1,0,0,0,0.000000," ","integrate(1/(2^(2/3)+x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} + 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 + 1)*(x + 2^(2/3))), x)","F",0
2,0,0,0,0.000000," ","integrate(1/(2^(2/3)-x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{-x^{3} + 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate(1/(sqrt(-x^3 + 1)*(x - 2^(2/3))), x)","F",0
3,0,0,0,0.000000," ","integrate(1/(2^(2/3)-x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{x^{3} - 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate(1/(sqrt(x^3 - 1)*(x - 2^(2/3))), x)","F",0
4,0,0,0,0.000000," ","integrate(1/(2^(2/3)+x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} - 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 - 1)*(x + 2^(2/3))), x)","F",0
5,0,0,0,0.000000," ","integrate(1/(2^(2/3)*a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a)*(b^(1/3)*x + 2^(2/3)*a^(1/3))), x)","F",0
6,0,0,0,0.000000," ","integrate(1/(2^(2/3)*a^(1/3)-b^(1/3)*x)/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate(1/(sqrt(-b*x^3 + a)*(b^(1/3)*x - 2^(2/3)*a^(1/3))), x)","F",0
7,0,0,0,0.000000," ","integrate(1/(2^(2/3)*a^(1/3)-b^(1/3)*x)/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate(1/(sqrt(b*x^3 - a)*(b^(1/3)*x - 2^(2/3)*a^(1/3))), x)","F",0
8,0,0,0,0.000000," ","integrate(1/(2^(2/3)*a^(1/3)+b^(1/3)*x)/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-b*x^3 - a)*(b^(1/3)*x + 2^(2/3)*a^(1/3))), x)","F",0
9,0,0,0,0.000000," ","integrate(1/(d*x+c)/(4*d^3*x^3+c^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{4 \, d^{3} x^{3} + c^{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(4*d^3*x^3 + c^3)*(d*x + c)), x)","F",0
10,0,0,0,0.000000," ","integrate(1/(1+x+3^(1/2))/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} + 1} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 + 1)*(x + sqrt(3) + 1)), x)","F",0
11,0,0,0,0.000000," ","integrate(1/(1-x+3^(1/2))/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{-x^{3} + 1} {\left(x - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"-integrate(1/(sqrt(-x^3 + 1)*(x - sqrt(3) - 1)), x)","F",0
12,0,0,0,0.000000," ","integrate(1/(1-x+3^(1/2))/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{x^{3} - 1} {\left(x - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"-integrate(1/(sqrt(x^3 - 1)*(x - sqrt(3) - 1)), x)","F",0
13,0,0,0,0.000000," ","integrate(1/(1+x+3^(1/2))/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} - 1} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 - 1)*(x + sqrt(3) + 1)), x)","F",0
14,0,0,0,0.000000," ","integrate(1/(3+x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} + 1} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 + 1)*(x + 3)), x)","F",0
15,0,0,0,0.000000," ","integrate(1/(3+x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} + 1} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 + 1)*(x + 3)), x)","F",0
16,0,0,0,0.000000," ","integrate(1/(3+x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} - 1} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 - 1)*(x + 3)), x)","F",0
17,0,0,0,0.000000," ","integrate(1/(3+x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} - 1} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 - 1)*(x + 3)), x)","F",0
18,0,0,0,0.000000," ","integrate(1/(d*x+c)/(d^3*x^3-c^3)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(d^{3} x^{3} - c^{3}\right)}^{\frac{1}{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((d^3*x^3 - c^3)^(1/3)*(d*x + c)), x)","F",0
19,0,0,0,0.000000," ","integrate(1/(d*x+c)/(d^3*x^3+2*c^3)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(d^{3} x^{3} + 2 \, c^{3}\right)}^{\frac{1}{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((d^3*x^3 + 2*c^3)^(1/3)*(d*x + c)), x)","F",0
20,0,0,0,0.000000," ","integrate(1/(d*x+c)/(d^3*x^3+2*c^3)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(d^{3} x^{3} + 2 \, c^{3}\right)}^{\frac{2}{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((d^3*x^3 + 2*c^3)^(2/3)*(d*x + c)), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(1+2^(1/3)*x)/(x^3+1)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(2^{\frac{1}{3}} x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)^(2/3)*(2^(1/3)*x + 1)), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(1-2^(1/3)*x)/(-x^3+1)^(2/3),x, algorithm=""maxima"")","-\int \frac{1}{{\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(2^{\frac{1}{3}} x - 1\right)}}\,{d x}"," ",0,"-integrate(1/((-x^3 + 1)^(2/3)*(2^(1/3)*x - 1)), x)","F",0
23,0,0,0,0.000000," ","integrate((d*x+c)^4*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{4}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*(d*x + c)^4, x)","F",0
24,0,0,0,0.000000," ","integrate((d*x+c)^3*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{3}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*(d*x + c)^3, x)","F",0
25,0,0,0,0.000000," ","integrate((d*x+c)^2*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{2}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*(d*x + c)^2, x)","F",0
26,0,0,0,0.000000," ","integrate((d*x+c)*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*(d*x + c), x)","F",0
27,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{d x + c}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/(d*x + c), x)","F",0
28,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/(d*x + c)^2, x)","F",0
29,0,0,0,0.000000," ","integrate((d*x+c)^4/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} - \frac{\log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{b^{\frac{1}{3}}} + \frac{2 \, \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{b^{\frac{1}{3}}}\right)} c^{4} + \int \frac{d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x}{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(1/3) - log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(1/3) + 2*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(1/3))*c^4 + integrate((d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x)/(b*x^3 + a)^(1/3), x)","F",0
30,0,0,0,0.000000," ","integrate((d*x+c)^3/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} - \frac{\log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{b^{\frac{1}{3}}} + \frac{2 \, \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{b^{\frac{1}{3}}}\right)} c^{3} + \int \frac{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x}{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(1/3) - log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(1/3) + 2*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(1/3))*c^3 + integrate((d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x)/(b*x^3 + a)^(1/3), x)","F",0
31,0,0,0,0.000000," ","integrate((d*x+c)^2/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} - \frac{\log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{b^{\frac{1}{3}}} + \frac{2 \, \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{b^{\frac{1}{3}}}\right)} c^{2} + \int \frac{d^{2} x^{2} + 2 \, c d x}{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(1/3) - log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(1/3) + 2*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(1/3))*c^2 + integrate((d^2*x^2 + 2*c*d*x)/(b*x^3 + a)^(1/3), x)","F",0
32,0,0,0,0.000000," ","integrate((d*x+c)/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} - \frac{\log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{b^{\frac{1}{3}}} + \frac{2 \, \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{b^{\frac{1}{3}}}\right)} c + d \int \frac{x}{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(1/3) - log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(1/3) + 2*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(1/3))*c + d*integrate(x/(b*x^3 + a)^(1/3), x)","F",0
33,0,0,0,0.000000," ","integrate(1/(d*x+c)/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x + c)), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x + c)^2), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(d*x+c)^3/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*(d*x + c)^3), x)","F",0
36,0,0,0,0.000000," ","integrate((d*x+c)^4/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{4}}{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^4/(b*x^3 + a)^(2/3), x)","F",0
37,0,0,0,0.000000," ","integrate((d*x+c)^3/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{3}}{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^3/(b*x^3 + a)^(2/3), x)","F",0
38,0,0,0,0.000000," ","integrate((d*x+c)^2/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{2}}{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^2/(b*x^3 + a)^(2/3), x)","F",0
39,0,0,0,0.000000," ","integrate((d*x+c)/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{d x + c}{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((d*x + c)/(b*x^3 + a)^(2/3), x)","F",0
40,0,0,0,0.000000," ","integrate(1/(d*x+c)/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*(d*x + c)), x)","F",0
41,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*(d*x + c)^2), x)","F",0
42,0,0,0,0.000000," ","integrate(1/(d*x+c)^3/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*(d*x + c)^3), x)","F",0
43,0,0,0,0.000000," ","integrate((2^(2/3)-2*x)/(2^(2/3)+x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, x - 2^{\frac{2}{3}}}{\sqrt{x^{3} + 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate((2*x - 2^(2/3))/(sqrt(x^3 + 1)*(x + 2^(2/3))), x)","F",0
44,0,0,0,0.000000," ","integrate((2^(2/3)+2*x)/(2^(2/3)-x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, x + 2^{\frac{2}{3}}}{\sqrt{-x^{3} + 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate((2*x + 2^(2/3))/(sqrt(-x^3 + 1)*(x - 2^(2/3))), x)","F",0
45,0,0,0,0.000000," ","integrate((2^(2/3)+2*x)/(2^(2/3)-x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, x + 2^{\frac{2}{3}}}{\sqrt{x^{3} - 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate((2*x + 2^(2/3))/(sqrt(x^3 - 1)*(x - 2^(2/3))), x)","F",0
46,0,0,0,0.000000," ","integrate((2^(2/3)-2*x)/(2^(2/3)+x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, x - 2^{\frac{2}{3}}}{\sqrt{-x^{3} - 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate((2*x - 2^(2/3))/(sqrt(-x^3 - 1)*(x + 2^(2/3))), x)","F",0
47,0,0,0,0.000000," ","integrate((2^(2/3)*a^(1/3)-2*b^(1/3)*x)/(2^(2/3)*a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((2*b^(1/3)*x - 2^(2/3)*a^(1/3))/(sqrt(b*x^3 + a)*(b^(1/3)*x + 2^(2/3)*a^(1/3))), x)","F",0
48,0,0,0,0.000000," ","integrate((2^(2/3)*a^(1/3)+2*b^(1/3)*x)/(2^(2/3)*a^(1/3)-b^(1/3)*x)/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((2*b^(1/3)*x + 2^(2/3)*a^(1/3))/(sqrt(-b*x^3 + a)*(b^(1/3)*x - 2^(2/3)*a^(1/3))), x)","F",0
49,0,0,0,0.000000," ","integrate((2^(2/3)*a^(1/3)+2*b^(1/3)*x)/(2^(2/3)*a^(1/3)-b^(1/3)*x)/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((2*b^(1/3)*x + 2^(2/3)*a^(1/3))/(sqrt(b*x^3 - a)*(b^(1/3)*x - 2^(2/3)*a^(1/3))), x)","F",0
50,0,0,0,0.000000," ","integrate((2^(2/3)*a^(1/3)-2*b^(1/3)*x)/(2^(2/3)*a^(1/3)+b^(1/3)*x)/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((2*b^(1/3)*x - 2^(2/3)*a^(1/3))/(sqrt(-b*x^3 - a)*(b^(1/3)*x + 2^(2/3)*a^(1/3))), x)","F",0
51,0,0,0,0.000000," ","integrate((-2*d*x+c)/(d*x+c)/(4*d^3*x^3+c^3)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, d x - c}{\sqrt{4 \, d^{3} x^{3} + c^{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"-integrate((2*d*x - c)/(sqrt(4*d^3*x^3 + c^3)*(d*x + c)), x)","F",0
52,0,0,0,0.000000," ","integrate((2+3*x)/(2^(2/3)+x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x + 2}{\sqrt{x^{3} + 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"integrate((3*x + 2)/(sqrt(x^3 + 1)*(x + 2^(2/3))), x)","F",0
53,0,0,0,0.000000," ","integrate((2+3*x)/(2^(2/3)-x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{3 \, x + 2}{\sqrt{-x^{3} + 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate((3*x + 2)/(sqrt(-x^3 + 1)*(x - 2^(2/3))), x)","F",0
54,0,0,0,0.000000," ","integrate((2+3*x)/(2^(2/3)-x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{3 \, x + 2}{\sqrt{x^{3} - 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate((3*x + 2)/(sqrt(x^3 - 1)*(x - 2^(2/3))), x)","F",0
55,0,0,0,0.000000," ","integrate((2+3*x)/(2^(2/3)+x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x + 2}{\sqrt{-x^{3} - 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"integrate((3*x + 2)/(sqrt(-x^3 - 1)*(x + 2^(2/3))), x)","F",0
56,0,0,0,0.000000," ","integrate((f*x+e)/(2^(2/3)+x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{x^{3} + 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(x^3 + 1)*(x + 2^(2/3))), x)","F",0
57,0,0,0,0.000000," ","integrate((f*x+e)/(2^(2/3)-x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{-x^{3} + 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(-x^3 + 1)*(x - 2^(2/3))), x)","F",0
58,0,0,0,0.000000," ","integrate((f*x+e)/(2^(2/3)-x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{x^{3} - 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(x^3 - 1)*(x - 2^(2/3))), x)","F",0
59,0,0,0,0.000000," ","integrate((f*x+e)/(2^(2/3)+x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-x^{3} - 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-x^3 - 1)*(x + 2^(2/3))), x)","F",0
60,0,0,0,0.000000," ","integrate((f*x+e)/(2^(2/3)*a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(b*x^3 + a)*(b^(1/3)*x + 2^(2/3)*a^(1/3))), x)","F",0
61,0,0,0,0.000000," ","integrate((f*x+e)/(2^(2/3)*a^(1/3)-b^(1/3)*x)/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(-b*x^3 + a)*(b^(1/3)*x - 2^(2/3)*a^(1/3))), x)","F",0
62,0,0,0,0.000000," ","integrate((f*x+e)/(2^(2/3)*a^(1/3)-b^(1/3)*x)/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(b*x^3 - a)*(b^(1/3)*x - 2^(2/3)*a^(1/3))), x)","F",0
63,0,0,0,0.000000," ","integrate((f*x+e)/(2^(2/3)*a^(1/3)+b^(1/3)*x)/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-b*x^3 - a)*(b^(1/3)*x + 2^(2/3)*a^(1/3))), x)","F",0
64,0,0,0,0.000000," ","integrate((f*x+e)/(d*x+c)/(4*d^3*x^3+c^3)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{4 \, d^{3} x^{3} + c^{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(4*d^3*x^3 + c^3)*(d*x + c)), x)","F",0
65,0,0,0,0.000000," ","integrate(x/(2^(2/3)+x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} + 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(x^3 + 1)*(x + 2^(2/3))), x)","F",0
66,0,0,0,0.000000," ","integrate(x/(2^(2/3)-x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{-x^{3} + 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(-x^3 + 1)*(x - 2^(2/3))), x)","F",0
67,0,0,0,0.000000," ","integrate(x/(2^(2/3)-x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{x^{3} - 1} {\left(x - 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(x^3 - 1)*(x - 2^(2/3))), x)","F",0
68,0,0,0,0.000000," ","integrate(x/(2^(2/3)+x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-x^{3} - 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(-x^3 - 1)*(x + 2^(2/3))), x)","F",0
69,0,0,0,0.000000," ","integrate(x/(2^(2/3)*a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x^3 + a)*(b^(1/3)*x + 2^(2/3)*a^(1/3))), x)","F",0
70,0,0,0,0.000000," ","integrate(x/(2^(2/3)*a^(1/3)-b^(1/3)*x)/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(-b*x^3 + a)*(b^(1/3)*x - 2^(2/3)*a^(1/3))), x)","F",0
71,0,0,0,0.000000," ","integrate(x/(2^(2/3)*a^(1/3)-b^(1/3)*x)/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x - 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(b*x^3 - a)*(b^(1/3)*x - 2^(2/3)*a^(1/3))), x)","F",0
72,0,0,0,0.000000," ","integrate(x/(2^(2/3)*a^(1/3)+b^(1/3)*x)/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x + 2^{\frac{2}{3}} a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(-b*x^3 - a)*(b^(1/3)*x + 2^(2/3)*a^(1/3))), x)","F",0
73,0,0,0,0.000000," ","integrate(x/(d*x+c)/(4*d^3*x^3+c^3)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{4 \, d^{3} x^{3} + c^{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(4*d^3*x^3 + c^3)*(d*x + c)), x)","F",0
74,0,0,0,0.000000," ","integrate((1+x)/(2-x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x + 1}{\sqrt{x^{3} + 1} {\left(x - 2\right)}}\,{d x}"," ",0,"-integrate((x + 1)/(sqrt(x^3 + 1)*(x - 2)), x)","F",0
75,0,0,0,0.000000," ","integrate((1-x)/(2+x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - 1}{\sqrt{-x^{3} + 1} {\left(x + 2\right)}}\,{d x}"," ",0,"-integrate((x - 1)/(sqrt(-x^3 + 1)*(x + 2)), x)","F",0
76,0,0,0,0.000000," ","integrate((1-x)/(2+x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - 1}{\sqrt{x^{3} - 1} {\left(x + 2\right)}}\,{d x}"," ",0,"-integrate((x - 1)/(sqrt(x^3 - 1)*(x + 2)), x)","F",0
77,0,0,0,0.000000," ","integrate((1+x)/(2-x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x + 1}{\sqrt{-x^{3} - 1} {\left(x - 2\right)}}\,{d x}"," ",0,"-integrate((x + 1)/(sqrt(-x^3 - 1)*(x - 2)), x)","F",0
78,0,0,0,0.000000," ","integrate((a^(1/3)+b^(1/3)*x)/(2*a^(1/3)-b^(1/3)*x)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{b^{\frac{1}{3}} x + a^{\frac{1}{3}}}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x - 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((b^(1/3)*x + a^(1/3))/(sqrt(b*x^3 + a)*(b^(1/3)*x - 2*a^(1/3))), x)","F",0
79,0,0,0,0.000000," ","integrate((a^(1/3)-b^(1/3)*x)/(2*a^(1/3)+b^(1/3)*x)/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{b^{\frac{1}{3}} x - a^{\frac{1}{3}}}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x + 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((b^(1/3)*x - a^(1/3))/(sqrt(-b*x^3 + a)*(b^(1/3)*x + 2*a^(1/3))), x)","F",0
80,0,0,0,0.000000," ","integrate((a^(1/3)-b^(1/3)*x)/(2*a^(1/3)+b^(1/3)*x)/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{b^{\frac{1}{3}} x - a^{\frac{1}{3}}}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x + 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((b^(1/3)*x - a^(1/3))/(sqrt(b*x^3 - a)*(b^(1/3)*x + 2*a^(1/3))), x)","F",0
81,0,0,0,0.000000," ","integrate((a^(1/3)+b^(1/3)*x)/(2*a^(1/3)-b^(1/3)*x)/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{b^{\frac{1}{3}} x + a^{\frac{1}{3}}}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x - 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((b^(1/3)*x + a^(1/3))/(sqrt(-b*x^3 - a)*(b^(1/3)*x - 2*a^(1/3))), x)","F",0
82,0,0,0,0.000000," ","integrate((-2*d*x+c)/(d*x+c)/(-8*d^3*x^3+c^3)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, d x - c}{\sqrt{-8 \, d^{3} x^{3} + c^{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"-integrate((2*d*x - c)/(sqrt(-8*d^3*x^3 + c^3)*(d*x + c)), x)","F",0
83,0,0,0,0.000000," ","integrate((f*x+e)/(2-x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{x^{3} + 1} {\left(x - 2\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(x^3 + 1)*(x - 2)), x)","F",0
84,0,0,0,0.000000," ","integrate((f*x+e)/(2+x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-x^{3} + 1} {\left(x + 2\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-x^3 + 1)*(x + 2)), x)","F",0
85,0,0,0,0.000000," ","integrate((f*x+e)/(2+x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{x^{3} - 1} {\left(x + 2\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(x^3 - 1)*(x + 2)), x)","F",0
86,0,0,0,0.000000," ","integrate((f*x+e)/(2-x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{-x^{3} - 1} {\left(x - 2\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(-x^3 - 1)*(x - 2)), x)","F",0
87,0,0,0,0.000000," ","integrate((f*x+e)/(2*a^(1/3)-b^(1/3)*x)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x - 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(b*x^3 + a)*(b^(1/3)*x - 2*a^(1/3))), x)","F",0
88,0,0,0,0.000000," ","integrate((f*x+e)/(2*a^(1/3)+b^(1/3)*x)/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x + 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-b*x^3 + a)*(b^(1/3)*x + 2*a^(1/3))), x)","F",0
89,0,0,0,0.000000," ","integrate((f*x+e)/(2*a^(1/3)+b^(1/3)*x)/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x + 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(b*x^3 - a)*(b^(1/3)*x + 2*a^(1/3))), x)","F",0
90,0,0,0,0.000000," ","integrate((f*x+e)/(2*a^(1/3)-b^(1/3)*x)/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x - 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(-b*x^3 - a)*(b^(1/3)*x - 2*a^(1/3))), x)","F",0
91,0,0,0,0.000000," ","integrate((f*x+e)/(d*x+c)/(-8*d^3*x^3+c^3)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-8 \, d^{3} x^{3} + c^{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-8*d^3*x^3 + c^3)*(d*x + c)), x)","F",0
92,0,0,0,0.000000," ","integrate(x/(2-x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{x^{3} + 1} {\left(x - 2\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(x^3 + 1)*(x - 2)), x)","F",0
93,0,0,0,0.000000," ","integrate(x/(2+x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-x^{3} + 1} {\left(x + 2\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(-x^3 + 1)*(x + 2)), x)","F",0
94,0,0,0,0.000000," ","integrate(x/(2+x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} - 1} {\left(x + 2\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(x^3 - 1)*(x + 2)), x)","F",0
95,0,0,0,0.000000," ","integrate(x/(2-x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{-x^{3} - 1} {\left(x - 2\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(-x^3 - 1)*(x - 2)), x)","F",0
96,0,0,0,0.000000," ","integrate(x/(2*a^(1/3)-b^(1/3)*x)/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x - 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(b*x^3 + a)*(b^(1/3)*x - 2*a^(1/3))), x)","F",0
97,0,0,0,0.000000," ","integrate(x/(2*a^(1/3)+b^(1/3)*x)/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x + 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(-b*x^3 + a)*(b^(1/3)*x + 2*a^(1/3))), x)","F",0
98,0,0,0,0.000000," ","integrate(x/(2*a^(1/3)+b^(1/3)*x)/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x + 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x^3 - a)*(b^(1/3)*x + 2*a^(1/3))), x)","F",0
99,0,0,0,0.000000," ","integrate(x/(2*a^(1/3)-b^(1/3)*x)/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x - 2 \, a^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(-b*x^3 - a)*(b^(1/3)*x - 2*a^(1/3))), x)","F",0
100,0,0,0,0.000000," ","integrate(x/(d*x+c)/(-8*d^3*x^3+c^3)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-8 \, d^{3} x^{3} + c^{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(-8*d^3*x^3 + c^3)*(d*x + c)), x)","F",0
101,0,0,0,0.000000," ","integrate((1+x+3^(1/2))/(1+x-3^(1/2))/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + \sqrt{3} + 1}{\sqrt{x^{3} + 1} {\left(x - \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x + sqrt(3) + 1)/(sqrt(x^3 + 1)*(x - sqrt(3) + 1)), x)","F",0
102,0,0,0,0.000000," ","integrate((1-x+3^(1/2))/(1-x-3^(1/2))/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - \sqrt{3} - 1}{\sqrt{-x^{3} + 1} {\left(x + \sqrt{3} - 1\right)}}\,{d x}"," ",0,"integrate((x - sqrt(3) - 1)/(sqrt(-x^3 + 1)*(x + sqrt(3) - 1)), x)","F",0
103,0,0,0,0.000000," ","integrate((1-x+3^(1/2))/(1-x-3^(1/2))/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - \sqrt{3} - 1}{\sqrt{x^{3} - 1} {\left(x + \sqrt{3} - 1\right)}}\,{d x}"," ",0,"integrate((x - sqrt(3) - 1)/(sqrt(x^3 - 1)*(x + sqrt(3) - 1)), x)","F",0
104,0,0,0,0.000000," ","integrate((1+x+3^(1/2))/(1+x-3^(1/2))/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + \sqrt{3} + 1}{\sqrt{-x^{3} - 1} {\left(x - \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x + sqrt(3) + 1)/(sqrt(-x^3 - 1)*(x - sqrt(3) + 1)), x)","F",0
105,0,0,0,0.000000," ","integrate((b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"integrate((b^(1/3)*x + a^(1/3)*(sqrt(3) + 1))/(sqrt(b*x^3 + a)*(b^(1/3)*x - a^(1/3)*(sqrt(3) - 1))), x)","F",0
106,0,0,0,0.000000," ","integrate((-b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"integrate((b^(1/3)*x - a^(1/3)*(sqrt(3) + 1))/(sqrt(-b*x^3 + a)*(b^(1/3)*x + a^(1/3)*(sqrt(3) - 1))), x)","F",0
107,0,0,0,0.000000," ","integrate((-b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"integrate((b^(1/3)*x - a^(1/3)*(sqrt(3) + 1))/(sqrt(b*x^3 - a)*(b^(1/3)*x + a^(1/3)*(sqrt(3) - 1))), x)","F",0
108,0,0,0,0.000000," ","integrate((b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"integrate((b^(1/3)*x + a^(1/3)*(sqrt(3) + 1))/(sqrt(-b*x^3 - a)*(b^(1/3)*x - a^(1/3)*(sqrt(3) - 1))), x)","F",0
109,0,0,0,0.000000," ","integrate((1+(b/a)^(1/3)*x+3^(1/2))/(1+(b/a)^(1/3)*x-3^(1/2))/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} + 1}{\sqrt{b x^{3} + a} {\left(x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x*(b/a)^(1/3) + sqrt(3) + 1)/(sqrt(b*x^3 + a)*(x*(b/a)^(1/3) - sqrt(3) + 1)), x)","F",0
110,0,0,0,0.000000," ","integrate((1-(b/a)^(1/3)*x+3^(1/2))/(1-(b/a)^(1/3)*x-3^(1/2))/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} - 1}{\sqrt{-b x^{3} + a} {\left(x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} - 1\right)}}\,{d x}"," ",0,"integrate((x*(b/a)^(1/3) - sqrt(3) - 1)/(sqrt(-b*x^3 + a)*(x*(b/a)^(1/3) + sqrt(3) - 1)), x)","F",0
111,0,0,0,0.000000," ","integrate((1-(b/a)^(1/3)*x+3^(1/2))/(1-(b/a)^(1/3)*x-3^(1/2))/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} - 1}{\sqrt{b x^{3} - a} {\left(x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} - 1\right)}}\,{d x}"," ",0,"integrate((x*(b/a)^(1/3) - sqrt(3) - 1)/(sqrt(b*x^3 - a)*(x*(b/a)^(1/3) + sqrt(3) - 1)), x)","F",0
112,0,0,0,0.000000," ","integrate((1+(b/a)^(1/3)*x+3^(1/2))/(1+(b/a)^(1/3)*x-3^(1/2))/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} + 1}{\sqrt{-b x^{3} - a} {\left(x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x*(b/a)^(1/3) + sqrt(3) + 1)/(sqrt(-b*x^3 - a)*(x*(b/a)^(1/3) - sqrt(3) + 1)), x)","F",0
113,0,0,0,0.000000," ","integrate((1+x-3^(1/2))/(1+x+3^(1/2))/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - \sqrt{3} + 1}{\sqrt{x^{3} + 1} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x - sqrt(3) + 1)/(sqrt(x^3 + 1)*(x + sqrt(3) + 1)), x)","F",0
114,0,0,0,0.000000," ","integrate((1-x-3^(1/2))/(1-x+3^(1/2))/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + \sqrt{3} - 1}{\sqrt{-x^{3} + 1} {\left(x - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"integrate((x + sqrt(3) - 1)/(sqrt(-x^3 + 1)*(x - sqrt(3) - 1)), x)","F",0
115,0,0,0,0.000000," ","integrate((1-x-3^(1/2))/(1-x+3^(1/2))/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + \sqrt{3} - 1}{\sqrt{x^{3} - 1} {\left(x - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"integrate((x + sqrt(3) - 1)/(sqrt(x^3 - 1)*(x - sqrt(3) - 1)), x)","F",0
116,0,0,0,0.000000," ","integrate((1+x-3^(1/2))/(1+x+3^(1/2))/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - \sqrt{3} + 1}{\sqrt{-x^{3} - 1} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x - sqrt(3) + 1)/(sqrt(-x^3 - 1)*(x + sqrt(3) + 1)), x)","F",0
117,0,0,0,0.000000," ","integrate((b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}\right)}}\,{d x}"," ",0,"integrate((b^(1/3)*x - a^(1/3)*(sqrt(3) - 1))/(sqrt(b*x^3 + a)*(b^(1/3)*x + a^(1/3)*(sqrt(3) + 1))), x)","F",0
118,0,0,0,0.000000," ","integrate((-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}\right)}}\,{d x}"," ",0,"integrate((b^(1/3)*x + a^(1/3)*(sqrt(3) - 1))/(sqrt(-b*x^3 + a)*(b^(1/3)*x - a^(1/3)*(sqrt(3) + 1))), x)","F",0
119,0,0,0,0.000000," ","integrate((-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}\right)}}\,{d x}"," ",0,"integrate((b^(1/3)*x + a^(1/3)*(sqrt(3) - 1))/(sqrt(b*x^3 - a)*(b^(1/3)*x - a^(1/3)*(sqrt(3) + 1))), x)","F",0
120,0,0,0,0.000000," ","integrate((b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b^(1/3)*x+a^(1/3)*(1+3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} + 1\right)}\right)}}\,{d x}"," ",0,"integrate((b^(1/3)*x - a^(1/3)*(sqrt(3) - 1))/(sqrt(-b*x^3 - a)*(b^(1/3)*x + a^(1/3)*(sqrt(3) + 1))), x)","F",0
121,0,0,0,0.000000," ","integrate((1+(b/a)^(1/3)*x-3^(1/2))/(1+(b/a)^(1/3)*x+3^(1/2))/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} + 1}{\sqrt{b x^{3} + a} {\left(x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x*(b/a)^(1/3) - sqrt(3) + 1)/(sqrt(b*x^3 + a)*(x*(b/a)^(1/3) + sqrt(3) + 1)), x)","F",0
122,0,0,0,0.000000," ","integrate((1-(b/a)^(1/3)*x-3^(1/2))/(1-(b/a)^(1/3)*x+3^(1/2))/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} - 1}{\sqrt{-b x^{3} + a} {\left(x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"integrate((x*(b/a)^(1/3) + sqrt(3) - 1)/(sqrt(-b*x^3 + a)*(x*(b/a)^(1/3) - sqrt(3) - 1)), x)","F",0
123,0,0,0,0.000000," ","integrate((1-(b/a)^(1/3)*x-3^(1/2))/(1-(b/a)^(1/3)*x+3^(1/2))/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} - 1}{\sqrt{b x^{3} - a} {\left(x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"integrate((x*(b/a)^(1/3) + sqrt(3) - 1)/(sqrt(b*x^3 - a)*(x*(b/a)^(1/3) - sqrt(3) - 1)), x)","F",0
124,0,0,0,0.000000," ","integrate((1+(b/a)^(1/3)*x-3^(1/2))/(1+(b/a)^(1/3)*x+3^(1/2))/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x \left(\frac{b}{a}\right)^{\frac{1}{3}} - \sqrt{3} + 1}{\sqrt{-b x^{3} - a} {\left(x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x*(b/a)^(1/3) - sqrt(3) + 1)/(sqrt(-b*x^3 - a)*(x*(b/a)^(1/3) + sqrt(3) + 1)), x)","F",0
125,0,0,0,0.000000," ","integrate((1+x)/(1+x+3^(1/2))/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{3} + 1} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^3 + 1)*(x + sqrt(3) + 1)), x)","F",0
126,0,0,0,0.000000," ","integrate((1+x)/(1+x-3^(1/2))/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{3} + 1} {\left(x - \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^3 + 1)*(x - sqrt(3) + 1)), x)","F",0
127,0,0,0,0.000000," ","integrate((f*x+e)/(1+x+3^(1/2))/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{x^{3} + 1} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(x^3 + 1)*(x + sqrt(3) + 1)), x)","F",0
128,0,0,0,0.000000," ","integrate((f*x+e)/(1-x+3^(1/2))/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{-x^{3} + 1} {\left(x - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(-x^3 + 1)*(x - sqrt(3) - 1)), x)","F",0
129,0,0,0,0.000000," ","integrate((f*x+e)/(1-x+3^(1/2))/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{x^{3} - 1} {\left(x - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(x^3 - 1)*(x - sqrt(3) - 1)), x)","F",0
130,0,0,0,0.000000," ","integrate((f*x+e)/(1+x+3^(1/2))/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-x^{3} - 1} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-x^3 - 1)*(x + sqrt(3) + 1)), x)","F",0
131,0,0,0,0.000000," ","integrate((f*x+e)/(b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(b*x^3 + a)*(b^(1/3)*x - a^(1/3)*(sqrt(3) - 1))), x)","F",0
132,0,0,0,0.000000," ","integrate((f*x+e)/(-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(-b*x^3 + a)*(b^(1/3)*x + a^(1/3)*(sqrt(3) - 1))), x)","F",0
133,0,0,0,0.000000," ","integrate((f*x+e)/(-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{f x + e}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"-integrate((f*x + e)/(sqrt(b*x^3 - a)*(b^(1/3)*x + a^(1/3)*(sqrt(3) - 1))), x)","F",0
134,0,0,0,0.000000," ","integrate((f*x+e)/(b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-b*x^3 - a)*(b^(1/3)*x - a^(1/3)*(sqrt(3) - 1))), x)","F",0
135,0,0,0,0.000000," ","integrate(x/(1+x+3^(1/2))/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} + 1} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(x^3 + 1)*(x + sqrt(3) + 1)), x)","F",0
136,0,0,0,0.000000," ","integrate(x/(1-x+3^(1/2))/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{-x^{3} + 1} {\left(x - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(-x^3 + 1)*(x - sqrt(3) - 1)), x)","F",0
137,0,0,0,0.000000," ","integrate(x/(1-x+3^(1/2))/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{x^{3} - 1} {\left(x - \sqrt{3} - 1\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(x^3 - 1)*(x - sqrt(3) - 1)), x)","F",0
138,0,0,0,0.000000," ","integrate(x/(1+x+3^(1/2))/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-x^{3} - 1} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(-x^3 - 1)*(x + sqrt(3) + 1)), x)","F",0
139,0,0,0,0.000000," ","integrate(x/(1+x-3^(1/2))/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} + 1} {\left(x - \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(x^3 + 1)*(x - sqrt(3) + 1)), x)","F",0
140,0,0,0,0.000000," ","integrate(x/(b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b x^{3} + a} {\left(b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x^3 + a)*(b^(1/3)*x - a^(1/3)*(sqrt(3) - 1))), x)","F",0
141,0,0,0,0.000000," ","integrate(x/(-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{-b x^{3} + a} {\left(b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(-b*x^3 + a)*(b^(1/3)*x + a^(1/3)*(sqrt(3) - 1))), x)","F",0
142,0,0,0,0.000000," ","integrate(x/(-b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(b*x^3-a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{b x^{3} - a} {\left(b^{\frac{1}{3}} x + a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(b*x^3 - a)*(b^(1/3)*x + a^(1/3)*(sqrt(3) - 1))), x)","F",0
143,0,0,0,0.000000," ","integrate(x/(b^(1/3)*x+a^(1/3)*(1-3^(1/2)))/(-b*x^3-a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-b x^{3} - a} {\left(b^{\frac{1}{3}} x - a^{\frac{1}{3}} {\left(\sqrt{3} - 1\right)}\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(-b*x^3 - a)*(b^(1/3)*x - a^(1/3)*(sqrt(3) - 1))), x)","F",0
144,0,0,0,0.000000," ","integrate((1+x+3^(1/2))/(d*x+c)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + \sqrt{3} + 1}{\sqrt{x^{3} + 1} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((x + sqrt(3) + 1)/(sqrt(x^3 + 1)*(d*x + c)), x)","F",0
145,0,0,0,0.000000," ","integrate((1-x+3^(1/2))/(d*x+c)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - \sqrt{3} - 1}{\sqrt{-x^{3} + 1} {\left(d x + c\right)}}\,{d x}"," ",0,"-integrate((x - sqrt(3) - 1)/(sqrt(-x^3 + 1)*(d*x + c)), x)","F",0
146,0,0,0,0.000000," ","integrate((1-x+3^(1/2))/(d*x+c)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - \sqrt{3} - 1}{\sqrt{x^{3} - 1} {\left(d x + c\right)}}\,{d x}"," ",0,"-integrate((x - sqrt(3) - 1)/(sqrt(x^3 - 1)*(d*x + c)), x)","F",0
147,0,0,0,0.000000," ","integrate((1+x+3^(1/2))/(d*x+c)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + \sqrt{3} + 1}{\sqrt{-x^{3} - 1} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((x + sqrt(3) + 1)/(sqrt(-x^3 - 1)*(d*x + c)), x)","F",0
148,0,0,0,0.000000," ","integrate((1+x-3^(1/2))/(d*x+c)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - \sqrt{3} + 1}{\sqrt{x^{3} + 1} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((x - sqrt(3) + 1)/(sqrt(x^3 + 1)*(d*x + c)), x)","F",0
149,0,0,0,0.000000," ","integrate((1-x-3^(1/2))/(d*x+c)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x + \sqrt{3} - 1}{\sqrt{-x^{3} + 1} {\left(d x + c\right)}}\,{d x}"," ",0,"-integrate((x + sqrt(3) - 1)/(sqrt(-x^3 + 1)*(d*x + c)), x)","F",0
150,0,0,0,0.000000," ","integrate((1-x-3^(1/2))/(d*x+c)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x + \sqrt{3} - 1}{\sqrt{x^{3} - 1} {\left(d x + c\right)}}\,{d x}"," ",0,"-integrate((x + sqrt(3) - 1)/(sqrt(x^3 - 1)*(d*x + c)), x)","F",0
151,0,0,0,0.000000," ","integrate((1+x-3^(1/2))/(d*x+c)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - \sqrt{3} + 1}{\sqrt{-x^{3} - 1} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((x - sqrt(3) + 1)/(sqrt(-x^3 - 1)*(d*x + c)), x)","F",0
152,0,0,0,0.000000," ","integrate((1+x+3^(1/2))/x/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + \sqrt{3} + 1}{\sqrt{x^{3} + 1} x}\,{d x}"," ",0,"integrate((x + sqrt(3) + 1)/(sqrt(x^3 + 1)*x), x)","F",0
153,0,0,0,0.000000," ","integrate((1-x+3^(1/2))/x/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - \sqrt{3} - 1}{\sqrt{-x^{3} + 1} x}\,{d x}"," ",0,"-integrate((x - sqrt(3) - 1)/(sqrt(-x^3 + 1)*x), x)","F",0
154,0,0,0,0.000000," ","integrate((1-x+3^(1/2))/x/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - \sqrt{3} - 1}{\sqrt{x^{3} - 1} x}\,{d x}"," ",0,"-integrate((x - sqrt(3) - 1)/(sqrt(x^3 - 1)*x), x)","F",0
155,0,0,0,0.000000," ","integrate((1+x+3^(1/2))/x/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + \sqrt{3} + 1}{\sqrt{-x^{3} - 1} x}\,{d x}"," ",0,"integrate((x + sqrt(3) + 1)/(sqrt(-x^3 - 1)*x), x)","F",0
156,0,0,0,0.000000," ","integrate((1+x-3^(1/2))/x/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - \sqrt{3} + 1}{\sqrt{x^{3} + 1} x}\,{d x}"," ",0,"integrate((x - sqrt(3) + 1)/(sqrt(x^3 + 1)*x), x)","F",0
157,0,0,0,0.000000," ","integrate((1-x-3^(1/2))/x/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x + \sqrt{3} - 1}{\sqrt{-x^{3} + 1} x}\,{d x}"," ",0,"-integrate((x + sqrt(3) - 1)/(sqrt(-x^3 + 1)*x), x)","F",0
158,0,0,0,0.000000," ","integrate((1-x-3^(1/2))/x/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x + \sqrt{3} - 1}{\sqrt{x^{3} - 1} x}\,{d x}"," ",0,"-integrate((x + sqrt(3) - 1)/(sqrt(x^3 - 1)*x), x)","F",0
159,0,0,0,0.000000," ","integrate((1+x-3^(1/2))/x/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - \sqrt{3} + 1}{\sqrt{-x^{3} - 1} x}\,{d x}"," ",0,"integrate((x - sqrt(3) + 1)/(sqrt(-x^3 - 1)*x), x)","F",0
160,0,0,0,0.000000," ","integrate(x/(3+x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} + 1} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(x^3 + 1)*(x + 3)), x)","F",0
161,0,0,0,0.000000," ","integrate(x/(3+x)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-x^{3} + 1} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(-x^3 + 1)*(x + 3)), x)","F",0
162,0,0,0,0.000000," ","integrate(x/(3+x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} - 1} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(x^3 - 1)*(x + 3)), x)","F",0
163,0,0,0,0.000000," ","integrate(x/(3+x)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-x^{3} - 1} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(-x^3 - 1)*(x + 3)), x)","F",0
164,0,0,0,0.000000," ","integrate((f*x+e)/(d*x+c)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{x^{3} + 1} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(x^3 + 1)*(d*x + c)), x)","F",0
165,0,0,0,0.000000," ","integrate((f*x+e)/(d*x+c)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-x^{3} + 1} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-x^3 + 1)*(d*x + c)), x)","F",0
166,0,0,0,0.000000," ","integrate((f*x+e)/(d*x+c)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{x^{3} - 1} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(x^3 - 1)*(d*x + c)), x)","F",0
167,0,0,0,0.000000," ","integrate((f*x+e)/(d*x+c)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-x^{3} - 1} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-x^3 - 1)*(d*x + c)), x)","F",0
168,0,0,0,0.000000," ","integrate((f*x+e)/x/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{x^{3} + 1} x}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(x^3 + 1)*x), x)","F",0
169,0,0,0,0.000000," ","integrate((f*x+e)/x/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-x^{3} + 1} x}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-x^3 + 1)*x), x)","F",0
170,0,0,0,0.000000," ","integrate((f*x+e)/x/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{x^{3} - 1} x}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(x^3 - 1)*x), x)","F",0
171,0,0,0,0.000000," ","integrate((f*x+e)/x/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{f x + e}{\sqrt{-x^{3} - 1} x}\,{d x}"," ",0,"integrate((f*x + e)/(sqrt(-x^3 - 1)*x), x)","F",0
172,0,0,0,0.000000," ","integrate((-d*x+c)/(d*x+c)/(d^3*x^3+2*c^3)^(1/3),x, algorithm=""maxima"")","-\int \frac{d x - c}{{\left(d^{3} x^{3} + 2 \, c^{3}\right)}^{\frac{1}{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"-integrate((d*x - c)/((d^3*x^3 + 2*c^3)^(1/3)*(d*x + c)), x)","F",0
173,0,0,0,0.000000," ","integrate((f*x+e)/(d*x+c)/(d^3*x^3-c^3)^(1/3),x, algorithm=""maxima"")","\int \frac{f x + e}{{\left(d^{3} x^{3} - c^{3}\right)}^{\frac{1}{3}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)/((d^3*x^3 - c^3)^(1/3)*(d*x + c)), x)","F",0
174,1,253,0,0.984084," ","integrate(x^2*(b*x+a)^n*(d*x^3+c),x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n} c}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}} + \frac{{\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{6} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a b^{5} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{2} b^{4} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{3} b^{3} x^{3} - 60 \, {\left(n^{2} + n\right)} a^{4} b^{2} x^{2} + 120 \, a^{5} b n x - 120 \, a^{6}\right)} {\left(b x + a\right)}^{n} d}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{6}}"," ",0,"((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n*c/((n^3 + 6*n^2 + 11*n + 6)*b^3) + ((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^6*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a*b^5*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^2*b^4*x^4 + 20*(n^3 + 3*n^2 + 2*n)*a^3*b^3*x^3 - 60*(n^2 + n)*a^4*b^2*x^2 + 120*a^5*b*n*x - 120*a^6)*(b*x + a)^n*d/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^6)","A",0
175,1,184,0,1.019581," ","integrate(x*(b*x+a)^n*(d*x^3+c),x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n} c}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}} + \frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b n x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{n} d}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n*c/((n^2 + 3*n + 2)*b^2) + ((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*x^3 + 12*(n^2 + n)*a^3*b^2*x^2 - 24*a^4*b*n*x + 24*a^5)*(b*x + a)^n*d/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5)","A",0
176,1,122,0,0.956254," ","integrate((b*x+a)^n*(d*x^3+c),x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{n + 1} c}{b {\left(n + 1\right)}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n} d}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}}"," ",0,"(b*x + a)^(n + 1)*c/(b*(n + 1)) + ((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n*d/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4)","A",0
177,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x^3+c)/x,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((d*x^3 + c)*(b*x + a)^n/x, x)","F",0
178,1,601,0,0.809744," ","integrate(x^2*(b*x+a)^n*(d*x^3+c)^2,x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n} c^{2}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}} + \frac{2 \, {\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{6} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a b^{5} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{2} b^{4} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{3} b^{3} x^{3} - 60 \, {\left(n^{2} + n\right)} a^{4} b^{2} x^{2} + 120 \, a^{5} b n x - 120 \, a^{6}\right)} {\left(b x + a\right)}^{n} c d}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{6}} + \frac{{\left({\left(n^{8} + 36 \, n^{7} + 546 \, n^{6} + 4536 \, n^{5} + 22449 \, n^{4} + 67284 \, n^{3} + 118124 \, n^{2} + 109584 \, n + 40320\right)} b^{9} x^{9} + {\left(n^{8} + 28 \, n^{7} + 322 \, n^{6} + 1960 \, n^{5} + 6769 \, n^{4} + 13132 \, n^{3} + 13068 \, n^{2} + 5040 \, n\right)} a b^{8} x^{8} - 8 \, {\left(n^{7} + 21 \, n^{6} + 175 \, n^{5} + 735 \, n^{4} + 1624 \, n^{3} + 1764 \, n^{2} + 720 \, n\right)} a^{2} b^{7} x^{7} + 56 \, {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a^{3} b^{6} x^{6} - 336 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{4} b^{5} x^{5} + 1680 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{5} b^{4} x^{4} - 6720 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{6} b^{3} x^{3} + 20160 \, {\left(n^{2} + n\right)} a^{7} b^{2} x^{2} - 40320 \, a^{8} b n x + 40320 \, a^{9}\right)} {\left(b x + a\right)}^{n} d^{2}}{{\left(n^{9} + 45 \, n^{8} + 870 \, n^{7} + 9450 \, n^{6} + 63273 \, n^{5} + 269325 \, n^{4} + 723680 \, n^{3} + 1172700 \, n^{2} + 1026576 \, n + 362880\right)} b^{9}}"," ",0,"((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n*c^2/((n^3 + 6*n^2 + 11*n + 6)*b^3) + 2*((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^6*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a*b^5*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^2*b^4*x^4 + 20*(n^3 + 3*n^2 + 2*n)*a^3*b^3*x^3 - 60*(n^2 + n)*a^4*b^2*x^2 + 120*a^5*b*n*x - 120*a^6)*(b*x + a)^n*c*d/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^6) + ((n^8 + 36*n^7 + 546*n^6 + 4536*n^5 + 22449*n^4 + 67284*n^3 + 118124*n^2 + 109584*n + 40320)*b^9*x^9 + (n^8 + 28*n^7 + 322*n^6 + 1960*n^5 + 6769*n^4 + 13132*n^3 + 13068*n^2 + 5040*n)*a*b^8*x^8 - 8*(n^7 + 21*n^6 + 175*n^5 + 735*n^4 + 1624*n^3 + 1764*n^2 + 720*n)*a^2*b^7*x^7 + 56*(n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a^3*b^6*x^6 - 336*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^4*b^5*x^5 + 1680*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^5*b^4*x^4 - 6720*(n^3 + 3*n^2 + 2*n)*a^6*b^3*x^3 + 20160*(n^2 + n)*a^7*b^2*x^2 - 40320*a^8*b*n*x + 40320*a^9)*(b*x + a)^n*d^2/((n^9 + 45*n^8 + 870*n^7 + 9450*n^6 + 63273*n^5 + 269325*n^4 + 723680*n^3 + 1172700*n^2 + 1026576*n + 362880)*b^9)","B",0
