1,1,13,0,0.161776," ","integrate(x^2*(b*x^3+a*x),x, algorithm=""giac"")","\frac{1}{6} \, b x^{6} + \frac{1}{4} \, a x^{4}"," ",0,"1/6*b*x^6 + 1/4*a*x^4","A",0
2,1,13,0,0.147229," ","integrate(x*(b*x^3+a*x),x, algorithm=""giac"")","\frac{1}{5} \, b x^{5} + \frac{1}{3} \, a x^{3}"," ",0,"1/5*b*x^5 + 1/3*a*x^3","A",0
3,1,13,0,0.146394," ","integrate(b*x^3+a*x,x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} + \frac{1}{2} \, a x^{2}"," ",0,"1/4*b*x^4 + 1/2*a*x^2","A",0
4,1,10,0,0.145592," ","integrate((b*x^3+a*x)/x,x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} + a x"," ",0,"1/3*b*x^3 + a*x","A",0
5,1,14,0,0.150221," ","integrate((b*x^3+a*x)/x^2,x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} + \frac{1}{2} \, a \log\left(x^{2}\right)"," ",0,"1/2*b*x^2 + 1/2*a*log(x^2)","A",0
6,1,24,0,0.148446," ","integrate(x^2*(b*x^3+a*x)^2,x, algorithm=""giac"")","\frac{1}{9} \, b^{2} x^{9} + \frac{2}{7} \, a b x^{7} + \frac{1}{5} \, a^{2} x^{5}"," ",0,"1/9*b^2*x^9 + 2/7*a*b*x^7 + 1/5*a^2*x^5","A",0
7,1,24,0,0.157231," ","integrate(x*(b*x^3+a*x)^2,x, algorithm=""giac"")","\frac{1}{8} \, b^{2} x^{8} + \frac{1}{3} \, a b x^{6} + \frac{1}{4} \, a^{2} x^{4}"," ",0,"1/8*b^2*x^8 + 1/3*a*b*x^6 + 1/4*a^2*x^4","A",0
8,1,24,0,0.150420," ","integrate((b*x^3+a*x)^2,x, algorithm=""giac"")","\frac{1}{7} \, b^{2} x^{7} + \frac{2}{5} \, a b x^{5} + \frac{1}{3} \, a^{2} x^{3}"," ",0,"1/7*b^2*x^7 + 2/5*a*b*x^5 + 1/3*a^2*x^3","A",0
9,1,24,0,0.196591," ","integrate((b*x^3+a*x)^2/x,x, algorithm=""giac"")","\frac{1}{6} \, b^{2} x^{6} + \frac{1}{2} \, a b x^{4} + \frac{1}{2} \, a^{2} x^{2}"," ",0,"1/6*b^2*x^6 + 1/2*a*b*x^4 + 1/2*a^2*x^2","A",0
10,1,21,0,0.151986," ","integrate((b*x^3+a*x)^2/x^2,x, algorithm=""giac"")","\frac{1}{5} \, b^{2} x^{5} + \frac{2}{3} \, a b x^{3} + a^{2} x"," ",0,"1/5*b^2*x^5 + 2/3*a*b*x^3 + a^2*x","A",0
11,1,36,0,0.153124," ","integrate((3*x^3-4*x)^6,x, algorithm=""giac"")","\frac{729}{19} \, x^{19} - \frac{5832}{17} \, x^{17} + 1296 \, x^{15} - \frac{34560}{13} \, x^{13} + \frac{34560}{11} \, x^{11} - 2048 \, x^{9} + \frac{4096}{7} \, x^{7}"," ",0,"729/19*x^19 - 5832/17*x^17 + 1296*x^15 - 34560/13*x^13 + 34560/11*x^11 - 2048*x^9 + 4096/7*x^7","A",0
12,1,24,0,0.154932," ","integrate(x^4/(b*x^3+a*x),x, algorithm=""giac"")","\frac{x^{2}}{2 \, b} - \frac{a \log\left({\left| b x^{2} + a \right|}\right)}{2 \, b^{2}}"," ",0,"1/2*x^2/b - 1/2*a*log(abs(b*x^2 + a))/b^2","A",0
13,1,26,0,0.147506," ","integrate(x^3/(b*x^3+a*x),x, algorithm=""giac"")","-\frac{a \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b} + \frac{x}{b}"," ",0,"-a*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b) + x/b","A",0
14,1,14,0,0.191170," ","integrate(x^2/(b*x^3+a*x),x, algorithm=""giac"")","\frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, b}"," ",0,"1/2*log(abs(b*x^2 + a))/b","A",0
15,1,15,0,0.153307," ","integrate(x/(b*x^3+a*x),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"arctan(b*x/sqrt(a*b))/sqrt(a*b)","A",0
16,1,24,0,0.147296," ","integrate(1/(b*x^3+a*x),x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a} - \frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, a}"," ",0,"1/2*log(x^2)/a - 1/2*log(abs(b*x^2 + a))/a","A",0
17,1,29,0,0.152865," ","integrate(1/x/(b*x^3+a*x),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a} - \frac{1}{a x}"," ",0,"-b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a) - 1/(a*x)","A",0
18,1,43,0,0.167378," ","integrate(1/x^2/(b*x^3+a*x),x, algorithm=""giac"")","-\frac{b \log\left(x^{2}\right)}{2 \, a^{2}} + \frac{b \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{2}} + \frac{b x^{2} - a}{2 \, a^{2} x^{2}}"," ",0,"-1/2*b*log(x^2)/a^2 + 1/2*b*log(abs(b*x^2 + a))/a^2 + 1/2*(b*x^2 - a)/(a^2*x^2)","A",0
19,1,40,0,0.152682," ","integrate(1/x^3/(b*x^3+a*x),x, algorithm=""giac"")","\frac{b^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} + \frac{3 \, b x^{2} - a}{3 \, a^{2} x^{3}}"," ",0,"b^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2) + 1/3*(3*b*x^2 - a)/(a^2*x^3)","A",0
20,1,57,0,0.156508," ","integrate(1/x^4/(b*x^3+a*x),x, algorithm=""giac"")","\frac{b^{2} \log\left(x^{2}\right)}{2 \, a^{3}} - \frac{b^{2} \log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{3}} - \frac{3 \, b^{2} x^{4} - 2 \, a b x^{2} + a^{2}}{4 \, a^{3} x^{4}}"," ",0,"1/2*b^2*log(x^2)/a^3 - 1/2*b^2*log(abs(b*x^2 + a))/a^3 - 1/4*(3*b^2*x^4 - 2*a*b*x^2 + a^2)/(a^3*x^4)","A",0
21,1,35,0,0.169177," ","integrate(x^2/(b*x^3+a*x)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a} + \frac{x}{2 \, {\left(b x^{2} + a\right)} a}"," ",0,"1/2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a) + 1/2*x/((b*x^2 + a)*a)","A",0
22,1,47,0,0.158198," ","integrate(x/(b*x^3+a*x)^2,x, algorithm=""giac"")","\frac{\log\left(x^{2}\right)}{2 \, a^{2}} - \frac{\log\left({\left| b x^{2} + a \right|}\right)}{2 \, a^{2}} + \frac{b x^{2} + 2 \, a}{2 \, {\left(b x^{2} + a\right)} a^{2}}"," ",0,"1/2*log(x^2)/a^2 - 1/2*log(abs(b*x^2 + a))/a^2 + 1/2*(b*x^2 + 2*a)/((b*x^2 + a)*a^2)","A",0
23,1,47,0,0.151748," ","integrate(1/(b*x^3+a*x)^2,x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{2}} - \frac{3 \, b x^{2} + 2 \, a}{2 \, {\left(b x^{3} + a x\right)} a^{2}}"," ",0,"-3/2*b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2) - 1/2*(3*b*x^2 + 2*a)/((b*x^3 + a*x)*a^2)","A",0
24,1,51,0,0.208714," ","integrate(1/x/(b*x^3+a*x)^2,x, algorithm=""giac"")","-\frac{b \log\left(x^{2}\right)}{a^{3}} + \frac{b \log\left({\left| b x^{2} + a \right|}\right)}{a^{3}} - \frac{2 \, b x^{2} + a}{2 \, {\left(b x^{4} + a x^{2}\right)} a^{2}}"," ",0,"-b*log(x^2)/a^3 + b*log(abs(b*x^2 + a))/a^3 - 1/2*(2*b*x^2 + a)/((b*x^4 + a*x^2)*a^2)","A",0
25,1,59,0,0.168027," ","integrate(1/x^2/(b*x^3+a*x)^2,x, algorithm=""giac"")","\frac{5 \, b^{2} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{3}} + \frac{b^{2} x}{2 \, {\left(b x^{2} + a\right)} a^{3}} + \frac{6 \, b x^{2} - a}{3 \, a^{3} x^{3}}"," ",0,"5/2*b^2*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^3) + 1/2*b^2*x/((b*x^2 + a)*a^3) + 1/3*(6*b*x^2 - a)/(a^3*x^3)","A",0
26,1,23,0,0.173640," ","integrate(x^5/(-x^3+x),x, algorithm=""giac"")","-\frac{1}{3} \, x^{3} - x + \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right) - \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/3*x^3 - x + 1/2*log(abs(x + 1)) - 1/2*log(abs(x - 1))","B",0
27,1,15,0,0.150579," ","integrate(x^4/(-x^3+x),x, algorithm=""giac"")","-\frac{1}{2} \, x^{2} - \frac{1}{2} \, \log\left({\left| x^{2} - 1 \right|}\right)"," ",0,"-1/2*x^2 - 1/2*log(abs(x^2 - 1))","A",0
28,1,18,0,0.165952," ","integrate(x^3/(-x^3+x),x, algorithm=""giac"")","-x + \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right) - \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-x + 1/2*log(abs(x + 1)) - 1/2*log(abs(x - 1))","B",0
29,1,15,0,0.147600," ","integrate(x^2/(-x^3+x),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left({\left| x + 1 \right|}\right) - \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/2*log(abs(x + 1)) - 1/2*log(abs(x - 1))","A",0
30,1,15,0,0.167708," ","integrate(x/(-x^3+x),x, algorithm=""giac"")","\frac{1}{2} \, \log\left({\left| x + 1 \right|}\right) - \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"1/2*log(abs(x + 1)) - 1/2*log(abs(x - 1))","B",0
31,1,16,0,0.156480," ","integrate(1/(-x^3+x),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(x^{2}\right) - \frac{1}{2} \, \log\left({\left| x^{2} - 1 \right|}\right)"," ",0,"1/2*log(x^2) - 1/2*log(abs(x^2 - 1))","A",0
32,1,20,0,0.152639," ","integrate(1/x/(-x^3+x),x, algorithm=""giac"")","-\frac{1}{x} + \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right) - \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/x + 1/2*log(abs(x + 1)) - 1/2*log(abs(x - 1))","B",0
33,1,26,0,0.150861," ","integrate(1/x^2/(-x^3+x),x, algorithm=""giac"")","-\frac{x^{2} + 1}{2 \, x^{2}} + \frac{1}{2} \, \log\left(x^{2}\right) - \frac{1}{2} \, \log\left({\left| x^{2} - 1 \right|}\right)"," ",0,"-1/2*(x^2 + 1)/x^2 + 1/2*log(x^2) - 1/2*log(abs(x^2 - 1))","A",0
34,1,27,0,0.148417," ","integrate(1/x^3/(-x^3+x),x, algorithm=""giac"")","-\frac{3 \, x^{2} + 1}{3 \, x^{3}} + \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right) - \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/3*(3*x^2 + 1)/x^3 + 1/2*log(abs(x + 1)) - 1/2*log(abs(x - 1))","B",0
35,1,33,0,0.159956," ","integrate(1/x^4/(-x^3+x),x, algorithm=""giac"")","-\frac{3 \, x^{4} + 2 \, x^{2} + 1}{4 \, x^{4}} + \frac{1}{2} \, \log\left(x^{2}\right) - \frac{1}{2} \, \log\left({\left| x^{2} - 1 \right|}\right)"," ",0,"-1/4*(3*x^4 + 2*x^2 + 1)/x^4 + 1/2*log(x^2) - 1/2*log(abs(x^2 - 1))","A",0
36,1,18,0,0.148563," ","integrate(1/(b*x^3+x),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(x^{2}\right) - \frac{1}{2} \, \log\left({\left| b x^{2} + 1 \right|}\right)"," ",0,"1/2*log(x^2) - 1/2*log(abs(b*x^2 + 1))","A",0
37,1,18,0,0.147877," ","integrate(1/(b*x^3-x),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(x^{2}\right) + \frac{1}{2} \, \log\left({\left| b x^{2} - 1 \right|}\right)"," ",0,"-1/2*log(x^2) + 1/2*log(abs(b*x^2 - 1))","A",0
38,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{b x^{3} + a x} x^{3}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a*x)*x^3, x)","F",0
39,0,0,0,0.000000," ","integrate(x^2*(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{b x^{3} + a x} x^{2}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a*x)*x^2, x)","F",0
40,0,0,0,0.000000," ","integrate(x*(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{b x^{3} + a x} x\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a*x)*x, x)","F",0
41,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{b x^{3} + a x}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a*x), x)","F",0
42,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(1/2)/x,x, algorithm=""giac"")","\int \frac{\sqrt{b x^{3} + a x}}{x}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a*x)/x, x)","F",0
43,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(1/2)/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{b x^{3} + a x}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a*x)/x^2, x)","F",0
44,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(1/2)/x^3,x, algorithm=""giac"")","\int \frac{\sqrt{b x^{3} + a x}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a*x)/x^3, x)","F",0
45,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(1/2)/x^4,x, algorithm=""giac"")","\int \frac{\sqrt{b x^{3} + a x}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a*x)/x^4, x)","F",0
46,0,0,0,0.000000," ","integrate(x^2*(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int {\left(b x^{3} + a x\right)}^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)*x^2, x)","F",0
47,0,0,0,0.000000," ","integrate(x*(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int {\left(b x^{3} + a x\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)*x, x)","F",0
48,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int {\left(b x^{3} + a x\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2), x)","F",0
49,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(3/2)/x,x, algorithm=""giac"")","\int \frac{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)/x, x)","F",0
50,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(3/2)/x^2,x, algorithm=""giac"")","\int \frac{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)/x^2, x)","F",0
51,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(3/2)/x^3,x, algorithm=""giac"")","\int \frac{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)/x^3, x)","F",0
52,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(3/2)/x^4,x, algorithm=""giac"")","\int \frac{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}{x^{4}}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)/x^4, x)","F",0
53,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(3/2)/x^5,x, algorithm=""giac"")","\int \frac{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}{x^{5}}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)/x^5, x)","F",0
54,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(3/2)/x^6,x, algorithm=""giac"")","\int \frac{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}{x^{6}}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)/x^6, x)","F",0
55,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(3/2)/x^7,x, algorithm=""giac"")","\int \frac{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}{x^{7}}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)/x^7, x)","F",0
56,0,0,0,0.000000," ","integrate((b*x^3+a*x)^(3/2)/x^8,x, algorithm=""giac"")","\int \frac{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}{x^{8}}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(3/2)/x^8, x)","F",0
57,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\sqrt{b x^{3} + a x}}\,{d x}"," ",0,"integrate(x^4/sqrt(b*x^3 + a*x), x)","F",0
58,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{b x^{3} + a x}}\,{d x}"," ",0,"integrate(x^3/sqrt(b*x^3 + a*x), x)","F",0
59,0,0,0,0.000000," ","integrate(x^2/(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{b x^{3} + a x}}\,{d x}"," ",0,"integrate(x^2/sqrt(b*x^3 + a*x), x)","F",0
