1,1,12,0,0.097934," ","integrate(x**2*(b*x**3+a*x),x)","\frac{a x^{4}}{4} + \frac{b x^{6}}{6}"," ",0,"a*x**4/4 + b*x**6/6","A",0
2,1,12,0,0.084647," ","integrate(x*(b*x**3+a*x),x)","\frac{a x^{3}}{3} + \frac{b x^{5}}{5}"," ",0,"a*x**3/3 + b*x**5/5","A",0
3,1,12,0,0.059469," ","integrate(b*x**3+a*x,x)","\frac{a x^{2}}{2} + \frac{b x^{4}}{4}"," ",0,"a*x**2/2 + b*x**4/4","A",0
4,1,8,0,0.063760," ","integrate((b*x**3+a*x)/x,x)","a x + \frac{b x^{3}}{3}"," ",0,"a*x + b*x**3/3","A",0
5,1,10,0,0.110347," ","integrate((b*x**3+a*x)/x**2,x)","a \log{\left(x \right)} + \frac{b x^{2}}{2}"," ",0,"a*log(x) + b*x**2/2","A",0
6,1,26,0,0.071070," ","integrate(x**2*(b*x**3+a*x)**2,x)","\frac{a^{2} x^{5}}{5} + \frac{2 a b x^{7}}{7} + \frac{b^{2} x^{9}}{9}"," ",0,"a**2*x**5/5 + 2*a*b*x**7/7 + b**2*x**9/9","A",0
7,1,24,0,0.070831," ","integrate(x*(b*x**3+a*x)**2,x)","\frac{a^{2} x^{4}}{4} + \frac{a b x^{6}}{3} + \frac{b^{2} x^{8}}{8}"," ",0,"a**2*x**4/4 + a*b*x**6/3 + b**2*x**8/8","A",0
8,1,26,0,0.072573," ","integrate((b*x**3+a*x)**2,x)","\frac{a^{2} x^{3}}{3} + \frac{2 a b x^{5}}{5} + \frac{b^{2} x^{7}}{7}"," ",0,"a**2*x**3/3 + 2*a*b*x**5/5 + b**2*x**7/7","A",0
9,1,24,0,0.072949," ","integrate((b*x**3+a*x)**2/x,x)","\frac{a^{2} x^{2}}{2} + \frac{a b x^{4}}{2} + \frac{b^{2} x^{6}}{6}"," ",0,"a**2*x**2/2 + a*b*x**4/2 + b**2*x**6/6","B",0
10,1,22,0,0.077978," ","integrate((b*x**3+a*x)**2/x**2,x)","a^{2} x + \frac{2 a b x^{3}}{3} + \frac{b^{2} x^{5}}{5}"," ",0,"a**2*x + 2*a*b*x**3/3 + b**2*x**5/5","A",0
11,1,42,0,0.074313," ","integrate((3*x**3-4*x)**6,x)","\frac{729 x^{19}}{19} - \frac{5832 x^{17}}{17} + 1296 x^{15} - \frac{34560 x^{13}}{13} + \frac{34560 x^{11}}{11} - 2048 x^{9} + \frac{4096 x^{7}}{7}"," ",0,"729*x**19/19 - 5832*x**17/17 + 1296*x**15 - 34560*x**13/13 + 34560*x**11/11 - 2048*x**9 + 4096*x**7/7","A",0
12,1,20,0,0.152313," ","integrate(x**4/(b*x**3+a*x),x)","- \frac{a \log{\left(a + b x^{2} \right)}}{2 b^{2}} + \frac{x^{2}}{2 b}"," ",0,"-a*log(a + b*x**2)/(2*b**2) + x**2/(2*b)","A",0
13,1,56,0,0.166106," ","integrate(x**3/(b*x**3+a*x),x)","\frac{\sqrt{- \frac{a}{b^{3}}} \log{\left(- b \sqrt{- \frac{a}{b^{3}}} + x \right)}}{2} - \frac{\sqrt{- \frac{a}{b^{3}}} \log{\left(b \sqrt{- \frac{a}{b^{3}}} + x \right)}}{2} + \frac{x}{b}"," ",0,"sqrt(-a/b**3)*log(-b*sqrt(-a/b**3) + x)/2 - sqrt(-a/b**3)*log(b*sqrt(-a/b**3) + x)/2 + x/b","B",0
14,1,10,0,0.128448," ","integrate(x**2/(b*x**3+a*x),x)","\frac{\log{\left(a + b x^{2} \right)}}{2 b}"," ",0,"log(a + b*x**2)/(2*b)","A",0
15,1,53,0,0.146557," ","integrate(x/(b*x**3+a*x),x)","- \frac{\sqrt{- \frac{1}{a b}} \log{\left(- a \sqrt{- \frac{1}{a b}} + x \right)}}{2} + \frac{\sqrt{- \frac{1}{a b}} \log{\left(a \sqrt{- \frac{1}{a b}} + x \right)}}{2}"," ",0,"-sqrt(-1/(a*b))*log(-a*sqrt(-1/(a*b)) + x)/2 + sqrt(-1/(a*b))*log(a*sqrt(-1/(a*b)) + x)/2","B",0
16,1,15,0,0.211377," ","integrate(1/(b*x**3+a*x),x)","\frac{\log{\left(x \right)}}{a} - \frac{\log{\left(\frac{a}{b} + x^{2} \right)}}{2 a}"," ",0,"log(x)/a - log(a/b + x**2)/(2*a)","A",0
17,1,65,0,0.221764," ","integrate(1/x/(b*x**3+a*x),x)","\frac{\sqrt{- \frac{b}{a^{3}}} \log{\left(- \frac{a^{2} \sqrt{- \frac{b}{a^{3}}}}{b} + x \right)}}{2} - \frac{\sqrt{- \frac{b}{a^{3}}} \log{\left(\frac{a^{2} \sqrt{- \frac{b}{a^{3}}}}{b} + x \right)}}{2} - \frac{1}{a x}"," ",0,"sqrt(-b/a**3)*log(-a**2*sqrt(-b/a**3)/b + x)/2 - sqrt(-b/a**3)*log(a**2*sqrt(-b/a**3)/b + x)/2 - 1/(a*x)","B",0
18,1,31,0,0.291925," ","integrate(1/x**2/(b*x**3+a*x),x)","- \frac{1}{2 a x^{2}} - \frac{b \log{\left(x \right)}}{a^{2}} + \frac{b \log{\left(\frac{a}{b} + x^{2} \right)}}{2 a^{2}}"," ",0,"-1/(2*a*x**2) - b*log(x)/a**2 + b*log(a/b + x**2)/(2*a**2)","A",0
19,1,87,0,0.251715," ","integrate(1/x**3/(b*x**3+a*x),x)","- \frac{\sqrt{- \frac{b^{3}}{a^{5}}} \log{\left(- \frac{a^{3} \sqrt{- \frac{b^{3}}{a^{5}}}}{b^{2}} + x \right)}}{2} + \frac{\sqrt{- \frac{b^{3}}{a^{5}}} \log{\left(\frac{a^{3} \sqrt{- \frac{b^{3}}{a^{5}}}}{b^{2}} + x \right)}}{2} + \frac{- a + 3 b x^{2}}{3 a^{2} x^{3}}"," ",0,"-sqrt(-b**3/a**5)*log(-a**3*sqrt(-b**3/a**5)/b**2 + x)/2 + sqrt(-b**3/a**5)*log(a**3*sqrt(-b**3/a**5)/b**2 + x)/2 + (-a + 3*b*x**2)/(3*a**2*x**3)","B",0
20,1,42,0,0.335317," ","integrate(1/x**4/(b*x**3+a*x),x)","\frac{- a + 2 b x^{2}}{4 a^{2} x^{4}} + \frac{b^{2} \log{\left(x \right)}}{a^{3}} - \frac{b^{2} \log{\left(\frac{a}{b} + x^{2} \right)}}{2 a^{3}}"," ",0,"(-a + 2*b*x**2)/(4*a**2*x**4) + b**2*log(x)/a**3 - b**2*log(a/b + x**2)/(2*a**3)","A",0
21,1,78,0,0.236430," ","integrate(x**2/(b*x**3+a*x)**2,x)","\frac{x}{2 a^{2} + 2 a b x^{2}} - \frac{\sqrt{- \frac{1}{a^{3} b}} \log{\left(- a^{2} \sqrt{- \frac{1}{a^{3} b}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{a^{3} b}} \log{\left(a^{2} \sqrt{- \frac{1}{a^{3} b}} + x \right)}}{4}"," ",0,"x/(2*a**2 + 2*a*b*x**2) - sqrt(-1/(a**3*b))*log(-a**2*sqrt(-1/(a**3*b)) + x)/4 + sqrt(-1/(a**3*b))*log(a**2*sqrt(-1/(a**3*b)) + x)/4","B",0
22,1,34,0,0.334376," ","integrate(x/(b*x**3+a*x)**2,x)","\frac{1}{2 a^{2} + 2 a b x^{2}} + \frac{\log{\left(x \right)}}{a^{2}} - \frac{\log{\left(\frac{a}{b} + x^{2} \right)}}{2 a^{2}}"," ",0,"1/(2*a**2 + 2*a*b*x**2) + log(x)/a**2 - log(a/b + x**2)/(2*a**2)","A",0
23,1,92,0,0.328953," ","integrate(1/(b*x**3+a*x)**2,x)","\frac{3 \sqrt{- \frac{b}{a^{5}}} \log{\left(- \frac{a^{3} \sqrt{- \frac{b}{a^{5}}}}{b} + x \right)}}{4} - \frac{3 \sqrt{- \frac{b}{a^{5}}} \log{\left(\frac{a^{3} \sqrt{- \frac{b}{a^{5}}}}{b} + x \right)}}{4} + \frac{- 2 a - 3 b x^{2}}{2 a^{3} x + 2 a^{2} b x^{3}}"," ",0,"3*sqrt(-b/a**5)*log(-a**3*sqrt(-b/a**5)/b + x)/4 - 3*sqrt(-b/a**5)*log(a**3*sqrt(-b/a**5)/b + x)/4 + (-2*a - 3*b*x**2)/(2*a**3*x + 2*a**2*b*x**3)","A",0
24,1,51,0,0.411397," ","integrate(1/x/(b*x**3+a*x)**2,x)","\frac{- a - 2 b x^{2}}{2 a^{3} x^{2} + 2 a^{2} b x^{4}} - \frac{2 b \log{\left(x \right)}}{a^{3}} + \frac{b \log{\left(\frac{a}{b} + x^{2} \right)}}{a^{3}}"," ",0,"(-a - 2*b*x**2)/(2*a**3*x**2 + 2*a**2*b*x**4) - 2*b*log(x)/a**3 + b*log(a/b + x**2)/a**3","A",0
25,1,114,0,0.386400," ","integrate(1/x**2/(b*x**3+a*x)**2,x)","- \frac{5 \sqrt{- \frac{b^{3}}{a^{7}}} \log{\left(- \frac{a^{4} \sqrt{- \frac{b^{3}}{a^{7}}}}{b^{2}} + x \right)}}{4} + \frac{5 \sqrt{- \frac{b^{3}}{a^{7}}} \log{\left(\frac{a^{4} \sqrt{- \frac{b^{3}}{a^{7}}}}{b^{2}} + x \right)}}{4} + \frac{- 2 a^{2} + 10 a b x^{2} + 15 b^{2} x^{4}}{6 a^{4} x^{3} + 6 a^{3} b x^{5}}"," ",0,"-5*sqrt(-b**3/a**7)*log(-a**4*sqrt(-b**3/a**7)/b**2 + x)/4 + 5*sqrt(-b**3/a**7)*log(a**4*sqrt(-b**3/a**7)/b**2 + x)/4 + (-2*a**2 + 10*a*b*x**2 + 15*b**2*x**4)/(6*a**4*x**3 + 6*a**3*b*x**5)","A",0
26,1,19,0,0.107415," ","integrate(x**5/(-x**3+x),x)","- \frac{x^{3}}{3} - x - \frac{\log{\left(x - 1 \right)}}{2} + \frac{\log{\left(x + 1 \right)}}{2}"," ",0,"-x**3/3 - x - log(x - 1)/2 + log(x + 1)/2","B",0
27,1,14,0,0.084345," ","integrate(x**4/(-x**3+x),x)","- \frac{x^{2}}{2} - \frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"-x**2/2 - log(x**2 - 1)/2","A",0
28,1,14,0,0.107734," ","integrate(x**3/(-x**3+x),x)","- x - \frac{\log{\left(x - 1 \right)}}{2} + \frac{\log{\left(x + 1 \right)}}{2}"," ",0,"-x - log(x - 1)/2 + log(x + 1)/2","B",0
29,1,8,0,0.099149," ","integrate(x**2/(-x**3+x),x)","- \frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"-log(x**2 - 1)/2","A",0
30,1,12,0,0.116189," ","integrate(x/(-x**3+x),x)","- \frac{\log{\left(x - 1 \right)}}{2} + \frac{\log{\left(x + 1 \right)}}{2}"," ",0,"-log(x - 1)/2 + log(x + 1)/2","B",0
31,1,10,0,0.106319," ","integrate(1/(-x**3+x),x)","\log{\left(x \right)} - \frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"log(x) - log(x**2 - 1)/2","A",0
32,1,15,0,0.125278," ","integrate(1/x/(-x**3+x),x)","- \frac{\log{\left(x - 1 \right)}}{2} + \frac{\log{\left(x + 1 \right)}}{2} - \frac{1}{x}"," ",0,"-log(x - 1)/2 + log(x + 1)/2 - 1/x","B",0
33,1,17,0,0.113033," ","integrate(1/x**2/(-x**3+x),x)","\log{\left(x \right)} - \frac{\log{\left(x^{2} - 1 \right)}}{2} - \frac{1}{2 x^{2}}"," ",0,"log(x) - log(x**2 - 1)/2 - 1/(2*x**2)","A",0
34,1,24,0,0.136972," ","integrate(1/x**3/(-x**3+x),x)","- \frac{\log{\left(x - 1 \right)}}{2} + \frac{\log{\left(x + 1 \right)}}{2} - \frac{3 x^{2} + 1}{3 x^{3}}"," ",0,"-log(x - 1)/2 + log(x + 1)/2 - (3*x**2 + 1)/(3*x**3)","A",0
35,1,22,0,0.131464," ","integrate(1/x**4/(-x**3+x),x)","\log{\left(x \right)} - \frac{\log{\left(x^{2} - 1 \right)}}{2} - \frac{2 x^{2} + 1}{4 x^{4}}"," ",0,"log(x) - log(x**2 - 1)/2 - (2*x**2 + 1)/(4*x**4)","A",0
36,1,12,0,0.149571," ","integrate(1/(b*x**3+x),x)","\log{\left(x \right)} - \frac{\log{\left(x^{2} + \frac{1}{b} \right)}}{2}"," ",0,"log(x) - log(x**2 + 1/b)/2","A",0
37,1,12,0,0.143126," ","integrate(1/(b*x**3-x),x)","- \log{\left(x \right)} + \frac{\log{\left(x^{2} - \frac{1}{b} \right)}}{2}"," ",0,"-log(x) + log(x**2 - 1/b)/2","A",0
38,0,0,0,0.000000," ","integrate(x**3*(b*x**3+a*x)**(1/2),x)","\int x^{3} \sqrt{x \left(a + b x^{2}\right)}\, dx"," ",0,"Integral(x**3*sqrt(x*(a + b*x**2)), x)","F",0
39,0,0,0,0.000000," ","integrate(x**2*(b*x**3+a*x)**(1/2),x)","\int x^{2} \sqrt{x \left(a + b x^{2}\right)}\, dx"," ",0,"Integral(x**2*sqrt(x*(a + b*x**2)), x)","F",0
40,0,0,0,0.000000," ","integrate(x*(b*x**3+a*x)**(1/2),x)","\int x \sqrt{x \left(a + b x^{2}\right)}\, dx"," ",0,"Integral(x*sqrt(x*(a + b*x**2)), x)","F",0
41,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(1/2),x)","\int \sqrt{a x + b x^{3}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**3), x)","F",0
42,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(1/2)/x,x)","\int \frac{\sqrt{x \left(a + b x^{2}\right)}}{x}\, dx"," ",0,"Integral(sqrt(x*(a + b*x**2))/x, x)","F",0
43,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(1/2)/x**2,x)","\int \frac{\sqrt{x \left(a + b x^{2}\right)}}{x^{2}}\, dx"," ",0,"Integral(sqrt(x*(a + b*x**2))/x**2, x)","F",0
44,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(1/2)/x**3,x)","\int \frac{\sqrt{x \left(a + b x^{2}\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(x*(a + b*x**2))/x**3, x)","F",0
45,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(1/2)/x**4,x)","\int \frac{\sqrt{x \left(a + b x^{2}\right)}}{x^{4}}\, dx"," ",0,"Integral(sqrt(x*(a + b*x**2))/x**4, x)","F",0
46,0,0,0,0.000000," ","integrate(x**2*(b*x**3+a*x)**(3/2),x)","\int x^{2} \left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(x*(a + b*x**2))**(3/2), x)","F",0
47,0,0,0,0.000000," ","integrate(x*(b*x**3+a*x)**(3/2),x)","\int x \left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(x*(a + b*x**2))**(3/2), x)","F",0
48,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(3/2),x)","\int \left(a x + b x^{3}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*x + b*x**3)**(3/2), x)","F",0
49,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(3/2)/x,x)","\int \frac{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((x*(a + b*x**2))**(3/2)/x, x)","F",0
50,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(3/2)/x**2,x)","\int \frac{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((x*(a + b*x**2))**(3/2)/x**2, x)","F",0
51,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(3/2)/x**3,x)","\int \frac{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral((x*(a + b*x**2))**(3/2)/x**3, x)","F",0
52,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(3/2)/x**4,x)","\int \frac{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"Integral((x*(a + b*x**2))**(3/2)/x**4, x)","F",0
53,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(3/2)/x**5,x)","\int \frac{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}{x^{5}}\, dx"," ",0,"Integral((x*(a + b*x**2))**(3/2)/x**5, x)","F",0
54,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(3/2)/x**6,x)","\int \frac{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}{x^{6}}\, dx"," ",0,"Integral((x*(a + b*x**2))**(3/2)/x**6, x)","F",0
55,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(3/2)/x**7,x)","\int \frac{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}{x^{7}}\, dx"," ",0,"Integral((x*(a + b*x**2))**(3/2)/x**7, x)","F",0