179,1,474,0,0.984090," ","integrate(x*(b*x+a)^n*(d*x^3+c)^2,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n} c^{2}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}} + \frac{2 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b n x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{n} c d}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}} + \frac{{\left({\left(n^{7} + 28 \, n^{6} + 322 \, n^{5} + 1960 \, n^{4} + 6769 \, n^{3} + 13132 \, n^{2} + 13068 \, n + 5040\right)} b^{8} x^{8} + {\left(n^{7} + 21 \, n^{6} + 175 \, n^{5} + 735 \, n^{4} + 1624 \, n^{3} + 1764 \, n^{2} + 720 \, n\right)} a b^{7} x^{7} - 7 \, {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a^{2} b^{6} x^{6} + 42 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{3} b^{5} x^{5} - 210 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{4} b^{4} x^{4} + 840 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{5} b^{3} x^{3} - 2520 \, {\left(n^{2} + n\right)} a^{6} b^{2} x^{2} + 5040 \, a^{7} b n x - 5040 \, a^{8}\right)} {\left(b x + a\right)}^{n} d^{2}}{{\left(n^{8} + 36 \, n^{7} + 546 \, n^{6} + 4536 \, n^{5} + 22449 \, n^{4} + 67284 \, n^{3} + 118124 \, n^{2} + 109584 \, n + 40320\right)} b^{8}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n*c^2/((n^2 + 3*n + 2)*b^2) + 2*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*x^3 + 12*(n^2 + n)*a^3*b^2*x^2 - 24*a^4*b*n*x + 24*a^5)*(b*x + a)^n*c*d/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5) + ((n^7 + 28*n^6 + 322*n^5 + 1960*n^4 + 6769*n^3 + 13132*n^2 + 13068*n + 5040)*b^8*x^8 + (n^7 + 21*n^6 + 175*n^5 + 735*n^4 + 1624*n^3 + 1764*n^2 + 720*n)*a*b^7*x^7 - 7*(n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a^2*b^6*x^6 + 42*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^3*b^5*x^5 - 210*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^4*b^4*x^4 + 840*(n^3 + 3*n^2 + 2*n)*a^5*b^3*x^3 - 2520*(n^2 + n)*a^6*b^2*x^2 + 5040*a^7*b*n*x - 5040*a^8)*(b*x + a)^n*d^2/((n^8 + 36*n^7 + 546*n^6 + 4536*n^5 + 22449*n^4 + 67284*n^3 + 118124*n^2 + 109584*n + 40320)*b^8)","A",0
180,1,359,0,0.663088," ","integrate((b*x+a)^n*(d*x^3+c)^2,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{n + 1} c^{2}}{b {\left(n + 1\right)}} + \frac{2 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n} c d}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}} + \frac{{\left({\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{7} x^{7} + {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a b^{6} x^{6} - 6 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{2} b^{5} x^{5} + 30 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{3} b^{4} x^{4} - 120 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{4} b^{3} x^{3} + 360 \, {\left(n^{2} + n\right)} a^{5} b^{2} x^{2} - 720 \, a^{6} b n x + 720 \, a^{7}\right)} {\left(b x + a\right)}^{n} d^{2}}{{\left(n^{7} + 28 \, n^{6} + 322 \, n^{5} + 1960 \, n^{4} + 6769 \, n^{3} + 13132 \, n^{2} + 13068 \, n + 5040\right)} b^{7}}"," ",0,"(b*x + a)^(n + 1)*c^2/(b*(n + 1)) + 2*((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n*c*d/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4) + ((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^7*x^7 + (n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a*b^6*x^6 - 6*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^2*b^5*x^5 + 30*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^3*b^4*x^4 - 120*(n^3 + 3*n^2 + 2*n)*a^4*b^3*x^3 + 360*(n^2 + n)*a^5*b^2*x^2 - 720*a^6*b*n*x + 720*a^7)*(b*x + a)^n*d^2/((n^7 + 28*n^6 + 322*n^5 + 1960*n^4 + 6769*n^3 + 13132*n^2 + 13068*n + 5040)*b^7)","A",0
181,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x^3+c)^2/x,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{2} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((d*x^3 + c)^2*(b*x + a)^n/x, x)","F",0
182,1,1153,0,0.901216," ","integrate(x^2*(b*x+a)^n*(d*x^3+c)^3,x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n} c^{3}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}} + \frac{3 \, {\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{6} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a b^{5} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{2} b^{4} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{3} b^{3} x^{3} - 60 \, {\left(n^{2} + n\right)} a^{4} b^{2} x^{2} + 120 \, a^{5} b n x - 120 \, a^{6}\right)} {\left(b x + a\right)}^{n} c^{2} d}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{6}} + \frac{3 \, {\left({\left(n^{8} + 36 \, n^{7} + 546 \, n^{6} + 4536 \, n^{5} + 22449 \, n^{4} + 67284 \, n^{3} + 118124 \, n^{2} + 109584 \, n + 40320\right)} b^{9} x^{9} + {\left(n^{8} + 28 \, n^{7} + 322 \, n^{6} + 1960 \, n^{5} + 6769 \, n^{4} + 13132 \, n^{3} + 13068 \, n^{2} + 5040 \, n\right)} a b^{8} x^{8} - 8 \, {\left(n^{7} + 21 \, n^{6} + 175 \, n^{5} + 735 \, n^{4} + 1624 \, n^{3} + 1764 \, n^{2} + 720 \, n\right)} a^{2} b^{7} x^{7} + 56 \, {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a^{3} b^{6} x^{6} - 336 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{4} b^{5} x^{5} + 1680 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{5} b^{4} x^{4} - 6720 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{6} b^{3} x^{3} + 20160 \, {\left(n^{2} + n\right)} a^{7} b^{2} x^{2} - 40320 \, a^{8} b n x + 40320 \, a^{9}\right)} {\left(b x + a\right)}^{n} c d^{2}}{{\left(n^{9} + 45 \, n^{8} + 870 \, n^{7} + 9450 \, n^{6} + 63273 \, n^{5} + 269325 \, n^{4} + 723680 \, n^{3} + 1172700 \, n^{2} + 1026576 \, n + 362880\right)} b^{9}} + \frac{{\left({\left(n^{11} + 66 \, n^{10} + 1925 \, n^{9} + 32670 \, n^{8} + 357423 \, n^{7} + 2637558 \, n^{6} + 13339535 \, n^{5} + 45995730 \, n^{4} + 105258076 \, n^{3} + 150917976 \, n^{2} + 120543840 \, n + 39916800\right)} b^{12} x^{12} + {\left(n^{11} + 55 \, n^{10} + 1320 \, n^{9} + 18150 \, n^{8} + 157773 \, n^{7} + 902055 \, n^{6} + 3416930 \, n^{5} + 8409500 \, n^{4} + 12753576 \, n^{3} + 10628640 \, n^{2} + 3628800 \, n\right)} a b^{11} x^{11} - 11 \, {\left(n^{10} + 45 \, n^{9} + 870 \, n^{8} + 9450 \, n^{7} + 63273 \, n^{6} + 269325 \, n^{5} + 723680 \, n^{4} + 1172700 \, n^{3} + 1026576 \, n^{2} + 362880 \, n\right)} a^{2} b^{10} x^{10} + 110 \, {\left(n^{9} + 36 \, n^{8} + 546 \, n^{7} + 4536 \, n^{6} + 22449 \, n^{5} + 67284 \, n^{4} + 118124 \, n^{3} + 109584 \, n^{2} + 40320 \, n\right)} a^{3} b^{9} x^{9} - 990 \, {\left(n^{8} + 28 \, n^{7} + 322 \, n^{6} + 1960 \, n^{5} + 6769 \, n^{4} + 13132 \, n^{3} + 13068 \, n^{2} + 5040 \, n\right)} a^{4} b^{8} x^{8} + 7920 \, {\left(n^{7} + 21 \, n^{6} + 175 \, n^{5} + 735 \, n^{4} + 1624 \, n^{3} + 1764 \, n^{2} + 720 \, n\right)} a^{5} b^{7} x^{7} - 55440 \, {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a^{6} b^{6} x^{6} + 332640 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{7} b^{5} x^{5} - 1663200 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{8} b^{4} x^{4} + 6652800 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{9} b^{3} x^{3} - 19958400 \, {\left(n^{2} + n\right)} a^{10} b^{2} x^{2} + 39916800 \, a^{11} b n x - 39916800 \, a^{12}\right)} {\left(b x + a\right)}^{n} d^{3}}{{\left(n^{12} + 78 \, n^{11} + 2717 \, n^{10} + 55770 \, n^{9} + 749463 \, n^{8} + 6926634 \, n^{7} + 44990231 \, n^{6} + 206070150 \, n^{5} + 657206836 \, n^{4} + 1414014888 \, n^{3} + 1931559552 \, n^{2} + 1486442880 \, n + 479001600\right)} b^{12}}"," ",0,"((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n*c^3/((n^3 + 6*n^2 + 11*n + 6)*b^3) + 3*((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^6*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a*b^5*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^2*b^4*x^4 + 20*(n^3 + 3*n^2 + 2*n)*a^3*b^3*x^3 - 60*(n^2 + n)*a^4*b^2*x^2 + 120*a^5*b*n*x - 120*a^6)*(b*x + a)^n*c^2*d/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^6) + 3*((n^8 + 36*n^7 + 546*n^6 + 4536*n^5 + 22449*n^4 + 67284*n^3 + 118124*n^2 + 109584*n + 40320)*b^9*x^9 + (n^8 + 28*n^7 + 322*n^6 + 1960*n^5 + 6769*n^4 + 13132*n^3 + 13068*n^2 + 5040*n)*a*b^8*x^8 - 8*(n^7 + 21*n^6 + 175*n^5 + 735*n^4 + 1624*n^3 + 1764*n^2 + 720*n)*a^2*b^7*x^7 + 56*(n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a^3*b^6*x^6 - 336*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^4*b^5*x^5 + 1680*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^5*b^4*x^4 - 6720*(n^3 + 3*n^2 + 2*n)*a^6*b^3*x^3 + 20160*(n^2 + n)*a^7*b^2*x^2 - 40320*a^8*b*n*x + 40320*a^9)*(b*x + a)^n*c*d^2/((n^9 + 45*n^8 + 870*n^7 + 9450*n^6 + 63273*n^5 + 269325*n^4 + 723680*n^3 + 1172700*n^2 + 1026576*n + 362880)*b^9) + ((n^11 + 66*n^10 + 1925*n^9 + 32670*n^8 + 357423*n^7 + 2637558*n^6 + 13339535*n^5 + 45995730*n^4 + 105258076*n^3 + 150917976*n^2 + 120543840*n + 39916800)*b^12*x^12 + (n^11 + 55*n^10 + 1320*n^9 + 18150*n^8 + 157773*n^7 + 902055*n^6 + 3416930*n^5 + 8409500*n^4 + 12753576*n^3 + 10628640*n^2 + 3628800*n)*a*b^11*x^11 - 11*(n^10 + 45*n^9 + 870*n^8 + 9450*n^7 + 63273*n^6 + 269325*n^5 + 723680*n^4 + 1172700*n^3 + 1026576*n^2 + 362880*n)*a^2*b^10*x^10 + 110*(n^9 + 36*n^8 + 546*n^7 + 4536*n^6 + 22449*n^5 + 67284*n^4 + 118124*n^3 + 109584*n^2 + 40320*n)*a^3*b^9*x^9 - 990*(n^8 + 28*n^7 + 322*n^6 + 1960*n^5 + 6769*n^4 + 13132*n^3 + 13068*n^2 + 5040*n)*a^4*b^8*x^8 + 7920*(n^7 + 21*n^6 + 175*n^5 + 735*n^4 + 1624*n^3 + 1764*n^2 + 720*n)*a^5*b^7*x^7 - 55440*(n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a^6*b^6*x^6 + 332640*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^7*b^5*x^5 - 1663200*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^8*b^4*x^4 + 6652800*(n^3 + 3*n^2 + 2*n)*a^9*b^3*x^3 - 19958400*(n^2 + n)*a^10*b^2*x^2 + 39916800*a^11*b*n*x - 39916800*a^12)*(b*x + a)^n*d^3/((n^12 + 78*n^11 + 2717*n^10 + 55770*n^9 + 749463*n^8 + 6926634*n^7 + 44990231*n^6 + 206070150*n^5 + 657206836*n^4 + 1414014888*n^3 + 1931559552*n^2 + 1486442880*n + 479001600)*b^12)","B",0
183,1,953,0,0.852973," ","integrate(x*(b*x+a)^n*(d*x^3+c)^3,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n} c^{3}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}} + \frac{3 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b n x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{n} c^{2} d}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}} + \frac{3 \, {\left({\left(n^{7} + 28 \, n^{6} + 322 \, n^{5} + 1960 \, n^{4} + 6769 \, n^{3} + 13132 \, n^{2} + 13068 \, n + 5040\right)} b^{8} x^{8} + {\left(n^{7} + 21 \, n^{6} + 175 \, n^{5} + 735 \, n^{4} + 1624 \, n^{3} + 1764 \, n^{2} + 720 \, n\right)} a b^{7} x^{7} - 7 \, {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a^{2} b^{6} x^{6} + 42 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{3} b^{5} x^{5} - 210 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{4} b^{4} x^{4} + 840 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{5} b^{3} x^{3} - 2520 \, {\left(n^{2} + n\right)} a^{6} b^{2} x^{2} + 5040 \, a^{7} b n x - 5040 \, a^{8}\right)} {\left(b x + a\right)}^{n} c d^{2}}{{\left(n^{8} + 36 \, n^{7} + 546 \, n^{6} + 4536 \, n^{5} + 22449 \, n^{4} + 67284 \, n^{3} + 118124 \, n^{2} + 109584 \, n + 40320\right)} b^{8}} + \frac{{\left({\left(n^{10} + 55 \, n^{9} + 1320 \, n^{8} + 18150 \, n^{7} + 157773 \, n^{6} + 902055 \, n^{5} + 3416930 \, n^{4} + 8409500 \, n^{3} + 12753576 \, n^{2} + 10628640 \, n + 3628800\right)} b^{11} x^{11} + {\left(n^{10} + 45 \, n^{9} + 870 \, n^{8} + 9450 \, n^{7} + 63273 \, n^{6} + 269325 \, n^{5} + 723680 \, n^{4} + 1172700 \, n^{3} + 1026576 \, n^{2} + 362880 \, n\right)} a b^{10} x^{10} - 10 \, {\left(n^{9} + 36 \, n^{8} + 546 \, n^{7} + 4536 \, n^{6} + 22449 \, n^{5} + 67284 \, n^{4} + 118124 \, n^{3} + 109584 \, n^{2} + 40320 \, n\right)} a^{2} b^{9} x^{9} + 90 \, {\left(n^{8} + 28 \, n^{7} + 322 \, n^{6} + 1960 \, n^{5} + 6769 \, n^{4} + 13132 \, n^{3} + 13068 \, n^{2} + 5040 \, n\right)} a^{3} b^{8} x^{8} - 720 \, {\left(n^{7} + 21 \, n^{6} + 175 \, n^{5} + 735 \, n^{4} + 1624 \, n^{3} + 1764 \, n^{2} + 720 \, n\right)} a^{4} b^{7} x^{7} + 5040 \, {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a^{5} b^{6} x^{6} - 30240 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{6} b^{5} x^{5} + 151200 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{7} b^{4} x^{4} - 604800 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{8} b^{3} x^{3} + 1814400 \, {\left(n^{2} + n\right)} a^{9} b^{2} x^{2} - 3628800 \, a^{10} b n x + 3628800 \, a^{11}\right)} {\left(b x + a\right)}^{n} d^{3}}{{\left(n^{11} + 66 \, n^{10} + 1925 \, n^{9} + 32670 \, n^{8} + 357423 \, n^{7} + 2637558 \, n^{6} + 13339535 \, n^{5} + 45995730 \, n^{4} + 105258076 \, n^{3} + 150917976 \, n^{2} + 120543840 \, n + 39916800\right)} b^{11}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n*c^3/((n^2 + 3*n + 2)*b^2) + 3*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*x^3 + 12*(n^2 + n)*a^3*b^2*x^2 - 24*a^4*b*n*x + 24*a^5)*(b*x + a)^n*c^2*d/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5) + 3*((n^7 + 28*n^6 + 322*n^5 + 1960*n^4 + 6769*n^3 + 13132*n^2 + 13068*n + 5040)*b^8*x^8 + (n^7 + 21*n^6 + 175*n^5 + 735*n^4 + 1624*n^3 + 1764*n^2 + 720*n)*a*b^7*x^7 - 7*(n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a^2*b^6*x^6 + 42*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^3*b^5*x^5 - 210*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^4*b^4*x^4 + 840*(n^3 + 3*n^2 + 2*n)*a^5*b^3*x^3 - 2520*(n^2 + n)*a^6*b^2*x^2 + 5040*a^7*b*n*x - 5040*a^8)*(b*x + a)^n*c*d^2/((n^8 + 36*n^7 + 546*n^6 + 4536*n^5 + 22449*n^4 + 67284*n^3 + 118124*n^2 + 109584*n + 40320)*b^8) + ((n^10 + 55*n^9 + 1320*n^8 + 18150*n^7 + 157773*n^6 + 902055*n^5 + 3416930*n^4 + 8409500*n^3 + 12753576*n^2 + 10628640*n + 3628800)*b^11*x^11 + (n^10 + 45*n^9 + 870*n^8 + 9450*n^7 + 63273*n^6 + 269325*n^5 + 723680*n^4 + 1172700*n^3 + 1026576*n^2 + 362880*n)*a*b^10*x^10 - 10*(n^9 + 36*n^8 + 546*n^7 + 4536*n^6 + 22449*n^5 + 67284*n^4 + 118124*n^3 + 109584*n^2 + 40320*n)*a^2*b^9*x^9 + 90*(n^8 + 28*n^7 + 322*n^6 + 1960*n^5 + 6769*n^4 + 13132*n^3 + 13068*n^2 + 5040*n)*a^3*b^8*x^8 - 720*(n^7 + 21*n^6 + 175*n^5 + 735*n^4 + 1624*n^3 + 1764*n^2 + 720*n)*a^4*b^7*x^7 + 5040*(n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a^5*b^6*x^6 - 30240*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^6*b^5*x^5 + 151200*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^7*b^4*x^4 - 604800*(n^3 + 3*n^2 + 2*n)*a^8*b^3*x^3 + 1814400*(n^2 + n)*a^9*b^2*x^2 - 3628800*a^10*b*n*x + 3628800*a^11)*(b*x + a)^n*d^3/((n^11 + 66*n^10 + 1925*n^9 + 32670*n^8 + 357423*n^7 + 2637558*n^6 + 13339535*n^5 + 45995730*n^4 + 105258076*n^3 + 150917976*n^2 + 120543840*n + 39916800)*b^11)","B",0
184,1,770,0,0.784723," ","integrate((b*x+a)^n*(d*x^3+c)^3,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{n + 1} c^{3}}{b {\left(n + 1\right)}} + \frac{3 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n} c^{2} d}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}} + \frac{3 \, {\left({\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{7} x^{7} + {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a b^{6} x^{6} - 6 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{2} b^{5} x^{5} + 30 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{3} b^{4} x^{4} - 120 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{4} b^{3} x^{3} + 360 \, {\left(n^{2} + n\right)} a^{5} b^{2} x^{2} - 720 \, a^{6} b n x + 720 \, a^{7}\right)} {\left(b x + a\right)}^{n} c d^{2}}{{\left(n^{7} + 28 \, n^{6} + 322 \, n^{5} + 1960 \, n^{4} + 6769 \, n^{3} + 13132 \, n^{2} + 13068 \, n + 5040\right)} b^{7}} + \frac{{\left({\left(n^{9} + 45 \, n^{8} + 870 \, n^{7} + 9450 \, n^{6} + 63273 \, n^{5} + 269325 \, n^{4} + 723680 \, n^{3} + 1172700 \, n^{2} + 1026576 \, n + 362880\right)} b^{10} x^{10} + {\left(n^{9} + 36 \, n^{8} + 546 \, n^{7} + 4536 \, n^{6} + 22449 \, n^{5} + 67284 \, n^{4} + 118124 \, n^{3} + 109584 \, n^{2} + 40320 \, n\right)} a b^{9} x^{9} - 9 \, {\left(n^{8} + 28 \, n^{7} + 322 \, n^{6} + 1960 \, n^{5} + 6769 \, n^{4} + 13132 \, n^{3} + 13068 \, n^{2} + 5040 \, n\right)} a^{2} b^{8} x^{8} + 72 \, {\left(n^{7} + 21 \, n^{6} + 175 \, n^{5} + 735 \, n^{4} + 1624 \, n^{3} + 1764 \, n^{2} + 720 \, n\right)} a^{3} b^{7} x^{7} - 504 \, {\left(n^{6} + 15 \, n^{5} + 85 \, n^{4} + 225 \, n^{3} + 274 \, n^{2} + 120 \, n\right)} a^{4} b^{6} x^{6} + 3024 \, {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a^{5} b^{5} x^{5} - 15120 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{6} b^{4} x^{4} + 60480 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{7} b^{3} x^{3} - 181440 \, {\left(n^{2} + n\right)} a^{8} b^{2} x^{2} + 362880 \, a^{9} b n x - 362880 \, a^{10}\right)} {\left(b x + a\right)}^{n} d^{3}}{{\left(n^{10} + 55 \, n^{9} + 1320 \, n^{8} + 18150 \, n^{7} + 157773 \, n^{6} + 902055 \, n^{5} + 3416930 \, n^{4} + 8409500 \, n^{3} + 12753576 \, n^{2} + 10628640 \, n + 3628800\right)} b^{10}}"," ",0,"(b*x + a)^(n + 1)*c^3/(b*(n + 1)) + 3*((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n*c^2*d/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4) + 3*((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^7*x^7 + (n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a*b^6*x^6 - 6*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^2*b^5*x^5 + 30*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^3*b^4*x^4 - 120*(n^3 + 3*n^2 + 2*n)*a^4*b^3*x^3 + 360*(n^2 + n)*a^5*b^2*x^2 - 720*a^6*b*n*x + 720*a^7)*(b*x + a)^n*c*d^2/((n^7 + 28*n^6 + 322*n^5 + 1960*n^4 + 6769*n^3 + 13132*n^2 + 13068*n + 5040)*b^7) + ((n^9 + 45*n^8 + 870*n^7 + 9450*n^6 + 63273*n^5 + 269325*n^4 + 723680*n^3 + 1172700*n^2 + 1026576*n + 362880)*b^10*x^10 + (n^9 + 36*n^8 + 546*n^7 + 4536*n^6 + 22449*n^5 + 67284*n^4 + 118124*n^3 + 109584*n^2 + 40320*n)*a*b^9*x^9 - 9*(n^8 + 28*n^7 + 322*n^6 + 1960*n^5 + 6769*n^4 + 13132*n^3 + 13068*n^2 + 5040*n)*a^2*b^8*x^8 + 72*(n^7 + 21*n^6 + 175*n^5 + 735*n^4 + 1624*n^3 + 1764*n^2 + 720*n)*a^3*b^7*x^7 - 504*(n^6 + 15*n^5 + 85*n^4 + 225*n^3 + 274*n^2 + 120*n)*a^4*b^6*x^6 + 3024*(n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a^5*b^5*x^5 - 15120*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^6*b^4*x^4 + 60480*(n^3 + 3*n^2 + 2*n)*a^7*b^3*x^3 - 181440*(n^2 + n)*a^8*b^2*x^2 + 362880*a^9*b*n*x - 362880*a^10)*(b*x + a)^n*d^3/((n^10 + 55*n^9 + 1320*n^8 + 18150*n^7 + 157773*n^6 + 902055*n^5 + 3416930*n^4 + 8409500*n^3 + 12753576*n^2 + 10628640*n + 3628800)*b^10)","B",0
185,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x^3+c)^3/x,x, algorithm=""maxima"")","\int \frac{{\left(d x^{3} + c\right)}^{3} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((d*x^3 + c)^3*(b*x + a)^n/x, x)","F",0
186,0,0,0,0.000000," ","integrate(x^5*(f*x+e)^n/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{5}}{b x^{3} + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x^5/(b*x^3 + a), x)","F",0
187,0,0,0,0.000000," ","integrate(x^4*(f*x+e)^n/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{4}}{b x^{3} + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x^4/(b*x^3 + a), x)","F",0
188,0,0,0,0.000000," ","integrate(x^3*(f*x+e)^n/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{3}}{b x^{3} + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x^3/(b*x^3 + a), x)","F",0
189,0,0,0,0.000000," ","integrate(x^2*(f*x+e)^n/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{2}}{b x^{3} + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x^2/(b*x^3 + a), x)","F",0
190,0,0,0,0.000000," ","integrate(x*(f*x+e)^n/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x}{b x^{3} + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x/(b*x^3 + a), x)","F",0
191,0,0,0,0.000000," ","integrate((f*x+e)^n/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n}}{b x^{3} + a}\,{d x}"," ",0,"integrate((f*x + e)^n/(b*x^3 + a), x)","F",0
192,0,0,0,0.000000," ","integrate((f*x+e)^n/x/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n}}{{\left(b x^{3} + a\right)} x}\,{d x}"," ",0,"integrate((f*x + e)^n/((b*x^3 + a)*x), x)","F",0
193,0,0,0,0.000000," ","integrate((f*x+e)^n/x^2/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n}}{{\left(b x^{3} + a\right)} x^{2}}\,{d x}"," ",0,"integrate((f*x + e)^n/((b*x^3 + a)*x^2), x)","F",0
194,0,0,0,0.000000," ","integrate(x^2*(d*x+c)^(1+n)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{n + 1} x^{2}}{b x^{3} + a}\,{d x}"," ",0,"integrate((d*x + c)^(n + 1)*x^2/(b*x^3 + a), x)","F",0
195,0,0,0,0.000000," ","integrate(x^m*(f*x+e)^n/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{m}}{b x^{3} + a}\,{d x}"," ",0,"integrate((f*x + e)^n*x^m/(b*x^3 + a), x)","F",0
196,0,0,0,0.000000," ","integrate((d*x^3+c)^(1/2)/(b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x^{3} + c}}{b x + a}\,{d x}"," ",0,"integrate(sqrt(d*x^3 + c)/(b*x + a), x)","F",0
197,0,0,0,0.000000," ","integrate((e^3*x^3+d^3)^p/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(e^{3} x^{3} + d^{3}\right)}^{p}}{e x + d}\,{d x}"," ",0,"integrate((e^3*x^3 + d^3)^p/(e*x + d), x)","F",0
198,0,0,0,0.000000," ","integrate((-x^2-2*x+2)/(x^2+2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} + 2 \, x - 2}{\sqrt{x^{3} + 1} {\left(x^{2} + 2\right)}}\,{d x}"," ",0,"-integrate((x^2 + 2*x - 2)/(sqrt(x^3 + 1)*(x^2 + 2)), x)","F",0
199,0,0,0,0.000000," ","integrate((-x^2+2*x+2)/(x^2+2)/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 2 \, x - 2}{\sqrt{-x^{3} + 1} {\left(x^{2} + 2\right)}}\,{d x}"," ",0,"-integrate((x^2 - 2*x - 2)/(sqrt(-x^3 + 1)*(x^2 + 2)), x)","F",0
200,0,0,0,0.000000," ","integrate((-x^2+2*x+2)/(x^2+2)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 2 \, x - 2}{\sqrt{x^{3} - 1} {\left(x^{2} + 2\right)}}\,{d x}"," ",0,"-integrate((x^2 - 2*x - 2)/(sqrt(x^3 - 1)*(x^2 + 2)), x)","F",0
201,0,0,0,0.000000," ","integrate((-x^2-2*x+2)/(x^2+2)/(-x^3-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} + 2 \, x - 2}{\sqrt{-x^{3} - 1} {\left(x^{2} + 2\right)}}\,{d x}"," ",0,"-integrate((x^2 + 2*x - 2)/(sqrt(-x^3 - 1)*(x^2 + 2)), x)","F",0
202,-2,0,0,0.000000," ","integrate((-x^2-2*x+2)/(d*x+x^2+d+2)/(x^3+1)^(1/2),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(d^2-4*(d+2)>0)', see `assume?` for more details)Is d^2-4*(d+2) positive, negative or zero?","F(-2)",0
203,-2,0,0,0.000000," ","integrate((-x^2+2*x+2)/(d*x+x^2-d+2)/(-x^3+1)^(1/2),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(d^2-4*(2-d)>0)', see `assume?` for more details)Is d^2-4*(2-d) positive, negative or zero?","F(-2)",0
204,-2,0,0,0.000000," ","integrate((-x^2+2*x+2)/(d*x+x^2-d+2)/(x^3-1)^(1/2),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(d^2-4*(2-d)>0)', see `assume?` for more details)Is d^2-4*(2-d) positive, negative or zero?","F(-2)",0
205,-2,0,0,0.000000," ","integrate((-x^2-2*x+2)/(d*x+x^2+d+2)/(-x^3-1)^(1/2),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(d^2-4*(d+2)>0)', see `assume?` for more details)Is d^2-4*(d+2) positive, negative or zero?","F(-2)",0
206,0,0,0,0.000000," ","integrate((e*x+d)^3*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + a} {\left(e x + d\right)}^{3}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)*(e*x + d)^3, x)","F",0
207,0,0,0,0.000000," ","integrate((e*x+d)^2*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + a} {\left(e x + d\right)}^{2}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)*(e*x + d)^2, x)","F",0
208,0,0,0,0.000000," ","integrate((e*x+d)*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + a} {\left(e x + d\right)}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)*(e*x + d), x)","F",0
209,0,0,0,0.000000," ","integrate((c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a), x)","F",0
210,0,0,0,0.000000," ","integrate((c*x^4+a)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + a}}{e x + d}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)/(e*x + d), x)","F",0
211,0,0,0,0.000000," ","integrate((c*x^4+a)^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + a}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)/(e*x + d)^2, x)","F",0
212,0,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3}}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x + d)^3/sqrt(c*x^4 + a), x)","F",0
213,0,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x + d)^2/sqrt(c*x^4 + a), x)","F",0
214,0,0,0,0.000000," ","integrate((e*x+d)/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x + d}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate((e*x + d)/sqrt(c*x^4 + a), x)","F",0
215,0,0,0,0.000000," ","integrate(1/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + a}}\,{d x}"," ",0,"integrate(1/sqrt(c*x^4 + a), x)","F",0
216,0,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + a} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + a)*(e*x + d)), x)","F",0
217,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + a} {\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + a)*(e*x + d)^2), x)","F",0
218,0,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + a} {\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + a)*(e*x + d)^3), x)","F",0
219,0,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3}}{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^3/(c*x^4 + a)^(3/2), x)","F",0
220,0,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)^2/(c*x^4 + a)^(3/2), x)","F",0
221,0,0,0,0.000000," ","integrate((e*x+d)/(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{e x + d}{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + d)/(c*x^4 + a)^(3/2), x)","F",0
222,0,0,0,0.000000," ","integrate(1/(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + a)^(-3/2), x)","F",0
223,0,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + a\right)}^{\frac{3}{2}} {\left(e x + d\right)}}\,{d x}"," ",0,"integrate(1/((c*x^4 + a)^(3/2)*(e*x + d)), x)","F",0
224,0,0,0,0.000000," ","integrate(x^3*(d*x+c)^n/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{n} x^{3}}{b x^{4} + a}\,{d x}"," ",0,"integrate((d*x + c)^n*x^3/(b*x^4 + a), x)","F",0
225,0,0,0,0.000000," ","integrate(x^3*(d*x+c)^(1+n)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{n + 1} x^{3}}{b x^{4} + a}\,{d x}"," ",0,"integrate((d*x + c)^(n + 1)*x^3/(b*x^4 + a), x)","F",0
226,0,0,0,0.000000," ","integrate(1/(e*x^2+d*x+c)/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{4} + a} {\left(e x^{2} + d x + c\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^4 + a)*(e*x^2 + d*x + c)), x)","F",0
227,1,119,0,0.985341," ","integrate(x^m*(c*(b*x^2+a)^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left({\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} b^{3} c^{\frac{3}{2}} x^{7} + 3 \, {\left(m^{3} + 11 \, m^{2} + 31 \, m + 21\right)} a b^{2} c^{\frac{3}{2}} x^{5} + 3 \, {\left(m^{3} + 13 \, m^{2} + 47 \, m + 35\right)} a^{2} b c^{\frac{3}{2}} x^{3} + {\left(m^{3} + 15 \, m^{2} + 71 \, m + 105\right)} a^{3} c^{\frac{3}{2}} x\right)} x^{m}}{m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105}"," ",0,"((m^3 + 9*m^2 + 23*m + 15)*b^3*c^(3/2)*x^7 + 3*(m^3 + 11*m^2 + 31*m + 21)*a*b^2*c^(3/2)*x^5 + 3*(m^3 + 13*m^2 + 47*m + 35)*a^2*b*c^(3/2)*x^3 + (m^3 + 15*m^2 + 71*m + 105)*a^3*c^(3/2)*x)*x^m/(m^4 + 16*m^3 + 86*m^2 + 176*m + 105)","A",0
228,1,136,0,1.033291," ","integrate(x^5*(c*(b*x^2+a)^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{3}{2}} a^{2} x^{2}}{8 \, b^{2}} + \frac{{\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{3}{2}} a^{3}}{8 \, b^{3}} + \frac{{\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{5}{2}} x^{2}}{12 \, b^{2} c} - \frac{7 \, {\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{5}{2}} a}{60 \, b^{3} c}"," ",0,"1/8*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(3/2)*a^2*x^2/b^2 + 1/8*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(3/2)*a^3/b^3 + 1/12*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(5/2)*x^2/(b^2*c) - 7/60*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(5/2)*a/(b^3*c)","A",0
229,1,47,0,1.216203," ","integrate(x^4*(c*(b*x^2+a)^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{11} \, b^{3} c^{\frac{3}{2}} x^{11} + \frac{1}{3} \, a b^{2} c^{\frac{3}{2}} x^{9} + \frac{3}{7} \, a^{2} b c^{\frac{3}{2}} x^{7} + \frac{1}{5} \, a^{3} c^{\frac{3}{2}} x^{5}"," ",0,"1/11*b^3*c^(3/2)*x^11 + 1/3*a*b^2*c^(3/2)*x^9 + 3/7*a^2*b*c^(3/2)*x^7 + 1/5*a^3*c^(3/2)*x^5","A",0
230,1,98,0,1.042208," ","integrate(x^3*(c*(b*x^2+a)^2)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{3}{2}} a x^{2}}{8 \, b} - \frac{{\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{3}{2}} a^{2}}{8 \, b^{2}} + \frac{{\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{5}{2}}}{10 \, b^{2} c}"," ",0,"-1/8*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(3/2)*a*x^2/b - 1/8*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(3/2)*a^2/b^2 + 1/10*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(5/2)/(b^2*c)","A",0
231,1,47,0,1.196719," ","integrate(x^2*(c*(b*x^2+a)^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{9} \, b^{3} c^{\frac{3}{2}} x^{9} + \frac{3}{7} \, a b^{2} c^{\frac{3}{2}} x^{7} + \frac{3}{5} \, a^{2} b c^{\frac{3}{2}} x^{5} + \frac{1}{3} \, a^{3} c^{\frac{3}{2}} x^{3}"," ",0,"1/9*b^3*c^(3/2)*x^9 + 3/7*a*b^2*c^(3/2)*x^7 + 3/5*a^2*b*c^(3/2)*x^5 + 1/3*a^3*c^(3/2)*x^3","A",0
232,1,60,0,0.931919," ","integrate(x*(c*(b*x^2+a)^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{3}{2}} x^{2} + \frac{{\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{3}{2}} a}{8 \, b}"," ",0,"1/8*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(3/2)*x^2 + 1/8*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(3/2)*a/b","B",0
233,1,43,0,0.960392," ","integrate((c*(b*x^2+a)^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{7} \, b^{3} c^{\frac{3}{2}} x^{7} + \frac{3}{5} \, a b^{2} c^{\frac{3}{2}} x^{5} + a^{2} b c^{\frac{3}{2}} x^{3} + a^{3} c^{\frac{3}{2}} x"," ",0,"1/7*b^3*c^(3/2)*x^7 + 3/5*a*b^2*c^(3/2)*x^5 + a^2*b*c^(3/2)*x^3 + a^3*c^(3/2)*x","A",0
234,1,171,0,0.977186," ","integrate((c*(b*x^2+a)^2)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, \left(-1\right)^{2 \, b^{2} c x^{2} + 2 \, a b c} a^{3} c^{\frac{3}{2}} \log\left(2 \, b^{2} c x^{2} + 2 \, a b c\right) - \frac{1}{2} \, \left(-1\right)^{2 \, a b c x^{2} + 2 \, a^{2} c} a^{3} c^{\frac{3}{2}} \log\left(2 \, a b c + \frac{2 \, a^{2} c}{x^{2}}\right) + \frac{1}{4} \, \sqrt{b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c} a b c x^{2} + \frac{3}{4} \, \sqrt{b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c} a^{2} c + \frac{1}{6} \, {\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{3}{2}}"," ",0,"1/2*(-1)^(2*b^2*c*x^2 + 2*a*b*c)*a^3*c^(3/2)*log(2*b^2*c*x^2 + 2*a*b*c) - 1/2*(-1)^(2*a*b*c*x^2 + 2*a^2*c)*a^3*c^(3/2)*log(2*a*b*c + 2*a^2*c/x^2) + 1/4*sqrt(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)*a*b*c*x^2 + 3/4*sqrt(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)*a^2*c + 1/6*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(3/2)","A",0
235,1,48,0,0.970391," ","integrate((c*(b*x^2+a)^2)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{b^{3} c^{\frac{3}{2}} x^{6} + 5 \, a b^{2} c^{\frac{3}{2}} x^{4} + 15 \, a^{2} b c^{\frac{3}{2}} x^{2} - 5 \, a^{3} c^{\frac{3}{2}}}{5 \, x}"," ",0,"1/5*(b^3*c^(3/2)*x^6 + 5*a*b^2*c^(3/2)*x^4 + 15*a^2*b*c^(3/2)*x^2 - 5*a^3*c^(3/2))/x","A",0
236,1,176,0,0.985752," ","integrate((c*(b*x^2+a)^2)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{3}{2} \, \left(-1\right)^{2 \, b^{2} c x^{2} + 2 \, a b c} a^{2} b c^{\frac{3}{2}} \log\left(2 \, b^{2} c x^{2} + 2 \, a b c\right) - \frac{3}{2} \, \left(-1\right)^{2 \, a b c x^{2} + 2 \, a^{2} c} a^{2} b c^{\frac{3}{2}} \log\left(2 \, a b c + \frac{2 \, a^{2} c}{x^{2}}\right) + \frac{3}{4} \, \sqrt{b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c} b^{2} c x^{2} + \frac{9}{4} \, \sqrt{b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c} a b c - \frac{{\left(b^{2} c x^{4} + 2 \, a b c x^{2} + a^{2} c\right)}^{\frac{3}{2}}}{2 \, x^{2}}"," ",0,"3/2*(-1)^(2*b^2*c*x^2 + 2*a*b*c)*a^2*b*c^(3/2)*log(2*b^2*c*x^2 + 2*a*b*c) - 3/2*(-1)^(2*a*b*c*x^2 + 2*a^2*c)*a^2*b*c^(3/2)*log(2*a*b*c + 2*a^2*c/x^2) + 3/4*sqrt(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)*b^2*c*x^2 + 9/4*sqrt(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)*a*b*c - 1/2*(b^2*c*x^4 + 2*a*b*c*x^2 + a^2*c)^(3/2)/x^2","A",0
237,0,0,0,0.000000," ","integrate(x^2*(c*(b*x^2+a)^3)^(3/2),x, algorithm=""maxima"")","\int \left({\left(b x^{2} + a\right)}^{3} c\right)^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate(((b*x^2 + a)^3*c)^(3/2)*x^2, x)","F",0
238,1,70,0,1.080991," ","integrate(x*(c*(b*x^2+a)^3)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{4} c^{\frac{3}{2}} x^{8} + 4 \, a b^{3} c^{\frac{3}{2}} x^{6} + 6 \, a^{2} b^{2} c^{\frac{3}{2}} x^{4} + 4 \, a^{3} b c^{\frac{3}{2}} x^{2} + a^{4} c^{\frac{3}{2}}\right)} {\left(b x^{2} + a\right)}^{\frac{3}{2}}}{11 \, b}"," ",0,"1/11*(b^4*c^(3/2)*x^8 + 4*a*b^3*c^(3/2)*x^6 + 6*a^2*b^2*c^(3/2)*x^4 + 4*a^3*b*c^(3/2)*x^2 + a^4*c^(3/2))*(b*x^2 + a)^(3/2)/b","B",0
239,0,0,0,0.000000," ","integrate((c*(b*x^2+a)^3)^(3/2),x, algorithm=""maxima"")","\int \left({\left(b x^{2} + a\right)}^{3} c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(((b*x^2 + a)^3*c)^(3/2), x)","F",0
240,0,0,0,0.000000," ","integrate((c*(b*x^2+a)^3)^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\left({\left(b x^{2} + a\right)}^{3} c\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(((b*x^2 + a)^3*c)^(3/2)/x, x)","F",0
241,0,0,0,0.000000," ","integrate((c*(b*x^2+a)^3)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{\left({\left(b x^{2} + a\right)}^{3} c\right)^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate(((b*x^2 + a)^3*c)^(3/2)/x^2, x)","F",0
242,0,0,0,0.000000," ","integrate((c*(b*x^2+a)^3)^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{\left({\left(b x^{2} + a\right)}^{3} c\right)^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate(((b*x^2 + a)^3*c)^(3/2)/x^3, x)","F",0
243,0,0,0,0.000000," ","integrate(x^2*(c/(b*x^2+a))^(3/2),x, algorithm=""maxima"")","\int x^{2} \left(\frac{c}{b x^{2} + a}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x^2*(c/(b*x^2 + a))^(3/2), x)","F",0
244,1,19,0,1.062549," ","integrate(x*(c/(b*x^2+a))^(3/2),x, algorithm=""maxima"")","-\frac{c \sqrt{\frac{c}{b x^{2} + a}}}{b}"," ",0,"-c*sqrt(c/(b*x^2 + a))/b","A",0
245,0,0,0,0.000000," ","integrate((c/(b*x^2+a))^(3/2),x, algorithm=""maxima"")","\int \left(\frac{c}{b x^{2} + a}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c/(b*x^2 + a))^(3/2), x)","F",0
246,1,80,0,1.953437," ","integrate((c/(b*x^2+a))^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, c {\left(\frac{c \log\left(\frac{a \sqrt{\frac{c}{b x^{2} + a}} - \sqrt{a c}}{a \sqrt{\frac{c}{b x^{2} + a}} + \sqrt{a c}}\right)}{\sqrt{a c} a} + \frac{2 \, \sqrt{\frac{c}{b x^{2} + a}}}{a}\right)}"," ",0,"1/2*c*(c*log((a*sqrt(c/(b*x^2 + a)) - sqrt(a*c))/(a*sqrt(c/(b*x^2 + a)) + sqrt(a*c)))/(sqrt(a*c)*a) + 2*sqrt(c/(b*x^2 + a))/a)","A",0
247,1,46,0,0.964761," ","integrate((c/(b*x^2+a))^(3/2)/x^2,x, algorithm=""maxima"")","-\frac{2 \, b^{2} c^{\frac{3}{2}} x^{4} + 3 \, a b c^{\frac{3}{2}} x^{2} + a^{2} c^{\frac{3}{2}}}{{\left(b x^{2} + a\right)}^{\frac{3}{2}} a^{2} x}"," ",0,"-(2*b^2*c^(3/2)*x^4 + 3*a*b*c^(3/2)*x^2 + a^2*c^(3/2))/((b*x^2 + a)^(3/2)*a^2*x)","A",0
248,1,121,0,1.990260," ","integrate((c/(b*x^2+a))^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, b c {\left(\frac{2 \, c \sqrt{\frac{c}{b x^{2} + a}}}{a^{2} c - \frac{a^{3} c}{b x^{2} + a}} + \frac{3 \, c \log\left(\frac{a \sqrt{\frac{c}{b x^{2} + a}} - \sqrt{a c}}{a \sqrt{\frac{c}{b x^{2} + a}} + \sqrt{a c}}\right)}{\sqrt{a c} a^{2}} + \frac{4 \, \sqrt{\frac{c}{b x^{2} + a}}}{a^{2}}\right)}"," ",0,"-1/4*b*c*(2*c*sqrt(c/(b*x^2 + a))/(a^2*c - a^3*c/(b*x^2 + a)) + 3*c*log((a*sqrt(c/(b*x^2 + a)) - sqrt(a*c))/(a*sqrt(c/(b*x^2 + a)) + sqrt(a*c)))/(sqrt(a*c)*a^2) + 4*sqrt(c/(b*x^2 + a))/a^2)","A",0
249,1,85,0,0.983703," ","integrate(x^7*(c*(b*x^2+a)^(1/2))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(1045 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{7}{2}} a^{3} c^{6} - 1995 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{11}{2}} a^{2} c^{4} + 1463 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{15}{2}} a c^{2} - 385 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{19}{2}}\right)}}{7315 \, b^{4} c^{8}}"," ",0,"-2/7315*(1045*(sqrt(b*x^2 + a)*c)^(7/2)*a^3*c^6 - 1995*(sqrt(b*x^2 + a)*c)^(11/2)*a^2*c^4 + 1463*(sqrt(b*x^2 + a)*c)^(15/2)*a*c^2 - 385*(sqrt(b*x^2 + a)*c)^(19/2))/(b^4*c^8)","A",0
250,1,64,0,0.932469," ","integrate(x^5*(c*(b*x^2+a)^(1/2))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(165 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{7}{2}} a^{2} c^{4} - 210 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{11}{2}} a c^{2} + 77 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{15}{2}}\right)}}{1155 \, b^{3} c^{6}}"," ",0,"2/1155*(165*(sqrt(b*x^2 + a)*c)^(7/2)*a^2*c^4 - 210*(sqrt(b*x^2 + a)*c)^(11/2)*a*c^2 + 77*(sqrt(b*x^2 + a)*c)^(15/2))/(b^3*c^6)","A",0
251,1,43,0,0.932022," ","integrate(x^3*(c*(b*x^2+a)^(1/2))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(11 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{7}{2}} a c^{2} - 7 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{11}{2}}\right)}}{77 \, b^{2} c^{4}}"," ",0,"-2/77*(11*(sqrt(b*x^2 + a)*c)^(7/2)*a*c^2 - 7*(sqrt(b*x^2 + a)*c)^(11/2))/(b^2*c^4)","A",0
252,1,25,0,0.909013," ","integrate(x*(c*(b*x^2+a)^(1/2))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{2} + a\right)} \left(\sqrt{b x^{2} + a} c\right)^{\frac{3}{2}}}{7 \, b}"," ",0,"2/7*(b*x^2 + a)*(sqrt(b*x^2 + a)*c)^(3/2)/b","A",0
253,1,118,0,1.968121," ","integrate((c*(b*x^2+a)^(1/2))^(3/2)/x,x, algorithm=""maxima"")","\frac{3 \, a c^{4} {\left(\frac{2 \, \arctan\left(\frac{\sqrt{\sqrt{b x^{2} + a} c}}{\left(a c^{2}\right)^{\frac{1}{4}}}\right)}{\left(a c^{2}\right)^{\frac{1}{4}}} + \frac{\log\left(\frac{\sqrt{\sqrt{b x^{2} + a} c} - \left(a c^{2}\right)^{\frac{1}{4}}}{\sqrt{\sqrt{b x^{2} + a} c} + \left(a c^{2}\right)^{\frac{1}{4}}}\right)}{\left(a c^{2}\right)^{\frac{1}{4}}}\right)} + 4 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{3}{2}} c^{2}}{6 \, c^{2}}"," ",0,"1/6*(3*a*c^4*(2*arctan(sqrt(sqrt(b*x^2 + a)*c)/(a*c^2)^(1/4))/(a*c^2)^(1/4) + log((sqrt(sqrt(b*x^2 + a)*c) - (a*c^2)^(1/4))/(sqrt(sqrt(b*x^2 + a)*c) + (a*c^2)^(1/4)))/(a*c^2)^(1/4)) + 4*(sqrt(b*x^2 + a)*c)^(3/2)*c^2)/c^2","A",0
254,1,138,0,2.404309," ","integrate((c*(b*x^2+a)^(1/2))^(3/2)/x^3,x, algorithm=""maxima"")","\frac{{\left(3 \, c^{4} {\left(\frac{2 \, \arctan\left(\frac{\sqrt{\sqrt{b x^{2} + a} c}}{\left(a c^{2}\right)^{\frac{1}{4}}}\right)}{\left(a c^{2}\right)^{\frac{1}{4}}} + \frac{\log\left(\frac{\sqrt{\sqrt{b x^{2} + a} c} - \left(a c^{2}\right)^{\frac{1}{4}}}{\sqrt{\sqrt{b x^{2} + a} c} + \left(a c^{2}\right)^{\frac{1}{4}}}\right)}{\left(a c^{2}\right)^{\frac{1}{4}}}\right)} - \frac{4 \, \left(\sqrt{b x^{2} + a} c\right)^{\frac{3}{2}} c^{4}}{{\left(b x^{2} + a\right)} c^{2} - a c^{2}}\right)} b}{8 \, c^{2}}"," ",0,"1/8*(3*c^4*(2*arctan(sqrt(sqrt(b*x^2 + a)*c)/(a*c^2)^(1/4))/(a*c^2)^(1/4) + log((sqrt(sqrt(b*x^2 + a)*c) - (a*c^2)^(1/4))/(sqrt(sqrt(b*x^2 + a)*c) + (a*c^2)^(1/4)))/(a*c^2)^(1/4)) - 4*(sqrt(b*x^2 + a)*c)^(3/2)*c^4/((b*x^2 + a)*c^2 - a*c^2))*b/c^2","A",0
255,0,0,0,0.000000," ","integrate(x^2*(c*(b*x^2+a)^(1/2))^(3/2),x, algorithm=""maxima"")","\int \left(\sqrt{b x^{2} + a} c\right)^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((sqrt(b*x^2 + a)*c)^(3/2)*x^2, x)","F",0
256,0,0,0,0.000000," ","integrate((c*(b*x^2+a)^(1/2))^(3/2),x, algorithm=""maxima"")","\int \left(\sqrt{b x^{2} + a} c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((sqrt(b*x^2 + a)*c)^(3/2), x)","F",0
257,0,0,0,0.000000," ","integrate((c*(b*x^2+a)^(1/2))^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{\left(\sqrt{b x^{2} + a} c\right)^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((sqrt(b*x^2 + a)*c)^(3/2)/x^2, x)","F",0
258,0,0,0,0.000000," ","integrate((c*(b*x^2+a)^(1/2))^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{\left(\sqrt{b x^{2} + a} c\right)^{\frac{3}{2}}}{x^{4}}\,{d x}"," ",0,"integrate((sqrt(b*x^2 + a)*c)^(3/2)/x^4, x)","F",0
259,-2,0,0,0.000000," ","integrate(((b-x)*(-a+x))^(1/2),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(b-a>0)', see `assume?` for more details)Is b-a zero or nonzero?","F(-2)",0
260,0,0,0,0.000000," ","integrate(((-x^2+1)*(x^2+3))^(1/2),x, algorithm=""maxima"")","\int \sqrt{-{\left(x^{2} + 3\right)} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(-(x^2 + 3)*(x^2 - 1)), x)","F",0
261,-2,0,0,0.000000," ","integrate(1/((b-x)*(-a+x))^(1/2),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(b-a>0)', see `assume?` for more details)Is b-a zero or nonzero?","F(-2)",0
262,0,0,0,0.000000," ","integrate(1/((-x^2+1)*(x^2+3))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-{\left(x^{2} + 3\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate(1/sqrt(-(x^2 + 3)*(x^2 - 1)), x)","F",0
263,1,414,0,2.279101," ","integrate(x^5*(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{1}{96} \, e {\left(\frac{2 \, {\left(3 \, {\left(11 \, b^{3} c^{3} d^{2} - 13 \, a b^{2} c^{2} d^{3} + a^{2} b c d^{4} + a^{3} d^{5}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{5}{2}} - 8 \, {\left(5 \, b^{4} c^{3} d - 3 \, a b^{3} c^{2} d^{2} - 3 \, a^{2} b^{2} c d^{3} + a^{3} b d^{4}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e + 3 \, {\left(5 \, b^{5} c^{3} - 3 \, a b^{4} c^{2} d - a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{2}\right)}}{b^{5} d^{3} e^{3} - \frac{3 \, {\left(b x^{2} + a\right)} b^{4} d^{4} e^{3}}{d x^{2} + c} + \frac{3 \, {\left(b x^{2} + a\right)}^{2} b^{3} d^{5} e^{3}}{{\left(d x^{2} + c\right)}^{2}} - \frac{{\left(b x^{2} + a\right)}^{3} b^{2} d^{6} e^{3}}{{\left(d x^{2} + c\right)}^{3}}} + \frac{3 \, {\left(5 \, b^{3} c^{3} - 3 \, a b^{2} c^{2} d - a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b^{2} d^{3}}\right)}"," ",0,"1/96*e*(2*(3*(11*b^3*c^3*d^2 - 13*a*b^2*c^2*d^3 + a^2*b*c*d^4 + a^3*d^5)*((b*x^2 + a)*e/(d*x^2 + c))^(5/2) - 8*(5*b^4*c^3*d - 3*a*b^3*c^2*d^2 - 3*a^2*b^2*c*d^3 + a^3*b*d^4)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e + 3*(5*b^5*c^3 - 3*a*b^4*c^2*d - a^2*b^3*c*d^2 - a^3*b^2*d^3)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^2)/(b^5*d^3*e^3 - 3*(b*x^2 + a)*b^4*d^4*e^3/(d*x^2 + c) + 3*(b*x^2 + a)^2*b^3*d^5*e^3/(d*x^2 + c)^2 - (b*x^2 + a)^3*b^2*d^6*e^3/(d*x^2 + c)^3) + 3*(5*b^3*c^3 - 3*a*b^2*c^2*d - a^2*b*c*d^2 - a^3*d^3)*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b^2*d^3))","A",0
264,1,269,0,2.246330," ","integrate(x^3*(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, e {\left(\frac{2 \, {\left({\left(5 \, b^{2} c^{2} d - 6 \, a b c d^{2} + a^{2} d^{3}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} - {\left(3 \, b^{3} c^{2} - 2 \, a b^{2} c d - a^{2} b d^{2}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e\right)}}{b^{3} d^{2} e^{2} - \frac{2 \, {\left(b x^{2} + a\right)} b^{2} d^{3} e^{2}}{d x^{2} + c} + \frac{{\left(b x^{2} + a\right)}^{2} b d^{4} e^{2}}{{\left(d x^{2} + c\right)}^{2}}} - \frac{{\left(3 \, b^{2} c^{2} - 2 \, a b c d - a^{2} d^{2}\right)} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b d^{2}}\right)}"," ",0,"1/16*e*(2*((5*b^2*c^2*d - 6*a*b*c*d^2 + a^2*d^3)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2) - (3*b^3*c^2 - 2*a*b^2*c*d - a^2*b*d^2)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e)/(b^3*d^2*e^2 - 2*(b*x^2 + a)*b^2*d^3*e^2/(d*x^2 + c) + (b*x^2 + a)^2*b*d^4*e^2/(d*x^2 + c)^2) - (3*b^2*c^2 - 2*a*b*c*d - a^2*d^2)*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b*d^2))","A",0
265,1,145,0,2.254494," ","integrate(x*(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, e {\left(\frac{2 \, {\left(b c - a d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{b d e - \frac{{\left(b x^{2} + a\right)} d^{2} e}{d x^{2} + c}} + \frac{{\left(b c - a d\right)} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} d}\right)}"," ",0,"1/4*e*(2*(b*c - a*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/(b*d*e - (b*x^2 + a)*d^2*e/(d*x^2 + c)) + (b*c - a*d)*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*d))","A",0
266,1,149,0,2.242352," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{a \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e}} - \frac{b \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e}}\right)} e"," ",0,"1/2*(a*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/sqrt(a*c*e) - b*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/sqrt(b*d*e))*e","A",0
267,1,145,0,2.234205," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, e {\left(\frac{2 \, {\left(b c - a d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{a c e - \frac{{\left(b x^{2} + a\right)} c^{2} e}{d x^{2} + c}} + \frac{{\left(b c - a d\right)} \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} c}\right)}"," ",0,"1/4*e*(2*(b*c - a*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/(a*c*e - (b*x^2 + a)*c^2*e/(d*x^2 + c)) + (b*c - a*d)*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*c))","A",0