60,0,0,0,0.000000," ","integrate(x/(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{x}{\sqrt{b x^{3} + a x}}\,{d x}"," ",0,"integrate(x/sqrt(b*x^3 + a*x), x)","F",0
61,0,0,0,0.000000," ","integrate(1/(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{3} + a x}}\,{d x}"," ",0,"integrate(1/sqrt(b*x^3 + a*x), x)","F",0
62,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{3} + a x} x}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a*x)*x), x)","F",0
63,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{3} + a x} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a*x)*x^2), x)","F",0
64,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{3} + a x} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a*x)*x^3), x)","F",0
65,0,0,0,0.000000," ","integrate(x^7/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{7}}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^7/(b*x^3 + a*x)^(3/2), x)","F",0
66,0,0,0,0.000000," ","integrate(x^6/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{6}}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/(b*x^3 + a*x)^(3/2), x)","F",0
67,0,0,0,0.000000," ","integrate(x^5/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{5}}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^5/(b*x^3 + a*x)^(3/2), x)","F",0
68,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{4}}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/(b*x^3 + a*x)^(3/2), x)","F",0
69,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/(b*x^3 + a*x)^(3/2), x)","F",0
70,0,0,0,0.000000," ","integrate(x^2/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(b*x^3 + a*x)^(3/2), x)","F",0
71,0,0,0,0.000000," ","integrate(x/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(b*x^3 + a*x)^(3/2), x)","F",0
72,0,0,0,0.000000," ","integrate(1/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^3 + a*x)^(-3/2), x)","F",0
73,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((b*x^3 + a*x)^(3/2)*x), x)","F",0
74,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{3} + a x\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a*x)^(3/2)*x^2), x)","F",0
75,1,100,0,0.325409," ","integrate(x^(29/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{{\left({\left({\left(x^{2} {\left(\frac{35 \, x^{2}}{b} + \frac{528 \, a}{b^{2}}\right)} + \frac{1218 \, a^{2}}{b^{3}}\right)} x^{2} + \frac{1050 \, a^{3}}{b^{4}}\right)} x^{2} + \frac{315 \, a^{4}}{b^{5}}\right)} x}{70 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}} + \frac{9 \, a \log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{2 \, b^{\frac{11}{2}}} - \frac{9 \, a \log\left({\left| a \right|}\right)}{4 \, b^{\frac{11}{2}}}"," ",0,"1/70*(((x^2*(35*x^2/b + 528*a/b^2) + 1218*a^2/b^3)*x^2 + 1050*a^3/b^4)*x^2 + 315*a^4/b^5)*x/(b*x^2 + a)^(7/2) + 9/2*a*log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(11/2) - 9/4*a*log(abs(a))/b^(11/2)","A",0
76,1,80,0,0.213997," ","integrate(x^(27/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{\sqrt{b x^{2} + a}}{b^{5}} - \frac{128 \, \sqrt{a}}{35 \, b^{5}} + \frac{140 \, {\left(b x^{2} + a\right)}^{3} a - 70 \, {\left(b x^{2} + a\right)}^{2} a^{2} + 28 \, {\left(b x^{2} + a\right)} a^{3} - 5 \, a^{4}}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{5}}"," ",0,"sqrt(b*x^2 + a)/b^5 - 128/35*sqrt(a)/b^5 + 1/35*(140*(b*x^2 + a)^3*a - 70*(b*x^2 + a)^2*a^2 + 28*(b*x^2 + a)*a^3 - 5*a^4)/((b*x^2 + a)^(7/2)*b^5)","A",0
77,1,86,0,0.304505," ","integrate(x^(25/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(x^{2} {\left(\frac{88 \, x^{2}}{b} + \frac{203 \, a}{b^{2}}\right)} + \frac{175 \, a^{2}}{b^{3}}\right)} x^{2} + \frac{105 \, a^{3}}{b^{4}}\right)} x}{105 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}} - \frac{\log\left({\left| -\sqrt{b} x + \sqrt{b x^{2} + a} \right|}\right)}{b^{\frac{9}{2}}} + \frac{\log\left({\left| a \right|}\right)}{2 \, b^{\frac{9}{2}}}"," ",0,"-1/105*(2*(x^2*(88*x^2/b + 203*a/b^2) + 175*a^2/b^3)*x^2 + 105*a^3/b^4)*x/(b*x^2 + a)^(7/2) - log(abs(-sqrt(b)*x + sqrt(b*x^2 + a)))/b^(9/2) + 1/2*log(abs(a))/b^(9/2)","A",0
78,1,64,0,0.205491," ","integrate(x^(23/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{16}{35 \, \sqrt{a} b^{4}} - \frac{35 \, {\left(b x^{2} + a\right)}^{3} - 35 \, {\left(b x^{2} + a\right)}^{2} a + 21 \, {\left(b x^{2} + a\right)} a^{2} - 5 \, a^{3}}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{4}}"," ",0,"16/35/(sqrt(a)*b^4) - 1/35*(35*(b*x^2 + a)^3 - 35*(b*x^2 + a)^2*a + 21*(b*x^2 + a)*a^2 - 5*a^3)/((b*x^2 + a)^(7/2)*b^4)","A",0
79,1,17,0,0.292778," ","integrate(x^(21/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{x^{7}}{7 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a}"," ",0,"1/7*x^7/((b*x^2 + a)^(7/2)*a)","A",0
80,1,50,0,0.200244," ","integrate(x^(19/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{8}{105 \, a^{\frac{3}{2}} b^{3}} - \frac{35 \, {\left(b x^{2} + a\right)}^{2} - 42 \, {\left(b x^{2} + a\right)} a + 15 \, a^{2}}{105 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{3}}"," ",0,"8/105/(a^(3/2)*b^3) - 1/105*(35*(b*x^2 + a)^2 - 42*(b*x^2 + a)*a + 15*a^2)/((b*x^2 + a)^(7/2)*b^3)","A",0
81,1,29,0,0.291041," ","integrate(x^(17/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{x^{5} {\left(\frac{2 \, b x^{2}}{a^{2}} + \frac{7}{a}\right)}}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}}"," ",0,"1/35*x^5*(2*b*x^2/a^2 + 7/a)/(b*x^2 + a)^(7/2)","A",0
82,1,33,0,0.302644," ","integrate(x^(15/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","-\frac{7 \, b x^{2} + 2 \, a}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b^{2}} + \frac{2}{35 \, a^{\frac{5}{2}} b^{2}}"," ",0,"-1/35*(7*b*x^2 + 2*a)/((b*x^2 + a)^(7/2)*b^2) + 2/35/(a^(5/2)*b^2)","A",0
83,1,43,0,0.284234," ","integrate(x^(13/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} {\left(\frac{2 \, b^{2} x^{2}}{a^{3}} + \frac{7 \, b}{a^{2}}\right)} + \frac{35}{a}\right)} x^{3}}{105 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}}"," ",0,"1/105*(4*x^2*(2*b^2*x^2/a^3 + 7*b/a^2) + 35/a)*x^3/(b*x^2 + a)^(7/2)","A",0
84,1,23,0,0.197375," ","integrate(x^(11/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","-\frac{1}{7 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} b} + \frac{1}{7 \, a^{\frac{7}{2}} b}"," ",0,"-1/7/((b*x^2 + a)^(7/2)*b) + 1/7/(a^(7/2)*b)","A",0
85,1,55,0,0.248457," ","integrate(x^(9/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{{\left(2 \, {\left(4 \, x^{2} {\left(\frac{2 \, b^{3} x^{2}}{a^{4}} + \frac{7 \, b^{2}}{a^{3}}\right)} + \frac{35 \, b}{a^{2}}\right)} x^{2} + \frac{35}{a}\right)} x}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}}"," ",0,"1/35*(2*(4*x^2*(2*b^3*x^2/a^4 + 7*b^2/a^3) + 35*b/a^2)*x^2 + 35/a)*x/(b*x^2 + a)^(7/2)","A",0
86,1,114,0,0.267275," ","integrate(x^(7/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{4}} - \frac{105 \, \sqrt{a} \arctan\left(\frac{\sqrt{a}}{\sqrt{-a}}\right) + 176 \, \sqrt{-a}}{105 \, \sqrt{-a} a^{\frac{9}{2}}} + \frac{105 \, {\left(b x^{2} + a\right)}^{3} + 35 \, {\left(b x^{2} + a\right)}^{2} a + 21 \, {\left(b x^{2} + a\right)} a^{2} + 15 \, a^{3}}{105 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{4}}"," ",0,"arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^4) - 1/105*(105*sqrt(a)*arctan(sqrt(a)/sqrt(-a)) + 176*sqrt(-a))/(sqrt(-a)*a^(9/2)) + 1/105*(105*(b*x^2 + a)^3 + 35*(b*x^2 + a)^2*a + 21*(b*x^2 + a)*a^2 + 15*a^3)/((b*x^2 + a)^(7/2)*a^4)","A",0
87,1,90,0,0.269167," ","integrate(x^(5/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","-\frac{{\left({\left(x^{2} {\left(\frac{93 \, b^{4} x^{2}}{a^{5}} + \frac{308 \, b^{3}}{a^{4}}\right)} + \frac{350 \, b^{2}}{a^{3}}\right)} x^{2} + \frac{140 \, b}{a^{2}}\right)} x}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}} + \frac{2 \, \sqrt{b}}{{\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)} a^{4}}"," ",0,"-1/35*((x^2*(93*b^4*x^2/a^5 + 308*b^3/a^4) + 350*b^2/a^3)*x^2 + 140*b/a^2)*x/(b*x^2 + a)^(7/2) + 2*sqrt(b)/(((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)*a^4)","A",0
88,1,104,0,0.250071," ","integrate(x^(3/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","-\frac{9 \, b \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{2 \, \sqrt{-a} a^{5}} - \frac{\sqrt{b x^{2} + a}}{2 \, a^{5} x^{2}} - \frac{140 \, {\left(b x^{2} + a\right)}^{3} b + 35 \, {\left(b x^{2} + a\right)}^{2} a b + 14 \, {\left(b x^{2} + a\right)} a^{2} b + 5 \, a^{3} b}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{5}}"," ",0,"-9/2*b*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^5) - 1/2*sqrt(b*x^2 + a)/(a^5*x^2) - 1/35*(140*(b*x^2 + a)^3*b + 35*(b*x^2 + a)^2*a*b + 14*(b*x^2 + a)*a^2*b + 5*a^3*b)/((b*x^2 + a)^(7/2)*a^5)","A",0
89,1,147,0,0.323618," ","integrate(x^(1/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{{\left({\left(x^{2} {\left(\frac{158 \, b^{5} x^{2}}{a^{6}} + \frac{511 \, b^{4}}{a^{5}}\right)} + \frac{560 \, b^{3}}{a^{4}}\right)} x^{2} + \frac{210 \, b^{2}}{a^{3}}\right)} x}{21 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}} - \frac{4 \, {\left(6 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} b^{\frac{3}{2}} - 15 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a b^{\frac{3}{2}} + 7 \, a^{2} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{3} a^{5}}"," ",0,"1/21*((x^2*(158*b^5*x^2/a^6 + 511*b^4/a^5) + 560*b^3/a^4)*x^2 + 210*b^2/a^3)*x/(b*x^2 + a)^(7/2) - 4/3*(6*(sqrt(b)*x - sqrt(b*x^2 + a))^4*b^(3/2) - 15*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a*b^(3/2) + 7*a^2*b^(3/2))/(((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^3*a^5)","A",0
90,1,138,0,0.266700," ","integrate(1/x^(1/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","\frac{99 \, b^{2} \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{8 \, \sqrt{-a} a^{6}} + \frac{350 \, {\left(b x^{2} + a\right)}^{3} b^{2} + 70 \, {\left(b x^{2} + a\right)}^{2} a b^{2} + 21 \, {\left(b x^{2} + a\right)} a^{2} b^{2} + 5 \, a^{3} b^{2}}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}} a^{6}} + \frac{19 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} b^{2} - 21 \, \sqrt{b x^{2} + a} a b^{2}}{8 \, a^{6} b^{2} x^{4}}"," ",0,"99/8*b^2*arctan(sqrt(b*x^2 + a)/sqrt(-a))/(sqrt(-a)*a^6) + 1/35*(350*(b*x^2 + a)^3*b^2 + 70*(b*x^2 + a)^2*a*b^2 + 21*(b*x^2 + a)*a^2*b^2 + 5*a^3*b^2)/((b*x^2 + a)^(7/2)*a^6) + 1/8*(19*(b*x^2 + a)^(3/2)*b^2 - 21*sqrt(b*x^2 + a)*a*b^2)/(a^6*b^2*x^4)","A",0
91,1,202,0,0.411840," ","integrate(1/x^(3/2)/(b*x^3+a*x)^(9/2),x, algorithm=""giac"")","-\frac{{\left({\left(2 \, x^{2} {\left(\frac{281 \, b^{6} x^{2}}{a^{7}} + \frac{896 \, b^{5}}{a^{6}}\right)} + \frac{1925 \, b^{4}}{a^{5}}\right)} x^{2} + \frac{700 \, b^{3}}{a^{4}}\right)} x}{35 \, {\left(b x^{2} + a\right)}^{\frac{7}{2}}} + \frac{4 \, {\left(25 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{8} b^{\frac{5}{2}} - 120 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{6} a b^{\frac{5}{2}} + 210 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{4} a^{2} b^{\frac{5}{2}} - 140 \, {\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} a^{3} b^{\frac{5}{2}} + 33 \, a^{4} b^{\frac{5}{2}}\right)}}{5 \, {\left({\left(\sqrt{b} x - \sqrt{b x^{2} + a}\right)}^{2} - a\right)}^{5} a^{6}}"," ",0,"-1/35*((2*x^2*(281*b^6*x^2/a^7 + 896*b^5/a^6) + 1925*b^4/a^5)*x^2 + 700*b^3/a^4)*x/(b*x^2 + a)^(7/2) + 4/5*(25*(sqrt(b)*x - sqrt(b*x^2 + a))^8*b^(5/2) - 120*(sqrt(b)*x - sqrt(b*x^2 + a))^6*a*b^(5/2) + 210*(sqrt(b)*x - sqrt(b*x^2 + a))^4*a^2*b^(5/2) - 140*(sqrt(b)*x - sqrt(b*x^2 + a))^2*a^3*b^(5/2) + 33*a^4*b^(5/2))/(((sqrt(b)*x - sqrt(b*x^2 + a))^2 - a)^5*a^6)","A",0
92,1,45,0,0.298362," ","integrate(x^4/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b x^{4} + a x} x}{3 \, b} + \frac{a \arctan\left(\frac{\sqrt{b + \frac{a}{x^{3}}}}{\sqrt{-b}}\right)}{3 \, \sqrt{-b} b}"," ",0,"1/3*sqrt(b*x^4 + a*x)*x/b + 1/3*a*arctan(sqrt(b + a/x^3)/sqrt(-b))/(sqrt(-b)*b)","A",0
93,1,23,0,0.209595," ","integrate(x/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\frac{\sqrt{b + \frac{a}{x^{3}}}}{\sqrt{-b}}\right)}{3 \, \sqrt{-b}}"," ",0,"-2/3*arctan(sqrt(b + a/x^3)/sqrt(-b))/sqrt(-b)","A",0
94,1,14,0,0.222178," ","integrate(1/x^2/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b + \frac{a}{x^{3}}}}{3 \, a}"," ",0,"-2/3*sqrt(b + a/x^3)/a","A",0
95,1,30,0,0.192297," ","integrate(1/x^5/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b + \frac{a}{x^{3}}\right)}^{\frac{3}{2}}}{9 \, a^{2}} + \frac{2 \, \sqrt{b + \frac{a}{x^{3}}} b}{3 \, a^{2}}"," ",0,"-2/9*(b + a/x^3)^(3/2)/a^2 + 2/3*sqrt(b + a/x^3)*b/a^2","A",0
96,1,47,0,0.199317," ","integrate(1/x^8/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b + \frac{a}{x^{3}}} b^{2}}{3 \, a^{3}} - \frac{2 \, {\left(3 \, {\left(b + \frac{a}{x^{3}}\right)}^{\frac{5}{2}} - 10 \, {\left(b + \frac{a}{x^{3}}\right)}^{\frac{3}{2}} b\right)}}{45 \, a^{3}}"," ",0,"-2/3*sqrt(b + a/x^3)*b^2/a^3 - 2/45*(3*(b + a/x^3)^(5/2) - 10*(b + a/x^3)^(3/2)*b)/a^3","A",0
97,0,0,0,0.000000," ","integrate(x^3/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{b x^{4} + a x}}\,{d x}"," ",0,"integrate(x^3/sqrt(b*x^4 + a*x), x)","F",0
98,0,0,0,0.000000," ","integrate(1/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{4} + a x}}\,{d x}"," ",0,"integrate(1/sqrt(b*x^4 + a*x), x)","F",0
