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=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,0,0,0,1.186217," ","integrate(1/(a+b*x^n+c*x^(2*n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{c x^{2 \, n} + b x^{n} + a}, x\right)"," ",0,"integral(1/(c*x^(2*n) + b*x^n + a), x)","F",0
3,0,0,0,0.976407," ","integrate((e*x+d)/(a+b*x^n+c*x^(2*n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x + d}{c x^{2 \, n} + b x^{n} + a}, x\right)"," ",0,"integral((e*x + d)/(c*x^(2*n) + b*x^n + a), x)","F",0
4,0,0,0,1.181500," ","integrate((f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{f x^{2} + e x + d}{c x^{2 \, n} + b x^{n} + a}, x\right)"," ",0,"integral((f*x^2 + e*x + d)/(c*x^(2*n) + b*x^n + a), x)","F",0
5,0,0,0,0.957278," ","integrate((g*x^3+f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x^{3} + f x^{2} + e x + d}{c x^{2 \, n} + b x^{n} + a}, x\right)"," ",0,"integral((g*x^3 + f*x^2 + e*x + d)/(c*x^(2*n) + b*x^n + a), x)","F",0
6,0,0,0,0.961920," ","integrate(1/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{c^{2} x^{4 \, n} + b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2} + 2 \, {\left(b c x^{n} + a c\right)} x^{2 \, n}}, x\right)"," ",0,"integral(1/(c^2*x^(4*n) + b^2*x^(2*n) + 2*a*b*x^n + a^2 + 2*(b*c*x^n + a*c)*x^(2*n)), x)","F",0
7,0,0,0,1.050650," ","integrate((e*x+d)/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x + d}{c^{2} x^{4 \, n} + b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2} + 2 \, {\left(b c x^{n} + a c\right)} x^{2 \, n}}, x\right)"," ",0,"integral((e*x + d)/(c^2*x^(4*n) + b^2*x^(2*n) + 2*a*b*x^n + a^2 + 2*(b*c*x^n + a*c)*x^(2*n)), x)","F",0
8,0,0,0,0.937450," ","integrate((f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f x^{2} + e x + d}{c^{2} x^{4 \, n} + b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2} + 2 \, {\left(b c x^{n} + a c\right)} x^{2 \, n}}, x\right)"," ",0,"integral((f*x^2 + e*x + d)/(c^2*x^(4*n) + b^2*x^(2*n) + 2*a*b*x^n + a^2 + 2*(b*c*x^n + a*c)*x^(2*n)), x)","F",0
9,0,0,0,1.117344," ","integrate((g*x^3+f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x^{3} + f x^{2} + e x + d}{c^{2} x^{4 \, n} + b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2} + 2 \, {\left(b c x^{n} + a c\right)} x^{2 \, n}}, x\right)"," ",0,"integral((g*x^3 + f*x^2 + e*x + d)/(c^2*x^(4*n) + b^2*x^(2*n) + 2*a*b*x^n + a^2 + 2*(b*c*x^n + a*c)*x^(2*n)), x)","F",0
10,1,137,0,1.103061," ","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=""fricas"")","-\frac{2 \, \sqrt{c x^{4} x^{2 \, n - 4} + b x^{2} x^{n - 2} + a} {\left({\left(2 \, c^{2} f - b c g\right)} x^{2} x^{n - 2} + {\left(b^{2} - 4 \, a c\right)} h x x^{\frac{1}{2} \, n - 1} + b c f - 2 \, a c g\right)}}{{\left(b^{2} c - 4 \, a c^{2}\right)} n x^{4} x^{2 \, n - 4} + {\left(b^{3} - 4 \, a b c\right)} n x^{2} x^{n - 2} + {\left(a b^{2} - 4 \, a^{2} c\right)} n}"," ",0,"-2*sqrt(c*x^4*x^(2*n - 4) + b*x^2*x^(n - 2) + a)*((2*c^2*f - b*c*g)*x^2*x^(n - 2) + (b^2 - 4*a*c)*h*x*x^(1/2*n - 1) + b*c*f - 2*a*c*g)/((b^2*c - 4*a*c^2)*n*x^4*x^(2*n - 4) + (b^3 - 4*a*b*c)*n*x^2*x^(n - 2) + (a*b^2 - 4*a^2*c)*n)","A",0