268,1,265,0,2.170680," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{1}{16} \, e {\left(\frac{2 \, {\left({\left(b^{2} c^{3} - 6 \, a b c^{2} d + 5 \, a^{2} c d^{2}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} + {\left(a b^{2} c^{2} + 2 \, a^{2} b c d - 3 \, a^{3} d^{2}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e\right)}}{a^{3} c^{2} e^{2} - \frac{2 \, {\left(b x^{2} + a\right)} a^{2} c^{3} e^{2}}{d x^{2} + c} + \frac{{\left(b x^{2} + a\right)}^{2} a c^{4} e^{2}}{{\left(d x^{2} + c\right)}^{2}}} + \frac{{\left(b^{2} c^{2} + 2 \, a b c d - 3 \, a^{2} d^{2}\right)} \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} a c^{2}}\right)}"," ",0,"-1/16*e*(2*((b^2*c^3 - 6*a*b*c^2*d + 5*a^2*c*d^2)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2) + (a*b^2*c^2 + 2*a^2*b*c*d - 3*a^3*d^2)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e)/(a^3*c^2*e^2 - 2*(b*x^2 + a)*a^2*c^3*e^2/(d*x^2 + c) + (b*x^2 + a)^2*a*c^4*e^2/(d*x^2 + c)^2) + (b^2*c^2 + 2*a*b*c*d - 3*a^2*d^2)*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*a*c^2))","A",0
269,1,410,0,2.291002," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{1}{96} \, e {\left(\frac{2 \, {\left(3 \, {\left(b^{3} c^{5} + a b^{2} c^{4} d - 13 \, a^{2} b c^{3} d^{2} + 11 \, a^{3} c^{2} d^{3}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{5}{2}} - 8 \, {\left(a b^{3} c^{4} - 3 \, a^{2} b^{2} c^{3} d - 3 \, a^{3} b c^{2} d^{2} + 5 \, a^{4} c d^{3}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e - 3 \, {\left(a^{2} b^{3} c^{3} + a^{3} b^{2} c^{2} d + 3 \, a^{4} b c d^{2} - 5 \, a^{5} d^{3}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{2}\right)}}{a^{5} c^{3} e^{3} - \frac{3 \, {\left(b x^{2} + a\right)} a^{4} c^{4} e^{3}}{d x^{2} + c} + \frac{3 \, {\left(b x^{2} + a\right)}^{2} a^{3} c^{5} e^{3}}{{\left(d x^{2} + c\right)}^{2}} - \frac{{\left(b x^{2} + a\right)}^{3} a^{2} c^{6} e^{3}}{{\left(d x^{2} + c\right)}^{3}}} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} a^{2} c^{3}}\right)}"," ",0,"-1/96*e*(2*(3*(b^3*c^5 + a*b^2*c^4*d - 13*a^2*b*c^3*d^2 + 11*a^3*c^2*d^3)*((b*x^2 + a)*e/(d*x^2 + c))^(5/2) - 8*(a*b^3*c^4 - 3*a^2*b^2*c^3*d - 3*a^3*b*c^2*d^2 + 5*a^4*c*d^3)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e - 3*(a^2*b^3*c^3 + a^3*b^2*c^2*d + 3*a^4*b*c*d^2 - 5*a^5*d^3)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^2)/(a^5*c^3*e^3 - 3*(b*x^2 + a)*a^4*c^4*e^3/(d*x^2 + c) + 3*(b*x^2 + a)^2*a^3*c^5*e^3/(d*x^2 + c)^2 - (b*x^2 + a)^3*a^2*c^6*e^3/(d*x^2 + c)^3) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*a^2*c^3))","A",0
270,0,0,0,0.000000," ","integrate(x^4*(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} x^{4}\,{d x}"," ",0,"integrate(sqrt((b*x^2 + a)*e/(d*x^2 + c))*x^4, x)","F",0
271,0,0,0,0.000000," ","integrate(x^2*(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} x^{2}\,{d x}"," ",0,"integrate(sqrt((b*x^2 + a)*e/(d*x^2 + c))*x^2, x)","F",0
272,0,0,0,0.000000," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}\,{d x}"," ",0,"integrate(sqrt((b*x^2 + a)*e/(d*x^2 + c)), x)","F",0
273,0,0,0,0.000000," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt((b*x^2 + a)*e/(d*x^2 + c))/x^2, x)","F",0
274,0,0,0,0.000000," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt((b*x^2 + a)*e/(d*x^2 + c))/x^4, x)","F",0
275,0,0,0,0.000000," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt((b*x^2 + a)*e/(d*x^2 + c))/x^6, x)","F",0
276,1,454,0,2.118408," ","integrate(x^5*(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{1}{96} \, e {\left(\frac{2 \, {\left(3 \, {\left(29 \, b^{3} c^{3} d^{2} - 51 \, a b^{2} c^{2} d^{3} + 23 \, a^{2} b c d^{4} - a^{3} d^{5}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{5}{2}} e - 8 \, {\left(17 \, b^{4} c^{3} d - 27 \, a b^{3} c^{2} d^{2} + 9 \, a^{2} b^{2} c d^{3} + a^{3} b d^{4}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e^{2} + 3 \, {\left(19 \, b^{5} c^{3} - 29 \, a b^{4} c^{2} d + 9 \, a^{2} b^{3} c d^{2} + a^{3} b^{2} d^{3}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{3}\right)}}{b^{4} d^{4} e^{3} - \frac{3 \, {\left(b x^{2} + a\right)} b^{3} d^{5} e^{3}}{d x^{2} + c} + \frac{3 \, {\left(b x^{2} + a\right)}^{2} b^{2} d^{6} e^{3}}{{\left(d x^{2} + c\right)}^{2}} - \frac{{\left(b x^{2} + a\right)}^{3} b d^{7} e^{3}}{{\left(d x^{2} + c\right)}^{3}}} + \frac{96 \, {\left(b c^{3} - a c^{2} d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{d^{4}} + \frac{3 \, {\left(35 \, b^{3} c^{3} - 45 \, a b^{2} c^{2} d + 9 \, a^{2} b c d^{2} + a^{3} d^{3}\right)} e \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b d^{4}}\right)}"," ",0,"1/96*e*(2*(3*(29*b^3*c^3*d^2 - 51*a*b^2*c^2*d^3 + 23*a^2*b*c*d^4 - a^3*d^5)*((b*x^2 + a)*e/(d*x^2 + c))^(5/2)*e - 8*(17*b^4*c^3*d - 27*a*b^3*c^2*d^2 + 9*a^2*b^2*c*d^3 + a^3*b*d^4)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e^2 + 3*(19*b^5*c^3 - 29*a*b^4*c^2*d + 9*a^2*b^3*c*d^2 + a^3*b^2*d^3)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^3)/(b^4*d^4*e^3 - 3*(b*x^2 + a)*b^3*d^5*e^3/(d*x^2 + c) + 3*(b*x^2 + a)^2*b^2*d^6*e^3/(d*x^2 + c)^2 - (b*x^2 + a)^3*b*d^7*e^3/(d*x^2 + c)^3) + 96*(b*c^3 - a*c^2*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/d^4 + 3*(35*b^3*c^3 - 45*a*b^2*c^2*d + 9*a^2*b*c*d^2 + a^3*d^3)*e*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b*d^4))","A",0
277,1,303,0,2.288933," ","integrate(x^3*(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{1}{16} \, e {\left(\frac{2 \, {\left({\left(9 \, b^{2} c^{2} d - 14 \, a b c d^{2} + 5 \, a^{2} d^{3}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e - {\left(7 \, b^{3} c^{2} - 10 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{2}\right)}}{b^{2} d^{3} e^{2} - \frac{2 \, {\left(b x^{2} + a\right)} b d^{4} e^{2}}{d x^{2} + c} + \frac{{\left(b x^{2} + a\right)}^{2} d^{5} e^{2}}{{\left(d x^{2} + c\right)}^{2}}} - \frac{3 \, {\left(5 \, b^{2} c^{2} - 6 \, a b c d + a^{2} d^{2}\right)} e \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} d^{3}} - \frac{16 \, {\left(b c^{2} - a c d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{d^{3}}\right)}"," ",0,"1/16*e*(2*((9*b^2*c^2*d - 14*a*b*c*d^2 + 5*a^2*d^3)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e - (7*b^3*c^2 - 10*a*b^2*c*d + 3*a^2*b*d^2)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^2)/(b^2*d^3*e^2 - 2*(b*x^2 + a)*b*d^4*e^2/(d*x^2 + c) + (b*x^2 + a)^2*d^5*e^2/(d*x^2 + c)^2) - 3*(5*b^2*c^2 - 6*a*b*c*d + a^2*d^2)*e*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*d^3) - 16*(b*c^2 - a*c*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/d^3)","A",0
278,1,189,0,2.209695," ","integrate(x*(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(b^{2} c - a b d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e}{b d^{2} e - \frac{{\left(b x^{2} + a\right)} d^{3} e}{d x^{2} + c}} + \frac{3 \, {\left(b^{2} c - a b d\right)} e \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} d^{2}} + \frac{4 \, {\left(b c - a d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{d^{2}}\right)} e"," ",0,"1/4*(2*(b^2*c - a*b*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e/(b*d^2*e - (b*x^2 + a)*d^3*e/(d*x^2 + c)) + 3*(b^2*c - a*b*d)*e*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*d^2) + 4*(b*c - a*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/d^2)*e","A",0
279,1,197,0,2.271458," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{a^{2} e \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} c} - \frac{b^{2} e \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} d} - \frac{2 \, {\left(b c - a d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{c d}\right)} e"," ",0,"1/2*(a^2*e*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*c) - b^2*e*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*d) - 2*(b*c - a*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/(c*d))*e","A",0
280,1,189,0,2.264955," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(a b c - a^{2} d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e}{a c^{2} e - \frac{{\left(b x^{2} + a\right)} c^{3} e}{d x^{2} + c}} + \frac{3 \, {\left(a b c - a^{2} d\right)} e \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} c^{2}} + \frac{4 \, {\left(b c - a d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{c^{2}}\right)} e"," ",0,"1/4*(2*(a*b*c - a^2*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e/(a*c^2*e - (b*x^2 + a)*c^3*e/(d*x^2 + c)) + 3*(a*b*c - a^2*d)*e*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*c^2) + 4*(b*c - a*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/c^2)*e","A",0
281,1,303,0,2.476737," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^5,x, algorithm=""maxima"")","-\frac{1}{16} \, e {\left(\frac{2 \, {\left({\left(5 \, b^{2} c^{3} - 14 \, a b c^{2} d + 9 \, a^{2} c d^{2}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e - {\left(3 \, a b^{2} c^{2} - 10 \, a^{2} b c d + 7 \, a^{3} d^{2}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{2}\right)}}{a^{2} c^{3} e^{2} - \frac{2 \, {\left(b x^{2} + a\right)} a c^{4} e^{2}}{d x^{2} + c} + \frac{{\left(b x^{2} + a\right)}^{2} c^{5} e^{2}}{{\left(d x^{2} + c\right)}^{2}}} - \frac{3 \, {\left(b^{2} c^{2} - 6 \, a b c d + 5 \, a^{2} d^{2}\right)} e \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} c^{3}} + \frac{16 \, {\left(b c d - a d^{2}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{c^{3}}\right)}"," ",0,"-1/16*e*(2*((5*b^2*c^3 - 14*a*b*c^2*d + 9*a^2*c*d^2)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e - (3*a*b^2*c^2 - 10*a^2*b*c*d + 7*a^3*d^2)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^2)/(a^2*c^3*e^2 - 2*(b*x^2 + a)*a*c^4*e^2/(d*x^2 + c) + (b*x^2 + a)^2*c^5*e^2/(d*x^2 + c)^2) - 3*(b^2*c^2 - 6*a*b*c*d + 5*a^2*d^2)*e*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*c^3) + 16*(b*c*d - a*d^2)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/c^3)","A",0
282,1,453,0,3.037886," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^7,x, algorithm=""maxima"")","\frac{1}{96} \, e {\left(\frac{2 \, {\left(3 \, {\left(b^{3} c^{5} - 23 \, a b^{2} c^{4} d + 51 \, a^{2} b c^{3} d^{2} - 29 \, a^{3} c^{2} d^{3}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{5}{2}} e + 8 \, {\left(a b^{3} c^{4} + 9 \, a^{2} b^{2} c^{3} d - 27 \, a^{3} b c^{2} d^{2} + 17 \, a^{4} c d^{3}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e^{2} - 3 \, {\left(a^{2} b^{3} c^{3} + 9 \, a^{3} b^{2} c^{2} d - 29 \, a^{4} b c d^{2} + 19 \, a^{5} d^{3}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{3}\right)}}{a^{4} c^{4} e^{3} - \frac{3 \, {\left(b x^{2} + a\right)} a^{3} c^{5} e^{3}}{d x^{2} + c} + \frac{3 \, {\left(b x^{2} + a\right)}^{2} a^{2} c^{6} e^{3}}{{\left(d x^{2} + c\right)}^{2}} - \frac{{\left(b x^{2} + a\right)}^{3} a c^{7} e^{3}}{{\left(d x^{2} + c\right)}^{3}}} + \frac{96 \, {\left(b c d^{2} - a d^{3}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{c^{4}} - \frac{3 \, {\left(b^{3} c^{3} + 9 \, a b^{2} c^{2} d - 45 \, a^{2} b c d^{2} + 35 \, a^{3} d^{3}\right)} e \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} a c^{4}}\right)}"," ",0,"1/96*e*(2*(3*(b^3*c^5 - 23*a*b^2*c^4*d + 51*a^2*b*c^3*d^2 - 29*a^3*c^2*d^3)*((b*x^2 + a)*e/(d*x^2 + c))^(5/2)*e + 8*(a*b^3*c^4 + 9*a^2*b^2*c^3*d - 27*a^3*b*c^2*d^2 + 17*a^4*c*d^3)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e^2 - 3*(a^2*b^3*c^3 + 9*a^3*b^2*c^2*d - 29*a^4*b*c*d^2 + 19*a^5*d^3)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^3)/(a^4*c^4*e^3 - 3*(b*x^2 + a)*a^3*c^5*e^3/(d*x^2 + c) + 3*(b*x^2 + a)^2*a^2*c^6*e^3/(d*x^2 + c)^2 - (b*x^2 + a)^3*a*c^7*e^3/(d*x^2 + c)^3) + 96*(b*c*d^2 - a*d^3)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/c^4 - 3*(b^3*c^3 + 9*a*b^2*c^2*d - 45*a^2*b*c*d^2 + 35*a^3*d^3)*e*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*a*c^4))","A",0
283,0,0,0,0.000000," ","integrate(x^4*(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} x^{4}\,{d x}"," ",0,"integrate(((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*x^4, x)","F",0
284,0,0,0,0.000000," ","integrate(x^2*(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate(((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*x^2, x)","F",0
285,0,0,0,0.000000," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(((b*x^2 + a)*e/(d*x^2 + c))^(3/2), x)","F",0
286,0,0,0,0.000000," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{\left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate(((b*x^2 + a)*e/(d*x^2 + c))^(3/2)/x^2, x)","F",0
287,0,0,0,0.000000," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{\left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}}}{x^{4}}\,{d x}"," ",0,"integrate(((b*x^2 + a)*e/(d*x^2 + c))^(3/2)/x^4, x)","F",0
288,0,0,0,0.000000," ","integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^6,x, algorithm=""maxima"")","\int \frac{\left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}}}{x^{6}}\,{d x}"," ",0,"integrate(((b*x^2 + a)*e/(d*x^2 + c))^(3/2)/x^6, x)","F",0
289,0,0,0,0.000000," ","integrate(x*((-x^2+1)/(x^2+1))^(1/2),x, algorithm=""maxima"")","\int x \sqrt{-\frac{x^{2} - 1}{x^{2} + 1}}\,{d x}"," ",0,"integrate(x*sqrt(-(x^2 - 1)/(x^2 + 1)), x)","F",0
290,1,76,0,2.054959," ","integrate(x*((-7*x^2+5)/(5*x^2+7))^(1/2),x, algorithm=""maxima"")","-\frac{37}{175} \, \sqrt{35} \arctan\left(\frac{1}{7} \, \sqrt{35} \sqrt{-\frac{7 \, x^{2} - 5}{5 \, x^{2} + 7}}\right) - \frac{37 \, \sqrt{-\frac{7 \, x^{2} - 5}{5 \, x^{2} + 7}}}{5 \, {\left(\frac{5 \, {\left(7 \, x^{2} - 5\right)}}{5 \, x^{2} + 7} - 7\right)}}"," ",0,"-37/175*sqrt(35)*arctan(1/7*sqrt(35)*sqrt(-(7*x^2 - 5)/(5*x^2 + 7))) - 37/5*sqrt(-(7*x^2 - 5)/(5*x^2 + 7))/(5*(7*x^2 - 5)/(5*x^2 + 7) - 7)","A",0
291,0,0,0,0.000000," ","integrate(x^2*((-x^3+1)/(x^3+1))^(1/2),x, algorithm=""maxima"")","\int x^{2} \sqrt{-\frac{x^{3} - 1}{x^{3} + 1}}\,{d x}"," ",0,"integrate(x^2*sqrt(-(x^3 - 1)/(x^3 + 1)), x)","F",0
292,0,0,0,0.000000," ","integrate(x^8*((-x^3+1)/(x^3+1))^(1/2),x, algorithm=""maxima"")","\int x^{8} \sqrt{-\frac{x^{3} - 1}{x^{3} + 1}}\,{d x}"," ",0,"integrate(x^8*sqrt(-(x^3 - 1)/(x^3 + 1)), x)","F",0
293,1,121,0,1.992943," ","integrate(x^9*((-7*x^5+5)/(5*x^5+7))^(1/2),x, algorithm=""maxima"")","\frac{2257}{30625} \, \sqrt{35} \arctan\left(\frac{1}{7} \, \sqrt{35} \sqrt{-\frac{7 \, x^{5} - 5}{5 \, x^{5} + 7}}\right) - \frac{37 \, {\left(675 \, \left(-\frac{7 \, x^{5} - 5}{5 \, x^{5} + 7}\right)^{\frac{3}{2}} + 427 \, \sqrt{-\frac{7 \, x^{5} - 5}{5 \, x^{5} + 7}}\right)}}{875 \, {\left(\frac{25 \, {\left(7 \, x^{5} - 5\right)}^{2}}{{\left(5 \, x^{5} + 7\right)}^{2}} - \frac{70 \, {\left(7 \, x^{5} - 5\right)}}{5 \, x^{5} + 7} + 49\right)}}"," ",0,"2257/30625*sqrt(35)*arctan(1/7*sqrt(35)*sqrt(-(7*x^5 - 5)/(5*x^5 + 7))) - 37/875*(675*(-(7*x^5 - 5)/(5*x^5 + 7))^(3/2) + 427*sqrt(-(7*x^5 - 5)/(5*x^5 + 7)))/(25*(7*x^5 - 5)^2/(5*x^5 + 7)^2 - 70*(7*x^5 - 5)/(5*x^5 + 7) + 49)","A",0
294,0,0,0,0.000000," ","integrate((x^2/(x^2-1))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{x^{2}}{x^{2} - 1}}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^2/(x^2 - 1))/(x^2 + 1), x)","F",0
295,0,0,0,0.000000," ","integrate((x^2/(-1+a+(1+a)*x^2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{x^{2}}{{\left(a + 1\right)} x^{2} + a - 1}}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^2/((a + 1)*x^2 + a - 1))/(x^2 + 1), x)","F",0
296,1,413,0,2.269127," ","integrate(x^5/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{1}{96} \, e {\left(\frac{2 \, {\left(3 \, {\left(b^{3} c^{3} d^{2} + a b^{2} c^{2} d^{3} + 3 \, a^{2} b c d^{4} - 5 \, a^{3} d^{5}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{5}{2}} + 8 \, {\left(b^{4} c^{3} d - 3 \, a b^{3} c^{2} d^{2} - 3 \, a^{2} b^{2} c d^{3} + 5 \, a^{3} b d^{4}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e - 3 \, {\left(b^{5} c^{3} + a b^{4} c^{2} d - 13 \, a^{2} b^{3} c d^{2} + 11 \, a^{3} b^{2} d^{3}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{2}\right)}}{b^{6} d^{2} e^{4} - \frac{3 \, {\left(b x^{2} + a\right)} b^{5} d^{3} e^{4}}{d x^{2} + c} + \frac{3 \, {\left(b x^{2} + a\right)}^{2} b^{4} d^{4} e^{4}}{{\left(d x^{2} + c\right)}^{2}} - \frac{{\left(b x^{2} + a\right)}^{3} b^{3} d^{5} e^{4}}{{\left(d x^{2} + c\right)}^{3}}} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b^{3} d^{2} e}\right)}"," ",0,"1/96*e*(2*(3*(b^3*c^3*d^2 + a*b^2*c^2*d^3 + 3*a^2*b*c*d^4 - 5*a^3*d^5)*((b*x^2 + a)*e/(d*x^2 + c))^(5/2) + 8*(b^4*c^3*d - 3*a*b^3*c^2*d^2 - 3*a^2*b^2*c*d^3 + 5*a^3*b*d^4)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e - 3*(b^5*c^3 + a*b^4*c^2*d - 13*a^2*b^3*c*d^2 + 11*a^3*b^2*d^3)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^2)/(b^6*d^2*e^4 - 3*(b*x^2 + a)*b^5*d^3*e^4/(d*x^2 + c) + 3*(b*x^2 + a)^2*b^4*d^4*e^4/(d*x^2 + c)^2 - (b*x^2 + a)^3*b^3*d^5*e^4/(d*x^2 + c)^3) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b^3*d^2*e))","A",0
297,1,268,0,2.231029," ","integrate(x^3/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, e {\left(\frac{2 \, {\left({\left(b^{2} c^{2} d + 2 \, a b c d^{2} - 3 \, a^{2} d^{3}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} + {\left(b^{3} c^{2} - 6 \, a b^{2} c d + 5 \, a^{2} b d^{2}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e\right)}}{b^{4} d e^{3} - \frac{2 \, {\left(b x^{2} + a\right)} b^{3} d^{2} e^{3}}{d x^{2} + c} + \frac{{\left(b x^{2} + a\right)}^{2} b^{2} d^{3} e^{3}}{{\left(d x^{2} + c\right)}^{2}}} + \frac{{\left(b^{2} c^{2} + 2 \, a b c d - 3 \, a^{2} d^{2}\right)} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b^{2} d e}\right)}"," ",0,"1/16*e*(2*((b^2*c^2*d + 2*a*b*c*d^2 - 3*a^2*d^3)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2) + (b^3*c^2 - 6*a*b^2*c*d + 5*a^2*b*d^2)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e)/(b^4*d*e^3 - 2*(b*x^2 + a)*b^3*d^2*e^3/(d*x^2 + c) + (b*x^2 + a)^2*b^2*d^3*e^3/(d*x^2 + c)^2) + (b^2*c^2 + 2*a*b*c*d - 3*a^2*d^2)*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b^2*d*e))","A",0
298,1,153,0,2.179734," ","integrate(x/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, e {\left(\frac{2 \, {\left(b c - a d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{b^{2} e^{2} - \frac{{\left(b x^{2} + a\right)} b d e^{2}}{d x^{2} + c}} - \frac{{\left(b c - a d\right)} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b e}\right)}"," ",0,"1/4*e*(2*(b*c - a*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/(b^2*e^2 - (b*x^2 + a)*b*d*e^2/(d*x^2 + c)) - (b*c - a*d)*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b*e))","A",0
299,1,155,0,1.959607," ","integrate(1/x/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, e {\left(\frac{c \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} e} - \frac{d \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} e}\right)}"," ",0,"1/2*e*(c*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*e) - d*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*e))","A",0
300,1,153,0,1.520313," ","integrate(1/x^3/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, e {\left(\frac{2 \, {\left(b c - a d\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}{a^{2} e^{2} - \frac{{\left(b x^{2} + a\right)} a c e^{2}}{d x^{2} + c}} - \frac{{\left(b c - a d\right)} \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} a e}\right)}"," ",0,"1/4*e*(2*(b*c - a*d)*sqrt((b*x^2 + a)*e/(d*x^2 + c))/(a^2*e^2 - (b*x^2 + a)*a*c*e^2/(d*x^2 + c)) - (b*c - a*d)*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*a*e))","A",0
301,1,271,0,1.755024," ","integrate(1/x^5/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, e {\left(\frac{2 \, {\left({\left(3 \, b^{2} c^{3} - 2 \, a b c^{2} d - a^{2} c d^{2}\right)} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} - {\left(5 \, a b^{2} c^{2} - 6 \, a^{2} b c d + a^{3} d^{2}\right)} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e\right)}}{a^{4} c e^{3} - \frac{2 \, {\left(b x^{2} + a\right)} a^{3} c^{2} e^{3}}{d x^{2} + c} + \frac{{\left(b x^{2} + a\right)}^{2} a^{2} c^{3} e^{3}}{{\left(d x^{2} + c\right)}^{2}}} + \frac{{\left(3 \, b^{2} c^{2} - 2 \, a b c d - a^{2} d^{2}\right)} \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} a^{2} c e}\right)}"," ",0,"1/16*e*(2*((3*b^2*c^3 - 2*a*b*c^2*d - a^2*c*d^2)*((b*x^2 + a)*e/(d*x^2 + c))^(3/2) - (5*a*b^2*c^2 - 6*a^2*b*c*d + a^3*d^2)*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e)/(a^4*c*e^3 - 2*(b*x^2 + a)*a^3*c^2*e^3/(d*x^2 + c) + (b*x^2 + a)^2*a^2*c^3*e^3/(d*x^2 + c)^2) + (3*b^2*c^2 - 2*a*b*c*d - a^2*d^2)*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*a^2*c*e))","A",0
302,0,0,0,0.000000," ","integrate(x^4/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}\,{d x}"," ",0,"integrate(x^4/sqrt((b*x^2 + a)*e/(d*x^2 + c)), x)","F",0
303,0,0,0,0.000000," ","integrate(x^2/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}\,{d x}"," ",0,"integrate(x^2/sqrt((b*x^2 + a)*e/(d*x^2 + c)), x)","F",0
304,0,0,0,0.000000," ","integrate(1/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}}}\,{d x}"," ",0,"integrate(1/sqrt((b*x^2 + a)*e/(d*x^2 + c)), x)","F",0
305,0,0,0,0.000000," ","integrate(1/x^2/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt((b*x^2 + a)*e/(d*x^2 + c))*x^2), x)","F",0
306,0,0,0,0.000000," ","integrate(1/x^4/(e*(b*x^2+a)/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt((b*x^2 + a)*e/(d*x^2 + c))*x^4), x)","F",0
307,1,465,0,1.830634," ","integrate(x^5/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{1}{96} \, e {\left(\frac{2 \, {\left(48 \, {\left(a^{2} b^{4} c d - a^{3} b^{3} d^{2}\right)} e^{3} + \frac{3 \, {\left(b^{3} c^{3} d^{2} + 9 \, a b^{2} c^{2} d^{3} - 45 \, a^{2} b c d^{4} + 35 \, a^{3} d^{5}\right)} {\left(b x^{2} + a\right)}^{3} e^{3}}{{\left(d x^{2} + c\right)}^{3}} - \frac{8 \, {\left(b^{4} c^{3} d + 9 \, a b^{3} c^{2} d^{2} - 45 \, a^{2} b^{2} c d^{3} + 35 \, a^{3} b d^{4}\right)} {\left(b x^{2} + a\right)}^{2} e^{3}}{{\left(d x^{2} + c\right)}^{2}} - \frac{3 \, {\left(b^{5} c^{3} - 23 \, a b^{4} c^{2} d + 99 \, a^{2} b^{3} c d^{2} - 77 \, a^{3} b^{2} d^{3}\right)} {\left(b x^{2} + a\right)} e^{3}}{d x^{2} + c}\right)}}{b^{4} d^{4} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{7}{2}} e^{2} - 3 \, b^{5} d^{3} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{5}{2}} e^{3} + 3 \, b^{6} d^{2} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e^{4} - b^{7} d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{5}} + \frac{3 \, {\left(b^{3} c^{3} + 9 \, a b^{2} c^{2} d - 45 \, a^{2} b c d^{2} + 35 \, a^{3} d^{3}\right)} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b^{4} d e^{2}}\right)}"," ",0,"1/96*e*(2*(48*(a^2*b^4*c*d - a^3*b^3*d^2)*e^3 + 3*(b^3*c^3*d^2 + 9*a*b^2*c^2*d^3 - 45*a^2*b*c*d^4 + 35*a^3*d^5)*(b*x^2 + a)^3*e^3/(d*x^2 + c)^3 - 8*(b^4*c^3*d + 9*a*b^3*c^2*d^2 - 45*a^2*b^2*c*d^3 + 35*a^3*b*d^4)*(b*x^2 + a)^2*e^3/(d*x^2 + c)^2 - 3*(b^5*c^3 - 23*a*b^4*c^2*d + 99*a^2*b^3*c*d^2 - 77*a^3*b^2*d^3)*(b*x^2 + a)*e^3/(d*x^2 + c))/(b^4*d^4*((b*x^2 + a)*e/(d*x^2 + c))^(7/2)*e^2 - 3*b^5*d^3*((b*x^2 + a)*e/(d*x^2 + c))^(5/2)*e^3 + 3*b^6*d^2*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e^4 - b^7*d*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^5) + 3*(b^3*c^3 + 9*a*b^2*c^2*d - 45*a^2*b*c*d^2 + 35*a^3*d^3)*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b^4*d*e^2))","A",0
308,1,311,0,1.813417," ","integrate(x^3/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{1}{16} \, e {\left(\frac{2 \, {\left(8 \, {\left(a b^{3} c - a^{2} b^{2} d\right)} e^{2} - \frac{3 \, {\left(b^{2} c^{2} d - 6 \, a b c d^{2} + 5 \, a^{2} d^{3}\right)} {\left(b x^{2} + a\right)}^{2} e^{2}}{{\left(d x^{2} + c\right)}^{2}} + \frac{5 \, {\left(b^{3} c^{2} - 6 \, a b^{2} c d + 5 \, a^{2} b d^{2}\right)} {\left(b x^{2} + a\right)} e^{2}}{d x^{2} + c}\right)}}{b^{3} d^{2} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{5}{2}} e^{2} - 2 \, b^{4} d \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e^{3} + b^{5} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{4}} - \frac{3 \, {\left(b^{2} c^{2} - 6 \, a b c d + 5 \, a^{2} d^{2}\right)} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b^{3} e^{2}}\right)}"," ",0,"1/16*e*(2*(8*(a*b^3*c - a^2*b^2*d)*e^2 - 3*(b^2*c^2*d - 6*a*b*c*d^2 + 5*a^2*d^3)*(b*x^2 + a)^2*e^2/(d*x^2 + c)^2 + 5*(b^3*c^2 - 6*a*b^2*c*d + 5*a^2*b*d^2)*(b*x^2 + a)*e^2/(d*x^2 + c))/(b^3*d^2*((b*x^2 + a)*e/(d*x^2 + c))^(5/2)*e^2 - 2*b^4*d*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e^3 + b^5*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^4) - 3*(b^2*c^2 - 6*a*b*c*d + 5*a^2*d^2)*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b^3*e^2))","A",0
309,1,199,0,1.739377," ","integrate(x/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, e {\left(\frac{2 \, {\left(2 \, {\left(b^{2} c - a b d\right)} e - \frac{3 \, {\left(b c d - a d^{2}\right)} {\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)}}{b^{2} d \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e^{2} - b^{3} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{3}} - \frac{3 \, {\left(b c d - a d^{2}\right)} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b^{2} e^{2}}\right)}"," ",0,"1/4*e*(2*(2*(b^2*c - a*b*d)*e - 3*(b*c*d - a*d^2)*(b*x^2 + a)*e/(d*x^2 + c))/(b^2*d*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e^2 - b^3*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^3) - 3*(b*c*d - a*d^2)*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b^2*e^2))","A",0
310,1,204,0,1.915183," ","integrate(1/x/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{1}{2} \, e {\left(\frac{c^{2} \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} a e^{2}} - \frac{d^{2} \log\left(\frac{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{b d e}}{d \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{b d e}}\right)}{\sqrt{b d e} b e^{2}} + \frac{2 \, {\left(b c - a d\right)}}{a b \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{2}}\right)}"," ",0,"1/2*e*(c^2*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*a*e^2) - d^2*log((d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(b*d*e))/(d*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(b*d*e)))/(sqrt(b*d*e)*b*e^2) + 2*(b*c - a*d)/(a*b*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^2))","A",0
311,1,197,0,1.971689," ","integrate(1/x^3/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, e {\left(\frac{2 \, {\left(2 \, {\left(a b c - a^{2} d\right)} e - \frac{3 \, {\left(b c^{2} - a c d\right)} {\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)}}{a^{2} c \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e^{2} - a^{3} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{3}} - \frac{3 \, {\left(b c - a d\right)} c \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} a^{2} e^{2}}\right)}"," ",0,"1/4*e*(2*(2*(a*b*c - a^2*d)*e - 3*(b*c^2 - a*c*d)*(b*x^2 + a)*e/(d*x^2 + c))/(a^2*c*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e^2 - a^3*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^3) - 3*(b*c - a*d)*c*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*a^2*e^2))","A",0
312,1,311,0,1.956455," ","integrate(1/x^5/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{1}{16} \, e {\left(\frac{2 \, {\left(8 \, {\left(a^{2} b^{2} c - a^{3} b d\right)} e^{2} + \frac{3 \, {\left(5 \, b^{2} c^{3} - 6 \, a b c^{2} d + a^{2} c d^{2}\right)} {\left(b x^{2} + a\right)}^{2} e^{2}}{{\left(d x^{2} + c\right)}^{2}} - \frac{5 \, {\left(5 \, a b^{2} c^{2} - 6 \, a^{2} b c d + a^{3} d^{2}\right)} {\left(b x^{2} + a\right)} e^{2}}{d x^{2} + c}\right)}}{a^{3} c^{2} \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{5}{2}} e^{2} - 2 \, a^{4} c \left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} e^{3} + a^{5} \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} e^{4}} + \frac{3 \, {\left(5 \, b^{2} c^{2} - 6 \, a b c d + a^{2} d^{2}\right)} \log\left(\frac{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} - \sqrt{a c e}}{c \sqrt{\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}} + \sqrt{a c e}}\right)}{\sqrt{a c e} a^{3} e^{2}}\right)}"," ",0,"1/16*e*(2*(8*(a^2*b^2*c - a^3*b*d)*e^2 + 3*(5*b^2*c^3 - 6*a*b*c^2*d + a^2*c*d^2)*(b*x^2 + a)^2*e^2/(d*x^2 + c)^2 - 5*(5*a*b^2*c^2 - 6*a^2*b*c*d + a^3*d^2)*(b*x^2 + a)*e^2/(d*x^2 + c))/(a^3*c^2*((b*x^2 + a)*e/(d*x^2 + c))^(5/2)*e^2 - 2*a^4*c*((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*e^3 + a^5*sqrt((b*x^2 + a)*e/(d*x^2 + c))*e^4) + 3*(5*b^2*c^2 - 6*a*b*c*d + a^2*d^2)*log((c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) - sqrt(a*c*e))/(c*sqrt((b*x^2 + a)*e/(d*x^2 + c)) + sqrt(a*c*e)))/(sqrt(a*c*e)*a^3*e^2))","A",0
313,0,0,0,0.000000," ","integrate(x^4/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/((b*x^2 + a)*e/(d*x^2 + c))^(3/2), x)","F",0
314,0,0,0,0.000000," ","integrate(x^2/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/((b*x^2 + a)*e/(d*x^2 + c))^(3/2), x)","F",0
315,0,0,0,0.000000," ","integrate(1/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(((b*x^2 + a)*e/(d*x^2 + c))^(-3/2), x)","F",0
316,0,0,0,0.000000," ","integrate(1/x^2/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/(((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*x^2), x)","F",0
317,0,0,0,0.000000," ","integrate(1/x^4/(e*(b*x^2+a)/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(\frac{{\left(b x^{2} + a\right)} e}{d x^{2} + c}\right)^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/(((b*x^2 + a)*e/(d*x^2 + c))^(3/2)*x^4), x)","F",0
318,1,328,0,1.724076," ","integrate(x^5*(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(8 \, a^{2} b c^{2} - 4 \, a b^{2} c - b^{3}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{5}{2}} - 8 \, {\left(6 \, a^{3} b c^{2} - a b^{3}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} + 3 \, {\left(8 \, a^{4} b c^{2} + 4 \, a^{3} b^{2} c + a^{2} b^{3}\right)} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{48 \, {\left(a^{5} d^{3} - \frac{3 \, {\left(a d x^{2} + a c + b\right)} a^{4} d^{3}}{d x^{2} + c} + \frac{3 \, {\left(a d x^{2} + a c + b\right)}^{2} a^{3} d^{3}}{{\left(d x^{2} + c\right)}^{2}} - \frac{{\left(a d x^{2} + a c + b\right)}^{3} a^{2} d^{3}}{{\left(d x^{2} + c\right)}^{3}}\right)}} - \frac{{\left(8 \, a^{2} c^{2} + 4 \, a b c + b^{2}\right)} b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{32 \, a^{\frac{5}{2}} d^{3}}"," ",0,"-1/48*(3*(8*a^2*b*c^2 - 4*a*b^2*c - b^3)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(5/2) - 8*(6*a^3*b*c^2 - a*b^3)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) + 3*(8*a^4*b*c^2 + 4*a^3*b^2*c + a^2*b^3)*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^5*d^3 - 3*(a*d*x^2 + a*c + b)*a^4*d^3/(d*x^2 + c) + 3*(a*d*x^2 + a*c + b)^2*a^3*d^3/(d*x^2 + c)^2 - (a*d*x^2 + a*c + b)^3*a^2*d^3/(d*x^2 + c)^3) - 1/32*(8*a^2*c^2 + 4*a*b*c + b^2)*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(a^(5/2)*d^3)","A",0
319,1,218,0,1.752001," ","integrate(x^3*(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","-\frac{{\left(4 \, a b c - b^{2}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} - {\left(4 \, a^{2} b c + a b^{2}\right)} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{8 \, {\left(a^{3} d^{2} - \frac{2 \, {\left(a d x^{2} + a c + b\right)} a^{2} d^{2}}{d x^{2} + c} + \frac{{\left(a d x^{2} + a c + b\right)}^{2} a d^{2}}{{\left(d x^{2} + c\right)}^{2}}\right)}} + \frac{{\left(4 \, a c + b\right)} b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{16 \, a^{\frac{3}{2}} d^{2}}"," ",0,"-1/8*((4*a*b*c - b^2)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) - (4*a^2*b*c + a*b^2)*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^3*d^2 - 2*(a*d*x^2 + a*c + b)*a^2*d^2/(d*x^2 + c) + (a*d*x^2 + a*c + b)^2*a*d^2/(d*x^2 + c)^2) + 1/16*(4*a*c + b)*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(a^(3/2)*d^2)","A",0
320,1,126,0,1.643923," ","integrate(x*(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","-\frac{b \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{2 \, {\left(a d - \frac{{\left(a d x^{2} + a c + b\right)} d}{d x^{2} + c}\right)}} - \frac{b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{4 \, \sqrt{a} d}"," ",0,"-1/2*b*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/(a*d - (a*d*x^2 + a*c + b)*d/(d*x^2 + c)) - 1/4*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(sqrt(a)*d)","B",0
321,1,159,0,1.459038," ","integrate((a+b/(d*x^2+c))^(1/2)/x,x, algorithm=""maxima"")","\frac{{\left(a c + b\right)} \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{2 \, \sqrt{{\left(a c + b\right)} c}} - \frac{1}{2} \, \sqrt{a} \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)"," ",0,"1/2*(a*c + b)*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/sqrt((a*c + b)*c) - 1/2*sqrt(a)*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))","A",0
322,1,156,0,1.483866," ","integrate((a+b/(d*x^2+c))^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{b d \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{2 \, {\left(a c^{2} + b c - \frac{{\left(a d x^{2} + a c + b\right)} c^{2}}{d x^{2} + c}\right)}} - \frac{b d \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{4 \, \sqrt{{\left(a c + b\right)} c} c}"," ",0,"-1/2*b*d*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/(a*c^2 + b*c - (a*d*x^2 + a*c + b)*c^2/(d*x^2 + c)) - 1/4*b*d*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/(sqrt((a*c + b)*c)*c)","A",0
323,1,322,0,1.532271," ","integrate((a+b/(d*x^2+c))^(1/2)/x^5,x, algorithm=""maxima"")","\frac{{\left(4 \, a b c + 3 \, b^{2}\right)} d^{2} \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{16 \, {\left(a c^{3} + b c^{2}\right)} \sqrt{{\left(a c + b\right)} c}} - \frac{{\left(4 \, a b c^{2} + 5 \, b^{2} c\right)} d^{2} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} - {\left(4 \, a^{2} b c^{2} + 7 \, a b^{2} c + 3 \, b^{3}\right)} d^{2} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{8 \, {\left(a^{3} c^{5} + 3 \, a^{2} b c^{4} + 3 \, a b^{2} c^{3} + b^{3} c^{2} + \frac{{\left(a c^{5} + b c^{4}\right)} {\left(a d x^{2} + a c + b\right)}^{2}}{{\left(d x^{2} + c\right)}^{2}} - \frac{2 \, {\left(a^{2} c^{5} + 2 \, a b c^{4} + b^{2} c^{3}\right)} {\left(a d x^{2} + a c + b\right)}}{d x^{2} + c}\right)}}"," ",0,"1/16*(4*a*b*c + 3*b^2)*d^2*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/((a*c^3 + b*c^2)*sqrt((a*c + b)*c)) - 1/8*((4*a*b*c^2 + 5*b^2*c)*d^2*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) - (4*a^2*b*c^2 + 7*a*b^2*c + 3*b^3)*d^2*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^3*c^5 + 3*a^2*b*c^4 + 3*a*b^2*c^3 + b^3*c^2 + (a*c^5 + b*c^4)*(a*d*x^2 + a*c + b)^2/(d*x^2 + c)^2 - 2*(a^2*c^5 + 2*a*b*c^4 + b^2*c^3)*(a*d*x^2 + a*c + b)/(d*x^2 + c))","B",0
324,1,557,0,1.910118," ","integrate((a+b/(d*x^2+c))^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{{\left(8 \, a^{2} b c^{2} + 12 \, a b^{2} c + 5 \, b^{3}\right)} d^{3} \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{32 \, {\left(a^{2} c^{5} + 2 \, a b c^{4} + b^{2} c^{3}\right)} \sqrt{{\left(a c + b\right)} c}} - \frac{3 \, {\left(8 \, a^{2} b c^{4} + 20 \, a b^{2} c^{3} + 11 \, b^{3} c^{2}\right)} d^{3} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{5}{2}} - 8 \, {\left(6 \, a^{3} b c^{4} + 18 \, a^{2} b^{2} c^{3} + 17 \, a b^{3} c^{2} + 5 \, b^{4} c\right)} d^{3} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} + 3 \, {\left(8 \, a^{4} b c^{4} + 28 \, a^{3} b^{2} c^{3} + 37 \, a^{2} b^{3} c^{2} + 22 \, a b^{4} c + 5 \, b^{5}\right)} d^{3} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{48 \, {\left(a^{5} c^{8} + 5 \, a^{4} b c^{7} + 10 \, a^{3} b^{2} c^{6} + 10 \, a^{2} b^{3} c^{5} + 5 \, a b^{4} c^{4} + b^{5} c^{3} - \frac{{\left(a^{2} c^{8} + 2 \, a b c^{7} + b^{2} c^{6}\right)} {\left(a d x^{2} + a c + b\right)}^{3}}{{\left(d x^{2} + c\right)}^{3}} + \frac{3 \, {\left(a^{3} c^{8} + 3 \, a^{2} b c^{7} + 3 \, a b^{2} c^{6} + b^{3} c^{5}\right)} {\left(a d x^{2} + a c + b\right)}^{2}}{{\left(d x^{2} + c\right)}^{2}} - \frac{3 \, {\left(a^{4} c^{8} + 4 \, a^{3} b c^{7} + 6 \, a^{2} b^{2} c^{6} + 4 \, a b^{3} c^{5} + b^{4} c^{4}\right)} {\left(a d x^{2} + a c + b\right)}}{d x^{2} + c}\right)}}"," ",0,"-1/32*(8*a^2*b*c^2 + 12*a*b^2*c + 5*b^3)*d^3*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/((a^2*c^5 + 2*a*b*c^4 + b^2*c^3)*sqrt((a*c + b)*c)) - 1/48*(3*(8*a^2*b*c^4 + 20*a*b^2*c^3 + 11*b^3*c^2)*d^3*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(5/2) - 8*(6*a^3*b*c^4 + 18*a^2*b^2*c^3 + 17*a*b^3*c^2 + 5*b^4*c)*d^3*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) + 3*(8*a^4*b*c^4 + 28*a^3*b^2*c^3 + 37*a^2*b^3*c^2 + 22*a*b^4*c + 5*b^5)*d^3*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^5*c^8 + 5*a^4*b*c^7 + 10*a^3*b^2*c^6 + 10*a^2*b^3*c^5 + 5*a*b^4*c^4 + b^5*c^3 - (a^2*c^8 + 2*a*b*c^7 + b^2*c^6)*(a*d*x^2 + a*c + b)^3/(d*x^2 + c)^3 + 3*(a^3*c^8 + 3*a^2*b*c^7 + 3*a*b^2*c^6 + b^3*c^5)*(a*d*x^2 + a*c + b)^2/(d*x^2 + c)^2 - 3*(a^4*c^8 + 4*a^3*b*c^7 + 6*a^2*b^2*c^6 + 4*a*b^3*c^5 + b^4*c^4)*(a*d*x^2 + a*c + b)/(d*x^2 + c))","B",0
325,0,0,0,0.000000," ","integrate(x^4*(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{d x^{2} + c}} x^{4}\,{d x}"," ",0,"integrate(sqrt(a + b/(d*x^2 + c))*x^4, x)","F",0
326,0,0,0,0.000000," ","integrate(x^2*(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{d x^{2} + c}} x^{2}\,{d x}"," ",0,"integrate(sqrt(a + b/(d*x^2 + c))*x^2, x)","F",0
327,0,0,0,0.000000," ","integrate((a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{d x^{2} + c}}\,{d x}"," ",0,"integrate(sqrt(a + b/(d*x^2 + c)), x)","F",0
328,0,0,0,0.000000," ","integrate((a+b/(d*x^2+c))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{d x^{2} + c}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(a + b/(d*x^2 + c))/x^2, x)","F",0
329,0,0,0,0.000000," ","integrate((a+b/(d*x^2+c))^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{d x^{2} + c}}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(a + b/(d*x^2 + c))/x^4, x)","F",0
330,0,0,0,0.000000," ","integrate((a+b/(d*x^2+c))^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{d x^{2} + c}}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(a + b/(d*x^2 + c))/x^6, x)","F",0
331,1,368,0,1.708572," ","integrate(x^5*(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","-\frac{b c^{2} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{d^{3}} - \frac{3 \, {\left(8 \, a^{2} b c^{2} - 20 \, a b^{2} c + b^{3}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{5}{2}} - 8 \, {\left(6 \, a^{3} b c^{2} - 12 \, a^{2} b^{2} c - a b^{3}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} + 3 \, {\left(8 \, a^{4} b c^{2} - 12 \, a^{3} b^{2} c - a^{2} b^{3}\right)} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{48 \, {\left(a^{4} d^{3} - \frac{3 \, {\left(a d x^{2} + a c + b\right)} a^{3} d^{3}}{d x^{2} + c} + \frac{3 \, {\left(a d x^{2} + a c + b\right)}^{2} a^{2} d^{3}}{{\left(d x^{2} + c\right)}^{2}} - \frac{{\left(a d x^{2} + a c + b\right)}^{3} a d^{3}}{{\left(d x^{2} + c\right)}^{3}}\right)}} - \frac{{\left(24 \, a^{2} c^{2} - 12 \, a b c - b^{2}\right)} b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{32 \, a^{\frac{3}{2}} d^{3}}"," ",0,"-b*c^2*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/d^3 - 1/48*(3*(8*a^2*b*c^2 - 20*a*b^2*c + b^3)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(5/2) - 8*(6*a^3*b*c^2 - 12*a^2*b^2*c - a*b^3)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) + 3*(8*a^4*b*c^2 - 12*a^3*b^2*c - a^2*b^3)*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^4*d^3 - 3*(a*d*x^2 + a*c + b)*a^3*d^3/(d*x^2 + c) + 3*(a*d*x^2 + a*c + b)^2*a^2*d^3/(d*x^2 + c)^2 - (a*d*x^2 + a*c + b)^3*a*d^3/(d*x^2 + c)^3) - 1/32*(24*a^2*c^2 - 12*a*b*c - b^2)*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(a^(3/2)*d^3)","A",0
332,1,247,0,1.712199," ","integrate(x^3*(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{b c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{d^{2}} + \frac{3 \, {\left(4 \, a c - b\right)} b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{16 \, \sqrt{a} d^{2}} - \frac{{\left(4 \, a b c - 5 \, b^{2}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} - {\left(4 \, a^{2} b c - 3 \, a b^{2}\right)} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{8 \, {\left(a^{2} d^{2} - \frac{2 \, {\left(a d x^{2} + a c + b\right)} a d^{2}}{d x^{2} + c} + \frac{{\left(a d x^{2} + a c + b\right)}^{2} d^{2}}{{\left(d x^{2} + c\right)}^{2}}\right)}}"," ",0,"b*c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/d^2 + 3/16*(4*a*c - b)*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(sqrt(a)*d^2) - 1/8*((4*a*b*c - 5*b^2)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) - (4*a^2*b*c - 3*a*b^2)*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^2*d^2 - 2*(a*d*x^2 + a*c + b)*a*d^2/(d*x^2 + c) + (a*d*x^2 + a*c + b)^2*d^2/(d*x^2 + c)^2)","A",0
333,1,156,0,2.238054," ","integrate(x*(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","-\frac{a b \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{2 \, {\left(a d - \frac{{\left(a d x^{2} + a c + b\right)} d}{d x^{2} + c}\right)}} - \frac{3 \, \sqrt{a} b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{4 \, d} - \frac{b \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{d}"," ",0,"-1/2*a*b*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/(a*d - (a*d*x^2 + a*c + b)*d/(d*x^2 + c)) - 3/4*sqrt(a)*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/d - b*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/d","A",0
334,1,201,0,2.110997," ","integrate((a+b/(d*x^2+c))^(3/2)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{\frac{3}{2}} \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right) + \frac{b \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{c} + \frac{{\left(a^{2} c^{2} + 2 \, a b c + b^{2}\right)} \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{2 \, \sqrt{{\left(a c + b\right)} c} c}"," ",0,"-1/2*a^(3/2)*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))) + b*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/c + 1/2*(a^2*c^2 + 2*a*b*c + b^2)*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/(sqrt((a*c + b)*c)*c)","A",0
335,1,202,0,2.412210," ","integrate((a+b/(d*x^2+c))^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{{\left(a b c + b^{2}\right)} d \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{2 \, {\left(a c^{3} + b c^{2} - \frac{{\left(a d x^{2} + a c + b\right)} c^{3}}{d x^{2} + c}\right)}} - \frac{b d \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{c^{2}} - \frac{3 \, {\left(a b c + b^{2}\right)} d \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{4 \, \sqrt{{\left(a c + b\right)} c} c^{2}}"," ",0,"-1/2*(a*b*c + b^2)*d*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/(a*c^3 + b*c^2 - (a*d*x^2 + a*c + b)*c^3/(d*x^2 + c)) - b*d*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/c^2 - 3/4*(a*b*c + b^2)*d*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/(sqrt((a*c + b)*c)*c^2)","A",0
336,1,313,0,2.422422," ","integrate((a+b/(d*x^2+c))^(3/2)/x^5,x, algorithm=""maxima"")","\frac{b d^{2} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{c^{3}} + \frac{3 \, {\left(4 \, a b c + 5 \, b^{2}\right)} d^{2} \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{16 \, \sqrt{{\left(a c + b\right)} c} c^{3}} - \frac{{\left(4 \, a b c^{2} + 9 \, b^{2} c\right)} d^{2} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} - {\left(4 \, a^{2} b c^{2} + 11 \, a b^{2} c + 7 \, b^{3}\right)} d^{2} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{8 \, {\left(a^{2} c^{5} + 2 \, a b c^{4} + b^{2} c^{3} + \frac{{\left(a d x^{2} + a c + b\right)}^{2} c^{5}}{{\left(d x^{2} + c\right)}^{2}} - \frac{2 \, {\left(a c^{5} + b c^{4}\right)} {\left(a d x^{2} + a c + b\right)}}{d x^{2} + c}\right)}}"," ",0,"b*d^2*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/c^3 + 3/16*(4*a*b*c + 5*b^2)*d^2*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/(sqrt((a*c + b)*c)*c^3) - 1/8*((4*a*b*c^2 + 9*b^2*c)*d^2*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) - (4*a^2*b*c^2 + 11*a*b^2*c + 7*b^3)*d^2*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^2*c^5 + 2*a*b*c^4 + b^2*c^3 + (a*d*x^2 + a*c + b)^2*c^5/(d*x^2 + c)^2 - 2*(a*c^5 + b*c^4)*(a*d*x^2 + a*c + b)/(d*x^2 + c))","A",0