99,0,0,0,0.000000," ","integrate(1/x^3/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{4} + a x} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^4 + a*x)*x^3), x)","F",0
100,0,0,0,0.000000," ","integrate(x^5/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{5}}{\sqrt{b x^{4} + a x}}\,{d x}"," ",0,"integrate(x^5/sqrt(b*x^4 + a*x), x)","F",0
101,0,0,0,0.000000," ","integrate(x^2/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{b x^{4} + a x}}\,{d x}"," ",0,"integrate(x^2/sqrt(b*x^4 + a*x), x)","F",0
102,0,0,0,0.000000," ","integrate(1/x/(b*x^4+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{4} + a x} x}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^4 + a*x)*x), x)","F",0
103,1,111,0,0.287596," ","integrate(x^2/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{1}{320} \, \sqrt{a x + b \sqrt{x}} {\left(2 \, {\left(4 \, {\left(2 \, \sqrt{x} {\left(\frac{8 \, \sqrt{x}}{a} - \frac{9 \, b}{a^{2}}\right)} + \frac{21 \, b^{2}}{a^{3}}\right)} \sqrt{x} - \frac{105 \, b^{3}}{a^{4}}\right)} \sqrt{x} + \frac{315 \, b^{4}}{a^{5}}\right)} + \frac{63 \, b^{5} \log\left({\left| -2 \, \sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} - b \right|}\right)}{128 \, a^{\frac{11}{2}}}"," ",0,"1/320*sqrt(a*x + b*sqrt(x))*(2*(4*(2*sqrt(x)*(8*sqrt(x)/a - 9*b/a^2) + 21*b^2/a^3)*sqrt(x) - 105*b^3/a^4)*sqrt(x) + 315*b^4/a^5) + 63/128*b^5*log(abs(-2*sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) - b))/a^(11/2)","A",0
104,1,83,0,0.312484," ","integrate(x/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{a x + b \sqrt{x}} {\left(2 \, \sqrt{x} {\left(\frac{4 \, \sqrt{x}}{a} - \frac{5 \, b}{a^{2}}\right)} + \frac{15 \, b^{2}}{a^{3}}\right)} + \frac{5 \, b^{3} \log\left({\left| -2 \, \sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} - b \right|}\right)}{8 \, a^{\frac{7}{2}}}"," ",0,"1/12*sqrt(a*x + b*sqrt(x))*(2*sqrt(x)*(4*sqrt(x)/a - 5*b/a^2) + 15*b^2/a^3) + 5/8*b^3*log(abs(-2*sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) - b))/a^(7/2)","A",0
105,1,54,0,0.284654," ","integrate(1/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{b \log\left({\left| -2 \, \sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} - b \right|}\right)}{a^{\frac{3}{2}}} + \frac{2 \, \sqrt{a x + b \sqrt{x}}}{a}"," ",0,"b*log(abs(-2*sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) - b))/a^(3/2) + 2*sqrt(a*x + b*sqrt(x))/a","A",0
106,1,25,0,0.176823," ","integrate(1/x/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{4}{\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}}"," ",0,"4/(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))","A",0
107,1,84,0,0.234251," ","integrate(1/x^2/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(20 \, a {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{2} + 15 \, \sqrt{a} b {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} + 3 \, b^{2}\right)}}{15 \, {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{5}}"," ",0,"4/15*(20*a*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^2 + 15*sqrt(a)*b*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) + 3*b^2)/(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^5","A",0
108,1,146,0,0.191344," ","integrate(1/x^3/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(1008 \, a^{2} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{4} + 1680 \, a^{\frac{3}{2}} b {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{3} + 1080 \, a b^{2} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{2} + 315 \, \sqrt{a} b^{3} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} + 35 \, b^{4}\right)}}{315 \, {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{9}}"," ",0,"4/315*(1008*a^2*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^4 + 1680*a^(3/2)*b*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^3 + 1080*a*b^2*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^2 + 315*sqrt(a)*b^3*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) + 35*b^4)/(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^9","A",0
109,1,208,0,0.198161," ","integrate(1/x^4/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(27456 \, a^{3} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{6} + 72072 \, a^{\frac{5}{2}} b {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{5} + 80080 \, a^{2} b^{2} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{4} + 48048 \, a^{\frac{3}{2}} b^{3} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{3} + 16380 \, a b^{4} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{2} + 3003 \, \sqrt{a} b^{5} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} + 231 \, b^{6}\right)}}{3003 \, {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{13}}"," ",0,"4/3003*(27456*a^3*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^6 + 72072*a^(5/2)*b*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^5 + 80080*a^2*b^2*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^4 + 48048*a^(3/2)*b^3*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^3 + 16380*a*b^4*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^2 + 3003*sqrt(a)*b^5*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) + 231*b^6)/(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^13","A",0
110,-2,0,0,0.000000," ","integrate(x^3/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueDone","F(-2)",0
111,-2,0,0,0.000000," ","integrate(x^2/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueDone","F(-2)",0
112,1,94,0,0.320960," ","integrate(x/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\frac{3 \, b \log\left({\left| -2 \, \sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} - b \right|}\right)}{a^{\frac{5}{2}}} + \frac{4 \, b^{2}}{{\left(a {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} + \sqrt{a} b\right)} a^{2}} + \frac{2 \, \sqrt{a x + b \sqrt{x}}}{a^{2}}"," ",0,"3*b*log(abs(-2*sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) - b))/a^(5/2) + 4*b^2/((a*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) + sqrt(a)*b)*a^2) + 2*sqrt(a*x + b*sqrt(x))/a^2","A",0
113,1,34,0,0.190425," ","integrate(1/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\frac{4}{{\left(\sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} + b\right)} \sqrt{a}}"," ",0,"4/((sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) + b)*sqrt(a))","A",0
114,0,0,0,0.000000," ","integrate(1/x/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a x + b \sqrt{x}\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((a*x + b*sqrt(x))^(3/2)*x), x)","F",0
115,0,0,0,0.000000," ","integrate(1/x^2/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a x + b \sqrt{x}\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((a*x + b*sqrt(x))^(3/2)*x^2), x)","F",0
116,0,0,0,0.000000," ","integrate(1/x^3/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a x + b \sqrt{x}\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((a*x + b*sqrt(x))^(3/2)*x^3), x)","F",0
117,1,125,0,0.282752," ","integrate(x^(5/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{1}{3840} \, \sqrt{a x + b \sqrt{x}} {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, \sqrt{x} {\left(\frac{10 \, \sqrt{x}}{a} - \frac{11 \, b}{a^{2}}\right)} + \frac{99 \, b^{2}}{a^{3}}\right)} \sqrt{x} - \frac{231 \, b^{3}}{a^{4}}\right)} \sqrt{x} + \frac{1155 \, b^{4}}{a^{5}}\right)} \sqrt{x} - \frac{3465 \, b^{5}}{a^{6}}\right)} - \frac{231 \, b^{6} \log\left({\left| -2 \, \sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} - b \right|}\right)}{512 \, a^{\frac{13}{2}}}"," ",0,"1/3840*sqrt(a*x + b*sqrt(x))*(2*(4*(2*(8*sqrt(x)*(10*sqrt(x)/a - 11*b/a^2) + 99*b^2/a^3)*sqrt(x) - 231*b^3/a^4)*sqrt(x) + 1155*b^4/a^5)*sqrt(x) - 3465*b^5/a^6) - 231/512*b^6*log(abs(-2*sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) - b))/a^(13/2)","A",0
118,1,97,0,0.406037," ","integrate(x^(3/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{1}{96} \, \sqrt{a x + b \sqrt{x}} {\left(2 \, {\left(4 \, \sqrt{x} {\left(\frac{6 \, \sqrt{x}}{a} - \frac{7 \, b}{a^{2}}\right)} + \frac{35 \, b^{2}}{a^{3}}\right)} \sqrt{x} - \frac{105 \, b^{3}}{a^{4}}\right)} - \frac{35 \, b^{4} \log\left({\left| -2 \, \sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} - b \right|}\right)}{64 \, a^{\frac{9}{2}}}"," ",0,"1/96*sqrt(a*x + b*sqrt(x))*(2*(4*sqrt(x)*(6*sqrt(x)/a - 7*b/a^2) + 35*b^2/a^3)*sqrt(x) - 105*b^3/a^4) - 35/64*b^4*log(abs(-2*sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) - b))/a^(9/2)","A",0
119,1,69,0,0.269451," ","integrate(x^(1/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{a x + b \sqrt{x}} {\left(\frac{2 \, \sqrt{x}}{a} - \frac{3 \, b}{a^{2}}\right)} - \frac{3 \, b^{2} \log\left({\left| -2 \, \sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} - b \right|}\right)}{4 \, a^{\frac{5}{2}}}"," ",0,"1/2*sqrt(a*x + b*sqrt(x))*(2*sqrt(x)/a - 3*b/a^2) - 3/4*b^2*log(abs(-2*sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) - b))/a^(5/2)","A",0
120,1,37,0,0.262696," ","integrate(1/x^(1/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left({\left| -2 \, \sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} - b \right|}\right)}{\sqrt{a}}"," ",0,"-2*log(abs(-2*sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) - b))/sqrt(a)","A",0
121,1,53,0,0.189018," ","integrate(1/x^(3/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, \sqrt{a} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} + b\right)}}{3 \, {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{3}}"," ",0,"4/3*(3*sqrt(a)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) + b)/(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^3","A",0
122,1,115,0,0.210672," ","integrate(1/x^(5/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(70 \, a^{\frac{3}{2}} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{3} + 84 \, a b {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{2} + 35 \, \sqrt{a} b^{2} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} + 5 \, b^{3}\right)}}{35 \, {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{7}}"," ",0,"4/35*(70*a^(3/2)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^3 + 84*a*b*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^2 + 35*sqrt(a)*b^2*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) + 5*b^3)/(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^7","A",0
123,1,177,0,0.236266," ","integrate(1/x^(7/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(3696 \, a^{\frac{5}{2}} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{5} + 7920 \, a^{2} b {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{4} + 6930 \, a^{\frac{3}{2}} b^{2} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{3} + 3080 \, a b^{3} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{2} + 693 \, \sqrt{a} b^{4} {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)} + 63 \, b^{5}\right)}}{693 \, {\left(\sqrt{a} \sqrt{x} - \sqrt{a x + b \sqrt{x}}\right)}^{11}}"," ",0,"4/693*(3696*a^(5/2)*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^5 + 7920*a^2*b*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^4 + 6930*a^(3/2)*b^2*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^3 + 3080*a*b^3*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^2 + 693*sqrt(a)*b^4*(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x))) + 63*b^5)/(sqrt(a)*sqrt(x) - sqrt(a*x + b*sqrt(x)))^11","A",0
124,-2,0,0,0.000000," ","integrate(x^(5/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueDone","F(-2)",0
125,-2,0,0,0.000000," ","integrate(x^(3/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueDone","F(-2)",0
126,-2,0,0,0.000000," ","integrate(x^(1/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%%{1,[1]%%%},[2,2]%%%}+%%%{%%{[-2,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,3]%%%}+%%%{1,[0,4]%%%} / %%%{%%%{1,[2]%%%},[2,0]%%%}+%%%{%%{[%%%{-2,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1]%%%}+%%%{%%%{1,[1]%%%},[0,2]%%%} Error: Bad Argument Value","F(-2)",0
127,1,26,0,0.182847," ","integrate(1/x^(1/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","-\frac{4 \, {\left(\frac{2 \, a \sqrt{x}}{b^{2}} + \frac{1}{b}\right)}}{\sqrt{a x + b \sqrt{x}}}"," ",0,"-4*(2*a*sqrt(x)/b^2 + 1/b)/sqrt(a*x + b*sqrt(x))","A",0
128,0,0,0,0.000000," ","integrate(1/x^(3/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a x + b \sqrt{x}\right)}^{\frac{3}{2}} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((a*x + b*sqrt(x))^(3/2)*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, algorithm=""giac"")","\int \frac{1}{{\left(a x + b \sqrt{x}\right)}^{\frac{3}{2}} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((a*x + b*sqrt(x))^(3/2)*x^(5/2)), x)","F",0
130,0,0,0,0.000000," ","integrate(1/x^(7/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a x + b \sqrt{x}\right)}^{\frac{3}{2}} x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((a*x + b*sqrt(x))^(3/2)*x^(7/2)), x)","F",0
131,0,0,0,0.000000," ","integrate(x^3*(b*x^(1/3)+a*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{a x + b x^{\frac{1}{3}}} x^{3}\,{d x}"," ",0,"integrate(sqrt(a*x + b*x^(1/3))*x^3, x)","F",0
132,0,0,0,0.000000," ","integrate(x^2*(b*x^(1/3)+a*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{a x + b x^{\frac{1}{3}}} x^{2}\,{d x}"," ",0,"integrate(sqrt(a*x + b*x^(1/3))*x^2, x)","F",0
