1,1,74,0,0.257681," ","integrate(x^2*(e*x+d)*(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, d^{5} \arcsin\left(\frac{x e}{d}\right) e^{\left(-3\right)} \mathrm{sgn}\left(d\right) - \frac{1}{120} \, {\left(16 \, d^{4} e^{\left(-3\right)} + {\left(15 \, d^{3} e^{\left(-2\right)} + 2 \, {\left(4 \, d^{2} e^{\left(-1\right)} - 3 \, {\left(4 \, x e + 5 \, d\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"1/8*d^5*arcsin(x*e/d)*e^(-3)*sgn(d) - 1/120*(16*d^4*e^(-3) + (15*d^3*e^(-2) + 2*(4*d^2*e^(-1) - 3*(4*x*e + 5*d)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
2,1,117,0,0.219884," ","integrate(x^4*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\frac{3}{128} \, d^{9} \arcsin\left(\frac{x e}{d}\right) e^{\left(-5\right)} \mathrm{sgn}\left(d\right) - \frac{1}{40320} \, {\left(1024 \, d^{8} e^{\left(-5\right)} + {\left(945 \, d^{7} e^{\left(-4\right)} + 2 \, {\left(256 \, d^{6} e^{\left(-3\right)} + {\left(315 \, d^{5} e^{\left(-2\right)} + 4 \, {\left(48 \, d^{4} e^{\left(-1\right)} - 5 \, {\left(189 \, d^{3} + 2 \, {\left(80 \, d^{2} e - 7 \, {\left(8 \, x e^{3} + 9 \, d e^{2}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"3/128*d^9*arcsin(x*e/d)*e^(-5)*sgn(d) - 1/40320*(1024*d^8*e^(-5) + (945*d^7*e^(-4) + 2*(256*d^6*e^(-3) + (315*d^5*e^(-2) + 4*(48*d^4*e^(-1) - 5*(189*d^3 + 2*(80*d^2*e - 7*(8*x*e^3 + 9*d*e^2)*x)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
3,1,106,0,0.225591," ","integrate(x^3*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\frac{3}{128} \, d^{8} \arcsin\left(\frac{x e}{d}\right) e^{\left(-4\right)} \mathrm{sgn}\left(d\right) - \frac{1}{4480} \, {\left(256 \, d^{7} e^{\left(-4\right)} + {\left(105 \, d^{6} e^{\left(-3\right)} + 2 \, {\left(64 \, d^{5} e^{\left(-2\right)} + {\left(35 \, d^{4} e^{\left(-1\right)} - 4 \, {\left(128 \, d^{3} + 5 \, {\left(21 \, d^{2} e - 2 \, {\left(7 \, x e^{3} + 8 \, d e^{2}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"3/128*d^8*arcsin(x*e/d)*e^(-4)*sgn(d) - 1/4480*(256*d^7*e^(-4) + (105*d^6*e^(-3) + 2*(64*d^5*e^(-2) + (35*d^4*e^(-1) - 4*(128*d^3 + 5*(21*d^2*e - 2*(7*x*e^3 + 8*d*e^2)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
4,1,96,0,0.226988," ","integrate(x^2*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\frac{1}{16} \, d^{7} \arcsin\left(\frac{x e}{d}\right) e^{\left(-3\right)} \mathrm{sgn}\left(d\right) - \frac{1}{1680} \, {\left(96 \, d^{6} e^{\left(-3\right)} + {\left(105 \, d^{5} e^{\left(-2\right)} + 2 \, {\left(24 \, d^{4} e^{\left(-1\right)} - {\left(245 \, d^{3} + 4 \, {\left(48 \, d^{2} e - 5 \, {\left(6 \, x e^{3} + 7 \, d e^{2}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"1/16*d^7*arcsin(x*e/d)*e^(-3)*sgn(d) - 1/1680*(96*d^6*e^(-3) + (105*d^5*e^(-2) + 2*(24*d^4*e^(-1) - (245*d^3 + 4*(48*d^2*e - 5*(6*x*e^3 + 7*d*e^2)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
5,1,84,0,0.211784," ","integrate(x*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\frac{1}{16} \, d^{6} \arcsin\left(\frac{x e}{d}\right) e^{\left(-2\right)} \mathrm{sgn}\left(d\right) - \frac{1}{240} \, {\left(48 \, d^{5} e^{\left(-2\right)} + {\left(15 \, d^{4} e^{\left(-1\right)} - 2 \, {\left(48 \, d^{3} + {\left(35 \, d^{2} e - 4 \, {\left(5 \, x e^{3} + 6 \, d e^{2}\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"1/16*d^6*arcsin(x*e/d)*e^(-2)*sgn(d) - 1/240*(48*d^5*e^(-2) + (15*d^4*e^(-1) - 2*(48*d^3 + (35*d^2*e - 4*(5*x*e^3 + 6*d*e^2)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
6,1,84,0,0.340018," ","integrate(x*(e*x+d)*(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\frac{1}{16} \, d^{6} \arcsin\left(\frac{x e}{d}\right) e^{\left(-2\right)} \mathrm{sgn}\left(d\right) - \frac{1}{240} \, {\left(48 \, d^{5} e^{\left(-2\right)} + {\left(15 \, d^{4} e^{\left(-1\right)} - 2 \, {\left(48 \, d^{3} + {\left(35 \, d^{2} e - 4 \, {\left(5 \, x e^{3} + 6 \, d e^{2}\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"1/16*d^6*arcsin(x*e/d)*e^(-2)*sgn(d) - 1/240*(48*d^5*e^(-2) + (15*d^4*e^(-1) - 2*(48*d^3 + (35*d^2*e - 4*(5*x*e^3 + 6*d*e^2)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
7,1,99,0,0.272704," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x,x, algorithm=""giac"")","\frac{3}{8} \, d^{4} \arcsin\left(\frac{x e}{d}\right) \mathrm{sgn}\left(d\right) - d^{4} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{1}{24} \, {\left(32 \, d^{3} + {\left(15 \, d^{2} e - 2 \, {\left(3 \, x e^{3} + 4 \, d e^{2}\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"3/8*d^4*arcsin(x*e/d)*sgn(d) - d^4*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/24*(32*d^3 + (15*d^2*e - 2*(3*x*e^3 + 4*d*e^2)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
8,1,157,0,0.254105," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^2,x, algorithm=""giac"")","-\frac{3}{2} \, d^{3} \arcsin\left(\frac{x e}{d}\right) e \mathrm{sgn}\left(d\right) - d^{3} e \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{d^{3} x e^{3}}{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}} - \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{3} e^{\left(-1\right)}}{2 \, x} + \frac{1}{6} \, \sqrt{-x^{2} e^{2} + d^{2}} {\left(8 \, d^{2} e - {\left(2 \, x e^{3} + 3 \, d e^{2}\right)} x\right)}"," ",0,"-3/2*d^3*arcsin(x*e/d)*e*sgn(d) - d^3*e*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/2*d^3*x*e^3/(d*e + sqrt(-x^2*e^2 + d^2)*e) - 1/2*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^3*e^(-1)/x + 1/6*sqrt(-x^2*e^2 + d^2)*(8*d^2*e - (2*x*e^3 + 3*d*e^2)*x)","A",0
9,1,217,0,0.276316," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^3,x, algorithm=""giac"")","-\frac{3}{2} \, d^{2} \arcsin\left(\frac{x e}{d}\right) e^{2} \mathrm{sgn}\left(d\right) + \frac{3}{2} \, d^{2} e^{2} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) - \frac{1}{8} \, {\left(\frac{4 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{2} e^{8}}{x} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{2} e^{6}}{x^{2}}\right)} e^{\left(-8\right)} - \frac{1}{2} \, \sqrt{-x^{2} e^{2} + d^{2}} {\left(x e^{3} + 2 \, d e^{2}\right)} + \frac{{\left(d^{2} e^{6} + \frac{4 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{2} e^{4}}{x}\right)} x^{2}}{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2}}"," ",0,"-3/2*d^2*arcsin(x*e/d)*e^2*sgn(d) + 3/2*d^2*e^2*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) - 1/8*(4*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^2*e^8/x + (d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^2*e^6/x^2)*e^(-8) - 1/2*sqrt(-x^2*e^2 + d^2)*(x*e^3 + 2*d*e^2) + 1/8*(d^2*e^6 + 4*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^2*e^4/x)*x^2/(d*e + sqrt(-x^2*e^2 + d^2)*e)^2","B",0
10,1,261,0,0.234393," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^4,x, algorithm=""giac"")","d \arcsin\left(\frac{x e}{d}\right) e^{3} \mathrm{sgn}\left(d\right) + \frac{3}{2} \, d e^{3} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{{\left(d e^{8} + \frac{3 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d e^{6}}{x} - \frac{15 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d e^{4}}{x^{2}}\right)} x^{3} e}{24 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3}} + \frac{1}{24} \, {\left(\frac{15 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d e^{16}}{x} - \frac{3 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d e^{14}}{x^{2}} - \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d e^{12}}{x^{3}}\right)} e^{\left(-15\right)} - \sqrt{-x^{2} e^{2} + d^{2}} e^{3}"," ",0,"d*arcsin(x*e/d)*e^3*sgn(d) + 3/2*d*e^3*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/24*(d*e^8 + 3*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d*e^6/x - 15*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d*e^4/x^2)*x^3*e/(d*e + sqrt(-x^2*e^2 + d^2)*e)^3 + 1/24*(15*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d*e^16/x - 3*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d*e^14/x^2 - (d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d*e^12/x^3)*e^(-15) - sqrt(-x^2*e^2 + d^2)*e^3","B",0
11,1,297,0,0.231729," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^5,x, algorithm=""giac"")","\arcsin\left(\frac{x e}{d}\right) e^{4} \mathrm{sgn}\left(d\right) + \frac{x^{4} {\left(\frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{8}}{x} - \frac{24 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{6}}{x^{2}} - \frac{120 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{4}}{x^{3}} + 3 \, e^{10}\right)} e^{2}}{192 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4}} + \frac{1}{192} \, {\left(\frac{120 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{26}}{x} + \frac{24 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{24}}{x^{2}} - \frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{22}}{x^{3}} - \frac{3 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{20}}{x^{4}}\right)} e^{\left(-24\right)} - \frac{3}{8} \, e^{4} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)"," ",0,"arcsin(x*e/d)*e^4*sgn(d) + 1/192*x^4*(8*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^8/x - 24*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^6/x^2 - 120*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^4/x^3 + 3*e^10)*e^2/(d*e + sqrt(-x^2*e^2 + d^2)*e)^4 + 1/192*(120*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^26/x + 24*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^24/x^2 - 8*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^22/x^3 - 3*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^20/x^4)*e^(-24) - 3/8*e^4*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))","B",0
12,1,368,0,0.245867," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^6,x, algorithm=""giac"")","\frac{x^{5} {\left(\frac{5 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{10}}{x} - \frac{10 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{8}}{x^{2}} - \frac{40 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{6}}{x^{3}} + \frac{20 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{4}}{x^{4}} + 2 \, e^{12}\right)} e^{3}}{320 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d} - \frac{3 \, e^{5} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{8 \, d} - \frac{{\left(\frac{20 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{4} e^{38}}{x} - \frac{40 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{4} e^{36}}{x^{2}} - \frac{10 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{4} e^{34}}{x^{3}} + \frac{5 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{4} e^{32}}{x^{4}} + \frac{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{4} e^{30}}{x^{5}}\right)} e^{\left(-35\right)}}{320 \, d^{5}}"," ",0,"1/320*x^5*(5*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^10/x - 10*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^8/x^2 - 40*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^6/x^3 + 20*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^4/x^4 + 2*e^12)*e^3/((d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d) - 3/8*e^5*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d - 1/320*(20*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^4*e^38/x - 40*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^4*e^36/x^2 - 10*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^4*e^34/x^3 + 5*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^4*e^32/x^4 + 2*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^4*e^30/x^5)*e^(-35)/d^5","B",0
13,1,431,0,0.275548," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^7,x, algorithm=""giac"")","\frac{x^{6} {\left(\frac{12 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{12}}{x} - \frac{15 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{10}}{x^{2}} - \frac{60 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{8}}{x^{3}} - \frac{15 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{6}}{x^{4}} + \frac{120 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} e^{4}}{x^{5}} + 5 \, e^{14}\right)} e^{4}}{1920 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} d^{2}} - \frac{e^{6} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{16 \, d^{2}} - \frac{{\left(\frac{120 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{10} e^{52}}{x} - \frac{15 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{10} e^{50}}{x^{2}} - \frac{60 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{10} e^{48}}{x^{3}} - \frac{15 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{10} e^{46}}{x^{4}} + \frac{12 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{10} e^{44}}{x^{5}} + \frac{5 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} d^{10} e^{42}}{x^{6}}\right)} e^{\left(-48\right)}}{1920 \, d^{12}}"," ",0,"1/1920*x^6*(12*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^12/x - 15*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^10/x^2 - 60*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^8/x^3 - 15*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^6/x^4 + 120*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*e^4/x^5 + 5*e^14)*e^4/((d*e + sqrt(-x^2*e^2 + d^2)*e)^6*d^2) - 1/16*e^6*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^2 - 1/1920*(120*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^10*e^52/x - 15*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^10*e^50/x^2 - 60*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^10*e^48/x^3 - 15*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^10*e^46/x^4 + 12*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^10*e^44/x^5 + 5*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*d^10*e^42/x^6)*e^(-48)/d^12","B",0
14,1,494,0,0.256117," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^8,x, algorithm=""giac"")","\frac{x^{7} {\left(\frac{35 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{14}}{x} - \frac{21 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{12}}{x^{2}} - \frac{105 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{10}}{x^{3}} - \frac{105 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{8}}{x^{4}} - \frac{105 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} e^{6}}{x^{5}} + \frac{315 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} e^{4}}{x^{6}} + 15 \, e^{16}\right)} e^{5}}{13440 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} d^{3}} - \frac{e^{7} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{16 \, d^{3}} - \frac{{\left(\frac{315 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{18} e^{68}}{x} - \frac{105 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{18} e^{66}}{x^{2}} - \frac{105 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{18} e^{64}}{x^{3}} - \frac{105 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{18} e^{62}}{x^{4}} - \frac{21 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{18} e^{60}}{x^{5}} + \frac{35 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} d^{18} e^{58}}{x^{6}} + \frac{15 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} d^{18} e^{56}}{x^{7}}\right)} e^{\left(-63\right)}}{13440 \, d^{21}}"," ",0,"1/13440*x^7*(35*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^14/x - 21*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^12/x^2 - 105*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^10/x^3 - 105*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^8/x^4 - 105*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*e^6/x^5 + 315*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*e^4/x^6 + 15*e^16)*e^5/((d*e + sqrt(-x^2*e^2 + d^2)*e)^7*d^3) - 1/16*e^7*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^3 - 1/13440*(315*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^18*e^68/x - 105*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^18*e^66/x^2 - 105*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^18*e^64/x^3 - 105*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^18*e^62/x^4 - 21*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^18*e^60/x^5 + 35*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*d^18*e^58/x^6 + 15*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*d^18*e^56/x^7)*e^(-63)/d^21","B",0
15,1,431,0,0.255801," ","integrate((e*x+d)*(-e^2*x^2+d^2)^(3/2)/x^9,x, algorithm=""giac"")","\frac{x^{8} {\left(\frac{80 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{16}}{x} - \frac{112 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{12}}{x^{3}} - \frac{280 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{10}}{x^{4}} - \frac{560 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} e^{8}}{x^{5}} + \frac{1680 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} e^{4}}{x^{7}} + 35 \, e^{18}\right)} e^{6}}{71680 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8} d^{4}} - \frac{3 \, e^{8} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{128 \, d^{4}} - \frac{{\left(\frac{1680 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{28} e^{86}}{x} - \frac{560 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{28} e^{82}}{x^{3}} - \frac{280 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{28} e^{80}}{x^{4}} - \frac{112 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{28} e^{78}}{x^{5}} + \frac{80 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} d^{28} e^{74}}{x^{7}} + \frac{35 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8} d^{28} e^{72}}{x^{8}}\right)} e^{\left(-80\right)}}{71680 \, d^{32}}"," ",0,"1/71680*x^8*(80*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^16/x - 112*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^12/x^3 - 280*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^10/x^4 - 560*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*e^8/x^5 + 1680*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*e^4/x^7 + 35*e^18)*e^6/((d*e + sqrt(-x^2*e^2 + d^2)*e)^8*d^4) - 3/128*e^8*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^4 - 1/71680*(1680*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^28*e^86/x - 560*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^28*e^82/x^3 - 280*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^28*e^80/x^4 - 112*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^28*e^78/x^5 + 80*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*d^28*e^74/x^7 + 35*(d*e + sqrt(-x^2*e^2 + d^2)*e)^8*d^28*e^72/x^8)*e^(-80)/d^32","B",0
16,1,54,0,0.244645," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, d^{3} \arcsin\left(\frac{x e}{d}\right) e^{\left(-3\right)} \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \sqrt{-x^{2} e^{2} + d^{2}} {\left(4 \, d^{2} e^{\left(-3\right)} + {\left(2 \, x e^{\left(-1\right)} + 3 \, d e^{\left(-2\right)}\right)} x\right)}"," ",0,"1/2*d^3*arcsin(x*e/d)*e^(-3)*sgn(d) - 1/6*sqrt(-x^2*e^2 + d^2)*(4*d^2*e^(-3) + (2*x*e^(-1) + 3*d*e^(-2))*x)","A",0
17,1,66,0,0.252103," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","-d \arcsin\left(\frac{x e}{d}\right) e^{\left(-3\right)} \mathrm{sgn}\left(d\right) - \frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left(2 \, d^{2} e^{\left(-3\right)} - {\left(x e^{\left(-1\right)} - d e^{\left(-2\right)}\right)} x\right)}}{x^{2} e^{2} - d^{2}}"," ",0,"-d*arcsin(x*e/d)*e^(-3)*sgn(d) - sqrt(-x^2*e^2 + d^2)*(2*d^2*e^(-3) - (x*e^(-1) - d*e^(-2))*x)/(x^2*e^2 - d^2)","A",0
18,1,51,0,0.295225," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\frac{{\left(x^{2} {\left(\frac{x}{d} + 3 \, e^{\left(-1\right)}\right)} - 2 \, d^{2} e^{\left(-3\right)}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{3 \, {\left(x^{2} e^{2} - d^{2}\right)}^{2}}"," ",0,"1/3*(x^2*(x/d + 3*e^(-1)) - 2*d^2*e^(-3))*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^2","A",0
19,1,120,0,0.279264," ","integrate(x^7*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{7}{2} \, d^{2} \arcsin\left(\frac{x e}{d}\right) e^{\left(-8\right)} \mathrm{sgn}\left(d\right) - \frac{{\left(96 \, d^{7} e^{\left(-8\right)} + {\left(105 \, d^{6} e^{\left(-7\right)} - {\left(240 \, d^{5} e^{\left(-6\right)} + {\left(245 \, d^{4} e^{\left(-5\right)} - {\left(180 \, d^{3} e^{\left(-4\right)} + {\left(161 \, d^{2} e^{\left(-3\right)} - 15 \, {\left(x e^{\left(-1\right)} + 2 \, d e^{\left(-2\right)}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{30 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-7/2*d^2*arcsin(x*e/d)*e^(-8)*sgn(d) - 1/30*(96*d^7*e^(-8) + (105*d^6*e^(-7) - (240*d^5*e^(-6) + (245*d^4*e^(-5) - (180*d^3*e^(-4) + (161*d^2*e^(-3) - 15*(x*e^(-1) + 2*d*e^(-2))*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
20,1,109,0,0.272373," ","integrate(x^6*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-d \arcsin\left(\frac{x e}{d}\right) e^{\left(-7\right)} \mathrm{sgn}\left(d\right) - \frac{{\left(48 \, d^{6} e^{\left(-7\right)} + {\left(15 \, d^{5} e^{\left(-6\right)} - {\left(120 \, d^{4} e^{\left(-5\right)} + {\left(35 \, d^{3} e^{\left(-4\right)} - {\left(90 \, d^{2} e^{\left(-3\right)} - {\left(15 \, x e^{\left(-1\right)} - 23 \, d e^{\left(-2\right)}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-d*arcsin(x*e/d)*e^(-7)*sgn(d) - 1/15*(48*d^6*e^(-7) + (15*d^5*e^(-6) - (120*d^4*e^(-5) + (35*d^3*e^(-4) - (90*d^2*e^(-3) - (15*x*e^(-1) - 23*d*e^(-2))*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
21,1,97,0,0.308307," ","integrate(x^5*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\arcsin\left(\frac{x e}{d}\right) e^{\left(-6\right)} \mathrm{sgn}\left(d\right) - \frac{{\left(8 \, d^{5} e^{\left(-6\right)} + {\left(15 \, d^{4} e^{\left(-5\right)} - {\left(20 \, d^{3} e^{\left(-4\right)} + {\left(35 \, d^{2} e^{\left(-3\right)} - {\left(23 \, x e^{\left(-1\right)} + 15 \, d e^{\left(-2\right)}\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-arcsin(x*e/d)*e^(-6)*sgn(d) - 1/15*(8*d^5*e^(-6) + (15*d^4*e^(-5) - (20*d^3*e^(-4) + (35*d^2*e^(-3) - (23*x*e^(-1) + 15*d*e^(-2))*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
22,1,64,0,0.272325," ","integrate(x^4*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{{\left(8 \, d^{4} e^{\left(-5\right)} + {\left(3 \, x^{2} {\left(\frac{x}{d} + 5 \, e^{\left(-1\right)}\right)} - 20 \, d^{2} e^{\left(-3\right)}\right)} x^{2}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/15*(8*d^4*e^(-5) + (3*x^2*(x/d + 5*e^(-1)) - 20*d^2*e^(-3))*x^2)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
23,1,58,0,0.277728," ","integrate(x^3*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\frac{{\left(2 \, d^{3} e^{\left(-4\right)} - {\left(\frac{3 \, x^{3} e}{d^{2}} + 5 \, d e^{\left(-2\right)}\right)} x^{2}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"1/15*(2*d^3*e^(-4) - (3*x^3*e/d^2 + 5*d*e^(-2))*x^2)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
24,1,64,0,0.268561," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\frac{{\left({\left(x {\left(\frac{2 \, x^{2} e^{2}}{d^{3}} - \frac{5}{d}\right)} - 5 \, e^{\left(-1\right)}\right)} x^{2} + 2 \, d^{2} e^{\left(-3\right)}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"1/15*((x*(2*x^2*e^2/d^3 - 5/d) - 5*e^(-1))*x^2 + 2*d^2*e^(-3))*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
25,1,57,0,0.267306," ","integrate(x*(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\frac{{\left(x^{3} {\left(\frac{2 \, x^{2} e^{3}}{d^{4}} - \frac{5 \, e}{d^{2}}\right)} - 3 \, d e^{\left(-2\right)}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"1/15*(x^3*(2*x^2*e^3/d^4 - 5*e/d^2) - 3*d*e^(-2))*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
26,1,65,0,0.260220," ","integrate((e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left(4 \, x^{2} {\left(\frac{2 \, x^{2} e^{4}}{d^{5}} - \frac{5 \, e^{2}}{d^{3}}\right)} + \frac{15}{d}\right)} x + 3 \, e^{\left(-1\right)}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*((4*x^2*(2*x^2*e^4/d^5 - 5*e^2/d^3) + 15/d)*x + 3*e^(-1))/(x^2*e^2 - d^2)^3","A",0
27,1,122,0,0.273921," ","integrate((e*x+d)/x/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left(x {\left(\frac{8 \, x e^{5}}{d^{6}} + \frac{15 \, e^{4}}{d^{5}}\right)} - \frac{20 \, e^{3}}{d^{4}}\right)} x - \frac{35 \, e^{2}}{d^{3}}\right)} x + \frac{15 \, e}{d^{2}}\right)} x + \frac{23}{d}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} - \frac{\log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{d^{6}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*((((x*(8*x*e^5/d^6 + 15*e^4/d^5) - 20*e^3/d^4)*x - 35*e^2/d^3)*x + 15*e/d^2)*x + 23/d)/(x^2*e^2 - d^2)^3 - log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^6","A",0
28,1,189,0,0.285537," ","integrate((e*x+d)/x^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left(3 \, {\left(x {\left(\frac{11 \, x e^{6}}{d^{7}} + \frac{5 \, e^{5}}{d^{6}}\right)} - \frac{25 \, e^{4}}{d^{5}}\right)} x - \frac{35 \, e^{3}}{d^{4}}\right)} x + \frac{45 \, e^{2}}{d^{3}}\right)} x + \frac{23 \, e}{d^{2}}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} - \frac{e \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{d^{7}} + \frac{x e^{3}}{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{7}} - \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{\left(-1\right)}}{2 \, d^{7} x}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*(((3*(x*(11*x*e^6/d^7 + 5*e^5/d^6) - 25*e^4/d^5)*x - 35*e^3/d^4)*x + 45*e^2/d^3)*x + 23*e/d^2)/(x^2*e^2 - d^2)^3 - e*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^7 + 1/2*x*e^3/((d*e + sqrt(-x^2*e^2 + d^2)*e)*d^7) - 1/2*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^(-1)/(d^7*x)","A",0
29,1,260,0,0.359380," ","integrate((e*x+d)/x^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left(3 \, {\left(x {\left(\frac{11 \, x e^{7}}{d^{8}} + \frac{15 \, e^{6}}{d^{7}}\right)} - \frac{25 \, e^{5}}{d^{6}}\right)} x - \frac{100 \, e^{4}}{d^{5}}\right)} x + \frac{45 \, e^{3}}{d^{4}}\right)} x + \frac{58 \, e^{2}}{d^{3}}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} - \frac{7 \, e^{2} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{2 \, d^{8}} + \frac{x^{2} {\left(\frac{4 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{4}}{x} + e^{6}\right)}}{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{8}} - \frac{{\left(\frac{4 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{8} e^{8}}{x} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{8} e^{6}}{x^{2}}\right)} e^{\left(-8\right)}}{8 \, d^{16}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*(((3*(x*(11*x*e^7/d^8 + 15*e^6/d^7) - 25*e^5/d^6)*x - 100*e^4/d^5)*x + 45*e^3/d^4)*x + 58*e^2/d^3)/(x^2*e^2 - d^2)^3 - 7/2*e^2*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^8 + 1/8*x^2*(4*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^4/x + e^6)/((d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^8) - 1/8*(4*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^8*e^8/x + (d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^8*e^6/x^2)*e^(-8)/d^16","A",0
30,1,77,0,0.273880," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(9/2),x, algorithm=""giac"")","\frac{{\left({\left({\left(4 \, x^{2} {\left(\frac{2 \, x^{2} e^{4}}{d^{5}} - \frac{7 \, e^{2}}{d^{3}}\right)} + \frac{35}{d}\right)} x + 21 \, e^{\left(-1\right)}\right)} x^{2} - 6 \, d^{2} e^{\left(-3\right)}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{105 \, {\left(x^{2} e^{2} - d^{2}\right)}^{4}}"," ",0,"1/105*(((4*x^2*(2*x^2*e^4/d^5 - 7*e^2/d^3) + 35/d)*x + 21*e^(-1))*x^2 - 6*d^2*e^(-3))*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^4","A",0
31,1,90,0,0.297739," ","integrate(x^2*(e*x+d)/(-e^2*x^2+d^2)^(11/2),x, algorithm=""giac"")","\frac{{\left({\left({\left(2 \, {\left(4 \, x^{2} {\left(\frac{2 \, x^{2} e^{6}}{d^{7}} - \frac{9 \, e^{4}}{d^{5}}\right)} + \frac{63 \, e^{2}}{d^{3}}\right)} x^{2} - \frac{105}{d}\right)} x - 45 \, e^{\left(-1\right)}\right)} x^{2} + 10 \, d^{2} e^{\left(-3\right)}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{315 \, {\left(x^{2} e^{2} - d^{2}\right)}^{5}}"," ",0,"1/315*(((2*(4*x^2*(2*x^2*e^6/d^7 - 9*e^4/d^5) + 63*e^2/d^3)*x^2 - 105/d)*x - 45*e^(-1))*x^2 + 10*d^2*e^(-3))*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^5","A",0
32,1,70,0,0.211114," ","integrate(x^2*(-a*x+1)/(-a^2*x^2+1)^(3/2),x, algorithm=""giac"")","-\frac{\arcsin\left(a x\right) \mathrm{sgn}\left(a\right)}{a^{2} {\left| a \right|}} - \frac{\sqrt{-a^{2} x^{2} + 1}}{a^{3}} + \frac{2}{a^{2} {\left(\frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{a^{2} x} + 1\right)} {\left| a \right|}}"," ",0,"-arcsin(a*x)*sgn(a)/(a^2*abs(a)) - sqrt(-a^2*x^2 + 1)/a^3 + 2/(a^2*((sqrt(-a^2*x^2 + 1)*abs(a) + a)/(a^2*x) + 1)*abs(a))","A",0
33,1,84,0,0.268863," ","integrate(x^4*(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\frac{11}{16} \, d^{6} \arcsin\left(\frac{x e}{d}\right) e^{\left(-5\right)} \mathrm{sgn}\left(d\right) - \frac{1}{240} \, {\left(256 \, d^{5} e^{\left(-5\right)} + {\left(165 \, d^{4} e^{\left(-4\right)} + 2 \, {\left(64 \, d^{3} e^{\left(-3\right)} + {\left(55 \, d^{2} e^{\left(-2\right)} + 4 \, {\left(12 \, d e^{\left(-1\right)} + 5 \, x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"11/16*d^6*arcsin(x*e/d)*e^(-5)*sgn(d) - 1/240*(256*d^5*e^(-5) + (165*d^4*e^(-4) + 2*(64*d^3*e^(-3) + (55*d^2*e^(-2) + 4*(12*d*e^(-1) + 5*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
34,1,73,0,0.262635," ","integrate(x^3*(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\frac{3}{4} \, d^{5} \arcsin\left(\frac{x e}{d}\right) e^{\left(-4\right)} \mathrm{sgn}\left(d\right) - \frac{1}{20} \, {\left(24 \, d^{4} e^{\left(-4\right)} + {\left(15 \, d^{3} e^{\left(-3\right)} + 2 \, {\left(6 \, d^{2} e^{\left(-2\right)} + {\left(5 \, d e^{\left(-1\right)} + 2 \, x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"3/4*d^5*arcsin(x*e/d)*e^(-4)*sgn(d) - 1/20*(24*d^4*e^(-4) + (15*d^3*e^(-3) + 2*(6*d^2*e^(-2) + (5*d*e^(-1) + 2*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
35,1,63,0,0.251558," ","integrate(x^2*(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\frac{7}{8} \, d^{4} \arcsin\left(\frac{x e}{d}\right) e^{\left(-3\right)} \mathrm{sgn}\left(d\right) - \frac{1}{24} \, {\left(32 \, d^{3} e^{\left(-3\right)} + {\left(21 \, d^{2} e^{\left(-2\right)} + 2 \, {\left(8 \, d e^{\left(-1\right)} + 3 \, x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"7/8*d^4*arcsin(x*e/d)*e^(-3)*sgn(d) - 1/24*(32*d^3*e^(-3) + (21*d^2*e^(-2) + 2*(8*d*e^(-1) + 3*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
36,1,49,0,0.253285," ","integrate(x*(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","d^{3} \arcsin\left(\frac{x e}{d}\right) e^{\left(-2\right)} \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \sqrt{-x^{2} e^{2} + d^{2}} {\left(5 \, d^{2} e^{\left(-2\right)} + {\left(3 \, d e^{\left(-1\right)} + x\right)} x\right)}"," ",0,"d^3*arcsin(x*e/d)*e^(-2)*sgn(d) - 1/3*sqrt(-x^2*e^2 + d^2)*(5*d^2*e^(-2) + (3*d*e^(-1) + x)*x)","A",0
37,1,40,0,0.250951," ","integrate((e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\frac{3}{2} \, d^{2} \arcsin\left(\frac{x e}{d}\right) e^{\left(-1\right)} \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \sqrt{-x^{2} e^{2} + d^{2}} {\left(4 \, d e^{\left(-1\right)} + x\right)}"," ",0,"3/2*d^2*arcsin(x*e/d)*e^(-1)*sgn(d) - 1/2*sqrt(-x^2*e^2 + d^2)*(4*d*e^(-1) + x)","A",0
38,1,65,0,0.257019," ","integrate((e*x+d)^2/x/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","2 \, d \arcsin\left(\frac{x e}{d}\right) \mathrm{sgn}\left(d\right) - d \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) - \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"2*d*arcsin(x*e/d)*sgn(d) - d*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) - sqrt(-x^2*e^2 + d^2)","A",0
39,1,107,0,0.255870," ","integrate((e*x+d)^2/x^2/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\arcsin\left(\frac{x e}{d}\right) e \mathrm{sgn}\left(d\right) - 2 \, e \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{x e^{3}}{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}} - \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{\left(-1\right)}}{2 \, x}"," ",0,"arcsin(x*e/d)*e*sgn(d) - 2*e*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/2*x*e^3/(d*e + sqrt(-x^2*e^2 + d^2)*e) - 1/2*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^(-1)/x","A",0
40,1,170,0,0.269176," ","integrate((e*x+d)^2/x^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","-\frac{3 \, e^{2} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{2 \, d} + \frac{x^{2} {\left(\frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{4}}{x} + e^{6}\right)}}{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d} - \frac{{\left(\frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d e^{8}}{x} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d e^{6}}{x^{2}}\right)} e^{\left(-8\right)}}{8 \, d^{2}}"," ",0,"-3/2*e^2*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d + 1/8*x^2*(8*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^4/x + e^6)/((d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d) - 1/8*(8*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d*e^8/x + (d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d*e^6/x^2)*e^(-8)/d^2","B",0
41,1,239,0,0.304821," ","integrate((e*x+d)^2/x^4/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\frac{x^{3} {\left(\frac{6 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{6}}{x} + \frac{21 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{4}}{x^{2}} + e^{8}\right)} e}{24 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{2}} - \frac{e^{3} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{d^{2}} - \frac{{\left(\frac{21 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{4} e^{16}}{x} + \frac{6 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{4} e^{14}}{x^{2}} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{4} e^{12}}{x^{3}}\right)} e^{\left(-15\right)}}{24 \, d^{6}}"," ",0,"1/24*x^3*(6*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^6/x + 21*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^4/x^2 + e^8)*e/((d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^2) - e^3*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^2 - 1/24*(21*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^4*e^16/x + 6*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^4*e^14/x^2 + (d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^4*e^12/x^3)*e^(-15)/d^6","B",0
42,1,305,0,0.290348," ","integrate((e*x+d)^2/x^5/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\frac{x^{4} {\left(\frac{16 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{8}}{x} + \frac{48 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{6}}{x^{2}} + \frac{144 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{4}}{x^{3}} + 3 \, e^{10}\right)} e^{2}}{192 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{3}} - \frac{7 \, e^{4} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{8 \, d^{3}} - \frac{{\left(\frac{144 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{9} e^{26}}{x} + \frac{48 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{9} e^{24}}{x^{2}} + \frac{16 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{9} e^{22}}{x^{3}} + \frac{3 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{9} e^{20}}{x^{4}}\right)} e^{\left(-24\right)}}{192 \, d^{12}}"," ",0,"1/192*x^4*(16*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^8/x + 48*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^6/x^2 + 144*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^4/x^3 + 3*e^10)*e^2/((d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^3) - 7/8*e^4*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^3 - 1/192*(144*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^9*e^26/x + 48*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^9*e^24/x^2 + 16*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^9*e^22/x^3 + 3*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^9*e^20/x^4)*e^(-24)/d^12","B",0
43,1,365,0,0.272261," ","integrate((e*x+d)^2/x^6/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\frac{x^{5} {\left(\frac{5 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{10}}{x} + \frac{15 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{8}}{x^{2}} + \frac{40 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{6}}{x^{3}} + \frac{110 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{4}}{x^{4}} + e^{12}\right)} e^{3}}{160 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{4}} - \frac{3 \, e^{5} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{4 \, d^{4}} - \frac{{\left(\frac{110 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{16} e^{38}}{x} + \frac{40 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{16} e^{36}}{x^{2}} + \frac{15 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{16} e^{34}}{x^{3}} + \frac{5 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{16} e^{32}}{x^{4}} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{16} e^{30}}{x^{5}}\right)} e^{\left(-35\right)}}{160 \, d^{20}}"," ",0,"1/160*x^5*(5*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^10/x + 15*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^8/x^2 + 40*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^6/x^3 + 110*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^4/x^4 + e^12)*e^3/((d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^4) - 3/4*e^5*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^4 - 1/160*(110*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^16*e^38/x + 40*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^16*e^36/x^2 + 15*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^16*e^34/x^3 + 5*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^16*e^32/x^4 + (d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^16*e^30/x^5)*e^(-35)/d^20","B",0
44,1,106,0,0.298093," ","integrate(x^5*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-2 \, d \arcsin\left(\frac{x e}{d}\right) e^{\left(-6\right)} \mathrm{sgn}\left(d\right) - \frac{{\left(56 \, d^{6} e^{\left(-6\right)} + {\left(30 \, d^{5} e^{\left(-5\right)} - {\left(140 \, d^{4} e^{\left(-4\right)} + {\left(70 \, d^{3} e^{\left(-3\right)} - {\left(105 \, d^{2} e^{\left(-2\right)} + {\left(46 \, d e^{\left(-1\right)} - 15 \, x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-2*d*arcsin(x*e/d)*e^(-6)*sgn(d) - 1/15*(56*d^6*e^(-6) + (30*d^5*e^(-5) - (140*d^4*e^(-4) + (70*d^3*e^(-3) - (105*d^2*e^(-2) + (46*d*e^(-1) - 15*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
45,1,95,0,0.280267," ","integrate(x^4*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\arcsin\left(\frac{x e}{d}\right) e^{\left(-5\right)} \mathrm{sgn}\left(d\right) - \frac{{\left(16 \, d^{5} e^{\left(-5\right)} + {\left(15 \, d^{4} e^{\left(-4\right)} - {\left(40 \, d^{3} e^{\left(-3\right)} + {\left(35 \, d^{2} e^{\left(-2\right)} - 2 \, {\left(15 \, d e^{\left(-1\right)} + 13 \, x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-arcsin(x*e/d)*e^(-5)*sgn(d) - 1/15*(16*d^5*e^(-5) + (15*d^4*e^(-4) - (40*d^3*e^(-3) + (35*d^2*e^(-2) - 2*(15*d*e^(-1) + 13*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
46,1,63,0,0.287444," ","integrate(x^3*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{{\left(2 \, d^{4} e^{\left(-4\right)} + {\left(x^{2} {\left(\frac{2 \, x e}{d} + 5\right)} - 5 \, d^{2} e^{\left(-2\right)}\right)} x^{2}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{5 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/5*(2*d^4*e^(-4) + (x^2*(2*x*e/d + 5) - 5*d^2*e^(-2))*x^2)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
47,1,61,0,0.283847," ","integrate(x^2*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\frac{{\left(4 \, d^{3} e^{\left(-3\right)} - {\left(x {\left(\frac{x^{2} e^{2}}{d^{2}} + 5\right)} + 10 \, d e^{\left(-1\right)}\right)} x^{2}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"1/15*(4*d^3*e^(-3) - (x*(x^2*e^2/d^2 + 5) + 10*d*e^(-1))*x^2)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
48,1,64,0,0.275819," ","integrate(x*(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\frac{{\left({\left(2 \, x {\left(\frac{2 \, x^{2} e^{3}}{d^{3}} - \frac{5 \, e}{d}\right)} - 5\right)} x^{2} - d^{2} e^{\left(-2\right)}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"1/15*((2*x*(2*x^2*e^3/d^3 - 5*e/d) - 5)*x^2 - d^2*e^(-2))*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
49,1,61,0,0.314518," ","integrate((e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left(x^{2} {\left(\frac{2 \, x^{2} e^{4}}{d^{4}} - \frac{5 \, e^{2}}{d^{2}}\right)} + 5\right)} x + 2 \, d e^{\left(-1\right)}\right)}}{5 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/5*sqrt(-x^2*e^2 + d^2)*((x^2*(2*x^2*e^4/d^4 - 5*e^2/d^2) + 5)*x + 2*d*e^(-1))/(x^2*e^2 - d^2)^3","A",0
50,1,118,0,0.287812," ","integrate((e*x+d)^2/x/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left(x {\left(\frac{16 \, x e^{5}}{d^{5}} + \frac{15 \, e^{4}}{d^{4}}\right)} - \frac{40 \, e^{3}}{d^{3}}\right)} x - \frac{35 \, e^{2}}{d^{2}}\right)} x + \frac{30 \, e}{d}\right)} x + 26\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} - \frac{\log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{d^{5}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*((((x*(16*x*e^5/d^5 + 15*e^4/d^4) - 40*e^3/d^3)*x - 35*e^2/d^2)*x + 30*e/d)*x + 26)/(x^2*e^2 - d^2)^3 - log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^5","A",0
51,1,188,0,0.287587," ","integrate((e*x+d)^2/x^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left(x {\left(\frac{41 \, x e^{6}}{d^{6}} + \frac{30 \, e^{5}}{d^{5}}\right)} - \frac{95 \, e^{4}}{d^{4}}\right)} x - \frac{70 \, e^{3}}{d^{3}}\right)} x + \frac{60 \, e^{2}}{d^{2}}\right)} x + \frac{46 \, e}{d}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} - \frac{2 \, e \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{d^{6}} + \frac{x e^{3}}{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{6}} - \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{\left(-1\right)}}{2 \, d^{6} x}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*((((x*(41*x*e^6/d^6 + 30*e^5/d^5) - 95*e^4/d^4)*x - 70*e^3/d^3)*x + 60*e^2/d^2)*x + 46*e/d)/(x^2*e^2 - d^2)^3 - 2*e*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^6 + 1/2*x*e^3/((d*e + sqrt(-x^2*e^2 + d^2)*e)*d^6) - 1/2*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^(-1)/(d^6*x)","A",0
52,1,260,0,0.298342," ","integrate((e*x+d)^2/x^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left(2 \, {\left(x {\left(\frac{11 \, x e^{7}}{d^{7}} + \frac{10 \, e^{6}}{d^{6}}\right)} - \frac{25 \, e^{5}}{d^{5}}\right)} x - \frac{45 \, e^{4}}{d^{4}}\right)} x + \frac{30 \, e^{3}}{d^{3}}\right)} x + \frac{27 \, e^{2}}{d^{2}}\right)}}{5 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} - \frac{9 \, e^{2} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{2 \, d^{7}} + \frac{x^{2} {\left(\frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{4}}{x} + e^{6}\right)}}{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{7}} - \frac{{\left(\frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{7} e^{8}}{x} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{7} e^{6}}{x^{2}}\right)} e^{\left(-8\right)}}{8 \, d^{14}}"," ",0,"-1/5*sqrt(-x^2*e^2 + d^2)*(((2*(x*(11*x*e^7/d^7 + 10*e^6/d^6) - 25*e^5/d^5)*x - 45*e^4/d^4)*x + 30*e^3/d^3)*x + 27*e^2/d^2)/(x^2*e^2 - d^2)^3 - 9/2*e^2*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^7 + 1/8*x^2*(8*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^4/x + e^6)/((d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^7) - 1/8*(8*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^7*e^8/x + (d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^7*e^6/x^2)*e^(-8)/d^14","A",0
53,1,325,0,0.350725," ","integrate((e*x+d)^2/x^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left(2 \, x {\left(\frac{53 \, x e^{8}}{d^{8}} + \frac{45 \, e^{7}}{d^{7}}\right)} - \frac{235 \, e^{6}}{d^{6}}\right)} x - \frac{200 \, e^{5}}{d^{5}}\right)} x + \frac{135 \, e^{4}}{d^{4}}\right)} x + \frac{116 \, e^{3}}{d^{3}}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} + \frac{x^{3} {\left(\frac{6 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{6}}{x} + \frac{57 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{4}}{x^{2}} + e^{8}\right)} e}{24 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{8}} - \frac{7 \, e^{3} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{d^{8}} - \frac{{\left(\frac{57 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{16} e^{16}}{x} + \frac{6 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{16} e^{14}}{x^{2}} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{16} e^{12}}{x^{3}}\right)} e^{\left(-15\right)}}{24 \, d^{24}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*((((2*x*(53*x*e^8/d^8 + 45*e^7/d^7) - 235*e^6/d^6)*x - 200*e^5/d^5)*x + 135*e^4/d^4)*x + 116*e^3/d^3)/(x^2*e^2 - d^2)^3 + 1/24*x^3*(6*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^6/x + 57*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^4/x^2 + e^8)*e/((d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^8) - 7*e^3*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^8 - 1/24*(57*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^16*e^16/x + 6*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^16*e^14/x^2 + (d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^16*e^12/x^3)*e^(-15)/d^24","A",0
54,1,34,0,0.181682," ","integrate(x^3*(1+x)^2/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{20} \, {\left({\left(2 \, {\left({\left(2 \, x + 5\right)} x + 6\right)} x + 15\right)} x + 24\right)} \sqrt{-x^{2} + 1} + \frac{3}{4} \, \arcsin\left(x\right)"," ",0,"-1/20*((2*((2*x + 5)*x + 6)*x + 15)*x + 24)*sqrt(-x^2 + 1) + 3/4*arcsin(x)","A",0
55,1,30,0,0.192278," ","integrate(x^2*(1+x)^2/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{24} \, {\left({\left(2 \, {\left(3 \, x + 8\right)} x + 21\right)} x + 32\right)} \sqrt{-x^{2} + 1} + \frac{7}{8} \, \arcsin\left(x\right)"," ",0,"-1/24*((2*(3*x + 8)*x + 21)*x + 32)*sqrt(-x^2 + 1) + 7/8*arcsin(x)","A",0
56,1,21,0,0.220219," ","integrate(x*(1+x)^2/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, {\left({\left(x + 3\right)} x + 5\right)} \sqrt{-x^{2} + 1} + \arcsin\left(x\right)"," ",0,"-1/3*((x + 3)*x + 5)*sqrt(-x^2 + 1) + arcsin(x)","A",0
57,1,19,0,0.194823," ","integrate((1+x)^2/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{-x^{2} + 1} {\left(x + 4\right)} + \frac{3}{2} \, \arcsin\left(x\right)"," ",0,"-1/2*sqrt(-x^2 + 1)*(x + 4) + 3/2*arcsin(x)","A",0
58,1,34,0,0.179950," ","integrate((1+x)^2/x/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\sqrt{-x^{2} + 1} + 2 \, \arcsin\left(x\right) + \log\left(-\frac{\sqrt{-x^{2} + 1} - 1}{{\left| x \right|}}\right)"," ",0,"-sqrt(-x^2 + 1) + 2*arcsin(x) + log(-(sqrt(-x^2 + 1) - 1)/abs(x))","A",0
59,1,55,0,0.183936," ","integrate((1+x)^2/x^2/(-x^2+1)^(1/2),x, algorithm=""giac"")","\frac{x}{2 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}} - \frac{\sqrt{-x^{2} + 1} - 1}{2 \, x} + \arcsin\left(x\right) + 2 \, \log\left(-\frac{\sqrt{-x^{2} + 1} - 1}{{\left| x \right|}}\right)"," ",0,"1/2*x/(sqrt(-x^2 + 1) - 1) - 1/2*(sqrt(-x^2 + 1) - 1)/x + arcsin(x) + 2*log(-(sqrt(-x^2 + 1) - 1)/abs(x))","A",0
60,1,91,0,0.178881," ","integrate((1+x)^2/x^3/(-x^2+1)^(1/2),x, algorithm=""giac"")","\frac{x^{2} {\left(\frac{8 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}}{x} - 1\right)}}{8 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}} - \frac{\sqrt{-x^{2} + 1} - 1}{x} + \frac{{\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{8 \, x^{2}} + \frac{3}{2} \, \log\left(-\frac{\sqrt{-x^{2} + 1} - 1}{{\left| x \right|}}\right)"," ",0,"1/8*x^2*(8*(sqrt(-x^2 + 1) - 1)/x - 1)/(sqrt(-x^2 + 1) - 1)^2 - (sqrt(-x^2 + 1) - 1)/x + 1/8*(sqrt(-x^2 + 1) - 1)^2/x^2 + 3/2*log(-(sqrt(-x^2 + 1) - 1)/abs(x))","B",0
61,1,125,0,0.185814," ","integrate((1+x)^2/x^4/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{x^{3} {\left(\frac{6 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}}{x} - \frac{21 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{x^{2}} - 1\right)}}{24 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{3}} - \frac{7 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}}{8 \, x} + \frac{{\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{4 \, x^{2}} - \frac{{\left(\sqrt{-x^{2} + 1} - 1\right)}^{3}}{24 \, x^{3}} + \log\left(-\frac{\sqrt{-x^{2} + 1} - 1}{{\left| x \right|}}\right)"," ",0,"-1/24*x^3*(6*(sqrt(-x^2 + 1) - 1)/x - 21*(sqrt(-x^2 + 1) - 1)^2/x^2 - 1)/(sqrt(-x^2 + 1) - 1)^3 - 7/8*(sqrt(-x^2 + 1) - 1)/x + 1/4*(sqrt(-x^2 + 1) - 1)^2/x^2 - 1/24*(sqrt(-x^2 + 1) - 1)^3/x^3 + log(-(sqrt(-x^2 + 1) - 1)/abs(x))","B",0
62,1,163,0,0.184442," ","integrate((1+x)^2/x^5/(-x^2+1)^(1/2),x, algorithm=""giac"")","\frac{x^{4} {\left(\frac{16 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}}{x} - \frac{48 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{x^{2}} + \frac{144 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{3}}{x^{3}} - 3\right)}}{192 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{4}} - \frac{3 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}}{4 \, x} + \frac{{\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{4 \, x^{2}} - \frac{{\left(\sqrt{-x^{2} + 1} - 1\right)}^{3}}{12 \, x^{3}} + \frac{{\left(\sqrt{-x^{2} + 1} - 1\right)}^{4}}{64 \, x^{4}} + \frac{7}{8} \, \log\left(-\frac{\sqrt{-x^{2} + 1} - 1}{{\left| x \right|}}\right)"," ",0,"1/192*x^4*(16*(sqrt(-x^2 + 1) - 1)/x - 48*(sqrt(-x^2 + 1) - 1)^2/x^2 + 144*(sqrt(-x^2 + 1) - 1)^3/x^3 - 3)/(sqrt(-x^2 + 1) - 1)^4 - 3/4*(sqrt(-x^2 + 1) - 1)/x + 1/4*(sqrt(-x^2 + 1) - 1)^2/x^2 - 1/12*(sqrt(-x^2 + 1) - 1)^3/x^3 + 1/64*(sqrt(-x^2 + 1) - 1)^4/x^4 + 7/8*log(-(sqrt(-x^2 + 1) - 1)/abs(x))","B",0
63,1,199,0,0.198414," ","integrate((1+x)^2/x^6/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{x^{5} {\left(\frac{5 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}}{x} - \frac{15 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{x^{2}} + \frac{40 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{3}}{x^{3}} - \frac{110 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{4}}{x^{4}} - 1\right)}}{160 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{5}} - \frac{11 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}}{16 \, x} + \frac{{\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{4 \, x^{2}} - \frac{3 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}^{3}}{32 \, x^{3}} + \frac{{\left(\sqrt{-x^{2} + 1} - 1\right)}^{4}}{32 \, x^{4}} - \frac{{\left(\sqrt{-x^{2} + 1} - 1\right)}^{5}}{160 \, x^{5}} + \frac{3}{4} \, \log\left(-\frac{\sqrt{-x^{2} + 1} - 1}{{\left| x \right|}}\right)"," ",0,"-1/160*x^5*(5*(sqrt(-x^2 + 1) - 1)/x - 15*(sqrt(-x^2 + 1) - 1)^2/x^2 + 40*(sqrt(-x^2 + 1) - 1)^3/x^3 - 110*(sqrt(-x^2 + 1) - 1)^4/x^4 - 1)/(sqrt(-x^2 + 1) - 1)^5 - 11/16*(sqrt(-x^2 + 1) - 1)/x + 1/4*(sqrt(-x^2 + 1) - 1)^2/x^2 - 3/32*(sqrt(-x^2 + 1) - 1)^3/x^3 + 1/32*(sqrt(-x^2 + 1) - 1)^4/x^4 - 1/160*(sqrt(-x^2 + 1) - 1)^5/x^5 + 3/4*log(-(sqrt(-x^2 + 1) - 1)/abs(x))","B",0
64,1,295,0,0.273418," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(1/2)/x^5,x, algorithm=""giac"")","-\arcsin\left(\frac{x e}{d}\right) e^{4} \mathrm{sgn}\left(d\right) + \frac{x^{4} {\left(\frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{8}}{x} + \frac{24 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{6}}{x^{2}} + \frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{4}}{x^{3}} + e^{10}\right)} e^{2}}{64 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4}} - \frac{1}{64} \, {\left(\frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{26}}{x} + \frac{24 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{24}}{x^{2}} + \frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{22}}{x^{3}} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{20}}{x^{4}}\right)} e^{\left(-24\right)} + \frac{13}{8} \, e^{4} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)"," ",0,"-arcsin(x*e/d)*e^4*sgn(d) + 1/64*x^4*(8*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^8/x + 24*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^6/x^2 + 8*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^4/x^3 + e^10)*e^2/(d*e + sqrt(-x^2*e^2 + d^2)*e)^4 - 1/64*(8*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^26/x + 24*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^24/x^2 + 8*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^22/x^3 + (d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^20/x^4)*e^(-24) + 13/8*e^4*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))","B",0
65,1,170,0,0.258426," ","integrate(x^5*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\frac{35}{2048} \, d^{14} \arcsin\left(\frac{x e}{d}\right) e^{\left(-6\right)} \mathrm{sgn}\left(d\right) - \frac{1}{18450432} \, {\left(507904 \, d^{13} e^{\left(-6\right)} + {\left(315315 \, d^{12} e^{\left(-5\right)} + 2 \, {\left(126976 \, d^{11} e^{\left(-4\right)} + {\left(105105 \, d^{10} e^{\left(-3\right)} + 4 \, {\left(23808 \, d^{9} e^{\left(-2\right)} + {\left(21021 \, d^{8} e^{\left(-1\right)} - 2 \, {\left(182272 \, d^{7} + {\left(485199 \, d^{6} e + 8 \, {\left(19936 \, d^{5} e^{2} - 3 \, {\left(24739 \, d^{4} e^{3} + 2 \, {\left(11424 \, d^{3} e^{4} - 11 \, {\left(169 \, d^{2} e^{5} + 12 \, {\left(13 \, x e^{7} + 42 \, d e^{6}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"35/2048*d^14*arcsin(x*e/d)*e^(-6)*sgn(d) - 1/18450432*(507904*d^13*e^(-6) + (315315*d^12*e^(-5) + 2*(126976*d^11*e^(-4) + (105105*d^10*e^(-3) + 4*(23808*d^9*e^(-2) + (21021*d^8*e^(-1) - 2*(182272*d^7 + (485199*d^6*e + 8*(19936*d^5*e^2 - 3*(24739*d^4*e^3 + 2*(11424*d^3*e^4 - 11*(169*d^2*e^5 + 12*(13*x*e^7 + 42*d*e^6)*x)*x)*x)*x)*x)*x)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
66,1,160,0,0.256387," ","integrate(x^4*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\frac{27}{1024} \, d^{13} \arcsin\left(\frac{x e}{d}\right) e^{\left(-5\right)} \mathrm{sgn}\left(d\right) - \frac{1}{5125120} \, {\left(204800 \, d^{12} e^{\left(-5\right)} + {\left(135135 \, d^{11} e^{\left(-4\right)} + 2 \, {\left(51200 \, d^{10} e^{\left(-3\right)} + {\left(45045 \, d^{9} e^{\left(-2\right)} + 4 \, {\left(9600 \, d^{8} e^{\left(-1\right)} - {\left(119119 \, d^{7} + 2 \, {\left(156160 \, d^{6} e + 7 \, {\left(7293 \, d^{5} e^{2} - 8 \, {\left(3280 \, d^{4} e^{3} + {\left(3003 \, d^{3} e^{4} - 10 \, {\left(48 \, d^{2} e^{5} + 11 \, {\left(4 \, x e^{7} + 13 \, d e^{6}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"27/1024*d^13*arcsin(x*e/d)*e^(-5)*sgn(d) - 1/5125120*(204800*d^12*e^(-5) + (135135*d^11*e^(-4) + 2*(51200*d^10*e^(-3) + (45045*d^9*e^(-2) + 4*(9600*d^8*e^(-1) - (119119*d^7 + 2*(156160*d^6*e + 7*(7293*d^5*e^2 - 8*(3280*d^4*e^3 + (3003*d^3*e^4 - 10*(48*d^2*e^5 + 11*(4*x*e^7 + 13*d*e^6)*x)*x)*x)*x)*x)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
67,1,149,0,0.241736," ","integrate(x^3*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\frac{41}{1024} \, d^{12} \arcsin\left(\frac{x e}{d}\right) e^{\left(-4\right)} \mathrm{sgn}\left(d\right) - \frac{1}{3548160} \, {\left(235520 \, d^{11} e^{\left(-4\right)} + {\left(142065 \, d^{10} e^{\left(-3\right)} + 2 \, {\left(58880 \, d^{9} e^{\left(-2\right)} + {\left(47355 \, d^{8} e^{\left(-1\right)} - 4 \, {\left(99840 \, d^{7} + {\left(256641 \, d^{6} e + 2 \, {\left(41600 \, d^{5} e^{2} - 7 \, {\left(20493 \, d^{4} e^{3} + 8 \, {\left(2320 \, d^{3} e^{4} - 3 \, {\left(121 \, d^{2} e^{5} + 10 \, {\left(11 \, x e^{7} + 36 \, d e^{6}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"41/1024*d^12*arcsin(x*e/d)*e^(-4)*sgn(d) - 1/3548160*(235520*d^11*e^(-4) + (142065*d^10*e^(-3) + 2*(58880*d^9*e^(-2) + (47355*d^8*e^(-1) - 4*(99840*d^7 + (256641*d^6*e + 2*(41600*d^5*e^2 - 7*(20493*d^4*e^3 + 8*(2320*d^3*e^4 - 3*(121*d^2*e^5 + 10*(11*x*e^7 + 36*d*e^6)*x)*x)*x)*x)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
68,1,139,0,0.292088," ","integrate(x^2*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\frac{19}{256} \, d^{11} \arcsin\left(\frac{x e}{d}\right) e^{\left(-3\right)} \mathrm{sgn}\left(d\right) - \frac{1}{887040} \, {\left(94720 \, d^{10} e^{\left(-3\right)} + {\left(65835 \, d^{9} e^{\left(-2\right)} + 2 \, {\left(23680 \, d^{8} e^{\left(-1\right)} - {\left(125895 \, d^{7} + 4 \, {\left(78720 \, d^{6} e + {\left(25179 \, d^{5} e^{2} - 2 \, {\left(41120 \, d^{4} e^{3} + 7 \, {\left(5247 \, d^{3} e^{4} - 8 \, {\left(100 \, d^{2} e^{5} + 9 \, {\left(10 \, x e^{7} + 33 \, d e^{6}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"19/256*d^11*arcsin(x*e/d)*e^(-3)*sgn(d) - 1/887040*(94720*d^10*e^(-3) + (65835*d^9*e^(-2) + 2*(23680*d^8*e^(-1) - (125895*d^7 + 4*(78720*d^6*e + (25179*d^5*e^2 - 2*(41120*d^4*e^3 + 7*(5247*d^3*e^4 - 8*(100*d^2*e^5 + 9*(10*x*e^7 + 33*d*e^6)*x)*x)*x)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
69,1,128,0,0.240096," ","integrate(x*(e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\frac{33}{256} \, d^{10} \arcsin\left(\frac{x e}{d}\right) e^{\left(-2\right)} \mathrm{sgn}\left(d\right) - \frac{1}{26880} \, {\left(6400 \, d^{9} e^{\left(-2\right)} + {\left(3465 \, d^{8} e^{\left(-1\right)} - 2 \, {\left(5120 \, d^{7} + {\left(12285 \, d^{6} e + 4 \, {\left(960 \, d^{5} e^{2} - {\left(2919 \, d^{4} e^{3} + 2 \, {\left(1280 \, d^{3} e^{4} - 7 \, {\left(27 \, d^{2} e^{5} + 8 \, {\left(3 \, x e^{7} + 10 \, d e^{6}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"33/256*d^10*arcsin(x*e/d)*e^(-2)*sgn(d) - 1/26880*(6400*d^9*e^(-2) + (3465*d^8*e^(-1) - 2*(5120*d^7 + (12285*d^6*e + 4*(960*d^5*e^2 - (2919*d^4*e^3 + 2*(1280*d^3*e^4 - 7*(27*d^2*e^5 + 8*(3*x*e^7 + 10*d*e^6)*x)*x)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
70,1,117,0,0.249440," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\frac{55}{128} \, d^{9} \arcsin\left(\frac{x e}{d}\right) e^{\left(-1\right)} \mathrm{sgn}\left(d\right) - \frac{1}{8064} \, {\left(3712 \, d^{8} e^{\left(-1\right)} - {\left(4599 \, d^{7} + 2 \, {\left(5120 \, d^{6} e + {\left(1533 \, d^{5} e^{2} - 4 \, {\left(1056 \, d^{4} e^{3} + {\left(903 \, d^{3} e^{4} - 2 \, {\left(64 \, d^{2} e^{5} + 7 \, {\left(8 \, x e^{7} + 27 \, d e^{6}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"55/128*d^9*arcsin(x*e/d)*e^(-1)*sgn(d) - 1/8064*(3712*d^8*e^(-1) - (4599*d^7 + 2*(5120*d^6*e + (1533*d^5*e^2 - 4*(1056*d^4*e^3 + (903*d^3*e^4 - 2*(64*d^2*e^5 + 7*(8*x*e^7 + 27*d*e^6)*x)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
71,1,143,0,0.260212," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x,x, algorithm=""giac"")","\frac{125}{128} \, d^{8} \arcsin\left(\frac{x e}{d}\right) \mathrm{sgn}\left(d\right) - d^{8} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{1}{13440} \, {\left(14848 \, d^{7} + {\left(27195 \, d^{6} e + 2 \, {\left(3712 \, d^{5} e^{2} - {\left(8855 \, d^{4} e^{3} + 4 \, {\left(1824 \, d^{3} e^{4} - 5 \, {\left(49 \, d^{2} e^{5} + 6 \, {\left(7 \, x e^{7} + 24 \, d e^{6}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"125/128*d^8*arcsin(x*e/d)*sgn(d) - d^8*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/13440*(14848*d^7 + (27195*d^6*e + 2*(3712*d^5*e^2 - (8855*d^4*e^3 + 4*(1824*d^3*e^4 - 5*(49*d^2*e^5 + 6*(7*x*e^7 + 24*d*e^6)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
72,1,199,0,0.244637," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^2,x, algorithm=""giac"")","-\frac{15}{16} \, d^{7} \arcsin\left(\frac{x e}{d}\right) e \mathrm{sgn}\left(d\right) - 3 \, d^{7} e \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{d^{7} x e^{3}}{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}} - \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{7} e^{\left(-1\right)}}{2 \, x} + \frac{1}{560} \, {\left(2496 \, d^{6} e + {\left(525 \, d^{5} e^{2} - 2 \, {\left(496 \, d^{4} e^{3} + {\left(385 \, d^{3} e^{4} - 4 \, {\left(12 \, d^{2} e^{5} + 5 \, {\left(2 \, x e^{7} + 7 \, d e^{6}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"-15/16*d^7*arcsin(x*e/d)*e*sgn(d) - 3*d^7*e*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/2*d^7*x*e^3/(d*e + sqrt(-x^2*e^2 + d^2)*e) - 1/2*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^7*e^(-1)/x + 1/560*(2496*d^6*e + (525*d^5*e^2 - 2*(496*d^4*e^3 + (385*d^3*e^4 - 4*(12*d^2*e^5 + 5*(2*x*e^7 + 7*d*e^6)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
73,1,262,0,0.251647," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^3,x, algorithm=""giac"")","-\frac{85}{16} \, d^{6} \arcsin\left(\frac{x e}{d}\right) e^{2} \mathrm{sgn}\left(d\right) - \frac{1}{2} \, d^{6} e^{2} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) - \frac{1}{8} \, {\left(\frac{12 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{6} e^{8}}{x} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{6} e^{6}}{x^{2}}\right)} e^{\left(-8\right)} + \frac{1}{240} \, {\left(544 \, d^{5} e^{2} - {\left(645 \, d^{4} e^{3} + 2 \, {\left(224 \, d^{3} e^{4} - {\left(25 \, d^{2} e^{5} + 4 \, {\left(5 \, x e^{7} + 18 \, d e^{6}\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}} + \frac{{\left(d^{6} e^{6} + \frac{12 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{6} e^{4}}{x}\right)} x^{2}}{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2}}"," ",0,"-85/16*d^6*arcsin(x*e/d)*e^2*sgn(d) - 1/2*d^6*e^2*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) - 1/8*(12*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^6*e^8/x + (d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^6*e^6/x^2)*e^(-8) + 1/240*(544*d^5*e^2 - (645*d^4*e^3 + 2*(224*d^3*e^4 - (25*d^2*e^5 + 4*(5*x*e^7 + 18*d*e^6)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2) + 1/8*(d^6*e^6 + 12*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^6*e^4/x)*x^2/(d*e + sqrt(-x^2*e^2 + d^2)*e)^2","A",0
74,1,318,0,0.288742," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^4,x, algorithm=""giac"")","-\frac{25}{8} \, d^{5} \arcsin\left(\frac{x e}{d}\right) e^{3} \mathrm{sgn}\left(d\right) + \frac{13}{2} \, d^{5} e^{3} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{{\left(d^{5} e^{8} + \frac{9 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{5} e^{6}}{x} + \frac{9 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{5} e^{4}}{x^{2}}\right)} x^{3} e}{24 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3}} - \frac{1}{24} \, {\left(\frac{9 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{5} e^{16}}{x} + \frac{9 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{5} e^{14}}{x^{2}} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{5} e^{12}}{x^{3}}\right)} e^{\left(-15\right)} - \frac{1}{120} \, {\left(656 \, d^{4} e^{3} + {\left(345 \, d^{3} e^{4} - 2 \, {\left(16 \, d^{2} e^{5} + 3 \, {\left(4 \, x e^{7} + 15 \, d e^{6}\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"-25/8*d^5*arcsin(x*e/d)*e^3*sgn(d) + 13/2*d^5*e^3*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/24*(d^5*e^8 + 9*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^5*e^6/x + 9*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^5*e^4/x^2)*x^3*e/(d*e + sqrt(-x^2*e^2 + d^2)*e)^3 - 1/24*(9*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^5*e^16/x + 9*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^5*e^14/x^2 + (d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^5*e^12/x^3)*e^(-15) - 1/120*(656*d^4*e^3 + (345*d^3*e^4 - 2*(16*d^2*e^5 + 3*(4*x*e^7 + 15*d*e^6)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
75,1,374,0,0.267148," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^5,x, algorithm=""giac"")","\frac{45}{8} \, d^{4} \arcsin\left(\frac{x e}{d}\right) e^{4} \mathrm{sgn}\left(d\right) + \frac{45}{8} \, d^{4} e^{4} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{{\left(d^{4} e^{10} + \frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{4} e^{8}}{x} + \frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{4} e^{6}}{x^{2}} - \frac{184 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{4} e^{4}}{x^{3}}\right)} x^{4} e^{2}}{64 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4}} + \frac{1}{64} \, {\left(\frac{184 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{4} e^{26}}{x} - \frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{4} e^{24}}{x^{2}} - \frac{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{4} e^{22}}{x^{3}} - \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{4} e^{20}}{x^{4}}\right)} e^{\left(-24\right)} - \frac{1}{8} \, {\left(48 \, d^{3} e^{4} - {\left(3 \, d^{2} e^{5} + 2 \, {\left(x e^{7} + 4 \, d e^{6}\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"45/8*d^4*arcsin(x*e/d)*e^4*sgn(d) + 45/8*d^4*e^4*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/64*(d^4*e^10 + 8*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^4*e^8/x + 8*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^4*e^6/x^2 - 184*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^4*e^4/x^3)*x^4*e^2/(d*e + sqrt(-x^2*e^2 + d^2)*e)^4 + 1/64*(184*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^4*e^26/x - 8*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^4*e^24/x^2 - 8*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^4*e^22/x^3 - (d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^4*e^20/x^4)*e^(-24) - 1/8*(48*d^3*e^4 - (3*d^2*e^5 + 2*(x*e^7 + 4*d*e^6)*x)*x)*sqrt(-x^2*e^2 + d^2)","B",0
76,1,430,0,0.275534," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^6,x, algorithm=""giac"")","\frac{13}{2} \, d^{3} \arcsin\left(\frac{x e}{d}\right) e^{5} \mathrm{sgn}\left(d\right) - \frac{25}{8} \, d^{3} e^{5} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{{\left(6 \, d^{3} e^{12} + \frac{45 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{3} e^{10}}{x} + \frac{50 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{3} e^{8}}{x^{2}} - \frac{600 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{3} e^{6}}{x^{3}} - \frac{2580 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{3} e^{4}}{x^{4}}\right)} x^{5} e^{3}}{960 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5}} + \frac{1}{960} \, {\left(\frac{2580 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{3} e^{38}}{x} + \frac{600 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{3} e^{36}}{x^{2}} - \frac{50 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{3} e^{34}}{x^{3}} - \frac{45 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{3} e^{32}}{x^{4}} - \frac{6 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{3} e^{30}}{x^{5}}\right)} e^{\left(-35\right)} + \frac{1}{6} \, {\left(4 \, d^{2} e^{5} + {\left(2 \, x e^{7} + 9 \, d e^{6}\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"13/2*d^3*arcsin(x*e/d)*e^5*sgn(d) - 25/8*d^3*e^5*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/960*(6*d^3*e^12 + 45*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^3*e^10/x + 50*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^3*e^8/x^2 - 600*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^3*e^6/x^3 - 2580*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^3*e^4/x^4)*x^5*e^3/(d*e + sqrt(-x^2*e^2 + d^2)*e)^5 + 1/960*(2580*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^3*e^38/x + 600*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^3*e^36/x^2 - 50*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^3*e^34/x^3 - 45*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^3*e^32/x^4 - 6*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^3*e^30/x^5)*e^(-35) + 1/6*(4*d^2*e^5 + (2*x*e^7 + 9*d*e^6)*x)*sqrt(-x^2*e^2 + d^2)","B",0
77,1,485,0,0.311394," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^7,x, algorithm=""giac"")","-\frac{1}{2} \, d^{2} \arcsin\left(\frac{x e}{d}\right) e^{6} \mathrm{sgn}\left(d\right) - \frac{85}{16} \, d^{2} e^{6} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{{\left(5 \, d^{2} e^{14} + \frac{36 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{2} e^{12}}{x} + \frac{45 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{2} e^{10}}{x^{2}} - \frac{340 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{2} e^{8}}{x^{3}} - \frac{1215 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{2} e^{6}}{x^{4}} + \frac{1800 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{2} e^{4}}{x^{5}}\right)} x^{6} e^{4}}{1920 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6}} - \frac{1}{1920} \, {\left(\frac{1800 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{2} e^{52}}{x} - \frac{1215 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{2} e^{50}}{x^{2}} - \frac{340 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{2} e^{48}}{x^{3}} + \frac{45 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{2} e^{46}}{x^{4}} + \frac{36 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{2} e^{44}}{x^{5}} + \frac{5 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} d^{2} e^{42}}{x^{6}}\right)} e^{\left(-48\right)} + \frac{1}{2} \, \sqrt{-x^{2} e^{2} + d^{2}} {\left(x e^{7} + 6 \, d e^{6}\right)}"," ",0,"-1/2*d^2*arcsin(x*e/d)*e^6*sgn(d) - 85/16*d^2*e^6*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/1920*(5*d^2*e^14 + 36*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^2*e^12/x + 45*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^2*e^10/x^2 - 340*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^2*e^8/x^3 - 1215*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^2*e^6/x^4 + 1800*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^2*e^4/x^5)*x^6*e^4/(d*e + sqrt(-x^2*e^2 + d^2)*e)^6 - 1/1920*(1800*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^2*e^52/x - 1215*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^2*e^50/x^2 - 340*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^2*e^48/x^3 + 45*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^2*e^46/x^4 + 36*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^2*e^44/x^5 + 5*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*d^2*e^42/x^6)*e^(-48) + 1/2*sqrt(-x^2*e^2 + d^2)*(x*e^7 + 6*d*e^6)","B",0
78,1,510,0,0.310549," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^8,x, algorithm=""giac"")","-3 \, d \arcsin\left(\frac{x e}{d}\right) e^{7} \mathrm{sgn}\left(d\right) - \frac{15}{16} \, d e^{7} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right) + \frac{{\left(5 \, d e^{16} + \frac{35 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d e^{14}}{x} + \frac{49 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d e^{12}}{x^{2}} - \frac{245 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d e^{10}}{x^{3}} - \frac{875 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d e^{8}}{x^{4}} + \frac{455 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d e^{6}}{x^{5}} + \frac{9065 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} d e^{4}}{x^{6}}\right)} x^{7} e^{5}}{4480 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7}} - \frac{1}{4480} \, {\left(\frac{9065 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d e^{68}}{x} + \frac{455 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d e^{66}}{x^{2}} - \frac{875 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d e^{64}}{x^{3}} - \frac{245 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d e^{62}}{x^{4}} + \frac{49 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d e^{60}}{x^{5}} + \frac{35 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} d e^{58}}{x^{6}} + \frac{5 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} d e^{56}}{x^{7}}\right)} e^{\left(-63\right)} + \sqrt{-x^{2} e^{2} + d^{2}} e^{7}"," ",0,"-3*d*arcsin(x*e/d)*e^7*sgn(d) - 15/16*d*e^7*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x)) + 1/4480*(5*d*e^16 + 35*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d*e^14/x + 49*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d*e^12/x^2 - 245*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d*e^10/x^3 - 875*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d*e^8/x^4 + 455*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d*e^6/x^5 + 9065*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*d*e^4/x^6)*x^7*e^5/(d*e + sqrt(-x^2*e^2 + d^2)*e)^7 - 1/4480*(9065*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d*e^68/x + 455*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d*e^66/x^2 - 875*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d*e^64/x^3 - 245*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d*e^62/x^4 + 49*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d*e^60/x^5 + 35*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*d*e^58/x^6 + 5*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*d*e^56/x^7)*e^(-63) + sqrt(-x^2*e^2 + d^2)*e^7","B",0
79,1,538,0,0.313180," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^9,x, algorithm=""giac"")","-\arcsin\left(\frac{x e}{d}\right) e^{8} \mathrm{sgn}\left(d\right) + \frac{x^{8} {\left(\frac{720 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{16}}{x} + \frac{1120 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{14}}{x^{2}} - \frac{3696 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{12}}{x^{3}} - \frac{14280 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{10}}{x^{4}} - \frac{560 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} e^{8}}{x^{5}} + \frac{77280 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} e^{6}}{x^{6}} + \frac{122640 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} e^{4}}{x^{7}} + 105 \, e^{18}\right)} e^{6}}{215040 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8}} - \frac{1}{215040} \, {\left(\frac{122640 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{86}}{x} + \frac{77280 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{84}}{x^{2}} - \frac{560 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{82}}{x^{3}} - \frac{14280 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{80}}{x^{4}} - \frac{3696 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} e^{78}}{x^{5}} + \frac{1120 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} e^{76}}{x^{6}} + \frac{720 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} e^{74}}{x^{7}} + \frac{105 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8} e^{72}}{x^{8}}\right)} e^{\left(-80\right)} + \frac{125}{128} \, e^{8} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)"," ",0,"-arcsin(x*e/d)*e^8*sgn(d) + 1/215040*x^8*(720*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^16/x + 1120*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^14/x^2 - 3696*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^12/x^3 - 14280*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^10/x^4 - 560*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*e^8/x^5 + 77280*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*e^6/x^6 + 122640*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*e^4/x^7 + 105*e^18)*e^6/(d*e + sqrt(-x^2*e^2 + d^2)*e)^8 - 1/215040*(122640*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^86/x + 77280*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^84/x^2 - 560*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^82/x^3 - 14280*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^80/x^4 - 3696*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*e^78/x^5 + 1120*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*e^76/x^6 + 720*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*e^74/x^7 + 105*(d*e + sqrt(-x^2*e^2 + d^2)*e)^8*e^72/x^8)*e^(-80) + 125/128*e^8*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))","B",0
80,1,620,0,0.465678," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^10,x, algorithm=""giac"")","\frac{x^{9} {\left(\frac{189 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{18}}{x} + \frac{324 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{16}}{x^{2}} - \frac{672 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{14}}{x^{3}} - \frac{3024 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{12}}{x^{4}} - \frac{1512 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} e^{10}}{x^{5}} + \frac{9744 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} e^{8}}{x^{6}} + \frac{18144 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} e^{6}}{x^{7}} - \frac{16632 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8} e^{4}}{x^{8}} + 28 \, e^{20}\right)} e^{7}}{129024 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{9} d} + \frac{55 \, e^{9} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{128 \, d} + \frac{{\left(\frac{16632 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{8} e^{106}}{x} - \frac{18144 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{8} e^{104}}{x^{2}} - \frac{9744 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{8} e^{102}}{x^{3}} + \frac{1512 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{8} e^{100}}{x^{4}} + \frac{3024 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{8} e^{98}}{x^{5}} + \frac{672 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} d^{8} e^{96}}{x^{6}} - \frac{324 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} d^{8} e^{94}}{x^{7}} - \frac{189 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8} d^{8} e^{92}}{x^{8}} - \frac{28 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{9} d^{8} e^{90}}{x^{9}}\right)} e^{\left(-99\right)}}{129024 \, d^{9}}"," ",0,"1/129024*x^9*(189*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^18/x + 324*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^16/x^2 - 672*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^14/x^3 - 3024*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^12/x^4 - 1512*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*e^10/x^5 + 9744*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*e^8/x^6 + 18144*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*e^6/x^7 - 16632*(d*e + sqrt(-x^2*e^2 + d^2)*e)^8*e^4/x^8 + 28*e^20)*e^7/((d*e + sqrt(-x^2*e^2 + d^2)*e)^9*d) + 55/128*e^9*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d + 1/129024*(16632*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^8*e^106/x - 18144*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^8*e^104/x^2 - 9744*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^8*e^102/x^3 + 1512*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^8*e^100/x^4 + 3024*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^8*e^98/x^5 + 672*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*d^8*e^96/x^6 - 324*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*d^8*e^94/x^7 - 189*(d*e + sqrt(-x^2*e^2 + d^2)*e)^8*d^8*e^92/x^8 - 28*(d*e + sqrt(-x^2*e^2 + d^2)*e)^9*d^8*e^90/x^9)*e^(-99)/d^9","B",0
81,1,683,0,0.361381," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^11,x, algorithm=""giac"")","\frac{x^{10} {\left(\frac{280 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{20}}{x} + \frac{525 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{18}}{x^{2}} - \frac{600 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{16}}{x^{3}} - \frac{3570 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{14}}{x^{4}} - \frac{3360 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} e^{12}}{x^{5}} + \frac{5880 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} e^{10}}{x^{6}} + \frac{16800 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} e^{8}}{x^{7}} + \frac{10500 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8} e^{6}}{x^{8}} - \frac{31920 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{9} e^{4}}{x^{9}} + 42 \, e^{22}\right)} e^{8}}{430080 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{10} d^{2}} + \frac{33 \, e^{10} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{256 \, d^{2}} + \frac{{\left(\frac{31920 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{18} e^{128}}{x} - \frac{10500 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{18} e^{126}}{x^{2}} - \frac{16800 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{18} e^{124}}{x^{3}} - \frac{5880 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{18} e^{122}}{x^{4}} + \frac{3360 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{18} e^{120}}{x^{5}} + \frac{3570 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} d^{18} e^{118}}{x^{6}} + \frac{600 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} d^{18} e^{116}}{x^{7}} - \frac{525 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8} d^{18} e^{114}}{x^{8}} - \frac{280 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{9} d^{18} e^{112}}{x^{9}} - \frac{42 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{10} d^{18} e^{110}}{x^{10}}\right)} e^{\left(-120\right)}}{430080 \, d^{20}}"," ",0,"1/430080*x^10*(280*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^20/x + 525*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^18/x^2 - 600*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^16/x^3 - 3570*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^14/x^4 - 3360*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*e^12/x^5 + 5880*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*e^10/x^6 + 16800*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*e^8/x^7 + 10500*(d*e + sqrt(-x^2*e^2 + d^2)*e)^8*e^6/x^8 - 31920*(d*e + sqrt(-x^2*e^2 + d^2)*e)^9*e^4/x^9 + 42*e^22)*e^8/((d*e + sqrt(-x^2*e^2 + d^2)*e)^10*d^2) + 33/256*e^10*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^2 + 1/430080*(31920*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^18*e^128/x - 10500*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^18*e^126/x^2 - 16800*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^18*e^124/x^3 - 5880*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^18*e^122/x^4 + 3360*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^18*e^120/x^5 + 3570*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*d^18*e^118/x^6 + 600*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*d^18*e^116/x^7 - 525*(d*e + sqrt(-x^2*e^2 + d^2)*e)^8*d^18*e^114/x^8 - 280*(d*e + sqrt(-x^2*e^2 + d^2)*e)^9*d^18*e^112/x^9 - 42*(d*e + sqrt(-x^2*e^2 + d^2)*e)^10*d^18*e^110/x^10)*e^(-120)/d^20","B",0
82,1,746,0,0.363476," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^(5/2)/x^12,x, algorithm=""giac"")","\frac{x^{11} {\left(\frac{4158 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{22}}{x} + \frac{8470 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} e^{20}}{x^{2}} - \frac{3465 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} e^{18}}{x^{3}} - \frac{40590 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} e^{16}}{x^{4}} - \frac{57750 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} e^{14}}{x^{5}} + \frac{6930 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} e^{12}}{x^{6}} + \frac{138600 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} e^{10}}{x^{7}} + \frac{244860 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8} e^{8}}{x^{8}} + \frac{152460 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{9} e^{6}}{x^{9}} - \frac{568260 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{10} e^{4}}{x^{10}} + 630 \, e^{24}\right)} e^{9}}{14192640 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{11} d^{3}} + \frac{19 \, e^{11} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{256 \, d^{3}} + \frac{{\left(\frac{568260 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{30} e^{152}}{x} - \frac{152460 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{30} e^{150}}{x^{2}} - \frac{244860 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{30} e^{148}}{x^{3}} - \frac{138600 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{4} d^{30} e^{146}}{x^{4}} - \frac{6930 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{5} d^{30} e^{144}}{x^{5}} + \frac{57750 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{6} d^{30} e^{142}}{x^{6}} + \frac{40590 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{7} d^{30} e^{140}}{x^{7}} + \frac{3465 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{8} d^{30} e^{138}}{x^{8}} - \frac{8470 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{9} d^{30} e^{136}}{x^{9}} - \frac{4158 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{10} d^{30} e^{134}}{x^{10}} - \frac{630 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{11} d^{30} e^{132}}{x^{11}}\right)} e^{\left(-143\right)}}{14192640 \, d^{33}}"," ",0,"1/14192640*x^11*(4158*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^22/x + 8470*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*e^20/x^2 - 3465*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*e^18/x^3 - 40590*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*e^16/x^4 - 57750*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*e^14/x^5 + 6930*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*e^12/x^6 + 138600*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*e^10/x^7 + 244860*(d*e + sqrt(-x^2*e^2 + d^2)*e)^8*e^8/x^8 + 152460*(d*e + sqrt(-x^2*e^2 + d^2)*e)^9*e^6/x^9 - 568260*(d*e + sqrt(-x^2*e^2 + d^2)*e)^10*e^4/x^10 + 630*e^24)*e^9/((d*e + sqrt(-x^2*e^2 + d^2)*e)^11*d^3) + 19/256*e^11*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^3 + 1/14192640*(568260*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^30*e^152/x - 152460*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^30*e^150/x^2 - 244860*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^30*e^148/x^3 - 138600*(d*e + sqrt(-x^2*e^2 + d^2)*e)^4*d^30*e^146/x^4 - 6930*(d*e + sqrt(-x^2*e^2 + d^2)*e)^5*d^30*e^144/x^5 + 57750*(d*e + sqrt(-x^2*e^2 + d^2)*e)^6*d^30*e^142/x^6 + 40590*(d*e + sqrt(-x^2*e^2 + d^2)*e)^7*d^30*e^140/x^7 + 3465*(d*e + sqrt(-x^2*e^2 + d^2)*e)^8*d^30*e^138/x^8 - 8470*(d*e + sqrt(-x^2*e^2 + d^2)*e)^9*d^30*e^136/x^9 - 4158*(d*e + sqrt(-x^2*e^2 + d^2)*e)^10*d^30*e^134/x^10 - 630*(d*e + sqrt(-x^2*e^2 + d^2)*e)^11*d^30*e^132/x^11)*e^(-143)/d^33","B",0
83,1,118,0,0.300533," ","integrate(x^5*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{13}{2} \, d^{2} \arcsin\left(\frac{x e}{d}\right) e^{\left(-6\right)} \mathrm{sgn}\left(d\right) - \frac{{\left(304 \, d^{7} e^{\left(-6\right)} + {\left(195 \, d^{6} e^{\left(-5\right)} - {\left(760 \, d^{5} e^{\left(-4\right)} + {\left(455 \, d^{4} e^{\left(-3\right)} - {\left(570 \, d^{3} e^{\left(-2\right)} + {\left(299 \, d^{2} e^{\left(-1\right)} - 15 \, {\left(x e + 6 \, d\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{30 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-13/2*d^2*arcsin(x*e/d)*e^(-6)*sgn(d) - 1/30*(304*d^7*e^(-6) + (195*d^6*e^(-5) - (760*d^5*e^(-4) + (455*d^4*e^(-3) - (570*d^3*e^(-2) + (299*d^2*e^(-1) - 15*(x*e + 6*d)*x)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
84,1,107,0,0.293000," ","integrate(x^4*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-3 \, d \arcsin\left(\frac{x e}{d}\right) e^{\left(-5\right)} \mathrm{sgn}\left(d\right) - \frac{{\left(24 \, d^{6} e^{\left(-5\right)} + {\left(15 \, d^{5} e^{\left(-4\right)} - {\left(60 \, d^{4} e^{\left(-3\right)} + {\left(35 \, d^{3} e^{\left(-2\right)} - {\left(45 \, d^{2} e^{\left(-1\right)} - {\left(5 \, x e - 24 \, d\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{5 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-3*d*arcsin(x*e/d)*e^(-5)*sgn(d) - 1/5*(24*d^6*e^(-5) + (15*d^5*e^(-4) - (60*d^4*e^(-3) + (35*d^3*e^(-2) - (45*d^2*e^(-1) - (5*x*e - 24*d)*x)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
85,1,95,0,0.292368," ","integrate(x^3*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\arcsin\left(\frac{x e}{d}\right) e^{\left(-4\right)} \mathrm{sgn}\left(d\right) - \frac{{\left(22 \, d^{5} e^{\left(-4\right)} + {\left(15 \, d^{4} e^{\left(-3\right)} - {\left(55 \, d^{3} e^{\left(-2\right)} + {\left(35 \, d^{2} e^{\left(-1\right)} - {\left(32 \, x e + 45 \, d\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-arcsin(x*e/d)*e^(-4)*sgn(d) - 1/15*(22*d^5*e^(-4) + (15*d^4*e^(-3) - (55*d^3*e^(-2) + (35*d^2*e^(-1) - (32*x*e + 45*d)*x)*x)*x)*x)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
86,1,72,0,0.284397," ","integrate(x^2*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{{\left(2 \, d^{4} e^{\left(-3\right)} - {\left(5 \, d^{2} e^{\left(-1\right)} - {\left(x {\left(\frac{7 \, x e^{2}}{d} + 15 \, e\right)} + 5 \, d\right)} x\right)} x^{2}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/15*(2*d^4*e^(-3) - (5*d^2*e^(-1) - (x*(7*x*e^2/d + 15*e) + 5*d)*x)*x^2)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
87,1,60,0,0.308364," ","integrate(x*(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\frac{{\left(d^{3} e^{\left(-2\right)} + {\left(x {\left(\frac{x^{2} e^{3}}{d^{2}} - 5 \, e\right)} - 5 \, d\right)} x^{2}\right)} \sqrt{-x^{2} e^{2} + d^{2}}}{5 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"1/5*(d^3*e^(-2) + (x*(x^2*e^3/d^2 - 5*e) - 5*d)*x^2)*sqrt(-x^2*e^2 + d^2)/(x^2*e^2 - d^2)^3","A",0
88,1,70,0,0.290599," ","integrate((e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left(7 \, d^{2} e^{\left(-1\right)} + {\left({\left(x {\left(\frac{2 \, x^{2} e^{4}}{d^{3}} - \frac{5 \, e^{2}}{d}\right)} + 5 \, e\right)} x + 15 \, d\right)} x\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*(7*d^2*e^(-1) + ((x*(2*x^2*e^4/d^3 - 5*e^2/d) + 5*e)*x + 15*d)*x)/(x^2*e^2 - d^2)^3","A",0
89,1,117,0,0.290962," ","integrate((e*x+d)^3/x/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left(x {\left(\frac{22 \, x e^{5}}{d^{4}} + \frac{15 \, e^{4}}{d^{3}}\right)} - \frac{55 \, e^{3}}{d^{2}}\right)} x - \frac{35 \, e^{2}}{d}\right)} x + 45 \, e\right)} x + 32 \, d\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} - \frac{\log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{d^{4}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*((((x*(22*x*e^5/d^4 + 15*e^4/d^3) - 55*e^3/d^2)*x - 35*e^2/d)*x + 45*e)*x + 32*d)/(x^2*e^2 - d^2)^3 - log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^4","A",0
90,1,185,0,0.290216," ","integrate((e*x+d)^3/x^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left(x {\left(\frac{19 \, x e^{6}}{d^{5}} + \frac{15 \, e^{5}}{d^{4}}\right)} - \frac{45 \, e^{4}}{d^{3}}\right)} x - \frac{35 \, e^{3}}{d^{2}}\right)} x + \frac{30 \, e^{2}}{d}\right)} x + 24 \, e\right)}}{5 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} - \frac{3 \, e \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{d^{5}} + \frac{x e^{3}}{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{5}} - \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{\left(-1\right)}}{2 \, d^{5} x}"," ",0,"-1/5*sqrt(-x^2*e^2 + d^2)*((((x*(19*x*e^6/d^5 + 15*e^5/d^4) - 45*e^4/d^3)*x - 35*e^3/d^2)*x + 30*e^2/d)*x + 24*e)/(x^2*e^2 - d^2)^3 - 3*e*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^5 + 1/2*x*e^3/((d*e + sqrt(-x^2*e^2 + d^2)*e)*d^5) - 1/2*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^(-1)/(d^5*x)","A",0
91,1,259,0,0.330966," ","integrate((e*x+d)^3/x^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left(x {\left(\frac{107 \, x e^{7}}{d^{6}} + \frac{90 \, e^{6}}{d^{5}}\right)} - \frac{245 \, e^{5}}{d^{4}}\right)} x - \frac{205 \, e^{4}}{d^{3}}\right)} x + \frac{150 \, e^{3}}{d^{2}}\right)} x + \frac{127 \, e^{2}}{d}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} - \frac{13 \, e^{2} \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{2 \, d^{6}} + \frac{x^{2} {\left(\frac{12 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{4}}{x} + e^{6}\right)}}{8 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{6}} - \frac{{\left(\frac{12 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{6} e^{8}}{x} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{6} e^{6}}{x^{2}}\right)} e^{\left(-8\right)}}{8 \, d^{12}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*((((x*(107*x*e^7/d^6 + 90*e^6/d^5) - 245*e^5/d^4)*x - 205*e^4/d^3)*x + 150*e^3/d^2)*x + 127*e^2/d)/(x^2*e^2 - d^2)^3 - 13/2*e^2*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d^6 + 1/8*x^2*(12*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^4/x + e^6)/((d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^6) - 1/8*(12*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^6*e^8/x + (d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^6*e^6/x^2)*e^(-8)/d^12","A",0
92,1,77,0,0.204909," ","integrate(x^4*(-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""giac"")","\frac{3}{8} \, d^{5} \arcsin\left(\frac{x e}{d}\right) e^{\left(-5\right)} \mathrm{sgn}\left(d\right) + \frac{1}{120} \, {\left(64 \, d^{4} e^{\left(-5\right)} - {\left(45 \, d^{3} e^{\left(-4\right)} - 2 \, {\left(16 \, d^{2} e^{\left(-3\right)} + 3 \, {\left(4 \, x e^{\left(-1\right)} - 5 \, d e^{\left(-2\right)}\right)} x\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"3/8*d^5*arcsin(x*e/d)*e^(-5)*sgn(d) + 1/120*(64*d^4*e^(-5) - (45*d^3*e^(-4) - 2*(16*d^2*e^(-3) + 3*(4*x*e^(-1) - 5*d*e^(-2))*x)*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
93,1,66,0,0.210767," ","integrate(x^3*(-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""giac"")","-\frac{3}{8} \, d^{4} \arcsin\left(\frac{x e}{d}\right) e^{\left(-4\right)} \mathrm{sgn}\left(d\right) - \frac{1}{24} \, {\left(16 \, d^{3} e^{\left(-4\right)} - {\left(9 \, d^{2} e^{\left(-3\right)} + 2 \, {\left(3 \, x e^{\left(-1\right)} - 4 \, d e^{\left(-2\right)}\right)} x\right)} x\right)} \sqrt{-x^{2} e^{2} + d^{2}}"," ",0,"-3/8*d^4*arcsin(x*e/d)*e^(-4)*sgn(d) - 1/24*(16*d^3*e^(-4) - (9*d^2*e^(-3) + 2*(3*x*e^(-1) - 4*d*e^(-2))*x)*x)*sqrt(-x^2*e^2 + d^2)","A",0
94,1,54,0,0.202800," ","integrate(x^2*(-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""giac"")","\frac{1}{2} \, d^{3} \arcsin\left(\frac{x e}{d}\right) e^{\left(-3\right)} \mathrm{sgn}\left(d\right) + \frac{1}{6} \, \sqrt{-x^{2} e^{2} + d^{2}} {\left(4 \, d^{2} e^{\left(-3\right)} + {\left(2 \, x e^{\left(-1\right)} - 3 \, d e^{\left(-2\right)}\right)} x\right)}"," ",0,"1/2*d^3*arcsin(x*e/d)*e^(-3)*sgn(d) + 1/6*sqrt(-x^2*e^2 + d^2)*(4*d^2*e^(-3) + (2*x*e^(-1) - 3*d*e^(-2))*x)","A",0
95,1,43,0,0.220007," ","integrate(x*(-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""giac"")","-\frac{1}{2} \, d^{2} \arcsin\left(\frac{x e}{d}\right) e^{\left(-2\right)} \mathrm{sgn}\left(d\right) + \frac{1}{2} \, \sqrt{-x^{2} e^{2} + d^{2}} {\left(x e^{\left(-1\right)} - 2 \, d e^{\left(-2\right)}\right)}"," ",0,"-1/2*d^2*arcsin(x*e/d)*e^(-2)*sgn(d) + 1/2*sqrt(-x^2*e^2 + d^2)*(x*e^(-1) - 2*d*e^(-2))","A",0
96,1,31,0,0.214128," ","integrate((-e^2*x^2+d^2)^(1/2)/(e*x+d),x, algorithm=""giac"")","d \arcsin\left(\frac{x e}{d}\right) e^{\left(-1\right)} \mathrm{sgn}\left(d\right) + \sqrt{-x^{2} e^{2} + d^{2}} e^{\left(-1\right)}"," ",0,"d*arcsin(x*e/d)*e^(-1)*sgn(d) + sqrt(-x^2*e^2 + d^2)*e^(-1)","A",0
97,1,48,0,0.211805," ","integrate((-e^2*x^2+d^2)^(1/2)/x/(e*x+d),x, algorithm=""giac"")","-\arcsin\left(\frac{x e}{d}\right) \mathrm{sgn}\left(d\right) - \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)"," ",0,"-arcsin(x*e/d)*sgn(d) - log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))","A",0
98,1,102,0,0.211479," ","integrate((-e^2*x^2+d^2)^(1/2)/x^2/(e*x+d),x, algorithm=""giac"")","\frac{e \log\left(\frac{{\left| -2 \, d e - 2 \, \sqrt{-x^{2} e^{2} + d^{2}} e \right|} e^{\left(-2\right)}}{2 \, {\left| x \right|}}\right)}{d} + \frac{x e^{3}}{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d} - \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} e^{\left(-1\right)}}{2 \, d x}"," ",0,"e*log(1/2*abs(-2*d*e - 2*sqrt(-x^2*e^2 + d^2)*e)*e^(-2)/abs(x))/d + 1/2*x*e^3/((d*e + sqrt(-x^2*e^2 + d^2)*e)*d) - 1/2*(d*e + sqrt(-x^2*e^2 + d^2)*e)*e^(-1)/(d*x)","B",0
99,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^3/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/8*(exp(2)^3+2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^3/x/exp(2))/d^2/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2/exp(1)^4+1/16*(-2*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^5-4*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^4/x/exp(2))/d^4/exp(1)^6/exp(2)^3+1/2*(exp(2)^3-2*exp(1)^4*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^2/exp(1)^3/exp(1)+1/2*(4*exp(1)^3*exp(2)-4*exp(1)*exp(2)^2)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/d^2/sqrt(-exp(1)^4+exp(2)^2)/exp(1)","F(-2)",0
100,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^4/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/24*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(12*exp(1)^4*exp(2)^2-3*exp(2)^4)+exp(2)^4+3/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^4/x/exp(2))/d^3/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3/exp(1)^5+1/512*(64*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^7-64/3*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^8+96*d^6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^8/x/exp(2)-128*d^6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^7/x/exp(2)+128*d^6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^12*exp(2)^6/x/exp(2))/d^9/exp(1)^15/exp(2)^3+1/2*(4*exp(2)^3-4*exp(1)^4*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/d^3/sqrt(-exp(1)^4+exp(2)^2)/exp(1)+1/2*(-exp(2)^3+2*exp(1)^4*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^3/exp(1)/exp(2)","F(-2)",0
101,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x^5/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/192*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(-96*exp(1)^6*exp(2)^2+96*exp(1)^4*exp(2)^3-72*exp(2)^5)+24*exp(1)^4*exp(2)^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2+3*exp(2)^5+4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^5/x/exp(2))/d^4/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4/exp(1)^6+1/65536*(-8192*d^12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^22*exp(2)^7+8192/3*d^12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^20*exp(2)^8-1024*d^12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^18*exp(2)^9+8192*d^12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^20*exp(2)^8-8192*d^12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^18*exp(2)^9-12288*d^12*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^20*exp(2)^8/x/exp(2)+16384*d^12*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^22*exp(2)^7/x/exp(2)-16384*d^12*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^24*exp(2)^6/x/exp(2))/d^16/exp(1)^24/exp(2)^4+1/2*(-4*exp(1)^3*exp(2)^2+4*exp(1)^5*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/d^4/sqrt(-exp(1)^4+exp(2)^2)/exp(1)+1/8*(8*exp(1)^6*exp(2)^2-4*exp(1)^4*exp(2)^3+exp(2)^5-8*exp(1)^8*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^4/exp(1)^5/exp(1)","F(-2)",0
102,-2,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^(3/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(4*d^5*exp(2)^3-4*d^5*exp(1)^4*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^6/exp(1)+1/8*d^5*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)/exp(2)+2*((((-192*exp(1)^7*1/1920/exp(1)^6*x+240*exp(1)^6*d*1/1920/exp(1)^6)*x+64*exp(1)^5*d^2*1/1920/exp(1)^6)*x-120*exp(1)^4*d^3*1/1920/exp(1)^6)*x+128*exp(1)^3*d^4*1/1920/exp(1)^6)*sqrt(d^2-x^2*exp(2))","F(-2)",0
103,-2,0,0,0.000000," ","integrate(x^4*(-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(12*d^9*exp(1)^4*exp(2)^2-8*d^9*exp(2)^4-4*d^9*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^10/exp(1)+3/128*d^9*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^5+2*((((((((322560*exp(1)^17*1/5806080/exp(1)^14*x-362880*exp(1)^16*d*1/5806080/exp(1)^14)*x-460800*exp(1)^15*d^2*1/5806080/exp(1)^14)*x+544320*exp(1)^14*d^3*1/5806080/exp(1)^14)*x+27648*exp(1)^13*d^4*1/5806080/exp(1)^14)*x-45360*exp(1)^12*d^5*1/5806080/exp(1)^14)*x+36864*exp(1)^11*d^6*1/5806080/exp(1)^14)*x-68040*exp(1)^10*d^7*1/5806080/exp(1)^14)*x+73728*exp(1)^9*d^8*1/5806080/exp(1)^14)*sqrt(d^2-x^2*exp(2))","F(-2)",0
104,-2,0,0,0.000000," ","integrate(x^3*(-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(-12*d^8*exp(1)^4*exp(2)^2+8*d^8*exp(2)^4+4*d^8*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^9/exp(1)-3/128*d^8*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^4+2*(((((((40320*exp(1)^15*1/645120/exp(1)^12*x-46080*exp(1)^14*d*1/645120/exp(1)^12)*x-60480*exp(1)^13*d^2*1/645120/exp(1)^12)*x+73728*exp(1)^12*d^3*1/645120/exp(1)^12)*x+5040*exp(1)^11*d^4*1/645120/exp(1)^12)*x-9216*exp(1)^10*d^5*1/645120/exp(1)^12)*x+7560*exp(1)^9*d^6*1/645120/exp(1)^12)*x-18432*exp(1)^8*d^7*1/645120/exp(1)^12)*sqrt(d^2-x^2*exp(2))","F(-2)",0
105,-2,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(12*d^7*exp(1)^4*exp(2)^2-8*d^7*exp(2)^4-4*d^7*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^8/exp(1)+1/16*d^7*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)/exp(2)+2*((((((5760*exp(1)^13*1/80640/exp(1)^10*x-6720*exp(1)^12*d*1/80640/exp(1)^10)*x-9216*exp(1)^11*d^2*1/80640/exp(1)^10)*x+11760*exp(1)^10*d^3*1/80640/exp(1)^10)*x+1152*exp(1)^9*d^4*1/80640/exp(1)^10)*x-2520*exp(1)^8*d^5*1/80640/exp(1)^10)*x+2304*exp(1)^7*d^6*1/80640/exp(1)^10)*sqrt(d^2-x^2*exp(2))","F(-2)",0
106,-2,0,0,0.000000," ","integrate(x*(-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(-12*d^6*exp(1)^4*exp(2)^2+8*d^6*exp(2)^4+4*d^6*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^7/exp(1)-1/16*d^6*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^2+2*(((((960*exp(1)^11*1/11520/exp(1)^8*x-1152*exp(1)^10*d*1/11520/exp(1)^8)*x-1680*exp(1)^9*d^2*1/11520/exp(1)^8)*x+2304*exp(1)^8*d^3*1/11520/exp(1)^8)*x+360*exp(1)^7*d^4*1/11520/exp(1)^8)*x-1152*exp(1)^6*d^5*1/11520/exp(1)^8)*sqrt(d^2-x^2*exp(2))","F(-2)",0
107,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(12*d^5*exp(1)^4*exp(2)^2-8*d^5*exp(2)^4-4*d^5*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^6/exp(1)+3/8*d^5*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)+2*((((192*exp(1)^9*1/1920/exp(1)^6*x-240*exp(1)^8*d*1/1920/exp(1)^6)*x-384*exp(1)^7*d^2*1/1920/exp(1)^6)*x+600*exp(1)^6*d^3*1/1920/exp(1)^6)*x+192*exp(1)^5*d^4*1/1920/exp(1)^6)*sqrt(d^2-x^2*exp(2))","F(-2)",0
108,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -3/8*d^4*sign(d)*asin(x*exp(2)/d/exp(1))+1/2*(-12*d^4*exp(1)^4*exp(2)^2+8*d^4*exp(2)^4+4*d^4*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^5/exp(1)-d^4*exp(2)*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/exp(1)^2+2*(((24*exp(1)^7*1/192/exp(1)^4*x-32*exp(1)^6*d*1/192/exp(1)^4)*x-60*exp(1)^5*d^2*1/192/exp(1)^4)*x+128*exp(1)^4*d^3*1/192/exp(1)^4)*sqrt(d^2-x^2*exp(2))","F(-2)",0
109,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^2/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(12*d^3*exp(1)^4*exp(2)^2-8*d^3*exp(2)^4-4*d^3*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^4/exp(1)-d^3*x*exp(2)^3/(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/exp(1)/exp(2)+1/4*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^4/exp(1)^4/x/exp(1)/exp(2)^2+d^3*exp(2)*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/exp(1)-3/2*d^3*sign(d)*asin(x*exp(2)/d/exp(1))*exp(2)/exp(1)+2*((4*exp(1)^5*1/24/exp(1)^2*x-6*exp(1)^4*d*1/24/exp(1)^2)*x-16*exp(1)^3*d^2*1/24/exp(1)^2)*sqrt(d^2-x^2*exp(2))","F(-2)",0
110,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^3/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/8*(d^2*exp(2)^3+2*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^3/x/exp(2))/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2/exp(1)^4+1/16*(-2*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^5-4*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^4/x/exp(2))/exp(1)^6/exp(2)^3+1/2*(5*d^2*exp(2)^3-2*d^2*exp(1)^4*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/exp(1)^3/exp(1)+1/2*(-12*d^2*exp(1)^4*exp(2)^2+8*d^2*exp(2)^4+4*d^2*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^3/exp(1)+3/2*d^2*sign(d)*asin(x*exp(2)/d/exp(1))*exp(1)^2+2*(2*exp(1)^3/8*x-4*exp(1)^2*d/8)*sqrt(d^2-x^2*exp(2))","F(-2)",0
111,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^4/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/24*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(12*d*exp(1)^4*exp(2)^2-27*d*exp(2)^4)+d*exp(2)^4+3/2*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^4/x/exp(2))/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3/exp(1)^5+1/512*(64*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^7-64/3*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^8+96*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^8/x/exp(2)-384*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^7/x/exp(2)+128*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^12*exp(2)^6/x/exp(2))/exp(1)^15/exp(2)^3+1/2*(-5*d*exp(2)^3+2*d*exp(1)^4*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/exp(1)/exp(2)+1/2*(12*d*exp(1)^4*exp(2)^2-8*d*exp(2)^4-4*d*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)/exp(2)+d*sign(d)*asin(x*exp(2)/d/exp(1))*exp(1)^3+4*exp(1)^3/4*sqrt(d^2-x^2*exp(2))","F(-2)",0
