1,1,166,0,0.812689," ","integrate((e*x^3+d)^5*(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{1}{22} \, c e^{5} x^{22} + \frac{1}{19} \, {\left(5 \, c d e^{4} + b e^{5}\right)} x^{19} + \frac{1}{16} \, {\left(10 \, c d^{2} e^{3} + 5 \, b d e^{4} + a e^{5}\right)} x^{16} + \frac{5}{13} \, {\left(2 \, c d^{3} e^{2} + 2 \, b d^{2} e^{3} + a d e^{4}\right)} x^{13} + \frac{1}{2} \, {\left(c d^{4} e + 2 \, b d^{3} e^{2} + 2 \, a d^{2} e^{3}\right)} x^{10} + \frac{1}{7} \, {\left(c d^{5} + 5 \, b d^{4} e + 10 \, a d^{3} e^{2}\right)} x^{7} + a d^{5} x + \frac{1}{4} \, {\left(b d^{5} + 5 \, a d^{4} e\right)} x^{4}"," ",0,"1/22*c*e^5*x^22 + 1/19*(5*c*d*e^4 + b*e^5)*x^19 + 1/16*(10*c*d^2*e^3 + 5*b*d*e^4 + a*e^5)*x^16 + 5/13*(2*c*d^3*e^2 + 2*b*d^2*e^3 + a*d*e^4)*x^13 + 1/2*(c*d^4*e + 2*b*d^3*e^2 + 2*a*d^2*e^3)*x^10 + 1/7*(c*d^5 + 5*b*d^4*e + 10*a*d^3*e^2)*x^7 + a*d^5*x + 1/4*(b*d^5 + 5*a*d^4*e)*x^4","A",0
2,1,135,0,0.720238," ","integrate((e*x^3+d)^4*(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{1}{19} \, c e^{4} x^{19} + \frac{1}{16} \, {\left(4 \, c d e^{3} + b e^{4}\right)} x^{16} + \frac{1}{13} \, {\left(6 \, c d^{2} e^{2} + 4 \, b d e^{3} + a e^{4}\right)} x^{13} + \frac{1}{5} \, {\left(2 \, c d^{3} e + 3 \, b d^{2} e^{2} + 2 \, a d e^{3}\right)} x^{10} + \frac{1}{7} \, {\left(c d^{4} + 4 \, b d^{3} e + 6 \, a d^{2} e^{2}\right)} x^{7} + a d^{4} x + \frac{1}{4} \, {\left(b d^{4} + 4 \, a d^{3} e\right)} x^{4}"," ",0,"1/19*c*e^4*x^19 + 1/16*(4*c*d*e^3 + b*e^4)*x^16 + 1/13*(6*c*d^2*e^2 + 4*b*d*e^3 + a*e^4)*x^13 + 1/5*(2*c*d^3*e + 3*b*d^2*e^2 + 2*a*d*e^3)*x^10 + 1/7*(c*d^4 + 4*b*d^3*e + 6*a*d^2*e^2)*x^7 + a*d^4*x + 1/4*(b*d^4 + 4*a*d^3*e)*x^4","A",0
3,1,102,0,0.652978," ","integrate((e*x^3+d)^3*(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{1}{16} \, c e^{3} x^{16} + \frac{1}{13} \, {\left(3 \, c d e^{2} + b e^{3}\right)} x^{13} + \frac{1}{10} \, {\left(3 \, c d^{2} e + 3 \, b d e^{2} + a e^{3}\right)} x^{10} + \frac{1}{7} \, {\left(c d^{3} + 3 \, b d^{2} e + 3 \, a d e^{2}\right)} x^{7} + a d^{3} x + \frac{1}{4} \, {\left(b d^{3} + 3 \, a d^{2} e\right)} x^{4}"," ",0,"1/16*c*e^3*x^16 + 1/13*(3*c*d*e^2 + b*e^3)*x^13 + 1/10*(3*c*d^2*e + 3*b*d*e^2 + a*e^3)*x^10 + 1/7*(c*d^3 + 3*b*d^2*e + 3*a*d*e^2)*x^7 + a*d^3*x + 1/4*(b*d^3 + 3*a*d^2*e)*x^4","A",0
4,1,69,0,0.747085," ","integrate((e*x^3+d)^2*(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{1}{13} \, c e^{2} x^{13} + \frac{1}{10} \, {\left(2 \, c d e + b e^{2}\right)} x^{10} + \frac{1}{7} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{7} + \frac{1}{4} \, {\left(b d^{2} + 2 \, a d e\right)} x^{4} + a d^{2} x"," ",0,"1/13*c*e^2*x^13 + 1/10*(2*c*d*e + b*e^2)*x^10 + 1/7*(c*d^2 + 2*b*d*e + a*e^2)*x^7 + 1/4*(b*d^2 + 2*a*d*e)*x^4 + a*d^2*x","A",0
5,1,36,0,0.551749," ","integrate((e*x^3+d)*(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{1}{10} \, c e x^{10} + \frac{1}{7} \, {\left(c d + b e\right)} x^{7} + \frac{1}{4} \, {\left(b d + a e\right)} x^{4} + a d x"," ",0,"1/10*c*e*x^10 + 1/7*(c*d + b*e)*x^7 + 1/4*(b*d + a*e)*x^4 + a*d*x","A",0
6,1,169,0,1.522948," ","integrate((c*x^6+b*x^3+a)/(e*x^3+d),x, algorithm=""maxima"")","\frac{c e x^{4} - 4 \, {\left(c d - b e\right)} x}{4 \, e^{2}} + \frac{\sqrt{3} {\left(c d^{2} - b d e + a e^{2}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{d}{e}\right)^{\frac{1}{3}}}\right)}{3 \, e^{3} \left(\frac{d}{e}\right)^{\frac{2}{3}}} - \frac{{\left(c d^{2} - b d e + a e^{2}\right)} \log\left(x^{2} - x \left(\frac{d}{e}\right)^{\frac{1}{3}} + \left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{6 \, e^{3} \left(\frac{d}{e}\right)^{\frac{2}{3}}} + \frac{{\left(c d^{2} - b d e + a e^{2}\right)} \log\left(x + \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{3 \, e^{3} \left(\frac{d}{e}\right)^{\frac{2}{3}}}"," ",0,"1/4*(c*e*x^4 - 4*(c*d - b*e)*x)/e^2 + 1/3*sqrt(3)*(c*d^2 - b*d*e + a*e^2)*arctan(1/3*sqrt(3)*(2*x - (d/e)^(1/3))/(d/e)^(1/3))/(e^3*(d/e)^(2/3)) - 1/6*(c*d^2 - b*d*e + a*e^2)*log(x^2 - x*(d/e)^(1/3) + (d/e)^(2/3))/(e^3*(d/e)^(2/3)) + 1/3*(c*d^2 - b*d*e + a*e^2)*log(x + (d/e)^(1/3))/(e^3*(d/e)^(2/3))","A",0
7,1,204,0,1.600281," ","integrate((c*x^6+b*x^3+a)/(e*x^3+d)^2,x, algorithm=""maxima"")","\frac{{\left(c d^{2} - b d e + a e^{2}\right)} x}{3 \, {\left(d e^{3} x^{3} + d^{2} e^{2}\right)}} + \frac{c x}{e^{2}} - \frac{\sqrt{3} {\left(4 \, c d^{2} - b d e - 2 \, a e^{2}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{d}{e}\right)^{\frac{1}{3}}}\right)}{9 \, d e^{3} \left(\frac{d}{e}\right)^{\frac{2}{3}}} + \frac{{\left(4 \, c d^{2} - b d e - 2 \, a e^{2}\right)} \log\left(x^{2} - x \left(\frac{d}{e}\right)^{\frac{1}{3}} + \left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{18 \, d e^{3} \left(\frac{d}{e}\right)^{\frac{2}{3}}} - \frac{{\left(4 \, c d^{2} - b d e - 2 \, a e^{2}\right)} \log\left(x + \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \, d e^{3} \left(\frac{d}{e}\right)^{\frac{2}{3}}}"," ",0,"1/3*(c*d^2 - b*d*e + a*e^2)*x/(d*e^3*x^3 + d^2*e^2) + c*x/e^2 - 1/9*sqrt(3)*(4*c*d^2 - b*d*e - 2*a*e^2)*arctan(1/3*sqrt(3)*(2*x - (d/e)^(1/3))/(d/e)^(1/3))/(d*e^3*(d/e)^(2/3)) + 1/18*(4*c*d^2 - b*d*e - 2*a*e^2)*log(x^2 - x*(d/e)^(1/3) + (d/e)^(2/3))/(d*e^3*(d/e)^(2/3)) - 1/9*(4*c*d^2 - b*d*e - 2*a*e^2)*log(x + (d/e)^(1/3))/(d*e^3*(d/e)^(2/3))","A",0
8,1,240,0,1.694312," ","integrate((c*x^6+b*x^3+a)/(e*x^3+d)^3,x, algorithm=""maxima"")","-\frac{{\left(7 \, c d^{2} e - b d e^{2} - 5 \, a e^{3}\right)} x^{4} + 2 \, {\left(2 \, c d^{3} + b d^{2} e - 4 \, a d e^{2}\right)} x}{18 \, {\left(d^{2} e^{4} x^{6} + 2 \, d^{3} e^{3} x^{3} + d^{4} e^{2}\right)}} + \frac{\sqrt{3} {\left(2 \, c d^{2} + b d e + 5 \, a e^{2}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{d}{e}\right)^{\frac{1}{3}}}\right)}{27 \, d^{2} e^{3} \left(\frac{d}{e}\right)^{\frac{2}{3}}} - \frac{{\left(2 \, c d^{2} + b d e + 5 \, a e^{2}\right)} \log\left(x^{2} - x \left(\frac{d}{e}\right)^{\frac{1}{3}} + \left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{54 \, d^{2} e^{3} \left(\frac{d}{e}\right)^{\frac{2}{3}}} + \frac{{\left(2 \, c d^{2} + b d e + 5 \, a e^{2}\right)} \log\left(x + \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{27 \, d^{2} e^{3} \left(\frac{d}{e}\right)^{\frac{2}{3}}}"," ",0,"-1/18*((7*c*d^2*e - b*d*e^2 - 5*a*e^3)*x^4 + 2*(2*c*d^3 + b*d^2*e - 4*a*d*e^2)*x)/(d^2*e^4*x^6 + 2*d^3*e^3*x^3 + d^4*e^2) + 1/27*sqrt(3)*(2*c*d^2 + b*d*e + 5*a*e^2)*arctan(1/3*sqrt(3)*(2*x - (d/e)^(1/3))/(d/e)^(1/3))/(d^2*e^3*(d/e)^(2/3)) - 1/54*(2*c*d^2 + b*d*e + 5*a*e^2)*log(x^2 - x*(d/e)^(1/3) + (d/e)^(2/3))/(d^2*e^3*(d/e)^(2/3)) + 1/27*(2*c*d^2 + b*d*e + 5*a*e^2)*log(x + (d/e)^(1/3))/(d^2*e^3*(d/e)^(2/3))","A",0
9,-2,0,0,0.000000," ","integrate(x^8*(e*x^3+d)/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
10,-2,0,0,0.000000," ","integrate(x^5*(e*x^3+d)/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
11,-2,0,0,0.000000," ","integrate(x^2*(e*x^3+d)/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
12,-2,0,0,0.000000," ","integrate((e*x^3+d)/x/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
13,-2,0,0,0.000000," ","integrate((e*x^3+d)/x^4/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
14,0,0,0,0.000000," ","integrate(x^4*(e*x^3+d)/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{e x^{2}}{2 \, c} - \frac{-\int \frac{{\left(c d - b e\right)} x^{4} - a e x}{c x^{6} + b x^{3} + a}\,{d x}}{c}"," ",0,"1/2*e*x^2/c - integrate(-((c*d - b*e)*x^4 - a*e*x)/(c*x^6 + b*x^3 + a), x)/c","F",0
15,0,0,0,0.000000," ","integrate(x^3*(e*x^3+d)/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{e x}{c} - \frac{-\int \frac{{\left(c d - b e\right)} x^{3} - a e}{c x^{6} + b x^{3} + a}\,{d x}}{c}"," ",0,"e*x/c - integrate(-((c*d - b*e)*x^3 - a*e)/(c*x^6 + b*x^3 + a), x)/c","F",0
16,0,0,0,0.000000," ","integrate(x*(e*x^3+d)/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{3} + d\right)} x}{c x^{6} + b x^{3} + a}\,{d x}"," ",0,"integrate((e*x^3 + d)*x/(c*x^6 + b*x^3 + a), x)","F",0
17,0,0,0,0.000000," ","integrate((e*x^3+d)/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int \frac{e x^{3} + d}{c x^{6} + b x^{3} + a}\,{d x}"," ",0,"integrate((e*x^3 + d)/(c*x^6 + b*x^3 + a), x)","F",0
18,-1,0,0,0.000000," ","integrate((e*x^3+d)/x^2/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,-1,0,0,0.000000," ","integrate((e*x^3+d)/x^3/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,1,37,0,0.988482," ","integrate(x^8*(-x^3+1)/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{6} \, x^{6} + \frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right) + \frac{1}{6} \, \log\left(x^{6} - x^{3} + 1\right)"," ",0,"-1/6*x^6 + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1)) + 1/6*log(x^6 - x^3 + 1)","A",0
21,1,24,0,0.960394," ","integrate(x^5*(-x^3+1)/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{3} \, x^{3} + \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right)"," ",0,"-1/3*x^3 + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1))","A",0
22,1,32,0,0.951144," ","integrate(x^2*(-x^3+1)/(x^6-x^3+1),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right) - \frac{1}{6} \, \log\left(x^{6} - x^{3} + 1\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1)) - 1/6*log(x^6 - x^3 + 1)","A",0
23,1,38,0,0.972621," ","integrate((-x^3+1)/x/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right) - \frac{1}{6} \, \log\left(x^{6} - x^{3} + 1\right) + \frac{1}{3} \, \log\left(x^{3}\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1)) - 1/6*log(x^6 - x^3 + 1) + 1/3*log(x^3)","A",0
24,1,24,0,0.959583," ","integrate((-x^3+1)/x^4/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right) - \frac{1}{3 \, x^{3}}"," ",0,"-2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1)) - 1/3/x^3","A",0
25,0,0,0,0.000000," ","integrate(x^6*(-x^3+1)/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{4} \, x^{4} + \int \frac{x^{3}}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-1/4*x^4 + integrate(x^3/(x^6 - x^3 + 1), x)","F",0
26,0,0,0,0.000000," ","integrate(x^4*(-x^3+1)/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} + \int \frac{x}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-1/2*x^2 + integrate(x/(x^6 - x^3 + 1), x)","F",0
27,0,0,0,0.000000," ","integrate(x^3*(-x^3+1)/(x^6-x^3+1),x, algorithm=""maxima"")","-x + \int \frac{1}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-x + integrate(1/(x^6 - x^3 + 1), x)","F",0
28,0,0,0,0.000000," ","integrate(x*(-x^3+1)/(x^6-x^3+1),x, algorithm=""maxima"")","-\int \frac{{\left(x^{3} - 1\right)} x}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-integrate((x^3 - 1)*x/(x^6 - x^3 + 1), x)","F",0
29,0,0,0,0.000000," ","integrate((-x^3+1)/(x^6-x^3+1),x, algorithm=""maxima"")","-\int \frac{x^{3} - 1}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-integrate((x^3 - 1)/(x^6 - x^3 + 1), x)","F",0
30,0,0,0,0.000000," ","integrate((-x^3+1)/x^2/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{x} - \int \frac{x^{4}}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-1/x - integrate(x^4/(x^6 - x^3 + 1), x)","F",0
31,0,0,0,0.000000," ","integrate((-x^3+1)/x^3/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}} - \int \frac{x^{3}}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-1/2/x^2 - integrate(x^3/(x^6 - x^3 + 1), x)","F",0
32,1,32,0,0.977249," ","integrate(x^2*(x^3-2)/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right) + \frac{1}{6} \, \log\left(x^{6} - x^{3} + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1)) + 1/6*log(x^6 - x^3 + 1)","A",0
33,1,38,0,0.988639," ","integrate((x^3+1)/x/(x^6-x^3+1),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right) - \frac{1}{6} \, \log\left(x^{6} - x^{3} + 1\right) + \frac{1}{3} \, \log\left(x^{3}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1)) - 1/6*log(x^6 - x^3 + 1) + 1/3*log(x^3)","A",0
34,0,0,0,0.000000," ","integrate((x^3+1)/(x^7-x^4+x),x, algorithm=""maxima"")","-\int \frac{x^{5} - 2 \, x^{2}}{x^{6} - x^{3} + 1}\,{d x} + \log\left(x\right)"," ",0,"-integrate((x^5 - 2*x^2)/(x^6 - x^3 + 1), x) + log(x)","F",0
35,0,0,0,0.000000," ","integrate((e*x^3+d)^(5/2)*(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)} {\left(e x^{3} + d\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)*(e*x^3 + d)^(5/2), x)","F",0
36,0,0,0,0.000000," ","integrate((e*x^3+d)^(3/2)*(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)} {\left(e x^{3} + d\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)*(e*x^3 + d)^(3/2), x)","F",0