133,0,0,0,0.000000," ","integrate(x*(b*x^(1/3)+a*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{a x + b x^{\frac{1}{3}}} x\,{d x}"," ",0,"integrate(sqrt(a*x + b*x^(1/3))*x, x)","F",0
134,0,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{a x + b x^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{\sqrt{a x + b x^{\frac{1}{3}}}}{x}\,{d x}"," ",0,"integrate(sqrt(a*x + b*x^(1/3))/x, x)","F",0
136,-2,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(1/2)/x^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 3.28-6/5/x^(1/3)*sqrt(a/x^(1/3)+b/x)+integrate(24*a/20/3/(x^(1/3)*x^(1/3)*sqrt(x)*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
137,-2,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(1/2)/x^3,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 3.256*((-420*b^3/4620/b^3/x^(1/3)/x^(1/3)-120*b^2*a/4620/b^3)/x^(1/3)/x^(1/3)+200*b*a^2/4620/b^3)*sqrt(a/x^(1/3)+b/x)+integrate(600*b*a^3/4620/b^3/3/((x^(1/6))^5*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
138,-2,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(1/2)/x^4,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 3.256*(((-540540*b^6/9189180/b^6/x^(1/3)/x^(1/3)-83160*b^5*a/9189180/b^6)/x^(1/3)/x^(1/3)+101640*b^4*a^2/9189180/b^6)/x^(1/3)/x^(1/3)-142296*b^3*a^3/9189180/b^6)/x^(1/3)*sqrt(a/x^(1/3)+b/x)+integrate(-1280664*b^3*a^4/9189180/b^6/3/(x^(1/3)*x^(1/3)*sqrt(x)*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
139,-2,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(1/2)/x^5,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 3.26*(((((-2618916300*b^9/60235074900/b^9/x^(1/3)/x^(1/3)-275675400*b^8*a/60235074900/b^9)/x^(1/3)/x^(1/3)+312432120*b^7*a^2/60235074900/b^9)/x^(1/3)/x^(1/3)-369237960*b^6*a^3/60235074900/b^9)/x^(1/3)/x^(1/3)+474734520*b^5*a^4/60235074900/b^9)/x^(1/3)/x^(1/3)-791224200*b^4*a^5/60235074900/b^9)*sqrt(a/x^(1/3)+b/x)+integrate(-2373672600*b^4*a^6/60235074900/b^9/3/((x^(1/6))^5*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
140,0,0,0,0.000000," ","integrate(x^2*(b*x^(1/3)+a*x)^(3/2),x, algorithm=""giac"")","\int {\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((a*x + b*x^(1/3))^(3/2)*x^2, x)","F",0
141,0,0,0,0.000000," ","integrate(x*(b*x^(1/3)+a*x)^(3/2),x, algorithm=""giac"")","\int {\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((a*x + b*x^(1/3))^(3/2)*x, x)","F",0
142,0,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(3/2),x, algorithm=""giac"")","\int {\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((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, algorithm=""giac"")","\int \frac{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate((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, algorithm=""giac"")","\int \frac{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((a*x + b*x^(1/3))^(3/2)/x^2, x)","F",0
145,-2,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(3/2)/x^3,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 8.232*(-60*b^3/180/b^2/x^(1/3)/x^(1/3)-132*b^2*a/180/b^2)/x^(1/3)*sqrt(a/x^(1/3)+b/x)+integrate(144*b^2*a^2/180/b^2/3/(x^(1/3)*x^(1/3)*sqrt(x)*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
146,-2,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(3/2)/x^4,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 0.572*(((-41580*b^6/207900/b^5/x^(1/3)/x^(1/3)-64260*b^5*a/207900/b^5)/x^(1/3)/x^(1/3)-6480*b^4*a^2/207900/b^5)/x^(1/3)/x^(1/3)+10800*b^3*a^3/207900/b^5)*sqrt(a/x^(1/3)+b/x)+integrate(10800*b^3*a^4/207900/b^5/3/((x^(1/6))^5*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
147,-2,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(3/2)/x^5,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 3.252*((((-137837700*b^9/964863900/b^8/x^(1/3)/x^(1/3)-186486300*b^8*a/964863900/b^8)/x^(1/3)/x^(1/3)-7484400*b^7*a^2/964863900/b^8)/x^(1/3)/x^(1/3)+9147600*b^6*a^3/964863900/b^8)/x^(1/3)/x^(1/3)-12806640*b^5*a^4/964863900/b^8)/x^(1/3)*sqrt(a/x^(1/3)+b/x)+integrate(-38419920*b^5*a^5/964863900/b^8/3/(x^(1/3)*x^(1/3)*sqrt(x)*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
148,-2,0,0,0.000000," ","integrate((b*x^(1/3)+a*x)^(3/2)/x^6,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 3.242*((((((-1264936572900*b^12/11384429156100/b^11/x^(1/3)/x^(1/3)-1594920026700*b^11*a/11384429156100/b^11)/x^(1/3)/x^(1/3)-34735100400*b^10*a^2/11384429156100/b^11)/x^(1/3)/x^(1/3)+39366447120*b^9*a^3/11384429156100/b^11)/x^(1/3)/x^(1/3)-46523982960*b^8*a^4/11384429156100/b^11)/x^(1/3)/x^(1/3)+59816549520*b^7*a^5/11384429156100/b^11)/x^(1/3)/x^(1/3)-99694249200*b^6*a^6/11384429156100/b^11)*sqrt(a/x^(1/3)+b/x)+integrate(-99694249200*b^6*a^7/11384429156100/b^11/3/((x^(1/6))^5*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
149,0,0,0,0.000000," ","integrate(x^4/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\sqrt{a x + b x^{\frac{1}{3}}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{a x + b x^{\frac{1}{3}}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{a x + b x^{\frac{1}{3}}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{x}{\sqrt{a x + b x^{\frac{1}{3}}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{1}{\sqrt{a x + b x^{\frac{1}{3}}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{1}{\sqrt{a x + b x^{\frac{1}{3}}} x}\,{d x}"," ",0,"integrate(1/(sqrt(a*x + b*x^(1/3))*x), x)","F",0
155,-2,0,0,0.000000," ","integrate(1/x^2/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 3.266*(-12*b/84/b^2/x^(1/3)/x^(1/3)+20*a/84/b^2)*sqrt(a/x^(1/3)+b/x)+integrate(60*a^2/84/b^2/3/((x^(1/6))^5*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
156,-2,0,0,0.000000," ","integrate(1/x^3/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 1.416*((-3780*b^4/49140/b^5/x^(1/3)/x^(1/3)+4620*b^3*a/49140/b^5)/x^(1/3)/x^(1/3)-6468*b^2*a^2/49140/b^5)/x^(1/3)*sqrt(a/x^(1/3)+b/x)+integrate(-58212*b^2*a^3/49140/b^5/3/(x^(1/3)*x^(1/3)*sqrt(x)*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
157,-2,0,0,0.000000," ","integrate(1/x^4/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueEvaluation time: 8.266*((((-8108100*b^7/154053900/b^8/x^(1/3)/x^(1/3)+9189180*b^6*a/154053900/b^8)/x^(1/3)/x^(1/3)-10859940*b^5*a^2/154053900/b^8)/x^(1/3)/x^(1/3)+13962780*b^4*a^3/154053900/b^8)/x^(1/3)/x^(1/3)-23271300*b^3*a^4/154053900/b^8)*sqrt(a/x^(1/3)+b/x)+integrate(-69813900*b^3*a^5/154053900/b^8/3/((x^(1/6))^5*sqrt(a*(x^(1/3))^2+b)*sign(x)),x)","F(-2)",0
158,0,0,0,0.000000," ","integrate(x^4/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{4}}{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{x^{3}}{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{x^{2}}{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{x}{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{1}{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((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, algorithm=""giac"")","\int \frac{1}{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((a*x + b*x^(1/3))^(3/2)*x), x)","F",0
164,0,0,0,0.000000," ","integrate(1/x^2/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((a*x + b*x^(1/3))^(3/2)*x^2), x)","F",0
165,0,0,0,0.000000," ","integrate(1/x^3/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((a*x + b*x^(1/3))^(3/2)*x^3), x)","F",0
166,0,0,0,0.000000," ","integrate(1/x^4/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((a*x + b*x^(1/3))^(3/2)*x^4), x)","F",0
167,1,396,0,0.222627," ","integrate(x^3*(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","-\frac{8388608 \, b^{\frac{27}{2}}}{152108775 \, a^{13}} + \frac{2 \, {\left(\frac{27 \, {\left(676039 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{25}{2}} - 8817900 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{23}{2}} b + 53117350 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} b^{2} - 195695500 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b^{3} + 492116625 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{4} - 892371480 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{5} + 1201269300 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{6} - 1216870200 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{7} + 929553625 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{8} - 531173500 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{9} + 223092870 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{10} - 67603900 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{11} + 16900975 \, \sqrt{a x^{\frac{1}{3}} + b} b^{12}\right)} b}{a^{12}} + \frac{13 \, {\left(1300075 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{27}{2}} - 18253053 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{25}{2}} b + 119041650 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{23}{2}} b^{2} - 478056150 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} b^{3} + 1320944625 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b^{4} - 2657429775 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{5} + 4015671660 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{6} - 4633467300 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{7} + 4106936925 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{8} - 2788660875 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{9} + 1434168450 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{10} - 547591590 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{11} + 152108775 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{12} - 35102025 \, \sqrt{a x^{\frac{1}{3}} + b} b^{13}\right)}}{a^{12}}\right)}}{152108775 \, a}"," ",0,"-8388608/152108775*b^(27/2)/a^13 + 2/152108775*(27*(676039*(a*x^(1/3) + b)^(25/2) - 8817900*(a*x^(1/3) + b)^(23/2)*b + 53117350*(a*x^(1/3) + b)^(21/2)*b^2 - 195695500*(a*x^(1/3) + b)^(19/2)*b^3 + 492116625*(a*x^(1/3) + b)^(17/2)*b^4 - 892371480*(a*x^(1/3) + b)^(15/2)*b^5 + 1201269300*(a*x^(1/3) + b)^(13/2)*b^6 - 1216870200*(a*x^(1/3) + b)^(11/2)*b^7 + 929553625*(a*x^(1/3) + b)^(9/2)*b^8 - 531173500*(a*x^(1/3) + b)^(7/2)*b^9 + 223092870*(a*x^(1/3) + b)^(5/2)*b^10 - 67603900*(a*x^(1/3) + b)^(3/2)*b^11 + 16900975*sqrt(a*x^(1/3) + b)*b^12)*b/a^12 + 13*(1300075*(a*x^(1/3) + b)^(27/2) - 18253053*(a*x^(1/3) + b)^(25/2)*b + 119041650*(a*x^(1/3) + b)^(23/2)*b^2 - 478056150*(a*x^(1/3) + b)^(21/2)*b^3 + 1320944625*(a*x^(1/3) + b)^(19/2)*b^4 - 2657429775*(a*x^(1/3) + b)^(17/2)*b^5 + 4015671660*(a*x^(1/3) + b)^(15/2)*b^6 - 4633467300*(a*x^(1/3) + b)^(13/2)*b^7 + 4106936925*(a*x^(1/3) + b)^(11/2)*b^8 - 2788660875*(a*x^(1/3) + b)^(9/2)*b^9 + 1434168450*(a*x^(1/3) + b)^(7/2)*b^10 - 547591590*(a*x^(1/3) + b)^(5/2)*b^11 + 152108775*(a*x^(1/3) + b)^(3/2)*b^12 - 35102025*sqrt(a*x^(1/3) + b)*b^13)/a^12)/a","A",0
168,1,312,0,0.215688," ","integrate(x^2*(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","\frac{131072 \, b^{\frac{21}{2}}}{1616615 \, a^{10}} + \frac{2 \, {\left(\frac{21 \, {\left(12155 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} - 122265 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b + 554268 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{2} - 1492260 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{3} + 2645370 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{4} - 3233230 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{5} + 2771340 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{6} - 1662804 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{7} + 692835 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{8} - 230945 \, \sqrt{a x^{\frac{1}{3}} + b} b^{9}\right)} b}{a^{9}} + \frac{5 \, {\left(46189 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} - 510510 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b + 2567565 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{2} - 7759752 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{3} + 15668730 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{4} - 22221108 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{5} + 22632610 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{6} - 16628040 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{7} + 8729721 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{8} - 3233230 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{9} + 969969 \, \sqrt{a x^{\frac{1}{3}} + b} b^{10}\right)}}{a^{9}}\right)}}{1616615 \, a}"," ",0,"131072/1616615*b^(21/2)/a^10 + 2/1616615*(21*(12155*(a*x^(1/3) + b)^(19/2) - 122265*(a*x^(1/3) + b)^(17/2)*b + 554268*(a*x^(1/3) + b)^(15/2)*b^2 - 1492260*(a*x^(1/3) + b)^(13/2)*b^3 + 2645370*(a*x^(1/3) + b)^(11/2)*b^4 - 3233230*(a*x^(1/3) + b)^(9/2)*b^5 + 2771340*(a*x^(1/3) + b)^(7/2)*b^6 - 1662804*(a*x^(1/3) + b)^(5/2)*b^7 + 692835*(a*x^(1/3) + b)^(3/2)*b^8 - 230945*sqrt(a*x^(1/3) + b)*b^9)*b/a^9 + 5*(46189*(a*x^(1/3) + b)^(21/2) - 510510*(a*x^(1/3) + b)^(19/2)*b + 2567565*(a*x^(1/3) + b)^(17/2)*b^2 - 7759752*(a*x^(1/3) + b)^(15/2)*b^3 + 15668730*(a*x^(1/3) + b)^(13/2)*b^4 - 22221108*(a*x^(1/3) + b)^(11/2)*b^5 + 22632610*(a*x^(1/3) + b)^(9/2)*b^6 - 16628040*(a*x^(1/3) + b)^(7/2)*b^7 + 8729721*(a*x^(1/3) + b)^(5/2)*b^8 - 3233230*(a*x^(1/3) + b)^(3/2)*b^9 + 969969*sqrt(a*x^(1/3) + b)*b^10)/a^9)/a","A",0