56,0,0,0,0.000000," ","integrate((b*x**3+a*x)**(3/2)/x**8,x)","\int \frac{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}{x^{8}}\, dx"," ",0,"Integral((x*(a + b*x**2))**(3/2)/x**8, x)","F",0
57,0,0,0,0.000000," ","integrate(x**4/(b*x**3+a*x)**(1/2),x)","\int \frac{x^{4}}{\sqrt{x \left(a + b x^{2}\right)}}\, dx"," ",0,"Integral(x**4/sqrt(x*(a + b*x**2)), x)","F",0
58,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a*x)**(1/2),x)","\int \frac{x^{3}}{\sqrt{x \left(a + b x^{2}\right)}}\, dx"," ",0,"Integral(x**3/sqrt(x*(a + b*x**2)), x)","F",0
59,0,0,0,0.000000," ","integrate(x**2/(b*x**3+a*x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{x \left(a + b x^{2}\right)}}\, dx"," ",0,"Integral(x**2/sqrt(x*(a + b*x**2)), x)","F",0
60,0,0,0,0.000000," ","integrate(x/(b*x**3+a*x)**(1/2),x)","\int \frac{x}{\sqrt{x \left(a + b x^{2}\right)}}\, dx"," ",0,"Integral(x/sqrt(x*(a + b*x**2)), x)","F",0
61,0,0,0,0.000000," ","integrate(1/(b*x**3+a*x)**(1/2),x)","\int \frac{1}{\sqrt{a x + b x^{3}}}\, dx"," ",0,"Integral(1/sqrt(a*x + b*x**3), x)","F",0
62,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a*x)**(1/2),x)","\int \frac{1}{x \sqrt{x \left(a + b x^{2}\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(x*(a + b*x**2))), x)","F",0
63,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a*x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{x \left(a + b x^{2}\right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(x*(a + b*x**2))), x)","F",0
64,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a*x)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{x \left(a + b x^{2}\right)}}\, dx"," ",0,"Integral(1/(x**3*sqrt(x*(a + b*x**2))), x)","F",0
65,0,0,0,0.000000," ","integrate(x**7/(b*x**3+a*x)**(3/2),x)","\int \frac{x^{7}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**7/(x*(a + b*x**2))**(3/2), x)","F",0
66,0,0,0,0.000000," ","integrate(x**6/(b*x**3+a*x)**(3/2),x)","\int \frac{x^{6}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**6/(x*(a + b*x**2))**(3/2), x)","F",0
67,0,0,0,0.000000," ","integrate(x**5/(b*x**3+a*x)**(3/2),x)","\int \frac{x^{5}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5/(x*(a + b*x**2))**(3/2), x)","F",0
68,0,0,0,0.000000," ","integrate(x**4/(b*x**3+a*x)**(3/2),x)","\int \frac{x^{4}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4/(x*(a + b*x**2))**(3/2), x)","F",0
69,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a*x)**(3/2),x)","\int \frac{x^{3}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/(x*(a + b*x**2))**(3/2), x)","F",0
70,0,0,0,0.000000," ","integrate(x**2/(b*x**3+a*x)**(3/2),x)","\int \frac{x^{2}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(x*(a + b*x**2))**(3/2), x)","F",0
71,0,0,0,0.000000," ","integrate(x/(b*x**3+a*x)**(3/2),x)","\int \frac{x}{\left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(x*(a + b*x**2))**(3/2), x)","F",0
72,0,0,0,0.000000," ","integrate(1/(b*x**3+a*x)**(3/2),x)","\int \frac{1}{\left(a x + b x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x + b*x**3)**(-3/2), x)","F",0
73,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a*x)**(3/2),x)","\int \frac{1}{x \left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(x*(a + b*x**2))**(3/2)), x)","F",0
74,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a*x)**(3/2),x)","\int \frac{1}{x^{2} \left(x \left(a + b x^{2}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(x*(a + b*x**2))**(3/2)), x)","F",0
75,-1,0,0,0.000000," ","integrate(x**(29/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,-1,0,0,0.000000," ","integrate(x**(27/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,-1,0,0,0.000000," ","integrate(x**(25/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate(x**(23/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-1,0,0,0.000000," ","integrate(x**(21/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate(x**(19/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate(x**(17/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate(x**(15/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,-1,0,0,0.000000," ","integrate(x**(13/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,0,0,0,0.000000," ","integrate(x**(11/2)/(b*x**3+a*x)**(9/2),x)","\int \frac{x^{\frac{11}{2}}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{9}{2}}}\, dx"," ",0,"Integral(x**(11/2)/(x*(a + b*x**2))**(9/2), x)","F",0
85,-1,0,0,0.000000," ","integrate(x**(9/2)/(b*x**3+a*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,0,0,0,0.000000," ","integrate(x**(7/2)/(b*x**3+a*x)**(9/2),x)","\int \frac{x^{\frac{7}{2}}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{9}{2}}}\, dx"," ",0,"Integral(x**(7/2)/(x*(a + b*x**2))**(9/2), x)","F",0
87,0,0,0,0.000000," ","integrate(x**(5/2)/(b*x**3+a*x)**(9/2),x)","\int \frac{x^{\frac{5}{2}}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{9}{2}}}\, dx"," ",0,"Integral(x**(5/2)/(x*(a + b*x**2))**(9/2), x)","F",0
88,0,0,0,0.000000," ","integrate(x**(3/2)/(b*x**3+a*x)**(9/2),x)","\int \frac{x^{\frac{3}{2}}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{9}{2}}}\, dx"," ",0,"Integral(x**(3/2)/(x*(a + b*x**2))**(9/2), x)","F",0
89,0,0,0,0.000000," ","integrate(x**(1/2)/(b*x**3+a*x)**(9/2),x)","\int \frac{\sqrt{x}}{\left(x \left(a + b x^{2}\right)\right)^{\frac{9}{2}}}\, dx"," ",0,"Integral(sqrt(x)/(x*(a + b*x**2))**(9/2), x)","F",0
90,0,0,0,0.000000," ","integrate(1/x**(1/2)/(b*x**3+a*x)**(9/2),x)","\int \frac{1}{\sqrt{x} \left(x \left(a + b x^{2}\right)\right)^{\frac{9}{2}}}\, dx"," ",0,"Integral(1/(sqrt(x)*(x*(a + b*x**2))**(9/2)), x)","F",0
91,0,0,0,0.000000," ","integrate(1/x**(3/2)/(b*x**3+a*x)**(9/2),x)","\int \frac{1}{x^{\frac{3}{2}} \left(x \left(a + b x^{2}\right)\right)^{\frac{9}{2}}}\, dx"," ",0,"Integral(1/(x**(3/2)*(x*(a + b*x**2))**(9/2)), x)","F",0
92,0,0,0,0.000000," ","integrate(x**4/(b*x**4+a*x)**(1/2),x)","\int \frac{x^{4}}{\sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**4/sqrt(x*(a + b*x**3)), x)","F",0
93,0,0,0,0.000000," ","integrate(x/(b*x**4+a*x)**(1/2),x)","\int \frac{x}{\sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x/sqrt(x*(a + b*x**3)), x)","F",0
94,0,0,0,0.000000," ","integrate(1/x**2/(b*x**4+a*x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(x*(a + b*x**3))), x)","F",0
95,0,0,0,0.000000," ","integrate(1/x**5/(b*x**4+a*x)**(1/2),x)","\int \frac{1}{x^{5} \sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**5*sqrt(x*(a + b*x**3))), x)","F",0
96,0,0,0,0.000000," ","integrate(1/x**8/(b*x**4+a*x)**(1/2),x)","\int \frac{1}{x^{8} \sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**8*sqrt(x*(a + b*x**3))), x)","F",0
97,0,0,0,0.000000," ","integrate(x**3/(b*x**4+a*x)**(1/2),x)","\int \frac{x^{3}}{\sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**3/sqrt(x*(a + b*x**3)), x)","F",0
98,0,0,0,0.000000," ","integrate(1/(b*x**4+a*x)**(1/2),x)","\int \frac{1}{\sqrt{a x + b x^{4}}}\, dx"," ",0,"Integral(1/sqrt(a*x + b*x**4), x)","F",0
99,0,0,0,0.000000," ","integrate(1/x**3/(b*x**4+a*x)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**3*sqrt(x*(a + b*x**3))), x)","F",0
100,0,0,0,0.000000," ","integrate(x**5/(b*x**4+a*x)**(1/2),x)","\int \frac{x^{5}}{\sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**5/sqrt(x*(a + b*x**3)), x)","F",0
101,0,0,0,0.000000," ","integrate(x**2/(b*x**4+a*x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**2/sqrt(x*(a + b*x**3)), x)","F",0
102,0,0,0,0.000000," ","integrate(1/x/(b*x**4+a*x)**(1/2),x)","\int \frac{1}{x \sqrt{x \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(x*(a + b*x**3))), x)","F",0
103,0,0,0,0.000000," ","integrate(x**2/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(x**2/sqrt(a*x + b*sqrt(x)), x)","F",0
104,0,0,0,0.000000," ","integrate(x/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{x}{\sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(x/sqrt(a*x + b*sqrt(x)), x)","F",0
105,0,0,0,0.000000," ","integrate(1/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{1}{\sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(1/sqrt(a*x + b*sqrt(x)), x)","F",0
106,0,0,0,0.000000," ","integrate(1/x/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{1}{x \sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(1/(x*sqrt(a*x + b*sqrt(x))), x)","F",0
107,0,0,0,0.000000," ","integrate(1/x**2/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a*x + b*sqrt(x))), x)","F",0
108,0,0,0,0.000000," ","integrate(1/x**3/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(1/(x**3*sqrt(a*x + b*sqrt(x))), x)","F",0
109,0,0,0,0.000000," ","integrate(1/x**4/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{1}{x^{4} \sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(1/(x**4*sqrt(a*x + b*sqrt(x))), x)","F",0
110,0,0,0,0.000000," ","integrate(x**3/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{x^{3}}{\left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/(a*x + b*sqrt(x))**(3/2), x)","F",0
111,0,0,0,0.000000," ","integrate(x**2/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{x^{2}}{\left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(a*x + b*sqrt(x))**(3/2), x)","F",0
112,0,0,0,0.000000," ","integrate(x/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{x}{\left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(a*x + b*sqrt(x))**(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate(1/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{1}{\left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x + b*sqrt(x))**(-3/2), x)","F",0
114,0,0,0,0.000000," ","integrate(1/x/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{1}{x \left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(a*x + b*sqrt(x))**(3/2)), x)","F",0
115,0,0,0,0.000000," ","integrate(1/x**2/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{1}{x^{2} \left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a*x + b*sqrt(x))**(3/2)), x)","F",0
116,0,0,0,0.000000," ","integrate(1/x**3/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{1}{x^{3} \left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**3*(a*x + b*sqrt(x))**(3/2)), x)","F",0
117,0,0,0,0.000000," ","integrate(x**(5/2)/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{x^{\frac{5}{2}}}{\sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(x**(5/2)/sqrt(a*x + b*sqrt(x)), x)","F",0
118,0,0,0,0.000000," ","integrate(x**(3/2)/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{x^{\frac{3}{2}}}{\sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(x**(3/2)/sqrt(a*x + b*sqrt(x)), x)","F",0
119,0,0,0,0.000000," ","integrate(x**(1/2)/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(sqrt(x)/sqrt(a*x + b*sqrt(x)), x)","F",0
120,0,0,0,0.000000," ","integrate(1/x**(1/2)/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{1}{\sqrt{x} \sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(1/(sqrt(x)*sqrt(a*x + b*sqrt(x))), x)","F",0
121,0,0,0,0.000000," ","integrate(1/x**(3/2)/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{1}{x^{\frac{3}{2}} \sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(1/(x**(3/2)*sqrt(a*x + b*sqrt(x))), x)","F",0
122,0,0,0,0.000000," ","integrate(1/x**(5/2)/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{1}{x^{\frac{5}{2}} \sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(1/(x**(5/2)*sqrt(a*x + b*sqrt(x))), x)","F",0
123,0,0,0,0.000000," ","integrate(1/x**(7/2)/(b*x**(1/2)+a*x)**(1/2),x)","\int \frac{1}{x^{\frac{7}{2}} \sqrt{a x + b \sqrt{x}}}\, dx"," ",0,"Integral(1/(x**(7/2)*sqrt(a*x + b*sqrt(x))), x)","F",0
124,0,0,0,0.000000," ","integrate(x**(5/2)/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{x^{\frac{5}{2}}}{\left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**(5/2)/(a*x + b*sqrt(x))**(3/2), x)","F",0
125,0,0,0,0.000000," ","integrate(x**(3/2)/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{x^{\frac{3}{2}}}{\left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**(3/2)/(a*x + b*sqrt(x))**(3/2), x)","F",0
126,0,0,0,0.000000," ","integrate(x**(1/2)/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{\sqrt{x}}{\left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(x)/(a*x + b*sqrt(x))**(3/2), x)","F",0