112,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^5/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/192*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(-96*exp(1)^6*exp(2)^2+288*exp(1)^4*exp(2)^3-72*exp(2)^5)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(24*exp(1)^4*exp(2)^3-48*exp(2)^5)+3*exp(2)^5+4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^5/x/exp(2))/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4/exp(1)^6+1/65536*(-8192*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^22*exp(2)^7+8192/3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^20*exp(2)^8-1024*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^18*exp(2)^9+24576*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^20*exp(2)^8-8192*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^18*exp(2)^9-12288*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^20*exp(2)^8/x/exp(2)+49152*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^22*exp(2)^7/x/exp(2)-16384*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^24*exp(2)^6/x/exp(2))/exp(1)^24/exp(2)^4+1/2*(-12*exp(1)^4*exp(2)^2+8*exp(2)^4+4*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^2+1/8*(24*exp(1)^6*exp(2)^2-28*exp(1)^4*exp(2)^3+9*exp(2)^5-8*exp(1)^8*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/exp(1)^5/exp(1)-sign(d)*asin(x*exp(2)/d/exp(1))*exp(1)^4","F(-2)",0
113,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^6/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/960*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*(480*exp(1)^8*exp(2)^2-1440*exp(1)^6*exp(2)^3+1800*exp(1)^4*exp(2)^4-780*exp(2)^6)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(-120*exp(1)^6*exp(2)^3+360*exp(1)^4*exp(2)^4-120*exp(2)^6)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(40*exp(1)^4*exp(2)^4-70*exp(2)^6)+6*exp(2)^6+15/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^6/x/exp(2))/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5/exp(1)^6/d/exp(1)+1/33554432*(4194304*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^34*exp(2)^8-4194304/3*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^32*exp(2)^9+524288*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^30*exp(2)^10-1048576/5*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^28*exp(2)^11-12582912*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^32*exp(2)^9+4194304*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^30*exp(2)^10+4194304*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^30*exp(2)^10-5242880/3*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^28*exp(2)^11+5242880*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^28*exp(2)^11/x/exp(2)-18874368*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^30*exp(2)^10/x/exp(2)+31457280*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^32*exp(2)^9/x/exp(2)-25165824*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^34*exp(2)^8/x/exp(2)+8388608*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^36*exp(2)^7/x/exp(2))/d^5/exp(1)^35/exp(2)^5+1/2*(12*exp(1)^4*exp(2)^2-8*exp(2)^4-4*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/d/exp(1)+1/8*(-24*exp(1)^6*exp(2)^2+28*exp(1)^4*exp(2)^3-9*exp(2)^5+8*exp(1)^8*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/exp(1)^4/d/exp(1)","F(-2)",0
114,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^7/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/1920*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*(-960*exp(1)^10*exp(2)^2+2880*exp(1)^8*exp(2)^3-3600*exp(1)^6*exp(2)^4+2160*exp(1)^4*exp(2)^5-600*exp(2)^7)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*(240*exp(1)^8*exp(2)^3-720*exp(1)^6*exp(2)^4+960*exp(1)^4*exp(2)^5-495*exp(2)^7)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(-80*exp(1)^6*exp(2)^4+240*exp(1)^4*exp(2)^5-100*exp(2)^7)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(30*exp(1)^4*exp(2)^5-45*exp(2)^7)+5*exp(2)^7+6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^7/x/exp(2))/d^2/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6/exp(1)^8+1/68719476736*(-8589934592*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^48*exp(2)^9+8589934592/3*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^46*exp(2)^10-1073741824*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^44*exp(2)^11+2147483648/5*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^42*exp(2)^12-536870912/3*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*exp(1)^40*exp(2)^13+25769803776*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^46*exp(2)^10-8589934592*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^44*exp(2)^11+3221225472*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^42*exp(2)^12-34359738368*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^44*exp(2)^11+10737418240/3*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^42*exp(2)^12-1610612736*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^40*exp(2)^13+25769803776*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^42*exp(2)^12-8053063680*d^10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^40*exp(2)^13-10737418240*d^10*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^42*exp(2)^12/x/exp(2)+38654705664*d^10*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^44*exp(2)^11/x/exp(2)-64424509440*d^10*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^46*exp(2)^10/x/exp(2)+51539607552*d^10*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^48*exp(2)^9/x/exp(2)-17179869184*d^10*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^50*exp(2)^8/x/exp(2))/d^12/exp(1)^48/exp(2)^6+1/2*(-12*exp(1)^5*exp(2)^2+12*exp(1)^3*exp(2)^3+4*exp(1)^7*exp(2)-4*exp(1)*exp(2)^4)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/d^2/sqrt(-exp(1)^4+exp(2)^2)/exp(1)+1/16*(48*exp(1)^10*exp(2)^2-56*exp(1)^8*exp(2)^3+40*exp(1)^6*exp(2)^4-30*exp(1)^4*exp(2)^5+13*exp(2)^7-16*exp(1)^12*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^2/exp(1)^7/exp(1)","F(-2)",0
115,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^8/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/13440*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*(6720*exp(1)^12*exp(2)^2-20160*exp(1)^10*exp(2)^3+25200*exp(1)^8*exp(2)^4-21840*exp(1)^6*exp(2)^5+19320*exp(1)^4*exp(2)^6-8925*exp(2)^8)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*(-1680*exp(1)^10*exp(2)^3+5040*exp(1)^8*exp(2)^4-6720*exp(1)^6*exp(2)^5+5040*exp(1)^4*exp(2)^6-1575*exp(2)^8)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*(560*exp(1)^8*exp(2)^4-1680*exp(1)^6*exp(2)^5+2380*exp(1)^4*exp(2)^6-1365*exp(2)^8)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(-210*exp(1)^6*exp(2)^5+630*exp(1)^4*exp(2)^6-315*exp(2)^8)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(84*exp(1)^4*exp(2)^6-105*exp(2)^8)+15*exp(2)^8+35/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2))/d^3/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^7/exp(1)^9+1/562949953421312*(70368744177664*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^64*exp(2)^10-70368744177664/3*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^62*exp(2)^11+8796093022208*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^60*exp(2)^12-17592186044416/5*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^58*exp(2)^13+4398046511104/3*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*exp(1)^56*exp(2)^14-4398046511104/7*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^7*exp(1)^54*exp(2)^15-211106232532992*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^62*exp(2)^11+70368744177664*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^60*exp(2)^12-26388279066624*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^58*exp(2)^13+52776558133248/5*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^56*exp(2)^14+281474976710656*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^60*exp(2)^12-299067162755072/3*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^58*exp(2)^13+13194139533312*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^56*exp(2)^14-30786325577728/5*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^54*exp(2)^15-211106232532992*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^58*exp(2)^13+87960930222080*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^56*exp(2)^14+65970697666560*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^56*exp(2)^14-30786325577728*d^18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^54*exp(2)^15+76965813944320*d^18*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^54*exp(2)^15/x/exp(2)-263882790666240*d^18*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^56*exp(2)^14/x/exp(2)+404620279021568*d^18*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^58*exp(2)^13/x/exp(2)-457396837154816*d^18*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^60*exp(2)^12/x/exp(2)+527765581332480*d^18*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^62*exp(2)^11/x/exp(2)-422212465065984*d^18*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^64*exp(2)^10/x/exp(2)+140737488355328*d^18*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^66*exp(2)^9/x/exp(2))/d^21/exp(1)^63/exp(2)^7+1/2*(12*exp(1)^6*exp(2)^2-12*exp(1)^4*exp(2)^3+4*exp(2)^5-4*exp(1)^8*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/d^3/sqrt(-exp(1)^4+exp(2)^2)/exp(1)+1/16*(-48*exp(1)^10*exp(2)^2+56*exp(1)^8*exp(2)^3-40*exp(1)^6*exp(2)^4+30*exp(1)^4*exp(2)^5-13*exp(2)^7+16*exp(1)^12*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^3/exp(1)^6/exp(1)","F(-2)",0
116,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^9/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/215040*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^7*(-107520*exp(1)^14*exp(2)^2+322560*exp(1)^12*exp(2)^3-403200*exp(1)^10*exp(2)^4+349440*exp(1)^8*exp(2)^5-309120*exp(1)^6*exp(2)^6+201600*exp(1)^4*exp(2)^7-58800*exp(2)^9)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*(26880*exp(1)^12*exp(2)^3-80640*exp(1)^10*exp(2)^4+107520*exp(1)^8*exp(2)^5-107520*exp(1)^6*exp(2)^6+105840*exp(1)^4*exp(2)^7-52080*exp(2)^9)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*(-8960*exp(1)^10*exp(2)^4+26880*exp(1)^8*exp(2)^5-38080*exp(1)^6*exp(2)^6+33600*exp(1)^4*exp(2)^7-11760*exp(2)^9)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*(3360*exp(1)^8*exp(2)^5-10080*exp(1)^6*exp(2)^6+15120*exp(1)^4*exp(2)^7-9240*exp(2)^9)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(-1344*exp(1)^6*exp(2)^6+4032*exp(1)^4*exp(2)^7-2352*exp(2)^9)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(560*exp(1)^4*exp(2)^7-560*exp(2)^9)+105*exp(2)^9+120*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^9/x/exp(2))/d^4/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^8/exp(1)^10+1/18446744073709551616*(-2305843009213693952*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^82*exp(2)^11+2305843009213693952/3*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^80*exp(2)^12-288230376151711744*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^78*exp(2)^13+576460752303423488/5*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^76*exp(2)^14-144115188075855872/3*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*exp(1)^74*exp(2)^15+144115188075855872/7*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^7*exp(1)^72*exp(2)^16-9007199254740992*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^8*exp(1)^70*exp(2)^17+6917529027641081856*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^80*exp(2)^12-2305843009213693952*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^78*exp(2)^13+864691128455135232*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^76*exp(2)^14-1729382256910270464/5*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^74*exp(2)^15+144115188075855872*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*exp(1)^72*exp(2)^16-9223372036854775808*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^78*exp(2)^13+9799832789158199296/3*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^76*exp(2)^14-1297036692682702848*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^74*exp(2)^15+1008806316530991104/5*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^72*exp(2)^16-288230376151711744/3*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*exp(1)^70*exp(2)^17+9223372036854775808*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^76*exp(2)^14-2882303761517117440*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^74*exp(2)^15+1297036692682702848*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^72*exp(2)^16-9079256848778919936*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^74*exp(2)^15+1008806316530991104*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^72*exp(2)^16-504403158265495552*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^70*exp(2)^17+6485183463413514240*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^72*exp(2)^16-2017612633061982208*d^28*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^70*exp(2)^17-2522015791327477760*d^28*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^72*exp(2)^16/x/exp(2)+8646911284551352320*d^28*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^74*exp(2)^15/x/exp(2)-13258597302978740224*d^28*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^76*exp(2)^14/x/exp(2)+14987979559889010688*d^28*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^78*exp(2)^13/x/exp(2)-17293822569102704640*d^28*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^80*exp(2)^12/x/exp(2)+13835058055282163712*d^28*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^82*exp(2)^11/x/exp(2)-4611686018427387904*d^28*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^84*exp(2)^10/x/exp(2))/d^32/exp(1)^80/exp(2)^8+1/2*(-12*exp(1)^7*exp(2)^2+12*exp(1)^5*exp(2)^3-4*exp(1)^3*exp(2)^4+4*exp(1)^9*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/d^4/sqrt(-exp(1)^4+exp(2)^2)/exp(1)+1/128*(384*exp(1)^14*exp(2)^2-448*exp(1)^12*exp(2)^3+320*exp(1)^10*exp(2)^4-240*exp(1)^8*exp(2)^5+208*exp(1)^6*exp(2)^6-184*exp(1)^4*exp(2)^7+85*exp(2)^9-128*exp(1)^16*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^4/exp(1)^9/exp(1)","F(-2)",0
117,1,19,0,0.163791," ","integrate(x*(-x^2+1)^(1/2)/(1+x),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} {\left(x - 2\right)} - \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"1/2*sqrt(-x^2 + 1)*(x - 2) - 1/2*arcsin(x)","A",0
118,1,125,0,0.194821," ","integrate((-a^2*x^2+1)^(3/2)/x^2/(-a*x+1),x, algorithm=""giac"")","\frac{a^{4} x}{2 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} {\left| a \right|}} - \frac{a^{2} \arcsin\left(a x\right) \mathrm{sgn}\left(a\right)}{{\left| a \right|}} - \frac{a^{2} \log\left(\frac{{\left| -2 \, \sqrt{-a^{2} x^{2} + 1} {\left| a \right|} - 2 \, a \right|}}{2 \, a^{2} {\left| x \right|}}\right)}{{\left| a \right|}} + \sqrt{-a^{2} x^{2} + 1} a - \frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{2 \, x {\left| a \right|}}"," ",0,"1/2*a^4*x/((sqrt(-a^2*x^2 + 1)*abs(a) + a)*abs(a)) - a^2*arcsin(a*x)*sgn(a)/abs(a) - a^2*log(1/2*abs(-2*sqrt(-a^2*x^2 + 1)*abs(a) - 2*a)/(a^2*abs(x)))/abs(a) + sqrt(-a^2*x^2 + 1)*a - 1/2*(sqrt(-a^2*x^2 + 1)*abs(a) + a)/(x*abs(a))","B",0
119,-2,0,0,0.000000," ","integrate(x^4/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -3/2*d^3*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^5-2*d^3*exp(2)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^4/exp(1)+2*((-16*exp(1)^13*1/96/exp(1)^16*x+24*exp(1)^12*d*1/96/exp(1)^16)*x-80*exp(1)^11*d^2*1/96/exp(1)^16)*sqrt(-exp(2)*x^2+d^2)","F(-2)",0
120,-2,0,0,0.000000," ","integrate(x^3/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 3/2*d^2*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^4+2*d^2*exp(2)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^3/exp(1)+2*(-4*exp(1)^7*1/16/exp(1)^10*x+8*exp(1)^6*d*1/16/exp(1)^10)*sqrt(-exp(2)*x^2+d^2)","F(-2)",0
121,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -d*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)/exp(2)-2*d*exp(2)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)/exp(2)-4*exp(1)^2*1/4/exp(1)^5*sqrt(-exp(2)*x^2+d^2)","F(-2)",0
122,-2,0,0,0.000000," ","integrate(x/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^2+2*exp(2)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/exp(1)^2","F(-2)",0
123,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -2*exp(2)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/d/exp(1)","F(-2)",0
124,-2,0,0,0.000000," ","integrate(1/x/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -exp(2)*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^2/exp(1)^2+2*exp(1)*exp(2)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/d^2/sqrt(-exp(1)^4+exp(2)^2)/exp(1)","F(-2)",0
125,-2,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -x*exp(2)^3/d^3/(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/exp(1)/exp(2)-2*exp(2)^2*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/d^3/sqrt(-exp(1)^4+exp(2)^2)/exp(1)+1/4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^3/d^3/x/exp(1)/exp(2)^3+exp(2)*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^3/exp(1)","F(-2)",0
126,-2,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/8*(exp(2)^3+2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^3/x/exp(2))/d^4/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2/exp(1)^4+1/16*(-2*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^5-4*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^4/x/exp(2))/d^8/exp(1)^6/exp(2)^3+1/2*(-exp(2)^3-2*exp(1)^4*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^4/exp(1)^3/exp(1)+2*exp(1)^3*exp(2)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/d^4/sqrt(-exp(1)^4+exp(2)^2)/exp(1)","F(-2)",0
127,-2,0,0,0.000000," ","integrate(x^5/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
128,-2,0,0,0.000000," ","integrate(x^4/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
129,-2,0,0,0.000000," ","integrate(x^3/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
130,1,1,0,0.244905," ","integrate(x^2/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
131,0,0,0,0.000000," ","integrate(x/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
132,0,0,0,0.000000," ","integrate(1/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
133,-2,0,0,0.000000," ","integrate(1/x/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
134,1,1,0,0.251899," ","integrate(1/x^2/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
135,-2,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
136,-2,0,0,0.000000," ","integrate(x^7/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
137,-2,0,0,0.000000," ","integrate(x^6/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
138,-2,0,0,0.000000," ","integrate(x^5/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
139,-2,0,0,0.000000," ","integrate(x^4/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
140,-2,0,0,0.000000," ","integrate(x^3/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
141,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
142,-2,0,0,0.000000," ","integrate(x/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
143,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
144,-2,0,0,0.000000," ","integrate(1/x/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
145,-2,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
146,-2,0,0,0.000000," ","integrate(1/x^3/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
147,-2,0,0,0.000000," ","integrate(1/x^4/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
148,-2,0,0,0.000000," ","integrate(x^3/(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
149,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
150,-2,0,0,0.000000," ","integrate(x^3/(a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
151,1,70,0,0.198354," ","integrate(x^2/(a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\arcsin\left(a x\right) \mathrm{sgn}\left(a\right)}{a^{2} {\left| a \right|}} - \frac{\sqrt{-a^{2} x^{2} + 1}}{a^{3}} + \frac{2}{a^{2} {\left(\frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{a^{2} x} + 1\right)} {\left| a \right|}}"," ",0,"-arcsin(a*x)*sgn(a)/(a^2*abs(a)) - sqrt(-a^2*x^2 + 1)/a^3 + 2/(a^2*((sqrt(-a^2*x^2 + 1)*abs(a) + a)/(a^2*x) + 1)*abs(a))","A",0
152,1,52,0,0.215005," ","integrate(x/(a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\arcsin\left(a x\right) \mathrm{sgn}\left(a\right)}{a {\left| a \right|}} - \frac{2}{a {\left(\frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{a^{2} x} + 1\right)} {\left| a \right|}}"," ",0,"arcsin(a*x)*sgn(a)/(a*abs(a)) - 2/(a*((sqrt(-a^2*x^2 + 1)*abs(a) + a)/(a^2*x) + 1)*abs(a))","A",0
153,1,34,0,0.199827," ","integrate(1/(a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{2}{{\left(\frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{a^{2} x} + 1\right)} {\left| a \right|}}"," ",0,"2/(((sqrt(-a^2*x^2 + 1)*abs(a) + a)/(a^2*x) + 1)*abs(a))","A",0
154,1,74,0,0.208388," ","integrate(1/x/(-a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{a \log\left(\frac{{\left| -2 \, \sqrt{-a^{2} x^{2} + 1} {\left| a \right|} - 2 \, a \right|}}{2 \, a^{2} {\left| x \right|}}\right)}{{\left| a \right|}} + \frac{2 \, a}{{\left(\frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{a^{2} x} - 1\right)} {\left| a \right|}}"," ",0,"-a*log(1/2*abs(-2*sqrt(-a^2*x^2 + 1)*abs(a) - 2*a)/(a^2*abs(x)))/abs(a) + 2*a/(((sqrt(-a^2*x^2 + 1)*abs(a) + a)/(a^2*x) - 1)*abs(a))","A",0
155,-2,0,0,0.000000," ","integrate(1/x^2/(-a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
156,1,213,0,0.208285," ","integrate(1/x^3/(-a*x+1)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{{\left(a^{3} + \frac{3 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} a}{x} - \frac{20 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{2}}{a x^{2}}\right)} a^{4} x^{2}}{8 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{2} {\left(\frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{a^{2} x} - 1\right)} {\left| a \right|}} - \frac{3 \, a^{3} \log\left(\frac{{\left| -2 \, \sqrt{-a^{2} x^{2} + 1} {\left| a \right|} - 2 \, a \right|}}{2 \, a^{2} {\left| x \right|}}\right)}{2 \, {\left| a \right|}} - \frac{\frac{4 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} a {\left| a \right|}}{x} + \frac{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{2} {\left| a \right|}}{a x^{2}}}{8 \, a^{2}}"," ",0,"-1/8*(a^3 + 3*(sqrt(-a^2*x^2 + 1)*abs(a) + a)*a/x - 20*(sqrt(-a^2*x^2 + 1)*abs(a) + a)^2/(a*x^2))*a^4*x^2/((sqrt(-a^2*x^2 + 1)*abs(a) + a)^2*((sqrt(-a^2*x^2 + 1)*abs(a) + a)/(a^2*x) - 1)*abs(a)) - 3/2*a^3*log(1/2*abs(-2*sqrt(-a^2*x^2 + 1)*abs(a) - 2*a)/(a^2*abs(x)))/abs(a) - 1/8*(4*(sqrt(-a^2*x^2 + 1)*abs(a) + a)*a*abs(a)/x + (sqrt(-a^2*x^2 + 1)*abs(a) + a)^2*abs(a)/(a*x^2))/a^2","B",0
157,0,0,0,0.000000," ","integrate(x^5*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
158,0,0,0,0.000000," ","integrate(x^4*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
159,0,0,0,0.000000," ","integrate(x^3*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
160,0,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
161,0,0,0,0.000000," ","integrate(x*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
162,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
163,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
164,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^2/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
165,0,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^3/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
166,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^4/(e*x+d)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 0.71index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
167,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^5/(e*x+d)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 0.69Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
168,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^6/(e*x+d)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 0.69Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
169,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^7/(e*x+d)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 1.04Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
170,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^8/(e*x+d)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 1.08Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
171,0,0,0,0.000000," ","integrate(x^4/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
172,0,0,0,0.000000," ","integrate(x^3/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
173,0,0,0,0.000000," ","integrate(x^2/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
174,0,0,0,0.000000," ","integrate(x/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
175,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
176,0,0,0,0.000000," ","integrate(1/x/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*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=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*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=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
179,-2,0,0,0.000000," ","integrate(x^5/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (3*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^3-18*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)-8*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^2+5*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^5-9*d^2*exp(1)^4*exp(2)^3+6*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^5+6*d^2*exp(2)^5-19/2*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^5/x/exp(2)+14*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^2/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^2/(-exp(1)^12+2*exp(1)^8*exp(2)^2-exp(1)^4*exp(2)^4)+1/2*(-58*d^2*exp(1)^4*exp(2)^3+24*d^2*exp(2)^5+40*d^2*exp(1)^8*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(exp(1)^14-2*exp(1)^10*exp(2)^2+exp(1)^6*exp(2)^4)+13/2*d^2*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^6+2*(-2*exp(1)^11*1/8/exp(1)^16*x+12*exp(1)^10*d*1/8/exp(1)^16)*sqrt(-exp(2)*x^2+d^2)","F(-2)",0
180,-2,0,0,0.000000," ","integrate(x^4/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^3+14*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)+6*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^2-3*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^5+7*d*exp(1)^4*exp(2)^3-4*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^5-4*d*exp(2)^5+13/2*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^5/x/exp(2)-11*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^2/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^2/(-exp(1)^11+2*exp(1)^7*exp(2)^2-exp(1)*exp(2)^5)+1/2*(30*d*exp(1)^4*exp(2)^3-12*d*exp(2)^5-24*d*exp(1)^8*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(exp(1)^13-2*exp(1)^9*exp(2)^2+exp(1)^5*exp(2)^4)-3*d*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^5-4*exp(1)^4*1/4/exp(1)^9*sqrt(-exp(2)*x^2+d^2)","F(-2)",0
181,-2,0,0,0.000000," ","integrate(x^3/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^3-10*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)-4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^2+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^5-5*exp(1)^4*exp(2)^3+2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^5+2*exp(2)^5-7/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^5/x/exp(2)+8*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^2/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^2/(-exp(1)^10+2*exp(1)^6*exp(2)^2-exp(1)^2*exp(2)^4)+1/2*(-10*exp(1)^4*exp(2)^3+4*exp(2)^5+12*exp(1)^8*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(exp(1)^12-2*exp(1)^8*exp(2)^2+exp(1)^4*exp(2)^4)+sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^4","F(-2)",0
182,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^3+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)+2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^2+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^5+3*exp(1)^4*exp(2)^3+1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^5/x/exp(2)-5*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^2/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^2/(-d*exp(1)^9+2*d*exp(1)^5*exp(2)^2-d*exp(1)*exp(2)^4)+1/2*(-2*exp(2)^4-4*exp(1)^6*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(d*exp(1)^9-2*d*exp(1)^5*exp(2)^2+d*exp(1)*exp(2)^4)","F(-2)",0
183,-2,0,0,0.000000," ","integrate(x/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (2*exp(1)*exp(2)^5+5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^5*exp(2)^3+2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^9*exp(2)+2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)*exp(2)^5+3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^3*exp(2)^4+exp(1)^5*exp(2)^3-5/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^3*exp(2)^4/x/exp(2)-2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^7*exp(2)^2/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^2/(d^2*exp(1)^9-2*d^2*exp(1)^5*exp(2)^2+d^2*exp(1)*exp(2)^4)+3*exp(1)^3*exp(2)^3*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(d^2*exp(1)^9-2*d^2*exp(1)^5*exp(2)^2+d^2*exp(1)*exp(2)^4)","F(-2)",0
184,-2,0,0,0.000000," ","integrate(1/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^3-2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)-2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^2+5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^4-exp(1)^6*exp(2)^3+4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^6+4*exp(2)^6-11/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^4/x/exp(2)+(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^2/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^2/(-d^3*exp(1)^9+2*d^3*exp(1)^5*exp(2)^2-d^3*exp(1)*exp(2)^4)+1/2*(-2*exp(1)^4*exp(2)^3-4*exp(2)^5)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(d^3*exp(1)^9-2*d^3*exp(1)^5*exp(2)^2+d^3*exp(1)*exp(2)^4)","F(-2)",0
185,-2,0,0,0.000000," ","integrate(1/x/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-9*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^7*exp(2)^3+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^11*exp(2)+4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^9*exp(2)^2-7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^5*exp(2)^4+3*exp(1)^7*exp(2)^3-6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^3*exp(2)^5-6*exp(1)^3*exp(2)^5+17/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^5*exp(2)^4/x/exp(2)-4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^9*exp(2)^2/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^2/(-d^4*exp(1)^9+2*d^4*exp(1)^5*exp(2)^2-d^4*exp(1)*exp(2)^4)+1/2*(-10*exp(1)^5*exp(2)^3+4*exp(1)^9*exp(2)+12*exp(1)*exp(2)^5)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(d^4*exp(1)^9-2*d^4*exp(1)^5*exp(2)^2+d^4*exp(1)*exp(2)^4)-exp(2)*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^4/exp(1)^2","F(-2)",0
186,1,1,0,0.302080," ","integrate(1/x^2/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
187,1,1,0,0.292542," ","integrate(1/x^3/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
188,-2,0,0,0.000000," ","integrate(x^5*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-162*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2-36*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^10*exp(2)^3+240*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2+228*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3+54*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4-402*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2+158*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3+339*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4+87*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5+492*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3+192*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4-96*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5-36*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6+840*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4+420*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5-102*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6-48*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8-228*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5-252*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6-47*d^3*exp(1)^8*exp(2)^4-102*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8-288*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6+60*d^3*exp(1)^6*exp(2)^5-360*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8+110*d^3*exp(1)^4*exp(2)^6-204*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8-102*d^3*exp(2)^8-188*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)+156*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)+108*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)-573/2*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)-153*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)+123*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^16-6*exp(1)^12*exp(2)^2-6*exp(1)^10*exp(2)^3+3*exp(1)^8*exp(2)^4+3*exp(1)^6*exp(2)^5+3*exp(1)^14*exp(2))+1/2*(-100*d^3*exp(1)^10*exp(2)^2-170*d^3*exp(1)^8*exp(2)^3+152*d^3*exp(1)^6*exp(2)^4+208*d^3*exp(1)^4*exp(2)^5-144*d^3*exp(2)^7+40*d^3*exp(1)^12*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-exp(1)^18+2*exp(1)^14*exp(2)^2+2*exp(1)^12*exp(2)^3-exp(1)^10*exp(2)^4-exp(1)^8*exp(2)^5-exp(1)^16*exp(2))+18*d^3*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^6+2*((2*exp(1)^16*1/12/exp(1)^20*x-12*exp(1)^15*d*1/12/exp(1)^20)*x+58*exp(1)^14*d^2*1/12/exp(1)^20)*sqrt(d^2-x^2*exp(2))","F(-2)",0
189,-2,0,0,0.000000," ","integrate(x^4*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (84*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2+18*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^10*exp(2)^3-192*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2-180*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3-42*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4+228*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2-104*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3-192*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4-48*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5-396*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3-168*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4+60*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5+24*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6-510*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4-246*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5+57*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6+27*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8+156*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5+180*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6+26*d^2*exp(1)^8*exp(2)^4+66*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8+180*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6-48*d^2*exp(1)^6*exp(2)^5+216*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8-65*d^2*exp(1)^4*exp(2)^6+132*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8+66*d^2*exp(2)^8+104*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)-189/2*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)-78*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)+171*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)+123*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)-69*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^15-6*exp(1)^11*exp(2)^2-6*exp(1)^9*exp(2)^3+3*exp(1)^7*exp(2)^4+3*exp(1)^5*exp(2)^5+3*exp(1)^13*exp(2))+1/2*(64*d^2*exp(1)^10*exp(2)^2+80*d^2*exp(1)^8*exp(2)^3-88*d^2*exp(1)^6*exp(2)^4-102*d^2*exp(1)^4*exp(2)^5+76*d^2*exp(2)^7-16*d^2*exp(1)^12*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-exp(1)^17+2*exp(1)^13*exp(2)^2+2*exp(1)^11*exp(2)^3-exp(1)^9*exp(2)^4-exp(1)^7*exp(2)^5-exp(1)^15*exp(2))-19/2*d^2*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^5+2*(2*exp(1)^9*1/8/exp(1)^13*x-16*exp(1)^8*d*1/8/exp(1)^13)*sqrt(d^2-x^2*exp(2))","F(-2)",0
190,-2,0,0,0.000000," ","integrate(x^3*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-30*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2-6*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^10*exp(2)^3+144*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2+132*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3+30*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4-102*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2+62*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3+87*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4+21*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5+300*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3+144*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4-24*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5-12*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6+264*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4+120*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5-24*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6-12*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8-84*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5-108*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6-11*d*exp(1)^8*exp(2)^4-36*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8-96*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6+36*d*exp(1)^6*exp(2)^5-108*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8+32*d*exp(1)^4*exp(2)^6-72*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8-36*d*exp(2)^8-44*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)+48*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)+48*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)-171/2*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)-93*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)+30*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^14-6*exp(1)^10*exp(2)^2-6*exp(1)^8*exp(2)^3+3*exp(1)^6*exp(2)^4+3*exp(1)^4*exp(2)^5+3*exp(1)^12*exp(2))+1/2*(-36*d*exp(1)^10*exp(2)^2-30*d*exp(1)^8*exp(2)^3+40*d*exp(1)^6*exp(2)^4+40*d*exp(1)^4*exp(2)^5-32*d*exp(2)^7+4*d*exp(1)^12*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-exp(1)^16+2*exp(1)^12*exp(2)^2+2*exp(1)^10*exp(2)^3-exp(1)^8*exp(2)^4-exp(1)^6*exp(2)^5-exp(1)^14*exp(2))+4*d*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^4+2*exp(1)^3*1/2/exp(1)^7*sqrt(d^2-x^2*exp(2))","F(-2)",0
191,-2,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-96*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2-84*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3-18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4+24*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2-32*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3+8*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)-24*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4-6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5-204*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3-120*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4-12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5-102*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4-42*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5+3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6+3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5+36*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6+2*exp(1)^8*exp(2)^4+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8+36*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6-24*exp(1)^6*exp(2)^5+36*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8-11*exp(1)^4*exp(2)^6+24*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8+12*exp(2)^8-33/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)-18*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)+30*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)+63*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)-6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^13-6*exp(1)^9*exp(2)^2-6*exp(1)^7*exp(2)^3+3*exp(1)^5*exp(2)^4+3*exp(1)^11*exp(2)+3*exp(1)*exp(2)^6)+1/2*(16*exp(1)^10*exp(2)^2+8*exp(1)^8*exp(2)^3-8*exp(1)^6*exp(2)^4-10*exp(1)^4*exp(2)^5+8*exp(2)^7)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-exp(1)^15+2*exp(1)^11*exp(2)^2+2*exp(1)^9*exp(2)^3-exp(1)^7*exp(2)^4-exp(1)^5*exp(2)^5-exp(1)^13*exp(2))-sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)/exp(2)","F(-2)",0
192,-2,0,0,0.000000," ","integrate(x*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (6*exp(1)*exp(2)^7+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)*exp(2)^7+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^11*exp(2)^2+48*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^11*exp(2)^2+36*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^9*exp(2)^3+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^7*exp(2)^4+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^11*exp(2)^2+14*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^9*exp(2)^3+4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^13*exp(2)+3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^7*exp(2)^4+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)*exp(2)^7+3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^5*exp(2)^5+108*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^9*exp(2)^3+96*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^7*exp(2)^4+48*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^5*exp(2)^5+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^3*exp(2)^6+24*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^7*exp(2)^4+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^5*exp(2)^5+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^3*exp(2)^6+60*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^5*exp(2)^5+36*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^3*exp(2)^6+exp(1)^7*exp(2)^4+12*exp(1)^5*exp(2)^5+2*exp(1)^3*exp(2)^6-12*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^3*exp(2)^6/x/exp(2)-9/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^5*exp(2)^5/x/exp(2)-33*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^7*exp(2)^4/x/exp(2)-3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^9*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*d*exp(1)^11-6*d*exp(1)^7*exp(2)^2-6*d*exp(1)^5*exp(2)^3+3*d*exp(1)^9*exp(2)+6*d*exp(1)*exp(2)^5)+1/2*(4*exp(1)^7*exp(2)^2+2*exp(1)^5*exp(2)^3+8*exp(1)^3*exp(2)^4)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(d*exp(1)^11-2*d*exp(1)^7*exp(2)^2-2*d*exp(1)^5*exp(2)^3+d*exp(1)^9*exp(2)+2*d*exp(1)*exp(2)^5)","F(-2)",0
193,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^10*exp(2)^3+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2-8*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3-24*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4-12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5-12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3-72*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4-84*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5-24*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6-30*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4-30*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5-3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6+3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8-132*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5-108*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6+2*exp(1)^8*exp(2)^4-18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8-12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6-5*exp(1)^4*exp(2)^6-36*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8-18*exp(2)^8+8*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)+3/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)+42*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)+9*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)+3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)-3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*d^2*exp(1)^11-6*d^2*exp(1)^7*exp(2)^2-6*d^2*exp(1)^5*exp(2)^3+3*d^2*exp(1)^9*exp(2)+6*d^2*exp(1)*exp(2)^5)+1/2*(8*exp(1)^4*exp(2)^4+6*exp(2)^6)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-d^2*exp(1)^11+2*d^2*exp(1)^7*exp(2)^2+2*d^2*exp(1)^5*exp(2)^3-d^2*exp(1)^9*exp(2)-2*d^2*exp(1)*exp(2)^5)","F(-2)",0
194,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(1/2)/x/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (6*exp(1)*exp(2)^8+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)*exp(2)^8+54*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^13*exp(2)^2+18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^11*exp(2)^3+48*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^13*exp(2)^2+44*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^15*exp(2)+60*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^11*exp(2)^3+6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)*exp(2)^8+18*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^9*exp(2)^4+78*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^13*exp(2)^2-14*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^11*exp(2)^3-87*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^9*exp(2)^4-33*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^7*exp(2)^5+84*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^11*exp(2)^3-48*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^9*exp(2)^4-120*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^7*exp(2)^5-36*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^5*exp(2)^6-120*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^9*exp(2)^4-96*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^7*exp(2)^5+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^5*exp(2)^6+12*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^3*exp(2)^7-204*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^7*exp(2)^5-180*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^5*exp(2)^6-30*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^3*exp(2)^7+11*exp(1)^9*exp(2)^4+36*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^3*exp(2)^7+12*exp(1)^7*exp(2)^5-60*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^3*exp(2)^7-20*exp(1)^5*exp(2)^6-30*exp(1)^3*exp(2)^7-12*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^3*exp(2)^7/x/exp(2)+72*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^5*exp(2)^6/x/exp(2)+87/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^7*exp(2)^5/x/exp(2)-27*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^9*exp(2)^4/x/exp(2)-24*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^11*exp(2)^3/x/exp(2))/(-(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)+(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x-exp(2))^3/(3*d^3*exp(1)^11-6*d^3*exp(1)^7*exp(2)^2-6*d^3*exp(1)^5*exp(2)^3+3*d^3*exp(1)^9*exp(2)+6*d^3*exp(1)*exp(2)^5)+1/2*(-4*exp(1)^9*exp(2)^2+10*exp(1)^7*exp(2)^3+8*exp(1)^5*exp(2)^4-8*exp(1)^3*exp(2)^5-4*exp(1)^11*exp(2)-16*exp(1)*exp(2)^6)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-d^3*exp(1)^11+2*d^3*exp(1)^7*exp(2)^2+2*d^3*exp(1)^5*exp(2)^3-d^3*exp(1)^9*exp(2)-2*d^3*exp(1)*exp(2)^5)-exp(2)*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^3/exp(1)^2","F(-2)",0
195,1,1,0,0.283373," ","integrate((-e^2*x^2+d^2)^(1/2)/x^2/(e*x+d)^4,x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
196,1,1,0,0.303287," ","integrate((-e^2*x^2+d^2)^(1/2)/x^3/(e*x+d)^4,x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
197,1,1,0,0.368201," ","integrate((-e^2*x^2+d^2)^(1/2)/x^4/(e*x+d)^4,x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
198,-2,0,0,0.000000," ","integrate(x^5*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-162*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2-36*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^10*exp(2)^3+720*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2+684*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3+162*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4-402*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2+350*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3+507*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4+123*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5+1476*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3-864*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5-252*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6+1248*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4+84*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5-654*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6-192*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8-1836*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5-1620*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6-47*d^7*exp(1)^8*exp(2)^4-486*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8-1464*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6+180*d^7*exp(1)^6*exp(2)^5-1296*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8+158*d^7*exp(1)^4*exp(2)^6-972*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8-486*d^7*exp(2)^8-188*d^7*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)+552*d^7*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)+684*d^7*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)-825/2*d^7*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)-459*d^7*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)+123*d^7*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^16+9*exp(1)^12*exp(2)^2+3*exp(1)^10*exp(2)^3+9*exp(1)^14*exp(2))+1/2*(-300*d^7*exp(1)^10*exp(2)^2-82*d^7*exp(1)^8*exp(2)^3+1000*d^7*exp(1)^6*exp(2)^4+464*d^7*exp(1)^4*exp(2)^5-1248*d^7*exp(2)^7+40*d^7*exp(1)^12*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-exp(1)^18-3*exp(1)^14*exp(2)^2-exp(1)^12*exp(2)^3-3*exp(1)^16*exp(2))+65/4*d^7*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^6+2*((((((720*exp(1)^26*1/10080/exp(1)^26*x-3360*exp(1)^25*d*1/10080/exp(1)^26)*x+7920*exp(1)^24*d^2*1/10080/exp(1)^26)*x-14280*exp(1)^23*d^3*1/10080/exp(1)^26)*x+24000*exp(1)^22*d^4*1/10080/exp(1)^26)*x-41580*exp(1)^21*d^5*1/10080/exp(1)^26)*x+88320*exp(1)^20*d^6*1/10080/exp(1)^26)*sqrt(d^2-x^2*exp(2))","F(-2)",0
199,-2,0,0,0.000000," ","integrate(x^4*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (84*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2+18*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^10*exp(2)^3-576*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2-540*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3-126*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4+228*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2-200*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3-264*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4-60*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5-1188*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3+72*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4+756*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5+216*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6-726*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4+138*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5+537*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6+147*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8+1620*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5+1404*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6+26*d^6*exp(1)^8*exp(2)^4+402*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8+1212*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6-144*d^6*exp(1)^6*exp(2)^5+1008*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8-89*d^6*exp(1)^4*exp(2)^6+804*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8+402*d^6*exp(2)^8+104*d^6*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)-861/2*d^6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)-594*d^6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)+237*d^6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)+369*d^6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)-69*d^6*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^15+9*exp(1)^11*exp(2)^2+3*exp(1)^9*exp(2)^3+9*exp(1)^13*exp(2))+1/2*(-192*d^6*exp(1)^10*exp(2)^2+32*d^6*exp(1)^8*exp(2)^3+712*d^6*exp(1)^6*exp(2)^4+230*d^6*exp(1)^4*exp(2)^5-924*d^6*exp(2)^7+16*d^6*exp(1)^12*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(exp(1)^17+3*exp(1)^13*exp(2)^2+exp(1)^11*exp(2)^3+3*exp(1)^15*exp(2))-239/16*d^6*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^5+2*(((((240*exp(1)^19*1/2880/exp(1)^19*x-1152*exp(1)^18*d*1/2880/exp(1)^19)*x+2820*exp(1)^17*d^2*1/2880/exp(1)^19)*x-5376*exp(1)^16*d^3*1/2880/exp(1)^19)*x+9990*exp(1)^15*d^4*1/2880/exp(1)^19)*x-22272*exp(1)^14*d^5*1/2880/exp(1)^19)*sqrt(d^2-x^2*exp(2))","F(-2)",0
200,-2,0,0,0.000000," ","integrate(x^3*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-30*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2-6*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^10*exp(2)^3+432*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2+396*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3+90*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4-102*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2+62*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3+63*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4+9*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5+900*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3-144*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4-648*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5-180*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6+288*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4-312*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5-432*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6-108*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8-1404*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5-1188*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6-11*d^5*exp(1)^8*exp(2)^4-324*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8-984*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6+108*d^5*exp(1)^6*exp(2)^5-756*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8+32*d^5*exp(1)^4*exp(2)^6-648*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8-324*d^5*exp(2)^8-44*d^5*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)+324*d^5*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)+504*d^5*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)-183/2*d^5*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)-279*d^5*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)+30*d^5*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^14+9*exp(1)^10*exp(2)^2+3*exp(1)^8*exp(2)^3+9*exp(1)^12*exp(2))+1/2*(-108*d^5*exp(1)^10*exp(2)^2+90*d^5*exp(1)^8*exp(2)^3+472*d^5*exp(1)^6*exp(2)^4+72*d^5*exp(1)^4*exp(2)^5-656*d^5*exp(2)^7+4*d^5*exp(1)^12*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-exp(1)^16-3*exp(1)^12*exp(2)^2-exp(1)^10*exp(2)^3-3*exp(1)^14*exp(2))+27/2*d^5*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^4+2*((((24*exp(1)^13*1/240/exp(1)^13*x-120*exp(1)^12*d*1/240/exp(1)^13)*x+312*exp(1)^11*d^2*1/240/exp(1)^13)*x-660*exp(1)^10*d^3*1/240/exp(1)^13)*x+1584*exp(1)^9*d^4*1/240/exp(1)^13)*sqrt(d^2-x^2*exp(2))","F(-2)",0
201,-2,0,0,0.000000," ","integrate(x^2*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-288*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2-252*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3-54*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4+24*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2+64*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3+8*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)+96*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4+30*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5-612*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3+216*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4+540*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5+144*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6+66*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4+438*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5+339*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6+75*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8+1188*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5+972*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6+2*d^4*exp(1)^8*exp(2)^4+252*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8+780*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6-72*d^4*exp(1)^6*exp(2)^5+540*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8+13*d^4*exp(1)^4*exp(2)^6+504*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8+252*d^4*exp(2)^8-465/2*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)-414*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)-24*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)+189*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)-6*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^13+9*exp(1)^9*exp(2)^2+3*exp(1)^7*exp(2)^3+9*exp(1)^11*exp(2))+1/2*(48*d^4*exp(1)^10*exp(2)^2-104*d^4*exp(1)^8*exp(2)^3-280*d^4*exp(1)^6*exp(2)^4+22*d^4*exp(1)^4*exp(2)^5+440*d^4*exp(2)^7)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-exp(1)^15-3*exp(1)^11*exp(2)^2-exp(1)^9*exp(2)^3-3*exp(1)^13*exp(2))-95/8*d^4*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)/exp(2)+2*(((12*exp(1)^8*1/96/exp(1)^8*x-64*exp(1)^7*d*1/96/exp(1)^8)*x+186*exp(1)^6*d^2*1/96/exp(1)^8)*x-512*exp(1)^5*d^3*1/96/exp(1)^8)*sqrt(d^2-x^2*exp(2))","F(-2)",0
202,-2,0,0,0.000000," ","integrate(x*(-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (6*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2+144*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2+108*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3+18*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4+6*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2-178*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3-213*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4-57*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5+324*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3-288*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4-432*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5-108*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6-336*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4-516*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5-258*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6-48*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8-972*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5-756*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6+d^3*exp(1)^8*exp(2)^4-186*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8-600*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6+36*d^3*exp(1)^6*exp(2)^5-360*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8-46*d^3*exp(1)^4*exp(2)^6-372*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8-186*d^3*exp(2)^8+4*d^3*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)+156*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)+324*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)+219/2*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)-99*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)-3*d^3*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^12+9*exp(1)^8*exp(2)^2+3*exp(1)^6*exp(2)^3+9*exp(1)^10*exp(2))+1/2*(12*d^3*exp(1)^10*exp(2)^2-86*d^3*exp(1)^8*exp(2)^3-136*d^3*exp(1)^6*exp(2)^4+64*d^3*exp(1)^4*exp(2)^5+272*d^3*exp(2)^7)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(exp(1)^14+3*exp(1)^10*exp(2)^2+exp(1)^8*exp(2)^3+3*exp(1)^12*exp(2))+10*d^3*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)^2+2*((2*exp(1)^4*1/12/exp(1)^4*x-12*exp(1)^3*d*1/12/exp(1)^4)*x+46*exp(1)^2*d^2*1/12/exp(1)^4)*sqrt(d^2-x^2*exp(2))","F(-2)",0
203,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (12*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2+6*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^10*exp(2)^3+36*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3+18*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4+12*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2+280*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3+288*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4+72*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5-36*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3+360*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4+324*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5+72*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6+522*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4+546*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5+189*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6+27*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8+756*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5+540*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6+2*d^2*exp(1)^8*exp(2)^4+126*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8+444*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6+216*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8+67*d^2*exp(1)^4*exp(2)^6+252*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8+126*d^2*exp(2)^8+8*d^2*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)-189/2*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)-234*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)-165*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)+9*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)-3*d^2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^11+9*exp(1)^7*exp(2)^2+3*exp(1)^5*exp(2)^3+9*exp(1)^9*exp(2))+1/2*(48*d^2*exp(1)^8*exp(2)^3+40*d^2*exp(1)^6*exp(2)^4-66*d^2*exp(1)^4*exp(2)^5-148*d^2*exp(2)^7)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(exp(1)^13+3*exp(1)^9*exp(2)^2+exp(1)^7*exp(2)^3+3*exp(1)^11*exp(2))-15/2*d^2*sign(d)*asin(x*exp(2)/d/exp(1))/exp(1)+2*(2*exp(1)*1/8/exp(1)*x-16*d*1/8/exp(1))*sqrt(d^2-x^2*exp(2))","F(-2)",0
204,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-54*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^12*exp(2)^2-18*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^10*exp(2)^3-144*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^12*exp(2)^2-180*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^10*exp(2)^3-54*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^8*exp(2)^4-78*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^12*exp(2)^2-370*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^10*exp(2)^3-321*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^8*exp(2)^4-75*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^6*exp(2)^5-252*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^3-432*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^4-216*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^6*exp(2)^5-36*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^4*exp(2)^6-624*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^8*exp(2)^4-528*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^6*exp(2)^5-132*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^4*exp(2)^6-12*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(2)^8-540*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^6*exp(2)^5-324*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^4*exp(2)^6-11*d*exp(1)^8*exp(2)^4-72*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(2)^8-312*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^6-36*d*exp(1)^6*exp(2)^5-108*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(2)^8-76*d*exp(1)^4*exp(2)^6-144*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)^8-72*d*exp(2)^8-44*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^14*exp(2)+48*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^8/x/exp(2)+144*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^4*exp(2)^6/x/exp(2)+381/2*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^5/x/exp(2)+81*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^4/x/exp(2)+24*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^3/x/exp(2))/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(3*exp(1)^10+9*exp(1)^6*exp(2)^2+3*exp(1)^4*exp(2)^3+9*exp(1)^8*exp(2))+4*d*sign(d)*asin(x*exp(2)/d/exp(1))+1/2*(-12*d*exp(1)^10*exp(2)^2+2*d*exp(1)^8*exp(2)^3-8*d*exp(1)^6*exp(2)^4-40*d*exp(1)^4*exp(2)^5-64*d*exp(2)^7-4*d*exp(1)^12*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-exp(1)^12-3*exp(1)^8*exp(2)^2-exp(1)^6*exp(2)^3-3*exp(1)^10*exp(2))-d*exp(2)*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/exp(1)^2+sqrt(d^2-x^2*exp(2))","F(-2)",0
205,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^2/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(2)^3/exp(1)^4/x/exp(1)/exp(2)+1/2*(-48*exp(1)^10*exp(2)^2-40*exp(1)^8*exp(2)^3-8*exp(1)^6*exp(2)^4+2*exp(1)^4*exp(2)^5-16*exp(2)^7-16*exp(1)^12*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(exp(1)^11+3*exp(1)^7*exp(2)^2+exp(1)^5*exp(2)^3+3*exp(1)^9*exp(2))+4*exp(2)*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/exp(1)-1/3*x*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(408*exp(1)^12*exp(2)^2+1152*exp(1)^10*exp(2)^3+1392*exp(1)^8*exp(2)^4+780*exp(1)^6*exp(2)^5+516*exp(1)^4*exp(2)^6+132*exp(2)^8)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*(576*exp(1)^12*exp(2)^2+932*exp(1)^10*exp(2)^3+1116*exp(1)^8*exp(2)^4+1041*exp(1)^6*exp(2)^5+279*exp(1)^4*exp(2)^6+108*exp(2)^8+208*exp(1)^14*exp(2))+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*(240*exp(1)^12*exp(2)^2+648*exp(1)^10*exp(2)^3+642*exp(1)^8*exp(2)^4+270*exp(1)^6*exp(2)^5+228*exp(1)^4*exp(2)^6+66*exp(2)^8)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*(72*exp(1)^10*exp(2)^3+180*exp(1)^8*exp(2)^4+135*exp(1)^6*exp(2)^5+9*exp(1)^4*exp(2)^6+18*exp(2)^8)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(276*exp(1)^10*exp(2)^3+792*exp(1)^8*exp(2)^4+861*exp(1)^6*exp(2)^5+279*exp(1)^4*exp(2)^6+102*exp(2)^8)+3*exp(1)^6*exp(2)^5+9*exp(1)^4*exp(2)^6+12*exp(2)^8-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*(70*exp(1)^8*exp(2)^4+198*exp(1)^6*exp(2)^5+200*exp(1)^4*exp(2)^6+66*exp(2)^8)/x/exp(2))*exp(2)/(2*exp(2))^3/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/exp(1)/exp(2)-sign(d)*asin(x*exp(2)/d/exp(1))*exp(2)/exp(1)","F(-2)",0
206,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^3/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/16*(-2*d*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^4*exp(2)^11-16*d*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^6*exp(2)^10/x/exp(2))/d^2/exp(1)^6/exp(2)^9+1/24*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*(-3216*exp(1)^14*exp(2)^2-7776*exp(1)^12*exp(2)^3-6300*exp(1)^10*exp(2)^4-2868*exp(1)^8*exp(2)^5-2571*exp(1)^6*exp(2)^6-225*exp(1)^4*exp(2)^7+36*exp(2)^9)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*(-3456*exp(1)^14*exp(2)^2-4688*exp(1)^12*exp(2)^3-6336*exp(1)^10*exp(2)^4-4638*exp(1)^8*exp(2)^5-90*exp(1)^6*exp(2)^6-378*exp(1)^4*exp(2)^7-126*exp(2)^9-1504*exp(1)^16*exp(2))+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*(-1680*exp(1)^14*exp(2)^2-3744*exp(1)^12*exp(2)^3-2376*exp(1)^10*exp(2)^4-864*exp(1)^8*exp(2)^5-1293*exp(1)^6*exp(2)^6-135*exp(1)^4*exp(2)^7+12*exp(2)^9)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^7*(-480*exp(1)^12*exp(2)^3-1008*exp(1)^10*exp(2)^4-408*exp(1)^8*exp(2)^5+144*exp(1)^6*exp(2)^6-144*exp(1)^4*exp(2)^7-48*exp(2)^9)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(-2328*exp(1)^12*exp(2)^3-5832*exp(1)^10*exp(2)^4-4188*exp(1)^8*exp(2)^5-300*exp(1)^6*exp(2)^6-324*exp(1)^4*exp(2)^7-108*exp(2)^9)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(-628*exp(1)^10*exp(2)^4-1620*exp(1)^8*exp(2)^5-1211*exp(1)^6*exp(2)^6-81*exp(1)^4*exp(2)^7+36*exp(2)^9)+3*exp(1)^6*exp(2)^6+9*exp(1)^4*exp(2)^7+12*exp(2)^9-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*(-30*exp(1)^8*exp(2)^5-90*exp(1)^6*exp(2)^6-90*exp(1)^4*exp(2)^7-30*exp(2)^9)/x/exp(2))/(2*exp(2))^3/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/exp(1)^3/d/exp(1)+1/2*(5*exp(2)^3-20*exp(1)^4*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/exp(1)^3/d/exp(1)+1/2*(-108*exp(1)^7*exp(2)^2-66*exp(1)^5*exp(2)^3+40*exp(1)^3*exp(2)^4-40*exp(1)^9*exp(2)+48*exp(1)*exp(2)^5)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-d*exp(1)^7-3*d*exp(1)^5*exp(2)-4*d*exp(1)*exp(2)^3)","F(-2)",0
207,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^4/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/512*(256*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^10*exp(2)^16-64/3*d^4*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^8*exp(2)^17+96*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^8*exp(2)^17/x/exp(2)-384*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^10*exp(2)^16/x/exp(2)+1280*d^4*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^12*exp(2)^15/x/exp(2))/d^6/exp(1)^15/exp(2)^12+1/72*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*(16416*exp(1)^16*exp(2)^2+34560*exp(1)^14*exp(2)^3+20376*exp(1)^12*exp(2)^4+8712*exp(1)^10*exp(2)^5+9234*exp(1)^8*exp(2)^6-1674*exp(1)^6*exp(2)^7-594*exp(1)^4*exp(2)^8+234*exp(2)^10)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*(13824*exp(1)^16*exp(2)^2+17952*exp(1)^14*exp(2)^3+27216*exp(1)^12*exp(2)^4+14724*exp(1)^10*exp(2)^5-4104*exp(1)^8*exp(2)^6+1380*exp(1)^6*exp(2)^7+468*exp(1)^4*exp(2)^8+12*exp(2)^10+7104*exp(1)^18*exp(2))+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^7*(7776*exp(1)^16*exp(2)^2+14688*exp(1)^14*exp(2)^3+6192*exp(1)^12*exp(2)^4+3240*exp(1)^10*exp(2)^5+5454*exp(1)^8*exp(2)^6-702*exp(1)^6*exp(2)^7-270*exp(1)^4*exp(2)^8+126*exp(2)^10)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^8*(2160*exp(1)^14*exp(2)^3+3888*exp(1)^12*exp(2)^4+648*exp(1)^10*exp(2)^5-756*exp(1)^8*exp(2)^6+855*exp(1)^6*exp(2)^7+117*exp(1)^4*exp(2)^8)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*(12528*exp(1)^14*exp(2)^3+27648*exp(1)^12*exp(2)^4+13392*exp(1)^10*exp(2)^5-3204*exp(1)^8*exp(2)^6+774*exp(1)^6*exp(2)^7+306*exp(1)^4*exp(2)^8+36*exp(2)^10)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(3528*exp(1)^12*exp(2)^4+8064*exp(1)^10*exp(2)^5+4146*exp(1)^8*exp(2)^6-1218*exp(1)^6*exp(2)^7-378*exp(1)^4*exp(2)^8+90*exp(2)^10)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(180*exp(1)^10*exp(2)^5+432*exp(1)^8*exp(2)^6+252*exp(1)^6*exp(2)^7-36*exp(1)^4*exp(2)^8+36*exp(2)^10)+3*exp(1)^6*exp(2)^7+9*exp(1)^4*exp(2)^8+12*exp(2)^10-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*(-18*exp(1)^8*exp(2)^6-54*exp(1)^6*exp(2)^7-54*exp(1)^4*exp(2)^8-18*exp(2)^10)/x/exp(2))/d^2/(2*exp(2))^3/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/exp(1)^5-(10*exp(2)^3-20*exp(1)^4*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^2/exp(1)/exp(2)+1/2*(-192*exp(1)^8*exp(2)^2-64*exp(1)^6*exp(2)^3+136*exp(1)^4*exp(2)^4+74*exp(2)^6-80*exp(1)^10*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(d^2*exp(1)^7+3*d^2*exp(1)^5*exp(2)+4*d^2*exp(1)*exp(2)^3)","F(-2)",0
208,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^5/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/65536*(-81920*d^9*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^22*exp(2)^19+32768/3*d^9*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^20*exp(2)^20-1024*d^9*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^18*exp(2)^21+24576*d^9*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^20*exp(2)^20-8192*d^9*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^18*exp(2)^21-49152*d^9*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^20*exp(2)^20/x/exp(2)+196608*d^9*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^22*exp(2)^19/x/exp(2)-327680*d^9*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^24*exp(2)^18/x/exp(2))/d^12/exp(1)^24/exp(2)^16+1/192*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*(-67968*exp(1)^18*exp(2)^2-126720*exp(1)^16*exp(2)^3-53184*exp(1)^14*exp(2)^4-21408*exp(1)^12*exp(2)^5-23472*exp(1)^10*exp(2)^6+19800*exp(1)^8*exp(2)^7+3699*exp(1)^6*exp(2)^8-3063*exp(1)^4*exp(2)^9+84*exp(2)^11)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^7*(-46080*exp(1)^18*exp(2)^2-62080*exp(1)^16*exp(2)^3-101376*exp(1)^14*exp(2)^4-33888*exp(1)^12*exp(2)^5+32688*exp(1)^10*exp(2)^6-3488*exp(1)^8*exp(2)^7-960*exp(1)^6*exp(2)^8+768*exp(1)^4*exp(2)^9-752*exp(2)^11-27392*exp(1)^20*exp(2))+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^8*(-29568*exp(1)^18*exp(2)^2-48384*exp(1)^16*exp(2)^3-13632*exp(1)^14*exp(2)^4-13824*exp(1)^12*exp(2)^5-16848*exp(1)^10*exp(2)^6+10440*exp(1)^8*exp(2)^7+1872*exp(1)^6*exp(2)^8-1632*exp(1)^4*exp(2)^9+24*exp(2)^11)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^9*(-8064*exp(1)^16*exp(2)^3-12672*exp(1)^14*exp(2)^4+192*exp(1)^12*exp(2)^5+2304*exp(1)^10*exp(2)^6-3360*exp(1)^8*exp(2)^7+672*exp(1)^6*exp(2)^8+288*exp(1)^4*exp(2)^9-288*exp(2)^11)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*(-54144*exp(1)^16*exp(2)^3-106560*exp(1)^14*exp(2)^4-29184*exp(1)^12*exp(2)^5+29280*exp(1)^10*exp(2)^6-750*exp(1)^8*exp(2)^7-714*exp(1)^6*exp(2)^8+630*exp(1)^4*exp(2)^9-654*exp(2)^11)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*(-15744*exp(1)^14*exp(2)^4-32160*exp(1)^12*exp(2)^5-9100*exp(1)^10*exp(2)^6+11588*exp(1)^8*exp(2)^7+1893*exp(1)^6*exp(2)^8-1473*exp(1)^4*exp(2)^9+108*exp(2)^11)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(-840*exp(1)^12*exp(2)^5-1800*exp(1)^10*exp(2)^6-564*exp(1)^8*exp(2)^7+708*exp(1)^6*exp(2)^8+108*exp(1)^4*exp(2)^9-204*exp(2)^11)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(84*exp(1)^10*exp(2)^6+180*exp(1)^8*exp(2)^7+69*exp(1)^6*exp(2)^8-33*exp(1)^4*exp(2)^9+60*exp(2)^11)+3*exp(1)^6*exp(2)^8+9*exp(1)^4*exp(2)^9+12*exp(2)^11-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*(-14*exp(1)^8*exp(2)^7-42*exp(1)^6*exp(2)^8-42*exp(1)^4*exp(2)^9-14*exp(2)^11)/x/exp(2))/d^3/(2*exp(2))^3/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/exp(1)^6+1/8*(240*exp(1)^6*exp(2)^2-64*exp(1)^4*exp(2)^3+9*exp(2)^5-280*exp(1)^8*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^3/exp(1)^5/exp(1)+1/2*(-300*exp(1)^9*exp(2)^2-22*exp(1)^7*exp(2)^3+280*exp(1)^5*exp(2)^4+104*exp(1)^3*exp(2)^5-140*exp(1)^11*exp(2)-48*exp(1)*exp(2)^6)*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(-d^3*exp(1)^7-3*d^3*exp(1)^5*exp(2)-4*d^3*exp(1)*exp(2)^3)","F(-2)",0
209,-2,0,0,0.000000," ","integrate((-e^2*x^2+d^2)^(5/2)/x^6/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/480*((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^7*(247680*exp(1)^20*exp(2)^2+414720*exp(1)^18*exp(2)^3+115200*exp(1)^16*exp(2)^4+45600*exp(1)^14*exp(2)^5+43920*exp(1)^12*exp(2)^6-106200*exp(1)^10*exp(2)^7-10680*exp(1)^8*exp(2)^8+15720*exp(1)^6*exp(2)^9-1080*exp(1)^4*exp(2)^10+1200*exp(2)^12)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^8*(138240*exp(1)^20*exp(2)^2+203200*exp(1)^18*exp(2)^3+342720*exp(1)^16*exp(2)^4+46320*exp(1)^14*exp(2)^5-158400*exp(1)^12*exp(2)^6+12440*exp(1)^10*exp(2)^7-360*exp(1)^8*exp(2)^8-3965*exp(1)^6*exp(2)^9+4505*exp(1)^4*exp(2)^10+220*exp(2)^12+93440*exp(1)^22*exp(2))+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^9*(99840*exp(1)^20*exp(2)^2+144000*exp(1)^18*exp(2)^3+27360*exp(1)^16*exp(2)^4+56160*exp(1)^14*exp(2)^5+39840*exp(1)^12*exp(2)^6-60120*exp(1)^10*exp(2)^7-5460*exp(1)^8*exp(2)^8+8340*exp(1)^6*exp(2)^9-540*exp(1)^4*exp(2)^10+660*exp(2)^12)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^10*(26880*exp(1)^18*exp(2)^3+37440*exp(1)^16*exp(2)^4-6000*exp(1)^14*exp(2)^5-5040*exp(1)^12*exp(2)^6+10440*exp(1)^10*exp(2)^7-6180*exp(1)^8*exp(2)^8-1110*exp(1)^6*exp(2)^9+1350*exp(1)^4*exp(2)^10+60*exp(2)^12)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^6*(204480*exp(1)^18*exp(2)^3+362880*exp(1)^16*exp(2)^4+30960*exp(1)^14*exp(2)^5-144240*exp(1)^12*exp(2)^6+3600*exp(1)^10*exp(2)^7+840*exp(1)^8*exp(2)^8-3432*exp(1)^6*exp(2)^9+3384*exp(1)^4*exp(2)^10+312*exp(2)^12)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*(60960*exp(1)^16*exp(2)^4+112320*exp(1)^14*exp(2)^5+9120*exp(1)^12*exp(2)^6-56840*exp(1)^10*exp(2)^7-4512*exp(1)^8*exp(2)^8+6704*exp(1)^6*exp(2)^9-576*exp(1)^4*exp(2)^10+408*exp(2)^12)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*(3360*exp(1)^14*exp(2)^5+6480*exp(1)^12*exp(2)^6+936*exp(1)^10*exp(2)^7-3192*exp(1)^8*exp(2)^8-558*exp(1)^6*exp(2)^9+198*exp(1)^4*exp(2)^10+216*exp(2)^12)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*(-336*exp(1)^12*exp(2)^6-648*exp(1)^10*exp(2)^7-72*exp(1)^8*exp(2)^8+312*exp(1)^6*exp(2)^9-72*exp(1)^4*exp(2)^10-144*exp(2)^12)+(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*(56*exp(1)^10*exp(2)^7+108*exp(1)^8*exp(2)^8+22*exp(1)^6*exp(2)^9-22*exp(1)^4*exp(2)^10+76*exp(2)^12)+3*exp(1)^6*exp(2)^9+9*exp(1)^4*exp(2)^10+12*exp(2)^12-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*(-12*exp(1)^8*exp(2)^8-36*exp(1)^6*exp(2)^9-36*exp(1)^4*exp(2)^10-12*exp(2)^12)/x/exp(2))/d^4/(2*exp(2))^3/(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5/((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(2)-(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))^3/exp(1)^7+1/33554432*(83886080*d^16*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^34*exp(2)^23-41943040/3*d^16*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^32*exp(2)^24+2097152*d^16*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^4*exp(1)^30*exp(2)^25-1048576/5*d^16*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^5*exp(1)^28*exp(2)^26-50331648*d^16*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^32*exp(2)^24+4194304*d^16*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^30*exp(2)^25+16777216*d^16*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^2*exp(1)^30*exp(2)^25-5242880/3*d^16*(-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x/exp(2))^3*exp(1)^28*exp(2)^26+5242880*d^16*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^28*exp(2)^26/x/exp(2)-18874368*d^16*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^30*exp(2)^25/x/exp(2)+88080384*d^16*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^32*exp(2)^24/x/exp(2)-251658240*d^16*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^34*exp(2)^23/x/exp(2)+293601280*d^16*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))*exp(1)^36*exp(2)^22/x/exp(2))/d^20/exp(1)^35/exp(2)^20+1/2*(-120*exp(1)^6*exp(2)^2+44*exp(1)^4*exp(2)^3-9*exp(2)^5+112*exp(1)^8*exp(2))*ln(1/2*abs(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/abs(x)/exp(2))/d^4/exp(1)^4/exp(1)+1/2*(-432*exp(1)^10*exp(2)^2+72*exp(1)^8*exp(2)^3+472*exp(1)^6*exp(2)^4+90*exp(1)^4*exp(2)^5-104*exp(2)^7-224*exp(1)^12*exp(2))*atan((-1/2*(-2*d*exp(1)-2*sqrt(d^2-x^2*exp(2))*exp(1))/x+exp(2))/sqrt(-exp(1)^4+exp(2)^2))/sqrt(-exp(1)^4+exp(2)^2)/(d^4*exp(1)^7+3*d^4*exp(1)^5*exp(2)+4*d^4*exp(1)*exp(2)^3)","F(-2)",0
210,-2,0,0,0.000000," ","integrate(x^2*(-a^2*x^2+1)^(1/2)/(-a*x+1)^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
211,-2,0,0,0.000000," ","integrate(x^2*(-a^2*x^2+1)^(1/2)/(-a*x+1)^5,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
212,-2,0,0,0.000000," ","integrate(x^3/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
213,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
214,-2,0,0,0.000000," ","integrate(x/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
215,-2,0,0,0.000000," ","integrate(1/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
216,-2,0,0,0.000000," ","integrate(1/x/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
217,-2,0,0,0.000000," ","integrate(1/x^2/(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
218,-2,0,0,0.000000," ","integrate((-a*c*x+c)^(1/2)*(-a^2*x^2+1)^(1/2)/x^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
219,1,57,0,0.172151," ","integrate((-a*c*x+c)^(1/2)/x/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{2 \, c^{3} {\left(\frac{\arctan\left(\frac{\sqrt{2} \sqrt{c}}{\sqrt{-c}}\right)}{\sqrt{-c} c} - \frac{\arctan\left(\frac{\sqrt{a c x + c}}{\sqrt{-c}}\right)}{\sqrt{-c} c}\right)}}{{\left| c \right|}}"," ",0,"-2*c^3*(arctan(sqrt(2)*sqrt(c)/sqrt(-c))/(sqrt(-c)*c) - arctan(sqrt(a*c*x + c)/sqrt(-c))/(sqrt(-c)*c))/abs(c)","A",0
220,-2,0,0,0.000000," ","integrate((-a*x+1)^(1/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]1/abs(a)*a^2/a*(1/a*sqrt(-a*x+1)*sqrt(-a*(-a*x+1)+a)+1/sqrt(-a)*ln(abs(sqrt(-a*(-a*x+1)+a)-sqrt(-a)*sqrt(-a*x+1))))","F(-2)",0
221,-2,0,0,0.000000," ","integrate((-a^2*x^2+1)^(1/2)/x^(1/2)/(a*x+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]2/abs(a)*a^2/a*(1/2*ln(abs(-sqrt(-a)*sqrt(-a*x+1)+sqrt(-a*(-a*x+1)+a)))/sqrt(-a)+1/2*sqrt(-a*x+1)*sqrt(-a*(-a*x+1)+a)/a+(sqrt(2)-ln(abs(-sqrt(-a)*sqrt(2)+sqrt(-a))))/2/sqrt(-a))","F(-2)",0
222,-2,0,0,0.000000," ","integrate((a*x+1)^(1/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{16,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{12,[1,2]%%%}+%%%{-52,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{8,[3,3]%%%}+%%%{-8,[3,2]%%%}+%%%{8,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{8,[1,3]%%%}+%%%{-8,[1,2]%%%}+%%%{8,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{16,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{12,[1,2]%%%}+%%%{-52,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{8,[3,3]%%%}+%%%{-8,[3,2]%%%}+%%%{8,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{8,[1,3]%%%}+%%%{-8,[1,2]%%%}+%%%{8,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]1/abs(a)*a^2/a*(1/a*sqrt(a*x+1)*sqrt(a*(a*x+1)-a)-1/sqrt(a)*ln(abs(sqrt(a*(a*x+1)-a)-sqrt(a)*sqrt(a*x+1))))","F(-2)",0
223,-2,0,0,0.000000," ","integrate((-a^2*x^2+1)^(1/2)/x^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{16,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{12,[1,2]%%%}+%%%{-52,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{8,[3,3]%%%}+%%%{-8,[3,2]%%%}+%%%{8,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{8,[1,3]%%%}+%%%{-8,[1,2]%%%}+%%%{8,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{16,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{12,[1,2]%%%}+%%%{-52,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{8,[3,3]%%%}+%%%{-8,[3,2]%%%}+%%%{8,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{8,[1,3]%%%}+%%%{-8,[1,2]%%%}+%%%{8,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]-2/abs(a)*a^2/a*(1/2*ln(abs(-sqrt(a)*sqrt(a*x+1)+sqrt(a*(a*x+1)-a)))/sqrt(a)-1/2*sqrt(a*(a*x+1)-a)*sqrt(a*x+1)/a+(sqrt(2)-ln(abs(-sqrt(2)*sqrt(a)+sqrt(a))))/2/sqrt(a))","F(-2)",0
224,-2,0,0,0.000000," ","integrate(x^(1/2)*(-a*x+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-41.1343540126,25.8388736797]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-67.0714422017,15.451549686]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-46.2420096635,81.9516051291]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-82.5947937798,51.6443148847]1/a*(-2*a*abs(a)/a^2/a*(2*(1/8*sqrt(-a*x+1)*sqrt(-a*x+1)-5/16)*sqrt(-a*x+1)*sqrt(-a*(-a*x+1)+a)+6*a/16/sqrt(-a)*ln(abs(sqrt(-a*(-a*x+1)+a)-sqrt(-a)*sqrt(-a*x+1))))-2*abs(a)/a^2*(1/2*sqrt(-a*x+1)*sqrt(-a*(-a*x+1)+a)-2*a/4/sqrt(-a)*ln(abs(sqrt(-a*(-a*x+1)+a)-sqrt(-a)*sqrt(-a*x+1)))))","F(-2)",0
225,-2,0,0,0.000000," ","integrate(x^(1/2)*(-a^2*x^2+1)^(1/2)/(a*x+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int {\left(e x + d\right)} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{5}\,{d x}"," ",0,"integrate((e*x + d)*(-e^2*x^2 + d^2)^p*x^5, x)","F",0
241,0,0,0,0.000000," ","integrate(x^4*(e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
243,0,0,0,0.000000," ","integrate(x^2*(e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
245,0,0,0,0.000000," ","integrate((e*x+d)*(-e^2*x^2+d^2)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int {\left(e x + d\right)}^{2} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{5}\,{d x}"," ",0,"integrate((e*x + d)^2*(-e^2*x^2 + d^2)^p*x^5, 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=""giac"")","\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=""giac"")","\int {\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
252,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^2*(-e^2*x^2+d^2)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
254,0,0,0,0.000000," ","integrate((e*x+d)^2*(-e^2*x^2+d^2)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int {\left(e x + d\right)}^{3} {\left(-e^{2} x^{2} + d^{2}\right)}^{p} x^{5}\,{d x}"," ",0,"integrate((e*x + d)^3*(-e^2*x^2 + d^2)^p*x^5, 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=""giac"")","\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=""giac"")","\int {\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
261,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^3*(-e^2*x^2+d^2)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
263,0,0,0,0.000000," ","integrate((e*x+d)^3*(-e^2*x^2+d^2)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
315,1,167,0,0.896152," ","integrate(x*(1+x)^(1/2)/(x^2+1),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2 \, \sqrt{2} - 2} \arctan\left(\frac{2^{\frac{3}{4}} {\left(2^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} + 2 \, \sqrt{x + 1}\right)}}{2 \, \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{2} \, \sqrt{2 \, \sqrt{2} - 2} \arctan\left(-\frac{2^{\frac{3}{4}} {\left(2^{\frac{1}{4}} \sqrt{\sqrt{2} + 2} - 2 \, \sqrt{x + 1}\right)}}{2 \, \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(2^{\frac{1}{4}} \sqrt{x + 1} \sqrt{\sqrt{2} + 2} + x + \sqrt{2} + 1\right) + \frac{1}{4} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(-2^{\frac{1}{4}} \sqrt{x + 1} \sqrt{\sqrt{2} + 2} + x + \sqrt{2} + 1\right) + 2 \, \sqrt{x + 1}"," ",0,"-1/2*sqrt(2*sqrt(2) - 2)*arctan(1/2*2^(3/4)*(2^(1/4)*sqrt(sqrt(2) + 2) + 2*sqrt(x + 1))/sqrt(-sqrt(2) + 2)) - 1/2*sqrt(2*sqrt(2) - 2)*arctan(-1/2*2^(3/4)*(2^(1/4)*sqrt(sqrt(2) + 2) - 2*sqrt(x + 1))/sqrt(-sqrt(2) + 2)) - 1/4*sqrt(2*sqrt(2) + 2)*log(2^(1/4)*sqrt(x + 1)*sqrt(sqrt(2) + 2) + x + sqrt(2) + 1) + 1/4*sqrt(2*sqrt(2) + 2)*log(-2^(1/4)*sqrt(x + 1)*sqrt(sqrt(2) + 2) + x + sqrt(2) + 1) + 2*sqrt(x + 1)","A",0
316,1,252,0,0.209901," ","integrate(x^4*(c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""giac"")","\frac{2 \, {\left(c d^{6} + a d^{4} e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{\left(-6\right)}}{\sqrt{-c d^{2} - a e^{2}}} + \frac{1}{120} \, \sqrt{c x^{2} + a} {\left({\left(2 \, {\left(3 \, {\left(4 \, x e^{\left(-1\right)} - 5 \, d e^{\left(-2\right)}\right)} x + \frac{4 \, {\left(5 \, c^{3} d^{2} e^{18} + a c^{2} e^{20}\right)} e^{\left(-21\right)}}{c^{3}}\right)} x - \frac{15 \, {\left(4 \, c^{3} d^{3} e^{17} + a c^{2} d e^{19}\right)} e^{\left(-21\right)}}{c^{3}}\right)} x + \frac{8 \, {\left(15 \, c^{3} d^{4} e^{16} + 5 \, a c^{2} d^{2} e^{18} - 2 \, a^{2} c e^{20}\right)} e^{\left(-21\right)}}{c^{3}}\right)} + \frac{{\left(8 \, c^{\frac{5}{2}} d^{5} + 4 \, a c^{\frac{3}{2}} d^{3} e^{2} - a^{2} \sqrt{c} d e^{4}\right)} e^{\left(-6\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{8 \, c^{2}}"," ",0,"2*(c*d^6 + a*d^4*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^(-6)/sqrt(-c*d^2 - a*e^2) + 1/120*sqrt(c*x^2 + a)*((2*(3*(4*x*e^(-1) - 5*d*e^(-2))*x + 4*(5*c^3*d^2*e^18 + a*c^2*e^20)*e^(-21)/c^3)*x - 15*(4*c^3*d^3*e^17 + a*c^2*d*e^19)*e^(-21)/c^3)*x + 8*(15*c^3*d^4*e^16 + 5*a*c^2*d^2*e^18 - 2*a^2*c*e^20)*e^(-21)/c^3) + 1/8*(8*c^(5/2)*d^5 + 4*a*c^(3/2)*d^3*e^2 - a^2*sqrt(c)*d*e^4)*e^(-6)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/c^2","A",0
317,1,201,0,0.219404," ","integrate(x^3*(c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{5} + a d^{3} e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{\left(-5\right)}}{\sqrt{-c d^{2} - a e^{2}}} + \frac{1}{24} \, \sqrt{c x^{2} + a} {\left({\left(2 \, {\left(3 \, x e^{\left(-1\right)} - 4 \, d e^{\left(-2\right)}\right)} x + \frac{3 \, {\left(4 \, c^{2} d^{2} e^{12} + a c e^{14}\right)} e^{\left(-15\right)}}{c^{2}}\right)} x - \frac{8 \, {\left(3 \, c^{2} d^{3} e^{11} + a c d e^{13}\right)} e^{\left(-15\right)}}{c^{2}}\right)} - \frac{{\left(8 \, c^{2} d^{4} + 4 \, a c d^{2} e^{2} - a^{2} e^{4}\right)} e^{\left(-5\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{8 \, c^{\frac{3}{2}}}"," ",0,"-2*(c*d^5 + a*d^3*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^(-5)/sqrt(-c*d^2 - a*e^2) + 1/24*sqrt(c*x^2 + a)*((2*(3*x*e^(-1) - 4*d*e^(-2))*x + 3*(4*c^2*d^2*e^12 + a*c*e^14)*e^(-15)/c^2)*x - 8*(3*c^2*d^3*e^11 + a*c*d*e^13)*e^(-15)/c^2) - 1/8*(8*c^2*d^4 + 4*a*c*d^2*e^2 - a^2*e^4)*e^(-5)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/c^(3/2)","A",0
318,1,157,0,0.209947," ","integrate(x^2*(c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""giac"")","\frac{2 \, {\left(c d^{4} + a d^{2} e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{\left(-4\right)}}{\sqrt{-c d^{2} - a e^{2}}} + \frac{{\left(2 \, c d^{3} + a d e^{2}\right)} e^{\left(-4\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{2 \, \sqrt{c}} + \frac{1}{6} \, \sqrt{c x^{2} + a} {\left({\left(2 \, x e^{\left(-1\right)} - 3 \, d e^{\left(-2\right)}\right)} x + \frac{2 \, {\left(3 \, c d^{2} e^{7} + a e^{9}\right)} e^{\left(-10\right)}}{c}\right)}"," ",0,"2*(c*d^4 + a*d^2*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^(-4)/sqrt(-c*d^2 - a*e^2) + 1/2*(2*c*d^3 + a*d*e^2)*e^(-4)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/sqrt(c) + 1/6*sqrt(c*x^2 + a)*((2*x*e^(-1) - 3*d*e^(-2))*x + 2*(3*c*d^2*e^7 + a*e^9)*e^(-10)/c)","A",0
319,1,135,0,0.198602," ","integrate(x*(c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{3} + a d e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{\left(-3\right)}}{\sqrt{-c d^{2} - a e^{2}}} - \frac{{\left(2 \, c^{\frac{3}{2}} d^{2} + a \sqrt{c} e^{2}\right)} e^{\left(-3\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{2 \, c} + \frac{1}{2} \, \sqrt{c x^{2} + a} {\left(x e^{\left(-1\right)} - 2 \, d e^{\left(-2\right)}\right)}"," ",0,"-2*(c*d^3 + a*d*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^(-3)/sqrt(-c*d^2 - a*e^2) - 1/2*(2*c^(3/2)*d^2 + a*sqrt(c)*e^2)*e^(-3)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/c + 1/2*sqrt(c*x^2 + a)*(x*e^(-1) - 2*d*e^(-2))","A",0
320,1,109,0,0.190972," ","integrate((c*x^2+a)^(1/2)/(e*x+d),x, algorithm=""giac"")","\sqrt{c} d e^{\left(-2\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right) + \frac{2 \, {\left(c d^{2} + a e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{\left(-2\right)}}{\sqrt{-c d^{2} - a e^{2}}} + \sqrt{c x^{2} + a} e^{\left(-1\right)}"," ",0,"sqrt(c)*d*e^(-2)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a))) + 2*(c*d^2 + a*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^(-2)/sqrt(-c*d^2 - a*e^2) + sqrt(c*x^2 + a)*e^(-1)","A",0
321,-2,0,0,0.000000," ","integrate((c*x^2+a)^(1/2)/x/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
322,1,145,0,0.219515," ","integrate((c*x^2+a)^(1/2)/x^2/(e*x+d),x, algorithm=""giac"")","-\frac{2 \, a \arctan\left(-\frac{\sqrt{c} x - \sqrt{c x^{2} + a}}{\sqrt{-a}}\right) e}{\sqrt{-a} d^{2}} + \frac{2 \, a \sqrt{c}}{{\left({\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} - a\right)} d} + \frac{2 \, {\left(c d^{2} + a e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right)}{\sqrt{-c d^{2} - a e^{2}} d^{2}}"," ",0,"-2*a*arctan(-(sqrt(c)*x - sqrt(c*x^2 + a))/sqrt(-a))*e/(sqrt(-a)*d^2) + 2*a*sqrt(c)/(((sqrt(c)*x - sqrt(c*x^2 + a))^2 - a)*d) + 2*(c*d^2 + a*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))/(sqrt(-c*d^2 - a*e^2)*d^2)","A",0
323,1,230,0,0.216989," ","integrate((c*x^2+a)^(1/2)/x^3/(e*x+d),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{2} e + a e^{3}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right)}{\sqrt{-c d^{2} - a e^{2}} d^{3}} + \frac{{\left(c d^{2} + 2 \, a e^{2}\right)} \arctan\left(-\frac{\sqrt{c} x - \sqrt{c x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} d^{3}} + \frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{3} c d - 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} a \sqrt{c} e + {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} a c d + 2 \, a^{2} \sqrt{c} e}{{\left({\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} - a\right)}^{2} d^{2}}"," ",0,"-2*(c*d^2*e + a*e^3)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))/(sqrt(-c*d^2 - a*e^2)*d^3) + (c*d^2 + 2*a*e^2)*arctan(-(sqrt(c)*x - sqrt(c*x^2 + a))/sqrt(-a))/(sqrt(-a)*d^3) + ((sqrt(c)*x - sqrt(c*x^2 + a))^3*c*d - 2*(sqrt(c)*x - sqrt(c*x^2 + a))^2*a*sqrt(c)*e + (sqrt(c)*x - sqrt(c*x^2 + a))*a*c*d + 2*a^2*sqrt(c)*e)/(((sqrt(c)*x - sqrt(c*x^2 + a))^2 - a)^2*d^2)","A",0
324,1,309,0,0.211944," ","integrate((c*x^2+a)^(1/2)/x^4/(e*x+d),x, algorithm=""giac"")","\frac{2 \, {\left(c d^{2} e^{2} + a e^{4}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right)}{\sqrt{-c d^{2} - a e^{2}} d^{4}} - \frac{{\left(c d^{2} e + 2 \, a e^{3}\right)} \arctan\left(-\frac{\sqrt{c} x - \sqrt{c x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} d^{4}} - \frac{3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{5} c d e - 6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{4} c^{\frac{3}{2}} d^{2} - 6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{4} a \sqrt{c} e^{2} - 3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} a^{2} c d e - 2 \, a^{2} c^{\frac{3}{2}} d^{2} + 12 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} a^{2} \sqrt{c} e^{2} - 6 \, a^{3} \sqrt{c} e^{2}}{3 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} - a\right)}^{3} d^{3}}"," ",0,"2*(c*d^2*e^2 + a*e^4)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))/(sqrt(-c*d^2 - a*e^2)*d^4) - (c*d^2*e + 2*a*e^3)*arctan(-(sqrt(c)*x - sqrt(c*x^2 + a))/sqrt(-a))/(sqrt(-a)*d^4) - 1/3*(3*(sqrt(c)*x - sqrt(c*x^2 + a))^5*c*d*e - 6*(sqrt(c)*x - sqrt(c*x^2 + a))^4*c^(3/2)*d^2 - 6*(sqrt(c)*x - sqrt(c*x^2 + a))^4*a*sqrt(c)*e^2 - 3*(sqrt(c)*x - sqrt(c*x^2 + a))*a^2*c*d*e - 2*a^2*c^(3/2)*d^2 + 12*(sqrt(c)*x - sqrt(c*x^2 + a))^2*a^2*sqrt(c)*e^2 - 6*a^3*sqrt(c)*e^2)/(((sqrt(c)*x - sqrt(c*x^2 + a))^2 - a)^3*d^3)","A",0
325,1,596,0,0.260463," ","integrate((c*x^2+a)^(1/2)/x^5/(e*x+d),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{2} e^{3} + a e^{5}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right)}{\sqrt{-c d^{2} - a e^{2}} d^{5}} - \frac{{\left(c^{2} d^{4} - 4 \, a c d^{2} e^{2} - 8 \, a^{2} e^{4}\right)} \arctan\left(-\frac{\sqrt{c} x - \sqrt{c x^{2} + a}}{\sqrt{-a}}\right)}{4 \, \sqrt{-a} a d^{5}} + \frac{3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{7} c^{2} d^{3} - 24 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{6} a c^{\frac{3}{2}} d^{2} e + 21 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{5} a c^{2} d^{3} + 12 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{7} a c d e^{2} + 24 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{4} a^{2} c^{\frac{3}{2}} d^{2} e + 21 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{3} a^{2} c^{2} d^{3} - 12 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{5} a^{2} c d e^{2} - 24 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{6} a^{2} \sqrt{c} e^{3} - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} a^{3} c^{\frac{3}{2}} d^{2} e + 3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} a^{3} c^{2} d^{3} - 12 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{3} a^{3} c d e^{2} + 72 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{4} a^{3} \sqrt{c} e^{3} + 8 \, a^{4} c^{\frac{3}{2}} d^{2} e + 12 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} a^{4} c d e^{2} - 72 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} a^{4} \sqrt{c} e^{3} + 24 \, a^{5} \sqrt{c} e^{3}}{12 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} - a\right)}^{4} a d^{4}}"," ",0,"-2*(c*d^2*e^3 + a*e^5)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))/(sqrt(-c*d^2 - a*e^2)*d^5) - 1/4*(c^2*d^4 - 4*a*c*d^2*e^2 - 8*a^2*e^4)*arctan(-(sqrt(c)*x - sqrt(c*x^2 + a))/sqrt(-a))/(sqrt(-a)*a*d^5) + 1/12*(3*(sqrt(c)*x - sqrt(c*x^2 + a))^7*c^2*d^3 - 24*(sqrt(c)*x - sqrt(c*x^2 + a))^6*a*c^(3/2)*d^2*e + 21*(sqrt(c)*x - sqrt(c*x^2 + a))^5*a*c^2*d^3 + 12*(sqrt(c)*x - sqrt(c*x^2 + a))^7*a*c*d*e^2 + 24*(sqrt(c)*x - sqrt(c*x^2 + a))^4*a^2*c^(3/2)*d^2*e + 21*(sqrt(c)*x - sqrt(c*x^2 + a))^3*a^2*c^2*d^3 - 12*(sqrt(c)*x - sqrt(c*x^2 + a))^5*a^2*c*d*e^2 - 24*(sqrt(c)*x - sqrt(c*x^2 + a))^6*a^2*sqrt(c)*e^3 - 8*(sqrt(c)*x - sqrt(c*x^2 + a))^2*a^3*c^(3/2)*d^2*e + 3*(sqrt(c)*x - sqrt(c*x^2 + a))*a^3*c^2*d^3 - 12*(sqrt(c)*x - sqrt(c*x^2 + a))^3*a^3*c*d*e^2 + 72*(sqrt(c)*x - sqrt(c*x^2 + a))^4*a^3*sqrt(c)*e^3 + 8*a^4*c^(3/2)*d^2*e + 12*(sqrt(c)*x - sqrt(c*x^2 + a))*a^4*c*d*e^2 - 72*(sqrt(c)*x - sqrt(c*x^2 + a))^2*a^4*sqrt(c)*e^3 + 24*a^5*sqrt(c)*e^3)/(((sqrt(c)*x - sqrt(c*x^2 + a))^2 - a)^4*a*d^4)","B",0
326,1,163,0,0.213330," ","integrate(x^4/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, d^{4} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{\left(-4\right)}}{\sqrt{-c d^{2} - a e^{2}}} + \frac{1}{6} \, \sqrt{c x^{2} + a} {\left(x {\left(\frac{2 \, x e^{\left(-1\right)}}{c} - \frac{3 \, d e^{\left(-2\right)}}{c}\right)} + \frac{2 \, {\left(3 \, c^{2} d^{2} e^{7} - 2 \, a c e^{9}\right)} e^{\left(-10\right)}}{c^{3}}\right)} + \frac{{\left(2 \, c^{\frac{3}{2}} d^{3} - a \sqrt{c} d e^{2}\right)} e^{\left(-4\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{2 \, c^{2}}"," ",0,"2*d^4*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^(-4)/sqrt(-c*d^2 - a*e^2) + 1/6*sqrt(c*x^2 + a)*(x*(2*x*e^(-1)/c - 3*d*e^(-2)/c) + 2*(3*c^2*d^2*e^7 - 2*a*c*e^9)*e^(-10)/c^3) + 1/2*(2*c^(3/2)*d^3 - a*sqrt(c)*d*e^2)*e^(-4)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/c^2","A",0
327,1,129,0,0.223867," ","integrate(x^3/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, d^{3} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{\left(-3\right)}}{\sqrt{-c d^{2} - a e^{2}}} + \frac{1}{2} \, \sqrt{c x^{2} + a} {\left(\frac{x e^{\left(-1\right)}}{c} - \frac{2 \, d e^{\left(-2\right)}}{c}\right)} - \frac{{\left(2 \, c d^{2} - a e^{2}\right)} e^{\left(-3\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{2 \, c^{\frac{3}{2}}}"," ",0,"-2*d^3*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^(-3)/sqrt(-c*d^2 - a*e^2) + 1/2*sqrt(c*x^2 + a)*(x*e^(-1)/c - 2*d*e^(-2)/c) - 1/2*(2*c*d^2 - a*e^2)*e^(-3)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/c^(3/2)","A",0
328,1,105,0,0.226342," ","integrate(x^2/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, d^{2} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{\left(-2\right)}}{\sqrt{-c d^{2} - a e^{2}}} + \frac{d e^{\left(-2\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{\sqrt{c}} + \frac{\sqrt{c x^{2} + a} e^{\left(-1\right)}}{c}"," ",0,"2*d^2*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^(-2)/sqrt(-c*d^2 - a*e^2) + d*e^(-2)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/sqrt(c) + sqrt(c*x^2 + a)*e^(-1)/c","A",0
329,1,88,0,0.201370," ","integrate(x/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, d \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{\left(-1\right)}}{\sqrt{-c d^{2} - a e^{2}}} - \frac{e^{\left(-1\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{\sqrt{c}}"," ",0,"-2*d*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^(-1)/sqrt(-c*d^2 - a*e^2) - e^(-1)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/sqrt(c)","A",0
330,1,59,0,0.189014," ","integrate(1/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right)}{\sqrt{-c d^{2} - a e^{2}}}"," ",0,"2*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))/sqrt(-c*d^2 - a*e^2)","A",0
331,-2,0,0,0.000000," ","integrate(1/x/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
332,1,142,0,0.220712," ","integrate(1/x^2/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""giac"")","2 \, c {\left(\frac{\arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{2}}{\sqrt{-c d^{2} - a e^{2}} c d^{2}} - \frac{\arctan\left(-\frac{\sqrt{c} x - \sqrt{c x^{2} + a}}{\sqrt{-a}}\right) e}{\sqrt{-a} c d^{2}} + \frac{1}{{\left({\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} - a\right)} \sqrt{c} d}\right)}"," ",0,"2*c*(arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^2/(sqrt(-c*d^2 - a*e^2)*c*d^2) - arctan(-(sqrt(c)*x - sqrt(c*x^2 + a))/sqrt(-a))*e/(sqrt(-a)*c*d^2) + 1/(((sqrt(c)*x - sqrt(c*x^2 + a))^2 - a)*sqrt(c)*d))","A",0
333,1,239,0,0.221521," ","integrate(1/x^3/(e*x+d)/(c*x^2+a)^(1/2),x, algorithm=""giac"")","-c^{\frac{3}{2}} {\left(\frac{2 \, \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{3}}{\sqrt{-c d^{2} - a e^{2}} c^{\frac{3}{2}} d^{3}} + \frac{{\left(c d^{2} - 2 \, a e^{2}\right)} \arctan\left(-\frac{\sqrt{c} x - \sqrt{c x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a c^{\frac{3}{2}} d^{3}} - \frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{3} \sqrt{c} d - 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} a e + {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} a \sqrt{c} d + 2 \, a^{2} e}{{\left({\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} - a\right)}^{2} a c d^{2}}\right)}"," ",0,"-c^(3/2)*(2*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^3/(sqrt(-c*d^2 - a*e^2)*c^(3/2)*d^3) + (c*d^2 - 2*a*e^2)*arctan(-(sqrt(c)*x - sqrt(c*x^2 + a))/sqrt(-a))/(sqrt(-a)*a*c^(3/2)*d^3) - ((sqrt(c)*x - sqrt(c*x^2 + a))^3*sqrt(c)*d - 2*(sqrt(c)*x - sqrt(c*x^2 + a))^2*a*e + (sqrt(c)*x - sqrt(c*x^2 + a))*a*sqrt(c)*d + 2*a^2*e)/(((sqrt(c)*x - sqrt(c*x^2 + a))^2 - a)^2*a*c*d^2))","A",0
334,1,299,0,0.265159," ","integrate(x^4/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, d^{4} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right)}{{\left(c d^{2} e^{2} + a e^{4}\right)} \sqrt{-c d^{2} - a e^{2}}} + \frac{d e^{\left(-2\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{c^{\frac{3}{2}}} + \frac{{\left(\frac{{\left(c^{4} d^{4} e^{5} + 2 \, a c^{3} d^{2} e^{7} + a^{2} c^{2} e^{9}\right)} x}{c^{5} d^{4} e^{6} + 2 \, a c^{4} d^{2} e^{8} + a^{2} c^{3} e^{10}} + \frac{a c^{3} d^{3} e^{6} + a^{2} c^{2} d e^{8}}{c^{5} d^{4} e^{6} + 2 \, a c^{4} d^{2} e^{8} + a^{2} c^{3} e^{10}}\right)} x + \frac{a c^{3} d^{4} e^{5} + 3 \, a^{2} c^{2} d^{2} e^{7} + 2 \, a^{3} c e^{9}}{c^{5} d^{4} e^{6} + 2 \, a c^{4} d^{2} e^{8} + a^{2} c^{3} e^{10}}}{\sqrt{c x^{2} + a}}"," ",0,"2*d^4*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))/((c*d^2*e^2 + a*e^4)*sqrt(-c*d^2 - a*e^2)) + d*e^(-2)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/c^(3/2) + (((c^4*d^4*e^5 + 2*a*c^3*d^2*e^7 + a^2*c^2*e^9)*x/(c^5*d^4*e^6 + 2*a*c^4*d^2*e^8 + a^2*c^3*e^10) + (a*c^3*d^3*e^6 + a^2*c^2*d*e^8)/(c^5*d^4*e^6 + 2*a*c^4*d^2*e^8 + a^2*c^3*e^10))*x + (a*c^3*d^4*e^5 + 3*a^2*c^2*d^2*e^7 + 2*a^3*c*e^9)/(c^5*d^4*e^6 + 2*a*c^4*d^2*e^8 + a^2*c^3*e^10))/sqrt(c*x^2 + a)","B",0
335,1,219,0,0.235435," ","integrate(x^3/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, d^{3} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right)}{{\left(c d^{2} e + a e^{3}\right)} \sqrt{-c d^{2} - a e^{2}}} - \frac{\frac{{\left(a c^{2} d^{2} e^{3} + a^{2} c e^{5}\right)} x}{c^{4} d^{4} e^{2} + 2 \, a c^{3} d^{2} e^{4} + a^{2} c^{2} e^{6}} - \frac{a c^{2} d^{3} e^{2} + a^{2} c d e^{4}}{c^{4} d^{4} e^{2} + 2 \, a c^{3} d^{2} e^{4} + a^{2} c^{2} e^{6}}}{\sqrt{c x^{2} + a}} - \frac{e^{\left(-1\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{c^{\frac{3}{2}}}"," ",0,"-2*d^3*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))/((c*d^2*e + a*e^3)*sqrt(-c*d^2 - a*e^2)) - ((a*c^2*d^2*e^3 + a^2*c*e^5)*x/(c^4*d^4*e^2 + 2*a*c^3*d^2*e^4 + a^2*c^2*e^6) - (a*c^2*d^3*e^2 + a^2*c*d*e^4)/(c^4*d^4*e^2 + 2*a*c^3*d^2*e^4 + a^2*c^2*e^6))/sqrt(c*x^2 + a) - e^(-1)*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/c^(3/2)","A",0
336,1,174,0,0.217341," ","integrate(x^2/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, d^{2} \arctan\left(\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right)}{{\left(c d^{2} + a e^{2}\right)} \sqrt{-c d^{2} - a e^{2}}} - \frac{\frac{{\left(c^{2} d^{3} + a c d e^{2}\right)} x}{c^{3} d^{4} + 2 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}} + \frac{a c d^{2} e + a^{2} e^{3}}{c^{3} d^{4} + 2 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}}}{\sqrt{c x^{2} + a}}"," ",0,"-2*d^2*arctan(((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))/((c*d^2 + a*e^2)*sqrt(-c*d^2 - a*e^2)) - ((c^2*d^3 + a*c*d*e^2)*x/(c^3*d^4 + 2*a*c^2*d^2*e^2 + a^2*c*e^4) + (a*c*d^2*e + a^2*e^3)/(c^3*d^4 + 2*a*c^2*d^2*e^2 + a^2*c*e^4))/sqrt(c*x^2 + a)","A",0
