1,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^3/(c*x^4+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{3}}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^3/sqrt(c*x^4 + a), x)","F",0
2,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^2/(c*x^4+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{2}}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^2/sqrt(c*x^4 + a), x)","F",0
3,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)/(c*x^4+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)/sqrt(c*x^4 + a), x)","F",0
4,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+a)^(1/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)/sqrt(c*x^4 + a), x)","F",0
5,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)/(c*x^4+a)^(1/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + a)*(e*x^2 + d)), x)","F",0
6,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)^2/(c*x^4+a)^(1/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + a} {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + a)*(e*x^2 + d)^2), x)","F",0
7,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)^3/(c*x^4+a)^(1/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + a} {\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + a)*(e*x^2 + d)^3), x)","F",0
8,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^3/(c*x^4+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{3}}{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^3/(c*x^4 + a)^(3/2), x)","F",0
9,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^2/(c*x^4+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{2}}{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^2/(c*x^4 + a)^(3/2), x)","F",0
10,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)/(c*x^4+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}}{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)/(c*x^4 + a)^(3/2), x)","F",0
11,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+a)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(c*x^4 + a)^(3/2), x)","F",0
12,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)/(c*x^4+a)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + a)^(3/2)*(e*x^2 + d)), x)","F",0
13,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)^2/(c*x^4+a)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + a)^(3/2)*(e*x^2 + d)^2), x)","F",0
14,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)^3/(c*x^4+a)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + a)^(3/2)*(e*x^2 + d)^3), x)","F",0
15,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^q/(c*x^4+a),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{q}}{c x^{4} + a}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^q/(c*x^4 + a), x)","F",0
16,0,0,0,0.000000," ","integrate((x^2+2)/(x^2+1)/(x^4+3*x^2+2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2} + 2}{\sqrt{x^{4} + 3 \, x^{2} + 2} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 2)/(sqrt(x^4 + 3*x^2 + 2)*(x^2 + 1)), x)","F",0
17,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^3/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{3}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^3/sqrt(c*x^4 + b*x^2 + a), x)","F",0
18,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^2/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{2}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^2/sqrt(c*x^4 + b*x^2 + a), x)","F",0
