1,-1,0,0,0.000000," ","integrate((m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^6+b*x^3+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,0,0,0,0.000000," ","integrate(1/(a+b*x^n+c*x^(2*n)),x, algorithm=""giac"")","\int \frac{1}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate(1/(c*x^(2*n) + b*x^n + a), x)","F",0
3,0,0,0,0.000000," ","integrate((e*x+d)/(a+b*x^n+c*x^(2*n)),x, algorithm=""giac"")","\int \frac{e x + d}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate((e*x + d)/(c*x^(2*n) + b*x^n + a), x)","F",0
4,0,0,0,0.000000," ","integrate((f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n)),x, algorithm=""giac"")","\int \frac{f x^{2} + e x + d}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate((f*x^2 + e*x + d)/(c*x^(2*n) + b*x^n + a), x)","F",0
5,0,0,0,0.000000," ","integrate((g*x^3+f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n)),x, algorithm=""giac"")","\int \frac{g x^{3} + f x^{2} + e x + d}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate((g*x^3 + f*x^2 + e*x + d)/(c*x^(2*n) + b*x^n + a), x)","F",0
6,0,0,0,0.000000," ","integrate(1/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(-2), x)","F",0
7,0,0,0,0.000000," ","integrate((e*x+d)/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""giac"")","\int \frac{e x + d}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)/(c*x^(2*n) + b*x^n + a)^2, x)","F",0
8,0,0,0,0.000000," ","integrate((f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""giac"")","\int \frac{f x^{2} + e x + d}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x^2 + e*x + d)/(c*x^(2*n) + b*x^n + a)^2, x)","F",0
9,0,0,0,0.000000," ","integrate((g*x^3+f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""giac"")","\int \frac{g x^{3} + f x^{2} + e x + d}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate((g*x^3 + f*x^2 + e*x + d)/(c*x^(2*n) + b*x^n + a)^2, x)","F",0
10,0,0,0,0.000000," ","integrate((-a*h*x^(-1+1/2*n)+c*f*x^(-1+n)+c*g*x^(-1+2*n)+c*h*x^(-1+5/2*n))/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""giac"")","\int \frac{c h x^{\frac{5}{2} \, n - 1} + c g x^{2 \, n - 1} + c f x^{n - 1} - a h x^{\frac{1}{2} \, n - 1}}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*h*x^(5/2*n - 1) + c*g*x^(2*n - 1) + c*f*x^(n - 1) - a*h*x^(1/2*n - 1))/(c*x^(2*n) + b*x^n + a)^(3/2), x)","F",0
11,1,66,0,0.840983," ","integrate((a+b*x^n+c*x^(2*n))^p*(a+b*(n*p+n+1)*x^n+c*(1+2*n*(1+p))*x^(2*n)),x, algorithm=""giac"")","{\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} c x x^{2 \, n} + {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} b x x^{n} + {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} a x"," ",0,"(c*x^(2*n) + b*x^n + a)^p*c*x*x^(2*n) + (c*x^(2*n) + b*x^n + a)^p*b*x*x^n + (c*x^(2*n) + b*x^n + a)^p*a*x","B",0
12,1,39,0,35.008515," ","integrate(x^(-1+1/4*n)*(-a*h+c*f*x^(1/4*n)+c*g*x^(3/4*n)+c*h*x^n)/(a+c*x^n)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(\frac{c f {\left(x^{n}\right)}^{\frac{1}{4}}}{a} - 2 \, h\right)} {\left(x^{n}\right)}^{\frac{1}{4}} - g\right)}}{\sqrt{c x^{n} + a} n}"," ",0,"2*((c*f*(x^n)^(1/4)/a - 2*h)*(x^n)^(1/4) - g)/(sqrt(c*x^n + a)*n)","A",0