127,0,0,0,0.000000," ","integrate(1/x**(1/2)/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{1}{\sqrt{x} \left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(x)*(a*x + b*sqrt(x))**(3/2)), x)","F",0
128,0,0,0,0.000000," ","integrate(1/x**(3/2)/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{1}{x^{\frac{3}{2}} \left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**(3/2)*(a*x + b*sqrt(x))**(3/2)), x)","F",0
129,0,0,0,0.000000," ","integrate(1/x**(5/2)/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{1}{x^{\frac{5}{2}} \left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**(5/2)*(a*x + b*sqrt(x))**(3/2)), x)","F",0
130,0,0,0,0.000000," ","integrate(1/x**(7/2)/(b*x**(1/2)+a*x)**(3/2),x)","\int \frac{1}{x^{\frac{7}{2}} \left(a x + b \sqrt{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**(7/2)*(a*x + b*sqrt(x))**(3/2)), x)","F",0
131,0,0,0,0.000000," ","integrate(x**3*(b*x**(1/3)+a*x)**(1/2),x)","\int x^{3} \sqrt{a x + b \sqrt[3]{x}}\, dx"," ",0,"Integral(x**3*sqrt(a*x + b*x**(1/3)), x)","F",0
132,0,0,0,0.000000," ","integrate(x**2*(b*x**(1/3)+a*x)**(1/2),x)","\int x^{2} \sqrt{a x + b \sqrt[3]{x}}\, dx"," ",0,"Integral(x**2*sqrt(a*x + b*x**(1/3)), x)","F",0
133,0,0,0,0.000000," ","integrate(x*(b*x**(1/3)+a*x)**(1/2),x)","\int x \sqrt{a x + b \sqrt[3]{x}}\, dx"," ",0,"Integral(x*sqrt(a*x + b*x**(1/3)), x)","F",0
134,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(1/2),x)","\int \sqrt{a x + b \sqrt[3]{x}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(1/3)), x)","F",0
135,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(1/2)/x,x)","\int \frac{\sqrt{a x + b \sqrt[3]{x}}}{x}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(1/3))/x, x)","F",0
136,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(1/2)/x**2,x)","\int \frac{\sqrt{a x + b \sqrt[3]{x}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(1/3))/x**2, x)","F",0
137,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(1/2)/x**3,x)","\int \frac{\sqrt{a x + b \sqrt[3]{x}}}{x^{3}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(1/3))/x**3, x)","F",0
138,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(1/2)/x**4,x)","\int \frac{\sqrt{a x + b \sqrt[3]{x}}}{x^{4}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(1/3))/x**4, x)","F",0
139,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(1/2)/x**5,x)","\int \frac{\sqrt{a x + b \sqrt[3]{x}}}{x^{5}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(1/3))/x**5, x)","F",0
140,0,0,0,0.000000," ","integrate(x**2*(b*x**(1/3)+a*x)**(3/2),x)","\int x^{2} \left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(a*x + b*x**(1/3))**(3/2), x)","F",0
141,0,0,0,0.000000," ","integrate(x*(b*x**(1/3)+a*x)**(3/2),x)","\int x \left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(a*x + b*x**(1/3))**(3/2), x)","F",0
142,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(3/2),x)","\int \left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*x + b*x**(1/3))**(3/2), x)","F",0
143,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(3/2)/x,x)","\int \frac{\left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((a*x + b*x**(1/3))**(3/2)/x, x)","F",0
144,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(3/2)/x**2,x)","\int \frac{\left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((a*x + b*x**(1/3))**(3/2)/x**2, x)","F",0
145,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(3/2)/x**3,x)","\int \frac{\left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral((a*x + b*x**(1/3))**(3/2)/x**3, x)","F",0
146,0,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(3/2)/x**4,x)","\int \frac{\left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"Integral((a*x + b*x**(1/3))**(3/2)/x**4, x)","F",0
147,-1,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(3/2)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
148,-1,0,0,0.000000," ","integrate((b*x**(1/3)+a*x)**(3/2)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,0,0,0,0.000000," ","integrate(x**4/(b*x**(1/3)+a*x)**(1/2),x)","\int \frac{x^{4}}{\sqrt{a x + b \sqrt[3]{x}}}\, dx"," ",0,"Integral(x**4/sqrt(a*x + b*x**(1/3)), x)","F",0
150,0,0,0,0.000000," ","integrate(x**3/(b*x**(1/3)+a*x)**(1/2),x)","\int \frac{x^{3}}{\sqrt{a x + b \sqrt[3]{x}}}\, dx"," ",0,"Integral(x**3/sqrt(a*x + b*x**(1/3)), x)","F",0
151,0,0,0,0.000000," ","integrate(x**2/(b*x**(1/3)+a*x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{a x + b \sqrt[3]{x}}}\, dx"," ",0,"Integral(x**2/sqrt(a*x + b*x**(1/3)), x)","F",0
152,0,0,0,0.000000," ","integrate(x/(b*x**(1/3)+a*x)**(1/2),x)","\int \frac{x}{\sqrt{a x + b \sqrt[3]{x}}}\, dx"," ",0,"Integral(x/sqrt(a*x + b*x**(1/3)), x)","F",0
153,0,0,0,0.000000," ","integrate(1/(b*x**(1/3)+a*x)**(1/2),x)","\int \frac{1}{\sqrt{a x + b \sqrt[3]{x}}}\, dx"," ",0,"Integral(1/sqrt(a*x + b*x**(1/3)), x)","F",0
154,0,0,0,0.000000," ","integrate(1/x/(b*x**(1/3)+a*x)**(1/2),x)","\int \frac{1}{x \sqrt{a x + b \sqrt[3]{x}}}\, dx"," ",0,"Integral(1/(x*sqrt(a*x + b*x**(1/3))), x)","F",0
155,0,0,0,0.000000," ","integrate(1/x**2/(b*x**(1/3)+a*x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a x + b \sqrt[3]{x}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a*x + b*x**(1/3))), x)","F",0
156,0,0,0,0.000000," ","integrate(1/x**3/(b*x**(1/3)+a*x)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{a x + b \sqrt[3]{x}}}\, dx"," ",0,"Integral(1/(x**3*sqrt(a*x + b*x**(1/3))), x)","F",0
157,0,0,0,0.000000," ","integrate(1/x**4/(b*x**(1/3)+a*x)**(1/2),x)","\int \frac{1}{x^{4} \sqrt{a x + b \sqrt[3]{x}}}\, dx"," ",0,"Integral(1/(x**4*sqrt(a*x + b*x**(1/3))), x)","F",0
158,0,0,0,0.000000," ","integrate(x**4/(b*x**(1/3)+a*x)**(3/2),x)","\int \frac{x^{4}}{\left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4/(a*x + b*x**(1/3))**(3/2), x)","F",0
159,0,0,0,0.000000," ","integrate(x**3/(b*x**(1/3)+a*x)**(3/2),x)","\int \frac{x^{3}}{\left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/(a*x + b*x**(1/3))**(3/2), x)","F",0
160,0,0,0,0.000000," ","integrate(x**2/(b*x**(1/3)+a*x)**(3/2),x)","\int \frac{x^{2}}{\left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(a*x + b*x**(1/3))**(3/2), x)","F",0
161,0,0,0,0.000000," ","integrate(x/(b*x**(1/3)+a*x)**(3/2),x)","\int \frac{x}{\left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(a*x + b*x**(1/3))**(3/2), x)","F",0
162,0,0,0,0.000000," ","integrate(1/(b*x**(1/3)+a*x)**(3/2),x)","\int \frac{1}{\left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x + b*x**(1/3))**(-3/2), x)","F",0
163,0,0,0,0.000000," ","integrate(1/x/(b*x**(1/3)+a*x)**(3/2),x)","\int \frac{1}{x \left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(a*x + b*x**(1/3))**(3/2)), x)","F",0
164,0,0,0,0.000000," ","integrate(1/x**2/(b*x**(1/3)+a*x)**(3/2),x)","\int \frac{1}{x^{2} \left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a*x + b*x**(1/3))**(3/2)), x)","F",0
165,0,0,0,0.000000," ","integrate(1/x**3/(b*x**(1/3)+a*x)**(3/2),x)","\int \frac{1}{x^{3} \left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**3*(a*x + b*x**(1/3))**(3/2)), x)","F",0
166,0,0,0,0.000000," ","integrate(1/x**4/(b*x**(1/3)+a*x)**(3/2),x)","\int \frac{1}{x^{4} \left(a x + b \sqrt[3]{x}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**4*(a*x + b*x**(1/3))**(3/2)), x)","F",0
167,0,0,0,0.000000," ","integrate(x**3*(b*x**(2/3)+a*x)**(1/2),x)","\int x^{3} \sqrt{a x + b x^{\frac{2}{3}}}\, dx"," ",0,"Integral(x**3*sqrt(a*x + b*x**(2/3)), x)","F",0
168,0,0,0,0.000000," ","integrate(x**2*(b*x**(2/3)+a*x)**(1/2),x)","\int x^{2} \sqrt{a x + b x^{\frac{2}{3}}}\, dx"," ",0,"Integral(x**2*sqrt(a*x + b*x**(2/3)), x)","F",0
169,0,0,0,0.000000," ","integrate(x*(b*x**(2/3)+a*x)**(1/2),x)","\int x \sqrt{a x + b x^{\frac{2}{3}}}\, dx"," ",0,"Integral(x*sqrt(a*x + b*x**(2/3)), x)","F",0
170,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(1/2),x)","\int \sqrt{a x + b x^{\frac{2}{3}}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(2/3)), x)","F",0
171,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(1/2)/x,x)","\int \frac{\sqrt{a x + b x^{\frac{2}{3}}}}{x}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(2/3))/x, x)","F",0
172,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(1/2)/x**2,x)","\int \frac{\sqrt{a x + b x^{\frac{2}{3}}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(2/3))/x**2, x)","F",0
173,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(1/2)/x**3,x)","\int \frac{\sqrt{a x + b x^{\frac{2}{3}}}}{x^{3}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(2/3))/x**3, x)","F",0
174,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(1/2)/x**4,x)","\int \frac{\sqrt{a x + b x^{\frac{2}{3}}}}{x^{4}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(2/3))/x**4, x)","F",0
175,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(1/2)/x**5,x)","\int \frac{\sqrt{a x + b x^{\frac{2}{3}}}}{x^{5}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**(2/3))/x**5, x)","F",0
176,0,0,0,0.000000," ","integrate(x**2*(b*x**(2/3)+a*x)**(3/2),x)","\int x^{2} \left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(a*x + b*x**(2/3))**(3/2), x)","F",0
177,0,0,0,0.000000," ","integrate(x*(b*x**(2/3)+a*x)**(3/2),x)","\int x \left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(a*x + b*x**(2/3))**(3/2), x)","F",0
178,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(3/2),x)","\int \left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*x + b*x**(2/3))**(3/2), x)","F",0
179,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(3/2)/x,x)","\int \frac{\left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((a*x + b*x**(2/3))**(3/2)/x, x)","F",0
180,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(3/2)/x**2,x)","\int \frac{\left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((a*x + b*x**(2/3))**(3/2)/x**2, x)","F",0
181,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(3/2)/x**3,x)","\int \frac{\left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral((a*x + b*x**(2/3))**(3/2)/x**3, x)","F",0
182,0,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(3/2)/x**4,x)","\int \frac{\left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"Integral((a*x + b*x**(2/3))**(3/2)/x**4, x)","F",0
183,-1,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(3/2)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate((b*x**(2/3)+a*x)**(3/2)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,0,0,0,0.000000," ","integrate(x**4/(b*x**(2/3)+a*x)**(1/2),x)","\int \frac{x^{4}}{\sqrt{a x + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral(x**4/sqrt(a*x + b*x**(2/3)), x)","F",0
186,0,0,0,0.000000," ","integrate(x**3/(b*x**(2/3)+a*x)**(1/2),x)","\int \frac{x^{3}}{\sqrt{a x + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral(x**3/sqrt(a*x + b*x**(2/3)), x)","F",0
187,0,0,0,0.000000," ","integrate(x**2/(b*x**(2/3)+a*x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{a x + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral(x**2/sqrt(a*x + b*x**(2/3)), x)","F",0
188,0,0,0,0.000000," ","integrate(x/(b*x**(2/3)+a*x)**(1/2),x)","\int \frac{x}{\sqrt{a x + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral(x/sqrt(a*x + b*x**(2/3)), x)","F",0
189,0,0,0,0.000000," ","integrate(1/(b*x**(2/3)+a*x)**(1/2),x)","\int \frac{1}{\sqrt{a x + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral(1/sqrt(a*x + b*x**(2/3)), x)","F",0
190,0,0,0,0.000000," ","integrate(1/x/(b*x**(2/3)+a*x)**(1/2),x)","\int \frac{1}{x \sqrt{a x + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral(1/(x*sqrt(a*x + b*x**(2/3))), x)","F",0
191,0,0,0,0.000000," ","integrate(1/x**2/(b*x**(2/3)+a*x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a x + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a*x + b*x**(2/3))), x)","F",0
192,0,0,0,0.000000," ","integrate(1/x**3/(b*x**(2/3)+a*x)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{a x + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral(1/(x**3*sqrt(a*x + b*x**(2/3))), x)","F",0