337,1,534,0,2.492045," ","integrate((a+b/(d*x^2+c))^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{{\left(24 \, a^{2} b c^{2} + 60 \, a b^{2} c + 35 \, b^{3}\right)} d^{3} \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{32 \, {\left(a c^{5} + b c^{4}\right)} \sqrt{{\left(a c + b\right)} c}} - \frac{b d^{3} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{c^{4}} - \frac{3 \, {\left(8 \, a^{2} b c^{4} + 36 \, a b^{2} c^{3} + 29 \, b^{3} c^{2}\right)} d^{3} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{5}{2}} - 8 \, {\left(6 \, a^{3} b c^{4} + 30 \, a^{2} b^{2} c^{3} + 41 \, a b^{3} c^{2} + 17 \, b^{4} c\right)} d^{3} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} + 3 \, {\left(8 \, a^{4} b c^{4} + 44 \, a^{3} b^{2} c^{3} + 83 \, a^{2} b^{3} c^{2} + 66 \, a b^{4} c + 19 \, b^{5}\right)} d^{3} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{48 \, {\left(a^{4} c^{8} + 4 \, a^{3} b c^{7} + 6 \, a^{2} b^{2} c^{6} + 4 \, a b^{3} c^{5} + b^{4} c^{4} - \frac{{\left(a c^{8} + b c^{7}\right)} {\left(a d x^{2} + a c + b\right)}^{3}}{{\left(d x^{2} + c\right)}^{3}} + \frac{3 \, {\left(a^{2} c^{8} + 2 \, a b c^{7} + b^{2} c^{6}\right)} {\left(a d x^{2} + a c + b\right)}^{2}}{{\left(d x^{2} + c\right)}^{2}} - \frac{3 \, {\left(a^{3} c^{8} + 3 \, a^{2} b c^{7} + 3 \, a b^{2} c^{6} + b^{3} c^{5}\right)} {\left(a d x^{2} + a c + b\right)}}{d x^{2} + c}\right)}}"," ",0,"-1/32*(24*a^2*b*c^2 + 60*a*b^2*c + 35*b^3)*d^3*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/((a*c^5 + b*c^4)*sqrt((a*c + b)*c)) - b*d^3*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/c^4 - 1/48*(3*(8*a^2*b*c^4 + 36*a*b^2*c^3 + 29*b^3*c^2)*d^3*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(5/2) - 8*(6*a^3*b*c^4 + 30*a^2*b^2*c^3 + 41*a*b^3*c^2 + 17*b^4*c)*d^3*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) + 3*(8*a^4*b*c^4 + 44*a^3*b^2*c^3 + 83*a^2*b^3*c^2 + 66*a*b^4*c + 19*b^5)*d^3*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^4*c^8 + 4*a^3*b*c^7 + 6*a^2*b^2*c^6 + 4*a*b^3*c^5 + b^4*c^4 - (a*c^8 + b*c^7)*(a*d*x^2 + a*c + b)^3/(d*x^2 + c)^3 + 3*(a^2*c^8 + 2*a*b*c^7 + b^2*c^6)*(a*d*x^2 + a*c + b)^2/(d*x^2 + c)^2 - 3*(a^3*c^8 + 3*a^2*b*c^7 + 3*a*b^2*c^6 + b^3*c^5)*(a*d*x^2 + a*c + b)/(d*x^2 + c))","B",0
338,0,0,0,0.000000," ","integrate(x^4*(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int {\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}} x^{4}\,{d x}"," ",0,"integrate((a + b/(d*x^2 + c))^(3/2)*x^4, x)","F",0
339,0,0,0,0.000000," ","integrate(x^2*(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int {\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((a + b/(d*x^2 + c))^(3/2)*x^2, x)","F",0
340,0,0,0,0.000000," ","integrate((a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int {\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a + b/(d*x^2 + c))^(3/2), x)","F",0
341,0,0,0,0.000000," ","integrate((a+b/(d*x^2+c))^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((a + b/(d*x^2 + c))^(3/2)/x^2, x)","F",0
342,0,0,0,0.000000," ","integrate((a+b/(d*x^2+c))^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}}}{x^{4}}\,{d x}"," ",0,"integrate((a + b/(d*x^2 + c))^(3/2)/x^4, x)","F",0
343,0,0,0,0.000000," ","integrate((a+b/(d*x^2+c))^(3/2)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}}}{x^{6}}\,{d x}"," ",0,"integrate((a + b/(d*x^2 + c))^(3/2)/x^6, x)","F",0
344,1,340,0,2.276508," ","integrate(x^5/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(8 \, a^{2} b c^{2} + 12 \, a b^{2} c + 5 \, b^{3}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{5}{2}} - 8 \, {\left(6 \, a^{3} b c^{2} + 12 \, a^{2} b^{2} c + 5 \, a b^{3}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} + 3 \, {\left(8 \, a^{4} b c^{2} + 20 \, a^{3} b^{2} c + 11 \, a^{2} b^{3}\right)} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{48 \, {\left(a^{6} d^{3} - \frac{3 \, {\left(a d x^{2} + a c + b\right)} a^{5} d^{3}}{d x^{2} + c} + \frac{3 \, {\left(a d x^{2} + a c + b\right)}^{2} a^{4} d^{3}}{{\left(d x^{2} + c\right)}^{2}} - \frac{{\left(a d x^{2} + a c + b\right)}^{3} a^{3} d^{3}}{{\left(d x^{2} + c\right)}^{3}}\right)}} + \frac{{\left(8 \, a^{2} c^{2} + 12 \, a b c + 5 \, b^{2}\right)} b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{32 \, a^{\frac{7}{2}} d^{3}}"," ",0,"-1/48*(3*(8*a^2*b*c^2 + 12*a*b^2*c + 5*b^3)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(5/2) - 8*(6*a^3*b*c^2 + 12*a^2*b^2*c + 5*a*b^3)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) + 3*(8*a^4*b*c^2 + 20*a^3*b^2*c + 11*a^2*b^3)*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^6*d^3 - 3*(a*d*x^2 + a*c + b)*a^5*d^3/(d*x^2 + c) + 3*(a*d*x^2 + a*c + b)^2*a^4*d^3/(d*x^2 + c)^2 - (a*d*x^2 + a*c + b)^3*a^3*d^3/(d*x^2 + c)^3) + 1/32*(8*a^2*c^2 + 12*a*b*c + 5*b^2)*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(a^(7/2)*d^3)","A",0
345,1,223,0,2.490095," ","integrate(x^3/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","-\frac{{\left(4 \, a b c + 3 \, b^{2}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} - {\left(4 \, a^{2} b c + 5 \, a b^{2}\right)} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{8 \, {\left(a^{4} d^{2} - \frac{2 \, {\left(a d x^{2} + a c + b\right)} a^{3} d^{2}}{d x^{2} + c} + \frac{{\left(a d x^{2} + a c + b\right)}^{2} a^{2} d^{2}}{{\left(d x^{2} + c\right)}^{2}}\right)}} - \frac{{\left(4 \, a c + 3 \, b\right)} b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{16 \, a^{\frac{5}{2}} d^{2}}"," ",0,"-1/8*((4*a*b*c + 3*b^2)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) - (4*a^2*b*c + 5*a*b^2)*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^4*d^2 - 2*(a*d*x^2 + a*c + b)*a^3*d^2/(d*x^2 + c) + (a*d*x^2 + a*c + b)^2*a^2*d^2/(d*x^2 + c)^2) - 1/16*(4*a*c + 3*b)*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(a^(5/2)*d^2)","A",0
346,1,129,0,2.809019," ","integrate(x/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","-\frac{b \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{2 \, {\left(a^{2} d - \frac{{\left(a d x^{2} + a c + b\right)} a d}{d x^{2} + c}\right)}} + \frac{b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{4 \, a^{\frac{3}{2}} d}"," ",0,"-1/2*b*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/(a^2*d - (a*d*x^2 + a*c + b)*a*d/(d*x^2 + c)) + 1/4*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(a^(3/2)*d)","B",0
347,1,155,0,3.338127," ","integrate(1/x/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\frac{c \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{2 \, \sqrt{{\left(a c + b\right)} c}} - \frac{\log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{2 \, \sqrt{a}}"," ",0,"1/2*c*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/sqrt((a*c + b)*c) - 1/2*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/sqrt(a)","A",0
348,1,173,0,2.783986," ","integrate(1/x^3/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","-\frac{b d \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{2 \, {\left(a^{2} c^{2} + 2 \, a b c + b^{2} - \frac{{\left(a d x^{2} + a c + b\right)} {\left(a c^{2} + b c\right)}}{d x^{2} + c}\right)}} + \frac{b d \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{4 \, \sqrt{{\left(a c + b\right)} c} {\left(a c + b\right)}}"," ",0,"-1/2*b*d*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))/(a^2*c^2 + 2*a*b*c + b^2 - (a*d*x^2 + a*c + b)*(a*c^2 + b*c)/(d*x^2 + c)) + 1/4*b*d*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/(sqrt((a*c + b)*c)*(a*c + b))","A",0
349,1,359,0,2.371065," ","integrate(1/x^5/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","-\frac{{\left(4 \, a b c + b^{2}\right)} d^{2} \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{16 \, {\left(a^{2} c^{3} + 2 \, a b c^{2} + b^{2} c\right)} \sqrt{{\left(a c + b\right)} c}} - \frac{{\left(4 \, a b c^{2} + b^{2} c\right)} d^{2} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} - {\left(4 \, a^{2} b c^{2} + 3 \, a b^{2} c - b^{3}\right)} d^{2} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{8 \, {\left(a^{4} c^{5} + 4 \, a^{3} b c^{4} + 6 \, a^{2} b^{2} c^{3} + 4 \, a b^{3} c^{2} + b^{4} c + \frac{{\left(a^{2} c^{5} + 2 \, a b c^{4} + b^{2} c^{3}\right)} {\left(a d x^{2} + a c + b\right)}^{2}}{{\left(d x^{2} + c\right)}^{2}} - \frac{2 \, {\left(a^{3} c^{5} + 3 \, a^{2} b c^{4} + 3 \, a b^{2} c^{3} + b^{3} c^{2}\right)} {\left(a d x^{2} + a c + b\right)}}{d x^{2} + c}\right)}}"," ",0,"-1/16*(4*a*b*c + b^2)*d^2*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/((a^2*c^3 + 2*a*b*c^2 + b^2*c)*sqrt((a*c + b)*c)) - 1/8*((4*a*b*c^2 + b^2*c)*d^2*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) - (4*a^2*b*c^2 + 3*a*b^2*c - b^3)*d^2*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(a^4*c^5 + 4*a^3*b*c^4 + 6*a^2*b^2*c^3 + 4*a*b^3*c^2 + b^4*c + (a^2*c^5 + 2*a*b*c^4 + b^2*c^3)*(a*d*x^2 + a*c + b)^2/(d*x^2 + c)^2 - 2*(a^3*c^5 + 3*a^2*b*c^4 + 3*a*b^2*c^3 + b^3*c^2)*(a*d*x^2 + a*c + b)/(d*x^2 + c))","B",0
350,0,0,0,0.000000," ","integrate(x^4/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{a + \frac{b}{d x^{2} + c}}}\,{d x}"," ",0,"integrate(x^4/sqrt(a + b/(d*x^2 + c)), x)","F",0
351,0,0,0,0.000000," ","integrate(x^2/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{a + \frac{b}{d x^{2} + c}}}\,{d x}"," ",0,"integrate(x^2/sqrt(a + b/(d*x^2 + c)), x)","F",0
352,0,0,0,0.000000," ","integrate(1/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{d x^{2} + c}}}\,{d x}"," ",0,"integrate(1/sqrt(a + b/(d*x^2 + c)), x)","F",0
353,0,0,0,0.000000," ","integrate(1/x^2/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{d x^{2} + c}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/(d*x^2 + c))*x^2), x)","F",0
354,0,0,0,0.000000," ","integrate(1/x^4/(a+b/(d*x^2+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{d x^{2} + c}} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/(d*x^2 + c))*x^4), x)","F",0
355,1,389,0,2.359046," ","integrate(x^5/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{48 \, a^{5} b c^{2} + 96 \, a^{4} b^{2} c + 48 \, a^{3} b^{3} - \frac{3 \, {\left(24 \, a^{2} b c^{2} + 60 \, a b^{2} c + 35 \, b^{3}\right)} {\left(a d x^{2} + a c + b\right)}^{3}}{{\left(d x^{2} + c\right)}^{3}} + \frac{8 \, {\left(24 \, a^{3} b c^{2} + 60 \, a^{2} b^{2} c + 35 \, a b^{3}\right)} {\left(a d x^{2} + a c + b\right)}^{2}}{{\left(d x^{2} + c\right)}^{2}} - \frac{3 \, {\left(56 \, a^{4} b c^{2} + 132 \, a^{3} b^{2} c + 77 \, a^{2} b^{3}\right)} {\left(a d x^{2} + a c + b\right)}}{d x^{2} + c}}{48 \, {\left(a^{7} d^{3} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - 3 \, a^{6} d^{3} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} + 3 \, a^{5} d^{3} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{5}{2}} - a^{4} d^{3} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{7}{2}}\right)}} + \frac{{\left(24 \, a^{2} c^{2} + 60 \, a b c + 35 \, b^{2}\right)} b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{32 \, a^{\frac{9}{2}} d^{3}}"," ",0,"1/48*(48*a^5*b*c^2 + 96*a^4*b^2*c + 48*a^3*b^3 - 3*(24*a^2*b*c^2 + 60*a*b^2*c + 35*b^3)*(a*d*x^2 + a*c + b)^3/(d*x^2 + c)^3 + 8*(24*a^3*b*c^2 + 60*a^2*b^2*c + 35*a*b^3)*(a*d*x^2 + a*c + b)^2/(d*x^2 + c)^2 - 3*(56*a^4*b*c^2 + 132*a^3*b^2*c + 77*a^2*b^3)*(a*d*x^2 + a*c + b)/(d*x^2 + c))/(a^7*d^3*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - 3*a^6*d^3*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) + 3*a^5*d^3*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(5/2) - a^4*d^3*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(7/2)) + 1/32*(24*a^2*c^2 + 60*a*b*c + 35*b^2)*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(a^(9/2)*d^3)","A",0
356,1,262,0,2.309093," ","integrate(x^3/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","-\frac{8 \, a^{3} b c + 8 \, a^{2} b^{2} + \frac{3 \, {\left(a d x^{2} + a c + b\right)}^{2} {\left(4 \, a b c + 5 \, b^{2}\right)}}{{\left(d x^{2} + c\right)}^{2}} - \frac{5 \, {\left(4 \, a^{2} b c + 5 \, a b^{2}\right)} {\left(a d x^{2} + a c + b\right)}}{d x^{2} + c}}{8 \, {\left(a^{5} d^{2} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - 2 \, a^{4} d^{2} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} + a^{3} d^{2} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{5}{2}}\right)}} - \frac{3 \, {\left(4 \, a c + 5 \, b\right)} b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{16 \, a^{\frac{7}{2}} d^{2}}"," ",0,"-1/8*(8*a^3*b*c + 8*a^2*b^2 + 3*(a*d*x^2 + a*c + b)^2*(4*a*b*c + 5*b^2)/(d*x^2 + c)^2 - 5*(4*a^2*b*c + 5*a*b^2)*(a*d*x^2 + a*c + b)/(d*x^2 + c))/(a^5*d^2*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - 2*a^4*d^2*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) + a^3*d^2*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(5/2)) - 3/16*(4*a*c + 5*b)*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(a^(7/2)*d^2)","A",0
357,1,161,0,2.217103," ","integrate(x/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{2 \, a b - \frac{3 \, {\left(a d x^{2} + a c + b\right)} b}{d x^{2} + c}}{2 \, {\left(a^{3} d \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - a^{2} d \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}}\right)}} + \frac{3 \, b \log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{4 \, a^{\frac{5}{2}} d}"," ",0,"1/2*(2*a*b - 3*(a*d*x^2 + a*c + b)*b/(d*x^2 + c))/(a^3*d*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - a^2*d*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2)) + 3/4*b*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/(a^(5/2)*d)","A",0
358,1,201,0,2.234320," ","integrate(1/x/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{c^{2} \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{2 \, \sqrt{{\left(a c + b\right)} c} {\left(a c + b\right)}} - \frac{b}{{\left(a^{2} c + a b\right)} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}} - \frac{\log\left(-\frac{\sqrt{a} - \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}{\sqrt{a} + \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}}\right)}{2 \, a^{\frac{3}{2}}}"," ",0,"1/2*c^2*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/(sqrt((a*c + b)*c)*(a*c + b)) - b/((a^2*c + a*b)*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))) - 1/2*log(-(sqrt(a) - sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))/(sqrt(a) + sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c))))/a^(3/2)","A",0
359,1,247,0,2.342031," ","integrate(1/x^3/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\frac{3 \, b c d \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{4 \, {\left(a^{2} c^{2} + 2 \, a b c + b^{2}\right)} \sqrt{{\left(a c + b\right)} c}} + \frac{\frac{3 \, {\left(a d x^{2} + a c + b\right)} b c d}{d x^{2} + c} - 2 \, {\left(a b c + b^{2}\right)} d}{2 \, {\left({\left(a^{2} c^{3} + 2 \, a b c^{2} + b^{2} c\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} - {\left(a^{3} c^{3} + 3 \, a^{2} b c^{2} + 3 \, a b^{2} c + b^{3}\right)} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}\right)}}"," ",0,"3/4*b*c*d*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/((a^2*c^2 + 2*a*b*c + b^2)*sqrt((a*c + b)*c)) + 1/2*(3*(a*d*x^2 + a*c + b)*b*c*d/(d*x^2 + c) - 2*(a*b*c + b^2)*d)/((a^2*c^3 + 2*a*b*c^2 + b^2*c)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) - (a^3*c^3 + 3*a^2*b*c^2 + 3*a*b^2*c + b^3)*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))","A",0
360,1,450,0,2.347319," ","integrate(1/x^5/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(4 \, a b c - b^{2}\right)} d^{2} \log\left(\frac{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} - \sqrt{{\left(a c + b\right)} c}}{c \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}} + \sqrt{{\left(a c + b\right)} c}}\right)}{16 \, {\left(a^{3} c^{3} + 3 \, a^{2} b c^{2} + 3 \, a b^{2} c + b^{3}\right)} \sqrt{{\left(a c + b\right)} c}} - \frac{8 \, {\left(a^{3} b c^{2} + 2 \, a^{2} b^{2} c + a b^{3}\right)} d^{2} + \frac{3 \, {\left(4 \, a b c^{2} - b^{2} c\right)} {\left(a d x^{2} + a c + b\right)}^{2} d^{2}}{{\left(d x^{2} + c\right)}^{2}} - \frac{5 \, {\left(4 \, a^{2} b c^{2} + 3 \, a b^{2} c - b^{3}\right)} {\left(a d x^{2} + a c + b\right)} d^{2}}{d x^{2} + c}}{8 \, {\left({\left(a^{3} c^{5} + 3 \, a^{2} b c^{4} + 3 \, a b^{2} c^{3} + b^{3} c^{2}\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{5}{2}} - 2 \, {\left(a^{4} c^{5} + 4 \, a^{3} b c^{4} + 6 \, a^{2} b^{2} c^{3} + 4 \, a b^{3} c^{2} + b^{4} c\right)} \left(\frac{a d x^{2} + a c + b}{d x^{2} + c}\right)^{\frac{3}{2}} + {\left(a^{5} c^{5} + 5 \, a^{4} b c^{4} + 10 \, a^{3} b^{2} c^{3} + 10 \, a^{2} b^{3} c^{2} + 5 \, a b^{4} c + b^{5}\right)} \sqrt{\frac{a d x^{2} + a c + b}{d x^{2} + c}}\right)}}"," ",0,"-3/16*(4*a*b*c - b^2)*d^2*log((c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) - sqrt((a*c + b)*c))/(c*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)) + sqrt((a*c + b)*c)))/((a^3*c^3 + 3*a^2*b*c^2 + 3*a*b^2*c + b^3)*sqrt((a*c + b)*c)) - 1/8*(8*(a^3*b*c^2 + 2*a^2*b^2*c + a*b^3)*d^2 + 3*(4*a*b*c^2 - b^2*c)*(a*d*x^2 + a*c + b)^2*d^2/(d*x^2 + c)^2 - 5*(4*a^2*b*c^2 + 3*a*b^2*c - b^3)*(a*d*x^2 + a*c + b)*d^2/(d*x^2 + c))/((a^3*c^5 + 3*a^2*b*c^4 + 3*a*b^2*c^3 + b^3*c^2)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(5/2) - 2*(a^4*c^5 + 4*a^3*b*c^4 + 6*a^2*b^2*c^3 + 4*a*b^3*c^2 + b^4*c)*((a*d*x^2 + a*c + b)/(d*x^2 + c))^(3/2) + (a^5*c^5 + 5*a^4*b*c^4 + 10*a^3*b^2*c^3 + 10*a^2*b^3*c^2 + 5*a*b^4*c + b^5)*sqrt((a*d*x^2 + a*c + b)/(d*x^2 + c)))","B",0
361,0,0,0,0.000000," ","integrate(x^4/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/(a + b/(d*x^2 + c))^(3/2), x)","F",0
362,0,0,0,0.000000," ","integrate(x^2/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(a + b/(d*x^2 + c))^(3/2), x)","F",0
363,0,0,0,0.000000," ","integrate(1/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a + b/(d*x^2 + c))^(-3/2), x)","F",0
364,0,0,0,0.000000," ","integrate(1/x^2/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((a + b/(d*x^2 + c))^(3/2)*x^2), x)","F",0
365,0,0,0,0.000000," ","integrate(1/x^4/(a+b/(d*x^2+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{d x^{2} + c}\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((a + b/(d*x^2 + c))^(3/2)*x^4), x)","F",0
366,0,0,0,0.000000," ","integrate((a*x^23)^(1/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{23}}}{\sqrt{x^{5} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^23)/sqrt(x^5 + 1), x)","F",0
367,0,0,0,0.000000," ","integrate((a*x^13)^(1/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{13}}}{\sqrt{x^{5} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^13)/sqrt(x^5 + 1), x)","F",0
368,0,0,0,0.000000," ","integrate((a*x^3)^(1/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3}}}{\sqrt{x^{5} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^3)/sqrt(x^5 + 1), x)","F",0
369,1,41,0,2.217454," ","integrate((a/x^7)^(1/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\sqrt{a} x^{6} + \sqrt{a} x\right)}}{5 \, \sqrt{x^{4} - x^{3} + x^{2} - x + 1} \sqrt{x + 1} x^{\frac{7}{2}}}"," ",0,"-2/5*(sqrt(a)*x^6 + sqrt(a)*x)/(sqrt(x^4 - x^3 + x^2 - x + 1)*sqrt(x + 1)*x^(7/2))","B",0
370,1,50,0,2.866810," ","integrate((a/x^17)^(1/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, \sqrt{a} x^{11} + \sqrt{a} x^{6} - \sqrt{a} x\right)}}{15 \, \sqrt{x^{4} - x^{3} + x^{2} - x + 1} \sqrt{x + 1} x^{\frac{17}{2}}}"," ",0,"2/15*(2*sqrt(a)*x^11 + sqrt(a)*x^6 - sqrt(a)*x)/(sqrt(x^4 - x^3 + x^2 - x + 1)*sqrt(x + 1)*x^(17/2))","A",0
371,1,26,0,2.525257," ","integrate((a*x^6)^(1/2)/x/(-x^4+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{a} \arctan\left(x\right) + \frac{1}{4} \, \sqrt{a} \log\left(x + 1\right) - \frac{1}{4} \, \sqrt{a} \log\left(x - 1\right)"," ",0,"-1/2*sqrt(a)*arctan(x) + 1/4*sqrt(a)*log(x + 1) - 1/4*sqrt(a)*log(x - 1)","A",0
372,1,26,0,2.076575," ","integrate((a*x^6)^(1/2)/(-x^5+x),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{a} \arctan\left(x\right) + \frac{1}{4} \, \sqrt{a} \log\left(x + 1\right) - \frac{1}{4} \, \sqrt{a} \log\left(x - 1\right)"," ",0,"-1/2*sqrt(a)*arctan(x) + 1/4*sqrt(a)*log(x + 1) - 1/4*sqrt(a)*log(x - 1)","A",0
373,1,40,0,2.094560," ","integrate((a*x^6)^(3/2)/x/(-x^4+1),x, algorithm=""maxima"")","-\frac{1}{5} \, a^{\frac{3}{2}} x^{5} - a^{\frac{3}{2}} x + \frac{1}{2} \, a^{\frac{3}{2}} \arctan\left(x\right) + \frac{1}{4} \, a^{\frac{3}{2}} \log\left(x + 1\right) - \frac{1}{4} \, a^{\frac{3}{2}} \log\left(x - 1\right)"," ",0,"-1/5*a^(3/2)*x^5 - a^(3/2)*x + 1/2*a^(3/2)*arctan(x) + 1/4*a^(3/2)*log(x + 1) - 1/4*a^(3/2)*log(x - 1)","A",0
374,1,42,0,2.704407," ","integrate(1/(-x^4+1)-(a*x^6)^(1/2)/x/(-x^4+1),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{a} \arctan\left(x\right) - \frac{1}{4} \, \sqrt{a} \log\left(x + 1\right) + \frac{1}{4} \, \sqrt{a} \log\left(x - 1\right) + \frac{1}{2} \, \arctan\left(x\right) + \frac{1}{4} \, \log\left(x + 1\right) - \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"1/2*sqrt(a)*arctan(x) - 1/4*sqrt(a)*log(x + 1) + 1/4*sqrt(a)*log(x - 1) + 1/2*arctan(x) + 1/4*log(x + 1) - 1/4*log(x - 1)","A",0
375,1,42,0,2.037953," ","integrate(1/(-x^4+1)-(a*x^6)^(1/2)/(-x^5+x),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{a} \arctan\left(x\right) - \frac{1}{4} \, \sqrt{a} \log\left(x + 1\right) + \frac{1}{4} \, \sqrt{a} \log\left(x - 1\right) + \frac{1}{2} \, \arctan\left(x\right) + \frac{1}{4} \, \log\left(x + 1\right) - \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"1/2*sqrt(a)*arctan(x) - 1/4*sqrt(a)*log(x + 1) + 1/4*sqrt(a)*log(x - 1) + 1/2*arctan(x) + 1/4*log(x + 1) - 1/4*log(x - 1)","A",0
376,1,32,0,2.175137," ","integrate((a*x^3)^(1/2)/(-x^3+x),x, algorithm=""maxima"")","-\sqrt{a} \arctan\left(\sqrt{x}\right) + \frac{1}{2} \, \sqrt{a} \log\left(\sqrt{x} + 1\right) - \frac{1}{2} \, \sqrt{a} \log\left(\sqrt{x} - 1\right)"," ",0,"-sqrt(a)*arctan(sqrt(x)) + 1/2*sqrt(a)*log(sqrt(x) + 1) - 1/2*sqrt(a)*log(sqrt(x) - 1)","A",0
377,0,0,0,0.000000," ","integrate((a*x^4)^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{4}}}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^4)/sqrt(x^2 + 1), x)","F",0
378,0,0,0,0.000000," ","integrate((a*x^3)^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3}}}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^3)/sqrt(x^2 + 1), x)","F",0
379,1,19,0,1.902573," ","integrate((a*x^2)^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{a} x^{2} + \sqrt{a}}{\sqrt{x^{2} + 1}}"," ",0,"(sqrt(a)*x^2 + sqrt(a))/sqrt(x^2 + 1)","A",0
380,0,0,0,0.000000," ","integrate((a*x)^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x}}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x)/sqrt(x^2 + 1), x)","F",0
381,0,0,0,0.000000," ","integrate((a/x)^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{a}{x}}}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(a/x)/sqrt(x^2 + 1), x)","F",0
382,0,0,0,0.000000," ","integrate((a/x^2)^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{a}{x^{2}}}}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(a/x^2)/sqrt(x^2 + 1), x)","F",0
383,0,0,0,0.000000," ","integrate((a/x^3)^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{a}{x^{3}}}}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(a/x^3)/sqrt(x^2 + 1), x)","F",0
384,1,23,0,1.969992," ","integrate((a/x^4)^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{a} x^{2} + \sqrt{a}}{\sqrt{x^{2} + 1} x}"," ",0,"-(sqrt(a)*x^2 + sqrt(a))/(sqrt(x^2 + 1)*x)","A",0
385,1,28,0,2.259665," ","integrate((a*x^4)^(1/2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\sqrt{a} x^{3} + \sqrt{a}\right)}}{3 \, \sqrt{x^{2} - x + 1} \sqrt{x + 1}}"," ",0,"2/3*(sqrt(a)*x^3 + sqrt(a))/(sqrt(x^2 - x + 1)*sqrt(x + 1))","A",0
386,0,0,0,0.000000," ","integrate((a*x^3)^(1/2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3}}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^3)/sqrt(x^3 + 1), x)","F",0
387,0,0,0,0.000000," ","integrate((a*x^2)^(1/2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2}}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^2)/sqrt(x^3 + 1), x)","F",0
388,0,0,0,0.000000," ","integrate((a*x)^(1/2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x)/sqrt(x^3 + 1), x)","F",0
389,0,0,0,0.000000," ","integrate((a/x)^(1/2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{a}{x}}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(sqrt(a/x)/sqrt(x^3 + 1), x)","F",0
390,0,0,0,0.000000," ","integrate((a/x^2)^(1/2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{a}{x^{2}}}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(sqrt(a/x^2)/sqrt(x^3 + 1), x)","F",0
391,0,0,0,0.000000," ","integrate((a/x^3)^(1/2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{a}{x^{3}}}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(sqrt(a/x^3)/sqrt(x^3 + 1), x)","F",0
392,0,0,0,0.000000," ","integrate((a/x^4)^(1/2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{a}{x^{4}}}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(sqrt(a/x^4)/sqrt(x^3 + 1), x)","F",0
393,0,0,0,0.000000," ","integrate((a*x^(2*n))^(1/2)/(1+x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2 \, n}}}{\sqrt{x^{n} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^(2*n))/sqrt(x^n + 1), x)","F",0
394,0,0,0,0.000000," ","integrate((a*x^n)^(1/2)/(1+x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{n}}}{\sqrt{x^{n} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^n)/sqrt(x^n + 1), x)","F",0
395,0,0,0,0.000000," ","integrate((a*x^(1/2*n))^(1/2)/(1+x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{\frac{1}{2} \, n}}}{\sqrt{x^{n} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x^(1/2*n))/sqrt(x^n + 1), x)","F",0
396,1,18,0,1.512682," ","integrate((a*x^(2*n))^(1/2)/(1+x^n)^(1/2)+2*(a*x^(2*n))^(1/2)/(2+n)/(x^n)/(1+x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{a} \sqrt{x^{n} + 1} x}{n + 2}"," ",0,"2*sqrt(a)*sqrt(x^n + 1)*x/(n + 2)","A",0
397,0,0,0,0.000000," ","integrate((a*x)^(1/2)/(e*x+d)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x}}{\sqrt{e x + d} \sqrt{f x + e}}\,{d x}"," ",0,"integrate(sqrt(a*x)/(sqrt(e*x + d)*sqrt(f*x + e)), x)","F",0
398,1,17,0,1.480260," ","integrate((a*x^m)^r,x, algorithm=""maxima"")","\frac{a^{r} x {\left(x^{m}\right)}^{r}}{m r + 1}"," ",0,"a^r*x*(x^m)^r/(m*r + 1)","A",0
399,1,32,0,1.079547," ","integrate((a*x^m)^r*(b*x^n)^s,x, algorithm=""maxima"")","\frac{a^{r} b^{s} x e^{\left(r \log\left(x^{m}\right) + s \log\left(x^{n}\right)\right)}}{m r + n s + 1}"," ",0,"a^r*b^s*x*e^(r*log(x^m) + s*log(x^n))/(m*r + n*s + 1)","A",0
400,1,44,0,1.266477," ","integrate((a*x^m)^r*(b*x^n)^s*(c*x^p)^t,x, algorithm=""maxima"")","\frac{a^{r} b^{s} c^{t} x e^{\left(r \log\left(x^{m}\right) + s \log\left(x^{n}\right) + t \log\left(x^{p}\right)\right)}}{m r + n s + p t + 1}"," ",0,"a^r*b^s*c^t*x*e^(r*log(x^m) + s*log(x^n) + t*log(x^p))/(m*r + n*s + p*t + 1)","A",0
401,0,0,0,0.000000," ","integrate(x^2/((b*x+a)^(1/2)+(b*x+c)^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{b x + a} + \sqrt{b x + c}}\,{d x}"," ",0,"integrate(x^2/(sqrt(b*x + a) + sqrt(b*x + c)), x)","F",0
402,0,0,0,0.000000," ","integrate(x/((b*x+a)^(1/2)+(b*x+c)^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b x + a} + \sqrt{b x + c}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x + a) + sqrt(b*x + c)), x)","F",0
403,0,0,0,0.000000," ","integrate(1/((b*x+a)^(1/2)+(b*x+c)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} + \sqrt{b x + c}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a) + sqrt(b*x + c)), x)","F",0
404,0,0,0,0.000000," ","integrate(1/x/((b*x+a)^(1/2)+(b*x+c)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x {\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}}\,{d x}"," ",0,"integrate(1/(x*(sqrt(b*x + a) + sqrt(b*x + c))), x)","F",0
405,0,0,0,0.000000," ","integrate(1/x^2/((b*x+a)^(1/2)+(b*x+c)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x^{2} {\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}}\,{d x}"," ",0,"integrate(1/(x^2*(sqrt(b*x + a) + sqrt(b*x + c))), x)","F",0
406,0,0,0,0.000000," ","integrate(x^2/((b*x+a)^(1/2)+(b*x+c)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/(sqrt(b*x + a) + sqrt(b*x + c))^2, x)","F",0
407,0,0,0,0.000000," ","integrate(x/((b*x+a)^(1/2)+(b*x+c)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{x}{{\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{2}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x + a) + sqrt(b*x + c))^2, x)","F",0
408,0,0,0,0.000000," ","integrate(1/((b*x+a)^(1/2)+(b*x+c)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{2}}\,{d x}"," ",0,"integrate((sqrt(b*x + a) + sqrt(b*x + c))^(-2), x)","F",0
409,0,0,0,0.000000," ","integrate(1/x/((b*x+a)^(1/2)+(b*x+c)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{x {\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{2}}\,{d x}"," ",0,"integrate(1/(x*(sqrt(b*x + a) + sqrt(b*x + c))^2), x)","F",0
410,0,0,0,0.000000," ","integrate(1/x^2/((b*x+a)^(1/2)+(b*x+c)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{x^{2} {\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{2}}\,{d x}"," ",0,"integrate(1/(x^2*(sqrt(b*x + a) + sqrt(b*x + c))^2), x)","F",0
411,0,0,0,0.000000," ","integrate(x^2/((b*x+a)^(1/2)+(b*x+c)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{3}}\,{d x}"," ",0,"integrate(x^2/(sqrt(b*x + a) + sqrt(b*x + c))^3, x)","F",0
412,0,0,0,0.000000," ","integrate(x/((b*x+a)^(1/2)+(b*x+c)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{x}{{\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{3}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x + a) + sqrt(b*x + c))^3, x)","F",0
413,0,0,0,0.000000," ","integrate(1/((b*x+a)^(1/2)+(b*x+c)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{3}}\,{d x}"," ",0,"integrate((sqrt(b*x + a) + sqrt(b*x + c))^(-3), x)","F",0
414,0,0,0,0.000000," ","integrate(1/x/((b*x+a)^(1/2)+(b*x+c)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{1}{x {\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{3}}\,{d x}"," ",0,"integrate(1/(x*(sqrt(b*x + a) + sqrt(b*x + c))^3), x)","F",0
415,0,0,0,0.000000," ","integrate(1/x^2/((b*x+a)^(1/2)+(b*x+c)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{1}{x^{2} {\left(\sqrt{b x + a} + \sqrt{b x + c}\right)}^{3}}\,{d x}"," ",0,"integrate(1/(x^2*(sqrt(b*x + a) + sqrt(b*x + c))^3), x)","F",0
416,0,0,0,0.000000," ","integrate(1/(x^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + 1} + \sqrt{x}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 1) + sqrt(x)), x)","F",0
417,0,0,0,0.000000," ","integrate(1/((-1+x)^(1/2)+x^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x - 1} + \sqrt{x}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 1) + sqrt(x)), x)","F",0
418,0,0,0,0.000000," ","integrate(1/((-1+x)^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + 1} + \sqrt{x - 1}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 1) + sqrt(x - 1)), x)","F",0
419,1,31,0,1.306091," ","integrate(x^3*((1-x)^(1/2)+(1+x)^(1/2))^2,x, algorithm=""maxima"")","\frac{1}{2} \, x^{4} - \frac{2}{5} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x^{2} - \frac{4}{15} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/2*x^4 - 2/5*(-x^2 + 1)^(3/2)*x^2 - 4/15*(-x^2 + 1)^(3/2)","A",0
420,1,34,0,1.395248," ","integrate(x^2*((1-x)^(1/2)+(1+x)^(1/2))^2,x, algorithm=""maxima"")","\frac{2}{3} \, x^{3} - \frac{1}{2} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{1}{4} \, \sqrt{-x^{2} + 1} x + \frac{1}{4} \, \arcsin\left(x\right)"," ",0,"2/3*x^3 - 1/2*(-x^2 + 1)^(3/2)*x + 1/4*sqrt(-x^2 + 1)*x + 1/4*arcsin(x)","A",0
421,1,15,0,1.341921," ","integrate(x*((1-x)^(1/2)+(1+x)^(1/2))^2,x, algorithm=""maxima"")","x^{2} - \frac{2}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"x^2 - 2/3*(-x^2 + 1)^(3/2)","A",0
422,1,17,0,1.418067," ","integrate(((1-x)^(1/2)+(1+x)^(1/2))^2,x, algorithm=""maxima"")","\sqrt{-x^{2} + 1} x + 2 \, x + \arcsin\left(x\right)"," ",0,"sqrt(-x^2 + 1)*x + 2*x + arcsin(x)","A",0
423,1,41,0,1.526289," ","integrate(((1-x)^(1/2)+(1+x)^(1/2))^2/x,x, algorithm=""maxima"")","2 \, \sqrt{-x^{2} + 1} + 2 \, \log\left(x\right) - 2 \, \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"2*sqrt(-x^2 + 1) + 2*log(x) - 2*log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
424,1,24,0,1.261031," ","integrate(((1-x)^(1/2)+(1+x)^(1/2))^2/x^2,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-x^{2} + 1}}{x} - \frac{2}{x} - 2 \, \arcsin\left(x\right)"," ",0,"-2*sqrt(-x^2 + 1)/x - 2/x - 2*arcsin(x)","A",0
425,1,54,0,1.521564," ","integrate(((1-x)^(1/2)+(1+x)^(1/2))^2/x^3,x, algorithm=""maxima"")","-\sqrt{-x^{2} + 1} - \frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{x^{2}} - \frac{1}{x^{2}} + \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"-sqrt(-x^2 + 1) - (-x^2 + 1)^(3/2)/x^2 - 1/x^2 + log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
426,0,0,0,0.000000," ","integrate(x^3/((b*x+a)^(1/2)+(c*x+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{b x + a} + \sqrt{c x + a}}\,{d x}"," ",0,"integrate(x^3/(sqrt(b*x + a) + sqrt(c*x + a)), x)","F",0
427,0,0,0,0.000000," ","integrate(x^2/((b*x+a)^(1/2)+(c*x+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{b x + a} + \sqrt{c x + a}}\,{d x}"," ",0,"integrate(x^2/(sqrt(b*x + a) + sqrt(c*x + a)), x)","F",0
428,0,0,0,0.000000," ","integrate(x/((b*x+a)^(1/2)+(c*x+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b x + a} + \sqrt{c x + a}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x + a) + sqrt(c*x + a)), x)","F",0
429,0,0,0,0.000000," ","integrate(1/((b*x+a)^(1/2)+(c*x+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} + \sqrt{c x + a}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a) + sqrt(c*x + a)), x)","F",0
430,0,0,0,0.000000," ","integrate(1/x/((b*x+a)^(1/2)+(c*x+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x {\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}}\,{d x}"," ",0,"integrate(1/(x*(sqrt(b*x + a) + sqrt(c*x + a))), x)","F",0
431,0,0,0,0.000000," ","integrate(1/x^2/((b*x+a)^(1/2)+(c*x+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x^{2} {\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}}\,{d x}"," ",0,"integrate(1/(x^2*(sqrt(b*x + a) + sqrt(c*x + a))), x)","F",0
432,0,0,0,0.000000," ","integrate(x^3/((b*x+a)^(1/2)+(c*x+a)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{2}}\,{d x}"," ",0,"integrate(x^3/(sqrt(b*x + a) + sqrt(c*x + a))^2, x)","F",0
433,0,0,0,0.000000," ","integrate(x^2/((b*x+a)^(1/2)+(c*x+a)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/(sqrt(b*x + a) + sqrt(c*x + a))^2, x)","F",0
434,0,0,0,0.000000," ","integrate(x/((b*x+a)^(1/2)+(c*x+a)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{x}{{\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{2}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x + a) + sqrt(c*x + a))^2, x)","F",0
435,0,0,0,0.000000," ","integrate(1/((b*x+a)^(1/2)+(c*x+a)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{2}}\,{d x}"," ",0,"integrate((sqrt(b*x + a) + sqrt(c*x + a))^(-2), x)","F",0
436,0,0,0,0.000000," ","integrate(1/x/((b*x+a)^(1/2)+(c*x+a)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{x {\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{2}}\,{d x}"," ",0,"integrate(1/(x*(sqrt(b*x + a) + sqrt(c*x + a))^2), x)","F",0
437,0,0,0,0.000000," ","integrate(1/x^2/((b*x+a)^(1/2)+(c*x+a)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{x^{2} {\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{2}}\,{d x}"," ",0,"integrate(1/(x^2*(sqrt(b*x + a) + sqrt(c*x + a))^2), x)","F",0
438,0,0,0,0.000000," ","integrate(x^4/((b*x+a)^(1/2)+(c*x+a)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{3}}\,{d x}"," ",0,"integrate(x^4/(sqrt(b*x + a) + sqrt(c*x + a))^3, x)","F",0
439,0,0,0,0.000000," ","integrate(x^3/((b*x+a)^(1/2)+(c*x+a)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{3}}\,{d x}"," ",0,"integrate(x^3/(sqrt(b*x + a) + sqrt(c*x + a))^3, x)","F",0
440,0,0,0,0.000000," ","integrate(x^2/((b*x+a)^(1/2)+(c*x+a)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{3}}\,{d x}"," ",0,"integrate(x^2/(sqrt(b*x + a) + sqrt(c*x + a))^3, x)","F",0
441,0,0,0,0.000000," ","integrate(x/((b*x+a)^(1/2)+(c*x+a)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{x}{{\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{3}}\,{d x}"," ",0,"integrate(x/(sqrt(b*x + a) + sqrt(c*x + a))^3, x)","F",0
442,0,0,0,0.000000," ","integrate(1/((b*x+a)^(1/2)+(c*x+a)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(\sqrt{b x + a} + \sqrt{c x + a}\right)}^{3}}\,{d x}"," ",0,"integrate((sqrt(b*x + a) + sqrt(c*x + a))^(-3), x)","F",0
443,1,23,0,1.493921," ","integrate((1-x)^(1/2)*((1-x)^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} + \frac{1}{2} \, \sqrt{-x^{2} + 1} x + x + \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"-1/2*x^2 + 1/2*sqrt(-x^2 + 1)*x + x + 1/2*arcsin(x)","A",0
444,1,31,0,1.384558," ","integrate(x^3*(-(1-x)^(1/2)-(1+x)^(1/2))*((1-x)^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{4} + \frac{2}{5} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x^{2} + \frac{4}{15} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"-1/2*x^4 + 2/5*(-x^2 + 1)^(3/2)*x^2 + 4/15*(-x^2 + 1)^(3/2)","A",0
445,1,34,0,1.495521," ","integrate(x^2*(-(1-x)^(1/2)-(1+x)^(1/2))*((1-x)^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","-\frac{2}{3} \, x^{3} + \frac{1}{2} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x - \frac{1}{4} \, \sqrt{-x^{2} + 1} x - \frac{1}{4} \, \arcsin\left(x\right)"," ",0,"-2/3*x^3 + 1/2*(-x^2 + 1)^(3/2)*x - 1/4*sqrt(-x^2 + 1)*x - 1/4*arcsin(x)","A",0
446,1,17,0,1.472069," ","integrate(x*(-(1-x)^(1/2)-(1+x)^(1/2))*((1-x)^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","-x^{2} + \frac{2}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"-x^2 + 2/3*(-x^2 + 1)^(3/2)","A",0
447,1,20,0,1.389027," ","integrate((-(1-x)^(1/2)-(1+x)^(1/2))*((1-x)^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 1} x - 2 \, x - \arcsin\left(x\right)"," ",0,"-sqrt(-x^2 + 1)*x - 2*x - arcsin(x)","A",0
448,1,41,0,1.952766," ","integrate((-(1-x)^(1/2)-(1+x)^(1/2))*((1-x)^(1/2)+(1+x)^(1/2))/x,x, algorithm=""maxima"")","-2 \, \sqrt{-x^{2} + 1} - 2 \, \log\left(x\right) + 2 \, \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"-2*sqrt(-x^2 + 1) - 2*log(x) + 2*log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
449,1,24,0,1.895669," ","integrate((-(1-x)^(1/2)-(1+x)^(1/2))*((1-x)^(1/2)+(1+x)^(1/2))/x^2,x, algorithm=""maxima"")","\frac{2 \, \sqrt{-x^{2} + 1}}{x} + \frac{2}{x} + 2 \, \arcsin\left(x\right)"," ",0,"2*sqrt(-x^2 + 1)/x + 2/x + 2*arcsin(x)","A",0
450,1,51,0,2.017354," ","integrate((-(1-x)^(1/2)-(1+x)^(1/2))*((1-x)^(1/2)+(1+x)^(1/2))/x^3,x, algorithm=""maxima"")","\sqrt{-x^{2} + 1} + \frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{x^{2}} + \frac{1}{x^{2}} - \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"sqrt(-x^2 + 1) + (-x^2 + 1)^(3/2)/x^2 + 1/x^2 - log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
451,0,0,0,0.000000," ","integrate(((1-x)^(1/2)+(1+x)^(1/2))/(-(1-x)^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1} + \sqrt{-x + 1}}{\sqrt{x + 1} - \sqrt{-x + 1}}\,{d x}"," ",0,"integrate((sqrt(x + 1) + sqrt(-x + 1))/(sqrt(x + 1) - sqrt(-x + 1)), x)","F",0
452,0,0,0,0.000000," ","integrate((-(-1+x)^(1/2)+(1+x)^(1/2))/((-1+x)^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1} - \sqrt{x - 1}}{\sqrt{x + 1} + \sqrt{x - 1}}\,{d x}"," ",0,"integrate((sqrt(x + 1) - sqrt(x - 1))/(sqrt(x + 1) + sqrt(x - 1)), x)","F",0
453,0,0,0,0.000000," ","integrate((d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{n}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a)*f + d)^n, x)","F",0
454,1,266,0,0.936305," ","integrate((d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^3,x, algorithm=""maxima"")","\frac{1}{4} \, e^{3} x^{4} + \frac{3 \, {\left(\frac{e^{2} x^{2}}{f^{2}} + a\right)}^{2} f^{4}}{4 \, e} - \frac{3}{8} \, {\left(\frac{a^{2} f^{3} \operatorname{arsinh}\left(\frac{e x}{\sqrt{a} f}\right)}{e^{3}} - \frac{2 \, {\left(\frac{e^{2} x^{2}}{f^{2}} + a\right)}^{\frac{3}{2}} f^{2} x}{e^{2}} + \frac{\sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} a f^{2} x}{e^{2}}\right)} e^{2} f + \frac{1}{8} \, {\left(\frac{3 \, a^{2} f \operatorname{arsinh}\left(\frac{e x}{\sqrt{a} f}\right)}{e} + 2 \, {\left(\frac{e^{2} x^{2}}{f^{2}} + a\right)}^{\frac{3}{2}} x + 3 \, \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} a x\right)} f^{3} + d^{3} x + \frac{3}{2} \, {\left(e x^{2} + {\left(\frac{a f \operatorname{arsinh}\left(\frac{e x}{\sqrt{a} f}\right)}{e} + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} x\right)} f\right)} d^{2} + {\left(e^{2} x^{3} + \frac{2 \, {\left(\frac{e^{2} x^{2}}{f^{2}} + a\right)}^{\frac{3}{2}} f^{3}}{e} + {\left(\frac{e^{2} x^{3}}{f^{2}} + 3 \, a x\right)} f^{2}\right)} d"," ",0,"1/4*e^3*x^4 + 3/4*(e^2*x^2/f^2 + a)^2*f^4/e - 3/8*(a^2*f^3*arcsinh(e*x/(sqrt(a)*f))/e^3 - 2*(e^2*x^2/f^2 + a)^(3/2)*f^2*x/e^2 + sqrt(e^2*x^2/f^2 + a)*a*f^2*x/e^2)*e^2*f + 1/8*(3*a^2*f*arcsinh(e*x/(sqrt(a)*f))/e + 2*(e^2*x^2/f^2 + a)^(3/2)*x + 3*sqrt(e^2*x^2/f^2 + a)*a*x)*f^3 + d^3*x + 3/2*(e*x^2 + (a*f*arcsinh(e*x/(sqrt(a)*f))/e + sqrt(e^2*x^2/f^2 + a)*x)*f)*d^2 + (e^2*x^3 + 2*(e^2*x^2/f^2 + a)^(3/2)*f^3/e + (e^2*x^3/f^2 + 3*a*x)*f^2)*d","A",0
455,1,99,0,0.889331," ","integrate((d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^2,x, algorithm=""maxima"")","\frac{1}{3} \, e^{2} x^{3} + \frac{2 \, {\left(\frac{e^{2} x^{2}}{f^{2}} + a\right)}^{\frac{3}{2}} f^{3}}{3 \, e} + \frac{1}{3} \, {\left(\frac{e^{2} x^{3}}{f^{2}} + 3 \, a x\right)} f^{2} + d^{2} x + {\left(e x^{2} + {\left(\frac{a f \operatorname{arsinh}\left(\frac{e x}{\sqrt{a} f}\right)}{e} + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} x\right)} f\right)} d"," ",0,"1/3*e^2*x^3 + 2/3*(e^2*x^2/f^2 + a)^(3/2)*f^3/e + 1/3*(e^2*x^3/f^2 + 3*a*x)*f^2 + d^2*x + (e*x^2 + (a*f*arcsinh(e*x/(sqrt(a)*f))/e + sqrt(e^2*x^2/f^2 + a)*x)*f)*d","A",0
456,1,46,0,0.872535," ","integrate(d+e*x+f*(a+e^2*x^2/f^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, e x^{2} + \frac{1}{2} \, {\left(\frac{a f \operatorname{arsinh}\left(\frac{e x}{\sqrt{a} f}\right)}{e} + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} x\right)} f + d x"," ",0,"1/2*e*x^2 + 1/2*(a*f*arcsinh(e*x/(sqrt(a)*f))/e + sqrt(e^2*x^2/f^2 + a)*x)*f + d*x","A",0
457,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+e^2*x^2/f^2)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d}\,{d x}"," ",0,"integrate(1/(e*x + sqrt(e^2*x^2/f^2 + a)*f + d), x)","F",0
458,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a)*f + d)^(-2), x)","F",0
459,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a)*f + d)^(-3), x)","F",0
460,0,0,0,0.000000," ","integrate((d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^(5/2),x, algorithm=""maxima"")","\int {\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a)*f + d)^(5/2), x)","F",0
461,0,0,0,0.000000," ","integrate((d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^(3/2),x, algorithm=""maxima"")","\int {\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a)*f + d)^(3/2), x)","F",0
462,0,0,0,0.000000," ","integrate((d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d}\,{d x}"," ",0,"integrate(sqrt(e*x + sqrt(e^2*x^2/f^2 + a)*f + d), x)","F",0
463,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d}}\,{d x}"," ",0,"integrate(1/sqrt(e*x + sqrt(e^2*x^2/f^2 + a)*f + d), x)","F",0
464,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a)*f + d)^(-3/2), x)","F",0
465,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+e^2*x^2/f^2)^(1/2))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a)*f + d)^(-5/2), x)","F",0
466,0,0,0,0.000000," ","integrate((x-(x^2-4)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x - \sqrt{x^{2} - 4}}\,{d x}"," ",0,"integrate(sqrt(x - sqrt(x^2 - 4)), x)","F",0
467,0,0,0,0.000000," ","integrate((a*x+b*(c+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a x + \sqrt{\frac{a^{2} x^{2}}{b^{2}} + c} b}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a^2*x^2/b^2 + c)*b), x)","F",0
468,0,0,0,0.000000," ","integrate((1+(-x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{-x^{2} + 1} + 1}\,{d x}"," ",0,"integrate(sqrt(sqrt(-x^2 + 1) + 1), x)","F",0
469,0,0,0,0.000000," ","integrate(((x^2+1)^(1/2)+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{x^{2} + 1} + 1}\,{d x}"," ",0,"integrate(sqrt(sqrt(x^2 + 1) + 1), x)","F",0
470,0,0,0,0.000000," ","integrate((5+(x^2+25)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{x^{2} + 25} + 5}\,{d x}"," ",0,"integrate(sqrt(sqrt(x^2 + 25) + 5), x)","F",0
471,0,0,0,0.000000," ","integrate((a+b*(1/b^2*a^2+c*x^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{c x^{2} + \frac{a^{2}}{b^{2}}} b + a}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^2 + a^2/b^2)*b + a), x)","F",0
472,0,0,0,0.000000," ","integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{n}\,{d x}"," ",0,"integrate((e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d)^n, x)","F",0
473,-2,0,0,0.000000," ","integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^3,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(b^2*f^2-4*a*e^2>0)', see `assume?` for more details)Is b^2*f^2-4*a*e^2    positive, negative or zero?","F(-2)",0
474,-2,0,0,0.000000," ","integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^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(b^2*f^2-4*a*e^2>0)', see `assume?` for more details)Is b^2*f^2-4*a*e^2    positive, negative or zero?","F(-2)",0
475,-2,0,0,0.000000," ","integrate(d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2),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(b^2*f^2-4*a*e^2>0)', see `assume?` for more details)Is b^2*f^2-4*a*e^2    positive, negative or zero?","F(-2)",0