13,0,0,0,0.000000," ","integrate((d*x)^(-1+1/4*n)*(-a*h+c*f*x^(1/4*n)+c*g*x^(3/4*n)+c*h*x^n)/(a+c*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c g x^{\frac{3}{4} \, n} + c f x^{\frac{1}{4} \, n} + c h x^{n} - a h\right)} \left(d x\right)^{\frac{1}{4} \, n - 1}}{{\left(c x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*g*x^(3/4*n) + c*f*x^(1/4*n) + c*h*x^n - a*h)*(d*x)^(1/4*n - 1)/(c*x^n + a)^(3/2), x)","F",0
14,1,187,0,4.720918," ","integrate(x^(-1+1/2*n)*(-a*h+c*f*x^(1/2*n)+c*g*x^(3/2*n)+c*h*x^(2*n))/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\sqrt{x^{n}} {\left(\frac{{\left(2 \, b^{2} c^{2} f - 8 \, a c^{3} f - b^{3} c g + 4 \, a b c^{2} g\right)} \sqrt{x^{n}}}{b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}} + \frac{b^{4} h - 8 \, a b^{2} c h + 16 \, a^{2} c^{2} h}{b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}}\right)} + \frac{b^{3} c f - 4 \, a b c^{2} f - 2 \, a b^{2} c g + 8 \, a^{2} c^{2} g}{b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}}\right)}}{\sqrt{c x^{2 \, n} + b x^{n} + a} n}"," ",0,"-2*(sqrt(x^n)*((2*b^2*c^2*f - 8*a*c^3*f - b^3*c*g + 4*a*b*c^2*g)*sqrt(x^n)/(b^4 - 8*a*b^2*c + 16*a^2*c^2) + (b^4*h - 8*a*b^2*c*h + 16*a^2*c^2*h)/(b^4 - 8*a*b^2*c + 16*a^2*c^2)) + (b^3*c*f - 4*a*b*c^2*f - 2*a*b^2*c*g + 8*a^2*c^2*g)/(b^4 - 8*a*b^2*c + 16*a^2*c^2))/(sqrt(c*x^(2*n) + b*x^n + a)*n)","B",0
15,0,0,0,0.000000," ","integrate((d*x)^(-1+1/2*n)*(-a*h+c*f*x^(1/2*n)+c*g*x^(3/2*n)+c*h*x^(2*n))/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(c h x^{2 \, n} + c g x^{\frac{3}{2} \, n} + c f x^{\frac{1}{2} \, n} - a h\right)} \left(d x\right)^{\frac{1}{2} \, n - 1}}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*h*x^(2*n) + c*g*x^(3/2*n) + c*f*x^(1/2*n) - a*h)*(d*x)^(1/2*n - 1)/(c*x^(2*n) + b*x^n + a)^(3/2), x)","F",0
16,1,96,0,1.554907," ","integrate((g*x)^m*(a+b*x^n+c*x^(2*n))^p*(a*(1+m)+b*(n*p+m+n+1)*x^n+c*(1+m+2*n*(1+p))*x^(2*n)),x, algorithm=""giac"")","{\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} c x x^{2 \, n} e^{\left(m \log\left(g\right) + m \log\left(x\right)\right)} + {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} b x x^{n} e^{\left(m \log\left(g\right) + m \log\left(x\right)\right)} + {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} a x e^{\left(m \log\left(g\right) + m \log\left(x\right)\right)}"," ",0,"(c*x^(2*n) + b*x^n + a)^p*c*x*x^(2*n)*e^(m*log(g) + m*log(x)) + (c*x^(2*n) + b*x^n + a)^p*b*x*x^n*e^(m*log(g) + m*log(x)) + (c*x^(2*n) + b*x^n + a)^p*a*x*e^(m*log(g) + m*log(x))","B",0
17,0,0,0,0.000000," ","integrate((A+B*x^n+C*x^(2*n)+D*x^(3*n))/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""giac"")","\int \frac{D x^{3 \, n} + C x^{2 \, n} + B x^{n} + A}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{2}}\,{d x}"," ",0,"integrate((D*x^(3*n) + C*x^(2*n) + B*x^n + A)/(c*x^(2*n) + b*x^n + a)^2, x)","F",0
