + A e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} x}{6 \, b^{6}} - \frac{{\left(5 \, B d^{2} e^{4} + 2 \, A d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} x}{2 \, b^{5}} + \frac{5 \, {\left(4 \, B d^{3} e^{3} + 3 \, A d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{6 \, b^{4}} - \frac{5 \, {\left(3 \, B d^{4} e^{2} + 4 \, A d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{6 \, b^{3}} + \frac{{\left(2 \, B d^{5} e + 5 \, A d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(B d^{6} + 6 \, A d^{5} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} - \frac{16 \, {\left(6 \, B d e^{5} + A e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{2}}{99 \, b^{5}} + \frac{31 \, {\left(5 \, B d^{2} e^{4} + 2 \, A d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{2}}{66 \, b^{4}} - \frac{13 \, {\left(4 \, B d^{3} e^{3} + 3 \, A d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{18 \, b^{3}} + \frac{5 \, {\left(3 \, B d^{4} e^{2} + 4 \, A d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} + \frac{{\left(6 \, B d e^{5} + A e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7}}{6 \, b^{7}} - \frac{{\left(5 \, B d^{2} e^{4} + 2 \, A d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6}}{2 \, b^{6}} + \frac{5 \, {\left(4 \, B d^{3} e^{3} + 3 \, A d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{6 \, b^{5}} - \frac{5 \, {\left(3 \, B d^{4} e^{2} + 4 \, A d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{6 \, b^{4}} + \frac{{\left(2 \, B d^{5} e + 5 \, A d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(B d^{6} + 6 \, A d^{5} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} + \frac{131 \, {\left(6 \, B d e^{5} + A e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x}{792 \, b^{6}} - \frac{65 \, {\left(5 \, B d^{2} e^{4} + 2 \, A d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x}{132 \, b^{5}} + \frac{29 \, {\left(4 \, B d^{3} e^{3} + 3 \, A d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{36 \, b^{4}} - \frac{55 \, {\left(3 \, B d^{4} e^{2} + 4 \, A d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{72 \, b^{3}} + \frac{3 \, {\left(2 \, B d^{5} e + 5 \, A d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{8 \, b^{2}} - \frac{923 \, {\left(6 \, B d e^{5} + A e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5}}{5544 \, b^{7}} + \frac{461 \, {\left(5 \, B d^{2} e^{4} + 2 \, A d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4}}{924 \, b^{6}} - \frac{209 \, {\left(4 \, B d^{3} e^{3} + 3 \, A d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{252 \, b^{5}} + \frac{415 \, {\left(3 \, B d^{4} e^{2} + 4 \, A d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{504 \, b^{4}} - \frac{27 \, {\left(2 \, B d^{5} e + 5 \, A d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}} + \frac{{\left(B d^{6} + 6 \, A d^{5} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/13*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*e^6*x^6/b^2 - 19/156*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*e^6*x^5/b^3 + 251/1716*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2*e^6*x^4/b^4 - 68/429*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^3*e^6*x^3/b^5 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*d^6*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^7*e^6*x/b^7 + 211/1287*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^4*e^6*x^2/b^6 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*d^6/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^8*e^6/b^8 - 1709/10296*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^5*e^6*x/b^7 + 1715/10296*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^6*e^6/b^8 + 1/12*(6*B*d*e^5 + A*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^5/b^2 - 17/132*(6*B*d*e^5 + A*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^4/b^3 + 3/11*(5*B*d^2*e^4 + 2*A*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^4/b^2 + 5/33*(6*B*d*e^5 + A*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^3/b^4 - 9/22*(5*B*d^2*e^4 + 2*A*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^3/b^3 + 1/2*(4*B*d^3*e^3 + 3*A*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 + 1/6*(6*B*d*e^5 + A*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*x/b^6 - 1/2*(5*B*d^2*e^4 + 2*A*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*x/b^5 + 5/6*(4*B*d^3*e^3 + 3*A*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 5/6*(3*B*d^4*e^2 + 4*A*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 1/2*(2*B*d^5*e + 5*A*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(B*d^6 + 6*A*d^5*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b - 16/99*(6*B*d*e^5 + A*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^2/b^5 + 31/66*(5*B*d^2*e^4 + 2*A*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^2/b^4 - 13/18*(4*B*d^3*e^3 + 3*A*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 5/9*(3*B*d^4*e^2 + 4*A*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 + 1/6*(6*B*d*e^5 + A*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7/b^7 - 1/2*(5*B*d^2*e^4 + 2*A*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6/b^6 + 5/6*(4*B*d^3*e^3 + 3*A*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 - 5/6*(3*B*d^4*e^2 + 4*A*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 1/2*(2*B*d^5*e + 5*A*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(B*d^6 + 6*A*d^5*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 + 131/792*(6*B*d*e^5 + A*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x/b^6 - 65/132*(5*B*d^2*e^4 + 2*A*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x/b^5 + 29/36*(4*B*d^3*e^3 + 3*A*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 55/72*(3*B*d^4*e^2 + 4*A*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 3/8*(2*B*d^5*e + 5*A*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 - 923/5544*(6*B*d*e^5 + A*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5/b^7 + 461/924*(5*B*d^2*e^4 + 2*A*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4/b^6 - 209/252*(4*B*d^3*e^3 + 3*A*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5 + 415/504*(3*B*d^4*e^2 + 4*A*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 27/56*(2*B*d^5*e + 5*A*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(B*d^6 + 6*A*d^5*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1739,1,1330,0,0.809841," ","integrate((B*x+A)*(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}} B e^{5} x^{5}}{12 \, b^{2}} - \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a e^{5} x^{4}}{132 \, b^{3}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2} e^{5} x^{3}}{33 \, b^{4}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A d^{5} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{6} e^{5} x}{6 \, b^{6}} - \frac{16 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{3} e^{5} x^{2}}{99 \, b^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a d^{5}}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{7} e^{5}}{6 \, b^{7}} + \frac{131 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{4} e^{5} x}{792 \, b^{6}} - \frac{923 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{5} e^{5}}{5544 \, b^{7}} + \frac{{\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{4}}{11 \, b^{2}} - \frac{3 \, {\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{3}}{22 \, b^{3}} + \frac{{\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{2 \, b^{2}} - \frac{{\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} x}{6 \, b^{5}} + \frac{5 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{6 \, b^{4}} - \frac{5 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{3 \, b^{3}} + \frac{5 \, {\left(B d^{4} e + 2 \, A d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{6 \, b^{2}} - \frac{{\left(B d^{5} + 5 \, A d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} + \frac{31 \, {\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{2}}{198 \, b^{4}} - \frac{13 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{18 \, b^{3}} + \frac{10 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} - \frac{{\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6}}{6 \, b^{6}} + \frac{5 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{6 \, b^{5}} - \frac{5 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{3 \, b^{4}} + \frac{5 \, {\left(B d^{4} e + 2 \, A d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{6 \, b^{3}} - \frac{{\left(B d^{5} + 5 \, A d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} - \frac{65 \, {\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x}{396 \, b^{5}} + \frac{29 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{36 \, b^{4}} - \frac{55 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{36 \, b^{3}} + \frac{5 \, {\left(B d^{4} e + 2 \, A d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{8 \, b^{2}} + \frac{461 \, {\left(5 \, B d e^{4} + A e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4}}{2772 \, b^{6}} - \frac{209 \, {\left(2 \, B d^{2} e^{3} + A d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{252 \, b^{5}} + \frac{415 \, {\left(B d^{3} e^{2} + A d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{252 \, b^{4}} - \frac{45 \, {\left(B d^{4} e + 2 \, A d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}} + \frac{{\left(B d^{5} + 5 \, A d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/12*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*e^5*x^5/b^2 - 17/132*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*e^5*x^4/b^3 + 5/33*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2*e^5*x^3/b^4 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*d^5*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^6*e^5*x/b^6 - 16/99*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^3*e^5*x^2/b^5 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*d^5/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^7*e^5/b^7 + 131/792*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^4*e^5*x/b^6 - 923/5544*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^5*e^5/b^7 + 1/11*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^4/b^2 - 3/22*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^3/b^3 + 1/2*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 - 1/6*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*x/b^5 + 5/6*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 5/3*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 5/6*(B*d^4*e + 2*A*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(B*d^5 + 5*A*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b + 31/198*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^2/b^4 - 13/18*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 10/9*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 - 1/6*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6/b^6 + 5/6*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 - 5/3*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 5/6*(B*d^4*e + 2*A*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(B*d^5 + 5*A*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 - 65/396*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x/b^5 + 29/36*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 55/36*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 5/8*(B*d^4*e + 2*A*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 + 461/2772*(5*B*d*e^4 + A*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4/b^6 - 209/252*(2*B*d^2*e^3 + A*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5 + 415/252*(B*d^3*e^2 + A*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 45/56*(B*d^4*e + 2*A*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(B*d^5 + 5*A*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1740,1,1004,0,0.645772," ","integrate((B*x+A)*(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}} B e^{4} x^{4}}{11 \, b^{2}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a e^{4} x^{3}}{22 \, b^{3}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A d^{4} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{5} e^{4} x}{6 \, b^{5}} + \frac{31 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2} e^{4} x^{2}}{198 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a d^{4}}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{6} e^{4}}{6 \, b^{6}} - \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{3} e^{4} x}{396 \, b^{5}} + \frac{461 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{4} e^{4}}{2772 \, b^{6}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{10 \, b^{2}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{6 \, b^{4}} - \frac{{\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{3 \, b^{3}} + \frac{{\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{3 \, b^{2}} - \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} - \frac{13 \, {\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{90 \, b^{3}} + \frac{2 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{6 \, b^{5}} - \frac{{\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{3 \, b^{4}} + \frac{{\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{3 \, b^{3}} - \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} + \frac{29 \, {\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{180 \, b^{4}} - \frac{11 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{36 \, b^{3}} + \frac{{\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{4 \, b^{2}} - \frac{209 \, {\left(4 \, B d e^{3} + A e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{1260 \, b^{5}} + \frac{83 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{252 \, b^{4}} - \frac{9 \, {\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{28 \, b^{3}} + \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/11*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*e^4*x^4/b^2 - 3/22*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*e^4*x^3/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*d^4*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^5*e^4*x/b^5 + 31/198*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2*e^4*x^2/b^4 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*d^4/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^6*e^4/b^6 - 65/396*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^3*e^4*x/b^5 + 461/2772*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^4*e^4/b^6 + 1/10*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 + 1/6*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 1/3*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 1/3*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(B*d^4 + 4*A*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b - 13/90*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 2/9*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 + 1/6*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 - 1/3*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 1/3*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(B*d^4 + 4*A*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 + 29/180*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 11/36*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 1/4*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 - 209/1260*(4*B*d*e^3 + A*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5 + 83/252*(3*B*d^2*e^2 + 2*A*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 9/28*(2*B*d^3*e + 3*A*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(B*d^4 + 4*A*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1741,1,698,0,0.543968," ","integrate((B*x+A)*(e*x+d)^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{7}{2}} B e^{3} x^{3}}{10 \, b^{2}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A d^{3} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{4} e^{3} x}{6 \, b^{4}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a e^{3} x^{2}}{90 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a d^{3}}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{5} e^{3}}{6 \, b^{5}} + \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2} e^{3} x}{180 \, b^{4}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{3} e^{3}}{1260 \, b^{5}} - \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{6 \, b^{3}} + \frac{{\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} + \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} - \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{6 \, b^{4}} + \frac{{\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} - \frac{11 \, {\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{72 \, b^{3}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{8 \, b^{2}} + \frac{83 \, {\left(3 \, B d e^{2} + A e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{504 \, b^{4}} - \frac{27 \, {\left(B d^{2} e + A d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}} + \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/10*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*e^3*x^3/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*d^3*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^4*e^3*x/b^4 - 13/90*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*e^3*x^2/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*d^3/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^5*e^3/b^5 + 29/180*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2*e^3*x/b^4 - 209/1260*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^3*e^3/b^5 - 1/6*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 1/2*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(B*d^3 + 3*A*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b + 1/9*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 - 1/6*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 1/2*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(B*d^3 + 3*A*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 - 11/72*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 3/8*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 + 83/504*(3*B*d*e^2 + A*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 27/56*(B*d^2*e + A*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(B*d^3 + 3*A*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1742,1,456,0,0.610559," ","integrate((B*x+A)*(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}} A d^{2} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{3} e^{2} x}{6 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B e^{2} x^{2}}{9 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a d^{2}}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{4} e^{2}}{6 \, b^{4}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a e^{2} x}{72 \, b^{3}} + \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a^{2} e^{2}}{504 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(2 \, B d e + A e^{2}\right)} a^{2} x}{6 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(B d^{2} + 2 \, A d e\right)} a x}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(2 \, B d e + A e^{2}\right)} a^{3}}{6 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(B d^{2} + 2 \, A d e\right)} a^{2}}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} {\left(2 \, B d e + A e^{2}\right)} x}{8 \, b^{2}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} {\left(2 \, B d e + A e^{2}\right)} a}{56 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} {\left(B d^{2} + 2 \, A d e\right)}}{7 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*d^2*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3*e^2*x/b^3 + 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*e^2*x^2/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*d^2/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^4*e^2/b^4 - 11/72*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*e^2*x/b^3 + 83/504*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a^2*e^2/b^4 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(2*B*d*e + A*e^2)*a^2*x/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(B*d^2 + 2*A*d*e)*a*x/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(2*B*d*e + A*e^2)*a^3/b^3 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(B*d^2 + 2*A*d*e)*a^2/b^2 + 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*(2*B*d*e + A*e^2)*x/b^2 - 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*(2*B*d*e + A*e^2)*a/b^3 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*(B*d^2 + 2*A*d*e)/b^2","B",0
1743,1,254,0,0.568443," ","integrate((B*x+A)*(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}} A d x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2} e x}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a d}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{3} e}{6 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(B d + A e\right)} a x}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B e x}{8 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(B d + A e\right)} a^{2}}{6 \, b^{2}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B a e}{56 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} {\left(B d + A e\right)}}{7 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*d*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2*e*x/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a*d/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^3*e/b^3 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(B*d + A*e)*a*x/b + 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*e*x/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(B*d + A*e)*a^2/b^2 - 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B*a*e/b^3 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*(B*d + A*e)/b^2","B",0
1744,1,125,0,0.566375," ","integrate((B*x+A)*(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}} A x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a x}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} B a^{2}}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} A a}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} B}{7 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a*x/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*B*a^2/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*A*a/b + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*B/b^2","B",0
1745,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1746,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1747,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1748,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1749,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1750,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1751,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1752,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1753,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1754,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1755,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1756,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1757,-2,0,0,0.000000," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^13,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception 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
1758,-2,0,0,0.000000," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^14,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception 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
1759,1,438,0,0.575578," ","integrate((B*x+A)*(e*x+d)^3/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B e^{3} x^{3}}{4 \, b^{2}} + \frac{13 \, B a^{2} e^{3} x^{2}}{12 \, b^{3}} - \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a e^{3} x^{2}}{12 \, b^{3}} - \frac{13 \, B a^{3} e^{3} x}{6 \, b^{4}} + \frac{A d^{3} \log\left(x + \frac{a}{b}\right)}{b} + \frac{B a^{4} e^{3} \log\left(x + \frac{a}{b}\right)}{b^{5}} + \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{3} e^{3}}{6 \, b^{5}} - \frac{5 \, {\left(3 \, B d e^{2} + A e^{3}\right)} a x^{2}}{6 \, b^{2}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} x^{2}}{2 \, b} + \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} x^{2}}{3 \, b^{2}} + \frac{5 \, {\left(3 \, B d e^{2} + A e^{3}\right)} a^{2} x}{3 \, b^{3}} - \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} a x}{b^{2}} - \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} a^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} a^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} a \log\left(x + \frac{a}{b}\right)}{b^{2}} - \frac{2 \, {\left(3 \, B d e^{2} + A e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{3 \, b^{4}} + \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}{b^{2}}"," ",0,"1/4*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*e^3*x^3/b^2 + 13/12*B*a^2*e^3*x^2/b^3 - 7/12*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a*e^3*x^2/b^3 - 13/6*B*a^3*e^3*x/b^4 + A*d^3*log(x + a/b)/b + B*a^4*e^3*log(x + a/b)/b^5 + 7/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^3*e^3/b^5 - 5/6*(3*B*d*e^2 + A*e^3)*a*x^2/b^2 + 3/2*(B*d^2*e + A*d*e^2)*x^2/b + 1/3*(3*B*d*e^2 + A*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*x^2/b^2 + 5/3*(3*B*d*e^2 + A*e^3)*a^2*x/b^3 - 3*(B*d^2*e + A*d*e^2)*a*x/b^2 - (3*B*d*e^2 + A*e^3)*a^3*log(x + a/b)/b^4 + 3*(B*d^2*e + A*d*e^2)*a^2*log(x + a/b)/b^3 - (B*d^3 + 3*A*d^2*e)*a*log(x + a/b)/b^2 - 2/3*(3*B*d*e^2 + A*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^4 + (B*d^3 + 3*A*d^2*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)/b^2","B",0
1760,1,244,0,0.624273," ","integrate((B*x+A)*(e*x+d)^2/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{5 \, B a e^{2} x^{2}}{6 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B e^{2} x^{2}}{3 \, b^{2}} + \frac{5 \, B a^{2} e^{2} x}{3 \, b^{3}} + \frac{A d^{2} \log\left(x + \frac{a}{b}\right)}{b} - \frac{B a^{3} e^{2} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{{\left(2 \, B d e + A e^{2}\right)} x^{2}}{2 \, b} - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B a^{2} e^{2}}{3 \, b^{4}} - \frac{{\left(2 \, B d e + A e^{2}\right)} a x}{b^{2}} + \frac{{\left(2 \, B d e + A e^{2}\right)} a^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{{\left(B d^{2} + 2 \, A d e\right)} a \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(B d^{2} + 2 \, A d e\right)}}{b^{2}}"," ",0,"-5/6*B*a*e^2*x^2/b^2 + 1/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*e^2*x^2/b^2 + 5/3*B*a^2*e^2*x/b^3 + A*d^2*log(x + a/b)/b - B*a^3*e^2*log(x + a/b)/b^4 + 1/2*(2*B*d*e + A*e^2)*x^2/b - 2/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*B*a^2*e^2/b^4 - (2*B*d*e + A*e^2)*a*x/b^2 + (2*B*d*e + A*e^2)*a^2*log(x + a/b)/b^3 - (B*d^2 + 2*A*d*e)*a*log(x + a/b)/b^2 + sqrt(b^2*x^2 + 2*a*b*x + a^2)*(B*d^2 + 2*A*d*e)/b^2","A",0
1761,1,101,0,0.493866," ","integrate((B*x+A)*(e*x+d)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{B e x^{2}}{2 \, b} - \frac{B a e x}{b^{2}} + \frac{A d \log\left(x + \frac{a}{b}\right)}{b} + \frac{B a^{2} e \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{{\left(B d + A e\right)} a \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(B d + A e\right)}}{b^{2}}"," ",0,"1/2*B*e*x^2/b - B*a*e*x/b^2 + A*d*log(x + a/b)/b + B*a^2*e*log(x + a/b)/b^3 - (B*d + A*e)*a*log(x + a/b)/b^2 + sqrt(b^2*x^2 + 2*a*b*x + a^2)*(B*d + A*e)/b^2","A",0
1762,1,52,0,0.564078," ","integrate((B*x+A)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{B a \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{A \log\left(x + \frac{a}{b}\right)}{b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} B}{b^{2}}"," ",0,"-B*a*log(x + a/b)/b^2 + A*log(x + a/b)/b + sqrt(b^2*x^2 + 2*a*b*x + a^2)*B/b^2","A",0
1763,-2,0,0,0.000000," ","integrate((B*x+A)/(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(((2*a*b)/e>0)', see `assume?` for more details)Is ((2*a*b)/e    -(2*b^2*d)/e^2)    ^2    -(4*b^2       *((-(2*a*b*d)/e)        +(b^2*d^2)/e^2+a^2))     /e^2 zero or nonzero?","F(-2)",0
1764,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1765,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1766,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1767,1,761,0,0.533948," ","integrate((B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{B e^{4} x^{4}}{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{7 \, B a e^{4} x^{3}}{6 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} + \frac{9 \, B a^{2} e^{4} x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{10 \, B a^{3} e^{4} \log\left(x + \frac{a}{b}\right)}{b^{6}} + \frac{9 \, B a^{4} e^{4}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{6}} + \frac{{\left(4 \, B d e^{3} + A e^{4}\right)} x^{3}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{20 \, B a^{4} e^{4} x}{b^{7} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{5 \, {\left(4 \, B d e^{3} + A e^{4}\right)} a x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} + \frac{2 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{A d^{4}}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{39 \, B a^{5} e^{4}}{2 \, b^{8} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{6 \, {\left(4 \, B d e^{3} + A e^{4}\right)} a^{2} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{6 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} a \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{2 \, {\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{5 \, {\left(4 \, B d e^{3} + A e^{4}\right)} a^{3}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}} + \frac{4 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} a^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{B d^{4} + 4 \, A d^{3} e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{12 \, {\left(4 \, B d e^{3} + A e^{4}\right)} a^{3} x}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{12 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} a^{2} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{4 \, {\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} a x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{23 \, {\left(4 \, B d e^{3} + A e^{4}\right)} a^{4}}{2 \, b^{7} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, {\left(3 \, B d^{2} e^{2} + 2 \, A d e^{3}\right)} a^{3}}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, {\left(2 \, B d^{3} e + 3 \, A d^{2} e^{2}\right)} a^{2}}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(B d^{4} + 4 \, A d^{3} e\right)} a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"1/3*B*e^4*x^4/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 7/6*B*a*e^4*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) + 9/2*B*a^2*e^4*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - 10*B*a^3*e^4*log(x + a/b)/b^6 + 9*B*a^4*e^4/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^6) + 1/2*(4*B*d*e^3 + A*e^4)*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 20*B*a^4*e^4*x/(b^7*(x + a/b)^2) - 5/2*(4*B*d*e^3 + A*e^4)*a*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) + 2*(3*B*d^2*e^2 + 2*A*d*e^3)*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 1/2*A*d^4/(b^3*(x + a/b)^2) - 39/2*B*a^5*e^4/(b^8*(x + a/b)^2) + 6*(4*B*d*e^3 + A*e^4)*a^2*log(x + a/b)/b^5 - 6*(3*B*d^2*e^2 + 2*A*d*e^3)*a*log(x + a/b)/b^4 + 2*(2*B*d^3*e + 3*A*d^2*e^2)*log(x + a/b)/b^3 - 5*(4*B*d*e^3 + A*e^4)*a^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5) + 4*(3*B*d^2*e^2 + 2*A*d*e^3)*a^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - (B*d^4 + 4*A*d^3*e)/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 12*(4*B*d*e^3 + A*e^4)*a^3*x/(b^6*(x + a/b)^2) - 12*(3*B*d^2*e^2 + 2*A*d*e^3)*a^2*x/(b^5*(x + a/b)^2) + 4*(2*B*d^3*e + 3*A*d^2*e^2)*a*x/(b^4*(x + a/b)^2) + 23/2*(4*B*d*e^3 + A*e^4)*a^4/(b^7*(x + a/b)^2) - 11*(3*B*d^2*e^2 + 2*A*d*e^3)*a^3/(b^6*(x + a/b)^2) + 3*(2*B*d^3*e + 3*A*d^2*e^2)*a^2/(b^5*(x + a/b)^2) + 1/2*(B*d^4 + 4*A*d^3*e)*a/(b^4*(x + a/b)^2)","B",0
1768,1,487,0,0.510654," ","integrate((B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{B e^{3} x^{3}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{5 \, B a e^{3} x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} + \frac{6 \, B a^{2} e^{3} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{5 \, B a^{3} e^{3}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}} + \frac{{\left(3 \, B d e^{2} + A e^{3}\right)} x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{12 \, B a^{3} e^{3} x}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{A d^{3}}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{23 \, B a^{4} e^{3}}{2 \, b^{7} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{3 \, {\left(3 \, B d e^{2} + A e^{3}\right)} a \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{3 \, {\left(B d^{2} e + A d e^{2}\right)} \log\left(x + \frac{a}{b}\right)}{b^{3}} + \frac{2 \, {\left(3 \, B d e^{2} + A e^{3}\right)} a^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{B d^{3} + 3 \, A d^{2} e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{6 \, {\left(3 \, B d e^{2} + A e^{3}\right)} a^{2} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{6 \, {\left(B d^{2} e + A d e^{2}\right)} a x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, {\left(3 \, B d e^{2} + A e^{3}\right)} a^{3}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{9 \, {\left(B d^{2} e + A d e^{2}\right)} a^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(B d^{3} + 3 \, A d^{2} e\right)} a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"1/2*B*e^3*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 5/2*B*a*e^3*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) + 6*B*a^2*e^3*log(x + a/b)/b^5 - 5*B*a^3*e^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5) + (3*B*d*e^2 + A*e^3)*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 12*B*a^3*e^3*x/(b^6*(x + a/b)^2) - 1/2*A*d^3/(b^3*(x + a/b)^2) + 23/2*B*a^4*e^3/(b^7*(x + a/b)^2) - 3*(3*B*d*e^2 + A*e^3)*a*log(x + a/b)/b^4 + 3*(B*d^2*e + A*d*e^2)*log(x + a/b)/b^3 + 2*(3*B*d*e^2 + A*e^3)*a^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - (B*d^3 + 3*A*d^2*e)/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 6*(3*B*d*e^2 + A*e^3)*a^2*x/(b^5*(x + a/b)^2) + 6*(B*d^2*e + A*d*e^2)*a*x/(b^4*(x + a/b)^2) - 11/2*(3*B*d*e^2 + A*e^3)*a^3/(b^6*(x + a/b)^2) + 9/2*(B*d^2*e + A*d*e^2)*a^2/(b^5*(x + a/b)^2) + 1/2*(B*d^3 + 3*A*d^2*e)*a/(b^4*(x + a/b)^2)","B",0
1769,1,277,0,0.604595," ","integrate((B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{B e^{2} x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{3 \, B a e^{2} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{2 \, B a^{2} e^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{6 \, B a^{2} e^{2} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(2 \, B d e + A e^{2}\right)} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{B d^{2} + 2 \, A d e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{A d^{2}}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, B a^{3} e^{2}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, {\left(2 \, B d e + A e^{2}\right)} a x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, {\left(2 \, B d e + A e^{2}\right)} a^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(B d^{2} + 2 \, A d e\right)} a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"B*e^2*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 3*B*a*e^2*log(x + a/b)/b^4 + 2*B*a^2*e^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - 6*B*a^2*e^2*x/(b^5*(x + a/b)^2) + (2*B*d*e + A*e^2)*log(x + a/b)/b^3 - (B*d^2 + 2*A*d*e)/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 1/2*A*d^2/(b^3*(x + a/b)^2) - 11/2*B*a^3*e^2/(b^6*(x + a/b)^2) + 2*(2*B*d*e + A*e^2)*a*x/(b^4*(x + a/b)^2) + 3/2*(2*B*d*e + A*e^2)*a^2/(b^5*(x + a/b)^2) + 1/2*(B*d^2 + 2*A*d*e)*a/(b^4*(x + a/b)^2)","A",0
1770,1,120,0,0.573869," ","integrate((B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{B e \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{B d + A e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{2 \, B a e x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{A d}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, B a^{2} e}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(B d + A e\right)} a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"B*e*log(x + a/b)/b^3 - (B*d + A*e)/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 2*B*a*e*x/(b^4*(x + a/b)^2) - 1/2*A*d/(b^3*(x + a/b)^2) + 3/2*B*a^2*e/(b^5*(x + a/b)^2) + 1/2*(B*d + A*e)*a/(b^4*(x + a/b)^2)","A",0
1771,1,56,0,0.591993," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{B}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{B a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{A}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-B/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 1/2*B*a/(b^4*(x + a/b)^2) - 1/2*A/(b^3*(x + a/b)^2)","A",0
1772,-2,0,0,0.000000," ","integrate((B*x+A)/(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(((2*a*b)/e>0)', see `assume?` for more details)Is ((2*a*b)/e    -(2*b^2*d)/e^2)    ^2    -(4*b^2       *((-(2*a*b*d)/e)        +(b^2*d^2)/e^2+a^2))     /e^2 zero or nonzero?","F(-2)",0
1773,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1774,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1775,1,1010,0,1.188706," ","integrate((B*x+A)*(e*x+d)^5/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{4} \, B e^{5} {\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{5}{12} \, B d e^{4} {\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{1}{12} \, A 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}{6} \, B d^{2} e^{3} {\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}{12} \, A 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} \, B d^{3} e^{2} {\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}{6} \, A 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{1}{12} \, B d^{5} {\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}{12} \, A 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}{12} \, B d^{4} e {\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{5}{6} \, A 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{A d^{5}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"1/4*B*e^5*((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) + 5/12*B*d*e^4*((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) + 1/12*A*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) + 5/6*B*d^2*e^3*((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) + 5/12*A*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*B*d^3*e^2*(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)) - 5/6*A*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)) - 1/12*B*d^5*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 5/12*A*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)) - 5/12*B*d^4*e*(6/(b^5*(x + a/b)^2) - 8*a/(b^6*(x + a/b)^3) + 3*a^2/(b^7*(x + a/b)^4)) - 5/6*A*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*A*d^5/(b^5*(x + a/b)^4)","B",0
1776,1,755,0,0.946203," ","integrate((B*x+A)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{12} \, B e^{4} {\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{1}{3} \, B d e^{3} {\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}{12} \, A 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}{2} \, B d^{2} e^{2} {\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} \, A 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}{12} \, B d^{4} {\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}{3} \, A 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}{3} \, B d^{3} e {\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{1}{2} \, A 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{A d^{4}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"1/12*B*e^4*((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) + 1/3*B*d*e^3*((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) + 1/12*A*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) - 1/2*B*d^2*e^2*(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*A*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)) - 1/12*B*d^4*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 1/3*A*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)) - 1/3*B*d^3*e*(6/(b^5*(x + a/b)^2) - 8*a/(b^6*(x + a/b)^3) + 3*a^2/(b^7*(x + a/b)^4)) - 1/2*A*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*A*d^4/(b^5*(x + a/b)^4)","B",0
1777,1,533,0,0.673163," ","integrate((B*x+A)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{12} \, B e^{3} {\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}{4} \, B d e^{2} {\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}{12} \, A 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}{12} \, B d^{3} {\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}{4} \, A d^{2} 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}{4} \, B d^{2} e {\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{1}{4} \, A d 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{A d^{3}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"1/12*B*e^3*((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) - 1/4*B*d*e^2*(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)) - 1/12*A*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)) - 1/12*B*d^3*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 1/4*A*d^2*e*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 1/4*B*d^2*e*(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*A*d*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*A*d^3/(b^5*(x + a/b)^4)","B",0
1778,1,279,0,0.630053," ","integrate((B*x+A)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{B e^{2} x^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{2 \, B a^{2} e^{2}}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{4}} - \frac{B d^{2} + 2 \, A d e}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{B a e^{2}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, B a^{2} e^{2}}{3 \, b^{7} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{A d^{2}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{B a^{3} e^{2}}{4 \, b^{8} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{2 \, B d e + A e^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, {\left(2 \, B d e + A e^{2}\right)} a}{3 \, b^{6} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{{\left(2 \, B d e + A e^{2}\right)} a^{2}}{4 \, b^{7} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{{\left(B d^{2} + 2 \, A d e\right)} a}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-B*e^2*x^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 2/3*B*a^2*e^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^4) - 1/3*(B*d^2 + 2*A*d*e)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 1/2*B*a*e^2/(b^6*(x + a/b)^2) + 2/3*B*a^2*e^2/(b^7*(x + a/b)^3) - 1/4*A*d^2/(b^5*(x + a/b)^4) + 1/4*B*a^3*e^2/(b^8*(x + a/b)^4) - 1/2*(2*B*d*e + A*e^2)/(b^5*(x + a/b)^2) + 2/3*(2*B*d*e + A*e^2)*a/(b^6*(x + a/b)^3) - 1/4*(2*B*d*e + A*e^2)*a^2/(b^7*(x + a/b)^4) + 1/4*(B*d^2 + 2*A*d*e)*a/(b^6*(x + a/b)^4)","B",0
1779,1,121,0,0.677437," ","integrate((B*x+A)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{B d + A e}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{B e}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, B a e}{3 \, b^{6} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{A d}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{B a^{2} e}{4 \, b^{7} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{{\left(B d + A e\right)} a}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/3*(B*d + A*e)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 1/2*B*e/(b^5*(x + a/b)^2) + 2/3*B*a*e/(b^6*(x + a/b)^3) - 1/4*A*d/(b^5*(x + a/b)^4) - 1/4*B*a^2*e/(b^7*(x + a/b)^4) + 1/4*(B*d + A*e)*a/(b^6*(x + a/b)^4)","A",0
1780,1,56,0,0.558965," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{B}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} + \frac{B a}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{A}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/3*B/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) + 1/4*B*a/(b^6*(x + a/b)^4) - 1/4*A/(b^5*(x + a/b)^4)","A",0
1781,-2,0,0,0.000000," ","integrate((B*x+A)/(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(((2*a*b)/e>0)', see `assume?` for more details)Is ((2*a*b)/e    -(2*b^2*d)/e^2)    ^2    -(4*b^2       *((-(2*a*b*d)/e)        +(b^2*d^2)/e^2+a^2))     /e^2 zero or nonzero?","F(-2)",0
1782,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1783,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1784,1,159,0,0.537683," ","integrate((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(429 \, {\left(e x + d\right)}^{\frac{15}{2}} B b^{2} - 495 \, {\left(3 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 585 \, {\left(3 \, B b^{2} d^{2} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 715 \, {\left(B b^{2} d^{3} - A a^{2} e^{3} - {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{6435 \, e^{4}}"," ",0,"2/6435*(429*(e*x + d)^(15/2)*B*b^2 - 495*(3*B*b^2*d - (2*B*a*b + A*b^2)*e)*(e*x + d)^(13/2) + 585*(3*B*b^2*d^2 - 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*(e*x + d)^(11/2) - 715*(B*b^2*d^3 - A*a^2*e^3 - (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2)*(e*x + d)^(9/2))/e^4","A",0
1785,1,159,0,0.552845," ","integrate((B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(693 \, {\left(e x + d\right)}^{\frac{13}{2}} B b^{2} - 819 \, {\left(3 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 1001 \, {\left(3 \, B b^{2} d^{2} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 1287 \, {\left(B b^{2} d^{3} - A a^{2} e^{3} - {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{9009 \, e^{4}}"," ",0,"2/9009*(693*(e*x + d)^(13/2)*B*b^2 - 819*(3*B*b^2*d - (2*B*a*b + A*b^2)*e)*(e*x + d)^(11/2) + 1001*(3*B*b^2*d^2 - 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*(e*x + d)^(9/2) - 1287*(B*b^2*d^3 - A*a^2*e^3 - (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2)*(e*x + d)^(7/2))/e^4","A",0
1786,1,159,0,0.562823," ","integrate((B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(e x + d\right)}^{\frac{11}{2}} B b^{2} - 385 \, {\left(3 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(3 \, B b^{2} d^{2} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 693 \, {\left(B b^{2} d^{3} - A a^{2} e^{3} - {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{3465 \, e^{4}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*B*b^2 - 385*(3*B*b^2*d - (2*B*a*b + A*b^2)*e)*(e*x + d)^(9/2) + 495*(3*B*b^2*d^2 - 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*(e*x + d)^(7/2) - 693*(B*b^2*d^3 - A*a^2*e^3 - (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2)*(e*x + d)^(5/2))/e^4","A",0
1787,1,159,0,0.471051," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} B b^{2} - 45 \, {\left(3 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 63 \, {\left(3 \, B b^{2} d^{2} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 105 \, {\left(B b^{2} d^{3} - A a^{2} e^{3} - {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{315 \, e^{4}}"," ",0,"2/315*(35*(e*x + d)^(9/2)*B*b^2 - 45*(3*B*b^2*d - (2*B*a*b + A*b^2)*e)*(e*x + d)^(7/2) + 63*(3*B*b^2*d^2 - 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*(e*x + d)^(5/2) - 105*(B*b^2*d^3 - A*a^2*e^3 - (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2)*(e*x + d)^(3/2))/e^4","A",0
1788,1,159,0,0.544219," ","integrate((B*x+A)*(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 b^{2} - 21 \, {\left(3 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(3 \, B b^{2} d^{2} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 105 \, {\left(B b^{2} d^{3} - A a^{2} e^{3} - {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2}\right)} \sqrt{e x + d}\right)}}{105 \, e^{4}}"," ",0,"2/105*(15*(e*x + d)^(7/2)*B*b^2 - 21*(3*B*b^2*d - (2*B*a*b + A*b^2)*e)*(e*x + d)^(5/2) + 35*(3*B*b^2*d^2 - 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*(e*x + d)^(3/2) - 105*(B*b^2*d^3 - A*a^2*e^3 - (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2)*sqrt(e*x + d))/e^4","A",0
1789,1,167,0,0.531287," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} B b^{2} - 5 \, {\left(3 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15 \, {\left(3 \, B b^{2} d^{2} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} \sqrt{e x + d}}{e^{3}} + \frac{15 \, {\left(B b^{2} d^{3} - A a^{2} e^{3} - {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2}\right)}}{\sqrt{e x + d} e^{3}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*B*b^2 - 5*(3*B*b^2*d - (2*B*a*b + A*b^2)*e)*(e*x + d)^(3/2) + 15*(3*B*b^2*d^2 - 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*sqrt(e*x + d))/e^3 + 15*(B*b^2*d^3 - A*a^2*e^3 - (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2)/(sqrt(e*x + d)*e^3))/e","A",0
1790,1,163,0,0.574684," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} B b^{2} - 3 \, {\left(3 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} \sqrt{e x + d}}{e^{3}} + \frac{B b^{2} d^{3} - A a^{2} e^{3} - {\left(2 \, B a b + A b^{2}\right)} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d e^{2} - 3 \, {\left(3 \, B b^{2} d^{2} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\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)*B*b^2 - 3*(3*B*b^2*d - (2*B*a*b + A*b^2)*e)*sqrt(e*x + d))/e^3 + (B*b^2*d^3 - A*a^2*e^3 - (2*B*a*b + A*b^2)*d^2*e + (B*a^2 + 2*A*a*b)*d*e^2 - 3*(3*B*b^2*d^2 - 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*(e*x + d))/((e*x + d)^(3/2)*e^3))/e","A",0
1791,1,164,0,0.643895," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, \sqrt{e x + d} B b^{2}}{e^{3}} + \frac{3 \, B b^{2} d^{3} - 3 \, A a^{2} e^{3} - 3 \, {\left(2 \, B a b + A b^{2}\right)} d^{2} e + 3 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{2} + 15 \, {\left(3 \, B b^{2} d - {\left(2 \, B a b + A b^{2}\right)} e\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(3 \, B b^{2} d^{2} - 2 \, {\left(2 \, B a b + A b^{2}\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{3}}\right)}}{15 \, e}"," ",0,"2/15*(15*sqrt(e*x + d)*B*b^2/e^3 + (3*B*b^2*d^3 - 3*A*a^2*e^3 - 3*(2*B*a*b + A*b^2)*d^2*e + 3*(B*a^2 + 2*A*a*b)*d*e^2 + 15*(3*B*b^2*d - (2*B*a*b + A*b^2)*e)*(e*x + d)^2 - 5*(3*B*b^2*d^2 - 2*(2*B*a*b + A*b^2)*d*e + (B*a^2 + 2*A*a*b)*e^2)*(e*x + d))/((e*x + d)^(5/2)*e^3))/e","A",0
1792,1,409,0,0.741128," ","integrate((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(109395 \, {\left(e x + d\right)}^{\frac{19}{2}} B b^{4} - 122265 \, {\left(5 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 277134 \, {\left(5 \, B b^{4} d^{2} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 319770 \, {\left(5 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 188955 \, {\left(5 \, B b^{4} d^{4} - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 230945 \, {\left(B b^{4} d^{5} - A a^{4} e^{5} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{2078505 \, e^{6}}"," ",0,"2/2078505*(109395*(e*x + d)^(19/2)*B*b^4 - 122265*(5*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*(e*x + d)^(17/2) + 277134*(5*B*b^4*d^2 - 2*(4*B*a*b^3 + A*b^4)*d*e + (3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*(e*x + d)^(15/2) - 319770*(5*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - (2*B*a^3*b + 3*A*a^2*b^2)*e^3)*(e*x + d)^(13/2) + 188955*(5*B*b^4*d^4 - 4*(4*B*a*b^3 + A*b^4)*d^3*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*(e*x + d)^(11/2) - 230945*(B*b^4*d^5 - A*a^4*e^5 - (4*B*a*b^3 + A*b^4)*d^4*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4)*(e*x + d)^(9/2))/e^6","B",0
1793,1,409,0,0.596054," ","integrate((B*x+A)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(45045 \, {\left(e x + d\right)}^{\frac{17}{2}} B b^{4} - 51051 \, {\left(5 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 117810 \, {\left(5 \, B b^{4} d^{2} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 139230 \, {\left(5 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 85085 \, {\left(5 \, B b^{4} d^{4} - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 109395 \, {\left(B b^{4} d^{5} - A a^{4} e^{5} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{765765 \, e^{6}}"," ",0,"2/765765*(45045*(e*x + d)^(17/2)*B*b^4 - 51051*(5*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*(e*x + d)^(15/2) + 117810*(5*B*b^4*d^2 - 2*(4*B*a*b^3 + A*b^4)*d*e + (3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*(e*x + d)^(13/2) - 139230*(5*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - (2*B*a^3*b + 3*A*a^2*b^2)*e^3)*(e*x + d)^(11/2) + 85085*(5*B*b^4*d^4 - 4*(4*B*a*b^3 + A*b^4)*d^3*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*(e*x + d)^(9/2) - 109395*(B*b^4*d^5 - A*a^4*e^5 - (4*B*a*b^3 + A*b^4)*d^4*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4)*(e*x + d)^(7/2))/e^6","B",0
1794,1,409,0,0.499358," ","integrate((B*x+A)*(e*x+d)^(3/2)*(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 b^{4} - 3465 \, {\left(5 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 8190 \, {\left(5 \, B b^{4} d^{2} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 10010 \, {\left(5 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 6435 \, {\left(5 \, B b^{4} d^{4} - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 9009 \, {\left(B b^{4} d^{5} - A a^{4} e^{5} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{45045 \, e^{6}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*B*b^4 - 3465*(5*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*(e*x + d)^(13/2) + 8190*(5*B*b^4*d^2 - 2*(4*B*a*b^3 + A*b^4)*d*e + (3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*(e*x + d)^(11/2) - 10010*(5*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - (2*B*a^3*b + 3*A*a^2*b^2)*e^3)*(e*x + d)^(9/2) + 6435*(5*B*b^4*d^4 - 4*(4*B*a*b^3 + A*b^4)*d^3*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*(e*x + d)^(7/2) - 9009*(B*b^4*d^5 - A*a^4*e^5 - (4*B*a*b^3 + A*b^4)*d^4*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4)*(e*x + d)^(5/2))/e^6","B",0
1795,1,409,0,0.528909," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3465 \, {\left(e x + d\right)}^{\frac{13}{2}} B b^{4} - 4095 \, {\left(5 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 10010 \, {\left(5 \, B b^{4} d^{2} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 12870 \, {\left(5 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 9009 \, {\left(5 \, B b^{4} d^{4} - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 15015 \, {\left(B b^{4} d^{5} - A a^{4} e^{5} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{45045 \, e^{6}}"," ",0,"2/45045*(3465*(e*x + d)^(13/2)*B*b^4 - 4095*(5*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*(e*x + d)^(11/2) + 10010*(5*B*b^4*d^2 - 2*(4*B*a*b^3 + A*b^4)*d*e + (3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*(e*x + d)^(9/2) - 12870*(5*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - (2*B*a^3*b + 3*A*a^2*b^2)*e^3)*(e*x + d)^(7/2) + 9009*(5*B*b^4*d^4 - 4*(4*B*a*b^3 + A*b^4)*d^3*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*(e*x + d)^(5/2) - 15015*(B*b^4*d^5 - A*a^4*e^5 - (4*B*a*b^3 + A*b^4)*d^4*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4)*(e*x + d)^(3/2))/e^6","B",0
1796,1,409,0,0.602641," ","integrate((B*x+A)*(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 b^{4} - 385 \, {\left(5 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 990 \, {\left(5 \, B b^{4} d^{2} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 1386 \, {\left(5 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(5 \, B b^{4} d^{4} - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 3465 \, {\left(B b^{4} d^{5} - A a^{4} e^{5} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4}\right)} \sqrt{e x + d}\right)}}{3465 \, e^{6}}"," ",0,"2/3465*(315*(e*x + d)^(11/2)*B*b^4 - 385*(5*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*(e*x + d)^(9/2) + 990*(5*B*b^4*d^2 - 2*(4*B*a*b^3 + A*b^4)*d*e + (3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*(e*x + d)^(7/2) - 1386*(5*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - (2*B*a^3*b + 3*A*a^2*b^2)*e^3)*(e*x + d)^(5/2) + 1155*(5*B*b^4*d^4 - 4*(4*B*a*b^3 + A*b^4)*d^3*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*(e*x + d)^(3/2) - 3465*(B*b^4*d^5 - A*a^4*e^5 - (4*B*a*b^3 + A*b^4)*d^4*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4)*sqrt(e*x + d))/e^6","B",0
1797,1,417,0,0.618119," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}} B b^{4} - 45 \, {\left(5 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 126 \, {\left(5 \, B b^{4} d^{2} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 210 \, {\left(5 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 315 \, {\left(5 \, B b^{4} d^{4} - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} \sqrt{e x + d}}{e^{5}} + \frac{315 \, {\left(B b^{4} d^{5} - A a^{4} e^{5} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4}\right)}}{\sqrt{e x + d} e^{5}}\right)}}{315 \, e}"," ",0,"2/315*((35*(e*x + d)^(9/2)*B*b^4 - 45*(5*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*(e*x + d)^(7/2) + 126*(5*B*b^4*d^2 - 2*(4*B*a*b^3 + A*b^4)*d*e + (3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*(e*x + d)^(5/2) - 210*(5*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - (2*B*a^3*b + 3*A*a^2*b^2)*e^3)*(e*x + d)^(3/2) + 315*(5*B*b^4*d^4 - 4*(4*B*a*b^3 + A*b^4)*d^3*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*sqrt(e*x + d))/e^5 + 315*(B*b^4*d^5 - A*a^4*e^5 - (4*B*a*b^3 + A*b^4)*d^4*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4)/(sqrt(e*x + d)*e^5))/e","B",0
1798,1,415,0,0.612980," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(e x + d\right)}^{\frac{7}{2}} B b^{4} - 21 \, {\left(5 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 70 \, {\left(5 \, B b^{4} d^{2} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 210 \, {\left(5 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} \sqrt{e x + d}}{e^{5}} + \frac{35 \, {\left(B b^{4} d^{5} - A a^{4} e^{5} - {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} - 3 \, {\left(5 \, B b^{4} d^{4} - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{5}}\right)}}{105 \, e}"," ",0,"2/105*((15*(e*x + d)^(7/2)*B*b^4 - 21*(5*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*(e*x + d)^(5/2) + 70*(5*B*b^4*d^2 - 2*(4*B*a*b^3 + A*b^4)*d*e + (3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*(e*x + d)^(3/2) - 210*(5*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - (2*B*a^3*b + 3*A*a^2*b^2)*e^3)*sqrt(e*x + d))/e^5 + 35*(B*b^4*d^5 - A*a^4*e^5 - (4*B*a*b^3 + A*b^4)*d^4*e + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 2*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + (B*a^4 + 4*A*a^3*b)*d*e^4 - 3*(5*B*b^4*d^4 - 4*(4*B*a*b^3 + A*b^4)*d^3*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*(e*x + d))/((e*x + d)^(3/2)*e^5))/e","B",0
1799,1,416,0,0.654384," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} B b^{4} - 5 \, {\left(5 \, B b^{4} d - {\left(4 \, B a b^{3} + A b^{4}\right)} e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 30 \, {\left(5 \, B b^{4} d^{2} - 2 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d e + {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} e^{2}\right)} \sqrt{e x + d}}{e^{5}} + \frac{3 \, B b^{4} d^{5} - 3 \, A a^{4} e^{5} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{4} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{3} e^{2} - 6 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d^{2} e^{3} + 3 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} d e^{4} + 30 \, {\left(5 \, B b^{4} d^{3} - 3 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{2} e + 3 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d e^{2} - {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} e^{3}\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(5 \, B b^{4} d^{4} - 4 \, {\left(4 \, B a b^{3} + A b^{4}\right)} d^{3} e + 6 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} d^{2} e^{2} - 4 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} d e^{3} + {\left(B a^{4} + 4 \, A a^{3} b\right)} e^{4}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{5}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*B*b^4 - 5*(5*B*b^4*d - (4*B*a*b^3 + A*b^4)*e)*(e*x + d)^(3/2) + 30*(5*B*b^4*d^2 - 2*(4*B*a*b^3 + A*b^4)*d*e + (3*B*a^2*b^2 + 2*A*a*b^3)*e^2)*sqrt(e*x + d))/e^5 + (3*B*b^4*d^5 - 3*A*a^4*e^5 - 3*(4*B*a*b^3 + A*b^4)*d^4*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^3*e^2 - 6*(2*B*a^3*b + 3*A*a^2*b^2)*d^2*e^3 + 3*(B*a^4 + 4*A*a^3*b)*d*e^4 + 30*(5*B*b^4*d^3 - 3*(4*B*a*b^3 + A*b^4)*d^2*e + 3*(3*B*a^2*b^2 + 2*A*a*b^3)*d*e^2 - (2*B*a^3*b + 3*A*a^2*b^2)*e^3)*(e*x + d)^2 - 5*(5*B*b^4*d^4 - 4*(4*B*a*b^3 + A*b^4)*d^3*e + 6*(3*B*a^2*b^2 + 2*A*a*b^3)*d^2*e^2 - 4*(2*B*a^3*b + 3*A*a^2*b^2)*d*e^3 + (B*a^4 + 4*A*a^3*b)*e^4)*(e*x + d))/((e*x + d)^(5/2)*e^5))/e","B",0
1800,1,767,0,0.641357," ","integrate((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(2909907 \, {\left(e x + d\right)}^{\frac{23}{2}} B b^{6} - 3187041 \, {\left(7 \, B b^{6} d - {\left(6 \, B a b^{5} + A b^{6}\right)} e\right)} {\left(e x + d\right)}^{\frac{21}{2}} + 10567557 \, {\left(7 \, B b^{6} d^{2} - 2 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d e + {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{19}{2}} - 19684665 \, {\left(7 \, B b^{6} d^{3} - 3 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{2} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d e^{2} - {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 22309287 \, {\left(7 \, B b^{6} d^{4} - 4 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{3} e + 6 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{2} e^{2} - 4 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d e^{3} + {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 15444891 \, {\left(7 \, B b^{6} d^{5} - 5 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{4} e + 10 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{3} e^{2} - 10 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d e^{4} - {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} e^{5}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 6084351 \, {\left(7 \, B b^{6} d^{6} - 6 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{5} e + 15 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{4} e^{2} - 20 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{3} e^{3} + 15 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{2} e^{4} - 6 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} e^{6}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 7436429 \, {\left(B b^{6} d^{7} - A a^{6} e^{7} - {\left(6 \, B a b^{5} + A b^{6}\right)} d^{6} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{5} e^{2} - 5 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{4} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{3} e^{4} - 3 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d^{2} e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} d e^{6}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{66927861 \, e^{8}}"," ",0,"2/66927861*(2909907*(e*x + d)^(23/2)*B*b^6 - 3187041*(7*B*b^6*d - (6*B*a*b^5 + A*b^6)*e)*(e*x + d)^(21/2) + 10567557*(7*B*b^6*d^2 - 2*(6*B*a*b^5 + A*b^6)*d*e + (5*B*a^2*b^4 + 2*A*a*b^5)*e^2)*(e*x + d)^(19/2) - 19684665*(7*B*b^6*d^3 - 3*(6*B*a*b^5 + A*b^6)*d^2*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d*e^2 - (4*B*a^3*b^3 + 3*A*a^2*b^4)*e^3)*(e*x + d)^(17/2) + 22309287*(7*B*b^6*d^4 - 4*(6*B*a*b^5 + A*b^6)*d^3*e + 6*(5*B*a^2*b^4 + 2*A*a*b^5)*d^2*e^2 - 4*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d*e^3 + (3*B*a^4*b^2 + 4*A*a^3*b^3)*e^4)*(e*x + d)^(15/2) - 15444891*(7*B*b^6*d^5 - 5*(6*B*a*b^5 + A*b^6)*d^4*e + 10*(5*B*a^2*b^4 + 2*A*a*b^5)*d^3*e^2 - 10*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^2*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d*e^4 - (2*B*a^5*b + 5*A*a^4*b^2)*e^5)*(e*x + d)^(13/2) + 6084351*(7*B*b^6*d^6 - 6*(6*B*a*b^5 + A*b^6)*d^5*e + 15*(5*B*a^2*b^4 + 2*A*a*b^5)*d^4*e^2 - 20*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^3*e^3 + 15*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^2*e^4 - 6*(2*B*a^5*b + 5*A*a^4*b^2)*d*e^5 + (B*a^6 + 6*A*a^5*b)*e^6)*(e*x + d)^(11/2) - 7436429*(B*b^6*d^7 - A*a^6*e^7 - (6*B*a*b^5 + A*b^6)*d^6*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d^5*e^2 - 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^4*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^3*e^4 - 3*(2*B*a^5*b + 5*A*a^4*b^2)*d^2*e^5 + (B*a^6 + 6*A*a^5*b)*d*e^6)*(e*x + d)^(9/2))/e^8","B",0
1801,1,767,0,0.546169," ","integrate((B*x+A)*(e*x+d)^(5/2)*(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 b^{6} - 153153 \, {\left(7 \, B b^{6} d - {\left(6 \, B a b^{5} + A b^{6}\right)} e\right)} {\left(e x + d\right)}^{\frac{19}{2}} + 513513 \, {\left(7 \, B b^{6} d^{2} - 2 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d e + {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{17}{2}} - 969969 \, {\left(7 \, B b^{6} d^{3} - 3 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{2} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d e^{2} - {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 1119195 \, {\left(7 \, B b^{6} d^{4} - 4 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{3} e + 6 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{2} e^{2} - 4 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d e^{3} + {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 793611 \, {\left(7 \, B b^{6} d^{5} - 5 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{4} e + 10 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{3} e^{2} - 10 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d e^{4} - {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} e^{5}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 323323 \, {\left(7 \, B b^{6} d^{6} - 6 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{5} e + 15 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{4} e^{2} - 20 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{3} e^{3} + 15 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{2} e^{4} - 6 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} e^{6}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 415701 \, {\left(B b^{6} d^{7} - A a^{6} e^{7} - {\left(6 \, B a b^{5} + A b^{6}\right)} d^{6} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{5} e^{2} - 5 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{4} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{3} e^{4} - 3 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d^{2} e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} d e^{6}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{2909907 \, e^{8}}"," ",0,"2/2909907*(138567*(e*x + d)^(21/2)*B*b^6 - 153153*(7*B*b^6*d - (6*B*a*b^5 + A*b^6)*e)*(e*x + d)^(19/2) + 513513*(7*B*b^6*d^2 - 2*(6*B*a*b^5 + A*b^6)*d*e + (5*B*a^2*b^4 + 2*A*a*b^5)*e^2)*(e*x + d)^(17/2) - 969969*(7*B*b^6*d^3 - 3*(6*B*a*b^5 + A*b^6)*d^2*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d*e^2 - (4*B*a^3*b^3 + 3*A*a^2*b^4)*e^3)*(e*x + d)^(15/2) + 1119195*(7*B*b^6*d^4 - 4*(6*B*a*b^5 + A*b^6)*d^3*e + 6*(5*B*a^2*b^4 + 2*A*a*b^5)*d^2*e^2 - 4*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d*e^3 + (3*B*a^4*b^2 + 4*A*a^3*b^3)*e^4)*(e*x + d)^(13/2) - 793611*(7*B*b^6*d^5 - 5*(6*B*a*b^5 + A*b^6)*d^4*e + 10*(5*B*a^2*b^4 + 2*A*a*b^5)*d^3*e^2 - 10*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^2*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d*e^4 - (2*B*a^5*b + 5*A*a^4*b^2)*e^5)*(e*x + d)^(11/2) + 323323*(7*B*b^6*d^6 - 6*(6*B*a*b^5 + A*b^6)*d^5*e + 15*(5*B*a^2*b^4 + 2*A*a*b^5)*d^4*e^2 - 20*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^3*e^3 + 15*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^2*e^4 - 6*(2*B*a^5*b + 5*A*a^4*b^2)*d*e^5 + (B*a^6 + 6*A*a^5*b)*e^6)*(e*x + d)^(9/2) - 415701*(B*b^6*d^7 - A*a^6*e^7 - (6*B*a*b^5 + A*b^6)*d^6*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d^5*e^2 - 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^4*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^3*e^4 - 3*(2*B*a^5*b + 5*A*a^4*b^2)*d^2*e^5 + (B*a^6 + 6*A*a^5*b)*d*e^6)*(e*x + d)^(7/2))/e^8","B",0
1802,1,767,0,0.534764," ","integrate((B*x+A)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(255255 \, {\left(e x + d\right)}^{\frac{19}{2}} B b^{6} - 285285 \, {\left(7 \, B b^{6} d - {\left(6 \, B a b^{5} + A b^{6}\right)} e\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 969969 \, {\left(7 \, B b^{6} d^{2} - 2 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d e + {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 1865325 \, {\left(7 \, B b^{6} d^{3} - 3 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{2} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d e^{2} - {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 2204475 \, {\left(7 \, B b^{6} d^{4} - 4 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{3} e + 6 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{2} e^{2} - 4 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d e^{3} + {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 1616615 \, {\left(7 \, B b^{6} d^{5} - 5 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{4} e + 10 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{3} e^{2} - 10 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d e^{4} - {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} e^{5}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 692835 \, {\left(7 \, B b^{6} d^{6} - 6 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{5} e + 15 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{4} e^{2} - 20 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{3} e^{3} + 15 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{2} e^{4} - 6 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} e^{6}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 969969 \, {\left(B b^{6} d^{7} - A a^{6} e^{7} - {\left(6 \, B a b^{5} + A b^{6}\right)} d^{6} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{5} e^{2} - 5 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{4} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{3} e^{4} - 3 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d^{2} e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} d e^{6}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{4849845 \, e^{8}}"," ",0,"2/4849845*(255255*(e*x + d)^(19/2)*B*b^6 - 285285*(7*B*b^6*d - (6*B*a*b^5 + A*b^6)*e)*(e*x + d)^(17/2) + 969969*(7*B*b^6*d^2 - 2*(6*B*a*b^5 + A*b^6)*d*e + (5*B*a^2*b^4 + 2*A*a*b^5)*e^2)*(e*x + d)^(15/2) - 1865325*(7*B*b^6*d^3 - 3*(6*B*a*b^5 + A*b^6)*d^2*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d*e^2 - (4*B*a^3*b^3 + 3*A*a^2*b^4)*e^3)*(e*x + d)^(13/2) + 2204475*(7*B*b^6*d^4 - 4*(6*B*a*b^5 + A*b^6)*d^3*e + 6*(5*B*a^2*b^4 + 2*A*a*b^5)*d^2*e^2 - 4*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d*e^3 + (3*B*a^4*b^2 + 4*A*a^3*b^3)*e^4)*(e*x + d)^(11/2) - 1616615*(7*B*b^6*d^5 - 5*(6*B*a*b^5 + A*b^6)*d^4*e + 10*(5*B*a^2*b^4 + 2*A*a*b^5)*d^3*e^2 - 10*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^2*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d*e^4 - (2*B*a^5*b + 5*A*a^4*b^2)*e^5)*(e*x + d)^(9/2) + 692835*(7*B*b^6*d^6 - 6*(6*B*a*b^5 + A*b^6)*d^5*e + 15*(5*B*a^2*b^4 + 2*A*a*b^5)*d^4*e^2 - 20*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^3*e^3 + 15*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^2*e^4 - 6*(2*B*a^5*b + 5*A*a^4*b^2)*d*e^5 + (B*a^6 + 6*A*a^5*b)*e^6)*(e*x + d)^(7/2) - 969969*(B*b^6*d^7 - A*a^6*e^7 - (6*B*a*b^5 + A*b^6)*d^6*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d^5*e^2 - 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^4*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^3*e^4 - 3*(2*B*a^5*b + 5*A*a^4*b^2)*d^2*e^5 + (B*a^6 + 6*A*a^5*b)*d*e^6)*(e*x + d)^(5/2))/e^8","B",0
1803,1,767,0,0.653960," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(45045 \, {\left(e x + d\right)}^{\frac{17}{2}} B b^{6} - 51051 \, {\left(7 \, B b^{6} d - {\left(6 \, B a b^{5} + A b^{6}\right)} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 176715 \, {\left(7 \, B b^{6} d^{2} - 2 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d e + {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 348075 \, {\left(7 \, B b^{6} d^{3} - 3 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{2} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d e^{2} - {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 425425 \, {\left(7 \, B b^{6} d^{4} - 4 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{3} e + 6 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{2} e^{2} - 4 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d e^{3} + {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 328185 \, {\left(7 \, B b^{6} d^{5} - 5 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{4} e + 10 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{3} e^{2} - 10 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d e^{4} - {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} e^{5}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 153153 \, {\left(7 \, B b^{6} d^{6} - 6 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{5} e + 15 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{4} e^{2} - 20 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{3} e^{3} + 15 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{2} e^{4} - 6 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} e^{6}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 255255 \, {\left(B b^{6} d^{7} - A a^{6} e^{7} - {\left(6 \, B a b^{5} + A b^{6}\right)} d^{6} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{5} e^{2} - 5 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{4} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{3} e^{4} - 3 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d^{2} e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} d e^{6}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{765765 \, e^{8}}"," ",0,"2/765765*(45045*(e*x + d)^(17/2)*B*b^6 - 51051*(7*B*b^6*d - (6*B*a*b^5 + A*b^6)*e)*(e*x + d)^(15/2) + 176715*(7*B*b^6*d^2 - 2*(6*B*a*b^5 + A*b^6)*d*e + (5*B*a^2*b^4 + 2*A*a*b^5)*e^2)*(e*x + d)^(13/2) - 348075*(7*B*b^6*d^3 - 3*(6*B*a*b^5 + A*b^6)*d^2*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d*e^2 - (4*B*a^3*b^3 + 3*A*a^2*b^4)*e^3)*(e*x + d)^(11/2) + 425425*(7*B*b^6*d^4 - 4*(6*B*a*b^5 + A*b^6)*d^3*e + 6*(5*B*a^2*b^4 + 2*A*a*b^5)*d^2*e^2 - 4*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d*e^3 + (3*B*a^4*b^2 + 4*A*a^3*b^3)*e^4)*(e*x + d)^(9/2) - 328185*(7*B*b^6*d^5 - 5*(6*B*a*b^5 + A*b^6)*d^4*e + 10*(5*B*a^2*b^4 + 2*A*a*b^5)*d^3*e^2 - 10*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^2*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d*e^4 - (2*B*a^5*b + 5*A*a^4*b^2)*e^5)*(e*x + d)^(7/2) + 153153*(7*B*b^6*d^6 - 6*(6*B*a*b^5 + A*b^6)*d^5*e + 15*(5*B*a^2*b^4 + 2*A*a*b^5)*d^4*e^2 - 20*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^3*e^3 + 15*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^2*e^4 - 6*(2*B*a^5*b + 5*A*a^4*b^2)*d*e^5 + (B*a^6 + 6*A*a^5*b)*e^6)*(e*x + d)^(5/2) - 255255*(B*b^6*d^7 - A*a^6*e^7 - (6*B*a*b^5 + A*b^6)*d^6*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d^5*e^2 - 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^4*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^3*e^4 - 3*(2*B*a^5*b + 5*A*a^4*b^2)*d^2*e^5 + (B*a^6 + 6*A*a^5*b)*d*e^6)*(e*x + d)^(3/2))/e^8","B",0
1804,1,767,0,0.609568," ","integrate((B*x+A)*(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 b^{6} - 3465 \, {\left(7 \, B b^{6} d - {\left(6 \, B a b^{5} + A b^{6}\right)} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 12285 \, {\left(7 \, B b^{6} d^{2} - 2 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d e + {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 25025 \, {\left(7 \, B b^{6} d^{3} - 3 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{2} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d e^{2} - {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 32175 \, {\left(7 \, B b^{6} d^{4} - 4 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{3} e + 6 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{2} e^{2} - 4 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d e^{3} + {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 27027 \, {\left(7 \, B b^{6} d^{5} - 5 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{4} e + 10 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{3} e^{2} - 10 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d e^{4} - {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} e^{5}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 15015 \, {\left(7 \, B b^{6} d^{6} - 6 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{5} e + 15 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{4} e^{2} - 20 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{3} e^{3} + 15 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{2} e^{4} - 6 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} e^{6}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 45045 \, {\left(B b^{6} d^{7} - A a^{6} e^{7} - {\left(6 \, B a b^{5} + A b^{6}\right)} d^{6} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{5} e^{2} - 5 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{4} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{3} e^{4} - 3 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d^{2} e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} d e^{6}\right)} \sqrt{e x + d}\right)}}{45045 \, e^{8}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*B*b^6 - 3465*(7*B*b^6*d - (6*B*a*b^5 + A*b^6)*e)*(e*x + d)^(13/2) + 12285*(7*B*b^6*d^2 - 2*(6*B*a*b^5 + A*b^6)*d*e + (5*B*a^2*b^4 + 2*A*a*b^5)*e^2)*(e*x + d)^(11/2) - 25025*(7*B*b^6*d^3 - 3*(6*B*a*b^5 + A*b^6)*d^2*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d*e^2 - (4*B*a^3*b^3 + 3*A*a^2*b^4)*e^3)*(e*x + d)^(9/2) + 32175*(7*B*b^6*d^4 - 4*(6*B*a*b^5 + A*b^6)*d^3*e + 6*(5*B*a^2*b^4 + 2*A*a*b^5)*d^2*e^2 - 4*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d*e^3 + (3*B*a^4*b^2 + 4*A*a^3*b^3)*e^4)*(e*x + d)^(7/2) - 27027*(7*B*b^6*d^5 - 5*(6*B*a*b^5 + A*b^6)*d^4*e + 10*(5*B*a^2*b^4 + 2*A*a*b^5)*d^3*e^2 - 10*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^2*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d*e^4 - (2*B*a^5*b + 5*A*a^4*b^2)*e^5)*(e*x + d)^(5/2) + 15015*(7*B*b^6*d^6 - 6*(6*B*a*b^5 + A*b^6)*d^5*e + 15*(5*B*a^2*b^4 + 2*A*a*b^5)*d^4*e^2 - 20*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^3*e^3 + 15*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^2*e^4 - 6*(2*B*a^5*b + 5*A*a^4*b^2)*d*e^5 + (B*a^6 + 6*A*a^5*b)*e^6)*(e*x + d)^(3/2) - 45045*(B*b^6*d^7 - A*a^6*e^7 - (6*B*a*b^5 + A*b^6)*d^6*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d^5*e^2 - 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^4*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^3*e^4 - 3*(2*B*a^5*b + 5*A*a^4*b^2)*d^2*e^5 + (B*a^6 + 6*A*a^5*b)*d*e^6)*sqrt(e*x + d))/e^8","B",0
1805,1,775,0,0.768578," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{231 \, {\left(e x + d\right)}^{\frac{13}{2}} B b^{6} - 273 \, {\left(7 \, B b^{6} d - {\left(6 \, B a b^{5} + A b^{6}\right)} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 1001 \, {\left(7 \, B b^{6} d^{2} - 2 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d e + {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 2145 \, {\left(7 \, B b^{6} d^{3} - 3 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{2} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d e^{2} - {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 3003 \, {\left(7 \, B b^{6} d^{4} - 4 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{3} e + 6 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{2} e^{2} - 4 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d e^{3} + {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 3003 \, {\left(7 \, B b^{6} d^{5} - 5 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{4} e + 10 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{3} e^{2} - 10 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d e^{4} - {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} e^{5}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 3003 \, {\left(7 \, B b^{6} d^{6} - 6 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{5} e + 15 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{4} e^{2} - 20 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{3} e^{3} + 15 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{2} e^{4} - 6 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} e^{6}\right)} \sqrt{e x + d}}{e^{7}} + \frac{3003 \, {\left(B b^{6} d^{7} - A a^{6} e^{7} - {\left(6 \, B a b^{5} + A b^{6}\right)} d^{6} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{5} e^{2} - 5 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{4} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{3} e^{4} - 3 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d^{2} e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} d e^{6}\right)}}{\sqrt{e x + d} e^{7}}\right)}}{3003 \, e}"," ",0,"2/3003*((231*(e*x + d)^(13/2)*B*b^6 - 273*(7*B*b^6*d - (6*B*a*b^5 + A*b^6)*e)*(e*x + d)^(11/2) + 1001*(7*B*b^6*d^2 - 2*(6*B*a*b^5 + A*b^6)*d*e + (5*B*a^2*b^4 + 2*A*a*b^5)*e^2)*(e*x + d)^(9/2) - 2145*(7*B*b^6*d^3 - 3*(6*B*a*b^5 + A*b^6)*d^2*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d*e^2 - (4*B*a^3*b^3 + 3*A*a^2*b^4)*e^3)*(e*x + d)^(7/2) + 3003*(7*B*b^6*d^4 - 4*(6*B*a*b^5 + A*b^6)*d^3*e + 6*(5*B*a^2*b^4 + 2*A*a*b^5)*d^2*e^2 - 4*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d*e^3 + (3*B*a^4*b^2 + 4*A*a^3*b^3)*e^4)*(e*x + d)^(5/2) - 3003*(7*B*b^6*d^5 - 5*(6*B*a*b^5 + A*b^6)*d^4*e + 10*(5*B*a^2*b^4 + 2*A*a*b^5)*d^3*e^2 - 10*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^2*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d*e^4 - (2*B*a^5*b + 5*A*a^4*b^2)*e^5)*(e*x + d)^(3/2) + 3003*(7*B*b^6*d^6 - 6*(6*B*a*b^5 + A*b^6)*d^5*e + 15*(5*B*a^2*b^4 + 2*A*a*b^5)*d^4*e^2 - 20*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^3*e^3 + 15*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^2*e^4 - 6*(2*B*a^5*b + 5*A*a^4*b^2)*d*e^5 + (B*a^6 + 6*A*a^5*b)*e^6)*sqrt(e*x + d))/e^7 + 3003*(B*b^6*d^7 - A*a^6*e^7 - (6*B*a*b^5 + A*b^6)*d^6*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d^5*e^2 - 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^4*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^3*e^4 - 3*(2*B*a^5*b + 5*A*a^4*b^2)*d^2*e^5 + (B*a^6 + 6*A*a^5*b)*d*e^6)/(sqrt(e*x + d)*e^7))/e","B",0
1806,1,773,0,0.527248," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{63 \, {\left(e x + d\right)}^{\frac{11}{2}} B b^{6} - 77 \, {\left(7 \, B b^{6} d - {\left(6 \, B a b^{5} + A b^{6}\right)} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 297 \, {\left(7 \, B b^{6} d^{2} - 2 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d e + {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 693 \, {\left(7 \, B b^{6} d^{3} - 3 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{2} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d e^{2} - {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(7 \, B b^{6} d^{4} - 4 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{3} e + 6 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{2} e^{2} - 4 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d e^{3} + {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 2079 \, {\left(7 \, B b^{6} d^{5} - 5 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{4} e + 10 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{3} e^{2} - 10 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d e^{4} - {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} e^{5}\right)} \sqrt{e x + d}}{e^{7}} + \frac{231 \, {\left(B b^{6} d^{7} - A a^{6} e^{7} - {\left(6 \, B a b^{5} + A b^{6}\right)} d^{6} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{5} e^{2} - 5 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{4} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{3} e^{4} - 3 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d^{2} e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} d e^{6} - 3 \, {\left(7 \, B b^{6} d^{6} - 6 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{5} e + 15 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{4} e^{2} - 20 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{3} e^{3} + 15 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{2} e^{4} - 6 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} e^{6}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{7}}\right)}}{693 \, e}"," ",0,"2/693*((63*(e*x + d)^(11/2)*B*b^6 - 77*(7*B*b^6*d - (6*B*a*b^5 + A*b^6)*e)*(e*x + d)^(9/2) + 297*(7*B*b^6*d^2 - 2*(6*B*a*b^5 + A*b^6)*d*e + (5*B*a^2*b^4 + 2*A*a*b^5)*e^2)*(e*x + d)^(7/2) - 693*(7*B*b^6*d^3 - 3*(6*B*a*b^5 + A*b^6)*d^2*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d*e^2 - (4*B*a^3*b^3 + 3*A*a^2*b^4)*e^3)*(e*x + d)^(5/2) + 1155*(7*B*b^6*d^4 - 4*(6*B*a*b^5 + A*b^6)*d^3*e + 6*(5*B*a^2*b^4 + 2*A*a*b^5)*d^2*e^2 - 4*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d*e^3 + (3*B*a^4*b^2 + 4*A*a^3*b^3)*e^4)*(e*x + d)^(3/2) - 2079*(7*B*b^6*d^5 - 5*(6*B*a*b^5 + A*b^6)*d^4*e + 10*(5*B*a^2*b^4 + 2*A*a*b^5)*d^3*e^2 - 10*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^2*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d*e^4 - (2*B*a^5*b + 5*A*a^4*b^2)*e^5)*sqrt(e*x + d))/e^7 + 231*(B*b^6*d^7 - A*a^6*e^7 - (6*B*a*b^5 + A*b^6)*d^6*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d^5*e^2 - 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^4*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^3*e^4 - 3*(2*B*a^5*b + 5*A*a^4*b^2)*d^2*e^5 + (B*a^6 + 6*A*a^5*b)*d*e^6 - 3*(7*B*b^6*d^6 - 6*(6*B*a*b^5 + A*b^6)*d^5*e + 15*(5*B*a^2*b^4 + 2*A*a*b^5)*d^4*e^2 - 20*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^3*e^3 + 15*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^2*e^4 - 6*(2*B*a^5*b + 5*A*a^4*b^2)*d*e^5 + (B*a^6 + 6*A*a^5*b)*e^6)*(e*x + d))/((e*x + d)^(3/2)*e^7))/e","B",0
1807,1,775,0,0.631253," ","integrate((B*x+A)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}} B b^{6} - 45 \, {\left(7 \, B b^{6} d - {\left(6 \, B a b^{5} + A b^{6}\right)} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 189 \, {\left(7 \, B b^{6} d^{2} - 2 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d e + {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 525 \, {\left(7 \, B b^{6} d^{3} - 3 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{2} e + 3 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d e^{2} - {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 1575 \, {\left(7 \, B b^{6} d^{4} - 4 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{3} e + 6 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{2} e^{2} - 4 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d e^{3} + {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} e^{4}\right)} \sqrt{e x + d}}{e^{7}} + \frac{21 \, {\left(3 \, B b^{6} d^{7} - 3 \, A a^{6} e^{7} - 3 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{6} e + 9 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{5} e^{2} - 15 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{4} e^{3} + 15 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{3} e^{4} - 9 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d^{2} e^{5} + 3 \, {\left(B a^{6} + 6 \, A a^{5} b\right)} d e^{6} + 45 \, {\left(7 \, B b^{6} d^{5} - 5 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{4} e + 10 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{3} e^{2} - 10 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d e^{4} - {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} e^{5}\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(7 \, B b^{6} d^{6} - 6 \, {\left(6 \, B a b^{5} + A b^{6}\right)} d^{5} e + 15 \, {\left(5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right)} d^{4} e^{2} - 20 \, {\left(4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right)} d^{3} e^{3} + 15 \, {\left(3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right)} d^{2} e^{4} - 6 \, {\left(2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right)} d e^{5} + {\left(B a^{6} + 6 \, A a^{5} b\right)} e^{6}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{7}}\right)}}{315 \, e}"," ",0,"2/315*((35*(e*x + d)^(9/2)*B*b^6 - 45*(7*B*b^6*d - (6*B*a*b^5 + A*b^6)*e)*(e*x + d)^(7/2) + 189*(7*B*b^6*d^2 - 2*(6*B*a*b^5 + A*b^6)*d*e + (5*B*a^2*b^4 + 2*A*a*b^5)*e^2)*(e*x + d)^(5/2) - 525*(7*B*b^6*d^3 - 3*(6*B*a*b^5 + A*b^6)*d^2*e + 3*(5*B*a^2*b^4 + 2*A*a*b^5)*d*e^2 - (4*B*a^3*b^3 + 3*A*a^2*b^4)*e^3)*(e*x + d)^(3/2) + 1575*(7*B*b^6*d^4 - 4*(6*B*a*b^5 + A*b^6)*d^3*e + 6*(5*B*a^2*b^4 + 2*A*a*b^5)*d^2*e^2 - 4*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d*e^3 + (3*B*a^4*b^2 + 4*A*a^3*b^3)*e^4)*sqrt(e*x + d))/e^7 + 21*(3*B*b^6*d^7 - 3*A*a^6*e^7 - 3*(6*B*a*b^5 + A*b^6)*d^6*e + 9*(5*B*a^2*b^4 + 2*A*a*b^5)*d^5*e^2 - 15*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^4*e^3 + 15*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^3*e^4 - 9*(2*B*a^5*b + 5*A*a^4*b^2)*d^2*e^5 + 3*(B*a^6 + 6*A*a^5*b)*d*e^6 + 45*(7*B*b^6*d^5 - 5*(6*B*a*b^5 + A*b^6)*d^4*e + 10*(5*B*a^2*b^4 + 2*A*a*b^5)*d^3*e^2 - 10*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^2*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d*e^4 - (2*B*a^5*b + 5*A*a^4*b^2)*e^5)*(e*x + d)^2 - 5*(7*B*b^6*d^6 - 6*(6*B*a*b^5 + A*b^6)*d^5*e + 15*(5*B*a^2*b^4 + 2*A*a*b^5)*d^4*e^2 - 20*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d^3*e^3 + 15*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^2*e^4 - 6*(2*B*a^5*b + 5*A*a^4*b^2)*d*e^5 + (B*a^6 + 6*A*a^5*b)*e^6)*(e*x + d))/((e*x + d)^(5/2)*e^7))/e","B",0
1808,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1809,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1810,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1811,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1812,-2,0,0,0.000000," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(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 positive or negative?","F(-2)",0
1813,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1814,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1815,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1816,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1817,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1818,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1819,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1820,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1821,-2,0,0,0.000000," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(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 positive or negative?","F(-2)",0
1822,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1823,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1824,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1825,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1826,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1827,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1828,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1829,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1830,-2,0,0,0.000000," ","integrate((B*x+A)*(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
1831,-2,0,0,0.000000," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(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 positive or negative?","F(-2)",0
1832,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1833,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1834,-2,0,0,0.000000," ","integrate((B*x+A)/(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
1835,1,263,0,0.564493," ","integrate((B*x+A)*(e*x+d)^(7/2)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(9 \, b e^{5} x^{5} - 2 \, b d^{5} + 11 \, a d^{4} e + {\left(34 \, b d e^{4} + 11 \, a e^{5}\right)} x^{4} + 2 \, {\left(23 \, b d^{2} e^{3} + 22 \, a d e^{4}\right)} x^{3} + 6 \, {\left(4 \, b d^{3} e^{2} + 11 \, a d^{2} e^{3}\right)} x^{2} + {\left(b d^{4} e + 44 \, a d^{3} e^{2}\right)} x\right)} \sqrt{e x + d} A}{99 \, e^{2}} + \frac{2 \, {\left(99 \, b e^{6} x^{6} + 8 \, b d^{6} - 26 \, a d^{5} e + 9 \, {\left(40 \, b d e^{5} + 13 \, a e^{6}\right)} x^{5} + 2 \, {\left(229 \, b d^{2} e^{4} + 221 \, a d e^{5}\right)} x^{4} + 2 \, {\left(106 \, b d^{3} e^{3} + 299 \, a d^{2} e^{4}\right)} x^{3} + 3 \, {\left(b d^{4} e^{2} + 104 \, a d^{3} e^{3}\right)} x^{2} - {\left(4 \, b d^{5} e - 13 \, a d^{4} e^{2}\right)} x\right)} \sqrt{e x + d} B}{1287 \, e^{3}}"," ",0,"2/99*(9*b*e^5*x^5 - 2*b*d^5 + 11*a*d^4*e + (34*b*d*e^4 + 11*a*e^5)*x^4 + 2*(23*b*d^2*e^3 + 22*a*d*e^4)*x^3 + 6*(4*b*d^3*e^2 + 11*a*d^2*e^3)*x^2 + (b*d^4*e + 44*a*d^3*e^2)*x)*sqrt(e*x + d)*A/e^2 + 2/1287*(99*b*e^6*x^6 + 8*b*d^6 - 26*a*d^5*e + 9*(40*b*d*e^5 + 13*a*e^6)*x^5 + 2*(229*b*d^2*e^4 + 221*a*d*e^5)*x^4 + 2*(106*b*d^3*e^3 + 299*a*d^2*e^4)*x^3 + 3*(b*d^4*e^2 + 104*a*d^3*e^3)*x^2 - (4*b*d^5*e - 13*a*d^4*e^2)*x)*sqrt(e*x + d)*B/e^3","B",0
1836,1,214,0,0.584442," ","integrate((B*x+A)*(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} A}{63 \, e^{2}} + \frac{2 \, {\left(63 \, b e^{5} x^{5} + 8 \, b d^{5} - 22 \, a d^{4} e + 7 \, {\left(23 \, b d e^{4} + 11 \, a e^{5}\right)} x^{4} + {\left(113 \, b d^{2} e^{3} + 209 \, a d e^{4}\right)} x^{3} + 3 \, {\left(b d^{3} e^{2} + 55 \, a d^{2} e^{3}\right)} x^{2} - {\left(4 \, b d^{4} e - 11 \, a d^{3} e^{2}\right)} x\right)} \sqrt{e x + d} B}{693 \, e^{3}}"," ",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)*A/e^2 + 2/693*(63*b*e^5*x^5 + 8*b*d^5 - 22*a*d^4*e + 7*(23*b*d*e^4 + 11*a*e^5)*x^4 + (113*b*d^2*e^3 + 209*a*d*e^4)*x^3 + 3*(b*d^3*e^2 + 55*a*d^2*e^3)*x^2 - (4*b*d^4*e - 11*a*d^3*e^2)*x)*sqrt(e*x + d)*B/e^3","A",0
1837,1,167,0,0.611817," ","integrate((B*x+A)*(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} A}{35 \, e^{2}} + \frac{2 \, {\left(35 \, b e^{4} x^{4} + 8 \, b d^{4} - 18 \, a d^{3} e + 5 \, {\left(10 \, b d e^{3} + 9 \, a e^{4}\right)} x^{3} + 3 \, {\left(b d^{2} e^{2} + 24 \, a d e^{3}\right)} x^{2} - {\left(4 \, b d^{3} e - 9 \, a d^{2} e^{2}\right)} x\right)} \sqrt{e x + d} B}{315 \, e^{3}}"," ",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)*A/e^2 + 2/315*(35*b*e^4*x^4 + 8*b*d^4 - 18*a*d^3*e + 5*(10*b*d*e^3 + 9*a*e^4)*x^3 + 3*(b*d^2*e^2 + 24*a*d*e^3)*x^2 - (4*b*d^3*e - 9*a*d^2*e^2)*x)*sqrt(e*x + d)*B/e^3","A",0
1838,1,120,0,0.599550," ","integrate((B*x+A)*(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} A}{15 \, e^{2}} + \frac{2 \, {\left(15 \, b e^{3} x^{3} + 8 \, b d^{3} - 14 \, a d^{2} e + 3 \, {\left(b d e^{2} + 7 \, a e^{3}\right)} x^{2} - {\left(4 \, b d^{2} e - 7 \, a d e^{2}\right)} x\right)} \sqrt{e x + d} B}{105 \, e^{3}}"," ",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)*A/e^2 + 2/105*(15*b*e^3*x^3 + 8*b*d^3 - 14*a*d^2*e + 3*(b*d*e^2 + 7*a*e^3)*x^2 - (4*b*d^2*e - 7*a*d*e^2)*x)*sqrt(e*x + d)*B/e^3","A",0
1839,1,119,0,0.707145," ","integrate((B*x+A)*((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)} A}{3 \, \sqrt{e x + d} e^{2}} + \frac{2 \, {\left(3 \, b e^{3} x^{3} + 8 \, b d^{3} - 10 \, a d^{2} e - {\left(b d e^{2} - 5 \, a e^{3}\right)} x^{2} + {\left(4 \, b d^{2} e - 5 \, a d e^{2}\right)} x\right)} B}{15 \, \sqrt{e x + d} e^{3}}"," ",0,"2/3*(b*e^2*x^2 - 2*b*d^2 + 3*a*d*e - (b*d*e - 3*a*e^2)*x)*A/(sqrt(e*x + d)*e^2) + 2/15*(3*b*e^3*x^3 + 8*b*d^3 - 10*a*d^2*e - (b*d*e^2 - 5*a*e^3)*x^2 + (4*b*d^2*e - 5*a*d*e^2)*x)*B/(sqrt(e*x + d)*e^3)","A",0
1840,1,75,0,0.770830," ","integrate((B*x+A)*((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)} A}{\sqrt{e x + d} e^{2}} + \frac{2 \, {\left(b e^{2} x^{2} - 8 \, b d^{2} + 6 \, a d e - {\left(4 \, b d e - 3 \, a e^{2}\right)} x\right)} B}{3 \, \sqrt{e x + d} e^{3}}"," ",0,"2*(b*e*x + 2*b*d - a*e)*A/(sqrt(e*x + d)*e^2) + 2/3*(b*e^2*x^2 - 8*b*d^2 + 6*a*d*e - (4*b*d*e - 3*a*e^2)*x)*B/(sqrt(e*x + d)*e^3)","A",0
1841,1,96,0,0.609059," ","integrate((B*x+A)*((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)} A}{3 \, {\left(e^{3} x + d e^{2}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(3 \, b e^{2} x^{2} + 8 \, b d^{2} - 2 \, a d e + 3 \, {\left(4 \, b d e - a e^{2}\right)} x\right)} B}{3 \, {\left(e^{4} x + d e^{3}\right)} \sqrt{e x + d}}"," ",0,"-2/3*(3*b*e*x + 2*b*d + a*e)*A/((e^3*x + d*e^2)*sqrt(e*x + d)) + 2/3*(3*b*e^2*x^2 + 8*b*d^2 - 2*a*d*e + 3*(4*b*d*e - a*e^2)*x)*B/((e^4*x + d*e^3)*sqrt(e*x + d))","A",0
1842,1,118,0,0.582052," ","integrate((B*x+A)*((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)} A}{15 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)} \sqrt{e x + d}} - \frac{2 \, {\left(15 \, b e^{2} x^{2} + 8 \, b d^{2} + 2 \, a d e + 5 \, {\left(4 \, b d e + a e^{2}\right)} x\right)} B}{15 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)} \sqrt{e x + d}}"," ",0,"-2/15*(5*b*e*x + 2*b*d + 3*a*e)*A/((e^4*x^2 + 2*d*e^3*x + d^2*e^2)*sqrt(e*x + d)) - 2/15*(15*b*e^2*x^2 + 8*b*d^2 + 2*a*d*e + 5*(4*b*d*e + a*e^2)*x)*B/((e^5*x^2 + 2*d*e^4*x + d^2*e^3)*sqrt(e*x + d))","A",0
1843,1,697,0,0.753776," ","integrate((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(429 \, b^{3} e^{7} x^{7} - 16 \, b^{3} d^{7} + 120 \, a b^{2} d^{6} e - 390 \, a^{2} b d^{5} e^{2} + 715 \, a^{3} d^{4} e^{3} + 33 \, {\left(46 \, b^{3} d e^{6} + 45 \, a b^{2} e^{7}\right)} x^{6} + 9 \, {\left(206 \, b^{3} d^{2} e^{5} + 600 \, a b^{2} d e^{6} + 195 \, a^{2} b e^{7}\right)} x^{5} + 5 \, {\left(160 \, b^{3} d^{3} e^{4} + 1374 \, a b^{2} d^{2} e^{5} + 1326 \, a^{2} b d e^{6} + 143 \, a^{3} e^{7}\right)} x^{4} + 5 \, {\left(b^{3} d^{4} e^{3} + 636 \, a b^{2} d^{3} e^{4} + 1794 \, a^{2} b d^{2} e^{5} + 572 \, a^{3} d e^{6}\right)} x^{3} - 3 \, {\left(2 \, b^{3} d^{5} e^{2} - 15 \, a b^{2} d^{4} e^{3} - 1560 \, a^{2} b d^{3} e^{4} - 1430 \, a^{3} d^{2} e^{5}\right)} x^{2} + {\left(8 \, b^{3} d^{6} e - 60 \, a b^{2} d^{5} e^{2} + 195 \, a^{2} b d^{4} e^{3} + 2860 \, a^{3} d^{3} e^{4}\right)} x\right)} \sqrt{e x + d} A}{6435 \, e^{4}} + \frac{2 \, {\left(6435 \, b^{3} e^{8} x^{8} + 128 \, b^{3} d^{8} - 816 \, a b^{2} d^{7} e + 2040 \, a^{2} b d^{6} e^{2} - 2210 \, a^{3} d^{5} e^{3} + 429 \, {\left(52 \, b^{3} d e^{7} + 51 \, a b^{2} e^{8}\right)} x^{7} + 33 \, {\left(802 \, b^{3} d^{2} e^{6} + 2346 \, a b^{2} d e^{7} + 765 \, a^{2} b e^{8}\right)} x^{6} + 9 \, {\left(1212 \, b^{3} d^{3} e^{5} + 10506 \, a b^{2} d^{2} e^{6} + 10200 \, a^{2} b d e^{7} + 1105 \, a^{3} e^{8}\right)} x^{5} + 5 \, {\left(7 \, b^{3} d^{4} e^{4} + 8160 \, a b^{2} d^{3} e^{5} + 23358 \, a^{2} b d^{2} e^{6} + 7514 \, a^{3} d e^{7}\right)} x^{4} - 5 \, {\left(8 \, b^{3} d^{5} e^{3} - 51 \, a b^{2} d^{4} e^{4} - 10812 \, a^{2} b d^{3} e^{5} - 10166 \, a^{3} d^{2} e^{6}\right)} x^{3} + 3 \, {\left(16 \, b^{3} d^{6} e^{2} - 102 \, a b^{2} d^{5} e^{3} + 255 \, a^{2} b d^{4} e^{4} + 8840 \, a^{3} d^{3} e^{5}\right)} x^{2} - {\left(64 \, b^{3} d^{7} e - 408 \, a b^{2} d^{6} e^{2} + 1020 \, a^{2} b d^{5} e^{3} - 1105 \, a^{3} d^{4} e^{4}\right)} x\right)} \sqrt{e x + d} B}{109395 \, e^{5}}"," ",0,"2/6435*(429*b^3*e^7*x^7 - 16*b^3*d^7 + 120*a*b^2*d^6*e - 390*a^2*b*d^5*e^2 + 715*a^3*d^4*e^3 + 33*(46*b^3*d*e^6 + 45*a*b^2*e^7)*x^6 + 9*(206*b^3*d^2*e^5 + 600*a*b^2*d*e^6 + 195*a^2*b*e^7)*x^5 + 5*(160*b^3*d^3*e^4 + 1374*a*b^2*d^2*e^5 + 1326*a^2*b*d*e^6 + 143*a^3*e^7)*x^4 + 5*(b^3*d^4*e^3 + 636*a*b^2*d^3*e^4 + 1794*a^2*b*d^2*e^5 + 572*a^3*d*e^6)*x^3 - 3*(2*b^3*d^5*e^2 - 15*a*b^2*d^4*e^3 - 1560*a^2*b*d^3*e^4 - 1430*a^3*d^2*e^5)*x^2 + (8*b^3*d^6*e - 60*a*b^2*d^5*e^2 + 195*a^2*b*d^4*e^3 + 2860*a^3*d^3*e^4)*x)*sqrt(e*x + d)*A/e^4 + 2/109395*(6435*b^3*e^8*x^8 + 128*b^3*d^8 - 816*a*b^2*d^7*e + 2040*a^2*b*d^6*e^2 - 2210*a^3*d^5*e^3 + 429*(52*b^3*d*e^7 + 51*a*b^2*e^8)*x^7 + 33*(802*b^3*d^2*e^6 + 2346*a*b^2*d*e^7 + 765*a^2*b*e^8)*x^6 + 9*(1212*b^3*d^3*e^5 + 10506*a*b^2*d^2*e^6 + 10200*a^2*b*d*e^7 + 1105*a^3*e^8)*x^5 + 5*(7*b^3*d^4*e^4 + 8160*a*b^2*d^3*e^5 + 23358*a^2*b*d^2*e^6 + 7514*a^3*d*e^7)*x^4 - 5*(8*b^3*d^5*e^3 - 51*a*b^2*d^4*e^4 - 10812*a^2*b*d^3*e^5 - 10166*a^3*d^2*e^6)*x^3 + 3*(16*b^3*d^6*e^2 - 102*a*b^2*d^5*e^3 + 255*a^2*b*d^4*e^4 + 8840*a^3*d^3*e^5)*x^2 - (64*b^3*d^7*e - 408*a*b^2*d^6*e^2 + 1020*a^2*b*d^5*e^3 - 1105*a^3*d^4*e^4)*x)*sqrt(e*x + d)*B/e^5","B",0
1844,1,592,0,0.729207," ","integrate((B*x+A)*(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} A}{3003 \, e^{4}} + \frac{2 \, {\left(3003 \, b^{3} e^{7} x^{7} + 128 \, b^{3} d^{7} - 720 \, a b^{2} d^{6} e + 1560 \, a^{2} b d^{5} e^{2} - 1430 \, a^{3} d^{4} e^{3} + 231 \, {\left(31 \, b^{3} d e^{6} + 45 \, a b^{2} e^{7}\right)} x^{6} + 63 \, {\left(71 \, b^{3} d^{2} e^{5} + 405 \, a b^{2} d e^{6} + 195 \, a^{2} b e^{7}\right)} x^{5} + 35 \, {\left(b^{3} d^{3} e^{4} + 477 \, a b^{2} d^{2} e^{5} + 897 \, a^{2} b d e^{6} + 143 \, a^{3} e^{7}\right)} x^{4} - 5 \, {\left(8 \, b^{3} d^{4} e^{3} - 45 \, a b^{2} d^{3} e^{4} - 4407 \, a^{2} b d^{2} e^{5} - 2717 \, a^{3} d e^{6}\right)} x^{3} + 3 \, {\left(16 \, b^{3} d^{5} e^{2} - 90 \, a b^{2} d^{4} e^{3} + 195 \, a^{2} b d^{3} e^{4} + 3575 \, a^{3} d^{2} e^{5}\right)} x^{2} - {\left(64 \, b^{3} d^{6} e - 360 \, a b^{2} d^{5} e^{2} + 780 \, a^{2} b d^{4} e^{3} - 715 \, a^{3} d^{3} e^{4}\right)} x\right)} \sqrt{e x + d} B}{45045 \, e^{5}}"," ",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)*A/e^4 + 2/45045*(3003*b^3*e^7*x^7 + 128*b^3*d^7 - 720*a*b^2*d^6*e + 1560*a^2*b*d^5*e^2 - 1430*a^3*d^4*e^3 + 231*(31*b^3*d*e^6 + 45*a*b^2*e^7)*x^6 + 63*(71*b^3*d^2*e^5 + 405*a*b^2*d*e^6 + 195*a^2*b*e^7)*x^5 + 35*(b^3*d^3*e^4 + 477*a*b^2*d^2*e^5 + 897*a^2*b*d*e^6 + 143*a^3*e^7)*x^4 - 5*(8*b^3*d^4*e^3 - 45*a*b^2*d^3*e^4 - 4407*a^2*b*d^2*e^5 - 2717*a^3*d*e^6)*x^3 + 3*(16*b^3*d^5*e^2 - 90*a*b^2*d^4*e^3 + 195*a^2*b*d^3*e^4 + 3575*a^3*d^2*e^5)*x^2 - (64*b^3*d^6*e - 360*a*b^2*d^5*e^2 + 780*a^2*b*d^4*e^3 - 715*a^3*d^3*e^4)*x)*sqrt(e*x + d)*B/e^5","B",0