193,0,0,0,0.000000," ","integrate(1/x**4/(b*x**(2/3)+a*x)**(1/2),x)","\int \frac{1}{x^{4} \sqrt{a x + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral(1/(x**4*sqrt(a*x + b*x**(2/3))), x)","F",0
194,0,0,0,0.000000," ","integrate(x**4/(b*x**(2/3)+a*x)**(3/2),x)","\int \frac{x^{4}}{\left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4/(a*x + b*x**(2/3))**(3/2), x)","F",0
195,0,0,0,0.000000," ","integrate(x**3/(b*x**(2/3)+a*x)**(3/2),x)","\int \frac{x^{3}}{\left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/(a*x + b*x**(2/3))**(3/2), x)","F",0
196,0,0,0,0.000000," ","integrate(x**2/(b*x**(2/3)+a*x)**(3/2),x)","\int \frac{x^{2}}{\left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(a*x + b*x**(2/3))**(3/2), x)","F",0
197,0,0,0,0.000000," ","integrate(x/(b*x**(2/3)+a*x)**(3/2),x)","\int \frac{x}{\left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(a*x + b*x**(2/3))**(3/2), x)","F",0
198,0,0,0,0.000000," ","integrate(1/(b*x**(2/3)+a*x)**(3/2),x)","\int \frac{1}{\left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x + b*x**(2/3))**(-3/2), x)","F",0
199,0,0,0,0.000000," ","integrate(1/x/(b*x**(2/3)+a*x)**(3/2),x)","\int \frac{1}{x \left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(a*x + b*x**(2/3))**(3/2)), x)","F",0
200,0,0,0,0.000000," ","integrate(1/x**2/(b*x**(2/3)+a*x)**(3/2),x)","\int \frac{1}{x^{2} \left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a*x + b*x**(2/3))**(3/2)), x)","F",0
201,0,0,0,0.000000," ","integrate(1/x**3/(b*x**(2/3)+a*x)**(3/2),x)","\int \frac{1}{x^{3} \left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**3*(a*x + b*x**(2/3))**(3/2)), x)","F",0
202,0,0,0,0.000000," ","integrate(1/x**4/(b*x**(2/3)+a*x)**(3/2),x)","\int \frac{1}{x^{4} \left(a x + b x^{\frac{2}{3}}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**4*(a*x + b*x**(2/3))**(3/2)), x)","F",0
203,1,12,0,0.061154," ","integrate(x**2*(b*x**3+a*x**2),x)","\frac{a x^{5}}{5} + \frac{b x^{6}}{6}"," ",0,"a*x**5/5 + b*x**6/6","A",0
204,1,12,0,0.060577," ","integrate(x*(b*x**3+a*x**2),x)","\frac{a x^{4}}{4} + \frac{b x^{5}}{5}"," ",0,"a*x**4/4 + b*x**5/5","A",0
205,1,12,0,0.066670," ","integrate(b*x**3+a*x**2,x)","\frac{a x^{3}}{3} + \frac{b x^{4}}{4}"," ",0,"a*x**3/3 + b*x**4/4","A",0
206,1,12,0,0.061536," ","integrate((b*x**3+a*x**2)/x,x)","\frac{a x^{2}}{2} + \frac{b x^{3}}{3}"," ",0,"a*x**2/2 + b*x**3/3","A",0
207,1,8,0,0.062350," ","integrate((b*x**3+a*x**2)/x**2,x)","a x + \frac{b x^{2}}{2}"," ",0,"a*x + b*x**2/2","A",0
208,1,24,0,0.069519," ","integrate(x**2*(b*x**3+a*x**2)**2,x)","\frac{a^{2} x^{7}}{7} + \frac{a b x^{8}}{4} + \frac{b^{2} x^{9}}{9}"," ",0,"a**2*x**7/7 + a*b*x**8/4 + b**2*x**9/9","A",0
209,1,26,0,0.070357," ","integrate(x*(b*x**3+a*x**2)**2,x)","\frac{a^{2} x^{6}}{6} + \frac{2 a b x^{7}}{7} + \frac{b^{2} x^{8}}{8}"," ",0,"a**2*x**6/6 + 2*a*b*x**7/7 + b**2*x**8/8","A",0
210,1,24,0,0.070196," ","integrate((b*x**3+a*x**2)**2,x)","\frac{a^{2} x^{5}}{5} + \frac{a b x^{6}}{3} + \frac{b^{2} x^{7}}{7}"," ",0,"a**2*x**5/5 + a*b*x**6/3 + b**2*x**7/7","A",0
211,1,26,0,0.071567," ","integrate((b*x**3+a*x**2)**2/x,x)","\frac{a^{2} x^{4}}{4} + \frac{2 a b x^{5}}{5} + \frac{b^{2} x^{6}}{6}"," ",0,"a**2*x**4/4 + 2*a*b*x**5/5 + b**2*x**6/6","A",0
212,1,24,0,0.069938," ","integrate((b*x**3+a*x**2)**2/x**2,x)","\frac{a^{2} x^{3}}{3} + \frac{a b x^{4}}{2} + \frac{b^{2} x^{5}}{5}"," ",0,"a**2*x**3/3 + a*b*x**4/2 + b**2*x**5/5","A",0
213,1,49,0,0.143085," ","integrate(x**6/(b*x**3+a*x**2),x)","\frac{a^{4} \log{\left(a + b x \right)}}{b^{5}} - \frac{a^{3} x}{b^{4}} + \frac{a^{2} x^{2}}{2 b^{3}} - \frac{a x^{3}}{3 b^{2}} + \frac{x^{4}}{4 b}"," ",0,"a**4*log(a + b*x)/b**5 - a**3*x/b**4 + a**2*x**2/(2*b**3) - a*x**3/(3*b**2) + x**4/(4*b)","A",0
214,1,37,0,0.131053," ","integrate(x**5/(b*x**3+a*x**2),x)","- \frac{a^{3} \log{\left(a + b x \right)}}{b^{4}} + \frac{a^{2} x}{b^{3}} - \frac{a x^{2}}{2 b^{2}} + \frac{x^{3}}{3 b}"," ",0,"-a**3*log(a + b*x)/b**4 + a**2*x/b**3 - a*x**2/(2*b**2) + x**3/(3*b)","A",0
215,1,26,0,0.120143," ","integrate(x**4/(b*x**3+a*x**2),x)","\frac{a^{2} \log{\left(a + b x \right)}}{b^{3}} - \frac{a x}{b^{2}} + \frac{x^{2}}{2 b}"," ",0,"a**2*log(a + b*x)/b**3 - a*x/b**2 + x**2/(2*b)","A",0
216,1,14,0,0.114416," ","integrate(x**3/(b*x**3+a*x**2),x)","- \frac{a \log{\left(a + b x \right)}}{b^{2}} + \frac{x}{b}"," ",0,"-a*log(a + b*x)/b**2 + x/b","A",0
217,1,7,0,0.071264," ","integrate(x**2/(b*x**3+a*x**2),x)","\frac{\log{\left(a + b x \right)}}{b}"," ",0,"log(a + b*x)/b","A",0
218,1,10,0,0.164444," ","integrate(x/(b*x**3+a*x**2),x)","\frac{\log{\left(x \right)} - \log{\left(\frac{a}{b} + x \right)}}{a}"," ",0,"(log(x) - log(a/b + x))/a","A",0
219,1,19,0,0.197918," ","integrate(1/(b*x**3+a*x**2),x)","- \frac{1}{a x} + \frac{b \left(- \log{\left(x \right)} + \log{\left(\frac{a}{b} + x \right)}\right)}{a^{2}}"," ",0,"-1/(a*x) + b*(-log(x) + log(a/b + x))/a**2","A",0
220,1,31,0,0.214335," ","integrate(1/x/(b*x**3+a*x**2),x)","\frac{- a + 2 b x}{2 a^{2} x^{2}} + \frac{b^{2} \left(\log{\left(x \right)} - \log{\left(\frac{a}{b} + x \right)}\right)}{a^{3}}"," ",0,"(-a + 2*b*x)/(2*a**2*x**2) + b**2*(log(x) - log(a/b + x))/a**3","A",0
221,1,44,0,0.235285," ","integrate(1/x**2/(b*x**3+a*x**2),x)","\frac{- 2 a^{2} + 3 a b x - 6 b^{2} x^{2}}{6 a^{3} x^{3}} + \frac{b^{3} \left(- \log{\left(x \right)} + \log{\left(\frac{a}{b} + x \right)}\right)}{a^{4}}"," ",0,"(-2*a**2 + 3*a*b*x - 6*b**2*x**2)/(6*a**3*x**3) + b**3*(-log(x) + log(a/b + x))/a**4","A",0
222,1,54,0,0.210429," ","integrate(x**8/(b*x**3+a*x**2)**2,x)","- \frac{a^{4}}{a b^{5} + b^{6} x} - \frac{4 a^{3} \log{\left(a + b x \right)}}{b^{5}} + \frac{3 a^{2} x}{b^{4}} - \frac{a x^{2}}{b^{3}} + \frac{x^{3}}{3 b^{2}}"," ",0,"-a**4/(a*b**5 + b**6*x) - 4*a**3*log(a + b*x)/b**5 + 3*a**2*x/b**4 - a*x**2/b**3 + x**3/(3*b**2)","A",0
223,1,44,0,0.206661," ","integrate(x**7/(b*x**3+a*x**2)**2,x)","\frac{a^{3}}{a b^{4} + b^{5} x} + \frac{3 a^{2} \log{\left(a + b x \right)}}{b^{4}} - \frac{2 a x}{b^{3}} + \frac{x^{2}}{2 b^{2}}"," ",0,"a**3/(a*b**4 + b**5*x) + 3*a**2*log(a + b*x)/b**4 - 2*a*x/b**3 + x**2/(2*b**2)","A",0
224,1,31,0,0.183485," ","integrate(x**6/(b*x**3+a*x**2)**2,x)","- \frac{a^{2}}{a b^{3} + b^{4} x} - \frac{2 a \log{\left(a + b x \right)}}{b^{3}} + \frac{x}{b^{2}}"," ",0,"-a**2/(a*b**3 + b**4*x) - 2*a*log(a + b*x)/b**3 + x/b**2","A",0
225,1,20,0,0.140961," ","integrate(x**5/(b*x**3+a*x**2)**2,x)","\frac{a}{a b^{2} + b^{3} x} + \frac{\log{\left(a + b x \right)}}{b^{2}}"," ",0,"a/(a*b**2 + b**3*x) + log(a + b*x)/b**2","A",0
226,1,10,0,0.141370," ","integrate(x**4/(b*x**3+a*x**2)**2,x)","- \frac{1}{a b + b^{2} x}"," ",0,"-1/(a*b + b**2*x)","A",0
227,1,22,0,0.218936," ","integrate(x**3/(b*x**3+a*x**2)**2,x)","\frac{1}{a^{2} + a b x} + \frac{\log{\left(x \right)} - \log{\left(\frac{a}{b} + x \right)}}{a^{2}}"," ",0,"1/(a**2 + a*b*x) + (log(x) - log(a/b + x))/a**2","A",0
228,1,37,0,0.272043," ","integrate(x**2/(b*x**3+a*x**2)**2,x)","\frac{- a - 2 b x}{a^{3} x + a^{2} b x^{2}} + \frac{2 b \left(- \log{\left(x \right)} + \log{\left(\frac{a}{b} + x \right)}\right)}{a^{3}}"," ",0,"(-a - 2*b*x)/(a**3*x + a**2*b*x**2) + 2*b*(-log(x) + log(a/b + x))/a**3","A",0
229,1,54,0,0.311027," ","integrate(x/(b*x**3+a*x**2)**2,x)","\frac{- a^{2} + 3 a b x + 6 b^{2} x^{2}}{2 a^{4} x^{2} + 2 a^{3} b x^{3}} + \frac{3 b^{2} \left(\log{\left(x \right)} - \log{\left(\frac{a}{b} + x \right)}\right)}{a^{4}}"," ",0,"(-a**2 + 3*a*b*x + 6*b**2*x**2)/(2*a**4*x**2 + 2*a**3*b*x**3) + 3*b**2*(log(x) - log(a/b + x))/a**4","A",0
230,1,66,0,0.330478," ","integrate(1/(b*x**3+a*x**2)**2,x)","\frac{- a^{3} + 2 a^{2} b x - 6 a b^{2} x^{2} - 12 b^{3} x^{3}}{3 a^{5} x^{3} + 3 a^{4} b x^{4}} + \frac{4 b^{3} \left(- \log{\left(x \right)} + \log{\left(\frac{a}{b} + x \right)}\right)}{a^{5}}"," ",0,"(-a**3 + 2*a**2*b*x - 6*a*b**2*x**2 - 12*b**3*x**3)/(3*a**5*x**3 + 3*a**4*b*x**4) + 4*b**3*(-log(x) + log(a/b + x))/a**5","A",0
231,1,80,0,0.362015," ","integrate(1/x/(b*x**3+a*x**2)**2,x)","\frac{- 3 a^{4} + 5 a^{3} b x - 10 a^{2} b^{2} x^{2} + 30 a b^{3} x^{3} + 60 b^{4} x^{4}}{12 a^{6} x^{4} + 12 a^{5} b x^{5}} + \frac{5 b^{4} \left(\log{\left(x \right)} - \log{\left(\frac{a}{b} + x \right)}\right)}{a^{6}}"," ",0,"(-3*a**4 + 5*a**3*b*x - 10*a**2*b**2*x**2 + 30*a*b**3*x**3 + 60*b**4*x**4)/(12*a**6*x**4 + 12*a**5*b*x**5) + 5*b**4*(log(x) - log(a/b + x))/a**6","A",0
232,0,0,0,0.000000," ","integrate(x**2*(b*x**3+a*x**2)**(1/2),x)","\int x^{2} \sqrt{x^{2} \left(a + b x\right)}\, dx"," ",0,"Integral(x**2*sqrt(x**2*(a + b*x)), x)","F",0
233,0,0,0,0.000000," ","integrate(x*(b*x**3+a*x**2)**(1/2),x)","\int x \sqrt{x^{2} \left(a + b x\right)}\, dx"," ",0,"Integral(x*sqrt(x**2*(a + b*x)), x)","F",0
234,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(1/2),x)","\int \sqrt{a x^{2} + b x^{3}}\, dx"," ",0,"Integral(sqrt(a*x**2 + b*x**3), x)","F",0
235,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(1/2)/x,x)","\int \frac{\sqrt{x^{2} \left(a + b x\right)}}{x}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x))/x, x)","F",0
236,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(1/2)/x**2,x)","\int \frac{\sqrt{x^{2} \left(a + b x\right)}}{x^{2}}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x))/x**2, x)","F",0
237,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(1/2)/x**3,x)","\int \frac{\sqrt{x^{2} \left(a + b x\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x))/x**3, x)","F",0
238,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(1/2)/x**4,x)","\int \frac{\sqrt{x^{2} \left(a + b x\right)}}{x^{4}}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x))/x**4, x)","F",0
239,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(1/2)/x**5,x)","\int \frac{\sqrt{x^{2} \left(a + b x\right)}}{x^{5}}\, dx"," ",0,"Integral(sqrt(x**2*(a + b*x))/x**5, x)","F",0
240,0,0,0,0.000000," ","integrate(x**2*(b*x**3+a*x**2)**(3/2),x)","\int x^{2} \left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(x**2*(a + b*x))**(3/2), x)","F",0
241,0,0,0,0.000000," ","integrate(x*(b*x**3+a*x**2)**(3/2),x)","\int x \left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(x**2*(a + b*x))**(3/2), x)","F",0
242,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2),x)","\int \left(a x^{2} + b x^{3}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*x**2 + b*x**3)**(3/2), x)","F",0
243,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2)/x,x)","\int \frac{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((x**2*(a + b*x))**(3/2)/x, x)","F",0
244,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2)/x**2,x)","\int \frac{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((x**2*(a + b*x))**(3/2)/x**2, x)","F",0
245,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2)/x**3,x)","\int \frac{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral((x**2*(a + b*x))**(3/2)/x**3, x)","F",0
246,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2)/x**4,x)","\int \frac{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"Integral((x**2*(a + b*x))**(3/2)/x**4, x)","F",0
247,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2)/x**5,x)","\int \frac{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}{x^{5}}\, dx"," ",0,"Integral((x**2*(a + b*x))**(3/2)/x**5, x)","F",0
248,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2)/x**6,x)","\int \frac{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}{x^{6}}\, dx"," ",0,"Integral((x**2*(a + b*x))**(3/2)/x**6, x)","F",0
249,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2)/x**7,x)","\int \frac{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}{x^{7}}\, dx"," ",0,"Integral((x**2*(a + b*x))**(3/2)/x**7, x)","F",0
250,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2)/x**8,x)","\int \frac{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}{x^{8}}\, dx"," ",0,"Integral((x**2*(a + b*x))**(3/2)/x**8, x)","F",0
251,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**(3/2)/x**9,x)","\int \frac{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}{x^{9}}\, dx"," ",0,"Integral((x**2*(a + b*x))**(3/2)/x**9, x)","F",0
