1,1,104,0,0.982910," ","integrate(x^2*(e*x+d)*(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\frac{d^{5} \arcsin\left(\frac{e x}{d}\right)}{8 \, e^{3}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{3} x}{8 \, e^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} x^{2}}{5 \, e} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d x}{4 \, e^{2}} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{15 \, e^{3}}"," ",0,"1/8*d^5*arcsin(e*x/d)/e^3 + 1/8*sqrt(-e^2*x^2 + d^2)*d^3*x/e^2 - 1/5*(-e^2*x^2 + d^2)^(3/2)*x^2/e - 1/4*(-e^2*x^2 + d^2)^(3/2)*d*x/e^2 - 2/15*(-e^2*x^2 + d^2)^(3/2)*d^2/e^3","A",0
2,1,177,0,0.988741," ","integrate(x^4*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x^{4}}{9 \, e} + \frac{3 \, d^{9} \arcsin\left(\frac{e x}{d}\right)}{128 \, e^{5}} + \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7} x}{128 \, e^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x^{3}}{8 \, e^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} x}{64 \, e^{4}} - \frac{4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} x^{2}}{63 \, e^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} x}{16 \, e^{4}} - \frac{8 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4}}{315 \, e^{5}}"," ",0,"-1/9*(-e^2*x^2 + d^2)^(5/2)*x^4/e + 3/128*d^9*arcsin(e*x/d)/e^5 + 3/128*sqrt(-e^2*x^2 + d^2)*d^7*x/e^4 - 1/8*(-e^2*x^2 + d^2)^(5/2)*d*x^3/e^2 + 1/64*(-e^2*x^2 + d^2)^(3/2)*d^5*x/e^4 - 4/63*(-e^2*x^2 + d^2)^(5/2)*d^2*x^2/e^3 - 1/16*(-e^2*x^2 + d^2)^(5/2)*d^3*x/e^4 - 8/315*(-e^2*x^2 + d^2)^(5/2)*d^4/e^5","A",0
3,1,152,0,0.976739," ","integrate(x^3*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\frac{3 \, d^{8} \arcsin\left(\frac{e x}{d}\right)}{128 \, e^{4}} + \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6} x}{128 \, e^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x^{3}}{8 \, e} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} x}{64 \, e^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x^{2}}{7 \, e^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} x}{16 \, e^{3}} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}}{35 \, e^{4}}"," ",0,"3/128*d^8*arcsin(e*x/d)/e^4 + 3/128*sqrt(-e^2*x^2 + d^2)*d^6*x/e^3 - 1/8*(-e^2*x^2 + d^2)^(5/2)*x^3/e + 1/64*(-e^2*x^2 + d^2)^(3/2)*d^4*x/e^3 - 1/7*(-e^2*x^2 + d^2)^(5/2)*d*x^2/e^2 - 1/16*(-e^2*x^2 + d^2)^(5/2)*d^2*x/e^3 - 2/35*(-e^2*x^2 + d^2)^(5/2)*d^3/e^4","A",0
4,1,127,0,0.948649," ","integrate(x^2*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\frac{d^{7} \arcsin\left(\frac{e x}{d}\right)}{16 \, e^{3}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{5} x}{16 \, e^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} x}{24 \, e^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x^{2}}{7 \, e} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x}{6 \, e^{2}} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}}{35 \, e^{3}}"," ",0,"1/16*d^7*arcsin(e*x/d)/e^3 + 1/16*sqrt(-e^2*x^2 + d^2)*d^5*x/e^2 + 1/24*(-e^2*x^2 + d^2)^(3/2)*d^3*x/e^2 - 1/7*(-e^2*x^2 + d^2)^(5/2)*x^2/e - 1/6*(-e^2*x^2 + d^2)^(5/2)*d*x/e^2 - 2/35*(-e^2*x^2 + d^2)^(5/2)*d^2/e^3","A",0
5,1,102,0,0.984349," ","integrate(x*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\frac{d^{6} \arcsin\left(\frac{e x}{d}\right)}{16 \, e^{2}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{4} x}{16 \, e} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} x}{24 \, e} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x}{6 \, e} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{5 \, e^{2}}"," ",0,"1/16*d^6*arcsin(e*x/d)/e^2 + 1/16*sqrt(-e^2*x^2 + d^2)*d^4*x/e + 1/24*(-e^2*x^2 + d^2)^(3/2)*d^2*x/e - 1/6*(-e^2*x^2 + d^2)^(5/2)*x/e - 1/5*(-e^2*x^2 + d^2)^(5/2)*d/e^2","A",0
6,1,102,0,0.980212," ","integrate(x*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\frac{d^{6} \arcsin\left(\frac{e x}{d}\right)}{16 \, e^{2}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{4} x}{16 \, e} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} x}{24 \, e} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x}{6 \, e} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{5 \, e^{2}}"," ",0,"1/16*d^6*arcsin(e*x/d)/e^2 + 1/16*sqrt(-e^2*x^2 + d^2)*d^4*x/e + 1/24*(-e^2*x^2 + d^2)^(3/2)*d^2*x/e - 1/6*(-e^2*x^2 + d^2)^(5/2)*x/e - 1/5*(-e^2*x^2 + d^2)^(5/2)*d/e^2","A",0
7,1,124,0,0.985194," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x,x, algorithm=""maxima"")","\frac{3}{8} \, d^{4} \arcsin\left(\frac{e x}{d}\right) - d^{4} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{3}{8} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e x + \sqrt{-e^{2} x^{2} + d^{2}} d^{3} + \frac{1}{4} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e x + \frac{1}{3} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d"," ",0,"3/8*d^4*arcsin(e*x/d) - d^4*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + 3/8*sqrt(-e^2*x^2 + d^2)*d^2*e*x + sqrt(-e^2*x^2 + d^2)*d^3 + 1/4*(-e^2*x^2 + d^2)^(3/2)*e*x + 1/3*(-e^2*x^2 + d^2)^(3/2)*d","A",0
8,1,129,0,0.989593," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^2,x, algorithm=""maxima"")","-\frac{3}{2} \, d^{3} e \arcsin\left(\frac{e x}{d}\right) - d^{3} e \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{3}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{2} x + \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e + \frac{1}{3} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{x}"," ",0,"-3/2*d^3*e*arcsin(e*x/d) - d^3*e*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 3/2*sqrt(-e^2*x^2 + d^2)*d*e^2*x + sqrt(-e^2*x^2 + d^2)*d^2*e + 1/3*(-e^2*x^2 + d^2)^(3/2)*e - (-e^2*x^2 + d^2)^(3/2)*d/x","A",0
9,1,160,0,0.987884," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{3}{2} \, d^{2} e^{2} \arcsin\left(\frac{e x}{d}\right) + \frac{3}{2} \, d^{2} e^{2} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{3}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3} x - \frac{3}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{2} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{2 \, d} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{x} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{2 \, d x^{2}}"," ",0,"-3/2*d^2*e^2*arcsin(e*x/d) + 3/2*d^2*e^2*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 3/2*sqrt(-e^2*x^2 + d^2)*e^3*x - 3/2*sqrt(-e^2*x^2 + d^2)*d*e^2 - 1/2*(-e^2*x^2 + d^2)^(3/2)*e^2/d - (-e^2*x^2 + d^2)^(3/2)*e/x - 1/2*(-e^2*x^2 + d^2)^(5/2)/(d*x^2)","A",0
10,1,184,0,0.981511," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^4,x, algorithm=""maxima"")","d e^{3} \arcsin\left(\frac{e x}{d}\right) + \frac{3}{2} \, d e^{3} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{4} x}{d} - \frac{3}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}}{2 \, d^{2}} + \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{3 \, d x} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e}{2 \, d^{2} x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{3 \, d x^{3}}"," ",0,"d*e^3*arcsin(e*x/d) + 3/2*d*e^3*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + sqrt(-e^2*x^2 + d^2)*e^4*x/d - 3/2*sqrt(-e^2*x^2 + d^2)*e^3 - 1/2*(-e^2*x^2 + d^2)^(3/2)*e^3/d^2 + 2/3*(-e^2*x^2 + d^2)^(3/2)*e^2/(d*x) - 1/2*(-e^2*x^2 + d^2)^(5/2)*e/(d^2*x^2) - 1/3*(-e^2*x^2 + d^2)^(5/2)/(d*x^3)","A",0
11,1,210,0,0.983089," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^5,x, algorithm=""maxima"")","e^{4} \arcsin\left(\frac{e x}{d}\right) - \frac{3}{8} \, e^{4} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{5} x}{d^{2}} + \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{4}}{8 \, d} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}{8 \, d^{3}} + \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}}{3 \, d^{2} x} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}}{8 \, d^{3} x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e}{3 \, d^{2} x^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{4 \, d x^{4}}"," ",0,"e^4*arcsin(e*x/d) - 3/8*e^4*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + sqrt(-e^2*x^2 + d^2)*e^5*x/d^2 + 3/8*sqrt(-e^2*x^2 + d^2)*e^4/d + 1/8*(-e^2*x^2 + d^2)^(3/2)*e^4/d^3 + 2/3*(-e^2*x^2 + d^2)^(3/2)*e^3/(d^2*x) + 1/8*(-e^2*x^2 + d^2)^(5/2)*e^2/(d^3*x^2) - 1/3*(-e^2*x^2 + d^2)^(5/2)*e/(d^2*x^3) - 1/4*(-e^2*x^2 + d^2)^(5/2)/(d*x^4)","B",0
12,1,155,0,0.994038," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^6,x, algorithm=""maxima"")","-\frac{3 \, e^{5} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{8 \, d} + \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{5}}{8 \, d^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}}{8 \, d^{4}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}}{8 \, d^{4} x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e}{4 \, d^{2} x^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{5 \, d x^{5}}"," ",0,"-3/8*e^5*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d + 3/8*sqrt(-e^2*x^2 + d^2)*e^5/d^2 + 1/8*(-e^2*x^2 + d^2)^(3/2)*e^5/d^4 + 1/8*(-e^2*x^2 + d^2)^(5/2)*e^3/(d^4*x^2) - 1/4*(-e^2*x^2 + d^2)^(5/2)*e/(d^2*x^4) - 1/5*(-e^2*x^2 + d^2)^(5/2)/(d*x^5)","A",0
13,1,180,0,0.987911," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{e^{6} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{16 \, d^{2}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{6}}{16 \, d^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6}}{48 \, d^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}}{48 \, d^{5} x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}}{24 \, d^{3} x^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e}{5 \, d^{2} x^{5}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{6 \, d x^{6}}"," ",0,"-1/16*e^6*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^2 + 1/16*sqrt(-e^2*x^2 + d^2)*e^6/d^3 + 1/48*(-e^2*x^2 + d^2)^(3/2)*e^6/d^5 + 1/48*(-e^2*x^2 + d^2)^(5/2)*e^4/(d^5*x^2) - 1/24*(-e^2*x^2 + d^2)^(5/2)*e^2/(d^3*x^4) - 1/5*(-e^2*x^2 + d^2)^(5/2)*e/(d^2*x^5) - 1/6*(-e^2*x^2 + d^2)^(5/2)/(d*x^6)","A",0
14,1,205,0,0.989836," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^8,x, algorithm=""maxima"")","-\frac{e^{7} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{16 \, d^{3}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{7}}{16 \, d^{4}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{7}}{48 \, d^{6}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{5}}{48 \, d^{6} x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}}{24 \, d^{4} x^{4}} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}}{35 \, d^{3} x^{5}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e}{6 \, d^{2} x^{6}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{7 \, d x^{7}}"," ",0,"-1/16*e^7*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^3 + 1/16*sqrt(-e^2*x^2 + d^2)*e^7/d^4 + 1/48*(-e^2*x^2 + d^2)^(3/2)*e^7/d^6 + 1/48*(-e^2*x^2 + d^2)^(5/2)*e^5/(d^6*x^2) - 1/24*(-e^2*x^2 + d^2)^(5/2)*e^3/(d^4*x^4) - 2/35*(-e^2*x^2 + d^2)^(5/2)*e^2/(d^3*x^5) - 1/6*(-e^2*x^2 + d^2)^(5/2)*e/(d^2*x^6) - 1/7*(-e^2*x^2 + d^2)^(5/2)/(d*x^7)","A",0
15,1,230,0,0.994638," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^9,x, algorithm=""maxima"")","-\frac{3 \, e^{8} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{128 \, d^{4}} + \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{8}}{128 \, d^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{8}}{128 \, d^{7}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}{128 \, d^{7} x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}}{64 \, d^{5} x^{4}} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}}{35 \, d^{4} x^{5}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}}{16 \, d^{3} x^{6}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e}{7 \, d^{2} x^{7}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{8 \, d x^{8}}"," ",0,"-3/128*e^8*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^4 + 3/128*sqrt(-e^2*x^2 + d^2)*e^8/d^5 + 1/128*(-e^2*x^2 + d^2)^(3/2)*e^8/d^7 + 1/128*(-e^2*x^2 + d^2)^(5/2)*e^6/(d^7*x^2) - 1/64*(-e^2*x^2 + d^2)^(5/2)*e^4/(d^5*x^4) - 2/35*(-e^2*x^2 + d^2)^(5/2)*e^3/(d^4*x^5) - 1/16*(-e^2*x^2 + d^2)^(5/2)*e^2/(d^3*x^6) - 1/7*(-e^2*x^2 + d^2)^(5/2)*e/(d^2*x^7) - 1/8*(-e^2*x^2 + d^2)^(5/2)/(d*x^8)","A",0
16,1,81,0,0.985220," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}} x^{2}}{3 \, e} + \frac{d^{3} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{3}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d x}{2 \, e^{2}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{3 \, e^{3}}"," ",0,"-1/3*sqrt(-e^2*x^2 + d^2)*x^2/e + 1/2*d^3*arcsin(e*x/d)/e^3 - 1/2*sqrt(-e^2*x^2 + d^2)*d*x/e^2 - 2/3*sqrt(-e^2*x^2 + d^2)*d^2/e^3","A",0
17,1,78,0,0.979400," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","-\frac{x^{2}}{\sqrt{-e^{2} x^{2} + d^{2}} e} + \frac{d x}{\sqrt{-e^{2} x^{2} + d^{2}} e^{2}} - \frac{d \arcsin\left(\frac{e x}{d}\right)}{e^{3}} + \frac{2 \, d^{2}}{\sqrt{-e^{2} x^{2} + d^{2}} e^{3}}"," ",0,"-x^2/(sqrt(-e^2*x^2 + d^2)*e) + d*x/(sqrt(-e^2*x^2 + d^2)*e^2) - d*arcsin(e*x/d)/e^3 + 2*d^2/(sqrt(-e^2*x^2 + d^2)*e^3)","A",0
18,1,88,0,0.444049," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e} + \frac{d x}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} - \frac{x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{2}}"," ",0,"x^2/((-e^2*x^2 + d^2)^(3/2)*e) + 1/3*d*x/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2/3*d^2/((-e^2*x^2 + d^2)^(3/2)*e^3) - 1/3*x/(sqrt(-e^2*x^2 + d^2)*d*e^2)","A",0
19,1,312,0,1.029240," ","integrate(x^7*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{x^{7}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{7 \, d^{2} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)}}{30 \, e} - \frac{d x^{6}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{7 \, d^{2} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)}}{6 \, e^{3}} + \frac{6 \, d^{3} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} - \frac{8 \, d^{5} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}} + \frac{16 \, d^{7}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{8}} + \frac{14 \, d^{4} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{7}} - \frac{49 \, d^{2} x}{30 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{7}} - \frac{7 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{8}}"," ",0,"-1/2*x^7/((-e^2*x^2 + d^2)^(5/2)*e) + 7/30*d^2*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6))/e - d*x^6/((-e^2*x^2 + d^2)^(5/2)*e^2) - 7/6*d^2*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4))/e^3 + 6*d^3*x^4/((-e^2*x^2 + d^2)^(5/2)*e^4) - 8*d^5*x^2/((-e^2*x^2 + d^2)^(5/2)*e^6) + 16/5*d^7/((-e^2*x^2 + d^2)^(5/2)*e^8) + 14/15*d^4*x/((-e^2*x^2 + d^2)^(3/2)*e^7) - 49/30*d^2*x/(sqrt(-e^2*x^2 + d^2)*e^7) - 7/2*d^2*arcsin(e*x/d)/e^8","B",0
20,1,278,0,1.031661," ","integrate(x^6*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{15} \, d x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{x^{6}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} - \frac{d x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)}}{3 \, e^{2}} + \frac{6 \, d^{2} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} - \frac{8 \, d^{4} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{5}} + \frac{16 \, d^{6}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{7}} + \frac{4 \, d^{3} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6}} - \frac{7 \, d x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{6}} - \frac{d \arcsin\left(\frac{e x}{d}\right)}{e^{7}}"," ",0,"1/15*d*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - x^6/((-e^2*x^2 + d^2)^(5/2)*e) - 1/3*d*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4))/e^2 + 6*d^2*x^4/((-e^2*x^2 + d^2)^(5/2)*e^3) - 8*d^4*x^2/((-e^2*x^2 + d^2)^(5/2)*e^5) + 16/5*d^6/((-e^2*x^2 + d^2)^(5/2)*e^7) + 4/15*d^3*x/((-e^2*x^2 + d^2)^(3/2)*e^6) - 7/15*d*x/(sqrt(-e^2*x^2 + d^2)*e^6) - d*arcsin(e*x/d)/e^7","B",0
21,1,250,0,1.011070," ","integrate(x^5*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{15} \, e x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)}}{3 \, e} + \frac{d x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{4 \, d^{3} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{5}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}} + \frac{4 \, d^{2} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}} - \frac{7 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{5}} - \frac{\arcsin\left(\frac{e x}{d}\right)}{e^{6}}"," ",0,"1/15*e*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - 1/3*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4))/e + d*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 4/3*d^3*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8/15*d^5/((-e^2*x^2 + d^2)^(5/2)*e^6) + 4/15*d^2*x/((-e^2*x^2 + d^2)^(3/2)*e^5) - 7/15*x/(sqrt(-e^2*x^2 + d^2)*e^5) - arcsin(e*x/d)/e^6","B",0
22,1,159,0,0.453331," ","integrate(x^4*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{4 \, d^{2} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} - \frac{3 \, d^{3} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{5}} + \frac{d x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} + \frac{x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{4}}"," ",0,"x^4/((-e^2*x^2 + d^2)^(5/2)*e) + 1/2*d*x^3/((-e^2*x^2 + d^2)^(5/2)*e^2) - 4/3*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^3) - 3/10*d^3*x/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8/15*d^4/((-e^2*x^2 + d^2)^(5/2)*e^5) + 1/10*d*x/((-e^2*x^2 + d^2)^(3/2)*e^4) + 1/5*x/(sqrt(-e^2*x^2 + d^2)*d*e^4)","B",0
23,1,134,0,0.447600," ","integrate(x^3*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{3 \, d^{2} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} - \frac{2 \, d^{3}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} + \frac{x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{3}}"," ",0,"1/2*x^3/((-e^2*x^2 + d^2)^(5/2)*e) + 1/3*d*x^2/((-e^2*x^2 + d^2)^(5/2)*e^2) - 3/10*d^2*x/((-e^2*x^2 + d^2)^(5/2)*e^3) - 2/15*d^3/((-e^2*x^2 + d^2)^(5/2)*e^4) + 1/10*x/((-e^2*x^2 + d^2)^(3/2)*e^3) + 1/5*x/(sqrt(-e^2*x^2 + d^2)*d^2*e^3)","A",0
24,1,112,0,0.437742," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{2 \, d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} - \frac{x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{2}} - \frac{2 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} e^{2}}"," ",0,"1/3*x^2/((-e^2*x^2 + d^2)^(5/2)*e) + 1/5*d*x/((-e^2*x^2 + d^2)^(5/2)*e^2) - 2/15*d^2/((-e^2*x^2 + d^2)^(5/2)*e^3) - 1/15*x/((-e^2*x^2 + d^2)^(3/2)*d*e^2) - 2/15*x/(sqrt(-e^2*x^2 + d^2)*d^3*e^2)","A",0
25,1,87,0,0.436263," ","integrate(x*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e} - \frac{2 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e}"," ",0,"1/5*x/((-e^2*x^2 + d^2)^(5/2)*e) + 1/5*d/((-e^2*x^2 + d^2)^(5/2)*e^2) - 1/15*x/((-e^2*x^2 + d^2)^(3/2)*d^2*e) - 2/15*x/(sqrt(-e^2*x^2 + d^2)*d^4*e)","A",0
26,1,80,0,0.434736," ","integrate((e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d} + \frac{1}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{4 \, x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}} + \frac{8 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}}"," ",0,"1/5*x/((-e^2*x^2 + d^2)^(5/2)*d) + 1/5/((-e^2*x^2 + d^2)^(5/2)*e) + 4/15*x/((-e^2*x^2 + d^2)^(3/2)*d^3) + 8/15*x/(sqrt(-e^2*x^2 + d^2)*d^5)","A",0
27,1,157,0,0.445078," ","integrate((e*x+d)/x/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}} + \frac{1}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d} + \frac{4 \, e x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}} + \frac{1}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}} + \frac{8 \, e x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6}} - \frac{\log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d^{6}} + \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} d^{5}}"," ",0,"1/5*e*x/((-e^2*x^2 + d^2)^(5/2)*d^2) + 1/5/((-e^2*x^2 + d^2)^(5/2)*d) + 4/15*e*x/((-e^2*x^2 + d^2)^(3/2)*d^4) + 1/3/((-e^2*x^2 + d^2)^(3/2)*d^3) + 8/15*e*x/(sqrt(-e^2*x^2 + d^2)*d^6) - log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^6 + 1/(sqrt(-e^2*x^2 + d^2)*d^5)","A",0
28,1,189,0,0.462713," ","integrate((e*x+d)/x^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{6 \, e^{2} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}} + \frac{e}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}} + \frac{8 \, e^{2} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5}} + \frac{e}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}} - \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x} + \frac{16 \, e^{2} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7}} - \frac{e \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d^{7}} + \frac{e}{\sqrt{-e^{2} x^{2} + d^{2}} d^{6}}"," ",0,"6/5*e^2*x/((-e^2*x^2 + d^2)^(5/2)*d^3) + 1/5*e/((-e^2*x^2 + d^2)^(5/2)*d^2) + 8/5*e^2*x/((-e^2*x^2 + d^2)^(3/2)*d^5) + 1/3*e/((-e^2*x^2 + d^2)^(3/2)*d^4) - 1/((-e^2*x^2 + d^2)^(5/2)*d*x) + 16/5*e^2*x/(sqrt(-e^2*x^2 + d^2)*d^7) - e*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^7 + e/(sqrt(-e^2*x^2 + d^2)*d^6)","A",0
29,1,221,0,0.467781," ","integrate((e*x+d)/x^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{6 \, e^{3} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4}} + \frac{7 \, e^{2}}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}} + \frac{8 \, e^{3} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{6}} + \frac{7 \, e^{2}}{6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5}} - \frac{e}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} x} + \frac{16 \, e^{3} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{8}} - \frac{7 \, e^{2} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{2 \, d^{8}} + \frac{7 \, e^{2}}{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7}} - \frac{1}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x^{2}}"," ",0,"6/5*e^3*x/((-e^2*x^2 + d^2)^(5/2)*d^4) + 7/10*e^2/((-e^2*x^2 + d^2)^(5/2)*d^3) + 8/5*e^3*x/((-e^2*x^2 + d^2)^(3/2)*d^6) + 7/6*e^2/((-e^2*x^2 + d^2)^(3/2)*d^5) - e/((-e^2*x^2 + d^2)^(5/2)*d^2*x) + 16/5*e^3*x/(sqrt(-e^2*x^2 + d^2)*d^8) - 7/2*e^2*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^8 + 7/2*e^2/(sqrt(-e^2*x^2 + d^2)*d^7) - 1/2/((-e^2*x^2 + d^2)^(5/2)*d*x^2)","A",0
30,1,135,0,0.440443," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(9/2),x, algorithm=""maxima"")","\frac{x^{2}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e} + \frac{d x}{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{2}} - \frac{2 \, d^{2}}{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{3}} - \frac{x}{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{2}} - \frac{4 \, x}{105 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{2}} - \frac{8 \, x}{105 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5} e^{2}}"," ",0,"1/5*x^2/((-e^2*x^2 + d^2)^(7/2)*e) + 1/7*d*x/((-e^2*x^2 + d^2)^(7/2)*e^2) - 2/35*d^2/((-e^2*x^2 + d^2)^(7/2)*e^3) - 1/35*x/((-e^2*x^2 + d^2)^(5/2)*d*e^2) - 4/105*x/((-e^2*x^2 + d^2)^(3/2)*d^3*e^2) - 8/105*x/(sqrt(-e^2*x^2 + d^2)*d^5*e^2)","A",0
31,1,158,0,0.448145," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(11/2),x, algorithm=""maxima"")","\frac{x^{2}}{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{9}{2}} e} + \frac{d x}{9 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{9}{2}} e^{2}} - \frac{2 \, d^{2}}{63 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{9}{2}} e^{3}} - \frac{x}{63 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d e^{2}} - \frac{2 \, x}{105 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{2}} - \frac{8 \, x}{315 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} e^{2}} - \frac{16 \, x}{315 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7} e^{2}}"," ",0,"1/7*x^2/((-e^2*x^2 + d^2)^(9/2)*e) + 1/9*d*x/((-e^2*x^2 + d^2)^(9/2)*e^2) - 2/63*d^2/((-e^2*x^2 + d^2)^(9/2)*e^3) - 1/63*x/((-e^2*x^2 + d^2)^(7/2)*d*e^2) - 2/105*x/((-e^2*x^2 + d^2)^(5/2)*d^3*e^2) - 8/315*x/((-e^2*x^2 + d^2)^(3/2)*d^5*e^2) - 16/315*x/(sqrt(-e^2*x^2 + d^2)*d^7*e^2)","A",0
32,1,63,0,0.964282," ","integrate(x^2*(-a*x+1)/(-a^2*x^2+1)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{\sqrt{-a^{2} x^{2} + 1} a} + \frac{x}{\sqrt{-a^{2} x^{2} + 1} a^{2}} - \frac{\arcsin\left(a x\right)}{a^{3}} - \frac{2}{\sqrt{-a^{2} x^{2} + 1} a^{3}}"," ",0,"x^2/(sqrt(-a^2*x^2 + 1)*a) + x/(sqrt(-a^2*x^2 + 1)*a^2) - arcsin(a*x)/a^3 - 2/(sqrt(-a^2*x^2 + 1)*a^3)","A",0
33,1,153,0,0.977917," ","integrate(x^4*(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{-e^{2} x^{2} + d^{2}} x^{5} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d x^{4}}{5 \, e} - \frac{11 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} x^{3}}{24 \, e^{2}} - \frac{8 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} x^{2}}{15 \, e^{3}} + \frac{11 \, d^{6} \arcsin\left(\frac{e x}{d}\right)}{16 \, e^{5}} - \frac{11 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} x}{16 \, e^{4}} - \frac{16 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}}{15 \, e^{5}}"," ",0,"-1/6*sqrt(-e^2*x^2 + d^2)*x^5 - 2/5*sqrt(-e^2*x^2 + d^2)*d*x^4/e - 11/24*sqrt(-e^2*x^2 + d^2)*d^2*x^3/e^2 - 8/15*sqrt(-e^2*x^2 + d^2)*d^3*x^2/e^3 + 11/16*d^6*arcsin(e*x/d)/e^5 - 11/16*sqrt(-e^2*x^2 + d^2)*d^4*x/e^4 - 16/15*sqrt(-e^2*x^2 + d^2)*d^5/e^5","A",0
34,1,128,0,0.972970," ","integrate(x^3*(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{5} \, \sqrt{-e^{2} x^{2} + d^{2}} x^{4} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d x^{3}}{2 \, e} - \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} x^{2}}{5 \, e^{2}} + \frac{3 \, d^{5} \arcsin\left(\frac{e x}{d}\right)}{4 \, e^{4}} - \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} x}{4 \, e^{3}} - \frac{6 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4}}{5 \, e^{4}}"," ",0,"-1/5*sqrt(-e^2*x^2 + d^2)*x^4 - 1/2*sqrt(-e^2*x^2 + d^2)*d*x^3/e - 3/5*sqrt(-e^2*x^2 + d^2)*d^2*x^2/e^2 + 3/4*d^5*arcsin(e*x/d)/e^4 - 3/4*sqrt(-e^2*x^2 + d^2)*d^3*x/e^3 - 6/5*sqrt(-e^2*x^2 + d^2)*d^4/e^4","A",0
35,1,103,0,0.967527," ","integrate(x^2*(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{-e^{2} x^{2} + d^{2}} x^{3} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d x^{2}}{3 \, e} + \frac{7 \, d^{4} \arcsin\left(\frac{e x}{d}\right)}{8 \, e^{3}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} x}{8 \, e^{2}} - \frac{4 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{3 \, e^{3}}"," ",0,"-1/4*sqrt(-e^2*x^2 + d^2)*x^3 - 2/3*sqrt(-e^2*x^2 + d^2)*d*x^2/e + 7/8*d^4*arcsin(e*x/d)/e^3 - 7/8*sqrt(-e^2*x^2 + d^2)*d^2*x/e^2 - 4/3*sqrt(-e^2*x^2 + d^2)*d^3/e^3","A",0
36,1,77,0,0.969577," ","integrate(x*(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{-e^{2} x^{2} + d^{2}} x^{2} + \frac{d^{3} \arcsin\left(\frac{e x}{d}\right)}{e^{2}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d x}{e} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{3 \, e^{2}}"," ",0,"-1/3*sqrt(-e^2*x^2 + d^2)*x^2 + d^3*arcsin(e*x/d)/e^2 - sqrt(-e^2*x^2 + d^2)*d*x/e - 5/3*sqrt(-e^2*x^2 + d^2)*d^2/e^2","A",0
37,1,53,0,0.970364," ","integrate((e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\frac{3 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e} - \frac{1}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} x - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{e}"," ",0,"3/2*d^2*arcsin(e*x/d)/e - 1/2*sqrt(-e^2*x^2 + d^2)*x - 2*sqrt(-e^2*x^2 + d^2)*d/e","A",0
38,1,62,0,0.971393," ","integrate((e*x+d)^2/x/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","2 \, d \arcsin\left(\frac{e x}{d}\right) - d \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \sqrt{-e^{2} x^{2} + d^{2}}"," ",0,"2*d*arcsin(e*x/d) - d*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - sqrt(-e^2*x^2 + d^2)","A",0
39,1,64,0,0.962450," ","integrate((e*x+d)^2/x^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","e \arcsin\left(\frac{e x}{d}\right) - 2 \, e \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{x}"," ",0,"e*arcsin(e*x/d) - 2*e*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - sqrt(-e^2*x^2 + d^2)/x","A",0
40,1,83,0,0.951114," ","integrate((e*x+d)^2/x^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, e^{2} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{2 \, d} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} e}{d x} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{2 \, x^{2}}"," ",0,"-3/2*e^2*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d - 2*sqrt(-e^2*x^2 + d^2)*e/(d*x) - 1/2*sqrt(-e^2*x^2 + d^2)/x^2","A",0
41,1,108,0,0.969534," ","integrate((e*x+d)^2/x^4/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{e^{3} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d^{2}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{2}}{3 \, d^{2} x} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} e}{d x^{2}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{3 \, x^{3}}"," ",0,"-e^3*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^2 - 5/3*sqrt(-e^2*x^2 + d^2)*e^2/(d^2*x) - sqrt(-e^2*x^2 + d^2)*e/(d*x^2) - 1/3*sqrt(-e^2*x^2 + d^2)/x^3","A",0
42,1,133,0,0.969518," ","integrate((e*x+d)^2/x^5/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{7 \, e^{4} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{8 \, d^{3}} - \frac{4 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3}}{3 \, d^{3} x} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{2}}{8 \, d^{2} x^{2}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} e}{3 \, d x^{3}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{4 \, x^{4}}"," ",0,"-7/8*e^4*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^3 - 4/3*sqrt(-e^2*x^2 + d^2)*e^3/(d^3*x) - 7/8*sqrt(-e^2*x^2 + d^2)*e^2/(d^2*x^2) - 2/3*sqrt(-e^2*x^2 + d^2)*e/(d*x^3) - 1/4*sqrt(-e^2*x^2 + d^2)/x^4","A",0
43,1,158,0,0.984029," ","integrate((e*x+d)^2/x^6/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, e^{5} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{4 \, d^{4}} - \frac{6 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{4}}{5 \, d^{4} x} - \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3}}{4 \, d^{3} x^{2}} - \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{2}}{5 \, d^{2} x^{3}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} e}{2 \, d x^{4}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{5 \, x^{5}}"," ",0,"-3/4*e^5*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^4 - 6/5*sqrt(-e^2*x^2 + d^2)*e^4/(d^4*x) - 3/4*sqrt(-e^2*x^2 + d^2)*e^3/(d^3*x^2) - 3/5*sqrt(-e^2*x^2 + d^2)*e^2/(d^2*x^3) - 1/2*sqrt(-e^2*x^2 + d^2)*e/(d*x^4) - 1/5*sqrt(-e^2*x^2 + d^2)/x^5","A",0
44,1,276,0,1.016297," ","integrate(x^5*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{2}{15} \, d e x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{x^{6}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{2 \, d x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)}}{3 \, e} + \frac{7 \, d^{2} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{28 \, d^{4} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{56 \, d^{6}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}} + \frac{8 \, d^{3} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}} - \frac{14 \, d x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{5}} - \frac{2 \, d \arcsin\left(\frac{e x}{d}\right)}{e^{6}}"," ",0,"2/15*d*e*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - x^6/(-e^2*x^2 + d^2)^(5/2) - 2/3*d*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4))/e + 7*d^2*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 28/3*d^4*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 56/15*d^6/((-e^2*x^2 + d^2)^(5/2)*e^6) + 8/15*d^3*x/((-e^2*x^2 + d^2)^(3/2)*e^5) - 14/15*d*x/(sqrt(-e^2*x^2 + d^2)*e^5) - 2*d*arcsin(e*x/d)/e^6","B",0
45,1,298,0,1.004330," ","integrate(x^4*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{15} \, e^{2} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{1}{3} \, x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} + \frac{2 \, d x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d^{2} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{8 \, d^{3} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} - \frac{3 \, d^{4} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{16 \, d^{5}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{5}} + \frac{11 \, d^{2} x}{30 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} - \frac{4 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{4}} - \frac{\arcsin\left(\frac{e x}{d}\right)}{e^{5}}"," ",0,"1/15*e^2*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - 1/3*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) + 2*d*x^4/((-e^2*x^2 + d^2)^(5/2)*e) + 1/2*d^2*x^3/((-e^2*x^2 + d^2)^(5/2)*e^2) - 8/3*d^3*x^2/((-e^2*x^2 + d^2)^(5/2)*e^3) - 3/10*d^4*x/((-e^2*x^2 + d^2)^(5/2)*e^4) + 16/15*d^5/((-e^2*x^2 + d^2)^(5/2)*e^5) + 11/30*d^2*x/((-e^2*x^2 + d^2)^(3/2)*e^4) - 4/15*x/(sqrt(-e^2*x^2 + d^2)*e^4) - arcsin(e*x/d)/e^5","B",0
46,1,155,0,0.445048," ","integrate(x^3*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{d x^{3}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} - \frac{d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{3 \, d^{3} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} + \frac{2 \, d^{4}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{d x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} + \frac{2 \, x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{3}}"," ",0,"x^4/(-e^2*x^2 + d^2)^(5/2) + d*x^3/((-e^2*x^2 + d^2)^(5/2)*e) - d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^2) - 3/5*d^3*x/((-e^2*x^2 + d^2)^(5/2)*e^3) + 2/5*d^4/((-e^2*x^2 + d^2)^(5/2)*e^4) + 1/5*d*x/((-e^2*x^2 + d^2)^(3/2)*e^3) + 2/5*x/(sqrt(-e^2*x^2 + d^2)*d*e^3)","A",0
47,1,131,0,0.445487," ","integrate(x^2*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{2 \, d x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} - \frac{d^{2} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{4 \, d^{3}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} + \frac{x}{30 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} + \frac{x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{2}}"," ",0,"1/2*x^3/(-e^2*x^2 + d^2)^(5/2) + 2/3*d*x^2/((-e^2*x^2 + d^2)^(5/2)*e) - 1/10*d^2*x/((-e^2*x^2 + d^2)^(5/2)*e^2) - 4/15*d^3/((-e^2*x^2 + d^2)^(5/2)*e^3) + 1/30*x/((-e^2*x^2 + d^2)^(3/2)*e^2) + 1/15*x/(sqrt(-e^2*x^2 + d^2)*d^2*e^2)","A",0
48,1,109,0,0.437878," ","integrate(x*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{2 \, d x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{2 \, x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e} - \frac{4 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} e}"," ",0,"1/3*x^2/(-e^2*x^2 + d^2)^(5/2) + 2/5*d*x/((-e^2*x^2 + d^2)^(5/2)*e) + 1/15*d^2/((-e^2*x^2 + d^2)^(5/2)*e^2) - 2/15*x/((-e^2*x^2 + d^2)^(3/2)*d*e) - 4/15*x/(sqrt(-e^2*x^2 + d^2)*d^3*e)","A",0
49,1,78,0,0.437749," ","integrate((e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{2 \, x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{2 \, d}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}} + \frac{2 \, x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4}}"," ",0,"2/5*x/(-e^2*x^2 + d^2)^(5/2) + 2/5*d/((-e^2*x^2 + d^2)^(5/2)*e) + 1/5*x/((-e^2*x^2 + d^2)^(3/2)*d^2) + 2/5*x/(sqrt(-e^2*x^2 + d^2)*d^4)","A",0
50,1,154,0,0.456161," ","integrate((e*x+d)^2/x/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{2 \, e x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d} + \frac{2}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{8 \, e x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}} + \frac{1}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}} + \frac{16 \, e x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}} - \frac{\log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d^{5}} + \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} d^{4}}"," ",0,"2/5*e*x/((-e^2*x^2 + d^2)^(5/2)*d) + 2/5/(-e^2*x^2 + d^2)^(5/2) + 8/15*e*x/((-e^2*x^2 + d^2)^(3/2)*d^3) + 1/3/((-e^2*x^2 + d^2)^(3/2)*d^2) + 16/15*e*x/(sqrt(-e^2*x^2 + d^2)*d^5) - log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^5 + 1/(sqrt(-e^2*x^2 + d^2)*d^4)","A",0
51,1,187,0,0.466204," ","integrate((e*x+d)^2/x^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{7 \, e^{2} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}} + \frac{2 \, e}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d} + \frac{28 \, e^{2} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}} + \frac{2 \, e}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}} - \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x} + \frac{56 \, e^{2} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6}} - \frac{2 \, e \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d^{6}} + \frac{2 \, e}{\sqrt{-e^{2} x^{2} + d^{2}} d^{5}}"," ",0,"7/5*e^2*x/((-e^2*x^2 + d^2)^(5/2)*d^2) + 2/5*e/((-e^2*x^2 + d^2)^(5/2)*d) + 28/15*e^2*x/((-e^2*x^2 + d^2)^(3/2)*d^4) + 2/3*e/((-e^2*x^2 + d^2)^(3/2)*d^3) - 1/((-e^2*x^2 + d^2)^(5/2)*x) + 56/15*e^2*x/(sqrt(-e^2*x^2 + d^2)*d^6) - 2*e*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^6 + 2*e/(sqrt(-e^2*x^2 + d^2)*d^5)","A",0
52,1,218,0,0.468757," ","integrate((e*x+d)^2/x^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{12 \, e^{3} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}} + \frac{9 \, e^{2}}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}} + \frac{16 \, e^{3} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5}} + \frac{3 \, e^{2}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}} - \frac{2 \, e}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x} + \frac{32 \, e^{3} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7}} - \frac{9 \, e^{2} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{2 \, d^{7}} + \frac{9 \, e^{2}}{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6}} - \frac{1}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x^{2}}"," ",0,"12/5*e^3*x/((-e^2*x^2 + d^2)^(5/2)*d^3) + 9/10*e^2/((-e^2*x^2 + d^2)^(5/2)*d^2) + 16/5*e^3*x/((-e^2*x^2 + d^2)^(3/2)*d^5) + 3/2*e^2/((-e^2*x^2 + d^2)^(3/2)*d^4) - 2*e/((-e^2*x^2 + d^2)^(5/2)*d*x) + 32/5*e^3*x/(sqrt(-e^2*x^2 + d^2)*d^7) - 9/2*e^2*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^7 + 9/2*e^2/(sqrt(-e^2*x^2 + d^2)*d^6) - 1/2/((-e^2*x^2 + d^2)^(5/2)*x^2)","A",0
53,1,243,0,0.477740," ","integrate((e*x+d)^2/x^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{22 \, e^{4} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4}} + \frac{7 \, e^{3}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}} + \frac{88 \, e^{4} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{6}} + \frac{7 \, e^{3}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5}} - \frac{11 \, e^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} x} + \frac{176 \, e^{4} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{8}} - \frac{7 \, e^{3} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d^{8}} + \frac{7 \, e^{3}}{\sqrt{-e^{2} x^{2} + d^{2}} d^{7}} - \frac{e}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x^{2}} - \frac{1}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x^{3}}"," ",0,"22/5*e^4*x/((-e^2*x^2 + d^2)^(5/2)*d^4) + 7/5*e^3/((-e^2*x^2 + d^2)^(5/2)*d^3) + 88/15*e^4*x/((-e^2*x^2 + d^2)^(3/2)*d^6) + 7/3*e^3/((-e^2*x^2 + d^2)^(3/2)*d^5) - 11/3*e^2/((-e^2*x^2 + d^2)^(5/2)*d^2*x) + 176/15*e^4*x/(sqrt(-e^2*x^2 + d^2)*d^8) - 7*e^3*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^8 + 7*e^3/(sqrt(-e^2*x^2 + d^2)*d^7) - e/((-e^2*x^2 + d^2)^(5/2)*d*x^2) - 1/3/((-e^2*x^2 + d^2)^(5/2)*x^3)","A",0
54,1,70,0,0.967514," ","integrate(x^3*(1+x)^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{5} \, \sqrt{-x^{2} + 1} x^{4} - \frac{1}{2} \, \sqrt{-x^{2} + 1} x^{3} - \frac{3}{5} \, \sqrt{-x^{2} + 1} x^{2} - \frac{3}{4} \, \sqrt{-x^{2} + 1} x - \frac{6}{5} \, \sqrt{-x^{2} + 1} + \frac{3}{4} \, \arcsin\left(x\right)"," ",0,"-1/5*sqrt(-x^2 + 1)*x^4 - 1/2*sqrt(-x^2 + 1)*x^3 - 3/5*sqrt(-x^2 + 1)*x^2 - 3/4*sqrt(-x^2 + 1)*x - 6/5*sqrt(-x^2 + 1) + 3/4*arcsin(x)","A",0
55,1,56,0,0.968953," ","integrate(x^2*(1+x)^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{-x^{2} + 1} x^{3} - \frac{2}{3} \, \sqrt{-x^{2} + 1} x^{2} - \frac{7}{8} \, \sqrt{-x^{2} + 1} x - \frac{4}{3} \, \sqrt{-x^{2} + 1} + \frac{7}{8} \, \arcsin\left(x\right)"," ",0,"-1/4*sqrt(-x^2 + 1)*x^3 - 2/3*sqrt(-x^2 + 1)*x^2 - 7/8*sqrt(-x^2 + 1)*x - 4/3*sqrt(-x^2 + 1) + 7/8*arcsin(x)","A",0
56,1,40,0,0.970989," ","integrate(x*(1+x)^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{-x^{2} + 1} x^{2} - \sqrt{-x^{2} + 1} x - \frac{5}{3} \, \sqrt{-x^{2} + 1} + \arcsin\left(x\right)"," ",0,"-1/3*sqrt(-x^2 + 1)*x^2 - sqrt(-x^2 + 1)*x - 5/3*sqrt(-x^2 + 1) + arcsin(x)","A",0
57,1,28,0,0.961479," ","integrate((1+x)^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-x^{2} + 1} x - 2 \, \sqrt{-x^{2} + 1} + \frac{3}{2} \, \arcsin\left(x\right)"," ",0,"-1/2*sqrt(-x^2 + 1)*x - 2*sqrt(-x^2 + 1) + 3/2*arcsin(x)","A",0
58,1,41,0,0.979311," ","integrate((1+x)^2/x/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 1} + 2 \, \arcsin\left(x\right) - \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"-sqrt(-x^2 + 1) + 2*arcsin(x) - log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
59,1,42,0,0.971111," ","integrate((1+x)^2/x^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 1}}{x} + \arcsin\left(x\right) - 2 \, \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"-sqrt(-x^2 + 1)/x + arcsin(x) - 2*log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
60,1,54,0,0.968567," ","integrate((1+x)^2/x^3/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-x^{2} + 1}}{x} - \frac{\sqrt{-x^{2} + 1}}{2 \, x^{2}} - \frac{3}{2} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"-2*sqrt(-x^2 + 1)/x - 1/2*sqrt(-x^2 + 1)/x^2 - 3/2*log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
61,1,68,0,0.964054," ","integrate((1+x)^2/x^4/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{5 \, \sqrt{-x^{2} + 1}}{3 \, x} - \frac{\sqrt{-x^{2} + 1}}{x^{2}} - \frac{\sqrt{-x^{2} + 1}}{3 \, x^{3}} - \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"-5/3*sqrt(-x^2 + 1)/x - sqrt(-x^2 + 1)/x^2 - 1/3*sqrt(-x^2 + 1)/x^3 - log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
62,1,82,0,0.971708," ","integrate((1+x)^2/x^5/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{4 \, \sqrt{-x^{2} + 1}}{3 \, x} - \frac{7 \, \sqrt{-x^{2} + 1}}{8 \, x^{2}} - \frac{2 \, \sqrt{-x^{2} + 1}}{3 \, x^{3}} - \frac{\sqrt{-x^{2} + 1}}{4 \, x^{4}} - \frac{7}{8} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"-4/3*sqrt(-x^2 + 1)/x - 7/8*sqrt(-x^2 + 1)/x^2 - 2/3*sqrt(-x^2 + 1)/x^3 - 1/4*sqrt(-x^2 + 1)/x^4 - 7/8*log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
63,1,96,0,0.968837," ","integrate((1+x)^2/x^6/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{6 \, \sqrt{-x^{2} + 1}}{5 \, x} - \frac{3 \, \sqrt{-x^{2} + 1}}{4 \, x^{2}} - \frac{3 \, \sqrt{-x^{2} + 1}}{5 \, x^{3}} - \frac{\sqrt{-x^{2} + 1}}{2 \, x^{4}} - \frac{\sqrt{-x^{2} + 1}}{5 \, x^{5}} - \frac{3}{4} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"-6/5*sqrt(-x^2 + 1)/x - 3/4*sqrt(-x^2 + 1)/x^2 - 3/5*sqrt(-x^2 + 1)/x^3 - 1/2*sqrt(-x^2 + 1)/x^4 - 1/5*sqrt(-x^2 + 1)/x^5 - 3/4*log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
64,1,159,0,0.981944," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(1/2)/x^5,x, algorithm=""maxima"")","-e^{4} \arcsin\left(\frac{e x}{d}\right) + \frac{13}{8} \, e^{4} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{13 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{4}}{8 \, d} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{3}}{x} - \frac{13 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{8 \, d x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{x^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{4 \, x^{4}}"," ",0,"-e^4*arcsin(e*x/d) + 13/8*e^4*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 13/8*sqrt(-e^2*x^2 + d^2)*e^4/d - sqrt(-e^2*x^2 + d^2)*e^3/x - 13/8*(-e^2*x^2 + d^2)^(3/2)*e^2/(d*x^2) - (-e^2*x^2 + d^2)^(3/2)*e/x^3 - 1/4*(-e^2*x^2 + d^2)^(3/2)*d/x^4","A",0
65,1,270,0,1.001531," ","integrate(x^5*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{14} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e x^{7} - \frac{3}{13} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d x^{6} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{2} x^{5}}{24 \, e} + \frac{35 \, d^{14} \arcsin\left(\frac{e x}{d}\right)}{2048 \, e^{6}} + \frac{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{12} x}{2048 \, e^{5}} - \frac{31 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{3} x^{4}}{143 \, e^{2}} + \frac{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{10} x}{3072 \, e^{5}} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{4} x^{3}}{48 \, e^{3}} + \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{8} x}{768 \, e^{5}} - \frac{124 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{5} x^{2}}{1287 \, e^{4}} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{6} x}{128 \, e^{5}} - \frac{248 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{7}}{9009 \, e^{6}}"," ",0,"-1/14*(-e^2*x^2 + d^2)^(7/2)*e*x^7 - 3/13*(-e^2*x^2 + d^2)^(7/2)*d*x^6 - 7/24*(-e^2*x^2 + d^2)^(7/2)*d^2*x^5/e + 35/2048*d^14*arcsin(e*x/d)/e^6 + 35/2048*sqrt(-e^2*x^2 + d^2)*d^12*x/e^5 - 31/143*(-e^2*x^2 + d^2)^(7/2)*d^3*x^4/e^2 + 35/3072*(-e^2*x^2 + d^2)^(3/2)*d^10*x/e^5 - 7/48*(-e^2*x^2 + d^2)^(7/2)*d^4*x^3/e^3 + 7/768*(-e^2*x^2 + d^2)^(5/2)*d^8*x/e^5 - 124/1287*(-e^2*x^2 + d^2)^(7/2)*d^5*x^2/e^4 - 7/128*(-e^2*x^2 + d^2)^(7/2)*d^6*x/e^5 - 248/9009*(-e^2*x^2 + d^2)^(7/2)*d^7/e^6","A",0
66,1,245,0,0.986639," ","integrate(x^4*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{13} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e x^{6} - \frac{1}{4} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d x^{5} + \frac{27 \, d^{13} \arcsin\left(\frac{e x}{d}\right)}{1024 \, e^{5}} + \frac{27 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{11} x}{1024 \, e^{4}} - \frac{45 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{2} x^{4}}{143 \, e} + \frac{9 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{9} x}{512 \, e^{4}} - \frac{9 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{3} x^{3}}{40 \, e^{2}} + \frac{9 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{7} x}{640 \, e^{4}} - \frac{20 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{4} x^{2}}{143 \, e^{3}} - \frac{27 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{5} x}{320 \, e^{4}} - \frac{40 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{6}}{1001 \, e^{5}}"," ",0,"-1/13*(-e^2*x^2 + d^2)^(7/2)*e*x^6 - 1/4*(-e^2*x^2 + d^2)^(7/2)*d*x^5 + 27/1024*d^13*arcsin(e*x/d)/e^5 + 27/1024*sqrt(-e^2*x^2 + d^2)*d^11*x/e^4 - 45/143*(-e^2*x^2 + d^2)^(7/2)*d^2*x^4/e + 9/512*(-e^2*x^2 + d^2)^(3/2)*d^9*x/e^4 - 9/40*(-e^2*x^2 + d^2)^(7/2)*d^3*x^3/e^2 + 9/640*(-e^2*x^2 + d^2)^(5/2)*d^7*x/e^4 - 20/143*(-e^2*x^2 + d^2)^(7/2)*d^4*x^2/e^3 - 27/320*(-e^2*x^2 + d^2)^(7/2)*d^5*x/e^4 - 40/1001*(-e^2*x^2 + d^2)^(7/2)*d^6/e^5","A",0
67,1,220,0,0.992213," ","integrate(x^3*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e x^{5} + \frac{41 \, d^{12} \arcsin\left(\frac{e x}{d}\right)}{1024 \, e^{4}} + \frac{41 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{10} x}{1024 \, e^{3}} - \frac{3}{11} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d x^{4} + \frac{41 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{8} x}{1536 \, e^{3}} - \frac{41 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{2} x^{3}}{120 \, e} + \frac{41 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{6} x}{1920 \, e^{3}} - \frac{23 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{3} x^{2}}{99 \, e^{2}} - \frac{41 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{4} x}{320 \, e^{3}} - \frac{46 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{5}}{693 \, e^{4}}"," ",0,"-1/12*(-e^2*x^2 + d^2)^(7/2)*e*x^5 + 41/1024*d^12*arcsin(e*x/d)/e^4 + 41/1024*sqrt(-e^2*x^2 + d^2)*d^10*x/e^3 - 3/11*(-e^2*x^2 + d^2)^(7/2)*d*x^4 + 41/1536*(-e^2*x^2 + d^2)^(3/2)*d^8*x/e^3 - 41/120*(-e^2*x^2 + d^2)^(7/2)*d^2*x^3/e + 41/1920*(-e^2*x^2 + d^2)^(5/2)*d^6*x/e^3 - 23/99*(-e^2*x^2 + d^2)^(7/2)*d^3*x^2/e^2 - 41/320*(-e^2*x^2 + d^2)^(7/2)*d^4*x/e^3 - 46/693*(-e^2*x^2 + d^2)^(7/2)*d^5/e^4","A",0
68,1,195,0,0.993426," ","integrate(x^2*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{19 \, d^{11} \arcsin\left(\frac{e x}{d}\right)}{256 \, e^{3}} + \frac{19 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{9} x}{256 \, e^{2}} - \frac{1}{11} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e x^{4} + \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{7} x}{384 \, e^{2}} - \frac{3}{10} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d x^{3} + \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} x}{480 \, e^{2}} - \frac{37 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{2} x^{2}}{99 \, e} - \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{3} x}{80 \, e^{2}} - \frac{74 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{4}}{693 \, e^{3}}"," ",0,"19/256*d^11*arcsin(e*x/d)/e^3 + 19/256*sqrt(-e^2*x^2 + d^2)*d^9*x/e^2 - 1/11*(-e^2*x^2 + d^2)^(7/2)*e*x^4 + 19/384*(-e^2*x^2 + d^2)^(3/2)*d^7*x/e^2 - 3/10*(-e^2*x^2 + d^2)^(7/2)*d*x^3 + 19/480*(-e^2*x^2 + d^2)^(5/2)*d^5*x/e^2 - 37/99*(-e^2*x^2 + d^2)^(7/2)*d^2*x^2/e - 19/80*(-e^2*x^2 + d^2)^(7/2)*d^3*x/e^2 - 74/693*(-e^2*x^2 + d^2)^(7/2)*d^4/e^3","A",0
69,1,170,0,0.987322," ","integrate(x*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{33 \, d^{10} \arcsin\left(\frac{e x}{d}\right)}{256 \, e^{2}} + \frac{33 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{8} x}{256 \, e} + \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{6} x}{128 \, e} - \frac{1}{10} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e x^{3} + \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} x}{160 \, e} - \frac{1}{3} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d x^{2} - \frac{33 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{2} x}{80 \, e} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{3}}{21 \, e^{2}}"," ",0,"33/256*d^10*arcsin(e*x/d)/e^2 + 33/256*sqrt(-e^2*x^2 + d^2)*d^8*x/e + 11/128*(-e^2*x^2 + d^2)^(3/2)*d^6*x/e - 1/10*(-e^2*x^2 + d^2)^(7/2)*e*x^3 + 11/160*(-e^2*x^2 + d^2)^(5/2)*d^4*x/e - 1/3*(-e^2*x^2 + d^2)^(7/2)*d*x^2 - 33/80*(-e^2*x^2 + d^2)^(7/2)*d^2*x/e - 5/21*(-e^2*x^2 + d^2)^(7/2)*d^3/e^2","A",0
70,1,136,0,0.984561," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{55 \, d^{9} \arcsin\left(\frac{e x}{d}\right)}{128 \, e} + \frac{55}{128} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7} x + \frac{55}{192} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} x + \frac{11}{48} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} x - \frac{1}{9} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e x^{2} - \frac{3}{8} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d x - \frac{29 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{2}}{63 \, e}"," ",0,"55/128*d^9*arcsin(e*x/d)/e + 55/128*sqrt(-e^2*x^2 + d^2)*d^7*x + 55/192*(-e^2*x^2 + d^2)^(3/2)*d^5*x + 11/48*(-e^2*x^2 + d^2)^(5/2)*d^3*x - 1/9*(-e^2*x^2 + d^2)^(7/2)*e*x^2 - 3/8*(-e^2*x^2 + d^2)^(7/2)*d*x - 29/63*(-e^2*x^2 + d^2)^(7/2)*d^2/e","A",0
71,1,204,0,1.003835," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x,x, algorithm=""maxima"")","\frac{125}{128} \, d^{8} \arcsin\left(\frac{e x}{d}\right) - d^{8} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{125}{128} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6} e x + \sqrt{-e^{2} x^{2} + d^{2}} d^{7} + \frac{125}{192} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} e x + \frac{1}{3} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} + \frac{25}{48} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e x + \frac{1}{5} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} - \frac{1}{8} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e x - \frac{3}{7} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d"," ",0,"125/128*d^8*arcsin(e*x/d) - d^8*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + 125/128*sqrt(-e^2*x^2 + d^2)*d^6*e*x + sqrt(-e^2*x^2 + d^2)*d^7 + 125/192*(-e^2*x^2 + d^2)^(3/2)*d^4*e*x + 1/3*(-e^2*x^2 + d^2)^(3/2)*d^5 + 25/48*(-e^2*x^2 + d^2)^(5/2)*d^2*e*x + 1/5*(-e^2*x^2 + d^2)^(5/2)*d^3 - 1/8*(-e^2*x^2 + d^2)^(7/2)*e*x - 3/7*(-e^2*x^2 + d^2)^(7/2)*d","A",0
72,1,217,0,0.998409," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^2,x, algorithm=""maxima"")","-\frac{15}{16} \, d^{7} e \arcsin\left(\frac{e x}{d}\right) - 3 \, d^{7} e \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{15}{16} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5} e^{2} x + 3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6} e - \frac{5}{8} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} e + \frac{1}{2} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{2} x + \frac{3}{5} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e - \frac{1}{7} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}}{x}"," ",0,"-15/16*d^7*e*arcsin(e*x/d) - 3*d^7*e*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 15/16*sqrt(-e^2*x^2 + d^2)*d^5*e^2*x + 3*sqrt(-e^2*x^2 + d^2)*d^6*e - 5/8*(-e^2*x^2 + d^2)^(3/2)*d^3*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^4*e + 1/2*(-e^2*x^2 + d^2)^(5/2)*d*e^2*x + 3/5*(-e^2*x^2 + d^2)^(5/2)*d^2*e - 1/7*(-e^2*x^2 + d^2)^(7/2)*e - (-e^2*x^2 + d^2)^(5/2)*d^3/x","A",0