37,0,0,0,0.000000," ","integrate((e*x^3+d)^(1/2)*(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)} \sqrt{e x^{3} + d}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)*sqrt(e*x^3 + d), x)","F",0
38,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)/(e*x^3+d)^(1/2),x, algorithm=""maxima"")","\int \frac{c x^{6} + b x^{3} + a}{\sqrt{e x^{3} + d}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)/sqrt(e*x^3 + d), x)","F",0
39,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)/(e*x^3+d)^(3/2),x, algorithm=""maxima"")","\int \frac{c x^{6} + b x^{3} + a}{{\left(e x^{3} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)/(e*x^3 + d)^(3/2), x)","F",0
40,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)/(e*x^3+d)^(5/2),x, algorithm=""maxima"")","\int \frac{c x^{6} + b x^{3} + a}{{\left(e x^{3} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)/(e*x^3 + d)^(5/2), x)","F",0
41,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)/(e*x^3+d)^(7/2),x, algorithm=""maxima"")","\int \frac{c x^{6} + b x^{3} + a}{{\left(e x^{3} + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)/(e*x^3 + d)^(7/2), x)","F",0
42,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)/(e*x^3+d)^(9/2),x, algorithm=""maxima"")","\int \frac{c x^{6} + b x^{3} + a}{{\left(e x^{3} + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)/(e*x^3 + d)^(9/2), x)","F",0
43,0,0,0,0.000000," ","integrate(x^4*(e*x^4+d)/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\frac{e x}{c} - \frac{-\int \frac{{\left(c d - b e\right)} x^{4} - a e}{c x^{8} + b x^{4} + a}\,{d x}}{c}"," ",0,"e*x/c - integrate(-((c*d - b*e)*x^4 - a*e)/(c*x^8 + b*x^4 + a), x)/c","F",0
44,-2,0,0,0.000000," ","integrate(x^3*(e*x^4+d)/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
45,0,0,0,0.000000," ","integrate(x^2*(e*x^4+d)/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{4} + d\right)} x^{2}}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate((e*x^4 + d)*x^2/(c*x^8 + b*x^4 + a), x)","F",0
46,0,0,0,0.000000," ","integrate(x*(e*x^4+d)/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{4} + d\right)} x}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate((e*x^4 + d)*x/(c*x^8 + b*x^4 + a), x)","F",0
47,0,0,0,0.000000," ","integrate((e*x^4+d)/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{e x^{4} + d}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate((e*x^4 + d)/(c*x^8 + b*x^4 + a), x)","F",0
48,-2,0,0,0.000000," ","integrate((e*x^4+d)/x/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
49,-1,0,0,0.000000," ","integrate((e*x^4+d)/x^2/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,0,0,0,0.000000," ","integrate((e*x^4+d)/x^3/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","-\frac{\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 2 \, b^{5} c + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 16 \, a b^{3} c^{2} + 2 \, b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 32 \, a^{2} b c^{3} - 12 \, a b^{2} c^{3} + 16 \, a^{2} c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c - 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} + 4 \, {\left(b^{2} - 4 \, a c\right)} a c^{3}\right)} d - {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, a b^{4} c + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + 16 \, a^{2} b^{2} c^{2} + 2 \, a b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} - 32 \, a^{3} c^{3} - 8 \, a^{2} b c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2}\right)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x^{2}}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{8 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c} + \frac{{\left({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 2 \, b^{5} c + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 16 \, a b^{3} c^{2} - 2 \, b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 32 \, a^{2} b c^{3} + 12 \, a b^{2} c^{3} - 16 \, a^{2} c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c + 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} - 4 \, {\left(b^{2} - 4 \, a c\right)} a c^{3}\right)} d - {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 2 \, a b^{4} c + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 16 \, a^{2} b^{2} c^{2} - 2 \, a b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 32 \, a^{3} c^{3} + 8 \, a^{2} b c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2}\right)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x^{2}}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{8 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c}}{a} - \frac{d}{2 \, a x^{2}}"," ",0,"-integrate((c*d*x^4 + b*d - a*e)*x/(c*x^8 + b*x^4 + a), x)/a - 1/2*d/(a*x^2)","F",0
51,-1,0,0,0.000000," ","integrate((e*x^4+d)/x^4/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,0,0,0,0.000000," ","integrate(x^4*(-x^4+1)/(x^8-x^4+1),x, algorithm=""maxima"")","-x + \int \frac{1}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-x + integrate(1/(x^8 - x^4 + 1), x)","F",0
53,1,32,0,1.507441," ","integrate(x^3*(-x^4+1)/(x^8-x^4+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) - \frac{1}{8} \, \log\left(x^{8} - x^{4} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) - 1/8*log(x^8 - x^4 + 1)","A",0
54,0,0,0,0.000000," ","integrate(x^2*(-x^4+1)/(x^8-x^4+1),x, algorithm=""maxima"")","-\int \frac{{\left(x^{4} - 1\right)} x^{2}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-integrate((x^4 - 1)*x^2/(x^8 - x^4 + 1), x)","F",0
55,0,0,0,0.000000," ","integrate(x*(-x^4+1)/(x^8-x^4+1),x, algorithm=""maxima"")","-\int \frac{{\left(x^{4} - 1\right)} x}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-integrate((x^4 - 1)*x/(x^8 - x^4 + 1), x)","F",0
56,0,0,0,0.000000," ","integrate((-x^4+1)/(x^8-x^4+1),x, algorithm=""maxima"")","-\int \frac{x^{4} - 1}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-integrate((x^4 - 1)/(x^8 - x^4 + 1), x)","F",0
57,1,38,0,0.965070," ","integrate((-x^4+1)/x/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) - \frac{1}{8} \, \log\left(x^{8} - x^{4} + 1\right) + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) - 1/8*log(x^8 - x^4 + 1) + 1/4*log(x^4)","A",0
58,0,0,0,0.000000," ","integrate((-x^4+1)/x^2/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{1}{x} - \int \frac{x^{6}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-1/x - integrate(x^6/(x^8 - x^4 + 1), x)","F",0
59,0,0,0,0.000000," ","integrate((-x^4+1)/x^3/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}} - \int \frac{x^{5}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-1/2/x^2 - integrate(x^5/(x^8 - x^4 + 1), x)","F",0
60,0,0,0,0.000000," ","integrate((-x^4+1)/x^4/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{1}{3 \, x^{3}} - \int \frac{x^{4}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-1/3/x^3 - integrate(x^4/(x^8 - x^4 + 1), x)","F",0
61,-2,0,0,0.000000," ","integrate(x^3/(a+c/x^2+b/x)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
62,-2,0,0,0.000000," ","integrate(x^2/(a+c/x^2+b/x)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
63,-2,0,0,0.000000," ","integrate(x/(a+c/x^2+b/x)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
64,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
65,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
66,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x^2/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
67,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x^3/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
68,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x^4/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
69,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x^5/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
70,-2,0,0,0.000000," ","integrate(x^3/(a+c/x^2+b/x)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
71,-2,0,0,0.000000," ","integrate(x^2/(a+c/x^2+b/x)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
72,-2,0,0,0.000000," ","integrate(x/(a+c/x^2+b/x)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
73,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
74,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
75,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x^2/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
76,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x^3/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
77,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x^4/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
78,-2,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)/x^5/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
79,0,0,0,0.000000," ","integrate(x^4*(a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \sqrt{e x + d} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}} x^{4}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*sqrt(a + b/x + c/x^2)*x^4, x)","F",0
80,0,0,0,0.000000," ","integrate(x^3*(a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \sqrt{e x + d} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}} x^{3}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*sqrt(a + b/x + c/x^2)*x^3, x)","F",0
81,0,0,0,0.000000," ","integrate(x^2*(a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \sqrt{e x + d} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}} x^{2}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*sqrt(a + b/x + c/x^2)*x^2, x)","F",0
82,0,0,0,0.000000," ","integrate(x*(a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \sqrt{e x + d} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}} x\,{d x}"," ",0,"integrate(sqrt(e*x + d)*sqrt(a + b/x + c/x^2)*x, x)","F",0
83,0,0,0,0.000000," ","integrate((a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x, algorithm=""maxima"")","\int \sqrt{e x + d} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*sqrt(a + b/x + c/x^2), x)","F",0
84,0,0,0,0.000000," ","integrate((a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}}}{x}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*sqrt(a + b/x + c/x^2)/x, x)","F",0
85,0,0,0,0.000000," ","integrate((a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{e x + d} \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*sqrt(a + b/x + c/x^2)/x^2, x)","F",0
86,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)^q*(a+c*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(c x^{2 \, n} + a\right)}^{p} {\left(e x^{n} + d\right)}^{q} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((c*x^(2*n) + a)^p*(e*x^n + d)^q*(f*x)^m, x)","F",0
87,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)^3*(a+c*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(e x^{n} + d\right)}^{3} {\left(c x^{2 \, n} + a\right)}^{p} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((e*x^n + d)^3*(c*x^(2*n) + a)^p*(f*x)^m, x)","F",0
88,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)^2*(a+c*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(e x^{n} + d\right)}^{2} {\left(c x^{2 \, n} + a\right)}^{p} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((e*x^n + d)^2*(c*x^(2*n) + a)^p*(f*x)^m, x)","F",0
89,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)*(a+c*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(e x^{n} + d\right)} {\left(c x^{2 \, n} + a\right)}^{p} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((e*x^n + d)*(c*x^(2*n) + a)^p*(f*x)^m, x)","F",0
90,0,0,0,0.000000," ","integrate((f*x)^m*(a+c*x^(2*n))^p/(d+e*x^n),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2 \, n} + a\right)}^{p} \left(f x\right)^{m}}{e x^{n} + d}\,{d x}"," ",0,"integrate((c*x^(2*n) + a)^p*(f*x)^m/(e*x^n + d), x)","F",0
91,0,0,0,0.000000," ","integrate((f*x)^m*(a+c*x^(2*n))^p/(d+e*x^n)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2 \, n} + a\right)}^{p} \left(f x\right)^{m}}{{\left(e x^{n} + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^(2*n) + a)^p*(f*x)^m/(e*x^n + d)^2, x)","F",0
92,0,0,0,0.000000," ","integrate((f*x)^m*(a+c*x^(2*n))^p/(d+e*x^n)^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2 \, n} + a\right)}^{p} \left(f x\right)^{m}}{{\left(e x^{n} + d\right)}^{3}}\,{d x}"," ",0,"integrate((c*x^(2*n) + a)^p*(f*x)^m/(e*x^n + d)^3, x)","F",0
93,1,14,0,0.429639," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^13,x, algorithm=""maxima"")","\frac{1}{14} \, {\left(c x^{2} + b x + a\right)}^{14}"," ",0,"1/14*(c*x^2 + b*x + a)^14","A",0