252,0,0,0,0.000000," ","integrate(x**4/(b*x**3+a*x**2)**(1/2),x)","\int \frac{x^{4}}{\sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(x**4/sqrt(x**2*(a + b*x)), x)","F",0
253,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a*x**2)**(1/2),x)","\int \frac{x^{3}}{\sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(x**3/sqrt(x**2*(a + b*x)), x)","F",0
254,0,0,0,0.000000," ","integrate(x**2/(b*x**3+a*x**2)**(1/2),x)","\int \frac{x^{2}}{\sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(x**2/sqrt(x**2*(a + b*x)), x)","F",0
255,0,0,0,0.000000," ","integrate(x/(b*x**3+a*x**2)**(1/2),x)","\int \frac{x}{\sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(x/sqrt(x**2*(a + b*x)), x)","F",0
256,0,0,0,0.000000," ","integrate(1/(b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{\sqrt{a x^{2} + b x^{3}}}\, dx"," ",0,"Integral(1/sqrt(a*x**2 + b*x**3), x)","F",0
257,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{x \sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(x**2*(a + b*x))), x)","F",0
258,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(x**2*(a + b*x))), x)","F",0
259,0,0,0,0.000000," ","integrate(1/x**3/(b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x**3*sqrt(x**2*(a + b*x))), x)","F",0
260,0,0,0,0.000000," ","integrate(x**6/(b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{6}}{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**6/(x**2*(a + b*x))**(3/2), x)","F",0
261,0,0,0,0.000000," ","integrate(x**5/(b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{5}}{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5/(x**2*(a + b*x))**(3/2), x)","F",0
262,0,0,0,0.000000," ","integrate(x**4/(b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{4}}{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4/(x**2*(a + b*x))**(3/2), x)","F",0
263,0,0,0,0.000000," ","integrate(x**3/(b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{3}}{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/(x**2*(a + b*x))**(3/2), x)","F",0
264,0,0,0,0.000000," ","integrate(x**2/(b*x**3+a*x**2)**(3/2),x)","\int \frac{x^{2}}{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(x**2*(a + b*x))**(3/2), x)","F",0
265,0,0,0,0.000000," ","integrate(x/(b*x**3+a*x**2)**(3/2),x)","\int \frac{x}{\left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(x**2*(a + b*x))**(3/2), x)","F",0
266,0,0,0,0.000000," ","integrate(1/(b*x**3+a*x**2)**(3/2),x)","\int \frac{1}{\left(a x^{2} + b x^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x**2 + b*x**3)**(-3/2), x)","F",0
267,0,0,0,0.000000," ","integrate(1/x/(b*x**3+a*x**2)**(3/2),x)","\int \frac{1}{x \left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(x**2*(a + b*x))**(3/2)), x)","F",0
268,0,0,0,0.000000," ","integrate(1/x**2/(b*x**3+a*x**2)**(3/2),x)","\int \frac{1}{x^{2} \left(x^{2} \left(a + b x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(x**2*(a + b*x))**(3/2)), x)","F",0
269,0,0,0,0.000000," ","integrate(x**(7/2)/(b*x**3+a*x**2)**(1/2),x)","\int \frac{x^{\frac{7}{2}}}{\sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(x**(7/2)/sqrt(x**2*(a + b*x)), x)","F",0
270,0,0,0,0.000000," ","integrate(x**(5/2)/(b*x**3+a*x**2)**(1/2),x)","\int \frac{x^{\frac{5}{2}}}{\sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(x**(5/2)/sqrt(x**2*(a + b*x)), x)","F",0
271,0,0,0,0.000000," ","integrate(x**(3/2)/(b*x**3+a*x**2)**(1/2),x)","\int \frac{x^{\frac{3}{2}}}{\sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(x**(3/2)/sqrt(x**2*(a + b*x)), x)","F",0
272,0,0,0,0.000000," ","integrate(x**(1/2)/(b*x**3+a*x**2)**(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(sqrt(x)/sqrt(x**2*(a + b*x)), x)","F",0
273,0,0,0,0.000000," ","integrate(1/x**(1/2)/(b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{\sqrt{x} \sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(sqrt(x)*sqrt(x**2*(a + b*x))), x)","F",0
274,0,0,0,0.000000," ","integrate(1/x**(3/2)/(b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{x^{\frac{3}{2}} \sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x**(3/2)*sqrt(x**2*(a + b*x))), x)","F",0
275,0,0,0,0.000000," ","integrate(1/x**(5/2)/(b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{x^{\frac{5}{2}} \sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x**(5/2)*sqrt(x**2*(a + b*x))), x)","F",0
276,0,0,0,0.000000," ","integrate(1/x**(7/2)/(b*x**3+a*x**2)**(1/2),x)","\int \frac{1}{x^{\frac{7}{2}} \sqrt{x^{2} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x**(7/2)*sqrt(x**2*(a + b*x))), x)","F",0
277,0,0,0,0.000000," ","integrate(x**(1-3*n)*(b*x**3+a*x**2)**n,x)","\int x^{1 - 3 n} \left(x^{2} \left(a + b x\right)\right)^{n}\, dx"," ",0,"Integral(x**(1 - 3*n)*(x**2*(a + b*x))**n, x)","F",0
278,0,0,0,0.000000," ","integrate((b*x**3+a*x**2)**n/(x**(3*n)),x)","\int x^{- 3 n} \left(x^{2} \left(a + b x\right)\right)^{n}\, dx"," ",0,"Integral(x**(-3*n)*(x**2*(a + b*x))**n, x)","F",0
279,0,0,0,0.000000," ","integrate(x**(-1-3*n)*(b*x**3+a*x**2)**n,x)","\int x^{- 3 n - 1} \left(x^{2} \left(a + b x\right)\right)^{n}\, dx"," ",0,"Integral(x**(-3*n - 1)*(x**2*(a + b*x))**n, x)","F",0
280,0,0,0,0.000000," ","integrate(x**(-2-3*n)*(b*x**3+a*x**2)**n,x)","\int x^{- 3 n - 2} \left(x^{2} \left(a + b x\right)\right)^{n}\, dx"," ",0,"Integral(x**(-3*n - 2)*(x**2*(a + b*x))**n, x)","F",0
281,-1,0,0,0.000000," ","integrate(x**(-3-3*n)*(b*x**3+a*x**2)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
282,-1,0,0,0.000000," ","integrate(x**(-4-3*n)*(b*x**3+a*x**2)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
283,1,36,0,0.404682," ","integrate(x**11/(b*x**5+a*x**2)**3,x)","\frac{- a - 2 b x^{3}}{6 a^{2} b^{2} + 12 a b^{3} x^{3} + 6 b^{4} x^{6}}"," ",0,"(-a - 2*b*x**3)/(6*a**2*b**2 + 12*a*b**3*x**3 + 6*b**4*x**6)","B",0
284,0,0,0,0.000000," ","integrate(x**9/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{9}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**9/sqrt(x**2*(a + b*x**3)), x)","F",0
285,0,0,0,0.000000," ","integrate(x**6/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{6}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**6/sqrt(x**2*(a + b*x**3)), x)","F",0
286,0,0,0,0.000000," ","integrate(x**3/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{3}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**3/sqrt(x**2*(a + b*x**3)), x)","F",0
287,0,0,0,0.000000," ","integrate(1/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{\sqrt{a x^{2} + b x^{5}}}\, dx"," ",0,"Integral(1/sqrt(a*x**2 + b*x**5), x)","F",0
288,0,0,0,0.000000," ","integrate(1/x**3/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**3*sqrt(x**2*(a + b*x**3))), x)","F",0
289,0,0,0,0.000000," ","integrate(x**4/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{4}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**4/sqrt(x**2*(a + b*x**3)), x)","F",0
290,0,0,0,0.000000," ","integrate(x/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x/sqrt(x**2*(a + b*x**3)), x)","F",0
291,0,0,0,0.000000," ","integrate(1/x**2/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(x**2*(a + b*x**3))), x)","F",0
292,0,0,0,0.000000," ","integrate(x**5/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{5}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**5/sqrt(x**2*(a + b*x**3)), x)","F",0
293,0,0,0,0.000000," ","integrate(x**2/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{2}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**2/sqrt(x**2*(a + b*x**3)), x)","F",0
294,0,0,0,0.000000," ","integrate(1/x/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{x \sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(x**2*(a + b*x**3))), x)","F",0
295,-1,0,0,0.000000," ","integrate(x**(13/2)/(b*x**5+a*x**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
296,0,0,0,0.000000," ","integrate(x**(11/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{\frac{11}{2}}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**(11/2)/sqrt(x**2*(a + b*x**3)), x)","F",0
297,0,0,0,0.000000," ","integrate(x**(9/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{\frac{9}{2}}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**(9/2)/sqrt(x**2*(a + b*x**3)), x)","F",0
298,0,0,0,0.000000," ","integrate(x**(7/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{\frac{7}{2}}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**(7/2)/sqrt(x**2*(a + b*x**3)), x)","F",0
299,0,0,0,0.000000," ","integrate(x**(5/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{\frac{5}{2}}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**(5/2)/sqrt(x**2*(a + b*x**3)), x)","F",0
300,0,0,0,0.000000," ","integrate(x**(3/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{x^{\frac{3}{2}}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(x**(3/2)/sqrt(x**2*(a + b*x**3)), x)","F",0
301,0,0,0,0.000000," ","integrate(x**(1/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(sqrt(x)/sqrt(x**2*(a + b*x**3)), x)","F",0
302,0,0,0,0.000000," ","integrate(1/x**(1/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{\sqrt{x} \sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(sqrt(x)*sqrt(x**2*(a + b*x**3))), x)","F",0
303,0,0,0,0.000000," ","integrate(1/x**(3/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{x^{\frac{3}{2}} \sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**(3/2)*sqrt(x**2*(a + b*x**3))), x)","F",0
304,0,0,0,0.000000," ","integrate(1/x**(5/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{x^{\frac{5}{2}} \sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**(5/2)*sqrt(x**2*(a + b*x**3))), x)","F",0
305,0,0,0,0.000000," ","integrate(1/x**(7/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{x^{\frac{7}{2}} \sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**(7/2)*sqrt(x**2*(a + b*x**3))), x)","F",0
306,0,0,0,0.000000," ","integrate(1/x**(9/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{x^{\frac{9}{2}} \sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**(9/2)*sqrt(x**2*(a + b*x**3))), x)","F",0
307,0,0,0,0.000000," ","integrate(1/x**(11/2)/(b*x**5+a*x**2)**(1/2),x)","\int \frac{1}{x^{\frac{11}{2}} \sqrt{x^{2} \left(a + b x^{3}\right)}}\, dx"," ",0,"Integral(1/(x**(11/2)*sqrt(x**2*(a + b*x**3))), x)","F",0
308,1,19,0,0.206735," ","integrate(x/(b*x**4+a*x**3),x)","- \frac{1}{a x} + \frac{b \left(- \log{\left(x \right)} + \log{\left(\frac{a}{b} + x \right)}\right)}{a^{2}}"," ",0,"-1/(a*x) + b*(-log(x) + log(a/b + x))/a**2","A",0
309,1,31,0,0.215625," ","integrate(1/(b*x**4+a*x**3),x)","\frac{- a + 2 b x}{2 a^{2} x^{2}} + \frac{b^{2} \left(\log{\left(x \right)} - \log{\left(\frac{a}{b} + x \right)}\right)}{a^{3}}"," ",0,"(-a + 2*b*x)/(2*a**2*x**2) + b**2*(log(x) - log(a/b + x))/a**3","A",0
310,0,0,0,0.000000," ","integrate(x**4/(b*x**4+a*x**3)**(1/2),x)","\int \frac{x^{4}}{\sqrt{x^{3} \left(a + b x\right)}}\, dx"," ",0,"Integral(x**4/sqrt(x**3*(a + b*x)), x)","F",0
311,0,0,0,0.000000," ","integrate(x**3/(b*x**4+a*x**3)**(1/2),x)","\int \frac{x^{3}}{\sqrt{x^{3} \left(a + b x\right)}}\, dx"," ",0,"Integral(x**3/sqrt(x**3*(a + b*x)), x)","F",0
312,0,0,0,0.000000," ","integrate(x**2/(b*x**4+a*x**3)**(1/2),x)","\int \frac{x^{2}}{\sqrt{x^{3} \left(a + b x\right)}}\, dx"," ",0,"Integral(x**2/sqrt(x**3*(a + b*x)), x)","F",0
313,0,0,0,0.000000," ","integrate(x/(b*x**4+a*x**3)**(1/2),x)","\int \frac{x}{\sqrt{x^{3} \left(a + b x\right)}}\, dx"," ",0,"Integral(x/sqrt(x**3*(a + b*x)), x)","F",0
314,0,0,0,0.000000," ","integrate(1/(b*x**4+a*x**3)**(1/2),x)","\int \frac{1}{\sqrt{a x^{3} + b x^{4}}}\, dx"," ",0,"Integral(1/sqrt(a*x**3 + b*x**4), x)","F",0
315,0,0,0,0.000000," ","integrate(1/x/(b*x**4+a*x**3)**(1/2),x)","\int \frac{1}{x \sqrt{x^{3} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(x**3*(a + b*x))), x)","F",0
316,0,0,0,0.000000," ","integrate(1/x**2/(b*x**4+a*x**3)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{x^{3} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(x**3*(a + b*x))), x)","F",0