1845,1,488,0,0.632323," ","integrate((B*x+A)*(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} A}{1155 \, e^{4}} + \frac{2 \, {\left(1155 \, b^{3} e^{6} x^{6} + 128 \, b^{3} d^{6} - 624 \, a b^{2} d^{5} e + 1144 \, a^{2} b d^{4} e^{2} - 858 \, a^{3} d^{3} e^{3} + 105 \, {\left(14 \, b^{3} d e^{5} + 39 \, a b^{2} e^{6}\right)} x^{5} + 35 \, {\left(b^{3} d^{2} e^{4} + 156 \, a b^{2} d e^{5} + 143 \, a^{2} b e^{6}\right)} x^{4} - 5 \, {\left(8 \, b^{3} d^{3} e^{3} - 39 \, a b^{2} d^{2} e^{4} - 1430 \, a^{2} b d e^{5} - 429 \, a^{3} e^{6}\right)} x^{3} + 3 \, {\left(16 \, b^{3} d^{4} e^{2} - 78 \, a b^{2} d^{3} e^{3} + 143 \, a^{2} b d^{2} e^{4} + 1144 \, a^{3} d e^{5}\right)} x^{2} - {\left(64 \, b^{3} d^{5} e - 312 \, a b^{2} d^{4} e^{2} + 572 \, a^{2} b d^{3} e^{3} - 429 \, a^{3} d^{2} e^{4}\right)} x\right)} \sqrt{e x + d} B}{15015 \, e^{5}}"," ",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)*A/e^4 + 2/15015*(1155*b^3*e^6*x^6 + 128*b^3*d^6 - 624*a*b^2*d^5*e + 1144*a^2*b*d^4*e^2 - 858*a^3*d^3*e^3 + 105*(14*b^3*d*e^5 + 39*a*b^2*e^6)*x^5 + 35*(b^3*d^2*e^4 + 156*a*b^2*d*e^5 + 143*a^2*b*e^6)*x^4 - 5*(8*b^3*d^3*e^3 - 39*a*b^2*d^2*e^4 - 1430*a^2*b*d*e^5 - 429*a^3*e^6)*x^3 + 3*(16*b^3*d^4*e^2 - 78*a*b^2*d^3*e^3 + 143*a^2*b*d^2*e^4 + 1144*a^3*d*e^5)*x^2 - (64*b^3*d^5*e - 312*a*b^2*d^4*e^2 + 572*a^2*b*d^3*e^3 - 429*a^3*d^2*e^4)*x)*sqrt(e*x + d)*B/e^5","B",0
1846,1,384,0,0.613981," ","integrate((B*x+A)*(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} A}{315 \, e^{4}} + \frac{2 \, {\left(315 \, b^{3} e^{5} x^{5} + 128 \, b^{3} d^{5} - 528 \, a b^{2} d^{4} e + 792 \, a^{2} b d^{3} e^{2} - 462 \, a^{3} d^{2} e^{3} + 35 \, {\left(b^{3} d e^{4} + 33 \, a b^{2} e^{5}\right)} x^{4} - 5 \, {\left(8 \, b^{3} d^{2} e^{3} - 33 \, a b^{2} d e^{4} - 297 \, a^{2} b e^{5}\right)} x^{3} + 3 \, {\left(16 \, b^{3} d^{3} e^{2} - 66 \, a b^{2} d^{2} e^{3} + 99 \, a^{2} b d e^{4} + 231 \, a^{3} e^{5}\right)} x^{2} - {\left(64 \, b^{3} d^{4} e - 264 \, a b^{2} d^{3} e^{2} + 396 \, a^{2} b d^{2} e^{3} - 231 \, a^{3} d e^{4}\right)} x\right)} \sqrt{e x + d} B}{3465 \, e^{5}}"," ",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)*A/e^4 + 2/3465*(315*b^3*e^5*x^5 + 128*b^3*d^5 - 528*a*b^2*d^4*e + 792*a^2*b*d^3*e^2 - 462*a^3*d^2*e^3 + 35*(b^3*d*e^4 + 33*a*b^2*e^5)*x^4 - 5*(8*b^3*d^2*e^3 - 33*a*b^2*d*e^4 - 297*a^2*b*e^5)*x^3 + 3*(16*b^3*d^3*e^2 - 66*a*b^2*d^2*e^3 + 99*a^2*b*d*e^4 + 231*a^3*e^5)*x^2 - (64*b^3*d^4*e - 264*a*b^2*d^3*e^2 + 396*a^2*b*d^2*e^3 - 231*a^3*d*e^4)*x)*sqrt(e*x + d)*B/e^5","A",0
1847,1,382,0,0.633035," ","integrate((B*x+A)*(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)} A}{35 \, \sqrt{e x + d} e^{4}} + \frac{2 \, {\left(35 \, b^{3} e^{5} x^{5} + 128 \, b^{3} d^{5} - 432 \, a b^{2} d^{4} e + 504 \, a^{2} b d^{3} e^{2} - 210 \, a^{3} d^{2} e^{3} - 5 \, {\left(b^{3} d e^{4} - 27 \, a b^{2} e^{5}\right)} x^{4} + {\left(8 \, b^{3} d^{2} e^{3} - 27 \, a b^{2} d e^{4} + 189 \, a^{2} b e^{5}\right)} x^{3} - {\left(16 \, b^{3} d^{3} e^{2} - 54 \, a b^{2} d^{2} e^{3} + 63 \, a^{2} b d e^{4} - 105 \, a^{3} e^{5}\right)} x^{2} + {\left(64 \, b^{3} d^{4} e - 216 \, a b^{2} d^{3} e^{2} + 252 \, a^{2} b d^{2} e^{3} - 105 \, a^{3} d e^{4}\right)} x\right)} B}{315 \, \sqrt{e x + d} e^{5}}"," ",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)*A/(sqrt(e*x + d)*e^4) + 2/315*(35*b^3*e^5*x^5 + 128*b^3*d^5 - 432*a*b^2*d^4*e + 504*a^2*b*d^3*e^2 - 210*a^3*d^2*e^3 - 5*(b^3*d*e^4 - 27*a*b^2*e^5)*x^4 + (8*b^3*d^2*e^3 - 27*a*b^2*d*e^4 + 189*a^2*b*e^5)*x^3 - (16*b^3*d^3*e^2 - 54*a*b^2*d^2*e^3 + 63*a^2*b*d*e^4 - 105*a^3*e^5)*x^2 + (64*b^3*d^4*e - 216*a*b^2*d^3*e^2 + 252*a^2*b*d^2*e^3 - 105*a^3*d*e^4)*x)*B/(sqrt(e*x + d)*e^5)","A",0
1848,1,282,0,0.771632," ","integrate((B*x+A)*(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)} A}{5 \, \sqrt{e x + d} e^{4}} + \frac{2 \, {\left(5 \, b^{3} e^{4} x^{4} - 128 \, b^{3} d^{4} + 336 \, a b^{2} d^{3} e - 280 \, a^{2} b d^{2} e^{2} + 70 \, a^{3} d e^{3} - {\left(8 \, b^{3} d e^{3} - 21 \, a b^{2} e^{4}\right)} x^{3} + {\left(16 \, b^{3} d^{2} e^{2} - 42 \, a b^{2} d e^{3} + 35 \, a^{2} b e^{4}\right)} x^{2} - {\left(64 \, b^{3} d^{3} e - 168 \, a b^{2} d^{2} e^{2} + 140 \, a^{2} b d e^{3} - 35 \, a^{3} e^{4}\right)} x\right)} B}{35 \, \sqrt{e x + d} e^{5}}"," ",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)*A/(sqrt(e*x + d)*e^4) + 2/35*(5*b^3*e^4*x^4 - 128*b^3*d^4 + 336*a*b^2*d^3*e - 280*a^2*b*d^2*e^2 + 70*a^3*d*e^3 - (8*b^3*d*e^3 - 21*a*b^2*e^4)*x^3 + (16*b^3*d^2*e^2 - 42*a*b^2*d*e^3 + 35*a^2*b*e^4)*x^2 - (64*b^3*d^3*e - 168*a*b^2*d^2*e^2 + 140*a^2*b*d*e^3 - 35*a^3*e^4)*x)*B/(sqrt(e*x + d)*e^5)","A",0
1849,1,304,0,0.645518," ","integrate((B*x+A)*(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)} A}{3 \, {\left(e^{5} x + d e^{4}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(3 \, b^{3} e^{4} x^{4} + 128 \, b^{3} d^{4} - 240 \, a b^{2} d^{3} e + 120 \, a^{2} b d^{2} e^{2} - 10 \, a^{3} d e^{3} - {\left(8 \, b^{3} d e^{3} - 15 \, a b^{2} e^{4}\right)} x^{3} + 3 \, {\left(16 \, b^{3} d^{2} e^{2} - 30 \, a b^{2} d e^{3} + 15 \, a^{2} b e^{4}\right)} x^{2} + 3 \, {\left(64 \, b^{3} d^{3} e - 120 \, a b^{2} d^{2} e^{2} + 60 \, a^{2} b d e^{3} - 5 \, a^{3} e^{4}\right)} x\right)} B}{15 \, {\left(e^{6} x + d e^{5}\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)*A/((e^5*x + d*e^4)*sqrt(e*x + d)) + 2/15*(3*b^3*e^4*x^4 + 128*b^3*d^4 - 240*a*b^2*d^3*e + 120*a^2*b*d^2*e^2 - 10*a^3*d*e^3 - (8*b^3*d*e^3 - 15*a*b^2*e^4)*x^3 + 3*(16*b^3*d^2*e^2 - 30*a*b^2*d*e^3 + 15*a^2*b*e^4)*x^2 + 3*(64*b^3*d^3*e - 120*a*b^2*d^2*e^2 + 60*a^2*b*d*e^3 - 5*a^3*e^4)*x)*B/((e^6*x + d*e^5)*sqrt(e*x + d))","A",0
1850,1,326,0,0.743666," ","integrate((B*x+A)*(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)} A}{5 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(5 \, b^{3} e^{4} x^{4} - 128 \, b^{3} d^{4} + 144 \, a b^{2} d^{3} e - 24 \, a^{2} b d^{2} e^{2} - 2 \, a^{3} d e^{3} - 5 \, {\left(8 \, b^{3} d e^{3} - 9 \, a b^{2} e^{4}\right)} x^{3} - 15 \, {\left(16 \, b^{3} d^{2} e^{2} - 18 \, a b^{2} d e^{3} + 3 \, a^{2} b e^{4}\right)} x^{2} - 5 \, {\left(64 \, b^{3} d^{3} e - 72 \, a b^{2} d^{2} e^{2} + 12 \, a^{2} b d e^{3} + a^{3} e^{4}\right)} x\right)} B}{15 \, {\left(e^{7} x^{2} + 2 \, d e^{6} x + d^{2} e^{5}\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)*A/((e^6*x^2 + 2*d*e^5*x + d^2*e^4)*sqrt(e*x + d)) + 2/15*(5*b^3*e^4*x^4 - 128*b^3*d^4 + 144*a*b^2*d^3*e - 24*a^2*b*d^2*e^2 - 2*a^3*d*e^3 - 5*(8*b^3*d*e^3 - 9*a*b^2*e^4)*x^3 - 15*(16*b^3*d^2*e^2 - 18*a*b^2*d*e^3 + 3*a^2*b*e^4)*x^2 - 5*(64*b^3*d^3*e - 72*a*b^2*d^2*e^2 + 12*a^2*b*d*e^3 + a^3*e^4)*x)*B/((e^7*x^2 + 2*d*e^6*x + d^2*e^5)*sqrt(e*x + d))","A",0
1851,1,1241,0,0.688342," ","integrate((B*x+A)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(21879 \, b^{5} e^{9} x^{9} - 256 \, b^{5} d^{9} + 2432 \, a b^{4} d^{8} e - 10336 \, a^{2} b^{3} d^{7} e^{2} + 25840 \, a^{3} b^{2} d^{6} e^{3} - 41990 \, a^{4} b d^{5} e^{4} + 46189 \, a^{5} d^{4} e^{5} + 1287 \, {\left(58 \, b^{5} d e^{8} + 95 \, a b^{4} e^{9}\right)} x^{8} + 858 \, {\left(101 \, b^{5} d^{2} e^{7} + 494 \, a b^{4} d e^{8} + 323 \, a^{2} b^{3} e^{9}\right)} x^{7} + 66 \, {\left(524 \, b^{5} d^{3} e^{6} + 7619 \, a b^{4} d^{2} e^{7} + 14858 \, a^{2} b^{3} d e^{8} + 4845 \, a^{3} b^{2} e^{9}\right)} x^{6} + 9 \, {\left(7 \, b^{5} d^{4} e^{5} + 23028 \, a b^{4} d^{3} e^{6} + 133076 \, a^{2} b^{3} d^{2} e^{7} + 129200 \, a^{3} b^{2} d e^{8} + 20995 \, a^{4} b e^{9}\right)} x^{5} - {\left(70 \, b^{5} d^{5} e^{4} - 665 \, a b^{4} d^{4} e^{5} - 516800 \, a^{2} b^{3} d^{3} e^{6} - 1479340 \, a^{3} b^{2} d^{2} e^{7} - 713830 \, a^{4} b d e^{8} - 46189 \, a^{5} e^{9}\right)} x^{4} + 2 \, {\left(40 \, b^{5} d^{6} e^{3} - 380 \, a b^{4} d^{5} e^{4} + 1615 \, a^{2} b^{3} d^{4} e^{5} + 342380 \, a^{3} b^{2} d^{3} e^{6} + 482885 \, a^{4} b d^{2} e^{7} + 92378 \, a^{5} d e^{8}\right)} x^{3} - 6 \, {\left(16 \, b^{5} d^{7} e^{2} - 152 \, a b^{4} d^{6} e^{3} + 646 \, a^{2} b^{3} d^{5} e^{4} - 1615 \, a^{3} b^{2} d^{4} e^{5} - 83980 \, a^{4} b d^{3} e^{6} - 46189 \, a^{5} d^{2} e^{7}\right)} x^{2} + {\left(128 \, b^{5} d^{8} e - 1216 \, a b^{4} d^{7} e^{2} + 5168 \, a^{2} b^{3} d^{6} e^{3} - 12920 \, a^{3} b^{2} d^{5} e^{4} + 20995 \, a^{4} b d^{4} e^{5} + 184756 \, a^{5} d^{3} e^{6}\right)} x\right)} \sqrt{e x + d} A}{415701 \, e^{6}} + \frac{2 \, {\left(138567 \, b^{5} e^{10} x^{10} + 1024 \, b^{5} d^{10} - 8960 \, a b^{4} d^{9} e + 34048 \, a^{2} b^{3} d^{8} e^{2} - 72352 \, a^{3} b^{2} d^{7} e^{3} + 90440 \, a^{4} b d^{6} e^{4} - 58786 \, a^{5} d^{5} e^{5} + 7293 \, {\left(64 \, b^{5} d e^{9} + 105 \, a b^{4} e^{10}\right)} x^{9} + 2574 \, {\left(207 \, b^{5} d^{2} e^{8} + 1015 \, a b^{4} d e^{9} + 665 \, a^{2} b^{3} e^{10}\right)} x^{8} + 858 \, {\left(242 \, b^{5} d^{3} e^{7} + 3535 \, a b^{4} d^{2} e^{8} + 6916 \, a^{2} b^{3} d e^{9} + 2261 \, a^{3} b^{2} e^{10}\right)} x^{7} + 231 \, {\left(b^{5} d^{4} e^{6} + 5240 \, a b^{4} d^{3} e^{7} + 30476 \, a^{2} b^{3} d^{2} e^{8} + 29716 \, a^{3} b^{2} d e^{9} + 4845 \, a^{4} b e^{10}\right)} x^{6} - 63 \, {\left(4 \, b^{5} d^{5} e^{5} - 35 \, a b^{4} d^{4} e^{6} - 46056 \, a^{2} b^{3} d^{3} e^{7} - 133076 \, a^{3} b^{2} d^{2} e^{8} - 64600 \, a^{4} b d e^{9} - 4199 \, a^{5} e^{10}\right)} x^{5} + 14 \, {\left(20 \, b^{5} d^{6} e^{4} - 175 \, a b^{4} d^{5} e^{5} + 665 \, a^{2} b^{3} d^{4} e^{6} + 258400 \, a^{3} b^{2} d^{3} e^{7} + 369835 \, a^{4} b d^{2} e^{8} + 71383 \, a^{5} d e^{9}\right)} x^{4} - 2 \, {\left(160 \, b^{5} d^{7} e^{3} - 1400 \, a b^{4} d^{6} e^{4} + 5320 \, a^{2} b^{3} d^{5} e^{5} - 11305 \, a^{3} b^{2} d^{4} e^{6} - 1198330 \, a^{4} b d^{3} e^{7} - 676039 \, a^{5} d^{2} e^{8}\right)} x^{3} + 3 \, {\left(128 \, b^{5} d^{8} e^{2} - 1120 \, a b^{4} d^{7} e^{3} + 4256 \, a^{2} b^{3} d^{6} e^{4} - 9044 \, a^{3} b^{2} d^{5} e^{5} + 11305 \, a^{4} b d^{4} e^{6} + 235144 \, a^{5} d^{3} e^{7}\right)} x^{2} - {\left(512 \, b^{5} d^{9} e - 4480 \, a b^{4} d^{8} e^{2} + 17024 \, a^{2} b^{3} d^{7} e^{3} - 36176 \, a^{3} b^{2} d^{6} e^{4} + 45220 \, a^{4} b d^{5} e^{5} - 29393 \, a^{5} d^{4} e^{6}\right)} x\right)} \sqrt{e x + d} B}{2909907 \, e^{7}}"," ",0,"2/415701*(21879*b^5*e^9*x^9 - 256*b^5*d^9 + 2432*a*b^4*d^8*e - 10336*a^2*b^3*d^7*e^2 + 25840*a^3*b^2*d^6*e^3 - 41990*a^4*b*d^5*e^4 + 46189*a^5*d^4*e^5 + 1287*(58*b^5*d*e^8 + 95*a*b^4*e^9)*x^8 + 858*(101*b^5*d^2*e^7 + 494*a*b^4*d*e^8 + 323*a^2*b^3*e^9)*x^7 + 66*(524*b^5*d^3*e^6 + 7619*a*b^4*d^2*e^7 + 14858*a^2*b^3*d*e^8 + 4845*a^3*b^2*e^9)*x^6 + 9*(7*b^5*d^4*e^5 + 23028*a*b^4*d^3*e^6 + 133076*a^2*b^3*d^2*e^7 + 129200*a^3*b^2*d*e^8 + 20995*a^4*b*e^9)*x^5 - (70*b^5*d^5*e^4 - 665*a*b^4*d^4*e^5 - 516800*a^2*b^3*d^3*e^6 - 1479340*a^3*b^2*d^2*e^7 - 713830*a^4*b*d*e^8 - 46189*a^5*e^9)*x^4 + 2*(40*b^5*d^6*e^3 - 380*a*b^4*d^5*e^4 + 1615*a^2*b^3*d^4*e^5 + 342380*a^3*b^2*d^3*e^6 + 482885*a^4*b*d^2*e^7 + 92378*a^5*d*e^8)*x^3 - 6*(16*b^5*d^7*e^2 - 152*a*b^4*d^6*e^3 + 646*a^2*b^3*d^5*e^4 - 1615*a^3*b^2*d^4*e^5 - 83980*a^4*b*d^3*e^6 - 46189*a^5*d^2*e^7)*x^2 + (128*b^5*d^8*e - 1216*a*b^4*d^7*e^2 + 5168*a^2*b^3*d^6*e^3 - 12920*a^3*b^2*d^5*e^4 + 20995*a^4*b*d^4*e^5 + 184756*a^5*d^3*e^6)*x)*sqrt(e*x + d)*A/e^6 + 2/2909907*(138567*b^5*e^10*x^10 + 1024*b^5*d^10 - 8960*a*b^4*d^9*e + 34048*a^2*b^3*d^8*e^2 - 72352*a^3*b^2*d^7*e^3 + 90440*a^4*b*d^6*e^4 - 58786*a^5*d^5*e^5 + 7293*(64*b^5*d*e^9 + 105*a*b^4*e^10)*x^9 + 2574*(207*b^5*d^2*e^8 + 1015*a*b^4*d*e^9 + 665*a^2*b^3*e^10)*x^8 + 858*(242*b^5*d^3*e^7 + 3535*a*b^4*d^2*e^8 + 6916*a^2*b^3*d*e^9 + 2261*a^3*b^2*e^10)*x^7 + 231*(b^5*d^4*e^6 + 5240*a*b^4*d^3*e^7 + 30476*a^2*b^3*d^2*e^8 + 29716*a^3*b^2*d*e^9 + 4845*a^4*b*e^10)*x^6 - 63*(4*b^5*d^5*e^5 - 35*a*b^4*d^4*e^6 - 46056*a^2*b^3*d^3*e^7 - 133076*a^3*b^2*d^2*e^8 - 64600*a^4*b*d*e^9 - 4199*a^5*e^10)*x^5 + 14*(20*b^5*d^6*e^4 - 175*a*b^4*d^5*e^5 + 665*a^2*b^3*d^4*e^6 + 258400*a^3*b^2*d^3*e^7 + 369835*a^4*b*d^2*e^8 + 71383*a^5*d*e^9)*x^4 - 2*(160*b^5*d^7*e^3 - 1400*a*b^4*d^6*e^4 + 5320*a^2*b^3*d^5*e^5 - 11305*a^3*b^2*d^4*e^6 - 1198330*a^4*b*d^3*e^7 - 676039*a^5*d^2*e^8)*x^3 + 3*(128*b^5*d^8*e^2 - 1120*a*b^4*d^7*e^3 + 4256*a^2*b^3*d^6*e^4 - 9044*a^3*b^2*d^5*e^5 + 11305*a^4*b*d^4*e^6 + 235144*a^5*d^3*e^7)*x^2 - (512*b^5*d^9*e - 4480*a*b^4*d^8*e^2 + 17024*a^2*b^3*d^7*e^3 - 36176*a^3*b^2*d^6*e^4 + 45220*a^4*b*d^5*e^5 - 29393*a^5*d^4*e^6)*x)*sqrt(e*x + d)*B/e^7","B",0
1852,1,1080,0,0.845372," ","integrate((B*x+A)*(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} A}{153153 \, e^{6}} + \frac{2 \, {\left(153153 \, b^{5} e^{9} x^{9} + 3072 \, b^{5} d^{9} - 24320 \, a b^{4} d^{8} e + 82688 \, a^{2} b^{3} d^{7} e^{2} - 155040 \, a^{3} b^{2} d^{6} e^{3} + 167960 \, a^{4} b d^{5} e^{4} - 92378 \, a^{5} d^{4} e^{5} + 9009 \, {\left(39 \, b^{5} d e^{8} + 95 \, a b^{4} e^{9}\right)} x^{8} + 3003 \, {\left(69 \, b^{5} d^{2} e^{7} + 665 \, a b^{4} d e^{8} + 646 \, a^{2} b^{3} e^{9}\right)} x^{7} + 231 \, {\left(3 \, b^{5} d^{3} e^{6} + 5225 \, a b^{4} d^{2} e^{7} + 20026 \, a^{2} b^{3} d e^{8} + 9690 \, a^{3} b^{2} e^{9}\right)} x^{6} - 63 \, {\left(12 \, b^{5} d^{4} e^{5} - 95 \, a b^{4} d^{3} e^{6} - 45866 \, a^{2} b^{3} d^{2} e^{7} - 87210 \, a^{3} b^{2} d e^{8} - 20995 \, a^{4} b e^{9}\right)} x^{5} + 7 \, {\left(120 \, b^{5} d^{5} e^{4} - 950 \, a b^{4} d^{4} e^{5} + 3230 \, a^{2} b^{3} d^{3} e^{6} + 513570 \, a^{3} b^{2} d^{2} e^{7} + 482885 \, a^{4} b d e^{8} + 46189 \, a^{5} e^{9}\right)} x^{4} - {\left(960 \, b^{5} d^{6} e^{3} - 7600 \, a b^{4} d^{5} e^{4} + 25840 \, a^{2} b^{3} d^{4} e^{5} - 48450 \, a^{3} b^{2} d^{3} e^{6} - 2372435 \, a^{4} b d^{2} e^{7} - 877591 \, a^{5} d e^{8}\right)} x^{3} + 3 \, {\left(384 \, b^{5} d^{7} e^{2} - 3040 \, a b^{4} d^{6} e^{3} + 10336 \, a^{2} b^{3} d^{5} e^{4} - 19380 \, a^{3} b^{2} d^{4} e^{5} + 20995 \, a^{4} b d^{3} e^{6} + 230945 \, a^{5} d^{2} e^{7}\right)} x^{2} - {\left(1536 \, b^{5} d^{8} e - 12160 \, a b^{4} d^{7} e^{2} + 41344 \, a^{2} b^{3} d^{6} e^{3} - 77520 \, a^{3} b^{2} d^{5} e^{4} + 83980 \, a^{4} b d^{4} e^{5} - 46189 \, a^{5} d^{3} e^{6}\right)} x\right)} \sqrt{e x + d} B}{2909907 \, e^{7}}"," ",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)*A/e^6 + 2/2909907*(153153*b^5*e^9*x^9 + 3072*b^5*d^9 - 24320*a*b^4*d^8*e + 82688*a^2*b^3*d^7*e^2 - 155040*a^3*b^2*d^6*e^3 + 167960*a^4*b*d^5*e^4 - 92378*a^5*d^4*e^5 + 9009*(39*b^5*d*e^8 + 95*a*b^4*e^9)*x^8 + 3003*(69*b^5*d^2*e^7 + 665*a*b^4*d*e^8 + 646*a^2*b^3*e^9)*x^7 + 231*(3*b^5*d^3*e^6 + 5225*a*b^4*d^2*e^7 + 20026*a^2*b^3*d*e^8 + 9690*a^3*b^2*e^9)*x^6 - 63*(12*b^5*d^4*e^5 - 95*a*b^4*d^3*e^6 - 45866*a^2*b^3*d^2*e^7 - 87210*a^3*b^2*d*e^8 - 20995*a^4*b*e^9)*x^5 + 7*(120*b^5*d^5*e^4 - 950*a*b^4*d^4*e^5 + 3230*a^2*b^3*d^3*e^6 + 513570*a^3*b^2*d^2*e^7 + 482885*a^4*b*d*e^8 + 46189*a^5*e^9)*x^4 - (960*b^5*d^6*e^3 - 7600*a*b^4*d^5*e^4 + 25840*a^2*b^3*d^4*e^5 - 48450*a^3*b^2*d^3*e^6 - 2372435*a^4*b*d^2*e^7 - 877591*a^5*d*e^8)*x^3 + 3*(384*b^5*d^7*e^2 - 3040*a*b^4*d^6*e^3 + 10336*a^2*b^3*d^5*e^4 - 19380*a^3*b^2*d^4*e^5 + 20995*a^4*b*d^3*e^6 + 230945*a^5*d^2*e^7)*x^2 - (1536*b^5*d^8*e - 12160*a*b^4*d^7*e^2 + 41344*a^2*b^3*d^6*e^3 - 77520*a^3*b^2*d^5*e^4 + 83980*a^4*b*d^4*e^5 - 46189*a^5*d^3*e^6)*x)*sqrt(e*x + d)*B/e^7","B",0
1853,1,921,0,0.773818," ","integrate((B*x+A)*(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} A}{45045 \, e^{6}} + \frac{2 \, {\left(45045 \, b^{5} e^{8} x^{8} + 3072 \, b^{5} d^{8} - 21760 \, a b^{4} d^{7} e + 65280 \, a^{2} b^{3} d^{6} e^{2} - 106080 \, a^{3} b^{2} d^{5} e^{3} + 97240 \, a^{4} b d^{4} e^{4} - 43758 \, a^{5} d^{3} e^{5} + 3003 \, {\left(18 \, b^{5} d e^{7} + 85 \, a b^{4} e^{8}\right)} x^{7} + 231 \, {\left(3 \, b^{5} d^{2} e^{6} + 1360 \, a b^{4} d e^{7} + 2550 \, a^{2} b^{3} e^{8}\right)} x^{6} - 63 \, {\left(12 \, b^{5} d^{3} e^{5} - 85 \, a b^{4} d^{2} e^{6} - 11900 \, a^{2} b^{3} d e^{7} - 11050 \, a^{3} b^{2} e^{8}\right)} x^{5} + 35 \, {\left(24 \, b^{5} d^{4} e^{4} - 170 \, a b^{4} d^{3} e^{5} + 510 \, a^{2} b^{3} d^{2} e^{6} + 26520 \, a^{3} b^{2} d e^{7} + 12155 \, a^{4} b e^{8}\right)} x^{4} - 5 \, {\left(192 \, b^{5} d^{5} e^{3} - 1360 \, a b^{4} d^{4} e^{4} + 4080 \, a^{2} b^{3} d^{3} e^{5} - 6630 \, a^{3} b^{2} d^{2} e^{6} - 121550 \, a^{4} b d e^{7} - 21879 \, a^{5} e^{8}\right)} x^{3} + 3 \, {\left(384 \, b^{5} d^{6} e^{2} - 2720 \, a b^{4} d^{5} e^{3} + 8160 \, a^{2} b^{3} d^{4} e^{4} - 13260 \, a^{3} b^{2} d^{3} e^{5} + 12155 \, a^{4} b d^{2} e^{6} + 58344 \, a^{5} d e^{7}\right)} x^{2} - {\left(1536 \, b^{5} d^{7} e - 10880 \, a b^{4} d^{6} e^{2} + 32640 \, a^{2} b^{3} d^{5} e^{3} - 53040 \, a^{3} b^{2} d^{4} e^{4} + 48620 \, a^{4} b d^{3} e^{5} - 21879 \, a^{5} d^{2} e^{6}\right)} x\right)} \sqrt{e x + d} B}{765765 \, e^{7}}"," ",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)*A/e^6 + 2/765765*(45045*b^5*e^8*x^8 + 3072*b^5*d^8 - 21760*a*b^4*d^7*e + 65280*a^2*b^3*d^6*e^2 - 106080*a^3*b^2*d^5*e^3 + 97240*a^4*b*d^4*e^4 - 43758*a^5*d^3*e^5 + 3003*(18*b^5*d*e^7 + 85*a*b^4*e^8)*x^7 + 231*(3*b^5*d^2*e^6 + 1360*a*b^4*d*e^7 + 2550*a^2*b^3*e^8)*x^6 - 63*(12*b^5*d^3*e^5 - 85*a*b^4*d^2*e^6 - 11900*a^2*b^3*d*e^7 - 11050*a^3*b^2*e^8)*x^5 + 35*(24*b^5*d^4*e^4 - 170*a*b^4*d^3*e^5 + 510*a^2*b^3*d^2*e^6 + 26520*a^3*b^2*d*e^7 + 12155*a^4*b*e^8)*x^4 - 5*(192*b^5*d^5*e^3 - 1360*a*b^4*d^4*e^4 + 4080*a^2*b^3*d^3*e^5 - 6630*a^3*b^2*d^2*e^6 - 121550*a^4*b*d*e^7 - 21879*a^5*e^8)*x^3 + 3*(384*b^5*d^6*e^2 - 2720*a*b^4*d^5*e^3 + 8160*a^2*b^3*d^4*e^4 - 13260*a^3*b^2*d^3*e^5 + 12155*a^4*b*d^2*e^6 + 58344*a^5*d*e^7)*x^2 - (1536*b^5*d^7*e - 10880*a*b^4*d^6*e^2 + 32640*a^2*b^3*d^5*e^3 - 53040*a^3*b^2*d^4*e^4 + 48620*a^4*b*d^3*e^5 - 21879*a^5*d^2*e^6)*x)*sqrt(e*x + d)*B/e^7","B",0
1854,1,760,0,0.808135," ","integrate((B*x+A)*(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} A}{9009 \, e^{6}} + \frac{2 \, {\left(3003 \, b^{5} e^{7} x^{7} + 1024 \, b^{5} d^{7} - 6400 \, a b^{4} d^{6} e + 16640 \, a^{2} b^{3} d^{5} e^{2} - 22880 \, a^{3} b^{2} d^{4} e^{3} + 17160 \, a^{4} b d^{3} e^{4} - 6006 \, a^{5} d^{2} e^{5} + 231 \, {\left(b^{5} d e^{6} + 75 \, a b^{4} e^{7}\right)} x^{6} - 63 \, {\left(4 \, b^{5} d^{2} e^{5} - 25 \, a b^{4} d e^{6} - 650 \, a^{2} b^{3} e^{7}\right)} x^{5} + 70 \, {\left(4 \, b^{5} d^{3} e^{4} - 25 \, a b^{4} d^{2} e^{5} + 65 \, a^{2} b^{3} d e^{6} + 715 \, a^{3} b^{2} e^{7}\right)} x^{4} - 5 \, {\left(64 \, b^{5} d^{4} e^{3} - 400 \, a b^{4} d^{3} e^{4} + 1040 \, a^{2} b^{3} d^{2} e^{5} - 1430 \, a^{3} b^{2} d e^{6} - 6435 \, a^{4} b e^{7}\right)} x^{3} + 3 \, {\left(128 \, b^{5} d^{5} e^{2} - 800 \, a b^{4} d^{4} e^{3} + 2080 \, a^{2} b^{3} d^{3} e^{4} - 2860 \, a^{3} b^{2} d^{2} e^{5} + 2145 \, a^{4} b d e^{6} + 3003 \, a^{5} e^{7}\right)} x^{2} - {\left(512 \, b^{5} d^{6} e - 3200 \, a b^{4} d^{5} e^{2} + 8320 \, a^{2} b^{3} d^{4} e^{3} - 11440 \, a^{3} b^{2} d^{3} e^{4} + 8580 \, a^{4} b d^{2} e^{5} - 3003 \, a^{5} d e^{6}\right)} x\right)} \sqrt{e x + d} B}{45045 \, e^{7}}"," ",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)*A/e^6 + 2/45045*(3003*b^5*e^7*x^7 + 1024*b^5*d^7 - 6400*a*b^4*d^6*e + 16640*a^2*b^3*d^5*e^2 - 22880*a^3*b^2*d^4*e^3 + 17160*a^4*b*d^3*e^4 - 6006*a^5*d^2*e^5 + 231*(b^5*d*e^6 + 75*a*b^4*e^7)*x^6 - 63*(4*b^5*d^2*e^5 - 25*a*b^4*d*e^6 - 650*a^2*b^3*e^7)*x^5 + 70*(4*b^5*d^3*e^4 - 25*a*b^4*d^2*e^5 + 65*a^2*b^3*d*e^6 + 715*a^3*b^2*e^7)*x^4 - 5*(64*b^5*d^4*e^3 - 400*a*b^4*d^3*e^4 + 1040*a^2*b^3*d^2*e^5 - 1430*a^3*b^2*d*e^6 - 6435*a^4*b*e^7)*x^3 + 3*(128*b^5*d^5*e^2 - 800*a*b^4*d^4*e^3 + 2080*a^2*b^3*d^3*e^4 - 2860*a^3*b^2*d^2*e^5 + 2145*a^4*b*d*e^6 + 3003*a^5*e^7)*x^2 - (512*b^5*d^6*e - 3200*a*b^4*d^5*e^2 + 8320*a^2*b^3*d^4*e^3 - 11440*a^3*b^2*d^3*e^4 + 8580*a^4*b*d^2*e^5 - 3003*a^5*d*e^6)*x)*sqrt(e*x + d)*B/e^7","B",0
1855,1,758,0,0.736836," ","integrate((B*x+A)*(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)} A}{693 \, \sqrt{e x + d} e^{6}} + \frac{2 \, {\left(693 \, b^{5} e^{7} x^{7} + 3072 \, b^{5} d^{7} - 16640 \, a b^{4} d^{6} e + 36608 \, a^{2} b^{3} d^{5} e^{2} - 41184 \, a^{3} b^{2} d^{4} e^{3} + 24024 \, a^{4} b d^{3} e^{4} - 6006 \, a^{5} d^{2} e^{5} - 63 \, {\left(b^{5} d e^{6} - 65 \, a b^{4} e^{7}\right)} x^{6} + 7 \, {\left(12 \, b^{5} d^{2} e^{5} - 65 \, a b^{4} d e^{6} + 1430 \, a^{2} b^{3} e^{7}\right)} x^{5} - 10 \, {\left(12 \, b^{5} d^{3} e^{4} - 65 \, a b^{4} d^{2} e^{5} + 143 \, a^{2} b^{3} d e^{6} - 1287 \, a^{3} b^{2} e^{7}\right)} x^{4} + {\left(192 \, b^{5} d^{4} e^{3} - 1040 \, a b^{4} d^{3} e^{4} + 2288 \, a^{2} b^{3} d^{2} e^{5} - 2574 \, a^{3} b^{2} d e^{6} + 9009 \, a^{4} b e^{7}\right)} x^{3} - {\left(384 \, b^{5} d^{5} e^{2} - 2080 \, a b^{4} d^{4} e^{3} + 4576 \, a^{2} b^{3} d^{3} e^{4} - 5148 \, a^{3} b^{2} d^{2} e^{5} + 3003 \, a^{4} b d e^{6} - 3003 \, a^{5} e^{7}\right)} x^{2} + {\left(1536 \, b^{5} d^{6} e - 8320 \, a b^{4} d^{5} e^{2} + 18304 \, a^{2} b^{3} d^{4} e^{3} - 20592 \, a^{3} b^{2} d^{3} e^{4} + 12012 \, a^{4} b d^{2} e^{5} - 3003 \, a^{5} d e^{6}\right)} x\right)} B}{9009 \, \sqrt{e x + d} e^{7}}"," ",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)*A/(sqrt(e*x + d)*e^6) + 2/9009*(693*b^5*e^7*x^7 + 3072*b^5*d^7 - 16640*a*b^4*d^6*e + 36608*a^2*b^3*d^5*e^2 - 41184*a^3*b^2*d^4*e^3 + 24024*a^4*b*d^3*e^4 - 6006*a^5*d^2*e^5 - 63*(b^5*d*e^6 - 65*a*b^4*e^7)*x^6 + 7*(12*b^5*d^2*e^5 - 65*a*b^4*d*e^6 + 1430*a^2*b^3*e^7)*x^5 - 10*(12*b^5*d^3*e^4 - 65*a*b^4*d^2*e^5 + 143*a^2*b^3*d*e^6 - 1287*a^3*b^2*e^7)*x^4 + (192*b^5*d^4*e^3 - 1040*a*b^4*d^3*e^4 + 2288*a^2*b^3*d^2*e^5 - 2574*a^3*b^2*d*e^6 + 9009*a^4*b*e^7)*x^3 - (384*b^5*d^5*e^2 - 2080*a*b^4*d^4*e^3 + 4576*a^2*b^3*d^3*e^4 - 5148*a^3*b^2*d^2*e^5 + 3003*a^4*b*d*e^6 - 3003*a^5*e^7)*x^2 + (1536*b^5*d^6*e - 8320*a*b^4*d^5*e^2 + 18304*a^2*b^3*d^4*e^3 - 20592*a^3*b^2*d^3*e^4 + 12012*a^4*b*d^2*e^5 - 3003*a^5*d*e^6)*x)*B/(sqrt(e*x + d)*e^7)","B",0
1856,1,603,0,0.658949," ","integrate((B*x+A)*(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)} A}{63 \, \sqrt{e x + d} e^{6}} + \frac{2 \, {\left(63 \, b^{5} e^{6} x^{6} - 3072 \, b^{5} d^{6} + 14080 \, a b^{4} d^{5} e - 25344 \, a^{2} b^{3} d^{4} e^{2} + 22176 \, a^{3} b^{2} d^{3} e^{3} - 9240 \, a^{4} b d^{2} e^{4} + 1386 \, a^{5} d e^{5} - 7 \, {\left(12 \, b^{5} d e^{5} - 55 \, a b^{4} e^{6}\right)} x^{5} + 10 \, {\left(12 \, b^{5} d^{2} e^{4} - 55 \, a b^{4} d e^{5} + 99 \, a^{2} b^{3} e^{6}\right)} x^{4} - 2 \, {\left(96 \, b^{5} d^{3} e^{3} - 440 \, a b^{4} d^{2} e^{4} + 792 \, a^{2} b^{3} d e^{5} - 693 \, a^{3} b^{2} e^{6}\right)} x^{3} + {\left(384 \, b^{5} d^{4} e^{2} - 1760 \, a b^{4} d^{3} e^{3} + 3168 \, a^{2} b^{3} d^{2} e^{4} - 2772 \, a^{3} b^{2} d e^{5} + 1155 \, a^{4} b e^{6}\right)} x^{2} - {\left(1536 \, b^{5} d^{5} e - 7040 \, a b^{4} d^{4} e^{2} + 12672 \, a^{2} b^{3} d^{3} e^{3} - 11088 \, a^{3} b^{2} d^{2} e^{4} + 4620 \, a^{4} b d e^{5} - 693 \, a^{5} e^{6}\right)} x\right)} B}{693 \, \sqrt{e x + d} e^{7}}"," ",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)*A/(sqrt(e*x + d)*e^6) + 2/693*(63*b^5*e^6*x^6 - 3072*b^5*d^6 + 14080*a*b^4*d^5*e - 25344*a^2*b^3*d^4*e^2 + 22176*a^3*b^2*d^3*e^3 - 9240*a^4*b*d^2*e^4 + 1386*a^5*d*e^5 - 7*(12*b^5*d*e^5 - 55*a*b^4*e^6)*x^5 + 10*(12*b^5*d^2*e^4 - 55*a*b^4*d*e^5 + 99*a^2*b^3*e^6)*x^4 - 2*(96*b^5*d^3*e^3 - 440*a*b^4*d^2*e^4 + 792*a^2*b^3*d*e^5 - 693*a^3*b^2*e^6)*x^3 + (384*b^5*d^4*e^2 - 1760*a*b^4*d^3*e^3 + 3168*a^2*b^3*d^2*e^4 - 2772*a^3*b^2*d*e^5 + 1155*a^4*b*e^6)*x^2 - (1536*b^5*d^5*e - 7040*a*b^4*d^4*e^2 + 12672*a^2*b^3*d^3*e^3 - 11088*a^3*b^2*d^2*e^4 + 4620*a^4*b*d*e^5 - 693*a^5*e^6)*x)*B/(sqrt(e*x + d)*e^7)","A",0
1857,1,625,0,0.874701," ","integrate((B*x+A)*(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)} A}{21 \, {\left(e^{7} x + d e^{6}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(7 \, b^{5} e^{6} x^{6} + 1024 \, b^{5} d^{6} - 3840 \, a b^{4} d^{5} e + 5376 \, a^{2} b^{3} d^{4} e^{2} - 3360 \, a^{3} b^{2} d^{3} e^{3} + 840 \, a^{4} b d^{2} e^{4} - 42 \, a^{5} d e^{5} - 3 \, {\left(4 \, b^{5} d e^{5} - 15 \, a b^{4} e^{6}\right)} x^{5} + 6 \, {\left(4 \, b^{5} d^{2} e^{4} - 15 \, a b^{4} d e^{5} + 21 \, a^{2} b^{3} e^{6}\right)} x^{4} - 2 \, {\left(32 \, b^{5} d^{3} e^{3} - 120 \, a b^{4} d^{2} e^{4} + 168 \, a^{2} b^{3} d e^{5} - 105 \, a^{3} b^{2} e^{6}\right)} x^{3} + 3 \, {\left(128 \, b^{5} d^{4} e^{2} - 480 \, a b^{4} d^{3} e^{3} + 672 \, a^{2} b^{3} d^{2} e^{4} - 420 \, a^{3} b^{2} d e^{5} + 105 \, a^{4} b e^{6}\right)} x^{2} + 3 \, {\left(512 \, b^{5} d^{5} e - 1920 \, a b^{4} d^{4} e^{2} + 2688 \, a^{2} b^{3} d^{3} e^{3} - 1680 \, a^{3} b^{2} d^{2} e^{4} + 420 \, a^{4} b d e^{5} - 21 \, a^{5} e^{6}\right)} x\right)} B}{63 \, {\left(e^{8} x + d e^{7}\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)*A/((e^7*x + d*e^6)*sqrt(e*x + d)) + 2/63*(7*b^5*e^6*x^6 + 1024*b^5*d^6 - 3840*a*b^4*d^5*e + 5376*a^2*b^3*d^4*e^2 - 3360*a^3*b^2*d^3*e^3 + 840*a^4*b*d^2*e^4 - 42*a^5*d*e^5 - 3*(4*b^5*d*e^5 - 15*a*b^4*e^6)*x^5 + 6*(4*b^5*d^2*e^4 - 15*a*b^4*d*e^5 + 21*a^2*b^3*e^6)*x^4 - 2*(32*b^5*d^3*e^3 - 120*a*b^4*d^2*e^4 + 168*a^2*b^3*d*e^5 - 105*a^3*b^2*e^6)*x^3 + 3*(128*b^5*d^4*e^2 - 480*a*b^4*d^3*e^3 + 672*a^2*b^3*d^2*e^4 - 420*a^3*b^2*d*e^5 + 105*a^4*b*e^6)*x^2 + 3*(512*b^5*d^5*e - 1920*a*b^4*d^4*e^2 + 2688*a^2*b^3*d^3*e^3 - 1680*a^3*b^2*d^2*e^4 + 420*a^4*b*d*e^5 - 21*a^5*e^6)*x)*B/((e^8*x + d*e^7)*sqrt(e*x + d))","A",0
1858,1,647,0,0.784297," ","integrate((B*x+A)*(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)} A}{15 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(15 \, b^{5} e^{6} x^{6} - 3072 \, b^{5} d^{6} + 8960 \, a b^{4} d^{5} e - 8960 \, a^{2} b^{3} d^{4} e^{2} + 3360 \, a^{3} b^{2} d^{3} e^{3} - 280 \, a^{4} b d^{2} e^{4} - 14 \, a^{5} d e^{5} - 3 \, {\left(12 \, b^{5} d e^{5} - 35 \, a b^{4} e^{6}\right)} x^{5} + 10 \, {\left(12 \, b^{5} d^{2} e^{4} - 35 \, a b^{4} d e^{5} + 35 \, a^{2} b^{3} e^{6}\right)} x^{4} - 10 \, {\left(96 \, b^{5} d^{3} e^{3} - 280 \, a b^{4} d^{2} e^{4} + 280 \, a^{2} b^{3} d e^{5} - 105 \, a^{3} b^{2} e^{6}\right)} x^{3} - 15 \, {\left(384 \, b^{5} d^{4} e^{2} - 1120 \, a b^{4} d^{3} e^{3} + 1120 \, a^{2} b^{3} d^{2} e^{4} - 420 \, a^{3} b^{2} d e^{5} + 35 \, a^{4} b e^{6}\right)} x^{2} - 5 \, {\left(1536 \, b^{5} d^{5} e - 4480 \, a b^{4} d^{4} e^{2} + 4480 \, a^{2} b^{3} d^{3} e^{3} - 1680 \, a^{3} b^{2} d^{2} e^{4} + 140 \, a^{4} b d e^{5} + 7 \, a^{5} e^{6}\right)} x\right)} B}{105 \, {\left(e^{9} x^{2} + 2 \, d e^{8} x + d^{2} e^{7}\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)*A/((e^8*x^2 + 2*d*e^7*x + d^2*e^6)*sqrt(e*x + d)) + 2/105*(15*b^5*e^6*x^6 - 3072*b^5*d^6 + 8960*a*b^4*d^5*e - 8960*a^2*b^3*d^4*e^2 + 3360*a^3*b^2*d^3*e^3 - 280*a^4*b*d^2*e^4 - 14*a^5*d*e^5 - 3*(12*b^5*d*e^5 - 35*a*b^4*e^6)*x^5 + 10*(12*b^5*d^2*e^4 - 35*a*b^4*d*e^5 + 35*a^2*b^3*e^6)*x^4 - 10*(96*b^5*d^3*e^3 - 280*a*b^4*d^2*e^4 + 280*a^2*b^3*d*e^5 - 105*a^3*b^2*e^6)*x^3 - 15*(384*b^5*d^4*e^2 - 1120*a*b^4*d^3*e^3 + 1120*a^2*b^3*d^2*e^4 - 420*a^3*b^2*d*e^5 + 35*a^4*b*e^6)*x^2 - 5*(1536*b^5*d^5*e - 4480*a*b^4*d^4*e^2 + 4480*a^2*b^3*d^3*e^3 - 1680*a^3*b^2*d^2*e^4 + 140*a^4*b*d*e^5 + 7*a^5*e^6)*x)*B/((e^9*x^2 + 2*d*e^8*x + d^2*e^7)*sqrt(e*x + d))","A",0
1859,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{\sqrt{{\left(b x + a\right)}^{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(5/2)/sqrt((b*x + a)^2), x)","F",0
1860,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{{\left(b x + a\right)}^{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(3/2)/sqrt((b*x + a)^2), x)","F",0
1861,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{\sqrt{{\left(b x + a\right)}^{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/sqrt((b*x + a)^2), x)","F",0
1862,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{{\left(b x + a\right)}^{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt((b*x + a)^2)*sqrt(e*x + d)), x)","F",0
1863,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{{\left(b x + a\right)}^{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt((b*x + a)^2)*(e*x + d)^(3/2)), x)","F",0
1864,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{{\left(b x + a\right)}^{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt((b*x + a)^2)*(e*x + d)^(5/2)), x)","F",0
1865,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(7/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{{\left(b x + a\right)}^{2}} {\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt((b*x + a)^2)*(e*x + d)^(7/2)), x)","F",0
1866,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\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((B*x + A)*(e*x + d)^(7/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1867,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\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((B*x + A)*(e*x + d)^(5/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1868,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\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((B*x + A)*(e*x + d)^(3/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1869,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1870,0,0,0,0.000000," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*sqrt(e*x + d)), x)","F",0
1871,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\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((B*x + A)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(e*x + d)^(3/2)), x)","F",0
1872,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\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((B*x + A)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(e*x + d)^(5/2)), x)","F",0
1873,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\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((B*x + A)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(e*x + d)^(7/2)), x)","F",0
1874,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(11/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\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((B*x + A)*(e*x + d)^(11/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1875,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(9/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\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((B*x + A)*(e*x + d)^(9/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1876,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\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((B*x + A)*(e*x + d)^(7/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1877,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\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((B*x + A)*(e*x + d)^(5/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1878,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\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((B*x + A)*(e*x + d)^(3/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1879,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
1880,0,0,0,0.000000," ","integrate((B*x+A)/(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*sqrt(e*x + d)), x)","F",0
1881,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\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((B*x + A)/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(e*x + d)^(3/2)), x)","F",0
1882,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\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((B*x + A)/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(e*x + d)^(5/2)), x)","F",0
1883,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\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((B*x + A)/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(e*x + d)^(7/2)), x)","F",0
1884,1,957,0,0.908892," ","integrate((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^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} B a^{4}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \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 a^{3} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} A a^{4}}{e {\left(m + 1\right)}} + \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} B a^{3} b}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \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 a^{2} b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \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} B a^{2} b^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \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 a b^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{4 \, {\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 a b^{3}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \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} A b^{4}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{{\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 b^{4}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*B*a^4/((m^2 + 3*m + 2)*e^2) + 4*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*A*a^3*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*A*a^4/(e*(m + 1)) + 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*B*a^3*b/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 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*a^2*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 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*B*a^2*b^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 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*a*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 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*a*b^3/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + ((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^4/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + ((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*b^4/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6)","B",0
1885,1,364,0,0.763813," ","integrate((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^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} B a^{2}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \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 a b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} A 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} B a b}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \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 b^{2}}{{\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 b^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*B*a^2/((m^2 + 3*m + 2)*e^2) + 2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*A*a*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*A*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*B*a*b/((m^3 + 6*m^2 + 11*m + 6)*e^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) + ((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*b^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4)","B",0
1886,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1887,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2)^2, x)","F",0
1888,1,1864,0,0.818115," ","integrate((B*x+A)*(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} A}{{\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)} b^{5} e^{7} x^{7} + 240 \, {\left(m^{2} + 13 \, m + 42\right)} a^{2} b^{3} d^{5} e^{2} - 60 \, {\left(m^{3} + 18 \, m^{2} + 107 \, m + 210\right)} a^{3} b^{2} d^{4} e^{3} + 10 \, {\left(m^{4} + 22 \, m^{3} + 179 \, m^{2} + 638 \, m + 840\right)} a^{4} b d^{3} e^{4} - {\left(m^{5} + 25 \, m^{4} + 245 \, m^{3} + 1175 \, m^{2} + 2754 \, m + 2520\right)} a^{5} d^{2} e^{5} - 600 \, a b^{4} d^{6} e {\left(m + 7\right)} + 720 \, b^{5} d^{7} + {\left({\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} b^{5} d e^{6} + 5 \, {\left(m^{6} + 22 \, m^{5} + 190 \, m^{4} + 820 \, m^{3} + 1849 \, m^{2} + 2038 \, m + 840\right)} a b^{4} e^{7}\right)} x^{6} - {\left(6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} b^{5} d^{2} e^{5} - 5 \, {\left(m^{6} + 17 \, m^{5} + 105 \, m^{4} + 295 \, m^{3} + 374 \, m^{2} + 168 \, m\right)} a b^{4} d e^{6} - 10 \, {\left(m^{6} + 23 \, m^{5} + 207 \, m^{4} + 925 \, m^{3} + 2144 \, m^{2} + 2412 \, m + 1008\right)} a^{2} b^{3} e^{7}\right)} x^{5} + 5 \, {\left(6 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b^{5} d^{3} e^{4} - 5 \, {\left(m^{5} + 13 \, m^{4} + 53 \, m^{3} + 83 \, m^{2} + 42 \, m\right)} a b^{4} d^{2} e^{5} + 2 \, {\left(m^{6} + 19 \, m^{5} + 131 \, m^{4} + 401 \, m^{3} + 540 \, m^{2} + 252 \, m\right)} a^{2} b^{3} d e^{6} + 2 \, {\left(m^{6} + 24 \, m^{5} + 226 \, m^{4} + 1056 \, m^{3} + 2545 \, m^{2} + 2952 \, m + 1260\right)} a^{3} b^{2} e^{7}\right)} x^{4} - 5 \, {\left(24 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{5} d^{4} e^{3} - 20 \, {\left(m^{4} + 10 \, m^{3} + 23 \, m^{2} + 14 \, m\right)} a b^{4} d^{3} e^{4} + 8 \, {\left(m^{5} + 16 \, m^{4} + 83 \, m^{3} + 152 \, m^{2} + 84 \, m\right)} a^{2} b^{3} d^{2} e^{5} - 2 \, {\left(m^{6} + 21 \, m^{5} + 163 \, m^{4} + 567 \, m^{3} + 844 \, m^{2} + 420 \, m\right)} a^{3} b^{2} d e^{6} - {\left(m^{6} + 25 \, m^{5} + 247 \, m^{4} + 1219 \, m^{3} + 3112 \, m^{2} + 3796 \, m + 1680\right)} a^{4} b e^{7}\right)} x^{3} + {\left(360 \, {\left(m^{2} + m\right)} b^{5} d^{5} e^{2} - 300 \, {\left(m^{3} + 8 \, m^{2} + 7 \, m\right)} a b^{4} d^{4} e^{3} + 120 \, {\left(m^{4} + 14 \, m^{3} + 55 \, m^{2} + 42 \, m\right)} a^{2} b^{3} d^{3} e^{4} - 30 \, {\left(m^{5} + 19 \, m^{4} + 125 \, m^{3} + 317 \, m^{2} + 210 \, m\right)} a^{3} b^{2} d^{2} e^{5} + 5 \, {\left(m^{6} + 23 \, m^{5} + 201 \, m^{4} + 817 \, m^{3} + 1478 \, m^{2} + 840 \, m\right)} a^{4} b d e^{6} + {\left(m^{6} + 26 \, m^{5} + 270 \, m^{4} + 1420 \, m^{3} + 3929 \, m^{2} + 5274 \, m + 2520\right)} a^{5} e^{7}\right)} x^{2} + {\left(600 \, {\left(m^{2} + 7 \, m\right)} a b^{4} d^{5} e^{2} - 240 \, {\left(m^{3} + 13 \, m^{2} + 42 \, m\right)} a^{2} b^{3} d^{4} e^{3} + 60 \, {\left(m^{4} + 18 \, m^{3} + 107 \, m^{2} + 210 \, m\right)} a^{3} b^{2} d^{3} e^{4} - 10 \, {\left(m^{5} + 22 \, m^{4} + 179 \, m^{3} + 638 \, m^{2} + 840 \, m\right)} a^{4} b d^{2} e^{5} + {\left(m^{6} + 25 \, m^{5} + 245 \, m^{4} + 1175 \, m^{3} + 2754 \, m^{2} + 2520 \, m\right)} a^{5} d e^{6} - 720 \, b^{5} d^{6} e m\right)} x\right)} {\left(e x + d\right)}^{m} B}{{\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^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*A/((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)*b^5*e^7*x^7 + 240*(m^2 + 13*m + 42)*a^2*b^3*d^5*e^2 - 60*(m^3 + 18*m^2 + 107*m + 210)*a^3*b^2*d^4*e^3 + 10*(m^4 + 22*m^3 + 179*m^2 + 638*m + 840)*a^4*b*d^3*e^4 - (m^5 + 25*m^4 + 245*m^3 + 1175*m^2 + 2754*m + 2520)*a^5*d^2*e^5 - 600*a*b^4*d^6*e*(m + 7) + 720*b^5*d^7 + ((m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*b^5*d*e^6 + 5*(m^6 + 22*m^5 + 190*m^4 + 820*m^3 + 1849*m^2 + 2038*m + 840)*a*b^4*e^7)*x^6 - (6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*b^5*d^2*e^5 - 5*(m^6 + 17*m^5 + 105*m^4 + 295*m^3 + 374*m^2 + 168*m)*a*b^4*d*e^6 - 10*(m^6 + 23*m^5 + 207*m^4 + 925*m^3 + 2144*m^2 + 2412*m + 1008)*a^2*b^3*e^7)*x^5 + 5*(6*(m^4 + 6*m^3 + 11*m^2 + 6*m)*b^5*d^3*e^4 - 5*(m^5 + 13*m^4 + 53*m^3 + 83*m^2 + 42*m)*a*b^4*d^2*e^5 + 2*(m^6 + 19*m^5 + 131*m^4 + 401*m^3 + 540*m^2 + 252*m)*a^2*b^3*d*e^6 + 2*(m^6 + 24*m^5 + 226*m^4 + 1056*m^3 + 2545*m^2 + 2952*m + 1260)*a^3*b^2*e^7)*x^4 - 5*(24*(m^3 + 3*m^2 + 2*m)*b^5*d^4*e^3 - 20*(m^4 + 10*m^3 + 23*m^2 + 14*m)*a*b^4*d^3*e^4 + 8*(m^5 + 16*m^4 + 83*m^3 + 152*m^2 + 84*m)*a^2*b^3*d^2*e^5 - 2*(m^6 + 21*m^5 + 163*m^4 + 567*m^3 + 844*m^2 + 420*m)*a^3*b^2*d*e^6 - (m^6 + 25*m^5 + 247*m^4 + 1219*m^3 + 3112*m^2 + 3796*m + 1680)*a^4*b*e^7)*x^3 + (360*(m^2 + m)*b^5*d^5*e^2 - 300*(m^3 + 8*m^2 + 7*m)*a*b^4*d^4*e^3 + 120*(m^4 + 14*m^3 + 55*m^2 + 42*m)*a^2*b^3*d^3*e^4 - 30*(m^5 + 19*m^4 + 125*m^3 + 317*m^2 + 210*m)*a^3*b^2*d^2*e^5 + 5*(m^6 + 23*m^5 + 201*m^4 + 817*m^3 + 1478*m^2 + 840*m)*a^4*b*d*e^6 + (m^6 + 26*m^5 + 270*m^4 + 1420*m^3 + 3929*m^2 + 5274*m + 2520)*a^5*e^7)*x^2 + (600*(m^2 + 7*m)*a*b^4*d^5*e^2 - 240*(m^3 + 13*m^2 + 42*m)*a^2*b^3*d^4*e^3 + 60*(m^4 + 18*m^3 + 107*m^2 + 210*m)*a^3*b^2*d^3*e^4 - 10*(m^5 + 22*m^4 + 179*m^3 + 638*m^2 + 840*m)*a^4*b*d^2*e^5 + (m^6 + 25*m^5 + 245*m^4 + 1175*m^3 + 2754*m^2 + 2520*m)*a^5*d*e^6 - 720*b^5*d^6*e*m)*x)*(e*x + d)^m*B/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7)","B",0
1889,1,756,0,0.654741," ","integrate((B*x+A)*(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} A}{{\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)} b^{3} e^{5} x^{5} + 6 \, {\left(m^{2} + 9 \, m + 20\right)} a^{2} b d^{3} e^{2} - {\left(m^{3} + 12 \, m^{2} + 47 \, m + 60\right)} a^{3} d^{2} e^{3} - 18 \, a b^{2} d^{4} e {\left(m + 5\right)} + 24 \, b^{3} d^{5} + {\left({\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b^{3} d e^{4} + 3 \, {\left(m^{4} + 11 \, m^{3} + 41 \, m^{2} + 61 \, m + 30\right)} a b^{2} e^{5}\right)} x^{4} - {\left(4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{3} d^{2} e^{3} - 3 \, {\left(m^{4} + 8 \, m^{3} + 17 \, m^{2} + 10 \, m\right)} a b^{2} d e^{4} - 3 \, {\left(m^{4} + 12 \, m^{3} + 49 \, m^{2} + 78 \, m + 40\right)} a^{2} b e^{5}\right)} x^{3} + {\left(12 \, {\left(m^{2} + m\right)} b^{3} d^{3} e^{2} - 9 \, {\left(m^{3} + 6 \, m^{2} + 5 \, m\right)} a b^{2} d^{2} e^{3} + 3 \, {\left(m^{4} + 10 \, m^{3} + 29 \, m^{2} + 20 \, m\right)} a^{2} b d e^{4} + {\left(m^{4} + 13 \, m^{3} + 59 \, m^{2} + 107 \, m + 60\right)} a^{3} e^{5}\right)} x^{2} + {\left(18 \, {\left(m^{2} + 5 \, m\right)} a b^{2} d^{3} e^{2} - 6 \, {\left(m^{3} + 9 \, m^{2} + 20 \, m\right)} a^{2} b d^{2} e^{3} + {\left(m^{4} + 12 \, m^{3} + 47 \, m^{2} + 60 \, m\right)} a^{3} d e^{4} - 24 \, b^{3} d^{4} e m\right)} x\right)} {\left(e x + d\right)}^{m} B}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}}"," ",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*A/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^3*e^5*x^5 + 6*(m^2 + 9*m + 20)*a^2*b*d^3*e^2 - (m^3 + 12*m^2 + 47*m + 60)*a^3*d^2*e^3 - 18*a*b^2*d^4*e*(m + 5) + 24*b^3*d^5 + ((m^4 + 6*m^3 + 11*m^2 + 6*m)*b^3*d*e^4 + 3*(m^4 + 11*m^3 + 41*m^2 + 61*m + 30)*a*b^2*e^5)*x^4 - (4*(m^3 + 3*m^2 + 2*m)*b^3*d^2*e^3 - 3*(m^4 + 8*m^3 + 17*m^2 + 10*m)*a*b^2*d*e^4 - 3*(m^4 + 12*m^3 + 49*m^2 + 78*m + 40)*a^2*b*e^5)*x^3 + (12*(m^2 + m)*b^3*d^3*e^2 - 9*(m^3 + 6*m^2 + 5*m)*a*b^2*d^2*e^3 + 3*(m^4 + 10*m^3 + 29*m^2 + 20*m)*a^2*b*d*e^4 + (m^4 + 13*m^3 + 59*m^2 + 107*m + 60)*a^3*e^5)*x^2 + (18*(m^2 + 5*m)*a*b^2*d^3*e^2 - 6*(m^3 + 9*m^2 + 20*m)*a^2*b*d^2*e^3 + (m^4 + 12*m^3 + 47*m^2 + 60*m)*a^3*d*e^4 - 24*b^3*d^4*e*m)*x)*(e*x + d)^m*B/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5)","B",0
1890,1,177,0,0.587258," ","integrate((B*x+A)*(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} A}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} b e^{3} x^{3} - a d^{2} e {\left(m + 3\right)} + 2 \, b d^{3} + {\left({\left(m^{2} + m\right)} b d e^{2} + {\left(m^{2} + 4 \, m + 3\right)} a e^{3}\right)} x^{2} + {\left({\left(m^{2} + 3 \, m\right)} a d e^{2} - 2 \, b d^{2} e m\right)} x\right)} {\left(e x + d\right)}^{m} B}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}}"," ",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*A/((m^2 + 3*m + 2)*e^2) + ((m^2 + 3*m + 2)*b*e^3*x^3 - a*d^2*e*(m + 3) + 2*b*d^3 + ((m^2 + m)*b*d*e^2 + (m^2 + 4*m + 3)*a*e^3)*x^2 + ((m^2 + 3*m)*a*d*e^2 - 2*b*d^2*e*m)*x)*(e*x + d)^m*B/((m^3 + 6*m^2 + 11*m + 6)*e^3)","A",0
1891,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^m/sqrt(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1892,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\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((B*x + A)*(e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
1893,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((B*x + A)*(b^2*x^2 + 2*a*b*x + a^2)^p*(e*x + d)^m, x)","F",0
1894,0,0,0,0.000000," ","integrate((e*x+d)^(-3-2*p)*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\int {\left(g x + f\right)} {\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((g*x + f)*(b^2*x^2 + 2*a*b*x + a^2)^p*(e*x + d)^(-2*p - 3), x)","F",0
1895,1,277,0,0.580243," ","integrate((b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{9} \, b^{3} e^{5} x^{9} + a^{3} d^{5} x + \frac{1}{8} \, {\left(5 \, b^{3} d e^{4} + 3 \, a b^{2} e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(10 \, b^{3} d^{2} e^{3} + 15 \, a b^{2} d e^{4} + 3 \, a^{2} b e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(10 \, b^{3} d^{3} e^{2} + 30 \, a b^{2} d^{2} e^{3} + 15 \, a^{2} b d e^{4} + a^{3} e^{5}\right)} x^{6} + {\left(b^{3} d^{4} e + 6 \, a b^{2} d^{3} e^{2} + 6 \, a^{2} b d^{2} e^{3} + a^{3} d e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(b^{3} d^{5} + 15 \, a b^{2} d^{4} e + 30 \, a^{2} b d^{3} e^{2} + 10 \, a^{3} d^{2} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, a b^{2} d^{5} + 15 \, a^{2} b d^{4} e + 10 \, a^{3} d^{3} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b d^{5} + 5 \, a^{3} d^{4} e\right)} x^{2}"," ",0,"1/9*b^3*e^5*x^9 + a^3*d^5*x + 1/8*(5*b^3*d*e^4 + 3*a*b^2*e^5)*x^8 + 1/7*(10*b^3*d^2*e^3 + 15*a*b^2*d*e^4 + 3*a^2*b*e^5)*x^7 + 1/6*(10*b^3*d^3*e^2 + 30*a*b^2*d^2*e^3 + 15*a^2*b*d*e^4 + a^3*e^5)*x^6 + (b^3*d^4*e + 6*a*b^2*d^3*e^2 + 6*a^2*b*d^2*e^3 + a^3*d*e^4)*x^5 + 1/4*(b^3*d^5 + 15*a*b^2*d^4*e + 30*a^2*b*d^3*e^2 + 10*a^3*d^2*e^3)*x^4 + 1/3*(3*a*b^2*d^5 + 15*a^2*b*d^4*e + 10*a^3*d^3*e^2)*x^3 + 1/2*(3*a^2*b*d^5 + 5*a^3*d^4*e)*x^2","B",0
1896,1,225,0,0.500861," ","integrate((b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{8} \, b^{3} e^{4} x^{8} + a^{3} d^{4} x + \frac{1}{7} \, {\left(4 \, b^{3} d e^{3} + 3 \, a b^{2} e^{4}\right)} x^{7} + \frac{1}{2} \, {\left(2 \, b^{3} d^{2} e^{2} + 4 \, a b^{2} d e^{3} + a^{2} b e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(4 \, b^{3} d^{3} e + 18 \, a b^{2} d^{2} e^{2} + 12 \, a^{2} b d e^{3} + a^{3} e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(b^{3} d^{4} + 12 \, a b^{2} d^{3} e + 18 \, a^{2} b d^{2} e^{2} + 4 \, a^{3} d e^{3}\right)} x^{4} + {\left(a b^{2} d^{4} + 4 \, a^{2} b d^{3} e + 2 \, a^{3} d^{2} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b d^{4} + 4 \, a^{3} d^{3} e\right)} x^{2}"," ",0,"1/8*b^3*e^4*x^8 + a^3*d^4*x + 1/7*(4*b^3*d*e^3 + 3*a*b^2*e^4)*x^7 + 1/2*(2*b^3*d^2*e^2 + 4*a*b^2*d*e^3 + a^2*b*e^4)*x^6 + 1/5*(4*b^3*d^3*e + 18*a*b^2*d^2*e^2 + 12*a^2*b*d*e^3 + a^3*e^4)*x^5 + 1/4*(b^3*d^4 + 12*a*b^2*d^3*e + 18*a^2*b*d^2*e^2 + 4*a^3*d*e^3)*x^4 + (a*b^2*d^4 + 4*a^2*b*d^3*e + 2*a^3*d^2*e^2)*x^3 + 1/2*(3*a^2*b*d^4 + 4*a^3*d^3*e)*x^2","B",0
1897,1,167,0,0.515872," ","integrate((b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{7} \, b^{3} e^{3} x^{7} + a^{3} d^{3} x + \frac{1}{2} \, {\left(b^{3} d e^{2} + a b^{2} e^{3}\right)} x^{6} + \frac{3}{5} \, {\left(b^{3} d^{2} e + 3 \, a b^{2} d e^{2} + a^{2} b e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(b^{3} d^{3} + 9 \, a b^{2} d^{2} e + 9 \, a^{2} b d e^{2} + a^{3} e^{3}\right)} x^{4} + {\left(a b^{2} d^{3} + 3 \, a^{2} b d^{2} e + a^{3} d e^{2}\right)} x^{3} + \frac{3}{2} \, {\left(a^{2} b d^{3} + a^{3} d^{2} e\right)} x^{2}"," ",0,"1/7*b^3*e^3*x^7 + a^3*d^3*x + 1/2*(b^3*d*e^2 + a*b^2*e^3)*x^6 + 3/5*(b^3*d^2*e + 3*a*b^2*d*e^2 + a^2*b*e^3)*x^5 + 1/4*(b^3*d^3 + 9*a*b^2*d^2*e + 9*a^2*b*d*e^2 + a^3*e^3)*x^4 + (a*b^2*d^3 + 3*a^2*b*d^2*e + a^3*d*e^2)*x^3 + 3/2*(a^2*b*d^3 + a^3*d^2*e)*x^2","A",0
1898,1,124,0,0.528282," ","integrate((b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{6} \, b^{3} e^{2} x^{6} + a^{3} d^{2} x + \frac{1}{5} \, {\left(2 \, b^{3} d e + 3 \, a b^{2} e^{2}\right)} x^{5} + \frac{1}{4} \, {\left(b^{3} d^{2} + 6 \, a b^{2} d e + 3 \, a^{2} b e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, a b^{2} d^{2} + 6 \, a^{2} b d e + a^{3} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b d^{2} + 2 \, a^{3} d e\right)} x^{2}"," ",0,"1/6*b^3*e^2*x^6 + a^3*d^2*x + 1/5*(2*b^3*d*e + 3*a*b^2*e^2)*x^5 + 1/4*(b^3*d^2 + 6*a*b^2*d*e + 3*a^2*b*e^2)*x^4 + 1/3*(3*a*b^2*d^2 + 6*a^2*b*d*e + a^3*e^2)*x^3 + 1/2*(3*a^2*b*d^2 + 2*a^3*d*e)*x^2","B",0
1899,1,69,0,0.541024," ","integrate((b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{1}{5} \, b^{3} e x^{5} + a^{3} d x + \frac{1}{4} \, {\left(b^{3} d + 3 \, a b^{2} e\right)} x^{4} + {\left(a b^{2} d + a^{2} b e\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b d + a^{3} e\right)} x^{2}"," ",0,"1/5*b^3*e*x^5 + a^3*d*x + 1/4*(b^3*d + 3*a*b^2*e)*x^4 + (a*b^2*d + a^2*b*e)*x^3 + 1/2*(3*a^2*b*d + a^3*e)*x^2","B",0
1900,1,23,0,0.485555," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{2}}{4 \, b}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^2/b","A",0
1901,1,114,0,0.682631," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d),x, algorithm=""maxima"")","\frac{2 \, b^{3} e^{2} x^{3} - 3 \, {\left(b^{3} d e - 3 \, a b^{2} e^{2}\right)} x^{2} + 6 \, {\left(b^{3} d^{2} - 3 \, a b^{2} d e + 3 \, a^{2} b e^{2}\right)} x}{6 \, e^{3}} - \frac{{\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(2*b^3*e^2*x^3 - 3*(b^3*d*e - 3*a*b^2*e^2)*x^2 + 6*(b^3*d^2 - 3*a*b^2*d*e + 3*a^2*b*e^2)*x)/e^3 - (b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*log(e*x + d)/e^4","A",0
1902,1,117,0,0.596373," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^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}}{e^{5} x + d e^{4}} + \frac{b^{3} e x^{2} - 2 \, {\left(2 \, b^{3} d - 3 \, a b^{2} e\right)} x}{2 \, e^{3}} + \frac{3 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)/(e^5*x + d*e^4) + 1/2*(b^3*e*x^2 - 2*(2*b^3*d - 3*a*b^2*e)*x)/e^3 + 3*(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*log(e*x + d)/e^4","A",0
1903,1,125,0,0.486533," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^3,x, algorithm=""maxima"")","\frac{b^{3} x}{e^{3}} - \frac{5 \, b^{3} d^{3} - 9 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} + a^{3} e^{3} + 6 \, {\left(b^{3} d^{2} e - 2 \, a b^{2} d e^{2} + a^{2} b e^{3}\right)} x}{2 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} - \frac{3 \, {\left(b^{3} d - a b^{2} e\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"b^3*x/e^3 - 1/2*(5*b^3*d^3 - 9*a*b^2*d^2*e + 3*a^2*b*d*e^2 + a^3*e^3 + 6*(b^3*d^2*e - 2*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) - 3*(b^3*d - a*b^2*e)*log(e*x + d)/e^4","A",0
1904,1,143,0,0.459133," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{11 \, b^{3} d^{3} - 6 \, a b^{2} d^{2} e - 3 \, a^{2} b d e^{2} - 2 \, a^{3} e^{3} + 18 \, {\left(b^{3} d e^{2} - a b^{2} e^{3}\right)} x^{2} + 9 \, {\left(3 \, b^{3} d^{2} e - 2 \, a b^{2} d e^{2} - a^{2} b e^{3}\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)}} + \frac{b^{3} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(11*b^3*d^3 - 6*a*b^2*d^2*e - 3*a^2*b*d*e^2 - 2*a^3*e^3 + 18*(b^3*d*e^2 - a*b^2*e^3)*x^2 + 9*(3*b^3*d^2*e - 2*a*b^2*d*e^2 - 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) + b^3*log(e*x + d)/e^4","A",0
1905,1,517,0,0.487573," ","integrate((b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{12} \, b^{5} e^{6} x^{12} + a^{5} d^{6} x + \frac{1}{11} \, {\left(6 \, b^{5} d e^{5} + 5 \, a b^{4} e^{6}\right)} x^{11} + \frac{1}{2} \, {\left(3 \, b^{5} d^{2} e^{4} + 6 \, a b^{4} d e^{5} + 2 \, a^{2} b^{3} e^{6}\right)} x^{10} + \frac{5}{9} \, {\left(4 \, b^{5} d^{3} e^{3} + 15 \, a b^{4} d^{2} e^{4} + 12 \, a^{2} b^{3} d e^{5} + 2 \, a^{3} b^{2} e^{6}\right)} x^{9} + \frac{5}{8} \, {\left(3 \, b^{5} d^{4} e^{2} + 20 \, a b^{4} d^{3} e^{3} + 30 \, a^{2} b^{3} d^{2} e^{4} + 12 \, a^{3} b^{2} d e^{5} + a^{4} b e^{6}\right)} x^{8} + \frac{1}{7} \, {\left(6 \, b^{5} d^{5} e + 75 \, a b^{4} d^{4} e^{2} + 200 \, a^{2} b^{3} d^{3} e^{3} + 150 \, a^{3} b^{2} d^{2} e^{4} + 30 \, a^{4} b d e^{5} + a^{5} e^{6}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} d^{6} + 30 \, a b^{4} d^{5} e + 150 \, a^{2} b^{3} d^{4} e^{2} + 200 \, a^{3} b^{2} d^{3} e^{3} + 75 \, a^{4} b d^{2} e^{4} + 6 \, a^{5} d e^{5}\right)} x^{6} + {\left(a b^{4} d^{6} + 12 \, a^{2} b^{3} d^{5} e + 30 \, a^{3} b^{2} d^{4} e^{2} + 20 \, a^{4} b d^{3} e^{3} + 3 \, a^{5} d^{2} e^{4}\right)} x^{5} + \frac{5}{4} \, {\left(2 \, a^{2} b^{3} d^{6} + 12 \, a^{3} b^{2} d^{5} e + 15 \, a^{4} b d^{4} e^{2} + 4 \, a^{5} d^{3} e^{3}\right)} x^{4} + \frac{5}{3} \, {\left(2 \, a^{3} b^{2} d^{6} + 6 \, a^{4} b d^{5} e + 3 \, a^{5} d^{4} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{4} b d^{6} + 6 \, a^{5} d^{5} e\right)} x^{2}"," ",0,"1/12*b^5*e^6*x^12 + a^5*d^6*x + 1/11*(6*b^5*d*e^5 + 5*a*b^4*e^6)*x^11 + 1/2*(3*b^5*d^2*e^4 + 6*a*b^4*d*e^5 + 2*a^2*b^3*e^6)*x^10 + 5/9*(4*b^5*d^3*e^3 + 15*a*b^4*d^2*e^4 + 12*a^2*b^3*d*e^5 + 2*a^3*b^2*e^6)*x^9 + 5/8*(3*b^5*d^4*e^2 + 20*a*b^4*d^3*e^3 + 30*a^2*b^3*d^2*e^4 + 12*a^3*b^2*d*e^5 + a^4*b*e^6)*x^8 + 1/7*(6*b^5*d^5*e + 75*a*b^4*d^4*e^2 + 200*a^2*b^3*d^3*e^3 + 150*a^3*b^2*d^2*e^4 + 30*a^4*b*d*e^5 + a^5*e^6)*x^7 + 1/6*(b^5*d^6 + 30*a*b^4*d^5*e + 150*a^2*b^3*d^4*e^2 + 200*a^3*b^2*d^3*e^3 + 75*a^4*b*d^2*e^4 + 6*a^5*d*e^5)*x^6 + (a*b^4*d^6 + 12*a^2*b^3*d^5*e + 30*a^3*b^2*d^4*e^2 + 20*a^4*b*d^3*e^3 + 3*a^5*d^2*e^4)*x^5 + 5/4*(2*a^2*b^3*d^6 + 12*a^3*b^2*d^5*e + 15*a^4*b*d^4*e^2 + 4*a^5*d^3*e^3)*x^4 + 5/3*(2*a^3*b^2*d^6 + 6*a^4*b*d^5*e + 3*a^5*d^4*e^2)*x^3 + 1/2*(5*a^4*b*d^6 + 6*a^5*d^5*e)*x^2","B",0
1906,1,427,0,0.531528," ","integrate((b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{11} \, b^{5} e^{5} x^{11} + a^{5} d^{5} x + \frac{1}{2} \, {\left(b^{5} d e^{4} + a b^{4} e^{5}\right)} x^{10} + \frac{5}{9} \, {\left(2 \, b^{5} d^{2} e^{3} + 5 \, a b^{4} d e^{4} + 2 \, a^{2} b^{3} e^{5}\right)} x^{9} + \frac{5}{4} \, {\left(b^{5} d^{3} e^{2} + 5 \, a b^{4} d^{2} e^{3} + 5 \, a^{2} b^{3} d e^{4} + a^{3} b^{2} e^{5}\right)} x^{8} + \frac{5}{7} \, {\left(b^{5} d^{4} e + 10 \, a b^{4} d^{3} e^{2} + 20 \, a^{2} b^{3} d^{2} e^{3} + 10 \, a^{3} b^{2} d e^{4} + a^{4} b e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} d^{5} + 25 \, a b^{4} d^{4} e + 100 \, a^{2} b^{3} d^{3} e^{2} + 100 \, a^{3} b^{2} d^{2} e^{3} + 25 \, a^{4} b d e^{4} + a^{5} e^{5}\right)} x^{6} + {\left(a b^{4} d^{5} + 10 \, a^{2} b^{3} d^{4} e + 20 \, a^{3} b^{2} d^{3} e^{2} + 10 \, a^{4} b d^{2} e^{3} + a^{5} d e^{4}\right)} x^{5} + \frac{5}{2} \, {\left(a^{2} b^{3} d^{5} + 5 \, a^{3} b^{2} d^{4} e + 5 \, a^{4} b d^{3} e^{2} + a^{5} d^{2} e^{3}\right)} x^{4} + \frac{5}{3} \, {\left(2 \, a^{3} b^{2} d^{5} + 5 \, a^{4} b d^{4} e + 2 \, a^{5} d^{3} e^{2}\right)} x^{3} + \frac{5}{2} \, {\left(a^{4} b d^{5} + a^{5} d^{4} e\right)} x^{2}"," ",0,"1/11*b^5*e^5*x^11 + a^5*d^5*x + 1/2*(b^5*d*e^4 + a*b^4*e^5)*x^10 + 5/9*(2*b^5*d^2*e^3 + 5*a*b^4*d*e^4 + 2*a^2*b^3*e^5)*x^9 + 5/4*(b^5*d^3*e^2 + 5*a*b^4*d^2*e^3 + 5*a^2*b^3*d*e^4 + a^3*b^2*e^5)*x^8 + 5/7*(b^5*d^4*e + 10*a*b^4*d^3*e^2 + 20*a^2*b^3*d^2*e^3 + 10*a^3*b^2*d*e^4 + a^4*b*e^5)*x^7 + 1/6*(b^5*d^5 + 25*a*b^4*d^4*e + 100*a^2*b^3*d^3*e^2 + 100*a^3*b^2*d^2*e^3 + 25*a^4*b*d*e^4 + a^5*e^5)*x^6 + (a*b^4*d^5 + 10*a^2*b^3*d^4*e + 20*a^3*b^2*d^3*e^2 + 10*a^4*b*d^2*e^3 + a^5*d*e^4)*x^5 + 5/2*(a^2*b^3*d^5 + 5*a^3*b^2*d^4*e + 5*a^4*b*d^3*e^2 + a^5*d^2*e^3)*x^4 + 5/3*(2*a^3*b^2*d^5 + 5*a^4*b*d^4*e + 2*a^5*d^3*e^2)*x^3 + 5/2*(a^4*b*d^5 + a^5*d^4*e)*x^2","B",0
1907,1,360,0,0.637170," ","integrate((b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{10} \, b^{5} e^{4} x^{10} + a^{5} d^{4} x + \frac{1}{9} \, {\left(4 \, b^{5} d e^{3} + 5 \, a b^{4} e^{4}\right)} x^{9} + \frac{1}{4} \, {\left(3 \, b^{5} d^{2} e^{2} + 10 \, a b^{4} d e^{3} + 5 \, a^{2} b^{3} e^{4}\right)} x^{8} + \frac{2}{7} \, {\left(2 \, b^{5} d^{3} e + 15 \, a b^{4} d^{2} e^{2} + 20 \, a^{2} b^{3} d e^{3} + 5 \, a^{3} b^{2} e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} d^{4} + 20 \, a b^{4} d^{3} e + 60 \, a^{2} b^{3} d^{2} e^{2} + 40 \, a^{3} b^{2} d e^{3} + 5 \, a^{4} b e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(5 \, a b^{4} d^{4} + 40 \, a^{2} b^{3} d^{3} e + 60 \, a^{3} b^{2} d^{2} e^{2} + 20 \, a^{4} b d e^{3} + a^{5} e^{4}\right)} x^{5} + \frac{1}{2} \, {\left(5 \, a^{2} b^{3} d^{4} + 20 \, a^{3} b^{2} d^{3} e + 15 \, a^{4} b d^{2} e^{2} + 2 \, a^{5} d e^{3}\right)} x^{4} + \frac{2}{3} \, {\left(5 \, a^{3} b^{2} d^{4} + 10 \, a^{4} b d^{3} e + 3 \, a^{5} d^{2} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{4} b d^{4} + 4 \, a^{5} d^{3} e\right)} x^{2}"," ",0,"1/10*b^5*e^4*x^10 + a^5*d^4*x + 1/9*(4*b^5*d*e^3 + 5*a*b^4*e^4)*x^9 + 1/4*(3*b^5*d^2*e^2 + 10*a*b^4*d*e^3 + 5*a^2*b^3*e^4)*x^8 + 2/7*(2*b^5*d^3*e + 15*a*b^4*d^2*e^2 + 20*a^2*b^3*d*e^3 + 5*a^3*b^2*e^4)*x^7 + 1/6*(b^5*d^4 + 20*a*b^4*d^3*e + 60*a^2*b^3*d^2*e^2 + 40*a^3*b^2*d*e^3 + 5*a^4*b*e^4)*x^6 + 1/5*(5*a*b^4*d^4 + 40*a^2*b^3*d^3*e + 60*a^3*b^2*d^2*e^2 + 20*a^4*b*d*e^3 + a^5*e^4)*x^5 + 1/2*(5*a^2*b^3*d^4 + 20*a^3*b^2*d^3*e + 15*a^4*b*d^2*e^2 + 2*a^5*d*e^3)*x^4 + 2/3*(5*a^3*b^2*d^4 + 10*a^4*b*d^3*e + 3*a^5*d^2*e^2)*x^3 + 1/2*(5*a^4*b*d^4 + 4*a^5*d^3*e)*x^2","B",0
1908,1,277,0,0.613811," ","integrate((b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{9} \, b^{5} e^{3} x^{9} + a^{5} d^{3} x + \frac{1}{8} \, {\left(3 \, b^{5} d e^{2} + 5 \, a b^{4} e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(3 \, b^{5} d^{2} e + 15 \, a b^{4} d e^{2} + 10 \, a^{2} b^{3} e^{3}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} d^{3} + 15 \, a b^{4} d^{2} e + 30 \, a^{2} b^{3} d e^{2} + 10 \, a^{3} b^{2} e^{3}\right)} x^{6} + {\left(a b^{4} d^{3} + 6 \, a^{2} b^{3} d^{2} e + 6 \, a^{3} b^{2} d e^{2} + a^{4} b e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(10 \, a^{2} b^{3} d^{3} + 30 \, a^{3} b^{2} d^{2} e + 15 \, a^{4} b d e^{2} + a^{5} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, a^{3} b^{2} d^{3} + 15 \, a^{4} b d^{2} e + 3 \, a^{5} d e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{4} b d^{3} + 3 \, a^{5} d^{2} e\right)} x^{2}"," ",0,"1/9*b^5*e^3*x^9 + a^5*d^3*x + 1/8*(3*b^5*d*e^2 + 5*a*b^4*e^3)*x^8 + 1/7*(3*b^5*d^2*e + 15*a*b^4*d*e^2 + 10*a^2*b^3*e^3)*x^7 + 1/6*(b^5*d^3 + 15*a*b^4*d^2*e + 30*a^2*b^3*d*e^2 + 10*a^3*b^2*e^3)*x^6 + (a*b^4*d^3 + 6*a^2*b^3*d^2*e + 6*a^3*b^2*d*e^2 + a^4*b*e^3)*x^5 + 1/4*(10*a^2*b^3*d^3 + 30*a^3*b^2*d^2*e + 15*a^4*b*d*e^2 + a^5*e^3)*x^4 + 1/3*(10*a^3*b^2*d^3 + 15*a^4*b*d^2*e + 3*a^5*d*e^2)*x^3 + 1/2*(5*a^4*b*d^3 + 3*a^5*d^2*e)*x^2","B",0
1909,1,197,0,0.627918," ","integrate((b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{8} \, b^{5} e^{2} x^{8} + a^{5} d^{2} x + \frac{1}{7} \, {\left(2 \, b^{5} d e + 5 \, a b^{4} e^{2}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} d^{2} + 10 \, a b^{4} d e + 10 \, a^{2} b^{3} e^{2}\right)} x^{6} + {\left(a b^{4} d^{2} + 4 \, a^{2} b^{3} d e + 2 \, a^{3} b^{2} e^{2}\right)} x^{5} + \frac{5}{4} \, {\left(2 \, a^{2} b^{3} d^{2} + 4 \, a^{3} b^{2} d e + a^{4} b e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, a^{3} b^{2} d^{2} + 10 \, a^{4} b d e + a^{5} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{4} b d^{2} + 2 \, a^{5} d e\right)} x^{2}"," ",0,"1/8*b^5*e^2*x^8 + a^5*d^2*x + 1/7*(2*b^5*d*e + 5*a*b^4*e^2)*x^7 + 1/6*(b^5*d^2 + 10*a*b^4*d*e + 10*a^2*b^3*e^2)*x^6 + (a*b^4*d^2 + 4*a^2*b^3*d*e + 2*a^3*b^2*e^2)*x^5 + 5/4*(2*a^2*b^3*d^2 + 4*a^3*b^2*d*e + a^4*b*e^2)*x^4 + 1/3*(10*a^3*b^2*d^2 + 10*a^4*b*d*e + a^5*e^2)*x^3 + 1/2*(5*a^4*b*d^2 + 2*a^5*d*e)*x^2","B",0
1910,1,115,0,0.596687," ","integrate((b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{1}{7} \, b^{5} e x^{7} + a^{5} d x + \frac{1}{6} \, {\left(b^{5} d + 5 \, a b^{4} e\right)} x^{6} + {\left(a b^{4} d + 2 \, a^{2} b^{3} e\right)} x^{5} + \frac{5}{2} \, {\left(a^{2} b^{3} d + a^{3} b^{2} e\right)} x^{4} + \frac{5}{3} \, {\left(2 \, a^{3} b^{2} d + a^{4} b e\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{4} b d + a^{5} e\right)} x^{2}"," ",0,"1/7*b^5*e*x^7 + a^5*d*x + 1/6*(b^5*d + 5*a*b^4*e)*x^6 + (a*b^4*d + 2*a^2*b^3*e)*x^5 + 5/2*(a^2*b^3*d + a^3*b^2*e)*x^4 + 5/3*(2*a^3*b^2*d + a^4*b*e)*x^3 + 1/2*(5*a^4*b*d + a^5*e)*x^2","B",0
1911,1,23,0,0.483743," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{3}}{6 \, b}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^3/b","A",0
1912,1,258,0,0.545654," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d),x, algorithm=""maxima"")","\frac{12 \, b^{5} e^{4} x^{5} - 15 \, {\left(b^{5} d e^{3} - 5 \, a b^{4} e^{4}\right)} x^{4} + 20 \, {\left(b^{5} d^{2} e^{2} - 5 \, a b^{4} d e^{3} + 10 \, a^{2} b^{3} e^{4}\right)} x^{3} - 30 \, {\left(b^{5} d^{3} e - 5 \, a b^{4} d^{2} e^{2} + 10 \, a^{2} b^{3} d e^{3} - 10 \, a^{3} b^{2} e^{4}\right)} x^{2} + 60 \, {\left(b^{5} d^{4} - 5 \, a b^{4} d^{3} e + 10 \, a^{2} b^{3} d^{2} e^{2} - 10 \, a^{3} b^{2} d e^{3} + 5 \, a^{4} b e^{4}\right)} x}{60 \, e^{5}} - \frac{{\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/60*(12*b^5*e^4*x^5 - 15*(b^5*d*e^3 - 5*a*b^4*e^4)*x^4 + 20*(b^5*d^2*e^2 - 5*a*b^4*d*e^3 + 10*a^2*b^3*e^4)*x^3 - 30*(b^5*d^3*e - 5*a*b^4*d^2*e^2 + 10*a^2*b^3*d*e^3 - 10*a^3*b^2*e^4)*x^2 + 60*(b^5*d^4 - 5*a*b^4*d^3*e + 10*a^2*b^3*d^2*e^2 - 10*a^3*b^2*d*e^3 + 5*a^4*b*e^4)*x)/e^5 - (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)*log(e*x + d)/e^6","B",0
1913,1,264,0,0.511324," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^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}}{e^{7} x + d e^{6}} + \frac{3 \, b^{5} e^{3} x^{4} - 4 \, {\left(2 \, b^{5} d e^{2} - 5 \, a b^{4} e^{3}\right)} x^{3} + 6 \, {\left(3 \, b^{5} d^{2} e - 10 \, a b^{4} d e^{2} + 10 \, a^{2} b^{3} e^{3}\right)} x^{2} - 12 \, {\left(4 \, b^{5} d^{3} - 15 \, a b^{4} d^{2} e + 20 \, a^{2} b^{3} d e^{2} - 10 \, a^{3} b^{2} e^{3}\right)} x}{12 \, e^{5}} + \frac{5 \, {\left(b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}\right)} \log\left(e x + d\right)}{e^{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)/(e^7*x + d*e^6) + 1/12*(3*b^5*e^3*x^4 - 4*(2*b^5*d*e^2 - 5*a*b^4*e^3)*x^3 + 6*(3*b^5*d^2*e - 10*a*b^4*d*e^2 + 10*a^2*b^3*e^3)*x^2 - 12*(4*b^5*d^3 - 15*a*b^4*d^2*e + 20*a^2*b^3*d*e^2 - 10*a^3*b^2*e^3)*x)/e^5 + 5*(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4)*log(e*x + d)/e^6","B",0
1914,1,271,0,0.722766," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{9 \, b^{5} d^{5} - 35 \, a b^{4} d^{4} e + 50 \, a^{2} b^{3} d^{3} e^{2} - 30 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} + a^{5} e^{5} + 10 \, {\left(b^{5} d^{4} e - 4 \, a b^{4} d^{3} e^{2} + 6 \, a^{2} b^{3} d^{2} e^{3} - 4 \, a^{3} b^{2} d e^{4} + a^{4} b e^{5}\right)} x}{2 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)}} + \frac{2 \, b^{5} e^{2} x^{3} - 3 \, {\left(3 \, b^{5} d e - 5 \, a b^{4} e^{2}\right)} x^{2} + 6 \, {\left(6 \, b^{5} d^{2} - 15 \, a b^{4} d e + 10 \, a^{2} b^{3} e^{2}\right)} x}{6 \, e^{5}} - \frac{10 \, {\left(b^{5} d^{3} - 3 \, a b^{4} d^{2} e + 3 \, a^{2} b^{3} d e^{2} - a^{3} b^{2} e^{3}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"-1/2*(9*b^5*d^5 - 35*a*b^4*d^4*e + 50*a^2*b^3*d^3*e^2 - 30*a^3*b^2*d^2*e^3 + 5*a^4*b*d*e^4 + a^5*e^5 + 10*(b^5*d^4*e - 4*a*b^4*d^3*e^2 + 6*a^2*b^3*d^2*e^3 - 4*a^3*b^2*d*e^4 + a^4*b*e^5)*x)/(e^8*x^2 + 2*d*e^7*x + d^2*e^6) + 1/6*(2*b^5*e^2*x^3 - 3*(3*b^5*d*e - 5*a*b^4*e^2)*x^2 + 6*(6*b^5*d^2 - 15*a*b^4*d*e + 10*a^2*b^3*e^2)*x)/e^5 - 10*(b^5*d^3 - 3*a*b^4*d^2*e + 3*a^2*b^3*d*e^2 - a^3*b^2*e^3)*log(e*x + d)/e^6","B",0
1915,1,282,0,0.757068," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{47 \, b^{5} d^{5} - 130 \, a b^{4} d^{4} e + 110 \, a^{2} b^{3} d^{3} e^{2} - 20 \, a^{3} b^{2} d^{2} e^{3} - 5 \, a^{4} b d e^{4} - 2 \, 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(7 \, b^{5} d^{4} e - 20 \, a b^{4} d^{3} e^{2} + 18 \, a^{2} b^{3} d^{2} e^{3} - 4 \, a^{3} b^{2} d e^{4} - a^{4} b e^{5}\right)} x}{6 \, {\left(e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}\right)}} + \frac{b^{5} e x^{2} - 2 \, {\left(4 \, b^{5} d - 5 \, a b^{4} e\right)} x}{2 \, e^{5}} + \frac{10 \, {\left(b^{5} d^{2} - 2 \, a b^{4} d e + a^{2} b^{3} e^{2}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/6*(47*b^5*d^5 - 130*a*b^4*d^4*e + 110*a^2*b^3*d^3*e^2 - 20*a^3*b^2*d^2*e^3 - 5*a^4*b*d*e^4 - 2*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*(7*b^5*d^4*e - 20*a*b^4*d^3*e^2 + 18*a^2*b^3*d^2*e^3 - 4*a^3*b^2*d*e^4 - 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) + 1/2*(b^5*e*x^2 - 2*(4*b^5*d - 5*a*b^4*e)*x)/e^5 + 10*(b^5*d^2 - 2*a*b^4*d*e + a^2*b^3*e^2)*log(e*x + d)/e^6","B",0
1916,1,706,0,0.607372," ","integrate((b*x+a)*(e*x+d)^6*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{14} \, b^{7} e^{6} x^{14} + a^{7} d^{6} x + \frac{1}{13} \, {\left(6 \, b^{7} d e^{5} + 7 \, a b^{6} e^{6}\right)} x^{13} + \frac{1}{4} \, {\left(5 \, b^{7} d^{2} e^{4} + 14 \, a b^{6} d e^{5} + 7 \, a^{2} b^{5} e^{6}\right)} x^{12} + \frac{1}{11} \, {\left(20 \, b^{7} d^{3} e^{3} + 105 \, a b^{6} d^{2} e^{4} + 126 \, a^{2} b^{5} d e^{5} + 35 \, a^{3} b^{4} e^{6}\right)} x^{11} + \frac{1}{2} \, {\left(3 \, b^{7} d^{4} e^{2} + 28 \, a b^{6} d^{3} e^{3} + 63 \, a^{2} b^{5} d^{2} e^{4} + 42 \, a^{3} b^{4} d e^{5} + 7 \, a^{4} b^{3} e^{6}\right)} x^{10} + \frac{1}{3} \, {\left(2 \, b^{7} d^{5} e + 35 \, a b^{6} d^{4} e^{2} + 140 \, a^{2} b^{5} d^{3} e^{3} + 175 \, a^{3} b^{4} d^{2} e^{4} + 70 \, a^{4} b^{3} d e^{5} + 7 \, a^{5} b^{2} e^{6}\right)} x^{9} + \frac{1}{8} \, {\left(b^{7} d^{6} + 42 \, a b^{6} d^{5} e + 315 \, a^{2} b^{5} d^{4} e^{2} + 700 \, a^{3} b^{4} d^{3} e^{3} + 525 \, a^{4} b^{3} d^{2} e^{4} + 126 \, a^{5} b^{2} d e^{5} + 7 \, a^{6} b e^{6}\right)} x^{8} + \frac{1}{7} \, {\left(7 \, a b^{6} d^{6} + 126 \, a^{2} b^{5} d^{5} e + 525 \, a^{3} b^{4} d^{4} e^{2} + 700 \, a^{4} b^{3} d^{3} e^{3} + 315 \, a^{5} b^{2} d^{2} e^{4} + 42 \, a^{6} b d e^{5} + a^{7} e^{6}\right)} x^{7} + \frac{1}{2} \, {\left(7 \, a^{2} b^{5} d^{6} + 70 \, a^{3} b^{4} d^{5} e + 175 \, a^{4} b^{3} d^{4} e^{2} + 140 \, a^{5} b^{2} d^{3} e^{3} + 35 \, a^{6} b d^{2} e^{4} + 2 \, a^{7} d e^{5}\right)} x^{6} + {\left(7 \, a^{3} b^{4} d^{6} + 42 \, a^{4} b^{3} d^{5} e + 63 \, a^{5} b^{2} d^{4} e^{2} + 28 \, a^{6} b d^{3} e^{3} + 3 \, a^{7} d^{2} e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(35 \, a^{4} b^{3} d^{6} + 126 \, a^{5} b^{2} d^{5} e + 105 \, a^{6} b d^{4} e^{2} + 20 \, a^{7} d^{3} e^{3}\right)} x^{4} + {\left(7 \, a^{5} b^{2} d^{6} + 14 \, a^{6} b d^{5} e + 5 \, a^{7} d^{4} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(7 \, a^{6} b d^{6} + 6 \, a^{7} d^{5} e\right)} x^{2}"," ",0,"1/14*b^7*e^6*x^14 + a^7*d^6*x + 1/13*(6*b^7*d*e^5 + 7*a*b^6*e^6)*x^13 + 1/4*(5*b^7*d^2*e^4 + 14*a*b^6*d*e^5 + 7*a^2*b^5*e^6)*x^12 + 1/11*(20*b^7*d^3*e^3 + 105*a*b^6*d^2*e^4 + 126*a^2*b^5*d*e^5 + 35*a^3*b^4*e^6)*x^11 + 1/2*(3*b^7*d^4*e^2 + 28*a*b^6*d^3*e^3 + 63*a^2*b^5*d^2*e^4 + 42*a^3*b^4*d*e^5 + 7*a^4*b^3*e^6)*x^10 + 1/3*(2*b^7*d^5*e + 35*a*b^6*d^4*e^2 + 140*a^2*b^5*d^3*e^3 + 175*a^3*b^4*d^2*e^4 + 70*a^4*b^3*d*e^5 + 7*a^5*b^2*e^6)*x^9 + 1/8*(b^7*d^6 + 42*a*b^6*d^5*e + 315*a^2*b^5*d^4*e^2 + 700*a^3*b^4*d^3*e^3 + 525*a^4*b^3*d^2*e^4 + 126*a^5*b^2*d*e^5 + 7*a^6*b*e^6)*x^8 + 1/7*(7*a*b^6*d^6 + 126*a^2*b^5*d^5*e + 525*a^3*b^4*d^4*e^2 + 700*a^4*b^3*d^3*e^3 + 315*a^5*b^2*d^2*e^4 + 42*a^6*b*d*e^5 + a^7*e^6)*x^7 + 1/2*(7*a^2*b^5*d^6 + 70*a^3*b^4*d^5*e + 175*a^4*b^3*d^4*e^2 + 140*a^5*b^2*d^3*e^3 + 35*a^6*b*d^2*e^4 + 2*a^7*d*e^5)*x^6 + (7*a^3*b^4*d^6 + 42*a^4*b^3*d^5*e + 63*a^5*b^2*d^4*e^2 + 28*a^6*b*d^3*e^3 + 3*a^7*d^2*e^4)*x^5 + 1/4*(35*a^4*b^3*d^6 + 126*a^5*b^2*d^5*e + 105*a^6*b*d^4*e^2 + 20*a^7*d^3*e^3)*x^4 + (7*a^5*b^2*d^6 + 14*a^6*b*d^5*e + 5*a^7*d^4*e^2)*x^3 + 1/2*(7*a^6*b*d^6 + 6*a^7*d^5*e)*x^2","B",0
1917,1,594,0,0.571268," ","integrate((b*x+a)*(e*x+d)^5*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{13} \, b^{7} e^{5} x^{13} + a^{7} d^{5} x + \frac{1}{12} \, {\left(5 \, b^{7} d e^{4} + 7 \, a b^{6} e^{5}\right)} x^{12} + \frac{1}{11} \, {\left(10 \, b^{7} d^{2} e^{3} + 35 \, a b^{6} d e^{4} + 21 \, a^{2} b^{5} e^{5}\right)} x^{11} + \frac{1}{2} \, {\left(2 \, b^{7} d^{3} e^{2} + 14 \, a b^{6} d^{2} e^{3} + 21 \, a^{2} b^{5} d e^{4} + 7 \, a^{3} b^{4} e^{5}\right)} x^{10} + \frac{5}{9} \, {\left(b^{7} d^{4} e + 14 \, a b^{6} d^{3} e^{2} + 42 \, a^{2} b^{5} d^{2} e^{3} + 35 \, a^{3} b^{4} d e^{4} + 7 \, a^{4} b^{3} e^{5}\right)} x^{9} + \frac{1}{8} \, {\left(b^{7} d^{5} + 35 \, a b^{6} d^{4} e + 210 \, a^{2} b^{5} d^{3} e^{2} + 350 \, a^{3} b^{4} d^{2} e^{3} + 175 \, a^{4} b^{3} d e^{4} + 21 \, a^{5} b^{2} e^{5}\right)} x^{8} + {\left(a b^{6} d^{5} + 15 \, a^{2} b^{5} d^{4} e + 50 \, a^{3} b^{4} d^{3} e^{2} + 50 \, a^{4} b^{3} d^{2} e^{3} + 15 \, a^{5} b^{2} d e^{4} + a^{6} b e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(21 \, a^{2} b^{5} d^{5} + 175 \, a^{3} b^{4} d^{4} e + 350 \, a^{4} b^{3} d^{3} e^{2} + 210 \, a^{5} b^{2} d^{2} e^{3} + 35 \, a^{6} b d e^{4} + a^{7} e^{5}\right)} x^{6} + {\left(7 \, a^{3} b^{4} d^{5} + 35 \, a^{4} b^{3} d^{4} e + 42 \, a^{5} b^{2} d^{3} e^{2} + 14 \, a^{6} b d^{2} e^{3} + a^{7} d e^{4}\right)} x^{5} + \frac{5}{4} \, {\left(7 \, a^{4} b^{3} d^{5} + 21 \, a^{5} b^{2} d^{4} e + 14 \, a^{6} b d^{3} e^{2} + 2 \, a^{7} d^{2} e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(21 \, a^{5} b^{2} d^{5} + 35 \, a^{6} b d^{4} e + 10 \, a^{7} d^{3} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(7 \, a^{6} b d^{5} + 5 \, a^{7} d^{4} e\right)} x^{2}"," ",0,"1/13*b^7*e^5*x^13 + a^7*d^5*x + 1/12*(5*b^7*d*e^4 + 7*a*b^6*e^5)*x^12 + 1/11*(10*b^7*d^2*e^3 + 35*a*b^6*d*e^4 + 21*a^2*b^5*e^5)*x^11 + 1/2*(2*b^7*d^3*e^2 + 14*a*b^6*d^2*e^3 + 21*a^2*b^5*d*e^4 + 7*a^3*b^4*e^5)*x^10 + 5/9*(b^7*d^4*e + 14*a*b^6*d^3*e^2 + 42*a^2*b^5*d^2*e^3 + 35*a^3*b^4*d*e^4 + 7*a^4*b^3*e^5)*x^9 + 1/8*(b^7*d^5 + 35*a*b^6*d^4*e + 210*a^2*b^5*d^3*e^2 + 350*a^3*b^4*d^2*e^3 + 175*a^4*b^3*d*e^4 + 21*a^5*b^2*e^5)*x^8 + (a*b^6*d^5 + 15*a^2*b^5*d^4*e + 50*a^3*b^4*d^3*e^2 + 50*a^4*b^3*d^2*e^3 + 15*a^5*b^2*d*e^4 + a^6*b*e^5)*x^7 + 1/6*(21*a^2*b^5*d^5 + 175*a^3*b^4*d^4*e + 350*a^4*b^3*d^3*e^2 + 210*a^5*b^2*d^2*e^3 + 35*a^6*b*d*e^4 + a^7*e^5)*x^6 + (7*a^3*b^4*d^5 + 35*a^4*b^3*d^4*e + 42*a^5*b^2*d^3*e^2 + 14*a^6*b*d^2*e^3 + a^7*d*e^4)*x^5 + 5/4*(7*a^4*b^3*d^5 + 21*a^5*b^2*d^4*e + 14*a^6*b*d^3*e^2 + 2*a^7*d^2*e^3)*x^4 + 1/3*(21*a^5*b^2*d^5 + 35*a^6*b*d^4*e + 10*a^7*d^3*e^2)*x^3 + 1/2*(7*a^6*b*d^5 + 5*a^7*d^4*e)*x^2","B",0
1918,1,489,0,0.591582," ","integrate((b*x+a)*(e*x+d)^4*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{12} \, b^{7} e^{4} x^{12} + a^{7} d^{4} x + \frac{1}{11} \, {\left(4 \, b^{7} d e^{3} + 7 \, a b^{6} e^{4}\right)} x^{11} + \frac{1}{10} \, {\left(6 \, b^{7} d^{2} e^{2} + 28 \, a b^{6} d e^{3} + 21 \, a^{2} b^{5} e^{4}\right)} x^{10} + \frac{1}{9} \, {\left(4 \, b^{7} d^{3} e + 42 \, a b^{6} d^{2} e^{2} + 84 \, a^{2} b^{5} d e^{3} + 35 \, a^{3} b^{4} e^{4}\right)} x^{9} + \frac{1}{8} \, {\left(b^{7} d^{4} + 28 \, a b^{6} d^{3} e + 126 \, a^{2} b^{5} d^{2} e^{2} + 140 \, a^{3} b^{4} d e^{3} + 35 \, a^{4} b^{3} e^{4}\right)} x^{8} + {\left(a b^{6} d^{4} + 12 \, a^{2} b^{5} d^{3} e + 30 \, a^{3} b^{4} d^{2} e^{2} + 20 \, a^{4} b^{3} d e^{3} + 3 \, a^{5} b^{2} e^{4}\right)} x^{7} + \frac{7}{6} \, {\left(3 \, a^{2} b^{5} d^{4} + 20 \, a^{3} b^{4} d^{3} e + 30 \, a^{4} b^{3} d^{2} e^{2} + 12 \, a^{5} b^{2} d e^{3} + a^{6} b e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(35 \, a^{3} b^{4} d^{4} + 140 \, a^{4} b^{3} d^{3} e + 126 \, a^{5} b^{2} d^{2} e^{2} + 28 \, a^{6} b d e^{3} + a^{7} e^{4}\right)} x^{5} + \frac{1}{4} \, {\left(35 \, a^{4} b^{3} d^{4} + 84 \, a^{5} b^{2} d^{3} e + 42 \, a^{6} b d^{2} e^{2} + 4 \, a^{7} d e^{3}\right)} x^{4} + \frac{1}{3} \, {\left(21 \, a^{5} b^{2} d^{4} + 28 \, a^{6} b d^{3} e + 6 \, a^{7} d^{2} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(7 \, a^{6} b d^{4} + 4 \, a^{7} d^{3} e\right)} x^{2}"," ",0,"1/12*b^7*e^4*x^12 + a^7*d^4*x + 1/11*(4*b^7*d*e^3 + 7*a*b^6*e^4)*x^11 + 1/10*(6*b^7*d^2*e^2 + 28*a*b^6*d*e^3 + 21*a^2*b^5*e^4)*x^10 + 1/9*(4*b^7*d^3*e + 42*a*b^6*d^2*e^2 + 84*a^2*b^5*d*e^3 + 35*a^3*b^4*e^4)*x^9 + 1/8*(b^7*d^4 + 28*a*b^6*d^3*e + 126*a^2*b^5*d^2*e^2 + 140*a^3*b^4*d*e^3 + 35*a^4*b^3*e^4)*x^8 + (a*b^6*d^4 + 12*a^2*b^5*d^3*e + 30*a^3*b^4*d^2*e^2 + 20*a^4*b^3*d*e^3 + 3*a^5*b^2*e^4)*x^7 + 7/6*(3*a^2*b^5*d^4 + 20*a^3*b^4*d^3*e + 30*a^4*b^3*d^2*e^2 + 12*a^5*b^2*d*e^3 + a^6*b*e^4)*x^6 + 1/5*(35*a^3*b^4*d^4 + 140*a^4*b^3*d^3*e + 126*a^5*b^2*d^2*e^2 + 28*a^6*b*d*e^3 + a^7*e^4)*x^5 + 1/4*(35*a^4*b^3*d^4 + 84*a^5*b^2*d^3*e + 42*a^6*b*d^2*e^2 + 4*a^7*d*e^3)*x^4 + 1/3*(21*a^5*b^2*d^4 + 28*a^6*b*d^3*e + 6*a^7*d^2*e^2)*x^3 + 1/2*(7*a^6*b*d^4 + 4*a^7*d^3*e)*x^2","B",0
1919,1,376,0,0.584496," ","integrate((b*x+a)*(e*x+d)^3*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{11} \, b^{7} e^{3} x^{11} + a^{7} d^{3} x + \frac{1}{10} \, {\left(3 \, b^{7} d e^{2} + 7 \, a b^{6} e^{3}\right)} x^{10} + \frac{1}{3} \, {\left(b^{7} d^{2} e + 7 \, a b^{6} d e^{2} + 7 \, a^{2} b^{5} e^{3}\right)} x^{9} + \frac{1}{8} \, {\left(b^{7} d^{3} + 21 \, a b^{6} d^{2} e + 63 \, a^{2} b^{5} d e^{2} + 35 \, a^{3} b^{4} e^{3}\right)} x^{8} + {\left(a b^{6} d^{3} + 9 \, a^{2} b^{5} d^{2} e + 15 \, a^{3} b^{4} d e^{2} + 5 \, a^{4} b^{3} e^{3}\right)} x^{7} + \frac{7}{2} \, {\left(a^{2} b^{5} d^{3} + 5 \, a^{3} b^{4} d^{2} e + 5 \, a^{4} b^{3} d e^{2} + a^{5} b^{2} e^{3}\right)} x^{6} + \frac{7}{5} \, {\left(5 \, a^{3} b^{4} d^{3} + 15 \, a^{4} b^{3} d^{2} e + 9 \, a^{5} b^{2} d e^{2} + a^{6} b e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(35 \, a^{4} b^{3} d^{3} + 63 \, a^{5} b^{2} d^{2} e + 21 \, a^{6} b d e^{2} + a^{7} e^{3}\right)} x^{4} + {\left(7 \, a^{5} b^{2} d^{3} + 7 \, a^{6} b d^{2} e + a^{7} d e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(7 \, a^{6} b d^{3} + 3 \, a^{7} d^{2} e\right)} x^{2}"," ",0,"1/11*b^7*e^3*x^11 + a^7*d^3*x + 1/10*(3*b^7*d*e^2 + 7*a*b^6*e^3)*x^10 + 1/3*(b^7*d^2*e + 7*a*b^6*d*e^2 + 7*a^2*b^5*e^3)*x^9 + 1/8*(b^7*d^3 + 21*a*b^6*d^2*e + 63*a^2*b^5*d*e^2 + 35*a^3*b^4*e^3)*x^8 + (a*b^6*d^3 + 9*a^2*b^5*d^2*e + 15*a^3*b^4*d*e^2 + 5*a^4*b^3*e^3)*x^7 + 7/2*(a^2*b^5*d^3 + 5*a^3*b^4*d^2*e + 5*a^4*b^3*d*e^2 + a^5*b^2*e^3)*x^6 + 7/5*(5*a^3*b^4*d^3 + 15*a^4*b^3*d^2*e + 9*a^5*b^2*d*e^2 + a^6*b*e^3)*x^5 + 1/4*(35*a^4*b^3*d^3 + 63*a^5*b^2*d^2*e + 21*a^6*b*d*e^2 + a^7*e^3)*x^4 + (7*a^5*b^2*d^3 + 7*a^6*b*d^2*e + a^7*d*e^2)*x^3 + 1/2*(7*a^6*b*d^3 + 3*a^7*d^2*e)*x^2","B",0
1920,1,273,0,0.558014," ","integrate((b*x+a)*(e*x+d)^2*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{10} \, b^{7} e^{2} x^{10} + a^{7} d^{2} x + \frac{1}{9} \, {\left(2 \, b^{7} d e + 7 \, a b^{6} e^{2}\right)} x^{9} + \frac{1}{8} \, {\left(b^{7} d^{2} + 14 \, a b^{6} d e + 21 \, a^{2} b^{5} e^{2}\right)} x^{8} + {\left(a b^{6} d^{2} + 6 \, a^{2} b^{5} d e + 5 \, a^{3} b^{4} e^{2}\right)} x^{7} + \frac{7}{6} \, {\left(3 \, a^{2} b^{5} d^{2} + 10 \, a^{3} b^{4} d e + 5 \, a^{4} b^{3} e^{2}\right)} x^{6} + \frac{7}{5} \, {\left(5 \, a^{3} b^{4} d^{2} + 10 \, a^{4} b^{3} d e + 3 \, a^{5} b^{2} e^{2}\right)} x^{5} + \frac{7}{4} \, {\left(5 \, a^{4} b^{3} d^{2} + 6 \, a^{5} b^{2} d e + a^{6} b e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(21 \, a^{5} b^{2} d^{2} + 14 \, a^{6} b d e + a^{7} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(7 \, a^{6} b d^{2} + 2 \, a^{7} d e\right)} x^{2}"," ",0,"1/10*b^7*e^2*x^10 + a^7*d^2*x + 1/9*(2*b^7*d*e + 7*a*b^6*e^2)*x^9 + 1/8*(b^7*d^2 + 14*a*b^6*d*e + 21*a^2*b^5*e^2)*x^8 + (a*b^6*d^2 + 6*a^2*b^5*d*e + 5*a^3*b^4*e^2)*x^7 + 7/6*(3*a^2*b^5*d^2 + 10*a^3*b^4*d*e + 5*a^4*b^3*e^2)*x^6 + 7/5*(5*a^3*b^4*d^2 + 10*a^4*b^3*d*e + 3*a^5*b^2*e^2)*x^5 + 7/4*(5*a^4*b^3*d^2 + 6*a^5*b^2*d*e + a^6*b*e^2)*x^4 + 1/3*(21*a^5*b^2*d^2 + 14*a^6*b*d*e + a^7*e^2)*x^3 + 1/2*(7*a^6*b*d^2 + 2*a^7*d*e)*x^2","B",0
1921,1,163,0,0.551849," ","integrate((b*x+a)*(e*x+d)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{1}{9} \, b^{7} e x^{9} + a^{7} d x + \frac{1}{8} \, {\left(b^{7} d + 7 \, a b^{6} e\right)} x^{8} + {\left(a b^{6} d + 3 \, a^{2} b^{5} e\right)} x^{7} + \frac{7}{6} \, {\left(3 \, a^{2} b^{5} d + 5 \, a^{3} b^{4} e\right)} x^{6} + 7 \, {\left(a^{3} b^{4} d + a^{4} b^{3} e\right)} x^{5} + \frac{7}{4} \, {\left(5 \, a^{4} b^{3} d + 3 \, a^{5} b^{2} e\right)} x^{4} + \frac{7}{3} \, {\left(3 \, a^{5} b^{2} d + a^{6} b e\right)} x^{3} + \frac{1}{2} \, {\left(7 \, a^{6} b d + a^{7} e\right)} x^{2}"," ",0,"1/9*b^7*e*x^9 + a^7*d*x + 1/8*(b^7*d + 7*a*b^6*e)*x^8 + (a*b^6*d + 3*a^2*b^5*e)*x^7 + 7/6*(3*a^2*b^5*d + 5*a^3*b^4*e)*x^6 + 7*(a^3*b^4*d + a^4*b^3*e)*x^5 + 7/4*(5*a^4*b^3*d + 3*a^5*b^2*e)*x^4 + 7/3*(3*a^5*b^2*d + a^6*b*e)*x^3 + 1/2*(7*a^6*b*d + a^7*e)*x^2","B",0
1922,1,23,0,0.477886," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{4}}{8 \, b}"," ",0,"1/8*(b^2*x^2 + 2*a*b*x + a^2)^4/b","A",0
1923,1,458,0,0.654890," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d),x, algorithm=""maxima"")","\frac{60 \, b^{7} e^{6} x^{7} - 70 \, {\left(b^{7} d e^{5} - 7 \, a b^{6} e^{6}\right)} x^{6} + 84 \, {\left(b^{7} d^{2} e^{4} - 7 \, a b^{6} d e^{5} + 21 \, a^{2} b^{5} e^{6}\right)} x^{5} - 105 \, {\left(b^{7} d^{3} e^{3} - 7 \, a b^{6} d^{2} e^{4} + 21 \, a^{2} b^{5} d e^{5} - 35 \, a^{3} b^{4} e^{6}\right)} x^{4} + 140 \, {\left(b^{7} d^{4} e^{2} - 7 \, a b^{6} d^{3} e^{3} + 21 \, a^{2} b^{5} d^{2} e^{4} - 35 \, a^{3} b^{4} d e^{5} + 35 \, a^{4} b^{3} e^{6}\right)} x^{3} - 210 \, {\left(b^{7} d^{5} e - 7 \, a b^{6} d^{4} e^{2} + 21 \, a^{2} b^{5} d^{3} e^{3} - 35 \, a^{3} b^{4} d^{2} e^{4} + 35 \, a^{4} b^{3} d e^{5} - 21 \, a^{5} b^{2} e^{6}\right)} x^{2} + 420 \, {\left(b^{7} d^{6} - 7 \, a b^{6} d^{5} e + 21 \, a^{2} b^{5} d^{4} e^{2} - 35 \, a^{3} b^{4} d^{3} e^{3} + 35 \, a^{4} b^{3} d^{2} e^{4} - 21 \, a^{5} b^{2} d e^{5} + 7 \, a^{6} b e^{6}\right)} x}{420 \, e^{7}} - \frac{{\left(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}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/420*(60*b^7*e^6*x^7 - 70*(b^7*d*e^5 - 7*a*b^6*e^6)*x^6 + 84*(b^7*d^2*e^4 - 7*a*b^6*d*e^5 + 21*a^2*b^5*e^6)*x^5 - 105*(b^7*d^3*e^3 - 7*a*b^6*d^2*e^4 + 21*a^2*b^5*d*e^5 - 35*a^3*b^4*e^6)*x^4 + 140*(b^7*d^4*e^2 - 7*a*b^6*d^3*e^3 + 21*a^2*b^5*d^2*e^4 - 35*a^3*b^4*d*e^5 + 35*a^4*b^3*e^6)*x^3 - 210*(b^7*d^5*e - 7*a*b^6*d^4*e^2 + 21*a^2*b^5*d^3*e^3 - 35*a^3*b^4*d^2*e^4 + 35*a^4*b^3*d*e^5 - 21*a^5*b^2*e^6)*x^2 + 420*(b^7*d^6 - 7*a*b^6*d^5*e + 21*a^2*b^5*d^4*e^2 - 35*a^3*b^4*d^3*e^3 + 35*a^4*b^3*d^2*e^4 - 21*a^5*b^2*d*e^5 + 7*a^6*b*e^6)*x)/e^7 - (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)*log(e*x + d)/e^8","B",0
1924,1,466,0,0.793077," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^2,x, algorithm=""maxima"")","\frac{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}}{e^{9} x + d e^{8}} + \frac{10 \, b^{7} e^{5} x^{6} - 12 \, {\left(2 \, b^{7} d e^{4} - 7 \, a b^{6} e^{5}\right)} x^{5} + 15 \, {\left(3 \, b^{7} d^{2} e^{3} - 14 \, a b^{6} d e^{4} + 21 \, a^{2} b^{5} e^{5}\right)} x^{4} - 20 \, {\left(4 \, b^{7} d^{3} e^{2} - 21 \, a b^{6} d^{2} e^{3} + 42 \, a^{2} b^{5} d e^{4} - 35 \, a^{3} b^{4} e^{5}\right)} x^{3} + 30 \, {\left(5 \, b^{7} d^{4} e - 28 \, a b^{6} d^{3} e^{2} + 63 \, a^{2} b^{5} d^{2} e^{3} - 70 \, a^{3} b^{4} d e^{4} + 35 \, a^{4} b^{3} e^{5}\right)} x^{2} - 60 \, {\left(6 \, b^{7} d^{5} - 35 \, a b^{6} d^{4} e + 84 \, a^{2} b^{5} d^{3} e^{2} - 105 \, a^{3} b^{4} d^{2} e^{3} + 70 \, a^{4} b^{3} d e^{4} - 21 \, a^{5} b^{2} e^{5}\right)} x}{60 \, e^{7}} + \frac{7 \, {\left(b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"(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)/(e^9*x + d*e^8) + 1/60*(10*b^7*e^5*x^6 - 12*(2*b^7*d*e^4 - 7*a*b^6*e^5)*x^5 + 15*(3*b^7*d^2*e^3 - 14*a*b^6*d*e^4 + 21*a^2*b^5*e^5)*x^4 - 20*(4*b^7*d^3*e^2 - 21*a*b^6*d^2*e^3 + 42*a^2*b^5*d*e^4 - 35*a^3*b^4*e^5)*x^3 + 30*(5*b^7*d^4*e - 28*a*b^6*d^3*e^2 + 63*a^2*b^5*d^2*e^3 - 70*a^3*b^4*d*e^4 + 35*a^4*b^3*e^5)*x^2 - 60*(6*b^7*d^5 - 35*a*b^6*d^4*e + 84*a^2*b^5*d^3*e^2 - 105*a^3*b^4*d^2*e^3 + 70*a^4*b^3*d*e^4 - 21*a^5*b^2*e^5)*x)/e^7 + 7*(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6)*log(e*x + d)/e^8","B",0
1925,1,473,0,0.667530," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{13 \, b^{7} d^{7} - 77 \, a b^{6} d^{6} e + 189 \, a^{2} b^{5} d^{5} e^{2} - 245 \, a^{3} b^{4} d^{4} e^{3} + 175 \, a^{4} b^{3} d^{3} e^{4} - 63 \, a^{5} b^{2} d^{2} e^{5} + 7 \, a^{6} b d e^{6} + a^{7} e^{7} + 14 \, {\left(b^{7} d^{6} e - 6 \, a b^{6} d^{5} e^{2} + 15 \, a^{2} b^{5} d^{4} e^{3} - 20 \, a^{3} b^{4} d^{3} e^{4} + 15 \, a^{4} b^{3} d^{2} e^{5} - 6 \, a^{5} b^{2} d e^{6} + a^{6} b e^{7}\right)} x}{2 \, {\left(e^{10} x^{2} + 2 \, d e^{9} x + d^{2} e^{8}\right)}} + \frac{4 \, b^{7} e^{4} x^{5} - 5 \, {\left(3 \, b^{7} d e^{3} - 7 \, a b^{6} e^{4}\right)} x^{4} + 20 \, {\left(2 \, b^{7} d^{2} e^{2} - 7 \, a b^{6} d e^{3} + 7 \, a^{2} b^{5} e^{4}\right)} x^{3} - 10 \, {\left(10 \, b^{7} d^{3} e - 42 \, a b^{6} d^{2} e^{2} + 63 \, a^{2} b^{5} d e^{3} - 35 \, a^{3} b^{4} e^{4}\right)} x^{2} + 20 \, {\left(15 \, b^{7} d^{4} - 70 \, a b^{6} d^{3} e + 126 \, a^{2} b^{5} d^{2} e^{2} - 105 \, a^{3} b^{4} d e^{3} + 35 \, a^{4} b^{3} e^{4}\right)} x}{20 \, e^{7}} - \frac{21 \, {\left(b^{7} d^{5} - 5 \, a b^{6} d^{4} e + 10 \, a^{2} b^{5} d^{3} e^{2} - 10 \, a^{3} b^{4} d^{2} e^{3} + 5 \, a^{4} b^{3} d e^{4} - a^{5} b^{2} e^{5}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"-1/2*(13*b^7*d^7 - 77*a*b^6*d^6*e + 189*a^2*b^5*d^5*e^2 - 245*a^3*b^4*d^4*e^3 + 175*a^4*b^3*d^3*e^4 - 63*a^5*b^2*d^2*e^5 + 7*a^6*b*d*e^6 + a^7*e^7 + 14*(b^7*d^6*e - 6*a*b^6*d^5*e^2 + 15*a^2*b^5*d^4*e^3 - 20*a^3*b^4*d^3*e^4 + 15*a^4*b^3*d^2*e^5 - 6*a^5*b^2*d*e^6 + a^6*b*e^7)*x)/(e^10*x^2 + 2*d*e^9*x + d^2*e^8) + 1/20*(4*b^7*e^4*x^5 - 5*(3*b^7*d*e^3 - 7*a*b^6*e^4)*x^4 + 20*(2*b^7*d^2*e^2 - 7*a*b^6*d*e^3 + 7*a^2*b^5*e^4)*x^3 - 10*(10*b^7*d^3*e - 42*a*b^6*d^2*e^2 + 63*a^2*b^5*d*e^3 - 35*a^3*b^4*e^4)*x^2 + 20*(15*b^7*d^4 - 70*a*b^6*d^3*e + 126*a^2*b^5*d^2*e^2 - 105*a^3*b^4*d*e^3 + 35*a^4*b^3*e^4)*x)/e^7 - 21*(b^7*d^5 - 5*a*b^6*d^4*e + 10*a^2*b^5*d^3*e^2 - 10*a^3*b^4*d^2*e^3 + 5*a^4*b^3*d*e^4 - a^5*b^2*e^5)*log(e*x + d)/e^8","B",0
1926,1,485,0,0.669601," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^4,x, algorithm=""maxima"")","\frac{107 \, b^{7} d^{7} - 518 \, a b^{6} d^{6} e + 987 \, a^{2} b^{5} d^{5} e^{2} - 910 \, a^{3} b^{4} d^{4} e^{3} + 385 \, a^{4} b^{3} d^{3} e^{4} - 42 \, a^{5} b^{2} d^{2} e^{5} - 7 \, a^{6} b d e^{6} - 2 \, a^{7} e^{7} + 126 \, {\left(b^{7} d^{5} e^{2} - 5 \, a b^{6} d^{4} e^{3} + 10 \, a^{2} b^{5} d^{3} e^{4} - 10 \, a^{3} b^{4} d^{2} e^{5} + 5 \, a^{4} b^{3} d e^{6} - a^{5} b^{2} e^{7}\right)} x^{2} + 21 \, {\left(11 \, b^{7} d^{6} e - 54 \, a b^{6} d^{5} e^{2} + 105 \, a^{2} b^{5} d^{4} e^{3} - 100 \, a^{3} b^{4} d^{3} e^{4} + 45 \, a^{4} b^{3} d^{2} e^{5} - 6 \, a^{5} b^{2} d e^{6} - a^{6} b e^{7}\right)} x}{6 \, {\left(e^{11} x^{3} + 3 \, d e^{10} x^{2} + 3 \, d^{2} e^{9} x + d^{3} e^{8}\right)}} + \frac{3 \, b^{7} e^{3} x^{4} - 4 \, {\left(4 \, b^{7} d e^{2} - 7 \, a b^{6} e^{3}\right)} x^{3} + 6 \, {\left(10 \, b^{7} d^{2} e - 28 \, a b^{6} d e^{2} + 21 \, a^{2} b^{5} e^{3}\right)} x^{2} - 12 \, {\left(20 \, b^{7} d^{3} - 70 \, a b^{6} d^{2} e + 84 \, a^{2} b^{5} d e^{2} - 35 \, a^{3} b^{4} e^{3}\right)} x}{12 \, e^{7}} + \frac{35 \, {\left(b^{7} d^{4} - 4 \, a b^{6} d^{3} e + 6 \, a^{2} b^{5} d^{2} e^{2} - 4 \, a^{3} b^{4} d e^{3} + a^{4} b^{3} e^{4}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/6*(107*b^7*d^7 - 518*a*b^6*d^6*e + 987*a^2*b^5*d^5*e^2 - 910*a^3*b^4*d^4*e^3 + 385*a^4*b^3*d^3*e^4 - 42*a^5*b^2*d^2*e^5 - 7*a^6*b*d*e^6 - 2*a^7*e^7 + 126*(b^7*d^5*e^2 - 5*a*b^6*d^4*e^3 + 10*a^2*b^5*d^3*e^4 - 10*a^3*b^4*d^2*e^5 + 5*a^4*b^3*d*e^6 - a^5*b^2*e^7)*x^2 + 21*(11*b^7*d^6*e - 54*a*b^6*d^5*e^2 + 105*a^2*b^5*d^4*e^3 - 100*a^3*b^4*d^3*e^4 + 45*a^4*b^3*d^2*e^5 - 6*a^5*b^2*d*e^6 - a^6*b*e^7)*x)/(e^11*x^3 + 3*d*e^10*x^2 + 3*d^2*e^9*x + d^3*e^8) + 1/12*(3*b^7*e^3*x^4 - 4*(4*b^7*d*e^2 - 7*a*b^6*e^3)*x^3 + 6*(10*b^7*d^2*e - 28*a*b^6*d*e^2 + 21*a^2*b^5*e^3)*x^2 - 12*(20*b^7*d^3 - 70*a*b^6*d^2*e + 84*a^2*b^5*d*e^2 - 35*a^3*b^4*e^3)*x)/e^7 + 35*(b^7*d^4 - 4*a*b^6*d^3*e + 6*a^2*b^5*d^2*e^2 - 4*a^3*b^4*d*e^3 + a^4*b^3*e^4)*log(e*x + d)/e^8","B",0
1927,1,179,0,0.480067," ","integrate((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{3 \, b^{3} e^{4} x^{4} + 4 \, {\left(4 \, b^{3} d e^{3} - a b^{2} e^{4}\right)} x^{3} + 6 \, {\left(6 \, b^{3} d^{2} e^{2} - 4 \, a b^{2} d e^{3} + a^{2} b e^{4}\right)} x^{2} + 12 \, {\left(4 \, b^{3} d^{3} e - 6 \, a b^{2} d^{2} e^{2} + 4 \, a^{2} b d e^{3} - a^{3} e^{4}\right)} x}{12 \, b^{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(b x + a\right)}{b^{5}}"," ",0,"1/12*(3*b^3*e^4*x^4 + 4*(4*b^3*d*e^3 - a*b^2*e^4)*x^3 + 6*(6*b^3*d^2*e^2 - 4*a*b^2*d*e^3 + a^2*b*e^4)*x^2 + 12*(4*b^3*d^3*e - 6*a*b^2*d^2*e^2 + 4*a^2*b*d*e^3 - a^3*e^4)*x)/b^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(b*x + a)/b^5","A",0
1928,1,114,0,0.495687," ","integrate((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, b^{2} e^{3} x^{3} + 3 \, {\left(3 \, b^{2} d e^{2} - a b e^{3}\right)} x^{2} + 6 \, {\left(3 \, b^{2} d^{2} e - 3 \, a b d e^{2} + a^{2} e^{3}\right)} x}{6 \, b^{3}} + \frac{{\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"1/6*(2*b^2*e^3*x^3 + 3*(3*b^2*d*e^2 - a*b*e^3)*x^2 + 6*(3*b^2*d^2*e - 3*a*b*d*e^2 + a^2*e^3)*x)/b^3 + (b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*log(b*x + a)/b^4","A",0
1929,1,61,0,0.485600," ","integrate((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{b e^{2} x^{2} + 2 \, {\left(2 \, b d e - a e^{2}\right)} x}{2 \, b^{2}} + \frac{{\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)} \log\left(b x + a\right)}{b^{3}}"," ",0,"1/2*(b*e^2*x^2 + 2*(2*b*d*e - a*e^2)*x)/b^2 + (b^2*d^2 - 2*a*b*d*e + a^2*e^2)*log(b*x + a)/b^3","A",0
1930,1,25,0,0.553256," ","integrate((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{e x}{b} + \frac{{\left(b d - a e\right)} \log\left(b x + a\right)}{b^{2}}"," ",0,"e*x/b + (b*d - a*e)*log(b*x + a)/b^2","A",0
1931,1,22,0,0.525188," ","integrate((b*x+a)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{\log\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}{2 \, b}"," ",0,"1/2*log(b^2*x^2 + 2*a*b*x + a^2)/b","B",0
1932,1,36,0,0.617065," ","integrate((b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)}{b d - a e} - \frac{\log\left(e x + d\right)}{b d - a e}"," ",0,"log(b*x + a)/(b*d - a*e) - log(e*x + d)/(b*d - a*e)","A",0
1933,1,90,0,0.480560," ","integrate((b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{b \log\left(b x + a\right)}{b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}} - \frac{b \log\left(e x + d\right)}{b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}} + \frac{1}{b d^{2} - a d e + {\left(b d e - a e^{2}\right)} x}"," ",0,"b*log(b*x + a)/(b^2*d^2 - 2*a*b*d*e + a^2*e^2) - b*log(e*x + d)/(b^2*d^2 - 2*a*b*d*e + a^2*e^2) + 1/(b*d^2 - a*d*e + (b*d*e - a*e^2)*x)","A",0
1934,1,202,0,0.466717," ","integrate((b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{b^{2} \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{b^{2} \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 + 3 \, b d - a e}{2 \, {\left(b^{2} d^{4} - 2 \, a b d^{3} e + a^{2} d^{2} e^{2} + {\left(b^{2} d^{2} e^{2} - 2 \, a b d e^{3} + a^{2} e^{4}\right)} x^{2} + 2 \, {\left(b^{2} d^{3} e - 2 \, a b d^{2} e^{2} + a^{2} d e^{3}\right)} x\right)}}"," ",0,"b^2*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) - b^2*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) + 1/2*(2*b*e*x + 3*b*d - a*e)/(b^2*d^4 - 2*a*b*d^3*e + a^2*d^2*e^2 + (b^2*d^2*e^2 - 2*a*b*d*e^3 + a^2*e^4)*x^2 + 2*(b^2*d^3*e - 2*a*b*d^2*e^2 + a^2*d*e^3)*x)","B",0
1935,1,362,0,0.618153," ","integrate((b*x+a)/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{b^{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{b^{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} + 11 \, b^{2} d^{2} - 7 \, a b d e + 2 \, a^{2} e^{2} + 3 \, {\left(5 \, b^{2} d e - a b e^{2}\right)} x}{6 \, {\left(b^{3} d^{6} - 3 \, a b^{2} d^{5} e + 3 \, a^{2} b d^{4} e^{2} - a^{3} d^{3} e^{3} + {\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)} x^{3} + 3 \, {\left(b^{3} d^{4} e^{2} - 3 \, a b^{2} d^{3} e^{3} + 3 \, a^{2} b d^{2} e^{4} - a^{3} d e^{5}\right)} x^{2} + 3 \, {\left(b^{3} d^{5} e - 3 \, a b^{2} d^{4} e^{2} + 3 \, a^{2} b d^{3} e^{3} - a^{3} d^{2} e^{4}\right)} x\right)}}"," ",0,"b^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) - b^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 + 11*b^2*d^2 - 7*a*b*d*e + 2*a^2*e^2 + 3*(5*b^2*d*e - a*b*e^2)*x)/(b^3*d^6 - 3*a*b^2*d^5*e + 3*a^2*b*d^4*e^2 - a^3*d^3*e^3 + (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)*x^3 + 3*(b^3*d^4*e^2 - 3*a*b^2*d^3*e^3 + 3*a^2*b*d^2*e^4 - a^3*d*e^5)*x^2 + 3*(b^3*d^5*e - 3*a*b^2*d^4*e^2 + 3*a^2*b*d^3*e^3 - a^3*d^2*e^4)*x)","B",0
1936,1,190,0,0.541601," ","integrate((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{b^{4} d^{4} + 4 \, a b^{3} d^{3} e - 18 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 7 \, 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(b^{7} x^{2} + 2 \, a b^{6} x + a^{2} b^{5}\right)}} + \frac{b e^{4} x^{2} + 2 \, {\left(4 \, b d e^{3} - 3 \, a e^{4}\right)} x}{2 \, b^{4}} + \frac{6 \, {\left(b^{2} d^{2} e^{2} - 2 \, a b d e^{3} + a^{2} e^{4}\right)} \log\left(b x + a\right)}{b^{5}}"," ",0,"-1/2*(b^4*d^4 + 4*a*b^3*d^3*e - 18*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 7*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)/(b^7*x^2 + 2*a*b^6*x + a^2*b^5) + 1/2*(b*e^4*x^2 + 2*(4*b*d*e^3 - 3*a*e^4)*x)/b^4 + 6*(b^2*d^2*e^2 - 2*a*b*d*e^3 + a^2*e^4)*log(b*x + a)/b^5","A",0
1937,1,125,0,0.530076," ","integrate((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{e^{3} x}{b^{3}} - \frac{b^{3} d^{3} + 3 \, a b^{2} d^{2} e - 9 \, a^{2} b d e^{2} + 5 \, a^{3} e^{3} + 6 \, {\left(b^{3} d^{2} e - 2 \, a b^{2} d e^{2} + a^{2} b e^{3}\right)} x}{2 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}} + \frac{3 \, {\left(b d e^{2} - a e^{3}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"e^3*x/b^3 - 1/2*(b^3*d^3 + 3*a*b^2*d^2*e - 9*a^2*b*d*e^2 + 5*a^3*e^3 + 6*(b^3*d^2*e - 2*a*b^2*d*e^2 + a^2*b*e^3)*x)/(b^6*x^2 + 2*a*b^5*x + a^2*b^4) + 3*(b*d*e^2 - a*e^3)*log(b*x + a)/b^4","A",0
1938,1,79,0,0.580783," ","integrate((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{b^{2} d^{2} + 2 \, a b d e - 3 \, a^{2} e^{2} + 4 \, {\left(b^{2} d e - a b e^{2}\right)} x}{2 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}} + \frac{e^{2} \log\left(b x + a\right)}{b^{3}}"," ",0,"-1/2*(b^2*d^2 + 2*a*b*d*e - 3*a^2*e^2 + 4*(b^2*d*e - a*b*e^2)*x)/(b^5*x^2 + 2*a*b^4*x + a^2*b^3) + e^2*log(b*x + a)/b^3","A",0
1939,1,38,0,0.498587," ","integrate((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{2 \, b e x + b d + a e}{2 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}"," ",0,"-1/2*(2*b*e*x + b*d + a*e)/(b^4*x^2 + 2*a*b^3*x + a^2*b^2)","A",0
1940,1,23,0,0.518523," ","integrate((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} b}"," ",0,"-1/2/((b^2*x^2 + 2*a*b*x + a^2)*b)","A",0
1941,1,202,0,0.556543," ","integrate((b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{e^{2} \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{e^{2} \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 + 3 \, a e}{2 \, {\left(a^{2} b^{2} d^{2} - 2 \, a^{3} b d e + a^{4} e^{2} + {\left(b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}\right)} x^{2} + 2 \, {\left(a b^{3} d^{2} - 2 \, a^{2} b^{2} d e + a^{3} b e^{2}\right)} x\right)}}"," ",0,"e^2*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) - e^2*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) + 1/2*(2*b*e*x - b*d + 3*a*e)/(a^2*b^2*d^2 - 2*a^3*b*d*e + a^4*e^2 + (b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2)*x^2 + 2*(a*b^3*d^2 - 2*a^2*b^2*d*e + a^3*b*e^2)*x)","B",0
1942,1,386,0,0.659569," ","integrate((b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{3 \, b e^{2} \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 e^{2} \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} - b^{2} d^{2} + 5 \, a b d e + 2 \, a^{2} e^{2} + 3 \, {\left(b^{2} d e + 3 \, a b e^{2}\right)} x}{2 \, {\left(a^{2} b^{3} d^{4} - 3 \, a^{3} b^{2} d^{3} e + 3 \, a^{4} b d^{2} e^{2} - a^{5} d e^{3} + {\left(b^{5} d^{3} e - 3 \, a b^{4} d^{2} e^{2} + 3 \, a^{2} b^{3} d e^{3} - a^{3} b^{2} e^{4}\right)} x^{3} + {\left(b^{5} d^{4} - a b^{4} d^{3} e - 3 \, a^{2} b^{3} d^{2} e^{2} + 5 \, a^{3} b^{2} d e^{3} - 2 \, a^{4} b e^{4}\right)} x^{2} + {\left(2 \, a b^{4} d^{4} - 5 \, a^{2} b^{3} d^{3} e + 3 \, a^{3} b^{2} d^{2} e^{2} + a^{4} b d e^{3} - a^{5} e^{4}\right)} x\right)}}"," ",0,"3*b*e^2*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*e^2*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 - b^2*d^2 + 5*a*b*d*e + 2*a^2*e^2 + 3*(b^2*d*e + 3*a*b*e^2)*x)/(a^2*b^3*d^4 - 3*a^3*b^2*d^3*e + 3*a^4*b*d^2*e^2 - a^5*d*e^3 + (b^5*d^3*e - 3*a*b^4*d^2*e^2 + 3*a^2*b^3*d*e^3 - a^3*b^2*e^4)*x^3 + (b^5*d^4 - a*b^4*d^3*e - 3*a^2*b^3*d^2*e^2 + 5*a^3*b^2*d*e^3 - 2*a^4*b*e^4)*x^2 + (2*a*b^4*d^4 - 5*a^2*b^3*d^3*e + 3*a^3*b^2*d^2*e^2 + a^4*b*d*e^3 - a^5*e^4)*x)","B",0
1943,1,594,0,0.704227," ","integrate((b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{6 \, b^{2} e^{2} \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{6 \, b^{2} e^{2} \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} + 7 \, a b^{2} d^{2} e + 7 \, a^{2} b d e^{2} - a^{3} e^{3} + 18 \, {\left(b^{3} d e^{2} + a b^{2} e^{3}\right)} x^{2} + 4 \, {\left(b^{3} d^{2} e + 7 \, a b^{2} d e^{2} + a^{2} b e^{3}\right)} x}{2 \, {\left(a^{2} b^{4} d^{6} - 4 \, a^{3} b^{3} d^{5} e + 6 \, a^{4} b^{2} d^{4} e^{2} - 4 \, a^{5} b d^{3} e^{3} + a^{6} d^{2} e^{4} + {\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^{4} + 2 \, {\left(b^{6} d^{5} e - 3 \, a b^{5} d^{4} e^{2} + 2 \, a^{2} b^{4} d^{3} e^{3} + 2 \, a^{3} b^{3} d^{2} e^{4} - 3 \, a^{4} b^{2} d e^{5} + a^{5} b e^{6}\right)} x^{3} + {\left(b^{6} d^{6} - 9 \, a^{2} b^{4} d^{4} e^{2} + 16 \, a^{3} b^{3} d^{3} e^{3} - 9 \, a^{4} b^{2} d^{2} e^{4} + a^{6} e^{6}\right)} x^{2} + 2 \, {\left(a b^{5} d^{6} - 3 \, a^{2} b^{4} d^{5} e + 2 \, a^{3} b^{3} d^{4} e^{2} + 2 \, a^{4} b^{2} d^{3} e^{3} - 3 \, a^{5} b d^{2} e^{4} + a^{6} d e^{5}\right)} x\right)}}"," ",0,"6*b^2*e^2*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) - 6*b^2*e^2*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) + 1/2*(12*b^3*e^3*x^3 - b^3*d^3 + 7*a*b^2*d^2*e + 7*a^2*b*d*e^2 - a^3*e^3 + 18*(b^3*d*e^2 + a*b^2*e^3)*x^2 + 4*(b^3*d^2*e + 7*a*b^2*d*e^2 + a^2*b*e^3)*x)/(a^2*b^4*d^6 - 4*a^3*b^3*d^5*e + 6*a^4*b^2*d^4*e^2 - 4*a^5*b*d^3*e^3 + a^6*d^2*e^4 + (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^4 + 2*(b^6*d^5*e - 3*a*b^5*d^4*e^2 + 2*a^2*b^4*d^3*e^3 + 2*a^3*b^3*d^2*e^4 - 3*a^4*b^2*d*e^5 + a^5*b*e^6)*x^3 + (b^6*d^6 - 9*a^2*b^4*d^4*e^2 + 16*a^3*b^3*d^3*e^3 - 9*a^4*b^2*d^2*e^4 + a^6*e^6)*x^2 + 2*(a*b^5*d^6 - 3*a^2*b^4*d^5*e + 2*a^3*b^3*d^4*e^2 + 2*a^4*b^2*d^3*e^3 - 3*a^5*b*d^2*e^4 + a^6*d*e^5)*x)","B",0
1944,1,890,0,1.065107," ","integrate((b*x+a)/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{10 \, b^{3} e^{2} \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^{3} e^{2} \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} - 3 \, b^{4} d^{4} + 27 \, a b^{3} d^{3} e + 47 \, a^{2} b^{2} d^{2} e^{2} - 13 \, a^{3} b d e^{3} + 2 \, a^{4} e^{4} + 30 \, {\left(5 \, b^{4} d e^{3} + 3 \, a b^{3} e^{4}\right)} x^{3} + 10 \, {\left(11 \, b^{4} d^{2} e^{2} + 23 \, a b^{3} d e^{3} + 2 \, a^{2} b^{2} e^{4}\right)} x^{2} + 5 \, {\left(3 \, b^{4} d^{3} e + 35 \, a b^{3} d^{2} e^{2} + 11 \, a^{2} b^{2} d e^{3} - a^{3} b e^{4}\right)} x}{6 \, {\left(a^{2} b^{5} d^{8} - 5 \, a^{3} b^{4} d^{7} e + 10 \, a^{4} b^{3} d^{6} e^{2} - 10 \, a^{5} b^{2} d^{5} e^{3} + 5 \, a^{6} b d^{4} e^{4} - a^{7} d^{3} e^{5} + {\left(b^{7} d^{5} e^{3} - 5 \, a b^{6} d^{4} e^{4} + 10 \, a^{2} b^{5} d^{3} e^{5} - 10 \, a^{3} b^{4} d^{2} e^{6} + 5 \, a^{4} b^{3} d e^{7} - a^{5} b^{2} e^{8}\right)} x^{5} + {\left(3 \, b^{7} d^{6} e^{2} - 13 \, a b^{6} d^{5} e^{3} + 20 \, a^{2} b^{5} d^{4} e^{4} - 10 \, a^{3} b^{4} d^{3} e^{5} - 5 \, a^{4} b^{3} d^{2} e^{6} + 7 \, a^{5} b^{2} d e^{7} - 2 \, a^{6} b e^{8}\right)} x^{4} + {\left(3 \, b^{7} d^{7} e - 9 \, a b^{6} d^{6} e^{2} + a^{2} b^{5} d^{5} e^{3} + 25 \, a^{3} b^{4} d^{4} e^{4} - 35 \, a^{4} b^{3} d^{3} e^{5} + 17 \, a^{5} b^{2} d^{2} e^{6} - a^{6} b d e^{7} - a^{7} e^{8}\right)} x^{3} + {\left(b^{7} d^{8} + a b^{6} d^{7} e - 17 \, a^{2} b^{5} d^{6} e^{2} + 35 \, a^{3} b^{4} d^{5} e^{3} - 25 \, a^{4} b^{3} d^{4} e^{4} - a^{5} b^{2} d^{3} e^{5} + 9 \, a^{6} b d^{2} e^{6} - 3 \, a^{7} d e^{7}\right)} x^{2} + {\left(2 \, a b^{6} d^{8} - 7 \, a^{2} b^{5} d^{7} e + 5 \, a^{3} b^{4} d^{6} e^{2} + 10 \, a^{4} b^{3} d^{5} e^{3} - 20 \, a^{5} b^{2} d^{4} e^{4} + 13 \, a^{6} b d^{3} e^{5} - 3 \, a^{7} d^{2} e^{6}\right)} x\right)}}"," ",0,"10*b^3*e^2*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^3*e^2*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 - 3*b^4*d^4 + 27*a*b^3*d^3*e + 47*a^2*b^2*d^2*e^2 - 13*a^3*b*d*e^3 + 2*a^4*e^4 + 30*(5*b^4*d*e^3 + 3*a*b^3*e^4)*x^3 + 10*(11*b^4*d^2*e^2 + 23*a*b^3*d*e^3 + 2*a^2*b^2*e^4)*x^2 + 5*(3*b^4*d^3*e + 35*a*b^3*d^2*e^2 + 11*a^2*b^2*d*e^3 - a^3*b*e^4)*x)/(a^2*b^5*d^8 - 5*a^3*b^4*d^7*e + 10*a^4*b^3*d^6*e^2 - 10*a^5*b^2*d^5*e^3 + 5*a^6*b*d^4*e^4 - a^7*d^3*e^5 + (b^7*d^5*e^3 - 5*a*b^6*d^4*e^4 + 10*a^2*b^5*d^3*e^5 - 10*a^3*b^4*d^2*e^6 + 5*a^4*b^3*d*e^7 - a^5*b^2*e^8)*x^5 + (3*b^7*d^6*e^2 - 13*a*b^6*d^5*e^3 + 20*a^2*b^5*d^4*e^4 - 10*a^3*b^4*d^3*e^5 - 5*a^4*b^3*d^2*e^6 + 7*a^5*b^2*d*e^7 - 2*a^6*b*e^8)*x^4 + (3*b^7*d^7*e - 9*a*b^6*d^6*e^2 + a^2*b^5*d^5*e^3 + 25*a^3*b^4*d^4*e^4 - 35*a^4*b^3*d^3*e^5 + 17*a^5*b^2*d^2*e^6 - a^6*b*d*e^7 - a^7*e^8)*x^3 + (b^7*d^8 + a*b^6*d^7*e - 17*a^2*b^5*d^6*e^2 + 35*a^3*b^4*d^5*e^3 - 25*a^4*b^3*d^4*e^4 - a^5*b^2*d^3*e^5 + 9*a^6*b*d^2*e^6 - 3*a^7*d*e^7)*x^2 + (2*a*b^6*d^8 - 7*a^2*b^5*d^7*e + 5*a^3*b^4*d^6*e^2 + 10*a^4*b^3*d^5*e^3 - 20*a^5*b^2*d^4*e^4 + 13*a^6*b*d^3*e^5 - 3*a^7*d^2*e^6)*x)","B",0
1945,1,219,0,0.587022," ","integrate((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{3 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 12 \, a^{3} b d e^{3} - 25 \, a^{4} e^{4} + 48 \, {\left(b^{4} d e^{3} - a b^{3} e^{4}\right)} x^{3} + 36 \, {\left(b^{4} d^{2} e^{2} + 2 \, a b^{3} d e^{3} - 3 \, a^{2} b^{2} e^{4}\right)} x^{2} + 8 \, {\left(2 \, b^{4} d^{3} e + 3 \, a b^{3} d^{2} e^{2} + 6 \, a^{2} b^{2} d e^{3} - 11 \, a^{3} b e^{4}\right)} x}{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{e^{4} \log\left(b x + a\right)}{b^{5}}"," ",0,"-1/12*(3*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 12*a^3*b*d*e^3 - 25*a^4*e^4 + 48*(b^4*d*e^3 - a*b^3*e^4)*x^3 + 36*(b^4*d^2*e^2 + 2*a*b^3*d*e^3 - 3*a^2*b^2*e^4)*x^2 + 8*(2*b^4*d^3*e + 3*a*b^3*d^2*e^2 + 6*a^2*b^2*d*e^3 - 11*a^3*b*e^4)*x)/(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) + e^4*log(b*x + a)/b^5","B",0
1946,1,143,0,0.524077," ","integrate((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{4 \, b^{3} e^{3} x^{3} + b^{3} d^{3} + a b^{2} d^{2} e + a^{2} b d e^{2} + a^{3} e^{3} + 6 \, {\left(b^{3} d e^{2} + a b^{2} e^{3}\right)} x^{2} + 4 \, {\left(b^{3} d^{2} e + a b^{2} d e^{2} + a^{2} b e^{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*e^3*x^3 + b^3*d^3 + a*b^2*d^2*e + a^2*b*d*e^2 + a^3*e^3 + 6*(b^3*d*e^2 + a*b^2*e^3)*x^2 + 4*(b^3*d^2*e + a*b^2*d*e^2 + a^2*b*e^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
1947,1,98,0,0.671900," ","integrate((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} e^{2} x^{2} + 3 \, b^{2} d^{2} + 2 \, a b d e + a^{2} e^{2} + 4 \, {\left(2 \, b^{2} d e + a b e^{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*e^2*x^2 + 3*b^2*d^2 + 2*a*b*d*e + a^2*e^2 + 4*(2*b^2*d*e + a*b*e^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
1948,1,61,0,0.525030," ","integrate((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{4 \, b e x + 3 \, b d + a e}{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*e*x + 3*b*d + a*e)/(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
1949,1,23,0,0.563514," ","integrate((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{2} b}"," ",0,"-1/4/((b^2*x^2 + 2*a*b*x + a^2)^2*b)","A",0
1950,1,558,0,0.777869," ","integrate((b*x+a)/(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{e^{4} \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{e^{4} \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 - 23 \, a^{2} b d e^{2} + 25 \, a^{3} e^{3} - 6 \, {\left(b^{3} d e^{2} - 7 \, a b^{2} e^{3}\right)} x^{2} + 4 \, {\left(b^{3} d^{2} e - 5 \, a b^{2} d e^{2} + 13 \, a^{2} b e^{3}\right)} x}{12 \, {\left(a^{4} b^{4} d^{4} - 4 \, a^{5} b^{3} d^{3} e + 6 \, a^{6} b^{2} d^{2} e^{2} - 4 \, a^{7} b d e^{3} + a^{8} e^{4} + {\left(b^{8} d^{4} - 4 \, a b^{7} d^{3} e + 6 \, a^{2} b^{6} d^{2} e^{2} - 4 \, a^{3} b^{5} d e^{3} + a^{4} b^{4} e^{4}\right)} x^{4} + 4 \, {\left(a b^{7} d^{4} - 4 \, a^{2} b^{6} d^{3} e + 6 \, a^{3} b^{5} d^{2} e^{2} - 4 \, a^{4} b^{4} d e^{3} + a^{5} b^{3} e^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{6} d^{4} - 4 \, a^{3} b^{5} d^{3} e + 6 \, a^{4} b^{4} d^{2} e^{2} - 4 \, a^{5} b^{3} d e^{3} + a^{6} b^{2} e^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{5} d^{4} - 4 \, a^{4} b^{4} d^{3} e + 6 \, a^{5} b^{3} d^{2} e^{2} - 4 \, a^{6} b^{2} d e^{3} + a^{7} b e^{4}\right)} x\right)}}"," ",0,"e^4*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) - e^4*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) + 1/12*(12*b^3*e^3*x^3 - 3*b^3*d^3 + 13*a*b^2*d^2*e - 23*a^2*b*d*e^2 + 25*a^3*e^3 - 6*(b^3*d*e^2 - 7*a*b^2*e^3)*x^2 + 4*(b^3*d^2*e - 5*a*b^2*d*e^2 + 13*a^2*b*e^3)*x)/(a^4*b^4*d^4 - 4*a^5*b^3*d^3*e + 6*a^6*b^2*d^2*e^2 - 4*a^7*b*d*e^3 + a^8*e^4 + (b^8*d^4 - 4*a*b^7*d^3*e + 6*a^2*b^6*d^2*e^2 - 4*a^3*b^5*d*e^3 + a^4*b^4*e^4)*x^4 + 4*(a*b^7*d^4 - 4*a^2*b^6*d^3*e + 6*a^3*b^5*d^2*e^2 - 4*a^4*b^4*d*e^3 + a^5*b^3*e^4)*x^3 + 6*(a^2*b^6*d^4 - 4*a^3*b^5*d^3*e + 6*a^4*b^4*d^2*e^2 - 4*a^5*b^3*d*e^3 + a^6*b^2*e^4)*x^2 + 4*(a^3*b^5*d^4 - 4*a^4*b^4*d^3*e + 6*a^5*b^3*d^2*e^2 - 4*a^6*b^2*d*e^3 + a^7*b*e^4)*x)","B",0