94,1,1240,0,0.489640," ","integrate(x*(2*c*x^2+b)*(c*x^4+b*x^2+a)^13,x, algorithm=""maxima"")","\frac{1}{28} \, c^{14} x^{56} + \frac{1}{2} \, b c^{13} x^{54} + \frac{1}{4} \, {\left(13 \, b^{2} c^{12} + 2 \, a c^{13}\right)} x^{52} + \frac{13}{2} \, {\left(2 \, b^{3} c^{11} + a b c^{12}\right)} x^{50} + \frac{13}{4} \, {\left(11 \, b^{4} c^{10} + 12 \, a b^{2} c^{11} + a^{2} c^{12}\right)} x^{48} + \frac{13}{2} \, {\left(11 \, b^{5} c^{9} + 22 \, a b^{3} c^{10} + 6 \, a^{2} b c^{11}\right)} x^{46} + \frac{13}{4} \, {\left(33 \, b^{6} c^{8} + 110 \, a b^{4} c^{9} + 66 \, a^{2} b^{2} c^{10} + 4 \, a^{3} c^{11}\right)} x^{44} + \frac{143}{14} \, {\left(12 \, b^{7} c^{7} + 63 \, a b^{5} c^{8} + 70 \, a^{2} b^{3} c^{9} + 14 \, a^{3} b c^{10}\right)} x^{42} + \frac{143}{4} \, {\left(3 \, b^{8} c^{6} + 24 \, a b^{6} c^{7} + 45 \, a^{2} b^{4} c^{8} + 20 \, a^{3} b^{2} c^{9} + a^{4} c^{10}\right)} x^{40} + \frac{143}{2} \, {\left(b^{9} c^{5} + 12 \, a b^{7} c^{6} + 36 \, a^{2} b^{5} c^{7} + 30 \, a^{3} b^{3} c^{8} + 5 \, a^{4} b c^{9}\right)} x^{38} + \frac{143}{4} \, {\left(b^{10} c^{4} + 18 \, a b^{8} c^{5} + 84 \, a^{2} b^{6} c^{6} + 120 \, a^{3} b^{4} c^{7} + 45 \, a^{4} b^{2} c^{8} + 2 \, a^{5} c^{9}\right)} x^{36} + \frac{13}{2} \, {\left(2 \, b^{11} c^{3} + 55 \, a b^{9} c^{4} + 396 \, a^{2} b^{7} c^{5} + 924 \, a^{3} b^{5} c^{6} + 660 \, a^{4} b^{3} c^{7} + 99 \, a^{5} b c^{8}\right)} x^{34} + \frac{13}{4} \, {\left(b^{12} c^{2} + 44 \, a b^{10} c^{3} + 495 \, a^{2} b^{8} c^{4} + 1848 \, a^{3} b^{6} c^{5} + 2310 \, a^{4} b^{4} c^{6} + 792 \, a^{5} b^{2} c^{7} + 33 \, a^{6} c^{8}\right)} x^{32} + \frac{1}{2} \, {\left(b^{13} c + 78 \, a b^{11} c^{2} + 1430 \, a^{2} b^{9} c^{3} + 8580 \, a^{3} b^{7} c^{4} + 18018 \, a^{4} b^{5} c^{5} + 12012 \, a^{5} b^{3} c^{6} + 1716 \, a^{6} b c^{7}\right)} x^{30} + \frac{1}{28} \, {\left(b^{14} + 182 \, a b^{12} c + 6006 \, a^{2} b^{10} c^{2} + 60060 \, a^{3} b^{8} c^{3} + 210210 \, a^{4} b^{6} c^{4} + 252252 \, a^{5} b^{4} c^{5} + 84084 \, a^{6} b^{2} c^{6} + 3432 \, a^{7} c^{7}\right)} x^{28} + \frac{1}{2} \, {\left(a b^{13} + 78 \, a^{2} b^{11} c + 1430 \, a^{3} b^{9} c^{2} + 8580 \, a^{4} b^{7} c^{3} + 18018 \, a^{5} b^{5} c^{4} + 12012 \, a^{6} b^{3} c^{5} + 1716 \, a^{7} b c^{6}\right)} x^{26} + \frac{13}{4} \, {\left(a^{2} b^{12} + 44 \, a^{3} b^{10} c + 495 \, a^{4} b^{8} c^{2} + 1848 \, a^{5} b^{6} c^{3} + 2310 \, a^{6} b^{4} c^{4} + 792 \, a^{7} b^{2} c^{5} + 33 \, a^{8} c^{6}\right)} x^{24} + \frac{13}{2} \, {\left(2 \, a^{3} b^{11} + 55 \, a^{4} b^{9} c + 396 \, a^{5} b^{7} c^{2} + 924 \, a^{6} b^{5} c^{3} + 660 \, a^{7} b^{3} c^{4} + 99 \, a^{8} b c^{5}\right)} x^{22} + \frac{143}{4} \, {\left(a^{4} b^{10} + 18 \, a^{5} b^{8} c + 84 \, a^{6} b^{6} c^{2} + 120 \, a^{7} b^{4} c^{3} + 45 \, a^{8} b^{2} c^{4} + 2 \, a^{9} c^{5}\right)} x^{20} + \frac{143}{2} \, {\left(a^{5} b^{9} + 12 \, a^{6} b^{7} c + 36 \, a^{7} b^{5} c^{2} + 30 \, a^{8} b^{3} c^{3} + 5 \, a^{9} b c^{4}\right)} x^{18} + \frac{143}{4} \, {\left(3 \, a^{6} b^{8} + 24 \, a^{7} b^{6} c + 45 \, a^{8} b^{4} c^{2} + 20 \, a^{9} b^{2} c^{3} + a^{10} c^{4}\right)} x^{16} + \frac{1}{2} \, a^{13} b x^{2} + \frac{143}{14} \, {\left(12 \, a^{7} b^{7} + 63 \, a^{8} b^{5} c + 70 \, a^{9} b^{3} c^{2} + 14 \, a^{10} b c^{3}\right)} x^{14} + \frac{13}{4} \, {\left(33 \, a^{8} b^{6} + 110 \, a^{9} b^{4} c + 66 \, a^{10} b^{2} c^{2} + 4 \, a^{11} c^{3}\right)} x^{12} + \frac{13}{2} \, {\left(11 \, a^{9} b^{5} + 22 \, a^{10} b^{3} c + 6 \, a^{11} b c^{2}\right)} x^{10} + \frac{13}{4} \, {\left(11 \, a^{10} b^{4} + 12 \, a^{11} b^{2} c + a^{12} c^{2}\right)} x^{8} + \frac{13}{2} \, {\left(2 \, a^{11} b^{3} + a^{12} b c\right)} x^{6} + \frac{1}{4} \, {\left(13 \, a^{12} b^{2} + 2 \, a^{13} c\right)} x^{4}"," ",0,"1/28*c^14*x^56 + 1/2*b*c^13*x^54 + 1/4*(13*b^2*c^12 + 2*a*c^13)*x^52 + 13/2*(2*b^3*c^11 + a*b*c^12)*x^50 + 13/4*(11*b^4*c^10 + 12*a*b^2*c^11 + a^2*c^12)*x^48 + 13/2*(11*b^5*c^9 + 22*a*b^3*c^10 + 6*a^2*b*c^11)*x^46 + 13/4*(33*b^6*c^8 + 110*a*b^4*c^9 + 66*a^2*b^2*c^10 + 4*a^3*c^11)*x^44 + 143/14*(12*b^7*c^7 + 63*a*b^5*c^8 + 70*a^2*b^3*c^9 + 14*a^3*b*c^10)*x^42 + 143/4*(3*b^8*c^6 + 24*a*b^6*c^7 + 45*a^2*b^4*c^8 + 20*a^3*b^2*c^9 + a^4*c^10)*x^40 + 143/2*(b^9*c^5 + 12*a*b^7*c^6 + 36*a^2*b^5*c^7 + 30*a^3*b^3*c^8 + 5*a^4*b*c^9)*x^38 + 143/4*(b^10*c^4 + 18*a*b^8*c^5 + 84*a^2*b^6*c^6 + 120*a^3*b^4*c^7 + 45*a^4*b^2*c^8 + 2*a^5*c^9)*x^36 + 13/2*(2*b^11*c^3 + 55*a*b^9*c^4 + 396*a^2*b^7*c^5 + 924*a^3*b^5*c^6 + 660*a^4*b^3*c^7 + 99*a^5*b*c^8)*x^34 + 13/4*(b^12*c^2 + 44*a*b^10*c^3 + 495*a^2*b^8*c^4 + 1848*a^3*b^6*c^5 + 2310*a^4*b^4*c^6 + 792*a^5*b^2*c^7 + 33*a^6*c^8)*x^32 + 1/2*(b^13*c + 78*a*b^11*c^2 + 1430*a^2*b^9*c^3 + 8580*a^3*b^7*c^4 + 18018*a^4*b^5*c^5 + 12012*a^5*b^3*c^6 + 1716*a^6*b*c^7)*x^30 + 1/28*(b^14 + 182*a*b^12*c + 6006*a^2*b^10*c^2 + 60060*a^3*b^8*c^3 + 210210*a^4*b^6*c^4 + 252252*a^5*b^4*c^5 + 84084*a^6*b^2*c^6 + 3432*a^7*c^7)*x^28 + 1/2*(a*b^13 + 78*a^2*b^11*c + 1430*a^3*b^9*c^2 + 8580*a^4*b^7*c^3 + 18018*a^5*b^5*c^4 + 12012*a^6*b^3*c^5 + 1716*a^7*b*c^6)*x^26 + 13/4*(a^2*b^12 + 44*a^3*b^10*c + 495*a^4*b^8*c^2 + 1848*a^5*b^6*c^3 + 2310*a^6*b^4*c^4 + 792*a^7*b^2*c^5 + 33*a^8*c^6)*x^24 + 13/2*(2*a^3*b^11 + 55*a^4*b^9*c + 396*a^5*b^7*c^2 + 924*a^6*b^5*c^3 + 660*a^7*b^3*c^4 + 99*a^8*b*c^5)*x^22 + 143/4*(a^4*b^10 + 18*a^5*b^8*c + 84*a^6*b^6*c^2 + 120*a^7*b^4*c^3 + 45*a^8*b^2*c^4 + 2*a^9*c^5)*x^20 + 143/2*(a^5*b^9 + 12*a^6*b^7*c + 36*a^7*b^5*c^2 + 30*a^8*b^3*c^3 + 5*a^9*b*c^4)*x^18 + 143/4*(3*a^6*b^8 + 24*a^7*b^6*c + 45*a^8*b^4*c^2 + 20*a^9*b^2*c^3 + a^10*c^4)*x^16 + 1/2*a^13*b*x^2 + 143/14*(12*a^7*b^7 + 63*a^8*b^5*c + 70*a^9*b^3*c^2 + 14*a^10*b*c^3)*x^14 + 13/4*(33*a^8*b^6 + 110*a^9*b^4*c + 66*a^10*b^2*c^2 + 4*a^11*c^3)*x^12 + 13/2*(11*a^9*b^5 + 22*a^10*b^3*c + 6*a^11*b*c^2)*x^10 + 13/4*(11*a^10*b^4 + 12*a^11*b^2*c + a^12*c^2)*x^8 + 13/2*(2*a^11*b^3 + a^12*b*c)*x^6 + 1/4*(13*a^12*b^2 + 2*a^13*c)*x^4","B",0
95,1,1240,0,0.545524," ","integrate(x^2*(2*c*x^3+b)*(c*x^6+b*x^3+a)^13,x, algorithm=""maxima"")","\frac{1}{42} \, c^{14} x^{84} + \frac{1}{3} \, b c^{13} x^{81} + \frac{1}{6} \, {\left(13 \, b^{2} c^{12} + 2 \, a c^{13}\right)} x^{78} + \frac{13}{3} \, {\left(2 \, b^{3} c^{11} + a b c^{12}\right)} x^{75} + \frac{13}{6} \, {\left(11 \, b^{4} c^{10} + 12 \, a b^{2} c^{11} + a^{2} c^{12}\right)} x^{72} + \frac{13}{3} \, {\left(11 \, b^{5} c^{9} + 22 \, a b^{3} c^{10} + 6 \, a^{2} b c^{11}\right)} x^{69} + \frac{13}{6} \, {\left(33 \, b^{6} c^{8} + 110 \, a b^{4} c^{9} + 66 \, a^{2} b^{2} c^{10} + 4 \, a^{3} c^{11}\right)} x^{66} + \frac{143}{21} \, {\left(12 \, b^{7} c^{7} + 63 \, a b^{5} c^{8} + 70 \, a^{2} b^{3} c^{9} + 14 \, a^{3} b c^{10}\right)} x^{63} + \frac{143}{6} \, {\left(3 \, b^{8} c^{6} + 24 \, a b^{6} c^{7} + 45 \, a^{2} b^{4} c^{8} + 20 \, a^{3} b^{2} c^{9} + a^{4} c^{10}\right)} x^{60} + \frac{143}{3} \, {\left(b^{9} c^{5} + 12 \, a b^{7} c^{6} + 36 \, a^{2} b^{5} c^{7} + 30 \, a^{3} b^{3} c^{8} + 5 \, a^{4} b c^{9}\right)} x^{57} + \frac{143}{6} \, {\left(b^{10} c^{4} + 18 \, a b^{8} c^{5} + 84 \, a^{2} b^{6} c^{6} + 120 \, a^{3} b^{4} c^{7} + 45 \, a^{4} b^{2} c^{8} + 2 \, a^{5} c^{9}\right)} x^{54} + \frac{13}{3} \, {\left(2 \, b^{11} c^{3} + 55 \, a b^{9} c^{4} + 396 \, a^{2} b^{7} c^{5} + 924 \, a^{3} b^{5} c^{6} + 660 \, a^{4} b^{3} c^{7} + 99 \, a^{5} b c^{8}\right)} x^{51} + \frac{13}{6} \, {\left(b^{12} c^{2} + 44 \, a b^{10} c^{3} + 495 \, a^{2} b^{8} c^{4} + 1848 \, a^{3} b^{6} c^{5} + 2310 \, a^{4} b^{4} c^{6} + 792 \, a^{5} b^{2} c^{7} + 33 \, a^{6} c^{8}\right)} x^{48} + \frac{1}{3} \, {\left(b^{13} c + 78 \, a b^{11} c^{2} + 1430 \, a^{2} b^{9} c^{3} + 8580 \, a^{3} b^{7} c^{4} + 18018 \, a^{4} b^{5} c^{5} + 12012 \, a^{5} b^{3} c^{6} + 1716 \, a^{6} b c^{7}\right)} x^{45} + \frac{1}{42} \, {\left(b^{14} + 182 \, a b^{12} c + 6006 \, a^{2} b^{10} c^{2} + 60060 \, a^{3} b^{8} c^{3} + 210210 \, a^{4} b^{6} c^{4} + 252252 \, a^{5} b^{4} c^{5} + 84084 \, a^{6} b^{2} c^{6} + 3432 \, a^{7} c^{7}\right)} x^{42} + \frac{1}{3} \, {\left(a b^{13} + 78 \, a^{2} b^{11} c + 1430 \, a^{3} b^{9} c^{2} + 8580 \, a^{4} b^{7} c^{3} + 18018 \, a^{5} b^{5} c^{4} + 12012 \, a^{6} b^{3} c^{5} + 1716 \, a^{7} b c^{6}\right)} x^{39} + \frac{13}{6} \, {\left(a^{2} b^{12} + 44 \, a^{3} b^{10} c + 495 \, a^{4} b^{8} c^{2} + 1848 \, a^{5} b^{6} c^{3} + 2310 \, a^{6} b^{4} c^{4} + 792 \, a^{7} b^{2} c^{5} + 33 \, a^{8} c^{6}\right)} x^{36} + \frac{13}{3} \, {\left(2 \, a^{3} b^{11} + 55 \, a^{4} b^{9} c + 396 \, a^{5} b^{7} c^{2} + 924 \, a^{6} b^{5} c^{3} + 660 \, a^{7} b^{3} c^{4} + 99 \, a^{8} b c^{5}\right)} x^{33} + \frac{143}{6} \, {\left(a^{4} b^{10} + 18 \, a^{5} b^{8} c + 84 \, a^{6} b^{6} c^{2} + 120 \, a^{7} b^{4} c^{3} + 45 \, a^{8} b^{2} c^{4} + 2 \, a^{9} c^{5}\right)} x^{30} + \frac{143}{3} \, {\left(a^{5} b^{9} + 12 \, a^{6} b^{7} c + 36 \, a^{7} b^{5} c^{2} + 30 \, a^{8} b^{3} c^{3} + 5 \, a^{9} b c^{4}\right)} x^{27} + \frac{143}{6} \, {\left(3 \, a^{6} b^{8} + 24 \, a^{7} b^{6} c + 45 \, a^{8} b^{4} c^{2} + 20 \, a^{9} b^{2} c^{3} + a^{10} c^{4}\right)} x^{24} + \frac{143}{21} \, {\left(12 \, a^{7} b^{7} + 63 \, a^{8} b^{5} c + 70 \, a^{9} b^{3} c^{2} + 14 \, a^{10} b c^{3}\right)} x^{21} + \frac{13}{6} \, {\left(33 \, a^{8} b^{6} + 110 \, a^{9} b^{4} c + 66 \, a^{10} b^{2} c^{2} + 4 \, a^{11} c^{3}\right)} x^{18} + \frac{1}{3} \, a^{13} b x^{3} + \frac{13}{3} \, {\left(11 \, a^{9} b^{5} + 22 \, a^{10} b^{3} c + 6 \, a^{11} b c^{2}\right)} x^{15} + \frac{13}{6} \, {\left(11 \, a^{10} b^{4} + 12 \, a^{11} b^{2} c + a^{12} c^{2}\right)} x^{12} + \frac{13}{3} \, {\left(2 \, a^{11} b^{3} + a^{12} b c\right)} x^{9} + \frac{1}{6} \, {\left(13 \, a^{12} b^{2} + 2 \, a^{13} c\right)} x^{6}"," ",0,"1/42*c^14*x^84 + 1/3*b*c^13*x^81 + 1/6*(13*b^2*c^12 + 2*a*c^13)*x^78 + 13/3*(2*b^3*c^11 + a*b*c^12)*x^75 + 13/6*(11*b^4*c^10 + 12*a*b^2*c^11 + a^2*c^12)*x^72 + 13/3*(11*b^5*c^9 + 22*a*b^3*c^10 + 6*a^2*b*c^11)*x^69 + 13/6*(33*b^6*c^8 + 110*a*b^4*c^9 + 66*a^2*b^2*c^10 + 4*a^3*c^11)*x^66 + 143/21*(12*b^7*c^7 + 63*a*b^5*c^8 + 70*a^2*b^3*c^9 + 14*a^3*b*c^10)*x^63 + 143/6*(3*b^8*c^6 + 24*a*b^6*c^7 + 45*a^2*b^4*c^8 + 20*a^3*b^2*c^9 + a^4*c^10)*x^60 + 143/3*(b^9*c^5 + 12*a*b^7*c^6 + 36*a^2*b^5*c^7 + 30*a^3*b^3*c^8 + 5*a^4*b*c^9)*x^57 + 143/6*(b^10*c^4 + 18*a*b^8*c^5 + 84*a^2*b^6*c^6 + 120*a^3*b^4*c^7 + 45*a^4*b^2*c^8 + 2*a^5*c^9)*x^54 + 13/3*(2*b^11*c^3 + 55*a*b^9*c^4 + 396*a^2*b^7*c^5 + 924*a^3*b^5*c^6 + 660*a^4*b^3*c^7 + 99*a^5*b*c^8)*x^51 + 13/6*(b^12*c^2 + 44*a*b^10*c^3 + 495*a^2*b^8*c^4 + 1848*a^3*b^6*c^5 + 2310*a^4*b^4*c^6 + 792*a^5*b^2*c^7 + 33*a^6*c^8)*x^48 + 1/3*(b^13*c + 78*a*b^11*c^2 + 1430*a^2*b^9*c^3 + 8580*a^3*b^7*c^4 + 18018*a^4*b^5*c^5 + 12012*a^5*b^3*c^6 + 1716*a^6*b*c^7)*x^45 + 1/42*(b^14 + 182*a*b^12*c + 6006*a^2*b^10*c^2 + 60060*a^3*b^8*c^3 + 210210*a^4*b^6*c^4 + 252252*a^5*b^4*c^5 + 84084*a^6*b^2*c^6 + 3432*a^7*c^7)*x^42 + 1/3*(a*b^13 + 78*a^2*b^11*c + 1430*a^3*b^9*c^2 + 8580*a^4*b^7*c^3 + 18018*a^5*b^5*c^4 + 12012*a^6*b^3*c^5 + 1716*a^7*b*c^6)*x^39 + 13/6*(a^2*b^12 + 44*a^3*b^10*c + 495*a^4*b^8*c^2 + 1848*a^5*b^6*c^3 + 2310*a^6*b^4*c^4 + 792*a^7*b^2*c^5 + 33*a^8*c^6)*x^36 + 13/3*(2*a^3*b^11 + 55*a^4*b^9*c + 396*a^5*b^7*c^2 + 924*a^6*b^5*c^3 + 660*a^7*b^3*c^4 + 99*a^8*b*c^5)*x^33 + 143/6*(a^4*b^10 + 18*a^5*b^8*c + 84*a^6*b^6*c^2 + 120*a^7*b^4*c^3 + 45*a^8*b^2*c^4 + 2*a^9*c^5)*x^30 + 143/3*(a^5*b^9 + 12*a^6*b^7*c + 36*a^7*b^5*c^2 + 30*a^8*b^3*c^3 + 5*a^9*b*c^4)*x^27 + 143/6*(3*a^6*b^8 + 24*a^7*b^6*c + 45*a^8*b^4*c^2 + 20*a^9*b^2*c^3 + a^10*c^4)*x^24 + 143/21*(12*a^7*b^7 + 63*a^8*b^5*c + 70*a^9*b^3*c^2 + 14*a^10*b*c^3)*x^21 + 13/6*(33*a^8*b^6 + 110*a^9*b^4*c + 66*a^10*b^2*c^2 + 4*a^11*c^3)*x^18 + 1/3*a^13*b*x^3 + 13/3*(11*a^9*b^5 + 22*a^10*b^3*c + 6*a^11*b*c^2)*x^15 + 13/6*(11*a^10*b^4 + 12*a^11*b^2*c + a^12*c^2)*x^12 + 13/3*(2*a^11*b^3 + a^12*b*c)*x^9 + 1/6*(13*a^12*b^2 + 2*a^13*c)*x^6","B",0