19,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)/sqrt(c*x^4 + b*x^2 + a), x)","F",0
20,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)/sqrt(c*x^4 + b*x^2 + a), x)","F",0
21,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)), x)","F",0
22,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)^2/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)^2), x)","F",0
23,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)^3/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)^3), x)","F",0
24,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^3/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{3}}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^3/(c*x^4 + b*x^2 + a)^(3/2), x)","F",0
25,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^2/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{2}}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^2/(c*x^4 + b*x^2 + a)^(3/2), x)","F",0
26,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)/(c*x^4 + b*x^2 + a)^(3/2), x)","F",0
27,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(c*x^4 + b*x^2 + a)^(3/2), x)","F",0
28,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)), x)","F",0
29,0,0,0,0.000000," ","integrate((B*x^2+A)/(e*x^2+d)^2/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)^2), x)","F",0
30,-1,0,0,0.000000," ","integrate((a^(1/2)+x^2*c^(1/2))/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,0,0,0,0.000000," ","integrate((1+x^2*(c/a)^(1/2))/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2} \sqrt{\frac{c}{a}} + 1}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate((x^2*sqrt(c/a) + 1)/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)), x)","F",0
32,0,0,0,0.000000," ","integrate((315*x^2+946)/(5*x^2+7)/(x^4+3*x^2+2)^(1/2),x, algorithm=""giac"")","\int \frac{315 \, x^{2} + 946}{\sqrt{x^{4} + 3 \, x^{2} + 2} {\left(5 \, x^{2} + 7\right)}}\,{d x}"," ",0,"integrate((315*x^2 + 946)/(sqrt(x^4 + 3*x^2 + 2)*(5*x^2 + 7)), x)","F",0
33,0,0,0,0.000000," ","integrate((B*x^2+A)*(e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(e x^{2} + d\right)}^{q}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x^2 + d)^q/(c*x^4 + b*x^2 + a), x)","F",0
34,1,80,0,0.652081," ","integrate(x*(2*x^2+1)/(x^4+x^2+1)/(x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{3} \log\left(x^{2} + \sqrt{3} \sqrt{x^{2} + 1} + 2\right) + \frac{1}{4} \, \sqrt{3} \log\left(x^{2} - \sqrt{3} \sqrt{x^{2} + 1} + 2\right) + \frac{1}{2} \, \arctan\left(\sqrt{3} + 2 \, \sqrt{x^{2} + 1}\right) + \frac{1}{2} \, \arctan\left(-\sqrt{3} + 2 \, \sqrt{x^{2} + 1}\right)"," ",0,"-1/4*sqrt(3)*log(x^2 + sqrt(3)*sqrt(x^2 + 1) + 2) + 1/4*sqrt(3)*log(x^2 - sqrt(3)*sqrt(x^2 + 1) + 2) + 1/2*arctan(sqrt(3) + 2*sqrt(x^2 + 1)) + 1/2*arctan(-sqrt(3) + 2*sqrt(x^2 + 1))","A",0
35,0,0,0,0.000000," ","integrate((c*x^4+b*x^2+a)^(1/2)/(-c*d*x^4+a*d),x, algorithm=""giac"")","\int -\frac{\sqrt{c x^{4} + b x^{2} + a}}{c d x^{4} - a d}\,{d x}"," ",0,"integrate(-sqrt(c*x^4 + b*x^2 + a)/(c*d*x^4 - a*d), x)","F",0
36,0,0,0,0.000000," ","integrate((-c*x^4+b*x^2+a)^(1/2)/(c*d*x^4+a*d),x, algorithm=""giac"")","\int \frac{\sqrt{-c x^{4} + b x^{2} + a}}{c d x^{4} + a d}\,{d x}"," ",0,"integrate(sqrt(-c*x^4 + b*x^2 + a)/(c*d*x^4 + a*d), x)","F",0