1951,1,858,0,0.859153," ","integrate((b*x+a)/(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{5 \, b e^{4} \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{5 \, b e^{4} \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} - 3 \, b^{4} d^{4} + 17 \, a b^{3} d^{3} e - 43 \, a^{2} b^{2} d^{2} e^{2} + 77 \, a^{3} b d e^{3} + 12 \, a^{4} e^{4} + 30 \, {\left(b^{4} d e^{3} + 7 \, a b^{3} e^{4}\right)} x^{3} - 10 \, {\left(b^{4} d^{2} e^{2} - 11 \, a b^{3} d e^{3} - 26 \, a^{2} b^{2} e^{4}\right)} x^{2} + 5 \, {\left(b^{4} d^{3} e - 7 \, a b^{3} d^{2} e^{2} + 29 \, a^{2} b^{2} d e^{3} + 25 \, a^{3} b e^{4}\right)} x}{12 \, {\left(a^{4} b^{5} d^{6} - 5 \, a^{5} b^{4} d^{5} e + 10 \, a^{6} b^{3} d^{4} e^{2} - 10 \, a^{7} b^{2} d^{3} e^{3} + 5 \, a^{8} b d^{2} e^{4} - a^{9} d e^{5} + {\left(b^{9} d^{5} e - 5 \, a b^{8} d^{4} e^{2} + 10 \, a^{2} b^{7} d^{3} e^{3} - 10 \, a^{3} b^{6} d^{2} e^{4} + 5 \, a^{4} b^{5} d e^{5} - a^{5} b^{4} e^{6}\right)} x^{5} + {\left(b^{9} d^{6} - a b^{8} d^{5} e - 10 \, a^{2} b^{7} d^{4} e^{2} + 30 \, a^{3} b^{6} d^{3} e^{3} - 35 \, a^{4} b^{5} d^{2} e^{4} + 19 \, a^{5} b^{4} d e^{5} - 4 \, a^{6} b^{3} e^{6}\right)} x^{4} + 2 \, {\left(2 \, a b^{8} d^{6} - 7 \, a^{2} b^{7} d^{5} e + 5 \, a^{3} b^{6} d^{4} e^{2} + 10 \, a^{4} b^{5} d^{3} e^{3} - 20 \, a^{5} b^{4} d^{2} e^{4} + 13 \, a^{6} b^{3} d e^{5} - 3 \, a^{7} b^{2} e^{6}\right)} x^{3} + 2 \, {\left(3 \, a^{2} b^{7} d^{6} - 13 \, a^{3} b^{6} d^{5} e + 20 \, a^{4} b^{5} d^{4} e^{2} - 10 \, a^{5} b^{4} d^{3} e^{3} - 5 \, a^{6} b^{3} d^{2} e^{4} + 7 \, a^{7} b^{2} d e^{5} - 2 \, a^{8} b e^{6}\right)} x^{2} + {\left(4 \, a^{3} b^{6} d^{6} - 19 \, a^{4} b^{5} d^{5} e + 35 \, a^{5} b^{4} d^{4} e^{2} - 30 \, a^{6} b^{3} d^{3} e^{3} + 10 \, a^{7} b^{2} d^{2} e^{4} + a^{8} b d e^{5} - a^{9} e^{6}\right)} x\right)}}"," ",0,"5*b*e^4*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) - 5*b*e^4*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) + 1/12*(60*b^4*e^4*x^4 - 3*b^4*d^4 + 17*a*b^3*d^3*e - 43*a^2*b^2*d^2*e^2 + 77*a^3*b*d*e^3 + 12*a^4*e^4 + 30*(b^4*d*e^3 + 7*a*b^3*e^4)*x^3 - 10*(b^4*d^2*e^2 - 11*a*b^3*d*e^3 - 26*a^2*b^2*e^4)*x^2 + 5*(b^4*d^3*e - 7*a*b^3*d^2*e^2 + 29*a^2*b^2*d*e^3 + 25*a^3*b*e^4)*x)/(a^4*b^5*d^6 - 5*a^5*b^4*d^5*e + 10*a^6*b^3*d^4*e^2 - 10*a^7*b^2*d^3*e^3 + 5*a^8*b*d^2*e^4 - a^9*d*e^5 + (b^9*d^5*e - 5*a*b^8*d^4*e^2 + 10*a^2*b^7*d^3*e^3 - 10*a^3*b^6*d^2*e^4 + 5*a^4*b^5*d*e^5 - a^5*b^4*e^6)*x^5 + (b^9*d^6 - a*b^8*d^5*e - 10*a^2*b^7*d^4*e^2 + 30*a^3*b^6*d^3*e^3 - 35*a^4*b^5*d^2*e^4 + 19*a^5*b^4*d*e^5 - 4*a^6*b^3*e^6)*x^4 + 2*(2*a*b^8*d^6 - 7*a^2*b^7*d^5*e + 5*a^3*b^6*d^4*e^2 + 10*a^4*b^5*d^3*e^3 - 20*a^5*b^4*d^2*e^4 + 13*a^6*b^3*d*e^5 - 3*a^7*b^2*e^6)*x^3 + 2*(3*a^2*b^7*d^6 - 13*a^3*b^6*d^5*e + 20*a^4*b^5*d^4*e^2 - 10*a^5*b^4*d^3*e^3 - 5*a^6*b^3*d^2*e^4 + 7*a^7*b^2*d*e^5 - 2*a^8*b*e^6)*x^2 + (4*a^3*b^6*d^6 - 19*a^4*b^5*d^5*e + 35*a^5*b^4*d^4*e^2 - 30*a^6*b^3*d^3*e^3 + 10*a^7*b^2*d^2*e^4 + a^8*b*d*e^5 - a^9*e^6)*x)","B",0
1952,1,1200,0,1.270259," ","integrate((b*x+a)/(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{15 \, b^{2} e^{4} \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{15 \, b^{2} e^{4} \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} - b^{5} d^{5} + 7 \, a b^{4} d^{4} e - 23 \, a^{2} b^{3} d^{3} e^{2} + 57 \, a^{3} b^{2} d^{2} e^{3} + 22 \, a^{4} b d e^{4} - 2 \, a^{5} e^{5} + 30 \, {\left(3 \, b^{5} d e^{4} + 7 \, a b^{4} e^{5}\right)} x^{4} + 20 \, {\left(b^{5} d^{2} e^{3} + 16 \, a b^{4} d e^{4} + 13 \, a^{2} b^{3} e^{5}\right)} x^{3} - 5 \, {\left(b^{5} d^{3} e^{2} - 15 \, a b^{4} d^{2} e^{3} - 81 \, a^{2} b^{3} d e^{4} - 25 \, a^{3} b^{2} e^{5}\right)} x^{2} + 2 \, {\left(b^{5} d^{4} e - 9 \, a b^{4} d^{3} e^{2} + 51 \, a^{2} b^{3} d^{2} e^{3} + 101 \, a^{3} b^{2} d e^{4} + 6 \, a^{4} b e^{5}\right)} x}{4 \, {\left(a^{4} b^{6} d^{8} - 6 \, a^{5} b^{5} d^{7} e + 15 \, a^{6} b^{4} d^{6} e^{2} - 20 \, a^{7} b^{3} d^{5} e^{3} + 15 \, a^{8} b^{2} d^{4} e^{4} - 6 \, a^{9} b d^{3} e^{5} + a^{10} d^{2} e^{6} + {\left(b^{10} d^{6} e^{2} - 6 \, a b^{9} d^{5} e^{3} + 15 \, a^{2} b^{8} d^{4} e^{4} - 20 \, a^{3} b^{7} d^{3} e^{5} + 15 \, a^{4} b^{6} d^{2} e^{6} - 6 \, a^{5} b^{5} d e^{7} + a^{6} b^{4} e^{8}\right)} x^{6} + 2 \, {\left(b^{10} d^{7} e - 4 \, a b^{9} d^{6} e^{2} + 3 \, a^{2} b^{8} d^{5} e^{3} + 10 \, a^{3} b^{7} d^{4} e^{4} - 25 \, a^{4} b^{6} d^{3} e^{5} + 24 \, a^{5} b^{5} d^{2} e^{6} - 11 \, a^{6} b^{4} d e^{7} + 2 \, a^{7} b^{3} e^{8}\right)} x^{5} + {\left(b^{10} d^{8} + 2 \, a b^{9} d^{7} e - 27 \, a^{2} b^{8} d^{6} e^{2} + 64 \, a^{3} b^{7} d^{5} e^{3} - 55 \, a^{4} b^{6} d^{4} e^{4} - 6 \, a^{5} b^{5} d^{3} e^{5} + 43 \, a^{6} b^{4} d^{2} e^{6} - 28 \, a^{7} b^{3} d e^{7} + 6 \, a^{8} b^{2} e^{8}\right)} x^{4} + 4 \, {\left(a b^{9} d^{8} - 3 \, a^{2} b^{8} d^{7} e - 2 \, a^{3} b^{7} d^{6} e^{2} + 19 \, a^{4} b^{6} d^{5} e^{3} - 30 \, a^{5} b^{5} d^{4} e^{4} + 19 \, a^{6} b^{4} d^{3} e^{5} - 2 \, a^{7} b^{3} d^{2} e^{6} - 3 \, a^{8} b^{2} d e^{7} + a^{9} b e^{8}\right)} x^{3} + {\left(6 \, a^{2} b^{8} d^{8} - 28 \, a^{3} b^{7} d^{7} e + 43 \, a^{4} b^{6} d^{6} e^{2} - 6 \, a^{5} b^{5} d^{5} e^{3} - 55 \, a^{6} b^{4} d^{4} e^{4} + 64 \, a^{7} b^{3} d^{3} e^{5} - 27 \, a^{8} b^{2} d^{2} e^{6} + 2 \, a^{9} b d e^{7} + a^{10} e^{8}\right)} x^{2} + 2 \, {\left(2 \, a^{3} b^{7} d^{8} - 11 \, a^{4} b^{6} d^{7} e + 24 \, a^{5} b^{5} d^{6} e^{2} - 25 \, a^{6} b^{4} d^{5} e^{3} + 10 \, a^{7} b^{3} d^{4} e^{4} + 3 \, a^{8} b^{2} d^{3} e^{5} - 4 \, a^{9} b d^{2} e^{6} + a^{10} d e^{7}\right)} x\right)}}"," ",0,"15*b^2*e^4*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) - 15*b^2*e^4*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) + 1/4*(60*b^5*e^5*x^5 - b^5*d^5 + 7*a*b^4*d^4*e - 23*a^2*b^3*d^3*e^2 + 57*a^3*b^2*d^2*e^3 + 22*a^4*b*d*e^4 - 2*a^5*e^5 + 30*(3*b^5*d*e^4 + 7*a*b^4*e^5)*x^4 + 20*(b^5*d^2*e^3 + 16*a*b^4*d*e^4 + 13*a^2*b^3*e^5)*x^3 - 5*(b^5*d^3*e^2 - 15*a*b^4*d^2*e^3 - 81*a^2*b^3*d*e^4 - 25*a^3*b^2*e^5)*x^2 + 2*(b^5*d^4*e - 9*a*b^4*d^3*e^2 + 51*a^2*b^3*d^2*e^3 + 101*a^3*b^2*d*e^4 + 6*a^4*b*e^5)*x)/(a^4*b^6*d^8 - 6*a^5*b^5*d^7*e + 15*a^6*b^4*d^6*e^2 - 20*a^7*b^3*d^5*e^3 + 15*a^8*b^2*d^4*e^4 - 6*a^9*b*d^3*e^5 + a^10*d^2*e^6 + (b^10*d^6*e^2 - 6*a*b^9*d^5*e^3 + 15*a^2*b^8*d^4*e^4 - 20*a^3*b^7*d^3*e^5 + 15*a^4*b^6*d^2*e^6 - 6*a^5*b^5*d*e^7 + a^6*b^4*e^8)*x^6 + 2*(b^10*d^7*e - 4*a*b^9*d^6*e^2 + 3*a^2*b^8*d^5*e^3 + 10*a^3*b^7*d^4*e^4 - 25*a^4*b^6*d^3*e^5 + 24*a^5*b^5*d^2*e^6 - 11*a^6*b^4*d*e^7 + 2*a^7*b^3*e^8)*x^5 + (b^10*d^8 + 2*a*b^9*d^7*e - 27*a^2*b^8*d^6*e^2 + 64*a^3*b^7*d^5*e^3 - 55*a^4*b^6*d^4*e^4 - 6*a^5*b^5*d^3*e^5 + 43*a^6*b^4*d^2*e^6 - 28*a^7*b^3*d*e^7 + 6*a^8*b^2*e^8)*x^4 + 4*(a*b^9*d^8 - 3*a^2*b^8*d^7*e - 2*a^3*b^7*d^6*e^2 + 19*a^4*b^6*d^5*e^3 - 30*a^5*b^5*d^4*e^4 + 19*a^6*b^4*d^3*e^5 - 2*a^7*b^3*d^2*e^6 - 3*a^8*b^2*d*e^7 + a^9*b*e^8)*x^3 + (6*a^2*b^8*d^8 - 28*a^3*b^7*d^7*e + 43*a^4*b^6*d^6*e^2 - 6*a^5*b^5*d^5*e^3 - 55*a^6*b^4*d^4*e^4 + 64*a^7*b^3*d^3*e^5 - 27*a^8*b^2*d^2*e^6 + 2*a^9*b*d*e^7 + a^10*e^8)*x^2 + 2*(2*a^3*b^7*d^8 - 11*a^4*b^6*d^7*e + 24*a^5*b^5*d^6*e^2 - 25*a^6*b^4*d^5*e^3 + 10*a^7*b^3*d^4*e^4 + 3*a^8*b^2*d^3*e^5 - 4*a^9*b*d^2*e^6 + a^10*d*e^7)*x)","B",0
1953,1,1587,0,1.578855," ","integrate((b*x+a)/(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{35 \, b^{3} e^{4} \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{35 \, b^{3} e^{4} \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} - 3 \, b^{6} d^{6} + 25 \, a b^{5} d^{5} e - 101 \, a^{2} b^{4} d^{4} e^{2} + 319 \, a^{3} b^{3} d^{3} e^{3} + 214 \, a^{4} b^{2} d^{2} e^{4} - 38 \, a^{5} b d e^{5} + 4 \, a^{6} e^{6} + 210 \, {\left(5 \, b^{6} d e^{5} + 7 \, a b^{5} e^{6}\right)} x^{5} + 70 \, {\left(11 \, b^{6} d^{2} e^{4} + 53 \, a b^{5} d e^{5} + 26 \, a^{2} b^{4} e^{6}\right)} x^{4} + 35 \, {\left(3 \, b^{6} d^{3} e^{3} + 79 \, a b^{5} d^{2} e^{4} + 133 \, a^{2} b^{4} d e^{5} + 25 \, a^{3} b^{3} e^{6}\right)} x^{3} - 21 \, {\left(b^{6} d^{4} e^{2} - 19 \, a b^{5} d^{3} e^{3} - 169 \, a^{2} b^{4} d^{2} e^{4} - 109 \, a^{3} b^{3} d e^{5} - 4 \, a^{4} b^{2} e^{6}\right)} x^{2} + 7 \, {\left(b^{6} d^{5} e - 11 \, a b^{5} d^{4} e^{2} + 79 \, a^{2} b^{4} d^{3} e^{3} + 259 \, a^{3} b^{3} d^{2} e^{4} + 34 \, a^{4} b^{2} d e^{5} - 2 \, a^{5} b e^{6}\right)} x}{12 \, {\left(a^{4} b^{7} d^{10} - 7 \, a^{5} b^{6} d^{9} e + 21 \, a^{6} b^{5} d^{8} e^{2} - 35 \, a^{7} b^{4} d^{7} e^{3} + 35 \, a^{8} b^{3} d^{6} e^{4} - 21 \, a^{9} b^{2} d^{5} e^{5} + 7 \, a^{10} b d^{4} e^{6} - a^{11} d^{3} e^{7} + {\left(b^{11} d^{7} e^{3} - 7 \, a b^{10} d^{6} e^{4} + 21 \, a^{2} b^{9} d^{5} e^{5} - 35 \, a^{3} b^{8} d^{4} e^{6} + 35 \, a^{4} b^{7} d^{3} e^{7} - 21 \, a^{5} b^{6} d^{2} e^{8} + 7 \, a^{6} b^{5} d e^{9} - a^{7} b^{4} e^{10}\right)} x^{7} + {\left(3 \, b^{11} d^{8} e^{2} - 17 \, a b^{10} d^{7} e^{3} + 35 \, a^{2} b^{9} d^{6} e^{4} - 21 \, a^{3} b^{8} d^{5} e^{5} - 35 \, a^{4} b^{7} d^{4} e^{6} + 77 \, a^{5} b^{6} d^{3} e^{7} - 63 \, a^{6} b^{5} d^{2} e^{8} + 25 \, a^{7} b^{4} d e^{9} - 4 \, a^{8} b^{3} e^{10}\right)} x^{6} + 3 \, {\left(b^{11} d^{9} e - 3 \, a b^{10} d^{8} e^{2} - 5 \, a^{2} b^{9} d^{7} e^{3} + 35 \, a^{3} b^{8} d^{6} e^{4} - 63 \, a^{4} b^{7} d^{5} e^{5} + 49 \, a^{5} b^{6} d^{4} e^{6} - 7 \, a^{6} b^{5} d^{3} e^{7} - 15 \, a^{7} b^{4} d^{2} e^{8} + 10 \, a^{8} b^{3} d e^{9} - 2 \, a^{9} b^{2} e^{10}\right)} x^{5} + {\left(b^{11} d^{10} + 5 \, a b^{10} d^{9} e - 45 \, a^{2} b^{9} d^{8} e^{2} + 95 \, a^{3} b^{8} d^{7} e^{3} - 35 \, a^{4} b^{7} d^{6} e^{4} - 147 \, a^{5} b^{6} d^{5} e^{5} + 245 \, a^{6} b^{5} d^{4} e^{6} - 155 \, a^{7} b^{4} d^{3} e^{7} + 30 \, a^{8} b^{3} d^{2} e^{8} + 10 \, a^{9} b^{2} d e^{9} - 4 \, a^{10} b e^{10}\right)} x^{4} + {\left(4 \, a b^{10} d^{10} - 10 \, a^{2} b^{9} d^{9} e - 30 \, a^{3} b^{8} d^{8} e^{2} + 155 \, a^{4} b^{7} d^{7} e^{3} - 245 \, a^{5} b^{6} d^{6} e^{4} + 147 \, a^{6} b^{5} d^{5} e^{5} + 35 \, a^{7} b^{4} d^{4} e^{6} - 95 \, a^{8} b^{3} d^{3} e^{7} + 45 \, a^{9} b^{2} d^{2} e^{8} - 5 \, a^{10} b d e^{9} - a^{11} e^{10}\right)} x^{3} + 3 \, {\left(2 \, a^{2} b^{9} d^{10} - 10 \, a^{3} b^{8} d^{9} e + 15 \, a^{4} b^{7} d^{8} e^{2} + 7 \, a^{5} b^{6} d^{7} e^{3} - 49 \, a^{6} b^{5} d^{6} e^{4} + 63 \, a^{7} b^{4} d^{5} e^{5} - 35 \, a^{8} b^{3} d^{4} e^{6} + 5 \, a^{9} b^{2} d^{3} e^{7} + 3 \, a^{10} b d^{2} e^{8} - a^{11} d e^{9}\right)} x^{2} + {\left(4 \, a^{3} b^{8} d^{10} - 25 \, a^{4} b^{7} d^{9} e + 63 \, a^{5} b^{6} d^{8} e^{2} - 77 \, a^{6} b^{5} d^{7} e^{3} + 35 \, a^{7} b^{4} d^{6} e^{4} + 21 \, a^{8} b^{3} d^{5} e^{5} - 35 \, a^{9} b^{2} d^{4} e^{6} + 17 \, a^{10} b d^{3} e^{7} - 3 \, a^{11} d^{2} e^{8}\right)} x\right)}}"," ",0,"35*b^3*e^4*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) - 35*b^3*e^4*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) + 1/12*(420*b^6*e^6*x^6 - 3*b^6*d^6 + 25*a*b^5*d^5*e - 101*a^2*b^4*d^4*e^2 + 319*a^3*b^3*d^3*e^3 + 214*a^4*b^2*d^2*e^4 - 38*a^5*b*d*e^5 + 4*a^6*e^6 + 210*(5*b^6*d*e^5 + 7*a*b^5*e^6)*x^5 + 70*(11*b^6*d^2*e^4 + 53*a*b^5*d*e^5 + 26*a^2*b^4*e^6)*x^4 + 35*(3*b^6*d^3*e^3 + 79*a*b^5*d^2*e^4 + 133*a^2*b^4*d*e^5 + 25*a^3*b^3*e^6)*x^3 - 21*(b^6*d^4*e^2 - 19*a*b^5*d^3*e^3 - 169*a^2*b^4*d^2*e^4 - 109*a^3*b^3*d*e^5 - 4*a^4*b^2*e^6)*x^2 + 7*(b^6*d^5*e - 11*a*b^5*d^4*e^2 + 79*a^2*b^4*d^3*e^3 + 259*a^3*b^3*d^2*e^4 + 34*a^4*b^2*d*e^5 - 2*a^5*b*e^6)*x)/(a^4*b^7*d^10 - 7*a^5*b^6*d^9*e + 21*a^6*b^5*d^8*e^2 - 35*a^7*b^4*d^7*e^3 + 35*a^8*b^3*d^6*e^4 - 21*a^9*b^2*d^5*e^5 + 7*a^10*b*d^4*e^6 - a^11*d^3*e^7 + (b^11*d^7*e^3 - 7*a*b^10*d^6*e^4 + 21*a^2*b^9*d^5*e^5 - 35*a^3*b^8*d^4*e^6 + 35*a^4*b^7*d^3*e^7 - 21*a^5*b^6*d^2*e^8 + 7*a^6*b^5*d*e^9 - a^7*b^4*e^10)*x^7 + (3*b^11*d^8*e^2 - 17*a*b^10*d^7*e^3 + 35*a^2*b^9*d^6*e^4 - 21*a^3*b^8*d^5*e^5 - 35*a^4*b^7*d^4*e^6 + 77*a^5*b^6*d^3*e^7 - 63*a^6*b^5*d^2*e^8 + 25*a^7*b^4*d*e^9 - 4*a^8*b^3*e^10)*x^6 + 3*(b^11*d^9*e - 3*a*b^10*d^8*e^2 - 5*a^2*b^9*d^7*e^3 + 35*a^3*b^8*d^6*e^4 - 63*a^4*b^7*d^5*e^5 + 49*a^5*b^6*d^4*e^6 - 7*a^6*b^5*d^3*e^7 - 15*a^7*b^4*d^2*e^8 + 10*a^8*b^3*d*e^9 - 2*a^9*b^2*e^10)*x^5 + (b^11*d^10 + 5*a*b^10*d^9*e - 45*a^2*b^9*d^8*e^2 + 95*a^3*b^8*d^7*e^3 - 35*a^4*b^7*d^6*e^4 - 147*a^5*b^6*d^5*e^5 + 245*a^6*b^5*d^4*e^6 - 155*a^7*b^4*d^3*e^7 + 30*a^8*b^3*d^2*e^8 + 10*a^9*b^2*d*e^9 - 4*a^10*b*e^10)*x^4 + (4*a*b^10*d^10 - 10*a^2*b^9*d^9*e - 30*a^3*b^8*d^8*e^2 + 155*a^4*b^7*d^7*e^3 - 245*a^5*b^6*d^6*e^4 + 147*a^6*b^5*d^5*e^5 + 35*a^7*b^4*d^4*e^6 - 95*a^8*b^3*d^3*e^7 + 45*a^9*b^2*d^2*e^8 - 5*a^10*b*d*e^9 - a^11*e^10)*x^3 + 3*(2*a^2*b^9*d^10 - 10*a^3*b^8*d^9*e + 15*a^4*b^7*d^8*e^2 + 7*a^5*b^6*d^7*e^3 - 49*a^6*b^5*d^6*e^4 + 63*a^7*b^4*d^5*e^5 - 35*a^8*b^3*d^4*e^6 + 5*a^9*b^2*d^3*e^7 + 3*a^10*b*d^2*e^8 - a^11*d*e^9)*x^2 + (4*a^3*b^8*d^10 - 25*a^4*b^7*d^9*e + 63*a^5*b^6*d^8*e^2 - 77*a^6*b^5*d^7*e^3 + 35*a^7*b^4*d^6*e^4 + 21*a^8*b^3*d^5*e^5 - 35*a^9*b^2*d^4*e^6 + 17*a^10*b*d^3*e^7 - 3*a^11*d^2*e^8)*x)","B",0
1954,1,1323,0,0.576991," ","integrate((b*x+a)*(e*x+d)^5*((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^{5} x^{5}}{8 \, b} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a e^{5} x^{4}}{56 \, b^{2}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} e^{5} x^{3}}{28 \, b^{3}} + \frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d^{5} x + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{6} e^{5} x}{2 \, b^{5}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} e^{5} x^{2}}{28 \, b^{4}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d^{5}}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{7} e^{5}}{2 \, b^{6}} + \frac{25 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} e^{5} x}{56 \, b^{5}} - \frac{27 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} e^{5}}{56 \, b^{6}} + \frac{{\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{4}}{7 \, b^{2}} - \frac{11 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x^{3}}{42 \, b^{3}} + \frac{5 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{3}}{6 \, b^{2}} - \frac{{\left(5 \, b d e^{4} + a e^{5}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5} x}{2 \, b^{5}} + \frac{5 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} x}{2 \, b^{4}} - \frac{5 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} x}{b^{3}} + \frac{5 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(b d^{5} + 5 \, a d^{4} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a x}{2 \, b} + \frac{5 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x^{2}}{14 \, b^{4}} - \frac{3 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x^{2}}{2 \, b^{3}} + \frac{2 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{2}}{b^{2}} - \frac{{\left(5 \, b d e^{4} + a e^{5}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{6}}{2 \, b^{6}} + \frac{5 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5}}{2 \, b^{5}} - \frac{5 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}}{b^{4}} + \frac{5 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(b d^{5} + 5 \, a d^{4} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{2 \, b^{2}} - \frac{3 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{7 \, b^{5}} + \frac{2 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{b^{4}} - \frac{7 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{2 \, b^{3}} + \frac{5 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x}{4 \, b^{2}} + \frac{10 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{21 \, b^{6}} - \frac{7 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{3 \, b^{5}} + \frac{9 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{2 \, b^{4}} - \frac{25 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a}{12 \, b^{3}} + \frac{{\left(b d^{5} + 5 \, a d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{3 \, b^{2}}"," ",0,"1/8*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*e^5*x^5/b - 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*e^5*x^4/b^2 + 9/28*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*e^5*x^3/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d^5*x + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^6*e^5*x/b^5 - 11/28*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*e^5*x^2/b^4 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d^5/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^7*e^5/b^6 + 25/56*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*e^5*x/b^5 - 27/56*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*e^5/b^6 + 1/7*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^4/b^2 - 11/42*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x^3/b^3 + 5/6*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^3/b^2 - 1/2*(5*b*d*e^4 + a*e^5)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5*x/b^5 + 5/2*(2*b*d^2*e^3 + a*d*e^4)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*x/b^4 - 5*(b*d^3*e^2 + a*d^2*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*x/b^3 + 5/2*(b*d^4*e + 2*a*d^3*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x/b^2 - 1/2*(b*d^5 + 5*a*d^4*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*x/b + 5/14*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x^2/b^4 - 3/2*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x^2/b^3 + 2*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^2/b^2 - 1/2*(5*b*d*e^4 + a*e^5)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^6/b^6 + 5/2*(2*b*d^2*e^3 + a*d*e^4)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5/b^5 - 5*(b*d^3*e^2 + a*d^2*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4/b^4 + 5/2*(b*d^4*e + 2*a*d^3*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3/b^3 - 1/2*(b*d^5 + 5*a*d^4*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^2 - 3/7*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^5 + 2*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^4 - 7/2*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b^3 + 5/4*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x/b^2 + 10/21*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^6 - 7/3*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^5 + 9/2*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^4 - 25/12*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a/b^3 + 1/3*(b*d^5 + 5*a*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/b^2","B",0
1955,1,996,0,0.696735," ","integrate((b*x+a)*(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^{4}}{7 \, b} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a e^{4} x^{3}}{42 \, b^{2}} + \frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d^{4} x - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5} e^{4} x}{2 \, b^{4}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} e^{4} x^{2}}{14 \, b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d^{4}}{2 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{6} e^{4}}{2 \, b^{5}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} e^{4} x}{7 \, b^{4}} + \frac{10 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} e^{4}}{21 \, b^{5}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{3}}{6 \, b^{2}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} x}{2 \, b^{4}} - \frac{{\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} x}{b^{3}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x}{b^{2}} - \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a x}{2 \, b} - \frac{3 \, {\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x^{2}}{10 \, b^{3}} + \frac{2 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{2}}{5 \, b^{2}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5}}{2 \, b^{5}} - \frac{{\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}}{b^{4}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}}{b^{3}} - \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{2 \, b^{2}} + \frac{2 \, {\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{5 \, b^{4}} - \frac{7 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{10 \, b^{3}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x}{2 \, b^{2}} - \frac{7 \, {\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{15 \, b^{5}} + \frac{9 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{10 \, b^{4}} - \frac{5 \, {\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a}{6 \, b^{3}} + \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{3 \, b^{2}}"," ",0,"1/7*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*e^4*x^4/b - 11/42*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*e^4*x^3/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d^4*x - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5*e^4*x/b^4 + 5/14*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*e^4*x^2/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d^4/b - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^6*e^4/b^5 - 3/7*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*e^4*x/b^4 + 10/21*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*e^4/b^5 + 1/6*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^3/b^2 + 1/2*(4*b*d*e^3 + a*e^4)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*x/b^4 - (3*b*d^2*e^2 + 2*a*d*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*x/b^3 + (2*b*d^3*e + 3*a*d^2*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x/b^2 - 1/2*(b*d^4 + 4*a*d^3*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*x/b - 3/10*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x^2/b^3 + 2/5*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^2/b^2 + 1/2*(4*b*d*e^3 + a*e^4)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5/b^5 - (3*b*d^2*e^2 + 2*a*d*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4/b^4 + (2*b*d^3*e + 3*a*d^2*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3/b^3 - 1/2*(b*d^4 + 4*a*d^3*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^2 + 2/5*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^4 - 7/10*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b^3 + 1/2*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x/b^2 - 7/15*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^5 + 9/10*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^4 - 5/6*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a/b^3 + 1/3*(b*d^4 + 4*a*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/b^2","B",0
1956,1,693,0,0.612571," ","integrate((b*x+a)*(e*x+d)^3*((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^{3} x^{3}}{6 \, b} + \frac{1}{2} \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a d^{3} x + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} e^{3} x}{2 \, b^{3}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a e^{3} x^{2}}{10 \, b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d^{3}}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{5} e^{3}}{2 \, b^{4}} + \frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} e^{3} x}{5 \, b^{3}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} e^{3}}{15 \, b^{4}} - \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} x}{2 \, b^{3}} + \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a x}{2 \, b} + \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x^{2}}{5 \, b^{2}} - \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4}}{2 \, b^{4}} + \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{2 \, b^{2}} - \frac{7 \, {\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{20 \, b^{3}} + \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} x}{4 \, b^{2}} + \frac{9 \, {\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{20 \, b^{4}} - \frac{5 \, {\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a}{4 \, b^{3}} + \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}{3 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*e^3*x^3/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d^3*x + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*e^3*x/b^3 - 3/10*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*e^3*x^2/b^2 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d^3/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^5*e^3/b^4 + 2/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*e^3*x/b^3 - 7/15*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*e^3/b^4 - 1/2*(3*b*d*e^2 + a*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*x/b^3 + 3/2*(b*d^2*e + a*d*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*x/b^2 - 1/2*(b*d^3 + 3*a*d^2*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*x/b + 1/5*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x^2/b^2 - 1/2*(3*b*d*e^2 + a*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4/b^4 + 3/2*(b*d^2*e + a*d*e^2)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3/b^3 - 1/2*(b*d^3 + 3*a*d^2*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^2 - 7/20*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b^3 + 3/4*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*x/b^2 + 9/20*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^4 - 5/4*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a/b^3 + 1/3*(b*d^3 + 3*a*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)/b^2","B",0
1957,1,452,0,0.549976," ","integrate((b*x+a)*(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}} a d^{2} x - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} e^{2} x}{2 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} e^{2} x^{2}}{5 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d^{2}}{2 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} e^{2}}{2 \, b^{3}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a e^{2} x}{20 \, b^{2}} + \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} e^{2}}{20 \, b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(2 \, b d e + a e^{2}\right)} a^{2} x}{2 \, b^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(b d^{2} + 2 \, a d e\right)} a x}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(2 \, b d e + a e^{2}\right)} a^{3}}{2 \, b^{3}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(b d^{2} + 2 \, a d e\right)} a^{2}}{2 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(2 \, b d e + a e^{2}\right)} x}{4 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(2 \, b d e + a e^{2}\right)} a}{12 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(b d^{2} + 2 \, a d e\right)}}{3 \, b^{2}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d^2*x - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*e^2*x/b^2 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*e^2*x^2/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d^2/b - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*e^2/b^3 - 7/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*e^2*x/b^2 + 9/20*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*e^2/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(2*b*d*e + a*e^2)*a^2*x/b^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(b*d^2 + 2*a*d*e)*a*x/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(2*b*d*e + a*e^2)*a^3/b^3 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(b*d^2 + 2*a*d*e)*a^2/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(2*b*d*e + a*e^2)*x/b^2 - 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(2*b*d*e + a*e^2)*a/b^3 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(b*d^2 + 2*a*d*e)/b^2","B",0
1958,1,251,0,0.641324," ","integrate((b*x+a)*(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}} a d x + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} e x}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} d}{2 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} e}{2 \, b^{2}} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(b d + a e\right)} a x}{2 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} e x}{4 \, b} - \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(b d + a e\right)} a^{2}}{2 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a e}{12 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(b d + a e\right)}}{3 \, b^{2}}"," ",0,"1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*d*x + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*e*x/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*d/b + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*e/b^2 - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(b*d + a*e)*a*x/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*e*x/b - 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(b*d + a*e)*a^2/b^2 - 5/12*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*e/b^2 + 1/3*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(b*d + a*e)/b^2","B",0
1959,1,14,0,0.704367," ","integrate((b*x+a)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left({\left(b x + a\right)}^{2}\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"1/3*((b*x + a)^2)^(3/2)/b","A",0
1960,-2,0,0,0.000000," ","integrate((b*x+a)*((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
1961,-2,0,0,0.000000," ","integrate((b*x+a)*((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
1962,-2,0,0,0.000000," ","integrate((b*x+a)*((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
1963,-2,0,0,0.000000," ","integrate((b*x+a)*((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
1964,-2,0,0,0.000000," ","integrate((b*x+a)*((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
1965,-2,0,0,0.000000," ","integrate((b*x+a)*((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
1966,-2,0,0,0.000000," ","integrate((b*x+a)*((b*x+a)^2)^(1/2)/(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
1967,-2,0,0,0.000000," ","integrate((b*x+a)*((b*x+a)^2)^(1/2)/(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
1968,1,2152,0,0.753810," ","integrate((b*x+a)*(e*x+d)^7*(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^{7} x^{7}}{12 \, b} - \frac{19 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{7} x^{6}}{132 \, b^{2}} + \frac{41 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{7} x^{5}}{220 \, b^{3}} - \frac{85 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{7} x^{4}}{396 \, b^{4}} + \frac{23 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} e^{7} x^{3}}{99 \, b^{5}} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{7} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{8} e^{7} x}{4 \, b^{7}} - \frac{8 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} e^{7} x^{2}}{33 \, b^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{7}}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{9} e^{7}}{4 \, b^{8}} + \frac{49 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} e^{7} x}{198 \, b^{7}} - \frac{247 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7} e^{7}}{990 \, b^{8}} + \frac{{\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{6}}{11 \, b^{2}} - \frac{17 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{5}}{110 \, b^{3}} + \frac{7 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{5}}{10 \, b^{2}} + \frac{13 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{4}}{66 \, b^{4}} - \frac{7 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{4}}{6 \, b^{3}} + \frac{7 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{4}}{9 \, b^{2}} - \frac{59 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x^{3}}{264 \, b^{5}} + \frac{35 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{3}}{24 \, b^{4}} - \frac{91 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{3}}{72 \, b^{3}} + \frac{35 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{3}}{8 \, b^{2}} - \frac{{\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{7} x}{4 \, b^{7}} + \frac{7 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6} x}{4 \, b^{6}} - \frac{7 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} x}{4 \, b^{5}} + \frac{35 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} x}{4 \, b^{4}} - \frac{7 \, {\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{4 \, b^{3}} + \frac{7 \, {\left(b d^{6} e + 3 \, a d^{5} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{4 \, b^{2}} - \frac{{\left(b d^{7} + 7 \, a d^{6} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{4 \, b} + \frac{21 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x^{2}}{88 \, b^{6}} - \frac{13 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x^{2}}{8 \, b^{5}} + \frac{37 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{2}}{24 \, b^{4}} - \frac{55 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{2}}{8 \, b^{3}} + \frac{{\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{2}}{b^{2}} - \frac{{\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{8}}{4 \, b^{8}} + \frac{7 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{7}}{4 \, b^{7}} - \frac{7 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6}}{4 \, b^{6}} + \frac{35 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5}}{4 \, b^{5}} - \frac{7 \, {\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{4 \, b^{4}} + \frac{7 \, {\left(b d^{6} e + 3 \, a d^{5} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{4 \, b^{3}} - \frac{{\left(b d^{7} + 7 \, a d^{6} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{4 \, b^{2}} - \frac{65 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} x}{264 \, b^{7}} + \frac{41 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{24 \, b^{6}} - \frac{121 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{72 \, b^{5}} + \frac{65 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{8 \, b^{4}} - \frac{3 \, {\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{2 \, b^{3}} + \frac{7 \, {\left(b d^{6} e + 3 \, a d^{5} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x}{6 \, b^{2}} + \frac{329 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6}}{1320 \, b^{8}} - \frac{209 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{120 \, b^{7}} + \frac{125 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{72 \, b^{6}} - \frac{69 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{8 \, b^{5}} + \frac{17 \, {\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{10 \, b^{4}} - \frac{49 \, {\left(b d^{6} e + 3 \, a d^{5} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{30 \, b^{3}} + \frac{{\left(b d^{7} + 7 \, a d^{6} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, b^{2}}"," ",0,"1/12*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^7*x^7/b - 19/132*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^7*x^6/b^2 + 41/220*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^7*x^5/b^3 - 85/396*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^7*x^4/b^4 + 23/99*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*e^7*x^3/b^5 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^7*x + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^8*e^7*x/b^7 - 8/33*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*e^7*x^2/b^6 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^7/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^9*e^7/b^8 + 49/198*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*e^7*x/b^7 - 247/990*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7*e^7/b^8 + 1/11*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^6/b^2 - 17/110*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^5/b^3 + 7/10*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^5/b^2 + 13/66*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x^4/b^4 - 7/6*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^4/b^3 + 7/9*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^4/b^2 - 59/264*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x^3/b^5 + 35/24*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x^3/b^4 - 91/72*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^3/b^3 + 35/8*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^3/b^2 - 1/4*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^7*x/b^7 + 7/4*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6*x/b^6 - 7/4*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*x/b^5 + 35/4*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*x/b^4 - 7/4*(3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^3 + 7/4*(b*d^6*e + 3*a*d^5*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^2 - 1/4*(b*d^7 + 7*a*d^6*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b + 21/88*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x^2/b^6 - 13/8*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x^2/b^5 + 37/24*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x^2/b^4 - 55/8*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^2/b^3 + (3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^2/b^2 - 1/4*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^8/b^8 + 7/4*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^7/b^7 - 7/4*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6/b^6 + 35/4*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5/b^5 - 7/4*(3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^4 + 7/4*(b*d^6*e + 3*a*d^5*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^3 - 1/4*(b*d^7 + 7*a*d^6*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^2 - 65/264*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*x/b^7 + 41/24*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^6 - 121/72*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^5 + 65/8*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^4 - 3/2*(3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b^3 + 7/6*(b*d^6*e + 3*a*d^5*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x/b^2 + 329/1320*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6/b^8 - 209/120*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^7 + 125/72*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^6 - 69/8*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^5 + 17/10*(3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^4 - 49/30*(b*d^6*e + 3*a*d^5*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b^3 + 1/5*(b*d^7 + 7*a*d^6*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b^2","B",0
1969,1,1736,0,0.639715," ","integrate((b*x+a)*(e*x+d)^6*(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^{6} x^{6}}{11 \, b} - \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{6} x^{5}}{110 \, b^{2}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{6} x^{4}}{66 \, b^{3}} - \frac{59 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{6} x^{3}}{264 \, b^{4}} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{6} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{7} e^{6} x}{4 \, b^{6}} + \frac{21 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} e^{6} x^{2}}{88 \, b^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{6}}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{8} e^{6}}{4 \, b^{7}} - \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} e^{6} x}{264 \, b^{6}} + \frac{329 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} e^{6}}{1320 \, b^{7}} + \frac{{\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{5}}{10 \, b^{2}} - \frac{{\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{4}}{6 \, b^{3}} + \frac{{\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{4}}{3 \, b^{2}} + \frac{5 \, {\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{3}}{24 \, b^{4}} - \frac{13 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{3}}{24 \, b^{3}} + \frac{5 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{3}}{8 \, b^{2}} + \frac{{\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6} x}{4 \, b^{6}} - \frac{3 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} x}{4 \, b^{5}} + \frac{5 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} x}{4 \, b^{4}} - \frac{5 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{4 \, b^{3}} + \frac{3 \, {\left(2 \, b d^{5} e + 5 \, a d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{4 \, b^{2}} - \frac{{\left(b d^{6} + 6 \, a d^{5} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{4 \, b} - \frac{13 \, {\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x^{2}}{56 \, b^{5}} + \frac{37 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{2}}{56 \, b^{4}} - \frac{55 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{2}}{56 \, b^{3}} + \frac{5 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{2}}{7 \, b^{2}} + \frac{{\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{7}}{4 \, b^{7}} - \frac{3 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6}}{4 \, b^{6}} + \frac{5 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5}}{4 \, b^{5}} - \frac{5 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{4 \, b^{4}} + \frac{3 \, {\left(2 \, b d^{5} e + 5 \, a d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{4 \, b^{3}} - \frac{{\left(b d^{6} + 6 \, a d^{5} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{4 \, b^{2}} + \frac{41 \, {\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{168 \, b^{6}} - \frac{121 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{168 \, b^{5}} + \frac{65 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{56 \, b^{4}} - \frac{15 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{14 \, b^{3}} + \frac{{\left(2 \, b d^{5} e + 5 \, a d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x}{2 \, b^{2}} - \frac{209 \, {\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{840 \, b^{7}} + \frac{125 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{168 \, b^{6}} - \frac{69 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{56 \, b^{5}} + \frac{17 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{14 \, b^{4}} - \frac{7 \, {\left(2 \, b d^{5} e + 5 \, a d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{10 \, b^{3}} + \frac{{\left(b d^{6} + 6 \, a d^{5} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, b^{2}}"," ",0,"1/11*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^6*x^6/b - 17/110*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^6*x^5/b^2 + 13/66*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^6*x^4/b^3 - 59/264*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^6*x^3/b^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^6*x - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^7*e^6*x/b^6 + 21/88*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*e^6*x^2/b^5 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^6/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^8*e^6/b^7 - 65/264*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*e^6*x/b^6 + 329/1320*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*e^6/b^7 + 1/10*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^5/b^2 - 1/6*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^4/b^3 + 1/3*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^4/b^2 + 5/24*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x^3/b^4 - 13/24*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^3/b^3 + 5/8*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^3/b^2 + 1/4*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6*x/b^6 - 3/4*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*x/b^5 + 5/4*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*x/b^4 - 5/4*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^3 + 3/4*(2*b*d^5*e + 5*a*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^2 - 1/4*(b*d^6 + 6*a*d^5*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b - 13/56*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x^2/b^5 + 37/56*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x^2/b^4 - 55/56*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^2/b^3 + 5/7*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^2/b^2 + 1/4*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^7/b^7 - 3/4*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6/b^6 + 5/4*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5/b^5 - 5/4*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^4 + 3/4*(2*b*d^5*e + 5*a*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^3 - 1/4*(b*d^6 + 6*a*d^5*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^2 + 41/168*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^6 - 121/168*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^5 + 65/56*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^4 - 15/14*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b^3 + 1/2*(2*b*d^5*e + 5*a*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x/b^2 - 209/840*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^7 + 125/168*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^6 - 69/56*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^5 + 17/14*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^4 - 7/10*(2*b*d^5*e + 5*a*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b^3 + 1/5*(b*d^6 + 6*a*d^5*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b^2","B",0
1970,1,1323,0,0.771242," ","integrate((b*x+a)*(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^{5}}{10 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{5} x^{4}}{6 \, b^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{5} x^{3}}{24 \, b^{3}} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{5} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6} e^{5} x}{4 \, b^{5}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{5} x^{2}}{56 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{5}}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{7} e^{5}}{4 \, b^{6}} + \frac{41 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} e^{5} x}{168 \, b^{5}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} e^{5}}{840 \, b^{6}} + \frac{{\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{4}}{9 \, b^{2}} - \frac{13 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{3}}{72 \, b^{3}} + \frac{5 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{3}}{8 \, b^{2}} - \frac{{\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} x}{4 \, b^{5}} + \frac{5 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} x}{4 \, b^{4}} - \frac{5 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{2 \, b^{3}} + \frac{5 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{4 \, b^{2}} - \frac{{\left(b d^{5} + 5 \, a d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{4 \, b} + \frac{37 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{2}}{168 \, b^{4}} - \frac{55 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{2}}{56 \, b^{3}} + \frac{10 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{2}}{7 \, b^{2}} - \frac{{\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6}}{4 \, b^{6}} + \frac{5 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5}}{4 \, b^{5}} - \frac{5 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{2 \, b^{4}} + \frac{5 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{4 \, b^{3}} - \frac{{\left(b d^{5} + 5 \, a d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{4 \, b^{2}} - \frac{121 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{504 \, b^{5}} + \frac{65 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{56 \, b^{4}} - \frac{15 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{7 \, b^{3}} + \frac{5 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x}{6 \, b^{2}} + \frac{125 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{504 \, b^{6}} - \frac{69 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{56 \, b^{5}} + \frac{17 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{7 \, b^{4}} - \frac{7 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{6 \, b^{3}} + \frac{{\left(b d^{5} + 5 \, a d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, b^{2}}"," ",0,"1/10*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^5*x^5/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^5*x^4/b^2 + 5/24*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^5*x^3/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^5*x + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6*e^5*x/b^5 - 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^5*x^2/b^4 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^5/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^7*e^5/b^6 + 41/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*e^5*x/b^5 - 209/840*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*e^5/b^6 + 1/9*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^4/b^2 - 13/72*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^3/b^3 + 5/8*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^3/b^2 - 1/4*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*x/b^5 + 5/4*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*x/b^4 - 5/2*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^3 + 5/4*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^2 - 1/4*(b*d^5 + 5*a*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b + 37/168*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x^2/b^4 - 55/56*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^2/b^3 + 10/7*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^2/b^2 - 1/4*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6/b^6 + 5/4*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5/b^5 - 5/2*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^4 + 5/4*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^3 - 1/4*(b*d^5 + 5*a*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^2 - 121/504*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^5 + 65/56*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^4 - 15/7*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b^3 + 5/6*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x/b^2 + 125/504*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^6 - 69/56*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^5 + 17/7*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^4 - 7/6*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b^3 + 1/5*(b*d^5 + 5*a*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b^2","B",0
1971,1,998,0,0.735926," ","integrate((b*x+a)*(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^{4}}{9 \, b} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{4} x^{3}}{72 \, b^{2}} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{4} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} e^{4} x}{4 \, b^{4}} + \frac{37 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{4} x^{2}}{168 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{4}}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{6} e^{4}}{4 \, b^{5}} - \frac{121 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{4} x}{504 \, b^{4}} + \frac{125 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} e^{4}}{504 \, b^{5}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{3}}{8 \, b^{2}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} x}{4 \, b^{4}} - \frac{{\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{2 \, b^{3}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{4 \, b} - \frac{11 \, {\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x^{2}}{56 \, b^{3}} + \frac{2 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{2}}{7 \, b^{2}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5}}{4 \, b^{5}} - \frac{{\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{2 \, b^{4}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{4 \, b^{2}} + \frac{13 \, {\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{56 \, b^{4}} - \frac{3 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{7 \, b^{3}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x}{3 \, b^{2}} - \frac{69 \, {\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{280 \, b^{5}} + \frac{17 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{35 \, b^{4}} - \frac{7 \, {\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{15 \, b^{3}} + \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, b^{2}}"," ",0,"1/9*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^4*x^4/b - 13/72*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^4*x^3/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^4*x - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*e^4*x/b^4 + 37/168*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^4*x^2/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^4/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^6*e^4/b^5 - 121/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^4*x/b^4 + 125/504*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*e^4/b^5 + 1/8*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^3/b^2 + 1/4*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*x/b^4 - 1/2*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^3 + 1/2*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^2 - 1/4*(b*d^4 + 4*a*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b - 11/56*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x^2/b^3 + 2/7*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^2/b^2 + 1/4*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5/b^5 - 1/2*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^4 + 1/2*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^3 - 1/4*(b*d^4 + 4*a*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^2 + 13/56*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^4 - 3/7*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b^3 + 1/3*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x/b^2 - 69/280*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^5 + 17/35*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^4 - 7/15*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b^3 + 1/5*(b*d^4 + 4*a*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b^2","B",0
1972,1,693,0,0.648915," ","integrate((b*x+a)*(e*x+d)^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{5}{2}} e^{3} x^{3}}{8 \, b} + \frac{1}{4} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a d^{3} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} e^{3} x}{4 \, b^{3}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{3} x^{2}}{56 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{3}}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{5} e^{3}}{4 \, b^{4}} + \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{3} x}{56 \, b^{3}} - \frac{69 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{3}}{280 \, b^{4}} - \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} x}{4 \, b^{3}} + \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} x}{4 \, b^{2}} - \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a x}{4 \, b} + \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x^{2}}{7 \, b^{2}} - \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4}}{4 \, b^{4}} + \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3}}{4 \, b^{3}} - \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2}}{4 \, b^{2}} - \frac{3 \, {\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{14 \, b^{3}} + \frac{{\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} x}{2 \, b^{2}} + \frac{17 \, {\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{70 \, b^{4}} - \frac{7 \, {\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a}{10 \, b^{3}} + \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}{5 \, b^{2}}"," ",0,"1/8*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^3*x^3/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^3*x + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*e^3*x/b^3 - 11/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^3*x^2/b^2 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^3/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^5*e^3/b^4 + 13/56*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^3*x/b^3 - 69/280*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^3/b^4 - 1/4*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*x/b^3 + 3/4*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*x/b^2 - 1/4*(b*d^3 + 3*a*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*x/b + 1/7*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x^2/b^2 - 1/4*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4/b^4 + 3/4*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3/b^3 - 1/4*(b*d^3 + 3*a*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2/b^2 - 3/14*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b^3 + 1/2*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*x/b^2 + 17/70*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^4 - 7/10*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a/b^3 + 1/5*(b*d^3 + 3*a*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b^2","B",0
1973,1,452,0,0.571985," ","integrate((b*x+a)*(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}} a d^{2} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} e^{2} x}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} e^{2} x^{2}}{7 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d^{2}}{4 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{4} e^{2}}{4 \, b^{3}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e^{2} x}{14 \, b^{2}} + \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e^{2}}{70 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(2 \, b d e + a e^{2}\right)} a^{2} x}{4 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(b d^{2} + 2 \, a d e\right)} a x}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(2 \, b d e + a e^{2}\right)} a^{3}}{4 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(b d^{2} + 2 \, a d e\right)} a^{2}}{4 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(2 \, b d e + a e^{2}\right)} x}{6 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(2 \, b d e + a e^{2}\right)} a}{30 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(b d^{2} + 2 \, a d e\right)}}{5 \, b^{2}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d^2*x - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*e^2*x/b^2 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e^2*x^2/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d^2/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^4*e^2/b^3 - 3/14*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e^2*x/b^2 + 17/70*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e^2/b^3 + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(2*b*d*e + a*e^2)*a^2*x/b^2 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(b*d^2 + 2*a*d*e)*a*x/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(2*b*d*e + a*e^2)*a^3/b^3 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(b*d^2 + 2*a*d*e)*a^2/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(2*b*d*e + a*e^2)*x/b^2 - 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(2*b*d*e + a*e^2)*a/b^3 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(b*d^2 + 2*a*d*e)/b^2","B",0
1974,1,251,0,0.605687," ","integrate((b*x+a)*(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}} a d x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} e x}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{2} d}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} a^{3} e}{4 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(b d + a e\right)} a x}{4 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} e x}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} {\left(b d + a e\right)} a^{2}}{4 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a e}{30 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(b d + a e\right)}}{5 \, b^{2}}"," ",0,"1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a*d*x + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*e*x/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^2*d/b + 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*a^3*e/b^2 - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(b*d + a*e)*a*x/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*e*x/b - 1/4*(b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(b*d + a*e)*a^2/b^2 - 7/30*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*e/b^2 + 1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(b*d + a*e)/b^2","B",0
1975,1,23,0,0.476699," ","integrate((b*x+a)*(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}}}{5 \, b}"," ",0,"1/5*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)/b","A",0
1976,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1977,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1978,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1979,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1980,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1981,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1982,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1983,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1984,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1985,-2,0,0,0.000000," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(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
1986,-2,0,0,0.000000," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(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
1987,-2,0,0,0.000000," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(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
1988,1,3175,0,0.797259," ","integrate((b*x+a)*(e*x+d)^9*(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^{9} x^{9}}{16 \, b} - \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{9} x^{8}}{48 \, b^{2}} + \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{9} x^{7}}{84 \, b^{3}} - \frac{23 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} e^{9} x^{6}}{156 \, b^{4}} + \frac{49 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} e^{9} x^{5}}{312 \, b^{5}} - \frac{557 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} e^{9} x^{4}}{3432 \, b^{6}} + \frac{283 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6} e^{9} x^{3}}{1716 \, b^{7}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{9} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{10} e^{9} x}{6 \, b^{9}} - \frac{95 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{7} e^{9} x^{2}}{572 \, b^{8}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{9}}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{11} e^{9}}{6 \, b^{10}} + \frac{381 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{8} e^{9} x}{2288 \, b^{9}} - \frac{2669 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{9} e^{9}}{16016 \, b^{10}} + \frac{{\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{8}}{15 \, b^{2}} - \frac{23 \, {\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{7}}{210 \, b^{3}} + \frac{9 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{7}}{14 \, b^{2}} + \frac{53 \, {\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{6}}{390 \, b^{4}} - \frac{27 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{6}}{26 \, b^{3}} + \frac{12 \, {\left(7 \, b d^{3} e^{6} + 3 \, a d^{2} e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{6}}{13 \, b^{2}} - \frac{59 \, {\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{5}}{390 \, b^{5}} + \frac{33 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{5}}{26 \, b^{4}} - \frac{19 \, {\left(7 \, b d^{3} e^{6} + 3 \, a d^{2} e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{5}}{13 \, b^{3}} + \frac{7 \, {\left(3 \, b d^{4} e^{5} + 2 \, a d^{3} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{5}}{2 \, b^{2}} + \frac{137 \, {\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x^{4}}{858 \, b^{6}} - \frac{399 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{4}}{286 \, b^{5}} + \frac{251 \, {\left(7 \, b d^{3} e^{6} + 3 \, a d^{2} e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{4}}{143 \, b^{4}} - \frac{119 \, {\left(3 \, b d^{4} e^{5} + 2 \, a d^{3} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{4}}{22 \, b^{3}} + \frac{126 \, {\left(b d^{5} e^{4} + a d^{4} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{4}}{11 \, b^{2}} - \frac{703 \, {\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} x^{3}}{4290 \, b^{7}} + \frac{417 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x^{3}}{286 \, b^{6}} - \frac{272 \, {\left(7 \, b d^{3} e^{6} + 3 \, a d^{2} e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{3}}{143 \, b^{5}} + \frac{70 \, {\left(3 \, b d^{4} e^{5} + 2 \, a d^{3} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{3}}{11 \, b^{4}} - \frac{189 \, {\left(b d^{5} e^{4} + a d^{4} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{3}}{11 \, b^{3}} + \frac{21 \, {\left(2 \, b d^{6} e^{3} + 3 \, a d^{5} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{5 \, b^{2}} - \frac{{\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{9} x}{6 \, b^{9}} + \frac{3 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{8} x}{2 \, b^{8}} - \frac{2 \, {\left(7 \, b d^{3} e^{6} + 3 \, a d^{2} e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7} x}{b^{7}} + \frac{7 \, {\left(3 \, b d^{4} e^{5} + 2 \, a d^{3} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} x}{b^{6}} - \frac{21 \, {\left(b d^{5} e^{4} + a d^{4} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} x}{b^{5}} + \frac{7 \, {\left(2 \, b d^{6} e^{3} + 3 \, a d^{5} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{b^{4}} - \frac{2 \, {\left(3 \, b d^{7} e^{2} + 7 \, a d^{6} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{b^{3}} + \frac{3 \, {\left(b d^{8} e + 4 \, a d^{7} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(b d^{9} + 9 \, a d^{8} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} + \frac{237 \, {\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6} x^{2}}{1430 \, b^{8}} - \frac{425 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} x^{2}}{286 \, b^{7}} + \frac{844 \, {\left(7 \, b d^{3} e^{6} + 3 \, a d^{2} e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x^{2}}{429 \, b^{6}} - \frac{224 \, {\left(3 \, b d^{4} e^{5} + 2 \, a d^{3} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{2}}{33 \, b^{5}} + \frac{217 \, {\left(b d^{5} e^{4} + a d^{4} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{2}}{11 \, b^{4}} - \frac{91 \, {\left(2 \, b d^{6} e^{3} + 3 \, a d^{5} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{15 \, b^{3}} + \frac{4 \, {\left(3 \, b d^{7} e^{2} + 7 \, a d^{6} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{3 \, b^{2}} - \frac{{\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{10}}{6 \, b^{10}} + \frac{3 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{9}}{2 \, b^{9}} - \frac{2 \, {\left(7 \, b d^{3} e^{6} + 3 \, a d^{2} e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{8}}{b^{8}} + \frac{7 \, {\left(3 \, b d^{4} e^{5} + 2 \, a d^{3} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7}}{b^{7}} - \frac{21 \, {\left(b d^{5} e^{4} + a d^{4} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6}}{b^{6}} + \frac{7 \, {\left(2 \, b d^{6} e^{3} + 3 \, a d^{5} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{b^{5}} - \frac{2 \, {\left(3 \, b d^{7} e^{2} + 7 \, a d^{6} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{b^{4}} + \frac{3 \, {\left(b d^{8} e + 4 \, a d^{7} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(b d^{9} + 9 \, a d^{8} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} - \frac{119 \, {\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{7} x}{715 \, b^{9}} + \frac{214 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6} x}{143 \, b^{8}} - \frac{1709 \, {\left(7 \, b d^{3} e^{6} + 3 \, a d^{2} e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} x}{858 \, b^{7}} + \frac{917 \, {\left(3 \, b d^{4} e^{5} + 2 \, a d^{3} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x}{132 \, b^{6}} - \frac{455 \, {\left(b d^{5} e^{4} + a d^{4} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x}{22 \, b^{5}} + \frac{203 \, {\left(2 \, b d^{6} e^{3} + 3 \, a d^{5} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{30 \, b^{4}} - \frac{11 \, {\left(3 \, b d^{7} e^{2} + 7 \, a d^{6} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{6 \, b^{3}} + \frac{9 \, {\left(b d^{8} e + 4 \, a d^{7} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{8 \, b^{2}} + \frac{834 \, {\left(9 \, b d e^{8} + a e^{9}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{8}}{5005 \, b^{10}} - \frac{1501 \, {\left(4 \, b d^{2} e^{7} + a d e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{7}}{1001 \, b^{9}} + \frac{1715 \, {\left(7 \, b d^{3} e^{6} + 3 \, a d^{2} e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6}}{858 \, b^{8}} - \frac{923 \, {\left(3 \, b d^{4} e^{5} + 2 \, a d^{3} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5}}{132 \, b^{7}} + \frac{461 \, {\left(b d^{5} e^{4} + a d^{4} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4}}{22 \, b^{6}} - \frac{209 \, {\left(2 \, b d^{6} e^{3} + 3 \, a d^{5} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{30 \, b^{5}} + \frac{83 \, {\left(3 \, b d^{7} e^{2} + 7 \, a d^{6} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{42 \, b^{4}} - \frac{81 \, {\left(b d^{8} e + 4 \, a d^{7} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}} + \frac{{\left(b d^{9} + 9 \, a d^{8} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/16*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^9*x^9/b - 5/48*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^9*x^8/b^2 + 11/84*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^9*x^7/b^3 - 23/156*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*e^9*x^6/b^4 + 49/312*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*e^9*x^5/b^5 - 557/3432*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*e^9*x^4/b^6 + 283/1716*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6*e^9*x^3/b^7 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^9*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^10*e^9*x/b^9 - 95/572*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^7*e^9*x^2/b^8 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^9/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^11*e^9/b^10 + 381/2288*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^8*e^9*x/b^9 - 2669/16016*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^9*e^9/b^10 + 1/15*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^8/b^2 - 23/210*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^7/b^3 + 9/14*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^7/b^2 + 53/390*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^6/b^4 - 27/26*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^6/b^3 + 12/13*(7*b*d^3*e^6 + 3*a*d^2*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^6/b^2 - 59/390*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^5/b^5 + 33/26*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^5/b^4 - 19/13*(7*b*d^3*e^6 + 3*a*d^2*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^5/b^3 + 7/2*(3*b*d^4*e^5 + 2*a*d^3*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^5/b^2 + 137/858*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x^4/b^6 - 399/286*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^4/b^5 + 251/143*(7*b*d^3*e^6 + 3*a*d^2*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^4/b^4 - 119/22*(3*b*d^4*e^5 + 2*a*d^3*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^4/b^3 + 126/11*(b*d^5*e^4 + a*d^4*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^4/b^2 - 703/4290*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*x^3/b^7 + 417/286*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x^3/b^6 - 272/143*(7*b*d^3*e^6 + 3*a*d^2*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^3/b^5 + 70/11*(3*b*d^4*e^5 + 2*a*d^3*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^3/b^4 - 189/11*(b*d^5*e^4 + a*d^4*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^3/b^3 + 21/5*(2*b*d^6*e^3 + 3*a*d^5*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 - 1/6*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^9*x/b^9 + 3/2*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^8*x/b^8 - 2*(7*b*d^3*e^6 + 3*a*d^2*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7*x/b^7 + 7*(3*b*d^4*e^5 + 2*a*d^3*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*x/b^6 - 21*(b*d^5*e^4 + a*d^4*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*x/b^5 + 7*(2*b*d^6*e^3 + 3*a*d^5*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 2*(3*b*d^7*e^2 + 7*a*d^6*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 3/2*(b*d^8*e + 4*a*d^7*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(b*d^9 + 9*a*d^8*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b + 237/1430*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6*x^2/b^8 - 425/286*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*x^2/b^7 + 844/429*(7*b*d^3*e^6 + 3*a*d^2*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x^2/b^6 - 224/33*(3*b*d^4*e^5 + 2*a*d^3*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^2/b^5 + 217/11*(b*d^5*e^4 + a*d^4*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^2/b^4 - 91/15*(2*b*d^6*e^3 + 3*a*d^5*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 4/3*(3*b*d^7*e^2 + 7*a*d^6*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 - 1/6*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^10/b^10 + 3/2*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^9/b^9 - 2*(7*b*d^3*e^6 + 3*a*d^2*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^8/b^8 + 7*(3*b*d^4*e^5 + 2*a*d^3*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7/b^7 - 21*(b*d^5*e^4 + a*d^4*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6/b^6 + 7*(2*b*d^6*e^3 + 3*a*d^5*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 - 2*(3*b*d^7*e^2 + 7*a*d^6*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 3/2*(b*d^8*e + 4*a*d^7*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(b*d^9 + 9*a*d^8*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 - 119/715*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^7*x/b^9 + 214/143*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6*x/b^8 - 1709/858*(7*b*d^3*e^6 + 3*a*d^2*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*x/b^7 + 917/132*(3*b*d^4*e^5 + 2*a*d^3*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x/b^6 - 455/22*(b*d^5*e^4 + a*d^4*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x/b^5 + 203/30*(2*b*d^6*e^3 + 3*a*d^5*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 11/6*(3*b*d^7*e^2 + 7*a*d^6*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 9/8*(b*d^8*e + 4*a*d^7*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 + 834/5005*(9*b*d*e^8 + a*e^9)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^8/b^10 - 1501/1001*(4*b*d^2*e^7 + a*d*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^7/b^9 + 1715/858*(7*b*d^3*e^6 + 3*a*d^2*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6/b^8 - 923/132*(3*b*d^4*e^5 + 2*a*d^3*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5/b^7 + 461/22*(b*d^5*e^4 + a*d^4*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4/b^6 - 209/30*(2*b*d^6*e^3 + 3*a*d^5*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5 + 83/42*(3*b*d^7*e^2 + 7*a*d^6*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 81/56*(b*d^8*e + 4*a*d^7*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(b*d^9 + 9*a*d^8*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1989,1,2653,0,0.818590," ","integrate((b*x+a)*(e*x+d)^8*(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^{8} x^{8}}{15 \, b} - \frac{23 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{8} x^{7}}{210 \, b^{2}} + \frac{53 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{8} x^{6}}{390 \, b^{3}} - \frac{59 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} e^{8} x^{5}}{390 \, b^{4}} + \frac{137 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} e^{8} x^{4}}{858 \, b^{5}} - \frac{703 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} e^{8} x^{3}}{4290 \, b^{6}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{8} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{9} e^{8} x}{6 \, b^{8}} + \frac{237 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6} e^{8} x^{2}}{1430 \, b^{7}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{8}}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{10} e^{8}}{6 \, b^{9}} - \frac{119 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{7} e^{8} x}{715 \, b^{8}} + \frac{834 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{8} e^{8}}{5005 \, b^{9}} + \frac{{\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{7}}{14 \, b^{2}} - \frac{3 \, {\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{6}}{26 \, b^{3}} + \frac{4 \, {\left(7 \, b d^{2} e^{6} + 2 \, a d e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{6}}{13 \, b^{2}} + \frac{11 \, {\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{5}}{78 \, b^{4}} - \frac{19 \, {\left(7 \, b d^{2} e^{6} + 2 \, a d e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{5}}{39 \, b^{3}} + \frac{7 \, {\left(2 \, b d^{3} e^{5} + a d^{2} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{5}}{3 \, b^{2}} - \frac{133 \, {\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{4}}{858 \, b^{5}} + \frac{251 \, {\left(7 \, b d^{2} e^{6} + 2 \, a d e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{4}}{429 \, b^{4}} - \frac{119 \, {\left(2 \, b d^{3} e^{5} + a d^{2} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{4}}{33 \, b^{3}} + \frac{14 \, {\left(5 \, b d^{4} e^{4} + 4 \, a d^{3} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{4}}{11 \, b^{2}} + \frac{139 \, {\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x^{3}}{858 \, b^{6}} - \frac{272 \, {\left(7 \, b d^{2} e^{6} + 2 \, a d e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{3}}{429 \, b^{5}} + \frac{140 \, {\left(2 \, b d^{3} e^{5} + a d^{2} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{3}}{33 \, b^{4}} - \frac{21 \, {\left(5 \, b d^{4} e^{4} + 4 \, a d^{3} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{3}}{11 \, b^{3}} + \frac{7 \, {\left(4 \, b d^{5} e^{3} + 5 \, a d^{4} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{5 \, b^{2}} + \frac{{\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{8} x}{6 \, b^{8}} - \frac{2 \, {\left(7 \, b d^{2} e^{6} + 2 \, a d e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7} x}{3 \, b^{7}} + \frac{14 \, {\left(2 \, b d^{3} e^{5} + a d^{2} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} x}{3 \, b^{6}} - \frac{7 \, {\left(5 \, b d^{4} e^{4} + 4 \, a d^{3} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} x}{3 \, b^{5}} + \frac{7 \, {\left(4 \, b d^{5} e^{3} + 5 \, a d^{4} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{3 \, b^{4}} - \frac{14 \, {\left(b d^{6} e^{2} + 2 \, a d^{5} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{3 \, b^{3}} + \frac{2 \, {\left(2 \, b d^{7} e + 7 \, a d^{6} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{3 \, b^{2}} - \frac{{\left(b d^{8} + 8 \, a d^{7} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} - \frac{425 \, {\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} x^{2}}{2574 \, b^{7}} + \frac{844 \, {\left(7 \, b d^{2} e^{6} + 2 \, a d e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x^{2}}{1287 \, b^{6}} - \frac{448 \, {\left(2 \, b d^{3} e^{5} + a d^{2} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{2}}{99 \, b^{5}} + \frac{217 \, {\left(5 \, b d^{4} e^{4} + 4 \, a d^{3} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{2}}{99 \, b^{4}} - \frac{91 \, {\left(4 \, b d^{5} e^{3} + 5 \, a d^{4} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{45 \, b^{3}} + \frac{28 \, {\left(b d^{6} e^{2} + 2 \, a d^{5} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} + \frac{{\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{9}}{6 \, b^{9}} - \frac{2 \, {\left(7 \, b d^{2} e^{6} + 2 \, a d e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{8}}{3 \, b^{8}} + \frac{14 \, {\left(2 \, b d^{3} e^{5} + a d^{2} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7}}{3 \, b^{7}} - \frac{7 \, {\left(5 \, b d^{4} e^{4} + 4 \, a d^{3} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6}}{3 \, b^{6}} + \frac{7 \, {\left(4 \, b d^{5} e^{3} + 5 \, a d^{4} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{3 \, b^{5}} - \frac{14 \, {\left(b d^{6} e^{2} + 2 \, a d^{5} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{3 \, b^{4}} + \frac{2 \, {\left(2 \, b d^{7} e + 7 \, a d^{6} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{3 \, b^{3}} - \frac{{\left(b d^{8} + 8 \, a d^{7} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} + \frac{214 \, {\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6} x}{1287 \, b^{8}} - \frac{1709 \, {\left(7 \, b d^{2} e^{6} + 2 \, a d e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} x}{2574 \, b^{7}} + \frac{917 \, {\left(2 \, b d^{3} e^{5} + a d^{2} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x}{198 \, b^{6}} - \frac{455 \, {\left(5 \, b d^{4} e^{4} + 4 \, a d^{3} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x}{198 \, b^{5}} + \frac{203 \, {\left(4 \, b d^{5} e^{3} + 5 \, a d^{4} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{90 \, b^{4}} - \frac{77 \, {\left(b d^{6} e^{2} + 2 \, a d^{5} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{18 \, b^{3}} + \frac{{\left(2 \, b d^{7} e + 7 \, a d^{6} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{2 \, b^{2}} - \frac{1501 \, {\left(8 \, b d e^{7} + a e^{8}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{7}}{9009 \, b^{9}} + \frac{1715 \, {\left(7 \, b d^{2} e^{6} + 2 \, a d e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6}}{2574 \, b^{8}} - \frac{923 \, {\left(2 \, b d^{3} e^{5} + a d^{2} e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5}}{198 \, b^{7}} + \frac{461 \, {\left(5 \, b d^{4} e^{4} + 4 \, a d^{3} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4}}{198 \, b^{6}} - \frac{209 \, {\left(4 \, b d^{5} e^{3} + 5 \, a d^{4} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{90 \, b^{5}} + \frac{83 \, {\left(b d^{6} e^{2} + 2 \, a d^{5} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{18 \, b^{4}} - \frac{9 \, {\left(2 \, b d^{7} e + 7 \, a d^{6} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{14 \, b^{3}} + \frac{{\left(b d^{8} + 8 \, a d^{7} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/15*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^8*x^8/b - 23/210*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^8*x^7/b^2 + 53/390*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^8*x^6/b^3 - 59/390*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*e^8*x^5/b^4 + 137/858*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*e^8*x^4/b^5 - 703/4290*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*e^8*x^3/b^6 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^8*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^9*e^8*x/b^8 + 237/1430*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6*e^8*x^2/b^7 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^8/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^10*e^8/b^9 - 119/715*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^7*e^8*x/b^8 + 834/5005*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^8*e^8/b^9 + 1/14*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^7/b^2 - 3/26*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^6/b^3 + 4/13*(7*b*d^2*e^6 + 2*a*d*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^6/b^2 + 11/78*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^5/b^4 - 19/39*(7*b*d^2*e^6 + 2*a*d*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^5/b^3 + 7/3*(2*b*d^3*e^5 + a*d^2*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^5/b^2 - 133/858*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^4/b^5 + 251/429*(7*b*d^2*e^6 + 2*a*d*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^4/b^4 - 119/33*(2*b*d^3*e^5 + a*d^2*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^4/b^3 + 14/11*(5*b*d^4*e^4 + 4*a*d^3*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^4/b^2 + 139/858*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x^3/b^6 - 272/429*(7*b*d^2*e^6 + 2*a*d*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^3/b^5 + 140/33*(2*b*d^3*e^5 + a*d^2*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^3/b^4 - 21/11*(5*b*d^4*e^4 + 4*a*d^3*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^3/b^3 + 7/5*(4*b*d^5*e^3 + 5*a*d^4*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 + 1/6*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^8*x/b^8 - 2/3*(7*b*d^2*e^6 + 2*a*d*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7*x/b^7 + 14/3*(2*b*d^3*e^5 + a*d^2*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*x/b^6 - 7/3*(5*b*d^4*e^4 + 4*a*d^3*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*x/b^5 + 7/3*(4*b*d^5*e^3 + 5*a*d^4*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 14/3*(b*d^6*e^2 + 2*a*d^5*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 2/3*(2*b*d^7*e + 7*a*d^6*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(b*d^8 + 8*a*d^7*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b - 425/2574*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*x^2/b^7 + 844/1287*(7*b*d^2*e^6 + 2*a*d*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x^2/b^6 - 448/99*(2*b*d^3*e^5 + a*d^2*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^2/b^5 + 217/99*(5*b*d^4*e^4 + 4*a*d^3*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^2/b^4 - 91/45*(4*b*d^5*e^3 + 5*a*d^4*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 28/9*(b*d^6*e^2 + 2*a*d^5*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 + 1/6*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^9/b^9 - 2/3*(7*b*d^2*e^6 + 2*a*d*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^8/b^8 + 14/3*(2*b*d^3*e^5 + a*d^2*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7/b^7 - 7/3*(5*b*d^4*e^4 + 4*a*d^3*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6/b^6 + 7/3*(4*b*d^5*e^3 + 5*a*d^4*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 - 14/3*(b*d^6*e^2 + 2*a*d^5*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 2/3*(2*b*d^7*e + 7*a*d^6*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(b*d^8 + 8*a*d^7*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 + 214/1287*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6*x/b^8 - 1709/2574*(7*b*d^2*e^6 + 2*a*d*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*x/b^7 + 917/198*(2*b*d^3*e^5 + a*d^2*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x/b^6 - 455/198*(5*b*d^4*e^4 + 4*a*d^3*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x/b^5 + 203/90*(4*b*d^5*e^3 + 5*a*d^4*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 77/18*(b*d^6*e^2 + 2*a*d^5*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 1/2*(2*b*d^7*e + 7*a*d^6*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 - 1501/9009*(8*b*d*e^7 + a*e^8)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^7/b^9 + 1715/2574*(7*b*d^2*e^6 + 2*a*d*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6/b^8 - 923/198*(2*b*d^3*e^5 + a*d^2*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5/b^7 + 461/198*(5*b*d^4*e^4 + 4*a*d^3*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4/b^6 - 209/90*(4*b*d^5*e^3 + 5*a*d^4*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5 + 83/18*(b*d^6*e^2 + 2*a*d^5*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 9/14*(2*b*d^7*e + 7*a*d^6*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(b*d^8 + 8*a*d^7*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1990,1,2153,0,0.718597," ","integrate((b*x+a)*(e*x+d)^7*(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^{7} x^{7}}{14 \, b} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{7} x^{6}}{26 \, b^{2}} + \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{7} x^{5}}{78 \, b^{3}} - \frac{133 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} e^{7} x^{4}}{858 \, b^{4}} + \frac{139 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} e^{7} x^{3}}{858 \, b^{5}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{7} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{8} e^{7} x}{6 \, b^{7}} - \frac{425 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} e^{7} x^{2}}{2574 \, b^{6}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{7}}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{9} e^{7}}{6 \, b^{8}} + \frac{214 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6} e^{7} x}{1287 \, b^{7}} - \frac{1501 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{7} e^{7}}{9009 \, b^{8}} + \frac{{\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{6}}{13 \, b^{2}} - \frac{19 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{5}}{156 \, b^{3}} + \frac{7 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{5}}{12 \, b^{2}} + \frac{251 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{4}}{1716 \, b^{4}} - \frac{119 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{4}}{132 \, b^{3}} + \frac{7 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{4}}{11 \, b^{2}} - \frac{68 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{3}}{429 \, b^{5}} + \frac{35 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{3}}{33 \, b^{4}} - \frac{21 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{3}}{22 \, b^{3}} + \frac{7 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{2 \, b^{2}} - \frac{{\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7} x}{6 \, b^{7}} + \frac{7 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} x}{6 \, b^{6}} - \frac{7 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} x}{6 \, b^{5}} + \frac{35 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{6 \, b^{4}} - \frac{7 \, {\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{6 \, b^{3}} + \frac{7 \, {\left(b d^{6} e + 3 \, a d^{5} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{6 \, b^{2}} - \frac{{\left(b d^{7} + 7 \, a d^{6} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} + \frac{211 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x^{2}}{1287 \, b^{6}} - \frac{112 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{2}}{99 \, b^{5}} + \frac{217 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{2}}{198 \, b^{4}} - \frac{91 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{18 \, b^{3}} + \frac{7 \, {\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} - \frac{{\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{8}}{6 \, b^{8}} + \frac{7 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7}}{6 \, b^{7}} - \frac{7 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6}}{6 \, b^{6}} + \frac{35 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{6 \, b^{5}} - \frac{7 \, {\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{6 \, b^{4}} + \frac{7 \, {\left(b d^{6} e + 3 \, a d^{5} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{6 \, b^{3}} - \frac{{\left(b d^{7} + 7 \, a d^{6} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} - \frac{1709 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} x}{10296 \, b^{7}} + \frac{917 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x}{792 \, b^{6}} - \frac{455 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x}{396 \, b^{5}} + \frac{203 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{36 \, b^{4}} - \frac{77 \, {\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{72 \, b^{3}} + \frac{7 \, {\left(b d^{6} e + 3 \, a d^{5} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{8 \, b^{2}} + \frac{1715 \, {\left(7 \, b d e^{6} + a e^{7}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6}}{10296 \, b^{8}} - \frac{923 \, {\left(3 \, b d^{2} e^{5} + a d e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5}}{792 \, b^{7}} + \frac{461 \, {\left(5 \, b d^{3} e^{4} + 3 \, a d^{2} e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4}}{396 \, b^{6}} - \frac{209 \, {\left(b d^{4} e^{3} + a d^{3} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{36 \, b^{5}} + \frac{83 \, {\left(3 \, b d^{5} e^{2} + 5 \, a d^{4} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{72 \, b^{4}} - \frac{9 \, {\left(b d^{6} e + 3 \, a d^{5} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{8 \, b^{3}} + \frac{{\left(b d^{7} + 7 \, a d^{6} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/14*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^7*x^7/b - 3/26*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^7*x^6/b^2 + 11/78*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^7*x^5/b^3 - 133/858*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*e^7*x^4/b^4 + 139/858*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*e^7*x^3/b^5 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^7*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^8*e^7*x/b^7 - 425/2574*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*e^7*x^2/b^6 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^7/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^9*e^7/b^8 + 214/1287*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6*e^7*x/b^7 - 1501/9009*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^7*e^7/b^8 + 1/13*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^6/b^2 - 19/156*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^5/b^3 + 7/12*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^5/b^2 + 251/1716*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^4/b^4 - 119/132*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^4/b^3 + 7/11*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^4/b^2 - 68/429*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^3/b^5 + 35/33*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^3/b^4 - 21/22*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^3/b^3 + 7/2*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 - 1/6*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7*x/b^7 + 7/6*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*x/b^6 - 7/6*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*x/b^5 + 35/6*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 7/6*(3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 7/6*(b*d^6*e + 3*a*d^5*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(b*d^7 + 7*a*d^6*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b + 211/1287*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x^2/b^6 - 112/99*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^2/b^5 + 217/198*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^2/b^4 - 91/18*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 7/9*(3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 - 1/6*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^8/b^8 + 7/6*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7/b^7 - 7/6*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6/b^6 + 35/6*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 - 7/6*(3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 7/6*(b*d^6*e + 3*a*d^5*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(b*d^7 + 7*a*d^6*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 - 1709/10296*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*x/b^7 + 917/792*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x/b^6 - 455/396*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x/b^5 + 203/36*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 77/72*(3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 7/8*(b*d^6*e + 3*a*d^5*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 + 1715/10296*(7*b*d*e^6 + a*e^7)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6/b^8 - 923/792*(3*b*d^2*e^5 + a*d*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5/b^7 + 461/396*(5*b*d^3*e^4 + 3*a*d^2*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4/b^6 - 209/36*(b*d^4*e^3 + a*d^3*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5 + 83/72*(3*b*d^5*e^2 + 5*a*d^4*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 9/8*(b*d^6*e + 3*a*d^5*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(b*d^7 + 7*a*d^6*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1991,1,1736,0,0.703345," ","integrate((b*x+a)*(e*x+d)^6*(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^{6} x^{6}}{13 \, b} - \frac{19 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{6} x^{5}}{156 \, b^{2}} + \frac{251 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{6} x^{4}}{1716 \, b^{3}} - \frac{68 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} e^{6} x^{3}}{429 \, b^{4}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{6} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7} e^{6} x}{6 \, b^{6}} + \frac{211 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} e^{6} x^{2}}{1287 \, b^{5}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{6}}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{8} e^{6}}{6 \, b^{7}} - \frac{1709 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} e^{6} x}{10296 \, b^{6}} + \frac{1715 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{6} e^{6}}{10296 \, b^{7}} + \frac{{\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{5}}{12 \, b^{2}} - \frac{17 \, {\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{4}}{132 \, b^{3}} + \frac{3 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{4}}{11 \, b^{2}} + \frac{5 \, {\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{3}}{33 \, b^{4}} - \frac{9 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{3}}{22 \, b^{3}} + \frac{{\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{2 \, b^{2}} + \frac{{\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} x}{6 \, b^{6}} - \frac{{\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} x}{2 \, b^{5}} + \frac{5 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{6 \, b^{4}} - \frac{5 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{6 \, b^{3}} + \frac{{\left(2 \, b d^{5} e + 5 \, a d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(b d^{6} + 6 \, a d^{5} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} - \frac{16 \, {\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x^{2}}{99 \, b^{5}} + \frac{31 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{2}}{66 \, b^{4}} - \frac{13 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{18 \, b^{3}} + \frac{5 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} + \frac{{\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7}}{6 \, b^{7}} - \frac{{\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6}}{2 \, b^{6}} + \frac{5 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{6 \, b^{5}} - \frac{5 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{6 \, b^{4}} + \frac{{\left(2 \, b d^{5} e + 5 \, a d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(b d^{6} + 6 \, a d^{5} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} + \frac{131 \, {\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} x}{792 \, b^{6}} - \frac{65 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x}{132 \, b^{5}} + \frac{29 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{36 \, b^{4}} - \frac{55 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{72 \, b^{3}} + \frac{3 \, {\left(2 \, b d^{5} e + 5 \, a d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{8 \, b^{2}} - \frac{923 \, {\left(6 \, b d e^{5} + a e^{6}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5}}{5544 \, b^{7}} + \frac{461 \, {\left(5 \, b d^{2} e^{4} + 2 \, a d e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4}}{924 \, b^{6}} - \frac{209 \, {\left(4 \, b d^{3} e^{3} + 3 \, a d^{2} e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{252 \, b^{5}} + \frac{415 \, {\left(3 \, b d^{4} e^{2} + 4 \, a d^{3} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{504 \, b^{4}} - \frac{27 \, {\left(2 \, b d^{5} e + 5 \, a d^{4} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}} + \frac{{\left(b d^{6} + 6 \, a d^{5} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/13*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^6*x^6/b - 19/156*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^6*x^5/b^2 + 251/1716*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^6*x^4/b^3 - 68/429*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*e^6*x^3/b^4 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^6*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7*e^6*x/b^6 + 211/1287*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*e^6*x^2/b^5 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^6/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^8*e^6/b^7 - 1709/10296*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*e^6*x/b^6 + 1715/10296*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^6*e^6/b^7 + 1/12*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^5/b^2 - 17/132*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^4/b^3 + 3/11*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^4/b^2 + 5/33*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^3/b^4 - 9/22*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^3/b^3 + 1/2*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 + 1/6*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*x/b^6 - 1/2*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*x/b^5 + 5/6*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 5/6*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 1/2*(2*b*d^5*e + 5*a*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(b*d^6 + 6*a*d^5*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b - 16/99*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x^2/b^5 + 31/66*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^2/b^4 - 13/18*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 5/9*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 + 1/6*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7/b^7 - 1/2*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6/b^6 + 5/6*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 - 5/6*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 1/2*(2*b*d^5*e + 5*a*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(b*d^6 + 6*a*d^5*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 + 131/792*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*x/b^6 - 65/132*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x/b^5 + 29/36*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 55/72*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 3/8*(2*b*d^5*e + 5*a*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 - 923/5544*(6*b*d*e^5 + a*e^6)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5/b^7 + 461/924*(5*b*d^2*e^4 + 2*a*d*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4/b^6 - 209/252*(4*b*d^3*e^3 + 3*a*d^2*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5 + 415/504*(3*b*d^4*e^2 + 4*a*d^3*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 27/56*(2*b*d^5*e + 5*a*d^4*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(b*d^6 + 6*a*d^5*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1992,1,1323,0,0.641580," ","integrate((b*x+a)*(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^{5}}{12 \, b} - \frac{17 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{5} x^{4}}{132 \, b^{2}} + \frac{5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{5} x^{3}}{33 \, b^{3}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{5} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} e^{5} x}{6 \, b^{5}} - \frac{16 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} e^{5} x^{2}}{99 \, b^{4}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{5}}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{7} e^{5}}{6 \, b^{6}} + \frac{131 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} e^{5} x}{792 \, b^{5}} - \frac{923 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{5} e^{5}}{5544 \, b^{6}} + \frac{{\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{4}}{11 \, b^{2}} - \frac{3 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{3}}{22 \, b^{3}} + \frac{{\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{2 \, b^{2}} - \frac{{\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} x}{6 \, b^{5}} + \frac{5 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{6 \, b^{4}} - \frac{5 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{3 \, b^{3}} + \frac{5 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{6 \, b^{2}} - \frac{{\left(b d^{5} + 5 \, a d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} + \frac{31 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{2}}{198 \, b^{4}} - \frac{13 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{18 \, b^{3}} + \frac{10 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} - \frac{{\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6}}{6 \, b^{6}} + \frac{5 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{6 \, b^{5}} - \frac{5 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{3 \, b^{4}} + \frac{5 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{6 \, b^{3}} - \frac{{\left(b d^{5} + 5 \, a d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} - \frac{65 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} x}{396 \, b^{5}} + \frac{29 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{36 \, b^{4}} - \frac{55 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{36 \, b^{3}} + \frac{5 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{8 \, b^{2}} + \frac{461 \, {\left(5 \, b d e^{4} + a e^{5}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4}}{2772 \, b^{6}} - \frac{209 \, {\left(2 \, b d^{2} e^{3} + a d e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{252 \, b^{5}} + \frac{415 \, {\left(b d^{3} e^{2} + a d^{2} e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{252 \, b^{4}} - \frac{45 \, {\left(b d^{4} e + 2 \, a d^{3} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}} + \frac{{\left(b d^{5} + 5 \, a d^{4} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/12*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^5*x^5/b - 17/132*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^5*x^4/b^2 + 5/33*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^5*x^3/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^5*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*e^5*x/b^5 - 16/99*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*e^5*x^2/b^4 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^5/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^7*e^5/b^6 + 131/792*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*e^5*x/b^5 - 923/5544*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^5*e^5/b^6 + 1/11*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^4/b^2 - 3/22*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^3/b^3 + 1/2*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 - 1/6*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*x/b^5 + 5/6*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 5/3*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 5/6*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(b*d^5 + 5*a*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b + 31/198*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x^2/b^4 - 13/18*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 10/9*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 - 1/6*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6/b^6 + 5/6*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 - 5/3*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 5/6*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(b*d^5 + 5*a*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 - 65/396*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*x/b^5 + 29/36*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 55/36*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 5/8*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 + 461/2772*(5*b*d*e^4 + a*e^5)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4/b^6 - 209/252*(2*b*d^2*e^3 + a*d*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5 + 415/252*(b*d^3*e^2 + a*d^2*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 45/56*(b*d^4*e + 2*a*d^3*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(b*d^5 + 5*a*d^4*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1993,1,998,0,0.532382," ","integrate((b*x+a)*(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^{4}}{11 \, b} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{4} x^{3}}{22 \, b^{2}} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{4} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} e^{4} x}{6 \, b^{4}} + \frac{31 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{4} x^{2}}{198 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{4}}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{6} e^{4}}{6 \, b^{5}} - \frac{65 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} e^{4} x}{396 \, b^{4}} + \frac{461 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{4} e^{4}}{2772 \, b^{5}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{3}}{10 \, b^{2}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} x}{6 \, b^{4}} - \frac{{\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{3 \, b^{3}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{3 \, b^{2}} - \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} - \frac{13 \, {\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x^{2}}{90 \, b^{3}} + \frac{2 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5}}{6 \, b^{5}} - \frac{{\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{3 \, b^{4}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{3 \, b^{3}} - \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} + \frac{29 \, {\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} x}{180 \, b^{4}} - \frac{11 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{36 \, b^{3}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{4 \, b^{2}} - \frac{209 \, {\left(4 \, b d e^{3} + a e^{4}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3}}{1260 \, b^{5}} + \frac{83 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{252 \, b^{4}} - \frac{9 \, {\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{28 \, b^{3}} + \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/11*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^4*x^4/b - 3/22*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^4*x^3/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^4*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*e^4*x/b^4 + 31/198*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^4*x^2/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^4/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^6*e^4/b^5 - 65/396*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*e^4*x/b^4 + 461/2772*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^4*e^4/b^5 + 1/10*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^3/b^2 + 1/6*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*x/b^4 - 1/3*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 1/3*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(b*d^4 + 4*a*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b - 13/90*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x^2/b^3 + 2/9*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 + 1/6*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5/b^5 - 1/3*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 1/3*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(b*d^4 + 4*a*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 + 29/180*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*x/b^4 - 11/36*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 1/4*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 - 209/1260*(4*b*d*e^3 + a*e^4)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3/b^5 + 83/252*(3*b*d^2*e^2 + 2*a*d*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 9/28*(2*b*d^3*e + 3*a*d^2*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(b*d^4 + 4*a*d^3*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1994,1,693,0,0.596836," ","integrate((b*x+a)*(e*x+d)^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{7}{2}} e^{3} x^{3}}{10 \, b} + \frac{1}{6} \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a d^{3} x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} e^{3} x}{6 \, b^{3}} - \frac{13 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{3} x^{2}}{90 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{3}}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{5} e^{3}}{6 \, b^{4}} + \frac{29 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{3} x}{180 \, b^{3}} - \frac{209 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{3} e^{3}}{1260 \, b^{4}} - \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} x}{6 \, b^{3}} + \frac{{\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} x}{2 \, b^{2}} - \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a x}{6 \, b} + \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, b^{2}} - \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4}}{6 \, b^{4}} + \frac{{\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3}}{2 \, b^{3}} - \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2}}{6 \, b^{2}} - \frac{11 \, {\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a x}{72 \, b^{3}} + \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} x}{8 \, b^{2}} + \frac{83 \, {\left(3 \, b d e^{2} + a e^{3}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2}}{504 \, b^{4}} - \frac{27 \, {\left(b d^{2} e + a d e^{2}\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}} + \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}}}{7 \, b^{2}}"," ",0,"1/10*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^3*x^3/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^3*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*e^3*x/b^3 - 13/90*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^3*x^2/b^2 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^3/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^5*e^3/b^4 + 29/180*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^3*x/b^3 - 209/1260*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^3*e^3/b^4 - 1/6*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*x/b^3 + 1/2*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*x/b^2 - 1/6*(b*d^3 + 3*a*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*x/b + 1/9*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x^2/b^2 - 1/6*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4/b^4 + 1/2*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3/b^3 - 1/6*(b*d^3 + 3*a*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2/b^2 - 11/72*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*x/b^3 + 3/8*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*x/b^2 + 83/504*(3*b*d*e^2 + a*e^3)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2/b^4 - 27/56*(b*d^2*e + a*d*e^2)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a/b^3 + 1/7*(b*d^3 + 3*a*d^2*e)*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b^2","B",0