96,1,2041,0,0.857132," ","integrate(x^(-1+n)*(b+2*c*x^n)*(a+b*x^n+c*x^(2*n))^13,x, algorithm=""maxima"")","\frac{c^{14} x^{28 \, n}}{14 \, n} + \frac{b c^{13} x^{27 \, n}}{n} + \frac{13 \, b^{2} c^{12} x^{26 \, n}}{2 \, n} + \frac{a c^{13} x^{26 \, n}}{n} + \frac{26 \, b^{3} c^{11} x^{25 \, n}}{n} + \frac{13 \, a b c^{12} x^{25 \, n}}{n} + \frac{143 \, b^{4} c^{10} x^{24 \, n}}{2 \, n} + \frac{78 \, a b^{2} c^{11} x^{24 \, n}}{n} + \frac{13 \, a^{2} c^{12} x^{24 \, n}}{2 \, n} + \frac{143 \, b^{5} c^{9} x^{23 \, n}}{n} + \frac{286 \, a b^{3} c^{10} x^{23 \, n}}{n} + \frac{78 \, a^{2} b c^{11} x^{23 \, n}}{n} + \frac{429 \, b^{6} c^{8} x^{22 \, n}}{2 \, n} + \frac{715 \, a b^{4} c^{9} x^{22 \, n}}{n} + \frac{429 \, a^{2} b^{2} c^{10} x^{22 \, n}}{n} + \frac{26 \, a^{3} c^{11} x^{22 \, n}}{n} + \frac{1716 \, b^{7} c^{7} x^{21 \, n}}{7 \, n} + \frac{1287 \, a b^{5} c^{8} x^{21 \, n}}{n} + \frac{1430 \, a^{2} b^{3} c^{9} x^{21 \, n}}{n} + \frac{286 \, a^{3} b c^{10} x^{21 \, n}}{n} + \frac{429 \, b^{8} c^{6} x^{20 \, n}}{2 \, n} + \frac{1716 \, a b^{6} c^{7} x^{20 \, n}}{n} + \frac{6435 \, a^{2} b^{4} c^{8} x^{20 \, n}}{2 \, n} + \frac{1430 \, a^{3} b^{2} c^{9} x^{20 \, n}}{n} + \frac{143 \, a^{4} c^{10} x^{20 \, n}}{2 \, n} + \frac{143 \, b^{9} c^{5} x^{19 \, n}}{n} + \frac{1716 \, a b^{7} c^{6} x^{19 \, n}}{n} + \frac{5148 \, a^{2} b^{5} c^{7} x^{19 \, n}}{n} + \frac{4290 \, a^{3} b^{3} c^{8} x^{19 \, n}}{n} + \frac{715 \, a^{4} b c^{9} x^{19 \, n}}{n} + \frac{143 \, b^{10} c^{4} x^{18 \, n}}{2 \, n} + \frac{1287 \, a b^{8} c^{5} x^{18 \, n}}{n} + \frac{6006 \, a^{2} b^{6} c^{6} x^{18 \, n}}{n} + \frac{8580 \, a^{3} b^{4} c^{7} x^{18 \, n}}{n} + \frac{6435 \, a^{4} b^{2} c^{8} x^{18 \, n}}{2 \, n} + \frac{143 \, a^{5} c^{9} x^{18 \, n}}{n} + \frac{26 \, b^{11} c^{3} x^{17 \, n}}{n} + \frac{715 \, a b^{9} c^{4} x^{17 \, n}}{n} + \frac{5148 \, a^{2} b^{7} c^{5} x^{17 \, n}}{n} + \frac{12012 \, a^{3} b^{5} c^{6} x^{17 \, n}}{n} + \frac{8580 \, a^{4} b^{3} c^{7} x^{17 \, n}}{n} + \frac{1287 \, a^{5} b c^{8} x^{17 \, n}}{n} + \frac{13 \, b^{12} c^{2} x^{16 \, n}}{2 \, n} + \frac{286 \, a b^{10} c^{3} x^{16 \, n}}{n} + \frac{6435 \, a^{2} b^{8} c^{4} x^{16 \, n}}{2 \, n} + \frac{12012 \, a^{3} b^{6} c^{5} x^{16 \, n}}{n} + \frac{15015 \, a^{4} b^{4} c^{6} x^{16 \, n}}{n} + \frac{5148 \, a^{5} b^{2} c^{7} x^{16 \, n}}{n} + \frac{429 \, a^{6} c^{8} x^{16 \, n}}{2 \, n} + \frac{b^{13} c x^{15 \, n}}{n} + \frac{78 \, a b^{11} c^{2} x^{15 \, n}}{n} + \frac{1430 \, a^{2} b^{9} c^{3} x^{15 \, n}}{n} + \frac{8580 \, a^{3} b^{7} c^{4} x^{15 \, n}}{n} + \frac{18018 \, a^{4} b^{5} c^{5} x^{15 \, n}}{n} + \frac{12012 \, a^{5} b^{3} c^{6} x^{15 \, n}}{n} + \frac{1716 \, a^{6} b c^{7} x^{15 \, n}}{n} + \frac{b^{14} x^{14 \, n}}{14 \, n} + \frac{13 \, a b^{12} c x^{14 \, n}}{n} + \frac{429 \, a^{2} b^{10} c^{2} x^{14 \, n}}{n} + \frac{4290 \, a^{3} b^{8} c^{3} x^{14 \, n}}{n} + \frac{15015 \, a^{4} b^{6} c^{4} x^{14 \, n}}{n} + \frac{18018 \, a^{5} b^{4} c^{5} x^{14 \, n}}{n} + \frac{6006 \, a^{6} b^{2} c^{6} x^{14 \, n}}{n} + \frac{1716 \, a^{7} c^{7} x^{14 \, n}}{7 \, n} + \frac{a b^{13} x^{13 \, n}}{n} + \frac{78 \, a^{2} b^{11} c x^{13 \, n}}{n} + \frac{1430 \, a^{3} b^{9} c^{2} x^{13 \, n}}{n} + \frac{8580 \, a^{4} b^{7} c^{3} x^{13 \, n}}{n} + \frac{18018 \, a^{5} b^{5} c^{4} x^{13 \, n}}{n} + \frac{12012 \, a^{6} b^{3} c^{5} x^{13 \, n}}{n} + \frac{1716 \, a^{7} b c^{6} x^{13 \, n}}{n} + \frac{13 \, a^{2} b^{12} x^{12 \, n}}{2 \, n} + \frac{286 \, a^{3} b^{10} c x^{12 \, n}}{n} + \frac{6435 \, a^{4} b^{8} c^{2} x^{12 \, n}}{2 \, n} + \frac{12012 \, a^{5} b^{6} c^{3} x^{12 \, n}}{n} + \frac{15015 \, a^{6} b^{4} c^{4} x^{12 \, n}}{n} + \frac{5148 \, a^{7} b^{2} c^{5} x^{12 \, n}}{n} + \frac{429 \, a^{8} c^{6} x^{12 \, n}}{2 \, n} + \frac{26 \, a^{3} b^{11} x^{11 \, n}}{n} + \frac{715 \, a^{4} b^{9} c x^{11 \, n}}{n} + \frac{5148 \, a^{5} b^{7} c^{2} x^{11 \, n}}{n} + \frac{12012 \, a^{6} b^{5} c^{3} x^{11 \, n}}{n} + \frac{8580 \, a^{7} b^{3} c^{4} x^{11 \, n}}{n} + \frac{1287 \, a^{8} b c^{5} x^{11 \, n}}{n} + \frac{143 \, a^{4} b^{10} x^{10 \, n}}{2 \, n} + \frac{1287 \, a^{5} b^{8} c x^{10 \, n}}{n} + \frac{6006 \, a^{6} b^{6} c^{2} x^{10 \, n}}{n} + \frac{8580 \, a^{7} b^{4} c^{3} x^{10 \, n}}{n} + \frac{6435 \, a^{8} b^{2} c^{4} x^{10 \, n}}{2 \, n} + \frac{143 \, a^{9} c^{5} x^{10 \, n}}{n} + \frac{143 \, a^{5} b^{9} x^{9 \, n}}{n} + \frac{1716 \, a^{6} b^{7} c x^{9 \, n}}{n} + \frac{5148 \, a^{7} b^{5} c^{2} x^{9 \, n}}{n} + \frac{4290 \, a^{8} b^{3} c^{3} x^{9 \, n}}{n} + \frac{715 \, a^{9} b c^{4} x^{9 \, n}}{n} + \frac{429 \, a^{6} b^{8} x^{8 \, n}}{2 \, n} + \frac{1716 \, a^{7} b^{6} c x^{8 \, n}}{n} + \frac{6435 \, a^{8} b^{4} c^{2} x^{8 \, n}}{2 \, n} + \frac{1430 \, a^{9} b^{2} c^{3} x^{8 \, n}}{n} + \frac{143 \, a^{10} c^{4} x^{8 \, n}}{2 \, n} + \frac{1716 \, a^{7} b^{7} x^{7 \, n}}{7 \, n} + \frac{1287 \, a^{8} b^{5} c x^{7 \, n}}{n} + \frac{1430 \, a^{9} b^{3} c^{2} x^{7 \, n}}{n} + \frac{286 \, a^{10} b c^{3} x^{7 \, n}}{n} + \frac{429 \, a^{8} b^{6} x^{6 \, n}}{2 \, n} + \frac{715 \, a^{9} b^{4} c x^{6 \, n}}{n} + \frac{429 \, a^{10} b^{2} c^{2} x^{6 \, n}}{n} + \frac{26 \, a^{11} c^{3} x^{6 \, n}}{n} + \frac{143 \, a^{9} b^{5} x^{5 \, n}}{n} + \frac{286 \, a^{10} b^{3} c x^{5 \, n}}{n} + \frac{78 \, a^{11} b c^{2} x^{5 \, n}}{n} + \frac{143 \, a^{10} b^{4} x^{4 \, n}}{2 \, n} + \frac{78 \, a^{11} b^{2} c x^{4 \, n}}{n} + \frac{13 \, a^{12} c^{2} x^{4 \, n}}{2 \, n} + \frac{26 \, a^{11} b^{3} x^{3 \, n}}{n} + \frac{13 \, a^{12} b c x^{3 \, n}}{n} + \frac{13 \, a^{12} b^{2} x^{2 \, n}}{2 \, n} + \frac{a^{13} c x^{2 \, n}}{n} + \frac{a^{13} b x^{n}}{n}"," ",0,"1/14*c^14*x^(28*n)/n + b*c^13*x^(27*n)/n + 13/2*b^2*c^12*x^(26*n)/n + a*c^13*x^(26*n)/n + 26*b^3*c^11*x^(25*n)/n + 13*a*b*c^12*x^(25*n)/n + 143/2*b^4*c^10*x^(24*n)/n + 78*a*b^2*c^11*x^(24*n)/n + 13/2*a^2*c^12*x^(24*n)/n + 143*b^5*c^9*x^(23*n)/n + 286*a*b^3*c^10*x^(23*n)/n + 78*a^2*b*c^11*x^(23*n)/n + 429/2*b^6*c^8*x^(22*n)/n + 715*a*b^4*c^9*x^(22*n)/n + 429*a^2*b^2*c^10*x^(22*n)/n + 26*a^3*c^11*x^(22*n)/n + 1716/7*b^7*c^7*x^(21*n)/n + 1287*a*b^5*c^8*x^(21*n)/n + 1430*a^2*b^3*c^9*x^(21*n)/n + 286*a^3*b*c^10*x^(21*n)/n + 429/2*b^8*c^6*x^(20*n)/n + 1716*a*b^6*c^7*x^(20*n)/n + 6435/2*a^2*b^4*c^8*x^(20*n)/n + 1430*a^3*b^2*c^9*x^(20*n)/n + 143/2*a^4*c^10*x^(20*n)/n + 143*b^9*c^5*x^(19*n)/n + 1716*a*b^7*c^6*x^(19*n)/n + 5148*a^2*b^5*c^7*x^(19*n)/n + 4290*a^3*b^3*c^8*x^(19*n)/n + 715*a^4*b*c^9*x^(19*n)/n + 143/2*b^10*c^4*x^(18*n)/n + 1287*a*b^8*c^5*x^(18*n)/n + 6006*a^2*b^6*c^6*x^(18*n)/n + 8580*a^3*b^4*c^7*x^(18*n)/n + 6435/2*a^4*b^2*c^8*x^(18*n)/n + 143*a^5*c^9*x^(18*n)/n + 26*b^11*c^3*x^(17*n)/n + 715*a*b^9*c^4*x^(17*n)/n + 5148*a^2*b^7*c^5*x^(17*n)/n + 12012*a^3*b^5*c^6*x^(17*n)/n + 8580*a^4*b^3*c^7*x^(17*n)/n + 1287*a^5*b*c^8*x^(17*n)/n + 13/2*b^12*c^2*x^(16*n)/n + 286*a*b^10*c^3*x^(16*n)/n + 6435/2*a^2*b^8*c^4*x^(16*n)/n + 12012*a^3*b^6*c^5*x^(16*n)/n + 15015*a^4*b^4*c^6*x^(16*n)/n + 5148*a^5*b^2*c^7*x^(16*n)/n + 429/2*a^6*c^8*x^(16*n)/n + b^13*c*x^(15*n)/n + 78*a*b^11*c^2*x^(15*n)/n + 1430*a^2*b^9*c^3*x^(15*n)/n + 8580*a^3*b^7*c^4*x^(15*n)/n + 18018*a^4*b^5*c^5*x^(15*n)/n + 12012*a^5*b^3*c^6*x^(15*n)/n + 1716*a^6*b*c^7*x^(15*n)/n + 1/14*b^14*x^(14*n)/n + 13*a*b^12*c*x^(14*n)/n + 429*a^2*b^10*c^2*x^(14*n)/n + 4290*a^3*b^8*c^3*x^(14*n)/n + 15015*a^4*b^6*c^4*x^(14*n)/n + 18018*a^5*b^4*c^5*x^(14*n)/n + 6006*a^6*b^2*c^6*x^(14*n)/n + 1716/7*a^7*c^7*x^(14*n)/n + a*b^13*x^(13*n)/n + 78*a^2*b^11*c*x^(13*n)/n + 1430*a^3*b^9*c^2*x^(13*n)/n + 8580*a^4*b^7*c^3*x^(13*n)/n + 18018*a^5*b^5*c^4*x^(13*n)/n + 12012*a^6*b^3*c^5*x^(13*n)/n + 1716*a^7*b*c^6*x^(13*n)/n + 13/2*a^2*b^12*x^(12*n)/n + 286*a^3*b^10*c*x^(12*n)/n + 6435/2*a^4*b^8*c^2*x^(12*n)/n + 12012*a^5*b^6*c^3*x^(12*n)/n + 15015*a^6*b^4*c^4*x^(12*n)/n + 5148*a^7*b^2*c^5*x^(12*n)/n + 429/2*a^8*c^6*x^(12*n)/n + 26*a^3*b^11*x^(11*n)/n + 715*a^4*b^9*c*x^(11*n)/n + 5148*a^5*b^7*c^2*x^(11*n)/n + 12012*a^6*b^5*c^3*x^(11*n)/n + 8580*a^7*b^3*c^4*x^(11*n)/n + 1287*a^8*b*c^5*x^(11*n)/n + 143/2*a^4*b^10*x^(10*n)/n + 1287*a^5*b^8*c*x^(10*n)/n + 6006*a^6*b^6*c^2*x^(10*n)/n + 8580*a^7*b^4*c^3*x^(10*n)/n + 6435/2*a^8*b^2*c^4*x^(10*n)/n + 143*a^9*c^5*x^(10*n)/n + 143*a^5*b^9*x^(9*n)/n + 1716*a^6*b^7*c*x^(9*n)/n + 5148*a^7*b^5*c^2*x^(9*n)/n + 4290*a^8*b^3*c^3*x^(9*n)/n + 715*a^9*b*c^4*x^(9*n)/n + 429/2*a^6*b^8*x^(8*n)/n + 1716*a^7*b^6*c*x^(8*n)/n + 6435/2*a^8*b^4*c^2*x^(8*n)/n + 1430*a^9*b^2*c^3*x^(8*n)/n + 143/2*a^10*c^4*x^(8*n)/n + 1716/7*a^7*b^7*x^(7*n)/n + 1287*a^8*b^5*c*x^(7*n)/n + 1430*a^9*b^3*c^2*x^(7*n)/n + 286*a^10*b*c^3*x^(7*n)/n + 429/2*a^8*b^6*x^(6*n)/n + 715*a^9*b^4*c*x^(6*n)/n + 429*a^10*b^2*c^2*x^(6*n)/n + 26*a^11*c^3*x^(6*n)/n + 143*a^9*b^5*x^(5*n)/n + 286*a^10*b^3*c*x^(5*n)/n + 78*a^11*b*c^2*x^(5*n)/n + 143/2*a^10*b^4*x^(4*n)/n + 78*a^11*b^2*c*x^(4*n)/n + 13/2*a^12*c^2*x^(4*n)/n + 26*a^11*b^3*x^(3*n)/n + 13*a^12*b*c*x^(3*n)/n + 13/2*a^12*b^2*x^(2*n)/n + a^13*c*x^(2*n)/n + a^13*b*x^n/n","B",0
97,1,16,0,0.444012," ","integrate((2*c*x+b)*(c*x^2+b*x-a)^13,x, algorithm=""maxima"")","\frac{1}{14} \, {\left(c x^{2} + b x - a\right)}^{14}"," ",0,"1/14*(c*x^2 + b*x - a)^14","A",0
98,1,1242,0,0.524803," ","integrate(x*(2*c*x^2+b)*(c*x^4+b*x^2-a)^13,x, algorithm=""maxima"")","\frac{1}{28} \, c^{14} x^{56} + \frac{1}{2} \, b c^{13} x^{54} + \frac{1}{4} \, {\left(13 \, b^{2} c^{12} - 2 \, a c^{13}\right)} x^{52} + \frac{13}{2} \, {\left(2 \, b^{3} c^{11} - a b c^{12}\right)} x^{50} + \frac{13}{4} \, {\left(11 \, b^{4} c^{10} - 12 \, a b^{2} c^{11} + a^{2} c^{12}\right)} x^{48} + \frac{13}{2} \, {\left(11 \, b^{5} c^{9} - 22 \, a b^{3} c^{10} + 6 \, a^{2} b c^{11}\right)} x^{46} + \frac{13}{4} \, {\left(33 \, b^{6} c^{8} - 110 \, a b^{4} c^{9} + 66 \, a^{2} b^{2} c^{10} - 4 \, a^{3} c^{11}\right)} x^{44} + \frac{143}{14} \, {\left(12 \, b^{7} c^{7} - 63 \, a b^{5} c^{8} + 70 \, a^{2} b^{3} c^{9} - 14 \, a^{3} b c^{10}\right)} x^{42} + \frac{143}{4} \, {\left(3 \, b^{8} c^{6} - 24 \, a b^{6} c^{7} + 45 \, a^{2} b^{4} c^{8} - 20 \, a^{3} b^{2} c^{9} + a^{4} c^{10}\right)} x^{40} + \frac{143}{2} \, {\left(b^{9} c^{5} - 12 \, a b^{7} c^{6} + 36 \, a^{2} b^{5} c^{7} - 30 \, a^{3} b^{3} c^{8} + 5 \, a^{4} b c^{9}\right)} x^{38} + \frac{143}{4} \, {\left(b^{10} c^{4} - 18 \, a b^{8} c^{5} + 84 \, a^{2} b^{6} c^{6} - 120 \, a^{3} b^{4} c^{7} + 45 \, a^{4} b^{2} c^{8} - 2 \, a^{5} c^{9}\right)} x^{36} + \frac{13}{2} \, {\left(2 \, b^{11} c^{3} - 55 \, a b^{9} c^{4} + 396 \, a^{2} b^{7} c^{5} - 924 \, a^{3} b^{5} c^{6} + 660 \, a^{4} b^{3} c^{7} - 99 \, a^{5} b c^{8}\right)} x^{34} + \frac{13}{4} \, {\left(b^{12} c^{2} - 44 \, a b^{10} c^{3} + 495 \, a^{2} b^{8} c^{4} - 1848 \, a^{3} b^{6} c^{5} + 2310 \, a^{4} b^{4} c^{6} - 792 \, a^{5} b^{2} c^{7} + 33 \, a^{6} c^{8}\right)} x^{32} + \frac{1}{2} \, {\left(b^{13} c - 78 \, a b^{11} c^{2} + 1430 \, a^{2} b^{9} c^{3} - 8580 \, a^{3} b^{7} c^{4} + 18018 \, a^{4} b^{5} c^{5} - 12012 \, a^{5} b^{3} c^{6} + 1716 \, a^{6} b c^{7}\right)} x^{30} + \frac{1}{28} \, {\left(b^{14} - 182 \, a b^{12} c + 6006 \, a^{2} b^{10} c^{2} - 60060 \, a^{3} b^{8} c^{3} + 210210 \, a^{4} b^{6} c^{4} - 252252 \, a^{5} b^{4} c^{5} + 84084 \, a^{6} b^{2} c^{6} - 3432 \, a^{7} c^{7}\right)} x^{28} - \frac{1}{2} \, {\left(a b^{13} - 78 \, a^{2} b^{11} c + 1430 \, a^{3} b^{9} c^{2} - 8580 \, a^{4} b^{7} c^{3} + 18018 \, a^{5} b^{5} c^{4} - 12012 \, a^{6} b^{3} c^{5} + 1716 \, a^{7} b c^{6}\right)} x^{26} + \frac{13}{4} \, {\left(a^{2} b^{12} - 44 \, a^{3} b^{10} c + 495 \, a^{4} b^{8} c^{2} - 1848 \, a^{5} b^{6} c^{3} + 2310 \, a^{6} b^{4} c^{4} - 792 \, a^{7} b^{2} c^{5} + 33 \, a^{8} c^{6}\right)} x^{24} - \frac{13}{2} \, {\left(2 \, a^{3} b^{11} - 55 \, a^{4} b^{9} c + 396 \, a^{5} b^{7} c^{2} - 924 \, a^{6} b^{5} c^{3} + 660 \, a^{7} b^{3} c^{4} - 99 \, a^{8} b c^{5}\right)} x^{22} + \frac{143}{4} \, {\left(a^{4} b^{10} - 18 \, a^{5} b^{8} c + 84 \, a^{6} b^{6} c^{2} - 120 \, a^{7} b^{4} c^{3} + 45 \, a^{8} b^{2} c^{4} - 2 \, a^{9} c^{5}\right)} x^{20} - \frac{143}{2} \, {\left(a^{5} b^{9} - 12 \, a^{6} b^{7} c + 36 \, a^{7} b^{5} c^{2} - 30 \, a^{8} b^{3} c^{3} + 5 \, a^{9} b c^{4}\right)} x^{18} + \frac{143}{4} \, {\left(3 \, a^{6} b^{8} - 24 \, a^{7} b^{6} c + 45 \, a^{8} b^{4} c^{2} - 20 \, a^{9} b^{2} c^{3} + a^{10} c^{4}\right)} x^{16} - \frac{1}{2} \, a^{13} b x^{2} - \frac{143}{14} \, {\left(12 \, a^{7} b^{7} - 63 \, a^{8} b^{5} c + 70 \, a^{9} b^{3} c^{2} - 14 \, a^{10} b c^{3}\right)} x^{14} + \frac{13}{4} \, {\left(33 \, a^{8} b^{6} - 110 \, a^{9} b^{4} c + 66 \, a^{10} b^{2} c^{2} - 4 \, a^{11} c^{3}\right)} x^{12} - \frac{13}{2} \, {\left(11 \, a^{9} b^{5} - 22 \, a^{10} b^{3} c + 6 \, a^{11} b c^{2}\right)} x^{10} + \frac{13}{4} \, {\left(11 \, a^{10} b^{4} - 12 \, a^{11} b^{2} c + a^{12} c^{2}\right)} x^{8} - \frac{13}{2} \, {\left(2 \, a^{11} b^{3} - a^{12} b c\right)} x^{6} + \frac{1}{4} \, {\left(13 \, a^{12} b^{2} - 2 \, a^{13} c\right)} x^{4}"," ",0,"1/28*c^14*x^56 + 1/2*b*c^13*x^54 + 1/4*(13*b^2*c^12 - 2*a*c^13)*x^52 + 13/2*(2*b^3*c^11 - a*b*c^12)*x^50 + 13/4*(11*b^4*c^10 - 12*a*b^2*c^11 + a^2*c^12)*x^48 + 13/2*(11*b^5*c^9 - 22*a*b^3*c^10 + 6*a^2*b*c^11)*x^46 + 13/4*(33*b^6*c^8 - 110*a*b^4*c^9 + 66*a^2*b^2*c^10 - 4*a^3*c^11)*x^44 + 143/14*(12*b^7*c^7 - 63*a*b^5*c^8 + 70*a^2*b^3*c^9 - 14*a^3*b*c^10)*x^42 + 143/4*(3*b^8*c^6 - 24*a*b^6*c^7 + 45*a^2*b^4*c^8 - 20*a^3*b^2*c^9 + a^4*c^10)*x^40 + 143/2*(b^9*c^5 - 12*a*b^7*c^6 + 36*a^2*b^5*c^7 - 30*a^3*b^3*c^8 + 5*a^4*b*c^9)*x^38 + 143/4*(b^10*c^4 - 18*a*b^8*c^5 + 84*a^2*b^6*c^6 - 120*a^3*b^4*c^7 + 45*a^4*b^2*c^8 - 2*a^5*c^9)*x^36 + 13/2*(2*b^11*c^3 - 55*a*b^9*c^4 + 396*a^2*b^7*c^5 - 924*a^3*b^5*c^6 + 660*a^4*b^3*c^7 - 99*a^5*b*c^8)*x^34 + 13/4*(b^12*c^2 - 44*a*b^10*c^3 + 495*a^2*b^8*c^4 - 1848*a^3*b^6*c^5 + 2310*a^4*b^4*c^6 - 792*a^5*b^2*c^7 + 33*a^6*c^8)*x^32 + 1/2*(b^13*c - 78*a*b^11*c^2 + 1430*a^2*b^9*c^3 - 8580*a^3*b^7*c^4 + 18018*a^4*b^5*c^5 - 12012*a^5*b^3*c^6 + 1716*a^6*b*c^7)*x^30 + 1/28*(b^14 - 182*a*b^12*c + 6006*a^2*b^10*c^2 - 60060*a^3*b^8*c^3 + 210210*a^4*b^6*c^4 - 252252*a^5*b^4*c^5 + 84084*a^6*b^2*c^6 - 3432*a^7*c^7)*x^28 - 1/2*(a*b^13 - 78*a^2*b^11*c + 1430*a^3*b^9*c^2 - 8580*a^4*b^7*c^3 + 18018*a^5*b^5*c^4 - 12012*a^6*b^3*c^5 + 1716*a^7*b*c^6)*x^26 + 13/4*(a^2*b^12 - 44*a^3*b^10*c + 495*a^4*b^8*c^2 - 1848*a^5*b^6*c^3 + 2310*a^6*b^4*c^4 - 792*a^7*b^2*c^5 + 33*a^8*c^6)*x^24 - 13/2*(2*a^3*b^11 - 55*a^4*b^9*c + 396*a^5*b^7*c^2 - 924*a^6*b^5*c^3 + 660*a^7*b^3*c^4 - 99*a^8*b*c^5)*x^22 + 143/4*(a^4*b^10 - 18*a^5*b^8*c + 84*a^6*b^6*c^2 - 120*a^7*b^4*c^3 + 45*a^8*b^2*c^4 - 2*a^9*c^5)*x^20 - 143/2*(a^5*b^9 - 12*a^6*b^7*c + 36*a^7*b^5*c^2 - 30*a^8*b^3*c^3 + 5*a^9*b*c^4)*x^18 + 143/4*(3*a^6*b^8 - 24*a^7*b^6*c + 45*a^8*b^4*c^2 - 20*a^9*b^2*c^3 + a^10*c^4)*x^16 - 1/2*a^13*b*x^2 - 143/14*(12*a^7*b^7 - 63*a^8*b^5*c + 70*a^9*b^3*c^2 - 14*a^10*b*c^3)*x^14 + 13/4*(33*a^8*b^6 - 110*a^9*b^4*c + 66*a^10*b^2*c^2 - 4*a^11*c^3)*x^12 - 13/2*(11*a^9*b^5 - 22*a^10*b^3*c + 6*a^11*b*c^2)*x^10 + 13/4*(11*a^10*b^4 - 12*a^11*b^2*c + a^12*c^2)*x^8 - 13/2*(2*a^11*b^3 - a^12*b*c)*x^6 + 1/4*(13*a^12*b^2 - 2*a^13*c)*x^4","B",0