37,1,360,0,0.595668," ","integrate(x*(d*x^2+e*x+c)^(1/2)*((b*x^2+a)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{1920} \, \sqrt{d x^{2} + x e + c} {\left(2 \, {\left(4 \, {\left(6 \, {\left(8 \, b x \mathrm{sgn}\left(b x^{2} + a\right) + \frac{b e \mathrm{sgn}\left(b x^{2} + a\right)}{d}\right)} x + \frac{16 \, b c d^{3} \mathrm{sgn}\left(b x^{2} + a\right) + 80 \, a d^{4} \mathrm{sgn}\left(b x^{2} + a\right) - 7 \, b d^{2} e^{2} \mathrm{sgn}\left(b x^{2} + a\right)}{d^{4}}\right)} x - \frac{116 \, b c d^{2} e \mathrm{sgn}\left(b x^{2} + a\right) - 80 \, a d^{3} e \mathrm{sgn}\left(b x^{2} + a\right) - 35 \, b d e^{3} \mathrm{sgn}\left(b x^{2} + a\right)}{d^{4}}\right)} x - \frac{256 \, b c^{2} d^{2} \mathrm{sgn}\left(b x^{2} + a\right) - 640 \, a c d^{3} \mathrm{sgn}\left(b x^{2} + a\right) - 460 \, b c d e^{2} \mathrm{sgn}\left(b x^{2} + a\right) + 240 \, a d^{2} e^{2} \mathrm{sgn}\left(b x^{2} + a\right) + 105 \, b e^{4} \mathrm{sgn}\left(b x^{2} + a\right)}{d^{4}}\right)} - \frac{{\left(48 \, b c^{2} d^{2} e \mathrm{sgn}\left(b x^{2} + a\right) - 64 \, a c d^{3} e \mathrm{sgn}\left(b x^{2} + a\right) - 40 \, b c d e^{3} \mathrm{sgn}\left(b x^{2} + a\right) + 16 \, a d^{2} e^{3} \mathrm{sgn}\left(b x^{2} + a\right) + 7 \, b e^{5} \mathrm{sgn}\left(b x^{2} + a\right)\right)} \log\left({\left| -2 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)} \sqrt{d} - e \right|}\right)}{256 \, d^{\frac{9}{2}}}"," ",0,"1/1920*sqrt(d*x^2 + x*e + c)*(2*(4*(6*(8*b*x*sgn(b*x^2 + a) + b*e*sgn(b*x^2 + a)/d)*x + (16*b*c*d^3*sgn(b*x^2 + a) + 80*a*d^4*sgn(b*x^2 + a) - 7*b*d^2*e^2*sgn(b*x^2 + a))/d^4)*x - (116*b*c*d^2*e*sgn(b*x^2 + a) - 80*a*d^3*e*sgn(b*x^2 + a) - 35*b*d*e^3*sgn(b*x^2 + a))/d^4)*x - (256*b*c^2*d^2*sgn(b*x^2 + a) - 640*a*c*d^3*sgn(b*x^2 + a) - 460*b*c*d*e^2*sgn(b*x^2 + a) + 240*a*d^2*e^2*sgn(b*x^2 + a) + 105*b*e^4*sgn(b*x^2 + a))/d^4) - 1/256*(48*b*c^2*d^2*e*sgn(b*x^2 + a) - 64*a*c*d^3*e*sgn(b*x^2 + a) - 40*b*c*d*e^3*sgn(b*x^2 + a) + 16*a*d^2*e^3*sgn(b*x^2 + a) + 7*b*e^5*sgn(b*x^2 + a))*log(abs(-2*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))*sqrt(d) - e))/d^(9/2)","A",0
38,1,265,0,0.641734," ","integrate((d*x^2+e*x+c)^(1/2)*((b*x^2+a)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{192} \, \sqrt{d x^{2} + x e + c} {\left(2 \, {\left(4 \, {\left(6 \, b x \mathrm{sgn}\left(b x^{2} + a\right) + \frac{b e \mathrm{sgn}\left(b x^{2} + a\right)}{d}\right)} x + \frac{12 \, b c d^{2} \mathrm{sgn}\left(b x^{2} + a\right) + 48 \, a d^{3} \mathrm{sgn}\left(b x^{2} + a\right) - 5 \, b d e^{2} \mathrm{sgn}\left(b x^{2} + a\right)}{d^{3}}\right)} x - \frac{52 \, b c d e \mathrm{sgn}\left(b x^{2} + a\right) - 48 \, a d^{2} e \mathrm{sgn}\left(b x^{2} + a\right) - 15 \, b e^{3} \mathrm{sgn}\left(b x^{2} + a\right)}{d^{3}}\right)} + \frac{{\left(16 \, b c^{2} d^{2} \mathrm{sgn}\left(b x^{2} + a\right) - 64 \, a c d^{3} \mathrm{sgn}\left(b x^{2} + a\right) - 24 \, b c d e^{2} \mathrm{sgn}\left(b x^{2} + a\right) + 16 \, a d^{2} e^{2} \mathrm{sgn}\left(b x^{2} + a\right) + 5 \, b e^{4} \mathrm{sgn}\left(b x^{2} + a\right)\right)} \log\left({\left| -2 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)} \sqrt{d} - e \right|}\right)}{128 \, d^{\frac{7}{2}}}"," ",0,"1/192*sqrt(d*x^2 + x*e + c)*(2*(4*(6*b*x*sgn(b*x^2 + a) + b*e*sgn(b*x^2 + a)/d)*x + (12*b*c*d^2*sgn(b*x^2 + a) + 48*a*d^3*sgn(b*x^2 + a) - 5*b*d*e^2*sgn(b*x^2 + a))/d^3)*x - (52*b*c*d*e*sgn(b*x^2 + a) - 48*a*d^2*e*sgn(b*x^2 + a) - 15*b*e^3*sgn(b*x^2 + a))/d^3) + 1/128*(16*b*c^2*d^2*sgn(b*x^2 + a) - 64*a*c*d^3*sgn(b*x^2 + a) - 24*b*c*d*e^2*sgn(b*x^2 + a) + 16*a*d^2*e^2*sgn(b*x^2 + a) + 5*b*e^4*sgn(b*x^2 + a))*log(abs(-2*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))*sqrt(d) - e))/d^(7/2)","A",0