317,0,0,0,0.000000," ","integrate(1/x**3/(b*x**4+a*x**3)**(1/2),x)","\int \frac{1}{x^{3} \sqrt{x^{3} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x**3*sqrt(x**3*(a + b*x))), x)","F",0
318,0,0,0,0.000000," ","integrate(1/x**4/(b*x**4+a*x**3)**(1/2),x)","\int \frac{1}{x^{4} \sqrt{x^{3} \left(a + b x\right)}}\, dx"," ",0,"Integral(1/(x**4*sqrt(x**3*(a + b*x))), x)","F",0
319,1,22,0,0.220613," ","integrate(1/(b*x**5+x**3),x)","- b \log{\left(x \right)} + \frac{b \log{\left(x^{2} + \frac{1}{b} \right)}}{2} - \frac{1}{2 x^{2}}"," ",0,"-b*log(x) + b*log(x**2 + 1/b)/2 - 1/(2*x**2)","A",0
320,1,22,0,0.232517," ","integrate(1/(b*x**5-x**3),x)","- b \log{\left(x \right)} + \frac{b \log{\left(x^{2} - \frac{1}{b} \right)}}{2} + \frac{1}{2 x^{2}}"," ",0,"-b*log(x) + b*log(x**2 - 1/b)/2 + 1/(2*x**2)","A",0
321,1,5,0,0.072385," ","integrate(1/(a*x+b*x),x)","\frac{\log{\left(x \right)}}{a + b}"," ",0,"log(x)/(a + b)","A",0
322,1,15,0,0.078308," ","integrate(1/(a*x+b*x)**2,x)","- \frac{1}{x \left(a^{2} + 2 a b + b^{2}\right)}"," ",0,"-1/(x*(a**2 + 2*a*b + b**2))","A",0
323,1,27,0,0.087841," ","integrate(1/(a*x+b*x)**3,x)","- \frac{1}{2 x^{2} \left(a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}\right)}"," ",0,"-1/(2*x**2*(a**3 + 3*a**2*b + 3*a*b**2 + b**3))","B",0
324,1,7,0,0.076792," ","integrate(1/(a*x**2+b*x**2),x)","- \frac{1}{x \left(a + b\right)}"," ",0,"-1/(x*(a + b))","A",0
325,1,32,0,0.635300," ","integrate(1/(a*x**n+b*x**n),x)","\begin{cases} - \frac{x}{a n x^{n} - a x^{n} + b n x^{n} - b x^{n}} & \text{for}\: n \neq 1 \\\frac{\log{\left(x \right)}}{a + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x/(a*n*x**n - a*x**n + b*n*x**n - b*x**n), Ne(n, 1)), (log(x)/(a + b), True))","A",0
326,1,82,0,1.026824," ","integrate(1/(a*x**n+b*x**n)**2,x)","\begin{cases} - \frac{x}{2 a^{2} n x^{2 n} - a^{2} x^{2 n} + 4 a b n x^{2 n} - 2 a b x^{2 n} + 2 b^{2} n x^{2 n} - b^{2} x^{2 n}} & \text{for}\: n \neq \frac{1}{2} \\\frac{\log{\left(x \right)}}{a^{2} + 2 a b + b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x/(2*a**2*n*x**(2*n) - a**2*x**(2*n) + 4*a*b*n*x**(2*n) - 2*a*b*x**(2*n) + 2*b**2*n*x**(2*n) - b**2*x**(2*n)), Ne(n, 1/2)), (log(x)/(a**2 + 2*a*b + b**2), True))","A",0
327,1,119,0,1.354929," ","integrate(1/(a*x**n+b*x**n)**3,x)","\begin{cases} - \frac{x}{3 a^{3} n x^{3 n} - a^{3} x^{3 n} + 9 a^{2} b n x^{3 n} - 3 a^{2} b x^{3 n} + 9 a b^{2} n x^{3 n} - 3 a b^{2} x^{3 n} + 3 b^{3} n x^{3 n} - b^{3} x^{3 n}} & \text{for}\: n \neq \frac{1}{3} \\\frac{\log{\left(x \right)}}{a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x/(3*a**3*n*x**(3*n) - a**3*x**(3*n) + 9*a**2*b*n*x**(3*n) - 3*a**2*b*x**(3*n) + 9*a*b**2*n*x**(3*n) - 3*a*b**2*x**(3*n) + 3*b**3*n*x**(3*n) - b**3*x**(3*n)), Ne(n, 1/3)), (log(x)/(a**3 + 3*a**2*b + 3*a*b**2 + b**3), True))","A",0
328,1,160,0,0.118169," ","integrate((b*x**14+a*x)**12,x)","\frac{a^{12} x^{13}}{13} + \frac{6 a^{11} b x^{26}}{13} + \frac{22 a^{10} b^{2} x^{39}}{13} + \frac{55 a^{9} b^{3} x^{52}}{13} + \frac{99 a^{8} b^{4} x^{65}}{13} + \frac{132 a^{7} b^{5} x^{78}}{13} + \frac{132 a^{6} b^{6} x^{91}}{13} + \frac{99 a^{5} b^{7} x^{104}}{13} + \frac{55 a^{4} b^{8} x^{117}}{13} + \frac{22 a^{3} b^{9} x^{130}}{13} + \frac{6 a^{2} b^{10} x^{143}}{13} + \frac{a b^{11} x^{156}}{13} + \frac{b^{12} x^{169}}{169}"," ",0,"a**12*x**13/13 + 6*a**11*b*x**26/13 + 22*a**10*b**2*x**39/13 + 55*a**9*b**3*x**52/13 + 99*a**8*b**4*x**65/13 + 132*a**7*b**5*x**78/13 + 132*a**6*b**6*x**91/13 + 99*a**5*b**7*x**104/13 + 55*a**4*b**8*x**117/13 + 22*a**3*b**9*x**130/13 + 6*a**2*b**10*x**143/13 + a*b**11*x**156/13 + b**12*x**169/169","B",0
329,1,160,0,0.129580," ","integrate(x**12*(b*x**26+a*x)**12,x)","\frac{a^{12} x^{25}}{25} + \frac{6 a^{11} b x^{50}}{25} + \frac{22 a^{10} b^{2} x^{75}}{25} + \frac{11 a^{9} b^{3} x^{100}}{5} + \frac{99 a^{8} b^{4} x^{125}}{25} + \frac{132 a^{7} b^{5} x^{150}}{25} + \frac{132 a^{6} b^{6} x^{175}}{25} + \frac{99 a^{5} b^{7} x^{200}}{25} + \frac{11 a^{4} b^{8} x^{225}}{5} + \frac{22 a^{3} b^{9} x^{250}}{25} + \frac{6 a^{2} b^{10} x^{275}}{25} + \frac{a b^{11} x^{300}}{25} + \frac{b^{12} x^{325}}{325}"," ",0,"a**12*x**25/25 + 6*a**11*b*x**50/25 + 22*a**10*b**2*x**75/25 + 11*a**9*b**3*x**100/5 + 99*a**8*b**4*x**125/25 + 132*a**7*b**5*x**150/25 + 132*a**6*b**6*x**175/25 + 99*a**5*b**7*x**200/25 + 11*a**4*b**8*x**225/5 + 22*a**3*b**9*x**250/25 + 6*a**2*b**10*x**275/25 + a*b**11*x**300/25 + b**12*x**325/325","B",0
330,1,160,0,0.137666," ","integrate(x**24*(b*x**38+a*x)**12,x)","\frac{a^{12} x^{37}}{37} + \frac{6 a^{11} b x^{74}}{37} + \frac{22 a^{10} b^{2} x^{111}}{37} + \frac{55 a^{9} b^{3} x^{148}}{37} + \frac{99 a^{8} b^{4} x^{185}}{37} + \frac{132 a^{7} b^{5} x^{222}}{37} + \frac{132 a^{6} b^{6} x^{259}}{37} + \frac{99 a^{5} b^{7} x^{296}}{37} + \frac{55 a^{4} b^{8} x^{333}}{37} + \frac{22 a^{3} b^{9} x^{370}}{37} + \frac{6 a^{2} b^{10} x^{407}}{37} + \frac{a b^{11} x^{444}}{37} + \frac{b^{12} x^{481}}{481}"," ",0,"a**12*x**37/37 + 6*a**11*b*x**74/37 + 22*a**10*b**2*x**111/37 + 55*a**9*b**3*x**148/37 + 99*a**8*b**4*x**185/37 + 132*a**7*b**5*x**222/37 + 132*a**6*b**6*x**259/37 + 99*a**5*b**7*x**296/37 + 55*a**4*b**8*x**333/37 + 22*a**3*b**9*x**370/37 + 6*a**2*b**10*x**407/37 + a*b**11*x**444/37 + b**12*x**481/481","B",0
331,-1,0,0,0.000000," ","integrate(x**(-12+12*m)*(a*x+b*x**(2+12*m))**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
332,1,160,0,0.127777," ","integrate((b*x**14+a*x)**12,x)","\frac{a^{12} x^{13}}{13} + \frac{6 a^{11} b x^{26}}{13} + \frac{22 a^{10} b^{2} x^{39}}{13} + \frac{55 a^{9} b^{3} x^{52}}{13} + \frac{99 a^{8} b^{4} x^{65}}{13} + \frac{132 a^{7} b^{5} x^{78}}{13} + \frac{132 a^{6} b^{6} x^{91}}{13} + \frac{99 a^{5} b^{7} x^{104}}{13} + \frac{55 a^{4} b^{8} x^{117}}{13} + \frac{22 a^{3} b^{9} x^{130}}{13} + \frac{6 a^{2} b^{10} x^{143}}{13} + \frac{a b^{11} x^{156}}{13} + \frac{b^{12} x^{169}}{169}"," ",0,"a**12*x**13/13 + 6*a**11*b*x**26/13 + 22*a**10*b**2*x**39/13 + 55*a**9*b**3*x**52/13 + 99*a**8*b**4*x**65/13 + 132*a**7*b**5*x**78/13 + 132*a**6*b**6*x**91/13 + 99*a**5*b**7*x**104/13 + 55*a**4*b**8*x**117/13 + 22*a**3*b**9*x**130/13 + 6*a**2*b**10*x**143/13 + a*b**11*x**156/13 + b**12*x**169/169","B",0
333,1,160,0,0.126892," ","integrate((b*x**27+a*x**2)**12,x)","\frac{a^{12} x^{25}}{25} + \frac{6 a^{11} b x^{50}}{25} + \frac{22 a^{10} b^{2} x^{75}}{25} + \frac{11 a^{9} b^{3} x^{100}}{5} + \frac{99 a^{8} b^{4} x^{125}}{25} + \frac{132 a^{7} b^{5} x^{150}}{25} + \frac{132 a^{6} b^{6} x^{175}}{25} + \frac{99 a^{5} b^{7} x^{200}}{25} + \frac{11 a^{4} b^{8} x^{225}}{5} + \frac{22 a^{3} b^{9} x^{250}}{25} + \frac{6 a^{2} b^{10} x^{275}}{25} + \frac{a b^{11} x^{300}}{25} + \frac{b^{12} x^{325}}{325}"," ",0,"a**12*x**25/25 + 6*a**11*b*x**50/25 + 22*a**10*b**2*x**75/25 + 11*a**9*b**3*x**100/5 + 99*a**8*b**4*x**125/25 + 132*a**7*b**5*x**150/25 + 132*a**6*b**6*x**175/25 + 99*a**5*b**7*x**200/25 + 11*a**4*b**8*x**225/5 + 22*a**3*b**9*x**250/25 + 6*a**2*b**10*x**275/25 + a*b**11*x**300/25 + b**12*x**325/325","B",0
334,1,160,0,0.127099," ","integrate((b*x**40+a*x**3)**12,x)","\frac{a^{12} x^{37}}{37} + \frac{6 a^{11} b x^{74}}{37} + \frac{22 a^{10} b^{2} x^{111}}{37} + \frac{55 a^{9} b^{3} x^{148}}{37} + \frac{99 a^{8} b^{4} x^{185}}{37} + \frac{132 a^{7} b^{5} x^{222}}{37} + \frac{132 a^{6} b^{6} x^{259}}{37} + \frac{99 a^{5} b^{7} x^{296}}{37} + \frac{55 a^{4} b^{8} x^{333}}{37} + \frac{22 a^{3} b^{9} x^{370}}{37} + \frac{6 a^{2} b^{10} x^{407}}{37} + \frac{a b^{11} x^{444}}{37} + \frac{b^{12} x^{481}}{481}"," ",0,"a**12*x**37/37 + 6*a**11*b*x**74/37 + 22*a**10*b**2*x**111/37 + 55*a**9*b**3*x**148/37 + 99*a**8*b**4*x**185/37 + 132*a**7*b**5*x**222/37 + 132*a**6*b**6*x**259/37 + 99*a**5*b**7*x**296/37 + 55*a**4*b**8*x**333/37 + 22*a**3*b**9*x**370/37 + 6*a**2*b**10*x**407/37 + a*b**11*x**444/37 + b**12*x**481/481","B",0
335,-1,0,0,0.000000," ","integrate((a*x**m+b*x**(1+13*m))**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
336,-1,0,0,0.000000," ","integrate((a*x**m+b*x**(1+6*m))**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
337,-1,0,0,0.000000," ","integrate(1/(b*x**(1-2*m)+a*x**m)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
338,1,10,0,0.121983," ","integrate(1/(b/x+a*x),x)","\frac{\log{\left(a x^{2} + b \right)}}{2 a}"," ",0,"log(a*x**2 + b)/(2*a)","A",0
339,1,10,0,0.147733," ","integrate(1/(b/x**2+a*x),x)","\frac{\log{\left(a x^{3} + b \right)}}{3 a}"," ",0,"log(a*x**3 + b)/(3*a)","A",0
340,1,10,0,0.163946," ","integrate(1/(b/x**3+a*x),x)","\frac{\log{\left(a x^{4} + b \right)}}{4 a}"," ",0,"log(a*x**4 + b)/(4*a)","A",0
341,1,36,0,0.281817," ","integrate(1/(b/x+a*x)**3,x)","\frac{- 2 a x^{2} - b}{4 a^{4} x^{4} + 8 a^{3} b x^{2} + 4 a^{2} b^{2}}"," ",0,"(-2*a*x**2 - b)/(4*a**4*x**4 + 8*a**3*b*x**2 + 4*a**2*b**2)","B",0
342,1,36,0,0.499672," ","integrate(1/(b/x**3+a*x**2)**3,x)","\frac{- 2 a x^{5} - b}{10 a^{4} x^{10} + 20 a^{3} b x^{5} + 10 a^{2} b^{2}}"," ",0,"(-2*a*x**5 - b)/(10*a**4*x**10 + 20*a**3*b*x**5 + 10*a**2*b**2)","B",0
343,1,36,0,0.744686," ","integrate(1/(b/x**5+a*x**3)**3,x)","\frac{- 2 a x^{8} - b}{16 a^{4} x^{16} + 32 a^{3} b x^{8} + 16 a^{2} b^{2}}"," ",0,"(-2*a*x**8 - b)/(16*a**4*x**16 + 32*a**3*b*x**8 + 16*a**2*b**2)","B",0
344,1,19,0,0.103022," ","integrate((a/x+b*x)**2,x)","- \frac{a^{2}}{x} + 2 a b x + \frac{b^{2} x^{3}}{3}"," ",0,"-a**2/x + 2*a*b*x + b**2*x**3/3","A",0
345,1,37,0,0.150627," ","integrate((a/x+b*x)**3,x)","- \frac{a^{3}}{2 x^{2}} + 3 a^{2} b \log{\left(x \right)} + \frac{3 a b^{2} x^{2}}{2} + \frac{b^{3} x^{4}}{4}"," ",0,"-a**3/(2*x**2) + 3*a**2*b*log(x) + 3*a*b**2*x**2/2 + b**3*x**4/4","A",0
346,1,49,0,0.188157," ","integrate((a/x+b*x)**4,x)","6 a^{2} b^{2} x + \frac{4 a b^{3} x^{3}}{3} + \frac{b^{4} x^{5}}{5} + \frac{- a^{4} - 12 a^{3} b x^{2}}{3 x^{3}}"," ",0,"6*a**2*b**2*x + 4*a*b**3*x**3/3 + b**4*x**5/5 + (-a**4 - 12*a**3*b*x**2)/(3*x**3)","A",0
347,1,36,0,1.541723," ","integrate(1/(1/x**2+x**3),x)","\frac{\log{\left(x + 1 \right)}}{5} + \operatorname{RootSum} {\left(625 t^{4} + 125 t^{3} + 25 t^{2} + 5 t + 1, \left( t \mapsto t \log{\left(25 t^{2} + x \right)} \right)\right)}"," ",0,"log(x + 1)/5 + RootSum(625*_t**4 + 125*_t**3 + 25*_t**2 + 5*_t + 1, Lambda(_t, _t*log(25*_t**2 + x)))","A",0
348,-1,0,0,0.000000," ","integrate(x**p*(a*x**n+b*x**(1+13*n+p))**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
349,1,160,0,0.114568," ","integrate(x**12*(b*x**13+a)**12,x)","\frac{a^{12} x^{13}}{13} + \frac{6 a^{11} b x^{26}}{13} + \frac{22 a^{10} b^{2} x^{39}}{13} + \frac{55 a^{9} b^{3} x^{52}}{13} + \frac{99 a^{8} b^{4} x^{65}}{13} + \frac{132 a^{7} b^{5} x^{78}}{13} + \frac{132 a^{6} b^{6} x^{91}}{13} + \frac{99 a^{5} b^{7} x^{104}}{13} + \frac{55 a^{4} b^{8} x^{117}}{13} + \frac{22 a^{3} b^{9} x^{130}}{13} + \frac{6 a^{2} b^{10} x^{143}}{13} + \frac{a b^{11} x^{156}}{13} + \frac{b^{12} x^{169}}{169}"," ",0,"a**12*x**13/13 + 6*a**11*b*x**26/13 + 22*a**10*b**2*x**39/13 + 55*a**9*b**3*x**52/13 + 99*a**8*b**4*x**65/13 + 132*a**7*b**5*x**78/13 + 132*a**6*b**6*x**91/13 + 99*a**5*b**7*x**104/13 + 55*a**4*b**8*x**117/13 + 22*a**3*b**9*x**130/13 + 6*a**2*b**10*x**143/13 + a*b**11*x**156/13 + b**12*x**169/169","B",0
350,1,160,0,0.126997," ","integrate(x**12*(b*x**26+a*x)**12,x)","\frac{a^{12} x^{25}}{25} + \frac{6 a^{11} b x^{50}}{25} + \frac{22 a^{10} b^{2} x^{75}}{25} + \frac{11 a^{9} b^{3} x^{100}}{5} + \frac{99 a^{8} b^{4} x^{125}}{25} + \frac{132 a^{7} b^{5} x^{150}}{25} + \frac{132 a^{6} b^{6} x^{175}}{25} + \frac{99 a^{5} b^{7} x^{200}}{25} + \frac{11 a^{4} b^{8} x^{225}}{5} + \frac{22 a^{3} b^{9} x^{250}}{25} + \frac{6 a^{2} b^{10} x^{275}}{25} + \frac{a b^{11} x^{300}}{25} + \frac{b^{12} x^{325}}{325}"," ",0,"a**12*x**25/25 + 6*a**11*b*x**50/25 + 22*a**10*b**2*x**75/25 + 11*a**9*b**3*x**100/5 + 99*a**8*b**4*x**125/25 + 132*a**7*b**5*x**150/25 + 132*a**6*b**6*x**175/25 + 99*a**5*b**7*x**200/25 + 11*a**4*b**8*x**225/5 + 22*a**3*b**9*x**250/25 + 6*a**2*b**10*x**275/25 + a*b**11*x**300/25 + b**12*x**325/325","B",0