169,1,228,0,0.194243," ","integrate(x*(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","-\frac{2048 \, b^{\frac{15}{2}}}{15015 \, a^{7}} + \frac{2 \, {\left(\frac{15 \, {\left(231 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} - 1638 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b + 5005 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{2} - 8580 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{3} + 9009 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{4} - 6006 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{5} + 3003 \, \sqrt{a x^{\frac{1}{3}} + b} b^{6}\right)} b}{a^{6}} + \frac{7 \, {\left(429 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} - 3465 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b + 12285 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{2} - 25025 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{3} + 32175 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{4} - 27027 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{5} + 15015 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{6} - 6435 \, \sqrt{a x^{\frac{1}{3}} + b} b^{7}\right)}}{a^{6}}\right)}}{15015 \, a}"," ",0,"-2048/15015*b^(15/2)/a^7 + 2/15015*(15*(231*(a*x^(1/3) + b)^(13/2) - 1638*(a*x^(1/3) + b)^(11/2)*b + 5005*(a*x^(1/3) + b)^(9/2)*b^2 - 8580*(a*x^(1/3) + b)^(7/2)*b^3 + 9009*(a*x^(1/3) + b)^(5/2)*b^4 - 6006*(a*x^(1/3) + b)^(3/2)*b^5 + 3003*sqrt(a*x^(1/3) + b)*b^6)*b/a^6 + 7*(429*(a*x^(1/3) + b)^(15/2) - 3465*(a*x^(1/3) + b)^(13/2)*b + 12285*(a*x^(1/3) + b)^(11/2)*b^2 - 25025*(a*x^(1/3) + b)^(9/2)*b^3 + 32175*(a*x^(1/3) + b)^(7/2)*b^4 - 27027*(a*x^(1/3) + b)^(5/2)*b^5 + 15015*(a*x^(1/3) + b)^(3/2)*b^6 - 6435*sqrt(a*x^(1/3) + b)*b^7)/a^6)/a","A",0
170,1,143,0,0.183802," ","integrate((b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","\frac{32 \, b^{\frac{9}{2}}}{105 \, a^{4}} + \frac{2 \, {\left(\frac{9 \, {\left(5 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} - 21 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b + 35 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{2} - 35 \, \sqrt{a x^{\frac{1}{3}} + b} b^{3}\right)} b}{a^{3}} + \frac{35 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} - 180 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b + 378 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{2} - 420 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{3} + 315 \, \sqrt{a x^{\frac{1}{3}} + b} b^{4}}{a^{3}}\right)}}{105 \, a}"," ",0,"32/105*b^(9/2)/a^4 + 2/105*(9*(5*(a*x^(1/3) + b)^(7/2) - 21*(a*x^(1/3) + b)^(5/2)*b + 35*(a*x^(1/3) + b)^(3/2)*b^2 - 35*sqrt(a*x^(1/3) + b)*b^3)*b/a^3 + (35*(a*x^(1/3) + b)^(9/2) - 180*(a*x^(1/3) + b)^(7/2)*b + 378*(a*x^(1/3) + b)^(5/2)*b^2 - 420*(a*x^(1/3) + b)^(3/2)*b^3 + 315*sqrt(a*x^(1/3) + b)*b^4)/a^3)/a","A",0
171,1,23,0,0.208158," ","integrate((b*x^(2/3)+a*x)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}}}{a} - \frac{2 \, b^{\frac{3}{2}}}{a}"," ",0,"2*(a*x^(1/3) + b)^(3/2)/a - 2*b^(3/2)/a","A",0
172,1,72,0,0.280193," ","integrate((b*x^(2/3)+a*x)^(1/2)/x^2,x, algorithm=""giac"")","-\frac{3 \, {\left(\frac{a^{3} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b} + \frac{{\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{3} + \sqrt{a x^{\frac{1}{3}} + b} a^{3} b}{a^{2} b x^{\frac{2}{3}}}\right)}}{4 \, a}"," ",0,"-3/4*(a^3*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b) + ((a*x^(1/3) + b)^(3/2)*a^3 + sqrt(a*x^(1/3) + b)*a^3*b)/(a^2*b*x^(2/3)))/a","A",0
173,1,126,0,0.278164," ","integrate((b*x^(2/3)+a*x)^(1/2)/x^3,x, algorithm=""giac"")","\frac{\frac{105 \, a^{6} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{4}} + \frac{105 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{6} - 490 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{6} b + 896 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{6} b^{2} - 790 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{6} b^{3} - 105 \, \sqrt{a x^{\frac{1}{3}} + b} a^{6} b^{4}}{a^{5} b^{4} x^{\frac{5}{3}}}}{640 \, a}"," ",0,"1/640*(105*a^6*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^4) + (105*(a*x^(1/3) + b)^(9/2)*a^6 - 490*(a*x^(1/3) + b)^(7/2)*a^6*b + 896*(a*x^(1/3) + b)^(5/2)*a^6*b^2 - 790*(a*x^(1/3) + b)^(3/2)*a^6*b^3 - 105*sqrt(a*x^(1/3) + b)*a^6*b^4)/(a^5*b^4*x^(5/3)))/a","A",0
174,1,177,0,0.351708," ","integrate((b*x^(2/3)+a*x)^(1/2)/x^4,x, algorithm=""giac"")","-\frac{\frac{45045 \, a^{9} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{7}} + \frac{45045 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} a^{9} - 345345 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{9} b + 1150149 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{9} b^{2} - 2167737 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{9} b^{3} + 2518087 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{9} b^{4} - 1831739 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{9} b^{5} + 801535 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{9} b^{6} + 45045 \, \sqrt{a x^{\frac{1}{3}} + b} a^{9} b^{7}}{a^{8} b^{7} x^{\frac{8}{3}}}}{573440 \, a}"," ",0,"-1/573440*(45045*a^9*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^7) + (45045*(a*x^(1/3) + b)^(15/2)*a^9 - 345345*(a*x^(1/3) + b)^(13/2)*a^9*b + 1150149*(a*x^(1/3) + b)^(11/2)*a^9*b^2 - 2167737*(a*x^(1/3) + b)^(9/2)*a^9*b^3 + 2518087*(a*x^(1/3) + b)^(7/2)*a^9*b^4 - 1831739*(a*x^(1/3) + b)^(5/2)*a^9*b^5 + 801535*(a*x^(1/3) + b)^(3/2)*a^9*b^6 + 45045*sqrt(a*x^(1/3) + b)*a^9*b^7)/(a^8*b^7*x^(8/3)))/a","A",0
175,1,228,0,0.431946," ","integrate((b*x^(2/3)+a*x)^(1/2)/x^5,x, algorithm=""giac"")","\frac{\frac{14549535 \, a^{12} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{10}} + \frac{14549535 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} a^{12} - 155195040 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} a^{12} b + 749786037 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} a^{12} b^{2} - 2163862272 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} a^{12} b^{3} + 4139920070 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{12} b^{4} - 5503713280 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{12} b^{5} + 5174056250 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{12} b^{6} - 3424523520 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{12} b^{7} + 1551313995 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{12} b^{8} - 450357600 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{12} b^{9} - 14549535 \, \sqrt{a x^{\frac{1}{3}} + b} a^{12} b^{10}}{a^{11} b^{10} x^{\frac{11}{3}}}}{302776320 \, a}"," ",0,"1/302776320*(14549535*a^12*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^10) + (14549535*(a*x^(1/3) + b)^(21/2)*a^12 - 155195040*(a*x^(1/3) + b)^(19/2)*a^12*b + 749786037*(a*x^(1/3) + b)^(17/2)*a^12*b^2 - 2163862272*(a*x^(1/3) + b)^(15/2)*a^12*b^3 + 4139920070*(a*x^(1/3) + b)^(13/2)*a^12*b^4 - 5503713280*(a*x^(1/3) + b)^(11/2)*a^12*b^5 + 5174056250*(a*x^(1/3) + b)^(9/2)*a^12*b^6 - 3424523520*(a*x^(1/3) + b)^(7/2)*a^12*b^7 + 1551313995*(a*x^(1/3) + b)^(5/2)*a^12*b^8 - 450357600*(a*x^(1/3) + b)^(3/2)*a^12*b^9 - 14549535*sqrt(a*x^(1/3) + b)*a^12*b^10)/(a^11*b^10*x^(11/3)))/a","A",0
176,1,770,0,0.308040," ","integrate(x^2*(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","\frac{2}{16900975} \, b {\left(\frac{524288 \, b^{\frac{25}{2}}}{a^{12}} + \frac{\frac{25 \, {\left(88179 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{23}{2}} - 1062347 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} b + 5870865 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b^{2} - 19684665 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{3} + 44618574 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{4} - 72076158 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{5} + 85180914 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{6} - 74364290 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{7} + 47805615 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{8} - 22309287 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{9} + 7436429 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{10} - 2028117 \, \sqrt{a x^{\frac{1}{3}} + b} b^{11}\right)} b}{a^{11}} + \frac{3 \, {\left(676039 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{25}{2}} - 8817900 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{23}{2}} b + 53117350 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} b^{2} - 195695500 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b^{3} + 492116625 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{4} - 892371480 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{5} + 1201269300 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{6} - 1216870200 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{7} + 929553625 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{8} - 531173500 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{9} + 223092870 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{10} - 67603900 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{11} + 16900975 \, \sqrt{a x^{\frac{1}{3}} + b} b^{12}\right)}}{a^{11}}}{a}\right)} - \frac{2}{152108775} \, a {\left(\frac{4194304 \, b^{\frac{27}{2}}}{a^{13}} - \frac{\frac{27 \, {\left(676039 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{25}{2}} - 8817900 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{23}{2}} b + 53117350 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} b^{2} - 195695500 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b^{3} + 492116625 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{4} - 892371480 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{5} + 1201269300 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{6} - 1216870200 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{7} + 929553625 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{8} - 531173500 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{9} + 223092870 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{10} - 67603900 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{11} + 16900975 \, \sqrt{a x^{\frac{1}{3}} + b} b^{12}\right)} b}{a^{12}} + \frac{13 \, {\left(1300075 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{27}{2}} - 18253053 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{25}{2}} b + 119041650 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{23}{2}} b^{2} - 478056150 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} b^{3} + 1320944625 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b^{4} - 2657429775 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{5} + 4015671660 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{6} - 4633467300 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{7} + 4106936925 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{8} - 2788660875 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{9} + 1434168450 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{10} - 547591590 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{11} + 152108775 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{12} - 35102025 \, \sqrt{a x^{\frac{1}{3}} + b} b^{13}\right)}}{a^{12}}}{a}\right)}"," ",0,"2/16900975*b*(524288*b^(25/2)/a^12 + (25*(88179*(a*x^(1/3) + b)^(23/2) - 1062347*(a*x^(1/3) + b)^(21/2)*b + 5870865*(a*x^(1/3) + b)^(19/2)*b^2 - 19684665*(a*x^(1/3) + b)^(17/2)*b^3 + 44618574*(a*x^(1/3) + b)^(15/2)*b^4 - 72076158*(a*x^(1/3) + b)^(13/2)*b^5 + 85180914*(a*x^(1/3) + b)^(11/2)*b^6 - 74364290*(a*x^(1/3) + b)^(9/2)*b^7 + 47805615*(a*x^(1/3) + b)^(7/2)*b^8 - 22309287*(a*x^(1/3) + b)^(5/2)*b^9 + 7436429*(a*x^(1/3) + b)^(3/2)*b^10 - 2028117*sqrt(a*x^(1/3) + b)*b^11)*b/a^11 + 3*(676039*(a*x^(1/3) + b)^(25/2) - 8817900*(a*x^(1/3) + b)^(23/2)*b + 53117350*(a*x^(1/3) + b)^(21/2)*b^2 - 195695500*(a*x^(1/3) + b)^(19/2)*b^3 + 492116625*(a*x^(1/3) + b)^(17/2)*b^4 - 892371480*(a*x^(1/3) + b)^(15/2)*b^5 + 1201269300*(a*x^(1/3) + b)^(13/2)*b^6 - 1216870200*(a*x^(1/3) + b)^(11/2)*b^7 + 929553625*(a*x^(1/3) + b)^(9/2)*b^8 - 531173500*(a*x^(1/3) + b)^(7/2)*b^9 + 223092870*(a*x^(1/3) + b)^(5/2)*b^10 - 67603900*(a*x^(1/3) + b)^(3/2)*b^11 + 16900975*sqrt(a*x^(1/3) + b)*b^12)/a^11)/a) - 2/152108775*a*(4194304*b^(27/2)/a^13 - (27*(676039*(a*x^(1/3) + b)^(25/2) - 8817900*(a*x^(1/3) + b)^(23/2)*b + 53117350*(a*x^(1/3) + b)^(21/2)*b^2 - 195695500*(a*x^(1/3) + b)^(19/2)*b^3 + 492116625*(a*x^(1/3) + b)^(17/2)*b^4 - 892371480*(a*x^(1/3) + b)^(15/2)*b^5 + 1201269300*(a*x^(1/3) + b)^(13/2)*b^6 - 1216870200*(a*x^(1/3) + b)^(11/2)*b^7 + 929553625*(a*x^(1/3) + b)^(9/2)*b^8 - 531173500*(a*x^(1/3) + b)^(7/2)*b^9 + 223092870*(a*x^(1/3) + b)^(5/2)*b^10 - 67603900*(a*x^(1/3) + b)^(3/2)*b^11 + 16900975*sqrt(a*x^(1/3) + b)*b^12)*b/a^12 + 13*(1300075*(a*x^(1/3) + b)^(27/2) - 18253053*(a*x^(1/3) + b)^(25/2)*b + 119041650*(a*x^(1/3) + b)^(23/2)*b^2 - 478056150*(a*x^(1/3) + b)^(21/2)*b^3 + 1320944625*(a*x^(1/3) + b)^(19/2)*b^4 - 2657429775*(a*x^(1/3) + b)^(17/2)*b^5 + 4015671660*(a*x^(1/3) + b)^(15/2)*b^6 - 4633467300*(a*x^(1/3) + b)^(13/2)*b^7 + 4106936925*(a*x^(1/3) + b)^(11/2)*b^8 - 2788660875*(a*x^(1/3) + b)^(9/2)*b^9 + 1434168450*(a*x^(1/3) + b)^(7/2)*b^10 - 547591590*(a*x^(1/3) + b)^(5/2)*b^11 + 152108775*(a*x^(1/3) + b)^(3/2)*b^12 - 35102025*sqrt(a*x^(1/3) + b)*b^13)/a^12)/a)","B",0