39,-2,0,0,0.000000," ","integrate((d*x^2+e*x+c)^(1/2)*((b*x^2+a)^2)^(1/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(b*x^2+a)]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.index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
40,-2,0,0,0.000000," ","integrate((d*x^2+e*x+c)^(1/2)*((b*x^2+a)^2)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(b*x^2+a)]Unable to divide, perhaps due to rounding error%%%{%%{[1,0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0,0,0,0,0]%%%}+%%%{%%{[-2,0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0,0,0,1,0]%%%}+%%%{%%{[1,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0,0,0,2,0]%%%} / %%%{%%%{1,[1]%%%},[4,0,0,0,0,0]%%%}+%%%{%%%{-2,[1]%%%},[2,0,0,0,1,0]%%%}+%%%{%%%{1,[1]%%%},[0,0,0,0,2,0]%%%} Error: Bad Argument Value","F(-2)",0
41,1,370,0,0.893980," ","integrate((d*x^2+e*x+c)^(1/2)*((b*x^2+a)^2)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{b e \log\left({\left| -2 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)} d - \sqrt{d} e \right|}\right) \mathrm{sgn}\left(b x^{2} + a\right)}{2 \, \sqrt{d}} + \sqrt{d x^{2} + x e + c} b \mathrm{sgn}\left(b x^{2} + a\right) + \frac{{\left(8 \, b c^{2} \mathrm{sgn}\left(b x^{2} + a\right) + 4 \, a c d \mathrm{sgn}\left(b x^{2} + a\right) - a e^{2} \mathrm{sgn}\left(b x^{2} + a\right)\right)} \arctan\left(-\frac{\sqrt{d} x - \sqrt{d x^{2} + x e + c}}{\sqrt{-c}}\right)}{4 \, \sqrt{-c} c} + \frac{4 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{3} a c d \mathrm{sgn}\left(b x^{2} + a\right) + 8 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{2} a c \sqrt{d} e \mathrm{sgn}\left(b x^{2} + a\right) + 4 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)} a c^{2} d \mathrm{sgn}\left(b x^{2} + a\right) + {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{3} a e^{2} \mathrm{sgn}\left(b x^{2} + a\right) + {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)} a c e^{2} \mathrm{sgn}\left(b x^{2} + a\right)}{4 \, {\left({\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{2} - c\right)}^{2} c}"," ",0,"-1/2*b*e*log(abs(-2*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))*d - sqrt(d)*e))*sgn(b*x^2 + a)/sqrt(d) + sqrt(d*x^2 + x*e + c)*b*sgn(b*x^2 + a) + 1/4*(8*b*c^2*sgn(b*x^2 + a) + 4*a*c*d*sgn(b*x^2 + a) - a*e^2*sgn(b*x^2 + a))*arctan(-(sqrt(d)*x - sqrt(d*x^2 + x*e + c))/sqrt(-c))/(sqrt(-c)*c) + 1/4*(4*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^3*a*c*d*sgn(b*x^2 + a) + 8*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^2*a*c*sqrt(d)*e*sgn(b*x^2 + a) + 4*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))*a*c^2*d*sgn(b*x^2 + a) + (sqrt(d)*x - sqrt(d*x^2 + x*e + c))^3*a*e^2*sgn(b*x^2 + a) + (sqrt(d)*x - sqrt(d*x^2 + x*e + c))*a*c*e^2*sgn(b*x^2 + a))/(((sqrt(d)*x - sqrt(d*x^2 + x*e + c))^2 - c)^2*c)","A",0