1995,1,452,0,0.756455," ","integrate((b*x+a)*(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}} a d^{2} x - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e^{2} x}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} e^{2} x^{2}}{9 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d^{2}}{6 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{4} e^{2}}{6 \, b^{3}} - \frac{11 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e^{2} x}{72 \, b^{2}} + \frac{83 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a^{2} e^{2}}{504 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(2 \, b d e + a e^{2}\right)} a^{2} x}{6 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(b d^{2} + 2 \, a d e\right)} a x}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(2 \, b d e + a e^{2}\right)} a^{3}}{6 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(b d^{2} + 2 \, a d e\right)} a^{2}}{6 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} {\left(2 \, b d e + a e^{2}\right)} x}{8 \, b^{2}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} {\left(2 \, b d e + a e^{2}\right)} a}{56 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} {\left(b d^{2} + 2 \, a d e\right)}}{7 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d^2*x - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e^2*x/b^2 + 1/9*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e^2*x^2/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d^2/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^4*e^2/b^3 - 11/72*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e^2*x/b^2 + 83/504*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a^2*e^2/b^3 + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(2*b*d*e + a*e^2)*a^2*x/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(b*d^2 + 2*a*d*e)*a*x/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(2*b*d*e + a*e^2)*a^3/b^3 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(b*d^2 + 2*a*d*e)*a^2/b^2 + 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*(2*b*d*e + a*e^2)*x/b^2 - 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*(2*b*d*e + a*e^2)*a/b^3 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*(b*d^2 + 2*a*d*e)/b^2","B",0
1996,1,251,0,0.631300," ","integrate((b*x+a)*(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}} a d x + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} e x}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{2} d}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} a^{3} e}{6 \, b^{2}} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(b d + a e\right)} a x}{6 \, b} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} e x}{8 \, b} - \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} {\left(b d + a e\right)} a^{2}}{6 \, b^{2}} - \frac{9 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} a e}{56 \, b^{2}} + \frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{7}{2}} {\left(b d + a e\right)}}{7 \, b^{2}}"," ",0,"1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a*d*x + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*e*x/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^2*d/b + 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*a^3*e/b^2 - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(b*d + a*e)*a*x/b + 1/8*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*e*x/b - 1/6*(b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(b*d + a*e)*a^2/b^2 - 9/56*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*a*e/b^2 + 1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)*(b*d + a*e)/b^2","B",0
1997,1,23,0,0.675174," ","integrate((b*x+a)*(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}}}{7 \, b}"," ",0,"1/7*(b^2*x^2 + 2*a*b*x + a^2)^(7/2)/b","A",0
1998,-2,0,0,0.000000," ","integrate((b*x+a)*(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
1999,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2000,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2001,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2002,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2003,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2004,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2005,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2006,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2007,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2008,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2009,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2010,-2,0,0,0.000000," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^13,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception 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
2011,-2,0,0,0.000000," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^14,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception 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
2012,-2,0,0,0.000000," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^15,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception 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
2013,-2,0,0,0.000000," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^16,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception 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
2014,-2,0,0,0.000000," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^17,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception 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
2015,1,688,0,0.572029," ","integrate((b*x+a)*(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^{4}}{5 \, b} - \frac{9 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a e^{4} x^{3}}{20 \, b^{2}} - \frac{77 \, a^{3} e^{4} x^{2}}{60 \, b^{3}} + \frac{47 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} e^{4} x^{2}}{60 \, b^{3}} + \frac{77 \, a^{4} e^{4} x}{30 \, b^{4}} + \frac{a d^{4} \log\left(x + \frac{a}{b}\right)}{b} - \frac{a^{5} e^{4} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{47 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{4} e^{4}}{30 \, b^{5}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} x^{3}}{4 \, b^{2}} + \frac{13 \, {\left(4 \, b d e^{3} + a e^{4}\right)} a^{2} x^{2}}{12 \, b^{3}} - \frac{5 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} a x^{2}}{3 \, b^{2}} + \frac{{\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} x^{2}}{b} - \frac{7 \, {\left(4 \, b d e^{3} + a e^{4}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a x^{2}}{12 \, b^{3}} + \frac{2 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} x^{2}}{3 \, b^{2}} - \frac{13 \, {\left(4 \, b d e^{3} + a e^{4}\right)} a^{3} x}{6 \, b^{4}} + \frac{10 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} a^{2} x}{3 \, b^{3}} - \frac{2 \, {\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} a x}{b^{2}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} a^{4} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{2 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} a^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{2 \, {\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} a^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} a \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{7 \, {\left(4 \, b d e^{3} + a e^{4}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3}}{6 \, b^{5}} - \frac{4 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{3 \, b^{4}} + \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}{b^{2}}"," ",0,"1/5*sqrt(b^2*x^2 + 2*a*b*x + a^2)*e^4*x^4/b - 9/20*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*e^4*x^3/b^2 - 77/60*a^3*e^4*x^2/b^3 + 47/60*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*e^4*x^2/b^3 + 77/30*a^4*e^4*x/b^4 + a*d^4*log(x + a/b)/b - a^5*e^4*log(x + a/b)/b^5 - 47/30*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^4*e^4/b^5 + 1/4*(4*b*d*e^3 + a*e^4)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*x^3/b^2 + 13/12*(4*b*d*e^3 + a*e^4)*a^2*x^2/b^3 - 5/3*(3*b*d^2*e^2 + 2*a*d*e^3)*a*x^2/b^2 + (2*b*d^3*e + 3*a*d^2*e^2)*x^2/b - 7/12*(4*b*d*e^3 + a*e^4)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*x^2/b^3 + 2/3*(3*b*d^2*e^2 + 2*a*d*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*x^2/b^2 - 13/6*(4*b*d*e^3 + a*e^4)*a^3*x/b^4 + 10/3*(3*b*d^2*e^2 + 2*a*d*e^3)*a^2*x/b^3 - 2*(2*b*d^3*e + 3*a*d^2*e^2)*a*x/b^2 + (4*b*d*e^3 + a*e^4)*a^4*log(x + a/b)/b^5 - 2*(3*b*d^2*e^2 + 2*a*d*e^3)*a^3*log(x + a/b)/b^4 + 2*(2*b*d^3*e + 3*a*d^2*e^2)*a^2*log(x + a/b)/b^3 - (b*d^4 + 4*a*d^3*e)*a*log(x + a/b)/b^2 + 7/6*(4*b*d*e^3 + a*e^4)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3/b^5 - 4/3*(3*b*d^2*e^2 + 2*a*d*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^4 + (b*d^4 + 4*a*d^3*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)/b^2","B",0
2016,1,432,0,0.534718," ","integrate((b*x+a)*(e*x+d)^3/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} e^{3} x^{3}}{4 \, b} + \frac{13 \, a^{2} e^{3} x^{2}}{12 \, b^{2}} - \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a e^{3} x^{2}}{12 \, b^{2}} - \frac{13 \, a^{3} e^{3} x}{6 \, b^{3}} + \frac{a d^{3} \log\left(x + \frac{a}{b}\right)}{b} + \frac{a^{4} e^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{7 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{3} e^{3}}{6 \, b^{4}} - \frac{5 \, {\left(3 \, b d e^{2} + a e^{3}\right)} a x^{2}}{6 \, b^{2}} + \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} x^{2}}{2 \, b} + \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} x^{2}}{3 \, b^{2}} + \frac{5 \, {\left(3 \, b d e^{2} + a e^{3}\right)} a^{2} x}{3 \, b^{3}} - \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} a x}{b^{2}} - \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} a^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} a^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} a \log\left(x + \frac{a}{b}\right)}{b^{2}} - \frac{2 \, {\left(3 \, b d e^{2} + a e^{3}\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2}}{3 \, b^{4}} + \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}}}{b^{2}}"," ",0,"1/4*sqrt(b^2*x^2 + 2*a*b*x + a^2)*e^3*x^3/b + 13/12*a^2*e^3*x^2/b^2 - 7/12*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a*e^3*x^2/b^2 - 13/6*a^3*e^3*x/b^3 + a*d^3*log(x + a/b)/b + a^4*e^3*log(x + a/b)/b^4 + 7/6*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^3*e^3/b^4 - 5/6*(3*b*d*e^2 + a*e^3)*a*x^2/b^2 + 3/2*(b*d^2*e + a*d*e^2)*x^2/b + 1/3*(3*b*d*e^2 + a*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*x^2/b^2 + 5/3*(3*b*d*e^2 + a*e^3)*a^2*x/b^3 - 3*(b*d^2*e + a*d*e^2)*a*x/b^2 - (3*b*d*e^2 + a*e^3)*a^3*log(x + a/b)/b^4 + 3*(b*d^2*e + a*d*e^2)*a^2*log(x + a/b)/b^3 - (b*d^3 + 3*a*d^2*e)*a*log(x + a/b)/b^2 - 2/3*(3*b*d*e^2 + a*e^3)*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2/b^4 + (b*d^3 + 3*a*d^2*e)*sqrt(b^2*x^2 + 2*a*b*x + a^2)/b^2","B",0
2017,1,239,0,0.494184," ","integrate((b*x+a)*(e*x+d)^2/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{5 \, a e^{2} x^{2}}{6 \, b} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} e^{2} x^{2}}{3 \, b} + \frac{5 \, a^{2} e^{2} x}{3 \, b^{2}} + \frac{a d^{2} \log\left(x + \frac{a}{b}\right)}{b} - \frac{a^{3} e^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} + \frac{{\left(2 \, b d e + a e^{2}\right)} x^{2}}{2 \, b} - \frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} a^{2} e^{2}}{3 \, b^{3}} - \frac{{\left(2 \, b d e + a e^{2}\right)} a x}{b^{2}} + \frac{{\left(2 \, b d e + a e^{2}\right)} a^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{{\left(b d^{2} + 2 \, a d e\right)} a \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(b d^{2} + 2 \, a d e\right)}}{b^{2}}"," ",0,"-5/6*a*e^2*x^2/b + 1/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*e^2*x^2/b + 5/3*a^2*e^2*x/b^2 + a*d^2*log(x + a/b)/b - a^3*e^2*log(x + a/b)/b^3 + 1/2*(2*b*d*e + a*e^2)*x^2/b - 2/3*sqrt(b^2*x^2 + 2*a*b*x + a^2)*a^2*e^2/b^3 - (2*b*d*e + a*e^2)*a*x/b^2 + (2*b*d*e + a*e^2)*a^2*log(x + a/b)/b^3 - (b*d^2 + 2*a*d*e)*a*log(x + a/b)/b^2 + sqrt(b^2*x^2 + 2*a*b*x + a^2)*(b*d^2 + 2*a*d*e)/b^2","B",0
2018,1,95,0,0.761058," ","integrate((b*x+a)*(e*x+d)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, e x^{2} - \frac{a e x}{b} + \frac{a d \log\left(x + \frac{a}{b}\right)}{b} + \frac{a^{2} e \log\left(x + \frac{a}{b}\right)}{b^{2}} - \frac{{\left(b d + a e\right)} a \log\left(x + \frac{a}{b}\right)}{b^{2}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(b d + a e\right)}}{b^{2}}"," ",0,"1/2*e*x^2 - a*e*x/b + a*d*log(x + a/b)/b + a^2*e*log(x + a/b)/b^2 - (b*d + a*e)*a*log(x + a/b)/b^2 + sqrt(b^2*x^2 + 2*a*b*x + a^2)*(b*d + a*e)/b^2","B",0
2019,1,13,0,0.545153," ","integrate((b*x+a)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{{\left(b x + a\right)}^{2}}}{b}"," ",0,"sqrt((b*x + a)^2)/b","A",0
2020,-2,0,0,0.000000," ","integrate((b*x+a)/(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(((2*a*b)/e>0)', see `assume?` for more details)Is ((2*a*b)/e    -(2*b^2*d)/e^2)    ^2    -(4*b^2       *((-(2*a*b*d)/e)        +(b^2*d^2)/e^2+a^2))     /e^2 zero or nonzero?","F(-2)",0
2021,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2022,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2023,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2024,-2,0,0,0.000000," ","integrate((b*x+a)/(e*x+d)^5/((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
2025,1,754,0,0.641388," ","integrate((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{4} x^{4}}{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b} - \frac{7 \, a e^{4} x^{3}}{6 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{9 \, a^{2} e^{4} x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} - \frac{10 \, a^{3} e^{4} \log\left(x + \frac{a}{b}\right)}{b^{5}} + \frac{9 \, a^{4} e^{4}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}} + \frac{{\left(4 \, b d e^{3} + a e^{4}\right)} x^{3}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{20 \, a^{4} e^{4} x}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{5 \, {\left(4 \, b d e^{3} + a e^{4}\right)} a x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} + \frac{2 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{a d^{4}}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{39 \, a^{5} e^{4}}{2 \, b^{7} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{6 \, {\left(4 \, b d e^{3} + a e^{4}\right)} a^{2} \log\left(x + \frac{a}{b}\right)}{b^{5}} - \frac{6 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} a \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{2 \, {\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{5 \, {\left(4 \, b d e^{3} + a e^{4}\right)} a^{3}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{5}} + \frac{4 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} a^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{b d^{4} + 4 \, a d^{3} e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{12 \, {\left(4 \, b d e^{3} + a e^{4}\right)} a^{3} x}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{12 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} a^{2} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{4 \, {\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} a x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{23 \, {\left(4 \, b d e^{3} + a e^{4}\right)} a^{4}}{2 \, b^{7} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, {\left(3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} a^{3}}{b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, {\left(2 \, b d^{3} e + 3 \, a d^{2} e^{2}\right)} a^{2}}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(b d^{4} + 4 \, a d^{3} e\right)} a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"1/3*e^4*x^4/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b) - 7/6*a*e^4*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 9/2*a^2*e^4*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) - 10*a^3*e^4*log(x + a/b)/b^5 + 9*a^4*e^4/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5) + 1/2*(4*b*d*e^3 + a*e^4)*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 20*a^4*e^4*x/(b^6*(x + a/b)^2) - 5/2*(4*b*d*e^3 + a*e^4)*a*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) + 2*(3*b*d^2*e^2 + 2*a*d*e^3)*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 1/2*a*d^4/(b^3*(x + a/b)^2) - 39/2*a^5*e^4/(b^7*(x + a/b)^2) + 6*(4*b*d*e^3 + a*e^4)*a^2*log(x + a/b)/b^5 - 6*(3*b*d^2*e^2 + 2*a*d*e^3)*a*log(x + a/b)/b^4 + 2*(2*b*d^3*e + 3*a*d^2*e^2)*log(x + a/b)/b^3 - 5*(4*b*d*e^3 + a*e^4)*a^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^5) + 4*(3*b*d^2*e^2 + 2*a*d*e^3)*a^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - (b*d^4 + 4*a*d^3*e)/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 12*(4*b*d*e^3 + a*e^4)*a^3*x/(b^6*(x + a/b)^2) - 12*(3*b*d^2*e^2 + 2*a*d*e^3)*a^2*x/(b^5*(x + a/b)^2) + 4*(2*b*d^3*e + 3*a*d^2*e^2)*a*x/(b^4*(x + a/b)^2) + 23/2*(4*b*d*e^3 + a*e^4)*a^4/(b^7*(x + a/b)^2) - 11*(3*b*d^2*e^2 + 2*a*d*e^3)*a^3/(b^6*(x + a/b)^2) + 3*(2*b*d^3*e + 3*a*d^2*e^2)*a^2/(b^5*(x + a/b)^2) + 1/2*(b*d^4 + 4*a*d^3*e)*a/(b^4*(x + a/b)^2)","B",0
2026,1,481,0,0.626631," ","integrate((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{3} x^{3}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b} - \frac{5 \, a e^{3} x^{2}}{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{6 \, a^{2} e^{3} \log\left(x + \frac{a}{b}\right)}{b^{4}} - \frac{5 \, a^{3} e^{3}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} + \frac{{\left(3 \, b d e^{2} + a e^{3}\right)} x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{12 \, a^{3} e^{3} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{a d^{3}}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{23 \, a^{4} e^{3}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{3 \, {\left(3 \, b d e^{2} + a e^{3}\right)} a \log\left(x + \frac{a}{b}\right)}{b^{4}} + \frac{3 \, {\left(b d^{2} e + a d e^{2}\right)} \log\left(x + \frac{a}{b}\right)}{b^{3}} + \frac{2 \, {\left(3 \, b d e^{2} + a e^{3}\right)} a^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{4}} - \frac{b d^{3} + 3 \, a d^{2} e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{6 \, {\left(3 \, b d e^{2} + a e^{3}\right)} a^{2} x}{b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{6 \, {\left(b d^{2} e + a d e^{2}\right)} a x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, {\left(3 \, b d e^{2} + a e^{3}\right)} a^{3}}{2 \, b^{6} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{9 \, {\left(b d^{2} e + a d e^{2}\right)} a^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(b d^{3} + 3 \, a d^{2} e\right)} a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"1/2*e^3*x^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b) - 5/2*a*e^3*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 6*a^2*e^3*log(x + a/b)/b^4 - 5*a^3*e^3/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) + (3*b*d*e^2 + a*e^3)*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 12*a^3*e^3*x/(b^5*(x + a/b)^2) - 1/2*a*d^3/(b^3*(x + a/b)^2) + 23/2*a^4*e^3/(b^6*(x + a/b)^2) - 3*(3*b*d*e^2 + a*e^3)*a*log(x + a/b)/b^4 + 3*(b*d^2*e + a*d*e^2)*log(x + a/b)/b^3 + 2*(3*b*d*e^2 + a*e^3)*a^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^4) - (b*d^3 + 3*a*d^2*e)/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 6*(3*b*d*e^2 + a*e^3)*a^2*x/(b^5*(x + a/b)^2) + 6*(b*d^2*e + a*d*e^2)*a*x/(b^4*(x + a/b)^2) - 11/2*(3*b*d*e^2 + a*e^3)*a^3/(b^6*(x + a/b)^2) + 9/2*(b*d^2*e + a*d*e^2)*a^2/(b^5*(x + a/b)^2) + 1/2*(b*d^3 + 3*a*d^2*e)*a/(b^4*(x + a/b)^2)","B",0
2027,1,272,0,0.565375," ","integrate((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{2} x^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b} - \frac{3 \, a e^{2} \log\left(x + \frac{a}{b}\right)}{b^{3}} + \frac{2 \, a^{2} e^{2}}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{3}} - \frac{6 \, a^{2} e^{2} x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(2 \, b d e + a e^{2}\right)} \log\left(x + \frac{a}{b}\right)}{b^{3}} - \frac{b d^{2} + 2 \, a d e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} - \frac{a d^{2}}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{11 \, a^{3} e^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, {\left(2 \, b d e + a e^{2}\right)} a x}{b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, {\left(2 \, b d e + a e^{2}\right)} a^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(b d^{2} + 2 \, a d e\right)} a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"e^2*x^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b) - 3*a*e^2*log(x + a/b)/b^3 + 2*a^2*e^2/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^3) - 6*a^2*e^2*x/(b^4*(x + a/b)^2) + (2*b*d*e + a*e^2)*log(x + a/b)/b^3 - (b*d^2 + 2*a*d*e)/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) - 1/2*a*d^2/(b^3*(x + a/b)^2) - 11/2*a^3*e^2/(b^5*(x + a/b)^2) + 2*(2*b*d*e + a*e^2)*a*x/(b^4*(x + a/b)^2) + 3/2*(2*b*d*e + a*e^2)*a^2/(b^5*(x + a/b)^2) + 1/2*(b*d^2 + 2*a*d*e)*a/(b^4*(x + a/b)^2)","B",0
2028,1,117,0,0.547882," ","integrate((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{e \log\left(x + \frac{a}{b}\right)}{b^{2}} - \frac{b d + a e}{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} b^{2}} + \frac{2 \, a e x}{b^{3} {\left(x + \frac{a}{b}\right)}^{2}} - \frac{a d}{2 \, b^{3} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{3 \, a^{2} e}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{{\left(b d + a e\right)} a}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"e*log(x + a/b)/b^2 - (b*d + a*e)/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b^2) + 2*a*e*x/(b^3*(x + a/b)^2) - 1/2*a*d/(b^3*(x + a/b)^2) + 3/2*a^2*e/(b^4*(x + a/b)^2) + 1/2*(b*d + a*e)*a/(b^4*(x + a/b)^2)","B",0
2029,1,23,0,0.671572," ","integrate((b*x+a)/(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}"," ",0,"-1/(sqrt(b^2*x^2 + 2*a*b*x + a^2)*b)","A",0
2030,-2,0,0,0.000000," ","integrate((b*x+a)/(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(((2*a*b)/e>0)', see `assume?` for more details)Is ((2*a*b)/e    -(2*b^2*d)/e^2)    ^2    -(4*b^2       *((-(2*a*b*d)/e)        +(b^2*d^2)/e^2+a^2))     /e^2 zero or nonzero?","F(-2)",0
2031,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2032,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2033,1,1010,0,1.180319," ","integrate((b*x+a)*(e*x+d)^5/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{4} \, b e^{5} {\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{5}{12} \, b d e^{4} {\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{1}{12} \, a 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}{6} \, b d^{2} e^{3} {\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}{12} \, a 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} \, b d^{3} e^{2} {\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}{6} \, a 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{1}{12} \, b d^{5} {\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}{12} \, a 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}{12} \, b d^{4} e {\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{5}{6} \, a 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{a d^{5}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"1/4*b*e^5*((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) + 5/12*b*d*e^4*((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) + 1/12*a*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) + 5/6*b*d^2*e^3*((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) + 5/12*a*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*b*d^3*e^2*(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)) - 5/6*a*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)) - 1/12*b*d^5*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 5/12*a*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)) - 5/12*b*d^4*e*(6/(b^5*(x + a/b)^2) - 8*a/(b^6*(x + a/b)^3) + 3*a^2/(b^7*(x + a/b)^4)) - 5/6*a*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*a*d^5/(b^5*(x + a/b)^4)","B",0
2034,1,755,0,0.985466," ","integrate((b*x+a)*(e*x+d)^4/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{12} \, b e^{4} {\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{1}{3} \, b d e^{3} {\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}{12} \, a 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}{2} \, b d^{2} e^{2} {\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} \, a 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}{12} \, b d^{4} {\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}{3} \, a 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}{3} \, b d^{3} e {\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{1}{2} \, a 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{a d^{4}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"1/12*b*e^4*((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) + 1/3*b*d*e^3*((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) + 1/12*a*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) - 1/2*b*d^2*e^2*(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*a*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)) - 1/12*b*d^4*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 1/3*a*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)) - 1/3*b*d^3*e*(6/(b^5*(x + a/b)^2) - 8*a/(b^6*(x + a/b)^3) + 3*a^2/(b^7*(x + a/b)^4)) - 1/2*a*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*a*d^4/(b^5*(x + a/b)^4)","B",0
2035,1,533,0,0.776597," ","integrate((b*x+a)*(e*x+d)^3/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{12} \, b e^{3} {\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}{4} \, b d e^{2} {\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}{12} \, a 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}{12} \, b d^{3} {\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}{4} \, a d^{2} 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}{4} \, b d^{2} e {\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{1}{4} \, a d 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{a d^{3}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"1/12*b*e^3*((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) - 1/4*b*d*e^2*(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)) - 1/12*a*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)) - 1/12*b*d^3*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 1/4*a*d^2*e*(4/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 3*a/(b^6*(x + a/b)^4)) - 1/4*b*d^2*e*(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*a*d*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*a*d^3/(b^5*(x + a/b)^4)","B",0
2036,1,274,0,0.727325," ","integrate((b*x+a)*(e*x+d)^2/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{e^{2} x^{2}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b} - \frac{2 \, a^{2} e^{2}}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{3}} - \frac{b d^{2} + 2 \, a d e}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{a e^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, a^{2} e^{2}}{3 \, b^{6} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{a d^{2}}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{a^{3} e^{2}}{4 \, b^{7} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{2 \, b d e + a e^{2}}{2 \, b^{5} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, {\left(2 \, b d e + a e^{2}\right)} a}{3 \, b^{6} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{{\left(2 \, b d e + a e^{2}\right)} a^{2}}{4 \, b^{7} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{{\left(b d^{2} + 2 \, a d e\right)} a}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-e^2*x^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b) - 2/3*a^2*e^2/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^3) - 1/3*(b*d^2 + 2*a*d*e)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 1/2*a*e^2/(b^5*(x + a/b)^2) + 2/3*a^2*e^2/(b^6*(x + a/b)^3) - 1/4*a*d^2/(b^5*(x + a/b)^4) + 1/4*a^3*e^2/(b^7*(x + a/b)^4) - 1/2*(2*b*d*e + a*e^2)/(b^5*(x + a/b)^2) + 2/3*(2*b*d*e + a*e^2)*a/(b^6*(x + a/b)^3) - 1/4*(2*b*d*e + a*e^2)*a^2/(b^7*(x + a/b)^4) + 1/4*(b*d^2 + 2*a*d*e)*a/(b^6*(x + a/b)^4)","B",0
2037,1,118,0,0.597310," ","integrate((b*x+a)*(e*x+d)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{b d + a e}{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} b^{2}} - \frac{e}{2 \, b^{4} {\left(x + \frac{a}{b}\right)}^{2}} + \frac{2 \, a e}{3 \, b^{5} {\left(x + \frac{a}{b}\right)}^{3}} - \frac{a d}{4 \, b^{5} {\left(x + \frac{a}{b}\right)}^{4}} - \frac{a^{2} e}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}} + \frac{{\left(b d + a e\right)} a}{4 \, b^{6} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/3*(b*d + a*e)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b^2) - 1/2*e/(b^4*(x + a/b)^2) + 2/3*a*e/(b^5*(x + a/b)^3) - 1/4*a*d/(b^5*(x + a/b)^4) - 1/4*a^2*e/(b^6*(x + a/b)^4) + 1/4*(b*d + a*e)*a/(b^6*(x + a/b)^4)","B",0
2038,1,23,0,0.586753," ","integrate((b*x+a)/(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}"," ",0,"-1/3/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*b)","A",0
2039,-2,0,0,0.000000," ","integrate((b*x+a)/(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(((2*a*b)/e>0)', see `assume?` for more details)Is ((2*a*b)/e    -(2*b^2*d)/e^2)    ^2    -(4*b^2       *((-(2*a*b*d)/e)        +(b^2*d^2)/e^2+a^2))     /e^2 zero or nonzero?","F(-2)",0
2040,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2041,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2042,1,118,0,0.602275," ","integrate((b*x+a)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(429 \, {\left(e x + d\right)}^{\frac{15}{2}} b^{3} - 1485 \, {\left(b^{3} d - a b^{2} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 1755 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 715 \, {\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{6435 \, e^{4}}"," ",0,"2/6435*(429*(e*x + d)^(15/2)*b^3 - 1485*(b^3*d - a*b^2*e)*(e*x + d)^(13/2) + 1755*(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*(e*x + d)^(11/2) - 715*(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*(e*x + d)^(9/2))/e^4","A",0
2043,1,118,0,0.569394," ","integrate((b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(231 \, {\left(e x + d\right)}^{\frac{13}{2}} b^{3} - 819 \, {\left(b^{3} d - a b^{2} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 1001 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 429 \, {\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{3003 \, e^{4}}"," ",0,"2/3003*(231*(e*x + d)^(13/2)*b^3 - 819*(b^3*d - a*b^2*e)*(e*x + d)^(11/2) + 1001*(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*(e*x + d)^(9/2) - 429*(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*(e*x + d)^(7/2))/e^4","A",0
2044,1,118,0,0.549986," ","integrate((b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\frac{2 \, {\left(105 \, {\left(e x + d\right)}^{\frac{11}{2}} b^{3} - 385 \, {\left(b^{3} d - a b^{2} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 495 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 231 \, {\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{1155 \, e^{4}}"," ",0,"2/1155*(105*(e*x + d)^(11/2)*b^3 - 385*(b^3*d - a*b^2*e)*(e*x + d)^(9/2) + 495*(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*(e*x + d)^(7/2) - 231*(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*(e*x + d)^(5/2))/e^4","A",0
2045,1,118,0,0.620314," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(e x + d\right)}^{\frac{9}{2}} b^{3} - 135 \, {\left(b^{3} d - a b^{2} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 189 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 105 \, {\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{315 \, e^{4}}"," ",0,"2/315*(35*(e*x + d)^(9/2)*b^3 - 135*(b^3*d - a*b^2*e)*(e*x + d)^(7/2) + 189*(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*(e*x + d)^(5/2) - 105*(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*(e*x + d)^(3/2))/e^4","A",0
2046,1,118,0,0.538705," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, {\left(e x + d\right)}^{\frac{7}{2}} b^{3} - 21 \, {\left(b^{3} d - a b^{2} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 35 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 35 \, {\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} \sqrt{e x + d}\right)}}{35 \, e^{4}}"," ",0,"2/35*(5*(e*x + d)^(7/2)*b^3 - 21*(b^3*d - a*b^2*e)*(e*x + d)^(5/2) + 35*(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*(e*x + d)^(3/2) - 35*(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*sqrt(e*x + d))/e^4","A",0
2047,1,125,0,0.591427," ","integrate((b*x+a)*(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{5}{2}} b^{3} - 5 \, {\left(b^{3} d - a b^{2} e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 15 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\right)} \sqrt{e x + d}}{e^{3}} + \frac{5 \, {\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)}}{\sqrt{e x + d} e^{3}}\right)}}{5 \, e}"," ",0,"2/5*(((e*x + d)^(5/2)*b^3 - 5*(b^3*d - a*b^2*e)*(e*x + d)^(3/2) + 15*(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*sqrt(e*x + d))/e^3 + 5*(b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)/(sqrt(e*x + d)*e^3))/e","A",0
2048,1,122,0,0.513734," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} b^{3} - 9 \, {\left(b^{3} d - a b^{2} e\right)} \sqrt{e x + d}}{e^{3}} + \frac{b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3} - 9 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\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)*b^3 - 9*(b^3*d - a*b^2*e)*sqrt(e*x + d))/e^3 + (b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3 - 9*(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*(e*x + d))/((e*x + d)^(3/2)*e^3))/e","A",0
2049,1,121,0,0.706011," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, \sqrt{e x + d} b^{3}}{e^{3}} + \frac{b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3} + 15 \, {\left(b^{3} d - a b^{2} e\right)} {\left(e x + d\right)}^{2} - 5 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\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)*b^3/e^3 + (b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3 + 15*(b^3*d - a*b^2*e)*(e*x + d)^2 - 5*(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*(e*x + d))/((e*x + d)^(5/2)*e^3))/e","A",0
2050,1,259,0,0.505848," ","integrate((b*x+a)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(21879 \, {\left(e x + d\right)}^{\frac{19}{2}} b^{5} - 122265 \, {\left(b^{5} d - a b^{4} e\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 277134 \, {\left(b^{5} d^{2} - 2 \, a b^{4} d e + a^{2} b^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 319770 \, {\left(b^{5} d^{3} - 3 \, a b^{4} d^{2} e + 3 \, a^{2} b^{3} d e^{2} - a^{3} b^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 188955 \, {\left(b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 46189 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{415701 \, e^{6}}"," ",0,"2/415701*(21879*(e*x + d)^(19/2)*b^5 - 122265*(b^5*d - a*b^4*e)*(e*x + d)^(17/2) + 277134*(b^5*d^2 - 2*a*b^4*d*e + a^2*b^3*e^2)*(e*x + d)^(15/2) - 319770*(b^5*d^3 - 3*a*b^4*d^2*e + 3*a^2*b^3*d*e^2 - a^3*b^2*e^3)*(e*x + d)^(13/2) + 188955*(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4)*(e*x + d)^(11/2) - 46189*(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)*(e*x + d)^(9/2))/e^6","A",0
2051,1,259,0,0.525054," ","integrate((b*x+a)*(e*x+d)^(5/2)*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(9009 \, {\left(e x + d\right)}^{\frac{17}{2}} b^{5} - 51051 \, {\left(b^{5} d - a b^{4} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 117810 \, {\left(b^{5} d^{2} - 2 \, a b^{4} d e + a^{2} b^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 139230 \, {\left(b^{5} d^{3} - 3 \, a b^{4} d^{2} e + 3 \, a^{2} b^{3} d e^{2} - a^{3} b^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 85085 \, {\left(b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 21879 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{153153 \, e^{6}}"," ",0,"2/153153*(9009*(e*x + d)^(17/2)*b^5 - 51051*(b^5*d - a*b^4*e)*(e*x + d)^(15/2) + 117810*(b^5*d^2 - 2*a*b^4*d*e + a^2*b^3*e^2)*(e*x + d)^(13/2) - 139230*(b^5*d^3 - 3*a*b^4*d^2*e + 3*a^2*b^3*d*e^2 - a^3*b^2*e^3)*(e*x + d)^(11/2) + 85085*(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4)*(e*x + d)^(9/2) - 21879*(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)*(e*x + d)^(7/2))/e^6","A",0
2052,1,259,0,0.557664," ","integrate((b*x+a)*(e*x+d)^(3/2)*(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^{5} - 17325 \, {\left(b^{5} d - a b^{4} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 40950 \, {\left(b^{5} d^{2} - 2 \, a b^{4} d e + a^{2} b^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 50050 \, {\left(b^{5} d^{3} - 3 \, a b^{4} d^{2} e + 3 \, a^{2} b^{3} d e^{2} - a^{3} b^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 32175 \, {\left(b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 9009 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{45045 \, e^{6}}"," ",0,"2/45045*(3003*(e*x + d)^(15/2)*b^5 - 17325*(b^5*d - a*b^4*e)*(e*x + d)^(13/2) + 40950*(b^5*d^2 - 2*a*b^4*d*e + a^2*b^3*e^2)*(e*x + d)^(11/2) - 50050*(b^5*d^3 - 3*a*b^4*d^2*e + 3*a^2*b^3*d*e^2 - a^3*b^2*e^3)*(e*x + d)^(9/2) + 32175*(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4)*(e*x + d)^(7/2) - 9009*(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)*(e*x + d)^(5/2))/e^6","A",0
2053,1,259,0,0.485012," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(693 \, {\left(e x + d\right)}^{\frac{13}{2}} b^{5} - 4095 \, {\left(b^{5} d - a b^{4} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 10010 \, {\left(b^{5} d^{2} - 2 \, a b^{4} d e + a^{2} b^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 12870 \, {\left(b^{5} d^{3} - 3 \, a b^{4} d^{2} e + 3 \, a^{2} b^{3} d e^{2} - a^{3} b^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 9009 \, {\left(b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 3003 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{9009 \, e^{6}}"," ",0,"2/9009*(693*(e*x + d)^(13/2)*b^5 - 4095*(b^5*d - a*b^4*e)*(e*x + d)^(11/2) + 10010*(b^5*d^2 - 2*a*b^4*d*e + a^2*b^3*e^2)*(e*x + d)^(9/2) - 12870*(b^5*d^3 - 3*a*b^4*d^2*e + 3*a^2*b^3*d*e^2 - a^3*b^2*e^3)*(e*x + d)^(7/2) + 9009*(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4)*(e*x + d)^(5/2) - 3003*(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)*(e*x + d)^(3/2))/e^6","A",0
2054,1,259,0,0.564656," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, {\left(e x + d\right)}^{\frac{11}{2}} b^{5} - 385 \, {\left(b^{5} d - a b^{4} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 990 \, {\left(b^{5} d^{2} - 2 \, a b^{4} d e + a^{2} b^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 1386 \, {\left(b^{5} d^{3} - 3 \, a b^{4} d^{2} e + 3 \, a^{2} b^{3} d e^{2} - a^{3} b^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 693 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)} \sqrt{e x + d}\right)}}{693 \, e^{6}}"," ",0,"2/693*(63*(e*x + d)^(11/2)*b^5 - 385*(b^5*d - a*b^4*e)*(e*x + d)^(9/2) + 990*(b^5*d^2 - 2*a*b^4*d*e + a^2*b^3*e^2)*(e*x + d)^(7/2) - 1386*(b^5*d^3 - 3*a*b^4*d^2*e + 3*a^2*b^3*d*e^2 - a^3*b^2*e^3)*(e*x + d)^(5/2) + 1155*(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4)*(e*x + d)^(3/2) - 693*(b^5*d^5 - 5*a*b^4*d^4*e + 10*a^2*b^3*d^3*e^2 - 10*a^3*b^2*d^2*e^3 + 5*a^4*b*d*e^4 - a^5*e^5)*sqrt(e*x + d))/e^6","A",0
2055,1,267,0,0.524572," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{7 \, {\left(e x + d\right)}^{\frac{9}{2}} b^{5} - 45 \, {\left(b^{5} d - a b^{4} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 126 \, {\left(b^{5} d^{2} - 2 \, a b^{4} d e + a^{2} b^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 210 \, {\left(b^{5} d^{3} - 3 \, a b^{4} d^{2} e + 3 \, a^{2} b^{3} d e^{2} - a^{3} b^{2} e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 315 \, {\left(b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}\right)} \sqrt{e x + d}}{e^{5}} + \frac{63 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)}}{\sqrt{e x + d} e^{5}}\right)}}{63 \, e}"," ",0,"2/63*((7*(e*x + d)^(9/2)*b^5 - 45*(b^5*d - a*b^4*e)*(e*x + d)^(7/2) + 126*(b^5*d^2 - 2*a*b^4*d*e + a^2*b^3*e^2)*(e*x + d)^(5/2) - 210*(b^5*d^3 - 3*a*b^4*d^2*e + 3*a^2*b^3*d*e^2 - a^3*b^2*e^3)*(e*x + d)^(3/2) + 315*(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4)*sqrt(e*x + d))/e^5 + 63*(b^5*d^5 - 5*a*b^4*d^4*e + 10*a^2*b^3*d^3*e^2 - 10*a^3*b^2*d^2*e^3 + 5*a^4*b*d*e^4 - a^5*e^5)/(sqrt(e*x + d)*e^5))/e","A",0
2056,1,265,0,0.520006," ","integrate((b*x+a)*(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{7}{2}} b^{5} - 21 \, {\left(b^{5} d - a b^{4} e\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 70 \, {\left(b^{5} d^{2} - 2 \, a b^{4} d e + a^{2} b^{3} e^{2}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 210 \, {\left(b^{5} d^{3} - 3 \, a b^{4} d^{2} e + 3 \, a^{2} b^{3} d e^{2} - a^{3} b^{2} e^{3}\right)} \sqrt{e x + d}}{e^{5}} + \frac{7 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5} - 15 \, {\left(b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{5}}\right)}}{21 \, e}"," ",0,"2/21*((3*(e*x + d)^(7/2)*b^5 - 21*(b^5*d - a*b^4*e)*(e*x + d)^(5/2) + 70*(b^5*d^2 - 2*a*b^4*d*e + a^2*b^3*e^2)*(e*x + d)^(3/2) - 210*(b^5*d^3 - 3*a*b^4*d^2*e + 3*a^2*b^3*d*e^2 - a^3*b^2*e^3)*sqrt(e*x + d))/e^5 + 7*(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 - 15*(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4)*(e*x + d))/((e*x + d)^(3/2)*e^5))/e","A",0
2057,1,265,0,0.541329," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} b^{5} - 25 \, {\left(b^{5} d - a b^{4} e\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 150 \, {\left(b^{5} d^{2} - 2 \, a b^{4} d e + a^{2} b^{3} e^{2}\right)} \sqrt{e x + d}}{e^{5}} + \frac{3 \, b^{5} d^{5} - 15 \, a b^{4} d^{4} e + 30 \, a^{2} b^{3} d^{3} e^{2} - 30 \, a^{3} b^{2} d^{2} e^{3} + 15 \, a^{4} b d e^{4} - 3 \, a^{5} e^{5} + 150 \, {\left(b^{5} d^{3} - 3 \, a b^{4} d^{2} e + 3 \, a^{2} b^{3} d e^{2} - a^{3} b^{2} e^{3}\right)} {\left(e x + d\right)}^{2} - 25 \, {\left(b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}\right)} {\left(e x + d\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{5}}\right)}}{15 \, e}"," ",0,"2/15*((3*(e*x + d)^(5/2)*b^5 - 25*(b^5*d - a*b^4*e)*(e*x + d)^(3/2) + 150*(b^5*d^2 - 2*a*b^4*d*e + a^2*b^3*e^2)*sqrt(e*x + d))/e^5 + (3*b^5*d^5 - 15*a*b^4*d^4*e + 30*a^2*b^3*d^3*e^2 - 30*a^3*b^2*d^2*e^3 + 15*a^4*b*d*e^4 - 3*a^5*e^5 + 150*(b^5*d^3 - 3*a*b^4*d^2*e + 3*a^2*b^3*d*e^2 - a^3*b^2*e^3)*(e*x + d)^2 - 25*(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4)*(e*x + d))/((e*x + d)^(5/2)*e^5))/e","A",0
2058,1,456,0,0.580343," ","integrate((b*x+a)*(e*x+d)^(7/2)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(415701 \, {\left(e x + d\right)}^{\frac{23}{2}} b^{7} - 3187041 \, {\left(b^{7} d - a b^{6} e\right)} {\left(e x + d\right)}^{\frac{21}{2}} + 10567557 \, {\left(b^{7} d^{2} - 2 \, a b^{6} d e + a^{2} b^{5} e^{2}\right)} {\left(e x + d\right)}^{\frac{19}{2}} - 19684665 \, {\left(b^{7} d^{3} - 3 \, a b^{6} d^{2} e + 3 \, a^{2} b^{5} d e^{2} - a^{3} b^{4} e^{3}\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 22309287 \, {\left(b^{7} d^{4} - 4 \, a b^{6} d^{3} e + 6 \, a^{2} b^{5} d^{2} e^{2} - 4 \, a^{3} b^{4} d e^{3} + a^{4} b^{3} e^{4}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 15444891 \, {\left(b^{7} d^{5} - 5 \, a b^{6} d^{4} e + 10 \, a^{2} b^{5} d^{3} e^{2} - 10 \, a^{3} b^{4} d^{2} e^{3} + 5 \, a^{4} b^{3} d e^{4} - a^{5} b^{2} e^{5}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 6084351 \, {\left(b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 1062347 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{9}{2}}\right)}}{9561123 \, e^{8}}"," ",0,"2/9561123*(415701*(e*x + d)^(23/2)*b^7 - 3187041*(b^7*d - a*b^6*e)*(e*x + d)^(21/2) + 10567557*(b^7*d^2 - 2*a*b^6*d*e + a^2*b^5*e^2)*(e*x + d)^(19/2) - 19684665*(b^7*d^3 - 3*a*b^6*d^2*e + 3*a^2*b^5*d*e^2 - a^3*b^4*e^3)*(e*x + d)^(17/2) + 22309287*(b^7*d^4 - 4*a*b^6*d^3*e + 6*a^2*b^5*d^2*e^2 - 4*a^3*b^4*d*e^3 + a^4*b^3*e^4)*(e*x + d)^(15/2) - 15444891*(b^7*d^5 - 5*a*b^6*d^4*e + 10*a^2*b^5*d^3*e^2 - 10*a^3*b^4*d^2*e^3 + 5*a^4*b^3*d*e^4 - a^5*b^2*e^5)*(e*x + d)^(13/2) + 6084351*(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6)*(e*x + d)^(11/2) - 1062347*(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)*(e*x + d)^(9/2))/e^8","B",0
2059,1,456,0,0.649307," ","integrate((b*x+a)*(e*x+d)^(5/2)*(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^{7} - 1072071 \, {\left(b^{7} d - a b^{6} e\right)} {\left(e x + d\right)}^{\frac{19}{2}} + 3594591 \, {\left(b^{7} d^{2} - 2 \, a b^{6} d e + a^{2} b^{5} e^{2}\right)} {\left(e x + d\right)}^{\frac{17}{2}} - 6789783 \, {\left(b^{7} d^{3} - 3 \, a b^{6} d^{2} e + 3 \, a^{2} b^{5} d e^{2} - a^{3} b^{4} e^{3}\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 7834365 \, {\left(b^{7} d^{4} - 4 \, a b^{6} d^{3} e + 6 \, a^{2} b^{5} d^{2} e^{2} - 4 \, a^{3} b^{4} d e^{3} + a^{4} b^{3} e^{4}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 5555277 \, {\left(b^{7} d^{5} - 5 \, a b^{6} d^{4} e + 10 \, a^{2} b^{5} d^{3} e^{2} - 10 \, a^{3} b^{4} d^{2} e^{3} + 5 \, a^{4} b^{3} d e^{4} - a^{5} b^{2} e^{5}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 2263261 \, {\left(b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 415701 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{7}{2}}\right)}}{2909907 \, e^{8}}"," ",0,"2/2909907*(138567*(e*x + d)^(21/2)*b^7 - 1072071*(b^7*d - a*b^6*e)*(e*x + d)^(19/2) + 3594591*(b^7*d^2 - 2*a*b^6*d*e + a^2*b^5*e^2)*(e*x + d)^(17/2) - 6789783*(b^7*d^3 - 3*a*b^6*d^2*e + 3*a^2*b^5*d*e^2 - a^3*b^4*e^3)*(e*x + d)^(15/2) + 7834365*(b^7*d^4 - 4*a*b^6*d^3*e + 6*a^2*b^5*d^2*e^2 - 4*a^3*b^4*d*e^3 + a^4*b^3*e^4)*(e*x + d)^(13/2) - 5555277*(b^7*d^5 - 5*a*b^6*d^4*e + 10*a^2*b^5*d^3*e^2 - 10*a^3*b^4*d^2*e^3 + 5*a^4*b^3*d*e^4 - a^5*b^2*e^5)*(e*x + d)^(11/2) + 2263261*(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6)*(e*x + d)^(9/2) - 415701*(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)*(e*x + d)^(7/2))/e^8","B",0
2060,1,456,0,0.596199," ","integrate((b*x+a)*(e*x+d)^(3/2)*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(36465 \, {\left(e x + d\right)}^{\frac{19}{2}} b^{7} - 285285 \, {\left(b^{7} d - a b^{6} e\right)} {\left(e x + d\right)}^{\frac{17}{2}} + 969969 \, {\left(b^{7} d^{2} - 2 \, a b^{6} d e + a^{2} b^{5} e^{2}\right)} {\left(e x + d\right)}^{\frac{15}{2}} - 1865325 \, {\left(b^{7} d^{3} - 3 \, a b^{6} d^{2} e + 3 \, a^{2} b^{5} d e^{2} - a^{3} b^{4} e^{3}\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 2204475 \, {\left(b^{7} d^{4} - 4 \, a b^{6} d^{3} e + 6 \, a^{2} b^{5} d^{2} e^{2} - 4 \, a^{3} b^{4} d e^{3} + a^{4} b^{3} e^{4}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 1616615 \, {\left(b^{7} d^{5} - 5 \, a b^{6} d^{4} e + 10 \, a^{2} b^{5} d^{3} e^{2} - 10 \, a^{3} b^{4} d^{2} e^{3} + 5 \, a^{4} b^{3} d e^{4} - a^{5} b^{2} e^{5}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 692835 \, {\left(b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 138567 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{5}{2}}\right)}}{692835 \, e^{8}}"," ",0,"2/692835*(36465*(e*x + d)^(19/2)*b^7 - 285285*(b^7*d - a*b^6*e)*(e*x + d)^(17/2) + 969969*(b^7*d^2 - 2*a*b^6*d*e + a^2*b^5*e^2)*(e*x + d)^(15/2) - 1865325*(b^7*d^3 - 3*a*b^6*d^2*e + 3*a^2*b^5*d*e^2 - a^3*b^4*e^3)*(e*x + d)^(13/2) + 2204475*(b^7*d^4 - 4*a*b^6*d^3*e + 6*a^2*b^5*d^2*e^2 - 4*a^3*b^4*d*e^3 + a^4*b^3*e^4)*(e*x + d)^(11/2) - 1616615*(b^7*d^5 - 5*a*b^6*d^4*e + 10*a^2*b^5*d^3*e^2 - 10*a^3*b^4*d^2*e^3 + 5*a^4*b^3*d*e^4 - a^5*b^2*e^5)*(e*x + d)^(9/2) + 692835*(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6)*(e*x + d)^(7/2) - 138567*(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)*(e*x + d)^(5/2))/e^8","B",0
2061,1,456,0,0.600008," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(6435 \, {\left(e x + d\right)}^{\frac{17}{2}} b^{7} - 51051 \, {\left(b^{7} d - a b^{6} e\right)} {\left(e x + d\right)}^{\frac{15}{2}} + 176715 \, {\left(b^{7} d^{2} - 2 \, a b^{6} d e + a^{2} b^{5} e^{2}\right)} {\left(e x + d\right)}^{\frac{13}{2}} - 348075 \, {\left(b^{7} d^{3} - 3 \, a b^{6} d^{2} e + 3 \, a^{2} b^{5} d e^{2} - a^{3} b^{4} e^{3}\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 425425 \, {\left(b^{7} d^{4} - 4 \, a b^{6} d^{3} e + 6 \, a^{2} b^{5} d^{2} e^{2} - 4 \, a^{3} b^{4} d e^{3} + a^{4} b^{3} e^{4}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 328185 \, {\left(b^{7} d^{5} - 5 \, a b^{6} d^{4} e + 10 \, a^{2} b^{5} d^{3} e^{2} - 10 \, a^{3} b^{4} d^{2} e^{3} + 5 \, a^{4} b^{3} d e^{4} - a^{5} b^{2} e^{5}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 153153 \, {\left(b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 36465 \, {\left(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}\right)} {\left(e x + d\right)}^{\frac{3}{2}}\right)}}{109395 \, e^{8}}"," ",0,"2/109395*(6435*(e*x + d)^(17/2)*b^7 - 51051*(b^7*d - a*b^6*e)*(e*x + d)^(15/2) + 176715*(b^7*d^2 - 2*a*b^6*d*e + a^2*b^5*e^2)*(e*x + d)^(13/2) - 348075*(b^7*d^3 - 3*a*b^6*d^2*e + 3*a^2*b^5*d*e^2 - a^3*b^4*e^3)*(e*x + d)^(11/2) + 425425*(b^7*d^4 - 4*a*b^6*d^3*e + 6*a^2*b^5*d^2*e^2 - 4*a^3*b^4*d*e^3 + a^4*b^3*e^4)*(e*x + d)^(9/2) - 328185*(b^7*d^5 - 5*a*b^6*d^4*e + 10*a^2*b^5*d^3*e^2 - 10*a^3*b^4*d^2*e^3 + 5*a^4*b^3*d*e^4 - a^5*b^2*e^5)*(e*x + d)^(7/2) + 153153*(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6)*(e*x + d)^(5/2) - 36465*(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)*(e*x + d)^(3/2))/e^8","B",0
2062,1,456,0,0.705242," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(429 \, {\left(e x + d\right)}^{\frac{15}{2}} b^{7} - 3465 \, {\left(b^{7} d - a b^{6} e\right)} {\left(e x + d\right)}^{\frac{13}{2}} + 12285 \, {\left(b^{7} d^{2} - 2 \, a b^{6} d e + a^{2} b^{5} e^{2}\right)} {\left(e x + d\right)}^{\frac{11}{2}} - 25025 \, {\left(b^{7} d^{3} - 3 \, a b^{6} d^{2} e + 3 \, a^{2} b^{5} d e^{2} - a^{3} b^{4} e^{3}\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 32175 \, {\left(b^{7} d^{4} - 4 \, a b^{6} d^{3} e + 6 \, a^{2} b^{5} d^{2} e^{2} - 4 \, a^{3} b^{4} d e^{3} + a^{4} b^{3} e^{4}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 27027 \, {\left(b^{7} d^{5} - 5 \, a b^{6} d^{4} e + 10 \, a^{2} b^{5} d^{3} e^{2} - 10 \, a^{3} b^{4} d^{2} e^{3} + 5 \, a^{4} b^{3} d e^{4} - a^{5} b^{2} e^{5}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 15015 \, {\left(b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 6435 \, {\left(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}\right)} \sqrt{e x + d}\right)}}{6435 \, e^{8}}"," ",0,"2/6435*(429*(e*x + d)^(15/2)*b^7 - 3465*(b^7*d - a*b^6*e)*(e*x + d)^(13/2) + 12285*(b^7*d^2 - 2*a*b^6*d*e + a^2*b^5*e^2)*(e*x + d)^(11/2) - 25025*(b^7*d^3 - 3*a*b^6*d^2*e + 3*a^2*b^5*d*e^2 - a^3*b^4*e^3)*(e*x + d)^(9/2) + 32175*(b^7*d^4 - 4*a*b^6*d^3*e + 6*a^2*b^5*d^2*e^2 - 4*a^3*b^4*d*e^3 + a^4*b^3*e^4)*(e*x + d)^(7/2) - 27027*(b^7*d^5 - 5*a*b^6*d^4*e + 10*a^2*b^5*d^3*e^2 - 10*a^3*b^4*d^2*e^3 + 5*a^4*b^3*d*e^4 - a^5*b^2*e^5)*(e*x + d)^(5/2) + 15015*(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6)*(e*x + d)^(3/2) - 6435*(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)*sqrt(e*x + d))/e^8","B",0
2063,1,464,0,0.501339," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{33 \, {\left(e x + d\right)}^{\frac{13}{2}} b^{7} - 273 \, {\left(b^{7} d - a b^{6} e\right)} {\left(e x + d\right)}^{\frac{11}{2}} + 1001 \, {\left(b^{7} d^{2} - 2 \, a b^{6} d e + a^{2} b^{5} e^{2}\right)} {\left(e x + d\right)}^{\frac{9}{2}} - 2145 \, {\left(b^{7} d^{3} - 3 \, a b^{6} d^{2} e + 3 \, a^{2} b^{5} d e^{2} - a^{3} b^{4} e^{3}\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 3003 \, {\left(b^{7} d^{4} - 4 \, a b^{6} d^{3} e + 6 \, a^{2} b^{5} d^{2} e^{2} - 4 \, a^{3} b^{4} d e^{3} + a^{4} b^{3} e^{4}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 3003 \, {\left(b^{7} d^{5} - 5 \, a b^{6} d^{4} e + 10 \, a^{2} b^{5} d^{3} e^{2} - 10 \, a^{3} b^{4} d^{2} e^{3} + 5 \, a^{4} b^{3} d e^{4} - a^{5} b^{2} e^{5}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 3003 \, {\left(b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}\right)} \sqrt{e x + d}}{e^{7}} + \frac{429 \, {\left(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}\right)}}{\sqrt{e x + d} e^{7}}\right)}}{429 \, e}"," ",0,"2/429*((33*(e*x + d)^(13/2)*b^7 - 273*(b^7*d - a*b^6*e)*(e*x + d)^(11/2) + 1001*(b^7*d^2 - 2*a*b^6*d*e + a^2*b^5*e^2)*(e*x + d)^(9/2) - 2145*(b^7*d^3 - 3*a*b^6*d^2*e + 3*a^2*b^5*d*e^2 - a^3*b^4*e^3)*(e*x + d)^(7/2) + 3003*(b^7*d^4 - 4*a*b^6*d^3*e + 6*a^2*b^5*d^2*e^2 - 4*a^3*b^4*d*e^3 + a^4*b^3*e^4)*(e*x + d)^(5/2) - 3003*(b^7*d^5 - 5*a*b^6*d^4*e + 10*a^2*b^5*d^3*e^2 - 10*a^3*b^4*d^2*e^3 + 5*a^4*b^3*d*e^4 - a^5*b^2*e^5)*(e*x + d)^(3/2) + 3003*(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6)*sqrt(e*x + d))/e^7 + 429*(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)/(sqrt(e*x + d)*e^7))/e","B",0
2064,1,462,0,0.580831," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{9 \, {\left(e x + d\right)}^{\frac{11}{2}} b^{7} - 77 \, {\left(b^{7} d - a b^{6} e\right)} {\left(e x + d\right)}^{\frac{9}{2}} + 297 \, {\left(b^{7} d^{2} - 2 \, a b^{6} d e + a^{2} b^{5} e^{2}\right)} {\left(e x + d\right)}^{\frac{7}{2}} - 693 \, {\left(b^{7} d^{3} - 3 \, a b^{6} d^{2} e + 3 \, a^{2} b^{5} d e^{2} - a^{3} b^{4} e^{3}\right)} {\left(e x + d\right)}^{\frac{5}{2}} + 1155 \, {\left(b^{7} d^{4} - 4 \, a b^{6} d^{3} e + 6 \, a^{2} b^{5} d^{2} e^{2} - 4 \, a^{3} b^{4} d e^{3} + a^{4} b^{3} e^{4}\right)} {\left(e x + d\right)}^{\frac{3}{2}} - 2079 \, {\left(b^{7} d^{5} - 5 \, a b^{6} d^{4} e + 10 \, a^{2} b^{5} d^{3} e^{2} - 10 \, a^{3} b^{4} d^{2} e^{3} + 5 \, a^{4} b^{3} d e^{4} - a^{5} b^{2} e^{5}\right)} \sqrt{e x + d}}{e^{7}} + \frac{33 \, {\left(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} - 21 \, {\left(b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{7}}\right)}}{99 \, e}"," ",0,"2/99*((9*(e*x + d)^(11/2)*b^7 - 77*(b^7*d - a*b^6*e)*(e*x + d)^(9/2) + 297*(b^7*d^2 - 2*a*b^6*d*e + a^2*b^5*e^2)*(e*x + d)^(7/2) - 693*(b^7*d^3 - 3*a*b^6*d^2*e + 3*a^2*b^5*d*e^2 - a^3*b^4*e^3)*(e*x + d)^(5/2) + 1155*(b^7*d^4 - 4*a*b^6*d^3*e + 6*a^2*b^5*d^2*e^2 - 4*a^3*b^4*d*e^3 + a^4*b^3*e^4)*(e*x + d)^(3/2) - 2079*(b^7*d^5 - 5*a*b^6*d^4*e + 10*a^2*b^5*d^3*e^2 - 10*a^3*b^4*d^2*e^3 + 5*a^4*b^3*d*e^4 - a^5*b^2*e^5)*sqrt(e*x + d))/e^7 + 33*(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 - 21*(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6)*(e*x + d))/((e*x + d)^(3/2)*e^7))/e","B",0
2065,1,463,0,0.548045," ","integrate((b*x+a)*(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{9}{2}} b^{7} - 45 \, {\left(b^{7} d - a b^{6} e\right)} {\left(e x + d\right)}^{\frac{7}{2}} + 189 \, {\left(b^{7} d^{2} - 2 \, a b^{6} d e + a^{2} b^{5} e^{2}\right)} {\left(e x + d\right)}^{\frac{5}{2}} - 525 \, {\left(b^{7} d^{3} - 3 \, a b^{6} d^{2} e + 3 \, a^{2} b^{5} d e^{2} - a^{3} b^{4} e^{3}\right)} {\left(e x + d\right)}^{\frac{3}{2}} + 1575 \, {\left(b^{7} d^{4} - 4 \, a b^{6} d^{3} e + 6 \, a^{2} b^{5} d^{2} e^{2} - 4 \, a^{3} b^{4} d e^{3} + a^{4} b^{3} e^{4}\right)} \sqrt{e x + d}}{e^{7}} + \frac{3 \, {\left(3 \, b^{7} d^{7} - 21 \, a b^{6} d^{6} e + 63 \, a^{2} b^{5} d^{5} e^{2} - 105 \, a^{3} b^{4} d^{4} e^{3} + 105 \, a^{4} b^{3} d^{3} e^{4} - 63 \, a^{5} b^{2} d^{2} e^{5} + 21 \, a^{6} b d e^{6} - 3 \, a^{7} e^{7} + 315 \, {\left(b^{7} d^{5} - 5 \, a b^{6} d^{4} e + 10 \, a^{2} b^{5} d^{3} e^{2} - 10 \, a^{3} b^{4} d^{2} e^{3} + 5 \, a^{4} b^{3} d e^{4} - a^{5} b^{2} e^{5}\right)} {\left(e x + d\right)}^{2} - 35 \, {\left(b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}\right)} {\left(e x + d\right)}\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} e^{7}}\right)}}{45 \, e}"," ",0,"2/45*((5*(e*x + d)^(9/2)*b^7 - 45*(b^7*d - a*b^6*e)*(e*x + d)^(7/2) + 189*(b^7*d^2 - 2*a*b^6*d*e + a^2*b^5*e^2)*(e*x + d)^(5/2) - 525*(b^7*d^3 - 3*a*b^6*d^2*e + 3*a^2*b^5*d*e^2 - a^3*b^4*e^3)*(e*x + d)^(3/2) + 1575*(b^7*d^4 - 4*a*b^6*d^3*e + 6*a^2*b^5*d^2*e^2 - 4*a^3*b^4*d*e^3 + a^4*b^3*e^4)*sqrt(e*x + d))/e^7 + 3*(3*b^7*d^7 - 21*a*b^6*d^6*e + 63*a^2*b^5*d^5*e^2 - 105*a^3*b^4*d^4*e^3 + 105*a^4*b^3*d^3*e^4 - 63*a^5*b^2*d^2*e^5 + 21*a^6*b*d*e^6 - 3*a^7*e^7 + 315*(b^7*d^5 - 5*a*b^6*d^4*e + 10*a^2*b^5*d^3*e^2 - 10*a^3*b^4*d^2*e^3 + 5*a^4*b^3*d*e^4 - a^5*b^2*e^5)*(e*x + d)^2 - 35*(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6)*(e*x + d))/((e*x + d)^(5/2)*e^7))/e","B",0
2066,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2067,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2068,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2069,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2070,-2,0,0,0.000000," ","integrate((b*x+a)/(b^2*x^2+2*a*b*x+a^2)/(e*x+d)^(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 positive or negative?","F(-2)",0
2071,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2072,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2073,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2074,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2075,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2076,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2077,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2078,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2079,-2,0,0,0.000000," ","integrate((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^2/(e*x+d)^(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 positive or negative?","F(-2)",0
2080,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2081,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2082,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2083,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2084,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2085,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2086,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2087,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2088,-2,0,0,0.000000," ","integrate((b*x+a)*(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
2089,-2,0,0,0.000000," ","integrate((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^3/(e*x+d)^(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 positive or negative?","F(-2)",0
2090,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2091,-2,0,0,0.000000," ","integrate((b*x+a)/(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
2092,1,263,0,0.664324," ","integrate((b*x+a)*(e*x+d)^(7/2)*((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(9 \, b e^{5} x^{5} - 2 \, b d^{5} + 11 \, a d^{4} e + {\left(34 \, b d e^{4} + 11 \, a e^{5}\right)} x^{4} + 2 \, {\left(23 \, b d^{2} e^{3} + 22 \, a d e^{4}\right)} x^{3} + 6 \, {\left(4 \, b d^{3} e^{2} + 11 \, a d^{2} e^{3}\right)} x^{2} + {\left(b d^{4} e + 44 \, a d^{3} e^{2}\right)} x\right)} \sqrt{e x + d} a}{99 \, e^{2}} + \frac{2 \, {\left(99 \, b e^{6} x^{6} + 8 \, b d^{6} - 26 \, a d^{5} e + 9 \, {\left(40 \, b d e^{5} + 13 \, a e^{6}\right)} x^{5} + 2 \, {\left(229 \, b d^{2} e^{4} + 221 \, a d e^{5}\right)} x^{4} + 2 \, {\left(106 \, b d^{3} e^{3} + 299 \, a d^{2} e^{4}\right)} x^{3} + 3 \, {\left(b d^{4} e^{2} + 104 \, a d^{3} e^{3}\right)} x^{2} - {\left(4 \, b d^{5} e - 13 \, a d^{4} e^{2}\right)} x\right)} \sqrt{e x + d} b}{1287 \, e^{3}}"," ",0,"2/99*(9*b*e^5*x^5 - 2*b*d^5 + 11*a*d^4*e + (34*b*d*e^4 + 11*a*e^5)*x^4 + 2*(23*b*d^2*e^3 + 22*a*d*e^4)*x^3 + 6*(4*b*d^3*e^2 + 11*a*d^2*e^3)*x^2 + (b*d^4*e + 44*a*d^3*e^2)*x)*sqrt(e*x + d)*a/e^2 + 2/1287*(99*b*e^6*x^6 + 8*b*d^6 - 26*a*d^5*e + 9*(40*b*d*e^5 + 13*a*e^6)*x^5 + 2*(229*b*d^2*e^4 + 221*a*d*e^5)*x^4 + 2*(106*b*d^3*e^3 + 299*a*d^2*e^4)*x^3 + 3*(b*d^4*e^2 + 104*a*d^3*e^3)*x^2 - (4*b*d^5*e - 13*a*d^4*e^2)*x)*sqrt(e*x + d)*b/e^3","B",0
2093,1,214,0,0.705167," ","integrate((b*x+a)*(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} a}{63 \, e^{2}} + \frac{2 \, {\left(63 \, b e^{5} x^{5} + 8 \, b d^{5} - 22 \, a d^{4} e + 7 \, {\left(23 \, b d e^{4} + 11 \, a e^{5}\right)} x^{4} + {\left(113 \, b d^{2} e^{3} + 209 \, a d e^{4}\right)} x^{3} + 3 \, {\left(b d^{3} e^{2} + 55 \, a d^{2} e^{3}\right)} x^{2} - {\left(4 \, b d^{4} e - 11 \, a d^{3} e^{2}\right)} x\right)} \sqrt{e x + d} b}{693 \, e^{3}}"," ",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)*a/e^2 + 2/693*(63*b*e^5*x^5 + 8*b*d^5 - 22*a*d^4*e + 7*(23*b*d*e^4 + 11*a*e^5)*x^4 + (113*b*d^2*e^3 + 209*a*d*e^4)*x^3 + 3*(b*d^3*e^2 + 55*a*d^2*e^3)*x^2 - (4*b*d^4*e - 11*a*d^3*e^2)*x)*sqrt(e*x + d)*b/e^3","A",0
2094,1,167,0,0.620375," ","integrate((b*x+a)*(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} a}{35 \, e^{2}} + \frac{2 \, {\left(35 \, b e^{4} x^{4} + 8 \, b d^{4} - 18 \, a d^{3} e + 5 \, {\left(10 \, b d e^{3} + 9 \, a e^{4}\right)} x^{3} + 3 \, {\left(b d^{2} e^{2} + 24 \, a d e^{3}\right)} x^{2} - {\left(4 \, b d^{3} e - 9 \, a d^{2} e^{2}\right)} x\right)} \sqrt{e x + d} b}{315 \, e^{3}}"," ",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)*a/e^2 + 2/315*(35*b*e^4*x^4 + 8*b*d^4 - 18*a*d^3*e + 5*(10*b*d*e^3 + 9*a*e^4)*x^3 + 3*(b*d^2*e^2 + 24*a*d*e^3)*x^2 - (4*b*d^3*e - 9*a*d^2*e^2)*x)*sqrt(e*x + d)*b/e^3","A",0
2095,1,120,0,0.665270," ","integrate((b*x+a)*(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} a}{15 \, e^{2}} + \frac{2 \, {\left(15 \, b e^{3} x^{3} + 8 \, b d^{3} - 14 \, a d^{2} e + 3 \, {\left(b d e^{2} + 7 \, a e^{3}\right)} x^{2} - {\left(4 \, b d^{2} e - 7 \, a d e^{2}\right)} x\right)} \sqrt{e x + d} b}{105 \, e^{3}}"," ",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)*a/e^2 + 2/105*(15*b*e^3*x^3 + 8*b*d^3 - 14*a*d^2*e + 3*(b*d*e^2 + 7*a*e^3)*x^2 - (4*b*d^2*e - 7*a*d*e^2)*x)*sqrt(e*x + d)*b/e^3","A",0
2096,1,119,0,0.661591," ","integrate((b*x+a)*((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)} a}{3 \, \sqrt{e x + d} e^{2}} + \frac{2 \, {\left(3 \, b e^{3} x^{3} + 8 \, b d^{3} - 10 \, a d^{2} e - {\left(b d e^{2} - 5 \, a e^{3}\right)} x^{2} + {\left(4 \, b d^{2} e - 5 \, a d e^{2}\right)} x\right)} b}{15 \, \sqrt{e x + d} e^{3}}"," ",0,"2/3*(b*e^2*x^2 - 2*b*d^2 + 3*a*d*e - (b*d*e - 3*a*e^2)*x)*a/(sqrt(e*x + d)*e^2) + 2/15*(3*b*e^3*x^3 + 8*b*d^3 - 10*a*d^2*e - (b*d*e^2 - 5*a*e^3)*x^2 + (4*b*d^2*e - 5*a*d*e^2)*x)*b/(sqrt(e*x + d)*e^3)","A",0
2097,1,75,0,0.655923," ","integrate((b*x+a)*((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)} a}{\sqrt{e x + d} e^{2}} + \frac{2 \, {\left(b e^{2} x^{2} - 8 \, b d^{2} + 6 \, a d e - {\left(4 \, b d e - 3 \, a e^{2}\right)} x\right)} b}{3 \, \sqrt{e x + d} e^{3}}"," ",0,"2*(b*e*x + 2*b*d - a*e)*a/(sqrt(e*x + d)*e^2) + 2/3*(b*e^2*x^2 - 8*b*d^2 + 6*a*d*e - (4*b*d*e - 3*a*e^2)*x)*b/(sqrt(e*x + d)*e^3)","A",0
2098,1,96,0,0.813748," ","integrate((b*x+a)*((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)} a}{3 \, {\left(e^{3} x + d e^{2}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(3 \, b e^{2} x^{2} + 8 \, b d^{2} - 2 \, a d e + 3 \, {\left(4 \, b d e - a e^{2}\right)} x\right)} b}{3 \, {\left(e^{4} x + d e^{3}\right)} \sqrt{e x + d}}"," ",0,"-2/3*(3*b*e*x + 2*b*d + a*e)*a/((e^3*x + d*e^2)*sqrt(e*x + d)) + 2/3*(3*b*e^2*x^2 + 8*b*d^2 - 2*a*d*e + 3*(4*b*d*e - a*e^2)*x)*b/((e^4*x + d*e^3)*sqrt(e*x + d))","A",0
2099,1,118,0,0.612483," ","integrate((b*x+a)*((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)} a}{15 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)} \sqrt{e x + d}} - \frac{2 \, {\left(15 \, b e^{2} x^{2} + 8 \, b d^{2} + 2 \, a d e + 5 \, {\left(4 \, b d e + a e^{2}\right)} x\right)} b}{15 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)} \sqrt{e x + d}}"," ",0,"-2/15*(5*b*e*x + 2*b*d + 3*a*e)*a/((e^4*x^2 + 2*d*e^3*x + d^2*e^2)*sqrt(e*x + d)) - 2/15*(15*b*e^2*x^2 + 8*b*d^2 + 2*a*d*e + 5*(4*b*d*e + a*e^2)*x)*b/((e^5*x^2 + 2*d*e^4*x + d^2*e^3)*sqrt(e*x + d))","A",0
2100,1,592,0,0.845140," ","integrate((b*x+a)*(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} a}{3003 \, e^{4}} + \frac{2 \, {\left(3003 \, b^{3} e^{7} x^{7} + 128 \, b^{3} d^{7} - 720 \, a b^{2} d^{6} e + 1560 \, a^{2} b d^{5} e^{2} - 1430 \, a^{3} d^{4} e^{3} + 231 \, {\left(31 \, b^{3} d e^{6} + 45 \, a b^{2} e^{7}\right)} x^{6} + 63 \, {\left(71 \, b^{3} d^{2} e^{5} + 405 \, a b^{2} d e^{6} + 195 \, a^{2} b e^{7}\right)} x^{5} + 35 \, {\left(b^{3} d^{3} e^{4} + 477 \, a b^{2} d^{2} e^{5} + 897 \, a^{2} b d e^{6} + 143 \, a^{3} e^{7}\right)} x^{4} - 5 \, {\left(8 \, b^{3} d^{4} e^{3} - 45 \, a b^{2} d^{3} e^{4} - 4407 \, a^{2} b d^{2} e^{5} - 2717 \, a^{3} d e^{6}\right)} x^{3} + 3 \, {\left(16 \, b^{3} d^{5} e^{2} - 90 \, a b^{2} d^{4} e^{3} + 195 \, a^{2} b d^{3} e^{4} + 3575 \, a^{3} d^{2} e^{5}\right)} x^{2} - {\left(64 \, b^{3} d^{6} e - 360 \, a b^{2} d^{5} e^{2} + 780 \, a^{2} b d^{4} e^{3} - 715 \, a^{3} d^{3} e^{4}\right)} x\right)} \sqrt{e x + d} b}{45045 \, e^{5}}"," ",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)*a/e^4 + 2/45045*(3003*b^3*e^7*x^7 + 128*b^3*d^7 - 720*a*b^2*d^6*e + 1560*a^2*b*d^5*e^2 - 1430*a^3*d^4*e^3 + 231*(31*b^3*d*e^6 + 45*a*b^2*e^7)*x^6 + 63*(71*b^3*d^2*e^5 + 405*a*b^2*d*e^6 + 195*a^2*b*e^7)*x^5 + 35*(b^3*d^3*e^4 + 477*a*b^2*d^2*e^5 + 897*a^2*b*d*e^6 + 143*a^3*e^7)*x^4 - 5*(8*b^3*d^4*e^3 - 45*a*b^2*d^3*e^4 - 4407*a^2*b*d^2*e^5 - 2717*a^3*d*e^6)*x^3 + 3*(16*b^3*d^5*e^2 - 90*a*b^2*d^4*e^3 + 195*a^2*b*d^3*e^4 + 3575*a^3*d^2*e^5)*x^2 - (64*b^3*d^6*e - 360*a*b^2*d^5*e^2 + 780*a^2*b*d^4*e^3 - 715*a^3*d^3*e^4)*x)*sqrt(e*x + d)*b/e^5","B",0
2101,1,488,0,0.702914," ","integrate((b*x+a)*(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} a}{1155 \, e^{4}} + \frac{2 \, {\left(1155 \, b^{3} e^{6} x^{6} + 128 \, b^{3} d^{6} - 624 \, a b^{2} d^{5} e + 1144 \, a^{2} b d^{4} e^{2} - 858 \, a^{3} d^{3} e^{3} + 105 \, {\left(14 \, b^{3} d e^{5} + 39 \, a b^{2} e^{6}\right)} x^{5} + 35 \, {\left(b^{3} d^{2} e^{4} + 156 \, a b^{2} d e^{5} + 143 \, a^{2} b e^{6}\right)} x^{4} - 5 \, {\left(8 \, b^{3} d^{3} e^{3} - 39 \, a b^{2} d^{2} e^{4} - 1430 \, a^{2} b d e^{5} - 429 \, a^{3} e^{6}\right)} x^{3} + 3 \, {\left(16 \, b^{3} d^{4} e^{2} - 78 \, a b^{2} d^{3} e^{3} + 143 \, a^{2} b d^{2} e^{4} + 1144 \, a^{3} d e^{5}\right)} x^{2} - {\left(64 \, b^{3} d^{5} e - 312 \, a b^{2} d^{4} e^{2} + 572 \, a^{2} b d^{3} e^{3} - 429 \, a^{3} d^{2} e^{4}\right)} x\right)} \sqrt{e x + d} b}{15015 \, e^{5}}"," ",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)*a/e^4 + 2/15015*(1155*b^3*e^6*x^6 + 128*b^3*d^6 - 624*a*b^2*d^5*e + 1144*a^2*b*d^4*e^2 - 858*a^3*d^3*e^3 + 105*(14*b^3*d*e^5 + 39*a*b^2*e^6)*x^5 + 35*(b^3*d^2*e^4 + 156*a*b^2*d*e^5 + 143*a^2*b*e^6)*x^4 - 5*(8*b^3*d^3*e^3 - 39*a*b^2*d^2*e^4 - 1430*a^2*b*d*e^5 - 429*a^3*e^6)*x^3 + 3*(16*b^3*d^4*e^2 - 78*a*b^2*d^3*e^3 + 143*a^2*b*d^2*e^4 + 1144*a^3*d*e^5)*x^2 - (64*b^3*d^5*e - 312*a*b^2*d^4*e^2 + 572*a^2*b*d^3*e^3 - 429*a^3*d^2*e^4)*x)*sqrt(e*x + d)*b/e^5","B",0
2102,1,384,0,0.646534," ","integrate((b*x+a)*(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} a}{315 \, e^{4}} + \frac{2 \, {\left(315 \, b^{3} e^{5} x^{5} + 128 \, b^{3} d^{5} - 528 \, a b^{2} d^{4} e + 792 \, a^{2} b d^{3} e^{2} - 462 \, a^{3} d^{2} e^{3} + 35 \, {\left(b^{3} d e^{4} + 33 \, a b^{2} e^{5}\right)} x^{4} - 5 \, {\left(8 \, b^{3} d^{2} e^{3} - 33 \, a b^{2} d e^{4} - 297 \, a^{2} b e^{5}\right)} x^{3} + 3 \, {\left(16 \, b^{3} d^{3} e^{2} - 66 \, a b^{2} d^{2} e^{3} + 99 \, a^{2} b d e^{4} + 231 \, a^{3} e^{5}\right)} x^{2} - {\left(64 \, b^{3} d^{4} e - 264 \, a b^{2} d^{3} e^{2} + 396 \, a^{2} b d^{2} e^{3} - 231 \, a^{3} d e^{4}\right)} x\right)} \sqrt{e x + d} b}{3465 \, e^{5}}"," ",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)*a/e^4 + 2/3465*(315*b^3*e^5*x^5 + 128*b^3*d^5 - 528*a*b^2*d^4*e + 792*a^2*b*d^3*e^2 - 462*a^3*d^2*e^3 + 35*(b^3*d*e^4 + 33*a*b^2*e^5)*x^4 - 5*(8*b^3*d^2*e^3 - 33*a*b^2*d*e^4 - 297*a^2*b*e^5)*x^3 + 3*(16*b^3*d^3*e^2 - 66*a*b^2*d^2*e^3 + 99*a^2*b*d*e^4 + 231*a^3*e^5)*x^2 - (64*b^3*d^4*e - 264*a*b^2*d^3*e^2 + 396*a^2*b*d^2*e^3 - 231*a^3*d*e^4)*x)*sqrt(e*x + d)*b/e^5","B",0
2103,1,382,0,0.632864," ","integrate((b*x+a)*(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)} a}{35 \, \sqrt{e x + d} e^{4}} + \frac{2 \, {\left(35 \, b^{3} e^{5} x^{5} + 128 \, b^{3} d^{5} - 432 \, a b^{2} d^{4} e + 504 \, a^{2} b d^{3} e^{2} - 210 \, a^{3} d^{2} e^{3} - 5 \, {\left(b^{3} d e^{4} - 27 \, a b^{2} e^{5}\right)} x^{4} + {\left(8 \, b^{3} d^{2} e^{3} - 27 \, a b^{2} d e^{4} + 189 \, a^{2} b e^{5}\right)} x^{3} - {\left(16 \, b^{3} d^{3} e^{2} - 54 \, a b^{2} d^{2} e^{3} + 63 \, a^{2} b d e^{4} - 105 \, a^{3} e^{5}\right)} x^{2} + {\left(64 \, b^{3} d^{4} e - 216 \, a b^{2} d^{3} e^{2} + 252 \, a^{2} b d^{2} e^{3} - 105 \, a^{3} d e^{4}\right)} x\right)} b}{315 \, \sqrt{e x + d} e^{5}}"," ",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)*a/(sqrt(e*x + d)*e^4) + 2/315*(35*b^3*e^5*x^5 + 128*b^3*d^5 - 432*a*b^2*d^4*e + 504*a^2*b*d^3*e^2 - 210*a^3*d^2*e^3 - 5*(b^3*d*e^4 - 27*a*b^2*e^5)*x^4 + (8*b^3*d^2*e^3 - 27*a*b^2*d*e^4 + 189*a^2*b*e^5)*x^3 - (16*b^3*d^3*e^2 - 54*a*b^2*d^2*e^3 + 63*a^2*b*d*e^4 - 105*a^3*e^5)*x^2 + (64*b^3*d^4*e - 216*a*b^2*d^3*e^2 + 252*a^2*b*d^2*e^3 - 105*a^3*d*e^4)*x)*b/(sqrt(e*x + d)*e^5)","B",0
2104,1,282,0,0.807631," ","integrate((b*x+a)*(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)} a}{5 \, \sqrt{e x + d} e^{4}} + \frac{2 \, {\left(5 \, b^{3} e^{4} x^{4} - 128 \, b^{3} d^{4} + 336 \, a b^{2} d^{3} e - 280 \, a^{2} b d^{2} e^{2} + 70 \, a^{3} d e^{3} - {\left(8 \, b^{3} d e^{3} - 21 \, a b^{2} e^{4}\right)} x^{3} + {\left(16 \, b^{3} d^{2} e^{2} - 42 \, a b^{2} d e^{3} + 35 \, a^{2} b e^{4}\right)} x^{2} - {\left(64 \, b^{3} d^{3} e - 168 \, a b^{2} d^{2} e^{2} + 140 \, a^{2} b d e^{3} - 35 \, a^{3} e^{4}\right)} x\right)} b}{35 \, \sqrt{e x + d} e^{5}}"," ",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)*a/(sqrt(e*x + d)*e^4) + 2/35*(5*b^3*e^4*x^4 - 128*b^3*d^4 + 336*a*b^2*d^3*e - 280*a^2*b*d^2*e^2 + 70*a^3*d*e^3 - (8*b^3*d*e^3 - 21*a*b^2*e^4)*x^3 + (16*b^3*d^2*e^2 - 42*a*b^2*d*e^3 + 35*a^2*b*e^4)*x^2 - (64*b^3*d^3*e - 168*a*b^2*d^2*e^2 + 140*a^2*b*d*e^3 - 35*a^3*e^4)*x)*b/(sqrt(e*x + d)*e^5)","A",0
2105,1,304,0,0.729414," ","integrate((b*x+a)*(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)} a}{3 \, {\left(e^{5} x + d e^{4}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(3 \, b^{3} e^{4} x^{4} + 128 \, b^{3} d^{4} - 240 \, a b^{2} d^{3} e + 120 \, a^{2} b d^{2} e^{2} - 10 \, a^{3} d e^{3} - {\left(8 \, b^{3} d e^{3} - 15 \, a b^{2} e^{4}\right)} x^{3} + 3 \, {\left(16 \, b^{3} d^{2} e^{2} - 30 \, a b^{2} d e^{3} + 15 \, a^{2} b e^{4}\right)} x^{2} + 3 \, {\left(64 \, b^{3} d^{3} e - 120 \, a b^{2} d^{2} e^{2} + 60 \, a^{2} b d e^{3} - 5 \, a^{3} e^{4}\right)} x\right)} b}{15 \, {\left(e^{6} x + d e^{5}\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)*a/((e^5*x + d*e^4)*sqrt(e*x + d)) + 2/15*(3*b^3*e^4*x^4 + 128*b^3*d^4 - 240*a*b^2*d^3*e + 120*a^2*b*d^2*e^2 - 10*a^3*d*e^3 - (8*b^3*d*e^3 - 15*a*b^2*e^4)*x^3 + 3*(16*b^3*d^2*e^2 - 30*a*b^2*d*e^3 + 15*a^2*b*e^4)*x^2 + 3*(64*b^3*d^3*e - 120*a*b^2*d^2*e^2 + 60*a^2*b*d*e^3 - 5*a^3*e^4)*x)*b/((e^6*x + d*e^5)*sqrt(e*x + d))","A",0
2106,1,326,0,0.685031," ","integrate((b*x+a)*(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)} a}{5 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(5 \, b^{3} e^{4} x^{4} - 128 \, b^{3} d^{4} + 144 \, a b^{2} d^{3} e - 24 \, a^{2} b d^{2} e^{2} - 2 \, a^{3} d e^{3} - 5 \, {\left(8 \, b^{3} d e^{3} - 9 \, a b^{2} e^{4}\right)} x^{3} - 15 \, {\left(16 \, b^{3} d^{2} e^{2} - 18 \, a b^{2} d e^{3} + 3 \, a^{2} b e^{4}\right)} x^{2} - 5 \, {\left(64 \, b^{3} d^{3} e - 72 \, a b^{2} d^{2} e^{2} + 12 \, a^{2} b d e^{3} + a^{3} e^{4}\right)} x\right)} b}{15 \, {\left(e^{7} x^{2} + 2 \, d e^{6} x + d^{2} e^{5}\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)*a/((e^6*x^2 + 2*d*e^5*x + d^2*e^4)*sqrt(e*x + d)) + 2/15*(5*b^3*e^4*x^4 - 128*b^3*d^4 + 144*a*b^2*d^3*e - 24*a^2*b*d^2*e^2 - 2*a^3*d*e^3 - 5*(8*b^3*d*e^3 - 9*a*b^2*e^4)*x^3 - 15*(16*b^3*d^2*e^2 - 18*a*b^2*d*e^3 + 3*a^2*b*e^4)*x^2 - 5*(64*b^3*d^3*e - 72*a*b^2*d^2*e^2 + 12*a^2*b*d*e^3 + a^3*e^4)*x)*b/((e^7*x^2 + 2*d*e^6*x + d^2*e^5)*sqrt(e*x + d))","A",0
2107,1,348,0,0.726959," ","integrate((b*x+a)*(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)} a}{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}} + \frac{2 \, {\left(35 \, b^{3} e^{4} x^{4} + 128 \, b^{3} d^{4} - 48 \, a b^{2} d^{3} e - 8 \, a^{2} b d^{2} e^{2} - 2 \, a^{3} d e^{3} + 35 \, {\left(8 \, b^{3} d e^{3} - 3 \, a b^{2} e^{4}\right)} x^{3} + 35 \, {\left(16 \, b^{3} d^{2} e^{2} - 6 \, a b^{2} d e^{3} - a^{2} b e^{4}\right)} x^{2} + 7 \, {\left(64 \, b^{3} d^{3} e - 24 \, a b^{2} d^{2} e^{2} - 4 \, a^{2} b d e^{3} - a^{3} e^{4}\right)} x\right)} b}{35 \, {\left(e^{8} x^{3} + 3 \, d e^{7} x^{2} + 3 \, d^{2} e^{6} x + d^{3} e^{5}\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)*a/((e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4)*sqrt(e*x + d)) + 2/35*(35*b^3*e^4*x^4 + 128*b^3*d^4 - 48*a*b^2*d^3*e - 8*a^2*b*d^2*e^2 - 2*a^3*d*e^3 + 35*(8*b^3*d*e^3 - 3*a*b^2*e^4)*x^3 + 35*(16*b^3*d^2*e^2 - 6*a*b^2*d*e^3 - a^2*b*e^4)*x^2 + 7*(64*b^3*d^3*e - 24*a*b^2*d^2*e^2 - 4*a^2*b*d*e^3 - a^3*e^4)*x)*b/((e^8*x^3 + 3*d*e^7*x^2 + 3*d^2*e^6*x + d^3*e^5)*sqrt(e*x + d))","A",0
2108,1,371,0,0.778528," ","integrate((b*x+a)*(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)} a}{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}} - \frac{2 \, {\left(315 \, b^{3} e^{4} x^{4} + 128 \, b^{3} d^{4} + 48 \, a b^{2} d^{3} e + 24 \, a^{2} b d^{2} e^{2} + 10 \, a^{3} d e^{3} + 105 \, {\left(8 \, b^{3} d e^{3} + 3 \, a b^{2} e^{4}\right)} x^{3} + 63 \, {\left(16 \, b^{3} d^{2} e^{2} + 6 \, a b^{2} d e^{3} + 3 \, a^{2} b e^{4}\right)} x^{2} + 9 \, {\left(64 \, b^{3} d^{3} e + 24 \, a b^{2} d^{2} e^{2} + 12 \, a^{2} b d e^{3} + 5 \, a^{3} e^{4}\right)} x\right)} b}{315 \, {\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)} \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)*a/((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)) - 2/315*(315*b^3*e^4*x^4 + 128*b^3*d^4 + 48*a*b^2*d^3*e + 24*a^2*b*d^2*e^2 + 10*a^3*d*e^3 + 105*(8*b^3*d*e^3 + 3*a*b^2*e^4)*x^3 + 63*(16*b^3*d^2*e^2 + 6*a*b^2*d*e^3 + 3*a^2*b*e^4)*x^2 + 9*(64*b^3*d^3*e + 24*a*b^2*d^2*e^2 + 12*a^2*b*d*e^3 + 5*a^3*e^4)*x)*b/((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)*sqrt(e*x + d))","A",0
2109,1,393,0,0.765047," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(13/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(231 \, b^{3} e^{3} x^{3} + 16 \, b^{3} d^{3} + 40 \, a b^{2} d^{2} e + 70 \, a^{2} b d e^{2} + 105 \, a^{3} e^{3} + 99 \, {\left(2 \, b^{3} d e^{2} + 5 \, a b^{2} e^{3}\right)} x^{2} + 11 \, {\left(8 \, b^{3} d^{2} e + 20 \, a b^{2} d e^{2} + 35 \, a^{2} b e^{3}\right)} x\right)} a}{1155 \, {\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)} \sqrt{e x + d}} - \frac{2 \, {\left(1155 \, b^{3} e^{4} x^{4} + 128 \, b^{3} d^{4} + 144 \, a b^{2} d^{3} e + 120 \, a^{2} b d^{2} e^{2} + 70 \, a^{3} d e^{3} + 231 \, {\left(8 \, b^{3} d e^{3} + 9 \, a b^{2} e^{4}\right)} x^{3} + 99 \, {\left(16 \, b^{3} d^{2} e^{2} + 18 \, a b^{2} d e^{3} + 15 \, a^{2} b e^{4}\right)} x^{2} + 11 \, {\left(64 \, b^{3} d^{3} e + 72 \, a b^{2} d^{2} e^{2} + 60 \, a^{2} b d e^{3} + 35 \, a^{3} e^{4}\right)} x\right)} b}{3465 \, {\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)} \sqrt{e x + d}}"," ",0,"-2/1155*(231*b^3*e^3*x^3 + 16*b^3*d^3 + 40*a*b^2*d^2*e + 70*a^2*b*d*e^2 + 105*a^3*e^3 + 99*(2*b^3*d*e^2 + 5*a*b^2*e^3)*x^2 + 11*(8*b^3*d^2*e + 20*a*b^2*d*e^2 + 35*a^2*b*e^3)*x)*a/((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)*sqrt(e*x + d)) - 2/3465*(1155*b^3*e^4*x^4 + 128*b^3*d^4 + 144*a*b^2*d^3*e + 120*a^2*b*d^2*e^2 + 70*a^3*d*e^3 + 231*(8*b^3*d*e^3 + 9*a*b^2*e^4)*x^3 + 99*(16*b^3*d^2*e^2 + 18*a*b^2*d*e^3 + 15*a^2*b*e^4)*x^2 + 11*(64*b^3*d^3*e + 72*a*b^2*d^2*e^2 + 60*a^2*b*d*e^3 + 35*a^3*e^4)*x)*b/((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)*sqrt(e*x + d))","B",0
2110,1,1080,0,0.784664," ","integrate((b*x+a)*(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} a}{153153 \, e^{6}} + \frac{2 \, {\left(153153 \, b^{5} e^{9} x^{9} + 3072 \, b^{5} d^{9} - 24320 \, a b^{4} d^{8} e + 82688 \, a^{2} b^{3} d^{7} e^{2} - 155040 \, a^{3} b^{2} d^{6} e^{3} + 167960 \, a^{4} b d^{5} e^{4} - 92378 \, a^{5} d^{4} e^{5} + 9009 \, {\left(39 \, b^{5} d e^{8} + 95 \, a b^{4} e^{9}\right)} x^{8} + 3003 \, {\left(69 \, b^{5} d^{2} e^{7} + 665 \, a b^{4} d e^{8} + 646 \, a^{2} b^{3} e^{9}\right)} x^{7} + 231 \, {\left(3 \, b^{5} d^{3} e^{6} + 5225 \, a b^{4} d^{2} e^{7} + 20026 \, a^{2} b^{3} d e^{8} + 9690 \, a^{3} b^{2} e^{9}\right)} x^{6} - 63 \, {\left(12 \, b^{5} d^{4} e^{5} - 95 \, a b^{4} d^{3} e^{6} - 45866 \, a^{2} b^{3} d^{2} e^{7} - 87210 \, a^{3} b^{2} d e^{8} - 20995 \, a^{4} b e^{9}\right)} x^{5} + 7 \, {\left(120 \, b^{5} d^{5} e^{4} - 950 \, a b^{4} d^{4} e^{5} + 3230 \, a^{2} b^{3} d^{3} e^{6} + 513570 \, a^{3} b^{2} d^{2} e^{7} + 482885 \, a^{4} b d e^{8} + 46189 \, a^{5} e^{9}\right)} x^{4} - {\left(960 \, b^{5} d^{6} e^{3} - 7600 \, a b^{4} d^{5} e^{4} + 25840 \, a^{2} b^{3} d^{4} e^{5} - 48450 \, a^{3} b^{2} d^{3} e^{6} - 2372435 \, a^{4} b d^{2} e^{7} - 877591 \, a^{5} d e^{8}\right)} x^{3} + 3 \, {\left(384 \, b^{5} d^{7} e^{2} - 3040 \, a b^{4} d^{6} e^{3} + 10336 \, a^{2} b^{3} d^{5} e^{4} - 19380 \, a^{3} b^{2} d^{4} e^{5} + 20995 \, a^{4} b d^{3} e^{6} + 230945 \, a^{5} d^{2} e^{7}\right)} x^{2} - {\left(1536 \, b^{5} d^{8} e - 12160 \, a b^{4} d^{7} e^{2} + 41344 \, a^{2} b^{3} d^{6} e^{3} - 77520 \, a^{3} b^{2} d^{5} e^{4} + 83980 \, a^{4} b d^{4} e^{5} - 46189 \, a^{5} d^{3} e^{6}\right)} x\right)} \sqrt{e x + d} b}{2909907 \, e^{7}}"," ",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)*a/e^6 + 2/2909907*(153153*b^5*e^9*x^9 + 3072*b^5*d^9 - 24320*a*b^4*d^8*e + 82688*a^2*b^3*d^7*e^2 - 155040*a^3*b^2*d^6*e^3 + 167960*a^4*b*d^5*e^4 - 92378*a^5*d^4*e^5 + 9009*(39*b^5*d*e^8 + 95*a*b^4*e^9)*x^8 + 3003*(69*b^5*d^2*e^7 + 665*a*b^4*d*e^8 + 646*a^2*b^3*e^9)*x^7 + 231*(3*b^5*d^3*e^6 + 5225*a*b^4*d^2*e^7 + 20026*a^2*b^3*d*e^8 + 9690*a^3*b^2*e^9)*x^6 - 63*(12*b^5*d^4*e^5 - 95*a*b^4*d^3*e^6 - 45866*a^2*b^3*d^2*e^7 - 87210*a^3*b^2*d*e^8 - 20995*a^4*b*e^9)*x^5 + 7*(120*b^5*d^5*e^4 - 950*a*b^4*d^4*e^5 + 3230*a^2*b^3*d^3*e^6 + 513570*a^3*b^2*d^2*e^7 + 482885*a^4*b*d*e^8 + 46189*a^5*e^9)*x^4 - (960*b^5*d^6*e^3 - 7600*a*b^4*d^5*e^4 + 25840*a^2*b^3*d^4*e^5 - 48450*a^3*b^2*d^3*e^6 - 2372435*a^4*b*d^2*e^7 - 877591*a^5*d*e^8)*x^3 + 3*(384*b^5*d^7*e^2 - 3040*a*b^4*d^6*e^3 + 10336*a^2*b^3*d^5*e^4 - 19380*a^3*b^2*d^4*e^5 + 20995*a^4*b*d^3*e^6 + 230945*a^5*d^2*e^7)*x^2 - (1536*b^5*d^8*e - 12160*a*b^4*d^7*e^2 + 41344*a^2*b^3*d^6*e^3 - 77520*a^3*b^2*d^5*e^4 + 83980*a^4*b*d^4*e^5 - 46189*a^5*d^3*e^6)*x)*sqrt(e*x + d)*b/e^7","B",0
2111,1,921,0,0.818258," ","integrate((b*x+a)*(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} a}{45045 \, e^{6}} + \frac{2 \, {\left(45045 \, b^{5} e^{8} x^{8} + 3072 \, b^{5} d^{8} - 21760 \, a b^{4} d^{7} e + 65280 \, a^{2} b^{3} d^{6} e^{2} - 106080 \, a^{3} b^{2} d^{5} e^{3} + 97240 \, a^{4} b d^{4} e^{4} - 43758 \, a^{5} d^{3} e^{5} + 3003 \, {\left(18 \, b^{5} d e^{7} + 85 \, a b^{4} e^{8}\right)} x^{7} + 231 \, {\left(3 \, b^{5} d^{2} e^{6} + 1360 \, a b^{4} d e^{7} + 2550 \, a^{2} b^{3} e^{8}\right)} x^{6} - 63 \, {\left(12 \, b^{5} d^{3} e^{5} - 85 \, a b^{4} d^{2} e^{6} - 11900 \, a^{2} b^{3} d e^{7} - 11050 \, a^{3} b^{2} e^{8}\right)} x^{5} + 35 \, {\left(24 \, b^{5} d^{4} e^{4} - 170 \, a b^{4} d^{3} e^{5} + 510 \, a^{2} b^{3} d^{2} e^{6} + 26520 \, a^{3} b^{2} d e^{7} + 12155 \, a^{4} b e^{8}\right)} x^{4} - 5 \, {\left(192 \, b^{5} d^{5} e^{3} - 1360 \, a b^{4} d^{4} e^{4} + 4080 \, a^{2} b^{3} d^{3} e^{5} - 6630 \, a^{3} b^{2} d^{2} e^{6} - 121550 \, a^{4} b d e^{7} - 21879 \, a^{5} e^{8}\right)} x^{3} + 3 \, {\left(384 \, b^{5} d^{6} e^{2} - 2720 \, a b^{4} d^{5} e^{3} + 8160 \, a^{2} b^{3} d^{4} e^{4} - 13260 \, a^{3} b^{2} d^{3} e^{5} + 12155 \, a^{4} b d^{2} e^{6} + 58344 \, a^{5} d e^{7}\right)} x^{2} - {\left(1536 \, b^{5} d^{7} e - 10880 \, a b^{4} d^{6} e^{2} + 32640 \, a^{2} b^{3} d^{5} e^{3} - 53040 \, a^{3} b^{2} d^{4} e^{4} + 48620 \, a^{4} b d^{3} e^{5} - 21879 \, a^{5} d^{2} e^{6}\right)} x\right)} \sqrt{e x + d} b}{765765 \, e^{7}}"," ",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)*a/e^6 + 2/765765*(45045*b^5*e^8*x^8 + 3072*b^5*d^8 - 21760*a*b^4*d^7*e + 65280*a^2*b^3*d^6*e^2 - 106080*a^3*b^2*d^5*e^3 + 97240*a^4*b*d^4*e^4 - 43758*a^5*d^3*e^5 + 3003*(18*b^5*d*e^7 + 85*a*b^4*e^8)*x^7 + 231*(3*b^5*d^2*e^6 + 1360*a*b^4*d*e^7 + 2550*a^2*b^3*e^8)*x^6 - 63*(12*b^5*d^3*e^5 - 85*a*b^4*d^2*e^6 - 11900*a^2*b^3*d*e^7 - 11050*a^3*b^2*e^8)*x^5 + 35*(24*b^5*d^4*e^4 - 170*a*b^4*d^3*e^5 + 510*a^2*b^3*d^2*e^6 + 26520*a^3*b^2*d*e^7 + 12155*a^4*b*e^8)*x^4 - 5*(192*b^5*d^5*e^3 - 1360*a*b^4*d^4*e^4 + 4080*a^2*b^3*d^3*e^5 - 6630*a^3*b^2*d^2*e^6 - 121550*a^4*b*d*e^7 - 21879*a^5*e^8)*x^3 + 3*(384*b^5*d^6*e^2 - 2720*a*b^4*d^5*e^3 + 8160*a^2*b^3*d^4*e^4 - 13260*a^3*b^2*d^3*e^5 + 12155*a^4*b*d^2*e^6 + 58344*a^5*d*e^7)*x^2 - (1536*b^5*d^7*e - 10880*a*b^4*d^6*e^2 + 32640*a^2*b^3*d^5*e^3 - 53040*a^3*b^2*d^4*e^4 + 48620*a^4*b*d^3*e^5 - 21879*a^5*d^2*e^6)*x)*sqrt(e*x + d)*b/e^7","B",0
2112,1,760,0,0.954713," ","integrate((b*x+a)*(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} a}{9009 \, e^{6}} + \frac{2 \, {\left(3003 \, b^{5} e^{7} x^{7} + 1024 \, b^{5} d^{7} - 6400 \, a b^{4} d^{6} e + 16640 \, a^{2} b^{3} d^{5} e^{2} - 22880 \, a^{3} b^{2} d^{4} e^{3} + 17160 \, a^{4} b d^{3} e^{4} - 6006 \, a^{5} d^{2} e^{5} + 231 \, {\left(b^{5} d e^{6} + 75 \, a b^{4} e^{7}\right)} x^{6} - 63 \, {\left(4 \, b^{5} d^{2} e^{5} - 25 \, a b^{4} d e^{6} - 650 \, a^{2} b^{3} e^{7}\right)} x^{5} + 70 \, {\left(4 \, b^{5} d^{3} e^{4} - 25 \, a b^{4} d^{2} e^{5} + 65 \, a^{2} b^{3} d e^{6} + 715 \, a^{3} b^{2} e^{7}\right)} x^{4} - 5 \, {\left(64 \, b^{5} d^{4} e^{3} - 400 \, a b^{4} d^{3} e^{4} + 1040 \, a^{2} b^{3} d^{2} e^{5} - 1430 \, a^{3} b^{2} d e^{6} - 6435 \, a^{4} b e^{7}\right)} x^{3} + 3 \, {\left(128 \, b^{5} d^{5} e^{2} - 800 \, a b^{4} d^{4} e^{3} + 2080 \, a^{2} b^{3} d^{3} e^{4} - 2860 \, a^{3} b^{2} d^{2} e^{5} + 2145 \, a^{4} b d e^{6} + 3003 \, a^{5} e^{7}\right)} x^{2} - {\left(512 \, b^{5} d^{6} e - 3200 \, a b^{4} d^{5} e^{2} + 8320 \, a^{2} b^{3} d^{4} e^{3} - 11440 \, a^{3} b^{2} d^{3} e^{4} + 8580 \, a^{4} b d^{2} e^{5} - 3003 \, a^{5} d e^{6}\right)} x\right)} \sqrt{e x + d} b}{45045 \, e^{7}}"," ",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)*a/e^6 + 2/45045*(3003*b^5*e^7*x^7 + 1024*b^5*d^7 - 6400*a*b^4*d^6*e + 16640*a^2*b^3*d^5*e^2 - 22880*a^3*b^2*d^4*e^3 + 17160*a^4*b*d^3*e^4 - 6006*a^5*d^2*e^5 + 231*(b^5*d*e^6 + 75*a*b^4*e^7)*x^6 - 63*(4*b^5*d^2*e^5 - 25*a*b^4*d*e^6 - 650*a^2*b^3*e^7)*x^5 + 70*(4*b^5*d^3*e^4 - 25*a*b^4*d^2*e^5 + 65*a^2*b^3*d*e^6 + 715*a^3*b^2*e^7)*x^4 - 5*(64*b^5*d^4*e^3 - 400*a*b^4*d^3*e^4 + 1040*a^2*b^3*d^2*e^5 - 1430*a^3*b^2*d*e^6 - 6435*a^4*b*e^7)*x^3 + 3*(128*b^5*d^5*e^2 - 800*a*b^4*d^4*e^3 + 2080*a^2*b^3*d^3*e^4 - 2860*a^3*b^2*d^2*e^5 + 2145*a^4*b*d*e^6 + 3003*a^5*e^7)*x^2 - (512*b^5*d^6*e - 3200*a*b^4*d^5*e^2 + 8320*a^2*b^3*d^4*e^3 - 11440*a^3*b^2*d^3*e^4 + 8580*a^4*b*d^2*e^5 - 3003*a^5*d*e^6)*x)*sqrt(e*x + d)*b/e^7","B",0
2113,1,758,0,0.703009," ","integrate((b*x+a)*(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)} a}{693 \, \sqrt{e x + d} e^{6}} + \frac{2 \, {\left(693 \, b^{5} e^{7} x^{7} + 3072 \, b^{5} d^{7} - 16640 \, a b^{4} d^{6} e + 36608 \, a^{2} b^{3} d^{5} e^{2} - 41184 \, a^{3} b^{2} d^{4} e^{3} + 24024 \, a^{4} b d^{3} e^{4} - 6006 \, a^{5} d^{2} e^{5} - 63 \, {\left(b^{5} d e^{6} - 65 \, a b^{4} e^{7}\right)} x^{6} + 7 \, {\left(12 \, b^{5} d^{2} e^{5} - 65 \, a b^{4} d e^{6} + 1430 \, a^{2} b^{3} e^{7}\right)} x^{5} - 10 \, {\left(12 \, b^{5} d^{3} e^{4} - 65 \, a b^{4} d^{2} e^{5} + 143 \, a^{2} b^{3} d e^{6} - 1287 \, a^{3} b^{2} e^{7}\right)} x^{4} + {\left(192 \, b^{5} d^{4} e^{3} - 1040 \, a b^{4} d^{3} e^{4} + 2288 \, a^{2} b^{3} d^{2} e^{5} - 2574 \, a^{3} b^{2} d e^{6} + 9009 \, a^{4} b e^{7}\right)} x^{3} - {\left(384 \, b^{5} d^{5} e^{2} - 2080 \, a b^{4} d^{4} e^{3} + 4576 \, a^{2} b^{3} d^{3} e^{4} - 5148 \, a^{3} b^{2} d^{2} e^{5} + 3003 \, a^{4} b d e^{6} - 3003 \, a^{5} e^{7}\right)} x^{2} + {\left(1536 \, b^{5} d^{6} e - 8320 \, a b^{4} d^{5} e^{2} + 18304 \, a^{2} b^{3} d^{4} e^{3} - 20592 \, a^{3} b^{2} d^{3} e^{4} + 12012 \, a^{4} b d^{2} e^{5} - 3003 \, a^{5} d e^{6}\right)} x\right)} b}{9009 \, \sqrt{e x + d} e^{7}}"," ",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)*a/(sqrt(e*x + d)*e^6) + 2/9009*(693*b^5*e^7*x^7 + 3072*b^5*d^7 - 16640*a*b^4*d^6*e + 36608*a^2*b^3*d^5*e^2 - 41184*a^3*b^2*d^4*e^3 + 24024*a^4*b*d^3*e^4 - 6006*a^5*d^2*e^5 - 63*(b^5*d*e^6 - 65*a*b^4*e^7)*x^6 + 7*(12*b^5*d^2*e^5 - 65*a*b^4*d*e^6 + 1430*a^2*b^3*e^7)*x^5 - 10*(12*b^5*d^3*e^4 - 65*a*b^4*d^2*e^5 + 143*a^2*b^3*d*e^6 - 1287*a^3*b^2*e^7)*x^4 + (192*b^5*d^4*e^3 - 1040*a*b^4*d^3*e^4 + 2288*a^2*b^3*d^2*e^5 - 2574*a^3*b^2*d*e^6 + 9009*a^4*b*e^7)*x^3 - (384*b^5*d^5*e^2 - 2080*a*b^4*d^4*e^3 + 4576*a^2*b^3*d^3*e^4 - 5148*a^3*b^2*d^2*e^5 + 3003*a^4*b*d*e^6 - 3003*a^5*e^7)*x^2 + (1536*b^5*d^6*e - 8320*a*b^4*d^5*e^2 + 18304*a^2*b^3*d^4*e^3 - 20592*a^3*b^2*d^3*e^4 + 12012*a^4*b*d^2*e^5 - 3003*a^5*d*e^6)*x)*b/(sqrt(e*x + d)*e^7)","B",0
2114,1,603,0,0.634071," ","integrate((b*x+a)*(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)} a}{63 \, \sqrt{e x + d} e^{6}} + \frac{2 \, {\left(63 \, b^{5} e^{6} x^{6} - 3072 \, b^{5} d^{6} + 14080 \, a b^{4} d^{5} e - 25344 \, a^{2} b^{3} d^{4} e^{2} + 22176 \, a^{3} b^{2} d^{3} e^{3} - 9240 \, a^{4} b d^{2} e^{4} + 1386 \, a^{5} d e^{5} - 7 \, {\left(12 \, b^{5} d e^{5} - 55 \, a b^{4} e^{6}\right)} x^{5} + 10 \, {\left(12 \, b^{5} d^{2} e^{4} - 55 \, a b^{4} d e^{5} + 99 \, a^{2} b^{3} e^{6}\right)} x^{4} - 2 \, {\left(96 \, b^{5} d^{3} e^{3} - 440 \, a b^{4} d^{2} e^{4} + 792 \, a^{2} b^{3} d e^{5} - 693 \, a^{3} b^{2} e^{6}\right)} x^{3} + {\left(384 \, b^{5} d^{4} e^{2} - 1760 \, a b^{4} d^{3} e^{3} + 3168 \, a^{2} b^{3} d^{2} e^{4} - 2772 \, a^{3} b^{2} d e^{5} + 1155 \, a^{4} b e^{6}\right)} x^{2} - {\left(1536 \, b^{5} d^{5} e - 7040 \, a b^{4} d^{4} e^{2} + 12672 \, a^{2} b^{3} d^{3} e^{3} - 11088 \, a^{3} b^{2} d^{2} e^{4} + 4620 \, a^{4} b d e^{5} - 693 \, a^{5} e^{6}\right)} x\right)} b}{693 \, \sqrt{e x + d} e^{7}}"," ",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)*a/(sqrt(e*x + d)*e^6) + 2/693*(63*b^5*e^6*x^6 - 3072*b^5*d^6 + 14080*a*b^4*d^5*e - 25344*a^2*b^3*d^4*e^2 + 22176*a^3*b^2*d^3*e^3 - 9240*a^4*b*d^2*e^4 + 1386*a^5*d*e^5 - 7*(12*b^5*d*e^5 - 55*a*b^4*e^6)*x^5 + 10*(12*b^5*d^2*e^4 - 55*a*b^4*d*e^5 + 99*a^2*b^3*e^6)*x^4 - 2*(96*b^5*d^3*e^3 - 440*a*b^4*d^2*e^4 + 792*a^2*b^3*d*e^5 - 693*a^3*b^2*e^6)*x^3 + (384*b^5*d^4*e^2 - 1760*a*b^4*d^3*e^3 + 3168*a^2*b^3*d^2*e^4 - 2772*a^3*b^2*d*e^5 + 1155*a^4*b*e^6)*x^2 - (1536*b^5*d^5*e - 7040*a*b^4*d^4*e^2 + 12672*a^2*b^3*d^3*e^3 - 11088*a^3*b^2*d^2*e^4 + 4620*a^4*b*d*e^5 - 693*a^5*e^6)*x)*b/(sqrt(e*x + d)*e^7)","B",0
2115,1,625,0,0.878531," ","integrate((b*x+a)*(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)} a}{21 \, {\left(e^{7} x + d e^{6}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(7 \, b^{5} e^{6} x^{6} + 1024 \, b^{5} d^{6} - 3840 \, a b^{4} d^{5} e + 5376 \, a^{2} b^{3} d^{4} e^{2} - 3360 \, a^{3} b^{2} d^{3} e^{3} + 840 \, a^{4} b d^{2} e^{4} - 42 \, a^{5} d e^{5} - 3 \, {\left(4 \, b^{5} d e^{5} - 15 \, a b^{4} e^{6}\right)} x^{5} + 6 \, {\left(4 \, b^{5} d^{2} e^{4} - 15 \, a b^{4} d e^{5} + 21 \, a^{2} b^{3} e^{6}\right)} x^{4} - 2 \, {\left(32 \, b^{5} d^{3} e^{3} - 120 \, a b^{4} d^{2} e^{4} + 168 \, a^{2} b^{3} d e^{5} - 105 \, a^{3} b^{2} e^{6}\right)} x^{3} + 3 \, {\left(128 \, b^{5} d^{4} e^{2} - 480 \, a b^{4} d^{3} e^{3} + 672 \, a^{2} b^{3} d^{2} e^{4} - 420 \, a^{3} b^{2} d e^{5} + 105 \, a^{4} b e^{6}\right)} x^{2} + 3 \, {\left(512 \, b^{5} d^{5} e - 1920 \, a b^{4} d^{4} e^{2} + 2688 \, a^{2} b^{3} d^{3} e^{3} - 1680 \, a^{3} b^{2} d^{2} e^{4} + 420 \, a^{4} b d e^{5} - 21 \, a^{5} e^{6}\right)} x\right)} b}{63 \, {\left(e^{8} x + d e^{7}\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)*a/((e^7*x + d*e^6)*sqrt(e*x + d)) + 2/63*(7*b^5*e^6*x^6 + 1024*b^5*d^6 - 3840*a*b^4*d^5*e + 5376*a^2*b^3*d^4*e^2 - 3360*a^3*b^2*d^3*e^3 + 840*a^4*b*d^2*e^4 - 42*a^5*d*e^5 - 3*(4*b^5*d*e^5 - 15*a*b^4*e^6)*x^5 + 6*(4*b^5*d^2*e^4 - 15*a*b^4*d*e^5 + 21*a^2*b^3*e^6)*x^4 - 2*(32*b^5*d^3*e^3 - 120*a*b^4*d^2*e^4 + 168*a^2*b^3*d*e^5 - 105*a^3*b^2*e^6)*x^3 + 3*(128*b^5*d^4*e^2 - 480*a*b^4*d^3*e^3 + 672*a^2*b^3*d^2*e^4 - 420*a^3*b^2*d*e^5 + 105*a^4*b*e^6)*x^2 + 3*(512*b^5*d^5*e - 1920*a*b^4*d^4*e^2 + 2688*a^2*b^3*d^3*e^3 - 1680*a^3*b^2*d^2*e^4 + 420*a^4*b*d*e^5 - 21*a^5*e^6)*x)*b/((e^8*x + d*e^7)*sqrt(e*x + d))","B",0
2116,1,647,0,0.855553," ","integrate((b*x+a)*(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)} a}{15 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)} \sqrt{e x + d}} + \frac{2 \, {\left(15 \, b^{5} e^{6} x^{6} - 3072 \, b^{5} d^{6} + 8960 \, a b^{4} d^{5} e - 8960 \, a^{2} b^{3} d^{4} e^{2} + 3360 \, a^{3} b^{2} d^{3} e^{3} - 280 \, a^{4} b d^{2} e^{4} - 14 \, a^{5} d e^{5} - 3 \, {\left(12 \, b^{5} d e^{5} - 35 \, a b^{4} e^{6}\right)} x^{5} + 10 \, {\left(12 \, b^{5} d^{2} e^{4} - 35 \, a b^{4} d e^{5} + 35 \, a^{2} b^{3} e^{6}\right)} x^{4} - 10 \, {\left(96 \, b^{5} d^{3} e^{3} - 280 \, a b^{4} d^{2} e^{4} + 280 \, a^{2} b^{3} d e^{5} - 105 \, a^{3} b^{2} e^{6}\right)} x^{3} - 15 \, {\left(384 \, b^{5} d^{4} e^{2} - 1120 \, a b^{4} d^{3} e^{3} + 1120 \, a^{2} b^{3} d^{2} e^{4} - 420 \, a^{3} b^{2} d e^{5} + 35 \, a^{4} b e^{6}\right)} x^{2} - 5 \, {\left(1536 \, b^{5} d^{5} e - 4480 \, a b^{4} d^{4} e^{2} + 4480 \, a^{2} b^{3} d^{3} e^{3} - 1680 \, a^{3} b^{2} d^{2} e^{4} + 140 \, a^{4} b d e^{5} + 7 \, a^{5} e^{6}\right)} x\right)} b}{105 \, {\left(e^{9} x^{2} + 2 \, d e^{8} x + d^{2} e^{7}\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)*a/((e^8*x^2 + 2*d*e^7*x + d^2*e^6)*sqrt(e*x + d)) + 2/105*(15*b^5*e^6*x^6 - 3072*b^5*d^6 + 8960*a*b^4*d^5*e - 8960*a^2*b^3*d^4*e^2 + 3360*a^3*b^2*d^3*e^3 - 280*a^4*b*d^2*e^4 - 14*a^5*d*e^5 - 3*(12*b^5*d*e^5 - 35*a*b^4*e^6)*x^5 + 10*(12*b^5*d^2*e^4 - 35*a*b^4*d*e^5 + 35*a^2*b^3*e^6)*x^4 - 10*(96*b^5*d^3*e^3 - 280*a*b^4*d^2*e^4 + 280*a^2*b^3*d*e^5 - 105*a^3*b^2*e^6)*x^3 - 15*(384*b^5*d^4*e^2 - 1120*a*b^4*d^3*e^3 + 1120*a^2*b^3*d^2*e^4 - 420*a^3*b^2*d*e^5 + 35*a^4*b*e^6)*x^2 - 5*(1536*b^5*d^5*e - 4480*a*b^4*d^4*e^2 + 4480*a^2*b^3*d^3*e^3 - 1680*a^3*b^2*d^2*e^4 + 140*a^4*b*d*e^5 + 7*a^5*e^6)*x)*b/((e^9*x^2 + 2*d*e^8*x + d^2*e^7)*sqrt(e*x + d))","B",0