177,1,602,0,0.302926," ","integrate(x*(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","-\frac{2}{692835} \, b {\left(\frac{32768 \, b^{\frac{19}{2}}}{a^{9}} - \frac{\frac{19 \, {\left(6435 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} - 58344 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b + 235620 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{2} - 556920 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{3} + 850850 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{4} - 875160 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{5} + 612612 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{6} - 291720 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{7} + 109395 \, \sqrt{a x^{\frac{1}{3}} + b} b^{8}\right)} b}{a^{8}} + \frac{9 \, {\left(12155 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} - 122265 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b + 554268 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{2} - 1492260 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{3} + 2645370 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{4} - 3233230 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{5} + 2771340 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{6} - 1662804 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{7} + 692835 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{8} - 230945 \, \sqrt{a x^{\frac{1}{3}} + b} b^{9}\right)}}{a^{8}}}{a}\right)} + \frac{2}{1616615} \, a {\left(\frac{65536 \, b^{\frac{21}{2}}}{a^{10}} + \frac{\frac{21 \, {\left(12155 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} - 122265 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b + 554268 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{2} - 1492260 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{3} + 2645370 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{4} - 3233230 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{5} + 2771340 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{6} - 1662804 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{7} + 692835 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{8} - 230945 \, \sqrt{a x^{\frac{1}{3}} + b} b^{9}\right)} b}{a^{9}} + \frac{5 \, {\left(46189 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} - 510510 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b + 2567565 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{2} - 7759752 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{3} + 15668730 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{4} - 22221108 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{5} + 22632610 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{6} - 16628040 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{7} + 8729721 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{8} - 3233230 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{9} + 969969 \, \sqrt{a x^{\frac{1}{3}} + b} b^{10}\right)}}{a^{9}}}{a}\right)}"," ",0,"-2/692835*b*(32768*b^(19/2)/a^9 - (19*(6435*(a*x^(1/3) + b)^(17/2) - 58344*(a*x^(1/3) + b)^(15/2)*b + 235620*(a*x^(1/3) + b)^(13/2)*b^2 - 556920*(a*x^(1/3) + b)^(11/2)*b^3 + 850850*(a*x^(1/3) + b)^(9/2)*b^4 - 875160*(a*x^(1/3) + b)^(7/2)*b^5 + 612612*(a*x^(1/3) + b)^(5/2)*b^6 - 291720*(a*x^(1/3) + b)^(3/2)*b^7 + 109395*sqrt(a*x^(1/3) + b)*b^8)*b/a^8 + 9*(12155*(a*x^(1/3) + b)^(19/2) - 122265*(a*x^(1/3) + b)^(17/2)*b + 554268*(a*x^(1/3) + b)^(15/2)*b^2 - 1492260*(a*x^(1/3) + b)^(13/2)*b^3 + 2645370*(a*x^(1/3) + b)^(11/2)*b^4 - 3233230*(a*x^(1/3) + b)^(9/2)*b^5 + 2771340*(a*x^(1/3) + b)^(7/2)*b^6 - 1662804*(a*x^(1/3) + b)^(5/2)*b^7 + 692835*(a*x^(1/3) + b)^(3/2)*b^8 - 230945*sqrt(a*x^(1/3) + b)*b^9)/a^8)/a) + 2/1616615*a*(65536*b^(21/2)/a^10 + (21*(12155*(a*x^(1/3) + b)^(19/2) - 122265*(a*x^(1/3) + b)^(17/2)*b + 554268*(a*x^(1/3) + b)^(15/2)*b^2 - 1492260*(a*x^(1/3) + b)^(13/2)*b^3 + 2645370*(a*x^(1/3) + b)^(11/2)*b^4 - 3233230*(a*x^(1/3) + b)^(9/2)*b^5 + 2771340*(a*x^(1/3) + b)^(7/2)*b^6 - 1662804*(a*x^(1/3) + b)^(5/2)*b^7 + 692835*(a*x^(1/3) + b)^(3/2)*b^8 - 230945*sqrt(a*x^(1/3) + b)*b^9)*b/a^9 + 5*(46189*(a*x^(1/3) + b)^(21/2) - 510510*(a*x^(1/3) + b)^(19/2)*b + 2567565*(a*x^(1/3) + b)^(17/2)*b^2 - 7759752*(a*x^(1/3) + b)^(15/2)*b^3 + 15668730*(a*x^(1/3) + b)^(13/2)*b^4 - 22221108*(a*x^(1/3) + b)^(11/2)*b^5 + 22632610*(a*x^(1/3) + b)^(9/2)*b^6 - 16628040*(a*x^(1/3) + b)^(7/2)*b^7 + 8729721*(a*x^(1/3) + b)^(5/2)*b^8 - 3233230*(a*x^(1/3) + b)^(3/2)*b^9 + 969969*sqrt(a*x^(1/3) + b)*b^10)/a^9)/a)","B",0
178,1,434,0,0.230072," ","integrate((b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","\frac{2}{3003} \, b {\left(\frac{256 \, b^{\frac{13}{2}}}{a^{6}} + \frac{\frac{13 \, {\left(63 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} - 385 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b + 990 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{2} - 1386 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{3} + 1155 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{4} - 693 \, \sqrt{a x^{\frac{1}{3}} + b} b^{5}\right)} b}{a^{5}} + \frac{3 \, {\left(231 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} - 1638 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b + 5005 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{2} - 8580 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{3} + 9009 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{4} - 6006 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{5} + 3003 \, \sqrt{a x^{\frac{1}{3}} + b} b^{6}\right)}}{a^{5}}}{a}\right)} - \frac{2}{15015} \, a {\left(\frac{1024 \, b^{\frac{15}{2}}}{a^{7}} - \frac{\frac{15 \, {\left(231 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} - 1638 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b + 5005 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{2} - 8580 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{3} + 9009 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{4} - 6006 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{5} + 3003 \, \sqrt{a x^{\frac{1}{3}} + b} b^{6}\right)} b}{a^{6}} + \frac{7 \, {\left(429 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} - 3465 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b + 12285 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{2} - 25025 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{3} + 32175 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{4} - 27027 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{5} + 15015 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{6} - 6435 \, \sqrt{a x^{\frac{1}{3}} + b} b^{7}\right)}}{a^{6}}}{a}\right)}"," ",0,"2/3003*b*(256*b^(13/2)/a^6 + (13*(63*(a*x^(1/3) + b)^(11/2) - 385*(a*x^(1/3) + b)^(9/2)*b + 990*(a*x^(1/3) + b)^(7/2)*b^2 - 1386*(a*x^(1/3) + b)^(5/2)*b^3 + 1155*(a*x^(1/3) + b)^(3/2)*b^4 - 693*sqrt(a*x^(1/3) + b)*b^5)*b/a^5 + 3*(231*(a*x^(1/3) + b)^(13/2) - 1638*(a*x^(1/3) + b)^(11/2)*b + 5005*(a*x^(1/3) + b)^(9/2)*b^2 - 8580*(a*x^(1/3) + b)^(7/2)*b^3 + 9009*(a*x^(1/3) + b)^(5/2)*b^4 - 6006*(a*x^(1/3) + b)^(3/2)*b^5 + 3003*sqrt(a*x^(1/3) + b)*b^6)/a^5)/a) - 2/15015*a*(1024*b^(15/2)/a^7 - (15*(231*(a*x^(1/3) + b)^(13/2) - 1638*(a*x^(1/3) + b)^(11/2)*b + 5005*(a*x^(1/3) + b)^(9/2)*b^2 - 8580*(a*x^(1/3) + b)^(7/2)*b^3 + 9009*(a*x^(1/3) + b)^(5/2)*b^4 - 6006*(a*x^(1/3) + b)^(3/2)*b^5 + 3003*sqrt(a*x^(1/3) + b)*b^6)*b/a^6 + 7*(429*(a*x^(1/3) + b)^(15/2) - 3465*(a*x^(1/3) + b)^(13/2)*b + 12285*(a*x^(1/3) + b)^(11/2)*b^2 - 25025*(a*x^(1/3) + b)^(9/2)*b^3 + 32175*(a*x^(1/3) + b)^(7/2)*b^4 - 27027*(a*x^(1/3) + b)^(5/2)*b^5 + 15015*(a*x^(1/3) + b)^(3/2)*b^6 - 6435*sqrt(a*x^(1/3) + b)*b^7)/a^6)/a)","B",0
179,1,265,0,0.211009," ","integrate((b*x^(2/3)+a*x)^(3/2)/x,x, algorithm=""giac"")","-\frac{2}{35} \, b {\left(\frac{8 \, b^{\frac{7}{2}}}{a^{3}} - \frac{\frac{7 \, {\left(3 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} - 10 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b + 15 \, \sqrt{a x^{\frac{1}{3}} + b} b^{2}\right)} b}{a^{2}} + \frac{3 \, {\left(5 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} - 21 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b + 35 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{2} - 35 \, \sqrt{a x^{\frac{1}{3}} + b} b^{3}\right)}}{a^{2}}}{a}\right)} + \frac{2}{105} \, a {\left(\frac{16 \, b^{\frac{9}{2}}}{a^{4}} + \frac{\frac{9 \, {\left(5 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} - 21 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b + 35 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{2} - 35 \, \sqrt{a x^{\frac{1}{3}} + b} b^{3}\right)} b}{a^{3}} + \frac{35 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} - 180 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b + 378 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{2} - 420 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{3} + 315 \, \sqrt{a x^{\frac{1}{3}} + b} b^{4}}{a^{3}}}{a}\right)}"," ",0,"-2/35*b*(8*b^(7/2)/a^3 - (7*(3*(a*x^(1/3) + b)^(5/2) - 10*(a*x^(1/3) + b)^(3/2)*b + 15*sqrt(a*x^(1/3) + b)*b^2)*b/a^2 + 3*(5*(a*x^(1/3) + b)^(7/2) - 21*(a*x^(1/3) + b)^(5/2)*b + 35*(a*x^(1/3) + b)^(3/2)*b^2 - 35*sqrt(a*x^(1/3) + b)*b^3)/a^2)/a) + 2/105*a*(16*b^(9/2)/a^4 + (9*(5*(a*x^(1/3) + b)^(7/2) - 21*(a*x^(1/3) + b)^(5/2)*b + 35*(a*x^(1/3) + b)^(3/2)*b^2 - 35*sqrt(a*x^(1/3) + b)*b^3)*b/a^3 + (35*(a*x^(1/3) + b)^(9/2) - 180*(a*x^(1/3) + b)^(7/2)*b + 378*(a*x^(1/3) + b)^(5/2)*b^2 - 420*(a*x^(1/3) + b)^(3/2)*b^3 + 315*sqrt(a*x^(1/3) + b)*b^4)/a^3)/a)","B",0
180,1,83,0,0.231390," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^2,x, algorithm=""giac"")","\frac{6 \, b^{2} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b}} + 2 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} + 6 \, \sqrt{a x^{\frac{1}{3}} + b} b - \frac{2 \, {\left(3 \, b^{2} \arctan\left(\frac{\sqrt{b}}{\sqrt{-b}}\right) + 4 \, \sqrt{-b} b^{\frac{3}{2}}\right)}}{\sqrt{-b}}"," ",0,"6*b^2*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/sqrt(-b) + 2*(a*x^(1/3) + b)^(3/2) + 6*sqrt(a*x^(1/3) + b)*b - 2*(3*b^2*arctan(sqrt(b)/sqrt(-b)) + 4*sqrt(-b)*b^(3/2))/sqrt(-b)","A",0
181,1,92,0,0.261120," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^3,x, algorithm=""giac"")","-\frac{\frac{3 \, a^{4} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b} + \frac{3 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{4} + 8 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{4} b - 3 \, \sqrt{a x^{\frac{1}{3}} + b} a^{4} b^{2}}{a^{3} b x}}{8 \, a}"," ",0,"-1/8*(3*a^4*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b) + (3*(a*x^(1/3) + b)^(5/2)*a^4 + 8*(a*x^(1/3) + b)^(3/2)*a^4*b - 3*sqrt(a*x^(1/3) + b)*a^4*b^2)/(a^3*b*x))/a","A",0
182,1,143,0,0.367846," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^4,x, algorithm=""giac"")","\frac{\frac{105 \, a^{7} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{4}} + \frac{105 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{7} - 595 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{7} b + 1386 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{7} b^{2} - 1686 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{7} b^{3} - 595 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{7} b^{4} + 105 \, \sqrt{a x^{\frac{1}{3}} + b} a^{7} b^{5}}{a^{6} b^{4} x^{2}}}{2560 \, a}"," ",0,"1/2560*(105*a^7*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^4) + (105*(a*x^(1/3) + b)^(11/2)*a^7 - 595*(a*x^(1/3) + b)^(9/2)*a^7*b + 1386*(a*x^(1/3) + b)^(7/2)*a^7*b^2 - 1686*(a*x^(1/3) + b)^(5/2)*a^7*b^3 - 595*(a*x^(1/3) + b)^(3/2)*a^7*b^4 + 105*sqrt(a*x^(1/3) + b)*a^7*b^5)/(a^6*b^4*x^2))/a","A",0
183,1,194,0,0.382541," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^5,x, algorithm=""giac"")","-\frac{\frac{45045 \, a^{10} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{7}} + \frac{45045 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} a^{10} - 390390 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} a^{10} b + 1495494 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{10} b^{2} - 3317886 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{10} b^{3} + 4685824 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{10} b^{4} - 4349826 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{10} b^{5} + 2633274 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{10} b^{6} + 390390 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{10} b^{7} - 45045 \, \sqrt{a x^{\frac{1}{3}} + b} a^{10} b^{8}}{a^{9} b^{7} x^{3}}}{3440640 \, a}"," ",0,"-1/3440640*(45045*a^10*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^7) + (45045*(a*x^(1/3) + b)^(17/2)*a^10 - 390390*(a*x^(1/3) + b)^(15/2)*a^10*b + 1495494*(a*x^(1/3) + b)^(13/2)*a^10*b^2 - 3317886*(a*x^(1/3) + b)^(11/2)*a^10*b^3 + 4685824*(a*x^(1/3) + b)^(9/2)*a^10*b^4 - 4349826*(a*x^(1/3) + b)^(7/2)*a^10*b^5 + 2633274*(a*x^(1/3) + b)^(5/2)*a^10*b^6 + 390390*(a*x^(1/3) + b)^(3/2)*a^10*b^7 - 45045*sqrt(a*x^(1/3) + b)*a^10*b^8)/(a^9*b^7*x^3))/a","A",0