73,1,229,0,1.004179," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^3,x, algorithm=""maxima"")","-\frac{85}{16} \, d^{6} e^{2} \arcsin\left(\frac{e x}{d}\right) - \frac{1}{2} \, d^{6} e^{2} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{85}{16} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e^{3} x + \frac{1}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5} e^{2} - \frac{85}{24} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{3} x + \frac{1}{6} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{2} + \frac{1}{6} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3} x + \frac{1}{10} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{2} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e}{x} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{2 \, x^{2}}"," ",0,"-85/16*d^6*e^2*arcsin(e*x/d) - 1/2*d^6*e^2*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 85/16*sqrt(-e^2*x^2 + d^2)*d^4*e^3*x + 1/2*sqrt(-e^2*x^2 + d^2)*d^5*e^2 - 85/24*(-e^2*x^2 + d^2)^(3/2)*d^2*e^3*x + 1/6*(-e^2*x^2 + d^2)^(3/2)*d^3*e^2 + 1/6*(-e^2*x^2 + d^2)^(5/2)*e^3*x + 1/10*(-e^2*x^2 + d^2)^(5/2)*d*e^2 - 3*(-e^2*x^2 + d^2)^(5/2)*d^2*e/x - 1/2*(-e^2*x^2 + d^2)^(7/2)*d/x^2","A",0
74,1,226,0,1.008442," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^4,x, algorithm=""maxima"")","-\frac{25}{8} \, d^{5} e^{3} \arcsin\left(\frac{e x}{d}\right) + \frac{13}{2} \, d^{5} e^{3} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{25}{8} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} e^{4} x - \frac{13}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e^{3} - \frac{25}{12} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{4} x - \frac{13}{6} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{3} - \frac{13}{10} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{2}}{3 \, x} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e}{2 \, x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{3 \, x^{3}}"," ",0,"-25/8*d^5*e^3*arcsin(e*x/d) + 13/2*d^5*e^3*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 25/8*sqrt(-e^2*x^2 + d^2)*d^3*e^4*x - 13/2*sqrt(-e^2*x^2 + d^2)*d^4*e^3 - 25/12*(-e^2*x^2 + d^2)^(3/2)*d*e^4*x - 13/6*(-e^2*x^2 + d^2)^(3/2)*d^2*e^3 - 13/10*(-e^2*x^2 + d^2)^(5/2)*e^3 - 5/3*(-e^2*x^2 + d^2)^(5/2)*d*e^2/x - 3/2*(-e^2*x^2 + d^2)^(7/2)*e/x^2 - 1/3*(-e^2*x^2 + d^2)^(7/2)*d/x^3","A",0
75,1,250,0,0.992751," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^5,x, algorithm=""maxima"")","\frac{45}{8} \, d^{4} e^{4} \arcsin\left(\frac{e x}{d}\right) + \frac{45}{8} \, d^{4} e^{4} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{45}{8} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{5} x - \frac{45}{8} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} e^{4} + \frac{15}{4} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5} x - \frac{15}{8} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{4} - \frac{9 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}}{8 \, d} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}}{x} - \frac{9 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{2}}{8 \, d x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e}{x^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{4 \, x^{4}}"," ",0,"45/8*d^4*e^4*arcsin(e*x/d) + 45/8*d^4*e^4*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + 45/8*sqrt(-e^2*x^2 + d^2)*d^2*e^5*x - 45/8*sqrt(-e^2*x^2 + d^2)*d^3*e^4 + 15/4*(-e^2*x^2 + d^2)^(3/2)*e^5*x - 15/8*(-e^2*x^2 + d^2)^(3/2)*d*e^4 - 9/8*(-e^2*x^2 + d^2)^(5/2)*e^4/d + 3*(-e^2*x^2 + d^2)^(5/2)*e^3/x - 9/8*(-e^2*x^2 + d^2)^(7/2)*e^2/(d*x^2) - (-e^2*x^2 + d^2)^(7/2)*e/x^3 - 1/4*(-e^2*x^2 + d^2)^(7/2)*d/x^4","A",0
76,1,278,0,0.994217," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^6,x, algorithm=""maxima"")","\frac{13}{2} \, d^{3} e^{5} \arcsin\left(\frac{e x}{d}\right) - \frac{25}{8} \, d^{3} e^{5} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{13}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{6} x + \frac{25}{8} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{5} + \frac{13 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6} x}{3 \, d} + \frac{25}{24} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{5}}{8 \, d^{2}} + \frac{52 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}}{15 \, d x} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{3}}{8 \, d^{2} x^{2}} - \frac{13 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{2}}{15 \, d x^{3}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e}{4 \, x^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{5 \, x^{5}}"," ",0,"13/2*d^3*e^5*arcsin(e*x/d) - 25/8*d^3*e^5*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + 13/2*sqrt(-e^2*x^2 + d^2)*d*e^6*x + 25/8*sqrt(-e^2*x^2 + d^2)*d^2*e^5 + 13/3*(-e^2*x^2 + d^2)^(3/2)*e^6*x/d + 25/24*(-e^2*x^2 + d^2)^(3/2)*e^5 + 5/8*(-e^2*x^2 + d^2)^(5/2)*e^5/d^2 + 52/15*(-e^2*x^2 + d^2)^(5/2)*e^4/(d*x) + 5/8*(-e^2*x^2 + d^2)^(7/2)*e^3/(d^2*x^2) - 13/15*(-e^2*x^2 + d^2)^(7/2)*e^2/(d*x^3) - 3/4*(-e^2*x^2 + d^2)^(7/2)*e/x^4 - 1/5*(-e^2*x^2 + d^2)^(7/2)*d/x^5","A",0
77,1,303,0,1.001270," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^7,x, algorithm=""maxima"")","-\frac{1}{2} \, d^{2} e^{6} \arcsin\left(\frac{e x}{d}\right) - \frac{85}{16} \, d^{2} e^{6} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{1}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{7} x + \frac{85}{16} \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{6} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{7} x}{3 \, d^{2}} + \frac{85 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6}}{48 \, d} + \frac{17 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}{16 \, d^{3}} - \frac{4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{5}}{15 \, d^{2} x} + \frac{17 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{4}}{16 \, d^{3} x^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{3}}{15 \, d^{2} x^{3}} - \frac{17 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{2}}{24 \, d x^{4}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e}{5 \, x^{5}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{6 \, x^{6}}"," ",0,"-1/2*d^2*e^6*arcsin(e*x/d) - 85/16*d^2*e^6*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 1/2*sqrt(-e^2*x^2 + d^2)*e^7*x + 85/16*sqrt(-e^2*x^2 + d^2)*d*e^6 - 1/3*(-e^2*x^2 + d^2)^(3/2)*e^7*x/d^2 + 85/48*(-e^2*x^2 + d^2)^(3/2)*e^6/d + 17/16*(-e^2*x^2 + d^2)^(5/2)*e^6/d^3 - 4/15*(-e^2*x^2 + d^2)^(5/2)*e^5/(d^2*x) + 17/16*(-e^2*x^2 + d^2)^(7/2)*e^4/(d^3*x^2) + 1/15*(-e^2*x^2 + d^2)^(7/2)*e^3/(d^2*x^3) - 17/24*(-e^2*x^2 + d^2)^(7/2)*e^2/(d*x^4) - 3/5*(-e^2*x^2 + d^2)^(7/2)*e/x^5 - 1/6*(-e^2*x^2 + d^2)^(7/2)*d/x^6","A",0
78,1,326,0,1.010194," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^8,x, algorithm=""maxima"")","-3 \, d e^{7} \arcsin\left(\frac{e x}{d}\right) - \frac{15}{16} \, d e^{7} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{8} x}{d} + \frac{15}{16} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{7} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{8} x}{d^{3}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{7}}{16 \, d^{2}} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{7}}{16 \, d^{4}} - \frac{8 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}{5 \, d^{3} x} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{5}}{16 \, d^{4} x^{2}} + \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{4}}{5 \, d^{3} x^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{3}}{8 \, d^{2} x^{4}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{2}}{5 \, d x^{5}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e}{2 \, x^{6}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{7 \, x^{7}}"," ",0,"-3*d*e^7*arcsin(e*x/d) - 15/16*d*e^7*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 3*sqrt(-e^2*x^2 + d^2)*e^8*x/d + 15/16*sqrt(-e^2*x^2 + d^2)*e^7 - 2*(-e^2*x^2 + d^2)^(3/2)*e^8*x/d^3 + 5/16*(-e^2*x^2 + d^2)^(3/2)*e^7/d^2 + 3/16*(-e^2*x^2 + d^2)^(5/2)*e^7/d^4 - 8/5*(-e^2*x^2 + d^2)^(5/2)*e^6/(d^3*x) + 3/16*(-e^2*x^2 + d^2)^(7/2)*e^5/(d^4*x^2) + 2/5*(-e^2*x^2 + d^2)^(7/2)*e^4/(d^3*x^3) - 1/8*(-e^2*x^2 + d^2)^(7/2)*e^3/(d^2*x^4) - 3/5*(-e^2*x^2 + d^2)^(7/2)*e^2/(d*x^5) - 1/2*(-e^2*x^2 + d^2)^(7/2)*e/x^6 - 1/7*(-e^2*x^2 + d^2)^(7/2)*d/x^7","A",0
79,1,352,0,1.009220," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^9,x, algorithm=""maxima"")","-e^{8} \arcsin\left(\frac{e x}{d}\right) + \frac{125}{128} \, e^{8} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{9} x}{d^{2}} - \frac{125 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{8}}{128 \, d} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{9} x}{3 \, d^{4}} - \frac{125 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{8}}{384 \, d^{3}} - \frac{25 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{8}}{128 \, d^{5}} - \frac{8 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{7}}{15 \, d^{4} x} - \frac{25 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{6}}{128 \, d^{5} x^{2}} + \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{5}}{15 \, d^{4} x^{3}} + \frac{25 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{4}}{192 \, d^{3} x^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{3}}{5 \, d^{2} x^{5}} - \frac{25 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{2}}{48 \, d x^{6}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e}{7 \, x^{7}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{8 \, x^{8}}"," ",0,"-e^8*arcsin(e*x/d) + 125/128*e^8*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - sqrt(-e^2*x^2 + d^2)*e^9*x/d^2 - 125/128*sqrt(-e^2*x^2 + d^2)*e^8/d - 2/3*(-e^2*x^2 + d^2)^(3/2)*e^9*x/d^4 - 125/384*(-e^2*x^2 + d^2)^(3/2)*e^8/d^3 - 25/128*(-e^2*x^2 + d^2)^(5/2)*e^8/d^5 - 8/15*(-e^2*x^2 + d^2)^(5/2)*e^7/(d^4*x) - 25/128*(-e^2*x^2 + d^2)^(7/2)*e^6/(d^5*x^2) + 2/15*(-e^2*x^2 + d^2)^(7/2)*e^5/(d^4*x^3) + 25/192*(-e^2*x^2 + d^2)^(7/2)*e^4/(d^3*x^4) - 1/5*(-e^2*x^2 + d^2)^(7/2)*e^3/(d^2*x^5) - 25/48*(-e^2*x^2 + d^2)^(7/2)*e^2/(d*x^6) - 3/7*(-e^2*x^2 + d^2)^(7/2)*e/x^7 - 1/8*(-e^2*x^2 + d^2)^(7/2)*d/x^8","A",0
80,1,247,0,0.996951," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^10,x, algorithm=""maxima"")","\frac{55 \, e^{9} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{128 \, d} - \frac{55 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{9}}{128 \, d^{2}} - \frac{55 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{9}}{384 \, d^{4}} - \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{9}}{128 \, d^{6}} - \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{7}}{128 \, d^{6} x^{2}} + \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{5}}{192 \, d^{4} x^{4}} - \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{3}}{48 \, d^{2} x^{6}} - \frac{29 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{2}}{63 \, d x^{7}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e}{8 \, x^{8}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{9 \, x^{9}}"," ",0,"55/128*e^9*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d - 55/128*sqrt(-e^2*x^2 + d^2)*e^9/d^2 - 55/384*(-e^2*x^2 + d^2)^(3/2)*e^9/d^4 - 11/128*(-e^2*x^2 + d^2)^(5/2)*e^9/d^6 - 11/128*(-e^2*x^2 + d^2)^(7/2)*e^7/(d^6*x^2) + 11/192*(-e^2*x^2 + d^2)^(7/2)*e^5/(d^4*x^4) - 11/48*(-e^2*x^2 + d^2)^(7/2)*e^3/(d^2*x^6) - 29/63*(-e^2*x^2 + d^2)^(7/2)*e^2/(d*x^7) - 3/8*(-e^2*x^2 + d^2)^(7/2)*e/x^8 - 1/9*(-e^2*x^2 + d^2)^(7/2)*d/x^9","A",0
81,1,272,0,1.013145," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^11,x, algorithm=""maxima"")","\frac{33 \, e^{10} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{256 \, d^{2}} - \frac{33 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{10}}{256 \, d^{3}} - \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{10}}{256 \, d^{5}} - \frac{33 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{10}}{1280 \, d^{7}} - \frac{33 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{8}}{1280 \, d^{7} x^{2}} + \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{6}}{640 \, d^{5} x^{4}} - \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{4}}{160 \, d^{3} x^{6}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{3}}{21 \, d^{2} x^{7}} - \frac{33 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{2}}{80 \, d x^{8}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e}{3 \, x^{9}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{10 \, x^{10}}"," ",0,"33/256*e^10*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^2 - 33/256*sqrt(-e^2*x^2 + d^2)*e^10/d^3 - 11/256*(-e^2*x^2 + d^2)^(3/2)*e^10/d^5 - 33/1280*(-e^2*x^2 + d^2)^(5/2)*e^10/d^7 - 33/1280*(-e^2*x^2 + d^2)^(7/2)*e^8/(d^7*x^2) + 11/640*(-e^2*x^2 + d^2)^(7/2)*e^6/(d^5*x^4) - 11/160*(-e^2*x^2 + d^2)^(7/2)*e^4/(d^3*x^6) - 5/21*(-e^2*x^2 + d^2)^(7/2)*e^3/(d^2*x^7) - 33/80*(-e^2*x^2 + d^2)^(7/2)*e^2/(d*x^8) - 1/3*(-e^2*x^2 + d^2)^(7/2)*e/x^9 - 1/10*(-e^2*x^2 + d^2)^(7/2)*d/x^10","A",0
82,1,297,0,1.005099," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^12,x, algorithm=""maxima"")","\frac{19 \, e^{11} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{256 \, d^{3}} - \frac{19 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{11}}{256 \, d^{4}} - \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{11}}{768 \, d^{6}} - \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{11}}{1280 \, d^{8}} - \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{9}}{1280 \, d^{8} x^{2}} + \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{7}}{1920 \, d^{6} x^{4}} - \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{5}}{480 \, d^{4} x^{6}} - \frac{74 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{4}}{693 \, d^{3} x^{7}} - \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{3}}{80 \, d^{2} x^{8}} - \frac{37 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e^{2}}{99 \, d x^{9}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} e}{10 \, x^{10}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{11 \, x^{11}}"," ",0,"19/256*e^11*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^3 - 19/256*sqrt(-e^2*x^2 + d^2)*e^11/d^4 - 19/768*(-e^2*x^2 + d^2)^(3/2)*e^11/d^6 - 19/1280*(-e^2*x^2 + d^2)^(5/2)*e^11/d^8 - 19/1280*(-e^2*x^2 + d^2)^(7/2)*e^9/(d^8*x^2) + 19/1920*(-e^2*x^2 + d^2)^(7/2)*e^7/(d^6*x^4) - 19/480*(-e^2*x^2 + d^2)^(7/2)*e^5/(d^4*x^6) - 74/693*(-e^2*x^2 + d^2)^(7/2)*e^4/(d^3*x^7) - 19/80*(-e^2*x^2 + d^2)^(7/2)*e^3/(d^2*x^8) - 37/99*(-e^2*x^2 + d^2)^(7/2)*e^2/(d*x^9) - 3/10*(-e^2*x^2 + d^2)^(7/2)*e/x^10 - 1/11*(-e^2*x^2 + d^2)^(7/2)*d/x^11","A",0
83,1,305,0,1.027820," ","integrate(x^5*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{e x^{7}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{13}{30} \, d^{2} e x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{3 \, d x^{6}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{13 \, d^{2} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)}}{6 \, e} + \frac{19 \, d^{3} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{76 \, d^{5} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{152 \, d^{7}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}} + \frac{26 \, d^{4} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}} - \frac{91 \, d^{2} x}{30 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{5}} - \frac{13 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{6}}"," ",0,"-1/2*e*x^7/(-e^2*x^2 + d^2)^(5/2) + 13/30*d^2*e*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - 3*d*x^6/(-e^2*x^2 + d^2)^(5/2) - 13/6*d^2*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4))/e + 19*d^3*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 76/3*d^5*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 152/15*d^7/((-e^2*x^2 + d^2)^(5/2)*e^6) + 26/15*d^4*x/((-e^2*x^2 + d^2)^(3/2)*e^5) - 91/30*d^2*x/(sqrt(-e^2*x^2 + d^2)*e^5) - 13/2*d^2*arcsin(e*x/d)/e^6","B",0
84,1,324,0,1.018958," ","integrate(x^4*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{5} \, d e^{2} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{e x^{6}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - d x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} + \frac{9 \, d^{2} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d^{3} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{12 \, d^{4} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} - \frac{3 \, d^{5} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{24 \, d^{6}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{5}} + \frac{9 \, d^{3} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} - \frac{6 \, d x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{4}} - \frac{3 \, d \arcsin\left(\frac{e x}{d}\right)}{e^{5}}"," ",0,"1/5*d*e^2*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - e*x^6/(-e^2*x^2 + d^2)^(5/2) - d*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) + 9*d^2*x^4/((-e^2*x^2 + d^2)^(5/2)*e) + 1/2*d^3*x^3/((-e^2*x^2 + d^2)^(5/2)*e^2) - 12*d^4*x^2/((-e^2*x^2 + d^2)^(5/2)*e^3) - 3/10*d^5*x/((-e^2*x^2 + d^2)^(5/2)*e^4) + 24/5*d^6/((-e^2*x^2 + d^2)^(5/2)*e^5) + 9/10*d^3*x/((-e^2*x^2 + d^2)^(3/2)*e^4) - 6/5*d*x/(sqrt(-e^2*x^2 + d^2)*e^4) - 3*d*arcsin(e*x/d)/e^5","B",0
85,1,296,0,1.017000," ","integrate(x^3*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{15} \, e^{3} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{1}{3} \, e x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} + \frac{3 \, d x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{3 \, d^{2} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} - \frac{11 \, d^{3} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{9 \, d^{4} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} + \frac{22 \, d^{5}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{17 \, d^{2} x}{30 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} + \frac{2 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3}} - \frac{\arcsin\left(\frac{e x}{d}\right)}{e^{4}}"," ",0,"1/15*e^3*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - 1/3*e*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) + 3*d*x^4/(-e^2*x^2 + d^2)^(5/2) + 3/2*d^2*x^3/((-e^2*x^2 + d^2)^(5/2)*e) - 11/3*d^3*x^2/((-e^2*x^2 + d^2)^(5/2)*e^2) - 9/10*d^4*x/((-e^2*x^2 + d^2)^(5/2)*e^3) + 22/15*d^5/((-e^2*x^2 + d^2)^(5/2)*e^4) + 17/30*d^2*x/((-e^2*x^2 + d^2)^(3/2)*e^3) + 2/15*x/(sqrt(-e^2*x^2 + d^2)*e^3) - arcsin(e*x/d)/e^4","B",0
86,1,154,0,0.452931," ","integrate(x^2*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{3 \, d x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{d^{2} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} - \frac{7 \, d^{3} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{2 \, d^{4}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} + \frac{7 \, d x}{30 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} + \frac{7 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{2}}"," ",0,"e*x^4/(-e^2*x^2 + d^2)^(5/2) + 3/2*d*x^3/(-e^2*x^2 + d^2)^(5/2) - 1/3*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e) - 7/10*d^3*x/((-e^2*x^2 + d^2)^(5/2)*e^2) + 2/15*d^4/((-e^2*x^2 + d^2)^(5/2)*e^3) + 7/30*d*x/((-e^2*x^2 + d^2)^(3/2)*e^2) + 7/15*x/(sqrt(-e^2*x^2 + d^2)*d*e^2)","A",0
87,1,128,0,0.443057," ","integrate(x*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{d x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{3 \, d^{2} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} - \frac{d^{3}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e} - \frac{x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e}"," ",0,"1/2*e*x^3/(-e^2*x^2 + d^2)^(5/2) + d*x^2/(-e^2*x^2 + d^2)^(5/2) + 3/10*d^2*x/((-e^2*x^2 + d^2)^(5/2)*e) - 1/5*d^3/((-e^2*x^2 + d^2)^(5/2)*e^2) - 1/10*x/((-e^2*x^2 + d^2)^(3/2)*e) - 1/5*x/(sqrt(-e^2*x^2 + d^2)*d^2*e)","A",0
88,1,101,0,0.438963," ","integrate((e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{4 \, d x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{7 \, d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}"," ",0,"1/3*e*x^2/(-e^2*x^2 + d^2)^(5/2) + 4/5*d*x/(-e^2*x^2 + d^2)^(5/2) + 7/15*d^2/((-e^2*x^2 + d^2)^(5/2)*e) + 1/15*x/((-e^2*x^2 + d^2)^(3/2)*d) + 2/15*x/(sqrt(-e^2*x^2 + d^2)*d^3)","A",0
89,1,152,0,0.458093," ","integrate((e*x+d)^3/x/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{4 \, e x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{4 \, d}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{11 \, e x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}} + \frac{1}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{22 \, e x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4}} - \frac{\log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d^{4}} + \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} d^{3}}"," ",0,"4/5*e*x/(-e^2*x^2 + d^2)^(5/2) + 4/5*d/(-e^2*x^2 + d^2)^(5/2) + 11/15*e*x/((-e^2*x^2 + d^2)^(3/2)*d^2) + 1/3/((-e^2*x^2 + d^2)^(3/2)*d) + 22/15*e*x/(sqrt(-e^2*x^2 + d^2)*d^4) - log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^4 + 1/(sqrt(-e^2*x^2 + d^2)*d^3)","A",0
90,1,184,0,0.472349," ","integrate((e*x+d)^3/x^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{9 \, e^{2} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d} + \frac{4 \, e}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{12 \, e^{2} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}} + \frac{e}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}} - \frac{d}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x} + \frac{24 \, e^{2} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}} - \frac{3 \, e \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d^{5}} + \frac{3 \, e}{\sqrt{-e^{2} x^{2} + d^{2}} d^{4}}"," ",0,"9/5*e^2*x/((-e^2*x^2 + d^2)^(5/2)*d) + 4/5*e/(-e^2*x^2 + d^2)^(5/2) + 12/5*e^2*x/((-e^2*x^2 + d^2)^(3/2)*d^3) + e/((-e^2*x^2 + d^2)^(3/2)*d^2) - d/((-e^2*x^2 + d^2)^(5/2)*x) + 24/5*e^2*x/(sqrt(-e^2*x^2 + d^2)*d^5) - 3*e*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^5 + 3*e/(sqrt(-e^2*x^2 + d^2)*d^4)","A",0
91,1,216,0,0.475340," ","integrate((e*x+d)^3/x^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{19 \, e^{3} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}} + \frac{13 \, e^{2}}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d} + \frac{76 \, e^{3} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}} + \frac{13 \, e^{2}}{6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}} - \frac{3 \, e}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x} + \frac{152 \, e^{3} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6}} - \frac{13 \, e^{2} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{2 \, d^{6}} + \frac{13 \, e^{2}}{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}} - \frac{d}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x^{2}}"," ",0,"19/5*e^3*x/((-e^2*x^2 + d^2)^(5/2)*d^2) + 13/10*e^2/((-e^2*x^2 + d^2)^(5/2)*d) + 76/15*e^3*x/((-e^2*x^2 + d^2)^(3/2)*d^4) + 13/6*e^2/((-e^2*x^2 + d^2)^(3/2)*d^3) - 3*e/((-e^2*x^2 + d^2)^(5/2)*x) + 152/15*e^3*x/(sqrt(-e^2*x^2 + d^2)*d^6) - 13/2*e^2*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^6 + 13/2*e^2/(sqrt(-e^2*x^2 + d^2)*d^5) - 1/2*d/((-e^2*x^2 + d^2)^(5/2)*x^2)","A",0
92,1,125,0,0.989963," ","integrate(x^4*(-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\frac{3 \, d^{5} \arcsin\left(\frac{e x}{d}\right)}{8 \, e^{5}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} x}{8 \, e^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} x^{2}}{5 \, e^{3}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{4}}{e^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d x}{4 \, e^{4}} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{15 \, e^{5}}"," ",0,"3/8*d^5*arcsin(e*x/d)/e^5 - 5/8*sqrt(-e^2*x^2 + d^2)*d^3*x/e^4 - 1/5*(-e^2*x^2 + d^2)^(3/2)*x^2/e^3 + sqrt(-e^2*x^2 + d^2)*d^4/e^5 + 1/4*(-e^2*x^2 + d^2)^(3/2)*d*x/e^4 - 7/15*(-e^2*x^2 + d^2)^(3/2)*d^2/e^5","A",0
93,1,101,0,0.989843," ","integrate(x^3*(-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{3 \, d^{4} \arcsin\left(\frac{e x}{d}\right)}{8 \, e^{4}} + \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} x}{8 \, e^{3}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{e^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} x}{4 \, e^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{3 \, e^{4}}"," ",0,"-3/8*d^4*arcsin(e*x/d)/e^4 + 5/8*sqrt(-e^2*x^2 + d^2)*d^2*x/e^3 - sqrt(-e^2*x^2 + d^2)*d^3/e^4 - 1/4*(-e^2*x^2 + d^2)^(3/2)*x/e^3 + 1/3*(-e^2*x^2 + d^2)^(3/2)*d/e^4","A",0
94,1,77,0,0.987564," ","integrate(x^2*(-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\frac{d^{3} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{3}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d x}{2 \, e^{2}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{e^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}{3 \, e^{3}}"," ",0,"1/2*d^3*arcsin(e*x/d)/e^3 - 1/2*sqrt(-e^2*x^2 + d^2)*d*x/e^2 + sqrt(-e^2*x^2 + d^2)*d^2/e^3 - 1/3*(-e^2*x^2 + d^2)^(3/2)/e^3","A",0
95,1,56,0,0.970845," ","integrate(x*(-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{2}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} x}{2 \, e} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d}{e^{2}}"," ",0,"-1/2*d^2*arcsin(e*x/d)/e^2 + 1/2*sqrt(-e^2*x^2 + d^2)*x/e - sqrt(-e^2*x^2 + d^2)*d/e^2","A",0
96,1,31,0,0.972465," ","integrate((-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\frac{d \arcsin\left(\frac{e x}{d}\right)}{e} + \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{e}"," ",0,"d*arcsin(e*x/d)/e + sqrt(-e^2*x^2 + d^2)/e","A",0
97,1,56,0,0.988174," ","integrate((-e^2*x^2+d^2)^(1/2)/x/(e*x+d),x, algorithm=""maxima"")","-\frac{e {\left(\frac{d \arcsin\left(\frac{e x}{d}\right)}{e} + \frac{d \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{e}\right)}}{d}"," ",0,"-e*(d*arcsin(e*x/d)/e + d*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/e)/d","A",0
98,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^2/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)/((e*x + d)*x^2), x)","F",0
99,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^3/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)/((e*x + d)*x^3), x)","F",0
100,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^4/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{{\left(e x + d\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)/((e*x + d)*x^4), x)","F",0
101,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^5/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{{\left(e x + d\right)} x^{5}}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)/((e*x + d)*x^5), x)","F",0
102,1,174,0,1.011323," ","integrate(x^2*(-e^2*x^2+d^2)^(3/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{i \, d^{5} \arcsin\left(\frac{e x}{d} + 2\right)}{2 \, e^{3}} - \frac{3 \, d^{5} \arcsin\left(\frac{e x}{d}\right)}{8 \, e^{3}} + \frac{\sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{3} x}{2 \, e^{2}} - \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} x}{8 \, e^{2}} + \frac{\sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{4}}{e^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d x}{4 \, e^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{3 \, e^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{5 \, e^{3}}"," ",0,"-1/2*I*d^5*arcsin(e*x/d + 2)/e^3 - 3/8*d^5*arcsin(e*x/d)/e^3 + 1/2*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^3*x/e^2 - 3/8*sqrt(-e^2*x^2 + d^2)*d^3*x/e^2 + sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^4/e^3 - 1/4*(-e^2*x^2 + d^2)^(3/2)*d*x/e^2 + 1/3*(-e^2*x^2 + d^2)^(3/2)*d^2/e^3 - 1/5*(-e^2*x^2 + d^2)^(5/2)/e^3","C",0
103,1,246,0,1.042218," ","integrate(x^4*(-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{3 i \, d^{9} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e^{5}} - \frac{45 \, d^{9} \arcsin\left(\frac{e x}{d}\right)}{128 \, e^{5}} + \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{7} x}{8 \, e^{4}} - \frac{45 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7} x}{128 \, e^{4}} + \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{8}}{4 \, e^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} x}{64 \, e^{4}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} x}{16 \, e^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, e^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4}}{5 \, e^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d x}{8 \, e^{4}} - \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{2}}{63 \, e^{5}}"," ",0,"-3/8*I*d^9*arcsin(e*x/d + 2)/e^5 - 45/128*d^9*arcsin(e*x/d)/e^5 + 3/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^7*x/e^4 - 45/128*sqrt(-e^2*x^2 + d^2)*d^7*x/e^4 + 3/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^8/e^5 + 1/64*(-e^2*x^2 + d^2)^(3/2)*d^5*x/e^4 - 3/16*(-e^2*x^2 + d^2)^(5/2)*d^3*x/e^4 - 1/9*(-e^2*x^2 + d^2)^(7/2)*x^2/e^3 + 1/5*(-e^2*x^2 + d^2)^(5/2)*d^4/e^5 + 1/8*(-e^2*x^2 + d^2)^(7/2)*d*x/e^4 - 11/63*(-e^2*x^2 + d^2)^(7/2)*d^2/e^5","C",0
104,1,221,0,1.033450," ","integrate(x^3*(-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","\frac{3 i \, d^{8} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e^{4}} + \frac{45 \, d^{8} \arcsin\left(\frac{e x}{d}\right)}{128 \, e^{4}} - \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{6} x}{8 \, e^{3}} + \frac{45 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6} x}{128 \, e^{3}} - \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{7}}{4 \, e^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} x}{64 \, e^{3}} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} x}{16 \, e^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}}{5 \, e^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} x}{8 \, e^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{7 \, e^{4}}"," ",0,"3/8*I*d^8*arcsin(e*x/d + 2)/e^4 + 45/128*d^8*arcsin(e*x/d)/e^4 - 3/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^6*x/e^3 + 45/128*sqrt(-e^2*x^2 + d^2)*d^6*x/e^3 - 3/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^7/e^4 - 1/64*(-e^2*x^2 + d^2)^(3/2)*d^4*x/e^3 + 3/16*(-e^2*x^2 + d^2)^(5/2)*d^2*x/e^3 - 1/5*(-e^2*x^2 + d^2)^(5/2)*d^3/e^4 - 1/8*(-e^2*x^2 + d^2)^(7/2)*x/e^3 + 1/7*(-e^2*x^2 + d^2)^(7/2)*d/e^4","C",0
105,1,198,0,1.044565," ","integrate(x^2*(-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{3 i \, d^{7} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e^{3}} - \frac{5 \, d^{7} \arcsin\left(\frac{e x}{d}\right)}{16 \, e^{3}} + \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{5} x}{8 \, e^{2}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5} x}{16 \, e^{2}} + \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{6}}{4 \, e^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} x}{24 \, e^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x}{6 \, e^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}}{5 \, e^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{7 \, e^{3}}"," ",0,"-3/8*I*d^7*arcsin(e*x/d + 2)/e^3 - 5/16*d^7*arcsin(e*x/d)/e^3 + 3/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^5*x/e^2 - 5/16*sqrt(-e^2*x^2 + d^2)*d^5*x/e^2 + 3/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^6/e^3 + 1/24*(-e^2*x^2 + d^2)^(3/2)*d^3*x/e^2 - 1/6*(-e^2*x^2 + d^2)^(5/2)*d*x/e^2 + 1/5*(-e^2*x^2 + d^2)^(5/2)*d^2/e^3 - 1/7*(-e^2*x^2 + d^2)^(7/2)/e^3","C",0
106,1,176,0,1.016163," ","integrate(x*(-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","\frac{3 i \, d^{6} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e^{2}} + \frac{5 \, d^{6} \arcsin\left(\frac{e x}{d}\right)}{16 \, e^{2}} - \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{4} x}{8 \, e} + \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} x}{16 \, e} - \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{5}}{4 \, e^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} x}{24 \, e} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x}{6 \, e} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{5 \, e^{2}}"," ",0,"3/8*I*d^6*arcsin(e*x/d + 2)/e^2 + 5/16*d^6*arcsin(e*x/d)/e^2 - 3/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^4*x/e + 5/16*sqrt(-e^2*x^2 + d^2)*d^4*x/e - 3/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^5/e^2 - 1/24*(-e^2*x^2 + d^2)^(3/2)*d^2*x/e + 1/6*(-e^2*x^2 + d^2)^(5/2)*x/e - 1/5*(-e^2*x^2 + d^2)^(5/2)*d/e^2","C",0
107,1,109,0,0.992442," ","integrate((-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{3 i \, d^{5} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e} + \frac{3}{8} \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{3} x + \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{4}}{4 \, e} + \frac{1}{4} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d x + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{5 \, e}"," ",0,"-3/8*I*d^5*arcsin(e*x/d + 2)/e + 3/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^3*x + 3/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^4/e + 1/4*(-e^2*x^2 + d^2)^(3/2)*d*x + 1/5*(-e^2*x^2 + d^2)^(5/2)/e","C",0
108,1,124,0,0.989880," ","integrate((-e^2*x^2+d^2)^(5/2)/x/(e*x+d),x, algorithm=""maxima"")","-\frac{3}{8} \, d^{4} \arcsin\left(\frac{e x}{d}\right) - d^{4} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{3}{8} \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e x + \sqrt{-e^{2} x^{2} + d^{2}} d^{3} - \frac{1}{4} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e x + \frac{1}{3} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d"," ",0,"-3/8*d^4*arcsin(e*x/d) - d^4*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 3/8*sqrt(-e^2*x^2 + d^2)*d^2*e*x + sqrt(-e^2*x^2 + d^2)*d^3 - 1/4*(-e^2*x^2 + d^2)^(3/2)*e*x + 1/3*(-e^2*x^2 + d^2)^(3/2)*d","A",0
109,1,131,0,0.988765," ","integrate((-e^2*x^2+d^2)^(5/2)/x^2/(e*x+d),x, algorithm=""maxima"")","-\frac{3}{2} \, d^{3} e \arcsin\left(\frac{e x}{d}\right) + d^{3} e \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \frac{1}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{2} x - \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e - \frac{1}{3} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{x}"," ",0,"-3/2*d^3*e*arcsin(e*x/d) + d^3*e*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - 1/2*sqrt(-e^2*x^2 + d^2)*d*e^2*x - sqrt(-e^2*x^2 + d^2)*d^2*e - 1/3*(-e^2*x^2 + d^2)^(3/2)*e - sqrt(-e^2*x^2 + d^2)*d^3/x","A",0
110,1,138,0,0.974921," ","integrate((-e^2*x^2+d^2)^(5/2)/x^3/(e*x+d),x, algorithm=""maxima"")","\frac{3}{2} \, d^{2} e^{2} \arcsin\left(\frac{e x}{d}\right) + \frac{3}{2} \, d^{2} e^{2} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{1}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3} x - \frac{3}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{2} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{2} e}{x} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{2 \, x^{2}}"," ",0,"3/2*d^2*e^2*arcsin(e*x/d) + 3/2*d^2*e^2*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + 1/2*sqrt(-e^2*x^2 + d^2)*e^3*x - 3/2*sqrt(-e^2*x^2 + d^2)*d*e^2 + sqrt(-e^2*x^2 + d^2)*d^2*e/x - 1/2*(-e^2*x^2 + d^2)^(3/2)*d/x^2","A",0
111,1,132,0,0.985564," ","integrate((-e^2*x^2+d^2)^(5/2)/x^4/(e*x+d),x, algorithm=""maxima"")","d e^{3} \arcsin\left(\frac{e x}{d}\right) - \frac{3}{2} \, d e^{3} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{3}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d e^{2}}{x} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{2 \, x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{3 \, x^{3}}"," ",0,"d*e^3*arcsin(e*x/d) - 3/2*d*e^3*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + 3/2*sqrt(-e^2*x^2 + d^2)*e^3 + sqrt(-e^2*x^2 + d^2)*d*e^2/x + 1/2*(-e^2*x^2 + d^2)^(3/2)*e/x^2 - 1/3*(-e^2*x^2 + d^2)^(3/2)*d/x^3","A",0
112,1,159,0,1.009487," ","integrate((-e^2*x^2+d^2)^(5/2)/x^5/(e*x+d),x, algorithm=""maxima"")","-e^{4} \arcsin\left(\frac{e x}{d}\right) - \frac{3}{8} \, e^{4} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{4}}{8 \, d} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{3}}{x} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{8 \, d x^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{3 \, x^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{4 \, x^{4}}"," ",0,"-e^4*arcsin(e*x/d) - 3/8*e^4*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + 3/8*sqrt(-e^2*x^2 + d^2)*e^4/d - sqrt(-e^2*x^2 + d^2)*e^3/x + 3/8*(-e^2*x^2 + d^2)^(3/2)*e^2/(d*x^2) + 1/3*(-e^2*x^2 + d^2)^(3/2)*e/x^3 - 1/4*(-e^2*x^2 + d^2)^(3/2)*d/x^4","A",0
113,1,153,0,1.002229," ","integrate((-e^2*x^2+d^2)^(5/2)/x^6/(e*x+d),x, algorithm=""maxima"")","\frac{3 \, e^{5} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{8 \, d} - \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{5}}{8 \, d^{2}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}}{8 \, d^{2} x^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{5 \, d x^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{4 \, x^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{5 \, x^{5}}"," ",0,"3/8*e^5*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d - 3/8*sqrt(-e^2*x^2 + d^2)*e^5/d^2 - 3/8*(-e^2*x^2 + d^2)^(3/2)*e^3/(d^2*x^2) + 1/5*(-e^2*x^2 + d^2)^(3/2)*e^2/(d*x^3) + 1/4*(-e^2*x^2 + d^2)^(3/2)*e/x^4 - 1/5*(-e^2*x^2 + d^2)^(3/2)*d/x^5","A",0
114,1,178,0,0.996086," ","integrate((-e^2*x^2+d^2)^(5/2)/x^7/(e*x+d),x, algorithm=""maxima"")","-\frac{e^{6} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{16 \, d^{2}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{6}}{16 \, d^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}{16 \, d^{3} x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}}{5 \, d^{2} x^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{8 \, d x^{4}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{5 \, x^{5}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{6 \, x^{6}}"," ",0,"-1/16*e^6*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^2 + 1/16*sqrt(-e^2*x^2 + d^2)*e^6/d^3 + 1/16*(-e^2*x^2 + d^2)^(3/2)*e^4/(d^3*x^2) - 1/5*(-e^2*x^2 + d^2)^(3/2)*e^3/(d^2*x^3) + 1/8*(-e^2*x^2 + d^2)^(3/2)*e^2/(d*x^4) + 1/5*(-e^2*x^2 + d^2)^(3/2)*e/x^5 - 1/6*(-e^2*x^2 + d^2)^(3/2)*d/x^6","A",0
115,1,203,0,0.993982," ","integrate((-e^2*x^2+d^2)^(5/2)/x^8/(e*x+d),x, algorithm=""maxima"")","\frac{e^{7} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{16 \, d^{3}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{7}}{16 \, d^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}}{16 \, d^{4} x^{2}} + \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}{35 \, d^{3} x^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}}{8 \, d^{2} x^{4}} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{35 \, d x^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{6 \, x^{6}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{7 \, x^{7}}"," ",0,"1/16*e^7*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^3 - 1/16*sqrt(-e^2*x^2 + d^2)*e^7/d^4 - 1/16*(-e^2*x^2 + d^2)^(3/2)*e^5/(d^4*x^2) + 2/35*(-e^2*x^2 + d^2)^(3/2)*e^4/(d^3*x^3) - 1/8*(-e^2*x^2 + d^2)^(3/2)*e^3/(d^2*x^4) + 3/35*(-e^2*x^2 + d^2)^(3/2)*e^2/(d*x^5) + 1/6*(-e^2*x^2 + d^2)^(3/2)*e/x^6 - 1/7*(-e^2*x^2 + d^2)^(3/2)*d/x^7","A",0
116,1,228,0,0.997972," ","integrate((-e^2*x^2+d^2)^(5/2)/x^9/(e*x+d),x, algorithm=""maxima"")","-\frac{3 \, e^{8} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{128 \, d^{4}} + \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{8}}{128 \, d^{5}} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6}}{128 \, d^{5} x^{2}} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}}{35 \, d^{4} x^{3}} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}{64 \, d^{3} x^{4}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}}{35 \, d^{2} x^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{16 \, d x^{6}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{7 \, x^{7}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{8 \, x^{8}}"," ",0,"-3/128*e^8*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^4 + 3/128*sqrt(-e^2*x^2 + d^2)*e^8/d^5 + 3/128*(-e^2*x^2 + d^2)^(3/2)*e^6/(d^5*x^2) - 2/35*(-e^2*x^2 + d^2)^(3/2)*e^5/(d^4*x^3) + 3/64*(-e^2*x^2 + d^2)^(3/2)*e^4/(d^3*x^4) - 3/35*(-e^2*x^2 + d^2)^(3/2)*e^3/(d^2*x^5) + 1/16*(-e^2*x^2 + d^2)^(3/2)*e^2/(d*x^6) + 1/7*(-e^2*x^2 + d^2)^(3/2)*e/x^7 - 1/8*(-e^2*x^2 + d^2)^(3/2)*d/x^8","A",0
117,1,28,0,0.976176," ","integrate(x*(-x^2+1)^(1/2)/(1+x),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} x - \sqrt{-x^{2} + 1} - \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"1/2*sqrt(-x^2 + 1)*x - sqrt(-x^2 + 1) - 1/2*arcsin(x)","A",0
118,1,68,0,0.989444," ","integrate((-a^2*x^2+1)^(3/2)/x^2/(-a*x+1),x, algorithm=""maxima"")","-a \arcsin\left(a x\right) - a \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) + \sqrt{-a^{2} x^{2} + 1} a - \frac{\sqrt{-a^{2} x^{2} + 1}}{x}"," ",0,"-a*arcsin(a*x) - a*log(2*sqrt(-a^2*x^2 + 1)/abs(x) + 2/abs(x)) + sqrt(-a^2*x^2 + 1)*a - sqrt(-a^2*x^2 + 1)/x","A",0
119,1,113,0,1.006757," ","integrate(x^4/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{e^{6} x + d e^{5}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} x^{2}}{3 \, e^{3}} - \frac{3 \, d^{3} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{5}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d x}{2 \, e^{4}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{3 \, e^{5}}"," ",0,"-sqrt(-e^2*x^2 + d^2)*d^3/(e^6*x + d*e^5) - 1/3*sqrt(-e^2*x^2 + d^2)*x^2/e^3 - 3/2*d^3*arcsin(e*x/d)/e^5 + 1/2*sqrt(-e^2*x^2 + d^2)*d*x/e^4 - 5/3*sqrt(-e^2*x^2 + d^2)*d^2/e^5","A",0
120,1,86,0,0.996690," ","integrate(x^3/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{e^{5} x + d e^{4}} + \frac{3 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{4}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} x}{2 \, e^{3}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} d}{e^{4}}"," ",0,"sqrt(-e^2*x^2 + d^2)*d^2/(e^5*x + d*e^4) + 3/2*d^2*arcsin(e*x/d)/e^4 - 1/2*sqrt(-e^2*x^2 + d^2)*x/e^3 + sqrt(-e^2*x^2 + d^2)*d/e^4","A",0
121,1,63,0,0.976313," ","integrate(x^2/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}} d}{e^{4} x + d e^{3}} - \frac{d \arcsin\left(\frac{e x}{d}\right)}{e^{3}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{e^{3}}"," ",0,"-sqrt(-e^2*x^2 + d^2)*d/(e^4*x + d*e^3) - d*arcsin(e*x/d)/e^3 - sqrt(-e^2*x^2 + d^2)/e^3","A",0
122,1,40,0,0.974114," ","integrate(x/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-e^{2} x^{2} + d^{2}}}{e^{3} x + d e^{2}} + \frac{\arcsin\left(\frac{e x}{d}\right)}{e^{2}}"," ",0,"sqrt(-e^2*x^2 + d^2)/(e^3*x + d*e^2) + arcsin(e*x/d)/e^2","A",0
123,1,30,0,0.975952," ","integrate(1/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}}}{d e^{2} x + d^{2} e}"," ",0,"-sqrt(-e^2*x^2 + d^2)/(d*e^2*x + d^2*e)","A",0
124,0,0,0,0.000000," ","integrate(1/x/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} {\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(1/(sqrt(-e^2*x^2 + d^2)*(e*x + d)*x), x)","F",0
125,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} {\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-e^2*x^2 + d^2)*(e*x + d)*x^2), x)","F",0
126,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} {\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(-e^2*x^2 + d^2)*(e*x + d)*x^3), x)","F",0
127,1,151,0,1.014799," ","integrate(x^5/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\frac{d^{4}}{3 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{7} x + \sqrt{-e^{2} x^{2} + d^{2}} d e^{6}\right)}} - \frac{x^{3}}{2 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3}} + \frac{d x^{2}}{\sqrt{-e^{2} x^{2} + d^{2}} e^{4}} + \frac{17 \, d^{2} x}{6 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{5}} - \frac{5 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{6}} - \frac{3 \, d^{3}}{\sqrt{-e^{2} x^{2} + d^{2}} e^{6}}"," ",0,"1/3*d^4/(sqrt(-e^2*x^2 + d^2)*e^7*x + sqrt(-e^2*x^2 + d^2)*d*e^6) - 1/2*x^3/(sqrt(-e^2*x^2 + d^2)*e^3) + d*x^2/(sqrt(-e^2*x^2 + d^2)*e^4) + 17/6*d^2*x/(sqrt(-e^2*x^2 + d^2)*e^5) - 5/2*d^2*arcsin(e*x/d)/e^6 - 3*d^3/(sqrt(-e^2*x^2 + d^2)*e^6)","A",0
128,1,124,0,1.010265," ","integrate(x^4/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","-\frac{d^{3}}{3 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{6} x + \sqrt{-e^{2} x^{2} + d^{2}} d e^{5}\right)}} - \frac{x^{2}}{\sqrt{-e^{2} x^{2} + d^{2}} e^{3}} - \frac{4 \, d x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{4}} + \frac{d \arcsin\left(\frac{e x}{d}\right)}{e^{5}} + \frac{3 \, d^{2}}{\sqrt{-e^{2} x^{2} + d^{2}} e^{5}}"," ",0,"-1/3*d^3/(sqrt(-e^2*x^2 + d^2)*e^6*x + sqrt(-e^2*x^2 + d^2)*d*e^5) - x^2/(sqrt(-e^2*x^2 + d^2)*e^3) - 4/3*d*x/(sqrt(-e^2*x^2 + d^2)*e^4) + d*arcsin(e*x/d)/e^5 + 3*d^2/(sqrt(-e^2*x^2 + d^2)*e^5)","A",0
129,1,99,0,1.002580," ","integrate(x^3/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\frac{d^{2}}{3 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{5} x + \sqrt{-e^{2} x^{2} + d^{2}} d e^{4}\right)}} + \frac{4 \, x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3}} - \frac{\arcsin\left(\frac{e x}{d}\right)}{e^{4}} - \frac{d}{\sqrt{-e^{2} x^{2} + d^{2}} e^{4}}"," ",0,"1/3*d^2/(sqrt(-e^2*x^2 + d^2)*e^5*x + sqrt(-e^2*x^2 + d^2)*d*e^4) + 4/3*x/(sqrt(-e^2*x^2 + d^2)*e^3) - arcsin(e*x/d)/e^4 - d/(sqrt(-e^2*x^2 + d^2)*e^4)","A",0
130,1,86,0,0.464175," ","integrate(x^2/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","-\frac{d}{3 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{4} x + \sqrt{-e^{2} x^{2} + d^{2}} d e^{3}\right)}} - \frac{x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{2}} + \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} e^{3}}"," ",0,"-1/3*d/(sqrt(-e^2*x^2 + d^2)*e^4*x + sqrt(-e^2*x^2 + d^2)*d*e^3) - 1/3*x/(sqrt(-e^2*x^2 + d^2)*d*e^2) + 1/(sqrt(-e^2*x^2 + d^2)*e^3)","A",0
131,1,67,0,0.458117," ","integrate(x/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{3 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{3} x + \sqrt{-e^{2} x^{2} + d^{2}} d e^{2}\right)}} + \frac{x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e}"," ",0,"1/3/(sqrt(-e^2*x^2 + d^2)*e^3*x + sqrt(-e^2*x^2 + d^2)*d*e^2) + 1/3*x/(sqrt(-e^2*x^2 + d^2)*d^2*e)","A",0
132,1,65,0,0.452693," ","integrate(1/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} d e^{2} x + \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e\right)}} + \frac{2 \, x}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}"," ",0,"-1/3/(sqrt(-e^2*x^2 + d^2)*d*e^2*x + sqrt(-e^2*x^2 + d^2)*d^2*e) + 2/3*x/(sqrt(-e^2*x^2 + d^2)*d^3)","A",0
133,0,0,0,0.000000," ","integrate(1/x/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(3/2)*(e*x + d)*x), x)","F",0
134,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(3/2)*(e*x + d)*x^2), x)","F",0
135,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(3/2)*(e*x + d)*x^3), x)","F",0
136,1,289,0,1.090950," ","integrate(x^7/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{d^{6}}{5 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{9} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{8}\right)}} - \frac{x^{5}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} + \frac{d x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} + \frac{25 \, d^{2} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}} - \frac{65 \, d^{3} x^{2}}{6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6}} - \frac{164 \, d^{4} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{7}} - \frac{7 \, d x^{2}}{6 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{6}} + \frac{53 \, d^{5}}{6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{8}} + \frac{229 \, d^{2} x}{30 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{7}} + \frac{7 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{8}} - \frac{14 \, d^{3}}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{8}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{6 \, e^{8}}"," ",0,"1/5*d^6/((-e^2*x^2 + d^2)^(3/2)*e^9*x + (-e^2*x^2 + d^2)^(3/2)*d*e^8) - 1/2*x^5/((-e^2*x^2 + d^2)^(3/2)*e^3) + d*x^4/((-e^2*x^2 + d^2)^(3/2)*e^4) + 25/2*d^2*x^3/((-e^2*x^2 + d^2)^(3/2)*e^5) - 65/6*d^3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^6) - 164/15*d^4*x/((-e^2*x^2 + d^2)^(3/2)*e^7) - 7/6*d*x^2/(sqrt(-e^2*x^2 + d^2)*e^6) + 53/6*d^5/((-e^2*x^2 + d^2)^(3/2)*e^8) + 229/30*d^2*x/(sqrt(-e^2*x^2 + d^2)*e^7) + 7/2*d^2*arcsin(e*x/d)/e^8 - 14/3*d^3/(sqrt(-e^2*x^2 + d^2)*e^8) - 7/6*sqrt(-e^2*x^2 + d^2)*d/e^8","B",0
137,1,259,0,1.091215," ","integrate(x^6/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{d^{5}}{5 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{8} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{7}\right)}} - \frac{x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} - \frac{5 \, d x^{3}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} + \frac{20 \, d^{2} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}} + \frac{64 \, d^{3} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6}} + \frac{x^{2}}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{5}} - \frac{14 \, d^{4}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{7}} - \frac{52 \, d x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{6}} - \frac{d \arcsin\left(\frac{e x}{d}\right)}{e^{7}} + \frac{4 \, d^{2}}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{7}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{3 \, e^{7}}"," ",0,"-1/5*d^5/((-e^2*x^2 + d^2)^(3/2)*e^8*x + (-e^2*x^2 + d^2)^(3/2)*d*e^7) - x^4/((-e^2*x^2 + d^2)^(3/2)*e^3) - 5*d*x^3/((-e^2*x^2 + d^2)^(3/2)*e^4) + 20/3*d^2*x^2/((-e^2*x^2 + d^2)^(3/2)*e^5) + 64/15*d^3*x/((-e^2*x^2 + d^2)^(3/2)*e^6) + 1/3*x^2/(sqrt(-e^2*x^2 + d^2)*e^5) - 14/3*d^4/((-e^2*x^2 + d^2)^(3/2)*e^7) - 52/15*d*x/(sqrt(-e^2*x^2 + d^2)*e^6) - d*arcsin(e*x/d)/e^7 + 4/3*d^2/(sqrt(-e^2*x^2 + d^2)*e^7) + 1/3*sqrt(-e^2*x^2 + d^2)/e^7","A",0
138,1,234,0,1.059572," ","integrate(x^5/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{d^{4}}{5 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{7} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{6}\right)}} + \frac{x^{3}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} - \frac{8 \, d x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} - \frac{4 \, d^{2} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}} - \frac{x^{2}}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{4}} + \frac{2 \, d^{3}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6}} - \frac{8 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{5}} + \frac{\arcsin\left(\frac{e x}{d}\right)}{e^{6}} - \frac{4 \, d}{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{6}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{3 \, d e^{6}}"," ",0,"1/5*d^4/((-e^2*x^2 + d^2)^(3/2)*e^7*x + (-e^2*x^2 + d^2)^(3/2)*d*e^6) + x^3/((-e^2*x^2 + d^2)^(3/2)*e^3) - 8/3*d*x^2/((-e^2*x^2 + d^2)^(3/2)*e^4) - 4/15*d^2*x/((-e^2*x^2 + d^2)^(3/2)*e^5) - 1/3*x^2/(sqrt(-e^2*x^2 + d^2)*d*e^4) + 2*d^3/((-e^2*x^2 + d^2)^(3/2)*e^6) - 8/15*x/(sqrt(-e^2*x^2 + d^2)*e^5) + arcsin(e*x/d)/e^6 - 4/3*d/(sqrt(-e^2*x^2 + d^2)*e^6) - 1/3*sqrt(-e^2*x^2 + d^2)/(d*e^6)","B",0
139,1,134,0,0.498535," ","integrate(x^4/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{d^{3}}{5 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{5}\right)}} + \frac{x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} - \frac{2 \, d x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} - \frac{d^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}} + \frac{x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{4}}"," ",0,"-1/5*d^3/((-e^2*x^2 + d^2)^(3/2)*e^6*x + (-e^2*x^2 + d^2)^(3/2)*d*e^5) + x^2/((-e^2*x^2 + d^2)^(3/2)*e^3) - 2/5*d*x/((-e^2*x^2 + d^2)^(3/2)*e^4) - 1/3*d^2/((-e^2*x^2 + d^2)^(3/2)*e^5) + 1/5*x/(sqrt(-e^2*x^2 + d^2)*d*e^4)","A",0
140,1,110,0,0.469790," ","integrate(x^3/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{d^{2}}{5 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{4}\right)}} + \frac{2 \, x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} - \frac{d}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} - \frac{x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{3}}"," ",0,"1/5*d^2/((-e^2*x^2 + d^2)^(3/2)*e^5*x + (-e^2*x^2 + d^2)^(3/2)*d*e^4) + 2/5*x/((-e^2*x^2 + d^2)^(3/2)*e^3) - 1/3*d/((-e^2*x^2 + d^2)^(3/2)*e^4) - 1/5*x/(sqrt(-e^2*x^2 + d^2)*d^2*e^3)","A",0
141,1,110,0,0.478345," ","integrate(x^2/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{d}{5 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{3}\right)}} - \frac{x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{2}} + \frac{1}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} - \frac{2 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} e^{2}}"," ",0,"-1/5*d/((-e^2*x^2 + d^2)^(3/2)*e^4*x + (-e^2*x^2 + d^2)^(3/2)*d*e^3) - 1/15*x/((-e^2*x^2 + d^2)^(3/2)*d*e^2) + 1/3/((-e^2*x^2 + d^2)^(3/2)*e^3) - 2/15*x/(sqrt(-e^2*x^2 + d^2)*d^3*e^2)","A",0
142,1,90,0,0.490455," ","integrate(x/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{5 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{2}\right)}} + \frac{x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e} + \frac{2 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e}"," ",0,"1/5/((-e^2*x^2 + d^2)^(3/2)*e^3*x + (-e^2*x^2 + d^2)^(3/2)*d*e^2) + 1/15*x/((-e^2*x^2 + d^2)^(3/2)*d^2*e) + 2/15*x/(sqrt(-e^2*x^2 + d^2)*d^4*e)","A",0