99,1,1242,0,0.504641," ","integrate(x^2*(2*c*x^3+b)*(c*x^6+b*x^3-a)^13,x, algorithm=""maxima"")","\frac{1}{42} \, c^{14} x^{84} + \frac{1}{3} \, b c^{13} x^{81} + \frac{1}{6} \, {\left(13 \, b^{2} c^{12} - 2 \, a c^{13}\right)} x^{78} + \frac{13}{3} \, {\left(2 \, b^{3} c^{11} - a b c^{12}\right)} x^{75} + \frac{13}{6} \, {\left(11 \, b^{4} c^{10} - 12 \, a b^{2} c^{11} + a^{2} c^{12}\right)} x^{72} + \frac{13}{3} \, {\left(11 \, b^{5} c^{9} - 22 \, a b^{3} c^{10} + 6 \, a^{2} b c^{11}\right)} x^{69} + \frac{13}{6} \, {\left(33 \, b^{6} c^{8} - 110 \, a b^{4} c^{9} + 66 \, a^{2} b^{2} c^{10} - 4 \, a^{3} c^{11}\right)} x^{66} + \frac{143}{21} \, {\left(12 \, b^{7} c^{7} - 63 \, a b^{5} c^{8} + 70 \, a^{2} b^{3} c^{9} - 14 \, a^{3} b c^{10}\right)} x^{63} + \frac{143}{6} \, {\left(3 \, b^{8} c^{6} - 24 \, a b^{6} c^{7} + 45 \, a^{2} b^{4} c^{8} - 20 \, a^{3} b^{2} c^{9} + a^{4} c^{10}\right)} x^{60} + \frac{143}{3} \, {\left(b^{9} c^{5} - 12 \, a b^{7} c^{6} + 36 \, a^{2} b^{5} c^{7} - 30 \, a^{3} b^{3} c^{8} + 5 \, a^{4} b c^{9}\right)} x^{57} + \frac{143}{6} \, {\left(b^{10} c^{4} - 18 \, a b^{8} c^{5} + 84 \, a^{2} b^{6} c^{6} - 120 \, a^{3} b^{4} c^{7} + 45 \, a^{4} b^{2} c^{8} - 2 \, a^{5} c^{9}\right)} x^{54} + \frac{13}{3} \, {\left(2 \, b^{11} c^{3} - 55 \, a b^{9} c^{4} + 396 \, a^{2} b^{7} c^{5} - 924 \, a^{3} b^{5} c^{6} + 660 \, a^{4} b^{3} c^{7} - 99 \, a^{5} b c^{8}\right)} x^{51} + \frac{13}{6} \, {\left(b^{12} c^{2} - 44 \, a b^{10} c^{3} + 495 \, a^{2} b^{8} c^{4} - 1848 \, a^{3} b^{6} c^{5} + 2310 \, a^{4} b^{4} c^{6} - 792 \, a^{5} b^{2} c^{7} + 33 \, a^{6} c^{8}\right)} x^{48} + \frac{1}{3} \, {\left(b^{13} c - 78 \, a b^{11} c^{2} + 1430 \, a^{2} b^{9} c^{3} - 8580 \, a^{3} b^{7} c^{4} + 18018 \, a^{4} b^{5} c^{5} - 12012 \, a^{5} b^{3} c^{6} + 1716 \, a^{6} b c^{7}\right)} x^{45} + \frac{1}{42} \, {\left(b^{14} - 182 \, a b^{12} c + 6006 \, a^{2} b^{10} c^{2} - 60060 \, a^{3} b^{8} c^{3} + 210210 \, a^{4} b^{6} c^{4} - 252252 \, a^{5} b^{4} c^{5} + 84084 \, a^{6} b^{2} c^{6} - 3432 \, a^{7} c^{7}\right)} x^{42} - \frac{1}{3} \, {\left(a b^{13} - 78 \, a^{2} b^{11} c + 1430 \, a^{3} b^{9} c^{2} - 8580 \, a^{4} b^{7} c^{3} + 18018 \, a^{5} b^{5} c^{4} - 12012 \, a^{6} b^{3} c^{5} + 1716 \, a^{7} b c^{6}\right)} x^{39} + \frac{13}{6} \, {\left(a^{2} b^{12} - 44 \, a^{3} b^{10} c + 495 \, a^{4} b^{8} c^{2} - 1848 \, a^{5} b^{6} c^{3} + 2310 \, a^{6} b^{4} c^{4} - 792 \, a^{7} b^{2} c^{5} + 33 \, a^{8} c^{6}\right)} x^{36} - \frac{13}{3} \, {\left(2 \, a^{3} b^{11} - 55 \, a^{4} b^{9} c + 396 \, a^{5} b^{7} c^{2} - 924 \, a^{6} b^{5} c^{3} + 660 \, a^{7} b^{3} c^{4} - 99 \, a^{8} b c^{5}\right)} x^{33} + \frac{143}{6} \, {\left(a^{4} b^{10} - 18 \, a^{5} b^{8} c + 84 \, a^{6} b^{6} c^{2} - 120 \, a^{7} b^{4} c^{3} + 45 \, a^{8} b^{2} c^{4} - 2 \, a^{9} c^{5}\right)} x^{30} - \frac{143}{3} \, {\left(a^{5} b^{9} - 12 \, a^{6} b^{7} c + 36 \, a^{7} b^{5} c^{2} - 30 \, a^{8} b^{3} c^{3} + 5 \, a^{9} b c^{4}\right)} x^{27} + \frac{143}{6} \, {\left(3 \, a^{6} b^{8} - 24 \, a^{7} b^{6} c + 45 \, a^{8} b^{4} c^{2} - 20 \, a^{9} b^{2} c^{3} + a^{10} c^{4}\right)} x^{24} - \frac{143}{21} \, {\left(12 \, a^{7} b^{7} - 63 \, a^{8} b^{5} c + 70 \, a^{9} b^{3} c^{2} - 14 \, a^{10} b c^{3}\right)} x^{21} + \frac{13}{6} \, {\left(33 \, a^{8} b^{6} - 110 \, a^{9} b^{4} c + 66 \, a^{10} b^{2} c^{2} - 4 \, a^{11} c^{3}\right)} x^{18} - \frac{1}{3} \, a^{13} b x^{3} - \frac{13}{3} \, {\left(11 \, a^{9} b^{5} - 22 \, a^{10} b^{3} c + 6 \, a^{11} b c^{2}\right)} x^{15} + \frac{13}{6} \, {\left(11 \, a^{10} b^{4} - 12 \, a^{11} b^{2} c + a^{12} c^{2}\right)} x^{12} - \frac{13}{3} \, {\left(2 \, a^{11} b^{3} - a^{12} b c\right)} x^{9} + \frac{1}{6} \, {\left(13 \, a^{12} b^{2} - 2 \, a^{13} c\right)} x^{6}"," ",0,"1/42*c^14*x^84 + 1/3*b*c^13*x^81 + 1/6*(13*b^2*c^12 - 2*a*c^13)*x^78 + 13/3*(2*b^3*c^11 - a*b*c^12)*x^75 + 13/6*(11*b^4*c^10 - 12*a*b^2*c^11 + a^2*c^12)*x^72 + 13/3*(11*b^5*c^9 - 22*a*b^3*c^10 + 6*a^2*b*c^11)*x^69 + 13/6*(33*b^6*c^8 - 110*a*b^4*c^9 + 66*a^2*b^2*c^10 - 4*a^3*c^11)*x^66 + 143/21*(12*b^7*c^7 - 63*a*b^5*c^8 + 70*a^2*b^3*c^9 - 14*a^3*b*c^10)*x^63 + 143/6*(3*b^8*c^6 - 24*a*b^6*c^7 + 45*a^2*b^4*c^8 - 20*a^3*b^2*c^9 + a^4*c^10)*x^60 + 143/3*(b^9*c^5 - 12*a*b^7*c^6 + 36*a^2*b^5*c^7 - 30*a^3*b^3*c^8 + 5*a^4*b*c^9)*x^57 + 143/6*(b^10*c^4 - 18*a*b^8*c^5 + 84*a^2*b^6*c^6 - 120*a^3*b^4*c^7 + 45*a^4*b^2*c^8 - 2*a^5*c^9)*x^54 + 13/3*(2*b^11*c^3 - 55*a*b^9*c^4 + 396*a^2*b^7*c^5 - 924*a^3*b^5*c^6 + 660*a^4*b^3*c^7 - 99*a^5*b*c^8)*x^51 + 13/6*(b^12*c^2 - 44*a*b^10*c^3 + 495*a^2*b^8*c^4 - 1848*a^3*b^6*c^5 + 2310*a^4*b^4*c^6 - 792*a^5*b^2*c^7 + 33*a^6*c^8)*x^48 + 1/3*(b^13*c - 78*a*b^11*c^2 + 1430*a^2*b^9*c^3 - 8580*a^3*b^7*c^4 + 18018*a^4*b^5*c^5 - 12012*a^5*b^3*c^6 + 1716*a^6*b*c^7)*x^45 + 1/42*(b^14 - 182*a*b^12*c + 6006*a^2*b^10*c^2 - 60060*a^3*b^8*c^3 + 210210*a^4*b^6*c^4 - 252252*a^5*b^4*c^5 + 84084*a^6*b^2*c^6 - 3432*a^7*c^7)*x^42 - 1/3*(a*b^13 - 78*a^2*b^11*c + 1430*a^3*b^9*c^2 - 8580*a^4*b^7*c^3 + 18018*a^5*b^5*c^4 - 12012*a^6*b^3*c^5 + 1716*a^7*b*c^6)*x^39 + 13/6*(a^2*b^12 - 44*a^3*b^10*c + 495*a^4*b^8*c^2 - 1848*a^5*b^6*c^3 + 2310*a^6*b^4*c^4 - 792*a^7*b^2*c^5 + 33*a^8*c^6)*x^36 - 13/3*(2*a^3*b^11 - 55*a^4*b^9*c + 396*a^5*b^7*c^2 - 924*a^6*b^5*c^3 + 660*a^7*b^3*c^4 - 99*a^8*b*c^5)*x^33 + 143/6*(a^4*b^10 - 18*a^5*b^8*c + 84*a^6*b^6*c^2 - 120*a^7*b^4*c^3 + 45*a^8*b^2*c^4 - 2*a^9*c^5)*x^30 - 143/3*(a^5*b^9 - 12*a^6*b^7*c + 36*a^7*b^5*c^2 - 30*a^8*b^3*c^3 + 5*a^9*b*c^4)*x^27 + 143/6*(3*a^6*b^8 - 24*a^7*b^6*c + 45*a^8*b^4*c^2 - 20*a^9*b^2*c^3 + a^10*c^4)*x^24 - 143/21*(12*a^7*b^7 - 63*a^8*b^5*c + 70*a^9*b^3*c^2 - 14*a^10*b*c^3)*x^21 + 13/6*(33*a^8*b^6 - 110*a^9*b^4*c + 66*a^10*b^2*c^2 - 4*a^11*c^3)*x^18 - 1/3*a^13*b*x^3 - 13/3*(11*a^9*b^5 - 22*a^10*b^3*c + 6*a^11*b*c^2)*x^15 + 13/6*(11*a^10*b^4 - 12*a^11*b^2*c + a^12*c^2)*x^12 - 13/3*(2*a^11*b^3 - a^12*b*c)*x^9 + 1/6*(13*a^12*b^2 - 2*a^13*c)*x^6","B",0
100,1,2045,0,0.827041," ","integrate(x^(-1+n)*(b+2*c*x^n)*(-a+b*x^n+c*x^(2*n))^13,x, algorithm=""maxima"")","\frac{c^{14} x^{28 \, n}}{14 \, n} + \frac{b c^{13} x^{27 \, n}}{n} + \frac{13 \, b^{2} c^{12} x^{26 \, n}}{2 \, n} - \frac{a c^{13} x^{26 \, n}}{n} + \frac{26 \, b^{3} c^{11} x^{25 \, n}}{n} - \frac{13 \, a b c^{12} x^{25 \, n}}{n} + \frac{143 \, b^{4} c^{10} x^{24 \, n}}{2 \, n} - \frac{78 \, a b^{2} c^{11} x^{24 \, n}}{n} + \frac{13 \, a^{2} c^{12} x^{24 \, n}}{2 \, n} + \frac{143 \, b^{5} c^{9} x^{23 \, n}}{n} - \frac{286 \, a b^{3} c^{10} x^{23 \, n}}{n} + \frac{78 \, a^{2} b c^{11} x^{23 \, n}}{n} + \frac{429 \, b^{6} c^{8} x^{22 \, n}}{2 \, n} - \frac{715 \, a b^{4} c^{9} x^{22 \, n}}{n} + \frac{429 \, a^{2} b^{2} c^{10} x^{22 \, n}}{n} - \frac{26 \, a^{3} c^{11} x^{22 \, n}}{n} + \frac{1716 \, b^{7} c^{7} x^{21 \, n}}{7 \, n} - \frac{1287 \, a b^{5} c^{8} x^{21 \, n}}{n} + \frac{1430 \, a^{2} b^{3} c^{9} x^{21 \, n}}{n} - \frac{286 \, a^{3} b c^{10} x^{21 \, n}}{n} + \frac{429 \, b^{8} c^{6} x^{20 \, n}}{2 \, n} - \frac{1716 \, a b^{6} c^{7} x^{20 \, n}}{n} + \frac{6435 \, a^{2} b^{4} c^{8} x^{20 \, n}}{2 \, n} - \frac{1430 \, a^{3} b^{2} c^{9} x^{20 \, n}}{n} + \frac{143 \, a^{4} c^{10} x^{20 \, n}}{2 \, n} + \frac{143 \, b^{9} c^{5} x^{19 \, n}}{n} - \frac{1716 \, a b^{7} c^{6} x^{19 \, n}}{n} + \frac{5148 \, a^{2} b^{5} c^{7} x^{19 \, n}}{n} - \frac{4290 \, a^{3} b^{3} c^{8} x^{19 \, n}}{n} + \frac{715 \, a^{4} b c^{9} x^{19 \, n}}{n} + \frac{143 \, b^{10} c^{4} x^{18 \, n}}{2 \, n} - \frac{1287 \, a b^{8} c^{5} x^{18 \, n}}{n} + \frac{6006 \, a^{2} b^{6} c^{6} x^{18 \, n}}{n} - \frac{8580 \, a^{3} b^{4} c^{7} x^{18 \, n}}{n} + \frac{6435 \, a^{4} b^{2} c^{8} x^{18 \, n}}{2 \, n} - \frac{143 \, a^{5} c^{9} x^{18 \, n}}{n} + \frac{26 \, b^{11} c^{3} x^{17 \, n}}{n} - \frac{715 \, a b^{9} c^{4} x^{17 \, n}}{n} + \frac{5148 \, a^{2} b^{7} c^{5} x^{17 \, n}}{n} - \frac{12012 \, a^{3} b^{5} c^{6} x^{17 \, n}}{n} + \frac{8580 \, a^{4} b^{3} c^{7} x^{17 \, n}}{n} - \frac{1287 \, a^{5} b c^{8} x^{17 \, n}}{n} + \frac{13 \, b^{12} c^{2} x^{16 \, n}}{2 \, n} - \frac{286 \, a b^{10} c^{3} x^{16 \, n}}{n} + \frac{6435 \, a^{2} b^{8} c^{4} x^{16 \, n}}{2 \, n} - \frac{12012 \, a^{3} b^{6} c^{5} x^{16 \, n}}{n} + \frac{15015 \, a^{4} b^{4} c^{6} x^{16 \, n}}{n} - \frac{5148 \, a^{5} b^{2} c^{7} x^{16 \, n}}{n} + \frac{429 \, a^{6} c^{8} x^{16 \, n}}{2 \, n} + \frac{b^{13} c x^{15 \, n}}{n} - \frac{78 \, a b^{11} c^{2} x^{15 \, n}}{n} + \frac{1430 \, a^{2} b^{9} c^{3} x^{15 \, n}}{n} - \frac{8580 \, a^{3} b^{7} c^{4} x^{15 \, n}}{n} + \frac{18018 \, a^{4} b^{5} c^{5} x^{15 \, n}}{n} - \frac{12012 \, a^{5} b^{3} c^{6} x^{15 \, n}}{n} + \frac{1716 \, a^{6} b c^{7} x^{15 \, n}}{n} + \frac{b^{14} x^{14 \, n}}{14 \, n} - \frac{13 \, a b^{12} c x^{14 \, n}}{n} + \frac{429 \, a^{2} b^{10} c^{2} x^{14 \, n}}{n} - \frac{4290 \, a^{3} b^{8} c^{3} x^{14 \, n}}{n} + \frac{15015 \, a^{4} b^{6} c^{4} x^{14 \, n}}{n} - \frac{18018 \, a^{5} b^{4} c^{5} x^{14 \, n}}{n} + \frac{6006 \, a^{6} b^{2} c^{6} x^{14 \, n}}{n} - \frac{1716 \, a^{7} c^{7} x^{14 \, n}}{7 \, n} - \frac{a b^{13} x^{13 \, n}}{n} + \frac{78 \, a^{2} b^{11} c x^{13 \, n}}{n} - \frac{1430 \, a^{3} b^{9} c^{2} x^{13 \, n}}{n} + \frac{8580 \, a^{4} b^{7} c^{3} x^{13 \, n}}{n} - \frac{18018 \, a^{5} b^{5} c^{4} x^{13 \, n}}{n} + \frac{12012 \, a^{6} b^{3} c^{5} x^{13 \, n}}{n} - \frac{1716 \, a^{7} b c^{6} x^{13 \, n}}{n} + \frac{13 \, a^{2} b^{12} x^{12 \, n}}{2 \, n} - \frac{286 \, a^{3} b^{10} c x^{12 \, n}}{n} + \frac{6435 \, a^{4} b^{8} c^{2} x^{12 \, n}}{2 \, n} - \frac{12012 \, a^{5} b^{6} c^{3} x^{12 \, n}}{n} + \frac{15015 \, a^{6} b^{4} c^{4} x^{12 \, n}}{n} - \frac{5148 \, a^{7} b^{2} c^{5} x^{12 \, n}}{n} + \frac{429 \, a^{8} c^{6} x^{12 \, n}}{2 \, n} - \frac{26 \, a^{3} b^{11} x^{11 \, n}}{n} + \frac{715 \, a^{4} b^{9} c x^{11 \, n}}{n} - \frac{5148 \, a^{5} b^{7} c^{2} x^{11 \, n}}{n} + \frac{12012 \, a^{6} b^{5} c^{3} x^{11 \, n}}{n} - \frac{8580 \, a^{7} b^{3} c^{4} x^{11 \, n}}{n} + \frac{1287 \, a^{8} b c^{5} x^{11 \, n}}{n} + \frac{143 \, a^{4} b^{10} x^{10 \, n}}{2 \, n} - \frac{1287 \, a^{5} b^{8} c x^{10 \, n}}{n} + \frac{6006 \, a^{6} b^{6} c^{2} x^{10 \, n}}{n} - \frac{8580 \, a^{7} b^{4} c^{3} x^{10 \, n}}{n} + \frac{6435 \, a^{8} b^{2} c^{4} x^{10 \, n}}{2 \, n} - \frac{143 \, a^{9} c^{5} x^{10 \, n}}{n} - \frac{143 \, a^{5} b^{9} x^{9 \, n}}{n} + \frac{1716 \, a^{6} b^{7} c x^{9 \, n}}{n} - \frac{5148 \, a^{7} b^{5} c^{2} x^{9 \, n}}{n} + \frac{4290 \, a^{8} b^{3} c^{3} x^{9 \, n}}{n} - \frac{715 \, a^{9} b c^{4} x^{9 \, n}}{n} + \frac{429 \, a^{6} b^{8} x^{8 \, n}}{2 \, n} - \frac{1716 \, a^{7} b^{6} c x^{8 \, n}}{n} + \frac{6435 \, a^{8} b^{4} c^{2} x^{8 \, n}}{2 \, n} - \frac{1430 \, a^{9} b^{2} c^{3} x^{8 \, n}}{n} + \frac{143 \, a^{10} c^{4} x^{8 \, n}}{2 \, n} - \frac{1716 \, a^{7} b^{7} x^{7 \, n}}{7 \, n} + \frac{1287 \, a^{8} b^{5} c x^{7 \, n}}{n} - \frac{1430 \, a^{9} b^{3} c^{2} x^{7 \, n}}{n} + \frac{286 \, a^{10} b c^{3} x^{7 \, n}}{n} + \frac{429 \, a^{8} b^{6} x^{6 \, n}}{2 \, n} - \frac{715 \, a^{9} b^{4} c x^{6 \, n}}{n} + \frac{429 \, a^{10} b^{2} c^{2} x^{6 \, n}}{n} - \frac{26 \, a^{11} c^{3} x^{6 \, n}}{n} - \frac{143 \, a^{9} b^{5} x^{5 \, n}}{n} + \frac{286 \, a^{10} b^{3} c x^{5 \, n}}{n} - \frac{78 \, a^{11} b c^{2} x^{5 \, n}}{n} + \frac{143 \, a^{10} b^{4} x^{4 \, n}}{2 \, n} - \frac{78 \, a^{11} b^{2} c x^{4 \, n}}{n} + \frac{13 \, a^{12} c^{2} x^{4 \, n}}{2 \, n} - \frac{26 \, a^{11} b^{3} x^{3 \, n}}{n} + \frac{13 \, a^{12} b c x^{3 \, n}}{n} + \frac{13 \, a^{12} b^{2} x^{2 \, n}}{2 \, n} - \frac{a^{13} c x^{2 \, n}}{n} - \frac{a^{13} b x^{n}}{n}"," ",0,"1/14*c^14*x^(28*n)/n + b*c^13*x^(27*n)/n + 13/2*b^2*c^12*x^(26*n)/n - a*c^13*x^(26*n)/n + 26*b^3*c^11*x^(25*n)/n - 13*a*b*c^12*x^(25*n)/n + 143/2*b^4*c^10*x^(24*n)/n - 78*a*b^2*c^11*x^(24*n)/n + 13/2*a^2*c^12*x^(24*n)/n + 143*b^5*c^9*x^(23*n)/n - 286*a*b^3*c^10*x^(23*n)/n + 78*a^2*b*c^11*x^(23*n)/n + 429/2*b^6*c^8*x^(22*n)/n - 715*a*b^4*c^9*x^(22*n)/n + 429*a^2*b^2*c^10*x^(22*n)/n - 26*a^3*c^11*x^(22*n)/n + 1716/7*b^7*c^7*x^(21*n)/n - 1287*a*b^5*c^8*x^(21*n)/n + 1430*a^2*b^3*c^9*x^(21*n)/n - 286*a^3*b*c^10*x^(21*n)/n + 429/2*b^8*c^6*x^(20*n)/n - 1716*a*b^6*c^7*x^(20*n)/n + 6435/2*a^2*b^4*c^8*x^(20*n)/n - 1430*a^3*b^2*c^9*x^(20*n)/n + 143/2*a^4*c^10*x^(20*n)/n + 143*b^9*c^5*x^(19*n)/n - 1716*a*b^7*c^6*x^(19*n)/n + 5148*a^2*b^5*c^7*x^(19*n)/n - 4290*a^3*b^3*c^8*x^(19*n)/n + 715*a^4*b*c^9*x^(19*n)/n + 143/2*b^10*c^4*x^(18*n)/n - 1287*a*b^8*c^5*x^(18*n)/n + 6006*a^2*b^6*c^6*x^(18*n)/n - 8580*a^3*b^4*c^7*x^(18*n)/n + 6435/2*a^4*b^2*c^8*x^(18*n)/n - 143*a^5*c^9*x^(18*n)/n + 26*b^11*c^3*x^(17*n)/n - 715*a*b^9*c^4*x^(17*n)/n + 5148*a^2*b^7*c^5*x^(17*n)/n - 12012*a^3*b^5*c^6*x^(17*n)/n + 8580*a^4*b^3*c^7*x^(17*n)/n - 1287*a^5*b*c^8*x^(17*n)/n + 13/2*b^12*c^2*x^(16*n)/n - 286*a*b^10*c^3*x^(16*n)/n + 6435/2*a^2*b^8*c^4*x^(16*n)/n - 12012*a^3*b^6*c^5*x^(16*n)/n + 15015*a^4*b^4*c^6*x^(16*n)/n - 5148*a^5*b^2*c^7*x^(16*n)/n + 429/2*a^6*c^8*x^(16*n)/n + b^13*c*x^(15*n)/n - 78*a*b^11*c^2*x^(15*n)/n + 1430*a^2*b^9*c^3*x^(15*n)/n - 8580*a^3*b^7*c^4*x^(15*n)/n + 18018*a^4*b^5*c^5*x^(15*n)/n - 12012*a^5*b^3*c^6*x^(15*n)/n + 1716*a^6*b*c^7*x^(15*n)/n + 1/14*b^14*x^(14*n)/n - 13*a*b^12*c*x^(14*n)/n + 429*a^2*b^10*c^2*x^(14*n)/n - 4290*a^3*b^8*c^3*x^(14*n)/n + 15015*a^4*b^6*c^4*x^(14*n)/n - 18018*a^5*b^4*c^5*x^(14*n)/n + 6006*a^6*b^2*c^6*x^(14*n)/n - 1716/7*a^7*c^7*x^(14*n)/n - a*b^13*x^(13*n)/n + 78*a^2*b^11*c*x^(13*n)/n - 1430*a^3*b^9*c^2*x^(13*n)/n + 8580*a^4*b^7*c^3*x^(13*n)/n - 18018*a^5*b^5*c^4*x^(13*n)/n + 12012*a^6*b^3*c^5*x^(13*n)/n - 1716*a^7*b*c^6*x^(13*n)/n + 13/2*a^2*b^12*x^(12*n)/n - 286*a^3*b^10*c*x^(12*n)/n + 6435/2*a^4*b^8*c^2*x^(12*n)/n - 12012*a^5*b^6*c^3*x^(12*n)/n + 15015*a^6*b^4*c^4*x^(12*n)/n - 5148*a^7*b^2*c^5*x^(12*n)/n + 429/2*a^8*c^6*x^(12*n)/n - 26*a^3*b^11*x^(11*n)/n + 715*a^4*b^9*c*x^(11*n)/n - 5148*a^5*b^7*c^2*x^(11*n)/n + 12012*a^6*b^5*c^3*x^(11*n)/n - 8580*a^7*b^3*c^4*x^(11*n)/n + 1287*a^8*b*c^5*x^(11*n)/n + 143/2*a^4*b^10*x^(10*n)/n - 1287*a^5*b^8*c*x^(10*n)/n + 6006*a^6*b^6*c^2*x^(10*n)/n - 8580*a^7*b^4*c^3*x^(10*n)/n + 6435/2*a^8*b^2*c^4*x^(10*n)/n - 143*a^9*c^5*x^(10*n)/n - 143*a^5*b^9*x^(9*n)/n + 1716*a^6*b^7*c*x^(9*n)/n - 5148*a^7*b^5*c^2*x^(9*n)/n + 4290*a^8*b^3*c^3*x^(9*n)/n - 715*a^9*b*c^4*x^(9*n)/n + 429/2*a^6*b^8*x^(8*n)/n - 1716*a^7*b^6*c*x^(8*n)/n + 6435/2*a^8*b^4*c^2*x^(8*n)/n - 1430*a^9*b^2*c^3*x^(8*n)/n + 143/2*a^10*c^4*x^(8*n)/n - 1716/7*a^7*b^7*x^(7*n)/n + 1287*a^8*b^5*c*x^(7*n)/n - 1430*a^9*b^3*c^2*x^(7*n)/n + 286*a^10*b*c^3*x^(7*n)/n + 429/2*a^8*b^6*x^(6*n)/n - 715*a^9*b^4*c*x^(6*n)/n + 429*a^10*b^2*c^2*x^(6*n)/n - 26*a^11*c^3*x^(6*n)/n - 143*a^9*b^5*x^(5*n)/n + 286*a^10*b^3*c*x^(5*n)/n - 78*a^11*b*c^2*x^(5*n)/n + 143/2*a^10*b^4*x^(4*n)/n - 78*a^11*b^2*c*x^(4*n)/n + 13/2*a^12*c^2*x^(4*n)/n - 26*a^11*b^3*x^(3*n)/n + 13*a^12*b*c*x^(3*n)/n + 13/2*a^12*b^2*x^(2*n)/n - a^13*c*x^(2*n)/n - a^13*b*x^n/n","B",0
101,1,13,0,0.435025," ","integrate((2*c*x+b)*(c*x^2+b*x)^13,x, algorithm=""maxima"")","\frac{1}{14} \, {\left(c x^{2} + b x\right)}^{14}"," ",0,"1/14*(c*x^2 + b*x)^14","A",0
102,1,156,0,0.433301," ","integrate(x*(2*c*x^2+b)*(c*x^4+b*x^2)^13,x, algorithm=""maxima"")","\frac{1}{28} \, c^{14} x^{56} + \frac{1}{2} \, b c^{13} x^{54} + \frac{13}{4} \, b^{2} c^{12} x^{52} + 13 \, b^{3} c^{11} x^{50} + \frac{143}{4} \, b^{4} c^{10} x^{48} + \frac{143}{2} \, b^{5} c^{9} x^{46} + \frac{429}{4} \, b^{6} c^{8} x^{44} + \frac{858}{7} \, b^{7} c^{7} x^{42} + \frac{429}{4} \, b^{8} c^{6} x^{40} + \frac{143}{2} \, b^{9} c^{5} x^{38} + \frac{143}{4} \, b^{10} c^{4} x^{36} + 13 \, b^{11} c^{3} x^{34} + \frac{13}{4} \, b^{12} c^{2} x^{32} + \frac{1}{2} \, b^{13} c x^{30} + \frac{1}{28} \, b^{14} x^{28}"," ",0,"1/28*c^14*x^56 + 1/2*b*c^13*x^54 + 13/4*b^2*c^12*x^52 + 13*b^3*c^11*x^50 + 143/4*b^4*c^10*x^48 + 143/2*b^5*c^9*x^46 + 429/4*b^6*c^8*x^44 + 858/7*b^7*c^7*x^42 + 429/4*b^8*c^6*x^40 + 143/2*b^9*c^5*x^38 + 143/4*b^10*c^4*x^36 + 13*b^11*c^3*x^34 + 13/4*b^12*c^2*x^32 + 1/2*b^13*c*x^30 + 1/28*b^14*x^28","B",0
103,1,156,0,0.439123," ","integrate(x^2*(2*c*x^3+b)*(c*x^6+b*x^3)^13,x, algorithm=""maxima"")","\frac{1}{42} \, c^{14} x^{84} + \frac{1}{3} \, b c^{13} x^{81} + \frac{13}{6} \, b^{2} c^{12} x^{78} + \frac{26}{3} \, b^{3} c^{11} x^{75} + \frac{143}{6} \, b^{4} c^{10} x^{72} + \frac{143}{3} \, b^{5} c^{9} x^{69} + \frac{143}{2} \, b^{6} c^{8} x^{66} + \frac{572}{7} \, b^{7} c^{7} x^{63} + \frac{143}{2} \, b^{8} c^{6} x^{60} + \frac{143}{3} \, b^{9} c^{5} x^{57} + \frac{143}{6} \, b^{10} c^{4} x^{54} + \frac{26}{3} \, b^{11} c^{3} x^{51} + \frac{13}{6} \, b^{12} c^{2} x^{48} + \frac{1}{3} \, b^{13} c x^{45} + \frac{1}{42} \, b^{14} x^{42}"," ",0,"1/42*c^14*x^84 + 1/3*b*c^13*x^81 + 13/6*b^2*c^12*x^78 + 26/3*b^3*c^11*x^75 + 143/6*b^4*c^10*x^72 + 143/3*b^5*c^9*x^69 + 143/2*b^6*c^8*x^66 + 572/7*b^7*c^7*x^63 + 143/2*b^8*c^6*x^60 + 143/3*b^9*c^5*x^57 + 143/6*b^10*c^4*x^54 + 26/3*b^11*c^3*x^51 + 13/6*b^12*c^2*x^48 + 1/3*b^13*c*x^45 + 1/42*b^14*x^42","B",0
104,1,229,0,0.478310," ","integrate(x^(-1+n)*(b+2*c*x^n)*(b*x^n+c*x^(2*n))^13,x, algorithm=""maxima"")","\frac{c^{14} x^{28 \, n}}{14 \, n} + \frac{b c^{13} x^{27 \, n}}{n} + \frac{13 \, b^{2} c^{12} x^{26 \, n}}{2 \, n} + \frac{26 \, b^{3} c^{11} x^{25 \, n}}{n} + \frac{143 \, b^{4} c^{10} x^{24 \, n}}{2 \, n} + \frac{143 \, b^{5} c^{9} x^{23 \, n}}{n} + \frac{429 \, b^{6} c^{8} x^{22 \, n}}{2 \, n} + \frac{1716 \, b^{7} c^{7} x^{21 \, n}}{7 \, n} + \frac{429 \, b^{8} c^{6} x^{20 \, n}}{2 \, n} + \frac{143 \, b^{9} c^{5} x^{19 \, n}}{n} + \frac{143 \, b^{10} c^{4} x^{18 \, n}}{2 \, n} + \frac{26 \, b^{11} c^{3} x^{17 \, n}}{n} + \frac{13 \, b^{12} c^{2} x^{16 \, n}}{2 \, n} + \frac{b^{13} c x^{15 \, n}}{n} + \frac{b^{14} x^{14 \, n}}{14 \, n}"," ",0,"1/14*c^14*x^(28*n)/n + b*c^13*x^(27*n)/n + 13/2*b^2*c^12*x^(26*n)/n + 26*b^3*c^11*x^(25*n)/n + 143/2*b^4*c^10*x^(24*n)/n + 143*b^5*c^9*x^(23*n)/n + 429/2*b^6*c^8*x^(22*n)/n + 1716/7*b^7*c^7*x^(21*n)/n + 429/2*b^8*c^6*x^(20*n)/n + 143*b^9*c^5*x^(19*n)/n + 143/2*b^10*c^4*x^(18*n)/n + 26*b^11*c^3*x^(17*n)/n + 13/2*b^12*c^2*x^(16*n)/n + b^13*c*x^(15*n)/n + 1/14*b^14*x^(14*n)/n","B",0
105,1,11,0,0.446364," ","integrate((2*c*x+b)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\log\left(c x^{2} + b x + a\right)"," ",0,"log(c*x^2 + b*x + a)","A",0
106,1,15,0,0.427675," ","integrate(x*(2*c*x^2+b)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(c x^{4} + b x^{2} + a\right)"," ",0,"1/2*log(c*x^4 + b*x^2 + a)","A",0
107,1,15,0,0.438562," ","integrate(x^2*(2*c*x^3+b)/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(c x^{6} + b x^{3} + a\right)"," ",0,"1/3*log(c*x^6 + b*x^3 + a)","A",0
108,1,23,0,0.598366," ","integrate(x^(-1+n)*(b+2*c*x^n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{\log\left(\frac{c x^{2 \, n} + b x^{n} + a}{c}\right)}{n}"," ",0,"log((c*x^(2*n) + b*x^n + a)/c)/n","A",0
109,1,14,0,0.438191," ","integrate((2*c*x+b)/(c*x^2+b*x+a)^8,x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(c x^{2} + b x + a\right)}^{7}}"," ",0,"-1/7/(c*x^2 + b*x + a)^7","A",0
110,1,352,0,0.947774," ","integrate(x*(2*c*x^2+b)/(c*x^4+b*x^2+a)^8,x, algorithm=""maxima"")","-\frac{1}{14 \, {\left(c^{7} x^{28} + 7 \, b c^{6} x^{26} + 7 \, {\left(3 \, b^{2} c^{5} + a c^{6}\right)} x^{24} + 7 \, {\left(5 \, b^{3} c^{4} + 6 \, a b c^{5}\right)} x^{22} + 7 \, {\left(5 \, b^{4} c^{3} + 15 \, a b^{2} c^{4} + 3 \, a^{2} c^{5}\right)} x^{20} + 7 \, {\left(3 \, b^{5} c^{2} + 20 \, a b^{3} c^{3} + 15 \, a^{2} b c^{4}\right)} x^{18} + 7 \, {\left(b^{6} c + 15 \, a b^{4} c^{2} + 30 \, a^{2} b^{2} c^{3} + 5 \, a^{3} c^{4}\right)} x^{16} + {\left(b^{7} + 42 \, a b^{5} c + 210 \, a^{2} b^{3} c^{2} + 140 \, a^{3} b c^{3}\right)} x^{14} + 7 \, {\left(a b^{6} + 15 \, a^{2} b^{4} c + 30 \, a^{3} b^{2} c^{2} + 5 \, a^{4} c^{3}\right)} x^{12} + 7 \, {\left(3 \, a^{2} b^{5} + 20 \, a^{3} b^{3} c + 15 \, a^{4} b c^{2}\right)} x^{10} + 7 \, a^{6} b x^{2} + 7 \, {\left(5 \, a^{3} b^{4} + 15 \, a^{4} b^{2} c + 3 \, a^{5} c^{2}\right)} x^{8} + a^{7} + 7 \, {\left(5 \, a^{4} b^{3} + 6 \, a^{5} b c\right)} x^{6} + 7 \, {\left(3 \, a^{5} b^{2} + a^{6} c\right)} x^{4}\right)}}"," ",0,"-1/14/(c^7*x^28 + 7*b*c^6*x^26 + 7*(3*b^2*c^5 + a*c^6)*x^24 + 7*(5*b^3*c^4 + 6*a*b*c^5)*x^22 + 7*(5*b^4*c^3 + 15*a*b^2*c^4 + 3*a^2*c^5)*x^20 + 7*(3*b^5*c^2 + 20*a*b^3*c^3 + 15*a^2*b*c^4)*x^18 + 7*(b^6*c + 15*a*b^4*c^2 + 30*a^2*b^2*c^3 + 5*a^3*c^4)*x^16 + (b^7 + 42*a*b^5*c + 210*a^2*b^3*c^2 + 140*a^3*b*c^3)*x^14 + 7*(a*b^6 + 15*a^2*b^4*c + 30*a^3*b^2*c^2 + 5*a^4*c^3)*x^12 + 7*(3*a^2*b^5 + 20*a^3*b^3*c + 15*a^4*b*c^2)*x^10 + 7*a^6*b*x^2 + 7*(5*a^3*b^4 + 15*a^4*b^2*c + 3*a^5*c^2)*x^8 + a^7 + 7*(5*a^4*b^3 + 6*a^5*b*c)*x^6 + 7*(3*a^5*b^2 + a^6*c)*x^4)","B",0
111,1,352,0,0.954169," ","integrate(x^2*(2*c*x^3+b)/(c*x^6+b*x^3+a)^8,x, algorithm=""maxima"")","-\frac{1}{21 \, {\left(c^{7} x^{42} + 7 \, b c^{6} x^{39} + 7 \, {\left(3 \, b^{2} c^{5} + a c^{6}\right)} x^{36} + 7 \, {\left(5 \, b^{3} c^{4} + 6 \, a b c^{5}\right)} x^{33} + 7 \, {\left(5 \, b^{4} c^{3} + 15 \, a b^{2} c^{4} + 3 \, a^{2} c^{5}\right)} x^{30} + 7 \, {\left(3 \, b^{5} c^{2} + 20 \, a b^{3} c^{3} + 15 \, a^{2} b c^{4}\right)} x^{27} + 7 \, {\left(b^{6} c + 15 \, a b^{4} c^{2} + 30 \, a^{2} b^{2} c^{3} + 5 \, a^{3} c^{4}\right)} x^{24} + {\left(b^{7} + 42 \, a b^{5} c + 210 \, a^{2} b^{3} c^{2} + 140 \, a^{3} b c^{3}\right)} x^{21} + 7 \, {\left(a b^{6} + 15 \, a^{2} b^{4} c + 30 \, a^{3} b^{2} c^{2} + 5 \, a^{4} c^{3}\right)} x^{18} + 7 \, {\left(3 \, a^{2} b^{5} + 20 \, a^{3} b^{3} c + 15 \, a^{4} b c^{2}\right)} x^{15} + 7 \, {\left(5 \, a^{3} b^{4} + 15 \, a^{4} b^{2} c + 3 \, a^{5} c^{2}\right)} x^{12} + 7 \, a^{6} b x^{3} + 7 \, {\left(5 \, a^{4} b^{3} + 6 \, a^{5} b c\right)} x^{9} + a^{7} + 7 \, {\left(3 \, a^{5} b^{2} + a^{6} c\right)} x^{6}\right)}}"," ",0,"-1/21/(c^7*x^42 + 7*b*c^6*x^39 + 7*(3*b^2*c^5 + a*c^6)*x^36 + 7*(5*b^3*c^4 + 6*a*b*c^5)*x^33 + 7*(5*b^4*c^3 + 15*a*b^2*c^4 + 3*a^2*c^5)*x^30 + 7*(3*b^5*c^2 + 20*a*b^3*c^3 + 15*a^2*b*c^4)*x^27 + 7*(b^6*c + 15*a*b^4*c^2 + 30*a^2*b^2*c^3 + 5*a^3*c^4)*x^24 + (b^7 + 42*a*b^5*c + 210*a^2*b^3*c^2 + 140*a^3*b*c^3)*x^21 + 7*(a*b^6 + 15*a^2*b^4*c + 30*a^3*b^2*c^2 + 5*a^4*c^3)*x^18 + 7*(3*a^2*b^5 + 20*a^3*b^3*c + 15*a^4*b*c^2)*x^15 + 7*(5*a^3*b^4 + 15*a^4*b^2*c + 3*a^5*c^2)*x^12 + 7*a^6*b*x^3 + 7*(5*a^4*b^3 + 6*a^5*b*c)*x^9 + a^7 + 7*(3*a^5*b^2 + a^6*c)*x^6)","B",0