476,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d}\,{d x}"," ",0,"integrate(1/(e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d), x)","F",0
477,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d)^(-2), x)","F",0
478,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{3}}\,{d x}"," ",0,"integrate((e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d)^(-3), x)","F",0
479,0,0,0,0.000000," ","integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^(5/2),x, algorithm=""maxima"")","\int {\left(e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d)^(5/2), x)","F",0
480,0,0,0,0.000000," ","integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^(3/2),x, algorithm=""maxima"")","\int {\left(e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d)^(3/2), x)","F",0
481,0,0,0,0.000000," ","integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d}\,{d x}"," ",0,"integrate(sqrt(e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d), x)","F",0
482,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d}}\,{d x}"," ",0,"integrate(1/sqrt(e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d), x)","F",0
483,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d)^(-3/2), x)","F",0
484,0,0,0,0.000000," ","integrate(1/(d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + \sqrt{b x + \frac{e^{2} x^{2}}{f^{2}} + a} f + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x + sqrt(b*x + e^2*x^2/f^2 + a)*f + d)^(-5/2), x)","F",0
485,0,0,0,0.000000," ","integrate((x^2+a)^2*(x+(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x^{2} + a\right)}^{2} {\left(x + \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x^2 + a)^2*(x + sqrt(x^2 + a))^n, x)","F",0
486,0,0,0,0.000000," ","integrate((x^2+a)*(x+(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x^{2} + a\right)} {\left(x + \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x^2 + a)*(x + sqrt(x^2 + a))^n, x)","F",0
487,0,0,0,0.000000," ","integrate((x+(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x + \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + a))^n, x)","F",0
488,0,0,0,0.000000," ","integrate((x+(x^2+a)^(1/2))^n/(x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(x + \sqrt{x^{2} + a}\right)}^{n}}{x^{2} + a}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + a))^n/(x^2 + a), x)","F",0
489,0,0,0,0.000000," ","integrate((x+(x^2+a)^(1/2))^n/(x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(x + \sqrt{x^{2} + a}\right)}^{n}}{{\left(x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + a))^n/(x^2 + a)^2, x)","F",0
490,0,0,0,0.000000," ","integrate((x^2+a)^2*(x-(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x^{2} + a\right)}^{2} {\left(x - \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x^2 + a)^2*(x - sqrt(x^2 + a))^n, x)","F",0
491,0,0,0,0.000000," ","integrate((x^2+a)*(x-(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x^{2} + a\right)} {\left(x - \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x^2 + a)*(x - sqrt(x^2 + a))^n, x)","F",0
492,0,0,0,0.000000," ","integrate((x-(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x - \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x - sqrt(x^2 + a))^n, x)","F",0
493,0,0,0,0.000000," ","integrate((x-(x^2+a)^(1/2))^n/(x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(x - \sqrt{x^{2} + a}\right)}^{n}}{x^{2} + a}\,{d x}"," ",0,"integrate((x - sqrt(x^2 + a))^n/(x^2 + a), x)","F",0
494,0,0,0,0.000000," ","integrate((x-(x^2+a)^(1/2))^n/(x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(x - \sqrt{x^{2} + a}\right)}^{n}}{{\left(x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((x - sqrt(x^2 + a))^n/(x^2 + a)^2, x)","F",0
495,0,0,0,0.000000," ","integrate((x^2+a)^(5/2)*(x+(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x^{2} + a\right)}^{\frac{5}{2}} {\left(x + \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x^2 + a)^(5/2)*(x + sqrt(x^2 + a))^n, x)","F",0
496,0,0,0,0.000000," ","integrate((x^2+a)^(3/2)*(x+(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x^{2} + a\right)}^{\frac{3}{2}} {\left(x + \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x^2 + a)^(3/2)*(x + sqrt(x^2 + a))^n, x)","F",0
497,0,0,0,0.000000," ","integrate((x^2+a)^(1/2)*(x+(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int \sqrt{x^{2} + a} {\left(x + \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate(sqrt(x^2 + a)*(x + sqrt(x^2 + a))^n, x)","F",0
498,0,0,0,0.000000," ","integrate((x+(x^2+a)^(1/2))^n/(x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x + \sqrt{x^{2} + a}\right)}^{n}}{\sqrt{x^{2} + a}}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + a))^n/sqrt(x^2 + a), x)","F",0
499,0,0,0,0.000000," ","integrate((x+(x^2+a)^(1/2))^n/(x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(x + \sqrt{x^{2} + a}\right)}^{n}}{{\left(x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + a))^n/(x^2 + a)^(3/2), x)","F",0
500,0,0,0,0.000000," ","integrate((x+(x^2+a)^(1/2))^n/(x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(x + \sqrt{x^{2} + a}\right)}^{n}}{{\left(x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + a))^n/(x^2 + a)^(5/2), x)","F",0
501,0,0,0,0.000000," ","integrate((x^2+a)^(5/2)*(x-(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x^{2} + a\right)}^{\frac{5}{2}} {\left(x - \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x^2 + a)^(5/2)*(x - sqrt(x^2 + a))^n, x)","F",0
502,0,0,0,0.000000," ","integrate((x^2+a)^(3/2)*(x-(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(x^{2} + a\right)}^{\frac{3}{2}} {\left(x - \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate((x^2 + a)^(3/2)*(x - sqrt(x^2 + a))^n, x)","F",0
503,0,0,0,0.000000," ","integrate((x^2+a)^(1/2)*(x-(x^2+a)^(1/2))^n,x, algorithm=""maxima"")","\int \sqrt{x^{2} + a} {\left(x - \sqrt{x^{2} + a}\right)}^{n}\,{d x}"," ",0,"integrate(sqrt(x^2 + a)*(x - sqrt(x^2 + a))^n, x)","F",0
504,0,0,0,0.000000," ","integrate((x-(x^2+a)^(1/2))^n/(x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x - \sqrt{x^{2} + a}\right)}^{n}}{\sqrt{x^{2} + a}}\,{d x}"," ",0,"integrate((x - sqrt(x^2 + a))^n/sqrt(x^2 + a), x)","F",0
505,0,0,0,0.000000," ","integrate((x-(x^2+a)^(1/2))^n/(x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(x - \sqrt{x^{2} + a}\right)}^{n}}{{\left(x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x - sqrt(x^2 + a))^n/(x^2 + a)^(3/2), x)","F",0
506,0,0,0,0.000000," ","integrate((x-(x^2+a)^(1/2))^n/(x^2+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(x - \sqrt{x^{2} + a}\right)}^{n}}{{\left(x^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((x - sqrt(x^2 + a))^n/(x^2 + a)^(5/2), x)","F",0
507,0,0,0,0.000000," ","integrate((a+2*d*e*x/f^2+e^2*x^2/f^2)^2*(d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}\right)}^{2} {\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}\,{d x}"," ",0,"integrate((e^2*x^2/f^2 + a + 2*d*e*x/f^2)^2*(e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n, x)","F",0
508,0,0,0,0.000000," ","integrate((a+2*d*e*x/f^2+e^2*x^2/f^2)*(d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}\right)} {\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}\,{d x}"," ",0,"integrate((e^2*x^2/f^2 + a + 2*d*e*x/f^2)*(e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n, x)","F",0
509,0,0,0,0.000000," ","integrate((d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n, x)","F",0
510,0,0,0,0.000000," ","integrate((d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n/(a+2*d*e*x/f^2+e^2*x^2/f^2),x, algorithm=""maxima"")","\int \frac{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}}{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n/(e^2*x^2/f^2 + a + 2*d*e*x/f^2), x)","F",0
511,0,0,0,0.000000," ","integrate((d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n/(a+2*d*e*x/f^2+e^2*x^2/f^2)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}}{{\left(\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n/(e^2*x^2/f^2 + a + 2*d*e*x/f^2)^2, x)","F",0
512,0,0,0,0.000000," ","integrate((d+e*x+f*((a*f^2+e*x*(e*x+2*d))/f^2)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(e x + d + \sqrt{a f^{2} + {\left(e x + 2 \, d\right)} e x}\right)}^{n}\,{d x}"," ",0,"integrate((e*x + d + sqrt(a*f^2 + (e*x + 2*d)*e*x))^n, x)","F",0
513,0,0,0,0.000000," ","integrate((d+e*x+f*((a*f^2+e*x*(e*x+2*d))/f^2)^(1/2))^n/(a+2*d*e*x/f^2+e^2*x^2/f^2),x, algorithm=""maxima"")","\int \frac{{\left(e x + d + \sqrt{a f^{2} + {\left(e x + 2 \, d\right)} e x}\right)}^{n}}{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}}\,{d x}"," ",0,"integrate((e*x + d + sqrt(a*f^2 + (e*x + 2*d)*e*x))^n/(e^2*x^2/f^2 + a + 2*d*e*x/f^2), x)","F",0
514,0,0,0,0.000000," ","integrate((a+2*d*e*x/f^2+e^2*x^2/f^2)^(3/2)*(d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n,x, algorithm=""maxima"")","\int {\left(\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}\right)}^{\frac{3}{2}} {\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}\,{d x}"," ",0,"integrate((e^2*x^2/f^2 + a + 2*d*e*x/f^2)^(3/2)*(e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n, x)","F",0
515,0,0,0,0.000000," ","integrate((a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2)*(d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n,x, algorithm=""maxima"")","\int \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} {\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}\,{d x}"," ",0,"integrate(sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*(e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n, x)","F",0
516,0,0,0,0.000000," ","integrate((d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n/(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}}{\sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n/sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2), x)","F",0
517,0,0,0,0.000000," ","integrate((d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n/(a+2*d*e*x/f^2+e^2*x^2/f^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}}{{\left(\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n/(e^2*x^2/f^2 + a + 2*d*e*x/f^2)^(3/2), x)","F",0
518,0,0,0,0.000000," ","integrate((d+e*x+f*((a*f^2+e*x*(e*x+2*d))/f^2)^(1/2))^n/((a*f^2+e*x*(e*x+2*d))/f^2)^(1/2),x, algorithm=""maxima"")","f \int \frac{{\left(e x + d + \sqrt{a f^{2} + {\left(e x + 2 \, d\right)} e x}\right)}^{n}}{\sqrt{a f^{2} + {\left(e x + 2 \, d\right)} e x}}\,{d x}"," ",0,"f*integrate((e*x + d + sqrt(a*f^2 + (e*x + 2*d)*e*x))^n/sqrt(a*f^2 + (e*x + 2*d)*e*x), x)","F",0
519,0,0,0,0.000000," ","integrate((a*g+2*d*e*g*x/f^2+e^2*g*x^2/f^2)^(1/2)*(d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n,x, algorithm=""maxima"")","\int \sqrt{\frac{e^{2} g x^{2}}{f^{2}} + a g + \frac{2 \, d e g x}{f^{2}}} {\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}\,{d x}"," ",0,"integrate(sqrt(e^2*g*x^2/f^2 + a*g + 2*d*e*g*x/f^2)*(e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n, x)","F",0
520,0,0,0,0.000000," ","integrate((d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n/(a*g+2*d*e*g*x/f^2+e^2*g*x^2/f^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}}{\sqrt{\frac{e^{2} g x^{2}}{f^{2}} + a g + \frac{2 \, d e g x}{f^{2}}}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n/sqrt(e^2*g*x^2/f^2 + a*g + 2*d*e*g*x/f^2), x)","F",0
521,0,0,0,0.000000," ","integrate((d+e*x+f*(a+2*d*e*x/f^2+e^2*x^2/f^2)^(1/2))^n/(a*g+2*d*e*g*x/f^2+e^2*g*x^2/f^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x + \sqrt{\frac{e^{2} x^{2}}{f^{2}} + a + \frac{2 \, d e x}{f^{2}}} f + d\right)}^{n}}{{\left(\frac{e^{2} g x^{2}}{f^{2}} + a g + \frac{2 \, d e g x}{f^{2}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x + sqrt(e^2*x^2/f^2 + a + 2*d*e*x/f^2)*f + d)^n/(e^2*g*x^2/f^2 + a*g + 2*d*e*g*x/f^2)^(3/2), x)","F",0
522,0,0,0,0.000000," ","integrate((d+e*x+f*((a*f^2+e*x*(e*x+2*d))/f^2)^(1/2))^n/((a*f^2*g+e*g*x*(e*x+2*d))/f^2)^(1/2),x, algorithm=""maxima"")","f \int \frac{{\left(e x + d + \sqrt{a f^{2} + {\left(e x + 2 \, d\right)} e x}\right)}^{n}}{\sqrt{a f^{2} g + {\left(e x + 2 \, d\right)} e g x}}\,{d x}"," ",0,"f*integrate((e*x + d + sqrt(a*f^2 + (e*x + 2*d)*e*x))^n/sqrt(a*f^2*g + (e*x + 2*d)*e*g*x), x)","F",0
523,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x^2+c)^(1/2)/(f*x^2+e)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{2} + c} \sqrt{f x^{2} + e} {\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^2 + c)*sqrt(f*x^2 + e)*(b*x + a)), x)","F",0
524,0,0,0,0.000000," ","integrate((-2*f*x^2+e)/(4*f^2*x^4+4*d*f*x^2+4*e*f*x^2+e^2),x, algorithm=""maxima"")","-\int \frac{2 \, f x^{2} - e}{4 \, f^{2} x^{4} + 4 \, d f x^{2} + 4 \, e f x^{2} + e^{2}}\,{d x}"," ",0,"-integrate((2*f*x^2 - e)/(4*f^2*x^4 + 4*d*f*x^2 + 4*e*f*x^2 + e^2), x)","F",0
525,0,0,0,0.000000," ","integrate((-2*f*x^2+e)/(4*f^2*x^4-4*d*f*x^2+4*e*f*x^2+e^2),x, algorithm=""maxima"")","-\int \frac{2 \, f x^{2} - e}{4 \, f^{2} x^{4} - 4 \, d f x^{2} + 4 \, e f x^{2} + e^{2}}\,{d x}"," ",0,"-integrate((2*f*x^2 - e)/(4*f^2*x^4 - 4*d*f*x^2 + 4*e*f*x^2 + e^2), x)","F",0
526,0,0,0,0.000000," ","integrate((-4*f*x^3+e)/(4*f^2*x^6+4*e*f*x^3+4*d*f*x^2+e^2),x, algorithm=""maxima"")","-\int \frac{4 \, f x^{3} - e}{4 \, f^{2} x^{6} + 4 \, e f x^{3} + 4 \, d f x^{2} + e^{2}}\,{d x}"," ",0,"-integrate((4*f*x^3 - e)/(4*f^2*x^6 + 4*e*f*x^3 + 4*d*f*x^2 + e^2), x)","F",0
527,0,0,0,0.000000," ","integrate((-4*f*x^3+e)/(4*f^2*x^6+4*e*f*x^3-4*d*f*x^2+e^2),x, algorithm=""maxima"")","-\int \frac{4 \, f x^{3} - e}{4 \, f^{2} x^{6} + 4 \, e f x^{3} - 4 \, d f x^{2} + e^{2}}\,{d x}"," ",0,"-integrate((4*f*x^3 - e)/(4*f^2*x^6 + 4*e*f*x^3 - 4*d*f*x^2 + e^2), x)","F",0
528,0,0,0,0.000000," ","integrate((e-2*f*(-1+n)*x^n)/(e^2+4*d*f*x^2+4*e*f*x^n+4*f^2*x^(2*n)),x, algorithm=""maxima"")","-\int \frac{2 \, f {\left(n - 1\right)} x^{n} - e}{4 \, d f x^{2} + 4 \, f^{2} x^{2 \, n} + 4 \, e f x^{n} + e^{2}}\,{d x}"," ",0,"-integrate((2*f*(n - 1)*x^n - e)/(4*d*f*x^2 + 4*f^2*x^(2*n) + 4*e*f*x^n + e^2), x)","F",0
529,0,0,0,0.000000," ","integrate((e-2*f*(-1+n)*x^n)/(e^2-4*d*f*x^2+4*e*f*x^n+4*f^2*x^(2*n)),x, algorithm=""maxima"")","\int \frac{2 \, f {\left(n - 1\right)} x^{n} - e}{4 \, d f x^{2} - 4 \, f^{2} x^{2 \, n} - 4 \, e f x^{n} - e^{2}}\,{d x}"," ",0,"integrate((2*f*(n - 1)*x^n - e)/(4*d*f*x^2 - 4*f^2*x^(2*n) - 4*e*f*x^n - e^2), x)","F",0
530,1,36,0,2.171047," ","integrate(x/(4*d*f*x^4+4*f^2*x^4+4*e*f*x^2+e^2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{2 \, {\left(d f + f^{2}\right)} x^{2} + e f}{\sqrt{d f} e}\right)}{4 \, \sqrt{d f} e}"," ",0,"1/4*arctan((2*(d*f + f^2)*x^2 + e*f)/(sqrt(d*f)*e))/(sqrt(d*f)*e)","A",0
531,1,67,0,1.871500," ","integrate(x/(-4*d*f*x^4+4*f^2*x^4+4*e*f*x^2+e^2),x, algorithm=""maxima"")","\frac{\log\left(\frac{2 \, {\left(d f - f^{2}\right)} x^{2} - e f + \sqrt{d f} e}{2 \, {\left(d f - f^{2}\right)} x^{2} - e f - \sqrt{d f} e}\right)}{8 \, \sqrt{d f} e}"," ",0,"1/8*log((2*(d*f - f^2)*x^2 - e*f + sqrt(d*f)*e)/(2*(d*f - f^2)*x^2 - e*f - sqrt(d*f)*e))/(sqrt(d*f)*e)","A",0
532,0,0,0,0.000000," ","integrate(x^2*(2*f*x^2+3*e)/(4*d*f*x^6+4*f^2*x^4+4*e*f*x^2+e^2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, f x^{2} + 3 \, e\right)} x^{2}}{4 \, d f x^{6} + 4 \, f^{2} x^{4} + 4 \, e f x^{2} + e^{2}}\,{d x}"," ",0,"integrate((2*f*x^2 + 3*e)*x^2/(4*d*f*x^6 + 4*f^2*x^4 + 4*e*f*x^2 + e^2), x)","F",0
533,0,0,0,0.000000," ","integrate(x^2*(2*f*x^2+3*e)/(-4*d*f*x^6+4*f^2*x^4+4*e*f*x^2+e^2),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, f x^{2} + 3 \, e\right)} x^{2}}{4 \, d f x^{6} - 4 \, f^{2} x^{4} - 4 \, e f x^{2} - e^{2}}\,{d x}"," ",0,"-integrate((2*f*x^2 + 3*e)*x^2/(4*d*f*x^6 - 4*f^2*x^4 - 4*e*f*x^2 - e^2), x)","F",0
534,0,0,0,0.000000," ","integrate(x^m*(e*(1+m)+2*f*(-1+m)*x^2)/(e^2+4*e*f*x^2+4*f^2*x^4+4*d*f*x^(2+2*m)),x, algorithm=""maxima"")","\int \frac{{\left(2 \, f {\left(m - 1\right)} x^{2} + e {\left(m + 1\right)}\right)} x^{m}}{4 \, f^{2} x^{4} + 4 \, e f x^{2} + 4 \, d f x^{2 \, m + 2} + e^{2}}\,{d x}"," ",0,"integrate((2*f*(m - 1)*x^2 + e*(m + 1))*x^m/(4*f^2*x^4 + 4*e*f*x^2 + 4*d*f*x^(2*m + 2) + e^2), x)","F",0
535,0,0,0,0.000000," ","integrate(x^m*(e*(1+m)+2*f*(-1+m)*x^2)/(e^2+4*e*f*x^2+4*f^2*x^4-4*d*f*x^(2+2*m)),x, algorithm=""maxima"")","\int \frac{{\left(2 \, f {\left(m - 1\right)} x^{2} + e {\left(m + 1\right)}\right)} x^{m}}{4 \, f^{2} x^{4} + 4 \, e f x^{2} - 4 \, d f x^{2 \, m + 2} + e^{2}}\,{d x}"," ",0,"integrate((2*f*(m - 1)*x^2 + e*(m + 1))*x^m/(4*f^2*x^4 + 4*e*f*x^2 - 4*d*f*x^(2*m + 2) + e^2), x)","F",0
536,0,0,0,0.000000," ","integrate(x*(-2*f*x^3+2*e)/(4*f^2*x^6+4*d*f*x^4+4*e*f*x^3+e^2),x, algorithm=""maxima"")","-2 \, \int \frac{{\left(f x^{3} - e\right)} x}{4 \, f^{2} x^{6} + 4 \, d f x^{4} + 4 \, e f x^{3} + e^{2}}\,{d x}"," ",0,"-2*integrate((f*x^3 - e)*x/(4*f^2*x^6 + 4*d*f*x^4 + 4*e*f*x^3 + e^2), x)","F",0
537,0,0,0,0.000000," ","integrate(x*(-2*f*x^3+2*e)/(4*f^2*x^6-4*d*f*x^4+4*e*f*x^3+e^2),x, algorithm=""maxima"")","-2 \, \int \frac{{\left(f x^{3} - e\right)} x}{4 \, f^{2} x^{6} - 4 \, d f x^{4} + 4 \, e f x^{3} + e^{2}}\,{d x}"," ",0,"-2*integrate((f*x^3 - e)*x/(4*f^2*x^6 - 4*d*f*x^4 + 4*e*f*x^3 + e^2), x)","F",0
538,1,36,0,1.421432," ","integrate(x^2/(4*d*f*x^6+4*f^2*x^6+4*e*f*x^3+e^2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{2 \, {\left(d f + f^{2}\right)} x^{3} + e f}{\sqrt{d f} e}\right)}{6 \, \sqrt{d f} e}"," ",0,"1/6*arctan((2*(d*f + f^2)*x^3 + e*f)/(sqrt(d*f)*e))/(sqrt(d*f)*e)","A",0
539,1,67,0,1.537337," ","integrate(x^2/(-4*d*f*x^6+4*f^2*x^6+4*e*f*x^3+e^2),x, algorithm=""maxima"")","\frac{\log\left(\frac{2 \, {\left(d f - f^{2}\right)} x^{3} - e f + \sqrt{d f} e}{2 \, {\left(d f - f^{2}\right)} x^{3} - e f - \sqrt{d f} e}\right)}{12 \, \sqrt{d f} e}"," ",0,"1/12*log((2*(d*f - f^2)*x^3 - e*f + sqrt(d*f)*e)/(2*(d*f - f^2)*x^3 - e*f - sqrt(d*f)*e))/(sqrt(d*f)*e)","A",0
540,0,0,0,0.000000," ","integrate(x^m*(e*(1+m)+2*f*(-2+m)*x^3)/(e^2+4*e*f*x^3+4*f^2*x^6+4*d*f*x^(2+2*m)),x, algorithm=""maxima"")","\int \frac{{\left(2 \, f {\left(m - 2\right)} x^{3} + e {\left(m + 1\right)}\right)} x^{m}}{4 \, f^{2} x^{6} + 4 \, e f x^{3} + 4 \, d f x^{2 \, m + 2} + e^{2}}\,{d x}"," ",0,"integrate((2*f*(m - 2)*x^3 + e*(m + 1))*x^m/(4*f^2*x^6 + 4*e*f*x^3 + 4*d*f*x^(2*m + 2) + e^2), x)","F",0
541,0,0,0,0.000000," ","integrate(x^m*(e*(1+m)+2*f*(-2+m)*x^3)/(e^2+4*e*f*x^3+4*f^2*x^6-4*d*f*x^(2+2*m)),x, algorithm=""maxima"")","\int \frac{{\left(2 \, f {\left(m - 2\right)} x^{3} + e {\left(m + 1\right)}\right)} x^{m}}{4 \, f^{2} x^{6} + 4 \, e f x^{3} - 4 \, d f x^{2 \, m + 2} + e^{2}}\,{d x}"," ",0,"integrate((2*f*(m - 2)*x^3 + e*(m + 1))*x^m/(4*f^2*x^6 + 4*e*f*x^3 - 4*d*f*x^(2*m + 2) + e^2), x)","F",0
542,0,0,0,0.000000," ","integrate(x^m*(e*(1+m)+2*f*(1+m-n)*x^n)/(e^2+4*d*f*x^(2+2*m)+4*e*f*x^n+4*f^2*x^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(2 \, f {\left(m - n + 1\right)} x^{n} + e {\left(m + 1\right)}\right)} x^{m}}{4 \, d f x^{2 \, m + 2} + 4 \, f^{2} x^{2 \, n} + 4 \, e f x^{n} + e^{2}}\,{d x}"," ",0,"integrate((2*f*(m - n + 1)*x^n + e*(m + 1))*x^m/(4*d*f*x^(2*m + 2) + 4*f^2*x^(2*n) + 4*e*f*x^n + e^2), x)","F",0
543,0,0,0,0.000000," ","integrate(x^m*(e*(1+m)+2*f*(1+m-n)*x^n)/(e^2-4*d*f*x^(2+2*m)+4*e*f*x^n+4*f^2*x^(2*n)),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, f {\left(m - n + 1\right)} x^{n} + e {\left(m + 1\right)}\right)} x^{m}}{4 \, d f x^{2 \, m + 2} - 4 \, f^{2} x^{2 \, n} - 4 \, e f x^{n} - e^{2}}\,{d x}"," ",0,"-integrate((2*f*(m - n + 1)*x^n + e*(m + 1))*x^m/(4*d*f*x^(2*m + 2) - 4*f^2*x^(2*n) - 4*e*f*x^n - e^2), x)","F",0
544,1,125,0,0.651570," ","integrate(x^5/(a*c+b*c*x^2+d*(b*x^2+a)^(1/2)),x, algorithm=""maxima"")","\frac{\frac{3 \, {\left(b x^{2} + a\right)}^{2} c^{3} - 4 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} c^{2} d - 6 \, {\left(2 \, a c^{3} - c d^{2}\right)} {\left(b x^{2} + a\right)} + 12 \, {\left(2 \, a c^{2} d - d^{3}\right)} \sqrt{b x^{2} + a}}{c^{4}} + \frac{12 \, {\left(a^{2} c^{4} - 2 \, a c^{2} d^{2} + d^{4}\right)} \log\left(\sqrt{b x^{2} + a} c + d\right)}{c^{5}}}{12 \, b^{3}}"," ",0,"1/12*((3*(b*x^2 + a)^2*c^3 - 4*(b*x^2 + a)^(3/2)*c^2*d - 6*(2*a*c^3 - c*d^2)*(b*x^2 + a) + 12*(2*a*c^2*d - d^3)*sqrt(b*x^2 + a))/c^4 + 12*(a^2*c^4 - 2*a*c^2*d^2 + d^4)*log(sqrt(b*x^2 + a)*c + d)/c^5)/b^3","A",0
545,1,62,0,0.685554," ","integrate(x^3/(a*c+b*c*x^2+d*(b*x^2+a)^(1/2)),x, algorithm=""maxima"")","\frac{\frac{{\left(b x^{2} + a\right)} c - 2 \, \sqrt{b x^{2} + a} d}{c^{2}} - \frac{2 \, {\left(a c^{2} - d^{2}\right)} \log\left(\sqrt{b x^{2} + a} c + d\right)}{c^{3}}}{2 \, b^{2}}"," ",0,"1/2*(((b*x^2 + a)*c - 2*sqrt(b*x^2 + a)*d)/c^2 - 2*(a*c^2 - d^2)*log(sqrt(b*x^2 + a)*c + d)/c^3)/b^2","A",0
546,1,21,0,0.706787," ","integrate(x/(a*c+b*c*x^2+d*(b*x^2+a)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{b x^{2} + a} c + d\right)}{b c}"," ",0,"log(sqrt(b*x^2 + a)*c + d)/(b*c)","A",0
547,0,0,0,0.000000," ","integrate(1/x/(a*c+b*c*x^2+d*(b*x^2+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b c x^{2} + a c + \sqrt{b x^{2} + a} d\right)} x}\,{d x}"," ",0,"integrate(1/((b*c*x^2 + a*c + sqrt(b*x^2 + a)*d)*x), x)","F",0
548,0,0,0,0.000000," ","integrate(1/x^3/(a*c+b*c*x^2+d*(b*x^2+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b c x^{2} + a c + \sqrt{b x^{2} + a} d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*c*x^2 + a*c + sqrt(b*x^2 + a)*d)*x^3), x)","F",0
549,0,0,0,0.000000," ","integrate(x^2/(a*c+b*c*x^2+d*(b*x^2+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{2}}{b c x^{2} + a c + \sqrt{b x^{2} + a} d}\,{d x}"," ",0,"integrate(x^2/(b*c*x^2 + a*c + sqrt(b*x^2 + a)*d), x)","F",0
550,0,0,0,0.000000," ","integrate(1/(a*c+b*c*x^2+d*(b*x^2+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{b c x^{2} + a c + \sqrt{b x^{2} + a} d}\,{d x}"," ",0,"integrate(1/(b*c*x^2 + a*c + sqrt(b*x^2 + a)*d), x)","F",0
551,0,0,0,0.000000," ","integrate(1/x^2/(a*c+b*c*x^2+d*(b*x^2+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b c x^{2} + a c + \sqrt{b x^{2} + a} d\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*c*x^2 + a*c + sqrt(b*x^2 + a)*d)*x^2), x)","F",0
552,1,125,0,0.782457," ","integrate(x^8/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\frac{\frac{3 \, {\left(b x^{3} + a\right)}^{2} c^{3} - 4 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} c^{2} d - 6 \, {\left(2 \, a c^{3} - c d^{2}\right)} {\left(b x^{3} + a\right)} + 12 \, {\left(2 \, a c^{2} d - d^{3}\right)} \sqrt{b x^{3} + a}}{c^{4}} + \frac{12 \, {\left(a^{2} c^{4} - 2 \, a c^{2} d^{2} + d^{4}\right)} \log\left(\sqrt{b x^{3} + a} c + d\right)}{c^{5}}}{18 \, b^{3}}"," ",0,"1/18*((3*(b*x^3 + a)^2*c^3 - 4*(b*x^3 + a)^(3/2)*c^2*d - 6*(2*a*c^3 - c*d^2)*(b*x^3 + a) + 12*(2*a*c^2*d - d^3)*sqrt(b*x^3 + a))/c^4 + 12*(a^2*c^4 - 2*a*c^2*d^2 + d^4)*log(sqrt(b*x^3 + a)*c + d)/c^5)/b^3","A",0
553,1,62,0,0.581713," ","integrate(x^5/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\frac{\frac{{\left(b x^{3} + a\right)} c - 2 \, \sqrt{b x^{3} + a} d}{c^{2}} - \frac{2 \, {\left(a c^{2} - d^{2}\right)} \log\left(\sqrt{b x^{3} + a} c + d\right)}{c^{3}}}{3 \, b^{2}}"," ",0,"1/3*(((b*x^3 + a)*c - 2*sqrt(b*x^3 + a)*d)/c^2 - 2*(a*c^2 - d^2)*log(sqrt(b*x^3 + a)*c + d)/c^3)/b^2","A",0
554,1,22,0,0.558856," ","integrate(x^2/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\frac{2 \, \log\left(\sqrt{b x^{3} + a} c + d\right)}{3 \, b c}"," ",0,"2/3*log(sqrt(b*x^3 + a)*c + d)/(b*c)","A",0
555,0,0,0,0.000000," ","integrate(1/x/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b c x^{3} + a c + \sqrt{b x^{3} + a} d\right)} x}\,{d x}"," ",0,"integrate(1/((b*c*x^3 + a*c + sqrt(b*x^3 + a)*d)*x), x)","F",0
556,0,0,0,0.000000," ","integrate(1/x^4/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b c x^{3} + a c + \sqrt{b x^{3} + a} d\right)} x^{4}}\,{d x}"," ",0,"integrate(1/((b*c*x^3 + a*c + sqrt(b*x^3 + a)*d)*x^4), x)","F",0
557,0,0,0,0.000000," ","integrate(x^3/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{3}}{b c x^{3} + a c + \sqrt{b x^{3} + a} d}\,{d x}"," ",0,"integrate(x^3/(b*c*x^3 + a*c + sqrt(b*x^3 + a)*d), x)","F",0
558,0,0,0,0.000000," ","integrate(x/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{b c x^{3} + a c + \sqrt{b x^{3} + a} d}\,{d x}"," ",0,"integrate(x/(b*c*x^3 + a*c + sqrt(b*x^3 + a)*d), x)","F",0
559,0,0,0,0.000000," ","integrate(1/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{b c x^{3} + a c + \sqrt{b x^{3} + a} d}\,{d x}"," ",0,"integrate(1/(b*c*x^3 + a*c + sqrt(b*x^3 + a)*d), x)","F",0
560,0,0,0,0.000000," ","integrate(1/x^2/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b c x^{3} + a c + \sqrt{b x^{3} + a} d\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*c*x^3 + a*c + sqrt(b*x^3 + a)*d)*x^2), x)","F",0
561,0,0,0,0.000000," ","integrate(1/x^3/(a*c+b*c*x^3+d*(b*x^3+a)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b c x^{3} + a c + \sqrt{b x^{3} + a} d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*c*x^3 + a*c + sqrt(b*x^3 + a)*d)*x^3), x)","F",0
562,0,0,0,0.000000," ","integrate(1/(a*c+b*c*x^n+d*(a+b*x^n)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{b c x^{n} + a c + \sqrt{b x^{n} + a} d}\,{d x}"," ",0,"integrate(1/(b*c*x^n + a*c + sqrt(b*x^n + a)*d), x)","F",0
563,0,0,0,0.000000," ","integrate(x^m/(a*c+b*c*x^n+d*(a+b*x^n)^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{m}}{b c x^{n} + a c + \sqrt{b x^{n} + a} d}\,{d x}"," ",0,"integrate(x^m/(b*c*x^n + a*c + sqrt(b*x^n + a)*d), x)","F",0
564,1,61,0,0.645690," ","integrate(x^(-1+n)/(a*c+b*c*x^n+d*(a+b*x^n)^(1/2)),x, algorithm=""maxima"")","-\frac{\log\left(\frac{b x^{n} + a}{b}\right)}{b c n} + \frac{2 \, \log\left(\frac{b c x^{n} + a c + \sqrt{b x^{n} + a} d}{d}\right)}{b c n}"," ",0,"-log((b*x^n + a)/b)/(b*c*n) + 2*log((b*c*x^n + a*c + sqrt(b*x^n + a)*d)/d)/(b*c*n)","B",0
565,1,6,0,1.281713," ","integrate(1/(4*x^(3/2)+x^(1/2)),x, algorithm=""maxima"")","\arctan\left(2 \, \sqrt{x}\right)"," ",0,"arctan(2*sqrt(x))","A",0
566,1,21,0,1.407810," ","integrate(1/(-x^(5/2)+x^(1/2)),x, algorithm=""maxima"")","\arctan\left(\sqrt{x}\right) + \frac{1}{2} \, \log\left(\sqrt{x} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{x} - 1\right)"," ",0,"arctan(sqrt(x)) + 1/2*log(sqrt(x) + 1) - 1/2*log(sqrt(x) - 1)","B",0
567,1,19,0,0.647242," ","integrate(1/(-x^(1/4)+x^(1/2)),x, algorithm=""maxima"")","2 \, \sqrt{x} + 4 \, x^{\frac{1}{4}} + 4 \, \log\left(x^{\frac{1}{4}} - 1\right)"," ",0,"2*sqrt(x) + 4*x^(1/4) + 4*log(x^(1/4) - 1)","A",0
568,1,24,0,0.699002," ","integrate(1/(x^(1/3)+x^(1/2)),x, algorithm=""maxima"")","2 \, \sqrt{x} - 3 \, x^{\frac{1}{3}} + 6 \, x^{\frac{1}{6}} - 6 \, \log\left(x^{\frac{1}{6}} + 1\right)"," ",0,"2*sqrt(x) - 3*x^(1/3) + 6*x^(1/6) - 6*log(x^(1/6) + 1)","A",0
569,1,19,0,0.694968," ","integrate(1/(x^(1/4)+x^(1/2)),x, algorithm=""maxima"")","2 \, \sqrt{x} - 4 \, x^{\frac{1}{4}} + 4 \, \log\left(x^{\frac{1}{4}} + 1\right)"," ",0,"2*sqrt(x) - 4*x^(1/4) + 4*log(x^(1/4) + 1)","A",0
570,1,14,0,0.699391," ","integrate(1/(-x^(1/3)+x^(2/3)),x, algorithm=""maxima"")","3 \, x^{\frac{1}{3}} + 3 \, \log\left(x^{\frac{1}{3}} - 1\right)"," ",0,"3*x^(1/3) + 3*log(x^(1/3) - 1)","A",0
571,1,45,0,1.533213," ","integrate(1/(1/x^(1/4)+x^(1/2)),x, algorithm=""maxima"")","-\frac{4}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{\frac{1}{4}} - 1\right)}\right) + 2 \, \sqrt{x} - \frac{2}{3} \, \log\left(\sqrt{x} - x^{\frac{1}{4}} + 1\right) + \frac{4}{3} \, \log\left(x^{\frac{1}{4}} + 1\right)"," ",0,"-4/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/4) - 1)) + 2*sqrt(x) - 2/3*log(sqrt(x) - x^(1/4) + 1) + 4/3*log(x^(1/4) + 1)","A",0
572,1,49,0,0.703356," ","integrate(1/(x^(1/4)+x^(1/3)),x, algorithm=""maxima"")","\frac{3}{2} \, x^{\frac{2}{3}} - \frac{12}{7} \, x^{\frac{7}{12}} + 2 \, \sqrt{x} - \frac{12}{5} \, x^{\frac{5}{12}} + 3 \, x^{\frac{1}{3}} - 4 \, x^{\frac{1}{4}} + 6 \, x^{\frac{1}{6}} - 12 \, x^{\frac{1}{12}} + 12 \, \log\left(x^{\frac{1}{12}} + 1\right)"," ",0,"3/2*x^(2/3) - 12/7*x^(7/12) + 2*sqrt(x) - 12/5*x^(5/12) + 3*x^(1/3) - 4*x^(1/4) + 6*x^(1/6) - 12*x^(1/12) + 12*log(x^(1/12) + 1)","A",0
573,1,82,0,0.733974," ","integrate(1/(1/x^(1/3)+1/x^(1/4)),x, algorithm=""maxima"")","\frac{4}{5} \, x^{\frac{5}{4}} - \frac{6}{7} \, x^{\frac{7}{6}} + \frac{12}{13} \, x^{\frac{13}{12}} - x + \frac{12}{11} \, x^{\frac{11}{12}} - \frac{6}{5} \, x^{\frac{5}{6}} + \frac{4}{3} \, x^{\frac{3}{4}} - \frac{3}{2} \, x^{\frac{2}{3}} + \frac{12}{7} \, x^{\frac{7}{12}} - 2 \, \sqrt{x} + \frac{12}{5} \, x^{\frac{5}{12}} - 3 \, x^{\frac{1}{3}} + 4 \, x^{\frac{1}{4}} - 6 \, x^{\frac{1}{6}} + 12 \, x^{\frac{1}{12}} - 12 \, \log\left(x^{\frac{1}{12}} + 1\right)"," ",0,"4/5*x^(5/4) - 6/7*x^(7/6) + 12/13*x^(13/12) - x + 12/11*x^(11/12) - 6/5*x^(5/6) + 4/3*x^(3/4) - 3/2*x^(2/3) + 12/7*x^(7/12) - 2*sqrt(x) + 12/5*x^(5/12) - 3*x^(1/3) + 4*x^(1/4) - 6*x^(1/6) + 12*x^(1/12) - 12*log(x^(1/12) + 1)","A",0
574,1,272,0,1.390444," ","integrate(1/(-1/x^(1/3)+x^(1/2)),x, algorithm=""maxima"")","-\frac{6}{5} \, \left(-1\right)^{\frac{3}{5}} \log\left(\left(-1\right)^{\frac{1}{5}} + x^{\frac{1}{6}}\right) - \frac{6 \, \sqrt{5} \left(-1\right)^{\frac{3}{5}} \log\left(\frac{\sqrt{5} \left(-1\right)^{\frac{1}{5}} + \left(-1\right)^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} - 10} + \left(-1\right)^{\frac{1}{5}} - 4 \, x^{\frac{1}{6}}}{\sqrt{5} \left(-1\right)^{\frac{1}{5}} - \left(-1\right)^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} - 10} + \left(-1\right)^{\frac{1}{5}} - 4 \, x^{\frac{1}{6}}}\right)}{5 \, \sqrt{2 \, \sqrt{5} - 10}} + \frac{6 \, \sqrt{5} \left(-1\right)^{\frac{3}{5}} \log\left(\frac{\sqrt{5} \left(-1\right)^{\frac{1}{5}} - \left(-1\right)^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} - 10} - \left(-1\right)^{\frac{1}{5}} + 4 \, x^{\frac{1}{6}}}{\sqrt{5} \left(-1\right)^{\frac{1}{5}} + \left(-1\right)^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} - 10} - \left(-1\right)^{\frac{1}{5}} + 4 \, x^{\frac{1}{6}}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} - 10}} + 2 \, \sqrt{x} + \frac{6 \, \log\left(-x^{\frac{1}{6}} {\left(\sqrt{5} \left(-1\right)^{\frac{1}{5}} + \left(-1\right)^{\frac{1}{5}}\right)} + 2 \, \left(-1\right)^{\frac{2}{5}} + 2 \, x^{\frac{1}{3}}\right)}{5 \, {\left(\sqrt{5} \left(-1\right)^{\frac{2}{5}} + \left(-1\right)^{\frac{2}{5}}\right)}} - \frac{6 \, \log\left(x^{\frac{1}{6}} {\left(\sqrt{5} \left(-1\right)^{\frac{1}{5}} - \left(-1\right)^{\frac{1}{5}}\right)} + 2 \, \left(-1\right)^{\frac{2}{5}} + 2 \, x^{\frac{1}{3}}\right)}{5 \, {\left(\sqrt{5} \left(-1\right)^{\frac{2}{5}} - \left(-1\right)^{\frac{2}{5}}\right)}}"," ",0,"-6/5*(-1)^(3/5)*log((-1)^(1/5) + x^(1/6)) - 6/5*sqrt(5)*(-1)^(3/5)*log((sqrt(5)*(-1)^(1/5) + (-1)^(1/5)*sqrt(2*sqrt(5) - 10) + (-1)^(1/5) - 4*x^(1/6))/(sqrt(5)*(-1)^(1/5) - (-1)^(1/5)*sqrt(2*sqrt(5) - 10) + (-1)^(1/5) - 4*x^(1/6)))/sqrt(2*sqrt(5) - 10) + 6/5*sqrt(5)*(-1)^(3/5)*log((sqrt(5)*(-1)^(1/5) - (-1)^(1/5)*sqrt(-2*sqrt(5) - 10) - (-1)^(1/5) + 4*x^(1/6))/(sqrt(5)*(-1)^(1/5) + (-1)^(1/5)*sqrt(-2*sqrt(5) - 10) - (-1)^(1/5) + 4*x^(1/6)))/sqrt(-2*sqrt(5) - 10) + 2*sqrt(x) + 6/5*log(-x^(1/6)*(sqrt(5)*(-1)^(1/5) + (-1)^(1/5)) + 2*(-1)^(2/5) + 2*x^(1/3))/(sqrt(5)*(-1)^(2/5) + (-1)^(2/5)) - 6/5*log(x^(1/6)*(sqrt(5)*(-1)^(1/5) - (-1)^(1/5)) + 2*(-1)^(2/5) + 2*x^(1/3))/(sqrt(5)*(-1)^(2/5) - (-1)^(2/5))","B",0
575,1,6,0,1.996864," ","integrate(x^(1/2)/(x^2+x),x, algorithm=""maxima"")","2 \, \arctan\left(\sqrt{x}\right)"," ",0,"2*arctan(sqrt(x))","A",0
576,1,15,0,0.869360," ","integrate(x/(x+4*x^(1/2)),x, algorithm=""maxima"")","x - 8 \, \sqrt{x} + 32 \, \log\left(\sqrt{x} + 4\right)"," ",0,"x - 8*sqrt(x) + 32*log(sqrt(x) + 4)","A",0
577,1,83,0,1.956230," ","integrate(x^(1/2)/(x^(1/3)+x),x, algorithm=""maxima"")","-\frac{3}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, x^{\frac{1}{6}}\right)}\right) - \frac{3}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, x^{\frac{1}{6}}\right)}\right) + \frac{3}{4} \, \sqrt{2} \log\left(\sqrt{2} x^{\frac{1}{6}} + x^{\frac{1}{3}} + 1\right) - \frac{3}{4} \, \sqrt{2} \log\left(-\sqrt{2} x^{\frac{1}{6}} + x^{\frac{1}{3}} + 1\right) + 2 \, \sqrt{x}"," ",0,"-3/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*x^(1/6))) - 3/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*x^(1/6))) + 3/4*sqrt(2)*log(sqrt(2)*x^(1/6) + x^(1/3) + 1) - 3/4*sqrt(2)*log(-sqrt(2)*x^(1/6) + x^(1/3) + 1) + 2*sqrt(x)","A",0
578,1,60,0,1.357200," ","integrate(x^(1/3)/(x^(1/4)+x^(1/2)),x, algorithm=""maxima"")","4 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{\frac{1}{12}} - 1\right)}\right) + \frac{6}{5} \, x^{\frac{5}{6}} - \frac{12}{7} \, x^{\frac{7}{12}} + 3 \, x^{\frac{1}{3}} - 12 \, x^{\frac{1}{12}} - 2 \, \log\left(x^{\frac{1}{6}} - x^{\frac{1}{12}} + 1\right) + 4 \, \log\left(x^{\frac{1}{12}} + 1\right)"," ",0,"4*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/12) - 1)) + 6/5*x^(5/6) - 12/7*x^(7/12) + 3*x^(1/3) - 12*x^(1/12) - 2*log(x^(1/6) - x^(1/12) + 1) + 4*log(x^(1/12) + 1)","A",0
579,1,75,0,0.526533," ","integrate(x^(1/2)/(x^(1/4)+x^(1/3)),x, algorithm=""maxima"")","\frac{6}{7} \, x^{\frac{7}{6}} - \frac{12}{13} \, x^{\frac{13}{12}} + x - \frac{12}{11} \, x^{\frac{11}{12}} + \frac{6}{5} \, x^{\frac{5}{6}} - \frac{4}{3} \, x^{\frac{3}{4}} + \frac{3}{2} \, x^{\frac{2}{3}} - \frac{12}{7} \, x^{\frac{7}{12}} + 2 \, \sqrt{x} - \frac{12}{5} \, x^{\frac{5}{12}} + 3 \, x^{\frac{1}{3}} - 4 \, x^{\frac{1}{4}} + 6 \, x^{\frac{1}{6}} - 12 \, x^{\frac{1}{12}} + 12 \, \log\left(x^{\frac{1}{12}} + 1\right)"," ",0,"6/7*x^(7/6) - 12/13*x^(13/12) + x - 12/11*x^(11/12) + 6/5*x^(5/6) - 4/3*x^(3/4) + 3/2*x^(2/3) - 12/7*x^(7/12) + 2*sqrt(x) - 12/5*x^(5/12) + 3*x^(1/3) - 4*x^(1/4) + 6*x^(1/6) - 12*x^(1/12) + 12*log(x^(1/12) + 1)","A",0
580,1,293,0,1.519042," ","integrate(x^(1/2)/(-1/x^(1/3)+x^(1/2)),x, algorithm=""maxima"")","-\frac{3 \, \sqrt{5} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - 1\right)} \log\left(\frac{\sqrt{5} \left(-1\right)^{\frac{1}{5}} + \left(-1\right)^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} - 10} + \left(-1\right)^{\frac{1}{5}} - 4 \, x^{\frac{1}{6}}}{\sqrt{5} \left(-1\right)^{\frac{1}{5}} - \left(-1\right)^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} - 10} + \left(-1\right)^{\frac{1}{5}} - 4 \, x^{\frac{1}{6}}}\right)}{5 \, \sqrt{2 \, \sqrt{5} - 10}} - \frac{3 \, \sqrt{5} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} + 1\right)} \log\left(\frac{\sqrt{5} \left(-1\right)^{\frac{1}{5}} - \left(-1\right)^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} - 10} - \left(-1\right)^{\frac{1}{5}} + 4 \, x^{\frac{1}{6}}}{\sqrt{5} \left(-1\right)^{\frac{1}{5}} + \left(-1\right)^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} - 10} - \left(-1\right)^{\frac{1}{5}} + 4 \, x^{\frac{1}{6}}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} - 10}} - \frac{6}{5} \, \left(-1\right)^{\frac{1}{5}} \log\left(\left(-1\right)^{\frac{1}{5}} + x^{\frac{1}{6}}\right) + x - \frac{3 \, {\left(\sqrt{5} + 3\right)} \log\left(-x^{\frac{1}{6}} {\left(\sqrt{5} \left(-1\right)^{\frac{1}{5}} + \left(-1\right)^{\frac{1}{5}}\right)} + 2 \, \left(-1\right)^{\frac{2}{5}} + 2 \, x^{\frac{1}{3}}\right)}{5 \, {\left(\sqrt{5} \left(-1\right)^{\frac{4}{5}} + \left(-1\right)^{\frac{4}{5}}\right)}} - \frac{3 \, {\left(\sqrt{5} - 3\right)} \log\left(x^{\frac{1}{6}} {\left(\sqrt{5} \left(-1\right)^{\frac{1}{5}} - \left(-1\right)^{\frac{1}{5}}\right)} + 2 \, \left(-1\right)^{\frac{2}{5}} + 2 \, x^{\frac{1}{3}}\right)}{5 \, {\left(\sqrt{5} \left(-1\right)^{\frac{4}{5}} - \left(-1\right)^{\frac{4}{5}}\right)}} + 6 \, x^{\frac{1}{6}}"," ",0,"-3/5*sqrt(5)*(-1)^(1/5)*(sqrt(5) - 1)*log((sqrt(5)*(-1)^(1/5) + (-1)^(1/5)*sqrt(2*sqrt(5) - 10) + (-1)^(1/5) - 4*x^(1/6))/(sqrt(5)*(-1)^(1/5) - (-1)^(1/5)*sqrt(2*sqrt(5) - 10) + (-1)^(1/5) - 4*x^(1/6)))/sqrt(2*sqrt(5) - 10) - 3/5*sqrt(5)*(-1)^(1/5)*(sqrt(5) + 1)*log((sqrt(5)*(-1)^(1/5) - (-1)^(1/5)*sqrt(-2*sqrt(5) - 10) - (-1)^(1/5) + 4*x^(1/6))/(sqrt(5)*(-1)^(1/5) + (-1)^(1/5)*sqrt(-2*sqrt(5) - 10) - (-1)^(1/5) + 4*x^(1/6)))/sqrt(-2*sqrt(5) - 10) - 6/5*(-1)^(1/5)*log((-1)^(1/5) + x^(1/6)) + x - 3/5*(sqrt(5) + 3)*log(-x^(1/6)*(sqrt(5)*(-1)^(1/5) + (-1)^(1/5)) + 2*(-1)^(2/5) + 2*x^(1/3))/(sqrt(5)*(-1)^(4/5) + (-1)^(4/5)) - 3/5*(sqrt(5) - 3)*log(x^(1/6)*(sqrt(5)*(-1)^(1/5) - (-1)^(1/5)) + 2*(-1)^(2/5) + 2*x^(1/3))/(sqrt(5)*(-1)^(4/5) - (-1)^(4/5)) + 6*x^(1/6)","B",0
581,1,15,0,0.705510," ","integrate(x^m*(b-a/x)^(1/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{x} x^{m}}{2 i \, m + i}"," ",0,"2*sqrt(x)*x^m/(2*I*m + I)","C",0
582,1,5,0,0.813601," ","integrate(x^2*(b-a/x)^(1/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{2}{5} i \, x^{\frac{5}{2}}"," ",0,"-2/5*I*x^(5/2)","C",0
583,1,5,0,0.733947," ","integrate(x*(b-a/x)^(1/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{2}{3} i \, x^{\frac{3}{2}}"," ",0,"-2/3*I*x^(3/2)","C",0
584,1,5,0,0.669712," ","integrate((b-a/x)^(1/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","-2 i \, \sqrt{x}"," ",0,"-2*I*sqrt(x)","C",0
585,1,5,0,0.857770," ","integrate((b-a/x)^(1/2)/x/(-b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 i}{\sqrt{x}}"," ",0,"2*I/sqrt(x)","C",0
586,1,5,0,0.836189," ","integrate((b-a/x)^(1/2)/x^2/(-b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 i}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*I/x^(3/2)","C",0
587,0,0,0,0.000000," ","integrate((a+b/x)^m*(d*x+c)^n,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{n} {\left(a + \frac{b}{x}\right)}^{m}\,{d x}"," ",0,"integrate((d*x + c)^n*(a + b/x)^m, x)","F",0
588,0,0,0,0.000000," ","integrate((a+b/x)^m*(d*x+c)^2,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{2} {\left(a + \frac{b}{x}\right)}^{m}\,{d x}"," ",0,"integrate((d*x + c)^2*(a + b/x)^m, x)","F",0
589,0,0,0,0.000000," ","integrate((a+b/x)^m*(d*x+c),x, algorithm=""maxima"")","\int {\left(d x + c\right)} {\left(a + \frac{b}{x}\right)}^{m}\,{d x}"," ",0,"integrate((d*x + c)*(a + b/x)^m, x)","F",0
590,0,0,0,0.000000," ","integrate((a+b/x)^m,x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x}\right)}^{m}\,{d x}"," ",0,"integrate((a + b/x)^m, x)","F",0
591,0,0,0,0.000000," ","integrate((a+b/x)^m/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{m}}{d x + c}\,{d x}"," ",0,"integrate((a + b/x)^m/(d*x + c), x)","F",0
592,0,0,0,0.000000," ","integrate((a+b/x)^m/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{m}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((a + b/x)^m/(d*x + c)^2, x)","F",0
593,0,0,0,0.000000," ","integrate((a+b/x)^m/(d*x+c)^3,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{m}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate((a + b/x)^m/(d*x + c)^3, x)","F",0
594,0,0,0,0.000000," ","integrate((a+b/x)^m/(d*x+c)^4,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{m}}{{\left(d x + c\right)}^{4}}\,{d x}"," ",0,"integrate((a + b/x)^m/(d*x + c)^4, x)","F",0
595,1,8,0,1.067633," ","integrate(x^m*(b-a/x^2)^(1/2)/(-b*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{i \, x^{m}}{m}"," ",0,"-I*x^m/m","C",0
596,1,5,0,1.018636," ","integrate(x^2*(b-a/x^2)^(1/2)/(-b*x^2+a)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} i \, x^{2}"," ",0,"-1/2*I*x^2","C",0
597,1,7,0,1.123922," ","integrate(x*(b-a/x^2)^(1/2)/(-b*x^2+a)^(1/2),x, algorithm=""maxima"")","-i \, \sqrt{x^{2}}"," ",0,"-I*sqrt(x^2)","C",0
598,1,4,0,1.038766," ","integrate((b-a/x^2)^(1/2)/(-b*x^2+a)^(1/2),x, algorithm=""maxima"")","-i \, \log\left(x\right)"," ",0,"-I*log(x)","C",0
599,1,7,0,1.114931," ","integrate((b-a/x^2)^(1/2)/x/(-b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{i}{\sqrt{x^{2}}}"," ",0,"I/sqrt(x^2)","C",0
600,1,5,0,1.057575," ","integrate((b-a/x^2)^(1/2)/x^2/(-b*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{i}{2 \, x^{2}}"," ",0,"1/2*I/x^2","C",0
601,0,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(a+b/x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{2}}}{\sqrt{a + \frac{b}{x^{2}}}}\,{d x}"," ",0,"integrate((d*x + c)^(3/2)/sqrt(a + b/x^2), x)","F",0
602,1,11,0,0.887926," ","integrate((x^3-1)/(x^4-4*x)^(2/3),x, algorithm=""maxima"")","\frac{3}{4} \, {\left(x^{4} - 4 \, x\right)}^{\frac{1}{3}}"," ",0,"3/4*(x^4 - 4*x)^(1/3)","A",0
603,1,13,0,0.879690," ","integrate((-x^2+2)*(-x^3+6*x)^(1/4),x, algorithm=""maxima"")","\frac{4}{15} \, {\left(-x^{3} + 6 \, x\right)}^{\frac{5}{4}}"," ",0,"4/15*(-x^3 + 6*x)^(5/4)","A",0
604,1,11,0,0.869051," ","integrate((x^4+1)*(x^5+5*x)^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(x^{5} + 5 \, x\right)}^{\frac{3}{2}}"," ",0,"2/15*(x^5 + 5*x)^(3/2)","A",0
605,1,11,0,0.870413," ","integrate((5*x^4+2)*(x^5+2*x)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(x^{5} + 2 \, x\right)}^{\frac{3}{2}}"," ",0,"2/3*(x^5 + 2*x)^(3/2)","A",0
606,1,11,0,0.884229," ","integrate((3*x^2+x)/(2*x^3+x^2)^(1/2),x, algorithm=""maxima"")","\sqrt{2 \, x^{3} + x^{2}}"," ",0,"sqrt(2*x^3 + x^2)","A",0
607,1,33,0,0.842341," ","integrate((2+(1-5*x)^(1/3))/(3+(1-5*x)^(1/3)),x, algorithm=""maxima"")","x + \frac{3}{10} \, {\left(-5 \, x + 1\right)}^{\frac{2}{3}} - \frac{9}{5} \, {\left(-5 \, x + 1\right)}^{\frac{1}{3}} + \frac{27}{5} \, \log\left({\left(-5 \, x + 1\right)}^{\frac{1}{3}} + 3\right) - \frac{1}{5}"," ",0,"x + 3/10*(-5*x + 1)^(2/3) - 9/5*(-5*x + 1)^(1/3) + 27/5*log((-5*x + 1)^(1/3) + 3) - 1/5","A",0
608,1,15,0,0.883832," ","integrate((1+x^(1/2))/(-1+x^(1/2)),x, algorithm=""maxima"")","x + 4 \, \sqrt{x} + 4 \, \log\left(\sqrt{x} - 1\right)"," ",0,"x + 4*sqrt(x) + 4*log(sqrt(x) - 1)","A",0
609,1,26,0,0.882010," ","integrate((1-(2+3*x)^(1/2))/(1+(2+3*x)^(1/2)),x, algorithm=""maxima"")","-x + \frac{4}{3} \, \sqrt{3 \, x + 2} - \frac{4}{3} \, \log\left(\sqrt{3 \, x + 2} + 1\right) - \frac{2}{3}"," ",0,"-x + 4/3*sqrt(3*x + 2) - 4/3*log(sqrt(3*x + 2) + 1) - 2/3","A",0
610,1,30,0,1.048789," ","integrate((-1+(b*x+a)^(1/2))/(1+(b*x+a)^(1/2)),x, algorithm=""maxima"")","\frac{b x + a - 4 \, \sqrt{b x + a} + 4 \, \log\left(\sqrt{b x + a} + 1\right)}{b}"," ",0,"(b*x + a - 4*sqrt(b*x + a) + 4*log(sqrt(b*x + a) + 1))/b","A",0
611,1,10,0,0.867957," ","integrate((a+b*n*x^(-1+n))/(a*x+b*x^n),x, algorithm=""maxima"")","\log\left(a x + b x^{n}\right)"," ",0,"log(a*x + b*x^n)","A",0
612,1,86,0,0.946991," ","integrate((a+b*n*x^(-1+n))/(x^n)/(b+a*x^(1-n)),x, algorithm=""maxima"")","b n {\left(\frac{\log\left(x\right)}{b} - \frac{n \log\left(x\right)}{b {\left(n - 1\right)}} + \frac{\log\left(\frac{a x + b x^{n}}{b}\right)}{b {\left(n - 1\right)}}\right)} + a {\left(\frac{n \log\left(x\right)}{a {\left(n - 1\right)}} - \frac{\log\left(\frac{a x + b x^{n}}{b}\right)}{a {\left(n - 1\right)}}\right)}"," ",0,"b*n*(log(x)/b - n*log(x)/(b*(n - 1)) + log((a*x + b*x^n)/b)/(b*(n - 1))) + a*(n*log(x)/(a*(n - 1)) - log((a*x + b*x^n)/b)/(a*(n - 1)))","B",0
613,1,97,0,1.759608," ","integrate(x*(c*x^2+b*x+a)^m*(g*x^3+f*x^2+e*x+d)^n*(2*a*d+(a*e*n+b*d*m+3*a*e+3*b*d)*x+(2*a*f*n+b*e*m+b*e*n+2*c*d*m+4*a*f+4*b*e+4*c*d)*x^2+(3*a*g*n+b*f*m+2*b*f*n+2*c*e*m+c*e*n+5*a*g+5*b*f+5*c*e)*x^3+(b*g*m+3*b*g*n+2*c*f*m+2*c*f*n+6*b*g+6*c*f)*x^4+c*g*(7+2*m+3*n)*x^5),x, algorithm=""maxima"")","{\left(c g x^{7} + {\left(c f + b g\right)} x^{6} + {\left(c e + b f + a g\right)} x^{5} + {\left(c d + b e + a f\right)} x^{4} + a d x^{2} + {\left(b d + a e\right)} x^{3}\right)} e^{\left(n \log\left(g x^{3} + f x^{2} + e x + d\right) + m \log\left(c x^{2} + b x + a\right)\right)}"," ",0,"(c*g*x^7 + (c*f + b*g)*x^6 + (c*e + b*f + a*g)*x^5 + (c*d + b*e + a*f)*x^4 + a*d*x^2 + (b*d + a*e)*x^3)*e^(n*log(g*x^3 + f*x^2 + e*x + d) + m*log(c*x^2 + b*x + a))","B",0
614,1,95,0,1.731039," ","integrate((c*x^2+b*x+a)^m*(g*x^3+f*x^2+e*x+d)^n*(a*d+(a*e*n+b*d*m+2*a*e+2*b*d)*x+(2*a*f*n+b*e*m+b*e*n+2*c*d*m+3*a*f+3*b*e+3*c*d)*x^2+(3*a*g*n+b*f*m+2*b*f*n+2*c*e*m+c*e*n+4*a*g+4*b*f+4*c*e)*x^3+(b*g*m+3*b*g*n+2*c*f*m+2*c*f*n+5*b*g+5*c*f)*x^4+c*g*(6+2*m+3*n)*x^5),x, algorithm=""maxima"")","{\left(c g x^{6} + {\left(c f + b g\right)} x^{5} + {\left(c e + b f + a g\right)} x^{4} + {\left(c d + b e + a f\right)} x^{3} + a d x + {\left(b d + a e\right)} x^{2}\right)} e^{\left(n \log\left(g x^{3} + f x^{2} + e x + d\right) + m \log\left(c x^{2} + b x + a\right)\right)}"," ",0,"(c*g*x^6 + (c*f + b*g)*x^5 + (c*e + b*f + a*g)*x^4 + (c*d + b*e + a*f)*x^3 + a*d*x + (b*d + a*e)*x^2)*e^(n*log(g*x^3 + f*x^2 + e*x + d) + m*log(c*x^2 + b*x + a))","B",0
615,1,92,0,1.704623," ","integrate((c*x^2+b*x+a)^m*(g*x^3+f*x^2+e*x+d)^n*(b*d+a*e+b*d*m+a*e*n+(2*a*f*n+b*e*m+b*e*n+2*c*d*m+2*a*f+2*b*e+2*c*d)*x+(3*a*g*n+b*f*m+2*b*f*n+2*c*e*m+c*e*n+3*a*g+3*b*f+3*c*e)*x^2+(b*g*m+3*b*g*n+2*c*f*m+2*c*f*n+4*b*g+4*c*f)*x^3+c*g*(5+2*m+3*n)*x^4),x, algorithm=""maxima"")","{\left(c g x^{5} + {\left(c f + b g\right)} x^{4} + {\left(c e + b f + a g\right)} x^{3} + {\left(c d + b e + a f\right)} x^{2} + a d + {\left(b d + a e\right)} x\right)} e^{\left(n \log\left(g x^{3} + f x^{2} + e x + d\right) + m \log\left(c x^{2} + b x + a\right)\right)}"," ",0,"(c*g*x^5 + (c*f + b*g)*x^4 + (c*e + b*f + a*g)*x^3 + (c*d + b*e + a*f)*x^2 + a*d + (b*d + a*e)*x)*e^(n*log(g*x^3 + f*x^2 + e*x + d) + m*log(c*x^2 + b*x + a))","B",0