351,1,160,0,0.140054," ","integrate(x**12*(b*x**39+a*x**2)**12,x)","\frac{a^{12} x^{37}}{37} + \frac{6 a^{11} b x^{74}}{37} + \frac{22 a^{10} b^{2} x^{111}}{37} + \frac{55 a^{9} b^{3} x^{148}}{37} + \frac{99 a^{8} b^{4} x^{185}}{37} + \frac{132 a^{7} b^{5} x^{222}}{37} + \frac{132 a^{6} b^{6} x^{259}}{37} + \frac{99 a^{5} b^{7} x^{296}}{37} + \frac{55 a^{4} b^{8} x^{333}}{37} + \frac{22 a^{3} b^{9} x^{370}}{37} + \frac{6 a^{2} b^{10} x^{407}}{37} + \frac{a b^{11} x^{444}}{37} + \frac{b^{12} x^{481}}{481}"," ",0,"a**12*x**37/37 + 6*a**11*b*x**74/37 + 22*a**10*b**2*x**111/37 + 55*a**9*b**3*x**148/37 + 99*a**8*b**4*x**185/37 + 132*a**7*b**5*x**222/37 + 132*a**6*b**6*x**259/37 + 99*a**5*b**7*x**296/37 + 55*a**4*b**8*x**333/37 + 22*a**3*b**9*x**370/37 + 6*a**2*b**10*x**407/37 + a*b**11*x**444/37 + b**12*x**481/481","B",0
352,1,160,0,0.111147," ","integrate(x**24*(b*x**25+a)**12,x)","\frac{a^{12} x^{25}}{25} + \frac{6 a^{11} b x^{50}}{25} + \frac{22 a^{10} b^{2} x^{75}}{25} + \frac{11 a^{9} b^{3} x^{100}}{5} + \frac{99 a^{8} b^{4} x^{125}}{25} + \frac{132 a^{7} b^{5} x^{150}}{25} + \frac{132 a^{6} b^{6} x^{175}}{25} + \frac{99 a^{5} b^{7} x^{200}}{25} + \frac{11 a^{4} b^{8} x^{225}}{5} + \frac{22 a^{3} b^{9} x^{250}}{25} + \frac{6 a^{2} b^{10} x^{275}}{25} + \frac{a b^{11} x^{300}}{25} + \frac{b^{12} x^{325}}{325}"," ",0,"a**12*x**25/25 + 6*a**11*b*x**50/25 + 22*a**10*b**2*x**75/25 + 11*a**9*b**3*x**100/5 + 99*a**8*b**4*x**125/25 + 132*a**7*b**5*x**150/25 + 132*a**6*b**6*x**175/25 + 99*a**5*b**7*x**200/25 + 11*a**4*b**8*x**225/5 + 22*a**3*b**9*x**250/25 + 6*a**2*b**10*x**275/25 + a*b**11*x**300/25 + b**12*x**325/325","B",0
353,1,160,0,0.130810," ","integrate(x**24*(b*x**38+a*x)**12,x)","\frac{a^{12} x^{37}}{37} + \frac{6 a^{11} b x^{74}}{37} + \frac{22 a^{10} b^{2} x^{111}}{37} + \frac{55 a^{9} b^{3} x^{148}}{37} + \frac{99 a^{8} b^{4} x^{185}}{37} + \frac{132 a^{7} b^{5} x^{222}}{37} + \frac{132 a^{6} b^{6} x^{259}}{37} + \frac{99 a^{5} b^{7} x^{296}}{37} + \frac{55 a^{4} b^{8} x^{333}}{37} + \frac{22 a^{3} b^{9} x^{370}}{37} + \frac{6 a^{2} b^{10} x^{407}}{37} + \frac{a b^{11} x^{444}}{37} + \frac{b^{12} x^{481}}{481}"," ",0,"a**12*x**37/37 + 6*a**11*b*x**74/37 + 22*a**10*b**2*x**111/37 + 55*a**9*b**3*x**148/37 + 99*a**8*b**4*x**185/37 + 132*a**7*b**5*x**222/37 + 132*a**6*b**6*x**259/37 + 99*a**5*b**7*x**296/37 + 55*a**4*b**8*x**333/37 + 22*a**3*b**9*x**370/37 + 6*a**2*b**10*x**407/37 + a*b**11*x**444/37 + b**12*x**481/481","B",0
354,1,160,0,0.116766," ","integrate(x**36*(b*x**37+a)**12,x)","\frac{a^{12} x^{37}}{37} + \frac{6 a^{11} b x^{74}}{37} + \frac{22 a^{10} b^{2} x^{111}}{37} + \frac{55 a^{9} b^{3} x^{148}}{37} + \frac{99 a^{8} b^{4} x^{185}}{37} + \frac{132 a^{7} b^{5} x^{222}}{37} + \frac{132 a^{6} b^{6} x^{259}}{37} + \frac{99 a^{5} b^{7} x^{296}}{37} + \frac{55 a^{4} b^{8} x^{333}}{37} + \frac{22 a^{3} b^{9} x^{370}}{37} + \frac{6 a^{2} b^{10} x^{407}}{37} + \frac{a b^{11} x^{444}}{37} + \frac{b^{12} x^{481}}{481}"," ",0,"a**12*x**37/37 + 6*a**11*b*x**74/37 + 22*a**10*b**2*x**111/37 + 55*a**9*b**3*x**148/37 + 99*a**8*b**4*x**185/37 + 132*a**7*b**5*x**222/37 + 132*a**6*b**6*x**259/37 + 99*a**5*b**7*x**296/37 + 55*a**4*b**8*x**333/37 + 22*a**3*b**9*x**370/37 + 6*a**2*b**10*x**407/37 + a*b**11*x**444/37 + b**12*x**481/481","B",0
355,1,53,0,0.675263," ","integrate(1/(a*x+b*x**n),x)","\begin{cases} \tilde{\infty} \log{\left(x \right)} & \text{for}\: a = 0 \wedge b = 0 \wedge n = 1 \\- \frac{x}{b \left(n x^{n} - x^{n}\right)} & \text{for}\: a = 0 \\\frac{\log{\left(x \right)}}{a + b} & \text{for}\: n = 1 \\\frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{n \log{\left(x \right)}}{a n - a} - \frac{\log{\left(\frac{a x}{b} + x^{n} \right)}}{a n - a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(x), Eq(a, 0) & Eq(b, 0) & Eq(n, 1)), (-x/(b*(n*x**n - x**n)), Eq(a, 0)), (log(x)/(a + b), Eq(n, 1)), (log(x)/a, Eq(b, 0)), (n*log(x)/(a*n - a) - log(a*x/b + x**n)/(a*n - a), True))","A",0
356,1,41,0,1.809723," ","integrate(1/(a*x+b*x**(1+n)),x)","\begin{cases} \tilde{\infty} \log{\left(x \right)} & \text{for}\: a = 0 \wedge b = 0 \wedge n = 0 \\\frac{\log{\left(x \right)}}{a + b} & \text{for}\: n = 0 \\- \frac{x^{- n}}{b n} & \text{for}\: a = 0 \\\frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{\log{\left(x \right)}}{a} - \frac{\log{\left(\frac{a}{b} + x^{n} \right)}}{a n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(x), Eq(a, 0) & Eq(b, 0) & Eq(n, 0)), (log(x)/(a + b), Eq(n, 0)), (-x**(-n)/(b*n), Eq(a, 0)), (log(x)/a, Eq(b, 0)), (log(x)/a - log(a/b + x**n)/(a*n), True))","A",0
357,1,39,0,2.142452," ","integrate(1/(a*x+b*x**(1-n)),x)","\begin{cases} \tilde{\infty} \log{\left(x \right)} & \text{for}\: a = 0 \wedge b = 0 \wedge n = 0 \\\frac{\log{\left(x \right)}}{a + b} & \text{for}\: n = 0 \\\frac{x^{n}}{b n} & \text{for}\: a = 0 \\\frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{\log{\left(x \right)}}{a} + \frac{\log{\left(\frac{a}{b} + x^{- n} \right)}}{a n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(x), Eq(a, 0) & Eq(b, 0) & Eq(n, 0)), (log(x)/(a + b), Eq(n, 0)), (x**n/(b*n), Eq(a, 0)), (log(x)/a, Eq(b, 0)), (log(x)/a + log(a/b + x**(-n))/(a*n), True))","A",0
358,1,20,0,1.508376," ","integrate(1/(2*x+3*x**(1+n)),x)","\begin{cases} \frac{\log{\left(x \right)}}{2} - \frac{\log{\left(x^{n} + \frac{2}{3} \right)}}{2 n} & \text{for}\: n \neq 0 \\\frac{\log{\left(x \right)}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)/2 - log(x**n + 2/3)/(2*n), Ne(n, 0)), (log(x)/5, True))","A",0
359,1,22,0,1.701879," ","integrate(1/(2*x+3*x**(1-n)),x)","\begin{cases} \frac{\log{\left(x \right)}}{2} + \frac{\log{\left(\frac{2}{3} + x^{- n} \right)}}{2 n} & \text{for}\: n \neq 0 \\\frac{\log{\left(x \right)}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)/2 + log(2/3 + x**(-n))/(2*n), Ne(n, 0)), (log(x)/5, True))","A",0
360,1,8,0,0.178428," ","integrate(1/(x-x**(1/2)),x)","2 \log{\left(\sqrt{x} - 1 \right)}"," ",0,"2*log(sqrt(x) - 1)","A",0
361,1,22,0,0.373873," ","integrate(1/(-x**(3/5)+x),x)","\frac{5 \log{\left(\sqrt[5]{x} - 1 \right)}}{2} + \frac{5 \log{\left(\sqrt[5]{x} + 1 \right)}}{2}"," ",0,"5*log(x**(1/5) - 1)/2 + 5*log(x**(1/5) + 1)/2","B",0
362,1,10,0,0.259458," ","integrate(1/(1/x**(1/3)+x),x)","\frac{3 \log{\left(x^{\frac{4}{3}} + 1 \right)}}{4}"," ",0,"3*log(x**(4/3) + 1)/4","A",0
363,1,32,0,0.444579," ","integrate(1/(x+x**(2**(1/2))),x)","- \frac{2 \log{\left(x \right)}}{-2 + \sqrt{2}} + \frac{\sqrt{2} \log{\left(x + x^{\sqrt{2}} \right)}}{-2 + \sqrt{2}}"," ",0,"-2*log(x)/(-2 + sqrt(2)) + sqrt(2)*log(x + x**(sqrt(2)))/(-2 + sqrt(2))","A",0
364,0,0,0,0.000000," ","integrate(x**(-1-1/2*j)*(a*x**j+b*x**n)**(1/2),x)","\int x^{- \frac{j}{2} - 1} \sqrt{a x^{j} + b x^{n}}\, dx"," ",0,"Integral(x**(-j/2 - 1)*sqrt(a*x**j + b*x**n), x)","F",0
365,0,0,0,0.000000," ","integrate((c*x)**(-1-1/2*j)*(a*x**j+b*x**n)**(1/2),x)","\int \left(c x\right)^{- \frac{j}{2} - 1} \sqrt{a x^{j} + b x^{n}}\, dx"," ",0,"Integral((c*x)**(-j/2 - 1)*sqrt(a*x**j + b*x**n), x)","F",0
366,0,0,0,0.000000," ","integrate((a*x**3+b*x**n)**(1/2)/(c*x)**(5/2),x)","\int \frac{\sqrt{a x^{3} + b x^{n}}}{\left(c x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(a*x**3 + b*x**n)/(c*x)**(5/2), x)","F",0
367,0,0,0,0.000000," ","integrate((a*x**2+b*x**n)**(1/2)/c**2/x**2,x)","\frac{\int \frac{\sqrt{a x^{2} + b x^{n}}}{x^{2}}\, dx}{c^{2}}"," ",0,"Integral(sqrt(a*x**2 + b*x**n)/x**2, x)/c**2","F",0
368,0,0,0,0.000000," ","integrate((a*x+b*x**n)**(1/2)/(c*x)**(3/2),x)","\int \frac{\sqrt{a x + b x^{n}}}{\left(c x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(a*x + b*x**n)/(c*x)**(3/2), x)","F",0
369,1,78,0,1.776224," ","integrate((a+b*x**n)**(1/2)/c/x,x)","\frac{- \frac{2 \sqrt{a} \operatorname{asinh}{\left(\frac{\sqrt{a} x^{- \frac{n}{2}}}{\sqrt{b}} \right)}}{n} + \frac{2 a x^{- \frac{n}{2}}}{\sqrt{b} n \sqrt{\frac{a x^{- n}}{b} + 1}} + \frac{2 \sqrt{b} x^{\frac{n}{2}}}{n \sqrt{\frac{a x^{- n}}{b} + 1}}}{c}"," ",0,"(-2*sqrt(a)*asinh(sqrt(a)*x**(-n/2)/sqrt(b))/n + 2*a*x**(-n/2)/(sqrt(b)*n*sqrt(a*x**(-n)/b + 1)) + 2*sqrt(b)*x**(n/2)/(n*sqrt(a*x**(-n)/b + 1)))/c","A",0
370,0,0,0,0.000000," ","integrate((a/x+b*x**n)**(1/2)/(c*x)**(1/2),x)","\int \frac{\sqrt{\frac{a}{x} + b x^{n}}}{\sqrt{c x}}\, dx"," ",0,"Integral(sqrt(a/x + b*x**n)/sqrt(c*x), x)","F",0
371,0,0,0,0.000000," ","integrate((a/x**2+b*x**n)**(1/2),x)","\int \sqrt{\frac{a}{x^{2}} + b x^{n}}\, dx"," ",0,"Integral(sqrt(a/x**2 + b*x**n), x)","F",0
372,0,0,0,0.000000," ","integrate((c*x)**(1/2)*(a/x**3+b*x**n)**(1/2),x)","\int \sqrt{c x} \sqrt{\frac{a}{x^{3}} + b x^{n}}\, dx"," ",0,"Integral(sqrt(c*x)*sqrt(a/x**3 + b*x**n), x)","F",0
373,-1,0,0,0.000000," ","integrate((c*x)**(-1-3/2*j)*(a*x**j+b*x**n)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
374,-1,0,0,0.000000," ","integrate((a*x**3+b*x**n)**(3/2)/(c*x)**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
375,0,0,0,0.000000," ","integrate((a*x**2+b*x**n)**(3/2)/c**4/x**4,x)","\frac{\int \frac{a \sqrt{a x^{2} + b x^{n}}}{x^{2}}\, dx + \int \frac{b x^{n} \sqrt{a x^{2} + b x^{n}}}{x^{4}}\, dx}{c^{4}}"," ",0,"(Integral(a*sqrt(a*x**2 + b*x**n)/x**2, x) + Integral(b*x**n*sqrt(a*x**2 + b*x**n)/x**4, x))/c**4","F",0
376,0,0,0,0.000000," ","integrate((a*x+b*x**n)**(3/2)/(c*x)**(5/2),x)","\int \frac{\left(a x + b x^{n}\right)^{\frac{3}{2}}}{\left(c x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*x + b*x**n)**(3/2)/(c*x)**(5/2), x)","F",0
377,1,88,0,3.075983," ","integrate((a+b*x**n)**(3/2)/c/x,x)","\frac{\frac{8 a^{\frac{3}{2}} \sqrt{1 + \frac{b x^{n}}{a}}}{3 n} + \frac{a^{\frac{3}{2}} \log{\left(\frac{b x^{n}}{a} \right)}}{n} - \frac{2 a^{\frac{3}{2}} \log{\left(\sqrt{1 + \frac{b x^{n}}{a}} + 1 \right)}}{n} + \frac{2 \sqrt{a} b x^{n} \sqrt{1 + \frac{b x^{n}}{a}}}{3 n}}{c}"," ",0,"(8*a**(3/2)*sqrt(1 + b*x**n/a)/(3*n) + a**(3/2)*log(b*x**n/a)/n - 2*a**(3/2)*log(sqrt(1 + b*x**n/a) + 1)/n + 2*sqrt(a)*b*x**n*sqrt(1 + b*x**n/a)/(3*n))/c","A",0
378,0,0,0,0.000000," ","integrate((c*x)**(1/2)*(a/x+b*x**n)**(3/2),x)","\int \sqrt{c x} \left(\frac{a}{x} + b x^{n}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(sqrt(c*x)*(a/x + b*x**n)**(3/2), x)","F",0
379,0,0,0,0.000000," ","integrate(c**2*x**2*(a/x**2+b*x**n)**(3/2),x)","c^{2} \left(\int a \sqrt{\frac{a}{x^{2}} + b x^{n}}\, dx + \int b x^{2} x^{n} \sqrt{\frac{a}{x^{2}} + b x^{n}}\, dx\right)"," ",0,"c**2*(Integral(a*sqrt(a/x**2 + b*x**n), x) + Integral(b*x**2*x**n*sqrt(a/x**2 + b*x**n), x))","F",0
380,-1,0,0,0.000000," ","integrate((c*x)**(7/2)*(a/x**3+b*x**n)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
381,0,0,0,0.000000," ","integrate(c**5*x**5*(a/x**4+b*x**n)**(3/2),x)","c^{5} \left(\int a x \sqrt{\frac{a}{x^{4}} + b x^{n}}\, dx + \int b x^{5} x^{n} \sqrt{\frac{a}{x^{4}} + b x^{n}}\, dx\right)"," ",0,"c**5*(Integral(a*x*sqrt(a/x**4 + b*x**n), x) + Integral(b*x**5*x**n*sqrt(a/x**4 + b*x**n), x))","F",0
382,0,0,0,0.000000," ","integrate(((b*x+a)/x**2)**(1/2),x)","\int \sqrt{\frac{a + b x}{x^{2}}}\, dx"," ",0,"Integral(sqrt((a + b*x)/x**2), x)","F",0
383,0,0,0,0.000000," ","integrate(((b*x**2+a)/x**2)**(1/2),x)","\int \sqrt{\frac{a + b x^{2}}{x^{2}}}\, dx"," ",0,"Integral(sqrt((a + b*x**2)/x**2), x)","F",0
384,-1,0,0,0.000000," ","integrate(((b*x**3+a)/x**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
385,0,0,0,0.000000," ","integrate(((a+b*x**n)/x**2)**(1/2),x)","\int \sqrt{\frac{a + b x^{n}}{x^{2}}}\, dx"," ",0,"Integral(sqrt((a + b*x**n)/x**2), x)","F",0
386,0,0,0,0.000000," ","integrate(((b*x-a)/x**2)**(1/2),x)","\int \sqrt{\frac{- a + b x}{x^{2}}}\, dx"," ",0,"Integral(sqrt((-a + b*x)/x**2), x)","F",0
387,0,0,0,0.000000," ","integrate(((b*x**2-a)/x**2)**(1/2),x)","\int \sqrt{\frac{- a + b x^{2}}{x^{2}}}\, dx"," ",0,"Integral(sqrt((-a + b*x**2)/x**2), x)","F",0
388,-1,0,0,0.000000," ","integrate(((b*x**3-a)/x**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
389,0,0,0,0.000000," ","integrate(((-a+b*x**n)/x**2)**(1/2),x)","\int \sqrt{\frac{- a + b x^{n}}{x^{2}}}\, dx"," ",0,"Integral(sqrt((-a + b*x**n)/x**2), x)","F",0