112,1,416,0,2.393252," ","integrate(x^(-1+n)*(b+2*c*x^n)/(a+b*x^n+c*x^(2*n))^8,x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(c^{7} n x^{14 \, n} + 7 \, b c^{6} n x^{13 \, n} + 7 \, a^{6} b n x^{n} + a^{7} n + 7 \, {\left(3 \, b^{2} c^{5} n + a c^{6} n\right)} x^{12 \, n} + 7 \, {\left(5 \, b^{3} c^{4} n + 6 \, a b c^{5} n\right)} x^{11 \, n} + 7 \, {\left(5 \, b^{4} c^{3} n + 15 \, a b^{2} c^{4} n + 3 \, a^{2} c^{5} n\right)} x^{10 \, n} + 7 \, {\left(3 \, b^{5} c^{2} n + 20 \, a b^{3} c^{3} n + 15 \, a^{2} b c^{4} n\right)} x^{9 \, n} + 7 \, {\left(b^{6} c n + 15 \, a b^{4} c^{2} n + 30 \, a^{2} b^{2} c^{3} n + 5 \, a^{3} c^{4} n\right)} x^{8 \, n} + {\left(b^{7} n + 42 \, a b^{5} c n + 210 \, a^{2} b^{3} c^{2} n + 140 \, a^{3} b c^{3} n\right)} x^{7 \, n} + 7 \, {\left(a b^{6} n + 15 \, a^{2} b^{4} c n + 30 \, a^{3} b^{2} c^{2} n + 5 \, a^{4} c^{3} n\right)} x^{6 \, n} + 7 \, {\left(3 \, a^{2} b^{5} n + 20 \, a^{3} b^{3} c n + 15 \, a^{4} b c^{2} n\right)} x^{5 \, n} + 7 \, {\left(5 \, a^{3} b^{4} n + 15 \, a^{4} b^{2} c n + 3 \, a^{5} c^{2} n\right)} x^{4 \, n} + 7 \, {\left(5 \, a^{4} b^{3} n + 6 \, a^{5} b c n\right)} x^{3 \, n} + 7 \, {\left(3 \, a^{5} b^{2} n + a^{6} c n\right)} x^{2 \, n}\right)}}"," ",0,"-1/7/(c^7*n*x^(14*n) + 7*b*c^6*n*x^(13*n) + 7*a^6*b*n*x^n + a^7*n + 7*(3*b^2*c^5*n + a*c^6*n)*x^(12*n) + 7*(5*b^3*c^4*n + 6*a*b*c^5*n)*x^(11*n) + 7*(5*b^4*c^3*n + 15*a*b^2*c^4*n + 3*a^2*c^5*n)*x^(10*n) + 7*(3*b^5*c^2*n + 20*a*b^3*c^3*n + 15*a^2*b*c^4*n)*x^(9*n) + 7*(b^6*c*n + 15*a*b^4*c^2*n + 30*a^2*b^2*c^3*n + 5*a^3*c^4*n)*x^(8*n) + (b^7*n + 42*a*b^5*c*n + 210*a^2*b^3*c^2*n + 140*a^3*b*c^3*n)*x^(7*n) + 7*(a*b^6*n + 15*a^2*b^4*c*n + 30*a^3*b^2*c^2*n + 5*a^4*c^3*n)*x^(6*n) + 7*(3*a^2*b^5*n + 20*a^3*b^3*c*n + 15*a^4*b*c^2*n)*x^(5*n) + 7*(5*a^3*b^4*n + 15*a^4*b^2*c*n + 3*a^5*c^2*n)*x^(4*n) + 7*(5*a^4*b^3*n + 6*a^5*b*c*n)*x^(3*n) + 7*(3*a^5*b^2*n + a^6*c*n)*x^(2*n))","B",0
113,1,13,0,0.435444," ","integrate((2*c*x+b)/(c*x^2+b*x-a),x, algorithm=""maxima"")","\log\left(c x^{2} + b x - a\right)"," ",0,"log(c*x^2 + b*x - a)","A",0
114,1,17,0,0.437315," ","integrate(x*(2*c*x^2+b)/(c*x^4+b*x^2-a),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(c x^{4} + b x^{2} - a\right)"," ",0,"1/2*log(c*x^4 + b*x^2 - a)","A",0
115,1,17,0,0.431312," ","integrate(x^2*(2*c*x^3+b)/(c*x^6+b*x^3-a),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(c x^{6} + b x^{3} - a\right)"," ",0,"1/3*log(c*x^6 + b*x^3 - a)","A",0
116,1,25,0,0.599298," ","integrate(x^(-1+n)*(b+2*c*x^n)/(-a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{\log\left(\frac{c x^{2 \, n} + b x^{n} - a}{c}\right)}{n}"," ",0,"log((c*x^(2*n) + b*x^n - a)/c)/n","A",0
117,1,16,0,0.427641," ","integrate((2*c*x+b)/(c*x^2+b*x-a)^8,x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(c x^{2} + b x - a\right)}^{7}}"," ",0,"-1/7/(c*x^2 + b*x - a)^7","A",0
118,1,356,0,0.967199," ","integrate(x*(2*c*x^2+b)/(c*x^4+b*x^2-a)^8,x, algorithm=""maxima"")","-\frac{1}{14 \, {\left(c^{7} x^{28} + 7 \, b c^{6} x^{26} + 7 \, {\left(3 \, b^{2} c^{5} - a c^{6}\right)} x^{24} + 7 \, {\left(5 \, b^{3} c^{4} - 6 \, a b c^{5}\right)} x^{22} + 7 \, {\left(5 \, b^{4} c^{3} - 15 \, a b^{2} c^{4} + 3 \, a^{2} c^{5}\right)} x^{20} + 7 \, {\left(3 \, b^{5} c^{2} - 20 \, a b^{3} c^{3} + 15 \, a^{2} b c^{4}\right)} x^{18} + 7 \, {\left(b^{6} c - 15 \, a b^{4} c^{2} + 30 \, a^{2} b^{2} c^{3} - 5 \, a^{3} c^{4}\right)} x^{16} + {\left(b^{7} - 42 \, a b^{5} c + 210 \, a^{2} b^{3} c^{2} - 140 \, a^{3} b c^{3}\right)} x^{14} - 7 \, {\left(a b^{6} - 15 \, a^{2} b^{4} c + 30 \, a^{3} b^{2} c^{2} - 5 \, a^{4} c^{3}\right)} x^{12} + 7 \, {\left(3 \, a^{2} b^{5} - 20 \, a^{3} b^{3} c + 15 \, a^{4} b c^{2}\right)} x^{10} + 7 \, a^{6} b x^{2} - 7 \, {\left(5 \, a^{3} b^{4} - 15 \, a^{4} b^{2} c + 3 \, a^{5} c^{2}\right)} x^{8} - a^{7} + 7 \, {\left(5 \, a^{4} b^{3} - 6 \, a^{5} b c\right)} x^{6} - 7 \, {\left(3 \, a^{5} b^{2} - a^{6} c\right)} x^{4}\right)}}"," ",0,"-1/14/(c^7*x^28 + 7*b*c^6*x^26 + 7*(3*b^2*c^5 - a*c^6)*x^24 + 7*(5*b^3*c^4 - 6*a*b*c^5)*x^22 + 7*(5*b^4*c^3 - 15*a*b^2*c^4 + 3*a^2*c^5)*x^20 + 7*(3*b^5*c^2 - 20*a*b^3*c^3 + 15*a^2*b*c^4)*x^18 + 7*(b^6*c - 15*a*b^4*c^2 + 30*a^2*b^2*c^3 - 5*a^3*c^4)*x^16 + (b^7 - 42*a*b^5*c + 210*a^2*b^3*c^2 - 140*a^3*b*c^3)*x^14 - 7*(a*b^6 - 15*a^2*b^4*c + 30*a^3*b^2*c^2 - 5*a^4*c^3)*x^12 + 7*(3*a^2*b^5 - 20*a^3*b^3*c + 15*a^4*b*c^2)*x^10 + 7*a^6*b*x^2 - 7*(5*a^3*b^4 - 15*a^4*b^2*c + 3*a^5*c^2)*x^8 - a^7 + 7*(5*a^4*b^3 - 6*a^5*b*c)*x^6 - 7*(3*a^5*b^2 - a^6*c)*x^4)","B",0
119,1,356,0,0.938413," ","integrate(x^2*(2*c*x^3+b)/(c*x^6+b*x^3-a)^8,x, algorithm=""maxima"")","-\frac{1}{21 \, {\left(c^{7} x^{42} + 7 \, b c^{6} x^{39} + 7 \, {\left(3 \, b^{2} c^{5} - a c^{6}\right)} x^{36} + 7 \, {\left(5 \, b^{3} c^{4} - 6 \, a b c^{5}\right)} x^{33} + 7 \, {\left(5 \, b^{4} c^{3} - 15 \, a b^{2} c^{4} + 3 \, a^{2} c^{5}\right)} x^{30} + 7 \, {\left(3 \, b^{5} c^{2} - 20 \, a b^{3} c^{3} + 15 \, a^{2} b c^{4}\right)} x^{27} + 7 \, {\left(b^{6} c - 15 \, a b^{4} c^{2} + 30 \, a^{2} b^{2} c^{3} - 5 \, a^{3} c^{4}\right)} x^{24} + {\left(b^{7} - 42 \, a b^{5} c + 210 \, a^{2} b^{3} c^{2} - 140 \, a^{3} b c^{3}\right)} x^{21} - 7 \, {\left(a b^{6} - 15 \, a^{2} b^{4} c + 30 \, a^{3} b^{2} c^{2} - 5 \, a^{4} c^{3}\right)} x^{18} + 7 \, {\left(3 \, a^{2} b^{5} - 20 \, a^{3} b^{3} c + 15 \, a^{4} b c^{2}\right)} x^{15} - 7 \, {\left(5 \, a^{3} b^{4} - 15 \, a^{4} b^{2} c + 3 \, a^{5} c^{2}\right)} x^{12} + 7 \, a^{6} b x^{3} + 7 \, {\left(5 \, a^{4} b^{3} - 6 \, a^{5} b c\right)} x^{9} - a^{7} - 7 \, {\left(3 \, a^{5} b^{2} - a^{6} c\right)} x^{6}\right)}}"," ",0,"-1/21/(c^7*x^42 + 7*b*c^6*x^39 + 7*(3*b^2*c^5 - a*c^6)*x^36 + 7*(5*b^3*c^4 - 6*a*b*c^5)*x^33 + 7*(5*b^4*c^3 - 15*a*b^2*c^4 + 3*a^2*c^5)*x^30 + 7*(3*b^5*c^2 - 20*a*b^3*c^3 + 15*a^2*b*c^4)*x^27 + 7*(b^6*c - 15*a*b^4*c^2 + 30*a^2*b^2*c^3 - 5*a^3*c^4)*x^24 + (b^7 - 42*a*b^5*c + 210*a^2*b^3*c^2 - 140*a^3*b*c^3)*x^21 - 7*(a*b^6 - 15*a^2*b^4*c + 30*a^3*b^2*c^2 - 5*a^4*c^3)*x^18 + 7*(3*a^2*b^5 - 20*a^3*b^3*c + 15*a^4*b*c^2)*x^15 - 7*(5*a^3*b^4 - 15*a^4*b^2*c + 3*a^5*c^2)*x^12 + 7*a^6*b*x^3 + 7*(5*a^4*b^3 - 6*a^5*b*c)*x^9 - a^7 - 7*(3*a^5*b^2 - a^6*c)*x^6)","B",0
120,1,419,0,2.422801," ","integrate(x^(-1+n)*(b+2*c*x^n)/(-a+b*x^n+c*x^(2*n))^8,x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(c^{7} n x^{14 \, n} + 7 \, b c^{6} n x^{13 \, n} + 7 \, a^{6} b n x^{n} - a^{7} n + 7 \, {\left(3 \, b^{2} c^{5} n - a c^{6} n\right)} x^{12 \, n} + 7 \, {\left(5 \, b^{3} c^{4} n - 6 \, a b c^{5} n\right)} x^{11 \, n} + 7 \, {\left(5 \, b^{4} c^{3} n - 15 \, a b^{2} c^{4} n + 3 \, a^{2} c^{5} n\right)} x^{10 \, n} + 7 \, {\left(3 \, b^{5} c^{2} n - 20 \, a b^{3} c^{3} n + 15 \, a^{2} b c^{4} n\right)} x^{9 \, n} + 7 \, {\left(b^{6} c n - 15 \, a b^{4} c^{2} n + 30 \, a^{2} b^{2} c^{3} n - 5 \, a^{3} c^{4} n\right)} x^{8 \, n} + {\left(b^{7} n - 42 \, a b^{5} c n + 210 \, a^{2} b^{3} c^{2} n - 140 \, a^{3} b c^{3} n\right)} x^{7 \, n} - 7 \, {\left(a b^{6} n - 15 \, a^{2} b^{4} c n + 30 \, a^{3} b^{2} c^{2} n - 5 \, a^{4} c^{3} n\right)} x^{6 \, n} + 7 \, {\left(3 \, a^{2} b^{5} n - 20 \, a^{3} b^{3} c n + 15 \, a^{4} b c^{2} n\right)} x^{5 \, n} - 7 \, {\left(5 \, a^{3} b^{4} n - 15 \, a^{4} b^{2} c n + 3 \, a^{5} c^{2} n\right)} x^{4 \, n} + 7 \, {\left(5 \, a^{4} b^{3} n - 6 \, a^{5} b c n\right)} x^{3 \, n} - 7 \, {\left(3 \, a^{5} b^{2} n - a^{6} c n\right)} x^{2 \, n}\right)}}"," ",0,"-1/7/(c^7*n*x^(14*n) + 7*b*c^6*n*x^(13*n) + 7*a^6*b*n*x^n - a^7*n + 7*(3*b^2*c^5*n - a*c^6*n)*x^(12*n) + 7*(5*b^3*c^4*n - 6*a*b*c^5*n)*x^(11*n) + 7*(5*b^4*c^3*n - 15*a*b^2*c^4*n + 3*a^2*c^5*n)*x^(10*n) + 7*(3*b^5*c^2*n - 20*a*b^3*c^3*n + 15*a^2*b*c^4*n)*x^(9*n) + 7*(b^6*c*n - 15*a*b^4*c^2*n + 30*a^2*b^2*c^3*n - 5*a^3*c^4*n)*x^(8*n) + (b^7*n - 42*a*b^5*c*n + 210*a^2*b^3*c^2*n - 140*a^3*b*c^3*n)*x^(7*n) - 7*(a*b^6*n - 15*a^2*b^4*c*n + 30*a^3*b^2*c^2*n - 5*a^4*c^3*n)*x^(6*n) + 7*(3*a^2*b^5*n - 20*a^3*b^3*c*n + 15*a^4*b*c^2*n)*x^(5*n) - 7*(5*a^3*b^4*n - 15*a^4*b^2*c*n + 3*a^5*c^2*n)*x^(4*n) + 7*(5*a^4*b^3*n - 6*a^5*b*c*n)*x^(3*n) - 7*(3*a^5*b^2*n - a^6*c*n)*x^(2*n))","B",0
121,1,10,0,0.440191," ","integrate((2*c*x+b)/(c*x^2+b*x),x, algorithm=""maxima"")","\log\left(c x^{2} + b x\right)"," ",0,"log(c*x^2 + b*x)","A",0
122,1,17,0,0.425864," ","integrate(x*(2*c*x^2+b)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(c x^{2} + b\right) + \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"1/2*log(c*x^2 + b) + 1/2*log(x^2)","A",0
123,1,17,0,0.426649," ","integrate(x^2*(2*c*x^3+b)/(c*x^6+b*x^3),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(c x^{3} + b\right) + \frac{1}{3} \, \log\left(x^{3}\right)"," ",0,"1/3*log(c*x^3 + b) + 1/3*log(x^3)","A",0
124,1,47,0,0.441662," ","integrate(x^(-1+n)*(b+2*c*x^n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","b {\left(\frac{\log\left(x\right)}{b} - \frac{\log\left(\frac{c x^{n} + b}{c}\right)}{b n}\right)} + \frac{2 \, \log\left(\frac{c x^{n} + b}{c}\right)}{n}"," ",0,"b*(log(x)/b - log((c*x^n + b)/c)/(b*n)) + 2*log((c*x^n + b)/c)/n","B",0
125,1,13,0,0.421688," ","integrate((2*c*x+b)/(c*x^2+b*x)^8,x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(c x^{2} + b x\right)}^{7}}"," ",0,"-1/7/(c*x^2 + b*x)^7","A",0
126,1,81,0,0.519543," ","integrate(x*(2*c*x^2+b)/(c*x^4+b*x^2)^8,x, algorithm=""maxima"")","-\frac{1}{14 \, {\left(c^{7} x^{28} + 7 \, b c^{6} x^{26} + 21 \, b^{2} c^{5} x^{24} + 35 \, b^{3} c^{4} x^{22} + 35 \, b^{4} c^{3} x^{20} + 21 \, b^{5} c^{2} x^{18} + 7 \, b^{6} c x^{16} + b^{7} x^{14}\right)}}"," ",0,"-1/14/(c^7*x^28 + 7*b*c^6*x^26 + 21*b^2*c^5*x^24 + 35*b^3*c^4*x^22 + 35*b^4*c^3*x^20 + 21*b^5*c^2*x^18 + 7*b^6*c*x^16 + b^7*x^14)","B",0
127,1,81,0,0.513862," ","integrate(x^2*(2*c*x^3+b)/(c*x^6+b*x^3)^8,x, algorithm=""maxima"")","-\frac{1}{21 \, {\left(c^{7} x^{42} + 7 \, b c^{6} x^{39} + 21 \, b^{2} c^{5} x^{36} + 35 \, b^{3} c^{4} x^{33} + 35 \, b^{4} c^{3} x^{30} + 21 \, b^{5} c^{2} x^{27} + 7 \, b^{6} c x^{24} + b^{7} x^{21}\right)}}"," ",0,"-1/21/(c^7*x^42 + 7*b*c^6*x^39 + 21*b^2*c^5*x^36 + 35*b^3*c^4*x^33 + 35*b^4*c^3*x^30 + 21*b^5*c^2*x^27 + 7*b^6*c*x^24 + b^7*x^21)","B",0
128,1,612,0,0.662997," ","integrate(x^(-1+n)*(b+2*c*x^n)/(b*x^n+c*x^(2*n))^8,x, algorithm=""maxima"")","-\frac{1}{105} \, b {\left(\frac{360360 \, c^{13} x^{13 \, n} + 2342340 \, b c^{12} x^{12 \, n} + 6426420 \, b^{2} c^{11} x^{11 \, n} + 9579570 \, b^{3} c^{10} x^{10 \, n} + 8270262 \, b^{4} c^{9} x^{9 \, n} + 4018014 \, b^{5} c^{8} x^{8 \, n} + 934362 \, b^{6} c^{7} x^{7 \, n} + 45045 \, b^{7} c^{6} x^{6 \, n} - 5005 \, b^{8} c^{5} x^{5 \, n} + 1001 \, b^{9} c^{4} x^{4 \, n} - 273 \, b^{10} c^{3} x^{3 \, n} + 91 \, b^{11} c^{2} x^{2 \, n} - 35 \, b^{12} c x^{n} + 15 \, b^{13}}{b^{14} c^{7} n x^{14 \, n} + 7 \, b^{15} c^{6} n x^{13 \, n} + 21 \, b^{16} c^{5} n x^{12 \, n} + 35 \, b^{17} c^{4} n x^{11 \, n} + 35 \, b^{18} c^{3} n x^{10 \, n} + 21 \, b^{19} c^{2} n x^{9 \, n} + 7 \, b^{20} c n x^{8 \, n} + b^{21} n x^{7 \, n}} + \frac{360360 \, c^{7} \log\left(x\right)}{b^{15}} - \frac{360360 \, c^{7} \log\left(\frac{c x^{n} + b}{c}\right)}{b^{15} n}\right)} + \frac{1}{105} \, c {\left(\frac{360360 \, c^{12} x^{12 \, n} + 2342340 \, b c^{11} x^{11 \, n} + 6426420 \, b^{2} c^{10} x^{10 \, n} + 9579570 \, b^{3} c^{9} x^{9 \, n} + 8270262 \, b^{4} c^{8} x^{8 \, n} + 4018014 \, b^{5} c^{7} x^{7 \, n} + 934362 \, b^{6} c^{6} x^{6 \, n} + 45045 \, b^{7} c^{5} x^{5 \, n} - 5005 \, b^{8} c^{4} x^{4 \, n} + 1001 \, b^{9} c^{3} x^{3 \, n} - 273 \, b^{10} c^{2} x^{2 \, n} + 91 \, b^{11} c x^{n} - 35 \, b^{12}}{b^{13} c^{7} n x^{13 \, n} + 7 \, b^{14} c^{6} n x^{12 \, n} + 21 \, b^{15} c^{5} n x^{11 \, n} + 35 \, b^{16} c^{4} n x^{10 \, n} + 35 \, b^{17} c^{3} n x^{9 \, n} + 21 \, b^{18} c^{2} n x^{8 \, n} + 7 \, b^{19} c n x^{7 \, n} + b^{20} n x^{6 \, n}} + \frac{360360 \, c^{6} \log\left(x\right)}{b^{14}} - \frac{360360 \, c^{6} \log\left(\frac{c x^{n} + b}{c}\right)}{b^{14} n}\right)}"," ",0,"-1/105*b*((360360*c^13*x^(13*n) + 2342340*b*c^12*x^(12*n) + 6426420*b^2*c^11*x^(11*n) + 9579570*b^3*c^10*x^(10*n) + 8270262*b^4*c^9*x^(9*n) + 4018014*b^5*c^8*x^(8*n) + 934362*b^6*c^7*x^(7*n) + 45045*b^7*c^6*x^(6*n) - 5005*b^8*c^5*x^(5*n) + 1001*b^9*c^4*x^(4*n) - 273*b^10*c^3*x^(3*n) + 91*b^11*c^2*x^(2*n) - 35*b^12*c*x^n + 15*b^13)/(b^14*c^7*n*x^(14*n) + 7*b^15*c^6*n*x^(13*n) + 21*b^16*c^5*n*x^(12*n) + 35*b^17*c^4*n*x^(11*n) + 35*b^18*c^3*n*x^(10*n) + 21*b^19*c^2*n*x^(9*n) + 7*b^20*c*n*x^(8*n) + b^21*n*x^(7*n)) + 360360*c^7*log(x)/b^15 - 360360*c^7*log((c*x^n + b)/c)/(b^15*n)) + 1/105*c*((360360*c^12*x^(12*n) + 2342340*b*c^11*x^(11*n) + 6426420*b^2*c^10*x^(10*n) + 9579570*b^3*c^9*x^(9*n) + 8270262*b^4*c^8*x^(8*n) + 4018014*b^5*c^7*x^(7*n) + 934362*b^6*c^6*x^(6*n) + 45045*b^7*c^5*x^(5*n) - 5005*b^8*c^4*x^(4*n) + 1001*b^9*c^3*x^(3*n) - 273*b^10*c^2*x^(2*n) + 91*b^11*c*x^n - 35*b^12)/(b^13*c^7*n*x^(13*n) + 7*b^14*c^6*n*x^(12*n) + 21*b^15*c^5*n*x^(11*n) + 35*b^16*c^4*n*x^(10*n) + 35*b^17*c^3*n*x^(9*n) + 21*b^18*c^2*n*x^(8*n) + 7*b^19*c*n*x^(7*n) + b^20*n*x^(6*n)) + 360360*c^6*log(x)/b^14 - 360360*c^6*log((c*x^n + b)/c)/(b^14*n))","B",0
129,1,20,0,0.424513," ","integrate((2*c*x+b)*(c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x + a\right)}^{p + 1}}{p + 1}"," ",0,"(c*x^2 + b*x + a)^(p + 1)/(p + 1)","A",0
130,1,33,0,0.595168," ","integrate(x*(2*c*x^2+b)*(c*x^4+b*x^2+a)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{4} + b x^{2} + a\right)} {\left(c x^{4} + b x^{2} + a\right)}^{p}}{2 \, {\left(p + 1\right)}}"," ",0,"1/2*(c*x^4 + b*x^2 + a)*(c*x^4 + b*x^2 + a)^p/(p + 1)","A",0