143,1,85,0,0.451849," ","integrate(1/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{5 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e\right)}} + \frac{4 \, x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}} + \frac{8 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}}"," ",0,"-1/5/((-e^2*x^2 + d^2)^(3/2)*d*e^2*x + (-e^2*x^2 + d^2)^(3/2)*d^2*e) + 4/15*x/((-e^2*x^2 + d^2)^(3/2)*d^3) + 8/15*x/(sqrt(-e^2*x^2 + d^2)*d^5)","A",0
144,0,0,0,0.000000," ","integrate(1/x/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(5/2)*(e*x + d)*x), x)","F",0
145,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(5/2)*(e*x + d)*x^2), x)","F",0
146,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(5/2)*(e*x + d)*x^3), x)","F",0
147,0,0,0,0.000000," ","integrate(1/x^4/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)} x^{4}}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(5/2)*(e*x + d)*x^4), x)","F",0
148,1,133,0,0.507658," ","integrate(x^3/(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{d^{2}}{7 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{5} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{4}\right)}} + \frac{8 \, x}{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} - \frac{d}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} - \frac{x}{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{3}} - \frac{2 \, x}{35 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e^{3}}"," ",0,"1/7*d^2/((-e^2*x^2 + d^2)^(5/2)*e^5*x + (-e^2*x^2 + d^2)^(5/2)*d*e^4) + 8/35*x/((-e^2*x^2 + d^2)^(5/2)*e^3) - 1/5*d/((-e^2*x^2 + d^2)^(5/2)*e^4) - 1/35*x/((-e^2*x^2 + d^2)^(3/2)*d^2*e^3) - 2/35*x/(sqrt(-e^2*x^2 + d^2)*d^4*e^3)","A",0
149,1,133,0,0.484532," ","integrate(x^2/(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{d}{7 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{3}\right)}} - \frac{x}{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{2}} + \frac{1}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} - \frac{4 \, x}{105 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} e^{2}} - \frac{8 \, x}{105 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5} e^{2}}"," ",0,"-1/7*d/((-e^2*x^2 + d^2)^(5/2)*e^4*x + (-e^2*x^2 + d^2)^(5/2)*d*e^3) - 1/35*x/((-e^2*x^2 + d^2)^(5/2)*d*e^2) + 1/5/((-e^2*x^2 + d^2)^(5/2)*e^3) - 4/105*x/((-e^2*x^2 + d^2)^(3/2)*d^3*e^2) - 8/105*x/(sqrt(-e^2*x^2 + d^2)*d^5*e^2)","A",0
150,1,68,0,0.975329," ","integrate(x^3/(a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-a^{2} x^{2} + 1}}{a^{5} x + a^{4}} - \frac{\sqrt{-a^{2} x^{2} + 1} x}{2 \, a^{3}} + \frac{3 \, \arcsin\left(a x\right)}{2 \, a^{4}} + \frac{\sqrt{-a^{2} x^{2} + 1}}{a^{4}}"," ",0,"sqrt(-a^2*x^2 + 1)/(a^5*x + a^4) - 1/2*sqrt(-a^2*x^2 + 1)*x/a^3 + 3/2*arcsin(a*x)/a^4 + sqrt(-a^2*x^2 + 1)/a^4","A",0
151,1,52,0,0.977533," ","integrate(x^2/(a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-a^{2} x^{2} + 1}}{a^{4} x + a^{3}} - \frac{\arcsin\left(a x\right)}{a^{3}} - \frac{\sqrt{-a^{2} x^{2} + 1}}{a^{3}}"," ",0,"-sqrt(-a^2*x^2 + 1)/(a^4*x + a^3) - arcsin(a*x)/a^3 - sqrt(-a^2*x^2 + 1)/a^3","A",0
152,1,33,0,0.985651," ","integrate(x/(a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-a^{2} x^{2} + 1}}{a^{3} x + a^{2}} + \frac{\arcsin\left(a x\right)}{a^{2}}"," ",0,"sqrt(-a^2*x^2 + 1)/(a^3*x + a^2) + arcsin(a*x)/a^2","A",0
153,1,23,0,0.974511," ","integrate(1/(a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-a^{2} x^{2} + 1}}{a^{2} x + a}"," ",0,"-sqrt(-a^2*x^2 + 1)/(a^2*x + a)","A",0
154,0,0,0,0.000000," ","integrate(1/x/(-a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{-a^{2} x^{2} + 1} {\left(a x - 1\right)} x}\,{d x}"," ",0,"-integrate(1/(sqrt(-a^2*x^2 + 1)*(a*x - 1)*x), x)","F",0
155,0,0,0,0.000000," ","integrate(1/x^2/(-a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{-a^{2} x^{2} + 1} {\left(a x - 1\right)} x^{2}}\,{d x}"," ",0,"-integrate(1/(sqrt(-a^2*x^2 + 1)*(a*x - 1)*x^2), x)","F",0
156,0,0,0,0.000000," ","integrate(1/x^3/(-a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{-a^{2} x^{2} + 1} {\left(a x - 1\right)} x^{3}}\,{d x}"," ",0,"-integrate(1/(sqrt(-a^2*x^2 + 1)*(a*x - 1)*x^3), x)","F",0
157,1,299,0,1.072356," ","integrate(x^5*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5}}{4 \, {\left(e^{7} x + d e^{6}\right)}} - \frac{5 i \, d^{9} \arcsin\left(\frac{e x}{d} + 2\right)}{4 \, e^{6}} - \frac{85 \, d^{9} \arcsin\left(\frac{e x}{d}\right)}{64 \, e^{6}} + \frac{5 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{7} x}{4 \, e^{5}} - \frac{85 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7} x}{64 \, e^{5}} + \frac{5 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{8}}{2 \, e^{6}} + \frac{35 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} x}{96 \, e^{5}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{6}}{12 \, e^{6}} - \frac{17 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} x}{24 \, e^{5}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} x^{2}}{9 \, e^{4}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4}}{e^{6}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d x}{4 \, e^{5}} - \frac{29 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d^{2}}{63 \, e^{6}}"," ",0,"-1/4*(-e^2*x^2 + d^2)^(5/2)*d^5/(e^7*x + d*e^6) - 5/4*I*d^9*arcsin(e*x/d + 2)/e^6 - 85/64*d^9*arcsin(e*x/d)/e^6 + 5/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^7*x/e^5 - 85/64*sqrt(-e^2*x^2 + d^2)*d^7*x/e^5 + 5/2*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^8/e^6 + 35/96*(-e^2*x^2 + d^2)^(3/2)*d^5*x/e^5 - 5/12*(-e^2*x^2 + d^2)^(3/2)*d^6/e^6 - 17/24*(-e^2*x^2 + d^2)^(5/2)*d^3*x/e^5 - 1/9*(-e^2*x^2 + d^2)^(7/2)*x^2/e^4 + (-e^2*x^2 + d^2)^(5/2)*d^4/e^6 + 1/4*(-e^2*x^2 + d^2)^(7/2)*d*x/e^5 - 29/63*(-e^2*x^2 + d^2)^(7/2)*d^2/e^6","C",0
158,1,275,0,1.039392," ","integrate(x^4*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4}}{4 \, {\left(e^{6} x + d e^{5}\right)}} + \frac{7 i \, d^{8} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e^{5}} + \frac{125 \, d^{8} \arcsin\left(\frac{e x}{d}\right)}{128 \, e^{5}} - \frac{7 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{6} x}{8 \, e^{4}} + \frac{125 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6} x}{128 \, e^{4}} - \frac{7 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{7}}{4 \, e^{5}} - \frac{67 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4} x}{192 \, e^{4}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5}}{12 \, e^{5}} + \frac{25 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} x}{48 \, e^{4}} - \frac{4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}}{5 \, e^{5}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} x}{8 \, e^{4}} + \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} d}{7 \, e^{5}}"," ",0,"1/4*(-e^2*x^2 + d^2)^(5/2)*d^4/(e^6*x + d*e^5) + 7/8*I*d^8*arcsin(e*x/d + 2)/e^5 + 125/128*d^8*arcsin(e*x/d)/e^5 - 7/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^6*x/e^4 + 125/128*sqrt(-e^2*x^2 + d^2)*d^6*x/e^4 - 7/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^7/e^5 - 67/192*(-e^2*x^2 + d^2)^(3/2)*d^4*x/e^4 + 5/12*(-e^2*x^2 + d^2)^(3/2)*d^5/e^5 + 25/48*(-e^2*x^2 + d^2)^(5/2)*d^2*x/e^4 - 4/5*(-e^2*x^2 + d^2)^(5/2)*d^3/e^5 - 1/8*(-e^2*x^2 + d^2)^(7/2)*x/e^4 + 2/7*(-e^2*x^2 + d^2)^(7/2)*d/e^5","C",0
159,1,251,0,1.038234," ","integrate(x^3*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}}{4 \, {\left(e^{5} x + d e^{4}\right)}} - \frac{i \, d^{7} \arcsin\left(\frac{e x}{d} + 2\right)}{2 \, e^{4}} - \frac{5 \, d^{7} \arcsin\left(\frac{e x}{d}\right)}{8 \, e^{4}} + \frac{\sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{5} x}{2 \, e^{3}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5} x}{8 \, e^{3}} + \frac{\sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{6}}{e^{4}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} x}{3 \, e^{3}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}}{12 \, e^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x}{3 \, e^{3}} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}}{5 \, e^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{7 \, e^{4}}"," ",0,"-1/4*(-e^2*x^2 + d^2)^(5/2)*d^3/(e^5*x + d*e^4) - 1/2*I*d^7*arcsin(e*x/d + 2)/e^4 - 5/8*d^7*arcsin(e*x/d)/e^4 + 1/2*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^5*x/e^3 - 5/8*sqrt(-e^2*x^2 + d^2)*d^5*x/e^3 + sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^6/e^4 + 1/3*(-e^2*x^2 + d^2)^(3/2)*d^3*x/e^3 - 5/12*(-e^2*x^2 + d^2)^(3/2)*d^4/e^4 - 1/3*(-e^2*x^2 + d^2)^(5/2)*d*x/e^3 + 3/5*(-e^2*x^2 + d^2)^(5/2)*d^2/e^4 - 1/7*(-e^2*x^2 + d^2)^(7/2)/e^4","C",0
160,1,230,0,1.030394," ","integrate(x^2*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{i \, d^{6} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e^{3}} + \frac{5 \, d^{6} \arcsin\left(\frac{e x}{d}\right)}{16 \, e^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}}{4 \, {\left(e^{4} x + d e^{3}\right)}} - \frac{\sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{4} x}{8 \, e^{2}} + \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} x}{16 \, e^{2}} - \frac{\sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{5}}{4 \, e^{3}} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} x}{24 \, e^{2}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}}{12 \, e^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x}{6 \, e^{2}} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{5 \, e^{3}}"," ",0,"1/8*I*d^6*arcsin(e*x/d + 2)/e^3 + 5/16*d^6*arcsin(e*x/d)/e^3 + 1/4*(-e^2*x^2 + d^2)^(5/2)*d^2/(e^4*x + d*e^3) - 1/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^4*x/e^2 + 5/16*sqrt(-e^2*x^2 + d^2)*d^4*x/e^2 - 1/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^5/e^3 - 7/24*(-e^2*x^2 + d^2)^(3/2)*d^2*x/e^2 + 5/12*(-e^2*x^2 + d^2)^(3/2)*d^3/e^3 + 1/6*(-e^2*x^2 + d^2)^(5/2)*x/e^2 - 2/5*(-e^2*x^2 + d^2)^(5/2)*d/e^3","C",0
161,1,167,0,1.002067," ","integrate(x*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","\frac{i \, d^{5} \arcsin\left(\frac{e x}{d} + 2\right)}{4 \, e^{2}} - \frac{\sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{3} x}{4 \, e} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{4 \, {\left(e^{3} x + d e^{2}\right)}} - \frac{\sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{4}}{2 \, e^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d x}{4 \, e} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{12 \, e^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{5 \, e^{2}}"," ",0,"1/4*I*d^5*arcsin(e*x/d + 2)/e^2 - 1/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^3*x/e - 1/4*(-e^2*x^2 + d^2)^(5/2)*d/(e^3*x + d*e^2) - 1/2*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^4/e^2 + 1/4*(-e^2*x^2 + d^2)^(3/2)*d*x/e - 5/12*(-e^2*x^2 + d^2)^(3/2)*d^2/e^2 + 1/5*(-e^2*x^2 + d^2)^(5/2)/e^2","C",0
162,1,119,0,0.991299," ","integrate((-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{5 i \, d^{4} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e} + \frac{5}{8} \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{2} x + \frac{5 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{3}}{4 \, e} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{4 \, {\left(e^{2} x + d e\right)}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{12 \, e}"," ",0,"-5/8*I*d^4*arcsin(e*x/d + 2)/e + 5/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^2*x + 5/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^3/e + 1/4*(-e^2*x^2 + d^2)^(5/2)/(e^2*x + d*e) + 5/12*(-e^2*x^2 + d^2)^(3/2)*d/e","C",0
163,1,103,0,0.987223," ","integrate((-e^2*x^2+d^2)^(5/2)/x/(e*x+d)^2,x, algorithm=""maxima"")","-d^{3} \arcsin\left(\frac{e x}{d}\right) - d^{3} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \sqrt{-e^{2} x^{2} + d^{2}} d e x + \sqrt{-e^{2} x^{2} + d^{2}} d^{2} - \frac{1}{3} \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}"," ",0,"-d^3*arcsin(e*x/d) - d^3*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - sqrt(-e^2*x^2 + d^2)*d*e*x + sqrt(-e^2*x^2 + d^2)*d^2 - 1/3*(-e^2*x^2 + d^2)^(3/2)","A",0
164,1,112,0,1.117610," ","integrate((-e^2*x^2+d^2)^(5/2)/x^2/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, d^{2} e \arcsin\left(\frac{e x}{d}\right) + 2 \, d^{2} e \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{1}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{2} x - 2 \, \sqrt{-e^{2} x^{2} + d^{2}} d e - \frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{x}"," ",0,"-1/2*d^2*e*arcsin(e*x/d) + 2*d^2*e*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + 1/2*sqrt(-e^2*x^2 + d^2)*e^2*x - 2*sqrt(-e^2*x^2 + d^2)*d*e - sqrt(-e^2*x^2 + d^2)*d^2/x","A",0
165,1,111,0,0.986353," ","integrate((-e^2*x^2+d^2)^(5/2)/x^3/(e*x+d)^2,x, algorithm=""maxima"")","2 \, d e^{2} \arcsin\left(\frac{e x}{d}\right) - \frac{1}{2} \, d e^{2} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{1}{2} \, \sqrt{-e^{2} x^{2} + d^{2}} e^{2} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d e}{x} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}{2 \, x^{2}}"," ",0,"2*d*e^2*arcsin(e*x/d) - 1/2*d*e^2*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + 1/2*sqrt(-e^2*x^2 + d^2)*e^2 + 2*sqrt(-e^2*x^2 + d^2)*d*e/x - 1/2*(-e^2*x^2 + d^2)^(3/2)/x^2","A",0
166,1,134,0,0.991088," ","integrate((-e^2*x^2+d^2)^(5/2)/x^4/(e*x+d)^2,x, algorithm=""maxima"")","-e^{3} \arcsin\left(\frac{e x}{d}\right) - e^{3} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) + \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{3}}{d} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{2}}{x} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{d x^{2}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}{3 \, x^{3}}"," ",0,"-e^3*arcsin(e*x/d) - e^3*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) + sqrt(-e^2*x^2 + d^2)*e^3/d - sqrt(-e^2*x^2 + d^2)*e^2/x + (-e^2*x^2 + d^2)^(3/2)*e/(d*x^2) - 1/3*(-e^2*x^2 + d^2)^(3/2)/x^3","A",0
167,1,130,0,1.007904," ","integrate((-e^2*x^2+d^2)^(5/2)/x^5/(e*x+d)^2,x, algorithm=""maxima"")","\frac{5 \, e^{4} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{8 \, d} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{4}}{8 \, d^{2}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{8 \, d^{2} x^{2}} + \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{3 \, d x^{3}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}{4 \, x^{4}}"," ",0,"5/8*e^4*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d - 5/8*sqrt(-e^2*x^2 + d^2)*e^4/d^2 - 5/8*(-e^2*x^2 + d^2)^(3/2)*e^2/(d^2*x^2) + 2/3*(-e^2*x^2 + d^2)^(3/2)*e/(d*x^3) - 1/4*(-e^2*x^2 + d^2)^(3/2)/x^4","A",0
168,1,155,0,0.991466," ","integrate((-e^2*x^2+d^2)^(5/2)/x^6/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{e^{5} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{4 \, d^{2}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{5}}{4 \, d^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}}{4 \, d^{3} x^{2}} - \frac{7 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{15 \, d^{2} x^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{2 \, d x^{4}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}{5 \, x^{5}}"," ",0,"-1/4*e^5*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^2 + 1/4*sqrt(-e^2*x^2 + d^2)*e^5/d^3 + 1/4*(-e^2*x^2 + d^2)^(3/2)*e^3/(d^3*x^2) - 7/15*(-e^2*x^2 + d^2)^(3/2)*e^2/(d^2*x^3) + 1/2*(-e^2*x^2 + d^2)^(3/2)*e/(d*x^4) - 1/5*(-e^2*x^2 + d^2)^(3/2)/x^5","A",0
169,1,180,0,1.010449," ","integrate((-e^2*x^2+d^2)^(5/2)/x^7/(e*x+d)^2,x, algorithm=""maxima"")","\frac{3 \, e^{6} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{16 \, d^{3}} - \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{6}}{16 \, d^{4}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}{16 \, d^{4} x^{2}} + \frac{4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}}{15 \, d^{3} x^{3}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{8 \, d^{2} x^{4}} + \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{5 \, d x^{5}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}{6 \, x^{6}}"," ",0,"3/16*e^6*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^3 - 3/16*sqrt(-e^2*x^2 + d^2)*e^6/d^4 - 3/16*(-e^2*x^2 + d^2)^(3/2)*e^4/(d^4*x^2) + 4/15*(-e^2*x^2 + d^2)^(3/2)*e^3/(d^3*x^3) - 3/8*(-e^2*x^2 + d^2)^(3/2)*e^2/(d^2*x^4) + 2/5*(-e^2*x^2 + d^2)^(3/2)*e/(d*x^5) - 1/6*(-e^2*x^2 + d^2)^(3/2)/x^6","A",0
170,1,205,0,0.987551," ","integrate((-e^2*x^2+d^2)^(5/2)/x^8/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{e^{7} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{8 \, d^{4}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}} e^{7}}{8 \, d^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}}{8 \, d^{5} x^{2}} - \frac{22 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}{105 \, d^{4} x^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}}{4 \, d^{3} x^{4}} - \frac{11 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}}{35 \, d^{2} x^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e}{3 \, d x^{6}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}{7 \, x^{7}}"," ",0,"-1/8*e^7*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^4 + 1/8*sqrt(-e^2*x^2 + d^2)*e^7/d^5 + 1/8*(-e^2*x^2 + d^2)^(3/2)*e^5/(d^5*x^2) - 22/105*(-e^2*x^2 + d^2)^(3/2)*e^4/(d^4*x^3) + 1/4*(-e^2*x^2 + d^2)^(3/2)*e^3/(d^3*x^4) - 11/35*(-e^2*x^2 + d^2)^(3/2)*e^2/(d^2*x^5) + 1/3*(-e^2*x^2 + d^2)^(3/2)*e/(d*x^6) - 1/7*(-e^2*x^2 + d^2)^(3/2)/x^7","A",0
171,1,170,0,1.015118," ","integrate(x^4/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","-\frac{d^{3}}{5 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{7} x^{2} + 2 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{6} x + \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{5}\right)}} + \frac{17 \, d^{2}}{15 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{6} x + \sqrt{-e^{2} x^{2} + d^{2}} d e^{5}\right)}} + \frac{26 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{4}} - \frac{\arcsin\left(\frac{e x}{d}\right)}{e^{5}} - \frac{2 \, d}{\sqrt{-e^{2} x^{2} + d^{2}} e^{5}}"," ",0,"-1/5*d^3/(sqrt(-e^2*x^2 + d^2)*e^7*x^2 + 2*sqrt(-e^2*x^2 + d^2)*d*e^6*x + sqrt(-e^2*x^2 + d^2)*d^2*e^5) + 17/15*d^2/(sqrt(-e^2*x^2 + d^2)*e^6*x + sqrt(-e^2*x^2 + d^2)*d*e^5) + 26/15*x/(sqrt(-e^2*x^2 + d^2)*e^4) - arcsin(e*x/d)/e^5 - 2*d/(sqrt(-e^2*x^2 + d^2)*e^5)","A",0
172,1,157,0,0.468279," ","integrate(x^3/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\frac{d^{2}}{5 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{6} x^{2} + 2 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{5} x + \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{4}\right)}} - \frac{4 \, d}{5 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{5} x + \sqrt{-e^{2} x^{2} + d^{2}} d e^{4}\right)}} - \frac{2 \, x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{3}} + \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} e^{4}}"," ",0,"1/5*d^2/(sqrt(-e^2*x^2 + d^2)*e^6*x^2 + 2*sqrt(-e^2*x^2 + d^2)*d*e^5*x + sqrt(-e^2*x^2 + d^2)*d^2*e^4) - 4/5*d/(sqrt(-e^2*x^2 + d^2)*e^5*x + sqrt(-e^2*x^2 + d^2)*d*e^4) - 2/5*x/(sqrt(-e^2*x^2 + d^2)*d*e^3) + 1/(sqrt(-e^2*x^2 + d^2)*e^4)","A",0
173,1,136,0,0.468169," ","integrate(x^2/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","-\frac{d}{5 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{5} x^{2} + 2 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{4} x + \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{3}\right)}} + \frac{7}{15 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{4} x + \sqrt{-e^{2} x^{2} + d^{2}} d e^{3}\right)}} + \frac{x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{2}}"," ",0,"-1/5*d/(sqrt(-e^2*x^2 + d^2)*e^5*x^2 + 2*sqrt(-e^2*x^2 + d^2)*d*e^4*x + sqrt(-e^2*x^2 + d^2)*d^2*e^3) + 7/15/(sqrt(-e^2*x^2 + d^2)*e^4*x + sqrt(-e^2*x^2 + d^2)*d*e^3) + 1/15*x/(sqrt(-e^2*x^2 + d^2)*d^2*e^2)","A",0
174,1,138,0,0.464016," ","integrate(x/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{5 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} e^{4} x^{2} + 2 \, \sqrt{-e^{2} x^{2} + d^{2}} d e^{3} x + \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{2}\right)}} - \frac{2}{15 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} d e^{3} x + \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{2}\right)}} + \frac{4 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3} e}"," ",0,"1/5/(sqrt(-e^2*x^2 + d^2)*e^4*x^2 + 2*sqrt(-e^2*x^2 + d^2)*d*e^3*x + sqrt(-e^2*x^2 + d^2)*d^2*e^2) - 2/15/(sqrt(-e^2*x^2 + d^2)*d*e^3*x + sqrt(-e^2*x^2 + d^2)*d^2*e^2) + 4/15*x/(sqrt(-e^2*x^2 + d^2)*d^3*e)","A",0
175,1,136,0,0.444545," ","integrate(1/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{5 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} d e^{3} x^{2} + 2 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{2} x + \sqrt{-e^{2} x^{2} + d^{2}} d^{3} e\right)}} - \frac{1}{5 \, {\left(\sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{2} x + \sqrt{-e^{2} x^{2} + d^{2}} d^{3} e\right)}} + \frac{2 \, x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4}}"," ",0,"-1/5/(sqrt(-e^2*x^2 + d^2)*d*e^3*x^2 + 2*sqrt(-e^2*x^2 + d^2)*d^2*e^2*x + sqrt(-e^2*x^2 + d^2)*d^3*e) - 1/5/(sqrt(-e^2*x^2 + d^2)*d^2*e^2*x + sqrt(-e^2*x^2 + d^2)*d^3*e) + 2/5*x/(sqrt(-e^2*x^2 + d^2)*d^4)","A",0
176,0,0,0,0.000000," ","integrate(1/x/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(3/2)*(e*x + d)^2*x), x)","F",0
177,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(3/2)*(e*x + d)^2*x^2), x)","F",0
178,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(3/2)*(e*x + d)^2*x^3), x)","F",0
179,1,185,0,0.999917," ","integrate(x^5/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{4}}{5 \, {\left(e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}\right)}} - \frac{23 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{15 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)}} + \frac{127 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{15 \, {\left(e^{7} x + d e^{6}\right)}} + \frac{13 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{6}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} x}{2 \, e^{5}} + \frac{3 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{e^{6}}"," ",0,"1/5*sqrt(-e^2*x^2 + d^2)*d^4/(e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6) - 23/15*sqrt(-e^2*x^2 + d^2)*d^3/(e^8*x^2 + 2*d*e^7*x + d^2*e^6) + 127/15*sqrt(-e^2*x^2 + d^2)*d^2/(e^7*x + d*e^6) + 13/2*d^2*arcsin(e*x/d)/e^6 - 1/2*sqrt(-e^2*x^2 + d^2)*x/e^5 + 3*sqrt(-e^2*x^2 + d^2)*d/e^6","A",0
180,1,160,0,0.983805," ","integrate(x^4/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{5 \, {\left(e^{8} x^{3} + 3 \, d e^{7} x^{2} + 3 \, d^{2} e^{6} x + d^{3} e^{5}\right)}} + \frac{6 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{5 \, {\left(e^{7} x^{2} + 2 \, d e^{6} x + d^{2} e^{5}\right)}} - \frac{24 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{5 \, {\left(e^{6} x + d e^{5}\right)}} - \frac{3 \, d \arcsin\left(\frac{e x}{d}\right)}{e^{5}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{e^{5}}"," ",0,"-1/5*sqrt(-e^2*x^2 + d^2)*d^3/(e^8*x^3 + 3*d*e^7*x^2 + 3*d^2*e^6*x + d^3*e^5) + 6/5*sqrt(-e^2*x^2 + d^2)*d^2/(e^7*x^2 + 2*d*e^6*x + d^2*e^5) - 24/5*sqrt(-e^2*x^2 + d^2)*d/(e^6*x + d*e^5) - 3*d*arcsin(e*x/d)/e^5 - sqrt(-e^2*x^2 + d^2)/e^5","A",0
181,1,136,0,0.985134," ","integrate(x^3/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{5 \, {\left(e^{7} x^{3} + 3 \, d e^{6} x^{2} + 3 \, d^{2} e^{5} x + d^{3} e^{4}\right)}} - \frac{13 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{15 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} + \frac{32 \, \sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(e^{5} x + d e^{4}\right)}} + \frac{\arcsin\left(\frac{e x}{d}\right)}{e^{4}}"," ",0,"1/5*sqrt(-e^2*x^2 + d^2)*d^2/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) - 13/15*sqrt(-e^2*x^2 + d^2)*d/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) + 32/15*sqrt(-e^2*x^2 + d^2)/(e^5*x + d*e^4) + arcsin(e*x/d)/e^4","A",0
182,1,125,0,0.982769," ","integrate(x^2/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}} d}{5 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}} + \frac{8 \, \sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)}} - \frac{7 \, \sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(d e^{4} x + d^{2} e^{3}\right)}}"," ",0,"-1/5*sqrt(-e^2*x^2 + d^2)*d/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3) + 8/15*sqrt(-e^2*x^2 + d^2)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) - 7/15*sqrt(-e^2*x^2 + d^2)/(d*e^4*x + d^2*e^3)","A",0
183,1,129,0,0.984388," ","integrate(x/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-e^{2} x^{2} + d^{2}}}{5 \, {\left(e^{5} x^{3} + 3 \, d e^{4} x^{2} + 3 \, d^{2} e^{3} x + d^{3} e^{2}\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{5 \, {\left(d e^{4} x^{2} + 2 \, d^{2} e^{3} x + d^{3} e^{2}\right)}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{5 \, {\left(d^{2} e^{3} x + d^{3} e^{2}\right)}}"," ",0,"1/5*sqrt(-e^2*x^2 + d^2)/(e^5*x^3 + 3*d*e^4*x^2 + 3*d^2*e^3*x + d^3*e^2) - 1/5*sqrt(-e^2*x^2 + d^2)/(d*e^4*x^2 + 2*d^2*e^3*x + d^3*e^2) - 1/5*sqrt(-e^2*x^2 + d^2)/(d^2*e^3*x + d^3*e^2)","A",0
184,1,128,0,0.984200," ","integrate(1/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-e^{2} x^{2} + d^{2}}}{5 \, {\left(d e^{4} x^{3} + 3 \, d^{2} e^{3} x^{2} + 3 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(d^{2} e^{3} x^{2} + 2 \, d^{3} e^{2} x + d^{4} e\right)}} - \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(d^{3} e^{2} x + d^{4} e\right)}}"," ",0,"-1/5*sqrt(-e^2*x^2 + d^2)/(d*e^4*x^3 + 3*d^2*e^3*x^2 + 3*d^3*e^2*x + d^4*e) - 2/15*sqrt(-e^2*x^2 + d^2)/(d^2*e^3*x^2 + 2*d^3*e^2*x + d^4*e) - 2/15*sqrt(-e^2*x^2 + d^2)/(d^3*e^2*x + d^4*e)","A",0
185,0,0,0,0.000000," ","integrate(1/x/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} {\left(e x + d\right)}^{3} x}\,{d x}"," ",0,"integrate(1/(sqrt(-e^2*x^2 + d^2)*(e*x + d)^3*x), x)","F",0
186,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} {\left(e x + d\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-e^2*x^2 + d^2)*(e*x + d)^3*x^2), x)","F",0
187,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-e^{2} x^{2} + d^{2}} {\left(e x + d\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(-e^2*x^2 + d^2)*(e*x + d)^3*x^3), x)","F",0
188,-1,0,0,0.000000," ","integrate(x^5*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
189,-1,0,0,0.000000," ","integrate(x^4*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
190,-1,0,0,0.000000," ","integrate(x^3*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
191,0,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{-e^{2} x^{2} + d^{2}} x^{2}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)*x^2/(e*x + d)^4, x)","F",0
192,1,125,0,0.447458," ","integrate(x*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{5 \, {\left(e^{5} x^{3} + 3 \, d e^{4} x^{2} + 3 \, d^{2} e^{3} x + d^{3} e^{2}\right)}} - \frac{11 \, \sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} + \frac{4 \, \sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(d e^{3} x + d^{2} e^{2}\right)}}"," ",0,"2/5*sqrt(-e^2*x^2 + d^2)*d/(e^5*x^3 + 3*d*e^4*x^2 + 3*d^2*e^3*x + d^3*e^2) - 11/15*sqrt(-e^2*x^2 + d^2)/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) + 4/15*sqrt(-e^2*x^2 + d^2)/(d*e^3*x + d^2*e^2)","B",0
193,1,123,0,0.444631," ","integrate((-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}}}{5 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(d e^{3} x^{2} + 2 \, d^{2} e^{2} x + d^{3} e\right)}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{15 \, {\left(d^{2} e^{2} x + d^{3} e\right)}}"," ",0,"-2/5*sqrt(-e^2*x^2 + d^2)/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) + 1/15*sqrt(-e^2*x^2 + d^2)/(d*e^3*x^2 + 2*d^2*e^2*x + d^3*e) + 1/15*sqrt(-e^2*x^2 + d^2)/(d^2*e^2*x + d^3*e)","B",0
194,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{{\left(e x + d\right)}^{4} x}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)/((e*x + d)^4*x), x)","F",0
195,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^2/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{{\left(e x + d\right)}^{4} x^{2}}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)/((e*x + d)^4*x^2), x)","F",0
196,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^3/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{{\left(e x + d\right)}^{4} x^{3}}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)/((e*x + d)^4*x^3), x)","F",0
197,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^4/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{{\left(e x + d\right)}^{4} x^{4}}\,{d x}"," ",0,"integrate(sqrt(-e^2*x^2 + d^2)/((e*x + d)^4*x^4), x)","F",0
198,1,478,0,1.059279," ","integrate(x^5*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5}}{2 \, {\left(e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}\right)}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{6}}{2 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)}} + \frac{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7}}{e^{7} x + d e^{6}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4}}{3 \, {\left(e^{8} x^{2} + 2 \, d e^{7} x + d^{2} e^{6}\right)}} + \frac{25 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5}}{6 \, {\left(e^{7} x + d e^{6}\right)}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}}{2 \, {\left(e^{7} x + d e^{6}\right)}} + \frac{5 i \, d^{7} \arcsin\left(\frac{e x}{d} + 2\right)}{2 \, e^{6}} + \frac{75 \, d^{7} \arcsin\left(\frac{e x}{d}\right)}{4 \, e^{6}} - \frac{5 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{5} x}{2 \, e^{5}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5} x}{4 \, e^{5}} - \frac{5 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{6}}{e^{6}} + \frac{25 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6}}{2 \, e^{6}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3} x}{3 \, e^{5}} - \frac{25 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}}{6 \, e^{6}} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d x}{3 \, e^{5}} + \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}}{e^{6}} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}{7 \, e^{6}}"," ",0,"-1/2*(-e^2*x^2 + d^2)^(5/2)*d^5/(e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6) - 5/2*(-e^2*x^2 + d^2)^(3/2)*d^6/(e^8*x^2 + 2*d*e^7*x + d^2*e^6) + 15*sqrt(-e^2*x^2 + d^2)*d^7/(e^7*x + d*e^6) + 5/3*(-e^2*x^2 + d^2)^(5/2)*d^4/(e^8*x^2 + 2*d*e^7*x + d^2*e^6) + 25/6*(-e^2*x^2 + d^2)^(3/2)*d^5/(e^7*x + d*e^6) - 5/2*(-e^2*x^2 + d^2)^(5/2)*d^3/(e^7*x + d*e^6) + 5/2*I*d^7*arcsin(e*x/d + 2)/e^6 + 75/4*d^7*arcsin(e*x/d)/e^6 - 5/2*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^5*x/e^5 - 5/4*sqrt(-e^2*x^2 + d^2)*d^5*x/e^5 - 5*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^6/e^6 + 25/2*sqrt(-e^2*x^2 + d^2)*d^6/e^6 + 5/3*(-e^2*x^2 + d^2)^(3/2)*d^3*x/e^5 - 25/6*(-e^2*x^2 + d^2)^(3/2)*d^4/e^6 - 2/3*(-e^2*x^2 + d^2)^(5/2)*d*x/e^5 + 2*(-e^2*x^2 + d^2)^(5/2)*d^2/e^6 - 1/7*(-e^2*x^2 + d^2)^(7/2)/e^6","C",0
199,1,456,0,1.039866," ","integrate(x^4*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4}}{2 \, {\left(e^{8} x^{3} + 3 \, d e^{7} x^{2} + 3 \, d^{2} e^{6} x + d^{3} e^{5}\right)}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5}}{2 \, {\left(e^{7} x^{2} + 2 \, d e^{6} x + d^{2} e^{5}\right)}} - \frac{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{6}}{e^{6} x + d e^{5}} - \frac{4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}}{3 \, {\left(e^{7} x^{2} + 2 \, d e^{6} x + d^{2} e^{5}\right)}} - \frac{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}}{3 \, {\left(e^{6} x + d e^{5}\right)}} + \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}}{2 \, {\left(e^{6} x + d e^{5}\right)}} - \frac{9 i \, d^{6} \arcsin\left(\frac{e x}{d} + 2\right)}{4 \, e^{5}} - \frac{275 \, d^{6} \arcsin\left(\frac{e x}{d}\right)}{16 \, e^{5}} + \frac{9 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{4} x}{4 \, e^{4}} + \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} x}{16 \, e^{4}} + \frac{9 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{5}}{2 \, e^{5}} - \frac{10 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}}{e^{5}} - \frac{19 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} x}{24 \, e^{4}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}}{2 \, e^{5}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} x}{6 \, e^{4}} - \frac{4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{5 \, e^{5}}"," ",0,"1/2*(-e^2*x^2 + d^2)^(5/2)*d^4/(e^8*x^3 + 3*d*e^7*x^2 + 3*d^2*e^6*x + d^3*e^5) + 5/2*(-e^2*x^2 + d^2)^(3/2)*d^5/(e^7*x^2 + 2*d*e^6*x + d^2*e^5) - 15*sqrt(-e^2*x^2 + d^2)*d^6/(e^6*x + d*e^5) - 4/3*(-e^2*x^2 + d^2)^(5/2)*d^3/(e^7*x^2 + 2*d*e^6*x + d^2*e^5) - 10/3*(-e^2*x^2 + d^2)^(3/2)*d^4/(e^6*x + d*e^5) + 3/2*(-e^2*x^2 + d^2)^(5/2)*d^2/(e^6*x + d*e^5) - 9/4*I*d^6*arcsin(e*x/d + 2)/e^5 - 275/16*d^6*arcsin(e*x/d)/e^5 + 9/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^4*x/e^4 + 5/16*sqrt(-e^2*x^2 + d^2)*d^4*x/e^4 + 9/2*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^5/e^5 - 10*sqrt(-e^2*x^2 + d^2)*d^5/e^5 - 19/24*(-e^2*x^2 + d^2)^(3/2)*d^2*x/e^4 + 5/2*(-e^2*x^2 + d^2)^(3/2)*d^3/e^5 + 1/6*(-e^2*x^2 + d^2)^(5/2)*x/e^4 - 4/5*(-e^2*x^2 + d^2)^(5/2)*d/e^5","C",0
200,1,407,0,1.029099," ","integrate(x^3*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3}}{2 \, {\left(e^{7} x^{3} + 3 \, d e^{6} x^{2} + 3 \, d^{2} e^{5} x + d^{3} e^{4}\right)}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{4}}{2 \, {\left(e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}\right)}} + \frac{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{5}}{e^{5} x + d e^{4}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}}{e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}}{2 \, {\left(e^{5} x + d e^{4}\right)}} - \frac{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{4 \, {\left(e^{5} x + d e^{4}\right)}} + \frac{3 i \, d^{5} \arcsin\left(\frac{e x}{d} + 2\right)}{2 \, e^{4}} + \frac{15 \, d^{5} \arcsin\left(\frac{e x}{d}\right)}{e^{4}} - \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{3} x}{2 \, e^{3}} - \frac{3 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{4}}{e^{4}} + \frac{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4}}{2 \, e^{4}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d x}{4 \, e^{3}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{4 \, e^{4}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{5 \, e^{4}}"," ",0,"-1/2*(-e^2*x^2 + d^2)^(5/2)*d^3/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) - 5/2*(-e^2*x^2 + d^2)^(3/2)*d^4/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) + 15*sqrt(-e^2*x^2 + d^2)*d^5/(e^5*x + d*e^4) + (-e^2*x^2 + d^2)^(5/2)*d^2/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) + 5/2*(-e^2*x^2 + d^2)^(3/2)*d^3/(e^5*x + d*e^4) - 3/4*(-e^2*x^2 + d^2)^(5/2)*d/(e^5*x + d*e^4) + 3/2*I*d^5*arcsin(e*x/d + 2)/e^4 + 15*d^5*arcsin(e*x/d)/e^4 - 3/2*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^3*x/e^3 - 3*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^4/e^4 + 15/2*sqrt(-e^2*x^2 + d^2)*d^4/e^4 + 1/4*(-e^2*x^2 + d^2)^(3/2)*d*x/e^3 - 5/4*(-e^2*x^2 + d^2)^(3/2)*d^2/e^4 + 1/5*(-e^2*x^2 + d^2)^(5/2)/e^4","C",0
201,1,363,0,1.022727," ","integrate(x^2*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2}}{2 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{3}}{2 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)}} - \frac{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4}}{e^{4} x + d e^{3}} - \frac{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{3 \, {\left(e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}\right)}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{3 \, {\left(e^{4} x + d e^{3}\right)}} - \frac{5 i \, d^{4} \arcsin\left(\frac{e x}{d} + 2\right)}{8 \, e^{3}} - \frac{25 \, d^{4} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{3}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{4 \, {\left(e^{4} x + d e^{3}\right)}} + \frac{5 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{2} x}{8 \, e^{2}} + \frac{5 \, \sqrt{e^{2} x^{2} + 4 \, d e x + 3 \, d^{2}} d^{3}}{4 \, e^{3}} - \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{e^{3}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{12 \, e^{3}}"," ",0,"1/2*(-e^2*x^2 + d^2)^(5/2)*d^2/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3) + 5/2*(-e^2*x^2 + d^2)^(3/2)*d^3/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) - 15*sqrt(-e^2*x^2 + d^2)*d^4/(e^4*x + d*e^3) - 2/3*(-e^2*x^2 + d^2)^(5/2)*d/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) - 5/3*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^4*x + d*e^3) - 5/8*I*d^4*arcsin(e*x/d + 2)/e^3 - 25/2*d^4*arcsin(e*x/d)/e^3 + 1/4*(-e^2*x^2 + d^2)^(5/2)/(e^4*x + d*e^3) + 5/8*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^2*x/e^2 + 5/4*sqrt(e^2*x^2 + 4*d*e*x + 3*d^2)*d^3/e^3 - 5*sqrt(-e^2*x^2 + d^2)*d^3/e^3 + 5/12*(-e^2*x^2 + d^2)^(3/2)*d/e^3","C",0
202,1,235,0,0.985013," ","integrate(x*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d}{2 \, {\left(e^{5} x^{3} + 3 \, d e^{4} x^{2} + 3 \, d^{2} e^{3} x + d^{3} e^{2}\right)}} - \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2}}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} + \frac{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}{e^{3} x + d e^{2}} + \frac{10 \, d^{3} \arcsin\left(\frac{e x}{d}\right)}{e^{2}} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{3 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{6 \, {\left(e^{3} x + d e^{2}\right)}} + \frac{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{2 \, e^{2}}"," ",0,"-1/2*(-e^2*x^2 + d^2)^(5/2)*d/(e^5*x^3 + 3*d*e^4*x^2 + 3*d^2*e^3*x + d^3*e^2) - 5/2*(-e^2*x^2 + d^2)^(3/2)*d^2/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) + 15*sqrt(-e^2*x^2 + d^2)*d^3/(e^3*x + d*e^2) + 10*d^3*arcsin(e*x/d)/e^2 + 1/3*(-e^2*x^2 + d^2)^(5/2)/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) + 5/6*(-e^2*x^2 + d^2)^(3/2)*d/(e^3*x + d*e^2) + 5/2*sqrt(-e^2*x^2 + d^2)*d^2/e^2","A",0
203,1,134,0,0.977660," ","integrate((-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{15 \, d^{2} \arcsin\left(\frac{e x}{d}\right)}{2 \, e} + \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{2 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} + \frac{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} - \frac{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{e^{2} x + d e}"," ",0,"-15/2*d^2*arcsin(e*x/d)/e + 1/2*(-e^2*x^2 + d^2)^(5/2)/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) + 5/2*(-e^2*x^2 + d^2)^(3/2)*d/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 15*sqrt(-e^2*x^2 + d^2)*d^2/(e^2*x + d*e)","A",0
204,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{4} x}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)/((e*x + d)^4*x), x)","F",0
205,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^2/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{4} x^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)/((e*x + d)^4*x^2), x)","F",0
206,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^3/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{4} x^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)/((e*x + d)^4*x^3), x)","F",0
207,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^4/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{4} x^{4}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)/((e*x + d)^4*x^4), x)","F",0
208,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^5/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{4} x^{5}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)/((e*x + d)^4*x^5), x)","F",0
209,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^6/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{4} x^{6}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)/((e*x + d)^4*x^6), x)","F",0
210,0,0,0,0.000000," ","integrate(x^2*(-a^2*x^2+1)^(1/2)/(-a*x+1)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{{\left(a x - 1\right)}^{4}}\,{d x}"," ",0,"integrate(sqrt(-a^2*x^2 + 1)*x^2/(a*x - 1)^4, x)","F",0
211,1,153,0,0.444159," ","integrate(x^2*(-a^2*x^2+1)^(1/2)/(-a*x+1)^5,x, algorithm=""maxima"")","\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{7 \, {\left(a^{7} x^{4} - 4 \, a^{6} x^{3} + 6 \, a^{5} x^{2} - 4 \, a^{4} x + a^{3}\right)}} + \frac{29 \, \sqrt{-a^{2} x^{2} + 1}}{35 \, {\left(a^{6} x^{3} - 3 \, a^{5} x^{2} + 3 \, a^{4} x - a^{3}\right)}} + \frac{82 \, \sqrt{-a^{2} x^{2} + 1}}{105 \, {\left(a^{5} x^{2} - 2 \, a^{4} x + a^{3}\right)}} + \frac{23 \, \sqrt{-a^{2} x^{2} + 1}}{105 \, {\left(a^{4} x - a^{3}\right)}}"," ",0,"2/7*sqrt(-a^2*x^2 + 1)/(a^7*x^4 - 4*a^6*x^3 + 6*a^5*x^2 - 4*a^4*x + a^3) + 29/35*sqrt(-a^2*x^2 + 1)/(a^6*x^3 - 3*a^5*x^2 + 3*a^4*x - a^3) + 82/105*sqrt(-a^2*x^2 + 1)/(a^5*x^2 - 2*a^4*x + a^3) + 23/105*sqrt(-a^2*x^2 + 1)/(a^4*x - a^3)","B",0
212,1,399,0,0.496370," ","integrate(x^3/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{d^{2}}{13 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{8} x^{4} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{7} x^{3} + 6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{6} x^{2} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{5} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{4}\right)}} - \frac{30 \, d}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{7} x^{3} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{6} x^{2} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{5} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{4}\right)}} + \frac{21}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{5} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4}\right)}} + \frac{4}{1001 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{5} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4}\right)}} - \frac{24 \, x}{5005 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3}} - \frac{32 \, x}{5005 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{5} e^{3}} - \frac{64 \, x}{5005 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{7} e^{3}}"," ",0,"1/13*d^2/((-e^2*x^2 + d^2)^(5/2)*e^8*x^4 + 4*(-e^2*x^2 + d^2)^(5/2)*d*e^7*x^3 + 6*(-e^2*x^2 + d^2)^(5/2)*d^2*e^6*x^2 + 4*(-e^2*x^2 + d^2)^(5/2)*d^3*e^5*x + (-e^2*x^2 + d^2)^(5/2)*d^4*e^4) - 30/143*d/((-e^2*x^2 + d^2)^(5/2)*e^7*x^3 + 3*(-e^2*x^2 + d^2)^(5/2)*d*e^6*x^2 + 3*(-e^2*x^2 + d^2)^(5/2)*d^2*e^5*x + (-e^2*x^2 + d^2)^(5/2)*d^3*e^4) + 21/143/((-e^2*x^2 + d^2)^(5/2)*e^6*x^2 + 2*(-e^2*x^2 + d^2)^(5/2)*d*e^5*x + (-e^2*x^2 + d^2)^(5/2)*d^2*e^4) + 4/1001/((-e^2*x^2 + d^2)^(5/2)*d*e^5*x + (-e^2*x^2 + d^2)^(5/2)*d^2*e^4) - 24/5005*x/((-e^2*x^2 + d^2)^(5/2)*d^3*e^3) - 32/5005*x/((-e^2*x^2 + d^2)^(3/2)*d^5*e^3) - 64/5005*x/(sqrt(-e^2*x^2 + d^2)*d^7*e^3)","B",0
213,1,401,0,0.493145," ","integrate(x^2/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{d}{13 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{7} x^{4} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{6} x^{3} + 6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{5} x^{2} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{4} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{3}\right)}} + \frac{17}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6} x^{3} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{5} x^{2} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3}\right)}} - \frac{7}{1287 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{5} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3}\right)}} - \frac{7}{1287 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3}\right)}} + \frac{14 \, x}{2145 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2}} + \frac{56 \, x}{6435 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{6} e^{2}} + \frac{112 \, x}{6435 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{8} e^{2}}"," ",0,"-1/13*d/((-e^2*x^2 + d^2)^(5/2)*e^7*x^4 + 4*(-e^2*x^2 + d^2)^(5/2)*d*e^6*x^3 + 6*(-e^2*x^2 + d^2)^(5/2)*d^2*e^5*x^2 + 4*(-e^2*x^2 + d^2)^(5/2)*d^3*e^4*x + (-e^2*x^2 + d^2)^(5/2)*d^4*e^3) + 17/143/((-e^2*x^2 + d^2)^(5/2)*e^6*x^3 + 3*(-e^2*x^2 + d^2)^(5/2)*d*e^5*x^2 + 3*(-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x + (-e^2*x^2 + d^2)^(5/2)*d^3*e^3) - 7/1287/((-e^2*x^2 + d^2)^(5/2)*d*e^5*x^2 + 2*(-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x + (-e^2*x^2 + d^2)^(5/2)*d^3*e^3) - 7/1287/((-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x + (-e^2*x^2 + d^2)^(5/2)*d^3*e^3) + 14/2145*x/((-e^2*x^2 + d^2)^(5/2)*d^4*e^2) + 56/6435*x/((-e^2*x^2 + d^2)^(3/2)*d^6*e^2) + 112/6435*x/(sqrt(-e^2*x^2 + d^2)*d^8*e^2)","B",0
214,1,405,0,0.489779," ","integrate(x/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{13 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6} x^{4} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{5} x^{3} + 6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x^{2} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2}\right)}} - \frac{4}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{5} x^{3} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x^{2} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2}\right)}} - \frac{32}{1287 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2}\right)}} - \frac{32}{1287 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2}\right)}} + \frac{64 \, x}{2145 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e} + \frac{256 \, x}{6435 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{7} e} + \frac{512 \, x}{6435 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{9} e}"," ",0,"1/13/((-e^2*x^2 + d^2)^(5/2)*e^6*x^4 + 4*(-e^2*x^2 + d^2)^(5/2)*d*e^5*x^3 + 6*(-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x^2 + 4*(-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x + (-e^2*x^2 + d^2)^(5/2)*d^4*e^2) - 4/143/((-e^2*x^2 + d^2)^(5/2)*d*e^5*x^3 + 3*(-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x^2 + 3*(-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x + (-e^2*x^2 + d^2)^(5/2)*d^4*e^2) - 32/1287/((-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x^2 + 2*(-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x + (-e^2*x^2 + d^2)^(5/2)*d^4*e^2) - 32/1287/((-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x + (-e^2*x^2 + d^2)^(5/2)*d^4*e^2) + 64/2145*x/((-e^2*x^2 + d^2)^(5/2)*d^5*e) + 256/6435*x/((-e^2*x^2 + d^2)^(3/2)*d^7*e) + 512/6435*x/(sqrt(-e^2*x^2 + d^2)*d^9*e)","B",0
215,1,393,0,0.500089," ","integrate(1/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{1}{13 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d e^{5} x^{4} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x^{3} + 6 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x^{2} + 4 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e\right)}} - \frac{9}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{2} e^{4} x^{3} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x^{2} + 3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e\right)}} - \frac{8}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{3} e^{3} x^{2} + 2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e\right)}} - \frac{8}{143 \, {\left({\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{4} e^{2} x + {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{5} e\right)}} + \frac{48 \, x}{715 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} d^{6}} + \frac{64 \, x}{715 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{8}} + \frac{128 \, x}{715 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{10}}"," ",0,"-1/13/((-e^2*x^2 + d^2)^(5/2)*d*e^5*x^4 + 4*(-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x^3 + 6*(-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x^2 + 4*(-e^2*x^2 + d^2)^(5/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^5*e) - 9/143/((-e^2*x^2 + d^2)^(5/2)*d^2*e^4*x^3 + 3*(-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x^2 + 3*(-e^2*x^2 + d^2)^(5/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^5*e) - 8/143/((-e^2*x^2 + d^2)^(5/2)*d^3*e^3*x^2 + 2*(-e^2*x^2 + d^2)^(5/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^5*e) - 8/143/((-e^2*x^2 + d^2)^(5/2)*d^4*e^2*x + (-e^2*x^2 + d^2)^(5/2)*d^5*e) + 48/715*x/((-e^2*x^2 + d^2)^(5/2)*d^6) + 64/715*x/((-e^2*x^2 + d^2)^(3/2)*d^8) + 128/715*x/(sqrt(-e^2*x^2 + d^2)*d^10)","B",0
216,0,0,0,0.000000," ","integrate(1/x/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} {\left(e x + d\right)}^{4} x}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(7/2)*(e*x + d)^4*x), x)","F",0
217,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} {\left(e x + d\right)}^{4} x^{2}}\,{d x}"," ",0,"integrate(1/((-e^2*x^2 + d^2)^(7/2)*(e*x + d)^4*x^2), x)","F",0
218,0,0,0,0.000000," ","integrate((-a*c*x+c)^(1/2)*(-a^2*x^2+1)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{-a^{2} x^{2} + 1} \sqrt{-a c x + c}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(-a^2*x^2 + 1)*sqrt(-a*c*x + c)/x^2, x)","F",0
219,0,0,0,0.000000," ","integrate((-a*c*x+c)^(1/2)/x/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-a c x + c}}{\sqrt{-a^{2} x^{2} + 1} x}\,{d x}"," ",0,"integrate(sqrt(-a*c*x + c)/(sqrt(-a^2*x^2 + 1)*x), x)","F",0
220,1,48,0,0.957272," ","integrate((-a*x+1)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{\sqrt{-a x + 1}}{\sqrt{a} \sqrt{x}}\right)}{\sqrt{a}} + \frac{\sqrt{-a x + 1}}{{\left(a - \frac{a x - 1}{x}\right)} \sqrt{x}}"," ",0,"-arctan(sqrt(-a*x + 1)/(sqrt(a)*sqrt(x)))/sqrt(a) + sqrt(-a*x + 1)/((a - (a*x - 1)/x)*sqrt(x))","A",0
221,0,0,0,0.000000," ","integrate((-a^2*x^2+1)^(1/2)/x^(1/2)/(a*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-a^{2} x^{2} + 1}}{\sqrt{a x + 1} \sqrt{x}}\,{d x}"," ",0,"integrate(sqrt(-a^2*x^2 + 1)/(sqrt(a*x + 1)*sqrt(x)), x)","F",0
222,1,68,0,0.955078," ","integrate((a*x+1)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{a} - \frac{\sqrt{a x + 1}}{\sqrt{x}}}{\sqrt{a} + \frac{\sqrt{a x + 1}}{\sqrt{x}}}\right)}{2 \, \sqrt{a}} - \frac{\sqrt{a x + 1}}{{\left(a - \frac{a x + 1}{x}\right)} \sqrt{x}}"," ",0,"-1/2*log(-(sqrt(a) - sqrt(a*x + 1)/sqrt(x))/(sqrt(a) + sqrt(a*x + 1)/sqrt(x)))/sqrt(a) - sqrt(a*x + 1)/((a - (a*x + 1)/x)*sqrt(x))","B",0
223,0,0,0,0.000000," ","integrate((-a^2*x^2+1)^(1/2)/x^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-a^{2} x^{2} + 1}}{\sqrt{-a x + 1} \sqrt{x}}\,{d x}"," ",0,"integrate(sqrt(-a^2*x^2 + 1)/(sqrt(-a*x + 1)*sqrt(x)), x)","F",0
224,1,82,0,0.958772," ","integrate(x^(1/2)*(-a*x+1)^(1/2),x, algorithm=""maxima"")","\frac{\frac{\sqrt{-a x + 1} a}{\sqrt{x}} - \frac{{\left(-a x + 1\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}}{4 \, {\left(a^{3} - \frac{2 \, {\left(a x - 1\right)} a^{2}}{x} + \frac{{\left(a x - 1\right)}^{2} a}{x^{2}}\right)}} - \frac{\arctan\left(\frac{\sqrt{-a x + 1}}{\sqrt{a} \sqrt{x}}\right)}{4 \, a^{\frac{3}{2}}}"," ",0,"1/4*(sqrt(-a*x + 1)*a/sqrt(x) - (-a*x + 1)^(3/2)/x^(3/2))/(a^3 - 2*(a*x - 1)*a^2/x + (a*x - 1)^2*a/x^2) - 1/4*arctan(sqrt(-a*x + 1)/(sqrt(a)*sqrt(x)))/a^(3/2)","A",0
225,0,0,0,0.000000," ","integrate(x^(1/2)*(-a^2*x^2+1)^(1/2)/(a*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-a^{2} x^{2} + 1} \sqrt{x}}{\sqrt{a x + 1}}\,{d x}"," ",0,"integrate(sqrt(-a^2*x^2 + 1)*sqrt(x)/sqrt(a*x + 1), x)","F",0
226,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{3} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)*(e*x + d)^3*(g*x)^m, x)","F",0
227,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^2*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)}^{2} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)*(e*x + d)^2*(g*x)^m, x)","F",0
228,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} {\left(e x + d\right)} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)*(e*x + d)*(g*x)^m, x)","F",0
229,0,0,0,0.000000," ","integrate((g*x)^m*(-e^2*x^2+d^2)^(5/2),x, algorithm=""maxima"")","\int {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)*(g*x)^m, x)","F",0
230,0,0,0,0.000000," ","integrate((g*x)^m*(-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} \left(g x\right)^{m}}{e x + d}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)*(g*x)^m/(e*x + d), x)","F",0
231,0,0,0,0.000000," ","integrate((g*x)^m*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} \left(g x\right)^{m}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)*(g*x)^m/(e*x + d)^2, x)","F",0
232,0,0,0,0.000000," ","integrate((g*x)^m*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} \left(g x\right)^{m}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^(5/2)*(g*x)^m/(e*x + d)^3, x)","F",0
233,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3} \left(g x\right)^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^3*(g*x)^m/(-e^2*x^2 + d^2)^(7/2), x)","F",0
234,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2} \left(g x\right)^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^2*(g*x)^m/(-e^2*x^2 + d^2)^(7/2), x)","F",0
235,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} \left(g x\right)^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((e*x + d)*(g*x)^m/(-e^2*x^2 + d^2)^(7/2), x)","F",0
236,0,0,0,0.000000," ","integrate((g*x)^m/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{\left(g x\right)^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((g*x)^m/(-e^2*x^2 + d^2)^(7/2), x)","F",0