390,0,0,0,0.000000," ","integrate((c*x)**(-1+1/2*j)/(a*x**j+b*x**n)**(1/2),x)","\int \frac{\left(c x\right)^{\frac{j}{2} - 1}}{\sqrt{a x^{j} + b x^{n}}}\, dx"," ",0,"Integral((c*x)**(j/2 - 1)/sqrt(a*x**j + b*x**n), x)","F",0
391,0,0,0,0.000000," ","integrate((c*x)**(1/2)/(a*x**3+b*x**n)**(1/2),x)","\int \frac{\sqrt{c x}}{\sqrt{a x^{3} + b x^{n}}}\, dx"," ",0,"Integral(sqrt(c*x)/sqrt(a*x**3 + b*x**n), x)","F",0
392,0,0,0,0.000000," ","integrate(1/(a*x**2+b*x**n)**(1/2),x)","\int \frac{1}{\sqrt{a x^{2} + b x^{n}}}\, dx"," ",0,"Integral(1/sqrt(a*x**2 + b*x**n), x)","F",0
393,0,0,0,0.000000," ","integrate(1/(c*x)**(1/2)/(a*x+b*x**n)**(1/2),x)","\int \frac{1}{\sqrt{c x} \sqrt{a x + b x^{n}}}\, dx"," ",0,"Integral(1/(sqrt(c*x)*sqrt(a*x + b*x**n)), x)","F",0
394,1,27,0,1.976377," ","integrate(1/c/x/(a+b*x**n)**(1/2),x)","- \frac{2 \operatorname{asinh}{\left(\frac{\sqrt{a} x^{- \frac{n}{2}}}{\sqrt{b}} \right)}}{\sqrt{a} c n}"," ",0,"-2*asinh(sqrt(a)*x**(-n/2)/sqrt(b))/(sqrt(a)*c*n)","A",0
395,0,0,0,0.000000," ","integrate(1/(c*x)**(3/2)/(a/x+b*x**n)**(1/2),x)","\int \frac{1}{\left(c x\right)^{\frac{3}{2}} \sqrt{\frac{a}{x} + b x^{n}}}\, dx"," ",0,"Integral(1/((c*x)**(3/2)*sqrt(a/x + b*x**n)), x)","F",0
396,0,0,0,0.000000," ","integrate(1/c**2/x**2/(a/x**2+b*x**n)**(1/2),x)","\frac{\int \frac{1}{x^{2} \sqrt{\frac{a}{x^{2}} + b x^{n}}}\, dx}{c^{2}}"," ",0,"Integral(1/(x**2*sqrt(a/x**2 + b*x**n)), x)/c**2","F",0
397,-1,0,0,0.000000," ","integrate(1/(c*x)**(5/2)/(a/x**3+b*x**n)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
398,0,0,0,0.000000," ","integrate((c*x)**(-1+3/2*j)/(a*x**j+b*x**n)**(3/2),x)","\int \frac{\left(c x\right)^{\frac{3 j}{2} - 1}}{\left(a x^{j} + b x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c*x)**(3*j/2 - 1)/(a*x**j + b*x**n)**(3/2), x)","F",0
399,-1,0,0,0.000000," ","integrate((c*x)**(7/2)/(a*x**3+b*x**n)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
400,0,0,0,0.000000," ","integrate(c**2*x**2/(a*x**2+b*x**n)**(3/2),x)","c^{2} \int \frac{x^{2}}{a x^{2} \sqrt{a x^{2} + b x^{n}} + b x^{n} \sqrt{a x^{2} + b x^{n}}}\, dx"," ",0,"c**2*Integral(x**2/(a*x**2*sqrt(a*x**2 + b*x**n) + b*x**n*sqrt(a*x**2 + b*x**n)), x)","F",0
401,0,0,0,0.000000," ","integrate((c*x)**(1/2)/(a*x+b*x**n)**(3/2),x)","\int \frac{\sqrt{c x}}{\left(a x + b x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(c*x)/(a*x + b*x**n)**(3/2), x)","F",0
402,1,185,0,3.720639," ","integrate(1/c/x/(a+b*x**n)**(3/2),x)","\frac{\frac{2 a^{3} \sqrt{1 + \frac{b x^{n}}{a}}}{a^{\frac{9}{2}} n + a^{\frac{7}{2}} b n x^{n}} + \frac{a^{3} \log{\left(\frac{b x^{n}}{a} \right)}}{a^{\frac{9}{2}} n + a^{\frac{7}{2}} b n x^{n}} - \frac{2 a^{3} \log{\left(\sqrt{1 + \frac{b x^{n}}{a}} + 1 \right)}}{a^{\frac{9}{2}} n + a^{\frac{7}{2}} b n x^{n}} + \frac{a^{2} b x^{n} \log{\left(\frac{b x^{n}}{a} \right)}}{a^{\frac{9}{2}} n + a^{\frac{7}{2}} b n x^{n}} - \frac{2 a^{2} b x^{n} \log{\left(\sqrt{1 + \frac{b x^{n}}{a}} + 1 \right)}}{a^{\frac{9}{2}} n + a^{\frac{7}{2}} b n x^{n}}}{c}"," ",0,"(2*a**3*sqrt(1 + b*x**n/a)/(a**(9/2)*n + a**(7/2)*b*n*x**n) + a**3*log(b*x**n/a)/(a**(9/2)*n + a**(7/2)*b*n*x**n) - 2*a**3*log(sqrt(1 + b*x**n/a) + 1)/(a**(9/2)*n + a**(7/2)*b*n*x**n) + a**2*b*x**n*log(b*x**n/a)/(a**(9/2)*n + a**(7/2)*b*n*x**n) - 2*a**2*b*x**n*log(sqrt(1 + b*x**n/a) + 1)/(a**(9/2)*n + a**(7/2)*b*n*x**n))/c","B",0
403,-1,0,0,0.000000," ","integrate(1/(c*x)**(5/2)/(a/x+b*x**n)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
404,0,0,0,0.000000," ","integrate(1/c**4/x**4/(a/x**2+b*x**n)**(3/2),x)","\frac{\int \frac{1}{a x^{2} \sqrt{\frac{a}{x^{2}} + b x^{n}} + b x^{4} x^{n} \sqrt{\frac{a}{x^{2}} + b x^{n}}}\, dx}{c^{4}}"," ",0,"Integral(1/(a*x**2*sqrt(a/x**2 + b*x**n) + b*x**4*x**n*sqrt(a/x**2 + b*x**n)), x)/c**4","F",0
405,-1,0,0,0.000000," ","integrate(1/(c*x)**(11/2)/(a/x**3+b*x**n)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
406,0,0,0,0.000000," ","integrate(1/c**7/x**7/(a/x**4+b*x**n)**(3/2),x)","\frac{\int \frac{1}{a x^{3} \sqrt{\frac{a}{x^{4}} + b x^{n}} + b x^{7} x^{n} \sqrt{\frac{a}{x^{4}} + b x^{n}}}\, dx}{c^{7}}"," ",0,"Integral(1/(a*x**3*sqrt(a/x**4 + b*x**n) + b*x**7*x**n*sqrt(a/x**4 + b*x**n)), x)/c**7","F",0
407,0,0,0,0.000000," ","integrate(1/((b*x**3+a)/x)**(1/2),x)","\int \frac{1}{\sqrt{\frac{a + b x^{3}}{x}}}\, dx"," ",0,"Integral(1/sqrt((a + b*x**3)/x), x)","F",0
408,0,0,0,0.000000," ","integrate(1/((b*x**4+a)/x**2)**(1/2),x)","\int \frac{1}{\sqrt{\frac{a + b x^{4}}{x^{2}}}}\, dx"," ",0,"Integral(1/sqrt((a + b*x**4)/x**2), x)","F",0
409,-1,0,0,0.000000," ","integrate(1/((b*x**5+a)/x**3)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
410,0,0,0,0.000000," ","integrate(1/(x**(2-n)*(a+b*x**n))**(1/2),x)","\int \frac{1}{\sqrt{x^{2 - n} \left(a + b x^{n}\right)}}\, dx"," ",0,"Integral(1/sqrt(x**(2 - n)*(a + b*x**n)), x)","F",0
411,0,0,0,0.000000," ","integrate(1/((-b*x**3+a)/x)**(1/2),x)","\int \frac{1}{\sqrt{\frac{a - b x^{3}}{x}}}\, dx"," ",0,"Integral(1/sqrt((a - b*x**3)/x), x)","F",0
412,0,0,0,0.000000," ","integrate(1/((-b*x**4+a)/x**2)**(1/2),x)","\int \frac{1}{\sqrt{\frac{a - b x^{4}}{x^{2}}}}\, dx"," ",0,"Integral(1/sqrt((a - b*x**4)/x**2), x)","F",0
413,-1,0,0,0.000000," ","integrate(1/((-b*x**5+a)/x**3)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,0,0,0,0.000000," ","integrate(1/(x**(2-n)*(a-b*x**n))**(1/2),x)","\int \frac{1}{\sqrt{x^{2 - n} \left(a - b x^{n}\right)}}\, dx"," ",0,"Integral(1/sqrt(x**(2 - n)*(a - b*x**n)), x)","F",0
415,0,0,0,0.000000," ","integrate(1/(x**n*(a+b*x**(2-n)))**(1/2),x)","\int \frac{1}{\sqrt{x^{n} \left(a + b x^{2 - n}\right)}}\, dx"," ",0,"Integral(1/sqrt(x**n*(a + b*x**(2 - n))), x)","F",0
416,0,0,0,0.000000," ","integrate(1/(x**2*(b+a*x**(-2+n)))**(1/2),x)","\int \frac{1}{\sqrt{x^{2} \left(a x^{n - 2} + b\right)}}\, dx"," ",0,"Integral(1/sqrt(x**2*(a*x**(n - 2) + b)), x)","F",0
417,0,0,0,0.000000," ","integrate(1/(x*(b*x+a*x**(-1+n)))**(1/2),x)","\int \frac{1}{\sqrt{x \left(a x^{n - 1} + b x\right)}}\, dx"," ",0,"Integral(1/sqrt(x*(a*x**(n - 1) + b*x)), x)","F",0
418,0,0,0,0.000000," ","integrate(1/(x**n*(a-b*x**(2-n)))**(1/2),x)","\int \frac{1}{\sqrt{x^{n} \left(a - b x^{2 - n}\right)}}\, dx"," ",0,"Integral(1/sqrt(x**n*(a - b*x**(2 - n))), x)","F",0
419,0,0,0,0.000000," ","integrate(1/(x**2*(-b+a*x**(-2+n)))**(1/2),x)","\int \frac{1}{\sqrt{x^{2} \left(a x^{n - 2} - b\right)}}\, dx"," ",0,"Integral(1/sqrt(x**2*(a*x**(n - 2) - b)), x)","F",0
420,0,0,0,0.000000," ","integrate(1/(x*(-b*x+a*x**(-1+n)))**(1/2),x)","\int \frac{1}{\sqrt{x \left(a x^{n - 1} - b x\right)}}\, dx"," ",0,"Integral(1/sqrt(x*(a*x**(n - 1) - b*x)), x)","F",0
421,0,0,0,0.000000," ","integrate((c*x)**m*(a*x**j+b*x**n)**(3/2),x)","\int \left(c x\right)^{m} \left(a x^{j} + b x^{n}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((c*x)**m*(a*x**j + b*x**n)**(3/2), x)","F",0
422,0,0,0,0.000000," ","integrate((c*x)**m*(a*x**j+b*x**n)**(1/2),x)","\int \left(c x\right)^{m} \sqrt{a x^{j} + b x^{n}}\, dx"," ",0,"Integral((c*x)**m*sqrt(a*x**j + b*x**n), x)","F",0
423,0,0,0,0.000000," ","integrate((c*x)**m/(a*x**j+b*x**n)**(1/2),x)","\int \frac{\left(c x\right)^{m}}{\sqrt{a x^{j} + b x^{n}}}\, dx"," ",0,"Integral((c*x)**m/sqrt(a*x**j + b*x**n), x)","F",0
424,0,0,0,0.000000," ","integrate((c*x)**m/(a*x**j+b*x**n)**(3/2),x)","\int \frac{\left(c x\right)^{m}}{\left(a x^{j} + b x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c*x)**m/(a*x**j + b*x**n)**(3/2), x)","F",0
425,0,0,0,0.000000," ","integrate((c*x)**m/(a*x**j+b*x**n)**(5/2),x)","\int \frac{\left(c x\right)^{m}}{\left(a x^{j} + b x^{n}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((c*x)**m/(a*x**j + b*x**n)**(5/2), x)","F",0
426,0,0,0,0.000000," ","integrate((a*x**j+b*x**n)**(3/2),x)","\int \left(a x^{j} + b x^{n}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*x**j + b*x**n)**(3/2), x)","F",0
427,0,0,0,0.000000," ","integrate((a*x**j+b*x**n)**(1/2),x)","\int \sqrt{a x^{j} + b x^{n}}\, dx"," ",0,"Integral(sqrt(a*x**j + b*x**n), x)","F",0
428,0,0,0,0.000000," ","integrate(1/(a*x**j+b*x**n)**(1/2),x)","\int \frac{1}{\sqrt{a x^{j} + b x^{n}}}\, dx"," ",0,"Integral(1/sqrt(a*x**j + b*x**n), x)","F",0
429,0,0,0,0.000000," ","integrate(1/(a*x**j+b*x**n)**(3/2),x)","\int \frac{1}{\left(a x^{j} + b x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x**j + b*x**n)**(-3/2), x)","F",0
430,0,0,0,0.000000," ","integrate(1/(a*x**j+b*x**n)**(5/2),x)","\int \frac{1}{\left(a x^{j} + b x^{n}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*x**j + b*x**n)**(-5/2), x)","F",0
431,0,0,0,0.000000," ","integrate(((1+x)/x**5)**(1/2),x)","\int \sqrt{\frac{x + 1}{x^{5}}}\, dx"," ",0,"Integral(sqrt((x + 1)/x**5), x)","F",0
432,0,0,0,0.000000," ","integrate((x+x**(5/2))**(1/2),x)","\int \sqrt{x^{\frac{5}{2}} + x}\, dx"," ",0,"Integral(sqrt(x**(5/2) + x), x)","F",0
433,1,7,0,0.212846," ","integrate(1/(x**(3/2)+x**(1/2)),x)","2 \operatorname{atan}{\left(\sqrt{x} \right)}"," ",0,"2*atan(sqrt(x))","A",0
434,-1,0,0,0.000000," ","integrate(x*(x**2*(b*x**3+a))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
435,0,0,0,0.000000," ","integrate(x*(b*x**5+a*x**2)**(1/2),x)","\int x \sqrt{x^{2} \left(a + b x^{3}\right)}\, dx"," ",0,"Integral(x*sqrt(x**2*(a + b*x**3)), x)","F",0
436,0,0,0,0.000000," ","integrate((x**4*(b*x**3+a))**(1/2),x)","\int \sqrt{x^{4} \left(a + b x^{3}\right)}\, dx"," ",0,"Integral(sqrt(x**4*(a + b*x**3)), x)","F",0
437,0,0,0,0.000000," ","integrate(1/(a*x**(1/3)+b*x**(2/3))**(1/3),x)","\int \frac{1}{\sqrt[3]{a \sqrt[3]{x} + b x^{\frac{2}{3}}}}\, dx"," ",0,"Integral((a*x**(1/3) + b*x**(2/3))**(-1/3), x)","F",0
438,0,0,0,0.000000," ","integrate(1/(a*x**(1/3)+b*x**(2/3))**(2/3),x)","\int \frac{1}{\left(a \sqrt[3]{x} + b x^{\frac{2}{3}}\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral((a*x**(1/3) + b*x**(2/3))**(-2/3), x)","F",0
439,0,0,0,0.000000," ","integrate(x**m*(a*x**j+b*x**n)**p,x)","\int x^{m} \left(a x^{j} + b x^{n}\right)^{p}\, dx"," ",0,"Integral(x**m*(a*x**j + b*x**n)**p, x)","F",0
440,-1,0,0,0.000000," ","integrate(x**(-p*q-1)*(b*x**n+a*x**q)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
441,-1,0,0,0.000000," ","integrate(x**(-n*p-1)*(b*x**n+a*x**q)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
442,-1,0,0,0.000000," ","integrate(x**(-1-n-(-1+p)*q)*(b*x**n+a*x**q)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
443,-1,0,0,0.000000," ","integrate(x**(-1-n*(-1+p)-q)*(b*x**n+a*x**q)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
444,0,0,0,0.000000," ","integrate((a*x**m+b*x**(m*p+m+1))**p,x)","\int \left(a x^{m} + b x^{m p + m + 1}\right)^{p}\, dx"," ",0,"Integral((a*x**m + b*x**(m*p + m + 1))**p, x)","F",0
445,0,0,0,0.000000," ","integrate((x**m*(a+b*x**(m*p+1)))**p,x)","\int \left(x^{m} \left(a + b x^{m p + 1}\right)\right)^{p}\, dx"," ",0,"Integral((x**m*(a + b*x**(m*p + 1)))**p, x)","F",0
446,-1,0,0,0.000000," ","integrate(x**n*(x**m*(a+b*x**(m*p+n+1)))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
447,-1,0,0,0.000000," ","integrate(x**n*(a*x**m+b*x**(m*p+m+n+1))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
448,-1,0,0,0.000000," ","integrate((x**(-2+2*n)*(a+b*x**n))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
449,-1,0,0,0.000000," ","integrate((x**(-3+3*n)*(a+b*x**n))**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
450,-1,0,0,0.000000," ","integrate((x**(-4+4*n)*(a+b*x**n))**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
451,0,0,0,0.000000," ","integrate((x**((-1+n)*p)*(a+b*x**n))**(1/p),x)","\int \left(x^{p \left(n - 1\right)} \left(a + b x^{n}\right)\right)^{\frac{1}{p}}\, dx"," ",0,"Integral((x**(p*(n - 1))*(a + b*x**n))**(1/p), x)","F",0
452,0,0,0,0.000000," ","integrate((x**((-1+n)/p)*(a+b*x**n))**p,x)","\int \left(x^{\frac{n - 1}{p}} \left(a + b x^{n}\right)\right)^{p}\, dx"," ",0,"Integral((x**((n - 1)/p)*(a + b*x**n))**p, x)","F",0
453,-1,0,0,0.000000," ","integrate(x**(-1+n-p*(1+q))*(a*x**n+b*x**p)**q,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
454,-1,0,0,0.000000," ","integrate(x**(-1-n*q-p*(1+q))*(x**n*(a+b*x**p))**q,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