2117,1,668,0,0.823485," ","integrate((b*x+a)*(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)} a}{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}} + \frac{2 \, {\left(21 \, b^{5} e^{6} x^{6} + 3072 \, b^{5} d^{6} - 6400 \, a b^{4} d^{5} e + 3840 \, a^{2} b^{3} d^{4} e^{2} - 480 \, a^{3} b^{2} d^{3} e^{3} - 40 \, a^{4} b d^{2} e^{4} - 6 \, a^{5} d e^{5} - 7 \, {\left(12 \, b^{5} d e^{5} - 25 \, a b^{4} e^{6}\right)} x^{5} + 70 \, {\left(12 \, b^{5} d^{2} e^{4} - 25 \, a b^{4} d e^{5} + 15 \, a^{2} b^{3} e^{6}\right)} x^{4} + 70 \, {\left(96 \, b^{5} d^{3} e^{3} - 200 \, a b^{4} d^{2} e^{4} + 120 \, a^{2} b^{3} d e^{5} - 15 \, a^{3} b^{2} e^{6}\right)} x^{3} + 35 \, {\left(384 \, b^{5} d^{4} e^{2} - 800 \, a b^{4} d^{3} e^{3} + 480 \, a^{2} b^{3} d^{2} e^{4} - 60 \, a^{3} b^{2} d e^{5} - 5 \, a^{4} b e^{6}\right)} x^{2} + 7 \, {\left(1536 \, b^{5} d^{5} e - 3200 \, a b^{4} d^{4} e^{2} + 1920 \, a^{2} b^{3} d^{3} e^{3} - 240 \, a^{3} b^{2} d^{2} e^{4} - 20 \, a^{4} b d e^{5} - 3 \, a^{5} e^{6}\right)} x\right)} b}{105 \, {\left(e^{10} x^{3} + 3 \, d e^{9} x^{2} + 3 \, d^{2} e^{8} x + d^{3} e^{7}\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)*a/((e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6)*sqrt(e*x + d)) + 2/105*(21*b^5*e^6*x^6 + 3072*b^5*d^6 - 6400*a*b^4*d^5*e + 3840*a^2*b^3*d^4*e^2 - 480*a^3*b^2*d^3*e^3 - 40*a^4*b*d^2*e^4 - 6*a^5*d*e^5 - 7*(12*b^5*d*e^5 - 25*a*b^4*e^6)*x^5 + 70*(12*b^5*d^2*e^4 - 25*a*b^4*d*e^5 + 15*a^2*b^3*e^6)*x^4 + 70*(96*b^5*d^3*e^3 - 200*a*b^4*d^2*e^4 + 120*a^2*b^3*d*e^5 - 15*a^3*b^2*e^6)*x^3 + 35*(384*b^5*d^4*e^2 - 800*a*b^4*d^3*e^3 + 480*a^2*b^3*d^2*e^4 - 60*a^3*b^2*d*e^5 - 5*a^4*b*e^6)*x^2 + 7*(1536*b^5*d^5*e - 3200*a*b^4*d^4*e^2 + 1920*a^2*b^3*d^3*e^3 - 240*a^3*b^2*d^2*e^4 - 20*a^4*b*d*e^5 - 3*a^5*e^6)*x)*b/((e^10*x^3 + 3*d*e^9*x^2 + 3*d^2*e^8*x + d^3*e^7)*sqrt(e*x + d))","B",0
2118,1,687,0,0.922624," ","integrate((b*x+a)*(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)} a}{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}} + \frac{2 \, {\left(21 \, b^{5} e^{6} x^{6} - 1024 \, b^{5} d^{6} + 1280 \, a b^{4} d^{5} e - 256 \, a^{2} b^{3} d^{4} e^{2} - 32 \, a^{3} b^{2} d^{3} e^{3} - 8 \, a^{4} b d^{2} e^{4} - 2 \, a^{5} d e^{5} - 63 \, {\left(4 \, b^{5} d e^{5} - 5 \, a b^{4} e^{6}\right)} x^{5} - 630 \, {\left(4 \, b^{5} d^{2} e^{4} - 5 \, a b^{4} d e^{5} + a^{2} b^{3} e^{6}\right)} x^{4} - 210 \, {\left(32 \, b^{5} d^{3} e^{3} - 40 \, a b^{4} d^{2} e^{4} + 8 \, a^{2} b^{3} d e^{5} + a^{3} b^{2} e^{6}\right)} x^{3} - 63 \, {\left(128 \, b^{5} d^{4} e^{2} - 160 \, a b^{4} d^{3} e^{3} + 32 \, a^{2} b^{3} d^{2} e^{4} + 4 \, a^{3} b^{2} d e^{5} + a^{4} b e^{6}\right)} x^{2} - 9 \, {\left(512 \, b^{5} d^{5} e - 640 \, a b^{4} d^{4} e^{2} + 128 \, a^{2} b^{3} d^{3} e^{3} + 16 \, a^{3} b^{2} d^{2} e^{4} + 4 \, a^{4} b d e^{5} + a^{5} e^{6}\right)} x\right)} b}{63 \, {\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)} \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)*a/((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)) + 2/63*(21*b^5*e^6*x^6 - 1024*b^5*d^6 + 1280*a*b^4*d^5*e - 256*a^2*b^3*d^4*e^2 - 32*a^3*b^2*d^3*e^3 - 8*a^4*b*d^2*e^4 - 2*a^5*d*e^5 - 63*(4*b^5*d*e^5 - 5*a*b^4*e^6)*x^5 - 630*(4*b^5*d^2*e^4 - 5*a*b^4*d*e^5 + a^2*b^3*e^6)*x^4 - 210*(32*b^5*d^3*e^3 - 40*a*b^4*d^2*e^4 + 8*a^2*b^3*d*e^5 + a^3*b^2*e^6)*x^3 - 63*(128*b^5*d^4*e^2 - 160*a*b^4*d^3*e^3 + 32*a^2*b^3*d^2*e^4 + 4*a^3*b^2*d*e^5 + a^4*b*e^6)*x^2 - 9*(512*b^5*d^5*e - 640*a*b^4*d^4*e^2 + 128*a^2*b^3*d^3*e^3 + 16*a^3*b^2*d^2*e^4 + 4*a^4*b*d*e^5 + a^5*e^6)*x)*b/((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)*sqrt(e*x + d))","B",0
2119,1,712,0,0.977042," ","integrate((b*x+a)*(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)} a}{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}} + \frac{2 \, {\left(693 \, b^{5} e^{6} x^{6} + 3072 \, b^{5} d^{6} - 1280 \, a b^{4} d^{5} e - 256 \, a^{2} b^{3} d^{4} e^{2} - 96 \, a^{3} b^{2} d^{3} e^{3} - 40 \, a^{4} b d^{2} e^{4} - 14 \, a^{5} d e^{5} + 693 \, {\left(12 \, b^{5} d e^{5} - 5 \, a b^{4} e^{6}\right)} x^{5} + 2310 \, {\left(12 \, b^{5} d^{2} e^{4} - 5 \, a b^{4} d e^{5} - a^{2} b^{3} e^{6}\right)} x^{4} + 462 \, {\left(96 \, b^{5} d^{3} e^{3} - 40 \, a b^{4} d^{2} e^{4} - 8 \, a^{2} b^{3} d e^{5} - 3 \, a^{3} b^{2} e^{6}\right)} x^{3} + 99 \, {\left(384 \, b^{5} d^{4} e^{2} - 160 \, a b^{4} d^{3} e^{3} - 32 \, a^{2} b^{3} d^{2} e^{4} - 12 \, a^{3} b^{2} d e^{5} - 5 \, a^{4} b e^{6}\right)} x^{2} + 11 \, {\left(1536 \, b^{5} d^{5} e - 640 \, a b^{4} d^{4} e^{2} - 128 \, a^{2} b^{3} d^{3} e^{3} - 48 \, a^{3} b^{2} d^{2} e^{4} - 20 \, a^{4} b d e^{5} - 7 \, a^{5} e^{6}\right)} x\right)} b}{693 \, {\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)} \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)*a/((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)) + 2/693*(693*b^5*e^6*x^6 + 3072*b^5*d^6 - 1280*a*b^4*d^5*e - 256*a^2*b^3*d^4*e^2 - 96*a^3*b^2*d^3*e^3 - 40*a^4*b*d^2*e^4 - 14*a^5*d*e^5 + 693*(12*b^5*d*e^5 - 5*a*b^4*e^6)*x^5 + 2310*(12*b^5*d^2*e^4 - 5*a*b^4*d*e^5 - a^2*b^3*e^6)*x^4 + 462*(96*b^5*d^3*e^3 - 40*a*b^4*d^2*e^4 - 8*a^2*b^3*d*e^5 - 3*a^3*b^2*e^6)*x^3 + 99*(384*b^5*d^4*e^2 - 160*a*b^4*d^3*e^3 - 32*a^2*b^3*d^2*e^4 - 12*a^3*b^2*d*e^5 - 5*a^4*b*e^6)*x^2 + 11*(1536*b^5*d^5*e - 640*a*b^4*d^4*e^2 - 128*a^2*b^3*d^3*e^3 - 48*a^3*b^2*d^2*e^4 - 20*a^4*b*d*e^5 - 7*a^5*e^6)*x)*b/((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)*sqrt(e*x + d))","B",0
2120,1,735,0,0.902670," ","integrate((b*x+a)*(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)} a}{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}} - \frac{2 \, {\left(9009 \, b^{5} e^{6} x^{6} + 3072 \, b^{5} d^{6} + 1280 \, a b^{4} d^{5} e + 768 \, a^{2} b^{3} d^{4} e^{2} + 480 \, a^{3} b^{2} d^{3} e^{3} + 280 \, a^{4} b d^{2} e^{4} + 126 \, a^{5} d e^{5} + 3003 \, {\left(12 \, b^{5} d e^{5} + 5 \, a b^{4} e^{6}\right)} x^{5} + 6006 \, {\left(12 \, b^{5} d^{2} e^{4} + 5 \, a b^{4} d e^{5} + 3 \, a^{2} b^{3} e^{6}\right)} x^{4} + 858 \, {\left(96 \, b^{5} d^{3} e^{3} + 40 \, a b^{4} d^{2} e^{4} + 24 \, a^{2} b^{3} d e^{5} + 15 \, a^{3} b^{2} e^{6}\right)} x^{3} + 143 \, {\left(384 \, b^{5} d^{4} e^{2} + 160 \, a b^{4} d^{3} e^{3} + 96 \, a^{2} b^{3} d^{2} e^{4} + 60 \, a^{3} b^{2} d e^{5} + 35 \, a^{4} b e^{6}\right)} x^{2} + 13 \, {\left(1536 \, b^{5} d^{5} e + 640 \, a b^{4} d^{4} e^{2} + 384 \, a^{2} b^{3} d^{3} e^{3} + 240 \, a^{3} b^{2} d^{2} e^{4} + 140 \, a^{4} b d e^{5} + 63 \, a^{5} e^{6}\right)} x\right)} b}{9009 \, {\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)} \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)*a/((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)) - 2/9009*(9009*b^5*e^6*x^6 + 3072*b^5*d^6 + 1280*a*b^4*d^5*e + 768*a^2*b^3*d^4*e^2 + 480*a^3*b^2*d^3*e^3 + 280*a^4*b*d^2*e^4 + 126*a^5*d*e^5 + 3003*(12*b^5*d*e^5 + 5*a*b^4*e^6)*x^5 + 6006*(12*b^5*d^2*e^4 + 5*a*b^4*d*e^5 + 3*a^2*b^3*e^6)*x^4 + 858*(96*b^5*d^3*e^3 + 40*a*b^4*d^2*e^4 + 24*a^2*b^3*d*e^5 + 15*a^3*b^2*e^6)*x^3 + 143*(384*b^5*d^4*e^2 + 160*a*b^4*d^3*e^3 + 96*a^2*b^3*d^2*e^4 + 60*a^3*b^2*d*e^5 + 35*a^4*b*e^6)*x^2 + 13*(1536*b^5*d^5*e + 640*a*b^4*d^4*e^2 + 384*a^2*b^3*d^3*e^3 + 240*a^3*b^2*d^2*e^4 + 140*a^4*b*d*e^5 + 63*a^5*e^6)*x)*b/((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)*sqrt(e*x + d))","B",0
2121,1,757,0,0.969024," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(17/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(9009 \, b^{5} e^{5} x^{5} + 256 \, b^{5} d^{5} + 640 \, a b^{4} d^{4} e + 1120 \, a^{2} b^{3} d^{3} e^{2} + 1680 \, a^{3} b^{2} d^{2} e^{3} + 2310 \, a^{4} b d e^{4} + 3003 \, a^{5} e^{5} + 6435 \, {\left(2 \, b^{5} d e^{4} + 5 \, a b^{4} e^{5}\right)} x^{4} + 1430 \, {\left(8 \, b^{5} d^{2} e^{3} + 20 \, a b^{4} d e^{4} + 35 \, a^{2} b^{3} e^{5}\right)} x^{3} + 390 \, {\left(16 \, b^{5} d^{3} e^{2} + 40 \, a b^{4} d^{2} e^{3} + 70 \, a^{2} b^{3} d e^{4} + 105 \, a^{3} b^{2} e^{5}\right)} x^{2} + 15 \, {\left(128 \, b^{5} d^{4} e + 320 \, a b^{4} d^{3} e^{2} + 560 \, a^{2} b^{3} d^{2} e^{3} + 840 \, a^{3} b^{2} d e^{4} + 1155 \, a^{4} b e^{5}\right)} x\right)} a}{45045 \, {\left(e^{13} x^{7} + 7 \, d e^{12} x^{6} + 21 \, d^{2} e^{11} x^{5} + 35 \, d^{3} e^{10} x^{4} + 35 \, d^{4} e^{9} x^{3} + 21 \, d^{5} e^{8} x^{2} + 7 \, d^{6} e^{7} x + d^{7} e^{6}\right)} \sqrt{e x + d}} - \frac{2 \, {\left(15015 \, b^{5} e^{6} x^{6} + 1024 \, b^{5} d^{6} + 1280 \, a b^{4} d^{5} e + 1280 \, a^{2} b^{3} d^{4} e^{2} + 1120 \, a^{3} b^{2} d^{3} e^{3} + 840 \, a^{4} b d^{2} e^{4} + 462 \, a^{5} d e^{5} + 9009 \, {\left(4 \, b^{5} d e^{5} + 5 \, a b^{4} e^{6}\right)} x^{5} + 12870 \, {\left(4 \, b^{5} d^{2} e^{4} + 5 \, a b^{4} d e^{5} + 5 \, a^{2} b^{3} e^{6}\right)} x^{4} + 1430 \, {\left(32 \, b^{5} d^{3} e^{3} + 40 \, a b^{4} d^{2} e^{4} + 40 \, a^{2} b^{3} d e^{5} + 35 \, a^{3} b^{2} e^{6}\right)} x^{3} + 195 \, {\left(128 \, b^{5} d^{4} e^{2} + 160 \, a b^{4} d^{3} e^{3} + 160 \, a^{2} b^{3} d^{2} e^{4} + 140 \, a^{3} b^{2} d e^{5} + 105 \, a^{4} b e^{6}\right)} x^{2} + 15 \, {\left(512 \, b^{5} d^{5} e + 640 \, a b^{4} d^{4} e^{2} + 640 \, a^{2} b^{3} d^{3} e^{3} + 560 \, a^{3} b^{2} d^{2} e^{4} + 420 \, a^{4} b d e^{5} + 231 \, a^{5} e^{6}\right)} x\right)} b}{45045 \, {\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)} \sqrt{e x + d}}"," ",0,"-2/45045*(9009*b^5*e^5*x^5 + 256*b^5*d^5 + 640*a*b^4*d^4*e + 1120*a^2*b^3*d^3*e^2 + 1680*a^3*b^2*d^2*e^3 + 2310*a^4*b*d*e^4 + 3003*a^5*e^5 + 6435*(2*b^5*d*e^4 + 5*a*b^4*e^5)*x^4 + 1430*(8*b^5*d^2*e^3 + 20*a*b^4*d*e^4 + 35*a^2*b^3*e^5)*x^3 + 390*(16*b^5*d^3*e^2 + 40*a*b^4*d^2*e^3 + 70*a^2*b^3*d*e^4 + 105*a^3*b^2*e^5)*x^2 + 15*(128*b^5*d^4*e + 320*a*b^4*d^3*e^2 + 560*a^2*b^3*d^2*e^3 + 840*a^3*b^2*d*e^4 + 1155*a^4*b*e^5)*x)*a/((e^13*x^7 + 7*d*e^12*x^6 + 21*d^2*e^11*x^5 + 35*d^3*e^10*x^4 + 35*d^4*e^9*x^3 + 21*d^5*e^8*x^2 + 7*d^6*e^7*x + d^7*e^6)*sqrt(e*x + d)) - 2/45045*(15015*b^5*e^6*x^6 + 1024*b^5*d^6 + 1280*a*b^4*d^5*e + 1280*a^2*b^3*d^4*e^2 + 1120*a^3*b^2*d^3*e^3 + 840*a^4*b*d^2*e^4 + 462*a^5*d*e^5 + 9009*(4*b^5*d*e^5 + 5*a*b^4*e^6)*x^5 + 12870*(4*b^5*d^2*e^4 + 5*a*b^4*d*e^5 + 5*a^2*b^3*e^6)*x^4 + 1430*(32*b^5*d^3*e^3 + 40*a*b^4*d^2*e^4 + 40*a^2*b^3*d*e^5 + 35*a^3*b^2*e^6)*x^3 + 195*(128*b^5*d^4*e^2 + 160*a*b^4*d^3*e^3 + 160*a^2*b^3*d^2*e^4 + 140*a^3*b^2*d*e^5 + 105*a^4*b*e^6)*x^2 + 15*(512*b^5*d^5*e + 640*a*b^4*d^4*e^2 + 640*a^2*b^3*d^3*e^3 + 560*a^3*b^2*d^2*e^4 + 420*a^4*b*d*e^5 + 231*a^5*e^6)*x)*b/((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)*sqrt(e*x + d))","B",0
2122,1,50,0,1.006521," ","integrate((b*x+a)*(e*x+d)^(7/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}\right)} \sqrt{e x + d}}{9 \, e}"," ",0,"2/9*(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4)*sqrt(e*x + d)/e","A",0
2123,1,39,0,0.974480," ","integrate((b*x+a)*(e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}\right)} \sqrt{e x + d}}{7 \, e}"," ",0,"2/7*(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)*sqrt(e*x + d)/e","A",0
2124,1,28,0,0.953611," ","integrate((b*x+a)*(e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)} \sqrt{e x + d}}{5 \, e}"," ",0,"2/5*(e^2*x^2 + 2*d*e*x + d^2)*sqrt(e*x + d)/e","A",0
2125,1,12,0,0.843036," ","integrate((b*x+a)*(e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(e x + d\right)}^{\frac{3}{2}}}{3 \, e}"," ",0,"2/3*(e*x + d)^(3/2)/e","A",0
2126,1,12,0,0.738753," ","integrate((b*x+a)/(e*x+d)^(1/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{e x + d}}{e}"," ",0,"2*sqrt(e*x + d)/e","A",0
2127,1,20,0,0.802262," ","integrate((b*x+a)/(e*x+d)^(3/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{e x + d}}{e^{2} x + d e}"," ",0,"-2*sqrt(e*x + d)/(e^2*x + d*e)","A",0
2128,1,31,0,0.822126," ","integrate((b*x+a)/(e*x+d)^(5/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{e x + d}}{3 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}}"," ",0,"-2/3*sqrt(e*x + d)/(e^3*x^2 + 2*d*e^2*x + d^2*e)","A",0
2129,1,42,0,0.833776," ","integrate((b*x+a)/(e*x+d)^(7/2)/((b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{e x + d}}{5 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}}"," ",0,"-2/5*sqrt(e*x + d)/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e)","A",0
2130,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\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((b*x + a)*(e*x + d)^(7/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
2131,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\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((b*x + a)*(e*x + d)^(5/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
2132,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\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((b*x + a)*(e*x + d)^(3/2)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
2133,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} \sqrt{e x + d}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)*sqrt(e*x + d)/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
2134,0,0,0,0.000000," ","integrate((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((b*x + a)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*sqrt(e*x + d)), x)","F",0
2135,0,0,0,0.000000," ","integrate((b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\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((b*x + a)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(e*x + d)^(3/2)), x)","F",0
2136,0,0,0,0.000000," ","integrate((b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\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((b*x + a)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(e*x + d)^(5/2)), x)","F",0
2137,0,0,0,0.000000," ","integrate((b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\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((b*x + a)/((b^2*x^2 + 2*a*b*x + a^2)^(3/2)*(e*x + d)^(7/2)), x)","F",0
2138,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\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((b*x + a)*(e*x + d)^(7/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
2139,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\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((b*x + a)*(e*x + d)^(5/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
2140,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\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((b*x + a)*(e*x + d)^(3/2)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
2141,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^(1/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} \sqrt{e x + d}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)*sqrt(e*x + d)/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
2142,0,0,0,0.000000," ","integrate((b*x+a)/(b^2*x^2+2*a*b*x+a^2)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((b*x + a)/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*sqrt(e*x + d)), x)","F",0
2143,0,0,0,0.000000," ","integrate((b*x+a)/(e*x+d)^(3/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\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((b*x + a)/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(e*x + d)^(3/2)), x)","F",0
2144,0,0,0,0.000000," ","integrate((b*x+a)/(e*x+d)^(5/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\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((b*x + a)/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(e*x + d)^(5/2)), x)","F",0
2145,0,0,0,0.000000," ","integrate((b*x+a)/(e*x+d)^(7/2)/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\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((b*x + a)/((b^2*x^2 + 2*a*b*x + a^2)^(5/2)*(e*x + d)^(7/2)), x)","F",0
2146,1,1108,0,0.842487," ","integrate((b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{7 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a^{6} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{7}}{e {\left(m + 1\right)}} + \frac{21 \, {\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^{5} b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{35 \, {\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^{4} b^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{35 \, {\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^{3} b^{4}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{21 \, {\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^{2} b^{5}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \frac{7 \, {\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 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}} + \frac{{\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^{7}}{{\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}}"," ",0,"7*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^6*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^7/(e*(m + 1)) + 21*((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^5*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 35*((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^4*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 35*((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^3*b^4/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 21*((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^2*b^5/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 7*((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*b^6/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7) + ((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^7/((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)","B",0
2147,1,581,0,0.672827," ","integrate((b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\frac{5 \, {\left(e^{2} {\left(m + 1\right)} x^{2} + d e m x - d^{2}\right)} {\left(e x + d\right)}^{m} a^{4} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{5}}{e {\left(m + 1\right)}} + \frac{10 \, {\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} b^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{10 \, {\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^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{5 \, {\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^{4}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \frac{{\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^{5}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}}"," ",0,"5*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^4*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^5/(e*(m + 1)) + 10*((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*b^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 10*((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^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 5*((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^4/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + ((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^5/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6)","B",0
2148,1,246,0,0.661174," ","integrate((b*x+a)*(e*x+d)^m*(b^2*x^2+2*a*b*x+a^2),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{{\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}}"," ",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) + ((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)","B",0
2149,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\left(e x + d\right)}^{m}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\,{d x}"," ",0,"integrate((b*x + a)*(e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
2150,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\left(e x + d\right)}^{m}}{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)*(e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2)^2, x)","F",0
2151,1,1864,0,0.850919," ","integrate((b*x+a)*(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} a}{{\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)} b^{5} e^{7} x^{7} + 240 \, {\left(m^{2} + 13 \, m + 42\right)} a^{2} b^{3} d^{5} e^{2} - 60 \, {\left(m^{3} + 18 \, m^{2} + 107 \, m + 210\right)} a^{3} b^{2} d^{4} e^{3} + 10 \, {\left(m^{4} + 22 \, m^{3} + 179 \, m^{2} + 638 \, m + 840\right)} a^{4} b d^{3} e^{4} - {\left(m^{5} + 25 \, m^{4} + 245 \, m^{3} + 1175 \, m^{2} + 2754 \, m + 2520\right)} a^{5} d^{2} e^{5} - 600 \, a b^{4} d^{6} e {\left(m + 7\right)} + 720 \, b^{5} d^{7} + {\left({\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} b^{5} d e^{6} + 5 \, {\left(m^{6} + 22 \, m^{5} + 190 \, m^{4} + 820 \, m^{3} + 1849 \, m^{2} + 2038 \, m + 840\right)} a b^{4} e^{7}\right)} x^{6} - {\left(6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} b^{5} d^{2} e^{5} - 5 \, {\left(m^{6} + 17 \, m^{5} + 105 \, m^{4} + 295 \, m^{3} + 374 \, m^{2} + 168 \, m\right)} a b^{4} d e^{6} - 10 \, {\left(m^{6} + 23 \, m^{5} + 207 \, m^{4} + 925 \, m^{3} + 2144 \, m^{2} + 2412 \, m + 1008\right)} a^{2} b^{3} e^{7}\right)} x^{5} + 5 \, {\left(6 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b^{5} d^{3} e^{4} - 5 \, {\left(m^{5} + 13 \, m^{4} + 53 \, m^{3} + 83 \, m^{2} + 42 \, m\right)} a b^{4} d^{2} e^{5} + 2 \, {\left(m^{6} + 19 \, m^{5} + 131 \, m^{4} + 401 \, m^{3} + 540 \, m^{2} + 252 \, m\right)} a^{2} b^{3} d e^{6} + 2 \, {\left(m^{6} + 24 \, m^{5} + 226 \, m^{4} + 1056 \, m^{3} + 2545 \, m^{2} + 2952 \, m + 1260\right)} a^{3} b^{2} e^{7}\right)} x^{4} - 5 \, {\left(24 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{5} d^{4} e^{3} - 20 \, {\left(m^{4} + 10 \, m^{3} + 23 \, m^{2} + 14 \, m\right)} a b^{4} d^{3} e^{4} + 8 \, {\left(m^{5} + 16 \, m^{4} + 83 \, m^{3} + 152 \, m^{2} + 84 \, m\right)} a^{2} b^{3} d^{2} e^{5} - 2 \, {\left(m^{6} + 21 \, m^{5} + 163 \, m^{4} + 567 \, m^{3} + 844 \, m^{2} + 420 \, m\right)} a^{3} b^{2} d e^{6} - {\left(m^{6} + 25 \, m^{5} + 247 \, m^{4} + 1219 \, m^{3} + 3112 \, m^{2} + 3796 \, m + 1680\right)} a^{4} b e^{7}\right)} x^{3} + {\left(360 \, {\left(m^{2} + m\right)} b^{5} d^{5} e^{2} - 300 \, {\left(m^{3} + 8 \, m^{2} + 7 \, m\right)} a b^{4} d^{4} e^{3} + 120 \, {\left(m^{4} + 14 \, m^{3} + 55 \, m^{2} + 42 \, m\right)} a^{2} b^{3} d^{3} e^{4} - 30 \, {\left(m^{5} + 19 \, m^{4} + 125 \, m^{3} + 317 \, m^{2} + 210 \, m\right)} a^{3} b^{2} d^{2} e^{5} + 5 \, {\left(m^{6} + 23 \, m^{5} + 201 \, m^{4} + 817 \, m^{3} + 1478 \, m^{2} + 840 \, m\right)} a^{4} b d e^{6} + {\left(m^{6} + 26 \, m^{5} + 270 \, m^{4} + 1420 \, m^{3} + 3929 \, m^{2} + 5274 \, m + 2520\right)} a^{5} e^{7}\right)} x^{2} + {\left(600 \, {\left(m^{2} + 7 \, m\right)} a b^{4} d^{5} e^{2} - 240 \, {\left(m^{3} + 13 \, m^{2} + 42 \, m\right)} a^{2} b^{3} d^{4} e^{3} + 60 \, {\left(m^{4} + 18 \, m^{3} + 107 \, m^{2} + 210 \, m\right)} a^{3} b^{2} d^{3} e^{4} - 10 \, {\left(m^{5} + 22 \, m^{4} + 179 \, m^{3} + 638 \, m^{2} + 840 \, m\right)} a^{4} b d^{2} e^{5} + {\left(m^{6} + 25 \, m^{5} + 245 \, m^{4} + 1175 \, m^{3} + 2754 \, m^{2} + 2520 \, m\right)} a^{5} d e^{6} - 720 \, b^{5} d^{6} e m\right)} x\right)} {\left(e x + d\right)}^{m} b}{{\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^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*a/((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)*b^5*e^7*x^7 + 240*(m^2 + 13*m + 42)*a^2*b^3*d^5*e^2 - 60*(m^3 + 18*m^2 + 107*m + 210)*a^3*b^2*d^4*e^3 + 10*(m^4 + 22*m^3 + 179*m^2 + 638*m + 840)*a^4*b*d^3*e^4 - (m^5 + 25*m^4 + 245*m^3 + 1175*m^2 + 2754*m + 2520)*a^5*d^2*e^5 - 600*a*b^4*d^6*e*(m + 7) + 720*b^5*d^7 + ((m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*b^5*d*e^6 + 5*(m^6 + 22*m^5 + 190*m^4 + 820*m^3 + 1849*m^2 + 2038*m + 840)*a*b^4*e^7)*x^6 - (6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*b^5*d^2*e^5 - 5*(m^6 + 17*m^5 + 105*m^4 + 295*m^3 + 374*m^2 + 168*m)*a*b^4*d*e^6 - 10*(m^6 + 23*m^5 + 207*m^4 + 925*m^3 + 2144*m^2 + 2412*m + 1008)*a^2*b^3*e^7)*x^5 + 5*(6*(m^4 + 6*m^3 + 11*m^2 + 6*m)*b^5*d^3*e^4 - 5*(m^5 + 13*m^4 + 53*m^3 + 83*m^2 + 42*m)*a*b^4*d^2*e^5 + 2*(m^6 + 19*m^5 + 131*m^4 + 401*m^3 + 540*m^2 + 252*m)*a^2*b^3*d*e^6 + 2*(m^6 + 24*m^5 + 226*m^4 + 1056*m^3 + 2545*m^2 + 2952*m + 1260)*a^3*b^2*e^7)*x^4 - 5*(24*(m^3 + 3*m^2 + 2*m)*b^5*d^4*e^3 - 20*(m^4 + 10*m^3 + 23*m^2 + 14*m)*a*b^4*d^3*e^4 + 8*(m^5 + 16*m^4 + 83*m^3 + 152*m^2 + 84*m)*a^2*b^3*d^2*e^5 - 2*(m^6 + 21*m^5 + 163*m^4 + 567*m^3 + 844*m^2 + 420*m)*a^3*b^2*d*e^6 - (m^6 + 25*m^5 + 247*m^4 + 1219*m^3 + 3112*m^2 + 3796*m + 1680)*a^4*b*e^7)*x^3 + (360*(m^2 + m)*b^5*d^5*e^2 - 300*(m^3 + 8*m^2 + 7*m)*a*b^4*d^4*e^3 + 120*(m^4 + 14*m^3 + 55*m^2 + 42*m)*a^2*b^3*d^3*e^4 - 30*(m^5 + 19*m^4 + 125*m^3 + 317*m^2 + 210*m)*a^3*b^2*d^2*e^5 + 5*(m^6 + 23*m^5 + 201*m^4 + 817*m^3 + 1478*m^2 + 840*m)*a^4*b*d*e^6 + (m^6 + 26*m^5 + 270*m^4 + 1420*m^3 + 3929*m^2 + 5274*m + 2520)*a^5*e^7)*x^2 + (600*(m^2 + 7*m)*a*b^4*d^5*e^2 - 240*(m^3 + 13*m^2 + 42*m)*a^2*b^3*d^4*e^3 + 60*(m^4 + 18*m^3 + 107*m^2 + 210*m)*a^3*b^2*d^3*e^4 - 10*(m^5 + 22*m^4 + 179*m^3 + 638*m^2 + 840*m)*a^4*b*d^2*e^5 + (m^6 + 25*m^5 + 245*m^4 + 1175*m^3 + 2754*m^2 + 2520*m)*a^5*d*e^6 - 720*b^5*d^6*e*m)*x)*(e*x + d)^m*b/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7)","B",0
2152,1,756,0,0.760166," ","integrate((b*x+a)*(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} a}{{\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)} b^{3} e^{5} x^{5} + 6 \, {\left(m^{2} + 9 \, m + 20\right)} a^{2} b d^{3} e^{2} - {\left(m^{3} + 12 \, m^{2} + 47 \, m + 60\right)} a^{3} d^{2} e^{3} - 18 \, a b^{2} d^{4} e {\left(m + 5\right)} + 24 \, b^{3} d^{5} + {\left({\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} b^{3} d e^{4} + 3 \, {\left(m^{4} + 11 \, m^{3} + 41 \, m^{2} + 61 \, m + 30\right)} a b^{2} e^{5}\right)} x^{4} - {\left(4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} b^{3} d^{2} e^{3} - 3 \, {\left(m^{4} + 8 \, m^{3} + 17 \, m^{2} + 10 \, m\right)} a b^{2} d e^{4} - 3 \, {\left(m^{4} + 12 \, m^{3} + 49 \, m^{2} + 78 \, m + 40\right)} a^{2} b e^{5}\right)} x^{3} + {\left(12 \, {\left(m^{2} + m\right)} b^{3} d^{3} e^{2} - 9 \, {\left(m^{3} + 6 \, m^{2} + 5 \, m\right)} a b^{2} d^{2} e^{3} + 3 \, {\left(m^{4} + 10 \, m^{3} + 29 \, m^{2} + 20 \, m\right)} a^{2} b d e^{4} + {\left(m^{4} + 13 \, m^{3} + 59 \, m^{2} + 107 \, m + 60\right)} a^{3} e^{5}\right)} x^{2} + {\left(18 \, {\left(m^{2} + 5 \, m\right)} a b^{2} d^{3} e^{2} - 6 \, {\left(m^{3} + 9 \, m^{2} + 20 \, m\right)} a^{2} b d^{2} e^{3} + {\left(m^{4} + 12 \, m^{3} + 47 \, m^{2} + 60 \, m\right)} a^{3} d e^{4} - 24 \, b^{3} d^{4} e m\right)} x\right)} {\left(e x + d\right)}^{m} b}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}}"," ",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*a/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^3*e^5*x^5 + 6*(m^2 + 9*m + 20)*a^2*b*d^3*e^2 - (m^3 + 12*m^2 + 47*m + 60)*a^3*d^2*e^3 - 18*a*b^2*d^4*e*(m + 5) + 24*b^3*d^5 + ((m^4 + 6*m^3 + 11*m^2 + 6*m)*b^3*d*e^4 + 3*(m^4 + 11*m^3 + 41*m^2 + 61*m + 30)*a*b^2*e^5)*x^4 - (4*(m^3 + 3*m^2 + 2*m)*b^3*d^2*e^3 - 3*(m^4 + 8*m^3 + 17*m^2 + 10*m)*a*b^2*d*e^4 - 3*(m^4 + 12*m^3 + 49*m^2 + 78*m + 40)*a^2*b*e^5)*x^3 + (12*(m^2 + m)*b^3*d^3*e^2 - 9*(m^3 + 6*m^2 + 5*m)*a*b^2*d^2*e^3 + 3*(m^4 + 10*m^3 + 29*m^2 + 20*m)*a^2*b*d*e^4 + (m^4 + 13*m^3 + 59*m^2 + 107*m + 60)*a^3*e^5)*x^2 + (18*(m^2 + 5*m)*a*b^2*d^3*e^2 - 6*(m^3 + 9*m^2 + 20*m)*a^2*b*d^2*e^3 + (m^4 + 12*m^3 + 47*m^2 + 60*m)*a^3*d*e^4 - 24*b^3*d^4*e*m)*x)*(e*x + d)^m*b/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5)","B",0
2153,1,177,0,0.581360," ","integrate((b*x+a)*(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} a}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} b e^{3} x^{3} - a d^{2} e {\left(m + 3\right)} + 2 \, b d^{3} + {\left({\left(m^{2} + m\right)} b d e^{2} + {\left(m^{2} + 4 \, m + 3\right)} a e^{3}\right)} x^{2} + {\left({\left(m^{2} + 3 \, m\right)} a d e^{2} - 2 \, b d^{2} e m\right)} x\right)} {\left(e x + d\right)}^{m} b}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}}"," ",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*a/((m^2 + 3*m + 2)*e^2) + ((m^2 + 3*m + 2)*b*e^3*x^3 - a*d^2*e*(m + 3) + 2*b*d^3 + ((m^2 + m)*b*d*e^2 + (m^2 + 4*m + 3)*a*e^3)*x^2 + ((m^2 + 3*m)*a*d*e^2 - 2*b*d^2*e*m)*x)*(e*x + d)^m*b/((m^3 + 6*m^2 + 11*m + 6)*e^3)","A",0
2154,1,21,0,0.745150," ","integrate((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(e x + d\right)} {\left(e x + d\right)}^{m}}{e {\left(m + 1\right)}}"," ",0,"(e*x + d)*(e*x + d)^m/(e*(m + 1))","A",0
2155,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\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((b*x + a)*(e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2)^(3/2), x)","F",0
2156,0,0,0,0.000000," ","integrate((b*x+a)*(e*x+d)^m/(b^2*x^2+2*a*b*x+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\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((b*x + a)*(e*x + d)^m/(b^2*x^2 + 2*a*b*x + a^2)^(5/2), x)","F",0
2157,0,0,0,0.000000," ","integrate((b*c*x+a*c)*(e*x+d)^(-3-2*p)*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\int {\left(b c x + a c\right)} {\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*c*x + a*c)*(b^2*x^2 + 2*a*b*x + a^2)^p*(e*x + d)^(-2*p - 3), x)","F",0
2158,1,679,0,0.745458," ","integrate((b*x+a)*(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} a d^{3}}{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^{3}}{2 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} b} + \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} a 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^{2} e}{{\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\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} a d e^{2}}{{\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{3}} + \frac{3 \, {\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} d e^{2}}{2 \, {\left(4 \, p^{4} + 20 \, p^{3} + 35 \, p^{2} + 25 \, p + 6\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} a e^{3}}{2 \, {\left(4 \, p^{4} + 20 \, p^{3} + 35 \, p^{2} + 25 \, p + 6\right)} b^{4}} + \frac{{\left({\left(4 \, p^{4} + 20 \, p^{3} + 35 \, p^{2} + 25 \, p + 6\right)} b^{5} x^{5} + {\left(4 \, p^{4} + 12 \, p^{3} + 11 \, p^{2} + 3 \, p\right)} a b^{4} x^{4} - 4 \, {\left(2 \, p^{3} + 3 \, p^{2} + p\right)} a^{2} b^{3} x^{3} + 6 \, {\left(2 \, p^{2} + p\right)} a^{3} b^{2} x^{2} - 12 \, a^{4} b p x + 6 \, a^{5}\right)} {\left(b x + a\right)}^{2 \, p} e^{3}}{{\left(8 \, p^{5} + 60 \, p^{4} + 170 \, p^{3} + 225 \, p^{2} + 137 \, p + 30\right)} b^{4}}"," ",0,"(b*x + a)*(b*x + a)^(2*p)*a*d^3/(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)*d^3/((2*p^2 + 3*p + 1)*b) + 3/2*(b^2*(2*p + 1)*x^2 + 2*a*b*p*x - a^2)*(b*x + a)^(2*p)*a*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^2*e/((4*p^3 + 12*p^2 + 11*p + 3)*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)*a*d*e^2/((4*p^3 + 12*p^2 + 11*p + 3)*b^3) + 3/2*((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)*d*e^2/((4*p^4 + 20*p^3 + 35*p^2 + 25*p + 6)*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)*a*e^3/((4*p^4 + 20*p^3 + 35*p^2 + 25*p + 6)*b^4) + ((4*p^4 + 20*p^3 + 35*p^2 + 25*p + 6)*b^5*x^5 + (4*p^4 + 12*p^3 + 11*p^2 + 3*p)*a*b^4*x^4 - 4*(2*p^3 + 3*p^2 + p)*a^2*b^3*x^3 + 6*(2*p^2 + p)*a^3*b^2*x^2 - 12*a^4*b*p*x + 6*a^5)*(b*x + a)^(2*p)*e^3/((8*p^5 + 60*p^4 + 170*p^3 + 225*p^2 + 137*p + 30)*b^4)","B",0
2159,1,404,0,0.641258," ","integrate((b*x+a)*(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} a 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^{2}}{2 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} b} + \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} a d e}{{\left(2 \, p^{2} + 3 \, p + 1\right)} b^{2}} + \frac{2 \, {\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}{{\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\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} a 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^{2}}{2 \, {\left(4 \, p^{4} + 20 \, p^{3} + 35 \, p^{2} + 25 \, p + 6\right)} b^{3}}"," ",0,"(b*x + a)*(b*x + a)^(2*p)*a*d^2/(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)*d^2/((2*p^2 + 3*p + 1)*b) + (b^2*(2*p + 1)*x^2 + 2*a*b*p*x - a^2)*(b*x + a)^(2*p)*a*d*e/((2*p^2 + 3*p + 1)*b^2) + 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)*d*e/((4*p^3 + 12*p^2 + 11*p + 3)*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)*a*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^2/((4*p^4 + 20*p^3 + 35*p^2 + 25*p + 6)*b^3)","B",0
2160,1,206,0,0.539821," ","integrate((b*x+a)*(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} a 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} d}{2 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} b} + \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} a e}{2 \, {\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}{{\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{2}}"," ",0,"(b*x + a)*(b*x + a)^(2*p)*a*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)*d/((2*p^2 + 3*p + 1)*b) + 1/2*(b^2*(2*p + 1)*x^2 + 2*a*b*p*x - a^2)*(b*x + a)^(2*p)*a*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/((4*p^3 + 12*p^2 + 11*p + 3)*b^2)","B",0
2161,1,30,0,0.646125," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p + 1}}{2 \, b {\left(p + 1\right)}}"," ",0,"1/2*(b^2*x^2 + 2*a*b*x + a^2)^(p + 1)/(b*(p + 1))","A",0
2162,0,0,0,0.000000," ","integrate((b*x+a)*(b^2*x^2+2*a*b*x+a^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}^{p}}{e x + d}\,{d x}"," ",0,"integrate((b*x + a)*(b^2*x^2 + 2*a*b*x + a^2)^p/(e*x + d), x)","F",0
2163,1,2113,0,1.014155," ","integrate((B*x+A)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{{\left(b^{2} c^{m} {\left(m + 1\right)} x^{2} + a b c^{m} m x - a^{2} c^{m}\right)} {\left(b x + a\right)}^{m} B a^{6}}{{\left(m^{2} + 3 \, m + 2\right)} b^{2}} + \frac{6 \, {\left(b^{2} c^{m} {\left(m + 1\right)} x^{2} + a b c^{m} m x - a^{2} c^{m}\right)} {\left(b x + a\right)}^{m} A a^{5}}{{\left(m^{2} + 3 \, m + 2\right)} b} + \frac{6 \, {\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} c^{m} x^{3} + {\left(m^{2} + m\right)} a b^{2} c^{m} x^{2} - 2 \, a^{2} b c^{m} m x + 2 \, a^{3} c^{m}\right)} {\left(b x + a\right)}^{m} B a^{5}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{2}} + \frac{15 \, {\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} c^{m} x^{3} + {\left(m^{2} + m\right)} a b^{2} c^{m} x^{2} - 2 \, a^{2} b c^{m} m x + 2 \, a^{3} c^{m}\right)} {\left(b x + a\right)}^{m} A a^{4}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b} + \frac{{\left(b c x + a c\right)}^{m + 1} A a^{6}}{b c {\left(m + 1\right)}} + \frac{15 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{4} c^{m} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a b^{3} c^{m} x^{3} - 3 \, {\left(m^{2} + m\right)} a^{2} b^{2} c^{m} x^{2} + 6 \, a^{3} b c^{m} m x - 6 \, a^{4} c^{m}\right)} {\left(b x + a\right)}^{m} B a^{4}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b^{2}} + \frac{20 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{4} c^{m} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a b^{3} c^{m} x^{3} - 3 \, {\left(m^{2} + m\right)} a^{2} b^{2} c^{m} x^{2} + 6 \, a^{3} b c^{m} m x - 6 \, a^{4} c^{m}\right)} {\left(b x + a\right)}^{m} A a^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b} + \frac{20 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b^{5} c^{m} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a b^{4} c^{m} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{2} b^{3} c^{m} x^{3} + 12 \, {\left(m^{2} + m\right)} a^{3} b^{2} c^{m} x^{2} - 24 \, a^{4} b c^{m} m x + 24 \, a^{5} c^{m}\right)} {\left(b x + a\right)}^{m} B a^{3}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} b^{2}} + \frac{15 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b^{5} c^{m} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a b^{4} c^{m} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{2} b^{3} c^{m} x^{3} + 12 \, {\left(m^{2} + m\right)} a^{3} b^{2} c^{m} x^{2} - 24 \, a^{4} b c^{m} m x + 24 \, a^{5} c^{m}\right)} {\left(b x + a\right)}^{m} A a^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} b} + \frac{15 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} b^{6} c^{m} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} a b^{5} c^{m} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a^{2} b^{4} c^{m} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{3} b^{3} c^{m} x^{3} - 60 \, {\left(m^{2} + m\right)} a^{4} b^{2} c^{m} x^{2} + 120 \, a^{5} b c^{m} m x - 120 \, a^{6} c^{m}\right)} {\left(b x + a\right)}^{m} B a^{2}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} b^{2}} + \frac{6 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} b^{6} c^{m} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} a b^{5} c^{m} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a^{2} b^{4} c^{m} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{3} b^{3} c^{m} x^{3} - 60 \, {\left(m^{2} + m\right)} a^{4} b^{2} c^{m} x^{2} + 120 \, a^{5} b c^{m} m x - 120 \, a^{6} c^{m}\right)} {\left(b x + a\right)}^{m} A a}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} b} + \frac{6 \, {\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} b^{7} c^{m} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} a b^{6} c^{m} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} a^{2} b^{5} c^{m} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a^{3} b^{4} c^{m} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{4} b^{3} c^{m} x^{3} + 360 \, {\left(m^{2} + m\right)} a^{5} b^{2} c^{m} x^{2} - 720 \, a^{6} b c^{m} m x + 720 \, a^{7} c^{m}\right)} {\left(b x + a\right)}^{m} B a}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} b^{2}} + \frac{{\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} b^{7} c^{m} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} a b^{6} c^{m} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} a^{2} b^{5} c^{m} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a^{3} b^{4} c^{m} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{4} b^{3} c^{m} x^{3} + 360 \, {\left(m^{2} + m\right)} a^{5} b^{2} c^{m} x^{2} - 720 \, a^{6} b c^{m} m x + 720 \, a^{7} c^{m}\right)} {\left(b x + a\right)}^{m} A}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} b} + \frac{{\left({\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} b^{8} c^{m} x^{8} + {\left(m^{7} + 21 \, m^{6} + 175 \, m^{5} + 735 \, m^{4} + 1624 \, m^{3} + 1764 \, m^{2} + 720 \, m\right)} a b^{7} c^{m} x^{7} - 7 \, {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} a^{2} b^{6} c^{m} x^{6} + 42 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} a^{3} b^{5} c^{m} x^{5} - 210 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a^{4} b^{4} c^{m} x^{4} + 840 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{5} b^{3} c^{m} x^{3} - 2520 \, {\left(m^{2} + m\right)} a^{6} b^{2} c^{m} x^{2} + 5040 \, a^{7} b c^{m} m x - 5040 \, a^{8} c^{m}\right)} {\left(b x + a\right)}^{m} B}{{\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)} b^{2}}"," ",0,"(b^2*c^m*(m + 1)*x^2 + a*b*c^m*m*x - a^2*c^m)*(b*x + a)^m*B*a^6/((m^2 + 3*m + 2)*b^2) + 6*(b^2*c^m*(m + 1)*x^2 + a*b*c^m*m*x - a^2*c^m)*(b*x + a)^m*A*a^5/((m^2 + 3*m + 2)*b) + 6*((m^2 + 3*m + 2)*b^3*c^m*x^3 + (m^2 + m)*a*b^2*c^m*x^2 - 2*a^2*b*c^m*m*x + 2*a^3*c^m)*(b*x + a)^m*B*a^5/((m^3 + 6*m^2 + 11*m + 6)*b^2) + 15*((m^2 + 3*m + 2)*b^3*c^m*x^3 + (m^2 + m)*a*b^2*c^m*x^2 - 2*a^2*b*c^m*m*x + 2*a^3*c^m)*(b*x + a)^m*A*a^4/((m^3 + 6*m^2 + 11*m + 6)*b) + (b*c*x + a*c)^(m + 1)*A*a^6/(b*c*(m + 1)) + 15*((m^3 + 6*m^2 + 11*m + 6)*b^4*c^m*x^4 + (m^3 + 3*m^2 + 2*m)*a*b^3*c^m*x^3 - 3*(m^2 + m)*a^2*b^2*c^m*x^2 + 6*a^3*b*c^m*m*x - 6*a^4*c^m)*(b*x + a)^m*B*a^4/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^2) + 20*((m^3 + 6*m^2 + 11*m + 6)*b^4*c^m*x^4 + (m^3 + 3*m^2 + 2*m)*a*b^3*c^m*x^3 - 3*(m^2 + m)*a^2*b^2*c^m*x^2 + 6*a^3*b*c^m*m*x - 6*a^4*c^m)*(b*x + a)^m*A*a^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b) + 20*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^5*c^m*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*a*b^4*c^m*x^4 - 4*(m^3 + 3*m^2 + 2*m)*a^2*b^3*c^m*x^3 + 12*(m^2 + m)*a^3*b^2*c^m*x^2 - 24*a^4*b*c^m*m*x + 24*a^5*c^m)*(b*x + a)^m*B*a^3/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*b^2) + 15*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^5*c^m*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*a*b^4*c^m*x^4 - 4*(m^3 + 3*m^2 + 2*m)*a^2*b^3*c^m*x^3 + 12*(m^2 + m)*a^3*b^2*c^m*x^2 - 24*a^4*b*c^m*m*x + 24*a^5*c^m)*(b*x + a)^m*A*a^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*b) + 15*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*b^6*c^m*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*a*b^5*c^m*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*a^2*b^4*c^m*x^4 + 20*(m^3 + 3*m^2 + 2*m)*a^3*b^3*c^m*x^3 - 60*(m^2 + m)*a^4*b^2*c^m*x^2 + 120*a^5*b*c^m*m*x - 120*a^6*c^m)*(b*x + a)^m*B*a^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*b^2) + 6*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*b^6*c^m*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*a*b^5*c^m*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*a^2*b^4*c^m*x^4 + 20*(m^3 + 3*m^2 + 2*m)*a^3*b^3*c^m*x^3 - 60*(m^2 + m)*a^4*b^2*c^m*x^2 + 120*a^5*b*c^m*m*x - 120*a^6*c^m)*(b*x + a)^m*A*a/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*b) + 6*((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*b^7*c^m*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*a*b^6*c^m*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*a^2*b^5*c^m*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*a^3*b^4*c^m*x^4 - 120*(m^3 + 3*m^2 + 2*m)*a^4*b^3*c^m*x^3 + 360*(m^2 + m)*a^5*b^2*c^m*x^2 - 720*a^6*b*c^m*m*x + 720*a^7*c^m)*(b*x + a)^m*B*a/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*b^2) + ((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*b^7*c^m*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*a*b^6*c^m*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*a^2*b^5*c^m*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*a^3*b^4*c^m*x^4 - 120*(m^3 + 3*m^2 + 2*m)*a^4*b^3*c^m*x^3 + 360*(m^2 + m)*a^5*b^2*c^m*x^2 - 720*a^6*b*c^m*m*x + 720*a^7*c^m)*(b*x + a)^m*A/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*b) + ((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*b^8*c^m*x^8 + (m^7 + 21*m^6 + 175*m^5 + 735*m^4 + 1624*m^3 + 1764*m^2 + 720*m)*a*b^7*c^m*x^7 - 7*(m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*a^2*b^6*c^m*x^6 + 42*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*a^3*b^5*c^m*x^5 - 210*(m^4 + 6*m^3 + 11*m^2 + 6*m)*a^4*b^4*c^m*x^4 + 840*(m^3 + 3*m^2 + 2*m)*a^5*b^3*c^m*x^3 - 2520*(m^2 + m)*a^6*b^2*c^m*x^2 + 5040*a^7*b*c^m*m*x - 5040*a^8*c^m)*(b*x + a)^m*B/((m^8 + 36*m^7 + 546*m^6 + 4536*m^5 + 22449*m^4 + 67284*m^3 + 118124*m^2 + 109584*m + 40320)*b^2)","B",0
2164,1,216,0,0.739132," ","integrate((B*x+A)*(b*c*x+a*c)^m/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{{\left(b c^{m} {\left(m - 5\right)} x - a c^{m}\right)} {\left(b x + a\right)}^{m} B}{{\left(m^{2} - 9 \, m + 20\right)} b^{7} x^{5} + 5 \, {\left(m^{2} - 9 \, m + 20\right)} a b^{6} x^{4} + 10 \, {\left(m^{2} - 9 \, m + 20\right)} a^{2} b^{5} x^{3} + 10 \, {\left(m^{2} - 9 \, m + 20\right)} a^{3} b^{4} x^{2} + 5 \, {\left(m^{2} - 9 \, m + 20\right)} a^{4} b^{3} x + {\left(m^{2} - 9 \, m + 20\right)} a^{5} b^{2}} + \frac{{\left(b x + a\right)}^{m} A c^{m}}{b^{6} {\left(m - 5\right)} x^{5} + 5 \, a b^{5} {\left(m - 5\right)} x^{4} + 10 \, a^{2} b^{4} {\left(m - 5\right)} x^{3} + 10 \, a^{3} b^{3} {\left(m - 5\right)} x^{2} + 5 \, a^{4} b^{2} {\left(m - 5\right)} x + a^{5} b {\left(m - 5\right)}}"," ",0,"(b*c^m*(m - 5)*x - a*c^m)*(b*x + a)^m*B/((m^2 - 9*m + 20)*b^7*x^5 + 5*(m^2 - 9*m + 20)*a*b^6*x^4 + 10*(m^2 - 9*m + 20)*a^2*b^5*x^3 + 10*(m^2 - 9*m + 20)*a^3*b^4*x^2 + 5*(m^2 - 9*m + 20)*a^4*b^3*x + (m^2 - 9*m + 20)*a^5*b^2) + (b*x + a)^m*A*c^m/(b^6*(m - 5)*x^5 + 5*a*b^5*(m - 5)*x^4 + 10*a^2*b^4*(m - 5)*x^3 + 10*a^3*b^3*(m - 5)*x^2 + 5*a^4*b^2*(m - 5)*x + a^5*b*(m - 5))","B",0
2165,1,180,0,0.678905," ","integrate((B*x+A)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{4} c^{m} x^{4} + 4 \, a b^{3} c^{m} x^{3} + 6 \, a^{2} b^{2} c^{m} x^{2} + 4 \, a^{3} b c^{m} x + a^{4} c^{m}\right)} {\left(b x + a\right)}^{m} A}{b {\left(m + 4\right)}} + \frac{{\left(b^{5} c^{m} {\left(m + 4\right)} x^{5} + a b^{4} c^{m} {\left(4 \, m + 15\right)} x^{4} + 2 \, a^{2} b^{3} c^{m} {\left(3 \, m + 10\right)} x^{3} + 2 \, a^{3} b^{2} c^{m} {\left(2 \, m + 5\right)} x^{2} + a^{4} b c^{m} m x - a^{5} c^{m}\right)} {\left(b x + a\right)}^{m} B}{{\left(m^{2} + 9 \, m + 20\right)} b^{2}}"," ",0,"(b^4*c^m*x^4 + 4*a*b^3*c^m*x^3 + 6*a^2*b^2*c^m*x^2 + 4*a^3*b*c^m*x + a^4*c^m)*(b*x + a)^m*A/(b*(m + 4)) + (b^5*c^m*(m + 4)*x^5 + a*b^4*c^m*(4*m + 15)*x^4 + 2*a^2*b^3*c^m*(3*m + 10)*x^3 + 2*a^3*b^2*c^m*(2*m + 5)*x^2 + a^4*b*c^m*m*x - a^5*c^m)*(b*x + a)^m*B/((m^2 + 9*m + 20)*b^2)","A",0
2166,1,117,0,0.750475," ","integrate((B*x+A)*(b*c*x+a*c)^m/(b^2*x^2+2*a*b*x+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b c^{m} {\left(m - 2\right)} x - a c^{m}\right)} {\left(b x + a\right)}^{m} B}{{\left(m^{2} - 3 \, m + 2\right)} b^{4} x^{2} + 2 \, {\left(m^{2} - 3 \, m + 2\right)} a b^{3} x + {\left(m^{2} - 3 \, m + 2\right)} a^{2} b^{2}} + \frac{{\left(b x + a\right)}^{m} A c^{m}}{b^{3} {\left(m - 2\right)} x^{2} + 2 \, a b^{2} {\left(m - 2\right)} x + a^{2} b {\left(m - 2\right)}}"," ",0,"(b*c^m*(m - 2)*x - a*c^m)*(b*x + a)^m*B/((m^2 - 3*m + 2)*b^4*x^2 + 2*(m^2 - 3*m + 2)*a*b^3*x + (m^2 - 3*m + 2)*a^2*b^2) + (b*x + a)^m*A*c^m/(b^3*(m - 2)*x^2 + 2*a*b^2*(m - 2)*x + a^2*b*(m - 2))","A",0
2167,1,128,0,0.671135," ","integrate((b*c*x+a*c)^m*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b c^{m} x + a c^{m}\right)} f e^{\left(m \log\left(b x + a\right) + 2 \, p \log\left(b x + a\right)\right)}}{b {\left(m + 2 \, p + 1\right)}} + \frac{{\left(b^{2} c^{m} {\left(m + 2 \, p + 1\right)} x^{2} + a b c^{m} {\left(m + 2 \, p\right)} x - a^{2} c^{m}\right)} g e^{\left(m \log\left(b x + a\right) + 2 \, p \log\left(b x + a\right)\right)}}{{\left(m^{2} + m {\left(4 \, p + 3\right)} + 4 \, p^{2} + 6 \, p + 2\right)} b^{2}}"," ",0,"(b*c^m*x + a*c^m)*f*e^(m*log(b*x + a) + 2*p*log(b*x + a))/(b*(m + 2*p + 1)) + (b^2*c^m*(m + 2*p + 1)*x^2 + a*b*c^m*(m + 2*p)*x - a^2*c^m)*g*e^(m*log(b*x + a) + 2*p*log(b*x + a))/((m^2 + m*(4*p + 3) + 4*p^2 + 6*p + 2)*b^2)","A",0
2168,1,101,0,0.582606," ","integrate((b*c*x+a*c)^(-3-2*p)*(g*x+f)*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","-\frac{{\left(2 \, b x + a\right)} g}{2 \, {\left(b^{4} c^{2 \, p + 3} x^{2} + 2 \, a b^{3} c^{2 \, p + 3} x + a^{2} b^{2} c^{2 \, p + 3}\right)}} - \frac{f}{2 \, {\left(b^{3} c^{2 \, p + 3} x^{2} + 2 \, a b^{2} c^{2 \, p + 3} x + a^{2} b c^{2 \, p + 3}\right)}}"," ",0,"-1/2*(2*b*x + a)*g/(b^4*c^(2*p + 3)*x^2 + 2*a*b^3*c^(2*p + 3)*x + a^2*b^2*c^(2*p + 3)) - 1/2*f/(b^3*c^(2*p + 3)*x^2 + 2*a*b^2*c^(2*p + 3)*x + a^2*b*c^(2*p + 3))","A",0
2169,1,127,0,0.566199," ","integrate((b*x+a)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b c^{m} x + a c^{m}\right)} a e^{\left(m \log\left(b x + a\right) + 2 \, p \log\left(b x + a\right)\right)}}{b {\left(m + 2 \, p + 1\right)}} + \frac{{\left(b^{2} c^{m} {\left(m + 2 \, p + 1\right)} x^{2} + a b c^{m} {\left(m + 2 \, p\right)} x - a^{2} c^{m}\right)} e^{\left(m \log\left(b x + a\right) + 2 \, p \log\left(b x + a\right)\right)}}{{\left(m^{2} + m {\left(4 \, p + 3\right)} + 4 \, p^{2} + 6 \, p + 2\right)} b}"," ",0,"(b*c^m*x + a*c^m)*a*e^(m*log(b*x + a) + 2*p*log(b*x + a))/(b*(m + 2*p + 1)) + (b^2*c^m*(m + 2*p + 1)*x^2 + a*b*c^m*(m + 2*p)*x - a^2*c^m)*e^(m*log(b*x + a) + 2*p*log(b*x + a))/((m^2 + m*(4*p + 3) + 4*p^2 + 6*p + 2)*b)","B",0
2170,1,1221,0,0.914673," ","integrate((b*x+a)*(b*c*x+a*c)^m*(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{7 \, {\left(b^{2} c^{m} {\left(m + 1\right)} x^{2} + a b c^{m} m x - a^{2} c^{m}\right)} {\left(b x + a\right)}^{m} a^{6}}{{\left(m^{2} + 3 \, m + 2\right)} b} + \frac{21 \, {\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} c^{m} x^{3} + {\left(m^{2} + m\right)} a b^{2} c^{m} x^{2} - 2 \, a^{2} b c^{m} m x + 2 \, a^{3} c^{m}\right)} {\left(b x + a\right)}^{m} a^{5}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b} + \frac{{\left(b c x + a c\right)}^{m + 1} a^{7}}{b c {\left(m + 1\right)}} + \frac{35 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{4} c^{m} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a b^{3} c^{m} x^{3} - 3 \, {\left(m^{2} + m\right)} a^{2} b^{2} c^{m} x^{2} + 6 \, a^{3} b c^{m} m x - 6 \, a^{4} c^{m}\right)} {\left(b x + a\right)}^{m} a^{4}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b} + \frac{35 \, {\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b^{5} c^{m} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a b^{4} c^{m} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{2} b^{3} c^{m} x^{3} + 12 \, {\left(m^{2} + m\right)} a^{3} b^{2} c^{m} x^{2} - 24 \, a^{4} b c^{m} m x + 24 \, a^{5} c^{m}\right)} {\left(b x + a\right)}^{m} a^{3}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} b} + \frac{21 \, {\left({\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} b^{6} c^{m} x^{6} + {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} a b^{5} c^{m} x^{5} - 5 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a^{2} b^{4} c^{m} x^{4} + 20 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{3} b^{3} c^{m} x^{3} - 60 \, {\left(m^{2} + m\right)} a^{4} b^{2} c^{m} x^{2} + 120 \, a^{5} b c^{m} m x - 120 \, a^{6} c^{m}\right)} {\left(b x + a\right)}^{m} a^{2}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} b} + \frac{7 \, {\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} b^{7} c^{m} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} a b^{6} c^{m} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} a^{2} b^{5} c^{m} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a^{3} b^{4} c^{m} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{4} b^{3} c^{m} x^{3} + 360 \, {\left(m^{2} + m\right)} a^{5} b^{2} c^{m} x^{2} - 720 \, a^{6} b c^{m} m x + 720 \, a^{7} c^{m}\right)} {\left(b x + a\right)}^{m} a}{{\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} b} + \frac{{\left({\left(m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040\right)} b^{8} c^{m} x^{8} + {\left(m^{7} + 21 \, m^{6} + 175 \, m^{5} + 735 \, m^{4} + 1624 \, m^{3} + 1764 \, m^{2} + 720 \, m\right)} a b^{7} c^{m} x^{7} - 7 \, {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} a^{2} b^{6} c^{m} x^{6} + 42 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} a^{3} b^{5} c^{m} x^{5} - 210 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} a^{4} b^{4} c^{m} x^{4} + 840 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a^{5} b^{3} c^{m} x^{3} - 2520 \, {\left(m^{2} + m\right)} a^{6} b^{2} c^{m} x^{2} + 5040 \, a^{7} b c^{m} m x - 5040 \, a^{8} c^{m}\right)} {\left(b x + a\right)}^{m}}{{\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)} b}"," ",0,"7*(b^2*c^m*(m + 1)*x^2 + a*b*c^m*m*x - a^2*c^m)*(b*x + a)^m*a^6/((m^2 + 3*m + 2)*b) + 21*((m^2 + 3*m + 2)*b^3*c^m*x^3 + (m^2 + m)*a*b^2*c^m*x^2 - 2*a^2*b*c^m*m*x + 2*a^3*c^m)*(b*x + a)^m*a^5/((m^3 + 6*m^2 + 11*m + 6)*b) + (b*c*x + a*c)^(m + 1)*a^7/(b*c*(m + 1)) + 35*((m^3 + 6*m^2 + 11*m + 6)*b^4*c^m*x^4 + (m^3 + 3*m^2 + 2*m)*a*b^3*c^m*x^3 - 3*(m^2 + m)*a^2*b^2*c^m*x^2 + 6*a^3*b*c^m*m*x - 6*a^4*c^m)*(b*x + a)^m*a^4/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b) + 35*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^5*c^m*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*a*b^4*c^m*x^4 - 4*(m^3 + 3*m^2 + 2*m)*a^2*b^3*c^m*x^3 + 12*(m^2 + m)*a^3*b^2*c^m*x^2 - 24*a^4*b*c^m*m*x + 24*a^5*c^m)*(b*x + a)^m*a^3/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*b) + 21*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*b^6*c^m*x^6 + (m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*a*b^5*c^m*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*a^2*b^4*c^m*x^4 + 20*(m^3 + 3*m^2 + 2*m)*a^3*b^3*c^m*x^3 - 60*(m^2 + m)*a^4*b^2*c^m*x^2 + 120*a^5*b*c^m*m*x - 120*a^6*c^m)*(b*x + a)^m*a^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*b) + 7*((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*b^7*c^m*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*a*b^6*c^m*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*a^2*b^5*c^m*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*a^3*b^4*c^m*x^4 - 120*(m^3 + 3*m^2 + 2*m)*a^4*b^3*c^m*x^3 + 360*(m^2 + m)*a^5*b^2*c^m*x^2 - 720*a^6*b*c^m*m*x + 720*a^7*c^m)*(b*x + a)^m*a/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*b) + ((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*b^8*c^m*x^8 + (m^7 + 21*m^6 + 175*m^5 + 735*m^4 + 1624*m^3 + 1764*m^2 + 720*m)*a*b^7*c^m*x^7 - 7*(m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*a^2*b^6*c^m*x^6 + 42*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*a^3*b^5*c^m*x^5 - 210*(m^4 + 6*m^3 + 11*m^2 + 6*m)*a^4*b^4*c^m*x^4 + 840*(m^3 + 3*m^2 + 2*m)*a^5*b^3*c^m*x^3 - 2520*(m^2 + m)*a^6*b^2*c^m*x^2 + 5040*a^7*b*c^m*m*x - 5040*a^8*c^m)*(b*x + a)^m/((m^8 + 36*m^7 + 546*m^6 + 4536*m^5 + 22449*m^4 + 67284*m^3 + 118124*m^2 + 109584*m + 40320)*b)","B",0
2171,1,216,0,0.845711," ","integrate((b*x+a)*(b*c*x+a*c)^m/(b^2*x^2+2*a*b*x+a^2)^3,x, algorithm=""maxima"")","\frac{{\left(b c^{m} {\left(m - 5\right)} x - a c^{m}\right)} {\left(b x + a\right)}^{m} b}{{\left(m^{2} - 9 \, m + 20\right)} b^{7} x^{5} + 5 \, {\left(m^{2} - 9 \, m + 20\right)} a b^{6} x^{4} + 10 \, {\left(m^{2} - 9 \, m + 20\right)} a^{2} b^{5} x^{3} + 10 \, {\left(m^{2} - 9 \, m + 20\right)} a^{3} b^{4} x^{2} + 5 \, {\left(m^{2} - 9 \, m + 20\right)} a^{4} b^{3} x + {\left(m^{2} - 9 \, m + 20\right)} a^{5} b^{2}} + \frac{{\left(b x + a\right)}^{m} a c^{m}}{b^{6} {\left(m - 5\right)} x^{5} + 5 \, a b^{5} {\left(m - 5\right)} x^{4} + 10 \, a^{2} b^{4} {\left(m - 5\right)} x^{3} + 10 \, a^{3} b^{3} {\left(m - 5\right)} x^{2} + 5 \, a^{4} b^{2} {\left(m - 5\right)} x + a^{5} b {\left(m - 5\right)}}"," ",0,"(b*c^m*(m - 5)*x - a*c^m)*(b*x + a)^m*b/((m^2 - 9*m + 20)*b^7*x^5 + 5*(m^2 - 9*m + 20)*a*b^6*x^4 + 10*(m^2 - 9*m + 20)*a^2*b^5*x^3 + 10*(m^2 - 9*m + 20)*a^3*b^4*x^2 + 5*(m^2 - 9*m + 20)*a^4*b^3*x + (m^2 - 9*m + 20)*a^5*b^2) + (b*x + a)^m*a*c^m/(b^6*(m - 5)*x^5 + 5*a*b^5*(m - 5)*x^4 + 10*a^2*b^4*(m - 5)*x^3 + 10*a^3*b^3*(m - 5)*x^2 + 5*a^4*b^2*(m - 5)*x + a^5*b*(m - 5))","B",0
2172,-2,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2173,-2,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2174,-2,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2175,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2176,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2177,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2178,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2179,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2180,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2181,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2182,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2183,-2,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2184,-2,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2185,-2,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2186,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2187,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2188,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2189,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2190,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2191,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2192,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2193,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2194,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2195,-2,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2196,-2,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2197,-2,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2198,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2199,1,1751,0,1.759912," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{5 \, b c^{3} d^{3} f \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{4 \, \left(-c\right)^{\frac{3}{2}}} - \frac{5 \, c^{4} d^{4} f \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{8 \, \left(-c\right)^{\frac{3}{2}} e} - \frac{15 \, b^{2} c^{2} d^{2} e f \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{16 \, \left(-c\right)^{\frac{3}{2}}} + \frac{5 \, b^{3} c d e^{2} f \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{16 \, \left(-c\right)^{\frac{3}{2}}} - \frac{5 \, b^{4} e^{3} f \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{128 \, \left(-c\right)^{\frac{3}{2}}} + \frac{c^{4} d^{5} g \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{4 \, \left(-c\right)^{\frac{3}{2}} e^{2}} - \frac{5 \, b c^{3} d^{4} g \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{16 \, \left(-c\right)^{\frac{3}{2}} e} + \frac{5 \, b^{3} c d^{2} e g \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{32 \, \left(-c\right)^{\frac{3}{2}}} - \frac{5 \, b^{4} d e^{2} g \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{64 \, \left(-c\right)^{\frac{3}{2}}} + \frac{3 \, b^{5} e^{3} g \arcsin\left(\frac{2 \, c e x}{2 \, c d - b e} + \frac{4 \, c d}{2 \, c d - b e} - \frac{b e}{2 \, c d - b e}\right)}{256 \, \left(-c\right)^{\frac{3}{2}} c} + \frac{5}{8} \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} c^{2} d^{2} f x - \frac{5}{8} \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b c d e f x + \frac{5}{32} \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b^{2} e^{2} f x + \frac{1}{16} \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b c d^{2} g x - \frac{\sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} c^{2} d^{3} g x}{4 \, e} + \frac{1}{8} \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b^{2} d e g x - \frac{3 \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b^{3} e^{2} g x}{64 \, c} - \frac{25}{16} \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b c d^{2} f + \frac{5 \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} c^{2} d^{3} f}{4 \, e} + \frac{5}{8} \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b^{2} d e f - \frac{5 \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b^{3} e^{2} f}{64 \, c} + \frac{7}{32} \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b^{2} d^{2} g - \frac{\sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} c^{2} d^{4} g}{2 \, e^{2}} + \frac{\sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b c d^{3} g}{4 \, e} - \frac{5 \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b^{3} d e g}{32 \, c} + \frac{3 \, \sqrt{c e^{2} x^{2} + 4 \, c d e x - b e^{2} x + 3 \, c d^{2} - b d e} b^{4} e^{2} g}{128 \, c^{2}} - \frac{1}{8} \, {\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} b g x + \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} c d g x}{4 \, e} - \frac{5}{24} \, {\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} b f + \frac{5 \, {\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} c d f}{12 \, e} - \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} b^{2} g}{16 \, c} - \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} d g}{4 \, {\left(e^{3} x + d e^{2}\right)}} - \frac{5 \, {\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} c d^{2} g}{12 \, e^{2}} + \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} b d g}{3 \, e} + \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} f}{4 \, {\left(e^{2} x + d e\right)}} + \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} g}{5 \, e^{2}}"," ",0,"5/4*b*c^3*d^3*f*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/(-c)^(3/2) - 5/8*c^4*d^4*f*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/((-c)^(3/2)*e) - 15/16*b^2*c^2*d^2*e*f*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/(-c)^(3/2) + 5/16*b^3*c*d*e^2*f*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/(-c)^(3/2) - 5/128*b^4*e^3*f*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/(-c)^(3/2) + 1/4*c^4*d^5*g*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/((-c)^(3/2)*e^2) - 5/16*b*c^3*d^4*g*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/((-c)^(3/2)*e) + 5/32*b^3*c*d^2*e*g*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/(-c)^(3/2) - 5/64*b^4*d*e^2*g*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/(-c)^(3/2) + 3/256*b^5*e^3*g*arcsin(2*c*e*x/(2*c*d - b*e) + 4*c*d/(2*c*d - b*e) - b*e/(2*c*d - b*e))/((-c)^(3/2)*c) + 5/8*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*c^2*d^2*f*x - 5/8*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b*c*d*e*f*x + 5/32*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b^2*e^2*f*x + 1/16*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b*c*d^2*g*x - 1/4*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*c^2*d^3*g*x/e + 1/8*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b^2*d*e*g*x - 3/64*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b^3*e^2*g*x/c - 25/16*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b*c*d^2*f + 5/4*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*c^2*d^3*f/e + 5/8*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b^2*d*e*f - 5/64*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b^3*e^2*f/c + 7/32*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b^2*d^2*g - 1/2*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*c^2*d^4*g/e^2 + 1/4*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b*c*d^3*g/e - 5/32*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b^3*d*e*g/c + 3/128*sqrt(c*e^2*x^2 + 4*c*d*e*x - b*e^2*x + 3*c*d^2 - b*d*e)*b^4*e^2*g/c^2 - 1/8*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*b*g*x + 1/4*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*c*d*g*x/e - 5/24*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*b*f + 5/12*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*c*d*f/e - 1/16*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*b^2*g/c - 1/4*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*d*g/(e^3*x + d*e^2) - 5/12*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*c*d^2*g/e^2 + 1/3*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*b*d*g/e + 1/4*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*f/(e^2*x + d*e) + 1/5*(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*g/e^2","B",0
2200,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2201,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2202,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2203,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2204,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2205,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2206,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2207,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2208,-2,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2209,-2,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2210,-2,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2211,-2,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2212,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2213,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2214,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^3/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2215,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^4/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2216,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^5/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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
2217,-2,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2218,-2,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2219,-2,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2220,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2221,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2222,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^3/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2223,-2,0,0,0.000000," ","integrate((e*x+d)^5*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2224,-2,0,0,0.000000," ","integrate((e*x+d)^4*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2225,-2,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2226,-2,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2227,-2,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2228,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2229,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^2/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2230,-2,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^3/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
2231,1,501,0,1.017148," ","integrate((e*x+d)^(5/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, c^{4} e^{4} x^{4} - 319 \, c^{4} d^{4} + 637 \, b c^{3} d^{3} e - 438 \, b^{2} c^{2} d^{2} e^{2} + 136 \, b^{3} c d e^{3} - 16 \, b^{4} e^{4} + 5 \, {\left(26 \, c^{4} d e^{3} + b c^{3} e^{4}\right)} x^{3} + 3 \, {\left(52 \, c^{4} d^{2} e^{2} + 13 \, b c^{3} d e^{3} - 2 \, b^{2} c^{2} e^{4}\right)} x^{2} - {\left(2 \, c^{4} d^{3} e - 159 \, b c^{3} d^{2} e^{2} + 60 \, b^{2} c^{2} d e^{3} - 8 \, b^{3} c e^{4}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} f}{315 \, {\left(c^{4} e^{2} x + c^{4} d e\right)}} + \frac{2 \, {\left(315 \, c^{5} e^{5} x^{5} - 1910 \, c^{5} d^{5} + 6052 \, b c^{4} d^{4} e - 7286 \, b^{2} c^{3} d^{3} e^{2} + 4184 \, b^{3} c^{2} d^{2} e^{3} - 1168 \, b^{4} c d e^{4} + 128 \, b^{5} e^{5} + 35 \, {\left(32 \, c^{5} d e^{4} + b c^{4} e^{5}\right)} x^{4} + 5 \, {\left(256 \, c^{5} d^{2} e^{3} + 49 \, b c^{4} d e^{4} - 8 \, b^{2} c^{3} e^{5}\right)} x^{3} + 3 \, {\left(50 \, c^{5} d^{3} e^{2} + 279 \, b c^{4} d^{2} e^{3} - 114 \, b^{2} c^{3} d e^{4} + 16 \, b^{3} c^{2} e^{5}\right)} x^{2} - {\left(955 \, c^{5} d^{4} e - 2071 \, b c^{4} d^{3} e^{2} + 1572 \, b^{2} c^{3} d^{2} e^{3} - 520 \, b^{3} c^{2} d e^{4} + 64 \, b^{4} c e^{5}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} g}{3465 \, {\left(c^{5} e^{3} x + c^{5} d e^{2}\right)}}"," ",0,"2/315*(35*c^4*e^4*x^4 - 319*c^4*d^4 + 637*b*c^3*d^3*e - 438*b^2*c^2*d^2*e^2 + 136*b^3*c*d*e^3 - 16*b^4*e^4 + 5*(26*c^4*d*e^3 + b*c^3*e^4)*x^3 + 3*(52*c^4*d^2*e^2 + 13*b*c^3*d*e^3 - 2*b^2*c^2*e^4)*x^2 - (2*c^4*d^3*e - 159*b*c^3*d^2*e^2 + 60*b^2*c^2*d*e^3 - 8*b^3*c*e^4)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*f/(c^4*e^2*x + c^4*d*e) + 2/3465*(315*c^5*e^5*x^5 - 1910*c^5*d^5 + 6052*b*c^4*d^4*e - 7286*b^2*c^3*d^3*e^2 + 4184*b^3*c^2*d^2*e^3 - 1168*b^4*c*d*e^4 + 128*b^5*e^5 + 35*(32*c^5*d*e^4 + b*c^4*e^5)*x^4 + 5*(256*c^5*d^2*e^3 + 49*b*c^4*d*e^4 - 8*b^2*c^3*e^5)*x^3 + 3*(50*c^5*d^3*e^2 + 279*b*c^4*d^2*e^3 - 114*b^2*c^3*d*e^4 + 16*b^3*c^2*e^5)*x^2 - (955*c^5*d^4*e - 2071*b*c^4*d^3*e^2 + 1572*b^2*c^3*d^2*e^3 - 520*b^3*c^2*d*e^4 + 64*b^4*c*e^5)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*g/(c^5*e^3*x + c^5*d*e^2)","A",0
2232,1,354,0,0.821936," ","integrate((e*x+d)^(3/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, c^{3} e^{3} x^{3} - 71 \, c^{3} d^{3} + 115 \, b c^{2} d^{2} e - 52 \, b^{2} c d e^{2} + 8 \, b^{3} e^{3} + 3 \, {\left(13 \, c^{3} d e^{2} + b c^{2} e^{3}\right)} x^{2} + {\left(17 \, c^{3} d^{2} e + 22 \, b c^{2} d e^{2} - 4 \, b^{2} c e^{3}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} f}{105 \, {\left(c^{3} e^{2} x + c^{3} d e\right)}} + \frac{2 \, {\left(35 \, c^{4} e^{4} x^{4} - 106 \, c^{4} d^{4} + 292 \, b c^{3} d^{3} e - 282 \, b^{2} c^{2} d^{2} e^{2} + 112 \, b^{3} c d e^{3} - 16 \, b^{4} e^{4} + 5 \, {\left(17 \, c^{4} d e^{3} + b c^{3} e^{4}\right)} x^{3} + 3 \, {\left(13 \, c^{4} d^{2} e^{2} + 10 \, b c^{3} d e^{3} - 2 \, b^{2} c^{2} e^{4}\right)} x^{2} - {\left(53 \, c^{4} d^{3} e - 93 \, b c^{3} d^{2} e^{2} + 48 \, b^{2} c^{2} d e^{3} - 8 \, b^{3} c e^{4}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} g}{315 \, {\left(c^{4} e^{3} x + c^{4} d e^{2}\right)}}"," ",0,"2/105*(15*c^3*e^3*x^3 - 71*c^3*d^3 + 115*b*c^2*d^2*e - 52*b^2*c*d*e^2 + 8*b^3*e^3 + 3*(13*c^3*d*e^2 + b*c^2*e^3)*x^2 + (17*c^3*d^2*e + 22*b*c^2*d*e^2 - 4*b^2*c*e^3)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*f/(c^3*e^2*x + c^3*d*e) + 2/315*(35*c^4*e^4*x^4 - 106*c^4*d^4 + 292*b*c^3*d^3*e - 282*b^2*c^2*d^2*e^2 + 112*b^3*c*d*e^3 - 16*b^4*e^4 + 5*(17*c^4*d*e^3 + b*c^3*e^4)*x^3 + 3*(13*c^4*d^2*e^2 + 10*b*c^3*d*e^3 - 2*b^2*c^2*e^4)*x^2 - (53*c^4*d^3*e - 93*b*c^3*d^2*e^2 + 48*b^2*c^2*d*e^3 - 8*b^3*c*e^4)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*g/(c^4*e^3*x + c^4*d*e^2)","A",0
2233,1,236,0,0.787690," ","integrate((e*x+d)^(1/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, c^{2} e^{2} x^{2} - 7 \, c^{2} d^{2} + 9 \, b c d e - 2 \, b^{2} e^{2} + {\left(4 \, c^{2} d e + b c e^{2}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} f}{15 \, {\left(c^{2} e^{2} x + c^{2} d e\right)}} + \frac{2 \, {\left(15 \, c^{3} e^{3} x^{3} - 22 \, c^{3} d^{3} + 52 \, b c^{2} d^{2} e - 38 \, b^{2} c d e^{2} + 8 \, b^{3} e^{3} + 3 \, {\left(6 \, c^{3} d e^{2} + b c^{2} e^{3}\right)} x^{2} - {\left(11 \, c^{3} d^{2} e - 15 \, b c^{2} d e^{2} + 4 \, b^{2} c e^{3}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} g}{105 \, {\left(c^{3} e^{3} x + c^{3} d e^{2}\right)}}"," ",0,"2/15*(3*c^2*e^2*x^2 - 7*c^2*d^2 + 9*b*c*d*e - 2*b^2*e^2 + (4*c^2*d*e + b*c*e^2)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*f/(c^2*e^2*x + c^2*d*e) + 2/105*(15*c^3*e^3*x^3 - 22*c^3*d^3 + 52*b*c^2*d^2*e - 38*b^2*c*d*e^2 + 8*b^3*e^3 + 3*(6*c^3*d*e^2 + b*c^2*e^3)*x^2 - (11*c^3*d^2*e - 15*b*c^2*d*e^2 + 4*b^2*c*e^3)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*g/(c^3*e^3*x + c^3*d*e^2)","A",0
2234,1,112,0,0.670537," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c e x - c d + b e\right)} \sqrt{-c e x + c d - b e} f}{3 \, c e} + \frac{2 \, {\left(3 \, c^{2} e^{2} x^{2} - 2 \, c^{2} d^{2} + 4 \, b c d e - 2 \, b^{2} e^{2} - {\left(c^{2} d e - b c e^{2}\right)} x\right)} \sqrt{-c e x + c d - b e} g}{15 \, c^{2} e^{2}}"," ",0,"2/3*(c*e*x - c*d + b*e)*sqrt(-c*e*x + c*d - b*e)*f/(c*e) + 2/15*(3*c^2*e^2*x^2 - 2*c^2*d^2 + 4*b*c*d*e - 2*b^2*e^2 - (c^2*d*e - b*c*e^2)*x)*sqrt(-c*e*x + c*d - b*e)*g/(c^2*e^2)","A",0
2235,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)*(g*x + f)/(e*x + d)^(3/2), x)","F",0
2236,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)*(g*x + f)/(e*x + d)^(5/2), x)","F",0
2237,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)*(g*x + f)/(e*x + d)^(7/2), x)","F",0
2238,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)*(g*x + f)/(e*x + d)^(9/2), x)","F",0
2239,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)*(g*x + f)/(e*x + d)^(11/2), x)","F",0
2240,1,875,0,1.100159," ","integrate((e*x+d)^(5/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(1155 \, c^{6} e^{6} x^{6} + 9683 \, c^{6} d^{6} - 30382 \, b c^{5} d^{5} e + 37267 \, b^{2} c^{4} d^{4} e^{2} - 23464 \, b^{3} c^{3} d^{3} e^{3} + 8368 \, b^{4} c^{2} d^{2} e^{4} - 1600 \, b^{5} c d e^{5} + 128 \, b^{6} e^{6} + 210 \, {\left(19 \, c^{6} d e^{5} + 7 \, b c^{5} e^{6}\right)} x^{5} + 35 \, {\left(79 \, c^{6} d^{2} e^{4} + 206 \, b c^{5} d e^{5} + b^{2} c^{4} e^{6}\right)} x^{4} - 20 \, {\left(271 \, c^{6} d^{3} e^{3} - 683 \, b c^{5} d^{2} e^{4} - 19 \, b^{2} c^{4} d e^{5} + 2 \, b^{3} c^{3} e^{6}\right)} x^{3} - 3 \, {\left(3169 \, c^{6} d^{4} e^{2} - 3628 \, b c^{5} d^{3} e^{3} - 694 \, b^{2} c^{4} d^{2} e^{4} + 168 \, b^{3} c^{3} d e^{5} - 16 \, b^{4} c^{2} e^{6}\right)} x^{2} - 2 \, {\left(1333 \, c^{6} d^{5} e + 1421 \, b c^{5} d^{4} e^{2} - 4142 \, b^{2} c^{4} d^{3} e^{3} + 1724 \, b^{3} c^{3} d^{2} e^{4} - 368 \, b^{4} c^{2} d e^{5} + 32 \, b^{5} c e^{6}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} f}{15015 \, {\left(c^{5} e^{2} x + c^{5} d e\right)}} - \frac{2 \, {\left(3003 \, c^{7} e^{7} x^{7} + 12686 \, c^{7} d^{7} - 55754 \, b c^{6} d^{6} e + 101034 \, b^{2} c^{5} d^{5} e^{2} - 97998 \, b^{3} c^{4} d^{4} e^{3} + 55296 \, b^{4} c^{3} d^{3} e^{4} - 18336 \, b^{5} c^{2} d^{2} e^{5} + 3328 \, b^{6} c d e^{6} - 256 \, b^{7} e^{7} + 924 \, {\left(11 \, c^{7} d e^{6} + 4 \, b c^{6} e^{7}\right)} x^{6} + 63 \, {\left(111 \, c^{7} d^{2} e^{5} + 278 \, b c^{6} d e^{6} + b^{2} c^{5} e^{7}\right)} x^{5} - 70 \, {\left(175 \, c^{7} d^{3} e^{4} - 453 \, b c^{6} d^{2} e^{5} - 9 \, b^{2} c^{5} d e^{6} + b^{3} c^{4} e^{7}\right)} x^{4} - 5 \, {\left(4087 \, c^{7} d^{4} e^{3} - 4900 \, b c^{6} d^{3} e^{4} - 618 \, b^{2} c^{5} d^{2} e^{5} + 160 \, b^{3} c^{4} d e^{6} - 16 \, b^{4} c^{3} e^{7}\right)} x^{3} - 12 \, {\left(542 \, c^{7} d^{5} e^{2} + 11 \, b c^{6} d^{4} e^{3} - 862 \, b^{2} c^{5} d^{3} e^{4} + 389 \, b^{3} c^{4} d^{2} e^{5} - 88 \, b^{4} c^{3} d e^{6} + 8 \, b^{5} c^{2} e^{7}\right)} x^{2} + {\left(6343 \, c^{7} d^{6} e - 21534 \, b c^{6} d^{5} e^{2} + 28983 \, b^{2} c^{5} d^{4} e^{3} - 20016 \, b^{3} c^{4} d^{3} e^{4} + 7632 \, b^{4} c^{3} d^{2} e^{5} - 1536 \, b^{5} c^{2} d e^{6} + 128 \, b^{6} c e^{7}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} g}{45045 \, {\left(c^{6} e^{3} x + c^{6} d e^{2}\right)}}"," ",0,"-2/15015*(1155*c^6*e^6*x^6 + 9683*c^6*d^6 - 30382*b*c^5*d^5*e + 37267*b^2*c^4*d^4*e^2 - 23464*b^3*c^3*d^3*e^3 + 8368*b^4*c^2*d^2*e^4 - 1600*b^5*c*d*e^5 + 128*b^6*e^6 + 210*(19*c^6*d*e^5 + 7*b*c^5*e^6)*x^5 + 35*(79*c^6*d^2*e^4 + 206*b*c^5*d*e^5 + b^2*c^4*e^6)*x^4 - 20*(271*c^6*d^3*e^3 - 683*b*c^5*d^2*e^4 - 19*b^2*c^4*d*e^5 + 2*b^3*c^3*e^6)*x^3 - 3*(3169*c^6*d^4*e^2 - 3628*b*c^5*d^3*e^3 - 694*b^2*c^4*d^2*e^4 + 168*b^3*c^3*d*e^5 - 16*b^4*c^2*e^6)*x^2 - 2*(1333*c^6*d^5*e + 1421*b*c^5*d^4*e^2 - 4142*b^2*c^4*d^3*e^3 + 1724*b^3*c^3*d^2*e^4 - 368*b^4*c^2*d*e^5 + 32*b^5*c*e^6)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*f/(c^5*e^2*x + c^5*d*e) - 2/45045*(3003*c^7*e^7*x^7 + 12686*c^7*d^7 - 55754*b*c^6*d^6*e + 101034*b^2*c^5*d^5*e^2 - 97998*b^3*c^4*d^4*e^3 + 55296*b^4*c^3*d^3*e^4 - 18336*b^5*c^2*d^2*e^5 + 3328*b^6*c*d*e^6 - 256*b^7*e^7 + 924*(11*c^7*d*e^6 + 4*b*c^6*e^7)*x^6 + 63*(111*c^7*d^2*e^5 + 278*b*c^6*d*e^6 + b^2*c^5*e^7)*x^5 - 70*(175*c^7*d^3*e^4 - 453*b*c^6*d^2*e^5 - 9*b^2*c^5*d*e^6 + b^3*c^4*e^7)*x^4 - 5*(4087*c^7*d^4*e^3 - 4900*b*c^6*d^3*e^4 - 618*b^2*c^5*d^2*e^5 + 160*b^3*c^4*d*e^6 - 16*b^4*c^3*e^7)*x^3 - 12*(542*c^7*d^5*e^2 + 11*b*c^6*d^4*e^3 - 862*b^2*c^5*d^3*e^4 + 389*b^3*c^4*d^2*e^5 - 88*b^4*c^3*d*e^6 + 8*b^5*c^2*e^7)*x^2 + (6343*c^7*d^6*e - 21534*b*c^6*d^5*e^2 + 28983*b^2*c^5*d^4*e^3 - 20016*b^3*c^4*d^3*e^4 + 7632*b^4*c^3*d^2*e^5 - 1536*b^5*c^2*d*e^6 + 128*b^6*c*e^7)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*g/(c^6*e^3*x + c^6*d*e^2)","B",0
2241,1,676,0,0.990734," ","integrate((e*x+d)^(3/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(105 \, c^{5} e^{5} x^{5} + 533 \, c^{5} d^{5} - 1488 \, b c^{4} d^{4} e + 1513 \, b^{2} c^{3} d^{3} e^{2} - 710 \, b^{3} c^{2} d^{2} e^{3} + 168 \, b^{4} c d e^{4} - 16 \, b^{5} e^{5} + 35 \, {\left(7 \, c^{5} d e^{4} + 4 \, b c^{4} e^{5}\right)} x^{4} - 5 \, {\left(10 \, c^{5} d^{2} e^{3} - 108 \, b c^{4} d e^{4} - b^{2} c^{3} e^{5}\right)} x^{3} - 3 \, {\left(174 \, c^{5} d^{3} e^{2} - 236 \, b c^{4} d^{2} e^{3} - 17 \, b^{2} c^{3} d e^{4} + 2 \, b^{3} c^{2} e^{5}\right)} x^{2} - {\left(311 \, c^{5} d^{4} e - 100 \, b c^{4} d^{3} e^{2} - 279 \, b^{2} c^{3} d^{2} e^{3} + 76 \, b^{3} c^{2} d e^{4} - 8 \, b^{4} c e^{5}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} f}{1155 \, {\left(c^{4} e^{2} x + c^{4} d e\right)}} - \frac{2 \, {\left(1155 \, c^{6} e^{6} x^{6} + 2754 \, c^{6} d^{6} - 11038 \, b c^{5} d^{5} e + 17598 \, b^{2} c^{4} d^{4} e^{2} - 14234 \, b^{3} c^{3} d^{3} e^{3} + 6184 \, b^{4} c^{2} d^{2} e^{4} - 1392 \, b^{5} c d e^{5} + 128 \, b^{6} e^{6} + 105 \, {\left(25 \, c^{6} d e^{5} + 14 \, b c^{5} e^{6}\right)} x^{5} - 35 \, {\left(12 \, c^{6} d^{2} e^{4} - 154 \, b c^{5} d e^{5} - b^{2} c^{4} e^{6}\right)} x^{4} - 5 \, {\left(954 \, c^{6} d^{3} e^{3} - 1328 \, b c^{5} d^{2} e^{4} - 63 \, b^{2} c^{4} d e^{5} + 8 \, b^{3} c^{3} e^{6}\right)} x^{3} - 3 \, {\left(907 \, c^{6} d^{4} e^{2} - 560 \, b c^{5} d^{3} e^{3} - 473 \, b^{2} c^{4} d^{2} e^{4} + 142 \, b^{3} c^{3} d e^{5} - 16 \, b^{4} c^{2} e^{6}\right)} x^{2} + {\left(1377 \, c^{6} d^{5} e - 4142 \, b c^{5} d^{4} e^{2} + 4657 \, b^{2} c^{4} d^{3} e^{3} - 2460 \, b^{3} c^{3} d^{2} e^{4} + 632 \, b^{4} c^{2} d e^{5} - 64 \, b^{5} c e^{6}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} g}{15015 \, {\left(c^{5} e^{3} x + c^{5} d e^{2}\right)}}"," ",0,"-2/1155*(105*c^5*e^5*x^5 + 533*c^5*d^5 - 1488*b*c^4*d^4*e + 1513*b^2*c^3*d^3*e^2 - 710*b^3*c^2*d^2*e^3 + 168*b^4*c*d*e^4 - 16*b^5*e^5 + 35*(7*c^5*d*e^4 + 4*b*c^4*e^5)*x^4 - 5*(10*c^5*d^2*e^3 - 108*b*c^4*d*e^4 - b^2*c^3*e^5)*x^3 - 3*(174*c^5*d^3*e^2 - 236*b*c^4*d^2*e^3 - 17*b^2*c^3*d*e^4 + 2*b^3*c^2*e^5)*x^2 - (311*c^5*d^4*e - 100*b*c^4*d^3*e^2 - 279*b^2*c^3*d^2*e^3 + 76*b^3*c^2*d*e^4 - 8*b^4*c*e^5)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*f/(c^4*e^2*x + c^4*d*e) - 2/15015*(1155*c^6*e^6*x^6 + 2754*c^6*d^6 - 11038*b*c^5*d^5*e + 17598*b^2*c^4*d^4*e^2 - 14234*b^3*c^3*d^3*e^3 + 6184*b^4*c^2*d^2*e^4 - 1392*b^5*c*d*e^5 + 128*b^6*e^6 + 105*(25*c^6*d*e^5 + 14*b*c^5*e^6)*x^5 - 35*(12*c^6*d^2*e^4 - 154*b*c^5*d*e^5 - b^2*c^4*e^6)*x^4 - 5*(954*c^6*d^3*e^3 - 1328*b*c^5*d^2*e^4 - 63*b^2*c^4*d*e^5 + 8*b^3*c^3*e^6)*x^3 - 3*(907*c^6*d^4*e^2 - 560*b*c^5*d^3*e^3 - 473*b^2*c^4*d^2*e^4 + 142*b^3*c^3*d*e^5 - 16*b^4*c^2*e^6)*x^2 + (1377*c^6*d^5*e - 4142*b*c^5*d^4*e^2 + 4657*b^2*c^4*d^3*e^3 - 2460*b^3*c^3*d^2*e^4 + 632*b^4*c^2*d*e^5 - 64*b^5*c*e^6)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*g/(c^5*e^3*x + c^5*d*e^2)","B",0
2242,1,502,0,0.936388," ","integrate((e*x+d)^(1/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(35 \, c^{4} e^{4} x^{4} + 107 \, c^{4} d^{4} - 266 \, b c^{3} d^{3} e + 219 \, b^{2} c^{2} d^{2} e^{2} - 68 \, b^{3} c d e^{3} + 8 \, b^{4} e^{4} + 10 \, {\left(4 \, c^{4} d e^{3} + 5 \, b c^{3} e^{4}\right)} x^{3} - 3 \, {\left(26 \, c^{4} d^{2} e^{2} - 46 \, b c^{3} d e^{3} - b^{2} c^{2} e^{4}\right)} x^{2} - 2 \, {\left(52 \, c^{4} d^{3} e - 39 \, b c^{3} d^{2} e^{2} - 15 \, b^{2} c^{2} d e^{3} + 2 \, b^{3} c e^{4}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} f}{315 \, {\left(c^{3} e^{2} x + c^{3} d e\right)}} - \frac{2 \, {\left(315 \, c^{5} e^{5} x^{5} + 422 \, c^{5} d^{5} - 1538 \, b c^{4} d^{4} e + 2130 \, b^{2} c^{3} d^{3} e^{2} - 1382 \, b^{3} c^{2} d^{2} e^{3} + 416 \, b^{4} c d e^{4} - 48 \, b^{5} e^{5} + 70 \, {\left(5 \, c^{5} d e^{4} + 6 \, b c^{4} e^{5}\right)} x^{4} - 5 \, {\left(118 \, c^{5} d^{2} e^{3} - 214 \, b c^{4} d e^{4} - 3 \, b^{2} c^{3} e^{5}\right)} x^{3} - 6 \, {\left(118 \, c^{5} d^{3} e^{2} - 101 \, b c^{4} d^{2} e^{3} - 20 \, b^{2} c^{3} d e^{4} + 3 \, b^{3} c^{2} e^{5}\right)} x^{2} + {\left(211 \, c^{5} d^{4} e - 558 \, b c^{4} d^{3} e^{2} + 507 \, b^{2} c^{3} d^{2} e^{3} - 184 \, b^{3} c^{2} d e^{4} + 24 \, b^{4} c e^{5}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} g}{3465 \, {\left(c^{4} e^{3} x + c^{4} d e^{2}\right)}}"," ",0,"-2/315*(35*c^4*e^4*x^4 + 107*c^4*d^4 - 266*b*c^3*d^3*e + 219*b^2*c^2*d^2*e^2 - 68*b^3*c*d*e^3 + 8*b^4*e^4 + 10*(4*c^4*d*e^3 + 5*b*c^3*e^4)*x^3 - 3*(26*c^4*d^2*e^2 - 46*b*c^3*d*e^3 - b^2*c^2*e^4)*x^2 - 2*(52*c^4*d^3*e - 39*b*c^3*d^2*e^2 - 15*b^2*c^2*d*e^3 + 2*b^3*c*e^4)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*f/(c^3*e^2*x + c^3*d*e) - 2/3465*(315*c^5*e^5*x^5 + 422*c^5*d^5 - 1538*b*c^4*d^4*e + 2130*b^2*c^3*d^3*e^2 - 1382*b^3*c^2*d^2*e^3 + 416*b^4*c*d*e^4 - 48*b^5*e^5 + 70*(5*c^5*d*e^4 + 6*b*c^4*e^5)*x^4 - 5*(118*c^5*d^2*e^3 - 214*b*c^4*d*e^4 - 3*b^2*c^3*e^5)*x^3 - 6*(118*c^5*d^3*e^2 - 101*b*c^4*d^2*e^3 - 20*b^2*c^3*d*e^4 + 3*b^3*c^2*e^5)*x^2 + (211*c^5*d^4*e - 558*b*c^4*d^3*e^2 + 507*b^2*c^3*d^2*e^3 - 184*b^3*c^2*d*e^4 + 24*b^4*c*e^5)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*g/(c^4*e^3*x + c^4*d*e^2)","B",0
2243,1,320,0,0.841224," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(5 \, c^{3} e^{3} x^{3} + 9 \, c^{3} d^{3} - 20 \, b c^{2} d^{2} e + 13 \, b^{2} c d e^{2} - 2 \, b^{3} e^{3} - {\left(c^{3} d e^{2} - 8 \, b c^{2} e^{3}\right)} x^{2} - {\left(13 \, c^{3} d^{2} e - 12 \, b c^{2} d e^{2} - b^{2} c e^{3}\right)} x\right)} \sqrt{-c e x + c d - b e} f}{35 \, c^{2} e} - \frac{2 \, {\left(35 \, c^{4} e^{4} x^{4} + 26 \, c^{4} d^{4} - 86 \, b c^{3} d^{3} e + 102 \, b^{2} c^{2} d^{2} e^{2} - 50 \, b^{3} c d e^{3} + 8 \, b^{4} e^{4} - 5 \, {\left(c^{4} d e^{3} - 10 \, b c^{3} e^{4}\right)} x^{3} - 3 \, {\left(23 \, c^{4} d^{2} e^{2} - 22 \, b c^{3} d e^{3} - b^{2} c^{2} e^{4}\right)} x^{2} + {\left(13 \, c^{4} d^{3} e - 30 \, b c^{3} d^{2} e^{2} + 21 \, b^{2} c^{2} d e^{3} - 4 \, b^{3} c e^{4}\right)} x\right)} \sqrt{-c e x + c d - b e} g}{315 \, c^{3} e^{2}}"," ",0,"-2/35*(5*c^3*e^3*x^3 + 9*c^3*d^3 - 20*b*c^2*d^2*e + 13*b^2*c*d*e^2 - 2*b^3*e^3 - (c^3*d*e^2 - 8*b*c^2*e^3)*x^2 - (13*c^3*d^2*e - 12*b*c^2*d*e^2 - b^2*c*e^3)*x)*sqrt(-c*e*x + c*d - b*e)*f/(c^2*e) - 2/315*(35*c^4*e^4*x^4 + 26*c^4*d^4 - 86*b*c^3*d^3*e + 102*b^2*c^2*d^2*e^2 - 50*b^3*c*d*e^3 + 8*b^4*e^4 - 5*(c^4*d*e^3 - 10*b*c^3*e^4)*x^3 - 3*(23*c^4*d^2*e^2 - 22*b*c^3*d*e^3 - b^2*c^2*e^4)*x^2 + (13*c^4*d^3*e - 30*b*c^3*d^2*e^2 + 21*b^2*c^2*d*e^3 - 4*b^3*c*e^4)*x)*sqrt(-c*e*x + c*d - b*e)*g/(c^3*e^2)","A",0
2244,1,197,0,0.751415," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(c^{2} e^{2} x^{2} + c^{2} d^{2} - 2 \, b c d e + b^{2} e^{2} - 2 \, {\left(c^{2} d e - b c e^{2}\right)} x\right)} \sqrt{-c e x + c d - b e} f}{5 \, c e} - \frac{2 \, {\left(5 \, c^{3} e^{3} x^{3} + 2 \, c^{3} d^{3} - 6 \, b c^{2} d^{2} e + 6 \, b^{2} c d e^{2} - 2 \, b^{3} e^{3} - 8 \, {\left(c^{3} d e^{2} - b c^{2} e^{3}\right)} x^{2} + {\left(c^{3} d^{2} e - 2 \, b c^{2} d e^{2} + b^{2} c e^{3}\right)} x\right)} \sqrt{-c e x + c d - b e} g}{35 \, c^{2} e^{2}}"," ",0,"-2/5*(c^2*e^2*x^2 + c^2*d^2 - 2*b*c*d*e + b^2*e^2 - 2*(c^2*d*e - b*c*e^2)*x)*sqrt(-c*e*x + c*d - b*e)*f/(c*e) - 2/35*(5*c^3*e^3*x^3 + 2*c^3*d^3 - 6*b*c^2*d^2*e + 6*b^2*c*d*e^2 - 2*b^3*e^3 - 8*(c^3*d*e^2 - b*c^2*e^3)*x^2 + (c^3*d^2*e - 2*b*c^2*d*e^2 + b^2*c*e^3)*x)*sqrt(-c*e*x + c*d - b*e)*g/(c^2*e^2)","A",0
2245,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*(g*x + f)/(e*x + d)^(5/2), x)","F",0
2246,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*(g*x + f)/(e*x + d)^(7/2), x)","F",0
2247,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*(g*x + f)/(e*x + d)^(9/2), x)","F",0
2248,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*(g*x + f)/(e*x + d)^(11/2), x)","F",0
2249,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2)/(e*x+d)^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*(g*x + f)/(e*x + d)^(13/2), x)","F",0
2250,1,1364,0,1.026744," ","integrate((e*x+d)^(5/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(9009 \, c^{8} e^{8} x^{8} - 74461 \, c^{8} d^{8} + 317517 \, b c^{7} d^{7} e - 563561 \, b^{2} c^{6} d^{6} e^{2} + 549615 \, b^{3} c^{5} d^{5} e^{3} - 329190 \, b^{4} c^{4} d^{4} e^{4} + 126672 \, b^{5} c^{3} d^{3} e^{5} - 30560 \, b^{6} c^{2} d^{2} e^{6} + 4224 \, b^{7} c d e^{7} - 256 \, b^{8} e^{8} + 3003 \, {\left(10 \, c^{8} d e^{7} + 7 \, b c^{7} e^{8}\right)} x^{7} + 231 \, {\left(38 \, c^{8} d^{2} e^{6} + 417 \, b c^{7} d e^{7} + 55 \, b^{2} c^{6} e^{8}\right)} x^{6} - 63 \, {\left(1174 \, c^{8} d^{3} e^{5} - 2179 \, b c^{7} d^{2} e^{6} - 1204 \, b^{2} c^{6} d e^{7} - b^{3} c^{5} e^{8}\right)} x^{5} - 35 \, {\left(2348 \, c^{8} d^{4} e^{4} + 587 \, b c^{7} d^{3} e^{5} - 5343 \, b^{2} c^{6} d^{2} e^{6} - 25 \, b^{3} c^{5} d e^{7} + 2 \, b^{4} c^{4} e^{8}\right)} x^{4} + {\left(37354 \, c^{8} d^{5} e^{3} - 257745 \, b c^{7} d^{4} e^{4} + 237200 \, b^{2} c^{6} d^{3} e^{5} + 6070 \, b^{3} c^{5} d^{2} e^{6} - 1080 \, b^{4} c^{4} d e^{7} + 80 \, b^{5} c^{3} e^{8}\right)} x^{3} + 3 \, {\left(35362 \, c^{8} d^{6} e^{2} - 87409 \, b c^{7} d^{5} e^{3} + 44825 \, b^{2} c^{6} d^{4} e^{4} + 9650 \, b^{3} c^{5} d^{3} e^{5} - 2860 \, b^{4} c^{4} d^{2} e^{6} + 464 \, b^{5} c^{3} d e^{7} - 32 \, b^{6} c^{2} e^{8}\right)} x^{2} + {\left(39346 \, c^{8} d^{7} e - 31625 \, b c^{7} d^{6} e^{2} - 83676 \, b^{2} c^{6} d^{5} e^{3} + 114555 \, b^{3} c^{5} d^{4} e^{4} - 50040 \, b^{4} c^{4} d^{3} e^{5} + 13296 \, b^{5} c^{3} d^{2} e^{6} - 1984 \, b^{6} c^{2} d e^{7} + 128 \, b^{7} c e^{8}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} f}{153153 \, {\left(c^{6} e^{2} x + c^{6} d e\right)}} + \frac{2 \, {\left(153153 \, c^{9} e^{9} x^{9} - 525458 \, c^{9} d^{9} + 2940576 \, b c^{8} d^{8} e - 7087468 \, b^{2} c^{7} d^{7} e^{2} + 9663960 \, b^{3} c^{6} d^{6} e^{3} - 8241330 \, b^{4} c^{5} d^{5} e^{4} + 4583640 \, b^{5} c^{4} d^{4} e^{5} - 1672864 \, b^{6} c^{3} d^{3} e^{6} + 387840 \, b^{7} c^{2} d^{2} e^{7} - 51968 \, b^{8} c d e^{8} + 3072 \, b^{9} e^{9} + 9009 \, {\left(56 \, c^{9} d e^{8} + 39 \, b c^{8} e^{9}\right)} x^{8} + 3003 \, {\left(50 \, c^{9} d^{2} e^{7} + 527 \, b c^{8} d e^{8} + 69 \, b^{2} c^{7} e^{9}\right)} x^{7} - 231 \, {\left(5114 \, c^{9} d^{3} e^{6} - 9585 \, b c^{8} d^{2} e^{7} - 5216 \, b^{2} c^{7} d e^{8} - 3 \, b^{3} c^{6} e^{9}\right)} x^{6} - 63 \, {\left(20456 \, c^{9} d^{4} e^{5} + 4189 \, b c^{8} d^{3} e^{6} - 45509 \, b^{2} c^{7} d^{2} e^{7} - 143 \, b^{3} c^{6} d e^{8} + 12 \, b^{4} c^{5} e^{9}\right)} x^{5} + 7 \, {\left(72574 \, c^{9} d^{5} e^{4} - 530165 \, b c^{8} d^{4} e^{5} + 496980 \, b^{2} c^{7} d^{3} e^{6} + 8230 \, b^{3} c^{6} d^{2} e^{7} - 1550 \, b^{4} c^{5} d e^{8} + 120 \, b^{5} c^{4} e^{9}\right)} x^{4} + {\left(1411994 \, c^{9} d^{6} e^{3} - 3574809 \, b c^{8} d^{5} e^{4} + 1981645 \, b^{2} c^{7} d^{4} e^{5} + 247010 \, b^{3} c^{6} d^{3} e^{6} - 78240 \, b^{4} c^{5} d^{2} e^{7} + 13360 \, b^{5} c^{4} d e^{8} - 960 \, b^{6} c^{3} e^{9}\right)} x^{3} + 3 \, {\left(176810 \, c^{9} d^{7} e^{2} - 248777 \, b c^{8} d^{6} e^{3} - 105344 \, b^{2} c^{7} d^{5} e^{4} + 276115 \, b^{3} c^{6} d^{4} e^{5} - 130100 \, b^{4} c^{5} d^{3} e^{6} + 36640 \, b^{5} c^{4} d^{2} e^{7} - 5728 \, b^{6} c^{3} d e^{8} + 384 \, b^{7} c^{2} e^{9}\right)} x^{2} - {\left(262729 \, c^{9} d^{8} e - 1207559 \, b c^{8} d^{7} e^{2} + 2336175 \, b^{2} c^{7} d^{6} e^{3} - 2495805 \, b^{3} c^{6} d^{5} e^{4} + 1624860 \, b^{4} c^{5} d^{4} e^{5} - 666960 \, b^{5} c^{4} d^{3} e^{6} + 169472 \, b^{6} c^{3} d^{2} e^{7} - 24448 \, b^{7} c^{2} d e^{8} + 1536 \, b^{8} c e^{9}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} g}{2909907 \, {\left(c^{7} e^{3} x + c^{7} d e^{2}\right)}}"," ",0,"2/153153*(9009*c^8*e^8*x^8 - 74461*c^8*d^8 + 317517*b*c^7*d^7*e - 563561*b^2*c^6*d^6*e^2 + 549615*b^3*c^5*d^5*e^3 - 329190*b^4*c^4*d^4*e^4 + 126672*b^5*c^3*d^3*e^5 - 30560*b^6*c^2*d^2*e^6 + 4224*b^7*c*d*e^7 - 256*b^8*e^8 + 3003*(10*c^8*d*e^7 + 7*b*c^7*e^8)*x^7 + 231*(38*c^8*d^2*e^6 + 417*b*c^7*d*e^7 + 55*b^2*c^6*e^8)*x^6 - 63*(1174*c^8*d^3*e^5 - 2179*b*c^7*d^2*e^6 - 1204*b^2*c^6*d*e^7 - b^3*c^5*e^8)*x^5 - 35*(2348*c^8*d^4*e^4 + 587*b*c^7*d^3*e^5 - 5343*b^2*c^6*d^2*e^6 - 25*b^3*c^5*d*e^7 + 2*b^4*c^4*e^8)*x^4 + (37354*c^8*d^5*e^3 - 257745*b*c^7*d^4*e^4 + 237200*b^2*c^6*d^3*e^5 + 6070*b^3*c^5*d^2*e^6 - 1080*b^4*c^4*d*e^7 + 80*b^5*c^3*e^8)*x^3 + 3*(35362*c^8*d^6*e^2 - 87409*b*c^7*d^5*e^3 + 44825*b^2*c^6*d^4*e^4 + 9650*b^3*c^5*d^3*e^5 - 2860*b^4*c^4*d^2*e^6 + 464*b^5*c^3*d*e^7 - 32*b^6*c^2*e^8)*x^2 + (39346*c^8*d^7*e - 31625*b*c^7*d^6*e^2 - 83676*b^2*c^6*d^5*e^3 + 114555*b^3*c^5*d^4*e^4 - 50040*b^4*c^4*d^3*e^5 + 13296*b^5*c^3*d^2*e^6 - 1984*b^6*c^2*d*e^7 + 128*b^7*c*e^8)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*f/(c^6*e^2*x + c^6*d*e) + 2/2909907*(153153*c^9*e^9*x^9 - 525458*c^9*d^9 + 2940576*b*c^8*d^8*e - 7087468*b^2*c^7*d^7*e^2 + 9663960*b^3*c^6*d^6*e^3 - 8241330*b^4*c^5*d^5*e^4 + 4583640*b^5*c^4*d^4*e^5 - 1672864*b^6*c^3*d^3*e^6 + 387840*b^7*c^2*d^2*e^7 - 51968*b^8*c*d*e^8 + 3072*b^9*e^9 + 9009*(56*c^9*d*e^8 + 39*b*c^8*e^9)*x^8 + 3003*(50*c^9*d^2*e^7 + 527*b*c^8*d*e^8 + 69*b^2*c^7*e^9)*x^7 - 231*(5114*c^9*d^3*e^6 - 9585*b*c^8*d^2*e^7 - 5216*b^2*c^7*d*e^8 - 3*b^3*c^6*e^9)*x^6 - 63*(20456*c^9*d^4*e^5 + 4189*b*c^8*d^3*e^6 - 45509*b^2*c^7*d^2*e^7 - 143*b^3*c^6*d*e^8 + 12*b^4*c^5*e^9)*x^5 + 7*(72574*c^9*d^5*e^4 - 530165*b*c^8*d^4*e^5 + 496980*b^2*c^7*d^3*e^6 + 8230*b^3*c^6*d^2*e^7 - 1550*b^4*c^5*d*e^8 + 120*b^5*c^4*e^9)*x^4 + (1411994*c^9*d^6*e^3 - 3574809*b*c^8*d^5*e^4 + 1981645*b^2*c^7*d^4*e^5 + 247010*b^3*c^6*d^3*e^6 - 78240*b^4*c^5*d^2*e^7 + 13360*b^5*c^4*d*e^8 - 960*b^6*c^3*e^9)*x^3 + 3*(176810*c^9*d^7*e^2 - 248777*b*c^8*d^6*e^3 - 105344*b^2*c^7*d^5*e^4 + 276115*b^3*c^6*d^4*e^5 - 130100*b^4*c^5*d^3*e^6 + 36640*b^5*c^4*d^2*e^7 - 5728*b^6*c^3*d*e^8 + 384*b^7*c^2*e^9)*x^2 - (262729*c^9*d^8*e - 1207559*b*c^8*d^7*e^2 + 2336175*b^2*c^7*d^6*e^3 - 2495805*b^3*c^6*d^5*e^4 + 1624860*b^4*c^5*d^4*e^5 - 666960*b^5*c^4*d^3*e^6 + 169472*b^6*c^3*d^2*e^7 - 24448*b^7*c^2*d*e^8 + 1536*b^8*c*e^9)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*g/(c^7*e^3*x + c^7*d*e^2)","B",0
2251,1,1108,0,1.029528," ","integrate((e*x+d)^(3/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, c^{7} e^{7} x^{7} - 16363 \, c^{7} d^{7} + 64441 \, b c^{6} d^{6} e - 101913 \, b^{2} c^{5} d^{5} e^{2} + 84195 \, b^{3} c^{4} d^{4} e^{3} - 40200 \, b^{4} c^{3} d^{3} e^{4} + 11568 \, b^{5} c^{2} d^{2} e^{5} - 1856 \, b^{6} c d e^{6} + 128 \, b^{7} e^{7} + 231 \, {\left(29 \, c^{7} d e^{6} + 31 \, b c^{6} e^{7}\right)} x^{6} - 63 \, {\left(79 \, c^{7} d^{2} e^{5} - 398 \, b c^{6} d e^{6} - 71 \, b^{2} c^{5} e^{7}\right)} x^{5} - 35 \, {\left(587 \, c^{7} d^{3} e^{4} - 525 \, b c^{6} d^{2} e^{5} - 633 \, b^{2} c^{5} d e^{6} - b^{3} c^{4} e^{7}\right)} x^{4} - 5 \, {\left(835 \, c^{7} d^{4} e^{3} + 6548 \, b c^{6} d^{3} e^{4} - 8586 \, b^{2} c^{5} d^{2} e^{5} - 92 \, b^{3} c^{4} d e^{6} + 8 \, b^{4} c^{3} e^{7}\right)} x^{3} + 3 \, {\left(7339 \, c^{7} d^{5} e^{2} - 20435 \, b c^{6} d^{4} e^{3} + 12250 \, b^{2} c^{5} d^{3} e^{4} + 1030 \, b^{3} c^{4} d^{2} e^{5} - 200 \, b^{4} c^{3} d e^{6} + 16 \, b^{5} c^{2} e^{7}\right)} x^{2} + {\left(14341 \, c^{7} d^{6} e - 21006 \, b c^{6} d^{5} e^{2} - 4395 \, b^{2} c^{5} d^{4} e^{3} + 15180 \, b^{3} c^{4} d^{3} e^{4} - 4920 \, b^{4} c^{3} d^{2} e^{5} + 864 \, b^{5} c^{2} d e^{6} - 64 \, b^{6} c e^{7}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} f}{45045 \, {\left(c^{5} e^{2} x + c^{5} d e\right)}} + \frac{2 \, {\left(45045 \, c^{8} e^{8} x^{8} - 94134 \, c^{8} d^{8} + 492088 \, b c^{7} d^{7} e - 1085284 \, b^{2} c^{6} d^{6} e^{2} + 1316760 \, b^{3} c^{5} d^{5} e^{3} - 962550 \, b^{4} c^{4} d^{4} e^{4} + 436704 \, b^{5} c^{3} d^{3} e^{5} - 121248 \, b^{6} c^{2} d^{2} e^{6} + 18944 \, b^{7} c d e^{7} - 1280 \, b^{8} e^{8} + 3003 \, {\left(33 \, c^{8} d e^{7} + 35 \, b c^{7} e^{8}\right)} x^{7} - 231 \, {\left(303 \, c^{8} d^{2} e^{6} - 1558 \, b c^{7} d e^{7} - 275 \, b^{2} c^{6} e^{8}\right)} x^{6} - 63 \, {\left(4527 \, c^{8} d^{3} e^{5} - 4129 \, b c^{7} d^{2} e^{6} - 4813 \, b^{2} c^{6} d e^{7} - 5 \, b^{3} c^{5} e^{8}\right)} x^{5} - 35 \, {\left(1761 \, c^{8} d^{4} e^{4} + 11860 \, b c^{7} d^{3} e^{5} - 15954 \, b^{2} c^{6} d^{2} e^{6} - 108 \, b^{3} c^{5} d e^{7} + 10 \, b^{4} c^{4} e^{8}\right)} x^{4} + 5 \, {\left(51549 \, c^{8} d^{5} e^{3} - 146429 \, b c^{7} d^{4} e^{4} + 91238 \, b^{2} c^{6} d^{3} e^{5} + 4506 \, b^{3} c^{5} d^{2} e^{6} - 944 \, b^{4} c^{4} d e^{7} + 80 \, b^{5} c^{3} e^{8}\right)} x^{3} + 3 \, {\left(52047 \, c^{8} d^{6} e^{2} - 89650 \, b c^{7} d^{5} e^{3} + 15875 \, b^{2} c^{6} d^{4} e^{4} + 30740 \, b^{3} c^{5} d^{3} e^{5} - 10900 \, b^{4} c^{4} d^{2} e^{6} + 2048 \, b^{5} c^{3} d e^{7} - 160 \, b^{6} c^{2} e^{8}\right)} x^{2} - {\left(47067 \, c^{8} d^{7} e - 198977 \, b c^{7} d^{6} e^{2} + 343665 \, b^{2} c^{6} d^{5} e^{3} - 314715 \, b^{3} c^{5} d^{4} e^{4} + 166560 \, b^{4} c^{4} d^{3} e^{5} - 51792 \, b^{5} c^{3} d^{2} e^{6} + 8832 \, b^{6} c^{2} d e^{7} - 640 \, b^{7} c e^{8}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} g}{765765 \, {\left(c^{6} e^{3} x + c^{6} d e^{2}\right)}}"," ",0,"2/45045*(3003*c^7*e^7*x^7 - 16363*c^7*d^7 + 64441*b*c^6*d^6*e - 101913*b^2*c^5*d^5*e^2 + 84195*b^3*c^4*d^4*e^3 - 40200*b^4*c^3*d^3*e^4 + 11568*b^5*c^2*d^2*e^5 - 1856*b^6*c*d*e^6 + 128*b^7*e^7 + 231*(29*c^7*d*e^6 + 31*b*c^6*e^7)*x^6 - 63*(79*c^7*d^2*e^5 - 398*b*c^6*d*e^6 - 71*b^2*c^5*e^7)*x^5 - 35*(587*c^7*d^3*e^4 - 525*b*c^6*d^2*e^5 - 633*b^2*c^5*d*e^6 - b^3*c^4*e^7)*x^4 - 5*(835*c^7*d^4*e^3 + 6548*b*c^6*d^3*e^4 - 8586*b^2*c^5*d^2*e^5 - 92*b^3*c^4*d*e^6 + 8*b^4*c^3*e^7)*x^3 + 3*(7339*c^7*d^5*e^2 - 20435*b*c^6*d^4*e^3 + 12250*b^2*c^5*d^3*e^4 + 1030*b^3*c^4*d^2*e^5 - 200*b^4*c^3*d*e^6 + 16*b^5*c^2*e^7)*x^2 + (14341*c^7*d^6*e - 21006*b*c^6*d^5*e^2 - 4395*b^2*c^5*d^4*e^3 + 15180*b^3*c^4*d^3*e^4 - 4920*b^4*c^3*d^2*e^5 + 864*b^5*c^2*d*e^6 - 64*b^6*c*e^7)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*f/(c^5*e^2*x + c^5*d*e) + 2/765765*(45045*c^8*e^8*x^8 - 94134*c^8*d^8 + 492088*b*c^7*d^7*e - 1085284*b^2*c^6*d^6*e^2 + 1316760*b^3*c^5*d^5*e^3 - 962550*b^4*c^4*d^4*e^4 + 436704*b^5*c^3*d^3*e^5 - 121248*b^6*c^2*d^2*e^6 + 18944*b^7*c*d*e^7 - 1280*b^8*e^8 + 3003*(33*c^8*d*e^7 + 35*b*c^7*e^8)*x^7 - 231*(303*c^8*d^2*e^6 - 1558*b*c^7*d*e^7 - 275*b^2*c^6*e^8)*x^6 - 63*(4527*c^8*d^3*e^5 - 4129*b*c^7*d^2*e^6 - 4813*b^2*c^6*d*e^7 - 5*b^3*c^5*e^8)*x^5 - 35*(1761*c^8*d^4*e^4 + 11860*b*c^7*d^3*e^5 - 15954*b^2*c^6*d^2*e^6 - 108*b^3*c^5*d*e^7 + 10*b^4*c^4*e^8)*x^4 + 5*(51549*c^8*d^5*e^3 - 146429*b*c^7*d^4*e^4 + 91238*b^2*c^6*d^3*e^5 + 4506*b^3*c^5*d^2*e^6 - 944*b^4*c^4*d*e^7 + 80*b^5*c^3*e^8)*x^3 + 3*(52047*c^8*d^6*e^2 - 89650*b*c^7*d^5*e^3 + 15875*b^2*c^6*d^4*e^4 + 30740*b^3*c^5*d^3*e^5 - 10900*b^4*c^4*d^2*e^6 + 2048*b^5*c^3*d*e^7 - 160*b^6*c^2*e^8)*x^2 - (47067*c^8*d^7*e - 198977*b*c^7*d^6*e^2 + 343665*b^2*c^6*d^5*e^3 - 314715*b^3*c^5*d^4*e^4 + 166560*b^4*c^4*d^3*e^5 - 51792*b^5*c^3*d^2*e^6 + 8832*b^6*c^2*d*e^7 - 640*b^7*c*e^8)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*g/(c^6*e^3*x + c^6*d*e^2)","B",0
2252,1,878,0,0.997254," ","integrate((e*x+d)^(1/2)*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(231 \, c^{6} e^{6} x^{6} - 835 \, c^{6} d^{6} + 3047 \, b c^{5} d^{5} e - 4283 \, b^{2} c^{4} d^{4} e^{2} + 2933 \, b^{3} c^{3} d^{3} e^{3} - 1046 \, b^{4} c^{2} d^{2} e^{4} + 200 \, b^{5} c d e^{5} - 16 \, b^{6} e^{6} + 63 \, {\left(4 \, c^{6} d e^{5} + 9 \, b c^{5} e^{6}\right)} x^{5} - 7 \, {\left(103 \, c^{6} d^{2} e^{4} - 193 \, b c^{5} d e^{5} - 53 \, b^{2} c^{4} e^{6}\right)} x^{4} - {\left(824 \, c^{6} d^{3} e^{3} + 206 \, b c^{5} d^{2} e^{4} - 1454 \, b^{2} c^{4} d e^{5} - 5 \, b^{3} c^{3} e^{6}\right)} x^{3} + 3 \, {\left(271 \, c^{6} d^{4} e^{2} - 954 \, b c^{5} d^{3} e^{3} + 664 \, b^{2} c^{4} d^{2} e^{4} + 21 \, b^{3} c^{3} d e^{5} - 2 \, b^{4} c^{2} e^{6}\right)} x^{2} + {\left(1084 \, c^{6} d^{5} e - 1897 \, b c^{5} d^{4} e^{2} + 466 \, b^{2} c^{4} d^{3} e^{3} + 431 \, b^{3} c^{3} d^{2} e^{4} - 92 \, b^{4} c^{2} d e^{5} + 8 \, b^{5} c e^{6}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} f}{3003 \, {\left(c^{4} e^{2} x + c^{4} d e\right)}} + \frac{2 \, {\left(3003 \, c^{7} e^{7} x^{7} - 3838 \, c^{7} d^{7} + 18736 \, b c^{6} d^{6} e - 37668 \, b^{2} c^{5} d^{5} e^{2} + 40200 \, b^{3} c^{4} d^{4} e^{3} - 24510 \, b^{4} c^{3} d^{3} e^{4} + 8568 \, b^{5} c^{2} d^{2} e^{5} - 1616 \, b^{6} c d e^{6} + 128 \, b^{7} e^{7} + 231 \, {\left(14 \, c^{7} d e^{6} + 31 \, b c^{6} e^{7}\right)} x^{6} - 63 \, {\left(139 \, c^{7} d^{2} e^{5} - 263 \, b c^{6} d e^{6} - 71 \, b^{2} c^{5} e^{7}\right)} x^{5} - 35 \, {\left(278 \, c^{7} d^{3} e^{4} + 54 \, b c^{6} d^{2} e^{5} - 474 \, b^{2} c^{5} d e^{6} - b^{3} c^{4} e^{7}\right)} x^{4} + 5 \, {\left(1637 \, c^{7} d^{4} e^{3} - 5930 \, b c^{6} d^{3} e^{4} + 4224 \, b^{2} c^{5} d^{2} e^{5} + 77 \, b^{3} c^{4} d e^{6} - 8 \, b^{4} c^{3} e^{7}\right)} x^{3} + 3 \, {\left(3274 \, c^{7} d^{5} e^{2} - 6125 \, b c^{6} d^{4} e^{3} + 2290 \, b^{2} c^{5} d^{3} e^{4} + 715 \, b^{3} c^{4} d^{2} e^{5} - 170 \, b^{4} c^{3} d e^{6} + 16 \, b^{5} c^{2} e^{7}\right)} x^{2} - {\left(1919 \, c^{7} d^{6} e - 7449 \, b c^{6} d^{5} e^{2} + 11385 \, b^{2} c^{5} d^{4} e^{3} - 8715 \, b^{3} c^{4} d^{3} e^{4} + 3540 \, b^{4} c^{3} d^{2} e^{5} - 744 \, b^{5} c^{2} d e^{6} + 64 \, b^{6} c e^{7}\right)} x\right)} \sqrt{-c e x + c d - b e} {\left(e x + d\right)} g}{45045 \, {\left(c^{5} e^{3} x + c^{5} d e^{2}\right)}}"," ",0,"2/3003*(231*c^6*e^6*x^6 - 835*c^6*d^6 + 3047*b*c^5*d^5*e - 4283*b^2*c^4*d^4*e^2 + 2933*b^3*c^3*d^3*e^3 - 1046*b^4*c^2*d^2*e^4 + 200*b^5*c*d*e^5 - 16*b^6*e^6 + 63*(4*c^6*d*e^5 + 9*b*c^5*e^6)*x^5 - 7*(103*c^6*d^2*e^4 - 193*b*c^5*d*e^5 - 53*b^2*c^4*e^6)*x^4 - (824*c^6*d^3*e^3 + 206*b*c^5*d^2*e^4 - 1454*b^2*c^4*d*e^5 - 5*b^3*c^3*e^6)*x^3 + 3*(271*c^6*d^4*e^2 - 954*b*c^5*d^3*e^3 + 664*b^2*c^4*d^2*e^4 + 21*b^3*c^3*d*e^5 - 2*b^4*c^2*e^6)*x^2 + (1084*c^6*d^5*e - 1897*b*c^5*d^4*e^2 + 466*b^2*c^4*d^3*e^3 + 431*b^3*c^3*d^2*e^4 - 92*b^4*c^2*d*e^5 + 8*b^5*c*e^6)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*f/(c^4*e^2*x + c^4*d*e) + 2/45045*(3003*c^7*e^7*x^7 - 3838*c^7*d^7 + 18736*b*c^6*d^6*e - 37668*b^2*c^5*d^5*e^2 + 40200*b^3*c^4*d^4*e^3 - 24510*b^4*c^3*d^3*e^4 + 8568*b^5*c^2*d^2*e^5 - 1616*b^6*c*d*e^6 + 128*b^7*e^7 + 231*(14*c^7*d*e^6 + 31*b*c^6*e^7)*x^6 - 63*(139*c^7*d^2*e^5 - 263*b*c^6*d*e^6 - 71*b^2*c^5*e^7)*x^5 - 35*(278*c^7*d^3*e^4 + 54*b*c^6*d^2*e^5 - 474*b^2*c^5*d*e^6 - b^3*c^4*e^7)*x^4 + 5*(1637*c^7*d^4*e^3 - 5930*b*c^6*d^3*e^4 + 4224*b^2*c^5*d^2*e^5 + 77*b^3*c^4*d*e^6 - 8*b^4*c^3*e^7)*x^3 + 3*(3274*c^7*d^5*e^2 - 6125*b*c^6*d^4*e^3 + 2290*b^2*c^5*d^3*e^4 + 715*b^3*c^4*d^2*e^5 - 170*b^4*c^3*d*e^6 + 16*b^5*c^2*e^7)*x^2 - (1919*c^7*d^6*e - 7449*b*c^6*d^5*e^2 + 11385*b^2*c^5*d^4*e^3 - 8715*b^3*c^4*d^3*e^4 + 3540*b^4*c^3*d^2*e^5 - 744*b^5*c^2*d*e^6 + 64*b^6*c*e^7)*x)*sqrt(-c*e*x + c*d - b*e)*(e*x + d)*g/(c^5*e^3*x + c^5*d*e^2)","B",0
2253,1,638,0,0.751235," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, c^{5} e^{5} x^{5} - 151 \, c^{5} d^{5} + 513 \, b c^{4} d^{4} e - 641 \, b^{2} c^{3} d^{3} e^{2} + 355 \, b^{3} c^{2} d^{2} e^{3} - 84 \, b^{4} c d e^{4} + 8 \, b^{5} e^{5} - 7 \, {\left(c^{5} d e^{4} - 23 \, b c^{4} e^{5}\right)} x^{4} - {\left(206 \, c^{5} d^{2} e^{3} - 192 \, b c^{4} d e^{4} - 113 \, b^{2} c^{3} e^{5}\right)} x^{3} + 3 \, {\left(10 \, c^{5} d^{3} e^{2} - 118 \, b c^{4} d^{2} e^{3} + 107 \, b^{2} c^{3} d e^{4} + b^{3} c^{2} e^{5}\right)} x^{2} + {\left(271 \, c^{5} d^{4} e - 512 \, b c^{4} d^{3} e^{2} + 207 \, b^{2} c^{3} d^{2} e^{3} + 38 \, b^{3} c^{2} d e^{4} - 4 \, b^{4} c e^{5}\right)} x\right)} \sqrt{-c e x + c d - b e} f}{693 \, c^{3} e} + \frac{2 \, {\left(693 \, c^{6} e^{6} x^{6} - 542 \, c^{6} d^{6} + 2472 \, b c^{5} d^{5} e - 4516 \, b^{2} c^{4} d^{4} e^{2} + 4184 \, b^{3} c^{3} d^{3} e^{3} - 2046 \, b^{4} c^{2} d^{2} e^{4} + 496 \, b^{5} c d e^{5} - 48 \, b^{6} e^{6} - 63 \, {\left(c^{6} d e^{5} - 27 \, b c^{5} e^{6}\right)} x^{5} - 7 \, {\left(296 \, c^{6} d^{2} e^{4} - 280 \, b c^{5} d e^{5} - 159 \, b^{2} c^{4} e^{6}\right)} x^{4} + {\left(206 \, c^{6} d^{3} e^{3} - 3114 \, b c^{5} d^{2} e^{4} + 2893 \, b^{2} c^{4} d e^{5} + 15 \, b^{3} c^{3} e^{6}\right)} x^{3} + 3 \, {\left(683 \, c^{6} d^{4} e^{2} - 1328 \, b c^{5} d^{3} e^{3} + 601 \, b^{2} c^{4} d^{2} e^{4} + 50 \, b^{3} c^{3} d e^{5} - 6 \, b^{4} c^{2} e^{6}\right)} x^{2} - {\left(271 \, c^{6} d^{5} e - 965 \, b c^{5} d^{4} e^{2} + 1293 \, b^{2} c^{4} d^{3} e^{3} - 799 \, b^{3} c^{3} d^{2} e^{4} + 224 \, b^{4} c^{2} d e^{5} - 24 \, b^{5} c e^{6}\right)} x\right)} \sqrt{-c e x + c d - b e} g}{9009 \, c^{4} e^{2}}"," ",0,"2/693*(63*c^5*e^5*x^5 - 151*c^5*d^5 + 513*b*c^4*d^4*e - 641*b^2*c^3*d^3*e^2 + 355*b^3*c^2*d^2*e^3 - 84*b^4*c*d*e^4 + 8*b^5*e^5 - 7*(c^5*d*e^4 - 23*b*c^4*e^5)*x^4 - (206*c^5*d^2*e^3 - 192*b*c^4*d*e^4 - 113*b^2*c^3*e^5)*x^3 + 3*(10*c^5*d^3*e^2 - 118*b*c^4*d^2*e^3 + 107*b^2*c^3*d*e^4 + b^3*c^2*e^5)*x^2 + (271*c^5*d^4*e - 512*b*c^4*d^3*e^2 + 207*b^2*c^3*d^2*e^3 + 38*b^3*c^2*d*e^4 - 4*b^4*c*e^5)*x)*sqrt(-c*e*x + c*d - b*e)*f/(c^3*e) + 2/9009*(693*c^6*e^6*x^6 - 542*c^6*d^6 + 2472*b*c^5*d^5*e - 4516*b^2*c^4*d^4*e^2 + 4184*b^3*c^3*d^3*e^3 - 2046*b^4*c^2*d^2*e^4 + 496*b^5*c*d*e^5 - 48*b^6*e^6 - 63*(c^6*d*e^5 - 27*b*c^5*e^6)*x^5 - 7*(296*c^6*d^2*e^4 - 280*b*c^5*d*e^5 - 159*b^2*c^4*e^6)*x^4 + (206*c^6*d^3*e^3 - 3114*b*c^5*d^2*e^4 + 2893*b^2*c^4*d*e^5 + 15*b^3*c^3*e^6)*x^3 + 3*(683*c^6*d^4*e^2 - 1328*b*c^5*d^3*e^3 + 601*b^2*c^4*d^2*e^4 + 50*b^3*c^3*d*e^5 - 6*b^4*c^2*e^6)*x^2 - (271*c^6*d^5*e - 965*b*c^5*d^4*e^2 + 1293*b^2*c^4*d^3*e^3 - 799*b^3*c^3*d^2*e^4 + 224*b^4*c^2*d*e^5 - 24*b^5*c*e^6)*x)*sqrt(-c*e*x + c*d - b*e)*g/(c^4*e^2)","B",0
2254,1,465,0,0.892447," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, c^{4} e^{4} x^{4} - 11 \, c^{4} d^{4} + 35 \, b c^{3} d^{3} e - 39 \, b^{2} c^{2} d^{2} e^{2} + 17 \, b^{3} c d e^{3} - 2 \, b^{4} e^{4} - {\left(10 \, c^{4} d e^{3} - 19 \, b c^{3} e^{4}\right)} x^{3} - 3 \, {\left(4 \, c^{4} d^{2} e^{2} + b c^{3} d e^{3} - 5 \, b^{2} c^{2} e^{4}\right)} x^{2} + {\left(26 \, c^{4} d^{3} e - 51 \, b c^{3} d^{2} e^{2} + 24 \, b^{2} c^{2} d e^{3} + b^{3} c e^{4}\right)} x\right)} \sqrt{-c e x + c d - b e} f}{63 \, c^{2} e} + \frac{2 \, {\left(63 \, c^{5} e^{5} x^{5} - 30 \, c^{5} d^{5} + 128 \, b c^{4} d^{4} e - 212 \, b^{2} c^{3} d^{3} e^{2} + 168 \, b^{3} c^{2} d^{2} e^{3} - 62 \, b^{4} c d e^{4} + 8 \, b^{5} e^{5} - 7 \, {\left(12 \, c^{5} d e^{4} - 23 \, b c^{4} e^{5}\right)} x^{4} - {\left(96 \, c^{5} d^{2} e^{3} + 17 \, b c^{4} d e^{4} - 113 \, b^{2} c^{3} e^{5}\right)} x^{3} + 3 \, {\left(54 \, c^{5} d^{3} e^{2} - 107 \, b c^{4} d^{2} e^{3} + 52 \, b^{2} c^{3} d e^{4} + b^{3} c^{2} e^{5}\right)} x^{2} - {\left(15 \, c^{5} d^{4} e - 49 \, b c^{4} d^{3} e^{2} + 57 \, b^{2} c^{3} d^{2} e^{3} - 27 \, b^{3} c^{2} d e^{4} + 4 \, b^{4} c e^{5}\right)} x\right)} \sqrt{-c e x + c d - b e} g}{693 \, c^{3} e^{2}}"," ",0,"2/63*(7*c^4*e^4*x^4 - 11*c^4*d^4 + 35*b*c^3*d^3*e - 39*b^2*c^2*d^2*e^2 + 17*b^3*c*d*e^3 - 2*b^4*e^4 - (10*c^4*d*e^3 - 19*b*c^3*e^4)*x^3 - 3*(4*c^4*d^2*e^2 + b*c^3*d*e^3 - 5*b^2*c^2*e^4)*x^2 + (26*c^4*d^3*e - 51*b*c^3*d^2*e^2 + 24*b^2*c^2*d*e^3 + b^3*c*e^4)*x)*sqrt(-c*e*x + c*d - b*e)*f/(c^2*e) + 2/693*(63*c^5*e^5*x^5 - 30*c^5*d^5 + 128*b*c^4*d^4*e - 212*b^2*c^3*d^3*e^2 + 168*b^3*c^2*d^2*e^3 - 62*b^4*c*d*e^4 + 8*b^5*e^5 - 7*(12*c^5*d*e^4 - 23*b*c^4*e^5)*x^4 - (96*c^5*d^2*e^3 + 17*b*c^4*d*e^4 - 113*b^2*c^3*e^5)*x^3 + 3*(54*c^5*d^3*e^2 - 107*b*c^4*d^2*e^3 + 52*b^2*c^3*d*e^4 + b^3*c^2*e^5)*x^2 - (15*c^5*d^4*e - 49*b*c^4*d^3*e^2 + 57*b^2*c^3*d^2*e^3 - 27*b^3*c^2*d*e^4 + 4*b^4*c*e^5)*x)*sqrt(-c*e*x + c*d - b*e)*g/(c^3*e^2)","B",0