131,1,33,0,0.577990," ","integrate(x^2*(2*c*x^3+b)*(c*x^6+b*x^3+a)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{6} + b x^{3} + a\right)} {\left(c x^{6} + b x^{3} + a\right)}^{p}}{3 \, {\left(p + 1\right)}}"," ",0,"1/3*(c*x^6 + b*x^3 + a)*(c*x^6 + b*x^3 + a)^p/(p + 1)","A",0
132,1,39,0,0.722412," ","integrate(x^(-1+n)*(b+2*c*x^n)*(a+b*x^n+c*x^(2*n))^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2 \, n} + b x^{n} + a\right)} {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p}}{n {\left(p + 1\right)}}"," ",0,"(c*x^(2*n) + b*x^n + a)*(c*x^(2*n) + b*x^n + a)^p/(n*(p + 1))","A",0
133,1,22,0,0.422464," ","integrate((2*c*x+b)*(c*x^2+b*x-a)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x - a\right)}^{p + 1}}{p + 1}"," ",0,"(c*x^2 + b*x - a)^(p + 1)/(p + 1)","A",0
134,1,37,0,0.596999," ","integrate(x*(2*c*x^2+b)*(c*x^4+b*x^2-a)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{4} + b x^{2} - a\right)} {\left(c x^{4} + b x^{2} - a\right)}^{p}}{2 \, {\left(p + 1\right)}}"," ",0,"1/2*(c*x^4 + b*x^2 - a)*(c*x^4 + b*x^2 - a)^p/(p + 1)","A",0
135,1,37,0,0.588145," ","integrate(x^2*(2*c*x^3+b)*(c*x^6+b*x^3-a)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{6} + b x^{3} - a\right)} {\left(c x^{6} + b x^{3} - a\right)}^{p}}{3 \, {\left(p + 1\right)}}"," ",0,"1/3*(c*x^6 + b*x^3 - a)*(c*x^6 + b*x^3 - a)^p/(p + 1)","A",0
136,1,43,0,0.708041," ","integrate(x^(-1+n)*(b+2*c*x^n)*(-a+b*x^n+c*x^(2*n))^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2 \, n} + b x^{n} - a\right)} {\left(c x^{2 \, n} + b x^{n} - a\right)}^{p}}{n {\left(p + 1\right)}}"," ",0,"(c*x^(2*n) + b*x^n - a)*(c*x^(2*n) + b*x^n - a)^p/(n*(p + 1))","A",0
137,1,19,0,0.427733," ","integrate((2*c*x+b)*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{p + 1}}{p + 1}"," ",0,"(c*x^2 + b*x)^(p + 1)/(p + 1)","A",0
138,1,35,0,0.588188," ","integrate(x*(2*c*x^2+b)*(c*x^4+b*x^2)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{4} + b x^{2}\right)} e^{\left(p \log\left(c x^{2} + b\right) + 2 \, p \log\left(x\right)\right)}}{2 \, {\left(p + 1\right)}}"," ",0,"1/2*(c*x^4 + b*x^2)*e^(p*log(c*x^2 + b) + 2*p*log(x))/(p + 1)","A",0
139,1,35,0,0.589703," ","integrate(x^2*(2*c*x^3+b)*(c*x^6+b*x^3)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{6} + b x^{3}\right)} e^{\left(p \log\left(c x^{3} + b\right) + 3 \, p \log\left(x\right)\right)}}{3 \, {\left(p + 1\right)}}"," ",0,"1/3*(c*x^6 + b*x^3)*e^(p*log(c*x^3 + b) + 3*p*log(x))/(p + 1)","A",0
140,1,40,0,0.765596," ","integrate(x^(-1+n)*(b+2*c*x^n)*(b*x^n+c*x^(2*n))^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2 \, n} + b x^{n}\right)} e^{\left(p \log\left(c x^{n} + b\right) + p \log\left(x^{n}\right)\right)}}{n {\left(p + 1\right)}}"," ",0,"(c*x^(2*n) + b*x^n)*e^(p*log(c*x^n + b) + p*log(x^n))/(n*(p + 1))","A",0
141,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(e x^{n} + d\right)} \left(f x\right)^{m}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate((e*x^n + d)*(f*x)^m/(c*x^(2*n) + b*x^n + a), x)","F",0
142,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""maxima"")","\frac{{\left(b^{2} d f^{m} - {\left(2 \, c d f^{m} + b e f^{m}\right)} a\right)} x x^{m} + {\left(b c d f^{m} - 2 \, a c e f^{m}\right)} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\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}} - \int \frac{{\left(b^{2} d f^{m} {\left(m - n + 1\right)} - {\left(2 \, c d f^{m} {\left(m - 2 \, n + 1\right)} + b e f^{m} {\left(m + 1\right)}\right)} a\right)} x^{m} + {\left(b c d f^{m} {\left(m - n + 1\right)} - 2 \, a c e f^{m} {\left(m - n + 1\right)}\right)} e^{\left(m \log\left(x\right) + n \log\left(x\right)\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^2*d*f^m - (2*c*d*f^m + b*e*f^m)*a)*x*x^m + (b*c*d*f^m - 2*a*c*e*f^m)*x*e^(m*log(x) + n*log(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^2*d*f^m*(m - n + 1) - (2*c*d*f^m*(m - 2*n + 1) + b*e*f^m*(m + 1))*a)*x^m + (b*c*d*f^m*(m - n + 1) - 2*a*c*e*f^m*(m - n + 1))*e^(m*log(x) + n*log(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
143,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)/(a+b*x^n+c*x^(2*n))^3,x, algorithm=""maxima"")","-\frac{{\left(a b^{4} d f^{m} {\left(m - 3 \, n + 1\right)} + 2 \, {\left(b c e f^{m} {\left(2 \, m - 5 \, n + 2\right)} + 2 \, c^{2} d f^{m} {\left(m - 6 \, n + 1\right)}\right)} a^{3} - {\left(b^{2} c d f^{m} {\left(5 \, m - 21 \, n + 5\right)} + b^{3} e f^{m} {\left(m - n + 1\right)}\right)} a^{2}\right)} x x^{m} + {\left(b^{3} c^{2} d f^{m} {\left(m - 2 \, n + 1\right)} + 4 \, a^{2} c^{3} e f^{m} {\left(m - 3 \, n + 1\right)} - {\left(2 \, b c^{3} d f^{m} {\left(2 \, m - 7 \, n + 2\right)} + b^{2} c^{2} e f^{m} {\left(m + 1\right)}\right)} a\right)} x e^{\left(m \log\left(x\right) + 3 \, n \log\left(x\right)\right)} + {\left(2 \, b^{4} c d f^{m} {\left(m - 2 \, n + 1\right)} + 2 \, {\left(b c^{2} e f^{m} {\left(4 \, m - 9 \, n + 4\right)} + 2 \, c^{3} d f^{m} {\left(m - 4 \, n + 1\right)}\right)} a^{2} - {\left(b^{2} c^{2} d f^{m} {\left(9 \, m - 29 \, n + 9\right)} + 2 \, b^{3} c e f^{m} {\left(m + 1\right)}\right)} a\right)} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)} + {\left(b^{5} d f^{m} {\left(m - 2 \, n + 1\right)} + 4 \, a^{3} c^{2} e f^{m} {\left(m - 5 \, n + 1\right)} + {\left(b^{2} c e f^{m} {\left(3 \, m - 4 \, n + 3\right)} + 2 \, b c^{2} d f^{m} n\right)} a^{2} - {\left(4 \, b^{3} c d f^{m} {\left(m - 3 \, n + 1\right)} + b^{4} e f^{m} {\left(m + 1\right)}\right)} a\right)} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{2 \, {\left(a^{4} b^{4} n^{2} - 8 \, a^{5} b^{2} c n^{2} + 16 \, a^{6} c^{2} n^{2} + {\left(a^{2} b^{4} c^{2} n^{2} - 8 \, a^{3} b^{2} c^{3} n^{2} + 16 \, a^{4} c^{4} n^{2}\right)} x^{4 \, n} + 2 \, {\left(a^{2} b^{5} c n^{2} - 8 \, a^{3} b^{3} c^{2} n^{2} + 16 \, a^{4} b c^{3} n^{2}\right)} x^{3 \, n} + {\left(a^{2} b^{6} n^{2} - 6 \, a^{3} b^{4} c n^{2} + 32 \, a^{5} c^{3} n^{2}\right)} x^{2 \, n} + 2 \, {\left(a^{3} b^{5} n^{2} - 8 \, a^{4} b^{3} c n^{2} + 16 \, a^{5} b c^{2} n^{2}\right)} x^{n}\right)}} + \int \frac{{\left({\left(m^{2} - m {\left(3 \, n - 2\right)} + 2 \, n^{2} - 3 \, n + 1\right)} b^{4} d f^{m} + 2 \, {\left(2 \, {\left(m^{2} - 2 \, m {\left(3 \, n - 1\right)} + 8 \, n^{2} - 6 \, n + 1\right)} c^{2} d f^{m} + {\left(2 \, m^{2} - m {\left(5 \, n - 4\right)} - 5 \, n + 2\right)} b c e f^{m}\right)} a^{2} - {\left({\left(5 \, m^{2} - m {\left(21 \, n - 10\right)} + 16 \, n^{2} - 21 \, n + 5\right)} b^{2} c d f^{m} + {\left(m^{2} - m {\left(n - 2\right)} - n + 1\right)} b^{3} e f^{m}\right)} a\right)} x^{m} + {\left({\left(m^{2} - m {\left(3 \, n - 2\right)} + 2 \, n^{2} - 3 \, n + 1\right)} b^{3} c d f^{m} + 4 \, {\left(m^{2} - 2 \, m {\left(2 \, n - 1\right)} + 3 \, n^{2} - 4 \, n + 1\right)} a^{2} c^{2} e f^{m} - {\left(2 \, {\left(2 \, m^{2} - m {\left(9 \, n - 4\right)} + 7 \, n^{2} - 9 \, n + 2\right)} b c^{2} d f^{m} + {\left(m^{2} - m {\left(n - 2\right)} - n + 1\right)} b^{2} c e f^{m}\right)} a\right)} e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{2 \, {\left(a^{3} b^{4} n^{2} - 8 \, a^{4} b^{2} c n^{2} + 16 \, a^{5} c^{2} n^{2} + {\left(a^{2} b^{4} c n^{2} - 8 \, a^{3} b^{2} c^{2} n^{2} + 16 \, a^{4} c^{3} n^{2}\right)} x^{2 \, n} + {\left(a^{2} b^{5} n^{2} - 8 \, a^{3} b^{3} c n^{2} + 16 \, a^{4} b c^{2} n^{2}\right)} x^{n}\right)}}\,{d x}"," ",0,"-1/2*((a*b^4*d*f^m*(m - 3*n + 1) + 2*(b*c*e*f^m*(2*m - 5*n + 2) + 2*c^2*d*f^m*(m - 6*n + 1))*a^3 - (b^2*c*d*f^m*(5*m - 21*n + 5) + b^3*e*f^m*(m - n + 1))*a^2)*x*x^m + (b^3*c^2*d*f^m*(m - 2*n + 1) + 4*a^2*c^3*e*f^m*(m - 3*n + 1) - (2*b*c^3*d*f^m*(2*m - 7*n + 2) + b^2*c^2*e*f^m*(m + 1))*a)*x*e^(m*log(x) + 3*n*log(x)) + (2*b^4*c*d*f^m*(m - 2*n + 1) + 2*(b*c^2*e*f^m*(4*m - 9*n + 4) + 2*c^3*d*f^m*(m - 4*n + 1))*a^2 - (b^2*c^2*d*f^m*(9*m - 29*n + 9) + 2*b^3*c*e*f^m*(m + 1))*a)*x*e^(m*log(x) + 2*n*log(x)) + (b^5*d*f^m*(m - 2*n + 1) + 4*a^3*c^2*e*f^m*(m - 5*n + 1) + (b^2*c*e*f^m*(3*m - 4*n + 3) + 2*b*c^2*d*f^m*n)*a^2 - (4*b^3*c*d*f^m*(m - 3*n + 1) + b^4*e*f^m*(m + 1))*a)*x*e^(m*log(x) + n*log(x)))/(a^4*b^4*n^2 - 8*a^5*b^2*c*n^2 + 16*a^6*c^2*n^2 + (a^2*b^4*c^2*n^2 - 8*a^3*b^2*c^3*n^2 + 16*a^4*c^4*n^2)*x^(4*n) + 2*(a^2*b^5*c*n^2 - 8*a^3*b^3*c^2*n^2 + 16*a^4*b*c^3*n^2)*x^(3*n) + (a^2*b^6*n^2 - 6*a^3*b^4*c*n^2 + 32*a^5*c^3*n^2)*x^(2*n) + 2*(a^3*b^5*n^2 - 8*a^4*b^3*c*n^2 + 16*a^5*b*c^2*n^2)*x^n) + integrate(1/2*(((m^2 - m*(3*n - 2) + 2*n^2 - 3*n + 1)*b^4*d*f^m + 2*(2*(m^2 - 2*m*(3*n - 1) + 8*n^2 - 6*n + 1)*c^2*d*f^m + (2*m^2 - m*(5*n - 4) - 5*n + 2)*b*c*e*f^m)*a^2 - ((5*m^2 - m*(21*n - 10) + 16*n^2 - 21*n + 5)*b^2*c*d*f^m + (m^2 - m*(n - 2) - n + 1)*b^3*e*f^m)*a)*x^m + ((m^2 - m*(3*n - 2) + 2*n^2 - 3*n + 1)*b^3*c*d*f^m + 4*(m^2 - 2*m*(2*n - 1) + 3*n^2 - 4*n + 1)*a^2*c^2*e*f^m - (2*(2*m^2 - m*(9*n - 4) + 7*n^2 - 9*n + 2)*b*c^2*d*f^m + (m^2 - m*(n - 2) - n + 1)*b^2*c*e*f^m)*a)*e^(m*log(x) + n*log(x)))/(a^3*b^4*n^2 - 8*a^4*b^2*c*n^2 + 16*a^5*c^2*n^2 + (a^2*b^4*c*n^2 - 8*a^3*b^2*c^2*n^2 + 16*a^4*c^3*n^2)*x^(2*n) + (a^2*b^5*n^2 - 8*a^3*b^3*c*n^2 + 16*a^4*b*c^2*n^2)*x^n), x)","F",0
144,1,34,0,0.445212," ","integrate((c^(1/3)-2*d^(1/3)*x^(1/3))/(c*d^(1/3)*x^(2/3)-c^(2/3)*d^(2/3)*x+c^(1/3)*d*x^(4/3)),x, algorithm=""maxima"")","-\frac{3 \, \log\left(c^{\frac{1}{3}} d x^{\frac{2}{3}} - c^{\frac{2}{3}} d^{\frac{2}{3}} x^{\frac{1}{3}} + c d^{\frac{1}{3}}\right)}{c^{\frac{1}{3}} d^{\frac{2}{3}}}"," ",0,"-3*log(c^(1/3)*d*x^(2/3) - c^(2/3)*d^(2/3)*x^(1/3) + c*d^(1/3))/(c^(1/3)*d^(2/3))","A",0
145,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)^q/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(e x^{n} + d\right)}^{q} \left(f x\right)^{m}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate((e*x^n + d)^q*(f*x)^m/(c*x^(2*n) + b*x^n + a), x)","F",0
146,0,0,0,0.000000," ","integrate(x^2*(d+e*x^n)^q/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(e x^{n} + d\right)}^{q} x^{2}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate((e*x^n + d)^q*x^2/(c*x^(2*n) + b*x^n + a), x)","F",0
147,0,0,0,0.000000," ","integrate(x*(d+e*x^n)^q/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(e x^{n} + d\right)}^{q} x}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate((e*x^n + d)^q*x/(c*x^(2*n) + b*x^n + a), x)","F",0
148,0,0,0,0.000000," ","integrate((d+e*x^n)^q/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(e x^{n} + d\right)}^{q}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate((e*x^n + d)^q/(c*x^(2*n) + b*x^n + a), x)","F",0
149,0,0,0,0.000000," ","integrate((d+e*x^n)^q/x/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(e x^{n} + d\right)}^{q}}{{\left(c x^{2 \, n} + b x^{n} + a\right)} x}\,{d x}"," ",0,"integrate((e*x^n + d)^q/((c*x^(2*n) + b*x^n + a)*x), x)","F",0
150,0,0,0,0.000000," ","integrate((d+e*x^n)^q/x^2/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(e x^{n} + d\right)}^{q}}{{\left(c x^{2 \, n} + b x^{n} + a\right)} x^{2}}\,{d x}"," ",0,"integrate((e*x^n + d)^q/((c*x^(2*n) + b*x^n + a)*x^2), x)","F",0
151,0,0,0,0.000000," ","integrate((d+e*x^n)^q/x^3/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(e x^{n} + d\right)}^{q}}{{\left(c x^{2 \, n} + b x^{n} + a\right)} x^{3}}\,{d x}"," ",0,"integrate((e*x^n + d)^q/((c*x^(2*n) + b*x^n + a)*x^3), x)","F",0
152,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)^2*(a+b*x^n+c*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(e x^{n} + d\right)}^{2} {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((e*x^n + d)^2*(c*x^(2*n) + b*x^n + a)^p*(f*x)^m, x)","F",0
153,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^n)*(a+b*x^n+c*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(e x^{n} + d\right)} {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((e*x^n + d)*(c*x^(2*n) + b*x^n + a)^p*(f*x)^m, x)","F",0
154,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*x^n+c*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^p*(f*x)^m, x)","F",0
155,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*x^n+c*x^(2*n))^p/(d+e*x^n),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} \left(f x\right)^{m}}{e x^{n} + d}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^p*(f*x)^m/(e*x^n + d), x)","F",0
156,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*x^n+c*x^(2*n))^p/(d+e*x^n)^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} \left(f x\right)^{m}}{{\left(e x^{n} + d\right)}^{2}}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^p*(f*x)^m/(e*x^n + d)^2, x)","F",0