337,1,162,0,0.205446," ","integrate(x/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, d \arctan\left(\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e}{{\left(c d^{2} + a e^{2}\right)} \sqrt{-c d^{2} - a e^{2}}} + \frac{\frac{{\left(c d^{2} e + a e^{3}\right)} x}{c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}} - \frac{c d^{3} + a d e^{2}}{c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}}}{\sqrt{c x^{2} + a}}"," ",0,"2*d*arctan(((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e/((c*d^2 + a*e^2)*sqrt(-c*d^2 - a*e^2)) + ((c*d^2*e + a*e^3)*x/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) - (c*d^3 + a*d*e^2)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4))/sqrt(c*x^2 + a)","A",0
338,1,172,0,0.231755," ","integrate(1/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{\frac{{\left(c^{2} d^{3} + a c d e^{2}\right)} x}{a c^{2} d^{4} + 2 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}} + \frac{a c d^{2} e + a^{2} e^{3}}{a c^{2} d^{4} + 2 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}}}{\sqrt{c x^{2} + a}} - \frac{2 \, \arctan\left(\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{2}}{{\left(c d^{2} + a e^{2}\right)} \sqrt{-c d^{2} - a e^{2}}}"," ",0,"((c^2*d^3 + a*c*d*e^2)*x/(a*c^2*d^4 + 2*a^2*c*d^2*e^2 + a^3*e^4) + (a*c*d^2*e + a^2*e^3)/(a*c^2*d^4 + 2*a^2*c*d^2*e^2 + a^3*e^4))/sqrt(c*x^2 + a) - 2*arctan(((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^2/((c*d^2 + a*e^2)*sqrt(-c*d^2 - a*e^2))","A",0
339,-2,0,0,0.000000," ","integrate(1/x/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
340,1,266,0,0.250561," ","integrate(1/x^2/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""giac"")","-\frac{\frac{{\left(a c^{3} d^{3} + a^{2} c^{2} d e^{2}\right)} x}{a^{3} c^{2} d^{4} + 2 \, a^{4} c d^{2} e^{2} + a^{5} e^{4}} + \frac{a^{2} c^{2} d^{2} e + a^{3} c e^{3}}{a^{3} c^{2} d^{4} + 2 \, a^{4} c d^{2} e^{2} + a^{5} e^{4}}}{\sqrt{c x^{2} + a}} - \frac{2 \, \arctan\left(\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{4}}{{\left(c d^{4} + a d^{2} e^{2}\right)} \sqrt{-c d^{2} - a e^{2}}} - \frac{2 \, \arctan\left(-\frac{\sqrt{c} x - \sqrt{c x^{2} + a}}{\sqrt{-a}}\right) e}{\sqrt{-a} a d^{2}} + \frac{2 \, \sqrt{c}}{{\left({\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} - a\right)} a d}"," ",0,"-((a*c^3*d^3 + a^2*c^2*d*e^2)*x/(a^3*c^2*d^4 + 2*a^4*c*d^2*e^2 + a^5*e^4) + (a^2*c^2*d^2*e + a^3*c*e^3)/(a^3*c^2*d^4 + 2*a^4*c*d^2*e^2 + a^5*e^4))/sqrt(c*x^2 + a) - 2*arctan(((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^4/((c*d^4 + a*d^2*e^2)*sqrt(-c*d^2 - a*e^2)) - 2*arctan(-(sqrt(c)*x - sqrt(c*x^2 + a))/sqrt(-a))*e/(sqrt(-a)*a*d^2) + 2*sqrt(c)/(((sqrt(c)*x - sqrt(c*x^2 + a))^2 - a)*a*d)","A",0
341,1,358,0,0.288610," ","integrate(1/x^3/(e*x+d)/(c*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{\frac{{\left(a^{2} c^{3} d^{2} e + a^{3} c^{2} e^{3}\right)} x}{a^{4} c^{2} d^{4} + 2 \, a^{5} c d^{2} e^{2} + a^{6} e^{4}} - \frac{a^{2} c^{3} d^{3} + a^{3} c^{2} d e^{2}}{a^{4} c^{2} d^{4} + 2 \, a^{5} c d^{2} e^{2} + a^{6} e^{4}}}{\sqrt{c x^{2} + a}} - \frac{2 \, \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} - a e^{2}}}\right) e^{5}}{{\left(c d^{5} + a d^{3} e^{2}\right)} \sqrt{-c d^{2} - a e^{2}}} - \frac{{\left(3 \, c d^{2} - 2 \, a e^{2}\right)} \arctan\left(-\frac{\sqrt{c} x - \sqrt{c x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2} d^{3}} + \frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{3} c d - 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} a \sqrt{c} e + {\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)} a c d + 2 \, a^{2} \sqrt{c} e}{{\left({\left(\sqrt{c} x - \sqrt{c x^{2} + a}\right)}^{2} - a\right)}^{2} a^{2} d^{2}}"," ",0,"((a^2*c^3*d^2*e + a^3*c^2*e^3)*x/(a^4*c^2*d^4 + 2*a^5*c*d^2*e^2 + a^6*e^4) - (a^2*c^3*d^3 + a^3*c^2*d*e^2)/(a^4*c^2*d^4 + 2*a^5*c*d^2*e^2 + a^6*e^4))/sqrt(c*x^2 + a) - 2*arctan(-((sqrt(c)*x - sqrt(c*x^2 + a))*e + sqrt(c)*d)/sqrt(-c*d^2 - a*e^2))*e^5/((c*d^5 + a*d^3*e^2)*sqrt(-c*d^2 - a*e^2)) - (3*c*d^2 - 2*a*e^2)*arctan(-(sqrt(c)*x - sqrt(c*x^2 + a))/sqrt(-a))/(sqrt(-a)*a^2*d^3) + ((sqrt(c)*x - sqrt(c*x^2 + a))^3*c*d - 2*(sqrt(c)*x - sqrt(c*x^2 + a))^2*a*sqrt(c)*e + (sqrt(c)*x - sqrt(c*x^2 + a))*a*c*d + 2*a^2*sqrt(c)*e)/(((sqrt(c)*x - sqrt(c*x^2 + a))^2 - a)^2*a^2*d^2)","A",0
342,-1,0,0,0.000000," ","integrate(x^5/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
343,-1,0,0,0.000000," ","integrate(x^4/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
344,-2,0,0,0.000000," ","integrate(x^3/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to divide, perhaps due to rounding error%%%{%%%{1,[0,1,0,0]%%%},[4,1]%%%}+%%%{%%%{-2,[0,1,1,0]%%%},[2,1]%%%}+%%%{%%%{1,[0,1,2,0]%%%},[0,1]%%%} / %%%{%%%{1,[1,2,0,0]%%%}+%%%{1,[0,0,1,2]%%%},[4,0]%%%}+%%%{%%%{-2,[1,2,1,0]%%%}+%%%{-2,[0,0,2,2]%%%},[2,0]%%%}+%%%{%%%{1,[1,2,2,0]%%%}+%%%{1,[0,0,3,2]%%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
345,-2,0,0,0.000000," ","integrate(x^2/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 0.66Error: Bad Argument Type","F(-2)",0
346,-1,0,0,0.000000," ","integrate(x/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
347,-1,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
348,1,126,0,0.566399," ","integrate(1/x/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""giac"")","{\left(\frac{\sqrt{c - \frac{2 \, c d}{x e + d} + \frac{c d^{2}}{{\left(x e + d\right)}^{2}} + \frac{a e^{2}}{{\left(x e + d\right)}^{2}}} d^{2} e^{2} \mathrm{sgn}\left(\frac{1}{x e + d}\right)}{c d^{5} \mathrm{sgn}\left(\frac{1}{x e + d}\right)^{2} + a d^{3} e^{2} \mathrm{sgn}\left(\frac{1}{x e + d}\right)^{2}} - \frac{\sqrt{c} e^{2} \mathrm{sgn}\left(\frac{1}{x e + d}\right)}{c d^{3} + a d e^{2}}\right)} e^{\left(-1\right)}"," ",0,"(sqrt(c - 2*c*d/(x*e + d) + c*d^2/(x*e + d)^2 + a*e^2/(x*e + d)^2)*d^2*e^2*sgn(1/(x*e + d))/(c*d^5*sgn(1/(x*e + d))^2 + a*d^3*e^2*sgn(1/(x*e + d))^2) - sqrt(c)*e^2*sgn(1/(x*e + d))/(c*d^3 + a*d*e^2))*e^(-1)","A",0
349,-2,0,0,0.000000," ","integrate(1/x^2/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to divide, perhaps due to rounding error%%%{%%{[%%%{1,[0,0,0,5]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[4,1]%%%}+%%%{%%%{-4,[1,2,0,4]%%%}+%%%{-4,[0,0,1,6]%%%},[3,1]%%%}+%%%{%%{[%%%{4,[1,2,0,3]%%%}+%%%{6,[0,0,1,5]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[2,1]%%%}+%%%{%%%{-4,[1,2,1,4]%%%}+%%%{-4,[0,0,2,6]%%%},[1,1]%%%}+%%%{%%{[%%%{1,[0,0,2,5]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[0,1]%%%} / %%%{%%%{1,[1,2,0,2]%%%}+%%%{1,[0,0,1,4]%%%},[4,0]%%%}+%%%{%%{poly1[%%%{-4,[1,2,0,1]%%%}+%%%{-4,[0,0,1,3]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[3,0]%%%}+%%%{%%%{4,[2,4,0,0]%%%}+%%%{10,[1,2,1,2]%%%}+%%%{6,[0,0,2,4]%%%},[2,0]%%%}+%%%{%%{poly1[%%%{-4,[1,2,1,1]%%%}+%%%{-4,[0,0,2,3]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[1,0]%%%}+%%%{%%%{1,[1,2,2,2]%%%}+%%%{1,[0,0,3,4]%%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
350,-2,0,0,0.000000," ","integrate(1/x^3/(e*x+d)^2/(c*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 0.53Unable to divide, perhaps due to rounding error%%%{%%%{1,[0,0,0,7]%%%},[6,1]%%%}+%%%{%%{[%%%{-6,[0,0,0,6]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[5,1]%%%}+%%%{%%%{12,[1,2,0,5]%%%}+%%%{15,[0,0,1,7]%%%},[4,1]%%%}+%%%{%%{[%%%{-8,[1,2,0,4]%%%}+%%%{-20,[0,0,1,6]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[3,1]%%%}+%%%{%%%{12,[1,2,1,5]%%%}+%%%{15,[0,0,2,7]%%%},[2,1]%%%}+%%%{%%{[%%%{-6,[0,0,2,6]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[1,1]%%%}+%%%{%%%{1,[0,0,3,7]%%%},[0,1]%%%} / %%%{%%{[%%%{-1,[1,2,0,3]%%%}+%%%{-1,[0,0,1,5]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[6,0]%%%}+%%%{%%%{6,[2,4,0,2]%%%}+%%%{12,[1,2,1,4]%%%}+%%%{6,[0,0,2,6]%%%},[5,0]%%%}+%%%{%%{[%%%{-12,[2,4,0,1]%%%}+%%%{-27,[1,2,1,3]%%%}+%%%{-15,[0,0,2,5]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[4,0]%%%}+%%%{%%%{8,[3,6,0,0]%%%}+%%%{36,[2,4,1,2]%%%}+%%%{48,[1,2,2,4]%%%}+%%%{20,[0,0,3,6]%%%},[3,0]%%%}+%%%{%%{[%%%{-12,[2,4,1,1]%%%}+%%%{-27,[1,2,2,3]%%%}+%%%{-15,[0,0,3,5]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[2,0]%%%}+%%%{%%%{6,[2,4,2,2]%%%}+%%%{12,[1,2,3,4]%%%}+%%%{6,[0,0,4,6]%%%},[1,0]%%%}+%%%{%%{[%%%{-1,[1,2,3,3]%%%}+%%%{-1,[0,0,4,5]%%%},0]:[1,0,%%%{-1,[1,2,0,0]%%%}+%%%{-1,[0,0,1,2]%%%}]%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
351,1,624,0,0.193716," ","integrate(x^2*(b*x+a)^n*(d*x^2+c),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{5} d n^{4} x^{5} + {\left(b x + a\right)}^{n} a b^{4} d n^{4} x^{4} + 10 \, {\left(b x + a\right)}^{n} b^{5} d n^{3} x^{5} + {\left(b x + a\right)}^{n} b^{5} c n^{4} x^{3} + 6 \, {\left(b x + a\right)}^{n} a b^{4} d n^{3} x^{4} + 35 \, {\left(b x + a\right)}^{n} b^{5} d n^{2} x^{5} + {\left(b x + a\right)}^{n} a b^{4} c n^{4} x^{2} + 12 \, {\left(b x + a\right)}^{n} b^{5} c n^{3} x^{3} - 4 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d n^{3} x^{3} + 11 \, {\left(b x + a\right)}^{n} a b^{4} d n^{2} x^{4} + 50 \, {\left(b x + a\right)}^{n} b^{5} d n x^{5} + 10 \, {\left(b x + a\right)}^{n} a b^{4} c n^{3} x^{2} + 49 \, {\left(b x + a\right)}^{n} b^{5} c n^{2} x^{3} - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d n^{2} x^{3} + 6 \, {\left(b x + a\right)}^{n} a b^{4} d n x^{4} + 24 \, {\left(b x + a\right)}^{n} b^{5} d x^{5} - 2 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c n^{3} x + 29 \, {\left(b x + a\right)}^{n} a b^{4} c n^{2} x^{2} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} d n^{2} x^{2} + 78 \, {\left(b x + a\right)}^{n} b^{5} c n x^{3} - 8 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d n x^{3} - 18 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c n^{2} x + 20 \, {\left(b x + a\right)}^{n} a b^{4} c n x^{2} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} d n x^{2} + 40 \, {\left(b x + a\right)}^{n} b^{5} c x^{3} + 2 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c n^{2} - 40 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c n x - 24 \, {\left(b x + a\right)}^{n} a^{4} b d n x + 18 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c n + 40 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c + 24 \, {\left(b x + a\right)}^{n} a^{5} d}{b^{5} n^{5} + 15 \, b^{5} n^{4} + 85 \, b^{5} n^{3} + 225 \, b^{5} n^{2} + 274 \, b^{5} n + 120 \, b^{5}}"," ",0,"((b*x + a)^n*b^5*d*n^4*x^5 + (b*x + a)^n*a*b^4*d*n^4*x^4 + 10*(b*x + a)^n*b^5*d*n^3*x^5 + (b*x + a)^n*b^5*c*n^4*x^3 + 6*(b*x + a)^n*a*b^4*d*n^3*x^4 + 35*(b*x + a)^n*b^5*d*n^2*x^5 + (b*x + a)^n*a*b^4*c*n^4*x^2 + 12*(b*x + a)^n*b^5*c*n^3*x^3 - 4*(b*x + a)^n*a^2*b^3*d*n^3*x^3 + 11*(b*x + a)^n*a*b^4*d*n^2*x^4 + 50*(b*x + a)^n*b^5*d*n*x^5 + 10*(b*x + a)^n*a*b^4*c*n^3*x^2 + 49*(b*x + a)^n*b^5*c*n^2*x^3 - 12*(b*x + a)^n*a^2*b^3*d*n^2*x^3 + 6*(b*x + a)^n*a*b^4*d*n*x^4 + 24*(b*x + a)^n*b^5*d*x^5 - 2*(b*x + a)^n*a^2*b^3*c*n^3*x + 29*(b*x + a)^n*a*b^4*c*n^2*x^2 + 12*(b*x + a)^n*a^3*b^2*d*n^2*x^2 + 78*(b*x + a)^n*b^5*c*n*x^3 - 8*(b*x + a)^n*a^2*b^3*d*n*x^3 - 18*(b*x + a)^n*a^2*b^3*c*n^2*x + 20*(b*x + a)^n*a*b^4*c*n*x^2 + 12*(b*x + a)^n*a^3*b^2*d*n*x^2 + 40*(b*x + a)^n*b^5*c*x^3 + 2*(b*x + a)^n*a^3*b^2*c*n^2 - 40*(b*x + a)^n*a^2*b^3*c*n*x - 24*(b*x + a)^n*a^4*b*d*n*x + 18*(b*x + a)^n*a^3*b^2*c*n + 40*(b*x + a)^n*a^3*b^2*c + 24*(b*x + a)^n*a^5*d)/(b^5*n^5 + 15*b^5*n^4 + 85*b^5*n^3 + 225*b^5*n^2 + 274*b^5*n + 120*b^5)","B",0
352,1,410,0,0.188776," ","integrate(x*(b*x+a)^n*(d*x^2+c),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{4} d n^{3} x^{4} + {\left(b x + a\right)}^{n} a b^{3} d n^{3} x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} d n^{2} x^{4} + {\left(b x + a\right)}^{n} b^{4} c n^{3} x^{2} + 3 \, {\left(b x + a\right)}^{n} a b^{3} d n^{2} x^{3} + 11 \, {\left(b x + a\right)}^{n} b^{4} d n x^{4} + {\left(b x + a\right)}^{n} a b^{3} c n^{3} x + 8 \, {\left(b x + a\right)}^{n} b^{4} c n^{2} x^{2} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} d n^{2} x^{2} + 2 \, {\left(b x + a\right)}^{n} a b^{3} d n x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} d x^{4} + 7 \, {\left(b x + a\right)}^{n} a b^{3} c n^{2} x + 19 \, {\left(b x + a\right)}^{n} b^{4} c n x^{2} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} d n x^{2} - {\left(b x + a\right)}^{n} a^{2} b^{2} c n^{2} + 12 \, {\left(b x + a\right)}^{n} a b^{3} c n x + 6 \, {\left(b x + a\right)}^{n} a^{3} b d n x + 12 \, {\left(b x + a\right)}^{n} b^{4} c x^{2} - 7 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c n - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c - 6 \, {\left(b x + a\right)}^{n} a^{4} d}{b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}}"," ",0,"((b*x + a)^n*b^4*d*n^3*x^4 + (b*x + a)^n*a*b^3*d*n^3*x^3 + 6*(b*x + a)^n*b^4*d*n^2*x^4 + (b*x + a)^n*b^4*c*n^3*x^2 + 3*(b*x + a)^n*a*b^3*d*n^2*x^3 + 11*(b*x + a)^n*b^4*d*n*x^4 + (b*x + a)^n*a*b^3*c*n^3*x + 8*(b*x + a)^n*b^4*c*n^2*x^2 - 3*(b*x + a)^n*a^2*b^2*d*n^2*x^2 + 2*(b*x + a)^n*a*b^3*d*n*x^3 + 6*(b*x + a)^n*b^4*d*x^4 + 7*(b*x + a)^n*a*b^3*c*n^2*x + 19*(b*x + a)^n*b^4*c*n*x^2 - 3*(b*x + a)^n*a^2*b^2*d*n*x^2 - (b*x + a)^n*a^2*b^2*c*n^2 + 12*(b*x + a)^n*a*b^3*c*n*x + 6*(b*x + a)^n*a^3*b*d*n*x + 12*(b*x + a)^n*b^4*c*x^2 - 7*(b*x + a)^n*a^2*b^2*c*n - 12*(b*x + a)^n*a^2*b^2*c - 6*(b*x + a)^n*a^4*d)/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)","B",0
353,1,237,0,0.164168," ","integrate((b*x+a)^n*(d*x^2+c),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{3} d n^{2} x^{3} + {\left(b x + a\right)}^{n} a b^{2} d n^{2} x^{2} + 3 \, {\left(b x + a\right)}^{n} b^{3} d n x^{3} + {\left(b x + a\right)}^{n} b^{3} c n^{2} x + {\left(b x + a\right)}^{n} a b^{2} d n x^{2} + 2 \, {\left(b x + a\right)}^{n} b^{3} d x^{3} + {\left(b x + a\right)}^{n} a b^{2} c n^{2} + 5 \, {\left(b x + a\right)}^{n} b^{3} c n x - 2 \, {\left(b x + a\right)}^{n} a^{2} b d n x + 5 \, {\left(b x + a\right)}^{n} a b^{2} c n + 6 \, {\left(b x + a\right)}^{n} b^{3} c x + 6 \, {\left(b x + a\right)}^{n} a b^{2} c + 2 \, {\left(b x + a\right)}^{n} a^{3} d}{b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}}"," ",0,"((b*x + a)^n*b^3*d*n^2*x^3 + (b*x + a)^n*a*b^2*d*n^2*x^2 + 3*(b*x + a)^n*b^3*d*n*x^3 + (b*x + a)^n*b^3*c*n^2*x + (b*x + a)^n*a*b^2*d*n*x^2 + 2*(b*x + a)^n*b^3*d*x^3 + (b*x + a)^n*a*b^2*c*n^2 + 5*(b*x + a)^n*b^3*c*n*x - 2*(b*x + a)^n*a^2*b*d*n*x + 5*(b*x + a)^n*a*b^2*c*n + 6*(b*x + a)^n*b^3*c*x + 6*(b*x + a)^n*a*b^2*c + 2*(b*x + a)^n*a^3*d)/(b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3)","B",0
354,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x^2+c)/x,x, algorithm=""giac"")","\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
355,1,1750,0,0.215138," ","integrate(x^2*(b*x+a)^n*(d*x^2+c)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{7} d^{2} n^{6} x^{7} + {\left(b x + a\right)}^{n} a b^{6} d^{2} n^{6} x^{6} + 21 \, {\left(b x + a\right)}^{n} b^{7} d^{2} n^{5} x^{7} + 2 \, {\left(b x + a\right)}^{n} b^{7} c d n^{6} x^{5} + 15 \, {\left(b x + a\right)}^{n} a b^{6} d^{2} n^{5} x^{6} + 175 \, {\left(b x + a\right)}^{n} b^{7} d^{2} n^{4} x^{7} + 2 \, {\left(b x + a\right)}^{n} a b^{6} c d n^{6} x^{4} + 46 \, {\left(b x + a\right)}^{n} b^{7} c d n^{5} x^{5} - 6 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{2} n^{5} x^{5} + 85 \, {\left(b x + a\right)}^{n} a b^{6} d^{2} n^{4} x^{6} + 735 \, {\left(b x + a\right)}^{n} b^{7} d^{2} n^{3} x^{7} + {\left(b x + a\right)}^{n} b^{7} c^{2} n^{6} x^{3} + 38 \, {\left(b x + a\right)}^{n} a b^{6} c d n^{5} x^{4} + 414 \, {\left(b x + a\right)}^{n} b^{7} c d n^{4} x^{5} - 60 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{2} n^{4} x^{5} + 225 \, {\left(b x + a\right)}^{n} a b^{6} d^{2} n^{3} x^{6} + 1624 \, {\left(b x + a\right)}^{n} b^{7} d^{2} n^{2} x^{7} + {\left(b x + a\right)}^{n} a b^{6} c^{2} n^{6} x^{2} + 25 \, {\left(b x + a\right)}^{n} b^{7} c^{2} n^{5} x^{3} - 8 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d n^{5} x^{3} + 262 \, {\left(b x + a\right)}^{n} a b^{6} c d n^{4} x^{4} + 30 \, {\left(b x + a\right)}^{n} a^{3} b^{4} d^{2} n^{4} x^{4} + 1850 \, {\left(b x + a\right)}^{n} b^{7} c d n^{3} x^{5} - 210 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{2} n^{3} x^{5} + 274 \, {\left(b x + a\right)}^{n} a b^{6} d^{2} n^{2} x^{6} + 1764 \, {\left(b x + a\right)}^{n} b^{7} d^{2} n x^{7} + 23 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} n^{5} x^{2} + 247 \, {\left(b x + a\right)}^{n} b^{7} c^{2} n^{4} x^{3} - 128 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d n^{4} x^{3} + 802 \, {\left(b x + a\right)}^{n} a b^{6} c d n^{3} x^{4} + 180 \, {\left(b x + a\right)}^{n} a^{3} b^{4} d^{2} n^{3} x^{4} + 4288 \, {\left(b x + a\right)}^{n} b^{7} c d n^{2} x^{5} - 300 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{2} n^{2} x^{5} + 120 \, {\left(b x + a\right)}^{n} a b^{6} d^{2} n x^{6} + 720 \, {\left(b x + a\right)}^{n} b^{7} d^{2} x^{7} - 2 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} n^{5} x + 201 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} n^{4} x^{2} + 24 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c d n^{4} x^{2} + 1219 \, {\left(b x + a\right)}^{n} b^{7} c^{2} n^{3} x^{3} - 664 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d n^{3} x^{3} - 120 \, {\left(b x + a\right)}^{n} a^{4} b^{3} d^{2} n^{3} x^{3} + 1080 \, {\left(b x + a\right)}^{n} a b^{6} c d n^{2} x^{4} + 330 \, {\left(b x + a\right)}^{n} a^{3} b^{4} d^{2} n^{2} x^{4} + 4824 \, {\left(b x + a\right)}^{n} b^{7} c d n x^{5} - 144 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{2} n x^{5} - 44 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} n^{4} x + 817 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} n^{3} x^{2} + 336 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c d n^{3} x^{2} + 3112 \, {\left(b x + a\right)}^{n} b^{7} c^{2} n^{2} x^{3} - 1216 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d n^{2} x^{3} - 360 \, {\left(b x + a\right)}^{n} a^{4} b^{3} d^{2} n^{2} x^{3} + 504 \, {\left(b x + a\right)}^{n} a b^{6} c d n x^{4} + 180 \, {\left(b x + a\right)}^{n} a^{3} b^{4} d^{2} n x^{4} + 2016 \, {\left(b x + a\right)}^{n} b^{7} c d x^{5} + 2 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} n^{4} - 358 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} n^{3} x - 48 \, {\left(b x + a\right)}^{n} a^{4} b^{3} c d n^{3} x + 1478 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} n^{2} x^{2} + 1320 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c d n^{2} x^{2} + 360 \, {\left(b x + a\right)}^{n} a^{5} b^{2} d^{2} n^{2} x^{2} + 3796 \, {\left(b x + a\right)}^{n} b^{7} c^{2} n x^{3} - 672 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d n x^{3} - 240 \, {\left(b x + a\right)}^{n} a^{4} b^{3} d^{2} n x^{3} + 44 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} n^{3} - 1276 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} n^{2} x - 624 \, {\left(b x + a\right)}^{n} a^{4} b^{3} c d n^{2} x + 840 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} n x^{2} + 1008 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c d n x^{2} + 360 \, {\left(b x + a\right)}^{n} a^{5} b^{2} d^{2} n x^{2} + 1680 \, {\left(b x + a\right)}^{n} b^{7} c^{2} x^{3} + 358 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} n^{2} + 48 \, {\left(b x + a\right)}^{n} a^{5} b^{2} c d n^{2} - 1680 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} n x - 2016 \, {\left(b x + a\right)}^{n} a^{4} b^{3} c d n x - 720 \, {\left(b x + a\right)}^{n} a^{6} b d^{2} n x + 1276 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} n + 624 \, {\left(b x + a\right)}^{n} a^{5} b^{2} c d n + 1680 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} + 2016 \, {\left(b x + a\right)}^{n} a^{5} b^{2} c d + 720 \, {\left(b x + a\right)}^{n} a^{7} d^{2}}{b^{7} n^{7} + 28 \, b^{7} n^{6} + 322 \, b^{7} n^{5} + 1960 \, b^{7} n^{4} + 6769 \, b^{7} n^{3} + 13132 \, b^{7} n^{2} + 13068 \, b^{7} n + 5040 \, b^{7}}"," ",0,"((b*x + a)^n*b^7*d^2*n^6*x^7 + (b*x + a)^n*a*b^6*d^2*n^6*x^6 + 21*(b*x + a)^n*b^7*d^2*n^5*x^7 + 2*(b*x + a)^n*b^7*c*d*n^6*x^5 + 15*(b*x + a)^n*a*b^6*d^2*n^5*x^6 + 175*(b*x + a)^n*b^7*d^2*n^4*x^7 + 2*(b*x + a)^n*a*b^6*c*d*n^6*x^4 + 46*(b*x + a)^n*b^7*c*d*n^5*x^5 - 6*(b*x + a)^n*a^2*b^5*d^2*n^5*x^5 + 85*(b*x + a)^n*a*b^6*d^2*n^4*x^6 + 735*(b*x + a)^n*b^7*d^2*n^3*x^7 + (b*x + a)^n*b^7*c^2*n^6*x^3 + 38*(b*x + a)^n*a*b^6*c*d*n^5*x^4 + 414*(b*x + a)^n*b^7*c*d*n^4*x^5 - 60*(b*x + a)^n*a^2*b^5*d^2*n^4*x^5 + 225*(b*x + a)^n*a*b^6*d^2*n^3*x^6 + 1624*(b*x + a)^n*b^7*d^2*n^2*x^7 + (b*x + a)^n*a*b^6*c^2*n^6*x^2 + 25*(b*x + a)^n*b^7*c^2*n^5*x^3 - 8*(b*x + a)^n*a^2*b^5*c*d*n^5*x^3 + 262*(b*x + a)^n*a*b^6*c*d*n^4*x^4 + 30*(b*x + a)^n*a^3*b^4*d^2*n^4*x^4 + 1850*(b*x + a)^n*b^7*c*d*n^3*x^5 - 210*(b*x + a)^n*a^2*b^5*d^2*n^3*x^5 + 274*(b*x + a)^n*a*b^6*d^2*n^2*x^6 + 1764*(b*x + a)^n*b^7*d^2*n*x^7 + 23*(b*x + a)^n*a*b^6*c^2*n^5*x^2 + 247*(b*x + a)^n*b^7*c^2*n^4*x^3 - 128*(b*x + a)^n*a^2*b^5*c*d*n^4*x^3 + 802*(b*x + a)^n*a*b^6*c*d*n^3*x^4 + 180*(b*x + a)^n*a^3*b^4*d^2*n^3*x^4 + 4288*(b*x + a)^n*b^7*c*d*n^2*x^5 - 300*(b*x + a)^n*a^2*b^5*d^2*n^2*x^5 + 120*(b*x + a)^n*a*b^6*d^2*n*x^6 + 720*(b*x + a)^n*b^7*d^2*x^7 - 2*(b*x + a)^n*a^2*b^5*c^2*n^5*x + 201*(b*x + a)^n*a*b^6*c^2*n^4*x^2 + 24*(b*x + a)^n*a^3*b^4*c*d*n^4*x^2 + 1219*(b*x + a)^n*b^7*c^2*n^3*x^3 - 664*(b*x + a)^n*a^2*b^5*c*d*n^3*x^3 - 120*(b*x + a)^n*a^4*b^3*d^2*n^3*x^3 + 1080*(b*x + a)^n*a*b^6*c*d*n^2*x^4 + 330*(b*x + a)^n*a^3*b^4*d^2*n^2*x^4 + 4824*(b*x + a)^n*b^7*c*d*n*x^5 - 144*(b*x + a)^n*a^2*b^5*d^2*n*x^5 - 44*(b*x + a)^n*a^2*b^5*c^2*n^4*x + 817*(b*x + a)^n*a*b^6*c^2*n^3*x^2 + 336*(b*x + a)^n*a^3*b^4*c*d*n^3*x^2 + 3112*(b*x + a)^n*b^7*c^2*n^2*x^3 - 1216*(b*x + a)^n*a^2*b^5*c*d*n^2*x^3 - 360*(b*x + a)^n*a^4*b^3*d^2*n^2*x^3 + 504*(b*x + a)^n*a*b^6*c*d*n*x^4 + 180*(b*x + a)^n*a^3*b^4*d^2*n*x^4 + 2016*(b*x + a)^n*b^7*c*d*x^5 + 2*(b*x + a)^n*a^3*b^4*c^2*n^4 - 358*(b*x + a)^n*a^2*b^5*c^2*n^3*x - 48*(b*x + a)^n*a^4*b^3*c*d*n^3*x + 1478*(b*x + a)^n*a*b^6*c^2*n^2*x^2 + 1320*(b*x + a)^n*a^3*b^4*c*d*n^2*x^2 + 360*(b*x + a)^n*a^5*b^2*d^2*n^2*x^2 + 3796*(b*x + a)^n*b^7*c^2*n*x^3 - 672*(b*x + a)^n*a^2*b^5*c*d*n*x^3 - 240*(b*x + a)^n*a^4*b^3*d^2*n*x^3 + 44*(b*x + a)^n*a^3*b^4*c^2*n^3 - 1276*(b*x + a)^n*a^2*b^5*c^2*n^2*x - 624*(b*x + a)^n*a^4*b^3*c*d*n^2*x + 840*(b*x + a)^n*a*b^6*c^2*n*x^2 + 1008*(b*x + a)^n*a^3*b^4*c*d*n*x^2 + 360*(b*x + a)^n*a^5*b^2*d^2*n*x^2 + 1680*(b*x + a)^n*b^7*c^2*x^3 + 358*(b*x + a)^n*a^3*b^4*c^2*n^2 + 48*(b*x + a)^n*a^5*b^2*c*d*n^2 - 1680*(b*x + a)^n*a^2*b^5*c^2*n*x - 2016*(b*x + a)^n*a^4*b^3*c*d*n*x - 720*(b*x + a)^n*a^6*b*d^2*n*x + 1276*(b*x + a)^n*a^3*b^4*c^2*n + 624*(b*x + a)^n*a^5*b^2*c*d*n + 1680*(b*x + a)^n*a^3*b^4*c^2 + 2016*(b*x + a)^n*a^5*b^2*c*d + 720*(b*x + a)^n*a^7*d^2)/(b^7*n^7 + 28*b^7*n^6 + 322*b^7*n^5 + 1960*b^7*n^4 + 6769*b^7*n^3 + 13132*b^7*n^2 + 13068*b^7*n + 5040*b^7)","B",0
356,1,1266,0,0.215336," ","integrate(x*(b*x+a)^n*(d*x^2+c)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{6} d^{2} n^{5} x^{6} + {\left(b x + a\right)}^{n} a b^{5} d^{2} n^{5} x^{5} + 15 \, {\left(b x + a\right)}^{n} b^{6} d^{2} n^{4} x^{6} + 2 \, {\left(b x + a\right)}^{n} b^{6} c d n^{5} x^{4} + 10 \, {\left(b x + a\right)}^{n} a b^{5} d^{2} n^{4} x^{5} + 85 \, {\left(b x + a\right)}^{n} b^{6} d^{2} n^{3} x^{6} + 2 \, {\left(b x + a\right)}^{n} a b^{5} c d n^{5} x^{3} + 34 \, {\left(b x + a\right)}^{n} b^{6} c d n^{4} x^{4} - 5 \, {\left(b x + a\right)}^{n} a^{2} b^{4} d^{2} n^{4} x^{4} + 35 \, {\left(b x + a\right)}^{n} a b^{5} d^{2} n^{3} x^{5} + 225 \, {\left(b x + a\right)}^{n} b^{6} d^{2} n^{2} x^{6} + {\left(b x + a\right)}^{n} b^{6} c^{2} n^{5} x^{2} + 28 \, {\left(b x + a\right)}^{n} a b^{5} c d n^{4} x^{3} + 214 \, {\left(b x + a\right)}^{n} b^{6} c d n^{3} x^{4} - 30 \, {\left(b x + a\right)}^{n} a^{2} b^{4} d^{2} n^{3} x^{4} + 50 \, {\left(b x + a\right)}^{n} a b^{5} d^{2} n^{2} x^{5} + 274 \, {\left(b x + a\right)}^{n} b^{6} d^{2} n x^{6} + {\left(b x + a\right)}^{n} a b^{5} c^{2} n^{5} x + 19 \, {\left(b x + a\right)}^{n} b^{6} c^{2} n^{4} x^{2} - 6 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c d n^{4} x^{2} + 130 \, {\left(b x + a\right)}^{n} a b^{5} c d n^{3} x^{3} + 20 \, {\left(b x + a\right)}^{n} a^{3} b^{3} d^{2} n^{3} x^{3} + 614 \, {\left(b x + a\right)}^{n} b^{6} c d n^{2} x^{4} - 55 \, {\left(b x + a\right)}^{n} a^{2} b^{4} d^{2} n^{2} x^{4} + 24 \, {\left(b x + a\right)}^{n} a b^{5} d^{2} n x^{5} + 120 \, {\left(b x + a\right)}^{n} b^{6} d^{2} x^{6} + 18 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} n^{4} x + 137 \, {\left(b x + a\right)}^{n} b^{6} c^{2} n^{3} x^{2} - 72 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c d n^{3} x^{2} + 224 \, {\left(b x + a\right)}^{n} a b^{5} c d n^{2} x^{3} + 60 \, {\left(b x + a\right)}^{n} a^{3} b^{3} d^{2} n^{2} x^{3} + 792 \, {\left(b x + a\right)}^{n} b^{6} c d n x^{4} - 30 \, {\left(b x + a\right)}^{n} a^{2} b^{4} d^{2} n x^{4} - {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} n^{4} + 119 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} n^{3} x + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c d n^{3} x + 461 \, {\left(b x + a\right)}^{n} b^{6} c^{2} n^{2} x^{2} - 246 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c d n^{2} x^{2} - 60 \, {\left(b x + a\right)}^{n} a^{4} b^{2} d^{2} n^{2} x^{2} + 120 \, {\left(b x + a\right)}^{n} a b^{5} c d n x^{3} + 40 \, {\left(b x + a\right)}^{n} a^{3} b^{3} d^{2} n x^{3} + 360 \, {\left(b x + a\right)}^{n} b^{6} c d x^{4} - 18 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} n^{3} + 342 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} n^{2} x + 132 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c d n^{2} x + 702 \, {\left(b x + a\right)}^{n} b^{6} c^{2} n x^{2} - 180 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c d n x^{2} - 60 \, {\left(b x + a\right)}^{n} a^{4} b^{2} d^{2} n x^{2} - 119 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} n^{2} - 12 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c d n^{2} + 360 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} n x + 360 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c d n x + 120 \, {\left(b x + a\right)}^{n} a^{5} b d^{2} n x + 360 \, {\left(b x + a\right)}^{n} b^{6} c^{2} x^{2} - 342 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} n - 132 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c d n - 360 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} - 360 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c d - 120 \, {\left(b x + a\right)}^{n} a^{6} d^{2}}{b^{6} n^{6} + 21 \, b^{6} n^{5} + 175 \, b^{6} n^{4} + 735 \, b^{6} n^{3} + 1624 \, b^{6} n^{2} + 1764 \, b^{6} n + 720 \, b^{6}}"," ",0,"((b*x + a)^n*b^6*d^2*n^5*x^6 + (b*x + a)^n*a*b^5*d^2*n^5*x^5 + 15*(b*x + a)^n*b^6*d^2*n^4*x^6 + 2*(b*x + a)^n*b^6*c*d*n^5*x^4 + 10*(b*x + a)^n*a*b^5*d^2*n^4*x^5 + 85*(b*x + a)^n*b^6*d^2*n^3*x^6 + 2*(b*x + a)^n*a*b^5*c*d*n^5*x^3 + 34*(b*x + a)^n*b^6*c*d*n^4*x^4 - 5*(b*x + a)^n*a^2*b^4*d^2*n^4*x^4 + 35*(b*x + a)^n*a*b^5*d^2*n^3*x^5 + 225*(b*x + a)^n*b^6*d^2*n^2*x^6 + (b*x + a)^n*b^6*c^2*n^5*x^2 + 28*(b*x + a)^n*a*b^5*c*d*n^4*x^3 + 214*(b*x + a)^n*b^6*c*d*n^3*x^4 - 30*(b*x + a)^n*a^2*b^4*d^2*n^3*x^4 + 50*(b*x + a)^n*a*b^5*d^2*n^2*x^5 + 274*(b*x + a)^n*b^6*d^2*n*x^6 + (b*x + a)^n*a*b^5*c^2*n^5*x + 19*(b*x + a)^n*b^6*c^2*n^4*x^2 - 6*(b*x + a)^n*a^2*b^4*c*d*n^4*x^2 + 130*(b*x + a)^n*a*b^5*c*d*n^3*x^3 + 20*(b*x + a)^n*a^3*b^3*d^2*n^3*x^3 + 614*(b*x + a)^n*b^6*c*d*n^2*x^4 - 55*(b*x + a)^n*a^2*b^4*d^2*n^2*x^4 + 24*(b*x + a)^n*a*b^5*d^2*n*x^5 + 120*(b*x + a)^n*b^6*d^2*x^6 + 18*(b*x + a)^n*a*b^5*c^2*n^4*x + 137*(b*x + a)^n*b^6*c^2*n^3*x^2 - 72*(b*x + a)^n*a^2*b^4*c*d*n^3*x^2 + 224*(b*x + a)^n*a*b^5*c*d*n^2*x^3 + 60*(b*x + a)^n*a^3*b^3*d^2*n^2*x^3 + 792*(b*x + a)^n*b^6*c*d*n*x^4 - 30*(b*x + a)^n*a^2*b^4*d^2*n*x^4 - (b*x + a)^n*a^2*b^4*c^2*n^4 + 119*(b*x + a)^n*a*b^5*c^2*n^3*x + 12*(b*x + a)^n*a^3*b^3*c*d*n^3*x + 461*(b*x + a)^n*b^6*c^2*n^2*x^2 - 246*(b*x + a)^n*a^2*b^4*c*d*n^2*x^2 - 60*(b*x + a)^n*a^4*b^2*d^2*n^2*x^2 + 120*(b*x + a)^n*a*b^5*c*d*n*x^3 + 40*(b*x + a)^n*a^3*b^3*d^2*n*x^3 + 360*(b*x + a)^n*b^6*c*d*x^4 - 18*(b*x + a)^n*a^2*b^4*c^2*n^3 + 342*(b*x + a)^n*a*b^5*c^2*n^2*x + 132*(b*x + a)^n*a^3*b^3*c*d*n^2*x + 702*(b*x + a)^n*b^6*c^2*n*x^2 - 180*(b*x + a)^n*a^2*b^4*c*d*n*x^2 - 60*(b*x + a)^n*a^4*b^2*d^2*n*x^2 - 119*(b*x + a)^n*a^2*b^4*c^2*n^2 - 12*(b*x + a)^n*a^4*b^2*c*d*n^2 + 360*(b*x + a)^n*a*b^5*c^2*n*x + 360*(b*x + a)^n*a^3*b^3*c*d*n*x + 120*(b*x + a)^n*a^5*b*d^2*n*x + 360*(b*x + a)^n*b^6*c^2*x^2 - 342*(b*x + a)^n*a^2*b^4*c^2*n - 132*(b*x + a)^n*a^4*b^2*c*d*n - 360*(b*x + a)^n*a^2*b^4*c^2 - 360*(b*x + a)^n*a^4*b^2*c*d - 120*(b*x + a)^n*a^6*d^2)/(b^6*n^6 + 21*b^6*n^5 + 175*b^6*n^4 + 735*b^6*n^3 + 1624*b^6*n^2 + 1764*b^6*n + 720*b^6)","B",0
357,1,851,0,0.200030," ","integrate((b*x+a)^n*(d*x^2+c)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{5} d^{2} n^{4} x^{5} + {\left(b x + a\right)}^{n} a b^{4} d^{2} n^{4} x^{4} + 10 \, {\left(b x + a\right)}^{n} b^{5} d^{2} n^{3} x^{5} + 2 \, {\left(b x + a\right)}^{n} b^{5} c d n^{4} x^{3} + 6 \, {\left(b x + a\right)}^{n} a b^{4} d^{2} n^{3} x^{4} + 35 \, {\left(b x + a\right)}^{n} b^{5} d^{2} n^{2} x^{5} + 2 \, {\left(b x + a\right)}^{n} a b^{4} c d n^{4} x^{2} + 24 \, {\left(b x + a\right)}^{n} b^{5} c d n^{3} x^{3} - 4 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d^{2} n^{3} x^{3} + 11 \, {\left(b x + a\right)}^{n} a b^{4} d^{2} n^{2} x^{4} + 50 \, {\left(b x + a\right)}^{n} b^{5} d^{2} n x^{5} + {\left(b x + a\right)}^{n} b^{5} c^{2} n^{4} x + 20 \, {\left(b x + a\right)}^{n} a b^{4} c d n^{3} x^{2} + 98 \, {\left(b x + a\right)}^{n} b^{5} c d n^{2} x^{3} - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d^{2} n^{2} x^{3} + 6 \, {\left(b x + a\right)}^{n} a b^{4} d^{2} n x^{4} + 24 \, {\left(b x + a\right)}^{n} b^{5} d^{2} x^{5} + {\left(b x + a\right)}^{n} a b^{4} c^{2} n^{4} + 14 \, {\left(b x + a\right)}^{n} b^{5} c^{2} n^{3} x - 4 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c d n^{3} x + 58 \, {\left(b x + a\right)}^{n} a b^{4} c d n^{2} x^{2} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} d^{2} n^{2} x^{2} + 156 \, {\left(b x + a\right)}^{n} b^{5} c d n x^{3} - 8 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d^{2} n x^{3} + 14 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} n^{3} + 71 \, {\left(b x + a\right)}^{n} b^{5} c^{2} n^{2} x - 36 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c d n^{2} x + 40 \, {\left(b x + a\right)}^{n} a b^{4} c d n x^{2} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} d^{2} n x^{2} + 80 \, {\left(b x + a\right)}^{n} b^{5} c d x^{3} + 71 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} n^{2} + 4 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c d n^{2} + 154 \, {\left(b x + a\right)}^{n} b^{5} c^{2} n x - 80 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c d n x - 24 \, {\left(b x + a\right)}^{n} a^{4} b d^{2} n x + 154 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} n + 36 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c d n + 120 \, {\left(b x + a\right)}^{n} b^{5} c^{2} x + 120 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} + 80 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c d + 24 \, {\left(b x + a\right)}^{n} a^{5} d^{2}}{b^{5} n^{5} + 15 \, b^{5} n^{4} + 85 \, b^{5} n^{3} + 225 \, b^{5} n^{2} + 274 \, b^{5} n + 120 \, b^{5}}"," ",0,"((b*x + a)^n*b^5*d^2*n^4*x^5 + (b*x + a)^n*a*b^4*d^2*n^4*x^4 + 10*(b*x + a)^n*b^5*d^2*n^3*x^5 + 2*(b*x + a)^n*b^5*c*d*n^4*x^3 + 6*(b*x + a)^n*a*b^4*d^2*n^3*x^4 + 35*(b*x + a)^n*b^5*d^2*n^2*x^5 + 2*(b*x + a)^n*a*b^4*c*d*n^4*x^2 + 24*(b*x + a)^n*b^5*c*d*n^3*x^3 - 4*(b*x + a)^n*a^2*b^3*d^2*n^3*x^3 + 11*(b*x + a)^n*a*b^4*d^2*n^2*x^4 + 50*(b*x + a)^n*b^5*d^2*n*x^5 + (b*x + a)^n*b^5*c^2*n^4*x + 20*(b*x + a)^n*a*b^4*c*d*n^3*x^2 + 98*(b*x + a)^n*b^5*c*d*n^2*x^3 - 12*(b*x + a)^n*a^2*b^3*d^2*n^2*x^3 + 6*(b*x + a)^n*a*b^4*d^2*n*x^4 + 24*(b*x + a)^n*b^5*d^2*x^5 + (b*x + a)^n*a*b^4*c^2*n^4 + 14*(b*x + a)^n*b^5*c^2*n^3*x - 4*(b*x + a)^n*a^2*b^3*c*d*n^3*x + 58*(b*x + a)^n*a*b^4*c*d*n^2*x^2 + 12*(b*x + a)^n*a^3*b^2*d^2*n^2*x^2 + 156*(b*x + a)^n*b^5*c*d*n*x^3 - 8*(b*x + a)^n*a^2*b^3*d^2*n*x^3 + 14*(b*x + a)^n*a*b^4*c^2*n^3 + 71*(b*x + a)^n*b^5*c^2*n^2*x - 36*(b*x + a)^n*a^2*b^3*c*d*n^2*x + 40*(b*x + a)^n*a*b^4*c*d*n*x^2 + 12*(b*x + a)^n*a^3*b^2*d^2*n*x^2 + 80*(b*x + a)^n*b^5*c*d*x^3 + 71*(b*x + a)^n*a*b^4*c^2*n^2 + 4*(b*x + a)^n*a^3*b^2*c*d*n^2 + 154*(b*x + a)^n*b^5*c^2*n*x - 80*(b*x + a)^n*a^2*b^3*c*d*n*x - 24*(b*x + a)^n*a^4*b*d^2*n*x + 154*(b*x + a)^n*a*b^4*c^2*n + 36*(b*x + a)^n*a^3*b^2*c*d*n + 120*(b*x + a)^n*b^5*c^2*x + 120*(b*x + a)^n*a*b^4*c^2 + 80*(b*x + a)^n*a^3*b^2*c*d + 24*(b*x + a)^n*a^5*d^2)/(b^5*n^5 + 15*b^5*n^4 + 85*b^5*n^3 + 225*b^5*n^2 + 274*b^5*n + 120*b^5)","B",0
358,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x^2+c)^2/x,x, algorithm=""giac"")","\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
359,1,3713,0,0.303866," ","integrate(x^2*(b*x+a)^n*(d*x^2+c)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{9} d^{3} n^{8} x^{9} + {\left(b x + a\right)}^{n} a b^{8} d^{3} n^{8} x^{8} + 36 \, {\left(b x + a\right)}^{n} b^{9} d^{3} n^{7} x^{9} + 3 \, {\left(b x + a\right)}^{n} b^{9} c d^{2} n^{8} x^{7} + 28 \, {\left(b x + a\right)}^{n} a b^{8} d^{3} n^{7} x^{8} + 546 \, {\left(b x + a\right)}^{n} b^{9} d^{3} n^{6} x^{9} + 3 \, {\left(b x + a\right)}^{n} a b^{8} c d^{2} n^{8} x^{6} + 114 \, {\left(b x + a\right)}^{n} b^{9} c d^{2} n^{7} x^{7} - 8 \, {\left(b x + a\right)}^{n} a^{2} b^{7} d^{3} n^{7} x^{7} + 322 \, {\left(b x + a\right)}^{n} a b^{8} d^{3} n^{6} x^{8} + 4536 \, {\left(b x + a\right)}^{n} b^{9} d^{3} n^{5} x^{9} + 3 \, {\left(b x + a\right)}^{n} b^{9} c^{2} d n^{8} x^{5} + 96 \, {\left(b x + a\right)}^{n} a b^{8} c d^{2} n^{7} x^{6} + 1812 \, {\left(b x + a\right)}^{n} b^{9} c d^{2} n^{6} x^{7} - 168 \, {\left(b x + a\right)}^{n} a^{2} b^{7} d^{3} n^{6} x^{7} + 1960 \, {\left(b x + a\right)}^{n} a b^{8} d^{3} n^{5} x^{8} + 22449 \, {\left(b x + a\right)}^{n} b^{9} d^{3} n^{4} x^{9} + 3 \, {\left(b x + a\right)}^{n} a b^{8} c^{2} d n^{8} x^{4} + 120 \, {\left(b x + a\right)}^{n} b^{9} c^{2} d n^{7} x^{5} - 18 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c d^{2} n^{7} x^{5} + 1236 \, {\left(b x + a\right)}^{n} a b^{8} c d^{2} n^{6} x^{6} + 56 \, {\left(b x + a\right)}^{n} a^{3} b^{6} d^{3} n^{6} x^{6} + 15666 \, {\left(b x + a\right)}^{n} b^{9} c d^{2} n^{5} x^{7} - 1400 \, {\left(b x + a\right)}^{n} a^{2} b^{7} d^{3} n^{5} x^{7} + 6769 \, {\left(b x + a\right)}^{n} a b^{8} d^{3} n^{4} x^{8} + 67284 \, {\left(b x + a\right)}^{n} b^{9} d^{3} n^{3} x^{9} + {\left(b x + a\right)}^{n} b^{9} c^{3} n^{8} x^{3} + 108 \, {\left(b x + a\right)}^{n} a b^{8} c^{2} d n^{7} x^{4} + 2010 \, {\left(b x + a\right)}^{n} b^{9} c^{2} d n^{6} x^{5} - 486 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c d^{2} n^{6} x^{5} + 8250 \, {\left(b x + a\right)}^{n} a b^{8} c d^{2} n^{5} x^{6} + 840 \, {\left(b x + a\right)}^{n} a^{3} b^{6} d^{3} n^{5} x^{6} + 80157 \, {\left(b x + a\right)}^{n} b^{9} c d^{2} n^{4} x^{7} - 5880 \, {\left(b x + a\right)}^{n} a^{2} b^{7} d^{3} n^{4} x^{7} + 13132 \, {\left(b x + a\right)}^{n} a b^{8} d^{3} n^{3} x^{8} + 118124 \, {\left(b x + a\right)}^{n} b^{9} d^{3} n^{2} x^{9} + {\left(b x + a\right)}^{n} a b^{8} c^{3} n^{8} x^{2} + 42 \, {\left(b x + a\right)}^{n} b^{9} c^{3} n^{7} x^{3} - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{2} d n^{7} x^{3} + 1578 \, {\left(b x + a\right)}^{n} a b^{8} c^{2} d n^{6} x^{4} + 90 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c d^{2} n^{6} x^{4} + 18300 \, {\left(b x + a\right)}^{n} b^{9} c^{2} d n^{5} x^{5} - 4986 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c d^{2} n^{5} x^{5} - 336 \, {\left(b x + a\right)}^{n} a^{4} b^{5} d^{3} n^{5} x^{5} + 30657 \, {\left(b x + a\right)}^{n} a b^{8} c d^{2} n^{4} x^{6} + 4760 \, {\left(b x + a\right)}^{n} a^{3} b^{6} d^{3} n^{4} x^{6} + 246876 \, {\left(b x + a\right)}^{n} b^{9} c d^{2} n^{3} x^{7} - 12992 \, {\left(b x + a\right)}^{n} a^{2} b^{7} d^{3} n^{3} x^{7} + 13068 \, {\left(b x + a\right)}^{n} a b^{8} d^{3} n^{2} x^{8} + 109584 \, {\left(b x + a\right)}^{n} b^{9} d^{3} n x^{9} + 40 \, {\left(b x + a\right)}^{n} a b^{8} c^{3} n^{7} x^{2} + 744 \, {\left(b x + a\right)}^{n} b^{9} c^{3} n^{6} x^{3} - 396 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{2} d n^{6} x^{3} + 11988 \, {\left(b x + a\right)}^{n} a b^{8} c^{2} d n^{5} x^{4} + 2070 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c d^{2} n^{5} x^{4} + 98319 \, {\left(b x + a\right)}^{n} b^{9} c^{2} d n^{4} x^{5} - 24570 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c d^{2} n^{4} x^{5} - 3360 \, {\left(b x + a\right)}^{n} a^{4} b^{5} d^{3} n^{4} x^{5} + 62934 \, {\left(b x + a\right)}^{n} a b^{8} c d^{2} n^{3} x^{6} + 12600 \, {\left(b x + a\right)}^{n} a^{3} b^{6} d^{3} n^{3} x^{6} + 442908 \, {\left(b x + a\right)}^{n} b^{9} c d^{2} n^{2} x^{7} - 14112 \, {\left(b x + a\right)}^{n} a^{2} b^{7} d^{3} n^{2} x^{7} + 5040 \, {\left(b x + a\right)}^{n} a b^{8} d^{3} n x^{8} + 40320 \, {\left(b x + a\right)}^{n} b^{9} d^{3} x^{9} - 2 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{3} n^{7} x + 664 \, {\left(b x + a\right)}^{n} a b^{8} c^{3} n^{6} x^{2} + 36 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{2} d n^{6} x^{2} + 7218 \, {\left(b x + a\right)}^{n} b^{9} c^{3} n^{5} x^{3} - 5124 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{2} d n^{5} x^{3} - 360 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c d^{2} n^{5} x^{3} + 50367 \, {\left(b x + a\right)}^{n} a b^{8} c^{2} d n^{4} x^{4} + 16650 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c d^{2} n^{4} x^{4} + 1680 \, {\left(b x + a\right)}^{n} a^{5} b^{4} d^{3} n^{4} x^{4} + 316380 \, {\left(b x + a\right)}^{n} b^{9} c^{2} d n^{3} x^{5} - 61092 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c d^{2} n^{3} x^{5} - 11760 \, {\left(b x + a\right)}^{n} a^{4} b^{5} d^{3} n^{3} x^{5} + 65304 \, {\left(b x + a\right)}^{n} a b^{8} c d^{2} n^{2} x^{6} + 15344 \, {\left(b x + a\right)}^{n} a^{3} b^{6} d^{3} n^{2} x^{6} + 417744 \, {\left(b x + a\right)}^{n} b^{9} c d^{2} n x^{7} - 5760 \, {\left(b x + a\right)}^{n} a^{2} b^{7} d^{3} n x^{7} - 78 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{3} n^{6} x + 5890 \, {\left(b x + a\right)}^{n} a b^{8} c^{3} n^{5} x^{2} + 1116 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{2} d n^{5} x^{2} + 41619 \, {\left(b x + a\right)}^{n} b^{9} c^{3} n^{4} x^{3} - 32580 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{2} d n^{4} x^{3} - 7200 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c d^{2} n^{4} x^{3} + 114912 \, {\left(b x + a\right)}^{n} a b^{8} c^{2} d n^{3} x^{4} + 56250 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c d^{2} n^{3} x^{4} + 10080 \, {\left(b x + a\right)}^{n} a^{5} b^{4} d^{3} n^{3} x^{4} + 589140 \, {\left(b x + a\right)}^{n} b^{9} c^{2} d n^{2} x^{5} - 72144 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c d^{2} n^{2} x^{5} - 16800 \, {\left(b x + a\right)}^{n} a^{4} b^{5} d^{3} n^{2} x^{5} + 25920 \, {\left(b x + a\right)}^{n} a b^{8} c d^{2} n x^{6} + 6720 \, {\left(b x + a\right)}^{n} a^{3} b^{6} d^{3} n x^{6} + 155520 \, {\left(b x + a\right)}^{n} b^{9} c d^{2} x^{7} + 2 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{3} n^{6} - 1250 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{3} n^{5} x - 72 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c^{2} d n^{5} x + 29839 \, {\left(b x + a\right)}^{n} a b^{8} c^{3} n^{4} x^{2} + 13140 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{2} d n^{4} x^{2} + 1080 \, {\left(b x + a\right)}^{n} a^{5} b^{4} c d^{2} n^{4} x^{2} + 144468 \, {\left(b x + a\right)}^{n} b^{9} c^{3} n^{3} x^{3} - 103728 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{2} d n^{3} x^{3} - 45000 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c d^{2} n^{3} x^{3} - 6720 \, {\left(b x + a\right)}^{n} a^{6} b^{3} d^{3} n^{3} x^{3} + 129492 \, {\left(b x + a\right)}^{n} a b^{8} c^{2} d n^{2} x^{4} + 80460 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c d^{2} n^{2} x^{4} + 18480 \, {\left(b x + a\right)}^{n} a^{5} b^{4} d^{3} n^{2} x^{4} + 572400 \, {\left(b x + a\right)}^{n} b^{9} c^{2} d n x^{5} - 31104 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c d^{2} n x^{5} - 8064 \, {\left(b x + a\right)}^{n} a^{4} b^{5} d^{3} n x^{5} + 78 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{3} n^{5} - 10530 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{3} n^{4} x - 2160 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c^{2} d n^{4} x + 84790 \, {\left(b x + a\right)}^{n} a b^{8} c^{3} n^{3} x^{2} + 71460 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{2} d n^{3} x^{2} + 19440 \, {\left(b x + a\right)}^{n} a^{5} b^{4} c d^{2} n^{3} x^{2} + 290276 \, {\left(b x + a\right)}^{n} b^{9} c^{3} n^{2} x^{3} - 148464 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{2} d n^{2} x^{3} - 90000 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c d^{2} n^{2} x^{3} - 20160 \, {\left(b x + a\right)}^{n} a^{6} b^{3} d^{3} n^{2} x^{3} + 54432 \, {\left(b x + a\right)}^{n} a b^{8} c^{2} d n x^{4} + 38880 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c d^{2} n x^{4} + 10080 \, {\left(b x + a\right)}^{n} a^{5} b^{4} d^{3} n x^{4} + 217728 \, {\left(b x + a\right)}^{n} b^{9} c^{2} d x^{5} + 1250 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{3} n^{4} + 72 \, {\left(b x + a\right)}^{n} a^{5} b^{4} c^{2} d n^{4} - 49148 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{3} n^{3} x - 24120 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c^{2} d n^{3} x - 2160 \, {\left(b x + a\right)}^{n} a^{6} b^{3} c d^{2} n^{3} x + 120696 \, {\left(b x + a\right)}^{n} a b^{8} c^{3} n^{2} x^{2} + 168264 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{2} d n^{2} x^{2} + 96120 \, {\left(b x + a\right)}^{n} a^{5} b^{4} c d^{2} n^{2} x^{2} + 20160 \, {\left(b x + a\right)}^{n} a^{7} b^{2} d^{3} n^{2} x^{2} + 301872 \, {\left(b x + a\right)}^{n} b^{9} c^{3} n x^{3} - 72576 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{2} d n x^{3} - 51840 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c d^{2} n x^{3} - 13440 \, {\left(b x + a\right)}^{n} a^{6} b^{3} d^{3} n x^{3} + 10530 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{3} n^{3} + 2160 \, {\left(b x + a\right)}^{n} a^{5} b^{4} c^{2} d n^{3} - 120432 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{3} n^{2} x - 118800 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c^{2} d n^{2} x - 36720 \, {\left(b x + a\right)}^{n} a^{6} b^{3} c d^{2} n^{2} x + 60480 \, {\left(b x + a\right)}^{n} a b^{8} c^{3} n x^{2} + 108864 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{2} d n x^{2} + 77760 \, {\left(b x + a\right)}^{n} a^{5} b^{4} c d^{2} n x^{2} + 20160 \, {\left(b x + a\right)}^{n} a^{7} b^{2} d^{3} n x^{2} + 120960 \, {\left(b x + a\right)}^{n} b^{9} c^{3} x^{3} + 49148 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{3} n^{2} + 24120 \, {\left(b x + a\right)}^{n} a^{5} b^{4} c^{2} d n^{2} + 2160 \, {\left(b x + a\right)}^{n} a^{7} b^{2} c d^{2} n^{2} - 120960 \, {\left(b x + a\right)}^{n} a^{2} b^{7} c^{3} n x - 217728 \, {\left(b x + a\right)}^{n} a^{4} b^{5} c^{2} d n x - 155520 \, {\left(b x + a\right)}^{n} a^{6} b^{3} c d^{2} n x - 40320 \, {\left(b x + a\right)}^{n} a^{8} b d^{3} n x + 120432 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{3} n + 118800 \, {\left(b x + a\right)}^{n} a^{5} b^{4} c^{2} d n + 36720 \, {\left(b x + a\right)}^{n} a^{7} b^{2} c d^{2} n + 120960 \, {\left(b x + a\right)}^{n} a^{3} b^{6} c^{3} + 217728 \, {\left(b x + a\right)}^{n} a^{5} b^{4} c^{2} d + 155520 \, {\left(b x + a\right)}^{n} a^{7} b^{2} c d^{2} + 40320 \, {\left(b x + a\right)}^{n} a^{9} d^{3}}{b^{9} n^{9} + 45 \, b^{9} n^{8} + 870 \, b^{9} n^{7} + 9450 \, b^{9} n^{6} + 63273 \, b^{9} n^{5} + 269325 \, b^{9} n^{4} + 723680 \, b^{9} n^{3} + 1172700 \, b^{9} n^{2} + 1026576 \, b^{9} n + 362880 \, b^{9}}"," ",0,"((b*x + a)^n*b^9*d^3*n^8*x^9 + (b*x + a)^n*a*b^8*d^3*n^8*x^8 + 36*(b*x + a)^n*b^9*d^3*n^7*x^9 + 3*(b*x + a)^n*b^9*c*d^2*n^8*x^7 + 28*(b*x + a)^n*a*b^8*d^3*n^7*x^8 + 546*(b*x + a)^n*b^9*d^3*n^6*x^9 + 3*(b*x + a)^n*a*b^8*c*d^2*n^8*x^6 + 114*(b*x + a)^n*b^9*c*d^2*n^7*x^7 - 8*(b*x + a)^n*a^2*b^7*d^3*n^7*x^7 + 322*(b*x + a)^n*a*b^8*d^3*n^6*x^8 + 4536*(b*x + a)^n*b^9*d^3*n^5*x^9 + 3*(b*x + a)^n*b^9*c^2*d*n^8*x^5 + 96*(b*x + a)^n*a*b^8*c*d^2*n^7*x^6 + 1812*(b*x + a)^n*b^9*c*d^2*n^6*x^7 - 168*(b*x + a)^n*a^2*b^7*d^3*n^6*x^7 + 1960*(b*x + a)^n*a*b^8*d^3*n^5*x^8 + 22449*(b*x + a)^n*b^9*d^3*n^4*x^9 + 3*(b*x + a)^n*a*b^8*c^2*d*n^8*x^4 + 120*(b*x + a)^n*b^9*c^2*d*n^7*x^5 - 18*(b*x + a)^n*a^2*b^7*c*d^2*n^7*x^5 + 1236*(b*x + a)^n*a*b^8*c*d^2*n^6*x^6 + 56*(b*x + a)^n*a^3*b^6*d^3*n^6*x^6 + 15666*(b*x + a)^n*b^9*c*d^2*n^5*x^7 - 1400*(b*x + a)^n*a^2*b^7*d^3*n^5*x^7 + 6769*(b*x + a)^n*a*b^8*d^3*n^4*x^8 + 67284*(b*x + a)^n*b^9*d^3*n^3*x^9 + (b*x + a)^n*b^9*c^3*n^8*x^3 + 108*(b*x + a)^n*a*b^8*c^2*d*n^7*x^4 + 2010*(b*x + a)^n*b^9*c^2*d*n^6*x^5 - 486*(b*x + a)^n*a^2*b^7*c*d^2*n^6*x^5 + 8250*(b*x + a)^n*a*b^8*c*d^2*n^5*x^6 + 840*(b*x + a)^n*a^3*b^6*d^3*n^5*x^6 + 80157*(b*x + a)^n*b^9*c*d^2*n^4*x^7 - 5880*(b*x + a)^n*a^2*b^7*d^3*n^4*x^7 + 13132*(b*x + a)^n*a*b^8*d^3*n^3*x^8 + 118124*(b*x + a)^n*b^9*d^3*n^2*x^9 + (b*x + a)^n*a*b^8*c^3*n^8*x^2 + 42*(b*x + a)^n*b^9*c^3*n^7*x^3 - 12*(b*x + a)^n*a^2*b^7*c^2*d*n^7*x^3 + 1578*(b*x + a)^n*a*b^8*c^2*d*n^6*x^4 + 90*(b*x + a)^n*a^3*b^6*c*d^2*n^6*x^4 + 18300*(b*x + a)^n*b^9*c^2*d*n^5*x^5 - 4986*(b*x + a)^n*a^2*b^7*c*d^2*n^5*x^5 - 336*(b*x + a)^n*a^4*b^5*d^3*n^5*x^5 + 30657*(b*x + a)^n*a*b^8*c*d^2*n^4*x^6 + 4760*(b*x + a)^n*a^3*b^6*d^3*n^4*x^6 + 246876*(b*x + a)^n*b^9*c*d^2*n^3*x^7 - 12992*(b*x + a)^n*a^2*b^7*d^3*n^3*x^7 + 13068*(b*x + a)^n*a*b^8*d^3*n^2*x^8 + 109584*(b*x + a)^n*b^9*d^3*n*x^9 + 40*(b*x + a)^n*a*b^8*c^3*n^7*x^2 + 744*(b*x + a)^n*b^9*c^3*n^6*x^3 - 396*(b*x + a)^n*a^2*b^7*c^2*d*n^6*x^3 + 11988*(b*x + a)^n*a*b^8*c^2*d*n^5*x^4 + 2070*(b*x + a)^n*a^3*b^6*c*d^2*n^5*x^4 + 98319*(b*x + a)^n*b^9*c^2*d*n^4*x^5 - 24570*(b*x + a)^n*a^2*b^7*c*d^2*n^4*x^5 - 3360*(b*x + a)^n*a^4*b^5*d^3*n^4*x^5 + 62934*(b*x + a)^n*a*b^8*c*d^2*n^3*x^6 + 12600*(b*x + a)^n*a^3*b^6*d^3*n^3*x^6 + 442908*(b*x + a)^n*b^9*c*d^2*n^2*x^7 - 14112*(b*x + a)^n*a^2*b^7*d^3*n^2*x^7 + 5040*(b*x + a)^n*a*b^8*d^3*n*x^8 + 40320*(b*x + a)^n*b^9*d^3*x^9 - 2*(b*x + a)^n*a^2*b^7*c^3*n^7*x + 664*(b*x + a)^n*a*b^8*c^3*n^6*x^2 + 36*(b*x + a)^n*a^3*b^6*c^2*d*n^6*x^2 + 7218*(b*x + a)^n*b^9*c^3*n^5*x^3 - 5124*(b*x + a)^n*a^2*b^7*c^2*d*n^5*x^3 - 360*(b*x + a)^n*a^4*b^5*c*d^2*n^5*x^3 + 50367*(b*x + a)^n*a*b^8*c^2*d*n^4*x^4 + 16650*(b*x + a)^n*a^3*b^6*c*d^2*n^4*x^4 + 1680*(b*x + a)^n*a^5*b^4*d^3*n^4*x^4 + 316380*(b*x + a)^n*b^9*c^2*d*n^3*x^5 - 61092*(b*x + a)^n*a^2*b^7*c*d^2*n^3*x^5 - 11760*(b*x + a)^n*a^4*b^5*d^3*n^3*x^5 + 65304*(b*x + a)^n*a*b^8*c*d^2*n^2*x^6 + 15344*(b*x + a)^n*a^3*b^6*d^3*n^2*x^6 + 417744*(b*x + a)^n*b^9*c*d^2*n*x^7 - 5760*(b*x + a)^n*a^2*b^7*d^3*n*x^7 - 78*(b*x + a)^n*a^2*b^7*c^3*n^6*x + 5890*(b*x + a)^n*a*b^8*c^3*n^5*x^2 + 1116*(b*x + a)^n*a^3*b^6*c^2*d*n^5*x^2 + 41619*(b*x + a)^n*b^9*c^3*n^4*x^3 - 32580*(b*x + a)^n*a^2*b^7*c^2*d*n^4*x^3 - 7200*(b*x + a)^n*a^4*b^5*c*d^2*n^4*x^3 + 114912*(b*x + a)^n*a*b^8*c^2*d*n^3*x^4 + 56250*(b*x + a)^n*a^3*b^6*c*d^2*n^3*x^4 + 10080*(b*x + a)^n*a^5*b^4*d^3*n^3*x^4 + 589140*(b*x + a)^n*b^9*c^2*d*n^2*x^5 - 72144*(b*x + a)^n*a^2*b^7*c*d^2*n^2*x^5 - 16800*(b*x + a)^n*a^4*b^5*d^3*n^2*x^5 + 25920*(b*x + a)^n*a*b^8*c*d^2*n*x^6 + 6720*(b*x + a)^n*a^3*b^6*d^3*n*x^6 + 155520*(b*x + a)^n*b^9*c*d^2*x^7 + 2*(b*x + a)^n*a^3*b^6*c^3*n^6 - 1250*(b*x + a)^n*a^2*b^7*c^3*n^5*x - 72*(b*x + a)^n*a^4*b^5*c^2*d*n^5*x + 29839*(b*x + a)^n*a*b^8*c^3*n^4*x^2 + 13140*(b*x + a)^n*a^3*b^6*c^2*d*n^4*x^2 + 1080*(b*x + a)^n*a^5*b^4*c*d^2*n^4*x^2 + 144468*(b*x + a)^n*b^9*c^3*n^3*x^3 - 103728*(b*x + a)^n*a^2*b^7*c^2*d*n^3*x^3 - 45000*(b*x + a)^n*a^4*b^5*c*d^2*n^3*x^3 - 6720*(b*x + a)^n*a^6*b^3*d^3*n^3*x^3 + 129492*(b*x + a)^n*a*b^8*c^2*d*n^2*x^4 + 80460*(b*x + a)^n*a^3*b^6*c*d^2*n^2*x^4 + 18480*(b*x + a)^n*a^5*b^4*d^3*n^2*x^4 + 572400*(b*x + a)^n*b^9*c^2*d*n*x^5 - 31104*(b*x + a)^n*a^2*b^7*c*d^2*n*x^5 - 8064*(b*x + a)^n*a^4*b^5*d^3*n*x^5 + 78*(b*x + a)^n*a^3*b^6*c^3*n^5 - 10530*(b*x + a)^n*a^2*b^7*c^3*n^4*x - 2160*(b*x + a)^n*a^4*b^5*c^2*d*n^4*x + 84790*(b*x + a)^n*a*b^8*c^3*n^3*x^2 + 71460*(b*x + a)^n*a^3*b^6*c^2*d*n^3*x^2 + 19440*(b*x + a)^n*a^5*b^4*c*d^2*n^3*x^2 + 290276*(b*x + a)^n*b^9*c^3*n^2*x^3 - 148464*(b*x + a)^n*a^2*b^7*c^2*d*n^2*x^3 - 90000*(b*x + a)^n*a^4*b^5*c*d^2*n^2*x^3 - 20160*(b*x + a)^n*a^6*b^3*d^3*n^2*x^3 + 54432*(b*x + a)^n*a*b^8*c^2*d*n*x^4 + 38880*(b*x + a)^n*a^3*b^6*c*d^2*n*x^4 + 10080*(b*x + a)^n*a^5*b^4*d^3*n*x^4 + 217728*(b*x + a)^n*b^9*c^2*d*x^5 + 1250*(b*x + a)^n*a^3*b^6*c^3*n^4 + 72*(b*x + a)^n*a^5*b^4*c^2*d*n^4 - 49148*(b*x + a)^n*a^2*b^7*c^3*n^3*x - 24120*(b*x + a)^n*a^4*b^5*c^2*d*n^3*x - 2160*(b*x + a)^n*a^6*b^3*c*d^2*n^3*x + 120696*(b*x + a)^n*a*b^8*c^3*n^2*x^2 + 168264*(b*x + a)^n*a^3*b^6*c^2*d*n^2*x^2 + 96120*(b*x + a)^n*a^5*b^4*c*d^2*n^2*x^2 + 20160*(b*x + a)^n*a^7*b^2*d^3*n^2*x^2 + 301872*(b*x + a)^n*b^9*c^3*n*x^3 - 72576*(b*x + a)^n*a^2*b^7*c^2*d*n*x^3 - 51840*(b*x + a)^n*a^4*b^5*c*d^2*n*x^3 - 13440*(b*x + a)^n*a^6*b^3*d^3*n*x^3 + 10530*(b*x + a)^n*a^3*b^6*c^3*n^3 + 2160*(b*x + a)^n*a^5*b^4*c^2*d*n^3 - 120432*(b*x + a)^n*a^2*b^7*c^3*n^2*x - 118800*(b*x + a)^n*a^4*b^5*c^2*d*n^2*x - 36720*(b*x + a)^n*a^6*b^3*c*d^2*n^2*x + 60480*(b*x + a)^n*a*b^8*c^3*n*x^2 + 108864*(b*x + a)^n*a^3*b^6*c^2*d*n*x^2 + 77760*(b*x + a)^n*a^5*b^4*c*d^2*n*x^2 + 20160*(b*x + a)^n*a^7*b^2*d^3*n*x^2 + 120960*(b*x + a)^n*b^9*c^3*x^3 + 49148*(b*x + a)^n*a^3*b^6*c^3*n^2 + 24120*(b*x + a)^n*a^5*b^4*c^2*d*n^2 + 2160*(b*x + a)^n*a^7*b^2*c*d^2*n^2 - 120960*(b*x + a)^n*a^2*b^7*c^3*n*x - 217728*(b*x + a)^n*a^4*b^5*c^2*d*n*x - 155520*(b*x + a)^n*a^6*b^3*c*d^2*n*x - 40320*(b*x + a)^n*a^8*b*d^3*n*x + 120432*(b*x + a)^n*a^3*b^6*c^3*n + 118800*(b*x + a)^n*a^5*b^4*c^2*d*n + 36720*(b*x + a)^n*a^7*b^2*c*d^2*n + 120960*(b*x + a)^n*a^3*b^6*c^3 + 217728*(b*x + a)^n*a^5*b^4*c^2*d + 155520*(b*x + a)^n*a^7*b^2*c*d^2 + 40320*(b*x + a)^n*a^9*d^3)/(b^9*n^9 + 45*b^9*n^8 + 870*b^9*n^7 + 9450*b^9*n^6 + 63273*b^9*n^5 + 269325*b^9*n^4 + 723680*b^9*n^3 + 1172700*b^9*n^2 + 1026576*b^9*n + 362880*b^9)","B",0
360,1,2851,0,0.252903," ","integrate(x*(b*x+a)^n*(d*x^2+c)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{8} d^{3} n^{7} x^{8} + {\left(b x + a\right)}^{n} a b^{7} d^{3} n^{7} x^{7} + 28 \, {\left(b x + a\right)}^{n} b^{8} d^{3} n^{6} x^{8} + 3 \, {\left(b x + a\right)}^{n} b^{8} c d^{2} n^{7} x^{6} + 21 \, {\left(b x + a\right)}^{n} a b^{7} d^{3} n^{6} x^{7} + 322 \, {\left(b x + a\right)}^{n} b^{8} d^{3} n^{5} x^{8} + 3 \, {\left(b x + a\right)}^{n} a b^{7} c d^{2} n^{7} x^{5} + 90 \, {\left(b x + a\right)}^{n} b^{8} c d^{2} n^{6} x^{6} - 7 \, {\left(b x + a\right)}^{n} a^{2} b^{6} d^{3} n^{6} x^{6} + 175 \, {\left(b x + a\right)}^{n} a b^{7} d^{3} n^{5} x^{7} + 1960 \, {\left(b x + a\right)}^{n} b^{8} d^{3} n^{4} x^{8} + 3 \, {\left(b x + a\right)}^{n} b^{8} c^{2} d n^{7} x^{4} + 75 \, {\left(b x + a\right)}^{n} a b^{7} c d^{2} n^{6} x^{5} + 1098 \, {\left(b x + a\right)}^{n} b^{8} c d^{2} n^{5} x^{6} - 105 \, {\left(b x + a\right)}^{n} a^{2} b^{6} d^{3} n^{5} x^{6} + 735 \, {\left(b x + a\right)}^{n} a b^{7} d^{3} n^{4} x^{7} + 6769 \, {\left(b x + a\right)}^{n} b^{8} d^{3} n^{3} x^{8} + 3 \, {\left(b x + a\right)}^{n} a b^{7} c^{2} d n^{7} x^{3} + 96 \, {\left(b x + a\right)}^{n} b^{8} c^{2} d n^{6} x^{4} - 15 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c d^{2} n^{6} x^{4} + 723 \, {\left(b x + a\right)}^{n} a b^{7} c d^{2} n^{5} x^{5} + 42 \, {\left(b x + a\right)}^{n} a^{3} b^{5} d^{3} n^{5} x^{5} + 7020 \, {\left(b x + a\right)}^{n} b^{8} c d^{2} n^{4} x^{6} - 595 \, {\left(b x + a\right)}^{n} a^{2} b^{6} d^{3} n^{4} x^{6} + 1624 \, {\left(b x + a\right)}^{n} a b^{7} d^{3} n^{3} x^{7} + 13132 \, {\left(b x + a\right)}^{n} b^{8} d^{3} n^{2} x^{8} + {\left(b x + a\right)}^{n} b^{8} c^{3} n^{7} x^{2} + 87 \, {\left(b x + a\right)}^{n} a b^{7} c^{2} d n^{6} x^{3} + 1254 \, {\left(b x + a\right)}^{n} b^{8} c^{2} d n^{5} x^{4} - 315 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c d^{2} n^{5} x^{4} + 3405 \, {\left(b x + a\right)}^{n} a b^{7} c d^{2} n^{4} x^{5} + 420 \, {\left(b x + a\right)}^{n} a^{3} b^{5} d^{3} n^{4} x^{5} + 25227 \, {\left(b x + a\right)}^{n} b^{8} c d^{2} n^{3} x^{6} - 1575 \, {\left(b x + a\right)}^{n} a^{2} b^{6} d^{3} n^{3} x^{6} + 1764 \, {\left(b x + a\right)}^{n} a b^{7} d^{3} n^{2} x^{7} + 13068 \, {\left(b x + a\right)}^{n} b^{8} d^{3} n x^{8} + {\left(b x + a\right)}^{n} a b^{7} c^{3} n^{7} x + 34 \, {\left(b x + a\right)}^{n} b^{8} c^{3} n^{6} x^{2} - 9 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{2} d n^{6} x^{2} + 993 \, {\left(b x + a\right)}^{n} a b^{7} c^{2} d n^{5} x^{3} + 60 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c d^{2} n^{5} x^{3} + 8592 \, {\left(b x + a\right)}^{n} b^{8} c^{2} d n^{4} x^{4} - 2355 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c d^{2} n^{4} x^{4} - 210 \, {\left(b x + a\right)}^{n} a^{4} b^{4} d^{3} n^{4} x^{4} + 8202 \, {\left(b x + a\right)}^{n} a b^{7} c d^{2} n^{3} x^{5} + 1470 \, {\left(b x + a\right)}^{n} a^{3} b^{5} d^{3} n^{3} x^{5} + 50490 \, {\left(b x + a\right)}^{n} b^{8} c d^{2} n^{2} x^{6} - 1918 \, {\left(b x + a\right)}^{n} a^{2} b^{6} d^{3} n^{2} x^{6} + 720 \, {\left(b x + a\right)}^{n} a b^{7} d^{3} n x^{7} + 5040 \, {\left(b x + a\right)}^{n} b^{8} d^{3} x^{8} + 33 \, {\left(b x + a\right)}^{n} a b^{7} c^{3} n^{6} x + 478 \, {\left(b x + a\right)}^{n} b^{8} c^{3} n^{5} x^{2} - 243 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{2} d n^{5} x^{2} + 5613 \, {\left(b x + a\right)}^{n} a b^{7} c^{2} d n^{4} x^{3} + 1080 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c d^{2} n^{4} x^{3} + 32979 \, {\left(b x + a\right)}^{n} b^{8} c^{2} d n^{3} x^{4} - 7605 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c d^{2} n^{3} x^{4} - 1260 \, {\left(b x + a\right)}^{n} a^{4} b^{4} d^{3} n^{3} x^{4} + 9480 \, {\left(b x + a\right)}^{n} a b^{7} c d^{2} n^{2} x^{5} + 2100 \, {\left(b x + a\right)}^{n} a^{3} b^{5} d^{3} n^{2} x^{5} + 51432 \, {\left(b x + a\right)}^{n} b^{8} c d^{2} n x^{6} - 840 \, {\left(b x + a\right)}^{n} a^{2} b^{6} d^{3} n x^{6} - {\left(b x + a\right)}^{n} a^{2} b^{6} c^{3} n^{6} + 445 \, {\left(b x + a\right)}^{n} a b^{7} c^{3} n^{5} x + 18 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c^{2} d n^{5} x + 3580 \, {\left(b x + a\right)}^{n} b^{8} c^{3} n^{4} x^{2} - 2493 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{2} d n^{4} x^{2} - 180 \, {\left(b x + a\right)}^{n} a^{4} b^{4} c d^{2} n^{4} x^{2} + 16140 \, {\left(b x + a\right)}^{n} a b^{7} c^{2} d n^{3} x^{3} + 6180 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c d^{2} n^{3} x^{3} + 840 \, {\left(b x + a\right)}^{n} a^{5} b^{3} d^{3} n^{3} x^{3} + 69936 \, {\left(b x + a\right)}^{n} b^{8} c^{2} d n^{2} x^{4} - 10590 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c d^{2} n^{2} x^{4} - 2310 \, {\left(b x + a\right)}^{n} a^{4} b^{4} d^{3} n^{2} x^{4} + 4032 \, {\left(b x + a\right)}^{n} a b^{7} c d^{2} n x^{5} + 1008 \, {\left(b x + a\right)}^{n} a^{3} b^{5} d^{3} n x^{5} + 20160 \, {\left(b x + a\right)}^{n} b^{8} c d^{2} x^{6} - 33 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{3} n^{5} + 3135 \, {\left(b x + a\right)}^{n} a b^{7} c^{3} n^{4} x + 468 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c^{2} d n^{4} x + 15289 \, {\left(b x + a\right)}^{n} b^{8} c^{3} n^{3} x^{2} - 11853 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{2} d n^{3} x^{2} - 2880 \, {\left(b x + a\right)}^{n} a^{4} b^{4} c d^{2} n^{3} x^{2} + 21516 \, {\left(b x + a\right)}^{n} a b^{7} c^{2} d n^{2} x^{3} + 11880 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c d^{2} n^{2} x^{3} + 2520 \, {\left(b x + a\right)}^{n} a^{5} b^{3} d^{3} n^{2} x^{3} + 74628 \, {\left(b x + a\right)}^{n} b^{8} c^{2} d n x^{4} - 5040 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c d^{2} n x^{4} - 1260 \, {\left(b x + a\right)}^{n} a^{4} b^{4} d^{3} n x^{4} - 445 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{3} n^{4} - 18 \, {\left(b x + a\right)}^{n} a^{4} b^{4} c^{2} d n^{4} + 12154 \, {\left(b x + a\right)}^{n} a b^{7} c^{3} n^{3} x + 4518 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c^{2} d n^{3} x + 360 \, {\left(b x + a\right)}^{n} a^{5} b^{3} c d^{2} n^{3} x + 36706 \, {\left(b x + a\right)}^{n} b^{8} c^{3} n^{2} x^{2} - 24714 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{2} d n^{2} x^{2} - 12780 \, {\left(b x + a\right)}^{n} a^{4} b^{4} c d^{2} n^{2} x^{2} - 2520 \, {\left(b x + a\right)}^{n} a^{6} b^{2} d^{3} n^{2} x^{2} + 10080 \, {\left(b x + a\right)}^{n} a b^{7} c^{2} d n x^{3} + 6720 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c d^{2} n x^{3} + 1680 \, {\left(b x + a\right)}^{n} a^{5} b^{3} d^{3} n x^{3} + 30240 \, {\left(b x + a\right)}^{n} b^{8} c^{2} d x^{4} - 3135 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{3} n^{3} - 468 \, {\left(b x + a\right)}^{n} a^{4} b^{4} c^{2} d n^{3} + 24552 \, {\left(b x + a\right)}^{n} a b^{7} c^{3} n^{2} x + 19188 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c^{2} d n^{2} x + 5400 \, {\left(b x + a\right)}^{n} a^{5} b^{3} c d^{2} n^{2} x + 44712 \, {\left(b x + a\right)}^{n} b^{8} c^{3} n x^{2} - 15120 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{2} d n x^{2} - 10080 \, {\left(b x + a\right)}^{n} a^{4} b^{4} c d^{2} n x^{2} - 2520 \, {\left(b x + a\right)}^{n} a^{6} b^{2} d^{3} n x^{2} - 12154 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{3} n^{2} - 4518 \, {\left(b x + a\right)}^{n} a^{4} b^{4} c^{2} d n^{2} - 360 \, {\left(b x + a\right)}^{n} a^{6} b^{2} c d^{2} n^{2} + 20160 \, {\left(b x + a\right)}^{n} a b^{7} c^{3} n x + 30240 \, {\left(b x + a\right)}^{n} a^{3} b^{5} c^{2} d n x + 20160 \, {\left(b x + a\right)}^{n} a^{5} b^{3} c d^{2} n x + 5040 \, {\left(b x + a\right)}^{n} a^{7} b d^{3} n x + 20160 \, {\left(b x + a\right)}^{n} b^{8} c^{3} x^{2} - 24552 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{3} n - 19188 \, {\left(b x + a\right)}^{n} a^{4} b^{4} c^{2} d n - 5400 \, {\left(b x + a\right)}^{n} a^{6} b^{2} c d^{2} n - 20160 \, {\left(b x + a\right)}^{n} a^{2} b^{6} c^{3} - 30240 \, {\left(b x + a\right)}^{n} a^{4} b^{4} c^{2} d - 20160 \, {\left(b x + a\right)}^{n} a^{6} b^{2} c d^{2} - 5040 \, {\left(b x + a\right)}^{n} a^{8} d^{3}}{b^{8} n^{8} + 36 \, b^{8} n^{7} + 546 \, b^{8} n^{6} + 4536 \, b^{8} n^{5} + 22449 \, b^{8} n^{4} + 67284 \, b^{8} n^{3} + 118124 \, b^{8} n^{2} + 109584 \, b^{8} n + 40320 \, b^{8}}"," ",0,"((b*x + a)^n*b^8*d^3*n^7*x^8 + (b*x + a)^n*a*b^7*d^3*n^7*x^7 + 28*(b*x + a)^n*b^8*d^3*n^6*x^8 + 3*(b*x + a)^n*b^8*c*d^2*n^7*x^6 + 21*(b*x + a)^n*a*b^7*d^3*n^6*x^7 + 322*(b*x + a)^n*b^8*d^3*n^5*x^8 + 3*(b*x + a)^n*a*b^7*c*d^2*n^7*x^5 + 90*(b*x + a)^n*b^8*c*d^2*n^6*x^6 - 7*(b*x + a)^n*a^2*b^6*d^3*n^6*x^6 + 175*(b*x + a)^n*a*b^7*d^3*n^5*x^7 + 1960*(b*x + a)^n*b^8*d^3*n^4*x^8 + 3*(b*x + a)^n*b^8*c^2*d*n^7*x^4 + 75*(b*x + a)^n*a*b^7*c*d^2*n^6*x^5 + 1098*(b*x + a)^n*b^8*c*d^2*n^5*x^6 - 105*(b*x + a)^n*a^2*b^6*d^3*n^5*x^6 + 735*(b*x + a)^n*a*b^7*d^3*n^4*x^7 + 6769*(b*x + a)^n*b^8*d^3*n^3*x^8 + 3*(b*x + a)^n*a*b^7*c^2*d*n^7*x^3 + 96*(b*x + a)^n*b^8*c^2*d*n^6*x^4 - 15*(b*x + a)^n*a^2*b^6*c*d^2*n^6*x^4 + 723*(b*x + a)^n*a*b^7*c*d^2*n^5*x^5 + 42*(b*x + a)^n*a^3*b^5*d^3*n^5*x^5 + 7020*(b*x + a)^n*b^8*c*d^2*n^4*x^6 - 595*(b*x + a)^n*a^2*b^6*d^3*n^4*x^6 + 1624*(b*x + a)^n*a*b^7*d^3*n^3*x^7 + 13132*(b*x + a)^n*b^8*d^3*n^2*x^8 + (b*x + a)^n*b^8*c^3*n^7*x^2 + 87*(b*x + a)^n*a*b^7*c^2*d*n^6*x^3 + 1254*(b*x + a)^n*b^8*c^2*d*n^5*x^4 - 315*(b*x + a)^n*a^2*b^6*c*d^2*n^5*x^4 + 3405*(b*x + a)^n*a*b^7*c*d^2*n^4*x^5 + 420*(b*x + a)^n*a^3*b^5*d^3*n^4*x^5 + 25227*(b*x + a)^n*b^8*c*d^2*n^3*x^6 - 1575*(b*x + a)^n*a^2*b^6*d^3*n^3*x^6 + 1764*(b*x + a)^n*a*b^7*d^3*n^2*x^7 + 13068*(b*x + a)^n*b^8*d^3*n*x^8 + (b*x + a)^n*a*b^7*c^3*n^7*x + 34*(b*x + a)^n*b^8*c^3*n^6*x^2 - 9*(b*x + a)^n*a^2*b^6*c^2*d*n^6*x^2 + 993*(b*x + a)^n*a*b^7*c^2*d*n^5*x^3 + 60*(b*x + a)^n*a^3*b^5*c*d^2*n^5*x^3 + 8592*(b*x + a)^n*b^8*c^2*d*n^4*x^4 - 2355*(b*x + a)^n*a^2*b^6*c*d^2*n^4*x^4 - 210*(b*x + a)^n*a^4*b^4*d^3*n^4*x^4 + 8202*(b*x + a)^n*a*b^7*c*d^2*n^3*x^5 + 1470*(b*x + a)^n*a^3*b^5*d^3*n^3*x^5 + 50490*(b*x + a)^n*b^8*c*d^2*n^2*x^6 - 1918*(b*x + a)^n*a^2*b^6*d^3*n^2*x^6 + 720*(b*x + a)^n*a*b^7*d^3*n*x^7 + 5040*(b*x + a)^n*b^8*d^3*x^8 + 33*(b*x + a)^n*a*b^7*c^3*n^6*x + 478*(b*x + a)^n*b^8*c^3*n^5*x^2 - 243*(b*x + a)^n*a^2*b^6*c^2*d*n^5*x^2 + 5613*(b*x + a)^n*a*b^7*c^2*d*n^4*x^3 + 1080*(b*x + a)^n*a^3*b^5*c*d^2*n^4*x^3 + 32979*(b*x + a)^n*b^8*c^2*d*n^3*x^4 - 7605*(b*x + a)^n*a^2*b^6*c*d^2*n^3*x^4 - 1260*(b*x + a)^n*a^4*b^4*d^3*n^3*x^4 + 9480*(b*x + a)^n*a*b^7*c*d^2*n^2*x^5 + 2100*(b*x + a)^n*a^3*b^5*d^3*n^2*x^5 + 51432*(b*x + a)^n*b^8*c*d^2*n*x^6 - 840*(b*x + a)^n*a^2*b^6*d^3*n*x^6 - (b*x + a)^n*a^2*b^6*c^3*n^6 + 445*(b*x + a)^n*a*b^7*c^3*n^5*x + 18*(b*x + a)^n*a^3*b^5*c^2*d*n^5*x + 3580*(b*x + a)^n*b^8*c^3*n^4*x^2 - 2493*(b*x + a)^n*a^2*b^6*c^2*d*n^4*x^2 - 180*(b*x + a)^n*a^4*b^4*c*d^2*n^4*x^2 + 16140*(b*x + a)^n*a*b^7*c^2*d*n^3*x^3 + 6180*(b*x + a)^n*a^3*b^5*c*d^2*n^3*x^3 + 840*(b*x + a)^n*a^5*b^3*d^3*n^3*x^3 + 69936*(b*x + a)^n*b^8*c^2*d*n^2*x^4 - 10590*(b*x + a)^n*a^2*b^6*c*d^2*n^2*x^4 - 2310*(b*x + a)^n*a^4*b^4*d^3*n^2*x^4 + 4032*(b*x + a)^n*a*b^7*c*d^2*n*x^5 + 1008*(b*x + a)^n*a^3*b^5*d^3*n*x^5 + 20160*(b*x + a)^n*b^8*c*d^2*x^6 - 33*(b*x + a)^n*a^2*b^6*c^3*n^5 + 3135*(b*x + a)^n*a*b^7*c^3*n^4*x + 468*(b*x + a)^n*a^3*b^5*c^2*d*n^4*x + 15289*(b*x + a)^n*b^8*c^3*n^3*x^2 - 11853*(b*x + a)^n*a^2*b^6*c^2*d*n^3*x^2 - 2880*(b*x + a)^n*a^4*b^4*c*d^2*n^3*x^2 + 21516*(b*x + a)^n*a*b^7*c^2*d*n^2*x^3 + 11880*(b*x + a)^n*a^3*b^5*c*d^2*n^2*x^3 + 2520*(b*x + a)^n*a^5*b^3*d^3*n^2*x^3 + 74628*(b*x + a)^n*b^8*c^2*d*n*x^4 - 5040*(b*x + a)^n*a^2*b^6*c*d^2*n*x^4 - 1260*(b*x + a)^n*a^4*b^4*d^3*n*x^4 - 445*(b*x + a)^n*a^2*b^6*c^3*n^4 - 18*(b*x + a)^n*a^4*b^4*c^2*d*n^4 + 12154*(b*x + a)^n*a*b^7*c^3*n^3*x + 4518*(b*x + a)^n*a^3*b^5*c^2*d*n^3*x + 360*(b*x + a)^n*a^5*b^3*c*d^2*n^3*x + 36706*(b*x + a)^n*b^8*c^3*n^2*x^2 - 24714*(b*x + a)^n*a^2*b^6*c^2*d*n^2*x^2 - 12780*(b*x + a)^n*a^4*b^4*c*d^2*n^2*x^2 - 2520*(b*x + a)^n*a^6*b^2*d^3*n^2*x^2 + 10080*(b*x + a)^n*a*b^7*c^2*d*n*x^3 + 6720*(b*x + a)^n*a^3*b^5*c*d^2*n*x^3 + 1680*(b*x + a)^n*a^5*b^3*d^3*n*x^3 + 30240*(b*x + a)^n*b^8*c^2*d*x^4 - 3135*(b*x + a)^n*a^2*b^6*c^3*n^3 - 468*(b*x + a)^n*a^4*b^4*c^2*d*n^3 + 24552*(b*x + a)^n*a*b^7*c^3*n^2*x + 19188*(b*x + a)^n*a^3*b^5*c^2*d*n^2*x + 5400*(b*x + a)^n*a^5*b^3*c*d^2*n^2*x + 44712*(b*x + a)^n*b^8*c^3*n*x^2 - 15120*(b*x + a)^n*a^2*b^6*c^2*d*n*x^2 - 10080*(b*x + a)^n*a^4*b^4*c*d^2*n*x^2 - 2520*(b*x + a)^n*a^6*b^2*d^3*n*x^2 - 12154*(b*x + a)^n*a^2*b^6*c^3*n^2 - 4518*(b*x + a)^n*a^4*b^4*c^2*d*n^2 - 360*(b*x + a)^n*a^6*b^2*c*d^2*n^2 + 20160*(b*x + a)^n*a*b^7*c^3*n*x + 30240*(b*x + a)^n*a^3*b^5*c^2*d*n*x + 20160*(b*x + a)^n*a^5*b^3*c*d^2*n*x + 5040*(b*x + a)^n*a^7*b*d^3*n*x + 20160*(b*x + a)^n*b^8*c^3*x^2 - 24552*(b*x + a)^n*a^2*b^6*c^3*n - 19188*(b*x + a)^n*a^4*b^4*c^2*d*n - 5400*(b*x + a)^n*a^6*b^2*c*d^2*n - 20160*(b*x + a)^n*a^2*b^6*c^3 - 30240*(b*x + a)^n*a^4*b^4*c^2*d - 20160*(b*x + a)^n*a^6*b^2*c*d^2 - 5040*(b*x + a)^n*a^8*d^3)/(b^8*n^8 + 36*b^8*n^7 + 546*b^8*n^6 + 4536*b^8*n^5 + 22449*b^8*n^4 + 67284*b^8*n^3 + 118124*b^8*n^2 + 109584*b^8*n + 40320*b^8)","B",0
361,1,2085,0,0.235146," ","integrate((b*x+a)^n*(d*x^2+c)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{7} d^{3} n^{6} x^{7} + {\left(b x + a\right)}^{n} a b^{6} d^{3} n^{6} x^{6} + 21 \, {\left(b x + a\right)}^{n} b^{7} d^{3} n^{5} x^{7} + 3 \, {\left(b x + a\right)}^{n} b^{7} c d^{2} n^{6} x^{5} + 15 \, {\left(b x + a\right)}^{n} a b^{6} d^{3} n^{5} x^{6} + 175 \, {\left(b x + a\right)}^{n} b^{7} d^{3} n^{4} x^{7} + 3 \, {\left(b x + a\right)}^{n} a b^{6} c d^{2} n^{6} x^{4} + 69 \, {\left(b x + a\right)}^{n} b^{7} c d^{2} n^{5} x^{5} - 6 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{3} n^{5} x^{5} + 85 \, {\left(b x + a\right)}^{n} a b^{6} d^{3} n^{4} x^{6} + 735 \, {\left(b x + a\right)}^{n} b^{7} d^{3} n^{3} x^{7} + 3 \, {\left(b x + a\right)}^{n} b^{7} c^{2} d n^{6} x^{3} + 57 \, {\left(b x + a\right)}^{n} a b^{6} c d^{2} n^{5} x^{4} + 621 \, {\left(b x + a\right)}^{n} b^{7} c d^{2} n^{4} x^{5} - 60 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{3} n^{4} x^{5} + 225 \, {\left(b x + a\right)}^{n} a b^{6} d^{3} n^{3} x^{6} + 1624 \, {\left(b x + a\right)}^{n} b^{7} d^{3} n^{2} x^{7} + 3 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} d n^{6} x^{2} + 75 \, {\left(b x + a\right)}^{n} b^{7} c^{2} d n^{5} x^{3} - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d^{2} n^{5} x^{3} + 393 \, {\left(b x + a\right)}^{n} a b^{6} c d^{2} n^{4} x^{4} + 30 \, {\left(b x + a\right)}^{n} a^{3} b^{4} d^{3} n^{4} x^{4} + 2775 \, {\left(b x + a\right)}^{n} b^{7} c d^{2} n^{3} x^{5} - 210 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{3} n^{3} x^{5} + 274 \, {\left(b x + a\right)}^{n} a b^{6} d^{3} n^{2} x^{6} + 1764 \, {\left(b x + a\right)}^{n} b^{7} d^{3} n x^{7} + {\left(b x + a\right)}^{n} b^{7} c^{3} n^{6} x + 69 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} d n^{5} x^{2} + 741 \, {\left(b x + a\right)}^{n} b^{7} c^{2} d n^{4} x^{3} - 192 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d^{2} n^{4} x^{3} + 1203 \, {\left(b x + a\right)}^{n} a b^{6} c d^{2} n^{3} x^{4} + 180 \, {\left(b x + a\right)}^{n} a^{3} b^{4} d^{3} n^{3} x^{4} + 6432 \, {\left(b x + a\right)}^{n} b^{7} c d^{2} n^{2} x^{5} - 300 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{3} n^{2} x^{5} + 120 \, {\left(b x + a\right)}^{n} a b^{6} d^{3} n x^{6} + 720 \, {\left(b x + a\right)}^{n} b^{7} d^{3} x^{7} + {\left(b x + a\right)}^{n} a b^{6} c^{3} n^{6} + 27 \, {\left(b x + a\right)}^{n} b^{7} c^{3} n^{5} x - 6 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} d n^{5} x + 603 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} d n^{4} x^{2} + 36 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c d^{2} n^{4} x^{2} + 3657 \, {\left(b x + a\right)}^{n} b^{7} c^{2} d n^{3} x^{3} - 996 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d^{2} n^{3} x^{3} - 120 \, {\left(b x + a\right)}^{n} a^{4} b^{3} d^{3} n^{3} x^{3} + 1620 \, {\left(b x + a\right)}^{n} a b^{6} c d^{2} n^{2} x^{4} + 330 \, {\left(b x + a\right)}^{n} a^{3} b^{4} d^{3} n^{2} x^{4} + 7236 \, {\left(b x + a\right)}^{n} b^{7} c d^{2} n x^{5} - 144 \, {\left(b x + a\right)}^{n} a^{2} b^{5} d^{3} n x^{5} + 27 \, {\left(b x + a\right)}^{n} a b^{6} c^{3} n^{5} + 295 \, {\left(b x + a\right)}^{n} b^{7} c^{3} n^{4} x - 132 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} d n^{4} x + 2451 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} d n^{3} x^{2} + 504 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c d^{2} n^{3} x^{2} + 9336 \, {\left(b x + a\right)}^{n} b^{7} c^{2} d n^{2} x^{3} - 1824 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d^{2} n^{2} x^{3} - 360 \, {\left(b x + a\right)}^{n} a^{4} b^{3} d^{3} n^{2} x^{3} + 756 \, {\left(b x + a\right)}^{n} a b^{6} c d^{2} n x^{4} + 180 \, {\left(b x + a\right)}^{n} a^{3} b^{4} d^{3} n x^{4} + 3024 \, {\left(b x + a\right)}^{n} b^{7} c d^{2} x^{5} + 295 \, {\left(b x + a\right)}^{n} a b^{6} c^{3} n^{4} + 6 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} d n^{4} + 1665 \, {\left(b x + a\right)}^{n} b^{7} c^{3} n^{3} x - 1074 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} d n^{3} x - 72 \, {\left(b x + a\right)}^{n} a^{4} b^{3} c d^{2} n^{3} x + 4434 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} d n^{2} x^{2} + 1980 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c d^{2} n^{2} x^{2} + 360 \, {\left(b x + a\right)}^{n} a^{5} b^{2} d^{3} n^{2} x^{2} + 11388 \, {\left(b x + a\right)}^{n} b^{7} c^{2} d n x^{3} - 1008 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c d^{2} n x^{3} - 240 \, {\left(b x + a\right)}^{n} a^{4} b^{3} d^{3} n x^{3} + 1665 \, {\left(b x + a\right)}^{n} a b^{6} c^{3} n^{3} + 132 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} d n^{3} + 5104 \, {\left(b x + a\right)}^{n} b^{7} c^{3} n^{2} x - 3828 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} d n^{2} x - 936 \, {\left(b x + a\right)}^{n} a^{4} b^{3} c d^{2} n^{2} x + 2520 \, {\left(b x + a\right)}^{n} a b^{6} c^{2} d n x^{2} + 1512 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c d^{2} n x^{2} + 360 \, {\left(b x + a\right)}^{n} a^{5} b^{2} d^{3} n x^{2} + 5040 \, {\left(b x + a\right)}^{n} b^{7} c^{2} d x^{3} + 5104 \, {\left(b x + a\right)}^{n} a b^{6} c^{3} n^{2} + 1074 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} d n^{2} + 72 \, {\left(b x + a\right)}^{n} a^{5} b^{2} c d^{2} n^{2} + 8028 \, {\left(b x + a\right)}^{n} b^{7} c^{3} n x - 5040 \, {\left(b x + a\right)}^{n} a^{2} b^{5} c^{2} d n x - 3024 \, {\left(b x + a\right)}^{n} a^{4} b^{3} c d^{2} n x - 720 \, {\left(b x + a\right)}^{n} a^{6} b d^{3} n x + 8028 \, {\left(b x + a\right)}^{n} a b^{6} c^{3} n + 3828 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} d n + 936 \, {\left(b x + a\right)}^{n} a^{5} b^{2} c d^{2} n + 5040 \, {\left(b x + a\right)}^{n} b^{7} c^{3} x + 5040 \, {\left(b x + a\right)}^{n} a b^{6} c^{3} + 5040 \, {\left(b x + a\right)}^{n} a^{3} b^{4} c^{2} d + 3024 \, {\left(b x + a\right)}^{n} a^{5} b^{2} c d^{2} + 720 \, {\left(b x + a\right)}^{n} a^{7} d^{3}}{b^{7} n^{7} + 28 \, b^{7} n^{6} + 322 \, b^{7} n^{5} + 1960 \, b^{7} n^{4} + 6769 \, b^{7} n^{3} + 13132 \, b^{7} n^{2} + 13068 \, b^{7} n + 5040 \, b^{7}}"," ",0,"((b*x + a)^n*b^7*d^3*n^6*x^7 + (b*x + a)^n*a*b^6*d^3*n^6*x^6 + 21*(b*x + a)^n*b^7*d^3*n^5*x^7 + 3*(b*x + a)^n*b^7*c*d^2*n^6*x^5 + 15*(b*x + a)^n*a*b^6*d^3*n^5*x^6 + 175*(b*x + a)^n*b^7*d^3*n^4*x^7 + 3*(b*x + a)^n*a*b^6*c*d^2*n^6*x^4 + 69*(b*x + a)^n*b^7*c*d^2*n^5*x^5 - 6*(b*x + a)^n*a^2*b^5*d^3*n^5*x^5 + 85*(b*x + a)^n*a*b^6*d^3*n^4*x^6 + 735*(b*x + a)^n*b^7*d^3*n^3*x^7 + 3*(b*x + a)^n*b^7*c^2*d*n^6*x^3 + 57*(b*x + a)^n*a*b^6*c*d^2*n^5*x^4 + 621*(b*x + a)^n*b^7*c*d^2*n^4*x^5 - 60*(b*x + a)^n*a^2*b^5*d^3*n^4*x^5 + 225*(b*x + a)^n*a*b^6*d^3*n^3*x^6 + 1624*(b*x + a)^n*b^7*d^3*n^2*x^7 + 3*(b*x + a)^n*a*b^6*c^2*d*n^6*x^2 + 75*(b*x + a)^n*b^7*c^2*d*n^5*x^3 - 12*(b*x + a)^n*a^2*b^5*c*d^2*n^5*x^3 + 393*(b*x + a)^n*a*b^6*c*d^2*n^4*x^4 + 30*(b*x + a)^n*a^3*b^4*d^3*n^4*x^4 + 2775*(b*x + a)^n*b^7*c*d^2*n^3*x^5 - 210*(b*x + a)^n*a^2*b^5*d^3*n^3*x^5 + 274*(b*x + a)^n*a*b^6*d^3*n^2*x^6 + 1764*(b*x + a)^n*b^7*d^3*n*x^7 + (b*x + a)^n*b^7*c^3*n^6*x + 69*(b*x + a)^n*a*b^6*c^2*d*n^5*x^2 + 741*(b*x + a)^n*b^7*c^2*d*n^4*x^3 - 192*(b*x + a)^n*a^2*b^5*c*d^2*n^4*x^3 + 1203*(b*x + a)^n*a*b^6*c*d^2*n^3*x^4 + 180*(b*x + a)^n*a^3*b^4*d^3*n^3*x^4 + 6432*(b*x + a)^n*b^7*c*d^2*n^2*x^5 - 300*(b*x + a)^n*a^2*b^5*d^3*n^2*x^5 + 120*(b*x + a)^n*a*b^6*d^3*n*x^6 + 720*(b*x + a)^n*b^7*d^3*x^7 + (b*x + a)^n*a*b^6*c^3*n^6 + 27*(b*x + a)^n*b^7*c^3*n^5*x - 6*(b*x + a)^n*a^2*b^5*c^2*d*n^5*x + 603*(b*x + a)^n*a*b^6*c^2*d*n^4*x^2 + 36*(b*x + a)^n*a^3*b^4*c*d^2*n^4*x^2 + 3657*(b*x + a)^n*b^7*c^2*d*n^3*x^3 - 996*(b*x + a)^n*a^2*b^5*c*d^2*n^3*x^3 - 120*(b*x + a)^n*a^4*b^3*d^3*n^3*x^3 + 1620*(b*x + a)^n*a*b^6*c*d^2*n^2*x^4 + 330*(b*x + a)^n*a^3*b^4*d^3*n^2*x^4 + 7236*(b*x + a)^n*b^7*c*d^2*n*x^5 - 144*(b*x + a)^n*a^2*b^5*d^3*n*x^5 + 27*(b*x + a)^n*a*b^6*c^3*n^5 + 295*(b*x + a)^n*b^7*c^3*n^4*x - 132*(b*x + a)^n*a^2*b^5*c^2*d*n^4*x + 2451*(b*x + a)^n*a*b^6*c^2*d*n^3*x^2 + 504*(b*x + a)^n*a^3*b^4*c*d^2*n^3*x^2 + 9336*(b*x + a)^n*b^7*c^2*d*n^2*x^3 - 1824*(b*x + a)^n*a^2*b^5*c*d^2*n^2*x^3 - 360*(b*x + a)^n*a^4*b^3*d^3*n^2*x^3 + 756*(b*x + a)^n*a*b^6*c*d^2*n*x^4 + 180*(b*x + a)^n*a^3*b^4*d^3*n*x^4 + 3024*(b*x + a)^n*b^7*c*d^2*x^5 + 295*(b*x + a)^n*a*b^6*c^3*n^4 + 6*(b*x + a)^n*a^3*b^4*c^2*d*n^4 + 1665*(b*x + a)^n*b^7*c^3*n^3*x - 1074*(b*x + a)^n*a^2*b^5*c^2*d*n^3*x - 72*(b*x + a)^n*a^4*b^3*c*d^2*n^3*x + 4434*(b*x + a)^n*a*b^6*c^2*d*n^2*x^2 + 1980*(b*x + a)^n*a^3*b^4*c*d^2*n^2*x^2 + 360*(b*x + a)^n*a^5*b^2*d^3*n^2*x^2 + 11388*(b*x + a)^n*b^7*c^2*d*n*x^3 - 1008*(b*x + a)^n*a^2*b^5*c*d^2*n*x^3 - 240*(b*x + a)^n*a^4*b^3*d^3*n*x^3 + 1665*(b*x + a)^n*a*b^6*c^3*n^3 + 132*(b*x + a)^n*a^3*b^4*c^2*d*n^3 + 5104*(b*x + a)^n*b^7*c^3*n^2*x - 3828*(b*x + a)^n*a^2*b^5*c^2*d*n^2*x - 936*(b*x + a)^n*a^4*b^3*c*d^2*n^2*x + 2520*(b*x + a)^n*a*b^6*c^2*d*n*x^2 + 1512*(b*x + a)^n*a^3*b^4*c*d^2*n*x^2 + 360*(b*x + a)^n*a^5*b^2*d^3*n*x^2 + 5040*(b*x + a)^n*b^7*c^2*d*x^3 + 5104*(b*x + a)^n*a*b^6*c^3*n^2 + 1074*(b*x + a)^n*a^3*b^4*c^2*d*n^2 + 72*(b*x + a)^n*a^5*b^2*c*d^2*n^2 + 8028*(b*x + a)^n*b^7*c^3*n*x - 5040*(b*x + a)^n*a^2*b^5*c^2*d*n*x - 3024*(b*x + a)^n*a^4*b^3*c*d^2*n*x - 720*(b*x + a)^n*a^6*b*d^3*n*x + 8028*(b*x + a)^n*a*b^6*c^3*n + 3828*(b*x + a)^n*a^3*b^4*c^2*d*n + 936*(b*x + a)^n*a^5*b^2*c*d^2*n + 5040*(b*x + a)^n*b^7*c^3*x + 5040*(b*x + a)^n*a*b^6*c^3 + 5040*(b*x + a)^n*a^3*b^4*c^2*d + 3024*(b*x + a)^n*a^5*b^2*c*d^2 + 720*(b*x + a)^n*a^7*d^3)/(b^7*n^7 + 28*b^7*n^6 + 322*b^7*n^5 + 1960*b^7*n^4 + 6769*b^7*n^3 + 13132*b^7*n^2 + 13068*b^7*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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int {\left(e x + d\right)} {\left(b x^{2} + a\right)}^{p} x^{5}\,{d x}"," ",0,"integrate((e*x + d)*(b*x^2 + a)^p*x^5, x)","F",0
382,0,0,0,0.000000," ","integrate(x^4*(e*x+d)*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
384,0,0,0,0.000000," ","integrate(x^2*(e*x+d)*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
386,0,0,0,0.000000," ","integrate((e*x+d)*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int {\left(e x + d\right)}^{2} {\left(b x^{2} + a\right)}^{p} x^{5}\,{d x}"," ",0,"integrate((e*x + d)^2*(b*x^2 + a)^p*x^5, x)","F",0
391,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^2*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
393,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^2*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
395,0,0,0,0.000000," ","integrate((e*x+d)^2*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int {\left(e x + d\right)}^{3} {\left(b x^{2} + a\right)}^{p} x^{5}\,{d x}"," ",0,"integrate((e*x + d)^3*(b*x^2 + a)^p*x^5, x)","F",0
400,0,0,0,0.000000," ","integrate(x^4*(e*x+d)^3*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
402,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^3*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\int {\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
404,0,0,0,0.000000," ","integrate((e*x+d)^3*(b*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 1.91Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 1.92Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 1.9Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
441,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/x/(e*x+d),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
442,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*((-2*exp(1)*a*exp(2)+2*exp(1)^3*a)/d/2/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))-(-a*exp(2)+2*exp(1)^2*a-c*d^2)/d/2/sqrt(-a*d*exp(1))*atan((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))-((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a*exp(2)+c*d^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)-2*d*exp(1)*sqrt(c*d*exp(1))*a)/2/d/((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a))","F(-2)",0
443,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*((2*exp(1)^2*a*exp(2)-2*exp(1)^4*a)/2/d^2/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))+(-a^2*exp(2)^2-4*exp(1)^2*a^2*exp(2)+8*exp(1)^4*a^2-2*c*d^2*a*exp(2)-c^2*d^4)/4/d^2/exp(1)/a/2/sqrt(-a*d*exp(1))*atan((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))-((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^2*exp(2)^2-4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^2*exp(2)+2*c*d^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a*exp(2)+c^2*d^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3-8*d*exp(1)*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^2*exp(2)+8*d*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^2-8*c*d^3*exp(1)*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a+d*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^3*exp(2)^2+4*d*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^3*exp(2)+2*c*d^3*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^2*exp(2)+8*c*d^3*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^2+c^2*d^5*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a-8*d^2*exp(1)^4*sqrt(c*d*exp(1))*a^3)/8/d^2/exp(1)/a/((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a)^2)","F(-2)",0
444,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*((-2*exp(1)^3*a*exp(2)+2*exp(1)^5*a)/2/d^3/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))-(-a^3*exp(2)^3-2*exp(1)^2*a^3*exp(2)^2-8*exp(1)^4*a^3*exp(2)+16*exp(1)^6*a^3-3*c*d^2*a^2*exp(2)^2-3*c^2*d^4*a*exp(2)+2*c^2*d^4*exp(1)^2*a-c^3*d^6)/8/d^3/exp(1)^2/a^2/2/sqrt(-a*d*exp(1))*atan((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))+(3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)^3+6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)^2-24*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)+9*c*d^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^2*exp(2)^2+9*c^2*d^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a*exp(2)-6*c^2*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a+3*c^3*d^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5-48*d*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^3*exp(2)+48*d*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^3-8*d*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)^3+48*d*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)-24*c*d^3*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3*exp(2)^2-48*c*d^3*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3*exp(2)+48*c*d^3*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3-24*c^2*d^5*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^2*exp(2)-48*c^2*d^5*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^2-8*c^3*d^7*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a+48*d^2*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^4*exp(2)^2+48*d^2*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^4*exp(2)-96*d^2*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^4+96*c*d^4*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^3*exp(2)+48*c*d^4*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^3+48*c^2*d^6*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^2-3*d^2*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)^3-6*d^2*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)^2-24*d^2*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)-9*c*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4*exp(2)^2-48*c*d^4*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4*exp(2)-48*c*d^4*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4-9*c^2*d^6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^3*exp(2)-42*c^2*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^3-3*c^3*d^8*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^2+48*d^3*exp(1)^7*sqrt(c*d*exp(1))*a^5+16*c*d^5*exp(1)^5*sqrt(c*d*exp(1))*a^4)/48/d^3/exp(1)^2/a^2/((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a)^3)","F(-2)",0
445,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*((2*exp(1)^4*a*exp(2)-2*exp(1)^6*a)/2/d^4/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))+(-5*a^4*exp(2)^4-8*exp(1)^2*a^4*exp(2)^3-16*exp(1)^4*a^4*exp(2)^2-64*exp(1)^6*a^4*exp(2)+128*exp(1)^8*a^4-20*c*d^2*a^3*exp(2)^3-30*c^2*d^4*a^2*exp(2)^2+24*c^2*d^4*exp(1)^2*a^2*exp(2)-20*c^3*d^6*a*exp(2)+16*c^3*d^6*exp(1)^2*a-5*c^4*d^8)/64/d^4/exp(1)^3/a^3/2/sqrt(-a*d*exp(1))*atan((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))+(-15*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)^4-24*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)^3-48*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)^2+192*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)-60*c*d^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^3*exp(2)^3-90*c^2*d^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^2*exp(2)^2+72*c^2*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^2*exp(2)-60*c^3*d^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a*exp(2)+48*c^3*d^6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a-15*c^4*d^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7+384*d*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^4*exp(2)-384*d*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^4+55*d*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)^4+88*d*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)^3+48*d*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)^2-576*d*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)+220*c*d^3*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4*exp(2)^3+384*c*d^3*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4*exp(2)-384*c*d^3*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4+330*c^2*d^5*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)^2-264*c^2*d^5*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)+220*c^3*d^7*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^2*exp(2)-176*c^3*d^7*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^2+55*c^4*d^9*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a-384*d^2*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5*exp(2)^2-768*d^2*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5*exp(2)+1152*d^2*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5+384*c*d^4*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^4*exp(2)-384*c*d^4*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^4+768*c^2*d^6*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^3-73*d^2*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^4-40*d^2*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^3+48*d^2*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^2+576*d^2*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)-292*c*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)^3-768*c*d^4*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)^2+768*c*d^4*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5-438*c^2*d^6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)^2-1416*c^2*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)-384*c^2*d^6*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4-292*c^3*d^8*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3*exp(2)-688*c^3*d^8*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3-73*c^4*d^10*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^2+384*d^3*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6*exp(2)^3+384*d^3*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6*exp(2)^2+384*d^3*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6*exp(2)-1152*d^3*exp(1)^9*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6+1152*c*d^5*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^5*exp(2)^2+1024*c*d^5*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^5*exp(2)+256*c*d^5*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^5+1152*c^2*d^7*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^4*exp(2)+640*c^2*d^7*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^4+384*c^3*d^9*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^3-15*d^3*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^4-24*d^3*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^3-48*d^3*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^2-192*d^3*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)-60*c*d^5*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6*exp(2)^3-384*c*d^5*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6*exp(2)^2-384*c*d^5*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6*exp(2)-384*c*d^5*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6-90*c^2*d^7*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)^2-696*c^2*d^7*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)-384*c^2*d^7*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5-60*c^3*d^9*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4*exp(2)-336*c^3*d^9*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4-15*c^4*d^11*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^3+384*d^4*exp(1)^10*sqrt(c*d*exp(1))*a^7+128*c*d^6*exp(1)^6*sqrt(c*d*exp(1))*a^6*exp(2)+128*c*d^6*exp(1)^8*sqrt(c*d*exp(1))*a^6+128*c^2*d^8*exp(1)^6*sqrt(c*d*exp(1))*a^5)/384/d^4/exp(1)^3/a^3/((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a)^4)","F(-2)",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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 0.42Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
449,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
450,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/x/(e*x+d),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
451,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
452,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.42Error: Bad Argument Type","F(-2)",0
453,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*((2*exp(1)^2*a^2*exp(2)^2-4*exp(1)^4*a^2*exp(2)+2*exp(1)^6*a^2)/2/d^2/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))-(a^3*exp(2)^3+6*exp(1)^2*a^3*exp(2)^2-24*exp(1)^4*a^3*exp(2)+16*exp(1)^6*a^3+3*c*d^2*a^2*exp(2)^2+3*c^2*d^4*a*exp(2)-6*c^2*d^4*exp(1)^2*a+c^3*d^6)/8/d^2/exp(1)/a/2/sqrt(-a*d*exp(1))*atan((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))+(-3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)^3+30*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)^2-24*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)-9*c*d^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^2*exp(2)^2-9*c^2*d^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a*exp(2)-30*c^2*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a-3*c^3*d^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5+48*d*exp(1)*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^3*exp(2)^2-96*d*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^3*exp(2)+48*d*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^3+96*c*d^3*exp(1)*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^2*exp(2)+48*c^2*d^5*exp(1)*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a-8*d*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)^3-48*d*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)^2+48*d*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)-24*c*d^3*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3*exp(2)^2-96*c*d^3*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3*exp(2)+48*c*d^3*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3-24*c^2*d^5*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^2*exp(2)-48*c^2*d^5*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^2-8*c^3*d^7*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a+144*d^2*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^4*exp(2)-96*d^2*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^4+48*c*d^4*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^3+3*d^2*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)^3+18*d^2*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)^2-24*d^2*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)+9*c*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4*exp(2)^2-48*c*d^4*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4+9*c^2*d^6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^3*exp(2)-18*c^2*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^3+3*c^3*d^8*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^2-48*d^3*exp(1)^5*sqrt(c*d*exp(1))*a^5*exp(2)+48*d^3*exp(1)^7*sqrt(c*d*exp(1))*a^5+16*c*d^5*exp(1)^5*sqrt(c*d*exp(1))*a^4)/48/d^2/exp(1)/a/((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a)^3)","F(-2)",0
454,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*((-2*exp(1)^3*a^2*exp(2)^2+4*exp(1)^5*a^2*exp(2)-2*exp(1)^7*a^2)/2/d^3/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))+(3*a^4*exp(2)^4+8*exp(1)^2*a^4*exp(2)^3+48*exp(1)^4*a^4*exp(2)^2-192*exp(1)^6*a^4*exp(2)+128*exp(1)^8*a^4+12*c*d^2*a^3*exp(2)^3+18*c^2*d^4*a^2*exp(2)^2-24*c^2*d^4*exp(1)^2*a^2*exp(2)+12*c^3*d^6*a*exp(2)-16*c^3*d^6*exp(1)^2*a+3*c^4*d^8)/64/d^3/exp(1)^2/a^2/2/sqrt(-a*d*exp(1))*atan((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))+(9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)^4+24*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)^3-240*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)^2+192*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)+36*c*d^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^3*exp(2)^3+54*c^2*d^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^2*exp(2)^2-72*c^2*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^2*exp(2)+36*c^3*d^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a*exp(2)-48*c^3*d^6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a+9*c^4*d^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7-384*d*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^4*exp(2)^2+768*d*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^4*exp(2)-384*d*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^4+384*c^2*d^5*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^2-33*d*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)^4+40*d*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)^3+624*d*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)^2-576*d*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)-132*c*d^3*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4*exp(2)^3-384*c*d^3*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4*exp(2)^2+768*c*d^3*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4*exp(2)-384*c*d^3*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4-198*c^2*d^5*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)^2-888*c^2*d^5*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)-132*c^3*d^7*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^2*exp(2)-464*c^3*d^7*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^2-33*c^4*d^9*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a+384*d^2*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5*exp(2)^3+384*d^2*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5*exp(2)^2-1920*d^2*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5*exp(2)+1152*d^2*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5+1152*c*d^4*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^4*exp(2)^2+768*c*d^4*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^4*exp(2)-384*c*d^4*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^4+1152*c^2*d^6*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^3*exp(2)+384*c^2*d^6*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^3+384*c^3*d^8*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^2-33*d^2*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^4-88*d^2*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^3-528*d^2*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^2+576*d^2*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)-132*c*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)^3-768*c*d^4*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)^2-768*c*d^4*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)+768*c*d^4*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5-198*c^2*d^6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)^2-1272*c^2*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)-384*c^2*d^6*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4-132*c^3*d^8*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3*exp(2)-592*c^3*d^8*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3-33*c^4*d^10*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^2+1536*d^3*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6*exp(2)-1152*d^3*exp(1)^9*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6+768*c*d^5*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^5*exp(2)+256*c*d^5*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^5+768*c^2*d^7*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^4+9*d^3*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^4+24*d^3*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^3+144*d^3*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^2-192*d^3*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)+36*c*d^5*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6*exp(2)^3-384*c*d^5*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6+54*c^2*d^7*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)^2-72*c^2*d^7*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)-384*c^2*d^7*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5+36*c^3*d^9*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4*exp(2)-48*c^3*d^9*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4+9*c^4*d^11*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^3-384*d^4*exp(1)^8*sqrt(c*d*exp(1))*a^7*exp(2)+384*d^4*exp(1)^10*sqrt(c*d*exp(1))*a^7+128*c*d^6*exp(1)^8*sqrt(c*d*exp(1))*a^6)/384/d^3/exp(1)^2/a^2/((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a)^4)","F(-2)",0
455,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 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x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^7+2100*c^2*d^7*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^3+20520*c^2*d^7*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^2+19200*c^2*d^7*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)+2100*c^3*d^9*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)^2+19680*c^3*d^9*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)+12640*c^3*d^9*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5+1050*c^4*d^11*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)+6420*c^4*d^11*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4+210*c^5*d^13*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3-19200*d^4*exp(1)^10*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^8*exp(2)+15360*d^4*exp(1)^12*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^8-7680*c*d^6*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^7*exp(2)^2-7680*c*d^6*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^7*exp(2)-1280*c*d^6*exp(1)^10*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^7-15360*c^2*d^8*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6*exp(2)-7680*c^2*d^8*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6-7680*c^3*d^10*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^5-45*d^4*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^5-90*d^4*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^4-240*d^4*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^3-1440*d^4*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^2+1920*d^4*exp(1)^12*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)-225*c*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^8*exp(2)^4+3840*c*d^6*exp(1)^12*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^8-450*c^2*d^8*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^3+540*c^2*d^8*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^2+3840*c^2*d^8*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)+3840*c^2*d^8*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7-450*c^3*d^10*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6*exp(2)^2+720*c^3*d^10*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6*exp(2)+3600*c^3*d^10*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6-225*c^4*d^12*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)+270*c^4*d^12*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5-45*c^5*d^14*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4+3840*d^5*exp(1)^11*sqrt(c*d*exp(1))*a^9*exp(2)-3840*d^5*exp(1)^13*sqrt(c*d*exp(1))*a^9-1280*c*d^7*exp(1)^11*sqrt(c*d*exp(1))*a^8-768*c^2*d^9*exp(1)^9*sqrt(c*d*exp(1))*a^7)/3840/d^4/exp(1)^3/a^3/((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a)^5)","F(-2)",0
456,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*((-2*exp(1)^5*a^2*exp(2)^2+4*exp(1)^7*a^2*exp(2)-2*exp(1)^9*a^2)/2/d^5/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))+(7*a^6*exp(2)^6+12*exp(1)^2*a^6*exp(2)^5+24*exp(1)^4*a^6*exp(2)^4+64*exp(1)^6*a^6*exp(2)^3+384*exp(1)^8*a^6*exp(2)^2-1536*exp(1)^10*a^6*exp(2)+1024*exp(1)^12*a^6+42*c*d^2*a^5*exp(2)^5+105*c^2*d^4*a^4*exp(2)^4-120*c^2*d^4*exp(1)^2*a^4*exp(2)^3+140*c^3*d^6*a^3*exp(2)^3-240*c^3*d^6*exp(1)^2*a^3*exp(2)^2+96*c^3*d^6*exp(1)^4*a^3*exp(2)+105*c^4*d^8*a^2*exp(2)^2-180*c^4*d^8*exp(1)^2*a^2*exp(2)+72*c^4*d^8*exp(1)^4*a^2+42*c^5*d^10*a*exp(2)-48*c^5*d^10*exp(1)^2*a+7*c^6*d^12)/512/d^5/exp(1)^4/a^4/2/sqrt(-a*d*exp(1))*atan((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))-(-105*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^6*exp(2)^6-180*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^6*exp(2)^5-360*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^6*exp(2)^4-960*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^6*exp(2)^3+9600*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^6*exp(2)^2-7680*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^6*exp(2)-630*c*d^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^5*exp(2)^5-1575*c^2*d^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^4*exp(2)^4+1800*c^2*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^4*exp(2)^3-2100*c^3*d^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^3*exp(2)^3+3600*c^3*d^6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^3*exp(2)^2-1440*c^3*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^3*exp(2)-1575*c^4*d^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^2*exp(2)^2+2700*c^4*d^8*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^2*exp(2)-1080*c^4*d^8*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a^2-630*c^5*d^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a*exp(2)+720*c^5*d^10*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11*a-105*c^6*d^12*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^11+15360*d*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^10*a^6*exp(2)^2-30720*d*exp(1)^9*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^10*a^6*exp(2)+15360*d*exp(1)^11*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^10*a^6+595*d*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^7*exp(2)^6+1020*d*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^7*exp(2)^5+2040*d*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^7*exp(2)^4+320*d*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^7*exp(2)^3-44160*d*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^7*exp(2)^2+38400*d*exp(1)^11*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^7*exp(2)+3570*c*d^3*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^6*exp(2)^5+15360*c*d^3*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^6*exp(2)^2-30720*c*d^3*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^6*exp(2)+15360*c*d^3*exp(1)^11*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^6+8925*c^2*d^5*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^5*exp(2)^4-10200*c^2*d^5*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^5*exp(2)^3+11900*c^3*d^7*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^4*exp(2)^3-20400*c^3*d^7*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^4*exp(2)^2+8160*c^3*d^7*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^4*exp(2)+8925*c^4*d^9*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^3*exp(2)^2-15300*c^4*d^9*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^3*exp(2)+6120*c^4*d^9*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^3+3570*c^5*d^11*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp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p(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^7*exp(2)+15360*c^2*d^8*exp(1)^10*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^7-153600*c^3*d^10*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^6*exp(2)^2-245760*c^3*d^10*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^6*exp(2)-107520*c^3*d^10*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^6-76800*c^4*d^12*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5*exp(2)-76800*c^4*d^12*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5-15360*c^5*d^14*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^4+595*d^4*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^10*exp(2)^6+1020*d^4*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^10*exp(2)^5+2040*d^4*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^10*exp(2)^4+5440*d^4*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^10*exp(2)^3+32640*d^4*exp(1)^12*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^10*exp(2)^2-38400*d^4*exp(1)^14*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^10*exp(2)+3570*c*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^9*exp(2)^5+30720*c*d^6*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^9*exp(2)^4+30720*c*d^6*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^9*exp(2)^3+30720*c*d^6*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^9*exp(2)^2+30720*c*d^6*exp(1)^12*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^9*exp(2)-61440*c*d^6*exp(1)^14*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^9+8925*c^2*d^8*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8*exp(2)^4+112680*c^2*d^8*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8*exp(2)^3+138240*c^2*d^8*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8*exp(2)^2+61440*c^2*d^8*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8*exp(2)-15360*c^2*d^8*exp(1)^12*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8+11900*c^3*d^10*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^7*exp(2)^3+163920*c^3*d^10*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^7*exp(2)^2+192480*c^3*d^10*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^7*exp(2)+51200*c^3*d^10*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^7+8925*c^4*d^12*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^2+107580*c^4*d^12*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)+82920*c^4*d^12*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6+3570*c^5*d^14*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)+26640*c^5*d^14*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5+595*c^6*d^16*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4-92160*d^5*exp(1)^13*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^10*exp(2)+76800*d^5*exp(1)^15*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^10-30720*c*d^7*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^9*exp(2)^3-30720*c*d^7*exp(1)^9*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^9*exp(2)^2-30720*c*d^7*exp(1)^11*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^9*exp(2)-92160*c^2*d^9*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^8*exp(2)^2-73728*c^2*d^9*exp(1)^9*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^8*exp(2)-27648*c^2*d^9*exp(1)^11*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^8-92160*c^3*d^11*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^7*exp(2)-43008*c^3*d^11*exp(1)^9*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^7-30720*c^4*d^13*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6-105*d^5*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^11*exp(2)^6-180*d^5*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^11*exp(2)^5-360*d^5*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^11*exp(2)^4-960*d^5*exp(1)^11*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^11*exp(2)^3-5760*d^5*exp(1)^13*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^11*exp(2)^2+7680*d^5*exp(1)^15*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^11*exp(2)-630*c*d^7*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^10*exp(2)^5+15360*c*d^7*exp(1)^15*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^10-1575*c^2*d^9*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^4+1800*c^2*d^9*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^3+15360*c^2*d^9*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^2+15360*c^2*d^9*exp(1)^11*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)+15360*c^2*d^9*exp(1)^13*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9-2100*c^3*d^11*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^8*exp(2)^3+3600*c^3*d^11*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^8*exp(2)^2+29280*c^3*d^11*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^8*exp(2)+15360*c^3*d^11*exp(1)^11*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^8-1575*c^4*d^13*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^2+2700*c^4*d^13*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)+14280*c^4*d^13*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7-630*c^5*d^15*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6*exp(2)+720*c^5*d^15*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6-105*c^6*d^17*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5+15360*d^6*exp(1)^14*sqrt(c*d*exp(1))*a^11*exp(2)-15360*d^6*exp(1)^16*sqrt(c*d*exp(1))*a^11-5120*c*d^8*exp(1)^14*sqrt(c*d*exp(1))*a^10-3072*c^2*d^10*exp(1)^10*sqrt(c*d*exp(1))*a^9*exp(2)-3072*c^2*d^10*exp(1)^12*sqrt(c*d*exp(1))*a^9-3072*c^3*d^12*exp(1)^10*sqrt(c*d*exp(1))*a^8)/15360/d^5/exp(1)^4/a^4/((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a)^6)","F(-2)",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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 0.5Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 0.52Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 0.45Error: Bad Argument Type","F(-2)",0