42,1,720,0,1.338513," ","integrate((d*x^2+e*x+c)^(1/2)*((b*x^2+a)^2)^(1/2)/x^4,x, algorithm=""giac"")","-b \sqrt{d} \log\left({\left| 2 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)} \sqrt{d} + e \right|}\right) \mathrm{sgn}\left(b x^{2} + a\right) + \frac{{\left(8 \, b c^{2} e \mathrm{sgn}\left(b x^{2} + a\right) - 4 \, a c d e \mathrm{sgn}\left(b x^{2} + a\right) + a e^{3} \mathrm{sgn}\left(b x^{2} + a\right)\right)} \arctan\left(-\frac{\sqrt{d} x - \sqrt{d x^{2} + x e + c}}{\sqrt{-c}}\right)}{8 \, \sqrt{-c} c^{2}} + \frac{24 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{5} b c^{2} \sqrt{d} e \mathrm{sgn}\left(b x^{2} + a\right) + 12 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{5} a c d^{\frac{3}{2}} e \mathrm{sgn}\left(b x^{2} + a\right) + 48 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{4} b c^{3} d \mathrm{sgn}\left(b x^{2} + a\right) + 48 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{4} a c^{2} d^{2} \mathrm{sgn}\left(b x^{2} + a\right) - 48 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{3} b c^{3} \sqrt{d} e \mathrm{sgn}\left(b x^{2} + a\right) + 48 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{3} a c^{2} d^{\frac{3}{2}} e \mathrm{sgn}\left(b x^{2} + a\right) - 96 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{2} b c^{4} d \mathrm{sgn}\left(b x^{2} + a\right) - 3 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{5} a \sqrt{d} e^{3} \mathrm{sgn}\left(b x^{2} + a\right) + 24 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)} b c^{4} \sqrt{d} e \mathrm{sgn}\left(b x^{2} + a\right) + 36 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)} a c^{3} d^{\frac{3}{2}} e \mathrm{sgn}\left(b x^{2} + a\right) + 48 \, b c^{5} d \mathrm{sgn}\left(b x^{2} + a\right) + 16 \, a c^{4} d^{2} \mathrm{sgn}\left(b x^{2} + a\right) + 48 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{2} a c^{2} d e^{2} \mathrm{sgn}\left(b x^{2} + a\right) + 8 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{3} a c \sqrt{d} e^{3} \mathrm{sgn}\left(b x^{2} + a\right) + 3 \, {\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)} a c^{2} \sqrt{d} e^{3} \mathrm{sgn}\left(b x^{2} + a\right)}{24 \, {\left({\left(\sqrt{d} x - \sqrt{d x^{2} + x e + c}\right)}^{2} - c\right)}^{3} c^{2} \sqrt{d}}"," ",0,"-b*sqrt(d)*log(abs(2*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))*sqrt(d) + e))*sgn(b*x^2 + a) + 1/8*(8*b*c^2*e*sgn(b*x^2 + a) - 4*a*c*d*e*sgn(b*x^2 + a) + a*e^3*sgn(b*x^2 + a))*arctan(-(sqrt(d)*x - sqrt(d*x^2 + x*e + c))/sqrt(-c))/(sqrt(-c)*c^2) + 1/24*(24*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^5*b*c^2*sqrt(d)*e*sgn(b*x^2 + a) + 12*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^5*a*c*d^(3/2)*e*sgn(b*x^2 + a) + 48*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^4*b*c^3*d*sgn(b*x^2 + a) + 48*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^4*a*c^2*d^2*sgn(b*x^2 + a) - 48*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^3*b*c^3*sqrt(d)*e*sgn(b*x^2 + a) + 48*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^3*a*c^2*d^(3/2)*e*sgn(b*x^2 + a) - 96*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^2*b*c^4*d*sgn(b*x^2 + a) - 3*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^5*a*sqrt(d)*e^3*sgn(b*x^2 + a) + 24*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))*b*c^4*sqrt(d)*e*sgn(b*x^2 + a) + 36*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))*a*c^3*d^(3/2)*e*sgn(b*x^2 + a) + 48*b*c^5*d*sgn(b*x^2 + a) + 16*a*c^4*d^2*sgn(b*x^2 + a) + 48*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^2*a*c^2*d*e^2*sgn(b*x^2 + a) + 8*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))^3*a*c*sqrt(d)*e^3*sgn(b*x^2 + a) + 3*(sqrt(d)*x - sqrt(d*x^2 + x*e + c))*a*c^2*sqrt(d)*e^3*sgn(b*x^2 + a))/(((sqrt(d)*x - sqrt(d*x^2 + x*e + c))^2 - c)^3*c^2*sqrt(d))","B",0