2255,1,314,0,0.737476," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{3} e^{3} x^{3} - c^{3} d^{3} + 3 \, b c^{2} d^{2} e - 3 \, b^{2} c d e^{2} + b^{3} e^{3} - 3 \, {\left(c^{3} d e^{2} - b c^{2} e^{3}\right)} x^{2} + 3 \, {\left(c^{3} d^{2} e - 2 \, b c^{2} d e^{2} + b^{2} c e^{3}\right)} x\right)} \sqrt{-c e x + c d - b e} f}{7 \, c e} + \frac{2 \, {\left(7 \, c^{4} e^{4} x^{4} - 2 \, c^{4} d^{4} + 8 \, b c^{3} d^{3} e - 12 \, b^{2} c^{2} d^{2} e^{2} + 8 \, b^{3} c d e^{3} - 2 \, b^{4} e^{4} - 19 \, {\left(c^{4} d e^{3} - b c^{3} e^{4}\right)} x^{3} + 15 \, {\left(c^{4} d^{2} e^{2} - 2 \, b c^{3} d e^{3} + b^{2} c^{2} e^{4}\right)} x^{2} - {\left(c^{4} d^{3} e - 3 \, b c^{3} d^{2} e^{2} + 3 \, b^{2} c^{2} d e^{3} - b^{3} c e^{4}\right)} x\right)} \sqrt{-c e x + c d - b e} g}{63 \, c^{2} e^{2}}"," ",0,"2/7*(c^3*e^3*x^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + b^3*e^3 - 3*(c^3*d*e^2 - b*c^2*e^3)*x^2 + 3*(c^3*d^2*e - 2*b*c^2*d*e^2 + b^2*c*e^3)*x)*sqrt(-c*e*x + c*d - b*e)*f/(c*e) + 2/63*(7*c^4*e^4*x^4 - 2*c^4*d^4 + 8*b*c^3*d^3*e - 12*b^2*c^2*d^2*e^2 + 8*b^3*c*d*e^3 - 2*b^4*e^4 - 19*(c^4*d*e^3 - b*c^3*e^4)*x^3 + 15*(c^4*d^2*e^2 - 2*b*c^3*d*e^3 + b^2*c^2*e^4)*x^2 - (c^4*d^3*e - 3*b*c^3*d^2*e^2 + 3*b^2*c^2*d*e^3 - b^3*c*e^4)*x)*sqrt(-c*e*x + c*d - b*e)*g/(c^2*e^2)","B",0
2256,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*(g*x + f)/(e*x + d)^(7/2), x)","F",0
2257,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*(g*x + f)/(e*x + d)^(9/2), x)","F",0
2258,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*(g*x + f)/(e*x + d)^(11/2), x)","F",0
2259,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*(g*x + f)/(e*x + d)^(13/2), x)","F",0
2260,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(15/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*(g*x + f)/(e*x + d)^(15/2), x)","F",0
2261,0,0,0,0.000000," ","integrate((g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2)/(e*x+d)^(17/2),x, algorithm=""maxima"")","\int \frac{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} {\left(g x + f\right)}}{{\left(e x + d\right)}^{\frac{17}{2}}}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*(g*x + f)/(e*x + d)^(17/2), x)","F",0
2262,1,319,0,0.721132," ","integrate((e*x+d)^(5/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, c^{3} e^{3} x^{3} - 43 \, c^{3} d^{3} + 79 \, b c^{2} d^{2} e - 44 \, b^{2} c d e^{2} + 8 \, b^{3} e^{3} + {\left(11 \, c^{3} d e^{2} - b c^{2} e^{3}\right)} x^{2} + {\left(29 \, c^{3} d^{2} e - 18 \, b c^{2} d e^{2} + 4 \, b^{2} c e^{3}\right)} x\right)} f}{15 \, \sqrt{-c e x + c d - b e} c^{3} e} + \frac{2 \, {\left(15 \, c^{4} e^{4} x^{4} - 230 \, c^{4} d^{4} + 668 \, b c^{3} d^{3} e - 694 \, b^{2} c^{2} d^{2} e^{2} + 304 \, b^{3} c d e^{3} - 48 \, b^{4} e^{4} + 3 \, {\left(15 \, c^{4} d e^{3} - b c^{3} e^{4}\right)} x^{3} + {\left(55 \, c^{4} d^{2} e^{2} - 26 \, b c^{3} d e^{3} + 6 \, b^{2} c^{2} e^{4}\right)} x^{2} + {\left(115 \, c^{4} d^{3} e - 219 \, b c^{3} d^{2} e^{2} + 128 \, b^{2} c^{2} d e^{3} - 24 \, b^{3} c e^{4}\right)} x\right)} g}{105 \, \sqrt{-c e x + c d - b e} c^{4} e^{2}}"," ",0,"2/15*(3*c^3*e^3*x^3 - 43*c^3*d^3 + 79*b*c^2*d^2*e - 44*b^2*c*d*e^2 + 8*b^3*e^3 + (11*c^3*d*e^2 - b*c^2*e^3)*x^2 + (29*c^3*d^2*e - 18*b*c^2*d*e^2 + 4*b^2*c*e^3)*x)*f/(sqrt(-c*e*x + c*d - b*e)*c^3*e) + 2/105*(15*c^4*e^4*x^4 - 230*c^4*d^4 + 668*b*c^3*d^3*e - 694*b^2*c^2*d^2*e^2 + 304*b^3*c*d*e^3 - 48*b^4*e^4 + 3*(15*c^4*d*e^3 - b*c^3*e^4)*x^3 + (55*c^4*d^2*e^2 - 26*b*c^3*d*e^3 + 6*b^2*c^2*e^4)*x^2 + (115*c^4*d^3*e - 219*b*c^3*d^2*e^2 + 128*b^2*c^2*d*e^3 - 24*b^3*c*e^4)*x)*g/(sqrt(-c*e*x + c*d - b*e)*c^4*e^2)","A",0
2263,1,201,0,0.868437," ","integrate((e*x+d)^(3/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} e^{2} x^{2} - 5 \, c^{2} d^{2} + 7 \, b c d e - 2 \, b^{2} e^{2} + {\left(4 \, c^{2} d e - b c e^{2}\right)} x\right)} f}{3 \, \sqrt{-c e x + c d - b e} c^{2} e} + \frac{2 \, {\left(3 \, c^{3} e^{3} x^{3} - 18 \, c^{3} d^{3} + 44 \, b c^{2} d^{2} e - 34 \, b^{2} c d e^{2} + 8 \, b^{3} e^{3} + {\left(6 \, c^{3} d e^{2} - b c^{2} e^{3}\right)} x^{2} + {\left(9 \, c^{3} d^{2} e - 13 \, b c^{2} d e^{2} + 4 \, b^{2} c e^{3}\right)} x\right)} g}{15 \, \sqrt{-c e x + c d - b e} c^{3} e^{2}}"," ",0,"2/3*(c^2*e^2*x^2 - 5*c^2*d^2 + 7*b*c*d*e - 2*b^2*e^2 + (4*c^2*d*e - b*c*e^2)*x)*f/(sqrt(-c*e*x + c*d - b*e)*c^2*e) + 2/15*(3*c^3*e^3*x^3 - 18*c^3*d^3 + 44*b*c^2*d^2*e - 34*b^2*c*d*e^2 + 8*b^3*e^3 + (6*c^3*d*e^2 - b*c^2*e^3)*x^2 + (9*c^3*d^2*e - 13*b*c^2*d*e^2 + 4*b^2*c*e^3)*x)*g/(sqrt(-c*e*x + c*d - b*e)*c^3*e^2)","A",0
2264,1,110,0,0.740669," ","integrate((e*x+d)^(1/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c e x - c d + b e\right)} f}{\sqrt{-c e x + c d - b e} c e} + \frac{2 \, {\left(c^{2} e^{2} x^{2} - 2 \, c^{2} d^{2} + 4 \, b c d e - 2 \, b^{2} e^{2} + {\left(c^{2} d e - b c e^{2}\right)} x\right)} g}{3 \, \sqrt{-c e x + c d - b e} c^{2} e^{2}}"," ",0,"2*(c*e*x - c*d + b*e)*f/(sqrt(-c*e*x + c*d - b*e)*c*e) + 2/3*(c^2*e^2*x^2 - 2*c^2*d^2 + 4*b*c*d*e - 2*b^2*e^2 + (c^2*d*e - b*c*e^2)*x)*g/(sqrt(-c*e*x + c*d - b*e)*c^2*e^2)","A",0
2265,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^(1/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{g x + f}{\sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((g*x + f)/(sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)*sqrt(e*x + d)), x)","F",0
2266,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^(3/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{g x + f}{\sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)/(sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)*(e*x + d)^(3/2)), x)","F",0
2267,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^(5/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{g x + f}{\sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((g*x + f)/(sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)*(e*x + d)^(5/2)), x)","F",0
2268,1,317,0,0.737136," ","integrate((e*x+d)^(9/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(c^{3} e^{3} x^{3} - 91 \, c^{3} d^{3} + 158 \, b c^{2} d^{2} e - 88 \, b^{2} c d e^{2} + 16 \, b^{3} e^{3} + {\left(7 \, c^{3} d e^{2} - 2 \, b c^{2} e^{3}\right)} x^{2} + {\left(43 \, c^{3} d^{2} e - 36 \, b c^{2} d e^{2} + 8 \, b^{2} c e^{3}\right)} x\right)} f}{5 \, \sqrt{-c e x + c d - b e} c^{4} e} - \frac{2 \, {\left(5 \, c^{4} e^{4} x^{4} - 814 \, c^{4} d^{4} + 2150 \, b c^{3} d^{3} e - 2056 \, b^{2} c^{2} d^{2} e^{2} + 848 \, b^{3} c d e^{3} - 128 \, b^{4} e^{4} + {\left(29 \, c^{4} d e^{3} - 8 \, b c^{3} e^{4}\right)} x^{3} + {\left(93 \, c^{4} d^{2} e^{2} - 74 \, b c^{3} d e^{3} + 16 \, b^{2} c^{2} e^{4}\right)} x^{2} + {\left(407 \, c^{4} d^{3} e - 668 \, b c^{3} d^{2} e^{2} + 360 \, b^{2} c^{2} d e^{3} - 64 \, b^{3} c e^{4}\right)} x\right)} g}{35 \, \sqrt{-c e x + c d - b e} c^{5} e^{2}}"," ",0,"-2/5*(c^3*e^3*x^3 - 91*c^3*d^3 + 158*b*c^2*d^2*e - 88*b^2*c*d*e^2 + 16*b^3*e^3 + (7*c^3*d*e^2 - 2*b*c^2*e^3)*x^2 + (43*c^3*d^2*e - 36*b*c^2*d*e^2 + 8*b^2*c*e^3)*x)*f/(sqrt(-c*e*x + c*d - b*e)*c^4*e) - 2/35*(5*c^4*e^4*x^4 - 814*c^4*d^4 + 2150*b*c^3*d^3*e - 2056*b^2*c^2*d^2*e^2 + 848*b^3*c*d*e^3 - 128*b^4*e^4 + (29*c^4*d*e^3 - 8*b*c^3*e^4)*x^3 + (93*c^4*d^2*e^2 - 74*b*c^3*d*e^3 + 16*b^2*c^2*e^4)*x^2 + (407*c^4*d^3*e - 668*b*c^3*d^2*e^2 + 360*b^2*c^2*d*e^3 - 64*b^3*c*e^4)*x)*g/(sqrt(-c*e*x + c*d - b*e)*c^5*e^2)","A",0
2269,1,203,0,0.729285," ","integrate((e*x+d)^(7/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(c^{2} e^{2} x^{2} - 23 \, c^{2} d^{2} + 28 \, b c d e - 8 \, b^{2} e^{2} + 2 \, {\left(5 \, c^{2} d e - 2 \, b c e^{2}\right)} x\right)} f}{3 \, \sqrt{-c e x + c d - b e} c^{3} e} - \frac{2 \, {\left(3 \, c^{3} e^{3} x^{3} - 158 \, c^{3} d^{3} + 334 \, b c^{2} d^{2} e - 224 \, b^{2} c d e^{2} + 48 \, b^{3} e^{3} + 2 \, {\left(8 \, c^{3} d e^{2} - 3 \, b c^{2} e^{3}\right)} x^{2} + {\left(79 \, c^{3} d^{2} e - 88 \, b c^{2} d e^{2} + 24 \, b^{2} c e^{3}\right)} x\right)} g}{15 \, \sqrt{-c e x + c d - b e} c^{4} e^{2}}"," ",0,"-2/3*(c^2*e^2*x^2 - 23*c^2*d^2 + 28*b*c*d*e - 8*b^2*e^2 + 2*(5*c^2*d*e - 2*b*c*e^2)*x)*f/(sqrt(-c*e*x + c*d - b*e)*c^3*e) - 2/15*(3*c^3*e^3*x^3 - 158*c^3*d^3 + 334*b*c^2*d^2*e - 224*b^2*c*d*e^2 + 48*b^3*e^3 + 2*(8*c^3*d*e^2 - 3*b*c^2*e^3)*x^2 + (79*c^3*d^2*e - 88*b*c^2*d*e^2 + 24*b^2*c*e^3)*x)*g/(sqrt(-c*e*x + c*d - b*e)*c^4*e^2)","A",0
2270,1,112,0,0.717439," ","integrate((e*x+d)^(5/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(c e x - 3 \, c d + 2 \, b e\right)} f}{\sqrt{-c e x + c d - b e} c^{2} e} - \frac{2 \, {\left(c^{2} e^{2} x^{2} - 14 \, c^{2} d^{2} + 22 \, b c d e - 8 \, b^{2} e^{2} + {\left(7 \, c^{2} d e - 4 \, b c e^{2}\right)} x\right)} g}{3 \, \sqrt{-c e x + c d - b e} c^{3} e^{2}}"," ",0,"-2*(c*e*x - 3*c*d + 2*b*e)*f/(sqrt(-c*e*x + c*d - b*e)*c^2*e) - 2/3*(c^2*e^2*x^2 - 14*c^2*d^2 + 22*b*c*d*e - 8*b^2*e^2 + (7*c^2*d*e - 4*b*c*e^2)*x)*g/(sqrt(-c*e*x + c*d - b*e)*c^3*e^2)","A",0
2271,1,62,0,0.736746," ","integrate((e*x+d)^(3/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, f}{\sqrt{-c e x + c d - b e} c e} - \frac{2 \, {\left(c e x - 2 \, c d + 2 \, b e\right)} g}{\sqrt{-c e x + c d - b e} c^{2} e^{2}}"," ",0,"2*f/(sqrt(-c*e*x + c*d - b*e)*c*e) - 2*(c*e*x - 2*c*d + 2*b*e)*g/(sqrt(-c*e*x + c*d - b*e)*c^2*e^2)","A",0
2272,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} {\left(g x + f\right)}}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(g*x + f)/(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2), x)","F",0
2273,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^(1/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{g x + f}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((g*x + f)/((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*sqrt(e*x + d)), x)","F",0
2274,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^(3/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{g x + f}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)/((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*(e*x + d)^(3/2)), x)","F",0
2275,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^(5/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{g x + f}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((g*x + f)/((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*(e*x + d)^(5/2)), x)","F",0
2276,1,511,0,1.096272," ","integrate((e*x+d)^(13/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, c^{4} e^{4} x^{4} + 723 \, c^{4} d^{4} - 1992 \, b c^{3} d^{3} e + 1968 \, b^{2} c^{2} d^{2} e^{2} - 832 \, b^{3} c d e^{3} + 128 \, b^{4} e^{4} + 4 \, {\left(7 \, c^{4} d e^{3} - 2 \, b c^{3} e^{4}\right)} x^{3} + 6 \, {\left(43 \, c^{4} d^{2} e^{2} - 36 \, b c^{3} d e^{3} + 8 \, b^{2} c^{2} e^{4}\right)} x^{2} - 12 \, {\left(91 \, c^{4} d^{3} e - 158 \, b c^{3} d^{2} e^{2} + 88 \, b^{2} c^{2} d e^{3} - 16 \, b^{3} c e^{4}\right)} x\right)} f}{15 \, {\left(c^{6} e^{2} x - c^{6} d e + b c^{5} e^{2}\right)} \sqrt{-c e x + c d - b e}} + \frac{2 \, {\left(15 \, c^{5} e^{5} x^{5} + 9414 \, c^{5} d^{5} - 33126 \, b c^{4} d^{4} e + 45504 \, b^{2} c^{3} d^{3} e^{2} - 30496 \, b^{3} c^{2} d^{2} e^{3} + 9984 \, b^{4} c d e^{4} - 1280 \, b^{5} e^{5} + 6 \, {\left(19 \, c^{5} d e^{4} - 5 \, b c^{4} e^{5}\right)} x^{4} + 2 \, {\left(257 \, c^{5} d^{2} e^{3} - 192 \, b c^{4} d e^{4} + 40 \, b^{2} c^{3} e^{5}\right)} x^{3} + 12 \, {\left(292 \, c^{5} d^{3} e^{2} - 449 \, b c^{4} d^{2} e^{3} + 232 \, b^{2} c^{3} d e^{4} - 40 \, b^{3} c^{2} e^{5}\right)} x^{2} - 3 \, {\left(4707 \, c^{5} d^{4} e - 11856 \, b c^{4} d^{3} e^{2} + 10896 \, b^{2} c^{3} d^{2} e^{3} - 4352 \, b^{3} c^{2} d e^{4} + 640 \, b^{4} c e^{5}\right)} x\right)} g}{105 \, {\left(c^{7} e^{3} x - c^{7} d e^{2} + b c^{6} e^{3}\right)} \sqrt{-c e x + c d - b e}}"," ",0,"2/15*(3*c^4*e^4*x^4 + 723*c^4*d^4 - 1992*b*c^3*d^3*e + 1968*b^2*c^2*d^2*e^2 - 832*b^3*c*d*e^3 + 128*b^4*e^4 + 4*(7*c^4*d*e^3 - 2*b*c^3*e^4)*x^3 + 6*(43*c^4*d^2*e^2 - 36*b*c^3*d*e^3 + 8*b^2*c^2*e^4)*x^2 - 12*(91*c^4*d^3*e - 158*b*c^3*d^2*e^2 + 88*b^2*c^2*d*e^3 - 16*b^3*c*e^4)*x)*f/((c^6*e^2*x - c^6*d*e + b*c^5*e^2)*sqrt(-c*e*x + c*d - b*e)) + 2/105*(15*c^5*e^5*x^5 + 9414*c^5*d^5 - 33126*b*c^4*d^4*e + 45504*b^2*c^3*d^3*e^2 - 30496*b^3*c^2*d^2*e^3 + 9984*b^4*c*d*e^4 - 1280*b^5*e^5 + 6*(19*c^5*d*e^4 - 5*b*c^4*e^5)*x^4 + 2*(257*c^5*d^2*e^3 - 192*b*c^4*d*e^4 + 40*b^2*c^3*e^5)*x^3 + 12*(292*c^5*d^3*e^2 - 449*b*c^4*d^2*e^3 + 232*b^2*c^3*d*e^4 - 40*b^3*c^2*e^5)*x^2 - 3*(4707*c^5*d^4*e - 11856*b*c^4*d^3*e^2 + 10896*b^2*c^3*d^2*e^3 - 4352*b^3*c^2*d*e^4 + 640*b^4*c*e^5)*x)*g/((c^7*e^3*x - c^7*d*e^2 + b*c^6*e^3)*sqrt(-c*e*x + c*d - b*e))","A",0
2277,1,363,0,0.965251," ","integrate((e*x+d)^(11/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{3} e^{3} x^{3} + 45 \, c^{3} d^{3} - 102 \, b c^{2} d^{2} e + 72 \, b^{2} c d e^{2} - 16 \, b^{3} e^{3} + 3 \, {\left(5 \, c^{3} d e^{2} - 2 \, b c^{2} e^{3}\right)} x^{2} - 3 \, {\left(23 \, c^{3} d^{2} e - 28 \, b c^{2} d e^{2} + 8 \, b^{2} c e^{3}\right)} x\right)} f}{3 \, {\left(c^{5} e^{2} x - c^{5} d e + b c^{4} e^{2}\right)} \sqrt{-c e x + c d - b e}} + \frac{2 \, {\left(3 \, c^{4} e^{4} x^{4} + 498 \, c^{4} d^{4} - 1482 \, b c^{3} d^{3} e + 1608 \, b^{2} c^{2} d^{2} e^{2} - 752 \, b^{3} c d e^{3} + 128 \, b^{4} e^{4} + {\left(23 \, c^{4} d e^{3} - 8 \, b c^{3} e^{4}\right)} x^{3} + 3 \, {\left(61 \, c^{4} d^{2} e^{2} - 62 \, b c^{3} d e^{3} + 16 \, b^{2} c^{2} e^{4}\right)} x^{2} - 3 \, {\left(249 \, c^{4} d^{3} e - 492 \, b c^{3} d^{2} e^{2} + 312 \, b^{2} c^{2} d e^{3} - 64 \, b^{3} c e^{4}\right)} x\right)} g}{15 \, {\left(c^{6} e^{3} x - c^{6} d e^{2} + b c^{5} e^{3}\right)} \sqrt{-c e x + c d - b e}}"," ",0,"2/3*(c^3*e^3*x^3 + 45*c^3*d^3 - 102*b*c^2*d^2*e + 72*b^2*c*d*e^2 - 16*b^3*e^3 + 3*(5*c^3*d*e^2 - 2*b*c^2*e^3)*x^2 - 3*(23*c^3*d^2*e - 28*b*c^2*d*e^2 + 8*b^2*c*e^3)*x)*f/((c^5*e^2*x - c^5*d*e + b*c^4*e^2)*sqrt(-c*e*x + c*d - b*e)) + 2/15*(3*c^4*e^4*x^4 + 498*c^4*d^4 - 1482*b*c^3*d^3*e + 1608*b^2*c^2*d^2*e^2 - 752*b^3*c*d*e^3 + 128*b^4*e^4 + (23*c^4*d*e^3 - 8*b*c^3*e^4)*x^3 + 3*(61*c^4*d^2*e^2 - 62*b*c^3*d*e^3 + 16*b^2*c^2*e^4)*x^2 - 3*(249*c^4*d^3*e - 492*b*c^3*d^2*e^2 + 312*b^2*c^2*d*e^3 - 64*b^3*c*e^4)*x)*g/((c^6*e^3*x - c^6*d*e^2 + b*c^5*e^3)*sqrt(-c*e*x + c*d - b*e))","A",0
2278,1,246,0,0.964295," ","integrate((e*x+d)^(9/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, c^{2} e^{2} x^{2} + 11 \, c^{2} d^{2} - 20 \, b c d e + 8 \, b^{2} e^{2} - 6 \, {\left(3 \, c^{2} d e - 2 \, b c e^{2}\right)} x\right)} f}{3 \, {\left(c^{4} e^{2} x - c^{4} d e + b c^{3} e^{2}\right)} \sqrt{-c e x + c d - b e}} + \frac{2 \, {\left(c^{3} e^{3} x^{3} + 34 \, c^{3} d^{3} - 82 \, b c^{2} d^{2} e + 64 \, b^{2} c d e^{2} - 16 \, b^{3} e^{3} + 6 \, {\left(2 \, c^{3} d e^{2} - b c^{2} e^{3}\right)} x^{2} - 3 \, {\left(17 \, c^{3} d^{2} e - 24 \, b c^{2} d e^{2} + 8 \, b^{2} c e^{3}\right)} x\right)} g}{3 \, {\left(c^{5} e^{3} x - c^{5} d e^{2} + b c^{4} e^{3}\right)} \sqrt{-c e x + c d - b e}}"," ",0,"2/3*(3*c^2*e^2*x^2 + 11*c^2*d^2 - 20*b*c*d*e + 8*b^2*e^2 - 6*(3*c^2*d*e - 2*b*c*e^2)*x)*f/((c^4*e^2*x - c^4*d*e + b*c^3*e^2)*sqrt(-c*e*x + c*d - b*e)) + 2/3*(c^3*e^3*x^3 + 34*c^3*d^3 - 82*b*c^2*d^2*e + 64*b^2*c*d*e^2 - 16*b^3*e^3 + 6*(2*c^3*d*e^2 - b*c^2*e^3)*x^2 - 3*(17*c^3*d^2*e - 24*b*c^2*d*e^2 + 8*b^2*c*e^3)*x)*g/((c^5*e^3*x - c^5*d*e^2 + b*c^4*e^3)*sqrt(-c*e*x + c*d - b*e))","A",0
2279,1,157,0,0.928987," ","integrate((e*x+d)^(7/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, c e x - c d + 2 \, b e\right)} f}{3 \, {\left(c^{3} e^{2} x - c^{3} d e + b c^{2} e^{2}\right)} \sqrt{-c e x + c d - b e}} + \frac{2 \, {\left(3 \, c^{2} e^{2} x^{2} + 10 \, c^{2} d^{2} - 18 \, b c d e + 8 \, b^{2} e^{2} - 3 \, {\left(5 \, c^{2} d e - 4 \, b c e^{2}\right)} x\right)} g}{3 \, {\left(c^{4} e^{3} x - c^{4} d e^{2} + b c^{3} e^{3}\right)} \sqrt{-c e x + c d - b e}}"," ",0,"-2/3*(3*c*e*x - c*d + 2*b*e)*f/((c^3*e^2*x - c^3*d*e + b*c^2*e^2)*sqrt(-c*e*x + c*d - b*e)) + 2/3*(3*c^2*e^2*x^2 + 10*c^2*d^2 - 18*b*c*d*e + 8*b^2*e^2 - 3*(5*c^2*d*e - 4*b*c*e^2)*x)*g/((c^4*e^3*x - c^4*d*e^2 + b*c^3*e^3)*sqrt(-c*e*x + c*d - b*e))","A",0
2280,1,103,0,0.970735," ","integrate((e*x+d)^(5/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, c e x - 2 \, c d + 2 \, b e\right)} g}{3 \, {\left(c^{3} e^{3} x - c^{3} d e^{2} + b c^{2} e^{3}\right)} \sqrt{-c e x + c d - b e}} - \frac{2 \, f}{3 \, {\left(c^{2} e^{2} x - c^{2} d e + b c e^{2}\right)} \sqrt{-c e x + c d - b e}}"," ",0,"-2/3*(3*c*e*x - 2*c*d + 2*b*e)*g/((c^3*e^3*x - c^3*d*e^2 + b*c^2*e^3)*sqrt(-c*e*x + c*d - b*e)) - 2/3*f/((c^2*e^2*x - c^2*d*e + b*c*e^2)*sqrt(-c*e*x + c*d - b*e))","A",0
2281,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(g*x + f)/(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2), x)","F",0
2282,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} {\left(g x + f\right)}}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(g*x + f)/(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2), x)","F",0
2283,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^(1/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{g x + f}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((g*x + f)/((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*sqrt(e*x + d)), x)","F",0
2284,0,0,0,0.000000," ","integrate((g*x+f)/(e*x+d)^(3/2)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{g x + f}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)/((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*(e*x + d)^(3/2)), x)","F",0
2285,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\int {\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}} {\left(g x + f\right)} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2)*(g*x + f)*(e*x + d)^m, x)","F",0
2286,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","\int {\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}} {\left(g x + f\right)} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2)*(g*x + f)*(e*x + d)^m, x)","F",0
2287,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e} {\left(g x + f\right)} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)*(g*x + f)*(e*x + d)^m, x)","F",0
2288,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)} {\left(e x + d\right)}^{m}}{\sqrt{-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e}}\,{d x}"," ",0,"integrate((g*x + f)*(e*x + d)^m/sqrt(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e), x)","F",0
2289,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)} {\left(e x + d\right)}^{m}}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)*(e*x + d)^m/(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(3/2), x)","F",0
2290,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)/(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)} {\left(e x + d\right)}^{m}}{{\left(-c e^{2} x^{2} - b e^{2} x + c d^{2} - b d e\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((g*x + f)*(e*x + d)^m/(-c*e^2*x^2 - b*e^2*x + c*d^2 - b*d*e)^(5/2), x)","F",0
2291,1,64,0,0.796003," ","integrate((e*x+d)^m*(c*d*m-b*e*(1+m+p)-c*e*(2+m+2*p)*x)*(-c*e^2*x^2-b*e^2*x-b*d*e+c*d^2)^p,x, algorithm=""maxima"")","-\frac{{\left(c e^{2} x^{2} + b e^{2} x - c d^{2} + b d e\right)} e^{\left(p \log\left(-c e x + c d - b e\right) + m \log\left(e x + d\right) + p \log\left(e x + d\right)\right)}}{e}"," ",0,"-(c*e^2*x^2 + b*e^2*x - c*d^2 + b*d*e)*e^(p*log(-c*e*x + c*d - b*e) + m*log(e*x + d) + p*log(e*x + d))/e","A",0
2292,0,0,0,0.000000," ","integrate((e*x+d)^(-3-2*p)*(g*x+f)*(d*(d*g*p+d*g+e*f)+e*(2*d*g*p+3*d*g+e*f)*x+e^2*g*(2+p)*x^2)^p,x, algorithm=""maxima"")","\int {\left(g x + f\right)} {\left(e^{2} g {\left(p + 2\right)} x^{2} + {\left(2 \, d g p + e f + 3 \, d g\right)} e x + {\left(d g p + e f + d g\right)} d\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 3}\,{d x}"," ",0,"integrate((g*x + f)*(e^2*g*(p + 2)*x^2 + (2*d*g*p + e*f + 3*d*g)*e*x + (d*g*p + e*f + d*g)*d)^p*(e*x + d)^(-2*p - 3), x)","F",0
2293,1,268,0,0.649243," ","integrate((e*x+d)^2*(g*x+f)/(-c*g^2*x^2-b*g^2*x-b*f*g+c*f^2)^2,x, algorithm=""maxima"")","\frac{{\left(3 \, c^{2} e^{2} f^{2} + 2 \, {\left(c^{2} d e - 2 \, b c e^{2}\right)} f g - {\left(c^{2} d^{2} - b^{2} e^{2}\right)} g^{2}\right)} \log\left(c g x - c f + b g\right)}{4 \, c^{4} f^{2} g^{3} - 4 \, b c^{3} f g^{4} + b^{2} c^{2} g^{5}} + \frac{{\left(e^{2} f^{2} - 2 \, d e f g + d^{2} g^{2}\right)} \log\left(g x + f\right)}{4 \, c^{2} f^{2} g^{3} - 4 \, b c f g^{4} + b^{2} g^{5}} + \frac{c^{2} e^{2} f^{2} + 2 \, {\left(c^{2} d e - b c e^{2}\right)} f g + {\left(c^{2} d^{2} - 2 \, b c d e + b^{2} e^{2}\right)} g^{2}}{2 \, c^{4} f^{2} g^{3} - 3 \, b c^{3} f g^{4} + b^{2} c^{2} g^{5} - {\left(2 \, c^{4} f g^{4} - b c^{3} g^{5}\right)} x}"," ",0,"(3*c^2*e^2*f^2 + 2*(c^2*d*e - 2*b*c*e^2)*f*g - (c^2*d^2 - b^2*e^2)*g^2)*log(c*g*x - c*f + b*g)/(4*c^4*f^2*g^3 - 4*b*c^3*f*g^4 + b^2*c^2*g^5) + (e^2*f^2 - 2*d*e*f*g + d^2*g^2)*log(g*x + f)/(4*c^2*f^2*g^3 - 4*b*c*f*g^4 + b^2*g^5) + (c^2*e^2*f^2 + 2*(c^2*d*e - b*c*e^2)*f*g + (c^2*d^2 - 2*b*c*d*e + b^2*e^2)*g^2)/(2*c^4*f^2*g^3 - 3*b*c^3*f*g^4 + b^2*c^2*g^5 - (2*c^4*f*g^4 - b*c^3*g^5)*x)","A",0
2294,1,57,0,0.562497," ","integrate((1+x)^4*(b*x+a)*(x^2-x+1)^4,x, algorithm=""maxima"")","\frac{1}{14} \, b x^{14} + \frac{1}{13} \, a x^{13} + \frac{4}{11} \, b x^{11} + \frac{2}{5} \, a x^{10} + \frac{3}{4} \, b x^{8} + \frac{6}{7} \, a x^{7} + \frac{4}{5} \, b x^{5} + a x^{4} + \frac{1}{2} \, b x^{2} + a x"," ",0,"1/14*b*x^14 + 1/13*a*x^13 + 4/11*b*x^11 + 2/5*a*x^10 + 3/4*b*x^8 + 6/7*a*x^7 + 4/5*b*x^5 + a*x^4 + 1/2*b*x^2 + a*x","A",0
2295,1,46,0,0.555419," ","integrate((1+x)^3*(b*x+a)*(x^2-x+1)^3,x, algorithm=""maxima"")","\frac{1}{11} \, b x^{11} + \frac{1}{10} \, a x^{10} + \frac{3}{8} \, b x^{8} + \frac{3}{7} \, a x^{7} + \frac{3}{5} \, b x^{5} + \frac{3}{4} \, a x^{4} + \frac{1}{2} \, b x^{2} + a x"," ",0,"1/11*b*x^11 + 1/10*a*x^10 + 3/8*b*x^8 + 3/7*a*x^7 + 3/5*b*x^5 + 3/4*a*x^4 + 1/2*b*x^2 + a*x","A",0
2296,1,34,0,0.551120," ","integrate((1+x)^2*(b*x+a)*(x^2-x+1)^2,x, algorithm=""maxima"")","\frac{1}{8} \, b x^{8} + \frac{1}{7} \, a x^{7} + \frac{2}{5} \, b x^{5} + \frac{1}{2} \, a x^{4} + \frac{1}{2} \, b x^{2} + a x"," ",0,"1/8*b*x^8 + 1/7*a*x^7 + 2/5*b*x^5 + 1/2*a*x^4 + 1/2*b*x^2 + a*x","A",0
2297,1,22,0,0.515365," ","integrate((1+x)*(b*x+a)*(x^2-x+1),x, algorithm=""maxima"")","\frac{1}{5} \, b x^{5} + \frac{1}{4} \, a x^{4} + \frac{1}{2} \, b x^{2} + a x"," ",0,"1/5*b*x^5 + 1/4*a*x^4 + 1/2*b*x^2 + a*x","A",0
2298,1,47,0,1.318158," ","integrate((b*x+a)/(1+x)/(x^2-x+1),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} {\left(a + b\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{6} \, {\left(a - b\right)} \log\left(x^{2} - x + 1\right) + \frac{1}{3} \, {\left(a - b\right)} \log\left(x + 1\right)"," ",0,"1/3*sqrt(3)*(a + b)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/6*(a - b)*log(x^2 - x + 1) + 1/3*(a - b)*log(x + 1)","A",0
2299,1,71,0,1.355440," ","integrate((b*x+a)/(1+x)^2/(x^2-x+1)^2,x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} {\left(2 \, a + b\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{18} \, {\left(2 \, a - b\right)} \log\left(x^{2} - x + 1\right) + \frac{1}{9} \, {\left(2 \, a - b\right)} \log\left(x + 1\right) + \frac{b x^{2} + a x}{3 \, {\left(x^{3} + 1\right)}}"," ",0,"1/9*sqrt(3)*(2*a + b)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/18*(2*a - b)*log(x^2 - x + 1) + 1/9*(2*a - b)*log(x + 1) + 1/3*(b*x^2 + a*x)/(x^3 + 1)","A",0
2300,1,92,0,1.269369," ","integrate((b*x+a)/(1+x)^3/(x^2-x+1)^3,x, algorithm=""maxima"")","\frac{1}{27} \, \sqrt{3} {\left(5 \, a + 2 \, b\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{54} \, {\left(5 \, a - 2 \, b\right)} \log\left(x^{2} - x + 1\right) + \frac{1}{27} \, {\left(5 \, a - 2 \, b\right)} \log\left(x + 1\right) + \frac{4 \, b x^{5} + 5 \, a x^{4} + 7 \, b x^{2} + 8 \, a x}{18 \, {\left(x^{6} + 2 \, x^{3} + 1\right)}}"," ",0,"1/27*sqrt(3)*(5*a + 2*b)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/54*(5*a - 2*b)*log(x^2 - x + 1) + 1/27*(5*a - 2*b)*log(x + 1) + 1/18*(4*b*x^5 + 5*a*x^4 + 7*b*x^2 + 8*a*x)/(x^6 + 2*x^3 + 1)","A",0
2301,0,0,0,0.000000," ","integrate((1+x)^(3/2)*(b*x+a)*(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int {\left(b x + a\right)} {\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x + a)*(x^2 - x + 1)^(3/2)*(x + 1)^(3/2), x)","F",0
2302,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(b*x+a)*(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int {\left(b x + a\right)} \sqrt{x^{2} - x + 1} \sqrt{x + 1}\,{d x}"," ",0,"integrate((b*x + a)*sqrt(x^2 - x + 1)*sqrt(x + 1), x)","F",0
2303,0,0,0,0.000000," ","integrate((b*x+a)/(1+x)^(1/2)/(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{b x + a}{\sqrt{x^{2} - x + 1} \sqrt{x + 1}}\,{d x}"," ",0,"integrate((b*x + a)/(sqrt(x^2 - x + 1)*sqrt(x + 1)), x)","F",0
2304,0,0,0,0.000000," ","integrate((b*x+a)/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)/((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)), x)","F",0
2305,0,0,0,0.000000," ","integrate((b*x+a)/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""maxima"")","\int \frac{b x + a}{{\left(x^{2} - x + 1\right)}^{\frac{5}{2}} {\left(x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)/((x^2 - x + 1)^(5/2)*(x + 1)^(5/2)), x)","F",0
2306,1,244,0,0.479437," ","integrate((B*x+A)*(e*x+d)^4*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{8} \, B c e^{4} x^{8} + \frac{1}{7} \, {\left(4 \, B c d e^{3} + {\left(B b + A c\right)} e^{4}\right)} x^{7} + A a d^{4} x + \frac{1}{6} \, {\left(6 \, B c d^{2} e^{2} + 4 \, {\left(B b + A c\right)} d e^{3} + {\left(B a + A b\right)} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(4 \, B c d^{3} e + A a e^{4} + 6 \, {\left(B b + A c\right)} d^{2} e^{2} + 4 \, {\left(B a + A b\right)} d e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(B c d^{4} + 4 \, A a d e^{3} + 4 \, {\left(B b + A c\right)} d^{3} e + 6 \, {\left(B a + A b\right)} d^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, A a d^{2} e^{2} + {\left(B b + A c\right)} d^{4} + 4 \, {\left(B a + A b\right)} d^{3} e\right)} x^{3} + \frac{1}{2} \, {\left(4 \, A a d^{3} e + {\left(B a + A b\right)} d^{4}\right)} x^{2}"," ",0,"1/8*B*c*e^4*x^8 + 1/7*(4*B*c*d*e^3 + (B*b + A*c)*e^4)*x^7 + A*a*d^4*x + 1/6*(6*B*c*d^2*e^2 + 4*(B*b + A*c)*d*e^3 + (B*a + A*b)*e^4)*x^6 + 1/5*(4*B*c*d^3*e + A*a*e^4 + 6*(B*b + A*c)*d^2*e^2 + 4*(B*a + A*b)*d*e^3)*x^5 + 1/4*(B*c*d^4 + 4*A*a*d*e^3 + 4*(B*b + A*c)*d^3*e + 6*(B*a + A*b)*d^2*e^2)*x^4 + 1/3*(6*A*a*d^2*e^2 + (B*b + A*c)*d^4 + 4*(B*a + A*b)*d^3*e)*x^3 + 1/2*(4*A*a*d^3*e + (B*a + A*b)*d^4)*x^2","A",0
2307,1,188,0,0.495247," ","integrate((B*x+A)*(e*x+d)^3*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{7} \, B c e^{3} x^{7} + \frac{1}{6} \, {\left(3 \, B c d e^{2} + {\left(B b + A c\right)} e^{3}\right)} x^{6} + A a d^{3} x + \frac{1}{5} \, {\left(3 \, B c d^{2} e + 3 \, {\left(B b + A c\right)} d e^{2} + {\left(B a + A b\right)} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(B c d^{3} + A a e^{3} + 3 \, {\left(B b + A c\right)} d^{2} e + 3 \, {\left(B a + A b\right)} d e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, A a d e^{2} + {\left(B b + A c\right)} d^{3} + 3 \, {\left(B a + A b\right)} d^{2} e\right)} x^{3} + \frac{1}{2} \, {\left(3 \, A a d^{2} e + {\left(B a + A b\right)} d^{3}\right)} x^{2}"," ",0,"1/7*B*c*e^3*x^7 + 1/6*(3*B*c*d*e^2 + (B*b + A*c)*e^3)*x^6 + A*a*d^3*x + 1/5*(3*B*c*d^2*e + 3*(B*b + A*c)*d*e^2 + (B*a + A*b)*e^3)*x^5 + 1/4*(B*c*d^3 + A*a*e^3 + 3*(B*b + A*c)*d^2*e + 3*(B*a + A*b)*d*e^2)*x^4 + 1/3*(3*A*a*d*e^2 + (B*b + A*c)*d^3 + 3*(B*a + A*b)*d^2*e)*x^3 + 1/2*(3*A*a*d^2*e + (B*a + A*b)*d^3)*x^2","A",0
2308,1,132,0,0.557583," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{6} \, B c e^{2} x^{6} + \frac{1}{5} \, {\left(2 \, B c d e + {\left(B b + A c\right)} e^{2}\right)} x^{5} + A a d^{2} x + \frac{1}{4} \, {\left(B c d^{2} + 2 \, {\left(B b + A c\right)} d e + {\left(B a + A b\right)} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(A a e^{2} + {\left(B b + A c\right)} d^{2} + 2 \, {\left(B a + A b\right)} d e\right)} x^{3} + \frac{1}{2} \, {\left(2 \, A a d e + {\left(B a + A b\right)} d^{2}\right)} x^{2}"," ",0,"1/6*B*c*e^2*x^6 + 1/5*(2*B*c*d*e + (B*b + A*c)*e^2)*x^5 + A*a*d^2*x + 1/4*(B*c*d^2 + 2*(B*b + A*c)*d*e + (B*a + A*b)*e^2)*x^4 + 1/3*(A*a*e^2 + (B*b + A*c)*d^2 + 2*(B*a + A*b)*d*e)*x^3 + 1/2*(2*A*a*d*e + (B*a + A*b)*d^2)*x^2","A",0
2309,1,76,0,0.460533," ","integrate((B*x+A)*(e*x+d)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{5} \, B c e x^{5} + \frac{1}{4} \, {\left(B c d + {\left(B b + A c\right)} e\right)} x^{4} + A a d x + \frac{1}{3} \, {\left({\left(B b + A c\right)} d + {\left(B a + A b\right)} e\right)} x^{3} + \frac{1}{2} \, {\left(A a e + {\left(B a + A b\right)} d\right)} x^{2}"," ",0,"1/5*B*c*e*x^5 + 1/4*(B*c*d + (B*b + A*c)*e)*x^4 + A*a*d*x + 1/3*((B*b + A*c)*d + (B*a + A*b)*e)*x^3 + 1/2*(A*a*e + (B*a + A*b)*d)*x^2","A",0
2310,1,36,0,0.541100," ","integrate((B*x+A)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, B c x^{4} + \frac{1}{3} \, {\left(B b + A c\right)} x^{3} + A a x + \frac{1}{2} \, {\left(B a + A b\right)} x^{2}"," ",0,"1/4*B*c*x^4 + 1/3*(B*b + A*c)*x^3 + A*a*x + 1/2*(B*a + A*b)*x^2","A",0
2311,1,122,0,0.458883," ","integrate((B*x+A)*(c*x^2+b*x+a)/(e*x+d),x, algorithm=""maxima"")","\frac{2 \, B c e^{2} x^{3} - 3 \, {\left(B c d e - {\left(B b + A c\right)} e^{2}\right)} x^{2} + 6 \, {\left(B c d^{2} - {\left(B b + A c\right)} d e + {\left(B a + A b\right)} e^{2}\right)} x}{6 \, e^{3}} - \frac{{\left(B c d^{3} - A a e^{3} - {\left(B b + A c\right)} d^{2} e + {\left(B a + A b\right)} d e^{2}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(2*B*c*e^2*x^3 - 3*(B*c*d*e - (B*b + A*c)*e^2)*x^2 + 6*(B*c*d^2 - (B*b + A*c)*d*e + (B*a + A*b)*e^2)*x)/e^3 - (B*c*d^3 - A*a*e^3 - (B*b + A*c)*d^2*e + (B*a + A*b)*d*e^2)*log(e*x + d)/e^4","A",0
2312,1,126,0,0.543336," ","integrate((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B c d^{3} - A a e^{3} - {\left(B b + A c\right)} d^{2} e + {\left(B a + A b\right)} d e^{2}}{e^{5} x + d e^{4}} + \frac{B c e x^{2} - 2 \, {\left(2 \, B c d - {\left(B b + A c\right)} e\right)} x}{2 \, e^{3}} + \frac{{\left(3 \, B c d^{2} - 2 \, {\left(B b + A c\right)} d e + {\left(B a + A b\right)} e^{2}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"(B*c*d^3 - A*a*e^3 - (B*b + A*c)*d^2*e + (B*a + A*b)*d*e^2)/(e^5*x + d*e^4) + 1/2*(B*c*e*x^2 - 2*(2*B*c*d - (B*b + A*c)*e)*x)/e^3 + (3*B*c*d^2 - 2*(B*b + A*c)*d*e + (B*a + A*b)*e^2)*log(e*x + d)/e^4","A",0
2313,1,136,0,0.520361," ","integrate((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{5 \, B c d^{3} + A a e^{3} - 3 \, {\left(B b + A c\right)} d^{2} e + {\left(B a + A b\right)} d e^{2} + 2 \, {\left(3 \, B c d^{2} e - 2 \, {\left(B b + A c\right)} d e^{2} + {\left(B a + A b\right)} e^{3}\right)} x}{2 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} + \frac{B c x}{e^{3}} - \frac{{\left(3 \, B c d - {\left(B b + A c\right)} e\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"-1/2*(5*B*c*d^3 + A*a*e^3 - 3*(B*b + A*c)*d^2*e + (B*a + A*b)*d*e^2 + 2*(3*B*c*d^2*e - 2*(B*b + A*c)*d*e^2 + (B*a + A*b)*e^3)*x)/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) + B*c*x/e^3 - (3*B*c*d - (B*b + A*c)*e)*log(e*x + d)/e^4","A",0
2314,1,154,0,0.457730," ","integrate((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{11 \, B c d^{3} - 2 \, A a e^{3} - 2 \, {\left(B b + A c\right)} d^{2} e - {\left(B a + A b\right)} d e^{2} + 6 \, {\left(3 \, B c d e^{2} - {\left(B b + A c\right)} e^{3}\right)} x^{2} + 3 \, {\left(9 \, B c d^{2} e - 2 \, {\left(B b + A c\right)} d e^{2} - {\left(B a + A b\right)} e^{3}\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)}} + \frac{B c \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(11*B*c*d^3 - 2*A*a*e^3 - 2*(B*b + A*c)*d^2*e - (B*a + A*b)*d*e^2 + 6*(3*B*c*d*e^2 - (B*b + A*c)*e^3)*x^2 + 3*(9*B*c*d^2*e - 2*(B*b + A*c)*d*e^2 - (B*a + A*b)*e^3)*x)/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) + B*c*log(e*x + d)/e^4","A",0
2315,1,157,0,0.651895," ","integrate((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{12 \, B c e^{3} x^{3} + 3 \, B c d^{3} + 3 \, A a e^{3} + {\left(B b + A c\right)} d^{2} e + {\left(B a + A b\right)} d e^{2} + 6 \, {\left(3 \, B c d e^{2} + {\left(B b + A c\right)} e^{3}\right)} x^{2} + 4 \, {\left(3 \, B c d^{2} e + {\left(B b + A c\right)} d e^{2} + {\left(B a + A b\right)} e^{3}\right)} x}{12 \, {\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,"-1/12*(12*B*c*e^3*x^3 + 3*B*c*d^3 + 3*A*a*e^3 + (B*b + A*c)*d^2*e + (B*a + A*b)*d*e^2 + 6*(3*B*c*d*e^2 + (B*b + A*c)*e^3)*x^2 + 4*(3*B*c*d^2*e + (B*b + A*c)*d*e^2 + (B*a + A*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)","A",0
2316,1,173,0,0.571696," ","integrate((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{30 \, B c e^{3} x^{3} + 3 \, B c d^{3} + 12 \, A a e^{3} + 2 \, {\left(B b + A c\right)} d^{2} e + 3 \, {\left(B a + A b\right)} d e^{2} + 10 \, {\left(3 \, B c d e^{2} + 2 \, {\left(B b + A c\right)} e^{3}\right)} x^{2} + 5 \, {\left(3 \, B c d^{2} e + 2 \, {\left(B b + A c\right)} d e^{2} + 3 \, {\left(B a + A b\right)} e^{3}\right)} x}{60 \, {\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,"-1/60*(30*B*c*e^3*x^3 + 3*B*c*d^3 + 12*A*a*e^3 + 2*(B*b + A*c)*d^2*e + 3*(B*a + A*b)*d*e^2 + 10*(3*B*c*d*e^2 + 2*(B*b + A*c)*e^3)*x^2 + 5*(3*B*c*d^2*e + 2*(B*b + A*c)*d*e^2 + 3*(B*a + A*b)*e^3)*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)","A",0
2317,1,178,0,0.516477," ","integrate((B*x+A)*(c*x^2+b*x+a)/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{20 \, B c e^{3} x^{3} + B c d^{3} + 10 \, A a e^{3} + {\left(B b + A c\right)} d^{2} e + 2 \, {\left(B a + A b\right)} d e^{2} + 15 \, {\left(B c d e^{2} + {\left(B b + A c\right)} e^{3}\right)} x^{2} + 6 \, {\left(B c d^{2} e + {\left(B b + A c\right)} d e^{2} + 2 \, {\left(B a + A b\right)} e^{3}\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*B*c*e^3*x^3 + B*c*d^3 + 10*A*a*e^3 + (B*b + A*c)*d^2*e + 2*(B*a + A*b)*d*e^2 + 15*(B*c*d*e^2 + (B*b + A*c)*e^3)*x^2 + 6*(B*c*d^2*e + (B*b + A*c)*d*e^2 + 2*(B*a + A*b)*e^3)*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
2318,1,648,0,0.487555," ","integrate((B*x+A)*(e*x+d)^5*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{2} e^{5} x^{11} + \frac{1}{10} \, {\left(5 \, B c^{2} d e^{4} + {\left(2 \, B b c + A c^{2}\right)} e^{5}\right)} x^{10} + \frac{1}{9} \, {\left(10 \, B c^{2} d^{2} e^{3} + 5 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{5}\right)} x^{9} + A a^{2} d^{5} x + \frac{1}{8} \, {\left(10 \, B c^{2} d^{3} e^{2} + 10 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + 5 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{4} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{5}\right)} x^{8} + \frac{1}{7} \, {\left(5 \, B c^{2} d^{4} e + 10 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 10 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{3} + 5 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{4} + {\left(B a^{2} + 2 \, A a b\right)} e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(B c^{2} d^{5} + A a^{2} e^{5} + 5 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 10 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} + 10 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} + 5 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(5 \, A a^{2} d e^{4} + {\left(2 \, B b c + A c^{2}\right)} d^{5} + 5 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{4} e + 10 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{3} e^{2} + 10 \, {\left(B a^{2} + 2 \, A a b\right)} d^{2} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(10 \, A a^{2} d^{2} e^{3} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{5} + 5 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{4} e + 10 \, {\left(B a^{2} + 2 \, A a b\right)} d^{3} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, A a^{2} d^{3} e^{2} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{5} + 5 \, {\left(B a^{2} + 2 \, A a b\right)} d^{4} e\right)} x^{3} + \frac{1}{2} \, {\left(5 \, A a^{2} d^{4} e + {\left(B a^{2} + 2 \, A a b\right)} d^{5}\right)} x^{2}"," ",0,"1/11*B*c^2*e^5*x^11 + 1/10*(5*B*c^2*d*e^4 + (2*B*b*c + A*c^2)*e^5)*x^10 + 1/9*(10*B*c^2*d^2*e^3 + 5*(2*B*b*c + A*c^2)*d*e^4 + (B*b^2 + 2*(B*a + A*b)*c)*e^5)*x^9 + A*a^2*d^5*x + 1/8*(10*B*c^2*d^3*e^2 + 10*(2*B*b*c + A*c^2)*d^2*e^3 + 5*(B*b^2 + 2*(B*a + A*b)*c)*d*e^4 + (2*B*a*b + A*b^2 + 2*A*a*c)*e^5)*x^8 + 1/7*(5*B*c^2*d^4*e + 10*(2*B*b*c + A*c^2)*d^3*e^2 + 10*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e^3 + 5*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e^4 + (B*a^2 + 2*A*a*b)*e^5)*x^7 + 1/6*(B*c^2*d^5 + A*a^2*e^5 + 5*(2*B*b*c + A*c^2)*d^4*e + 10*(B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 + 10*(2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 + 5*(B*a^2 + 2*A*a*b)*d*e^4)*x^6 + 1/5*(5*A*a^2*d*e^4 + (2*B*b*c + A*c^2)*d^5 + 5*(B*b^2 + 2*(B*a + A*b)*c)*d^4*e + 10*(2*B*a*b + A*b^2 + 2*A*a*c)*d^3*e^2 + 10*(B*a^2 + 2*A*a*b)*d^2*e^3)*x^5 + 1/4*(10*A*a^2*d^2*e^3 + (B*b^2 + 2*(B*a + A*b)*c)*d^5 + 5*(2*B*a*b + A*b^2 + 2*A*a*c)*d^4*e + 10*(B*a^2 + 2*A*a*b)*d^3*e^2)*x^4 + 1/3*(10*A*a^2*d^3*e^2 + (2*B*a*b + A*b^2 + 2*A*a*c)*d^5 + 5*(B*a^2 + 2*A*a*b)*d^4*e)*x^3 + 1/2*(5*A*a^2*d^4*e + (B*a^2 + 2*A*a*b)*d^5)*x^2","B",0
2319,1,532,0,0.522722," ","integrate((B*x+A)*(e*x+d)^4*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{2} e^{4} x^{10} + \frac{1}{9} \, {\left(4 \, B c^{2} d e^{3} + {\left(2 \, B b c + A c^{2}\right)} e^{4}\right)} x^{9} + \frac{1}{8} \, {\left(6 \, B c^{2} d^{2} e^{2} + 4 \, {\left(2 \, B b c + A c^{2}\right)} d e^{3} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{4}\right)} x^{8} + A a^{2} d^{4} x + \frac{1}{7} \, {\left(4 \, B c^{2} d^{3} e + 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{2} + 4 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{3} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(B c^{2} d^{4} + 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 6 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{2} + 4 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{3} + {\left(B a^{2} + 2 \, A a b\right)} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(A a^{2} e^{4} + {\left(2 \, B b c + A c^{2}\right)} d^{4} + 4 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e + 6 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{2} + 4 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(4 \, A a^{2} d e^{3} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{4} + 4 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{3} e + 6 \, {\left(B a^{2} + 2 \, A a b\right)} d^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, A a^{2} d^{2} e^{2} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{4} + 4 \, {\left(B a^{2} + 2 \, A a b\right)} d^{3} e\right)} x^{3} + \frac{1}{2} \, {\left(4 \, A a^{2} d^{3} e + {\left(B a^{2} + 2 \, A a b\right)} d^{4}\right)} x^{2}"," ",0,"1/10*B*c^2*e^4*x^10 + 1/9*(4*B*c^2*d*e^3 + (2*B*b*c + A*c^2)*e^4)*x^9 + 1/8*(6*B*c^2*d^2*e^2 + 4*(2*B*b*c + A*c^2)*d*e^3 + (B*b^2 + 2*(B*a + A*b)*c)*e^4)*x^8 + A*a^2*d^4*x + 1/7*(4*B*c^2*d^3*e + 6*(2*B*b*c + A*c^2)*d^2*e^2 + 4*(B*b^2 + 2*(B*a + A*b)*c)*d*e^3 + (2*B*a*b + A*b^2 + 2*A*a*c)*e^4)*x^7 + 1/6*(B*c^2*d^4 + 4*(2*B*b*c + A*c^2)*d^3*e + 6*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e^2 + 4*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e^3 + (B*a^2 + 2*A*a*b)*e^4)*x^6 + 1/5*(A*a^2*e^4 + (2*B*b*c + A*c^2)*d^4 + 4*(B*b^2 + 2*(B*a + A*b)*c)*d^3*e + 6*(2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^2 + 4*(B*a^2 + 2*A*a*b)*d*e^3)*x^5 + 1/4*(4*A*a^2*d*e^3 + (B*b^2 + 2*(B*a + A*b)*c)*d^4 + 4*(2*B*a*b + A*b^2 + 2*A*a*c)*d^3*e + 6*(B*a^2 + 2*A*a*b)*d^2*e^2)*x^4 + 1/3*(6*A*a^2*d^2*e^2 + (2*B*a*b + A*b^2 + 2*A*a*c)*d^4 + 4*(B*a^2 + 2*A*a*b)*d^3*e)*x^3 + 1/2*(4*A*a^2*d^3*e + (B*a^2 + 2*A*a*b)*d^4)*x^2","A",0
2320,1,416,0,0.472878," ","integrate((B*x+A)*(e*x+d)^3*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{2} e^{3} x^{9} + \frac{1}{8} \, {\left(3 \, B c^{2} d e^{2} + {\left(2 \, B b c + A c^{2}\right)} e^{3}\right)} x^{8} + \frac{1}{7} \, {\left(3 \, B c^{2} d^{2} e + 3 \, {\left(2 \, B b c + A c^{2}\right)} d e^{2} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{3}\right)} x^{7} + A a^{2} d^{3} x + \frac{1}{6} \, {\left(B c^{2} d^{3} + 3 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{2} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{3}\right)} x^{6} + \frac{1}{5} \, {\left({\left(2 \, B b c + A c^{2}\right)} d^{3} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e + 3 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{2} + {\left(B a^{2} + 2 \, A a b\right)} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(A a^{2} e^{3} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} + 3 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e + 3 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, A a^{2} d e^{2} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} d^{2} e\right)} x^{3} + \frac{1}{2} \, {\left(3 \, A a^{2} d^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} x^{2}"," ",0,"1/9*B*c^2*e^3*x^9 + 1/8*(3*B*c^2*d*e^2 + (2*B*b*c + A*c^2)*e^3)*x^8 + 1/7*(3*B*c^2*d^2*e + 3*(2*B*b*c + A*c^2)*d*e^2 + (B*b^2 + 2*(B*a + A*b)*c)*e^3)*x^7 + A*a^2*d^3*x + 1/6*(B*c^2*d^3 + 3*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*(B*a + A*b)*c)*d*e^2 + (2*B*a*b + A*b^2 + 2*A*a*c)*e^3)*x^6 + 1/5*((2*B*b*c + A*c^2)*d^3 + 3*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e + 3*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e^2 + (B*a^2 + 2*A*a*b)*e^3)*x^5 + 1/4*(A*a^2*e^3 + (B*b^2 + 2*(B*a + A*b)*c)*d^3 + 3*(2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e + 3*(B*a^2 + 2*A*a*b)*d*e^2)*x^4 + 1/3*(3*A*a^2*d*e^2 + (2*B*a*b + A*b^2 + 2*A*a*c)*d^3 + 3*(B*a^2 + 2*A*a*b)*d^2*e)*x^3 + 1/2*(3*A*a^2*d^2*e + (B*a^2 + 2*A*a*b)*d^3)*x^2","A",0
2321,1,300,0,0.470572," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{2} e^{2} x^{8} + \frac{1}{7} \, {\left(2 \, B c^{2} d e + {\left(2 \, B b c + A c^{2}\right)} e^{2}\right)} x^{7} + \frac{1}{6} \, {\left(B c^{2} d^{2} + 2 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{2}\right)} x^{6} + A a^{2} d^{2} x + \frac{1}{5} \, {\left({\left(2 \, B b c + A c^{2}\right)} d^{2} + 2 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{2}\right)} x^{5} + \frac{1}{4} \, {\left({\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} + 2 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e + {\left(B a^{2} + 2 \, A a b\right)} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(A a^{2} e^{2} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} d e\right)} x^{3} + \frac{1}{2} \, {\left(2 \, A a^{2} d e + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} x^{2}"," ",0,"1/8*B*c^2*e^2*x^8 + 1/7*(2*B*c^2*d*e + (2*B*b*c + A*c^2)*e^2)*x^7 + 1/6*(B*c^2*d^2 + 2*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*(B*a + A*b)*c)*e^2)*x^6 + A*a^2*d^2*x + 1/5*((2*B*b*c + A*c^2)*d^2 + 2*(B*b^2 + 2*(B*a + A*b)*c)*d*e + (2*B*a*b + A*b^2 + 2*A*a*c)*e^2)*x^5 + 1/4*((B*b^2 + 2*(B*a + A*b)*c)*d^2 + 2*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e + (B*a^2 + 2*A*a*b)*e^2)*x^4 + 1/3*(A*a^2*e^2 + (2*B*a*b + A*b^2 + 2*A*a*c)*d^2 + 2*(B*a^2 + 2*A*a*b)*d*e)*x^3 + 1/2*(2*A*a^2*d*e + (B*a^2 + 2*A*a*b)*d^2)*x^2","A",0
2322,1,184,0,0.479062," ","integrate((B*x+A)*(e*x+d)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{2} e x^{7} + \frac{1}{6} \, {\left(B c^{2} d + {\left(2 \, B b c + A c^{2}\right)} e\right)} x^{6} + \frac{1}{5} \, {\left({\left(2 \, B b c + A c^{2}\right)} d + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e\right)} x^{5} + A a^{2} d x + \frac{1}{4} \, {\left({\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e\right)} x^{4} + \frac{1}{3} \, {\left({\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d + {\left(B a^{2} + 2 \, A a b\right)} e\right)} x^{3} + \frac{1}{2} \, {\left(A a^{2} e + {\left(B a^{2} + 2 \, A a b\right)} d\right)} x^{2}"," ",0,"1/7*B*c^2*e*x^7 + 1/6*(B*c^2*d + (2*B*b*c + A*c^2)*e)*x^6 + 1/5*((2*B*b*c + A*c^2)*d + (B*b^2 + 2*(B*a + A*b)*c)*e)*x^5 + A*a^2*d*x + 1/4*((B*b^2 + 2*(B*a + A*b)*c)*d + (2*B*a*b + A*b^2 + 2*A*a*c)*e)*x^4 + 1/3*((2*B*a*b + A*b^2 + 2*A*a*c)*d + (B*a^2 + 2*A*a*b)*e)*x^3 + 1/2*(A*a^2*e + (B*a^2 + 2*A*a*b)*d)*x^2","A",0
2323,1,90,0,0.620915," ","integrate((B*x+A)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{2} x^{6} + \frac{1}{5} \, {\left(2 \, B b c + A c^{2}\right)} x^{5} + \frac{1}{4} \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} x^{4} + A a^{2} x + \frac{1}{3} \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} x^{3} + \frac{1}{2} \, {\left(B a^{2} + 2 \, A a b\right)} x^{2}"," ",0,"1/6*B*c^2*x^6 + 1/5*(2*B*b*c + A*c^2)*x^5 + 1/4*(B*b^2 + 2*(B*a + A*b)*c)*x^4 + A*a^2*x + 1/3*(2*B*a*b + A*b^2 + 2*A*a*c)*x^3 + 1/2*(B*a^2 + 2*A*a*b)*x^2","A",0
2324,1,378,0,0.665548," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d),x, algorithm=""maxima"")","\frac{12 \, B c^{2} e^{4} x^{5} - 15 \, {\left(B c^{2} d e^{3} - {\left(2 \, B b c + A c^{2}\right)} e^{4}\right)} x^{4} + 20 \, {\left(B c^{2} d^{2} e^{2} - {\left(2 \, B b c + A c^{2}\right)} d e^{3} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{4}\right)} x^{3} - 30 \, {\left(B c^{2} d^{3} e - {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{2} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{3} - {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{4}\right)} x^{2} + 60 \, {\left(B c^{2} d^{4} - {\left(2 \, B b c + A c^{2}\right)} d^{3} e + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{2} - {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{3} + {\left(B a^{2} + 2 \, A a b\right)} e^{4}\right)} x}{60 \, e^{5}} - \frac{{\left(B c^{2} d^{5} - A a^{2} e^{5} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} - {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} + {\left(B a^{2} + 2 \, A a b\right)} d e^{4}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/60*(12*B*c^2*e^4*x^5 - 15*(B*c^2*d*e^3 - (2*B*b*c + A*c^2)*e^4)*x^4 + 20*(B*c^2*d^2*e^2 - (2*B*b*c + A*c^2)*d*e^3 + (B*b^2 + 2*(B*a + A*b)*c)*e^4)*x^3 - 30*(B*c^2*d^3*e - (2*B*b*c + A*c^2)*d^2*e^2 + (B*b^2 + 2*(B*a + A*b)*c)*d*e^3 - (2*B*a*b + A*b^2 + 2*A*a*c)*e^4)*x^2 + 60*(B*c^2*d^4 - (2*B*b*c + A*c^2)*d^3*e + (B*b^2 + 2*(B*a + A*b)*c)*d^2*e^2 - (2*B*a*b + A*b^2 + 2*A*a*c)*d*e^3 + (B*a^2 + 2*A*a*b)*e^4)*x)/e^5 - (B*c^2*d^5 - A*a^2*e^5 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 - (2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 + (B*a^2 + 2*A*a*b)*d*e^4)*log(e*x + d)/e^6","A",0
2325,1,387,0,0.609982," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B c^{2} d^{5} - A a^{2} e^{5} - {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} - {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} + {\left(B a^{2} + 2 \, A a b\right)} d e^{4}}{e^{7} x + d e^{6}} + \frac{3 \, B c^{2} e^{3} x^{4} - 4 \, {\left(2 \, B c^{2} d e^{2} - {\left(2 \, B b c + A c^{2}\right)} e^{3}\right)} x^{3} + 6 \, {\left(3 \, B c^{2} d^{2} e - 2 \, {\left(2 \, B b c + A c^{2}\right)} d e^{2} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{3}\right)} x^{2} - 12 \, {\left(4 \, B c^{2} d^{3} - 3 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 2 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{2} - {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{3}\right)} x}{12 \, e^{5}} + \frac{{\left(5 \, B c^{2} d^{4} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{2} - 2 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{3} + {\left(B a^{2} + 2 \, A a b\right)} e^{4}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"(B*c^2*d^5 - A*a^2*e^5 - (2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 - (2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 + (B*a^2 + 2*A*a*b)*d*e^4)/(e^7*x + d*e^6) + 1/12*(3*B*c^2*e^3*x^4 - 4*(2*B*c^2*d*e^2 - (2*B*b*c + A*c^2)*e^3)*x^3 + 6*(3*B*c^2*d^2*e - 2*(2*B*b*c + A*c^2)*d*e^2 + (B*b^2 + 2*(B*a + A*b)*c)*e^3)*x^2 - 12*(4*B*c^2*d^3 - 3*(2*B*b*c + A*c^2)*d^2*e + 2*(B*b^2 + 2*(B*a + A*b)*c)*d*e^2 - (2*B*a*b + A*b^2 + 2*A*a*c)*e^3)*x)/e^5 + (5*B*c^2*d^4 - 4*(2*B*b*c + A*c^2)*d^3*e + 3*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e^2 - 2*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e^3 + (B*a^2 + 2*A*a*b)*e^4)*log(e*x + d)/e^6","A",0
2326,1,397,0,0.627559," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{9 \, B c^{2} d^{5} + A a^{2} e^{5} - 7 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 5 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} - 3 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} + {\left(B a^{2} + 2 \, A a b\right)} d e^{4} + 2 \, {\left(5 \, B c^{2} d^{4} e - 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{3} - 2 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{4} + {\left(B a^{2} + 2 \, A a b\right)} e^{5}\right)} x}{2 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)}} + \frac{2 \, B c^{2} e^{2} x^{3} - 3 \, {\left(3 \, B c^{2} d e - {\left(2 \, B b c + A c^{2}\right)} e^{2}\right)} x^{2} + 6 \, {\left(6 \, B c^{2} d^{2} - 3 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{2}\right)} x}{6 \, e^{5}} - \frac{{\left(10 \, B c^{2} d^{3} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{2} - {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{3}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"-1/2*(9*B*c^2*d^5 + A*a^2*e^5 - 7*(2*B*b*c + A*c^2)*d^4*e + 5*(B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 - 3*(2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 + (B*a^2 + 2*A*a*b)*d*e^4 + 2*(5*B*c^2*d^4*e - 4*(2*B*b*c + A*c^2)*d^3*e^2 + 3*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e^3 - 2*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e^4 + (B*a^2 + 2*A*a*b)*e^5)*x)/(e^8*x^2 + 2*d*e^7*x + d^2*e^6) + 1/6*(2*B*c^2*e^2*x^3 - 3*(3*B*c^2*d*e - (2*B*b*c + A*c^2)*e^2)*x^2 + 6*(6*B*c^2*d^2 - 3*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*(B*a + A*b)*c)*e^2)*x)/e^5 - (10*B*c^2*d^3 - 6*(2*B*b*c + A*c^2)*d^2*e + 3*(B*b^2 + 2*(B*a + A*b)*c)*d*e^2 - (2*B*a*b + A*b^2 + 2*A*a*c)*e^3)*log(e*x + d)/e^6","A",0
2327,1,409,0,0.657482," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{47 \, B c^{2} d^{5} - 2 \, A a^{2} e^{5} - 26 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 11 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} - {\left(B a^{2} + 2 \, A a b\right)} d e^{4} + 6 \, {\left(10 \, B c^{2} d^{3} e^{2} - 6 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{4} - {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{5}\right)} x^{2} + 3 \, {\left(35 \, B c^{2} d^{4} e - 20 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 9 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{3} - 2 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{4} - {\left(B a^{2} + 2 \, A a b\right)} e^{5}\right)} x}{6 \, {\left(e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}\right)}} + \frac{B c^{2} e x^{2} - 2 \, {\left(4 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} x}{2 \, e^{5}} + \frac{{\left(10 \, B c^{2} d^{2} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{2}\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/6*(47*B*c^2*d^5 - 2*A*a^2*e^5 - 26*(2*B*b*c + A*c^2)*d^4*e + 11*(B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 - 2*(2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 - (B*a^2 + 2*A*a*b)*d*e^4 + 6*(10*B*c^2*d^3*e^2 - 6*(2*B*b*c + A*c^2)*d^2*e^3 + 3*(B*b^2 + 2*(B*a + A*b)*c)*d*e^4 - (2*B*a*b + A*b^2 + 2*A*a*c)*e^5)*x^2 + 3*(35*B*c^2*d^4*e - 20*(2*B*b*c + A*c^2)*d^3*e^2 + 9*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e^3 - 2*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e^4 - (B*a^2 + 2*A*a*b)*e^5)*x)/(e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6) + 1/2*(B*c^2*e*x^2 - 2*(4*B*c^2*d - (2*B*b*c + A*c^2)*e)*x)/e^5 + (10*B*c^2*d^2 - 4*(2*B*b*c + A*c^2)*d*e + (B*b^2 + 2*(B*a + A*b)*c)*e^2)*log(e*x + d)/e^6","A",0
2328,1,417,0,0.778787," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{77 \, B c^{2} d^{5} + 3 \, A a^{2} e^{5} - 25 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} + {\left(B a^{2} + 2 \, A a b\right)} d e^{4} + 12 \, {\left(10 \, B c^{2} d^{2} e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{5}\right)} x^{3} + 6 \, {\left(50 \, B c^{2} d^{3} e^{2} - 18 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{4} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{5}\right)} x^{2} + 4 \, {\left(65 \, B c^{2} d^{4} e - 22 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{3} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{4} + {\left(B a^{2} + 2 \, A a b\right)} e^{5}\right)} x}{12 \, {\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)}} + \frac{B c^{2} x}{e^{5}} - \frac{{\left(5 \, B c^{2} d - {\left(2 \, B b c + A c^{2}\right)} e\right)} \log\left(e x + d\right)}{e^{6}}"," ",0,"-1/12*(77*B*c^2*d^5 + 3*A*a^2*e^5 - 25*(2*B*b*c + A*c^2)*d^4*e + 3*(B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 + (2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 + (B*a^2 + 2*A*a*b)*d*e^4 + 12*(10*B*c^2*d^2*e^3 - 4*(2*B*b*c + A*c^2)*d*e^4 + (B*b^2 + 2*(B*a + A*b)*c)*e^5)*x^3 + 6*(50*B*c^2*d^3*e^2 - 18*(2*B*b*c + A*c^2)*d^2*e^3 + 3*(B*b^2 + 2*(B*a + A*b)*c)*d*e^4 + (2*B*a*b + A*b^2 + 2*A*a*c)*e^5)*x^2 + 4*(65*B*c^2*d^4*e - 22*(2*B*b*c + A*c^2)*d^3*e^2 + 3*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e^3 + (2*B*a*b + A*b^2 + 2*A*a*c)*d*e^4 + (B*a^2 + 2*A*a*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) + B*c^2*x/e^5 - (5*B*c^2*d - (2*B*b*c + A*c^2)*e)*log(e*x + d)/e^6","A",0
2329,1,438,0,0.685505," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^6,x, algorithm=""maxima"")","\frac{137 \, B c^{2} d^{5} - 12 \, A a^{2} e^{5} - 12 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e - 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} - 2 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} - 3 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{4} + 60 \, {\left(5 \, B c^{2} d e^{4} - {\left(2 \, B b c + A c^{2}\right)} e^{5}\right)} x^{4} + 30 \, {\left(30 \, B c^{2} d^{2} e^{3} - 4 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} - {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{5}\right)} x^{3} + 10 \, {\left(110 \, B c^{2} d^{3} e^{2} - 12 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} - 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{4} - 2 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{5}\right)} x^{2} + 5 \, {\left(125 \, B c^{2} d^{4} e - 12 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} - 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{3} - 2 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{4} - 3 \, {\left(B a^{2} + 2 \, A a b\right)} e^{5}\right)} x}{60 \, {\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)}} + \frac{B c^{2} \log\left(e x + d\right)}{e^{6}}"," ",0,"1/60*(137*B*c^2*d^5 - 12*A*a^2*e^5 - 12*(2*B*b*c + A*c^2)*d^4*e - 3*(B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 - 2*(2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 - 3*(B*a^2 + 2*A*a*b)*d*e^4 + 60*(5*B*c^2*d*e^4 - (2*B*b*c + A*c^2)*e^5)*x^4 + 30*(30*B*c^2*d^2*e^3 - 4*(2*B*b*c + A*c^2)*d*e^4 - (B*b^2 + 2*(B*a + A*b)*c)*e^5)*x^3 + 10*(110*B*c^2*d^3*e^2 - 12*(2*B*b*c + A*c^2)*d^2*e^3 - 3*(B*b^2 + 2*(B*a + A*b)*c)*d*e^4 - 2*(2*B*a*b + A*b^2 + 2*A*a*c)*e^5)*x^2 + 5*(125*B*c^2*d^4*e - 12*(2*B*b*c + A*c^2)*d^3*e^2 - 3*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e^3 - 2*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e^4 - 3*(B*a^2 + 2*A*a*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) + B*c^2*log(e*x + d)/e^6","A",0
2330,1,438,0,0.633240," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{60 \, B c^{2} e^{5} x^{5} + 10 \, B c^{2} d^{5} + 10 \, A a^{2} e^{5} + 2 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{4} + 30 \, {\left(5 \, B c^{2} d e^{4} + {\left(2 \, B b c + A c^{2}\right)} e^{5}\right)} x^{4} + 20 \, {\left(10 \, B c^{2} d^{2} e^{3} + 2 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{5}\right)} x^{3} + 15 \, {\left(10 \, B c^{2} d^{3} e^{2} + 2 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{4} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{5}\right)} x^{2} + 6 \, {\left(10 \, B c^{2} d^{4} e + 2 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{3} + {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{4} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} e^{5}\right)} x}{60 \, {\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)}}"," ",0,"-1/60*(60*B*c^2*e^5*x^5 + 10*B*c^2*d^5 + 10*A*a^2*e^5 + 2*(2*B*b*c + A*c^2)*d^4*e + (B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 + (2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 + 2*(B*a^2 + 2*A*a*b)*d*e^4 + 30*(5*B*c^2*d*e^4 + (2*B*b*c + A*c^2)*e^5)*x^4 + 20*(10*B*c^2*d^2*e^3 + 2*(2*B*b*c + A*c^2)*d*e^4 + (B*b^2 + 2*(B*a + A*b)*c)*e^5)*x^3 + 15*(10*B*c^2*d^3*e^2 + 2*(2*B*b*c + A*c^2)*d^2*e^3 + (B*b^2 + 2*(B*a + A*b)*c)*d*e^4 + (2*B*a*b + A*b^2 + 2*A*a*c)*e^5)*x^2 + 6*(10*B*c^2*d^4*e + 2*(2*B*b*c + A*c^2)*d^3*e^2 + (B*b^2 + 2*(B*a + A*b)*c)*d^2*e^3 + (2*B*a*b + A*b^2 + 2*A*a*c)*d*e^4 + 2*(B*a^2 + 2*A*a*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)","A",0
2331,1,457,0,0.681391," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^8,x, algorithm=""maxima"")","-\frac{210 \, B c^{2} e^{5} x^{5} + 10 \, B c^{2} d^{5} + 60 \, A a^{2} e^{5} + 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} + 4 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} + 10 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{4} + 70 \, {\left(5 \, B c^{2} d e^{4} + 2 \, {\left(2 \, B b c + A c^{2}\right)} e^{5}\right)} x^{4} + 35 \, {\left(10 \, B c^{2} d^{2} e^{3} + 4 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{5}\right)} x^{3} + 21 \, {\left(10 \, B c^{2} d^{3} e^{2} + 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{4} + 4 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{5}\right)} x^{2} + 7 \, {\left(10 \, B c^{2} d^{4} e + 4 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{3} + 4 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{4} + 10 \, {\left(B a^{2} + 2 \, A a b\right)} e^{5}\right)} x}{420 \, {\left(e^{13} x^{7} + 7 \, d e^{12} x^{6} + 21 \, d^{2} e^{11} x^{5} + 35 \, d^{3} e^{10} x^{4} + 35 \, d^{4} e^{9} x^{3} + 21 \, d^{5} e^{8} x^{2} + 7 \, d^{6} e^{7} x + d^{7} e^{6}\right)}}"," ",0,"-1/420*(210*B*c^2*e^5*x^5 + 10*B*c^2*d^5 + 60*A*a^2*e^5 + 4*(2*B*b*c + A*c^2)*d^4*e + 3*(B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 + 4*(2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 + 10*(B*a^2 + 2*A*a*b)*d*e^4 + 70*(5*B*c^2*d*e^4 + 2*(2*B*b*c + A*c^2)*e^5)*x^4 + 35*(10*B*c^2*d^2*e^3 + 4*(2*B*b*c + A*c^2)*d*e^4 + 3*(B*b^2 + 2*(B*a + A*b)*c)*e^5)*x^3 + 21*(10*B*c^2*d^3*e^2 + 4*(2*B*b*c + A*c^2)*d^2*e^3 + 3*(B*b^2 + 2*(B*a + A*b)*c)*d*e^4 + 4*(2*B*a*b + A*b^2 + 2*A*a*c)*e^5)*x^2 + 7*(10*B*c^2*d^4*e + 4*(2*B*b*c + A*c^2)*d^3*e^2 + 3*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e^3 + 4*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e^4 + 10*(B*a^2 + 2*A*a*b)*e^5)*x)/(e^13*x^7 + 7*d*e^12*x^6 + 21*d^2*e^11*x^5 + 35*d^3*e^10*x^4 + 35*d^4*e^9*x^3 + 21*d^5*e^8*x^2 + 7*d^6*e^7*x + d^7*e^6)","A",0
2332,1,468,0,0.948273," ","integrate((B*x+A)*(c*x^2+b*x+a)^2/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{280 \, B c^{2} e^{5} x^{5} + 5 \, B c^{2} d^{5} + 105 \, A a^{2} e^{5} + 3 \, {\left(2 \, B b c + A c^{2}\right)} d^{4} e + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{3} e^{2} + 5 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d^{2} e^{3} + 15 \, {\left(B a^{2} + 2 \, A a b\right)} d e^{4} + 70 \, {\left(5 \, B c^{2} d e^{4} + 3 \, {\left(2 \, B b c + A c^{2}\right)} e^{5}\right)} x^{4} + 56 \, {\left(5 \, B c^{2} d^{2} e^{3} + 3 \, {\left(2 \, B b c + A c^{2}\right)} d e^{4} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} e^{5}\right)} x^{3} + 28 \, {\left(5 \, B c^{2} d^{3} e^{2} + 3 \, {\left(2 \, B b c + A c^{2}\right)} d^{2} e^{3} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d e^{4} + 5 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} e^{5}\right)} x^{2} + 8 \, {\left(5 \, B c^{2} d^{4} e + 3 \, {\left(2 \, B b c + A c^{2}\right)} d^{3} e^{2} + 3 \, {\left(B b^{2} + 2 \, {\left(B a + A b\right)} c\right)} d^{2} e^{3} + 5 \, {\left(2 \, B a b + A b^{2} + 2 \, A a c\right)} d e^{4} + 15 \, {\left(B a^{2} + 2 \, A a b\right)} e^{5}\right)} x}{840 \, {\left(e^{14} x^{8} + 8 \, d e^{13} x^{7} + 28 \, d^{2} e^{12} x^{6} + 56 \, d^{3} e^{11} x^{5} + 70 \, d^{4} e^{10} x^{4} + 56 \, d^{5} e^{9} x^{3} + 28 \, d^{6} e^{8} x^{2} + 8 \, d^{7} e^{7} x + d^{8} e^{6}\right)}}"," ",0,"-1/840*(280*B*c^2*e^5*x^5 + 5*B*c^2*d^5 + 105*A*a^2*e^5 + 3*(2*B*b*c + A*c^2)*d^4*e + 3*(B*b^2 + 2*(B*a + A*b)*c)*d^3*e^2 + 5*(2*B*a*b + A*b^2 + 2*A*a*c)*d^2*e^3 + 15*(B*a^2 + 2*A*a*b)*d*e^4 + 70*(5*B*c^2*d*e^4 + 3*(2*B*b*c + A*c^2)*e^5)*x^4 + 56*(5*B*c^2*d^2*e^3 + 3*(2*B*b*c + A*c^2)*d*e^4 + 3*(B*b^2 + 2*(B*a + A*b)*c)*e^5)*x^3 + 28*(5*B*c^2*d^3*e^2 + 3*(2*B*b*c + A*c^2)*d^2*e^3 + 3*(B*b^2 + 2*(B*a + A*b)*c)*d*e^4 + 5*(2*B*a*b + A*b^2 + 2*A*a*c)*e^5)*x^2 + 8*(5*B*c^2*d^4*e + 3*(2*B*b*c + A*c^2)*d^3*e^2 + 3*(B*b^2 + 2*(B*a + A*b)*c)*d^2*e^3 + 5*(2*B*a*b + A*b^2 + 2*A*a*c)*d*e^4 + 15*(B*a^2 + 2*A*a*b)*e^5)*x)/(e^14*x^8 + 8*d*e^13*x^7 + 28*d^2*e^12*x^6 + 56*d^3*e^11*x^5 + 70*d^4*e^10*x^4 + 56*d^5*e^9*x^3 + 28*d^6*e^8*x^2 + 8*d^7*e^7*x + d^8*e^6)","A",0
2333,1,1114,0,0.744342," ","integrate((B*x+A)*(e*x+d)^5*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{13} \, B c^{3} e^{5} x^{13} + \frac{1}{12} \, {\left(5 \, B c^{3} d e^{4} + {\left(3 \, B b c^{2} + A c^{3}\right)} e^{5}\right)} x^{12} + \frac{1}{11} \, {\left(10 \, B c^{3} d^{2} e^{3} + 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{4} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{5}\right)} x^{11} + \frac{1}{10} \, {\left(10 \, B c^{3} d^{3} e^{2} + 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{3} + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{4} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{5}\right)} x^{10} + A a^{3} d^{5} x + \frac{1}{9} \, {\left(5 \, B c^{3} d^{4} e + 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{2} + 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{3} + 5 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{4} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{5}\right)} x^{9} + \frac{1}{8} \, {\left(B c^{3} d^{5} + 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e + 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{2} + 10 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{3} + 5 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{4} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{5}\right)} x^{8} + \frac{1}{7} \, {\left({\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e + 10 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{2} + 10 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{3} + 15 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{4} + {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{5}\right)} x^{7} + \frac{1}{6} \, {\left(A a^{3} e^{5} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} + 5 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e + 10 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{2} + 30 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{3} + 5 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(5 \, A a^{3} d e^{4} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{5} + 5 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{4} e + 30 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{3} e^{2} + 10 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(10 \, A a^{3} d^{2} e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{5} + 15 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{4} e + 10 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, A a^{3} d^{3} e^{2} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{5} + 5 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{4} e\right)} x^{3} + \frac{1}{2} \, {\left(5 \, A a^{3} d^{4} e + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{5}\right)} x^{2}"," ",0,"1/13*B*c^3*e^5*x^13 + 1/12*(5*B*c^3*d*e^4 + (3*B*b*c^2 + A*c^3)*e^5)*x^12 + 1/11*(10*B*c^3*d^2*e^3 + 5*(3*B*b*c^2 + A*c^3)*d*e^4 + 3*(B*b^2*c + (B*a + A*b)*c^2)*e^5)*x^11 + 1/10*(10*B*c^3*d^3*e^2 + 10*(3*B*b*c^2 + A*c^3)*d^2*e^3 + 15*(B*b^2*c + (B*a + A*b)*c^2)*d*e^4 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^5)*x^10 + A*a^3*d^5*x + 1/9*(5*B*c^3*d^4*e + 10*(3*B*b*c^2 + A*c^3)*d^3*e^2 + 30*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^3 + 5*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^4 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^5)*x^9 + 1/8*(B*c^3*d^5 + 5*(3*B*b*c^2 + A*c^3)*d^4*e + 30*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^2 + 10*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^3 + 5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^4 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^5)*x^8 + 1/7*((3*B*b*c^2 + A*c^3)*d^5 + 15*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e + 10*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^2 + 10*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^3 + 15*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^4 + (B*a^3 + 3*A*a^2*b)*e^5)*x^7 + 1/6*(A*a^3*e^5 + 3*(B*b^2*c + (B*a + A*b)*c^2)*d^5 + 5*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e + 10*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^2 + 30*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^3 + 5*(B*a^3 + 3*A*a^2*b)*d*e^4)*x^6 + 1/5*(5*A*a^3*d*e^4 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^5 + 5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^4*e + 30*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^3*e^2 + 10*(B*a^3 + 3*A*a^2*b)*d^2*e^3)*x^5 + 1/4*(10*A*a^3*d^2*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^5 + 15*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^4*e + 10*(B*a^3 + 3*A*a^2*b)*d^3*e^2)*x^4 + 1/3*(10*A*a^3*d^3*e^2 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^5 + 5*(B*a^3 + 3*A*a^2*b)*d^4*e)*x^3 + 1/2*(5*A*a^3*d^4*e + (B*a^3 + 3*A*a^2*b)*d^5)*x^2","B",0
2334,1,919,0,0.567547," ","integrate((B*x+A)*(e*x+d)^4*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{12} \, B c^{3} e^{4} x^{12} + \frac{1}{11} \, {\left(4 \, B c^{3} d e^{3} + {\left(3 \, B b c^{2} + A c^{3}\right)} e^{4}\right)} x^{11} + \frac{1}{10} \, {\left(6 \, B c^{3} d^{2} e^{2} + 4 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{3} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{4}\right)} x^{10} + \frac{1}{9} \, {\left(4 \, B c^{3} d^{3} e + 6 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{2} + 12 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{3} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{4}\right)} x^{9} + A a^{3} d^{4} x + \frac{1}{8} \, {\left(B c^{3} d^{4} + 4 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e + 18 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{2} + 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{4}\right)} x^{8} + \frac{1}{7} \, {\left({\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} + 12 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e + 6 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{2} + 4 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{3} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{4}\right)} x^{7} + \frac{1}{6} \, {\left(3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} + 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e + 6 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{2} + 12 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{4}\right)} x^{6} + \frac{1}{5} \, {\left(A a^{3} e^{4} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} + 4 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e + 18 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{2} + 4 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(4 \, A a^{3} d e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{4} + 12 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{3} e + 6 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, A a^{3} d^{2} e^{2} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{4} + 4 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3} e\right)} x^{3} + \frac{1}{2} \, {\left(4 \, A a^{3} d^{3} e + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{4}\right)} x^{2}"," ",0,"1/12*B*c^3*e^4*x^12 + 1/11*(4*B*c^3*d*e^3 + (3*B*b*c^2 + A*c^3)*e^4)*x^11 + 1/10*(6*B*c^3*d^2*e^2 + 4*(3*B*b*c^2 + A*c^3)*d*e^3 + 3*(B*b^2*c + (B*a + A*b)*c^2)*e^4)*x^10 + 1/9*(4*B*c^3*d^3*e + 6*(3*B*b*c^2 + A*c^3)*d^2*e^2 + 12*(B*b^2*c + (B*a + A*b)*c^2)*d*e^3 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^4)*x^9 + A*a^3*d^4*x + 1/8*(B*c^3*d^4 + 4*(3*B*b*c^2 + A*c^3)*d^3*e + 18*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^2 + 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^4)*x^8 + 1/7*((3*B*b*c^2 + A*c^3)*d^4 + 12*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e + 6*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^2 + 4*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^3 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^4)*x^7 + 1/6*(3*(B*b^2*c + (B*a + A*b)*c^2)*d^4 + 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e + 6*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^2 + 12*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^3 + (B*a^3 + 3*A*a^2*b)*e^4)*x^6 + 1/5*(A*a^3*e^4 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4 + 4*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e + 18*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^2 + 4*(B*a^3 + 3*A*a^2*b)*d*e^3)*x^5 + 1/4*(4*A*a^3*d*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^4 + 12*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^3*e + 6*(B*a^3 + 3*A*a^2*b)*d^2*e^2)*x^4 + 1/3*(6*A*a^3*d^2*e^2 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^4 + 4*(B*a^3 + 3*A*a^2*b)*d^3*e)*x^3 + 1/2*(4*A*a^3*d^3*e + (B*a^3 + 3*A*a^2*b)*d^4)*x^2","A",0
2335,1,713,0,0.734255," ","integrate((B*x+A)*(e*x+d)^3*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{3} e^{3} x^{11} + \frac{1}{10} \, {\left(3 \, B c^{3} d e^{2} + {\left(3 \, B b c^{2} + A c^{3}\right)} e^{3}\right)} x^{10} + \frac{1}{3} \, {\left(B c^{3} d^{2} e + {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{2} + {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{3}\right)} x^{9} + \frac{1}{8} \, {\left(B c^{3} d^{3} + 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e + 9 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{2} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{3}\right)} x^{8} + A a^{3} d^{3} x + \frac{1}{7} \, {\left({\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} + 9 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e + 3 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{2} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{3}\right)} x^{7} + \frac{1}{2} \, {\left({\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{2} + {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{3}\right)} x^{6} + \frac{1}{5} \, {\left({\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e + 9 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(A a^{3} e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} + 9 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{2}\right)} x^{4} + {\left(A a^{3} d e^{2} + {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2} e\right)} x^{3} + \frac{1}{2} \, {\left(3 \, A a^{3} d^{2} e + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} x^{2}"," ",0,"1/11*B*c^3*e^3*x^11 + 1/10*(3*B*c^3*d*e^2 + (3*B*b*c^2 + A*c^3)*e^3)*x^10 + 1/3*(B*c^3*d^2*e + (3*B*b*c^2 + A*c^3)*d*e^2 + (B*b^2*c + (B*a + A*b)*c^2)*e^3)*x^9 + 1/8*(B*c^3*d^3 + 3*(3*B*b*c^2 + A*c^3)*d^2*e + 9*(B*b^2*c + (B*a + A*b)*c^2)*d*e^2 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^3)*x^8 + A*a^3*d^3*x + 1/7*((3*B*b*c^2 + A*c^3)*d^3 + 9*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e + 3*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^2 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^3)*x^7 + 1/2*((B*b^2*c + (B*a + A*b)*c^2)*d^3 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^2 + (B*a^2*b + A*a*b^2 + A*a^2*c)*e^3)*x^6 + 1/5*((B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3 + 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e + 9*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^2 + (B*a^3 + 3*A*a^2*b)*e^3)*x^5 + 1/4*(A*a^3*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3 + 9*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e + 3*(B*a^3 + 3*A*a^2*b)*d*e^2)*x^4 + (A*a^3*d*e^2 + (B*a^2*b + A*a*b^2 + A*a^2*c)*d^3 + (B*a^3 + 3*A*a^2*b)*d^2*e)*x^3 + 1/2*(3*A*a^3*d^2*e + (B*a^3 + 3*A*a^2*b)*d^3)*x^2","A",0
2336,1,529,0,0.646713," ","integrate((B*x+A)*(e*x+d)^2*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{3} e^{2} x^{10} + \frac{1}{9} \, {\left(2 \, B c^{3} d e + {\left(3 \, B b c^{2} + A c^{3}\right)} e^{2}\right)} x^{9} + \frac{1}{8} \, {\left(B c^{3} d^{2} + 2 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{2}\right)} x^{8} + \frac{1}{7} \, {\left({\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} + 6 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{2}\right)} x^{7} + A a^{3} d^{2} x + \frac{1}{6} \, {\left(3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{2}\right)} x^{6} + \frac{1}{5} \, {\left({\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{2}\right)} x^{5} + \frac{1}{4} \, {\left({\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} + 6 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e + {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(A a^{3} e^{2} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d e\right)} x^{3} + \frac{1}{2} \, {\left(2 \, A a^{3} d e + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} x^{2}"," ",0,"1/10*B*c^3*e^2*x^10 + 1/9*(2*B*c^3*d*e + (3*B*b*c^2 + A*c^3)*e^2)*x^9 + 1/8*(B*c^3*d^2 + 2*(3*B*b*c^2 + A*c^3)*d*e + 3*(B*b^2*c + (B*a + A*b)*c^2)*e^2)*x^8 + 1/7*((3*B*b*c^2 + A*c^3)*d^2 + 6*(B*b^2*c + (B*a + A*b)*c^2)*d*e + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^2)*x^7 + A*a^3*d^2*x + 1/6*(3*(B*b^2*c + (B*a + A*b)*c^2)*d^2 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^2)*x^6 + 1/5*((B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2 + 2*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^2)*x^5 + 1/4*((3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2 + 6*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e + (B*a^3 + 3*A*a^2*b)*e^2)*x^4 + 1/3*(A*a^3*e^2 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2 + 2*(B*a^3 + 3*A*a^2*b)*d*e)*x^3 + 1/2*(2*A*a^3*d*e + (B*a^3 + 3*A*a^2*b)*d^2)*x^2","A",0
2337,1,334,0,0.595193," ","integrate((B*x+A)*(e*x+d)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{3} e x^{9} + \frac{1}{8} \, {\left(B c^{3} d + {\left(3 \, B b c^{2} + A c^{3}\right)} e\right)} x^{8} + \frac{1}{7} \, {\left({\left(3 \, B b c^{2} + A c^{3}\right)} d + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e\right)} x^{7} + \frac{1}{6} \, {\left(3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e\right)} x^{6} + A a^{3} d x + \frac{1}{5} \, {\left({\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e\right)} x^{5} + \frac{1}{4} \, {\left({\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e\right)} x^{4} + \frac{1}{3} \, {\left(3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} e\right)} x^{3} + \frac{1}{2} \, {\left(A a^{3} e + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} x^{2}"," ",0,"1/9*B*c^3*e*x^9 + 1/8*(B*c^3*d + (3*B*b*c^2 + A*c^3)*e)*x^8 + 1/7*((3*B*b*c^2 + A*c^3)*d + 3*(B*b^2*c + (B*a + A*b)*c^2)*e)*x^7 + 1/6*(3*(B*b^2*c + (B*a + A*b)*c^2)*d + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e)*x^6 + A*a^3*d*x + 1/5*((B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e)*x^5 + 1/4*((3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*e)*x^4 + 1/3*(3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d + (B*a^3 + 3*A*a^2*b)*e)*x^3 + 1/2*(A*a^3*e + (B*a^3 + 3*A*a^2*b)*d)*x^2","A",0
2338,1,162,0,0.531899," ","integrate((B*x+A)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{3} x^{8} + \frac{1}{7} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{7} + \frac{1}{2} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{6} + \frac{1}{5} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{5} + A a^{3} x + \frac{1}{4} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{4} + {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{3} + \frac{1}{2} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{2}"," ",0,"1/8*B*c^3*x^8 + 1/7*(3*B*b*c^2 + A*c^3)*x^7 + 1/2*(B*b^2*c + (B*a + A*b)*c^2)*x^6 + 1/5*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^5 + A*a^3*x + 1/4*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^4 + (B*a^2*b + A*a*b^2 + A*a^2*c)*x^3 + 1/2*(B*a^3 + 3*A*a^2*b)*x^2","A",0
2339,1,842,0,0.547347," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d),x, algorithm=""maxima"")","\frac{60 \, B c^{3} e^{6} x^{7} - 70 \, {\left(B c^{3} d e^{5} - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{6}\right)} x^{6} + 84 \, {\left(B c^{3} d^{2} e^{4} - {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{5} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{6}\right)} x^{5} - 105 \, {\left(B c^{3} d^{3} e^{3} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{4} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{5} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{6}\right)} x^{4} + 140 \, {\left(B c^{3} d^{4} e^{2} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{3} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{4} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{5} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{6}\right)} x^{3} - 210 \, {\left(B c^{3} d^{5} e - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{2} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{3} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{4} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{5} - 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{6}\right)} x^{2} + 420 \, {\left(B c^{3} d^{6} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{2} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{4} - 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{5} + {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{6}\right)} x}{420 \, e^{7}} - \frac{{\left(B c^{3} d^{7} - A a^{3} e^{7} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} - 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/420*(60*B*c^3*e^6*x^7 - 70*(B*c^3*d*e^5 - (3*B*b*c^2 + A*c^3)*e^6)*x^6 + 84*(B*c^3*d^2*e^4 - (3*B*b*c^2 + A*c^3)*d*e^5 + 3*(B*b^2*c + (B*a + A*b)*c^2)*e^6)*x^5 - 105*(B*c^3*d^3*e^3 - (3*B*b*c^2 + A*c^3)*d^2*e^4 + 3*(B*b^2*c + (B*a + A*b)*c^2)*d*e^5 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^6)*x^4 + 140*(B*c^3*d^4*e^2 - (3*B*b*c^2 + A*c^3)*d^3*e^3 + 3*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^4 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^5 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^6)*x^3 - 210*(B*c^3*d^5*e - (3*B*b*c^2 + A*c^3)*d^4*e^2 + 3*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^3 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^4 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^5 - 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^6)*x^2 + 420*(B*c^3*d^6 - (3*B*b*c^2 + A*c^3)*d^5*e + 3*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^2 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^4 - 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^5 + (B*a^3 + 3*A*a^2*b)*e^6)*x)/e^7 - (B*c^3*d^7 - A*a^3*e^7 - (3*B*b*c^2 + A*c^3)*d^6*e + 3*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 - 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 + (B*a^3 + 3*A*a^2*b)*d*e^6)*log(e*x + d)/e^8","A",0
2340,1,853,0,0.579203," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^2,x, algorithm=""maxima"")","\frac{B c^{3} d^{7} - A a^{3} e^{7} - {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} - 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6}}{e^{9} x + d e^{8}} + \frac{10 \, B c^{3} e^{5} x^{6} - 12 \, {\left(2 \, B c^{3} d e^{4} - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{5}\right)} x^{5} + 15 \, {\left(3 \, B c^{3} d^{2} e^{3} - 2 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{4} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{5}\right)} x^{4} - 20 \, {\left(4 \, B c^{3} d^{3} e^{2} - 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{3} + 6 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{4} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{5}\right)} x^{3} + 30 \, {\left(5 \, B c^{3} d^{4} e - 4 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{2} + 9 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{3} - 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{4} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{5}\right)} x^{2} - 60 \, {\left(6 \, B c^{3} d^{5} - 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e + 12 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{2} - 3 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{3} + 2 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{4} - 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{5}\right)} x}{60 \, e^{7}} + \frac{{\left(7 \, B c^{3} d^{6} - 6 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{2} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{4} - 6 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{5} + {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{6}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"(B*c^3*d^7 - A*a^3*e^7 - (3*B*b*c^2 + A*c^3)*d^6*e + 3*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 - 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 + (B*a^3 + 3*A*a^2*b)*d*e^6)/(e^9*x + d*e^8) + 1/60*(10*B*c^3*e^5*x^6 - 12*(2*B*c^3*d*e^4 - (3*B*b*c^2 + A*c^3)*e^5)*x^5 + 15*(3*B*c^3*d^2*e^3 - 2*(3*B*b*c^2 + A*c^3)*d*e^4 + 3*(B*b^2*c + (B*a + A*b)*c^2)*e^5)*x^4 - 20*(4*B*c^3*d^3*e^2 - 3*(3*B*b*c^2 + A*c^3)*d^2*e^3 + 6*(B*b^2*c + (B*a + A*b)*c^2)*d*e^4 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^5)*x^3 + 30*(5*B*c^3*d^4*e - 4*(3*B*b*c^2 + A*c^3)*d^3*e^2 + 9*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^3 - 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^4 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^5)*x^2 - 60*(6*B*c^3*d^5 - 5*(3*B*b*c^2 + A*c^3)*d^4*e + 12*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^2 - 3*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^3 + 2*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^4 - 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^5)*x)/e^7 + (7*B*c^3*d^6 - 6*(3*B*b*c^2 + A*c^3)*d^5*e + 15*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^2 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^3 + 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^4 - 6*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^5 + (B*a^3 + 3*A*a^2*b)*e^6)*log(e*x + d)/e^8","A",0
2341,1,861,0,0.786905," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{13 \, B c^{3} d^{7} + A a^{3} e^{7} - 11 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 27 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} - 7 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} + 5 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} - 9 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6} + 2 \, {\left(7 \, B c^{3} d^{6} e - 6 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{3} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{4} + 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{5} - 6 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{6} + {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{7}\right)} x}{2 \, {\left(e^{10} x^{2} + 2 \, d e^{9} x + d^{2} e^{8}\right)}} + \frac{4 \, B c^{3} e^{4} x^{5} - 5 \, {\left(3 \, B c^{3} d e^{3} - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{4}\right)} x^{4} + 20 \, {\left(2 \, B c^{3} d^{2} e^{2} - {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{3} + {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{4}\right)} x^{3} - 10 \, {\left(10 \, B c^{3} d^{3} e - 6 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{2} + 9 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{3} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{4}\right)} x^{2} + 20 \, {\left(15 \, B c^{3} d^{4} - 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e + 18 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{2} - 3 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{4}\right)} x}{20 \, e^{7}} - \frac{3 \, {\left(7 \, B c^{3} d^{5} - 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e + 10 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{2} - 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{4} - {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{5}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"-1/2*(13*B*c^3*d^7 + A*a^3*e^7 - 11*(3*B*b*c^2 + A*c^3)*d^6*e + 27*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 - 7*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 + 5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 - 9*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 + (B*a^3 + 3*A*a^2*b)*d*e^6 + 2*(7*B*c^3*d^6*e - 6*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 15*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^3 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^4 + 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^5 - 6*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^6 + (B*a^3 + 3*A*a^2*b)*e^7)*x)/(e^10*x^2 + 2*d*e^9*x + d^2*e^8) + 1/20*(4*B*c^3*e^4*x^5 - 5*(3*B*c^3*d*e^3 - (3*B*b*c^2 + A*c^3)*e^4)*x^4 + 20*(2*B*c^3*d^2*e^2 - (3*B*b*c^2 + A*c^3)*d*e^3 + (B*b^2*c + (B*a + A*b)*c^2)*e^4)*x^3 - 10*(10*B*c^3*d^3*e - 6*(3*B*b*c^2 + A*c^3)*d^2*e^2 + 9*(B*b^2*c + (B*a + A*b)*c^2)*d*e^3 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^4)*x^2 + 20*(15*B*c^3*d^4 - 10*(3*B*b*c^2 + A*c^3)*d^3*e + 18*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^2 - 3*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^4)*x)/e^7 - 3*(7*B*c^3*d^5 - 5*(3*B*b*c^2 + A*c^3)*d^4*e + 10*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^2 - 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^4 - (B*a^2*b + A*a*b^2 + A*a^2*c)*e^5)*log(e*x + d)/e^8","A",0
2342,1,875,0,0.788646," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^4,x, algorithm=""maxima"")","\frac{107 \, B c^{3} d^{7} - 2 \, A a^{3} e^{7} - 74 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 141 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} - 26 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} + 11 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} - 6 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} - {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6} + 18 \, {\left(7 \, B c^{3} d^{5} e^{2} - 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{3} + 10 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{4} - 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{5} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{6} - {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{7}\right)} x^{2} + 3 \, {\left(77 \, B c^{3} d^{6} e - 54 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 105 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{3} - 20 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{4} + 9 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{5} - 6 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{6} - {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{7}\right)} x}{6 \, {\left(e^{11} x^{3} + 3 \, d e^{10} x^{2} + 3 \, d^{2} e^{9} x + d^{3} e^{8}\right)}} + \frac{3 \, B c^{3} e^{3} x^{4} - 4 \, {\left(4 \, B c^{3} d e^{2} - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{3}\right)} x^{3} + 6 \, {\left(10 \, B c^{3} d^{2} e - 4 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{2} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{3}\right)} x^{2} - 12 \, {\left(20 \, B c^{3} d^{3} - 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e + 12 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{2} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{3}\right)} x}{12 \, e^{7}} + \frac{{\left(35 \, B c^{3} d^{4} - 20 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e + 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{2} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{4}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/6*(107*B*c^3*d^7 - 2*A*a^3*e^7 - 74*(3*B*b*c^2 + A*c^3)*d^6*e + 141*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 - 26*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 + 11*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 - 6*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 - (B*a^3 + 3*A*a^2*b)*d*e^6 + 18*(7*B*c^3*d^5*e^2 - 5*(3*B*b*c^2 + A*c^3)*d^4*e^3 + 10*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^4 - 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^5 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^6 - (B*a^2*b + A*a*b^2 + A*a^2*c)*e^7)*x^2 + 3*(77*B*c^3*d^6*e - 54*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 105*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^3 - 20*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^4 + 9*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^5 - 6*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^6 - (B*a^3 + 3*A*a^2*b)*e^7)*x)/(e^11*x^3 + 3*d*e^10*x^2 + 3*d^2*e^9*x + d^3*e^8) + 1/12*(3*B*c^3*e^3*x^4 - 4*(4*B*c^3*d*e^2 - (3*B*b*c^2 + A*c^3)*e^3)*x^3 + 6*(10*B*c^3*d^2*e - 4*(3*B*b*c^2 + A*c^3)*d*e^2 + 3*(B*b^2*c + (B*a + A*b)*c^2)*e^3)*x^2 - 12*(20*B*c^3*d^3 - 10*(3*B*b*c^2 + A*c^3)*d^2*e + 12*(B*b^2*c + (B*a + A*b)*c^2)*d*e^2 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^3)*x)/e^7 + (35*B*c^3*d^4 - 20*(3*B*b*c^2 + A*c^3)*d^3*e + 30*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^2 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^4)*log(e*x + d)/e^8","A",0
2343,1,884,0,0.718902," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{319 \, B c^{3} d^{7} + 3 \, A a^{3} e^{7} - 171 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 231 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} - 25 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6} + 12 \, {\left(35 \, B c^{3} d^{4} e^{3} - 20 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{4} + 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{5} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{6} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{7}\right)} x^{3} + 18 \, {\left(63 \, B c^{3} d^{5} e^{2} - 35 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{3} + 50 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{4} - 6 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{5} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{6} + {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{7}\right)} x^{2} + 4 \, {\left(259 \, B c^{3} d^{6} e - 141 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 195 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{3} - 22 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{4} + 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{5} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{6} + {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{7}\right)} x}{12 \, {\left(e^{12} x^{4} + 4 \, d e^{11} x^{3} + 6 \, d^{2} e^{10} x^{2} + 4 \, d^{3} e^{9} x + d^{4} e^{8}\right)}} + \frac{2 \, B c^{3} e^{2} x^{3} - 3 \, {\left(5 \, B c^{3} d e - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{2}\right)} x^{2} + 6 \, {\left(15 \, B c^{3} d^{2} - 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{2}\right)} x}{6 \, e^{7}} - \frac{{\left(35 \, B c^{3} d^{3} - 15 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{2} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{3}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"-1/12*(319*B*c^3*d^7 + 3*A*a^3*e^7 - 171*(3*B*b*c^2 + A*c^3)*d^6*e + 231*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 - 25*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 + 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 + (B*a^3 + 3*A*a^2*b)*d*e^6 + 12*(35*B*c^3*d^4*e^3 - 20*(3*B*b*c^2 + A*c^3)*d^3*e^4 + 30*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^5 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^6 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^7)*x^3 + 18*(63*B*c^3*d^5*e^2 - 35*(3*B*b*c^2 + A*c^3)*d^4*e^3 + 50*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^4 - 6*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^5 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^6 + (B*a^2*b + A*a*b^2 + A*a^2*c)*e^7)*x^2 + 4*(259*B*c^3*d^6*e - 141*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 195*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^3 - 22*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^4 + 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^5 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^6 + (B*a^3 + 3*A*a^2*b)*e^7)*x)/(e^12*x^4 + 4*d*e^11*x^3 + 6*d^2*e^10*x^2 + 4*d^3*e^9*x + d^4*e^8) + 1/6*(2*B*c^3*e^2*x^3 - 3*(5*B*c^3*d*e - (3*B*b*c^2 + A*c^3)*e^2)*x^2 + 6*(15*B*c^3*d^2 - 5*(3*B*b*c^2 + A*c^3)*d*e + 3*(B*b^2*c + (B*a + A*b)*c^2)*e^2)*x)/e^7 - (35*B*c^3*d^3 - 15*(3*B*b*c^2 + A*c^3)*d^2*e + 15*(B*b^2*c + (B*a + A*b)*c^2)*d*e^2 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^3)*log(e*x + d)/e^8","A",0
2344,1,898,0,0.662790," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^6,x, algorithm=""maxima"")","\frac{459 \, B c^{3} d^{7} - 4 \, A a^{3} e^{7} - 174 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 137 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} - {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} - 2 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} - {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6} + 20 \, {\left(35 \, B c^{3} d^{3} e^{4} - 15 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{5} + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{6} - {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{7}\right)} x^{4} + 10 \, {\left(245 \, B c^{3} d^{4} e^{3} - 100 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{4} + 90 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{5} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{6} - {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{7}\right)} x^{3} + 10 \, {\left(329 \, B c^{3} d^{5} e^{2} - 130 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{3} + 110 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{4} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{5} - {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{6} - 2 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{7}\right)} x^{2} + 5 \, {\left(399 \, B c^{3} d^{6} e - 154 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 125 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{3} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{4} - {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{5} - 2 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{6} - {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{7}\right)} x}{20 \, {\left(e^{13} x^{5} + 5 \, d e^{12} x^{4} + 10 \, d^{2} e^{11} x^{3} + 10 \, d^{3} e^{10} x^{2} + 5 \, d^{4} e^{9} x + d^{5} e^{8}\right)}} + \frac{B c^{3} e x^{2} - 2 \, {\left(6 \, B c^{3} d - {\left(3 \, B b c^{2} + A c^{3}\right)} e\right)} x}{2 \, e^{7}} + \frac{3 \, {\left(7 \, B c^{3} d^{2} - 2 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e + {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{2}\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/20*(459*B*c^3*d^7 - 4*A*a^3*e^7 - 174*(3*B*b*c^2 + A*c^3)*d^6*e + 137*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 - (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 - 2*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 - (B*a^3 + 3*A*a^2*b)*d*e^6 + 20*(35*B*c^3*d^3*e^4 - 15*(3*B*b*c^2 + A*c^3)*d^2*e^5 + 15*(B*b^2*c + (B*a + A*b)*c^2)*d*e^6 - (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^7)*x^4 + 10*(245*B*c^3*d^4*e^3 - 100*(3*B*b*c^2 + A*c^3)*d^3*e^4 + 90*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^5 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^6 - (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^7)*x^3 + 10*(329*B*c^3*d^5*e^2 - 130*(3*B*b*c^2 + A*c^3)*d^4*e^3 + 110*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^4 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^5 - (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^6 - 2*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^7)*x^2 + 5*(399*B*c^3*d^6*e - 154*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 125*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^3 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^4 - (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^5 - 2*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^6 - (B*a^3 + 3*A*a^2*b)*e^7)*x)/(e^13*x^5 + 5*d*e^12*x^4 + 10*d^2*e^11*x^3 + 10*d^3*e^10*x^2 + 5*d^4*e^9*x + d^5*e^8) + 1/2*(B*c^3*e*x^2 - 2*(6*B*c^3*d - (3*B*b*c^2 + A*c^3)*e)*x)/e^7 + 3*(7*B*c^3*d^2 - 2*(3*B*b*c^2 + A*c^3)*d*e + (B*b^2*c + (B*a + A*b)*c^2)*e^2)*log(e*x + d)/e^8","A",0
2345,1,905,0,0.714306," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{669 \, B c^{3} d^{7} + 10 \, A a^{3} e^{7} - 147 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6} + 180 \, {\left(7 \, B c^{3} d^{2} e^{5} - 2 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{6} + {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{7}\right)} x^{5} + 30 \, {\left(175 \, B c^{3} d^{3} e^{4} - 45 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{5} + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{6} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{7}\right)} x^{4} + 20 \, {\left(455 \, B c^{3} d^{4} e^{3} - 110 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{4} + 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{5} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{6} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{7}\right)} x^{3} + 15 \, {\left(539 \, B c^{3} d^{5} e^{2} - 125 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{3} + 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{4} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{5} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{6} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{7}\right)} x^{2} + 6 \, {\left(609 \, B c^{3} d^{6} e - 137 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{3} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{4} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{5} + 3 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{6} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{7}\right)} x}{60 \, {\left(e^{14} x^{6} + 6 \, d e^{13} x^{5} + 15 \, d^{2} e^{12} x^{4} + 20 \, d^{3} e^{11} x^{3} + 15 \, d^{4} e^{10} x^{2} + 6 \, d^{5} e^{9} x + d^{6} e^{8}\right)}} + \frac{B c^{3} x}{e^{7}} - \frac{{\left(7 \, B c^{3} d - {\left(3 \, B b c^{2} + A c^{3}\right)} e\right)} \log\left(e x + d\right)}{e^{8}}"," ",0,"-1/60*(669*B*c^3*d^7 + 10*A*a^3*e^7 - 147*(3*B*b*c^2 + A*c^3)*d^6*e + 30*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 + 2*(B*a^3 + 3*A*a^2*b)*d*e^6 + 180*(7*B*c^3*d^2*e^5 - 2*(3*B*b*c^2 + A*c^3)*d*e^6 + (B*b^2*c + (B*a + A*b)*c^2)*e^7)*x^5 + 30*(175*B*c^3*d^3*e^4 - 45*(3*B*b*c^2 + A*c^3)*d^2*e^5 + 15*(B*b^2*c + (B*a + A*b)*c^2)*d*e^6 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^7)*x^4 + 20*(455*B*c^3*d^4*e^3 - 110*(3*B*b*c^2 + A*c^3)*d^3*e^4 + 30*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^5 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^6 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^7)*x^3 + 15*(539*B*c^3*d^5*e^2 - 125*(3*B*b*c^2 + A*c^3)*d^4*e^3 + 30*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^4 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^5 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^6 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^7)*x^2 + 6*(609*B*c^3*d^6*e - 137*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 30*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^3 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^4 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^5 + 3*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^6 + 2*(B*a^3 + 3*A*a^2*b)*e^7)*x)/(e^14*x^6 + 6*d*e^13*x^5 + 15*d^2*e^12*x^4 + 20*d^3*e^11*x^3 + 15*d^4*e^10*x^2 + 6*d^5*e^9*x + d^6*e^8) + B*c^3*x/e^7 - (7*B*c^3*d - (3*B*b*c^2 + A*c^3)*e)*log(e*x + d)/e^8","A",0