460,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 0.45Error: Bad Argument Type","F(-2)",0
461,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/x/(e*x+d),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
462,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.48Error: Bad Argument Type","F(-2)",0
463,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.53Error: Bad Argument Type","F(-2)",0
464,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.11Error: Bad Argument Type","F(-2)",0
465,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.26Error: Bad Argument Type","F(-2)",0
466,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*((-2*exp(1)^3*a^3*exp(2)^3+6*exp(1)^5*a^3*exp(2)^2-6*exp(1)^7*a^3*exp(2)+2*exp(1)^9*a^3)/2/d^3/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))-(-3*a^5*exp(2)^5-10*exp(1)^2*a^5*exp(2)^4-80*exp(1)^4*a^5*exp(2)^3+480*exp(1)^6*a^5*exp(2)^2-640*exp(1)^8*a^5*exp(2)+256*exp(1)^10*a^5-15*c*d^2*a^4*exp(2)^4-30*c^2*d^4*a^3*exp(2)^3+60*c^2*d^4*exp(1)^2*a^3*exp(2)^2-30*c^3*d^6*a^2*exp(2)^2+80*c^3*d^6*exp(1)^2*a^2*exp(2)-80*c^3*d^6*exp(1)^4*a^2-15*c^4*d^8*a*exp(2)+30*c^4*d^8*exp(1)^2*a-3*c^5*d^10)/128/d^3/exp(1)^2/a^2/2/sqrt(-a*d*exp(1))*atan((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))-(-45*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^5*exp(2)^5-150*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^5*exp(2)^4+2640*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^5*exp(2)^3-4320*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^5*exp(2)^2+1920*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^5*exp(2)-225*c*d^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^4*exp(2)^4-450*c^2*d^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^3*exp(2)^3+900*c^2*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^3*exp(2)^2-450*c^3*d^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^2*exp(2)^2+1200*c^3*d^6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^2*exp(2)+2640*c^3*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a^2-225*c^4*d^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a*exp(2)+450*c^4*d^8*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9*a-45*c^5*d^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^9+3840*d*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^8*a^5*exp(2)^3-11520*d*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^8*a^5*exp(2)^2+11520*d*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^8*a^5*exp(2)-3840*d*exp(1)^9*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^8*a^5-11520*c^2*d^5*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^8*a^3*exp(2)-7680*c^3*d^7*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^8*a^2+210*d*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^6*exp(2)^5-580*d*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^6*exp(2)^4-8480*d*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^6*exp(2)^3+16320*d*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^6*exp(2)^2-7680*d*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^6*exp(2)+1050*c*d^3*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^5*exp(2)^4+3840*c*d^3*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^5*exp(2)^3-11520*c*d^3*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^5*exp(2)^2+11520*c*d^3*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^5*exp(2)-3840*c*d^3*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^5+2100*c^2*d^5*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)^3+15000*c^2*d^5*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^4*exp(2)^2+2100*c^3*d^7*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^3*exp(2)^2+16160*c^3*d^7*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^3*exp(2)+3040*c^3*d^7*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^3+1050*c^4*d^9*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^2*exp(2)+5580*c^4*d^9*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a^2+210*c^5*d^11*exp(1)*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^7*a-3840*d^2*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^6*exp(2)^4-3840*d^2*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^6*exp(2)^3+34560*d^2*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^6*exp(2)^2-42240*d^2*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^6*exp(2)+15360*d^2*exp(1)^10*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^6-15360*c*d^4*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^5*exp(2)^3-11520*c*d^4*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^5*exp(2)^2+11520*c*d^4*exp(1)^6*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^5*exp(2)-3840*c*d^4*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^5-23040*c^2*d^6*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^4*exp(2)^2-11520*c^2*d^6*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^4*exp(2)-15360*c^3*d^8*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^3*exp(2)-3840*c^3*d^8*exp(1)^4*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^3-3840*c^4*d^10*exp(1)^2*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^6*a^2+384*d^2*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^7*exp(2)^5+1280*d^2*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^7*exp(2)^4+10240*d^2*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^7*exp(2)^3-23040*d^2*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^7*exp(2)^2+11520*d^2*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^7*exp(2)+1920*c*d^4*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^6*exp(2)^4+11520*c*d^4*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^6*exp(2)^3+11520*c*d^4*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^6*exp(2)^2-26880*c*d^4*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^6*exp(2)+11520*c*d^4*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^6+3840*c^2*d^6*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)^3+26880*c^2*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)^2+11520*c^2*d^6*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5*exp(2)-3840*c^2*d^6*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^5+3840*c^3*d^8*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4*exp(2)^2+24320*c^3*d^8*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4*exp(2)+10240*c^3*d^8*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^4+1920*c^4*d^10*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3*exp(2)+7680*c^4*d^10*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^3+384*c^5*d^12*exp(1)^2*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^5*a^2-38400*d^3*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^7*exp(2)^2+57600*d^3*exp(1)^9*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^7*exp(2)-23040*d^3*exp(1)^11*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^7-19200*c*d^5*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^6*exp(2)^2-6400*c*d^5*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^6*exp(2)+6400*c*d^5*exp(1)^9*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^6-38400*c^2*d^7*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5*exp(2)-3840*c^2*d^7*exp(1)^7*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^5-19200*c^3*d^9*exp(1)^5*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^4*a^4-210*d^3*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8*exp(2)^5-700*d^3*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8*exp(2)^4-5600*d^3*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8*exp(2)^3+14400*d^3*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8*exp(2)^2-7680*d^3*exp(1)^11*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^8*exp(2)-1050*c*d^5*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^7*exp(2)^4+19200*c*d^5*exp(1)^9*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^7*exp(2)-11520*c*d^5*exp(1)^11*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^7-2100*c^2*d^7*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^3+4200*c^2*d^7*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)^2+19200*c^2*d^7*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^6*exp(2)-2100*c^3*d^9*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)^2+5600*c^3*d^9*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5*exp(2)+13600*c^3*d^9*exp(1)^7*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^5-1050*c^4*d^11*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4*exp(2)+2100*c^4*d^11*exp(1)^5*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^4-210*c^5*d^13*exp(1)^3*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^3*a^3+19200*d^4*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^8*exp(2)^2-34560*d^4*exp(1)^10*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^8*exp(2)+15360*d^4*exp(1)^12*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^8-6400*c*d^6*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^7*exp(2)-1280*c*d^6*exp(1)^10*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^7-7680*c^2*d^8*exp(1)^8*sqrt(c*d*exp(1))*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2*a^6+45*d^4*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^5+150*d^4*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^4+1200*d^4*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^3-3360*d^4*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)^2+1920*d^4*exp(1)^12*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^9*exp(2)+225*c*d^6*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^8*exp(2)^4-3840*c*d^6*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^8*exp(2)+3840*c*d^6*exp(1)^12*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^8+450*c^2*d^8*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^3-900*c^2*d^8*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7*exp(2)^2+3840*c^2*d^8*exp(1)^10*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^7+450*c^3*d^10*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6*exp(2)^2-1200*c^3*d^10*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6*exp(2)+1200*c^3*d^10*exp(1)^8*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^6+225*c^4*d^12*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5*exp(2)-450*c^4*d^12*exp(1)^6*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^5+45*c^5*d^14*exp(1)^4*(sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)*a^4-3840*d^5*exp(1)^9*sqrt(c*d*exp(1))*a^9*exp(2)^2+7680*d^5*exp(1)^11*sqrt(c*d*exp(1))*a^9*exp(2)-3840*d^5*exp(1)^13*sqrt(c*d*exp(1))*a^9+1280*c*d^7*exp(1)^9*sqrt(c*d*exp(1))*a^8*exp(2)-1280*c*d^7*exp(1)^11*sqrt(c*d*exp(1))*a^8-768*c^2*d^9*exp(1)^9*sqrt(c*d*exp(1))*a^7)/3840/d^3/exp(1)^2/a^2/((sqrt(a*d*exp(1)+a*x*exp(2)+c*d^2*x+c*d*x^2*exp(1))-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a)^5)","F(-2)",0
467,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
468,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
469,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 0.41Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 0.41Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))","F(-2)",0
474,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
475,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*(2*exp(1)^2/2/d^2/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))-(a*exp(2)+2*exp(1)^2*a+c*d^2)/d^2/exp(1)/a/2/sqrt(-a*d*exp(1))*atan((sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))-((sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)*a*exp(2)+c*d^2*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)-2*d*exp(1)*sqrt(c*d*exp(1))*a)/2/d^2/exp(1)/a/((sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a))","F(-2)",0
476,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2*(-2*exp(1)^3/2/d^3/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2))*atan((-d*sqrt(c*d*exp(1))+(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)*exp(1))/sqrt(-a*d*exp(1)^3+a*d*exp(1)*exp(2)))+(3*a^2*exp(2)^2+4*exp(1)^2*a^2*exp(2)+8*exp(1)^4*a^2+6*c*d^2*a*exp(2)+3*c^2*d^4)/4/d^3/exp(1)^2/a^2/2/sqrt(-a*d*exp(1))*atan((sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)/sqrt(-a*d*exp(1)))-(-3*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)^3*a^2*exp(2)^2-4*exp(1)^2*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)^3*a^2*exp(2)-6*c*d^2*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)^3*a*exp(2)-3*c^2*d^4*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)^3+8*d*exp(1)^3*sqrt(c*d*exp(1))*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)^2*a^2+5*d*exp(1)*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)*a^3*exp(2)^2+4*d*exp(1)^3*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)*a^3*exp(2)+10*c*d^3*exp(1)*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)*a^2*exp(2)+8*c*d^3*exp(1)^3*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)*a^2+5*c^2*d^5*exp(1)*(sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)*a-8*d^2*exp(1)^2*sqrt(c*d*exp(1))*a^3*exp(2)-8*d^2*exp(1)^4*sqrt(c*d*exp(1))*a^3-8*c*d^4*exp(1)^2*sqrt(c*d*exp(1))*a^2)/8/d^3/exp(1)^2/a^2/((sqrt(c*d*exp(1)*x^2+a*d*exp(1)+(c*d^2+a*exp(2))*x)-sqrt(c*d*exp(1))*x)^2-d*exp(1)*a)^2)","F(-2)",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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
483,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
484,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.41Unable to transpose Error: Bad Argument Value","F(-2)",0
485,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
486,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.42Unable to transpose Error: Bad Argument Value","F(-2)",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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.5Unable to transpose Error: Bad Argument Value","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.6Unable to transpose Error: Bad Argument Value","F(-2)",0
489,0,0,0,0.000000," ","integrate(x^3*(1+x)^(1/2)*(x^2-x+1)^(1/2),x, algorithm=""giac"")","\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
490,1,67,0,0.241410," ","integrate(x^2*(1+x)^(1/2)*(x^2-x+1)^(1/2),x, algorithm=""giac"")","\frac{2}{315} \, {\left({\left(5 \, {\left(7 \, x - 23\right)} {\left(x + 1\right)} + 258\right)} {\left(x + 1\right)} - 213\right)} \sqrt{{\left(x + 1\right)}^{2} - 3 \, x} \sqrt{x + 1} + \frac{2}{105} \, {\left(3 \, {\left(5 \, x - 12\right)} {\left(x + 1\right)} + 71\right)} \sqrt{{\left(x + 1\right)}^{2} - 3 \, x} \sqrt{x + 1}"," ",0,"2/315*((5*(7*x - 23)*(x + 1) + 258)*(x + 1) - 213)*sqrt((x + 1)^2 - 3*x)*sqrt(x + 1) + 2/105*(3*(5*x - 12)*(x + 1) + 71)*sqrt((x + 1)^2 - 3*x)*sqrt(x + 1)","B",0
491,0,0,0,0.000000," ","integrate(x*(1+x)^(1/2)*(x^2-x+1)^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
497,1,173,0,0.609851," ","integrate(x^2*(1+x)^(3/2)*(x^2-x+1)^(3/2),x, algorithm=""giac"")","\frac{2}{45045} \, {\left({\left({\left(7 \, {\left(3 \, {\left(11 \, {\left(13 \, x - 80\right)} {\left(x + 1\right)} + 3165\right)} {\left(x + 1\right)} - 16442\right)} {\left(x + 1\right)} + 121227\right)} {\left(x + 1\right)} - 80187\right)} {\left(x + 1\right)} + 34077\right)} \sqrt{{\left(x + 1\right)}^{2} - 3 \, x} \sqrt{x + 1} + \frac{2}{45045} \, {\left({\left(5 \, {\left(7 \, {\left(9 \, {\left(11 \, x - 57\right)} {\left(x + 1\right)} + 1601\right)} {\left(x + 1\right)} - 15837\right)} {\left(x + 1\right)} + 65172\right)} {\left(x + 1\right)} - 34077\right)} \sqrt{{\left(x + 1\right)}^{2} - 3 \, x} \sqrt{x + 1} + \frac{2}{315} \, {\left({\left(5 \, {\left(7 \, x - 23\right)} {\left(x + 1\right)} + 258\right)} {\left(x + 1\right)} - 213\right)} \sqrt{{\left(x + 1\right)}^{2} - 3 \, x} \sqrt{x + 1} + \frac{2}{105} \, {\left(3 \, {\left(5 \, x - 12\right)} {\left(x + 1\right)} + 71\right)} \sqrt{{\left(x + 1\right)}^{2} - 3 \, x} \sqrt{x + 1}"," ",0,"2/45045*(((7*(3*(11*(13*x - 80)*(x + 1) + 3165)*(x + 1) - 16442)*(x + 1) + 121227)*(x + 1) - 80187)*(x + 1) + 34077)*sqrt((x + 1)^2 - 3*x)*sqrt(x + 1) + 2/45045*((5*(7*(9*(11*x - 57)*(x + 1) + 1601)*(x + 1) - 15837)*(x + 1) + 65172)*(x + 1) - 34077)*sqrt((x + 1)^2 - 3*x)*sqrt(x + 1) + 2/315*((5*(7*x - 23)*(x + 1) + 258)*(x + 1) - 213)*sqrt((x + 1)^2 - 3*x)*sqrt(x + 1) + 2/105*(3*(5*x - 12)*(x + 1) + 71)*sqrt((x + 1)^2 - 3*x)*sqrt(x + 1)","B",0
498,0,0,0,0.000000," ","integrate(x*(1+x)^(3/2)*(x^2-x+1)^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
504,1,18,0,0.179056," ","integrate(x^2/(1+x)^(1/2)/(x^2-x+1)^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, \sqrt{{\left(x + 1\right)}^{2} - 3 \, x} \sqrt{x + 1}"," ",0,"2/3*sqrt((x + 1)^2 - 3*x)*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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
511,0,0,0,0.000000," ","integrate(x^2/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(x^{2} - x + 1\right)}^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/((x^2 - x + 1)^(3/2)*(x + 1)^(3/2)), x)","F",0
512,0,0,0,0.000000," ","integrate(x/(1+x)^(3/2)/(x^2-x+1)^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
518,0,0,0,0.000000," ","integrate(x^2/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(x^{2} - x + 1\right)}^{\frac{5}{2}} {\left(x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^2/((x^2 - x + 1)^(5/2)*(x + 1)^(5/2)), x)","F",0
519,0,0,0,0.000000," ","integrate(x/(1+x)^(5/2)/(x^2-x+1)^(5/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
524,1,71,0,0.182871," ","integrate(x/(-1+x)^3/(4*x^2+5*x+3)^2,x, algorithm=""giac"")","\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^{2} + 5 \, x + 3\right)} {\left(x - 1\right)}^{2}} - \frac{11}{4608} \, \log\left(4 \, x^{2} + 5 \, x + 3\right) + \frac{11}{2304} \, \log\left({\left| x - 1 \right|}\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^2 + 5*x + 3)*(x - 1)^2) - 11/4608*log(4*x^2 + 5*x + 3) + 11/2304*log(abs(x - 1))","A",0
525,1,1171,0,0.827012," ","integrate(x^4*(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{5} c - 6 \, a b^{3} c^{2} + 8 \, a^{2} b c^{3}\right)} d e - {\left(b^{6} - 7 \, a b^{4} c + 13 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} e^{2}\right)} c^{2} - 2 \, {\left({\left(b^{3} c^{3} - 2 \, a b c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3}\right)} \sqrt{b^{2} - 4 \, a c} d e + {\left(a b^{3} c^{2} - 2 \, a^{2} b c^{3}\right)} \sqrt{b^{2} - 4 \, a c} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(b^{4} c^{4} - 4 \, a b^{2} c^{5} + 2 \, a^{2} c^{6}\right)} d^{2} - {\left(3 \, b^{5} c^{3} - 14 \, a b^{3} c^{4} + 12 \, a^{2} b c^{5}\right)} d e + {\left(b^{6} c^{2} - 5 \, a b^{4} c^{3} + 5 \, a^{2} b^{2} c^{4}\right)} e^{2}\right)}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{8} d e^{24} - b c^{7} e^{25} + \sqrt{-4 \, {\left(c^{8} d^{2} e^{24} - b c^{7} d e^{25} + a c^{7} e^{26}\right)} c^{8} e^{24} + {\left(2 \, c^{8} d e^{24} - b c^{7} e^{25}\right)}^{2}}\right)} e^{\left(-24\right)}}{c^{8}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{7} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{6} d e + \sqrt{b^{2} - 4 \, a c} a c^{6} e^{2}\right)} c^{2}} + \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{5} c - 6 \, a b^{3} c^{2} + 8 \, a^{2} b c^{3}\right)} d e - {\left(b^{6} - 7 \, a b^{4} c + 13 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} e^{2}\right)} c^{2} + 2 \, {\left({\left(b^{3} c^{3} - 2 \, a b c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3}\right)} \sqrt{b^{2} - 4 \, a c} d e + {\left(a b^{3} c^{2} - 2 \, a^{2} b c^{3}\right)} \sqrt{b^{2} - 4 \, a c} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(b^{4} c^{4} - 4 \, a b^{2} c^{5} + 2 \, a^{2} c^{6}\right)} d^{2} - {\left(3 \, b^{5} c^{3} - 14 \, a b^{3} c^{4} + 12 \, a^{2} b c^{5}\right)} d e + {\left(b^{6} c^{2} - 5 \, a b^{4} c^{3} + 5 \, a^{2} b^{2} c^{4}\right)} e^{2}\right)}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{8} d e^{24} - b c^{7} e^{25} - \sqrt{-4 \, {\left(c^{8} d^{2} e^{24} - b c^{7} d e^{25} + a c^{7} e^{26}\right)} c^{8} e^{24} + {\left(2 \, c^{8} d e^{24} - b c^{7} e^{25}\right)}^{2}}\right)} e^{\left(-24\right)}}{c^{8}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{7} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{6} d e + \sqrt{b^{2} - 4 \, a c} a c^{6} e^{2}\right)} c^{2}} + \frac{2 \, {\left(15 \, {\left(x e + d\right)}^{\frac{7}{2}} c^{6} e^{18} - 42 \, {\left(x e + d\right)}^{\frac{5}{2}} c^{6} d e^{18} + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} c^{6} d^{2} e^{18} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} b c^{5} e^{19} + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} b c^{5} d e^{19} + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} b^{2} c^{4} e^{20} - 35 \, {\left(x e + d\right)}^{\frac{3}{2}} a c^{5} e^{20} - 105 \, \sqrt{x e + d} b^{3} c^{3} e^{21} + 210 \, \sqrt{x e + d} a b c^{4} e^{21}\right)} e^{\left(-21\right)}}{105 \, c^{7}}"," ",0,"-1/4*(sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*((b^5*c - 6*a*b^3*c^2 + 8*a^2*b*c^3)*d*e - (b^6 - 7*a*b^4*c + 13*a^2*b^2*c^2 - 4*a^3*c^3)*e^2)*c^2 - 2*((b^3*c^3 - 2*a*b*c^4)*sqrt(b^2 - 4*a*c)*d^2 - (b^4*c^2 - 2*a*b^2*c^3)*sqrt(b^2 - 4*a*c)*d*e + (a*b^3*c^2 - 2*a^2*b*c^3)*sqrt(b^2 - 4*a*c)*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*(2*(b^4*c^4 - 4*a*b^2*c^5 + 2*a^2*c^6)*d^2 - (3*b^5*c^3 - 14*a*b^3*c^4 + 12*a^2*b*c^5)*d*e + (b^6*c^2 - 5*a*b^4*c^3 + 5*a^2*b^2*c^4)*e^2))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^8*d*e^24 - b*c^7*e^25 + sqrt(-4*(c^8*d^2*e^24 - b*c^7*d*e^25 + a*c^7*e^26)*c^8*e^24 + (2*c^8*d*e^24 - b*c^7*e^25)^2))*e^(-24)/c^8))/((sqrt(b^2 - 4*a*c)*c^7*d^2 - sqrt(b^2 - 4*a*c)*b*c^6*d*e + sqrt(b^2 - 4*a*c)*a*c^6*e^2)*c^2) + 1/4*(sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*((b^5*c - 6*a*b^3*c^2 + 8*a^2*b*c^3)*d*e - (b^6 - 7*a*b^4*c + 13*a^2*b^2*c^2 - 4*a^3*c^3)*e^2)*c^2 + 2*((b^3*c^3 - 2*a*b*c^4)*sqrt(b^2 - 4*a*c)*d^2 - (b^4*c^2 - 2*a*b^2*c^3)*sqrt(b^2 - 4*a*c)*d*e + (a*b^3*c^2 - 2*a^2*b*c^3)*sqrt(b^2 - 4*a*c)*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*(2*(b^4*c^4 - 4*a*b^2*c^5 + 2*a^2*c^6)*d^2 - (3*b^5*c^3 - 14*a*b^3*c^4 + 12*a^2*b*c^5)*d*e + (b^6*c^2 - 5*a*b^4*c^3 + 5*a^2*b^2*c^4)*e^2))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^8*d*e^24 - b*c^7*e^25 - sqrt(-4*(c^8*d^2*e^24 - b*c^7*d*e^25 + a*c^7*e^26)*c^8*e^24 + (2*c^8*d*e^24 - b*c^7*e^25)^2))*e^(-24)/c^8))/((sqrt(b^2 - 4*a*c)*c^7*d^2 - sqrt(b^2 - 4*a*c)*b*c^6*d*e + sqrt(b^2 - 4*a*c)*a*c^6*e^2)*c^2) + 2/105*(15*(x*e + d)^(7/2)*c^6*e^18 - 42*(x*e + d)^(5/2)*c^6*d*e^18 + 35*(x*e + d)^(3/2)*c^6*d^2*e^18 - 21*(x*e + d)^(5/2)*b*c^5*e^19 + 35*(x*e + d)^(3/2)*b*c^5*d*e^19 + 35*(x*e + d)^(3/2)*b^2*c^4*e^20 - 35*(x*e + d)^(3/2)*a*c^5*e^20 - 105*sqrt(x*e + d)*b^3*c^3*e^21 + 210*sqrt(x*e + d)*a*b*c^4*e^21)*e^(-21)/c^7","B",0
526,1,1045,0,0.564017," ","integrate(x^3*(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{4} c - 5 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} d e - {\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} e^{2}\right)} c^{2} - 2 \, {\left({\left(b^{2} c^{3} - a c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} - {\left(b^{3} c^{2} - a b c^{3}\right)} \sqrt{b^{2} - 4 \, a c} d e + {\left(a b^{2} c^{2} - a^{2} c^{3}\right)} \sqrt{b^{2} - 4 \, a c} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - {\left(3 \, b^{4} c^{3} - 11 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 4 \, a b^{3} c^{3} + 2 \, a^{2} b c^{4}\right)} e^{2}\right)}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{6} d e^{12} - b c^{5} e^{13} + \sqrt{-4 \, {\left(c^{6} d^{2} e^{12} - b c^{5} d e^{13} + a c^{5} e^{14}\right)} c^{6} e^{12} + {\left(2 \, c^{6} d e^{12} - b c^{5} e^{13}\right)}^{2}}\right)} e^{\left(-12\right)}}{c^{6}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{6} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{5} d e + \sqrt{b^{2} - 4 \, a c} a c^{5} e^{2}\right)} c^{2}} - \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{4} c - 5 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} d e - {\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} e^{2}\right)} c^{2} + 2 \, {\left({\left(b^{2} c^{3} - a c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} - {\left(b^{3} c^{2} - a b c^{3}\right)} \sqrt{b^{2} - 4 \, a c} d e + {\left(a b^{2} c^{2} - a^{2} c^{3}\right)} \sqrt{b^{2} - 4 \, a c} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - {\left(3 \, b^{4} c^{3} - 11 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 4 \, a b^{3} c^{3} + 2 \, a^{2} b c^{4}\right)} e^{2}\right)}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{6} d e^{12} - b c^{5} e^{13} - \sqrt{-4 \, {\left(c^{6} d^{2} e^{12} - b c^{5} d e^{13} + a c^{5} e^{14}\right)} c^{6} e^{12} + {\left(2 \, c^{6} d e^{12} - b c^{5} e^{13}\right)}^{2}}\right)} e^{\left(-12\right)}}{c^{6}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{6} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{5} d e + \sqrt{b^{2} - 4 \, a c} a c^{5} e^{2}\right)} c^{2}} + \frac{2 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} c^{4} e^{8} - 5 \, {\left(x e + d\right)}^{\frac{3}{2}} c^{4} d e^{8} - 5 \, {\left(x e + d\right)}^{\frac{3}{2}} b c^{3} e^{9} + 15 \, \sqrt{x e + d} b^{2} c^{2} e^{10} - 15 \, \sqrt{x e + d} a c^{3} e^{10}\right)} e^{\left(-10\right)}}{15 \, c^{5}}"," ",0,"1/4*(sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*((b^4*c - 5*a*b^2*c^2 + 4*a^2*c^3)*d*e - (b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*e^2)*c^2 - 2*((b^2*c^3 - a*c^4)*sqrt(b^2 - 4*a*c)*d^2 - (b^3*c^2 - a*b*c^3)*sqrt(b^2 - 4*a*c)*d*e + (a*b^2*c^2 - a^2*c^3)*sqrt(b^2 - 4*a*c)*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*(2*(b^3*c^4 - 3*a*b*c^5)*d^2 - (3*b^4*c^3 - 11*a*b^2*c^4 + 4*a^2*c^5)*d*e + (b^5*c^2 - 4*a*b^3*c^3 + 2*a^2*b*c^4)*e^2))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^6*d*e^12 - b*c^5*e^13 + sqrt(-4*(c^6*d^2*e^12 - b*c^5*d*e^13 + a*c^5*e^14)*c^6*e^12 + (2*c^6*d*e^12 - b*c^5*e^13)^2))*e^(-12)/c^6))/((sqrt(b^2 - 4*a*c)*c^6*d^2 - sqrt(b^2 - 4*a*c)*b*c^5*d*e + sqrt(b^2 - 4*a*c)*a*c^5*e^2)*c^2) - 1/4*(sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*((b^4*c - 5*a*b^2*c^2 + 4*a^2*c^3)*d*e - (b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*e^2)*c^2 + 2*((b^2*c^3 - a*c^4)*sqrt(b^2 - 4*a*c)*d^2 - (b^3*c^2 - a*b*c^3)*sqrt(b^2 - 4*a*c)*d*e + (a*b^2*c^2 - a^2*c^3)*sqrt(b^2 - 4*a*c)*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*(2*(b^3*c^4 - 3*a*b*c^5)*d^2 - (3*b^4*c^3 - 11*a*b^2*c^4 + 4*a^2*c^5)*d*e + (b^5*c^2 - 4*a*b^3*c^3 + 2*a^2*b*c^4)*e^2))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^6*d*e^12 - b*c^5*e^13 - sqrt(-4*(c^6*d^2*e^12 - b*c^5*d*e^13 + a*c^5*e^14)*c^6*e^12 + (2*c^6*d*e^12 - b*c^5*e^13)^2))*e^(-12)/c^6))/((sqrt(b^2 - 4*a*c)*c^6*d^2 - sqrt(b^2 - 4*a*c)*b*c^5*d*e + sqrt(b^2 - 4*a*c)*a*c^5*e^2)*c^2) + 2/15*(3*(x*e + d)^(5/2)*c^4*e^8 - 5*(x*e + d)^(3/2)*c^4*d*e^8 - 5*(x*e + d)^(3/2)*b*c^3*e^9 + 15*sqrt(x*e + d)*b^2*c^2*e^10 - 15*sqrt(x*e + d)*a*c^3*e^10)*e^(-10)/c^5","B",0
527,1,868,0,0.446741," ","integrate(x^2*(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{3} c - 4 \, a b c^{2}\right)} d e - {\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} e^{2}\right)} c^{2} - 2 \, {\left(\sqrt{b^{2} - 4 \, a c} b c^{3} d^{2} - \sqrt{b^{2} - 4 \, a c} b^{2} c^{2} d e + \sqrt{b^{2} - 4 \, a c} a b c^{2} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(b^{2} c^{4} - 2 \, a c^{5}\right)} d^{2} - {\left(3 \, b^{3} c^{3} - 8 \, a b c^{4}\right)} d e + {\left(b^{4} c^{2} - 3 \, a b^{2} c^{3}\right)} e^{2}\right)}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{4} d e^{4} - b c^{3} e^{5} + \sqrt{-4 \, {\left(c^{4} d^{2} e^{4} - b c^{3} d e^{5} + a c^{3} e^{6}\right)} c^{4} e^{4} + {\left(2 \, c^{4} d e^{4} - b c^{3} e^{5}\right)}^{2}}\right)} e^{\left(-4\right)}}{c^{4}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{5} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{4} d e + \sqrt{b^{2} - 4 \, a c} a c^{4} e^{2}\right)} c^{2}} + \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{3} c - 4 \, a b c^{2}\right)} d e - {\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} e^{2}\right)} c^{2} + 2 \, {\left(\sqrt{b^{2} - 4 \, a c} b c^{3} d^{2} - \sqrt{b^{2} - 4 \, a c} b^{2} c^{2} d e + \sqrt{b^{2} - 4 \, a c} a b c^{2} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(b^{2} c^{4} - 2 \, a c^{5}\right)} d^{2} - {\left(3 \, b^{3} c^{3} - 8 \, a b c^{4}\right)} d e + {\left(b^{4} c^{2} - 3 \, a b^{2} c^{3}\right)} e^{2}\right)}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{4} d e^{4} - b c^{3} e^{5} - \sqrt{-4 \, {\left(c^{4} d^{2} e^{4} - b c^{3} d e^{5} + a c^{3} e^{6}\right)} c^{4} e^{4} + {\left(2 \, c^{4} d e^{4} - b c^{3} e^{5}\right)}^{2}}\right)} e^{\left(-4\right)}}{c^{4}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{5} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{4} d e + \sqrt{b^{2} - 4 \, a c} a c^{4} e^{2}\right)} c^{2}} + \frac{2 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} c^{2} e^{2} - 3 \, \sqrt{x e + d} b c e^{3}\right)} e^{\left(-3\right)}}{3 \, c^{3}}"," ",0,"-1/4*(sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*((b^3*c - 4*a*b*c^2)*d*e - (b^4 - 5*a*b^2*c + 4*a^2*c^2)*e^2)*c^2 - 2*(sqrt(b^2 - 4*a*c)*b*c^3*d^2 - sqrt(b^2 - 4*a*c)*b^2*c^2*d*e + sqrt(b^2 - 4*a*c)*a*b*c^2*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*(2*(b^2*c^4 - 2*a*c^5)*d^2 - (3*b^3*c^3 - 8*a*b*c^4)*d*e + (b^4*c^2 - 3*a*b^2*c^3)*e^2))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^4*d*e^4 - b*c^3*e^5 + sqrt(-4*(c^4*d^2*e^4 - b*c^3*d*e^5 + a*c^3*e^6)*c^4*e^4 + (2*c^4*d*e^4 - b*c^3*e^5)^2))*e^(-4)/c^4))/((sqrt(b^2 - 4*a*c)*c^5*d^2 - sqrt(b^2 - 4*a*c)*b*c^4*d*e + sqrt(b^2 - 4*a*c)*a*c^4*e^2)*c^2) + 1/4*(sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*((b^3*c - 4*a*b*c^2)*d*e - (b^4 - 5*a*b^2*c + 4*a^2*c^2)*e^2)*c^2 + 2*(sqrt(b^2 - 4*a*c)*b*c^3*d^2 - sqrt(b^2 - 4*a*c)*b^2*c^2*d*e + sqrt(b^2 - 4*a*c)*a*b*c^2*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*(2*(b^2*c^4 - 2*a*c^5)*d^2 - (3*b^3*c^3 - 8*a*b*c^4)*d*e + (b^4*c^2 - 3*a*b^2*c^3)*e^2))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^4*d*e^4 - b*c^3*e^5 - sqrt(-4*(c^4*d^2*e^4 - b*c^3*d*e^5 + a*c^3*e^6)*c^4*e^4 + (2*c^4*d*e^4 - b*c^3*e^5)^2))*e^(-4)/c^4))/((sqrt(b^2 - 4*a*c)*c^5*d^2 - sqrt(b^2 - 4*a*c)*b*c^4*d*e + sqrt(b^2 - 4*a*c)*a*c^4*e^2)*c^2) + 2/3*((x*e + d)^(3/2)*c^2*e^2 - 3*sqrt(x*e + d)*b*c*e^3)*e^(-3)/c^3","B",0
528,1,753,0,0.411572," ","integrate(x*(e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{2 \, \sqrt{x e + d}}{c} + \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d e - {\left(b^{3} - 4 \, a b c\right)} e^{2}\right)} c^{2} - 2 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{3} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{2} d e + \sqrt{b^{2} - 4 \, a c} a c^{2} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, b c^{4} d^{2} - {\left(3 \, b^{2} c^{3} - 4 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 2 \, a b c^{3}\right)} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, c^{2} d - b c e + \sqrt{-4 \, {\left(c^{2} d^{2} - b c d e + a c e^{2}\right)} c^{2} + {\left(2 \, c^{2} d - b c e\right)}^{2}}}{c^{2}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{4} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{3} d e + \sqrt{b^{2} - 4 \, a c} a c^{3} e^{2}\right)} c^{2}} - \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d e - {\left(b^{3} - 4 \, a b c\right)} e^{2}\right)} c^{2} + 2 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{3} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{2} d e + \sqrt{b^{2} - 4 \, a c} a c^{2} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, b c^{4} d^{2} - {\left(3 \, b^{2} c^{3} - 4 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 2 \, a b c^{3}\right)} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, c^{2} d - b c e - \sqrt{-4 \, {\left(c^{2} d^{2} - b c d e + a c e^{2}\right)} c^{2} + {\left(2 \, c^{2} d - b c e\right)}^{2}}}{c^{2}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{4} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{3} d e + \sqrt{b^{2} - 4 \, a c} a c^{3} e^{2}\right)} c^{2}}"," ",0,"2*sqrt(x*e + d)/c + 1/4*(sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*((b^2*c - 4*a*c^2)*d*e - (b^3 - 4*a*b*c)*e^2)*c^2 - 2*(sqrt(b^2 - 4*a*c)*c^3*d^2 - sqrt(b^2 - 4*a*c)*b*c^2*d*e + sqrt(b^2 - 4*a*c)*a*c^2*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*b*c^4*d^2 - (3*b^2*c^3 - 4*a*c^4)*d*e + (b^3*c^2 - 2*a*b*c^3)*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^2*d - b*c*e + sqrt(-4*(c^2*d^2 - b*c*d*e + a*c*e^2)*c^2 + (2*c^2*d - b*c*e)^2))/c^2))/((sqrt(b^2 - 4*a*c)*c^4*d^2 - sqrt(b^2 - 4*a*c)*b*c^3*d*e + sqrt(b^2 - 4*a*c)*a*c^3*e^2)*c^2) - 1/4*(sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*((b^2*c - 4*a*c^2)*d*e - (b^3 - 4*a*b*c)*e^2)*c^2 + 2*(sqrt(b^2 - 4*a*c)*c^3*d^2 - sqrt(b^2 - 4*a*c)*b*c^2*d*e + sqrt(b^2 - 4*a*c)*a*c^2*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*b*c^4*d^2 - (3*b^2*c^3 - 4*a*c^4)*d*e + (b^3*c^2 - 2*a*b*c^3)*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^2*d - b*c*e - sqrt(-4*(c^2*d^2 - b*c*d*e + a*c*e^2)*c^2 + (2*c^2*d - b*c*e)^2))/c^2))/((sqrt(b^2 - 4*a*c)*c^4*d^2 - sqrt(b^2 - 4*a*c)*b*c^3*d*e + sqrt(b^2 - 4*a*c)*a*c^3*e^2)*c^2)","B",0
529,1,223,0,0.268157," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, c d - b e + \sqrt{{\left(2 \, c d - b e\right)}^{2} - 4 \, {\left(c d^{2} - b d e + a e^{2}\right)} c}}{c}}}\right)}{\sqrt{b^{2} - 4 \, a c} {\left| c \right|}} + \frac{\sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, c d - b e - \sqrt{{\left(2 \, c d - b e\right)}^{2} - 4 \, {\left(c d^{2} - b d e + a e^{2}\right)} c}}{c}}}\right)}{\sqrt{b^{2} - 4 \, a c} {\left| c \right|}}"," ",0,"-sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c*d - b*e + sqrt((2*c*d - b*e)^2 - 4*(c*d^2 - b*d*e + a*e^2)*c))/c))/(sqrt(b^2 - 4*a*c)*abs(c)) + sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c*d - b*e - sqrt((2*c*d - b*e)^2 - 4*(c*d^2 - b*d*e + a*e^2)*c))/c))/(sqrt(b^2 - 4*a*c)*abs(c))","A",0
530,1,712,0,0.392364," ","integrate((e*x+d)^(1/2)/x/(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{2 \, d \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right)}{a \sqrt{-d}} - \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(b^{2} - 4 \, a c\right)} a^{2} d e - 2 \, {\left(\sqrt{b^{2} - 4 \, a c} a c d^{2} - \sqrt{b^{2} - 4 \, a c} a b d e + \sqrt{b^{2} - 4 \, a c} a^{2} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| a \right|} - {\left(2 \, a^{2} b c d^{2} + 2 \, a^{3} b e^{2} - {\left(a^{2} b^{2} + 4 \, a^{3} c\right)} d e\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a c d - a b e + \sqrt{-4 \, {\left(a c d^{2} - a b d e + a^{2} e^{2}\right)} a c + {\left(2 \, a c d - a b e\right)}^{2}}}{a c}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} a^{2} c d^{2} - \sqrt{b^{2} - 4 \, a c} a^{2} b d e + \sqrt{b^{2} - 4 \, a c} a^{3} e^{2}\right)} {\left| a \right|} {\left| c \right|}} + \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(b^{2} - 4 \, a c\right)} a^{2} d e + 2 \, {\left(\sqrt{b^{2} - 4 \, a c} a c d^{2} - \sqrt{b^{2} - 4 \, a c} a b d e + \sqrt{b^{2} - 4 \, a c} a^{2} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| a \right|} - {\left(2 \, a^{2} b c d^{2} + 2 \, a^{3} b e^{2} - {\left(a^{2} b^{2} + 4 \, a^{3} c\right)} d e\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a c d - a b e - \sqrt{-4 \, {\left(a c d^{2} - a b d e + a^{2} e^{2}\right)} a c + {\left(2 \, a c d - a b e\right)}^{2}}}{a c}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} a^{2} c d^{2} - \sqrt{b^{2} - 4 \, a c} a^{2} b d e + \sqrt{b^{2} - 4 \, a c} a^{3} e^{2}\right)} {\left| a \right|} {\left| c \right|}}"," ",0,"2*d*arctan(sqrt(x*e + d)/sqrt(-d))/(a*sqrt(-d)) - 1/4*(sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*(b^2 - 4*a*c)*a^2*d*e - 2*(sqrt(b^2 - 4*a*c)*a*c*d^2 - sqrt(b^2 - 4*a*c)*a*b*d*e + sqrt(b^2 - 4*a*c)*a^2*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(a) - (2*a^2*b*c*d^2 + 2*a^3*b*e^2 - (a^2*b^2 + 4*a^3*c)*d*e)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a*c*d - a*b*e + sqrt(-4*(a*c*d^2 - a*b*d*e + a^2*e^2)*a*c + (2*a*c*d - a*b*e)^2))/(a*c)))/((sqrt(b^2 - 4*a*c)*a^2*c*d^2 - sqrt(b^2 - 4*a*c)*a^2*b*d*e + sqrt(b^2 - 4*a*c)*a^3*e^2)*abs(a)*abs(c)) + 1/4*(sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*(b^2 - 4*a*c)*a^2*d*e + 2*(sqrt(b^2 - 4*a*c)*a*c*d^2 - sqrt(b^2 - 4*a*c)*a*b*d*e + sqrt(b^2 - 4*a*c)*a^2*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(a) - (2*a^2*b*c*d^2 + 2*a^3*b*e^2 - (a^2*b^2 + 4*a^3*c)*d*e)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a*c*d - a*b*e - sqrt(-4*(a*c*d^2 - a*b*d*e + a^2*e^2)*a*c + (2*a*c*d - a*b*e)^2))/(a*c)))/((sqrt(b^2 - 4*a*c)*a^2*c*d^2 - sqrt(b^2 - 4*a*c)*a^2*b*d*e + sqrt(b^2 - 4*a*c)*a^3*e^2)*abs(a)*abs(c))","B",0
531,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)/x^2/(c*x^2+b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 1.17Done","F(-2)",0
532,1,1041,0,0.585067," ","integrate((e*x+d)^(1/2)/x^3/(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} d e - {\left(a b^{3} - 4 \, a^{2} b c\right)} e^{2}\right)} a^{2} - 2 \, {\left({\left(a b^{2} c - a^{2} c^{2}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} - {\left(a b^{3} - a^{2} b c\right)} \sqrt{b^{2} - 4 \, a c} d e + {\left(a^{2} b^{2} - a^{3} c\right)} \sqrt{b^{2} - 4 \, a c} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| a \right|} - \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(a^{2} b^{3} c - 3 \, a^{3} b c^{2}\right)} d^{2} - {\left(a^{2} b^{4} - a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} d e + {\left(a^{3} b^{3} - 2 \, a^{4} b c\right)} e^{2}\right)}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a^{3} c d - a^{3} b e + \sqrt{-4 \, {\left(a^{3} c d^{2} - a^{3} b d e + a^{4} e^{2}\right)} a^{3} c + {\left(2 \, a^{3} c d - a^{3} b e\right)}^{2}}}{a^{3} c}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} a^{4} c d^{2} - \sqrt{b^{2} - 4 \, a c} a^{4} b d e + \sqrt{b^{2} - 4 \, a c} a^{5} e^{2}\right)} {\left| a \right|} {\left| c \right|}} + \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} d e - {\left(a b^{3} - 4 \, a^{2} b c\right)} e^{2}\right)} a^{2} + 2 \, {\left({\left(a b^{2} c - a^{2} c^{2}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} - {\left(a b^{3} - a^{2} b c\right)} \sqrt{b^{2} - 4 \, a c} d e + {\left(a^{2} b^{2} - a^{3} c\right)} \sqrt{b^{2} - 4 \, a c} e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| a \right|} - \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(a^{2} b^{3} c - 3 \, a^{3} b c^{2}\right)} d^{2} - {\left(a^{2} b^{4} - a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} d e + {\left(a^{3} b^{3} - 2 \, a^{4} b c\right)} e^{2}\right)}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a^{3} c d - a^{3} b e - \sqrt{-4 \, {\left(a^{3} c d^{2} - a^{3} b d e + a^{4} e^{2}\right)} a^{3} c + {\left(2 \, a^{3} c d - a^{3} b e\right)}^{2}}}{a^{3} c}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} a^{4} c d^{2} - \sqrt{b^{2} - 4 \, a c} a^{4} b d e + \sqrt{b^{2} - 4 \, a c} a^{5} e^{2}\right)} {\left| a \right|} {\left| c \right|}} + \frac{{\left(8 \, b^{2} d^{2} - 8 \, a c d^{2} - 4 \, a b d e - a^{2} e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right)}{4 \, a^{3} \sqrt{-d} d} + \frac{{\left(4 \, {\left(x e + d\right)}^{\frac{3}{2}} b d e - 4 \, \sqrt{x e + d} b d^{2} e - {\left(x e + d\right)}^{\frac{3}{2}} a e^{2} - \sqrt{x e + d} a d e^{2}\right)} e^{\left(-2\right)}}{4 \, a^{2} d x^{2}}"," ",0,"-1/4*(sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*((b^4 - 5*a*b^2*c + 4*a^2*c^2)*d*e - (a*b^3 - 4*a^2*b*c)*e^2)*a^2 - 2*((a*b^2*c - a^2*c^2)*sqrt(b^2 - 4*a*c)*d^2 - (a*b^3 - a^2*b*c)*sqrt(b^2 - 4*a*c)*d*e + (a^2*b^2 - a^3*c)*sqrt(b^2 - 4*a*c)*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(a) - sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*(2*(a^2*b^3*c - 3*a^3*b*c^2)*d^2 - (a^2*b^4 - a^3*b^2*c - 4*a^4*c^2)*d*e + (a^3*b^3 - 2*a^4*b*c)*e^2))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a^3*c*d - a^3*b*e + sqrt(-4*(a^3*c*d^2 - a^3*b*d*e + a^4*e^2)*a^3*c + (2*a^3*c*d - a^3*b*e)^2))/(a^3*c)))/((sqrt(b^2 - 4*a*c)*a^4*c*d^2 - sqrt(b^2 - 4*a*c)*a^4*b*d*e + sqrt(b^2 - 4*a*c)*a^5*e^2)*abs(a)*abs(c)) + 1/4*(sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*((b^4 - 5*a*b^2*c + 4*a^2*c^2)*d*e - (a*b^3 - 4*a^2*b*c)*e^2)*a^2 + 2*((a*b^2*c - a^2*c^2)*sqrt(b^2 - 4*a*c)*d^2 - (a*b^3 - a^2*b*c)*sqrt(b^2 - 4*a*c)*d*e + (a^2*b^2 - a^3*c)*sqrt(b^2 - 4*a*c)*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(a) - sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*(2*(a^2*b^3*c - 3*a^3*b*c^2)*d^2 - (a^2*b^4 - a^3*b^2*c - 4*a^4*c^2)*d*e + (a^3*b^3 - 2*a^4*b*c)*e^2))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a^3*c*d - a^3*b*e - sqrt(-4*(a^3*c*d^2 - a^3*b*d*e + a^4*e^2)*a^3*c + (2*a^3*c*d - a^3*b*e)^2))/(a^3*c)))/((sqrt(b^2 - 4*a*c)*a^4*c*d^2 - sqrt(b^2 - 4*a*c)*a^4*b*d*e + sqrt(b^2 - 4*a*c)*a^5*e^2)*abs(a)*abs(c)) + 1/4*(8*b^2*d^2 - 8*a*c*d^2 - 4*a*b*d*e - a^2*e^2)*arctan(sqrt(x*e + d)/sqrt(-d))/(a^3*sqrt(-d)*d) + 1/4*(4*(x*e + d)^(3/2)*b*d*e - 4*sqrt(x*e + d)*b*d^2*e - (x*e + d)^(3/2)*a*e^2 - sqrt(x*e + d)*a*d*e^2)*e^(-2)/(a^2*d*x^2)","B",0
533,1,1577,0,0.686268," ","integrate(x^4*(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{{\left({\left({\left(b^{5} c^{2} - 6 \, a b^{3} c^{3} + 8 \, a^{2} b c^{4}\right)} d^{2} e - 2 \, {\left(b^{6} c - 7 \, a b^{4} c^{2} + 13 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} d e^{2} + {\left(b^{7} - 8 \, a b^{5} c + 19 \, a^{2} b^{3} c^{2} - 12 \, a^{3} b c^{3}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} c^{2} - 2 \, {\left({\left(b^{3} c^{4} - 2 \, a b c^{5}\right)} \sqrt{b^{2} - 4 \, a c} d^{3} - {\left(2 \, b^{4} c^{3} - 5 \, a b^{2} c^{4} + a^{2} c^{5}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} e + {\left(b^{5} c^{2} - 2 \, a b^{3} c^{3} - a^{2} b c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d e^{2} - {\left(a b^{4} c^{2} - 3 \, a^{2} b^{2} c^{3} + a^{3} c^{4}\right)} \sqrt{b^{2} - 4 \, a c} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, {\left(b^{4} c^{5} - 4 \, a b^{2} c^{6} + 2 \, a^{2} c^{7}\right)} d^{3} - {\left(5 \, b^{5} c^{4} - 24 \, a b^{3} c^{5} + 22 \, a^{2} b c^{6}\right)} d^{2} e + 2 \, {\left(2 \, b^{6} c^{3} - 11 \, a b^{4} c^{4} + 14 \, a^{2} b^{2} c^{5} - 2 \, a^{3} c^{6}\right)} d e^{2} - {\left(b^{7} c^{2} - 6 \, a b^{5} c^{3} + 9 \, a^{2} b^{3} c^{4} - 2 \, a^{3} b c^{5}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{10} d e^{30} - b c^{9} e^{31} + \sqrt{-4 \, {\left(c^{10} d^{2} e^{30} - b c^{9} d e^{31} + a c^{9} e^{32}\right)} c^{10} e^{30} + {\left(2 \, c^{10} d e^{30} - b c^{9} e^{31}\right)}^{2}}\right)} e^{\left(-30\right)}}{c^{10}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{8} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{7} d e + \sqrt{b^{2} - 4 \, a c} a c^{7} e^{2}\right)} c^{2}} + \frac{{\left({\left({\left(b^{5} c^{2} - 6 \, a b^{3} c^{3} + 8 \, a^{2} b c^{4}\right)} d^{2} e - 2 \, {\left(b^{6} c - 7 \, a b^{4} c^{2} + 13 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} d e^{2} + {\left(b^{7} - 8 \, a b^{5} c + 19 \, a^{2} b^{3} c^{2} - 12 \, a^{3} b c^{3}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} c^{2} + 2 \, {\left({\left(b^{3} c^{4} - 2 \, a b c^{5}\right)} \sqrt{b^{2} - 4 \, a c} d^{3} - {\left(2 \, b^{4} c^{3} - 5 \, a b^{2} c^{4} + a^{2} c^{5}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} e + {\left(b^{5} c^{2} - 2 \, a b^{3} c^{3} - a^{2} b c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d e^{2} - {\left(a b^{4} c^{2} - 3 \, a^{2} b^{2} c^{3} + a^{3} c^{4}\right)} \sqrt{b^{2} - 4 \, a c} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, {\left(b^{4} c^{5} - 4 \, a b^{2} c^{6} + 2 \, a^{2} c^{7}\right)} d^{3} - {\left(5 \, b^{5} c^{4} - 24 \, a b^{3} c^{5} + 22 \, a^{2} b c^{6}\right)} d^{2} e + 2 \, {\left(2 \, b^{6} c^{3} - 11 \, a b^{4} c^{4} + 14 \, a^{2} b^{2} c^{5} - 2 \, a^{3} c^{6}\right)} d e^{2} - {\left(b^{7} c^{2} - 6 \, a b^{5} c^{3} + 9 \, a^{2} b^{3} c^{4} - 2 \, a^{3} b c^{5}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{10} d e^{30} - b c^{9} e^{31} - \sqrt{-4 \, {\left(c^{10} d^{2} e^{30} - b c^{9} d e^{31} + a c^{9} e^{32}\right)} c^{10} e^{30} + {\left(2 \, c^{10} d e^{30} - b c^{9} e^{31}\right)}^{2}}\right)} e^{\left(-30\right)}}{c^{10}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{8} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{7} d e + \sqrt{b^{2} - 4 \, a c} a c^{7} e^{2}\right)} c^{2}} + \frac{2 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} c^{8} e^{24} - 90 \, {\left(x e + d\right)}^{\frac{7}{2}} c^{8} d e^{24} + 63 \, {\left(x e + d\right)}^{\frac{5}{2}} c^{8} d^{2} e^{24} - 45 \, {\left(x e + d\right)}^{\frac{7}{2}} b c^{7} e^{25} + 63 \, {\left(x e + d\right)}^{\frac{5}{2}} b c^{7} d e^{25} + 63 \, {\left(x e + d\right)}^{\frac{5}{2}} b^{2} c^{6} e^{26} - 63 \, {\left(x e + d\right)}^{\frac{5}{2}} a c^{7} e^{26} - 105 \, {\left(x e + d\right)}^{\frac{3}{2}} b^{3} c^{5} e^{27} + 210 \, {\left(x e + d\right)}^{\frac{3}{2}} a b c^{6} e^{27} - 315 \, \sqrt{x e + d} b^{3} c^{5} d e^{27} + 630 \, \sqrt{x e + d} a b c^{6} d e^{27} + 315 \, \sqrt{x e + d} b^{4} c^{4} e^{28} - 945 \, \sqrt{x e + d} a b^{2} c^{5} e^{28} + 315 \, \sqrt{x e + d} a^{2} c^{6} e^{28}\right)} e^{\left(-27\right)}}{315 \, c^{9}}"," ",0,"-1/4*(((b^5*c^2 - 6*a*b^3*c^3 + 8*a^2*b*c^4)*d^2*e - 2*(b^6*c - 7*a*b^4*c^2 + 13*a^2*b^2*c^3 - 4*a^3*c^4)*d*e^2 + (b^7 - 8*a*b^5*c + 19*a^2*b^3*c^2 - 12*a^3*b*c^3)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*c^2 - 2*((b^3*c^4 - 2*a*b*c^5)*sqrt(b^2 - 4*a*c)*d^3 - (2*b^4*c^3 - 5*a*b^2*c^4 + a^2*c^5)*sqrt(b^2 - 4*a*c)*d^2*e + (b^5*c^2 - 2*a*b^3*c^3 - a^2*b*c^4)*sqrt(b^2 - 4*a*c)*d*e^2 - (a*b^4*c^2 - 3*a^2*b^2*c^3 + a^3*c^4)*sqrt(b^2 - 4*a*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*(b^4*c^5 - 4*a*b^2*c^6 + 2*a^2*c^7)*d^3 - (5*b^5*c^4 - 24*a*b^3*c^5 + 22*a^2*b*c^6)*d^2*e + 2*(2*b^6*c^3 - 11*a*b^4*c^4 + 14*a^2*b^2*c^5 - 2*a^3*c^6)*d*e^2 - (b^7*c^2 - 6*a*b^5*c^3 + 9*a^2*b^3*c^4 - 2*a^3*b*c^5)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^10*d*e^30 - b*c^9*e^31 + sqrt(-4*(c^10*d^2*e^30 - b*c^9*d*e^31 + a*c^9*e^32)*c^10*e^30 + (2*c^10*d*e^30 - b*c^9*e^31)^2))*e^(-30)/c^10))/((sqrt(b^2 - 4*a*c)*c^8*d^2 - sqrt(b^2 - 4*a*c)*b*c^7*d*e + sqrt(b^2 - 4*a*c)*a*c^7*e^2)*c^2) + 1/4*(((b^5*c^2 - 6*a*b^3*c^3 + 8*a^2*b*c^4)*d^2*e - 2*(b^6*c - 7*a*b^4*c^2 + 13*a^2*b^2*c^3 - 4*a^3*c^4)*d*e^2 + (b^7 - 8*a*b^5*c + 19*a^2*b^3*c^2 - 12*a^3*b*c^3)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*c^2 + 2*((b^3*c^4 - 2*a*b*c^5)*sqrt(b^2 - 4*a*c)*d^3 - (2*b^4*c^3 - 5*a*b^2*c^4 + a^2*c^5)*sqrt(b^2 - 4*a*c)*d^2*e + (b^5*c^2 - 2*a*b^3*c^3 - a^2*b*c^4)*sqrt(b^2 - 4*a*c)*d*e^2 - (a*b^4*c^2 - 3*a^2*b^2*c^3 + a^3*c^4)*sqrt(b^2 - 4*a*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*(b^4*c^5 - 4*a*b^2*c^6 + 2*a^2*c^7)*d^3 - (5*b^5*c^4 - 24*a*b^3*c^5 + 22*a^2*b*c^6)*d^2*e + 2*(2*b^6*c^3 - 11*a*b^4*c^4 + 14*a^2*b^2*c^5 - 2*a^3*c^6)*d*e^2 - (b^7*c^2 - 6*a*b^5*c^3 + 9*a^2*b^3*c^4 - 2*a^3*b*c^5)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^10*d*e^30 - b*c^9*e^31 - sqrt(-4*(c^10*d^2*e^30 - b*c^9*d*e^31 + a*c^9*e^32)*c^10*e^30 + (2*c^10*d*e^30 - b*c^9*e^31)^2))*e^(-30)/c^10))/((sqrt(b^2 - 4*a*c)*c^8*d^2 - sqrt(b^2 - 4*a*c)*b*c^7*d*e + sqrt(b^2 - 4*a*c)*a*c^7*e^2)*c^2) + 2/315*(35*(x*e + d)^(9/2)*c^8*e^24 - 90*(x*e + d)^(7/2)*c^8*d*e^24 + 63*(x*e + d)^(5/2)*c^8*d^2*e^24 - 45*(x*e + d)^(7/2)*b*c^7*e^25 + 63*(x*e + d)^(5/2)*b*c^7*d*e^25 + 63*(x*e + d)^(5/2)*b^2*c^6*e^26 - 63*(x*e + d)^(5/2)*a*c^7*e^26 - 105*(x*e + d)^(3/2)*b^3*c^5*e^27 + 210*(x*e + d)^(3/2)*a*b*c^6*e^27 - 315*sqrt(x*e + d)*b^3*c^5*d*e^27 + 630*sqrt(x*e + d)*a*b*c^6*d*e^27 + 315*sqrt(x*e + d)*b^4*c^4*e^28 - 945*sqrt(x*e + d)*a*b^2*c^5*e^28 + 315*sqrt(x*e + d)*a^2*c^6*e^28)*e^(-27)/c^9","B",0
534,1,1362,0,0.583896," ","integrate(x^3*(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{{\left({\left({\left(b^{4} c^{2} - 5 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d^{2} e - 2 \, {\left(b^{5} c - 6 \, a b^{3} c^{2} + 8 \, a^{2} b c^{3}\right)} d e^{2} + {\left(b^{6} - 7 \, a b^{4} c + 13 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} c^{2} - 2 \, {\left({\left(b^{2} c^{4} - a c^{5}\right)} \sqrt{b^{2} - 4 \, a c} d^{3} - {\left(2 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} e + {\left(b^{4} c^{2} - a b^{2} c^{3} - a^{2} c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d e^{2} - {\left(a b^{3} c^{2} - 2 \, a^{2} b c^{3}\right)} \sqrt{b^{2} - 4 \, a c} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, {\left(b^{3} c^{5} - 3 \, a b c^{6}\right)} d^{3} - {\left(5 \, b^{4} c^{4} - 19 \, a b^{2} c^{5} + 8 \, a^{2} c^{6}\right)} d^{2} e + 2 \, {\left(2 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 7 \, a^{2} b c^{5}\right)} d e^{2} - {\left(b^{6} c^{2} - 5 \, a b^{4} c^{3} + 5 \, a^{2} b^{2} c^{4}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{8} d e^{16} - b c^{7} e^{17} + \sqrt{-4 \, {\left(c^{8} d^{2} e^{16} - b c^{7} d e^{17} + a c^{7} e^{18}\right)} c^{8} e^{16} + {\left(2 \, c^{8} d e^{16} - b c^{7} e^{17}\right)}^{2}}\right)} e^{\left(-16\right)}}{c^{8}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{7} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{6} d e + \sqrt{b^{2} - 4 \, a c} a c^{6} e^{2}\right)} c^{2}} - \frac{{\left({\left({\left(b^{4} c^{2} - 5 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d^{2} e - 2 \, {\left(b^{5} c - 6 \, a b^{3} c^{2} + 8 \, a^{2} b c^{3}\right)} d e^{2} + {\left(b^{6} - 7 \, a b^{4} c + 13 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} c^{2} + 2 \, {\left({\left(b^{2} c^{4} - a c^{5}\right)} \sqrt{b^{2} - 4 \, a c} d^{3} - {\left(2 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} e + {\left(b^{4} c^{2} - a b^{2} c^{3} - a^{2} c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d e^{2} - {\left(a b^{3} c^{2} - 2 \, a^{2} b c^{3}\right)} \sqrt{b^{2} - 4 \, a c} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, {\left(b^{3} c^{5} - 3 \, a b c^{6}\right)} d^{3} - {\left(5 \, b^{4} c^{4} - 19 \, a b^{2} c^{5} + 8 \, a^{2} c^{6}\right)} d^{2} e + 2 \, {\left(2 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 7 \, a^{2} b c^{5}\right)} d e^{2} - {\left(b^{6} c^{2} - 5 \, a b^{4} c^{3} + 5 \, a^{2} b^{2} c^{4}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{8} d e^{16} - b c^{7} e^{17} - \sqrt{-4 \, {\left(c^{8} d^{2} e^{16} - b c^{7} d e^{17} + a c^{7} e^{18}\right)} c^{8} e^{16} + {\left(2 \, c^{8} d e^{16} - b c^{7} e^{17}\right)}^{2}}\right)} e^{\left(-16\right)}}{c^{8}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{7} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{6} d e + \sqrt{b^{2} - 4 \, a c} a c^{6} e^{2}\right)} c^{2}} + \frac{2 \, {\left(15 \, {\left(x e + d\right)}^{\frac{7}{2}} c^{6} e^{12} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} c^{6} d e^{12} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} b c^{5} e^{13} + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} b^{2} c^{4} e^{14} - 35 \, {\left(x e + d\right)}^{\frac{3}{2}} a c^{5} e^{14} + 105 \, \sqrt{x e + d} b^{2} c^{4} d e^{14} - 105 \, \sqrt{x e + d} a c^{5} d e^{14} - 105 \, \sqrt{x e + d} b^{3} c^{3} e^{15} + 210 \, \sqrt{x e + d} a b c^{4} e^{15}\right)} e^{\left(-14\right)}}{105 \, c^{7}}"," ",0,"1/4*(((b^4*c^2 - 5*a*b^2*c^3 + 4*a^2*c^4)*d^2*e - 2*(b^5*c - 6*a*b^3*c^2 + 8*a^2*b*c^3)*d*e^2 + (b^6 - 7*a*b^4*c + 13*a^2*b^2*c^2 - 4*a^3*c^3)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*c^2 - 2*((b^2*c^4 - a*c^5)*sqrt(b^2 - 4*a*c)*d^3 - (2*b^3*c^3 - 3*a*b*c^4)*sqrt(b^2 - 4*a*c)*d^2*e + (b^4*c^2 - a*b^2*c^3 - a^2*c^4)*sqrt(b^2 - 4*a*c)*d*e^2 - (a*b^3*c^2 - 2*a^2*b*c^3)*sqrt(b^2 - 4*a*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*(b^3*c^5 - 3*a*b*c^6)*d^3 - (5*b^4*c^4 - 19*a*b^2*c^5 + 8*a^2*c^6)*d^2*e + 2*(2*b^5*c^3 - 9*a*b^3*c^4 + 7*a^2*b*c^5)*d*e^2 - (b^6*c^2 - 5*a*b^4*c^3 + 5*a^2*b^2*c^4)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^8*d*e^16 - b*c^7*e^17 + sqrt(-4*(c^8*d^2*e^16 - b*c^7*d*e^17 + a*c^7*e^18)*c^8*e^16 + (2*c^8*d*e^16 - b*c^7*e^17)^2))*e^(-16)/c^8))/((sqrt(b^2 - 4*a*c)*c^7*d^2 - sqrt(b^2 - 4*a*c)*b*c^6*d*e + sqrt(b^2 - 4*a*c)*a*c^6*e^2)*c^2) - 1/4*(((b^4*c^2 - 5*a*b^2*c^3 + 4*a^2*c^4)*d^2*e - 2*(b^5*c - 6*a*b^3*c^2 + 8*a^2*b*c^3)*d*e^2 + (b^6 - 7*a*b^4*c + 13*a^2*b^2*c^2 - 4*a^3*c^3)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*c^2 + 2*((b^2*c^4 - a*c^5)*sqrt(b^2 - 4*a*c)*d^3 - (2*b^3*c^3 - 3*a*b*c^4)*sqrt(b^2 - 4*a*c)*d^2*e + (b^4*c^2 - a*b^2*c^3 - a^2*c^4)*sqrt(b^2 - 4*a*c)*d*e^2 - (a*b^3*c^2 - 2*a^2*b*c^3)*sqrt(b^2 - 4*a*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*(b^3*c^5 - 3*a*b*c^6)*d^3 - (5*b^4*c^4 - 19*a*b^2*c^5 + 8*a^2*c^6)*d^2*e + 2*(2*b^5*c^3 - 9*a*b^3*c^4 + 7*a^2*b*c^5)*d*e^2 - (b^6*c^2 - 5*a*b^4*c^3 + 5*a^2*b^2*c^4)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^8*d*e^16 - b*c^7*e^17 - sqrt(-4*(c^8*d^2*e^16 - b*c^7*d*e^17 + a*c^7*e^18)*c^8*e^16 + (2*c^8*d*e^16 - b*c^7*e^17)^2))*e^(-16)/c^8))/((sqrt(b^2 - 4*a*c)*c^7*d^2 - sqrt(b^2 - 4*a*c)*b*c^6*d*e + sqrt(b^2 - 4*a*c)*a*c^6*e^2)*c^2) + 2/105*(15*(x*e + d)^(7/2)*c^6*e^12 - 21*(x*e + d)^(5/2)*c^6*d*e^12 - 21*(x*e + d)^(5/2)*b*c^5*e^13 + 35*(x*e + d)^(3/2)*b^2*c^4*e^14 - 35*(x*e + d)^(3/2)*a*c^5*e^14 + 105*sqrt(x*e + d)*b^2*c^4*d*e^14 - 105*sqrt(x*e + d)*a*c^5*d*e^14 - 105*sqrt(x*e + d)*b^3*c^3*e^15 + 210*sqrt(x*e + d)*a*b*c^4*e^15)*e^(-14)/c^7","B",0
535,1,1160,0,0.526118," ","integrate(x^2*(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{{\left({\left({\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} d^{2} e - 2 \, {\left(b^{4} c - 5 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} d e^{2} + {\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} c^{2} - 2 \, {\left(\sqrt{b^{2} - 4 \, a c} b c^{4} d^{3} + \sqrt{b^{2} - 4 \, a c} b^{3} c^{2} d e^{2} - {\left(2 \, b^{2} c^{3} - a c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} e - {\left(a b^{2} c^{2} - a^{2} c^{3}\right)} \sqrt{b^{2} - 4 \, a c} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, {\left(b^{2} c^{5} - 2 \, a c^{6}\right)} d^{3} - {\left(5 \, b^{3} c^{4} - 14 \, a b c^{5}\right)} d^{2} e + 2 \, {\left(2 \, b^{4} c^{3} - 7 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e^{2} - {\left(b^{5} c^{2} - 4 \, a b^{3} c^{3} + 2 \, a^{2} b c^{4}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{6} d e^{6} - b c^{5} e^{7} + \sqrt{-4 \, {\left(c^{6} d^{2} e^{6} - b c^{5} d e^{7} + a c^{5} e^{8}\right)} c^{6} e^{6} + {\left(2 \, c^{6} d e^{6} - b c^{5} e^{7}\right)}^{2}}\right)} e^{\left(-6\right)}}{c^{6}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{6} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{5} d e + \sqrt{b^{2} - 4 \, a c} a c^{5} e^{2}\right)} c^{2}} + \frac{{\left({\left({\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} d^{2} e - 2 \, {\left(b^{4} c - 5 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} d e^{2} + {\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} c^{2} + 2 \, {\left(\sqrt{b^{2} - 4 \, a c} b c^{4} d^{3} + \sqrt{b^{2} - 4 \, a c} b^{3} c^{2} d e^{2} - {\left(2 \, b^{2} c^{3} - a c^{4}\right)} \sqrt{b^{2} - 4 \, a c} d^{2} e - {\left(a b^{2} c^{2} - a^{2} c^{3}\right)} \sqrt{b^{2} - 4 \, a c} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, {\left(b^{2} c^{5} - 2 \, a c^{6}\right)} d^{3} - {\left(5 \, b^{3} c^{4} - 14 \, a b c^{5}\right)} d^{2} e + 2 \, {\left(2 \, b^{4} c^{3} - 7 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e^{2} - {\left(b^{5} c^{2} - 4 \, a b^{3} c^{3} + 2 \, a^{2} b c^{4}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{{\left(2 \, c^{6} d e^{6} - b c^{5} e^{7} - \sqrt{-4 \, {\left(c^{6} d^{2} e^{6} - b c^{5} d e^{7} + a c^{5} e^{8}\right)} c^{6} e^{6} + {\left(2 \, c^{6} d e^{6} - b c^{5} e^{7}\right)}^{2}}\right)} e^{\left(-6\right)}}{c^{6}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{6} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{5} d e + \sqrt{b^{2} - 4 \, a c} a c^{5} e^{2}\right)} c^{2}} + \frac{2 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} c^{4} e^{4} - 5 \, {\left(x e + d\right)}^{\frac{3}{2}} b c^{3} e^{5} - 15 \, \sqrt{x e + d} b c^{3} d e^{5} + 15 \, \sqrt{x e + d} b^{2} c^{2} e^{6} - 15 \, \sqrt{x e + d} a c^{3} e^{6}\right)} e^{\left(-5\right)}}{15 \, c^{5}}"," ",0,"-1/4*(((b^3*c^2 - 4*a*b*c^3)*d^2*e - 2*(b^4*c - 5*a*b^2*c^2 + 4*a^2*c^3)*d*e^2 + (b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*c^2 - 2*(sqrt(b^2 - 4*a*c)*b*c^4*d^3 + sqrt(b^2 - 4*a*c)*b^3*c^2*d*e^2 - (2*b^2*c^3 - a*c^4)*sqrt(b^2 - 4*a*c)*d^2*e - (a*b^2*c^2 - a^2*c^3)*sqrt(b^2 - 4*a*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*(b^2*c^5 - 2*a*c^6)*d^3 - (5*b^3*c^4 - 14*a*b*c^5)*d^2*e + 2*(2*b^4*c^3 - 7*a*b^2*c^4 + 2*a^2*c^5)*d*e^2 - (b^5*c^2 - 4*a*b^3*c^3 + 2*a^2*b*c^4)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^6*d*e^6 - b*c^5*e^7 + sqrt(-4*(c^6*d^2*e^6 - b*c^5*d*e^7 + a*c^5*e^8)*c^6*e^6 + (2*c^6*d*e^6 - b*c^5*e^7)^2))*e^(-6)/c^6))/((sqrt(b^2 - 4*a*c)*c^6*d^2 - sqrt(b^2 - 4*a*c)*b*c^5*d*e + sqrt(b^2 - 4*a*c)*a*c^5*e^2)*c^2) + 1/4*(((b^3*c^2 - 4*a*b*c^3)*d^2*e - 2*(b^4*c - 5*a*b^2*c^2 + 4*a^2*c^3)*d*e^2 + (b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*c^2 + 2*(sqrt(b^2 - 4*a*c)*b*c^4*d^3 + sqrt(b^2 - 4*a*c)*b^3*c^2*d*e^2 - (2*b^2*c^3 - a*c^4)*sqrt(b^2 - 4*a*c)*d^2*e - (a*b^2*c^2 - a^2*c^3)*sqrt(b^2 - 4*a*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*(b^2*c^5 - 2*a*c^6)*d^3 - (5*b^3*c^4 - 14*a*b*c^5)*d^2*e + 2*(2*b^4*c^3 - 7*a*b^2*c^4 + 2*a^2*c^5)*d*e^2 - (b^5*c^2 - 4*a*b^3*c^3 + 2*a^2*b*c^4)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^6*d*e^6 - b*c^5*e^7 - sqrt(-4*(c^6*d^2*e^6 - b*c^5*d*e^7 + a*c^5*e^8)*c^6*e^6 + (2*c^6*d*e^6 - b*c^5*e^7)^2))*e^(-6)/c^6))/((sqrt(b^2 - 4*a*c)*c^6*d^2 - sqrt(b^2 - 4*a*c)*b*c^5*d*e + sqrt(b^2 - 4*a*c)*a*c^5*e^2)*c^2) + 2/15*(3*(x*e + d)^(5/2)*c^4*e^4 - 5*(x*e + d)^(3/2)*b*c^3*e^5 - 15*sqrt(x*e + d)*b*c^3*d*e^5 + 15*sqrt(x*e + d)*b^2*c^2*e^6 - 15*sqrt(x*e + d)*a*c^3*e^6)*e^(-5)/c^5","B",0
536,1,978,0,0.459922," ","integrate(x*(e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{{\left({\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} d^{2} e - 2 \, {\left(b^{3} c - 4 \, a b c^{2}\right)} d e^{2} + {\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} c^{2} - 2 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{4} d^{3} - 2 \, \sqrt{b^{2} - 4 \, a c} b c^{3} d^{2} e - \sqrt{b^{2} - 4 \, a c} a b c^{2} e^{3} + {\left(b^{2} c^{2} + a c^{3}\right)} \sqrt{b^{2} - 4 \, a c} d e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, b c^{5} d^{3} - {\left(5 \, b^{2} c^{4} - 8 \, a c^{5}\right)} d^{2} e + 2 \, {\left(2 \, b^{3} c^{3} - 5 \, a b c^{4}\right)} d e^{2} - {\left(b^{4} c^{2} - 3 \, a b^{2} c^{3}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, c^{4} d - b c^{3} e + \sqrt{-4 \, {\left(c^{4} d^{2} - b c^{3} d e + a c^{3} e^{2}\right)} c^{4} + {\left(2 \, c^{4} d - b c^{3} e\right)}^{2}}}{c^{4}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{5} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{4} d e + \sqrt{b^{2} - 4 \, a c} a c^{4} e^{2}\right)} c^{2}} - \frac{{\left({\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} d^{2} e - 2 \, {\left(b^{3} c - 4 \, a b c^{2}\right)} d e^{2} + {\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} c^{2} + 2 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{4} d^{3} - 2 \, \sqrt{b^{2} - 4 \, a c} b c^{3} d^{2} e - \sqrt{b^{2} - 4 \, a c} a b c^{2} e^{3} + {\left(b^{2} c^{2} + a c^{3}\right)} \sqrt{b^{2} - 4 \, a c} d e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} + {\left(2 \, b c^{5} d^{3} - {\left(5 \, b^{2} c^{4} - 8 \, a c^{5}\right)} d^{2} e + 2 \, {\left(2 \, b^{3} c^{3} - 5 \, a b c^{4}\right)} d e^{2} - {\left(b^{4} c^{2} - 3 \, a b^{2} c^{3}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, c^{4} d - b c^{3} e - \sqrt{-4 \, {\left(c^{4} d^{2} - b c^{3} d e + a c^{3} e^{2}\right)} c^{4} + {\left(2 \, c^{4} d - b c^{3} e\right)}^{2}}}{c^{4}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{5} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{4} d e + \sqrt{b^{2} - 4 \, a c} a c^{4} e^{2}\right)} c^{2}} + \frac{2 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} c^{2} + 3 \, \sqrt{x e + d} c^{2} d - 3 \, \sqrt{x e + d} b c e\right)}}{3 \, c^{3}}"," ",0,"1/4*(((b^2*c^2 - 4*a*c^3)*d^2*e - 2*(b^3*c - 4*a*b*c^2)*d*e^2 + (b^4 - 5*a*b^2*c + 4*a^2*c^2)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*c^2 - 2*(sqrt(b^2 - 4*a*c)*c^4*d^3 - 2*sqrt(b^2 - 4*a*c)*b*c^3*d^2*e - sqrt(b^2 - 4*a*c)*a*b*c^2*e^3 + (b^2*c^2 + a*c^3)*sqrt(b^2 - 4*a*c)*d*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*b*c^5*d^3 - (5*b^2*c^4 - 8*a*c^5)*d^2*e + 2*(2*b^3*c^3 - 5*a*b*c^4)*d*e^2 - (b^4*c^2 - 3*a*b^2*c^3)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^4*d - b*c^3*e + sqrt(-4*(c^4*d^2 - b*c^3*d*e + a*c^3*e^2)*c^4 + (2*c^4*d - b*c^3*e)^2))/c^4))/((sqrt(b^2 - 4*a*c)*c^5*d^2 - sqrt(b^2 - 4*a*c)*b*c^4*d*e + sqrt(b^2 - 4*a*c)*a*c^4*e^2)*c^2) - 1/4*(((b^2*c^2 - 4*a*c^3)*d^2*e - 2*(b^3*c - 4*a*b*c^2)*d*e^2 + (b^4 - 5*a*b^2*c + 4*a^2*c^2)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*c^2 + 2*(sqrt(b^2 - 4*a*c)*c^4*d^3 - 2*sqrt(b^2 - 4*a*c)*b*c^3*d^2*e - sqrt(b^2 - 4*a*c)*a*b*c^2*e^3 + (b^2*c^2 + a*c^3)*sqrt(b^2 - 4*a*c)*d*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(c) + (2*b*c^5*d^3 - (5*b^2*c^4 - 8*a*c^5)*d^2*e + 2*(2*b^3*c^3 - 5*a*b*c^4)*d*e^2 - (b^4*c^2 - 3*a*b^2*c^3)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^4*d - b*c^3*e - sqrt(-4*(c^4*d^2 - b*c^3*d*e + a*c^3*e^2)*c^4 + (2*c^4*d - b*c^3*e)^2))/c^4))/((sqrt(b^2 - 4*a*c)*c^5*d^2 - sqrt(b^2 - 4*a*c)*b*c^4*d*e + sqrt(b^2 - 4*a*c)*a*c^4*e^2)*c^2) + 2/3*((x*e + d)^(3/2)*c^2 + 3*sqrt(x*e + d)*c^2*d - 3*sqrt(x*e + d)*b*c*e)/c^3","B",0
537,1,783,0,0.422385," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{2 \, \sqrt{x e + d} e}{c} + \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{2} - {\left(b^{3} - 4 \, a b c\right)} e^{3}\right)} c^{2} - 2 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{3} d^{2} e - \sqrt{b^{2} - 4 \, a c} b c^{2} d e^{2} + \sqrt{b^{2} - 4 \, a c} a c^{2} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} - {\left(4 \, c^{5} d^{3} - 6 \, b c^{4} d^{2} e + 4 \, {\left(b^{2} c^{3} - a c^{4}\right)} d e^{2} - {\left(b^{3} c^{2} - 2 \, a b c^{3}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, c^{2} d - b c e + \sqrt{-4 \, {\left(c^{2} d^{2} - b c d e + a c e^{2}\right)} c^{2} + {\left(2 \, c^{2} d - b c e\right)}^{2}}}{c^{2}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{4} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{3} d e + \sqrt{b^{2} - 4 \, a c} a c^{3} e^{2}\right)} c^{2}} - \frac{{\left(\sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{2} - {\left(b^{3} - 4 \, a b c\right)} e^{3}\right)} c^{2} + 2 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{3} d^{2} e - \sqrt{b^{2} - 4 \, a c} b c^{2} d e^{2} + \sqrt{b^{2} - 4 \, a c} a c^{2} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| c \right|} - {\left(4 \, c^{5} d^{3} - 6 \, b c^{4} d^{2} e + 4 \, {\left(b^{2} c^{3} - a c^{4}\right)} d e^{2} - {\left(b^{3} c^{2} - 2 \, a b c^{3}\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, c^{2} d - b c e - \sqrt{-4 \, {\left(c^{2} d^{2} - b c d e + a c e^{2}\right)} c^{2} + {\left(2 \, c^{2} d - b c e\right)}^{2}}}{c^{2}}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} c^{4} d^{2} - \sqrt{b^{2} - 4 \, a c} b c^{3} d e + \sqrt{b^{2} - 4 \, a c} a c^{3} e^{2}\right)} c^{2}}"," ",0,"2*sqrt(x*e + d)*e/c + 1/4*(sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*(2*(b^2*c - 4*a*c^2)*d*e^2 - (b^3 - 4*a*b*c)*e^3)*c^2 - 2*(sqrt(b^2 - 4*a*c)*c^3*d^2*e - sqrt(b^2 - 4*a*c)*b*c^2*d*e^2 + sqrt(b^2 - 4*a*c)*a*c^2*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(c) - (4*c^5*d^3 - 6*b*c^4*d^2*e + 4*(b^2*c^3 - a*c^4)*d*e^2 - (b^3*c^2 - 2*a*b*c^3)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^2*d - b*c*e + sqrt(-4*(c^2*d^2 - b*c*d*e + a*c*e^2)*c^2 + (2*c^2*d - b*c*e)^2))/c^2))/((sqrt(b^2 - 4*a*c)*c^4*d^2 - sqrt(b^2 - 4*a*c)*b*c^3*d*e + sqrt(b^2 - 4*a*c)*a*c^3*e^2)*c^2) - 1/4*(sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*(2*(b^2*c - 4*a*c^2)*d*e^2 - (b^3 - 4*a*b*c)*e^3)*c^2 + 2*(sqrt(b^2 - 4*a*c)*c^3*d^2*e - sqrt(b^2 - 4*a*c)*b*c^2*d*e^2 + sqrt(b^2 - 4*a*c)*a*c^2*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(c) - (4*c^5*d^3 - 6*b*c^4*d^2*e + 4*(b^2*c^3 - a*c^4)*d*e^2 - (b^3*c^2 - 2*a*b*c^3)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*c^2*d - b*c*e - sqrt(-4*(c^2*d^2 - b*c*d*e + a*c*e^2)*c^2 + (2*c^2*d - b*c*e)^2))/c^2))/((sqrt(b^2 - 4*a*c)*c^4*d^2 - sqrt(b^2 - 4*a*c)*b*c^3*d*e + sqrt(b^2 - 4*a*c)*a*c^3*e^2)*c^2)","B",0
538,1,822,0,0.405156," ","integrate((e*x+d)^(3/2)/x/(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{2 \, d^{2} \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right)}{a \sqrt{-d}} - \frac{{\left({\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{2} e - {\left(a b^{2} - 4 \, a^{2} c\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} a^{2} - 2 \, {\left(\sqrt{b^{2} - 4 \, a c} a c^{2} d^{3} - \sqrt{b^{2} - 4 \, a c} a b c d^{2} e + \sqrt{b^{2} - 4 \, a c} a^{2} c d e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| a \right|} - {\left(2 \, a^{2} b c^{2} d^{3} + 6 \, a^{3} b c d e^{2} - a^{3} b^{2} e^{3} - {\left(a^{2} b^{2} c + 8 \, a^{3} c^{2}\right)} d^{2} e\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a c d - a b e + \sqrt{-4 \, {\left(a c d^{2} - a b d e + a^{2} e^{2}\right)} a c + {\left(2 \, a c d - a b e\right)}^{2}}}{a c}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} a^{2} c^{2} d^{2} - \sqrt{b^{2} - 4 \, a c} a^{2} b c d e + \sqrt{b^{2} - 4 \, a c} a^{3} c e^{2}\right)} {\left| a \right|} {\left| c \right|}} + \frac{{\left({\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{2} e - {\left(a b^{2} - 4 \, a^{2} c\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} a^{2} + 2 \, {\left(\sqrt{b^{2} - 4 \, a c} a c^{2} d^{3} - \sqrt{b^{2} - 4 \, a c} a b c d^{2} e + \sqrt{b^{2} - 4 \, a c} a^{2} c d e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| a \right|} - {\left(2 \, a^{2} b c^{2} d^{3} + 6 \, a^{3} b c d e^{2} - a^{3} b^{2} e^{3} - {\left(a^{2} b^{2} c + 8 \, a^{3} c^{2}\right)} d^{2} e\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a c d - a b e - \sqrt{-4 \, {\left(a c d^{2} - a b d e + a^{2} e^{2}\right)} a c + {\left(2 \, a c d - a b e\right)}^{2}}}{a c}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} a^{2} c^{2} d^{2} - \sqrt{b^{2} - 4 \, a c} a^{2} b c d e + \sqrt{b^{2} - 4 \, a c} a^{3} c e^{2}\right)} {\left| a \right|} {\left| c \right|}}"," ",0,"2*d^2*arctan(sqrt(x*e + d)/sqrt(-d))/(a*sqrt(-d)) - 1/4*(((b^2*c - 4*a*c^2)*d^2*e - (a*b^2 - 4*a^2*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*a^2 - 2*(sqrt(b^2 - 4*a*c)*a*c^2*d^3 - sqrt(b^2 - 4*a*c)*a*b*c*d^2*e + sqrt(b^2 - 4*a*c)*a^2*c*d*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(a) - (2*a^2*b*c^2*d^3 + 6*a^3*b*c*d*e^2 - a^3*b^2*e^3 - (a^2*b^2*c + 8*a^3*c^2)*d^2*e)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a*c*d - a*b*e + sqrt(-4*(a*c*d^2 - a*b*d*e + a^2*e^2)*a*c + (2*a*c*d - a*b*e)^2))/(a*c)))/((sqrt(b^2 - 4*a*c)*a^2*c^2*d^2 - sqrt(b^2 - 4*a*c)*a^2*b*c*d*e + sqrt(b^2 - 4*a*c)*a^3*c*e^2)*abs(a)*abs(c)) + 1/4*(((b^2*c - 4*a*c^2)*d^2*e - (a*b^2 - 4*a^2*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*a^2 + 2*(sqrt(b^2 - 4*a*c)*a*c^2*d^3 - sqrt(b^2 - 4*a*c)*a*b*c*d^2*e + sqrt(b^2 - 4*a*c)*a^2*c*d*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(a) - (2*a^2*b*c^2*d^3 + 6*a^3*b*c*d*e^2 - a^3*b^2*e^3 - (a^2*b^2*c + 8*a^3*c^2)*d^2*e)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a*c*d - a*b*e - sqrt(-4*(a*c*d^2 - a*b*d*e + a^2*e^2)*a*c + (2*a*c*d - a*b*e)^2))/(a*c)))/((sqrt(b^2 - 4*a*c)*a^2*c^2*d^2 - sqrt(b^2 - 4*a*c)*a^2*b*c*d*e + sqrt(b^2 - 4*a*c)*a^3*c*e^2)*abs(a)*abs(c))","B",0
539,1,425,0,0.547138," ","integrate((e*x+d)^(3/2)/x^2/(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{x e + d} d}{a x} - \frac{{\left(2 \, b d^{2} - 3 \, a d e\right)} \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right)}{a^{2} \sqrt{-d}} - \frac{\sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} b\right)} d - {\left(a b + \sqrt{b^{2} - 4 \, a c} a\right)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a^{2} c d - a^{2} b e + \sqrt{-4 \, {\left(a^{2} c d^{2} - a^{2} b d e + a^{3} e^{2}\right)} a^{2} c + {\left(2 \, a^{2} c d - a^{2} b e\right)}^{2}}}{a^{2} c}}}\right)}{2 \, \sqrt{b^{2} - 4 \, a c} a^{2} {\left| c \right|}} + \frac{\sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left({\left(b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} b\right)} d - {\left(a b - \sqrt{b^{2} - 4 \, a c} a\right)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a^{2} c d - a^{2} b e - \sqrt{-4 \, {\left(a^{2} c d^{2} - a^{2} b d e + a^{3} e^{2}\right)} a^{2} c + {\left(2 \, a^{2} c d - a^{2} b e\right)}^{2}}}{a^{2} c}}}\right)}{2 \, \sqrt{b^{2} - 4 \, a c} a^{2} {\left| c \right|}}"," ",0,"-sqrt(x*e + d)*d/(a*x) - (2*b*d^2 - 3*a*d*e)*arctan(sqrt(x*e + d)/sqrt(-d))/(a^2*sqrt(-d)) - 1/2*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*((b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*b)*d - (a*b + sqrt(b^2 - 4*a*c)*a)*e)*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a^2*c*d - a^2*b*e + sqrt(-4*(a^2*c*d^2 - a^2*b*d*e + a^3*e^2)*a^2*c + (2*a^2*c*d - a^2*b*e)^2))/(a^2*c)))/(sqrt(b^2 - 4*a*c)*a^2*abs(c)) + 1/2*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*((b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*b)*d - (a*b - sqrt(b^2 - 4*a*c)*a)*e)*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a^2*c*d - a^2*b*e - sqrt(-4*(a^2*c*d^2 - a^2*b*d*e + a^3*e^2)*a^2*c + (2*a^2*c*d - a^2*b*e)^2))/(a^2*c)))/(sqrt(b^2 - 4*a*c)*a^2*abs(c))","A",0
540,1,1121,0,0.611996," ","integrate((e*x+d)^(3/2)/x^3/(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{{\left({\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} d^{2} e - 2 \, {\left(a b^{3} - 4 \, a^{2} b c\right)} d e^{2} + {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} a^{2} + 2 \, {\left(\sqrt{b^{2} - 4 \, a c} a b^{3} d^{2} e + \sqrt{b^{2} - 4 \, a c} a^{3} b e^{3} - {\left(a b^{2} c - a^{2} c^{2}\right)} \sqrt{b^{2} - 4 \, a c} d^{3} - {\left(2 \, a^{2} b^{2} - a^{3} c\right)} \sqrt{b^{2} - 4 \, a c} d e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| a \right|} + {\left(a^{4} b^{2} e^{3} - 2 \, {\left(a^{2} b^{3} c - 3 \, a^{3} b c^{2}\right)} d^{3} + {\left(a^{2} b^{4} + a^{3} b^{2} c - 8 \, a^{4} c^{2}\right)} d^{2} e - 2 \, {\left(a^{3} b^{3} - a^{4} b c\right)} d e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a^{3} c d - a^{3} b e + \sqrt{-4 \, {\left(a^{3} c d^{2} - a^{3} b d e + a^{4} e^{2}\right)} a^{3} c + {\left(2 \, a^{3} c d - a^{3} b e\right)}^{2}}}{a^{3} c}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} a^{4} c d^{2} - \sqrt{b^{2} - 4 \, a c} a^{4} b d e + \sqrt{b^{2} - 4 \, a c} a^{5} e^{2}\right)} {\left| a \right|} {\left| c \right|}} + \frac{{\left({\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} d^{2} e - 2 \, {\left(a b^{3} - 4 \, a^{2} b c\right)} d e^{2} + {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} e^{3}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} a^{2} - 2 \, {\left(\sqrt{b^{2} - 4 \, a c} a b^{3} d^{2} e + \sqrt{b^{2} - 4 \, a c} a^{3} b e^{3} - {\left(a b^{2} c - a^{2} c^{2}\right)} \sqrt{b^{2} - 4 \, a c} d^{3} - {\left(2 \, a^{2} b^{2} - a^{3} c\right)} \sqrt{b^{2} - 4 \, a c} d e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e} {\left| a \right|} + {\left(a^{4} b^{2} e^{3} - 2 \, {\left(a^{2} b^{3} c - 3 \, a^{3} b c^{2}\right)} d^{3} + {\left(a^{2} b^{4} + a^{3} b^{2} c - 8 \, a^{4} c^{2}\right)} d^{2} e - 2 \, {\left(a^{3} b^{3} - a^{4} b c\right)} d e^{2}\right)} \sqrt{-4 \, c^{2} d + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} e}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{x e + d}}{\sqrt{-\frac{2 \, a^{3} c d - a^{3} b e - \sqrt{-4 \, {\left(a^{3} c d^{2} - a^{3} b d e + a^{4} e^{2}\right)} a^{3} c + {\left(2 \, a^{3} c d - a^{3} b e\right)}^{2}}}{a^{3} c}}}\right)}{4 \, {\left(\sqrt{b^{2} - 4 \, a c} a^{4} c d^{2} - \sqrt{b^{2} - 4 \, a c} a^{4} b d e + \sqrt{b^{2} - 4 \, a c} a^{5} e^{2}\right)} {\left| a \right|} {\left| c \right|}} + \frac{{\left(8 \, b^{2} d^{2} - 8 \, a c d^{2} - 12 \, a b d e + 3 \, a^{2} e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right)}{4 \, a^{3} \sqrt{-d}} + \frac{{\left(4 \, {\left(x e + d\right)}^{\frac{3}{2}} b d e - 4 \, \sqrt{x e + d} b d^{2} e - 5 \, {\left(x e + d\right)}^{\frac{3}{2}} a e^{2} + 3 \, \sqrt{x e + d} a d e^{2}\right)} e^{\left(-2\right)}}{4 \, a^{2} x^{2}}"," ",0,"-1/4*(((b^4 - 5*a*b^2*c + 4*a^2*c^2)*d^2*e - 2*(a*b^3 - 4*a^2*b*c)*d*e^2 + (a^2*b^2 - 4*a^3*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*a^2 + 2*(sqrt(b^2 - 4*a*c)*a*b^3*d^2*e + sqrt(b^2 - 4*a*c)*a^3*b*e^3 - (a*b^2*c - a^2*c^2)*sqrt(b^2 - 4*a*c)*d^3 - (2*a^2*b^2 - a^3*c)*sqrt(b^2 - 4*a*c)*d*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e)*abs(a) + (a^4*b^2*e^3 - 2*(a^2*b^3*c - 3*a^3*b*c^2)*d^3 + (a^2*b^4 + a^3*b^2*c - 8*a^4*c^2)*d^2*e - 2*(a^3*b^3 - a^4*b*c)*d*e^2)*sqrt(-4*c^2*d + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a^3*c*d - a^3*b*e + sqrt(-4*(a^3*c*d^2 - a^3*b*d*e + a^4*e^2)*a^3*c + (2*a^3*c*d - a^3*b*e)^2))/(a^3*c)))/((sqrt(b^2 - 4*a*c)*a^4*c*d^2 - sqrt(b^2 - 4*a*c)*a^4*b*d*e + sqrt(b^2 - 4*a*c)*a^5*e^2)*abs(a)*abs(c)) + 1/4*(((b^4 - 5*a*b^2*c + 4*a^2*c^2)*d^2*e - 2*(a*b^3 - 4*a^2*b*c)*d*e^2 + (a^2*b^2 - 4*a^3*c)*e^3)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*a^2 - 2*(sqrt(b^2 - 4*a*c)*a*b^3*d^2*e + sqrt(b^2 - 4*a*c)*a^3*b*e^3 - (a*b^2*c - a^2*c^2)*sqrt(b^2 - 4*a*c)*d^3 - (2*a^2*b^2 - a^3*c)*sqrt(b^2 - 4*a*c)*d*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e)*abs(a) + (a^4*b^2*e^3 - 2*(a^2*b^3*c - 3*a^3*b*c^2)*d^3 + (a^2*b^4 + a^3*b^2*c - 8*a^4*c^2)*d^2*e - 2*(a^3*b^3 - a^4*b*c)*d*e^2)*sqrt(-4*c^2*d + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*e))*arctan(2*sqrt(1/2)*sqrt(x*e + d)/sqrt(-(2*a^3*c*d - a^3*b*e - sqrt(-4*(a^3*c*d^2 - a^3*b*d*e + a^4*e^2)*a^3*c + (2*a^3*c*d - a^3*b*e)^2))/(a^3*c)))/((sqrt(b^2 - 4*a*c)*a^4*c*d^2 - sqrt(b^2 - 4*a*c)*a^4*b*d*e + sqrt(b^2 - 4*a*c)*a^5*e^2)*abs(a)*abs(c)) + 1/4*(8*b^2*d^2 - 8*a*c*d^2 - 12*a*b*d*e + 3*a^2*e^2)*arctan(sqrt(x*e + d)/sqrt(-d))/(a^3*sqrt(-d)) + 1/4*(4*(x*e + d)^(3/2)*b*d*e - 4*sqrt(x*e + d)*b*d^2*e - 5*(x*e + d)^(3/2)*a*e^2 + 3*sqrt(x*e + d)*a*d*e^2)*e^(-2)/(a^2*x^2)","B",0
541,0,0,0,0.000000," ","integrate(x^m*(f*x+e)^n/(c*x^2+b*x+a),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
548,1,249,0,0.164056," ","integrate((e*x+d)^4*(g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""giac"")","-4 \, {\left(d^{5} g^{2} e^{3} + 2 \, d^{4} f g e^{4} + d^{3} f^{2} e^{5}\right)} e^{\left(-6\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) - \frac{1}{30} \, {\left(6 \, g^{2} x^{5} e^{12} + 30 \, d g^{2} x^{4} e^{11} + 70 \, d^{2} g^{2} x^{3} e^{10} + 120 \, d^{3} g^{2} x^{2} e^{9} + 240 \, d^{4} g^{2} x e^{8} + 15 \, f g x^{4} e^{12} + 80 \, d f g x^{3} e^{11} + 210 \, d^{2} f g x^{2} e^{10} + 480 \, d^{3} f g x e^{9} + 10 \, f^{2} x^{3} e^{12} + 60 \, d f^{2} x^{2} e^{11} + 210 \, d^{2} f^{2} x e^{10}\right)} e^{\left(-10\right)} - \frac{4 \, {\left(d^{6} g^{2} e^{4} + 2 \, d^{5} f g e^{5} + d^{4} f^{2} e^{6}\right)} e^{\left(-7\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}}"," ",0,"-4*(d^5*g^2*e^3 + 2*d^4*f*g*e^4 + d^3*f^2*e^5)*e^(-6)*log(abs(x^2*e^2 - d^2)) - 1/30*(6*g^2*x^5*e^12 + 30*d*g^2*x^4*e^11 + 70*d^2*g^2*x^3*e^10 + 120*d^3*g^2*x^2*e^9 + 240*d^4*g^2*x*e^8 + 15*f*g*x^4*e^12 + 80*d*f*g*x^3*e^11 + 210*d^2*f*g*x^2*e^10 + 480*d^3*f*g*x*e^9 + 10*f^2*x^3*e^12 + 60*d*f^2*x^2*e^11 + 210*d^2*f^2*x*e^10)*e^(-10) - 4*(d^6*g^2*e^4 + 2*d^5*f*g*e^5 + d^4*f^2*e^6)*e^(-7)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d)","A",0
549,1,211,0,0.209149," ","integrate((e*x+d)^3*(g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""giac"")","-2 \, {\left(d^{4} g^{2} e^{3} + 2 \, d^{3} f g e^{4} + d^{2} f^{2} e^{5}\right)} e^{\left(-6\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) - \frac{1}{12} \, {\left(3 \, g^{2} x^{4} e^{9} + 12 \, d g^{2} x^{3} e^{8} + 24 \, d^{2} g^{2} x^{2} e^{7} + 48 \, d^{3} g^{2} x e^{6} + 8 \, f g x^{3} e^{9} + 36 \, d f g x^{2} e^{8} + 96 \, d^{2} f g x e^{7} + 6 \, f^{2} x^{2} e^{9} + 36 \, d f^{2} x e^{8}\right)} e^{\left(-8\right)} - \frac{2 \, {\left(d^{5} g^{2} e^{2} + 2 \, d^{4} f g e^{3} + d^{3} f^{2} e^{4}\right)} e^{\left(-5\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}}"," ",0,"-2*(d^4*g^2*e^3 + 2*d^3*f*g*e^4 + d^2*f^2*e^5)*e^(-6)*log(abs(x^2*e^2 - d^2)) - 1/12*(3*g^2*x^4*e^9 + 12*d*g^2*x^3*e^8 + 24*d^2*g^2*x^2*e^7 + 48*d^3*g^2*x*e^6 + 8*f*g*x^3*e^9 + 36*d*f*g*x^2*e^8 + 96*d^2*f*g*x*e^7 + 6*f^2*x^2*e^9 + 36*d*f^2*x*e^8)*e^(-8) - 2*(d^5*g^2*e^2 + 2*d^4*f*g*e^3 + d^3*f^2*e^4)*e^(-5)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d)","B",0
550,1,172,0,0.155230," ","integrate((e*x+d)^2*(g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""giac"")","-{\left(d^{3} g^{2} e + 2 \, d^{2} f g e^{2} + d f^{2} e^{3}\right)} e^{\left(-4\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) - \frac{1}{3} \, {\left(g^{2} x^{3} e^{6} + 3 \, d g^{2} x^{2} e^{5} + 6 \, d^{2} g^{2} x e^{4} + 3 \, f g x^{2} e^{6} + 12 \, d f g x e^{5} + 3 \, f^{2} x e^{6}\right)} e^{\left(-6\right)} - \frac{{\left(d^{4} g^{2} e^{2} + 2 \, d^{3} f g e^{3} + d^{2} f^{2} e^{4}\right)} e^{\left(-5\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}}"," ",0,"-(d^3*g^2*e + 2*d^2*f*g*e^2 + d*f^2*e^3)*e^(-4)*log(abs(x^2*e^2 - d^2)) - 1/3*(g^2*x^3*e^6 + 3*d*g^2*x^2*e^5 + 6*d^2*g^2*x*e^4 + 3*f*g*x^2*e^6 + 12*d*f*g*x*e^5 + 3*f^2*x*e^6)*e^(-6) - (d^4*g^2*e^2 + 2*d^3*f*g*e^3 + d^2*f^2*e^4)*e^(-5)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d)","B",0
551,1,134,0,0.169923," ","integrate((e*x+d)*(g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(d^{2} g^{2} e + 2 \, d f g e^{2} + f^{2} e^{3}\right)} e^{\left(-4\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) - \frac{1}{2} \, {\left(g^{2} x^{2} e^{3} + 2 \, d g^{2} x e^{2} + 4 \, f g x e^{3}\right)} e^{\left(-4\right)} - \frac{{\left(d^{3} g^{2} + 2 \, d^{2} f g e + d f^{2} e^{2}\right)} e^{\left(-3\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{2 \, {\left| d \right|}}"," ",0,"-1/2*(d^2*g^2*e + 2*d*f*g*e^2 + f^2*e^3)*e^(-4)*log(abs(x^2*e^2 - d^2)) - 1/2*(g^2*x^2*e^3 + 2*d*g^2*x*e^2 + 4*f*g*x*e^3)*e^(-4) - 1/2*(d^3*g^2 + 2*d^2*f*g*e + d*f^2*e^2)*e^(-3)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d)","B",0
552,1,81,0,0.151645," ","integrate((g*x+f)^2/(-e^2*x^2+d^2),x, algorithm=""giac"")","-g^{2} x e^{\left(-2\right)} - f g e^{\left(-2\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) - \frac{{\left(d^{2} g^{2} + f^{2} e^{2}\right)} e^{\left(-3\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{2 \, {\left| d \right|}}"," ",0,"-g^2*x*e^(-2) - f*g*e^(-2)*log(abs(x^2*e^2 - d^2)) - 1/2*(d^2*g^2 + f^2*e^2)*e^(-3)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d)","A",0
553,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)/(-e^2*x^2+d^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -(d^2*g^2-2*d*exp(1)*g*f+exp(1)^2*f^2)/(exp(2)*d^2*exp(1)-d^2*exp(1)^3)*ln(abs(x*exp(1)+d))-(2*exp(2)*d*g*f-exp(2)*exp(1)*f^2-d^2*exp(1)*g^2)/(2*exp(2)^2*d^2-2*exp(2)*d^2*exp(1)^2)*ln(abs(x^2*exp(2)-d^2))-(exp(2)*f^2+d^2*g^2-2*d*exp(1)*g*f)*1/2/(exp(2)*d-d*exp(1)^2)/exp(1)/abs(d)*ln(abs(2*x*exp(2)-2*exp(1)*abs(d))/abs(2*x*exp(2)+2*exp(1)*abs(d)))","F(-2)",0
554,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)^2/(-e^2*x^2+d^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -(-g^2*d^2*exp(1)+g*d*exp(1)^2*f+g*d*f*exp(2)-exp(1)*f^2*exp(2))/(d^3*exp(1)^4-2*d^3*exp(1)^2*exp(2)+d^3*exp(2)^2)*ln(abs(-(-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^4+(-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^2*exp(2)-2*(exp(1)*x+d)^-1/exp(1)*d*exp(1)*exp(2)+exp(2)))-(g^2*d^2*exp(1)^4+g^2*d^2*exp(1)^2*exp(2)-4*g*d*exp(1)^3*f*exp(2)+exp(1)^4*f^2*exp(2)+exp(1)^2*f^2*exp(2)^2)/2/(d^2*exp(1)^4-2*d^2*exp(1)^2*exp(2)+d^2*exp(2)^2)/exp(1)/abs(d)/exp(1)^2*ln(abs(2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^4-2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^2*exp(2)+2*d*exp(1)*exp(2)-2*exp(1)*abs(d)*exp(1)^2)/abs(2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^4-2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^2*exp(2)+2*d*exp(1)*exp(2)+2*exp(1)*abs(d)*exp(1)^2))-((exp(1)*x+d)^-1/exp(1)*g^2*d^2*exp(1)^2-2*(exp(1)*x+d)^-1/exp(1)*g*d*exp(1)^3*f+(exp(1)*x+d)^-1/exp(1)*exp(1)^4*f^2)/(d^2*exp(1)^4-d^2*exp(1)^2*exp(2))","F(-2)",0
555,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)^3/(-e^2*x^2+d^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -(2*exp(2)^2*d*g*f-3*exp(2)^2*exp(1)*f^2-3*exp(2)*d^2*exp(1)*g^2+6*exp(2)*d*exp(1)^2*g*f-exp(2)*exp(1)^3*f^2-d^2*exp(1)^3*g^2)/(2*exp(2)^3*d^4-6*exp(2)^2*d^4*exp(1)^2+6*exp(2)*d^4*exp(1)^4-2*d^4*exp(1)^6)*ln(abs(-x^2*exp(2)+d^2))-(-exp(2)^3*f^2-exp(2)^2*d^2*g^2+6*exp(2)^2*d*exp(1)*g*f-3*exp(2)^2*exp(1)^2*f^2-3*exp(2)*d^2*exp(1)^2*g^2+2*exp(2)*d*exp(1)^3*g*f)*1/2/(exp(2)^3*d^3-3*exp(2)^2*d^3*exp(1)^2+3*exp(2)*d^3*exp(1)^4-d^3*exp(1)^6)/exp(1)/abs(d)*ln(abs(-2*x*exp(2)-2*exp(1)*abs(d))/abs(-2*x*exp(2)+2*exp(1)*abs(d)))-(-2*exp(2)^2*d*exp(1)*g*f+3*exp(2)^2*exp(1)^2*f^2+3*exp(2)*d^2*exp(1)^2*g^2-6*exp(2)*d*exp(1)^3*g*f+exp(2)*exp(1)^4*f^2+d^2*exp(1)^4*g^2)/(exp(2)^3*d^4*exp(1)-3*exp(2)^2*d^4*exp(1)^3+3*exp(2)*d^4*exp(1)^5-d^4*exp(1)^7)*ln(abs(x*exp(1)+d))-(-exp(2)^2*d^4*g^2+6*exp(2)^2*d^3*exp(1)*g*f-5*exp(2)^2*d^2*exp(1)^2*f^2-2*exp(2)*d^4*exp(1)^2*g^2-4*exp(2)*d^3*exp(1)^3*g*f+6*exp(2)*d^2*exp(1)^4*f^2+3*d^4*exp(1)^4*g^2-2*d^3*exp(1)^5*g*f-d^2*exp(1)^6*f^2+(4*exp(2)^2*d^2*exp(1)^2*g*f-4*exp(2)^2*d*exp(1)^3*f^2-4*exp(2)*d^3*exp(1)^3*g^2+4*exp(2)*d*exp(1)^5*f^2+4*d^3*exp(1)^5*g^2-4*d^2*exp(1)^6*g*f)*x)/2/d^4/exp(1)/(exp(2)-exp(1)^2)^3/(x*exp(1)+d)^2","F(-2)",0
556,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)^4/(-e^2*x^2+d^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -(exp(2)^3*d*g*f-2*exp(2)^3*exp(1)*f^2-2*exp(2)^2*d^2*exp(1)*g^2+6*exp(2)^2*d*exp(1)^2*g*f-2*exp(2)^2*exp(1)^3*f^2-2*exp(2)*d^2*exp(1)^3*g^2+exp(2)*d*exp(1)^4*g*f)/(exp(2)^4*d^5-4*exp(2)^3*d^5*exp(1)^2+6*exp(2)^2*d^5*exp(1)^4-4*exp(2)*d^5*exp(1)^6+d^5*exp(1)^8)*ln(abs(-x^2*exp(2)+d^2))-(-exp(2)^4*f^2-exp(2)^3*d^2*g^2+8*exp(2)^3*d*exp(1)*g*f-6*exp(2)^3*exp(1)^2*f^2-6*exp(2)^2*d^2*exp(1)^2*g^2+8*exp(2)^2*d*exp(1)^3*g*f-exp(2)^2*exp(1)^4*f^2-exp(2)*d^2*exp(1)^4*g^2)*1/2/(exp(2)^4*d^4-4*exp(2)^3*d^4*exp(1)^2+6*exp(2)^2*d^4*exp(1)^4-4*exp(2)*d^4*exp(1)^6+d^4*exp(1)^8)/exp(1)/abs(d)*ln(abs(-2*x*exp(2)-2*exp(1)*abs(d))/abs(-2*x*exp(2)+2*exp(1)*abs(d)))-(-2*exp(2)^3*d*exp(1)*g*f+4*exp(2)^3*exp(1)^2*f^2+4*exp(2)^2*d^2*exp(1)^2*g^2-12*exp(2)^2*d*exp(1)^3*g*f+4*exp(2)^2*exp(1)^4*f^2+4*exp(2)*d^2*exp(1)^4*g^2-2*exp(2)*d*exp(1)^5*g*f)/(exp(2)^4*d^5*exp(1)-4*exp(2)^3*d^5*exp(1)^3+6*exp(2)^2*d^5*exp(1)^5-4*exp(2)*d^5*exp(1)^7+d^5*exp(1)^9)*ln(abs(x*exp(1)+d))-((6*exp(2)^3*d^2*exp(1)^3*g*f-9*exp(2)^3*d*exp(1)^4*f^2-9*exp(2)^2*d^3*exp(1)^4*g^2+12*exp(2)^2*d^2*exp(1)^5*g*f+6*exp(2)^2*d*exp(1)^6*f^2+6*exp(2)*d^3*exp(1)^6*g^2-18*exp(2)*d^2*exp(1)^7*g*f+3*exp(2)*d*exp(1)^8*f^2+3*d^3*exp(1)^8*g^2)*x^2+(15*exp(2)^3*d^3*exp(1)^2*g*f-21*exp(2)^3*d^2*exp(1)^3*f^2-21*exp(2)^2*d^4*exp(1)^3*g^2+21*exp(2)^2*d^3*exp(1)^4*g*f+18*exp(2)^2*d^2*exp(1)^5*f^2+18*exp(2)*d^4*exp(1)^5*g^2-39*exp(2)*d^3*exp(1)^6*g*f+3*exp(2)*d^2*exp(1)^7*f^2+3*d^4*exp(1)^7*g^2+3*d^3*exp(1)^8*g*f)*x-exp(2)^3*d^5*g^2+11*exp(2)^3*d^4*exp(1)*g*f-13*exp(2)^3*d^3*exp(1)^2*f^2-9*exp(2)^2*d^5*exp(1)^2*g^2+3*exp(2)^2*d^4*exp(1)^3*g*f+15*exp(2)^2*d^3*exp(1)^4*f^2+9*exp(2)*d^5*exp(1)^4*g^2-15*exp(2)*d^4*exp(1)^5*g*f-3*exp(2)*d^3*exp(1)^6*f^2+d^5*exp(1)^6*g^2+d^4*exp(1)^7*g*f+d^3*exp(1)^8*f^2)/3/d^5/exp(1)/(exp(2)-exp(1)^2)^4/(x*exp(1)+d)^3","F(-2)",0
557,1,367,0,0.183013," ","integrate((e*x+d)^7*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","8 \, {\left(9 \, d^{6} g^{2} e^{7} + 14 \, d^{5} f g e^{8} + 5 \, d^{4} f^{2} e^{9}\right)} e^{\left(-10\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) + \frac{1}{60} \, {\left(10 \, g^{2} x^{6} e^{27} + 84 \, d g^{2} x^{5} e^{26} + 345 \, d^{2} g^{2} x^{4} e^{25} + 980 \, d^{3} g^{2} x^{3} e^{24} + 2400 \, d^{4} g^{2} x^{2} e^{23} + 6720 \, d^{5} g^{2} x e^{22} + 24 \, f g x^{5} e^{27} + 210 \, d f g x^{4} e^{26} + 920 \, d^{2} f g x^{3} e^{25} + 2940 \, d^{3} f g x^{2} e^{24} + 9600 \, d^{4} f g x e^{23} + 15 \, f^{2} x^{4} e^{27} + 140 \, d f^{2} x^{3} e^{26} + 690 \, d^{2} f^{2} x^{2} e^{25} + 2940 \, d^{3} f^{2} x e^{24}\right)} e^{\left(-24\right)} + \frac{8 \, {\left(9 \, d^{7} g^{2} e^{6} + 14 \, d^{6} f g e^{7} + 5 \, d^{5} f^{2} e^{8}\right)} e^{\left(-9\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}} - \frac{32 \, {\left(d^{8} g^{2} e^{7} + 2 \, d^{7} f g e^{8} + d^{6} f^{2} e^{9} + {\left(d^{7} g^{2} e^{8} + 2 \, d^{6} f g e^{9} + d^{5} f^{2} e^{10}\right)} x\right)} e^{\left(-10\right)}}{x^{2} e^{2} - d^{2}}"," ",0,"8*(9*d^6*g^2*e^7 + 14*d^5*f*g*e^8 + 5*d^4*f^2*e^9)*e^(-10)*log(abs(x^2*e^2 - d^2)) + 1/60*(10*g^2*x^6*e^27 + 84*d*g^2*x^5*e^26 + 345*d^2*g^2*x^4*e^25 + 980*d^3*g^2*x^3*e^24 + 2400*d^4*g^2*x^2*e^23 + 6720*d^5*g^2*x*e^22 + 24*f*g*x^5*e^27 + 210*d*f*g*x^4*e^26 + 920*d^2*f*g*x^3*e^25 + 2940*d^3*f*g*x^2*e^24 + 9600*d^4*f*g*x*e^23 + 15*f^2*x^4*e^27 + 140*d*f^2*x^3*e^26 + 690*d^2*f^2*x^2*e^25 + 2940*d^3*f^2*x*e^24)*e^(-24) + 8*(9*d^7*g^2*e^6 + 14*d^6*f*g*e^7 + 5*d^5*f^2*e^8)*e^(-9)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - 32*(d^8*g^2*e^7 + 2*d^7*f*g*e^8 + d^6*f^2*e^9 + (d^7*g^2*e^8 + 2*d^6*f*g*e^9 + d^5*f^2*e^10)*x)*e^(-10)/(x^2*e^2 - d^2)","A",0
558,1,327,0,0.182334," ","integrate((e*x+d)^6*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","16 \, {\left(2 \, d^{5} g^{2} e^{5} + 3 \, d^{4} f g e^{6} + d^{3} f^{2} e^{7}\right)} e^{\left(-8\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) + \frac{1}{30} \, {\left(6 \, g^{2} x^{5} e^{22} + 45 \, d g^{2} x^{4} e^{21} + 170 \, d^{2} g^{2} x^{3} e^{20} + 480 \, d^{3} g^{2} x^{2} e^{19} + 1440 \, d^{4} g^{2} x e^{18} + 15 \, f g x^{4} e^{22} + 120 \, d f g x^{3} e^{21} + 510 \, d^{2} f g x^{2} e^{20} + 1920 \, d^{3} f g x e^{19} + 10 \, f^{2} x^{3} e^{22} + 90 \, d f^{2} x^{2} e^{21} + 510 \, d^{2} f^{2} x e^{20}\right)} e^{\left(-20\right)} + \frac{16 \, {\left(2 \, d^{6} g^{2} e^{6} + 3 \, d^{5} f g e^{7} + d^{4} f^{2} e^{8}\right)} e^{\left(-9\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}} - \frac{16 \, {\left(d^{7} g^{2} e^{5} + 2 \, d^{6} f g e^{6} + d^{5} f^{2} e^{7} + {\left(d^{6} g^{2} e^{6} + 2 \, d^{5} f g e^{7} + d^{4} f^{2} e^{8}\right)} x\right)} e^{\left(-8\right)}}{x^{2} e^{2} - d^{2}}"," ",0,"16*(2*d^5*g^2*e^5 + 3*d^4*f*g*e^6 + d^3*f^2*e^7)*e^(-8)*log(abs(x^2*e^2 - d^2)) + 1/30*(6*g^2*x^5*e^22 + 45*d*g^2*x^4*e^21 + 170*d^2*g^2*x^3*e^20 + 480*d^3*g^2*x^2*e^19 + 1440*d^4*g^2*x*e^18 + 15*f*g*x^4*e^22 + 120*d*f*g*x^3*e^21 + 510*d^2*f*g*x^2*e^20 + 1920*d^3*f*g*x*e^19 + 10*f^2*x^3*e^22 + 90*d*f^2*x^2*e^21 + 510*d^2*f^2*x*e^20)*e^(-20) + 16*(2*d^6*g^2*e^6 + 3*d^5*f*g*e^7 + d^4*f^2*e^8)*e^(-9)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - 16*(d^7*g^2*e^5 + 2*d^6*f*g*e^6 + d^5*f^2*e^7 + (d^6*g^2*e^6 + 2*d^5*f*g*e^7 + d^4*f^2*e^8)*x)*e^(-8)/(x^2*e^2 - d^2)","A",0
559,1,291,0,0.187676," ","integrate((e*x+d)^5*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","2 \, {\left(7 \, d^{4} g^{2} e^{5} + 10 \, d^{3} f g e^{6} + 3 \, d^{2} f^{2} e^{7}\right)} e^{\left(-8\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) + \frac{1}{12} \, {\left(3 \, g^{2} x^{4} e^{17} + 20 \, d g^{2} x^{3} e^{16} + 72 \, d^{2} g^{2} x^{2} e^{15} + 240 \, d^{3} g^{2} x e^{14} + 8 \, f g x^{3} e^{17} + 60 \, d f g x^{2} e^{16} + 288 \, d^{2} f g x e^{15} + 6 \, f^{2} x^{2} e^{17} + 60 \, d f^{2} x e^{16}\right)} e^{\left(-16\right)} + \frac{2 \, {\left(7 \, d^{5} g^{2} e^{4} + 10 \, d^{4} f g e^{5} + 3 \, d^{3} f^{2} e^{6}\right)} e^{\left(-7\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}} - \frac{8 \, {\left(d^{6} g^{2} e^{5} + 2 \, d^{5} f g e^{6} + d^{4} f^{2} e^{7} + {\left(d^{5} g^{2} e^{6} + 2 \, d^{4} f g e^{7} + d^{3} f^{2} e^{8}\right)} x\right)} e^{\left(-8\right)}}{x^{2} e^{2} - d^{2}}"," ",0,"2*(7*d^4*g^2*e^5 + 10*d^3*f*g*e^6 + 3*d^2*f^2*e^7)*e^(-8)*log(abs(x^2*e^2 - d^2)) + 1/12*(3*g^2*x^4*e^17 + 20*d*g^2*x^3*e^16 + 72*d^2*g^2*x^2*e^15 + 240*d^3*g^2*x*e^14 + 8*f*g*x^3*e^17 + 60*d*f*g*x^2*e^16 + 288*d^2*f*g*x*e^15 + 6*f^2*x^2*e^17 + 60*d*f^2*x*e^16)*e^(-16) + 2*(7*d^5*g^2*e^4 + 10*d^4*f*g*e^5 + 3*d^3*f^2*e^6)*e^(-7)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - 8*(d^6*g^2*e^5 + 2*d^5*f*g*e^6 + d^4*f^2*e^7 + (d^5*g^2*e^6 + 2*d^4*f*g*e^7 + d^3*f^2*e^8)*x)*e^(-8)/(x^2*e^2 - d^2)","B",0
560,1,250,0,0.173811," ","integrate((e*x+d)^4*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","2 \, {\left(3 \, d^{3} g^{2} e^{3} + 4 \, d^{2} f g e^{4} + d f^{2} e^{5}\right)} e^{\left(-6\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) + \frac{1}{3} \, {\left(g^{2} x^{3} e^{12} + 6 \, d g^{2} x^{2} e^{11} + 24 \, d^{2} g^{2} x e^{10} + 3 \, f g x^{2} e^{12} + 24 \, d f g x e^{11} + 3 \, f^{2} x e^{12}\right)} e^{\left(-12\right)} + \frac{2 \, {\left(3 \, d^{4} g^{2} e^{4} + 4 \, d^{3} f g e^{5} + d^{2} f^{2} e^{6}\right)} e^{\left(-7\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}} - \frac{4 \, {\left(d^{5} g^{2} e^{3} + 2 \, d^{4} f g e^{4} + d^{3} f^{2} e^{5} + {\left(d^{4} g^{2} e^{4} + 2 \, d^{3} f g e^{5} + d^{2} f^{2} e^{6}\right)} x\right)} e^{\left(-6\right)}}{x^{2} e^{2} - d^{2}}"," ",0,"2*(3*d^3*g^2*e^3 + 4*d^2*f*g*e^4 + d*f^2*e^5)*e^(-6)*log(abs(x^2*e^2 - d^2)) + 1/3*(g^2*x^3*e^12 + 6*d*g^2*x^2*e^11 + 24*d^2*g^2*x*e^10 + 3*f*g*x^2*e^12 + 24*d*f*g*x*e^11 + 3*f^2*x*e^12)*e^(-12) + 2*(3*d^4*g^2*e^4 + 4*d^3*f*g*e^5 + d^2*f^2*e^6)*e^(-7)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - 4*(d^5*g^2*e^3 + 2*d^4*f*g*e^4 + d^3*f^2*e^5 + (d^4*g^2*e^4 + 2*d^3*f*g*e^5 + d^2*f^2*e^6)*x)*e^(-6)/(x^2*e^2 - d^2)","B",0
561,1,212,0,0.184107," ","integrate((e*x+d)^3*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(5 \, d^{2} g^{2} e^{3} + 6 \, d f g e^{4} + f^{2} e^{5}\right)} e^{\left(-6\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) + \frac{1}{2} \, {\left(g^{2} x^{2} e^{7} + 6 \, d g^{2} x e^{6} + 4 \, f g x e^{7}\right)} e^{\left(-8\right)} + \frac{{\left(5 \, d^{3} g^{2} e^{2} + 6 \, d^{2} f g e^{3} + d f^{2} e^{4}\right)} e^{\left(-5\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{2 \, {\left| d \right|}} - \frac{2 \, {\left(d^{4} g^{2} e^{3} + 2 \, d^{3} f g e^{4} + d^{2} f^{2} e^{5} + {\left(d^{3} g^{2} e^{4} + 2 \, d^{2} f g e^{5} + d f^{2} e^{6}\right)} x\right)} e^{\left(-6\right)}}{x^{2} e^{2} - d^{2}}"," ",0,"1/2*(5*d^2*g^2*e^3 + 6*d*f*g*e^4 + f^2*e^5)*e^(-6)*log(abs(x^2*e^2 - d^2)) + 1/2*(g^2*x^2*e^7 + 6*d*g^2*x*e^6 + 4*f*g*x*e^7)*e^(-8) + 1/2*(5*d^3*g^2*e^2 + 6*d^2*f*g*e^3 + d*f^2*e^4)*e^(-5)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - 2*(d^4*g^2*e^3 + 2*d^3*f*g*e^4 + d^2*f^2*e^5 + (d^3*g^2*e^4 + 2*d^2*f*g*e^5 + d*f^2*e^6)*x)*e^(-6)/(x^2*e^2 - d^2)","B",0
562,1,160,0,0.169691," ","integrate((e*x+d)^2*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","g^{2} x e^{\left(-2\right)} + {\left(d g^{2} e + f g e^{2}\right)} e^{\left(-4\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) + \frac{{\left(d^{2} g^{2} e^{2} + d f g e^{3}\right)} e^{\left(-5\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}} - \frac{{\left(d^{3} g^{2} e + 2 \, d^{2} f g e^{2} + d f^{2} e^{3} + {\left(d^{2} g^{2} e^{2} + 2 \, d f g e^{3} + f^{2} e^{4}\right)} x\right)} e^{\left(-4\right)}}{x^{2} e^{2} - d^{2}}"," ",0,"g^2*x*e^(-2) + (d*g^2*e + f*g*e^2)*e^(-4)*log(abs(x^2*e^2 - d^2)) + (d^2*g^2*e^2 + d*f*g*e^3)*e^(-5)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - (d^3*g^2*e + 2*d^2*f*g*e^2 + d*f^2*e^3 + (d^2*g^2*e^2 + 2*d*f*g*e^3 + f^2*e^4)*x)*e^(-4)/(x^2*e^2 - d^2)","B",0
563,1,159,0,0.185102," ","integrate((e*x+d)*(g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","\frac{1}{2} \, g^{2} e^{\left(-3\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) + \frac{{\left(d^{2} g^{2} + 2 \, d f g e - f^{2} e^{2}\right)} e^{\left(-3\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{4 \, d {\left| d \right|}} - \frac{{\left({\left(d^{2} g^{2} + 2 \, d f g e + f^{2} e^{2}\right)} x + {\left(d^{3} g^{2} e + 2 \, d^{2} f g e^{2} + d f^{2} e^{3}\right)} e^{\left(-2\right)}\right)} e^{\left(-2\right)}}{2 \, {\left(x^{2} e^{2} - d^{2}\right)} d}"," ",0,"1/2*g^2*e^(-3)*log(abs(x^2*e^2 - d^2)) + 1/4*(d^2*g^2 + 2*d*f*g*e - f^2*e^2)*e^(-3)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/(d*abs(d)) - 1/2*((d^2*g^2 + 2*d*f*g*e + f^2*e^2)*x + (d^3*g^2*e + 2*d^2*f*g*e^2 + d*f^2*e^3)*e^(-2))*e^(-2)/((x^2*e^2 - d^2)*d)","A",0
564,1,101,0,0.160517," ","integrate((g*x+f)^2/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","\frac{{\left(d^{2} g^{2} - f^{2} e^{2}\right)} e^{\left(-3\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{4 \, d^{2} {\left| d \right|}} - \frac{{\left(d^{2} g^{2} x + 2 \, d^{2} f g + f^{2} x e^{2}\right)} e^{\left(-2\right)}}{2 \, {\left(x^{2} e^{2} - d^{2}\right)} d^{2}}"," ",0,"1/4*(d^2*g^2 - f^2*e^2)*e^(-3)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/(d^2*abs(d)) - 1/2*(d^2*g^2*x + 2*d^2*f*g + f^2*x*e^2)*e^(-2)/((x^2*e^2 - d^2)*d^2)","A",0
565,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (d^2*exp(1)^2*g^2-2*d*exp(1)^3*g*f+exp(1)^4*f^2)/(exp(2)^2*d^4*exp(1)-2*exp(2)*d^4*exp(1)^3+d^4*exp(1)^5)*ln(abs(x*exp(1)+d))+(-d^2*exp(1)*g^2+2*d*exp(1)^2*g*f-exp(1)^3*f^2)/(2*exp(2)^2*d^4-4*exp(2)*d^4*exp(1)^2+2*d^4*exp(1)^4)*ln(abs(-x^2*exp(2)+d^2))+(exp(2)^2*f^2-exp(2)*d^2*g^2+2*exp(2)*d*exp(1)*g*f-3*exp(2)*exp(1)^2*f^2-d^2*exp(1)^2*g^2+2*d*exp(1)^3*g*f)*1/2/(2*exp(2)^2*d^3-4*exp(2)*d^3*exp(1)^2+2*d^3*exp(1)^4)/exp(1)/abs(d)*ln(abs(-2*x*exp(2)-2*exp(1)*abs(d))/abs(-2*x*exp(2)+2*exp(1)*abs(d)))-(-2*exp(2)^2*d^3*g*f+exp(2)^2*d^2*exp(1)*f^2+exp(2)*d^4*exp(1)*g^2+2*exp(2)*d^3*exp(1)^2*g*f-exp(2)*d^2*exp(1)^3*f^2-d^4*exp(1)^3*g^2+(-exp(2)^3*d*f^2-exp(2)^2*d^3*g^2+2*exp(2)^2*d^2*exp(1)*g*f+exp(2)^2*d*exp(1)^2*f^2+exp(2)*d^3*exp(1)^2*g^2-2*exp(2)*d^2*exp(1)^3*g*f)*x)/2/d^4/exp(2)/(exp(2)-exp(1)^2)^2/(-x^2*exp(2)+d^2)","F(-2)",0
566,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)^2/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-(exp(1)*x+d)^-1/exp(1)*g^2*d^2*exp(1)^6+2*(exp(1)*x+d)^-1/exp(1)*g*d*exp(1)^7*f-(exp(1)*x+d)^-1/exp(1)*exp(1)^8*f^2)/(d^4*exp(1)^8-2*d^4*exp(1)^6*exp(2)+d^4*exp(1)^4*exp(2)^2)-(-(-g^2*d^3*exp(1)^6-6*g^2*d^3*exp(1)^4*exp(2)-g^2*d^3*exp(1)^2*exp(2)^2+8*g*d^2*exp(1)^5*exp(2)*f+8*g*d^2*exp(1)^3*exp(2)^2*f-d*exp(1)^6*exp(2)*f^2-6*d*exp(1)^4*exp(2)^2*f^2-d*exp(1)^2*exp(2)^3*f^2)/(exp(1)^2-exp(2))*(exp(1)*x+d)^-1/exp(1)+(-3*g^2*d^2*exp(1)^3*exp(2)-g^2*d^2*exp(1)*exp(2)^2+2*g*d*exp(1)^4*exp(2)*f+6*g*d*exp(1)^2*exp(2)^2*f-3*exp(1)^3*exp(2)^2*f^2-exp(1)*exp(2)^3*f^2)/(exp(1)^2-exp(2)))/2/d^5/(exp(2)-exp(1)^2)^2/(-(-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^4+(-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^2*exp(2)-2*(exp(1)*x+d)^-1/exp(1)*d*exp(1)*exp(2)+exp(2))+(g^2*d^2*exp(1)^3+g^2*d^2*exp(1)*exp(2)-g*d*exp(1)^4*f-3*g*d*exp(1)^2*f*exp(2)+2*exp(1)^3*f^2*exp(2))/(d^5*exp(1)^6-3*d^5*exp(1)^4*exp(2)+3*d^5*exp(1)^2*exp(2)^2-d^5*exp(2)^3)*ln(abs(-(-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^4+(-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^2*exp(2)-2*(exp(1)*x+d)^-1/exp(1)*d*exp(1)*exp(2)+exp(2)))+(-g^2*d^2*exp(1)^6-6*g^2*d^2*exp(1)^4*exp(2)-g^2*d^2*exp(1)^2*exp(2)^2+12*g*d*exp(1)^5*f*exp(2)+4*g*d*exp(1)^3*f*exp(2)^2-3*exp(1)^6*f^2*exp(2)-6*exp(1)^4*f^2*exp(2)^2+exp(1)^2*f^2*exp(2)^3)/2/(2*d^4*exp(1)^6-6*d^4*exp(1)^4*exp(2)+6*d^4*exp(1)^2*exp(2)^2-2*d^4*exp(2)^3)/exp(1)/abs(d)/exp(1)^2*ln(abs(2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^4-2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^2*exp(2)+2*d*exp(1)*exp(2)-2*exp(1)*abs(d)*exp(1)^2)/abs(2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^4-2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^2*exp(2)+2*d*exp(1)*exp(2)+2*exp(1)*abs(d)*exp(1)^2))","F(-2)",0
567,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)^3/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-3*exp(2)^2*d^2*exp(1)*g^2+12*exp(2)^2*d*exp(1)^2*g*f-10*exp(2)^2*exp(1)^3*f^2-8*exp(2)*d^2*exp(1)^3*g^2+12*exp(2)*d*exp(1)^4*g*f-2*exp(2)*exp(1)^5*f^2-d^2*exp(1)^5*g^2)/(2*exp(2)^4*d^6-8*exp(2)^3*d^6*exp(1)^2+12*exp(2)^2*d^6*exp(1)^4-8*exp(2)*d^6*exp(1)^6+2*d^6*exp(1)^8)*ln(abs(-x^2*exp(2)+d^2))+(exp(2)^4*f^2-exp(2)^3*d^2*g^2+6*exp(2)^3*d*exp(1)*g*f-10*exp(2)^3*exp(1)^2*f^2-14*exp(2)^2*d^2*exp(1)^2*g^2+36*exp(2)^2*d*exp(1)^3*g*f-15*exp(2)^2*exp(1)^4*f^2-9*exp(2)*d^2*exp(1)^4*g^2+6*exp(2)*d*exp(1)^5*g*f)*1/2/(2*exp(2)^4*d^5-8*exp(2)^3*d^5*exp(1)^2+12*exp(2)^2*d^5*exp(1)^4-8*exp(2)*d^5*exp(1)^6+2*d^5*exp(1)^8)/exp(1)/abs(d)*ln(abs(-2*x*exp(2)-2*exp(1)*abs(d))/abs(-2*x*exp(2)+2*exp(1)*abs(d)))+(3*exp(2)^2*d^2*exp(1)^2*g^2-12*exp(2)^2*d*exp(1)^3*g*f+10*exp(2)^2*exp(1)^4*f^2+8*exp(2)*d^2*exp(1)^4*g^2-12*exp(2)*d*exp(1)^5*g*f+2*exp(2)*exp(1)^6*f^2+d^2*exp(1)^6*g^2)/(exp(2)^4*d^6*exp(1)-4*exp(2)^3*d^6*exp(1)^3+6*exp(2)^2*d^6*exp(1)^5-4*exp(2)*d^6*exp(1)^7+d^6*exp(1)^9)*ln(abs(x*exp(1)+d))-((-exp(2)^4*d*exp(1)^2*f^2-5*exp(2)^3*d^3*exp(1)^2*g^2+18*exp(2)^3*d^2*exp(1)^3*g*f-10*exp(2)^3*d*exp(1)^4*f^2-2*exp(2)^2*d^3*exp(1)^4*g^2-12*exp(2)^2*d^2*exp(1)^5*g*f+11*exp(2)^2*d*exp(1)^6*f^2+7*exp(2)*d^3*exp(1)^6*g^2-6*exp(2)*d^2*exp(1)^7*g*f)*x^3+(-2*exp(2)^4*d^2*exp(1)*f^2-7*exp(2)^3*d^4*exp(1)*g^2+24*exp(2)^3*d^3*exp(1)^2*g*f-10*exp(2)^3*d^2*exp(1)^3*f^2+exp(2)^2*d^4*exp(1)^3*g^2-24*exp(2)^2*d^3*exp(1)^4*g*f+14*exp(2)^2*d^2*exp(1)^5*f^2+7*exp(2)*d^4*exp(1)^5*g^2-2*exp(2)*d^2*exp(1)^7*f^2-d^4*exp(1)^7*g^2)*x^2+(-exp(2)^4*d^3*f^2-exp(2)^3*d^5*g^2+2*exp(2)^3*d^4*exp(1)*g*f+4*exp(2)^3*d^3*exp(1)^2*f^2+8*exp(2)^2*d^5*exp(1)^2*g^2-24*exp(2)^2*d^4*exp(1)^3*g*f+7*exp(2)^2*d^3*exp(1)^4*f^2-exp(2)*d^5*exp(1)^4*g^2+18*exp(2)*d^4*exp(1)^5*g*f-10*exp(2)*d^3*exp(1)^6*f^2-6*d^5*exp(1)^6*g^2+4*d^4*exp(1)^7*g*f)*x-2*exp(2)^3*d^5*g*f+3*exp(2)^3*d^4*exp(1)*f^2+8*exp(2)^2*d^6*exp(1)*g^2-18*exp(2)^2*d^5*exp(1)^2*g*f+7*exp(2)^2*d^4*exp(1)^3*f^2-4*exp(2)*d^6*exp(1)^3*g^2+18*exp(2)*d^5*exp(1)^4*g*f-11*exp(2)*d^4*exp(1)^5*f^2-4*d^6*exp(1)^5*g^2+2*d^5*exp(1)^6*g*f+d^4*exp(1)^7*f^2)/2/d^6/(exp(2)-exp(1)^2)^4/(-x*exp(1)-d)^2/(-x^2*exp(2)+d^2)","F(-2)",0
568,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)^4/(-e^2*x^2+d^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (-2*exp(2)^3*d^2*exp(1)*g^2+10*exp(2)^3*d*exp(1)^2*g*f-10*exp(2)^3*exp(1)^3*f^2-10*exp(2)^2*d^2*exp(1)^3*g^2+20*exp(2)^2*d*exp(1)^4*g*f-6*exp(2)^2*exp(1)^5*f^2-4*exp(2)*d^2*exp(1)^5*g^2+2*exp(2)*d*exp(1)^6*g*f)/(exp(2)^5*d^7-5*exp(2)^4*d^7*exp(1)^2+10*exp(2)^3*d^7*exp(1)^4-10*exp(2)^2*d^7*exp(1)^6+5*exp(2)*d^7*exp(1)^8-d^7*exp(1)^10)*ln(abs(-x^2*exp(2)+d^2))+(exp(2)^5*f^2-exp(2)^4*d^2*g^2+8*exp(2)^4*d*exp(1)*g*f-15*exp(2)^4*exp(1)^2*f^2-25*exp(2)^3*d^2*exp(1)^2*g^2+80*exp(2)^3*d*exp(1)^3*g*f-45*exp(2)^3*exp(1)^4*f^2-35*exp(2)^2*d^2*exp(1)^4*g^2+40*exp(2)^2*d*exp(1)^5*g*f-5*exp(2)^2*exp(1)^6*f^2-3*exp(2)*d^2*exp(1)^6*g^2)*1/2/(2*exp(2)^5*d^6-10*exp(2)^4*d^6*exp(1)^2+20*exp(2)^3*d^6*exp(1)^4-20*exp(2)^2*d^6*exp(1)^6+10*exp(2)*d^6*exp(1)^8-2*d^6*exp(1)^10)/exp(1)/abs(d)*ln(abs(-2*x*exp(2)-2*exp(1)*abs(d))/abs(-2*x*exp(2)+2*exp(1)*abs(d)))+(4*exp(2)^3*d^2*exp(1)^2*g^2-20*exp(2)^3*d*exp(1)^3*g*f+20*exp(2)^3*exp(1)^4*f^2+20*exp(2)^2*d^2*exp(1)^4*g^2-40*exp(2)^2*d*exp(1)^5*g*f+12*exp(2)^2*exp(1)^6*f^2+8*exp(2)*d^2*exp(1)^6*g^2-4*exp(2)*d*exp(1)^7*g*f)/(exp(2)^5*d^7*exp(1)-5*exp(2)^4*d^7*exp(1)^3+10*exp(2)^3*d^7*exp(1)^5-10*exp(2)^2*d^7*exp(1)^7+5*exp(2)*d^7*exp(1)^9-d^7*exp(1)^11)*ln(abs(x*exp(1)+d))-((-3*exp(2)^5*d*exp(1)^3*f^2-21*exp(2)^4*d^3*exp(1)^3*g^2+96*exp(2)^4*d^2*exp(1)^4*g*f-75*exp(2)^4*d*exp(1)^5*f^2-45*exp(2)^3*d^3*exp(1)^5*g^2+63*exp(2)^3*d*exp(1)^7*f^2+57*exp(2)^2*d^3*exp(1)^7*g^2-96*exp(2)^2*d^2*exp(1)^8*g*f+15*exp(2)^2*d*exp(1)^9*f^2+9*exp(2)*d^3*exp(1)^9*g^2)*x^4+(-9*exp(2)^5*d^2*exp(1)^2*f^2-51*exp(2)^4*d^4*exp(1)^2*g^2+228*exp(2)^4*d^3*exp(1)^3*g*f-165*exp(2)^4*d^2*exp(1)^4*f^2-87*exp(2)^3*d^4*exp(1)^4*g^2-60*exp(2)^3*d^3*exp(1)^5*g*f+165*exp(2)^3*d^2*exp(1)^6*f^2+135*exp(2)^2*d^4*exp(1)^6*g^2-180*exp(2)^2*d^3*exp(1)^7*g*f+9*exp(2)^2*d^2*exp(1)^8*f^2+3*exp(2)*d^4*exp(1)^8*g^2+12*exp(2)*d^3*exp(1)^9*g*f)*x^3+(-9*exp(2)^5*d^3*exp(1)*f^2-35*exp(2)^4*d^5*exp(1)*g^2+148*exp(2)^4*d^4*exp(1)^2*g*f-83*exp(2)^4*d^3*exp(1)^3*f^2-9*exp(2)^3*d^5*exp(1)^3*g^2-204*exp(2)^3*d^4*exp(1)^4*g*f+183*exp(2)^3*d^3*exp(1)^5*f^2+117*exp(2)^2*d^5*exp(1)^5*g^2-36*exp(2)^2*d^4*exp(1)^6*g*f-81*exp(2)^2*d^3*exp(1)^7*f^2-67*exp(2)*d^5*exp(1)^7*g^2+92*exp(2)*d^4*exp(1)^8*g*f-10*exp(2)*d^3*exp(1)^9*f^2-6*d^5*exp(1)^9*g^2)*x^2+(-3*exp(2)^5*d^4*f^2-3*exp(2)^4*d^6*g^2+6*exp(2)^4*d^5*exp(1)*g*f+21*exp(2)^4*d^4*exp(1)^2*f^2+63*exp(2)^3*d^6*exp(1)^2*g^2-252*exp(2)^3*d^5*exp(1)^3*g*f+147*exp(2)^3*d^4*exp(1)^4*f^2+69*exp(2)^2*d^6*exp(1)^4*g^2+96*exp(2)^2*d^5*exp(1)^5*g*f-153*exp(2)^2*d^4*exp(1)^6*f^2-123*exp(2)*d^6*exp(1)^6*g^2+156*exp(2)*d^5*exp(1)^7*g*f-12*exp(2)*d^4*exp(1)^8*f^2-6*d^6*exp(1)^8*g^2-6*d^5*exp(1)^9*g*f)*x-6*exp(2)^4*d^6*g*f+12*exp(2)^4*d^5*exp(1)*f^2+38*exp(2)^3*d^7*exp(1)*g^2-124*exp(2)^3*d^6*exp(1)^2*g*f+74*exp(2)^3*d^5*exp(1)^3*f^2+18*exp(2)^2*d^7*exp(1)^3*g^2+72*exp(2)^2*d^6*exp(1)^4*g*f-90*exp(2)^2*d^5*exp(1)^5*f^2-54*exp(2)*d^7*exp(1)^5*g^2+60*exp(2)*d^6*exp(1)^6*g*f+6*exp(2)*d^5*exp(1)^7*f^2-2*d^7*exp(1)^7*g^2-2*d^6*exp(1)^8*g*f-2*d^5*exp(1)^9*f^2)/6/d^7/(exp(2)-exp(1)^2)^5/(-x*exp(1)-d)^3/(x^2*exp(2)-d^2)","F(-2)",0
569,1,364,0,0.193877," ","integrate((e*x+d)^7*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","-4 \, {\left(13 \, d^{4} g^{2} e^{7} + 14 \, d^{3} f g e^{8} + 3 \, d^{2} f^{2} e^{9}\right)} e^{\left(-10\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) - \frac{1}{12} \, {\left(3 \, g^{2} x^{4} e^{25} + 28 \, d g^{2} x^{3} e^{24} + 144 \, d^{2} g^{2} x^{2} e^{23} + 672 \, d^{3} g^{2} x e^{22} + 8 \, f g x^{3} e^{25} + 84 \, d f g x^{2} e^{24} + 576 \, d^{2} f g x e^{23} + 6 \, f^{2} x^{2} e^{25} + 84 \, d f^{2} x e^{24}\right)} e^{\left(-24\right)} - \frac{4 \, {\left(13 \, d^{5} g^{2} e^{6} + 14 \, d^{4} f g e^{7} + 3 \, d^{3} f^{2} e^{8}\right)} e^{\left(-9\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}} - \frac{8 \, {\left(7 \, d^{8} g^{2} e^{7} + 10 \, d^{7} f g e^{8} + 3 \, d^{6} f^{2} e^{9} - 4 \, {\left(2 \, d^{5} g^{2} e^{10} + 3 \, d^{4} f g e^{11} + d^{3} f^{2} e^{12}\right)} x^{3} - {\left(9 \, d^{6} g^{2} e^{9} + 14 \, d^{5} f g e^{10} + 5 \, d^{4} f^{2} e^{11}\right)} x^{2} + 2 \, {\left(3 \, d^{7} g^{2} e^{8} + 4 \, d^{6} f g e^{9} + d^{5} f^{2} e^{10}\right)} x\right)} e^{\left(-10\right)}}{{\left(x^{2} e^{2} - d^{2}\right)}^{2}}"," ",0,"-4*(13*d^4*g^2*e^7 + 14*d^3*f*g*e^8 + 3*d^2*f^2*e^9)*e^(-10)*log(abs(x^2*e^2 - d^2)) - 1/12*(3*g^2*x^4*e^25 + 28*d*g^2*x^3*e^24 + 144*d^2*g^2*x^2*e^23 + 672*d^3*g^2*x*e^22 + 8*f*g*x^3*e^25 + 84*d*f*g*x^2*e^24 + 576*d^2*f*g*x*e^23 + 6*f^2*x^2*e^25 + 84*d*f^2*x*e^24)*e^(-24) - 4*(13*d^5*g^2*e^6 + 14*d^4*f*g*e^7 + 3*d^3*f^2*e^8)*e^(-9)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - 8*(7*d^8*g^2*e^7 + 10*d^7*f*g*e^8 + 3*d^6*f^2*e^9 - 4*(2*d^5*g^2*e^10 + 3*d^4*f*g*e^11 + d^3*f^2*e^12)*x^3 - (9*d^6*g^2*e^9 + 14*d^5*f*g*e^10 + 5*d^4*f^2*e^11)*x^2 + 2*(3*d^7*g^2*e^8 + 4*d^6*f*g*e^9 + d^5*f^2*e^10)*x)*e^(-10)/(x^2*e^2 - d^2)^2","B",0