184,1,245,0,0.472232," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^6,x, algorithm=""giac"")","\frac{\frac{14549535 \, a^{13} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{10}} + \frac{14549535 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{23}{2}} a^{13} - 169744575 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} a^{13} b + 904981077 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} a^{13} b^{2} - 2913648309 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} a^{13} b^{3} + 6303782342 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} a^{13} b^{4} - 9643633350 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{13} b^{5} + 10677769530 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{13} b^{6} - 8598579770 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{13} b^{7} + 4975837515 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{13} b^{8} - 2001671595 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{13} b^{9} - 169744575 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{13} b^{10} + 14549535 \, \sqrt{a x^{\frac{1}{3}} + b} a^{13} b^{11}}{a^{12} b^{10} x^{4}}}{2422210560 \, a}"," ",0,"1/2422210560*(14549535*a^13*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^10) + (14549535*(a*x^(1/3) + b)^(23/2)*a^13 - 169744575*(a*x^(1/3) + b)^(21/2)*a^13*b + 904981077*(a*x^(1/3) + b)^(19/2)*a^13*b^2 - 2913648309*(a*x^(1/3) + b)^(17/2)*a^13*b^3 + 6303782342*(a*x^(1/3) + b)^(15/2)*a^13*b^4 - 9643633350*(a*x^(1/3) + b)^(13/2)*a^13*b^5 + 10677769530*(a*x^(1/3) + b)^(11/2)*a^13*b^6 - 8598579770*(a*x^(1/3) + b)^(9/2)*a^13*b^7 + 4975837515*(a*x^(1/3) + b)^(7/2)*a^13*b^8 - 2001671595*(a*x^(1/3) + b)^(5/2)*a^13*b^9 - 169744575*(a*x^(1/3) + b)^(3/2)*a^13*b^10 + 14549535*sqrt(a*x^(1/3) + b)*a^13*b^11)/(a^12*b^10*x^4))/a","A",0
185,1,206,0,0.299365," ","integrate(x^4/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","\frac{16777216 \, b^{\frac{27}{2}}}{11700675 \, a^{14}} + \frac{2 \, {\left(1300075 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{27}{2}} - 18253053 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{25}{2}} b + 119041650 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{23}{2}} b^{2} - 478056150 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} b^{3} + 1320944625 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b^{4} - 2657429775 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{5} + 4015671660 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{6} - 4633467300 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{7} + 4106936925 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{8} - 2788660875 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{9} + 1434168450 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{10} - 547591590 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{11} + 152108775 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{12} - 35102025 \, \sqrt{a x^{\frac{1}{3}} + b} b^{13}\right)}}{11700675 \, a^{14}}"," ",0,"16777216/11700675*b^(27/2)/a^14 + 2/11700675*(1300075*(a*x^(1/3) + b)^(27/2) - 18253053*(a*x^(1/3) + b)^(25/2)*b + 119041650*(a*x^(1/3) + b)^(23/2)*b^2 - 478056150*(a*x^(1/3) + b)^(21/2)*b^3 + 1320944625*(a*x^(1/3) + b)^(19/2)*b^4 - 2657429775*(a*x^(1/3) + b)^(17/2)*b^5 + 4015671660*(a*x^(1/3) + b)^(15/2)*b^6 - 4633467300*(a*x^(1/3) + b)^(13/2)*b^7 + 4106936925*(a*x^(1/3) + b)^(11/2)*b^8 - 2788660875*(a*x^(1/3) + b)^(9/2)*b^9 + 1434168450*(a*x^(1/3) + b)^(7/2)*b^10 - 547591590*(a*x^(1/3) + b)^(5/2)*b^11 + 152108775*(a*x^(1/3) + b)^(3/2)*b^12 - 35102025*sqrt(a*x^(1/3) + b)*b^13)/a^14","A",0
186,1,164,0,0.187978," ","integrate(x^3/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","-\frac{524288 \, b^{\frac{21}{2}}}{323323 \, a^{11}} + \frac{2 \, {\left(46189 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} - 510510 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} b + 2567565 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} b^{2} - 7759752 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} b^{3} + 15668730 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b^{4} - 22221108 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{5} + 22632610 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{6} - 16628040 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{7} + 8729721 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{8} - 3233230 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{9} + 969969 \, \sqrt{a x^{\frac{1}{3}} + b} b^{10}\right)}}{323323 \, a^{11}}"," ",0,"-524288/323323*b^(21/2)/a^11 + 2/323323*(46189*(a*x^(1/3) + b)^(21/2) - 510510*(a*x^(1/3) + b)^(19/2)*b + 2567565*(a*x^(1/3) + b)^(17/2)*b^2 - 7759752*(a*x^(1/3) + b)^(15/2)*b^3 + 15668730*(a*x^(1/3) + b)^(13/2)*b^4 - 22221108*(a*x^(1/3) + b)^(11/2)*b^5 + 22632610*(a*x^(1/3) + b)^(9/2)*b^6 - 16628040*(a*x^(1/3) + b)^(7/2)*b^7 + 8729721*(a*x^(1/3) + b)^(5/2)*b^8 - 3233230*(a*x^(1/3) + b)^(3/2)*b^9 + 969969*sqrt(a*x^(1/3) + b)*b^10)/a^11","A",0
187,1,122,0,0.269163," ","integrate(x^2/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","\frac{4096 \, b^{\frac{15}{2}}}{2145 \, a^{8}} + \frac{2 \, {\left(429 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} - 3465 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} b + 12285 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} b^{2} - 25025 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} b^{3} + 32175 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b^{4} - 27027 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{5} + 15015 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{6} - 6435 \, \sqrt{a x^{\frac{1}{3}} + b} b^{7}\right)}}{2145 \, a^{8}}"," ",0,"4096/2145*b^(15/2)/a^8 + 2/2145*(429*(a*x^(1/3) + b)^(15/2) - 3465*(a*x^(1/3) + b)^(13/2)*b + 12285*(a*x^(1/3) + b)^(11/2)*b^2 - 25025*(a*x^(1/3) + b)^(9/2)*b^3 + 32175*(a*x^(1/3) + b)^(7/2)*b^4 - 27027*(a*x^(1/3) + b)^(5/2)*b^5 + 15015*(a*x^(1/3) + b)^(3/2)*b^6 - 6435*sqrt(a*x^(1/3) + b)*b^7)/a^8","A",0
188,1,80,0,0.175905," ","integrate(x/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","-\frac{256 \, b^{\frac{9}{2}}}{105 \, a^{5}} + \frac{2 \, {\left(35 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} - 180 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} b + 378 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} b^{2} - 420 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} b^{3} + 315 \, \sqrt{a x^{\frac{1}{3}} + b} b^{4}\right)}}{105 \, a^{5}}"," ",0,"-256/105*b^(9/2)/a^5 + 2/105*(35*(a*x^(1/3) + b)^(9/2) - 180*(a*x^(1/3) + b)^(7/2)*b + 378*(a*x^(1/3) + b)^(5/2)*b^2 - 420*(a*x^(1/3) + b)^(3/2)*b^3 + 315*sqrt(a*x^(1/3) + b)*b^4)/a^5","A",0
189,1,36,0,0.488021," ","integrate(1/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","\frac{4 \, b^{\frac{3}{2}}}{a^{2}} + \frac{2 \, {\left({\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} - 3 \, \sqrt{a x^{\frac{1}{3}} + b} b\right)}}{a^{2}}"," ",0,"4*b^(3/2)/a^2 + 2*((a*x^(1/3) + b)^(3/2) - 3*sqrt(a*x^(1/3) + b)*b)/a^2","A",0
190,1,51,0,0.217233," ","integrate(1/x/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","-\frac{3 \, {\left(\frac{a^{2} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b} + \frac{\sqrt{a x^{\frac{1}{3}} + b} a}{b x^{\frac{1}{3}}}\right)}}{a}"," ",0,"-3*(a^2*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b) + sqrt(a*x^(1/3) + b)*a/(b*x^(1/3)))/a","A",0
191,1,109,0,0.259743," ","integrate(1/x^2/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","\frac{\frac{105 \, a^{5} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{4}} + \frac{105 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{5} - 385 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{5} b + 511 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{5} b^{2} - 279 \, \sqrt{a x^{\frac{1}{3}} + b} a^{5} b^{3}}{a^{4} b^{4} x^{\frac{4}{3}}}}{64 \, a}"," ",0,"1/64*(105*a^5*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^4) + (105*(a*x^(1/3) + b)^(7/2)*a^5 - 385*(a*x^(1/3) + b)^(5/2)*a^5*b + 511*(a*x^(1/3) + b)^(3/2)*a^5*b^2 - 279*sqrt(a*x^(1/3) + b)*a^5*b^3)/(a^4*b^4*x^(4/3)))/a","A",0
192,1,160,0,0.309732," ","integrate(1/x^3/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","-\frac{\frac{45045 \, a^{8} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{7}} + \frac{45045 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{8} - 300300 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{8} b + 849849 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{8} b^{2} - 1317888 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{8} b^{3} + 1200199 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{8} b^{4} - 631540 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{8} b^{5} + 169995 \, \sqrt{a x^{\frac{1}{3}} + b} a^{8} b^{6}}{a^{7} b^{7} x^{\frac{7}{3}}}}{35840 \, a}"," ",0,"-1/35840*(45045*a^8*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^7) + (45045*(a*x^(1/3) + b)^(13/2)*a^8 - 300300*(a*x^(1/3) + b)^(11/2)*a^8*b + 849849*(a*x^(1/3) + b)^(9/2)*a^8*b^2 - 1317888*(a*x^(1/3) + b)^(7/2)*a^8*b^3 + 1200199*(a*x^(1/3) + b)^(5/2)*a^8*b^4 - 631540*(a*x^(1/3) + b)^(3/2)*a^8*b^5 + 169995*sqrt(a*x^(1/3) + b)*a^8*b^6)/(a^7*b^7*x^(7/3)))/a","A",0
193,1,211,0,0.359317," ","integrate(1/x^4/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""giac"")","\frac{\frac{14549535 \, a^{11} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{10}} + \frac{14549535 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} a^{11} - 140645505 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} a^{11} b + 609140532 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} a^{11} b^{2} - 1554721740 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{11} b^{3} + 2585198330 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{11} b^{4} - 2918514950 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{11} b^{5} + 2255541300 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{11} b^{6} - 1168982220 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{11} b^{7} + 382331775 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{11} b^{8} - 68025825 \, \sqrt{a x^{\frac{1}{3}} + b} a^{11} b^{9}}{a^{10} b^{10} x^{\frac{10}{3}}}}{13762560 \, a}"," ",0,"1/13762560*(14549535*a^11*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^10) + (14549535*(a*x^(1/3) + b)^(19/2)*a^11 - 140645505*(a*x^(1/3) + b)^(17/2)*a^11*b + 609140532*(a*x^(1/3) + b)^(15/2)*a^11*b^2 - 1554721740*(a*x^(1/3) + b)^(13/2)*a^11*b^3 + 2585198330*(a*x^(1/3) + b)^(11/2)*a^11*b^4 - 2918514950*(a*x^(1/3) + b)^(9/2)*a^11*b^5 + 2255541300*(a*x^(1/3) + b)^(7/2)*a^11*b^6 - 1168982220*(a*x^(1/3) + b)^(5/2)*a^11*b^7 + 382331775*(a*x^(1/3) + b)^(3/2)*a^11*b^8 - 68025825*sqrt(a*x^(1/3) + b)*a^11*b^9)/(a^10*b^10*x^(10/3)))/a","A",0
194,1,214,0,0.245495," ","integrate(x^4/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","-\frac{1048576 \, b^{\frac{21}{2}}}{29393 \, a^{12}} + \frac{6 \, b^{11}}{\sqrt{a x^{\frac{1}{3}} + b} a^{12}} + \frac{2 \, {\left(4199 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} a^{240} - 51051 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} a^{240} b + 285285 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} a^{240} b^{2} - 969969 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} a^{240} b^{3} + 2238390 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{240} b^{4} - 3703518 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{240} b^{5} + 4526522 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{240} b^{6} - 4157010 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{240} b^{7} + 2909907 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{240} b^{8} - 1616615 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{240} b^{9} + 969969 \, \sqrt{a x^{\frac{1}{3}} + b} a^{240} b^{10}\right)}}{29393 \, a^{252}}"," ",0,"-1048576/29393*b^(21/2)/a^12 + 6*b^11/(sqrt(a*x^(1/3) + b)*a^12) + 2/29393*(4199*(a*x^(1/3) + b)^(21/2)*a^240 - 51051*(a*x^(1/3) + b)^(19/2)*a^240*b + 285285*(a*x^(1/3) + b)^(17/2)*a^240*b^2 - 969969*(a*x^(1/3) + b)^(15/2)*a^240*b^3 + 2238390*(a*x^(1/3) + b)^(13/2)*a^240*b^4 - 3703518*(a*x^(1/3) + b)^(11/2)*a^240*b^5 + 4526522*(a*x^(1/3) + b)^(9/2)*a^240*b^6 - 4157010*(a*x^(1/3) + b)^(7/2)*a^240*b^7 + 2909907*(a*x^(1/3) + b)^(5/2)*a^240*b^8 - 1616615*(a*x^(1/3) + b)^(3/2)*a^240*b^9 + 969969*sqrt(a*x^(1/3) + b)*a^240*b^10)/a^252","A",0
195,1,163,0,0.214701," ","integrate(x^3/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","\frac{65536 \, b^{\frac{15}{2}}}{2145 \, a^{9}} - \frac{6 \, b^{8}}{\sqrt{a x^{\frac{1}{3}} + b} a^{9}} + \frac{2 \, {\left(429 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} a^{126} - 3960 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{126} b + 16380 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{126} b^{2} - 40040 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{126} b^{3} + 64350 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{126} b^{4} - 72072 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{126} b^{5} + 60060 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{126} b^{6} - 51480 \, \sqrt{a x^{\frac{1}{3}} + b} a^{126} b^{7}\right)}}{2145 \, a^{135}}"," ",0,"65536/2145*b^(15/2)/a^9 - 6*b^8/(sqrt(a*x^(1/3) + b)*a^9) + 2/2145*(429*(a*x^(1/3) + b)^(15/2)*a^126 - 3960*(a*x^(1/3) + b)^(13/2)*a^126*b + 16380*(a*x^(1/3) + b)^(11/2)*a^126*b^2 - 40040*(a*x^(1/3) + b)^(9/2)*a^126*b^3 + 64350*(a*x^(1/3) + b)^(7/2)*a^126*b^4 - 72072*(a*x^(1/3) + b)^(5/2)*a^126*b^5 + 60060*(a*x^(1/3) + b)^(3/2)*a^126*b^6 - 51480*sqrt(a*x^(1/3) + b)*a^126*b^7)/a^135","A",0