237,0,0,0,0.000000," ","integrate((g*x)^m/(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{\left(g x\right)^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate((g*x)^m/((-e^2*x^2 + d^2)^(7/2)*(e*x + d)), x)","F",0
238,0,0,0,0.000000," ","integrate((g*x)^m/(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{\left(g x\right)^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} {\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((g*x)^m/((-e^2*x^2 + d^2)^(7/2)*(e*x + d)^2), x)","F",0
239,0,0,0,0.000000," ","integrate((g*x)^m/(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\int \frac{\left(g x\right)^{m}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{7}{2}} {\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((g*x)^m/((-e^2*x^2 + d^2)^(7/2)*(e*x + d)^3), x)","F",0
240,0,0,0,0.000000," ","integrate(x^5*(e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","e \int x^{6} e^{\left(p \log\left(e x + d\right) + p \log\left(-e x + d\right)\right)}\,{d x} + \frac{{\left({\left(p^{2} + 3 \, p + 2\right)} e^{6} x^{6} - {\left(p^{2} + p\right)} d^{2} e^{4} x^{4} - 2 \, d^{4} e^{2} p x^{2} - 2 \, d^{6}\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} d}{2 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} e^{6}}"," ",0,"e*integrate(x^6*e^(p*log(e*x + d) + p*log(-e*x + d)), x) + 1/2*((p^2 + 3*p + 2)*e^6*x^6 - (p^2 + p)*d^2*e^4*x^4 - 2*d^4*e^2*p*x^2 - 2*d^6)*(-e^2*x^2 + d^2)^p*d/((p^3 + 6*p^2 + 11*p + 6)*e^6)","F",0
241,0,0,0,0.000000," ","integrate(x^4*(e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{4}\,{d x}"," ",0,"integrate((e*x + d)*(-e^2*x^2 + d^2)^p*x^4, x)","F",0
242,0,0,0,0.000000," ","integrate(x^3*(e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","e \int x^{4} e^{\left(p \log\left(e x + d\right) + p \log\left(-e x + d\right)\right)}\,{d x} + \frac{{\left(e^{4} {\left(p + 1\right)} x^{4} - d^{2} e^{2} p x^{2} - d^{4}\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} d}{2 \, {\left(p^{2} + 3 \, p + 2\right)} e^{4}}"," ",0,"e*integrate(x^4*e^(p*log(e*x + d) + p*log(-e*x + d)), x) + 1/2*(e^4*(p + 1)*x^4 - d^2*e^2*p*x^2 - d^4)*(-e^2*x^2 + d^2)^p*d/((p^2 + 3*p + 2)*e^4)","F",0
243,0,0,0,0.000000," ","integrate(x^2*(e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((e*x + d)*(-e^2*x^2 + d^2)^p*x^2, x)","F",0
244,0,0,0,0.000000," ","integrate(x*(e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","e \int x^{2} e^{\left(p \log\left(e x + d\right) + p \log\left(-e x + d\right)\right)}\,{d x} - \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p + 1} d}{2 \, e^{2} {\left(p + 1\right)}}"," ",0,"e*integrate(x^2*e^(p*log(e*x + d) + p*log(-e*x + d)), x) - 1/2*(-e^2*x^2 + d^2)^(p + 1)*d/(e^2*(p + 1))","F",0
245,0,0,0,0.000000," ","integrate((e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)*(-e^2*x^2 + d^2)^p, x)","F",0
246,0,0,0,0.000000," ","integrate((e*x+d)*(-e^2*x^2+d^2)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{x}\,{d x}"," ",0,"integrate((e*x + d)*(-e^2*x^2 + d^2)^p/x, x)","F",0
247,0,0,0,0.000000," ","integrate((e*x+d)*(-e^2*x^2+d^2)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((e*x + d)*(-e^2*x^2 + d^2)^p/x^2, x)","F",0
248,0,0,0,0.000000," ","integrate((e*x+d)*(-e^2*x^2+d^2)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((e*x + d)*(-e^2*x^2 + d^2)^p/x^3, x)","F",0
249,0,0,0,0.000000," ","integrate(x^5*(e*x+d)^2*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{2} + 3 \, p + 2\right)} e^{6} x^{6} - {\left(p^{2} + p\right)} d^{2} e^{4} x^{4} - 2 \, d^{4} e^{2} p x^{2} - 2 \, d^{6}\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} d^{2}}{2 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} e^{6}} + \int {\left(e^{2} x^{7} + 2 \, d e x^{6}\right)} e^{\left(p \log\left(e x + d\right) + p \log\left(-e x + d\right)\right)}\,{d x}"," ",0,"1/2*((p^2 + 3*p + 2)*e^6*x^6 - (p^2 + p)*d^2*e^4*x^4 - 2*d^4*e^2*p*x^2 - 2*d^6)*(-e^2*x^2 + d^2)^p*d^2/((p^3 + 6*p^2 + 11*p + 6)*e^6) + integrate((e^2*x^7 + 2*d*e*x^6)*e^(p*log(e*x + d) + p*log(-e*x + d)), x)","F",0
250,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^2*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{4}\,{d x}"," ",0,"integrate((e*x + d)^2*(-e^2*x^2 + d^2)^p*x^4, x)","F",0
251,0,0,0,0.000000," ","integrate(x^3*(e*x+d)^2*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\frac{{\left(e^{4} {\left(p + 1\right)} x^{4} - d^{2} e^{2} p x^{2} - d^{4}\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} d^{2}}{2 \, {\left(p^{2} + 3 \, p + 2\right)} e^{4}} + \int {\left(e^{2} x^{5} + 2 \, d e x^{4}\right)} e^{\left(p \log\left(e x + d\right) + p \log\left(-e x + d\right)\right)}\,{d x}"," ",0,"1/2*(e^4*(p + 1)*x^4 - d^2*e^2*p*x^2 - d^4)*(-e^2*x^2 + d^2)^p*d^2/((p^2 + 3*p + 2)*e^4) + integrate((e^2*x^5 + 2*d*e*x^4)*e^(p*log(e*x + d) + p*log(-e*x + d)), x)","F",0
252,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^2*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((e*x + d)^2*(-e^2*x^2 + d^2)^p*x^2, x)","F",0
253,0,0,0,0.000000," ","integrate(x*(e*x+d)^2*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p + 1} d^{2}}{2 \, e^{2} {\left(p + 1\right)}} + \int {\left(e^{2} x^{3} + 2 \, d e x^{2}\right)} e^{\left(p \log\left(e x + d\right) + p \log\left(-e x + d\right)\right)}\,{d x}"," ",0,"-1/2*(-e^2*x^2 + d^2)^(p + 1)*d^2/(e^2*(p + 1)) + integrate((e^2*x^3 + 2*d*e*x^2)*e^(p*log(e*x + d) + p*log(-e*x + d)), x)","F",0
254,0,0,0,0.000000," ","integrate((e*x+d)^2*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^2*(-e^2*x^2 + d^2)^p, x)","F",0
255,0,0,0,0.000000," ","integrate((e*x+d)^2*(-e^2*x^2+d^2)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{x}\,{d x}"," ",0,"integrate((e*x + d)^2*(-e^2*x^2 + d^2)^p/x, x)","F",0
256,0,0,0,0.000000," ","integrate((e*x+d)^2*(-e^2*x^2+d^2)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((e*x + d)^2*(-e^2*x^2 + d^2)^p/x^2, x)","F",0
257,0,0,0,0.000000," ","integrate((e*x+d)^2*(-e^2*x^2+d^2)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((e*x + d)^2*(-e^2*x^2 + d^2)^p/x^3, x)","F",0
258,0,0,0,0.000000," ","integrate(x^5*(e*x+d)^3*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{2} + 3 \, p + 2\right)} e^{6} x^{6} - {\left(p^{2} + p\right)} d^{2} e^{4} x^{4} - 2 \, d^{4} e^{2} p x^{2} - 2 \, d^{6}\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} d^{3}}{2 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} e^{6}} + \int {\left(e^{3} x^{8} + 3 \, d e^{2} x^{7} + 3 \, d^{2} e x^{6}\right)} e^{\left(p \log\left(e x + d\right) + p \log\left(-e x + d\right)\right)}\,{d x}"," ",0,"1/2*((p^2 + 3*p + 2)*e^6*x^6 - (p^2 + p)*d^2*e^4*x^4 - 2*d^4*e^2*p*x^2 - 2*d^6)*(-e^2*x^2 + d^2)^p*d^3/((p^3 + 6*p^2 + 11*p + 6)*e^6) + integrate((e^3*x^8 + 3*d*e^2*x^7 + 3*d^2*e*x^6)*e^(p*log(e*x + d) + p*log(-e*x + d)), x)","F",0
259,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^3*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{4}\,{d x}"," ",0,"integrate((e*x + d)^3*(-e^2*x^2 + d^2)^p*x^4, x)","F",0
260,0,0,0,0.000000," ","integrate(x^3*(e*x+d)^3*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\frac{{\left(e^{4} {\left(p + 1\right)} x^{4} - d^{2} e^{2} p x^{2} - d^{4}\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} d^{3}}{2 \, {\left(p^{2} + 3 \, p + 2\right)} e^{4}} + \int {\left(e^{3} x^{6} + 3 \, d e^{2} x^{5} + 3 \, d^{2} e x^{4}\right)} e^{\left(p \log\left(e x + d\right) + p \log\left(-e x + d\right)\right)}\,{d x}"," ",0,"1/2*(e^4*(p + 1)*x^4 - d^2*e^2*p*x^2 - d^4)*(-e^2*x^2 + d^2)^p*d^3/((p^2 + 3*p + 2)*e^4) + integrate((e^3*x^6 + 3*d*e^2*x^5 + 3*d^2*e*x^4)*e^(p*log(e*x + d) + p*log(-e*x + d)), x)","F",0
261,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^3*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((e*x + d)^3*(-e^2*x^2 + d^2)^p*x^2, x)","F",0
262,0,0,0,0.000000," ","integrate(x*(e*x+d)^3*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","-\frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p + 1} d^{3}}{2 \, e^{2} {\left(p + 1\right)}} + \int {\left(e^{3} x^{4} + 3 \, d e^{2} x^{3} + 3 \, d^{2} e x^{2}\right)} e^{\left(p \log\left(e x + d\right) + p \log\left(-e x + d\right)\right)}\,{d x}"," ",0,"-1/2*(-e^2*x^2 + d^2)^(p + 1)*d^3/(e^2*(p + 1)) + integrate((e^3*x^4 + 3*d*e^2*x^3 + 3*d^2*e*x^2)*e^(p*log(e*x + d) + p*log(-e*x + d)), x)","F",0
263,0,0,0,0.000000," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^3*(-e^2*x^2 + d^2)^p, x)","F",0
264,0,0,0,0.000000," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{x}\,{d x}"," ",0,"integrate((e*x + d)^3*(-e^2*x^2 + d^2)^p/x, x)","F",0
265,0,0,0,0.000000," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((e*x + d)^3*(-e^2*x^2 + d^2)^p/x^2, x)","F",0
266,0,0,0,0.000000," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3} {\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((e*x + d)^3*(-e^2*x^2 + d^2)^p/x^3, x)","F",0
267,0,0,0,0.000000," ","integrate(x^4*(-e^2*x^2+d^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{4}}{e x + d}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^4/(e*x + d), x)","F",0
268,0,0,0,0.000000," ","integrate(x^3*(-e^2*x^2+d^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{3}}{e x + d}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^3/(e*x + d), x)","F",0
269,0,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{2}}{e x + d}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^2/(e*x + d), x)","F",0
270,0,0,0,0.000000," ","integrate(x*(-e^2*x^2+d^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x}{e x + d}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x/(e*x + d), x)","F",0
271,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{e x + d}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/(e*x + d), x)","F",0
272,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)*x), x)","F",0
273,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^2/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)*x^2), x)","F",0
274,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^3/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)*x^3), x)","F",0
275,0,0,0,0.000000," ","integrate(x^5*(-e^2*x^2+d^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{5}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^5/(e*x + d)^2, x)","F",0
276,0,0,0,0.000000," ","integrate(x^4*(-e^2*x^2+d^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{4}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^4/(e*x + d)^2, x)","F",0
277,0,0,0,0.000000," ","integrate(x^3*(-e^2*x^2+d^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{3}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^3/(e*x + d)^2, x)","F",0
278,0,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{2}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^2/(e*x + d)^2, x)","F",0
279,0,0,0,0.000000," ","integrate(x*(-e^2*x^2+d^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x/(e*x + d)^2, x)","F",0
280,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/(e*x + d)^2, x)","F",0
281,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{2} x}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^2*x), x)","F",0
282,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^2/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^2*x^2), x)","F",0
283,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^3/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^2*x^3), x)","F",0
284,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^4/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^2*x^4), x)","F",0
285,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^5/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{2} x^{5}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^2*x^5), x)","F",0
286,0,0,0,0.000000," ","integrate(x^4*(-e^2*x^2+d^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{4}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^4/(e*x + d)^3, x)","F",0
287,0,0,0,0.000000," ","integrate(x^3*(-e^2*x^2+d^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{3}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^3/(e*x + d)^3, x)","F",0
288,0,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{2}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^2/(e*x + d)^3, x)","F",0
289,0,0,0,0.000000," ","integrate(x*(-e^2*x^2+d^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x/(e*x + d)^3, x)","F",0
290,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/(e*x + d)^3, x)","F",0
291,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{3} x}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^3*x), x)","F",0
292,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^2/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^3*x^2), x)","F",0
293,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^3/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^3*x^3), x)","F",0
294,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^4/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{3} x^{4}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^3*x^4), x)","F",0
295,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^5/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{3} x^{5}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^3*x^5), x)","F",0
296,0,0,0,0.000000," ","integrate(x^4*(-e^2*x^2+d^2)^p/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{4}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^4/(e*x + d)^4, x)","F",0
297,0,0,0,0.000000," ","integrate(x^3*(-e^2*x^2+d^2)^p/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{3}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^3/(e*x + d)^4, x)","F",0
298,0,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^p/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{2}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x^2/(e*x + d)^4, x)","F",0
299,0,0,0,0.000000," ","integrate(x*(-e^2*x^2+d^2)^p/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} x}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*x/(e*x + d)^4, x)","F",0
300,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/(e*x + d)^4, x)","F",0
301,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{4} x}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^4*x), x)","F",0
302,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^2/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{4} x^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^4*x^2), x)","F",0
303,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^3/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{4} x^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^4*x^3), x)","F",0
304,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^4/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{4} x^{4}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^4*x^4), x)","F",0
305,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^p/x^5/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p}}{{\left(e x + d\right)}^{4} x^{5}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p/((e*x + d)^4*x^5), x)","F",0
306,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^3*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((e*x + d)^3*(-e^2*x^2 + d^2)^p*(g*x)^m, x)","F",0
307,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^2*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((e*x + d)^2*(-e^2*x^2 + d^2)^p*(g*x)^m, x)","F",0
308,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((e*x + d)*(-e^2*x^2 + d^2)^p*(g*x)^m, x)","F",0
309,0,0,0,0.000000," ","integrate((g*x)^m*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(-e^{2} x^{2} + d^{2}\right)}^{p} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*(g*x)^m, x)","F",0
310,0,0,0,0.000000," ","integrate((g*x)^m*(-e^2*x^2+d^2)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} \left(g x\right)^{m}}{e x + d}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*(g*x)^m/(e*x + d), x)","F",0
311,0,0,0,0.000000," ","integrate((g*x)^m*(-e^2*x^2+d^2)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} \left(g x\right)^{m}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*(g*x)^m/(e*x + d)^2, x)","F",0
312,0,0,0,0.000000," ","integrate((g*x)^m*(-e^2*x^2+d^2)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(-e^{2} x^{2} + d^{2}\right)}^{p} \left(g x\right)^{m}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*(g*x)^m/(e*x + d)^3, x)","F",0
313,0,0,0,0.000000," ","integrate((g*x)^m*(-a^2*x^2+1)^p/(a*x+1),x, algorithm=""maxima"")","\int \frac{{\left(-a^{2} x^{2} + 1\right)}^{p} \left(g x\right)^{m}}{a x + 1}\,{d x}"," ",0,"integrate((-a^2*x^2 + 1)^p*(g*x)^m/(a*x + 1), x)","F",0
314,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^n*(-e^2*x^2+d^2)^p,x, algorithm=""maxima"")","\int {\left(-e^{2} x^{2} + d^{2}\right)}^{p} {\left(e x + d\right)}^{n} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((-e^2*x^2 + d^2)^p*(e*x + d)^n*(g*x)^m, x)","F",0
315,0,0,0,0.000000," ","integrate(x*(1+x)^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1} x}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x + 1)*x/(x^2 + 1), x)","F",0
316,1,249,0,0.682024," ","integrate(x^4*(c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} x^{2}}{5 \, c e} - \frac{\sqrt{c x^{2} + a} d^{3} x}{2 \, e^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} d x}{4 \, c e^{2}} + \frac{\sqrt{c x^{2} + a} a d x}{8 \, c e^{2}} - \frac{\sqrt{c} d^{5} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{6}} - \frac{a d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c} e^{4}} + \frac{a^{2} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, c^{\frac{3}{2}} e^{2}} + \frac{\sqrt{a + \frac{c d^{2}}{e^{2}}} d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e^{5}} + \frac{\sqrt{c x^{2} + a} d^{4}}{e^{5}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} d^{2}}{3 \, c e^{3}} - \frac{2 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a}{15 \, c^{2} e}"," ",0,"1/5*(c*x^2 + a)^(3/2)*x^2/(c*e) - 1/2*sqrt(c*x^2 + a)*d^3*x/e^4 - 1/4*(c*x^2 + a)^(3/2)*d*x/(c*e^2) + 1/8*sqrt(c*x^2 + a)*a*d*x/(c*e^2) - sqrt(c)*d^5*arcsinh(c*x/sqrt(a*c))/e^6 - 1/2*a*d^3*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^4) + 1/8*a^2*d*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*e^2) + sqrt(a + c*d^2/e^2)*d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^5 + sqrt(c*x^2 + a)*d^4/e^5 + 1/3*(c*x^2 + a)^(3/2)*d^2/(c*e^3) - 2/15*(c*x^2 + a)^(3/2)*a/(c^2*e)","A",0
317,1,207,0,0.583825," ","integrate(x^3*(c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} d^{2} x}{2 \, e^{3}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} x}{4 \, c e} - \frac{\sqrt{c x^{2} + a} a x}{8 \, c e} + \frac{\sqrt{c} d^{4} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{5}} + \frac{a d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c} e^{3}} - \frac{a^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, c^{\frac{3}{2}} e} - \frac{\sqrt{a + \frac{c d^{2}}{e^{2}}} d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e^{4}} - \frac{\sqrt{c x^{2} + a} d^{3}}{e^{4}} - \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}} d}{3 \, c e^{2}}"," ",0,"1/2*sqrt(c*x^2 + a)*d^2*x/e^3 + 1/4*(c*x^2 + a)^(3/2)*x/(c*e) - 1/8*sqrt(c*x^2 + a)*a*x/(c*e) + sqrt(c)*d^4*arcsinh(c*x/sqrt(a*c))/e^5 + 1/2*a*d^2*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^3) - 1/8*a^2*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*e) - sqrt(a + c*d^2/e^2)*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^4 - sqrt(c*x^2 + a)*d^3/e^4 - 1/3*(c*x^2 + a)^(3/2)*d/(c*e^2)","A",0
318,1,144,0,0.523828," ","integrate(x^2*(c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a} d x}{2 \, e^{2}} - \frac{\sqrt{c} d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{4}} - \frac{a d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c} e^{2}} + \frac{\sqrt{a + \frac{c d^{2}}{e^{2}}} d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e^{3}} + \frac{\sqrt{c x^{2} + a} d^{2}}{e^{3}} + \frac{{\left(c x^{2} + a\right)}^{\frac{3}{2}}}{3 \, c e}"," ",0,"-1/2*sqrt(c*x^2 + a)*d*x/e^2 - sqrt(c)*d^3*arcsinh(c*x/sqrt(a*c))/e^4 - 1/2*a*d*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^2) + sqrt(a + c*d^2/e^2)*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^3 + sqrt(c*x^2 + a)*d^2/e^3 + 1/3*(c*x^2 + a)^(3/2)/(c*e)","A",0
319,1,122,0,0.505266," ","integrate(x*(c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} x}{2 \, e} + \frac{\sqrt{c} d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{3}} + \frac{a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c} e} - \frac{\sqrt{a + \frac{c d^{2}}{e^{2}}} d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e^{2}} - \frac{\sqrt{c x^{2} + a} d}{e^{2}}"," ",0,"1/2*sqrt(c*x^2 + a)*x/e + sqrt(c)*d^2*arcsinh(c*x/sqrt(a*c))/e^3 + 1/2*a*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e) - sqrt(a + c*d^2/e^2)*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e^2 - sqrt(c*x^2 + a)*d/e^2","A",0
320,1,84,0,0.483208," ","integrate((c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{c} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{2}} + \frac{\sqrt{a + \frac{c d^{2}}{e^{2}}} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{e} + \frac{\sqrt{c x^{2} + a}}{e}"," ",0,"-sqrt(c)*d*arcsinh(c*x/sqrt(a*c))/e^2 + sqrt(a + c*d^2/e^2)*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/e + sqrt(c*x^2 + a)/e","A",0
321,1,103,0,0.499157," ","integrate((c*x^2+a)^(1/2)/x/(e*x+d),x, algorithm=""maxima"")","\frac{e {\left(\frac{\sqrt{c} d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{e^{2}} - \frac{\sqrt{a + \frac{c d^{2}}{e^{2}}} \operatorname{arsinh}\left(\frac{2 \, c d x}{\sqrt{a c} {\left| 2 \, e x + 2 \, d \right|}} - \frac{2 \, a e}{\sqrt{a c} {\left| 2 \, e x + 2 \, d \right|}}\right)}{e} - \frac{\sqrt{a} \operatorname{arsinh}\left(\frac{a}{\sqrt{a c} {\left| x \right|}}\right)}{e}\right)}}{d}"," ",0,"e*(sqrt(c)*d*arcsinh(c*x/sqrt(a*c))/e^2 - sqrt(a + c*d^2/e^2)*arcsinh(2*c*d*x/(sqrt(a*c)*abs(2*e*x + 2*d)) - 2*a*e/(sqrt(a*c)*abs(2*e*x + 2*d)))/e - sqrt(a)*arcsinh(a/(sqrt(a*c)*abs(x)))/e)/d","A",0
322,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/x^2/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/((e*x + d)*x^2), x)","F",0
323,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/x^3/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/((e*x + d)*x^3), x)","F",0
324,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/x^4/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/((e*x + d)*x^4), x)","F",0
325,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/x^5/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)} x^{5}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/((e*x + d)*x^5), x)","F",0
326,1,171,0,0.546829," ","integrate(x^4/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} x^{2}}{3 \, c e} - \frac{\sqrt{c x^{2} + a} d x}{2 \, c e^{2}} - \frac{d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c} e^{4}} + \frac{a d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{3}{2}} e^{2}} + \frac{d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{5}} + \frac{\sqrt{c x^{2} + a} d^{2}}{c e^{3}} - \frac{2 \, \sqrt{c x^{2} + a} a}{3 \, c^{2} e}"," ",0,"1/3*sqrt(c*x^2 + a)*x^2/(c*e) - 1/2*sqrt(c*x^2 + a)*d*x/(c*e^2) - d^3*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^4) + 1/2*a*d*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*e^2) + d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^5) + sqrt(c*x^2 + a)*d^2/(c*e^3) - 2/3*sqrt(c*x^2 + a)*a/(c^2*e)","A",0
327,1,130,0,0.517754," ","integrate(x^3/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} x}{2 \, c e} + \frac{d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c} e^{3}} - \frac{a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{3}{2}} e} - \frac{d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{4}} - \frac{\sqrt{c x^{2} + a} d}{c e^{2}}"," ",0,"1/2*sqrt(c*x^2 + a)*x/(c*e) + d^2*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^3) - 1/2*a*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*e) - d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^4) - sqrt(c*x^2 + a)*d/(c*e^2)","A",0
328,1,90,0,0.490644," ","integrate(x^2/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c} e^{2}} + \frac{d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{3}} + \frac{\sqrt{c x^{2} + a}}{c e}"," ",0,"-d*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^2) + d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^3) + sqrt(c*x^2 + a)/(c*e)","A",0
329,1,71,0,0.485290," ","integrate(x/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c} e} - \frac{d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{2}}"," ",0,"arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e) - d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^2)","A",0
330,1,52,0,0.463397," ","integrate(1/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e}"," ",0,"arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e)","A",0
331,0,0,0,0.000000," ","integrate(1/x/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)*x), x)","F",0
332,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)*x^2), x)","F",0
333,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)*x^3), x)","F",0
334,1,251,0,0.620600," ","integrate(x^4/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{c d^{5} x}{\sqrt{c x^{2} + a} a c d^{2} e^{4} + \sqrt{c x^{2} + a} a^{2} e^{6}} + \frac{d^{4}}{\sqrt{c x^{2} + a} c d^{2} e^{3} + \sqrt{c x^{2} + a} a e^{5}} + \frac{x^{2}}{\sqrt{c x^{2} + a} c e} - \frac{d^{3} x}{\sqrt{c x^{2} + a} a e^{4}} + \frac{d x}{\sqrt{c x^{2} + a} c e^{2}} - \frac{d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}} e^{2}} + \frac{d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{5}} - \frac{d^{2}}{\sqrt{c x^{2} + a} c e^{3}} + \frac{2 \, a}{\sqrt{c x^{2} + a} c^{2} e}"," ",0,"c*d^5*x/(sqrt(c*x^2 + a)*a*c*d^2*e^4 + sqrt(c*x^2 + a)*a^2*e^6) + d^4/(sqrt(c*x^2 + a)*c*d^2*e^3 + sqrt(c*x^2 + a)*a*e^5) + x^2/(sqrt(c*x^2 + a)*c*e) - d^3*x/(sqrt(c*x^2 + a)*a*e^4) + d*x/(sqrt(c*x^2 + a)*c*e^2) - d*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*e^2) + d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^5) - d^2/(sqrt(c*x^2 + a)*c*e^3) + 2*a/(sqrt(c*x^2 + a)*c^2*e)","A",0
335,1,211,0,0.587452," ","integrate(x^3/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","-\frac{c d^{4} x}{\sqrt{c x^{2} + a} a c d^{2} e^{3} + \sqrt{c x^{2} + a} a^{2} e^{5}} - \frac{d^{3}}{\sqrt{c x^{2} + a} c d^{2} e^{2} + \sqrt{c x^{2} + a} a e^{4}} + \frac{d^{2} x}{\sqrt{c x^{2} + a} a e^{3}} - \frac{x}{\sqrt{c x^{2} + a} c e} + \frac{\operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}} e} - \frac{d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{4}} + \frac{d}{\sqrt{c x^{2} + a} c e^{2}}"," ",0,"-c*d^4*x/(sqrt(c*x^2 + a)*a*c*d^2*e^3 + sqrt(c*x^2 + a)*a^2*e^5) - d^3/(sqrt(c*x^2 + a)*c*d^2*e^2 + sqrt(c*x^2 + a)*a*e^4) + d^2*x/(sqrt(c*x^2 + a)*a*e^3) - x/(sqrt(c*x^2 + a)*c*e) + arcsinh(c*x/sqrt(a*c))/(c^(3/2)*e) - d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^4) + d/(sqrt(c*x^2 + a)*c*e^2)","A",0
336,1,171,0,0.546454," ","integrate(x^2/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{c d^{3} x}{\sqrt{c x^{2} + a} a c d^{2} e^{2} + \sqrt{c x^{2} + a} a^{2} e^{4}} + \frac{d^{2}}{\sqrt{c x^{2} + a} c d^{2} e + \sqrt{c x^{2} + a} a e^{3}} - \frac{d x}{\sqrt{c x^{2} + a} a e^{2}} + \frac{d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{3}} - \frac{1}{\sqrt{c x^{2} + a} c e}"," ",0,"c*d^3*x/(sqrt(c*x^2 + a)*a*c*d^2*e^2 + sqrt(c*x^2 + a)*a^2*e^4) + d^2/(sqrt(c*x^2 + a)*c*d^2*e + sqrt(c*x^2 + a)*a*e^3) - d*x/(sqrt(c*x^2 + a)*a*e^2) + d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^3) - 1/(sqrt(c*x^2 + a)*c*e)","A",0
337,1,148,0,0.540339," ","integrate(x/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","-\frac{c d^{2} x}{\sqrt{c x^{2} + a} a c d^{2} e + \sqrt{c x^{2} + a} a^{2} e^{3}} - \frac{d}{\sqrt{c x^{2} + a} c d^{2} + \sqrt{c x^{2} + a} a e^{2}} + \frac{x}{\sqrt{c x^{2} + a} a e} - \frac{d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{2}}"," ",0,"-c*d^2*x/(sqrt(c*x^2 + a)*a*c*d^2*e + sqrt(c*x^2 + a)*a^2*e^3) - d/(sqrt(c*x^2 + a)*c*d^2 + sqrt(c*x^2 + a)*a*e^2) + x/(sqrt(c*x^2 + a)*a*e) - d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^2)","A",0
338,1,123,0,0.501574," ","integrate(1/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{c d x}{\sqrt{c x^{2} + a} a c d^{2} + \sqrt{c x^{2} + a} a^{2} e^{2}} + \frac{1}{\frac{\sqrt{c x^{2} + a} c d^{2}}{e} + \sqrt{c x^{2} + a} a e} + \frac{\operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e}"," ",0,"c*d*x/(sqrt(c*x^2 + a)*a*c*d^2 + sqrt(c*x^2 + a)*a^2*e^2) + 1/(sqrt(c*x^2 + a)*c*d^2/e + sqrt(c*x^2 + a)*a*e) + arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e)","A",0
339,0,0,0,0.000000," ","integrate(1/x/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^(3/2)*(e*x + d)*x), x)","F",0
340,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^(3/2)*(e*x + d)*x^2), x)","F",0
341,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)}^{\frac{3}{2}} {\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)^(3/2)*(e*x + d)*x^3), x)","F",0
342,1,274,0,0.603780," ","integrate(x^5/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} d^{5}}{c d^{2} e^{5} x + a e^{7} x + c d^{3} e^{4} + a d e^{6}} + \frac{\sqrt{c x^{2} + a} x^{2}}{3 \, c e^{2}} - \frac{\sqrt{c x^{2} + a} d x}{c e^{3}} - \frac{4 \, d^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c} e^{5}} + \frac{a d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{c^{\frac{3}{2}} e^{3}} - \frac{c d^{6} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{8}} + \frac{5 \, d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{6}} + \frac{3 \, \sqrt{c x^{2} + a} d^{2}}{c e^{4}} - \frac{2 \, \sqrt{c x^{2} + a} a}{3 \, c^{2} e^{2}}"," ",0,"sqrt(c*x^2 + a)*d^5/(c*d^2*e^5*x + a*e^7*x + c*d^3*e^4 + a*d*e^6) + 1/3*sqrt(c*x^2 + a)*x^2/(c*e^2) - sqrt(c*x^2 + a)*d*x/(c*e^3) - 4*d^3*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^5) + a*d*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*e^3) - c*d^6*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^8) + 5*d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^6) + 3*sqrt(c*x^2 + a)*d^2/(c*e^4) - 2/3*sqrt(c*x^2 + a)*a/(c^2*e^2)","A",0
343,1,233,0,0.570662," ","integrate(x^4/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a} d^{4}}{c d^{2} e^{4} x + a e^{6} x + c d^{3} e^{3} + a d e^{5}} + \frac{\sqrt{c x^{2} + a} x}{2 \, c e^{2}} + \frac{3 \, d^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c} e^{4}} - \frac{a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, c^{\frac{3}{2}} e^{2}} + \frac{c d^{5} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{7}} - \frac{4 \, d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{5}} - \frac{2 \, \sqrt{c x^{2} + a} d}{c e^{3}}"," ",0,"-sqrt(c*x^2 + a)*d^4/(c*d^2*e^4*x + a*e^6*x + c*d^3*e^3 + a*d*e^5) + 1/2*sqrt(c*x^2 + a)*x/(c*e^2) + 3*d^2*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^4) - 1/2*a*arcsinh(c*x/sqrt(a*c))/(c^(3/2)*e^2) + c*d^5*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^7) - 4*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^5) - 2*sqrt(c*x^2 + a)*d/(c*e^3)","A",0
344,1,193,0,0.543174," ","integrate(x^3/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} d^{3}}{c d^{2} e^{3} x + a e^{5} x + c d^{3} e^{2} + a d e^{4}} - \frac{2 \, d \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c} e^{3}} - \frac{c d^{4} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{6}} + \frac{3 \, d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{4}} + \frac{\sqrt{c x^{2} + a}}{c e^{2}}"," ",0,"sqrt(c*x^2 + a)*d^3/(c*d^2*e^3*x + a*e^5*x + c*d^3*e^2 + a*d*e^4) - 2*d*arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^3) - c*d^4*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^6) + 3*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^4) + sqrt(c*x^2 + a)/(c*e^2)","A",0
345,1,171,0,0.533352," ","integrate(x^2/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a} d^{2}}{c d^{2} e^{2} x + a e^{4} x + c d^{3} e + a d e^{3}} + \frac{\operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c} e^{2}} + \frac{c d^{3} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{5}} - \frac{2 \, d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{3}}"," ",0,"-sqrt(c*x^2 + a)*d^2/(c*d^2*e^2*x + a*e^4*x + c*d^3*e + a*d*e^3) + arcsinh(c*x/sqrt(a*c))/(sqrt(c)*e^2) + c*d^3*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^5) - 2*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^3)","A",0
346,1,148,0,0.515244," ","integrate(x/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + a} d}{c d^{2} e x + a e^{3} x + c d^{3} + a d e^{2}} - \frac{c d^{2} \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{4}} + \frac{\operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{\sqrt{a + \frac{c d^{2}}{e^{2}}} e^{2}}"," ",0,"sqrt(c*x^2 + a)*d/(c*d^2*e*x + a*e^3*x + c*d^3 + a*d*e^2) - c*d^2*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^4) + arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/(sqrt(a + c*d^2/e^2)*e^2)","A",0
347,1,93,0,0.490343," ","integrate(1/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2} + a}}{c d^{2} x + a e^{2} x + \frac{c d^{3}}{e} + a d e} + \frac{c d \operatorname{arsinh}\left(\frac{c d x}{\sqrt{a c} {\left| e x + d \right|}} - \frac{a e}{\sqrt{a c} {\left| e x + d \right|}}\right)}{{\left(a + \frac{c d^{2}}{e^{2}}\right)}^{\frac{3}{2}} e^{3}}"," ",0,"-sqrt(c*x^2 + a)/(c*d^2*x + a*e^2*x + c*d^3/e + a*d*e) + c*d*arcsinh(c*d*x/(sqrt(a*c)*abs(e*x + d)) - a*e/(sqrt(a*c)*abs(e*x + d)))/((a + c*d^2/e^2)^(3/2)*e^3)","A",0
348,0,0,0,0.000000," ","integrate(1/x/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{2} x}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)^2*x), x)","F",0
349,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)^2*x^2), x)","F",0
350,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)^2*x^3), x)","F",0
351,1,210,0,0.471599," ","integrate(x^2*(b*x+a)^n*(d*x^2+c),x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n} c}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}} + \frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b n x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{n} d}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}}"," ",0,"((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n*c/((n^3 + 6*n^2 + 11*n + 6)*b^3) + ((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*x^3 + 12*(n^2 + n)*a^3*b^2*x^2 - 24*a^4*b*n*x + 24*a^5)*(b*x + a)^n*d/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5)","A",0
352,1,146,0,0.466611," ","integrate(x*(b*x+a)^n*(d*x^2+c),x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n} c}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n} d}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n*c/((n^2 + 3*n + 2)*b^2) + ((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n*d/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4)","A",0
353,1,89,0,0.457443," ","integrate((b*x+a)^n*(d*x^2+c),x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{n + 1} c}{b {\left(n + 1\right)}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n} d}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}}"," ",0,"(b*x + a)^(n + 1)*c/(b*(n + 1)) + ((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n*d/((n^3 + 6*n^2 + 11*n + 6)*b^3)","A",0
354,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x^2+c)/x,x, algorithm=""maxima"")","\int \frac{{\left(d x^{2} + c\right)} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((d*x^2 + c)*(b*x + a)^n/x, x)","F",0
355,1,447,0,0.504570," ","integrate(x^2*(b*x+a)^n*(d*x^2+c)^2,x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n} c^{2}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}} + \frac{2 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b n x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{n} c d}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}} + \frac{{\left({\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{7} x^{7} + {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a b^{6} x^{6} - 6 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{2} b^{5} x^{5} + 30 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{3} b^{4} x^{4} - 120 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{4} b^{3} x^{3} + 360 \, {\left(n^{2} + n\right)} a^{5} b^{2} x^{2} - 720 \, a^{6} b n x + 720 \, a^{7}\right)} {\left(b x + a\right)}^{n} d^{2}}{{\left(n^{7} + 28 \, n^{6} + 322 \, n^{5} + 1960 \, n^{4} + 6769 \, n^{3} + 13132 \, n^{2} + 13068 \, n + 5040\right)} b^{7}}"," ",0,"((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n*c^2/((n^3 + 6*n^2 + 11*n + 6)*b^3) + 2*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*x^3 + 12*(n^2 + n)*a^3*b^2*x^2 - 24*a^4*b*n*x + 24*a^5)*(b*x + a)^n*c*d/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5) + ((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^7*x^7 + (n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a*b^6*x^6 - 6*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^2*b^5*x^5 + 30*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^3*b^4*x^4 - 120*(n^3 + 3*n^2 + 2*n)*a^4*b^3*x^3 + 360*(n^2 + n)*a^5*b^2*x^2 - 720*a^6*b*n*x + 720*a^7)*(b*x + a)^n*d^2/((n^7 + 28*n^6 + 322*n^5 + 1960*n^4 + 6769*n^3 + 13132*n^2 + 13068*n + 5040)*b^7)","A",0
356,1,335,0,0.499697," ","integrate(x*(b*x+a)^n*(d*x^2+c)^2,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n} c^{2}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}} + \frac{2 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n} c d}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}} + \frac{{\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{6} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a b^{5} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{2} b^{4} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{3} b^{3} x^{3} - 60 \, {\left(n^{2} + n\right)} a^{4} b^{2} x^{2} + 120 \, a^{5} b n x - 120 \, a^{6}\right)} {\left(b x + a\right)}^{n} d^{2}}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{6}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n*c^2/((n^2 + 3*n + 2)*b^2) + 2*((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n*c*d/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4) + ((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^6*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a*b^5*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^2*b^4*x^4 + 20*(n^3 + 3*n^2 + 2*n)*a^3*b^3*x^3 - 60*(n^2 + n)*a^4*b^2*x^2 + 120*a^5*b*n*x - 120*a^6)*(b*x + a)^n*d^2/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^6)","A",0
357,1,235,0,0.477364," ","integrate((b*x+a)^n*(d*x^2+c)^2,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{n + 1} c^{2}}{b {\left(n + 1\right)}} + \frac{2 \, {\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n} c d}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}} + \frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b n x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{n} d^{2}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}}"," ",0,"(b*x + a)^(n + 1)*c^2/(b*(n + 1)) + 2*((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n*c*d/((n^3 + 6*n^2 + 11*n + 6)*b^3) + ((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*x^3 + 12*(n^2 + n)*a^3*b^2*x^2 - 24*a^4*b*n*x + 24*a^5)*(b*x + a)^n*d^2/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5)","A",0
358,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x^2+c)^2/x,x, algorithm=""maxima"")","\int \frac{{\left(d x^{2} + c\right)}^{2} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((d*x^2 + c)^2*(b*x + a)^n/x, x)","F",0
359,1,795,0,0.549678," ","integrate(x^2*(b*x+a)^n*(d*x^2+c)^3,x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n} c^{3}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}} + \frac{3 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b n x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{n} c^{2} d}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}} + \frac{3 \, {\left({\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{7} x^{7} + {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a b^{6} x^{6} - 6 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{2} b^{5} x^{5} + 30 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{3} b^{4} x^{4} - 120 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{4} b^{3} x^{3} + 360 \, {\left(n^{2} + n\right)} a^{5} b^{2} x^{2} - 720 \, a^{6} b n x + 720 \, a^{7}\right)} {\left(b x + a\right)}^{n} c d^{2}}{{\left(n^{7} + 28 \, n^{6} + 322 \, n^{5} + 1960 \, n^{4} + 6769 \, n^{3} + 13132 \, n^{2} + 13068 \, n + 5040\right)} b^{7}} + \frac{{\left({\left(n^{8} + 36 \, n^{7} + 546 \, n^{6} + 4536 \, n^{5} + 22449 \, n^{4} + 67284 \, n^{3} + 118124 \, n^{2} + 109584 \, n + 40320\right)} b^{9} x^{9} + {\left(n^{8} + 28 \, n^{7} + 322 \, n^{6} + 1960 \, n^{5} + 6769 \, n^{4} + 13132 \, n^{3} + 13068 \, n^{2} + 5040 \, n\right)} a b^{8} x^{8} - 8 \, {\left(n^{7} + 21 \, n^{6} + 175 \, n^{5} + 735 \, n^{4} + 1624 \, n^{3} + 1764 \, n^{2} + 720 \, n\right)} a^{2} b^{7} x^{7} + 56 \, {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a^{3} b^{6} x^{6} - 336 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{4} b^{5} x^{5} + 1680 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{5} b^{4} x^{4} - 6720 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{6} b^{3} x^{3} + 20160 \, {\left(n^{2} + n\right)} a^{7} b^{2} x^{2} - 40320 \, a^{8} b n x + 40320 \, a^{9}\right)} {\left(b x + a\right)}^{n} d^{3}}{{\left(n^{9} + 45 \, n^{8} + 870 \, n^{7} + 9450 \, n^{6} + 63273 \, n^{5} + 269325 \, n^{4} + 723680 \, n^{3} + 1172700 \, n^{2} + 1026576 \, n + 362880\right)} b^{9}}"," ",0,"((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n*c^3/((n^3 + 6*n^2 + 11*n + 6)*b^3) + 3*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*x^3 + 12*(n^2 + n)*a^3*b^2*x^2 - 24*a^4*b*n*x + 24*a^5)*(b*x + a)^n*c^2*d/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5) + 3*((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^7*x^7 + (n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a*b^6*x^6 - 6*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^2*b^5*x^5 + 30*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^3*b^4*x^4 - 120*(n^3 + 3*n^2 + 2*n)*a^4*b^3*x^3 + 360*(n^2 + n)*a^5*b^2*x^2 - 720*a^6*b*n*x + 720*a^7)*(b*x + a)^n*c*d^2/((n^7 + 28*n^6 + 322*n^5 + 1960*n^4 + 6769*n^3 + 13132*n^2 + 13068*n + 5040)*b^7) + ((n^8 + 36*n^7 + 546*n^6 + 4536*n^5 + 22449*n^4 + 67284*n^3 + 118124*n^2 + 109584*n + 40320)*b^9*x^9 + (n^8 + 28*n^7 + 322*n^6 + 1960*n^5 + 6769*n^4 + 13132*n^3 + 13068*n^2 + 5040*n)*a*b^8*x^8 - 8*(n^7 + 21*n^6 + 175*n^5 + 735*n^4 + 1624*n^3 + 1764*n^2 + 720*n)*a^2*b^7*x^7 + 56*(n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a^3*b^6*x^6 - 336*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^4*b^5*x^5 + 1680*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^5*b^4*x^4 - 6720*(n^3 + 3*n^2 + 2*n)*a^6*b^3*x^3 + 20160*(n^2 + n)*a^7*b^2*x^2 - 40320*a^8*b*n*x + 40320*a^9)*(b*x + a)^n*d^3/((n^9 + 45*n^8 + 870*n^7 + 9450*n^6 + 63273*n^5 + 269325*n^4 + 723680*n^3 + 1172700*n^2 + 1026576*n + 362880)*b^9)","B",0
360,1,625,0,0.531936," ","integrate(x*(b*x+a)^n*(d*x^2+c)^3,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n} c^{3}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}} + \frac{3 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n} c^{2} d}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}} + \frac{3 \, {\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{6} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a b^{5} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{2} b^{4} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{3} b^{3} x^{3} - 60 \, {\left(n^{2} + n\right)} a^{4} b^{2} x^{2} + 120 \, a^{5} b n x - 120 \, a^{6}\right)} {\left(b x + a\right)}^{n} c d^{2}}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{6}} + \frac{{\left({\left(n^{7} + 28 \, n^{6} + 322 \, n^{5} + 1960 \, n^{4} + 6769 \, n^{3} + 13132 \, n^{2} + 13068 \, n + 5040\right)} b^{8} x^{8} + {\left(n^{7} + 21 \, n^{6} + 175 \, n^{5} + 735 \, n^{4} + 1624 \, n^{3} + 1764 \, n^{2} + 720 \, n\right)} a b^{7} x^{7} - 7 \, {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a^{2} b^{6} x^{6} + 42 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{3} b^{5} x^{5} - 210 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{4} b^{4} x^{4} + 840 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{5} b^{3} x^{3} - 2520 \, {\left(n^{2} + n\right)} a^{6} b^{2} x^{2} + 5040 \, a^{7} b n x - 5040 \, a^{8}\right)} {\left(b x + a\right)}^{n} d^{3}}{{\left(n^{8} + 36 \, n^{7} + 546 \, n^{6} + 4536 \, n^{5} + 22449 \, n^{4} + 67284 \, n^{3} + 118124 \, n^{2} + 109584 \, n + 40320\right)} b^{8}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n*c^3/((n^2 + 3*n + 2)*b^2) + 3*((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n*c^2*d/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4) + 3*((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^6*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a*b^5*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^2*b^4*x^4 + 20*(n^3 + 3*n^2 + 2*n)*a^3*b^3*x^3 - 60*(n^2 + n)*a^4*b^2*x^2 + 120*a^5*b*n*x - 120*a^6)*(b*x + a)^n*c*d^2/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^6) + ((n^7 + 28*n^6 + 322*n^5 + 1960*n^4 + 6769*n^3 + 13132*n^2 + 13068*n + 5040)*b^8*x^8 + (n^7 + 21*n^6 + 175*n^5 + 735*n^4 + 1624*n^3 + 1764*n^2 + 720*n)*a*b^7*x^7 - 7*(n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a^2*b^6*x^6 + 42*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^3*b^5*x^5 - 210*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^4*b^4*x^4 + 840*(n^3 + 3*n^2 + 2*n)*a^5*b^3*x^3 - 2520*(n^2 + n)*a^6*b^2*x^2 + 5040*a^7*b*n*x - 5040*a^8)*(b*x + a)^n*d^3/((n^8 + 36*n^7 + 546*n^6 + 4536*n^5 + 22449*n^4 + 67284*n^3 + 118124*n^2 + 109584*n + 40320)*b^8)","B",0
361,1,472,0,0.506507," ","integrate((b*x+a)^n*(d*x^2+c)^3,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{n + 1} c^{3}}{b {\left(n + 1\right)}} + \frac{3 \, {\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n} c^{2} d}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}} + \frac{3 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b n x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{n} c d^{2}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}} + \frac{{\left({\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{7} x^{7} + {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a b^{6} x^{6} - 6 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{2} b^{5} x^{5} + 30 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{3} b^{4} x^{4} - 120 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{4} b^{3} x^{3} + 360 \, {\left(n^{2} + n\right)} a^{5} b^{2} x^{2} - 720 \, a^{6} b n x + 720 \, a^{7}\right)} {\left(b x + a\right)}^{n} d^{3}}{{\left(n^{7} + 28 \, n^{6} + 322 \, n^{5} + 1960 \, n^{4} + 6769 \, n^{3} + 13132 \, n^{2} + 13068 \, n + 5040\right)} b^{7}}"," ",0,"(b*x + a)^(n + 1)*c^3/(b*(n + 1)) + 3*((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n*c^2*d/((n^3 + 6*n^2 + 11*n + 6)*b^3) + 3*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*x^3 + 12*(n^2 + n)*a^3*b^2*x^2 - 24*a^4*b*n*x + 24*a^5)*(b*x + a)^n*c*d^2/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5) + ((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^7*x^7 + (n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a*b^6*x^6 - 6*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^2*b^5*x^5 + 30*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^3*b^4*x^4 - 120*(n^3 + 3*n^2 + 2*n)*a^4*b^3*x^3 + 360*(n^2 + n)*a^5*b^2*x^2 - 720*a^6*b*n*x + 720*a^7)*(b*x + a)^n*d^3/((n^7 + 28*n^6 + 322*n^5 + 1960*n^4 + 6769*n^3 + 13132*n^2 + 13068*n + 5040)*b^7)","B",0
362,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x^2+c)^3/x,x, algorithm=""maxima"")","\int \frac{{\left(d x^{2} + c\right)}^{3} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((d*x^2 + c)^3*(b*x + a)^n/x, x)","F",0
363,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^n/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} x^{4}}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^n*x^4/(c*x^2 + a), x)","F",0
364,0,0,0,0.000000," ","integrate(x^3*(e*x+d)^n/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} x^{3}}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^n*x^3/(c*x^2 + a), x)","F",0
365,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^n/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} x^{2}}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^n*x^2/(c*x^2 + a), x)","F",0
366,0,0,0,0.000000," ","integrate(x*(e*x+d)^n/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} x}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^n*x/(c*x^2 + a), x)","F",0
367,0,0,0,0.000000," ","integrate((e*x+d)^n/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n}}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^n/(c*x^2 + a), x)","F",0
368,0,0,0,0.000000," ","integrate((e*x+d)^n/x/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n}}{{\left(c x^{2} + a\right)} x}\,{d x}"," ",0,"integrate((e*x + d)^n/((c*x^2 + a)*x), x)","F",0
369,0,0,0,0.000000," ","integrate((e*x+d)^n/x^2/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n}}{{\left(c x^{2} + a\right)} x^{2}}\,{d x}"," ",0,"integrate((e*x + d)^n/((c*x^2 + a)*x^2), x)","F",0
370,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^n/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} x^{4}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^n*x^4/(c*x^2 + a)^2, x)","F",0
371,0,0,0,0.000000," ","integrate(x^3*(e*x+d)^n/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} x^{3}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^n*x^3/(c*x^2 + a)^2, x)","F",0
372,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^n/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} x^{2}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^n*x^2/(c*x^2 + a)^2, x)","F",0
373,0,0,0,0.000000," ","integrate(x*(e*x+d)^n/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} x}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^n*x/(c*x^2 + a)^2, x)","F",0
374,0,0,0,0.000000," ","integrate((e*x+d)^n/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^n/(c*x^2 + a)^2, x)","F",0
375,0,0,0,0.000000," ","integrate((e*x+d)^n/x/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n}}{{\left(c x^{2} + a\right)}^{2} x}\,{d x}"," ",0,"integrate((e*x + d)^n/((c*x^2 + a)^2*x), x)","F",0
376,0,0,0,0.000000," ","integrate((e*x+d)^n/x^2/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n}}{{\left(c x^{2} + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((e*x + d)^n/((c*x^2 + a)^2*x^2), x)","F",0
377,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^n*(c*x^2+a)^2,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{2} {\left(e x + d\right)}^{n} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + a)^2*(e*x + d)^n*(g*x)^m, x)","F",0
378,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^n*(c*x^2+a),x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)} {\left(e x + d\right)}^{n} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + a)*(e*x + d)^n*(g*x)^m, x)","F",0
379,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^n/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} \left(g x\right)^{m}}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^n*(g*x)^m/(c*x^2 + a), x)","F",0
380,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^n/(c*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{n} \left(g x\right)^{m}}{{\left(c x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^n*(g*x)^m/(c*x^2 + a)^2, x)","F",0
381,0,0,0,0.000000," ","integrate(x^5*(e*x+d)*(b*x^2+a)^p,x, algorithm=""maxima"")","e \int {\left(b x^{2} + a\right)}^{p} x^{6}\,{d x} + \frac{{\left({\left(p^{2} + 3 \, p + 2\right)} b^{3} x^{6} + {\left(p^{2} + p\right)} a b^{2} x^{4} - 2 \, a^{2} b p x^{2} + 2 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{p} d}{2 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{3}}"," ",0,"e*integrate((b*x^2 + a)^p*x^6, x) + 1/2*((p^2 + 3*p + 2)*b^3*x^6 + (p^2 + p)*a*b^2*x^4 - 2*a^2*b*p*x^2 + 2*a^3)*(b*x^2 + a)^p*d/((p^3 + 6*p^2 + 11*p + 6)*b^3)","F",0
382,0,0,0,0.000000," ","integrate(x^4*(e*x+d)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(b x^{2} + a\right)}^{p} x^{4}\,{d x}"," ",0,"integrate((e*x + d)*(b*x^2 + a)^p*x^4, x)","F",0
383,0,0,0,0.000000," ","integrate(x^3*(e*x+d)*(b*x^2+a)^p,x, algorithm=""maxima"")","e \int {\left(b x^{2} + a\right)}^{p} x^{4}\,{d x} + \frac{{\left(b^{2} {\left(p + 1\right)} x^{4} + a b p x^{2} - a^{2}\right)} {\left(b x^{2} + a\right)}^{p} d}{2 \, {\left(p^{2} + 3 \, p + 2\right)} b^{2}}"," ",0,"e*integrate((b*x^2 + a)^p*x^4, x) + 1/2*(b^2*(p + 1)*x^4 + a*b*p*x^2 - a^2)*(b*x^2 + a)^p*d/((p^2 + 3*p + 2)*b^2)","F",0
384,0,0,0,0.000000," ","integrate(x^2*(e*x+d)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(b x^{2} + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((e*x + d)*(b*x^2 + a)^p*x^2, x)","F",0