570,1,324,0,0.195502," ","integrate((e*x+d)^6*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","-{\left(19 \, d^{3} g^{2} e^{5} + 18 \, d^{2} f g e^{6} + 3 \, d f^{2} e^{7}\right)} e^{\left(-8\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) - \frac{1}{3} \, {\left(g^{2} x^{3} e^{18} + 9 \, d g^{2} x^{2} e^{17} + 54 \, d^{2} g^{2} x e^{16} + 3 \, f g x^{2} e^{18} + 36 \, d f g x e^{17} + 3 \, f^{2} x e^{18}\right)} e^{\left(-18\right)} - \frac{{\left(19 \, d^{4} g^{2} e^{6} + 18 \, d^{3} f g e^{7} + 3 \, d^{2} f^{2} e^{8}\right)} e^{\left(-9\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}} - \frac{4 \, {\left(6 \, d^{7} g^{2} e^{5} + 8 \, d^{6} f g e^{6} + 2 \, d^{5} f^{2} e^{7} - {\left(7 \, d^{4} g^{2} e^{8} + 10 \, d^{3} f g e^{9} + 3 \, d^{2} f^{2} e^{10}\right)} x^{3} - 4 \, {\left(2 \, d^{5} g^{2} e^{7} + 3 \, d^{4} f g e^{8} + d^{3} f^{2} e^{9}\right)} x^{2} + {\left(5 \, d^{6} g^{2} e^{6} + 6 \, d^{5} f g e^{7} + d^{4} f^{2} e^{8}\right)} x\right)} e^{\left(-8\right)}}{{\left(x^{2} e^{2} - d^{2}\right)}^{2}}"," ",0,"-(19*d^3*g^2*e^5 + 18*d^2*f*g*e^6 + 3*d*f^2*e^7)*e^(-8)*log(abs(x^2*e^2 - d^2)) - 1/3*(g^2*x^3*e^18 + 9*d*g^2*x^2*e^17 + 54*d^2*g^2*x*e^16 + 3*f*g*x^2*e^18 + 36*d*f*g*x*e^17 + 3*f^2*x*e^18)*e^(-18) - (19*d^4*g^2*e^6 + 18*d^3*f*g*e^7 + 3*d^2*f^2*e^8)*e^(-9)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - 4*(6*d^7*g^2*e^5 + 8*d^6*f*g*e^6 + 2*d^5*f^2*e^7 - (7*d^4*g^2*e^8 + 10*d^3*f*g*e^9 + 3*d^2*f^2*e^10)*x^3 - 4*(2*d^5*g^2*e^7 + 3*d^4*f*g*e^8 + d^3*f^2*e^9)*x^2 + (5*d^6*g^2*e^6 + 6*d^5*f*g*e^7 + d^4*f^2*e^8)*x)*e^(-8)/(x^2*e^2 - d^2)^2","B",0
571,1,273,0,0.376812," ","integrate((e*x+d)^5*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","-\frac{1}{2} \, {\left(13 \, d^{2} g^{2} e^{5} + 10 \, d f g e^{6} + f^{2} e^{7}\right)} e^{\left(-8\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) - \frac{1}{2} \, {\left(g^{2} x^{2} e^{11} + 10 \, d g^{2} x e^{10} + 4 \, f g x e^{11}\right)} e^{\left(-12\right)} - \frac{{\left(13 \, d^{3} g^{2} e^{4} + 10 \, d^{2} f g e^{5} + d f^{2} e^{6}\right)} e^{\left(-7\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{2 \, {\left| d \right|}} - \frac{2 \, {\left(5 \, d^{6} g^{2} e^{5} + 6 \, d^{5} f g e^{6} + d^{4} f^{2} e^{7} - 2 \, {\left(3 \, d^{3} g^{2} e^{8} + 4 \, d^{2} f g e^{9} + d f^{2} e^{10}\right)} x^{3} - {\left(7 \, d^{4} g^{2} e^{7} + 10 \, d^{3} f g e^{8} + 3 \, d^{2} f^{2} e^{9}\right)} x^{2} + 4 \, {\left(d^{5} g^{2} e^{6} + d^{4} f g e^{7}\right)} x\right)} e^{\left(-8\right)}}{{\left(x^{2} e^{2} - d^{2}\right)}^{2}}"," ",0,"-1/2*(13*d^2*g^2*e^5 + 10*d*f*g*e^6 + f^2*e^7)*e^(-8)*log(abs(x^2*e^2 - d^2)) - 1/2*(g^2*x^2*e^11 + 10*d*g^2*x*e^10 + 4*f*g*x*e^11)*e^(-12) - 1/2*(13*d^3*g^2*e^4 + 10*d^2*f*g*e^5 + d*f^2*e^6)*e^(-7)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - 2*(5*d^6*g^2*e^5 + 6*d^5*f*g*e^6 + d^4*f^2*e^7 - 2*(3*d^3*g^2*e^8 + 4*d^2*f*g*e^9 + d*f^2*e^10)*x^3 - (7*d^4*g^2*e^7 + 10*d^3*f*g*e^8 + 3*d^2*f^2*e^9)*x^2 + 4*(d^5*g^2*e^6 + d^4*f*g*e^7)*x)*e^(-8)/(x^2*e^2 - d^2)^2","B",0
572,1,227,0,0.205206," ","integrate((e*x+d)^4*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","-g^{2} x e^{\left(-2\right)} - {\left(2 \, d g^{2} e^{3} + f g e^{4}\right)} e^{\left(-6\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) - \frac{{\left(2 \, d^{2} g^{2} e^{4} + d f g e^{5}\right)} e^{\left(-7\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{{\left| d \right|}} - \frac{{\left(4 \, d^{5} g^{2} e^{3} + 4 \, d^{4} f g e^{4} - {\left(5 \, d^{2} g^{2} e^{6} + 6 \, d f g e^{7} + f^{2} e^{8}\right)} x^{3} - 2 \, {\left(3 \, d^{3} g^{2} e^{5} + 4 \, d^{2} f g e^{6} + d f^{2} e^{7}\right)} x^{2} + {\left(3 \, d^{4} g^{2} e^{4} + 2 \, d^{3} f g e^{5} - d^{2} f^{2} e^{6}\right)} x\right)} e^{\left(-6\right)}}{{\left(x^{2} e^{2} - d^{2}\right)}^{2}}"," ",0,"-g^2*x*e^(-2) - (2*d*g^2*e^3 + f*g*e^4)*e^(-6)*log(abs(x^2*e^2 - d^2)) - (2*d^2*g^2*e^4 + d*f*g*e^5)*e^(-7)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - (4*d^5*g^2*e^3 + 4*d^4*f*g*e^4 - (5*d^2*g^2*e^6 + 6*d*f*g*e^7 + f^2*e^8)*x^3 - 2*(3*d^3*g^2*e^5 + 4*d^2*f*g*e^6 + d*f^2*e^7)*x^2 + (3*d^4*g^2*e^4 + 2*d^3*f*g*e^5 - d^2*f^2*e^6)*x)*e^(-6)/(x^2*e^2 - d^2)^2","B",0
573,1,195,0,0.203636," ","integrate((e*x+d)^3*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","-\frac{d g^{2} e^{\left(-3\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{2 \, {\left| d \right|}} - \frac{1}{2} \, g^{2} e^{\left(-3\right)} \log\left({\left| x^{2} e^{2} - d^{2} \right|}\right) + \frac{{\left(4 \, {\left(d^{2} g^{2} e^{4} + d f g e^{5}\right)} x^{3} + {\left(5 \, d^{3} g^{2} e^{3} + 6 \, d^{2} f g e^{4} + d f^{2} e^{5}\right)} x^{2} - 2 \, {\left(d^{4} g^{2} e^{2} - d^{2} f^{2} e^{4}\right)} x - {\left(3 \, d^{5} g^{2} e^{3} + 2 \, d^{4} f g e^{4} - d^{3} f^{2} e^{5}\right)} e^{\left(-2\right)}\right)} e^{\left(-4\right)}}{2 \, {\left(x^{2} e^{2} - d^{2}\right)}^{2} d}"," ",0,"-1/2*d*g^2*e^(-3)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d) - 1/2*g^2*e^(-3)*log(abs(x^2*e^2 - d^2)) + 1/2*(4*(d^2*g^2*e^4 + d*f*g*e^5)*x^3 + (5*d^3*g^2*e^3 + 6*d^2*f*g*e^4 + d*f^2*e^5)*x^2 - 2*(d^4*g^2*e^2 - d^2*f^2*e^4)*x - (3*d^5*g^2*e^3 + 2*d^4*f*g*e^4 - d^3*f^2*e^5)*e^(-2))*e^(-4)/((x^2*e^2 - d^2)^2*d)","B",0
574,1,197,0,0.174476," ","integrate((e*x+d)^2*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","-\frac{{\left(d^{2} g^{2} e^{2} - 2 \, d f g e^{3} + f^{2} e^{4}\right)} e^{\left(-5\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{8 \, d^{2} {\left| d \right|}} + \frac{{\left(3 \, d^{2} g^{2} x^{3} e^{4} + 4 \, d^{3} g^{2} x^{2} e^{3} - d^{4} g^{2} x e^{2} - 2 \, d^{5} g^{2} e + 2 \, d f g x^{3} e^{5} + 4 \, d^{2} f g x^{2} e^{4} + 2 \, d^{3} f g x e^{3} - f^{2} x^{3} e^{6} + 3 \, d^{2} f^{2} x e^{4} + 2 \, d^{3} f^{2} e^{3}\right)} e^{\left(-4\right)}}{4 \, {\left(x^{2} e^{2} - d^{2}\right)}^{2} d^{2}}"," ",0,"-1/8*(d^2*g^2*e^2 - 2*d*f*g*e^3 + f^2*e^4)*e^(-5)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/(d^2*abs(d)) + 1/4*(3*d^2*g^2*x^3*e^4 + 4*d^3*g^2*x^2*e^3 - d^4*g^2*x*e^2 - 2*d^5*g^2*e + 2*d*f*g*x^3*e^5 + 4*d^2*f*g*x^2*e^4 + 2*d^3*f*g*x*e^3 - f^2*x^3*e^6 + 3*d^2*f^2*x*e^4 + 2*d^3*f^2*e^3)*e^(-4)/((x^2*e^2 - d^2)^2*d^2)","B",0
575,1,191,0,0.168019," ","integrate((e*x+d)*(g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","\frac{{\left(d^{2} g^{2} + 2 \, d f g e - 3 \, f^{2} e^{2}\right)} e^{\left(-3\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{16 \, d^{3} {\left| d \right|}} + \frac{{\left(d^{2} g^{2} x^{3} e^{4} + 4 \, d^{3} g^{2} x^{2} e^{3} + d^{4} g^{2} x e^{2} - 2 \, d^{5} g^{2} e + 2 \, d f g x^{3} e^{5} + 2 \, d^{3} f g x e^{3} + 4 \, d^{4} f g e^{2} - 3 \, f^{2} x^{3} e^{6} + 5 \, d^{2} f^{2} x e^{4} + 2 \, d^{3} f^{2} e^{3}\right)} e^{\left(-4\right)}}{8 \, {\left(x^{2} e^{2} - d^{2}\right)}^{2} d^{3}}"," ",0,"1/16*(d^2*g^2 + 2*d*f*g*e - 3*f^2*e^2)*e^(-3)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/(d^3*abs(d)) + 1/8*(d^2*g^2*x^3*e^4 + 4*d^3*g^2*x^2*e^3 + d^4*g^2*x*e^2 - 2*d^5*g^2*e + 2*d*f*g*x^3*e^5 + 2*d^3*f*g*x*e^3 + 4*d^4*f*g*e^2 - 3*f^2*x^3*e^6 + 5*d^2*f^2*x*e^4 + 2*d^3*f^2*e^3)*e^(-4)/((x^2*e^2 - d^2)^2*d^3)","A",0
576,1,127,0,0.165615," ","integrate((g*x+f)^2/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","\frac{{\left(d^{2} g^{2} - 3 \, f^{2} e^{2}\right)} e^{\left(-3\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{16 \, d^{4} {\left| d \right|}} + \frac{{\left(d^{2} g^{2} x^{3} e^{2} + d^{4} g^{2} x + 4 \, d^{4} f g - 3 \, f^{2} x^{3} e^{4} + 5 \, d^{2} f^{2} x e^{2}\right)} e^{\left(-2\right)}}{8 \, {\left(x^{2} e^{2} - d^{2}\right)}^{2} d^{4}}"," ",0,"1/16*(d^2*g^2 - 3*f^2*e^2)*e^(-3)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/(d^4*abs(d)) + 1/8*(d^2*g^2*x^3*e^2 + d^4*g^2*x + 4*d^4*f*g - 3*f^2*x^3*e^4 + 5*d^2*f^2*x*e^2)*e^(-2)/((x^2*e^2 - d^2)^2*d^4)","A",0
577,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -(d^2*exp(1)^4*g^2-2*d*exp(1)^5*g*f+exp(1)^6*f^2)/(exp(2)^3*d^6*exp(1)-3*exp(2)^2*d^6*exp(1)^3+3*exp(2)*d^6*exp(1)^5-d^6*exp(1)^7)*ln(abs(x*exp(1)+d))-(-d^2*exp(1)^3*g^2+2*d*exp(1)^4*g*f-exp(1)^5*f^2)/(2*exp(2)^3*d^6-6*exp(2)^2*d^6*exp(1)^2+6*exp(2)*d^6*exp(1)^4-2*d^6*exp(1)^6)*ln(abs(-x^2*exp(2)+d^2))-(-3*exp(2)^3*f^2+exp(2)^2*d^2*g^2-2*exp(2)^2*d*exp(1)*g*f+10*exp(2)^2*exp(1)^2*f^2-6*exp(2)*d^2*exp(1)^2*g^2+12*exp(2)*d*exp(1)^3*g*f-15*exp(2)*exp(1)^4*f^2-3*d^2*exp(1)^4*g^2+6*d*exp(1)^5*g*f)*1/2/(8*exp(2)^3*d^5-24*exp(2)^2*d^5*exp(1)^2+24*exp(2)*d^5*exp(1)^4-8*d^5*exp(1)^6)/exp(1)/abs(d)*ln(abs(-2*x*exp(2)-2*exp(1)*abs(d))/abs(-2*x*exp(2)+2*exp(1)*abs(d)))-((3*exp(2)^5*d*f^2-exp(2)^4*d^3*g^2+2*exp(2)^4*d^2*exp(1)*g*f-10*exp(2)^4*d*exp(1)^2*f^2-2*exp(2)^3*d^3*exp(1)^2*g^2+4*exp(2)^3*d^2*exp(1)^3*g*f+7*exp(2)^3*d*exp(1)^4*f^2+3*exp(2)^2*d^3*exp(1)^4*g^2-6*exp(2)^2*d^2*exp(1)^5*g*f)*x^3+(4*exp(2)^3*d^4*exp(1)*g^2-8*exp(2)^3*d^3*exp(1)^2*g*f+4*exp(2)^3*d^2*exp(1)^3*f^2-4*exp(2)^2*d^4*exp(1)^3*g^2+8*exp(2)^2*d^3*exp(1)^4*g*f-4*exp(2)^2*d^2*exp(1)^5*f^2)*x^2+(-5*exp(2)^4*d^3*f^2-exp(2)^3*d^5*g^2+2*exp(2)^3*d^4*exp(1)*g*f+14*exp(2)^3*d^3*exp(1)^2*f^2+6*exp(2)^2*d^5*exp(1)^2*g^2-12*exp(2)^2*d^4*exp(1)^3*g*f-9*exp(2)^2*d^3*exp(1)^4*f^2-5*exp(2)*d^5*exp(1)^4*g^2+10*exp(2)*d^4*exp(1)^5*g*f)*x-4*exp(2)^3*d^5*g*f+2*exp(2)^3*d^4*exp(1)*f^2-2*exp(2)^2*d^6*exp(1)*g^2+16*exp(2)^2*d^5*exp(1)^2*g*f-8*exp(2)^2*d^4*exp(1)^3*f^2-12*exp(2)*d^5*exp(1)^4*g*f+6*exp(2)*d^4*exp(1)^5*f^2+2*d^6*exp(1)^5*g^2)/8/d^6/exp(2)/(exp(2)-exp(1)^2)^3/(-x^2*exp(2)+d^2)^2","F(-2)",0
578,-2,0,0,0.000000," ","integrate((g*x+f)^2/(e*x+d)^2/(-e^2*x^2+d^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: -((exp(1)*x+d)^-1/exp(1)*g^2*d^2*exp(1)^10-2*(exp(1)*x+d)^-1/exp(1)*g*d*exp(1)^11*f+(exp(1)*x+d)^-1/exp(1)*exp(1)^12*f^2)/(d^6*exp(1)^12-3*d^6*exp(1)^10*exp(2)+3*d^6*exp(1)^8*exp(2)^2-d^6*exp(1)^6*exp(2)^3)-((5*g^2*d^5*exp(1)^12+50*g^2*d^5*exp(1)^10*exp(2)-20*g^2*d^5*exp(1)^8*exp(2)^2-34*g^2*d^5*exp(1)^6*exp(2)^3-g^2*d^5*exp(1)^4*exp(2)^4-68*g*d^4*exp(1)^11*exp(2)*f-52*g*d^4*exp(1)^9*exp(2)^2*f+116*g*d^4*exp(1)^7*exp(2)^3*f+4*g*d^4*exp(1)^5*exp(2)^4*f+9*d^3*exp(1)^12*exp(2)*f^2+66*d^3*exp(1)^10*exp(2)^2*f^2-60*d^3*exp(1)^8*exp(2)^3*f^2-18*d^3*exp(1)^6*exp(2)^4*f^2+3*d^3*exp(1)^4*exp(2)^5*f^2)*(-(exp(1)*x+d)^-1/exp(1))^3+(17*g^2*d^4*exp(1)^9*exp(2)-85*g^2*d^4*exp(1)^7*exp(2)^2-89*g^2*d^4*exp(1)^5*exp(2)^3-3*g^2*d^4*exp(1)^3*exp(2)^4-16*g*d^3*exp(1)^10*exp(2)*f+44*g*d^3*exp(1)^8*exp(2)^2*f+280*g*d^3*exp(1)^6*exp(2)^3*f+12*g*d^3*exp(1)^4*exp(2)^4*f+21*d^2*exp(1)^9*exp(2)^2*f^2-145*d^2*exp(1)^7*exp(2)^3*f^2-45*d^2*exp(1)^5*exp(2)^4*f^2+9*d^2*exp(1)^3*exp(2)^5*f^2)*(-(exp(1)*x+d)^-1/exp(1))^2-(-3*g^2*d^3*exp(1)^8*exp(2)-77*g^2*d^3*exp(1)^6*exp(2)^2-77*g^2*d^3*exp(1)^4*exp(2)^3-3*g^2*d^3*exp(1)^2*exp(2)^4+76*g*d^2*exp(1)^7*exp(2)^2*f+232*g*d^2*exp(1)^5*exp(2)^3*f+12*g*d^2*exp(1)^3*exp(2)^4*f-7*d*exp(1)^8*exp(2)^2*f^2-121*d*exp(1)^6*exp(2)^3*f^2-41*d*exp(1)^4*exp(2)^4*f^2+9*d*exp(1)^2*exp(2)^5*f^2)*(exp(1)*x+d)^-1/exp(1)-17*g^2*d^2*exp(1)^5*exp(2)^2-22*g^2*d^2*exp(1)^3*exp(2)^3-g^2*d^2*exp(1)*exp(2)^4+12*g*d*exp(1)^6*exp(2)^2*f+64*g*d*exp(1)^4*exp(2)^3*f+4*g*d*exp(1)^2*exp(2)^4*f-29*exp(1)^5*exp(2)^3*f^2-14*exp(1)^3*exp(2)^4*f^2+3*exp(1)*exp(2)^5*f^2)/8/d^7/(exp(2)-exp(1)^2)^4/((-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^4-(-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^2*exp(2)+2*(exp(1)*x+d)^-1/exp(1)*d*exp(1)*exp(2)-exp(2))^2-(g^2*d^2*exp(1)^5+2*g^2*d^2*exp(1)^3*exp(2)-g*d*exp(1)^6*f-5*g*d*exp(1)^4*f*exp(2)+3*exp(1)^5*f^2*exp(2))/(-d^7*exp(1)^8+4*d^7*exp(1)^6*exp(2)-6*d^7*exp(1)^4*exp(2)^2+4*d^7*exp(1)^2*exp(2)^3-d^7*exp(2)^4)*ln(abs((-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^4-(-(exp(1)*x+d)^-1/exp(1))^2*d^2*exp(1)^2*exp(2)+2*(exp(1)*x+d)^-1/exp(1)*d*exp(1)*exp(2)-exp(2)))-(3*g^2*d^2*exp(1)^8+33*g^2*d^2*exp(1)^6*exp(2)+13*g^2*d^2*exp(1)^4*exp(2)^2-g^2*d^2*exp(1)^2*exp(2)^3-60*g*d*exp(1)^7*f*exp(2)-40*g*d*exp(1)^5*f*exp(2)^2+4*g*d*exp(1)^3*f*exp(2)^3+15*exp(1)^8*f^2*exp(2)+45*exp(1)^6*f^2*exp(2)^2-15*exp(1)^4*f^2*exp(2)^3+3*exp(1)^2*f^2*exp(2)^4)/2/(-8*d^6*exp(1)^8+32*d^6*exp(1)^6*exp(2)-48*d^6*exp(1)^4*exp(2)^2+32*d^6*exp(1)^2*exp(2)^3-8*d^6*exp(2)^4)/exp(1)/abs(d)/exp(1)^2*ln(abs(-2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^4+2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^2*exp(2)-2*d*exp(1)*exp(2)-2*exp(1)*abs(d)*exp(1)^2)/abs(-2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^4+2*(exp(1)*x+d)^-1/exp(1)*d^2*exp(1)^2*exp(2)-2*d*exp(1)*exp(2)+2*exp(1)*abs(d)*exp(1)^2))","F(-2)",0
579,1,537,0,0.661147," ","integrate((e*x+d)^3*(g*x+f)^5/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(13 \, d^{2} g^{5} + 30 \, d f g^{4} e + 20 \, f^{2} g^{3} e^{2}\right)} \arcsin\left(\frac{x e}{d}\right) e^{\left(-6\right)} \mathrm{sgn}\left(d\right) + \frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left({\left({\left(15 \, {\left(g^{5} x e + \frac{2 \, {\left(3 \, d^{5} g^{5} e^{12} + 5 \, d^{4} f g^{4} e^{13}\right)} e^{\left(-12\right)}}{d^{4}}\right)} x - \frac{{\left(299 \, d^{6} g^{5} e^{11} + 720 \, d^{5} f g^{4} e^{12} + 640 \, d^{4} f^{2} g^{3} e^{13} + 140 \, d^{3} f^{3} g^{2} e^{14} - 30 \, d^{2} f^{4} g e^{15} + 4 \, d f^{5} e^{16}\right)} e^{\left(-12\right)}}{d^{4}}\right)} x - \frac{30 \, {\left(19 \, d^{7} g^{5} e^{10} + 45 \, d^{6} f g^{4} e^{11} + 30 \, d^{5} f^{2} g^{3} e^{12} + 10 \, d^{4} f^{3} g^{2} e^{13}\right)} e^{\left(-12\right)}}{d^{4}}\right)} x + \frac{5 \, {\left(91 \, d^{8} g^{5} e^{9} + 210 \, d^{7} f g^{4} e^{10} + 140 \, d^{6} f^{2} g^{3} e^{11} - 20 \, d^{5} f^{3} g^{2} e^{12} - 30 \, d^{4} f^{4} g e^{13} + 2 \, d^{3} f^{5} e^{14}\right)} e^{\left(-12\right)}}{d^{4}}\right)} x + \frac{10 \, {\left(76 \, d^{9} g^{5} e^{8} + 180 \, d^{8} f g^{4} e^{9} + 110 \, d^{7} f^{2} g^{3} e^{10} + 10 \, d^{6} f^{3} g^{2} e^{11} - 15 \, d^{5} f^{4} g e^{12} - d^{4} f^{5} e^{13}\right)} e^{\left(-12\right)}}{d^{4}}\right)} x - \frac{15 \, {\left(13 \, d^{10} g^{5} e^{7} + 30 \, d^{9} f g^{4} e^{8} + 20 \, d^{8} f^{2} g^{3} e^{9} + 2 \, d^{5} f^{5} e^{12}\right)} e^{\left(-12\right)}}{d^{4}}\right)} x - \frac{2 \, {\left(152 \, d^{11} g^{5} e^{6} + 360 \, d^{10} f g^{4} e^{7} + 220 \, d^{9} f^{2} g^{3} e^{8} + 20 \, d^{8} f^{3} g^{2} e^{9} - 15 \, d^{7} f^{4} g e^{10} + 7 \, d^{6} f^{5} e^{11}\right)} e^{\left(-12\right)}}{d^{4}}\right)}}{30 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/2*(13*d^2*g^5 + 30*d*f*g^4*e + 20*f^2*g^3*e^2)*arcsin(x*e/d)*e^(-6)*sgn(d) + 1/30*sqrt(-x^2*e^2 + d^2)*((((((15*(g^5*x*e + 2*(3*d^5*g^5*e^12 + 5*d^4*f*g^4*e^13)*e^(-12)/d^4)*x - (299*d^6*g^5*e^11 + 720*d^5*f*g^4*e^12 + 640*d^4*f^2*g^3*e^13 + 140*d^3*f^3*g^2*e^14 - 30*d^2*f^4*g*e^15 + 4*d*f^5*e^16)*e^(-12)/d^4)*x - 30*(19*d^7*g^5*e^10 + 45*d^6*f*g^4*e^11 + 30*d^5*f^2*g^3*e^12 + 10*d^4*f^3*g^2*e^13)*e^(-12)/d^4)*x + 5*(91*d^8*g^5*e^9 + 210*d^7*f*g^4*e^10 + 140*d^6*f^2*g^3*e^11 - 20*d^5*f^3*g^2*e^12 - 30*d^4*f^4*g*e^13 + 2*d^3*f^5*e^14)*e^(-12)/d^4)*x + 10*(76*d^9*g^5*e^8 + 180*d^8*f*g^4*e^9 + 110*d^7*f^2*g^3*e^10 + 10*d^6*f^3*g^2*e^11 - 15*d^5*f^4*g*e^12 - d^4*f^5*e^13)*e^(-12)/d^4)*x - 15*(13*d^10*g^5*e^7 + 30*d^9*f*g^4*e^8 + 20*d^8*f^2*g^3*e^9 + 2*d^5*f^5*e^12)*e^(-12)/d^4)*x - 2*(152*d^11*g^5*e^6 + 360*d^10*f*g^4*e^7 + 220*d^9*f^2*g^3*e^8 + 20*d^8*f^3*g^2*e^9 - 15*d^7*f^4*g*e^10 + 7*d^6*f^5*e^11)*e^(-12)/d^4)/(x^2*e^2 - d^2)^3","B",0
580,1,411,0,0.404973," ","integrate((e*x+d)^3*(g*x+f)^4/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-{\left(3 \, d g^{4} + 4 \, f g^{3} e\right)} \arcsin\left(\frac{x e}{d}\right) e^{\left(-5\right)} \mathrm{sgn}\left(d\right) + \frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left({\left({\left(15 \, g^{4} x e - \frac{2 \, {\left(36 \, d^{5} g^{4} e^{10} + 64 \, d^{4} f g^{3} e^{11} + 21 \, d^{3} f^{2} g^{2} e^{12} - 6 \, d^{2} f^{3} g e^{13} + d f^{4} e^{14}\right)} e^{\left(-10\right)}}{d^{4}}\right)} x - \frac{45 \, {\left(3 \, d^{6} g^{4} e^{9} + 4 \, d^{5} f g^{3} e^{10} + 2 \, d^{4} f^{2} g^{2} e^{11}\right)} e^{\left(-10\right)}}{d^{4}}\right)} x + \frac{5 \, {\left(21 \, d^{7} g^{4} e^{8} + 28 \, d^{6} f g^{3} e^{9} - 6 \, d^{5} f^{2} g^{2} e^{10} - 12 \, d^{4} f^{3} g e^{11} + d^{3} f^{4} e^{12}\right)} e^{\left(-10\right)}}{d^{4}}\right)} x + \frac{5 \, {\left(36 \, d^{8} g^{4} e^{7} + 44 \, d^{7} f g^{3} e^{8} + 6 \, d^{6} f^{2} g^{2} e^{9} - 12 \, d^{5} f^{3} g e^{10} - d^{4} f^{4} e^{11}\right)} e^{\left(-10\right)}}{d^{4}}\right)} x - \frac{15 \, {\left(3 \, d^{9} g^{4} e^{6} + 4 \, d^{8} f g^{3} e^{7} + d^{5} f^{4} e^{10}\right)} e^{\left(-10\right)}}{d^{4}}\right)} x - \frac{{\left(72 \, d^{10} g^{4} e^{5} + 88 \, d^{9} f g^{3} e^{6} + 12 \, d^{8} f^{2} g^{2} e^{7} - 12 \, d^{7} f^{3} g e^{8} + 7 \, d^{6} f^{4} e^{9}\right)} e^{\left(-10\right)}}{d^{4}}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-(3*d*g^4 + 4*f*g^3*e)*arcsin(x*e/d)*e^(-5)*sgn(d) + 1/15*sqrt(-x^2*e^2 + d^2)*((((((15*g^4*x*e - 2*(36*d^5*g^4*e^10 + 64*d^4*f*g^3*e^11 + 21*d^3*f^2*g^2*e^12 - 6*d^2*f^3*g*e^13 + d*f^4*e^14)*e^(-10)/d^4)*x - 45*(3*d^6*g^4*e^9 + 4*d^5*f*g^3*e^10 + 2*d^4*f^2*g^2*e^11)*e^(-10)/d^4)*x + 5*(21*d^7*g^4*e^8 + 28*d^6*f*g^3*e^9 - 6*d^5*f^2*g^2*e^10 - 12*d^4*f^3*g*e^11 + d^3*f^4*e^12)*e^(-10)/d^4)*x + 5*(36*d^8*g^4*e^7 + 44*d^7*f*g^3*e^8 + 6*d^6*f^2*g^2*e^9 - 12*d^5*f^3*g*e^10 - d^4*f^4*e^11)*e^(-10)/d^4)*x - 15*(3*d^9*g^4*e^6 + 4*d^8*f*g^3*e^7 + d^5*f^4*e^10)*e^(-10)/d^4)*x - (72*d^10*g^4*e^5 + 88*d^9*f*g^3*e^6 + 12*d^8*f^2*g^2*e^7 - 12*d^7*f^3*g*e^8 + 7*d^6*f^4*e^9)*e^(-10)/d^4)/(x^2*e^2 - d^2)^3","B",0
581,1,309,0,0.379961," ","integrate((e*x+d)^3*(g*x+f)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-g^{3} \arcsin\left(\frac{x e}{d}\right) e^{\left(-4\right)} \mathrm{sgn}\left(d\right) - \frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left(x {\left(\frac{{\left(32 \, d^{4} g^{3} e^{8} + 21 \, d^{3} f g^{2} e^{9} - 9 \, d^{2} f^{2} g e^{10} + 2 \, d f^{3} e^{11}\right)} x e^{\left(-7\right)}}{d^{4}} + \frac{45 \, {\left(d^{5} g^{3} e^{7} + d^{4} f g^{2} e^{8}\right)} e^{\left(-7\right)}}{d^{4}}\right)} - \frac{5 \, {\left(7 \, d^{6} g^{3} e^{6} - 3 \, d^{5} f g^{2} e^{7} - 9 \, d^{4} f^{2} g e^{8} + d^{3} f^{3} e^{9}\right)} e^{\left(-7\right)}}{d^{4}}\right)} x - \frac{5 \, {\left(11 \, d^{7} g^{3} e^{5} + 3 \, d^{6} f g^{2} e^{6} - 9 \, d^{5} f^{2} g e^{7} - d^{4} f^{3} e^{8}\right)} e^{\left(-7\right)}}{d^{4}}\right)} x + \frac{15 \, {\left(d^{8} g^{3} e^{4} + d^{5} f^{3} e^{7}\right)} e^{\left(-7\right)}}{d^{4}}\right)} x + \frac{{\left(22 \, d^{9} g^{3} e^{3} + 6 \, d^{8} f g^{2} e^{4} - 9 \, d^{7} f^{2} g e^{5} + 7 \, d^{6} f^{3} e^{6}\right)} e^{\left(-7\right)}}{d^{4}}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-g^3*arcsin(x*e/d)*e^(-4)*sgn(d) - 1/15*sqrt(-x^2*e^2 + d^2)*((((x*((32*d^4*g^3*e^8 + 21*d^3*f*g^2*e^9 - 9*d^2*f^2*g*e^10 + 2*d*f^3*e^11)*x*e^(-7)/d^4 + 45*(d^5*g^3*e^7 + d^4*f*g^2*e^8)*e^(-7)/d^4) - 5*(7*d^6*g^3*e^6 - 3*d^5*f*g^2*e^7 - 9*d^4*f^2*g*e^8 + d^3*f^3*e^9)*e^(-7)/d^4)*x - 5*(11*d^7*g^3*e^5 + 3*d^6*f*g^2*e^6 - 9*d^5*f^2*g*e^7 - d^4*f^3*e^8)*e^(-7)/d^4)*x + 15*(d^8*g^3*e^4 + d^5*f^3*e^7)*e^(-7)/d^4)*x + (22*d^9*g^3*e^3 + 6*d^8*f*g^2*e^4 - 9*d^7*f^2*g*e^5 + 7*d^6*f^3*e^6)*e^(-7)/d^4)/(x^2*e^2 - d^2)^3","A",0
582,1,198,0,0.339514," ","integrate((e*x+d)^3*(g*x+f)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left(15 \, d f^{2} + {\left({\left({\left(15 \, g^{2} e + \frac{{\left(7 \, d^{3} g^{2} e^{6} - 6 \, d^{2} f g e^{7} + 2 \, d f^{2} e^{8}\right)} x e^{\left(-4\right)}}{d^{4}}\right)} x + \frac{5 \, {\left(d^{5} g^{2} e^{4} + 6 \, d^{4} f g e^{5} - d^{3} f^{2} e^{6}\right)} e^{\left(-4\right)}}{d^{4}}\right)} x - \frac{5 \, {\left(d^{6} g^{2} e^{3} - 6 \, d^{5} f g e^{4} - d^{4} f^{2} e^{5}\right)} e^{\left(-4\right)}}{d^{4}}\right)} x\right)} x + \frac{{\left(2 \, d^{8} g^{2} e - 6 \, d^{7} f g e^{2} + 7 \, d^{6} f^{2} e^{3}\right)} e^{\left(-4\right)}}{d^{4}}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*((15*d*f^2 + (((15*g^2*e + (7*d^3*g^2*e^6 - 6*d^2*f*g*e^7 + 2*d*f^2*e^8)*x*e^(-4)/d^4)*x + 5*(d^5*g^2*e^4 + 6*d^4*f*g*e^5 - d^3*f^2*e^6)*e^(-4)/d^4)*x - 5*(d^6*g^2*e^3 - 6*d^5*f*g*e^4 - d^4*f^2*e^5)*e^(-4)/d^4)*x)*x + (2*d^8*g^2*e - 6*d^7*f*g*e^2 + 7*d^6*f^2*e^3)*e^(-4)/d^4)/(x^2*e^2 - d^2)^3","A",0
583,1,139,0,0.332336," ","integrate((e*x+d)^3*(g*x+f)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left(15 \, d f - {\left(x {\left(\frac{{\left(3 \, d^{2} g e^{7} - 2 \, d f e^{8}\right)} x^{2} e^{\left(-4\right)}}{d^{4}} - \frac{5 \, {\left(3 \, d^{4} g e^{5} - d^{3} f e^{6}\right)} e^{\left(-4\right)}}{d^{4}}\right)} - \frac{5 \, {\left(3 \, d^{5} g e^{4} + d^{4} f e^{5}\right)} e^{\left(-4\right)}}{d^{4}}\right)} x\right)} x - \frac{{\left(3 \, d^{7} g e^{2} - 7 \, d^{6} f e^{3}\right)} e^{\left(-4\right)}}{d^{4}}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*((15*d*f - (x*((3*d^2*g*e^7 - 2*d*f*e^8)*x^2*e^(-4)/d^4 - 5*(3*d^4*g*e^5 - d^3*f*e^6)*e^(-4)/d^4) - 5*(3*d^5*g*e^4 + d^4*f*e^5)*e^(-4)/d^4)*x)*x - (3*d^7*g*e^2 - 7*d^6*f*e^3)*e^(-4)/d^4)/(x^2*e^2 - d^2)^3","A",0
584,1,70,0,0.303938," ","integrate((e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left(7 \, d^{2} e^{\left(-1\right)} + {\left({\left(x {\left(\frac{2 \, x^{2} e^{4}}{d^{3}} - \frac{5 \, e^{2}}{d}\right)} + 5 \, e\right)} x + 15 \, d\right)} x\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-1/15*sqrt(-x^2*e^2 + d^2)*(7*d^2*e^(-1) + ((x*(2*x^2*e^4/d^3 - 5*e^2/d) + 5*e)*x + 15*d)*x)/(x^2*e^2 - d^2)^3","A",0
585,1,2966,0,0.456163," ","integrate((e*x+d)^3/(g*x+f)/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(d^{3} g^{6} e^{2} - 3 \, d^{2} f g^{5} e^{3} + 3 \, d f^{2} g^{4} e^{4} - f^{3} g^{3} e^{5}\right)} \arctan\left(\frac{d g e + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} f}{x}}{\sqrt{-d^{2} g^{2} e^{2} + f^{2} e^{4}}}\right)}{{\left(d^{6} g^{6} e - 3 \, d^{4} f^{2} g^{4} e^{3} + 3 \, d^{2} f^{4} g^{2} e^{5} - f^{6} e^{7}\right)} \sqrt{-d^{2} g^{2} e^{2} + f^{2} e^{4}}} - \frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left({\left(\frac{{\left(22 \, d^{18} g^{17} e^{9} + 339 \, d^{17} f g^{16} e^{10} + 2447 \, d^{16} f^{2} g^{15} e^{11} + 10985 \, d^{15} f^{3} g^{14} e^{12} + 34335 \, d^{14} f^{4} g^{13} e^{13} + 79261 \, d^{13} f^{5} g^{12} e^{14} + 139867 \, d^{12} f^{6} g^{11} e^{15} + 192621 \, d^{11} f^{7} g^{10} e^{16} + 209495 \, d^{10} f^{8} g^{9} e^{17} + 180895 \, d^{9} f^{9} g^{8} e^{18} + 123981 \, d^{8} f^{10} g^{7} e^{19} + 67067 \, d^{7} f^{11} g^{6} e^{20} + 28301 \, d^{6} f^{12} g^{5} e^{21} + 9135 \, d^{5} f^{13} g^{4} e^{22} + 2185 \, d^{4} f^{14} g^{3} e^{23} + 367 \, d^{3} f^{15} g^{2} e^{24} + 39 \, d^{2} f^{16} g e^{25} + 2 \, d f^{17} e^{26}\right)} x}{d^{22} g^{18} e^{4} + 18 \, d^{21} f g^{17} e^{5} + 153 \, d^{20} f^{2} g^{16} e^{6} + 816 \, d^{19} f^{3} g^{15} e^{7} + 3060 \, d^{18} f^{4} g^{14} e^{8} + 8568 \, d^{17} f^{5} g^{13} e^{9} + 18564 \, d^{16} f^{6} g^{12} e^{10} + 31824 \, d^{15} f^{7} g^{11} e^{11} + 43758 \, d^{14} f^{8} g^{10} e^{12} + 48620 \, d^{13} f^{9} g^{9} e^{13} + 43758 \, d^{12} f^{10} g^{8} e^{14} + 31824 \, d^{11} f^{11} g^{7} e^{15} + 18564 \, d^{10} f^{12} g^{6} e^{16} + 8568 \, d^{9} f^{13} g^{5} e^{17} + 3060 \, d^{8} f^{14} g^{4} e^{18} + 816 \, d^{7} f^{15} g^{3} e^{19} + 153 \, d^{6} f^{16} g^{2} e^{20} + 18 \, d^{5} f^{17} g e^{21} + d^{4} f^{18} e^{22}} + \frac{15 \, {\left(d^{19} g^{17} e^{8} + 15 \, d^{18} f g^{16} e^{9} + 105 \, d^{17} f^{2} g^{15} e^{10} + 455 \, d^{16} f^{3} g^{14} e^{11} + 1365 \, d^{15} f^{4} g^{13} e^{12} + 3003 \, d^{14} f^{5} g^{12} e^{13} + 5005 \, d^{13} f^{6} g^{11} e^{14} + 6435 \, d^{12} f^{7} g^{10} e^{15} + 6435 \, d^{11} f^{8} g^{9} e^{16} + 5005 \, d^{10} f^{9} g^{8} e^{17} + 3003 \, d^{9} f^{10} g^{7} e^{18} + 1365 \, d^{8} f^{11} g^{6} e^{19} + 455 \, d^{7} f^{12} g^{5} e^{20} + 105 \, d^{6} f^{13} g^{4} e^{21} + 15 \, d^{5} f^{14} g^{3} e^{22} + d^{4} f^{15} g^{2} e^{23}\right)}}{d^{22} g^{18} e^{4} + 18 \, d^{21} f g^{17} e^{5} + 153 \, d^{20} f^{2} g^{16} e^{6} + 816 \, d^{19} f^{3} g^{15} e^{7} + 3060 \, d^{18} f^{4} g^{14} e^{8} + 8568 \, d^{17} f^{5} g^{13} e^{9} + 18564 \, d^{16} f^{6} g^{12} e^{10} + 31824 \, d^{15} f^{7} g^{11} e^{11} + 43758 \, d^{14} f^{8} g^{10} e^{12} + 48620 \, d^{13} f^{9} g^{9} e^{13} + 43758 \, d^{12} f^{10} g^{8} e^{14} + 31824 \, d^{11} f^{11} g^{7} e^{15} + 18564 \, d^{10} f^{12} g^{6} e^{16} + 8568 \, d^{9} f^{13} g^{5} e^{17} + 3060 \, d^{8} f^{14} g^{4} e^{18} + 816 \, d^{7} f^{15} g^{3} e^{19} + 153 \, d^{6} f^{16} g^{2} e^{20} + 18 \, d^{5} f^{17} g e^{21} + d^{4} f^{18} e^{22}}\right)} x - \frac{5 \, {\left(11 \, d^{20} g^{17} e^{7} + 171 \, d^{19} f g^{16} e^{8} + 1246 \, d^{18} f^{2} g^{15} e^{9} + 5650 \, d^{17} f^{3} g^{14} e^{10} + 17850 \, d^{16} f^{4} g^{13} e^{11} + 41678 \, d^{15} f^{5} g^{12} e^{12} + 74438 \, d^{14} f^{6} g^{11} e^{13} + 103818 \, d^{13} f^{7} g^{10} e^{14} + 114400 \, d^{12} f^{8} g^{9} e^{15} + 100100 \, d^{11} f^{9} g^{8} e^{16} + 69498 \, d^{10} f^{10} g^{7} e^{17} + 38038 \, d^{9} f^{11} g^{6} e^{18} + 16198 \, d^{8} f^{12} g^{5} e^{19} + 5250 \, d^{7} f^{13} g^{4} e^{20} + 1250 \, d^{6} f^{14} g^{3} e^{21} + 206 \, d^{5} f^{15} g^{2} e^{22} + 21 \, d^{4} f^{16} g e^{23} + d^{3} f^{17} e^{24}\right)}}{d^{22} g^{18} e^{4} + 18 \, d^{21} f g^{17} e^{5} + 153 \, d^{20} f^{2} g^{16} e^{6} + 816 \, d^{19} f^{3} g^{15} e^{7} + 3060 \, d^{18} f^{4} g^{14} e^{8} + 8568 \, d^{17} f^{5} g^{13} e^{9} + 18564 \, d^{16} f^{6} g^{12} e^{10} + 31824 \, d^{15} f^{7} g^{11} e^{11} + 43758 \, d^{14} f^{8} g^{10} e^{12} + 48620 \, d^{13} f^{9} g^{9} e^{13} + 43758 \, d^{12} f^{10} g^{8} e^{14} + 31824 \, d^{11} f^{11} g^{7} e^{15} + 18564 \, d^{10} f^{12} g^{6} e^{16} + 8568 \, d^{9} f^{13} g^{5} e^{17} + 3060 \, d^{8} f^{14} g^{4} e^{18} + 816 \, d^{7} f^{15} g^{3} e^{19} + 153 \, d^{6} f^{16} g^{2} e^{20} + 18 \, d^{5} f^{17} g e^{21} + d^{4} f^{18} e^{22}}\right)} x - \frac{5 \, {\left(7 \, d^{21} g^{17} e^{6} + 105 \, d^{20} f g^{16} e^{7} + 734 \, d^{19} f^{2} g^{15} e^{8} + 3170 \, d^{18} f^{3} g^{14} e^{9} + 9450 \, d^{17} f^{4} g^{13} e^{10} + 20566 \, d^{16} f^{5} g^{12} e^{11} + 33670 \, d^{15} f^{6} g^{11} e^{12} + 42042 \, d^{14} f^{7} g^{10} e^{13} + 40040 \, d^{13} f^{8} g^{9} e^{14} + 28600 \, d^{12} f^{9} g^{8} e^{15} + 14586 \, d^{11} f^{10} g^{7} e^{16} + 4550 \, d^{10} f^{11} g^{6} e^{17} + 182 \, d^{9} f^{12} g^{5} e^{18} - 630 \, d^{8} f^{13} g^{4} e^{19} - 350 \, d^{7} f^{14} g^{3} e^{20} - 98 \, d^{6} f^{15} g^{2} e^{21} - 15 \, d^{5} f^{16} g e^{22} - d^{4} f^{17} e^{23}\right)}}{d^{22} g^{18} e^{4} + 18 \, d^{21} f g^{17} e^{5} + 153 \, d^{20} f^{2} g^{16} e^{6} + 816 \, d^{19} f^{3} g^{15} e^{7} + 3060 \, d^{18} f^{4} g^{14} e^{8} + 8568 \, d^{17} f^{5} g^{13} e^{9} + 18564 \, d^{16} f^{6} g^{12} e^{10} + 31824 \, d^{15} f^{7} g^{11} e^{11} + 43758 \, d^{14} f^{8} g^{10} e^{12} + 48620 \, d^{13} f^{9} g^{9} e^{13} + 43758 \, d^{12} f^{10} g^{8} e^{14} + 31824 \, d^{11} f^{11} g^{7} e^{15} + 18564 \, d^{10} f^{12} g^{6} e^{16} + 8568 \, d^{9} f^{13} g^{5} e^{17} + 3060 \, d^{8} f^{14} g^{4} e^{18} + 816 \, d^{7} f^{15} g^{3} e^{19} + 153 \, d^{6} f^{16} g^{2} e^{20} + 18 \, d^{5} f^{17} g e^{21} + d^{4} f^{18} e^{22}}\right)} x + \frac{15 \, {\left(3 \, d^{22} g^{17} e^{5} + 48 \, d^{21} f g^{16} e^{6} + 361 \, d^{20} f^{2} g^{15} e^{7} + 1695 \, d^{19} f^{3} g^{14} e^{8} + 5565 \, d^{18} f^{4} g^{13} e^{9} + 13559 \, d^{17} f^{5} g^{12} e^{10} + 25389 \, d^{16} f^{6} g^{11} e^{11} + 37323 \, d^{15} f^{7} g^{10} e^{12} + 43615 \, d^{14} f^{8} g^{9} e^{13} + 40755 \, d^{13} f^{9} g^{8} e^{14} + 30459 \, d^{12} f^{10} g^{7} e^{15} + 18109 \, d^{11} f^{11} g^{6} e^{16} + 8463 \, d^{10} f^{12} g^{5} e^{17} + 3045 \, d^{9} f^{13} g^{4} e^{18} + 815 \, d^{8} f^{14} g^{3} e^{19} + 153 \, d^{7} f^{15} g^{2} e^{20} + 18 \, d^{6} f^{16} g e^{21} + d^{5} f^{17} e^{22}\right)}}{d^{22} g^{18} e^{4} + 18 \, d^{21} f g^{17} e^{5} + 153 \, d^{20} f^{2} g^{16} e^{6} + 816 \, d^{19} f^{3} g^{15} e^{7} + 3060 \, d^{18} f^{4} g^{14} e^{8} + 8568 \, d^{17} f^{5} g^{13} e^{9} + 18564 \, d^{16} f^{6} g^{12} e^{10} + 31824 \, d^{15} f^{7} g^{11} e^{11} + 43758 \, d^{14} f^{8} g^{10} e^{12} + 48620 \, d^{13} f^{9} g^{9} e^{13} + 43758 \, d^{12} f^{10} g^{8} e^{14} + 31824 \, d^{11} f^{11} g^{7} e^{15} + 18564 \, d^{10} f^{12} g^{6} e^{16} + 8568 \, d^{9} f^{13} g^{5} e^{17} + 3060 \, d^{8} f^{14} g^{4} e^{18} + 816 \, d^{7} f^{15} g^{3} e^{19} + 153 \, d^{6} f^{16} g^{2} e^{20} + 18 \, d^{5} f^{17} g e^{21} + d^{4} f^{18} e^{22}}\right)} x + \frac{32 \, d^{23} g^{17} e^{4} + 504 \, d^{22} f g^{16} e^{5} + 3727 \, d^{21} f^{2} g^{15} e^{6} + 17185 \, d^{20} f^{3} g^{14} e^{7} + 55335 \, d^{19} f^{4} g^{13} e^{8} + 132041 \, d^{18} f^{5} g^{12} e^{9} + 241787 \, d^{17} f^{6} g^{11} e^{10} + 347061 \, d^{16} f^{7} g^{10} e^{11} + 395395 \, d^{15} f^{8} g^{9} e^{12} + 359645 \, d^{14} f^{9} g^{8} e^{13} + 261261 \, d^{13} f^{10} g^{7} e^{14} + 150787 \, d^{12} f^{11} g^{6} e^{15} + 68341 \, d^{11} f^{12} g^{5} e^{16} + 23835 \, d^{10} f^{13} g^{4} e^{17} + 6185 \, d^{9} f^{14} g^{3} e^{18} + 1127 \, d^{8} f^{15} g^{2} e^{19} + 129 \, d^{7} f^{16} g e^{20} + 7 \, d^{6} f^{17} e^{21}}{d^{22} g^{18} e^{4} + 18 \, d^{21} f g^{17} e^{5} + 153 \, d^{20} f^{2} g^{16} e^{6} + 816 \, d^{19} f^{3} g^{15} e^{7} + 3060 \, d^{18} f^{4} g^{14} e^{8} + 8568 \, d^{17} f^{5} g^{13} e^{9} + 18564 \, d^{16} f^{6} g^{12} e^{10} + 31824 \, d^{15} f^{7} g^{11} e^{11} + 43758 \, d^{14} f^{8} g^{10} e^{12} + 48620 \, d^{13} f^{9} g^{9} e^{13} + 43758 \, d^{12} f^{10} g^{8} e^{14} + 31824 \, d^{11} f^{11} g^{7} e^{15} + 18564 \, d^{10} f^{12} g^{6} e^{16} + 8568 \, d^{9} f^{13} g^{5} e^{17} + 3060 \, d^{8} f^{14} g^{4} e^{18} + 816 \, d^{7} f^{15} g^{3} e^{19} + 153 \, d^{6} f^{16} g^{2} e^{20} + 18 \, d^{5} f^{17} g e^{21} + d^{4} f^{18} e^{22}}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}}"," ",0,"-2*(d^3*g^6*e^2 - 3*d^2*f*g^5*e^3 + 3*d*f^2*g^4*e^4 - f^3*g^3*e^5)*arctan((d*g*e + (d*e + sqrt(-x^2*e^2 + d^2)*e)*f/x)/sqrt(-d^2*g^2*e^2 + f^2*e^4))/((d^6*g^6*e - 3*d^4*f^2*g^4*e^3 + 3*d^2*f^4*g^2*e^5 - f^6*e^7)*sqrt(-d^2*g^2*e^2 + f^2*e^4)) - 1/15*sqrt(-x^2*e^2 + d^2)*((((((22*d^18*g^17*e^9 + 339*d^17*f*g^16*e^10 + 2447*d^16*f^2*g^15*e^11 + 10985*d^15*f^3*g^14*e^12 + 34335*d^14*f^4*g^13*e^13 + 79261*d^13*f^5*g^12*e^14 + 139867*d^12*f^6*g^11*e^15 + 192621*d^11*f^7*g^10*e^16 + 209495*d^10*f^8*g^9*e^17 + 180895*d^9*f^9*g^8*e^18 + 123981*d^8*f^10*g^7*e^19 + 67067*d^7*f^11*g^6*e^20 + 28301*d^6*f^12*g^5*e^21 + 9135*d^5*f^13*g^4*e^22 + 2185*d^4*f^14*g^3*e^23 + 367*d^3*f^15*g^2*e^24 + 39*d^2*f^16*g*e^25 + 2*d*f^17*e^26)*x/(d^22*g^18*e^4 + 18*d^21*f*g^17*e^5 + 153*d^20*f^2*g^16*e^6 + 816*d^19*f^3*g^15*e^7 + 3060*d^18*f^4*g^14*e^8 + 8568*d^17*f^5*g^13*e^9 + 18564*d^16*f^6*g^12*e^10 + 31824*d^15*f^7*g^11*e^11 + 43758*d^14*f^8*g^10*e^12 + 48620*d^13*f^9*g^9*e^13 + 43758*d^12*f^10*g^8*e^14 + 31824*d^11*f^11*g^7*e^15 + 18564*d^10*f^12*g^6*e^16 + 8568*d^9*f^13*g^5*e^17 + 3060*d^8*f^14*g^4*e^18 + 816*d^7*f^15*g^3*e^19 + 153*d^6*f^16*g^2*e^20 + 18*d^5*f^17*g*e^21 + d^4*f^18*e^22) + 15*(d^19*g^17*e^8 + 15*d^18*f*g^16*e^9 + 105*d^17*f^2*g^15*e^10 + 455*d^16*f^3*g^14*e^11 + 1365*d^15*f^4*g^13*e^12 + 3003*d^14*f^5*g^12*e^13 + 5005*d^13*f^6*g^11*e^14 + 6435*d^12*f^7*g^10*e^15 + 6435*d^11*f^8*g^9*e^16 + 5005*d^10*f^9*g^8*e^17 + 3003*d^9*f^10*g^7*e^18 + 1365*d^8*f^11*g^6*e^19 + 455*d^7*f^12*g^5*e^20 + 105*d^6*f^13*g^4*e^21 + 15*d^5*f^14*g^3*e^22 + d^4*f^15*g^2*e^23)/(d^22*g^18*e^4 + 18*d^21*f*g^17*e^5 + 153*d^20*f^2*g^16*e^6 + 816*d^19*f^3*g^15*e^7 + 3060*d^18*f^4*g^14*e^8 + 8568*d^17*f^5*g^13*e^9 + 18564*d^16*f^6*g^12*e^10 + 31824*d^15*f^7*g^11*e^11 + 43758*d^14*f^8*g^10*e^12 + 48620*d^13*f^9*g^9*e^13 + 43758*d^12*f^10*g^8*e^14 + 31824*d^11*f^11*g^7*e^15 + 18564*d^10*f^12*g^6*e^16 + 8568*d^9*f^13*g^5*e^17 + 3060*d^8*f^14*g^4*e^18 + 816*d^7*f^15*g^3*e^19 + 153*d^6*f^16*g^2*e^20 + 18*d^5*f^17*g*e^21 + d^4*f^18*e^22))*x - 5*(11*d^20*g^17*e^7 + 171*d^19*f*g^16*e^8 + 1246*d^18*f^2*g^15*e^9 + 5650*d^17*f^3*g^14*e^10 + 17850*d^16*f^4*g^13*e^11 + 41678*d^15*f^5*g^12*e^12 + 74438*d^14*f^6*g^11*e^13 + 103818*d^13*f^7*g^10*e^14 + 114400*d^12*f^8*g^9*e^15 + 100100*d^11*f^9*g^8*e^16 + 69498*d^10*f^10*g^7*e^17 + 38038*d^9*f^11*g^6*e^18 + 16198*d^8*f^12*g^5*e^19 + 5250*d^7*f^13*g^4*e^20 + 1250*d^6*f^14*g^3*e^21 + 206*d^5*f^15*g^2*e^22 + 21*d^4*f^16*g*e^23 + d^3*f^17*e^24)/(d^22*g^18*e^4 + 18*d^21*f*g^17*e^5 + 153*d^20*f^2*g^16*e^6 + 816*d^19*f^3*g^15*e^7 + 3060*d^18*f^4*g^14*e^8 + 8568*d^17*f^5*g^13*e^9 + 18564*d^16*f^6*g^12*e^10 + 31824*d^15*f^7*g^11*e^11 + 43758*d^14*f^8*g^10*e^12 + 48620*d^13*f^9*g^9*e^13 + 43758*d^12*f^10*g^8*e^14 + 31824*d^11*f^11*g^7*e^15 + 18564*d^10*f^12*g^6*e^16 + 8568*d^9*f^13*g^5*e^17 + 3060*d^8*f^14*g^4*e^18 + 816*d^7*f^15*g^3*e^19 + 153*d^6*f^16*g^2*e^20 + 18*d^5*f^17*g*e^21 + d^4*f^18*e^22))*x - 5*(7*d^21*g^17*e^6 + 105*d^20*f*g^16*e^7 + 734*d^19*f^2*g^15*e^8 + 3170*d^18*f^3*g^14*e^9 + 9450*d^17*f^4*g^13*e^10 + 20566*d^16*f^5*g^12*e^11 + 33670*d^15*f^6*g^11*e^12 + 42042*d^14*f^7*g^10*e^13 + 40040*d^13*f^8*g^9*e^14 + 28600*d^12*f^9*g^8*e^15 + 14586*d^11*f^10*g^7*e^16 + 4550*d^10*f^11*g^6*e^17 + 182*d^9*f^12*g^5*e^18 - 630*d^8*f^13*g^4*e^19 - 350*d^7*f^14*g^3*e^20 - 98*d^6*f^15*g^2*e^21 - 15*d^5*f^16*g*e^22 - d^4*f^17*e^23)/(d^22*g^18*e^4 + 18*d^21*f*g^17*e^5 + 153*d^20*f^2*g^16*e^6 + 816*d^19*f^3*g^15*e^7 + 3060*d^18*f^4*g^14*e^8 + 8568*d^17*f^5*g^13*e^9 + 18564*d^16*f^6*g^12*e^10 + 31824*d^15*f^7*g^11*e^11 + 43758*d^14*f^8*g^10*e^12 + 48620*d^13*f^9*g^9*e^13 + 43758*d^12*f^10*g^8*e^14 + 31824*d^11*f^11*g^7*e^15 + 18564*d^10*f^12*g^6*e^16 + 8568*d^9*f^13*g^5*e^17 + 3060*d^8*f^14*g^4*e^18 + 816*d^7*f^15*g^3*e^19 + 153*d^6*f^16*g^2*e^20 + 18*d^5*f^17*g*e^21 + d^4*f^18*e^22))*x + 15*(3*d^22*g^17*e^5 + 48*d^21*f*g^16*e^6 + 361*d^20*f^2*g^15*e^7 + 1695*d^19*f^3*g^14*e^8 + 5565*d^18*f^4*g^13*e^9 + 13559*d^17*f^5*g^12*e^10 + 25389*d^16*f^6*g^11*e^11 + 37323*d^15*f^7*g^10*e^12 + 43615*d^14*f^8*g^9*e^13 + 40755*d^13*f^9*g^8*e^14 + 30459*d^12*f^10*g^7*e^15 + 18109*d^11*f^11*g^6*e^16 + 8463*d^10*f^12*g^5*e^17 + 3045*d^9*f^13*g^4*e^18 + 815*d^8*f^14*g^3*e^19 + 153*d^7*f^15*g^2*e^20 + 18*d^6*f^16*g*e^21 + d^5*f^17*e^22)/(d^22*g^18*e^4 + 18*d^21*f*g^17*e^5 + 153*d^20*f^2*g^16*e^6 + 816*d^19*f^3*g^15*e^7 + 3060*d^18*f^4*g^14*e^8 + 8568*d^17*f^5*g^13*e^9 + 18564*d^16*f^6*g^12*e^10 + 31824*d^15*f^7*g^11*e^11 + 43758*d^14*f^8*g^10*e^12 + 48620*d^13*f^9*g^9*e^13 + 43758*d^12*f^10*g^8*e^14 + 31824*d^11*f^11*g^7*e^15 + 18564*d^10*f^12*g^6*e^16 + 8568*d^9*f^13*g^5*e^17 + 3060*d^8*f^14*g^4*e^18 + 816*d^7*f^15*g^3*e^19 + 153*d^6*f^16*g^2*e^20 + 18*d^5*f^17*g*e^21 + d^4*f^18*e^22))*x + (32*d^23*g^17*e^4 + 504*d^22*f*g^16*e^5 + 3727*d^21*f^2*g^15*e^6 + 17185*d^20*f^3*g^14*e^7 + 55335*d^19*f^4*g^13*e^8 + 132041*d^18*f^5*g^12*e^9 + 241787*d^17*f^6*g^11*e^10 + 347061*d^16*f^7*g^10*e^11 + 395395*d^15*f^8*g^9*e^12 + 359645*d^14*f^9*g^8*e^13 + 261261*d^13*f^10*g^7*e^14 + 150787*d^12*f^11*g^6*e^15 + 68341*d^11*f^12*g^5*e^16 + 23835*d^10*f^13*g^4*e^17 + 6185*d^9*f^14*g^3*e^18 + 1127*d^8*f^15*g^2*e^19 + 129*d^7*f^16*g*e^20 + 7*d^6*f^17*e^21)/(d^22*g^18*e^4 + 18*d^21*f*g^17*e^5 + 153*d^20*f^2*g^16*e^6 + 816*d^19*f^3*g^15*e^7 + 3060*d^18*f^4*g^14*e^8 + 8568*d^17*f^5*g^13*e^9 + 18564*d^16*f^6*g^12*e^10 + 31824*d^15*f^7*g^11*e^11 + 43758*d^14*f^8*g^10*e^12 + 48620*d^13*f^9*g^9*e^13 + 43758*d^12*f^10*g^8*e^14 + 31824*d^11*f^11*g^7*e^15 + 18564*d^10*f^12*g^6*e^16 + 8568*d^9*f^13*g^5*e^17 + 3060*d^8*f^14*g^4*e^18 + 816*d^7*f^15*g^3*e^19 + 153*d^6*f^16*g^2*e^20 + 18*d^5*f^17*g*e^21 + d^4*f^18*e^22))/(x^2*e^2 - d^2)^3","B",0
586,1,4343,0,2.967834," ","integrate((e*x+d)^3/(g*x+f)^2/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(-45 i \, d^{9} g^{12} e^{6} \log\left(d^{2} g^{4} e^{2}\right) - 75 i \, d^{8} f g^{11} e^{7} \log\left(d^{2} g^{4} e^{2}\right) + 90 i \, d^{7} f^{2} g^{10} e^{8} \log\left(d^{2} g^{4} e^{2}\right) + 144 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{8} g^{10} {\left| g \right|} e^{6} + 210 i \, d^{6} f^{3} g^{9} e^{9} \log\left(d^{2} g^{4} e^{2}\right) + 346 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{7} f g^{9} {\left| g \right|} e^{7} + 15 i \, d^{5} f^{4} g^{8} e^{10} \log\left(d^{2} g^{4} e^{2}\right) + 6 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{6} f^{2} g^{8} {\left| g \right|} e^{8} - 135 i \, d^{4} f^{5} g^{7} e^{11} \log\left(d^{2} g^{4} e^{2}\right) - 536 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{5} f^{3} g^{7} {\left| g \right|} e^{9} - 60 i \, d^{3} f^{6} g^{6} e^{12} \log\left(d^{2} g^{4} e^{2}\right) - 320 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{4} f^{4} g^{6} {\left| g \right|} e^{10} + 154 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{3} f^{5} g^{5} {\left| g \right|} e^{11} + 166 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{2} f^{6} g^{4} {\left| g \right|} e^{12} + 36 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d f^{7} g^{3} {\left| g \right|} e^{13} + 4 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} f^{8} g^{2} {\left| g \right|} e^{14}\right)} \mathrm{sgn}\left(\frac{1}{g x + f}\right) \mathrm{sgn}\left(g\right)}{30 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{13} g^{10} {\left| g \right|} e^{5} + 180 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{12} f g^{9} {\left| g \right|} e^{6} + 390 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{11} f^{2} g^{8} {\left| g \right|} e^{7} + 240 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{10} f^{3} g^{7} {\left| g \right|} e^{8} - 420 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{9} f^{4} g^{6} {\left| g \right|} e^{9} - 840 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{8} f^{5} g^{5} {\left| g \right|} e^{10} - 420 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{7} f^{6} g^{4} {\left| g \right|} e^{11} + 240 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{6} f^{7} g^{3} {\left| g \right|} e^{12} + 390 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{5} f^{8} g^{2} {\left| g \right|} e^{13} + 180 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{4} f^{9} g {\left| g \right|} e^{14} + 30 i \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{3} f^{10} {\left| g \right|} e^{15}} + \frac{15 \, {\left(3 \, d g^{7} e - 4 \, f g^{6} e^{2}\right)} \log\left({\left| f g e^{2} + \sqrt{d^{2} g^{2} - f^{2} e^{2}} {\left(\sqrt{\frac{d^{2} g^{2}}{{\left(g x + f\right)}^{2}} + \frac{2 \, f e^{2}}{g x + f} - \frac{f^{2} e^{2}}{{\left(g x + f\right)}^{2}} - e^{2}} + \frac{\sqrt{d^{2} g^{4} - f^{2} g^{2} e^{2}}}{{\left(g x + f\right)} g}\right)} {\left| g \right|} \right|}\right)}{\sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{5} g^{5} {\left| g \right|} \mathrm{sgn}\left(\frac{1}{g x + f}\right) \mathrm{sgn}\left(g\right) + 3 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{4} f g^{4} {\left| g \right|} e \mathrm{sgn}\left(\frac{1}{g x + f}\right) \mathrm{sgn}\left(g\right) + 2 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{3} f^{2} g^{3} {\left| g \right|} e^{2} \mathrm{sgn}\left(\frac{1}{g x + f}\right) \mathrm{sgn}\left(g\right) - 2 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d^{2} f^{3} g^{2} {\left| g \right|} e^{3} \mathrm{sgn}\left(\frac{1}{g x + f}\right) \mathrm{sgn}\left(g\right) - 3 \, \sqrt{d^{2} g^{2} - f^{2} e^{2}} d f^{4} g {\left| g \right|} e^{4} \mathrm{sgn}\left(\frac{1}{g x + f}\right) \mathrm{sgn}\left(g\right) - \sqrt{d^{2} g^{2} - f^{2} e^{2}} f^{5} {\left| g \right|} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right) \mathrm{sgn}\left(g\right)} - \frac{\frac{72 \, d^{8} g^{24} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 187 \, d^{7} f g^{23} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 146 \, d^{6} f^{2} g^{22} e^{12} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 21 \, d^{5} f^{3} g^{21} e^{13} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 8 \, d^{4} f^{4} g^{20} e^{14} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 2 \, d^{3} f^{5} g^{19} e^{15} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3}}{d^{13} g^{24} e^{4} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + d^{12} f g^{23} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{11} f^{2} g^{22} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{10} f^{3} g^{21} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{9} f^{4} g^{20} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{8} f^{5} g^{19} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{7} f^{6} g^{18} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{6} f^{7} g^{17} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4}} + \frac{\frac{5 \, {\left(9 \, d^{9} g^{26} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 102 \, d^{8} f g^{25} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 220 \, d^{7} f^{2} g^{24} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 158 \, d^{6} f^{3} g^{23} e^{12} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 21 \, d^{5} f^{4} g^{22} e^{13} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 8 \, d^{4} f^{5} g^{21} e^{14} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 2 \, d^{3} f^{6} g^{20} e^{15} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3}\right)}}{d^{13} g^{24} e^{4} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + d^{12} f g^{23} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{11} f^{2} g^{22} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{10} f^{3} g^{21} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{9} f^{4} g^{20} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{8} f^{5} g^{19} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{7} f^{6} g^{18} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{6} f^{7} g^{17} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4}} - \frac{\frac{5 \, {\left(36 \, d^{10} g^{28} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 53 \, d^{9} f g^{27} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 206 \, d^{8} f^{2} g^{26} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 512 \, d^{7} f^{3} g^{25} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 350 \, d^{6} f^{4} g^{24} e^{12} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 41 \, d^{5} f^{5} g^{23} e^{13} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 16 \, d^{4} f^{6} g^{22} e^{14} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 4 \, d^{3} f^{7} g^{21} e^{15} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3}\right)}}{d^{13} g^{24} e^{4} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + d^{12} f g^{23} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{11} f^{2} g^{22} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{10} f^{3} g^{21} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{9} f^{4} g^{20} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{8} f^{5} g^{19} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{7} f^{6} g^{18} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{6} f^{7} g^{17} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4}} + \frac{\frac{5 \, {\left(21 \, d^{11} g^{30} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 178 \, d^{10} f g^{29} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 287 \, d^{9} f^{2} g^{28} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 132 \, d^{8} f^{3} g^{27} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 601 \, d^{7} f^{4} g^{26} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 398 \, d^{6} f^{5} g^{25} e^{12} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 39 \, d^{5} f^{6} g^{24} e^{13} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 16 \, d^{4} f^{7} g^{23} e^{14} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 4 \, d^{3} f^{8} g^{22} e^{15} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3}\right)}}{d^{13} g^{24} e^{4} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + d^{12} f g^{23} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{11} f^{2} g^{22} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{10} f^{3} g^{21} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{9} f^{4} g^{20} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{8} f^{5} g^{19} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{7} f^{6} g^{18} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{6} f^{7} g^{17} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4}} - \frac{\frac{5 \, {\left(27 \, d^{12} g^{32} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 18 \, d^{11} f g^{31} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 227 \, d^{10} f^{2} g^{30} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 406 \, d^{9} f^{3} g^{29} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 27 \, d^{8} f^{4} g^{28} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 368 \, d^{7} f^{5} g^{27} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 235 \, d^{6} f^{6} g^{26} e^{12} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 18 \, d^{5} f^{7} g^{25} e^{13} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 8 \, d^{4} f^{8} g^{24} e^{14} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 2 \, d^{3} f^{9} g^{23} e^{15} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3}\right)}}{d^{13} g^{24} e^{4} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + d^{12} f g^{23} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{11} f^{2} g^{22} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{10} f^{3} g^{21} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{9} f^{4} g^{20} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{8} f^{5} g^{19} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{7} f^{6} g^{18} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{6} f^{7} g^{17} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4}} + \frac{\frac{2 \, {\left(36 \, d^{13} g^{34} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 181 \, d^{12} f g^{33} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 203 \, d^{11} f^{2} g^{32} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 217 \, d^{10} f^{3} g^{31} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 504 \, d^{9} f^{4} g^{30} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 113 \, d^{8} f^{5} g^{29} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 256 \, d^{7} f^{6} g^{28} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 153 \, d^{6} f^{7} g^{27} e^{12} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 8 \, d^{5} f^{8} g^{26} e^{13} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 4 \, d^{4} f^{9} g^{25} e^{14} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + d^{3} f^{10} g^{24} e^{15} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3}\right)}}{d^{13} g^{24} e^{4} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + d^{12} f g^{23} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{11} f^{2} g^{22} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{10} f^{3} g^{21} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{9} f^{4} g^{20} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{8} f^{5} g^{19} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{7} f^{6} g^{18} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{6} f^{7} g^{17} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4}} - \frac{15 \, {\left(d^{14} g^{36} e^{4} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 2 \, d^{13} f g^{35} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 2 \, d^{12} f^{2} g^{34} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 6 \, d^{11} f^{3} g^{33} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - 6 \, d^{9} f^{5} g^{31} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 2 \, d^{8} f^{6} g^{30} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} + 2 \, d^{7} f^{7} g^{29} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3} - d^{6} f^{8} g^{28} e^{12} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{3} \mathrm{sgn}\left(g\right)^{3}\right)}}{{\left(d^{13} g^{24} e^{4} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + d^{12} f g^{23} e^{5} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{11} f^{2} g^{22} e^{6} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - 3 \, d^{10} f^{3} g^{21} e^{7} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{9} f^{4} g^{20} e^{8} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} + 3 \, d^{8} f^{5} g^{19} e^{9} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{7} f^{6} g^{18} e^{10} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4} - d^{6} f^{7} g^{17} e^{11} \mathrm{sgn}\left(\frac{1}{g x + f}\right)^{4} \mathrm{sgn}\left(g\right)^{4}\right)} {\left(g x + f\right)} g}}{{\left(g x + f\right)} g}}{{\left(g x + f\right)} g}}{{\left(g x + f\right)} g}}{{\left(g x + f\right)} g}}{{\left(g x + f\right)} g}}{{\left(\frac{d^{2} g^{2}}{{\left(g x + f\right)}^{2}} + \frac{2 \, f e^{2}}{g x + f} - \frac{f^{2} e^{2}}{{\left(g x + f\right)}^{2}} - e^{2}\right)}^{\frac{5}{2}}}}{15 \, g^{2}}"," ",0,"-1/15*(15*(-45*I*d^9*g^12*e^6*log(d^2*g^4*e^2) - 75*I*d^8*f*g^11*e^7*log(d^2*g^4*e^2) + 90*I*d^7*f^2*g^10*e^8*log(d^2*g^4*e^2) + 144*sqrt(d^2*g^2 - f^2*e^2)*d^8*g^10*abs(g)*e^6 + 210*I*d^6*f^3*g^9*e^9*log(d^2*g^4*e^2) + 346*sqrt(d^2*g^2 - f^2*e^2)*d^7*f*g^9*abs(g)*e^7 + 15*I*d^5*f^4*g^8*e^10*log(d^2*g^4*e^2) + 6*sqrt(d^2*g^2 - f^2*e^2)*d^6*f^2*g^8*abs(g)*e^8 - 135*I*d^4*f^5*g^7*e^11*log(d^2*g^4*e^2) - 536*sqrt(d^2*g^2 - f^2*e^2)*d^5*f^3*g^7*abs(g)*e^9 - 60*I*d^3*f^6*g^6*e^12*log(d^2*g^4*e^2) - 320*sqrt(d^2*g^2 - f^2*e^2)*d^4*f^4*g^6*abs(g)*e^10 + 154*sqrt(d^2*g^2 - f^2*e^2)*d^3*f^5*g^5*abs(g)*e^11 + 166*sqrt(d^2*g^2 - f^2*e^2)*d^2*f^6*g^4*abs(g)*e^12 + 36*sqrt(d^2*g^2 - f^2*e^2)*d*f^7*g^3*abs(g)*e^13 + 4*sqrt(d^2*g^2 - f^2*e^2)*f^8*g^2*abs(g)*e^14)*sgn(1/(g*x + f))*sgn(g)/(30*I*sqrt(d^2*g^2 - f^2*e^2)*d^13*g^10*abs(g)*e^5 + 180*I*sqrt(d^2*g^2 - f^2*e^2)*d^12*f*g^9*abs(g)*e^6 + 390*I*sqrt(d^2*g^2 - f^2*e^2)*d^11*f^2*g^8*abs(g)*e^7 + 240*I*sqrt(d^2*g^2 - f^2*e^2)*d^10*f^3*g^7*abs(g)*e^8 - 420*I*sqrt(d^2*g^2 - f^2*e^2)*d^9*f^4*g^6*abs(g)*e^9 - 840*I*sqrt(d^2*g^2 - f^2*e^2)*d^8*f^5*g^5*abs(g)*e^10 - 420*I*sqrt(d^2*g^2 - f^2*e^2)*d^7*f^6*g^4*abs(g)*e^11 + 240*I*sqrt(d^2*g^2 - f^2*e^2)*d^6*f^7*g^3*abs(g)*e^12 + 390*I*sqrt(d^2*g^2 - f^2*e^2)*d^5*f^8*g^2*abs(g)*e^13 + 180*I*sqrt(d^2*g^2 - f^2*e^2)*d^4*f^9*g*abs(g)*e^14 + 30*I*sqrt(d^2*g^2 - f^2*e^2)*d^3*f^10*abs(g)*e^15) + 15*(3*d*g^7*e - 4*f*g^6*e^2)*log(abs(f*g*e^2 + sqrt(d^2*g^2 - f^2*e^2)*(sqrt(d^2*g^2/(g*x + f)^2 + 2*f*e^2/(g*x + f) - f^2*e^2/(g*x + f)^2 - e^2) + sqrt(d^2*g^4 - f^2*g^2*e^2)/((g*x + f)*g))*abs(g)))/(sqrt(d^2*g^2 - f^2*e^2)*d^5*g^5*abs(g)*sgn(1/(g*x + f))*sgn(g) + 3*sqrt(d^2*g^2 - f^2*e^2)*d^4*f*g^4*abs(g)*e*sgn(1/(g*x + f))*sgn(g) + 2*sqrt(d^2*g^2 - f^2*e^2)*d^3*f^2*g^3*abs(g)*e^2*sgn(1/(g*x + f))*sgn(g) - 2*sqrt(d^2*g^2 - f^2*e^2)*d^2*f^3*g^2*abs(g)*e^3*sgn(1/(g*x + f))*sgn(g) - 3*sqrt(d^2*g^2 - f^2*e^2)*d*f^4*g*abs(g)*e^4*sgn(1/(g*x + f))*sgn(g) - sqrt(d^2*g^2 - f^2*e^2)*f^5*abs(g)*e^5*sgn(1/(g*x + f))*sgn(g)) - ((72*d^8*g^24*e^10*sgn(1/(g*x + f))^3*sgn(g)^3 - 187*d^7*f*g^23*e^11*sgn(1/(g*x + f))^3*sgn(g)^3 + 146*d^6*f^2*g^22*e^12*sgn(1/(g*x + f))^3*sgn(g)^3 - 21*d^5*f^3*g^21*e^13*sgn(1/(g*x + f))^3*sgn(g)^3 - 8*d^4*f^4*g^20*e^14*sgn(1/(g*x + f))^3*sgn(g)^3 - 2*d^3*f^5*g^19*e^15*sgn(1/(g*x + f))^3*sgn(g)^3)/(d^13*g^24*e^4*sgn(1/(g*x + f))^4*sgn(g)^4 + d^12*f*g^23*e^5*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^11*f^2*g^22*e^6*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^10*f^3*g^21*e^7*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^9*f^4*g^20*e^8*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^8*f^5*g^19*e^9*sgn(1/(g*x + f))^4*sgn(g)^4 - d^7*f^6*g^18*e^10*sgn(1/(g*x + f))^4*sgn(g)^4 - d^6*f^7*g^17*e^11*sgn(1/(g*x + f))^4*sgn(g)^4) + (5*(9*d^9*g^26*e^9*sgn(1/(g*x + f))^3*sgn(g)^3 - 102*d^8*f*g^25*e^10*sgn(1/(g*x + f))^3*sgn(g)^3 + 220*d^7*f^2*g^24*e^11*sgn(1/(g*x + f))^3*sgn(g)^3 - 158*d^6*f^3*g^23*e^12*sgn(1/(g*x + f))^3*sgn(g)^3 + 21*d^5*f^4*g^22*e^13*sgn(1/(g*x + f))^3*sgn(g)^3 + 8*d^4*f^5*g^21*e^14*sgn(1/(g*x + f))^3*sgn(g)^3 + 2*d^3*f^6*g^20*e^15*sgn(1/(g*x + f))^3*sgn(g)^3)/(d^13*g^24*e^4*sgn(1/(g*x + f))^4*sgn(g)^4 + d^12*f*g^23*e^5*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^11*f^2*g^22*e^6*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^10*f^3*g^21*e^7*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^9*f^4*g^20*e^8*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^8*f^5*g^19*e^9*sgn(1/(g*x + f))^4*sgn(g)^4 - d^7*f^6*g^18*e^10*sgn(1/(g*x + f))^4*sgn(g)^4 - d^6*f^7*g^17*e^11*sgn(1/(g*x + f))^4*sgn(g)^4) - (5*(36*d^10*g^28*e^8*sgn(1/(g*x + f))^3*sgn(g)^3 - 53*d^9*f*g^27*e^9*sgn(1/(g*x + f))^3*sgn(g)^3 - 206*d^8*f^2*g^26*e^10*sgn(1/(g*x + f))^3*sgn(g)^3 + 512*d^7*f^3*g^25*e^11*sgn(1/(g*x + f))^3*sgn(g)^3 - 350*d^6*f^4*g^24*e^12*sgn(1/(g*x + f))^3*sgn(g)^3 + 41*d^5*f^5*g^23*e^13*sgn(1/(g*x + f))^3*sgn(g)^3 + 16*d^4*f^6*g^22*e^14*sgn(1/(g*x + f))^3*sgn(g)^3 + 4*d^3*f^7*g^21*e^15*sgn(1/(g*x + f))^3*sgn(g)^3)/(d^13*g^24*e^4*sgn(1/(g*x + f))^4*sgn(g)^4 + d^12*f*g^23*e^5*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^11*f^2*g^22*e^6*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^10*f^3*g^21*e^7*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^9*f^4*g^20*e^8*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^8*f^5*g^19*e^9*sgn(1/(g*x + f))^4*sgn(g)^4 - d^7*f^6*g^18*e^10*sgn(1/(g*x + f))^4*sgn(g)^4 - d^6*f^7*g^17*e^11*sgn(1/(g*x + f))^4*sgn(g)^4) + (5*(21*d^11*g^30*e^7*sgn(1/(g*x + f))^3*sgn(g)^3 - 178*d^10*f*g^29*e^8*sgn(1/(g*x + f))^3*sgn(g)^3 + 287*d^9*f^2*g^28*e^9*sgn(1/(g*x + f))^3*sgn(g)^3 + 132*d^8*f^3*g^27*e^10*sgn(1/(g*x + f))^3*sgn(g)^3 - 601*d^7*f^4*g^26*e^11*sgn(1/(g*x + f))^3*sgn(g)^3 + 398*d^6*f^5*g^25*e^12*sgn(1/(g*x + f))^3*sgn(g)^3 - 39*d^5*f^6*g^24*e^13*sgn(1/(g*x + f))^3*sgn(g)^3 - 16*d^4*f^7*g^23*e^14*sgn(1/(g*x + f))^3*sgn(g)^3 - 4*d^3*f^8*g^22*e^15*sgn(1/(g*x + f))^3*sgn(g)^3)/(d^13*g^24*e^4*sgn(1/(g*x + f))^4*sgn(g)^4 + d^12*f*g^23*e^5*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^11*f^2*g^22*e^6*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^10*f^3*g^21*e^7*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^9*f^4*g^20*e^8*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^8*f^5*g^19*e^9*sgn(1/(g*x + f))^4*sgn(g)^4 - d^7*f^6*g^18*e^10*sgn(1/(g*x + f))^4*sgn(g)^4 - d^6*f^7*g^17*e^11*sgn(1/(g*x + f))^4*sgn(g)^4) - (5*(27*d^12*g^32*e^6*sgn(1/(g*x + f))^3*sgn(g)^3 - 18*d^11*f*g^31*e^7*sgn(1/(g*x + f))^3*sgn(g)^3 - 227*d^10*f^2*g^30*e^8*sgn(1/(g*x + f))^3*sgn(g)^3 + 406*d^9*f^3*g^29*e^9*sgn(1/(g*x + f))^3*sgn(g)^3 - 27*d^8*f^4*g^28*e^10*sgn(1/(g*x + f))^3*sgn(g)^3 - 368*d^7*f^5*g^27*e^11*sgn(1/(g*x + f))^3*sgn(g)^3 + 235*d^6*f^6*g^26*e^12*sgn(1/(g*x + f))^3*sgn(g)^3 - 18*d^5*f^7*g^25*e^13*sgn(1/(g*x + f))^3*sgn(g)^3 - 8*d^4*f^8*g^24*e^14*sgn(1/(g*x + f))^3*sgn(g)^3 - 2*d^3*f^9*g^23*e^15*sgn(1/(g*x + f))^3*sgn(g)^3)/(d^13*g^24*e^4*sgn(1/(g*x + f))^4*sgn(g)^4 + d^12*f*g^23*e^5*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^11*f^2*g^22*e^6*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^10*f^3*g^21*e^7*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^9*f^4*g^20*e^8*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^8*f^5*g^19*e^9*sgn(1/(g*x + f))^4*sgn(g)^4 - d^7*f^6*g^18*e^10*sgn(1/(g*x + f))^4*sgn(g)^4 - d^6*f^7*g^17*e^11*sgn(1/(g*x + f))^4*sgn(g)^4) + (2*(36*d^13*g^34*e^5*sgn(1/(g*x + f))^3*sgn(g)^3 - 181*d^12*f*g^33*e^6*sgn(1/(g*x + f))^3*sgn(g)^3 + 203*d^11*f^2*g^32*e^7*sgn(1/(g*x + f))^3*sgn(g)^3 + 217*d^10*f^3*g^31*e^8*sgn(1/(g*x + f))^3*sgn(g)^3 - 504*d^9*f^4*g^30*e^9*sgn(1/(g*x + f))^3*sgn(g)^3 + 113*d^8*f^5*g^29*e^10*sgn(1/(g*x + f))^3*sgn(g)^3 + 256*d^7*f^6*g^28*e^11*sgn(1/(g*x + f))^3*sgn(g)^3 - 153*d^6*f^7*g^27*e^12*sgn(1/(g*x + f))^3*sgn(g)^3 + 8*d^5*f^8*g^26*e^13*sgn(1/(g*x + f))^3*sgn(g)^3 + 4*d^4*f^9*g^25*e^14*sgn(1/(g*x + f))^3*sgn(g)^3 + d^3*f^10*g^24*e^15*sgn(1/(g*x + f))^3*sgn(g)^3)/(d^13*g^24*e^4*sgn(1/(g*x + f))^4*sgn(g)^4 + d^12*f*g^23*e^5*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^11*f^2*g^22*e^6*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^10*f^3*g^21*e^7*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^9*f^4*g^20*e^8*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^8*f^5*g^19*e^9*sgn(1/(g*x + f))^4*sgn(g)^4 - d^7*f^6*g^18*e^10*sgn(1/(g*x + f))^4*sgn(g)^4 - d^6*f^7*g^17*e^11*sgn(1/(g*x + f))^4*sgn(g)^4) - 15*(d^14*g^36*e^4*sgn(1/(g*x + f))^3*sgn(g)^3 - 2*d^13*f*g^35*e^5*sgn(1/(g*x + f))^3*sgn(g)^3 - 2*d^12*f^2*g^34*e^6*sgn(1/(g*x + f))^3*sgn(g)^3 + 6*d^11*f^3*g^33*e^7*sgn(1/(g*x + f))^3*sgn(g)^3 - 6*d^9*f^5*g^31*e^9*sgn(1/(g*x + f))^3*sgn(g)^3 + 2*d^8*f^6*g^30*e^10*sgn(1/(g*x + f))^3*sgn(g)^3 + 2*d^7*f^7*g^29*e^11*sgn(1/(g*x + f))^3*sgn(g)^3 - d^6*f^8*g^28*e^12*sgn(1/(g*x + f))^3*sgn(g)^3)/((d^13*g^24*e^4*sgn(1/(g*x + f))^4*sgn(g)^4 + d^12*f*g^23*e^5*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^11*f^2*g^22*e^6*sgn(1/(g*x + f))^4*sgn(g)^4 - 3*d^10*f^3*g^21*e^7*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^9*f^4*g^20*e^8*sgn(1/(g*x + f))^4*sgn(g)^4 + 3*d^8*f^5*g^19*e^9*sgn(1/(g*x + f))^4*sgn(g)^4 - d^7*f^6*g^18*e^10*sgn(1/(g*x + f))^4*sgn(g)^4 - d^6*f^7*g^17*e^11*sgn(1/(g*x + f))^4*sgn(g)^4)*(g*x + f)*g))/((g*x + f)*g))/((g*x + f)*g))/((g*x + f)*g))/((g*x + f)*g))/((g*x + f)*g))/(d^2*g^2/(g*x + f)^2 + 2*f*e^2/(g*x + f) - f^2*e^2/(g*x + f)^2 - e^2)^(5/2))/g^2","C",0
587,1,6017,0,2.090687," ","integrate((e*x+d)^3/(g*x+f)^3/(-e^2*x^2+d^2)^(7/2),x, algorithm=""giac"")","-\frac{{\left(13 \, d^{9} g^{12} e^{8} - 69 \, d^{8} f g^{11} e^{9} + 123 \, d^{7} f^{2} g^{10} e^{10} - 25 \, d^{6} f^{3} g^{9} e^{11} - 195 \, d^{5} f^{4} g^{8} e^{12} + 237 \, d^{4} f^{5} g^{7} e^{13} - 31 \, d^{3} f^{6} g^{6} e^{14} - 123 \, d^{2} f^{7} g^{5} e^{15} + 90 \, d f^{8} g^{4} e^{16} - 20 \, f^{9} g^{3} e^{17}\right)} \arctan\left(\frac{d g e + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} f}{x}}{\sqrt{-d^{2} g^{2} e^{2} + f^{2} e^{4}}}\right)}{{\left(d^{14} g^{14} e^{5} - 7 \, d^{12} f^{2} g^{12} e^{7} + 21 \, d^{10} f^{4} g^{10} e^{9} - 35 \, d^{8} f^{6} g^{8} e^{11} + 35 \, d^{6} f^{8} g^{6} e^{13} - 21 \, d^{4} f^{10} g^{4} e^{15} + 7 \, d^{2} f^{12} g^{2} e^{17} - f^{14} e^{19}\right)} \sqrt{-d^{2} g^{2} e^{2} + f^{2} e^{4}}} - \frac{\sqrt{-x^{2} e^{2} + d^{2}} {\left({\left({\left({\left({\left(\frac{{\left(107 \, d^{28} g^{27} e^{11} + 2694 \, d^{27} f g^{26} e^{12} + 32577 \, d^{26} f^{2} g^{25} e^{13} + 251850 \, d^{25} f^{3} g^{24} e^{14} + 1397850 \, d^{24} f^{4} g^{23} e^{15} + 5929860 \, d^{23} f^{5} g^{22} e^{16} + 19984470 \, d^{22} f^{6} g^{21} e^{17} + 54906060 \, d^{21} f^{7} g^{20} e^{18} + 125216025 \, d^{20} f^{8} g^{19} e^{19} + 240109650 \, d^{19} f^{9} g^{18} e^{20} + 390736995 \, d^{18} f^{10} g^{17} e^{21} + 543134190 \, d^{17} f^{11} g^{16} e^{22} + 647660220 \, d^{16} f^{12} g^{15} e^{23} + 664152600 \, d^{15} f^{13} g^{14} e^{24} + 586148100 \, d^{14} f^{14} g^{13} e^{25} + 444848520 \, d^{13} f^{15} g^{12} e^{26} + 289619565 \, d^{12} f^{16} g^{11} e^{27} + 161082570 \, d^{11} f^{17} g^{10} e^{28} + 76070775 \, d^{10} f^{18} g^{9} e^{29} + 30246150 \, d^{9} f^{19} g^{8} e^{30} + 10011210 \, d^{8} f^{20} g^{7} e^{31} + 2717220 \, d^{7} f^{21} g^{6} e^{32} + 592710 \, d^{6} f^{22} g^{5} e^{33} + 101100 \, d^{5} f^{23} g^{4} e^{34} + 12975 \, d^{4} f^{24} g^{3} e^{35} + 1182 \, d^{3} f^{25} g^{2} e^{36} + 69 \, d^{2} f^{26} g e^{37} + 2 \, d f^{27} e^{38}\right)} x}{d^{34} g^{30} e^{4} + 30 \, d^{33} f g^{29} e^{5} + 435 \, d^{32} f^{2} g^{28} e^{6} + 4060 \, d^{31} f^{3} g^{27} e^{7} + 27405 \, d^{30} f^{4} g^{26} e^{8} + 142506 \, d^{29} f^{5} g^{25} e^{9} + 593775 \, d^{28} f^{6} g^{24} e^{10} + 2035800 \, d^{27} f^{7} g^{23} e^{11} + 5852925 \, d^{26} f^{8} g^{22} e^{12} + 14307150 \, d^{25} f^{9} g^{21} e^{13} + 30045015 \, d^{24} f^{10} g^{20} e^{14} + 54627300 \, d^{23} f^{11} g^{19} e^{15} + 86493225 \, d^{22} f^{12} g^{18} e^{16} + 119759850 \, d^{21} f^{13} g^{17} e^{17} + 145422675 \, d^{20} f^{14} g^{16} e^{18} + 155117520 \, d^{19} f^{15} g^{15} e^{19} + 145422675 \, d^{18} f^{16} g^{14} e^{20} + 119759850 \, d^{17} f^{17} g^{13} e^{21} + 86493225 \, d^{16} f^{18} g^{12} e^{22} + 54627300 \, d^{15} f^{19} g^{11} e^{23} + 30045015 \, d^{14} f^{20} g^{10} e^{24} + 14307150 \, d^{13} f^{21} g^{9} e^{25} + 5852925 \, d^{12} f^{22} g^{8} e^{26} + 2035800 \, d^{11} f^{23} g^{7} e^{27} + 593775 \, d^{10} f^{24} g^{6} e^{28} + 142506 \, d^{9} f^{25} g^{5} e^{29} + 27405 \, d^{8} f^{26} g^{4} e^{30} + 4060 \, d^{7} f^{27} g^{3} e^{31} + 435 \, d^{6} f^{28} g^{2} e^{32} + 30 \, d^{5} f^{29} g e^{33} + d^{4} f^{30} e^{34}} + \frac{90 \, {\left(d^{29} g^{27} e^{10} + 25 \, d^{28} f g^{26} e^{11} + 300 \, d^{27} f^{2} g^{25} e^{12} + 2300 \, d^{26} f^{3} g^{24} e^{13} + 12650 \, d^{25} f^{4} g^{23} e^{14} + 53130 \, d^{24} f^{5} g^{22} e^{15} + 177100 \, d^{23} f^{6} g^{21} e^{16} + 480700 \, d^{22} f^{7} g^{20} e^{17} + 1081575 \, d^{21} f^{8} g^{19} e^{18} + 2042975 \, d^{20} f^{9} g^{18} e^{19} + 3268760 \, d^{19} f^{10} g^{17} e^{20} + 4457400 \, d^{18} f^{11} g^{16} e^{21} + 5200300 \, d^{17} f^{12} g^{15} e^{22} + 5200300 \, d^{16} f^{13} g^{14} e^{23} + 4457400 \, d^{15} f^{14} g^{13} e^{24} + 3268760 \, d^{14} f^{15} g^{12} e^{25} + 2042975 \, d^{13} f^{16} g^{11} e^{26} + 1081575 \, d^{12} f^{17} g^{10} e^{27} + 480700 \, d^{11} f^{18} g^{9} e^{28} + 177100 \, d^{10} f^{19} g^{8} e^{29} + 53130 \, d^{9} f^{20} g^{7} e^{30} + 12650 \, d^{8} f^{21} g^{6} e^{31} + 2300 \, d^{7} f^{22} g^{5} e^{32} + 300 \, d^{6} f^{23} g^{4} e^{33} + 25 \, d^{5} f^{24} g^{3} e^{34} + d^{4} f^{25} g^{2} e^{35}\right)}}{d^{34} g^{30} e^{4} + 30 \, d^{33} f g^{29} e^{5} + 435 \, d^{32} f^{2} g^{28} e^{6} + 4060 \, d^{31} f^{3} g^{27} e^{7} + 27405 \, d^{30} f^{4} g^{26} e^{8} + 142506 \, d^{29} f^{5} g^{25} e^{9} + 593775 \, d^{28} f^{6} g^{24} e^{10} + 2035800 \, d^{27} f^{7} g^{23} e^{11} + 5852925 \, d^{26} f^{8} g^{22} e^{12} + 14307150 \, d^{25} f^{9} g^{21} e^{13} + 30045015 \, d^{24} f^{10} g^{20} e^{14} + 54627300 \, d^{23} f^{11} g^{19} e^{15} + 86493225 \, d^{22} f^{12} g^{18} e^{16} + 119759850 \, d^{21} f^{13} g^{17} e^{17} + 145422675 \, d^{20} f^{14} g^{16} e^{18} + 155117520 \, d^{19} f^{15} g^{15} e^{19} + 145422675 \, d^{18} f^{16} g^{14} e^{20} + 119759850 \, d^{17} f^{17} g^{13} e^{21} + 86493225 \, d^{16} f^{18} g^{12} e^{22} + 54627300 \, d^{15} f^{19} g^{11} e^{23} + 30045015 \, d^{14} f^{20} g^{10} e^{24} + 14307150 \, d^{13} f^{21} g^{9} e^{25} + 5852925 \, d^{12} f^{22} g^{8} e^{26} + 2035800 \, d^{11} f^{23} g^{7} e^{27} + 593775 \, d^{10} f^{24} g^{6} e^{28} + 142506 \, d^{9} f^{25} g^{5} e^{29} + 27405 \, d^{8} f^{26} g^{4} e^{30} + 4060 \, d^{7} f^{27} g^{3} e^{31} + 435 \, d^{6} f^{28} g^{2} e^{32} + 30 \, d^{5} f^{29} g e^{33} + d^{4} f^{30} e^{34}}\right)} x - \frac{5 \, {\left(49 \, d^{30} g^{27} e^{9} + 1239 \, d^{29} f g^{26} e^{10} + 15051 \, d^{28} f^{2} g^{25} e^{11} + 116925 \, d^{27} f^{3} g^{24} e^{12} + 652350 \, d^{26} f^{4} g^{23} e^{13} + 2782770 \, d^{25} f^{5} g^{22} e^{14} + 9434370 \, d^{24} f^{6} g^{21} e^{15} + 26086830 \, d^{23} f^{7} g^{20} e^{16} + 59904075 \, d^{22} f^{8} g^{19} e^{17} + 115728525 \, d^{21} f^{9} g^{18} e^{18} + 189852465 \, d^{20} f^{10} g^{17} e^{19} + 266218215 \, d^{19} f^{11} g^{16} e^{20} + 320487060 \, d^{18} f^{12} g^{15} e^{21} + 332076300 \, d^{17} f^{13} g^{14} e^{22} + 296417100 \, d^{16} f^{14} g^{13} e^{23} + 227773140 \, d^{15} f^{15} g^{12} e^{24} + 150325815 \, d^{14} f^{16} g^{11} e^{25} + 84867585 \, d^{13} f^{17} g^{10} e^{26} + 40739325 \, d^{12} f^{18} g^{9} e^{27} + 16489275 \, d^{11} f^{19} g^{8} e^{28} + 5563470 \, d^{10} f^{20} g^{7} e^{29} + 1540770 \, d^{9} f^{21} g^{6} e^{30} + 342930 \, d^{8} f^{22} g^{5} e^{31} + 59550 \, d^{7} f^{23} g^{4} e^{32} + 7725 \, d^{6} f^{24} g^{3} e^{33} + 699 \, d^{5} f^{25} g^{2} e^{34} + 39 \, d^{4} f^{26} g e^{35} + d^{3} f^{27} e^{36}\right)}}{d^{34} g^{30} e^{4} + 30 \, d^{33} f g^{29} e^{5} + 435 \, d^{32} f^{2} g^{28} e^{6} + 4060 \, d^{31} f^{3} g^{27} e^{7} + 27405 \, d^{30} f^{4} g^{26} e^{8} + 142506 \, d^{29} f^{5} g^{25} e^{9} + 593775 \, d^{28} f^{6} g^{24} e^{10} + 2035800 \, d^{27} f^{7} g^{23} e^{11} + 5852925 \, d^{26} f^{8} g^{22} e^{12} + 14307150 \, d^{25} f^{9} g^{21} e^{13} + 30045015 \, d^{24} f^{10} g^{20} e^{14} + 54627300 \, d^{23} f^{11} g^{19} e^{15} + 86493225 \, d^{22} f^{12} g^{18} e^{16} + 119759850 \, d^{21} f^{13} g^{17} e^{17} + 145422675 \, d^{20} f^{14} g^{16} e^{18} + 155117520 \, d^{19} f^{15} g^{15} e^{19} + 145422675 \, d^{18} f^{16} g^{14} e^{20} + 119759850 \, d^{17} f^{17} g^{13} e^{21} + 86493225 \, d^{16} f^{18} g^{12} e^{22} + 54627300 \, d^{15} f^{19} g^{11} e^{23} + 30045015 \, d^{14} f^{20} g^{10} e^{24} + 14307150 \, d^{13} f^{21} g^{9} e^{25} + 5852925 \, d^{12} f^{22} g^{8} e^{26} + 2035800 \, d^{11} f^{23} g^{7} e^{27} + 593775 \, d^{10} f^{24} g^{6} e^{28} + 142506 \, d^{9} f^{25} g^{5} e^{29} + 27405 \, d^{8} f^{26} g^{4} e^{30} + 4060 \, d^{7} f^{27} g^{3} e^{31} + 435 \, d^{6} f^{28} g^{2} e^{32} + 30 \, d^{5} f^{29} g e^{33} + d^{4} f^{30} e^{34}}\right)} x - \frac{5 \, {\left(41 \, d^{31} g^{27} e^{8} + 1029 \, d^{30} f g^{26} e^{9} + 12399 \, d^{29} f^{2} g^{25} e^{10} + 95475 \, d^{28} f^{3} g^{24} e^{11} + 527550 \, d^{27} f^{4} g^{23} e^{12} + 2226630 \, d^{26} f^{5} g^{22} e^{13} + 7460970 \, d^{25} f^{6} g^{21} e^{14} + 20363970 \, d^{24} f^{7} g^{20} e^{15} + 46090275 \, d^{23} f^{8} g^{19} e^{16} + 87607575 \, d^{22} f^{9} g^{18} e^{17} + 141109485 \, d^{21} f^{10} g^{17} e^{18} + 193785465 \, d^{20} f^{11} g^{16} e^{19} + 227773140 \, d^{19} f^{12} g^{15} e^{20} + 229556100 \, d^{18} f^{13} g^{14} e^{21} + 198354300 \, d^{17} f^{14} g^{13} e^{22} + 146648460 \, d^{16} f^{15} g^{12} e^{23} + 92379615 \, d^{15} f^{16} g^{11} e^{24} + 49247715 \, d^{14} f^{17} g^{10} e^{25} + 21992025 \, d^{13} f^{18} g^{9} e^{26} + 8102325 \, d^{12} f^{19} g^{8} e^{27} + 2406030 \, d^{11} f^{20} g^{7} e^{28} + 554070 \, d^{10} f^{21} g^{6} e^{29} + 91770 \, d^{9} f^{22} g^{5} e^{30} + 8850 \, d^{8} f^{23} g^{4} e^{31} - 75 \, d^{7} f^{24} g^{3} e^{32} - 159 \, d^{6} f^{25} g^{2} e^{33} - 21 \, d^{5} f^{26} g e^{34} - d^{4} f^{27} e^{35}\right)}}{d^{34} g^{30} e^{4} + 30 \, d^{33} f g^{29} e^{5} + 435 \, d^{32} f^{2} g^{28} e^{6} + 4060 \, d^{31} f^{3} g^{27} e^{7} + 27405 \, d^{30} f^{4} g^{26} e^{8} + 142506 \, d^{29} f^{5} g^{25} e^{9} + 593775 \, d^{28} f^{6} g^{24} e^{10} + 2035800 \, d^{27} f^{7} g^{23} e^{11} + 5852925 \, d^{26} f^{8} g^{22} e^{12} + 14307150 \, d^{25} f^{9} g^{21} e^{13} + 30045015 \, d^{24} f^{10} g^{20} e^{14} + 54627300 \, d^{23} f^{11} g^{19} e^{15} + 86493225 \, d^{22} f^{12} g^{18} e^{16} + 119759850 \, d^{21} f^{13} g^{17} e^{17} + 145422675 \, d^{20} f^{14} g^{16} e^{18} + 155117520 \, d^{19} f^{15} g^{15} e^{19} + 145422675 \, d^{18} f^{16} g^{14} e^{20} + 119759850 \, d^{17} f^{17} g^{13} e^{21} + 86493225 \, d^{16} f^{18} g^{12} e^{22} + 54627300 \, d^{15} f^{19} g^{11} e^{23} + 30045015 \, d^{14} f^{20} g^{10} e^{24} + 14307150 \, d^{13} f^{21} g^{9} e^{25} + 5852925 \, d^{12} f^{22} g^{8} e^{26} + 2035800 \, d^{11} f^{23} g^{7} e^{27} + 593775 \, d^{10} f^{24} g^{6} e^{28} + 142506 \, d^{9} f^{25} g^{5} e^{29} + 27405 \, d^{8} f^{26} g^{4} e^{30} + 4060 \, d^{7} f^{27} g^{3} e^{31} + 435 \, d^{6} f^{28} g^{2} e^{32} + 30 \, d^{5} f^{29} g e^{33} + d^{4} f^{30} e^{34}}\right)} x + \frac{15 \, {\left(10 \, d^{32} g^{27} e^{7} + 255 \, d^{31} f g^{26} e^{8} + 3126 \, d^{30} f^{2} g^{25} e^{9} + 24525 \, d^{29} f^{3} g^{24} e^{10} + 138300 \, d^{28} f^{4} g^{23} e^{11} + 596850 \, d^{27} f^{5} g^{22} e^{12} + 2049300 \, d^{26} f^{6} g^{21} e^{13} + 5745630 \, d^{25} f^{7} g^{20} e^{14} + 13396350 \, d^{24} f^{8} g^{19} e^{15} + 26318325 \, d^{23} f^{9} g^{18} e^{16} + 43984050 \, d^{22} f^{10} g^{17} e^{17} + 62960775 \, d^{21} f^{11} g^{16} e^{18} + 77558760 \, d^{20} f^{12} g^{15} e^{19} + 82461900 \, d^{19} f^{13} g^{14} e^{20} + 75775800 \, d^{18} f^{14} g^{13} e^{21} + 60174900 \, d^{17} f^{15} g^{12} e^{22} + 41230950 \, d^{16} f^{16} g^{11} e^{23} + 24299385 \, d^{15} f^{17} g^{10} e^{24} + 12257850 \, d^{14} f^{18} g^{9} e^{25} + 5256075 \, d^{13} f^{19} g^{8} e^{26} + 1897500 \, d^{12} f^{20} g^{7} e^{27} + 569250 \, d^{11} f^{21} g^{6} e^{28} + 139380 \, d^{10} f^{22} g^{5} e^{29} + 27150 \, d^{9} f^{23} g^{4} e^{30} + 4050 \, d^{8} f^{24} g^{3} e^{31} + 435 \, d^{7} f^{25} g^{2} e^{32} + 30 \, d^{6} f^{26} g e^{33} + d^{5} f^{27} e^{34}\right)}}{d^{34} g^{30} e^{4} + 30 \, d^{33} f g^{29} e^{5} + 435 \, d^{32} f^{2} g^{28} e^{6} + 4060 \, d^{31} f^{3} g^{27} e^{7} + 27405 \, d^{30} f^{4} g^{26} e^{8} + 142506 \, d^{29} f^{5} g^{25} e^{9} + 593775 \, d^{28} f^{6} g^{24} e^{10} + 2035800 \, d^{27} f^{7} g^{23} e^{11} + 5852925 \, d^{26} f^{8} g^{22} e^{12} + 14307150 \, d^{25} f^{9} g^{21} e^{13} + 30045015 \, d^{24} f^{10} g^{20} e^{14} + 54627300 \, d^{23} f^{11} g^{19} e^{15} + 86493225 \, d^{22} f^{12} g^{18} e^{16} + 119759850 \, d^{21} f^{13} g^{17} e^{17} + 145422675 \, d^{20} f^{14} g^{16} e^{18} + 155117520 \, d^{19} f^{15} g^{15} e^{19} + 145422675 \, d^{18} f^{16} g^{14} e^{20} + 119759850 \, d^{17} f^{17} g^{13} e^{21} + 86493225 \, d^{16} f^{18} g^{12} e^{22} + 54627300 \, d^{15} f^{19} g^{11} e^{23} + 30045015 \, d^{14} f^{20} g^{10} e^{24} + 14307150 \, d^{13} f^{21} g^{9} e^{25} + 5852925 \, d^{12} f^{22} g^{8} e^{26} + 2035800 \, d^{11} f^{23} g^{7} e^{27} + 593775 \, d^{10} f^{24} g^{6} e^{28} + 142506 \, d^{9} f^{25} g^{5} e^{29} + 27405 \, d^{8} f^{26} g^{4} e^{30} + 4060 \, d^{7} f^{27} g^{3} e^{31} + 435 \, d^{6} f^{28} g^{2} e^{32} + 30 \, d^{5} f^{29} g e^{33} + d^{4} f^{30} e^{34}}\right)} x + \frac{127 \, d^{33} g^{27} e^{6} + 3219 \, d^{32} f g^{26} e^{7} + 39207 \, d^{31} f^{2} g^{25} e^{8} + 305475 \, d^{30} f^{3} g^{24} e^{9} + 1709850 \, d^{29} f^{4} g^{23} e^{10} + 7320210 \, d^{28} f^{5} g^{22} e^{11} + 24917970 \, d^{27} f^{6} g^{21} e^{12} + 69213210 \, d^{26} f^{7} g^{20} e^{13} + 159750525 \, d^{25} f^{8} g^{19} e^{14} + 310412025 \, d^{24} f^{9} g^{18} e^{15} + 512594445 \, d^{23} f^{10} g^{17} e^{16} + 724216065 \, d^{22} f^{11} g^{16} e^{17} + 879445020 \, d^{21} f^{12} g^{15} e^{18} + 920453100 \, d^{20} f^{13} g^{14} e^{19} + 831305100 \, d^{19} f^{14} g^{13} e^{20} + 647660220 \, d^{18} f^{15} g^{12} e^{21} + 434485065 \, d^{17} f^{16} g^{11} e^{22} + 250132245 \, d^{16} f^{17} g^{10} e^{23} + 122939025 \, d^{15} f^{18} g^{9} e^{24} + 51213525 \, d^{14} f^{19} g^{8} e^{25} + 17904810 \, d^{13} f^{20} g^{7} e^{26} + 5183970 \, d^{12} f^{21} g^{6} e^{27} + 1220610 \, d^{11} f^{22} g^{5} e^{28} + 227850 \, d^{10} f^{23} g^{4} e^{29} + 32475 \, d^{9} f^{24} g^{3} e^{30} + 3327 \, d^{8} f^{25} g^{2} e^{31} + 219 \, d^{7} f^{26} g e^{32} + 7 \, d^{6} f^{27} e^{33}}{d^{34} g^{30} e^{4} + 30 \, d^{33} f g^{29} e^{5} + 435 \, d^{32} f^{2} g^{28} e^{6} + 4060 \, d^{31} f^{3} g^{27} e^{7} + 27405 \, d^{30} f^{4} g^{26} e^{8} + 142506 \, d^{29} f^{5} g^{25} e^{9} + 593775 \, d^{28} f^{6} g^{24} e^{10} + 2035800 \, d^{27} f^{7} g^{23} e^{11} + 5852925 \, d^{26} f^{8} g^{22} e^{12} + 14307150 \, d^{25} f^{9} g^{21} e^{13} + 30045015 \, d^{24} f^{10} g^{20} e^{14} + 54627300 \, d^{23} f^{11} g^{19} e^{15} + 86493225 \, d^{22} f^{12} g^{18} e^{16} + 119759850 \, d^{21} f^{13} g^{17} e^{17} + 145422675 \, d^{20} f^{14} g^{16} e^{18} + 155117520 \, d^{19} f^{15} g^{15} e^{19} + 145422675 \, d^{18} f^{16} g^{14} e^{20} + 119759850 \, d^{17} f^{17} g^{13} e^{21} + 86493225 \, d^{16} f^{18} g^{12} e^{22} + 54627300 \, d^{15} f^{19} g^{11} e^{23} + 30045015 \, d^{14} f^{20} g^{10} e^{24} + 14307150 \, d^{13} f^{21} g^{9} e^{25} + 5852925 \, d^{12} f^{22} g^{8} e^{26} + 2035800 \, d^{11} f^{23} g^{7} e^{27} + 593775 \, d^{10} f^{24} g^{6} e^{28} + 142506 \, d^{9} f^{25} g^{5} e^{29} + 27405 \, d^{8} f^{26} g^{4} e^{30} + 4060 \, d^{7} f^{27} g^{3} e^{31} + 435 \, d^{6} f^{28} g^{2} e^{32} + 30 \, d^{5} f^{29} g e^{33} + d^{4} f^{30} e^{34}}\right)}}{15 \, {\left(x^{2} e^{2} - d^{2}\right)}^{3}} + \frac{\frac{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{10} g^{13} e^{3}}{x^{2}} + \frac{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{9} f g^{12} e^{6}}{x} + \frac{6 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{9} f g^{12} e^{4}}{x^{2}} + \frac{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{9} f g^{12} e^{2}}{x^{3}} + d^{8} f^{2} g^{11} e^{9} + \frac{12 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{8} f^{2} g^{11} e^{7}}{x} - \frac{51 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{8} f^{2} g^{11} e^{5}}{x^{2}} + 3 \, d^{7} f^{3} g^{10} e^{10} - \frac{79 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{7} f^{3} g^{10} e^{8}}{x} + \frac{91 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{7} f^{3} g^{10} e^{6}}{x^{2}} - \frac{25 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{7} f^{3} g^{10} e^{4}}{x^{3}} - 26 \, d^{6} f^{4} g^{9} e^{11} + \frac{127 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{6} f^{4} g^{9} e^{9}}{x} - \frac{48 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{6} f^{4} g^{9} e^{7}}{x^{2}} + \frac{49 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{6} f^{4} g^{9} e^{5}}{x^{3}} + 44 \, d^{5} f^{5} g^{8} e^{12} - \frac{28 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{5} f^{5} g^{8} e^{10}}{x} - \frac{30 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{5} f^{5} g^{8} e^{8}}{x^{2}} - \frac{16 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{5} f^{5} g^{8} e^{6}}{x^{3}} - 11 \, d^{4} f^{6} g^{7} e^{13} - \frac{110 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{4} f^{6} g^{7} e^{11}}{x} + \frac{61 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{4} f^{6} g^{7} e^{9}}{x^{2}} - \frac{38 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{4} f^{6} g^{7} e^{7}}{x^{3}} - 37 \, d^{3} f^{7} g^{6} e^{14} + \frac{105 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{3} f^{7} g^{6} e^{12}}{x} - \frac{57 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{3} f^{7} g^{6} e^{10}}{x^{2}} + \frac{39 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{3} f^{7} g^{6} e^{8}}{x^{3}} + 36 \, d^{2} f^{8} g^{5} e^{15} - \frac{29 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d^{2} f^{8} g^{5} e^{13}}{x} + \frac{36 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d^{2} f^{8} g^{5} e^{11}}{x^{2}} - \frac{11 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{3} d^{2} f^{8} g^{5} e^{9}}{x^{3}} - 10 \, d f^{9} g^{4} e^{16} - \frac{10 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} d f^{9} g^{4} e^{12}}{x^{2}}}{{\left(d^{12} f^{2} g^{12} e^{5} - 6 \, d^{10} f^{4} g^{10} e^{7} + 15 \, d^{8} f^{6} g^{8} e^{9} - 20 \, d^{6} f^{8} g^{6} e^{11} + 15 \, d^{4} f^{10} g^{4} e^{13} - 6 \, d^{2} f^{12} g^{2} e^{15} + f^{14} e^{17}\right)} {\left(\frac{2 \, {\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)} d g e^{\left(-1\right)}}{x} + f e^{2} + \frac{{\left(d e + \sqrt{-x^{2} e^{2} + d^{2}} e\right)}^{2} f e^{\left(-2\right)}}{x^{2}}\right)}^{2}}"," ",0,"-(13*d^9*g^12*e^8 - 69*d^8*f*g^11*e^9 + 123*d^7*f^2*g^10*e^10 - 25*d^6*f^3*g^9*e^11 - 195*d^5*f^4*g^8*e^12 + 237*d^4*f^5*g^7*e^13 - 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14307150*d^25*f^9*g^21*e^13 + 30045015*d^24*f^10*g^20*e^14 + 54627300*d^23*f^11*g^19*e^15 + 86493225*d^22*f^12*g^18*e^16 + 119759850*d^21*f^13*g^17*e^17 + 145422675*d^20*f^14*g^16*e^18 + 155117520*d^19*f^15*g^15*e^19 + 145422675*d^18*f^16*g^14*e^20 + 119759850*d^17*f^17*g^13*e^21 + 86493225*d^16*f^18*g^12*e^22 + 54627300*d^15*f^19*g^11*e^23 + 30045015*d^14*f^20*g^10*e^24 + 14307150*d^13*f^21*g^9*e^25 + 5852925*d^12*f^22*g^8*e^26 + 2035800*d^11*f^23*g^7*e^27 + 593775*d^10*f^24*g^6*e^28 + 142506*d^9*f^25*g^5*e^29 + 27405*d^8*f^26*g^4*e^30 + 4060*d^7*f^27*g^3*e^31 + 435*d^6*f^28*g^2*e^32 + 30*d^5*f^29*g*e^33 + d^4*f^30*e^34))*x + (127*d^33*g^27*e^6 + 3219*d^32*f*g^26*e^7 + 39207*d^31*f^2*g^25*e^8 + 305475*d^30*f^3*g^24*e^9 + 1709850*d^29*f^4*g^23*e^10 + 7320210*d^28*f^5*g^22*e^11 + 24917970*d^27*f^6*g^21*e^12 + 69213210*d^26*f^7*g^20*e^13 + 159750525*d^25*f^8*g^19*e^14 + 310412025*d^24*f^9*g^18*e^15 + 512594445*d^23*f^10*g^17*e^16 + 724216065*d^22*f^11*g^16*e^17 + 879445020*d^21*f^12*g^15*e^18 + 920453100*d^20*f^13*g^14*e^19 + 831305100*d^19*f^14*g^13*e^20 + 647660220*d^18*f^15*g^12*e^21 + 434485065*d^17*f^16*g^11*e^22 + 250132245*d^16*f^17*g^10*e^23 + 122939025*d^15*f^18*g^9*e^24 + 51213525*d^14*f^19*g^8*e^25 + 17904810*d^13*f^20*g^7*e^26 + 5183970*d^12*f^21*g^6*e^27 + 1220610*d^11*f^22*g^5*e^28 + 227850*d^10*f^23*g^4*e^29 + 32475*d^9*f^24*g^3*e^30 + 3327*d^8*f^25*g^2*e^31 + 219*d^7*f^26*g*e^32 + 7*d^6*f^27*e^33)/(d^34*g^30*e^4 + 30*d^33*f*g^29*e^5 + 435*d^32*f^2*g^28*e^6 + 4060*d^31*f^3*g^27*e^7 + 27405*d^30*f^4*g^26*e^8 + 142506*d^29*f^5*g^25*e^9 + 593775*d^28*f^6*g^24*e^10 + 2035800*d^27*f^7*g^23*e^11 + 5852925*d^26*f^8*g^22*e^12 + 14307150*d^25*f^9*g^21*e^13 + 30045015*d^24*f^10*g^20*e^14 + 54627300*d^23*f^11*g^19*e^15 + 86493225*d^22*f^12*g^18*e^16 + 119759850*d^21*f^13*g^17*e^17 + 145422675*d^20*f^14*g^16*e^18 + 155117520*d^19*f^15*g^15*e^19 + 145422675*d^18*f^16*g^14*e^20 + 119759850*d^17*f^17*g^13*e^21 + 86493225*d^16*f^18*g^12*e^22 + 54627300*d^15*f^19*g^11*e^23 + 30045015*d^14*f^20*g^10*e^24 + 14307150*d^13*f^21*g^9*e^25 + 5852925*d^12*f^22*g^8*e^26 + 2035800*d^11*f^23*g^7*e^27 + 593775*d^10*f^24*g^6*e^28 + 142506*d^9*f^25*g^5*e^29 + 27405*d^8*f^26*g^4*e^30 + 4060*d^7*f^27*g^3*e^31 + 435*d^6*f^28*g^2*e^32 + 30*d^5*f^29*g*e^33 + d^4*f^30*e^34))/(x^2*e^2 - d^2)^3 + (2*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^10*g^13*e^3/x^2 + 2*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^9*f*g^12*e^6/x + 6*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^9*f*g^12*e^4/x^2 + 2*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^9*f*g^12*e^2/x^3 + d^8*f^2*g^11*e^9 + 12*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^8*f^2*g^11*e^7/x - 51*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^8*f^2*g^11*e^5/x^2 + 3*d^7*f^3*g^10*e^10 - 79*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^7*f^3*g^10*e^8/x + 91*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^7*f^3*g^10*e^6/x^2 - 25*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^7*f^3*g^10*e^4/x^3 - 26*d^6*f^4*g^9*e^11 + 127*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^6*f^4*g^9*e^9/x - 48*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^6*f^4*g^9*e^7/x^2 + 49*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^6*f^4*g^9*e^5/x^3 + 44*d^5*f^5*g^8*e^12 - 28*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^5*f^5*g^8*e^10/x - 30*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^5*f^5*g^8*e^8/x^2 - 16*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^5*f^5*g^8*e^6/x^3 - 11*d^4*f^6*g^7*e^13 - 110*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^4*f^6*g^7*e^11/x + 61*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^4*f^6*g^7*e^9/x^2 - 38*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^4*f^6*g^7*e^7/x^3 - 37*d^3*f^7*g^6*e^14 + 105*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^3*f^7*g^6*e^12/x - 57*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^3*f^7*g^6*e^10/x^2 + 39*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^3*f^7*g^6*e^8/x^3 + 36*d^2*f^8*g^5*e^15 - 29*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d^2*f^8*g^5*e^13/x + 36*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d^2*f^8*g^5*e^11/x^2 - 11*(d*e + sqrt(-x^2*e^2 + d^2)*e)^3*d^2*f^8*g^5*e^9/x^3 - 10*d*f^9*g^4*e^16 - 10*(d*e + sqrt(-x^2*e^2 + d^2)*e)^2*d*f^9*g^4*e^12/x^2)/((d^12*f^2*g^12*e^5 - 6*d^10*f^4*g^10*e^7 + 15*d^8*f^6*g^8*e^9 - 20*d^6*f^8*g^6*e^11 + 15*d^4*f^10*g^4*e^13 - 6*d^2*f^12*g^2*e^15 + f^14*e^17)*(2*(d*e + sqrt(-x^2*e^2 + d^2)*e)*d*g*e^(-1)/x + f*e^2 + (d*e + sqrt(-x^2*e^2 + d^2)*e)^2*f*e^(-2)/x^2)^2)","B",0
588,1,116,0,0.187317," ","integrate((c*x^2+a)/(e*x+d)^(3/2)/(g*x+f),x, algorithm=""giac"")","\frac{2 \, \sqrt{x e + d} c e^{\left(-2\right)}}{g} + \frac{2 \, {\left(c f^{2} + a g^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} g}{\sqrt{-d g^{2} + f g e}}\right)}{{\left(d g^{2} - f g e\right)} \sqrt{-d g^{2} + f g e}} + \frac{2 \, {\left(c d^{2} + a e^{2}\right)}}{{\left(d g e^{2} - f e^{3}\right)} \sqrt{x e + d}}"," ",0,"2*sqrt(x*e + d)*c*e^(-2)/g + 2*(c*f^2 + a*g^2)*arctan(sqrt(x*e + d)*g/sqrt(-d*g^2 + f*g*e))/((d*g^2 - f*g*e)*sqrt(-d*g^2 + f*g*e)) + 2*(c*d^2 + a*e^2)/((d*g*e^2 - f*e^3)*sqrt(x*e + d))","A",0
589,1,378,0,0.181149," ","integrate((e*x+d)^3*(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3465 \, \sqrt{g x + f} a d^{3} + \frac{3465 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} a d^{2} e}{g} + \frac{231 \, {\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 d^{3}}{g^{2}} + \frac{693 \, {\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)} a d e^{2}}{g^{2}} + \frac{297 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} c d^{2} e}{g^{3}} + \frac{99 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} a e^{3}}{g^{3}} + \frac{33 \, {\left(35 \, {\left(g x + f\right)}^{\frac{9}{2}} - 180 \, {\left(g x + f\right)}^{\frac{7}{2}} f + 378 \, {\left(g x + f\right)}^{\frac{5}{2}} f^{2} - 420 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{3} + 315 \, \sqrt{g x + f} f^{4}\right)} c d e^{2}}{g^{4}} + \frac{5 \, {\left(63 \, {\left(g x + f\right)}^{\frac{11}{2}} - 385 \, {\left(g x + f\right)}^{\frac{9}{2}} f + 990 \, {\left(g x + f\right)}^{\frac{7}{2}} f^{2} - 1386 \, {\left(g x + f\right)}^{\frac{5}{2}} f^{3} + 1155 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{4} - 693 \, \sqrt{g x + f} f^{5}\right)} c e^{3}}{g^{5}}\right)}}{3465 \, g}"," ",0,"2/3465*(3465*sqrt(g*x + f)*a*d^3 + 3465*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*a*d^2*e/g + 231*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*c*d^3/g^2 + 693*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*a*d*e^2/g^2 + 297*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*c*d^2*e/g^3 + 99*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*a*e^3/g^3 + 33*(35*(g*x + f)^(9/2) - 180*(g*x + f)^(7/2)*f + 378*(g*x + f)^(5/2)*f^2 - 420*(g*x + f)^(3/2)*f^3 + 315*sqrt(g*x + f)*f^4)*c*d*e^2/g^4 + 5*(63*(g*x + f)^(11/2) - 385*(g*x + f)^(9/2)*f + 990*(g*x + f)^(7/2)*f^2 - 1386*(g*x + f)^(5/2)*f^3 + 1155*(g*x + f)^(3/2)*f^4 - 693*sqrt(g*x + f)*f^5)*c*e^3/g^5)/g","A",0
590,1,243,0,0.172246," ","integrate((e*x+d)^2*(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(315 \, \sqrt{g x + f} a d^{2} + \frac{210 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} a d e}{g} + \frac{21 \, {\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 d^{2}}{g^{2}} + \frac{21 \, {\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)} a e^{2}}{g^{2}} + \frac{18 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} c d e}{g^{3}} + \frac{{\left(35 \, {\left(g x + f\right)}^{\frac{9}{2}} - 180 \, {\left(g x + f\right)}^{\frac{7}{2}} f + 378 \, {\left(g x + f\right)}^{\frac{5}{2}} f^{2} - 420 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{3} + 315 \, \sqrt{g x + f} f^{4}\right)} c e^{2}}{g^{4}}\right)}}{315 \, g}"," ",0,"2/315*(315*sqrt(g*x + f)*a*d^2 + 210*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*a*d*e/g + 21*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*c*d^2/g^2 + 21*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*a*e^2/g^2 + 18*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*c*d*e/g^3 + (35*(g*x + f)^(9/2) - 180*(g*x + f)^(7/2)*f + 378*(g*x + f)^(5/2)*f^2 - 420*(g*x + f)^(3/2)*f^3 + 315*sqrt(g*x + f)*f^4)*c*e^2/g^4)/g","A",0
591,1,134,0,0.179404," ","integrate((e*x+d)*(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(105 \, \sqrt{g x + f} a d + \frac{35 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} a e}{g} + \frac{7 \, {\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 d}{g^{2}} + \frac{3 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} c e}{g^{3}}\right)}}{105 \, g}"," ",0,"2/105*(105*sqrt(g*x + f)*a*d + 35*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*a*e/g + 7*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*c*d/g^2 + 3*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*c*e/g^3)/g","A",0
592,1,53,0,0.154094," ","integrate((c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\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
593,1,107,0,0.199630," ","integrate((c*x^2+a)/(e*x+d)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(c d^{2} + a e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right) e^{\left(-2\right)}}{\sqrt{d g e - f e^{2}}} - \frac{2 \, {\left(3 \, \sqrt{g x + f} c d g^{5} e - {\left(g x + f\right)}^{\frac{3}{2}} c g^{4} e^{2} + 3 \, \sqrt{g x + f} c f g^{4} e^{2}\right)} e^{\left(-3\right)}}{3 \, g^{6}}"," ",0,"2*(c*d^2 + a*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))*e^(-2)/sqrt(d*g*e - f*e^2) - 2/3*(3*sqrt(g*x + f)*c*d*g^5*e - (g*x + f)^(3/2)*c*g^4*e^2 + 3*sqrt(g*x + f)*c*f*g^4*e^2)*e^(-3)/g^6","A",0
594,1,148,0,0.173992," ","integrate((c*x^2+a)/(e*x+d)^2/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{g x + f} c e^{\left(-2\right)}}{g} - \frac{{\left(3 \, c d^{2} g - 4 \, c d f e - a g e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{{\left(d g e^{2} - f e^{3}\right)} \sqrt{d g e - f e^{2}}} + \frac{\sqrt{g x + f} c d^{2} g + \sqrt{g x + f} a g e^{2}}{{\left(d g e^{2} - f e^{3}\right)} {\left(d g + {\left(g x + f\right)} e - f e\right)}}"," ",0,"2*sqrt(g*x + f)*c*e^(-2)/g - (3*c*d^2*g - 4*c*d*f*e - a*g*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/((d*g*e^2 - f*e^3)*sqrt(d*g*e - f*e^2)) + (sqrt(g*x + f)*c*d^2*g + sqrt(g*x + f)*a*g*e^2)/((d*g*e^2 - f*e^3)*(d*g + (g*x + f)*e - f*e))","A",0
595,1,278,0,0.208838," ","integrate((c*x^2+a)/(e*x+d)^3/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{{\left(3 \, c d^{2} g^{2} - 8 \, c d f g e + 8 \, c f^{2} e^{2} + 3 \, a g^{2} e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{4 \, {\left(d^{2} g^{2} e^{2} - 2 \, d f g e^{3} + f^{2} e^{4}\right)} \sqrt{d g e - f e^{2}}} - \frac{3 \, \sqrt{g x + f} c d^{3} g^{3} + 5 \, {\left(g x + f\right)}^{\frac{3}{2}} c d^{2} g^{2} e - 11 \, \sqrt{g x + f} c d^{2} f g^{2} e - 8 \, {\left(g x + f\right)}^{\frac{3}{2}} c d f g e^{2} + 8 \, \sqrt{g x + f} c d f^{2} g e^{2} - 5 \, \sqrt{g x + f} a d g^{3} e^{2} - 3 \, {\left(g x + f\right)}^{\frac{3}{2}} a g^{2} e^{3} + 5 \, \sqrt{g x + f} a f g^{2} e^{3}}{4 \, {\left(d^{2} g^{2} e^{2} - 2 \, d f g e^{3} + f^{2} e^{4}\right)} {\left(d g + {\left(g x + f\right)} e - f e\right)}^{2}}"," ",0,"1/4*(3*c*d^2*g^2 - 8*c*d*f*g*e + 8*c*f^2*e^2 + 3*a*g^2*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/((d^2*g^2*e^2 - 2*d*f*g*e^3 + f^2*e^4)*sqrt(d*g*e - f*e^2)) - 1/4*(3*sqrt(g*x + f)*c*d^3*g^3 + 5*(g*x + f)^(3/2)*c*d^2*g^2*e - 11*sqrt(g*x + f)*c*d^2*f*g^2*e - 8*(g*x + f)^(3/2)*c*d*f*g*e^2 + 8*sqrt(g*x + f)*c*d*f^2*g*e^2 - 5*sqrt(g*x + f)*a*d*g^3*e^2 - 3*(g*x + f)^(3/2)*a*g^2*e^3 + 5*sqrt(g*x + f)*a*f*g^2*e^3)/((d^2*g^2*e^2 - 2*d*f*g*e^3 + f^2*e^4)*(d*g + (g*x + f)*e - f*e)^2)","A",0
596,1,453,0,0.209061," ","integrate((e*x+d)^3*(c*x^2+a)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{3} f^{2} g^{3} + a d^{3} g^{5} - 3 \, c d^{2} f^{3} g^{2} e - 3 \, a d^{2} f g^{4} e + 3 \, c d f^{4} g e^{2} + 3 \, a d f^{2} g^{3} e^{2} - c f^{5} e^{3} - a f^{3} g^{2} e^{3}\right)}}{\sqrt{g x + f} g^{6}} + \frac{2 \, {\left(105 \, {\left(g x + f\right)}^{\frac{3}{2}} c d^{3} g^{51} - 630 \, \sqrt{g x + f} c d^{3} f g^{51} + 189 \, {\left(g x + f\right)}^{\frac{5}{2}} c d^{2} g^{50} e - 945 \, {\left(g x + f\right)}^{\frac{3}{2}} c d^{2} f g^{50} e + 2835 \, \sqrt{g x + f} c d^{2} f^{2} g^{50} e + 945 \, \sqrt{g x + f} a d^{2} g^{52} e + 135 \, {\left(g x + f\right)}^{\frac{7}{2}} c d g^{49} e^{2} - 756 \, {\left(g x + f\right)}^{\frac{5}{2}} c d f g^{49} e^{2} + 1890 \, {\left(g x + f\right)}^{\frac{3}{2}} c d f^{2} g^{49} e^{2} - 3780 \, \sqrt{g x + f} c d f^{3} g^{49} e^{2} + 315 \, {\left(g x + f\right)}^{\frac{3}{2}} a d g^{51} e^{2} - 1890 \, \sqrt{g x + f} a d f g^{51} e^{2} + 35 \, {\left(g x + f\right)}^{\frac{9}{2}} c g^{48} e^{3} - 225 \, {\left(g x + f\right)}^{\frac{7}{2}} c f g^{48} e^{3} + 630 \, {\left(g x + f\right)}^{\frac{5}{2}} c f^{2} g^{48} e^{3} - 1050 \, {\left(g x + f\right)}^{\frac{3}{2}} c f^{3} g^{48} e^{3} + 1575 \, \sqrt{g x + f} c f^{4} g^{48} e^{3} + 63 \, {\left(g x + f\right)}^{\frac{5}{2}} a g^{50} e^{3} - 315 \, {\left(g x + f\right)}^{\frac{3}{2}} a f g^{50} e^{3} + 945 \, \sqrt{g x + f} a f^{2} g^{50} e^{3}\right)}}{315 \, g^{54}}"," ",0,"-2*(c*d^3*f^2*g^3 + a*d^3*g^5 - 3*c*d^2*f^3*g^2*e - 3*a*d^2*f*g^4*e + 3*c*d*f^4*g*e^2 + 3*a*d*f^2*g^3*e^2 - c*f^5*e^3 - a*f^3*g^2*e^3)/(sqrt(g*x + f)*g^6) + 2/315*(105*(g*x + f)^(3/2)*c*d^3*g^51 - 630*sqrt(g*x + f)*c*d^3*f*g^51 + 189*(g*x + f)^(5/2)*c*d^2*g^50*e - 945*(g*x + f)^(3/2)*c*d^2*f*g^50*e + 2835*sqrt(g*x + f)*c*d^2*f^2*g^50*e + 945*sqrt(g*x + f)*a*d^2*g^52*e + 135*(g*x + f)^(7/2)*c*d*g^49*e^2 - 756*(g*x + f)^(5/2)*c*d*f*g^49*e^2 + 1890*(g*x + f)^(3/2)*c*d*f^2*g^49*e^2 - 3780*sqrt(g*x + f)*c*d*f^3*g^49*e^2 + 315*(g*x + f)^(3/2)*a*d*g^51*e^2 - 1890*sqrt(g*x + f)*a*d*f*g^51*e^2 + 35*(g*x + f)^(9/2)*c*g^48*e^3 - 225*(g*x + f)^(7/2)*c*f*g^48*e^3 + 630*(g*x + f)^(5/2)*c*f^2*g^48*e^3 - 1050*(g*x + f)^(3/2)*c*f^3*g^48*e^3 + 1575*sqrt(g*x + f)*c*f^4*g^48*e^3 + 63*(g*x + f)^(5/2)*a*g^50*e^3 - 315*(g*x + f)^(3/2)*a*f*g^50*e^3 + 945*sqrt(g*x + f)*a*f^2*g^50*e^3)/g^54","B",0
597,1,275,0,0.325845," ","integrate((e*x+d)^2*(c*x^2+a)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{2} f^{2} g^{2} + a d^{2} g^{4} - 2 \, c d f^{3} g e - 2 \, a d f g^{3} e + c f^{4} e^{2} + a f^{2} g^{2} e^{2}\right)}}{\sqrt{g x + f} g^{5}} + \frac{2 \, {\left(35 \, {\left(g x + f\right)}^{\frac{3}{2}} c d^{2} g^{32} - 210 \, \sqrt{g x + f} c d^{2} f g^{32} + 42 \, {\left(g x + f\right)}^{\frac{5}{2}} c d g^{31} e - 210 \, {\left(g x + f\right)}^{\frac{3}{2}} c d f g^{31} e + 630 \, \sqrt{g x + f} c d f^{2} g^{31} e + 210 \, \sqrt{g x + f} a d g^{33} e + 15 \, {\left(g x + f\right)}^{\frac{7}{2}} c g^{30} e^{2} - 84 \, {\left(g x + f\right)}^{\frac{5}{2}} c f g^{30} e^{2} + 210 \, {\left(g x + f\right)}^{\frac{3}{2}} c f^{2} g^{30} e^{2} - 420 \, \sqrt{g x + f} c f^{3} g^{30} e^{2} + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} a g^{32} e^{2} - 210 \, \sqrt{g x + f} a f g^{32} e^{2}\right)}}{105 \, g^{35}}"," ",0,"-2*(c*d^2*f^2*g^2 + a*d^2*g^4 - 2*c*d*f^3*g*e - 2*a*d*f*g^3*e + c*f^4*e^2 + a*f^2*g^2*e^2)/(sqrt(g*x + f)*g^5) + 2/105*(35*(g*x + f)^(3/2)*c*d^2*g^32 - 210*sqrt(g*x + f)*c*d^2*f*g^32 + 42*(g*x + f)^(5/2)*c*d*g^31*e - 210*(g*x + f)^(3/2)*c*d*f*g^31*e + 630*sqrt(g*x + f)*c*d*f^2*g^31*e + 210*sqrt(g*x + f)*a*d*g^33*e + 15*(g*x + f)^(7/2)*c*g^30*e^2 - 84*(g*x + f)^(5/2)*c*f*g^30*e^2 + 210*(g*x + f)^(3/2)*c*f^2*g^30*e^2 - 420*sqrt(g*x + f)*c*f^3*g^30*e^2 + 35*(g*x + f)^(3/2)*a*g^32*e^2 - 210*sqrt(g*x + f)*a*f*g^32*e^2)/g^35","A",0
598,1,143,0,0.213316," ","integrate((e*x+d)*(c*x^2+a)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c d f^{2} g + a d g^{3} - c f^{3} e - a f g^{2} e\right)}}{\sqrt{g x + f} g^{4}} + \frac{2 \, {\left(5 \, {\left(g x + f\right)}^{\frac{3}{2}} c d g^{17} - 30 \, \sqrt{g x + f} c d f g^{17} + 3 \, {\left(g x + f\right)}^{\frac{5}{2}} c g^{16} e - 15 \, {\left(g x + f\right)}^{\frac{3}{2}} c f g^{16} e + 45 \, \sqrt{g x + f} c f^{2} g^{16} e + 15 \, \sqrt{g x + f} a g^{18} e\right)}}{15 \, g^{20}}"," ",0,"-2*(c*d*f^2*g + a*d*g^3 - c*f^3*e - a*f*g^2*e)/(sqrt(g*x + f)*g^4) + 2/15*(5*(g*x + f)^(3/2)*c*d*g^17 - 30*sqrt(g*x + f)*c*d*f*g^17 + 3*(g*x + f)^(5/2)*c*g^16*e - 15*(g*x + f)^(3/2)*c*f*g^16*e + 45*sqrt(g*x + f)*c*f^2*g^16*e + 15*sqrt(g*x + f)*a*g^18*e)/g^20","A",0
599,1,56,0,0.181035," ","integrate((c*x^2+a)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c f^{2} + a g^{2}\right)}}{\sqrt{g x + f} g^{3}} + \frac{2 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} c g^{6} - 6 \, \sqrt{g x + f} c f g^{6}\right)}}{3 \, g^{9}}"," ",0,"-2*(c*f^2 + a*g^2)/(sqrt(g*x + f)*g^3) + 2/3*((g*x + f)^(3/2)*c*g^6 - 6*sqrt(g*x + f)*c*f*g^6)/g^9","A",0
600,1,101,0,0.199893," ","integrate((c*x^2+a)/(e*x+d)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{2} + a e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{{\left(d g e - f e^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, \sqrt{g x + f} c e^{\left(-1\right)}}{g^{2}} - \frac{2 \, {\left(c f^{2} + a g^{2}\right)}}{{\left(d g^{3} - f g^{2} e\right)} \sqrt{g x + f}}"," ",0,"-2*(c*d^2 + a*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/(d*g*e - f*e^2)^(3/2) + 2*sqrt(g*x + f)*c*e^(-1)/g^2 - 2*(c*f^2 + a*g^2)/((d*g^3 - f*g^2*e)*sqrt(g*x + f))","A",0
601,1,225,0,0.191164," ","integrate((c*x^2+a)/(e*x+d)^2/(g*x+f)^(3/2),x, algorithm=""giac"")","\frac{{\left(c d^{2} g - 4 \, c d f e - 3 \, a g e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{{\left(d^{2} g^{2} e - 2 \, d f g e^{2} + f^{2} e^{3}\right)} \sqrt{d g e - f e^{2}}} - \frac{{\left(g x + f\right)} c d^{2} g^{2} + 2 \, c d f^{2} g e + 2 \, a d g^{3} e + 2 \, {\left(g x + f\right)} c f^{2} e^{2} - 2 \, c f^{3} e^{2} + 3 \, {\left(g x + f\right)} a g^{2} e^{2} - 2 \, a f g^{2} e^{2}}{{\left(d^{2} g^{3} e - 2 \, d f g^{2} e^{2} + f^{2} g e^{3}\right)} {\left(\sqrt{g x + f} d g + {\left(g x + f\right)}^{\frac{3}{2}} e - \sqrt{g x + f} f e\right)}}"," ",0,"(c*d^2*g - 4*c*d*f*e - 3*a*g*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/((d^2*g^2*e - 2*d*f*g*e^2 + f^2*e^3)*sqrt(d*g*e - f*e^2)) - ((g*x + f)*c*d^2*g^2 + 2*c*d*f^2*g*e + 2*a*d*g^3*e + 2*(g*x + f)*c*f^2*e^2 - 2*c*f^3*e^2 + 3*(g*x + f)*a*g^2*e^2 - 2*a*f*g^2*e^2)/((d^2*g^3*e - 2*d*f*g^2*e^2 + f^2*g*e^3)*(sqrt(g*x + f)*d*g + (g*x + f)^(3/2)*e - sqrt(g*x + f)*f*e))","A",0
602,1,361,0,0.221067," ","integrate((c*x^2+a)/(e*x+d)^3/(g*x+f)^(3/2),x, algorithm=""giac"")","\frac{{\left(c d^{2} g^{2} - 8 \, c d f g e - 8 \, c f^{2} e^{2} - 15 \, a g^{2} e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{4 \, {\left(d^{3} g^{3} e - 3 \, d^{2} f g^{2} e^{2} + 3 \, d f^{2} g e^{3} - f^{3} e^{4}\right)} \sqrt{d g e - f e^{2}}} - \frac{2 \, {\left(c f^{2} + a g^{2}\right)}}{{\left(d^{3} g^{3} - 3 \, d^{2} f g^{2} e + 3 \, d f^{2} g e^{2} - f^{3} e^{3}\right)} \sqrt{g x + f}} - \frac{\sqrt{g x + f} c d^{3} g^{3} - {\left(g x + f\right)}^{\frac{3}{2}} c d^{2} g^{2} e + 7 \, \sqrt{g x + f} c d^{2} f g^{2} e + 8 \, {\left(g x + f\right)}^{\frac{3}{2}} c d f g e^{2} - 8 \, \sqrt{g x + f} c d f^{2} g e^{2} + 9 \, \sqrt{g x + f} a d g^{3} e^{2} + 7 \, {\left(g x + f\right)}^{\frac{3}{2}} a g^{2} e^{3} - 9 \, \sqrt{g x + f} a f g^{2} e^{3}}{4 \, {\left(d^{3} g^{3} e - 3 \, d^{2} f g^{2} e^{2} + 3 \, d f^{2} g e^{3} - f^{3} e^{4}\right)} {\left(d g + {\left(g x + f\right)} e - f e\right)}^{2}}"," ",0,"1/4*(c*d^2*g^2 - 8*c*d*f*g*e - 8*c*f^2*e^2 - 15*a*g^2*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/((d^3*g^3*e - 3*d^2*f*g^2*e^2 + 3*d*f^2*g*e^3 - f^3*e^4)*sqrt(d*g*e - f*e^2)) - 2*(c*f^2 + a*g^2)/((d^3*g^3 - 3*d^2*f*g^2*e + 3*d*f^2*g*e^2 - f^3*e^3)*sqrt(g*x + f)) - 1/4*(sqrt(g*x + f)*c*d^3*g^3 - (g*x + f)^(3/2)*c*d^2*g^2*e + 7*sqrt(g*x + f)*c*d^2*f*g^2*e + 8*(g*x + f)^(3/2)*c*d*f*g*e^2 - 8*sqrt(g*x + f)*c*d*f^2*g*e^2 + 9*sqrt(g*x + f)*a*d*g^3*e^2 + 7*(g*x + f)^(3/2)*a*g^2*e^3 - 9*sqrt(g*x + f)*a*f*g^2*e^3)/((d^3*g^3*e - 3*d^2*f*g^2*e^2 + 3*d*f^2*g*e^3 - f^3*e^4)*(d*g + (g*x + f)*e - f*e)^2)","A",0
603,1,155,0,0.269502," ","integrate((c*x^2+a)/(e*x+d)^(1/2)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} \sqrt{x e + d} {\left(\frac{2 \, {\left(x e + d\right)} c e^{\left(-3\right)}}{g} - \frac{{\left(5 \, c d g^{2} e^{5} + 3 \, c f g e^{6}\right)} e^{\left(-8\right)}}{g^{3}}\right)} - \frac{{\left(3 \, c d^{2} g^{2} + 2 \, c d f g e + 3 \, c f^{2} e^{2} + 8 \, a g^{2} e^{2}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} + \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} \right|}\right)}{4 \, g^{\frac{5}{2}}}"," ",0,"1/4*sqrt((x*e + d)*g*e - d*g*e + f*e^2)*sqrt(x*e + d)*(2*(x*e + d)*c*e^(-3)/g - (5*c*d*g^2*e^5 + 3*c*f*g*e^6)*e^(-8)/g^3) - 1/4*(3*c*d^2*g^2 + 2*c*d*f*g*e + 3*c*f^2*e^2 + 8*a*g^2*e^2)*e^(-5/2)*log(abs(-sqrt(x*e + d)*sqrt(g)*e^(1/2) + sqrt((x*e + d)*g*e - d*g*e + f*e^2)))/g^(5/2)","A",0
604,1,12,0,0.169065," ","integrate((2*x^2-1)/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\sqrt{x + 1} \sqrt{x - 1} x"," ",0,"sqrt(x + 1)*sqrt(x - 1)*x","A",0
605,-1,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(g*x+f)^(1/2)/(c*x^2+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
606,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*(g*x+f)^(1/2)/(c*x^2+a),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
607,-2,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^(1/2)/(c*x^2+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[62,91]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[44,-43]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-18,-31]Precision problem choosing root in common_EXT, current precision 14Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{-2,[0,1]%%%},0,%%%{1,[2,2]%%%}+%%%{2,[1,2]%%%}+%%%{1,[0,2]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{-2,[0,1]%%%},0,%%%{1,[2,2]%%%}+%%%{2,[1,2]%%%}+%%%{1,[0,2]%%%}] at parameters values [-89,63]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-59,-77]Precision problem choosing root in common_EXT, current precision 14Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-37,-94]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-32,97]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-82.3579015951,0]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-29.292030761,22]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[2,-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-13,69]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-55,-78]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-57.0371161718,0]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-53.6704242053,49]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-20,-31]Precision problem choosing root in common_EXT, current precision 14Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-67,8]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-69,98]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-41.1343540126,0]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-46.2420096635,-70]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-53,73]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-78,50]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-61,27]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-18,-4]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[15,-93]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[97,57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[70,-37]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[8,40]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[10,9]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[85,-92]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-83,95]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-49.3556851153,0]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[66,42]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[20,-21]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[13,-34]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-90.5690937298,0]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-36.6004387327,-85]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[99,-89]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[2,-9]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-74,46]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-4.22288109735,0]Warning, choosing root of [1,0,%%%{2,[1,1]%%%}+%%%{2,[1,0]%%%},0,%%%{1,[2,2]%%%}+%%%{-2,[2,1]%%%}+%%%{1,[2,0]%%%}] at parameters values [-6.87379696826,-21]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-35,-95]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-9,27]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[-19,90]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[2,-39]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[55,-73]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[61,1]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[10,40]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[83,49]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[1,-81]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[76,-13]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[45,19]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0,0] was discarded and replaced randomly by 0=[37,-12]Evaluation time: 4.14index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
608,-1,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^(3/2)/(c*x^2+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
609,-1,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(e*x+d)^(5/2)/(c*x^2+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
610,-1,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
611,-1,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
612,-1,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
613,-1,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
614,-1,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(g*x+f)^(3/2)/(c*x^2+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
615,-1,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(g*x+f)^(3/2)/(c*x^2+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
616,-1,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(g*x+f)^(3/2)/(c*x^2+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
617,-1,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(g*x+f)^(3/2)/(c*x^2+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
618,-1,0,0,0.000000," ","integrate(x^(1/2)/(x^2+1)/(1+x)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
619,1,266,0,0.350294," ","integrate((g*x+f)^2*(-x^2+1)^(1/2)/(1-x)^4,x, algorithm=""giac"")","-g^{2} \arcsin\left(x\right) + \frac{2 \, {\left(4 \, f^{2} - 2 \, f g + 24 \, g^{2} + \frac{5 \, f^{2} {\left(\sqrt{-x^{2} + 1} - 1\right)}}{x} - \frac{10 \, f g {\left(\sqrt{-x^{2} + 1} - 1\right)}}{x} + \frac{105 \, g^{2} {\left(\sqrt{-x^{2} + 1} - 1\right)}}{x} + \frac{25 \, f^{2} {\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{x^{2}} + \frac{10 \, f g {\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{x^{2}} + \frac{165 \, g^{2} {\left(\sqrt{-x^{2} + 1} - 1\right)}^{2}}{x^{2}} + \frac{15 \, f^{2} {\left(\sqrt{-x^{2} + 1} - 1\right)}^{3}}{x^{3}} - \frac{30 \, f g {\left(\sqrt{-x^{2} + 1} - 1\right)}^{3}}{x^{3}} + \frac{75 \, g^{2} {\left(\sqrt{-x^{2} + 1} - 1\right)}^{3}}{x^{3}} + \frac{15 \, f^{2} {\left(\sqrt{-x^{2} + 1} - 1\right)}^{4}}{x^{4}} + \frac{15 \, g^{2} {\left(\sqrt{-x^{2} + 1} - 1\right)}^{4}}{x^{4}}\right)}}{15 \, {\left(\frac{\sqrt{-x^{2} + 1} - 1}{x} + 1\right)}^{5}}"," ",0,"-g^2*arcsin(x) + 2/15*(4*f^2 - 2*f*g + 24*g^2 + 5*f^2*(sqrt(-x^2 + 1) - 1)/x - 10*f*g*(sqrt(-x^2 + 1) - 1)/x + 105*g^2*(sqrt(-x^2 + 1) - 1)/x + 25*f^2*(sqrt(-x^2 + 1) - 1)^2/x^2 + 10*f*g*(sqrt(-x^2 + 1) - 1)^2/x^2 + 165*g^2*(sqrt(-x^2 + 1) - 1)^2/x^2 + 15*f^2*(sqrt(-x^2 + 1) - 1)^3/x^3 - 30*f*g*(sqrt(-x^2 + 1) - 1)^3/x^3 + 75*g^2*(sqrt(-x^2 + 1) - 1)^3/x^3 + 15*f^2*(sqrt(-x^2 + 1) - 1)^4/x^4 + 15*g^2*(sqrt(-x^2 + 1) - 1)^4/x^4)/((sqrt(-x^2 + 1) - 1)/x + 1)^5","B",0