11,1,35,0,1.173726," ","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=""fricas"")","{\left(c x x^{2 \, n} + b x x^{n} + a x\right)} {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p}"," ",0,"(c*x*x^(2*n) + b*x*x^n + a*x)*(c*x^(2*n) + b*x^n + a)^p","A",0
12,1,48,0,1.088564," ","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=""fricas"")","\frac{2 \, {\left(c f x^{\frac{1}{2} \, n} - 2 \, a h x^{\frac{1}{4} \, n} - a g\right)} \sqrt{c x^{n} + a}}{a c n x^{n} + a^{2} n}"," ",0,"2*(c*f*x^(1/2*n) - 2*a*h*x^(1/4*n) - a*g)*sqrt(c*x^n + a)/(a*c*n*x^n + a^2*n)","A",0
13,1,69,0,1.372918," ","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=""fricas"")","\frac{2 \, {\left(c d^{\frac{1}{4} \, n - 1} f x^{\frac{1}{2} \, n} - 2 \, a d^{\frac{1}{4} \, n - 1} h x^{\frac{1}{4} \, n} - a d^{\frac{1}{4} \, n - 1} g\right)} \sqrt{c x^{n} + a}}{a c n x^{n} + a^{2} n}"," ",0,"2*(c*d^(1/4*n - 1)*f*x^(1/2*n) - 2*a*d^(1/4*n - 1)*h*x^(1/4*n) - a*d^(1/4*n - 1)*g)*sqrt(c*x^n + a)/(a*c*n*x^n + a^2*n)","A",0
14,1,109,0,1.170970," ","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=""fricas"")","-\frac{2 \, {\left(b c f - 2 \, a c g + {\left(b^{2} - 4 \, a c\right)} h x^{\frac{1}{2} \, n} + {\left(2 \, c^{2} f - b c g\right)} x^{n}\right)} \sqrt{c x^{2 \, n} + b x^{n} + a}}{{\left(b^{2} c - 4 \, a c^{2}\right)} n x^{2 \, n} + {\left(b^{3} - 4 \, a b c\right)} n x^{n} + {\left(a b^{2} - 4 \, a^{2} c\right)} n}"," ",0,"-2*(b*c*f - 2*a*c*g + (b^2 - 4*a*c)*h*x^(1/2*n) + (2*c^2*f - b*c*g)*x^n)*sqrt(c*x^(2*n) + b*x^n + a)/((b^2*c - 4*a*c^2)*n*x^(2*n) + (b^3 - 4*a*b*c)*n*x^n + (a*b^2 - 4*a^2*c)*n)","A",0
15,1,132,0,1.298544," ","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=""fricas"")","-\frac{2 \, {\left({\left(b^{2} - 4 \, a c\right)} d^{\frac{1}{2} \, n - 1} h x^{\frac{1}{2} \, n} + {\left(2 \, c^{2} f - b c g\right)} d^{\frac{1}{2} \, n - 1} x^{n} + {\left(b c f - 2 \, a c g\right)} d^{\frac{1}{2} \, n - 1}\right)} \sqrt{c x^{2 \, n} + b x^{n} + a}}{{\left(b^{2} c - 4 \, a c^{2}\right)} n x^{2 \, n} + {\left(b^{3} - 4 \, a b c\right)} n x^{n} + {\left(a b^{2} - 4 \, a^{2} c\right)} n}"," ",0,"-2*((b^2 - 4*a*c)*d^(1/2*n - 1)*h*x^(1/2*n) + (2*c^2*f - b*c*g)*d^(1/2*n - 1)*x^n + (b*c*f - 2*a*c*g)*d^(1/2*n - 1))*sqrt(c*x^(2*n) + b*x^n + a)/((b^2*c - 4*a*c^2)*n*x^(2*n) + (b^3 - 4*a*b*c)*n*x^n + (a*b^2 - 4*a^2*c)*n)","A",0
16,1,65,0,1.054160," ","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=""fricas"")","{\left(c x x^{2 \, n} e^{\left(m \log\left(g\right) + m \log\left(x\right)\right)} + b x x^{n} e^{\left(m \log\left(g\right) + m \log\left(x\right)\right)} + a x e^{\left(m \log\left(g\right) + m \log\left(x\right)\right)}\right)} {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p}"," ",0,"(c*x*x^(2*n)*e^(m*log(g) + m*log(x)) + b*x*x^n*e^(m*log(g) + m*log(x)) + a*x*e^(m*log(g) + m*log(x)))*(c*x^(2*n) + b*x^n + a)^p","B",0
17,0,0,0,1.232100," ","integrate((A+B*x^n+C*x^(2*n)+D*x^(3*n))/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{D x^{3 \, n} + C x^{2 \, n} + B x^{n} + A}{c^{2} x^{4 \, n} + b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2} + 2 \, {\left(b c x^{n} + a c\right)} x^{2 \, n}}, x\right)"," ",0,"integral((D*x^(3*n) + C*x^(2*n) + B*x^n + A)/(c^2*x^(4*n) + b^2*x^(2*n) + 2*a*b*x^n + a^2 + 2*(b*c*x^n + a*c)*x^(2*n)), x)","F",0