385,0,0,0,0.000000," ","integrate(x*(e*x+d)*(b*x^2+a)^p,x, algorithm=""maxima"")","e \int {\left(b x^{2} + a\right)}^{p} x^{2}\,{d x} + \frac{{\left(b x^{2} + a\right)}^{p + 1} d}{2 \, b {\left(p + 1\right)}}"," ",0,"e*integrate((b*x^2 + a)^p*x^2, x) + 1/2*(b*x^2 + a)^(p + 1)*d/(b*(p + 1))","F",0
386,0,0,0,0.000000," ","integrate((e*x+d)*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)*(b*x^2 + a)^p, x)","F",0
387,0,0,0,0.000000," ","integrate((e*x+d)*(b*x^2+a)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} {\left(b x^{2} + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((e*x + d)*(b*x^2 + a)^p/x, x)","F",0
388,0,0,0,0.000000," ","integrate((e*x+d)*(b*x^2+a)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} {\left(b x^{2} + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((e*x + d)*(b*x^2 + a)^p/x^2, x)","F",0
389,0,0,0,0.000000," ","integrate((e*x+d)*(b*x^2+a)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} {\left(b x^{2} + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((e*x + d)*(b*x^2 + a)^p/x^3, x)","F",0
390,0,0,0,0.000000," ","integrate(x^5*(e*x+d)^2*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{2} + 3 \, p + 2\right)} b^{3} x^{6} + {\left(p^{2} + p\right)} a b^{2} x^{4} - 2 \, a^{2} b p x^{2} + 2 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{p} d^{2}}{2 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{3}} + \int {\left(e^{2} x^{7} + 2 \, d e x^{6}\right)} {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"1/2*((p^2 + 3*p + 2)*b^3*x^6 + (p^2 + p)*a*b^2*x^4 - 2*a^2*b*p*x^2 + 2*a^3)*(b*x^2 + a)^p*d^2/((p^3 + 6*p^2 + 11*p + 6)*b^3) + integrate((e^2*x^7 + 2*d*e*x^6)*(b*x^2 + a)^p, x)","F",0
391,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^2*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(b x^{2} + a\right)}^{p} x^{4}\,{d x}"," ",0,"integrate((e*x + d)^2*(b*x^2 + a)^p*x^4, x)","F",0
392,0,0,0,0.000000," ","integrate(x^3*(e*x+d)^2*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(p + 1\right)} x^{4} + a b p x^{2} - a^{2}\right)} {\left(b x^{2} + a\right)}^{p} d^{2}}{2 \, {\left(p^{2} + 3 \, p + 2\right)} b^{2}} + \int {\left(e^{2} x^{5} + 2 \, d e x^{4}\right)} {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"1/2*(b^2*(p + 1)*x^4 + a*b*p*x^2 - a^2)*(b*x^2 + a)^p*d^2/((p^2 + 3*p + 2)*b^2) + integrate((e^2*x^5 + 2*d*e*x^4)*(b*x^2 + a)^p, x)","F",0
393,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^2*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(b x^{2} + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((e*x + d)^2*(b*x^2 + a)^p*x^2, x)","F",0
394,0,0,0,0.000000," ","integrate(x*(e*x+d)^2*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{p + 1} d^{2}}{2 \, b {\left(p + 1\right)}} + \int {\left(e^{2} x^{3} + 2 \, d e x^{2}\right)} {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"1/2*(b*x^2 + a)^(p + 1)*d^2/(b*(p + 1)) + integrate((e^2*x^3 + 2*d*e*x^2)*(b*x^2 + a)^p, x)","F",0
395,0,0,0,0.000000," ","integrate((e*x+d)^2*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^2*(b*x^2 + a)^p, x)","F",0
396,0,0,0,0.000000," ","integrate((e*x+d)^2*(b*x^2+a)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2} {\left(b x^{2} + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((e*x + d)^2*(b*x^2 + a)^p/x, x)","F",0
397,0,0,0,0.000000," ","integrate((e*x+d)^2*(b*x^2+a)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2} {\left(b x^{2} + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((e*x + d)^2*(b*x^2 + a)^p/x^2, x)","F",0
398,0,0,0,0.000000," ","integrate((e*x+d)^2*(b*x^2+a)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2} {\left(b x^{2} + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((e*x + d)^2*(b*x^2 + a)^p/x^3, x)","F",0
399,0,0,0,0.000000," ","integrate(x^5*(e*x+d)^3*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{2} + 3 \, p + 2\right)} b^{3} x^{6} + {\left(p^{2} + p\right)} a b^{2} x^{4} - 2 \, a^{2} b p x^{2} + 2 \, a^{3}\right)} {\left(b x^{2} + a\right)}^{p} d^{3}}{2 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{3}} + \int {\left(e^{3} x^{8} + 3 \, d e^{2} x^{7} + 3 \, d^{2} e x^{6}\right)} {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"1/2*((p^2 + 3*p + 2)*b^3*x^6 + (p^2 + p)*a*b^2*x^4 - 2*a^2*b*p*x^2 + 2*a^3)*(b*x^2 + a)^p*d^3/((p^3 + 6*p^2 + 11*p + 6)*b^3) + integrate((e^3*x^8 + 3*d*e^2*x^7 + 3*d^2*e*x^6)*(b*x^2 + a)^p, x)","F",0
400,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^3*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(b x^{2} + a\right)}^{p} x^{4}\,{d x}"," ",0,"integrate((e*x + d)^3*(b*x^2 + a)^p*x^4, x)","F",0
401,0,0,0,0.000000," ","integrate(x^3*(e*x+d)^3*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(p + 1\right)} x^{4} + a b p x^{2} - a^{2}\right)} {\left(b x^{2} + a\right)}^{p} d^{3}}{2 \, {\left(p^{2} + 3 \, p + 2\right)} b^{2}} + \int {\left(e^{3} x^{6} + 3 \, d e^{2} x^{5} + 3 \, d^{2} e x^{4}\right)} {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"1/2*(b^2*(p + 1)*x^4 + a*b*p*x^2 - a^2)*(b*x^2 + a)^p*d^3/((p^2 + 3*p + 2)*b^2) + integrate((e^3*x^6 + 3*d*e^2*x^5 + 3*d^2*e*x^4)*(b*x^2 + a)^p, x)","F",0
402,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^3*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(b x^{2} + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((e*x + d)^3*(b*x^2 + a)^p*x^2, x)","F",0
403,0,0,0,0.000000," ","integrate(x*(e*x+d)^3*(b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{p + 1} d^{3}}{2 \, b {\left(p + 1\right)}} + \int {\left(e^{3} x^{4} + 3 \, d e^{2} x^{3} + 3 \, d^{2} e x^{2}\right)} {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"1/2*(b*x^2 + a)^(p + 1)*d^3/(b*(p + 1)) + integrate((e^3*x^4 + 3*d*e^2*x^3 + 3*d^2*e*x^2)*(b*x^2 + a)^p, x)","F",0
404,0,0,0,0.000000," ","integrate((e*x+d)^3*(b*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(b x^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x + d)^3*(b*x^2 + a)^p, x)","F",0
405,0,0,0,0.000000," ","integrate((e*x+d)^3*(b*x^2+a)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3} {\left(b x^{2} + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((e*x + d)^3*(b*x^2 + a)^p/x, x)","F",0
406,0,0,0,0.000000," ","integrate((e*x+d)^3*(b*x^2+a)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3} {\left(b x^{2} + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((e*x + d)^3*(b*x^2 + a)^p/x^2, x)","F",0
407,0,0,0,0.000000," ","integrate((e*x+d)^3*(b*x^2+a)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3} {\left(b x^{2} + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((e*x + d)^3*(b*x^2 + a)^p/x^3, x)","F",0
408,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x^{4}}{e x + d}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^4/(e*x + d), x)","F",0
409,0,0,0,0.000000," ","integrate(x^3*(b*x^2+a)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x^{3}}{e x + d}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^3/(e*x + d), x)","F",0
410,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x^{2}}{e x + d}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^2/(e*x + d), x)","F",0
411,0,0,0,0.000000," ","integrate(x*(b*x^2+a)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x}{e x + d}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x/(e*x + d), x)","F",0
412,0,0,0,0.000000," ","integrate((b*x^2+a)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{e x + d}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/(e*x + d), x)","F",0
413,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/((e*x + d)*x), x)","F",0
414,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^2/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/((e*x + d)*x^2), x)","F",0
415,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^3/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/((e*x + d)*x^3), x)","F",0
416,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x^{4}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^4/(e*x + d)^2, x)","F",0
417,0,0,0,0.000000," ","integrate(x^3*(b*x^2+a)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x^{3}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^3/(e*x + d)^2, x)","F",0
418,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x^{2}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^2/(e*x + d)^2, x)","F",0
419,0,0,0,0.000000," ","integrate(x*(b*x^2+a)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x/(e*x + d)^2, x)","F",0
420,0,0,0,0.000000," ","integrate((b*x^2+a)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/(e*x + d)^2, x)","F",0
421,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{{\left(e x + d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/((e*x + d)^2*x), x)","F",0
422,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^2/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{{\left(e x + d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/((e*x + d)^2*x^2), x)","F",0
423,0,0,0,0.000000," ","integrate(x^4*(b*x^2+a)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x^{4}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^4/(e*x + d)^3, x)","F",0
424,0,0,0,0.000000," ","integrate(x^3*(b*x^2+a)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x^{3}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^3/(e*x + d)^3, x)","F",0
425,0,0,0,0.000000," ","integrate(x^2*(b*x^2+a)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x^{2}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x^2/(e*x + d)^3, x)","F",0
426,0,0,0,0.000000," ","integrate(x*(b*x^2+a)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p} x}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p*x/(e*x + d)^3, x)","F",0
427,0,0,0,0.000000," ","integrate((b*x^2+a)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/(e*x + d)^3, x)","F",0
428,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{{\left(e x + d\right)}^{3} x}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/((e*x + d)^3*x), x)","F",0
429,0,0,0,0.000000," ","integrate((b*x^2+a)^p/x^2/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + a\right)}^{p}}{{\left(e x + d\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate((b*x^2 + a)^p/((e*x + d)^3*x^2), x)","F",0
430,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^3*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} {\left(c x^{2} + a\right)}^{p} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((e*x + d)^3*(c*x^2 + a)^p*(g*x)^m, x)","F",0
431,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)^2*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} {\left(c x^{2} + a\right)}^{p} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((e*x + d)^2*(c*x^2 + a)^p*(g*x)^m, x)","F",0
432,0,0,0,0.000000," ","integrate((g*x)^m*(e*x+d)*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(e x + d\right)} {\left(c x^{2} + a\right)}^{p} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((e*x + d)*(c*x^2 + a)^p*(g*x)^m, x)","F",0
433,0,0,0,0.000000," ","integrate((g*x)^m*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} \left(g x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(g*x)^m, x)","F",0
434,0,0,0,0.000000," ","integrate((g*x)^m*(c*x^2+a)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{p} \left(g x\right)^{m}}{e x + d}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(g*x)^m/(e*x + d), x)","F",0
435,0,0,0,0.000000," ","integrate((g*x)^m*(c*x^2+a)^p/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{p} \left(g x\right)^{m}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(g*x)^m/(e*x + d)^2, x)","F",0
436,0,0,0,0.000000," ","integrate((g*x)^m*(c*x^2+a)^p/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + a\right)}^{p} \left(g x\right)^{m}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(g*x)^m/(e*x + d)^3, x)","F",0
437,-2,0,0,0.000000," ","integrate(x^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
438,-2,0,0,0.000000," ","integrate(x^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
439,-2,0,0,0.000000," ","integrate(x*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
440,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
441,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/x/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
442,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/x^2/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/((e*x + d)*x^2), x)","F",0
443,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/x^3/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/((e*x + d)*x^3), x)","F",0
444,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/x^4/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{{\left(e x + d\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/((e*x + d)*x^4), x)","F",0
445,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/x^5/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{{\left(e x + d\right)} x^{5}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/((e*x + d)*x^5), x)","F",0
446,-2,0,0,0.000000," ","integrate(x^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^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^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
447,-2,0,0,0.000000," ","integrate(x^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^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^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
448,-2,0,0,0.000000," ","integrate(x*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^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^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
449,1,462,0,0.503297," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d),x, algorithm=""maxima"")","\frac{3 \, a^{2} c d^{2} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{16 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} + \frac{c^{3} d^{6} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{16 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{4}} - \frac{3 \, a c^{2} d^{4} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{16 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{2}} - \frac{a^{3} e^{2} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{16 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} - \frac{\sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c d^{2} x}{4 \, e} + \frac{1}{4} \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a e x - \frac{\sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c d^{3}}{8 \, e^{2}} + \frac{\sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{2} e^{2}}{8 \, c d} + \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}}}{3 \, e}"," ",0,"3/16*a^2*c*d^2*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) + 1/16*c^3*d^6*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^4) - 3/16*a*c^2*d^4*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^2) - 1/16*a^3*e^2*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) - 1/4*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c*d^2*x/e + 1/4*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a*e*x - 1/8*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c*d^3/e^2 + 1/8*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^2*e^2/(c*d) + 1/3*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)/e","B",0
450,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/x/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
451,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/x^2/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)*x^2), x)","F",0
452,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/x^3/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)*x^3), x)","F",0
453,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/x^4/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)} x^{4}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)*x^4), x)","F",0
454,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/x^5/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)} x^{5}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)*x^5), x)","F",0
455,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/x^6/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)} x^{6}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)*x^6), x)","F",0
456,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/x^7/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)} x^{7}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)*x^7), x)","F",0
457,-2,0,0,0.000000," ","integrate(x^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^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^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
458,-2,0,0,0.000000," ","integrate(x^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^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^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
459,-2,0,0,0.000000," ","integrate(x*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^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^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
460,1,915,0,0.574348," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d),x, algorithm=""maxima"")","-\frac{3 \, c^{4} d^{9} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{256 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{5}} + \frac{15 \, a c^{3} d^{7} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{256 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e^{3}} - \frac{15 \, a^{2} c^{2} d^{5} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{128 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}} e} + \frac{15 \, a^{3} c d^{3} e \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{128 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} - \frac{15 \, a^{4} d e^{3} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{256 \, \left(\frac{c d}{e}\right)^{\frac{3}{2}}} + \frac{3 \, a^{5} e^{5} \log\left(2 \, c d x + \frac{c d^{2}}{e} + a e + 2 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} \sqrt{\frac{c d}{e}}\right)}{256 \, c d \left(\frac{c d}{e}\right)^{\frac{3}{2}}} - \frac{9}{64} \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a c d^{3} x + \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c^{2} d^{5} x}{64 \, e^{2}} + \frac{9}{64} \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{2} d e^{2} x - \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{3} e^{4} x}{64 \, c d} + \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} c^{2} d^{6}}{128 \, e^{3}} - \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a c d^{4}}{64 \, e} + \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{3} e^{3}}{64 \, c} - \frac{3 \, \sqrt{c d e x^{2} + c d^{2} x + a e^{2} x + a d e} a^{4} e^{5}}{128 \, c^{2} d^{2}} - \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} c d^{2} x}{8 \, e} + \frac{1}{8} \, {\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} a e x - \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} c d^{3}}{16 \, e^{2}} + \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{3}{2}} a^{2} e^{2}}{16 \, c d} + \frac{{\left(c d e x^{2} + c d^{2} x + a e^{2} x + a d e\right)}^{\frac{5}{2}}}{5 \, e}"," ",0,"-3/256*c^4*d^9*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^5) + 15/256*a*c^3*d^7*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e^3) - 15/128*a^2*c^2*d^5*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/((c*d/e)^(3/2)*e) + 15/128*a^3*c*d^3*e*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) - 15/256*a^4*d*e^3*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d/e)^(3/2) + 3/256*a^5*e^5*log(2*c*d*x + c*d^2/e + a*e + 2*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*sqrt(c*d/e))/(c*d*(c*d/e)^(3/2)) - 9/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a*c*d^3*x + 3/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c^2*d^5*x/e^2 + 9/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^2*d*e^2*x - 3/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^3*e^4*x/(c*d) + 3/128*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*c^2*d^6/e^3 - 3/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a*c*d^4/e + 3/64*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^3*e^3/c - 3/128*sqrt(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)*a^4*e^5/(c^2*d^2) - 1/8*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*c*d^2*x/e + 1/8*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*a*e*x - 1/16*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*c*d^3/e^2 + 1/16*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(3/2)*a^2*e^2/(c*d) + 1/5*(c*d*e*x^2 + c*d^2*x + a*e^2*x + a*d*e)^(5/2)/e","B",0
461,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
462,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x^2/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)*x^2), x)","F",0
463,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x^3/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)*x^3), x)","F",0
464,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x^4/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)} x^{4}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)*x^4), x)","F",0
465,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x^5/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)} x^{5}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)*x^5), x)","F",0
466,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x^6/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)} x^{6}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)*x^6), x)","F",0
467,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x^7/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)} x^{7}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)*x^7), x)","F",0
468,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x^8/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)} x^{8}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)*x^8), x)","F",0
469,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x^9/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)} x^{9}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)*x^9), x)","F",0
470,-2,0,0,0.000000," ","integrate(x^3/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
471,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
472,-2,0,0,0.000000," ","integrate(x/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
473,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
474,0,0,0,0.000000," ","integrate(1/x/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(1/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(e*x + d)*x), x)","F",0
475,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(e*x + d)*x^2), x)","F",0
476,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(e*x + d)*x^3), x)","F",0
477,-2,0,0,0.000000," ","integrate(x^5/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
478,-2,0,0,0.000000," ","integrate(x^4/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
479,-2,0,0,0.000000," ","integrate(x^3/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
480,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
481,-2,0,0,0.000000," ","integrate(x/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
482,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
483,0,0,0,0.000000," ","integrate(1/x/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(e*x + d)*x), x)","F",0
484,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(e*x + d)*x^2), x)","F",0
485,0,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(e*x + d)*x^3), x)","F",0
486,0,0,0,0.000000," ","integrate(1/x^4/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(e x + d\right)} x^{4}}\,{d x}"," ",0,"integrate(1/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(e*x + d)*x^4), x)","F",0
487,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
488,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(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(a*e^2-c*d^2>0)', see `assume?` for more details)Is a*e^2-c*d^2 zero or nonzero?","F(-2)",0
489,0,0,0,0.000000," ","integrate(x^3*(1+x)^(1/2)*(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{2} - x + 1} \sqrt{x + 1} x^{3}\,{d x}"," ",0,"integrate(sqrt(x^2 - x + 1)*sqrt(x + 1)*x^3, x)","F",0
490,1,22,0,0.954937," ","integrate(x^2*(1+x)^(1/2)*(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, {\left(x^{3} + 1\right)} \sqrt{x^{2} - x + 1} \sqrt{x + 1}"," ",0,"2/9*(x^3 + 1)*sqrt(x^2 - x + 1)*sqrt(x + 1)","A",0
491,0,0,0,0.000000," ","integrate(x*(1+x)^(1/2)*(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{2} - x + 1} \sqrt{x + 1} x\,{d x}"," ",0,"integrate(sqrt(x^2 - x + 1)*sqrt(x + 1)*x, x)","F",0
492,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{2} - x + 1} \sqrt{x + 1}\,{d x}"," ",0,"integrate(sqrt(x^2 - x + 1)*sqrt(x + 1), x)","F",0
493,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2-x+1)^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} - x + 1} \sqrt{x + 1}}{x}\,{d x}"," ",0,"integrate(sqrt(x^2 - x + 1)*sqrt(x + 1)/x, x)","F",0
494,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2-x+1)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} - x + 1} \sqrt{x + 1}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^2 - x + 1)*sqrt(x + 1)/x^2, x)","F",0
495,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2-x+1)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} - x + 1} \sqrt{x + 1}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(x^2 - x + 1)*sqrt(x + 1)/x^3, x)","F",0
496,0,0,0,0.000000," ","integrate(x^3*(1+x)^(3/2)*(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}} x^{3}\,{d x}"," ",0,"integrate((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)*x^3, x)","F",0
497,1,27,0,0.974341," ","integrate(x^2*(1+x)^(3/2)*(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(x^{6} + 2 \, x^{3} + 1\right)} \sqrt{x^{2} - x + 1} \sqrt{x + 1}"," ",0,"2/15*(x^6 + 2*x^3 + 1)*sqrt(x^2 - x + 1)*sqrt(x + 1)","A",0
498,0,0,0,0.000000," ","integrate(x*(1+x)^(3/2)*(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)*x, x)","F",0
499,0,0,0,0.000000," ","integrate((1+x)^(3/2)*(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((x^2 - x + 1)^(3/2)*(x + 1)^(3/2), x)","F",0
500,0,0,0,0.000000," ","integrate((1+x)^(3/2)*(x^2-x+1)^(3/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)/x, x)","F",0
501,0,0,0,0.000000," ","integrate((1+x)^(3/2)*(x^2-x+1)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)/x^2, x)","F",0
502,0,0,0,0.000000," ","integrate((1+x)^(3/2)*(x^2-x+1)^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)/x^3, x)","F",0
503,0,0,0,0.000000," ","integrate(x^3/(1+x)^(1/2)/(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{x^{2} - x + 1} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(x^3/(sqrt(x^2 - x + 1)*sqrt(x + 1)), x)","F",0
504,1,22,0,0.970372," ","integrate(x^2/(1+x)^(1/2)/(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{3} + 1\right)}}{3 \, \sqrt{x^{2} - x + 1} \sqrt{x + 1}}"," ",0,"2/3*(x^3 + 1)/(sqrt(x^2 - x + 1)*sqrt(x + 1))","A",0
505,0,0,0,0.000000," ","integrate(x/(1+x)^(1/2)/(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{2} - x + 1} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(x/(sqrt(x^2 - x + 1)*sqrt(x + 1)), x)","F",0
506,0,0,0,0.000000," ","integrate(1/(1+x)^(1/2)/(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} - x + 1} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(x^2 - x + 1)*sqrt(x + 1)), x)","F",0
507,0,0,0,0.000000," ","integrate(1/x/(1+x)^(1/2)/(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} - x + 1} \sqrt{x + 1} x}\,{d x}"," ",0,"integrate(1/(sqrt(x^2 - x + 1)*sqrt(x + 1)*x), x)","F",0
508,0,0,0,0.000000," ","integrate(1/x^2/(1+x)^(1/2)/(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} - x + 1} \sqrt{x + 1} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^2 - x + 1)*sqrt(x + 1)*x^2), x)","F",0
509,0,0,0,0.000000," ","integrate(1/x^3/(1+x)^(1/2)/(x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} - x + 1} \sqrt{x + 1} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(x^2 - x + 1)*sqrt(x + 1)*x^3), x)","F",0
510,0,0,0,0.000000," ","integrate(x^3/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)), x)","F",0
511,1,17,0,0.978255," ","integrate(x^2/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""maxima"")","-\frac{2}{3 \, \sqrt{x^{2} - x + 1} \sqrt{x + 1}}"," ",0,"-2/3/(sqrt(x^2 - x + 1)*sqrt(x + 1))","A",0
512,0,0,0,0.000000," ","integrate(x/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)), x)","F",0
513,0,0,0,0.000000," ","integrate(1/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)), x)","F",0
514,0,0,0,0.000000," ","integrate(1/x/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)*x), x)","F",0
515,0,0,0,0.000000," ","integrate(1/x^2/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)*x^2), x)","F",0
516,0,0,0,0.000000," ","integrate(1/x^3/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)*x^3), x)","F",0
517,0,0,0,0.000000," ","integrate(x^3/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(x^{2} - x + 1\right)}^{\frac{5}{2}} {\left(x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^3/((x^2 - x + 1)^(5/2)*(x + 1)^(5/2)), x)","F",0
518,1,24,0,0.970810," ","integrate(x^2/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""maxima"")","-\frac{2}{9 \, {\left(x^{3} + 1\right)} \sqrt{x^{2} - x + 1} \sqrt{x + 1}}"," ",0,"-2/9/((x^3 + 1)*sqrt(x^2 - x + 1)*sqrt(x + 1))","A",0
519,0,0,0,0.000000," ","integrate(x/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{2} - x + 1\right)}^{\frac{5}{2}} {\left(x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x/((x^2 - x + 1)^(5/2)*(x + 1)^(5/2)), x)","F",0
520,0,0,0,0.000000," ","integrate(1/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{5}{2}} {\left(x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(5/2)*(x + 1)^(5/2)), x)","F",0
521,0,0,0,0.000000," ","integrate(1/x/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{5}{2}} {\left(x + 1\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(5/2)*(x + 1)^(5/2)*x), x)","F",0
522,0,0,0,0.000000," ","integrate(1/x^2/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{5}{2}} {\left(x + 1\right)}^{\frac{5}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(5/2)*(x + 1)^(5/2)*x^2), x)","F",0
523,0,0,0,0.000000," ","integrate(1/x^3/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{5}{2}} {\left(x + 1\right)}^{\frac{5}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(5/2)*(x + 1)^(5/2)*x^3), x)","F",0
524,1,75,0,0.959918," ","integrate(x/(-1+x)^3/(4*x^2+5*x+3)^2,x, algorithm=""maxima"")","\frac{6023}{1218816} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(8 \, x + 5\right)}\right) + \frac{388 \, x^{3} - 407 \, x^{2} - 120 \, x - 45}{4416 \, {\left(4 \, x^{4} - 3 \, x^{3} - 3 \, x^{2} - x + 3\right)}} - \frac{11}{4608} \, \log\left(4 \, x^{2} + 5 \, x + 3\right) + \frac{11}{2304} \, \log\left(x - 1\right)"," ",0,"6023/1218816*sqrt(23)*arctan(1/23*sqrt(23)*(8*x + 5)) + 1/4416*(388*x^3 - 407*x^2 - 120*x - 45)/(4*x^4 - 3*x^3 - 3*x^2 - x + 3) - 11/4608*log(4*x^2 + 5*x + 3) + 11/2304*log(x - 1)","A",0
525,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} x^{4}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*x^4/(c*x^2 + b*x + a), x)","F",0
526,0,0,0,0.000000," ","integrate(x^3*(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} x^{3}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*x^3/(c*x^2 + b*x + a), x)","F",0
527,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} x^{2}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*x^2/(c*x^2 + b*x + a), x)","F",0
528,0,0,0,0.000000," ","integrate(x*(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} x}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*x/(c*x^2 + b*x + a), x)","F",0
529,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(c*x^2 + b*x + a), x)","F",0
530,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/x/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)} x}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/((c*x^2 + b*x + a)*x), x)","F",0
531,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/x^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/((c*x^2 + b*x + a)*x^2), x)","F",0
532,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/x^3/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/((c*x^2 + b*x + a)*x^3), x)","F",0
533,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} x^{4}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*x^4/(c*x^2 + b*x + a), x)","F",0
534,0,0,0,0.000000," ","integrate(x^3*(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} x^{3}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*x^3/(c*x^2 + b*x + a), x)","F",0
535,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} x^{2}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*x^2/(c*x^2 + b*x + a), x)","F",0
536,0,0,0,0.000000," ","integrate(x*(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} x}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*x/(c*x^2 + b*x + a), x)","F",0
537,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(c*x^2 + b*x + a), x)","F",0
538,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/x/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)} x}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*x^2 + b*x + a)*x), x)","F",0
539,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/x^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)} x^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*x^2 + b*x + a)*x^2), x)","F",0
540,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/x^3/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)} x^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*x^2 + b*x + a)*x^3), x)","F",0
541,0,0,0,0.000000," ","integrate(x^m*(f*x+e)^n/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{m}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x^m/(c*x^2 + b*x + a), x)","F",0
542,0,0,0,0.000000," ","integrate(x^3*(f*x+e)^n/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{3}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x^3/(c*x^2 + b*x + a), x)","F",0
543,0,0,0,0.000000," ","integrate(x^2*(f*x+e)^n/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{2}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x^2/(c*x^2 + b*x + a), x)","F",0
544,0,0,0,0.000000," ","integrate(x*(f*x+e)^n/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x/(c*x^2 + b*x + a), x)","F",0
545,0,0,0,0.000000," ","integrate((f*x+e)^n/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((f*x + e)^n/(c*x^2 + b*x + a), x)","F",0
546,0,0,0,0.000000," ","integrate((f*x+e)^n/x/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n}}{{\left(c x^{2} + b x + a\right)} x}\,{d x}"," ",0,"integrate((f*x + e)^n/((c*x^2 + b*x + a)*x), x)","F",0
547,0,0,0,0.000000," ","integrate((f*x+e)^n/x^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n}}{{\left(c x^{2} + b x + a\right)} x^{2}}\,{d x}"," ",0,"integrate((f*x + e)^n/((c*x^2 + b*x + a)*x^2), x)","F",0
548,1,175,0,0.472315," ","integrate((e*x+d)^4*(g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\frac{6 \, e^{4} g^{2} x^{5} + 15 \, {\left(e^{4} f g + 2 \, d e^{3} g^{2}\right)} x^{4} + 10 \, {\left(e^{4} f^{2} + 8 \, d e^{3} f g + 7 \, d^{2} e^{2} g^{2}\right)} x^{3} + 30 \, {\left(2 \, d e^{3} f^{2} + 7 \, d^{2} e^{2} f g + 4 \, d^{3} e g^{2}\right)} x^{2} + 30 \, {\left(7 \, d^{2} e^{2} f^{2} + 16 \, d^{3} e f g + 8 \, d^{4} g^{2}\right)} x}{30 \, e^{2}} - \frac{8 \, {\left(d^{3} e^{2} f^{2} + 2 \, d^{4} e f g + d^{5} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-1/30*(6*e^4*g^2*x^5 + 15*(e^4*f*g + 2*d*e^3*g^2)*x^4 + 10*(e^4*f^2 + 8*d*e^3*f*g + 7*d^2*e^2*g^2)*x^3 + 30*(2*d*e^3*f^2 + 7*d^2*e^2*f*g + 4*d^3*e*g^2)*x^2 + 30*(7*d^2*e^2*f^2 + 16*d^3*e*f*g + 8*d^4*g^2)*x)/e^2 - 8*(d^3*e^2*f^2 + 2*d^4*e*f*g + d^5*g^2)*log(e*x - d)/e^3","A",0
549,1,138,0,0.445996," ","integrate((e*x+d)^3*(g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\frac{3 \, e^{3} g^{2} x^{4} + 4 \, {\left(2 \, e^{3} f g + 3 \, d e^{2} g^{2}\right)} x^{3} + 6 \, {\left(e^{3} f^{2} + 6 \, d e^{2} f g + 4 \, d^{2} e g^{2}\right)} x^{2} + 12 \, {\left(3 \, d e^{2} f^{2} + 8 \, d^{2} e f g + 4 \, d^{3} g^{2}\right)} x}{12 \, e^{2}} - \frac{4 \, {\left(d^{2} e^{2} f^{2} + 2 \, d^{3} e f g + d^{4} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-1/12*(3*e^3*g^2*x^4 + 4*(2*e^3*f*g + 3*d*e^2*g^2)*x^3 + 6*(e^3*f^2 + 6*d*e^2*f*g + 4*d^2*e*g^2)*x^2 + 12*(3*d*e^2*f^2 + 8*d^2*e*f*g + 4*d^3*g^2)*x)/e^2 - 4*(d^2*e^2*f^2 + 2*d^3*e*f*g + d^4*g^2)*log(e*x - d)/e^3","A",0
550,1,97,0,0.445054," ","integrate((e*x+d)^2*(g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\frac{e^{2} g^{2} x^{3} + 3 \, {\left(e^{2} f g + d e g^{2}\right)} x^{2} + 3 \, {\left(e^{2} f^{2} + 4 \, d e f g + 2 \, d^{2} g^{2}\right)} x}{3 \, e^{2}} - \frac{2 \, {\left(d e^{2} f^{2} + 2 \, d^{2} e f g + d^{3} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-1/3*(e^2*g^2*x^3 + 3*(e^2*f*g + d*e*g^2)*x^2 + 3*(e^2*f^2 + 4*d*e*f*g + 2*d^2*g^2)*x)/e^2 - 2*(d*e^2*f^2 + 2*d^2*e*f*g + d^3*g^2)*log(e*x - d)/e^3","A",0
551,1,63,0,0.438689," ","integrate((e*x+d)*(g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\frac{e g^{2} x^{2} + 2 \, {\left(2 \, e f g + d g^{2}\right)} x}{2 \, e^{2}} - \frac{{\left(e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-1/2*(e*g^2*x^2 + 2*(2*e*f*g + d*g^2)*x)/e^2 - (e^2*f^2 + 2*d*e*f*g + d^2*g^2)*log(e*x - d)/e^3","A",0
552,1,82,0,0.444988," ","integrate((g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\frac{g^{2} x}{e^{2}} + \frac{{\left(e^{2} f^{2} - 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x + d\right)}{2 \, d e^{3}} - \frac{{\left(e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x - d\right)}{2 \, d e^{3}}"," ",0,"-g^2*x/e^2 + 1/2*(e^2*f^2 - 2*d*e*f*g + d^2*g^2)*log(e*x + d)/(d*e^3) - 1/2*(e^2*f^2 + 2*d*e*f*g + d^2*g^2)*log(e*x - d)/(d*e^3)","A",0
553,1,113,0,0.455850," ","integrate((g*x+f)^2/(e*x+d)/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\frac{e^{2} f^{2} - 2 \, d e f g + d^{2} g^{2}}{2 \, {\left(d e^{4} x + d^{2} e^{3}\right)}} + \frac{{\left(e^{2} f^{2} + 2 \, d e f g - 3 \, d^{2} g^{2}\right)} \log\left(e x + d\right)}{4 \, d^{2} e^{3}} - \frac{{\left(e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x - d\right)}{4 \, d^{2} e^{3}}"," ",0,"-1/2*(e^2*f^2 - 2*d*e*f*g + d^2*g^2)/(d*e^4*x + d^2*e^3) + 1/4*(e^2*f^2 + 2*d*e*f*g - 3*d^2*g^2)*log(e*x + d)/(d^2*e^3) - 1/4*(e^2*f^2 + 2*d*e*f*g + d^2*g^2)*log(e*x - d)/(d^2*e^3)","A",0
554,1,149,0,0.450464," ","integrate((g*x+f)^2/(e*x+d)^2/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\frac{2 \, d e^{2} f^{2} - 2 \, d^{3} g^{2} + {\left(e^{3} f^{2} + 2 \, d e^{2} f g - 3 \, d^{2} e g^{2}\right)} x}{4 \, {\left(d^{2} e^{5} x^{2} + 2 \, d^{3} e^{4} x + d^{4} e^{3}\right)}} + \frac{{\left(e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x + d\right)}{8 \, d^{3} e^{3}} - \frac{{\left(e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x - d\right)}{8 \, d^{3} e^{3}}"," ",0,"-1/4*(2*d*e^2*f^2 - 2*d^3*g^2 + (e^3*f^2 + 2*d*e^2*f*g - 3*d^2*e*g^2)*x)/(d^2*e^5*x^2 + 2*d^3*e^4*x + d^4*e^3) + 1/8*(e^2*f^2 + 2*d*e*f*g + d^2*g^2)*log(e*x + d)/(d^3*e^3) - 1/8*(e^2*f^2 + 2*d*e*f*g + d^2*g^2)*log(e*x - d)/(d^3*e^3)","A",0
555,1,206,0,0.478262," ","integrate((g*x+f)^2/(e*x+d)^3/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\frac{10 \, d^{2} e^{2} f^{2} + 4 \, d^{3} e f g - 2 \, d^{4} g^{2} + 3 \, {\left(e^{4} f^{2} + 2 \, d e^{3} f g + d^{2} e^{2} g^{2}\right)} x^{2} + 3 \, {\left(3 \, d e^{3} f^{2} + 6 \, d^{2} e^{2} f g - d^{3} e g^{2}\right)} x}{24 \, {\left(d^{3} e^{6} x^{3} + 3 \, d^{4} e^{5} x^{2} + 3 \, d^{5} e^{4} x + d^{6} e^{3}\right)}} + \frac{{\left(e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x + d\right)}{16 \, d^{4} e^{3}} - \frac{{\left(e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x - d\right)}{16 \, d^{4} e^{3}}"," ",0,"-1/24*(10*d^2*e^2*f^2 + 4*d^3*e*f*g - 2*d^4*g^2 + 3*(e^4*f^2 + 2*d*e^3*f*g + d^2*e^2*g^2)*x^2 + 3*(3*d*e^3*f^2 + 6*d^2*e^2*f*g - d^3*e*g^2)*x)/(d^3*e^6*x^3 + 3*d^4*e^5*x^2 + 3*d^5*e^4*x + d^6*e^3) + 1/16*(e^2*f^2 + 2*d*e*f*g + d^2*g^2)*log(e*x + d)/(d^4*e^3) - 1/16*(e^2*f^2 + 2*d*e*f*g + d^2*g^2)*log(e*x - d)/(d^4*e^3)","A",0
556,1,236,0,0.493624," ","integrate((g*x+f)^2/(e*x+d)^4/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\frac{16 \, d^{3} e f^{2} + 8 \, d^{4} f g + 3 \, {\left(e^{4} f^{2} + 2 \, d e^{3} f g + d^{2} e^{2} g^{2}\right)} x^{3} + 12 \, {\left(d e^{3} f^{2} + 2 \, d^{2} e^{2} f g + d^{3} e g^{2}\right)} x^{2} + {\left(19 \, d^{2} e^{2} f^{2} + 38 \, d^{3} e f g + 3 \, d^{4} g^{2}\right)} x}{48 \, {\left(d^{4} e^{6} x^{4} + 4 \, d^{5} e^{5} x^{3} + 6 \, d^{6} e^{4} x^{2} + 4 \, d^{7} e^{3} x + d^{8} e^{2}\right)}} + \frac{{\left(e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x + d\right)}{32 \, d^{5} e^{3}} - \frac{{\left(e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x - d\right)}{32 \, d^{5} e^{3}}"," ",0,"-1/48*(16*d^3*e*f^2 + 8*d^4*f*g + 3*(e^4*f^2 + 2*d*e^3*f*g + d^2*e^2*g^2)*x^3 + 12*(d*e^3*f^2 + 2*d^2*e^2*f*g + d^3*e*g^2)*x^2 + (19*d^2*e^2*f^2 + 38*d^3*e*f*g + 3*d^4*g^2)*x)/(d^4*e^6*x^4 + 4*d^5*e^5*x^3 + 6*d^6*e^4*x^2 + 4*d^7*e^3*x + d^8*e^2) + 1/32*(e^2*f^2 + 2*d*e*f*g + d^2*g^2)*log(e*x + d)/(d^5*e^3) - 1/32*(e^2*f^2 + 2*d*e*f*g + d^2*g^2)*log(e*x - d)/(d^5*e^3)","A",0
557,1,258,0,0.453487," ","integrate((e*x+d)^7*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","-\frac{32 \, {\left(d^{5} e^{2} f^{2} + 2 \, d^{6} e f g + d^{7} g^{2}\right)}}{e^{4} x - d e^{3}} + \frac{10 \, e^{5} g^{2} x^{6} + 12 \, {\left(2 \, e^{5} f g + 7 \, d e^{4} g^{2}\right)} x^{5} + 15 \, {\left(e^{5} f^{2} + 14 \, d e^{4} f g + 23 \, d^{2} e^{3} g^{2}\right)} x^{4} + 20 \, {\left(7 \, d e^{4} f^{2} + 46 \, d^{2} e^{3} f g + 49 \, d^{3} e^{2} g^{2}\right)} x^{3} + 30 \, {\left(23 \, d^{2} e^{3} f^{2} + 98 \, d^{3} e^{2} f g + 80 \, d^{4} e g^{2}\right)} x^{2} + 60 \, {\left(49 \, d^{3} e^{2} f^{2} + 160 \, d^{4} e f g + 112 \, d^{5} g^{2}\right)} x}{60 \, e^{2}} + \frac{16 \, {\left(5 \, d^{4} e^{2} f^{2} + 14 \, d^{5} e f g + 9 \, d^{6} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-32*(d^5*e^2*f^2 + 2*d^6*e*f*g + d^7*g^2)/(e^4*x - d*e^3) + 1/60*(10*e^5*g^2*x^6 + 12*(2*e^5*f*g + 7*d*e^4*g^2)*x^5 + 15*(e^5*f^2 + 14*d*e^4*f*g + 23*d^2*e^3*g^2)*x^4 + 20*(7*d*e^4*f^2 + 46*d^2*e^3*f*g + 49*d^3*e^2*g^2)*x^3 + 30*(23*d^2*e^3*f^2 + 98*d^3*e^2*f*g + 80*d^4*e*g^2)*x^2 + 60*(49*d^3*e^2*f^2 + 160*d^4*e*f*g + 112*d^5*g^2)*x)/e^2 + 16*(5*d^4*e^2*f^2 + 14*d^5*e*f*g + 9*d^6*g^2)*log(e*x - d)/e^3","A",0
558,1,218,0,0.448326," ","integrate((e*x+d)^6*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","-\frac{16 \, {\left(d^{4} e^{2} f^{2} + 2 \, d^{5} e f g + d^{6} g^{2}\right)}}{e^{4} x - d e^{3}} + \frac{6 \, e^{4} g^{2} x^{5} + 15 \, {\left(e^{4} f g + 3 \, d e^{3} g^{2}\right)} x^{4} + 10 \, {\left(e^{4} f^{2} + 12 \, d e^{3} f g + 17 \, d^{2} e^{2} g^{2}\right)} x^{3} + 30 \, {\left(3 \, d e^{3} f^{2} + 17 \, d^{2} e^{2} f g + 16 \, d^{3} e g^{2}\right)} x^{2} + 30 \, {\left(17 \, d^{2} e^{2} f^{2} + 64 \, d^{3} e f g + 48 \, d^{4} g^{2}\right)} x}{30 \, e^{2}} + \frac{32 \, {\left(d^{3} e^{2} f^{2} + 3 \, d^{4} e f g + 2 \, d^{5} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-16*(d^4*e^2*f^2 + 2*d^5*e*f*g + d^6*g^2)/(e^4*x - d*e^3) + 1/30*(6*e^4*g^2*x^5 + 15*(e^4*f*g + 3*d*e^3*g^2)*x^4 + 10*(e^4*f^2 + 12*d*e^3*f*g + 17*d^2*e^2*g^2)*x^3 + 30*(3*d*e^3*f^2 + 17*d^2*e^2*f*g + 16*d^3*e*g^2)*x^2 + 30*(17*d^2*e^2*f^2 + 64*d^3*e*f*g + 48*d^4*g^2)*x)/e^2 + 32*(d^3*e^2*f^2 + 3*d^4*e*f*g + 2*d^5*g^2)*log(e*x - d)/e^3","A",0
559,1,182,0,0.460094," ","integrate((e*x+d)^5*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","-\frac{8 \, {\left(d^{3} e^{2} f^{2} + 2 \, d^{4} e f g + d^{5} g^{2}\right)}}{e^{4} x - d e^{3}} + \frac{3 \, e^{3} g^{2} x^{4} + 4 \, {\left(2 \, e^{3} f g + 5 \, d e^{2} g^{2}\right)} x^{3} + 6 \, {\left(e^{3} f^{2} + 10 \, d e^{2} f g + 12 \, d^{2} e g^{2}\right)} x^{2} + 12 \, {\left(5 \, d e^{2} f^{2} + 24 \, d^{2} e f g + 20 \, d^{3} g^{2}\right)} x}{12 \, e^{2}} + \frac{4 \, {\left(3 \, d^{2} e^{2} f^{2} + 10 \, d^{3} e f g + 7 \, d^{4} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-8*(d^3*e^2*f^2 + 2*d^4*e*f*g + d^5*g^2)/(e^4*x - d*e^3) + 1/12*(3*e^3*g^2*x^4 + 4*(2*e^3*f*g + 5*d*e^2*g^2)*x^3 + 6*(e^3*f^2 + 10*d*e^2*f*g + 12*d^2*e*g^2)*x^2 + 12*(5*d*e^2*f^2 + 24*d^2*e*f*g + 20*d^3*g^2)*x)/e^2 + 4*(3*d^2*e^2*f^2 + 10*d^3*e*f*g + 7*d^4*g^2)*log(e*x - d)/e^3","A",0
560,1,141,0,0.449955," ","integrate((e*x+d)^4*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","-\frac{4 \, {\left(d^{2} e^{2} f^{2} + 2 \, d^{3} e f g + d^{4} g^{2}\right)}}{e^{4} x - d e^{3}} + \frac{e^{2} g^{2} x^{3} + 3 \, {\left(e^{2} f g + 2 \, d e g^{2}\right)} x^{2} + 3 \, {\left(e^{2} f^{2} + 8 \, d e f g + 8 \, d^{2} g^{2}\right)} x}{3 \, e^{2}} + \frac{4 \, {\left(d e^{2} f^{2} + 4 \, d^{2} e f g + 3 \, d^{3} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-4*(d^2*e^2*f^2 + 2*d^3*e*f*g + d^4*g^2)/(e^4*x - d*e^3) + 1/3*(e^2*g^2*x^3 + 3*(e^2*f*g + 2*d*e*g^2)*x^2 + 3*(e^2*f^2 + 8*d*e*f*g + 8*d^2*g^2)*x)/e^2 + 4*(d*e^2*f^2 + 4*d^2*e*f*g + 3*d^3*g^2)*log(e*x - d)/e^3","A",0
561,1,104,0,0.442332," ","integrate((e*x+d)^3*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(d e^{2} f^{2} + 2 \, d^{2} e f g + d^{3} g^{2}\right)}}{e^{4} x - d e^{3}} + \frac{e g^{2} x^{2} + 2 \, {\left(2 \, e f g + 3 \, d g^{2}\right)} x}{2 \, e^{2}} + \frac{{\left(e^{2} f^{2} + 6 \, d e f g + 5 \, d^{2} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-2*(d*e^2*f^2 + 2*d^2*e*f*g + d^3*g^2)/(e^4*x - d*e^3) + 1/2*(e*g^2*x^2 + 2*(2*e*f*g + 3*d*g^2)*x)/e^2 + (e^2*f^2 + 6*d*e*f*g + 5*d^2*g^2)*log(e*x - d)/e^3","A",0
562,1,69,0,0.438911," ","integrate((e*x+d)^2*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","\frac{g^{2} x}{e^{2}} - \frac{e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}}{e^{4} x - d e^{3}} + \frac{2 \, {\left(e f g + d g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"g^2*x/e^2 - (e^2*f^2 + 2*d*e*f*g + d^2*g^2)/(e^4*x - d*e^3) + 2*(e*f*g + d*g^2)*log(e*x - d)/e^3","A",0
563,1,114,0,0.453117," ","integrate((e*x+d)*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","-\frac{e^{2} f^{2} + 2 \, d e f g + d^{2} g^{2}}{2 \, {\left(d e^{4} x - d^{2} e^{3}\right)}} + \frac{{\left(e^{2} f^{2} - 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x + d\right)}{4 \, d^{2} e^{3}} - \frac{{\left(e^{2} f^{2} - 2 \, d e f g - 3 \, d^{2} g^{2}\right)} \log\left(e x - d\right)}{4 \, d^{2} e^{3}}"," ",0,"-1/2*(e^2*f^2 + 2*d*e*f*g + d^2*g^2)/(d*e^4*x - d^2*e^3) + 1/4*(e^2*f^2 - 2*d*e*f*g + d^2*g^2)*log(e*x + d)/(d^2*e^3) - 1/4*(e^2*f^2 - 2*d*e*f*g - 3*d^2*g^2)*log(e*x - d)/(d^2*e^3)","A",0
564,1,111,0,0.438875," ","integrate((g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","-\frac{2 \, d^{2} f g + {\left(e^{2} f^{2} + d^{2} g^{2}\right)} x}{2 \, {\left(d^{2} e^{4} x^{2} - d^{4} e^{2}\right)}} + \frac{{\left(e^{2} f^{2} - d^{2} g^{2}\right)} \log\left(e x + d\right)}{4 \, d^{3} e^{3}} - \frac{{\left(e^{2} f^{2} - d^{2} g^{2}\right)} \log\left(e x - d\right)}{4 \, d^{3} e^{3}}"," ",0,"-1/2*(2*d^2*f*g + (e^2*f^2 + d^2*g^2)*x)/(d^2*e^4*x^2 - d^4*e^2) + 1/4*(e^2*f^2 - d^2*g^2)*log(e*x + d)/(d^3*e^3) - 1/4*(e^2*f^2 - d^2*g^2)*log(e*x - d)/(d^3*e^3)","A",0
565,1,212,0,0.466495," ","integrate((g*x+f)^2/(e*x+d)/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","\frac{2 \, d^{2} e^{2} f^{2} - 4 \, d^{3} e f g - 2 \, d^{4} g^{2} - {\left(3 \, e^{4} f^{2} + 2 \, d e^{3} f g - d^{2} e^{2} g^{2}\right)} x^{2} - {\left(3 \, d e^{3} f^{2} + 2 \, d^{2} e^{2} f g + 3 \, d^{3} e g^{2}\right)} x}{8 \, {\left(d^{3} e^{6} x^{3} + d^{4} e^{5} x^{2} - d^{5} e^{4} x - d^{6} e^{3}\right)}} + \frac{{\left(3 \, e^{2} f^{2} + 2 \, d e f g - d^{2} g^{2}\right)} \log\left(e x + d\right)}{16 \, d^{4} e^{3}} - \frac{{\left(3 \, e^{2} f^{2} + 2 \, d e f g - d^{2} g^{2}\right)} \log\left(e x - d\right)}{16 \, d^{4} e^{3}}"," ",0,"1/8*(2*d^2*e^2*f^2 - 4*d^3*e*f*g - 2*d^4*g^2 - (3*e^4*f^2 + 2*d*e^3*f*g - d^2*e^2*g^2)*x^2 - (3*d*e^3*f^2 + 2*d^2*e^2*f*g + 3*d^3*e*g^2)*x)/(d^3*e^6*x^3 + d^4*e^5*x^2 - d^5*e^4*x - d^6*e^3) + 1/16*(3*e^2*f^2 + 2*d*e*f*g - d^2*g^2)*log(e*x + d)/(d^4*e^3) - 1/16*(3*e^2*f^2 + 2*d*e*f*g - d^2*g^2)*log(e*x - d)/(d^4*e^3)","A",0
566,1,197,0,0.478916," ","integrate((g*x+f)^2/(e*x+d)^2/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","\frac{4 \, d^{3} e^{2} f^{2} - 2 \, d^{4} e f g - 2 \, d^{5} g^{2} - 3 \, {\left(e^{5} f^{2} + d e^{4} f g\right)} x^{3} - 6 \, {\left(d e^{4} f^{2} + d^{2} e^{3} f g\right)} x^{2} - {\left(d^{2} e^{3} f^{2} + d^{3} e^{2} f g + 4 \, d^{4} e g^{2}\right)} x}{12 \, {\left(d^{4} e^{7} x^{4} + 2 \, d^{5} e^{6} x^{3} - 2 \, d^{7} e^{4} x - d^{8} e^{3}\right)}} + \frac{{\left(e f^{2} + d f g\right)} \log\left(e x + d\right)}{8 \, d^{5} e^{2}} - \frac{{\left(e f^{2} + d f g\right)} \log\left(e x - d\right)}{8 \, d^{5} e^{2}}"," ",0,"1/12*(4*d^3*e^2*f^2 - 2*d^4*e*f*g - 2*d^5*g^2 - 3*(e^5*f^2 + d*e^4*f*g)*x^3 - 6*(d*e^4*f^2 + d^2*e^3*f*g)*x^2 - (d^2*e^3*f^2 + d^3*e^2*f*g + 4*d^4*e*g^2)*x)/(d^4*e^7*x^4 + 2*d^5*e^6*x^3 - 2*d^7*e^4*x - d^8*e^3) + 1/8*(e*f^2 + d*f*g)*log(e*x + d)/(d^5*e^2) - 1/8*(e*f^2 + d*f*g)*log(e*x - d)/(d^5*e^2)","A",0
567,1,298,0,0.504145," ","integrate((g*x+f)^2/(e*x+d)^3/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","\frac{32 \, d^{4} e^{2} f^{2} - 8 \, d^{6} g^{2} - 3 \, {\left(5 \, e^{6} f^{2} + 6 \, d e^{5} f g + d^{2} e^{4} g^{2}\right)} x^{4} - 9 \, {\left(5 \, d e^{5} f^{2} + 6 \, d^{2} e^{4} f g + d^{3} e^{3} g^{2}\right)} x^{3} - 7 \, {\left(5 \, d^{2} e^{4} f^{2} + 6 \, d^{3} e^{3} f g + d^{4} e^{2} g^{2}\right)} x^{2} + 3 \, {\left(5 \, d^{3} e^{3} f^{2} + 6 \, d^{4} e^{2} f g - 7 \, d^{5} e g^{2}\right)} x}{96 \, {\left(d^{5} e^{8} x^{5} + 3 \, d^{6} e^{7} x^{4} + 2 \, d^{7} e^{6} x^{3} - 2 \, d^{8} e^{5} x^{2} - 3 \, d^{9} e^{4} x - d^{10} e^{3}\right)}} + \frac{{\left(5 \, e^{2} f^{2} + 6 \, d e f g + d^{2} g^{2}\right)} \log\left(e x + d\right)}{64 \, d^{6} e^{3}} - \frac{{\left(5 \, e^{2} f^{2} + 6 \, d e f g + d^{2} g^{2}\right)} \log\left(e x - d\right)}{64 \, d^{6} e^{3}}"," ",0,"1/96*(32*d^4*e^2*f^2 - 8*d^6*g^2 - 3*(5*e^6*f^2 + 6*d*e^5*f*g + d^2*e^4*g^2)*x^4 - 9*(5*d*e^5*f^2 + 6*d^2*e^4*f*g + d^3*e^3*g^2)*x^3 - 7*(5*d^2*e^4*f^2 + 6*d^3*e^3*f*g + d^4*e^2*g^2)*x^2 + 3*(5*d^3*e^3*f^2 + 6*d^4*e^2*f*g - 7*d^5*e*g^2)*x)/(d^5*e^8*x^5 + 3*d^6*e^7*x^4 + 2*d^7*e^6*x^3 - 2*d^8*e^5*x^2 - 3*d^9*e^4*x - d^10*e^3) + 1/64*(5*e^2*f^2 + 6*d*e*f*g + d^2*g^2)*log(e*x + d)/(d^6*e^3) - 1/64*(5*e^2*f^2 + 6*d*e*f*g + d^2*g^2)*log(e*x - d)/(d^6*e^3)","A",0
568,1,342,0,0.533603," ","integrate((g*x+f)^2/(e*x+d)^4/(-e^2*x^2+d^2)^2,x, algorithm=""maxima"")","\frac{144 \, d^{5} e^{2} f^{2} + 32 \, d^{6} e f g - 16 \, d^{7} g^{2} - 15 \, {\left(3 \, e^{7} f^{2} + 4 \, d e^{6} f g + d^{2} e^{5} g^{2}\right)} x^{5} - 60 \, {\left(3 \, d e^{6} f^{2} + 4 \, d^{2} e^{5} f g + d^{3} e^{4} g^{2}\right)} x^{4} - 80 \, {\left(3 \, d^{2} e^{5} f^{2} + 4 \, d^{3} e^{4} f g + d^{4} e^{3} g^{2}\right)} x^{3} - 20 \, {\left(3 \, d^{3} e^{4} f^{2} + 4 \, d^{4} e^{3} f g + d^{5} e^{2} g^{2}\right)} x^{2} + {\left(141 \, d^{4} e^{3} f^{2} + 188 \, d^{5} e^{2} f g - 49 \, d^{6} e g^{2}\right)} x}{480 \, {\left(d^{6} e^{9} x^{6} + 4 \, d^{7} e^{8} x^{5} + 5 \, d^{8} e^{7} x^{4} - 5 \, d^{10} e^{5} x^{2} - 4 \, d^{11} e^{4} x - d^{12} e^{3}\right)}} + \frac{{\left(3 \, e^{2} f^{2} + 4 \, d e f g + d^{2} g^{2}\right)} \log\left(e x + d\right)}{64 \, d^{7} e^{3}} - \frac{{\left(3 \, e^{2} f^{2} + 4 \, d e f g + d^{2} g^{2}\right)} \log\left(e x - d\right)}{64 \, d^{7} e^{3}}"," ",0,"1/480*(144*d^5*e^2*f^2 + 32*d^6*e*f*g - 16*d^7*g^2 - 15*(3*e^7*f^2 + 4*d*e^6*f*g + d^2*e^5*g^2)*x^5 - 60*(3*d*e^6*f^2 + 4*d^2*e^5*f*g + d^3*e^4*g^2)*x^4 - 80*(3*d^2*e^5*f^2 + 4*d^3*e^4*f*g + d^4*e^3*g^2)*x^3 - 20*(3*d^3*e^4*f^2 + 4*d^4*e^3*f*g + d^5*e^2*g^2)*x^2 + (141*d^4*e^3*f^2 + 188*d^5*e^2*f*g - 49*d^6*e*g^2)*x)/(d^6*e^9*x^6 + 4*d^7*e^8*x^5 + 5*d^8*e^7*x^4 - 5*d^10*e^5*x^2 - 4*d^11*e^4*x - d^12*e^3) + 1/64*(3*e^2*f^2 + 4*d*e*f*g + d^2*g^2)*log(e*x + d)/(d^7*e^3) - 1/64*(3*e^2*f^2 + 4*d*e*f*g + d^2*g^2)*log(e*x - d)/(d^7*e^3)","A",0
569,1,227,0,0.467778," ","integrate((e*x+d)^7*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","-\frac{8 \, {\left(3 \, d^{4} e^{2} f^{2} + 10 \, d^{5} e f g + 7 \, d^{6} g^{2} - 4 \, {\left(d^{3} e^{3} f^{2} + 3 \, d^{4} e^{2} f g + 2 \, d^{5} e g^{2}\right)} x\right)}}{e^{5} x^{2} - 2 \, d e^{4} x + d^{2} e^{3}} - \frac{3 \, e^{3} g^{2} x^{4} + 4 \, {\left(2 \, e^{3} f g + 7 \, d e^{2} g^{2}\right)} x^{3} + 6 \, {\left(e^{3} f^{2} + 14 \, d e^{2} f g + 24 \, d^{2} e g^{2}\right)} x^{2} + 12 \, {\left(7 \, d e^{2} f^{2} + 48 \, d^{2} e f g + 56 \, d^{3} g^{2}\right)} x}{12 \, e^{2}} - \frac{8 \, {\left(3 \, d^{2} e^{2} f^{2} + 14 \, d^{3} e f g + 13 \, d^{4} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-8*(3*d^4*e^2*f^2 + 10*d^5*e*f*g + 7*d^6*g^2 - 4*(d^3*e^3*f^2 + 3*d^4*e^2*f*g + 2*d^5*e*g^2)*x)/(e^5*x^2 - 2*d*e^4*x + d^2*e^3) - 1/12*(3*e^3*g^2*x^4 + 4*(2*e^3*f*g + 7*d*e^2*g^2)*x^3 + 6*(e^3*f^2 + 14*d*e^2*f*g + 24*d^2*e*g^2)*x^2 + 12*(7*d*e^2*f^2 + 48*d^2*e*f*g + 56*d^3*g^2)*x)/e^2 - 8*(3*d^2*e^2*f^2 + 14*d^3*e*f*g + 13*d^4*g^2)*log(e*x - d)/e^3","A",0