616,1,95,0,1.757752," ","integrate((c*x^2+b*x+a)^m*(g*x^3+f*x^2+e*x+d)^n*(-a*d+(a*e*n+b*d*m)*x+(2*a*f*n+b*e*m+b*e*n+2*c*d*m+a*f+b*e+c*d)*x^2+(3*a*g*n+b*f*m+2*b*f*n+2*c*e*m+c*e*n+2*a*g+2*b*f+2*c*e)*x^3+(b*g*m+3*b*g*n+2*c*f*m+2*c*f*n+3*b*g+3*c*f)*x^4+c*g*(4+2*m+3*n)*x^5)/x^2,x, algorithm=""maxima"")","\frac{{\left(c g x^{5} + {\left(c f + b g\right)} x^{4} + {\left(c e + b f + a g\right)} x^{3} + {\left(c d + b e + a f\right)} x^{2} + a d + {\left(b d + a e\right)} x\right)} e^{\left(n \log\left(g x^{3} + f x^{2} + e x + d\right) + m \log\left(c x^{2} + b x + a\right)\right)}}{x}"," ",0,"(c*g*x^5 + (c*f + b*g)*x^4 + (c*e + b*f + a*g)*x^3 + (c*d + b*e + a*f)*x^2 + a*d + (b*d + a*e)*x)*e^(n*log(g*x^3 + f*x^2 + e*x + d) + m*log(c*x^2 + b*x + a))/x","B",0
617,1,95,0,1.809687," ","integrate((c*x^2+b*x+a)^m*(g*x^3+f*x^2+e*x+d)^n*(-2*a*d+(a*e*n+b*d*m-a*e-b*d)*x+(2*a*f*n+b*e*m+b*e*n+2*c*d*m)*x^2+(3*a*g*n+b*f*m+2*b*f*n+2*c*e*m+c*e*n+a*g+b*f+c*e)*x^3+(b*g*m+3*b*g*n+2*c*f*m+2*c*f*n+2*b*g+2*c*f)*x^4+c*g*(3+2*m+3*n)*x^5)/x^3,x, algorithm=""maxima"")","\frac{{\left(c g x^{5} + {\left(c f + b g\right)} x^{4} + {\left(c e + b f + a g\right)} x^{3} + {\left(c d + b e + a f\right)} x^{2} + a d + {\left(b d + a e\right)} x\right)} e^{\left(n \log\left(g x^{3} + f x^{2} + e x + d\right) + m \log\left(c x^{2} + b x + a\right)\right)}}{x^{2}}"," ",0,"(c*g*x^5 + (c*f + b*g)*x^4 + (c*e + b*f + a*g)*x^3 + (c*d + b*e + a*f)*x^2 + a*d + (b*d + a*e)*x)*e^(n*log(g*x^3 + f*x^2 + e*x + d) + m*log(c*x^2 + b*x + a))/x^2","B",0
618,1,151,0,0.878867," ","integrate(x^3*(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\frac{252 \, {\left(d x + c\right)}^{5} b^{2} + 560 \, {\left(d x + c\right)}^{\frac{9}{2}} a b - 2160 \, {\left(d x + c\right)}^{\frac{7}{2}} a b c + 3024 \, {\left(d x + c\right)}^{\frac{5}{2}} a b c^{2} - 1680 \, {\left(d x + c\right)}^{\frac{3}{2}} a b c^{3} - 1260 \, {\left(d x + c\right)} a^{2} c^{3} - 315 \, {\left(3 \, b^{2} c - a^{2}\right)} {\left(d x + c\right)}^{4} + 1260 \, {\left(b^{2} c^{2} - a^{2} c\right)} {\left(d x + c\right)}^{3} - 630 \, {\left(b^{2} c^{3} - 3 \, a^{2} c^{2}\right)} {\left(d x + c\right)}^{2}}{1260 \, d^{4}}"," ",0,"1/1260*(252*(d*x + c)^5*b^2 + 560*(d*x + c)^(9/2)*a*b - 2160*(d*x + c)^(7/2)*a*b*c + 3024*(d*x + c)^(5/2)*a*b*c^2 - 1680*(d*x + c)^(3/2)*a*b*c^3 - 1260*(d*x + c)*a^2*c^3 - 315*(3*b^2*c - a^2)*(d*x + c)^4 + 1260*(b^2*c^2 - a^2*c)*(d*x + c)^3 - 630*(b^2*c^3 - 3*a^2*c^2)*(d*x + c)^2)/d^4","A",0
619,1,112,0,0.878298," ","integrate(x^2*(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\frac{105 \, {\left(d x + c\right)}^{4} b^{2} + 240 \, {\left(d x + c\right)}^{\frac{7}{2}} a b - 672 \, {\left(d x + c\right)}^{\frac{5}{2}} a b c + 560 \, {\left(d x + c\right)}^{\frac{3}{2}} a b c^{2} + 420 \, {\left(d x + c\right)} a^{2} c^{2} - 140 \, {\left(2 \, b^{2} c - a^{2}\right)} {\left(d x + c\right)}^{3} + 210 \, {\left(b^{2} c^{2} - 2 \, a^{2} c\right)} {\left(d x + c\right)}^{2}}{420 \, d^{3}}"," ",0,"1/420*(105*(d*x + c)^4*b^2 + 240*(d*x + c)^(7/2)*a*b - 672*(d*x + c)^(5/2)*a*b*c + 560*(d*x + c)^(3/2)*a*b*c^2 + 420*(d*x + c)*a^2*c^2 - 140*(2*b^2*c - a^2)*(d*x + c)^3 + 210*(b^2*c^2 - 2*a^2*c)*(d*x + c)^2)/d^3","A",0
620,1,72,0,0.875657," ","integrate(x*(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\frac{10 \, {\left(d x + c\right)}^{3} b^{2} + 24 \, {\left(d x + c\right)}^{\frac{5}{2}} a b - 40 \, {\left(d x + c\right)}^{\frac{3}{2}} a b c - 30 \, {\left(d x + c\right)} a^{2} c - 15 \, {\left(b^{2} c - a^{2}\right)} {\left(d x + c\right)}^{2}}{30 \, d^{2}}"," ",0,"1/30*(10*(d*x + c)^3*b^2 + 24*(d*x + c)^(5/2)*a*b - 40*(d*x + c)^(3/2)*a*b*c - 30*(d*x + c)*a^2*c - 15*(b^2*c - a^2)*(d*x + c)^2)/d^2","A",0
621,1,35,0,0.825592," ","integrate((a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(d x^{2} + 2 \, c x\right)} b^{2} + a^{2} x + \frac{4 \, {\left(d x + c\right)}^{\frac{3}{2}} a b}{3 \, d}"," ",0,"1/2*(d*x^2 + 2*c*x)*b^2 + a^2*x + 4/3*(d*x + c)^(3/2)*a*b/d","A",0
622,1,70,0,1.931308," ","integrate((a+b*(d*x+c)^(1/2))^2/x,x, algorithm=""maxima"")","2 \, a b \sqrt{c} \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right) + {\left(d x + c\right)} b^{2} + 4 \, \sqrt{d x + c} a b + {\left(b^{2} c + a^{2}\right)} \log\left(d x\right)"," ",0,"2*a*b*sqrt(c)*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c))) + (d*x + c)*b^2 + 4*sqrt(d*x + c)*a*b + (b^2*c + a^2)*log(d*x)","A",0
623,1,73,0,1.967897," ","integrate((a+b*(d*x+c)^(1/2))^2/x^2,x, algorithm=""maxima"")","{\left(b^{2} \log\left(d x\right) + \frac{a b \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right)}{\sqrt{c}} - \frac{b^{2} c + 2 \, \sqrt{d x + c} a b + a^{2}}{d x}\right)} d"," ",0,"(b^2*log(d*x) + a*b*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c)))/sqrt(c) - (b^2*c + 2*sqrt(d*x + c)*a*b + a^2)/(d*x))*d","A",0
624,1,113,0,1.958431," ","integrate((a+b*(d*x+c)^(1/2))^2/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(\frac{a b \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right)}{c^{\frac{3}{2}}} + \frac{2 \, {\left(2 \, {\left(d x + c\right)} b^{2} c - b^{2} c^{2} + {\left(d x + c\right)}^{\frac{3}{2}} a b + \sqrt{d x + c} a b c + a^{2} c\right)}}{{\left(d x + c\right)}^{2} c - 2 \, {\left(d x + c\right)} c^{2} + c^{3}}\right)} d^{2}"," ",0,"-1/4*(a*b*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c)))/c^(3/2) + 2*(2*(d*x + c)*b^2*c - b^2*c^2 + (d*x + c)^(3/2)*a*b + sqrt(d*x + c)*a*b*c + a^2*c)/((d*x + c)^2*c - 2*(d*x + c)*c^2 + c^3))*d^2","A",0
625,1,268,0,0.960688," ","integrate(x^3*(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(45045 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{17}{2}} - 357357 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{15}{2}} a - 176715 \, {\left(b^{2} c - 7 \, a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{13}{2}} + 348075 \, {\left(3 \, a b^{2} c - 7 \, a^{3}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{11}{2}} + 85085 \, {\left(3 \, b^{4} c^{2} - 30 \, a^{2} b^{2} c + 35 \, a^{4}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{9}{2}} - 328185 \, {\left(3 \, a b^{4} c^{2} - 10 \, a^{3} b^{2} c + 7 \, a^{5}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{7}{2}} - 153153 \, {\left(b^{6} c^{3} - 9 \, a^{2} b^{4} c^{2} + 15 \, a^{4} b^{2} c - 7 \, a^{6}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{5}{2}} + 255255 \, {\left(a b^{6} c^{3} - 3 \, a^{3} b^{4} c^{2} + 3 \, a^{5} b^{2} c - a^{7}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{3}{2}}\right)}}{765765 \, b^{8} d^{4}}"," ",0,"4/765765*(45045*(sqrt(d*x + c)*b + a)^(17/2) - 357357*(sqrt(d*x + c)*b + a)^(15/2)*a - 176715*(b^2*c - 7*a^2)*(sqrt(d*x + c)*b + a)^(13/2) + 348075*(3*a*b^2*c - 7*a^3)*(sqrt(d*x + c)*b + a)^(11/2) + 85085*(3*b^4*c^2 - 30*a^2*b^2*c + 35*a^4)*(sqrt(d*x + c)*b + a)^(9/2) - 328185*(3*a*b^4*c^2 - 10*a^3*b^2*c + 7*a^5)*(sqrt(d*x + c)*b + a)^(7/2) - 153153*(b^6*c^3 - 9*a^2*b^4*c^2 + 15*a^4*b^2*c - 7*a^6)*(sqrt(d*x + c)*b + a)^(5/2) + 255255*(a*b^6*c^3 - 3*a^3*b^4*c^2 + 3*a^5*b^2*c - a^7)*(sqrt(d*x + c)*b + a)^(3/2))/(b^8*d^4)","A",0
626,1,167,0,0.943873," ","integrate(x^2*(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(3465 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{13}{2}} - 20475 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{11}{2}} a - 10010 \, {\left(b^{2} c - 5 \, a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{9}{2}} + 12870 \, {\left(3 \, a b^{2} c - 5 \, a^{3}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{7}{2}} + 9009 \, {\left(b^{4} c^{2} - 6 \, a^{2} b^{2} c + 5 \, a^{4}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{5}{2}} - 15015 \, {\left(a b^{4} c^{2} - 2 \, a^{3} b^{2} c + a^{5}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{3}{2}}\right)}}{45045 \, b^{6} d^{3}}"," ",0,"4/45045*(3465*(sqrt(d*x + c)*b + a)^(13/2) - 20475*(sqrt(d*x + c)*b + a)^(11/2)*a - 10010*(b^2*c - 5*a^2)*(sqrt(d*x + c)*b + a)^(9/2) + 12870*(3*a*b^2*c - 5*a^3)*(sqrt(d*x + c)*b + a)^(7/2) + 9009*(b^4*c^2 - 6*a^2*b^2*c + 5*a^4)*(sqrt(d*x + c)*b + a)^(5/2) - 15015*(a*b^4*c^2 - 2*a^3*b^2*c + a^5)*(sqrt(d*x + c)*b + a)^(3/2))/(b^6*d^3)","A",0
627,1,93,0,0.940699," ","integrate(x*(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(35 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{9}{2}} - 135 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{7}{2}} a - 63 \, {\left(b^{2} c - 3 \, a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{5}{2}} + 105 \, {\left(a b^{2} c - a^{3}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{3}{2}}\right)}}{315 \, b^{4} d^{2}}"," ",0,"4/315*(35*(sqrt(d*x + c)*b + a)^(9/2) - 135*(sqrt(d*x + c)*b + a)^(7/2)*a - 63*(b^2*c - 3*a^2)*(sqrt(d*x + c)*b + a)^(5/2) + 105*(a*b^2*c - a^3)*(sqrt(d*x + c)*b + a)^(3/2))/(b^4*d^2)","A",0
628,1,43,0,0.906589," ","integrate((a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(\frac{3 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{5}{2}}}{b^{2}} - \frac{5 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{3}{2}} a}{b^{2}}\right)}}{15 \, d}"," ",0,"4/15*(3*(sqrt(d*x + c)*b + a)^(5/2)/b^2 - 5*(sqrt(d*x + c)*b + a)^(3/2)*a/b^2)/d","A",0
629,0,0,0,0.000000," ","integrate((a+b*(d*x+c)^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{d x + c} b + a}}{x}\,{d x}"," ",0,"integrate(sqrt(sqrt(d*x + c)*b + a)/x, x)","F",0
630,0,0,0,0.000000," ","integrate((a+b*(d*x+c)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{d x + c} b + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(sqrt(d*x + c)*b + a)/x^2, x)","F",0
631,0,0,0,0.000000," ","integrate((a+b*(d*x+c)^(1/2))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{d x + c} b + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(sqrt(d*x + c)*b + a)/x^3, x)","F",0
632,1,243,0,0.904029," ","integrate(x^3/(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{\frac{60 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{6} - 70 \, {\left(d x + c\right)}^{3} a b^{5} - 84 \, {\left(3 \, b^{6} c - a^{2} b^{4}\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 105 \, {\left(3 \, a b^{5} c - a^{3} b^{3}\right)} {\left(d x + c\right)}^{2} + 140 \, {\left(3 \, b^{6} c^{2} - 3 \, a^{2} b^{4} c + a^{4} b^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}} - 210 \, {\left(3 \, a b^{5} c^{2} - 3 \, a^{3} b^{3} c + a^{5} b\right)} {\left(d x + c\right)} - 420 \, {\left(b^{6} c^{3} - 3 \, a^{2} b^{4} c^{2} + 3 \, a^{4} b^{2} c - a^{6}\right)} \sqrt{d x + c}}{b^{7}} + \frac{420 \, {\left(a b^{6} c^{3} - 3 \, a^{3} b^{4} c^{2} + 3 \, a^{5} b^{2} c - a^{7}\right)} \log\left(\sqrt{d x + c} b + a\right)}{b^{8}}}{210 \, d^{4}}"," ",0,"1/210*((60*(d*x + c)^(7/2)*b^6 - 70*(d*x + c)^3*a*b^5 - 84*(3*b^6*c - a^2*b^4)*(d*x + c)^(5/2) + 105*(3*a*b^5*c - a^3*b^3)*(d*x + c)^2 + 140*(3*b^6*c^2 - 3*a^2*b^4*c + a^4*b^2)*(d*x + c)^(3/2) - 210*(3*a*b^5*c^2 - 3*a^3*b^3*c + a^5*b)*(d*x + c) - 420*(b^6*c^3 - 3*a^2*b^4*c^2 + 3*a^4*b^2*c - a^6)*sqrt(d*x + c))/b^7 + 420*(a*b^6*c^3 - 3*a^3*b^4*c^2 + 3*a^5*b^2*c - a^7)*log(sqrt(d*x + c)*b + a)/b^8)/d^4","A",0
633,1,148,0,0.881595," ","integrate(x^2/(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{\frac{12 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{4} - 15 \, {\left(d x + c\right)}^{2} a b^{3} - 20 \, {\left(2 \, b^{4} c - a^{2} b^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 30 \, {\left(2 \, a b^{3} c - a^{3} b\right)} {\left(d x + c\right)} + 60 \, {\left(b^{4} c^{2} - 2 \, a^{2} b^{2} c + a^{4}\right)} \sqrt{d x + c}}{b^{5}} - \frac{60 \, {\left(a b^{4} c^{2} - 2 \, a^{3} b^{2} c + a^{5}\right)} \log\left(\sqrt{d x + c} b + a\right)}{b^{6}}}{30 \, d^{3}}"," ",0,"1/30*((12*(d*x + c)^(5/2)*b^4 - 15*(d*x + c)^2*a*b^3 - 20*(2*b^4*c - a^2*b^2)*(d*x + c)^(3/2) + 30*(2*a*b^3*c - a^3*b)*(d*x + c) + 60*(b^4*c^2 - 2*a^2*b^2*c + a^4)*sqrt(d*x + c))/b^5 - 60*(a*b^4*c^2 - 2*a^3*b^2*c + a^5)*log(sqrt(d*x + c)*b + a)/b^6)/d^3","A",0
634,1,81,0,0.879799," ","integrate(x/(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} - 3 \, {\left(d x + c\right)} a b - 6 \, {\left(b^{2} c - a^{2}\right)} \sqrt{d x + c}}{b^{3}} + \frac{6 \, {\left(a b^{2} c - a^{3}\right)} \log\left(\sqrt{d x + c} b + a\right)}{b^{4}}}{3 \, d^{2}}"," ",0,"1/3*((2*(d*x + c)^(3/2)*b^2 - 3*(d*x + c)*a*b - 6*(b^2*c - a^2)*sqrt(d*x + c))/b^3 + 6*(a*b^2*c - a^3)*log(sqrt(d*x + c)*b + a)/b^4)/d^2","A",0
635,1,35,0,0.885998," ","integrate(1/(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{a \log\left(\sqrt{d x + c} b + a\right)}{b^{2}} - \frac{\sqrt{d x + c}}{b}\right)}}{d}"," ",0,"-2*(a*log(sqrt(d*x + c)*b + a)/b^2 - sqrt(d*x + c)/b)/d","A",0
636,1,95,0,2.026459," ","integrate(1/x/(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{b \sqrt{c} \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right)}{b^{2} c - a^{2}} - \frac{a \log\left(d x\right)}{b^{2} c - a^{2}} + \frac{2 \, a \log\left(\sqrt{d x + c} b + a\right)}{b^{2} c - a^{2}}"," ",0,"b*sqrt(c)*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c)))/(b^2*c - a^2) - a*log(d*x)/(b^2*c - a^2) + 2*a*log(sqrt(d*x + c)*b + a)/(b^2*c - a^2)","A",0
637,1,191,0,2.035325," ","integrate(1/x^2/(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{2 \, a b^{2} \log\left(d x\right)}{b^{4} c^{2} - 2 \, a^{2} b^{2} c + a^{4}} - \frac{4 \, a b^{2} \log\left(\sqrt{d x + c} b + a\right)}{b^{4} c^{2} - 2 \, a^{2} b^{2} c + a^{4}} - \frac{{\left(b^{3} c + a^{2} b\right)} \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right)}{{\left(b^{4} c^{2} - 2 \, a^{2} b^{2} c + a^{4}\right)} \sqrt{c}} + \frac{2 \, {\left(\sqrt{d x + c} b - a\right)}}{b^{2} c^{2} - a^{2} c - {\left(b^{2} c - a^{2}\right)} {\left(d x + c\right)}}\right)} d"," ",0,"1/2*(2*a*b^2*log(d*x)/(b^4*c^2 - 2*a^2*b^2*c + a^4) - 4*a*b^2*log(sqrt(d*x + c)*b + a)/(b^4*c^2 - 2*a^2*b^2*c + a^4) - (b^3*c + a^2*b)*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c)))/((b^4*c^2 - 2*a^2*b^2*c + a^4)*sqrt(c)) + 2*(sqrt(d*x + c)*b - a)/(b^2*c^2 - a^2*c - (b^2*c - a^2)*(d*x + c)))*d","A",0
638,1,367,0,2.080651," ","integrate(1/x^3/(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(\frac{8 \, a b^{4} \log\left(d x\right)}{b^{6} c^{3} - 3 \, a^{2} b^{4} c^{2} + 3 \, a^{4} b^{2} c - a^{6}} - \frac{16 \, a b^{4} \log\left(\sqrt{d x + c} b + a\right)}{b^{6} c^{3} - 3 \, a^{2} b^{4} c^{2} + 3 \, a^{4} b^{2} c - a^{6}} - \frac{{\left(3 \, b^{5} c^{2} + 6 \, a^{2} b^{3} c - a^{4} b\right)} \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right)}{{\left(b^{6} c^{4} - 3 \, a^{2} b^{4} c^{3} + 3 \, a^{4} b^{2} c^{2} - a^{6} c\right)} \sqrt{c}} + \frac{2 \, {\left(4 \, {\left(d x + c\right)} a b^{2} c - 6 \, a b^{2} c^{2} + 2 \, a^{3} c - {\left(3 \, b^{3} c + a^{2} b\right)} {\left(d x + c\right)}^{\frac{3}{2}} + {\left(5 \, b^{3} c^{2} - a^{2} b c\right)} \sqrt{d x + c}\right)}}{b^{4} c^{5} - 2 \, a^{2} b^{2} c^{4} + a^{4} c^{3} + {\left(b^{4} c^{3} - 2 \, a^{2} b^{2} c^{2} + a^{4} c\right)} {\left(d x + c\right)}^{2} - 2 \, {\left(b^{4} c^{4} - 2 \, a^{2} b^{2} c^{3} + a^{4} c^{2}\right)} {\left(d x + c\right)}}\right)} d^{2}"," ",0,"-1/8*(8*a*b^4*log(d*x)/(b^6*c^3 - 3*a^2*b^4*c^2 + 3*a^4*b^2*c - a^6) - 16*a*b^4*log(sqrt(d*x + c)*b + a)/(b^6*c^3 - 3*a^2*b^4*c^2 + 3*a^4*b^2*c - a^6) - (3*b^5*c^2 + 6*a^2*b^3*c - a^4*b)*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c)))/((b^6*c^4 - 3*a^2*b^4*c^3 + 3*a^4*b^2*c^2 - a^6*c)*sqrt(c)) + 2*(4*(d*x + c)*a*b^2*c - 6*a*b^2*c^2 + 2*a^3*c - (3*b^3*c + a^2*b)*(d*x + c)^(3/2) + (5*b^3*c^2 - a^2*b*c)*sqrt(d*x + c))/(b^4*c^5 - 2*a^2*b^2*c^4 + a^4*c^3 + (b^4*c^3 - 2*a^2*b^2*c^2 + a^4*c)*(d*x + c)^2 - 2*(b^4*c^4 - 2*a^2*b^2*c^3 + a^4*c^2)*(d*x + c)))*d^2","A",0
639,1,251,0,0.930020," ","integrate(x^3/(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","-\frac{\frac{60 \, {\left(a b^{6} c^{3} - 3 \, a^{3} b^{4} c^{2} + 3 \, a^{5} b^{2} c - a^{7}\right)}}{\sqrt{d x + c} b^{9} + a b^{8}} - \frac{10 \, {\left(d x + c\right)}^{3} b^{5} - 24 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{4} - 45 \, {\left(b^{5} c - a^{2} b^{3}\right)} {\left(d x + c\right)}^{2} + 40 \, {\left(3 \, a b^{4} c - 2 \, a^{3} b^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 30 \, {\left(3 \, b^{5} c^{2} - 9 \, a^{2} b^{3} c + 5 \, a^{4} b\right)} {\left(d x + c\right)} - 360 \, {\left(a b^{4} c^{2} - 2 \, a^{3} b^{2} c + a^{5}\right)} \sqrt{d x + c}}{b^{7}} + \frac{60 \, {\left(b^{6} c^{3} - 9 \, a^{2} b^{4} c^{2} + 15 \, a^{4} b^{2} c - 7 \, a^{6}\right)} \log\left(\sqrt{d x + c} b + a\right)}{b^{8}}}{30 \, d^{4}}"," ",0,"-1/30*(60*(a*b^6*c^3 - 3*a^3*b^4*c^2 + 3*a^5*b^2*c - a^7)/(sqrt(d*x + c)*b^9 + a*b^8) - (10*(d*x + c)^3*b^5 - 24*(d*x + c)^(5/2)*a*b^4 - 45*(b^5*c - a^2*b^3)*(d*x + c)^2 + 40*(3*a*b^4*c - 2*a^3*b^2)*(d*x + c)^(3/2) + 30*(3*b^5*c^2 - 9*a^2*b^3*c + 5*a^4*b)*(d*x + c) - 360*(a*b^4*c^2 - 2*a^3*b^2*c + a^5)*sqrt(d*x + c))/b^7 + 60*(b^6*c^3 - 9*a^2*b^4*c^2 + 15*a^4*b^2*c - 7*a^6)*log(sqrt(d*x + c)*b + a)/b^8)/d^4","A",0
640,1,158,0,0.929188," ","integrate(x^2/(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\frac{\frac{12 \, {\left(a b^{4} c^{2} - 2 \, a^{3} b^{2} c + a^{5}\right)}}{\sqrt{d x + c} b^{7} + a b^{6}} + \frac{3 \, {\left(d x + c\right)}^{2} b^{3} - 8 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} - 6 \, {\left(2 \, b^{3} c - 3 \, a^{2} b\right)} {\left(d x + c\right)} + 48 \, {\left(a b^{2} c - a^{3}\right)} \sqrt{d x + c}}{b^{5}} + \frac{12 \, {\left(b^{4} c^{2} - 6 \, a^{2} b^{2} c + 5 \, a^{4}\right)} \log\left(\sqrt{d x + c} b + a\right)}{b^{6}}}{6 \, d^{3}}"," ",0,"1/6*(12*(a*b^4*c^2 - 2*a^3*b^2*c + a^5)/(sqrt(d*x + c)*b^7 + a*b^6) + (3*(d*x + c)^2*b^3 - 8*(d*x + c)^(3/2)*a*b^2 - 6*(2*b^3*c - 3*a^2*b)*(d*x + c) + 48*(a*b^2*c - a^3)*sqrt(d*x + c))/b^5 + 12*(b^4*c^2 - 6*a^2*b^2*c + 5*a^4)*log(sqrt(d*x + c)*b + a)/b^6)/d^3","A",0
641,1,90,0,1.049108," ","integrate(x/(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","-\frac{\frac{2 \, {\left(a b^{2} c - a^{3}\right)}}{\sqrt{d x + c} b^{5} + a b^{4}} - \frac{{\left(d x + c\right)} b - 4 \, \sqrt{d x + c} a}{b^{3}} + \frac{2 \, {\left(b^{2} c - 3 \, a^{2}\right)} \log\left(\sqrt{d x + c} b + a\right)}{b^{4}}}{d^{2}}"," ",0,"-(2*(a*b^2*c - a^3)/(sqrt(d*x + c)*b^5 + a*b^4) - ((d*x + c)*b - 4*sqrt(d*x + c)*a)/b^3 + 2*(b^2*c - 3*a^2)*log(sqrt(d*x + c)*b + a)/b^4)/d^2","A",0
642,1,43,0,0.872642," ","integrate(1/(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{a}{\sqrt{d x + c} b^{3} + a b^{2}} + \frac{\log\left(\sqrt{d x + c} b + a\right)}{b^{2}}\right)}}{d}"," ",0,"2*(a/(sqrt(d*x + c)*b^3 + a*b^2) + log(sqrt(d*x + c)*b + a)/b^2)/d","A",0
643,1,176,0,1.990248," ","integrate(1/x/(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","-\frac{2 \, a b \sqrt{c} \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right)}{b^{4} c^{2} - 2 \, a^{2} b^{2} c + a^{4}} + \frac{{\left(b^{2} c + a^{2}\right)} \log\left(d x\right)}{b^{4} c^{2} - 2 \, a^{2} b^{2} c + a^{4}} - \frac{2 \, {\left(b^{2} c + a^{2}\right)} \log\left(\sqrt{d x + c} b + a\right)}{b^{4} c^{2} - 2 \, a^{2} b^{2} c + a^{4}} - \frac{2 \, a}{a b^{2} c - a^{3} + {\left(b^{3} c - a^{2} b\right)} \sqrt{d x + c}}"," ",0,"-2*a*b*sqrt(c)*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c)))/(b^4*c^2 - 2*a^2*b^2*c + a^4) + (b^2*c + a^2)*log(d*x)/(b^4*c^2 - 2*a^2*b^2*c + a^4) - 2*(b^2*c + a^2)*log(sqrt(d*x + c)*b + a)/(b^4*c^2 - 2*a^2*b^2*c + a^4) - 2*a/(a*b^2*c - a^3 + (b^3*c - a^2*b)*sqrt(d*x + c))","A",0
644,1,367,0,2.014050," ","integrate(1/x^2/(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","-d {\left(\frac{{\left(b^{4} c + 3 \, a^{2} b^{2}\right)} \log\left(d x\right)}{b^{6} c^{3} - 3 \, a^{2} b^{4} c^{2} + 3 \, a^{4} b^{2} c - a^{6}} - \frac{2 \, {\left(b^{4} c + 3 \, a^{2} b^{2}\right)} \log\left(\sqrt{d x + c} b + a\right)}{b^{6} c^{3} - 3 \, a^{2} b^{4} c^{2} + 3 \, a^{4} b^{2} c - a^{6}} - \frac{{\left(3 \, a b^{3} c + a^{3} b\right)} \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right)}{{\left(b^{6} c^{3} - 3 \, a^{2} b^{4} c^{2} + 3 \, a^{4} b^{2} c - a^{6}\right)} \sqrt{c}} + \frac{4 \, {\left(d x + c\right)} a b^{2} - 3 \, a b^{2} c - a^{3} - {\left(b^{3} c - a^{2} b\right)} \sqrt{d x + c}}{a b^{4} c^{3} - 2 \, a^{3} b^{2} c^{2} + a^{5} c - {\left(b^{5} c^{2} - 2 \, a^{2} b^{3} c + a^{4} b\right)} {\left(d x + c\right)}^{\frac{3}{2}} - {\left(a b^{4} c^{2} - 2 \, a^{3} b^{2} c + a^{5}\right)} {\left(d x + c\right)} + {\left(b^{5} c^{3} - 2 \, a^{2} b^{3} c^{2} + a^{4} b c\right)} \sqrt{d x + c}}\right)}"," ",0,"-d*((b^4*c + 3*a^2*b^2)*log(d*x)/(b^6*c^3 - 3*a^2*b^4*c^2 + 3*a^4*b^2*c - a^6) - 2*(b^4*c + 3*a^2*b^2)*log(sqrt(d*x + c)*b + a)/(b^6*c^3 - 3*a^2*b^4*c^2 + 3*a^4*b^2*c - a^6) - (3*a*b^3*c + a^3*b)*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c)))/((b^6*c^3 - 3*a^2*b^4*c^2 + 3*a^4*b^2*c - a^6)*sqrt(c)) + (4*(d*x + c)*a*b^2 - 3*a*b^2*c - a^3 - (b^3*c - a^2*b)*sqrt(d*x + c))/(a*b^4*c^3 - 2*a^3*b^2*c^2 + a^5*c - (b^5*c^2 - 2*a^2*b^3*c + a^4*b)*(d*x + c)^(3/2) - (a*b^4*c^2 - 2*a^3*b^2*c + a^5)*(d*x + c) + (b^5*c^3 - 2*a^2*b^3*c^2 + a^4*b*c)*sqrt(d*x + c)))","A",0
645,1,659,0,2.086014," ","integrate(1/x^3/(a+b*(d*x+c)^(1/2))^2,x, algorithm=""maxima"")","\frac{1}{4} \, d^{2} {\left(\frac{4 \, {\left(b^{6} c + 5 \, a^{2} b^{4}\right)} \log\left(d x\right)}{b^{8} c^{4} - 4 \, a^{2} b^{6} c^{3} + 6 \, a^{4} b^{4} c^{2} - 4 \, a^{6} b^{2} c + a^{8}} - \frac{8 \, {\left(b^{6} c + 5 \, a^{2} b^{4}\right)} \log\left(\sqrt{d x + c} b + a\right)}{b^{8} c^{4} - 4 \, a^{2} b^{6} c^{3} + 6 \, a^{4} b^{4} c^{2} - 4 \, a^{6} b^{2} c + a^{8}} - \frac{{\left(15 \, a b^{5} c^{2} + 10 \, a^{3} b^{3} c - a^{5} b\right)} \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right)}{{\left(b^{8} c^{5} - 4 \, a^{2} b^{6} c^{4} + 6 \, a^{4} b^{4} c^{3} - 4 \, a^{6} b^{2} c^{2} + a^{8} c\right)} \sqrt{c}} - \frac{2 \, {\left(7 \, a b^{4} c^{3} + 6 \, a^{3} b^{2} c^{2} - a^{5} c + {\left(11 \, a b^{4} c + a^{3} b^{2}\right)} {\left(d x + c\right)}^{2} - {\left(2 \, b^{5} c^{2} - a^{2} b^{3} c - a^{4} b\right)} {\left(d x + c\right)}^{\frac{3}{2}} - {\left(19 \, a b^{4} c^{2} + 5 \, a^{3} b^{2} c\right)} {\left(d x + c\right)} + 3 \, {\left(b^{5} c^{3} - a^{2} b^{3} c^{2}\right)} \sqrt{d x + c}\right)}}{a b^{6} c^{6} - 3 \, a^{3} b^{4} c^{5} + 3 \, a^{5} b^{2} c^{4} - a^{7} c^{3} + {\left(b^{7} c^{4} - 3 \, a^{2} b^{5} c^{3} + 3 \, a^{4} b^{3} c^{2} - a^{6} b c\right)} {\left(d x + c\right)}^{\frac{5}{2}} + {\left(a b^{6} c^{4} - 3 \, a^{3} b^{4} c^{3} + 3 \, a^{5} b^{2} c^{2} - a^{7} c\right)} {\left(d x + c\right)}^{2} - 2 \, {\left(b^{7} c^{5} - 3 \, a^{2} b^{5} c^{4} + 3 \, a^{4} b^{3} c^{3} - a^{6} b c^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}} - 2 \, {\left(a b^{6} c^{5} - 3 \, a^{3} b^{4} c^{4} + 3 \, a^{5} b^{2} c^{3} - a^{7} c^{2}\right)} {\left(d x + c\right)} + {\left(b^{7} c^{6} - 3 \, a^{2} b^{5} c^{5} + 3 \, a^{4} b^{3} c^{4} - a^{6} b c^{3}\right)} \sqrt{d x + c}}\right)}"," ",0,"1/4*d^2*(4*(b^6*c + 5*a^2*b^4)*log(d*x)/(b^8*c^4 - 4*a^2*b^6*c^3 + 6*a^4*b^4*c^2 - 4*a^6*b^2*c + a^8) - 8*(b^6*c + 5*a^2*b^4)*log(sqrt(d*x + c)*b + a)/(b^8*c^4 - 4*a^2*b^6*c^3 + 6*a^4*b^4*c^2 - 4*a^6*b^2*c + a^8) - (15*a*b^5*c^2 + 10*a^3*b^3*c - a^5*b)*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c)))/((b^8*c^5 - 4*a^2*b^6*c^4 + 6*a^4*b^4*c^3 - 4*a^6*b^2*c^2 + a^8*c)*sqrt(c)) - 2*(7*a*b^4*c^3 + 6*a^3*b^2*c^2 - a^5*c + (11*a*b^4*c + a^3*b^2)*(d*x + c)^2 - (2*b^5*c^2 - a^2*b^3*c - a^4*b)*(d*x + c)^(3/2) - (19*a*b^4*c^2 + 5*a^3*b^2*c)*(d*x + c) + 3*(b^5*c^3 - a^2*b^3*c^2)*sqrt(d*x + c))/(a*b^6*c^6 - 3*a^3*b^4*c^5 + 3*a^5*b^2*c^4 - a^7*c^3 + (b^7*c^4 - 3*a^2*b^5*c^3 + 3*a^4*b^3*c^2 - a^6*b*c)*(d*x + c)^(5/2) + (a*b^6*c^4 - 3*a^3*b^4*c^3 + 3*a^5*b^2*c^2 - a^7*c)*(d*x + c)^2 - 2*(b^7*c^5 - 3*a^2*b^5*c^4 + 3*a^4*b^3*c^3 - a^6*b*c^2)*(d*x + c)^(3/2) - 2*(a*b^6*c^5 - 3*a^3*b^4*c^4 + 3*a^5*b^2*c^3 - a^7*c^2)*(d*x + c) + (b^7*c^6 - 3*a^2*b^5*c^5 + 3*a^4*b^3*c^4 - a^6*b*c^3)*sqrt(d*x + c)))","B",0
646,1,268,0,0.941818," ","integrate(x^3/(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(3003 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{15}{2}} - 24255 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{13}{2}} a - 12285 \, {\left(b^{2} c - 7 \, a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{11}{2}} + 25025 \, {\left(3 \, a b^{2} c - 7 \, a^{3}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{9}{2}} + 6435 \, {\left(3 \, b^{4} c^{2} - 30 \, a^{2} b^{2} c + 35 \, a^{4}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{7}{2}} - 27027 \, {\left(3 \, a b^{4} c^{2} - 10 \, a^{3} b^{2} c + 7 \, a^{5}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{5}{2}} - 15015 \, {\left(b^{6} c^{3} - 9 \, a^{2} b^{4} c^{2} + 15 \, a^{4} b^{2} c - 7 \, a^{6}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{3}{2}} + 45045 \, {\left(a b^{6} c^{3} - 3 \, a^{3} b^{4} c^{2} + 3 \, a^{5} b^{2} c - a^{7}\right)} \sqrt{\sqrt{d x + c} b + a}\right)}}{45045 \, b^{8} d^{4}}"," ",0,"4/45045*(3003*(sqrt(d*x + c)*b + a)^(15/2) - 24255*(sqrt(d*x + c)*b + a)^(13/2)*a - 12285*(b^2*c - 7*a^2)*(sqrt(d*x + c)*b + a)^(11/2) + 25025*(3*a*b^2*c - 7*a^3)*(sqrt(d*x + c)*b + a)^(9/2) + 6435*(3*b^4*c^2 - 30*a^2*b^2*c + 35*a^4)*(sqrt(d*x + c)*b + a)^(7/2) - 27027*(3*a*b^4*c^2 - 10*a^3*b^2*c + 7*a^5)*(sqrt(d*x + c)*b + a)^(5/2) - 15015*(b^6*c^3 - 9*a^2*b^4*c^2 + 15*a^4*b^2*c - 7*a^6)*(sqrt(d*x + c)*b + a)^(3/2) + 45045*(a*b^6*c^3 - 3*a^3*b^4*c^2 + 3*a^5*b^2*c - a^7)*sqrt(sqrt(d*x + c)*b + a))/(b^8*d^4)","A",0
647,1,167,0,0.922482," ","integrate(x^2/(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(315 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{11}{2}} - 1925 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{9}{2}} a - 990 \, {\left(b^{2} c - 5 \, a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{7}{2}} + 1386 \, {\left(3 \, a b^{2} c - 5 \, a^{3}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{5}{2}} + 1155 \, {\left(b^{4} c^{2} - 6 \, a^{2} b^{2} c + 5 \, a^{4}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{3}{2}} - 3465 \, {\left(a b^{4} c^{2} - 2 \, a^{3} b^{2} c + a^{5}\right)} \sqrt{\sqrt{d x + c} b + a}\right)}}{3465 \, b^{6} d^{3}}"," ",0,"4/3465*(315*(sqrt(d*x + c)*b + a)^(11/2) - 1925*(sqrt(d*x + c)*b + a)^(9/2)*a - 990*(b^2*c - 5*a^2)*(sqrt(d*x + c)*b + a)^(7/2) + 1386*(3*a*b^2*c - 5*a^3)*(sqrt(d*x + c)*b + a)^(5/2) + 1155*(b^4*c^2 - 6*a^2*b^2*c + 5*a^4)*(sqrt(d*x + c)*b + a)^(3/2) - 3465*(a*b^4*c^2 - 2*a^3*b^2*c + a^5)*sqrt(sqrt(d*x + c)*b + a))/(b^6*d^3)","A",0
648,1,93,0,0.926586," ","integrate(x/(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(15 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{7}{2}} - 63 \, {\left(\sqrt{d x + c} b + a\right)}^{\frac{5}{2}} a - 35 \, {\left(b^{2} c - 3 \, a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{\frac{3}{2}} + 105 \, {\left(a b^{2} c - a^{3}\right)} \sqrt{\sqrt{d x + c} b + a}\right)}}{105 \, b^{4} d^{2}}"," ",0,"4/105*(15*(sqrt(d*x + c)*b + a)^(7/2) - 63*(sqrt(d*x + c)*b + a)^(5/2)*a - 35*(b^2*c - 3*a^2)*(sqrt(d*x + c)*b + a)^(3/2) + 105*(a*b^2*c - a^3)*sqrt(sqrt(d*x + c)*b + a))/(b^4*d^2)","A",0
649,1,42,0,0.855517," ","integrate(1/(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(\frac{{\left(\sqrt{d x + c} b + a\right)}^{\frac{3}{2}}}{b^{2}} - \frac{3 \, \sqrt{\sqrt{d x + c} b + a} a}{b^{2}}\right)}}{3 \, d}"," ",0,"4/3*((sqrt(d*x + c)*b + a)^(3/2)/b^2 - 3*sqrt(sqrt(d*x + c)*b + a)*a/b^2)/d","A",0
650,0,0,0,0.000000," ","integrate(1/x/(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\sqrt{d x + c} b + a} x}\,{d x}"," ",0,"integrate(1/(sqrt(sqrt(d*x + c)*b + a)*x), x)","F",0
651,0,0,0,0.000000," ","integrate(1/x^2/(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\sqrt{d x + c} b + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(sqrt(d*x + c)*b + a)*x^2), x)","F",0
652,0,0,0,0.000000," ","integrate(1/x^3/(a+b*(d*x+c)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\sqrt{d x + c} b + a} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(sqrt(d*x + c)*b + a)*x^3), x)","F",0
653,1,728,0,1.125575," ","integrate(x^3*(a+b*(d*x+c)^(1/2))^p,x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{{\left({\left(d x + c\right)} b^{2} {\left(p + 1\right)} + \sqrt{d x + c} a b p - a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p} c^{3}}{{\left(p^{2} + 3 \, p + 2\right)} b^{2}} - \frac{3 \, {\left({\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} {\left(d x + c\right)}^{2} b^{4} + {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} - 3 \, {\left(p^{2} + p\right)} {\left(d x + c\right)} a^{2} b^{2} + 6 \, \sqrt{d x + c} a^{3} b p - 6 \, a^{4}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p} c^{2}}{{\left(p^{4} + 10 \, p^{3} + 35 \, p^{2} + 50 \, p + 24\right)} b^{4}} + \frac{3 \, {\left({\left(p^{5} + 15 \, p^{4} + 85 \, p^{3} + 225 \, p^{2} + 274 \, p + 120\right)} {\left(d x + c\right)}^{3} b^{6} + {\left(p^{5} + 10 \, p^{4} + 35 \, p^{3} + 50 \, p^{2} + 24 \, p\right)} {\left(d x + c\right)}^{\frac{5}{2}} a b^{5} - 5 \, {\left(p^{4} + 6 \, p^{3} + 11 \, p^{2} + 6 \, p\right)} {\left(d x + c\right)}^{2} a^{2} b^{4} + 20 \, {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b^{3} - 60 \, {\left(p^{2} + p\right)} {\left(d x + c\right)} a^{4} b^{2} + 120 \, \sqrt{d x + c} a^{5} b p - 120 \, a^{6}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p} c}{{\left(p^{6} + 21 \, p^{5} + 175 \, p^{4} + 735 \, p^{3} + 1624 \, p^{2} + 1764 \, p + 720\right)} b^{6}} - \frac{{\left({\left(p^{7} + 28 \, p^{6} + 322 \, p^{5} + 1960 \, p^{4} + 6769 \, p^{3} + 13132 \, p^{2} + 13068 \, p + 5040\right)} {\left(d x + c\right)}^{4} b^{8} + {\left(p^{7} + 21 \, p^{6} + 175 \, p^{5} + 735 \, p^{4} + 1624 \, p^{3} + 1764 \, p^{2} + 720 \, p\right)} {\left(d x + c\right)}^{\frac{7}{2}} a b^{7} - 7 \, {\left(p^{6} + 15 \, p^{5} + 85 \, p^{4} + 225 \, p^{3} + 274 \, p^{2} + 120 \, p\right)} {\left(d x + c\right)}^{3} a^{2} b^{6} + 42 \, {\left(p^{5} + 10 \, p^{4} + 35 \, p^{3} + 50 \, p^{2} + 24 \, p\right)} {\left(d x + c\right)}^{\frac{5}{2}} a^{3} b^{5} - 210 \, {\left(p^{4} + 6 \, p^{3} + 11 \, p^{2} + 6 \, p\right)} {\left(d x + c\right)}^{2} a^{4} b^{4} + 840 \, {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} {\left(d x + c\right)}^{\frac{3}{2}} a^{5} b^{3} - 2520 \, {\left(p^{2} + p\right)} {\left(d x + c\right)} a^{6} b^{2} + 5040 \, \sqrt{d x + c} a^{7} b p - 5040 \, a^{8}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p}}{{\left(p^{8} + 36 \, p^{7} + 546 \, p^{6} + 4536 \, p^{5} + 22449 \, p^{4} + 67284 \, p^{3} + 118124 \, p^{2} + 109584 \, p + 40320\right)} b^{8}}\right)}}{d^{4}}"," ",0,"-2*(((d*x + c)*b^2*(p + 1) + sqrt(d*x + c)*a*b*p - a^2)*(sqrt(d*x + c)*b + a)^p*c^3/((p^2 + 3*p + 2)*b^2) - 3*((p^3 + 6*p^2 + 11*p + 6)*(d*x + c)^2*b^4 + (p^3 + 3*p^2 + 2*p)*(d*x + c)^(3/2)*a*b^3 - 3*(p^2 + p)*(d*x + c)*a^2*b^2 + 6*sqrt(d*x + c)*a^3*b*p - 6*a^4)*(sqrt(d*x + c)*b + a)^p*c^2/((p^4 + 10*p^3 + 35*p^2 + 50*p + 24)*b^4) + 3*((p^5 + 15*p^4 + 85*p^3 + 225*p^2 + 274*p + 120)*(d*x + c)^3*b^6 + (p^5 + 10*p^4 + 35*p^3 + 50*p^2 + 24*p)*(d*x + c)^(5/2)*a*b^5 - 5*(p^4 + 6*p^3 + 11*p^2 + 6*p)*(d*x + c)^2*a^2*b^4 + 20*(p^3 + 3*p^2 + 2*p)*(d*x + c)^(3/2)*a^3*b^3 - 60*(p^2 + p)*(d*x + c)*a^4*b^2 + 120*sqrt(d*x + c)*a^5*b*p - 120*a^6)*(sqrt(d*x + c)*b + a)^p*c/((p^6 + 21*p^5 + 175*p^4 + 735*p^3 + 1624*p^2 + 1764*p + 720)*b^6) - ((p^7 + 28*p^6 + 322*p^5 + 1960*p^4 + 6769*p^3 + 13132*p^2 + 13068*p + 5040)*(d*x + c)^4*b^8 + (p^7 + 21*p^6 + 175*p^5 + 735*p^4 + 1624*p^3 + 1764*p^2 + 720*p)*(d*x + c)^(7/2)*a*b^7 - 7*(p^6 + 15*p^5 + 85*p^4 + 225*p^3 + 274*p^2 + 120*p)*(d*x + c)^3*a^2*b^6 + 42*(p^5 + 10*p^4 + 35*p^3 + 50*p^2 + 24*p)*(d*x + c)^(5/2)*a^3*b^5 - 210*(p^4 + 6*p^3 + 11*p^2 + 6*p)*(d*x + c)^2*a^4*b^4 + 840*(p^3 + 3*p^2 + 2*p)*(d*x + c)^(3/2)*a^5*b^3 - 2520*(p^2 + p)*(d*x + c)*a^6*b^2 + 5040*sqrt(d*x + c)*a^7*b*p - 5040*a^8)*(sqrt(d*x + c)*b + a)^p/((p^8 + 36*p^7 + 546*p^6 + 4536*p^5 + 22449*p^4 + 67284*p^3 + 118124*p^2 + 109584*p + 40320)*b^8))/d^4","B",0
654,1,402,0,1.063069," ","integrate(x^2*(a+b*(d*x+c)^(1/2))^p,x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left({\left(d x + c\right)} b^{2} {\left(p + 1\right)} + \sqrt{d x + c} a b p - a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p} c^{2}}{{\left(p^{2} + 3 \, p + 2\right)} b^{2}} - \frac{2 \, {\left({\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} {\left(d x + c\right)}^{2} b^{4} + {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} - 3 \, {\left(p^{2} + p\right)} {\left(d x + c\right)} a^{2} b^{2} + 6 \, \sqrt{d x + c} a^{3} b p - 6 \, a^{4}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p} c}{{\left(p^{4} + 10 \, p^{3} + 35 \, p^{2} + 50 \, p + 24\right)} b^{4}} + \frac{{\left({\left(p^{5} + 15 \, p^{4} + 85 \, p^{3} + 225 \, p^{2} + 274 \, p + 120\right)} {\left(d x + c\right)}^{3} b^{6} + {\left(p^{5} + 10 \, p^{4} + 35 \, p^{3} + 50 \, p^{2} + 24 \, p\right)} {\left(d x + c\right)}^{\frac{5}{2}} a b^{5} - 5 \, {\left(p^{4} + 6 \, p^{3} + 11 \, p^{2} + 6 \, p\right)} {\left(d x + c\right)}^{2} a^{2} b^{4} + 20 \, {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b^{3} - 60 \, {\left(p^{2} + p\right)} {\left(d x + c\right)} a^{4} b^{2} + 120 \, \sqrt{d x + c} a^{5} b p - 120 \, a^{6}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p}}{{\left(p^{6} + 21 \, p^{5} + 175 \, p^{4} + 735 \, p^{3} + 1624 \, p^{2} + 1764 \, p + 720\right)} b^{6}}\right)}}{d^{3}}"," ",0,"2*(((d*x + c)*b^2*(p + 1) + sqrt(d*x + c)*a*b*p - a^2)*(sqrt(d*x + c)*b + a)^p*c^2/((p^2 + 3*p + 2)*b^2) - 2*((p^3 + 6*p^2 + 11*p + 6)*(d*x + c)^2*b^4 + (p^3 + 3*p^2 + 2*p)*(d*x + c)^(3/2)*a*b^3 - 3*(p^2 + p)*(d*x + c)*a^2*b^2 + 6*sqrt(d*x + c)*a^3*b*p - 6*a^4)*(sqrt(d*x + c)*b + a)^p*c/((p^4 + 10*p^3 + 35*p^2 + 50*p + 24)*b^4) + ((p^5 + 15*p^4 + 85*p^3 + 225*p^2 + 274*p + 120)*(d*x + c)^3*b^6 + (p^5 + 10*p^4 + 35*p^3 + 50*p^2 + 24*p)*(d*x + c)^(5/2)*a*b^5 - 5*(p^4 + 6*p^3 + 11*p^2 + 6*p)*(d*x + c)^2*a^2*b^4 + 20*(p^3 + 3*p^2 + 2*p)*(d*x + c)^(3/2)*a^3*b^3 - 60*(p^2 + p)*(d*x + c)*a^4*b^2 + 120*sqrt(d*x + c)*a^5*b*p - 120*a^6)*(sqrt(d*x + c)*b + a)^p/((p^6 + 21*p^5 + 175*p^4 + 735*p^3 + 1624*p^2 + 1764*p + 720)*b^6))/d^3","A",0
655,1,187,0,0.988084," ","integrate(x*(a+b*(d*x+c)^(1/2))^p,x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{{\left({\left(d x + c\right)} b^{2} {\left(p + 1\right)} + \sqrt{d x + c} a b p - a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p} c}{{\left(p^{2} + 3 \, p + 2\right)} b^{2}} - \frac{{\left({\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} {\left(d x + c\right)}^{2} b^{4} + {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} - 3 \, {\left(p^{2} + p\right)} {\left(d x + c\right)} a^{2} b^{2} + 6 \, \sqrt{d x + c} a^{3} b p - 6 \, a^{4}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p}}{{\left(p^{4} + 10 \, p^{3} + 35 \, p^{2} + 50 \, p + 24\right)} b^{4}}\right)}}{d^{2}}"," ",0,"-2*(((d*x + c)*b^2*(p + 1) + sqrt(d*x + c)*a*b*p - a^2)*(sqrt(d*x + c)*b + a)^p*c/((p^2 + 3*p + 2)*b^2) - ((p^3 + 6*p^2 + 11*p + 6)*(d*x + c)^2*b^4 + (p^3 + 3*p^2 + 2*p)*(d*x + c)^(3/2)*a*b^3 - 3*(p^2 + p)*(d*x + c)*a^2*b^2 + 6*sqrt(d*x + c)*a^3*b*p - 6*a^4)*(sqrt(d*x + c)*b + a)^p/((p^4 + 10*p^3 + 35*p^2 + 50*p + 24)*b^4))/d^2","A",0
656,1,60,0,0.932814," ","integrate((a+b*(d*x+c)^(1/2))^p,x, algorithm=""maxima"")","\frac{2 \, {\left({\left(d x + c\right)} b^{2} {\left(p + 1\right)} + \sqrt{d x + c} a b p - a^{2}\right)} {\left(\sqrt{d x + c} b + a\right)}^{p}}{{\left(p^{2} + 3 \, p + 2\right)} b^{2} d}"," ",0,"2*((d*x + c)*b^2*(p + 1) + sqrt(d*x + c)*a*b*p - a^2)*(sqrt(d*x + c)*b + a)^p/((p^2 + 3*p + 2)*b^2*d)","A",0
657,0,0,0,0.000000," ","integrate((a+b*(d*x+c)^(1/2))^p/x,x, algorithm=""maxima"")","\int \frac{{\left(\sqrt{d x + c} b + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((sqrt(d*x + c)*b + a)^p/x, x)","F",0
658,0,0,0,0.000000," ","integrate((a+b*(c*x)^n)^(5/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x\right)^{n} b + a\right)}^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(((c*x)^n*b + a)^(5/2)/x, x)","F",0
659,0,0,0,0.000000," ","integrate((a+b*(c*x)^n)^(3/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x\right)^{n} b + a\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(((c*x)^n*b + a)^(3/2)/x, x)","F",0
660,0,0,0,0.000000," ","integrate((a+b*(c*x)^n)^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\left(c x\right)^{n} b + a}}{x}\,{d x}"," ",0,"integrate(sqrt((c*x)^n*b + a)/x, x)","F",0
661,0,0,0,0.000000," ","integrate(1/x/(a+b*(c*x)^n)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\left(c x\right)^{n} b + a} x}\,{d x}"," ",0,"integrate(1/(sqrt((c*x)^n*b + a)*x), x)","F",0
662,0,0,0,0.000000," ","integrate(1/x/(a+b*(c*x)^n)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(\left(c x\right)^{n} b + a\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/(((c*x)^n*b + a)^(3/2)*x), x)","F",0
663,0,0,0,0.000000," ","integrate(1/x/(a+b*(c*x)^n)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(\left(c x\right)^{n} b + a\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate(1/(((c*x)^n*b + a)^(5/2)*x), x)","F",0
664,0,0,0,0.000000," ","integrate((-a+b*(c*x)^n)^(5/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x\right)^{n} b - a\right)}^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(((c*x)^n*b - a)^(5/2)/x, x)","F",0
665,0,0,0,0.000000," ","integrate((-a+b*(c*x)^n)^(3/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x\right)^{n} b - a\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(((c*x)^n*b - a)^(3/2)/x, x)","F",0
666,0,0,0,0.000000," ","integrate((-a+b*(c*x)^n)^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\left(c x\right)^{n} b - a}}{x}\,{d x}"," ",0,"integrate(sqrt((c*x)^n*b - a)/x, x)","F",0
667,0,0,0,0.000000," ","integrate(1/x/(-a+b*(c*x)^n)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\left(c x\right)^{n} b - a} x}\,{d x}"," ",0,"integrate(1/(sqrt((c*x)^n*b - a)*x), x)","F",0
668,0,0,0,0.000000," ","integrate(1/x/(-a+b*(c*x)^n)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(\left(c x\right)^{n} b - a\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/(((c*x)^n*b - a)^(3/2)*x), x)","F",0
669,0,0,0,0.000000," ","integrate(1/x/(-a+b*(c*x)^n)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(\left(c x\right)^{n} b - a\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate(1/(((c*x)^n*b - a)^(5/2)*x), x)","F",0
670,1,32,0,1.968336," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{\sqrt{a}}"," ",0,"log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/sqrt(a)","A",0
671,0,0,0,0.000000," ","integrate(1/x/(a+b*(c*x)^m)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\left(c x\right)^{m} b + a} x}\,{d x}"," ",0,"integrate(1/(sqrt((c*x)^m*b + a)*x), x)","F",0
672,0,0,0,0.000000," ","integrate(1/x/(a+b*(c*(d*x)^m)^n)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\left(\left(d x\right)^{m} c\right)^{n} b + a} x}\,{d x}"," ",0,"integrate(1/(sqrt(((d*x)^m*c)^n*b + a)*x), x)","F",0
673,0,0,0,0.000000," ","integrate(1/x/(a+b*(c*(d*(e*x)^m)^n)^p)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\left(\left(\left(e x\right)^{m} d\right)^{n} c\right)^{p} b + a} x}\,{d x}"," ",0,"integrate(1/(sqrt((((e*x)^m*d)^n*c)^p*b + a)*x), x)","F",0
674,-1,0,0,0.000000," ","integrate(1/x/(a+b*(c*(d*(e*(f*x)^m)^n)^p)^q)^(1/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
675,1,120,0,2.073859," ","integrate((x^2-1)^3*(-1+1/x^2)^(1/2)/x,x, algorithm=""maxima"")","\frac{3}{2} \, x^{2} \sqrt{\frac{1}{x^{2}} - 1} + \sqrt{\frac{1}{x^{2}} - 1} - \frac{3 \, {\left(\frac{1}{x^{2}} - 1\right)}^{\frac{5}{2}} + 8 \, {\left(\frac{1}{x^{2}} - 1\right)}^{\frac{3}{2}} - 3 \, \sqrt{\frac{1}{x^{2}} - 1}}{48 \, {\left({\left(\frac{1}{x^{2}} - 1\right)}^{3} + 3 \, {\left(\frac{1}{x^{2}} - 1\right)}^{2} + \frac{3}{x^{2}} - 2\right)}} + \frac{3 \, {\left({\left(\frac{1}{x^{2}} - 1\right)}^{\frac{3}{2}} - \sqrt{\frac{1}{x^{2}} - 1}\right)}}{8 \, {\left({\left(\frac{1}{x^{2}} - 1\right)}^{2} + \frac{2}{x^{2}} - 1\right)}} - \frac{35}{16} \, \arctan\left(\sqrt{\frac{1}{x^{2}} - 1}\right)"," ",0,"3/2*x^2*sqrt(1/x^2 - 1) + sqrt(1/x^2 - 1) - 1/48*(3*(1/x^2 - 1)^(5/2) + 8*(1/x^2 - 1)^(3/2) - 3*sqrt(1/x^2 - 1))/((1/x^2 - 1)^3 + 3*(1/x^2 - 1)^2 + 3/x^2 - 2) + 3/8*((1/x^2 - 1)^(3/2) - sqrt(1/x^2 - 1))/((1/x^2 - 1)^2 + 2/x^2 - 1) - 35/16*arctan(sqrt(1/x^2 - 1))","B",0
676,1,67,0,2.000517," ","integrate((x^2-1)^2*(-1+1/x^2)^(1/2)/x,x, algorithm=""maxima"")","-x^{2} \sqrt{\frac{1}{x^{2}} - 1} - \sqrt{\frac{1}{x^{2}} - 1} - \frac{{\left(\frac{1}{x^{2}} - 1\right)}^{\frac{3}{2}} - \sqrt{\frac{1}{x^{2}} - 1}}{8 \, {\left({\left(\frac{1}{x^{2}} - 1\right)}^{2} + \frac{2}{x^{2}} - 1\right)}} + \frac{15}{8} \, \arctan\left(\sqrt{\frac{1}{x^{2}} - 1}\right)"," ",0,"-x^2*sqrt(1/x^2 - 1) - sqrt(1/x^2 - 1) - 1/8*((1/x^2 - 1)^(3/2) - sqrt(1/x^2 - 1))/((1/x^2 - 1)^2 + 2/x^2 - 1) + 15/8*arctan(sqrt(1/x^2 - 1))","A",0
677,1,30,0,1.988065," ","integrate((x^2-1)*(-1+1/x^2)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \sqrt{\frac{1}{x^{2}} - 1} + \sqrt{\frac{1}{x^{2}} - 1} - \frac{3}{2} \, \arctan\left(\sqrt{\frac{1}{x^{2}} - 1}\right)"," ",0,"1/2*x^2*sqrt(1/x^2 - 1) + sqrt(1/x^2 - 1) - 3/2*arctan(sqrt(1/x^2 - 1))","A",0
678,1,16,0,0.579300," ","integrate((-1+1/x^2)^(1/2)/x/(x^2-1),x, algorithm=""maxima"")","\frac{\sqrt{x + 1} \sqrt{-x + 1}}{x}"," ",0,"sqrt(x + 1)*sqrt(-x + 1)/x","B",0
679,1,30,0,0.726985," ","integrate((-1+1/x^2)^(1/2)/x/(x^2-1)^2,x, algorithm=""maxima"")","-\frac{{\left(2 \, x^{2} - 1\right)} \sqrt{x + 1} \sqrt{-x + 1}}{x^{3} - x}"," ",0,"-(2*x^2 - 1)*sqrt(x + 1)*sqrt(-x + 1)/(x^3 - x)","A",0
680,1,38,0,0.641127," ","integrate((-1+1/x^2)^(1/2)/x/(x^2-1)^3,x, algorithm=""maxima"")","\frac{{\left(8 \, x^{4} - 12 \, x^{2} + 3\right)} \sqrt{x + 1} \sqrt{-x + 1}}{3 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}"," ",0,"1/3*(8*x^4 - 12*x^2 + 3)*sqrt(x + 1)*sqrt(-x + 1)/(x^5 - 2*x^3 + x)","A",0
681,1,11,0,1.397074," ","integrate(x*(1+1/x^2)^(1/2)/(x^2+1)^2,x, algorithm=""maxima"")","\frac{1}{\sqrt{\frac{x^{2} + 1}{x^{2}}}}"," ",0,"1/sqrt((x^2 + 1)/x^2)","A",0
682,0,0,0,0.000000," ","integrate(1/x/(x^2+1)/(1+1/x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 1\right)} x \sqrt{\frac{1}{x^{2}} + 1}}\,{d x}"," ",0,"integrate(1/((x^2 + 1)*x*sqrt(1/x^2 + 1)), x)","F",0
683,1,16,0,0.570549," ","integrate(x/(a+b*x^2+(b*x^2+a)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{b x^{2} + a} + 1\right)}{b}"," ",0,"log(sqrt(b*x^2 + a) + 1)/b","A",0
684,1,21,0,0.637620," ","integrate(x/(x^2-(x^2)^(1/3)),x, algorithm=""maxima"")","\frac{3}{4} \, \log\left({\left(x^{2}\right)}^{\frac{1}{3}} + 1\right) + \frac{3}{4} \, \log\left({\left(x^{2}\right)}^{\frac{1}{3}} - 1\right)"," ",0,"3/4*log((x^2)^(1/3) + 1) + 3/4*log((x^2)^(1/3) - 1)","A",0
685,1,49,0,1.468895," ","integrate(x*(x^2+1)^3*(x^4+2*x^2+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{10} \, {\left(x^{4} + 2 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{4} + \frac{1}{5} \, {\left(x^{4} + 2 \, x^{2} + 2\right)}^{\frac{3}{2}} x^{2} + \frac{1}{30} \, {\left(x^{4} + 2 \, x^{2} + 2\right)}^{\frac{3}{2}}"," ",0,"1/10*(x^4 + 2*x^2 + 2)^(3/2)*x^4 + 1/5*(x^4 + 2*x^2 + 2)^(3/2)*x^2 + 1/30*(x^4 + 2*x^2 + 2)^(3/2)","A",0
686,1,89,0,1.544927," ","integrate(x^5*(x^9+1)^2*(-x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{51} \, {\left(-x^{3} + 1\right)}^{\frac{17}{2}} - \frac{14}{45} \, {\left(-x^{3} + 1\right)}^{\frac{15}{2}} + \frac{14}{13} \, {\left(-x^{3} + 1\right)}^{\frac{13}{2}} - \frac{74}{33} \, {\left(-x^{3} + 1\right)}^{\frac{11}{2}} + \frac{86}{27} \, {\left(-x^{3} + 1\right)}^{\frac{9}{2}} - \frac{22}{7} \, {\left(-x^{3} + 1\right)}^{\frac{7}{2}} + \frac{32}{15} \, {\left(-x^{3} + 1\right)}^{\frac{5}{2}} - \frac{8}{9} \, {\left(-x^{3} + 1\right)}^{\frac{3}{2}}"," ",0,"2/51*(-x^3 + 1)^(17/2) - 14/45*(-x^3 + 1)^(15/2) + 14/13*(-x^3 + 1)^(13/2) - 74/33*(-x^3 + 1)^(11/2) + 86/27*(-x^3 + 1)^(9/2) - 22/7*(-x^3 + 1)^(7/2) + 32/15*(-x^3 + 1)^(5/2) - 8/9*(-x^3 + 1)^(3/2)","A",0
687,-2,0,0,0.000000," ","integrate(x/(b*x^2+a)^(3/2)+x/(x^2+1)/(b*x^2+a)^(1/2),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-4*b>0)', see `assume?` for more details)Is 4*a-4*b positive or negative?","F(-2)",0
688,-2,0,0,0.000000," ","integrate(x*(b*x^2+x^2+a+1)/(x^2+1)/(b*x^2+a)^(3/2),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-4*b>0)', see `assume?` for more details)Is 4*a-4*b positive or negative?","F(-2)",0
689,-2,0,0,0.000000," ","integrate(x/(b*x^2+a)^(5/2)+x/(b*x^2+a)^(3/2)+x/(x^2+1)/(b*x^2+a)^(1/2),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-4*b>0)', see `assume?` for more details)Is 4*a-4*b positive or negative?","F(-2)",0
690,-2,0,0,0.000000," ","integrate(x*(b^2*x^4+b*x^4+2*a*b*x^2+a*x^2+b*x^2+a^2+x^2+a+1)/(x^2+1)/(b*x^2+a)^(5/2),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-4*b>0)', see `assume?` for more details)Is 4*a-4*b positive or negative?","F(-2)",0