620,1,208,0,0.588462," ","integrate((-a^2*x^2+1)^(3/2)/(-a*x+1)^2/(d*x+c),x, algorithm=""giac"")","-{\left(\frac{{\left(a x - 1\right)} \sqrt{-\frac{2}{a x - 1} - 1} \mathrm{sgn}\left(\frac{1}{a x - 1}\right) \mathrm{sgn}\left(a\right)}{a d} - \frac{2 \, {\left(a c \mathrm{sgn}\left(\frac{1}{a x - 1}\right) \mathrm{sgn}\left(a\right) - 2 \, d \mathrm{sgn}\left(\frac{1}{a x - 1}\right) \mathrm{sgn}\left(a\right)\right)} \arctan\left(\sqrt{-\frac{2}{a x - 1} - 1}\right)}{a d^{2}} + \frac{2 \, {\left(a^{2} c^{2} \mathrm{sgn}\left(\frac{1}{a x - 1}\right) \mathrm{sgn}\left(a\right) - 2 \, a c d \mathrm{sgn}\left(\frac{1}{a x - 1}\right) \mathrm{sgn}\left(a\right) + d^{2} \mathrm{sgn}\left(\frac{1}{a x - 1}\right) \mathrm{sgn}\left(a\right)\right)} \arctan\left(\frac{a c \sqrt{-\frac{2}{a x - 1} - 1} + d \sqrt{-\frac{2}{a x - 1} - 1}}{\sqrt{a^{2} c^{2} - d^{2}}}\right)}{\sqrt{a^{2} c^{2} - d^{2}} a d^{2}}\right)} {\left| a \right|}"," ",0,"-((a*x - 1)*sqrt(-2/(a*x - 1) - 1)*sgn(1/(a*x - 1))*sgn(a)/(a*d) - 2*(a*c*sgn(1/(a*x - 1))*sgn(a) - 2*d*sgn(1/(a*x - 1))*sgn(a))*arctan(sqrt(-2/(a*x - 1) - 1))/(a*d^2) + 2*(a^2*c^2*sgn(1/(a*x - 1))*sgn(a) - 2*a*c*d*sgn(1/(a*x - 1))*sgn(a) + d^2*sgn(1/(a*x - 1))*sgn(a))*arctan((a*c*sqrt(-2/(a*x - 1) - 1) + d*sqrt(-2/(a*x - 1) - 1))/sqrt(a^2*c^2 - d^2))/(sqrt(a^2*c^2 - d^2)*a*d^2))*abs(a)","B",0
621,1,131,0,0.461474," ","integrate((a*x+1)^2/(d*x+c)/(-a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{{\left(a^{2} c - 2 \, a d\right)} \arcsin\left(a x\right) \mathrm{sgn}\left(a\right)}{d^{2} {\left| a \right|}} - \frac{\sqrt{-a^{2} x^{2} + 1}}{d} - \frac{2 \, {\left(a^{3} c^{2} - 2 \, a^{2} c d + a d^{2}\right)} \arctan\left(\frac{d + \frac{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} c}{a x}}{\sqrt{a^{2} c^{2} - d^{2}}}\right)}{\sqrt{a^{2} c^{2} - d^{2}} d^{2} {\left| a \right|}}"," ",0,"-(a^2*c - 2*a*d)*arcsin(a*x)*sgn(a)/(d^2*abs(a)) - sqrt(-a^2*x^2 + 1)/d - 2*(a^3*c^2 - 2*a^2*c*d + a*d^2)*arctan((d + (sqrt(-a^2*x^2 + 1)*abs(a) + a)*c/(a*x))/sqrt(a^2*c^2 - d^2))/(sqrt(a^2*c^2 - d^2)*d^2*abs(a))","A",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
657,0,0,0,0.000000," ","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=""giac"")","\int \frac{\sqrt{e x + d} {\left(g x + f\right)}^{3}}{\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/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
658,0,0,0,0.000000," ","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=""giac"")","\int \frac{\sqrt{e x + d} {\left(g x + f\right)}^{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)^2/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
659,0,0,0,0.000000," ","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=""giac"")","\int \frac{\sqrt{e x + d} {\left(g x + f\right)}}{\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)/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
660,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{e x + d}}{\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(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",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=""giac"")","\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,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
663,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
664,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
665,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.71Unable to transpose Error: Bad Argument Value","F(-2)",0
666,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.25Unable to transpose Error: Bad Argument Value","F(-2)",0
667,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.89Unable to transpose Error: Bad Argument Value","F(-2)",0
668,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.66Unable to transpose Error: Bad Argument Value","F(-2)",0
669,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.51Unable to transpose Error: Bad Argument Value","F(-2)",0
670,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 2.58Unable to transpose Error: Bad Argument Value","F(-2)",0
671,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 3.85Unable to transpose Error: Bad Argument Value","F(-2)",0
672,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 6.27Unable to transpose Error: Bad Argument Value","F(-2)",0
673,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 4.4Unable to transpose Error: Bad Argument Value","F(-2)",0
674,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 3.14Unable to transpose Error: Bad Argument Value","F(-2)",0
675,-2,0,0,0.000000," ","integrate((e*x+d)^(5/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 2.06Unable to transpose Error: Bad Argument Value","F(-2)",0
676,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 6.14Unable to transpose Error: Bad Argument Value","F(-2)",0
677,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 10.12Unable to transpose Error: Bad Argument Value","F(-2)",0
678,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 13.97Unable to transpose Error: Bad Argument Value","F(-2)",0
679,0,0,0,0.000000," ","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=""giac"")","\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)}^{4}}{\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)^4/sqrt(e*x + d), x)","F",0
680,0,0,0,0.000000," ","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=""giac"")","\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)}^{3}}{\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/sqrt(e*x + d), x)","F",0
681,0,0,0,0.000000," ","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=""giac"")","\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)}^{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)^2/sqrt(e*x + d), x)","F",0
682,0,0,0,0.000000," ","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=""giac"")","\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)}}{\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)/sqrt(e*x + d), x)","F",0
683,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}{\sqrt{e x + d}}\,{d x}"," ",0,"integrate(sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)/sqrt(e*x + d), x)","F",0
684,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
685,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
686,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
687,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
688,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
689,0,0,0,0.000000," ","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=""giac"")","\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)}^{4}}{{\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)^4/(e*x + d)^(3/2), x)","F",0
690,0,0,0,0.000000," ","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=""giac"")","\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)}^{3}}{{\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/(e*x + d)^(3/2), x)","F",0
691,0,0,0,0.000000," ","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=""giac"")","\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)}^{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)^2/(e*x + d)^(3/2), x)","F",0
692,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
693,0,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2),x, algorithm=""giac"")","\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}}}\,{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), x)","F",0
694,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(3/2)/(e*x+d)^(3/2)/(g*x+f),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 4.51Unable to transpose Error: Bad Argument Value","F(-2)",0
695,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
696,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
697,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
698,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
699,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
700,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument ValueEvaluation time: 17.12Done","F(-2)",0
701,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument ValueEvaluation time: 12.66Done","F(-2)",0
702,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument ValueEvaluation time: 9.37Done","F(-2)",0
703,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument ValueEvaluation time: 5.43Done","F(-2)",0
704,-2,0,0,0.000000," ","integrate((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument ValueEvaluation time: 3.17Done","F(-2)",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=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
706,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
707,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
708,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
709,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
710,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
711,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
712,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
713,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
714,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
715,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
716,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
717,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
718,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
719,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
720,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 3.47Unable to transpose Error: Bad Argument Value","F(-2)",0
721,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 2.26Unable to transpose Error: Bad Argument Value","F(-2)",0
722,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.34Unable to transpose Error: Bad Argument Value","F(-2)",0
723,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
724,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
725,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
726,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
727,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 7.72Unable to transpose Error: Bad Argument Value","F(-2)",0
728,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 5.17Unable to transpose Error: Bad Argument Value","F(-2)",0
729,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 3.22Unable to transpose Error: Bad Argument Value","F(-2)",0
730,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
731,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
732,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
733,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
734,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
735,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
736,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
737,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
738,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
739,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
740,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
741,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
742,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
743,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
744,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
745,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
746,-1,0,0,0.000000," ","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)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
747,-1,0,0,0.000000," ","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)^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
748,-1,0,0,0.000000," ","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)^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
749,-1,0,0,0.000000," ","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)^(11/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
750,-1,0,0,0.000000," ","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)^(13/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
751,-2,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument ValueEvaluation time: 16.59Done","F(-2)",0
752,-2,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(5/2)/(e*x+d)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument ValueEvaluation time: 7.91Done","F(-2)",0
753,-1,0,0,0.000000," ","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)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
754,-1,0,0,0.000000," ","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)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
755,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
756,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
757,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
758,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
759,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
760,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
761,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 3.73Unable to transpose Error: Bad Argument Value","F(-2)",0
762,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.08Unable to transpose Error: Bad Argument Value","F(-2)",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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument ValueEvaluation time: 6.4Done","F(-2)",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=""giac"")","\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
768,1,2024,0,0.330997," ","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=""giac"")","-\frac{{\left(x e + d\right)}^{m} c^{4} d^{4} g^{3} m^{3} x^{4} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 3 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f g^{2} m^{3} x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} - 6 \, {\left(x e + d\right)}^{m} c^{4} d^{4} g^{3} m^{2} x^{4} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + {\left(x e + d\right)}^{m} a c^{3} d^{3} g^{3} m^{3} x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + 3 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f^{2} g m^{3} x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} - 21 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f g^{2} m^{2} x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 11 \, {\left(x e + d\right)}^{m} c^{4} d^{4} g^{3} m x^{4} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 3 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} f g^{2} m^{3} x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 3 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} g^{3} m^{2} x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + {\left(x e + d\right)}^{m} c^{4} d^{4} f^{3} m^{3} x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} - 24 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f^{2} g m^{2} x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 42 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f g^{2} m x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} - 6 \, {\left(x e + d\right)}^{m} c^{4} d^{4} g^{3} x^{4} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 3 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} f^{2} g m^{3} x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 15 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} f g^{2} m^{2} x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + 2 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} g^{3} m x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 9 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f^{3} m^{2} x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 57 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f^{2} g m x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} - 24 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f g^{2} x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 3 \, {\left(x e + d\right)}^{m} a^{2} c^{2} d^{2} g^{3} m^{2} x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} + {\left(x e + d\right)}^{m} a c^{3} d^{3} f^{3} m^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 21 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} f^{2} g m^{2} x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + 12 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} f g^{2} m x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + 26 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f^{3} m x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} - 36 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f^{2} g x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 6 \, {\left(x e + d\right)}^{m} a^{2} c^{2} d^{2} f g^{2} m^{2} x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} - 3 \, {\left(x e + d\right)}^{m} a^{2} c^{2} d^{2} g^{3} m x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} - 9 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} f^{3} m^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + 36 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} f^{2} g m x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 24 \, {\left(x e + d\right)}^{m} c^{4} d^{4} f^{3} x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 3 \, {\left(x e + d\right)}^{m} a^{2} c^{2} d^{2} f^{2} g m^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} - 24 \, {\left(x e + d\right)}^{m} a^{2} c^{2} d^{2} f g^{2} m x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} + 26 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} f^{3} m e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + 6 \, {\left(x e + d\right)}^{m} a^{3} c d g^{3} m x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 3\right)} - 21 \, {\left(x e + d\right)}^{m} a^{2} c^{2} d^{2} f^{2} g m e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} - 24 \, {\left(x e + d\right)}^{m} a c^{3} d^{3} f^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + 6 \, {\left(x e + d\right)}^{m} a^{3} c d f g^{2} m e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 3\right)} + 36 \, {\left(x e + d\right)}^{m} a^{2} c^{2} d^{2} f^{2} g e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} - 24 \, {\left(x e + d\right)}^{m} a^{3} c d f g^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 3\right)} + 6 \, {\left(x e + d\right)}^{m} a^{4} g^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 4\right)}}{c^{4} d^{4} m^{4} - 10 \, c^{4} d^{4} m^{3} + 35 \, c^{4} d^{4} m^{2} - 50 \, c^{4} d^{4} m + 24 \, c^{4} d^{4}}"," ",0,"-((x*e + d)^m*c^4*d^4*g^3*m^3*x^4*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 3*(x*e + d)^m*c^4*d^4*f*g^2*m^3*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) - 6*(x*e + d)^m*c^4*d^4*g^3*m^2*x^4*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + (x*e + d)^m*a*c^3*d^3*g^3*m^3*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + 3*(x*e + d)^m*c^4*d^4*f^2*g*m^3*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) - 21*(x*e + d)^m*c^4*d^4*f*g^2*m^2*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 11*(x*e + d)^m*c^4*d^4*g^3*m*x^4*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 3*(x*e + d)^m*a*c^3*d^3*f*g^2*m^3*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 3*(x*e + d)^m*a*c^3*d^3*g^3*m^2*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + (x*e + d)^m*c^4*d^4*f^3*m^3*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) - 24*(x*e + d)^m*c^4*d^4*f^2*g*m^2*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 42*(x*e + d)^m*c^4*d^4*f*g^2*m*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) - 6*(x*e + d)^m*c^4*d^4*g^3*x^4*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 3*(x*e + d)^m*a*c^3*d^3*f^2*g*m^3*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 15*(x*e + d)^m*a*c^3*d^3*f*g^2*m^2*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + 2*(x*e + d)^m*a*c^3*d^3*g^3*m*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 9*(x*e + d)^m*c^4*d^4*f^3*m^2*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 57*(x*e + d)^m*c^4*d^4*f^2*g*m*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) - 24*(x*e + d)^m*c^4*d^4*f*g^2*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 3*(x*e + d)^m*a^2*c^2*d^2*g^3*m^2*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) + (x*e + d)^m*a*c^3*d^3*f^3*m^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 21*(x*e + d)^m*a*c^3*d^3*f^2*g*m^2*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + 12*(x*e + d)^m*a*c^3*d^3*f*g^2*m*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + 26*(x*e + d)^m*c^4*d^4*f^3*m*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) - 36*(x*e + d)^m*c^4*d^4*f^2*g*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 6*(x*e + d)^m*a^2*c^2*d^2*f*g^2*m^2*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) - 3*(x*e + d)^m*a^2*c^2*d^2*g^3*m*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) - 9*(x*e + d)^m*a*c^3*d^3*f^3*m^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + 36*(x*e + d)^m*a*c^3*d^3*f^2*g*m*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 24*(x*e + d)^m*c^4*d^4*f^3*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 3*(x*e + d)^m*a^2*c^2*d^2*f^2*g*m^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) - 24*(x*e + d)^m*a^2*c^2*d^2*f*g^2*m*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) + 26*(x*e + d)^m*a*c^3*d^3*f^3*m*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + 6*(x*e + d)^m*a^3*c*d*g^3*m*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 3) - 21*(x*e + d)^m*a^2*c^2*d^2*f^2*g*m*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) - 24*(x*e + d)^m*a*c^3*d^3*f^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + 6*(x*e + d)^m*a^3*c*d*f*g^2*m*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 3) + 36*(x*e + d)^m*a^2*c^2*d^2*f^2*g*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) - 24*(x*e + d)^m*a^3*c*d*f*g^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 3) + 6*(x*e + d)^m*a^4*g^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 4))/(c^4*d^4*m^4 - 10*c^4*d^4*m^3 + 35*c^4*d^4*m^2 - 50*c^4*d^4*m + 24*c^4*d^4)","B",0
769,1,981,0,0.279666," ","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=""giac"")","-\frac{{\left(x e + d\right)}^{m} c^{3} d^{3} g^{2} m^{2} x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 2 \, {\left(x e + d\right)}^{m} c^{3} d^{3} f g m^{2} x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} - 3 \, {\left(x e + d\right)}^{m} c^{3} d^{3} g^{2} m x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + {\left(x e + d\right)}^{m} a c^{2} d^{2} g^{2} m^{2} x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + {\left(x e + d\right)}^{m} c^{3} d^{3} f^{2} m^{2} x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} - 8 \, {\left(x e + d\right)}^{m} c^{3} d^{3} f g m x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 2 \, {\left(x e + d\right)}^{m} c^{3} d^{3} g^{2} x^{3} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 2 \, {\left(x e + d\right)}^{m} a c^{2} d^{2} f g m^{2} x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - {\left(x e + d\right)}^{m} a c^{2} d^{2} g^{2} m x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 5 \, {\left(x e + d\right)}^{m} c^{3} d^{3} f^{2} m x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 6 \, {\left(x e + d\right)}^{m} c^{3} d^{3} f g x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + {\left(x e + d\right)}^{m} a c^{2} d^{2} f^{2} m^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 6 \, {\left(x e + d\right)}^{m} a c^{2} d^{2} f g m x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + 6 \, {\left(x e + d\right)}^{m} c^{3} d^{3} f^{2} x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + 2 \, {\left(x e + d\right)}^{m} a^{2} c d g^{2} m x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} - 5 \, {\left(x e + d\right)}^{m} a c^{2} d^{2} f^{2} m e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + 2 \, {\left(x e + d\right)}^{m} a^{2} c d f g m e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} + 6 \, {\left(x e + d\right)}^{m} a c^{2} d^{2} f^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 6 \, {\left(x e + d\right)}^{m} a^{2} c d f g e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)} + 2 \, {\left(x e + d\right)}^{m} a^{3} g^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 3\right)}}{c^{3} d^{3} m^{3} - 6 \, c^{3} d^{3} m^{2} + 11 \, c^{3} d^{3} m - 6 \, c^{3} d^{3}}"," ",0,"-((x*e + d)^m*c^3*d^3*g^2*m^2*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 2*(x*e + d)^m*c^3*d^3*f*g*m^2*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) - 3*(x*e + d)^m*c^3*d^3*g^2*m*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + (x*e + d)^m*a*c^2*d^2*g^2*m^2*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + (x*e + d)^m*c^3*d^3*f^2*m^2*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) - 8*(x*e + d)^m*c^3*d^3*f*g*m*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 2*(x*e + d)^m*c^3*d^3*g^2*x^3*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 2*(x*e + d)^m*a*c^2*d^2*f*g*m^2*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - (x*e + d)^m*a*c^2*d^2*g^2*m*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 5*(x*e + d)^m*c^3*d^3*f^2*m*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 6*(x*e + d)^m*c^3*d^3*f*g*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + (x*e + d)^m*a*c^2*d^2*f^2*m^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 6*(x*e + d)^m*a*c^2*d^2*f*g*m*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + 6*(x*e + d)^m*c^3*d^3*f^2*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + 2*(x*e + d)^m*a^2*c*d*g^2*m*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) - 5*(x*e + d)^m*a*c^2*d^2*f^2*m*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + 2*(x*e + d)^m*a^2*c*d*f*g*m*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) + 6*(x*e + d)^m*a*c^2*d^2*f^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 6*(x*e + d)^m*a^2*c*d*f*g*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2) + 2*(x*e + d)^m*a^3*g^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 3))/(c^3*d^3*m^3 - 6*c^3*d^3*m^2 + 11*c^3*d^3*m - 6*c^3*d^3)","B",0
770,1,369,0,0.254223," ","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=""giac"")","-\frac{{\left(x e + d\right)}^{m} c^{2} d^{2} g m x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + {\left(x e + d\right)}^{m} c^{2} d^{2} f m x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} - {\left(x e + d\right)}^{m} c^{2} d^{2} g x^{2} e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + {\left(x e + d\right)}^{m} a c d g m x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 2 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + {\left(x e + d\right)}^{m} a c d f m e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} - 2 \, {\left(x e + d\right)}^{m} a c d f e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)} + {\left(x e + d\right)}^{m} a^{2} g e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 2\right)}}{c^{2} d^{2} m^{2} - 3 \, c^{2} d^{2} m + 2 \, c^{2} d^{2}}"," ",0,"-((x*e + d)^m*c^2*d^2*g*m*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + (x*e + d)^m*c^2*d^2*f*m*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) - (x*e + d)^m*c^2*d^2*g*x^2*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + (x*e + d)^m*a*c*d*g*m*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 2*(x*e + d)^m*c^2*d^2*f*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + (x*e + d)^m*a*c*d*f*m*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) - 2*(x*e + d)^m*a*c*d*f*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1) + (x*e + d)^m*a^2*g*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 2))/(c^2*d^2*m^2 - 3*c^2*d^2*m + 2*c^2*d^2)","B",0
771,1,87,0,0.224855," ","integrate((e*x+d)^m/((a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^m),x, algorithm=""giac"")","-\frac{{\left(x e + d\right)}^{m} c d x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + {\left(x e + d\right)}^{m} a e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)}}{c d m - c d}"," ",0,"-((x*e + d)^m*c*d*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + (x*e + d)^m*a*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1))/(c*d*m - c*d)","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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
780,1,114,0,0.246785," ","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=""giac"")","-\frac{{\left(c d x + a e\right)}^{n} {\left(x e + d\right)}^{m} c d x e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right)\right)} + {\left(c d x + a e\right)}^{n} {\left(x e + d\right)}^{m} a e^{\left(-m \log\left(c d x + a e\right) - m \log\left(x e + d\right) + 1\right)}}{c d m - c d n - c d}"," ",0,"-((c*d*x + a*e)^n*(x*e + d)^m*c*d*x*e^(-m*log(c*d*x + a*e) - m*log(x*e + d)) + (c*d*x + a*e)^n*(x*e + d)^m*a*e^(-m*log(c*d*x + a*e) - m*log(x*e + d) + 1))/(c*d*m - c*d*n - c*d)","A",0
781,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(-c d e^{2} g x + c d^{2} e g - {\left(c d^{2} + a e^{2}\right)} e g\right)}^{m - 1} {\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((-c*d*e^2*g*x + c*d^2*e*g - (c*d^2 + a*e^2)*e*g)^(m - 1)*(e*x + d)^m/(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x)^m, x)","F",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=""giac"")","\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
783,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{4}}{\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)^4/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
784,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{3}}{\sqrt{c d e x^{2} + a d e + {\left(c d^{2} + a e^{2}\right)} x}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(g*x + f)^3/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
785,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{2}}{\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)^2/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
786,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}}{\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)/sqrt(c*d*e*x^2 + a*d*e + (c*d^2 + a*e^2)*x), x)","F",0
787,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(a*d*e+(a*e^2+c*d^2)*x+c*d*e*x^2)^(1/2),x, algorithm=""giac"")","\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}}\,{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), x)","F",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=""giac"")","\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,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
790,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
791,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
792,1,412,0,0.617526," ","integrate((c*x^2+b*x+a)^3/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-\frac{{\left({\left(2 \, {\left({\left(d x + 1\right)} {\left(4 \, {\left(d x + 1\right)} {\left(\frac{5 \, {\left(d x + 1\right)} c^{3}}{d^{6}} + \frac{18 \, b c^{2} d^{37} - 25 \, c^{3} d^{36}}{d^{42}}\right)} + \frac{9 \, {\left(10 \, b^{2} c d^{38} + 10 \, a c^{2} d^{38} - 32 \, b c^{2} d^{37} + 25 \, c^{3} d^{36}\right)}}{d^{42}}\right)} + \frac{40 \, b^{3} d^{39} + 240 \, a b c d^{39} - 270 \, b^{2} c d^{38} - 270 \, a c^{2} d^{38} + 528 \, b c^{2} d^{37} - 275 \, c^{3} d^{36}}{d^{42}}\right)} {\left(d x + 1\right)} + \frac{5 \, {\left(72 \, a b^{2} d^{40} + 72 \, a^{2} c d^{40} - 32 \, b^{3} d^{39} - 192 \, a b c d^{39} + 162 \, b^{2} c d^{38} + 162 \, a c^{2} d^{38} - 192 \, b c^{2} d^{37} + 85 \, c^{3} d^{36}\right)}}{d^{42}}\right)} {\left(d x + 1\right)} + \frac{15 \, {\left(48 \, a^{2} b d^{41} - 24 \, a b^{2} d^{40} - 24 \, a^{2} c d^{40} + 16 \, b^{3} d^{39} + 96 \, a b c d^{39} - 30 \, b^{2} c d^{38} - 30 \, a c^{2} d^{38} + 48 \, b c^{2} d^{37} - 11 \, c^{3} d^{36}\right)}}{d^{42}}\right)} \sqrt{d x + 1} \sqrt{-d x + 1} - \frac{30 \, {\left(16 \, a^{3} d^{6} + 24 \, a b^{2} d^{4} + 24 \, a^{2} c d^{4} + 18 \, b^{2} c d^{2} + 18 \, a c^{2} d^{2} + 5 \, c^{3}\right)} \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{d x + 1}\right)}{d^{6}}}{240 \, d}"," ",0,"-1/240*(((2*((d*x + 1)*(4*(d*x + 1)*(5*(d*x + 1)*c^3/d^6 + (18*b*c^2*d^37 - 25*c^3*d^36)/d^42) + 9*(10*b^2*c*d^38 + 10*a*c^2*d^38 - 32*b*c^2*d^37 + 25*c^3*d^36)/d^42) + (40*b^3*d^39 + 240*a*b*c*d^39 - 270*b^2*c*d^38 - 270*a*c^2*d^38 + 528*b*c^2*d^37 - 275*c^3*d^36)/d^42)*(d*x + 1) + 5*(72*a*b^2*d^40 + 72*a^2*c*d^40 - 32*b^3*d^39 - 192*a*b*c*d^39 + 162*b^2*c*d^38 + 162*a*c^2*d^38 - 192*b*c^2*d^37 + 85*c^3*d^36)/d^42)*(d*x + 1) + 15*(48*a^2*b*d^41 - 24*a*b^2*d^40 - 24*a^2*c*d^40 + 16*b^3*d^39 + 96*a*b*c*d^39 - 30*b^2*c*d^38 - 30*a*c^2*d^38 + 48*b*c^2*d^37 - 11*c^3*d^36)/d^42)*sqrt(d*x + 1)*sqrt(-d*x + 1) - 30*(16*a^3*d^6 + 24*a*b^2*d^4 + 24*a^2*c*d^4 + 18*b^2*c*d^2 + 18*a*c^2*d^2 + 5*c^3)*arcsin(1/2*sqrt(2)*sqrt(d*x + 1))/d^6)/d","A",0
793,1,196,0,0.421837," ","integrate((c*x^2+b*x+a)^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-\frac{{\left({\left(d x + 1\right)} {\left(2 \, {\left(d x + 1\right)} {\left(\frac{3 \, {\left(d x + 1\right)} c^{2}}{d^{4}} + \frac{8 \, b c d^{17} - 9 \, c^{2} d^{16}}{d^{20}}\right)} + \frac{12 \, b^{2} d^{18} + 24 \, a c d^{18} - 32 \, b c d^{17} + 27 \, c^{2} d^{16}}{d^{20}}\right)} + \frac{3 \, {\left(16 \, a b d^{19} - 4 \, b^{2} d^{18} - 8 \, a c d^{18} + 16 \, b c d^{17} - 5 \, c^{2} d^{16}\right)}}{d^{20}}\right)} \sqrt{d x + 1} \sqrt{-d x + 1} - \frac{6 \, {\left(8 \, a^{2} d^{4} + 4 \, b^{2} d^{2} + 8 \, a c d^{2} + 3 \, c^{2}\right)} \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{d x + 1}\right)}{d^{4}}}{24 \, d}"," ",0,"-1/24*(((d*x + 1)*(2*(d*x + 1)*(3*(d*x + 1)*c^2/d^4 + (8*b*c*d^17 - 9*c^2*d^16)/d^20) + (12*b^2*d^18 + 24*a*c*d^18 - 32*b*c*d^17 + 27*c^2*d^16)/d^20) + 3*(16*a*b*d^19 - 4*b^2*d^18 - 8*a*c*d^18 + 16*b*c*d^17 - 5*c^2*d^16)/d^20)*sqrt(d*x + 1)*sqrt(-d*x + 1) - 6*(8*a^2*d^4 + 4*b^2*d^2 + 8*a*c*d^2 + 3*c^2)*arcsin(1/2*sqrt(2)*sqrt(d*x + 1))/d^4)/d","A",0
794,1,76,0,0.267786," ","integrate((c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d x + 1} \sqrt{-d x + 1} {\left(\frac{{\left(d x + 1\right)} c}{d^{2}} + \frac{2 \, b d^{5} - c d^{4}}{d^{6}}\right)} - \frac{2 \, {\left(2 \, a d^{2} + c\right)} \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{d x + 1}\right)}{d^{2}}}{2 \, d}"," ",0,"-1/2*(sqrt(d*x + 1)*sqrt(-d*x + 1)*((d*x + 1)*c/d^2 + (2*b*d^5 - c*d^4)/d^6) - 2*(2*a*d^2 + c)*arcsin(1/2*sqrt(2)*sqrt(d*x + 1))/d^2)/d","A",0
795,1,684,0,1.504712," ","integrate(1/(c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-\frac{{\left(a d^{2} - b d + c\right)} {\left(\frac{{\left(a d^{2} - c + \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}\right)} d}{a d^{2} - b d + c} - d\right)} \sqrt{\frac{a d^{2} - c + \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}}{a d^{2} - b d + c}} \arctan\left(-\frac{\frac{\sqrt{2} - \sqrt{-d x + 1}}{\sqrt{d x + 1}} - \frac{\sqrt{d x + 1}}{\sqrt{2} - \sqrt{-d x + 1}}}{2 \, \sqrt{\frac{a d^{2} - c + \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}}{a d^{2} - b d + c}}}\right)}{{\left(a d^{2} - c + \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}\right)} \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}} + \frac{{\left(a d^{2} - b d + c\right)} {\left(\frac{{\left(a d^{2} - c - \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}\right)} d}{a d^{2} - b d + c} - d\right)} \sqrt{\frac{a d^{2} - c - \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}}{a d^{2} - b d + c}} \arctan\left(-\frac{\frac{\sqrt{2} - \sqrt{-d x + 1}}{\sqrt{d x + 1}} - \frac{\sqrt{d x + 1}}{\sqrt{2} - \sqrt{-d x + 1}}}{2 \, \sqrt{\frac{a d^{2} - c - \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}}{a d^{2} - b d + c}}}\right)}{{\left(a d^{2} - c - \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}\right)} \sqrt{-{\left(a d^{2} + b d + c\right)} {\left(a d^{2} - b d + c\right)} + {\left(a d^{2} - c\right)}^{2}}}"," ",0,"-(a*d^2 - b*d + c)*((a*d^2 - c + sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2))*d/(a*d^2 - b*d + c) - d)*sqrt((a*d^2 - c + sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2))/(a*d^2 - b*d + c))*arctan(-1/2*((sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) - sqrt(d*x + 1)/(sqrt(2) - sqrt(-d*x + 1)))/sqrt((a*d^2 - c + sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2))/(a*d^2 - b*d + c)))/((a*d^2 - c + sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2))*sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2)) + (a*d^2 - b*d + c)*((a*d^2 - c - sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2))*d/(a*d^2 - b*d + c) - d)*sqrt((a*d^2 - c - sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2))/(a*d^2 - b*d + c))*arctan(-1/2*((sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) - sqrt(d*x + 1)/(sqrt(2) - sqrt(-d*x + 1)))/sqrt((a*d^2 - c - sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2))/(a*d^2 - b*d + c)))/((a*d^2 - c - sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2))*sqrt(-(a*d^2 + b*d + c)*(a*d^2 - b*d + c) + (a*d^2 - c)^2))","B",0
796,-1,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
797,1,732,0,0.610541," ","integrate((c*x^2+b*x+a)^3/(-d*x+1)^(3/2)/(d*x+1)^(3/2),x, algorithm=""giac"")","\frac{{\left({\left({\left(d x + 1\right)} {\left(2 \, {\left(d x + 1\right)} {\left(\frac{{\left(d x + 1\right)} c^{3}}{d^{7}} + \frac{4 \, b c^{2} d^{36} - 5 \, c^{3} d^{35}}{d^{42}}\right)} + \frac{12 \, b^{2} c d^{37} + 12 \, a c^{2} d^{37} - 32 \, b c^{2} d^{36} + 25 \, c^{3} d^{35}}{d^{42}}\right)} + \frac{8 \, b^{3} d^{38} + 48 \, a b c d^{38} - 36 \, b^{2} c d^{37} - 36 \, a c^{2} d^{37} + 80 \, b c^{2} d^{36} - 35 \, c^{3} d^{35}}{d^{42}}\right)} {\left(d x + 1\right)} - \frac{2 \, {\left(2 \, a^{3} d^{41} + 6 \, a^{2} b d^{40} + 6 \, a b^{2} d^{39} + 6 \, a^{2} c d^{39} + 10 \, b^{3} d^{38} + 60 \, a b c d^{38} - 6 \, b^{2} c d^{37} - 6 \, a c^{2} d^{37} + 54 \, b c^{2} d^{36} - 7 \, c^{3} d^{35}\right)}}{d^{42}}\right)} \sqrt{d x + 1} \sqrt{-d x + 1}}{8 \, {\left(d x - 1\right)}} - \frac{3 \, {\left(8 \, a b^{2} d^{4} + 8 \, a^{2} c d^{4} + 12 \, b^{2} c d^{2} + 12 \, a c^{2} d^{2} + 5 \, c^{3}\right)} \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{d x + 1}\right)}{4 \, d^{7}} + \frac{\frac{a^{3} d^{6} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} - \frac{3 \, a^{2} b d^{5} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} + \frac{3 \, a b^{2} d^{4} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} + \frac{3 \, a^{2} c d^{4} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} - \frac{b^{3} d^{3} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} - \frac{6 \, a b c d^{3} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} + \frac{3 \, b^{2} c d^{2} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} + \frac{3 \, a c^{2} d^{2} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} - \frac{3 \, b c^{2} d {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} + \frac{c^{3} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}}}{4 \, d^{7}} - \frac{{\left(a^{3} d^{6} - 3 \, a^{2} b d^{5} + 3 \, a b^{2} d^{4} + 3 \, a^{2} c d^{4} - b^{3} d^{3} - 6 \, a b c d^{3} + 3 \, b^{2} c d^{2} + 3 \, a c^{2} d^{2} - 3 \, b c^{2} d + c^{3}\right)} \sqrt{d x + 1}}{4 \, d^{7} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}"," ",0,"1/8*(((d*x + 1)*(2*(d*x + 1)*((d*x + 1)*c^3/d^7 + (4*b*c^2*d^36 - 5*c^3*d^35)/d^42) + (12*b^2*c*d^37 + 12*a*c^2*d^37 - 32*b*c^2*d^36 + 25*c^3*d^35)/d^42) + (8*b^3*d^38 + 48*a*b*c*d^38 - 36*b^2*c*d^37 - 36*a*c^2*d^37 + 80*b*c^2*d^36 - 35*c^3*d^35)/d^42)*(d*x + 1) - 2*(2*a^3*d^41 + 6*a^2*b*d^40 + 6*a*b^2*d^39 + 6*a^2*c*d^39 + 10*b^3*d^38 + 60*a*b*c*d^38 - 6*b^2*c*d^37 - 6*a*c^2*d^37 + 54*b*c^2*d^36 - 7*c^3*d^35)/d^42)*sqrt(d*x + 1)*sqrt(-d*x + 1)/(d*x - 1) - 3/4*(8*a*b^2*d^4 + 8*a^2*c*d^4 + 12*b^2*c*d^2 + 12*a*c^2*d^2 + 5*c^3)*arcsin(1/2*sqrt(2)*sqrt(d*x + 1))/d^7 + 1/4*(a^3*d^6*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) - 3*a^2*b*d^5*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) + 3*a*b^2*d^4*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) + 3*a^2*c*d^4*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) - b^3*d^3*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) - 6*a*b*c*d^3*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) + 3*b^2*c*d^2*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) + 3*a*c^2*d^2*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) - 3*b*c^2*d*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) + c^3*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1))/d^7 - 1/4*(a^3*d^6 - 3*a^2*b*d^5 + 3*a*b^2*d^4 + 3*a^2*c*d^4 - b^3*d^3 - 6*a*b*c*d^3 + 3*b^2*c*d^2 + 3*a*c^2*d^2 - 3*b*c^2*d + c^3)*sqrt(d*x + 1)/(d^7*(sqrt(2) - sqrt(-d*x + 1)))","B",0
798,1,387,0,0.394365," ","integrate((c*x^2+b*x+a)^2/(-d*x+1)^(3/2)/(d*x+1)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{d x + 1} \sqrt{-d x + 1} {\left({\left(d x + 1\right)} {\left(\frac{{\left(d x + 1\right)} c^{2}}{d^{5}} + \frac{4 \, b c d^{16} - 3 \, c^{2} d^{15}}{d^{20}}\right)} - \frac{a^{2} d^{19} + 2 \, a b d^{18} + b^{2} d^{17} + 2 \, a c d^{17} + 10 \, b c d^{16} - c^{2} d^{15}}{d^{20}}\right)}}{2 \, {\left(d x - 1\right)}} - \frac{{\left(2 \, b^{2} d^{2} + 4 \, a c d^{2} + 3 \, c^{2}\right)} \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{d x + 1}\right)}{d^{5}} + \frac{\frac{a^{2} d^{4} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} - \frac{2 \, a b d^{3} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} + \frac{b^{2} d^{2} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} + \frac{2 \, a c d^{2} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} - \frac{2 \, b c d {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} + \frac{c^{2} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}}}{4 \, d^{5}} - \frac{{\left(a^{2} d^{4} - 2 \, a b d^{3} + b^{2} d^{2} + 2 \, a c d^{2} - 2 \, b c d + c^{2}\right)} \sqrt{d x + 1}}{4 \, d^{5} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}"," ",0,"1/2*sqrt(d*x + 1)*sqrt(-d*x + 1)*((d*x + 1)*((d*x + 1)*c^2/d^5 + (4*b*c*d^16 - 3*c^2*d^15)/d^20) - (a^2*d^19 + 2*a*b*d^18 + b^2*d^17 + 2*a*c*d^17 + 10*b*c*d^16 - c^2*d^15)/d^20)/(d*x - 1) - (2*b^2*d^2 + 4*a*c*d^2 + 3*c^2)*arcsin(1/2*sqrt(2)*sqrt(d*x + 1))/d^5 + 1/4*(a^2*d^4*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) - 2*a*b*d^3*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) + b^2*d^2*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) + 2*a*c*d^2*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) - 2*b*c*d*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) + c^2*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1))/d^5 - 1/4*(a^2*d^4 - 2*a*b*d^3 + b^2*d^2 + 2*a*c*d^2 - 2*b*c*d + c^2)*sqrt(d*x + 1)/(d^5*(sqrt(2) - sqrt(-d*x + 1)))","B",0
799,1,182,0,0.302932," ","integrate((c*x^2+b*x+a)/(-d*x+1)^(3/2)/(d*x+1)^(3/2),x, algorithm=""giac"")","-\frac{2 \, c \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{d x + 1}\right)}{d^{3}} + \frac{\frac{a d^{2} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} - \frac{b d {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}} + \frac{c {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}}{\sqrt{d x + 1}}}{4 \, d^{3}} - \frac{{\left(a d^{2} - b d + c\right)} \sqrt{d x + 1}}{4 \, d^{3} {\left(\sqrt{2} - \sqrt{-d x + 1}\right)}} - \frac{{\left(a d^{5} + b d^{4} + c d^{3}\right)} \sqrt{d x + 1} \sqrt{-d x + 1}}{2 \, {\left(d x - 1\right)} d^{6}}"," ",0,"-2*c*arcsin(1/2*sqrt(2)*sqrt(d*x + 1))/d^3 + 1/4*(a*d^2*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) - b*d*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1) + c*(sqrt(2) - sqrt(-d*x + 1))/sqrt(d*x + 1))/d^3 - 1/4*(a*d^2 - b*d + c)*sqrt(d*x + 1)/(d^3*(sqrt(2) - sqrt(-d*x + 1))) - 1/2*(a*d^5 + b*d^4 + c*d^3)*sqrt(d*x + 1)*sqrt(-d*x + 1)/((d*x - 1)*d^6)","B",0
800,-1,0,0,0.000000," ","integrate(1/(-d*x+1)^(3/2)/(d*x+1)^(3/2)/(c*x^2+b*x+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
801,-1,0,0,0.000000," ","integrate(1/(-d*x+1)^(3/2)/(d*x+1)^(3/2)/(c*x^2+b*x+a)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
802,0,0,0,0.000000," ","integrate((-e*x+1)^m*(e*x+1)^m*(c*x^2+a)^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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
805,1,3760,0,0.585481," ","integrate((e*x+d)^3*(g*x+f)^n*(c*e*x^2+2*c*d*x+a),x, algorithm=""giac"")","\frac{{\left(g x + f\right)}^{n} c g^{6} n^{5} x^{6} e^{4} + 5 \, {\left(g x + f\right)}^{n} c d g^{6} n^{5} x^{5} e^{3} + 9 \, {\left(g x + f\right)}^{n} c d^{2} g^{6} n^{5} x^{4} e^{2} + 7 \, {\left(g x + f\right)}^{n} c d^{3} g^{6} n^{5} x^{3} e + 2 \, {\left(g x + f\right)}^{n} c d^{4} g^{6} n^{5} x^{2} + {\left(g x + f\right)}^{n} c f g^{5} n^{5} x^{5} e^{4} + 15 \, {\left(g x + f\right)}^{n} c g^{6} n^{4} x^{6} e^{4} + 5 \, {\left(g x + f\right)}^{n} c d f g^{5} n^{5} x^{4} e^{3} + 80 \, {\left(g x + f\right)}^{n} c d g^{6} n^{4} x^{5} e^{3} + 9 \, {\left(g x + f\right)}^{n} c d^{2} f g^{5} n^{5} x^{3} e^{2} + 153 \, {\left(g x + f\right)}^{n} c d^{2} g^{6} n^{4} x^{4} e^{2} + 7 \, {\left(g x + f\right)}^{n} c d^{3} f g^{5} n^{5} x^{2} e + 126 \, {\left(g x + f\right)}^{n} c d^{3} g^{6} n^{4} x^{3} e + 2 \, {\left(g x + f\right)}^{n} c d^{4} f g^{5} n^{5} x + 38 \, {\left(g x + f\right)}^{n} c d^{4} g^{6} n^{4} x^{2} + 10 \, {\left(g x + f\right)}^{n} c f g^{5} n^{4} x^{5} e^{4} + 85 \, {\left(g x + f\right)}^{n} c g^{6} n^{3} x^{6} e^{4} + 60 \, {\left(g x + f\right)}^{n} c d f g^{5} n^{4} x^{4} e^{3} + {\left(g x + f\right)}^{n} a g^{6} n^{5} x^{4} e^{3} + 475 \, {\left(g x + f\right)}^{n} c d g^{6} n^{3} x^{5} e^{3} + 126 \, {\left(g x + f\right)}^{n} c d^{2} f g^{5} n^{4} x^{3} e^{2} + 3 \, {\left(g x + f\right)}^{n} a d g^{6} n^{5} x^{3} e^{2} + 963 \, {\left(g x + f\right)}^{n} c d^{2} g^{6} n^{3} x^{4} e^{2} + 112 \, {\left(g x + f\right)}^{n} c d^{3} f g^{5} n^{4} x^{2} e + 3 \, {\left(g x + f\right)}^{n} a d^{2} g^{6} n^{5} x^{2} e + 847 \, {\left(g x + f\right)}^{n} c d^{3} g^{6} n^{3} x^{3} e + 36 \, {\left(g x + f\right)}^{n} c d^{4} f g^{5} n^{4} x + {\left(g x + f\right)}^{n} a d^{3} g^{6} n^{5} x + 274 \, {\left(g x + f\right)}^{n} c d^{4} g^{6} n^{3} x^{2} - 5 \, {\left(g x + f\right)}^{n} c f^{2} g^{4} n^{4} x^{4} e^{4} + 35 \, {\left(g x + f\right)}^{n} c f g^{5} n^{3} x^{5} e^{4} + 225 \, {\left(g x + f\right)}^{n} c g^{6} n^{2} x^{6} e^{4} - 20 \, {\left(g x + f\right)}^{n} c d f^{2} g^{4} n^{4} x^{3} e^{3} + {\left(g x + f\right)}^{n} a f g^{5} n^{5} x^{3} e^{3} + 235 \, {\left(g x + f\right)}^{n} c d f g^{5} n^{3} x^{4} e^{3} + 17 \, {\left(g x + f\right)}^{n} a g^{6} n^{4} x^{4} e^{3} + 1300 \, {\left(g x + f\right)}^{n} c d g^{6} n^{2} x^{5} e^{3} - 27 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{4} n^{4} x^{2} e^{2} + 3 \, {\left(g x + f\right)}^{n} a d f g^{5} n^{5} x^{2} e^{2} + 585 \, {\left(g x + f\right)}^{n} c d^{2} f g^{5} n^{3} x^{3} e^{2} + 54 \, {\left(g x + f\right)}^{n} a d g^{6} n^{4} x^{3} e^{2} + 2763 \, {\left(g x + f\right)}^{n} c d^{2} g^{6} n^{2} x^{4} e^{2} - 14 \, {\left(g x + f\right)}^{n} c d^{3} f^{2} g^{4} n^{4} x e + 3 \, {\left(g x + f\right)}^{n} a d^{2} f g^{5} n^{5} x e + 623 \, {\left(g x + f\right)}^{n} c d^{3} f g^{5} n^{3} x^{2} e + 57 \, {\left(g x + f\right)}^{n} a d^{2} g^{6} n^{4} x^{2} e + 2604 \, {\left(g x + f\right)}^{n} c d^{3} g^{6} n^{2} x^{3} e - 2 \, {\left(g x + f\right)}^{n} c d^{4} f^{2} g^{4} n^{4} + {\left(g x + f\right)}^{n} a d^{3} f g^{5} n^{5} + 238 \, {\left(g x + f\right)}^{n} c d^{4} f g^{5} n^{3} x + 20 \, {\left(g x + f\right)}^{n} a d^{3} g^{6} n^{4} x + 922 \, {\left(g x + f\right)}^{n} c d^{4} g^{6} n^{2} x^{2} - 30 \, {\left(g x + f\right)}^{n} c f^{2} g^{4} n^{3} x^{4} e^{4} + 50 \, {\left(g x + f\right)}^{n} c f g^{5} n^{2} x^{5} e^{4} + 274 \, {\left(g x + f\right)}^{n} c g^{6} n x^{6} e^{4} - 180 \, {\left(g x + f\right)}^{n} c d f^{2} g^{4} n^{3} x^{3} e^{3} + 14 \, {\left(g x + f\right)}^{n} a f g^{5} n^{4} x^{3} e^{3} + 360 \, {\left(g x + f\right)}^{n} c d f g^{5} n^{2} x^{4} e^{3} + 107 \, {\left(g x + f\right)}^{n} a g^{6} n^{3} x^{4} e^{3} + 1620 \, {\left(g x + f\right)}^{n} c d g^{6} n x^{5} e^{3} - 324 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{4} n^{3} x^{2} e^{2} + 48 \, {\left(g x + f\right)}^{n} a d f g^{5} n^{4} x^{2} e^{2} + 1008 \, {\left(g x + f\right)}^{n} c d^{2} f g^{5} n^{2} x^{3} e^{2} + 363 \, {\left(g x + f\right)}^{n} a d g^{6} n^{3} x^{3} e^{2} + 3564 \, {\left(g x + f\right)}^{n} c d^{2} g^{6} n x^{4} e^{2} - 210 \, {\left(g x + f\right)}^{n} c d^{3} f^{2} g^{4} n^{3} x e + 54 \, {\left(g x + f\right)}^{n} a d^{2} f g^{5} n^{4} x e + 1358 \, {\left(g x + f\right)}^{n} c d^{3} f g^{5} n^{2} x^{2} e + 411 \, {\left(g x + f\right)}^{n} a d^{2} g^{6} n^{3} x^{2} e + 3556 \, {\left(g x + f\right)}^{n} c d^{3} g^{6} n x^{3} e - 36 \, {\left(g x + f\right)}^{n} c d^{4} f^{2} g^{4} n^{3} + 20 \, {\left(g x + f\right)}^{n} a d^{3} f g^{5} n^{4} + 684 \, {\left(g x + f\right)}^{n} c d^{4} f g^{5} n^{2} x + 155 \, {\left(g x + f\right)}^{n} a d^{3} g^{6} n^{3} x + 1404 \, {\left(g x + f\right)}^{n} c d^{4} g^{6} n x^{2} + 20 \, {\left(g x + f\right)}^{n} c f^{3} g^{3} n^{3} x^{3} e^{4} - 55 \, {\left(g x + f\right)}^{n} c f^{2} g^{4} n^{2} x^{4} e^{4} + 24 \, {\left(g x + f\right)}^{n} c f g^{5} n x^{5} e^{4} + 120 \, {\left(g x + f\right)}^{n} c g^{6} x^{6} e^{4} + 60 \, {\left(g x + f\right)}^{n} c d f^{3} g^{3} n^{3} x^{2} e^{3} - 3 \, {\left(g x + f\right)}^{n} a f^{2} g^{4} n^{4} x^{2} e^{3} - 400 \, {\left(g x + f\right)}^{n} c d f^{2} g^{4} n^{2} x^{3} e^{3} + 65 \, {\left(g x + f\right)}^{n} a f g^{5} n^{3} x^{3} e^{3} + 180 \, {\left(g x + f\right)}^{n} c d f g^{5} n x^{4} e^{3} + 307 \, {\left(g x + f\right)}^{n} a g^{6} n^{2} x^{4} e^{3} + 720 \, {\left(g x + f\right)}^{n} c d g^{6} x^{5} e^{3} + 54 \, {\left(g x + f\right)}^{n} c d^{2} f^{3} g^{3} n^{3} x e^{2} - 6 \, {\left(g x + f\right)}^{n} a d f^{2} g^{4} n^{4} x e^{2} - 1107 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{4} n^{2} x^{2} e^{2} + 267 \, {\left(g x + f\right)}^{n} a d f g^{5} n^{3} x^{2} e^{2} + 540 \, {\left(g x + f\right)}^{n} c d^{2} f g^{5} n x^{3} e^{2} + 1116 \, {\left(g x + f\right)}^{n} a d g^{6} n^{2} x^{3} e^{2} + 1620 \, {\left(g x + f\right)}^{n} c d^{2} g^{6} x^{4} e^{2} + 14 \, {\left(g x + f\right)}^{n} c d^{3} f^{3} g^{3} n^{3} e - 3 \, {\left(g x + f\right)}^{n} a d^{2} f^{2} g^{4} n^{4} e - 1036 \, {\left(g x + f\right)}^{n} c d^{3} f^{2} g^{4} n^{2} x e + 357 \, {\left(g x + f\right)}^{n} a d^{2} f g^{5} n^{3} x e + 840 \, {\left(g x + f\right)}^{n} c d^{3} f g^{5} n x^{2} e + 1383 \, {\left(g x + f\right)}^{n} a d^{2} g^{6} n^{2} x^{2} e + 1680 \, {\left(g x + f\right)}^{n} c d^{3} g^{6} x^{3} e - 238 \, {\left(g x + f\right)}^{n} c d^{4} f^{2} g^{4} n^{2} + 155 \, {\left(g x + f\right)}^{n} a d^{3} f g^{5} n^{3} + 720 \, {\left(g x + f\right)}^{n} c d^{4} f g^{5} n x + 580 \, {\left(g x + f\right)}^{n} a d^{3} g^{6} n^{2} x + 720 \, {\left(g x + f\right)}^{n} c d^{4} g^{6} x^{2} + 60 \, {\left(g x + f\right)}^{n} c f^{3} g^{3} n^{2} x^{3} e^{4} - 30 \, {\left(g x + f\right)}^{n} c f^{2} g^{4} n x^{4} e^{4} + 420 \, {\left(g x + f\right)}^{n} c d f^{3} g^{3} n^{2} x^{2} e^{3} - 36 \, {\left(g x + f\right)}^{n} a f^{2} g^{4} n^{3} x^{2} e^{3} - 240 \, {\left(g x + f\right)}^{n} c d f^{2} g^{4} n x^{3} e^{3} + 112 \, {\left(g x + f\right)}^{n} a f g^{5} n^{2} x^{3} e^{3} + 396 \, {\left(g x + f\right)}^{n} a g^{6} n x^{4} e^{3} + 594 \, {\left(g x + f\right)}^{n} c d^{2} f^{3} g^{3} n^{2} x e^{2} - 90 \, {\left(g x + f\right)}^{n} a d f^{2} g^{4} n^{3} x e^{2} - 810 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{4} n x^{2} e^{2} + 582 \, {\left(g x + f\right)}^{n} a d f g^{5} n^{2} x^{2} e^{2} + 1524 \, {\left(g x + f\right)}^{n} a d g^{6} n x^{3} e^{2} + 210 \, {\left(g x + f\right)}^{n} c d^{3} f^{3} g^{3} n^{2} e - 54 \, {\left(g x + f\right)}^{n} a d^{2} f^{2} g^{4} n^{3} e - 1680 \, {\left(g x + f\right)}^{n} c d^{3} f^{2} g^{4} n x e + 1026 \, {\left(g x + f\right)}^{n} a d^{2} f g^{5} n^{2} x e + 2106 \, {\left(g x + f\right)}^{n} a d^{2} g^{6} n x^{2} e - 684 \, {\left(g x + f\right)}^{n} c d^{4} f^{2} g^{4} n + 580 \, {\left(g x + f\right)}^{n} a d^{3} f g^{5} n^{2} + 1044 \, {\left(g x + f\right)}^{n} a d^{3} g^{6} n x - 60 \, {\left(g x + f\right)}^{n} c f^{4} g^{2} n^{2} x^{2} e^{4} + 40 \, {\left(g x + f\right)}^{n} c f^{3} g^{3} n x^{3} e^{4} - 120 \, {\left(g x + f\right)}^{n} c d f^{4} g^{2} n^{2} x e^{3} + 6 \, {\left(g x + f\right)}^{n} a f^{3} g^{3} n^{3} x e^{3} + 360 \, {\left(g x + f\right)}^{n} c d f^{3} g^{3} n x^{2} e^{3} - 123 \, {\left(g x + f\right)}^{n} a f^{2} g^{4} n^{2} x^{2} e^{3} + 60 \, {\left(g x + f\right)}^{n} a f g^{5} n x^{3} e^{3} + 180 \, {\left(g x + f\right)}^{n} a g^{6} x^{4} e^{3} - 54 \, {\left(g x + f\right)}^{n} c d^{2} f^{4} g^{2} n^{2} e^{2} + 6 \, {\left(g x + f\right)}^{n} a d f^{3} g^{3} n^{3} e^{2} + 1620 \, {\left(g x + f\right)}^{n} c d^{2} f^{3} g^{3} n x e^{2} - 444 \, {\left(g x + f\right)}^{n} a d f^{2} g^{4} n^{2} x e^{2} + 360 \, {\left(g x + f\right)}^{n} a d f g^{5} n x^{2} e^{2} + 720 \, {\left(g x + f\right)}^{n} a d g^{6} x^{3} e^{2} + 1036 \, {\left(g x + f\right)}^{n} c d^{3} f^{3} g^{3} n e - 357 \, {\left(g x + f\right)}^{n} a d^{2} f^{2} g^{4} n^{2} e + 1080 \, {\left(g x + f\right)}^{n} a d^{2} f g^{5} n x e + 1080 \, {\left(g x + f\right)}^{n} a d^{2} g^{6} x^{2} e - 720 \, {\left(g x + f\right)}^{n} c d^{4} f^{2} g^{4} + 1044 \, {\left(g x + f\right)}^{n} a d^{3} f g^{5} n + 720 \, {\left(g x + f\right)}^{n} a d^{3} g^{6} x - 60 \, {\left(g x + f\right)}^{n} c f^{4} g^{2} n x^{2} e^{4} - 720 \, {\left(g x + f\right)}^{n} c d f^{4} g^{2} n x e^{3} + 66 \, {\left(g x + f\right)}^{n} a f^{3} g^{3} n^{2} x e^{3} - 90 \, {\left(g x + f\right)}^{n} a f^{2} g^{4} n x^{2} e^{3} - 594 \, {\left(g x + f\right)}^{n} c d^{2} f^{4} g^{2} n e^{2} + 90 \, {\left(g x + f\right)}^{n} a d f^{3} g^{3} n^{2} e^{2} - 720 \, {\left(g x + f\right)}^{n} a d f^{2} g^{4} n x e^{2} + 1680 \, {\left(g x + f\right)}^{n} c d^{3} f^{3} g^{3} e - 1026 \, {\left(g x + f\right)}^{n} a d^{2} f^{2} g^{4} n e + 720 \, {\left(g x + f\right)}^{n} a d^{3} f g^{5} + 120 \, {\left(g x + f\right)}^{n} c f^{5} g n x e^{4} + 120 \, {\left(g x + f\right)}^{n} c d f^{5} g n e^{3} - 6 \, {\left(g x + f\right)}^{n} a f^{4} g^{2} n^{2} e^{3} + 180 \, {\left(g x + f\right)}^{n} a f^{3} g^{3} n x e^{3} - 1620 \, {\left(g x + f\right)}^{n} c d^{2} f^{4} g^{2} e^{2} + 444 \, {\left(g x + f\right)}^{n} a d f^{3} g^{3} n e^{2} - 1080 \, {\left(g x + f\right)}^{n} a d^{2} f^{2} g^{4} e + 720 \, {\left(g x + f\right)}^{n} c d f^{5} g e^{3} - 66 \, {\left(g x + f\right)}^{n} a f^{4} g^{2} n e^{3} + 720 \, {\left(g x + f\right)}^{n} a d f^{3} g^{3} e^{2} - 120 \, {\left(g x + f\right)}^{n} c f^{6} e^{4} - 180 \, {\left(g x + f\right)}^{n} a f^{4} g^{2} e^{3}}{g^{6} n^{6} + 21 \, g^{6} n^{5} + 175 \, g^{6} n^{4} + 735 \, g^{6} n^{3} + 1624 \, g^{6} n^{2} + 1764 \, g^{6} n + 720 \, g^{6}}"," ",0,"((g*x + f)^n*c*g^6*n^5*x^6*e^4 + 5*(g*x + f)^n*c*d*g^6*n^5*x^5*e^3 + 9*(g*x + f)^n*c*d^2*g^6*n^5*x^4*e^2 + 7*(g*x + f)^n*c*d^3*g^6*n^5*x^3*e + 2*(g*x + f)^n*c*d^4*g^6*n^5*x^2 + (g*x + f)^n*c*f*g^5*n^5*x^5*e^4 + 15*(g*x + f)^n*c*g^6*n^4*x^6*e^4 + 5*(g*x + f)^n*c*d*f*g^5*n^5*x^4*e^3 + 80*(g*x + f)^n*c*d*g^6*n^4*x^5*e^3 + 9*(g*x + f)^n*c*d^2*f*g^5*n^5*x^3*e^2 + 153*(g*x + f)^n*c*d^2*g^6*n^4*x^4*e^2 + 7*(g*x + f)^n*c*d^3*f*g^5*n^5*x^2*e + 126*(g*x + f)^n*c*d^3*g^6*n^4*x^3*e + 2*(g*x + f)^n*c*d^4*f*g^5*n^5*x + 38*(g*x + f)^n*c*d^4*g^6*n^4*x^2 + 10*(g*x + f)^n*c*f*g^5*n^4*x^5*e^4 + 85*(g*x + f)^n*c*g^6*n^3*x^6*e^4 + 60*(g*x + f)^n*c*d*f*g^5*n^4*x^4*e^3 + (g*x + f)^n*a*g^6*n^5*x^4*e^3 + 475*(g*x + f)^n*c*d*g^6*n^3*x^5*e^3 + 126*(g*x + f)^n*c*d^2*f*g^5*n^4*x^3*e^2 + 3*(g*x + f)^n*a*d*g^6*n^5*x^3*e^2 + 963*(g*x + f)^n*c*d^2*g^6*n^3*x^4*e^2 + 112*(g*x + f)^n*c*d^3*f*g^5*n^4*x^2*e + 3*(g*x + f)^n*a*d^2*g^6*n^5*x^2*e + 847*(g*x + f)^n*c*d^3*g^6*n^3*x^3*e + 36*(g*x + f)^n*c*d^4*f*g^5*n^4*x + (g*x + f)^n*a*d^3*g^6*n^5*x + 274*(g*x + f)^n*c*d^4*g^6*n^3*x^2 - 5*(g*x + f)^n*c*f^2*g^4*n^4*x^4*e^4 + 35*(g*x + f)^n*c*f*g^5*n^3*x^5*e^4 + 225*(g*x + f)^n*c*g^6*n^2*x^6*e^4 - 20*(g*x + f)^n*c*d*f^2*g^4*n^4*x^3*e^3 + (g*x + f)^n*a*f*g^5*n^5*x^3*e^3 + 235*(g*x + f)^n*c*d*f*g^5*n^3*x^4*e^3 + 17*(g*x + f)^n*a*g^6*n^4*x^4*e^3 + 1300*(g*x + f)^n*c*d*g^6*n^2*x^5*e^3 - 27*(g*x + f)^n*c*d^2*f^2*g^4*n^4*x^2*e^2 + 3*(g*x + f)^n*a*d*f*g^5*n^5*x^2*e^2 + 585*(g*x + f)^n*c*d^2*f*g^5*n^3*x^3*e^2 + 54*(g*x + f)^n*a*d*g^6*n^4*x^3*e^2 + 2763*(g*x + f)^n*c*d^2*g^6*n^2*x^4*e^2 - 14*(g*x + f)^n*c*d^3*f^2*g^4*n^4*x*e + 3*(g*x + f)^n*a*d^2*f*g^5*n^5*x*e + 623*(g*x + f)^n*c*d^3*f*g^5*n^3*x^2*e + 57*(g*x + f)^n*a*d^2*g^6*n^4*x^2*e + 2604*(g*x + f)^n*c*d^3*g^6*n^2*x^3*e - 2*(g*x + f)^n*c*d^4*f^2*g^4*n^4 + (g*x + f)^n*a*d^3*f*g^5*n^5 + 238*(g*x + f)^n*c*d^4*f*g^5*n^3*x + 20*(g*x + f)^n*a*d^3*g^6*n^4*x + 922*(g*x + f)^n*c*d^4*g^6*n^2*x^2 - 30*(g*x + f)^n*c*f^2*g^4*n^3*x^4*e^4 + 50*(g*x + f)^n*c*f*g^5*n^2*x^5*e^4 + 274*(g*x + f)^n*c*g^6*n*x^6*e^4 - 180*(g*x + f)^n*c*d*f^2*g^4*n^3*x^3*e^3 + 14*(g*x + f)^n*a*f*g^5*n^4*x^3*e^3 + 360*(g*x + f)^n*c*d*f*g^5*n^2*x^4*e^3 + 107*(g*x + f)^n*a*g^6*n^3*x^4*e^3 + 1620*(g*x + f)^n*c*d*g^6*n*x^5*e^3 - 324*(g*x + f)^n*c*d^2*f^2*g^4*n^3*x^2*e^2 + 48*(g*x + f)^n*a*d*f*g^5*n^4*x^2*e^2 + 1008*(g*x + f)^n*c*d^2*f*g^5*n^2*x^3*e^2 + 363*(g*x + f)^n*a*d*g^6*n^3*x^3*e^2 + 3564*(g*x + f)^n*c*d^2*g^6*n*x^4*e^2 - 210*(g*x + f)^n*c*d^3*f^2*g^4*n^3*x*e + 54*(g*x + f)^n*a*d^2*f*g^5*n^4*x*e + 1358*(g*x + f)^n*c*d^3*f*g^5*n^2*x^2*e + 411*(g*x + f)^n*a*d^2*g^6*n^3*x^2*e + 3556*(g*x + f)^n*c*d^3*g^6*n*x^3*e - 36*(g*x + f)^n*c*d^4*f^2*g^4*n^3 + 20*(g*x + f)^n*a*d^3*f*g^5*n^4 + 684*(g*x + f)^n*c*d^4*f*g^5*n^2*x + 155*(g*x + f)^n*a*d^3*g^6*n^3*x + 1404*(g*x + f)^n*c*d^4*g^6*n*x^2 + 20*(g*x + f)^n*c*f^3*g^3*n^3*x^3*e^4 - 55*(g*x + f)^n*c*f^2*g^4*n^2*x^4*e^4 + 24*(g*x + f)^n*c*f*g^5*n*x^5*e^4 + 120*(g*x + f)^n*c*g^6*x^6*e^4 + 60*(g*x + f)^n*c*d*f^3*g^3*n^3*x^2*e^3 - 3*(g*x + f)^n*a*f^2*g^4*n^4*x^2*e^3 - 400*(g*x + f)^n*c*d*f^2*g^4*n^2*x^3*e^3 + 65*(g*x + f)^n*a*f*g^5*n^3*x^3*e^3 + 180*(g*x + f)^n*c*d*f*g^5*n*x^4*e^3 + 307*(g*x + f)^n*a*g^6*n^2*x^4*e^3 + 720*(g*x + f)^n*c*d*g^6*x^5*e^3 + 54*(g*x + f)^n*c*d^2*f^3*g^3*n^3*x*e^2 - 6*(g*x + f)^n*a*d*f^2*g^4*n^4*x*e^2 - 1107*(g*x + f)^n*c*d^2*f^2*g^4*n^2*x^2*e^2 + 267*(g*x + f)^n*a*d*f*g^5*n^3*x^2*e^2 + 540*(g*x + f)^n*c*d^2*f*g^5*n*x^3*e^2 + 1116*(g*x + f)^n*a*d*g^6*n^2*x^3*e^2 + 1620*(g*x + f)^n*c*d^2*g^6*x^4*e^2 + 14*(g*x + f)^n*c*d^3*f^3*g^3*n^3*e - 3*(g*x + f)^n*a*d^2*f^2*g^4*n^4*e - 1036*(g*x + f)^n*c*d^3*f^2*g^4*n^2*x*e + 357*(g*x + f)^n*a*d^2*f*g^5*n^3*x*e + 840*(g*x + f)^n*c*d^3*f*g^5*n*x^2*e + 1383*(g*x + f)^n*a*d^2*g^6*n^2*x^2*e + 1680*(g*x + f)^n*c*d^3*g^6*x^3*e - 238*(g*x + f)^n*c*d^4*f^2*g^4*n^2 + 155*(g*x + f)^n*a*d^3*f*g^5*n^3 + 720*(g*x + f)^n*c*d^4*f*g^5*n*x + 580*(g*x + f)^n*a*d^3*g^6*n^2*x + 720*(g*x + f)^n*c*d^4*g^6*x^2 + 60*(g*x + f)^n*c*f^3*g^3*n^2*x^3*e^4 - 30*(g*x + f)^n*c*f^2*g^4*n*x^4*e^4 + 420*(g*x + f)^n*c*d*f^3*g^3*n^2*x^2*e^3 - 36*(g*x + f)^n*a*f^2*g^4*n^3*x^2*e^3 - 240*(g*x + f)^n*c*d*f^2*g^4*n*x^3*e^3 + 112*(g*x + f)^n*a*f*g^5*n^2*x^3*e^3 + 396*(g*x + f)^n*a*g^6*n*x^4*e^3 + 594*(g*x + f)^n*c*d^2*f^3*g^3*n^2*x*e^2 - 90*(g*x + f)^n*a*d*f^2*g^4*n^3*x*e^2 - 810*(g*x + f)^n*c*d^2*f^2*g^4*n*x^2*e^2 + 582*(g*x + f)^n*a*d*f*g^5*n^2*x^2*e^2 + 1524*(g*x + f)^n*a*d*g^6*n*x^3*e^2 + 210*(g*x + f)^n*c*d^3*f^3*g^3*n^2*e - 54*(g*x + f)^n*a*d^2*f^2*g^4*n^3*e - 1680*(g*x + f)^n*c*d^3*f^2*g^4*n*x*e + 1026*(g*x + f)^n*a*d^2*f*g^5*n^2*x*e + 2106*(g*x + f)^n*a*d^2*g^6*n*x^2*e - 684*(g*x + f)^n*c*d^4*f^2*g^4*n + 580*(g*x + f)^n*a*d^3*f*g^5*n^2 + 1044*(g*x + f)^n*a*d^3*g^6*n*x - 60*(g*x + f)^n*c*f^4*g^2*n^2*x^2*e^4 + 40*(g*x + f)^n*c*f^3*g^3*n*x^3*e^4 - 120*(g*x + f)^n*c*d*f^4*g^2*n^2*x*e^3 + 6*(g*x + f)^n*a*f^3*g^3*n^3*x*e^3 + 360*(g*x + f)^n*c*d*f^3*g^3*n*x^2*e^3 - 123*(g*x + f)^n*a*f^2*g^4*n^2*x^2*e^3 + 60*(g*x + f)^n*a*f*g^5*n*x^3*e^3 + 180*(g*x + f)^n*a*g^6*x^4*e^3 - 54*(g*x + f)^n*c*d^2*f^4*g^2*n^2*e^2 + 6*(g*x + f)^n*a*d*f^3*g^3*n^3*e^2 + 1620*(g*x + f)^n*c*d^2*f^3*g^3*n*x*e^2 - 444*(g*x + f)^n*a*d*f^2*g^4*n^2*x*e^2 + 360*(g*x + f)^n*a*d*f*g^5*n*x^2*e^2 + 720*(g*x + f)^n*a*d*g^6*x^3*e^2 + 1036*(g*x + f)^n*c*d^3*f^3*g^3*n*e - 357*(g*x + f)^n*a*d^2*f^2*g^4*n^2*e + 1080*(g*x + f)^n*a*d^2*f*g^5*n*x*e + 1080*(g*x + f)^n*a*d^2*g^6*x^2*e - 720*(g*x + f)^n*c*d^4*f^2*g^4 + 1044*(g*x + f)^n*a*d^3*f*g^5*n + 720*(g*x + f)^n*a*d^3*g^6*x - 60*(g*x + f)^n*c*f^4*g^2*n*x^2*e^4 - 720*(g*x + f)^n*c*d*f^4*g^2*n*x*e^3 + 66*(g*x + f)^n*a*f^3*g^3*n^2*x*e^3 - 90*(g*x + f)^n*a*f^2*g^4*n*x^2*e^3 - 594*(g*x + f)^n*c*d^2*f^4*g^2*n*e^2 + 90*(g*x + f)^n*a*d*f^3*g^3*n^2*e^2 - 720*(g*x + f)^n*a*d*f^2*g^4*n*x*e^2 + 1680*(g*x + f)^n*c*d^3*f^3*g^3*e - 1026*(g*x + f)^n*a*d^2*f^2*g^4*n*e + 720*(g*x + f)^n*a*d^3*f*g^5 + 120*(g*x + f)^n*c*f^5*g*n*x*e^4 + 120*(g*x + f)^n*c*d*f^5*g*n*e^3 - 6*(g*x + f)^n*a*f^4*g^2*n^2*e^3 + 180*(g*x + f)^n*a*f^3*g^3*n*x*e^3 - 1620*(g*x + f)^n*c*d^2*f^4*g^2*e^2 + 444*(g*x + f)^n*a*d*f^3*g^3*n*e^2 - 1080*(g*x + f)^n*a*d^2*f^2*g^4*e + 720*(g*x + f)^n*c*d*f^5*g*e^3 - 66*(g*x + f)^n*a*f^4*g^2*n*e^3 + 720*(g*x + f)^n*a*d*f^3*g^3*e^2 - 120*(g*x + f)^n*c*f^6*e^4 - 180*(g*x + f)^n*a*f^4*g^2*e^3)/(g^6*n^6 + 21*g^6*n^5 + 175*g^6*n^4 + 735*g^6*n^3 + 1624*g^6*n^2 + 1764*g^6*n + 720*g^6)","B",0
806,1,2114,0,0.229797," ","integrate((e*x+d)^2*(g*x+f)^n*(c*e*x^2+2*c*d*x+a),x, algorithm=""giac"")","\frac{{\left(g x + f\right)}^{n} c g^{5} n^{4} x^{5} e^{3} + 4 \, {\left(g x + f\right)}^{n} c d g^{5} n^{4} x^{4} e^{2} + 5 \, {\left(g x + f\right)}^{n} c d^{2} g^{5} n^{4} x^{3} e + 2 \, {\left(g x + f\right)}^{n} c d^{3} g^{5} n^{4} x^{2} + {\left(g x + f\right)}^{n} c f g^{4} n^{4} x^{4} e^{3} + 10 \, {\left(g x + f\right)}^{n} c g^{5} n^{3} x^{5} e^{3} + 4 \, {\left(g x + f\right)}^{n} c d f g^{4} n^{4} x^{3} e^{2} + 44 \, {\left(g x + f\right)}^{n} c d g^{5} n^{3} x^{4} e^{2} + 5 \, {\left(g x + f\right)}^{n} c d^{2} f g^{4} n^{4} x^{2} e + 60 \, {\left(g x + f\right)}^{n} c d^{2} g^{5} n^{3} x^{3} e + 2 \, {\left(g x + f\right)}^{n} c d^{3} f g^{4} n^{4} x + 26 \, {\left(g x + f\right)}^{n} c d^{3} g^{5} n^{3} x^{2} + 6 \, {\left(g x + f\right)}^{n} c f g^{4} n^{3} x^{4} e^{3} + 35 \, {\left(g x + f\right)}^{n} c g^{5} n^{2} x^{5} e^{3} + 32 \, {\left(g x + f\right)}^{n} c d f g^{4} n^{3} x^{3} e^{2} + {\left(g x + f\right)}^{n} a g^{5} n^{4} x^{3} e^{2} + 164 \, {\left(g x + f\right)}^{n} c d g^{5} n^{2} x^{4} e^{2} + 50 \, {\left(g x + f\right)}^{n} c d^{2} f g^{4} n^{3} x^{2} e + 2 \, {\left(g x + f\right)}^{n} a d g^{5} n^{4} x^{2} e + 245 \, {\left(g x + f\right)}^{n} c d^{2} g^{5} n^{2} x^{3} e + 24 \, {\left(g x + f\right)}^{n} c d^{3} f g^{4} n^{3} x + {\left(g x + f\right)}^{n} a d^{2} g^{5} n^{4} x + 118 \, {\left(g x + f\right)}^{n} c d^{3} g^{5} n^{2} x^{2} - 4 \, {\left(g x + f\right)}^{n} c f^{2} g^{3} n^{3} x^{3} e^{3} + 11 \, {\left(g x + f\right)}^{n} c f g^{4} n^{2} x^{4} e^{3} + 50 \, {\left(g x + f\right)}^{n} c g^{5} n x^{5} e^{3} - 12 \, {\left(g x + f\right)}^{n} c d f^{2} g^{3} n^{3} x^{2} e^{2} + {\left(g x + f\right)}^{n} a f g^{4} n^{4} x^{2} e^{2} + 68 \, {\left(g x + f\right)}^{n} c d f g^{4} n^{2} x^{3} e^{2} + 12 \, {\left(g x + f\right)}^{n} a g^{5} n^{3} x^{3} e^{2} + 244 \, {\left(g x + f\right)}^{n} c d g^{5} n x^{4} e^{2} - 10 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{3} n^{3} x e + 2 \, {\left(g x + f\right)}^{n} a d f g^{4} n^{4} x e + 145 \, {\left(g x + f\right)}^{n} c d^{2} f g^{4} n^{2} x^{2} e + 26 \, {\left(g x + f\right)}^{n} a d g^{5} n^{3} x^{2} e + 390 \, {\left(g x + f\right)}^{n} c d^{2} g^{5} n x^{3} e - 2 \, {\left(g x + f\right)}^{n} c d^{3} f^{2} g^{3} n^{3} + {\left(g x + f\right)}^{n} a d^{2} f g^{4} n^{4} + 94 \, {\left(g x + f\right)}^{n} c d^{3} f g^{4} n^{2} x + 14 \, {\left(g x + f\right)}^{n} a d^{2} g^{5} n^{3} x + 214 \, {\left(g x + f\right)}^{n} c d^{3} g^{5} n x^{2} - 12 \, {\left(g x + f\right)}^{n} c f^{2} g^{3} n^{2} x^{3} e^{3} + 6 \, {\left(g x + f\right)}^{n} c f g^{4} n x^{4} e^{3} + 24 \, {\left(g x + f\right)}^{n} c g^{5} x^{5} e^{3} - 72 \, {\left(g x + f\right)}^{n} c d f^{2} g^{3} n^{2} x^{2} e^{2} + 10 \, {\left(g x + f\right)}^{n} a f g^{4} n^{3} x^{2} e^{2} + 40 \, {\left(g x + f\right)}^{n} c d f g^{4} n x^{3} e^{2} + 49 \, {\left(g x + f\right)}^{n} a g^{5} n^{2} x^{3} e^{2} + 120 \, {\left(g x + f\right)}^{n} c d g^{5} x^{4} e^{2} - 90 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{3} n^{2} x e + 24 \, {\left(g x + f\right)}^{n} a d f g^{4} n^{3} x e + 100 \, {\left(g x + f\right)}^{n} c d^{2} f g^{4} n x^{2} e + 118 \, {\left(g x + f\right)}^{n} a d g^{5} n^{2} x^{2} e + 200 \, {\left(g x + f\right)}^{n} c d^{2} g^{5} x^{3} e - 24 \, {\left(g x + f\right)}^{n} c d^{3} f^{2} g^{3} n^{2} + 14 \, {\left(g x + f\right)}^{n} a d^{2} f g^{4} n^{3} + 120 \, {\left(g x + f\right)}^{n} c d^{3} f g^{4} n x + 71 \, {\left(g x + f\right)}^{n} a d^{2} g^{5} n^{2} x + 120 \, {\left(g x + f\right)}^{n} c d^{3} g^{5} x^{2} + 12 \, {\left(g x + f\right)}^{n} c f^{3} g^{2} n^{2} x^{2} e^{3} - 8 \, {\left(g x + f\right)}^{n} c f^{2} g^{3} n x^{3} e^{3} + 24 \, {\left(g x + f\right)}^{n} c d f^{3} g^{2} n^{2} x e^{2} - 2 \, {\left(g x + f\right)}^{n} a f^{2} g^{3} n^{3} x e^{2} - 60 \, {\left(g x + f\right)}^{n} c d f^{2} g^{3} n x^{2} e^{2} + 29 \, {\left(g x + f\right)}^{n} a f g^{4} n^{2} x^{2} e^{2} + 78 \, {\left(g x + f\right)}^{n} a g^{5} n x^{3} e^{2} + 10 \, {\left(g x + f\right)}^{n} c d^{2} f^{3} g^{2} n^{2} e - 2 \, {\left(g x + f\right)}^{n} a d f^{2} g^{3} n^{3} e - 200 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{3} n x e + 94 \, {\left(g x + f\right)}^{n} a d f g^{4} n^{2} x e + 214 \, {\left(g x + f\right)}^{n} a d g^{5} n x^{2} e - 94 \, {\left(g x + f\right)}^{n} c d^{3} f^{2} g^{3} n + 71 \, {\left(g x + f\right)}^{n} a d^{2} f g^{4} n^{2} + 154 \, {\left(g x + f\right)}^{n} a d^{2} g^{5} n x + 12 \, {\left(g x + f\right)}^{n} c f^{3} g^{2} n x^{2} e^{3} + 120 \, {\left(g x + f\right)}^{n} c d f^{3} g^{2} n x e^{2} - 18 \, {\left(g x + f\right)}^{n} a f^{2} g^{3} n^{2} x e^{2} + 20 \, {\left(g x + f\right)}^{n} a f g^{4} n x^{2} e^{2} + 40 \, {\left(g x + f\right)}^{n} a g^{5} x^{3} e^{2} + 90 \, {\left(g x + f\right)}^{n} c d^{2} f^{3} g^{2} n e - 24 \, {\left(g x + f\right)}^{n} a d f^{2} g^{3} n^{2} e + 120 \, {\left(g x + f\right)}^{n} a d f g^{4} n x e + 120 \, {\left(g x + f\right)}^{n} a d g^{5} x^{2} e - 120 \, {\left(g x + f\right)}^{n} c d^{3} f^{2} g^{3} + 154 \, {\left(g x + f\right)}^{n} a d^{2} f g^{4} n + 120 \, {\left(g x + f\right)}^{n} a d^{2} g^{5} x - 24 \, {\left(g x + f\right)}^{n} c f^{4} g n x e^{3} - 24 \, {\left(g x + f\right)}^{n} c d f^{4} g n e^{2} + 2 \, {\left(g x + f\right)}^{n} a f^{3} g^{2} n^{2} e^{2} - 40 \, {\left(g x + f\right)}^{n} a f^{2} g^{3} n x e^{2} + 200 \, {\left(g x + f\right)}^{n} c d^{2} f^{3} g^{2} e - 94 \, {\left(g x + f\right)}^{n} a d f^{2} g^{3} n e + 120 \, {\left(g x + f\right)}^{n} a d^{2} f g^{4} - 120 \, {\left(g x + f\right)}^{n} c d f^{4} g e^{2} + 18 \, {\left(g x + f\right)}^{n} a f^{3} g^{2} n e^{2} - 120 \, {\left(g x + f\right)}^{n} a d f^{2} g^{3} e + 24 \, {\left(g x + f\right)}^{n} c f^{5} e^{3} + 40 \, {\left(g x + f\right)}^{n} a f^{3} g^{2} e^{2}}{g^{5} n^{5} + 15 \, g^{5} n^{4} + 85 \, g^{5} n^{3} + 225 \, g^{5} n^{2} + 274 \, g^{5} n + 120 \, g^{5}}"," ",0,"((g*x + f)^n*c*g^5*n^4*x^5*e^3 + 4*(g*x + f)^n*c*d*g^5*n^4*x^4*e^2 + 5*(g*x + f)^n*c*d^2*g^5*n^4*x^3*e + 2*(g*x + f)^n*c*d^3*g^5*n^4*x^2 + (g*x + f)^n*c*f*g^4*n^4*x^4*e^3 + 10*(g*x + f)^n*c*g^5*n^3*x^5*e^3 + 4*(g*x + f)^n*c*d*f*g^4*n^4*x^3*e^2 + 44*(g*x + f)^n*c*d*g^5*n^3*x^4*e^2 + 5*(g*x + f)^n*c*d^2*f*g^4*n^4*x^2*e + 60*(g*x + f)^n*c*d^2*g^5*n^3*x^3*e + 2*(g*x + f)^n*c*d^3*f*g^4*n^4*x + 26*(g*x + f)^n*c*d^3*g^5*n^3*x^2 + 6*(g*x + f)^n*c*f*g^4*n^3*x^4*e^3 + 35*(g*x + f)^n*c*g^5*n^2*x^5*e^3 + 32*(g*x + f)^n*c*d*f*g^4*n^3*x^3*e^2 + (g*x + f)^n*a*g^5*n^4*x^3*e^2 + 164*(g*x + f)^n*c*d*g^5*n^2*x^4*e^2 + 50*(g*x + f)^n*c*d^2*f*g^4*n^3*x^2*e + 2*(g*x + f)^n*a*d*g^5*n^4*x^2*e + 245*(g*x + f)^n*c*d^2*g^5*n^2*x^3*e + 24*(g*x + f)^n*c*d^3*f*g^4*n^3*x + (g*x + f)^n*a*d^2*g^5*n^4*x + 118*(g*x + f)^n*c*d^3*g^5*n^2*x^2 - 4*(g*x + f)^n*c*f^2*g^3*n^3*x^3*e^3 + 11*(g*x + f)^n*c*f*g^4*n^2*x^4*e^3 + 50*(g*x + f)^n*c*g^5*n*x^5*e^3 - 12*(g*x + f)^n*c*d*f^2*g^3*n^3*x^2*e^2 + (g*x + f)^n*a*f*g^4*n^4*x^2*e^2 + 68*(g*x + f)^n*c*d*f*g^4*n^2*x^3*e^2 + 12*(g*x + f)^n*a*g^5*n^3*x^3*e^2 + 244*(g*x + f)^n*c*d*g^5*n*x^4*e^2 - 10*(g*x + f)^n*c*d^2*f^2*g^3*n^3*x*e + 2*(g*x + f)^n*a*d*f*g^4*n^4*x*e + 145*(g*x + f)^n*c*d^2*f*g^4*n^2*x^2*e + 26*(g*x + f)^n*a*d*g^5*n^3*x^2*e + 390*(g*x + f)^n*c*d^2*g^5*n*x^3*e - 2*(g*x + f)^n*c*d^3*f^2*g^3*n^3 + (g*x + f)^n*a*d^2*f*g^4*n^4 + 94*(g*x + f)^n*c*d^3*f*g^4*n^2*x + 14*(g*x + f)^n*a*d^2*g^5*n^3*x + 214*(g*x + f)^n*c*d^3*g^5*n*x^2 - 12*(g*x + f)^n*c*f^2*g^3*n^2*x^3*e^3 + 6*(g*x + f)^n*c*f*g^4*n*x^4*e^3 + 24*(g*x + f)^n*c*g^5*x^5*e^3 - 72*(g*x + f)^n*c*d*f^2*g^3*n^2*x^2*e^2 + 10*(g*x + f)^n*a*f*g^4*n^3*x^2*e^2 + 40*(g*x + f)^n*c*d*f*g^4*n*x^3*e^2 + 49*(g*x + f)^n*a*g^5*n^2*x^3*e^2 + 120*(g*x + f)^n*c*d*g^5*x^4*e^2 - 90*(g*x + f)^n*c*d^2*f^2*g^3*n^2*x*e + 24*(g*x + f)^n*a*d*f*g^4*n^3*x*e + 100*(g*x + f)^n*c*d^2*f*g^4*n*x^2*e + 118*(g*x + f)^n*a*d*g^5*n^2*x^2*e + 200*(g*x + f)^n*c*d^2*g^5*x^3*e - 24*(g*x + f)^n*c*d^3*f^2*g^3*n^2 + 14*(g*x + f)^n*a*d^2*f*g^4*n^3 + 120*(g*x + f)^n*c*d^3*f*g^4*n*x + 71*(g*x + f)^n*a*d^2*g^5*n^2*x + 120*(g*x + f)^n*c*d^3*g^5*x^2 + 12*(g*x + f)^n*c*f^3*g^2*n^2*x^2*e^3 - 8*(g*x + f)^n*c*f^2*g^3*n*x^3*e^3 + 24*(g*x + f)^n*c*d*f^3*g^2*n^2*x*e^2 - 2*(g*x + f)^n*a*f^2*g^3*n^3*x*e^2 - 60*(g*x + f)^n*c*d*f^2*g^3*n*x^2*e^2 + 29*(g*x + f)^n*a*f*g^4*n^2*x^2*e^2 + 78*(g*x + f)^n*a*g^5*n*x^3*e^2 + 10*(g*x + f)^n*c*d^2*f^3*g^2*n^2*e - 2*(g*x + f)^n*a*d*f^2*g^3*n^3*e - 200*(g*x + f)^n*c*d^2*f^2*g^3*n*x*e + 94*(g*x + f)^n*a*d*f*g^4*n^2*x*e + 214*(g*x + f)^n*a*d*g^5*n*x^2*e - 94*(g*x + f)^n*c*d^3*f^2*g^3*n + 71*(g*x + f)^n*a*d^2*f*g^4*n^2 + 154*(g*x + f)^n*a*d^2*g^5*n*x + 12*(g*x + f)^n*c*f^3*g^2*n*x^2*e^3 + 120*(g*x + f)^n*c*d*f^3*g^2*n*x*e^2 - 18*(g*x + f)^n*a*f^2*g^3*n^2*x*e^2 + 20*(g*x + f)^n*a*f*g^4*n*x^2*e^2 + 40*(g*x + f)^n*a*g^5*x^3*e^2 + 90*(g*x + f)^n*c*d^2*f^3*g^2*n*e - 24*(g*x + f)^n*a*d*f^2*g^3*n^2*e + 120*(g*x + f)^n*a*d*f*g^4*n*x*e + 120*(g*x + f)^n*a*d*g^5*x^2*e - 120*(g*x + f)^n*c*d^3*f^2*g^3 + 154*(g*x + f)^n*a*d^2*f*g^4*n + 120*(g*x + f)^n*a*d^2*g^5*x - 24*(g*x + f)^n*c*f^4*g*n*x*e^3 - 24*(g*x + f)^n*c*d*f^4*g*n*e^2 + 2*(g*x + f)^n*a*f^3*g^2*n^2*e^2 - 40*(g*x + f)^n*a*f^2*g^3*n*x*e^2 + 200*(g*x + f)^n*c*d^2*f^3*g^2*e - 94*(g*x + f)^n*a*d*f^2*g^3*n*e + 120*(g*x + f)^n*a*d^2*f*g^4 - 120*(g*x + f)^n*c*d*f^4*g*e^2 + 18*(g*x + f)^n*a*f^3*g^2*n*e^2 - 120*(g*x + f)^n*a*d*f^2*g^3*e + 24*(g*x + f)^n*c*f^5*e^3 + 40*(g*x + f)^n*a*f^3*g^2*e^2)/(g^5*n^5 + 15*g^5*n^4 + 85*g^5*n^3 + 225*g^5*n^2 + 274*g^5*n + 120*g^5)","B",0
807,1,1018,0,0.387176," ","integrate((e*x+d)*(g*x+f)^n*(c*e*x^2+2*c*d*x+a),x, algorithm=""giac"")","\frac{{\left(g x + f\right)}^{n} c g^{4} n^{3} x^{4} e^{2} + 3 \, {\left(g x + f\right)}^{n} c d g^{4} n^{3} x^{3} e + 2 \, {\left(g x + f\right)}^{n} c d^{2} g^{4} n^{3} x^{2} + {\left(g x + f\right)}^{n} c f g^{3} n^{3} x^{3} e^{2} + 6 \, {\left(g x + f\right)}^{n} c g^{4} n^{2} x^{4} e^{2} + 3 \, {\left(g x + f\right)}^{n} c d f g^{3} n^{3} x^{2} e + 21 \, {\left(g x + f\right)}^{n} c d g^{4} n^{2} x^{3} e + 2 \, {\left(g x + f\right)}^{n} c d^{2} f g^{3} n^{3} x + 16 \, {\left(g x + f\right)}^{n} c d^{2} g^{4} n^{2} x^{2} + 3 \, {\left(g x + f\right)}^{n} c f g^{3} n^{2} x^{3} e^{2} + 11 \, {\left(g x + f\right)}^{n} c g^{4} n x^{4} e^{2} + 15 \, {\left(g x + f\right)}^{n} c d f g^{3} n^{2} x^{2} e + {\left(g x + f\right)}^{n} a g^{4} n^{3} x^{2} e + 42 \, {\left(g x + f\right)}^{n} c d g^{4} n x^{3} e + 14 \, {\left(g x + f\right)}^{n} c d^{2} f g^{3} n^{2} x + {\left(g x + f\right)}^{n} a d g^{4} n^{3} x + 38 \, {\left(g x + f\right)}^{n} c d^{2} g^{4} n x^{2} - 3 \, {\left(g x + f\right)}^{n} c f^{2} g^{2} n^{2} x^{2} e^{2} + 2 \, {\left(g x + f\right)}^{n} c f g^{3} n x^{3} e^{2} + 6 \, {\left(g x + f\right)}^{n} c g^{4} x^{4} e^{2} - 6 \, {\left(g x + f\right)}^{n} c d f^{2} g^{2} n^{2} x e + {\left(g x + f\right)}^{n} a f g^{3} n^{3} x e + 12 \, {\left(g x + f\right)}^{n} c d f g^{3} n x^{2} e + 8 \, {\left(g x + f\right)}^{n} a g^{4} n^{2} x^{2} e + 24 \, {\left(g x + f\right)}^{n} c d g^{4} x^{3} e - 2 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{2} n^{2} + {\left(g x + f\right)}^{n} a d f g^{3} n^{3} + 24 \, {\left(g x + f\right)}^{n} c d^{2} f g^{3} n x + 9 \, {\left(g x + f\right)}^{n} a d g^{4} n^{2} x + 24 \, {\left(g x + f\right)}^{n} c d^{2} g^{4} x^{2} - 3 \, {\left(g x + f\right)}^{n} c f^{2} g^{2} n x^{2} e^{2} - 24 \, {\left(g x + f\right)}^{n} c d f^{2} g^{2} n x e + 7 \, {\left(g x + f\right)}^{n} a f g^{3} n^{2} x e + 19 \, {\left(g x + f\right)}^{n} a g^{4} n x^{2} e - 14 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{2} n + 9 \, {\left(g x + f\right)}^{n} a d f g^{3} n^{2} + 26 \, {\left(g x + f\right)}^{n} a d g^{4} n x + 6 \, {\left(g x + f\right)}^{n} c f^{3} g n x e^{2} + 6 \, {\left(g x + f\right)}^{n} c d f^{3} g n e - {\left(g x + f\right)}^{n} a f^{2} g^{2} n^{2} e + 12 \, {\left(g x + f\right)}^{n} a f g^{3} n x e + 12 \, {\left(g x + f\right)}^{n} a g^{4} x^{2} e - 24 \, {\left(g x + f\right)}^{n} c d^{2} f^{2} g^{2} + 26 \, {\left(g x + f\right)}^{n} a d f g^{3} n + 24 \, {\left(g x + f\right)}^{n} a d g^{4} x + 24 \, {\left(g x + f\right)}^{n} c d f^{3} g e - 7 \, {\left(g x + f\right)}^{n} a f^{2} g^{2} n e + 24 \, {\left(g x + f\right)}^{n} a d f g^{3} - 6 \, {\left(g x + f\right)}^{n} c f^{4} e^{2} - 12 \, {\left(g x + f\right)}^{n} a f^{2} g^{2} e}{g^{4} n^{4} + 10 \, g^{4} n^{3} + 35 \, g^{4} n^{2} + 50 \, g^{4} n + 24 \, g^{4}}"," ",0,"((g*x + f)^n*c*g^4*n^3*x^4*e^2 + 3*(g*x + f)^n*c*d*g^4*n^3*x^3*e + 2*(g*x + f)^n*c*d^2*g^4*n^3*x^2 + (g*x + f)^n*c*f*g^3*n^3*x^3*e^2 + 6*(g*x + f)^n*c*g^4*n^2*x^4*e^2 + 3*(g*x + f)^n*c*d*f*g^3*n^3*x^2*e + 21*(g*x + f)^n*c*d*g^4*n^2*x^3*e + 2*(g*x + f)^n*c*d^2*f*g^3*n^3*x + 16*(g*x + f)^n*c*d^2*g^4*n^2*x^2 + 3*(g*x + f)^n*c*f*g^3*n^2*x^3*e^2 + 11*(g*x + f)^n*c*g^4*n*x^4*e^2 + 15*(g*x + f)^n*c*d*f*g^3*n^2*x^2*e + (g*x + f)^n*a*g^4*n^3*x^2*e + 42*(g*x + f)^n*c*d*g^4*n*x^3*e + 14*(g*x + f)^n*c*d^2*f*g^3*n^2*x + (g*x + f)^n*a*d*g^4*n^3*x + 38*(g*x + f)^n*c*d^2*g^4*n*x^2 - 3*(g*x + f)^n*c*f^2*g^2*n^2*x^2*e^2 + 2*(g*x + f)^n*c*f*g^3*n*x^3*e^2 + 6*(g*x + f)^n*c*g^4*x^4*e^2 - 6*(g*x + f)^n*c*d*f^2*g^2*n^2*x*e + (g*x + f)^n*a*f*g^3*n^3*x*e + 12*(g*x + f)^n*c*d*f*g^3*n*x^2*e + 8*(g*x + f)^n*a*g^4*n^2*x^2*e + 24*(g*x + f)^n*c*d*g^4*x^3*e - 2*(g*x + f)^n*c*d^2*f^2*g^2*n^2 + (g*x + f)^n*a*d*f*g^3*n^3 + 24*(g*x + f)^n*c*d^2*f*g^3*n*x + 9*(g*x + f)^n*a*d*g^4*n^2*x + 24*(g*x + f)^n*c*d^2*g^4*x^2 - 3*(g*x + f)^n*c*f^2*g^2*n*x^2*e^2 - 24*(g*x + f)^n*c*d*f^2*g^2*n*x*e + 7*(g*x + f)^n*a*f*g^3*n^2*x*e + 19*(g*x + f)^n*a*g^4*n*x^2*e - 14*(g*x + f)^n*c*d^2*f^2*g^2*n + 9*(g*x + f)^n*a*d*f*g^3*n^2 + 26*(g*x + f)^n*a*d*g^4*n*x + 6*(g*x + f)^n*c*f^3*g*n*x*e^2 + 6*(g*x + f)^n*c*d*f^3*g*n*e - (g*x + f)^n*a*f^2*g^2*n^2*e + 12*(g*x + f)^n*a*f*g^3*n*x*e + 12*(g*x + f)^n*a*g^4*x^2*e - 24*(g*x + f)^n*c*d^2*f^2*g^2 + 26*(g*x + f)^n*a*d*f*g^3*n + 24*(g*x + f)^n*a*d*g^4*x + 24*(g*x + f)^n*c*d*f^3*g*e - 7*(g*x + f)^n*a*f^2*g^2*n*e + 24*(g*x + f)^n*a*d*f*g^3 - 6*(g*x + f)^n*c*f^4*e^2 - 12*(g*x + f)^n*a*f^2*g^2*e)/(g^4*n^4 + 10*g^4*n^3 + 35*g^4*n^2 + 50*g^4*n + 24*g^4)","B",0
808,1,373,0,0.187871," ","integrate((g*x+f)^n*(c*e*x^2+2*c*d*x+a),x, algorithm=""giac"")","\frac{{\left(g x + f\right)}^{n} c g^{3} n^{2} x^{3} e + 2 \, {\left(g x + f\right)}^{n} c d g^{3} n^{2} x^{2} + {\left(g x + f\right)}^{n} c f g^{2} n^{2} x^{2} e + 3 \, {\left(g x + f\right)}^{n} c g^{3} n x^{3} e + 2 \, {\left(g x + f\right)}^{n} c d f g^{2} n^{2} x + 8 \, {\left(g x + f\right)}^{n} c d g^{3} n x^{2} + {\left(g x + f\right)}^{n} c f g^{2} n x^{2} e + 2 \, {\left(g x + f\right)}^{n} c g^{3} x^{3} e + 6 \, {\left(g x + f\right)}^{n} c d f g^{2} n x + {\left(g x + f\right)}^{n} a g^{3} n^{2} x + 6 \, {\left(g x + f\right)}^{n} c d g^{3} x^{2} - 2 \, {\left(g x + f\right)}^{n} c f^{2} g n x e - 2 \, {\left(g x + f\right)}^{n} c d f^{2} g n + {\left(g x + f\right)}^{n} a f g^{2} n^{2} + 5 \, {\left(g x + f\right)}^{n} a g^{3} n x - 6 \, {\left(g x + f\right)}^{n} c d f^{2} g + 5 \, {\left(g x + f\right)}^{n} a f g^{2} n + 6 \, {\left(g x + f\right)}^{n} a g^{3} x + 2 \, {\left(g x + f\right)}^{n} c f^{3} e + 6 \, {\left(g x + f\right)}^{n} a f g^{2}}{g^{3} n^{3} + 6 \, g^{3} n^{2} + 11 \, g^{3} n + 6 \, g^{3}}"," ",0,"((g*x + f)^n*c*g^3*n^2*x^3*e + 2*(g*x + f)^n*c*d*g^3*n^2*x^2 + (g*x + f)^n*c*f*g^2*n^2*x^2*e + 3*(g*x + f)^n*c*g^3*n*x^3*e + 2*(g*x + f)^n*c*d*f*g^2*n^2*x + 8*(g*x + f)^n*c*d*g^3*n*x^2 + (g*x + f)^n*c*f*g^2*n*x^2*e + 2*(g*x + f)^n*c*g^3*x^3*e + 6*(g*x + f)^n*c*d*f*g^2*n*x + (g*x + f)^n*a*g^3*n^2*x + 6*(g*x + f)^n*c*d*g^3*x^2 - 2*(g*x + f)^n*c*f^2*g*n*x*e - 2*(g*x + f)^n*c*d*f^2*g*n + (g*x + f)^n*a*f*g^2*n^2 + 5*(g*x + f)^n*a*g^3*n*x - 6*(g*x + f)^n*c*d*f^2*g + 5*(g*x + f)^n*a*f*g^2*n + 6*(g*x + f)^n*a*g^3*x + 2*(g*x + f)^n*c*f^3*e + 6*(g*x + f)^n*a*f*g^2)/(g^3*n^3 + 6*g^3*n^2 + 11*g^3*n + 6*g^3)","B",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
814,1,88,0,0.175751," ","integrate((c*x^2+b*x+a)/(e*x+d)/(g*x+f),x, algorithm=""giac"")","\frac{c x e^{\left(-1\right)}}{g} + \frac{{\left(c f^{2} - b f g + a g^{2}\right)} \log\left({\left| g x + f \right|}\right)}{d g^{3} - f g^{2} e} - \frac{{\left(c d^{2} - b d e + a e^{2}\right)} \log\left({\left| x e + d \right|}\right)}{d g e^{2} - f e^{3}}"," ",0,"c*x*e^(-1)/g + (c*f^2 - b*f*g + a*g^2)*log(abs(g*x + f))/(d*g^3 - f*g^2*e) - (c*d^2 - b*d*e + a*e^2)*log(abs(x*e + d))/(d*g*e^2 - f*e^3)","A",0
815,1,281,0,0.169466," ","integrate((c*x^2+b*x+a)^2/(e*x+d)/(g*x+f),x, algorithm=""giac"")","\frac{{\left(c^{2} f^{4} - 2 \, b c f^{3} g + b^{2} f^{2} g^{2} + 2 \, a c f^{2} g^{2} - 2 \, a b f g^{3} + a^{2} g^{4}\right)} \log\left({\left| g x + f \right|}\right)}{d g^{5} - f g^{4} e} - \frac{{\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2} + 2 \, a c d^{2} e^{2} - 2 \, a b d e^{3} + a^{2} e^{4}\right)} \log\left({\left| x e + d \right|}\right)}{d g e^{4} - f e^{5}} + \frac{{\left(2 \, c^{2} g^{2} x^{3} e^{2} - 3 \, c^{2} d g^{2} x^{2} e + 6 \, c^{2} d^{2} g^{2} x - 3 \, c^{2} f g x^{2} e^{2} + 6 \, b c g^{2} x^{2} e^{2} + 6 \, c^{2} d f g x e - 12 \, b c d g^{2} x e + 6 \, c^{2} f^{2} x e^{2} - 12 \, b c f g x e^{2} + 6 \, b^{2} g^{2} x e^{2} + 12 \, a c g^{2} x e^{2}\right)} e^{\left(-3\right)}}{6 \, g^{3}}"," ",0,"(c^2*f^4 - 2*b*c*f^3*g + b^2*f^2*g^2 + 2*a*c*f^2*g^2 - 2*a*b*f*g^3 + a^2*g^4)*log(abs(g*x + f))/(d*g^5 - f*g^4*e) - (c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2 + 2*a*c*d^2*e^2 - 2*a*b*d*e^3 + a^2*e^4)*log(abs(x*e + d))/(d*g*e^4 - f*e^5) + 1/6*(2*c^2*g^2*x^3*e^2 - 3*c^2*d*g^2*x^2*e + 6*c^2*d^2*g^2*x - 3*c^2*f*g*x^2*e^2 + 6*b*c*g^2*x^2*e^2 + 6*c^2*d*f*g*x*e - 12*b*c*d*g^2*x*e + 6*c^2*f^2*x*e^2 - 12*b*c*f*g*x*e^2 + 6*b^2*g^2*x*e^2 + 12*a*c*g^2*x*e^2)*e^(-3)/g^3","A",0
816,1,907,0,0.170770," ","integrate((c*x^2+b*x+a)^3/(e*x+d)/(g*x+f),x, algorithm=""giac"")","\frac{{\left(c^{3} f^{6} - 3 \, b c^{2} f^{5} g + 3 \, b^{2} c f^{4} g^{2} + 3 \, a c^{2} f^{4} g^{2} - b^{3} f^{3} g^{3} - 6 \, a b c f^{3} g^{3} + 3 \, a b^{2} f^{2} g^{4} + 3 \, a^{2} c f^{2} g^{4} - 3 \, a^{2} b f g^{5} + a^{3} g^{6}\right)} \log\left({\left| g x + f \right|}\right)}{d g^{7} - f g^{6} e} - \frac{{\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} + 3 \, a c^{2} d^{4} e^{2} - b^{3} d^{3} e^{3} - 6 \, a b c d^{3} e^{3} + 3 \, a b^{2} d^{2} e^{4} + 3 \, a^{2} c d^{2} e^{4} - 3 \, a^{2} b d e^{5} + a^{3} e^{6}\right)} \log\left({\left| x e + d \right|}\right)}{d g e^{6} - f e^{7}} + \frac{{\left(12 \, c^{3} g^{4} x^{5} e^{4} - 15 \, c^{3} d g^{4} x^{4} e^{3} + 20 \, c^{3} d^{2} g^{4} x^{3} e^{2} - 30 \, c^{3} d^{3} g^{4} x^{2} e + 60 \, c^{3} d^{4} g^{4} x - 15 \, c^{3} f g^{3} x^{4} e^{4} + 45 \, b c^{2} g^{4} x^{4} e^{4} + 20 \, c^{3} d f g^{3} x^{3} e^{3} - 60 \, b c^{2} d g^{4} x^{3} e^{3} - 30 \, c^{3} d^{2} f g^{3} x^{2} e^{2} + 90 \, b c^{2} d^{2} g^{4} x^{2} e^{2} + 60 \, c^{3} d^{3} f g^{3} x e - 180 \, b c^{2} d^{3} g^{4} x e + 20 \, c^{3} f^{2} g^{2} x^{3} e^{4} - 60 \, b c^{2} f g^{3} x^{3} e^{4} + 60 \, b^{2} c g^{4} x^{3} e^{4} + 60 \, a c^{2} g^{4} x^{3} e^{4} - 30 \, c^{3} d f^{2} g^{2} x^{2} e^{3} + 90 \, b c^{2} d f g^{3} x^{2} e^{3} - 90 \, b^{2} c d g^{4} x^{2} e^{3} - 90 \, a c^{2} d g^{4} x^{2} e^{3} + 60 \, c^{3} d^{2} f^{2} g^{2} x e^{2} - 180 \, b c^{2} d^{2} f g^{3} x e^{2} + 180 \, b^{2} c d^{2} g^{4} x e^{2} + 180 \, a c^{2} d^{2} g^{4} x e^{2} - 30 \, c^{3} f^{3} g x^{2} e^{4} + 90 \, b c^{2} f^{2} g^{2} x^{2} e^{4} - 90 \, b^{2} c f g^{3} x^{2} e^{4} - 90 \, a c^{2} f g^{3} x^{2} e^{4} + 30 \, b^{3} g^{4} x^{2} e^{4} + 180 \, a b c g^{4} x^{2} e^{4} + 60 \, c^{3} d f^{3} g x e^{3} - 180 \, b c^{2} d f^{2} g^{2} x e^{3} + 180 \, b^{2} c d f g^{3} x e^{3} + 180 \, a c^{2} d f g^{3} x e^{3} - 60 \, b^{3} d g^{4} x e^{3} - 360 \, a b c d g^{4} x e^{3} + 60 \, c^{3} f^{4} x e^{4} - 180 \, b c^{2} f^{3} g x e^{4} + 180 \, b^{2} c f^{2} g^{2} x e^{4} + 180 \, a c^{2} f^{2} g^{2} x e^{4} - 60 \, b^{3} f g^{3} x e^{4} - 360 \, a b c f g^{3} x e^{4} + 180 \, a b^{2} g^{4} x e^{4} + 180 \, a^{2} c g^{4} x e^{4}\right)} e^{\left(-5\right)}}{60 \, g^{5}}"," ",0,"(c^3*f^6 - 3*b*c^2*f^5*g + 3*b^2*c*f^4*g^2 + 3*a*c^2*f^4*g^2 - b^3*f^3*g^3 - 6*a*b*c*f^3*g^3 + 3*a*b^2*f^2*g^4 + 3*a^2*c*f^2*g^4 - 3*a^2*b*f*g^5 + a^3*g^6)*log(abs(g*x + f))/(d*g^7 - f*g^6*e) - (c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 + 3*a*c^2*d^4*e^2 - b^3*d^3*e^3 - 6*a*b*c*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a^2*c*d^2*e^4 - 3*a^2*b*d*e^5 + a^3*e^6)*log(abs(x*e + d))/(d*g*e^6 - f*e^7) + 1/60*(12*c^3*g^4*x^5*e^4 - 15*c^3*d*g^4*x^4*e^3 + 20*c^3*d^2*g^4*x^3*e^2 - 30*c^3*d^3*g^4*x^2*e + 60*c^3*d^4*g^4*x - 15*c^3*f*g^3*x^4*e^4 + 45*b*c^2*g^4*x^4*e^4 + 20*c^3*d*f*g^3*x^3*e^3 - 60*b*c^2*d*g^4*x^3*e^3 - 30*c^3*d^2*f*g^3*x^2*e^2 + 90*b*c^2*d^2*g^4*x^2*e^2 + 60*c^3*d^3*f*g^3*x*e - 180*b*c^2*d^3*g^4*x*e + 20*c^3*f^2*g^2*x^3*e^4 - 60*b*c^2*f*g^3*x^3*e^4 + 60*b^2*c*g^4*x^3*e^4 + 60*a*c^2*g^4*x^3*e^4 - 30*c^3*d*f^2*g^2*x^2*e^3 + 90*b*c^2*d*f*g^3*x^2*e^3 - 90*b^2*c*d*g^4*x^2*e^3 - 90*a*c^2*d*g^4*x^2*e^3 + 60*c^3*d^2*f^2*g^2*x*e^2 - 180*b*c^2*d^2*f*g^3*x*e^2 + 180*b^2*c*d^2*g^4*x*e^2 + 180*a*c^2*d^2*g^4*x*e^2 - 30*c^3*f^3*g*x^2*e^4 + 90*b*c^2*f^2*g^2*x^2*e^4 - 90*b^2*c*f*g^3*x^2*e^4 - 90*a*c^2*f*g^3*x^2*e^4 + 30*b^3*g^4*x^2*e^4 + 180*a*b*c*g^4*x^2*e^4 + 60*c^3*d*f^3*g*x*e^3 - 180*b*c^2*d*f^2*g^2*x*e^3 + 180*b^2*c*d*f*g^3*x*e^3 + 180*a*c^2*d*f*g^3*x*e^3 - 60*b^3*d*g^4*x*e^3 - 360*a*b*c*d*g^4*x*e^3 + 60*c^3*f^4*x*e^4 - 180*b*c^2*f^3*g*x*e^4 + 180*b^2*c*f^2*g^2*x*e^4 + 180*a*c^2*f^2*g^2*x*e^4 - 60*b^3*f*g^3*x*e^4 - 360*a*b*c*f*g^3*x*e^4 + 180*a*b^2*g^4*x*e^4 + 180*a^2*c*g^4*x*e^4)*e^(-5)/g^5","A",0
817,1,392,0,0.184804," ","integrate(1/(e*x+d)/(g*x+f)/(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{g^{3} \log\left({\left| g x + f \right|}\right)}{c d f^{2} g^{2} - b d f g^{3} + a d g^{4} - c f^{3} g e + b f^{2} g^{2} e - a f g^{3} e} - \frac{{\left(c d g + c f e - b g e\right)} \log\left(c x^{2} + b x + a\right)}{2 \, {\left(c^{2} d^{2} f^{2} - b c d^{2} f g + a c d^{2} g^{2} - b c d f^{2} e + b^{2} d f g e - a b d g^{2} e + a c f^{2} e^{2} - a b f g e^{2} + a^{2} g^{2} e^{2}\right)}} - \frac{e^{3} \log\left({\left| x e + d \right|}\right)}{c d^{3} g e - c d^{2} f e^{2} - b d^{2} g e^{2} + b d f e^{3} + a d g e^{3} - a f e^{4}} + \frac{{\left(2 \, c^{2} d f - b c d g - b c f e + b^{2} g e - 2 \, a c g e\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{{\left(c^{2} d^{2} f^{2} - b c d^{2} f g + a c d^{2} g^{2} - b c d f^{2} e + b^{2} d f g e - a b d g^{2} e + a c f^{2} e^{2} - a b f g e^{2} + a^{2} g^{2} e^{2}\right)} \sqrt{-b^{2} + 4 \, a c}}"," ",0,"g^3*log(abs(g*x + f))/(c*d*f^2*g^2 - b*d*f*g^3 + a*d*g^4 - c*f^3*g*e + b*f^2*g^2*e - a*f*g^3*e) - 1/2*(c*d*g + c*f*e - b*g*e)*log(c*x^2 + b*x + a)/(c^2*d^2*f^2 - b*c*d^2*f*g + a*c*d^2*g^2 - b*c*d*f^2*e + b^2*d*f*g*e - a*b*d*g^2*e + a*c*f^2*e^2 - a*b*f*g*e^2 + a^2*g^2*e^2) - e^3*log(abs(x*e + d))/(c*d^3*g*e - c*d^2*f*e^2 - b*d^2*g*e^2 + b*d*f*e^3 + a*d*g*e^3 - a*f*e^4) + (2*c^2*d*f - b*c*d*g - b*c*f*e + b^2*g*e - 2*a*c*g*e)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/((c^2*d^2*f^2 - b*c*d^2*f*g + a*c*d^2*g^2 - b*c*d*f^2*e + b^2*d*f*g*e - a*b*d*g^2*e + a*c*f^2*e^2 - a*b*f*g*e^2 + a^2*g^2*e^2)*sqrt(-b^2 + 4*a*c))","A",0
818,1,3315,0,0.276377," ","integrate(1/(e*x+d)/(g*x+f)/(c*x^2+b*x+a)^2,x, algorithm=""giac"")","\frac{g^{5} \log\left({\left| g x + f \right|}\right)}{c^{2} d f^{4} g^{2} - 2 \, b c d f^{3} g^{3} + b^{2} d f^{2} g^{4} + 2 \, a c d f^{2} g^{4} - 2 \, a b d f g^{5} + a^{2} d g^{6} - c^{2} f^{5} g e + 2 \, b c f^{4} g^{2} e - b^{2} f^{3} g^{3} e - 2 \, a c f^{3} g^{3} e + 2 \, a b f^{2} g^{4} e - a^{2} f g^{5} e} - \frac{{\left(c^{2} d^{3} g^{3} + c^{2} d^{2} f g^{2} e - 2 \, b c d^{2} g^{3} e + c^{2} d f^{2} g e^{2} - 2 \, b c d f g^{2} e^{2} + b^{2} d g^{3} e^{2} + 2 \, a c d g^{3} e^{2} + c^{2} f^{3} e^{3} - 2 \, b c f^{2} g e^{3} + b^{2} f g^{2} e^{3} + 2 \, a c f g^{2} e^{3} - 2 \, a b g^{3} e^{3}\right)} \log\left(c x^{2} + b x + a\right)}{2 \, {\left(c^{4} d^{4} f^{4} - 2 \, b c^{3} d^{4} f^{3} g + b^{2} c^{2} d^{4} f^{2} g^{2} + 2 \, a c^{3} d^{4} f^{2} g^{2} - 2 \, a b c^{2} d^{4} f g^{3} + a^{2} c^{2} d^{4} g^{4} - 2 \, b c^{3} d^{3} f^{4} e + 4 \, b^{2} c^{2} d^{3} f^{3} g e - 2 \, b^{3} c d^{3} f^{2} g^{2} e - 4 \, a b c^{2} d^{3} f^{2} g^{2} e + 4 \, a b^{2} c d^{3} f g^{3} e - 2 \, a^{2} b c d^{3} g^{4} e + b^{2} c^{2} d^{2} f^{4} e^{2} + 2 \, a c^{3} d^{2} f^{4} e^{2} - 2 \, b^{3} c d^{2} f^{3} g e^{2} - 4 \, a b c^{2} d^{2} f^{3} g e^{2} + b^{4} d^{2} f^{2} g^{2} e^{2} + 4 \, a b^{2} c d^{2} f^{2} g^{2} e^{2} + 4 \, a^{2} c^{2} d^{2} f^{2} g^{2} e^{2} - 2 \, a b^{3} d^{2} f g^{3} e^{2} - 4 \, a^{2} b c d^{2} f g^{3} e^{2} + a^{2} b^{2} d^{2} g^{4} e^{2} + 2 \, a^{3} c d^{2} g^{4} e^{2} - 2 \, a b c^{2} d f^{4} e^{3} + 4 \, a b^{2} c d f^{3} g e^{3} - 2 \, a b^{3} d f^{2} g^{2} e^{3} - 4 \, a^{2} b c d f^{2} g^{2} e^{3} + 4 \, a^{2} b^{2} d f g^{3} e^{3} - 2 \, a^{3} b d g^{4} e^{3} + a^{2} c^{2} f^{4} e^{4} - 2 \, a^{2} b c f^{3} g e^{4} + a^{2} b^{2} f^{2} g^{2} e^{4} + 2 \, a^{3} c f^{2} g^{2} e^{4} - 2 \, a^{3} b f g^{3} e^{4} + a^{4} g^{4} e^{4}\right)}} - \frac{e^{5} \log\left({\left| x e + d \right|}\right)}{c^{2} d^{5} g e - c^{2} d^{4} f e^{2} - 2 \, b c d^{4} g e^{2} + 2 \, b c d^{3} f e^{3} + b^{2} d^{3} g e^{3} + 2 \, a c d^{3} g e^{3} - b^{2} d^{2} f e^{4} - 2 \, a c d^{2} f e^{4} - 2 \, a b d^{2} g e^{4} + 2 \, a b d f e^{5} + a^{2} d g e^{5} - a^{2} f e^{6}} - \frac{{\left(4 \, c^{5} d^{3} f^{3} - 6 \, b c^{4} d^{3} f^{2} g + 12 \, a c^{4} d^{3} f g^{2} + b^{3} c^{2} d^{3} g^{3} - 6 \, a b c^{3} d^{3} g^{3} - 6 \, b c^{4} d^{2} f^{3} e + 8 \, b^{2} c^{3} d^{2} f^{2} g e + 4 \, a c^{4} d^{2} f^{2} g e + b^{3} c^{2} d^{2} f g^{2} e - 22 \, a b c^{3} d^{2} f g^{2} e - 2 \, b^{4} c d^{2} g^{3} e + 12 \, a b^{2} c^{2} d^{2} g^{3} e - 4 \, a^{2} c^{3} d^{2} g^{3} e + 12 \, a c^{4} d f^{3} e^{2} + b^{3} c^{2} d f^{2} g e^{2} - 22 \, a b c^{3} d f^{2} g e^{2} - 2 \, b^{4} c d f g^{2} e^{2} + 12 \, a b^{2} c^{2} d f g^{2} e^{2} + 20 \, a^{2} c^{3} d f g^{2} e^{2} + b^{5} d g^{3} e^{2} - 4 \, a b^{3} c d g^{3} e^{2} - 6 \, a^{2} b c^{2} d g^{3} e^{2} + b^{3} c^{2} f^{3} e^{3} - 6 \, a b c^{3} f^{3} e^{3} - 2 \, b^{4} c f^{2} g e^{3} + 12 \, a b^{2} c^{2} f^{2} g e^{3} - 4 \, a^{2} c^{3} f^{2} g e^{3} + b^{5} f g^{2} e^{3} - 4 \, a b^{3} c f g^{2} e^{3} - 6 \, a^{2} b c^{2} f g^{2} e^{3} - 2 \, a b^{4} g^{3} e^{3} + 12 \, a^{2} b^{2} c g^{3} e^{3} - 12 \, a^{3} c^{2} g^{3} e^{3}\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{{\left(b^{2} c^{4} d^{4} f^{4} - 4 \, a c^{5} d^{4} f^{4} - 2 \, b^{3} c^{3} d^{4} f^{3} g + 8 \, a b c^{4} d^{4} f^{3} g + b^{4} c^{2} d^{4} f^{2} g^{2} - 2 \, a b^{2} c^{3} d^{4} f^{2} g^{2} - 8 \, a^{2} c^{4} d^{4} f^{2} g^{2} - 2 \, a b^{3} c^{2} d^{4} f g^{3} + 8 \, a^{2} b c^{3} d^{4} f g^{3} + a^{2} b^{2} c^{2} d^{4} g^{4} - 4 \, a^{3} c^{3} d^{4} g^{4} - 2 \, b^{3} c^{3} d^{3} f^{4} e + 8 \, a b c^{4} d^{3} f^{4} e + 4 \, b^{4} c^{2} d^{3} f^{3} g e - 16 \, a b^{2} c^{3} d^{3} f^{3} g e - 2 \, b^{5} c d^{3} f^{2} g^{2} e + 4 \, a b^{3} c^{2} d^{3} f^{2} g^{2} e + 16 \, a^{2} b c^{3} d^{3} f^{2} g^{2} e + 4 \, a b^{4} c d^{3} f g^{3} e - 16 \, a^{2} b^{2} c^{2} d^{3} f g^{3} e - 2 \, a^{2} b^{3} c d^{3} g^{4} e + 8 \, a^{3} b c^{2} d^{3} g^{4} e + b^{4} c^{2} d^{2} f^{4} e^{2} - 2 \, a b^{2} c^{3} d^{2} f^{4} e^{2} - 8 \, a^{2} c^{4} d^{2} f^{4} e^{2} - 2 \, b^{5} c d^{2} f^{3} g e^{2} + 4 \, a b^{3} c^{2} d^{2} f^{3} g e^{2} + 16 \, a^{2} b c^{3} d^{2} f^{3} g e^{2} + b^{6} d^{2} f^{2} g^{2} e^{2} - 12 \, a^{2} b^{2} c^{2} d^{2} f^{2} g^{2} e^{2} - 16 \, a^{3} c^{3} d^{2} f^{2} g^{2} e^{2} - 2 \, a b^{5} d^{2} f g^{3} e^{2} + 4 \, a^{2} b^{3} c d^{2} f g^{3} e^{2} + 16 \, a^{3} b c^{2} d^{2} f g^{3} e^{2} + a^{2} b^{4} d^{2} g^{4} e^{2} - 2 \, a^{3} b^{2} c d^{2} g^{4} e^{2} - 8 \, a^{4} c^{2} d^{2} g^{4} e^{2} - 2 \, a b^{3} c^{2} d f^{4} e^{3} + 8 \, a^{2} b c^{3} d f^{4} e^{3} + 4 \, a b^{4} c d f^{3} g e^{3} - 16 \, a^{2} b^{2} c^{2} d f^{3} g e^{3} - 2 \, a b^{5} d f^{2} g^{2} e^{3} + 4 \, a^{2} b^{3} c d f^{2} g^{2} e^{3} + 16 \, a^{3} b c^{2} d f^{2} g^{2} e^{3} + 4 \, a^{2} b^{4} d f g^{3} e^{3} - 16 \, a^{3} b^{2} c d f g^{3} e^{3} - 2 \, a^{3} b^{3} d g^{4} e^{3} + 8 \, a^{4} b c d g^{4} e^{3} + a^{2} b^{2} c^{2} f^{4} e^{4} - 4 \, a^{3} c^{3} f^{4} e^{4} - 2 \, a^{2} b^{3} c f^{3} g e^{4} + 8 \, a^{3} b c^{2} f^{3} g e^{4} + a^{2} b^{4} f^{2} g^{2} e^{4} - 2 \, a^{3} b^{2} c f^{2} g^{2} e^{4} - 8 \, a^{4} c^{2} f^{2} g^{2} e^{4} - 2 \, a^{3} b^{3} f g^{3} e^{4} + 8 \, a^{4} b c f g^{3} e^{4} + a^{4} b^{2} g^{4} e^{4} - 4 \, a^{5} c g^{4} e^{4}\right)} \sqrt{-b^{2} + 4 \, a c}} - \frac{b c^{4} d^{3} f^{3} - 2 \, b^{2} c^{3} d^{3} f^{2} g + 2 \, a c^{4} d^{3} f^{2} g + b^{3} c^{2} d^{3} f g^{2} - a b c^{3} d^{3} f g^{2} - a b^{2} c^{2} d^{3} g^{3} + 2 \, a^{2} c^{3} d^{3} g^{3} - 2 \, b^{2} c^{3} d^{2} f^{3} e + 2 \, a c^{4} d^{2} f^{3} e + 4 \, b^{3} c^{2} d^{2} f^{2} g e - 7 \, a b c^{3} d^{2} f^{2} g e - 2 \, b^{4} c d^{2} f g^{2} e + 3 \, a b^{2} c^{2} d^{2} f g^{2} e + 2 \, a^{2} c^{3} d^{2} f g^{2} e + 2 \, a b^{3} c d^{2} g^{3} e - 5 \, a^{2} b c^{2} d^{2} g^{3} e + b^{3} c^{2} d f^{3} e^{2} - a b c^{3} d f^{3} e^{2} - 2 \, b^{4} c d f^{2} g e^{2} + 3 \, a b^{2} c^{2} d f^{2} g e^{2} + 2 \, a^{2} c^{3} d f^{2} g e^{2} + b^{5} d f g^{2} e^{2} - a b^{3} c d f g^{2} e^{2} - 3 \, a^{2} b c^{2} d f g^{2} e^{2} - a b^{4} d g^{3} e^{2} + 2 \, a^{2} b^{2} c d g^{3} e^{2} + 2 \, a^{3} c^{2} d g^{3} e^{2} - a b^{2} c^{2} f^{3} e^{3} + 2 \, a^{2} c^{3} f^{3} e^{3} + 2 \, a b^{3} c f^{2} g e^{3} - 5 \, a^{2} b c^{2} f^{2} g e^{3} - a b^{4} f g^{2} e^{3} + 2 \, a^{2} b^{2} c f g^{2} e^{3} + 2 \, a^{3} c^{2} f g^{2} e^{3} + a^{2} b^{3} g^{3} e^{3} - 3 \, a^{3} b c g^{3} e^{3} + {\left(2 \, c^{5} d^{3} f^{3} - 3 \, b c^{4} d^{3} f^{2} g + b^{2} c^{3} d^{3} f g^{2} + 2 \, a c^{4} d^{3} f g^{2} - a b c^{3} d^{3} g^{3} - 3 \, b c^{4} d^{2} f^{3} e + 5 \, b^{2} c^{3} d^{2} f^{2} g e - 2 \, a c^{4} d^{2} f^{2} g e - 2 \, b^{3} c^{2} d^{2} f g^{2} e - a b c^{3} d^{2} f g^{2} e + 2 \, a b^{2} c^{2} d^{2} g^{3} e - 2 \, a^{2} c^{3} d^{2} g^{3} e + b^{2} c^{3} d f^{3} e^{2} + 2 \, a c^{4} d f^{3} e^{2} - 2 \, b^{3} c^{2} d f^{2} g e^{2} - a b c^{3} d f^{2} g e^{2} + b^{4} c d f g^{2} e^{2} + 2 \, a^{2} c^{3} d f g^{2} e^{2} - a b^{3} c d g^{3} e^{2} + a^{2} b c^{2} d g^{3} e^{2} - a b c^{3} f^{3} e^{3} + 2 \, a b^{2} c^{2} f^{2} g e^{3} - 2 \, a^{2} c^{3} f^{2} g e^{3} - a b^{3} c f g^{2} e^{3} + a^{2} b c^{2} f g^{2} e^{3} + a^{2} b^{2} c g^{3} e^{3} - 2 \, a^{3} c^{2} g^{3} e^{3}\right)} x}{{\left(c d^{2} - b d e + a e^{2}\right)}^{2} {\left(c f^{2} - b f g + a g^{2}\right)}^{2} {\left(c x^{2} + b x + a\right)} {\left(b^{2} - 4 \, a c\right)}}"," ",0,"g^5*log(abs(g*x + f))/(c^2*d*f^4*g^2 - 2*b*c*d*f^3*g^3 + b^2*d*f^2*g^4 + 2*a*c*d*f^2*g^4 - 2*a*b*d*f*g^5 + a^2*d*g^6 - c^2*f^5*g*e + 2*b*c*f^4*g^2*e - b^2*f^3*g^3*e - 2*a*c*f^3*g^3*e + 2*a*b*f^2*g^4*e - a^2*f*g^5*e) - 1/2*(c^2*d^3*g^3 + c^2*d^2*f*g^2*e - 2*b*c*d^2*g^3*e + c^2*d*f^2*g*e^2 - 2*b*c*d*f*g^2*e^2 + b^2*d*g^3*e^2 + 2*a*c*d*g^3*e^2 + c^2*f^3*e^3 - 2*b*c*f^2*g*e^3 + b^2*f*g^2*e^3 + 2*a*c*f*g^2*e^3 - 2*a*b*g^3*e^3)*log(c*x^2 + b*x + a)/(c^4*d^4*f^4 - 2*b*c^3*d^4*f^3*g + b^2*c^2*d^4*f^2*g^2 + 2*a*c^3*d^4*f^2*g^2 - 2*a*b*c^2*d^4*f*g^3 + a^2*c^2*d^4*g^4 - 2*b*c^3*d^3*f^4*e + 4*b^2*c^2*d^3*f^3*g*e - 2*b^3*c*d^3*f^2*g^2*e - 4*a*b*c^2*d^3*f^2*g^2*e + 4*a*b^2*c*d^3*f*g^3*e - 2*a^2*b*c*d^3*g^4*e + b^2*c^2*d^2*f^4*e^2 + 2*a*c^3*d^2*f^4*e^2 - 2*b^3*c*d^2*f^3*g*e^2 - 4*a*b*c^2*d^2*f^3*g*e^2 + b^4*d^2*f^2*g^2*e^2 + 4*a*b^2*c*d^2*f^2*g^2*e^2 + 4*a^2*c^2*d^2*f^2*g^2*e^2 - 2*a*b^3*d^2*f*g^3*e^2 - 4*a^2*b*c*d^2*f*g^3*e^2 + a^2*b^2*d^2*g^4*e^2 + 2*a^3*c*d^2*g^4*e^2 - 2*a*b*c^2*d*f^4*e^3 + 4*a*b^2*c*d*f^3*g*e^3 - 2*a*b^3*d*f^2*g^2*e^3 - 4*a^2*b*c*d*f^2*g^2*e^3 + 4*a^2*b^2*d*f*g^3*e^3 - 2*a^3*b*d*g^4*e^3 + a^2*c^2*f^4*e^4 - 2*a^2*b*c*f^3*g*e^4 + a^2*b^2*f^2*g^2*e^4 + 2*a^3*c*f^2*g^2*e^4 - 2*a^3*b*f*g^3*e^4 + a^4*g^4*e^4) - e^5*log(abs(x*e + d))/(c^2*d^5*g*e - c^2*d^4*f*e^2 - 2*b*c*d^4*g*e^2 + 2*b*c*d^3*f*e^3 + b^2*d^3*g*e^3 + 2*a*c*d^3*g*e^3 - b^2*d^2*f*e^4 - 2*a*c*d^2*f*e^4 - 2*a*b*d^2*g*e^4 + 2*a*b*d*f*e^5 + a^2*d*g*e^5 - a^2*f*e^6) - (4*c^5*d^3*f^3 - 6*b*c^4*d^3*f^2*g + 12*a*c^4*d^3*f*g^2 + b^3*c^2*d^3*g^3 - 6*a*b*c^3*d^3*g^3 - 6*b*c^4*d^2*f^3*e + 8*b^2*c^3*d^2*f^2*g*e + 4*a*c^4*d^2*f^2*g*e + b^3*c^2*d^2*f*g^2*e - 22*a*b*c^3*d^2*f*g^2*e - 2*b^4*c*d^2*g^3*e + 12*a*b^2*c^2*d^2*g^3*e - 4*a^2*c^3*d^2*g^3*e + 12*a*c^4*d*f^3*e^2 + b^3*c^2*d*f^2*g*e^2 - 22*a*b*c^3*d*f^2*g*e^2 - 2*b^4*c*d*f*g^2*e^2 + 12*a*b^2*c^2*d*f*g^2*e^2 + 20*a^2*c^3*d*f*g^2*e^2 + b^5*d*g^3*e^2 - 4*a*b^3*c*d*g^3*e^2 - 6*a^2*b*c^2*d*g^3*e^2 + b^3*c^2*f^3*e^3 - 6*a*b*c^3*f^3*e^3 - 2*b^4*c*f^2*g*e^3 + 12*a*b^2*c^2*f^2*g*e^3 - 4*a^2*c^3*f^2*g*e^3 + b^5*f*g^2*e^3 - 4*a*b^3*c*f*g^2*e^3 - 6*a^2*b*c^2*f*g^2*e^3 - 2*a*b^4*g^3*e^3 + 12*a^2*b^2*c*g^3*e^3 - 12*a^3*c^2*g^3*e^3)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/((b^2*c^4*d^4*f^4 - 4*a*c^5*d^4*f^4 - 2*b^3*c^3*d^4*f^3*g + 8*a*b*c^4*d^4*f^3*g + b^4*c^2*d^4*f^2*g^2 - 2*a*b^2*c^3*d^4*f^2*g^2 - 8*a^2*c^4*d^4*f^2*g^2 - 2*a*b^3*c^2*d^4*f*g^3 + 8*a^2*b*c^3*d^4*f*g^3 + a^2*b^2*c^2*d^4*g^4 - 4*a^3*c^3*d^4*g^4 - 2*b^3*c^3*d^3*f^4*e + 8*a*b*c^4*d^3*f^4*e + 4*b^4*c^2*d^3*f^3*g*e - 16*a*b^2*c^3*d^3*f^3*g*e - 2*b^5*c*d^3*f^2*g^2*e + 4*a*b^3*c^2*d^3*f^2*g^2*e + 16*a^2*b*c^3*d^3*f^2*g^2*e + 4*a*b^4*c*d^3*f*g^3*e - 16*a^2*b^2*c^2*d^3*f*g^3*e - 2*a^2*b^3*c*d^3*g^4*e + 8*a^3*b*c^2*d^3*g^4*e + b^4*c^2*d^2*f^4*e^2 - 2*a*b^2*c^3*d^2*f^4*e^2 - 8*a^2*c^4*d^2*f^4*e^2 - 2*b^5*c*d^2*f^3*g*e^2 + 4*a*b^3*c^2*d^2*f^3*g*e^2 + 16*a^2*b*c^3*d^2*f^3*g*e^2 + b^6*d^2*f^2*g^2*e^2 - 12*a^2*b^2*c^2*d^2*f^2*g^2*e^2 - 16*a^3*c^3*d^2*f^2*g^2*e^2 - 2*a*b^5*d^2*f*g^3*e^2 + 4*a^2*b^3*c*d^2*f*g^3*e^2 + 16*a^3*b*c^2*d^2*f*g^3*e^2 + a^2*b^4*d^2*g^4*e^2 - 2*a^3*b^2*c*d^2*g^4*e^2 - 8*a^4*c^2*d^2*g^4*e^2 - 2*a*b^3*c^2*d*f^4*e^3 + 8*a^2*b*c^3*d*f^4*e^3 + 4*a*b^4*c*d*f^3*g*e^3 - 16*a^2*b^2*c^2*d*f^3*g*e^3 - 2*a*b^5*d*f^2*g^2*e^3 + 4*a^2*b^3*c*d*f^2*g^2*e^3 + 16*a^3*b*c^2*d*f^2*g^2*e^3 + 4*a^2*b^4*d*f*g^3*e^3 - 16*a^3*b^2*c*d*f*g^3*e^3 - 2*a^3*b^3*d*g^4*e^3 + 8*a^4*b*c*d*g^4*e^3 + a^2*b^2*c^2*f^4*e^4 - 4*a^3*c^3*f^4*e^4 - 2*a^2*b^3*c*f^3*g*e^4 + 8*a^3*b*c^2*f^3*g*e^4 + a^2*b^4*f^2*g^2*e^4 - 2*a^3*b^2*c*f^2*g^2*e^4 - 8*a^4*c^2*f^2*g^2*e^4 - 2*a^3*b^3*f*g^3*e^4 + 8*a^4*b*c*f*g^3*e^4 + a^4*b^2*g^4*e^4 - 4*a^5*c*g^4*e^4)*sqrt(-b^2 + 4*a*c)) - (b*c^4*d^3*f^3 - 2*b^2*c^3*d^3*f^2*g + 2*a*c^4*d^3*f^2*g + b^3*c^2*d^3*f*g^2 - a*b*c^3*d^3*f*g^2 - a*b^2*c^2*d^3*g^3 + 2*a^2*c^3*d^3*g^3 - 2*b^2*c^3*d^2*f^3*e + 2*a*c^4*d^2*f^3*e + 4*b^3*c^2*d^2*f^2*g*e - 7*a*b*c^3*d^2*f^2*g*e - 2*b^4*c*d^2*f*g^2*e + 3*a*b^2*c^2*d^2*f*g^2*e + 2*a^2*c^3*d^2*f*g^2*e + 2*a*b^3*c*d^2*g^3*e - 5*a^2*b*c^2*d^2*g^3*e + b^3*c^2*d*f^3*e^2 - a*b*c^3*d*f^3*e^2 - 2*b^4*c*d*f^2*g*e^2 + 3*a*b^2*c^2*d*f^2*g*e^2 + 2*a^2*c^3*d*f^2*g*e^2 + b^5*d*f*g^2*e^2 - a*b^3*c*d*f*g^2*e^2 - 3*a^2*b*c^2*d*f*g^2*e^2 - a*b^4*d*g^3*e^2 + 2*a^2*b^2*c*d*g^3*e^2 + 2*a^3*c^2*d*g^3*e^2 - a*b^2*c^2*f^3*e^3 + 2*a^2*c^3*f^3*e^3 + 2*a*b^3*c*f^2*g*e^3 - 5*a^2*b*c^2*f^2*g*e^3 - a*b^4*f*g^2*e^3 + 2*a^2*b^2*c*f*g^2*e^3 + 2*a^3*c^2*f*g^2*e^3 + a^2*b^3*g^3*e^3 - 3*a^3*b*c*g^3*e^3 + (2*c^5*d^3*f^3 - 3*b*c^4*d^3*f^2*g + b^2*c^3*d^3*f*g^2 + 2*a*c^4*d^3*f*g^2 - a*b*c^3*d^3*g^3 - 3*b*c^4*d^2*f^3*e + 5*b^2*c^3*d^2*f^2*g*e - 2*a*c^4*d^2*f^2*g*e - 2*b^3*c^2*d^2*f*g^2*e - a*b*c^3*d^2*f*g^2*e + 2*a*b^2*c^2*d^2*g^3*e - 2*a^2*c^3*d^2*g^3*e + b^2*c^3*d*f^3*e^2 + 2*a*c^4*d*f^3*e^2 - 2*b^3*c^2*d*f^2*g*e^2 - a*b*c^3*d*f^2*g*e^2 + b^4*c*d*f*g^2*e^2 + 2*a^2*c^3*d*f*g^2*e^2 - a*b^3*c*d*g^3*e^2 + a^2*b*c^2*d*g^3*e^2 - a*b*c^3*f^3*e^3 + 2*a*b^2*c^2*f^2*g*e^3 - 2*a^2*c^3*f^2*g*e^3 - a*b^3*c*f*g^2*e^3 + a^2*b*c^2*f*g^2*e^3 + a^2*b^2*c*g^3*e^3 - 2*a^3*c^2*g^3*e^3)*x)/((c*d^2 - b*d*e + a*e^2)^2*(c*f^2 - b*f*g + a*g^2)^2*(c*x^2 + b*x + a)*(b^2 - 4*a*c))","B",0
819,1,565,0,0.199743," ","integrate((e*x+d)^3*(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3465 \, \sqrt{g x + f} a d^{3} + \frac{1155 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} b d^{3}}{g} + \frac{3465 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} a d^{2} e}{g} + \frac{231 \, {\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 d^{3}}{g^{2}} + \frac{693 \, {\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)} b d^{2} e}{g^{2}} + \frac{693 \, {\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)} a d e^{2}}{g^{2}} + \frac{297 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} c d^{2} e}{g^{3}} + \frac{297 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} b d e^{2}}{g^{3}} + \frac{99 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} a e^{3}}{g^{3}} + \frac{33 \, {\left(35 \, {\left(g x + f\right)}^{\frac{9}{2}} - 180 \, {\left(g x + f\right)}^{\frac{7}{2}} f + 378 \, {\left(g x + f\right)}^{\frac{5}{2}} f^{2} - 420 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{3} + 315 \, \sqrt{g x + f} f^{4}\right)} c d e^{2}}{g^{4}} + \frac{11 \, {\left(35 \, {\left(g x + f\right)}^{\frac{9}{2}} - 180 \, {\left(g x + f\right)}^{\frac{7}{2}} f + 378 \, {\left(g x + f\right)}^{\frac{5}{2}} f^{2} - 420 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{3} + 315 \, \sqrt{g x + f} f^{4}\right)} b e^{3}}{g^{4}} + \frac{5 \, {\left(63 \, {\left(g x + f\right)}^{\frac{11}{2}} - 385 \, {\left(g x + f\right)}^{\frac{9}{2}} f + 990 \, {\left(g x + f\right)}^{\frac{7}{2}} f^{2} - 1386 \, {\left(g x + f\right)}^{\frac{5}{2}} f^{3} + 1155 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{4} - 693 \, \sqrt{g x + f} f^{5}\right)} c e^{3}}{g^{5}}\right)}}{3465 \, g}"," ",0,"2/3465*(3465*sqrt(g*x + f)*a*d^3 + 1155*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*b*d^3/g + 3465*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*a*d^2*e/g + 231*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*c*d^3/g^2 + 693*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*b*d^2*e/g^2 + 693*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*a*d*e^2/g^2 + 297*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*c*d^2*e/g^3 + 297*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*b*d*e^2/g^3 + 99*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*a*e^3/g^3 + 33*(35*(g*x + f)^(9/2) - 180*(g*x + f)^(7/2)*f + 378*(g*x + f)^(5/2)*f^2 - 420*(g*x + f)^(3/2)*f^3 + 315*sqrt(g*x + f)*f^4)*c*d*e^2/g^4 + 11*(35*(g*x + f)^(9/2) - 180*(g*x + f)^(7/2)*f + 378*(g*x + f)^(5/2)*f^2 - 420*(g*x + f)^(3/2)*f^3 + 315*sqrt(g*x + f)*f^4)*b*e^3/g^4 + 5*(63*(g*x + f)^(11/2) - 385*(g*x + f)^(9/2)*f + 990*(g*x + f)^(7/2)*f^2 - 1386*(g*x + f)^(5/2)*f^3 + 1155*(g*x + f)^(3/2)*f^4 - 693*sqrt(g*x + f)*f^5)*c*e^3/g^5)/g","B",0
820,1,363,0,0.232741," ","integrate((e*x+d)^2*(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(315 \, \sqrt{g x + f} a d^{2} + \frac{105 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} b d^{2}}{g} + \frac{210 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} a d e}{g} + \frac{21 \, {\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 d^{2}}{g^{2}} + \frac{42 \, {\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)} b d e}{g^{2}} + \frac{21 \, {\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)} a e^{2}}{g^{2}} + \frac{18 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} c d e}{g^{3}} + \frac{9 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} b e^{2}}{g^{3}} + \frac{{\left(35 \, {\left(g x + f\right)}^{\frac{9}{2}} - 180 \, {\left(g x + f\right)}^{\frac{7}{2}} f + 378 \, {\left(g x + f\right)}^{\frac{5}{2}} f^{2} - 420 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{3} + 315 \, \sqrt{g x + f} f^{4}\right)} c e^{2}}{g^{4}}\right)}}{315 \, g}"," ",0,"2/315*(315*sqrt(g*x + f)*a*d^2 + 105*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*b*d^2/g + 210*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*a*d*e/g + 21*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*c*d^2/g^2 + 42*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*b*d*e/g^2 + 21*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*a*e^2/g^2 + 18*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*c*d*e/g^3 + 9*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*b*e^2/g^3 + (35*(g*x + f)^(9/2) - 180*(g*x + f)^(7/2)*f + 378*(g*x + f)^(5/2)*f^2 - 420*(g*x + f)^(3/2)*f^3 + 315*sqrt(g*x + f)*f^4)*c*e^2/g^4)/g","A",0
821,1,199,0,0.192101," ","integrate((e*x+d)*(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(105 \, \sqrt{g x + f} a d + \frac{35 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} b d}{g} + \frac{35 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} - 3 \, \sqrt{g x + f} f\right)} a e}{g} + \frac{7 \, {\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 d}{g^{2}} + \frac{7 \, {\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)} b e}{g^{2}} + \frac{3 \, {\left(5 \, {\left(g x + f\right)}^{\frac{7}{2}} - 21 \, {\left(g x + f\right)}^{\frac{5}{2}} f + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} f^{2} - 35 \, \sqrt{g x + f} f^{3}\right)} c e}{g^{3}}\right)}}{105 \, g}"," ",0,"2/105*(105*sqrt(g*x + f)*a*d + 35*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*b*d/g + 35*((g*x + f)^(3/2) - 3*sqrt(g*x + f)*f)*a*e/g + 7*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*c*d/g^2 + 7*(3*(g*x + f)^(5/2) - 10*(g*x + f)^(3/2)*f + 15*sqrt(g*x + f)*f^2)*b*e/g^2 + 3*(5*(g*x + f)^(7/2) - 21*(g*x + f)^(5/2)*f + 35*(g*x + f)^(3/2)*f^2 - 35*sqrt(g*x + f)*f^3)*c*e/g^3)/g","A",0
822,1,77,0,0.171457," ","integrate((c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\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
823,1,128,0,0.166788," ","integrate((c*x^2+b*x+a)/(e*x+d)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(c d^{2} - b d e + a e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right) e^{\left(-2\right)}}{\sqrt{d g e - f e^{2}}} - \frac{2 \, {\left(3 \, \sqrt{g x + f} c d g^{5} e - {\left(g x + f\right)}^{\frac{3}{2}} c g^{4} e^{2} + 3 \, \sqrt{g x + f} c f g^{4} e^{2} - 3 \, \sqrt{g x + f} b g^{5} e^{2}\right)} e^{\left(-3\right)}}{3 \, g^{6}}"," ",0,"2*(c*d^2 - b*d*e + a*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))*e^(-2)/sqrt(d*g*e - f*e^2) - 2/3*(3*sqrt(g*x + f)*c*d*g^5*e - (g*x + f)^(3/2)*c*g^4*e^2 + 3*sqrt(g*x + f)*c*f*g^4*e^2 - 3*sqrt(g*x + f)*b*g^5*e^2)*e^(-3)/g^6","A",0
824,1,175,0,0.181832," ","integrate((c*x^2+b*x+a)/(e*x+d)^2/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{g x + f} c e^{\left(-2\right)}}{g} - \frac{{\left(3 \, c d^{2} g - 4 \, c d f e - b d g e + 2 \, b f e^{2} - a g e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{{\left(d g e^{2} - f e^{3}\right)} \sqrt{d g e - f e^{2}}} + \frac{\sqrt{g x + f} c d^{2} g - \sqrt{g x + f} b d g e + \sqrt{g x + f} a g e^{2}}{{\left(d g e^{2} - f e^{3}\right)} {\left(d g + {\left(g x + f\right)} e - f e\right)}}"," ",0,"2*sqrt(g*x + f)*c*e^(-2)/g - (3*c*d^2*g - 4*c*d*f*e - b*d*g*e + 2*b*f*e^2 - a*g*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/((d*g*e^2 - f*e^3)*sqrt(d*g*e - f*e^2)) + (sqrt(g*x + f)*c*d^2*g - sqrt(g*x + f)*b*d*g*e + sqrt(g*x + f)*a*g*e^2)/((d*g*e^2 - f*e^3)*(d*g + (g*x + f)*e - f*e))","A",0