570,1,188,0,0.460106," ","integrate((e*x+d)^6*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","-\frac{4 \, {\left(2 \, d^{3} e^{2} f^{2} + 8 \, d^{4} e f g + 6 \, d^{5} g^{2} - {\left(3 \, d^{2} e^{3} f^{2} + 10 \, d^{3} e^{2} f g + 7 \, d^{4} e g^{2}\right)} x\right)}}{e^{5} x^{2} - 2 \, d e^{4} x + d^{2} e^{3}} - \frac{e^{2} g^{2} x^{3} + 3 \, {\left(e^{2} f g + 3 \, d e g^{2}\right)} x^{2} + 3 \, {\left(e^{2} f^{2} + 12 \, d e f g + 18 \, d^{2} g^{2}\right)} x}{3 \, e^{2}} - \frac{2 \, {\left(3 \, d e^{2} f^{2} + 18 \, d^{2} e f g + 19 \, d^{3} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-4*(2*d^3*e^2*f^2 + 8*d^4*e*f*g + 6*d^5*g^2 - (3*d^2*e^3*f^2 + 10*d^3*e^2*f*g + 7*d^4*e*g^2)*x)/(e^5*x^2 - 2*d*e^4*x + d^2*e^3) - 1/3*(e^2*g^2*x^3 + 3*(e^2*f*g + 3*d*e*g^2)*x^2 + 3*(e^2*f^2 + 12*d*e*f*g + 18*d^2*g^2)*x)/e^2 - 2*(3*d*e^2*f^2 + 18*d^2*e*f*g + 19*d^3*g^2)*log(e*x - d)/e^3","A",0
571,1,149,0,0.457467," ","integrate((e*x+d)^5*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(d^{2} e^{2} f^{2} + 6 \, d^{3} e f g + 5 \, d^{4} g^{2} - 2 \, {\left(d e^{3} f^{2} + 4 \, d^{2} e^{2} f g + 3 \, d^{3} e g^{2}\right)} x\right)}}{e^{5} x^{2} - 2 \, d e^{4} x + d^{2} e^{3}} - \frac{e g^{2} x^{2} + 2 \, {\left(2 \, e f g + 5 \, d g^{2}\right)} x}{2 \, e^{2}} - \frac{{\left(e^{2} f^{2} + 10 \, d e f g + 13 \, d^{2} g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-2*(d^2*e^2*f^2 + 6*d^3*e*f*g + 5*d^4*g^2 - 2*(d*e^3*f^2 + 4*d^2*e^2*f*g + 3*d^3*e*g^2)*x)/(e^5*x^2 - 2*d*e^4*x + d^2*e^3) - 1/2*(e*g^2*x^2 + 2*(2*e*f*g + 5*d*g^2)*x)/e^2 - (e^2*f^2 + 10*d*e*f*g + 13*d^2*g^2)*log(e*x - d)/e^3","A",0
572,1,105,0,0.451475," ","integrate((e*x+d)^4*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","-\frac{g^{2} x}{e^{2}} - \frac{4 \, d^{2} e f g + 4 \, d^{3} g^{2} - {\left(e^{3} f^{2} + 6 \, d e^{2} f g + 5 \, d^{2} e g^{2}\right)} x}{e^{5} x^{2} - 2 \, d e^{4} x + d^{2} e^{3}} - \frac{2 \, {\left(e f g + 2 \, d g^{2}\right)} \log\left(e x - d\right)}{e^{3}}"," ",0,"-g^2*x/e^2 - (4*d^2*e*f*g + 4*d^3*g^2 - (e^3*f^2 + 6*d*e^2*f*g + 5*d^2*e*g^2)*x)/(e^5*x^2 - 2*d*e^4*x + d^2*e^3) - 2*(e*f*g + 2*d*g^2)*log(e*x - d)/e^3","A",0
573,1,81,0,0.443201," ","integrate((e*x+d)^3*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","\frac{e^{2} f^{2} - 2 \, d e f g - 3 \, d^{2} g^{2} + 4 \, {\left(e^{2} f g + d e g^{2}\right)} x}{2 \, {\left(e^{5} x^{2} - 2 \, d e^{4} x + d^{2} e^{3}\right)}} - \frac{g^{2} \log\left(e x - d\right)}{e^{3}}"," ",0,"1/2*(e^2*f^2 - 2*d*e*f*g - 3*d^2*g^2 + 4*(e^2*f*g + d*e*g^2)*x)/(e^5*x^2 - 2*d*e^4*x + d^2*e^3) - g^2*log(e*x - d)/e^3","A",0
574,1,150,0,0.462823," ","integrate((e*x+d)^2*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","\frac{2 \, d e^{2} f^{2} - 2 \, d^{3} g^{2} - {\left(e^{3} f^{2} - 2 \, d e^{2} f g - 3 \, d^{2} e g^{2}\right)} x}{4 \, {\left(d^{2} e^{5} x^{2} - 2 \, d^{3} e^{4} x + d^{4} e^{3}\right)}} + \frac{{\left(e^{2} f^{2} - 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x + d\right)}{8 \, d^{3} e^{3}} - \frac{{\left(e^{2} f^{2} - 2 \, d e f g + d^{2} g^{2}\right)} \log\left(e x - d\right)}{8 \, d^{3} e^{3}}"," ",0,"1/4*(2*d*e^2*f^2 - 2*d^3*g^2 - (e^3*f^2 - 2*d*e^2*f*g - 3*d^2*e*g^2)*x)/(d^2*e^5*x^2 - 2*d^3*e^4*x + d^4*e^3) + 1/8*(e^2*f^2 - 2*d*e*f*g + d^2*g^2)*log(e*x + d)/(d^3*e^3) - 1/8*(e^2*f^2 - 2*d*e*f*g + d^2*g^2)*log(e*x - d)/(d^3*e^3)","A",0
575,1,211,0,0.470872," ","integrate((e*x+d)*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","\frac{2 \, d^{2} e^{2} f^{2} + 4 \, d^{3} e f g - 2 \, d^{4} g^{2} - {\left(3 \, e^{4} f^{2} - 2 \, d e^{3} f g - d^{2} e^{2} g^{2}\right)} x^{2} + {\left(3 \, d e^{3} f^{2} - 2 \, d^{2} e^{2} f g + 3 \, d^{3} e g^{2}\right)} x}{8 \, {\left(d^{3} e^{6} x^{3} - d^{4} e^{5} x^{2} - d^{5} e^{4} x + d^{6} e^{3}\right)}} + \frac{{\left(3 \, e^{2} f^{2} - 2 \, d e f g - d^{2} g^{2}\right)} \log\left(e x + d\right)}{16 \, d^{4} e^{3}} - \frac{{\left(3 \, e^{2} f^{2} - 2 \, d e f g - d^{2} g^{2}\right)} \log\left(e x - d\right)}{16 \, d^{4} e^{3}}"," ",0,"1/8*(2*d^2*e^2*f^2 + 4*d^3*e*f*g - 2*d^4*g^2 - (3*e^4*f^2 - 2*d*e^3*f*g - d^2*e^2*g^2)*x^2 + (3*d*e^3*f^2 - 2*d^2*e^2*f*g + 3*d^3*e*g^2)*x)/(d^3*e^6*x^3 - d^4*e^5*x^2 - d^5*e^4*x + d^6*e^3) + 1/16*(3*e^2*f^2 - 2*d*e*f*g - d^2*g^2)*log(e*x + d)/(d^4*e^3) - 1/16*(3*e^2*f^2 - 2*d*e*f*g - d^2*g^2)*log(e*x - d)/(d^4*e^3)","A",0
576,1,152,0,0.448833," ","integrate((g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","\frac{4 \, d^{4} f g - {\left(3 \, e^{4} f^{2} - d^{2} e^{2} g^{2}\right)} x^{3} + {\left(5 \, d^{2} e^{2} f^{2} + d^{4} g^{2}\right)} x}{8 \, {\left(d^{4} e^{6} x^{4} - 2 \, d^{6} e^{4} x^{2} + d^{8} e^{2}\right)}} + \frac{{\left(3 \, e^{2} f^{2} - d^{2} g^{2}\right)} \log\left(e x + d\right)}{16 \, d^{5} e^{3}} - \frac{{\left(3 \, e^{2} f^{2} - d^{2} g^{2}\right)} \log\left(e x - d\right)}{16 \, d^{5} e^{3}}"," ",0,"1/8*(4*d^4*f*g - (3*e^4*f^2 - d^2*e^2*g^2)*x^3 + (5*d^2*e^2*f^2 + d^4*g^2)*x)/(d^4*e^6*x^4 - 2*d^6*e^4*x^2 + d^8*e^2) + 1/16*(3*e^2*f^2 - d^2*g^2)*log(e*x + d)/(d^5*e^3) - 1/16*(3*e^2*f^2 - d^2*g^2)*log(e*x - d)/(d^5*e^3)","A",0
577,1,308,0,0.497190," ","integrate((g*x+f)^2/(e*x+d)/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","-\frac{8 \, d^{4} e^{2} f^{2} - 16 \, d^{5} e f g - 4 \, d^{6} g^{2} + 3 \, {\left(5 \, e^{6} f^{2} + 2 \, d e^{5} f g - d^{2} e^{4} g^{2}\right)} x^{4} + 3 \, {\left(5 \, d e^{5} f^{2} + 2 \, d^{2} e^{4} f g - d^{3} e^{3} g^{2}\right)} x^{3} - 5 \, {\left(5 \, d^{2} e^{4} f^{2} + 2 \, d^{3} e^{3} f g - d^{4} e^{2} g^{2}\right)} x^{2} - {\left(25 \, d^{3} e^{3} f^{2} + 10 \, d^{4} e^{2} f g + 7 \, d^{5} e g^{2}\right)} x}{48 \, {\left(d^{5} e^{8} x^{5} + d^{6} e^{7} x^{4} - 2 \, d^{7} e^{6} x^{3} - 2 \, d^{8} e^{5} x^{2} + d^{9} e^{4} x + d^{10} e^{3}\right)}} + \frac{{\left(5 \, e^{2} f^{2} + 2 \, d e f g - d^{2} g^{2}\right)} \log\left(e x + d\right)}{32 \, d^{6} e^{3}} - \frac{{\left(5 \, e^{2} f^{2} + 2 \, d e f g - d^{2} g^{2}\right)} \log\left(e x - d\right)}{32 \, d^{6} e^{3}}"," ",0,"-1/48*(8*d^4*e^2*f^2 - 16*d^5*e*f*g - 4*d^6*g^2 + 3*(5*e^6*f^2 + 2*d*e^5*f*g - d^2*e^4*g^2)*x^4 + 3*(5*d*e^5*f^2 + 2*d^2*e^4*f*g - d^3*e^3*g^2)*x^3 - 5*(5*d^2*e^4*f^2 + 2*d^3*e^3*f*g - d^4*e^2*g^2)*x^2 - (25*d^3*e^3*f^2 + 10*d^4*e^2*f*g + 7*d^5*e*g^2)*x)/(d^5*e^8*x^5 + d^6*e^7*x^4 - 2*d^7*e^6*x^3 - 2*d^8*e^5*x^2 + d^9*e^4*x + d^10*e^3) + 1/32*(5*e^2*f^2 + 2*d*e*f*g - d^2*g^2)*log(e*x + d)/(d^6*e^3) - 1/32*(5*e^2*f^2 + 2*d*e*f*g - d^2*g^2)*log(e*x - d)/(d^6*e^3)","A",0
578,1,359,0,0.510341," ","integrate((g*x+f)^2/(e*x+d)^2/(-e^2*x^2+d^2)^3,x, algorithm=""maxima"")","-\frac{48 \, d^{5} e^{2} f^{2} - 32 \, d^{6} e f g - 16 \, d^{7} g^{2} + 3 \, {\left(15 \, e^{7} f^{2} + 10 \, d e^{6} f g - d^{2} e^{5} g^{2}\right)} x^{5} + 6 \, {\left(15 \, d e^{6} f^{2} + 10 \, d^{2} e^{5} f g - d^{3} e^{4} g^{2}\right)} x^{4} - 2 \, {\left(15 \, d^{2} e^{5} f^{2} + 10 \, d^{3} e^{4} f g - d^{4} e^{3} g^{2}\right)} x^{3} - 10 \, {\left(15 \, d^{3} e^{4} f^{2} + 10 \, d^{4} e^{3} f g - d^{5} e^{2} g^{2}\right)} x^{2} - {\left(51 \, d^{4} e^{3} f^{2} + 34 \, d^{5} e^{2} f g + 35 \, d^{6} e g^{2}\right)} x}{192 \, {\left(d^{6} e^{9} x^{6} + 2 \, d^{7} e^{8} x^{5} - d^{8} e^{7} x^{4} - 4 \, d^{9} e^{6} x^{3} - d^{10} e^{5} x^{2} + 2 \, d^{11} e^{4} x + d^{12} e^{3}\right)}} + \frac{{\left(15 \, e^{2} f^{2} + 10 \, d e f g - d^{2} g^{2}\right)} \log\left(e x + d\right)}{128 \, d^{7} e^{3}} - \frac{{\left(15 \, e^{2} f^{2} + 10 \, d e f g - d^{2} g^{2}\right)} \log\left(e x - d\right)}{128 \, d^{7} e^{3}}"," ",0,"-1/192*(48*d^5*e^2*f^2 - 32*d^6*e*f*g - 16*d^7*g^2 + 3*(15*e^7*f^2 + 10*d*e^6*f*g - d^2*e^5*g^2)*x^5 + 6*(15*d*e^6*f^2 + 10*d^2*e^5*f*g - d^3*e^4*g^2)*x^4 - 2*(15*d^2*e^5*f^2 + 10*d^3*e^4*f*g - d^4*e^3*g^2)*x^3 - 10*(15*d^3*e^4*f^2 + 10*d^4*e^3*f*g - d^5*e^2*g^2)*x^2 - (51*d^4*e^3*f^2 + 34*d^5*e^2*f*g + 35*d^6*e*g^2)*x)/(d^6*e^9*x^6 + 2*d^7*e^8*x^5 - d^8*e^7*x^4 - 4*d^9*e^6*x^3 - d^10*e^5*x^2 + 2*d^11*e^4*x + d^12*e^3) + 1/128*(15*e^2*f^2 + 10*d*e*f*g - d^2*g^2)*log(e*x + d)/(d^7*e^3) - 1/128*(15*e^2*f^2 + 10*d*e*f*g - d^2*g^2)*log(e*x - d)/(d^7*e^3)","A",0
579,1,1579,0,1.054062," ","integrate((e*x+d)^3*(g*x+f)^5/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{e g^{5} x^{7}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{7}{30} \, d^{2} e g^{5} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{7 \, d^{2} g^{5} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)}}{6 \, e} + \frac{d f^{5} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{3 \, d^{2} f^{5}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d^{3} f^{4} g}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{4 \, f^{5} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{14 \, d^{4} g^{5} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{5}} + \frac{1}{15} \, {\left(10 \, e^{3} f^{2} g^{3} + 15 \, d e^{2} f g^{4} + 3 \, d^{2} e g^{5}\right)} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} + \frac{8 \, f^{5} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}} - \frac{49 \, d^{2} g^{5} x}{30 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{5}} - \frac{{\left(5 \, e^{3} f g^{4} + 3 \, d e^{2} g^{5}\right)} x^{6}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{7 \, d^{2} g^{5} \arcsin\left(\frac{e x}{d}\right)}{2 \, e^{6}} - \frac{{\left(10 \, e^{3} f^{2} g^{3} + 15 \, d e^{2} f g^{4} + 3 \, d^{2} e g^{5}\right)} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)}}{3 \, e^{2}} + \frac{6 \, {\left(5 \, e^{3} f g^{4} + 3 \, d e^{2} g^{5}\right)} d^{2} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{{\left(10 \, e^{3} f^{3} g^{2} + 30 \, d e^{2} f^{2} g^{3} + 15 \, d^{2} e f g^{4} + d^{3} g^{5}\right)} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{5 \, {\left(e^{3} f^{4} g + 6 \, d e^{2} f^{3} g^{2} + 6 \, d^{2} e f^{2} g^{3} + d^{3} f g^{4}\right)} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{8 \, {\left(5 \, e^{3} f g^{4} + 3 \, d e^{2} g^{5}\right)} d^{4} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}} - \frac{4 \, {\left(10 \, e^{3} f^{3} g^{2} + 30 \, d e^{2} f^{2} g^{3} + 15 \, d^{2} e f g^{4} + d^{3} g^{5}\right)} d^{2} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{{\left(e^{3} f^{5} + 15 \, d e^{2} f^{4} g + 30 \, d^{2} e f^{3} g^{2} + 10 \, d^{3} f^{2} g^{3}\right)} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{3 \, {\left(e^{3} f^{4} g + 6 \, d e^{2} f^{3} g^{2} + 6 \, d^{2} e f^{2} g^{3} + d^{3} f g^{4}\right)} d^{2} x}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{{\left(3 \, d e^{2} f^{5} + 15 \, d^{2} e f^{4} g + 10 \, d^{3} f^{3} g^{2}\right)} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{16 \, {\left(5 \, e^{3} f g^{4} + 3 \, d e^{2} g^{5}\right)} d^{6}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{8}} + \frac{8 \, {\left(10 \, e^{3} f^{3} g^{2} + 30 \, d e^{2} f^{2} g^{3} + 15 \, d^{2} e f g^{4} + d^{3} g^{5}\right)} d^{4}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}} - \frac{2 \, {\left(e^{3} f^{5} + 15 \, d e^{2} f^{4} g + 30 \, d^{2} e f^{3} g^{2} + 10 \, d^{3} f^{2} g^{3}\right)} d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{4 \, {\left(10 \, e^{3} f^{2} g^{3} + 15 \, d e^{2} f g^{4} + 3 \, d^{2} e g^{5}\right)} d^{2} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6}} + \frac{{\left(e^{3} f^{4} g + 6 \, d e^{2} f^{3} g^{2} + 6 \, d^{2} e f^{2} g^{3} + d^{3} f g^{4}\right)} x}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} - \frac{{\left(3 \, d e^{2} f^{5} + 15 \, d^{2} e f^{4} g + 10 \, d^{3} f^{3} g^{2}\right)} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{2}} - \frac{7 \, {\left(10 \, e^{3} f^{2} g^{3} + 15 \, d e^{2} f g^{4} + 3 \, d^{2} e g^{5}\right)} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{6}} + \frac{{\left(e^{3} f^{4} g + 6 \, d e^{2} f^{3} g^{2} + 6 \, d^{2} e f^{2} g^{3} + d^{3} f g^{4}\right)} x}{\sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{4}} - \frac{2 \, {\left(3 \, d e^{2} f^{5} + 15 \, d^{2} e f^{4} g + 10 \, d^{3} f^{3} g^{2}\right)} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e^{2}} - \frac{{\left(10 \, e^{3} f^{2} g^{3} + 15 \, d e^{2} f g^{4} + 3 \, d^{2} e g^{5}\right)} \arcsin\left(\frac{e x}{d}\right)}{e^{7}}"," ",0,"-1/2*e*g^5*x^7/(-e^2*x^2 + d^2)^(5/2) + 7/30*d^2*e*g^5*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - 7/6*d^2*g^5*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4))/e + 1/5*d*f^5*x/(-e^2*x^2 + d^2)^(5/2) + 3/5*d^2*f^5/((-e^2*x^2 + d^2)^(5/2)*e) + d^3*f^4*g/((-e^2*x^2 + d^2)^(5/2)*e^2) + 4/15*f^5*x/((-e^2*x^2 + d^2)^(3/2)*d) + 14/15*d^4*g^5*x/((-e^2*x^2 + d^2)^(3/2)*e^5) + 1/15*(10*e^3*f^2*g^3 + 15*d*e^2*f*g^4 + 3*d^2*e*g^5)*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) + 8/15*f^5*x/(sqrt(-e^2*x^2 + d^2)*d^3) - 49/30*d^2*g^5*x/(sqrt(-e^2*x^2 + d^2)*e^5) - (5*e^3*f*g^4 + 3*d*e^2*g^5)*x^6/((-e^2*x^2 + d^2)^(5/2)*e^2) - 7/2*d^2*g^5*arcsin(e*x/d)/e^6 - 1/3*(10*e^3*f^2*g^3 + 15*d*e^2*f*g^4 + 3*d^2*e*g^5)*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4))/e^2 + 6*(5*e^3*f*g^4 + 3*d*e^2*g^5)*d^2*x^4/((-e^2*x^2 + d^2)^(5/2)*e^4) + (10*e^3*f^3*g^2 + 30*d*e^2*f^2*g^3 + 15*d^2*e*f*g^4 + d^3*g^5)*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) + 5/2*(e^3*f^4*g + 6*d*e^2*f^3*g^2 + 6*d^2*e*f^2*g^3 + d^3*f*g^4)*x^3/((-e^2*x^2 + d^2)^(5/2)*e^2) - 8*(5*e^3*f*g^4 + 3*d*e^2*g^5)*d^4*x^2/((-e^2*x^2 + d^2)^(5/2)*e^6) - 4/3*(10*e^3*f^3*g^2 + 30*d*e^2*f^2*g^3 + 15*d^2*e*f*g^4 + d^3*g^5)*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 1/3*(e^3*f^5 + 15*d*e^2*f^4*g + 30*d^2*e*f^3*g^2 + 10*d^3*f^2*g^3)*x^2/((-e^2*x^2 + d^2)^(5/2)*e^2) - 3/2*(e^3*f^4*g + 6*d*e^2*f^3*g^2 + 6*d^2*e*f^2*g^3 + d^3*f*g^4)*d^2*x/((-e^2*x^2 + d^2)^(5/2)*e^4) + 1/5*(3*d*e^2*f^5 + 15*d^2*e*f^4*g + 10*d^3*f^3*g^2)*x/((-e^2*x^2 + d^2)^(5/2)*e^2) + 16/5*(5*e^3*f*g^4 + 3*d*e^2*g^5)*d^6/((-e^2*x^2 + d^2)^(5/2)*e^8) + 8/15*(10*e^3*f^3*g^2 + 30*d*e^2*f^2*g^3 + 15*d^2*e*f*g^4 + d^3*g^5)*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6) - 2/15*(e^3*f^5 + 15*d*e^2*f^4*g + 30*d^2*e*f^3*g^2 + 10*d^3*f^2*g^3)*d^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 4/15*(10*e^3*f^2*g^3 + 15*d*e^2*f*g^4 + 3*d^2*e*g^5)*d^2*x/((-e^2*x^2 + d^2)^(3/2)*e^6) + 1/2*(e^3*f^4*g + 6*d*e^2*f^3*g^2 + 6*d^2*e*f^2*g^3 + d^3*f*g^4)*x/((-e^2*x^2 + d^2)^(3/2)*e^4) - 1/15*(3*d*e^2*f^5 + 15*d^2*e*f^4*g + 10*d^3*f^3*g^2)*x/((-e^2*x^2 + d^2)^(3/2)*d^2*e^2) - 7/15*(10*e^3*f^2*g^3 + 15*d*e^2*f*g^4 + 3*d^2*e*g^5)*x/(sqrt(-e^2*x^2 + d^2)*e^6) + (e^3*f^4*g + 6*d*e^2*f^3*g^2 + 6*d^2*e*f^2*g^3 + d^3*f*g^4)*x/(sqrt(-e^2*x^2 + d^2)*d^2*e^4) - 2/15*(3*d*e^2*f^5 + 15*d^2*e*f^4*g + 10*d^3*f^3*g^2)*x/(sqrt(-e^2*x^2 + d^2)*d^4*e^2) - (10*e^3*f^2*g^3 + 15*d*e^2*f*g^4 + 3*d^2*e*g^5)*arcsin(e*x/d)/e^7","B",0
580,1,1178,0,1.044214," ","integrate((e*x+d)^3*(g*x+f)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","-\frac{e g^{4} x^{6}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{6 \, d^{2} g^{4} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} - \frac{8 \, d^{4} g^{4} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} + \frac{d f^{4} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{1}{15} \, {\left(4 \, e^{3} f g^{3} + 3 \, d e^{2} g^{4}\right)} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} + \frac{3 \, d^{2} f^{4}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{4 \, d^{3} f^{3} g}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{16 \, d^{6} g^{4}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{5}} + \frac{4 \, f^{4} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{8 \, f^{4} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}} - \frac{{\left(4 \, e^{3} f g^{3} + 3 \, d e^{2} g^{4}\right)} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)}}{3 \, e^{2}} + \frac{3 \, {\left(2 \, e^{3} f^{2} g^{2} + 4 \, d e^{2} f g^{3} + d^{2} e g^{4}\right)} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{{\left(4 \, e^{3} f^{3} g + 18 \, d e^{2} f^{2} g^{2} + 12 \, d^{2} e f g^{3} + d^{3} g^{4}\right)} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{4 \, {\left(2 \, e^{3} f^{2} g^{2} + 4 \, d e^{2} f g^{3} + d^{2} e g^{4}\right)} d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{{\left(e^{3} f^{4} + 12 \, d e^{2} f^{3} g + 18 \, d^{2} e f^{2} g^{2} + 4 \, d^{3} f g^{3}\right)} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{3 \, {\left(4 \, e^{3} f^{3} g + 18 \, d e^{2} f^{2} g^{2} + 12 \, d^{2} e f g^{3} + d^{3} g^{4}\right)} d^{2} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{3 \, {\left(d e^{2} f^{4} + 4 \, d^{2} e f^{3} g + 2 \, d^{3} f^{2} g^{2}\right)} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{8 \, {\left(2 \, e^{3} f^{2} g^{2} + 4 \, d e^{2} f g^{3} + d^{2} e g^{4}\right)} d^{4}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}} - \frac{2 \, {\left(e^{3} f^{4} + 12 \, d e^{2} f^{3} g + 18 \, d^{2} e f^{2} g^{2} + 4 \, d^{3} f g^{3}\right)} d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{4 \, {\left(4 \, e^{3} f g^{3} + 3 \, d e^{2} g^{4}\right)} d^{2} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{6}} + \frac{{\left(4 \, e^{3} f^{3} g + 18 \, d e^{2} f^{2} g^{2} + 12 \, d^{2} e f g^{3} + d^{3} g^{4}\right)} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} - \frac{{\left(d e^{2} f^{4} + 4 \, d^{2} e f^{3} g + 2 \, d^{3} f^{2} g^{2}\right)} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{2}} - \frac{7 \, {\left(4 \, e^{3} f g^{3} + 3 \, d e^{2} g^{4}\right)} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{6}} + \frac{{\left(4 \, e^{3} f^{3} g + 18 \, d e^{2} f^{2} g^{2} + 12 \, d^{2} e f g^{3} + d^{3} g^{4}\right)} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{4}} - \frac{2 \, {\left(d e^{2} f^{4} + 4 \, d^{2} e f^{3} g + 2 \, d^{3} f^{2} g^{2}\right)} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e^{2}} - \frac{{\left(4 \, e^{3} f g^{3} + 3 \, d e^{2} g^{4}\right)} \arcsin\left(\frac{e x}{d}\right)}{e^{7}}"," ",0,"-e*g^4*x^6/(-e^2*x^2 + d^2)^(5/2) + 6*d^2*g^4*x^4/((-e^2*x^2 + d^2)^(5/2)*e) - 8*d^4*g^4*x^2/((-e^2*x^2 + d^2)^(5/2)*e^3) + 1/5*d*f^4*x/(-e^2*x^2 + d^2)^(5/2) + 1/15*(4*e^3*f*g^3 + 3*d*e^2*g^4)*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) + 3/5*d^2*f^4/((-e^2*x^2 + d^2)^(5/2)*e) + 4/5*d^3*f^3*g/((-e^2*x^2 + d^2)^(5/2)*e^2) + 16/5*d^6*g^4/((-e^2*x^2 + d^2)^(5/2)*e^5) + 4/15*f^4*x/((-e^2*x^2 + d^2)^(3/2)*d) + 8/15*f^4*x/(sqrt(-e^2*x^2 + d^2)*d^3) - 1/3*(4*e^3*f*g^3 + 3*d*e^2*g^4)*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4))/e^2 + 3*(2*e^3*f^2*g^2 + 4*d*e^2*f*g^3 + d^2*e*g^4)*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) + 1/2*(4*e^3*f^3*g + 18*d*e^2*f^2*g^2 + 12*d^2*e*f*g^3 + d^3*g^4)*x^3/((-e^2*x^2 + d^2)^(5/2)*e^2) - 4*(2*e^3*f^2*g^2 + 4*d*e^2*f*g^3 + d^2*e*g^4)*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 1/3*(e^3*f^4 + 12*d*e^2*f^3*g + 18*d^2*e*f^2*g^2 + 4*d^3*f*g^3)*x^2/((-e^2*x^2 + d^2)^(5/2)*e^2) - 3/10*(4*e^3*f^3*g + 18*d*e^2*f^2*g^2 + 12*d^2*e*f*g^3 + d^3*g^4)*d^2*x/((-e^2*x^2 + d^2)^(5/2)*e^4) + 3/5*(d*e^2*f^4 + 4*d^2*e*f^3*g + 2*d^3*f^2*g^2)*x/((-e^2*x^2 + d^2)^(5/2)*e^2) + 8/5*(2*e^3*f^2*g^2 + 4*d*e^2*f*g^3 + d^2*e*g^4)*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6) - 2/15*(e^3*f^4 + 12*d*e^2*f^3*g + 18*d^2*e*f^2*g^2 + 4*d^3*f*g^3)*d^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 4/15*(4*e^3*f*g^3 + 3*d*e^2*g^4)*d^2*x/((-e^2*x^2 + d^2)^(3/2)*e^6) + 1/10*(4*e^3*f^3*g + 18*d*e^2*f^2*g^2 + 12*d^2*e*f*g^3 + d^3*g^4)*x/((-e^2*x^2 + d^2)^(3/2)*e^4) - 1/5*(d*e^2*f^4 + 4*d^2*e*f^3*g + 2*d^3*f^2*g^2)*x/((-e^2*x^2 + d^2)^(3/2)*d^2*e^2) - 7/15*(4*e^3*f*g^3 + 3*d*e^2*g^4)*x/(sqrt(-e^2*x^2 + d^2)*e^6) + 1/5*(4*e^3*f^3*g + 18*d*e^2*f^2*g^2 + 12*d^2*e*f*g^3 + d^3*g^4)*x/(sqrt(-e^2*x^2 + d^2)*d^2*e^4) - 2/5*(d*e^2*f^4 + 4*d^2*e*f^3*g + 2*d^3*f^2*g^2)*x/(sqrt(-e^2*x^2 + d^2)*d^4*e^2) - (4*e^3*f*g^3 + 3*d*e^2*g^4)*arcsin(e*x/d)/e^7","B",0
581,1,891,0,1.031530," ","integrate((e*x+d)^3*(g*x+f)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{15} \, e^{3} g^{3} x {\left(\frac{15 \, x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{20 \, d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{8 \, d^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}}\right)} - \frac{1}{3} \, e g^{3} x {\left(\frac{3 \, x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{2}} - \frac{2 \, d^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}}\right)} + \frac{d f^{3} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{3 \, d^{2} f^{3}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{3 \, d^{3} f^{2} g}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{4 \, f^{3} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{4 \, d^{2} g^{3} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{3}} + \frac{8 \, f^{3} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}} - \frac{7 \, g^{3} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{3}} + \frac{3 \, {\left(e^{3} f g^{2} + d e^{2} g^{3}\right)} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{g^{3} \arcsin\left(\frac{e x}{d}\right)}{e^{4}} + \frac{3 \, {\left(e^{3} f^{2} g + 3 \, d e^{2} f g^{2} + d^{2} e g^{3}\right)} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{4 \, {\left(e^{3} f g^{2} + d e^{2} g^{3}\right)} d^{2} x^{2}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{{\left(e^{3} f^{3} + 9 \, d e^{2} f^{2} g + 9 \, d^{2} e f g^{2} + d^{3} g^{3}\right)} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{9 \, {\left(e^{3} f^{2} g + 3 \, d e^{2} f g^{2} + d^{2} e g^{3}\right)} d^{2} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{3 \, {\left(d e^{2} f^{3} + 3 \, d^{2} e f^{2} g + d^{3} f g^{2}\right)} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{8 \, {\left(e^{3} f g^{2} + d e^{2} g^{3}\right)} d^{4}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{6}} - \frac{2 \, {\left(e^{3} f^{3} + 9 \, d e^{2} f^{2} g + 9 \, d^{2} e f g^{2} + d^{3} g^{3}\right)} d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{3 \, {\left(e^{3} f^{2} g + 3 \, d e^{2} f g^{2} + d^{2} e g^{3}\right)} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} - \frac{{\left(d e^{2} f^{3} + 3 \, d^{2} e f^{2} g + d^{3} f g^{2}\right)} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{2}} + \frac{3 \, {\left(e^{3} f^{2} g + 3 \, d e^{2} f g^{2} + d^{2} e g^{3}\right)} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{4}} - \frac{2 \, {\left(d e^{2} f^{3} + 3 \, d^{2} e f^{2} g + d^{3} f g^{2}\right)} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e^{2}}"," ",0,"1/15*e^3*g^3*x*(15*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - 20*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 8*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6)) - 1/3*e*g^3*x*(3*x^2/((-e^2*x^2 + d^2)^(3/2)*e^2) - 2*d^2/((-e^2*x^2 + d^2)^(3/2)*e^4)) + 1/5*d*f^3*x/(-e^2*x^2 + d^2)^(5/2) + 3/5*d^2*f^3/((-e^2*x^2 + d^2)^(5/2)*e) + 3/5*d^3*f^2*g/((-e^2*x^2 + d^2)^(5/2)*e^2) + 4/15*f^3*x/((-e^2*x^2 + d^2)^(3/2)*d) + 4/15*d^2*g^3*x/((-e^2*x^2 + d^2)^(3/2)*e^3) + 8/15*f^3*x/(sqrt(-e^2*x^2 + d^2)*d^3) - 7/15*g^3*x/(sqrt(-e^2*x^2 + d^2)*e^3) + 3*(e^3*f*g^2 + d*e^2*g^3)*x^4/((-e^2*x^2 + d^2)^(5/2)*e^2) - g^3*arcsin(e*x/d)/e^4 + 3/2*(e^3*f^2*g + 3*d*e^2*f*g^2 + d^2*e*g^3)*x^3/((-e^2*x^2 + d^2)^(5/2)*e^2) - 4*(e^3*f*g^2 + d*e^2*g^3)*d^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 1/3*(e^3*f^3 + 9*d*e^2*f^2*g + 9*d^2*e*f*g^2 + d^3*g^3)*x^2/((-e^2*x^2 + d^2)^(5/2)*e^2) - 9/10*(e^3*f^2*g + 3*d*e^2*f*g^2 + d^2*e*g^3)*d^2*x/((-e^2*x^2 + d^2)^(5/2)*e^4) + 3/5*(d*e^2*f^3 + 3*d^2*e*f^2*g + d^3*f*g^2)*x/((-e^2*x^2 + d^2)^(5/2)*e^2) + 8/5*(e^3*f*g^2 + d*e^2*g^3)*d^4/((-e^2*x^2 + d^2)^(5/2)*e^6) - 2/15*(e^3*f^3 + 9*d*e^2*f^2*g + 9*d^2*e*f*g^2 + d^3*g^3)*d^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 3/10*(e^3*f^2*g + 3*d*e^2*f*g^2 + d^2*e*g^3)*x/((-e^2*x^2 + d^2)^(3/2)*e^4) - 1/5*(d*e^2*f^3 + 3*d^2*e*f^2*g + d^3*f*g^2)*x/((-e^2*x^2 + d^2)^(3/2)*d^2*e^2) + 3/5*(e^3*f^2*g + 3*d*e^2*f*g^2 + d^2*e*g^3)*x/(sqrt(-e^2*x^2 + d^2)*d^2*e^4) - 2/5*(d*e^2*f^3 + 3*d^2*e*f^2*g + d^3*f*g^2)*x/(sqrt(-e^2*x^2 + d^2)*d^4*e^2)","B",0
582,1,583,0,0.467112," ","integrate((e*x+d)^3*(g*x+f)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e g^{2} x^{4}}{{\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{4 \, d^{2} g^{2} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d f^{2} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{3 \, d^{2} f^{2}}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{2 \, d^{3} f g}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{8 \, d^{4} g^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{3}} + \frac{4 \, f^{2} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{8 \, f^{2} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}} + \frac{{\left(2 \, e^{3} f g + 3 \, d e^{2} g^{2}\right)} x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{{\left(e^{3} f^{2} + 6 \, d e^{2} f g + 3 \, d^{2} e g^{2}\right)} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{3 \, {\left(2 \, e^{3} f g + 3 \, d e^{2} g^{2}\right)} d^{2} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{{\left(3 \, d e^{2} f^{2} + 6 \, d^{2} e f g + d^{3} g^{2}\right)} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{2 \, {\left(e^{3} f^{2} + 6 \, d e^{2} f g + 3 \, d^{2} e g^{2}\right)} d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} + \frac{{\left(2 \, e^{3} f g + 3 \, d e^{2} g^{2}\right)} x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e^{4}} - \frac{{\left(3 \, d e^{2} f^{2} + 6 \, d^{2} e f g + d^{3} g^{2}\right)} x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{2}} + \frac{{\left(2 \, e^{3} f g + 3 \, d e^{2} g^{2}\right)} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e^{4}} - \frac{2 \, {\left(3 \, d e^{2} f^{2} + 6 \, d^{2} e f g + d^{3} g^{2}\right)} x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e^{2}}"," ",0,"e*g^2*x^4/(-e^2*x^2 + d^2)^(5/2) - 4/3*d^2*g^2*x^2/((-e^2*x^2 + d^2)^(5/2)*e) + 1/5*d*f^2*x/(-e^2*x^2 + d^2)^(5/2) + 3/5*d^2*f^2/((-e^2*x^2 + d^2)^(5/2)*e) + 2/5*d^3*f*g/((-e^2*x^2 + d^2)^(5/2)*e^2) + 8/15*d^4*g^2/((-e^2*x^2 + d^2)^(5/2)*e^3) + 4/15*f^2*x/((-e^2*x^2 + d^2)^(3/2)*d) + 8/15*f^2*x/(sqrt(-e^2*x^2 + d^2)*d^3) + 1/2*(2*e^3*f*g + 3*d*e^2*g^2)*x^3/((-e^2*x^2 + d^2)^(5/2)*e^2) + 1/3*(e^3*f^2 + 6*d*e^2*f*g + 3*d^2*e*g^2)*x^2/((-e^2*x^2 + d^2)^(5/2)*e^2) - 3/10*(2*e^3*f*g + 3*d*e^2*g^2)*d^2*x/((-e^2*x^2 + d^2)^(5/2)*e^4) + 1/5*(3*d*e^2*f^2 + 6*d^2*e*f*g + d^3*g^2)*x/((-e^2*x^2 + d^2)^(5/2)*e^2) - 2/15*(e^3*f^2 + 6*d*e^2*f*g + 3*d^2*e*g^2)*d^2/((-e^2*x^2 + d^2)^(5/2)*e^4) + 1/10*(2*e^3*f*g + 3*d*e^2*g^2)*x/((-e^2*x^2 + d^2)^(3/2)*e^4) - 1/15*(3*d*e^2*f^2 + 6*d^2*e*f*g + d^3*g^2)*x/((-e^2*x^2 + d^2)^(3/2)*d^2*e^2) + 1/5*(2*e^3*f*g + 3*d*e^2*g^2)*x/(sqrt(-e^2*x^2 + d^2)*d^2*e^4) - 2/15*(3*d*e^2*f^2 + 6*d^2*e*f*g + d^3*g^2)*x/(sqrt(-e^2*x^2 + d^2)*d^4*e^2)","B",0
583,1,373,0,0.463709," ","integrate((e*x+d)^3*(g*x+f)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e g x^{3}}{2 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{d f x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} - \frac{3 \, d^{2} g x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{3 \, d^{2} f}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{d^{3} g}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{4 \, f x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{g x}{10 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} e} + \frac{8 \, f x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}} + \frac{g x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} e} + \frac{{\left(e^{3} f + 3 \, d e^{2} g\right)} x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} + \frac{3 \, {\left(d e^{2} f + d^{2} e g\right)} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{2}} - \frac{2 \, {\left(e^{3} f + 3 \, d e^{2} g\right)} d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e^{4}} - \frac{{\left(d e^{2} f + d^{2} e g\right)} x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d^{2} e^{2}} - \frac{2 \, {\left(d e^{2} f + d^{2} e g\right)} x}{5 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{4} e^{2}}"," ",0,"1/2*e*g*x^3/(-e^2*x^2 + d^2)^(5/2) + 1/5*d*f*x/(-e^2*x^2 + d^2)^(5/2) - 3/10*d^2*g*x/((-e^2*x^2 + d^2)^(5/2)*e) + 3/5*d^2*f/((-e^2*x^2 + d^2)^(5/2)*e) + 1/5*d^3*g/((-e^2*x^2 + d^2)^(5/2)*e^2) + 4/15*f*x/((-e^2*x^2 + d^2)^(3/2)*d) + 1/10*g*x/((-e^2*x^2 + d^2)^(3/2)*e) + 8/15*f*x/(sqrt(-e^2*x^2 + d^2)*d^3) + 1/5*g*x/(sqrt(-e^2*x^2 + d^2)*d^2*e) + 1/3*(e^3*f + 3*d*e^2*g)*x^2/((-e^2*x^2 + d^2)^(5/2)*e^2) + 3/5*(d*e^2*f + d^2*e*g)*x/((-e^2*x^2 + d^2)^(5/2)*e^2) - 2/15*(e^3*f + 3*d*e^2*g)*d^2/((-e^2*x^2 + d^2)^(5/2)*e^4) - 1/5*(d*e^2*f + d^2*e*g)*x/((-e^2*x^2 + d^2)^(3/2)*d^2*e^2) - 2/5*(d*e^2*f + d^2*e*g)*x/(sqrt(-e^2*x^2 + d^2)*d^4*e^2)","B",0
584,1,101,0,0.439875," ","integrate((e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""maxima"")","\frac{e x^{2}}{3 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{4 \, d x}{5 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}}} + \frac{7 \, d^{2}}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{5}{2}} e} + \frac{x}{15 \, {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, x}{15 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{3}}"," ",0,"1/3*e*x^2/(-e^2*x^2 + d^2)^(5/2) + 4/5*d*x/(-e^2*x^2 + d^2)^(5/2) + 7/15*d^2/((-e^2*x^2 + d^2)^(5/2)*e) + 1/15*x/((-e^2*x^2 + d^2)^(3/2)*d) + 2/15*x/(sqrt(-e^2*x^2 + d^2)*d^3)","A",0
585,-2,0,0,0.000000," ","integrate((e*x+d)^3/(g*x+f)/(-e^2*x^2+d^2)^(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((d*g-e*f)>0)', see `assume?` for more details)Is (d*g-e*f)    *(d*g+e*f)    positive, negative or zero?","F(-2)",0
586,-2,0,0,0.000000," ","integrate((e*x+d)^3/(g*x+f)^2/(-e^2*x^2+d^2)^(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((d*g-e*f)>0)', see `assume?` for more details)Is (d*g-e*f)    *(d*g+e*f)    positive, negative or zero?","F(-2)",0
587,-2,0,0,0.000000," ","integrate((e*x+d)^3/(g*x+f)^3/(-e^2*x^2+d^2)^(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((d*g-e*f)>0)', see `assume?` for more details)Is (d*g-e*f)    *(d*g+e*f)    positive, negative or zero?","F(-2)",0
588,-2,0,0,0.000000," ","integrate((c*x^2+a)/(e*x+d)^(3/2)/(g*x+f),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(g*(d*g-e*f)>0)', see `assume?` for more details)Is g*(d*g-e*f)    positive or negative?","F(-2)",0
589,1,326,0,0.447822," ","integrate((e*x+d)^3*(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(g x + f\right)}^{\frac{11}{2}} c e^{3} - 385 \, {\left(5 \, c e^{3} f - 3 \, c d e^{2} g\right)} {\left(g x + f\right)}^{\frac{9}{2}} + 495 \, {\left(10 \, c e^{3} f^{2} - 12 \, c d e^{2} f g + {\left(3 \, c d^{2} e + a e^{3}\right)} g^{2}\right)} {\left(g x + f\right)}^{\frac{7}{2}} - 693 \, {\left(10 \, c e^{3} f^{3} - 18 \, c d e^{2} f^{2} g + 3 \, {\left(3 \, c d^{2} e + a e^{3}\right)} f g^{2} - {\left(c d^{3} + 3 \, a d e^{2}\right)} g^{3}\right)} {\left(g x + f\right)}^{\frac{5}{2}} + 1155 \, {\left(5 \, c e^{3} f^{4} - 12 \, c d e^{2} f^{3} g + 3 \, a d^{2} e g^{4} + 3 \, {\left(3 \, c d^{2} e + a e^{3}\right)} f^{2} g^{2} - 2 \, {\left(c d^{3} + 3 \, a d e^{2}\right)} f g^{3}\right)} {\left(g x + f\right)}^{\frac{3}{2}} - 3465 \, {\left(c e^{3} f^{5} - 3 \, c d e^{2} f^{4} g + 3 \, a d^{2} e f g^{4} - a d^{3} g^{5} + {\left(3 \, c d^{2} e + a e^{3}\right)} f^{3} g^{2} - {\left(c d^{3} + 3 \, a d e^{2}\right)} f^{2} g^{3}\right)} \sqrt{g x + f}\right)}}{3465 \, g^{6}}"," ",0,"2/3465*(315*(g*x + f)^(11/2)*c*e^3 - 385*(5*c*e^3*f - 3*c*d*e^2*g)*(g*x + f)^(9/2) + 495*(10*c*e^3*f^2 - 12*c*d*e^2*f*g + (3*c*d^2*e + a*e^3)*g^2)*(g*x + f)^(7/2) - 693*(10*c*e^3*f^3 - 18*c*d*e^2*f^2*g + 3*(3*c*d^2*e + a*e^3)*f*g^2 - (c*d^3 + 3*a*d*e^2)*g^3)*(g*x + f)^(5/2) + 1155*(5*c*e^3*f^4 - 12*c*d*e^2*f^3*g + 3*a*d^2*e*g^4 + 3*(3*c*d^2*e + a*e^3)*f^2*g^2 - 2*(c*d^3 + 3*a*d*e^2)*f*g^3)*(g*x + f)^(3/2) - 3465*(c*e^3*f^5 - 3*c*d*e^2*f^4*g + 3*a*d^2*e*f*g^4 - a*d^3*g^5 + (3*c*d^2*e + a*e^3)*f^3*g^2 - (c*d^3 + 3*a*d*e^2)*f^2*g^3)*sqrt(g*x + f))/g^6","A",0
590,1,197,0,0.448256," ","integrate((e*x+d)^2*(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(g x + f\right)}^{\frac{9}{2}} c e^{2} - 90 \, {\left(2 \, c e^{2} f - c d e g\right)} {\left(g x + f\right)}^{\frac{7}{2}} + 63 \, {\left(6 \, c e^{2} f^{2} - 6 \, c d e f g + {\left(c d^{2} + a e^{2}\right)} g^{2}\right)} {\left(g x + f\right)}^{\frac{5}{2}} - 210 \, {\left(2 \, c e^{2} f^{3} - 3 \, c d e f^{2} g - a d e g^{3} + {\left(c d^{2} + a e^{2}\right)} f g^{2}\right)} {\left(g x + f\right)}^{\frac{3}{2}} + 315 \, {\left(c e^{2} f^{4} - 2 \, c d e f^{3} g - 2 \, a d e f g^{3} + a d^{2} g^{4} + {\left(c d^{2} + a e^{2}\right)} f^{2} g^{2}\right)} \sqrt{g x + f}\right)}}{315 \, g^{5}}"," ",0,"2/315*(35*(g*x + f)^(9/2)*c*e^2 - 90*(2*c*e^2*f - c*d*e*g)*(g*x + f)^(7/2) + 63*(6*c*e^2*f^2 - 6*c*d*e*f*g + (c*d^2 + a*e^2)*g^2)*(g*x + f)^(5/2) - 210*(2*c*e^2*f^3 - 3*c*d*e*f^2*g - a*d*e*g^3 + (c*d^2 + a*e^2)*f*g^2)*(g*x + f)^(3/2) + 315*(c*e^2*f^4 - 2*c*d*e*f^3*g - 2*a*d*e*f*g^3 + a*d^2*g^4 + (c*d^2 + a*e^2)*f^2*g^2)*sqrt(g*x + f))/g^5","A",0
591,1,104,0,0.443630," ","integrate((e*x+d)*(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(g x + f\right)}^{\frac{7}{2}} c e - 21 \, {\left(3 \, c e f - c d g\right)} {\left(g x + f\right)}^{\frac{5}{2}} + 35 \, {\left(3 \, c e f^{2} - 2 \, c d f g + a e g^{2}\right)} {\left(g x + f\right)}^{\frac{3}{2}} - 105 \, {\left(c e f^{3} - c d f^{2} g + a e f g^{2} - a d g^{3}\right)} \sqrt{g x + f}\right)}}{105 \, g^{4}}"," ",0,"2/105*(15*(g*x + f)^(7/2)*c*e - 21*(3*c*e*f - c*d*g)*(g*x + f)^(5/2) + 35*(3*c*e*f^2 - 2*c*d*f*g + a*e*g^2)*(g*x + f)^(3/2) - 105*(c*e*f^3 - c*d*f^2*g + a*e*f*g^2 - a*d*g^3)*sqrt(g*x + f))/g^4","A",0
592,1,53,0,0.432950," ","integrate((c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, \sqrt{g x + f} a + \frac{{\left(3 \, {\left(g x + f\right)}^{\frac{5}{2}} - 10 \, {\left(g x + f\right)}^{\frac{3}{2}} f + 15 \, \sqrt{g x + f} f^{2}\right)} c}{g^{2}}\right)}}{15 \, g}"," ",0,"2/15*(15*sqrt(g*x + f)*a + (3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*c/g^2)/g","A",0
593,-2,0,0,0.000000," ","integrate((c*x^2+a)/(e*x+d)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
594,-2,0,0,0.000000," ","integrate((c*x^2+a)/(e*x+d)^2/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
595,-2,0,0,0.000000," ","integrate((c*x^2+a)/(e*x+d)^3/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
596,1,334,0,0.459992," ","integrate((e*x+d)^3*(c*x^2+a)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(g x + f\right)}^{\frac{9}{2}} c e^{3} - 45 \, {\left(5 \, c e^{3} f - 3 \, c d e^{2} g\right)} {\left(g x + f\right)}^{\frac{7}{2}} + 63 \, {\left(10 \, c e^{3} f^{2} - 12 \, c d e^{2} f g + {\left(3 \, c d^{2} e + a e^{3}\right)} g^{2}\right)} {\left(g x + f\right)}^{\frac{5}{2}} - 105 \, {\left(10 \, c e^{3} f^{3} - 18 \, c d e^{2} f^{2} g + 3 \, {\left(3 \, c d^{2} e + a e^{3}\right)} f g^{2} - {\left(c d^{3} + 3 \, a d e^{2}\right)} g^{3}\right)} {\left(g x + f\right)}^{\frac{3}{2}} + 315 \, {\left(5 \, c e^{3} f^{4} - 12 \, c d e^{2} f^{3} g + 3 \, a d^{2} e g^{4} + 3 \, {\left(3 \, c d^{2} e + a e^{3}\right)} f^{2} g^{2} - 2 \, {\left(c d^{3} + 3 \, a d e^{2}\right)} f g^{3}\right)} \sqrt{g x + f}}{g^{5}} + \frac{315 \, {\left(c e^{3} f^{5} - 3 \, c d e^{2} f^{4} g + 3 \, a d^{2} e f g^{4} - a d^{3} g^{5} + {\left(3 \, c d^{2} e + a e^{3}\right)} f^{3} g^{2} - {\left(c d^{3} + 3 \, a d e^{2}\right)} f^{2} g^{3}\right)}}{\sqrt{g x + f} g^{5}}\right)}}{315 \, g}"," ",0,"2/315*((35*(g*x + f)^(9/2)*c*e^3 - 45*(5*c*e^3*f - 3*c*d*e^2*g)*(g*x + f)^(7/2) + 63*(10*c*e^3*f^2 - 12*c*d*e^2*f*g + (3*c*d^2*e + a*e^3)*g^2)*(g*x + f)^(5/2) - 105*(10*c*e^3*f^3 - 18*c*d*e^2*f^2*g + 3*(3*c*d^2*e + a*e^3)*f*g^2 - (c*d^3 + 3*a*d*e^2)*g^3)*(g*x + f)^(3/2) + 315*(5*c*e^3*f^4 - 12*c*d*e^2*f^3*g + 3*a*d^2*e*g^4 + 3*(3*c*d^2*e + a*e^3)*f^2*g^2 - 2*(c*d^3 + 3*a*d*e^2)*f*g^3)*sqrt(g*x + f))/g^5 + 315*(c*e^3*f^5 - 3*c*d*e^2*f^4*g + 3*a*d^2*e*f*g^4 - a*d^3*g^5 + (3*c*d^2*e + a*e^3)*f^3*g^2 - (c*d^3 + 3*a*d*e^2)*f^2*g^3)/(sqrt(g*x + f)*g^5))/g","A",0
597,1,205,0,0.448803," ","integrate((e*x+d)^2*(c*x^2+a)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(g x + f\right)}^{\frac{7}{2}} c e^{2} - 42 \, {\left(2 \, c e^{2} f - c d e g\right)} {\left(g x + f\right)}^{\frac{5}{2}} + 35 \, {\left(6 \, c e^{2} f^{2} - 6 \, c d e f g + {\left(c d^{2} + a e^{2}\right)} g^{2}\right)} {\left(g x + f\right)}^{\frac{3}{2}} - 210 \, {\left(2 \, c e^{2} f^{3} - 3 \, c d e f^{2} g - a d e g^{3} + {\left(c d^{2} + a e^{2}\right)} f g^{2}\right)} \sqrt{g x + f}}{g^{4}} - \frac{105 \, {\left(c e^{2} f^{4} - 2 \, c d e f^{3} g - 2 \, a d e f g^{3} + a d^{2} g^{4} + {\left(c d^{2} + a e^{2}\right)} f^{2} g^{2}\right)}}{\sqrt{g x + f} g^{4}}\right)}}{105 \, g}"," ",0,"2/105*((15*(g*x + f)^(7/2)*c*e^2 - 42*(2*c*e^2*f - c*d*e*g)*(g*x + f)^(5/2) + 35*(6*c*e^2*f^2 - 6*c*d*e*f*g + (c*d^2 + a*e^2)*g^2)*(g*x + f)^(3/2) - 210*(2*c*e^2*f^3 - 3*c*d*e*f^2*g - a*d*e*g^3 + (c*d^2 + a*e^2)*f*g^2)*sqrt(g*x + f))/g^4 - 105*(c*e^2*f^4 - 2*c*d*e*f^3*g - 2*a*d*e*f*g^3 + a*d^2*g^4 + (c*d^2 + a*e^2)*f^2*g^2)/(sqrt(g*x + f)*g^4))/g","A",0
598,1,112,0,0.445278," ","integrate((e*x+d)*(c*x^2+a)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(g x + f\right)}^{\frac{5}{2}} c e - 5 \, {\left(3 \, c e f - c d g\right)} {\left(g x + f\right)}^{\frac{3}{2}} + 15 \, {\left(3 \, c e f^{2} - 2 \, c d f g + a e g^{2}\right)} \sqrt{g x + f}}{g^{3}} + \frac{15 \, {\left(c e f^{3} - c d f^{2} g + a e f g^{2} - a d g^{3}\right)}}{\sqrt{g x + f} g^{3}}\right)}}{15 \, g}"," ",0,"2/15*((3*(g*x + f)^(5/2)*c*e - 5*(3*c*e*f - c*d*g)*(g*x + f)^(3/2) + 15*(3*c*e*f^2 - 2*c*d*f*g + a*e*g^2)*sqrt(g*x + f))/g^3 + 15*(c*e*f^3 - c*d*f^2*g + a*e*f*g^2 - a*d*g^3)/(sqrt(g*x + f)*g^3))/g","A",0
599,1,54,0,0.442672," ","integrate((c*x^2+a)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(g x + f\right)}^{\frac{3}{2}} c - 6 \, \sqrt{g x + f} c f}{g^{2}} - \frac{3 \, {\left(c f^{2} + a g^{2}\right)}}{\sqrt{g x + f} g^{2}}\right)}}{3 \, g}"," ",0,"2/3*(((g*x + f)^(3/2)*c - 6*sqrt(g*x + f)*c*f)/g^2 - 3*(c*f^2 + a*g^2)/(sqrt(g*x + f)*g^2))/g","A",0
600,-2,0,0,0.000000," ","integrate((c*x^2+a)/(e*x+d)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
601,-2,0,0,0.000000," ","integrate((c*x^2+a)/(e*x+d)^2/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
602,-2,0,0,0.000000," ","integrate((c*x^2+a)/(e*x+d)^3/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
603,-2,0,0,0.000000," ","integrate((c*x^2+a)/(e*x+d)^(1/2)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f zero or nonzero?","F(-2)",0
604,1,9,0,0.430083," ","integrate((2*x^2-1)/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} - 1} x"," ",0,"sqrt(x^2 - 1)*x","C",0
605,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(g*x+f)^(1/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} \sqrt{g x + f}}{c x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*sqrt(g*x + f)/(c*x^2 + a), x)","F",0
606,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(g*x+f)^(1/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} \sqrt{g x + f}}{c x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*sqrt(g*x + f)/(c*x^2 + a), x)","F",0
607,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^(1/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{{\left(c x^{2} + a\right)} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/((c*x^2 + a)*sqrt(e*x + d)), x)","F",0
608,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^(3/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{{\left(c x^{2} + a\right)} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/((c*x^2 + a)*(e*x + d)^(3/2)), x)","F",0
609,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^(5/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{{\left(c x^{2} + a\right)} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/((c*x^2 + a)*(e*x + d)^(5/2)), x)","F",0
610,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + a\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*x^2 + a)*sqrt(g*x + f)), x)","F",0
611,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + a\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/((c*x^2 + a)*sqrt(g*x + f)), x)","F",0
612,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)} \sqrt{e x + d} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)*sqrt(e*x + d)*sqrt(g*x + f)), x)","F",0
613,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)} {\left(e x + d\right)}^{\frac{3}{2}} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)*(e*x + d)^(3/2)*sqrt(g*x + f)), x)","F",0
614,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^(3/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + a\right)} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*x^2 + a)*(g*x + f)^(3/2)), x)","F",0
615,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^(3/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + a\right)} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/((c*x^2 + a)*(g*x + f)^(3/2)), x)","F",0
616,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(g*x+f)^(3/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)} \sqrt{e x + d} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)*sqrt(e*x + d)*(g*x + f)^(3/2)), x)","F",0
617,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(g*x+f)^(3/2)/(c*x^2+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + a\right)} {\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + a)*(e*x + d)^(3/2)*(g*x + f)^(3/2)), x)","F",0
618,0,0,0,0.000000," ","integrate(x^(1/2)/(x^2+1)/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x}}{{\left(x^{2} + 1\right)} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x)/((x^2 + 1)*sqrt(x + 1)), x)","F",0
619,0,0,0,0.000000," ","integrate((g*x+f)^2*(-x^2+1)^(1/2)/(1-x)^4,x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{2} \sqrt{-x^{2} + 1}}{{\left(x - 1\right)}^{4}}\,{d x}"," ",0,"integrate((g*x + f)^2*sqrt(-x^2 + 1)/(x - 1)^4, x)","F",0
620,0,0,0,0.000000," ","integrate((-a^2*x^2+1)^(3/2)/(-a*x+1)^2/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{{\left(a x - 1\right)}^{2} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((-a^2*x^2 + 1)^(3/2)/((a*x - 1)^2*(d*x + c)), x)","F",0
621,-2,0,0,0.000000," ","integrate((a*x+1)^2/(d*x+c)/(-a^2*x^2+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d-a*c>0)', see `assume?` for more details)Is d-a*c positive, negative or zero?","F(-2)",0
622,0,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)^(1/2)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(e x + d\right)}^{3} \sqrt{g x + f}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(e*x + d)^3*sqrt(g*x + f), x)","F",0
623,0,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)^(1/2)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(e x + d\right)}^{2} \sqrt{g x + f}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(e*x + d)^2*sqrt(g*x + f), x)","F",0
624,0,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)^(1/2)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} {\left(e x + d\right)} \sqrt{g x + f}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(e*x + d)*sqrt(g*x + f), x)","F",0
625,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + a} \sqrt{g x + f}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*sqrt(g*x + f), x)","F",0
626,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} \sqrt{g x + f}}{e x + d}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*sqrt(g*x + f)/(e*x + d), x)","F",0
627,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(c*x^2+a)^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} \sqrt{g x + f}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*sqrt(g*x + f)/(e*x + d)^2, x)","F",0
628,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(c*x^2+a)^(1/2)/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} \sqrt{g x + f}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*sqrt(g*x + f)/(e*x + d)^3, x)","F",0
629,0,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+a)^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{3}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(e*x + d)^3/sqrt(g*x + f), x)","F",0
630,0,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+a)^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{2}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(e*x + d)^2/sqrt(g*x + f), x)","F",0
631,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+a)^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a} {\left(e x + d\right)}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)*(e*x + d)/sqrt(g*x + f), x)","F",0
632,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/sqrt(g*x + f), x)","F",0
633,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/(e*x+d)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/((e*x + d)*sqrt(g*x + f)), x)","F",0
634,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^2/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)}^{2} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/((e*x + d)^2*sqrt(g*x + f)), x)","F",0
635,0,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/(e*x+d)^3/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + a}}{{\left(e x + d\right)}^{3} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + a)/((e*x + d)^3*sqrt(g*x + f)), x)","F",0
636,0,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3} \sqrt{g x + f}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((e*x + d)^3*sqrt(g*x + f)/sqrt(c*x^2 + a), x)","F",0
637,0,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2} \sqrt{g x + f}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((e*x + d)^2*sqrt(g*x + f)/sqrt(c*x^2 + a), x)","F",0
638,0,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} \sqrt{g x + f}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate((e*x + d)*sqrt(g*x + f)/sqrt(c*x^2 + a), x)","F",0
639,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{\sqrt{c x^{2} + a}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/sqrt(c*x^2 + a), x)","F",0
640,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{\sqrt{c x^{2} + a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/(sqrt(c*x^2 + a)*(e*x + d)), x)","F",0
641,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/(sqrt(c*x^2 + a)*(e*x + d)^2), x)","F",0
642,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^3/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/(sqrt(c*x^2 + a)*(e*x + d)^3), x)","F",0
643,0,0,0,0.000000," ","integrate((g*x+f)^(5/2)/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{\frac{5}{2}}}{\sqrt{c x^{2} + a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate((g*x + f)^(5/2)/(sqrt(c*x^2 + a)*(e*x + d)), x)","F",0
644,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate((g*x + f)^(3/2)/(sqrt(c*x^2 + a)*(e*x + d)), x)","F",0
645,0,0,0,0.000000," ","integrate((e*x+d)^3/(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3}}{\sqrt{c x^{2} + a} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)^3/(sqrt(c*x^2 + a)*sqrt(g*x + f)), x)","F",0
646,0,0,0,0.000000," ","integrate((e*x+d)^2/(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{\sqrt{c x^{2} + a} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)^2/(sqrt(c*x^2 + a)*sqrt(g*x + f)), x)","F",0
647,0,0,0,0.000000," ","integrate((e*x+d)/(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x + d}{\sqrt{c x^{2} + a} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)/(sqrt(c*x^2 + a)*sqrt(g*x + f)), x)","F",0
648,0,0,0,0.000000," ","integrate(1/(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*sqrt(g*x + f)), x)","F",0
649,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)*sqrt(g*x + f)), x)","F",0
650,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{2} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)^2*sqrt(g*x + f)), x)","F",0
651,0,0,0,0.000000," ","integrate(1/(e*x+d)^3/(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)}^{3} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)^3*sqrt(g*x + f)), x)","F",0
652,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^(3/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)*(g*x + f)^(3/2)), x)","F",0
653,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^(5/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} {\left(e x + d\right)} {\left(g x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*(e*x + d)*(g*x + f)^(5/2)), x)","F",0
654,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^(1/2)/(c*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + 1} {\left(e x + d\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + 1)*(e*x + d)*sqrt(g*x + f)), x)","F",0
655,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(g*x+f)^(1/2)/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + a} \sqrt{e x + d} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + a)*sqrt(e*x + d)*sqrt(g*x + f)), x)","F",0
656,0,0,0,0.000000," ","integrate(1/(-1+x)^(1/2)/(1+x)^(1/2)/(2*x^2-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{2 \, x^{2} - 1} \sqrt{x + 1} \sqrt{x - 1}}\,{d x}"," ",0,"integrate(1/(sqrt(2*x^2 - 1)*sqrt(x + 1)*sqrt(x - 1)), x)","F",0
657,1,218,0,0.656145," ","integrate((g*x+f)^3*(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{c d x + a e} f^{3}}{c d} + \frac{2 \, {\left(c^{2} d^{2} x^{2} - a c d e x - 2 \, a^{2} e^{2}\right)} f^{2} g}{\sqrt{c d x + a e} c^{2} d^{2}} + \frac{2 \, {\left(3 \, c^{3} d^{3} x^{3} - a c^{2} d^{2} e x^{2} + 4 \, a^{2} c d e^{2} x + 8 \, a^{3} e^{3}\right)} f g^{2}}{5 \, \sqrt{c d x + a e} c^{3} d^{3}} + \frac{2 \, {\left(5 \, c^{4} d^{4} x^{4} - a c^{3} d^{3} e x^{3} + 2 \, a^{2} c^{2} d^{2} e^{2} x^{2} - 8 \, a^{3} c d e^{3} x - 16 \, a^{4} e^{4}\right)} g^{3}}{35 \, \sqrt{c d x + a e} c^{4} d^{4}}"," ",0,"2*sqrt(c*d*x + a*e)*f^3/(c*d) + 2*(c^2*d^2*x^2 - a*c*d*e*x - 2*a^2*e^2)*f^2*g/(sqrt(c*d*x + a*e)*c^2*d^2) + 2/5*(3*c^3*d^3*x^3 - a*c^2*d^2*e*x^2 + 4*a^2*c*d*e^2*x + 8*a^3*e^3)*f*g^2/(sqrt(c*d*x + a*e)*c^3*d^3) + 2/35*(5*c^4*d^4*x^4 - a*c^3*d^3*e*x^3 + 2*a^2*c^2*d^2*e^2*x^2 - 8*a^3*c*d*e^3*x - 16*a^4*e^4)*g^3/(sqrt(c*d*x + a*e)*c^4*d^4)","A",0
658,1,133,0,0.613116," ","integrate((g*x+f)^2*(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{c d x + a e} f^{2}}{c d} + \frac{4 \, {\left(c^{2} d^{2} x^{2} - a c d e x - 2 \, a^{2} e^{2}\right)} f g}{3 \, \sqrt{c d x + a e} c^{2} d^{2}} + \frac{2 \, {\left(3 \, c^{3} d^{3} x^{3} - a c^{2} d^{2} e x^{2} + 4 \, a^{2} c d e^{2} x + 8 \, a^{3} e^{3}\right)} g^{2}}{15 \, \sqrt{c d x + a e} c^{3} d^{3}}"," ",0,"2*sqrt(c*d*x + a*e)*f^2/(c*d) + 4/3*(c^2*d^2*x^2 - a*c*d*e*x - 2*a^2*e^2)*f*g/(sqrt(c*d*x + a*e)*c^2*d^2) + 2/15*(3*c^3*d^3*x^3 - a*c^2*d^2*e*x^2 + 4*a^2*c*d*e^2*x + 8*a^3*e^3)*g^2/(sqrt(c*d*x + a*e)*c^3*d^3)","A",0
659,1,65,0,0.550591," ","integrate((g*x+f)*(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{c d x + a e} f}{c d} + \frac{2 \, {\left(c^{2} d^{2} x^{2} - a c d e x - 2 \, a^{2} e^{2}\right)} g}{3 \, \sqrt{c d x + a e} c^{2} d^{2}}"," ",0,"2*sqrt(c*d*x + a*e)*f/(c*d) + 2/3*(c^2*d^2*x^2 - a*c*d*e*x - 2*a^2*e^2)*g/(sqrt(c*d*x + a*e)*c^2*d^2)","A",0
660,1,18,0,0.503117," ","integrate((e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{c d x + a e}}{c d}"," ",0,"2*sqrt(c*d*x + a*e)/(c*d)","A",0
661,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)), x)","F",0
662,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^2), x)","F",0
663,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^3), x)","F",0
664,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{4}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^4), x)","F",0
665,1,165,0,0.697093," ","integrate((e*x+d)^(3/2)*(g*x+f)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, f^{3}}{\sqrt{c d x + a e} c d} + \frac{6 \, {\left(c d x + 2 \, a e\right)} f^{2} g}{\sqrt{c d x + a e} c^{2} d^{2}} + \frac{2 \, {\left(c^{2} d^{2} x^{2} - 4 \, a c d e x - 8 \, a^{2} e^{2}\right)} f g^{2}}{\sqrt{c d x + a e} c^{3} d^{3}} + \frac{2 \, {\left(c^{3} d^{3} x^{3} - 2 \, a c^{2} d^{2} e x^{2} + 8 \, a^{2} c d e^{2} x + 16 \, a^{3} e^{3}\right)} g^{3}}{5 \, \sqrt{c d x + a e} c^{4} d^{4}}"," ",0,"-2*f^3/(sqrt(c*d*x + a*e)*c*d) + 6*(c*d*x + 2*a*e)*f^2*g/(sqrt(c*d*x + a*e)*c^2*d^2) + 2*(c^2*d^2*x^2 - 4*a*c*d*e*x - 8*a^2*e^2)*f*g^2/(sqrt(c*d*x + a*e)*c^3*d^3) + 2/5*(c^3*d^3*x^3 - 2*a*c^2*d^2*e*x^2 + 8*a^2*c*d*e^2*x + 16*a^3*e^3)*g^3/(sqrt(c*d*x + a*e)*c^4*d^4)","A",0
666,1,98,0,0.631686," ","integrate((e*x+d)^(3/2)*(g*x+f)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, f^{2}}{\sqrt{c d x + a e} c d} + \frac{4 \, {\left(c d x + 2 \, a e\right)} f g}{\sqrt{c d x + a e} c^{2} d^{2}} + \frac{2 \, {\left(c^{2} d^{2} x^{2} - 4 \, a c d e x - 8 \, a^{2} e^{2}\right)} g^{2}}{3 \, \sqrt{c d x + a e} c^{3} d^{3}}"," ",0,"-2*f^2/(sqrt(c*d*x + a*e)*c*d) + 4*(c*d*x + 2*a*e)*f*g/(sqrt(c*d*x + a*e)*c^2*d^2) + 2/3*(c^2*d^2*x^2 - 4*a*c*d*e*x - 8*a^2*e^2)*g^2/(sqrt(c*d*x + a*e)*c^3*d^3)","A",0
667,1,48,0,0.569763," ","integrate((e*x+d)^(3/2)*(g*x+f)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, f}{\sqrt{c d x + a e} c d} + \frac{2 \, {\left(c d x + 2 \, a e\right)} g}{\sqrt{c d x + a e} c^{2} d^{2}}"," ",0,"-2*f/(sqrt(c*d*x + a*e)*c*d) + 2*(c*d*x + 2*a*e)*g/(sqrt(c*d*x + a*e)*c^2*d^2)","A",0
668,1,18,0,0.511654," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{c d x + a e} c d}"," ",0,"-2/(sqrt(c*d*x + a*e)*c*d)","A",0
669,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(g*x + f)), x)","F",0