2346,1,926,0,1.005815," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^8,x, algorithm=""maxima"")","\frac{1089 \, B c^{3} d^{7} - 60 \, A a^{3} e^{7} - 60 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e - 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} - 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} - 12 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} - 10 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6} + 420 \, {\left(7 \, B c^{3} d e^{6} - {\left(3 \, B b c^{2} + A c^{3}\right)} e^{7}\right)} x^{6} + 630 \, {\left(21 \, B c^{3} d^{2} e^{5} - 2 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{6} - {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{7}\right)} x^{5} + 70 \, {\left(385 \, B c^{3} d^{3} e^{4} - 30 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{5} - 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{6} - 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{7}\right)} x^{4} + 35 \, {\left(875 \, B c^{3} d^{4} e^{3} - 60 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{4} - 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{5} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{6} - 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{7}\right)} x^{3} + 21 \, {\left(959 \, B c^{3} d^{5} e^{2} - 60 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{3} - 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{4} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{5} - 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{6} - 12 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{7}\right)} x^{2} + 7 \, {\left(1029 \, B c^{3} d^{6} e - 60 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} - 30 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{3} - 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{4} - 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{5} - 12 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{6} - 10 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{7}\right)} x}{420 \, {\left(e^{15} x^{7} + 7 \, d e^{14} x^{6} + 21 \, d^{2} e^{13} x^{5} + 35 \, d^{3} e^{12} x^{4} + 35 \, d^{4} e^{11} x^{3} + 21 \, d^{5} e^{10} x^{2} + 7 \, d^{6} e^{9} x + d^{7} e^{8}\right)}} + \frac{B c^{3} \log\left(e x + d\right)}{e^{8}}"," ",0,"1/420*(1089*B*c^3*d^7 - 60*A*a^3*e^7 - 60*(3*B*b*c^2 + A*c^3)*d^6*e - 30*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 - 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 - 12*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 - 10*(B*a^3 + 3*A*a^2*b)*d*e^6 + 420*(7*B*c^3*d*e^6 - (3*B*b*c^2 + A*c^3)*e^7)*x^6 + 630*(21*B*c^3*d^2*e^5 - 2*(3*B*b*c^2 + A*c^3)*d*e^6 - (B*b^2*c + (B*a + A*b)*c^2)*e^7)*x^5 + 70*(385*B*c^3*d^3*e^4 - 30*(3*B*b*c^2 + A*c^3)*d^2*e^5 - 15*(B*b^2*c + (B*a + A*b)*c^2)*d*e^6 - 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^7)*x^4 + 35*(875*B*c^3*d^4*e^3 - 60*(3*B*b*c^2 + A*c^3)*d^3*e^4 - 30*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^5 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^6 - 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^7)*x^3 + 21*(959*B*c^3*d^5*e^2 - 60*(3*B*b*c^2 + A*c^3)*d^4*e^3 - 30*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^4 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^5 - 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^6 - 12*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^7)*x^2 + 7*(1029*B*c^3*d^6*e - 60*(3*B*b*c^2 + A*c^3)*d^5*e^2 - 30*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^3 - 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^4 - 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^5 - 12*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^6 - 10*(B*a^3 + 3*A*a^2*b)*e^7)*x)/(e^15*x^7 + 7*d*e^14*x^6 + 21*d^2*e^13*x^5 + 35*d^3*e^12*x^4 + 35*d^4*e^11*x^3 + 21*d^5*e^10*x^2 + 7*d^6*e^9*x + d^7*e^8) + B*c^3*log(e*x + d)/e^8","A",0
2347,1,922,0,1.059875," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^9,x, algorithm=""maxima"")","-\frac{280 \, B c^{3} e^{7} x^{7} + 35 \, B c^{3} d^{7} + 35 \, A a^{3} e^{7} + 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 5 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} + 5 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} + 5 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6} + 140 \, {\left(7 \, B c^{3} d e^{6} + {\left(3 \, B b c^{2} + A c^{3}\right)} e^{7}\right)} x^{6} + 280 \, {\left(7 \, B c^{3} d^{2} e^{5} + {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{6} + {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{7}\right)} x^{5} + 70 \, {\left(35 \, B c^{3} d^{3} e^{4} + 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{5} + 5 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{6} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{7}\right)} x^{4} + 56 \, {\left(35 \, B c^{3} d^{4} e^{3} + 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{4} + 5 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{5} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{6} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{7}\right)} x^{3} + 28 \, {\left(35 \, B c^{3} d^{5} e^{2} + 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{3} + 5 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{4} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{5} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{6} + 5 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{7}\right)} x^{2} + 8 \, {\left(35 \, B c^{3} d^{6} e + 5 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 5 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{3} + {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{4} + {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{5} + 5 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{6} + 5 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{7}\right)} x}{280 \, {\left(e^{16} x^{8} + 8 \, d e^{15} x^{7} + 28 \, d^{2} e^{14} x^{6} + 56 \, d^{3} e^{13} x^{5} + 70 \, d^{4} e^{12} x^{4} + 56 \, d^{5} e^{11} x^{3} + 28 \, d^{6} e^{10} x^{2} + 8 \, d^{7} e^{9} x + d^{8} e^{8}\right)}}"," ",0,"-1/280*(280*B*c^3*e^7*x^7 + 35*B*c^3*d^7 + 35*A*a^3*e^7 + 5*(3*B*b*c^2 + A*c^3)*d^6*e + 5*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 + 5*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 + 5*(B*a^3 + 3*A*a^2*b)*d*e^6 + 140*(7*B*c^3*d*e^6 + (3*B*b*c^2 + A*c^3)*e^7)*x^6 + 280*(7*B*c^3*d^2*e^5 + (3*B*b*c^2 + A*c^3)*d*e^6 + (B*b^2*c + (B*a + A*b)*c^2)*e^7)*x^5 + 70*(35*B*c^3*d^3*e^4 + 5*(3*B*b*c^2 + A*c^3)*d^2*e^5 + 5*(B*b^2*c + (B*a + A*b)*c^2)*d*e^6 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^7)*x^4 + 56*(35*B*c^3*d^4*e^3 + 5*(3*B*b*c^2 + A*c^3)*d^3*e^4 + 5*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^5 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^6 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^7)*x^3 + 28*(35*B*c^3*d^5*e^2 + 5*(3*B*b*c^2 + A*c^3)*d^4*e^3 + 5*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^4 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^5 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^6 + 5*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^7)*x^2 + 8*(35*B*c^3*d^6*e + 5*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 5*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^3 + (B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^4 + (3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^5 + 5*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^6 + 5*(B*a^3 + 3*A*a^2*b)*e^7)*x)/(e^16*x^8 + 8*d*e^15*x^7 + 28*d^2*e^14*x^6 + 56*d^3*e^13*x^5 + 70*d^4*e^12*x^4 + 56*d^5*e^11*x^3 + 28*d^6*e^10*x^2 + 8*d^7*e^9*x + d^8*e^8)","A",0
2348,1,945,0,1.050494," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^10,x, algorithm=""maxima"")","-\frac{1260 \, B c^{3} e^{7} x^{7} + 35 \, B c^{3} d^{7} + 280 \, A a^{3} e^{7} + 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} + 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} + 5 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} + 30 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} + 35 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6} + 420 \, {\left(7 \, B c^{3} d e^{6} + 2 \, {\left(3 \, B b c^{2} + A c^{3}\right)} e^{7}\right)} x^{6} + 630 \, {\left(7 \, B c^{3} d^{2} e^{5} + 2 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{6} + 3 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{7}\right)} x^{5} + 126 \, {\left(35 \, B c^{3} d^{3} e^{4} + 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{5} + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{6} + 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{7}\right)} x^{4} + 84 \, {\left(35 \, B c^{3} d^{4} e^{3} + 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{4} + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{5} + 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{6} + 5 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{7}\right)} x^{3} + 36 \, {\left(35 \, B c^{3} d^{5} e^{2} + 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{3} + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{4} + 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{5} + 5 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{6} + 30 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{7}\right)} x^{2} + 9 \, {\left(35 \, B c^{3} d^{6} e + 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 15 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{3} + 4 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{4} + 5 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{5} + 30 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{6} + 35 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{7}\right)} x}{2520 \, {\left(e^{17} x^{9} + 9 \, d e^{16} x^{8} + 36 \, d^{2} e^{15} x^{7} + 84 \, d^{3} e^{14} x^{6} + 126 \, d^{4} e^{13} x^{5} + 126 \, d^{5} e^{12} x^{4} + 84 \, d^{6} e^{11} x^{3} + 36 \, d^{7} e^{10} x^{2} + 9 \, d^{8} e^{9} x + d^{9} e^{8}\right)}}"," ",0,"-1/2520*(1260*B*c^3*e^7*x^7 + 35*B*c^3*d^7 + 280*A*a^3*e^7 + 10*(3*B*b*c^2 + A*c^3)*d^6*e + 15*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 + 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 + 5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 + 30*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 + 35*(B*a^3 + 3*A*a^2*b)*d*e^6 + 420*(7*B*c^3*d*e^6 + 2*(3*B*b*c^2 + A*c^3)*e^7)*x^6 + 630*(7*B*c^3*d^2*e^5 + 2*(3*B*b*c^2 + A*c^3)*d*e^6 + 3*(B*b^2*c + (B*a + A*b)*c^2)*e^7)*x^5 + 126*(35*B*c^3*d^3*e^4 + 10*(3*B*b*c^2 + A*c^3)*d^2*e^5 + 15*(B*b^2*c + (B*a + A*b)*c^2)*d*e^6 + 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^7)*x^4 + 84*(35*B*c^3*d^4*e^3 + 10*(3*B*b*c^2 + A*c^3)*d^3*e^4 + 15*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^5 + 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^6 + 5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^7)*x^3 + 36*(35*B*c^3*d^5*e^2 + 10*(3*B*b*c^2 + A*c^3)*d^4*e^3 + 15*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^4 + 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^5 + 5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^6 + 30*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^7)*x^2 + 9*(35*B*c^3*d^6*e + 10*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 15*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^3 + 4*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^4 + 5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^5 + 30*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^6 + 35*(B*a^3 + 3*A*a^2*b)*e^7)*x)/(e^17*x^9 + 9*d*e^16*x^8 + 36*d^2*e^15*x^7 + 84*d^3*e^14*x^6 + 126*d^4*e^13*x^5 + 126*d^5*e^12*x^4 + 84*d^6*e^11*x^3 + 36*d^7*e^10*x^2 + 9*d^8*e^9*x + d^9*e^8)","A",0
2349,1,956,0,1.017119," ","integrate((B*x+A)*(c*x^2+b*x+a)^3/(e*x+d)^11,x, algorithm=""maxima"")","-\frac{840 \, B c^{3} e^{7} x^{7} + 7 \, B c^{3} d^{7} + 252 \, A a^{3} e^{7} + 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{6} e + 6 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{5} e^{2} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{4} e^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{3} e^{4} + 21 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d^{2} e^{5} + 28 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} d e^{6} + 210 \, {\left(7 \, B c^{3} d e^{6} + 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} e^{7}\right)} x^{6} + 252 \, {\left(7 \, B c^{3} d^{2} e^{5} + 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d e^{6} + 6 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} e^{7}\right)} x^{5} + 210 \, {\left(7 \, B c^{3} d^{3} e^{4} + 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{2} e^{5} + 6 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d e^{6} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} e^{7}\right)} x^{4} + 120 \, {\left(7 \, B c^{3} d^{4} e^{3} + 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{3} e^{4} + 6 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{2} e^{5} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d e^{6} + 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} e^{7}\right)} x^{3} + 45 \, {\left(7 \, B c^{3} d^{5} e^{2} + 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{4} e^{3} + 6 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{3} e^{4} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{2} e^{5} + 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d e^{6} + 21 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} e^{7}\right)} x^{2} + 10 \, {\left(7 \, B c^{3} d^{6} e + 3 \, {\left(3 \, B b c^{2} + A c^{3}\right)} d^{5} e^{2} + 6 \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} d^{4} e^{3} + 2 \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} d^{3} e^{4} + 3 \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} d^{2} e^{5} + 21 \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} d e^{6} + 28 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} e^{7}\right)} x}{2520 \, {\left(e^{18} x^{10} + 10 \, d e^{17} x^{9} + 45 \, d^{2} e^{16} x^{8} + 120 \, d^{3} e^{15} x^{7} + 210 \, d^{4} e^{14} x^{6} + 252 \, d^{5} e^{13} x^{5} + 210 \, d^{6} e^{12} x^{4} + 120 \, d^{7} e^{11} x^{3} + 45 \, d^{8} e^{10} x^{2} + 10 \, d^{9} e^{9} x + d^{10} e^{8}\right)}}"," ",0,"-1/2520*(840*B*c^3*e^7*x^7 + 7*B*c^3*d^7 + 252*A*a^3*e^7 + 3*(3*B*b*c^2 + A*c^3)*d^6*e + 6*(B*b^2*c + (B*a + A*b)*c^2)*d^5*e^2 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^4*e^3 + 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^3*e^4 + 21*(B*a^2*b + A*a*b^2 + A*a^2*c)*d^2*e^5 + 28*(B*a^3 + 3*A*a^2*b)*d*e^6 + 210*(7*B*c^3*d*e^6 + 3*(3*B*b*c^2 + A*c^3)*e^7)*x^6 + 252*(7*B*c^3*d^2*e^5 + 3*(3*B*b*c^2 + A*c^3)*d*e^6 + 6*(B*b^2*c + (B*a + A*b)*c^2)*e^7)*x^5 + 210*(7*B*c^3*d^3*e^4 + 3*(3*B*b*c^2 + A*c^3)*d^2*e^5 + 6*(B*b^2*c + (B*a + A*b)*c^2)*d*e^6 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*e^7)*x^4 + 120*(7*B*c^3*d^4*e^3 + 3*(3*B*b*c^2 + A*c^3)*d^3*e^4 + 6*(B*b^2*c + (B*a + A*b)*c^2)*d^2*e^5 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d*e^6 + 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*e^7)*x^3 + 45*(7*B*c^3*d^5*e^2 + 3*(3*B*b*c^2 + A*c^3)*d^4*e^3 + 6*(B*b^2*c + (B*a + A*b)*c^2)*d^3*e^4 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^2*e^5 + 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d*e^6 + 21*(B*a^2*b + A*a*b^2 + A*a^2*c)*e^7)*x^2 + 10*(7*B*c^3*d^6*e + 3*(3*B*b*c^2 + A*c^3)*d^5*e^2 + 6*(B*b^2*c + (B*a + A*b)*c^2)*d^4*e^3 + 2*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*d^3*e^4 + 3*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*d^2*e^5 + 21*(B*a^2*b + A*a*b^2 + A*a^2*c)*d*e^6 + 28*(B*a^3 + 3*A*a^2*b)*e^7)*x)/(e^18*x^10 + 10*d*e^17*x^9 + 45*d^2*e^16*x^8 + 120*d^3*e^15*x^7 + 210*d^4*e^14*x^6 + 252*d^5*e^13*x^5 + 210*d^6*e^12*x^4 + 120*d^7*e^11*x^3 + 45*d^8*e^10*x^2 + 10*d^9*e^9*x + d^10*e^8)","A",0
2350,1,215,0,0.650097," ","integrate(x*(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} a}{{\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} b}{{\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} c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}}"," ",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^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/((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*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4)","A",0
2351,1,168,0,0.569474," ","integrate(x*(e*x+d)^5*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{9} \, c e^{5} x^{9} + \frac{1}{8} \, {\left(5 \, c d e^{4} + b e^{5}\right)} x^{8} + \frac{1}{2} \, a d^{5} x^{2} + \frac{1}{7} \, {\left(10 \, c d^{2} e^{3} + 5 \, b d e^{4} + a e^{5}\right)} x^{7} + \frac{5}{6} \, {\left(2 \, c d^{3} e^{2} + 2 \, b d^{2} e^{3} + a d e^{4}\right)} x^{6} + {\left(c d^{4} e + 2 \, b d^{3} e^{2} + 2 \, a d^{2} e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(c d^{5} + 5 \, b d^{4} e + 10 \, a d^{3} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(b d^{5} + 5 \, a d^{4} e\right)} x^{3}"," ",0,"1/9*c*e^5*x^9 + 1/8*(5*c*d*e^4 + b*e^5)*x^8 + 1/2*a*d^5*x^2 + 1/7*(10*c*d^2*e^3 + 5*b*d*e^4 + a*e^5)*x^7 + 5/6*(2*c*d^3*e^2 + 2*b*d^2*e^3 + a*d*e^4)*x^6 + (c*d^4*e + 2*b*d^3*e^2 + 2*a*d^2*e^3)*x^5 + 1/4*(c*d^5 + 5*b*d^4*e + 10*a*d^3*e^2)*x^4 + 1/3*(b*d^5 + 5*a*d^4*e)*x^3","A",0
2352,1,138,0,0.729861," ","integrate(x*(e*x+d)^4*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{8} \, c e^{4} x^{8} + \frac{1}{7} \, {\left(4 \, c d e^{3} + b e^{4}\right)} x^{7} + \frac{1}{2} \, a d^{4} x^{2} + \frac{1}{6} \, {\left(6 \, c d^{2} e^{2} + 4 \, b d e^{3} + a e^{4}\right)} x^{6} + \frac{2}{5} \, {\left(2 \, c d^{3} e + 3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(c d^{4} + 4 \, b d^{3} e + 6 \, a d^{2} e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(b d^{4} + 4 \, a d^{3} e\right)} x^{3}"," ",0,"1/8*c*e^4*x^8 + 1/7*(4*c*d*e^3 + b*e^4)*x^7 + 1/2*a*d^4*x^2 + 1/6*(6*c*d^2*e^2 + 4*b*d*e^3 + a*e^4)*x^6 + 2/5*(2*c*d^3*e + 3*b*d^2*e^2 + 2*a*d*e^3)*x^5 + 1/4*(c*d^4 + 4*b*d^3*e + 6*a*d^2*e^2)*x^4 + 1/3*(b*d^4 + 4*a*d^3*e)*x^3","A",0
2353,1,105,0,0.496784," ","integrate(x*(e*x+d)^3*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{7} \, c e^{3} x^{7} + \frac{1}{6} \, {\left(3 \, c d e^{2} + b e^{3}\right)} x^{6} + \frac{1}{2} \, a d^{3} x^{2} + \frac{1}{5} \, {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} x^{5} + \frac{1}{4} \, {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(b d^{3} + 3 \, a d^{2} e\right)} x^{3}"," ",0,"1/7*c*e^3*x^7 + 1/6*(3*c*d*e^2 + b*e^3)*x^6 + 1/2*a*d^3*x^2 + 1/5*(3*c*d^2*e + 3*b*d*e^2 + a*e^3)*x^5 + 1/4*(c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*x^4 + 1/3*(b*d^3 + 3*a*d^2*e)*x^3","A",0
2354,1,72,0,0.565439," ","integrate(x*(e*x+d)^2*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{6} \, c e^{2} x^{6} + \frac{1}{5} \, {\left(2 \, c d e + b e^{2}\right)} x^{5} + \frac{1}{2} \, a d^{2} x^{2} + \frac{1}{4} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{4} + \frac{1}{3} \, {\left(b d^{2} + 2 \, a d e\right)} x^{3}"," ",0,"1/6*c*e^2*x^6 + 1/5*(2*c*d*e + b*e^2)*x^5 + 1/2*a*d^2*x^2 + 1/4*(c*d^2 + 2*b*d*e + a*e^2)*x^4 + 1/3*(b*d^2 + 2*a*d*e)*x^3","A",0
2355,1,39,0,0.602919," ","integrate(x*(e*x+d)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{5} \, c e x^{5} + \frac{1}{4} \, {\left(c d + b e\right)} x^{4} + \frac{1}{2} \, a d x^{2} + \frac{1}{3} \, {\left(b d + a e\right)} x^{3}"," ",0,"1/5*c*e*x^5 + 1/4*(c*d + b*e)*x^4 + 1/2*a*d*x^2 + 1/3*(b*d + a*e)*x^3","A",0
2356,1,19,0,0.653539," ","integrate(x*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, c x^{4} + \frac{1}{3} \, b x^{3} + \frac{1}{2} \, a x^{2}"," ",0,"1/4*c*x^4 + 1/3*b*x^3 + 1/2*a*x^2","A",0
2357,1,81,0,0.496144," ","integrate(x*(c*x^2+b*x+a)/(e*x+d),x, algorithm=""maxima"")","\frac{2 \, c e^{2} x^{3} - 3 \, {\left(c d e - b e^{2}\right)} x^{2} + 6 \, {\left(c d^{2} - b d e + a e^{2}\right)} x}{6 \, e^{3}} - \frac{{\left(c d^{3} - b d^{2} e + a d e^{2}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(2*c*e^2*x^3 - 3*(c*d*e - b*e^2)*x^2 + 6*(c*d^2 - b*d*e + a*e^2)*x)/e^3 - (c*d^3 - b*d^2*e + a*d*e^2)*log(e*x + d)/e^4","A",0
2358,1,85,0,0.505647," ","integrate(x*(c*x^2+b*x+a)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{c d^{3} - b d^{2} e + a d e^{2}}{e^{5} x + d e^{4}} + \frac{c e x^{2} - 2 \, {\left(2 \, c d - b e\right)} x}{2 \, e^{3}} + \frac{{\left(3 \, c d^{2} - 2 \, b d e + a e^{2}\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"(c*d^3 - b*d^2*e + a*d*e^2)/(e^5*x + d*e^4) + 1/2*(c*e*x^2 - 2*(2*c*d - b*e)*x)/e^3 + (3*c*d^2 - 2*b*d*e + a*e^2)*log(e*x + d)/e^4","A",0
2359,1,96,0,0.625899," ","integrate(x*(c*x^2+b*x+a)/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{5 \, c d^{3} - 3 \, b d^{2} e + a d e^{2} + 2 \, {\left(3 \, c d^{2} e - 2 \, b d e^{2} + a e^{3}\right)} x}{2 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} + \frac{c x}{e^{3}} - \frac{{\left(3 \, c d - b e\right)} \log\left(e x + d\right)}{e^{4}}"," ",0,"-1/2*(5*c*d^3 - 3*b*d^2*e + a*d*e^2 + 2*(3*c*d^2*e - 2*b*d*e^2 + a*e^3)*x)/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) + c*x/e^3 - (3*c*d - b*e)*log(e*x + d)/e^4","A",0
2360,1,113,0,0.607469," ","integrate(x*(c*x^2+b*x+a)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{11 \, c d^{3} - 2 \, b d^{2} e - a d e^{2} + 6 \, {\left(3 \, c d e^{2} - b e^{3}\right)} x^{2} + 3 \, {\left(9 \, c d^{2} e - 2 \, b d e^{2} - a e^{3}\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)}} + \frac{c \log\left(e x + d\right)}{e^{4}}"," ",0,"1/6*(11*c*d^3 - 2*b*d^2*e - a*d*e^2 + 6*(3*c*d*e^2 - b*e^3)*x^2 + 3*(9*c*d^2*e - 2*b*d*e^2 - a*e^3)*x)/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) + c*log(e*x + d)/e^4","A",0
2361,1,116,0,0.467797," ","integrate(x*(c*x^2+b*x+a)/(e*x+d)^5,x, algorithm=""maxima"")","-\frac{12 \, c e^{3} x^{3} + 3 \, c d^{3} + b d^{2} e + a d e^{2} + 6 \, {\left(3 \, c d e^{2} + b e^{3}\right)} x^{2} + 4 \, {\left(3 \, c d^{2} e + b d e^{2} + a e^{3}\right)} x}{12 \, {\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,"-1/12*(12*c*e^3*x^3 + 3*c*d^3 + b*d^2*e + a*d*e^2 + 6*(3*c*d*e^2 + b*e^3)*x^2 + 4*(3*c*d^2*e + b*d*e^2 + a*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)","A",0
2362,1,132,0,0.531529," ","integrate(x*(c*x^2+b*x+a)/(e*x+d)^6,x, algorithm=""maxima"")","-\frac{30 \, c e^{3} x^{3} + 3 \, c d^{3} + 2 \, b d^{2} e + 3 \, a d e^{2} + 10 \, {\left(3 \, c d e^{2} + 2 \, b e^{3}\right)} x^{2} + 5 \, {\left(3 \, c d^{2} e + 2 \, b d e^{2} + 3 \, a e^{3}\right)} x}{60 \, {\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,"-1/60*(30*c*e^3*x^3 + 3*c*d^3 + 2*b*d^2*e + 3*a*d*e^2 + 10*(3*c*d*e^2 + 2*b*e^3)*x^2 + 5*(3*c*d^2*e + 2*b*d*e^2 + 3*a*e^3)*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)","A",0
2363,1,137,0,0.621180," ","integrate(x*(c*x^2+b*x+a)/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{20 \, c e^{3} x^{3} + c d^{3} + b d^{2} e + 2 \, a d e^{2} + 15 \, {\left(c d e^{2} + b e^{3}\right)} x^{2} + 6 \, {\left(c d^{2} e + b d e^{2} + 2 \, a e^{3}\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*e^3*x^3 + c*d^3 + b*d^2*e + 2*a*d*e^2 + 15*(c*d*e^2 + b*e^3)*x^2 + 6*(c*d^2*e + b*d*e^2 + 2*a*e^3)*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
2364,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2365,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2366,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2367,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2368,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2369,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2370,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2371,-2,0,0,0.000000," ","integrate((e*x+d)^4*(g*x+f)/(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
2372,-2,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)/(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
2373,-2,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)/(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
2374,-2,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)/(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
2375,-2,0,0,0.000000," ","integrate((g*x+f)/(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
2376,-2,0,0,0.000000," ","integrate((g*x+f)/(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
2377,-2,0,0,0.000000," ","integrate((g*x+f)/(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
2378,1,33,0,0.492089," ","integrate((5-x)*(3+2*x)^4/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{4}{3} \, x^{4} + \frac{32}{27} \, x^{3} + \frac{1156}{27} \, x^{2} + \frac{11576}{81} \, x + \frac{10625}{243} \, \log\left(3 \, x + 2\right) - 6 \, \log\left(x + 1\right)"," ",0,"-4/3*x^4 + 32/27*x^3 + 1156/27*x^2 + 11576/81*x + 10625/243*log(3*x + 2) - 6*log(x + 1)","A",0
2379,1,28,0,0.504548," ","integrate((5-x)*(3+2*x)^3/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{8}{9} \, x^{3} + \frac{26}{9} \, x^{2} + \frac{922}{27} \, x + \frac{2125}{81} \, \log\left(3 \, x + 2\right) - 6 \, \log\left(x + 1\right)"," ",0,"-8/9*x^3 + 26/9*x^2 + 922/27*x + 2125/81*log(3*x + 2) - 6*log(x + 1)","A",0
2380,1,23,0,0.561090," ","integrate((5-x)*(3+2*x)^2/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{2}{3} \, x^{2} + \frac{44}{9} \, x + \frac{425}{27} \, \log\left(3 \, x + 2\right) - 6 \, \log\left(x + 1\right)"," ",0,"-2/3*x^2 + 44/9*x + 425/27*log(3*x + 2) - 6*log(x + 1)","A",0
2381,1,18,0,0.483504," ","integrate((5-x)*(3+2*x)/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{2}{3} \, x + \frac{85}{9} \, \log\left(3 \, x + 2\right) - 6 \, \log\left(x + 1\right)"," ",0,"-2/3*x + 85/9*log(3*x + 2) - 6*log(x + 1)","A",0
2382,1,15,0,0.726901," ","integrate((5-x)/(3*x^2+5*x+2),x, algorithm=""maxima"")","\frac{17}{3} \, \log\left(3 \, x + 2\right) - 6 \, \log\left(x + 1\right)"," ",0,"17/3*log(3*x + 2) - 6*log(x + 1)","A",0
2383,1,23,0,0.553235," ","integrate((5-x)/(3+2*x)/(3*x^2+5*x+2),x, algorithm=""maxima"")","\frac{17}{5} \, \log\left(3 \, x + 2\right) + \frac{13}{5} \, \log\left(2 \, x + 3\right) - 6 \, \log\left(x + 1\right)"," ",0,"17/5*log(3*x + 2) + 13/5*log(2*x + 3) - 6*log(x + 1)","A",0
2384,1,32,0,0.727131," ","integrate((5-x)/(3+2*x)^2/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{13}{5 \, {\left(2 \, x + 3\right)}} + \frac{51}{25} \, \log\left(3 \, x + 2\right) + \frac{99}{25} \, \log\left(2 \, x + 3\right) - 6 \, \log\left(x + 1\right)"," ",0,"-13/5/(2*x + 3) + 51/25*log(3*x + 2) + 99/25*log(2*x + 3) - 6*log(x + 1)","A",0
2385,1,42,0,0.578294," ","integrate((5-x)/(3+2*x)^3/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{396 \, x + 659}{50 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{153}{125} \, \log\left(3 \, x + 2\right) + \frac{597}{125} \, \log\left(2 \, x + 3\right) - 6 \, \log\left(x + 1\right)"," ",0,"-1/50*(396*x + 659)/(4*x^2 + 12*x + 9) + 153/125*log(3*x + 2) + 597/125*log(2*x + 3) - 6*log(x + 1)","A",0
2386,1,52,0,0.548293," ","integrate((5-x)/(3+2*x)^4/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{14328 \, x^{2} + 45954 \, x + 37343}{750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} + \frac{459}{625} \, \log\left(3 \, x + 2\right) + \frac{3291}{625} \, \log\left(2 \, x + 3\right) - 6 \, \log\left(x + 1\right)"," ",0,"-1/750*(14328*x^2 + 45954*x + 37343)/(8*x^3 + 36*x^2 + 54*x + 27) + 459/625*log(3*x + 2) + 3291/625*log(2*x + 3) - 6*log(x + 1)","A",0
2387,1,42,0,0.822546," ","integrate((5-x)*(3+2*x)^4/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{8}{9} \, x^{2} + \frac{112}{27} \, x - \frac{12083 \, x + 11597}{81 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}} - \frac{1625}{27} \, \log\left(3 \, x + 2\right) + 83 \, \log\left(x + 1\right)"," ",0,"-8/9*x^2 + 112/27*x - 1/81*(12083*x + 11597)/(3*x^2 + 5*x + 2) - 1625/27*log(3*x + 2) + 83*log(x + 1)","A",0
2388,1,37,0,0.563814," ","integrate((5-x)*(3+2*x)^3/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{8}{9} \, x - \frac{2611 \, x + 2449}{27 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}} - \frac{1825}{27} \, \log\left(3 \, x + 2\right) + 71 \, \log\left(x + 1\right)"," ",0,"-8/9*x - 1/27*(2611*x + 2449)/(3*x^2 + 5*x + 2) - 1825/27*log(3*x + 2) + 71*log(x + 1)","A",0
2389,1,34,0,0.470842," ","integrate((5-x)*(3+2*x)^2/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{587 \, x + 533}{9 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}} - \frac{535}{9} \, \log\left(3 \, x + 2\right) + 59 \, \log\left(x + 1\right)"," ",0,"-1/9*(587*x + 533)/(3*x^2 + 5*x + 2) - 535/9*log(3*x + 2) + 59*log(x + 1)","A",0
2390,1,34,0,0.606995," ","integrate((5-x)*(3+2*x)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{139 \, x + 121}{3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}} - 47 \, \log\left(3 \, x + 2\right) + 47 \, \log\left(x + 1\right)"," ",0,"-1/3*(139*x + 121)/(3*x^2 + 5*x + 2) - 47*log(3*x + 2) + 47*log(x + 1)","A",0
2391,1,34,0,0.530956," ","integrate((5-x)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{35 \, x + 29}{3 \, x^{2} + 5 \, x + 2} - 35 \, \log\left(3 \, x + 2\right) + 35 \, \log\left(x + 1\right)"," ",0,"-(35*x + 29)/(3*x^2 + 5*x + 2) - 35*log(3*x + 2) + 35*log(x + 1)","A",0
2392,1,42,0,0.464453," ","integrate((5-x)/(3+2*x)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{3 \, {\left(47 \, x + 37\right)}}{5 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}} - \frac{627}{25} \, \log\left(3 \, x + 2\right) + \frac{52}{25} \, \log\left(2 \, x + 3\right) + 23 \, \log\left(x + 1\right)"," ",0,"-3/5*(47*x + 37)/(3*x^2 + 5*x + 2) - 627/25*log(3*x + 2) + 52/25*log(2*x + 3) + 23*log(x + 1)","A",0
2393,1,52,0,0.561861," ","integrate((5-x)/(3+2*x)^2/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{1362 \, x^{2} + 2975 \, x + 1463}{25 \, {\left(6 \, x^{3} + 19 \, x^{2} + 19 \, x + 6\right)}} - \frac{2187}{125} \, \log\left(3 \, x + 2\right) + \frac{812}{125} \, \log\left(2 \, x + 3\right) + 11 \, \log\left(x + 1\right)"," ",0,"-1/25*(1362*x^2 + 2975*x + 1463)/(6*x^3 + 19*x^2 + 19*x + 6) - 2187/125*log(3*x + 2) + 812/125*log(2*x + 3) + 11*log(x + 1)","A",0
2394,1,62,0,0.616991," ","integrate((5-x)/(3+2*x)^3/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{15708 \, x^{3} + 56162 \, x^{2} + 63967 \, x + 22763}{125 \, {\left(12 \, x^{4} + 56 \, x^{3} + 95 \, x^{2} + 69 \, x + 18\right)}} - \frac{7479}{625} \, \log\left(3 \, x + 2\right) + \frac{8104}{625} \, \log\left(2 \, x + 3\right) - \log\left(x + 1\right)"," ",0,"-1/125*(15708*x^3 + 56162*x^2 + 63967*x + 22763)/(12*x^4 + 56*x^3 + 95*x^2 + 69*x + 18) - 7479/625*log(3*x + 2) + 8104/625*log(2*x + 3) - log(x + 1)","A",0
2395,1,72,0,0.514145," ","integrate((5-x)/(3+2*x)^4/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{594792 \, x^{4} + 2974776 \, x^{3} + 5433540 \, x^{2} + 4260599 \, x + 1195793}{1875 \, {\left(24 \, x^{5} + 148 \, x^{4} + 358 \, x^{3} + 423 \, x^{2} + 243 \, x + 54\right)}} - \frac{25191}{3125} \, \log\left(3 \, x + 2\right) + \frac{65816}{3125} \, \log\left(2 \, x + 3\right) - 13 \, \log\left(x + 1\right)"," ",0,"-1/1875*(594792*x^4 + 2974776*x^3 + 5433540*x^2 + 4260599*x + 1195793)/(24*x^5 + 148*x^4 + 358*x^3 + 423*x^2 + 243*x + 54) - 25191/3125*log(3*x + 2) + 65816/3125*log(2*x + 3) - 13*log(x + 1)","A",0
2396,1,57,0,0.547196," ","integrate((5-x)*(3+2*x)^5/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","-\frac{32}{27} \, x + \frac{502254 \, x^{3} + 1235675 \, x^{2} + 979978 \, x + 247043}{162 \, {\left(9 \, x^{4} + 30 \, x^{3} + 37 \, x^{2} + 20 \, x + 4\right)}} + \frac{29375}{27} \, \log\left(3 \, x + 2\right) - 1085 \, \log\left(x + 1\right)"," ",0,"-32/27*x + 1/162*(502254*x^3 + 1235675*x^2 + 979978*x + 247043)/(9*x^4 + 30*x^3 + 37*x^2 + 20*x + 4) + 29375/27*log(3*x + 2) - 1085*log(x + 1)","A",0
2397,1,54,0,0.494262," ","integrate((5-x)*(3+2*x)^4/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{47362 \, x^{3} + 117789 \, x^{2} + 94986 \, x + 24613}{18 \, {\left(9 \, x^{4} + 30 \, x^{3} + 37 \, x^{2} + 20 \, x + 4\right)}} + \frac{23825}{27} \, \log\left(3 \, x + 2\right) - 883 \, \log\left(x + 1\right)"," ",0,"1/18*(47362*x^3 + 117789*x^2 + 94986*x + 24613)/(9*x^4 + 30*x^3 + 37*x^2 + 20*x + 4) + 23825/27*log(3*x + 2) - 883*log(x + 1)","A",0
2398,1,54,0,0.546556," ","integrate((5-x)*(3+2*x)^3/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{38118 \, x^{3} + 95203 \, x^{2} + 77330 \, x + 20299}{18 \, {\left(9 \, x^{4} + 30 \, x^{3} + 37 \, x^{2} + 20 \, x + 4\right)}} + 705 \, \log\left(3 \, x + 2\right) - 705 \, \log\left(x + 1\right)"," ",0,"1/18*(38118*x^3 + 95203*x^2 + 77330*x + 20299)/(9*x^4 + 30*x^3 + 37*x^2 + 20*x + 4) + 705*log(3*x + 2) - 705*log(x + 1)","A",0
2399,1,54,0,0.541679," ","integrate((5-x)*(3+2*x)^2/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{9918 \, x^{3} + 24799 \, x^{2} + 20198 \, x + 5335}{6 \, {\left(9 \, x^{4} + 30 \, x^{3} + 37 \, x^{2} + 20 \, x + 4\right)}} + 551 \, \log\left(3 \, x + 2\right) - 551 \, \log\left(x + 1\right)"," ",0,"1/6*(9918*x^3 + 24799*x^2 + 20198*x + 5335)/(9*x^4 + 30*x^3 + 37*x^2 + 20*x + 4) + 551*log(3*x + 2) - 551*log(x + 1)","A",0
2400,1,54,0,0.482749," ","integrate((5-x)*(3+2*x)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{2526 \, x^{3} + 6315 \, x^{2} + 5146 \, x + 1363}{2 \, {\left(9 \, x^{4} + 30 \, x^{3} + 37 \, x^{2} + 20 \, x + 4\right)}} + 421 \, \log\left(3 \, x + 2\right) - 421 \, \log\left(x + 1\right)"," ",0,"1/2*(2526*x^3 + 6315*x^2 + 5146*x + 1363)/(9*x^4 + 30*x^3 + 37*x^2 + 20*x + 4) + 421*log(3*x + 2) - 421*log(x + 1)","A",0
2401,1,54,0,0.495584," ","integrate((5-x)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{1890 \, x^{3} + 4725 \, x^{2} + 3850 \, x + 1021}{2 \, {\left(9 \, x^{4} + 30 \, x^{3} + 37 \, x^{2} + 20 \, x + 4\right)}} + 315 \, \log\left(3 \, x + 2\right) - 315 \, \log\left(x + 1\right)"," ",0,"1/2*(1890*x^3 + 4725*x^2 + 3850*x + 1021)/(9*x^4 + 30*x^3 + 37*x^2 + 20*x + 4) + 315*log(3*x + 2) - 315*log(x + 1)","A",0
2402,1,62,0,0.586573," ","integrate((5-x)/(3+2*x)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{34326 \, x^{3} + 85971 \, x^{2} + 70114 \, x + 18619}{50 \, {\left(9 \, x^{4} + 30 \, x^{3} + 37 \, x^{2} + 20 \, x + 4\right)}} + \frac{28917}{125} \, \log\left(3 \, x + 2\right) + \frac{208}{125} \, \log\left(2 \, x + 3\right) - 233 \, \log\left(x + 1\right)"," ",0,"1/50*(34326*x^3 + 85971*x^2 + 70114*x + 18619)/(9*x^4 + 30*x^3 + 37*x^2 + 20*x + 4) + 28917/125*log(3*x + 2) + 208/125*log(2*x + 3) - 233*log(x + 1)","A",0
2403,1,72,0,0.687532," ","integrate((5-x)/(3+2*x)^2/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{233028 \, x^{4} + 939480 \, x^{3} + 1368599 \, x^{2} + 855120 \, x + 193723}{250 \, {\left(18 \, x^{5} + 87 \, x^{4} + 164 \, x^{3} + 151 \, x^{2} + 68 \, x + 12\right)}} + \frac{104463}{625} \, \log\left(3 \, x + 2\right) + \frac{4912}{625} \, \log\left(2 \, x + 3\right) - 175 \, \log\left(x + 1\right)"," ",0,"1/250*(233028*x^4 + 939480*x^3 + 1368599*x^2 + 855120*x + 193723)/(18*x^5 + 87*x^4 + 164*x^3 + 151*x^2 + 68*x + 12) + 104463/625*log(3*x + 2) + 4912/625*log(2*x + 3) - 175*log(x + 1)","A",0
2404,1,82,0,0.587016," ","integrate((5-x)/(3+2*x)^3/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{1291896 \, x^{5} + 7311204 \, x^{4} + 16096458 \, x^{3} + 17180967 \, x^{2} + 8871646 \, x + 1771579}{1250 \, {\left(36 \, x^{6} + 228 \, x^{5} + 589 \, x^{4} + 794 \, x^{3} + 589 \, x^{2} + 228 \, x + 36\right)}} + \frac{372033}{3125} \, \log\left(3 \, x + 2\right) + \frac{68592}{3125} \, \log\left(2 \, x + 3\right) - 141 \, \log\left(x + 1\right)"," ",0,"1/1250*(1291896*x^5 + 7311204*x^4 + 16096458*x^3 + 17180967*x^2 + 8871646*x + 1771579)/(36*x^6 + 228*x^5 + 589*x^4 + 794*x^3 + 589*x^2 + 228*x + 36) + 372033/3125*log(3*x + 2) + 68592/3125*log(2*x + 3) - 141*log(x + 1)","A",0
2405,1,32,0,0.519752," ","integrate(x*(1+x)^2/(x^2+x+1)^3,x, algorithm=""maxima"")","-\frac{3 \, x^{2} + 4 \, x + 2}{6 \, {\left(x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1\right)}}"," ",0,"-1/6*(3*x^2 + 4*x + 2)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)","A",0
2406,1,138,0,1.240659," ","integrate((5-x)*(3+2*x)^4*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{16}{21} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{4} + \frac{52}{189} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{3} + \frac{5542}{315} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{2} + \frac{34931}{756} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{2654033}{68040} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{25969}{2592} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{25969}{93312} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{129845}{15552} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-16/21*(3*x^2 + 5*x + 2)^(3/2)*x^4 + 52/189*(3*x^2 + 5*x + 2)^(3/2)*x^3 + 5542/315*(3*x^2 + 5*x + 2)^(3/2)*x^2 + 34931/756*(3*x^2 + 5*x + 2)^(3/2)*x + 2654033/68040*(3*x^2 + 5*x + 2)^(3/2) + 25969/2592*sqrt(3*x^2 + 5*x + 2)*x - 25969/93312*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 129845/15552*sqrt(3*x^2 + 5*x + 2)","A",0
2407,1,121,0,1.353864," ","integrate((5-x)*(3+2*x)^3*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{4}{9} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{3} + \frac{14}{15} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{2} + \frac{337}{36} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{44011}{3240} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{6221}{864} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{6221}{31104} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{31105}{5184} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-4/9*(3*x^2 + 5*x + 2)^(3/2)*x^3 + 14/15*(3*x^2 + 5*x + 2)^(3/2)*x^2 + 337/36*(3*x^2 + 5*x + 2)^(3/2)*x + 44011/3240*(3*x^2 + 5*x + 2)^(3/2) + 6221/864*sqrt(3*x^2 + 5*x + 2)*x - 6221/31104*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 31105/5184*sqrt(3*x^2 + 5*x + 2)","A",0
2408,1,104,0,1.316105," ","integrate((5-x)*(3+2*x)^2*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{4}{15} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{2} + \frac{19}{18} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{6997}{1620} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{2267}{432} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{2267}{15552} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{11335}{2592} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-4/15*(3*x^2 + 5*x + 2)^(3/2)*x^2 + 19/18*(3*x^2 + 5*x + 2)^(3/2)*x + 6997/1620*(3*x^2 + 5*x + 2)^(3/2) + 2267/432*sqrt(3*x^2 + 5*x + 2)*x - 2267/15552*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 11335/2592*sqrt(3*x^2 + 5*x + 2)","A",0
2409,1,87,0,1.333783," ","integrate((5-x)*(3+2*x)*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{109}{108} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{559}{144} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{559}{5184} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{2795}{864} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/6*(3*x^2 + 5*x + 2)^(3/2)*x + 109/108*(3*x^2 + 5*x + 2)^(3/2) + 559/144*sqrt(3*x^2 + 5*x + 2)*x - 559/5184*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 2795/864*sqrt(3*x^2 + 5*x + 2)","A",0
2410,1,72,0,1.348951," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{9} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{35}{12} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{35}{432} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{175}{72} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/9*(3*x^2 + 5*x + 2)^(3/2) + 35/12*sqrt(3*x^2 + 5*x + 2)*x - 35/432*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 175/72*sqrt(3*x^2 + 5*x + 2)","A",0
2411,1,99,0,1.114535," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{311}{144} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{13}{8} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{73}{24} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/4*sqrt(3*x^2 + 5*x + 2)*x - 311/144*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 13/8*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 73/24*sqrt(3*x^2 + 5*x + 2)","A",0
2412,1,105,0,1.218625," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^2,x, algorithm=""maxima"")","\frac{43}{24} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{57}{40} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{1}{4} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{13 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{4 \, {\left(2 \, x + 3\right)}}"," ",0,"43/24*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 57/40*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 1/4*sqrt(3*x^2 + 5*x + 2) - 13/4*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2413,1,131,0,1.189193," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{27}{400} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{39}{40} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{10 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{21 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{20 \, {\left(2 \, x + 3\right)}}"," ",0,"-1/8*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 27/400*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 39/40*sqrt(3*x^2 + 5*x + 2) - 13/10*(3*x^2 + 5*x + 2)^(3/2)/(4*x^2 + 12*x + 9) - 21/20*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2414,1,135,0,1.302970," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^4,x, algorithm=""maxima"")","\frac{47}{2000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{141}{200} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{15 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{47 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{50 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{47 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{50 \, {\left(2 \, x + 3\right)}}"," ",0,"47/2000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 141/200*sqrt(3*x^2 + 5*x + 2) - 13/15*(3*x^2 + 5*x + 2)^(3/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 47/50*(3*x^2 + 5*x + 2)^(3/2)/(4*x^2 + 12*x + 9) - 47/50*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2415,1,171,0,1.252543," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^5,x, algorithm=""maxima"")","\frac{153}{8000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{459}{800} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{20 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{4 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{5 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{153 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{200 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{153 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{200 \, {\left(2 \, x + 3\right)}}"," ",0,"153/8000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 459/800*sqrt(3*x^2 + 5*x + 2) - 13/20*(3*x^2 + 5*x + 2)^(3/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 4/5*(3*x^2 + 5*x + 2)^(3/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 153/200*(3*x^2 + 5*x + 2)^(3/2)/(4*x^2 + 12*x + 9) - 153/200*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2416,1,212,0,1.421829," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^6,x, algorithm=""maxima"")","\frac{3159}{200000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{9477}{20000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{25 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{339 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{500 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{87 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{125 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{3159 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{5000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{3159 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{5000 \, {\left(2 \, x + 3\right)}}"," ",0,"3159/200000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 9477/20000*sqrt(3*x^2 + 5*x + 2) - 13/25*(3*x^2 + 5*x + 2)^(3/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 339/500*(3*x^2 + 5*x + 2)^(3/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 87/125*(3*x^2 + 5*x + 2)^(3/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 3159/5000*(3*x^2 + 5*x + 2)^(3/2)/(4*x^2 + 12*x + 9) - 3159/5000*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2417,1,258,0,1.291685," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^7,x, algorithm=""maxima"")","\frac{26453}{2000000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{79359}{200000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{30 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{73 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{125 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{3113 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{5000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{2237 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{3750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{26453 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{50000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{26453 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{50000 \, {\left(2 \, x + 3\right)}}"," ",0,"26453/2000000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 79359/200000*sqrt(3*x^2 + 5*x + 2) - 13/30*(3*x^2 + 5*x + 2)^(3/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 73/125*(3*x^2 + 5*x + 2)^(3/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 3113/5000*(3*x^2 + 5*x + 2)^(3/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 2237/3750*(3*x^2 + 5*x + 2)^(3/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 26453/50000*(3*x^2 + 5*x + 2)^(3/2)/(4*x^2 + 12*x + 9) - 26453/50000*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2418,1,167,0,1.174867," ","integrate((5-x)*(3+2*x)^4*(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{16}{27} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x^{4} + \frac{11}{81} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x^{3} + \frac{6133}{486} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x^{2} + \frac{2317}{72} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{1498291}{58320} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{454969}{93312} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{2274845}{559872} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{454969}{746496} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{454969}{26873856} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{2274845}{4478976} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-16/27*(3*x^2 + 5*x + 2)^(5/2)*x^4 + 11/81*(3*x^2 + 5*x + 2)^(5/2)*x^3 + 6133/486*(3*x^2 + 5*x + 2)^(5/2)*x^2 + 2317/72*(3*x^2 + 5*x + 2)^(5/2)*x + 1498291/58320*(3*x^2 + 5*x + 2)^(5/2) + 454969/93312*(3*x^2 + 5*x + 2)^(3/2)*x + 2274845/559872*(3*x^2 + 5*x + 2)^(3/2) - 454969/746496*sqrt(3*x^2 + 5*x + 2)*x + 454969/26873856*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 2274845/4478976*sqrt(3*x^2 + 5*x + 2)","A",0
2419,1,150,0,1.339248," ","integrate((5-x)*(3+2*x)^3*(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x^{3} + \frac{79}{126} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x^{2} + \frac{1063}{168} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{130801}{15120} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{12277}{3456} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{61385}{20736} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{12277}{27648} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{12277}{995328} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{61385}{165888} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/3*(3*x^2 + 5*x + 2)^(5/2)*x^3 + 79/126*(3*x^2 + 5*x + 2)^(5/2)*x^2 + 1063/168*(3*x^2 + 5*x + 2)^(5/2)*x + 130801/15120*(3*x^2 + 5*x + 2)^(5/2) + 12277/3456*(3*x^2 + 5*x + 2)^(3/2)*x + 61385/20736*(3*x^2 + 5*x + 2)^(3/2) - 12277/27648*sqrt(3*x^2 + 5*x + 2)*x + 12277/995328*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 61385/165888*sqrt(3*x^2 + 5*x + 2)","A",0
2420,1,133,0,1.309839," ","integrate((5-x)*(3+2*x)^2*(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{4}{21} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x^{2} + \frac{43}{63} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{5017}{1890} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{1129}{432} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{5645}{2592} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{1129}{3456} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{1129}{124416} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{5645}{20736} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-4/21*(3*x^2 + 5*x + 2)^(5/2)*x^2 + 43/63*(3*x^2 + 5*x + 2)^(5/2)*x + 5017/1890*(3*x^2 + 5*x + 2)^(5/2) + 1129/432*(3*x^2 + 5*x + 2)^(3/2)*x + 5645/2592*(3*x^2 + 5*x + 2)^(3/2) - 1129/3456*sqrt(3*x^2 + 5*x + 2)*x + 1129/124416*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 5645/20736*sqrt(3*x^2 + 5*x + 2)","A",0
2421,1,116,0,1.347818," ","integrate((5-x)*(3+2*x)*(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{9} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{161}{270} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{839}{432} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{4195}{2592} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{839}{3456} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{839}{124416} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{4195}{20736} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/9*(3*x^2 + 5*x + 2)^(5/2)*x + 161/270*(3*x^2 + 5*x + 2)^(5/2) + 839/432*(3*x^2 + 5*x + 2)^(3/2)*x + 4195/2592*(3*x^2 + 5*x + 2)^(3/2) - 839/3456*sqrt(3*x^2 + 5*x + 2)*x + 839/124416*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 4195/20736*sqrt(3*x^2 + 5*x + 2)","A",0
2422,1,101,0,1.329624," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{15} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{35}{24} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{175}{144} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{35}{192} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{35}{6912} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{175}{1152} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/15*(3*x^2 + 5*x + 2)^(5/2) + 35/24*(3*x^2 + 5*x + 2)^(3/2)*x + 175/144*(3*x^2 + 5*x + 2)^(3/2) - 35/192*sqrt(3*x^2 + 5*x + 2)*x + 35/6912*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 175/1152*sqrt(3*x^2 + 5*x + 2)","A",0
2423,1,128,0,1.512588," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x),x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{47}{48} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{207}{64} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{2011}{768} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{65}{32} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{175}{128} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/8*(3*x^2 + 5*x + 2)^(3/2)*x + 47/48*(3*x^2 + 5*x + 2)^(3/2) - 207/64*sqrt(3*x^2 + 5*x + 2)*x - 2011/768*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 65/32*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 175/128*sqrt(3*x^2 + 5*x + 2)","A",0
2424,1,134,0,1.240440," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^2,x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{121}{16} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{3743}{576} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{161}{32} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{361}{96} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{4 \, {\left(2 \, x + 3\right)}}"," ",0,"-1/12*(3*x^2 + 5*x + 2)^(3/2) + 121/16*sqrt(3*x^2 + 5*x + 2)*x + 3743/576*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 161/32*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 361/96*sqrt(3*x^2 + 5*x + 2) - 13/4*(3*x^2 + 5*x + 2)^(3/2)/(2*x + 3)","A",0
2425,1,160,0,1.185616," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^3,x, algorithm=""maxima"")","\frac{39}{40} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{10 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{513}{80} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{343}{64} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{1329}{320} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{237}{80} \, \sqrt{3 \, x^{2} + 5 \, x + 2} + \frac{31 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{20 \, {\left(2 \, x + 3\right)}}"," ",0,"39/40*(3*x^2 + 5*x + 2)^(3/2) - 13/10*(3*x^2 + 5*x + 2)^(5/2)/(4*x^2 + 12*x + 9) - 513/80*sqrt(3*x^2 + 5*x + 2)*x - 343/64*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 1329/320*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 237/80*sqrt(3*x^2 + 5*x + 2) + 31/20*(3*x^2 + 5*x + 2)^(3/2)/(2*x + 3)","A",0
2426,1,191,0,1.358980," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^4,x, algorithm=""maxima"")","\frac{37}{200} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{15 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{37 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{150 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{363}{200} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{51}{32} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{1973}{1600} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{763}{800} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{79 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{75 \, {\left(2 \, x + 3\right)}}"," ",0,"37/200*(3*x^2 + 5*x + 2)^(3/2) - 13/15*(3*x^2 + 5*x + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 37/150*(3*x^2 + 5*x + 2)^(5/2)/(4*x^2 + 12*x + 9) + 363/200*sqrt(3*x^2 + 5*x + 2)*x + 51/32*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 1973/1600*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 763/800*sqrt(3*x^2 + 5*x + 2) - 79/75*(3*x^2 + 5*x + 2)^(3/2)/(2*x + 3)","A",0
2427,1,227,0,1.337040," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^5,x, algorithm=""maxima"")","\frac{1129}{4000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{20 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{34 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{75 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{1129 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{3000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{327}{2000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{3}{32} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{2359}{32000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{179}{16000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{911 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{3000 \, {\left(2 \, x + 3\right)}}"," ",0,"1129/4000*(3*x^2 + 5*x + 2)^(3/2) - 13/20*(3*x^2 + 5*x + 2)^(5/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 34/75*(3*x^2 + 5*x + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 1129/3000*(3*x^2 + 5*x + 2)^(5/2)/(4*x^2 + 12*x + 9) - 327/2000*sqrt(3*x^2 + 5*x + 2)*x - 3/32*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 2359/32000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 179/16000*sqrt(3*x^2 + 5*x + 2) - 911/3000*(3*x^2 + 5*x + 2)^(3/2)/(2*x + 3)","B",0
2428,1,241,0,1.286778," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^6,x, algorithm=""maxima"")","\frac{4371}{20000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{25 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{47 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{100 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{47 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{125 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{1457 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{5000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{423}{10000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{141}{160000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{2679}{80000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{1363 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{5000 \, {\left(2 \, x + 3\right)}}"," ",0,"4371/20000*(3*x^2 + 5*x + 2)^(3/2) - 13/25*(3*x^2 + 5*x + 2)^(5/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 47/100*(3*x^2 + 5*x + 2)^(5/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 47/125*(3*x^2 + 5*x + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 1457/5000*(3*x^2 + 5*x + 2)^(5/2)/(4*x^2 + 12*x + 9) - 423/10000*sqrt(3*x^2 + 5*x + 2)*x - 141/160000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 2679/80000*sqrt(3*x^2 + 5*x + 2) - 1363/5000*(3*x^2 + 5*x + 2)^(3/2)/(2*x + 3)","B",0
2429,1,287,0,1.201532," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^7,x, algorithm=""maxima"")","\frac{35371}{200000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{30 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{167 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{375 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{1141 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{3000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{1141 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{3750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{35371 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{150000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{3423}{100000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{1141}{1600000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{21679}{800000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{33089 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{150000 \, {\left(2 \, x + 3\right)}}"," ",0,"35371/200000*(3*x^2 + 5*x + 2)^(3/2) - 13/30*(3*x^2 + 5*x + 2)^(5/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 167/375*(3*x^2 + 5*x + 2)^(5/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 1141/3000*(3*x^2 + 5*x + 2)^(5/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 1141/3750*(3*x^2 + 5*x + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 35371/150000*(3*x^2 + 5*x + 2)^(5/2)/(4*x^2 + 12*x + 9) - 3423/100000*sqrt(3*x^2 + 5*x + 2)*x - 1141/1600000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 21679/800000*sqrt(3*x^2 + 5*x + 2) - 33089/150000*(3*x^2 + 5*x + 2)^(3/2)/(2*x + 3)","B",0
2430,1,338,0,1.302351," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^8,x, algorithm=""maxima"")","\frac{144553}{1000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{35 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{433 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{1050 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{4892 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{13125 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{4663 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{15000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{4663 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{18750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{144553 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{750000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{13989}{500000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{4663}{8000000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{88597}{4000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{135227 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{750000 \, {\left(2 \, x + 3\right)}}"," ",0,"144553/1000000*(3*x^2 + 5*x + 2)^(3/2) - 13/35*(3*x^2 + 5*x + 2)^(5/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 433/1050*(3*x^2 + 5*x + 2)^(5/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 4892/13125*(3*x^2 + 5*x + 2)^(5/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 4663/15000*(3*x^2 + 5*x + 2)^(5/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 4663/18750*(3*x^2 + 5*x + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 144553/750000*(3*x^2 + 5*x + 2)^(5/2)/(4*x^2 + 12*x + 9) - 13989/500000*sqrt(3*x^2 + 5*x + 2)*x - 4663/8000000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 88597/4000000*sqrt(3*x^2 + 5*x + 2) - 135227/750000*(3*x^2 + 5*x + 2)^(3/2)/(2*x + 3)","B",0
2431,1,394,0,1.306666," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^9,x, algorithm=""maxima"")","\frac{4771737}{40000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{40 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{19 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{50 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{717 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{2000 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{3879 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{12500 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{51309 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{200000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{51309 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{250000 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{1590579 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{10000000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{461781}{20000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{153927}{320000000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{2924613}{160000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{1487961 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}{10000000 \, {\left(2 \, x + 3\right)}}"," ",0,"4771737/40000000*(3*x^2 + 5*x + 2)^(3/2) - 13/40*(3*x^2 + 5*x + 2)^(5/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 19/50*(3*x^2 + 5*x + 2)^(5/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 717/2000*(3*x^2 + 5*x + 2)^(5/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 3879/12500*(3*x^2 + 5*x + 2)^(5/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 51309/200000*(3*x^2 + 5*x + 2)^(5/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 51309/250000*(3*x^2 + 5*x + 2)^(5/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 1590579/10000000*(3*x^2 + 5*x + 2)^(5/2)/(4*x^2 + 12*x + 9) - 461781/20000000*sqrt(3*x^2 + 5*x + 2)*x - 153927/320000000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 2924613/160000000*sqrt(3*x^2 + 5*x + 2) - 1487961/10000000*(3*x^2 + 5*x + 2)^(3/2)/(2*x + 3)","B",0
2432,1,196,0,1.315614," ","integrate((5-x)*(3+2*x)^4*(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{16}{33} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x^{4} + \frac{4}{55} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x^{3} + \frac{8762}{891} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x^{2} + \frac{2642401}{106920} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{5753773}{299376} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} + \frac{249299}{77760} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{249299}{93312} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{249299}{746496} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{1246495}{4478976} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{249299}{5971968} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{249299}{214990848} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{1246495}{35831808} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-16/33*(3*x^2 + 5*x + 2)^(7/2)*x^4 + 4/55*(3*x^2 + 5*x + 2)^(7/2)*x^3 + 8762/891*(3*x^2 + 5*x + 2)^(7/2)*x^2 + 2642401/106920*(3*x^2 + 5*x + 2)^(7/2)*x + 5753773/299376*(3*x^2 + 5*x + 2)^(7/2) + 249299/77760*(3*x^2 + 5*x + 2)^(5/2)*x + 249299/93312*(3*x^2 + 5*x + 2)^(5/2) - 249299/746496*(3*x^2 + 5*x + 2)^(3/2)*x - 1246495/4478976*(3*x^2 + 5*x + 2)^(3/2) + 249299/5971968*sqrt(3*x^2 + 5*x + 2)*x - 249299/214990848*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 1246495/35831808*sqrt(3*x^2 + 5*x + 2)","A",0
2433,1,179,0,1.204430," ","integrate((5-x)*(3+2*x)^3*(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{4}{15} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x^{3} + \frac{38}{81} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x^{2} + \frac{46453}{9720} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{173137}{27216} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} + \frac{182917}{77760} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{182917}{93312} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{182917}{746496} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{914585}{4478976} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{182917}{5971968} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{182917}{214990848} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{914585}{35831808} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-4/15*(3*x^2 + 5*x + 2)^(7/2)*x^3 + 38/81*(3*x^2 + 5*x + 2)^(7/2)*x^2 + 46453/9720*(3*x^2 + 5*x + 2)^(7/2)*x + 173137/27216*(3*x^2 + 5*x + 2)^(7/2) + 182917/77760*(3*x^2 + 5*x + 2)^(5/2)*x + 182917/93312*(3*x^2 + 5*x + 2)^(5/2) - 182917/746496*(3*x^2 + 5*x + 2)^(3/2)*x - 914585/4478976*(3*x^2 + 5*x + 2)^(3/2) + 182917/5971968*sqrt(3*x^2 + 5*x + 2)*x - 182917/214990848*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 914585/35831808*sqrt(3*x^2 + 5*x + 2)","A",0
2434,1,162,0,1.304017," ","integrate((5-x)*(3+2*x)^2*(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{4}{27} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x^{2} + \frac{163}{324} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{8699}{4536} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} + \frac{4507}{2592} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{22535}{15552} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{22535}{124416} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{112675}{746496} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{22535}{995328} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{22535}{35831808} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{112675}{5971968} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-4/27*(3*x^2 + 5*x + 2)^(7/2)*x^2 + 163/324*(3*x^2 + 5*x + 2)^(7/2)*x + 8699/4536*(3*x^2 + 5*x + 2)^(7/2) + 4507/2592*(3*x^2 + 5*x + 2)^(5/2)*x + 22535/15552*(3*x^2 + 5*x + 2)^(5/2) - 22535/124416*(3*x^2 + 5*x + 2)^(3/2)*x - 112675/746496*(3*x^2 + 5*x + 2)^(3/2) + 22535/995328*sqrt(3*x^2 + 5*x + 2)*x - 22535/35831808*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 112675/5971968*sqrt(3*x^2 + 5*x + 2)","A",0
2435,1,145,0,1.261530," ","integrate((5-x)*(3+2*x)*(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{71}{168} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} + \frac{373}{288} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{1865}{1728} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{1865}{13824} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{9325}{82944} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{1865}{110592} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{1865}{3981312} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{9325}{663552} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/12*(3*x^2 + 5*x + 2)^(7/2)*x + 71/168*(3*x^2 + 5*x + 2)^(7/2) + 373/288*(3*x^2 + 5*x + 2)^(5/2)*x + 1865/1728*(3*x^2 + 5*x + 2)^(5/2) - 1865/13824*(3*x^2 + 5*x + 2)^(3/2)*x - 9325/82944*(3*x^2 + 5*x + 2)^(3/2) + 1865/110592*sqrt(3*x^2 + 5*x + 2)*x - 1865/3981312*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 9325/663552*sqrt(3*x^2 + 5*x + 2)","A",0
2436,1,130,0,1.214927," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{21} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} + \frac{35}{36} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{175}{216} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{175}{1728} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{875}{10368} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{175}{13824} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{175}{497664} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{875}{82944} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/21*(3*x^2 + 5*x + 2)^(7/2) + 35/36*(3*x^2 + 5*x + 2)^(5/2)*x + 175/216*(3*x^2 + 5*x + 2)^(5/2) - 175/1728*(3*x^2 + 5*x + 2)^(3/2)*x - 875/10368*(3*x^2 + 5*x + 2)^(3/2) + 175/13824*sqrt(3*x^2 + 5*x + 2)*x - 175/497664*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 875/82944*sqrt(3*x^2 + 5*x + 2)","A",0
2437,1,157,0,1.227183," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x),x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{209}{360} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{931}{576} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{25}{3456} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{17789}{4608} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{543811}{165888} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{325}{128} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{51455}{27648} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/12*(3*x^2 + 5*x + 2)^(5/2)*x + 209/360*(3*x^2 + 5*x + 2)^(5/2) - 931/576*(3*x^2 + 5*x + 2)^(3/2)*x + 25/3456*(3*x^2 + 5*x + 2)^(3/2) - 17789/4608*sqrt(3*x^2 + 5*x + 2)*x - 543811/165888*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 325/128*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 51455/27648*sqrt(3*x^2 + 5*x + 2)","A",0
2438,1,163,0,1.460655," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^2,x, algorithm=""maxima"")","-\frac{1}{20} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{199}{32} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{65}{192} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{4 \, {\left(2 \, x + 3\right)}} + \frac{4041}{256} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{41053}{3072} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{1325}{128} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{3865}{512} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/20*(3*x^2 + 5*x + 2)^(5/2) + 199/32*(3*x^2 + 5*x + 2)^(3/2)*x - 65/192*(3*x^2 + 5*x + 2)^(3/2) - 13/4*(3*x^2 + 5*x + 2)^(5/2)/(2*x + 3) + 4041/256*sqrt(3*x^2 + 5*x + 2)*x + 41053/3072*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 1325/128*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 3865/512*sqrt(3*x^2 + 5*x + 2)","A",0
2439,1,189,0,1.325629," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^3,x, algorithm=""maxima"")","\frac{39}{40} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{10 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{327}{32} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{83}{192} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{83 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{20 \, {\left(2 \, x + 3\right)}} - \frac{6545}{256} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{199615}{9216} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{4295}{256} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{18815}{1536} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"39/40*(3*x^2 + 5*x + 2)^(5/2) - 13/10*(3*x^2 + 5*x + 2)^(7/2)/(4*x^2 + 12*x + 9) - 327/32*(3*x^2 + 5*x + 2)^(3/2)*x + 83/192*(3*x^2 + 5*x + 2)^(3/2) + 83/20*(3*x^2 + 5*x + 2)^(5/2)/(2*x + 3) - 6545/256*sqrt(3*x^2 + 5*x + 2)*x - 199615/9216*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 4295/256*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 18815/1536*sqrt(3*x^2 + 5*x + 2)","A",0
2440,1,220,0,1.363074," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^4,x, algorithm=""maxima"")","-\frac{67}{200} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{15 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} + \frac{67 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{150 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{329}{40} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{197}{480} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{197 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{50 \, {\left(2 \, x + 3\right)}} + \frac{1329}{64} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{13505}{768} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{3487}{256} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{159}{16} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-67/200*(3*x^2 + 5*x + 2)^(5/2) - 13/15*(3*x^2 + 5*x + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) + 67/150*(3*x^2 + 5*x + 2)^(7/2)/(4*x^2 + 12*x + 9) + 329/40*(3*x^2 + 5*x + 2)^(3/2)*x - 197/480*(3*x^2 + 5*x + 2)^(3/2) - 197/50*(3*x^2 + 5*x + 2)^(5/2)/(2*x + 3) + 1329/64*sqrt(3*x^2 + 5*x + 2)*x + 13505/768*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 3487/256*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 159/16*sqrt(3*x^2 + 5*x + 2)","A",0
2441,1,256,0,1.263134," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^5,x, algorithm=""maxima"")","\frac{1627}{4000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{20 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{8 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{75 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{1627 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{3000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{1387}{400} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{1307}{9600} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{1307 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{1000 \, {\left(2 \, x + 3\right)}} - \frac{1383}{160} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{1875}{256} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{29047}{5120} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{10607}{2560} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"1627/4000*(3*x^2 + 5*x + 2)^(5/2) - 13/20*(3*x^2 + 5*x + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 8/75*(3*x^2 + 5*x + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 1627/3000*(3*x^2 + 5*x + 2)^(7/2)/(4*x^2 + 12*x + 9) - 1387/400*(3*x^2 + 5*x + 2)^(3/2)*x + 1307/9600*(3*x^2 + 5*x + 2)^(3/2) + 1307/1000*(3*x^2 + 5*x + 2)^(5/2)/(2*x + 3) - 1383/160*sqrt(3*x^2 + 5*x + 2)*x - 1875/256*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 29047/5120*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 10607/2560*sqrt(3*x^2 + 5*x + 2)","A",0
2442,1,297,0,1.526382," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^6,x, algorithm=""maxima"")","\frac{9349}{100000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{25 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{131 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{500 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{521 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{1875 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{9349 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{75000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{6281}{10000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{11491}{240000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{11491 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{25000 \, {\left(2 \, x + 3\right)}} + \frac{13083}{8000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{177}{128} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{137111}{128000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{49891}{64000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"9349/100000*(3*x^2 + 5*x + 2)^(5/2) - 13/25*(3*x^2 + 5*x + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 131/500*(3*x^2 + 5*x + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 521/1875*(3*x^2 + 5*x + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 9349/75000*(3*x^2 + 5*x + 2)^(7/2)/(4*x^2 + 12*x + 9) + 6281/10000*(3*x^2 + 5*x + 2)^(3/2)*x - 11491/240000*(3*x^2 + 5*x + 2)^(3/2) - 11491/25000*(3*x^2 + 5*x + 2)^(5/2)/(2*x + 3) + 13083/8000*sqrt(3*x^2 + 5*x + 2)*x + 177/128*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 137111/128000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 49891/64000*sqrt(3*x^2 + 5*x + 2)","B",0
2443,1,343,0,1.323817," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^7,x, algorithm=""maxima"")","\frac{22271}{200000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{30 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{23 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{75 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{249 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{1000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{709 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{3750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{22271 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{150000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{1001}{20000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{6089}{480000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{6089 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{50000 \, {\left(2 \, x + 3\right)}} - \frac{1293}{16000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{9}{128} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{13931}{256000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{5311}{128000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"22271/200000*(3*x^2 + 5*x + 2)^(5/2) - 13/30*(3*x^2 + 5*x + 2)^(7/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 23/75*(3*x^2 + 5*x + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 249/1000*(3*x^2 + 5*x + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 709/3750*(3*x^2 + 5*x + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 22271/150000*(3*x^2 + 5*x + 2)^(7/2)/(4*x^2 + 12*x + 9) - 1001/20000*(3*x^2 + 5*x + 2)^(3/2)*x - 6089/480000*(3*x^2 + 5*x + 2)^(3/2) - 6089/50000*(3*x^2 + 5*x + 2)^(5/2)/(2*x + 3) - 1293/16000*sqrt(3*x^2 + 5*x + 2)*x - 9/128*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 13931/256000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 5311/128000*sqrt(3*x^2 + 5*x + 2)","B",0
2444,1,367,0,1.477218," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^8,x, algorithm=""maxima"")","\frac{87373}{1000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{35 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{47 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{150 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{94 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{375 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{987 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{5000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{2867 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{18750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{87373 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{750000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{1363}{100000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{27307}{2400000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{27307 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{250000 \, {\left(2 \, x + 3\right)}} + \frac{141}{80000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{47}{1280000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{893}{640000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"87373/1000000*(3*x^2 + 5*x + 2)^(5/2) - 13/35*(3*x^2 + 5*x + 2)^(7/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 47/150*(3*x^2 + 5*x + 2)^(7/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 94/375*(3*x^2 + 5*x + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 987/5000*(3*x^2 + 5*x + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 2867/18750*(3*x^2 + 5*x + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 87373/750000*(3*x^2 + 5*x + 2)^(7/2)/(4*x^2 + 12*x + 9) - 1363/100000*(3*x^2 + 5*x + 2)^(3/2)*x - 27307/2400000*(3*x^2 + 5*x + 2)^(3/2) - 27307/250000*(3*x^2 + 5*x + 2)^(5/2)/(2*x + 3) + 141/80000*sqrt(3*x^2 + 5*x + 2)*x + 47/1280000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 893/640000*sqrt(3*x^2 + 5*x + 2)","B",0
2445,1,423,0,1.627407," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^9,x, algorithm=""maxima"")","\frac{2820103}{40000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{40 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{107 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{350 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{1517 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{6000 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{1517 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{7500 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{31857 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{200000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{92537 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{750000 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{2820103 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{30000000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{43993}{4000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{881377}{96000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{881377 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{10000000 \, {\left(2 \, x + 3\right)}} + \frac{4551}{3200000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{1517}{51200000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{28823}{25600000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"2820103/40000000*(3*x^2 + 5*x + 2)^(5/2) - 13/40*(3*x^2 + 5*x + 2)^(7/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 107/350*(3*x^2 + 5*x + 2)^(7/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 1517/6000*(3*x^2 + 5*x + 2)^(7/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 1517/7500*(3*x^2 + 5*x + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 31857/200000*(3*x^2 + 5*x + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 92537/750000*(3*x^2 + 5*x + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 2820103/30000000*(3*x^2 + 5*x + 2)^(7/2)/(4*x^2 + 12*x + 9) - 43993/4000000*(3*x^2 + 5*x + 2)^(3/2)*x - 881377/96000000*(3*x^2 + 5*x + 2)^(3/2) - 881377/10000000*(3*x^2 + 5*x + 2)^(5/2)/(2*x + 3) + 4551/3200000*sqrt(3*x^2 + 5*x + 2)*x + 1517/51200000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 28823/25600000*sqrt(3*x^2 + 5*x + 2)","B",0
2446,1,484,0,1.396303," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^10,x, algorithm=""maxima"")","\frac{11464453}{200000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{45 \, {\left(512 \, x^{9} + 6912 \, x^{8} + 41472 \, x^{7} + 145152 \, x^{6} + 326592 \, x^{5} + 489888 \, x^{4} + 489888 \, x^{3} + 314928 \, x^{2} + 118098 \, x + 19683\right)}} - \frac{527 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{1800 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{1321 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{5250 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{6167 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{30000 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{6167 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{37500 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{129507 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{1000000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{376187 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{3750000 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{11464453 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{150000000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{178843}{20000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{3583027}{480000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{3583027 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}{50000000 \, {\left(2 \, x + 3\right)}} + \frac{18501}{16000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{6167}{256000000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{117173}{128000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"11464453/200000000*(3*x^2 + 5*x + 2)^(5/2) - 13/45*(3*x^2 + 5*x + 2)^(7/2)/(512*x^9 + 6912*x^8 + 41472*x^7 + 145152*x^6 + 326592*x^5 + 489888*x^4 + 489888*x^3 + 314928*x^2 + 118098*x + 19683) - 527/1800*(3*x^2 + 5*x + 2)^(7/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 1321/5250*(3*x^2 + 5*x + 2)^(7/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 6167/30000*(3*x^2 + 5*x + 2)^(7/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 6167/37500*(3*x^2 + 5*x + 2)^(7/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 129507/1000000*(3*x^2 + 5*x + 2)^(7/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 376187/3750000*(3*x^2 + 5*x + 2)^(7/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 11464453/150000000*(3*x^2 + 5*x + 2)^(7/2)/(4*x^2 + 12*x + 9) - 178843/20000000*(3*x^2 + 5*x + 2)^(3/2)*x - 3583027/480000000*(3*x^2 + 5*x + 2)^(3/2) - 3583027/50000000*(3*x^2 + 5*x + 2)^(5/2)/(2*x + 3) + 18501/16000000*sqrt(3*x^2 + 5*x + 2)*x + 6167/256000000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 117173/128000000*sqrt(3*x^2 + 5*x + 2)","B",0
2447,1,225,0,1.341701," ","integrate((5-x)*(3+2*x)^4*(3*x^2+5*x+2)^(7/2),x, algorithm=""maxima"")","-\frac{16}{39} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x^{4} + \frac{14}{351} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x^{3} + \frac{2827}{351} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x^{2} + \frac{84521}{4212} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x + \frac{3495529}{227448} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} + \frac{74167}{31104} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{370835}{186624} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{519169}{2239488} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{2595845}{13436928} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{2595845}{107495424} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{12979225}{644972544} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{2595845}{859963392} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{2595845}{30958682112} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{12979225}{5159780352} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-16/39*(3*x^2 + 5*x + 2)^(9/2)*x^4 + 14/351*(3*x^2 + 5*x + 2)^(9/2)*x^3 + 2827/351*(3*x^2 + 5*x + 2)^(9/2)*x^2 + 84521/4212*(3*x^2 + 5*x + 2)^(9/2)*x + 3495529/227448*(3*x^2 + 5*x + 2)^(9/2) + 74167/31104*(3*x^2 + 5*x + 2)^(7/2)*x + 370835/186624*(3*x^2 + 5*x + 2)^(7/2) - 519169/2239488*(3*x^2 + 5*x + 2)^(5/2)*x - 2595845/13436928*(3*x^2 + 5*x + 2)^(5/2) + 2595845/107495424*(3*x^2 + 5*x + 2)^(3/2)*x + 12979225/644972544*(3*x^2 + 5*x + 2)^(3/2) - 2595845/859963392*sqrt(3*x^2 + 5*x + 2)*x + 2595845/30958682112*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 12979225/5159780352*sqrt(3*x^2 + 5*x + 2)","A",0
2448,1,208,0,1.257324," ","integrate((5-x)*(3+2*x)^3*(3*x^2+5*x+2)^(7/2),x, algorithm=""maxima"")","-\frac{2}{9} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x^{3} + \frac{37}{99} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x^{2} + \frac{22807}{5940} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x + \frac{322939}{64152} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} + \frac{91087}{51840} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{91087}{62208} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{637609}{3732480} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{637609}{4478976} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{637609}{35831808} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{3188045}{214990848} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{637609}{286654464} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{637609}{10319560704} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{3188045}{1719926784} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-2/9*(3*x^2 + 5*x + 2)^(9/2)*x^3 + 37/99*(3*x^2 + 5*x + 2)^(9/2)*x^2 + 22807/5940*(3*x^2 + 5*x + 2)^(9/2)*x + 322939/64152*(3*x^2 + 5*x + 2)^(9/2) + 91087/51840*(3*x^2 + 5*x + 2)^(7/2)*x + 91087/62208*(3*x^2 + 5*x + 2)^(7/2) - 637609/3732480*(3*x^2 + 5*x + 2)^(5/2)*x - 637609/4478976*(3*x^2 + 5*x + 2)^(5/2) + 637609/35831808*(3*x^2 + 5*x + 2)^(3/2)*x + 3188045/214990848*(3*x^2 + 5*x + 2)^(3/2) - 637609/286654464*sqrt(3*x^2 + 5*x + 2)*x + 637609/10319560704*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 3188045/1719926784*sqrt(3*x^2 + 5*x + 2)","A",0
2449,1,191,0,1.310796," ","integrate((5-x)*(3+2*x)^2*(3*x^2+5*x+2)^(7/2),x, algorithm=""maxima"")","-\frac{4}{33} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x^{2} + \frac{197}{495} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x + \frac{8027}{5346} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} + \frac{5627}{4320} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{5627}{5184} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{39389}{311040} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{39389}{373248} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{39389}{2985984} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{196945}{17915904} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{39389}{23887872} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{39389}{859963392} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{196945}{143327232} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-4/33*(3*x^2 + 5*x + 2)^(9/2)*x^2 + 197/495*(3*x^2 + 5*x + 2)^(9/2)*x + 8027/5346*(3*x^2 + 5*x + 2)^(9/2) + 5627/4320*(3*x^2 + 5*x + 2)^(7/2)*x + 5627/5184*(3*x^2 + 5*x + 2)^(7/2) - 39389/311040*(3*x^2 + 5*x + 2)^(5/2)*x - 39389/373248*(3*x^2 + 5*x + 2)^(5/2) + 39389/2985984*(3*x^2 + 5*x + 2)^(3/2)*x + 196945/17915904*(3*x^2 + 5*x + 2)^(3/2) - 39389/23887872*sqrt(3*x^2 + 5*x + 2)*x + 39389/859963392*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 196945/143327232*sqrt(3*x^2 + 5*x + 2)","A",0
2450,1,174,0,1.232604," ","integrate((5-x)*(3+2*x)*(3*x^2+5*x+2)^(7/2),x, algorithm=""maxima"")","-\frac{1}{15} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} x + \frac{53}{162} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} + \frac{1399}{1440} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{1399}{1728} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{9793}{103680} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{9793}{124416} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{9793}{995328} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{48965}{5971968} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{9793}{7962624} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{9793}{286654464} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{48965}{47775744} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/15*(3*x^2 + 5*x + 2)^(9/2)*x + 53/162*(3*x^2 + 5*x + 2)^(9/2) + 1399/1440*(3*x^2 + 5*x + 2)^(7/2)*x + 1399/1728*(3*x^2 + 5*x + 2)^(7/2) - 9793/103680*(3*x^2 + 5*x + 2)^(5/2)*x - 9793/124416*(3*x^2 + 5*x + 2)^(5/2) + 9793/995328*(3*x^2 + 5*x + 2)^(3/2)*x + 48965/5971968*(3*x^2 + 5*x + 2)^(3/2) - 9793/7962624*sqrt(3*x^2 + 5*x + 2)*x + 9793/286654464*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 48965/47775744*sqrt(3*x^2 + 5*x + 2)","A",0
2451,1,159,0,1.389655," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2),x, algorithm=""maxima"")","-\frac{1}{27} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}} + \frac{35}{48} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{175}{288} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{245}{3456} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{1225}{20736} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{1225}{165888} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{6125}{995328} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{1225}{1327104} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{1225}{47775744} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{6125}{7962624} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/27*(3*x^2 + 5*x + 2)^(9/2) + 35/48*(3*x^2 + 5*x + 2)^(7/2)*x + 175/288*(3*x^2 + 5*x + 2)^(7/2) - 245/3456*(3*x^2 + 5*x + 2)^(5/2)*x - 1225/20736*(3*x^2 + 5*x + 2)^(5/2) + 1225/165888*(3*x^2 + 5*x + 2)^(3/2)*x + 6125/995328*(3*x^2 + 5*x + 2)^(3/2) - 1225/1327104*sqrt(3*x^2 + 5*x + 2)*x + 1225/47775744*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 6125/7962624*sqrt(3*x^2 + 5*x + 2)","A",0
2452,1,186,0,1.312854," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x),x, algorithm=""maxima"")","-\frac{1}{16} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} x + \frac{277}{672} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{1241}{1152} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{589}{6912} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{106115}{55296} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{31025}{331776} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{2140285}{442368} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{65251715}{15925248} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{1625}{512} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{6146575}{2654208} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/16*(3*x^2 + 5*x + 2)^(7/2)*x + 277/672*(3*x^2 + 5*x + 2)^(7/2) - 1241/1152*(3*x^2 + 5*x + 2)^(5/2)*x - 589/6912*(3*x^2 + 5*x + 2)^(5/2) - 106115/55296*(3*x^2 + 5*x + 2)^(3/2)*x + 31025/331776*(3*x^2 + 5*x + 2)^(3/2) - 2140285/442368*sqrt(3*x^2 + 5*x + 2)*x - 65251715/15925248*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 1625/512*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 6146575/2654208*sqrt(3*x^2 + 5*x + 2)","A",0
2453,1,192,0,1.307755," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^2,x, algorithm=""maxima"")","-\frac{1}{28} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} + \frac{277}{48} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{283}{1440} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{4 \, {\left(2 \, x + 3\right)}} + \frac{25183}{2304} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{6925}{13824} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{506177}{18432} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{15434623}{663552} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{9225}{512} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{1454315}{110592} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/28*(3*x^2 + 5*x + 2)^(7/2) + 277/48*(3*x^2 + 5*x + 2)^(5/2)*x + 283/1440*(3*x^2 + 5*x + 2)^(5/2) - 13/4*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) + 25183/2304*(3*x^2 + 5*x + 2)^(3/2)*x - 6925/13824*(3*x^2 + 5*x + 2)^(3/2) + 506177/18432*sqrt(3*x^2 + 5*x + 2)*x + 15434623/663552*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 9225/512*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 1454315/110592*sqrt(3*x^2 + 5*x + 2)","A",0
2454,1,218,0,1.140211," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^3,x, algorithm=""maxima"")","\frac{39}{40} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{10 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{1127}{80} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{7}{12} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{27 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{4 \, {\left(2 \, x + 3\right)}} - \frac{20293}{768} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{5635}{4608} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{408107}{6144} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{12443893}{221184} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{44625}{1024} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{1172465}{36864} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"39/40*(3*x^2 + 5*x + 2)^(7/2) - 13/10*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) - 1127/80*(3*x^2 + 5*x + 2)^(5/2)*x - 7/12*(3*x^2 + 5*x + 2)^(5/2) + 27/4*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) - 20293/768*(3*x^2 + 5*x + 2)^(3/2)*x + 5635/4608*(3*x^2 + 5*x + 2)^(3/2) - 408107/6144*sqrt(3*x^2 + 5*x + 2)*x - 12443893/221184*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 44625/1024*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 1172465/36864*sqrt(3*x^2 + 5*x + 2)","A",0
2455,1,249,0,1.249136," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^4,x, algorithm=""maxima"")","-\frac{171}{200} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{15 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} + \frac{57 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{50 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{3759}{200} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{581}{800} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{48 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{5 \, {\left(2 \, x + 3\right)}} + \frac{4529}{128} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{1253}{768} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{91063}{1024} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{2776697}{36864} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{59745}{1024} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{261625}{6144} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-171/200*(3*x^2 + 5*x + 2)^(7/2) - 13/15*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) + 57/50*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) + 3759/200*(3*x^2 + 5*x + 2)^(5/2)*x + 581/800*(3*x^2 + 5*x + 2)^(5/2) - 48/5*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) + 4529/128*(3*x^2 + 5*x + 2)^(3/2)*x - 1253/768*(3*x^2 + 5*x + 2)^(3/2) + 91063/1024*sqrt(3*x^2 + 5*x + 2)*x + 2776697/36864*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 59745/1024*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 261625/6144*sqrt(3*x^2 + 5*x + 2)","A",0
2456,1,285,0,1.183452," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^5,x, algorithm=""maxima"")","\frac{3789}{4000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{20 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} + \frac{6 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{25 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{1263 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{1000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{30303}{2000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{9849}{16000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{1479 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{200 \, {\left(2 \, x + 3\right)}} - \frac{18207}{640} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{3367}{2560} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{73227}{1024} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{744275}{12288} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{192171}{4096} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{35063}{1024} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"3789/4000*(3*x^2 + 5*x + 2)^(7/2) - 13/20*(3*x^2 + 5*x + 2)^(9/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) + 6/25*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 1263/1000*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) - 30303/2000*(3*x^2 + 5*x + 2)^(5/2)*x - 9849/16000*(3*x^2 + 5*x + 2)^(5/2) + 1479/200*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) - 18207/640*(3*x^2 + 5*x + 2)^(3/2)*x + 3367/2560*(3*x^2 + 5*x + 2)^(3/2) - 73227/1024*sqrt(3*x^2 + 5*x + 2)*x - 744275/12288*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 192171/4096*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 35063/1024*sqrt(3*x^2 + 5*x + 2)","A",0
2457,1,326,0,1.289744," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^6,x, algorithm=""maxima"")","-\frac{30069}{100000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{25 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{27 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{500 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{251 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{625 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} + \frac{10023 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{25000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{368613}{50000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{112329}{400000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{19059 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{5000 \, {\left(2 \, x + 3\right)}} + \frac{111111}{8000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{40957}{64000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{111699}{3200} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{30275}{1024} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{2345091}{102400} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{855771}{51200} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-30069/100000*(3*x^2 + 5*x + 2)^(7/2) - 13/25*(3*x^2 + 5*x + 2)^(9/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 27/500*(3*x^2 + 5*x + 2)^(9/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 251/625*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) + 10023/25000*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) + 368613/50000*(3*x^2 + 5*x + 2)^(5/2)*x + 112329/400000*(3*x^2 + 5*x + 2)^(5/2) - 19059/5000*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) + 111111/8000*(3*x^2 + 5*x + 2)^(3/2)*x - 40957/64000*(3*x^2 + 5*x + 2)^(3/2) + 111699/3200*sqrt(3*x^2 + 5*x + 2)*x + 30275/1024*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 2345091/102400*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 855771/51200*sqrt(3*x^2 + 5*x + 2)","B",0
2458,1,372,0,1.347530," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^7,x, algorithm=""maxima"")","\frac{191079}{1000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{30 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{21 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{125 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{1143 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{5000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{459 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{6250 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{63693 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{250000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{1048383}{500000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{368739}{4000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} + \frac{47169 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{50000 \, {\left(2 \, x + 3\right)}} - \frac{313551}{80000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{116487}{640000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{630693}{64000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{8547}{1024} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{6620481}{1024000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{2415861}{512000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"191079/1000000*(3*x^2 + 5*x + 2)^(7/2) - 13/30*(3*x^2 + 5*x + 2)^(9/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 21/125*(3*x^2 + 5*x + 2)^(9/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 1143/5000*(3*x^2 + 5*x + 2)^(9/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 459/6250*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 63693/250000*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) - 1048383/500000*(3*x^2 + 5*x + 2)^(5/2)*x - 368739/4000000*(3*x^2 + 5*x + 2)^(5/2) + 47169/50000*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) - 313551/80000*(3*x^2 + 5*x + 2)^(3/2)*x + 116487/640000*(3*x^2 + 5*x + 2)^(3/2) - 630693/64000*sqrt(3*x^2 + 5*x + 2)*x - 8547/1024*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 6620481/1024000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 2415861/512000*sqrt(3*x^2 + 5*x + 2)","B",0
