1,0,0,0,0.000000," ","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=""maxima"")","\frac{2 \, m x^{3} + 3 \, l x^{2} + 6 \, k x}{6 \, c} - \frac{-\int \frac{{\left(c j - b m\right)} x^{5} + {\left(c h - b l\right)} x^{4} + {\left(c g - b k\right)} x^{3} + {\left(c f - a m\right)} x^{2} + c d - a k + {\left(c e - a l\right)} x}{c x^{6} + b x^{3} + a}\,{d x}}{c}"," ",0,"1/6*(2*m*x^3 + 3*l*x^2 + 6*k*x)/c - integrate(-((c*j - b*m)*x^5 + (c*h - b*l)*x^4 + (c*g - b*k)*x^3 + (c*f - a*m)*x^2 + c*d - a*k + (c*e - a*l)*x)/(c*x^6 + b*x^3 + a), x)/c","F",0
2,0,0,0,0.000000," ","integrate(1/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\frac{b c x x^{n} + {\left(b^{2} - 2 \, a c\right)} x}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}} - \int -\frac{b c {\left(n - 1\right)} x^{n} - 2 \, a c {\left(2 \, n - 1\right)} + b^{2} {\left(n - 1\right)}}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}}\,{d x}"," ",0,"(b*c*x*x^n + (b^2 - 2*a*c)*x)/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n) - integrate(-(b*c*(n - 1)*x^n - 2*a*c*(2*n - 1) + b^2*(n - 1))/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n), x)","F",0
7,0,0,0,0.000000," ","integrate((e*x+d)/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""maxima"")","\frac{{\left(b^{2} e - 2 \, a c e\right)} x^{2} + {\left(b c e x^{2} + b c d x\right)} x^{n} + {\left(b^{2} d - 2 \, a c d\right)} x}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}} - \int \frac{2 \, a c d {\left(2 \, n - 1\right)} - b^{2} d {\left(n - 1\right)} - {\left(b c e {\left(n - 2\right)} x + b c d {\left(n - 1\right)}\right)} x^{n} + {\left(4 \, a c e {\left(n - 1\right)} - b^{2} e {\left(n - 2\right)}\right)} x}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}}\,{d x}"," ",0,"((b^2*e - 2*a*c*e)*x^2 + (b*c*e*x^2 + b*c*d*x)*x^n + (b^2*d - 2*a*c*d)*x)/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n) - integrate((2*a*c*d*(2*n - 1) - b^2*d*(n - 1) - (b*c*e*(n - 2)*x + b*c*d*(n - 1))*x^n + (4*a*c*e*(n - 1) - b^2*e*(n - 2))*x)/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n), 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=""maxima"")","\frac{{\left(b^{2} f - 2 \, a c f\right)} x^{3} + {\left(b^{2} e - 2 \, a c e\right)} x^{2} + {\left(b c f x^{3} + b c e x^{2} + b c d x\right)} x^{n} + {\left(b^{2} d - 2 \, a c d\right)} x}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}} - \int \frac{2 \, a c d {\left(2 \, n - 1\right)} - b^{2} d {\left(n - 1\right)} + {\left(2 \, a c f {\left(2 \, n - 3\right)} - b^{2} f {\left(n - 3\right)}\right)} x^{2} - {\left(b c f {\left(n - 3\right)} x^{2} + b c e {\left(n - 2\right)} x + b c d {\left(n - 1\right)}\right)} x^{n} + {\left(4 \, a c e {\left(n - 1\right)} - b^{2} e {\left(n - 2\right)}\right)} x}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}}\,{d x}"," ",0,"((b^2*f - 2*a*c*f)*x^3 + (b^2*e - 2*a*c*e)*x^2 + (b*c*f*x^3 + b*c*e*x^2 + b*c*d*x)*x^n + (b^2*d - 2*a*c*d)*x)/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n) - integrate((2*a*c*d*(2*n - 1) - b^2*d*(n - 1) + (2*a*c*f*(2*n - 3) - b^2*f*(n - 3))*x^2 - (b*c*f*(n - 3)*x^2 + b*c*e*(n - 2)*x + b*c*d*(n - 1))*x^n + (4*a*c*e*(n - 1) - b^2*e*(n - 2))*x)/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n), 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=""maxima"")","\frac{{\left(b^{2} g - 2 \, a c g\right)} x^{4} + {\left(b^{2} f - 2 \, a c f\right)} x^{3} + {\left(b^{2} e - 2 \, a c e\right)} x^{2} + {\left(b c g x^{4} + b c f x^{3} + b c e x^{2} + b c d x\right)} x^{n} + {\left(b^{2} d - 2 \, a c d\right)} x}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}} - \int \frac{2 \, a c d {\left(2 \, n - 1\right)} - b^{2} d {\left(n - 1\right)} + {\left(4 \, a c g {\left(n - 2\right)} - b^{2} g {\left(n - 4\right)}\right)} x^{3} + {\left(2 \, a c f {\left(2 \, n - 3\right)} - b^{2} f {\left(n - 3\right)}\right)} x^{2} - {\left(b c g {\left(n - 4\right)} x^{3} + b c f {\left(n - 3\right)} x^{2} + b c e {\left(n - 2\right)} x + b c d {\left(n - 1\right)}\right)} x^{n} + {\left(4 \, a c e {\left(n - 1\right)} - b^{2} e {\left(n - 2\right)}\right)} x}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}}\,{d x}"," ",0,"((b^2*g - 2*a*c*g)*x^4 + (b^2*f - 2*a*c*f)*x^3 + (b^2*e - 2*a*c*e)*x^2 + (b*c*g*x^4 + b*c*f*x^3 + b*c*e*x^2 + b*c*d*x)*x^n + (b^2*d - 2*a*c*d)*x)/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n) - integrate((2*a*c*d*(2*n - 1) - b^2*d*(n - 1) + (4*a*c*g*(n - 2) - b^2*g*(n - 4))*x^3 + (2*a*c*f*(2*n - 3) - b^2*f*(n - 3))*x^2 - (b*c*g*(n - 4)*x^3 + b*c*f*(n - 3)*x^2 + b*c*e*(n - 2)*x + b*c*d*(n - 1))*x^n + (4*a*c*e*(n - 1) - b^2*e*(n - 2))*x)/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n), 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=""maxima"")","\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
11,1,35,0,1.218643," ","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=""maxima"")","{\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
12,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(c g x^{\frac{3}{4} \, n} + c f x^{\frac{1}{4} \, n} + c h x^{n} - a h\right)} x^{\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)*x^(1/4*n - 1)/(c*x^n + a)^(3/2), x)","F",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=""maxima"")","\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
14,0,0,0,0.000000," ","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=""maxima"")","\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)} 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^(2*n) + c*g*x^(3/2*n) + c*f*x^(1/2*n) - a*h)*x^(1/2*n - 1)/(c*x^(2*n) + b*x^n + a)^(3/2), x)","F",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=""maxima"")","\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
16,1,60,0,1.181021," ","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=""maxima"")","{\left(a g^{m} x x^{m} + c g^{m} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)} + b g^{m} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}\right)} {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p}"," ",0,"(a*g^m*x*x^m + c*g^m*x*e^(m*log(x) + 2*n*log(x)) + b*g^m*x*e^(m*log(x) + n*log(x)))*(c*x^(2*n) + b*x^n + a)^p","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=""maxima"")","\frac{{\left(C a b c - 2 \, B a c^{2} + A b c^{2} - {\left(a b^{2} - 2 \, a^{2} c\right)} D\right)} x x^{n} - {\left(D a^{2} b - 2 \, C a^{2} c + B a b c - {\left(b^{2} c - 2 \, a c^{2}\right)} A\right)} x}{a^{2} b^{2} c n - 4 \, a^{3} c^{2} n + {\left(a b^{2} c^{2} n - 4 \, a^{2} c^{3} n\right)} x^{2 \, n} + {\left(a b^{3} c n - 4 \, a^{2} b c^{2} n\right)} x^{n}} - \int -\frac{D a^{2} b - 2 \, C a^{2} c + B a b c - {\left(2 \, a c^{2} {\left(2 \, n - 1\right)} - b^{2} c {\left(n - 1\right)}\right)} A + {\left(C a b c {\left(n - 1\right)} - 2 \, B a c^{2} {\left(n - 1\right)} + A b c^{2} {\left(n - 1\right)} - {\left(2 \, a^{2} c {\left(n + 1\right)} - a b^{2}\right)} D\right)} x^{n}}{a^{2} b^{2} c n - 4 \, a^{3} c^{2} n + {\left(a b^{2} c^{2} n - 4 \, a^{2} c^{3} n\right)} x^{2 \, n} + {\left(a b^{3} c n - 4 \, a^{2} b c^{2} n\right)} x^{n}}\,{d x}"," ",0,"((C*a*b*c - 2*B*a*c^2 + A*b*c^2 - (a*b^2 - 2*a^2*c)*D)*x*x^n - (D*a^2*b - 2*C*a^2*c + B*a*b*c - (b^2*c - 2*a*c^2)*A)*x)/(a^2*b^2*c*n - 4*a^3*c^2*n + (a*b^2*c^2*n - 4*a^2*c^3*n)*x^(2*n) + (a*b^3*c*n - 4*a^2*b*c^2*n)*x^n) - integrate(-(D*a^2*b - 2*C*a^2*c + B*a*b*c - (2*a*c^2*(2*n - 1) - b^2*c*(n - 1))*A + (C*a*b*c*(n - 1) - 2*B*a*c^2*(n - 1) + A*b*c^2*(n - 1) - (2*a^2*c*(n + 1) - a*b^2)*D)*x^n)/(a^2*b^2*c*n - 4*a^3*c^2*n + (a*b^2*c^2*n - 4*a^2*c^3*n)*x^(2*n) + (a*b^3*c*n - 4*a^2*b*c^2*n)*x^n), x)","F",0