670,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(g*x + f)^2), x)","F",0
671,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(g*x + f)^3), x)","F",0
672,1,219,0,0.743820," ","integrate((e*x+d)^(5/2)*(g*x+f)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, c d x + 2 \, a e\right)} f^{2} g}{{\left(c^{3} d^{3} x + a c^{2} d^{2} e\right)} \sqrt{c d x + a e}} + \frac{2 \, {\left(3 \, c^{2} d^{2} x^{2} + 12 \, a c d e x + 8 \, a^{2} e^{2}\right)} f g^{2}}{{\left(c^{4} d^{4} x + a c^{3} d^{3} e\right)} \sqrt{c d x + a e}} + \frac{2 \, {\left(c^{3} d^{3} x^{3} - 6 \, a c^{2} d^{2} e x^{2} - 24 \, a^{2} c d e^{2} x - 16 \, a^{3} e^{3}\right)} g^{3}}{3 \, {\left(c^{5} d^{5} x + a c^{4} d^{4} e\right)} \sqrt{c d x + a e}} - \frac{2 \, f^{3}}{3 \, {\left(c^{2} d^{2} x + a c d e\right)} \sqrt{c d x + a e}}"," ",0,"-2*(3*c*d*x + 2*a*e)*f^2*g/((c^3*d^3*x + a*c^2*d^2*e)*sqrt(c*d*x + a*e)) + 2*(3*c^2*d^2*x^2 + 12*a*c*d*e*x + 8*a^2*e^2)*f*g^2/((c^4*d^4*x + a*c^3*d^3*e)*sqrt(c*d*x + a*e)) + 2/3*(c^3*d^3*x^3 - 6*a*c^2*d^2*e*x^2 - 24*a^2*c*d*e^2*x - 16*a^3*e^3)*g^3/((c^5*d^5*x + a*c^4*d^4*e)*sqrt(c*d*x + a*e)) - 2/3*f^3/((c^2*d^2*x + a*c*d*e)*sqrt(c*d*x + a*e))","A",0
673,1,138,0,0.672726," ","integrate((e*x+d)^(5/2)*(g*x+f)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{4 \, {\left(3 \, c d x + 2 \, a e\right)} f g}{3 \, {\left(c^{3} d^{3} x + a c^{2} d^{2} e\right)} \sqrt{c d x + a e}} + \frac{2 \, {\left(3 \, c^{2} d^{2} x^{2} + 12 \, a c d e x + 8 \, a^{2} e^{2}\right)} g^{2}}{3 \, {\left(c^{4} d^{4} x + a c^{3} d^{3} e\right)} \sqrt{c d x + a e}} - \frac{2 \, f^{2}}{3 \, {\left(c^{2} d^{2} x + a c d e\right)} \sqrt{c d x + a e}}"," ",0,"-4/3*(3*c*d*x + 2*a*e)*f*g/((c^3*d^3*x + a*c^2*d^2*e)*sqrt(c*d*x + a*e)) + 2/3*(3*c^2*d^2*x^2 + 12*a*c*d*e*x + 8*a^2*e^2)*g^2/((c^4*d^4*x + a*c^3*d^3*e)*sqrt(c*d*x + a*e)) - 2/3*f^2/((c^2*d^2*x + a*c*d*e)*sqrt(c*d*x + a*e))","A",0
674,1,73,0,0.601638," ","integrate((e*x+d)^(5/2)*(g*x+f)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, c d x + 2 \, a e\right)} g}{3 \, {\left(c^{3} d^{3} x + a c^{2} d^{2} e\right)} \sqrt{c d x + a e}} - \frac{2 \, f}{3 \, {\left(c^{2} d^{2} x + a c d e\right)} \sqrt{c d x + a e}}"," ",0,"-2/3*(3*c*d*x + 2*a*e)*g/((c^3*d^3*x + a*c^2*d^2*e)*sqrt(c*d*x + a*e)) - 2/3*f/((c^2*d^2*x + a*c*d*e)*sqrt(c*d*x + a*e))","A",0
675,1,28,0,0.518837," ","integrate((e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(c^{2} d^{2} x + a c d e\right)} \sqrt{c d x + a e}}"," ",0,"-2/3/((c^2*d^2*x + a*c*d*e)*sqrt(c*d*x + a*e))","A",0
676,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(g*x+f)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*(g*x + f)), x)","F",0
677,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(g*x+f)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*(g*x + f)^2), x)","F",0
678,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(g*x+f)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*(g*x + f)^3), x)","F",0
679,1,320,0,0.708466," ","integrate((g*x+f)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c d x + a e\right)}^{\frac{3}{2}} f^{4}}{3 \, c d} + \frac{8 \, {\left(3 \, c^{2} d^{2} x^{2} + a c d e x - 2 \, a^{2} e^{2}\right)} \sqrt{c d x + a e} f^{3} g}{15 \, c^{2} d^{2}} + \frac{4 \, {\left(15 \, c^{3} d^{3} x^{3} + 3 \, a c^{2} d^{2} e x^{2} - 4 \, a^{2} c d e^{2} x + 8 \, a^{3} e^{3}\right)} \sqrt{c d x + a e} f^{2} g^{2}}{35 \, c^{3} d^{3}} + \frac{8 \, {\left(35 \, c^{4} d^{4} x^{4} + 5 \, a c^{3} d^{3} e x^{3} - 6 \, a^{2} c^{2} d^{2} e^{2} x^{2} + 8 \, a^{3} c d e^{3} x - 16 \, a^{4} e^{4}\right)} \sqrt{c d x + a e} f g^{3}}{315 \, c^{4} d^{4}} + \frac{2 \, {\left(315 \, c^{5} d^{5} x^{5} + 35 \, a c^{4} d^{4} e x^{4} - 40 \, a^{2} c^{3} d^{3} e^{2} x^{3} + 48 \, a^{3} c^{2} d^{2} e^{3} x^{2} - 64 \, a^{4} c d e^{4} x + 128 \, a^{5} e^{5}\right)} \sqrt{c d x + a e} g^{4}}{3465 \, c^{5} d^{5}}"," ",0,"2/3*(c*d*x + a*e)^(3/2)*f^4/(c*d) + 8/15*(3*c^2*d^2*x^2 + a*c*d*e*x - 2*a^2*e^2)*sqrt(c*d*x + a*e)*f^3*g/(c^2*d^2) + 4/35*(15*c^3*d^3*x^3 + 3*a*c^2*d^2*e*x^2 - 4*a^2*c*d*e^2*x + 8*a^3*e^3)*sqrt(c*d*x + a*e)*f^2*g^2/(c^3*d^3) + 8/315*(35*c^4*d^4*x^4 + 5*a*c^3*d^3*e*x^3 - 6*a^2*c^2*d^2*e^2*x^2 + 8*a^3*c*d*e^3*x - 16*a^4*e^4)*sqrt(c*d*x + a*e)*f*g^3/(c^4*d^4) + 2/3465*(315*c^5*d^5*x^5 + 35*a*c^4*d^4*e*x^4 - 40*a^2*c^3*d^3*e^2*x^3 + 48*a^3*c^2*d^2*e^3*x^2 - 64*a^4*c*d*e^4*x + 128*a^5*e^5)*sqrt(c*d*x + a*e)*g^4/(c^5*d^5)","A",0
680,1,218,0,0.645730," ","integrate((g*x+f)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c d x + a e\right)}^{\frac{3}{2}} f^{3}}{3 \, c d} + \frac{2 \, {\left(3 \, c^{2} d^{2} x^{2} + a c d e x - 2 \, a^{2} e^{2}\right)} \sqrt{c d x + a e} f^{2} g}{5 \, c^{2} d^{2}} + \frac{2 \, {\left(15 \, c^{3} d^{3} x^{3} + 3 \, a c^{2} d^{2} e x^{2} - 4 \, a^{2} c d e^{2} x + 8 \, a^{3} e^{3}\right)} \sqrt{c d x + a e} f g^{2}}{35 \, c^{3} d^{3}} + \frac{2 \, {\left(35 \, c^{4} d^{4} x^{4} + 5 \, a c^{3} d^{3} e x^{3} - 6 \, a^{2} c^{2} d^{2} e^{2} x^{2} + 8 \, a^{3} c d e^{3} x - 16 \, a^{4} e^{4}\right)} \sqrt{c d x + a e} g^{3}}{315 \, c^{4} d^{4}}"," ",0,"2/3*(c*d*x + a*e)^(3/2)*f^3/(c*d) + 2/5*(3*c^2*d^2*x^2 + a*c*d*e*x - 2*a^2*e^2)*sqrt(c*d*x + a*e)*f^2*g/(c^2*d^2) + 2/35*(15*c^3*d^3*x^3 + 3*a*c^2*d^2*e*x^2 - 4*a^2*c*d*e^2*x + 8*a^3*e^3)*sqrt(c*d*x + a*e)*f*g^2/(c^3*d^3) + 2/315*(35*c^4*d^4*x^4 + 5*a*c^3*d^3*e*x^3 - 6*a^2*c^2*d^2*e^2*x^2 + 8*a^3*c*d*e^3*x - 16*a^4*e^4)*sqrt(c*d*x + a*e)*g^3/(c^4*d^4)","A",0
681,1,133,0,0.591989," ","integrate((g*x+f)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c d x + a e\right)}^{\frac{3}{2}} f^{2}}{3 \, c d} + \frac{4 \, {\left(3 \, c^{2} d^{2} x^{2} + a c d e x - 2 \, a^{2} e^{2}\right)} \sqrt{c d x + a e} f g}{15 \, c^{2} d^{2}} + \frac{2 \, {\left(15 \, c^{3} d^{3} x^{3} + 3 \, a c^{2} d^{2} e x^{2} - 4 \, a^{2} c d e^{2} x + 8 \, a^{3} e^{3}\right)} \sqrt{c d x + a e} g^{2}}{105 \, c^{3} d^{3}}"," ",0,"2/3*(c*d*x + a*e)^(3/2)*f^2/(c*d) + 4/15*(3*c^2*d^2*x^2 + a*c*d*e*x - 2*a^2*e^2)*sqrt(c*d*x + a*e)*f*g/(c^2*d^2) + 2/105*(15*c^3*d^3*x^3 + 3*a*c^2*d^2*e*x^2 - 4*a^2*c*d*e^2*x + 8*a^3*e^3)*sqrt(c*d*x + a*e)*g^2/(c^3*d^3)","A",0
682,1,65,0,0.540788," ","integrate((g*x+f)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c d x + a e\right)}^{\frac{3}{2}} f}{3 \, c d} + \frac{2 \, {\left(3 \, c^{2} d^{2} x^{2} + a c d e x - 2 \, a^{2} e^{2}\right)} \sqrt{c d x + a e} g}{15 \, c^{2} d^{2}}"," ",0,"2/3*(c*d*x + a*e)^(3/2)*f/(c*d) + 2/15*(3*c^2*d^2*x^2 + a*c*d*e*x - 2*a^2*e^2)*sqrt(c*d*x + a*e)*g/(c^2*d^2)","A",0
683,1,18,0,0.493121," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c d x + a e\right)}^{\frac{3}{2}}}{3 \, c d}"," ",0,"2/3*(c*d*x + a*e)^(3/2)/(c*d)","A",0
684,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)), x)","F",0
685,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)^2), x)","F",0
686,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)^3), x)","F",0
687,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^4/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}^{4}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)^4), x)","F",0
688,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^5/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}^{5}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)^5), x)","F",0
689,1,413,0,0.741324," ","integrate((g*x+f)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} x^{2} + 2 \, a c d e x + a^{2} e^{2}\right)} \sqrt{c d x + a e} f^{4}}{5 \, c d} + \frac{8 \, {\left(5 \, c^{3} d^{3} x^{3} + 8 \, a c^{2} d^{2} e x^{2} + a^{2} c d e^{2} x - 2 \, a^{3} e^{3}\right)} \sqrt{c d x + a e} f^{3} g}{35 \, c^{2} d^{2}} + \frac{4 \, {\left(35 \, c^{4} d^{4} x^{4} + 50 \, a c^{3} d^{3} e x^{3} + 3 \, a^{2} c^{2} d^{2} e^{2} x^{2} - 4 \, a^{3} c d e^{3} x + 8 \, a^{4} e^{4}\right)} \sqrt{c d x + a e} f^{2} g^{2}}{105 \, c^{3} d^{3}} + \frac{8 \, {\left(105 \, c^{5} d^{5} x^{5} + 140 \, a c^{4} d^{4} e x^{4} + 5 \, a^{2} c^{3} d^{3} e^{2} x^{3} - 6 \, a^{3} c^{2} d^{2} e^{3} x^{2} + 8 \, a^{4} c d e^{4} x - 16 \, a^{5} e^{5}\right)} \sqrt{c d x + a e} f g^{3}}{1155 \, c^{4} d^{4}} + \frac{2 \, {\left(1155 \, c^{6} d^{6} x^{6} + 1470 \, a c^{5} d^{5} e x^{5} + 35 \, a^{2} c^{4} d^{4} e^{2} x^{4} - 40 \, a^{3} c^{3} d^{3} e^{3} x^{3} + 48 \, a^{4} c^{2} d^{2} e^{4} x^{2} - 64 \, a^{5} c d e^{5} x + 128 \, a^{6} e^{6}\right)} \sqrt{c d x + a e} g^{4}}{15015 \, c^{5} d^{5}}"," ",0,"2/5*(c^2*d^2*x^2 + 2*a*c*d*e*x + a^2*e^2)*sqrt(c*d*x + a*e)*f^4/(c*d) + 8/35*(5*c^3*d^3*x^3 + 8*a*c^2*d^2*e*x^2 + a^2*c*d*e^2*x - 2*a^3*e^3)*sqrt(c*d*x + a*e)*f^3*g/(c^2*d^2) + 4/105*(35*c^4*d^4*x^4 + 50*a*c^3*d^3*e*x^3 + 3*a^2*c^2*d^2*e^2*x^2 - 4*a^3*c*d*e^3*x + 8*a^4*e^4)*sqrt(c*d*x + a*e)*f^2*g^2/(c^3*d^3) + 8/1155*(105*c^5*d^5*x^5 + 140*a*c^4*d^4*e*x^4 + 5*a^2*c^3*d^3*e^2*x^3 - 6*a^3*c^2*d^2*e^3*x^2 + 8*a^4*c*d*e^4*x - 16*a^5*e^5)*sqrt(c*d*x + a*e)*f*g^3/(c^4*d^4) + 2/15015*(1155*c^6*d^6*x^6 + 1470*a*c^5*d^5*e*x^5 + 35*a^2*c^4*d^4*e^2*x^4 - 40*a^3*c^3*d^3*e^3*x^3 + 48*a^4*c^2*d^2*e^4*x^2 - 64*a^5*c*d*e^5*x + 128*a^6*e^6)*sqrt(c*d*x + a*e)*g^4/(c^5*d^5)","A",0
690,1,294,0,0.687343," ","integrate((g*x+f)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} x^{2} + 2 \, a c d e x + a^{2} e^{2}\right)} \sqrt{c d x + a e} f^{3}}{5 \, c d} + \frac{6 \, {\left(5 \, c^{3} d^{3} x^{3} + 8 \, a c^{2} d^{2} e x^{2} + a^{2} c d e^{2} x - 2 \, a^{3} e^{3}\right)} \sqrt{c d x + a e} f^{2} g}{35 \, c^{2} d^{2}} + \frac{2 \, {\left(35 \, c^{4} d^{4} x^{4} + 50 \, a c^{3} d^{3} e x^{3} + 3 \, a^{2} c^{2} d^{2} e^{2} x^{2} - 4 \, a^{3} c d e^{3} x + 8 \, a^{4} e^{4}\right)} \sqrt{c d x + a e} f g^{2}}{105 \, c^{3} d^{3}} + \frac{2 \, {\left(105 \, c^{5} d^{5} x^{5} + 140 \, a c^{4} d^{4} e x^{4} + 5 \, a^{2} c^{3} d^{3} e^{2} x^{3} - 6 \, a^{3} c^{2} d^{2} e^{3} x^{2} + 8 \, a^{4} c d e^{4} x - 16 \, a^{5} e^{5}\right)} \sqrt{c d x + a e} g^{3}}{1155 \, c^{4} d^{4}}"," ",0,"2/5*(c^2*d^2*x^2 + 2*a*c*d*e*x + a^2*e^2)*sqrt(c*d*x + a*e)*f^3/(c*d) + 6/35*(5*c^3*d^3*x^3 + 8*a*c^2*d^2*e*x^2 + a^2*c*d*e^2*x - 2*a^3*e^3)*sqrt(c*d*x + a*e)*f^2*g/(c^2*d^2) + 2/105*(35*c^4*d^4*x^4 + 50*a*c^3*d^3*e*x^3 + 3*a^2*c^2*d^2*e^2*x^2 - 4*a^3*c*d*e^3*x + 8*a^4*e^4)*sqrt(c*d*x + a*e)*f*g^2/(c^3*d^3) + 2/1155*(105*c^5*d^5*x^5 + 140*a*c^4*d^4*e*x^4 + 5*a^2*c^3*d^3*e^2*x^3 - 6*a^3*c^2*d^2*e^3*x^2 + 8*a^4*c*d*e^4*x - 16*a^5*e^5)*sqrt(c*d*x + a*e)*g^3/(c^4*d^4)","A",0
691,1,192,0,0.624642," ","integrate((g*x+f)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} x^{2} + 2 \, a c d e x + a^{2} e^{2}\right)} \sqrt{c d x + a e} f^{2}}{5 \, c d} + \frac{4 \, {\left(5 \, c^{3} d^{3} x^{3} + 8 \, a c^{2} d^{2} e x^{2} + a^{2} c d e^{2} x - 2 \, a^{3} e^{3}\right)} \sqrt{c d x + a e} f g}{35 \, c^{2} d^{2}} + \frac{2 \, {\left(35 \, c^{4} d^{4} x^{4} + 50 \, a c^{3} d^{3} e x^{3} + 3 \, a^{2} c^{2} d^{2} e^{2} x^{2} - 4 \, a^{3} c d e^{3} x + 8 \, a^{4} e^{4}\right)} \sqrt{c d x + a e} g^{2}}{315 \, c^{3} d^{3}}"," ",0,"2/5*(c^2*d^2*x^2 + 2*a*c*d*e*x + a^2*e^2)*sqrt(c*d*x + a*e)*f^2/(c*d) + 4/35*(5*c^3*d^3*x^3 + 8*a*c^2*d^2*e*x^2 + a^2*c*d*e^2*x - 2*a^3*e^3)*sqrt(c*d*x + a*e)*f*g/(c^2*d^2) + 2/315*(35*c^4*d^4*x^4 + 50*a*c^3*d^3*e*x^3 + 3*a^2*c^2*d^2*e^2*x^2 - 4*a^3*c*d*e^3*x + 8*a^4*e^4)*sqrt(c*d*x + a*e)*g^2/(c^3*d^3)","A",0
692,1,107,0,0.571108," ","integrate((g*x+f)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} x^{2} + 2 \, a c d e x + a^{2} e^{2}\right)} \sqrt{c d x + a e} f}{5 \, c d} + \frac{2 \, {\left(5 \, c^{3} d^{3} x^{3} + 8 \, a c^{2} d^{2} e x^{2} + a^{2} c d e^{2} x - 2 \, a^{3} e^{3}\right)} \sqrt{c d x + a e} g}{35 \, c^{2} d^{2}}"," ",0,"2/5*(c^2*d^2*x^2 + 2*a*c*d*e*x + a^2*e^2)*sqrt(c*d*x + a*e)*f/(c*d) + 2/35*(5*c^3*d^3*x^3 + 8*a*c^2*d^2*e*x^2 + a^2*c*d*e^2*x - 2*a^3*e^3)*sqrt(c*d*x + a*e)*g/(c^2*d^2)","A",0
693,1,43,0,0.505108," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} x^{2} + 2 \, a c d e x + a^{2} e^{2}\right)} \sqrt{c d x + a e}}{5 \, c d}"," ",0,"2/5*(c^2*d^2*x^2 + 2*a*c*d*e*x + a^2*e^2)*sqrt(c*d*x + a*e)/(c*d)","A",0
694,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)/(g*x+f),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)^(3/2)*(g*x + f)), x)","F",0
695,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)^(3/2)*(g*x + f)^2), x)","F",0
696,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)/(g*x+f)^3,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)^(3/2)*(g*x + f)^3), x)","F",0
697,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)/(g*x+f)^4,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{4}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)^(3/2)*(g*x + f)^4), x)","F",0
698,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)/(g*x+f)^5,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{5}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)^(3/2)*(g*x + f)^5), x)","F",0
699,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)/(g*x+f)^6,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{6}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)^(3/2)*(g*x + f)^6), x)","F",0
700,1,498,0,0.761430," ","integrate((g*x+f)^4*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{3} d^{3} x^{3} + 3 \, a c^{2} d^{2} e x^{2} + 3 \, a^{2} c d e^{2} x + a^{3} e^{3}\right)} \sqrt{c d x + a e} f^{4}}{7 \, c d} + \frac{8 \, {\left(7 \, c^{4} d^{4} x^{4} + 19 \, a c^{3} d^{3} e x^{3} + 15 \, a^{2} c^{2} d^{2} e^{2} x^{2} + a^{3} c d e^{3} x - 2 \, a^{4} e^{4}\right)} \sqrt{c d x + a e} f^{3} g}{63 \, c^{2} d^{2}} + \frac{4 \, {\left(63 \, c^{5} d^{5} x^{5} + 161 \, a c^{4} d^{4} e x^{4} + 113 \, a^{2} c^{3} d^{3} e^{2} x^{3} + 3 \, a^{3} c^{2} d^{2} e^{3} x^{2} - 4 \, a^{4} c d e^{4} x + 8 \, a^{5} e^{5}\right)} \sqrt{c d x + a e} f^{2} g^{2}}{231 \, c^{3} d^{3}} + \frac{8 \, {\left(231 \, c^{6} d^{6} x^{6} + 567 \, a c^{5} d^{5} e x^{5} + 371 \, a^{2} c^{4} d^{4} e^{2} x^{4} + 5 \, a^{3} c^{3} d^{3} e^{3} x^{3} - 6 \, a^{4} c^{2} d^{2} e^{4} x^{2} + 8 \, a^{5} c d e^{5} x - 16 \, a^{6} e^{6}\right)} \sqrt{c d x + a e} f g^{3}}{3003 \, c^{4} d^{4}} + \frac{2 \, {\left(3003 \, c^{7} d^{7} x^{7} + 7161 \, a c^{6} d^{6} e x^{6} + 4473 \, a^{2} c^{5} d^{5} e^{2} x^{5} + 35 \, a^{3} c^{4} d^{4} e^{3} x^{4} - 40 \, a^{4} c^{3} d^{3} e^{4} x^{3} + 48 \, a^{5} c^{2} d^{2} e^{5} x^{2} - 64 \, a^{6} c d e^{6} x + 128 \, a^{7} e^{7}\right)} \sqrt{c d x + a e} g^{4}}{45045 \, c^{5} d^{5}}"," ",0,"2/7*(c^3*d^3*x^3 + 3*a*c^2*d^2*e*x^2 + 3*a^2*c*d*e^2*x + a^3*e^3)*sqrt(c*d*x + a*e)*f^4/(c*d) + 8/63*(7*c^4*d^4*x^4 + 19*a*c^3*d^3*e*x^3 + 15*a^2*c^2*d^2*e^2*x^2 + a^3*c*d*e^3*x - 2*a^4*e^4)*sqrt(c*d*x + a*e)*f^3*g/(c^2*d^2) + 4/231*(63*c^5*d^5*x^5 + 161*a*c^4*d^4*e*x^4 + 113*a^2*c^3*d^3*e^2*x^3 + 3*a^3*c^2*d^2*e^3*x^2 - 4*a^4*c*d*e^4*x + 8*a^5*e^5)*sqrt(c*d*x + a*e)*f^2*g^2/(c^3*d^3) + 8/3003*(231*c^6*d^6*x^6 + 567*a*c^5*d^5*e*x^5 + 371*a^2*c^4*d^4*e^2*x^4 + 5*a^3*c^3*d^3*e^3*x^3 - 6*a^4*c^2*d^2*e^4*x^2 + 8*a^5*c*d*e^5*x - 16*a^6*e^6)*sqrt(c*d*x + a*e)*f*g^3/(c^4*d^4) + 2/45045*(3003*c^7*d^7*x^7 + 7161*a*c^6*d^6*e*x^6 + 4473*a^2*c^5*d^5*e^2*x^5 + 35*a^3*c^4*d^4*e^3*x^4 - 40*a^4*c^3*d^3*e^4*x^3 + 48*a^5*c^2*d^2*e^5*x^2 - 64*a^6*c*d*e^6*x + 128*a^7*e^7)*sqrt(c*d*x + a*e)*g^4/(c^5*d^5)","A",0
701,1,362,0,0.697337," ","integrate((g*x+f)^3*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{3} d^{3} x^{3} + 3 \, a c^{2} d^{2} e x^{2} + 3 \, a^{2} c d e^{2} x + a^{3} e^{3}\right)} \sqrt{c d x + a e} f^{3}}{7 \, c d} + \frac{2 \, {\left(7 \, c^{4} d^{4} x^{4} + 19 \, a c^{3} d^{3} e x^{3} + 15 \, a^{2} c^{2} d^{2} e^{2} x^{2} + a^{3} c d e^{3} x - 2 \, a^{4} e^{4}\right)} \sqrt{c d x + a e} f^{2} g}{21 \, c^{2} d^{2}} + \frac{2 \, {\left(63 \, c^{5} d^{5} x^{5} + 161 \, a c^{4} d^{4} e x^{4} + 113 \, a^{2} c^{3} d^{3} e^{2} x^{3} + 3 \, a^{3} c^{2} d^{2} e^{3} x^{2} - 4 \, a^{4} c d e^{4} x + 8 \, a^{5} e^{5}\right)} \sqrt{c d x + a e} f g^{2}}{231 \, c^{3} d^{3}} + \frac{2 \, {\left(231 \, c^{6} d^{6} x^{6} + 567 \, a c^{5} d^{5} e x^{5} + 371 \, a^{2} c^{4} d^{4} e^{2} x^{4} + 5 \, a^{3} c^{3} d^{3} e^{3} x^{3} - 6 \, a^{4} c^{2} d^{2} e^{4} x^{2} + 8 \, a^{5} c d e^{5} x - 16 \, a^{6} e^{6}\right)} \sqrt{c d x + a e} g^{3}}{3003 \, c^{4} d^{4}}"," ",0,"2/7*(c^3*d^3*x^3 + 3*a*c^2*d^2*e*x^2 + 3*a^2*c*d*e^2*x + a^3*e^3)*sqrt(c*d*x + a*e)*f^3/(c*d) + 2/21*(7*c^4*d^4*x^4 + 19*a*c^3*d^3*e*x^3 + 15*a^2*c^2*d^2*e^2*x^2 + a^3*c*d*e^3*x - 2*a^4*e^4)*sqrt(c*d*x + a*e)*f^2*g/(c^2*d^2) + 2/231*(63*c^5*d^5*x^5 + 161*a*c^4*d^4*e*x^4 + 113*a^2*c^3*d^3*e^2*x^3 + 3*a^3*c^2*d^2*e^3*x^2 - 4*a^4*c*d*e^4*x + 8*a^5*e^5)*sqrt(c*d*x + a*e)*f*g^2/(c^3*d^3) + 2/3003*(231*c^6*d^6*x^6 + 567*a*c^5*d^5*e*x^5 + 371*a^2*c^4*d^4*e^2*x^4 + 5*a^3*c^3*d^3*e^3*x^3 - 6*a^4*c^2*d^2*e^4*x^2 + 8*a^5*c*d*e^5*x - 16*a^6*e^6)*sqrt(c*d*x + a*e)*g^3/(c^4*d^4)","A",0
702,1,243,0,0.636846," ","integrate((g*x+f)^2*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{3} d^{3} x^{3} + 3 \, a c^{2} d^{2} e x^{2} + 3 \, a^{2} c d e^{2} x + a^{3} e^{3}\right)} \sqrt{c d x + a e} f^{2}}{7 \, c d} + \frac{4 \, {\left(7 \, c^{4} d^{4} x^{4} + 19 \, a c^{3} d^{3} e x^{3} + 15 \, a^{2} c^{2} d^{2} e^{2} x^{2} + a^{3} c d e^{3} x - 2 \, a^{4} e^{4}\right)} \sqrt{c d x + a e} f g}{63 \, c^{2} d^{2}} + \frac{2 \, {\left(63 \, c^{5} d^{5} x^{5} + 161 \, a c^{4} d^{4} e x^{4} + 113 \, a^{2} c^{3} d^{3} e^{2} x^{3} + 3 \, a^{3} c^{2} d^{2} e^{3} x^{2} - 4 \, a^{4} c d e^{4} x + 8 \, a^{5} e^{5}\right)} \sqrt{c d x + a e} g^{2}}{693 \, c^{3} d^{3}}"," ",0,"2/7*(c^3*d^3*x^3 + 3*a*c^2*d^2*e*x^2 + 3*a^2*c*d*e^2*x + a^3*e^3)*sqrt(c*d*x + a*e)*f^2/(c*d) + 4/63*(7*c^4*d^4*x^4 + 19*a*c^3*d^3*e*x^3 + 15*a^2*c^2*d^2*e^2*x^2 + a^3*c*d*e^3*x - 2*a^4*e^4)*sqrt(c*d*x + a*e)*f*g/(c^2*d^2) + 2/693*(63*c^5*d^5*x^5 + 161*a*c^4*d^4*e*x^4 + 113*a^2*c^3*d^3*e^2*x^3 + 3*a^3*c^2*d^2*e^3*x^2 - 4*a^4*c*d*e^4*x + 8*a^5*e^5)*sqrt(c*d*x + a*e)*g^2/(c^3*d^3)","A",0
703,1,141,0,0.567178," ","integrate((g*x+f)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{3} d^{3} x^{3} + 3 \, a c^{2} d^{2} e x^{2} + 3 \, a^{2} c d e^{2} x + a^{3} e^{3}\right)} \sqrt{c d x + a e} f}{7 \, c d} + \frac{2 \, {\left(7 \, c^{4} d^{4} x^{4} + 19 \, a c^{3} d^{3} e x^{3} + 15 \, a^{2} c^{2} d^{2} e^{2} x^{2} + a^{3} c d e^{3} x - 2 \, a^{4} e^{4}\right)} \sqrt{c d x + a e} g}{63 \, c^{2} d^{2}}"," ",0,"2/7*(c^3*d^3*x^3 + 3*a*c^2*d^2*e*x^2 + 3*a^2*c*d*e^2*x + a^3*e^3)*sqrt(c*d*x + a*e)*f/(c*d) + 2/63*(7*c^4*d^4*x^4 + 19*a*c^3*d^3*e*x^3 + 15*a^2*c^2*d^2*e^2*x^2 + a^3*c*d*e^3*x - 2*a^4*e^4)*sqrt(c*d*x + a*e)*g/(c^2*d^2)","A",0
704,1,60,0,0.507595," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{3} d^{3} x^{3} + 3 \, a c^{2} d^{2} e x^{2} + 3 \, a^{2} c d e^{2} x + a^{3} e^{3}\right)} \sqrt{c d x + a e}}{7 \, c d}"," ",0,"2/7*(c^3*d^3*x^3 + 3*a*c^2*d^2*e*x^2 + 3*a^2*c*d*e^2*x + a^3*e^3)*sqrt(c*d*x + a*e)/(c*d)","A",0
705,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)), x)","F",0
706,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^2), x)","F",0
707,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^3,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^3), x)","F",0
708,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^4,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{4}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^4), x)","F",0
709,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^5,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{5}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^5), x)","F",0
710,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^6,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{6}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^6), x)","F",0
711,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^7,x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{7}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^7), x)","F",0
712,0,0,0,0.000000," ","integrate((g*x+f)^(5/2)*(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} {\left(g x + f\right)}^{\frac{5}{2}}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(g*x + f)^(5/2)/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
713,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} {\left(g x + f\right)}^{\frac{3}{2}}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(g*x + f)^(3/2)/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
714,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} \sqrt{g x + f}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*sqrt(g*x + f)/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
715,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*sqrt(g*x + f)), x)","F",0
716,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^(3/2)), x)","F",0
717,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^(5/2)), x)","F",0
718,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^(7/2)), x)","F",0
719,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^(9/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^(9/2)), x)","F",0
720,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(g*x+f)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{\frac{5}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(g*x + f)^(5/2)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2), x)","F",0
721,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(g*x+f)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(g*x + f)^(3/2)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2), x)","F",0
722,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(g*x+f)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} \sqrt{g x + f}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*sqrt(g*x + f)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2), x)","F",0
723,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*sqrt(g*x + f)), x)","F",0
724,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(g*x + f)^(3/2)), x)","F",0
725,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(g*x + f)^(5/2)), x)","F",0
726,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^(7/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(g*x + f)^(7/2)), x)","F",0
727,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)*(g*x+f)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{5}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)*(g*x + f)^(5/2)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2), x)","F",0
728,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)*(g*x+f)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{3}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)*(g*x + f)^(3/2)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2), x)","F",0
729,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)*(g*x+f)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}} \sqrt{g x + f}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)*sqrt(g*x + f)/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2), x)","F",0
730,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(g*x+f)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*sqrt(g*x + f)), x)","F",0
731,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(g*x+f)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*(g*x + f)^(3/2)), x)","F",0
732,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(g*x+f)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)/((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*(g*x + f)^(5/2)), x)","F",0
733,0,0,0,0.000000," ","integrate((g*x+f)^(5/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{\frac{5}{2}}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^(5/2)/sqrt(e*x + d), x)","F",0
734,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{\frac{3}{2}}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^(3/2)/sqrt(e*x + d), x)","F",0
735,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} \sqrt{g x + f}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*sqrt(g*x + f)/sqrt(e*x + d), x)","F",0
736,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*sqrt(g*x + f)), x)","F",0
737,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^(3/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)^(3/2)), x)","F",0
738,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^(5/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)^(5/2)), x)","F",0
739,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^(7/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)^(7/2)), x)","F",0
740,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^(9/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)^(9/2)), x)","F",0
741,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(g*x+f)^(11/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d} {\left(g x + f\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/(sqrt(e*x + d)*(g*x + f)^(11/2)), x)","F",0
742,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(g*x + f)^(3/2)/(e*x + d)^(3/2), x)","F",0
743,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} \sqrt{g x + f}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*sqrt(g*x + f)/(e*x + d)^(3/2), x)","F",0
744,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)^(3/2)*sqrt(g*x + f)), x)","F",0
745,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)/((e*x + d)^(3/2)*(g*x + f)^(3/2)), x)","F",0
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755,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^(5/2)), x)","F",0
756,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^(7/2)), x)","F",0
757,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^(9/2)), x)","F",0
758,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^(11/2)), x)","F",0
759,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^(13/2)), x)","F",0
760,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2)/(g*x+f)^(15/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)/((e*x + d)^(5/2)*(g*x + f)^(15/2)), x)","F",0
761,0,0,0,0.000000," ","integrate((e*x+d)^(5/2)*(g*x+f)^n/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{n}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(5/2)*(g*x + f)^n/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2), x)","F",0
762,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(g*x+f)^n/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{n}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(g*x + f)^n/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2), x)","F",0
763,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(g*x+f)^n/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} {\left(g x + f\right)}^{n}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(g*x + f)^n/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
764,0,0,0,0.000000," ","integrate((g*x+f)^n*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{n}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^n/sqrt(e*x + d), x)","F",0
765,0,0,0,0.000000," ","integrate((g*x+f)^n*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{n}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(3/2)*(g*x + f)^n/(e*x + d)^(3/2), x)","F",0
766,0,0,0,0.000000," ","integrate((g*x+f)^n*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{\frac{5}{2}} {\left(g x + f\right)}^{n}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^(5/2)*(g*x + f)^n/(e*x + d)^(5/2), x)","F",0
767,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)^n/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m} {\left(g x + f\right)}^{n}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{m}}\,{d x}"," ",0,"integrate((e*x + d)^m*(g*x + f)^n/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m, x)","F",0
768,1,331,0,0.606402," ","integrate((e*x+d)^m*(g*x+f)^3/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","-\frac{{\left(c d x + a e\right)} f^{3}}{{\left(c d x + a e\right)}^{m} c d {\left(m - 1\right)}} - \frac{3 \, {\left(c^{2} d^{2} {\left(m - 1\right)} x^{2} + a c d e m x + a^{2} e^{2}\right)} f^{2} g}{{\left(m^{2} - 3 \, m + 2\right)} {\left(c d x + a e\right)}^{m} c^{2} d^{2}} - \frac{3 \, {\left({\left(m^{2} - 3 \, m + 2\right)} c^{3} d^{3} x^{3} + {\left(m^{2} - m\right)} a c^{2} d^{2} e x^{2} + 2 \, a^{2} c d e^{2} m x + 2 \, a^{3} e^{3}\right)} f g^{2}}{{\left(m^{3} - 6 \, m^{2} + 11 \, m - 6\right)} {\left(c d x + a e\right)}^{m} c^{3} d^{3}} - \frac{{\left({\left(m^{3} - 6 \, m^{2} + 11 \, m - 6\right)} c^{4} d^{4} x^{4} + {\left(m^{3} - 3 \, m^{2} + 2 \, m\right)} a c^{3} d^{3} e x^{3} + 3 \, {\left(m^{2} - m\right)} a^{2} c^{2} d^{2} e^{2} x^{2} + 6 \, a^{3} c d e^{3} m x + 6 \, a^{4} e^{4}\right)} g^{3}}{{\left(m^{4} - 10 \, m^{3} + 35 \, m^{2} - 50 \, m + 24\right)} {\left(c d x + a e\right)}^{m} c^{4} d^{4}}"," ",0,"-(c*d*x + a*e)*f^3/((c*d*x + a*e)^m*c*d*(m - 1)) - 3*(c^2*d^2*(m - 1)*x^2 + a*c*d*e*m*x + a^2*e^2)*f^2*g/((m^2 - 3*m + 2)*(c*d*x + a*e)^m*c^2*d^2) - 3*((m^2 - 3*m + 2)*c^3*d^3*x^3 + (m^2 - m)*a*c^2*d^2*e*x^2 + 2*a^2*c*d*e^2*m*x + 2*a^3*e^3)*f*g^2/((m^3 - 6*m^2 + 11*m - 6)*(c*d*x + a*e)^m*c^3*d^3) - ((m^3 - 6*m^2 + 11*m - 6)*c^4*d^4*x^4 + (m^3 - 3*m^2 + 2*m)*a*c^3*d^3*e*x^3 + 3*(m^2 - m)*a^2*c^2*d^2*e^2*x^2 + 6*a^3*c*d*e^3*m*x + 6*a^4*e^4)*g^3/((m^4 - 10*m^3 + 35*m^2 - 50*m + 24)*(c*d*x + a*e)^m*c^4*d^4)","A",0
769,1,193,0,0.555674," ","integrate((e*x+d)^m*(g*x+f)^2/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","-\frac{{\left(c d x + a e\right)} f^{2}}{{\left(c d x + a e\right)}^{m} c d {\left(m - 1\right)}} - \frac{2 \, {\left(c^{2} d^{2} {\left(m - 1\right)} x^{2} + a c d e m x + a^{2} e^{2}\right)} f g}{{\left(m^{2} - 3 \, m + 2\right)} {\left(c d x + a e\right)}^{m} c^{2} d^{2}} - \frac{{\left({\left(m^{2} - 3 \, m + 2\right)} c^{3} d^{3} x^{3} + {\left(m^{2} - m\right)} a c^{2} d^{2} e x^{2} + 2 \, a^{2} c d e^{2} m x + 2 \, a^{3} e^{3}\right)} g^{2}}{{\left(m^{3} - 6 \, m^{2} + 11 \, m - 6\right)} {\left(c d x + a e\right)}^{m} c^{3} d^{3}}"," ",0,"-(c*d*x + a*e)*f^2/((c*d*x + a*e)^m*c*d*(m - 1)) - 2*(c^2*d^2*(m - 1)*x^2 + a*c*d*e*m*x + a^2*e^2)*f*g/((m^2 - 3*m + 2)*(c*d*x + a*e)^m*c^2*d^2) - ((m^2 - 3*m + 2)*c^3*d^3*x^3 + (m^2 - m)*a*c^2*d^2*e*x^2 + 2*a^2*c*d*e^2*m*x + 2*a^3*e^3)*g^2/((m^3 - 6*m^2 + 11*m - 6)*(c*d*x + a*e)^m*c^3*d^3)","A",0
770,1,94,0,0.517118," ","integrate((e*x+d)^m*(g*x+f)/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","-\frac{{\left(c d x + a e\right)} f}{{\left(c d x + a e\right)}^{m} c d {\left(m - 1\right)}} - \frac{{\left(c^{2} d^{2} {\left(m - 1\right)} x^{2} + a c d e m x + a^{2} e^{2}\right)} g}{{\left(m^{2} - 3 \, m + 2\right)} {\left(c d x + a e\right)}^{m} c^{2} d^{2}}"," ",0,"-(c*d*x + a*e)*f/((c*d*x + a*e)^m*c*d*(m - 1)) - (c^2*d^2*(m - 1)*x^2 + a*c*d*e*m*x + a^2*e^2)*g/((m^2 - 3*m + 2)*(c*d*x + a*e)^m*c^2*d^2)","A",0
771,1,33,0,0.473045," ","integrate((e*x+d)^m/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","-\frac{c d x + a e}{{\left(c d x + a e\right)}^{m} c d {\left(m - 1\right)}}"," ",0,"-(c*d*x + a*e)/((c*d*x + a*e)^m*c*d*(m - 1))","A",0
772,0,0,0,0.000000," ","integrate((e*x+d)^m/(g*x+f)/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(g x + f\right)} {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{m}}\,{d x}"," ",0,"integrate((e*x + d)^m/((g*x + f)*(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m), x)","F",0
773,0,0,0,0.000000," ","integrate((e*x+d)^m/(g*x+f)^2/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(g x + f\right)}^{2} {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{m}}\,{d x}"," ",0,"integrate((e*x + d)^m/((g*x + f)^2*(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m), x)","F",0
774,0,0,0,0.000000," ","integrate((e*x+d)^m/(g*x+f)^3/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(g x + f\right)}^{3} {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{m}}\,{d x}"," ",0,"integrate((e*x + d)^m/((g*x + f)^3*(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m), x)","F",0
775,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)^(3/2)/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{\frac{3}{2}} {\left(e x + d\right)}^{m}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{m}}\,{d x}"," ",0,"integrate((g*x + f)^(3/2)*(e*x + d)^m/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m, x)","F",0
776,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)^(1/2)/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f} {\left(e x + d\right)}^{m}}{{\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{m}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)*(e*x + d)^m/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m, x)","F",0
777,0,0,0,0.000000," ","integrate((e*x+d)^m/(g*x+f)^(1/2)/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{\sqrt{g x + f} {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{m}}\,{d x}"," ",0,"integrate((e*x + d)^m/(sqrt(g*x + f)*(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m), x)","F",0
778,0,0,0,0.000000," ","integrate((e*x+d)^m/(g*x+f)^(3/2)/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(g x + f\right)}^{\frac{3}{2}} {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{m}}\,{d x}"," ",0,"integrate((e*x + d)^m/((g*x + f)^(3/2)*(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m), x)","F",0
779,0,0,0,0.000000," ","integrate((e*x+d)^m/(g*x+f)^(5/2)/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(g x + f\right)}^{\frac{5}{2}} {\left(c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x\right)}^{m}}\,{d x}"," ",0,"integrate((e*x + d)^m/((g*x + f)^(5/2)*(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m), x)","F",0
780,1,49,0,0.495347," ","integrate((c*d*x+a*e)^n*(e*x+d)^m/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","-\frac{{\left(c d x + a e\right)} e^{\left(-m \log\left(c d x + a e\right) + n \log\left(c d x + a e\right)\right)}}{c d {\left(m - n - 1\right)}}"," ",0,"-(c*d*x + a*e)*e^(-m*log(c*d*x + a*e) + n*log(c*d*x + a*e))/(c*d*(m - n - 1))","A",0
781,1,32,0,0.503528," ","integrate((e*x+d)^m*(c*d^2*e*g-e*(a*e^2+c*d^2)*g-c*d*e^2*g*x)^(-1+m)/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""maxima"")","-\frac{e^{2 \, m - 2} \left(-g\right)^{m} \log\left(c d x + a e\right)}{c d g}"," ",0,"-e^(2*m - 2)*(-g)^m*log(c*d*x + a*e)/(c*d*g)","A",0
782,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(g*x+f)^n/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{n}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(g*x + f)^n/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
783,1,693,0,0.739084," ","integrate((e*x+d)^(3/2)*(g*x+f)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} e x^{2} + 3 \, a c d^{2} e - 2 \, a^{2} e^{3} + {\left(3 \, c^{2} d^{3} - a c d e^{2}\right)} x\right)} f^{4}}{3 \, \sqrt{c d x + a e} c^{2} d^{2}} + \frac{8 \, {\left(3 \, c^{3} d^{3} e x^{3} - 10 \, a^{2} c d^{2} e^{2} + 8 \, a^{3} e^{4} + {\left(5 \, c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} x^{2} - {\left(5 \, a c^{2} d^{3} e - 4 \, a^{2} c d e^{3}\right)} x\right)} f^{3} g}{15 \, \sqrt{c d x + a e} c^{3} d^{3}} + \frac{4 \, {\left(15 \, c^{4} d^{4} e x^{4} + 56 \, a^{3} c d^{2} e^{3} - 48 \, a^{4} e^{5} + 3 \, {\left(7 \, c^{4} d^{5} - a c^{3} d^{3} e^{2}\right)} x^{3} - {\left(7 \, a c^{3} d^{4} e - 6 \, a^{2} c^{2} d^{2} e^{3}\right)} x^{2} + 4 \, {\left(7 \, a^{2} c^{2} d^{3} e^{2} - 6 \, a^{3} c d e^{4}\right)} x\right)} f^{2} g^{2}}{35 \, \sqrt{c d x + a e} c^{4} d^{4}} + \frac{8 \, {\left(35 \, c^{5} d^{5} e x^{5} - 144 \, a^{4} c d^{2} e^{4} + 128 \, a^{5} e^{6} + 5 \, {\left(9 \, c^{5} d^{6} - a c^{4} d^{4} e^{2}\right)} x^{4} - {\left(9 \, a c^{4} d^{5} e - 8 \, a^{2} c^{3} d^{3} e^{3}\right)} x^{3} + 2 \, {\left(9 \, a^{2} c^{3} d^{4} e^{2} - 8 \, a^{3} c^{2} d^{2} e^{4}\right)} x^{2} - 8 \, {\left(9 \, a^{3} c^{2} d^{3} e^{3} - 8 \, a^{4} c d e^{5}\right)} x\right)} f g^{3}}{315 \, \sqrt{c d x + a e} c^{5} d^{5}} + \frac{2 \, {\left(315 \, c^{6} d^{6} e x^{6} + 1408 \, a^{5} c d^{2} e^{5} - 1280 \, a^{6} e^{7} + 35 \, {\left(11 \, c^{6} d^{7} - a c^{5} d^{5} e^{2}\right)} x^{5} - 5 \, {\left(11 \, a c^{5} d^{6} e - 10 \, a^{2} c^{4} d^{4} e^{3}\right)} x^{4} + 8 \, {\left(11 \, a^{2} c^{4} d^{5} e^{2} - 10 \, a^{3} c^{3} d^{3} e^{4}\right)} x^{3} - 16 \, {\left(11 \, a^{3} c^{3} d^{4} e^{3} - 10 \, a^{4} c^{2} d^{2} e^{5}\right)} x^{2} + 64 \, {\left(11 \, a^{4} c^{2} d^{3} e^{4} - 10 \, a^{5} c d e^{6}\right)} x\right)} g^{4}}{3465 \, \sqrt{c d x + a e} c^{6} d^{6}}"," ",0,"2/3*(c^2*d^2*e*x^2 + 3*a*c*d^2*e - 2*a^2*e^3 + (3*c^2*d^3 - a*c*d*e^2)*x)*f^4/(sqrt(c*d*x + a*e)*c^2*d^2) + 8/15*(3*c^3*d^3*e*x^3 - 10*a^2*c*d^2*e^2 + 8*a^3*e^4 + (5*c^3*d^4 - a*c^2*d^2*e^2)*x^2 - (5*a*c^2*d^3*e - 4*a^2*c*d*e^3)*x)*f^3*g/(sqrt(c*d*x + a*e)*c^3*d^3) + 4/35*(15*c^4*d^4*e*x^4 + 56*a^3*c*d^2*e^3 - 48*a^4*e^5 + 3*(7*c^4*d^5 - a*c^3*d^3*e^2)*x^3 - (7*a*c^3*d^4*e - 6*a^2*c^2*d^2*e^3)*x^2 + 4*(7*a^2*c^2*d^3*e^2 - 6*a^3*c*d*e^4)*x)*f^2*g^2/(sqrt(c*d*x + a*e)*c^4*d^4) + 8/315*(35*c^5*d^5*e*x^5 - 144*a^4*c*d^2*e^4 + 128*a^5*e^6 + 5*(9*c^5*d^6 - a*c^4*d^4*e^2)*x^4 - (9*a*c^4*d^5*e - 8*a^2*c^3*d^3*e^3)*x^3 + 2*(9*a^2*c^3*d^4*e^2 - 8*a^3*c^2*d^2*e^4)*x^2 - 8*(9*a^3*c^2*d^3*e^3 - 8*a^4*c*d*e^5)*x)*f*g^3/(sqrt(c*d*x + a*e)*c^5*d^5) + 2/3465*(315*c^6*d^6*e*x^6 + 1408*a^5*c*d^2*e^5 - 1280*a^6*e^7 + 35*(11*c^6*d^7 - a*c^5*d^5*e^2)*x^5 - 5*(11*a*c^5*d^6*e - 10*a^2*c^4*d^4*e^3)*x^4 + 8*(11*a^2*c^4*d^5*e^2 - 10*a^3*c^3*d^3*e^4)*x^3 - 16*(11*a^3*c^3*d^4*e^3 - 10*a^4*c^2*d^2*e^5)*x^2 + 64*(11*a^4*c^2*d^3*e^4 - 10*a^5*c*d*e^6)*x)*g^4/(sqrt(c*d*x + a*e)*c^6*d^6)","A",0
784,1,484,0,0.685351," ","integrate((e*x+d)^(3/2)*(g*x+f)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} e x^{2} + 3 \, a c d^{2} e - 2 \, a^{2} e^{3} + {\left(3 \, c^{2} d^{3} - a c d e^{2}\right)} x\right)} f^{3}}{3 \, \sqrt{c d x + a e} c^{2} d^{2}} + \frac{2 \, {\left(3 \, c^{3} d^{3} e x^{3} - 10 \, a^{2} c d^{2} e^{2} + 8 \, a^{3} e^{4} + {\left(5 \, c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} x^{2} - {\left(5 \, a c^{2} d^{3} e - 4 \, a^{2} c d e^{3}\right)} x\right)} f^{2} g}{5 \, \sqrt{c d x + a e} c^{3} d^{3}} + \frac{2 \, {\left(15 \, c^{4} d^{4} e x^{4} + 56 \, a^{3} c d^{2} e^{3} - 48 \, a^{4} e^{5} + 3 \, {\left(7 \, c^{4} d^{5} - a c^{3} d^{3} e^{2}\right)} x^{3} - {\left(7 \, a c^{3} d^{4} e - 6 \, a^{2} c^{2} d^{2} e^{3}\right)} x^{2} + 4 \, {\left(7 \, a^{2} c^{2} d^{3} e^{2} - 6 \, a^{3} c d e^{4}\right)} x\right)} f g^{2}}{35 \, \sqrt{c d x + a e} c^{4} d^{4}} + \frac{2 \, {\left(35 \, c^{5} d^{5} e x^{5} - 144 \, a^{4} c d^{2} e^{4} + 128 \, a^{5} e^{6} + 5 \, {\left(9 \, c^{5} d^{6} - a c^{4} d^{4} e^{2}\right)} x^{4} - {\left(9 \, a c^{4} d^{5} e - 8 \, a^{2} c^{3} d^{3} e^{3}\right)} x^{3} + 2 \, {\left(9 \, a^{2} c^{3} d^{4} e^{2} - 8 \, a^{3} c^{2} d^{2} e^{4}\right)} x^{2} - 8 \, {\left(9 \, a^{3} c^{2} d^{3} e^{3} - 8 \, a^{4} c d e^{5}\right)} x\right)} g^{3}}{315 \, \sqrt{c d x + a e} c^{5} d^{5}}"," ",0,"2/3*(c^2*d^2*e*x^2 + 3*a*c*d^2*e - 2*a^2*e^3 + (3*c^2*d^3 - a*c*d*e^2)*x)*f^3/(sqrt(c*d*x + a*e)*c^2*d^2) + 2/5*(3*c^3*d^3*e*x^3 - 10*a^2*c*d^2*e^2 + 8*a^3*e^4 + (5*c^3*d^4 - a*c^2*d^2*e^2)*x^2 - (5*a*c^2*d^3*e - 4*a^2*c*d*e^3)*x)*f^2*g/(sqrt(c*d*x + a*e)*c^3*d^3) + 2/35*(15*c^4*d^4*e*x^4 + 56*a^3*c*d^2*e^3 - 48*a^4*e^5 + 3*(7*c^4*d^5 - a*c^3*d^3*e^2)*x^3 - (7*a*c^3*d^4*e - 6*a^2*c^2*d^2*e^3)*x^2 + 4*(7*a^2*c^2*d^3*e^2 - 6*a^3*c*d*e^4)*x)*f*g^2/(sqrt(c*d*x + a*e)*c^4*d^4) + 2/315*(35*c^5*d^5*e*x^5 - 144*a^4*c*d^2*e^4 + 128*a^5*e^6 + 5*(9*c^5*d^6 - a*c^4*d^4*e^2)*x^4 - (9*a*c^4*d^5*e - 8*a^2*c^3*d^3*e^3)*x^3 + 2*(9*a^2*c^3*d^4*e^2 - 8*a^3*c^2*d^2*e^4)*x^2 - 8*(9*a^3*c^2*d^3*e^3 - 8*a^4*c*d*e^5)*x)*g^3/(sqrt(c*d*x + a*e)*c^5*d^5)","A",0
785,1,309,0,0.627217," ","integrate((e*x+d)^(3/2)*(g*x+f)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} e x^{2} + 3 \, a c d^{2} e - 2 \, a^{2} e^{3} + {\left(3 \, c^{2} d^{3} - a c d e^{2}\right)} x\right)} f^{2}}{3 \, \sqrt{c d x + a e} c^{2} d^{2}} + \frac{4 \, {\left(3 \, c^{3} d^{3} e x^{3} - 10 \, a^{2} c d^{2} e^{2} + 8 \, a^{3} e^{4} + {\left(5 \, c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} x^{2} - {\left(5 \, a c^{2} d^{3} e - 4 \, a^{2} c d e^{3}\right)} x\right)} f g}{15 \, \sqrt{c d x + a e} c^{3} d^{3}} + \frac{2 \, {\left(15 \, c^{4} d^{4} e x^{4} + 56 \, a^{3} c d^{2} e^{3} - 48 \, a^{4} e^{5} + 3 \, {\left(7 \, c^{4} d^{5} - a c^{3} d^{3} e^{2}\right)} x^{3} - {\left(7 \, a c^{3} d^{4} e - 6 \, a^{2} c^{2} d^{2} e^{3}\right)} x^{2} + 4 \, {\left(7 \, a^{2} c^{2} d^{3} e^{2} - 6 \, a^{3} c d e^{4}\right)} x\right)} g^{2}}{105 \, \sqrt{c d x + a e} c^{4} d^{4}}"," ",0,"2/3*(c^2*d^2*e*x^2 + 3*a*c*d^2*e - 2*a^2*e^3 + (3*c^2*d^3 - a*c*d*e^2)*x)*f^2/(sqrt(c*d*x + a*e)*c^2*d^2) + 4/15*(3*c^3*d^3*e*x^3 - 10*a^2*c*d^2*e^2 + 8*a^3*e^4 + (5*c^3*d^4 - a*c^2*d^2*e^2)*x^2 - (5*a*c^2*d^3*e - 4*a^2*c*d*e^3)*x)*f*g/(sqrt(c*d*x + a*e)*c^3*d^3) + 2/105*(15*c^4*d^4*e*x^4 + 56*a^3*c*d^2*e^3 - 48*a^4*e^5 + 3*(7*c^4*d^5 - a*c^3*d^3*e^2)*x^3 - (7*a*c^3*d^4*e - 6*a^2*c^2*d^2*e^3)*x^2 + 4*(7*a^2*c^2*d^3*e^2 - 6*a^3*c*d*e^4)*x)*g^2/(sqrt(c*d*x + a*e)*c^4*d^4)","A",0
786,1,168,0,0.570087," ","integrate((e*x+d)^(3/2)*(g*x+f)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} e x^{2} + 3 \, a c d^{2} e - 2 \, a^{2} e^{3} + {\left(3 \, c^{2} d^{3} - a c d e^{2}\right)} x\right)} f}{3 \, \sqrt{c d x + a e} c^{2} d^{2}} + \frac{2 \, {\left(3 \, c^{3} d^{3} e x^{3} - 10 \, a^{2} c d^{2} e^{2} + 8 \, a^{3} e^{4} + {\left(5 \, c^{3} d^{4} - a c^{2} d^{2} e^{2}\right)} x^{2} - {\left(5 \, a c^{2} d^{3} e - 4 \, a^{2} c d e^{3}\right)} x\right)} g}{15 \, \sqrt{c d x + a e} c^{3} d^{3}}"," ",0,"2/3*(c^2*d^2*e*x^2 + 3*a*c*d^2*e - 2*a^2*e^3 + (3*c^2*d^3 - a*c*d*e^2)*x)*f/(sqrt(c*d*x + a*e)*c^2*d^2) + 2/15*(3*c^3*d^3*e*x^3 - 10*a^2*c*d^2*e^2 + 8*a^3*e^4 + (5*c^3*d^4 - a*c^2*d^2*e^2)*x^2 - (5*a*c^2*d^3*e - 4*a^2*c*d*e^3)*x)*g/(sqrt(c*d*x + a*e)*c^3*d^3)","A",0
787,1,65,0,0.503754," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c^{2} d^{2} e x^{2} + 3 \, a c d^{2} e - 2 \, a^{2} e^{3} + {\left(3 \, c^{2} d^{3} - a c d e^{2}\right)} x\right)}}{3 \, \sqrt{c d x + a e} c^{2} d^{2}}"," ",0,"2/3*(c^2*d^2*e*x^2 + 3*a*c*d^2*e - 2*a^2*e^3 + (3*c^2*d^3 - a*c*d*e^2)*x)/(sqrt(c*d*x + a*e)*c^2*d^2)","A",0
788,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)), x)","F",0
789,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^2/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^2), x)","F",0
790,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^3/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^3), x)","F",0
791,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^4/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x} {\left(g x + f\right)}^{4}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)*(g*x + f)^4), x)","F",0
792,1,365,0,0.977838," ","integrate((c*x^2+b*x+a)^3/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-d^{2} x^{2} + 1} c^{3} x^{5}}{6 \, d^{2}} - \frac{3 \, \sqrt{-d^{2} x^{2} + 1} b c^{2} x^{4}}{5 \, d^{2}} + \frac{a^{3} \arcsin\left(d x\right)}{d} - \frac{5 \, \sqrt{-d^{2} x^{2} + 1} c^{3} x^{3}}{24 \, d^{4}} - \frac{3 \, \sqrt{-d^{2} x^{2} + 1} {\left(b^{2} c + a c^{2}\right)} x^{3}}{4 \, d^{2}} - \frac{3 \, \sqrt{-d^{2} x^{2} + 1} a^{2} b}{d^{2}} - \frac{4 \, \sqrt{-d^{2} x^{2} + 1} b c^{2} x^{2}}{5 \, d^{4}} - \frac{\sqrt{-d^{2} x^{2} + 1} {\left(b^{3} + 6 \, a b c\right)} x^{2}}{3 \, d^{2}} - \frac{3 \, \sqrt{-d^{2} x^{2} + 1} {\left(a b^{2} + a^{2} c\right)} x}{2 \, d^{2}} + \frac{3 \, {\left(a b^{2} + a^{2} c\right)} \arcsin\left(d x\right)}{2 \, d^{3}} - \frac{5 \, \sqrt{-d^{2} x^{2} + 1} c^{3} x}{16 \, d^{6}} - \frac{9 \, \sqrt{-d^{2} x^{2} + 1} {\left(b^{2} c + a c^{2}\right)} x}{8 \, d^{4}} - \frac{8 \, \sqrt{-d^{2} x^{2} + 1} b c^{2}}{5 \, d^{6}} - \frac{2 \, \sqrt{-d^{2} x^{2} + 1} {\left(b^{3} + 6 \, a b c\right)}}{3 \, d^{4}} + \frac{5 \, c^{3} \arcsin\left(d x\right)}{16 \, d^{7}} + \frac{9 \, {\left(b^{2} c + a c^{2}\right)} \arcsin\left(d x\right)}{8 \, d^{5}}"," ",0,"-1/6*sqrt(-d^2*x^2 + 1)*c^3*x^5/d^2 - 3/5*sqrt(-d^2*x^2 + 1)*b*c^2*x^4/d^2 + a^3*arcsin(d*x)/d - 5/24*sqrt(-d^2*x^2 + 1)*c^3*x^3/d^4 - 3/4*sqrt(-d^2*x^2 + 1)*(b^2*c + a*c^2)*x^3/d^2 - 3*sqrt(-d^2*x^2 + 1)*a^2*b/d^2 - 4/5*sqrt(-d^2*x^2 + 1)*b*c^2*x^2/d^4 - 1/3*sqrt(-d^2*x^2 + 1)*(b^3 + 6*a*b*c)*x^2/d^2 - 3/2*sqrt(-d^2*x^2 + 1)*(a*b^2 + a^2*c)*x/d^2 + 3/2*(a*b^2 + a^2*c)*arcsin(d*x)/d^3 - 5/16*sqrt(-d^2*x^2 + 1)*c^3*x/d^6 - 9/8*sqrt(-d^2*x^2 + 1)*(b^2*c + a*c^2)*x/d^4 - 8/5*sqrt(-d^2*x^2 + 1)*b*c^2/d^6 - 2/3*sqrt(-d^2*x^2 + 1)*(b^3 + 6*a*b*c)/d^4 + 5/16*c^3*arcsin(d*x)/d^7 + 9/8*(b^2*c + a*c^2)*arcsin(d*x)/d^5","A",0
793,1,171,0,0.972555," ","integrate((c*x^2+b*x+a)^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-d^{2} x^{2} + 1} c^{2} x^{3}}{4 \, d^{2}} - \frac{2 \, \sqrt{-d^{2} x^{2} + 1} b c x^{2}}{3 \, d^{2}} + \frac{a^{2} \arcsin\left(d x\right)}{d} - \frac{2 \, \sqrt{-d^{2} x^{2} + 1} a b}{d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} {\left(b^{2} + 2 \, a c\right)} x}{2 \, d^{2}} - \frac{3 \, \sqrt{-d^{2} x^{2} + 1} c^{2} x}{8 \, d^{4}} + \frac{{\left(b^{2} + 2 \, a c\right)} \arcsin\left(d x\right)}{2 \, d^{3}} - \frac{4 \, \sqrt{-d^{2} x^{2} + 1} b c}{3 \, d^{4}} + \frac{3 \, c^{2} \arcsin\left(d x\right)}{8 \, d^{5}}"," ",0,"-1/4*sqrt(-d^2*x^2 + 1)*c^2*x^3/d^2 - 2/3*sqrt(-d^2*x^2 + 1)*b*c*x^2/d^2 + a^2*arcsin(d*x)/d - 2*sqrt(-d^2*x^2 + 1)*a*b/d^2 - 1/2*sqrt(-d^2*x^2 + 1)*(b^2 + 2*a*c)*x/d^2 - 3/8*sqrt(-d^2*x^2 + 1)*c^2*x/d^4 + 1/2*(b^2 + 2*a*c)*arcsin(d*x)/d^3 - 4/3*sqrt(-d^2*x^2 + 1)*b*c/d^4 + 3/8*c^2*arcsin(d*x)/d^5","A",0
794,1,57,0,0.969666," ","integrate((c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\frac{a \arcsin\left(d x\right)}{d} - \frac{\sqrt{-d^{2} x^{2} + 1} c x}{2 \, d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} b}{d^{2}} + \frac{c \arcsin\left(d x\right)}{2 \, d^{3}}"," ",0,"a*arcsin(d*x)/d - 1/2*sqrt(-d^2*x^2 + 1)*c*x/d^2 - sqrt(-d^2*x^2 + 1)*b/d^2 + 1/2*c*arcsin(d*x)/d^3","A",0
795,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)} \sqrt{d x + 1} \sqrt{-d x + 1}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)*sqrt(d*x + 1)*sqrt(-d*x + 1)), x)","F",0
796,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{2} \sqrt{d x + 1} \sqrt{-d x + 1}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^2*sqrt(d*x + 1)*sqrt(-d*x + 1)), x)","F",0
797,1,371,0,0.980288," ","integrate((c*x^2+b*x+a)^3/(-d*x+1)^(3/2)/(d*x+1)^(3/2),x, algorithm=""maxima"")","-\frac{c^{3} x^{5}}{4 \, \sqrt{-d^{2} x^{2} + 1} d^{2}} - \frac{b c^{2} x^{4}}{\sqrt{-d^{2} x^{2} + 1} d^{2}} + \frac{a^{3} x}{\sqrt{-d^{2} x^{2} + 1}} - \frac{5 \, c^{3} x^{3}}{8 \, \sqrt{-d^{2} x^{2} + 1} d^{4}} - \frac{3 \, {\left(b^{2} c + a c^{2}\right)} x^{3}}{2 \, \sqrt{-d^{2} x^{2} + 1} d^{2}} + \frac{3 \, a^{2} b}{\sqrt{-d^{2} x^{2} + 1} d^{2}} - \frac{4 \, b c^{2} x^{2}}{\sqrt{-d^{2} x^{2} + 1} d^{4}} - \frac{{\left(b^{3} + 6 \, a b c\right)} x^{2}}{\sqrt{-d^{2} x^{2} + 1} d^{2}} + \frac{3 \, {\left(a b^{2} + a^{2} c\right)} x}{\sqrt{-d^{2} x^{2} + 1} d^{2}} - \frac{3 \, {\left(a b^{2} + a^{2} c\right)} \arcsin\left(d x\right)}{d^{3}} + \frac{15 \, c^{3} x}{8 \, \sqrt{-d^{2} x^{2} + 1} d^{6}} + \frac{9 \, {\left(b^{2} c + a c^{2}\right)} x}{2 \, \sqrt{-d^{2} x^{2} + 1} d^{4}} - \frac{15 \, c^{3} \arcsin\left(d x\right)}{8 \, d^{7}} - \frac{9 \, {\left(b^{2} c + a c^{2}\right)} \arcsin\left(d x\right)}{2 \, d^{5}} + \frac{8 \, b c^{2}}{\sqrt{-d^{2} x^{2} + 1} d^{6}} + \frac{2 \, {\left(b^{3} + 6 \, a b c\right)}}{\sqrt{-d^{2} x^{2} + 1} d^{4}}"," ",0,"-1/4*c^3*x^5/(sqrt(-d^2*x^2 + 1)*d^2) - b*c^2*x^4/(sqrt(-d^2*x^2 + 1)*d^2) + a^3*x/sqrt(-d^2*x^2 + 1) - 5/8*c^3*x^3/(sqrt(-d^2*x^2 + 1)*d^4) - 3/2*(b^2*c + a*c^2)*x^3/(sqrt(-d^2*x^2 + 1)*d^2) + 3*a^2*b/(sqrt(-d^2*x^2 + 1)*d^2) - 4*b*c^2*x^2/(sqrt(-d^2*x^2 + 1)*d^4) - (b^3 + 6*a*b*c)*x^2/(sqrt(-d^2*x^2 + 1)*d^2) + 3*(a*b^2 + a^2*c)*x/(sqrt(-d^2*x^2 + 1)*d^2) - 3*(a*b^2 + a^2*c)*arcsin(d*x)/d^3 + 15/8*c^3*x/(sqrt(-d^2*x^2 + 1)*d^6) + 9/2*(b^2*c + a*c^2)*x/(sqrt(-d^2*x^2 + 1)*d^4) - 15/8*c^3*arcsin(d*x)/d^7 - 9/2*(b^2*c + a*c^2)*arcsin(d*x)/d^5 + 8*b*c^2/(sqrt(-d^2*x^2 + 1)*d^6) + 2*(b^3 + 6*a*b*c)/(sqrt(-d^2*x^2 + 1)*d^4)","A",0
798,1,176,0,0.968700," ","integrate((c*x^2+b*x+a)^2/(-d*x+1)^(3/2)/(d*x+1)^(3/2),x, algorithm=""maxima"")","\frac{a^{2} x}{\sqrt{-d^{2} x^{2} + 1}} - \frac{c^{2} x^{3}}{2 \, \sqrt{-d^{2} x^{2} + 1} d^{2}} - \frac{2 \, b c x^{2}}{\sqrt{-d^{2} x^{2} + 1} d^{2}} + \frac{2 \, a b}{\sqrt{-d^{2} x^{2} + 1} d^{2}} + \frac{{\left(b^{2} + 2 \, a c\right)} x}{\sqrt{-d^{2} x^{2} + 1} d^{2}} - \frac{{\left(b^{2} + 2 \, a c\right)} \arcsin\left(d x\right)}{d^{3}} + \frac{3 \, c^{2} x}{2 \, \sqrt{-d^{2} x^{2} + 1} d^{4}} - \frac{3 \, c^{2} \arcsin\left(d x\right)}{2 \, d^{5}} + \frac{4 \, b c}{\sqrt{-d^{2} x^{2} + 1} d^{4}}"," ",0,"a^2*x/sqrt(-d^2*x^2 + 1) - 1/2*c^2*x^3/(sqrt(-d^2*x^2 + 1)*d^2) - 2*b*c*x^2/(sqrt(-d^2*x^2 + 1)*d^2) + 2*a*b/(sqrt(-d^2*x^2 + 1)*d^2) + (b^2 + 2*a*c)*x/(sqrt(-d^2*x^2 + 1)*d^2) - (b^2 + 2*a*c)*arcsin(d*x)/d^3 + 3/2*c^2*x/(sqrt(-d^2*x^2 + 1)*d^4) - 3/2*c^2*arcsin(d*x)/d^5 + 4*b*c/(sqrt(-d^2*x^2 + 1)*d^4)","A",0
799,1,61,0,0.967460," ","integrate((c*x^2+b*x+a)/(-d*x+1)^(3/2)/(d*x+1)^(3/2),x, algorithm=""maxima"")","\frac{a x}{\sqrt{-d^{2} x^{2} + 1}} + \frac{c x}{\sqrt{-d^{2} x^{2} + 1} d^{2}} - \frac{c \arcsin\left(d x\right)}{d^{3}} + \frac{b}{\sqrt{-d^{2} x^{2} + 1} d^{2}}"," ",0,"a*x/sqrt(-d^2*x^2 + 1) + c*x/(sqrt(-d^2*x^2 + 1)*d^2) - c*arcsin(d*x)/d^3 + b/(sqrt(-d^2*x^2 + 1)*d^2)","A",0
800,0,0,0,0.000000," ","integrate(1/(-d*x+1)^(3/2)/(d*x+1)^(3/2)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)} {\left(d x + 1\right)}^{\frac{3}{2}} {\left(-d x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)*(d*x + 1)^(3/2)*(-d*x + 1)^(3/2)), x)","F",0
801,0,0,0,0.000000," ","integrate(1/(-d*x+1)^(3/2)/(d*x+1)^(3/2)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{2} {\left(d x + 1\right)}^{\frac{3}{2}} {\left(-d x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^2*(d*x + 1)^(3/2)*(-d*x + 1)^(3/2)), x)","F",0
802,0,0,0,0.000000," ","integrate((-e*x+1)^m*(e*x+1)^m*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} {\left(e x + 1\right)}^{m} {\left(-e x + 1\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(e*x + 1)^m*(-e*x + 1)^m, x)","F",0
803,0,0,0,0.000000," ","integrate((-e*x+d)^m*(e*x+d)^m*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + a\right)}^{p} {\left(e x + d\right)}^{m} {\left(-e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + a)^p*(e*x + d)^m*(-e*x + d)^m, x)","F",0
804,0,0,0,0.000000," ","integrate((e*x+d)^m*(-e*f*x+d*f)^m*(c*x^2+a)^p,x, algorithm=""maxima"")","\int {\left(-e f x + d f\right)}^{m} {\left(c x^{2} + a\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((-e*f*x + d*f)^m*(c*x^2 + a)^p*(e*x + d)^m, x)","F",0
805,1,811,0,0.597449," ","integrate((e*x+d)^3*(g*x+f)^n*(c*e*x^2+2*c*d*x+a),x, algorithm=""maxima"")","\frac{2 \, {\left(g^{2} {\left(n + 1\right)} x^{2} + f g n x - f^{2}\right)} {\left(g x + f\right)}^{n} c d^{4}}{{\left(n^{2} + 3 \, n + 2\right)} g^{2}} + \frac{7 \, {\left({\left(n^{2} + 3 \, n + 2\right)} g^{3} x^{3} + {\left(n^{2} + n\right)} f g^{2} x^{2} - 2 \, f^{2} g n x + 2 \, f^{3}\right)} {\left(g x + f\right)}^{n} c d^{3} e}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{3}} + \frac{3 \, {\left(g^{2} {\left(n + 1\right)} x^{2} + f g n x - f^{2}\right)} {\left(g x + f\right)}^{n} a d^{2} e}{{\left(n^{2} + 3 \, n + 2\right)} g^{2}} + \frac{{\left(g x + f\right)}^{n + 1} a d^{3}}{g {\left(n + 1\right)}} + \frac{9 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} f g^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} f^{2} g^{2} x^{2} + 6 \, f^{3} g n x - 6 \, f^{4}\right)} {\left(g x + f\right)}^{n} c d^{2} e^{2}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} g^{4}} + \frac{3 \, {\left({\left(n^{2} + 3 \, n + 2\right)} g^{3} x^{3} + {\left(n^{2} + n\right)} f g^{2} x^{2} - 2 \, f^{2} g n x + 2 \, f^{3}\right)} {\left(g x + f\right)}^{n} a d e^{2}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{3}} + \frac{5 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} g^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} f g^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} f^{2} g^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} f^{3} g^{2} x^{2} - 24 \, f^{4} g n x + 24 \, f^{5}\right)} {\left(g x + f\right)}^{n} c d e^{3}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} g^{5}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} f g^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} f^{2} g^{2} x^{2} + 6 \, f^{3} g n x - 6 \, f^{4}\right)} {\left(g x + f\right)}^{n} a e^{3}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} g^{4}} + \frac{{\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} g^{6} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} f g^{5} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} f^{2} g^{4} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} f^{3} g^{3} x^{3} - 60 \, {\left(n^{2} + n\right)} f^{4} g^{2} x^{2} + 120 \, f^{5} g n x - 120 \, f^{6}\right)} {\left(g x + f\right)}^{n} c e^{4}}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} g^{6}}"," ",0,"2*(g^2*(n + 1)*x^2 + f*g*n*x - f^2)*(g*x + f)^n*c*d^4/((n^2 + 3*n + 2)*g^2) + 7*((n^2 + 3*n + 2)*g^3*x^3 + (n^2 + n)*f*g^2*x^2 - 2*f^2*g*n*x + 2*f^3)*(g*x + f)^n*c*d^3*e/((n^3 + 6*n^2 + 11*n + 6)*g^3) + 3*(g^2*(n + 1)*x^2 + f*g*n*x - f^2)*(g*x + f)^n*a*d^2*e/((n^2 + 3*n + 2)*g^2) + (g*x + f)^(n + 1)*a*d^3/(g*(n + 1)) + 9*((n^3 + 6*n^2 + 11*n + 6)*g^4*x^4 + (n^3 + 3*n^2 + 2*n)*f*g^3*x^3 - 3*(n^2 + n)*f^2*g^2*x^2 + 6*f^3*g*n*x - 6*f^4)*(g*x + f)^n*c*d^2*e^2/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*g^4) + 3*((n^2 + 3*n + 2)*g^3*x^3 + (n^2 + n)*f*g^2*x^2 - 2*f^2*g*n*x + 2*f^3)*(g*x + f)^n*a*d*e^2/((n^3 + 6*n^2 + 11*n + 6)*g^3) + 5*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*g^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*f*g^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*f^2*g^3*x^3 + 12*(n^2 + n)*f^3*g^2*x^2 - 24*f^4*g*n*x + 24*f^5)*(g*x + f)^n*c*d*e^3/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*g^5) + ((n^3 + 6*n^2 + 11*n + 6)*g^4*x^4 + (n^3 + 3*n^2 + 2*n)*f*g^3*x^3 - 3*(n^2 + n)*f^2*g^2*x^2 + 6*f^3*g*n*x - 6*f^4)*(g*x + f)^n*a*e^3/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*g^4) + ((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*g^6*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*f*g^5*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*f^2*g^4*x^4 + 20*(n^3 + 3*n^2 + 2*n)*f^3*g^3*x^3 - 60*(n^2 + n)*f^4*g^2*x^2 + 120*f^5*g*n*x - 120*f^6)*(g*x + f)^n*c*e^4/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*g^6)","B",0