691,0,0,0,0.000000," ","integrate(1/(x+x^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + \sqrt{x}}}\,{d x}"," ",0,"integrate(1/sqrt(x + sqrt(x)), x)","F",0
692,0,0,0,0.000000," ","integrate((x+x^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + \sqrt{x}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x)), x)","F",0
693,1,13,0,0.674552," ","integrate((-x)^(1/2)*(x+(-x)^(1/2)),x, algorithm=""maxima"")","\frac{2}{5} \, \left(-x\right)^{\frac{5}{2}} - \frac{1}{2} \, x^{2}"," ",0,"2/5*(-x)^(5/2) - 1/2*x^2","A",0
694,1,67,0,1.330912," ","integrate((5+x^(1/4))/(-6+x),x, algorithm=""maxima"")","-2 \cdot 6^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 6^{\frac{3}{4}} x^{\frac{1}{4}}\right) + 6^{\frac{1}{4}} \log\left(-\frac{6^{\frac{1}{4}} - x^{\frac{1}{4}}}{6^{\frac{1}{4}} + x^{\frac{1}{4}}}\right) + 4 \, x^{\frac{1}{4}} + 5 \, \log\left(\sqrt{6} + \sqrt{x}\right) + 5 \, \log\left(-\sqrt{6} + \sqrt{x}\right)"," ",0,"-2*6^(1/4)*arctan(1/6*6^(3/4)*x^(1/4)) + 6^(1/4)*log(-(6^(1/4) - x^(1/4))/(6^(1/4) + x^(1/4))) + 4*x^(1/4) + 5*log(sqrt(6) + sqrt(x)) + 5*log(-sqrt(6) + sqrt(x))","A",0
695,1,12,0,0.656907," ","integrate(1/(4-x+(4-x)^(1/2)),x, algorithm=""maxima"")","-2 \, \log\left(\sqrt{-x + 4} + 1\right)"," ",0,"-2*log(sqrt(-x + 4) + 1)","A",0
696,1,46,0,1.483153," ","integrate(1/(1+x-(2+x)^(1/2)),x, algorithm=""maxima"")","\frac{1}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, \sqrt{x + 2} + 1}{\sqrt{5} + 2 \, \sqrt{x + 2} - 1}\right) + \log\left(x - \sqrt{x + 2} + 1\right)"," ",0,"1/5*sqrt(5)*log(-(sqrt(5) - 2*sqrt(x + 2) + 1)/(sqrt(5) + 2*sqrt(x + 2) - 1)) + log(x - sqrt(x + 2) + 1)","A",0
697,1,30,0,1.726380," ","integrate(1/(4+x+(1+x)^(1/2)),x, algorithm=""maxima"")","-\frac{2}{11} \, \sqrt{11} \arctan\left(\frac{1}{11} \, \sqrt{11} {\left(2 \, \sqrt{x + 1} + 1\right)}\right) + \log\left(x + \sqrt{x + 1} + 4\right)"," ",0,"-2/11*sqrt(11)*arctan(1/11*sqrt(11)*(2*sqrt(x + 1) + 1)) + log(x + sqrt(x + 1) + 4)","A",0
698,1,45,0,1.510515," ","integrate(1/(x-(1+x)^(1/2)),x, algorithm=""maxima"")","\frac{1}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, \sqrt{x + 1} + 1}{\sqrt{5} + 2 \, \sqrt{x + 1} - 1}\right) + \log\left(x - \sqrt{x + 1}\right)"," ",0,"1/5*sqrt(5)*log(-(sqrt(5) - 2*sqrt(x + 1) + 1)/(sqrt(5) + 2*sqrt(x + 1) - 1)) + log(x - sqrt(x + 1))","A",0
699,1,21,0,0.590738," ","integrate(1/(x-(2+x)^(1/2)),x, algorithm=""maxima"")","\frac{2}{3} \, \log\left(\sqrt{x + 2} + 1\right) + \frac{4}{3} \, \log\left(\sqrt{x + 2} - 2\right)"," ",0,"2/3*log(sqrt(x + 2) + 1) + 4/3*log(sqrt(x + 2) - 2)","A",0
700,1,51,0,1.318199," ","integrate(1/(x-(1-x)^(1/2)),x, algorithm=""maxima"")","-\frac{1}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, \sqrt{-x + 1} - 1}{\sqrt{5} + 2 \, \sqrt{-x + 1} + 1}\right) + \log\left(-x + \sqrt{-x + 1}\right)"," ",0,"-1/5*sqrt(5)*log(-(sqrt(5) - 2*sqrt(-x + 1) - 1)/(sqrt(5) + 2*sqrt(-x + 1) + 1)) + log(-x + sqrt(-x + 1))","A",0
701,0,0,0,0.000000," ","integrate((1+x+x^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + \sqrt{x} + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x) + 1), x)","F",0
702,0,0,0,0.000000," ","integrate((1+x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + \sqrt{x + 1} + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1) + 1), x)","F",0
703,0,0,0,0.000000," ","integrate((x+(-1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + \sqrt{x - 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x - 1)), x)","F",0
704,0,0,0,0.000000," ","integrate((2*x+(-1+2*x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{2 \, x + \sqrt{2 \, x - 1}}\,{d x}"," ",0,"integrate(sqrt(2*x + sqrt(2*x - 1)), x)","F",0
705,0,0,0,0.000000," ","integrate((3*x+(-7+8*x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{3 \, x + \sqrt{8 \, x - 7}}\,{d x}"," ",0,"integrate(sqrt(3*x + sqrt(8*x - 7)), x)","F",0
706,0,0,0,0.000000," ","integrate(1/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate(1/sqrt(x + sqrt(x + 1)), x)","F",0
707,1,49,0,2.239264," ","integrate((1+x)/(4+x+(-9+6*x)^(1/2)),x, algorithm=""maxima"")","4 \, \sqrt{6} \arctan\left(\frac{1}{12} \, \sqrt{6} {\left(\sqrt{6 \, x - 9} + 3\right)}\right) + x - 2 \, \sqrt{6 \, x - 9} + 3 \, \log\left(6 \, x + 6 \, \sqrt{6 \, x - 9} + 24\right) - \frac{3}{2}"," ",0,"4*sqrt(6)*arctan(1/12*sqrt(6)*(sqrt(6*x - 9) + 3)) + x - 2*sqrt(6*x - 9) + 3*log(6*x + 6*sqrt(6*x - 9) + 24) - 3/2","A",0
708,1,51,0,2.076992," ","integrate((12-x)/(4+x+(-9+6*x)^(1/2)),x, algorithm=""maxima"")","-\frac{21}{2} \, \sqrt{6} \arctan\left(\frac{1}{12} \, \sqrt{6} {\left(\sqrt{6 \, x - 9} + 3\right)}\right) - x + 2 \, \sqrt{6 \, x - 9} + 10 \, \log\left(6 \, x + 6 \, \sqrt{6 \, x - 9} + 24\right) + \frac{3}{2}"," ",0,"-21/2*sqrt(6)*arctan(1/12*sqrt(6)*(sqrt(6*x - 9) + 3)) - x + 2*sqrt(6*x - 9) + 10*log(6*x + 6*sqrt(6*x - 9) + 24) + 3/2","A",0
709,1,46,0,1.810786," ","integrate((x^3-1)/(x^2+1)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, x^{\frac{3}{2}} - \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) - \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right)"," ",0,"2/3*x^(3/2) - sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) - sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x)))","A",0
710,0,0,0,0.000000," ","integrate(1/2/(-1+x)^(1/2)/(x-(-1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \int \frac{1}{\sqrt{x - \sqrt{x - 1}} \sqrt{x - 1}}\,{d x}"," ",0,"1/2*integrate(1/(sqrt(x - sqrt(x - 1))*sqrt(x - 1)), x)","F",0
711,1,29,0,1.803810," ","integrate((1+x^(7/2))/(-x^2+1),x, algorithm=""maxima"")","-\frac{2}{5} \, x^{\frac{5}{2}} - 2 \, \sqrt{x} + \arctan\left(\sqrt{x}\right) + \frac{1}{2} \, \log\left(x + 1\right) - \log\left(\sqrt{x} - 1\right)"," ",0,"-2/5*x^(5/2) - 2*sqrt(x) + arctan(sqrt(x)) + 1/2*log(x + 1) - log(sqrt(x) - 1)","A",0
712,1,89,0,0.898642," ","integrate((4+2*x)/((-1+2*x)^(1/3)+(-1+2*x)^(1/2)),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(2 \, x - 1\right)}^{\frac{3}{2}} - \frac{3}{8} \, {\left(2 \, x - 1\right)}^{\frac{4}{3}} + \frac{3}{7} \, {\left(2 \, x - 1\right)}^{\frac{7}{6}} - x + \frac{3}{5} \, {\left(2 \, x - 1\right)}^{\frac{5}{6}} - \frac{3}{4} \, {\left(2 \, x - 1\right)}^{\frac{2}{3}} + 6 \, \sqrt{2 \, x - 1} - 9 \, {\left(2 \, x - 1\right)}^{\frac{1}{3}} + 18 \, {\left(2 \, x - 1\right)}^{\frac{1}{6}} - 18 \, \log\left({\left(2 \, x - 1\right)}^{\frac{1}{6}} + 1\right) + \frac{1}{2}"," ",0,"1/3*(2*x - 1)^(3/2) - 3/8*(2*x - 1)^(4/3) + 3/7*(2*x - 1)^(7/6) - x + 3/5*(2*x - 1)^(5/6) - 3/4*(2*x - 1)^(2/3) + 6*sqrt(2*x - 1) - 9*(2*x - 1)^(1/3) + 18*(2*x - 1)^(1/6) - 18*log((2*x - 1)^(1/6) + 1) + 1/2","A",0
713,1,53,0,0.895972," ","integrate(1/(2+(1+x^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8}{7} \, {\left(\sqrt{\sqrt{x} + 1} + 2\right)}^{\frac{7}{2}} - \frac{48}{5} \, {\left(\sqrt{\sqrt{x} + 1} + 2\right)}^{\frac{5}{2}} + \frac{88}{3} \, {\left(\sqrt{\sqrt{x} + 1} + 2\right)}^{\frac{3}{2}} - 48 \, \sqrt{\sqrt{\sqrt{x} + 1} + 2}"," ",0,"8/7*(sqrt(sqrt(x) + 1) + 2)^(7/2) - 48/5*(sqrt(sqrt(x) + 1) + 2)^(5/2) + 88/3*(sqrt(sqrt(x) + 1) + 2)^(3/2) - 48*sqrt(sqrt(sqrt(x) + 1) + 2)","A",0
714,1,40,0,0.883080," ","integrate((2+(4+x^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8}{9} \, {\left(\sqrt{\sqrt{x} + 4} + 2\right)}^{\frac{9}{2}} - \frac{48}{7} \, {\left(\sqrt{\sqrt{x} + 4} + 2\right)}^{\frac{7}{2}} + \frac{64}{5} \, {\left(\sqrt{\sqrt{x} + 4} + 2\right)}^{\frac{5}{2}}"," ",0,"8/9*(sqrt(sqrt(x) + 4) + 2)^(9/2) - 48/7*(sqrt(sqrt(x) + 4) + 2)^(7/2) + 64/5*(sqrt(sqrt(x) + 4) + 2)^(5/2)","A",0
715,1,58,0,0.874000," ","integrate((2-(4+(-9+5*x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8}{45} \, {\left(-\sqrt{\sqrt{5 \, x - 9} + 4} + 2\right)}^{\frac{9}{2}} - \frac{48}{35} \, {\left(-\sqrt{\sqrt{5 \, x - 9} + 4} + 2\right)}^{\frac{7}{2}} + \frac{64}{25} \, {\left(-\sqrt{\sqrt{5 \, x - 9} + 4} + 2\right)}^{\frac{5}{2}}"," ",0,"8/45*(-sqrt(sqrt(5*x - 9) + 4) + 2)^(9/2) - 48/35*(-sqrt(sqrt(5*x - 9) + 4) + 2)^(7/2) + 64/25*(-sqrt(sqrt(5*x - 9) + 4) + 2)^(5/2)","A",0
716,1,53,0,0.884472," ","integrate(1/(2+(1+x^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8}{7} \, {\left(\sqrt{\sqrt{x} + 1} + 2\right)}^{\frac{7}{2}} - \frac{48}{5} \, {\left(\sqrt{\sqrt{x} + 1} + 2\right)}^{\frac{5}{2}} + \frac{88}{3} \, {\left(\sqrt{\sqrt{x} + 1} + 2\right)}^{\frac{3}{2}} - 48 \, \sqrt{\sqrt{\sqrt{x} + 1} + 2}"," ",0,"8/7*(sqrt(sqrt(x) + 1) + 2)^(7/2) - 48/5*(sqrt(sqrt(x) + 1) + 2)^(5/2) + 88/3*(sqrt(sqrt(x) + 1) + 2)^(3/2) - 48*sqrt(sqrt(sqrt(x) + 1) + 2)","A",0
717,1,120,0,0.919210," ","integrate((1+(1+(1+x^(1/2))^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{16}{17} \, {\left(\sqrt{\sqrt{\sqrt{x} + 1} + 1} + 1\right)}^{\frac{17}{2}} - \frac{112}{15} \, {\left(\sqrt{\sqrt{\sqrt{x} + 1} + 1} + 1\right)}^{\frac{15}{2}} + \frac{288}{13} \, {\left(\sqrt{\sqrt{\sqrt{x} + 1} + 1} + 1\right)}^{\frac{13}{2}} - \frac{320}{11} \, {\left(\sqrt{\sqrt{\sqrt{x} + 1} + 1} + 1\right)}^{\frac{11}{2}} + \frac{112}{9} \, {\left(\sqrt{\sqrt{\sqrt{x} + 1} + 1} + 1\right)}^{\frac{9}{2}} + \frac{48}{7} \, {\left(\sqrt{\sqrt{\sqrt{x} + 1} + 1} + 1\right)}^{\frac{7}{2}} - \frac{32}{5} \, {\left(\sqrt{\sqrt{\sqrt{x} + 1} + 1} + 1\right)}^{\frac{5}{2}}"," ",0,"16/17*(sqrt(sqrt(sqrt(x) + 1) + 1) + 1)^(17/2) - 112/15*(sqrt(sqrt(sqrt(x) + 1) + 1) + 1)^(15/2) + 288/13*(sqrt(sqrt(sqrt(x) + 1) + 1) + 1)^(13/2) - 320/11*(sqrt(sqrt(sqrt(x) + 1) + 1) + 1)^(11/2) + 112/9*(sqrt(sqrt(sqrt(x) + 1) + 1) + 1)^(9/2) + 48/7*(sqrt(sqrt(sqrt(x) + 1) + 1) + 1)^(7/2) - 32/5*(sqrt(sqrt(sqrt(x) + 1) + 1) + 1)^(5/2)","A",0
718,1,153,0,0.934656," ","integrate((2+(3+(-1+2*x^(1/2))^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4}{17} \, {\left(\sqrt{\sqrt{2 \, \sqrt{x} - 1} + 3} + 2\right)}^{\frac{17}{2}} - \frac{56}{15} \, {\left(\sqrt{\sqrt{2 \, \sqrt{x} - 1} + 3} + 2\right)}^{\frac{15}{2}} + \frac{300}{13} \, {\left(\sqrt{\sqrt{2 \, \sqrt{x} - 1} + 3} + 2\right)}^{\frac{13}{2}} - \frac{760}{11} \, {\left(\sqrt{\sqrt{2 \, \sqrt{x} - 1} + 3} + 2\right)}^{\frac{11}{2}} + \frac{304}{3} \, {\left(\sqrt{\sqrt{2 \, \sqrt{x} - 1} + 3} + 2\right)}^{\frac{9}{2}} - \frac{480}{7} \, {\left(\sqrt{\sqrt{2 \, \sqrt{x} - 1} + 3} + 2\right)}^{\frac{7}{2}} + \frac{136}{5} \, {\left(\sqrt{\sqrt{2 \, \sqrt{x} - 1} + 3} + 2\right)}^{\frac{5}{2}} - \frac{16}{3} \, {\left(\sqrt{\sqrt{2 \, \sqrt{x} - 1} + 3} + 2\right)}^{\frac{3}{2}}"," ",0,"4/17*(sqrt(sqrt(2*sqrt(x) - 1) + 3) + 2)^(17/2) - 56/15*(sqrt(sqrt(2*sqrt(x) - 1) + 3) + 2)^(15/2) + 300/13*(sqrt(sqrt(2*sqrt(x) - 1) + 3) + 2)^(13/2) - 760/11*(sqrt(sqrt(2*sqrt(x) - 1) + 3) + 2)^(11/2) + 304/3*(sqrt(sqrt(2*sqrt(x) - 1) + 3) + 2)^(9/2) - 480/7*(sqrt(sqrt(2*sqrt(x) - 1) + 3) + 2)^(7/2) + 136/5*(sqrt(sqrt(2*sqrt(x) - 1) + 3) + 2)^(5/2) - 16/3*(sqrt(sqrt(2*sqrt(x) - 1) + 3) + 2)^(3/2)","A",0
719,1,106,0,0.888711," ","integrate(x*(1+(1+(-1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8}{17} \, {\left(\sqrt{\sqrt{x - 1} + 1} + 1\right)}^{\frac{17}{2}} - \frac{56}{15} \, {\left(\sqrt{\sqrt{x - 1} + 1} + 1\right)}^{\frac{15}{2}} + \frac{144}{13} \, {\left(\sqrt{\sqrt{x - 1} + 1} + 1\right)}^{\frac{13}{2}} - \frac{160}{11} \, {\left(\sqrt{\sqrt{x - 1} + 1} + 1\right)}^{\frac{11}{2}} + 8 \, {\left(\sqrt{\sqrt{x - 1} + 1} + 1\right)}^{\frac{9}{2}} - \frac{24}{7} \, {\left(\sqrt{\sqrt{x - 1} + 1} + 1\right)}^{\frac{7}{2}} + \frac{16}{5} \, {\left(\sqrt{\sqrt{x - 1} + 1} + 1\right)}^{\frac{5}{2}}"," ",0,"8/17*(sqrt(sqrt(x - 1) + 1) + 1)^(17/2) - 56/15*(sqrt(sqrt(x - 1) + 1) + 1)^(15/2) + 144/13*(sqrt(sqrt(x - 1) + 1) + 1)^(13/2) - 160/11*(sqrt(sqrt(x - 1) + 1) + 1)^(11/2) + 8*(sqrt(sqrt(x - 1) + 1) + 1)^(9/2) - 24/7*(sqrt(sqrt(x - 1) + 1) + 1)^(7/2) + 16/5*(sqrt(sqrt(x - 1) + 1) + 1)^(5/2)","A",0
720,0,0,0,0.000000," ","integrate(1/(-1+x)^(1/2)/(x-(-1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x - \sqrt{x - 1}} \sqrt{x - 1}}\,{d x}"," ",0,"integrate(1/(sqrt(x - sqrt(x - 1))*sqrt(x - 1)), x)","F",0
721,0,0,0,0.000000," ","integrate(1/(1+x+(-1+2*x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + \sqrt{2 \, x - 1} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(x + sqrt(2*x - 1) + 1), x)","F",0
722,1,58,0,0.880965," ","integrate((p*x+q)/(a*x+b)^(1/2)/(f+(a*x+b)^(1/2)),x, algorithm=""maxima"")","\frac{\frac{2 \, {\left({\left(f^{2} - b\right)} p + a q\right)} \log\left(f + \sqrt{a x + b}\right)}{a} - \frac{2 \, \sqrt{a x + b} f p - {\left(a x + b\right)} p}{a}}{a}"," ",0,"(2*((f^2 - b)*p + a*q)*log(f + sqrt(a*x + b))/a - (2*sqrt(a*x + b)*f*p - (a*x + b)*p)/a)/a","A",0
723,0,0,0,0.000000," ","integrate((1-x-x^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x - \sqrt{x} + 1}\,{d x}"," ",0,"integrate(sqrt(-x - sqrt(x) + 1), x)","F",0
724,1,15,0,0.875903," ","integrate((9+x+6*x^(1/2))/(x+4*x^(1/2)),x, algorithm=""maxima"")","x + 4 \, \sqrt{x} + 2 \, \log\left(\sqrt{x} + 4\right)"," ",0,"x + 4*sqrt(x) + 2*log(sqrt(x) + 4)","A",0
725,1,49,0,0.884863," ","integrate((6-8*x^(7/2))/(5-9*x^(1/2)),x, algorithm=""maxima"")","\frac{2}{9} \, x^{4} + \frac{80}{567} \, x^{\frac{7}{2}} + \frac{200}{2187} \, x^{3} + \frac{400}{6561} \, x^{\frac{5}{2}} + \frac{2500}{59049} \, x^{2} + \frac{50000}{1594323} \, x^{\frac{3}{2}} + \frac{125000}{4782969} \, x - \frac{56145628}{43046721} \, \sqrt{x} - \frac{280728140}{387420489} \, \log\left(9 \, \sqrt{x} - 5\right)"," ",0,"2/9*x^4 + 80/567*x^(7/2) + 200/2187*x^3 + 400/6561*x^(5/2) + 2500/59049*x^2 + 50000/1594323*x^(3/2) + 125000/4782969*x - 56145628/43046721*sqrt(x) - 280728140/387420489*log(9*sqrt(x) - 5)","A",0
726,0,0,0,0.000000," ","integrate((x^3+1)*(1+x)^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)} \sqrt{x + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate((x^3 + 1)*sqrt(x + 1)/(x^2 + 1), x)","F",0
727,0,0,0,0.000000," ","integrate((-1+x-x^(1/2))^(1/2)/(-1+x)/x^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x - \sqrt{x} - 1}}{{\left(x - 1\right)} \sqrt{x}}\,{d x}"," ",0,"integrate(sqrt(x - sqrt(x) - 1)/((x - 1)*sqrt(x)), x)","F",0
728,0,0,0,0.000000," ","integrate((1+2*(1+x)^(1/2))/x/(1+x)^(1/2)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, \sqrt{x + 1} + 1}{\sqrt{x + \sqrt{x + 1}} \sqrt{x + 1} x}\,{d x}"," ",0,"integrate((2*sqrt(x + 1) + 1)/(sqrt(x + sqrt(x + 1))*sqrt(x + 1)*x), x)","F",0
729,1,27,0,0.872378," ","integrate(1/x^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\log\left(\frac{\sqrt{x + 1}}{\sqrt{x}} + 1\right) - \log\left(\frac{\sqrt{x + 1}}{\sqrt{x}} - 1\right)"," ",0,"log(sqrt(x + 1)/sqrt(x) + 1) - log(sqrt(x + 1)/sqrt(x) - 1)","B",0
730,1,27,0,0.884263," ","integrate((x/(1+x))^(1/2)/x,x, algorithm=""maxima"")","\log\left(\sqrt{\frac{x}{x + 1}} + 1\right) - \log\left(\sqrt{\frac{x}{x + 1}} - 1\right)"," ",0,"log(sqrt(x/(x + 1)) + 1) - log(sqrt(x/(x + 1)) - 1)","B",0
731,1,49,0,0.866837," ","integrate(x^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x + 1}}{\sqrt{x} {\left(\frac{x + 1}{x} - 1\right)}} - \frac{1}{2} \, \log\left(\frac{\sqrt{x + 1}}{\sqrt{x}} + 1\right) + \frac{1}{2} \, \log\left(\frac{\sqrt{x + 1}}{\sqrt{x}} - 1\right)"," ",0,"sqrt(x + 1)/(sqrt(x)*((x + 1)/x - 1)) - 1/2*log(sqrt(x + 1)/sqrt(x) + 1) + 1/2*log(sqrt(x + 1)/sqrt(x) - 1)","B",0
732,1,51,0,0.823485," ","integrate((x/(1+x))^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{\frac{x}{x + 1}}}{\frac{x}{x + 1} - 1} - \frac{1}{2} \, \log\left(\sqrt{\frac{x}{x + 1}} + 1\right) + \frac{1}{2} \, \log\left(\sqrt{\frac{x}{x + 1}} - 1\right)"," ",0,"-sqrt(x/(x + 1))/(x/(x + 1) - 1) - 1/2*log(sqrt(x/(x + 1)) + 1) + 1/2*log(sqrt(x/(x + 1)) - 1)","B",0
733,1,20,0,1.975481," ","integrate((-1+x)^(1/2)/x^2/(1+x)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{2} - 1}}{x} - \arcsin\left(\frac{1}{{\left| x \right|}}\right)"," ",0,"-sqrt(x^2 - 1)/x - arcsin(1/abs(x))","A",0
734,1,41,0,1.945651," ","integrate(((-1+x)/(1+x))^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{\frac{x - 1}{x + 1}}}{\frac{x - 1}{x + 1} + 1} + 2 \, \arctan\left(\sqrt{\frac{x - 1}{x + 1}}\right)"," ",0,"-2*sqrt((x - 1)/(x + 1))/((x - 1)/(x + 1) + 1) + 2*arctan(sqrt((x - 1)/(x + 1)))","A",0
735,1,55,0,0.883029," ","integrate(x^3*(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(x^{2} - 1\right)}^{\frac{3}{2}} x - \frac{1}{3} \, {\left(x^{2} - 1\right)}^{\frac{3}{2}} + \frac{5}{8} \, \sqrt{x^{2} - 1} x - \sqrt{x^{2} - 1} + \frac{3}{8} \, \log\left(2 \, x + 2 \, \sqrt{x^{2} - 1}\right)"," ",0,"1/4*(x^2 - 1)^(3/2)*x - 1/3*(x^2 - 1)^(3/2) + 5/8*sqrt(x^2 - 1)*x - sqrt(x^2 - 1) + 3/8*log(2*x + 2*sqrt(x^2 - 1))","A",0
736,1,138,0,0.845838," ","integrate(x^3*((-1+x)/(1+x))^(1/2),x, algorithm=""maxima"")","-\frac{39 \, \left(\frac{x - 1}{x + 1}\right)^{\frac{7}{2}} - 31 \, \left(\frac{x - 1}{x + 1}\right)^{\frac{5}{2}} + 49 \, \left(\frac{x - 1}{x + 1}\right)^{\frac{3}{2}} - 9 \, \sqrt{\frac{x - 1}{x + 1}}}{12 \, {\left(\frac{4 \, {\left(x - 1\right)}}{x + 1} - \frac{6 \, {\left(x - 1\right)}^{2}}{{\left(x + 1\right)}^{2}} + \frac{4 \, {\left(x - 1\right)}^{3}}{{\left(x + 1\right)}^{3}} - \frac{{\left(x - 1\right)}^{4}}{{\left(x + 1\right)}^{4}} - 1\right)}} + \frac{3}{8} \, \log\left(\sqrt{\frac{x - 1}{x + 1}} + 1\right) - \frac{3}{8} \, \log\left(\sqrt{\frac{x - 1}{x + 1}} - 1\right)"," ",0,"-1/12*(39*((x - 1)/(x + 1))^(7/2) - 31*((x - 1)/(x + 1))^(5/2) + 49*((x - 1)/(x + 1))^(3/2) - 9*sqrt((x - 1)/(x + 1)))/(4*(x - 1)/(x + 1) - 6*(x - 1)^2/(x + 1)^2 + 4*(x - 1)^3/(x + 1)^3 - (x - 1)^4/(x + 1)^4 - 1) + 3/8*log(sqrt((x - 1)/(x + 1)) + 1) - 3/8*log(sqrt((x - 1)/(x + 1)) - 1)","B",0
737,1,13,0,1.947946," ","integrate((-x/(1+x))^(1/2)/x,x, algorithm=""maxima"")","2 \, \arctan\left(\sqrt{-\frac{x}{x + 1}}\right)"," ",0,"2*arctan(sqrt(-x/(x + 1)))","A",0
738,1,15,0,2.537726," ","integrate(((1-x)/(1+x))^(1/2)/(-1+x),x, algorithm=""maxima"")","2 \, \arctan\left(\sqrt{-\frac{x - 1}{x + 1}}\right)"," ",0,"2*arctan(sqrt(-(x - 1)/(x + 1)))","A",0
739,1,24,0,1.936304," ","integrate(((b*x+a)/(-b*x+c))^(1/2)/(b*x+a),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\sqrt{-\frac{b x + a}{b x - c}}\right)}{b}"," ",0,"2*arctan(sqrt(-(b*x + a)/(b*x - c)))/b","A",0
740,1,59,0,1.732595," ","integrate(((b*x+a)/(d*x+c))^(1/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{\log\left(\frac{d \sqrt{\frac{b x + a}{d x + c}} - \sqrt{b d}}{d \sqrt{\frac{b x + a}{d x + c}} + \sqrt{b d}}\right)}{\sqrt{b d}}"," ",0,"-log((d*sqrt((b*x + a)/(d*x + c)) - sqrt(b*d))/(d*sqrt((b*x + a)/(d*x + c)) + sqrt(b*d)))/sqrt(b*d)","A",0
741,1,37,0,1.800231," ","integrate((-x/(1+x))^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-\frac{x}{x + 1}}}{\frac{x}{x + 1} - 1} - \arctan\left(\sqrt{-\frac{x}{x + 1}}\right)"," ",0,"-sqrt(-x/(x + 1))/(x/(x + 1) - 1) - arctan(sqrt(-x/(x + 1)))","A",0
742,1,43,0,1.851043," ","integrate(((1-x)/(1+x))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-\frac{x - 1}{x + 1}}}{\frac{x - 1}{x + 1} - 1} - 2 \, \arctan\left(\sqrt{-\frac{x - 1}{x + 1}}\right)"," ",0,"-2*sqrt(-(x - 1)/(x + 1))/((x - 1)/(x + 1) - 1) - 2*arctan(sqrt(-(x - 1)/(x + 1)))","A",0
743,1,49,0,2.014889," ","integrate(((a+x)/(a-x))^(1/2),x, algorithm=""maxima"")","-2 \, a {\left(\frac{\sqrt{\frac{a + x}{a - x}}}{\frac{a + x}{a - x} + 1} - \arctan\left(\sqrt{\frac{a + x}{a - x}}\right)\right)}"," ",0,"-2*a*(sqrt((a + x)/(a - x))/((a + x)/(a - x) + 1) - arctan(sqrt((a + x)/(a - x))))","A",0
744,1,70,0,0.905737," ","integrate(((-a+x)/(a+x))^(1/2),x, algorithm=""maxima"")","a {\left(\frac{2 \, \sqrt{-\frac{a - x}{a + x}}}{\frac{a - x}{a + x} + 1} - \log\left(\sqrt{-\frac{a - x}{a + x}} + 1\right) + \log\left(\sqrt{-\frac{a - x}{a + x}} - 1\right)\right)}"," ",0,"a*(2*sqrt(-(a - x)/(a + x))/((a - x)/(a + x) + 1) - log(sqrt(-(a - x)/(a + x)) + 1) + log(sqrt(-(a - x)/(a + x)) - 1))","A",0
745,1,118,0,1.234556," ","integrate(((b*x+a)/(d*x+c))^(1/2),x, algorithm=""maxima"")","\frac{{\left(b c - a d\right)} \sqrt{\frac{b x + a}{d x + c}}}{b d - \frac{{\left(b x + a\right)} d^{2}}{d x + c}} + \frac{{\left(b c - a d\right)} \log\left(\frac{d \sqrt{\frac{b x + a}{d x + c}} - \sqrt{b d}}{d \sqrt{\frac{b x + a}{d x + c}} + \sqrt{b d}}\right)}{2 \, \sqrt{b d} d}"," ",0,"(b*c - a*d)*sqrt((b*x + a)/(d*x + c))/(b*d - (b*x + a)*d^2/(d*x + c)) + 1/2*(b*c - a*d)*log((d*sqrt((b*x + a)/(d*x + c)) - sqrt(b*d))/(d*sqrt((b*x + a)/(d*x + c)) + sqrt(b*d)))/(sqrt(b*d)*d)","A",0
746,1,80,0,1.394637," ","integrate(((-1+x)/(5+3*x))^(1/2),x, algorithm=""maxima"")","\frac{4}{9} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - 3 \, \sqrt{\frac{x - 1}{3 \, x + 5}}}{\sqrt{3} + 3 \, \sqrt{\frac{x - 1}{3 \, x + 5}}}\right) - \frac{8 \, \sqrt{\frac{x - 1}{3 \, x + 5}}}{3 \, {\left(\frac{3 \, {\left(x - 1\right)}}{3 \, x + 5} - 1\right)}}"," ",0,"4/9*sqrt(3)*log(-(sqrt(3) - 3*sqrt((x - 1)/(3*x + 5)))/(sqrt(3) + 3*sqrt((x - 1)/(3*x + 5)))) - 8/3*sqrt((x - 1)/(3*x + 5))/(3*(x - 1)/(3*x + 5) - 1)","B",0
747,1,53,0,1.425161," ","integrate(((-1+5*x)/(1+7*x))^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{12 \, \sqrt{\frac{5 \, x - 1}{7 \, x + 1}}}{\frac{5 \, x - 1}{7 \, x + 1} + 1} + 12 \, \arctan\left(\sqrt{\frac{5 \, x - 1}{7 \, x + 1}}\right)"," ",0,"-12*sqrt((5*x - 1)/(7*x + 1))/((5*x - 1)/(7*x + 1) + 1) + 12*arctan(sqrt((5*x - 1)/(7*x + 1)))","A",0
748,1,27,0,0.611480," ","integrate(x/(1+x)/((1-x)/(1+x))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{-\frac{x - 1}{x + 1}}}{\frac{x - 1}{x + 1} - 1}"," ",0,"2*sqrt(-(x - 1)/(x + 1))/((x - 1)/(x + 1) - 1)","A",0
749,1,16,0,0.610475," ","integrate(x/(1+x)/(-1+2/(1+x))^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x + 1} {\left(x - 1\right)}}{\sqrt{-x + 1}}"," ",0,"sqrt(x + 1)*(x - 1)/sqrt(-x + 1)","A",0
750,1,103,0,1.219434," ","integrate(x/(1+x)/((2+x)/(3+x))^(1/2),x, algorithm=""maxima"")","-\sqrt{2} \log\left(-\frac{\sqrt{2} - 2 \, \sqrt{\frac{x + 2}{x + 3}}}{\sqrt{2} + 2 \, \sqrt{\frac{x + 2}{x + 3}}}\right) - \frac{\sqrt{\frac{x + 2}{x + 3}}}{\frac{x + 2}{x + 3} - 1} - \frac{1}{2} \, \log\left(\sqrt{\frac{x + 2}{x + 3}} + 1\right) + \frac{1}{2} \, \log\left(\sqrt{\frac{x + 2}{x + 3}} - 1\right)"," ",0,"-sqrt(2)*log(-(sqrt(2) - 2*sqrt((x + 2)/(x + 3)))/(sqrt(2) + 2*sqrt((x + 2)/(x + 3)))) - sqrt((x + 2)/(x + 3))/((x + 2)/(x + 3) - 1) - 1/2*log(sqrt((x + 2)/(x + 3)) + 1) + 1/2*log(sqrt((x + 2)/(x + 3)) - 1)","B",0
751,0,0,0,0.000000," ","integrate((1+1/x)^(1/2)/(1+x)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{1}{x} + 1}}{{\left(x + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(1/x + 1)/(x + 1)^2, x)","F",0
752,0,0,0,0.000000," ","integrate((1+1/x)^(1/2)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{1}{x} + 1}}{\sqrt{-x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(1/x + 1)/sqrt(-x^2 + 1), x)","F",0
753,0,0,0,0.000000," ","integrate(1/(x+(-x^2-2*x+3)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x + \sqrt{-x^{2} - 2 \, x + 3}}\,{d x}"," ",0,"integrate(1/(x + sqrt(-x^2 - 2*x + 3)), x)","F",0
754,0,0,0,0.000000," ","integrate(1/(x+(-x^2-2*x+3)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(x + \sqrt{-x^{2} - 2 \, x + 3}\right)}^{2}}\,{d x}"," ",0,"integrate((x + sqrt(-x^2 - 2*x + 3))^(-2), x)","F",0
755,0,0,0,0.000000," ","integrate(1/(x+(-x^2-2*x+3)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(x + \sqrt{-x^{2} - 2 \, x + 3}\right)}^{3}}\,{d x}"," ",0,"integrate((x + sqrt(-x^2 - 2*x + 3))^(-3), x)","F",0
756,0,0,0,0.000000," ","integrate(1/(x+(x^2-2*x-3)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x + \sqrt{x^{2} - 2 \, x - 3}}\,{d x}"," ",0,"integrate(1/(x + sqrt(x^2 - 2*x - 3)), x)","F",0
757,0,0,0,0.000000," ","integrate(1/(x+(x^2-2*x-3)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(x + \sqrt{x^{2} - 2 \, x - 3}\right)}^{2}}\,{d x}"," ",0,"integrate((x + sqrt(x^2 - 2*x - 3))^(-2), x)","F",0
758,0,0,0,0.000000," ","integrate(1/(x+(x^2-2*x-3)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(x + \sqrt{x^{2} - 2 \, x - 3}\right)}^{3}}\,{d x}"," ",0,"integrate((x + sqrt(x^2 - 2*x - 3))^(-3), x)","F",0
759,0,0,0,0.000000," ","integrate(1/(x+(-x^2-4*x-3)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x + \sqrt{-x^{2} - 4 \, x - 3}}\,{d x}"," ",0,"integrate(1/(x + sqrt(-x^2 - 4*x - 3)), x)","F",0
760,0,0,0,0.000000," ","integrate(1/(x+(-x^2-4*x-3)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(x + \sqrt{-x^{2} - 4 \, x - 3}\right)}^{2}}\,{d x}"," ",0,"integrate((x + sqrt(-x^2 - 4*x - 3))^(-2), x)","F",0
761,0,0,0,0.000000," ","integrate(1/(x+(-x^2-4*x-3)^(1/2))^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(x + \sqrt{-x^{2} - 4 \, x - 3}\right)}^{3}}\,{d x}"," ",0,"integrate((x + sqrt(-x^2 - 4*x - 3))^(-3), x)","F",0
762,1,59,0,0.831684," ","integrate(x^3*(1+x)^3*(1+2*x)*(-x^4-2*x^3-x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{15} \, {\left(3 \, x^{8} + 12 \, x^{7} + 18 \, x^{6} + 12 \, x^{5} + 2 \, x^{4} - 2 \, x^{3} - x^{2} - 2\right)} \sqrt{x^{2} + x + 1} \sqrt{-x^{2} - x + 1}"," ",0,"1/15*(3*x^8 + 12*x^7 + 18*x^6 + 12*x^5 + 2*x^4 - 2*x^3 - x^2 - 2)*sqrt(x^2 + x + 1)*sqrt(-x^2 - x + 1)","A",0
763,1,59,0,1.039090," ","integrate((1+2*x)*(x^2+x)^3*(1-(x^2+x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{15} \, {\left(3 \, x^{8} + 12 \, x^{7} + 18 \, x^{6} + 12 \, x^{5} + 2 \, x^{4} - 2 \, x^{3} - x^{2} - 2\right)} \sqrt{x^{2} + x + 1} \sqrt{-x^{2} - x + 1}"," ",0,"1/15*(3*x^8 + 12*x^7 + 18*x^6 + 12*x^5 + 2*x^4 - 2*x^3 - x^2 - 2)*sqrt(x^2 + x + 1)*sqrt(-x^2 - x + 1)","A",0
764,0,0,0,0.000000," ","integrate((-x^4+4*x^3-8*x^2+8*x)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + 8 \, x\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((-x^4 + 4*x^3 - 8*x^2 + 8*x)^(3/2), x)","F",0
765,0,0,0,0.000000," ","integrate((-x^4+4*x^3-8*x^2+8*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + 4 \, x^{3} - 8 \, x^{2} + 8 \, x}\,{d x}"," ",0,"integrate(sqrt(-x^4 + 4*x^3 - 8*x^2 + 8*x), x)","F",0
766,0,0,0,0.000000," ","integrate(1/(-x^4+4*x^3-8*x^2+8*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 4 \, x^{3} - 8 \, x^{2} + 8 \, x}}\,{d x}"," ",0,"integrate(1/sqrt(-x^4 + 4*x^3 - 8*x^2 + 8*x), x)","F",0
767,0,0,0,0.000000," ","integrate(1/(-x^4+4*x^3-8*x^2+8*x)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + 8 \, x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-x^4 + 4*x^3 - 8*x^2 + 8*x)^(-3/2), x)","F",0
768,0,0,0,0.000000," ","integrate(1/(-x^4+4*x^3-8*x^2+8*x)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + 8 \, x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-x^4 + 4*x^3 - 8*x^2 + 8*x)^(-5/2), x)","F",0
769,0,0,0,0.000000," ","integrate(((2-x)*x*(x^2-2*x+4))^(3/2),x, algorithm=""maxima"")","\int \left(-{\left(x^{2} - 2 \, x + 4\right)} {\left(x - 2\right)} x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((-(x^2 - 2*x + 4)*(x - 2)*x)^(3/2), x)","F",0
770,0,0,0,0.000000," ","integrate(((2-x)*x*(x^2-2*x+4))^(1/2),x, algorithm=""maxima"")","\int \sqrt{-{\left(x^{2} - 2 \, x + 4\right)} {\left(x - 2\right)} x}\,{d x}"," ",0,"integrate(sqrt(-(x^2 - 2*x + 4)*(x - 2)*x), x)","F",0
771,0,0,0,0.000000," ","integrate(1/((2-x)*x*(x^2-2*x+4))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-{\left(x^{2} - 2 \, x + 4\right)} {\left(x - 2\right)} x}}\,{d x}"," ",0,"integrate(1/sqrt(-(x^2 - 2*x + 4)*(x - 2)*x), x)","F",0
772,0,0,0,0.000000," ","integrate(1/((2-x)*x*(x^2-2*x+4))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(-{\left(x^{2} - 2 \, x + 4\right)} {\left(x - 2\right)} x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-(x^2 - 2*x + 4)*(x - 2)*x)^(-3/2), x)","F",0
773,0,0,0,0.000000," ","integrate(1/((2-x)*x*(x^2-2*x+4))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\left(-{\left(x^{2} - 2 \, x + 4\right)} {\left(x - 2\right)} x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-(x^2 - 2*x + 4)*(x - 2)*x)^(-5/2), x)","F",0
774,0,0,0,0.000000," ","integrate((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^(3/2),x, algorithm=""maxima"")","\int {\left(d^{2} x^{4} + 4 \, c d x^{3} + 4 \, c^{2} x^{2} + 4 \, a c\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d^2*x^4 + 4*c*d*x^3 + 4*c^2*x^2 + 4*a*c)^(3/2), x)","F",0
775,0,0,0,0.000000," ","integrate((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^(1/2),x, algorithm=""maxima"")","\int \sqrt{d^{2} x^{4} + 4 \, c d x^{3} + 4 \, c^{2} x^{2} + 4 \, a c}\,{d x}"," ",0,"integrate(sqrt(d^2*x^4 + 4*c*d*x^3 + 4*c^2*x^2 + 4*a*c), x)","F",0
776,0,0,0,0.000000," ","integrate(1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d^{2} x^{4} + 4 \, c d x^{3} + 4 \, c^{2} x^{2} + 4 \, a c}}\,{d x}"," ",0,"integrate(1/sqrt(d^2*x^4 + 4*c*d*x^3 + 4*c^2*x^2 + 4*a*c), x)","F",0
777,0,0,0,0.000000," ","integrate(1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d^{2} x^{4} + 4 \, c d x^{3} + 4 \, c^{2} x^{2} + 4 \, a c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d^2*x^4 + 4*c*d*x^3 + 4*c^2*x^2 + 4*a*c)^(-3/2), x)","F",0
778,0,0,0,0.000000," ","integrate((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{8 \, e^{3} x^{4} + 8 \, d e^{2} x^{3} - d^{3} x + 8 \, a e^{2}}\,{d x}"," ",0,"integrate(sqrt(8*e^3*x^4 + 8*d*e^2*x^3 - d^3*x + 8*a*e^2), x)","F",0
779,0,0,0,0.000000," ","integrate(1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{8 \, e^{3} x^{4} + 8 \, d e^{2} x^{3} - d^{3} x + 8 \, a e^{2}}}\,{d x}"," ",0,"integrate(1/sqrt(8*e^3*x^4 + 8*d*e^2*x^3 - d^3*x + 8*a*e^2), x)","F",0
780,0,0,0,0.000000," ","integrate(1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(8 \, e^{3} x^{4} + 8 \, d e^{2} x^{3} - d^{3} x + 8 \, a e^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((8*e^3*x^4 + 8*d*e^2*x^3 - d^3*x + 8*a*e^2)^(-3/2), x)","F",0
781,0,0,0,0.000000," ","integrate((-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((-x^4 + 4*x^3 - 8*x^2 + a + 8*x)^(3/2), x)","F",0
782,0,0,0,0.000000," ","integrate((-x^4+4*x^3-8*x^2+a+8*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x}\,{d x}"," ",0,"integrate(sqrt(-x^4 + 4*x^3 - 8*x^2 + a + 8*x), x)","F",0
783,0,0,0,0.000000," ","integrate(1/(-x^4+4*x^3-8*x^2+a+8*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x}}\,{d x}"," ",0,"integrate(1/sqrt(-x^4 + 4*x^3 - 8*x^2 + a + 8*x), x)","F",0
784,0,0,0,0.000000," ","integrate(1/(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-x^4 + 4*x^3 - 8*x^2 + a + 8*x)^(-3/2), x)","F",0
785,0,0,0,0.000000," ","integrate(1/(-x^4+4*x^3-8*x^2+a+8*x)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-x^4 + 4*x^3 - 8*x^2 + a + 8*x)^(-5/2), x)","F",0
786,0,0,0,0.000000," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((-x^4 + 4*x^3 - 8*x^2 + a + 8*x)^(3/2)*x, x)","F",0
787,0,0,0,0.000000," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x} x\,{d x}"," ",0,"integrate(sqrt(-x^4 + 4*x^3 - 8*x^2 + a + 8*x)*x, x)","F",0
788,0,0,0,0.000000," ","integrate(x/(-x^4+4*x^3-8*x^2+a+8*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x}}\,{d x}"," ",0,"integrate(x/sqrt(-x^4 + 4*x^3 - 8*x^2 + a + 8*x), x)","F",0
789,0,0,0,0.000000," ","integrate(x/(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(-x^4 + 4*x^3 - 8*x^2 + a + 8*x)^(3/2), x)","F",0
790,0,0,0,0.000000," ","integrate(x/(-x^4+4*x^3-8*x^2+a+8*x)^(5/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x/(-x^4 + 4*x^3 - 8*x^2 + a + 8*x)^(5/2), x)","F",0
791,0,0,0,0.000000," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x\right)}^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((-x^4 + 4*x^3 - 8*x^2 + a + 8*x)^(3/2)*x^2, x)","F",0
792,0,0,0,0.000000," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x} x^{2}\,{d x}"," ",0,"integrate(sqrt(-x^4 + 4*x^3 - 8*x^2 + a + 8*x)*x^2, x)","F",0
793,0,0,0,0.000000," ","integrate(x^2/(-x^4+4*x^3-8*x^2+a+8*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x}}\,{d x}"," ",0,"integrate(x^2/sqrt(-x^4 + 4*x^3 - 8*x^2 + a + 8*x), x)","F",0
794,0,0,0,0.000000," ","integrate(x^2/(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(-x^4 + 4*x^3 - 8*x^2 + a + 8*x)^(3/2), x)","F",0
795,0,0,0,0.000000," ","integrate(x^2/(-x^4+4*x^3-8*x^2+a+8*x)^(5/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-x^{4} + 4 \, x^{3} - 8 \, x^{2} + a + 8 \, x\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^2/(-x^4 + 4*x^3 - 8*x^2 + a + 8*x)^(5/2), x)","F",0
796,0,0,0,0.000000," ","integrate(1/(8*x^4-x^3+8*x+8)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{8 \, x^{4} - x^{3} + 8 \, x + 8}}\,{d x}"," ",0,"integrate(1/sqrt(8*x^4 - x^3 + 8*x + 8), x)","F",0
797,0,0,0,0.000000," ","integrate(1/(8*x^4-x^3+8*x+8)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((8*x^4 - x^3 + 8*x + 8)^(-3/2), x)","F",0
798,0,0,0,0.000000," ","integrate(1/(4*x^4+4*x^2+4*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1}}\,{d x}"," ",0,"integrate(1/sqrt(4*x^4 + 4*x^2 + 4*x + 1), x)","F",0
799,0,0,0,0.000000," ","integrate(1/(4*x^4+4*x^2+4*x+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((4*x^4 + 4*x^2 + 4*x + 1)^(-3/2), x)","F",0
800,0,0,0,0.000000," ","integrate(1/(8*x^4-15*x^3+8*x^2+24*x+8)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{8 \, x^{4} - 15 \, x^{3} + 8 \, x^{2} + 24 \, x + 8}}\,{d x}"," ",0,"integrate(1/sqrt(8*x^4 - 15*x^3 + 8*x^2 + 24*x + 8), x)","F",0
801,0,0,0,0.000000," ","integrate(1/(8*x^4-15*x^3+8*x^2+24*x+8)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(8 \, x^{4} - 15 \, x^{3} + 8 \, x^{2} + 24 \, x + 8\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((8*x^4 - 15*x^3 + 8*x^2 + 24*x + 8)^(-3/2), x)","F",0
802,0,0,0,0.000000," ","integrate(1/(8*x^4-15*x^3+8*x^2+24*x+8)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(8 \, x^{4} - 15 \, x^{3} + 8 \, x^{2} + 24 \, x + 8\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((8*x^4 - 15*x^3 + 8*x^2 + 24*x + 8)^(-5/2), x)","F",0
803,0,0,0,0.000000," ","integrate(1/(3*x^4+15*x^3-44*x^2-6*x+9)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{3 \, x^{4} + 15 \, x^{3} - 44 \, x^{2} - 6 \, x + 9}}\,{d x}"," ",0,"integrate(1/sqrt(3*x^4 + 15*x^3 - 44*x^2 - 6*x + 9), x)","F",0
804,0,0,0,0.000000," ","integrate(1/(3*x^4+15*x^3-44*x^2-6*x+9)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{4} + 15 \, x^{3} - 44 \, x^{2} - 6 \, x + 9\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x^4 + 15*x^3 - 44*x^2 - 6*x + 9)^(-3/2), x)","F",0
805,1,57,0,0.963710," ","integrate((2*(3-x)^(1/2)+3/(1+x)^(1/2))^2/x,x, algorithm=""maxima"")","-12 \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{-x^{2} + 2 \, x + 3}}{{\left| x \right|}} + \frac{6}{{\left| x \right|}} + 2\right) - 4 \, x + 12 \, \arcsin\left(-\frac{1}{2} \, x + \frac{1}{2}\right) - 9 \, \log\left(x + 1\right) + 21 \, \log\left(x\right)"," ",0,"-12*sqrt(3)*log(2*sqrt(3)*sqrt(-x^2 + 2*x + 3)/abs(x) + 6/abs(x) + 2) - 4*x + 12*arcsin(-1/2*x + 1/2) - 9*log(x + 1) + 21*log(x)","A",0
806,0,0,0,0.000000," ","integrate((x^2+x-1)/((x^2+1)^(1/2)+1),x, algorithm=""maxima"")","2 \, x - 5 \, \arctan\left(\frac{1}{2} \, x\right) + \int \frac{x^{6} + x^{5} - x^{4}}{3 \, x^{4} + 16 \, x^{2} + {\left(x^{4} + 8 \, x^{2} + 16\right)} \sqrt{x^{2} + 1} + 16}\,{d x} + \log\left(x^{2} + 4\right)"," ",0,"2*x - 5*arctan(1/2*x) + integrate((x^6 + x^5 - x^4)/(3*x^4 + 16*x^2 + (x^4 + 8*x^2 + 16)*sqrt(x^2 + 1) + 16), x) + log(x^2 + 4)","F",0
807,0,0,0,0.000000," ","integrate((x^2+x-1)/(1+x+(x^2+1)^(1/2)),x, algorithm=""maxima"")","\frac{1}{4} \, x^{2} - \frac{3}{56} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(4 \, x + 3\right)}\right) + \frac{1}{4} \, x + \int \frac{x^{4} + x^{3} - x^{2}}{4 \, x^{5} + 12 \, x^{4} + 19 \, x^{3} + 19 \, x^{2} + {\left(4 \, x^{4} + 12 \, x^{3} + 17 \, x^{2} + 12 \, x + 4\right)} \sqrt{x^{2} + 1} + 12 \, x + 4}\,{d x} - \frac{7}{16} \, \log\left(2 \, x^{2} + 3 \, x + 2\right)"," ",0,"1/4*x^2 - 3/56*sqrt(7)*arctan(1/7*sqrt(7)*(4*x + 3)) + 1/4*x + integrate((x^4 + x^3 - x^2)/(4*x^5 + 12*x^4 + 19*x^3 + 19*x^2 + (4*x^4 + 12*x^3 + 17*x^2 + 12*x + 4)*sqrt(x^2 + 1) + 12*x + 4), x) - 7/16*log(2*x^2 + 3*x + 2)","F",0
808,1,12,0,0.982043," ","integrate((x+2*(-1+x)^(1/2))/x/(-1+x)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x - 1} + 2 \, \log\left(x\right)"," ",0,"2*sqrt(x - 1) + 2*log(x)","A",0
809,1,45,0,0.437894," ","integrate((a+b*x^(2/3)+c*x^(1/2))^2,x, algorithm=""maxima"")","\frac{3}{7} \, b^{2} x^{\frac{7}{3}} + \frac{12}{13} \, b c x^{\frac{13}{6}} + \frac{1}{2} \, c^{2} x^{2} + a^{2} x + \frac{2}{15} \, {\left(9 \, b x^{\frac{5}{3}} + 10 \, c x^{\frac{3}{2}}\right)} a"," ",0,"3/7*b^2*x^(7/3) + 12/13*b*c*x^(13/6) + 1/2*c^2*x^2 + a^2*x + 2/15*(9*b*x^(5/3) + 10*c*x^(3/2))*a","A",0
810,1,85,0,0.438174," ","integrate((a+b*x^(2/3)+c*x^(1/2))^3,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} x^{3} + \frac{18}{17} \, b^{2} c x^{\frac{17}{6}} + \frac{9}{8} \, b c^{2} x^{\frac{8}{3}} + \frac{2}{5} \, c^{3} x^{\frac{5}{2}} + a^{3} x + \frac{1}{5} \, {\left(9 \, b x^{\frac{5}{3}} + 10 \, c x^{\frac{3}{2}}\right)} a^{2} + \frac{3}{182} \, {\left(78 \, b^{2} x^{\frac{7}{3}} + 168 \, b c x^{\frac{13}{6}} + 91 \, c^{2} x^{2}\right)} a"," ",0,"1/3*b^3*x^3 + 18/17*b^2*c*x^(17/6) + 9/8*b*c^2*x^(8/3) + 2/5*c^3*x^(5/2) + a^3*x + 1/5*(9*b*x^(5/3) + 10*c*x^(3/2))*a^2 + 3/182*(78*b^2*x^(7/3) + 168*b*c*x^(13/6) + 91*c^2*x^2)*a","A",0
811,-2,0,0,0.000000," ","integrate((x^2-1)/x^3/(a-b+b/x^2)^(1/2),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-4*b>0)', see `assume?` for more details)Is 4*a-4*b positive or negative?","F(-2)",0
812,-2,0,0,0.000000," ","integrate((x^2-1)/x^3/(a+b*(-1+1/x^2))^(1/2),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-4*b>0)', see `assume?` for more details)Is 4*a-4*b positive or negative?","F(-2)",0
813,0,0,0,0.000000," ","integrate((1+x)/(x^2+4)/(x^2+9)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{2} + 9} {\left(x^{2} + 4\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^2 + 9)*(x^2 + 4)), x)","F",0
814,1,17,0,0.428512," ","integrate(x*(1+(-x^2+1)^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/2*x^2 - 1/3*(-x^2 + 1)^(3/2)","A",0
815,1,17,0,0.965898," ","integrate(x*(1+(1-x)^(1/2)*(1+x)^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/2*x^2 - 1/3*(-x^2 + 1)^(3/2)","A",0
816,1,36,0,0.431864," ","integrate(x*(1+1/(2+x)^(1/2)/(3+x)^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + \sqrt{x^{2} + 5 \, x + 6} - \frac{5}{2} \, \log\left(2 \, x + 2 \, \sqrt{x^{2} + 5 \, x + 6} + 5\right)"," ",0,"1/2*x^2 + sqrt(x^2 + 5*x + 6) - 5/2*log(2*x + 2*sqrt(x^2 + 5*x + 6) + 5)","A",0
817,1,2,0,0.962824," ","integrate((x-(x^6)^(1/2))/x/(-x^4+1),x, algorithm=""maxima"")","\arctan\left(x\right)"," ",0,"arctan(x)","A",0
818,1,2,0,0.969189," ","integrate((1-(x^6)^(1/2)/x)/(-x^4+1),x, algorithm=""maxima"")","\arctan\left(x\right)"," ",0,"arctan(x)","A",0
819,1,2,0,0.980124," ","integrate((x-(x^6)^(1/2))/(-x^5+x),x, algorithm=""maxima"")","\arctan\left(x\right)"," ",0,"arctan(x)","A",0
820,1,2,0,0.958340," ","integrate(x/(x+(x^6)^(1/2)),x, algorithm=""maxima"")","\arctan\left(x\right)"," ",0,"arctan(x)","A",0
821,0,0,0,0.000000," ","integrate((x^(1/2)-(x^3)^(1/2))/(-x^3+x),x, algorithm=""maxima"")","\arctan\left(\sqrt{x}\right) - \int \frac{\sqrt{x}}{2 \, {\left(x + 1\right)}}\,{d x} + \int \frac{1}{4 \, {\left(\sqrt{x} + 1\right)}}\,{d x} + \int \frac{1}{4 \, {\left(\sqrt{x} - 1\right)}}\,{d x} + \frac{1}{2} \, \log\left(\sqrt{x} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{x} - 1\right)"," ",0,"arctan(sqrt(x)) - integrate(1/2*sqrt(x)/(x + 1), x) + integrate(1/4/(sqrt(x) + 1), x) + integrate(1/4/(sqrt(x) - 1), x) + 1/2*log(sqrt(x) + 1) - 1/2*log(sqrt(x) - 1)","F",0
822,1,6,0,0.987337," ","integrate(1/(x^(1/2)+(x^3)^(1/2)),x, algorithm=""maxima"")","2 \, \arctan\left(\sqrt{x}\right)"," ",0,"2*arctan(sqrt(x))","A",0
823,0,0,0,0.000000," ","integrate(1/((-1+x)^(1/2)+((-1+x)^3)^(1/2)),x, algorithm=""maxima"")","2 \, \sqrt{x - 1} - \int \frac{\sqrt{x - 1}}{x}\,{d x}"," ",0,"2*sqrt(x - 1) - integrate(sqrt(x - 1)/x, x)","F",0
824,1,27,0,0.963862," ","integrate(-3/(4+5*x)^2+(-5-4*x)/(4+5*x)^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-x^{2} + 1}}{5 \, x + 4} + \frac{3}{5 \, {\left(5 \, x + 4\right)}}"," ",0,"sqrt(-x^2 + 1)/(5*x + 4) + 3/5/(5*x + 4)","A",0
825,1,25,0,0.606191," ","integrate((-5-4*x-3*(-x^2+1)^(1/2))/(4+5*x)^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{5 \, \sqrt{x + 1} \sqrt{-x + 1} + 3}{5 \, {\left(5 \, x + 4\right)}}"," ",0,"1/5*(5*sqrt(x + 1)*sqrt(-x + 1) + 3)/(5*x + 4)","A",0
826,0,0,0,0.000000," ","integrate(1/(-3*x^2+3+(-5-4*x)*(-x^2+1)^(1/2)),x, algorithm=""maxima"")","-\int \frac{1}{3 \, x^{2} + \sqrt{-x^{2} + 1} {\left(4 \, x + 5\right)} - 3}\,{d x}"," ",0,"-integrate(1/(3*x^2 + sqrt(-x^2 + 1)*(4*x + 5) - 3), x)","F",0
827,0,0,0,0.000000," ","integrate(1/(3-3*x^2-5*(-x^2+1)^(1/2)-4*x*(-x^2+1)^(1/2)),x, algorithm=""maxima"")","-\int \frac{1}{3 \, x^{2} + 4 \, \sqrt{-x^{2} + 1} x + 5 \, \sqrt{-x^{2} + 1} - 3}\,{d x}"," ",0,"-integrate(1/(3*x^2 + 4*sqrt(-x^2 + 1)*x + 5*sqrt(-x^2 + 1) - 3), x)","F",0
828,0,0,0,0.000000," ","integrate((-1+(-x^2+1)^(1/2))/(2+x-2*(-x^2+1)^(1/2))^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{56} \, \sqrt{7} \log\left(\frac{3 \, x - 2 \, \sqrt{7} - 2}{3 \, x + 2 \, \sqrt{7} - 2}\right) - \int -\frac{100 \, x^{7} + 285 \, x^{6} + 264 \, x^{5} + 80 \, x^{4}}{8 \, {\left(21 \, x^{9} + 278 \, x^{8} + 283 \, x^{7} - 2022 \, x^{6} - 3632 \, x^{5} + 2256 \, x^{4} + 7424 \, x^{3} + 1536 \, x^{2} - 8 \, {\left(9 \, x^{8} + 12 \, x^{7} - 101 \, x^{6} - 172 \, x^{5} + 284 \, x^{4} + 672 \, x^{3} + 64 \, x^{2} - 512 \, x - 256\right)} \sqrt{x + 1} \sqrt{-x + 1} - 4096 \, x - 2048\right)}}\,{d x} - \frac{1}{24} \, \log\left(x + 2\right) + \frac{1}{16} \, \log\left(x + 1\right) - \frac{1}{48} \, \log\left(x - 1\right)"," ",0,"-1/56*sqrt(7)*log((3*x - 2*sqrt(7) - 2)/(3*x + 2*sqrt(7) - 2)) - integrate(-1/8*(100*x^7 + 285*x^6 + 264*x^5 + 80*x^4)/(21*x^9 + 278*x^8 + 283*x^7 - 2022*x^6 - 3632*x^5 + 2256*x^4 + 7424*x^3 + 1536*x^2 - 8*(9*x^8 + 12*x^7 - 101*x^6 - 172*x^5 + 284*x^4 + 672*x^3 + 64*x^2 - 512*x - 256)*sqrt(x + 1)*sqrt(-x + 1) - 4096*x - 2048), x) - 1/24*log(x + 2) + 1/16*log(x + 1) - 1/48*log(x - 1)","F",0
829,1,85,0,0.450166," ","integrate((a+b*x^(-1+n))/(c*x+d*x^n),x, algorithm=""maxima"")","b {\left(\frac{\log\left(x\right)}{d} - \frac{n \log\left(x\right)}{d {\left(n - 1\right)}} + \frac{\log\left(\frac{c x + d x^{n}}{d}\right)}{d {\left(n - 1\right)}}\right)} + a {\left(\frac{n \log\left(x\right)}{c {\left(n - 1\right)}} - \frac{\log\left(\frac{c x + d x^{n}}{d}\right)}{c {\left(n - 1\right)}}\right)}"," ",0,"b*(log(x)/d - n*log(x)/(d*(n - 1)) + log((c*x + d*x^n)/d)/(d*(n - 1))) + a*(n*log(x)/(c*(n - 1)) - log((c*x + d*x^n)/d)/(c*(n - 1)))","B",0
830,0,0,0,0.000000," ","integrate((2*x^2+1)^(1/2)/(1+(2*x^2+1)^(1/2)),x, algorithm=""maxima"")","x - \int \frac{1}{\sqrt{2 \, x^{2} + 1} + 1}\,{d x}"," ",0,"x - integrate(1/(sqrt(2*x^2 + 1) + 1), x)","F",0
831,0,0,0,0.000000," ","integrate((4*x^2-1)^(1/2)/(x+(4*x^2-1)^(1/2)),x, algorithm=""maxima"")","x - \int \frac{x}{\sqrt{2 \, x + 1} \sqrt{2 \, x - 1} + x}\,{d x}"," ",0,"x - integrate(x/(sqrt(2*x + 1)*sqrt(2*x - 1) + x), x)","F",0
832,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^3/(x^2-1)^(1/2),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(e-d>0)', see `assume?` for more details)Is e-d positive, negative or zero?","F(-2)",0
833,1,34,0,0.964417," ","integrate((2*x^8+1)/x/(x^8+1)^(3/2),x, algorithm=""maxima"")","-\frac{1}{4 \, \sqrt{x^{8} + 1}} - \frac{1}{8} \, \log\left(\sqrt{x^{8} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{x^{8} + 1} - 1\right)"," ",0,"-1/4/sqrt(x^8 + 1) - 1/8*log(sqrt(x^8 + 1) + 1) + 1/8*log(sqrt(x^8 + 1) - 1)","A",0
834,0,0,0,0.000000," ","integrate((2*x^8+1)*(x^8+1)^(1/2)/(x^17+2*x^9+x),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{8} + 1\right)} \sqrt{x^{8} + 1}}{x^{17} + 2 \, x^{9} + x}\,{d x}"," ",0,"integrate((2*x^8 + 1)*sqrt(x^8 + 1)/(x^17 + 2*x^9 + x), x)","F",0
835,1,18,0,0.580888," ","integrate(1-9*x^2+x/(-9*x^2+1)^(1/2),x, algorithm=""maxima"")","-3 \, x^{3} + x - \frac{1}{9} \, \sqrt{-9 \, x^{2} + 1}"," ",0,"-3*x^3 + x - 1/9*sqrt(-9*x^2 + 1)","A",0
836,1,18,0,0.816036," ","integrate((x+(-9*x^2+1)^(3/2))/(-9*x^2+1)^(1/2),x, algorithm=""maxima"")","-3 \, x^{3} + x - \frac{1}{9} \, \sqrt{-9 \, x^{2} + 1}"," ",0,"-3*x^3 + x - 1/9*sqrt(-9*x^2 + 1)","A",0
837,0,0,0,0.000000," ","integrate((x-3*x^(1/2))^(2/3)*(-3+2*x^(1/2))/x^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x - 3 \, \sqrt{x}\right)}^{\frac{2}{3}} {\left(2 \, \sqrt{x} - 3\right)}}{\sqrt{x}}\,{d x}"," ",0,"integrate((x - 3*sqrt(x))^(2/3)*(2*sqrt(x) - 3)/sqrt(x), x)","F",0
838,0,0,0,0.000000," ","integrate((9+2*x-9*x^(1/2))/(x-3*x^(1/2))^(1/3),x, algorithm=""maxima"")","\int \frac{2 \, x - 9 \, \sqrt{x} + 9}{{\left(x - 3 \, \sqrt{x}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((2*x - 9*sqrt(x) + 9)/(x - 3*sqrt(x))^(1/3), x)","F",0
839,1,6,0,1.957306," ","integrate(1/(-9*x^2+4)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \arcsin\left(\frac{3}{2} \, x\right)"," ",0,"1/3*arcsin(3/2*x)","A",0
840,1,6,0,1.931336," ","integrate(1/(2-3*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \arcsin\left(\frac{3}{2} \, x\right)"," ",0,"1/3*arcsin(3/2*x)","A",0