825,1,373,0,0.199748," ","integrate((c*x^2+b*x+a)/(e*x+d)^3/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{{\left(3 \, c d^{2} g^{2} - 8 \, c d f g e + b d g^{2} e + 8 \, c f^{2} e^{2} - 4 \, b f g e^{2} + 3 \, a g^{2} e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{4 \, {\left(d^{2} g^{2} e^{2} - 2 \, d f g e^{3} + f^{2} e^{4}\right)} \sqrt{d g e - f e^{2}}} - \frac{3 \, \sqrt{g x + f} c d^{3} g^{3} + 5 \, {\left(g x + f\right)}^{\frac{3}{2}} c d^{2} g^{2} e - 11 \, \sqrt{g x + f} c d^{2} f g^{2} e + \sqrt{g x + f} b d^{2} g^{3} e - 8 \, {\left(g x + f\right)}^{\frac{3}{2}} c d f g e^{2} + 8 \, \sqrt{g x + f} c d f^{2} g e^{2} - {\left(g x + f\right)}^{\frac{3}{2}} b d g^{2} e^{2} + 3 \, \sqrt{g x + f} b d f g^{2} e^{2} - 5 \, \sqrt{g x + f} a d g^{3} e^{2} + 4 \, {\left(g x + f\right)}^{\frac{3}{2}} b f g e^{3} - 4 \, \sqrt{g x + f} b f^{2} g e^{3} - 3 \, {\left(g x + f\right)}^{\frac{3}{2}} a g^{2} e^{3} + 5 \, \sqrt{g x + f} a f g^{2} e^{3}}{4 \, {\left(d^{2} g^{2} e^{2} - 2 \, d f g e^{3} + f^{2} e^{4}\right)} {\left(d g + {\left(g x + f\right)} e - f e\right)}^{2}}"," ",0,"1/4*(3*c*d^2*g^2 - 8*c*d*f*g*e + b*d*g^2*e + 8*c*f^2*e^2 - 4*b*f*g*e^2 + 3*a*g^2*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/((d^2*g^2*e^2 - 2*d*f*g*e^3 + f^2*e^4)*sqrt(d*g*e - f*e^2)) - 1/4*(3*sqrt(g*x + f)*c*d^3*g^3 + 5*(g*x + f)^(3/2)*c*d^2*g^2*e - 11*sqrt(g*x + f)*c*d^2*f*g^2*e + sqrt(g*x + f)*b*d^2*g^3*e - 8*(g*x + f)^(3/2)*c*d*f*g*e^2 + 8*sqrt(g*x + f)*c*d*f^2*g*e^2 - (g*x + f)^(3/2)*b*d*g^2*e^2 + 3*sqrt(g*x + f)*b*d*f*g^2*e^2 - 5*sqrt(g*x + f)*a*d*g^3*e^2 + 4*(g*x + f)^(3/2)*b*f*g*e^3 - 4*sqrt(g*x + f)*b*f^2*g*e^3 - 3*(g*x + f)^(3/2)*a*g^2*e^3 + 5*sqrt(g*x + f)*a*f*g^2*e^3)/((d^2*g^2*e^2 - 2*d*f*g*e^3 + f^2*e^4)*(d*g + (g*x + f)*e - f*e)^2)","B",0
826,1,669,0,0.235376," ","integrate((e*x+d)^3*(c*x^2+b*x+a)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{3} f^{2} g^{3} - b d^{3} f g^{4} + a d^{3} g^{5} - 3 \, c d^{2} f^{3} g^{2} e + 3 \, b d^{2} f^{2} g^{3} e - 3 \, a d^{2} f g^{4} e + 3 \, c d f^{4} g e^{2} - 3 \, b d f^{3} g^{2} e^{2} + 3 \, a d f^{2} g^{3} e^{2} - c f^{5} e^{3} + b f^{4} g e^{3} - a f^{3} g^{2} e^{3}\right)}}{\sqrt{g x + f} g^{6}} + \frac{2 \, {\left(105 \, {\left(g x + f\right)}^{\frac{3}{2}} c d^{3} g^{51} - 630 \, \sqrt{g x + f} c d^{3} f g^{51} + 315 \, \sqrt{g x + f} b d^{3} g^{52} + 189 \, {\left(g x + f\right)}^{\frac{5}{2}} c d^{2} g^{50} e - 945 \, {\left(g x + f\right)}^{\frac{3}{2}} c d^{2} f g^{50} e + 2835 \, \sqrt{g x + f} c d^{2} f^{2} g^{50} e + 315 \, {\left(g x + f\right)}^{\frac{3}{2}} b d^{2} g^{51} e - 1890 \, \sqrt{g x + f} b d^{2} f g^{51} e + 945 \, \sqrt{g x + f} a d^{2} g^{52} e + 135 \, {\left(g x + f\right)}^{\frac{7}{2}} c d g^{49} e^{2} - 756 \, {\left(g x + f\right)}^{\frac{5}{2}} c d f g^{49} e^{2} + 1890 \, {\left(g x + f\right)}^{\frac{3}{2}} c d f^{2} g^{49} e^{2} - 3780 \, \sqrt{g x + f} c d f^{3} g^{49} e^{2} + 189 \, {\left(g x + f\right)}^{\frac{5}{2}} b d g^{50} e^{2} - 945 \, {\left(g x + f\right)}^{\frac{3}{2}} b d f g^{50} e^{2} + 2835 \, \sqrt{g x + f} b d f^{2} g^{50} e^{2} + 315 \, {\left(g x + f\right)}^{\frac{3}{2}} a d g^{51} e^{2} - 1890 \, \sqrt{g x + f} a d f g^{51} e^{2} + 35 \, {\left(g x + f\right)}^{\frac{9}{2}} c g^{48} e^{3} - 225 \, {\left(g x + f\right)}^{\frac{7}{2}} c f g^{48} e^{3} + 630 \, {\left(g x + f\right)}^{\frac{5}{2}} c f^{2} g^{48} e^{3} - 1050 \, {\left(g x + f\right)}^{\frac{3}{2}} c f^{3} g^{48} e^{3} + 1575 \, \sqrt{g x + f} c f^{4} g^{48} e^{3} + 45 \, {\left(g x + f\right)}^{\frac{7}{2}} b g^{49} e^{3} - 252 \, {\left(g x + f\right)}^{\frac{5}{2}} b f g^{49} e^{3} + 630 \, {\left(g x + f\right)}^{\frac{3}{2}} b f^{2} g^{49} e^{3} - 1260 \, \sqrt{g x + f} b f^{3} g^{49} e^{3} + 63 \, {\left(g x + f\right)}^{\frac{5}{2}} a g^{50} e^{3} - 315 \, {\left(g x + f\right)}^{\frac{3}{2}} a f g^{50} e^{3} + 945 \, \sqrt{g x + f} a f^{2} g^{50} e^{3}\right)}}{315 \, g^{54}}"," ",0,"-2*(c*d^3*f^2*g^3 - b*d^3*f*g^4 + a*d^3*g^5 - 3*c*d^2*f^3*g^2*e + 3*b*d^2*f^2*g^3*e - 3*a*d^2*f*g^4*e + 3*c*d*f^4*g*e^2 - 3*b*d*f^3*g^2*e^2 + 3*a*d*f^2*g^3*e^2 - c*f^5*e^3 + b*f^4*g*e^3 - a*f^3*g^2*e^3)/(sqrt(g*x + f)*g^6) + 2/315*(105*(g*x + f)^(3/2)*c*d^3*g^51 - 630*sqrt(g*x + f)*c*d^3*f*g^51 + 315*sqrt(g*x + f)*b*d^3*g^52 + 189*(g*x + f)^(5/2)*c*d^2*g^50*e - 945*(g*x + f)^(3/2)*c*d^2*f*g^50*e + 2835*sqrt(g*x + f)*c*d^2*f^2*g^50*e + 315*(g*x + f)^(3/2)*b*d^2*g^51*e - 1890*sqrt(g*x + f)*b*d^2*f*g^51*e + 945*sqrt(g*x + f)*a*d^2*g^52*e + 135*(g*x + f)^(7/2)*c*d*g^49*e^2 - 756*(g*x + f)^(5/2)*c*d*f*g^49*e^2 + 1890*(g*x + f)^(3/2)*c*d*f^2*g^49*e^2 - 3780*sqrt(g*x + f)*c*d*f^3*g^49*e^2 + 189*(g*x + f)^(5/2)*b*d*g^50*e^2 - 945*(g*x + f)^(3/2)*b*d*f*g^50*e^2 + 2835*sqrt(g*x + f)*b*d*f^2*g^50*e^2 + 315*(g*x + f)^(3/2)*a*d*g^51*e^2 - 1890*sqrt(g*x + f)*a*d*f*g^51*e^2 + 35*(g*x + f)^(9/2)*c*g^48*e^3 - 225*(g*x + f)^(7/2)*c*f*g^48*e^3 + 630*(g*x + f)^(5/2)*c*f^2*g^48*e^3 - 1050*(g*x + f)^(3/2)*c*f^3*g^48*e^3 + 1575*sqrt(g*x + f)*c*f^4*g^48*e^3 + 45*(g*x + f)^(7/2)*b*g^49*e^3 - 252*(g*x + f)^(5/2)*b*f*g^49*e^3 + 630*(g*x + f)^(3/2)*b*f^2*g^49*e^3 - 1260*sqrt(g*x + f)*b*f^3*g^49*e^3 + 63*(g*x + f)^(5/2)*a*g^50*e^3 - 315*(g*x + f)^(3/2)*a*f*g^50*e^3 + 945*sqrt(g*x + f)*a*f^2*g^50*e^3)/g^54","B",0
827,1,404,0,0.229526," ","integrate((e*x+d)^2*(c*x^2+b*x+a)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{2} f^{2} g^{2} - b d^{2} f g^{3} + a d^{2} g^{4} - 2 \, c d f^{3} g e + 2 \, b d f^{2} g^{2} e - 2 \, a d f g^{3} e + c f^{4} e^{2} - b f^{3} g e^{2} + a f^{2} g^{2} e^{2}\right)}}{\sqrt{g x + f} g^{5}} + \frac{2 \, {\left(35 \, {\left(g x + f\right)}^{\frac{3}{2}} c d^{2} g^{32} - 210 \, \sqrt{g x + f} c d^{2} f g^{32} + 105 \, \sqrt{g x + f} b d^{2} g^{33} + 42 \, {\left(g x + f\right)}^{\frac{5}{2}} c d g^{31} e - 210 \, {\left(g x + f\right)}^{\frac{3}{2}} c d f g^{31} e + 630 \, \sqrt{g x + f} c d f^{2} g^{31} e + 70 \, {\left(g x + f\right)}^{\frac{3}{2}} b d g^{32} e - 420 \, \sqrt{g x + f} b d f g^{32} e + 210 \, \sqrt{g x + f} a d g^{33} e + 15 \, {\left(g x + f\right)}^{\frac{7}{2}} c g^{30} e^{2} - 84 \, {\left(g x + f\right)}^{\frac{5}{2}} c f g^{30} e^{2} + 210 \, {\left(g x + f\right)}^{\frac{3}{2}} c f^{2} g^{30} e^{2} - 420 \, \sqrt{g x + f} c f^{3} g^{30} e^{2} + 21 \, {\left(g x + f\right)}^{\frac{5}{2}} b g^{31} e^{2} - 105 \, {\left(g x + f\right)}^{\frac{3}{2}} b f g^{31} e^{2} + 315 \, \sqrt{g x + f} b f^{2} g^{31} e^{2} + 35 \, {\left(g x + f\right)}^{\frac{3}{2}} a g^{32} e^{2} - 210 \, \sqrt{g x + f} a f g^{32} e^{2}\right)}}{105 \, g^{35}}"," ",0,"-2*(c*d^2*f^2*g^2 - b*d^2*f*g^3 + a*d^2*g^4 - 2*c*d*f^3*g*e + 2*b*d*f^2*g^2*e - 2*a*d*f*g^3*e + c*f^4*e^2 - b*f^3*g*e^2 + a*f^2*g^2*e^2)/(sqrt(g*x + f)*g^5) + 2/105*(35*(g*x + f)^(3/2)*c*d^2*g^32 - 210*sqrt(g*x + f)*c*d^2*f*g^32 + 105*sqrt(g*x + f)*b*d^2*g^33 + 42*(g*x + f)^(5/2)*c*d*g^31*e - 210*(g*x + f)^(3/2)*c*d*f*g^31*e + 630*sqrt(g*x + f)*c*d*f^2*g^31*e + 70*(g*x + f)^(3/2)*b*d*g^32*e - 420*sqrt(g*x + f)*b*d*f*g^32*e + 210*sqrt(g*x + f)*a*d*g^33*e + 15*(g*x + f)^(7/2)*c*g^30*e^2 - 84*(g*x + f)^(5/2)*c*f*g^30*e^2 + 210*(g*x + f)^(3/2)*c*f^2*g^30*e^2 - 420*sqrt(g*x + f)*c*f^3*g^30*e^2 + 21*(g*x + f)^(5/2)*b*g^31*e^2 - 105*(g*x + f)^(3/2)*b*f*g^31*e^2 + 315*sqrt(g*x + f)*b*f^2*g^31*e^2 + 35*(g*x + f)^(3/2)*a*g^32*e^2 - 210*sqrt(g*x + f)*a*f*g^32*e^2)/g^35","B",0
828,1,204,0,0.180615," ","integrate((e*x+d)*(c*x^2+b*x+a)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c d f^{2} g - b d f g^{2} + a d g^{3} - c f^{3} e + b f^{2} g e - a f g^{2} e\right)}}{\sqrt{g x + f} g^{4}} + \frac{2 \, {\left(5 \, {\left(g x + f\right)}^{\frac{3}{2}} c d g^{17} - 30 \, \sqrt{g x + f} c d f g^{17} + 15 \, \sqrt{g x + f} b d g^{18} + 3 \, {\left(g x + f\right)}^{\frac{5}{2}} c g^{16} e - 15 \, {\left(g x + f\right)}^{\frac{3}{2}} c f g^{16} e + 45 \, \sqrt{g x + f} c f^{2} g^{16} e + 5 \, {\left(g x + f\right)}^{\frac{3}{2}} b g^{17} e - 30 \, \sqrt{g x + f} b f g^{17} e + 15 \, \sqrt{g x + f} a g^{18} e\right)}}{15 \, g^{20}}"," ",0,"-2*(c*d*f^2*g - b*d*f*g^2 + a*d*g^3 - c*f^3*e + b*f^2*g*e - a*f*g^2*e)/(sqrt(g*x + f)*g^4) + 2/15*(5*(g*x + f)^(3/2)*c*d*g^17 - 30*sqrt(g*x + f)*c*d*f*g^17 + 15*sqrt(g*x + f)*b*d*g^18 + 3*(g*x + f)^(5/2)*c*g^16*e - 15*(g*x + f)^(3/2)*c*f*g^16*e + 45*sqrt(g*x + f)*c*f^2*g^16*e + 5*(g*x + f)^(3/2)*b*g^17*e - 30*sqrt(g*x + f)*b*f*g^17*e + 15*sqrt(g*x + f)*a*g^18*e)/g^20","A",0
829,1,74,0,0.153489," ","integrate((c*x^2+b*x+a)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c f^{2} - b f g + a g^{2}\right)}}{\sqrt{g x + f} g^{3}} + \frac{2 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} c g^{6} - 6 \, \sqrt{g x + f} c f g^{6} + 3 \, \sqrt{g x + f} b g^{7}\right)}}{3 \, g^{9}}"," ",0,"-2*(c*f^2 - b*f*g + a*g^2)/(sqrt(g*x + f)*g^3) + 2/3*((g*x + f)^(3/2)*c*g^6 - 6*sqrt(g*x + f)*c*f*g^6 + 3*sqrt(g*x + f)*b*g^7)/g^9","A",0
830,1,112,0,0.254620," ","integrate((c*x^2+b*x+a)/(e*x+d)/(g*x+f)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(c d^{2} - b d e + a e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{{\left(d g e - f e^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, \sqrt{g x + f} c e^{\left(-1\right)}}{g^{2}} - \frac{2 \, {\left(c f^{2} - b f g + a g^{2}\right)}}{{\left(d g^{3} - f g^{2} e\right)} \sqrt{g x + f}}"," ",0,"-2*(c*d^2 - b*d*e + a*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/(d*g*e - f*e^2)^(3/2) + 2*sqrt(g*x + f)*c*e^(-1)/g^2 - 2*(c*f^2 - b*f*g + a*g^2)/((d*g^3 - f*g^2*e)*sqrt(g*x + f))","A",0
831,1,282,0,0.228792," ","integrate((c*x^2+b*x+a)/(e*x+d)^2/(g*x+f)^(3/2),x, algorithm=""giac"")","\frac{{\left(c d^{2} g - 4 \, c d f e + b d g e + 2 \, b f e^{2} - 3 \, a g e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{{\left(d^{2} g^{2} e - 2 \, d f g e^{2} + f^{2} e^{3}\right)} \sqrt{d g e - f e^{2}}} - \frac{{\left(g x + f\right)} c d^{2} g^{2} + 2 \, c d f^{2} g e - {\left(g x + f\right)} b d g^{2} e - 2 \, b d f g^{2} e + 2 \, a d g^{3} e + 2 \, {\left(g x + f\right)} c f^{2} e^{2} - 2 \, c f^{3} e^{2} - 2 \, {\left(g x + f\right)} b f g e^{2} + 2 \, b f^{2} g e^{2} + 3 \, {\left(g x + f\right)} a g^{2} e^{2} - 2 \, a f g^{2} e^{2}}{{\left(d^{2} g^{3} e - 2 \, d f g^{2} e^{2} + f^{2} g e^{3}\right)} {\left(\sqrt{g x + f} d g + {\left(g x + f\right)}^{\frac{3}{2}} e - \sqrt{g x + f} f e\right)}}"," ",0,"(c*d^2*g - 4*c*d*f*e + b*d*g*e + 2*b*f*e^2 - 3*a*g*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/((d^2*g^2*e - 2*d*f*g*e^2 + f^2*e^3)*sqrt(d*g*e - f*e^2)) - ((g*x + f)*c*d^2*g^2 + 2*c*d*f^2*g*e - (g*x + f)*b*d*g^2*e - 2*b*d*f*g^2*e + 2*a*d*g^3*e + 2*(g*x + f)*c*f^2*e^2 - 2*c*f^3*e^2 - 2*(g*x + f)*b*f*g*e^2 + 2*b*f^2*g*e^2 + 3*(g*x + f)*a*g^2*e^2 - 2*a*f*g^2*e^2)/((d^2*g^3*e - 2*d*f*g^2*e^2 + f^2*g*e^3)*(sqrt(g*x + f)*d*g + (g*x + f)^(3/2)*e - sqrt(g*x + f)*f*e))","A",0
832,1,462,0,0.257180," ","integrate((c*x^2+b*x+a)/(e*x+d)^3/(g*x+f)^(3/2),x, algorithm=""giac"")","\frac{{\left(c d^{2} g^{2} - 8 \, c d f g e + 3 \, b d g^{2} e - 8 \, c f^{2} e^{2} + 12 \, b f g e^{2} - 15 \, a g^{2} e^{2}\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right)}{4 \, {\left(d^{3} g^{3} e - 3 \, d^{2} f g^{2} e^{2} + 3 \, d f^{2} g e^{3} - f^{3} e^{4}\right)} \sqrt{d g e - f e^{2}}} - \frac{2 \, {\left(c f^{2} - b f g + a g^{2}\right)}}{{\left(d^{3} g^{3} - 3 \, d^{2} f g^{2} e + 3 \, d f^{2} g e^{2} - f^{3} e^{3}\right)} \sqrt{g x + f}} - \frac{\sqrt{g x + f} c d^{3} g^{3} - {\left(g x + f\right)}^{\frac{3}{2}} c d^{2} g^{2} e + 7 \, \sqrt{g x + f} c d^{2} f g^{2} e - 5 \, \sqrt{g x + f} b d^{2} g^{3} e + 8 \, {\left(g x + f\right)}^{\frac{3}{2}} c d f g e^{2} - 8 \, \sqrt{g x + f} c d f^{2} g e^{2} - 3 \, {\left(g x + f\right)}^{\frac{3}{2}} b d g^{2} e^{2} + \sqrt{g x + f} b d f g^{2} e^{2} + 9 \, \sqrt{g x + f} a d g^{3} e^{2} - 4 \, {\left(g x + f\right)}^{\frac{3}{2}} b f g e^{3} + 4 \, \sqrt{g x + f} b f^{2} g e^{3} + 7 \, {\left(g x + f\right)}^{\frac{3}{2}} a g^{2} e^{3} - 9 \, \sqrt{g x + f} a f g^{2} e^{3}}{4 \, {\left(d^{3} g^{3} e - 3 \, d^{2} f g^{2} e^{2} + 3 \, d f^{2} g e^{3} - f^{3} e^{4}\right)} {\left(d g + {\left(g x + f\right)} e - f e\right)}^{2}}"," ",0,"1/4*(c*d^2*g^2 - 8*c*d*f*g*e + 3*b*d*g^2*e - 8*c*f^2*e^2 + 12*b*f*g*e^2 - 15*a*g^2*e^2)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))/((d^3*g^3*e - 3*d^2*f*g^2*e^2 + 3*d*f^2*g*e^3 - f^3*e^4)*sqrt(d*g*e - f*e^2)) - 2*(c*f^2 - b*f*g + a*g^2)/((d^3*g^3 - 3*d^2*f*g^2*e + 3*d*f^2*g*e^2 - f^3*e^3)*sqrt(g*x + f)) - 1/4*(sqrt(g*x + f)*c*d^3*g^3 - (g*x + f)^(3/2)*c*d^2*g^2*e + 7*sqrt(g*x + f)*c*d^2*f*g^2*e - 5*sqrt(g*x + f)*b*d^2*g^3*e + 8*(g*x + f)^(3/2)*c*d*f*g*e^2 - 8*sqrt(g*x + f)*c*d*f^2*g*e^2 - 3*(g*x + f)^(3/2)*b*d*g^2*e^2 + sqrt(g*x + f)*b*d*f*g^2*e^2 + 9*sqrt(g*x + f)*a*d*g^3*e^2 - 4*(g*x + f)^(3/2)*b*f*g*e^3 + 4*sqrt(g*x + f)*b*f^2*g*e^3 + 7*(g*x + f)^(3/2)*a*g^2*e^3 - 9*sqrt(g*x + f)*a*f*g^2*e^3)/((d^3*g^3*e - 3*d^2*f*g^2*e^2 + 3*d*f^2*g*e^3 - f^3*e^4)*(d*g + (g*x + f)*e - f*e)^2)","B",0
833,1,16,0,0.198483," ","integrate((-1+x)^(1/2)*(1+x)^(1/2)/(-x^2+x+1),x, algorithm=""giac"")","\log\left({\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{2}\right)"," ",0,"log((sqrt(x + 1) - sqrt(x - 1))^2)","A",0
834,1,179,0,0.260502," ","integrate((c*x^2+b*x+a)/(e*x+d)^(1/2)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} \sqrt{x e + d} {\left(\frac{2 \, {\left(x e + d\right)} c e^{\left(-3\right)}}{g} - \frac{{\left(5 \, c d g^{2} e^{5} + 3 \, c f g e^{6} - 4 \, b g^{2} e^{6}\right)} e^{\left(-8\right)}}{g^{3}}\right)} - \frac{{\left(3 \, c d^{2} g^{2} + 2 \, c d f g e - 4 \, b d g^{2} e + 3 \, c f^{2} e^{2} - 4 \, b f g e^{2} + 8 \, a g^{2} e^{2}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} + \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} \right|}\right)}{4 \, g^{\frac{5}{2}}}"," ",0,"1/4*sqrt((x*e + d)*g*e - d*g*e + f*e^2)*sqrt(x*e + d)*(2*(x*e + d)*c*e^(-3)/g - (5*c*d*g^2*e^5 + 3*c*f*g*e^6 - 4*b*g^2*e^6)*e^(-8)/g^3) - 1/4*(3*c*d^2*g^2 + 2*c*d*f*g*e - 4*b*d*g^2*e + 3*c*f^2*e^2 - 4*b*f*g*e^2 + 8*a*g^2*e^2)*e^(-5/2)*log(abs(-sqrt(x*e + d)*sqrt(g)*e^(1/2) + sqrt((x*e + d)*g*e - d*g*e + f*e^2)))/g^(5/2)","A",0
835,1,448,0,0.415495," ","integrate((e*x+d)^(3/2)*(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{1}{192} \, \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} {\left(2 \, {\left(4 \, {\left(x e + d\right)} {\left(\frac{6 \, {\left(x e + d\right)} c e^{\left(-3\right)}}{g} - \frac{{\left(9 \, c d g^{6} e^{6} + 7 \, c f g^{5} e^{7} - 8 \, b g^{6} e^{7}\right)} e^{\left(-9\right)}}{g^{7}}\right)} + \frac{{\left(3 \, c d^{2} g^{6} e^{6} + 10 \, c d f g^{5} e^{7} - 8 \, b d g^{6} e^{7} + 35 \, c f^{2} g^{4} e^{8} - 40 \, b f g^{5} e^{8} + 48 \, a g^{6} e^{8}\right)} e^{\left(-9\right)}}{g^{7}}\right)} {\left(x e + d\right)} + \frac{3 \, {\left(3 \, c d^{3} g^{6} e^{6} + 7 \, c d^{2} f g^{5} e^{7} - 8 \, b d^{2} g^{6} e^{7} + 25 \, c d f^{2} g^{4} e^{8} - 32 \, b d f g^{5} e^{8} + 48 \, a d g^{6} e^{8} - 35 \, c f^{3} g^{3} e^{9} + 40 \, b f^{2} g^{4} e^{9} - 48 \, a f g^{5} e^{9}\right)} e^{\left(-9\right)}}{g^{7}}\right)} \sqrt{x e + d} - \frac{{\left(3 \, c d^{4} g^{4} + 4 \, c d^{3} f g^{3} e - 8 \, b d^{3} g^{4} e + 18 \, c d^{2} f^{2} g^{2} e^{2} - 24 \, b d^{2} f g^{3} e^{2} + 48 \, a d^{2} g^{4} e^{2} - 60 \, c d f^{3} g e^{3} + 72 \, b d f^{2} g^{2} e^{3} - 96 \, a d f g^{3} e^{3} + 35 \, c f^{4} e^{4} - 40 \, b f^{3} g e^{4} + 48 \, a f^{2} g^{2} e^{4}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} + \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} \right|}\right)}{64 \, g^{\frac{9}{2}}}"," ",0,"1/192*sqrt((x*e + d)*g*e - d*g*e + f*e^2)*(2*(4*(x*e + d)*(6*(x*e + d)*c*e^(-3)/g - (9*c*d*g^6*e^6 + 7*c*f*g^5*e^7 - 8*b*g^6*e^7)*e^(-9)/g^7) + (3*c*d^2*g^6*e^6 + 10*c*d*f*g^5*e^7 - 8*b*d*g^6*e^7 + 35*c*f^2*g^4*e^8 - 40*b*f*g^5*e^8 + 48*a*g^6*e^8)*e^(-9)/g^7)*(x*e + d) + 3*(3*c*d^3*g^6*e^6 + 7*c*d^2*f*g^5*e^7 - 8*b*d^2*g^6*e^7 + 25*c*d*f^2*g^4*e^8 - 32*b*d*f*g^5*e^8 + 48*a*d*g^6*e^8 - 35*c*f^3*g^3*e^9 + 40*b*f^2*g^4*e^9 - 48*a*f*g^5*e^9)*e^(-9)/g^7)*sqrt(x*e + d) - 1/64*(3*c*d^4*g^4 + 4*c*d^3*f*g^3*e - 8*b*d^3*g^4*e + 18*c*d^2*f^2*g^2*e^2 - 24*b*d^2*f*g^3*e^2 + 48*a*d^2*g^4*e^2 - 60*c*d*f^3*g*e^3 + 72*b*d*f^2*g^2*e^3 - 96*a*d*f*g^3*e^3 + 35*c*f^4*e^4 - 40*b*f^3*g*e^4 + 48*a*f^2*g^2*e^4)*e^(-5/2)*log(abs(-sqrt(x*e + d)*sqrt(g)*e^(1/2) + sqrt((x*e + d)*g*e - d*g*e + f*e^2)))/g^(9/2)","A",0
836,1,291,0,0.349381," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} {\left(2 \, {\left(x e + d\right)} {\left(\frac{4 \, {\left(x e + d\right)} c e^{\left(-3\right)}}{g} - \frac{{\left(7 \, c d g^{4} e^{6} + 5 \, c f g^{3} e^{7} - 6 \, b g^{4} e^{7}\right)} e^{\left(-9\right)}}{g^{5}}\right)} + \frac{3 \, {\left(c d^{2} g^{4} e^{6} + 2 \, c d f g^{3} e^{7} - 2 \, b d g^{4} e^{7} + 5 \, c f^{2} g^{2} e^{8} - 6 \, b f g^{3} e^{8} + 8 \, a g^{4} e^{8}\right)} e^{\left(-9\right)}}{g^{5}}\right)} \sqrt{x e + d} - \frac{{\left(c d^{3} g^{3} + c d^{2} f g^{2} e - 2 \, b d^{2} g^{3} e + 3 \, c d f^{2} g e^{2} - 4 \, b d f g^{2} e^{2} + 8 \, a d g^{3} e^{2} - 5 \, c f^{3} e^{3} + 6 \, b f^{2} g e^{3} - 8 \, a f g^{2} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} + \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} \right|}\right)}{8 \, g^{\frac{7}{2}}}"," ",0,"1/24*sqrt((x*e + d)*g*e - d*g*e + f*e^2)*(2*(x*e + d)*(4*(x*e + d)*c*e^(-3)/g - (7*c*d*g^4*e^6 + 5*c*f*g^3*e^7 - 6*b*g^4*e^7)*e^(-9)/g^5) + 3*(c*d^2*g^4*e^6 + 2*c*d*f*g^3*e^7 - 2*b*d*g^4*e^7 + 5*c*f^2*g^2*e^8 - 6*b*f*g^3*e^8 + 8*a*g^4*e^8)*e^(-9)/g^5)*sqrt(x*e + d) - 1/8*(c*d^3*g^3 + c*d^2*f*g^2*e - 2*b*d^2*g^3*e + 3*c*d*f^2*g*e^2 - 4*b*d*f*g^2*e^2 + 8*a*d*g^3*e^2 - 5*c*f^3*e^3 + 6*b*f^2*g*e^3 - 8*a*f*g^2*e^3)*e^(-5/2)*log(abs(-sqrt(x*e + d)*sqrt(g)*e^(1/2) + sqrt((x*e + d)*g*e - d*g*e + f*e^2)))/g^(7/2)","A",0
837,1,179,0,0.251882," ","integrate((c*x^2+b*x+a)/(e*x+d)^(1/2)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} \sqrt{x e + d} {\left(\frac{2 \, {\left(x e + d\right)} c e^{\left(-3\right)}}{g} - \frac{{\left(5 \, c d g^{2} e^{5} + 3 \, c f g e^{6} - 4 \, b g^{2} e^{6}\right)} e^{\left(-8\right)}}{g^{3}}\right)} - \frac{{\left(3 \, c d^{2} g^{2} + 2 \, c d f g e - 4 \, b d g^{2} e + 3 \, c f^{2} e^{2} - 4 \, b f g e^{2} + 8 \, a g^{2} e^{2}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} + \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} \right|}\right)}{4 \, g^{\frac{5}{2}}}"," ",0,"1/4*sqrt((x*e + d)*g*e - d*g*e + f*e^2)*sqrt(x*e + d)*(2*(x*e + d)*c*e^(-3)/g - (5*c*d*g^2*e^5 + 3*c*f*g*e^6 - 4*b*g^2*e^6)*e^(-8)/g^3) - 1/4*(3*c*d^2*g^2 + 2*c*d*f*g*e - 4*b*d*g^2*e + 3*c*f^2*e^2 - 4*b*f*g*e^2 + 8*a*g^2*e^2)*e^(-5/2)*log(abs(-sqrt(x*e + d)*sqrt(g)*e^(1/2) + sqrt((x*e + d)*g*e - d*g*e + f*e^2)))/g^(5/2)","A",0
838,1,201,0,0.387241," ","integrate((c*x^2+b*x+a)/(e*x+d)^(3/2)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}} \sqrt{x e + d} c e^{\left(-3\right)}}{g} + \frac{4 \, {\left(c d^{2} \sqrt{g} e^{\frac{1}{2}} - b d \sqrt{g} e^{\frac{3}{2}} + a \sqrt{g} e^{\frac{5}{2}}\right)} e^{\left(-2\right)}}{d g e + {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} - f e^{2}} + \frac{{\left(3 \, c d g^{\frac{3}{2}} e^{\frac{1}{2}} + c f \sqrt{g} e^{\frac{3}{2}} - 2 \, b g^{\frac{3}{2}} e^{\frac{3}{2}}\right)} e^{\left(-3\right)} \log\left({\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2}\right)}{2 \, g^{2}}"," ",0,"sqrt((x*e + d)*g*e - d*g*e + f*e^2)*sqrt(x*e + d)*c*e^(-3)/g + 4*(c*d^2*sqrt(g)*e^(1/2) - b*d*sqrt(g)*e^(3/2) + a*sqrt(g)*e^(5/2))*e^(-2)/(d*g*e + (sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2 - f*e^2) + 1/2*(3*c*d*g^(3/2)*e^(1/2) + c*f*sqrt(g)*e^(3/2) - 2*b*g^(3/2)*e^(3/2))*e^(-3)*log((sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2)/g^2","A",0
839,1,504,0,0.684890," ","integrate((c*x^2+b*x+a)/(e*x+d)^(5/2)/(g*x+f)^(1/2),x, algorithm=""giac"")","-\frac{c e^{\left(-\frac{5}{2}\right)} \log\left({\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2}\right)}{\sqrt{g}} - \frac{4 \, {\left(4 \, c d^{3} g^{\frac{5}{2}} e^{\frac{5}{2}} + 6 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c d^{2} g^{\frac{3}{2}} e^{\frac{3}{2}} + 6 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} c d \sqrt{g} e^{\frac{1}{2}} - 10 \, c d^{2} f g^{\frac{3}{2}} e^{\frac{7}{2}} - b d^{2} g^{\frac{5}{2}} e^{\frac{7}{2}} - 12 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c d f \sqrt{g} e^{\frac{5}{2}} - 3 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} b \sqrt{g} e^{\frac{3}{2}} + 6 \, c d f^{2} \sqrt{g} e^{\frac{9}{2}} + 4 \, b d f g^{\frac{3}{2}} e^{\frac{9}{2}} - 2 \, a d g^{\frac{5}{2}} e^{\frac{9}{2}} + 6 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} b f \sqrt{g} e^{\frac{7}{2}} - 6 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} a g^{\frac{3}{2}} e^{\frac{7}{2}} - 3 \, b f^{2} \sqrt{g} e^{\frac{11}{2}} + 2 \, a f g^{\frac{3}{2}} e^{\frac{11}{2}}\right)} e^{\left(-2\right)}}{3 \, {\left(d g e + {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} - f e^{2}\right)}^{3}}"," ",0,"-c*e^(-5/2)*log((sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2)/sqrt(g) - 4/3*(4*c*d^3*g^(5/2)*e^(5/2) + 6*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*d^2*g^(3/2)*e^(3/2) + 6*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*c*d*sqrt(g)*e^(1/2) - 10*c*d^2*f*g^(3/2)*e^(7/2) - b*d^2*g^(5/2)*e^(7/2) - 12*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*d*f*sqrt(g)*e^(5/2) - 3*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*b*sqrt(g)*e^(3/2) + 6*c*d*f^2*sqrt(g)*e^(9/2) + 4*b*d*f*g^(3/2)*e^(9/2) - 2*a*d*g^(5/2)*e^(9/2) + 6*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*b*f*sqrt(g)*e^(7/2) - 6*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*a*g^(3/2)*e^(7/2) - 3*b*f^2*sqrt(g)*e^(11/2) + 2*a*f*g^(3/2)*e^(11/2))*e^(-2)/(d*g*e + (sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2 - f*e^2)^3","B",0
840,1,1080,0,0.852768," ","integrate((c*x^2+b*x+a)/(e*x+d)^(7/2)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, c d^{4} g^{\frac{9}{2}} e^{\frac{9}{2}} + 30 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} c d^{2} g^{\frac{5}{2}} e^{\frac{5}{2}} + 15 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{8} c \sqrt{g} e^{\frac{1}{2}} - 16 \, c d^{3} f g^{\frac{7}{2}} e^{\frac{11}{2}} + 2 \, b d^{3} g^{\frac{9}{2}} e^{\frac{11}{2}} - 20 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c d^{2} f g^{\frac{5}{2}} e^{\frac{9}{2}} + 10 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} b d^{2} g^{\frac{7}{2}} e^{\frac{9}{2}} - 40 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} c d f g^{\frac{3}{2}} e^{\frac{7}{2}} - 10 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} b d g^{\frac{5}{2}} e^{\frac{7}{2}} - 60 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{6} c f \sqrt{g} e^{\frac{5}{2}} + 30 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{6} b g^{\frac{3}{2}} e^{\frac{5}{2}} + 38 \, c d^{2} f^{2} g^{\frac{5}{2}} e^{\frac{13}{2}} - 14 \, b d^{2} f g^{\frac{7}{2}} e^{\frac{13}{2}} + 8 \, a d^{2} g^{\frac{9}{2}} e^{\frac{13}{2}} + 80 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c d f^{2} g^{\frac{3}{2}} e^{\frac{11}{2}} - 60 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} b d f g^{\frac{5}{2}} e^{\frac{11}{2}} + 40 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} a d g^{\frac{7}{2}} e^{\frac{11}{2}} + 90 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} c f^{2} \sqrt{g} e^{\frac{9}{2}} - 70 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} b f g^{\frac{3}{2}} e^{\frac{9}{2}} + 80 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} a g^{\frac{5}{2}} e^{\frac{9}{2}} - 40 \, c d f^{3} g^{\frac{3}{2}} e^{\frac{15}{2}} + 22 \, b d f^{2} g^{\frac{5}{2}} e^{\frac{15}{2}} - 16 \, a d f g^{\frac{7}{2}} e^{\frac{15}{2}} - 60 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c f^{3} \sqrt{g} e^{\frac{13}{2}} + 50 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} b f^{2} g^{\frac{3}{2}} e^{\frac{13}{2}} - 40 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} a f g^{\frac{5}{2}} e^{\frac{13}{2}} + 15 \, c f^{4} \sqrt{g} e^{\frac{17}{2}} - 10 \, b f^{3} g^{\frac{3}{2}} e^{\frac{17}{2}} + 8 \, a f^{2} g^{\frac{5}{2}} e^{\frac{17}{2}}\right)} e^{\left(-2\right)}}{15 \, {\left(d g e + {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} - f e^{2}\right)}^{5}}"," ",0,"4/15*(3*c*d^4*g^(9/2)*e^(9/2) + 30*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*c*d^2*g^(5/2)*e^(5/2) + 15*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^8*c*sqrt(g)*e^(1/2) - 16*c*d^3*f*g^(7/2)*e^(11/2) + 2*b*d^3*g^(9/2)*e^(11/2) - 20*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*d^2*f*g^(5/2)*e^(9/2) + 10*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*b*d^2*g^(7/2)*e^(9/2) - 40*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*c*d*f*g^(3/2)*e^(7/2) - 10*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*b*d*g^(5/2)*e^(7/2) - 60*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^6*c*f*sqrt(g)*e^(5/2) + 30*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^6*b*g^(3/2)*e^(5/2) + 38*c*d^2*f^2*g^(5/2)*e^(13/2) - 14*b*d^2*f*g^(7/2)*e^(13/2) + 8*a*d^2*g^(9/2)*e^(13/2) + 80*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*d*f^2*g^(3/2)*e^(11/2) - 60*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*b*d*f*g^(5/2)*e^(11/2) + 40*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*a*d*g^(7/2)*e^(11/2) + 90*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*c*f^2*sqrt(g)*e^(9/2) - 70*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*b*f*g^(3/2)*e^(9/2) + 80*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*a*g^(5/2)*e^(9/2) - 40*c*d*f^3*g^(3/2)*e^(15/2) + 22*b*d*f^2*g^(5/2)*e^(15/2) - 16*a*d*f*g^(7/2)*e^(15/2) - 60*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*f^3*sqrt(g)*e^(13/2) + 50*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*b*f^2*g^(3/2)*e^(13/2) - 40*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*a*f*g^(5/2)*e^(13/2) + 15*c*f^4*sqrt(g)*e^(17/2) - 10*b*f^3*g^(3/2)*e^(17/2) + 8*a*f^2*g^(5/2)*e^(17/2))*e^(-2)/(d*g*e + (sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2 - f*e^2)^5","B",0
841,1,1868,0,1.272227," ","integrate((c*x^2+b*x+a)/(e*x+d)^(9/2)/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(3 \, c d^{5} g^{\frac{13}{2}} e^{\frac{11}{2}} + 21 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c d^{4} g^{\frac{11}{2}} e^{\frac{9}{2}} - 42 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} c d^{3} g^{\frac{9}{2}} e^{\frac{7}{2}} + 210 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{6} c d^{2} g^{\frac{7}{2}} e^{\frac{5}{2}} - 105 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{8} c d g^{\frac{5}{2}} e^{\frac{3}{2}} + 105 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{10} c g^{\frac{3}{2}} e^{\frac{1}{2}} - 23 \, c d^{4} f g^{\frac{11}{2}} e^{\frac{13}{2}} + 4 \, b d^{4} g^{\frac{13}{2}} e^{\frac{13}{2}} - 140 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c d^{3} f g^{\frac{9}{2}} e^{\frac{11}{2}} + 28 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} b d^{3} g^{\frac{11}{2}} e^{\frac{11}{2}} - 42 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} c d^{2} f g^{\frac{7}{2}} e^{\frac{9}{2}} + 84 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} b d^{2} g^{\frac{9}{2}} e^{\frac{9}{2}} - 140 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{6} c d f g^{\frac{5}{2}} e^{\frac{7}{2}} - 140 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{6} b d g^{\frac{7}{2}} e^{\frac{7}{2}} - 455 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{8} c f g^{\frac{3}{2}} e^{\frac{5}{2}} + 280 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{8} b g^{\frac{5}{2}} e^{\frac{5}{2}} + 86 \, c d^{3} f^{2} g^{\frac{9}{2}} e^{\frac{15}{2}} - 40 \, b d^{3} f g^{\frac{11}{2}} e^{\frac{15}{2}} + 24 \, a d^{3} g^{\frac{13}{2}} e^{\frac{15}{2}} + 462 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c d^{2} f^{2} g^{\frac{7}{2}} e^{\frac{13}{2}} - 252 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} b d^{2} f g^{\frac{9}{2}} e^{\frac{13}{2}} + 168 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} a d^{2} g^{\frac{11}{2}} e^{\frac{13}{2}} + 714 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} c d f^{2} g^{\frac{5}{2}} e^{\frac{11}{2}} - 672 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} b d f g^{\frac{7}{2}} e^{\frac{11}{2}} + 504 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} a d g^{\frac{9}{2}} e^{\frac{11}{2}} + 770 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{6} c f^{2} g^{\frac{3}{2}} e^{\frac{9}{2}} - 700 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{6} b f g^{\frac{5}{2}} e^{\frac{9}{2}} + 840 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{6} a g^{\frac{7}{2}} e^{\frac{9}{2}} - 150 \, c d^{2} f^{3} g^{\frac{7}{2}} e^{\frac{17}{2}} + 96 \, b d^{2} f^{2} g^{\frac{9}{2}} e^{\frac{17}{2}} - 72 \, a d^{2} f g^{\frac{11}{2}} e^{\frac{17}{2}} - 588 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c d f^{3} g^{\frac{5}{2}} e^{\frac{15}{2}} + 420 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} b d f^{2} g^{\frac{7}{2}} e^{\frac{15}{2}} - 336 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} a d f g^{\frac{9}{2}} e^{\frac{15}{2}} - 630 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} c f^{3} g^{\frac{3}{2}} e^{\frac{13}{2}} + 588 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} b f^{2} g^{\frac{5}{2}} e^{\frac{13}{2}} - 504 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{4} a f g^{\frac{7}{2}} e^{\frac{13}{2}} + 119 \, c d f^{4} g^{\frac{5}{2}} e^{\frac{19}{2}} - 88 \, b d f^{3} g^{\frac{7}{2}} e^{\frac{19}{2}} + 72 \, a d f^{2} g^{\frac{9}{2}} e^{\frac{19}{2}} + 245 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} c f^{4} g^{\frac{3}{2}} e^{\frac{17}{2}} - 196 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} b f^{3} g^{\frac{5}{2}} e^{\frac{17}{2}} + 168 \, {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} a f^{2} g^{\frac{7}{2}} e^{\frac{17}{2}} - 35 \, c f^{5} g^{\frac{3}{2}} e^{\frac{21}{2}} + 28 \, b f^{4} g^{\frac{5}{2}} e^{\frac{21}{2}} - 24 \, a f^{3} g^{\frac{7}{2}} e^{\frac{21}{2}}\right)} e^{\left(-1\right)}}{105 \, {\left(d g e + {\left(\sqrt{x e + d} \sqrt{g} e^{\frac{1}{2}} - \sqrt{{\left(x e + d\right)} g e - d g e + f e^{2}}\right)}^{2} - f e^{2}\right)}^{7}}"," ",0,"8/105*(3*c*d^5*g^(13/2)*e^(11/2) + 21*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*d^4*g^(11/2)*e^(9/2) - 42*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*c*d^3*g^(9/2)*e^(7/2) + 210*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^6*c*d^2*g^(7/2)*e^(5/2) - 105*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^8*c*d*g^(5/2)*e^(3/2) + 105*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^10*c*g^(3/2)*e^(1/2) - 23*c*d^4*f*g^(11/2)*e^(13/2) + 4*b*d^4*g^(13/2)*e^(13/2) - 140*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*d^3*f*g^(9/2)*e^(11/2) + 28*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*b*d^3*g^(11/2)*e^(11/2) - 42*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*c*d^2*f*g^(7/2)*e^(9/2) + 84*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*b*d^2*g^(9/2)*e^(9/2) - 140*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^6*c*d*f*g^(5/2)*e^(7/2) - 140*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^6*b*d*g^(7/2)*e^(7/2) - 455*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^8*c*f*g^(3/2)*e^(5/2) + 280*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^8*b*g^(5/2)*e^(5/2) + 86*c*d^3*f^2*g^(9/2)*e^(15/2) - 40*b*d^3*f*g^(11/2)*e^(15/2) + 24*a*d^3*g^(13/2)*e^(15/2) + 462*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*d^2*f^2*g^(7/2)*e^(13/2) - 252*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*b*d^2*f*g^(9/2)*e^(13/2) + 168*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*a*d^2*g^(11/2)*e^(13/2) + 714*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*c*d*f^2*g^(5/2)*e^(11/2) - 672*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*b*d*f*g^(7/2)*e^(11/2) + 504*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*a*d*g^(9/2)*e^(11/2) + 770*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^6*c*f^2*g^(3/2)*e^(9/2) - 700*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^6*b*f*g^(5/2)*e^(9/2) + 840*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^6*a*g^(7/2)*e^(9/2) - 150*c*d^2*f^3*g^(7/2)*e^(17/2) + 96*b*d^2*f^2*g^(9/2)*e^(17/2) - 72*a*d^2*f*g^(11/2)*e^(17/2) - 588*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*d*f^3*g^(5/2)*e^(15/2) + 420*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*b*d*f^2*g^(7/2)*e^(15/2) - 336*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*a*d*f*g^(9/2)*e^(15/2) - 630*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*c*f^3*g^(3/2)*e^(13/2) + 588*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*b*f^2*g^(5/2)*e^(13/2) - 504*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^4*a*f*g^(7/2)*e^(13/2) + 119*c*d*f^4*g^(5/2)*e^(19/2) - 88*b*d*f^3*g^(7/2)*e^(19/2) + 72*a*d*f^2*g^(9/2)*e^(19/2) + 245*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*c*f^4*g^(3/2)*e^(17/2) - 196*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*b*f^3*g^(5/2)*e^(17/2) + 168*(sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2*a*f^2*g^(7/2)*e^(17/2) - 35*c*f^5*g^(3/2)*e^(21/2) + 28*b*f^4*g^(5/2)*e^(21/2) - 24*a*f^3*g^(7/2)*e^(21/2))*e^(-1)/(d*g*e + (sqrt(x*e + d)*sqrt(g)*e^(1/2) - sqrt((x*e + d)*g*e - d*g*e + f*e^2))^2 - f*e^2)^7","B",0
842,1,237,0,0.439693," ","integrate((e*x+d)^(1/2)*(c*x^2+b*x+a)/(f*x+e)^(3/2),x, algorithm=""giac"")","\frac{{\left({\left(x e + d\right)} {\left(\frac{2 \, {\left(x e + d\right)} c e^{\left(-1\right)}}{f} - \frac{{\left(3 \, c d f^{4} e^{2} - 4 \, b f^{4} e^{3} + 5 \, c f^{3} e^{4}\right)} e^{\left(-3\right)}}{f^{5}}\right)} + \frac{{\left(c d^{2} f^{4} e^{2} - 4 \, b d f^{4} e^{3} + 6 \, c d f^{3} e^{4} - 8 \, a f^{4} e^{4} + 12 \, b f^{3} e^{5} - 15 \, c f^{2} e^{6}\right)} e^{\left(-3\right)}}{f^{5}}\right)} \sqrt{x e + d}}{4 \, \sqrt{{\left(x e + d\right)} f e - d f e + e^{3}}} + \frac{{\left(c d^{2} f^{2} - 4 \, b d f^{2} e + 6 \, c d f e^{2} - 8 \, a f^{2} e^{2} + 12 \, b f e^{3} - 15 \, c e^{4}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{x e + d} \sqrt{f} e^{\frac{1}{2}} + \sqrt{{\left(x e + d\right)} f e - d f e + e^{3}} \right|}\right)}{4 \, f^{\frac{7}{2}}}"," ",0,"1/4*((x*e + d)*(2*(x*e + d)*c*e^(-1)/f - (3*c*d*f^4*e^2 - 4*b*f^4*e^3 + 5*c*f^3*e^4)*e^(-3)/f^5) + (c*d^2*f^4*e^2 - 4*b*d*f^4*e^3 + 6*c*d*f^3*e^4 - 8*a*f^4*e^4 + 12*b*f^3*e^5 - 15*c*f^2*e^6)*e^(-3)/f^5)*sqrt(x*e + d)/sqrt((x*e + d)*f*e - d*f*e + e^3) + 1/4*(c*d^2*f^2 - 4*b*d*f^2*e + 6*c*d*f*e^2 - 8*a*f^2*e^2 + 12*b*f*e^3 - 15*c*e^4)*e^(-3/2)*log(abs(-sqrt(x*e + d)*sqrt(f)*e^(1/2) + sqrt((x*e + d)*f*e - d*f*e + e^3)))/f^(7/2)","A",0
843,1,717,0,0.519046," ","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=""giac"")","-\frac{\frac{360 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} d^{3} {\left| b \right|}}{b^{2}} - \frac{28 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} d {\left| b \right|} e^{2}}{b^{2}} - \frac{210 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} d^{2} {\left| b \right|} e}{b^{3}} - \frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} {\left| b \right|} e^{3}}{b^{2}}}{24 \, b}"," ",0,"-1/24*(360*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*d^3*abs(b)/b^2 - 28*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*d*abs(b)*e^2/b^2 - 210*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*d^2*abs(b)*e/b^3 - (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*abs(b)*e^3/b^2)/b","B",0
844,1,441,0,0.381835," ","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=""giac"")","-\frac{\frac{45 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} d^{2} {\left| b \right|}}{b^{2}} - \frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} {\left| b \right|} e^{2}}{b^{2}} - \frac{15 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} d {\left| b \right|} e}{b^{3}}}{3 \, b}"," ",0,"-1/3*(45*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*d^2*abs(b)/b^2 - (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*abs(b)*e^2/b^2 - 15*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*d*abs(b)*e/b^3)/b","B",0
845,1,145,0,0.243629," ","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=""giac"")","\frac{2 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(\frac{2 \, {\left(b x + a\right)} e}{b^{3}} + \frac{{\left(7 \, b^{6} d e^{2} - 5 \, a b^{5} e^{3}\right)} e^{\left(-2\right)}}{b^{8}}\right)} - \frac{{\left(8 \, b^{2} d^{2} - 8 \, a b d e + 3 \, a^{2} e^{2}\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} b}{{\left| b \right|}}"," ",0,"2*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*e/b^3 + (7*b^6*d*e^2 - 5*a*b^5*e^3)*e^(-2)/b^8) - (8*b^2*d^2 - 8*a*b*d*e + 3*a^2*e^2)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*b/abs(b)","A",0
846,1,193,0,0.364484," ","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=""giac"")","-\frac{8 \, {\left(2 \, b d - a e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b} {\left| b \right|}} + \frac{2 \, \sqrt{b x + a} {\left(\frac{4 \, {\left(b^{3} d e^{3} - a b^{2} e^{4}\right)} {\left(b x + a\right)}}{b^{3} d {\left| b \right|} e^{2} - a b^{2} {\left| b \right|} e^{3}} + \frac{7 \, b^{4} d^{2} e^{2} - 8 \, a b^{3} d e^{3} + 4 \, a^{2} b^{2} e^{4}}{b^{3} d {\left| b \right|} e^{2} - a b^{2} {\left| b \right|} e^{3}}\right)}}{\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}}"," ",0,"-8*(2*b*d - a*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/(sqrt(b)*abs(b)) + 2*sqrt(b*x + a)*(4*(b^3*d*e^3 - a*b^2*e^4)*(b*x + a)/(b^3*d*abs(b)*e^2 - a*b^2*abs(b)*e^3) + (7*b^4*d^2*e^2 - 8*a*b^3*d*e^3 + 4*a^2*b^2*e^4)/(b^3*d*abs(b)*e^2 - a*b^2*abs(b)*e^3))/sqrt(b^2*d + (b*x + a)*b*e - a*b*e)","B",0
847,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
848,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
849,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
850,-1,0,0,0.000000," ","integrate((e*x+d)^(3/2)/(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
851,-1,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
852,-1,0,0,0.000000," ","integrate(1/(e*x+d)^(1/2)/(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
853,-1,0,0,0.000000," ","integrate(1/(e*x+d)^(3/2)/(c*x^2+b*x+a)/(g*x+f)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
857,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
859,-1,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)/(g*x+f)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
860,1,1844,0,4.636301," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)/(g*x+f)^3,x, algorithm=""giac"")","-\frac{{\left(b^{2} d^{2} g^{3} - 4 \, a c d^{2} g^{3} - 8 \, c^{2} d f^{3} e + 12 \, b c d f^{2} g e - 6 \, b^{2} d f g^{2} e + 4 \, a b d g^{3} e + 4 \, b c f^{3} e^{2} - 3 \, b^{2} f^{2} g e^{2} - 12 \, a c f^{2} g e^{2} + 12 \, a b f g^{2} e^{2} - 8 \, a^{2} g^{3} e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} g + \sqrt{c} f}{\sqrt{-c f^{2} + b f g - a g^{2}}}\right)}{4 \, {\left(c d^{3} f^{2} g^{3} - b d^{3} f g^{4} + a d^{3} g^{5} - 3 \, c d^{2} f^{3} g^{2} e + 3 \, b d^{2} f^{2} g^{3} e - 3 \, a d^{2} f g^{4} e + 3 \, c d f^{4} g e^{2} - 3 \, b d f^{3} g^{2} e^{2} + 3 \, a d f^{2} g^{3} e^{2} - c f^{5} e^{3} + b f^{4} g e^{3} - a f^{3} g^{2} e^{3}\right)} \sqrt{-c f^{2} + b f g - a g^{2}}} - \frac{2 \, {\left(c d^{2} e - b d e^{2} + a e^{3}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} + b d e - a e^{2}}}\right)}{{\left(d^{3} g^{3} - 3 \, d^{2} f g^{2} e + 3 \, d f^{2} g e^{2} - f^{3} e^{3}\right)} \sqrt{-c d^{2} + b d e - a e^{2}}} + \frac{8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} c^{2} d f^{2} g^{2} - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b c d f g^{3} + {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b^{2} d g^{4} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a c d g^{4} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b c f^{2} g^{2} e + 3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b^{2} f g^{3} e + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a c f g^{3} e - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a b g^{4} e + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{5}{2}} d f^{3} g - 5 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} \sqrt{c} d f g^{3} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{\frac{3}{2}} d f g^{3} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a b \sqrt{c} d g^{4} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{5}{2}} f^{4} e - 20 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b c^{\frac{3}{2}} f^{3} g e + 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} \sqrt{c} f^{2} g^{2} e + 12 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{\frac{3}{2}} f^{2} g^{2} e - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a b \sqrt{c} f g^{3} e - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a^{2} \sqrt{c} g^{4} e + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{2} d f^{3} g - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{2} c d f^{2} g^{2} - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a c^{2} d f^{2} g^{2} - {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} d f g^{3} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c d f g^{3} + {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b^{2} d g^{4} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} c d g^{4} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{2} f^{4} e - 16 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{2} c f^{3} g e - 16 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a c^{2} f^{3} g e + 5 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} f^{2} g^{2} e + 40 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c f^{2} g^{2} e - 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b^{2} f g^{3} e - 28 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} c f g^{3} e + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} b g^{4} e + 2 \, b^{2} c^{\frac{3}{2}} d f^{3} g - b^{3} \sqrt{c} d f^{2} g^{2} - 4 \, a b c^{\frac{3}{2}} d f^{2} g^{2} + a b^{2} \sqrt{c} d f g^{3} + 4 \, a^{2} c^{\frac{3}{2}} d f g^{3} + 2 \, b^{2} c^{\frac{3}{2}} f^{4} e - 3 \, b^{3} \sqrt{c} f^{3} g e - 8 \, a b c^{\frac{3}{2}} f^{3} g e + 15 \, a b^{2} \sqrt{c} f^{2} g^{2} e + 4 \, a^{2} c^{\frac{3}{2}} f^{2} g^{2} e - 20 \, a^{2} b \sqrt{c} f g^{3} e + 8 \, a^{3} \sqrt{c} g^{4} e}{4 \, {\left(c d^{2} f^{2} g^{3} - b d^{2} f g^{4} + a d^{2} g^{5} - 2 \, c d f^{3} g^{2} e + 2 \, b d f^{2} g^{3} e - 2 \, a d f g^{4} e + c f^{4} g e^{2} - b f^{3} g^{2} e^{2} + a f^{2} g^{3} e^{2}\right)} {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} g + 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} f + b f - a g\right)}^{2}}"," ",0,"-1/4*(b^2*d^2*g^3 - 4*a*c*d^2*g^3 - 8*c^2*d*f^3*e + 12*b*c*d*f^2*g*e - 6*b^2*d*f*g^2*e + 4*a*b*d*g^3*e + 4*b*c*f^3*e^2 - 3*b^2*f^2*g*e^2 - 12*a*c*f^2*g*e^2 + 12*a*b*f*g^2*e^2 - 8*a^2*g^3*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*g + sqrt(c)*f)/sqrt(-c*f^2 + b*f*g - a*g^2))/((c*d^3*f^2*g^3 - b*d^3*f*g^4 + a*d^3*g^5 - 3*c*d^2*f^3*g^2*e + 3*b*d^2*f^2*g^3*e - 3*a*d^2*f*g^4*e + 3*c*d*f^4*g*e^2 - 3*b*d*f^3*g^2*e^2 + 3*a*d*f^2*g^3*e^2 - c*f^5*e^3 + b*f^4*g*e^3 - a*f^3*g^2*e^3)*sqrt(-c*f^2 + b*f*g - a*g^2)) - 2*(c*d^2*e - b*d*e^2 + a*e^3)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*e + sqrt(c)*d)/sqrt(-c*d^2 + b*d*e - a*e^2))/((d^3*g^3 - 3*d^2*f*g^2*e + 3*d*f^2*g*e^2 - f^3*e^3)*sqrt(-c*d^2 + b*d*e - a*e^2)) + 1/4*(8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*c^2*d*f^2*g^2 - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b*c*d*f*g^3 + (sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b^2*d*g^4 + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*c*d*g^4 - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b*c*f^2*g^2*e + 3*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b^2*f*g^3*e + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*c*f*g^3*e - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*b*g^4*e + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(5/2)*d*f^3*g - 5*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*sqrt(c)*d*f*g^3 - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^(3/2)*d*f*g^3 + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*b*sqrt(c)*d*g^4 + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(5/2)*f^4*e - 20*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b*c^(3/2)*f^3*g*e + 9*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*sqrt(c)*f^2*g^2*e + 12*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^(3/2)*f^2*g^2*e - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*b*sqrt(c)*f*g^3*e - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a^2*sqrt(c)*g^4*e + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^2*d*f^3*g - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^2*c*d*f^2*g^2 - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*c^2*d*f^2*g^2 - (sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*d*f*g^3 + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c*d*f*g^3 + (sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b^2*d*g^4 + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*c*d*g^4 + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^2*f^4*e - 16*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^2*c*f^3*g*e - 16*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*c^2*f^3*g*e + 5*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*f^2*g^2*e + 40*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c*f^2*g^2*e - 9*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b^2*f*g^3*e - 28*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*c*f*g^3*e + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*b*g^4*e + 2*b^2*c^(3/2)*d*f^3*g - b^3*sqrt(c)*d*f^2*g^2 - 4*a*b*c^(3/2)*d*f^2*g^2 + a*b^2*sqrt(c)*d*f*g^3 + 4*a^2*c^(3/2)*d*f*g^3 + 2*b^2*c^(3/2)*f^4*e - 3*b^3*sqrt(c)*f^3*g*e - 8*a*b*c^(3/2)*f^3*g*e + 15*a*b^2*sqrt(c)*f^2*g^2*e + 4*a^2*c^(3/2)*f^2*g^2*e - 20*a^2*b*sqrt(c)*f*g^3*e + 8*a^3*sqrt(c)*g^4*e)/((c*d^2*f^2*g^3 - b*d^2*f*g^4 + a*d^2*g^5 - 2*c*d*f^3*g^2*e + 2*b*d*f^2*g^3*e - 2*a*d*f*g^4*e + c*f^4*g*e^2 - b*f^3*g^2*e^2 + a*f^2*g^3*e^2)*((sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*g + 2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c)*f + b*f - a*g)^2)","B",0
861,-1,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(e*x+d)/(g*x+f)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
865,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
867,-1,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)/(g*x+f)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
868,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(e*x+d)/(g*x+f)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.6Error: Bad Argument Type","F(-2)",0
869,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(5/2)/(e*x+d)/(g*x+f),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
874,1,72,0,0.228632," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} + b d e - a e^{2}}}\right)}{\sqrt{-c d^{2} + b d e - a e^{2}}}"," ",0,"2*arctan(-((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*e + sqrt(c)*d)/sqrt(-c*d^2 + b*d*e - a*e^2))/sqrt(-c*d^2 + b*d*e - a*e^2)","A",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=""giac"")","\mathit{sage}_{2}"," ",0,"sage2","F",0
876,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
877,1,2256,0,3.260268," ","integrate(1/(e*x+d)/(g*x+f)^3/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","\frac{{\left(8 \, c^{2} d^{2} f^{2} g^{3} - 8 \, b c d^{2} f g^{4} + 3 \, b^{2} d^{2} g^{5} - 4 \, a c d^{2} g^{5} - 24 \, c^{2} d f^{3} g^{2} e + 28 \, b c d f^{2} g^{3} e - 10 \, b^{2} d f g^{4} e + 4 \, a b d g^{5} e + 24 \, c^{2} f^{4} g e^{2} - 36 \, b c f^{3} g^{2} e^{2} + 15 \, b^{2} f^{2} g^{3} e^{2} + 20 \, a c f^{2} g^{3} e^{2} - 20 \, a b f g^{4} e^{2} + 8 \, a^{2} g^{5} e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} g + \sqrt{c} f}{\sqrt{-c f^{2} + b f g - a g^{2}}}\right)}{4 \, {\left(c^{2} d^{3} f^{4} g^{3} - 2 \, b c d^{3} f^{3} g^{4} + b^{2} d^{3} f^{2} g^{5} + 2 \, a c d^{3} f^{2} g^{5} - 2 \, a b d^{3} f g^{6} + a^{2} d^{3} g^{7} - 3 \, c^{2} d^{2} f^{5} g^{2} e + 6 \, b c d^{2} f^{4} g^{3} e - 3 \, b^{2} d^{2} f^{3} g^{4} e - 6 \, a c d^{2} f^{3} g^{4} e + 6 \, a b d^{2} f^{2} g^{5} e - 3 \, a^{2} d^{2} f g^{6} e + 3 \, c^{2} d f^{6} g e^{2} - 6 \, b c d f^{5} g^{2} e^{2} + 3 \, b^{2} d f^{4} g^{3} e^{2} + 6 \, a c d f^{4} g^{3} e^{2} - 6 \, a b d f^{3} g^{4} e^{2} + 3 \, a^{2} d f^{2} g^{5} e^{2} - c^{2} f^{7} e^{3} + 2 \, b c f^{6} g e^{3} - b^{2} f^{5} g^{2} e^{3} - 2 \, a c f^{5} g^{2} e^{3} + 2 \, a b f^{4} g^{3} e^{3} - a^{2} f^{3} g^{4} e^{3}\right)} \sqrt{-c f^{2} + b f g - a g^{2}}} + \frac{2 \, \arctan\left(\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} + b d e - a e^{2}}}\right) e^{3}}{{\left(d^{3} g^{3} - 3 \, d^{2} f g^{2} e + 3 \, d f^{2} g e^{2} - f^{3} e^{3}\right)} \sqrt{-c d^{2} + b d e - a e^{2}}} - \frac{8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} c^{2} d f^{2} g^{3} - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b c d f g^{4} + 3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b^{2} d g^{5} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a c d g^{5} - 16 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} c^{2} f^{3} g^{2} e + 20 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b c f^{2} g^{3} e - 7 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b^{2} f g^{4} e - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a c f g^{4} e + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a b g^{5} e + 24 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{5}{2}} d f^{3} g^{2} - 24 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b c^{\frac{3}{2}} d f^{2} g^{3} + 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} \sqrt{c} d f g^{4} - 12 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{\frac{3}{2}} d f g^{4} - 40 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{5}{2}} f^{4} g e + 44 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b c^{\frac{3}{2}} f^{3} g^{2} e - 13 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} \sqrt{c} f^{2} g^{3} e + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{\frac{3}{2}} f^{2} g^{3} e - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a b \sqrt{c} f g^{4} e + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a^{2} \sqrt{c} g^{5} e + 24 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{2} d f^{3} g^{2} - 20 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{2} c d f^{2} g^{3} - 40 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a c^{2} d f^{2} g^{3} + 5 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} d f g^{4} + 28 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c d f g^{4} - 5 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b^{2} d g^{5} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} c d g^{5} - 40 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{2} f^{4} g e + 40 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{2} c f^{3} g^{2} e + 64 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a c^{2} f^{3} g^{2} e - 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} f^{2} g^{3} e - 72 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c f^{2} g^{3} e + 13 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b^{2} f g^{4} e + 28 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} c f g^{4} e - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} b g^{5} e + 6 \, b^{2} c^{\frac{3}{2}} d f^{3} g^{2} - 3 \, b^{3} \sqrt{c} d f^{2} g^{3} - 20 \, a b c^{\frac{3}{2}} d f^{2} g^{3} + 11 \, a b^{2} \sqrt{c} d f g^{4} + 12 \, a^{2} c^{\frac{3}{2}} d f g^{4} - 8 \, a^{2} b \sqrt{c} d g^{5} - 10 \, b^{2} c^{\frac{3}{2}} f^{4} g e + 7 \, b^{3} \sqrt{c} f^{3} g^{2} e + 32 \, a b c^{\frac{3}{2}} f^{3} g^{2} e - 27 \, a b^{2} \sqrt{c} f^{2} g^{3} e - 20 \, a^{2} c^{\frac{3}{2}} f^{2} g^{3} e + 28 \, a^{2} b \sqrt{c} f g^{4} e - 8 \, a^{3} \sqrt{c} g^{5} e}{4 \, {\left(c^{2} d^{2} f^{4} g^{2} - 2 \, b c d^{2} f^{3} g^{3} + b^{2} d^{2} f^{2} g^{4} + 2 \, a c d^{2} f^{2} g^{4} - 2 \, a b d^{2} f g^{5} + a^{2} d^{2} g^{6} - 2 \, c^{2} d f^{5} g e + 4 \, b c d f^{4} g^{2} e - 2 \, b^{2} d f^{3} g^{3} e - 4 \, a c d f^{3} g^{3} e + 4 \, a b d f^{2} g^{4} e - 2 \, a^{2} d f g^{5} e + c^{2} f^{6} e^{2} - 2 \, b c f^{5} g e^{2} + b^{2} f^{4} g^{2} e^{2} + 2 \, a c f^{4} g^{2} e^{2} - 2 \, a b f^{3} g^{3} e^{2} + a^{2} f^{2} g^{4} e^{2}\right)} {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} g + 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} f + b f - a g\right)}^{2}}"," ",0,"1/4*(8*c^2*d^2*f^2*g^3 - 8*b*c*d^2*f*g^4 + 3*b^2*d^2*g^5 - 4*a*c*d^2*g^5 - 24*c^2*d*f^3*g^2*e + 28*b*c*d*f^2*g^3*e - 10*b^2*d*f*g^4*e + 4*a*b*d*g^5*e + 24*c^2*f^4*g*e^2 - 36*b*c*f^3*g^2*e^2 + 15*b^2*f^2*g^3*e^2 + 20*a*c*f^2*g^3*e^2 - 20*a*b*f*g^4*e^2 + 8*a^2*g^5*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*g + sqrt(c)*f)/sqrt(-c*f^2 + b*f*g - a*g^2))/((c^2*d^3*f^4*g^3 - 2*b*c*d^3*f^3*g^4 + b^2*d^3*f^2*g^5 + 2*a*c*d^3*f^2*g^5 - 2*a*b*d^3*f*g^6 + a^2*d^3*g^7 - 3*c^2*d^2*f^5*g^2*e + 6*b*c*d^2*f^4*g^3*e - 3*b^2*d^2*f^3*g^4*e - 6*a*c*d^2*f^3*g^4*e + 6*a*b*d^2*f^2*g^5*e - 3*a^2*d^2*f*g^6*e + 3*c^2*d*f^6*g*e^2 - 6*b*c*d*f^5*g^2*e^2 + 3*b^2*d*f^4*g^3*e^2 + 6*a*c*d*f^4*g^3*e^2 - 6*a*b*d*f^3*g^4*e^2 + 3*a^2*d*f^2*g^5*e^2 - c^2*f^7*e^3 + 2*b*c*f^6*g*e^3 - b^2*f^5*g^2*e^3 - 2*a*c*f^5*g^2*e^3 + 2*a*b*f^4*g^3*e^3 - a^2*f^3*g^4*e^3)*sqrt(-c*f^2 + b*f*g - a*g^2)) + 2*arctan(((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*e + sqrt(c)*d)/sqrt(-c*d^2 + b*d*e - a*e^2))*e^3/((d^3*g^3 - 3*d^2*f*g^2*e + 3*d*f^2*g*e^2 - f^3*e^3)*sqrt(-c*d^2 + b*d*e - a*e^2)) - 1/4*(8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*c^2*d*f^2*g^3 - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b*c*d*f*g^4 + 3*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b^2*d*g^5 - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*c*d*g^5 - 16*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*c^2*f^3*g^2*e + 20*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b*c*f^2*g^3*e - 7*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b^2*f*g^4*e - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*c*f*g^4*e + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*b*g^5*e + 24*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(5/2)*d*f^3*g^2 - 24*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b*c^(3/2)*d*f^2*g^3 + 9*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*sqrt(c)*d*f*g^4 - 12*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^(3/2)*d*f*g^4 - 40*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(5/2)*f^4*g*e + 44*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b*c^(3/2)*f^3*g^2*e - 13*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*sqrt(c)*f^2*g^3*e + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^(3/2)*f^2*g^3*e - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*b*sqrt(c)*f*g^4*e + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a^2*sqrt(c)*g^5*e + 24*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^2*d*f^3*g^2 - 20*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^2*c*d*f^2*g^3 - 40*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*c^2*d*f^2*g^3 + 5*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*d*f*g^4 + 28*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c*d*f*g^4 - 5*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b^2*d*g^5 - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*c*d*g^5 - 40*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^2*f^4*g*e + 40*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^2*c*f^3*g^2*e + 64*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*c^2*f^3*g^2*e - 9*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*f^2*g^3*e - 72*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c*f^2*g^3*e + 13*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b^2*f*g^4*e + 28*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*c*f*g^4*e - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*b*g^5*e + 6*b^2*c^(3/2)*d*f^3*g^2 - 3*b^3*sqrt(c)*d*f^2*g^3 - 20*a*b*c^(3/2)*d*f^2*g^3 + 11*a*b^2*sqrt(c)*d*f*g^4 + 12*a^2*c^(3/2)*d*f*g^4 - 8*a^2*b*sqrt(c)*d*g^5 - 10*b^2*c^(3/2)*f^4*g*e + 7*b^3*sqrt(c)*f^3*g^2*e + 32*a*b*c^(3/2)*f^3*g^2*e - 27*a*b^2*sqrt(c)*f^2*g^3*e - 20*a^2*c^(3/2)*f^2*g^3*e + 28*a^2*b*sqrt(c)*f*g^4*e - 8*a^3*sqrt(c)*g^5*e)/((c^2*d^2*f^4*g^2 - 2*b*c*d^2*f^3*g^3 + b^2*d^2*f^2*g^4 + 2*a*c*d^2*f^2*g^4 - 2*a*b*d^2*f*g^5 + a^2*d^2*g^6 - 2*c^2*d*f^5*g*e + 4*b*c*d*f^4*g^2*e - 2*b^2*d*f^3*g^3*e - 4*a*c*d*f^3*g^3*e + 4*a*b*d*f^2*g^4*e - 2*a^2*d*f*g^5*e + c^2*f^6*e^2 - 2*b*c*f^5*g*e^2 + b^2*f^4*g^2*e^2 + 2*a*c*f^4*g^2*e^2 - 2*a*b*f^3*g^3*e^2 + a^2*f^2*g^4*e^2)*((sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*g + 2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c)*f + b*f - a*g)^2)","B",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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","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=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
880,1,757,0,0.350553," ","integrate((g*x+f)^2/(e*x+d)/(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(2 \, c^{3} d^{3} f^{2} - 2 \, b c^{2} d^{3} f g + b^{2} c d^{3} g^{2} - 2 \, a c^{2} d^{3} g^{2} - 3 \, b c^{2} d^{2} f^{2} e + 2 \, b^{2} c d^{2} f g e + 4 \, a c^{2} d^{2} f g e - b^{3} d^{2} g^{2} e + a b c d^{2} g^{2} e + b^{2} c d f^{2} e^{2} + 2 \, a c^{2} d f^{2} e^{2} - 6 \, a b c d f g e^{2} + 2 \, a b^{2} d g^{2} e^{2} - 2 \, a^{2} c d g^{2} e^{2} - a b c f^{2} e^{3} + 4 \, a^{2} c f g e^{3} - a^{2} b g^{2} e^{3}\right)} x}{b^{2} c^{2} d^{4} - 4 \, a c^{3} d^{4} - 2 \, b^{3} c d^{3} e + 8 \, a b c^{2} d^{3} e + b^{4} d^{2} e^{2} - 2 \, a b^{2} c d^{2} e^{2} - 8 \, a^{2} c^{2} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + 8 \, a^{2} b c d e^{3} + a^{2} b^{2} e^{4} - 4 \, a^{3} c e^{4}} + \frac{b c^{2} d^{3} f^{2} - 4 \, a c^{2} d^{3} f g + a b c d^{3} g^{2} - 2 \, b^{2} c d^{2} f^{2} e + 2 \, a c^{2} d^{2} f^{2} e + 6 \, a b c d^{2} f g e - a b^{2} d^{2} g^{2} e - 2 \, a^{2} c d^{2} g^{2} e + b^{3} d f^{2} e^{2} - a b c d f^{2} e^{2} - 2 \, a b^{2} d f g e^{2} - 4 \, a^{2} c d f g e^{2} + 3 \, a^{2} b d g^{2} e^{2} - a b^{2} f^{2} e^{3} + 2 \, a^{2} c f^{2} e^{3} + 2 \, a^{2} b f g e^{3} - 2 \, a^{3} g^{2} e^{3}}{b^{2} c^{2} d^{4} - 4 \, a c^{3} d^{4} - 2 \, b^{3} c d^{3} e + 8 \, a b c^{2} d^{3} e + b^{4} d^{2} e^{2} - 2 \, a b^{2} c d^{2} e^{2} - 8 \, a^{2} c^{2} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + 8 \, a^{2} b c d e^{3} + a^{2} b^{2} e^{4} - 4 \, a^{3} c e^{4}}\right)}}{\sqrt{c x^{2} + b x + a}} + \frac{2 \, {\left(d^{2} g^{2} - 2 \, d f g e + f^{2} e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} + b d e - a e^{2}}}\right)}{{\left(c d^{2} - b d e + a e^{2}\right)} \sqrt{-c d^{2} + b d e - a e^{2}}}"," ",0,"-2*((2*c^3*d^3*f^2 - 2*b*c^2*d^3*f*g + b^2*c*d^3*g^2 - 2*a*c^2*d^3*g^2 - 3*b*c^2*d^2*f^2*e + 2*b^2*c*d^2*f*g*e + 4*a*c^2*d^2*f*g*e - b^3*d^2*g^2*e + a*b*c*d^2*g^2*e + b^2*c*d*f^2*e^2 + 2*a*c^2*d*f^2*e^2 - 6*a*b*c*d*f*g*e^2 + 2*a*b^2*d*g^2*e^2 - 2*a^2*c*d*g^2*e^2 - a*b*c*f^2*e^3 + 4*a^2*c*f*g*e^3 - a^2*b*g^2*e^3)*x/(b^2*c^2*d^4 - 4*a*c^3*d^4 - 2*b^3*c*d^3*e + 8*a*b*c^2*d^3*e + b^4*d^2*e^2 - 2*a*b^2*c*d^2*e^2 - 8*a^2*c^2*d^2*e^2 - 2*a*b^3*d*e^3 + 8*a^2*b*c*d*e^3 + a^2*b^2*e^4 - 4*a^3*c*e^4) + (b*c^2*d^3*f^2 - 4*a*c^2*d^3*f*g + a*b*c*d^3*g^2 - 2*b^2*c*d^2*f^2*e + 2*a*c^2*d^2*f^2*e + 6*a*b*c*d^2*f*g*e - a*b^2*d^2*g^2*e - 2*a^2*c*d^2*g^2*e + b^3*d*f^2*e^2 - a*b*c*d*f^2*e^2 - 2*a*b^2*d*f*g*e^2 - 4*a^2*c*d*f*g*e^2 + 3*a^2*b*d*g^2*e^2 - a*b^2*f^2*e^3 + 2*a^2*c*f^2*e^3 + 2*a^2*b*f*g*e^3 - 2*a^3*g^2*e^3)/(b^2*c^2*d^4 - 4*a*c^3*d^4 - 2*b^3*c*d^3*e + 8*a*b*c^2*d^3*e + b^4*d^2*e^2 - 2*a*b^2*c*d^2*e^2 - 8*a^2*c^2*d^2*e^2 - 2*a*b^3*d*e^3 + 8*a^2*b*c*d*e^3 + a^2*b^2*e^4 - 4*a^3*c*e^4))/sqrt(c*x^2 + b*x + a) + 2*(d^2*g^2 - 2*d*f*g*e + f^2*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*e + sqrt(c)*d)/sqrt(-c*d^2 + b*d*e - a*e^2))/((c*d^2 - b*d*e + a*e^2)*sqrt(-c*d^2 + b*d*e - a*e^2))","B",0
881,1,568,0,0.322673," ","integrate((g*x+f)/(e*x+d)/(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(2 \, c^{3} d^{3} f - b c^{2} d^{3} g - 3 \, b c^{2} d^{2} f e + b^{2} c d^{2} g e + 2 \, a c^{2} d^{2} g e + b^{2} c d f e^{2} + 2 \, a c^{2} d f e^{2} - 3 \, a b c d g e^{2} - a b c f e^{3} + 2 \, a^{2} c g e^{3}\right)} x}{b^{2} c^{2} d^{4} - 4 \, a c^{3} d^{4} - 2 \, b^{3} c d^{3} e + 8 \, a b c^{2} d^{3} e + b^{4} d^{2} e^{2} - 2 \, a b^{2} c d^{2} e^{2} - 8 \, a^{2} c^{2} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + 8 \, a^{2} b c d e^{3} + a^{2} b^{2} e^{4} - 4 \, a^{3} c e^{4}} + \frac{b c^{2} d^{3} f - 2 \, a c^{2} d^{3} g - 2 \, b^{2} c d^{2} f e + 2 \, a c^{2} d^{2} f e + 3 \, a b c d^{2} g e + b^{3} d f e^{2} - a b c d f e^{2} - a b^{2} d g e^{2} - 2 \, a^{2} c d g e^{2} - a b^{2} f e^{3} + 2 \, a^{2} c f e^{3} + a^{2} b g e^{3}}{b^{2} c^{2} d^{4} - 4 \, a c^{3} d^{4} - 2 \, b^{3} c d^{3} e + 8 \, a b c^{2} d^{3} e + b^{4} d^{2} e^{2} - 2 \, a b^{2} c d^{2} e^{2} - 8 \, a^{2} c^{2} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + 8 \, a^{2} b c d e^{3} + a^{2} b^{2} e^{4} - 4 \, a^{3} c e^{4}}\right)}}{\sqrt{c x^{2} + b x + a}} - \frac{2 \, {\left(d g e - f e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} + b d e - a e^{2}}}\right)}{{\left(c d^{2} - b d e + a e^{2}\right)} \sqrt{-c d^{2} + b d e - a e^{2}}}"," ",0,"-2*((2*c^3*d^3*f - b*c^2*d^3*g - 3*b*c^2*d^2*f*e + b^2*c*d^2*g*e + 2*a*c^2*d^2*g*e + b^2*c*d*f*e^2 + 2*a*c^2*d*f*e^2 - 3*a*b*c*d*g*e^2 - a*b*c*f*e^3 + 2*a^2*c*g*e^3)*x/(b^2*c^2*d^4 - 4*a*c^3*d^4 - 2*b^3*c*d^3*e + 8*a*b*c^2*d^3*e + b^4*d^2*e^2 - 2*a*b^2*c*d^2*e^2 - 8*a^2*c^2*d^2*e^2 - 2*a*b^3*d*e^3 + 8*a^2*b*c*d*e^3 + a^2*b^2*e^4 - 4*a^3*c*e^4) + (b*c^2*d^3*f - 2*a*c^2*d^3*g - 2*b^2*c*d^2*f*e + 2*a*c^2*d^2*f*e + 3*a*b*c*d^2*g*e + b^3*d*f*e^2 - a*b*c*d*f*e^2 - a*b^2*d*g*e^2 - 2*a^2*c*d*g*e^2 - a*b^2*f*e^3 + 2*a^2*c*f*e^3 + a^2*b*g*e^3)/(b^2*c^2*d^4 - 4*a*c^3*d^4 - 2*b^3*c*d^3*e + 8*a*b*c^2*d^3*e + b^4*d^2*e^2 - 2*a*b^2*c*d^2*e^2 - 8*a^2*c^2*d^2*e^2 - 2*a*b^3*d*e^3 + 8*a^2*b*c*d*e^3 + a^2*b^2*e^4 - 4*a^3*c*e^4))/sqrt(c*x^2 + b*x + a) - 2*(d*g*e - f*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*e + sqrt(c)*d)/sqrt(-c*d^2 + b*d*e - a*e^2))/((c*d^2 - b*d*e + a*e^2)*sqrt(-c*d^2 + b*d*e - a*e^2))","B",0
882,1,447,0,0.318303," ","integrate(1/(e*x+d)/(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(2 \, c^{3} d^{3} - 3 \, b c^{2} d^{2} e + b^{2} c d e^{2} + 2 \, a c^{2} d e^{2} - a b c e^{3}\right)} x}{b^{2} c^{2} d^{4} - 4 \, a c^{3} d^{4} - 2 \, b^{3} c d^{3} e + 8 \, a b c^{2} d^{3} e + b^{4} d^{2} e^{2} - 2 \, a b^{2} c d^{2} e^{2} - 8 \, a^{2} c^{2} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + 8 \, a^{2} b c d e^{3} + a^{2} b^{2} e^{4} - 4 \, a^{3} c e^{4}} + \frac{b c^{2} d^{3} - 2 \, b^{2} c d^{2} e + 2 \, a c^{2} d^{2} e + b^{3} d e^{2} - a b c d e^{2} - a b^{2} e^{3} + 2 \, a^{2} c e^{3}}{b^{2} c^{2} d^{4} - 4 \, a c^{3} d^{4} - 2 \, b^{3} c d^{3} e + 8 \, a b c^{2} d^{3} e + b^{4} d^{2} e^{2} - 2 \, a b^{2} c d^{2} e^{2} - 8 \, a^{2} c^{2} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + 8 \, a^{2} b c d e^{3} + a^{2} b^{2} e^{4} - 4 \, a^{3} c e^{4}}\right)}}{\sqrt{c x^{2} + b x + a}} + \frac{2 \, \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} + b d e - a e^{2}}}\right) e^{2}}{{\left(c d^{2} - b d e + a e^{2}\right)} \sqrt{-c d^{2} + b d e - a e^{2}}}"," ",0,"-2*((2*c^3*d^3 - 3*b*c^2*d^2*e + b^2*c*d*e^2 + 2*a*c^2*d*e^2 - a*b*c*e^3)*x/(b^2*c^2*d^4 - 4*a*c^3*d^4 - 2*b^3*c*d^3*e + 8*a*b*c^2*d^3*e + b^4*d^2*e^2 - 2*a*b^2*c*d^2*e^2 - 8*a^2*c^2*d^2*e^2 - 2*a*b^3*d*e^3 + 8*a^2*b*c*d*e^3 + a^2*b^2*e^4 - 4*a^3*c*e^4) + (b*c^2*d^3 - 2*b^2*c*d^2*e + 2*a*c^2*d^2*e + b^3*d*e^2 - a*b*c*d*e^2 - a*b^2*e^3 + 2*a^2*c*e^3)/(b^2*c^2*d^4 - 4*a*c^3*d^4 - 2*b^3*c*d^3*e + 8*a*b*c^2*d^3*e + b^4*d^2*e^2 - 2*a*b^2*c*d^2*e^2 - 8*a^2*c^2*d^2*e^2 - 2*a*b^3*d*e^3 + 8*a^2*b*c*d*e^3 + a^2*b^2*e^4 - 4*a^3*c*e^4))/sqrt(c*x^2 + b*x + a) + 2*arctan(-((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*e + sqrt(c)*d)/sqrt(-c*d^2 + b*d*e - a*e^2))*e^2/((c*d^2 - b*d*e + a*e^2)*sqrt(-c*d^2 + b*d*e - a*e^2))","B",0
883,-2,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)/(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
884,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(g*x+f)^2/(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
885,1,14731,0,21.912519," ","integrate(1/(e*x+d)/(g*x+f)^3/(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(2 \, c^{9} d^{3} f^{9} - 9 \, b c^{8} d^{3} f^{8} g + 18 \, b^{2} c^{7} d^{3} f^{7} g^{2} - 21 \, b^{3} c^{6} d^{3} f^{6} g^{3} + 15 \, b^{4} c^{5} d^{3} f^{5} g^{4} + 6 \, a b^{2} c^{6} d^{3} f^{5} g^{4} - 12 \, a^{2} c^{7} d^{3} f^{5} g^{4} - 6 \, b^{5} c^{4} d^{3} f^{4} g^{5} - 15 \, a b^{3} c^{5} d^{3} f^{4} g^{5} + 30 \, a^{2} b c^{6} d^{3} f^{4} g^{5} + b^{6} c^{3} d^{3} f^{3} g^{6} + 12 \, a b^{4} c^{4} d^{3} f^{3} g^{6} - 18 \, a^{2} b^{2} c^{5} d^{3} f^{3} g^{6} - 16 \, a^{3} c^{6} d^{3} f^{3} g^{6} - 3 \, a b^{5} c^{3} d^{3} f^{2} g^{7} - 3 \, a^{2} b^{3} c^{4} d^{3} f^{2} g^{7} + 24 \, a^{3} b c^{5} d^{3} f^{2} g^{7} + 3 \, a^{2} b^{4} c^{3} d^{3} f g^{8} - 6 \, a^{3} b^{2} c^{4} d^{3} f g^{8} - 6 \, a^{4} c^{5} d^{3} f g^{8} - a^{3} b^{3} c^{3} d^{3} g^{9} + 3 \, a^{4} b c^{4} d^{3} g^{9} - 3 \, b c^{8} d^{2} f^{9} e + 15 \, b^{2} c^{7} d^{2} f^{8} g e - 6 \, a c^{8} d^{2} f^{8} g e - 33 \, b^{3} c^{6} d^{2} f^{7} g^{2} e + 24 \, a b c^{7} d^{2} f^{7} g^{2} e + 41 \, b^{4} c^{5} d^{2} f^{6} g^{3} e - 34 \, a b^{2} c^{6} d^{2} f^{6} g^{3} e - 16 \, a^{2} c^{7} d^{2} f^{6} g^{3} e - 30 \, b^{5} c^{4} d^{2} f^{5} g^{4} e + 9 \, a b^{3} c^{5} d^{2} f^{5} g^{4} e + 66 \, a^{2} b c^{6} d^{2} f^{5} g^{4} e + 12 \, b^{6} c^{3} d^{2} f^{4} g^{5} e + 24 \, a b^{4} c^{4} d^{2} f^{4} g^{5} e - 96 \, a^{2} b^{2} c^{5} d^{2} f^{4} g^{5} e - 12 \, a^{3} c^{6} d^{2} f^{4} g^{5} e - 2 \, b^{7} c^{2} d^{2} f^{3} g^{6} e - 23 \, a b^{5} c^{3} d^{2} f^{3} g^{6} e + 49 \, a^{2} b^{3} c^{4} d^{2} f^{3} g^{6} e + 48 \, a^{3} b c^{5} d^{2} f^{3} g^{6} e + 6 \, a b^{6} c^{2} d^{2} f^{2} g^{7} e + 3 \, a^{2} b^{4} c^{3} d^{2} f^{2} g^{7} e - 54 \, a^{3} b^{2} c^{4} d^{2} f^{2} g^{7} e - 6 \, a^{2} b^{5} c^{2} d^{2} f g^{8} e + 15 \, a^{3} b^{3} c^{3} d^{2} f g^{8} e + 9 \, a^{4} b c^{4} d^{2} f g^{8} e + 2 \, a^{3} b^{4} c^{2} d^{2} g^{9} e - 7 \, a^{4} b^{2} c^{3} d^{2} g^{9} e + 2 \, a^{5} c^{4} d^{2} g^{9} e + b^{2} c^{7} d f^{9} e^{2} + 2 \, a c^{8} d f^{9} e^{2} - 6 \, b^{3} c^{6} d f^{8} g e^{2} - 3 \, a b c^{7} d f^{8} g e^{2} + 15 \, b^{4} c^{5} d f^{7} g^{2} e^{2} - 6 \, a b^{2} c^{6} d f^{7} g^{2} e^{2} - 20 \, b^{5} c^{4} d f^{6} g^{3} e^{2} + 13 \, a b^{3} c^{5} d f^{6} g^{3} e^{2} + 16 \, a^{2} b c^{6} d f^{6} g^{3} e^{2} + 15 \, b^{6} c^{3} d f^{5} g^{4} e^{2} - 48 \, a^{2} b^{2} c^{5} d f^{5} g^{4} e^{2} - 12 \, a^{3} c^{6} d f^{5} g^{4} e^{2} - 6 \, b^{7} c^{2} d f^{4} g^{5} e^{2} - 15 \, a b^{5} c^{3} d f^{4} g^{5} e^{2} + 51 \, a^{2} b^{3} c^{4} d f^{4} g^{5} e^{2} + 42 \, a^{3} b c^{5} d f^{4} g^{5} e^{2} + b^{8} c d f^{3} g^{6} e^{2} + 12 \, a b^{6} c^{2} d f^{3} g^{6} e^{2} - 19 \, a^{2} b^{4} c^{3} d f^{3} g^{6} e^{2} - 50 \, a^{3} b^{2} c^{4} d f^{3} g^{6} e^{2} - 16 \, a^{4} c^{5} d f^{3} g^{6} e^{2} - 3 \, a b^{7} c d f^{2} g^{7} e^{2} - 3 \, a^{2} b^{5} c^{2} d f^{2} g^{7} e^{2} + 27 \, a^{3} b^{3} c^{3} d f^{2} g^{7} e^{2} + 24 \, a^{4} b c^{4} d f^{2} g^{7} e^{2} + 3 \, a^{2} b^{6} c d f g^{8} e^{2} - 6 \, a^{3} b^{4} c^{2} d f g^{8} e^{2} - 9 \, a^{4} b^{2} c^{3} d f g^{8} e^{2} - 6 \, a^{5} c^{4} d f g^{8} e^{2} - a^{3} b^{5} c d g^{9} e^{2} + 3 \, a^{4} b^{3} c^{2} d g^{9} e^{2} + a^{5} b c^{3} d g^{9} e^{2} - a b c^{7} f^{9} e^{3} + 6 \, a b^{2} c^{6} f^{8} g e^{3} - 6 \, a^{2} c^{7} f^{8} g e^{3} - 15 \, a b^{3} c^{5} f^{7} g^{2} e^{3} + 24 \, a^{2} b c^{6} f^{7} g^{2} e^{3} + 20 \, a b^{4} c^{4} f^{6} g^{3} e^{3} - 34 \, a^{2} b^{2} c^{5} f^{6} g^{3} e^{3} - 16 \, a^{3} c^{6} f^{6} g^{3} e^{3} - 15 \, a b^{5} c^{3} f^{5} g^{4} e^{3} + 15 \, a^{2} b^{3} c^{4} f^{5} g^{4} e^{3} + 54 \, a^{3} b c^{5} f^{5} g^{4} e^{3} + 6 \, a b^{6} c^{2} f^{4} g^{5} e^{3} + 9 \, a^{2} b^{4} c^{3} f^{4} g^{5} e^{3} - 66 \, a^{3} b^{2} c^{4} f^{4} g^{5} e^{3} - 12 \, a^{4} c^{5} f^{4} g^{5} e^{3} - a b^{7} c f^{3} g^{6} e^{3} - 11 \, a^{2} b^{5} c^{2} f^{3} g^{6} e^{3} + 31 \, a^{3} b^{3} c^{3} f^{3} g^{6} e^{3} + 32 \, a^{4} b c^{4} f^{3} g^{6} e^{3} + 3 \, a^{2} b^{6} c f^{2} g^{7} e^{3} - 30 \, a^{4} b^{2} c^{3} f^{2} g^{7} e^{3} - 3 \, a^{3} b^{5} c f g^{8} e^{3} + 9 \, a^{4} b^{3} c^{2} f g^{8} e^{3} + 3 \, a^{5} b c^{3} f g^{8} e^{3} + a^{4} b^{4} c g^{9} e^{3} - 4 \, a^{5} b^{2} c^{2} g^{9} e^{3} + 2 \, a^{6} c^{3} g^{9} e^{3}\right)} x}{b^{2} c^{8} d^{4} f^{12} - 4 \, a c^{9} d^{4} f^{12} - 6 \, b^{3} c^{7} d^{4} f^{11} g + 24 \, a b c^{8} d^{4} f^{11} g + 15 \, b^{4} c^{6} d^{4} f^{10} g^{2} - 54 \, a b^{2} c^{7} d^{4} f^{10} g^{2} - 24 \, a^{2} c^{8} d^{4} f^{10} g^{2} - 20 \, b^{5} c^{5} d^{4} f^{9} g^{3} + 50 \, a b^{3} c^{6} d^{4} f^{9} g^{3} + 120 \, a^{2} b c^{7} d^{4} f^{9} g^{3} + 15 \, b^{6} c^{4} d^{4} f^{8} g^{4} - 225 \, a^{2} b^{2} c^{6} d^{4} f^{8} g^{4} - 60 \, a^{3} c^{7} d^{4} f^{8} g^{4} - 6 \, b^{7} c^{3} d^{4} f^{7} g^{5} - 36 \, a b^{5} c^{4} d^{4} f^{7} g^{5} + 180 \, a^{2} b^{3} c^{5} d^{4} f^{7} g^{5} + 240 \, a^{3} b c^{6} d^{4} f^{7} g^{5} + b^{8} c^{2} d^{4} f^{6} g^{6} + 26 \, a b^{6} c^{3} d^{4} f^{6} g^{6} - 30 \, a^{2} b^{4} c^{4} d^{4} f^{6} g^{6} - 340 \, a^{3} b^{2} c^{5} d^{4} f^{6} g^{6} - 80 \, a^{4} c^{6} d^{4} f^{6} g^{6} - 6 \, a b^{7} c^{2} d^{4} f^{5} g^{7} - 36 \, a^{2} b^{5} c^{3} d^{4} f^{5} g^{7} + 180 \, a^{3} b^{3} c^{4} d^{4} f^{5} g^{7} + 240 \, a^{4} b c^{5} d^{4} f^{5} g^{7} + 15 \, a^{2} b^{6} c^{2} d^{4} f^{4} g^{8} - 225 \, a^{4} b^{2} c^{4} d^{4} f^{4} g^{8} - 60 \, a^{5} c^{5} d^{4} f^{4} g^{8} - 20 \, a^{3} b^{5} c^{2} d^{4} f^{3} g^{9} + 50 \, a^{4} b^{3} c^{3} d^{4} f^{3} g^{9} + 120 \, a^{5} b c^{4} d^{4} f^{3} g^{9} + 15 \, a^{4} b^{4} c^{2} d^{4} f^{2} g^{10} - 54 \, a^{5} b^{2} c^{3} d^{4} f^{2} g^{10} - 24 \, a^{6} c^{4} d^{4} f^{2} g^{10} - 6 \, a^{5} b^{3} c^{2} d^{4} f g^{11} + 24 \, a^{6} b c^{3} d^{4} f g^{11} + a^{6} b^{2} c^{2} d^{4} g^{12} - 4 \, a^{7} c^{3} d^{4} g^{12} - 2 \, b^{3} c^{7} d^{3} f^{12} e + 8 \, a b c^{8} d^{3} f^{12} e + 12 \, b^{4} c^{6} d^{3} f^{11} g e - 48 \, a b^{2} c^{7} d^{3} f^{11} g e - 30 \, b^{5} c^{5} d^{3} f^{10} g^{2} e + 108 \, a b^{3} c^{6} d^{3} f^{10} g^{2} e + 48 \, a^{2} b c^{7} d^{3} f^{10} g^{2} e + 40 \, b^{6} c^{4} d^{3} f^{9} g^{3} e - 100 \, a b^{4} c^{5} d^{3} f^{9} g^{3} e - 240 \, a^{2} b^{2} c^{6} d^{3} f^{9} g^{3} e - 30 \, b^{7} c^{3} d^{3} f^{8} g^{4} e + 450 \, a^{2} b^{3} c^{5} d^{3} f^{8} g^{4} e + 120 \, a^{3} b c^{6} d^{3} f^{8} g^{4} e + 12 \, b^{8} c^{2} d^{3} f^{7} g^{5} e + 72 \, a b^{6} c^{3} d^{3} f^{7} g^{5} e - 360 \, a^{2} b^{4} c^{4} d^{3} f^{7} g^{5} e - 480 \, a^{3} b^{2} c^{5} d^{3} f^{7} g^{5} e - 2 \, b^{9} c d^{3} f^{6} g^{6} e - 52 \, a b^{7} c^{2} d^{3} f^{6} g^{6} e + 60 \, a^{2} b^{5} c^{3} d^{3} f^{6} g^{6} e + 680 \, a^{3} b^{3} c^{4} d^{3} f^{6} g^{6} e + 160 \, a^{4} b c^{5} d^{3} f^{6} g^{6} e + 12 \, a b^{8} c d^{3} f^{5} g^{7} e + 72 \, a^{2} b^{6} c^{2} d^{3} f^{5} g^{7} e - 360 \, a^{3} b^{4} c^{3} d^{3} f^{5} g^{7} e - 480 \, a^{4} b^{2} c^{4} d^{3} f^{5} g^{7} e - 30 \, a^{2} b^{7} c d^{3} f^{4} g^{8} e + 450 \, a^{4} b^{3} c^{3} d^{3} f^{4} g^{8} e + 120 \, a^{5} b c^{4} d^{3} f^{4} g^{8} e + 40 \, a^{3} b^{6} c d^{3} f^{3} g^{9} e - 100 \, a^{4} b^{4} c^{2} d^{3} f^{3} g^{9} e - 240 \, a^{5} b^{2} c^{3} d^{3} f^{3} g^{9} e - 30 \, a^{4} b^{5} c d^{3} f^{2} g^{10} e + 108 \, a^{5} b^{3} c^{2} d^{3} f^{2} g^{10} e + 48 \, a^{6} b c^{3} d^{3} f^{2} g^{10} e + 12 \, a^{5} b^{4} c d^{3} f g^{11} e - 48 \, a^{6} b^{2} c^{2} d^{3} f g^{11} e - 2 \, a^{6} b^{3} c d^{3} g^{12} e + 8 \, a^{7} b c^{2} d^{3} g^{12} e + b^{4} c^{6} d^{2} f^{12} e^{2} - 2 \, a b^{2} c^{7} d^{2} f^{12} e^{2} - 8 \, a^{2} c^{8} d^{2} f^{12} e^{2} - 6 \, b^{5} c^{5} d^{2} f^{11} g e^{2} + 12 \, a b^{3} c^{6} d^{2} f^{11} g e^{2} + 48 \, a^{2} b c^{7} d^{2} f^{11} g e^{2} + 15 \, b^{6} c^{4} d^{2} f^{10} g^{2} e^{2} - 24 \, a b^{4} c^{5} d^{2} f^{10} g^{2} e^{2} - 132 \, a^{2} b^{2} c^{6} d^{2} f^{10} g^{2} e^{2} - 48 \, a^{3} c^{7} d^{2} f^{10} g^{2} e^{2} - 20 \, b^{7} c^{3} d^{2} f^{9} g^{3} e^{2} + 10 \, a b^{5} c^{4} d^{2} f^{9} g^{3} e^{2} + 220 \, a^{2} b^{3} c^{5} d^{2} f^{9} g^{3} e^{2} + 240 \, a^{3} b c^{6} d^{2} f^{9} g^{3} e^{2} + 15 \, b^{8} c^{2} d^{2} f^{8} g^{4} e^{2} + 30 \, a b^{6} c^{3} d^{2} f^{8} g^{4} e^{2} - 225 \, a^{2} b^{4} c^{4} d^{2} f^{8} g^{4} e^{2} - 510 \, a^{3} b^{2} c^{5} d^{2} f^{8} g^{4} e^{2} - 120 \, a^{4} c^{6} d^{2} f^{8} g^{4} e^{2} - 6 \, b^{9} c d^{2} f^{7} g^{5} e^{2} - 48 \, a b^{7} c^{2} d^{2} f^{7} g^{5} e^{2} + 108 \, a^{2} b^{5} c^{3} d^{2} f^{7} g^{5} e^{2} + 600 \, a^{3} b^{3} c^{4} d^{2} f^{7} g^{5} e^{2} + 480 \, a^{4} b c^{5} d^{2} f^{7} g^{5} e^{2} + b^{10} d^{2} f^{6} g^{6} e^{2} + 28 \, a b^{8} c d^{2} f^{6} g^{6} e^{2} + 22 \, a^{2} b^{6} c^{2} d^{2} f^{6} g^{6} e^{2} - 400 \, a^{3} b^{4} c^{3} d^{2} f^{6} g^{6} e^{2} - 760 \, a^{4} b^{2} c^{4} d^{2} f^{6} g^{6} e^{2} - 160 \, a^{5} c^{5} d^{2} f^{6} g^{6} e^{2} - 6 \, a b^{9} d^{2} f^{5} g^{7} e^{2} - 48 \, a^{2} b^{7} c d^{2} f^{5} g^{7} e^{2} + 108 \, a^{3} b^{5} c^{2} d^{2} f^{5} g^{7} e^{2} + 600 \, a^{4} b^{3} c^{3} d^{2} f^{5} g^{7} e^{2} + 480 \, a^{5} b c^{4} d^{2} f^{5} g^{7} e^{2} + 15 \, a^{2} b^{8} d^{2} f^{4} g^{8} e^{2} + 30 \, a^{3} b^{6} c d^{2} f^{4} g^{8} e^{2} - 225 \, a^{4} b^{4} c^{2} d^{2} f^{4} g^{8} e^{2} - 510 \, a^{5} b^{2} c^{3} d^{2} f^{4} g^{8} e^{2} - 120 \, a^{6} c^{4} d^{2} f^{4} g^{8} e^{2} - 20 \, a^{3} b^{7} d^{2} f^{3} g^{9} e^{2} + 10 \, a^{4} b^{5} c d^{2} f^{3} g^{9} e^{2} + 220 \, a^{5} b^{3} c^{2} d^{2} f^{3} g^{9} e^{2} + 240 \, a^{6} b c^{3} d^{2} f^{3} g^{9} e^{2} + 15 \, a^{4} b^{6} d^{2} f^{2} g^{10} e^{2} - 24 \, a^{5} b^{4} c d^{2} f^{2} g^{10} e^{2} - 132 \, a^{6} b^{2} c^{2} d^{2} f^{2} g^{10} e^{2} - 48 \, a^{7} c^{3} d^{2} f^{2} g^{10} e^{2} - 6 \, a^{5} b^{5} d^{2} f g^{11} e^{2} + 12 \, a^{6} b^{3} c d^{2} f g^{11} e^{2} + 48 \, a^{7} b c^{2} d^{2} f g^{11} e^{2} + a^{6} b^{4} d^{2} g^{12} e^{2} - 2 \, a^{7} b^{2} c d^{2} g^{12} e^{2} - 8 \, a^{8} c^{2} d^{2} g^{12} e^{2} - 2 \, a b^{3} c^{6} d f^{12} e^{3} + 8 \, a^{2} b c^{7} d f^{12} e^{3} + 12 \, a b^{4} c^{5} d f^{11} g e^{3} - 48 \, a^{2} b^{2} c^{6} d f^{11} g e^{3} - 30 \, a b^{5} c^{4} d f^{10} g^{2} e^{3} + 108 \, a^{2} b^{3} c^{5} d f^{10} g^{2} e^{3} + 48 \, a^{3} b c^{6} d f^{10} g^{2} e^{3} + 40 \, a b^{6} c^{3} d f^{9} g^{3} e^{3} - 100 \, a^{2} b^{4} c^{4} d f^{9} g^{3} e^{3} - 240 \, a^{3} b^{2} c^{5} d f^{9} g^{3} e^{3} - 30 \, a b^{7} c^{2} d f^{8} g^{4} e^{3} + 450 \, a^{3} b^{3} c^{4} d f^{8} g^{4} e^{3} + 120 \, a^{4} b c^{5} d f^{8} g^{4} e^{3} + 12 \, a b^{8} c d f^{7} g^{5} e^{3} + 72 \, a^{2} b^{6} c^{2} d f^{7} g^{5} e^{3} - 360 \, a^{3} b^{4} c^{3} d f^{7} g^{5} e^{3} - 480 \, a^{4} b^{2} c^{4} d f^{7} g^{5} e^{3} - 2 \, a b^{9} d f^{6} g^{6} e^{3} - 52 \, a^{2} b^{7} c d f^{6} g^{6} e^{3} + 60 \, a^{3} b^{5} c^{2} d f^{6} g^{6} e^{3} + 680 \, a^{4} b^{3} c^{3} d f^{6} g^{6} e^{3} + 160 \, a^{5} b c^{4} d f^{6} g^{6} e^{3} + 12 \, a^{2} b^{8} d f^{5} g^{7} e^{3} + 72 \, a^{3} b^{6} c d f^{5} g^{7} e^{3} - 360 \, a^{4} b^{4} c^{2} d f^{5} g^{7} e^{3} - 480 \, a^{5} b^{2} c^{3} d f^{5} g^{7} e^{3} - 30 \, a^{3} b^{7} d f^{4} g^{8} e^{3} + 450 \, a^{5} b^{3} c^{2} d f^{4} g^{8} e^{3} + 120 \, a^{6} b c^{3} d f^{4} g^{8} e^{3} + 40 \, a^{4} b^{6} d f^{3} g^{9} e^{3} - 100 \, a^{5} b^{4} c d f^{3} g^{9} e^{3} - 240 \, a^{6} b^{2} c^{2} d f^{3} g^{9} e^{3} - 30 \, a^{5} b^{5} d f^{2} g^{10} e^{3} + 108 \, a^{6} b^{3} c d f^{2} g^{10} e^{3} + 48 \, a^{7} b c^{2} d f^{2} g^{10} e^{3} + 12 \, a^{6} b^{4} d f g^{11} e^{3} - 48 \, a^{7} b^{2} c d f g^{11} e^{3} - 2 \, a^{7} b^{3} d g^{12} e^{3} + 8 \, a^{8} b c d g^{12} e^{3} + a^{2} b^{2} c^{6} f^{12} e^{4} - 4 \, a^{3} c^{7} f^{12} e^{4} - 6 \, a^{2} b^{3} c^{5} f^{11} g e^{4} + 24 \, a^{3} b c^{6} f^{11} g e^{4} + 15 \, a^{2} b^{4} c^{4} f^{10} g^{2} e^{4} - 54 \, a^{3} b^{2} c^{5} f^{10} g^{2} e^{4} - 24 \, a^{4} c^{6} f^{10} g^{2} e^{4} - 20 \, a^{2} b^{5} c^{3} f^{9} g^{3} e^{4} + 50 \, a^{3} b^{3} c^{4} f^{9} g^{3} e^{4} + 120 \, a^{4} b c^{5} f^{9} g^{3} e^{4} + 15 \, a^{2} b^{6} c^{2} f^{8} g^{4} e^{4} - 225 \, a^{4} b^{2} c^{4} f^{8} g^{4} e^{4} - 60 \, a^{5} c^{5} f^{8} g^{4} e^{4} - 6 \, a^{2} b^{7} c f^{7} g^{5} e^{4} - 36 \, a^{3} b^{5} c^{2} f^{7} g^{5} e^{4} + 180 \, a^{4} b^{3} c^{3} f^{7} g^{5} e^{4} + 240 \, a^{5} b c^{4} f^{7} g^{5} e^{4} + a^{2} b^{8} f^{6} g^{6} e^{4} + 26 \, a^{3} b^{6} c f^{6} g^{6} e^{4} - 30 \, a^{4} b^{4} c^{2} f^{6} g^{6} e^{4} - 340 \, a^{5} b^{2} c^{3} f^{6} g^{6} e^{4} - 80 \, a^{6} c^{4} f^{6} g^{6} e^{4} - 6 \, a^{3} b^{7} f^{5} g^{7} e^{4} - 36 \, a^{4} b^{5} c f^{5} g^{7} e^{4} + 180 \, a^{5} b^{3} c^{2} f^{5} g^{7} e^{4} + 240 \, a^{6} b c^{3} f^{5} g^{7} e^{4} + 15 \, a^{4} b^{6} f^{4} g^{8} e^{4} - 225 \, a^{6} b^{2} c^{2} f^{4} g^{8} e^{4} - 60 \, a^{7} c^{3} f^{4} g^{8} e^{4} - 20 \, a^{5} b^{5} f^{3} g^{9} e^{4} + 50 \, a^{6} b^{3} c f^{3} g^{9} e^{4} + 120 \, a^{7} b c^{2} f^{3} g^{9} e^{4} + 15 \, a^{6} b^{4} f^{2} g^{10} e^{4} - 54 \, a^{7} b^{2} c f^{2} g^{10} e^{4} - 24 \, a^{8} c^{2} f^{2} g^{10} e^{4} - 6 \, a^{7} b^{3} f g^{11} e^{4} + 24 \, a^{8} b c f g^{11} e^{4} + a^{8} b^{2} g^{12} e^{4} - 4 \, a^{9} c g^{12} e^{4}} + \frac{b c^{8} d^{3} f^{9} - 6 \, b^{2} c^{7} d^{3} f^{8} g + 6 \, a c^{8} d^{3} f^{8} g + 15 \, b^{3} c^{6} d^{3} f^{7} g^{2} - 24 \, a b c^{7} d^{3} f^{7} g^{2} - 20 \, b^{4} c^{5} d^{3} f^{6} g^{3} + 34 \, a b^{2} c^{6} d^{3} f^{6} g^{3} + 16 \, a^{2} c^{7} d^{3} f^{6} g^{3} + 15 \, b^{5} c^{4} d^{3} f^{5} g^{4} - 15 \, a b^{3} c^{5} d^{3} f^{5} g^{4} - 54 \, a^{2} b c^{6} d^{3} f^{5} g^{4} - 6 \, b^{6} c^{3} d^{3} f^{4} g^{5} - 9 \, a b^{4} c^{4} d^{3} f^{4} g^{5} + 66 \, a^{2} b^{2} c^{5} d^{3} f^{4} g^{5} + 12 \, a^{3} c^{6} d^{3} f^{4} g^{5} + b^{7} c^{2} d^{3} f^{3} g^{6} + 11 \, a b^{5} c^{3} d^{3} f^{3} g^{6} - 31 \, a^{2} b^{3} c^{4} d^{3} f^{3} g^{6} - 32 \, a^{3} b c^{5} d^{3} f^{3} g^{6} - 3 \, a b^{6} c^{2} d^{3} f^{2} g^{7} + 30 \, a^{3} b^{2} c^{4} d^{3} f^{2} g^{7} + 3 \, a^{2} b^{5} c^{2} d^{3} f g^{8} - 9 \, a^{3} b^{3} c^{3} d^{3} f g^{8} - 3 \, a^{4} b c^{4} d^{3} f g^{8} - a^{3} b^{4} c^{2} d^{3} g^{9} + 4 \, a^{4} b^{2} c^{3} d^{3} g^{9} - 2 \, a^{5} c^{4} d^{3} g^{9} - 2 \, b^{2} c^{7} d^{2} f^{9} e + 2 \, a c^{8} d^{2} f^{9} e + 12 \, b^{3} c^{6} d^{2} f^{8} g e - 21 \, a b c^{7} d^{2} f^{8} g e - 30 \, b^{4} c^{5} d^{2} f^{7} g^{2} e + 66 \, a b^{2} c^{6} d^{2} f^{7} g^{2} e + 40 \, b^{5} c^{4} d^{2} f^{6} g^{3} e - 89 \, a b^{3} c^{5} d^{2} f^{6} g^{3} e - 32 \, a^{2} b c^{6} d^{2} f^{6} g^{3} e - 30 \, b^{6} c^{3} d^{2} f^{5} g^{4} e + 45 \, a b^{4} c^{4} d^{2} f^{5} g^{4} e + 114 \, a^{2} b^{2} c^{5} d^{2} f^{5} g^{4} e - 12 \, a^{3} c^{6} d^{2} f^{5} g^{4} e + 12 \, b^{7} c^{2} d^{2} f^{4} g^{5} e + 12 \, a b^{5} c^{3} d^{2} f^{4} g^{5} e - 147 \, a^{2} b^{3} c^{4} d^{2} f^{4} g^{5} e + 6 \, a^{3} b c^{5} d^{2} f^{4} g^{5} e - 2 \, b^{8} c d^{2} f^{3} g^{6} e - 21 \, a b^{6} c^{2} d^{2} f^{3} g^{6} e + 74 \, a^{2} b^{4} c^{3} d^{2} f^{3} g^{6} e + 46 \, a^{3} b^{2} c^{4} d^{2} f^{3} g^{6} e - 16 \, a^{4} c^{5} d^{2} f^{3} g^{6} e + 6 \, a b^{7} c d^{2} f^{2} g^{7} e - 3 \, a^{2} b^{5} c^{2} d^{2} f^{2} g^{7} e - 63 \, a^{3} b^{3} c^{3} d^{2} f^{2} g^{7} e + 24 \, a^{4} b c^{4} d^{2} f^{2} g^{7} e - 6 \, a^{2} b^{6} c d^{2} f g^{8} e + 21 \, a^{3} b^{4} c^{2} d^{2} f g^{8} e - 6 \, a^{5} c^{4} d^{2} f g^{8} e + 2 \, a^{3} b^{5} c d^{2} g^{9} e - 9 \, a^{4} b^{3} c^{2} d^{2} g^{9} e + 7 \, a^{5} b c^{3} d^{2} g^{9} e + b^{3} c^{6} d f^{9} e^{2} - a b c^{7} d f^{9} e^{2} - 6 \, b^{4} c^{5} d f^{8} g e^{2} + 9 \, a b^{2} c^{6} d f^{8} g e^{2} + 6 \, a^{2} c^{7} d f^{8} g e^{2} + 15 \, b^{5} c^{4} d f^{7} g^{2} e^{2} - 27 \, a b^{3} c^{5} d f^{7} g^{2} e^{2} - 24 \, a^{2} b c^{6} d f^{7} g^{2} e^{2} - 20 \, b^{6} c^{3} d f^{6} g^{3} e^{2} + 35 \, a b^{4} c^{4} d f^{6} g^{3} e^{2} + 50 \, a^{2} b^{2} c^{5} d f^{6} g^{3} e^{2} + 16 \, a^{3} c^{6} d f^{6} g^{3} e^{2} + 15 \, b^{7} c^{2} d f^{5} g^{4} e^{2} - 15 \, a b^{5} c^{3} d f^{5} g^{4} e^{2} - 75 \, a^{2} b^{3} c^{4} d f^{5} g^{4} e^{2} - 42 \, a^{3} b c^{5} d f^{5} g^{4} e^{2} - 6 \, b^{8} c d f^{4} g^{5} e^{2} - 9 \, a b^{6} c^{2} d f^{4} g^{5} e^{2} + 72 \, a^{2} b^{4} c^{3} d f^{4} g^{5} e^{2} + 48 \, a^{3} b^{2} c^{4} d f^{4} g^{5} e^{2} + 12 \, a^{4} c^{5} d f^{4} g^{5} e^{2} + b^{9} d f^{3} g^{6} e^{2} + 11 \, a b^{7} c d f^{3} g^{6} e^{2} - 32 \, a^{2} b^{5} c^{2} d f^{3} g^{6} e^{2} - 45 \, a^{3} b^{3} c^{3} d f^{3} g^{6} e^{2} - 16 \, a^{4} b c^{4} d f^{3} g^{6} e^{2} - 3 \, a b^{8} d f^{2} g^{7} e^{2} + 33 \, a^{3} b^{4} c^{2} d f^{2} g^{7} e^{2} + 6 \, a^{4} b^{2} c^{3} d f^{2} g^{7} e^{2} + 3 \, a^{2} b^{7} d f g^{8} e^{2} - 9 \, a^{3} b^{5} c d f g^{8} e^{2} - 6 \, a^{4} b^{3} c^{2} d f g^{8} e^{2} + 3 \, a^{5} b c^{3} d f g^{8} e^{2} - a^{3} b^{6} d g^{9} e^{2} + 4 \, a^{4} b^{4} c d g^{9} e^{2} - a^{5} b^{2} c^{2} d g^{9} e^{2} - 2 \, a^{6} c^{3} d g^{9} e^{2} - a b^{2} c^{6} f^{9} e^{3} + 2 \, a^{2} c^{7} f^{9} e^{3} + 6 \, a b^{3} c^{5} f^{8} g e^{3} - 15 \, a^{2} b c^{6} f^{8} g e^{3} - 15 \, a b^{4} c^{4} f^{7} g^{2} e^{3} + 42 \, a^{2} b^{2} c^{5} f^{7} g^{2} e^{3} + 20 \, a b^{5} c^{3} f^{6} g^{3} e^{3} - 55 \, a^{2} b^{3} c^{4} f^{6} g^{3} e^{3} - 16 \, a^{3} b c^{5} f^{6} g^{3} e^{3} - 15 \, a b^{6} c^{2} f^{5} g^{4} e^{3} + 30 \, a^{2} b^{4} c^{3} f^{5} g^{4} e^{3} + 60 \, a^{3} b^{2} c^{4} f^{5} g^{4} e^{3} - 12 \, a^{4} c^{5} f^{5} g^{4} e^{3} + 6 \, a b^{7} c f^{4} g^{5} e^{3} + 3 \, a^{2} b^{5} c^{2} f^{4} g^{5} e^{3} - 81 \, a^{3} b^{3} c^{3} f^{4} g^{5} e^{3} + 18 \, a^{4} b c^{4} f^{4} g^{5} e^{3} - a b^{8} f^{3} g^{6} e^{3} - 10 \, a^{2} b^{6} c f^{3} g^{6} e^{3} + 43 \, a^{3} b^{4} c^{2} f^{3} g^{6} e^{3} + 14 \, a^{4} b^{2} c^{3} f^{3} g^{6} e^{3} - 16 \, a^{5} c^{4} f^{3} g^{6} e^{3} + 3 \, a^{2} b^{7} f^{2} g^{7} e^{3} - 3 \, a^{3} b^{5} c f^{2} g^{7} e^{3} - 33 \, a^{4} b^{3} c^{2} f^{2} g^{7} e^{3} + 24 \, a^{5} b c^{3} f^{2} g^{7} e^{3} - 3 \, a^{3} b^{6} f g^{8} e^{3} + 12 \, a^{4} b^{4} c f g^{8} e^{3} - 3 \, a^{5} b^{2} c^{2} f g^{8} e^{3} - 6 \, a^{6} c^{3} f g^{8} e^{3} + a^{4} b^{5} g^{9} e^{3} - 5 \, a^{5} b^{3} c g^{9} e^{3} + 5 \, a^{6} b c^{2} g^{9} e^{3}}{b^{2} c^{8} d^{4} f^{12} - 4 \, a c^{9} d^{4} f^{12} - 6 \, b^{3} c^{7} d^{4} f^{11} g + 24 \, a b c^{8} d^{4} f^{11} g + 15 \, b^{4} c^{6} d^{4} f^{10} g^{2} - 54 \, a b^{2} c^{7} d^{4} f^{10} g^{2} - 24 \, a^{2} c^{8} d^{4} f^{10} g^{2} - 20 \, b^{5} c^{5} d^{4} f^{9} g^{3} + 50 \, a b^{3} c^{6} d^{4} f^{9} g^{3} + 120 \, a^{2} b c^{7} d^{4} f^{9} g^{3} + 15 \, b^{6} c^{4} d^{4} f^{8} g^{4} - 225 \, a^{2} b^{2} c^{6} d^{4} f^{8} g^{4} - 60 \, a^{3} c^{7} d^{4} f^{8} g^{4} - 6 \, b^{7} c^{3} d^{4} f^{7} g^{5} - 36 \, a b^{5} c^{4} d^{4} f^{7} g^{5} + 180 \, a^{2} b^{3} c^{5} d^{4} f^{7} g^{5} + 240 \, a^{3} b c^{6} d^{4} f^{7} g^{5} + b^{8} c^{2} d^{4} f^{6} g^{6} + 26 \, a b^{6} c^{3} d^{4} f^{6} g^{6} - 30 \, a^{2} b^{4} c^{4} d^{4} f^{6} g^{6} - 340 \, a^{3} b^{2} c^{5} d^{4} f^{6} g^{6} - 80 \, a^{4} c^{6} d^{4} f^{6} g^{6} - 6 \, a b^{7} c^{2} d^{4} f^{5} g^{7} - 36 \, a^{2} b^{5} c^{3} d^{4} f^{5} g^{7} + 180 \, a^{3} b^{3} c^{4} d^{4} f^{5} g^{7} + 240 \, a^{4} b c^{5} d^{4} f^{5} g^{7} + 15 \, a^{2} b^{6} c^{2} d^{4} f^{4} g^{8} - 225 \, a^{4} b^{2} c^{4} d^{4} f^{4} g^{8} - 60 \, a^{5} c^{5} d^{4} f^{4} g^{8} - 20 \, a^{3} b^{5} c^{2} d^{4} f^{3} g^{9} + 50 \, a^{4} b^{3} c^{3} d^{4} f^{3} g^{9} + 120 \, a^{5} b c^{4} d^{4} f^{3} g^{9} + 15 \, a^{4} b^{4} c^{2} d^{4} f^{2} g^{10} - 54 \, a^{5} b^{2} c^{3} d^{4} f^{2} g^{10} - 24 \, a^{6} c^{4} d^{4} f^{2} g^{10} - 6 \, a^{5} b^{3} c^{2} d^{4} f g^{11} + 24 \, a^{6} b c^{3} d^{4} f g^{11} + a^{6} b^{2} c^{2} d^{4} g^{12} - 4 \, a^{7} c^{3} d^{4} g^{12} - 2 \, b^{3} c^{7} d^{3} f^{12} e + 8 \, a b c^{8} d^{3} f^{12} e + 12 \, b^{4} c^{6} d^{3} f^{11} g e - 48 \, a b^{2} c^{7} d^{3} f^{11} g e - 30 \, b^{5} c^{5} d^{3} f^{10} g^{2} e + 108 \, a b^{3} c^{6} d^{3} f^{10} g^{2} e + 48 \, a^{2} b c^{7} d^{3} f^{10} g^{2} e + 40 \, b^{6} c^{4} d^{3} f^{9} g^{3} e - 100 \, a b^{4} c^{5} d^{3} f^{9} g^{3} e - 240 \, a^{2} b^{2} c^{6} d^{3} f^{9} g^{3} e - 30 \, b^{7} c^{3} d^{3} f^{8} g^{4} e + 450 \, a^{2} b^{3} c^{5} d^{3} f^{8} g^{4} e + 120 \, a^{3} b c^{6} d^{3} f^{8} g^{4} e + 12 \, b^{8} c^{2} d^{3} f^{7} g^{5} e + 72 \, a b^{6} c^{3} d^{3} f^{7} g^{5} e - 360 \, a^{2} b^{4} c^{4} d^{3} f^{7} g^{5} e - 480 \, a^{3} b^{2} c^{5} d^{3} f^{7} g^{5} e - 2 \, b^{9} c d^{3} f^{6} g^{6} e - 52 \, a b^{7} c^{2} d^{3} f^{6} g^{6} e + 60 \, a^{2} b^{5} c^{3} d^{3} f^{6} g^{6} e + 680 \, a^{3} b^{3} c^{4} d^{3} f^{6} g^{6} e + 160 \, a^{4} b c^{5} d^{3} f^{6} g^{6} e + 12 \, a b^{8} c d^{3} f^{5} g^{7} e + 72 \, a^{2} b^{6} c^{2} d^{3} f^{5} g^{7} e - 360 \, a^{3} b^{4} c^{3} d^{3} f^{5} g^{7} e - 480 \, a^{4} b^{2} c^{4} d^{3} f^{5} g^{7} e - 30 \, a^{2} b^{7} c d^{3} f^{4} g^{8} e + 450 \, a^{4} b^{3} c^{3} d^{3} f^{4} g^{8} e + 120 \, a^{5} b c^{4} d^{3} f^{4} g^{8} e + 40 \, a^{3} b^{6} c d^{3} f^{3} g^{9} e - 100 \, a^{4} b^{4} c^{2} d^{3} f^{3} g^{9} e - 240 \, a^{5} b^{2} c^{3} d^{3} f^{3} g^{9} e - 30 \, a^{4} b^{5} c d^{3} f^{2} g^{10} e + 108 \, a^{5} b^{3} c^{2} d^{3} f^{2} g^{10} e + 48 \, a^{6} b c^{3} d^{3} f^{2} g^{10} e + 12 \, a^{5} b^{4} c d^{3} f g^{11} e - 48 \, a^{6} b^{2} c^{2} d^{3} f g^{11} e - 2 \, a^{6} b^{3} c d^{3} g^{12} e + 8 \, a^{7} b c^{2} d^{3} g^{12} e + b^{4} c^{6} d^{2} f^{12} e^{2} - 2 \, a b^{2} c^{7} d^{2} f^{12} e^{2} - 8 \, a^{2} c^{8} d^{2} f^{12} e^{2} - 6 \, b^{5} c^{5} d^{2} f^{11} g e^{2} + 12 \, a b^{3} c^{6} d^{2} f^{11} g e^{2} + 48 \, a^{2} b c^{7} d^{2} f^{11} g e^{2} + 15 \, b^{6} c^{4} d^{2} f^{10} g^{2} e^{2} - 24 \, a b^{4} c^{5} d^{2} f^{10} g^{2} e^{2} - 132 \, a^{2} b^{2} c^{6} d^{2} f^{10} g^{2} e^{2} - 48 \, a^{3} c^{7} d^{2} f^{10} g^{2} e^{2} - 20 \, b^{7} c^{3} d^{2} f^{9} g^{3} e^{2} + 10 \, a b^{5} c^{4} d^{2} f^{9} g^{3} e^{2} + 220 \, a^{2} b^{3} c^{5} d^{2} f^{9} g^{3} e^{2} + 240 \, a^{3} b c^{6} d^{2} f^{9} g^{3} e^{2} + 15 \, b^{8} c^{2} d^{2} f^{8} g^{4} e^{2} + 30 \, a b^{6} c^{3} d^{2} f^{8} g^{4} e^{2} - 225 \, a^{2} b^{4} c^{4} d^{2} f^{8} g^{4} e^{2} - 510 \, a^{3} b^{2} c^{5} d^{2} f^{8} g^{4} e^{2} - 120 \, a^{4} c^{6} d^{2} f^{8} g^{4} e^{2} - 6 \, b^{9} c d^{2} f^{7} g^{5} e^{2} - 48 \, a b^{7} c^{2} d^{2} f^{7} g^{5} e^{2} + 108 \, a^{2} b^{5} c^{3} d^{2} f^{7} g^{5} e^{2} + 600 \, a^{3} b^{3} c^{4} d^{2} f^{7} g^{5} e^{2} + 480 \, a^{4} b c^{5} d^{2} f^{7} g^{5} e^{2} + b^{10} d^{2} f^{6} g^{6} e^{2} + 28 \, a b^{8} c d^{2} f^{6} g^{6} e^{2} + 22 \, a^{2} b^{6} c^{2} d^{2} f^{6} g^{6} e^{2} - 400 \, a^{3} b^{4} c^{3} d^{2} f^{6} g^{6} e^{2} - 760 \, a^{4} b^{2} c^{4} d^{2} f^{6} g^{6} e^{2} - 160 \, a^{5} c^{5} d^{2} f^{6} g^{6} e^{2} - 6 \, a b^{9} d^{2} f^{5} g^{7} e^{2} - 48 \, a^{2} b^{7} c d^{2} f^{5} g^{7} e^{2} + 108 \, a^{3} b^{5} c^{2} d^{2} f^{5} g^{7} e^{2} + 600 \, a^{4} b^{3} c^{3} d^{2} f^{5} g^{7} e^{2} + 480 \, a^{5} b c^{4} d^{2} f^{5} g^{7} e^{2} + 15 \, a^{2} b^{8} d^{2} f^{4} g^{8} e^{2} + 30 \, a^{3} b^{6} c d^{2} f^{4} g^{8} e^{2} - 225 \, a^{4} b^{4} c^{2} d^{2} f^{4} g^{8} e^{2} - 510 \, a^{5} b^{2} c^{3} d^{2} f^{4} g^{8} e^{2} - 120 \, a^{6} c^{4} d^{2} f^{4} g^{8} e^{2} - 20 \, a^{3} b^{7} d^{2} f^{3} g^{9} e^{2} + 10 \, a^{4} b^{5} c d^{2} f^{3} g^{9} e^{2} + 220 \, a^{5} b^{3} c^{2} d^{2} f^{3} g^{9} e^{2} + 240 \, a^{6} b c^{3} d^{2} f^{3} g^{9} e^{2} + 15 \, a^{4} b^{6} d^{2} f^{2} g^{10} e^{2} - 24 \, a^{5} b^{4} c d^{2} f^{2} g^{10} e^{2} - 132 \, a^{6} b^{2} c^{2} d^{2} f^{2} g^{10} e^{2} - 48 \, a^{7} c^{3} d^{2} f^{2} g^{10} e^{2} - 6 \, a^{5} b^{5} d^{2} f g^{11} e^{2} + 12 \, a^{6} b^{3} c d^{2} f g^{11} e^{2} + 48 \, a^{7} b c^{2} d^{2} f g^{11} e^{2} + a^{6} b^{4} d^{2} g^{12} e^{2} - 2 \, a^{7} b^{2} c d^{2} g^{12} e^{2} - 8 \, a^{8} c^{2} d^{2} g^{12} e^{2} - 2 \, a b^{3} c^{6} d f^{12} e^{3} + 8 \, a^{2} b c^{7} d f^{12} e^{3} + 12 \, a b^{4} c^{5} d f^{11} g e^{3} - 48 \, a^{2} b^{2} c^{6} d f^{11} g e^{3} - 30 \, a b^{5} c^{4} d f^{10} g^{2} e^{3} + 108 \, a^{2} b^{3} c^{5} d f^{10} g^{2} e^{3} + 48 \, a^{3} b c^{6} d f^{10} g^{2} e^{3} + 40 \, a b^{6} c^{3} d f^{9} g^{3} e^{3} - 100 \, a^{2} b^{4} c^{4} d f^{9} g^{3} e^{3} - 240 \, a^{3} b^{2} c^{5} d f^{9} g^{3} e^{3} - 30 \, a b^{7} c^{2} d f^{8} g^{4} e^{3} + 450 \, a^{3} b^{3} c^{4} d f^{8} g^{4} e^{3} + 120 \, a^{4} b c^{5} d f^{8} g^{4} e^{3} + 12 \, a b^{8} c d f^{7} g^{5} e^{3} + 72 \, a^{2} b^{6} c^{2} d f^{7} g^{5} e^{3} - 360 \, a^{3} b^{4} c^{3} d f^{7} g^{5} e^{3} - 480 \, a^{4} b^{2} c^{4} d f^{7} g^{5} e^{3} - 2 \, a b^{9} d f^{6} g^{6} e^{3} - 52 \, a^{2} b^{7} c d f^{6} g^{6} e^{3} + 60 \, a^{3} b^{5} c^{2} d f^{6} g^{6} e^{3} + 680 \, a^{4} b^{3} c^{3} d f^{6} g^{6} e^{3} + 160 \, a^{5} b c^{4} d f^{6} g^{6} e^{3} + 12 \, a^{2} b^{8} d f^{5} g^{7} e^{3} + 72 \, a^{3} b^{6} c d f^{5} g^{7} e^{3} - 360 \, a^{4} b^{4} c^{2} d f^{5} g^{7} e^{3} - 480 \, a^{5} b^{2} c^{3} d f^{5} g^{7} e^{3} - 30 \, a^{3} b^{7} d f^{4} g^{8} e^{3} + 450 \, a^{5} b^{3} c^{2} d f^{4} g^{8} e^{3} + 120 \, a^{6} b c^{3} d f^{4} g^{8} e^{3} + 40 \, a^{4} b^{6} d f^{3} g^{9} e^{3} - 100 \, a^{5} b^{4} c d f^{3} g^{9} e^{3} - 240 \, a^{6} b^{2} c^{2} d f^{3} g^{9} e^{3} - 30 \, a^{5} b^{5} d f^{2} g^{10} e^{3} + 108 \, a^{6} b^{3} c d f^{2} g^{10} e^{3} + 48 \, a^{7} b c^{2} d f^{2} g^{10} e^{3} + 12 \, a^{6} b^{4} d f g^{11} e^{3} - 48 \, a^{7} b^{2} c d f g^{11} e^{3} - 2 \, a^{7} b^{3} d g^{12} e^{3} + 8 \, a^{8} b c d g^{12} e^{3} + a^{2} b^{2} c^{6} f^{12} e^{4} - 4 \, a^{3} c^{7} f^{12} e^{4} - 6 \, a^{2} b^{3} c^{5} f^{11} g e^{4} + 24 \, a^{3} b c^{6} f^{11} g e^{4} + 15 \, a^{2} b^{4} c^{4} f^{10} g^{2} e^{4} - 54 \, a^{3} b^{2} c^{5} f^{10} g^{2} e^{4} - 24 \, a^{4} c^{6} f^{10} g^{2} e^{4} - 20 \, a^{2} b^{5} c^{3} f^{9} g^{3} e^{4} + 50 \, a^{3} b^{3} c^{4} f^{9} g^{3} e^{4} + 120 \, a^{4} b c^{5} f^{9} g^{3} e^{4} + 15 \, a^{2} b^{6} c^{2} f^{8} g^{4} e^{4} - 225 \, a^{4} b^{2} c^{4} f^{8} g^{4} e^{4} - 60 \, a^{5} c^{5} f^{8} g^{4} e^{4} - 6 \, a^{2} b^{7} c f^{7} g^{5} e^{4} - 36 \, a^{3} b^{5} c^{2} f^{7} g^{5} e^{4} + 180 \, a^{4} b^{3} c^{3} f^{7} g^{5} e^{4} + 240 \, a^{5} b c^{4} f^{7} g^{5} e^{4} + a^{2} b^{8} f^{6} g^{6} e^{4} + 26 \, a^{3} b^{6} c f^{6} g^{6} e^{4} - 30 \, a^{4} b^{4} c^{2} f^{6} g^{6} e^{4} - 340 \, a^{5} b^{2} c^{3} f^{6} g^{6} e^{4} - 80 \, a^{6} c^{4} f^{6} g^{6} e^{4} - 6 \, a^{3} b^{7} f^{5} g^{7} e^{4} - 36 \, a^{4} b^{5} c f^{5} g^{7} e^{4} + 180 \, a^{5} b^{3} c^{2} f^{5} g^{7} e^{4} + 240 \, a^{6} b c^{3} f^{5} g^{7} e^{4} + 15 \, a^{4} b^{6} f^{4} g^{8} e^{4} - 225 \, a^{6} b^{2} c^{2} f^{4} g^{8} e^{4} - 60 \, a^{7} c^{3} f^{4} g^{8} e^{4} - 20 \, a^{5} b^{5} f^{3} g^{9} e^{4} + 50 \, a^{6} b^{3} c f^{3} g^{9} e^{4} + 120 \, a^{7} b c^{2} f^{3} g^{9} e^{4} + 15 \, a^{6} b^{4} f^{2} g^{10} e^{4} - 54 \, a^{7} b^{2} c f^{2} g^{10} e^{4} - 24 \, a^{8} c^{2} f^{2} g^{10} e^{4} - 6 \, a^{7} b^{3} f g^{11} e^{4} + 24 \, a^{8} b c f g^{11} e^{4} + a^{8} b^{2} g^{12} e^{4} - 4 \, a^{9} c g^{12} e^{4}}\right)}}{\sqrt{c x^{2} + b x + a}} + \frac{{\left(48 \, c^{2} d^{2} f^{2} g^{5} - 48 \, b c d^{2} f g^{6} + 15 \, b^{2} d^{2} g^{7} - 12 \, a c d^{2} g^{7} - 120 \, c^{2} d f^{3} g^{4} e + 132 \, b c d f^{2} g^{5} e - 42 \, b^{2} d f g^{6} e + 12 \, a b d g^{7} e + 80 \, c^{2} f^{4} g^{3} e^{2} - 100 \, b c f^{3} g^{4} e^{2} + 35 \, b^{2} f^{2} g^{5} e^{2} + 28 \, a c f^{2} g^{5} e^{2} - 28 \, a b f g^{6} e^{2} + 8 \, a^{2} g^{7} e^{2}\right)} \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} g + \sqrt{c} f}{\sqrt{-c f^{2} + b f g - a g^{2}}}\right)}{4 \, {\left(c^{3} d^{3} f^{6} g^{3} - 3 \, b c^{2} d^{3} f^{5} g^{4} + 3 \, b^{2} c d^{3} f^{4} g^{5} + 3 \, a c^{2} d^{3} f^{4} g^{5} - b^{3} d^{3} f^{3} g^{6} - 6 \, a b c d^{3} f^{3} g^{6} + 3 \, a b^{2} d^{3} f^{2} g^{7} + 3 \, a^{2} c d^{3} f^{2} g^{7} - 3 \, a^{2} b d^{3} f g^{8} + a^{3} d^{3} g^{9} - 3 \, c^{3} d^{2} f^{7} g^{2} e + 9 \, b c^{2} d^{2} f^{6} g^{3} e - 9 \, b^{2} c d^{2} f^{5} g^{4} e - 9 \, a c^{2} d^{2} f^{5} g^{4} e + 3 \, b^{3} d^{2} f^{4} g^{5} e + 18 \, a b c d^{2} f^{4} g^{5} e - 9 \, a b^{2} d^{2} f^{3} g^{6} e - 9 \, a^{2} c d^{2} f^{3} g^{6} e + 9 \, a^{2} b d^{2} f^{2} g^{7} e - 3 \, a^{3} d^{2} f g^{8} e + 3 \, c^{3} d f^{8} g e^{2} - 9 \, b c^{2} d f^{7} g^{2} e^{2} + 9 \, b^{2} c d f^{6} g^{3} e^{2} + 9 \, a c^{2} d f^{6} g^{3} e^{2} - 3 \, b^{3} d f^{5} g^{4} e^{2} - 18 \, a b c d f^{5} g^{4} e^{2} + 9 \, a b^{2} d f^{4} g^{5} e^{2} + 9 \, a^{2} c d f^{4} g^{5} e^{2} - 9 \, a^{2} b d f^{3} g^{6} e^{2} + 3 \, a^{3} d f^{2} g^{7} e^{2} - c^{3} f^{9} e^{3} + 3 \, b c^{2} f^{8} g e^{3} - 3 \, b^{2} c f^{7} g^{2} e^{3} - 3 \, a c^{2} f^{7} g^{2} e^{3} + b^{3} f^{6} g^{3} e^{3} + 6 \, a b c f^{6} g^{3} e^{3} - 3 \, a b^{2} f^{5} g^{4} e^{3} - 3 \, a^{2} c f^{5} g^{4} e^{3} + 3 \, a^{2} b f^{4} g^{5} e^{3} - a^{3} f^{3} g^{6} e^{3}\right)} \sqrt{-c f^{2} + b f g - a g^{2}}} - \frac{2 \, \arctan\left(-\frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} e + \sqrt{c} d}{\sqrt{-c d^{2} + b d e - a e^{2}}}\right) e^{5}}{{\left(c d^{5} g^{3} - 3 \, c d^{4} f g^{2} e - b d^{4} g^{3} e + 3 \, c d^{3} f^{2} g e^{2} + 3 \, b d^{3} f g^{2} e^{2} + a d^{3} g^{3} e^{2} - c d^{2} f^{3} e^{3} - 3 \, b d^{2} f^{2} g e^{3} - 3 \, a d^{2} f g^{2} e^{3} + b d f^{3} e^{4} + 3 \, a d f^{2} g e^{4} - a f^{3} e^{5}\right)} \sqrt{-c d^{2} + b d e - a e^{2}}} - \frac{24 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} c^{2} d f^{2} g^{5} - 24 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b c d f g^{6} + 7 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b^{2} d g^{7} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a c d g^{7} - 32 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} c^{2} f^{3} g^{4} e + 36 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b c f^{2} g^{5} e - 11 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b^{2} f g^{6} e - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a c f g^{6} e + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a b g^{7} e + 56 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{5}{2}} d f^{3} g^{4} - 48 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b c^{\frac{3}{2}} d f^{2} g^{5} + 13 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} \sqrt{c} d f g^{6} - 28 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{\frac{3}{2}} d f g^{6} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a b \sqrt{c} d g^{7} - 72 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{5}{2}} f^{4} g^{3} e + 68 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b c^{\frac{3}{2}} f^{3} g^{4} e - 17 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} \sqrt{c} f^{2} g^{5} e + 20 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{\frac{3}{2}} f^{2} g^{5} e - 12 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a b \sqrt{c} f g^{6} e + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a^{2} \sqrt{c} g^{7} e + 56 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{2} d f^{3} g^{4} - 44 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{2} c d f^{2} g^{5} - 88 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a c^{2} d f^{2} g^{5} + 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} d f g^{6} + 60 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c d f g^{6} - 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b^{2} d g^{7} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} c d g^{7} - 72 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{2} f^{4} g^{3} e + 64 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{2} c f^{3} g^{4} e + 112 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a c^{2} f^{3} g^{4} e - 13 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} f^{2} g^{5} e - 104 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c f^{2} g^{5} e + 17 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b^{2} f g^{6} e + 28 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} c f g^{6} e - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} b g^{7} e + 14 \, b^{2} c^{\frac{3}{2}} d f^{3} g^{4} - 7 \, b^{3} \sqrt{c} d f^{2} g^{5} - 44 \, a b c^{\frac{3}{2}} d f^{2} g^{5} + 23 \, a b^{2} \sqrt{c} d f g^{6} + 28 \, a^{2} c^{\frac{3}{2}} d f g^{6} - 16 \, a^{2} b \sqrt{c} d g^{7} - 18 \, b^{2} c^{\frac{3}{2}} f^{4} g^{3} e + 11 \, b^{3} \sqrt{c} f^{3} g^{4} e + 56 \, a b c^{\frac{3}{2}} f^{3} g^{4} e - 39 \, a b^{2} \sqrt{c} f^{2} g^{5} e - 36 \, a^{2} c^{\frac{3}{2}} f^{2} g^{5} e + 36 \, a^{2} b \sqrt{c} f g^{6} e - 8 \, a^{3} \sqrt{c} g^{7} e}{4 \, {\left(c^{3} d^{2} f^{6} g^{2} - 3 \, b c^{2} d^{2} f^{5} g^{3} + 3 \, b^{2} c d^{2} f^{4} g^{4} + 3 \, a c^{2} d^{2} f^{4} g^{4} - b^{3} d^{2} f^{3} g^{5} - 6 \, a b c d^{2} f^{3} g^{5} + 3 \, a b^{2} d^{2} f^{2} g^{6} + 3 \, a^{2} c d^{2} f^{2} g^{6} - 3 \, a^{2} b d^{2} f g^{7} + a^{3} d^{2} g^{8} - 2 \, c^{3} d f^{7} g e + 6 \, b c^{2} d f^{6} g^{2} e - 6 \, b^{2} c d f^{5} g^{3} e - 6 \, a c^{2} d f^{5} g^{3} e + 2 \, b^{3} d f^{4} g^{4} e + 12 \, a b c d f^{4} g^{4} e - 6 \, a b^{2} d f^{3} g^{5} e - 6 \, a^{2} c d f^{3} g^{5} e + 6 \, a^{2} b d f^{2} g^{6} e - 2 \, a^{3} d f g^{7} e + c^{3} f^{8} e^{2} - 3 \, b c^{2} f^{7} g e^{2} + 3 \, b^{2} c f^{6} g^{2} e^{2} + 3 \, a c^{2} f^{6} g^{2} e^{2} - b^{3} f^{5} g^{3} e^{2} - 6 \, a b c f^{5} g^{3} e^{2} + 3 \, a b^{2} f^{4} g^{4} e^{2} + 3 \, a^{2} c f^{4} g^{4} e^{2} - 3 \, a^{2} b f^{3} g^{5} e^{2} + a^{3} f^{2} g^{6} e^{2}\right)} {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} g + 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} f + b f - a g\right)}^{2}}"," ",0,"-2*((2*c^9*d^3*f^9 - 9*b*c^8*d^3*f^8*g + 18*b^2*c^7*d^3*f^7*g^2 - 21*b^3*c^6*d^3*f^6*g^3 + 15*b^4*c^5*d^3*f^5*g^4 + 6*a*b^2*c^6*d^3*f^5*g^4 - 12*a^2*c^7*d^3*f^5*g^4 - 6*b^5*c^4*d^3*f^4*g^5 - 15*a*b^3*c^5*d^3*f^4*g^5 + 30*a^2*b*c^6*d^3*f^4*g^5 + b^6*c^3*d^3*f^3*g^6 + 12*a*b^4*c^4*d^3*f^3*g^6 - 18*a^2*b^2*c^5*d^3*f^3*g^6 - 16*a^3*c^6*d^3*f^3*g^6 - 3*a*b^5*c^3*d^3*f^2*g^7 - 3*a^2*b^3*c^4*d^3*f^2*g^7 + 24*a^3*b*c^5*d^3*f^2*g^7 + 3*a^2*b^4*c^3*d^3*f*g^8 - 6*a^3*b^2*c^4*d^3*f*g^8 - 6*a^4*c^5*d^3*f*g^8 - a^3*b^3*c^3*d^3*g^9 + 3*a^4*b*c^4*d^3*g^9 - 3*b*c^8*d^2*f^9*e + 15*b^2*c^7*d^2*f^8*g*e - 6*a*c^8*d^2*f^8*g*e - 33*b^3*c^6*d^2*f^7*g^2*e + 24*a*b*c^7*d^2*f^7*g^2*e + 41*b^4*c^5*d^2*f^6*g^3*e - 34*a*b^2*c^6*d^2*f^6*g^3*e - 16*a^2*c^7*d^2*f^6*g^3*e - 30*b^5*c^4*d^2*f^5*g^4*e + 9*a*b^3*c^5*d^2*f^5*g^4*e + 66*a^2*b*c^6*d^2*f^5*g^4*e + 12*b^6*c^3*d^2*f^4*g^5*e + 24*a*b^4*c^4*d^2*f^4*g^5*e - 96*a^2*b^2*c^5*d^2*f^4*g^5*e - 12*a^3*c^6*d^2*f^4*g^5*e - 2*b^7*c^2*d^2*f^3*g^6*e - 23*a*b^5*c^3*d^2*f^3*g^6*e + 49*a^2*b^3*c^4*d^2*f^3*g^6*e + 48*a^3*b*c^5*d^2*f^3*g^6*e + 6*a*b^6*c^2*d^2*f^2*g^7*e + 3*a^2*b^4*c^3*d^2*f^2*g^7*e - 54*a^3*b^2*c^4*d^2*f^2*g^7*e - 6*a^2*b^5*c^2*d^2*f*g^8*e + 15*a^3*b^3*c^3*d^2*f*g^8*e + 9*a^4*b*c^4*d^2*f*g^8*e + 2*a^3*b^4*c^2*d^2*g^9*e - 7*a^4*b^2*c^3*d^2*g^9*e + 2*a^5*c^4*d^2*g^9*e + b^2*c^7*d*f^9*e^2 + 2*a*c^8*d*f^9*e^2 - 6*b^3*c^6*d*f^8*g*e^2 - 3*a*b*c^7*d*f^8*g*e^2 + 15*b^4*c^5*d*f^7*g^2*e^2 - 6*a*b^2*c^6*d*f^7*g^2*e^2 - 20*b^5*c^4*d*f^6*g^3*e^2 + 13*a*b^3*c^5*d*f^6*g^3*e^2 + 16*a^2*b*c^6*d*f^6*g^3*e^2 + 15*b^6*c^3*d*f^5*g^4*e^2 - 48*a^2*b^2*c^5*d*f^5*g^4*e^2 - 12*a^3*c^6*d*f^5*g^4*e^2 - 6*b^7*c^2*d*f^4*g^5*e^2 - 15*a*b^5*c^3*d*f^4*g^5*e^2 + 51*a^2*b^3*c^4*d*f^4*g^5*e^2 + 42*a^3*b*c^5*d*f^4*g^5*e^2 + b^8*c*d*f^3*g^6*e^2 + 12*a*b^6*c^2*d*f^3*g^6*e^2 - 19*a^2*b^4*c^3*d*f^3*g^6*e^2 - 50*a^3*b^2*c^4*d*f^3*g^6*e^2 - 16*a^4*c^5*d*f^3*g^6*e^2 - 3*a*b^7*c*d*f^2*g^7*e^2 - 3*a^2*b^5*c^2*d*f^2*g^7*e^2 + 27*a^3*b^3*c^3*d*f^2*g^7*e^2 + 24*a^4*b*c^4*d*f^2*g^7*e^2 + 3*a^2*b^6*c*d*f*g^8*e^2 - 6*a^3*b^4*c^2*d*f*g^8*e^2 - 9*a^4*b^2*c^3*d*f*g^8*e^2 - 6*a^5*c^4*d*f*g^8*e^2 - a^3*b^5*c*d*g^9*e^2 + 3*a^4*b^3*c^2*d*g^9*e^2 + a^5*b*c^3*d*g^9*e^2 - a*b*c^7*f^9*e^3 + 6*a*b^2*c^6*f^8*g*e^3 - 6*a^2*c^7*f^8*g*e^3 - 15*a*b^3*c^5*f^7*g^2*e^3 + 24*a^2*b*c^6*f^7*g^2*e^3 + 20*a*b^4*c^4*f^6*g^3*e^3 - 34*a^2*b^2*c^5*f^6*g^3*e^3 - 16*a^3*c^6*f^6*g^3*e^3 - 15*a*b^5*c^3*f^5*g^4*e^3 + 15*a^2*b^3*c^4*f^5*g^4*e^3 + 54*a^3*b*c^5*f^5*g^4*e^3 + 6*a*b^6*c^2*f^4*g^5*e^3 + 9*a^2*b^4*c^3*f^4*g^5*e^3 - 66*a^3*b^2*c^4*f^4*g^5*e^3 - 12*a^4*c^5*f^4*g^5*e^3 - a*b^7*c*f^3*g^6*e^3 - 11*a^2*b^5*c^2*f^3*g^6*e^3 + 31*a^3*b^3*c^3*f^3*g^6*e^3 + 32*a^4*b*c^4*f^3*g^6*e^3 + 3*a^2*b^6*c*f^2*g^7*e^3 - 30*a^4*b^2*c^3*f^2*g^7*e^3 - 3*a^3*b^5*c*f*g^8*e^3 + 9*a^4*b^3*c^2*f*g^8*e^3 + 3*a^5*b*c^3*f*g^8*e^3 + a^4*b^4*c*g^9*e^3 - 4*a^5*b^2*c^2*g^9*e^3 + 2*a^6*c^3*g^9*e^3)*x/(b^2*c^8*d^4*f^12 - 4*a*c^9*d^4*f^12 - 6*b^3*c^7*d^4*f^11*g + 24*a*b*c^8*d^4*f^11*g + 15*b^4*c^6*d^4*f^10*g^2 - 54*a*b^2*c^7*d^4*f^10*g^2 - 24*a^2*c^8*d^4*f^10*g^2 - 20*b^5*c^5*d^4*f^9*g^3 + 50*a*b^3*c^6*d^4*f^9*g^3 + 120*a^2*b*c^7*d^4*f^9*g^3 + 15*b^6*c^4*d^4*f^8*g^4 - 225*a^2*b^2*c^6*d^4*f^8*g^4 - 60*a^3*c^7*d^4*f^8*g^4 - 6*b^7*c^3*d^4*f^7*g^5 - 36*a*b^5*c^4*d^4*f^7*g^5 + 180*a^2*b^3*c^5*d^4*f^7*g^5 + 240*a^3*b*c^6*d^4*f^7*g^5 + b^8*c^2*d^4*f^6*g^6 + 26*a*b^6*c^3*d^4*f^6*g^6 - 30*a^2*b^4*c^4*d^4*f^6*g^6 - 340*a^3*b^2*c^5*d^4*f^6*g^6 - 80*a^4*c^6*d^4*f^6*g^6 - 6*a*b^7*c^2*d^4*f^5*g^7 - 36*a^2*b^5*c^3*d^4*f^5*g^7 + 180*a^3*b^3*c^4*d^4*f^5*g^7 + 240*a^4*b*c^5*d^4*f^5*g^7 + 15*a^2*b^6*c^2*d^4*f^4*g^8 - 225*a^4*b^2*c^4*d^4*f^4*g^8 - 60*a^5*c^5*d^4*f^4*g^8 - 20*a^3*b^5*c^2*d^4*f^3*g^9 + 50*a^4*b^3*c^3*d^4*f^3*g^9 + 120*a^5*b*c^4*d^4*f^3*g^9 + 15*a^4*b^4*c^2*d^4*f^2*g^10 - 54*a^5*b^2*c^3*d^4*f^2*g^10 - 24*a^6*c^4*d^4*f^2*g^10 - 6*a^5*b^3*c^2*d^4*f*g^11 + 24*a^6*b*c^3*d^4*f*g^11 + a^6*b^2*c^2*d^4*g^12 - 4*a^7*c^3*d^4*g^12 - 2*b^3*c^7*d^3*f^12*e + 8*a*b*c^8*d^3*f^12*e + 12*b^4*c^6*d^3*f^11*g*e - 48*a*b^2*c^7*d^3*f^11*g*e - 30*b^5*c^5*d^3*f^10*g^2*e + 108*a*b^3*c^6*d^3*f^10*g^2*e + 48*a^2*b*c^7*d^3*f^10*g^2*e + 40*b^6*c^4*d^3*f^9*g^3*e - 100*a*b^4*c^5*d^3*f^9*g^3*e - 240*a^2*b^2*c^6*d^3*f^9*g^3*e - 30*b^7*c^3*d^3*f^8*g^4*e + 450*a^2*b^3*c^5*d^3*f^8*g^4*e + 120*a^3*b*c^6*d^3*f^8*g^4*e + 12*b^8*c^2*d^3*f^7*g^5*e + 72*a*b^6*c^3*d^3*f^7*g^5*e - 360*a^2*b^4*c^4*d^3*f^7*g^5*e - 480*a^3*b^2*c^5*d^3*f^7*g^5*e - 2*b^9*c*d^3*f^6*g^6*e - 52*a*b^7*c^2*d^3*f^6*g^6*e + 60*a^2*b^5*c^3*d^3*f^6*g^6*e + 680*a^3*b^3*c^4*d^3*f^6*g^6*e + 160*a^4*b*c^5*d^3*f^6*g^6*e + 12*a*b^8*c*d^3*f^5*g^7*e + 72*a^2*b^6*c^2*d^3*f^5*g^7*e - 360*a^3*b^4*c^3*d^3*f^5*g^7*e - 480*a^4*b^2*c^4*d^3*f^5*g^7*e - 30*a^2*b^7*c*d^3*f^4*g^8*e + 450*a^4*b^3*c^3*d^3*f^4*g^8*e + 120*a^5*b*c^4*d^3*f^4*g^8*e + 40*a^3*b^6*c*d^3*f^3*g^9*e - 100*a^4*b^4*c^2*d^3*f^3*g^9*e - 240*a^5*b^2*c^3*d^3*f^3*g^9*e - 30*a^4*b^5*c*d^3*f^2*g^10*e + 108*a^5*b^3*c^2*d^3*f^2*g^10*e + 48*a^6*b*c^3*d^3*f^2*g^10*e + 12*a^5*b^4*c*d^3*f*g^11*e - 48*a^6*b^2*c^2*d^3*f*g^11*e - 2*a^6*b^3*c*d^3*g^12*e + 8*a^7*b*c^2*d^3*g^12*e + b^4*c^6*d^2*f^12*e^2 - 2*a*b^2*c^7*d^2*f^12*e^2 - 8*a^2*c^8*d^2*f^12*e^2 - 6*b^5*c^5*d^2*f^11*g*e^2 + 12*a*b^3*c^6*d^2*f^11*g*e^2 + 48*a^2*b*c^7*d^2*f^11*g*e^2 + 15*b^6*c^4*d^2*f^10*g^2*e^2 - 24*a*b^4*c^5*d^2*f^10*g^2*e^2 - 132*a^2*b^2*c^6*d^2*f^10*g^2*e^2 - 48*a^3*c^7*d^2*f^10*g^2*e^2 - 20*b^7*c^3*d^2*f^9*g^3*e^2 + 10*a*b^5*c^4*d^2*f^9*g^3*e^2 + 220*a^2*b^3*c^5*d^2*f^9*g^3*e^2 + 240*a^3*b*c^6*d^2*f^9*g^3*e^2 + 15*b^8*c^2*d^2*f^8*g^4*e^2 + 30*a*b^6*c^3*d^2*f^8*g^4*e^2 - 225*a^2*b^4*c^4*d^2*f^8*g^4*e^2 - 510*a^3*b^2*c^5*d^2*f^8*g^4*e^2 - 120*a^4*c^6*d^2*f^8*g^4*e^2 - 6*b^9*c*d^2*f^7*g^5*e^2 - 48*a*b^7*c^2*d^2*f^7*g^5*e^2 + 108*a^2*b^5*c^3*d^2*f^7*g^5*e^2 + 600*a^3*b^3*c^4*d^2*f^7*g^5*e^2 + 480*a^4*b*c^5*d^2*f^7*g^5*e^2 + b^10*d^2*f^6*g^6*e^2 + 28*a*b^8*c*d^2*f^6*g^6*e^2 + 22*a^2*b^6*c^2*d^2*f^6*g^6*e^2 - 400*a^3*b^4*c^3*d^2*f^6*g^6*e^2 - 760*a^4*b^2*c^4*d^2*f^6*g^6*e^2 - 160*a^5*c^5*d^2*f^6*g^6*e^2 - 6*a*b^9*d^2*f^5*g^7*e^2 - 48*a^2*b^7*c*d^2*f^5*g^7*e^2 + 108*a^3*b^5*c^2*d^2*f^5*g^7*e^2 + 600*a^4*b^3*c^3*d^2*f^5*g^7*e^2 + 480*a^5*b*c^4*d^2*f^5*g^7*e^2 + 15*a^2*b^8*d^2*f^4*g^8*e^2 + 30*a^3*b^6*c*d^2*f^4*g^8*e^2 - 225*a^4*b^4*c^2*d^2*f^4*g^8*e^2 - 510*a^5*b^2*c^3*d^2*f^4*g^8*e^2 - 120*a^6*c^4*d^2*f^4*g^8*e^2 - 20*a^3*b^7*d^2*f^3*g^9*e^2 + 