806,1,512,0,0.543072," ","integrate((e*x+d)^2*(g*x+f)^n*(c*e*x^2+2*c*d*x+a),x, algorithm=""maxima"")","\frac{2 \, {\left(g^{2} {\left(n + 1\right)} x^{2} + f g n x - f^{2}\right)} {\left(g x + f\right)}^{n} c d^{3}}{{\left(n^{2} + 3 \, n + 2\right)} g^{2}} + \frac{5 \, {\left({\left(n^{2} + 3 \, n + 2\right)} g^{3} x^{3} + {\left(n^{2} + n\right)} f g^{2} x^{2} - 2 \, f^{2} g n x + 2 \, f^{3}\right)} {\left(g x + f\right)}^{n} c d^{2} e}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{3}} + \frac{2 \, {\left(g^{2} {\left(n + 1\right)} x^{2} + f g n x - f^{2}\right)} {\left(g x + f\right)}^{n} a d e}{{\left(n^{2} + 3 \, n + 2\right)} g^{2}} + \frac{{\left(g x + f\right)}^{n + 1} a d^{2}}{g {\left(n + 1\right)}} + \frac{4 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} f g^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} f^{2} g^{2} x^{2} + 6 \, f^{3} g n x - 6 \, f^{4}\right)} {\left(g x + f\right)}^{n} c d e^{2}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} g^{4}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} g^{3} x^{3} + {\left(n^{2} + n\right)} f g^{2} x^{2} - 2 \, f^{2} g n x + 2 \, f^{3}\right)} {\left(g x + f\right)}^{n} a e^{2}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{3}} + \frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} g^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} f g^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} f^{2} g^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} f^{3} g^{2} x^{2} - 24 \, f^{4} g n x + 24 \, f^{5}\right)} {\left(g x + f\right)}^{n} c e^{3}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} g^{5}}"," ",0,"2*(g^2*(n + 1)*x^2 + f*g*n*x - f^2)*(g*x + f)^n*c*d^3/((n^2 + 3*n + 2)*g^2) + 5*((n^2 + 3*n + 2)*g^3*x^3 + (n^2 + n)*f*g^2*x^2 - 2*f^2*g*n*x + 2*f^3)*(g*x + f)^n*c*d^2*e/((n^3 + 6*n^2 + 11*n + 6)*g^3) + 2*(g^2*(n + 1)*x^2 + f*g*n*x - f^2)*(g*x + f)^n*a*d*e/((n^2 + 3*n + 2)*g^2) + (g*x + f)^(n + 1)*a*d^2/(g*(n + 1)) + 4*((n^3 + 6*n^2 + 11*n + 6)*g^4*x^4 + (n^3 + 3*n^2 + 2*n)*f*g^3*x^3 - 3*(n^2 + n)*f^2*g^2*x^2 + 6*f^3*g*n*x - 6*f^4)*(g*x + f)^n*c*d*e^2/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*g^4) + ((n^2 + 3*n + 2)*g^3*x^3 + (n^2 + n)*f*g^2*x^2 - 2*f^2*g*n*x + 2*f^3)*(g*x + f)^n*a*e^2/((n^3 + 6*n^2 + 11*n + 6)*g^3) + ((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*g^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*f*g^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*f^2*g^3*x^3 + 12*(n^2 + n)*f^3*g^2*x^2 - 24*f^4*g*n*x + 24*f^5)*(g*x + f)^n*c*e^3/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*g^5)","B",0
807,1,289,0,0.505014," ","integrate((e*x+d)*(g*x+f)^n*(c*e*x^2+2*c*d*x+a),x, algorithm=""maxima"")","\frac{2 \, {\left(g^{2} {\left(n + 1\right)} x^{2} + f g n x - f^{2}\right)} {\left(g x + f\right)}^{n} c d^{2}}{{\left(n^{2} + 3 \, n + 2\right)} g^{2}} + \frac{3 \, {\left({\left(n^{2} + 3 \, n + 2\right)} g^{3} x^{3} + {\left(n^{2} + n\right)} f g^{2} x^{2} - 2 \, f^{2} g n x + 2 \, f^{3}\right)} {\left(g x + f\right)}^{n} c d e}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{3}} + \frac{{\left(g^{2} {\left(n + 1\right)} x^{2} + f g n x - f^{2}\right)} {\left(g x + f\right)}^{n} a e}{{\left(n^{2} + 3 \, n + 2\right)} g^{2}} + \frac{{\left(g x + f\right)}^{n + 1} a d}{g {\left(n + 1\right)}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} f g^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} f^{2} g^{2} x^{2} + 6 \, f^{3} g n x - 6 \, f^{4}\right)} {\left(g x + f\right)}^{n} c e^{2}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} g^{4}}"," ",0,"2*(g^2*(n + 1)*x^2 + f*g*n*x - f^2)*(g*x + f)^n*c*d^2/((n^2 + 3*n + 2)*g^2) + 3*((n^2 + 3*n + 2)*g^3*x^3 + (n^2 + n)*f*g^2*x^2 - 2*f^2*g*n*x + 2*f^3)*(g*x + f)^n*c*d*e/((n^3 + 6*n^2 + 11*n + 6)*g^3) + (g^2*(n + 1)*x^2 + f*g*n*x - f^2)*(g*x + f)^n*a*e/((n^2 + 3*n + 2)*g^2) + (g*x + f)^(n + 1)*a*d/(g*(n + 1)) + ((n^3 + 6*n^2 + 11*n + 6)*g^4*x^4 + (n^3 + 3*n^2 + 2*n)*f*g^3*x^3 - 3*(n^2 + n)*f^2*g^2*x^2 + 6*f^3*g*n*x - 6*f^4)*(g*x + f)^n*c*e^2/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*g^4)","A",0
808,1,135,0,0.474699," ","integrate((g*x+f)^n*(c*e*x^2+2*c*d*x+a),x, algorithm=""maxima"")","\frac{2 \, {\left(g^{2} {\left(n + 1\right)} x^{2} + f g n x - f^{2}\right)} {\left(g x + f\right)}^{n} c d}{{\left(n^{2} + 3 \, n + 2\right)} g^{2}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} g^{3} x^{3} + {\left(n^{2} + n\right)} f g^{2} x^{2} - 2 \, f^{2} g n x + 2 \, f^{3}\right)} {\left(g x + f\right)}^{n} c e}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} g^{3}} + \frac{{\left(g x + f\right)}^{n + 1} a}{g {\left(n + 1\right)}}"," ",0,"2*(g^2*(n + 1)*x^2 + f*g*n*x - f^2)*(g*x + f)^n*c*d/((n^2 + 3*n + 2)*g^2) + ((n^2 + 3*n + 2)*g^3*x^3 + (n^2 + n)*f*g^2*x^2 - 2*f^2*g*n*x + 2*f^3)*(g*x + f)^n*c*e/((n^3 + 6*n^2 + 11*n + 6)*g^3) + (g*x + f)^(n + 1)*a/(g*(n + 1))","A",0
809,0,0,0,0.000000," ","integrate((g*x+f)^n*(c*e*x^2+2*c*d*x+a)/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(c e x^{2} + 2 \, c d x + a\right)} {\left(g x + f\right)}^{n}}{e x + d}\,{d x}"," ",0,"integrate((c*e*x^2 + 2*c*d*x + a)*(g*x + f)^n/(e*x + d), x)","F",0
810,0,0,0,0.000000," ","integrate((g*x+f)^n*(c*e*x^2+2*c*d*x+a)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(c e x^{2} + 2 \, c d x + a\right)} {\left(g x + f\right)}^{n}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*e*x^2 + 2*c*d*x + a)*(g*x + f)^n/(e*x + d)^2, x)","F",0
811,0,0,0,0.000000," ","integrate((g*x+f)^n*(c*e*x^2+2*c*d*x+a)/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{{\left(c e x^{2} + 2 \, c d x + a\right)} {\left(g x + f\right)}^{n}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((c*e*x^2 + 2*c*d*x + a)*(g*x + f)^n/(e*x + d)^3, x)","F",0
812,0,0,0,0.000000," ","integrate((g*x+f)^n*(c*e*x^2+2*c*d*x+a)/(e*x+d)^4,x, algorithm=""maxima"")","\int \frac{{\left(c e x^{2} + 2 \, c d x + a\right)} {\left(g x + f\right)}^{n}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((c*e*x^2 + 2*c*d*x + a)*(g*x + f)^n/(e*x + d)^4, x)","F",0
813,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)^n*(c*e*x^2+2*c*d*x+a),x, algorithm=""maxima"")","\int {\left(c e x^{2} + 2 \, c d x + a\right)} {\left(e x + d\right)}^{m} {\left(g x + f\right)}^{n}\,{d x}"," ",0,"integrate((c*e*x^2 + 2*c*d*x + a)*(e*x + d)^m*(g*x + f)^n, x)","F",0
814,1,87,0,0.444752," ","integrate((c*x^2+b*x+a)/(e*x+d)/(g*x+f),x, algorithm=""maxima"")","\frac{{\left(c d^{2} - b d e + a e^{2}\right)} \log\left(e x + d\right)}{e^{3} f - d e^{2} g} - \frac{{\left(c f^{2} - b f g + a g^{2}\right)} \log\left(g x + f\right)}{e f g^{2} - d g^{3}} + \frac{c x}{e g}"," ",0,"(c*d^2 - b*d*e + a*e^2)*log(e*x + d)/(e^3*f - d*e^2*g) - (c*f^2 - b*f*g + a*g^2)*log(g*x + f)/(e*f*g^2 - d*g^3) + c*x/(e*g)","A",0
815,1,255,0,0.450457," ","integrate((c*x^2+b*x+a)^2/(e*x+d)/(g*x+f),x, algorithm=""maxima"")","\frac{{\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \log\left(e x + d\right)}{e^{5} f - d e^{4} g} - \frac{{\left(c^{2} f^{4} - 2 \, b c f^{3} g - 2 \, a b f g^{3} + a^{2} g^{4} + {\left(b^{2} + 2 \, a c\right)} f^{2} g^{2}\right)} \log\left(g x + f\right)}{e f g^{4} - d g^{5}} + \frac{2 \, c^{2} e^{2} g^{2} x^{3} - 3 \, {\left(c^{2} e^{2} f g + {\left(c^{2} d e - 2 \, b c e^{2}\right)} g^{2}\right)} x^{2} + 6 \, {\left(c^{2} e^{2} f^{2} + {\left(c^{2} d e - 2 \, b c e^{2}\right)} f g + {\left(c^{2} d^{2} - 2 \, b c d e + {\left(b^{2} + 2 \, a c\right)} e^{2}\right)} g^{2}\right)} x}{6 \, e^{3} g^{3}}"," ",0,"(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*log(e*x + d)/(e^5*f - d*e^4*g) - (c^2*f^4 - 2*b*c*f^3*g - 2*a*b*f*g^3 + a^2*g^4 + (b^2 + 2*a*c)*f^2*g^2)*log(g*x + f)/(e*f*g^4 - d*g^5) + 1/6*(2*c^2*e^2*g^2*x^3 - 3*(c^2*e^2*f*g + (c^2*d*e - 2*b*c*e^2)*g^2)*x^2 + 6*(c^2*e^2*f^2 + (c^2*d*e - 2*b*c*e^2)*f*g + (c^2*d^2 - 2*b*c*d*e + (b^2 + 2*a*c)*e^2)*g^2)*x)/(e^3*g^3)","A",0
816,1,721,0,0.488221," ","integrate((c*x^2+b*x+a)^3/(e*x+d)/(g*x+f),x, algorithm=""maxima"")","\frac{{\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)} \log\left(e x + d\right)}{e^{7} f - d e^{6} g} - \frac{{\left(c^{3} f^{6} - 3 \, b c^{2} f^{5} g - 3 \, a^{2} b f g^{5} + a^{3} g^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} f^{4} g^{2} - {\left(b^{3} + 6 \, a b c\right)} f^{3} g^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} f^{2} g^{4}\right)} \log\left(g x + f\right)}{e f g^{6} - d g^{7}} + \frac{12 \, c^{3} e^{4} g^{4} x^{5} - 15 \, {\left(c^{3} e^{4} f g^{3} + {\left(c^{3} d e^{3} - 3 \, b c^{2} e^{4}\right)} g^{4}\right)} x^{4} + 20 \, {\left(c^{3} e^{4} f^{2} g^{2} + {\left(c^{3} d e^{3} - 3 \, b c^{2} e^{4}\right)} f g^{3} + {\left(c^{3} d^{2} e^{2} - 3 \, b c^{2} d e^{3} + 3 \, {\left(b^{2} c + a c^{2}\right)} e^{4}\right)} g^{4}\right)} x^{3} - 30 \, {\left(c^{3} e^{4} f^{3} g + {\left(c^{3} d e^{3} - 3 \, b c^{2} e^{4}\right)} f^{2} g^{2} + {\left(c^{3} d^{2} e^{2} - 3 \, b c^{2} d e^{3} + 3 \, {\left(b^{2} c + a c^{2}\right)} e^{4}\right)} f g^{3} + {\left(c^{3} d^{3} e - 3 \, b c^{2} d^{2} e^{2} + 3 \, {\left(b^{2} c + a c^{2}\right)} d e^{3} - {\left(b^{3} + 6 \, a b c\right)} e^{4}\right)} g^{4}\right)} x^{2} + 60 \, {\left(c^{3} e^{4} f^{4} + {\left(c^{3} d e^{3} - 3 \, b c^{2} e^{4}\right)} f^{3} g + {\left(c^{3} d^{2} e^{2} - 3 \, b c^{2} d e^{3} + 3 \, {\left(b^{2} c + a c^{2}\right)} e^{4}\right)} f^{2} g^{2} + {\left(c^{3} d^{3} e - 3 \, b c^{2} d^{2} e^{2} + 3 \, {\left(b^{2} c + a c^{2}\right)} d e^{3} - {\left(b^{3} + 6 \, a b c\right)} e^{4}\right)} f g^{3} + {\left(c^{3} d^{4} - 3 \, b c^{2} d^{3} e + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{2} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} e^{4}\right)} g^{4}\right)} x}{60 \, e^{5} g^{5}}"," ",0,"(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4)*log(e*x + d)/(e^7*f - d*e^6*g) - (c^3*f^6 - 3*b*c^2*f^5*g - 3*a^2*b*f*g^5 + a^3*g^6 + 3*(b^2*c + a*c^2)*f^4*g^2 - (b^3 + 6*a*b*c)*f^3*g^3 + 3*(a*b^2 + a^2*c)*f^2*g^4)*log(g*x + f)/(e*f*g^6 - d*g^7) + 1/60*(12*c^3*e^4*g^4*x^5 - 15*(c^3*e^4*f*g^3 + (c^3*d*e^3 - 3*b*c^2*e^4)*g^4)*x^4 + 20*(c^3*e^4*f^2*g^2 + (c^3*d*e^3 - 3*b*c^2*e^4)*f*g^3 + (c^3*d^2*e^2 - 3*b*c^2*d*e^3 + 3*(b^2*c + a*c^2)*e^4)*g^4)*x^3 - 30*(c^3*e^4*f^3*g + (c^3*d*e^3 - 3*b*c^2*e^4)*f^2*g^2 + (c^3*d^2*e^2 - 3*b*c^2*d*e^3 + 3*(b^2*c + a*c^2)*e^4)*f*g^3 + (c^3*d^3*e - 3*b*c^2*d^2*e^2 + 3*(b^2*c + a*c^2)*d*e^3 - (b^3 + 6*a*b*c)*e^4)*g^4)*x^2 + 60*(c^3*e^4*f^4 + (c^3*d*e^3 - 3*b*c^2*e^4)*f^3*g + (c^3*d^2*e^2 - 3*b*c^2*d*e^3 + 3*(b^2*c + a*c^2)*e^4)*f^2*g^2 + (c^3*d^3*e - 3*b*c^2*d^2*e^2 + 3*(b^2*c + a*c^2)*d*e^3 - (b^3 + 6*a*b*c)*e^4)*f*g^3 + (c^3*d^4 - 3*b*c^2*d^3*e + 3*(b^2*c + a*c^2)*d^2*e^2 - (b^3 + 6*a*b*c)*d*e^3 + 3*(a*b^2 + a^2*c)*e^4)*g^4)*x)/(e^5*g^5)","A",0
817,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)/(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
818,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)/(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
819,1,429,0,0.458591," ","integrate((e*x+d)^3*(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(g x + f\right)}^{\frac{11}{2}} c e^{3} - 385 \, {\left(5 \, c e^{3} f - {\left(3 \, c d e^{2} + b e^{3}\right)} g\right)} {\left(g x + f\right)}^{\frac{9}{2}} + 495 \, {\left(10 \, c e^{3} f^{2} - 4 \, {\left(3 \, c d e^{2} + b e^{3}\right)} f g + {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} g^{2}\right)} {\left(g x + f\right)}^{\frac{7}{2}} - 693 \, {\left(10 \, c e^{3} f^{3} - 6 \, {\left(3 \, c d e^{2} + b e^{3}\right)} f^{2} g + 3 \, {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} f g^{2} - {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} g^{3}\right)} {\left(g x + f\right)}^{\frac{5}{2}} + 1155 \, {\left(5 \, c e^{3} f^{4} - 4 \, {\left(3 \, c d e^{2} + b e^{3}\right)} f^{3} g + 3 \, {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} f^{2} g^{2} - 2 \, {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} f g^{3} + {\left(b d^{3} + 3 \, a d^{2} e\right)} g^{4}\right)} {\left(g x + f\right)}^{\frac{3}{2}} - 3465 \, {\left(c e^{3} f^{5} - a d^{3} g^{5} - {\left(3 \, c d e^{2} + b e^{3}\right)} f^{4} g + {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} f^{3} g^{2} - {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} f^{2} g^{3} + {\left(b d^{3} + 3 \, a d^{2} e\right)} f g^{4}\right)} \sqrt{g x + f}\right)}}{3465 \, g^{6}}"," ",0,"2/3465*(315*(g*x + f)^(11/2)*c*e^3 - 385*(5*c*e^3*f - (3*c*d*e^2 + b*e^3)*g)*(g*x + f)^(9/2) + 495*(10*c*e^3*f^2 - 4*(3*c*d*e^2 + b*e^3)*f*g + (3*c*d^2*e + 3*b*d*e^2 + a*e^3)*g^2)*(g*x + f)^(7/2) - 693*(10*c*e^3*f^3 - 6*(3*c*d*e^2 + b*e^3)*f^2*g + 3*(3*c*d^2*e + 3*b*d*e^2 + a*e^3)*f*g^2 - (c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*g^3)*(g*x + f)^(5/2) + 1155*(5*c*e^3*f^4 - 4*(3*c*d*e^2 + b*e^3)*f^3*g + 3*(3*c*d^2*e + 3*b*d*e^2 + a*e^3)*f^2*g^2 - 2*(c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*f*g^3 + (b*d^3 + 3*a*d^2*e)*g^4)*(g*x + f)^(3/2) - 3465*(c*e^3*f^5 - a*d^3*g^5 - (3*c*d*e^2 + b*e^3)*f^4*g + (3*c*d^2*e + 3*b*d*e^2 + a*e^3)*f^3*g^2 - (c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*f^2*g^3 + (b*d^3 + 3*a*d^2*e)*f*g^4)*sqrt(g*x + f))/g^6","A",0
820,1,261,0,0.448929," ","integrate((e*x+d)^2*(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(g x + f\right)}^{\frac{9}{2}} c e^{2} - 45 \, {\left(4 \, c e^{2} f - {\left(2 \, c d e + b e^{2}\right)} g\right)} {\left(g x + f\right)}^{\frac{7}{2}} + 63 \, {\left(6 \, c e^{2} f^{2} - 3 \, {\left(2 \, c d e + b e^{2}\right)} f g + {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} g^{2}\right)} {\left(g x + f\right)}^{\frac{5}{2}} - 105 \, {\left(4 \, c e^{2} f^{3} - 3 \, {\left(2 \, c d e + b e^{2}\right)} f^{2} g + 2 \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} f g^{2} - {\left(b d^{2} + 2 \, a d e\right)} g^{3}\right)} {\left(g x + f\right)}^{\frac{3}{2}} + 315 \, {\left(c e^{2} f^{4} + a d^{2} g^{4} - {\left(2 \, c d e + b e^{2}\right)} f^{3} g + {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} f^{2} g^{2} - {\left(b d^{2} + 2 \, a d e\right)} f g^{3}\right)} \sqrt{g x + f}\right)}}{315 \, g^{5}}"," ",0,"2/315*(35*(g*x + f)^(9/2)*c*e^2 - 45*(4*c*e^2*f - (2*c*d*e + b*e^2)*g)*(g*x + f)^(7/2) + 63*(6*c*e^2*f^2 - 3*(2*c*d*e + b*e^2)*f*g + (c*d^2 + 2*b*d*e + a*e^2)*g^2)*(g*x + f)^(5/2) - 105*(4*c*e^2*f^3 - 3*(2*c*d*e + b*e^2)*f^2*g + 2*(c*d^2 + 2*b*d*e + a*e^2)*f*g^2 - (b*d^2 + 2*a*d*e)*g^3)*(g*x + f)^(3/2) + 315*(c*e^2*f^4 + a*d^2*g^4 - (2*c*d*e + b*e^2)*f^3*g + (c*d^2 + 2*b*d*e + a*e^2)*f^2*g^2 - (b*d^2 + 2*a*d*e)*f*g^3)*sqrt(g*x + f))/g^5","A",0
821,1,129,0,0.456542," ","integrate((e*x+d)*(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(g x + f\right)}^{\frac{7}{2}} c e - 21 \, {\left(3 \, c e f - {\left(c d + b e\right)} g\right)} {\left(g x + f\right)}^{\frac{5}{2}} + 35 \, {\left(3 \, c e f^{2} - 2 \, {\left(c d + b e\right)} f g + {\left(b d + a e\right)} g^{2}\right)} {\left(g x + f\right)}^{\frac{3}{2}} - 105 \, {\left(c e f^{3} - a d g^{3} - {\left(c d + b e\right)} f^{2} g + {\left(b d + a e\right)} f g^{2}\right)} \sqrt{g x + f}\right)}}{105 \, g^{4}}"," ",0,"2/105*(15*(g*x + f)^(7/2)*c*e - 21*(3*c*e*f - (c*d + b*e)*g)*(g*x + f)^(5/2) + 35*(3*c*e*f^2 - 2*(c*d + b*e)*f*g + (b*d + a*e)*g^2)*(g*x + f)^(3/2) - 105*(c*e*f^3 - a*d*g^3 - (c*d + b*e)*f^2*g + (b*d + a*e)*f*g^2)*sqrt(g*x + f))/g^4","A",0
822,1,77,0,0.442195," ","integrate((c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, \sqrt{g x + f} a + \frac{5 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} b}{g} + \frac{{\left(3 \, {\left(g x + f\right)}^{\frac{5}{2}} - 10 \, {\left(g x + f\right)}^{\frac{3}{2}} f + 15 \, \sqrt{g x + f} f^{2}\right)} c}{g^{2}}\right)}}{15 \, g}"," ",0,"2/15*(15*sqrt(g*x + f)*a + 5*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*b/g + (3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*c/g^2)/g","A",0
823,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
824,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^2/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
825,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^3/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
826,1,437,0,0.462417," ","integrate((e*x+d)^3*(c*x^2+b*x+a)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(g x + f\right)}^{\frac{9}{2}} c e^{3} - 45 \, {\left(5 \, c e^{3} f - {\left(3 \, c d e^{2} + b e^{3}\right)} g\right)} {\left(g x + f\right)}^{\frac{7}{2}} + 63 \, {\left(10 \, c e^{3} f^{2} - 4 \, {\left(3 \, c d e^{2} + b e^{3}\right)} f g + {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} g^{2}\right)} {\left(g x + f\right)}^{\frac{5}{2}} - 105 \, {\left(10 \, c e^{3} f^{3} - 6 \, {\left(3 \, c d e^{2} + b e^{3}\right)} f^{2} g + 3 \, {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} f g^{2} - {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} g^{3}\right)} {\left(g x + f\right)}^{\frac{3}{2}} + 315 \, {\left(5 \, c e^{3} f^{4} - 4 \, {\left(3 \, c d e^{2} + b e^{3}\right)} f^{3} g + 3 \, {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} f^{2} g^{2} - 2 \, {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} f g^{3} + {\left(b d^{3} + 3 \, a d^{2} e\right)} g^{4}\right)} \sqrt{g x + f}}{g^{5}} + \frac{315 \, {\left(c e^{3} f^{5} - a d^{3} g^{5} - {\left(3 \, c d e^{2} + b e^{3}\right)} f^{4} g + {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} f^{3} g^{2} - {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} f^{2} g^{3} + {\left(b d^{3} + 3 \, a d^{2} e\right)} f g^{4}\right)}}{\sqrt{g x + f} g^{5}}\right)}}{315 \, g}"," ",0,"2/315*((35*(g*x + f)^(9/2)*c*e^3 - 45*(5*c*e^3*f - (3*c*d*e^2 + b*e^3)*g)*(g*x + f)^(7/2) + 63*(10*c*e^3*f^2 - 4*(3*c*d*e^2 + b*e^3)*f*g + (3*c*d^2*e + 3*b*d*e^2 + a*e^3)*g^2)*(g*x + f)^(5/2) - 105*(10*c*e^3*f^3 - 6*(3*c*d*e^2 + b*e^3)*f^2*g + 3*(3*c*d^2*e + 3*b*d*e^2 + a*e^3)*f*g^2 - (c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*g^3)*(g*x + f)^(3/2) + 315*(5*c*e^3*f^4 - 4*(3*c*d*e^2 + b*e^3)*f^3*g + 3*(3*c*d^2*e + 3*b*d*e^2 + a*e^3)*f^2*g^2 - 2*(c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*f*g^3 + (b*d^3 + 3*a*d^2*e)*g^4)*sqrt(g*x + f))/g^5 + 315*(c*e^3*f^5 - a*d^3*g^5 - (3*c*d*e^2 + b*e^3)*f^4*g + (3*c*d^2*e + 3*b*d*e^2 + a*e^3)*f^3*g^2 - (c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*f^2*g^3 + (b*d^3 + 3*a*d^2*e)*f*g^4)/(sqrt(g*x + f)*g^5))/g","A",0
827,1,269,0,0.445208," ","integrate((e*x+d)^2*(c*x^2+b*x+a)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{15 \, {\left(g x + f\right)}^{\frac{7}{2}} c e^{2} - 21 \, {\left(4 \, c e^{2} f - {\left(2 \, c d e + b e^{2}\right)} g\right)} {\left(g x + f\right)}^{\frac{5}{2}} + 35 \, {\left(6 \, c e^{2} f^{2} - 3 \, {\left(2 \, c d e + b e^{2}\right)} f g + {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} g^{2}\right)} {\left(g x + f\right)}^{\frac{3}{2}} - 105 \, {\left(4 \, c e^{2} f^{3} - 3 \, {\left(2 \, c d e + b e^{2}\right)} f^{2} g + 2 \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} f g^{2} - {\left(b d^{2} + 2 \, a d e\right)} g^{3}\right)} \sqrt{g x + f}}{g^{4}} - \frac{105 \, {\left(c e^{2} f^{4} + a d^{2} g^{4} - {\left(2 \, c d e + b e^{2}\right)} f^{3} g + {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} f^{2} g^{2} - {\left(b d^{2} + 2 \, a d e\right)} f g^{3}\right)}}{\sqrt{g x + f} g^{4}}\right)}}{105 \, g}"," ",0,"2/105*((15*(g*x + f)^(7/2)*c*e^2 - 21*(4*c*e^2*f - (2*c*d*e + b*e^2)*g)*(g*x + f)^(5/2) + 35*(6*c*e^2*f^2 - 3*(2*c*d*e + b*e^2)*f*g + (c*d^2 + 2*b*d*e + a*e^2)*g^2)*(g*x + f)^(3/2) - 105*(4*c*e^2*f^3 - 3*(2*c*d*e + b*e^2)*f^2*g + 2*(c*d^2 + 2*b*d*e + a*e^2)*f*g^2 - (b*d^2 + 2*a*d*e)*g^3)*sqrt(g*x + f))/g^4 - 105*(c*e^2*f^4 + a*d^2*g^4 - (2*c*d*e + b*e^2)*f^3*g + (c*d^2 + 2*b*d*e + a*e^2)*f^2*g^2 - (b*d^2 + 2*a*d*e)*f*g^3)/(sqrt(g*x + f)*g^4))/g","A",0
828,1,137,0,0.443012," ","integrate((e*x+d)*(c*x^2+b*x+a)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(g x + f\right)}^{\frac{5}{2}} c e - 5 \, {\left(3 \, c e f - {\left(c d + b e\right)} g\right)} {\left(g x + f\right)}^{\frac{3}{2}} + 15 \, {\left(3 \, c e f^{2} - 2 \, {\left(c d + b e\right)} f g + {\left(b d + a e\right)} g^{2}\right)} \sqrt{g x + f}}{g^{3}} + \frac{15 \, {\left(c e f^{3} - a d g^{3} - {\left(c d + b e\right)} f^{2} g + {\left(b d + a e\right)} f g^{2}\right)}}{\sqrt{g x + f} g^{3}}\right)}}{15 \, g}"," ",0,"2/15*((3*(g*x + f)^(5/2)*c*e - 5*(3*c*e*f - (c*d + b*e)*g)*(g*x + f)^(3/2) + 15*(3*c*e*f^2 - 2*(c*d + b*e)*f*g + (b*d + a*e)*g^2)*sqrt(g*x + f))/g^3 + 15*(c*e*f^3 - a*d*g^3 - (c*d + b*e)*f^2*g + (b*d + a*e)*f*g^2)/(sqrt(g*x + f)*g^3))/g","A",0
829,1,66,0,0.440934," ","integrate((c*x^2+b*x+a)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(g x + f\right)}^{\frac{3}{2}} c - 3 \, {\left(2 \, c f - b g\right)} \sqrt{g x + f}}{g^{2}} - \frac{3 \, {\left(c f^{2} - b f g + a g^{2}\right)}}{\sqrt{g x + f} g^{2}}\right)}}{3 \, g}"," ",0,"2/3*(((g*x + f)^(3/2)*c - 3*(2*c*f - b*g)*sqrt(g*x + f))/g^2 - 3*(c*f^2 - b*f*g + a*g^2)/(sqrt(g*x + f)*g^2))/g","A",0
830,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
831,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^2/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
832,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^3/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
833,0,0,0,0.000000," ","integrate((-1+x)^(1/2)*(1+x)^(1/2)/(-x^2+x+1),x, algorithm=""maxima"")","-\int \frac{\sqrt{x + 1} \sqrt{x - 1}}{x^{2} - x - 1}\,{d x}"," ",0,"-integrate(sqrt(x + 1)*sqrt(x - 1)/(x^2 - x - 1), x)","F",0
834,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^(1/2)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f zero or nonzero?","F(-2)",0
835,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x+a)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f zero or nonzero?","F(-2)",0
836,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x+a)/(g*x+f)^(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(g>0)', see `assume?` for more details)Is g positive, negative or zero?","F(-2)",0
837,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^(1/2)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f zero or nonzero?","F(-2)",0
838,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^(3/2)/(g*x+f)^(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(g>0)', see `assume?` for more details)Is g positive or negative?","F(-2)",0
839,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^(5/2)/(g*x+f)^(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(g>0)', see `assume?` for more details)Is g positive or negative?","F(-2)",0
840,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^(7/2)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f zero or nonzero?","F(-2)",0
841,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^(9/2)/(g*x+f)^(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(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f zero or nonzero?","F(-2)",0
842,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x+a)/(f*x+e)^(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(d*f-e^2>0)', see `assume?` for more details)Is d*f-e^2 zero or nonzero?","F(-2)",0
843,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(8*e^2*x^2+20*d*e*x+15*d^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-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
844,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(8*e^2*x^2+20*d*e*x+15*d^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-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
845,-2,0,0,0.000000," ","integrate((8*e^2*x^2+20*d*e*x+15*d^2)/(e*x+d)^(1/2)/(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-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
846,-2,0,0,0.000000," ","integrate((8*e^2*x^2+20*d*e*x+15*d^2)/(e*x+d)^(3/2)/(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-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
847,-2,0,0,0.000000," ","integrate((8*e^2*x^2+20*d*e*x+15*d^2)/(e*x+d)^(5/2)/(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-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
848,-2,0,0,0.000000," ","integrate((8*e^2*x^2+20*d*e*x+15*d^2)/(e*x+d)^(7/2)/(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-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
849,-2,0,0,0.000000," ","integrate((8*e^2*x^2+20*d*e*x+15*d^2)/(e*x+d)^(9/2)/(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-b*d>0)', see `assume?` for more details)Is a*e-b*d zero or nonzero?","F(-2)",0
850,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}}}{{\left(c x^{2} + b x + a\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)/((c*x^2 + b*x + a)*sqrt(g*x + f)), x)","F",0
851,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{{\left(c x^{2} + b x + a\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/((c*x^2 + b*x + a)*sqrt(g*x + f)), x)","F",0
852,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)} \sqrt{e x + d} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)*sqrt(e*x + d)*sqrt(g*x + f)), x)","F",0
853,0,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)} {\left(e x + d\right)}^{\frac{3}{2}} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)*(e*x + d)^(3/2)*sqrt(g*x + f)), x)","F",0
854,-2,0,0,0.000000," ","integrate((g*x+f)^3*(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
855,-2,0,0,0.000000," ","integrate((g*x+f)^2*(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
856,-2,0,0,0.000000," ","integrate((g*x+f)*(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
857,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
858,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)/(g*x+f),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f zero or nonzero?","F(-2)",0
859,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(e x + d\right)} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/((e*x + d)*(g*x + f)^2), x)","F",0
860,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)/(g*x+f)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(e x + d\right)} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/((e*x + d)*(g*x + f)^3), x)","F",0
861,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)/(g*x+f)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(e x + d\right)} {\left(g x + f\right)}^{4}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/((e*x + d)*(g*x + f)^4), x)","F",0
862,-2,0,0,0.000000," ","integrate((g*x+f)^3*(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
863,-2,0,0,0.000000," ","integrate((g*x+f)^2*(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
864,-2,0,0,0.000000," ","integrate((g*x+f)*(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
865,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
866,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)/(g*x+f),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f zero or nonzero?","F(-2)",0
867,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/((e*x + d)*(g*x + f)^2), x)","F",0
868,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)/(g*x+f)^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}{{\left(e x + d\right)} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)/((e*x + d)*(g*x + f)^3), x)","F",0
869,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)/(g*x+f),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f zero or nonzero?","F(-2)",0
870,-2,0,0,0.000000," ","integrate((g*x+f)^4/(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
871,-2,0,0,0.000000," ","integrate((g*x+f)^3/(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
872,-2,0,0,0.000000," ","integrate((g*x+f)^2/(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
873,-2,0,0,0.000000," ","integrate((g*x+f)/(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
874,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
875,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)*(g*x + f)), x)","F",0
876,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)*(g*x + f)^2), x)","F",0
877,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^3/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)*(g*x + f)^3), x)","F",0
878,-2,0,0,0.000000," ","integrate((g*x+f)^4/(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
879,-2,0,0,0.000000," ","integrate((g*x+f)^3/(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
880,-2,0,0,0.000000," ","integrate((g*x+f)^2/(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
881,-2,0,0,0.000000," ","integrate((g*x+f)/(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
882,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2    positive, negative or zero?","F(-2)",0
883,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(e x + d\right)} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(3/2)*(e*x + d)*(g*x + f)), x)","F",0
884,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^2/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(e x + d\right)} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(3/2)*(e*x + d)*(g*x + f)^2), x)","F",0
885,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^3/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(e x + d\right)} {\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate(1/((c*x^2 + b*x + a)^(3/2)*(e*x + d)*(g*x + f)^3), x)","F",0
886,0,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)^(1/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{3} \sqrt{g x + f}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)^3*sqrt(g*x + f), x)","F",0
887,0,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)^(1/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{2} \sqrt{g x + f}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)^2*sqrt(g*x + f), x)","F",0
888,0,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)^(1/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(e x + d\right)} \sqrt{g x + f}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)*sqrt(g*x + f), x)","F",0
889,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} \sqrt{g x + f}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*sqrt(g*x + f), x)","F",0
890,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} \sqrt{g x + f}}{e x + d}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*sqrt(g*x + f)/(e*x + d), x)","F",0
891,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} \sqrt{g x + f}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*sqrt(g*x + f)/(e*x + d)^2, x)","F",0
892,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} \sqrt{g x + f}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*sqrt(g*x + f)/(e*x + d)^3, x)","F",0
893,0,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^2+b*x+a)^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{3}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)^3/sqrt(g*x + f), x)","F",0
894,0,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^2+b*x+a)^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{2}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)^2/sqrt(g*x + f), x)","F",0
895,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^2+b*x+a)^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)/sqrt(g*x + f), x)","F",0
896,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/sqrt(g*x + f), x)","F",0
897,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(e x + d\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/((e*x + d)*sqrt(g*x + f)), x)","F",0
898,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^2/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(e x + d\right)}^{2} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/((e*x + d)^2*sqrt(g*x + f)), x)","F",0
899,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)^3/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a}}{{\left(e x + d\right)}^{3} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)/((e*x + d)^3*sqrt(g*x + f)), x)","F",0
900,0,0,0,0.000000," ","integrate((e*x+d)^3*(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3} \sqrt{g x + f}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((e*x + d)^3*sqrt(g*x + f)/sqrt(c*x^2 + b*x + a), x)","F",0
901,0,0,0,0.000000," ","integrate((e*x+d)^2*(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2} \sqrt{g x + f}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((e*x + d)^2*sqrt(g*x + f)/sqrt(c*x^2 + b*x + a), x)","F",0
902,0,0,0,0.000000," ","integrate((e*x+d)*(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)} \sqrt{g x + f}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((e*x + d)*sqrt(g*x + f)/sqrt(c*x^2 + b*x + a), x)","F",0
903,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/sqrt(c*x^2 + b*x + a), x)","F",0
904,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/(sqrt(c*x^2 + b*x + a)*(e*x + d)), x)","F",0
905,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/(sqrt(c*x^2 + b*x + a)*(e*x + d)^2), x)","F",0
906,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^3/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/(sqrt(c*x^2 + b*x + a)*(e*x + d)^3), x)","F",0
907,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)/(e*x+d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{\frac{3}{2}}}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate((g*x + f)^(3/2)/(sqrt(c*x^2 + b*x + a)*(e*x + d)), x)","F",0
908,0,0,0,0.000000," ","integrate((g*x+f)^(5/2)/(e*x+d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{\frac{5}{2}}}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate((g*x + f)^(5/2)/(sqrt(c*x^2 + b*x + a)*(e*x + d)), x)","F",0
909,0,0,0,0.000000," ","integrate((e*x+d)^3/(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3}}{\sqrt{c x^{2} + b x + a} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)^3/(sqrt(c*x^2 + b*x + a)*sqrt(g*x + f)), x)","F",0
910,0,0,0,0.000000," ","integrate((e*x+d)^2/(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{\sqrt{c x^{2} + b x + a} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)^2/(sqrt(c*x^2 + b*x + a)*sqrt(g*x + f)), x)","F",0
911,0,0,0,0.000000," ","integrate((e*x+d)/(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x + d}{\sqrt{c x^{2} + b x + a} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((e*x + d)/(sqrt(c*x^2 + b*x + a)*sqrt(g*x + f)), x)","F",0
912,0,0,0,0.000000," ","integrate(1/(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*sqrt(g*x + f)), x)","F",0
913,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)*sqrt(g*x + f)), x)","F",0
914,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{2} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)^2*sqrt(g*x + f)), x)","F",0
915,0,0,0,0.000000," ","integrate(1/(e*x+d)^3/(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{3} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)^3*sqrt(g*x + f)), x)","F",0
916,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^(3/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)*(g*x + f)^(3/2)), x)","F",0
917,0,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^(5/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)} {\left(g x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*(e*x + d)*(g*x + f)^(5/2)), x)","F",0
918,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d}}{\sqrt{c x^{2} + b x + a} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)/(sqrt(c*x^2 + b*x + a)*sqrt(g*x + f)), x)","F",0
919,0,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(g*x+f)^(1/2)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} \sqrt{e x + d} \sqrt{g x + f}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*sqrt(e*x + d)*sqrt(g*x + f)), x)","F",0
920,1,684,0,0.576599," ","integrate((e*x+d)^m*(g*x+f)^2*(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 f^{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 f g}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a f^{2}}{e {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c f^{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} b f g}{{\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 g^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{2 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} c f g}{{\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} b g^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c g^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}}"," ",0,"(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*b*f^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*f*g/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a*f^2/(e*(m + 1)) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c*f^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*b*f*g/((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*g^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*c*f*g/((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*b*g^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c*g^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5)","B",0
921,1,352,0,0.519534," ","integrate((e*x+d)^m*(g*x+f)*(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 f}{{\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 g}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a f}{e {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} c f}{{\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} b g}{{\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 g}{{\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*f/((m^2 + 3*m + 2)*e^2) + (e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a*g/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a*f/(e*(m + 1)) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*c*f/((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*b*g/((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*g/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4)","B",0
922,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)/(g*x+f),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)} {\left(e x + d\right)}^{m}}{g x + f}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)*(e*x + d)^m/(g*x + f), x)","F",0
923,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)} {\left(e x + d\right)}^{m}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)*(e*x + d)^m/(g*x + f)^2, x)","F",0
924,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)/(g*x+f)^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)} {\left(e x + d\right)}^{m}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)*(e*x + d)^m/(g*x + f)^3, x)","F",0
925,1,2034,0,0.787082," ","integrate((e*x+d)^m*(g*x+f)^2*(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 f^{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} f g}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{2} f^{2}}{e {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} b^{2} f^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{2 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a c f^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{4 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a b f g}{{\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^{2} g^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{2 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} b c f^{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^{2} f g}{{\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 f g}{{\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 g^{2}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{2} f^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \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 c f g}{{\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} b^{2} g^{2}}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \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} a c g^{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^{2} f g}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \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} b c g^{2}}{{\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{6}} + \frac{{\left({\left(m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720\right)} e^{7} x^{7} + {\left(m^{6} + 15 \, m^{5} + 85 \, m^{4} + 225 \, m^{3} + 274 \, m^{2} + 120 \, m\right)} d e^{6} x^{6} - 6 \, {\left(m^{5} + 10 \, m^{4} + 35 \, m^{3} + 50 \, m^{2} + 24 \, m\right)} d^{2} e^{5} x^{5} + 30 \, {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d^{3} e^{4} x^{4} - 120 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{4} e^{3} x^{3} + 360 \, {\left(m^{2} + m\right)} d^{5} e^{2} x^{2} - 720 \, d^{6} e m x + 720 \, d^{7}\right)} {\left(e x + d\right)}^{m} c^{2} g^{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}}"," ",0,"2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a*b*f^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*f*g/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^2*f^2/(e*(m + 1)) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*b^2*f^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a*c*f^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 4*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a*b*f*g/((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^2*g^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*b*c*f^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^2*f*g/((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*f*g/((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*g^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^2*f^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 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*c*f*g/((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*b^2*g^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 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*a*c*g^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^2*f*g/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 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*b*c*g^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + ((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*c^2*g^2/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7)","B",0
926,1,1118,0,0.669300," ","integrate((e*x+d)^m*(g*x+f)*(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 f}{{\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^{2} g}{{\left(m^{2} + 3 \, m + 2\right)} e^{2}} + \frac{{\left(e x + d\right)}^{m + 1} a^{2} f}{e {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} b^{2} f}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{2 \, {\left({\left(m^{2} + 3 \, m + 2\right)} e^{3} x^{3} + {\left(m^{2} + m\right)} d e^{2} x^{2} - 2 \, d^{2} e m x + 2 \, d^{3}\right)} {\left(e x + d\right)}^{m} a c f}{{\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 b g}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{3}} + \frac{2 \, {\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} e^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d e^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} d^{2} e^{2} x^{2} + 6 \, d^{3} e m x - 6 \, d^{4}\right)} {\left(e x + d\right)}^{m} b c f}{{\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} b^{2} g}{{\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 c g}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{4}} + \frac{{\left({\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} e^{5} x^{5} + {\left(m^{4} + 6 \, m^{3} + 11 \, m^{2} + 6 \, m\right)} d e^{4} x^{4} - 4 \, {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} d^{2} e^{3} x^{3} + 12 \, {\left(m^{2} + m\right)} d^{3} e^{2} x^{2} - 24 \, d^{4} e m x + 24 \, d^{5}\right)} {\left(e x + d\right)}^{m} c^{2} f}{{\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)} e^{5}} + \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 c g}{{\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} c^{2} g}{{\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*f/((m^2 + 3*m + 2)*e^2) + (e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^2*g/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^2*f/(e*(m + 1)) + ((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*b^2*f/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a*c*f/((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*b*g/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*b*c*f/((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*b^2*g/((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*c*g/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*c^2*f/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 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*c*g/((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*c^2*g/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6)","B",0
927,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^2/(g*x+f),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{2} {\left(e x + d\right)}^{m}}{g x + f}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^2*(e*x + d)^m/(g*x + f), x)","F",0
928,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^2/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{2} {\left(e x + d\right)}^{m}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^2*(e*x + d)^m/(g*x + f)^2, x)","F",0
929,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^2/(g*x+f)^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{2} {\left(e x + d\right)}^{m}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^2*(e*x + d)^m/(g*x + f)^3, x)","F",0
930,0,0,0,0.000000," ","integrate((2+3*x)^4*(1+4*x)^m/(3*x^2-5*x+1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m} {\left(3 \, x + 2\right)}^{4}}{3 \, x^{2} - 5 \, x + 1}\,{d x}"," ",0,"integrate((4*x + 1)^m*(3*x + 2)^4/(3*x^2 - 5*x + 1), x)","F",0
931,0,0,0,0.000000," ","integrate((2+3*x)^3*(1+4*x)^m/(3*x^2-5*x+1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m} {\left(3 \, x + 2\right)}^{3}}{3 \, x^{2} - 5 \, x + 1}\,{d x}"," ",0,"integrate((4*x + 1)^m*(3*x + 2)^3/(3*x^2 - 5*x + 1), x)","F",0
932,0,0,0,0.000000," ","integrate((2+3*x)^2*(1+4*x)^m/(3*x^2-5*x+1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m} {\left(3 \, x + 2\right)}^{2}}{3 \, x^{2} - 5 \, x + 1}\,{d x}"," ",0,"integrate((4*x + 1)^m*(3*x + 2)^2/(3*x^2 - 5*x + 1), x)","F",0
933,0,0,0,0.000000," ","integrate((2+3*x)*(1+4*x)^m/(3*x^2-5*x+1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m} {\left(3 \, x + 2\right)}}{3 \, x^{2} - 5 \, x + 1}\,{d x}"," ",0,"integrate((4*x + 1)^m*(3*x + 2)/(3*x^2 - 5*x + 1), x)","F",0
934,0,0,0,0.000000," ","integrate((1+4*x)^m/(3*x^2-5*x+1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m}}{3 \, x^{2} - 5 \, x + 1}\,{d x}"," ",0,"integrate((4*x + 1)^m/(3*x^2 - 5*x + 1), x)","F",0
935,0,0,0,0.000000," ","integrate((1+4*x)^m/(2+3*x)/(3*x^2-5*x+1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m}}{{\left(3 \, x^{2} - 5 \, x + 1\right)} {\left(3 \, x + 2\right)}}\,{d x}"," ",0,"integrate((4*x + 1)^m/((3*x^2 - 5*x + 1)*(3*x + 2)), x)","F",0
936,0,0,0,0.000000," ","integrate((1+4*x)^m/(2+3*x)^2/(3*x^2-5*x+1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m}}{{\left(3 \, x^{2} - 5 \, x + 1\right)} {\left(3 \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate((4*x + 1)^m/((3*x^2 - 5*x + 1)*(3*x + 2)^2), x)","F",0
937,0,0,0,0.000000," ","integrate((2+3*x)^4*(1+4*x)^m/(3*x^2-5*x+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m} {\left(3 \, x + 2\right)}^{4}}{{\left(3 \, x^{2} - 5 \, x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((4*x + 1)^m*(3*x + 2)^4/(3*x^2 - 5*x + 1)^2, x)","F",0
938,0,0,0,0.000000," ","integrate((2+3*x)^3*(1+4*x)^m/(3*x^2-5*x+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m} {\left(3 \, x + 2\right)}^{3}}{{\left(3 \, x^{2} - 5 \, x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((4*x + 1)^m*(3*x + 2)^3/(3*x^2 - 5*x + 1)^2, x)","F",0
939,0,0,0,0.000000," ","integrate((2+3*x)^2*(1+4*x)^m/(3*x^2-5*x+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m} {\left(3 \, x + 2\right)}^{2}}{{\left(3 \, x^{2} - 5 \, x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((4*x + 1)^m*(3*x + 2)^2/(3*x^2 - 5*x + 1)^2, x)","F",0
940,0,0,0,0.000000," ","integrate((2+3*x)*(1+4*x)^m/(3*x^2-5*x+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m} {\left(3 \, x + 2\right)}}{{\left(3 \, x^{2} - 5 \, x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((4*x + 1)^m*(3*x + 2)/(3*x^2 - 5*x + 1)^2, x)","F",0
941,0,0,0,0.000000," ","integrate((1+4*x)^m/(3*x^2-5*x+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m}}{{\left(3 \, x^{2} - 5 \, x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((4*x + 1)^m/(3*x^2 - 5*x + 1)^2, x)","F",0
942,0,0,0,0.000000," ","integrate((1+4*x)^m/(2+3*x)/(3*x^2-5*x+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m}}{{\left(3 \, x^{2} - 5 \, x + 1\right)}^{2} {\left(3 \, x + 2\right)}}\,{d x}"," ",0,"integrate((4*x + 1)^m/((3*x^2 - 5*x + 1)^2*(3*x + 2)), x)","F",0
943,0,0,0,0.000000," ","integrate((1+4*x)^m/(2+3*x)^2/(3*x^2-5*x+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(4 \, x + 1\right)}^{m}}{{\left(3 \, x^{2} - 5 \, x + 1\right)}^{2} {\left(3 \, x + 2\right)}^{2}}\,{d x}"," ",0,"integrate((4*x + 1)^m/((3*x^2 - 5*x + 1)^2*(3*x + 2)^2), x)","F",0
944,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)/(f*x+e)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)} {\left(e x + d\right)}^{m}}{{\left(f x + e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)*(e*x + d)^m/(f*x + e)^(3/2), x)","F",0
945,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)^2*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(g x + f\right)}^{2} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(g*x + f)^2*(e*x + d)^m, x)","F",0
946,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(g x + f\right)} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(g*x + f)*(e*x + d)^m, x)","F",0
947,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)^m, x)","F",0
948,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^(1/2)/(g*x+f),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} + b x + a} {\left(e x + d\right)}^{m}}{g x + f}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(e*x + d)^m/(g*x + f), x)","F",0
949,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{2} {\left(e x + d\right)}^{m}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((g*x + f)^2*(e*x + d)^m/sqrt(c*x^2 + b*x + a), x)","F",0
950,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)} {\left(e x + d\right)}^{m}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((g*x + f)*(e*x + d)^m/sqrt(c*x^2 + b*x + a), x)","F",0
951,0,0,0,0.000000," ","integrate((e*x+d)^m/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((e*x + d)^m/sqrt(c*x^2 + b*x + a), x)","F",0
952,0,0,0,0.000000," ","integrate((e*x+d)^m/(g*x+f)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{m}}{\sqrt{c x^{2} + b x + a} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((e*x + d)^m/(sqrt(c*x^2 + b*x + a)*(g*x + f)), x)","F",0
953,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)^n*(c*x^2+b*x+a),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)} {\left(e x + d\right)}^{m} {\left(g x + f\right)}^{n}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)*(e*x + d)^m*(g*x + f)^n, x)","F",0
954,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)^2*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(g x + f\right)}^{2} {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((g*x + f)^2*(c*x^2 + b*x + a)^p*(e*x + d)^m, x)","F",0
955,0,0,0,0.000000," ","integrate((e*x+d)^m*(g*x+f)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(g x + f\right)} {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((g*x + f)*(c*x^2 + b*x + a)^p*(e*x + d)^m, x)","F",0
956,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(e*x + d)^m, x)","F",0
957,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^p/(g*x+f),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)}^{p} {\left(e x + d\right)}^{m}}{g x + f}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p*(e*x + d)^m/(g*x + f), x)","F",0
958,0,0,0,0.000000," ","integrate(1/x^2/(1-1/c^2/x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{e x + d} x^{2} \sqrt{-\frac{1}{c^{2} x^{2}} + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(e*x + d)*x^2*sqrt(-1/(c^2*x^2) + 1)), x)","F",0