841,1,6,0,1.956117," ","integrate(1/((2-3*x)*(2+3*x))^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \arcsin\left(\frac{3}{2} \, x\right)"," ",0,"1/3*arcsin(3/2*x)","A",0
842,1,8,0,1.970096," ","integrate(1/(-x^2-2*x+15)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(-\frac{1}{4} \, x - \frac{1}{4}\right)"," ",0,"-arcsin(-1/4*x - 1/4)","A",0
843,1,8,0,1.961974," ","integrate(1/(3-x)^(1/2)/(5+x)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(-\frac{1}{4} \, x - \frac{1}{4}\right)"," ",0,"-arcsin(-1/4*x - 1/4)","A",0
844,1,8,0,1.970575," ","integrate(1/((3-x)*(5+x))^(1/2),x, algorithm=""maxima"")","-\arcsin\left(-\frac{1}{4} \, x - \frac{1}{4}\right)"," ",0,"-arcsin(-1/4*x - 1/4)","A",0
845,1,8,0,1.989496," ","integrate(1/(-x^2-8*x-15)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(-x - 4\right)"," ",0,"-arcsin(-x - 4)","A",0
846,1,8,0,1.971649," ","integrate(1/(-3-x)^(1/2)/(5+x)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(-x - 4\right)"," ",0,"-arcsin(-x - 4)","A",0
847,1,8,0,1.949973," ","integrate(1/((-3-x)*(5+x))^(1/2),x, algorithm=""maxima"")","-\arcsin\left(-x - 4\right)"," ",0,"-arcsin(-x - 4)","A",0
848,1,7,0,0.898411," ","integrate(1-x^(1/2),x, algorithm=""maxima"")","-\frac{2}{3} \, x^{\frac{3}{2}} + x"," ",0,"-2/3*x^(3/2) + x","A",0
849,1,7,0,0.912570," ","integrate((1-x)/(1+x^(1/2)),x, algorithm=""maxima"")","-\frac{2}{3} \, x^{\frac{3}{2}} + x"," ",0,"-2/3*x^(3/2) + x","A",0
850,0,0,0,0.000000," ","integrate((1/(-x^2+1))^(1/2),x, algorithm=""maxima"")","\int \sqrt{-\frac{1}{x^{2} - 1}}\,{d x}"," ",0,"integrate(sqrt(-1/(x^2 - 1)), x)","F",0
851,0,0,0,0.000000," ","integrate(((x^2+1)/(-x^4+1))^(1/2),x, algorithm=""maxima"")","\int \sqrt{-\frac{x^{2} + 1}{x^{4} - 1}}\,{d x}"," ",0,"integrate(sqrt(-(x^2 + 1)/(x^4 - 1)), x)","F",0
852,1,14,0,0.881439," ","integrate((1/(x^2-1))^(1/2),x, algorithm=""maxima"")","\log\left(2 \, x + 2 \, \sqrt{x^{2} - 1}\right)"," ",0,"log(2*x + 2*sqrt(x^2 - 1))","A",0
853,0,0,0,0.000000," ","integrate(((x^2+1)/(x^4-1))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\frac{x^{2} + 1}{x^{4} - 1}}\,{d x}"," ",0,"integrate(sqrt((x^2 + 1)/(x^4 - 1)), x)","F",0
854,1,9,0,0.890396," ","integrate(1/(1-x)^(1/2),x, algorithm=""maxima"")","-2 \, \sqrt{-x + 1}"," ",0,"-2*sqrt(-x + 1)","A",0
855,1,12,0,0.920420," ","integrate((1+x)^(1/2)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(x - 1\right)}}{\sqrt{-x + 1}}"," ",0,"2*(x - 1)/sqrt(-x + 1)","C",0
856,1,7,0,0.883977," ","integrate(1/(1+x)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x + 1}"," ",0,"2*sqrt(x + 1)","A",0
857,1,7,0,0.898656," ","integrate((1-x)^(1/2)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x + 1}"," ",0,"2*sqrt(x + 1)","A",0
858,1,9,0,0.807502," ","integrate((1-x)^(1/2),x, algorithm=""maxima"")","-\frac{2}{3} \, {\left(-x + 1\right)}^{\frac{3}{2}}"," ",0,"-2/3*(-x + 1)^(3/2)","A",0
859,1,12,0,0.831033," ","integrate((-x^2+1)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(x - 1\right)} \sqrt{-x + 1}"," ",0,"2/3*(x - 1)*sqrt(-x + 1)","A",0
860,1,7,0,0.882050," ","integrate((1+x)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(x + 1\right)}^{\frac{3}{2}}"," ",0,"2/3*(x + 1)^(3/2)","A",0
861,1,7,0,0.919183," ","integrate((-x^2+1)^(1/2)/(1-x)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(x + 1\right)}^{\frac{3}{2}}"," ",0,"2/3*(x + 1)^(3/2)","A",0
862,1,41,0,1.968074," ","integrate((2+3*x)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"-1/6*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + sqrt(3*x^2 + 5*x + 2)","A",0
863,0,0,0,0.000000," ","integrate((1-x)^(1/2)*(2+3*x)^(1/2)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{3 \, x + 2} \sqrt{-x + 1}}{\sqrt{-x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*sqrt(-x + 1)/sqrt(-x^2 + 1), x)","F",0
864,1,53,0,1.987107," ","integrate((1+x)^(3/2)/(1-x)^(3/2)/x,x, algorithm=""maxima"")","\frac{4 \, x}{\sqrt{-x^{2} + 1}} + \frac{4}{\sqrt{-x^{2} + 1}} - \arcsin\left(x\right) - \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"4*x/sqrt(-x^2 + 1) + 4/sqrt(-x^2 + 1) - arcsin(x) - log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
865,1,53,0,1.987482," ","integrate((1+x)^3/x/(-x^2+1)^(3/2),x, algorithm=""maxima"")","\frac{4 \, x}{\sqrt{-x^{2} + 1}} + \frac{4}{\sqrt{-x^{2} + 1}} - \arcsin\left(x\right) - \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"4*x/sqrt(-x^2 + 1) + 4/sqrt(-x^2 + 1) - arcsin(x) - log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
866,1,65,0,2.503710," ","integrate((a*x+1)^(3/2)/x/(-a*x+1)^(3/2),x, algorithm=""maxima"")","\frac{4 \, a x}{\sqrt{-a^{2} x^{2} + 1}} + \frac{4}{\sqrt{-a^{2} x^{2} + 1}} - \arcsin\left(a x\right) - \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"4*a*x/sqrt(-a^2*x^2 + 1) + 4/sqrt(-a^2*x^2 + 1) - arcsin(a*x) - log(2*sqrt(-a^2*x^2 + 1)/abs(x) + 2/abs(x))","A",0
867,1,65,0,2.075994," ","integrate((a*x+1)^3/x/(-a^2*x^2+1)^(3/2),x, algorithm=""maxima"")","\frac{4 \, a x}{\sqrt{-a^{2} x^{2} + 1}} + \frac{4}{\sqrt{-a^{2} x^{2} + 1}} - \arcsin\left(a x\right) - \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"4*a*x/sqrt(-a^2*x^2 + 1) + 4/sqrt(-a^2*x^2 + 1) - arcsin(a*x) - log(2*sqrt(-a^2*x^2 + 1)/abs(x) + 2/abs(x))","A",0
868,1,2,0,1.675405," ","integrate(1/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\arcsin\left(x\right)"," ",0,"arcsin(x)","A",0
869,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1}}{\sqrt{-x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)/sqrt(-x^4 + 1), x)","F",0
870,1,2,0,2.000293," ","integrate(1/(x^2+1)^(1/2),x, algorithm=""maxima"")","\operatorname{arsinh}\left(x\right)"," ",0,"arcsinh(x)","A",0
871,0,0,0,0.000000," ","integrate((-x^2+1)^(1/2)/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1}}{\sqrt{-x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)/sqrt(-x^4 + 1), x)","F",0
872,1,17,0,1.933180," ","integrate((-x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} x + \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"1/2*sqrt(-x^2 + 1)*x + 1/2*arcsin(x)","A",0
873,0,0,0,0.000000," ","integrate((-x^4+1)^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{4} + 1}}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(-x^4 + 1)/sqrt(x^2 + 1), x)","F",0
874,1,15,0,1.949603," ","integrate((x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{2} + 1} x + \frac{1}{2} \, \operatorname{arsinh}\left(x\right)"," ",0,"1/2*sqrt(x^2 + 1)*x + 1/2*arcsinh(x)","A",0
875,0,0,0,0.000000," ","integrate((-x^4+1)^(1/2)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{4} + 1}}{\sqrt{-x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(-x^4 + 1)/sqrt(-x^2 + 1), x)","F",0
876,0,0,0,0.000000," ","integrate(((c*x^2+a+b)/d)^m,x, algorithm=""maxima"")","\int \left(\frac{c x^{2} + a + b}{d}\right)^{m}\,{d x}"," ",0,"integrate(((c*x^2 + a + b)/d)^m, x)","F",0
877,0,0,0,0.000000," ","integrate(1/(x-(x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x - \sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(1/(x - sqrt(x^2 + 1)), x)","F",0
878,0,0,0,0.000000," ","integrate(1/(x-(-x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x - \sqrt{-x^{2} + 1}}\,{d x}"," ",0,"integrate(1/(x - sqrt(-x^2 + 1)), x)","F",0
879,0,0,0,0.000000," ","integrate(1/(x-(2*x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x - \sqrt{2 \, x^{2} + 1}}\,{d x}"," ",0,"integrate(1/(x - sqrt(2*x^2 + 1)), x)","F",0
880,1,94,0,2.028662," ","integrate((2*x-x^3+x^2*(-x^2+2)^(1/2))/(2*x^2-2),x, algorithm=""maxima"")","-\frac{1}{4} \, x^{2} + \frac{1}{4} \, \sqrt{-x^{2} + 2} x + \frac{1}{4} \, \log\left(x^{2} - 1\right) + \frac{1}{4} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 2}}{{\left| 2 \, x + 2 \right|}} + \frac{2}{{\left| 2 \, x + 2 \right|}} + 1\right) - \frac{1}{4} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 2}}{{\left| 2 \, x - 2 \right|}} + \frac{2}{{\left| 2 \, x - 2 \right|}} - 1\right)"," ",0,"-1/4*x^2 + 1/4*sqrt(-x^2 + 2)*x + 1/4*log(x^2 - 1) + 1/4*log(2*sqrt(-x^2 + 2)/abs(2*x + 2) + 2/abs(2*x + 2) + 1) - 1/4*log(2*sqrt(-x^2 + 2)/abs(2*x - 2) + 2/abs(2*x - 2) - 1)","B",0
881,0,0,0,0.000000," ","integrate(x*(-x^2+2)^(1/2)/(x-(-x^2+2)^(1/2)),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} - \int -\frac{x^{2}}{x - \sqrt{-x^{2} + 2}}\,{d x}"," ",0,"-1/2*x^2 - integrate(-x^2/(x - sqrt(-x^2 + 2)), x)","F",0
882,0,0,0,0.000000," ","integrate(x/(-x+(-x^2+2*x)^(1/2)),x, algorithm=""maxima"")","-\int \frac{x}{x - \sqrt{-x^{2} + 2 \, x}}\,{d x}"," ",0,"-integrate(x/(x - sqrt(-x^2 + 2*x)), x)","F",0
883,1,54,0,1.983716," ","integrate((x+(-x^2+2*x)^(1/2))/(2-2*x),x, algorithm=""maxima"")","-\frac{1}{2} \, x - \frac{1}{2} \, \sqrt{-x^{2} + 2 \, x} - \frac{1}{2} \, \log\left(x - 1\right) + \frac{1}{2} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 2 \, x}}{{\left| x - 1 \right|}} + \frac{2}{{\left| x - 1 \right|}}\right)"," ",0,"-1/2*x - 1/2*sqrt(-x^2 + 2*x) - 1/2*log(x - 1) + 1/2*log(2*sqrt(-x^2 + 2*x)/abs(x - 1) + 2/abs(x - 1))","A",0
884,1,54,0,1.972551," ","integrate((x+(2-x)^(1/2)*x^(1/2))/(2-2*x),x, algorithm=""maxima"")","-\frac{1}{2} \, x - \frac{1}{2} \, \sqrt{-x^{2} + 2 \, x} - \frac{1}{2} \, \log\left(x - 1\right) + \frac{1}{2} \, \log\left(\frac{2 \, \sqrt{-x^{2} + 2 \, x}}{{\left| x - 1 \right|}} + \frac{2}{{\left| x - 1 \right|}}\right)"," ",0,"-1/2*x - 1/2*sqrt(-x^2 + 2*x) - 1/2*log(x - 1) + 1/2*log(2*sqrt(-x^2 + 2*x)/abs(x - 1) + 2/abs(x - 1))","A",0
885,0,0,0,0.000000," ","integrate(x^(1/2)/((2-x)^(1/2)-x^(1/2)),x, algorithm=""maxima"")","-\int \frac{\sqrt{x}}{\sqrt{x} - \sqrt{-x + 2}}\,{d x}"," ",0,"-integrate(sqrt(x)/(sqrt(x) - sqrt(-x + 2)), x)","F",0
886,0,0,0,0.000000," ","integrate(1/((1+x)*(x^2-1))^(2/3),x, algorithm=""maxima"")","\int \frac{1}{\left({\left(x^{2} - 1\right)} {\left(x + 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(((x^2 - 1)*(x + 1))^(-2/3), x)","F",0
887,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x*(x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{{\left(x^{2} + 1\right)} x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt((x^2 + 1)*x)*(x^2 + 1)), x)","F",0
888,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^3+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{3} + x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^3 + x)*(x^2 + 1)), x)","F",0
889,0,0,0,0.000000," ","integrate(((x^2-1)^2/x/(x^2+1))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{{\left(x^{2} - 1\right)}^{2}}{{\left(x^{2} + 1\right)} x}}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt((x^2 - 1)^2/((x^2 + 1)*x))/(x^2 + 1), x)","F",0
890,0,0,0,0.000000," ","integrate(((x^2-1)^2/(x^3+x))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{{\left(x^{2} - 1\right)}^{2}}{x^{3} + x}}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt((x^2 - 1)^2/(x^3 + x))/(x^2 + 1), x)","F",0
891,0,0,0,0.000000," ","integrate(1/(a+b/x^2)^(1/2)/(d*x^2+c)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d x^{2} + c} \sqrt{a + \frac{b}{x^{2}}}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x^2 + c)*sqrt(a + b/x^2)), x)","F",0
892,0,0,0,0.000000," ","integrate((x^4-2*x^2)^(1/2)/(x^2-1)/(x^2+2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - 2 \, x^{2}}}{{\left(x^{2} + 2\right)} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^4 - 2*x^2)/((x^2 + 2)*(x^2 - 1)), x)","F",0
893,0,0,0,0.000000," ","integrate((1-1/(x^2-1)^2)^(1/2)/(-x^2+2),x, algorithm=""maxima"")","-\int \frac{\sqrt{-\frac{1}{{\left(x^{2} - 1\right)}^{2}} + 1}}{x^{2} - 2}\,{d x}"," ",0,"-integrate(sqrt(-1/(x^2 - 1)^2 + 1)/(x^2 - 2), x)","F",0
894,0,0,0,0.000000," ","integrate(((x^4-2*x^2)/(x^2-1)^2)^(1/2)/(x^2+2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{x^{4} - 2 \, x^{2}}{{\left(x^{2} - 1\right)}^{2}}}}{x^{2} + 2}\,{d x}"," ",0,"integrate(sqrt((x^4 - 2*x^2)/(x^2 - 1)^2)/(x^2 + 2), x)","F",0
895,0,0,0,0.000000," ","integrate((1+2*x/(x^2+1))^(5/2),x, algorithm=""maxima"")","\int {\left(\frac{2 \, x}{x^{2} + 1} + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((2*x/(x^2 + 1) + 1)^(5/2), x)","F",0
896,0,0,0,0.000000," ","integrate((1+2*x/(x^2+1))^(3/2),x, algorithm=""maxima"")","\int {\left(\frac{2 \, x}{x^{2} + 1} + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((2*x/(x^2 + 1) + 1)^(3/2), x)","F",0
897,0,0,0,0.000000," ","integrate((1+2*x/(x^2+1))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\frac{2 \, x}{x^{2} + 1} + 1}\,{d x}"," ",0,"integrate(sqrt(2*x/(x^2 + 1) + 1), x)","F",0
898,0,0,0,0.000000," ","integrate(1/(1+2*x/(x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\frac{2 \, x}{x^{2} + 1} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(2*x/(x^2 + 1) + 1), x)","F",0
899,0,0,0,0.000000," ","integrate(1/(1+2*x/(x^2+1))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(\frac{2 \, x}{x^{2} + 1} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*x/(x^2 + 1) + 1)^(-3/2), x)","F",0
900,0,0,0,0.000000," ","integrate((1+2*x/(x^2+1))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{2 \, x}{x^{2} + 1} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(2*x/(x^2 + 1) + 1)/(x^2 + 1), x)","F",0
901,0,0,0,0.000000," ","integrate(F(x)*(-x^2+x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{2} + x} F\left(x\right)\,{d x}"," ",0,"integrate(sqrt(-x^2 + x)*F(x), x)","F",0
902,0,0,0,0.000000," ","integrate(F(x)/(-x^2+x)^(1/2),x, algorithm=""maxima"")","\int \frac{F\left(x\right)}{\sqrt{-x^{2} + x}}\,{d x}"," ",0,"integrate(F(x)/sqrt(-x^2 + x), x)","F",0
903,0,0,0,0.000000," ","integrate(F(x)*(1-x)^(1/2)*x^(1/2),x, algorithm=""maxima"")","\int \sqrt{x} \sqrt{-x + 1} F\left(x\right)\,{d x}"," ",0,"integrate(sqrt(x)*sqrt(-x + 1)*F(x), x)","F",0
904,0,0,0,0.000000," ","integrate(F(x)/(1-x)^(1/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{F\left(x\right)}{\sqrt{x} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate(F(x)/(sqrt(x)*sqrt(-x + 1)), x)","F",0
905,0,0,0,0.000000," ","integrate(F((b*x+a)/x),x, algorithm=""maxima"")","\int F\left(\frac{b x + a}{x}\right)\,{d x}"," ",0,"integrate(F((b*x + a)/x), x)","F",0
906,0,0,0,0.000000," ","integrate(F((b*x^2+a)/x^2),x, algorithm=""maxima"")","\int F\left(\frac{b x^{2} + a}{x^{2}}\right)\,{d x}"," ",0,"integrate(F((b*x^2 + a)/x^2), x)","F",0
907,0,0,0,0.000000," ","integrate(F(x/(b*x+a)),x, algorithm=""maxima"")","\int F\left(\frac{x}{b x + a}\right)\,{d x}"," ",0,"integrate(F(x/(b*x + a)), x)","F",0
908,0,0,0,0.000000," ","integrate(F(x^2/(b*x^2+a)),x, algorithm=""maxima"")","\int F\left(\frac{x^{2}}{b x^{2} + a}\right)\,{d x}"," ",0,"integrate(F(x^2/(b*x^2 + a)), x)","F",0
909,0,0,0,0.000000," ","integrate(F(x^2/(b*x+a)^2),x, algorithm=""maxima"")","\int F\left(\frac{x^{2}}{{\left(b x + a\right)}^{2}}\right)\,{d x}"," ",0,"integrate(F(x^2/(b*x + a)^2), x)","F",0
910,0,0,0,0.000000," ","integrate(F(x^4/(b*x^2+a)^2),x, algorithm=""maxima"")","\int F\left(\frac{x^{4}}{{\left(b x^{2} + a\right)}^{2}}\right)\,{d x}"," ",0,"integrate(F(x^4/(b*x^2 + a)^2), x)","F",0
911,0,0,0,0.000000," ","integrate((b*x^2+(b^2*x^4+a)^(1/2))^(1/2)/(b^2*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{2} + \sqrt{b^{2} x^{4} + a}}}{\sqrt{b^{2} x^{4} + a}}\,{d x}"," ",0,"integrate(sqrt(b*x^2 + sqrt(b^2*x^4 + a))/sqrt(b^2*x^4 + a), x)","F",0
912,0,0,0,0.000000," ","integrate((-b*x^2+(b^2*x^4+a)^(1/2))^(1/2)/(b^2*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-b x^{2} + \sqrt{b^{2} x^{4} + a}}}{\sqrt{b^{2} x^{4} + a}}\,{d x}"," ",0,"integrate(sqrt(-b*x^2 + sqrt(b^2*x^4 + a))/sqrt(b^2*x^4 + a), x)","F",0
913,0,0,0,0.000000," ","integrate((2*x^2+(4*x^4+3)^(1/2))^(1/2)/(d*x+c)/(4*x^4+3)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{2} + \sqrt{4 \, x^{4} + 3}}}{\sqrt{4 \, x^{4} + 3} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(sqrt(2*x^2 + sqrt(4*x^4 + 3))/(sqrt(4*x^4 + 3)*(d*x + c)), x)","F",0
914,0,0,0,0.000000," ","integrate((2*x^2+(4*x^4+3)^(1/2))^(1/2)/(d*x+c)^2/(4*x^4+3)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{2} + \sqrt{4 \, x^{4} + 3}}}{\sqrt{4 \, x^{4} + 3} {\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(2*x^2 + sqrt(4*x^4 + 3))/(sqrt(4*x^4 + 3)*(d*x + c)^2), x)","F",0
915,1,27,0,2.342455," ","integrate((-4+x)/(1+x^(1/3))/x^(1/2),x, algorithm=""maxima"")","\frac{6}{7} \, x^{\frac{7}{6}} - \frac{6}{5} \, x^{\frac{5}{6}} + 2 \, \sqrt{x} - 30 \, x^{\frac{1}{6}} + 30 \, \arctan\left(x^{\frac{1}{6}}\right)"," ",0,"6/7*x^(7/6) - 6/5*x^(5/6) + 2*sqrt(x) - 30*x^(1/6) + 30*arctan(x^(1/6))","A",0
916,1,20,0,2.290606," ","integrate((1+x^(1/2))/(x^(5/6)+x^(7/6)),x, algorithm=""maxima"")","3 \, x^{\frac{1}{3}} + 6 \, \arctan\left(x^{\frac{1}{6}}\right) - 3 \, \log\left(x^{\frac{1}{3}} + 1\right)"," ",0,"3*x^(1/3) + 6*arctan(x^(1/6)) - 3*log(x^(1/3) + 1)","A",0
917,1,30,0,2.389515," ","integrate((1+x^(1/2))/(1+x^(1/3))/x^(1/2),x, algorithm=""maxima"")","\frac{3}{2} \, x^{\frac{2}{3}} - 3 \, x^{\frac{1}{3}} + 6 \, x^{\frac{1}{6}} - 6 \, \arctan\left(x^{\frac{1}{6}}\right) + 3 \, \log\left(x^{\frac{1}{3}} + 1\right)"," ",0,"3/2*x^(2/3) - 3*x^(1/3) + 6*x^(1/6) - 6*arctan(x^(1/6)) + 3*log(x^(1/3) + 1)","A",0
918,0,0,0,0.000000," ","integrate((2+b/x^2)^(1/2)/(2*x^2+b),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{b}{x^{2}} + 2}}{2 \, x^{2} + b}\,{d x}"," ",0,"integrate(sqrt(b/x^2 + 2)/(2*x^2 + b), x)","F",0
919,0,0,0,0.000000," ","integrate((2-b/x^2)^(1/2)/(2*x^2-b),x, algorithm=""maxima"")","\int \frac{\sqrt{-\frac{b}{x^{2}} + 2}}{2 \, x^{2} - b}\,{d x}"," ",0,"integrate(sqrt(-b/x^2 + 2)/(2*x^2 - b), x)","F",0
920,0,0,0,0.000000," ","integrate((a+c/x^2)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{c}{x^{2}}}}{e x + d}\,{d x}"," ",0,"integrate(sqrt(a + c/x^2)/(e*x + d), x)","F",0
921,0,0,0,0.000000," ","integrate((a+c/x^2+b/x)^(1/2)/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}}}{e x + d}\,{d x}"," ",0,"integrate(sqrt(a + b/x + c/x^2)/(e*x + d), x)","F",0
922,1,16,0,0.963605," ","integrate((x^(1/6)+(x^3)^(1/5))/x^(1/2),x, algorithm=""maxima"")","\frac{10}{11} \, {\left(x^{3}\right)}^{\frac{1}{5}} \sqrt{x} + \frac{3}{2} \, x^{\frac{2}{3}}"," ",0,"10/11*(x^3)^(1/5)*sqrt(x) + 3/2*x^(2/3)","A",0
923,1,22,0,1.931658," ","integrate((2+x)/(-x^2+4*x)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 4 \, x} - 4 \, \arcsin\left(-\frac{1}{2} \, x + 1\right)"," ",0,"-sqrt(-x^2 + 4*x) - 4*arcsin(-1/2*x + 1)","A",0
924,1,11,0,0.862896," ","integrate((3+x)/(x^2+6*x)^(1/3),x, algorithm=""maxima"")","\frac{3}{4} \, {\left(x^{2} + 6 \, x\right)}^{\frac{2}{3}}"," ",0,"3/4*(x^2 + 6*x)^(2/3)","A",0
925,1,28,0,0.883949," ","integrate((4+x)/(-x^2+6*x)^(3/2),x, algorithm=""maxima"")","\frac{7 \, x}{9 \, \sqrt{-x^{2} + 6 \, x}} - \frac{4}{3 \, \sqrt{-x^{2} + 6 \, x}}"," ",0,"7/9*x/sqrt(-x^2 + 6*x) - 4/3/sqrt(-x^2 + 6*x)","A",0
926,1,9,0,1.944659," ","integrate(1/(1+x)/(x^2+2*x)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(\frac{1}{{\left| x + 1 \right|}}\right)"," ",0,"-arcsin(1/abs(x + 1))","A",0
927,1,11,0,1.929767," ","integrate(1/(1+2*x)/(x^2+x)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(\frac{1}{{\left| 2 \, x + 1 \right|}}\right)"," ",0,"-arcsin(1/abs(2*x + 1))","A",0
928,1,13,0,0.874124," ","integrate((-1+x)/(-x^2+2*x)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 2 \, x}"," ",0,"-sqrt(-x^2 + 2*x)","A",0
929,1,42,0,1.907055," ","integrate((-x^2+x)^(1/2)/(1+x),x, algorithm=""maxima"")","-\sqrt{2} \arcsin\left(\frac{3 \, x}{{\left| x + 1 \right|}} - \frac{1}{{\left| x + 1 \right|}}\right) + \sqrt{-x^{2} + x} + \frac{3}{2} \, \arcsin\left(2 \, x - 1\right)"," ",0,"-sqrt(2)*arcsin(3*x/abs(x + 1) - 1/abs(x + 1)) + sqrt(-x^2 + x) + 3/2*arcsin(2*x - 1)","A",0
930,0,0,0,0.000000," ","integrate((x^(1/4)+x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + x^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(sqrt(x + x^(1/4)), x)","F",0
931,0,0,0,0.000000," ","integrate((x+x^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{\frac{3}{2}} + x}\,{d x}"," ",0,"integrate(sqrt(x^(3/2) + x), x)","F",0
932,0,0,0,0.000000," ","integrate(x*(x+x^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{\frac{3}{2}} + x} x\,{d x}"," ",0,"integrate(sqrt(x^(3/2) + x)*x, x)","F",0
933,0,0,0,0.000000," ","integrate((-x^2+1)*(1/(-x^2+2))^(1/2),x, algorithm=""maxima"")","-\int {\left(x^{2} - 1\right)} \sqrt{-\frac{1}{x^{2} - 2}}\,{d x}"," ",0,"-integrate((x^2 - 1)*sqrt(-1/(x^2 - 2)), x)","F",0
934,0,0,0,0.000000," ","integrate((-x^4+x^3+x^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + x^{3} + x^{2}}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^3 + x^2), x)","F",0
935,1,14,0,0.897331," ","integrate(1/((a^2+x^2)^3)^(1/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{a^{2} + x^{2}} a^{2}}"," ",0,"x/(sqrt(a^2 + x^2)*a^2)","A",0
936,1,33,0,2.010921," ","integrate(x^(1/2)/(1+x+x^(1/2)),x, algorithm=""maxima"")","-\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, \sqrt{x} + 1\right)}\right) + 2 \, \sqrt{x} - \log\left(x + \sqrt{x} + 1\right)"," ",0,"-2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*sqrt(x) + 1)) + 2*sqrt(x) - log(x + sqrt(x) + 1)","A",0
937,1,25,0,2.130091," ","integrate(x/(1+x+x^(1/2)),x, algorithm=""maxima"")","\frac{4}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, \sqrt{x} + 1\right)}\right) + x - 2 \, \sqrt{x}"," ",0,"4/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*sqrt(x) + 1)) + x - 2*sqrt(x)","A",0
938,0,0,0,0.000000," ","integrate(1/x^(1/2)/(1+x+x^(1/2))^(7/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x + \sqrt{x} + 1\right)}^{\frac{7}{2}} \sqrt{x}}\,{d x}"," ",0,"integrate(1/((x + sqrt(x) + 1)^(7/2)*sqrt(x)), x)","F",0
939,0,0,0,0.000000," ","integrate((-1+x)/((x^2+1)^(1/2)+1),x, algorithm=""maxima"")","\frac{1}{4} \, x^{2} - \frac{1}{2} \, x - \int \frac{x^{3} - x^{2}}{2 \, {\left(x^{2} + 2 \, \sqrt{x^{2} + 1} + 2\right)}}\,{d x}"," ",0,"1/4*x^2 - 1/2*x - integrate(1/2*(x^3 - x^2)/(x^2 + 2*sqrt(x^2 + 1) + 2), x)","F",0
940,0,0,0,0.000000," ","integrate(1/(1+x)^(2/3)/(x^2-1)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 1\right)}^{\frac{2}{3}} {\left(x + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((x^2 - 1)^(2/3)*(x + 1)^(2/3)), x)","F",0
941,1,38,0,2.153465," ","integrate((-x^6+1)^(2/3)+(-x^6+1)^(2/3)/x^6,x, algorithm=""maxima"")","\frac{{\left(x^{6} - 1\right)} {\left(x^{2} + x + 1\right)}^{\frac{2}{3}} {\left(-x^{2} + x - 1\right)}^{\frac{2}{3}} {\left(x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)}^{\frac{2}{3}}}{5 \, x^{5}}"," ",0,"1/5*(x^6 - 1)*(x^2 + x + 1)^(2/3)*(-x^2 + x - 1)^(2/3)*(x + 1)^(2/3)*(x - 1)^(2/3)/x^5","A",0
942,1,13,0,1.127648," ","integrate(1/2*x^(-1+m)*(2*a*m+b*(2*m-n)*x^n)/(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\frac{x^{m}}{\sqrt{b x^{n} + a}}"," ",0,"x^m/sqrt(b*x^n + a)","A",0
943,1,37,0,0.578282," ","integrate((-2*x^3+x)/(2+3*x)^(1/2),x, algorithm=""maxima"")","-\frac{4}{567} \, {\left(3 \, x + 2\right)}^{\frac{7}{2}} + \frac{8}{135} \, {\left(3 \, x + 2\right)}^{\frac{5}{2}} - \frac{10}{81} \, {\left(3 \, x + 2\right)}^{\frac{3}{2}} - \frac{4}{81} \, \sqrt{3 \, x + 2}"," ",0,"-4/567*(3*x + 2)^(7/2) + 8/135*(3*x + 2)^(5/2) - 10/81*(3*x + 2)^(3/2) - 4/81*sqrt(3*x + 2)","A",0
944,1,25,0,0.653582," ","integrate(1/((1+x)^(1/4)+(1+x)^(1/2)),x, algorithm=""maxima"")","2 \, \sqrt{x + 1} - 4 \, {\left(x + 1\right)}^{\frac{1}{4}} + 4 \, \log\left({\left(x + 1\right)}^{\frac{1}{4}} + 1\right)"," ",0,"2*sqrt(x + 1) - 4*(x + 1)^(1/4) + 4*log((x + 1)^(1/4) + 1)","A",0
945,1,9,0,0.625442," ","integrate((1+2*x)/(x^2+x)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x^{2} + x}"," ",0,"2*sqrt(x^2 + x)","A",0
946,1,4,0,1.387662," ","integrate(1/2/(1+x)/x^(1/2),x, algorithm=""maxima"")","\arctan\left(\sqrt{x}\right)"," ",0,"arctan(sqrt(x))","A",0
947,1,16,0,1.431887," ","integrate(1/x/(-x^2+6*x)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 6 \, x}}{3 \, x}"," ",0,"-1/3*sqrt(-x^2 + 6*x)/x","A",0
948,1,26,0,0.730403," ","integrate(x^(1/2)*(1+x^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\sqrt{x} + 1\right)}^{4} - \frac{4}{3} \, {\left(\sqrt{x} + 1\right)}^{3} + {\left(\sqrt{x} + 1\right)}^{2}"," ",0,"1/2*(sqrt(x) + 1)^4 - 4/3*(sqrt(x) + 1)^3 + (sqrt(x) + 1)^2","B",0
949,1,11,0,0.482583," ","integrate((1-x^(1/2))/x^(1/3),x, algorithm=""maxima"")","-\frac{6}{7} \, x^{\frac{7}{6}} + \frac{3}{2} \, x^{\frac{2}{3}}"," ",0,"-6/7*x^(7/6) + 3/2*x^(2/3)","A",0
950,1,27,0,1.625490," ","integrate(x^(1/2)/(1+x^(1/3)),x, algorithm=""maxima"")","\frac{6}{7} \, x^{\frac{7}{6}} - \frac{6}{5} \, x^{\frac{5}{6}} + 2 \, \sqrt{x} - 6 \, x^{\frac{1}{6}} + 6 \, \arctan\left(x^{\frac{1}{6}}\right)"," ",0,"6/7*x^(7/6) - 6/5*x^(5/6) + 2*sqrt(x) - 6*x^(1/6) + 6*arctan(x^(1/6))","A",0
951,1,63,0,1.723050," ","integrate((1+x^(1/2))^(1/3)/x,x, algorithm=""maxima"")","-2 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(\sqrt{x} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + 6 \, {\left(\sqrt{x} + 1\right)}^{\frac{1}{3}} - \log\left({\left(\sqrt{x} + 1\right)}^{\frac{2}{3}} + {\left(\sqrt{x} + 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, \log\left({\left(\sqrt{x} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(sqrt(x) + 1)^(1/3) + 1)) + 6*(sqrt(x) + 1)^(1/3) - log((sqrt(x) + 1)^(2/3) + (sqrt(x) + 1)^(1/3) + 1) + 2*log((sqrt(x) + 1)^(1/3) - 1)","A",0
952,1,7,0,0.884132," ","integrate(1-x^(1/2),x, algorithm=""maxima"")","-\frac{2}{3} \, x^{\frac{3}{2}} + x"," ",0,"-2/3*x^(3/2) + x","A",0
953,1,7,0,0.622550," ","integrate(1-x^(1/4),x, algorithm=""maxima"")","-\frac{4}{5} \, x^{\frac{5}{4}} + x"," ",0,"-4/5*x^(5/4) + x","A",0
954,1,7,0,0.606527," ","integrate((1-x^(1/2))/(1+x^(1/4)),x, algorithm=""maxima"")","-\frac{4}{5} \, x^{\frac{5}{4}} + x"," ",0,"-4/5*x^(5/4) + x","A",0
955,-2,0,0,0.000000," ","integrate(1/((b*x+a)*(d*x+c))^(1/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
956,-2,0,0,0.000000," ","integrate(1/((b*x+a)*(-d*x+c))^(1/2),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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
957,1,21,0,1.010685," ","integrate(1/(-x^2+1)/x^(1/2),x, algorithm=""maxima"")","\arctan\left(\sqrt{x}\right) + \frac{1}{2} \, \log\left(\sqrt{x} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{x} - 1\right)"," ",0,"arctan(sqrt(x)) + 1/2*log(sqrt(x) + 1) - 1/2*log(sqrt(x) - 1)","B",0
958,1,21,0,1.005509," ","integrate(x^(1/2)/(-x^3+x),x, algorithm=""maxima"")","\arctan\left(\sqrt{x}\right) + \frac{1}{2} \, \log\left(\sqrt{x} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{x} - 1\right)"," ",0,"arctan(sqrt(x)) + 1/2*log(sqrt(x) + 1) - 1/2*log(sqrt(x) - 1)","B",0
959,1,77,0,0.996673," ","integrate(x/(2+x^2-3^(1/2)+x*(1+3^(1/2))),x, algorithm=""maxima"")","-\frac{{\left(\sqrt{3} + 1\right)} \log\left(\frac{2 \, x + \sqrt{3} - \sqrt{6 \, \sqrt{3} - 4} + 1}{2 \, x + \sqrt{3} + \sqrt{6 \, \sqrt{3} - 4} + 1}\right)}{2 \, \sqrt{6 \, \sqrt{3} - 4}} + \frac{1}{2} \, \log\left(x^{2} + x {\left(\sqrt{3} + 1\right)} - \sqrt{3} + 2\right)"," ",0,"-1/2*(sqrt(3) + 1)*log((2*x + sqrt(3) - sqrt(6*sqrt(3) - 4) + 1)/(2*x + sqrt(3) + sqrt(6*sqrt(3) - 4) + 1))/sqrt(6*sqrt(3) - 4) + 1/2*log(x^2 + x*(sqrt(3) + 1) - sqrt(3) + 2)","A",0
960,1,15,0,0.451475," ","integrate((x^3+x^2)^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(3 \, x^{2} + x - 2\right)} \sqrt{x + 1}"," ",0,"2/15*(3*x^2 + x - 2)*sqrt(x + 1)","A",0
961,1,9,0,0.973675," ","integrate(1/(1+x)/(x^2+2*x)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(\frac{1}{{\left| x + 1 \right|}}\right)"," ",0,"-arcsin(1/abs(x + 1))","A",0
962,0,0,0,0.000000," ","integrate(x^(1/2)*(1-x-x^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x} \sqrt{-x - \sqrt{x} + 1}\,{d x}"," ",0,"integrate(sqrt(x)*sqrt(-x - sqrt(x) + 1), x)","F",0
963,1,23,0,0.433777," ","integrate((1+(-3+x)^(1/2))^(1/3),x, algorithm=""maxima"")","\frac{6}{7} \, {\left(\sqrt{x - 3} + 1\right)}^{\frac{7}{3}} - \frac{3}{2} \, {\left(\sqrt{x - 3} + 1\right)}^{\frac{4}{3}}"," ",0,"6/7*(sqrt(x - 3) + 1)^(7/3) - 3/2*(sqrt(x - 3) + 1)^(4/3)","A",0
964,1,27,0,0.432255," ","integrate(1/(3+(-1+2*x)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(\sqrt{2 \, x - 1} + 3\right)}^{\frac{3}{2}} - 6 \, \sqrt{\sqrt{2 \, x - 1} + 3}"," ",0,"2/3*(sqrt(2*x - 1) + 3)^(3/2) - 6*sqrt(sqrt(2*x - 1) + 3)","A",0
965,0,0,0,0.000000," ","integrate((1-x)^(1/2)/(1+x^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{-x + 1}}{\sqrt{x} + 1}\,{d x}"," ",0,"integrate(sqrt(-x + 1)/(sqrt(x) + 1), x)","F",0
966,0,0,0,0.000000," ","integrate((1-x)^(1/2)/(1-x^(1/2)),x, algorithm=""maxima"")","-\int \frac{\sqrt{-x + 1}}{\sqrt{x} - 1}\,{d x}"," ",0,"-integrate(sqrt(-x + 1)/(sqrt(x) - 1), x)","F",0
967,0,0,0,0.000000," ","integrate(x/(x-(x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x - \sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(x/(x - sqrt(x^2 + 1)), x)","F",0
968,0,0,0,0.000000," ","integrate(x/(x-(-x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x - \sqrt{-x^{2} + 1}}\,{d x}"," ",0,"integrate(x/(x - sqrt(-x^2 + 1)), x)","F",0
969,0,0,0,0.000000," ","integrate(x/(x-(2*x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x - \sqrt{2 \, x^{2} + 1}}\,{d x}"," ",0,"integrate(x/(x - sqrt(2*x^2 + 1)), x)","F",0
970,0,0,0,0.000000," ","integrate(x^(1/2)*(x+x^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + \sqrt{x}} \sqrt{x}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x))*sqrt(x), x)","F",0
971,1,55,0,0.969830," ","integrate((1+x^(1/3))/(1+x^(1/2)),x, algorithm=""maxima"")","2 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{\frac{1}{6}} - 1\right)}\right) + \frac{6}{5} \, x^{\frac{5}{6}} + 2 \, \sqrt{x} - 3 \, x^{\frac{1}{3}} - \log\left(x^{\frac{1}{3}} - x^{\frac{1}{6}} + 1\right) - 4 \, \log\left(x^{\frac{1}{6}} + 1\right)"," ",0,"2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/6) - 1)) + 6/5*x^(5/6) + 2*sqrt(x) - 3*x^(1/3) - log(x^(1/3) - x^(1/6) + 1) - 4*log(x^(1/6) + 1)","A",0
972,1,80,0,0.959805," ","integrate((1+x^(1/3))/(1+x^(1/4)),x, algorithm=""maxima"")","-4 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{\frac{1}{12}} - 1\right)}\right) + \frac{12}{13} \, x^{\frac{13}{12}} - \frac{6}{5} \, x^{\frac{5}{6}} + \frac{4}{3} \, x^{\frac{3}{4}} + \frac{12}{7} \, x^{\frac{7}{12}} - 2 \, \sqrt{x} - 3 \, x^{\frac{1}{3}} + 4 \, x^{\frac{1}{4}} + 12 \, x^{\frac{1}{12}} - 2 \, \log\left(x^{\frac{1}{6}} - x^{\frac{1}{12}} + 1\right) - 8 \, \log\left(x^{\frac{1}{12}} + 1\right)"," ",0,"-4*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/12) - 1)) + 12/13*x^(13/12) - 6/5*x^(5/6) + 4/3*x^(3/4) + 12/7*x^(7/12) - 2*sqrt(x) - 3*x^(1/3) + 4*x^(1/4) + 12*x^(1/12) - 2*log(x^(1/6) - x^(1/12) + 1) - 8*log(x^(1/12) + 1)","A",0
973,0,0,0,0.000000," ","integrate(x^2/(-1+x^2+(-x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{2} + \sqrt{-x^{2} + 1} - 1}\,{d x}"," ",0,"integrate(x^2/(x^2 + sqrt(-x^2 + 1) - 1), x)","F",0
974,1,50,0,0.438522," ","integrate(((1+x)/x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{\frac{x + 1}{x}}}{\frac{x + 1}{x} - 1} + \frac{1}{2} \, \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{\frac{x + 1}{x}} - 1\right)"," ",0,"sqrt((x + 1)/x)/((x + 1)/x - 1) + 1/2*log(sqrt((x + 1)/x) + 1) - 1/2*log(sqrt((x + 1)/x) - 1)","B",0
975,1,37,0,0.972122," ","integrate(((1-x)/x)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-\frac{x - 1}{x}}}{\frac{x - 1}{x} - 1} - \arctan\left(\sqrt{-\frac{x - 1}{x}}\right)"," ",0,"-sqrt(-(x - 1)/x)/((x - 1)/x - 1) - arctan(sqrt(-(x - 1)/x))","A",0
976,1,51,0,0.433436," ","integrate(((-1+x)/x)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{\frac{x - 1}{x}}}{\frac{x - 1}{x} - 1} - \frac{1}{2} \, \log\left(\sqrt{\frac{x - 1}{x}} + 1\right) + \frac{1}{2} \, \log\left(\sqrt{\frac{x - 1}{x}} - 1\right)"," ",0,"-sqrt((x - 1)/x)/((x - 1)/x - 1) - 1/2*log(sqrt((x - 1)/x) + 1) + 1/2*log(sqrt((x - 1)/x) - 1)","B",0
977,1,38,0,0.435188," ","integrate(((1+x)/x)^(1/2)/x,x, algorithm=""maxima"")","-2 \, \sqrt{\frac{x + 1}{x}} + \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) - \log\left(\sqrt{\frac{x + 1}{x}} - 1\right)"," ",0,"-2*sqrt((x + 1)/x) + log(sqrt((x + 1)/x) + 1) - log(sqrt((x + 1)/x) - 1)","A",0
978,1,51,0,0.441417," ","integrate((x/(1+x))^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{\frac{x}{x + 1}}}{\frac{x}{x + 1} - 1} - \frac{1}{2} \, \log\left(\sqrt{\frac{x}{x + 1}} + 1\right) + \frac{1}{2} \, \log\left(\sqrt{\frac{x}{x + 1}} - 1\right)"," ",0,"-sqrt(x/(x + 1))/(x/(x + 1) - 1) - 1/2*log(sqrt(x/(x + 1)) + 1) + 1/2*log(sqrt(x/(x + 1)) - 1)","B",0
979,1,35,0,0.973798," ","integrate(1/((-1-x)/x)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-\frac{x + 1}{x}}}{\frac{x + 1}{x} - 1} + \arctan\left(\sqrt{-\frac{x + 1}{x}}\right)"," ",0,"-sqrt(-(x + 1)/x)/((x + 1)/x - 1) + arctan(sqrt(-(x + 1)/x))","A",0
980,1,36,0,1.017406," ","integrate(((4-x)*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-x^{2} + 4 \, x} x - \sqrt{-x^{2} + 4 \, x} - 2 \, \arcsin\left(-\frac{1}{2} \, x + 1\right)"," ",0,"1/2*sqrt(-x^2 + 4*x)*x - sqrt(-x^2 + 4*x) - 2*arcsin(-1/2*x + 1)","A",0
981,1,6,0,0.963078," ","integrate(1/((1-x)*x)^(1/2),x, algorithm=""maxima"")","\arcsin\left(2 \, x - 1\right)"," ",0,"arcsin(2*x - 1)","A",0
982,1,11,0,0.425935," ","integrate(x/(x*(2+x))^(3/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{x^{2} + 2 \, x}}"," ",0,"x/sqrt(x^2 + 2*x)","A",0
983,0,0,0,0.000000," ","integrate((1+1/x)^(1/2)/(-x^2+1),x, algorithm=""maxima"")","-\int \frac{\sqrt{\frac{1}{x} + 1}}{x^{2} - 1}\,{d x}"," ",0,"-integrate(sqrt(1/x + 1)/(x^2 - 1), x)","F",0
984,1,11,0,0.975806," ","integrate(1/(1-x^2+5^(1/2)+x^2*5^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(\frac{1}{2} \, x {\left(\sqrt{5} - 1\right)}\right)"," ",0,"1/2*arctan(1/2*x*(sqrt(5) - 1))","A",0
985,1,27,0,0.438707," ","integrate(1/(b*x^2+a*x)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{\sqrt{b}}"," ",0,"log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/sqrt(b)","A",0
986,1,27,0,0.433537," ","integrate(1/(x*(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{\sqrt{b}}"," ",0,"log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/sqrt(b)","A",0
987,1,27,0,0.446355," ","integrate(1/((a/x+b)*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{\sqrt{b}}"," ",0,"log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/sqrt(b)","A",0
988,1,27,0,0.454664," ","integrate(1/((a/x^2+b/x)*x^3)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{\sqrt{b}}"," ",0,"log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/sqrt(b)","A",0
989,1,27,0,0.440169," ","integrate(1/((b*x^3+a*x^2)/x)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{\sqrt{b}}"," ",0,"log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/sqrt(b)","A",0
990,1,27,0,0.435681," ","integrate(1/((b*x^4+a*x^3)/x^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b x + a + 2 \, \sqrt{b x^{2} + a x} \sqrt{b}\right)}{\sqrt{b}}"," ",0,"log(2*b*x + a + 2*sqrt(b*x^2 + a*x)*sqrt(b))/sqrt(b)","A",0
991,1,36,0,0.443463," ","integrate(1/(b*c*x^2+a*c*x)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b c x + a c + 2 \, \sqrt{b c x^{2} + a c x} \sqrt{b c}\right)}{\sqrt{b c}}"," ",0,"log(2*b*c*x + a*c + 2*sqrt(b*c*x^2 + a*c*x)*sqrt(b*c))/sqrt(b*c)","A",0
992,1,36,0,0.444818," ","integrate(1/(c*(b*x^2+a*x))^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b c x + a c + 2 \, \sqrt{b c x^{2} + a c x} \sqrt{b c}\right)}{\sqrt{b c}}"," ",0,"log(2*b*c*x + a*c + 2*sqrt(b*c*x^2 + a*c*x)*sqrt(b*c))/sqrt(b*c)","A",0
993,1,36,0,0.456031," ","integrate(1/(c*x*(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b c x + a c + 2 \, \sqrt{b c x^{2} + a c x} \sqrt{b c}\right)}{\sqrt{b c}}"," ",0,"log(2*b*c*x + a*c + 2*sqrt(b*c*x^2 + a*c*x)*sqrt(b*c))/sqrt(b*c)","A",0
994,1,36,0,0.449493," ","integrate(1/(c*(a/x+b)*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b c x + a c + 2 \, \sqrt{b c x^{2} + a c x} \sqrt{b c}\right)}{\sqrt{b c}}"," ",0,"log(2*b*c*x + a*c + 2*sqrt(b*c*x^2 + a*c*x)*sqrt(b*c))/sqrt(b*c)","A",0
995,0,0,0,0.000000," ","integrate((1-x^2+x*(x^2-1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{2} + \sqrt{x^{2} - 1} x + 1}\,{d x}"," ",0,"integrate(sqrt(-x^2 + sqrt(x^2 - 1)*x + 1), x)","F",0
996,0,0,0,0.000000," ","integrate((-x+x^(1/2)*(1+x)^(1/2))^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + 1} \sqrt{x} - x}}{\sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + 1)*sqrt(x) - x)/sqrt(x + 1), x)","F",0
997,0,0,0,0.000000," ","integrate((-x-2*(x^2+1)^(1/2))/(x+x^3+(x^2+1)^(1/2)),x, algorithm=""maxima"")","-x - \frac{1}{2} \, \arctan\left(x\right) + \int \frac{2 \, x^{6} + 3 \, x^{4} - x^{2} - 1}{2 \, {\left(x^{6} + 2 \, x^{4} + 2 \, x^{2} + 2 \, {\left(x^{3} + x\right)} \sqrt{x^{2} + 1} + 1\right)}}\,{d x}"," ",0,"-x - 1/2*arctan(x) + integrate(1/2*(2*x^6 + 3*x^4 - x^2 - 1)/(x^6 + 2*x^4 + 2*x^2 + 2*(x^3 + x)*sqrt(x^2 + 1) + 1), x)","F",0
998,0,0,0,0.000000," ","integrate((1+2*x)/(x^2+1)/(x^2+2*x+2)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x + 1}{\sqrt{x^{2} + 2 \, x + 2} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((2*x + 1)/(sqrt(x^2 + 2*x + 2)*(x^2 + 1)), x)","F",0
999,0,0,0,0.000000," ","integrate(1/(x^4+1)/(-x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 1\right)} \sqrt{-x^{2} + \sqrt{x^{4} + 1}}}\,{d x}"," ",0,"integrate(1/((x^4 + 1)*sqrt(-x^2 + sqrt(x^4 + 1))), x)","F",0
1000,0,0,0,0.000000," ","integrate(1/(b*x^4+a)/(c*x^2+d*(b*x^4+a)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)} \sqrt{c x^{2} + \sqrt{b x^{4} + a} d}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)*sqrt(c*x^2 + sqrt(b*x^4 + a)*d)), x)","F",0
1001,0,0,0,0.000000," ","integrate(1/(b*x^4+a)/(-c*x^2+d*(b*x^4+a)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)} \sqrt{-c x^{2} + \sqrt{b x^{4} + a} d}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)*sqrt(-c*x^2 + sqrt(b*x^4 + a)*d)), x)","F",0
1002,0,0,0,0.000000," ","integrate(x/(b*d^4*x^4+4*b*c*d^3*x^3+6*b*c^2*d^2*x^2+4*b*c^3*d*x+b*c^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4} + a}}\,{d x}"," ",0,"integrate(x/sqrt(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4 + a), x)","F",0
1003,0,0,0,0.000000," ","integrate(1/(b*d^4*x^4+4*b*c*d^3*x^3+6*b*c^2*d^2*x^2+4*b*c^3*d*x+b*c^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4 + a), x)","F",0
1004,0,0,0,0.000000," ","integrate((-c*x^4+a)/(c*d*x^4+a*e*x^2+a*d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{c x^{4} - a}{{\left(c d x^{4} + a e x^{2} + a d\right)} \sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"-integrate((c*x^4 - a)/((c*d*x^4 + a*e*x^2 + a*d)*sqrt(c*x^4 + b*x^2 + a)), x)","F",0
1005,0,0,0,0.000000," ","integrate((-c*x^4+a)/(c*d*x^4+a*e*x^2+a*d)/(c*x^4-b*x^2+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{c x^{4} - a}{{\left(c d x^{4} + a e x^{2} + a d\right)} \sqrt{c x^{4} - b x^{2} + a}}\,{d x}"," ",0,"-integrate((c*x^4 - a)/((c*d*x^4 + a*e*x^2 + a*d)*sqrt(c*x^4 - b*x^2 + a)), x)","F",0
1006,0,0,0,0.000000," ","integrate(1/(x^3+8)/(x^2-2*x+5)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 8\right)} \sqrt{x^{2} - 2 \, x + 5}}\,{d x}"," ",0,"integrate(1/((x^3 + 8)*sqrt(x^2 - 2*x + 5)), x)","F",0
1007,1,7,0,1.084410," ","integrate((x^2/(x^2+1))^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} + 1}"," ",0,"sqrt(x^2 + 1)","A",0
1008,0,0,0,0.000000," ","integrate((x^n/(1+x^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\frac{x^{n}}{x^{n} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^n/(x^n + 1)), x)","F",0
1009,0,0,0,0.000000," ","integrate((-e*f*x^2+e*f)/(a*d*x^2+b*d*x+a*d)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{e f x^{2} - e f}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(a d x^{2} + b d x + a d\right)}}\,{d x}"," ",0,"-integrate((e*f*x^2 - e*f)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(a*d*x^2 + b*d*x + a*d)), x)","F",0
1010,0,0,0,0.000000," ","integrate((-e*f*x^2+e*f)/(-a*d*x^2+b*d*x-a*d)/(-a*x^4+b*x^3+c*x^2+b*x-a)^(1/2),x, algorithm=""maxima"")","\int \frac{e f x^{2} - e f}{\sqrt{-a x^{4} + b x^{3} + c x^{2} + b x - a} {\left(a d x^{2} - b d x + a d\right)}}\,{d x}"," ",0,"integrate((e*f*x^2 - e*f)/(sqrt(-a*x^4 + b*x^3 + c*x^2 + b*x - a)*(a*d*x^2 - b*d*x + a*d)), x)","F",0
1011,0,0,0,0.000000," ","integrate((a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2)/x/(-a/b^2+a^2*x^2/b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x}}{\sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} x}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)/(sqrt(a^2*x^2/b^2 - a/b^2)*x), x)","F",0
1012,0,0,0,0.000000," ","integrate((-a*x^2+b*x*(a/b^2+a^2*x^2/b^2)^(1/2))^(1/2)/x/(a/b^2+a^2*x^2/b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} + \frac{a}{b^{2}}} b x}}{\sqrt{\frac{a^{2} x^{2}}{b^{2}} + \frac{a}{b^{2}}} x}\,{d x}"," ",0,"integrate(sqrt(-a*x^2 + sqrt(a^2*x^2/b^2 + a/b^2)*b*x)/(sqrt(a^2*x^2/b^2 + a/b^2)*x), x)","F",0
1013,0,0,0,0.000000," ","integrate((x*(a*x+b*(-a/b^2+a^2*x^2/b^2)^(1/2)))^(1/2)/x/(-a/b^2+a^2*x^2/b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{{\left(a x + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b\right)} x}}{\sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} x}\,{d x}"," ",0,"integrate(sqrt((a*x + sqrt(a^2*x^2/b^2 - a/b^2)*b)*x)/(sqrt(a^2*x^2/b^2 - a/b^2)*x), x)","F",0
1014,0,0,0,0.000000," ","integrate((x*(b*(a/b^2+a^2*x^2/b^2)^(1/2)-a*x))^(1/2)/x/(a/b^2+a^2*x^2/b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-{\left(a x - \sqrt{\frac{a^{2} x^{2}}{b^{2}} + \frac{a}{b^{2}}} b\right)} x}}{\sqrt{\frac{a^{2} x^{2}}{b^{2}} + \frac{a}{b^{2}}} x}\,{d x}"," ",0,"integrate(sqrt(-(a*x - sqrt(a^2*x^2/b^2 + a/b^2)*b)*x)/(sqrt(a^2*x^2/b^2 + a/b^2)*x), x)","F",0
1015,1,94,0,0.654264," ","integrate((-(-4+x)^(1/2)+x*(-4+x)^(1/2)-4*(-1+x)^(1/2)+x*(-1+x)^(1/2))/(x^2-5*x+4)/(1+(-4+x)^(1/2)+(-1+x)^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x - 1\right) + \frac{1}{2} \, \log\left(\frac{2 \, x^{2} + 2 \, {\left({\left(x - 1\right)} \sqrt{x - 4} + 2 \, x - 6\right)} \sqrt{x - 1} + 2 \, {\left(2 \, x - 3\right)} \sqrt{x - 4} - 7 \, x + 3}{2 \, {\left({\left(x - 1\right)} \sqrt{x - 4} + 2 \, x - 6\right)}}\right) + \frac{1}{2} \, \log\left(\frac{{\left(x - 1\right)} \sqrt{x - 4} + 2 \, x - 6}{x - 1}\right)"," ",0,"1/2*log(x - 1) + 1/2*log(1/2*(2*x^2 + 2*((x - 1)*sqrt(x - 4) + 2*x - 6)*sqrt(x - 1) + 2*(2*x - 3)*sqrt(x - 4) - 7*x + 3)/((x - 1)*sqrt(x - 4) + 2*x - 6)) + 1/2*log(((x - 1)*sqrt(x - 4) + 2*x - 6)/(x - 1))","B",0
1016,0,0,0,0.000000," ","integrate(1/x/(x^2+3*x+3)/(x^3+3*x^2+3*x+3)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + 3 \, x^{2} + 3 \, x + 3\right)}^{\frac{1}{3}} {\left(x^{2} + 3 \, x + 3\right)} x}\,{d x}"," ",0,"integrate(1/((x^3 + 3*x^2 + 3*x + 3)^(1/3)*(x^2 + 3*x + 3)*x), x)","F",0
1017,0,0,0,0.000000," ","integrate((-x^2+1)/(x^2-x+1)/(-x^3+1)^(2/3),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{{\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{2} - x + 1\right)}}\,{d x}"," ",0,"-integrate((x^2 - 1)/((-x^3 + 1)^(2/3)*(x^2 - x + 1)), x)","F",0
1018,0,0,0,0.000000," ","integrate(x^2/(x^4+1)/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{4} + 1\right)} \sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate(x^2/((x^4 + 1)*sqrt(x^4 - 1)), x)","F",0
1019,0,0,0,0.000000," ","integrate((-c*x^4+a)/(c*d*x^2+a*e)/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{c x^{4} - a}{\sqrt{c x^{4} + b x^{2} + a} {\left(c d x^{2} + a e\right)} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"-integrate((c*x^4 - a)/(sqrt(c*x^4 + b*x^2 + a)*(c*d*x^2 + a*e)*(e*x^2 + d)), x)","F",0
1020,1,1,0,0.459791," ","integrate(x+(-x^2+1)/(1+x),x, algorithm=""maxima"")","x"," ",0,"x","A",0
1021,0,0,0,0.000000," ","integrate(1/(1/x+(-x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{2} + 1} + \frac{1}{x}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^2 + 1) + 1/x), x)","F",0
1022,0,0,0,0.000000," ","integrate(x*(-x^2+1)^(1/2)/(x-x^3+(-x^2+1)^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + \int -\frac{x^{4} - x^{2}}{x^{3} - x - \sqrt{x + 1} \sqrt{-x + 1}}\,{d x}"," ",0,"1/2*x^2 + integrate(-(x^4 - x^2)/(x^3 - x - sqrt(x + 1)*sqrt(-x + 1)), x)","F",0
1023,1,16,0,1.085758," ","integrate((-x^4+1)^n/((x^3+x^2+x+1)^n),x, algorithm=""maxima"")","\frac{{\left(x - 1\right)} {\left(-x + 1\right)}^{n}}{n + 1}"," ",0,"(x - 1)*(-x + 1)^n/(n + 1)","A",0
1024,0,0,0,0.000000," ","integrate(x/(5308416*c^4*x^4+576000*b^2*c^2*x^2+576000*b^3*c*x-44375*b^4)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{5308416 \, c^{4} x^{4} + 576000 \, b^{2} c^{2} x^{2} + 576000 \, b^{3} c x - 44375 \, b^{4}}}\,{d x}"," ",0,"integrate(x/sqrt(5308416*c^4*x^4 + 576000*b^2*c^2*x^2 + 576000*b^3*c*x - 44375*b^4), x)","F",0
1025,0,0,0,0.000000," ","integrate((1+4*x)/(64*x^4+64*x^3+64*x^2+120*x+9)^(1/2),x, algorithm=""maxima"")","\int \frac{4 \, x + 1}{\sqrt{64 \, x^{4} + 64 \, x^{3} + 64 \, x^{2} + 120 \, x + 9}}\,{d x}"," ",0,"integrate((4*x + 1)/sqrt(64*x^4 + 64*x^3 + 64*x^2 + 120*x + 9), x)","F",0