2459,1,423,0,1.627101," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^8,x, algorithm=""maxima"")","\frac{45801}{1000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{35 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{14 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{24 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{125 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{4719 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{35000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{5147 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{43750 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{15267 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{250000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} + \frac{142623}{500000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x + \frac{16659}{4000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{78423 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{350000 \, {\left(2 \, x + 3\right)}} + \frac{44331}{80000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x - \frac{15847}{640000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} + \frac{88983}{64000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{603}{512} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) + \frac{934161}{1024000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{340941}{512000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"45801/1000000*(3*x^2 + 5*x + 2)^(7/2) - 13/35*(3*x^2 + 5*x + 2)^(9/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 3/14*(3*x^2 + 5*x + 2)^(9/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 24/125*(3*x^2 + 5*x + 2)^(9/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 4719/35000*(3*x^2 + 5*x + 2)^(9/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 5147/43750*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 15267/250000*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) + 142623/500000*(3*x^2 + 5*x + 2)^(5/2)*x + 16659/4000000*(3*x^2 + 5*x + 2)^(5/2) - 78423/350000*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) + 44331/80000*(3*x^2 + 5*x + 2)^(3/2)*x - 15847/640000*(3*x^2 + 5*x + 2)^(3/2) + 88983/64000*sqrt(3*x^2 + 5*x + 2)*x + 603/512*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) + 934161/1024000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 340941/512000*sqrt(3*x^2 + 5*x + 2)","B",0
2460,1,479,0,1.643473," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^9,x, algorithm=""maxima"")","\frac{1993149}{40000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{40 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{81 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{350 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{523 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{2800 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{363 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{2500 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{158331 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{1400000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{150503 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{1750000 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{664383 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{10000000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{406773}{20000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{1038609}{160000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{767427 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{14000000 \, {\left(2 \, x + 3\right)}} - \frac{76881}{3200000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{45197}{25600000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{159633}{2560000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{27}{512} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{1673211}{40960000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{608991}{20480000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"1993149/40000000*(3*x^2 + 5*x + 2)^(7/2) - 13/40*(3*x^2 + 5*x + 2)^(9/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 81/350*(3*x^2 + 5*x + 2)^(9/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 523/2800*(3*x^2 + 5*x + 2)^(9/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 363/2500*(3*x^2 + 5*x + 2)^(9/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 158331/1400000*(3*x^2 + 5*x + 2)^(9/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 150503/1750000*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 664383/10000000*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) - 406773/20000000*(3*x^2 + 5*x + 2)^(5/2)*x - 1038609/160000000*(3*x^2 + 5*x + 2)^(5/2) - 767427/14000000*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) - 76881/3200000*(3*x^2 + 5*x + 2)^(3/2)*x + 45197/25600000*(3*x^2 + 5*x + 2)^(3/2) - 159633/2560000*sqrt(3*x^2 + 5*x + 2)*x - 27/512*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 1673211/40960000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 608991/20480000*sqrt(3*x^2 + 5*x + 2)","B",0
2461,1,513,0,1.400508," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^10,x, algorithm=""maxima"")","\frac{7863711}{200000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{45 \, {\left(512 \, x^{9} + 6912 \, x^{8} + 41472 \, x^{7} + 145152 \, x^{6} + 326592 \, x^{5} + 489888 \, x^{4} + 489888 \, x^{3} + 314928 \, x^{2} + 118098 \, x + 19683\right)}} - \frac{47 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{200 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{47 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{250 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{893 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{6000 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{1457 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{12500 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{90287 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{1000000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{259393 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{3750000 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{2621237 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{50000000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{573447}{100000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{3822651}{800000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{491479 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{10000000 \, {\left(2 \, x + 3\right)}} + \frac{9541}{16000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{191149}{384000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{987}{12800000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{329}{204800000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{6251}{102400000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"7863711/200000000*(3*x^2 + 5*x + 2)^(7/2) - 13/45*(3*x^2 + 5*x + 2)^(9/2)/(512*x^9 + 6912*x^8 + 41472*x^7 + 145152*x^6 + 326592*x^5 + 489888*x^4 + 489888*x^3 + 314928*x^2 + 118098*x + 19683) - 47/200*(3*x^2 + 5*x + 2)^(9/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 47/250*(3*x^2 + 5*x + 2)^(9/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 893/6000*(3*x^2 + 5*x + 2)^(9/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 1457/12500*(3*x^2 + 5*x + 2)^(9/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 90287/1000000*(3*x^2 + 5*x + 2)^(9/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 259393/3750000*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 2621237/50000000*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) - 573447/100000000*(3*x^2 + 5*x + 2)^(5/2)*x - 3822651/800000000*(3*x^2 + 5*x + 2)^(5/2) - 491479/10000000*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) + 9541/16000000*(3*x^2 + 5*x + 2)^(3/2)*x + 191149/384000000*(3*x^2 + 5*x + 2)^(3/2) - 987/12800000*sqrt(3*x^2 + 5*x + 2)*x - 329/204800000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 6251/102400000*sqrt(3*x^2 + 5*x + 2)","B",0
2462,1,579,0,1.501689," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^11,x, algorithm=""maxima"")","\frac{316723509}{10000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{50 \, {\left(1024 \, x^{10} + 15360 \, x^{9} + 103680 \, x^{8} + 414720 \, x^{7} + 1088640 \, x^{6} + 1959552 \, x^{5} + 2449440 \, x^{4} + 2099520 \, x^{3} + 1180980 \, x^{2} + 393660 \, x + 59049\right)}} - \frac{29 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{125 \, {\left(512 \, x^{9} + 6912 \, x^{8} + 41472 \, x^{7} + 145152 \, x^{6} + 326592 \, x^{5} + 489888 \, x^{4} + 489888 \, x^{3} + 314928 \, x^{2} + 118098 \, x + 19683\right)}} - \frac{1893 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{10000 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{1893 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{12500 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{11989 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{100000 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{58683 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{625000 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{3636453 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{50000000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{3482489 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{62500000 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{105574503 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{2500000000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{23096493}{5000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{153963369}{40000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{19795101 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{500000000 \, {\left(2 \, x + 3\right)}} + \frac{384279}{800000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{2566277}{6400000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{39753}{640000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{13251}{10240000000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{251769}{5120000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"316723509/10000000000*(3*x^2 + 5*x + 2)^(7/2) - 13/50*(3*x^2 + 5*x + 2)^(9/2)/(1024*x^10 + 15360*x^9 + 103680*x^8 + 414720*x^7 + 1088640*x^6 + 1959552*x^5 + 2449440*x^4 + 2099520*x^3 + 1180980*x^2 + 393660*x + 59049) - 29/125*(3*x^2 + 5*x + 2)^(9/2)/(512*x^9 + 6912*x^8 + 41472*x^7 + 145152*x^6 + 326592*x^5 + 489888*x^4 + 489888*x^3 + 314928*x^2 + 118098*x + 19683) - 1893/10000*(3*x^2 + 5*x + 2)^(9/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 1893/12500*(3*x^2 + 5*x + 2)^(9/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 11989/100000*(3*x^2 + 5*x + 2)^(9/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 58683/625000*(3*x^2 + 5*x + 2)^(9/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 3636453/50000000*(3*x^2 + 5*x + 2)^(9/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 3482489/62500000*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 105574503/2500000000*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) - 23096493/5000000000*(3*x^2 + 5*x + 2)^(5/2)*x - 153963369/40000000000*(3*x^2 + 5*x + 2)^(5/2) - 19795101/500000000*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) + 384279/800000000*(3*x^2 + 5*x + 2)^(3/2)*x + 2566277/6400000000*(3*x^2 + 5*x + 2)^(3/2) - 39753/640000000*sqrt(3*x^2 + 5*x + 2)*x - 13251/10240000000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 251769/5120000000*sqrt(3*x^2 + 5*x + 2)","B",0
2463,1,650,0,1.420919," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^12,x, algorithm=""maxima"")","\frac{1283458023}{50000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{55 \, {\left(2048 \, x^{11} + 33792 \, x^{10} + 253440 \, x^{9} + 1140480 \, x^{8} + 3421440 \, x^{7} + 7185024 \, x^{6} + 10777536 \, x^{5} + 11547360 \, x^{4} + 8660520 \, x^{3} + 4330260 \, x^{2} + 1299078 \, x + 177147\right)}} - \frac{621 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{2750 \, {\left(1024 \, x^{10} + 15360 \, x^{9} + 103680 \, x^{8} + 414720 \, x^{7} + 1088640 \, x^{6} + 1959552 \, x^{5} + 2449440 \, x^{4} + 2099520 \, x^{3} + 1180980 \, x^{2} + 393660 \, x + 59049\right)}} - \frac{3904 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{20625 \, {\left(512 \, x^{9} + 6912 \, x^{8} + 41472 \, x^{7} + 145152 \, x^{6} + 326592 \, x^{5} + 489888 \, x^{4} + 489888 \, x^{3} + 314928 \, x^{2} + 118098 \, x + 19683\right)}} - \frac{7671 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{50000 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{7671 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{62500 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{48583 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{500000 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{237801 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{3125000 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{14735991 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{250000000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{14112083 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{312500000 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{427819341 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{12500000000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{93593871}{25000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{623905443}{200000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{80215647 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{2500000000 \, {\left(2 \, x + 3\right)}} + \frac{1557213}{4000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{10399319}{32000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{161091}{3200000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{53697}{51200000000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{1020243}{25600000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"1283458023/50000000000*(3*x^2 + 5*x + 2)^(7/2) - 13/55*(3*x^2 + 5*x + 2)^(9/2)/(2048*x^11 + 33792*x^10 + 253440*x^9 + 1140480*x^8 + 3421440*x^7 + 7185024*x^6 + 10777536*x^5 + 11547360*x^4 + 8660520*x^3 + 4330260*x^2 + 1299078*x + 177147) - 621/2750*(3*x^2 + 5*x + 2)^(9/2)/(1024*x^10 + 15360*x^9 + 103680*x^8 + 414720*x^7 + 1088640*x^6 + 1959552*x^5 + 2449440*x^4 + 2099520*x^3 + 1180980*x^2 + 393660*x + 59049) - 3904/20625*(3*x^2 + 5*x + 2)^(9/2)/(512*x^9 + 6912*x^8 + 41472*x^7 + 145152*x^6 + 326592*x^5 + 489888*x^4 + 489888*x^3 + 314928*x^2 + 118098*x + 19683) - 7671/50000*(3*x^2 + 5*x + 2)^(9/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 7671/62500*(3*x^2 + 5*x + 2)^(9/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 48583/500000*(3*x^2 + 5*x + 2)^(9/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 237801/3125000*(3*x^2 + 5*x + 2)^(9/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 14735991/250000000*(3*x^2 + 5*x + 2)^(9/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 14112083/312500000*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 427819341/12500000000*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) - 93593871/25000000000*(3*x^2 + 5*x + 2)^(5/2)*x - 623905443/200000000000*(3*x^2 + 5*x + 2)^(5/2) - 80215647/2500000000*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) + 1557213/4000000000*(3*x^2 + 5*x + 2)^(3/2)*x + 10399319/32000000000*(3*x^2 + 5*x + 2)^(3/2) - 161091/3200000000*sqrt(3*x^2 + 5*x + 2)*x - 53697/51200000000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 1020243/25600000000*sqrt(3*x^2 + 5*x + 2)","B",0
2464,1,726,0,1.399508," ","integrate((5-x)*(3*x^2+5*x+2)^(7/2)/(3+2*x)^13,x, algorithm=""maxima"")","\frac{4185669321}{200000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}} - \frac{13 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{60 \, {\left(4096 \, x^{12} + 73728 \, x^{11} + 608256 \, x^{10} + 3041280 \, x^{9} + 10264320 \, x^{8} + 24634368 \, x^{7} + 43110144 \, x^{6} + 55427328 \, x^{5} + 51963120 \, x^{4} + 34642080 \, x^{3} + 15588936 \, x^{2} + 4251528 \, x + 531441\right)}} - \frac{12 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{55 \, {\left(2048 \, x^{11} + 33792 \, x^{10} + 253440 \, x^{9} + 1140480 \, x^{8} + 3421440 \, x^{7} + 7185024 \, x^{6} + 10777536 \, x^{5} + 11547360 \, x^{4} + 8660520 \, x^{3} + 4330260 \, x^{2} + 1299078 \, x + 177147\right)}} - \frac{2067 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{11000 \, {\left(1024 \, x^{10} + 15360 \, x^{9} + 103680 \, x^{8} + 414720 \, x^{7} + 1088640 \, x^{6} + 1959552 \, x^{5} + 2449440 \, x^{4} + 2099520 \, x^{3} + 1180980 \, x^{2} + 393660 \, x + 59049\right)}} - \frac{6379 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{41250 \, {\left(512 \, x^{9} + 6912 \, x^{8} + 41472 \, x^{7} + 145152 \, x^{6} + 326592 \, x^{5} + 489888 \, x^{4} + 489888 \, x^{3} + 314928 \, x^{2} + 118098 \, x + 19683\right)}} - \frac{25017 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{200000 \, {\left(256 \, x^{8} + 3072 \, x^{7} + 16128 \, x^{6} + 48384 \, x^{5} + 90720 \, x^{4} + 108864 \, x^{3} + 81648 \, x^{2} + 34992 \, x + 6561\right)}} - \frac{25017 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{250000 \, {\left(128 \, x^{7} + 1344 \, x^{6} + 6048 \, x^{5} + 15120 \, x^{4} + 22680 \, x^{3} + 20412 \, x^{2} + 10206 \, x + 2187\right)}} - \frac{158441 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{2000000 \, {\left(64 \, x^{6} + 576 \, x^{5} + 2160 \, x^{4} + 4320 \, x^{3} + 4860 \, x^{2} + 2916 \, x + 729\right)}} - \frac{775527 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{12500000 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{48057657 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{1000000000 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{46022941 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{1250000000 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{1395223107 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{9}{2}}}{50000000000 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{305232417}{100000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} x - \frac{2034707661}{800000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} - \frac{261602769 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{7}{2}}}{10000000000 \, {\left(2 \, x + 3\right)}} + \frac{5078451}{16000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + \frac{33914713}{128000000000} \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} - \frac{525357}{12800000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{175119}{204800000000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{3327261}{102400000000} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"4185669321/200000000000*(3*x^2 + 5*x + 2)^(7/2) - 13/60*(3*x^2 + 5*x + 2)^(9/2)/(4096*x^12 + 73728*x^11 + 608256*x^10 + 3041280*x^9 + 10264320*x^8 + 24634368*x^7 + 43110144*x^6 + 55427328*x^5 + 51963120*x^4 + 34642080*x^3 + 15588936*x^2 + 4251528*x + 531441) - 12/55*(3*x^2 + 5*x + 2)^(9/2)/(2048*x^11 + 33792*x^10 + 253440*x^9 + 1140480*x^8 + 3421440*x^7 + 7185024*x^6 + 10777536*x^5 + 11547360*x^4 + 8660520*x^3 + 4330260*x^2 + 1299078*x + 177147) - 2067/11000*(3*x^2 + 5*x + 2)^(9/2)/(1024*x^10 + 15360*x^9 + 103680*x^8 + 414720*x^7 + 1088640*x^6 + 1959552*x^5 + 2449440*x^4 + 2099520*x^3 + 1180980*x^2 + 393660*x + 59049) - 6379/41250*(3*x^2 + 5*x + 2)^(9/2)/(512*x^9 + 6912*x^8 + 41472*x^7 + 145152*x^6 + 326592*x^5 + 489888*x^4 + 489888*x^3 + 314928*x^2 + 118098*x + 19683) - 25017/200000*(3*x^2 + 5*x + 2)^(9/2)/(256*x^8 + 3072*x^7 + 16128*x^6 + 48384*x^5 + 90720*x^4 + 108864*x^3 + 81648*x^2 + 34992*x + 6561) - 25017/250000*(3*x^2 + 5*x + 2)^(9/2)/(128*x^7 + 1344*x^6 + 6048*x^5 + 15120*x^4 + 22680*x^3 + 20412*x^2 + 10206*x + 2187) - 158441/2000000*(3*x^2 + 5*x + 2)^(9/2)/(64*x^6 + 576*x^5 + 2160*x^4 + 4320*x^3 + 4860*x^2 + 2916*x + 729) - 775527/12500000*(3*x^2 + 5*x + 2)^(9/2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 48057657/1000000000*(3*x^2 + 5*x + 2)^(9/2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 46022941/1250000000*(3*x^2 + 5*x + 2)^(9/2)/(8*x^3 + 36*x^2 + 54*x + 27) - 1395223107/50000000000*(3*x^2 + 5*x + 2)^(9/2)/(4*x^2 + 12*x + 9) - 305232417/100000000000*(3*x^2 + 5*x + 2)^(5/2)*x - 2034707661/800000000000*(3*x^2 + 5*x + 2)^(5/2) - 261602769/10000000000*(3*x^2 + 5*x + 2)^(7/2)/(2*x + 3) + 5078451/16000000000*(3*x^2 + 5*x + 2)^(3/2)*x + 33914713/128000000000*(3*x^2 + 5*x + 2)^(3/2) - 525357/12800000000*sqrt(3*x^2 + 5*x + 2)*x - 175119/204800000000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 3327261/102400000000*sqrt(3*x^2 + 5*x + 2)","B",0
2465,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2466,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2467,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2468,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2469,-2,0,0,0.000000," ","integrate((B*x+A)/(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((b/e-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((-(b*d)/e)        +(c*d^2)/e^2+a))     /e^2 zero or nonzero?","F(-2)",0
2470,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2471,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2472,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2473,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2474,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2475,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2476,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2477,-2,0,0,0.000000," ","integrate((B*x+A)/(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((b/e-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((-(b*d)/e)        +(c*d^2)/e^2+a))     /e^2 zero or nonzero?","F(-2)",0
2478,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2479,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2480,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2481,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2482,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2483,-2,0,0,0.000000," ","integrate((B*x+A)*(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
2484,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2485,-2,0,0,0.000000," ","integrate((B*x+A)/(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((b/e-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((-(b*d)/e)        +(c*d^2)/e^2+a))     /e^2 zero or nonzero?","F(-2)",0
2486,-2,0,0,0.000000," ","integrate((B*x+A)/(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
2487,-2,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^6/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2488,-2,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^5/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2489,-2,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^4/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2490,-2,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^3/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2491,-2,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^2/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2492,-2,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2493,-2,0,0,0.000000," ","integrate((B*x+A)/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
2494,-2,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((b/e-(2*c*d)/e^2)^2>0)', see `assume?` for more details)Is (b/e-(2*c*d)/e^2)^2    -(4*c       *((-(b*d)/e)        +(c*d^2)/e^2+a))     /e^2 zero or nonzero?","F(-2)",0
2495,1,109,0,1.291609," ","integrate((5-x)*(3+2*x)^4/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{16}{15} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{4} + \frac{2}{3} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{3} + \frac{3913}{135} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{2} + \frac{26875}{324} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{28051}{3888} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{93943}{1080} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-16/15*sqrt(3*x^2 + 5*x + 2)*x^4 + 2/3*sqrt(3*x^2 + 5*x + 2)*x^3 + 3913/135*sqrt(3*x^2 + 5*x + 2)*x^2 + 26875/324*sqrt(3*x^2 + 5*x + 2)*x + 28051/3888*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 93943/1080*sqrt(3*x^2 + 5*x + 2)","A",0
2496,1,92,0,1.364579," ","integrate((5-x)*(3+2*x)^3/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{2}{3} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{3} + \frac{47}{27} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{2} + \frac{5845}{324} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{19405}{3888} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{7253}{216} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-2/3*sqrt(3*x^2 + 5*x + 2)*x^3 + 47/27*sqrt(3*x^2 + 5*x + 2)*x^2 + 5845/324*sqrt(3*x^2 + 5*x + 2)*x + 19405/3888*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 7253/216*sqrt(3*x^2 + 5*x + 2)","A",0
2497,1,75,0,1.241320," ","integrate((5-x)*(3+2*x)^2/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{4}{9} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{2} + \frac{61}{27} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{1147}{324} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{215}{18} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-4/9*sqrt(3*x^2 + 5*x + 2)*x^2 + 61/27*sqrt(3*x^2 + 5*x + 2)*x + 1147/324*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 215/18*sqrt(3*x^2 + 5*x + 2)","A",0
2498,1,58,0,1.311254," ","integrate((5-x)*(3+2*x)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + \frac{31}{12} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{19}{6} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/3*sqrt(3*x^2 + 5*x + 2)*x + 31/12*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 19/6*sqrt(3*x^2 + 5*x + 2)","A",0
2499,1,43,0,1.334725," ","integrate((5-x)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","\frac{35}{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,"35/18*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
2500,1,70,0,1.168280," ","integrate((5-x)/(3+2*x)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 3 \, x + \frac{5}{2}\right) - \frac{13}{10} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right)"," ",0,"-1/6*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 3*x + 5/2) - 13/10*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2)","A",0
2501,1,64,0,1.291778," ","integrate((5-x)/(3+2*x)^2/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{47}{50} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{13 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{5 \, {\left(2 \, x + 3\right)}}"," ",0,"-47/50*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 13/5*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2502,1,90,0,1.266787," ","integrate((5-x)/(3+2*x)^3/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{389}{500} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{13 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{10 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{73 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{25 \, {\left(2 \, x + 3\right)}}"," ",0,"-389/500*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 13/10*sqrt(3*x^2 + 5*x + 2)/(4*x^2 + 12*x + 9) - 73/25*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2503,1,121,0,1.209391," ","integrate((5-x)/(3+2*x)^4/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{331}{500} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{13 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{15 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{49 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{30 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{72 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{25 \, {\left(2 \, x + 3\right)}}"," ",0,"-331/500*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 13/15*sqrt(3*x^2 + 5*x + 2)/(8*x^3 + 36*x^2 + 54*x + 27) - 49/30*sqrt(3*x^2 + 5*x + 2)/(4*x^2 + 12*x + 9) - 72/25*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2504,1,157,0,1.271066," ","integrate((5-x)/(3+2*x)^5/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{5771}{10000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{13 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{20 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{86 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{75 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{41 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{24 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{681 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{250 \, {\left(2 \, x + 3\right)}}"," ",0,"-5771/10000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 13/20*sqrt(3*x^2 + 5*x + 2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 86/75*sqrt(3*x^2 + 5*x + 2)/(8*x^3 + 36*x^2 + 54*x + 27) - 41/24*sqrt(3*x^2 + 5*x + 2)/(4*x^2 + 12*x + 9) - 681/250*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2505,1,198,0,1.166290," ","integrate((5-x)/(3+2*x)^6/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{128381}{250000} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{13 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{25 \, {\left(32 \, x^{5} + 240 \, x^{4} + 720 \, x^{3} + 1080 \, x^{2} + 810 \, x + 243\right)}} - \frac{443 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{500 \, {\left(16 \, x^{4} + 96 \, x^{3} + 216 \, x^{2} + 216 \, x + 81\right)}} - \frac{2321 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{1875 \, {\left(8 \, x^{3} + 36 \, x^{2} + 54 \, x + 27\right)}} - \frac{1007 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{600 \, {\left(4 \, x^{2} + 12 \, x + 9\right)}} - \frac{15891 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}{6250 \, {\left(2 \, x + 3\right)}}"," ",0,"-128381/250000*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 13/25*sqrt(3*x^2 + 5*x + 2)/(32*x^5 + 240*x^4 + 720*x^3 + 1080*x^2 + 810*x + 243) - 443/500*sqrt(3*x^2 + 5*x + 2)/(16*x^4 + 96*x^3 + 216*x^2 + 216*x + 81) - 2321/1875*sqrt(3*x^2 + 5*x + 2)/(8*x^3 + 36*x^2 + 54*x + 27) - 1007/600*sqrt(3*x^2 + 5*x + 2)/(4*x^2 + 12*x + 9) - 15891/6250*sqrt(3*x^2 + 5*x + 2)/(2*x + 3)","A",0
2506,1,109,0,1.111779," ","integrate((5-x)*(3+2*x)^4/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{16 \, x^{4}}{9 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{68 \, x^{3}}{27 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{6662 \, x^{2}}{81 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{6265}{243} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{13840 \, x}{81 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{6394}{27 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}"," ",0,"-16/9*x^4/sqrt(3*x^2 + 5*x + 2) + 68/27*x^3/sqrt(3*x^2 + 5*x + 2) + 6662/81*x^2/sqrt(3*x^2 + 5*x + 2) + 6265/243*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 13840/81*x/sqrt(3*x^2 + 5*x + 2) - 6394/27/sqrt(3*x^2 + 5*x + 2)","A",0
2507,1,92,0,1.402849," ","integrate((5-x)*(3+2*x)^3/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, x^{3}}{3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{62 \, x^{2}}{9 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{247}{27} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{1612 \, x}{9 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{526}{3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}"," ",0,"-4/3*x^3/sqrt(3*x^2 + 5*x + 2) + 62/9*x^2/sqrt(3*x^2 + 5*x + 2) + 247/27*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 1612/9*x/sqrt(3*x^2 + 5*x + 2) - 526/3/sqrt(3*x^2 + 5*x + 2)","A",0
2508,1,75,0,1.600333," ","integrate((5-x)*(3+2*x)^2/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, x^{2}}{3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + 2 \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{398 \, x}{3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{358}{3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}"," ",0,"-4/3*x^2/sqrt(3*x^2 + 5*x + 2) + 2*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 398/3*x/sqrt(3*x^2 + 5*x + 2) - 358/3/sqrt(3*x^2 + 5*x + 2)","A",0
2509,1,58,0,1.225478," ","integrate((5-x)*(3+2*x)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{278 \, x}{3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{242}{3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}"," ",0,"-2/9*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 278/3*x/sqrt(3*x^2 + 5*x + 2) - 242/3/sqrt(3*x^2 + 5*x + 2)","A",0
2510,1,30,0,0.509256," ","integrate((5-x)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{70 \, x}{\sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{58}{\sqrt{3 \, x^{2} + 5 \, x + 2}}"," ",0,"-70*x/sqrt(3*x^2 + 5*x + 2) - 58/sqrt(3*x^2 + 5*x + 2)","A",0
2511,1,72,0,1.359093," ","integrate((5-x)/(3+2*x)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{26}{25} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{282 \, x}{5 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{222}{5 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}"," ",0,"-26/25*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 282/5*x/sqrt(3*x^2 + 5*x + 2) - 222/5/sqrt(3*x^2 + 5*x + 2)","A",0
2512,1,106,0,1.356085," ","integrate((5-x)/(3+2*x)^2/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{302}{125} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{1284 \, x}{25 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{919}{25 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{13}{5 \, {\left(2 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}\right)}}"," ",0,"-302/125*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 1284/25*x/sqrt(3*x^2 + 5*x + 2) - 919/25/sqrt(3*x^2 + 5*x + 2) - 13/5/(2*sqrt(3*x^2 + 5*x + 2)*x + 3*sqrt(3*x^2 + 5*x + 2))","A",0
2513,1,157,0,1.270249," ","integrate((5-x)/(3+2*x)^3/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{483}{125} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{1296 \, x}{25 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{1677}{50 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{13}{10 \, {\left(4 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{2} + 12 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 9 \, \sqrt{3 \, x^{2} + 5 \, x + 2}\right)}} - \frac{5}{2 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}}"," ",0,"-483/125*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 1296/25*x/sqrt(3*x^2 + 5*x + 2) - 1677/50/sqrt(3*x^2 + 5*x + 2) - 13/10/(4*sqrt(3*x^2 + 5*x + 2)*x^2 + 12*sqrt(3*x^2 + 5*x + 2)*x + 9*sqrt(3*x^2 + 5*x + 2)) - 5/(2*sqrt(3*x^2 + 5*x + 2)*x + 3*sqrt(3*x^2 + 5*x + 2))","A",0
2514,1,225,0,1.296531," ","integrate((5-x)/(3+2*x)^4/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{3289}{625} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{6948 \, x}{125 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{8291}{250 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{13}{15 \, {\left(8 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{3} + 36 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{2} + 54 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 27 \, \sqrt{3 \, x^{2} + 5 \, x + 2}\right)}} - \frac{349}{150 \, {\left(4 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{2} + 12 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 9 \, \sqrt{3 \, x^{2} + 5 \, x + 2}\right)}} - \frac{542}{75 \, {\left(2 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}\right)}}"," ",0,"-3289/625*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 6948/125*x/sqrt(3*x^2 + 5*x + 2) - 8291/250/sqrt(3*x^2 + 5*x + 2) - 13/15/(8*sqrt(3*x^2 + 5*x + 2)*x^3 + 36*sqrt(3*x^2 + 5*x + 2)*x^2 + 54*sqrt(3*x^2 + 5*x + 2)*x + 27*sqrt(3*x^2 + 5*x + 2)) - 349/150/(4*sqrt(3*x^2 + 5*x + 2)*x^2 + 12*sqrt(3*x^2 + 5*x + 2)*x + 9*sqrt(3*x^2 + 5*x + 2)) - 542/75/(2*sqrt(3*x^2 + 5*x + 2)*x + 3*sqrt(3*x^2 + 5*x + 2))","A",0
2515,1,310,0,1.254554," ","integrate((5-x)/(3+2*x)^5/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{82039}{12500} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) - \frac{38187 \, x}{625 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{172541}{5000 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{13}{20 \, {\left(16 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{4} + 96 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{3} + 216 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{2} + 216 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 81 \, \sqrt{3 \, x^{2} + 5 \, x + 2}\right)}} - \frac{112}{75 \, {\left(8 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{3} + 36 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{2} + 54 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 27 \, \sqrt{3 \, x^{2} + 5 \, x + 2}\right)}} - \frac{9619}{3000 \, {\left(4 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x^{2} + 12 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 9 \, \sqrt{3 \, x^{2} + 5 \, x + 2}\right)}} - \frac{6931}{750 \, {\left(2 \, \sqrt{3 \, x^{2} + 5 \, x + 2} x + 3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}\right)}}"," ",0,"-82039/12500*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) - 38187/625*x/sqrt(3*x^2 + 5*x + 2) - 172541/5000/sqrt(3*x^2 + 5*x + 2) - 13/20/(16*sqrt(3*x^2 + 5*x + 2)*x^4 + 96*sqrt(3*x^2 + 5*x + 2)*x^3 + 216*sqrt(3*x^2 + 5*x + 2)*x^2 + 216*sqrt(3*x^2 + 5*x + 2)*x + 81*sqrt(3*x^2 + 5*x + 2)) - 112/75/(8*sqrt(3*x^2 + 5*x + 2)*x^3 + 36*sqrt(3*x^2 + 5*x + 2)*x^2 + 54*sqrt(3*x^2 + 5*x + 2)*x + 27*sqrt(3*x^2 + 5*x + 2)) - 9619/3000/(4*sqrt(3*x^2 + 5*x + 2)*x^2 + 12*sqrt(3*x^2 + 5*x + 2)*x + 9*sqrt(3*x^2 + 5*x + 2)) - 6931/750/(2*sqrt(3*x^2 + 5*x + 2)*x + 3*sqrt(3*x^2 + 5*x + 2))","B",0
2516,1,214,0,1.159280," ","integrate((5-x)*(3+2*x)^4/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{16 \, x^{4}}{3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{152}{81} \, x {\left(\frac{1410 \, x}{\sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{9 \, x^{2}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} + \frac{1175}{\sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{55 \, x}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{46}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\right)} + \frac{152}{81} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{71440}{81} \, \sqrt{3 \, x^{2} + 5 \, x + 2} - \frac{60704 \, x}{81 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{920 \, x^{2}}{9 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{15680}{27 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{13066 \, x}{81 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{6766}{81 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}"," ",0,"-16/3*x^4/(3*x^2 + 5*x + 2)^(3/2) - 152/81*x*(1410*x/sqrt(3*x^2 + 5*x + 2) + 9*x^2/(3*x^2 + 5*x + 2)^(3/2) + 1175/sqrt(3*x^2 + 5*x + 2) - 55*x/(3*x^2 + 5*x + 2)^(3/2) - 46/(3*x^2 + 5*x + 2)^(3/2)) + 152/81*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 71440/81*sqrt(3*x^2 + 5*x + 2) - 60704/81*x/sqrt(3*x^2 + 5*x + 2) - 920/9*x^2/(3*x^2 + 5*x + 2)^(3/2) - 15680/27/sqrt(3*x^2 + 5*x + 2) - 13066/81*x/(3*x^2 + 5*x + 2)^(3/2) - 6766/81/(3*x^2 + 5*x + 2)^(3/2)","B",0
2517,1,197,0,1.234688," ","integrate((5-x)*(3+2*x)^3/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","\frac{8}{27} \, x {\left(\frac{1410 \, x}{\sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{9 \, x^{2}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} + \frac{1175}{\sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{55 \, x}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{46}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\right)} - \frac{8}{27} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) - \frac{3760}{27} \, \sqrt{3 \, x^{2} + 5 \, x + 2} + \frac{42272 \, x}{27 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{4 \, x^{2}}{3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} + \frac{11680}{9 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{2318 \, x}{27 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{2030}{27 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}"," ",0,"8/27*x*(1410*x/sqrt(3*x^2 + 5*x + 2) + 9*x^2/(3*x^2 + 5*x + 2)^(3/2) + 1175/sqrt(3*x^2 + 5*x + 2) - 55*x/(3*x^2 + 5*x + 2)^(3/2) - 46/(3*x^2 + 5*x + 2)^(3/2)) - 8/27*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) - 3760/27*sqrt(3*x^2 + 5*x + 2) + 42272/27*x/sqrt(3*x^2 + 5*x + 2) - 4/3*x^2/(3*x^2 + 5*x + 2)^(3/2) + 11680/9/sqrt(3*x^2 + 5*x + 2) - 2318/27*x/(3*x^2 + 5*x + 2)^(3/2) - 2030/27/(3*x^2 + 5*x + 2)^(3/2)","B",0
2518,1,76,0,0.505247," ","integrate((5-x)*(3+2*x)^2/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","\frac{8744 \, x}{9 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{4 \, x^{2}}{3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} + \frac{21860}{27 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{1114 \, x}{27 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{1042}{27 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}"," ",0,"8744/9*x/sqrt(3*x^2 + 5*x + 2) + 4/3*x^2/(3*x^2 + 5*x + 2)^(3/2) + 21860/27/sqrt(3*x^2 + 5*x + 2) - 1114/27*x/(3*x^2 + 5*x + 2)^(3/2) - 1042/27/(3*x^2 + 5*x + 2)^(3/2)","A",0
2519,1,59,0,0.525297," ","integrate((5-x)*(3+2*x)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","\frac{2248 \, x}{3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{5620}{9 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{278 \, x}{9 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{242}{9 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}"," ",0,"2248/3*x/sqrt(3*x^2 + 5*x + 2) + 5620/9/sqrt(3*x^2 + 5*x + 2) - 278/9*x/(3*x^2 + 5*x + 2)^(3/2) - 242/9/(3*x^2 + 5*x + 2)^(3/2)","A",0
2520,1,59,0,0.444874," ","integrate((5-x)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","\frac{560 \, x}{\sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{1400}{3 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{70 \, x}{3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{58}{3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}"," ",0,"560*x/sqrt(3*x^2 + 5*x + 2) + 1400/3/sqrt(3*x^2 + 5*x + 2) - 70/3*x/(3*x^2 + 5*x + 2)^(3/2) - 58/3/(3*x^2 + 5*x + 2)^(3/2)","A",0
2521,1,101,0,1.450881," ","integrate((5-x)/(3+2*x)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{104}{125} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{10032 \, x}{25 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{8412}{25 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{94 \, x}{5 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{74}{5 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}"," ",0,"-104/125*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 10032/25*x/sqrt(3*x^2 + 5*x + 2) + 8412/25/sqrt(3*x^2 + 5*x + 2) - 94/5*x/(3*x^2 + 5*x + 2)^(3/2) - 74/5/(3*x^2 + 5*x + 2)^(3/2)","A",0
2522,1,135,0,1.314249," ","integrate((5-x)/(3+2*x)^2/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{408}{125} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{6624 \, x}{25 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{5724}{25 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{96 \, x}{5 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{13}{5 \, {\left(2 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + 3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}\right)}} - \frac{63}{5 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}"," ",0,"-408/125*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 6624/25*x/sqrt(3*x^2 + 5*x + 2) + 5724/25/sqrt(3*x^2 + 5*x + 2) - 96/5*x/(3*x^2 + 5*x + 2)^(3/2) - 13/5/(2*(3*x^2 + 5*x + 2)^(3/2)*x + 3*(3*x^2 + 5*x + 2)^(3/2)) - 63/5/(3*x^2 + 5*x + 2)^(3/2)","A",0
2523,1,186,0,1.241514," ","integrate((5-x)/(3+2*x)^3/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{4884}{625} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{17712 \, x}{125 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{17202}{125 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{636 \, x}{25 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{13}{10 \, {\left(4 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{2} + 12 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + 9 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}\right)}} - \frac{177}{25 \, {\left(2 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + 3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}\right)}} - \frac{653}{50 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}"," ",0,"-4884/625*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 17712/125*x/sqrt(3*x^2 + 5*x + 2) + 17202/125/sqrt(3*x^2 + 5*x + 2) - 636/25*x/(3*x^2 + 5*x + 2)^(3/2) - 13/10/(4*(3*x^2 + 5*x + 2)^(3/2)*x^2 + 12*(3*x^2 + 5*x + 2)^(3/2)*x + 9*(3*x^2 + 5*x + 2)^(3/2)) - 177/25/(2*(3*x^2 + 5*x + 2)^(3/2)*x + 3*(3*x^2 + 5*x + 2)^(3/2)) - 653/50/(3*x^2 + 5*x + 2)^(3/2)","A",0
2524,1,254,0,1.273934," ","integrate((5-x)/(3+2*x)^4/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{46108}{3125} \, \sqrt{5} \log\left(\frac{\sqrt{5} \sqrt{3 \, x^{2} + 5 \, x + 2}}{{\left| 2 \, x + 3 \right|}} + \frac{5}{2 \, {\left| 2 \, x + 3 \right|}} - 2\right) + \frac{14544 \, x}{625 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} + \frac{35174}{625 \, \sqrt{3 \, x^{2} + 5 \, x + 2}} - \frac{4732 \, x}{125 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}} - \frac{13}{15 \, {\left(8 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{3} + 36 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{2} + 54 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + 27 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}\right)}} - \frac{151}{50 \, {\left(4 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x^{2} + 12 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + 9 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}\right)}} - \frac{1724}{125 \, {\left(2 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} x + 3 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}\right)}} - \frac{12133}{750 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}"," ",0,"-46108/3125*sqrt(5)*log(sqrt(5)*sqrt(3*x^2 + 5*x + 2)/abs(2*x + 3) + 5/2/abs(2*x + 3) - 2) + 14544/625*x/sqrt(3*x^2 + 5*x + 2) + 35174/625/sqrt(3*x^2 + 5*x + 2) - 4732/125*x/(3*x^2 + 5*x + 2)^(3/2) - 13/15/(8*(3*x^2 + 5*x + 2)^(3/2)*x^3 + 36*(3*x^2 + 5*x + 2)^(3/2)*x^2 + 54*(3*x^2 + 5*x + 2)^(3/2)*x + 27*(3*x^2 + 5*x + 2)^(3/2)) - 151/50/(4*(3*x^2 + 5*x + 2)^(3/2)*x^2 + 12*(3*x^2 + 5*x + 2)^(3/2)*x + 9*(3*x^2 + 5*x + 2)^(3/2)) - 1724/125/(2*(3*x^2 + 5*x + 2)^(3/2)*x + 3*(3*x^2 + 5*x + 2)^(3/2)) - 12133/750/(3*x^2 + 5*x + 2)^(3/2)","A",0
2525,1,41,0,1.176301," ","integrate((-1+x)/(1+x)/(x^2+x+1)^(1/2),x, algorithm=""maxima"")","\operatorname{arsinh}\left(\frac{2}{3} \, \sqrt{3} x + \frac{1}{3} \, \sqrt{3}\right) - 2 \, \operatorname{arsinh}\left(\frac{\sqrt{3} x}{3 \, {\left| x + 1 \right|}} - \frac{\sqrt{3}}{3 \, {\left| x + 1 \right|}}\right)"," ",0,"arcsinh(2/3*sqrt(3)*x + 1/3*sqrt(3)) - 2*arcsinh(1/3*sqrt(3)*x/abs(x + 1) - 1/3*sqrt(3)/abs(x + 1))","A",0
2526,1,37,0,0.543349," ","integrate((5-x)*(3+2*x)^(7/2)*(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{1}{40} \, {\left(2 \, x + 3\right)}^{\frac{15}{2}} + \frac{47}{104} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} - \frac{109}{88} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + \frac{65}{72} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}}"," ",0,"-1/40*(2*x + 3)^(15/2) + 47/104*(2*x + 3)^(13/2) - 109/88*(2*x + 3)^(11/2) + 65/72*(2*x + 3)^(9/2)","A",0
2527,1,37,0,0.497638," ","integrate((5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{3}{104} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} + \frac{47}{88} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} - \frac{109}{72} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + \frac{65}{56} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}}"," ",0,"-3/104*(2*x + 3)^(13/2) + 47/88*(2*x + 3)^(11/2) - 109/72*(2*x + 3)^(9/2) + 65/56*(2*x + 3)^(7/2)","A",0
2528,1,37,0,0.550951," ","integrate((5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{3}{88} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + \frac{47}{72} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} - \frac{109}{56} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + \frac{13}{8} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}}"," ",0,"-3/88*(2*x + 3)^(11/2) + 47/72*(2*x + 3)^(9/2) - 109/56*(2*x + 3)^(7/2) + 13/8*(2*x + 3)^(5/2)","A",0
2529,1,37,0,0.605272," ","integrate((5-x)*(3*x^2+5*x+2)*(3+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{24} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + \frac{47}{56} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - \frac{109}{40} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{65}{24} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}}"," ",0,"-1/24*(2*x + 3)^(9/2) + 47/56*(2*x + 3)^(7/2) - 109/40*(2*x + 3)^(5/2) + 65/24*(2*x + 3)^(3/2)","A",0
2530,1,37,0,0.485579," ","integrate((5-x)*(3*x^2+5*x+2)/(3+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{3}{56} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + \frac{47}{40} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} - \frac{109}{24} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + \frac{65}{8} \, \sqrt{2 \, x + 3}"," ",0,"-3/56*(2*x + 3)^(7/2) + 47/40*(2*x + 3)^(5/2) - 109/24*(2*x + 3)^(3/2) + 65/8*sqrt(2*x + 3)","A",0
2531,1,37,0,0.514039," ","integrate((5-x)*(3*x^2+5*x+2)/(3+2*x)^(3/2),x, algorithm=""maxima"")","-\frac{3}{40} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{47}{24} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - \frac{109}{8} \, \sqrt{2 \, x + 3} - \frac{65}{8 \, \sqrt{2 \, x + 3}}"," ",0,"-3/40*(2*x + 3)^(5/2) + 47/24*(2*x + 3)^(3/2) - 109/8*sqrt(2*x + 3) - 65/8/sqrt(2*x + 3)","A",0
2532,1,33,0,0.575926," ","integrate((5-x)*(3*x^2+5*x+2)/(3+2*x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + \frac{47}{8} \, \sqrt{2 \, x + 3} + \frac{327 \, x + 458}{12 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}}}"," ",0,"-1/8*(2*x + 3)^(3/2) + 47/8*sqrt(2*x + 3) + 1/12*(327*x + 458)/(2*x + 3)^(3/2)","A",0
2533,1,33,0,0.455738," ","integrate((5-x)*(3*x^2+5*x+2)/(3+2*x)^(7/2),x, algorithm=""maxima"")","-\frac{3}{8} \, \sqrt{2 \, x + 3} - \frac{141 \, {\left(2 \, x + 3\right)}^{2} - 218 \, x - 288}{24 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}}}"," ",0,"-3/8*sqrt(2*x + 3) - 1/24*(141*(2*x + 3)^2 - 218*x - 288)/(2*x + 3)^(5/2)","A",0
2534,1,55,0,0.526028," ","integrate((5-x)*(3+2*x)^(7/2)*(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{9}{608} \, {\left(2 \, x + 3\right)}^{\frac{19}{2}} + \frac{165}{544} \, {\left(2 \, x + 3\right)}^{\frac{17}{2}} - \frac{359}{240} \, {\left(2 \, x + 3\right)}^{\frac{15}{2}} + \frac{651}{208} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} - \frac{1065}{352} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + \frac{325}{288} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}}"," ",0,"-9/608*(2*x + 3)^(19/2) + 165/544*(2*x + 3)^(17/2) - 359/240*(2*x + 3)^(15/2) + 651/208*(2*x + 3)^(13/2) - 1065/352*(2*x + 3)^(11/2) + 325/288*(2*x + 3)^(9/2)","A",0
2535,1,55,0,0.481313," ","integrate((5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{9}{544} \, {\left(2 \, x + 3\right)}^{\frac{17}{2}} + \frac{11}{32} \, {\left(2 \, x + 3\right)}^{\frac{15}{2}} - \frac{359}{208} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} + \frac{651}{176} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} - \frac{355}{96} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + \frac{325}{224} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}}"," ",0,"-9/544*(2*x + 3)^(17/2) + 11/32*(2*x + 3)^(15/2) - 359/208*(2*x + 3)^(13/2) + 651/176*(2*x + 3)^(11/2) - 355/96*(2*x + 3)^(9/2) + 325/224*(2*x + 3)^(7/2)","A",0
2536,1,55,0,0.465041," ","integrate((5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{3}{160} \, {\left(2 \, x + 3\right)}^{\frac{15}{2}} + \frac{165}{416} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} - \frac{359}{176} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + \frac{217}{48} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} - \frac{1065}{224} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + \frac{65}{32} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}}"," ",0,"-3/160*(2*x + 3)^(15/2) + 165/416*(2*x + 3)^(13/2) - 359/176*(2*x + 3)^(11/2) + 217/48*(2*x + 3)^(9/2) - 1065/224*(2*x + 3)^(7/2) + 65/32*(2*x + 3)^(5/2)","A",0
2537,1,55,0,0.642247," ","integrate((5-x)*(3*x^2+5*x+2)^2*(3+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{9}{416} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} + \frac{15}{32} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} - \frac{359}{144} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + \frac{93}{16} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - \frac{213}{32} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{325}{96} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}}"," ",0,"-9/416*(2*x + 3)^(13/2) + 15/32*(2*x + 3)^(11/2) - 359/144*(2*x + 3)^(9/2) + 93/16*(2*x + 3)^(7/2) - 213/32*(2*x + 3)^(5/2) + 325/96*(2*x + 3)^(3/2)","A",0
2538,1,55,0,0.518249," ","integrate((5-x)*(3*x^2+5*x+2)^2/(3+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{9}{352} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + \frac{55}{96} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} - \frac{359}{112} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + \frac{651}{80} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} - \frac{355}{32} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + \frac{325}{32} \, \sqrt{2 \, x + 3}"," ",0,"-9/352*(2*x + 3)^(11/2) + 55/96*(2*x + 3)^(9/2) - 359/112*(2*x + 3)^(7/2) + 651/80*(2*x + 3)^(5/2) - 355/32*(2*x + 3)^(3/2) + 325/32*sqrt(2*x + 3)","A",0
2539,1,55,0,0.524816," ","integrate((5-x)*(3*x^2+5*x+2)^2/(3+2*x)^(3/2),x, algorithm=""maxima"")","-\frac{1}{32} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + \frac{165}{224} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - \frac{359}{80} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{217}{16} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - \frac{1065}{32} \, \sqrt{2 \, x + 3} - \frac{325}{32 \, \sqrt{2 \, x + 3}}"," ",0,"-1/32*(2*x + 3)^(9/2) + 165/224*(2*x + 3)^(7/2) - 359/80*(2*x + 3)^(5/2) + 217/16*(2*x + 3)^(3/2) - 1065/32*sqrt(2*x + 3) - 325/32/sqrt(2*x + 3)","A",0
2540,1,51,0,0.625637," ","integrate((5-x)*(3*x^2+5*x+2)^2/(3+2*x)^(5/2),x, algorithm=""maxima"")","-\frac{9}{224} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + \frac{33}{32} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} - \frac{359}{48} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + \frac{651}{16} \, \sqrt{2 \, x + 3} + \frac{5 \, {\left(639 \, x + 926\right)}}{48 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}}}"," ",0,"-9/224*(2*x + 3)^(7/2) + 33/32*(2*x + 3)^(5/2) - 359/48*(2*x + 3)^(3/2) + 651/16*sqrt(2*x + 3) + 5/48*(639*x + 926)/(2*x + 3)^(3/2)","A",0
2541,1,51,0,0.656410," ","integrate((5-x)*(3*x^2+5*x+2)^2/(3+2*x)^(7/2),x, algorithm=""maxima"")","-\frac{9}{160} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{55}{32} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - \frac{359}{16} \, \sqrt{2 \, x + 3} - \frac{651 \, {\left(2 \, x + 3\right)}^{2} - 355 \, x - 500}{16 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}}}"," ",0,"-9/160*(2*x + 3)^(5/2) + 55/32*(2*x + 3)^(3/2) - 359/16*sqrt(2*x + 3) - 1/16*(651*(2*x + 3)^2 - 355*x - 500)/(2*x + 3)^(5/2)","A",0
2542,1,73,0,0.711326," ","integrate((5-x)*(3+2*x)^(7/2)*(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","-\frac{27}{2944} \, {\left(2 \, x + 3\right)}^{\frac{23}{2}} + \frac{27}{128} \, {\left(2 \, x + 3\right)}^{\frac{21}{2}} - \frac{3519}{2432} \, {\left(2 \, x + 3\right)}^{\frac{19}{2}} + \frac{10475}{2176} \, {\left(2 \, x + 3\right)}^{\frac{17}{2}} - \frac{17201}{1920} \, {\left(2 \, x + 3\right)}^{\frac{15}{2}} + \frac{16005}{1664} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} - \frac{7925}{1408} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + \frac{1625}{1152} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}}"," ",0,"-27/2944*(2*x + 3)^(23/2) + 27/128*(2*x + 3)^(21/2) - 3519/2432*(2*x + 3)^(19/2) + 10475/2176*(2*x + 3)^(17/2) - 17201/1920*(2*x + 3)^(15/2) + 16005/1664*(2*x + 3)^(13/2) - 7925/1408*(2*x + 3)^(11/2) + 1625/1152*(2*x + 3)^(9/2)","A",0
2543,1,73,0,0.788415," ","integrate((5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","-\frac{9}{896} \, {\left(2 \, x + 3\right)}^{\frac{21}{2}} + \frac{567}{2432} \, {\left(2 \, x + 3\right)}^{\frac{19}{2}} - \frac{207}{128} \, {\left(2 \, x + 3\right)}^{\frac{17}{2}} + \frac{2095}{384} \, {\left(2 \, x + 3\right)}^{\frac{15}{2}} - \frac{17201}{1664} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} + \frac{1455}{128} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} - \frac{7925}{1152} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + \frac{1625}{896} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}}"," ",0,"-9/896*(2*x + 3)^(21/2) + 567/2432*(2*x + 3)^(19/2) - 207/128*(2*x + 3)^(17/2) + 2095/384*(2*x + 3)^(15/2) - 17201/1664*(2*x + 3)^(13/2) + 1455/128*(2*x + 3)^(11/2) - 7925/1152*(2*x + 3)^(9/2) + 1625/896*(2*x + 3)^(7/2)","A",0
2544,1,73,0,0.525200," ","integrate((5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","-\frac{27}{2432} \, {\left(2 \, x + 3\right)}^{\frac{19}{2}} + \frac{567}{2176} \, {\left(2 \, x + 3\right)}^{\frac{17}{2}} - \frac{1173}{640} \, {\left(2 \, x + 3\right)}^{\frac{15}{2}} + \frac{10475}{1664} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} - \frac{17201}{1408} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + \frac{5335}{384} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} - \frac{7925}{896} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + \frac{325}{128} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}}"," ",0,"-27/2432*(2*x + 3)^(19/2) + 567/2176*(2*x + 3)^(17/2) - 1173/640*(2*x + 3)^(15/2) + 10475/1664*(2*x + 3)^(13/2) - 17201/1408*(2*x + 3)^(11/2) + 5335/384*(2*x + 3)^(9/2) - 7925/896*(2*x + 3)^(7/2) + 325/128*(2*x + 3)^(5/2)","A",0
2545,1,73,0,0.671196," ","integrate((5-x)*(3*x^2+5*x+2)^3*(3+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{27}{2176} \, {\left(2 \, x + 3\right)}^{\frac{17}{2}} + \frac{189}{640} \, {\left(2 \, x + 3\right)}^{\frac{15}{2}} - \frac{3519}{1664} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} + \frac{10475}{1408} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} - \frac{17201}{1152} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + \frac{16005}{896} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - \frac{1585}{128} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{1625}{384} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}}"," ",0,"-27/2176*(2*x + 3)^(17/2) + 189/640*(2*x + 3)^(15/2) - 3519/1664*(2*x + 3)^(13/2) + 10475/1408*(2*x + 3)^(11/2) - 17201/1152*(2*x + 3)^(9/2) + 16005/896*(2*x + 3)^(7/2) - 1585/128*(2*x + 3)^(5/2) + 1625/384*(2*x + 3)^(3/2)","A",0
2546,1,73,0,0.513872," ","integrate((5-x)*(3*x^2+5*x+2)^3/(3+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{9}{640} \, {\left(2 \, x + 3\right)}^{\frac{15}{2}} + \frac{567}{1664} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} - \frac{3519}{1408} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + \frac{10475}{1152} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} - \frac{17201}{896} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + \frac{3201}{128} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} - \frac{7925}{384} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + \frac{1625}{128} \, \sqrt{2 \, x + 3}"," ",0,"-9/640*(2*x + 3)^(15/2) + 567/1664*(2*x + 3)^(13/2) - 3519/1408*(2*x + 3)^(11/2) + 10475/1152*(2*x + 3)^(9/2) - 17201/896*(2*x + 3)^(7/2) + 3201/128*(2*x + 3)^(5/2) - 7925/384*(2*x + 3)^(3/2) + 1625/128*sqrt(2*x + 3)","A",0
2547,1,73,0,0.505108," ","integrate((5-x)*(3*x^2+5*x+2)^3/(3+2*x)^(3/2),x, algorithm=""maxima"")","-\frac{27}{1664} \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} + \frac{567}{1408} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} - \frac{391}{128} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + \frac{10475}{896} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - \frac{17201}{640} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{5335}{128} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - \frac{7925}{128} \, \sqrt{2 \, x + 3} - \frac{1625}{128 \, \sqrt{2 \, x + 3}}"," ",0,"-27/1664*(2*x + 3)^(13/2) + 567/1408*(2*x + 3)^(11/2) - 391/128*(2*x + 3)^(9/2) + 10475/896*(2*x + 3)^(7/2) - 17201/640*(2*x + 3)^(5/2) + 5335/128*(2*x + 3)^(3/2) - 7925/128*sqrt(2*x + 3) - 1625/128/sqrt(2*x + 3)","A",0
2548,1,69,0,0.559255," ","integrate((5-x)*(3*x^2+5*x+2)^3/(3+2*x)^(5/2),x, algorithm=""maxima"")","-\frac{27}{1408} \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + \frac{63}{128} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} - \frac{3519}{896} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + \frac{2095}{128} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} - \frac{17201}{384} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + \frac{16005}{128} \, \sqrt{2 \, x + 3} + \frac{25 \, {\left(951 \, x + 1394\right)}}{192 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}}}"," ",0,"-27/1408*(2*x + 3)^(11/2) + 63/128*(2*x + 3)^(9/2) - 3519/896*(2*x + 3)^(7/2) + 2095/128*(2*x + 3)^(5/2) - 17201/384*(2*x + 3)^(3/2) + 16005/128*sqrt(2*x + 3) + 25/192*(951*x + 1394)/(2*x + 3)^(3/2)","A",0
2549,1,69,0,0.489019," ","integrate((5-x)*(3*x^2+5*x+2)^3/(3+2*x)^(7/2),x, algorithm=""maxima"")","-\frac{3}{128} \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + \frac{81}{128} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - \frac{3519}{640} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{10475}{384} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - \frac{17201}{128} \, \sqrt{2 \, x + 3} - \frac{5 \, {\left(9603 \, {\left(2 \, x + 3\right)}^{2} - 3170 \, x - 4560\right)}}{384 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}}}"," ",0,"-3/128*(2*x + 3)^(9/2) + 81/128*(2*x + 3)^(7/2) - 3519/640*(2*x + 3)^(5/2) + 10475/384*(2*x + 3)^(3/2) - 17201/128*sqrt(2*x + 3) - 5/384*(9603*(2*x + 3)^2 - 3170*x - 4560)/(2*x + 3)^(5/2)","A",0
2550,1,97,0,1.219448," ","integrate((5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{2}{21} \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + \frac{62}{45} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{526}{81} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + \frac{2125}{243} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{3278}{81} \, \sqrt{2 \, x + 3} + 6 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 6 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-2/21*(2*x + 3)^(7/2) + 62/45*(2*x + 3)^(5/2) + 526/81*(2*x + 3)^(3/2) + 2125/243*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 3278/81*sqrt(2*x + 3) + 6*log(sqrt(2*x + 3) + 1) - 6*log(sqrt(2*x + 3) - 1)","A",0
2551,1,88,0,1.125779," ","integrate((5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{2}{15} \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + \frac{62}{27} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + \frac{425}{81} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{526}{27} \, \sqrt{2 \, x + 3} + 6 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 6 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-2/15*(2*x + 3)^(5/2) + 62/27*(2*x + 3)^(3/2) + 425/81*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 526/27*sqrt(2*x + 3) + 6*log(sqrt(2*x + 3) + 1) - 6*log(sqrt(2*x + 3) - 1)","A",0
2552,1,79,0,1.200005," ","integrate((5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2),x, algorithm=""maxima"")","-\frac{2}{9} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + \frac{85}{27} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{62}{9} \, \sqrt{2 \, x + 3} + 6 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 6 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-2/9*(2*x + 3)^(3/2) + 85/27*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 62/9*sqrt(2*x + 3) + 6*log(sqrt(2*x + 3) + 1) - 6*log(sqrt(2*x + 3) - 1)","A",0
2553,1,70,0,1.295913," ","integrate((5-x)*(3+2*x)^(1/2)/(3*x^2+5*x+2),x, algorithm=""maxima"")","\frac{17}{9} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{2}{3} \, \sqrt{2 \, x + 3} + 6 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 6 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"17/9*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 2/3*sqrt(2*x + 3) + 6*log(sqrt(2*x + 3) + 1) - 6*log(sqrt(2*x + 3) - 1)","A",0
2554,1,61,0,1.183655," ","integrate((5-x)/(3*x^2+5*x+2)/(3+2*x)^(1/2),x, algorithm=""maxima"")","\frac{17}{15} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + 6 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 6 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"17/15*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 6*log(sqrt(2*x + 3) + 1) - 6*log(sqrt(2*x + 3) - 1)","B",0
2555,1,70,0,1.372613," ","integrate((5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2),x, algorithm=""maxima"")","\frac{17}{25} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{26}{5 \, \sqrt{2 \, x + 3}} + 6 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 6 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"17/25*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 26/5/sqrt(2*x + 3) + 6*log(sqrt(2*x + 3) + 1) - 6*log(sqrt(2*x + 3) - 1)","A",0
2556,1,75,0,1.205068," ","integrate((5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2),x, algorithm=""maxima"")","\frac{51}{125} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{4 \, {\left(297 \, x + 478\right)}}{75 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}}} + 6 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 6 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"51/125*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 4/75*(297*x + 478)/(2*x + 3)^(3/2) + 6*log(sqrt(2*x + 3) + 1) - 6*log(sqrt(2*x + 3) - 1)","A",0
2557,1,84,0,1.035193," ","integrate((5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2),x, algorithm=""maxima"")","\frac{153}{625} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{2 \, {\left(597 \, {\left(2 \, x + 3\right)}^{2} + 330 \, x + 560\right)}}{125 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}}} + 6 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 6 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"153/625*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 2/125*(597*(2*x + 3)^2 + 330*x + 560)/(2*x + 3)^(5/2) + 6*log(sqrt(2*x + 3) + 1) - 6*log(sqrt(2*x + 3) - 1)","A",0
2558,1,116,0,1.228188," ","integrate((5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{8}{27} \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - \frac{1400}{81} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{184}{27} \, \sqrt{2 \, x + 3} - \frac{2 \, {\left(2611 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 2935 \, \sqrt{2 \, x + 3}\right)}}{27 \, {\left(3 \, {\left(2 \, x + 3\right)}^{2} - 16 \, x - 19\right)}} - 77 \, \log\left(\sqrt{2 \, x + 3} + 1\right) + 77 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-8/27*(2*x + 3)^(3/2) - 1400/81*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 184/27*sqrt(2*x + 3) - 2/27*(2611*(2*x + 3)^(3/2) - 2935*sqrt(2*x + 3))/(3*(2*x + 3)^2 - 16*x - 19) - 77*log(sqrt(2*x + 3) + 1) + 77*log(sqrt(2*x + 3) - 1)","A",0
2559,1,107,0,1.386477," ","integrate((5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{50}{3} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{8}{9} \, \sqrt{2 \, x + 3} - \frac{2 \, {\left(587 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 695 \, \sqrt{2 \, x + 3}\right)}}{9 \, {\left(3 \, {\left(2 \, x + 3\right)}^{2} - 16 \, x - 19\right)}} - 65 \, \log\left(\sqrt{2 \, x + 3} + 1\right) + 65 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-50/3*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 8/9*sqrt(2*x + 3) - 2/9*(587*(2*x + 3)^(3/2) - 695*sqrt(2*x + 3))/(3*(2*x + 3)^2 - 16*x - 19) - 65*log(sqrt(2*x + 3) + 1) + 65*log(sqrt(2*x + 3) - 1)","A",0
2560,1,98,0,1.365914," ","integrate((5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{124}{9} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{2 \, {\left(139 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 175 \, \sqrt{2 \, x + 3}\right)}}{3 \, {\left(3 \, {\left(2 \, x + 3\right)}^{2} - 16 \, x - 19\right)}} - 53 \, \log\left(\sqrt{2 \, x + 3} + 1\right) + 53 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-124/9*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 2/3*(139*(2*x + 3)^(3/2) - 175*sqrt(2*x + 3))/(3*(2*x + 3)^2 - 16*x - 19) - 53*log(sqrt(2*x + 3) + 1) + 53*log(sqrt(2*x + 3) - 1)","A",0
2561,1,98,0,1.120977," ","integrate((5-x)*(3+2*x)^(1/2)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{158}{15} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{2 \, {\left(35 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 47 \, \sqrt{2 \, x + 3}\right)}}{3 \, {\left(2 \, x + 3\right)}^{2} - 16 \, x - 19} - 41 \, \log\left(\sqrt{2 \, x + 3} + 1\right) + 41 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-158/15*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 2*(35*(2*x + 3)^(3/2) - 47*sqrt(2*x + 3))/(3*(2*x + 3)^2 - 16*x - 19) - 41*log(sqrt(2*x + 3) + 1) + 41*log(sqrt(2*x + 3) - 1)","A",0
2562,1,98,0,1.208071," ","integrate((5-x)/(3*x^2+5*x+2)^2/(3+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{192}{25} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{6 \, {\left(47 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 67 \, \sqrt{2 \, x + 3}\right)}}{5 \, {\left(3 \, {\left(2 \, x + 3\right)}^{2} - 16 \, x - 19\right)}} - 29 \, \log\left(\sqrt{2 \, x + 3} + 1\right) + 29 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-192/25*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 6/5*(47*(2*x + 3)^(3/2) - 67*sqrt(2*x + 3))/(3*(2*x + 3)^2 - 16*x - 19) - 29*log(sqrt(2*x + 3) + 1) + 29*log(sqrt(2*x + 3) - 1)","A",0
2563,1,107,0,1.226542," ","integrate((5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{678}{125} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{2 \, {\left(759 \, {\left(2 \, x + 3\right)}^{2} - 2638 \, x - 3697\right)}}{25 \, {\left(3 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} - 8 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + 5 \, \sqrt{2 \, x + 3}\right)}} - 17 \, \log\left(\sqrt{2 \, x + 3} + 1\right) + 17 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-678/125*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 2/25*(759*(2*x + 3)^2 - 2638*x - 3697)/(3*(2*x + 3)^(5/2) - 8*(2*x + 3)^(3/2) + 5*sqrt(2*x + 3)) - 17*log(sqrt(2*x + 3) + 1) + 17*log(sqrt(2*x + 3) - 1)","A",0
2564,1,116,0,1.172761," ","integrate((5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{468}{125} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{2 \, {\left(3087 \, {\left(2 \, x + 3\right)}^{3} - 6267 \, {\left(2 \, x + 3\right)}^{2} + 4040 \, x + 6320\right)}}{75 \, {\left(3 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - 8 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + 5 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}}\right)}} - 5 \, \log\left(\sqrt{2 \, x + 3} + 1\right) + 5 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-468/125*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 2/75*(3087*(2*x + 3)^3 - 6267*(2*x + 3)^2 + 4040*x + 6320)/(3*(2*x + 3)^(7/2) - 8*(2*x + 3)^(5/2) + 5*(2*x + 3)^(3/2)) - 5*log(sqrt(2*x + 3) + 1) + 5*log(sqrt(2*x + 3) - 1)","A",0
2565,1,125,0,1.312622," ","integrate((5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{7938}{3125} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{2 \, {\left(110817 \, {\left(2 \, x + 3\right)}^{4} - 242697 \, {\left(2 \, x + 3\right)}^{3} + 91420 \, {\left(2 \, x + 3\right)}^{2} + 28120 \, x + 46080\right)}}{1875 \, {\left(3 \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} - 8 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + 5 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}}\right)}} + 7 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 7 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"-7938/3125*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 2/1875*(110817*(2*x + 3)^4 - 242697*(2*x + 3)^3 + 91420*(2*x + 3)^2 + 28120*x + 46080)/(3*(2*x + 3)^(9/2) - 8*(2*x + 3)^(7/2) + 5*(2*x + 3)^(5/2)) + 7*log(sqrt(2*x + 3) + 1) - 7*log(sqrt(2*x + 3) - 1)","A",0
2566,1,143,0,1.381333," ","integrate((5-x)*(3+2*x)^(9/2)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{13675}{54} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{32}{27} \, \sqrt{2 \, x + 3} + \frac{137169 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - 554983 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + 717035 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 297925 \, \sqrt{2 \, x + 3}}{27 \, {\left(9 \, {\left(2 \, x + 3\right)}^{4} - 48 \, {\left(2 \, x + 3\right)}^{3} + 94 \, {\left(2 \, x + 3\right)}^{2} - 160 \, x - 215\right)}} + 981 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 981 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"13675/54*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 32/27*sqrt(2*x + 3) + 1/27*(137169*(2*x + 3)^(7/2) - 554983*(2*x + 3)^(5/2) + 717035*(2*x + 3)^(3/2) - 297925*sqrt(2*x + 3))/(9*(2*x + 3)^4 - 48*(2*x + 3)^3 + 94*(2*x + 3)^2 - 160*x - 215) + 981*log(sqrt(2*x + 3) + 1) - 981*log(sqrt(2*x + 3) - 1)","A",0
2567,1,134,0,1.290987," ","integrate((5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{1225}{6} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{12443 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - 50029 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + 64505 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 26775 \, \sqrt{2 \, x + 3}}{3 \, {\left(9 \, {\left(2 \, x + 3\right)}^{4} - 48 \, {\left(2 \, x + 3\right)}^{3} + 94 \, {\left(2 \, x + 3\right)}^{2} - 160 \, x - 215\right)}} + 791 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 791 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"1225/6*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 1/3*(12443*(2*x + 3)^(7/2) - 50029*(2*x + 3)^(5/2) + 64505*(2*x + 3)^(3/2) - 26775*sqrt(2*x + 3))/(9*(2*x + 3)^4 - 48*(2*x + 3)^3 + 94*(2*x + 3)^2 - 160*x - 215) + 791*log(sqrt(2*x + 3) + 1) - 791*log(sqrt(2*x + 3) - 1)","A",0
2568,1,134,0,1.358418," ","integrate((5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{2905}{18} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{9825 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - 39431 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + 50875 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 21125 \, \sqrt{2 \, x + 3}}{3 \, {\left(9 \, {\left(2 \, x + 3\right)}^{4} - 48 \, {\left(2 \, x + 3\right)}^{3} + 94 \, {\left(2 \, x + 3\right)}^{2} - 160 \, x - 215\right)}} + 625 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 625 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"2905/18*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 1/3*(9825*(2*x + 3)^(7/2) - 39431*(2*x + 3)^(5/2) + 50875*(2*x + 3)^(3/2) - 21125*sqrt(2*x + 3))/(9*(2*x + 3)^4 - 48*(2*x + 3)^3 + 94*(2*x + 3)^2 - 160*x - 215) + 625*log(sqrt(2*x + 3) + 1) - 625*log(sqrt(2*x + 3) - 1)","A",0
2569,1,133,0,1.312225," ","integrate((5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{1247}{10} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{2529 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - 10151 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + 13115 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 5445 \, \sqrt{2 \, x + 3}}{9 \, {\left(2 \, x + 3\right)}^{4} - 48 \, {\left(2 \, x + 3\right)}^{3} + 94 \, {\left(2 \, x + 3\right)}^{2} - 160 \, x - 215} + 483 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 483 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"1247/10*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + (2529*(2*x + 3)^(7/2) - 10151*(2*x + 3)^(5/2) + 13115*(2*x + 3)^(3/2) - 5445*sqrt(2*x + 3))/(9*(2*x + 3)^4 - 48*(2*x + 3)^3 + 94*(2*x + 3)^2 - 160*x - 215) + 483*log(sqrt(2*x + 3) + 1) - 483*log(sqrt(2*x + 3) - 1)","A",0
2570,1,134,0,1.055024," ","integrate((5-x)*(3+2*x)^(1/2)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{4713}{50} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{9567 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - 38409 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + 49637 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 20555 \, \sqrt{2 \, x + 3}}{5 \, {\left(9 \, {\left(2 \, x + 3\right)}^{4} - 48 \, {\left(2 \, x + 3\right)}^{3} + 94 \, {\left(2 \, x + 3\right)}^{2} - 160 \, x - 215\right)}} + 365 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 365 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"4713/50*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 1/5*(9567*(2*x + 3)^(7/2) - 38409*(2*x + 3)^(5/2) + 49637*(2*x + 3)^(3/2) - 20555*sqrt(2*x + 3))/(9*(2*x + 3)^4 - 48*(2*x + 3)^3 + 94*(2*x + 3)^2 - 160*x - 215) + 365*log(sqrt(2*x + 3) + 1) - 365*log(sqrt(2*x + 3) - 1)","A",0
2571,1,134,0,0.961231," ","integrate((5-x)/(3*x^2+5*x+2)^3/(3+2*x)^(1/2),x, algorithm=""maxima"")","\frac{17463}{250} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{35217 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - 141159 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + 181867 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} - 74725 \, \sqrt{2 \, x + 3}}{25 \, {\left(9 \, {\left(2 \, x + 3\right)}^{4} - 48 \, {\left(2 \, x + 3\right)}^{3} + 94 \, {\left(2 \, x + 3\right)}^{2} - 160 \, x - 215\right)}} + 271 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 271 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"17463/250*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 1/25*(35217*(2*x + 3)^(7/2) - 141159*(2*x + 3)^(5/2) + 181867*(2*x + 3)^(3/2) - 74725*sqrt(2*x + 3))/(9*(2*x + 3)^4 - 48*(2*x + 3)^3 + 94*(2*x + 3)^2 - 160*x - 215) + 271*log(sqrt(2*x + 3) + 1) - 271*log(sqrt(2*x + 3) - 1)","A",0
2572,1,143,0,0.993746," ","integrate((5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{12717}{250} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{24003 \, {\left(2 \, x + 3\right)}^{4} - 94581 \, {\left(2 \, x + 3\right)}^{3} + 117873 \, {\left(2 \, x + 3\right)}^{2} - 88030 \, x - 134125}{25 \, {\left(9 \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} - 48 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + 94 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} - 80 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}} + 25 \, \sqrt{2 \, x + 3}\right)}} + 201 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 201 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"12717/250*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 1/25*(24003*(2*x + 3)^4 - 94581*(2*x + 3)^3 + 117873*(2*x + 3)^2 - 88030*x - 134125)/(9*(2*x + 3)^(9/2) - 48*(2*x + 3)^(7/2) + 94*(2*x + 3)^(5/2) - 80*(2*x + 3)^(3/2) + 25*sqrt(2*x + 3)) + 201*log(sqrt(2*x + 3) + 1) - 201*log(sqrt(2*x + 3) - 1)","A",0
2573,1,152,0,0.982116," ","integrate((5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{45603}{1250} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) + \frac{185031 \, {\left(2 \, x + 3\right)}^{5} - 651537 \, {\left(2 \, x + 3\right)}^{4} + 619101 \, {\left(2 \, x + 3\right)}^{3} - 10115 \, {\left(2 \, x + 3\right)}^{2} - 228160 \, x - 352640}{375 \, {\left(9 \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} - 48 \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} + 94 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} - 80 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}} + 25 \, {\left(2 \, x + 3\right)}^{\frac{3}{2}}\right)}} + 155 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 155 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"45603/1250*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) + 1/375*(185031*(2*x + 3)^5 - 651537*(2*x + 3)^4 + 619101*(2*x + 3)^3 - 10115*(2*x + 3)^2 - 228160*x - 352640)/(9*(2*x + 3)^(11/2) - 48*(2*x + 3)^(9/2) + 94*(2*x + 3)^(7/2) - 80*(2*x + 3)^(5/2) + 25*(2*x + 3)^(3/2)) + 155*log(sqrt(2*x + 3) + 1) - 155*log(sqrt(2*x + 3) - 1)","A",0
2574,1,161,0,0.976497," ","integrate((5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2)^3,x, algorithm=""maxima"")","\frac{806841}{31250} \, \sqrt{15} \log\left(-\frac{\sqrt{15} - 3 \, \sqrt{2 \, x + 3}}{\sqrt{15} + 3 \, \sqrt{2 \, x + 3}}\right) - \frac{659043 \, {\left(2 \, x + 3\right)}^{6} - 8136261 \, {\left(2 \, x + 3\right)}^{5} + 23916753 \, {\left(2 \, x + 3\right)}^{4} - 24720095 \, {\left(2 \, x + 3\right)}^{3} + 6945760 \, {\left(2 \, x + 3\right)}^{2} + 1457600 \, x + 2342400}{9375 \, {\left(9 \, {\left(2 \, x + 3\right)}^{\frac{13}{2}} - 48 \, {\left(2 \, x + 3\right)}^{\frac{11}{2}} + 94 \, {\left(2 \, x + 3\right)}^{\frac{9}{2}} - 80 \, {\left(2 \, x + 3\right)}^{\frac{7}{2}} + 25 \, {\left(2 \, x + 3\right)}^{\frac{5}{2}}\right)}} + 133 \, \log\left(\sqrt{2 \, x + 3} + 1\right) - 133 \, \log\left(\sqrt{2 \, x + 3} - 1\right)"," ",0,"806841/31250*sqrt(15)*log(-(sqrt(15) - 3*sqrt(2*x + 3))/(sqrt(15) + 3*sqrt(2*x + 3))) - 1/9375*(659043*(2*x + 3)^6 - 8136261*(2*x + 3)^5 + 23916753*(2*x + 3)^4 - 24720095*(2*x + 3)^3 + 6945760*(2*x + 3)^2 + 1457600*x + 2342400)/(9*(2*x + 3)^(13/2) - 48*(2*x + 3)^(11/2) + 94*(2*x + 3)^(9/2) - 80*(2*x + 3)^(7/2) + 25*(2*x + 3)^(5/2)) + 133*log(sqrt(2*x + 3) + 1) - 133*log(sqrt(2*x + 3) - 1)","A",0
2575,0,0,0,0.000000," ","integrate((5+10*x+35^(1/2))/(5*x^2+3*x+2)/(1+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{10 \, x + \sqrt{35} + 5}{{\left(5 \, x^{2} + 3 \, x + 2\right)} \sqrt{2 \, x + 1}}\,{d x}"," ",0,"integrate((10*x + sqrt(35) + 5)/((5*x^2 + 3*x + 2)*sqrt(2*x + 1)), x)","F",0
2576,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(2 \, x + 3\right)}^{\frac{5}{2}} {\left(x - 5\right)}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(2*x + 3)^(5/2)*(x - 5), x)","F",0
2577,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(2 \, x + 3\right)}^{\frac{3}{2}} {\left(x - 5\right)}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(2*x + 3)^(3/2)*(x - 5), x)","F",0
2578,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(1/2)*(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \sqrt{3 \, x^{2} + 5 \, x + 2} \sqrt{2 \, x + 3} {\left(x - 5\right)}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*sqrt(2*x + 3)*(x - 5), x)","F",0
2579,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^(1/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(x - 5\right)}}{\sqrt{2 \, x + 3}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(x - 5)/sqrt(2*x + 3), x)","F",0
2580,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^(3/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(x - 5)/(2*x + 3)^(3/2), x)","F",0
2581,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^(5/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(x - 5)/(2*x + 3)^(5/2), x)","F",0
2582,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^(7/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(x - 5)/(2*x + 3)^(7/2), x)","F",0
2583,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(1/2)/(3+2*x)^(9/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"-integrate(sqrt(3*x^2 + 5*x + 2)*(x - 5)/(2*x + 3)^(9/2), x)","F",0
2584,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(2 \, x + 3\right)}^{\frac{5}{2}} {\left(x - 5\right)}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(2*x + 3)^(5/2)*(x - 5), x)","F",0
2585,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(2 \, x + 3\right)}^{\frac{3}{2}} {\left(x - 5\right)}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(2*x + 3)^(3/2)*(x - 5), x)","F",0
2586,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)*(3+2*x)^(1/2),x, algorithm=""maxima"")","-\int {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} \sqrt{2 \, x + 3} {\left(x - 5\right)}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*sqrt(2*x + 3)*(x - 5), x)","F",0
2587,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(1/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{\sqrt{2 \, x + 3}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(x - 5)/sqrt(2*x + 3), x)","F",0
2588,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(x - 5)/(2*x + 3)^(3/2), x)","F",0
2589,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(x - 5)/(2*x + 3)^(5/2), x)","F",0
2590,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(7/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(x - 5)/(2*x + 3)^(7/2), x)","F",0
2591,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(9/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(x - 5)/(2*x + 3)^(9/2), x)","F",0
2592,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(11/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(x - 5)/(2*x + 3)^(11/2), x)","F",0
2593,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(3/2)/(3+2*x)^(13/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(3/2)*(x - 5)/(2*x + 3)^(13/2), x)","F",0
2594,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(5/2)*(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(2 \, x + 3\right)}^{\frac{5}{2}} {\left(x - 5\right)}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(2*x + 3)^(5/2)*(x - 5), x)","F",0
2595,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(3/2)*(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(2 \, x + 3\right)}^{\frac{3}{2}} {\left(x - 5\right)}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(2*x + 3)^(3/2)*(x - 5), x)","F",0
2596,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)*(3+2*x)^(1/2),x, algorithm=""maxima"")","-\int {\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} \sqrt{2 \, x + 3} {\left(x - 5\right)}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*sqrt(2*x + 3)*(x - 5), x)","F",0
2597,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(1/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{\sqrt{2 \, x + 3}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(x - 5)/sqrt(2*x + 3), x)","F",0
2598,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(x - 5)/(2*x + 3)^(3/2), x)","F",0
2599,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(x - 5)/(2*x + 3)^(5/2), x)","F",0
2600,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(7/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(x - 5)/(2*x + 3)^(7/2), x)","F",0
2601,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(9/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(x - 5)/(2*x + 3)^(9/2), x)","F",0
2602,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(11/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(x - 5)/(2*x + 3)^(11/2), x)","F",0
2603,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(13/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(x - 5)/(2*x + 3)^(13/2), x)","F",0
2604,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(15/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{15}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(x - 5)/(2*x + 3)^(15/2), x)","F",0
2605,0,0,0,0.000000," ","integrate((5-x)*(3*x^2+5*x+2)^(5/2)/(3+2*x)^(17/2),x, algorithm=""maxima"")","-\int \frac{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(2 \, x + 3\right)}^{\frac{17}{2}}}\,{d x}"," ",0,"-integrate((3*x^2 + 5*x + 2)^(5/2)*(x - 5)/(2*x + 3)^(17/2), x)","F",0
2606,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x + 3\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{\sqrt{3 \, x^{2} + 5 \, x + 2}}\,{d x}"," ",0,"-integrate((2*x + 3)^(5/2)*(x - 5)/sqrt(3*x^2 + 5*x + 2), x)","F",0
2607,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x + 3\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{\sqrt{3 \, x^{2} + 5 \, x + 2}}\,{d x}"," ",0,"-integrate((2*x + 3)^(3/2)*(x - 5)/sqrt(3*x^2 + 5*x + 2), x)","F",0
2608,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(1/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{2 \, x + 3} {\left(x - 5\right)}}{\sqrt{3 \, x^{2} + 5 \, x + 2}}\,{d x}"," ",0,"-integrate(sqrt(2*x + 3)*(x - 5)/sqrt(3*x^2 + 5*x + 2), x)","F",0
2609,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(1/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{\sqrt{3 \, x^{2} + 5 \, x + 2} \sqrt{2 \, x + 3}}\,{d x}"," ",0,"-integrate((x - 5)/(sqrt(3*x^2 + 5*x + 2)*sqrt(2*x + 3)), x)","F",0
2610,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(2 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((x - 5)/(sqrt(3*x^2 + 5*x + 2)*(2*x + 3)^(3/2)), x)","F",0
2611,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(2 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((x - 5)/(sqrt(3*x^2 + 5*x + 2)*(2*x + 3)^(5/2)), x)","F",0
2612,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{\sqrt{3 \, x^{2} + 5 \, x + 2} {\left(2 \, x + 3\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate((x - 5)/(sqrt(3*x^2 + 5*x + 2)*(2*x + 3)^(7/2)), x)","F",0
2613,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x + 3\right)}^{\frac{7}{2}} {\left(x - 5\right)}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((2*x + 3)^(7/2)*(x - 5)/(3*x^2 + 5*x + 2)^(3/2), x)","F",0
2614,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x + 3\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((2*x + 3)^(5/2)*(x - 5)/(3*x^2 + 5*x + 2)^(3/2), x)","F",0
2615,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x + 3\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((2*x + 3)^(3/2)*(x - 5)/(3*x^2 + 5*x + 2)^(3/2), x)","F",0
2616,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(1/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{2 \, x + 3} {\left(x - 5\right)}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate(sqrt(2*x + 3)*(x - 5)/(3*x^2 + 5*x + 2)^(3/2), x)","F",0
2617,0,0,0,0.000000," ","integrate((5-x)/(3*x^2+5*x+2)^(3/2)/(3+2*x)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} \sqrt{2 \, x + 3}}\,{d x}"," ",0,"-integrate((x - 5)/((3*x^2 + 5*x + 2)^(3/2)*sqrt(2*x + 3)), x)","F",0
2618,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(2 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((x - 5)/((3*x^2 + 5*x + 2)^(3/2)*(2*x + 3)^(3/2)), x)","F",0
2619,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(2 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((x - 5)/((3*x^2 + 5*x + 2)^(3/2)*(2*x + 3)^(5/2)), x)","F",0
2620,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2)^(3/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{3}{2}} {\left(2 \, x + 3\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate((x - 5)/((3*x^2 + 5*x + 2)^(3/2)*(2*x + 3)^(7/2)), x)","F",0
2621,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(9/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x + 3\right)}^{\frac{9}{2}} {\left(x - 5\right)}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((2*x + 3)^(9/2)*(x - 5)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
2622,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(7/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x + 3\right)}^{\frac{7}{2}} {\left(x - 5\right)}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((2*x + 3)^(7/2)*(x - 5)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
2623,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(5/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x + 3\right)}^{\frac{5}{2}} {\left(x - 5\right)}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((2*x + 3)^(5/2)*(x - 5)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
2624,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(3/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x + 3\right)}^{\frac{3}{2}} {\left(x - 5\right)}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((2*x + 3)^(3/2)*(x - 5)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
2625,0,0,0,0.000000," ","integrate((5-x)*(3+2*x)^(1/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{2 \, x + 3} {\left(x - 5\right)}}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate(sqrt(2*x + 3)*(x - 5)/(3*x^2 + 5*x + 2)^(5/2), x)","F",0
2626,0,0,0,0.000000," ","integrate((5-x)/(3*x^2+5*x+2)^(5/2)/(3+2*x)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} \sqrt{2 \, x + 3}}\,{d x}"," ",0,"-integrate((x - 5)/((3*x^2 + 5*x + 2)^(5/2)*sqrt(2*x + 3)), x)","F",0
2627,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(3/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(2 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-integrate((x - 5)/((3*x^2 + 5*x + 2)^(5/2)*(2*x + 3)^(3/2)), x)","F",0
2628,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(5/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(2 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-integrate((x - 5)/((3*x^2 + 5*x + 2)^(5/2)*(2*x + 3)^(5/2)), x)","F",0
2629,0,0,0,0.000000," ","integrate((5-x)/(3+2*x)^(7/2)/(3*x^2+5*x+2)^(5/2),x, algorithm=""maxima"")","-\int \frac{x - 5}{{\left(3 \, x^{2} + 5 \, x + 2\right)}^{\frac{5}{2}} {\left(2 \, x + 3\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"-integrate((x - 5)/((3*x^2 + 5*x + 2)^(5/2)*(2*x + 3)^(7/2)), x)","F",0
2630,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(3/2)/sqrt(c*x^2 + b*x + a), x)","F",0
2631,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/sqrt(c*x^2 + b*x + a), x)","F",0
2632,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x + a} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x + a)*sqrt(e*x + d)), x)","F",0
2633,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x + a)*(e*x + d)^(3/2)), x)","F",0
2634,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(c*x^2 + b*x + a)*(e*x + d)^(5/2)), x)","F",0
2635,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(5/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
2636,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(3/2)/(c*x^2 + b*x + a)^(3/2), x)","F",0
2637,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} \sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)*sqrt(e*x + d)/(c*x^2 + b*x + a)^(3/2), x)","F",0
2638,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} \sqrt{e x + d}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x + a)^(3/2)*sqrt(e*x + d)), x)","F",0
2639,0,0,0,0.000000," ","integrate((B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{B x + A}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x + A)/((c*x^2 + b*x + a)^(3/2)*(e*x + d)^(3/2)), x)","F",0
2640,1,2662,0,0.898772," ","integrate((B*x+A)*(e*x+d)^m*(c*x^2+b*x+a)^3,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 a^{3}}{{\left(m^{2} + 3 \, m + 2\right)} e^{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 a^{2} b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} A 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} B a^{2} b}{{\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 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 a^{2} c}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{3 \, {\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 a b^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \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 b^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{3 \, {\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 a^{2} c}{{\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 a 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 b^{3}}{{\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} B a b 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 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 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 b^{2} c}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \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 a c^{2}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \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 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{3 \, {\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 b 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{{\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{{\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}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*B*a^3/((m^2 + 3*m + 2)*e^2) + 3*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*A*a^2*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*A*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*B*a^2*b/((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*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*a^2*c/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 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*a*b^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*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*A*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 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*a^2*c/((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*a*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*b^3/((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*B*a*b*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*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*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*b^2*c/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 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*a*c^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 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*b*c^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 3*((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*b*c^2/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7) + ((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) + ((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)","B",0
2641,1,1118,0,0.658440," ","integrate((B*x+A)*(e*x+d)^m*(c*x^2+b*x+a)^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} B a^{2}}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \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 a b}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} A 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} B a b}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \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 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 a 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 b^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \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 a c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \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 b c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{2 \, {\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 b c}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \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} 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^{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}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*B*a^2/((m^2 + 3*m + 2)*e^2) + 2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*A*a*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*A*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*B*a*b/((m^3 + 6*m^2 + 11*m + 6)*e^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) + 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*a*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*b^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 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*a*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 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*b*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 2*((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*b*c/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + ((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^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)","B",0
2642,1,352,0,0.526952," ","integrate((B*x+A)*(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 a}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\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 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} B b}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \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 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 c}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*B*a/((m^2 + 3*m + 2)*e^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*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*B*b/((m^3 + 6*m^2 + 11*m + 6)*e^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/((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*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4)","B",0
2643,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^m/(c*x^2 + b*x + a), x)","F",0
2644,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^m/(c*x^2 + b*x + a)^2, x)","F",0
2645,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(1+m)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m + 1}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^(m + 1)/(c*x^2 + b*x + a), x)","F",0
2646,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{-2 \, p - 3}\,{d x}"," ",0,"integrate((B*x + A)*(c*x^2 + b*x + a)^p*(e*x + d)^(-2*p - 3), x)","F",0