10*a^4*b^5*c*d^2*f^3*g^9*e^2 + 220*a^5*b^3*c^2*d^2*f^3*g^9*e^2 + 240*a^6*b*c^3*d^2*f^3*g^9*e^2 + 15*a^4*b^6*d^2*f^2*g^10*e^2 - 24*a^5*b^4*c*d^2*f^2*g^10*e^2 - 132*a^6*b^2*c^2*d^2*f^2*g^10*e^2 - 48*a^7*c^3*d^2*f^2*g^10*e^2 - 6*a^5*b^5*d^2*f*g^11*e^2 + 12*a^6*b^3*c*d^2*f*g^11*e^2 + 48*a^7*b*c^2*d^2*f*g^11*e^2 + a^6*b^4*d^2*g^12*e^2 - 2*a^7*b^2*c*d^2*g^12*e^2 - 8*a^8*c^2*d^2*g^12*e^2 - 2*a*b^3*c^6*d*f^12*e^3 + 8*a^2*b*c^7*d*f^12*e^3 + 12*a*b^4*c^5*d*f^11*g*e^3 - 48*a^2*b^2*c^6*d*f^11*g*e^3 - 30*a*b^5*c^4*d*f^10*g^2*e^3 + 108*a^2*b^3*c^5*d*f^10*g^2*e^3 + 48*a^3*b*c^6*d*f^10*g^2*e^3 + 40*a*b^6*c^3*d*f^9*g^3*e^3 - 100*a^2*b^4*c^4*d*f^9*g^3*e^3 - 240*a^3*b^2*c^5*d*f^9*g^3*e^3 - 30*a*b^7*c^2*d*f^8*g^4*e^3 + 450*a^3*b^3*c^4*d*f^8*g^4*e^3 + 120*a^4*b*c^5*d*f^8*g^4*e^3 + 12*a*b^8*c*d*f^7*g^5*e^3 + 72*a^2*b^6*c^2*d*f^7*g^5*e^3 - 360*a^3*b^4*c^3*d*f^7*g^5*e^3 - 480*a^4*b^2*c^4*d*f^7*g^5*e^3 - 2*a*b^9*d*f^6*g^6*e^3 - 52*a^2*b^7*c*d*f^6*g^6*e^3 + 60*a^3*b^5*c^2*d*f^6*g^6*e^3 + 680*a^4*b^3*c^3*d*f^6*g^6*e^3 + 160*a^5*b*c^4*d*f^6*g^6*e^3 + 12*a^2*b^8*d*f^5*g^7*e^3 + 72*a^3*b^6*c*d*f^5*g^7*e^3 - 360*a^4*b^4*c^2*d*f^5*g^7*e^3 - 480*a^5*b^2*c^3*d*f^5*g^7*e^3 - 30*a^3*b^7*d*f^4*g^8*e^3 + 450*a^5*b^3*c^2*d*f^4*g^8*e^3 + 120*a^6*b*c^3*d*f^4*g^8*e^3 + 40*a^4*b^6*d*f^3*g^9*e^3 - 100*a^5*b^4*c*d*f^3*g^9*e^3 - 240*a^6*b^2*c^2*d*f^3*g^9*e^3 - 30*a^5*b^5*d*f^2*g^10*e^3 + 108*a^6*b^3*c*d*f^2*g^10*e^3 + 48*a^7*b*c^2*d*f^2*g^10*e^3 + 12*a^6*b^4*d*f*g^11*e^3 - 48*a^7*b^2*c*d*f*g^11*e^3 - 2*a^7*b^3*d*g^12*e^3 + 8*a^8*b*c*d*g^12*e^3 + a^2*b^2*c^6*f^12*e^4 - 4*a^3*c^7*f^12*e^4 - 6*a^2*b^3*c^5*f^11*g*e^4 + 24*a^3*b*c^6*f^11*g*e^4 + 15*a^2*b^4*c^4*f^10*g^2*e^4 - 54*a^3*b^2*c^5*f^10*g^2*e^4 - 24*a^4*c^6*f^10*g^2*e^4 - 20*a^2*b^5*c^3*f^9*g^3*e^4 + 50*a^3*b^3*c^4*f^9*g^3*e^4 + 120*a^4*b*c^5*f^9*g^3*e^4 + 15*a^2*b^6*c^2*f^8*g^4*e^4 - 225*a^4*b^2*c^4*f^8*g^4*e^4 - 60*a^5*c^5*f^8*g^4*e^4 - 6*a^2*b^7*c*f^7*g^5*e^4 - 36*a^3*b^5*c^2*f^7*g^5*e^4 + 180*a^4*b^3*c^3*f^7*g^5*e^4 + 240*a^5*b*c^4*f^7*g^5*e^4 + a^2*b^8*f^6*g^6*e^4 + 26*a^3*b^6*c*f^6*g^6*e^4 - 30*a^4*b^4*c^2*f^6*g^6*e^4 - 340*a^5*b^2*c^3*f^6*g^6*e^4 - 80*a^6*c^4*f^6*g^6*e^4 - 6*a^3*b^7*f^5*g^7*e^4 - 36*a^4*b^5*c*f^5*g^7*e^4 + 180*a^5*b^3*c^2*f^5*g^7*e^4 + 240*a^6*b*c^3*f^5*g^7*e^4 + 15*a^4*b^6*f^4*g^8*e^4 - 225*a^6*b^2*c^2*f^4*g^8*e^4 - 60*a^7*c^3*f^4*g^8*e^4 - 20*a^5*b^5*f^3*g^9*e^4 + 50*a^6*b^3*c*f^3*g^9*e^4 + 120*a^7*b*c^2*f^3*g^9*e^4 + 15*a^6*b^4*f^2*g^10*e^4 - 54*a^7*b^2*c*f^2*g^10*e^4 - 24*a^8*c^2*f^2*g^10*e^4 - 6*a^7*b^3*f*g^11*e^4 + 24*a^8*b*c*f*g^11*e^4 + a^8*b^2*g^12*e^4 - 4*a^9*c*g^12*e^4) + (b*c^8*d^3*f^9 - 6*b^2*c^7*d^3*f^8*g + 6*a*c^8*d^3*f^8*g + 15*b^3*c^6*d^3*f^7*g^2 - 24*a*b*c^7*d^3*f^7*g^2 - 20*b^4*c^5*d^3*f^6*g^3 + 34*a*b^2*c^6*d^3*f^6*g^3 + 16*a^2*c^7*d^3*f^6*g^3 + 15*b^5*c^4*d^3*f^5*g^4 - 15*a*b^3*c^5*d^3*f^5*g^4 - 54*a^2*b*c^6*d^3*f^5*g^4 - 6*b^6*c^3*d^3*f^4*g^5 - 9*a*b^4*c^4*d^3*f^4*g^5 + 66*a^2*b^2*c^5*d^3*f^4*g^5 + 12*a^3*c^6*d^3*f^4*g^5 + b^7*c^2*d^3*f^3*g^6 + 11*a*b^5*c^3*d^3*f^3*g^6 - 31*a^2*b^3*c^4*d^3*f^3*g^6 - 32*a^3*b*c^5*d^3*f^3*g^6 - 3*a*b^6*c^2*d^3*f^2*g^7 + 30*a^3*b^2*c^4*d^3*f^2*g^7 + 3*a^2*b^5*c^2*d^3*f*g^8 - 9*a^3*b^3*c^3*d^3*f*g^8 - 3*a^4*b*c^4*d^3*f*g^8 - a^3*b^4*c^2*d^3*g^9 + 4*a^4*b^2*c^3*d^3*g^9 - 2*a^5*c^4*d^3*g^9 - 2*b^2*c^7*d^2*f^9*e + 2*a*c^8*d^2*f^9*e + 12*b^3*c^6*d^2*f^8*g*e - 21*a*b*c^7*d^2*f^8*g*e - 30*b^4*c^5*d^2*f^7*g^2*e + 66*a*b^2*c^6*d^2*f^7*g^2*e + 40*b^5*c^4*d^2*f^6*g^3*e - 89*a*b^3*c^5*d^2*f^6*g^3*e - 32*a^2*b*c^6*d^2*f^6*g^3*e - 30*b^6*c^3*d^2*f^5*g^4*e + 45*a*b^4*c^4*d^2*f^5*g^4*e + 114*a^2*b^2*c^5*d^2*f^5*g^4*e - 12*a^3*c^6*d^2*f^5*g^4*e + 12*b^7*c^2*d^2*f^4*g^5*e + 12*a*b^5*c^3*d^2*f^4*g^5*e - 147*a^2*b^3*c^4*d^2*f^4*g^5*e + 6*a^3*b*c^5*d^2*f^4*g^5*e - 2*b^8*c*d^2*f^3*g^6*e - 21*a*b^6*c^2*d^2*f^3*g^6*e + 74*a^2*b^4*c^3*d^2*f^3*g^6*e + 46*a^3*b^2*c^4*d^2*f^3*g^6*e - 16*a^4*c^5*d^2*f^3*g^6*e + 6*a*b^7*c*d^2*f^2*g^7*e - 3*a^2*b^5*c^2*d^2*f^2*g^7*e - 63*a^3*b^3*c^3*d^2*f^2*g^7*e + 24*a^4*b*c^4*d^2*f^2*g^7*e - 6*a^2*b^6*c*d^2*f*g^8*e + 21*a^3*b^4*c^2*d^2*f*g^8*e - 6*a^5*c^4*d^2*f*g^8*e + 2*a^3*b^5*c*d^2*g^9*e - 9*a^4*b^3*c^2*d^2*g^9*e + 7*a^5*b*c^3*d^2*g^9*e + b^3*c^6*d*f^9*e^2 - a*b*c^7*d*f^9*e^2 - 6*b^4*c^5*d*f^8*g*e^2 + 9*a*b^2*c^6*d*f^8*g*e^2 + 6*a^2*c^7*d*f^8*g*e^2 + 15*b^5*c^4*d*f^7*g^2*e^2 - 27*a*b^3*c^5*d*f^7*g^2*e^2 - 24*a^2*b*c^6*d*f^7*g^2*e^2 - 20*b^6*c^3*d*f^6*g^3*e^2 + 35*a*b^4*c^4*d*f^6*g^3*e^2 + 50*a^2*b^2*c^5*d*f^6*g^3*e^2 + 16*a^3*c^6*d*f^6*g^3*e^2 + 15*b^7*c^2*d*f^5*g^4*e^2 - 15*a*b^5*c^3*d*f^5*g^4*e^2 - 75*a^2*b^3*c^4*d*f^5*g^4*e^2 - 42*a^3*b*c^5*d*f^5*g^4*e^2 - 6*b^8*c*d*f^4*g^5*e^2 - 9*a*b^6*c^2*d*f^4*g^5*e^2 + 72*a^2*b^4*c^3*d*f^4*g^5*e^2 + 48*a^3*b^2*c^4*d*f^4*g^5*e^2 + 12*a^4*c^5*d*f^4*g^5*e^2 + b^9*d*f^3*g^6*e^2 + 11*a*b^7*c*d*f^3*g^6*e^2 - 32*a^2*b^5*c^2*d*f^3*g^6*e^2 - 45*a^3*b^3*c^3*d*f^3*g^6*e^2 - 16*a^4*b*c^4*d*f^3*g^6*e^2 - 3*a*b^8*d*f^2*g^7*e^2 + 33*a^3*b^4*c^2*d*f^2*g^7*e^2 + 6*a^4*b^2*c^3*d*f^2*g^7*e^2 + 3*a^2*b^7*d*f*g^8*e^2 - 9*a^3*b^5*c*d*f*g^8*e^2 - 6*a^4*b^3*c^2*d*f*g^8*e^2 + 3*a^5*b*c^3*d*f*g^8*e^2 - a^3*b^6*d*g^9*e^2 + 4*a^4*b^4*c*d*g^9*e^2 - a^5*b^2*c^2*d*g^9*e^2 - 2*a^6*c^3*d*g^9*e^2 - a*b^2*c^6*f^9*e^3 + 2*a^2*c^7*f^9*e^3 + 6*a*b^3*c^5*f^8*g*e^3 - 15*a^2*b*c^6*f^8*g*e^3 - 15*a*b^4*c^4*f^7*g^2*e^3 + 42*a^2*b^2*c^5*f^7*g^2*e^3 + 20*a*b^5*c^3*f^6*g^3*e^3 - 55*a^2*b^3*c^4*f^6*g^3*e^3 - 16*a^3*b*c^5*f^6*g^3*e^3 - 15*a*b^6*c^2*f^5*g^4*e^3 + 30*a^2*b^4*c^3*f^5*g^4*e^3 + 60*a^3*b^2*c^4*f^5*g^4*e^3 - 12*a^4*c^5*f^5*g^4*e^3 + 6*a*b^7*c*f^4*g^5*e^3 + 3*a^2*b^5*c^2*f^4*g^5*e^3 - 81*a^3*b^3*c^3*f^4*g^5*e^3 + 18*a^4*b*c^4*f^4*g^5*e^3 - a*b^8*f^3*g^6*e^3 - 10*a^2*b^6*c*f^3*g^6*e^3 + 43*a^3*b^4*c^2*f^3*g^6*e^3 + 14*a^4*b^2*c^3*f^3*g^6*e^3 - 16*a^5*c^4*f^3*g^6*e^3 + 3*a^2*b^7*f^2*g^7*e^3 - 3*a^3*b^5*c*f^2*g^7*e^3 - 33*a^4*b^3*c^2*f^2*g^7*e^3 + 24*a^5*b*c^3*f^2*g^7*e^3 - 3*a^3*b^6*f*g^8*e^3 + 12*a^4*b^4*c*f*g^8*e^3 - 3*a^5*b^2*c^2*f*g^8*e^3 - 6*a^6*c^3*f*g^8*e^3 + a^4*b^5*g^9*e^3 - 5*a^5*b^3*c*g^9*e^3 + 5*a^6*b*c^2*g^9*e^3)/(b^2*c^8*d^4*f^12 - 4*a*c^9*d^4*f^12 - 6*b^3*c^7*d^4*f^11*g + 24*a*b*c^8*d^4*f^11*g + 15*b^4*c^6*d^4*f^10*g^2 - 54*a*b^2*c^7*d^4*f^10*g^2 - 24*a^2*c^8*d^4*f^10*g^2 - 20*b^5*c^5*d^4*f^9*g^3 + 50*a*b^3*c^6*d^4*f^9*g^3 + 120*a^2*b*c^7*d^4*f^9*g^3 + 15*b^6*c^4*d^4*f^8*g^4 - 225*a^2*b^2*c^6*d^4*f^8*g^4 - 60*a^3*c^7*d^4*f^8*g^4 - 6*b^7*c^3*d^4*f^7*g^5 - 36*a*b^5*c^4*d^4*f^7*g^5 + 180*a^2*b^3*c^5*d^4*f^7*g^5 + 240*a^3*b*c^6*d^4*f^7*g^5 + b^8*c^2*d^4*f^6*g^6 + 26*a*b^6*c^3*d^4*f^6*g^6 - 30*a^2*b^4*c^4*d^4*f^6*g^6 - 340*a^3*b^2*c^5*d^4*f^6*g^6 - 80*a^4*c^6*d^4*f^6*g^6 - 6*a*b^7*c^2*d^4*f^5*g^7 - 36*a^2*b^5*c^3*d^4*f^5*g^7 + 180*a^3*b^3*c^4*d^4*f^5*g^7 + 240*a^4*b*c^5*d^4*f^5*g^7 + 15*a^2*b^6*c^2*d^4*f^4*g^8 - 225*a^4*b^2*c^4*d^4*f^4*g^8 - 60*a^5*c^5*d^4*f^4*g^8 - 20*a^3*b^5*c^2*d^4*f^3*g^9 + 50*a^4*b^3*c^3*d^4*f^3*g^9 + 120*a^5*b*c^4*d^4*f^3*g^9 + 15*a^4*b^4*c^2*d^4*f^2*g^10 - 54*a^5*b^2*c^3*d^4*f^2*g^10 - 24*a^6*c^4*d^4*f^2*g^10 - 6*a^5*b^3*c^2*d^4*f*g^11 + 24*a^6*b*c^3*d^4*f*g^11 + a^6*b^2*c^2*d^4*g^12 - 4*a^7*c^3*d^4*g^12 - 2*b^3*c^7*d^3*f^12*e + 8*a*b*c^8*d^3*f^12*e + 12*b^4*c^6*d^3*f^11*g*e - 48*a*b^2*c^7*d^3*f^11*g*e - 30*b^5*c^5*d^3*f^10*g^2*e + 108*a*b^3*c^6*d^3*f^10*g^2*e + 48*a^2*b*c^7*d^3*f^10*g^2*e + 40*b^6*c^4*d^3*f^9*g^3*e - 100*a*b^4*c^5*d^3*f^9*g^3*e - 240*a^2*b^2*c^6*d^3*f^9*g^3*e - 30*b^7*c^3*d^3*f^8*g^4*e + 450*a^2*b^3*c^5*d^3*f^8*g^4*e + 120*a^3*b*c^6*d^3*f^8*g^4*e + 12*b^8*c^2*d^3*f^7*g^5*e + 72*a*b^6*c^3*d^3*f^7*g^5*e - 360*a^2*b^4*c^4*d^3*f^7*g^5*e - 480*a^3*b^2*c^5*d^3*f^7*g^5*e - 2*b^9*c*d^3*f^6*g^6*e - 52*a*b^7*c^2*d^3*f^6*g^6*e + 60*a^2*b^5*c^3*d^3*f^6*g^6*e + 680*a^3*b^3*c^4*d^3*f^6*g^6*e + 160*a^4*b*c^5*d^3*f^6*g^6*e + 12*a*b^8*c*d^3*f^5*g^7*e + 72*a^2*b^6*c^2*d^3*f^5*g^7*e - 360*a^3*b^4*c^3*d^3*f^5*g^7*e - 480*a^4*b^2*c^4*d^3*f^5*g^7*e - 30*a^2*b^7*c*d^3*f^4*g^8*e + 450*a^4*b^3*c^3*d^3*f^4*g^8*e + 120*a^5*b*c^4*d^3*f^4*g^8*e + 40*a^3*b^6*c*d^3*f^3*g^9*e - 100*a^4*b^4*c^2*d^3*f^3*g^9*e - 240*a^5*b^2*c^3*d^3*f^3*g^9*e - 30*a^4*b^5*c*d^3*f^2*g^10*e + 108*a^5*b^3*c^2*d^3*f^2*g^10*e + 48*a^6*b*c^3*d^3*f^2*g^10*e + 12*a^5*b^4*c*d^3*f*g^11*e - 48*a^6*b^2*c^2*d^3*f*g^11*e - 2*a^6*b^3*c*d^3*g^12*e + 8*a^7*b*c^2*d^3*g^12*e + b^4*c^6*d^2*f^12*e^2 - 2*a*b^2*c^7*d^2*f^12*e^2 - 8*a^2*c^8*d^2*f^12*e^2 - 6*b^5*c^5*d^2*f^11*g*e^2 + 12*a*b^3*c^6*d^2*f^11*g*e^2 + 48*a^2*b*c^7*d^2*f^11*g*e^2 + 15*b^6*c^4*d^2*f^10*g^2*e^2 - 24*a*b^4*c^5*d^2*f^10*g^2*e^2 - 132*a^2*b^2*c^6*d^2*f^10*g^2*e^2 - 48*a^3*c^7*d^2*f^10*g^2*e^2 - 20*b^7*c^3*d^2*f^9*g^3*e^2 + 10*a*b^5*c^4*d^2*f^9*g^3*e^2 + 220*a^2*b^3*c^5*d^2*f^9*g^3*e^2 + 240*a^3*b*c^6*d^2*f^9*g^3*e^2 + 15*b^8*c^2*d^2*f^8*g^4*e^2 + 30*a*b^6*c^3*d^2*f^8*g^4*e^2 - 225*a^2*b^4*c^4*d^2*f^8*g^4*e^2 - 510*a^3*b^2*c^5*d^2*f^8*g^4*e^2 - 120*a^4*c^6*d^2*f^8*g^4*e^2 - 6*b^9*c*d^2*f^7*g^5*e^2 - 48*a*b^7*c^2*d^2*f^7*g^5*e^2 + 108*a^2*b^5*c^3*d^2*f^7*g^5*e^2 + 600*a^3*b^3*c^4*d^2*f^7*g^5*e^2 + 480*a^4*b*c^5*d^2*f^7*g^5*e^2 + b^10*d^2*f^6*g^6*e^2 + 28*a*b^8*c*d^2*f^6*g^6*e^2 + 22*a^2*b^6*c^2*d^2*f^6*g^6*e^2 - 400*a^3*b^4*c^3*d^2*f^6*g^6*e^2 - 760*a^4*b^2*c^4*d^2*f^6*g^6*e^2 - 160*a^5*c^5*d^2*f^6*g^6*e^2 - 6*a*b^9*d^2*f^5*g^7*e^2 - 48*a^2*b^7*c*d^2*f^5*g^7*e^2 + 108*a^3*b^5*c^2*d^2*f^5*g^7*e^2 + 600*a^4*b^3*c^3*d^2*f^5*g^7*e^2 + 480*a^5*b*c^4*d^2*f^5*g^7*e^2 + 15*a^2*b^8*d^2*f^4*g^8*e^2 + 30*a^3*b^6*c*d^2*f^4*g^8*e^2 - 225*a^4*b^4*c^2*d^2*f^4*g^8*e^2 - 510*a^5*b^2*c^3*d^2*f^4*g^8*e^2 - 120*a^6*c^4*d^2*f^4*g^8*e^2 - 20*a^3*b^7*d^2*f^3*g^9*e^2 + 10*a^4*b^5*c*d^2*f^3*g^9*e^2 + 220*a^5*b^3*c^2*d^2*f^3*g^9*e^2 + 240*a^6*b*c^3*d^2*f^3*g^9*e^2 + 15*a^4*b^6*d^2*f^2*g^10*e^2 - 24*a^5*b^4*c*d^2*f^2*g^10*e^2 - 132*a^6*b^2*c^2*d^2*f^2*g^10*e^2 - 48*a^7*c^3*d^2*f^2*g^10*e^2 - 6*a^5*b^5*d^2*f*g^11*e^2 + 12*a^6*b^3*c*d^2*f*g^11*e^2 + 48*a^7*b*c^2*d^2*f*g^11*e^2 + a^6*b^4*d^2*g^12*e^2 - 2*a^7*b^2*c*d^2*g^12*e^2 - 8*a^8*c^2*d^2*g^12*e^2 - 2*a*b^3*c^6*d*f^12*e^3 + 8*a^2*b*c^7*d*f^12*e^3 + 12*a*b^4*c^5*d*f^11*g*e^3 - 48*a^2*b^2*c^6*d*f^11*g*e^3 - 30*a*b^5*c^4*d*f^10*g^2*e^3 + 108*a^2*b^3*c^5*d*f^10*g^2*e^3 + 48*a^3*b*c^6*d*f^10*g^2*e^3 + 40*a*b^6*c^3*d*f^9*g^3*e^3 - 100*a^2*b^4*c^4*d*f^9*g^3*e^3 - 240*a^3*b^2*c^5*d*f^9*g^3*e^3 - 30*a*b^7*c^2*d*f^8*g^4*e^3 + 450*a^3*b^3*c^4*d*f^8*g^4*e^3 + 120*a^4*b*c^5*d*f^8*g^4*e^3 + 12*a*b^8*c*d*f^7*g^5*e^3 + 72*a^2*b^6*c^2*d*f^7*g^5*e^3 - 360*a^3*b^4*c^3*d*f^7*g^5*e^3 - 480*a^4*b^2*c^4*d*f^7*g^5*e^3 - 2*a*b^9*d*f^6*g^6*e^3 - 52*a^2*b^7*c*d*f^6*g^6*e^3 + 60*a^3*b^5*c^2*d*f^6*g^6*e^3 + 680*a^4*b^3*c^3*d*f^6*g^6*e^3 + 160*a^5*b*c^4*d*f^6*g^6*e^3 + 12*a^2*b^8*d*f^5*g^7*e^3 + 72*a^3*b^6*c*d*f^5*g^7*e^3 - 360*a^4*b^4*c^2*d*f^5*g^7*e^3 - 480*a^5*b^2*c^3*d*f^5*g^7*e^3 - 30*a^3*b^7*d*f^4*g^8*e^3 + 450*a^5*b^3*c^2*d*f^4*g^8*e^3 + 120*a^6*b*c^3*d*f^4*g^8*e^3 + 40*a^4*b^6*d*f^3*g^9*e^3 - 100*a^5*b^4*c*d*f^3*g^9*e^3 - 240*a^6*b^2*c^2*d*f^3*g^9*e^3 - 30*a^5*b^5*d*f^2*g^10*e^3 + 108*a^6*b^3*c*d*f^2*g^10*e^3 + 48*a^7*b*c^2*d*f^2*g^10*e^3 + 12*a^6*b^4*d*f*g^11*e^3 - 48*a^7*b^2*c*d*f*g^11*e^3 - 2*a^7*b^3*d*g^12*e^3 + 8*a^8*b*c*d*g^12*e^3 + a^2*b^2*c^6*f^12*e^4 - 4*a^3*c^7*f^12*e^4 - 6*a^2*b^3*c^5*f^11*g*e^4 + 24*a^3*b*c^6*f^11*g*e^4 + 15*a^2*b^4*c^4*f^10*g^2*e^4 - 54*a^3*b^2*c^5*f^10*g^2*e^4 - 24*a^4*c^6*f^10*g^2*e^4 - 20*a^2*b^5*c^3*f^9*g^3*e^4 + 50*a^3*b^3*c^4*f^9*g^3*e^4 + 120*a^4*b*c^5*f^9*g^3*e^4 + 15*a^2*b^6*c^2*f^8*g^4*e^4 - 225*a^4*b^2*c^4*f^8*g^4*e^4 - 60*a^5*c^5*f^8*g^4*e^4 - 6*a^2*b^7*c*f^7*g^5*e^4 - 36*a^3*b^5*c^2*f^7*g^5*e^4 + 180*a^4*b^3*c^3*f^7*g^5*e^4 + 240*a^5*b*c^4*f^7*g^5*e^4 + a^2*b^8*f^6*g^6*e^4 + 26*a^3*b^6*c*f^6*g^6*e^4 - 30*a^4*b^4*c^2*f^6*g^6*e^4 - 340*a^5*b^2*c^3*f^6*g^6*e^4 - 80*a^6*c^4*f^6*g^6*e^4 - 6*a^3*b^7*f^5*g^7*e^4 - 36*a^4*b^5*c*f^5*g^7*e^4 + 180*a^5*b^3*c^2*f^5*g^7*e^4 + 240*a^6*b*c^3*f^5*g^7*e^4 + 15*a^4*b^6*f^4*g^8*e^4 - 225*a^6*b^2*c^2*f^4*g^8*e^4 - 60*a^7*c^3*f^4*g^8*e^4 - 20*a^5*b^5*f^3*g^9*e^4 + 50*a^6*b^3*c*f^3*g^9*e^4 + 120*a^7*b*c^2*f^3*g^9*e^4 + 15*a^6*b^4*f^2*g^10*e^4 - 54*a^7*b^2*c*f^2*g^10*e^4 - 24*a^8*c^2*f^2*g^10*e^4 - 6*a^7*b^3*f*g^11*e^4 + 24*a^8*b*c*f*g^11*e^4 + a^8*b^2*g^12*e^4 - 4*a^9*c*g^12*e^4))/sqrt(c*x^2 + b*x + a) + 1/4*(48*c^2*d^2*f^2*g^5 - 48*b*c*d^2*f*g^6 + 15*b^2*d^2*g^7 - 12*a*c*d^2*g^7 - 120*c^2*d*f^3*g^4*e + 132*b*c*d*f^2*g^5*e - 42*b^2*d*f*g^6*e + 12*a*b*d*g^7*e + 80*c^2*f^4*g^3*e^2 - 100*b*c*f^3*g^4*e^2 + 35*b^2*f^2*g^5*e^2 + 28*a*c*f^2*g^5*e^2 - 28*a*b*f*g^6*e^2 + 8*a^2*g^7*e^2)*arctan(-((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*g + sqrt(c)*f)/sqrt(-c*f^2 + b*f*g - a*g^2))/((c^3*d^3*f^6*g^3 - 3*b*c^2*d^3*f^5*g^4 + 3*b^2*c*d^3*f^4*g^5 + 3*a*c^2*d^3*f^4*g^5 - b^3*d^3*f^3*g^6 - 6*a*b*c*d^3*f^3*g^6 + 3*a*b^2*d^3*f^2*g^7 + 3*a^2*c*d^3*f^2*g^7 - 3*a^2*b*d^3*f*g^8 + a^3*d^3*g^9 - 3*c^3*d^2*f^7*g^2*e + 9*b*c^2*d^2*f^6*g^3*e - 9*b^2*c*d^2*f^5*g^4*e - 9*a*c^2*d^2*f^5*g^4*e + 3*b^3*d^2*f^4*g^5*e + 18*a*b*c*d^2*f^4*g^5*e - 9*a*b^2*d^2*f^3*g^6*e - 9*a^2*c*d^2*f^3*g^6*e + 9*a^2*b*d^2*f^2*g^7*e - 3*a^3*d^2*f*g^8*e + 3*c^3*d*f^8*g*e^2 - 9*b*c^2*d*f^7*g^2*e^2 + 9*b^2*c*d*f^6*g^3*e^2 + 9*a*c^2*d*f^6*g^3*e^2 - 3*b^3*d*f^5*g^4*e^2 - 18*a*b*c*d*f^5*g^4*e^2 + 9*a*b^2*d*f^4*g^5*e^2 + 9*a^2*c*d*f^4*g^5*e^2 - 9*a^2*b*d*f^3*g^6*e^2 + 3*a^3*d*f^2*g^7*e^2 - c^3*f^9*e^3 + 3*b*c^2*f^8*g*e^3 - 3*b^2*c*f^7*g^2*e^3 - 3*a*c^2*f^7*g^2*e^3 + b^3*f^6*g^3*e^3 + 6*a*b*c*f^6*g^3*e^3 - 3*a*b^2*f^5*g^4*e^3 - 3*a^2*c*f^5*g^4*e^3 + 3*a^2*b*f^4*g^5*e^3 - a^3*f^3*g^6*e^3)*sqrt(-c*f^2 + b*f*g - a*g^2)) - 2*arctan(-((sqrt(c)*x - sqrt(c*x^2 + b*x + a))*e + sqrt(c)*d)/sqrt(-c*d^2 + b*d*e - a*e^2))*e^5/((c*d^5*g^3 - 3*c*d^4*f*g^2*e - b*d^4*g^3*e + 3*c*d^3*f^2*g*e^2 + 3*b*d^3*f*g^2*e^2 + a*d^3*g^3*e^2 - c*d^2*f^3*e^3 - 3*b*d^2*f^2*g*e^3 - 3*a*d^2*f*g^2*e^3 + b*d*f^3*e^4 + 3*a*d*f^2*g*e^4 - a*f^3*e^5)*sqrt(-c*d^2 + b*d*e - a*e^2)) - 1/4*(24*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*c^2*d*f^2*g^5 - 24*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b*c*d*f*g^6 + 7*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b^2*d*g^7 - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*c*d*g^7 - 32*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*c^2*f^3*g^4*e + 36*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b*c*f^2*g^5*e - 11*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b^2*f*g^6*e - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*c*f*g^6*e + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*b*g^7*e + 56*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(5/2)*d*f^3*g^4 - 48*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b*c^(3/2)*d*f^2*g^5 + 13*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*sqrt(c)*d*f*g^6 - 28*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^(3/2)*d*f*g^6 + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*b*sqrt(c)*d*g^7 - 72*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(5/2)*f^4*g^3*e + 68*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b*c^(3/2)*f^3*g^4*e - 17*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*sqrt(c)*f^2*g^5*e + 20*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^(3/2)*f^2*g^5*e - 12*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*b*sqrt(c)*f*g^6*e + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a^2*sqrt(c)*g^7*e + 56*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^2*d*f^3*g^4 - 44*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^2*c*d*f^2*g^5 - 88*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*c^2*d*f^2*g^5 + 9*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*d*f*g^6 + 60*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c*d*f*g^6 - 9*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b^2*d*g^7 - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*c*d*g^7 - 72*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^2*f^4*g^3*e + 64*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^2*c*f^3*g^4*e + 112*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*c^2*f^3*g^4*e - 13*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*f^2*g^5*e - 104*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c*f^2*g^5*e + 17*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b^2*f*g^6*e + 28*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*c*f*g^6*e - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*b*g^7*e + 14*b^2*c^(3/2)*d*f^3*g^4 - 7*b^3*sqrt(c)*d*f^2*g^5 - 44*a*b*c^(3/2)*d*f^2*g^5 + 23*a*b^2*sqrt(c)*d*f*g^6 + 28*a^2*c^(3/2)*d*f*g^6 - 16*a^2*b*sqrt(c)*d*g^7 - 18*b^2*c^(3/2)*f^4*g^3*e + 11*b^3*sqrt(c)*f^3*g^4*e + 56*a*b*c^(3/2)*f^3*g^4*e - 39*a*b^2*sqrt(c)*f^2*g^5*e - 36*a^2*c^(3/2)*f^2*g^5*e + 36*a^2*b*sqrt(c)*f*g^6*e - 8*a^3*sqrt(c)*g^7*e)/((c^3*d^2*f^6*g^2 - 3*b*c^2*d^2*f^5*g^3 + 3*b^2*c*d^2*f^4*g^4 + 3*a*c^2*d^2*f^4*g^4 - b^3*d^2*f^3*g^5 - 6*a*b*c*d^2*f^3*g^5 + 3*a*b^2*d^2*f^2*g^6 + 3*a^2*c*d^2*f^2*g^6 - 3*a^2*b*d^2*f*g^7 + a^3*d^2*g^8 - 2*c^3*d*f^7*g*e + 6*b*c^2*d*f^6*g^2*e - 6*b^2*c*d*f^5*g^3*e - 6*a*c^2*d*f^5*g^3*e + 2*b^3*d*f^4*g^4*e + 12*a*b*c*d*f^4*g^4*e - 6*a*b^2*d*f^3*g^5*e - 6*a^2*c*d*f^3*g^5*e + 6*a^2*b*d*f^2*g^6*e - 2*a^3*d*f*g^7*e + c^3*f^8*e^2 - 3*b*c^2*f^7*g*e^2 + 3*b^2*c*f^6*g^2*e^2 + 3*a*c^2*f^6*g^2*e^2 - b^3*f^5*g^3*e^2 - 6*a*b*c*f^5*g^3*e^2 + 3*a*b^2*f^4*g^4*e^2 + 3*a^2*c*f^4*g^4*e^2 - 3*a^2*b*f^3*g^5*e^2 + a^3*f^2*g^6*e^2)*((sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*g + 2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c)*f + b*f - a*g)^2)","B",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
920,1,2740,0,0.271007," ","integrate((e*x+d)^m*(g*x+f)^2*(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{{\left(x e + d\right)}^{m} c g^{2} m^{4} x^{5} e^{5} + {\left(x e + d\right)}^{m} c d g^{2} m^{4} x^{4} e^{4} + 2 \, {\left(x e + d\right)}^{m} c f g m^{4} x^{4} e^{5} + {\left(x e + d\right)}^{m} b g^{2} m^{4} x^{4} e^{5} + 10 \, {\left(x e + d\right)}^{m} c g^{2} m^{3} x^{5} e^{5} + 2 \, {\left(x e + d\right)}^{m} c d f g m^{4} x^{3} e^{4} + {\left(x e + d\right)}^{m} b d g^{2} m^{4} x^{3} e^{4} + 6 \, {\left(x e + d\right)}^{m} c d g^{2} m^{3} x^{4} e^{4} - 4 \, {\left(x e + d\right)}^{m} c d^{2} g^{2} m^{3} x^{3} e^{3} + {\left(x e + d\right)}^{m} c f^{2} m^{4} x^{3} e^{5} + 2 \, {\left(x e + d\right)}^{m} b f g m^{4} x^{3} e^{5} + {\left(x e + d\right)}^{m} a g^{2} m^{4} x^{3} e^{5} + 22 \, {\left(x e + d\right)}^{m} c f g m^{3} x^{4} e^{5} + 11 \, {\left(x e + d\right)}^{m} b g^{2} m^{3} x^{4} e^{5} + 35 \, {\left(x e + d\right)}^{m} c g^{2} m^{2} x^{5} e^{5} + {\left(x e + d\right)}^{m} c d f^{2} m^{4} x^{2} e^{4} + 2 \, {\left(x e + d\right)}^{m} b d f g m^{4} x^{2} e^{4} + {\left(x e + d\right)}^{m} a d g^{2} m^{4} x^{2} e^{4} + 16 \, {\left(x e + d\right)}^{m} c d f g m^{3} x^{3} e^{4} + 8 \, {\left(x e + d\right)}^{m} b d g^{2} m^{3} x^{3} e^{4} + 11 \, {\left(x e + d\right)}^{m} c d g^{2} m^{2} x^{4} e^{4} - 6 \, {\left(x e + d\right)}^{m} c d^{2} f g m^{3} x^{2} e^{3} - 3 \, {\left(x e + d\right)}^{m} b d^{2} g^{2} m^{3} x^{2} e^{3} - 12 \, {\left(x e + d\right)}^{m} c d^{2} g^{2} m^{2} x^{3} e^{3} + 12 \, {\left(x e + d\right)}^{m} c d^{3} g^{2} m^{2} x^{2} e^{2} + {\left(x e + d\right)}^{m} b f^{2} m^{4} x^{2} e^{5} + 2 \, {\left(x e + d\right)}^{m} a f g m^{4} x^{2} e^{5} + 12 \, {\left(x e + d\right)}^{m} c f^{2} m^{3} x^{3} e^{5} + 24 \, {\left(x e + d\right)}^{m} b f g m^{3} x^{3} e^{5} + 12 \, {\left(x e + d\right)}^{m} a g^{2} m^{3} x^{3} e^{5} + 82 \, {\left(x e + d\right)}^{m} c f g m^{2} x^{4} e^{5} + 41 \, {\left(x e + d\right)}^{m} b g^{2} m^{2} x^{4} e^{5} + 50 \, {\left(x e + d\right)}^{m} c g^{2} m x^{5} e^{5} + {\left(x e + d\right)}^{m} b d f^{2} m^{4} x e^{4} + 2 \, {\left(x e + d\right)}^{m} a d f g m^{4} x e^{4} + 10 \, {\left(x e + d\right)}^{m} c d f^{2} m^{3} x^{2} e^{4} + 20 \, {\left(x e + d\right)}^{m} b d f g m^{3} x^{2} e^{4} + 10 \, {\left(x e + d\right)}^{m} a d g^{2} m^{3} x^{2} e^{4} + 34 \, {\left(x e + d\right)}^{m} c d f g m^{2} x^{3} e^{4} + 17 \, {\left(x e + d\right)}^{m} b d g^{2} m^{2} x^{3} e^{4} + 6 \, {\left(x e + d\right)}^{m} c d g^{2} m x^{4} e^{4} - 2 \, {\left(x e + d\right)}^{m} c d^{2} f^{2} m^{3} x e^{3} - 4 \, {\left(x e + d\right)}^{m} b d^{2} f g m^{3} x e^{3} - 2 \, {\left(x e + d\right)}^{m} a d^{2} g^{2} m^{3} x e^{3} - 36 \, {\left(x e + d\right)}^{m} c d^{2} f g m^{2} x^{2} e^{3} - 18 \, {\left(x e + d\right)}^{m} b d^{2} g^{2} m^{2} x^{2} e^{3} - 8 \, {\left(x e + d\right)}^{m} c d^{2} g^{2} m x^{3} e^{3} + 12 \, {\left(x e + d\right)}^{m} c d^{3} f g m^{2} x e^{2} + 6 \, {\left(x e + d\right)}^{m} b d^{3} g^{2} m^{2} x e^{2} + 12 \, {\left(x e + d\right)}^{m} c d^{3} g^{2} m x^{2} e^{2} - 24 \, {\left(x e + d\right)}^{m} c d^{4} g^{2} m x e + {\left(x e + d\right)}^{m} a f^{2} m^{4} x e^{5} + 13 \, {\left(x e + d\right)}^{m} b f^{2} m^{3} x^{2} e^{5} + 26 \, {\left(x e + d\right)}^{m} a f g m^{3} x^{2} e^{5} + 49 \, {\left(x e + d\right)}^{m} c f^{2} m^{2} x^{3} e^{5} + 98 \, {\left(x e + d\right)}^{m} b f g m^{2} x^{3} e^{5} + 49 \, {\left(x e + d\right)}^{m} a g^{2} m^{2} x^{3} e^{5} + 122 \, {\left(x e + d\right)}^{m} c f g m x^{4} e^{5} + 61 \, {\left(x e + d\right)}^{m} b g^{2} m x^{4} e^{5} + 24 \, {\left(x e + d\right)}^{m} c g^{2} x^{5} e^{5} + {\left(x e + d\right)}^{m} a d f^{2} m^{4} e^{4} + 12 \, {\left(x e + d\right)}^{m} b d f^{2} m^{3} x e^{4} + 24 \, {\left(x e + d\right)}^{m} a d f g m^{3} x e^{4} + 29 \, {\left(x e + d\right)}^{m} c d f^{2} m^{2} x^{2} e^{4} + 58 \, {\left(x e + d\right)}^{m} b d f g m^{2} x^{2} e^{4} + 29 \, {\left(x e + d\right)}^{m} a d g^{2} m^{2} x^{2} e^{4} + 20 \, {\left(x e + d\right)}^{m} c d f g m x^{3} e^{4} + 10 \, {\left(x e + d\right)}^{m} b d g^{2} m x^{3} e^{4} - {\left(x e + d\right)}^{m} b d^{2} f^{2} m^{3} e^{3} - 2 \, {\left(x e + d\right)}^{m} a d^{2} f g m^{3} e^{3} - 18 \, {\left(x e + d\right)}^{m} c d^{2} f^{2} m^{2} x e^{3} - 36 \, {\left(x e + d\right)}^{m} b d^{2} f g m^{2} x e^{3} - 18 \, {\left(x e + d\right)}^{m} a d^{2} g^{2} m^{2} x e^{3} - 30 \, {\left(x e + d\right)}^{m} c d^{2} f g m x^{2} e^{3} - 15 \, {\left(x e + d\right)}^{m} b d^{2} g^{2} m x^{2} e^{3} + 2 \, {\left(x e + d\right)}^{m} c d^{3} f^{2} m^{2} e^{2} + 4 \, {\left(x e + d\right)}^{m} b d^{3} f g m^{2} e^{2} + 2 \, {\left(x e + d\right)}^{m} a d^{3} g^{2} m^{2} e^{2} + 60 \, {\left(x e + d\right)}^{m} c d^{3} f g m x e^{2} + 30 \, {\left(x e + d\right)}^{m} b d^{3} g^{2} m x e^{2} - 12 \, {\left(x e + d\right)}^{m} c d^{4} f g m e - 6 \, {\left(x e + d\right)}^{m} b d^{4} g^{2} m e + 24 \, {\left(x e + d\right)}^{m} c d^{5} g^{2} + 14 \, {\left(x e + d\right)}^{m} a f^{2} m^{3} x e^{5} + 59 \, {\left(x e + d\right)}^{m} b f^{2} m^{2} x^{2} e^{5} + 118 \, {\left(x e + d\right)}^{m} a f g m^{2} x^{2} e^{5} + 78 \, {\left(x e + d\right)}^{m} c f^{2} m x^{3} e^{5} + 156 \, {\left(x e + d\right)}^{m} b f g m x^{3} e^{5} + 78 \, {\left(x e + d\right)}^{m} a g^{2} m x^{3} e^{5} + 60 \, {\left(x e + d\right)}^{m} c f g x^{4} e^{5} + 30 \, {\left(x e + d\right)}^{m} b g^{2} x^{4} e^{5} + 14 \, {\left(x e + d\right)}^{m} a d f^{2} m^{3} e^{4} + 47 \, {\left(x e + d\right)}^{m} b d f^{2} m^{2} x e^{4} + 94 \, {\left(x e + d\right)}^{m} a d f g m^{2} x e^{4} + 20 \, {\left(x e + d\right)}^{m} c d f^{2} m x^{2} e^{4} + 40 \, {\left(x e + d\right)}^{m} b d f g m x^{2} e^{4} + 20 \, {\left(x e + d\right)}^{m} a d g^{2} m x^{2} e^{4} - 12 \, {\left(x e + d\right)}^{m} b d^{2} f^{2} m^{2} e^{3} - 24 \, {\left(x e + d\right)}^{m} a d^{2} f g m^{2} e^{3} - 40 \, {\left(x e + d\right)}^{m} c d^{2} f^{2} m x e^{3} - 80 \, {\left(x e + d\right)}^{m} b d^{2} f g m x e^{3} - 40 \, {\left(x e + d\right)}^{m} a d^{2} g^{2} m x e^{3} + 18 \, {\left(x e + d\right)}^{m} c d^{3} f^{2} m e^{2} + 36 \, {\left(x e + d\right)}^{m} b d^{3} f g m e^{2} + 18 \, {\left(x e + d\right)}^{m} a d^{3} g^{2} m e^{2} - 60 \, {\left(x e + d\right)}^{m} c d^{4} f g e - 30 \, {\left(x e + d\right)}^{m} b d^{4} g^{2} e + 71 \, {\left(x e + d\right)}^{m} a f^{2} m^{2} x e^{5} + 107 \, {\left(x e + d\right)}^{m} b f^{2} m x^{2} e^{5} + 214 \, {\left(x e + d\right)}^{m} a f g m x^{2} e^{5} + 40 \, {\left(x e + d\right)}^{m} c f^{2} x^{3} e^{5} + 80 \, {\left(x e + d\right)}^{m} b f g x^{3} e^{5} + 40 \, {\left(x e + d\right)}^{m} a g^{2} x^{3} e^{5} + 71 \, {\left(x e + d\right)}^{m} a d f^{2} m^{2} e^{4} + 60 \, {\left(x e + d\right)}^{m} b d f^{2} m x e^{4} + 120 \, {\left(x e + d\right)}^{m} a d f g m x e^{4} - 47 \, {\left(x e + d\right)}^{m} b d^{2} f^{2} m e^{3} - 94 \, {\left(x e + d\right)}^{m} a d^{2} f g m e^{3} + 40 \, {\left(x e + d\right)}^{m} c d^{3} f^{2} e^{2} + 80 \, {\left(x e + d\right)}^{m} b d^{3} f g e^{2} + 40 \, {\left(x e + d\right)}^{m} a d^{3} g^{2} e^{2} + 154 \, {\left(x e + d\right)}^{m} a f^{2} m x e^{5} + 60 \, {\left(x e + d\right)}^{m} b f^{2} x^{2} e^{5} + 120 \, {\left(x e + d\right)}^{m} a f g x^{2} e^{5} + 154 \, {\left(x e + d\right)}^{m} a d f^{2} m e^{4} - 60 \, {\left(x e + d\right)}^{m} b d^{2} f^{2} e^{3} - 120 \, {\left(x e + d\right)}^{m} a d^{2} f g e^{3} + 120 \, {\left(x e + d\right)}^{m} a f^{2} x e^{5} + 120 \, {\left(x e + d\right)}^{m} a d f^{2} e^{4}}{m^{5} e^{5} + 15 \, m^{4} e^{5} + 85 \, m^{3} e^{5} + 225 \, m^{2} e^{5} + 274 \, m e^{5} + 120 \, e^{5}}"," ",0,"((x*e + d)^m*c*g^2*m^4*x^5*e^5 + (x*e + d)^m*c*d*g^2*m^4*x^4*e^4 + 2*(x*e + d)^m*c*f*g*m^4*x^4*e^5 + (x*e + d)^m*b*g^2*m^4*x^4*e^5 + 10*(x*e + d)^m*c*g^2*m^3*x^5*e^5 + 2*(x*e + d)^m*c*d*f*g*m^4*x^3*e^4 + (x*e + d)^m*b*d*g^2*m^4*x^3*e^4 + 6*(x*e + d)^m*c*d*g^2*m^3*x^4*e^4 - 4*(x*e + d)^m*c*d^2*g^2*m^3*x^3*e^3 + (x*e + d)^m*c*f^2*m^4*x^3*e^5 + 2*(x*e + d)^m*b*f*g*m^4*x^3*e^5 + (x*e + d)^m*a*g^2*m^4*x^3*e^5 + 22*(x*e + d)^m*c*f*g*m^3*x^4*e^5 + 11*(x*e + d)^m*b*g^2*m^3*x^4*e^5 + 35*(x*e + d)^m*c*g^2*m^2*x^5*e^5 + (x*e + d)^m*c*d*f^2*m^4*x^2*e^4 + 2*(x*e + d)^m*b*d*f*g*m^4*x^2*e^4 + (x*e + d)^m*a*d*g^2*m^4*x^2*e^4 + 16*(x*e + d)^m*c*d*f*g*m^3*x^3*e^4 + 8*(x*e + d)^m*b*d*g^2*m^3*x^3*e^4 + 11*(x*e + d)^m*c*d*g^2*m^2*x^4*e^4 - 6*(x*e + d)^m*c*d^2*f*g*m^3*x^2*e^3 - 3*(x*e + d)^m*b*d^2*g^2*m^3*x^2*e^3 - 12*(x*e + d)^m*c*d^2*g^2*m^2*x^3*e^3 + 12*(x*e + d)^m*c*d^3*g^2*m^2*x^2*e^2 + (x*e + d)^m*b*f^2*m^4*x^2*e^5 + 2*(x*e + d)^m*a*f*g*m^4*x^2*e^5 + 12*(x*e + d)^m*c*f^2*m^3*x^3*e^5 + 24*(x*e + d)^m*b*f*g*m^3*x^3*e^5 + 12*(x*e + d)^m*a*g^2*m^3*x^3*e^5 + 82*(x*e + d)^m*c*f*g*m^2*x^4*e^5 + 41*(x*e + d)^m*b*g^2*m^2*x^4*e^5 + 50*(x*e + d)^m*c*g^2*m*x^5*e^5 + (x*e + d)^m*b*d*f^2*m^4*x*e^4 + 2*(x*e + d)^m*a*d*f*g*m^4*x*e^4 + 10*(x*e + d)^m*c*d*f^2*m^3*x^2*e^4 + 20*(x*e + d)^m*b*d*f*g*m^3*x^2*e^4 + 10*(x*e + d)^m*a*d*g^2*m^3*x^2*e^4 + 34*(x*e + d)^m*c*d*f*g*m^2*x^3*e^4 + 17*(x*e + d)^m*b*d*g^2*m^2*x^3*e^4 + 6*(x*e + d)^m*c*d*g^2*m*x^4*e^4 - 2*(x*e + d)^m*c*d^2*f^2*m^3*x*e^3 - 4*(x*e + d)^m*b*d^2*f*g*m^3*x*e^3 - 2*(x*e + d)^m*a*d^2*g^2*m^3*x*e^3 - 36*(x*e + d)^m*c*d^2*f*g*m^2*x^2*e^3 - 18*(x*e + d)^m*b*d^2*g^2*m^2*x^2*e^3 - 8*(x*e + d)^m*c*d^2*g^2*m*x^3*e^3 + 12*(x*e + d)^m*c*d^3*f*g*m^2*x*e^2 + 6*(x*e + d)^m*b*d^3*g^2*m^2*x*e^2 + 12*(x*e + d)^m*c*d^3*g^2*m*x^2*e^2 - 24*(x*e + d)^m*c*d^4*g^2*m*x*e + (x*e + d)^m*a*f^2*m^4*x*e^5 + 13*(x*e + d)^m*b*f^2*m^3*x^2*e^5 + 26*(x*e + d)^m*a*f*g*m^3*x^2*e^5 + 49*(x*e + d)^m*c*f^2*m^2*x^3*e^5 + 98*(x*e + d)^m*b*f*g*m^2*x^3*e^5 + 49*(x*e + d)^m*a*g^2*m^2*x^3*e^5 + 122*(x*e + d)^m*c*f*g*m*x^4*e^5 + 61*(x*e + d)^m*b*g^2*m*x^4*e^5 + 24*(x*e + d)^m*c*g^2*x^5*e^5 + (x*e + d)^m*a*d*f^2*m^4*e^4 + 12*(x*e + d)^m*b*d*f^2*m^3*x*e^4 + 24*(x*e + d)^m*a*d*f*g*m^3*x*e^4 + 29*(x*e + d)^m*c*d*f^2*m^2*x^2*e^4 + 58*(x*e + d)^m*b*d*f*g*m^2*x^2*e^4 + 29*(x*e + d)^m*a*d*g^2*m^2*x^2*e^4 + 20*(x*e + d)^m*c*d*f*g*m*x^3*e^4 + 10*(x*e + d)^m*b*d*g^2*m*x^3*e^4 - (x*e + d)^m*b*d^2*f^2*m^3*e^3 - 2*(x*e + d)^m*a*d^2*f*g*m^3*e^3 - 18*(x*e + d)^m*c*d^2*f^2*m^2*x*e^3 - 36*(x*e + d)^m*b*d^2*f*g*m^2*x*e^3 - 18*(x*e + d)^m*a*d^2*g^2*m^2*x*e^3 - 30*(x*e + d)^m*c*d^2*f*g*m*x^2*e^3 - 15*(x*e + d)^m*b*d^2*g^2*m*x^2*e^3 + 2*(x*e + d)^m*c*d^3*f^2*m^2*e^2 + 4*(x*e + d)^m*b*d^3*f*g*m^2*e^2 + 2*(x*e + d)^m*a*d^3*g^2*m^2*e^2 + 60*(x*e + d)^m*c*d^3*f*g*m*x*e^2 + 30*(x*e + d)^m*b*d^3*g^2*m*x*e^2 - 12*(x*e + d)^m*c*d^4*f*g*m*e - 6*(x*e + d)^m*b*d^4*g^2*m*e + 24*(x*e + d)^m*c*d^5*g^2 + 14*(x*e + d)^m*a*f^2*m^3*x*e^5 + 59*(x*e + d)^m*b*f^2*m^2*x^2*e^5 + 118*(x*e + d)^m*a*f*g*m^2*x^2*e^5 + 78*(x*e + d)^m*c*f^2*m*x^3*e^5 + 156*(x*e + d)^m*b*f*g*m*x^3*e^5 + 78*(x*e + d)^m*a*g^2*m*x^3*e^5 + 60*(x*e + d)^m*c*f*g*x^4*e^5 + 30*(x*e + d)^m*b*g^2*x^4*e^5 + 14*(x*e + d)^m*a*d*f^2*m^3*e^4 + 47*(x*e + d)^m*b*d*f^2*m^2*x*e^4 + 94*(x*e + d)^m*a*d*f*g*m^2*x*e^4 + 20*(x*e + d)^m*c*d*f^2*m*x^2*e^4 + 40*(x*e + d)^m*b*d*f*g*m*x^2*e^4 + 20*(x*e + d)^m*a*d*g^2*m*x^2*e^4 - 12*(x*e + d)^m*b*d^2*f^2*m^2*e^3 - 24*(x*e + d)^m*a*d^2*f*g*m^2*e^3 - 40*(x*e + d)^m*c*d^2*f^2*m*x*e^3 - 80*(x*e + d)^m*b*d^2*f*g*m*x*e^3 - 40*(x*e + d)^m*a*d^2*g^2*m*x*e^3 + 18*(x*e + d)^m*c*d^3*f^2*m*e^2 + 36*(x*e + d)^m*b*d^3*f*g*m*e^2 + 18*(x*e + d)^m*a*d^3*g^2*m*e^2 - 60*(x*e + d)^m*c*d^4*f*g*e - 30*(x*e + d)^m*b*d^4*g^2*e + 71*(x*e + d)^m*a*f^2*m^2*x*e^5 + 107*(x*e + d)^m*b*f^2*m*x^2*e^5 + 214*(x*e + d)^m*a*f*g*m*x^2*e^5 + 40*(x*e + d)^m*c*f^2*x^3*e^5 + 80*(x*e + d)^m*b*f*g*x^3*e^5 + 40*(x*e + d)^m*a*g^2*x^3*e^5 + 71*(x*e + d)^m*a*d*f^2*m^2*e^4 + 60*(x*e + d)^m*b*d*f^2*m*x*e^4 + 120*(x*e + d)^m*a*d*f*g*m*x*e^4 - 47*(x*e + d)^m*b*d^2*f^2*m*e^3 - 94*(x*e + d)^m*a*d^2*f*g*m*e^3 + 40*(x*e + d)^m*c*d^3*f^2*e^2 + 80*(x*e + d)^m*b*d^3*f*g*e^2 + 40*(x*e + d)^m*a*d^3*g^2*e^2 + 154*(x*e + d)^m*a*f^2*m*x*e^5 + 60*(x*e + d)^m*b*f^2*x^2*e^5 + 120*(x*e + d)^m*a*f*g*x^2*e^5 + 154*(x*e + d)^m*a*d*f^2*m*e^4 - 60*(x*e + d)^m*b*d^2*f^2*e^3 - 120*(x*e + d)^m*a*d^2*f*g*e^3 + 120*(x*e + d)^m*a*f^2*x*e^5 + 120*(x*e + d)^m*a*d*f^2*e^4)/(m^5*e^5 + 15*m^4*e^5 + 85*m^3*e^5 + 225*m^2*e^5 + 274*m*e^5 + 120*e^5)","B",0
921,1,1162,0,0.198373," ","integrate((e*x+d)^m*(g*x+f)*(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{{\left(x e + d\right)}^{m} c g m^{3} x^{4} e^{4} + {\left(x e + d\right)}^{m} c d g m^{3} x^{3} e^{3} + {\left(x e + d\right)}^{m} c f m^{3} x^{3} e^{4} + {\left(x e + d\right)}^{m} b g m^{3} x^{3} e^{4} + 6 \, {\left(x e + d\right)}^{m} c g m^{2} x^{4} e^{4} + {\left(x e + d\right)}^{m} c d f m^{3} x^{2} e^{3} + {\left(x e + d\right)}^{m} b d g m^{3} x^{2} e^{3} + 3 \, {\left(x e + d\right)}^{m} c d g m^{2} x^{3} e^{3} - 3 \, {\left(x e + d\right)}^{m} c d^{2} g m^{2} x^{2} e^{2} + {\left(x e + d\right)}^{m} b f m^{3} x^{2} e^{4} + {\left(x e + d\right)}^{m} a g m^{3} x^{2} e^{4} + 7 \, {\left(x e + d\right)}^{m} c f m^{2} x^{3} e^{4} + 7 \, {\left(x e + d\right)}^{m} b g m^{2} x^{3} e^{4} + 11 \, {\left(x e + d\right)}^{m} c g m x^{4} e^{4} + {\left(x e + d\right)}^{m} b d f m^{3} x e^{3} + {\left(x e + d\right)}^{m} a d g m^{3} x e^{3} + 5 \, {\left(x e + d\right)}^{m} c d f m^{2} x^{2} e^{3} + 5 \, {\left(x e + d\right)}^{m} b d g m^{2} x^{2} e^{3} + 2 \, {\left(x e + d\right)}^{m} c d g m x^{3} e^{3} - 2 \, {\left(x e + d\right)}^{m} c d^{2} f m^{2} x e^{2} - 2 \, {\left(x e + d\right)}^{m} b d^{2} g m^{2} x e^{2} - 3 \, {\left(x e + d\right)}^{m} c d^{2} g m x^{2} e^{2} + 6 \, {\left(x e + d\right)}^{m} c d^{3} g m x e + {\left(x e + d\right)}^{m} a f m^{3} x e^{4} + 8 \, {\left(x e + d\right)}^{m} b f m^{2} x^{2} e^{4} + 8 \, {\left(x e + d\right)}^{m} a g m^{2} x^{2} e^{4} + 14 \, {\left(x e + d\right)}^{m} c f m x^{3} e^{4} + 14 \, {\left(x e + d\right)}^{m} b g m x^{3} e^{4} + 6 \, {\left(x e + d\right)}^{m} c g x^{4} e^{4} + {\left(x e + d\right)}^{m} a d f m^{3} e^{3} + 7 \, {\left(x e + d\right)}^{m} b d f m^{2} x e^{3} + 7 \, {\left(x e + d\right)}^{m} a d g m^{2} x e^{3} + 4 \, {\left(x e + d\right)}^{m} c d f m x^{2} e^{3} + 4 \, {\left(x e + d\right)}^{m} b d g m x^{2} e^{3} - {\left(x e + d\right)}^{m} b d^{2} f m^{2} e^{2} - {\left(x e + d\right)}^{m} a d^{2} g m^{2} e^{2} - 8 \, {\left(x e + d\right)}^{m} c d^{2} f m x e^{2} - 8 \, {\left(x e + d\right)}^{m} b d^{2} g m x e^{2} + 2 \, {\left(x e + d\right)}^{m} c d^{3} f m e + 2 \, {\left(x e + d\right)}^{m} b d^{3} g m e - 6 \, {\left(x e + d\right)}^{m} c d^{4} g + 9 \, {\left(x e + d\right)}^{m} a f m^{2} x e^{4} + 19 \, {\left(x e + d\right)}^{m} b f m x^{2} e^{4} + 19 \, {\left(x e + d\right)}^{m} a g m x^{2} e^{4} + 8 \, {\left(x e + d\right)}^{m} c f x^{3} e^{4} + 8 \, {\left(x e + d\right)}^{m} b g x^{3} e^{4} + 9 \, {\left(x e + d\right)}^{m} a d f m^{2} e^{3} + 12 \, {\left(x e + d\right)}^{m} b d f m x e^{3} + 12 \, {\left(x e + d\right)}^{m} a d g m x e^{3} - 7 \, {\left(x e + d\right)}^{m} b d^{2} f m e^{2} - 7 \, {\left(x e + d\right)}^{m} a d^{2} g m e^{2} + 8 \, {\left(x e + d\right)}^{m} c d^{3} f e + 8 \, {\left(x e + d\right)}^{m} b d^{3} g e + 26 \, {\left(x e + d\right)}^{m} a f m x e^{4} + 12 \, {\left(x e + d\right)}^{m} b f x^{2} e^{4} + 12 \, {\left(x e + d\right)}^{m} a g x^{2} e^{4} + 26 \, {\left(x e + d\right)}^{m} a d f m e^{3} - 12 \, {\left(x e + d\right)}^{m} b d^{2} f e^{2} - 12 \, {\left(x e + d\right)}^{m} a d^{2} g e^{2} + 24 \, {\left(x e + d\right)}^{m} a f x e^{4} + 24 \, {\left(x e + d\right)}^{m} a d f e^{3}}{m^{4} e^{4} + 10 \, m^{3} e^{4} + 35 \, m^{2} e^{4} + 50 \, m e^{4} + 24 \, e^{4}}"," ",0,"((x*e + d)^m*c*g*m^3*x^4*e^4 + (x*e + d)^m*c*d*g*m^3*x^3*e^3 + (x*e + d)^m*c*f*m^3*x^3*e^4 + (x*e + d)^m*b*g*m^3*x^3*e^4 + 6*(x*e + d)^m*c*g*m^2*x^4*e^4 + (x*e + d)^m*c*d*f*m^3*x^2*e^3 + (x*e + d)^m*b*d*g*m^3*x^2*e^3 + 3*(x*e + d)^m*c*d*g*m^2*x^3*e^3 - 3*(x*e + d)^m*c*d^2*g*m^2*x^2*e^2 + (x*e + d)^m*b*f*m^3*x^2*e^4 + (x*e + d)^m*a*g*m^3*x^2*e^4 + 7*(x*e + d)^m*c*f*m^2*x^3*e^4 + 7*(x*e + d)^m*b*g*m^2*x^3*e^4 + 11*(x*e + d)^m*c*g*m*x^4*e^4 + (x*e + d)^m*b*d*f*m^3*x*e^3 + (x*e + d)^m*a*d*g*m^3*x*e^3 + 5*(x*e + d)^m*c*d*f*m^2*x^2*e^3 + 5*(x*e + d)^m*b*d*g*m^2*x^2*e^3 + 2*(x*e + d)^m*c*d*g*m*x^3*e^3 - 2*(x*e + d)^m*c*d^2*f*m^2*x*e^2 - 2*(x*e + d)^m*b*d^2*g*m^2*x*e^2 - 3*(x*e + d)^m*c*d^2*g*m*x^2*e^2 + 6*(x*e + d)^m*c*d^3*g*m*x*e + (x*e + d)^m*a*f*m^3*x*e^4 + 8*(x*e + d)^m*b*f*m^2*x^2*e^4 + 8*(x*e + d)^m*a*g*m^2*x^2*e^4 + 14*(x*e + d)^m*c*f*m*x^3*e^4 + 14*(x*e + d)^m*b*g*m*x^3*e^4 + 6*(x*e + d)^m*c*g*x^4*e^4 + (x*e + d)^m*a*d*f*m^3*e^3 + 7*(x*e + d)^m*b*d*f*m^2*x*e^3 + 7*(x*e + d)^m*a*d*g*m^2*x*e^3 + 4*(x*e + d)^m*c*d*f*m*x^2*e^3 + 4*(x*e + d)^m*b*d*g*m*x^2*e^3 - (x*e + d)^m*b*d^2*f*m^2*e^2 - (x*e + d)^m*a*d^2*g*m^2*e^2 - 8*(x*e + d)^m*c*d^2*f*m*x*e^2 - 8*(x*e + d)^m*b*d^2*g*m*x*e^2 + 2*(x*e + d)^m*c*d^3*f*m*e + 2*(x*e + d)^m*b*d^3*g*m*e - 6*(x*e + d)^m*c*d^4*g + 9*(x*e + d)^m*a*f*m^2*x*e^4 + 19*(x*e + d)^m*b*f*m*x^2*e^4 + 19*(x*e + d)^m*a*g*m*x^2*e^4 + 8*(x*e + d)^m*c*f*x^3*e^4 + 8*(x*e + d)^m*b*g*x^3*e^4 + 9*(x*e + d)^m*a*d*f*m^2*e^3 + 12*(x*e + d)^m*b*d*f*m*x*e^3 + 12*(x*e + d)^m*a*d*g*m*x*e^3 - 7*(x*e + d)^m*b*d^2*f*m*e^2 - 7*(x*e + d)^m*a*d^2*g*m*e^2 + 8*(x*e + d)^m*c*d^3*f*e + 8*(x*e + d)^m*b*d^3*g*e + 26*(x*e + d)^m*a*f*m*x*e^4 + 12*(x*e + d)^m*b*f*x^2*e^4 + 12*(x*e + d)^m*a*g*x^2*e^4 + 26*(x*e + d)^m*a*d*f*m*e^3 - 12*(x*e + d)^m*b*d^2*f*e^2 - 12*(x*e + d)^m*a*d^2*g*e^2 + 24*(x*e + d)^m*a*f*x*e^4 + 24*(x*e + d)^m*a*d*f*e^3)/(m^4*e^4 + 10*m^3*e^4 + 35*m^2*e^4 + 50*m*e^4 + 24*e^4)","B",0
922,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)/(g*x+f),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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
925,1,10489,0,0.547198," ","integrate((e*x+d)^m*(g*x+f)^2*(c*x^2+b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(x e + d\right)}^{m} c^{2} g^{2} m^{6} x^{7} e^{7} + {\left(x e + d\right)}^{m} c^{2} d g^{2} m^{6} x^{6} e^{6} + 2 \, {\left(x e + d\right)}^{m} c^{2} f g m^{6} x^{6} e^{7} + 2 \, {\left(x e + d\right)}^{m} b c g^{2} m^{6} x^{6} e^{7} + 21 \, {\left(x e + d\right)}^{m} c^{2} g^{2} m^{5} x^{7} e^{7} + 2 \, {\left(x e + d\right)}^{m} c^{2} d f g m^{6} x^{5} e^{6} + 2 \, {\left(x e + d\right)}^{m} b c d g^{2} m^{6} x^{5} e^{6} + 15 \, {\left(x e + d\right)}^{m} c^{2} d g^{2} m^{5} x^{6} e^{6} - 6 \, {\left(x e + d\right)}^{m} c^{2} d^{2} g^{2} m^{5} x^{5} e^{5} + {\left(x e + d\right)}^{m} c^{2} f^{2} m^{6} x^{5} e^{7} + 4 \, {\left(x e + d\right)}^{m} b c f g m^{6} x^{5} e^{7} + {\left(x e + d\right)}^{m} b^{2} g^{2} m^{6} x^{5} e^{7} + 2 \, {\left(x e + d\right)}^{m} a c g^{2} m^{6} x^{5} e^{7} + 44 \, {\left(x e + d\right)}^{m} c^{2} f g m^{5} x^{6} e^{7} + 44 \, {\left(x e + d\right)}^{m} b c g^{2} m^{5} x^{6} e^{7} + 175 \, {\left(x e + d\right)}^{m} c^{2} g^{2} m^{4} x^{7} e^{7} + {\left(x e + d\right)}^{m} c^{2} d f^{2} m^{6} x^{4} e^{6} + 4 \, {\left(x e + d\right)}^{m} b c d f g m^{6} x^{4} e^{6} + {\left(x e + d\right)}^{m} b^{2} d g^{2} m^{6} x^{4} e^{6} + 2 \, {\left(x e + d\right)}^{m} a c d g^{2} m^{6} x^{4} e^{6} + 34 \, {\left(x e + d\right)}^{m} c^{2} d f g m^{5} x^{5} e^{6} + 34 \, {\left(x e + d\right)}^{m} b c d g^{2} m^{5} x^{5} e^{6} + 85 \, {\left(x e + d\right)}^{m} c^{2} d g^{2} m^{4} x^{6} e^{6} - 10 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f g m^{5} x^{4} e^{5} - 10 \, {\left(x e + d\right)}^{m} b c d^{2} g^{2} m^{5} x^{4} e^{5} - 60 \, {\left(x e + d\right)}^{m} c^{2} d^{2} g^{2} m^{4} x^{5} e^{5} + 30 \, {\left(x e + d\right)}^{m} c^{2} d^{3} g^{2} m^{4} x^{4} e^{4} + 2 \, {\left(x e + d\right)}^{m} b c f^{2} m^{6} x^{4} e^{7} + 2 \, {\left(x e + d\right)}^{m} b^{2} f g m^{6} x^{4} e^{7} + 4 \, {\left(x e + d\right)}^{m} a c f g m^{6} x^{4} e^{7} + 2 \, {\left(x e + d\right)}^{m} a b g^{2} m^{6} x^{4} e^{7} + 23 \, {\left(x e + d\right)}^{m} c^{2} f^{2} m^{5} x^{5} e^{7} + 92 \, {\left(x e + d\right)}^{m} b c f g m^{5} x^{5} e^{7} + 23 \, {\left(x e + d\right)}^{m} b^{2} g^{2} m^{5} x^{5} e^{7} + 46 \, {\left(x e + d\right)}^{m} a c g^{2} m^{5} x^{5} e^{7} + 380 \, {\left(x e + d\right)}^{m} c^{2} f g m^{4} x^{6} e^{7} + 380 \, {\left(x e + d\right)}^{m} b c g^{2} m^{4} x^{6} e^{7} + 735 \, {\left(x e + d\right)}^{m} c^{2} g^{2} m^{3} x^{7} e^{7} + 2 \, {\left(x e + d\right)}^{m} b c d f^{2} m^{6} x^{3} e^{6} + 2 \, {\left(x e + d\right)}^{m} b^{2} d f g m^{6} x^{3} e^{6} + 4 \, {\left(x e + d\right)}^{m} a c d f g m^{6} x^{3} e^{6} + 2 \, {\left(x e + d\right)}^{m} a b d g^{2} m^{6} x^{3} e^{6} + 19 \, {\left(x e + d\right)}^{m} c^{2} d f^{2} m^{5} x^{4} e^{6} + 76 \, {\left(x e + d\right)}^{m} b c d f g m^{5} x^{4} e^{6} + 19 \, {\left(x e + d\right)}^{m} b^{2} d g^{2} m^{5} x^{4} e^{6} + 38 \, {\left(x e + d\right)}^{m} a c d g^{2} m^{5} x^{4} e^{6} + 210 \, {\left(x e + d\right)}^{m} c^{2} d f g m^{4} x^{5} e^{6} + 210 \, {\left(x e + d\right)}^{m} b c d g^{2} m^{4} x^{5} e^{6} + 225 \, {\left(x e + d\right)}^{m} c^{2} d g^{2} m^{3} x^{6} e^{6} - 4 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f^{2} m^{5} x^{3} e^{5} - 16 \, {\left(x e + d\right)}^{m} b c d^{2} f g m^{5} x^{3} e^{5} - 4 \, {\left(x e + d\right)}^{m} b^{2} d^{2} g^{2} m^{5} x^{3} e^{5} - 8 \, {\left(x e + d\right)}^{m} a c d^{2} g^{2} m^{5} x^{3} e^{5} - 130 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f g m^{4} x^{4} e^{5} - 130 \, {\left(x e + d\right)}^{m} b c d^{2} g^{2} m^{4} x^{4} e^{5} - 210 \, {\left(x e + d\right)}^{m} c^{2} d^{2} g^{2} m^{3} x^{5} e^{5} + 40 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f g m^{4} x^{3} e^{4} + 40 \, {\left(x e + d\right)}^{m} b c d^{3} g^{2} m^{4} x^{3} e^{4} + 180 \, {\left(x e + d\right)}^{m} c^{2} d^{3} g^{2} m^{3} x^{4} e^{4} - 120 \, {\left(x e + d\right)}^{m} c^{2} d^{4} g^{2} m^{3} x^{3} e^{3} + {\left(x e + d\right)}^{m} b^{2} f^{2} m^{6} x^{3} e^{7} + 2 \, {\left(x e + d\right)}^{m} a c f^{2} m^{6} x^{3} e^{7} + 4 \, {\left(x e + d\right)}^{m} a b f g m^{6} x^{3} e^{7} + {\left(x e + d\right)}^{m} a^{2} g^{2} m^{6} x^{3} e^{7} + 48 \, {\left(x e + d\right)}^{m} b c f^{2} m^{5} x^{4} e^{7} + 48 \, {\left(x e + d\right)}^{m} b^{2} f g m^{5} x^{4} e^{7} + 96 \, {\left(x e + d\right)}^{m} a c f g m^{5} x^{4} e^{7} + 48 \, {\left(x e + d\right)}^{m} a b g^{2} m^{5} x^{4} e^{7} + 207 \, {\left(x e + d\right)}^{m} c^{2} f^{2} m^{4} x^{5} e^{7} + 828 \, {\left(x e + d\right)}^{m} b c f g m^{4} x^{5} e^{7} + 207 \, {\left(x e + d\right)}^{m} b^{2} g^{2} m^{4} x^{5} e^{7} + 414 \, {\left(x e + d\right)}^{m} a c g^{2} m^{4} x^{5} e^{7} + 1640 \, {\left(x e + d\right)}^{m} c^{2} f g m^{3} x^{6} e^{7} + 1640 \, {\left(x e + d\right)}^{m} b c g^{2} m^{3} x^{6} e^{7} + 1624 \, {\left(x e + d\right)}^{m} c^{2} g^{2} m^{2} x^{7} e^{7} + {\left(x e + d\right)}^{m} b^{2} d f^{2} m^{6} x^{2} e^{6} + 2 \, {\left(x e + d\right)}^{m} a c d f^{2} m^{6} x^{2} e^{6} + 4 \, {\left(x e + d\right)}^{m} a b d f g m^{6} x^{2} e^{6} + {\left(x e + d\right)}^{m} a^{2} d g^{2} m^{6} x^{2} e^{6} + 42 \, {\left(x e + d\right)}^{m} b c d f^{2} m^{5} x^{3} e^{6} + 42 \, {\left(x e + d\right)}^{m} b^{2} d f g m^{5} x^{3} e^{6} + 84 \, {\left(x e + d\right)}^{m} a c d f g m^{5} x^{3} e^{6} + 42 \, {\left(x e + d\right)}^{m} a b d g^{2} m^{5} x^{3} e^{6} + 131 \, {\left(x e + d\right)}^{m} c^{2} d f^{2} m^{4} x^{4} e^{6} + 524 \, {\left(x e + d\right)}^{m} b c d f g m^{4} x^{4} e^{6} + 131 \, {\left(x e + d\right)}^{m} b^{2} d g^{2} m^{4} x^{4} e^{6} + 262 \, {\left(x e + d\right)}^{m} a c d g^{2} m^{4} x^{4} e^{6} + 590 \, {\left(x e + d\right)}^{m} c^{2} d f g m^{3} x^{5} e^{6} + 590 \, {\left(x e + d\right)}^{m} b c d g^{2} m^{3} x^{5} e^{6} + 274 \, {\left(x e + d\right)}^{m} c^{2} d g^{2} m^{2} x^{6} e^{6} - 6 \, {\left(x e + d\right)}^{m} b c d^{2} f^{2} m^{5} x^{2} e^{5} - 6 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f g m^{5} x^{2} e^{5} - 12 \, {\left(x e + d\right)}^{m} a c d^{2} f g m^{5} x^{2} e^{5} - 6 \, {\left(x e + d\right)}^{m} a b d^{2} g^{2} m^{5} x^{2} e^{5} - 64 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f^{2} m^{4} x^{3} e^{5} - 256 \, {\left(x e + d\right)}^{m} b c d^{2} f g m^{4} x^{3} e^{5} - 64 \, {\left(x e + d\right)}^{m} b^{2} d^{2} g^{2} m^{4} x^{3} e^{5} - 128 \, {\left(x e + d\right)}^{m} a c d^{2} g^{2} m^{4} x^{3} e^{5} - 530 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f g m^{3} x^{4} e^{5} - 530 \, {\left(x e + d\right)}^{m} b c d^{2} g^{2} m^{3} x^{4} e^{5} - 300 \, {\left(x e + d\right)}^{m} c^{2} d^{2} g^{2} m^{2} x^{5} e^{5} + 12 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f^{2} m^{4} x^{2} e^{4} + 48 \, {\left(x e + d\right)}^{m} b c d^{3} f g m^{4} x^{2} e^{4} + 12 \, {\left(x e + d\right)}^{m} b^{2} d^{3} g^{2} m^{4} x^{2} e^{4} + 24 \, {\left(x e + d\right)}^{m} a c d^{3} g^{2} m^{4} x^{2} e^{4} + 400 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f g m^{3} x^{3} e^{4} + 400 \, {\left(x e + d\right)}^{m} b c d^{3} g^{2} m^{3} x^{3} e^{4} + 330 \, {\left(x e + d\right)}^{m} c^{2} d^{3} g^{2} m^{2} x^{4} e^{4} - 120 \, {\left(x e + d\right)}^{m} c^{2} d^{4} f g m^{3} x^{2} e^{3} - 120 \, {\left(x e + d\right)}^{m} b c d^{4} g^{2} m^{3} x^{2} e^{3} - 360 \, {\left(x e + d\right)}^{m} c^{2} d^{4} g^{2} m^{2} x^{3} e^{3} + 360 \, {\left(x e + d\right)}^{m} c^{2} d^{5} g^{2} m^{2} x^{2} e^{2} + 2 \, {\left(x e + d\right)}^{m} a b f^{2} m^{6} x^{2} e^{7} + 2 \, {\left(x e + d\right)}^{m} a^{2} f g m^{6} x^{2} e^{7} + 25 \, {\left(x e + d\right)}^{m} b^{2} f^{2} m^{5} x^{3} e^{7} + 50 \, {\left(x e + d\right)}^{m} a c f^{2} m^{5} x^{3} e^{7} + 100 \, {\left(x e + d\right)}^{m} a b f g m^{5} x^{3} e^{7} + 25 \, {\left(x e + d\right)}^{m} a^{2} g^{2} m^{5} x^{3} e^{7} + 452 \, {\left(x e + d\right)}^{m} b c f^{2} m^{4} x^{4} e^{7} + 452 \, {\left(x e + d\right)}^{m} b^{2} f g m^{4} x^{4} e^{7} + 904 \, {\left(x e + d\right)}^{m} a c f g m^{4} x^{4} e^{7} + 452 \, {\left(x e + d\right)}^{m} a b g^{2} m^{4} x^{4} e^{7} + 925 \, {\left(x e + d\right)}^{m} c^{2} f^{2} m^{3} x^{5} e^{7} + 3700 \, {\left(x e + d\right)}^{m} b c f g m^{3} x^{5} e^{7} + 925 \, {\left(x e + d\right)}^{m} b^{2} g^{2} m^{3} x^{5} e^{7} + 1850 \, {\left(x e + d\right)}^{m} a c g^{2} m^{3} x^{5} e^{7} + 3698 \, {\left(x e + d\right)}^{m} c^{2} f g m^{2} x^{6} e^{7} + 3698 \, {\left(x e + d\right)}^{m} b c g^{2} m^{2} x^{6} e^{7} + 1764 \, {\left(x e + d\right)}^{m} c^{2} g^{2} m x^{7} e^{7} + 2 \, {\left(x e + d\right)}^{m} a b d f^{2} m^{6} x e^{6} + 2 \, {\left(x e + d\right)}^{m} a^{2} d f g m^{6} x e^{6} + 23 \, {\left(x e + d\right)}^{m} b^{2} d f^{2} m^{5} x^{2} e^{6} + 46 \, {\left(x e + d\right)}^{m} a c d f^{2} m^{5} x^{2} e^{6} + 92 \, {\left(x e + d\right)}^{m} a b d f g m^{5} x^{2} e^{6} + 23 \, {\left(x e + d\right)}^{m} a^{2} d g^{2} m^{5} x^{2} e^{6} + 326 \, {\left(x e + d\right)}^{m} b c d f^{2} m^{4} x^{3} e^{6} + 326 \, {\left(x e + d\right)}^{m} b^{2} d f g m^{4} x^{3} e^{6} + 652 \, {\left(x e + d\right)}^{m} a c d f g m^{4} x^{3} e^{6} + 326 \, {\left(x e + d\right)}^{m} a b d g^{2} m^{4} x^{3} e^{6} + 401 \, {\left(x e + d\right)}^{m} c^{2} d f^{2} m^{3} x^{4} e^{6} + 1604 \, {\left(x e + d\right)}^{m} b c d f g m^{3} x^{4} e^{6} + 401 \, {\left(x e + d\right)}^{m} b^{2} d g^{2} m^{3} x^{4} e^{6} + 802 \, {\left(x e + d\right)}^{m} a c d g^{2} m^{3} x^{4} e^{6} + 748 \, {\left(x e + d\right)}^{m} c^{2} d f g m^{2} x^{5} e^{6} + 748 \, {\left(x e + d\right)}^{m} b c d g^{2} m^{2} x^{5} e^{6} + 120 \, {\left(x e + d\right)}^{m} c^{2} d g^{2} m x^{6} e^{6} - 2 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f^{2} m^{5} x e^{5} - 4 \, {\left(x e + d\right)}^{m} a c d^{2} f^{2} m^{5} x e^{5} - 8 \, {\left(x e + d\right)}^{m} a b d^{2} f g m^{5} x e^{5} - 2 \, {\left(x e + d\right)}^{m} a^{2} d^{2} g^{2} m^{5} x e^{5} - 114 \, {\left(x e + d\right)}^{m} b c d^{2} f^{2} m^{4} x^{2} e^{5} - 114 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f g m^{4} x^{2} e^{5} - 228 \, {\left(x e + d\right)}^{m} a c d^{2} f g m^{4} x^{2} e^{5} - 114 \, {\left(x e + d\right)}^{m} a b d^{2} g^{2} m^{4} x^{2} e^{5} - 332 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f^{2} m^{3} x^{3} e^{5} - 1328 \, {\left(x e + d\right)}^{m} b c d^{2} f g m^{3} x^{3} e^{5} - 332 \, {\left(x e + d\right)}^{m} b^{2} d^{2} g^{2} m^{3} x^{3} e^{5} - 664 \, {\left(x e + d\right)}^{m} a c d^{2} g^{2} m^{3} x^{3} e^{5} - 830 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f g m^{2} x^{4} e^{5} - 830 \, {\left(x e + d\right)}^{m} b c d^{2} g^{2} m^{2} x^{4} e^{5} - 144 \, {\left(x e + d\right)}^{m} c^{2} d^{2} g^{2} m x^{5} e^{5} + 12 \, {\left(x e + d\right)}^{m} b c d^{3} f^{2} m^{4} x e^{4} + 12 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f g m^{4} x e^{4} + 24 \, {\left(x e + d\right)}^{m} a c d^{3} f g m^{4} x e^{4} + 12 \, {\left(x e + d\right)}^{m} a b d^{3} g^{2} m^{4} x e^{4} + 168 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f^{2} m^{3} x^{2} e^{4} + 672 \, {\left(x e + d\right)}^{m} b c d^{3} f g m^{3} x^{2} e^{4} + 168 \, {\left(x e + d\right)}^{m} b^{2} d^{3} g^{2} m^{3} x^{2} e^{4} + 336 \, {\left(x e + d\right)}^{m} a c d^{3} g^{2} m^{3} x^{2} e^{4} + 920 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f g m^{2} x^{3} e^{4} + 920 \, {\left(x e + d\right)}^{m} b c d^{3} g^{2} m^{2} x^{3} e^{4} + 180 \, {\left(x e + d\right)}^{m} c^{2} d^{3} g^{2} m x^{4} e^{4} - 24 \, {\left(x e + d\right)}^{m} c^{2} d^{4} f^{2} m^{3} x e^{3} - 96 \, {\left(x e + d\right)}^{m} b c d^{4} f g m^{3} x e^{3} - 24 \, {\left(x e + d\right)}^{m} b^{2} d^{4} g^{2} m^{3} x e^{3} - 48 \, {\left(x e + d\right)}^{m} a c d^{4} g^{2} m^{3} x e^{3} - 960 \, {\left(x e + d\right)}^{m} c^{2} d^{4} f g m^{2} x^{2} e^{3} - 960 \, {\left(x e + d\right)}^{m} b c d^{4} g^{2} m^{2} x^{2} e^{3} - 240 \, {\left(x e + d\right)}^{m} c^{2} d^{4} g^{2} m x^{3} e^{3} + 240 \, {\left(x e + d\right)}^{m} c^{2} d^{5} f g m^{2} x e^{2} + 240 \, {\left(x e + d\right)}^{m} b c d^{5} g^{2} m^{2} x e^{2} + 360 \, {\left(x e + d\right)}^{m} c^{2} d^{5} g^{2} m x^{2} e^{2} - 720 \, {\left(x e + d\right)}^{m} c^{2} d^{6} g^{2} m x e + {\left(x e + d\right)}^{m} a^{2} f^{2} m^{6} x e^{7} + 52 \, {\left(x e + d\right)}^{m} a b f^{2} m^{5} x^{2} e^{7} + 52 \, {\left(x e + d\right)}^{m} a^{2} f g m^{5} x^{2} e^{7} + 247 \, {\left(x e + d\right)}^{m} b^{2} f^{2} m^{4} x^{3} e^{7} + 494 \, {\left(x e + d\right)}^{m} a c f^{2} m^{4} x^{3} e^{7} + 988 \, {\left(x e + d\right)}^{m} a b f g m^{4} x^{3} e^{7} + 247 \, {\left(x e + d\right)}^{m} a^{2} g^{2} m^{4} x^{3} e^{7} + 2112 \, {\left(x e + d\right)}^{m} b c f^{2} m^{3} x^{4} e^{7} + 2112 \, {\left(x e + d\right)}^{m} b^{2} f g m^{3} x^{4} e^{7} + 4224 \, {\left(x e + d\right)}^{m} a c f g m^{3} x^{4} e^{7} + 2112 \, {\left(x e + d\right)}^{m} a b g^{2} m^{3} x^{4} e^{7} + 2144 \, {\left(x e + d\right)}^{m} c^{2} f^{2} m^{2} x^{5} e^{7} + 8576 \, {\left(x e + d\right)}^{m} b c f g m^{2} x^{5} e^{7} + 2144 \, {\left(x e + d\right)}^{m} b^{2} g^{2} m^{2} x^{5} e^{7} + 4288 \, {\left(x e + d\right)}^{m} a c g^{2} m^{2} x^{5} e^{7} + 4076 \, {\left(x e + d\right)}^{m} c^{2} f g m x^{6} e^{7} + 4076 \, {\left(x e + d\right)}^{m} b c g^{2} m x^{6} e^{7} + 720 \, {\left(x e + d\right)}^{m} c^{2} g^{2} x^{7} e^{7} + {\left(x e + d\right)}^{m} a^{2} d f^{2} m^{6} e^{6} + 50 \, {\left(x e + d\right)}^{m} a b d f^{2} m^{5} x e^{6} + 50 \, {\left(x e + d\right)}^{m} a^{2} d f g m^{5} x e^{6} + 201 \, {\left(x e + d\right)}^{m} b^{2} d f^{2} m^{4} x^{2} e^{6} + 402 \, {\left(x e + d\right)}^{m} a c d f^{2} m^{4} x^{2} e^{6} + 804 \, {\left(x e + d\right)}^{m} a b d f g m^{4} x^{2} e^{6} + 201 \, {\left(x e + d\right)}^{m} a^{2} d g^{2} m^{4} x^{2} e^{6} + 1134 \, {\left(x e + d\right)}^{m} b c d f^{2} m^{3} x^{3} e^{6} + 1134 \, {\left(x e + d\right)}^{m} b^{2} d f g m^{3} x^{3} e^{6} + 2268 \, {\left(x e + d\right)}^{m} a c d f g m^{3} x^{3} e^{6} + 1134 \, {\left(x e + d\right)}^{m} a b d g^{2} m^{3} x^{3} e^{6} + 540 \, {\left(x e + d\right)}^{m} c^{2} d f^{2} m^{2} x^{4} e^{6} + 2160 \, {\left(x e + d\right)}^{m} b c d f g m^{2} x^{4} e^{6} + 540 \, {\left(x e + d\right)}^{m} b^{2} d g^{2} m^{2} x^{4} e^{6} + 1080 \, {\left(x e + d\right)}^{m} a c d g^{2} m^{2} x^{4} e^{6} + 336 \, {\left(x e + d\right)}^{m} c^{2} d f g m x^{5} e^{6} + 336 \, {\left(x e + d\right)}^{m} b c d g^{2} m x^{5} e^{6} - 2 \, {\left(x e + d\right)}^{m} a b d^{2} f^{2} m^{5} e^{5} - 2 \, {\left(x e + d\right)}^{m} a^{2} d^{2} f g m^{5} e^{5} - 44 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f^{2} m^{4} x e^{5} - 88 \, {\left(x e + d\right)}^{m} a c d^{2} f^{2} m^{4} x e^{5} - 176 \, {\left(x e + d\right)}^{m} a b d^{2} f g m^{4} x e^{5} - 44 \, {\left(x e + d\right)}^{m} a^{2} d^{2} g^{2} m^{4} x e^{5} - 750 \, {\left(x e + d\right)}^{m} b c d^{2} f^{2} m^{3} x^{2} e^{5} - 750 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f g m^{3} x^{2} e^{5} - 1500 \, {\left(x e + d\right)}^{m} a c d^{2} f g m^{3} x^{2} e^{5} - 750 \, {\left(x e + d\right)}^{m} a b d^{2} g^{2} m^{3} x^{2} e^{5} - 608 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f^{2} m^{2} x^{3} e^{5} - 2432 \, {\left(x e + d\right)}^{m} b c d^{2} f g m^{2} x^{3} e^{5} - 608 \, {\left(x e + d\right)}^{m} b^{2} d^{2} g^{2} m^{2} x^{3} e^{5} - 1216 \, {\left(x e + d\right)}^{m} a c d^{2} g^{2} m^{2} x^{3} e^{5} - 420 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f g m x^{4} e^{5} - 420 \, {\left(x e + d\right)}^{m} b c d^{2} g^{2} m x^{4} e^{5} + 2 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f^{2} m^{4} e^{4} + 4 \, {\left(x e + d\right)}^{m} a c d^{3} f^{2} m^{4} e^{4} + 8 \, {\left(x e + d\right)}^{m} a b d^{3} f g m^{4} e^{4} + 2 \, {\left(x e + d\right)}^{m} a^{2} d^{3} g^{2} m^{4} e^{4} + 216 \, {\left(x e + d\right)}^{m} b c d^{3} f^{2} m^{3} x e^{4} + 216 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f g m^{3} x e^{4} + 432 \, {\left(x e + d\right)}^{m} a c d^{3} f g m^{3} x e^{4} + 216 \, {\left(x e + d\right)}^{m} a b d^{3} g^{2} m^{3} x e^{4} + 660 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f^{2} m^{2} x^{2} e^{4} + 2640 \, {\left(x e + d\right)}^{m} b c d^{3} f g m^{2} x^{2} e^{4} + 660 \, {\left(x e + d\right)}^{m} b^{2} d^{3} g^{2} m^{2} x^{2} e^{4} + 1320 \, {\left(x e + d\right)}^{m} a c d^{3} g^{2} m^{2} x^{2} e^{4} + 560 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f g m x^{3} e^{4} + 560 \, {\left(x e + d\right)}^{m} b c d^{3} g^{2} m x^{3} e^{4} - 12 \, {\left(x e + d\right)}^{m} b c d^{4} f^{2} m^{3} e^{3} - 12 \, {\left(x e + d\right)}^{m} b^{2} d^{4} f g m^{3} e^{3} - 24 \, {\left(x e + d\right)}^{m} a c d^{4} f g m^{3} e^{3} - 12 \, {\left(x e + d\right)}^{m} a b d^{4} g^{2} m^{3} e^{3} - 312 \, {\left(x e + d\right)}^{m} c^{2} d^{4} f^{2} m^{2} x e^{3} - 1248 \, {\left(x e + d\right)}^{m} b c d^{4} f g m^{2} x e^{3} - 312 \, {\left(x e + d\right)}^{m} b^{2} d^{4} g^{2} m^{2} x e^{3} - 624 \, {\left(x e + d\right)}^{m} a c d^{4} g^{2} m^{2} x e^{3} - 840 \, {\left(x e + d\right)}^{m} c^{2} d^{4} f g m x^{2} e^{3} - 840 \, {\left(x e + d\right)}^{m} b c d^{4} g^{2} m x^{2} e^{3} + 24 \, {\left(x e + d\right)}^{m} c^{2} d^{5} f^{2} m^{2} e^{2} + 96 \, {\left(x e + d\right)}^{m} b c d^{5} f g m^{2} e^{2} + 24 \, {\left(x e + d\right)}^{m} b^{2} d^{5} g^{2} m^{2} e^{2} + 48 \, {\left(x e + d\right)}^{m} a c d^{5} g^{2} m^{2} e^{2} + 1680 \, {\left(x e + d\right)}^{m} c^{2} d^{5} f g m x e^{2} + 1680 \, {\left(x e + d\right)}^{m} b c d^{5} g^{2} m x e^{2} - 240 \, {\left(x e + d\right)}^{m} c^{2} d^{6} f g m e - 240 \, {\left(x e + d\right)}^{m} b c d^{6} g^{2} m e + 720 \, {\left(x e + d\right)}^{m} c^{2} d^{7} g^{2} + 27 \, {\left(x e + d\right)}^{m} a^{2} f^{2} m^{5} x e^{7} + 540 \, {\left(x e + d\right)}^{m} a b f^{2} m^{4} x^{2} e^{7} + 540 \, {\left(x e + d\right)}^{m} a^{2} f g m^{4} x^{2} e^{7} + 1219 \, {\left(x e + d\right)}^{m} b^{2} f^{2} m^{3} x^{3} e^{7} + 2438 \, {\left(x e + d\right)}^{m} a c f^{2} m^{3} x^{3} e^{7} + 4876 \, {\left(x e + d\right)}^{m} a b f g m^{3} x^{3} e^{7} + 1219 \, {\left(x e + d\right)}^{m} a^{2} g^{2} m^{3} x^{3} e^{7} + 5090 \, {\left(x e + d\right)}^{m} b c f^{2} m^{2} x^{4} e^{7} + 5090 \, {\left(x e + d\right)}^{m} b^{2} f g m^{2} x^{4} e^{7} + 10180 \, {\left(x e + d\right)}^{m} a c f g m^{2} x^{4} e^{7} + 5090 \, {\left(x e + d\right)}^{m} a b g^{2} m^{2} x^{4} e^{7} + 2412 \, {\left(x e + d\right)}^{m} c^{2} f^{2} m x^{5} e^{7} + 9648 \, {\left(x e + d\right)}^{m} b c f g m x^{5} e^{7} + 2412 \, {\left(x e + d\right)}^{m} b^{2} g^{2} m x^{5} e^{7} + 4824 \, {\left(x e + d\right)}^{m} a c g^{2} m x^{5} e^{7} + 1680 \, {\left(x e + d\right)}^{m} c^{2} f g x^{6} e^{7} + 1680 \, {\left(x e + d\right)}^{m} b c g^{2} x^{6} e^{7} + 27 \, {\left(x e + d\right)}^{m} a^{2} d f^{2} m^{5} e^{6} + 490 \, {\left(x e + d\right)}^{m} a b d f^{2} m^{4} x e^{6} + 490 \, {\left(x e + d\right)}^{m} a^{2} d f g m^{4} x e^{6} + 817 \, {\left(x e + d\right)}^{m} b^{2} d f^{2} m^{3} x^{2} e^{6} + 1634 \, {\left(x e + d\right)}^{m} a c d f^{2} m^{3} x^{2} e^{6} + 3268 \, {\left(x e + d\right)}^{m} a b d f g m^{3} x^{2} e^{6} + 817 \, {\left(x e + d\right)}^{m} a^{2} d g^{2} m^{3} x^{2} e^{6} + 1688 \, {\left(x e + d\right)}^{m} b c d f^{2} m^{2} x^{3} e^{6} + 1688 \, {\left(x e + d\right)}^{m} b^{2} d f g m^{2} x^{3} e^{6} + 3376 \, {\left(x e + d\right)}^{m} a c d f g m^{2} x^{3} e^{6} + 1688 \, {\left(x e + d\right)}^{m} a b d g^{2} m^{2} x^{3} e^{6} + 252 \, {\left(x e + d\right)}^{m} c^{2} d f^{2} m x^{4} e^{6} + 1008 \, {\left(x e + d\right)}^{m} b c d f g m x^{4} e^{6} + 252 \, {\left(x e + d\right)}^{m} b^{2} d g^{2} m x^{4} e^{6} + 504 \, {\left(x e + d\right)}^{m} a c d g^{2} m x^{4} e^{6} - 50 \, {\left(x e + d\right)}^{m} a b d^{2} f^{2} m^{4} e^{5} - 50 \, {\left(x e + d\right)}^{m} a^{2} d^{2} f g m^{4} e^{5} - 358 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f^{2} m^{3} x e^{5} - 716 \, {\left(x e + d\right)}^{m} a c d^{2} f^{2} m^{3} x e^{5} - 1432 \, {\left(x e + d\right)}^{m} a b d^{2} f g m^{3} x e^{5} - 358 \, {\left(x e + d\right)}^{m} a^{2} d^{2} g^{2} m^{3} x e^{5} - 1902 \, {\left(x e + d\right)}^{m} b c d^{2} f^{2} m^{2} x^{2} e^{5} - 1902 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f g m^{2} x^{2} e^{5} - 3804 \, {\left(x e + d\right)}^{m} a c d^{2} f g m^{2} x^{2} e^{5} - 1902 \, {\left(x e + d\right)}^{m} a b d^{2} g^{2} m^{2} x^{2} e^{5} - 336 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f^{2} m x^{3} e^{5} - 1344 \, {\left(x e + d\right)}^{m} b c d^{2} f g m x^{3} e^{5} - 336 \, {\left(x e + d\right)}^{m} b^{2} d^{2} g^{2} m x^{3} e^{5} - 672 \, {\left(x e + d\right)}^{m} a c d^{2} g^{2} m x^{3} e^{5} + 44 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f^{2} m^{3} e^{4} + 88 \, {\left(x e + d\right)}^{m} a c d^{3} f^{2} m^{3} e^{4} + 176 \, {\left(x e + d\right)}^{m} a b d^{3} f g m^{3} e^{4} + 44 \, {\left(x e + d\right)}^{m} a^{2} d^{3} g^{2} m^{3} e^{4} + 1284 \, {\left(x e + d\right)}^{m} b c d^{3} f^{2} m^{2} x e^{4} + 1284 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f g m^{2} x e^{4} + 2568 \, {\left(x e + d\right)}^{m} a c d^{3} f g m^{2} x e^{4} + 1284 \, {\left(x e + d\right)}^{m} a b d^{3} g^{2} m^{2} x e^{4} + 504 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f^{2} m x^{2} e^{4} + 2016 \, {\left(x e + d\right)}^{m} b c d^{3} f g m x^{2} e^{4} + 504 \, {\left(x e + d\right)}^{m} b^{2} d^{3} g^{2} m x^{2} e^{4} + 1008 \, {\left(x e + d\right)}^{m} a c d^{3} g^{2} m x^{2} e^{4} - 216 \, {\left(x e + d\right)}^{m} b c d^{4} f^{2} m^{2} e^{3} - 216 \, {\left(x e + d\right)}^{m} b^{2} d^{4} f g m^{2} e^{3} - 432 \, {\left(x e + d\right)}^{m} a c d^{4} f g m^{2} e^{3} - 216 \, {\left(x e + d\right)}^{m} a b d^{4} g^{2} m^{2} e^{3} - 1008 \, {\left(x e + d\right)}^{m} c^{2} d^{4} f^{2} m x e^{3} - 4032 \, {\left(x e + d\right)}^{m} b c d^{4} f g m x e^{3} - 1008 \, {\left(x e + d\right)}^{m} b^{2} d^{4} g^{2} m x e^{3} - 2016 \, {\left(x e + d\right)}^{m} a c d^{4} g^{2} m x e^{3} + 312 \, {\left(x e + d\right)}^{m} c^{2} d^{5} f^{2} m e^{2} + 1248 \, {\left(x e + d\right)}^{m} b c d^{5} f g m e^{2} + 312 \, {\left(x e + d\right)}^{m} b^{2} d^{5} g^{2} m e^{2} + 624 \, {\left(x e + d\right)}^{m} a c d^{5} g^{2} m e^{2} - 1680 \, {\left(x e + d\right)}^{m} c^{2} d^{6} f g e - 1680 \, {\left(x e + d\right)}^{m} b c d^{6} g^{2} e + 295 \, {\left(x e + d\right)}^{m} a^{2} f^{2} m^{4} x e^{7} + 2840 \, {\left(x e + d\right)}^{m} a b f^{2} m^{3} x^{2} e^{7} + 2840 \, {\left(x e + d\right)}^{m} a^{2} f g m^{3} x^{2} e^{7} + 3112 \, {\left(x e + d\right)}^{m} b^{2} f^{2} m^{2} x^{3} e^{7} + 6224 \, {\left(x e + d\right)}^{m} a c f^{2} m^{2} x^{3} e^{7} + 12448 \, {\left(x e + d\right)}^{m} a b f g m^{2} x^{3} e^{7} + 3112 \, {\left(x e + d\right)}^{m} a^{2} g^{2} m^{2} x^{3} e^{7} + 5904 \, {\left(x e + d\right)}^{m} b c f^{2} m x^{4} e^{7} + 5904 \, {\left(x e + d\right)}^{m} b^{2} f g m x^{4} e^{7} + 11808 \, {\left(x e + d\right)}^{m} a c f g m x^{4} e^{7} + 5904 \, {\left(x e + d\right)}^{m} a b g^{2} m x^{4} e^{7} + 1008 \, {\left(x e + d\right)}^{m} c^{2} f^{2} x^{5} e^{7} + 4032 \, {\left(x e + d\right)}^{m} b c f g x^{5} e^{7} + 1008 \, {\left(x e + d\right)}^{m} b^{2} g^{2} x^{5} e^{7} + 2016 \, {\left(x e + d\right)}^{m} a c g^{2} x^{5} e^{7} + 295 \, {\left(x e + d\right)}^{m} a^{2} d f^{2} m^{4} e^{6} + 2350 \, {\left(x e + d\right)}^{m} a b d f^{2} m^{3} x e^{6} + 2350 \, {\left(x e + d\right)}^{m} a^{2} d f g m^{3} x e^{6} + 1478 \, {\left(x e + d\right)}^{m} b^{2} d f^{2} m^{2} x^{2} e^{6} + 2956 \, {\left(x e + d\right)}^{m} a c d f^{2} m^{2} x^{2} e^{6} + 5912 \, {\left(x e + d\right)}^{m} a b d f g m^{2} x^{2} e^{6} + 1478 \, {\left(x e + d\right)}^{m} a^{2} d g^{2} m^{2} x^{2} e^{6} + 840 \, {\left(x e + d\right)}^{m} b c d f^{2} m x^{3} e^{6} + 840 \, {\left(x e + d\right)}^{m} b^{2} d f g m x^{3} e^{6} + 1680 \, {\left(x e + d\right)}^{m} a c d f g m x^{3} e^{6} + 840 \, {\left(x e + d\right)}^{m} a b d g^{2} m x^{3} e^{6} - 490 \, {\left(x e + d\right)}^{m} a b d^{2} f^{2} m^{3} e^{5} - 490 \, {\left(x e + d\right)}^{m} a^{2} d^{2} f g m^{3} e^{5} - 1276 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f^{2} m^{2} x e^{5} - 2552 \, {\left(x e + d\right)}^{m} a c d^{2} f^{2} m^{2} x e^{5} - 5104 \, {\left(x e + d\right)}^{m} a b d^{2} f g m^{2} x e^{5} - 1276 \, {\left(x e + d\right)}^{m} a^{2} d^{2} g^{2} m^{2} x e^{5} - 1260 \, {\left(x e + d\right)}^{m} b c d^{2} f^{2} m x^{2} e^{5} - 1260 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f g m x^{2} e^{5} - 2520 \, {\left(x e + d\right)}^{m} a c d^{2} f g m x^{2} e^{5} - 1260 \, {\left(x e + d\right)}^{m} a b d^{2} g^{2} m x^{2} e^{5} + 358 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f^{2} m^{2} e^{4} + 716 \, {\left(x e + d\right)}^{m} a c d^{3} f^{2} m^{2} e^{4} + 1432 \, {\left(x e + d\right)}^{m} a b d^{3} f g m^{2} e^{4} + 358 \, {\left(x e + d\right)}^{m} a^{2} d^{3} g^{2} m^{2} e^{4} + 2520 \, {\left(x e + d\right)}^{m} b c d^{3} f^{2} m x e^{4} + 2520 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f g m x e^{4} + 5040 \, {\left(x e + d\right)}^{m} a c d^{3} f g m x e^{4} + 2520 \, {\left(x e + d\right)}^{m} a b d^{3} g^{2} m x e^{4} - 1284 \, {\left(x e + d\right)}^{m} b c d^{4} f^{2} m e^{3} - 1284 \, {\left(x e + d\right)}^{m} b^{2} d^{4} f g m e^{3} - 2568 \, {\left(x e + d\right)}^{m} a c d^{4} f g m e^{3} - 1284 \, {\left(x e + d\right)}^{m} a b d^{4} g^{2} m e^{3} + 1008 \, {\left(x e + d\right)}^{m} c^{2} d^{5} f^{2} e^{2} + 4032 \, {\left(x e + d\right)}^{m} b c d^{5} f g e^{2} + 1008 \, {\left(x e + d\right)}^{m} b^{2} d^{5} g^{2} e^{2} + 2016 \, {\left(x e + d\right)}^{m} a c d^{5} g^{2} e^{2} + 1665 \, {\left(x e + d\right)}^{m} a^{2} f^{2} m^{3} x e^{7} + 7858 \, {\left(x e + d\right)}^{m} a b f^{2} m^{2} x^{2} e^{7} + 7858 \, {\left(x e + d\right)}^{m} a^{2} f g m^{2} x^{2} e^{7} + 3796 \, {\left(x e + d\right)}^{m} b^{2} f^{2} m x^{3} e^{7} + 7592 \, {\left(x e + d\right)}^{m} a c f^{2} m x^{3} e^{7} + 15184 \, {\left(x e + d\right)}^{m} a b f g m x^{3} e^{7} + 3796 \, {\left(x e + d\right)}^{m} a^{2} g^{2} m x^{3} e^{7} + 2520 \, {\left(x e + d\right)}^{m} b c f^{2} x^{4} e^{7} + 2520 \, {\left(x e + d\right)}^{m} b^{2} f g x^{4} e^{7} + 5040 \, {\left(x e + d\right)}^{m} a c f g x^{4} e^{7} + 2520 \, {\left(x e + d\right)}^{m} a b g^{2} x^{4} e^{7} + 1665 \, {\left(x e + d\right)}^{m} a^{2} d f^{2} m^{3} e^{6} + 5508 \, {\left(x e + d\right)}^{m} a b d f^{2} m^{2} x e^{6} + 5508 \, {\left(x e + d\right)}^{m} a^{2} d f g m^{2} x e^{6} + 840 \, {\left(x e + d\right)}^{m} b^{2} d f^{2} m x^{2} e^{6} + 1680 \, {\left(x e + d\right)}^{m} a c d f^{2} m x^{2} e^{6} + 3360 \, {\left(x e + d\right)}^{m} a b d f g m x^{2} e^{6} + 840 \, {\left(x e + d\right)}^{m} a^{2} d g^{2} m x^{2} e^{6} - 2350 \, {\left(x e + d\right)}^{m} a b d^{2} f^{2} m^{2} e^{5} - 2350 \, {\left(x e + d\right)}^{m} a^{2} d^{2} f g m^{2} e^{5} - 1680 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f^{2} m x e^{5} - 3360 \, {\left(x e + d\right)}^{m} a c d^{2} f^{2} m x e^{5} - 6720 \, {\left(x e + d\right)}^{m} a b d^{2} f g m x e^{5} - 1680 \, {\left(x e + d\right)}^{m} a^{2} d^{2} g^{2} m x e^{5} + 1276 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f^{2} m e^{4} + 2552 \, {\left(x e + d\right)}^{m} a c d^{3} f^{2} m e^{4} + 5104 \, {\left(x e + d\right)}^{m} a b d^{3} f g m e^{4} + 1276 \, {\left(x e + d\right)}^{m} a^{2} d^{3} g^{2} m e^{4} - 2520 \, {\left(x e + d\right)}^{m} b c d^{4} f^{2} e^{3} - 2520 \, {\left(x e + d\right)}^{m} b^{2} d^{4} f g e^{3} - 5040 \, {\left(x e + d\right)}^{m} a c d^{4} f g e^{3} - 2520 \, {\left(x e + d\right)}^{m} a b d^{4} g^{2} e^{3} + 5104 \, {\left(x e + d\right)}^{m} a^{2} f^{2} m^{2} x e^{7} + 10548 \, {\left(x e + d\right)}^{m} a b f^{2} m x^{2} e^{7} + 10548 \, {\left(x e + d\right)}^{m} a^{2} f g m x^{2} e^{7} + 1680 \, {\left(x e + d\right)}^{m} b^{2} f^{2} x^{3} e^{7} + 3360 \, {\left(x e + d\right)}^{m} a c f^{2} x^{3} e^{7} + 6720 \, {\left(x e + d\right)}^{m} a b f g x^{3} e^{7} + 1680 \, {\left(x e + d\right)}^{m} a^{2} g^{2} x^{3} e^{7} + 5104 \, {\left(x e + d\right)}^{m} a^{2} d f^{2} m^{2} e^{6} + 5040 \, {\left(x e + d\right)}^{m} a b d f^{2} m x e^{6} + 5040 \, {\left(x e + d\right)}^{m} a^{2} d f g m x e^{6} - 5508 \, {\left(x e + d\right)}^{m} a b d^{2} f^{2} m e^{5} - 5508 \, {\left(x e + d\right)}^{m} a^{2} d^{2} f g m e^{5} + 1680 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f^{2} e^{4} + 3360 \, {\left(x e + d\right)}^{m} a c d^{3} f^{2} e^{4} + 6720 \, {\left(x e + d\right)}^{m} a b d^{3} f g e^{4} + 1680 \, {\left(x e + d\right)}^{m} a^{2} d^{3} g^{2} e^{4} + 8028 \, {\left(x e + d\right)}^{m} a^{2} f^{2} m x e^{7} + 5040 \, {\left(x e + d\right)}^{m} a b f^{2} x^{2} e^{7} + 5040 \, {\left(x e + d\right)}^{m} a^{2} f g x^{2} e^{7} + 8028 \, {\left(x e + d\right)}^{m} a^{2} d f^{2} m e^{6} - 5040 \, {\left(x e + d\right)}^{m} a b d^{2} f^{2} e^{5} - 5040 \, {\left(x e + d\right)}^{m} a^{2} d^{2} f g e^{5} + 5040 \, {\left(x e + d\right)}^{m} a^{2} f^{2} x e^{7} + 5040 \, {\left(x e + d\right)}^{m} a^{2} d f^{2} e^{6}}{m^{7} e^{7} + 28 \, m^{6} e^{7} + 322 \, m^{5} e^{7} + 1960 \, m^{4} e^{7} + 6769 \, m^{3} e^{7} + 13132 \, m^{2} e^{7} + 13068 \, m e^{7} + 5040 \, e^{7}}"," ",0,"((x*e + d)^m*c^2*g^2*m^6*x^7*e^7 + (x*e + d)^m*c^2*d*g^2*m^6*x^6*e^6 + 2*(x*e + d)^m*c^2*f*g*m^6*x^6*e^7 + 2*(x*e + d)^m*b*c*g^2*m^6*x^6*e^7 + 21*(x*e + d)^m*c^2*g^2*m^5*x^7*e^7 + 2*(x*e + d)^m*c^2*d*f*g*m^6*x^5*e^6 + 2*(x*e + d)^m*b*c*d*g^2*m^6*x^5*e^6 + 15*(x*e + d)^m*c^2*d*g^2*m^5*x^6*e^6 - 6*(x*e + d)^m*c^2*d^2*g^2*m^5*x^5*e^5 + (x*e + d)^m*c^2*f^2*m^6*x^5*e^7 + 4*(x*e + d)^m*b*c*f*g*m^6*x^5*e^7 + (x*e + d)^m*b^2*g^2*m^6*x^5*e^7 + 2*(x*e + d)^m*a*c*g^2*m^6*x^5*e^7 + 44*(x*e + d)^m*c^2*f*g*m^5*x^6*e^7 + 44*(x*e + d)^m*b*c*g^2*m^5*x^6*e^7 + 175*(x*e + d)^m*c^2*g^2*m^4*x^7*e^7 + (x*e + d)^m*c^2*d*f^2*m^6*x^4*e^6 + 4*(x*e + d)^m*b*c*d*f*g*m^6*x^4*e^6 + (x*e + d)^m*b^2*d*g^2*m^6*x^4*e^6 + 2*(x*e + d)^m*a*c*d*g^2*m^6*x^4*e^6 + 34*(x*e + d)^m*c^2*d*f*g*m^5*x^5*e^6 + 34*(x*e + d)^m*b*c*d*g^2*m^5*x^5*e^6 + 85*(x*e + d)^m*c^2*d*g^2*m^4*x^6*e^6 - 10*(x*e + d)^m*c^2*d^2*f*g*m^5*x^4*e^5 - 10*(x*e + d)^m*b*c*d^2*g^2*m^5*x^4*e^5 - 60*(x*e + d)^m*c^2*d^2*g^2*m^4*x^5*e^5 + 30*(x*e + d)^m*c^2*d^3*g^2*m^4*x^4*e^4 + 2*(x*e + d)^m*b*c*f^2*m^6*x^4*e^7 + 2*(x*e + d)^m*b^2*f*g*m^6*x^4*e^7 + 4*(x*e + d)^m*a*c*f*g*m^6*x^4*e^7 + 2*(x*e + d)^m*a*b*g^2*m^6*x^4*e^7 + 23*(x*e + d)^m*c^2*f^2*m^5*x^5*e^7 + 92*(x*e + d)^m*b*c*f*g*m^5*x^5*e^7 + 23*(x*e + d)^m*b^2*g^2*m^5*x^5*e^7 + 46*(x*e + d)^m*a*c*g^2*m^5*x^5*e^7 + 380*(x*e + d)^m*c^2*f*g*m^4*x^6*e^7 + 380*(x*e + d)^m*b*c*g^2*m^4*x^6*e^7 + 735*(x*e + d)^m*c^2*g^2*m^3*x^7*e^7 + 2*(x*e + d)^m*b*c*d*f^2*m^6*x^3*e^6 + 2*(x*e + d)^m*b^2*d*f*g*m^6*x^3*e^6 + 4*(x*e + d)^m*a*c*d*f*g*m^6*x^3*e^6 + 2*(x*e + d)^m*a*b*d*g^2*m^6*x^3*e^6 + 19*(x*e + d)^m*c^2*d*f^2*m^5*x^4*e^6 + 76*(x*e + d)^m*b*c*d*f*g*m^5*x^4*e^6 + 19*(x*e + d)^m*b^2*d*g^2*m^5*x^4*e^6 + 38*(x*e + d)^m*a*c*d*g^2*m^5*x^4*e^6 + 210*(x*e + d)^m*c^2*d*f*g*m^4*x^5*e^6 + 210*(x*e + d)^m*b*c*d*g^2*m^4*x^5*e^6 + 225*(x*e + d)^m*c^2*d*g^2*m^3*x^6*e^6 - 4*(x*e + d)^m*c^2*d^2*f^2*m^5*x^3*e^5 - 16*(x*e + d)^m*b*c*d^2*f*g*m^5*x^3*e^5 - 4*(x*e + d)^m*b^2*d^2*g^2*m^5*x^3*e^5 - 8*(x*e + d)^m*a*c*d^2*g^2*m^5*x^3*e^5 - 130*(x*e + d)^m*c^2*d^2*f*g*m^4*x^4*e^5 - 130*(x*e + d)^m*b*c*d^2*g^2*m^4*x^4*e^5 - 210*(x*e + d)^m*c^2*d^2*g^2*m^3*x^5*e^5 + 40*(x*e + d)^m*c^2*d^3*f*g*m^4*x^3*e^4 + 40*(x*e + d)^m*b*c*d^3*g^2*m^4*x^3*e^4 + 180*(x*e + d)^m*c^2*d^3*g^2*m^3*x^4*e^4 - 120*(x*e + d)^m*c^2*d^4*g^2*m^3*x^3*e^3 + (x*e + d)^m*b^2*f^2*m^6*x^3*e^7 + 2*(x*e + d)^m*a*c*f^2*m^6*x^3*e^7 + 4*(x*e + d)^m*a*b*f*g*m^6*x^3*e^7 + (x*e + d)^m*a^2*g^2*m^6*x^3*e^7 + 48*(x*e + d)^m*b*c*f^2*m^5*x^4*e^7 + 48*(x*e + d)^m*b^2*f*g*m^5*x^4*e^7 + 96*(x*e + d)^m*a*c*f*g*m^5*x^4*e^7 + 48*(x*e + d)^m*a*b*g^2*m^5*x^4*e^7 + 207*(x*e + d)^m*c^2*f^2*m^4*x^5*e^7 + 828*(x*e + d)^m*b*c*f*g*m^4*x^5*e^7 + 207*(x*e + d)^m*b^2*g^2*m^4*x^5*e^7 + 414*(x*e + d)^m*a*c*g^2*m^4*x^5*e^7 + 1640*(x*e + d)^m*c^2*f*g*m^3*x^6*e^7 + 1640*(x*e + d)^m*b*c*g^2*m^3*x^6*e^7 + 1624*(x*e + d)^m*c^2*g^2*m^2*x^7*e^7 + (x*e + d)^m*b^2*d*f^2*m^6*x^2*e^6 + 2*(x*e + d)^m*a*c*d*f^2*m^6*x^2*e^6 + 4*(x*e + d)^m*a*b*d*f*g*m^6*x^2*e^6 + (x*e + d)^m*a^2*d*g^2*m^6*x^2*e^6 + 42*(x*e + d)^m*b*c*d*f^2*m^5*x^3*e^6 + 42*(x*e + d)^m*b^2*d*f*g*m^5*x^3*e^6 + 84*(x*e + d)^m*a*c*d*f*g*m^5*x^3*e^6 + 42*(x*e + d)^m*a*b*d*g^2*m^5*x^3*e^6 + 131*(x*e + d)^m*c^2*d*f^2*m^4*x^4*e^6 + 524*(x*e + d)^m*b*c*d*f*g*m^4*x^4*e^6 + 131*(x*e + d)^m*b^2*d*g^2*m^4*x^4*e^6 + 262*(x*e + d)^m*a*c*d*g^2*m^4*x^4*e^6 + 590*(x*e + d)^m*c^2*d*f*g*m^3*x^5*e^6 + 590*(x*e + d)^m*b*c*d*g^2*m^3*x^5*e^6 + 274*(x*e + d)^m*c^2*d*g^2*m^2*x^6*e^6 - 6*(x*e + d)^m*b*c*d^2*f^2*m^5*x^2*e^5 - 6*(x*e + d)^m*b^2*d^2*f*g*m^5*x^2*e^5 - 12*(x*e + d)^m*a*c*d^2*f*g*m^5*x^2*e^5 - 6*(x*e + d)^m*a*b*d^2*g^2*m^5*x^2*e^5 - 64*(x*e + d)^m*c^2*d^2*f^2*m^4*x^3*e^5 - 256*(x*e + d)^m*b*c*d^2*f*g*m^4*x^3*e^5 - 64*(x*e + d)^m*b^2*d^2*g^2*m^4*x^3*e^5 - 128*(x*e + d)^m*a*c*d^2*g^2*m^4*x^3*e^5 - 530*(x*e + d)^m*c^2*d^2*f*g*m^3*x^4*e^5 - 530*(x*e + d)^m*b*c*d^2*g^2*m^3*x^4*e^5 - 300*(x*e + d)^m*c^2*d^2*g^2*m^2*x^5*e^5 + 12*(x*e + d)^m*c^2*d^3*f^2*m^4*x^2*e^4 + 48*(x*e + d)^m*b*c*d^3*f*g*m^4*x^2*e^4 + 12*(x*e + d)^m*b^2*d^3*g^2*m^4*x^2*e^4 + 24*(x*e + d)^m*a*c*d^3*g^2*m^4*x^2*e^4 + 400*(x*e + d)^m*c^2*d^3*f*g*m^3*x^3*e^4 + 400*(x*e + d)^m*b*c*d^3*g^2*m^3*x^3*e^4 + 330*(x*e + d)^m*c^2*d^3*g^2*m^2*x^4*e^4 - 120*(x*e + d)^m*c^2*d^4*f*g*m^3*x^2*e^3 - 120*(x*e + d)^m*b*c*d^4*g^2*m^3*x^2*e^3 - 360*(x*e + d)^m*c^2*d^4*g^2*m^2*x^3*e^3 + 360*(x*e + d)^m*c^2*d^5*g^2*m^2*x^2*e^2 + 2*(x*e + d)^m*a*b*f^2*m^6*x^2*e^7 + 2*(x*e + d)^m*a^2*f*g*m^6*x^2*e^7 + 25*(x*e + d)^m*b^2*f^2*m^5*x^3*e^7 + 50*(x*e + d)^m*a*c*f^2*m^5*x^3*e^7 + 100*(x*e + d)^m*a*b*f*g*m^5*x^3*e^7 + 25*(x*e + d)^m*a^2*g^2*m^5*x^3*e^7 + 452*(x*e + d)^m*b*c*f^2*m^4*x^4*e^7 + 452*(x*e + d)^m*b^2*f*g*m^4*x^4*e^7 + 904*(x*e + d)^m*a*c*f*g*m^4*x^4*e^7 + 452*(x*e + d)^m*a*b*g^2*m^4*x^4*e^7 + 925*(x*e + d)^m*c^2*f^2*m^3*x^5*e^7 + 3700*(x*e + d)^m*b*c*f*g*m^3*x^5*e^7 + 925*(x*e + d)^m*b^2*g^2*m^3*x^5*e^7 + 1850*(x*e + d)^m*a*c*g^2*m^3*x^5*e^7 + 3698*(x*e + d)^m*c^2*f*g*m^2*x^6*e^7 + 3698*(x*e + d)^m*b*c*g^2*m^2*x^6*e^7 + 1764*(x*e + d)^m*c^2*g^2*m*x^7*e^7 + 2*(x*e + d)^m*a*b*d*f^2*m^6*x*e^6 + 2*(x*e + d)^m*a^2*d*f*g*m^6*x*e^6 + 23*(x*e + d)^m*b^2*d*f^2*m^5*x^2*e^6 + 46*(x*e + d)^m*a*c*d*f^2*m^5*x^2*e^6 + 92*(x*e + d)^m*a*b*d*f*g*m^5*x^2*e^6 + 23*(x*e + d)^m*a^2*d*g^2*m^5*x^2*e^6 + 326*(x*e + d)^m*b*c*d*f^2*m^4*x^3*e^6 + 326*(x*e + d)^m*b^2*d*f*g*m^4*x^3*e^6 + 652*(x*e + d)^m*a*c*d*f*g*m^4*x^3*e^6 + 326*(x*e + d)^m*a*b*d*g^2*m^4*x^3*e^6 + 401*(x*e + d)^m*c^2*d*f^2*m^3*x^4*e^6 + 1604*(x*e + d)^m*b*c*d*f*g*m^3*x^4*e^6 + 401*(x*e + d)^m*b^2*d*g^2*m^3*x^4*e^6 + 802*(x*e + d)^m*a*c*d*g^2*m^3*x^4*e^6 + 748*(x*e + d)^m*c^2*d*f*g*m^2*x^5*e^6 + 748*(x*e + d)^m*b*c*d*g^2*m^2*x^5*e^6 + 120*(x*e + d)^m*c^2*d*g^2*m*x^6*e^6 - 2*(x*e + d)^m*b^2*d^2*f^2*m^5*x*e^5 - 4*(x*e + d)^m*a*c*d^2*f^2*m^5*x*e^5 - 8*(x*e + d)^m*a*b*d^2*f*g*m^5*x*e^5 - 2*(x*e + d)^m*a^2*d^2*g^2*m^5*x*e^5 - 114*(x*e + d)^m*b*c*d^2*f^2*m^4*x^2*e^5 - 114*(x*e + d)^m*b^2*d^2*f*g*m^4*x^2*e^5 - 228*(x*e + d)^m*a*c*d^2*f*g*m^4*x^2*e^5 - 114*(x*e + d)^m*a*b*d^2*g^2*m^4*x^2*e^5 - 332*(x*e + d)^m*c^2*d^2*f^2*m^3*x^3*e^5 - 1328*(x*e + d)^m*b*c*d^2*f*g*m^3*x^3*e^5 - 332*(x*e + d)^m*b^2*d^2*g^2*m^3*x^3*e^5 - 664*(x*e + d)^m*a*c*d^2*g^2*m^3*x^3*e^5 - 830*(x*e + d)^m*c^2*d^2*f*g*m^2*x^4*e^5 - 830*(x*e + d)^m*b*c*d^2*g^2*m^2*x^4*e^5 - 144*(x*e + d)^m*c^2*d^2*g^2*m*x^5*e^5 + 12*(x*e + d)^m*b*c*d^3*f^2*m^4*x*e^4 + 12*(x*e + d)^m*b^2*d^3*f*g*m^4*x*e^4 + 24*(x*e + d)^m*a*c*d^3*f*g*m^4*x*e^4 + 12*(x*e + d)^m*a*b*d^3*g^2*m^4*x*e^4 + 168*(x*e + d)^m*c^2*d^3*f^2*m^3*x^2*e^4 + 672*(x*e + d)^m*b*c*d^3*f*g*m^3*x^2*e^4 + 168*(x*e + d)^m*b^2*d^3*g^2*m^3*x^2*e^4 + 336*(x*e + d)^m*a*c*d^3*g^2*m^3*x^2*e^4 + 920*(x*e + d)^m*c^2*d^3*f*g*m^2*x^3*e^4 + 920*(x*e + d)^m*b*c*d^3*g^2*m^2*x^3*e^4 + 180*(x*e + d)^m*c^2*d^3*g^2*m*x^4*e^4 - 24*(x*e + d)^m*c^2*d^4*f^2*m^3*x*e^3 - 96*(x*e + d)^m*b*c*d^4*f*g*m^3*x*e^3 - 24*(x*e + d)^m*b^2*d^4*g^2*m^3*x*e^3 - 48*(x*e + d)^m*a*c*d^4*g^2*m^3*x*e^3 - 960*(x*e + d)^m*c^2*d^4*f*g*m^2*x^2*e^3 - 960*(x*e + d)^m*b*c*d^4*g^2*m^2*x^2*e^3 - 240*(x*e + d)^m*c^2*d^4*g^2*m*x^3*e^3 + 240*(x*e + d)^m*c^2*d^5*f*g*m^2*x*e^2 + 240*(x*e + d)^m*b*c*d^5*g^2*m^2*x*e^2 + 360*(x*e + d)^m*c^2*d^5*g^2*m*x^2*e^2 - 720*(x*e + d)^m*c^2*d^6*g^2*m*x*e + (x*e + d)^m*a^2*f^2*m^6*x*e^7 + 52*(x*e + d)^m*a*b*f^2*m^5*x^2*e^7 + 52*(x*e + d)^m*a^2*f*g*m^5*x^2*e^7 + 247*(x*e + d)^m*b^2*f^2*m^4*x^3*e^7 + 494*(x*e + d)^m*a*c*f^2*m^4*x^3*e^7 + 988*(x*e + d)^m*a*b*f*g*m^4*x^3*e^7 + 247*(x*e + d)^m*a^2*g^2*m^4*x^3*e^7 + 2112*(x*e + d)^m*b*c*f^2*m^3*x^4*e^7 + 2112*(x*e + d)^m*b^2*f*g*m^3*x^4*e^7 + 4224*(x*e + d)^m*a*c*f*g*m^3*x^4*e^7 + 2112*(x*e + d)^m*a*b*g^2*m^3*x^4*e^7 + 2144*(x*e + d)^m*c^2*f^2*m^2*x^5*e^7 + 8576*(x*e + d)^m*b*c*f*g*m^2*x^5*e^7 + 2144*(x*e + d)^m*b^2*g^2*m^2*x^5*e^7 + 4288*(x*e + d)^m*a*c*g^2*m^2*x^5*e^7 + 4076*(x*e + d)^m*c^2*f*g*m*x^6*e^7 + 4076*(x*e + d)^m*b*c*g^2*m*x^6*e^7 + 720*(x*e + d)^m*c^2*g^2*x^7*e^7 + (x*e + d)^m*a^2*d*f^2*m^6*e^6 + 50*(x*e + d)^m*a*b*d*f^2*m^5*x*e^6 + 50*(x*e + d)^m*a^2*d*f*g*m^5*x*e^6 + 201*(x*e + d)^m*b^2*d*f^2*m^4*x^2*e^6 + 402*(x*e + d)^m*a*c*d*f^2*m^4*x^2*e^6 + 804*(x*e + d)^m*a*b*d*f*g*m^4*x^2*e^6 + 201*(x*e + d)^m*a^2*d*g^2*m^4*x^2*e^6 + 1134*(x*e + d)^m*b*c*d*f^2*m^3*x^3*e^6 + 1134*(x*e + d)^m*b^2*d*f*g*m^3*x^3*e^6 + 2268*(x*e + d)^m*a*c*d*f*g*m^3*x^3*e^6 + 1134*(x*e + d)^m*a*b*d*g^2*m^3*x^3*e^6 + 540*(x*e + d)^m*c^2*d*f^2*m^2*x^4*e^6 + 2160*(x*e + d)^m*b*c*d*f*g*m^2*x^4*e^6 + 540*(x*e + d)^m*b^2*d*g^2*m^2*x^4*e^6 + 1080*(x*e + d)^m*a*c*d*g^2*m^2*x^4*e^6 + 336*(x*e + d)^m*c^2*d*f*g*m*x^5*e^6 + 336*(x*e + d)^m*b*c*d*g^2*m*x^5*e^6 - 2*(x*e + d)^m*a*b*d^2*f^2*m^5*e^5 - 2*(x*e + d)^m*a^2*d^2*f*g*m^5*e^5 - 44*(x*e + d)^m*b^2*d^2*f^2*m^4*x*e^5 - 88*(x*e + d)^m*a*c*d^2*f^2*m^4*x*e^5 - 176*(x*e + d)^m*a*b*d^2*f*g*m^4*x*e^5 - 44*(x*e + d)^m*a^2*d^2*g^2*m^4*x*e^5 - 750*(x*e + d)^m*b*c*d^2*f^2*m^3*x^2*e^5 - 750*(x*e + d)^m*b^2*d^2*f*g*m^3*x^2*e^5 - 1500*(x*e + d)^m*a*c*d^2*f*g*m^3*x^2*e^5 - 750*(x*e + d)^m*a*b*d^2*g^2*m^3*x^2*e^5 - 608*(x*e + d)^m*c^2*d^2*f^2*m^2*x^3*e^5 - 2432*(x*e + d)^m*b*c*d^2*f*g*m^2*x^3*e^5 - 608*(x*e + d)^m*b^2*d^2*g^2*m^2*x^3*e^5 - 1216*(x*e + d)^m*a*c*d^2*g^2*m^2*x^3*e^5 - 420*(x*e + d)^m*c^2*d^2*f*g*m*x^4*e^5 - 420*(x*e + d)^m*b*c*d^2*g^2*m*x^4*e^5 + 2*(x*e + d)^m*b^2*d^3*f^2*m^4*e^4 + 4*(x*e + d)^m*a*c*d^3*f^2*m^4*e^4 + 8*(x*e + d)^m*a*b*d^3*f*g*m^4*e^4 + 2*(x*e + d)^m*a^2*d^3*g^2*m^4*e^4 + 216*(x*e + d)^m*b*c*d^3*f^2*m^3*x*e^4 + 216*(x*e + d)^m*b^2*d^3*f*g*m^3*x*e^4 + 432*(x*e + d)^m*a*c*d^3*f*g*m^3*x*e^4 + 216*(x*e + d)^m*a*b*d^3*g^2*m^3*x*e^4 + 660*(x*e + d)^m*c^2*d^3*f^2*m^2*x^2*e^4 + 2640*(x*e + d)^m*b*c*d^3*f*g*m^2*x^2*e^4 + 660*(x*e + d)^m*b^2*d^3*g^2*m^2*x^2*e^4 + 1320*(x*e + d)^m*a*c*d^3*g^2*m^2*x^2*e^4 + 560*(x*e + d)^m*c^2*d^3*f*g*m*x^3*e^4 + 560*(x*e + d)^m*b*c*d^3*g^2*m*x^3*e^4 - 12*(x*e + d)^m*b*c*d^4*f^2*m^3*e^3 - 12*(x*e + d)^m*b^2*d^4*f*g*m^3*e^3 - 24*(x*e + d)^m*a*c*d^4*f*g*m^3*e^3 - 12*(x*e + d)^m*a*b*d^4*g^2*m^3*e^3 - 312*(x*e + d)^m*c^2*d^4*f^2*m^2*x*e^3 - 1248*(x*e + d)^m*b*c*d^4*f*g*m^2*x*e^3 - 312*(x*e + d)^m*b^2*d^4*g^2*m^2*x*e^3 - 624*(x*e + d)^m*a*c*d^4*g^2*m^2*x*e^3 - 840*(x*e + d)^m*c^2*d^4*f*g*m*x^2*e^3 - 840*(x*e + d)^m*b*c*d^4*g^2*m*x^2*e^3 + 24*(x*e + d)^m*c^2*d^5*f^2*m^2*e^2 + 96*(x*e + d)^m*b*c*d^5*f*g*m^2*e^2 + 24*(x*e + d)^m*b^2*d^5*g^2*m^2*e^2 + 48*(x*e + d)^m*a*c*d^5*g^2*m^2*e^2 + 1680*(x*e + d)^m*c^2*d^5*f*g*m*x*e^2 + 1680*(x*e + d)^m*b*c*d^5*g^2*m*x*e^2 - 240*(x*e + d)^m*c^2*d^6*f*g*m*e - 240*(x*e + d)^m*b*c*d^6*g^2*m*e + 720*(x*e + d)^m*c^2*d^7*g^2 + 27*(x*e + d)^m*a^2*f^2*m^5*x*e^7 + 540*(x*e + d)^m*a*b*f^2*m^4*x^2*e^7 + 540*(x*e + d)^m*a^2*f*g*m^4*x^2*e^7 + 1219*(x*e + d)^m*b^2*f^2*m^3*x^3*e^7 + 2438*(x*e + d)^m*a*c*f^2*m^3*x^3*e^7 + 4876*(x*e + d)^m*a*b*f*g*m^3*x^3*e^7 + 1219*(x*e + d)^m*a^2*g^2*m^3*x^3*e^7 + 5090*(x*e + d)^m*b*c*f^2*m^2*x^4*e^7 + 5090*(x*e + d)^m*b^2*f*g*m^2*x^4*e^7 + 10180*(x*e + d)^m*a*c*f*g*m^2*x^4*e^7 + 5090*(x*e + d)^m*a*b*g^2*m^2*x^4*e^7 + 2412*(x*e + d)^m*c^2*f^2*m*x^5*e^7 + 9648*(x*e + d)^m*b*c*f*g*m*x^5*e^7 + 2412*(x*e + d)^m*b^2*g^2*m*x^5*e^7 + 4824*(x*e + d)^m*a*c*g^2*m*x^5*e^7 + 1680*(x*e + d)^m*c^2*f*g*x^6*e^7 + 1680*(x*e + d)^m*b*c*g^2*x^6*e^7 + 27*(x*e + d)^m*a^2*d*f^2*m^5*e^6 + 490*(x*e + d)^m*a*b*d*f^2*m^4*x*e^6 + 490*(x*e + d)^m*a^2*d*f*g*m^4*x*e^6 + 817*(x*e + d)^m*b^2*d*f^2*m^3*x^2*e^6 + 1634*(x*e + d)^m*a*c*d*f^2*m^3*x^2*e^6 + 3268*(x*e + d)^m*a*b*d*f*g*m^3*x^2*e^6 + 817*(x*e + d)^m*a^2*d*g^2*m^3*x^2*e^6 + 1688*(x*e + d)^m*b*c*d*f^2*m^2*x^3*e^6 + 1688*(x*e + d)^m*b^2*d*f*g*m^2*x^3*e^6 + 3376*(x*e + d)^m*a*c*d*f*g*m^2*x^3*e^6 + 1688*(x*e + d)^m*a*b*d*g^2*m^2*x^3*e^6 + 252*(x*e + d)^m*c^2*d*f^2*m*x^4*e^6 + 1008*(x*e + d)^m*b*c*d*f*g*m*x^4*e^6 + 252*(x*e + d)^m*b^2*d*g^2*m*x^4*e^6 + 504*(x*e + d)^m*a*c*d*g^2*m*x^4*e^6 - 50*(x*e + d)^m*a*b*d^2*f^2*m^4*e^5 - 50*(x*e + d)^m*a^2*d^2*f*g*m^4*e^5 - 358*(x*e + d)^m*b^2*d^2*f^2*m^3*x*e^5 - 716*(x*e + d)^m*a*c*d^2*f^2*m^3*x*e^5 - 1432*(x*e + d)^m*a*b*d^2*f*g*m^3*x*e^5 - 358*(x*e + d)^m*a^2*d^2*g^2*m^3*x*e^5 - 1902*(x*e + d)^m*b*c*d^2*f^2*m^2*x^2*e^5 - 1902*(x*e + d)^m*b^2*d^2*f*g*m^2*x^2*e^5 - 3804*(x*e + d)^m*a*c*d^2*f*g*m^2*x^2*e^5 - 1902*(x*e + d)^m*a*b*d^2*g^2*m^2*x^2*e^5 - 336*(x*e + d)^m*c^2*d^2*f^2*m*x^3*e^5 - 1344*(x*e + d)^m*b*c*d^2*f*g*m*x^3*e^5 - 336*(x*e + d)^m*b^2*d^2*g^2*m*x^3*e^5 - 672*(x*e + d)^m*a*c*d^2*g^2*m*x^3*e^5 + 44*(x*e + d)^m*b^2*d^3*f^2*m^3*e^4 + 88*(x*e + d)^m*a*c*d^3*f^2*m^3*e^4 + 176*(x*e + d)^m*a*b*d^3*f*g*m^3*e^4 + 44*(x*e + d)^m*a^2*d^3*g^2*m^3*e^4 + 1284*(x*e + d)^m*b*c*d^3*f^2*m^2*x*e^4 + 1284*(x*e + d)^m*b^2*d^3*f*g*m^2*x*e^4 + 2568*(x*e + d)^m*a*c*d^3*f*g*m^2*x*e^4 + 1284*(x*e + d)^m*a*b*d^3*g^2*m^2*x*e^4 + 504*(x*e + d)^m*c^2*d^3*f^2*m*x^2*e^4 + 2016*(x*e + d)^m*b*c*d^3*f*g*m*x^2*e^4 + 504*(x*e + d)^m*b^2*d^3*g^2*m*x^2*e^4 + 1008*(x*e + d)^m*a*c*d^3*g^2*m*x^2*e^4 - 216*(x*e + d)^m*b*c*d^4*f^2*m^2*e^3 - 216*(x*e + d)^m*b^2*d^4*f*g*m^2*e^3 - 432*(x*e + d)^m*a*c*d^4*f*g*m^2*e^3 - 216*(x*e + d)^m*a*b*d^4*g^2*m^2*e^3 - 1008*(x*e + d)^m*c^2*d^4*f^2*m*x*e^3 - 4032*(x*e + d)^m*b*c*d^4*f*g*m*x*e^3 - 1008*(x*e + d)^m*b^2*d^4*g^2*m*x*e^3 - 2016*(x*e + d)^m*a*c*d^4*g^2*m*x*e^3 + 312*(x*e + d)^m*c^2*d^5*f^2*m*e^2 + 1248*(x*e + d)^m*b*c*d^5*f*g*m*e^2 + 312*(x*e + d)^m*b^2*d^5*g^2*m*e^2 + 624*(x*e + d)^m*a*c*d^5*g^2*m*e^2 - 1680*(x*e + d)^m*c^2*d^6*f*g*e - 1680*(x*e + d)^m*b*c*d^6*g^2*e + 295*(x*e + d)^m*a^2*f^2*m^4*x*e^7 + 2840*(x*e + d)^m*a*b*f^2*m^3*x^2*e^7 + 2840*(x*e + d)^m*a^2*f*g*m^3*x^2*e^7 + 3112*(x*e + d)^m*b^2*f^2*m^2*x^3*e^7 + 6224*(x*e + d)^m*a*c*f^2*m^2*x^3*e^7 + 12448*(x*e + d)^m*a*b*f*g*m^2*x^3*e^7 + 3112*(x*e + d)^m*a^2*g^2*m^2*x^3*e^7 + 5904*(x*e + d)^m*b*c*f^2*m*x^4*e^7 + 5904*(x*e + d)^m*b^2*f*g*m*x^4*e^7 + 11808*(x*e + d)^m*a*c*f*g*m*x^4*e^7 + 5904*(x*e + d)^m*a*b*g^2*m*x^4*e^7 + 1008*(x*e + d)^m*c^2*f^2*x^5*e^7 + 4032*(x*e + d)^m*b*c*f*g*x^5*e^7 + 1008*(x*e + d)^m*b^2*g^2*x^5*e^7 + 2016*(x*e + d)^m*a*c*g^2*x^5*e^7 + 295*(x*e + d)^m*a^2*d*f^2*m^4*e^6 + 2350*(x*e + d)^m*a*b*d*f^2*m^3*x*e^6 + 2350*(x*e + d)^m*a^2*d*f*g*m^3*x*e^6 + 1478*(x*e + d)^m*b^2*d*f^2*m^2*x^2*e^6 + 2956*(x*e + d)^m*a*c*d*f^2*m^2*x^2*e^6 + 5912*(x*e + d)^m*a*b*d*f*g*m^2*x^2*e^6 + 1478*(x*e + d)^m*a^2*d*g^2*m^2*x^2*e^6 + 840*(x*e + d)^m*b*c*d*f^2*m*x^3*e^6 + 840*(x*e + d)^m*b^2*d*f*g*m*x^3*e^6 + 1680*(x*e + d)^m*a*c*d*f*g*m*x^3*e^6 + 840*(x*e + d)^m*a*b*d*g^2*m*x^3*e^6 - 490*(x*e + d)^m*a*b*d^2*f^2*m^3*e^5 - 490*(x*e + d)^m*a^2*d^2*f*g*m^3*e^5 - 1276*(x*e + d)^m*b^2*d^2*f^2*m^2*x*e^5 - 2552*(x*e + d)^m*a*c*d^2*f^2*m^2*x*e^5 - 5104*(x*e + d)^m*a*b*d^2*f*g*m^2*x*e^5 - 1276*(x*e + d)^m*a^2*d^2*g^2*m^2*x*e^5 - 1260*(x*e + d)^m*b*c*d^2*f^2*m*x^2*e^5 - 1260*(x*e + d)^m*b^2*d^2*f*g*m*x^2*e^5 - 2520*(x*e + d)^m*a*c*d^2*f*g*m*x^2*e^5 - 1260*(x*e + d)^m*a*b*d^2*g^2*m*x^2*e^5 + 358*(x*e + d)^m*b^2*d^3*f^2*m^2*e^4 + 716*(x*e + d)^m*a*c*d^3*f^2*m^2*e^4 + 1432*(x*e + d)^m*a*b*d^3*f*g*m^2*e^4 + 358*(x*e + d)^m*a^2*d^3*g^2*m^2*e^4 + 2520*(x*e + d)^m*b*c*d^3*f^2*m*x*e^4 + 2520*(x*e + d)^m*b^2*d^3*f*g*m*x*e^4 + 5040*(x*e + d)^m*a*c*d^3*f*g*m*x*e^4 + 2520*(x*e + d)^m*a*b*d^3*g^2*m*x*e^4 - 1284*(x*e + d)^m*b*c*d^4*f^2*m*e^3 - 1284*(x*e + d)^m*b^2*d^4*f*g*m*e^3 - 2568*(x*e + d)^m*a*c*d^4*f*g*m*e^3 - 1284*(x*e + d)^m*a*b*d^4*g^2*m*e^3 + 1008*(x*e + d)^m*c^2*d^5*f^2*e^2 + 4032*(x*e + d)^m*b*c*d^5*f*g*e^2 + 1008*(x*e + d)^m*b^2*d^5*g^2*e^2 + 2016*(x*e + d)^m*a*c*d^5*g^2*e^2 + 1665*(x*e + d)^m*a^2*f^2*m^3*x*e^7 + 7858*(x*e + d)^m*a*b*f^2*m^2*x^2*e^7 + 7858*(x*e + d)^m*a^2*f*g*m^2*x^2*e^7 + 3796*(x*e + d)^m*b^2*f^2*m*x^3*e^7 + 7592*(x*e + d)^m*a*c*f^2*m*x^3*e^7 + 15184*(x*e + d)^m*a*b*f*g*m*x^3*e^7 + 3796*(x*e + d)^m*a^2*g^2*m*x^3*e^7 + 2520*(x*e + d)^m*b*c*f^2*x^4*e^7 + 2520*(x*e + d)^m*b^2*f*g*x^4*e^7 + 5040*(x*e + d)^m*a*c*f*g*x^4*e^7 + 2520*(x*e + d)^m*a*b*g^2*x^4*e^7 + 1665*(x*e + d)^m*a^2*d*f^2*m^3*e^6 + 5508*(x*e + d)^m*a*b*d*f^2*m^2*x*e^6 + 5508*(x*e + d)^m*a^2*d*f*g*m^2*x*e^6 + 840*(x*e + d)^m*b^2*d*f^2*m*x^2*e^6 + 1680*(x*e + d)^m*a*c*d*f^2*m*x^2*e^6 + 3360*(x*e + d)^m*a*b*d*f*g*m*x^2*e^6 + 840*(x*e + d)^m*a^2*d*g^2*m*x^2*e^6 - 2350*(x*e + d)^m*a*b*d^2*f^2*m^2*e^5 - 2350*(x*e + d)^m*a^2*d^2*f*g*m^2*e^5 - 1680*(x*e + d)^m*b^2*d^2*f^2*m*x*e^5 - 3360*(x*e + d)^m*a*c*d^2*f^2*m*x*e^5 - 6720*(x*e + d)^m*a*b*d^2*f*g*m*x*e^5 - 1680*(x*e + d)^m*a^2*d^2*g^2*m*x*e^5 + 1276*(x*e + d)^m*b^2*d^3*f^2*m*e^4 + 2552*(x*e + d)^m*a*c*d^3*f^2*m*e^4 + 5104*(x*e + d)^m*a*b*d^3*f*g*m*e^4 + 1276*(x*e + d)^m*a^2*d^3*g^2*m*e^4 - 2520*(x*e + d)^m*b*c*d^4*f^2*e^3 - 2520*(x*e + d)^m*b^2*d^4*f*g*e^3 - 5040*(x*e + d)^m*a*c*d^4*f*g*e^3 - 2520*(x*e + d)^m*a*b*d^4*g^2*e^3 + 5104*(x*e + d)^m*a^2*f^2*m^2*x*e^7 + 10548*(x*e + d)^m*a*b*f^2*m*x^2*e^7 + 10548*(x*e + d)^m*a^2*f*g*m*x^2*e^7 + 1680*(x*e + d)^m*b^2*f^2*x^3*e^7 + 3360*(x*e + d)^m*a*c*f^2*x^3*e^7 + 6720*(x*e + d)^m*a*b*f*g*x^3*e^7 + 1680*(x*e + d)^m*a^2*g^2*x^3*e^7 + 5104*(x*e + d)^m*a^2*d*f^2*m^2*e^6 + 5040*(x*e + d)^m*a*b*d*f^2*m*x*e^6 + 5040*(x*e + d)^m*a^2*d*f*g*m*x*e^6 - 5508*(x*e + d)^m*a*b*d^2*f^2*m*e^5 - 5508*(x*e + d)^m*a^2*d^2*f*g*m*e^5 + 1680*(x*e + d)^m*b^2*d^3*f^2*e^4 + 3360*(x*e + d)^m*a*c*d^3*f^2*e^4 + 6720*(x*e + d)^m*a*b*d^3*f*g*e^4 + 1680*(x*e + d)^m*a^2*d^3*g^2*e^4 + 8028*(x*e + d)^m*a^2*f^2*m*x*e^7 + 5040*(x*e + d)^m*a*b*f^2*x^2*e^7 + 5040*(x*e + d)^m*a^2*f*g*x^2*e^7 + 8028*(x*e + d)^m*a^2*d*f^2*m*e^6 - 5040*(x*e + d)^m*a*b*d^2*f^2*e^5 - 5040*(x*e + d)^m*a^2*d^2*f*g*e^5 + 5040*(x*e + d)^m*a^2*f^2*x*e^7 + 5040*(x*e + d)^m*a^2*d*f^2*e^6)/(m^7*e^7 + 28*m^6*e^7 + 322*m^5*e^7 + 1960*m^4*e^7 + 6769*m^3*e^7 + 13132*m^2*e^7 + 13068*m*e^7 + 5040*e^7)","B",0
926,1,4940,0,0.354719," ","integrate((e*x+d)^m*(g*x+f)*(c*x^2+b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(x e + d\right)}^{m} c^{2} g m^{5} x^{6} e^{6} + {\left(x e + d\right)}^{m} c^{2} d g m^{5} x^{5} e^{5} + {\left(x e + d\right)}^{m} c^{2} f m^{5} x^{5} e^{6} + 2 \, {\left(x e + d\right)}^{m} b c g m^{5} x^{5} e^{6} + 15 \, {\left(x e + d\right)}^{m} c^{2} g m^{4} x^{6} e^{6} + {\left(x e + d\right)}^{m} c^{2} d f m^{5} x^{4} e^{5} + 2 \, {\left(x e + d\right)}^{m} b c d g m^{5} x^{4} e^{5} + 10 \, {\left(x e + d\right)}^{m} c^{2} d g m^{4} x^{5} e^{5} - 5 \, {\left(x e + d\right)}^{m} c^{2} d^{2} g m^{4} x^{4} e^{4} + 2 \, {\left(x e + d\right)}^{m} b c f m^{5} x^{4} e^{6} + {\left(x e + d\right)}^{m} b^{2} g m^{5} x^{4} e^{6} + 2 \, {\left(x e + d\right)}^{m} a c g m^{5} x^{4} e^{6} + 16 \, {\left(x e + d\right)}^{m} c^{2} f m^{4} x^{5} e^{6} + 32 \, {\left(x e + d\right)}^{m} b c g m^{4} x^{5} e^{6} + 85 \, {\left(x e + d\right)}^{m} c^{2} g m^{3} x^{6} e^{6} + 2 \, {\left(x e + d\right)}^{m} b c d f m^{5} x^{3} e^{5} + {\left(x e + d\right)}^{m} b^{2} d g m^{5} x^{3} e^{5} + 2 \, {\left(x e + d\right)}^{m} a c d g m^{5} x^{3} e^{5} + 12 \, {\left(x e + d\right)}^{m} c^{2} d f m^{4} x^{4} e^{5} + 24 \, {\left(x e + d\right)}^{m} b c d g m^{4} x^{4} e^{5} + 35 \, {\left(x e + d\right)}^{m} c^{2} d g m^{3} x^{5} e^{5} - 4 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f m^{4} x^{3} e^{4} - 8 \, {\left(x e + d\right)}^{m} b c d^{2} g m^{4} x^{3} e^{4} - 30 \, {\left(x e + d\right)}^{m} c^{2} d^{2} g m^{3} x^{4} e^{4} + 20 \, {\left(x e + d\right)}^{m} c^{2} d^{3} g m^{3} x^{3} e^{3} + {\left(x e + d\right)}^{m} b^{2} f m^{5} x^{3} e^{6} + 2 \, {\left(x e + d\right)}^{m} a c f m^{5} x^{3} e^{6} + 2 \, {\left(x e + d\right)}^{m} a b g m^{5} x^{3} e^{6} + 34 \, {\left(x e + d\right)}^{m} b c f m^{4} x^{4} e^{6} + 17 \, {\left(x e + d\right)}^{m} b^{2} g m^{4} x^{4} e^{6} + 34 \, {\left(x e + d\right)}^{m} a c g m^{4} x^{4} e^{6} + 95 \, {\left(x e + d\right)}^{m} c^{2} f m^{3} x^{5} e^{6} + 190 \, {\left(x e + d\right)}^{m} b c g m^{3} x^{5} e^{6} + 225 \, {\left(x e + d\right)}^{m} c^{2} g m^{2} x^{6} e^{6} + {\left(x e + d\right)}^{m} b^{2} d f m^{5} x^{2} e^{5} + 2 \, {\left(x e + d\right)}^{m} a c d f m^{5} x^{2} e^{5} + 2 \, {\left(x e + d\right)}^{m} a b d g m^{5} x^{2} e^{5} + 28 \, {\left(x e + d\right)}^{m} b c d f m^{4} x^{3} e^{5} + 14 \, {\left(x e + d\right)}^{m} b^{2} d g m^{4} x^{3} e^{5} + 28 \, {\left(x e + d\right)}^{m} a c d g m^{4} x^{3} e^{5} + 47 \, {\left(x e + d\right)}^{m} c^{2} d f m^{3} x^{4} e^{5} + 94 \, {\left(x e + d\right)}^{m} b c d g m^{3} x^{4} e^{5} + 50 \, {\left(x e + d\right)}^{m} c^{2} d g m^{2} x^{5} e^{5} - 6 \, {\left(x e + d\right)}^{m} b c d^{2} f m^{4} x^{2} e^{4} - 3 \, {\left(x e + d\right)}^{m} b^{2} d^{2} g m^{4} x^{2} e^{4} - 6 \, {\left(x e + d\right)}^{m} a c d^{2} g m^{4} x^{2} e^{4} - 36 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f m^{3} x^{3} e^{4} - 72 \, {\left(x e + d\right)}^{m} b c d^{2} g m^{3} x^{3} e^{4} - 55 \, {\left(x e + d\right)}^{m} c^{2} d^{2} g m^{2} x^{4} e^{4} + 12 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f m^{3} x^{2} e^{3} + 24 \, {\left(x e + d\right)}^{m} b c d^{3} g m^{3} x^{2} e^{3} + 60 \, {\left(x e + d\right)}^{m} c^{2} d^{3} g m^{2} x^{3} e^{3} - 60 \, {\left(x e + d\right)}^{m} c^{2} d^{4} g m^{2} x^{2} e^{2} + 2 \, {\left(x e + d\right)}^{m} a b f m^{5} x^{2} e^{6} + {\left(x e + d\right)}^{m} a^{2} g m^{5} x^{2} e^{6} + 18 \, {\left(x e + d\right)}^{m} b^{2} f m^{4} x^{3} e^{6} + 36 \, {\left(x e + d\right)}^{m} a c f m^{4} x^{3} e^{6} + 36 \, {\left(x e + d\right)}^{m} a b g m^{4} x^{3} e^{6} + 214 \, {\left(x e + d\right)}^{m} b c f m^{3} x^{4} e^{6} + 107 \, {\left(x e + d\right)}^{m} b^{2} g m^{3} x^{4} e^{6} + 214 \, {\left(x e + d\right)}^{m} a c g m^{3} x^{4} e^{6} + 260 \, {\left(x e + d\right)}^{m} c^{2} f m^{2} x^{5} e^{6} + 520 \, {\left(x e + d\right)}^{m} b c g m^{2} x^{5} e^{6} + 274 \, {\left(x e + d\right)}^{m} c^{2} g m x^{6} e^{6} + 2 \, {\left(x e + d\right)}^{m} a b d f m^{5} x e^{5} + {\left(x e + d\right)}^{m} a^{2} d g m^{5} x e^{5} + 16 \, {\left(x e + d\right)}^{m} b^{2} d f m^{4} x^{2} e^{5} + 32 \, {\left(x e + d\right)}^{m} a c d f m^{4} x^{2} e^{5} + 32 \, {\left(x e + d\right)}^{m} a b d g m^{4} x^{2} e^{5} + 130 \, {\left(x e + d\right)}^{m} b c d f m^{3} x^{3} e^{5} + 65 \, {\left(x e + d\right)}^{m} b^{2} d g m^{3} x^{3} e^{5} + 130 \, {\left(x e + d\right)}^{m} a c d g m^{3} x^{3} e^{5} + 72 \, {\left(x e + d\right)}^{m} c^{2} d f m^{2} x^{4} e^{5} + 144 \, {\left(x e + d\right)}^{m} b c d g m^{2} x^{4} e^{5} + 24 \, {\left(x e + d\right)}^{m} c^{2} d g m x^{5} e^{5} - 2 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f m^{4} x e^{4} - 4 \, {\left(x e + d\right)}^{m} a c d^{2} f m^{4} x e^{4} - 4 \, {\left(x e + d\right)}^{m} a b d^{2} g m^{4} x e^{4} - 72 \, {\left(x e + d\right)}^{m} b c d^{2} f m^{3} x^{2} e^{4} - 36 \, {\left(x e + d\right)}^{m} b^{2} d^{2} g m^{3} x^{2} e^{4} - 72 \, {\left(x e + d\right)}^{m} a c d^{2} g m^{3} x^{2} e^{4} - 80 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f m^{2} x^{3} e^{4} - 160 \, {\left(x e + d\right)}^{m} b c d^{2} g m^{2} x^{3} e^{4} - 30 \, {\left(x e + d\right)}^{m} c^{2} d^{2} g m x^{4} e^{4} + 12 \, {\left(x e + d\right)}^{m} b c d^{3} f m^{3} x e^{3} + 6 \, {\left(x e + d\right)}^{m} b^{2} d^{3} g m^{3} x e^{3} + 12 \, {\left(x e + d\right)}^{m} a c d^{3} g m^{3} x e^{3} + 84 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f m^{2} x^{2} e^{3} + 168 \, {\left(x e + d\right)}^{m} b c d^{3} g m^{2} x^{2} e^{3} + 40 \, {\left(x e + d\right)}^{m} c^{2} d^{3} g m x^{3} e^{3} - 24 \, {\left(x e + d\right)}^{m} c^{2} d^{4} f m^{2} x e^{2} - 48 \, {\left(x e + d\right)}^{m} b c d^{4} g m^{2} x e^{2} - 60 \, {\left(x e + d\right)}^{m} c^{2} d^{4} g m x^{2} e^{2} + 120 \, {\left(x e + d\right)}^{m} c^{2} d^{5} g m x e + {\left(x e + d\right)}^{m} a^{2} f m^{5} x e^{6} + 38 \, {\left(x e + d\right)}^{m} a b f m^{4} x^{2} e^{6} + 19 \, {\left(x e + d\right)}^{m} a^{2} g m^{4} x^{2} e^{6} + 121 \, {\left(x e + d\right)}^{m} b^{2} f m^{3} x^{3} e^{6} + 242 \, {\left(x e + d\right)}^{m} a c f m^{3} x^{3} e^{6} + 242 \, {\left(x e + d\right)}^{m} a b g m^{3} x^{3} e^{6} + 614 \, {\left(x e + d\right)}^{m} b c f m^{2} x^{4} e^{6} + 307 \, {\left(x e + d\right)}^{m} b^{2} g m^{2} x^{4} e^{6} + 614 \, {\left(x e + d\right)}^{m} a c g m^{2} x^{4} e^{6} + 324 \, {\left(x e + d\right)}^{m} c^{2} f m x^{5} e^{6} + 648 \, {\left(x e + d\right)}^{m} b c g m x^{5} e^{6} + 120 \, {\left(x e + d\right)}^{m} c^{2} g x^{6} e^{6} + {\left(x e + d\right)}^{m} a^{2} d f m^{5} e^{5} + 36 \, {\left(x e + d\right)}^{m} a b d f m^{4} x e^{5} + 18 \, {\left(x e + d\right)}^{m} a^{2} d g m^{4} x e^{5} + 89 \, {\left(x e + d\right)}^{m} b^{2} d f m^{3} x^{2} e^{5} + 178 \, {\left(x e + d\right)}^{m} a c d f m^{3} x^{2} e^{5} + 178 \, {\left(x e + d\right)}^{m} a b d g m^{3} x^{2} e^{5} + 224 \, {\left(x e + d\right)}^{m} b c d f m^{2} x^{3} e^{5} + 112 \, {\left(x e + d\right)}^{m} b^{2} d g m^{2} x^{3} e^{5} + 224 \, {\left(x e + d\right)}^{m} a c d g m^{2} x^{3} e^{5} + 36 \, {\left(x e + d\right)}^{m} c^{2} d f m x^{4} e^{5} + 72 \, {\left(x e + d\right)}^{m} b c d g m x^{4} e^{5} - 2 \, {\left(x e + d\right)}^{m} a b d^{2} f m^{4} e^{4} - {\left(x e + d\right)}^{m} a^{2} d^{2} g m^{4} e^{4} - 30 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f m^{3} x e^{4} - 60 \, {\left(x e + d\right)}^{m} a c d^{2} f m^{3} x e^{4} - 60 \, {\left(x e + d\right)}^{m} a b d^{2} g m^{3} x e^{4} - 246 \, {\left(x e + d\right)}^{m} b c d^{2} f m^{2} x^{2} e^{4} - 123 \, {\left(x e + d\right)}^{m} b^{2} d^{2} g m^{2} x^{2} e^{4} - 246 \, {\left(x e + d\right)}^{m} a c d^{2} g m^{2} x^{2} e^{4} - 48 \, {\left(x e + d\right)}^{m} c^{2} d^{2} f m x^{3} e^{4} - 96 \, {\left(x e + d\right)}^{m} b c d^{2} g m x^{3} e^{4} + 2 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f m^{3} e^{3} + 4 \, {\left(x e + d\right)}^{m} a c d^{3} f m^{3} e^{3} + 4 \, {\left(x e + d\right)}^{m} a b d^{3} g m^{3} e^{3} + 132 \, {\left(x e + d\right)}^{m} b c d^{3} f m^{2} x e^{3} + 66 \, {\left(x e + d\right)}^{m} b^{2} d^{3} g m^{2} x e^{3} + 132 \, {\left(x e + d\right)}^{m} a c d^{3} g m^{2} x e^{3} + 72 \, {\left(x e + d\right)}^{m} c^{2} d^{3} f m x^{2} e^{3} + 144 \, {\left(x e + d\right)}^{m} b c d^{3} g m x^{2} e^{3} - 12 \, {\left(x e + d\right)}^{m} b c d^{4} f m^{2} e^{2} - 6 \, {\left(x e + d\right)}^{m} b^{2} d^{4} g m^{2} e^{2} - 12 \, {\left(x e + d\right)}^{m} a c d^{4} g m^{2} e^{2} - 144 \, {\left(x e + d\right)}^{m} c^{2} d^{4} f m x e^{2} - 288 \, {\left(x e + d\right)}^{m} b c d^{4} g m x e^{2} + 24 \, {\left(x e + d\right)}^{m} c^{2} d^{5} f m e + 48 \, {\left(x e + d\right)}^{m} b c d^{5} g m e - 120 \, {\left(x e + d\right)}^{m} c^{2} d^{6} g + 20 \, {\left(x e + d\right)}^{m} a^{2} f m^{4} x e^{6} + 274 \, {\left(x e + d\right)}^{m} a b f m^{3} x^{2} e^{6} + 137 \, {\left(x e + d\right)}^{m} a^{2} g m^{3} x^{2} e^{6} + 372 \, {\left(x e + d\right)}^{m} b^{2} f m^{2} x^{3} e^{6} + 744 \, {\left(x e + d\right)}^{m} a c f m^{2} x^{3} e^{6} + 744 \, {\left(x e + d\right)}^{m} a b g m^{2} x^{3} e^{6} + 792 \, {\left(x e + d\right)}^{m} b c f m x^{4} e^{6} + 396 \, {\left(x e + d\right)}^{m} b^{2} g m x^{4} e^{6} + 792 \, {\left(x e + d\right)}^{m} a c g m x^{4} e^{6} + 144 \, {\left(x e + d\right)}^{m} c^{2} f x^{5} e^{6} + 288 \, {\left(x e + d\right)}^{m} b c g x^{5} e^{6} + 20 \, {\left(x e + d\right)}^{m} a^{2} d f m^{4} e^{5} + 238 \, {\left(x e + d\right)}^{m} a b d f m^{3} x e^{5} + 119 \, {\left(x e + d\right)}^{m} a^{2} d g m^{3} x e^{5} + 194 \, {\left(x e + d\right)}^{m} b^{2} d f m^{2} x^{2} e^{5} + 388 \, {\left(x e + d\right)}^{m} a c d f m^{2} x^{2} e^{5} + 388 \, {\left(x e + d\right)}^{m} a b d g m^{2} x^{2} e^{5} + 120 \, {\left(x e + d\right)}^{m} b c d f m x^{3} e^{5} + 60 \, {\left(x e + d\right)}^{m} b^{2} d g m x^{3} e^{5} + 120 \, {\left(x e + d\right)}^{m} a c d g m x^{3} e^{5} - 36 \, {\left(x e + d\right)}^{m} a b d^{2} f m^{3} e^{4} - 18 \, {\left(x e + d\right)}^{m} a^{2} d^{2} g m^{3} e^{4} - 148 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f m^{2} x e^{4} - 296 \, {\left(x e + d\right)}^{m} a c d^{2} f m^{2} x e^{4} - 296 \, {\left(x e + d\right)}^{m} a b d^{2} g m^{2} x e^{4} - 180 \, {\left(x e + d\right)}^{m} b c d^{2} f m x^{2} e^{4} - 90 \, {\left(x e + d\right)}^{m} b^{2} d^{2} g m x^{2} e^{4} - 180 \, {\left(x e + d\right)}^{m} a c d^{2} g m x^{2} e^{4} + 30 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f m^{2} e^{3} + 60 \, {\left(x e + d\right)}^{m} a c d^{3} f m^{2} e^{3} + 60 \, {\left(x e + d\right)}^{m} a b d^{3} g m^{2} e^{3} + 360 \, {\left(x e + d\right)}^{m} b c d^{3} f m x e^{3} + 180 \, {\left(x e + d\right)}^{m} b^{2} d^{3} g m x e^{3} + 360 \, {\left(x e + d\right)}^{m} a c d^{3} g m x e^{3} - 132 \, {\left(x e + d\right)}^{m} b c d^{4} f m e^{2} - 66 \, {\left(x e + d\right)}^{m} b^{2} d^{4} g m e^{2} - 132 \, {\left(x e + d\right)}^{m} a c d^{4} g m e^{2} + 144 \, {\left(x e + d\right)}^{m} c^{2} d^{5} f e + 288 \, {\left(x e + d\right)}^{m} b c d^{5} g e + 155 \, {\left(x e + d\right)}^{m} a^{2} f m^{3} x e^{6} + 922 \, {\left(x e + d\right)}^{m} a b f m^{2} x^{2} e^{6} + 461 \, {\left(x e + d\right)}^{m} a^{2} g m^{2} x^{2} e^{6} + 508 \, {\left(x e + d\right)}^{m} b^{2} f m x^{3} e^{6} + 1016 \, {\left(x e + d\right)}^{m} a c f m x^{3} e^{6} + 1016 \, {\left(x e + d\right)}^{m} a b g m x^{3} e^{6} + 360 \, {\left(x e + d\right)}^{m} b c f x^{4} e^{6} + 180 \, {\left(x e + d\right)}^{m} b^{2} g x^{4} e^{6} + 360 \, {\left(x e + d\right)}^{m} a c g x^{4} e^{6} + 155 \, {\left(x e + d\right)}^{m} a^{2} d f m^{3} e^{5} + 684 \, {\left(x e + d\right)}^{m} a b d f m^{2} x e^{5} + 342 \, {\left(x e + d\right)}^{m} a^{2} d g m^{2} x e^{5} + 120 \, {\left(x e + d\right)}^{m} b^{2} d f m x^{2} e^{5} + 240 \, {\left(x e + d\right)}^{m} a c d f m x^{2} e^{5} + 240 \, {\left(x e + d\right)}^{m} a b d g m x^{2} e^{5} - 238 \, {\left(x e + d\right)}^{m} a b d^{2} f m^{2} e^{4} - 119 \, {\left(x e + d\right)}^{m} a^{2} d^{2} g m^{2} e^{4} - 240 \, {\left(x e + d\right)}^{m} b^{2} d^{2} f m x e^{4} - 480 \, {\left(x e + d\right)}^{m} a c d^{2} f m x e^{4} - 480 \, {\left(x e + d\right)}^{m} a b d^{2} g m x e^{4} + 148 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f m e^{3} + 296 \, {\left(x e + d\right)}^{m} a c d^{3} f m e^{3} + 296 \, {\left(x e + d\right)}^{m} a b d^{3} g m e^{3} - 360 \, {\left(x e + d\right)}^{m} b c d^{4} f e^{2} - 180 \, {\left(x e + d\right)}^{m} b^{2} d^{4} g e^{2} - 360 \, {\left(x e + d\right)}^{m} a c d^{4} g e^{2} + 580 \, {\left(x e + d\right)}^{m} a^{2} f m^{2} x e^{6} + 1404 \, {\left(x e + d\right)}^{m} a b f m x^{2} e^{6} + 702 \, {\left(x e + d\right)}^{m} a^{2} g m x^{2} e^{6} + 240 \, {\left(x e + d\right)}^{m} b^{2} f x^{3} e^{6} + 480 \, {\left(x e + d\right)}^{m} a c f x^{3} e^{6} + 480 \, {\left(x e + d\right)}^{m} a b g x^{3} e^{6} + 580 \, {\left(x e + d\right)}^{m} a^{2} d f m^{2} e^{5} + 720 \, {\left(x e + d\right)}^{m} a b d f m x e^{5} + 360 \, {\left(x e + d\right)}^{m} a^{2} d g m x e^{5} - 684 \, {\left(x e + d\right)}^{m} a b d^{2} f m e^{4} - 342 \, {\left(x e + d\right)}^{m} a^{2} d^{2} g m e^{4} + 240 \, {\left(x e + d\right)}^{m} b^{2} d^{3} f e^{3} + 480 \, {\left(x e + d\right)}^{m} a c d^{3} f e^{3} + 480 \, {\left(x e + d\right)}^{m} a b d^{3} g e^{3} + 1044 \, {\left(x e + d\right)}^{m} a^{2} f m x e^{6} + 720 \, {\left(x e + d\right)}^{m} a b f x^{2} e^{6} + 360 \, {\left(x e + d\right)}^{m} a^{2} g x^{2} e^{6} + 1044 \, {\left(x e + d\right)}^{m} a^{2} d f m e^{5} - 720 \, {\left(x e + d\right)}^{m} a b d^{2} f e^{4} - 360 \, {\left(x e + d\right)}^{m} a^{2} d^{2} g e^{4} + 720 \, {\left(x e + d\right)}^{m} a^{2} f x e^{6} + 720 \, {\left(x e + d\right)}^{m} a^{2} d f e^{5}}{m^{6} e^{6} + 21 \, m^{5} e^{6} + 175 \, m^{4} e^{6} + 735 \, m^{3} e^{6} + 1624 \, m^{2} e^{6} + 1764 \, m e^{6} + 720 \, e^{6}}"," ",0,"((x*e + d)^m*c^2*g*m^5*x^6*e^6 + (x*e + d)^m*c^2*d*g*m^5*x^5*e^5 + (x*e + d)^m*c^2*f*m^5*x^5*e^6 + 2*(x*e + d)^m*b*c*g*m^5*x^5*e^6 + 15*(x*e + d)^m*c^2*g*m^4*x^6*e^6 + (x*e + d)^m*c^2*d*f*m^5*x^4*e^5 + 2*(x*e + d)^m*b*c*d*g*m^5*x^4*e^5 + 10*(x*e + d)^m*c^2*d*g*m^4*x^5*e^5 - 5*(x*e + d)^m*c^2*d^2*g*m^4*x^4*e^4 + 2*(x*e + d)^m*b*c*f*m^5*x^4*e^6 + (x*e + d)^m*b^2*g*m^5*x^4*e^6 + 2*(x*e + d)^m*a*c*g*m^5*x^4*e^6 + 16*(x*e + d)^m*c^2*f*m^4*x^5*e^6 + 32*(x*e + d)^m*b*c*g*m^4*x^5*e^6 + 85*(x*e + d)^m*c^2*g*m^3*x^6*e^6 + 2*(x*e + d)^m*b*c*d*f*m^5*x^3*e^5 + (x*e + d)^m*b^2*d*g*m^5*x^3*e^5 + 2*(x*e + d)^m*a*c*d*g*m^5*x^3*e^5 + 12*(x*e + d)^m*c^2*d*f*m^4*x^4*e^5 + 24*(x*e + d)^m*b*c*d*g*m^4*x^4*e^5 + 35*(x*e + d)^m*c^2*d*g*m^3*x^5*e^5 - 4*(x*e + d)^m*c^2*d^2*f*m^4*x^3*e^4 - 8*(x*e + d)^m*b*c*d^2*g*m^4*x^3*e^4 - 30*(x*e + d)^m*c^2*d^2*g*m^3*x^4*e^4 + 20*(x*e + d)^m*c^2*d^3*g*m^3*x^3*e^3 + (x*e + d)^m*b^2*f*m^5*x^3*e^6 + 2*(x*e + d)^m*a*c*f*m^5*x^3*e^6 + 2*(x*e + d)^m*a*b*g*m^5*x^3*e^6 + 34*(x*e + d)^m*b*c*f*m^4*x^4*e^6 + 17*(x*e + d)^m*b^2*g*m^4*x^4*e^6 + 34*(x*e + d)^m*a*c*g*m^4*x^4*e^6 + 95*(x*e + d)^m*c^2*f*m^3*x^5*e^6 + 190*(x*e + d)^m*b*c*g*m^3*x^5*e^6 + 225*(x*e + d)^m*c^2*g*m^2*x^6*e^6 + (x*e + d)^m*b^2*d*f*m^5*x^2*e^5 + 2*(x*e + d)^m*a*c*d*f*m^5*x^2*e^5 + 2*(x*e + d)^m*a*b*d*g*m^5*x^2*e^5 + 28*(x*e + d)^m*b*c*d*f*m^4*x^3*e^5 + 14*(x*e + d)^m*b^2*d*g*m^4*x^3*e^5 + 28*(x*e + d)^m*a*c*d*g*m^4*x^3*e^5 + 47*(x*e + d)^m*c^2*d*f*m^3*x^4*e^5 + 94*(x*e + d)^m*b*c*d*g*m^3*x^4*e^5 + 50*(x*e + d)^m*c^2*d*g*m^2*x^5*e^5 - 6*(x*e + d)^m*b*c*d^2*f*m^4*x^2*e^4 - 3*(x*e + d)^m*b^2*d^2*g*m^4*x^2*e^4 - 6*(x*e + d)^m*a*c*d^2*g*m^4*x^2*e^4 - 36*(x*e + d)^m*c^2*d^2*f*m^3*x^3*e^4 - 72*(x*e + d)^m*b*c*d^2*g*m^3*x^3*e^4 - 55*(x*e + d)^m*c^2*d^2*g*m^2*x^4*e^4 + 12*(x*e + d)^m*c^2*d^3*f*m^3*x^2*e^3 + 24*(x*e + d)^m*b*c*d^3*g*m^3*x^2*e^3 + 60*(x*e + d)^m*c^2*d^3*g*m^2*x^3*e^3 - 60*(x*e + d)^m*c^2*d^4*g*m^2*x^2*e^2 + 2*(x*e + d)^m*a*b*f*m^5*x^2*e^6 + (x*e + d)^m*a^2*g*m^5*x^2*e^6 + 18*(x*e + d)^m*b^2*f*m^4*x^3*e^6 + 36*(x*e + d)^m*a*c*f*m^4*x^3*e^6 + 36*(x*e + d)^m*a*b*g*m^4*x^3*e^6 + 214*(x*e + d)^m*b*c*f*m^3*x^4*e^6 + 107*(x*e + d)^m*b^2*g*m^3*x^4*e^6 + 214*(x*e + d)^m*a*c*g*m^3*x^4*e^6 + 260*(x*e + d)^m*c^2*f*m^2*x^5*e^6 + 520*(x*e + d)^m*b*c*g*m^2*x^5*e^6 + 274*(x*e + d)^m*c^2*g*m*x^6*e^6 + 2*(x*e + d)^m*a*b*d*f*m^5*x*e^5 + (x*e + d)^m*a^2*d*g*m^5*x*e^5 + 16*(x*e + d)^m*b^2*d*f*m^4*x^2*e^5 + 32*(x*e + d)^m*a*c*d*f*m^4*x^2*e^5 + 32*(x*e + d)^m*a*b*d*g*m^4*x^2*e^5 + 130*(x*e + d)^m*b*c*d*f*m^3*x^3*e^5 + 65*(x*e + d)^m*b^2*d*g*m^3*x^3*e^5 + 130*(x*e + d)^m*a*c*d*g*m^3*x^3*e^5 + 72*(x*e + d)^m*c^2*d*f*m^2*x^4*e^5 + 144*(x*e + d)^m*b*c*d*g*m^2*x^4*e^5 + 24*(x*e + d)^m*c^2*d*g*m*x^5*e^5 - 2*(x*e + d)^m*b^2*d^2*f*m^4*x*e^4 - 4*(x*e + d)^m*a*c*d^2*f*m^4*x*e^4 - 4*(x*e + d)^m*a*b*d^2*g*m^4*x*e^4 - 72*(x*e + d)^m*b*c*d^2*f*m^3*x^2*e^4 - 36*(x*e + d)^m*b^2*d^2*g*m^3*x^2*e^4 - 72*(x*e + d)^m*a*c*d^2*g*m^3*x^2*e^4 - 80*(x*e + d)^m*c^2*d^2*f*m^2*x^3*e^4 - 160*(x*e + d)^m*b*c*d^2*g*m^2*x^3*e^4 - 30*(x*e + d)^m*c^2*d^2*g*m*x^4*e^4 + 12*(x*e + d)^m*b*c*d^3*f*m^3*x*e^3 + 6*(x*e + d)^m*b^2*d^3*g*m^3*x*e^3 + 12*(x*e + d)^m*a*c*d^3*g*m^3*x*e^3 + 84*(x*e + d)^m*c^2*d^3*f*m^2*x^2*e^3 + 168*(x*e + d)^m*b*c*d^3*g*m^2*x^2*e^3 + 40*(x*e + d)^m*c^2*d^3*g*m*x^3*e^3 - 24*(x*e + d)^m*c^2*d^4*f*m^2*x*e^2 - 48*(x*e + d)^m*b*c*d^4*g*m^2*x*e^2 - 60*(x*e + d)^m*c^2*d^4*g*m*x^2*e^2 + 120*(x*e + d)^m*c^2*d^5*g*m*x*e + (x*e + d)^m*a^2*f*m^5*x*e^6 + 38*(x*e + d)^m*a*b*f*m^4*x^2*e^6 + 19*(x*e + d)^m*a^2*g*m^4*x^2*e^6 + 121*(x*e + d)^m*b^2*f*m^3*x^3*e^6 + 242*(x*e + d)^m*a*c*f*m^3*x^3*e^6 + 242*(x*e + d)^m*a*b*g*m^3*x^3*e^6 + 614*(x*e + d)^m*b*c*f*m^2*x^4*e^6 + 307*(x*e + d)^m*b^2*g*m^2*x^4*e^6 + 614*(x*e + d)^m*a*c*g*m^2*x^4*e^6 + 324*(x*e + d)^m*c^2*f*m*x^5*e^6 + 648*(x*e + d)^m*b*c*g*m*x^5*e^6 + 120*(x*e + d)^m*c^2*g*x^6*e^6 + (x*e + d)^m*a^2*d*f*m^5*e^5 + 36*(x*e + d)^m*a*b*d*f*m^4*x*e^5 + 18*(x*e + d)^m*a^2*d*g*m^4*x*e^5 + 89*(x*e + d)^m*b^2*d*f*m^3*x^2*e^5 + 178*(x*e + d)^m*a*c*d*f*m^3*x^2*e^5 + 178*(x*e + d)^m*a*b*d*g*m^3*x^2*e^5 + 224*(x*e + d)^m*b*c*d*f*m^2*x^3*e^5 + 112*(x*e + d)^m*b^2*d*g*m^2*x^3*e^5 + 224*(x*e + d)^m*a*c*d*g*m^2*x^3*e^5 + 36*(x*e + d)^m*c^2*d*f*m*x^4*e^5 + 72*(x*e + d)^m*b*c*d*g*m*x^4*e^5 - 2*(x*e + d)^m*a*b*d^2*f*m^4*e^4 - (x*e + d)^m*a^2*d^2*g*m^4*e^4 - 30*(x*e + d)^m*b^2*d^2*f*m^3*x*e^4 - 60*(x*e + d)^m*a*c*d^2*f*m^3*x*e^4 - 60*(x*e + d)^m*a*b*d^2*g*m^3*x*e^4 - 246*(x*e + d)^m*b*c*d^2*f*m^2*x^2*e^4 - 123*(x*e + d)^m*b^2*d^2*g*m^2*x^2*e^4 - 246*(x*e + d)^m*a*c*d^2*g*m^2*x^2*e^4 - 48*(x*e + d)^m*c^2*d^2*f*m*x^3*e^4 - 96*(x*e + d)^m*b*c*d^2*g*m*x^3*e^4 + 2*(x*e + d)^m*b^2*d^3*f*m^3*e^3 + 4*(x*e + d)^m*a*c*d^3*f*m^3*e^3 + 4*(x*e + d)^m*a*b*d^3*g*m^3*e^3 + 132*(x*e + d)^m*b*c*d^3*f*m^2*x*e^3 + 66*(x*e + d)^m*b^2*d^3*g*m^2*x*e^3 + 132*(x*e + d)^m*a*c*d^3*g*m^2*x*e^3 + 72*(x*e + d)^m*c^2*d^3*f*m*x^2*e^3 + 144*(x*e + d)^m*b*c*d^3*g*m*x^2*e^3 - 12*(x*e + d)^m*b*c*d^4*f*m^2*e^2 - 6*(x*e + d)^m*b^2*d^4*g*m^2*e^2 - 12*(x*e + d)^m*a*c*d^4*g*m^2*e^2 - 144*(x*e + d)^m*c^2*d^4*f*m*x*e^2 - 288*(x*e + d)^m*b*c*d^4*g*m*x*e^2 + 24*(x*e + d)^m*c^2*d^5*f*m*e + 48*(x*e + d)^m*b*c*d^5*g*m*e - 120*(x*e + d)^m*c^2*d^6*g + 20*(x*e + d)^m*a^2*f*m^4*x*e^6 + 274*(x*e + d)^m*a*b*f*m^3*x^2*e^6 + 137*(x*e + d)^m*a^2*g*m^3*x^2*e^6 + 372*(x*e + d)^m*b^2*f*m^2*x^3*e^6 + 744*(x*e + d)^m*a*c*f*m^2*x^3*e^6 + 744*(x*e + d)^m*a*b*g*m^2*x^3*e^6 + 792*(x*e + d)^m*b*c*f*m*x^4*e^6 + 396*(x*e + d)^m*b^2*g*m*x^4*e^6 + 792*(x*e + d)^m*a*c*g*m*x^4*e^6 + 144*(x*e + d)^m*c^2*f*x^5*e^6 + 288*(x*e + d)^m*b*c*g*x^5*e^6 + 20*(x*e + d)^m*a^2*d*f*m^4*e^5 + 238*(x*e + d)^m*a*b*d*f*m^3*x*e^5 + 119*(x*e + d)^m*a^2*d*g*m^3*x*e^5 + 194*(x*e + d)^m*b^2*d*f*m^2*x^2*e^5 + 388*(x*e + d)^m*a*c*d*f*m^2*x^2*e^5 + 388*(x*e + d)^m*a*b*d*g*m^2*x^2*e^5 + 120*(x*e + d)^m*b*c*d*f*m*x^3*e^5 + 60*(x*e + d)^m*b^2*d*g*m*x^3*e^5 + 120*(x*e + d)^m*a*c*d*g*m*x^3*e^5 - 36*(x*e + d)^m*a*b*d^2*f*m^3*e^4 - 18*(x*e + d)^m*a^2*d^2*g*m^3*e^4 - 148*(x*e + d)^m*b^2*d^2*f*m^2*x*e^4 - 296*(x*e + d)^m*a*c*d^2*f*m^2*x*e^4 - 296*(x*e + d)^m*a*b*d^2*g*m^2*x*e^4 - 180*(x*e + d)^m*b*c*d^2*f*m*x^2*e^4 - 90*(x*e + d)^m*b^2*d^2*g*m*x^2*e^4 - 180*(x*e + d)^m*a*c*d^2*g*m*x^2*e^4 + 30*(x*e + d)^m*b^2*d^3*f*m^2*e^3 + 60*(x*e + d)^m*a*c*d^3*f*m^2*e^3 + 60*(x*e + d)^m*a*b*d^3*g*m^2*e^3 + 360*(x*e + d)^m*b*c*d^3*f*m*x*e^3 + 180*(x*e + d)^m*b^2*d^3*g*m*x*e^3 + 360*(x*e + d)^m*a*c*d^3*g*m*x*e^3 - 132*(x*e + d)^m*b*c*d^4*f*m*e^2 - 66*(x*e + d)^m*b^2*d^4*g*m*e^2 - 132*(x*e + d)^m*a*c*d^4*g*m*e^2 + 144*(x*e + d)^m*c^2*d^5*f*e + 288*(x*e + d)^m*b*c*d^5*g*e + 155*(x*e + d)^m*a^2*f*m^3*x*e^6 + 922*(x*e + d)^m*a*b*f*m^2*x^2*e^6 + 461*(x*e + d)^m*a^2*g*m^2*x^2*e^6 + 508*(x*e + d)^m*b^2*f*m*x^3*e^6 + 1016*(x*e + d)^m*a*c*f*m*x^3*e^6 + 1016*(x*e + d)^m*a*b*g*m*x^3*e^6 + 360*(x*e + d)^m*b*c*f*x^4*e^6 + 180*(x*e + d)^m*b^2*g*x^4*e^6 + 360*(x*e + d)^m*a*c*g*x^4*e^6 + 155*(x*e + d)^m*a^2*d*f*m^3*e^5 + 684*(x*e + d)^m*a*b*d*f*m^2*x*e^5 + 342*(x*e + d)^m*a^2*d*g*m^2*x*e^5 + 120*(x*e + d)^m*b^2*d*f*m*x^2*e^5 + 240*(x*e + d)^m*a*c*d*f*m*x^2*e^5 + 240*(x*e + d)^m*a*b*d*g*m*x^2*e^5 - 238*(x*e + d)^m*a*b*d^2*f*m^2*e^4 - 119*(x*e + d)^m*a^2*d^2*g*m^2*e^4 - 240*(x*e + d)^m*b^2*d^2*f*m*x*e^4 - 480*(x*e + d)^m*a*c*d^2*f*m*x*e^4 - 480*(x*e + d)^m*a*b*d^2*g*m*x*e^4 + 148*(x*e + d)^m*b^2*d^3*f*m*e^3 + 296*(x*e + d)^m*a*c*d^3*f*m*e^3 + 296*(x*e + d)^m*a*b*d^3*g*m*e^3 - 360*(x*e + d)^m*b*c*d^4*f*e^2 - 180*(x*e + d)^m*b^2*d^4*g*e^2 - 360*(x*e + d)^m*a*c*d^4*g*e^2 + 580*(x*e + d)^m*a^2*f*m^2*x*e^6 + 1404*(x*e + d)^m*a*b*f*m*x^2*e^6 + 702*(x*e + d)^m*a^2*g*m*x^2*e^6 + 240*(x*e + d)^m*b^2*f*x^3*e^6 + 480*(x*e + d)^m*a*c*f*x^3*e^6 + 480*(x*e + d)^m*a*b*g*x^3*e^6 + 580*(x*e + d)^m*a^2*d*f*m^2*e^5 + 720*(x*e + d)^m*a*b*d*f*m*x*e^5 + 360*(x*e + d)^m*a^2*d*g*m*x*e^5 - 684*(x*e + d)^m*a*b*d^2*f*m*e^4 - 342*(x*e + d)^m*a^2*d^2*g*m*e^4 + 240*(x*e + d)^m*b^2*d^3*f*e^3 + 480*(x*e + d)^m*a*c*d^3*f*e^3 + 480*(x*e + d)^m*a*b*d^3*g*e^3 + 1044*(x*e + d)^m*a^2*f*m*x*e^6 + 720*(x*e + d)^m*a*b*f*x^2*e^6 + 360*(x*e + d)^m*a^2*g*x^2*e^6 + 1044*(x*e + d)^m*a^2*d*f*m*e^5 - 720*(x*e + d)^m*a*b*d^2*f*e^4 - 360*(x*e + d)^m*a^2*d^2*g*e^4 + 720*(x*e + d)^m*a^2*f*x*e^6 + 720*(x*e + d)^m*a^2*d*f*e^5)/(m^6*e^6 + 21*m^5*e^6 + 175*m^4*e^6 + 735*m^3*e^6 + 1624*m^2*e^6 + 1764*m*e^6 + 720*e^6)","B",0
927,0,0,0,0.000000," ","integrate((e*x+d)^m*(c*x^2+b*x+a)^2/(g*x+f),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