196,1,112,0,0.228307," ","integrate(x^2/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","-\frac{512 \, b^{\frac{9}{2}}}{21 \, a^{6}} + \frac{6 \, b^{5}}{\sqrt{a x^{\frac{1}{3}} + b} a^{6}} + \frac{2 \, {\left(7 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{48} - 45 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{48} b + 126 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{48} b^{2} - 210 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{48} b^{3} + 315 \, \sqrt{a x^{\frac{1}{3}} + b} a^{48} b^{4}\right)}}{21 \, a^{54}}"," ",0,"-512/21*b^(9/2)/a^6 + 6*b^5/(sqrt(a*x^(1/3) + b)*a^6) + 2/21*(7*(a*x^(1/3) + b)^(9/2)*a^48 - 45*(a*x^(1/3) + b)^(7/2)*a^48*b + 126*(a*x^(1/3) + b)^(5/2)*a^48*b^2 - 210*(a*x^(1/3) + b)^(3/2)*a^48*b^3 + 315*sqrt(a*x^(1/3) + b)*a^48*b^4)/a^54","A",0
197,1,60,0,0.219137," ","integrate(x/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","\frac{16 \, b^{\frac{3}{2}}}{a^{3}} - \frac{6 \, b^{2}}{\sqrt{a x^{\frac{1}{3}} + b} a^{3}} + \frac{2 \, {\left({\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{6} - 6 \, \sqrt{a x^{\frac{1}{3}} + b} a^{6} b\right)}}{a^{9}}"," ",0,"16*b^(3/2)/a^3 - 6*b^2/(sqrt(a*x^(1/3) + b)*a^3) + 2*((a*x^(1/3) + b)^(3/2)*a^6 - 6*sqrt(a*x^(1/3) + b)*a^6*b)/a^9","A",0
198,1,71,0,0.211978," ","integrate(1/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","\frac{6 \, \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b} - \frac{6 \, {\left(\sqrt{b} \arctan\left(\frac{\sqrt{b}}{\sqrt{-b}}\right) + \sqrt{-b}\right)}}{\sqrt{-b} b^{\frac{3}{2}}} + \frac{6}{\sqrt{a x^{\frac{1}{3}} + b} b}"," ",0,"6*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b) - 6*(sqrt(b)*arctan(sqrt(b)/sqrt(-b)) + sqrt(-b))/(sqrt(-b)*b^(3/2)) + 6/(sqrt(a*x^(1/3) + b)*b)","A",0
199,1,105,0,0.258726," ","integrate(1/x/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","-\frac{105 \, a^{3} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{8 \, \sqrt{-b} b^{4}} - \frac{6 \, a^{3}}{\sqrt{a x^{\frac{1}{3}} + b} b^{4}} - \frac{57 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{3} - 136 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{3} b + 87 \, \sqrt{a x^{\frac{1}{3}} + b} a^{3} b^{2}}{8 \, a^{3} b^{4} x}"," ",0,"-105/8*a^3*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^4) - 6*a^3/(sqrt(a*x^(1/3) + b)*b^4) - 1/8*(57*(a*x^(1/3) + b)^(5/2)*a^3 - 136*(a*x^(1/3) + b)^(3/2)*a^3*b + 87*sqrt(a*x^(1/3) + b)*a^3*b^2)/(a^3*b^4*x)","A",0
200,1,156,0,0.391283," ","integrate(1/x^2/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","\frac{9009 \, a^{6} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{512 \, \sqrt{-b} b^{7}} + \frac{6 \, a^{6}}{\sqrt{a x^{\frac{1}{3}} + b} b^{7}} + \frac{29685 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{6} - 163095 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{6} b + 364194 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{6} b^{2} - 416094 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{6} b^{3} + 246505 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{6} b^{4} - 62475 \, \sqrt{a x^{\frac{1}{3}} + b} a^{6} b^{5}}{2560 \, a^{6} b^{7} x^{2}}"," ",0,"9009/512*a^6*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^7) + 6*a^6/(sqrt(a*x^(1/3) + b)*b^7) + 1/2560*(29685*(a*x^(1/3) + b)^(11/2)*a^6 - 163095*(a*x^(1/3) + b)^(9/2)*a^6*b + 364194*(a*x^(1/3) + b)^(7/2)*a^6*b^2 - 416094*(a*x^(1/3) + b)^(5/2)*a^6*b^3 + 246505*(a*x^(1/3) + b)^(3/2)*a^6*b^4 - 62475*sqrt(a*x^(1/3) + b)*a^6*b^5)/(a^6*b^7*x^2)","A",0
201,1,207,0,0.376307," ","integrate(1/x^3/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","-\frac{692835 \, a^{9} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{32768 \, \sqrt{-b} b^{10}} - \frac{6 \, a^{9}}{\sqrt{a x^{\frac{1}{3}} + b} b^{10}} - \frac{10420767 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} a^{9} - 88937058 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} a^{9} b + 334408914 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{9} b^{2} - 724860666 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{9} b^{3} + 993296384 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{9} b^{4} - 884769030 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{9} b^{5} + 503730990 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{9} b^{6} - 169799070 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{9} b^{7} + 26738145 \, \sqrt{a x^{\frac{1}{3}} + b} a^{9} b^{8}}{688128 \, a^{9} b^{10} x^{3}}"," ",0,"-692835/32768*a^9*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^10) - 6*a^9/(sqrt(a*x^(1/3) + b)*b^10) - 1/688128*(10420767*(a*x^(1/3) + b)^(17/2)*a^9 - 88937058*(a*x^(1/3) + b)^(15/2)*a^9*b + 334408914*(a*x^(1/3) + b)^(13/2)*a^9*b^2 - 724860666*(a*x^(1/3) + b)^(11/2)*a^9*b^3 + 993296384*(a*x^(1/3) + b)^(9/2)*a^9*b^4 - 884769030*(a*x^(1/3) + b)^(7/2)*a^9*b^5 + 503730990*(a*x^(1/3) + b)^(5/2)*a^9*b^6 - 169799070*(a*x^(1/3) + b)^(3/2)*a^9*b^7 + 26738145*sqrt(a*x^(1/3) + b)*a^9*b^8)/(a^9*b^10*x^3)","A",0
202,1,258,0,0.451763," ","integrate(1/x^4/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""giac"")","\frac{50702925 \, a^{12} \arctan\left(\frac{\sqrt{a x^{\frac{1}{3}} + b}}{\sqrt{-b}}\right)}{2097152 \, \sqrt{-b} b^{13}} + \frac{6 \, a^{12}}{\sqrt{a x^{\frac{1}{3}} + b} b^{13}} + \frac{1257960429 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{23}{2}} a^{12} - 14537792973 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{21}{2}} a^{12} b + 76667241519 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{19}{2}} a^{12} b^{2} - 243717614415 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{17}{2}} a^{12} b^{3} + 519393101810 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{15}{2}} a^{12} b^{4} - 780150847218 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{13}{2}} a^{12} b^{5} + 844265343246 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{11}{2}} a^{12} b^{6} - 659969685518 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{9}{2}} a^{12} b^{7} + 366679446705 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{7}{2}} a^{12} b^{8} - 138840292305 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{5}{2}} a^{12} b^{9} + 32660709939 \, {\left(a x^{\frac{1}{3}} + b\right)}^{\frac{3}{2}} a^{12} b^{10} - 3724872723 \, \sqrt{a x^{\frac{1}{3}} + b} a^{12} b^{11}}{69206016 \, a^{12} b^{13} x^{4}}"," ",0,"50702925/2097152*a^12*arctan(sqrt(a*x^(1/3) + b)/sqrt(-b))/(sqrt(-b)*b^13) + 6*a^12/(sqrt(a*x^(1/3) + b)*b^13) + 1/69206016*(1257960429*(a*x^(1/3) + b)^(23/2)*a^12 - 14537792973*(a*x^(1/3) + b)^(21/2)*a^12*b + 76667241519*(a*x^(1/3) + b)^(19/2)*a^12*b^2 - 243717614415*(a*x^(1/3) + b)^(17/2)*a^12*b^3 + 519393101810*(a*x^(1/3) + b)^(15/2)*a^12*b^4 - 780150847218*(a*x^(1/3) + b)^(13/2)*a^12*b^5 + 844265343246*(a*x^(1/3) + b)^(11/2)*a^12*b^6 - 659969685518*(a*x^(1/3) + b)^(9/2)*a^12*b^7 + 366679446705*(a*x^(1/3) + b)^(7/2)*a^12*b^8 - 138840292305*(a*x^(1/3) + b)^(5/2)*a^12*b^9 + 32660709939*(a*x^(1/3) + b)^(3/2)*a^12*b^10 - 3724872723*sqrt(a*x^(1/3) + b)*a^12*b^11)/(a^12*b^13*x^4)","A",0
203,1,13,0,0.187147," ","integrate(x^2*(b*x^3+a*x^2),x, algorithm=""giac"")","\frac{1}{6} \, b x^{6} + \frac{1}{5} \, a x^{5}"," ",0,"1/6*b*x^6 + 1/5*a*x^5","A",0
204,1,13,0,0.149698," ","integrate(x*(b*x^3+a*x^2),x, algorithm=""giac"")","\frac{1}{5} \, b x^{5} + \frac{1}{4} \, a x^{4}"," ",0,"1/5*b*x^5 + 1/4*a*x^4","A",0
205,1,13,0,0.160554," ","integrate(b*x^3+a*x^2,x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} + \frac{1}{3} \, a x^{3}"," ",0,"1/4*b*x^4 + 1/3*a*x^3","A",0
206,1,13,0,0.147218," ","integrate((b*x^3+a*x^2)/x,x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} + \frac{1}{2} \, a x^{2}"," ",0,"1/3*b*x^3 + 1/2*a*x^2","A",0
207,1,10,0,0.145658," ","integrate((b*x^3+a*x^2)/x^2,x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
208,1,24,0,0.150034," ","integrate(x^2*(b*x^3+a*x^2)^2,x, algorithm=""giac"")","\frac{1}{9} \, b^{2} x^{9} + \frac{1}{4} \, a b x^{8} + \frac{1}{7} \, a^{2} x^{7}"," ",0,"1/9*b^2*x^9 + 1/4*a*b*x^8 + 1/7*a^2*x^7","A",0
209,1,24,0,0.148319," ","integrate(x*(b*x^3+a*x^2)^2,x, algorithm=""giac"")","\frac{1}{8} \, b^{2} x^{8} + \frac{2}{7} \, a b x^{7} + \frac{1}{6} \, a^{2} x^{6}"," ",0,"1/8*b^2*x^8 + 2/7*a*b*x^7 + 1/6*a^2*x^6","A",0
210,1,24,0,0.160162," ","integrate((b*x^3+a*x^2)^2,x, algorithm=""giac"")","\frac{1}{7} \, b^{2} x^{7} + \frac{1}{3} \, a b x^{6} + \frac{1}{5} \, a^{2} x^{5}"," ",0,"1/7*b^2*x^7 + 1/3*a*b*x^6 + 1/5*a^2*x^5","A",0
211,1,24,0,0.165731," ","integrate((b*x^3+a*x^2)^2/x,x, algorithm=""giac"")","\frac{1}{6} \, b^{2} x^{6} + \frac{2}{5} \, a b x^{5} + \frac{1}{4} \, a^{2} x^{4}"," ",0,"1/6*b^2*x^6 + 2/5*a*b*x^5 + 1/4*a^2*x^4","A",0
212,1,24,0,0.151767," ","integrate((b*x^3+a*x^2)^2/x^2,x, algorithm=""giac"")","\frac{1}{5} \, b^{2} x^{5} + \frac{1}{2} \, a b x^{4} + \frac{1}{3} \, a^{2} x^{3}"," ",0,"1/5*b^2*x^5 + 1/2*a*b*x^4 + 1/3*a^2*x^3","A",0
213,1,53,0,0.151412," ","integrate(x^6/(b*x^3+a*x^2),x, algorithm=""giac"")","\frac{a^{4} \log\left({\left| b x + a \right|}\right)}{b^{5}} + \frac{3 \, b^{3} x^{4} - 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2} - 12 \, a^{3} x}{12 \, b^{4}}"," ",0,"a^4*log(abs(b*x + a))/b^5 + 1/12*(3*b^3*x^4 - 4*a*b^2*x^3 + 6*a^2*b*x^2 - 12*a^3*x)/b^4","A",0
214,1,43,0,0.139670," ","integrate(x^5/(b*x^3+a*x^2),x, algorithm=""giac"")","-\frac{a^{3} \log\left({\left| b x + a \right|}\right)}{b^{4}} + \frac{2 \, b^{2} x^{3} - 3 \, a b x^{2} + 6 \, a^{2} x}{6 \, b^{3}}"," ",0,"-a^3*log(abs(b*x + a))/b^4 + 1/6*(2*b^2*x^3 - 3*a*b*x^2 + 6*a^2*x)/b^3","A",0
215,1,30,0,0.190630," ","integrate(x^4/(b*x^3+a*x^2),x, algorithm=""giac"")","\frac{a^{2} \log\left({\left| b x + a \right|}\right)}{b^{3}} + \frac{b x^{2} - 2 \, a x}{2 \, b^{2}}"," ",0,"a^2*log(abs(b*x + a))/b^3 + 1/2*(b*x^2 - 2*a*x)/b^2","A",0
216,1,19,0,0.147725," ","integrate(x^3/(b*x^3+a*x^2),x, algorithm=""giac"")","\frac{x}{b} - \frac{a \log\left({\left| b x + a \right|}\right)}{b^{2}}"," ",0,"x/b - a*log(abs(b*x + a))/b^2","A",0
217,1,11,0,0.146024," ","integrate(x^2/(b*x^3+a*x^2),x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b}"," ",0,"log(abs(b*x + a))/b","A",0
218,1,20,0,0.159794," ","integrate(x/(b*x^3+a*x^2),x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a} + \frac{\log\left({\left| x \right|}\right)}{a}"," ",0,"-log(abs(b*x + a))/a + log(abs(x))/a","A",0
219,1,30,0,0.152946," ","integrate(1/(b*x^3+a*x^2),x, algorithm=""giac"")","\frac{b \log\left({\left| b x + a \right|}\right)}{a^{2}} - \frac{b \log\left({\left| x \right|}\right)}{a^{2}} - \frac{1}{a x}"," ",0,"b*log(abs(b*x + a))/a^2 - b*log(abs(x))/a^2 - 1/(a*x)","A",0
220,1,45,0,0.153041," ","integrate(1/x/(b*x^3+a*x^2),x, algorithm=""giac"")","-\frac{b^{2} \log\left({\left| b x + a \right|}\right)}{a^{3}} + \frac{b^{2} \log\left({\left| x \right|}\right)}{a^{3}} + \frac{2 \, a b x - a^{2}}{2 \, a^{3} x^{2}}"," ",0,"-b^2*log(abs(b*x + a))/a^3 + b^2*log(abs(x))/a^3 + 1/2*(2*a*b*x - a^2)/(a^3*x^2)","A",0
221,1,56,0,0.160844," ","integrate(1/x^2/(b*x^3+a*x^2),x, algorithm=""giac"")","\frac{b^{3} \log\left({\left| b x + a \right|}\right)}{a^{4}} - \frac{b^{3} \log\left({\left| x \right|}\right)}{a^{4}} - \frac{6 \, a b^{2} x^{2} - 3 \, a^{2} b x + 2 \, a^{3}}{6 \, a^{4} x^{3}}"," ",0,"b^3*log(abs(b*x + a))/a^4 - b^3*log(abs(x))/a^4 - 1/6*(6*a*b^2*x^2 - 3*a^2*b*x + 2*a^3)/(a^4*x^3)","A",0
222,1,62,0,0.171982," ","integrate(x^8/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","-\frac{4 \, a^{3} \log\left({\left| b x + a \right|}\right)}{b^{5}} - \frac{a^{4}}{{\left(b x + a\right)} b^{5}} + \frac{b^{4} x^{3} - 3 \, a b^{3} x^{2} + 9 \, a^{2} b^{2} x}{3 \, b^{6}}"," ",0,"-4*a^3*log(abs(b*x + a))/b^5 - a^4/((b*x + a)*b^5) + 1/3*(b^4*x^3 - 3*a*b^3*x^2 + 9*a^2*b^2*x)/b^6","A",0
223,1,48,0,0.155097," ","integrate(x^7/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} \log\left({\left| b x + a \right|}\right)}{b^{4}} + \frac{a^{3}}{{\left(b x + a\right)} b^{4}} + \frac{b^{2} x^{2} - 4 \, a b x}{2 \, b^{4}}"," ",0,"3*a^2*log(abs(b*x + a))/b^4 + a^3/((b*x + a)*b^4) + 1/2*(b^2*x^2 - 4*a*b*x)/b^4","A",0
224,1,34,0,0.150448," ","integrate(x^6/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","\frac{x}{b^{2}} - \frac{2 \, a \log\left({\left| b x + a \right|}\right)}{b^{3}} - \frac{a^{2}}{{\left(b x + a\right)} b^{3}}"," ",0,"x/b^2 - 2*a*log(abs(b*x + a))/b^3 - a^2/((b*x + a)*b^3)","A",0
225,1,24,0,0.153980," ","integrate(x^5/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b^{2}} + \frac{a}{{\left(b x + a\right)} b^{2}}"," ",0,"log(abs(b*x + a))/b^2 + a/((b*x + a)*b^2)","A",0
226,1,12,0,0.146145," ","integrate(x^4/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","-\frac{1}{{\left(b x + a\right)} b}"," ",0,"-1/((b*x + a)*b)","A",0
227,1,31,0,0.149920," ","integrate(x^3/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a^{2}} + \frac{\log\left({\left| x \right|}\right)}{a^{2}} + \frac{1}{{\left(b x + a\right)} a}"," ",0,"-log(abs(b*x + a))/a^2 + log(abs(x))/a^2 + 1/((b*x + a)*a)","A",0
228,1,45,0,0.154828," ","integrate(x^2/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","\frac{2 \, b \log\left({\left| b x + a \right|}\right)}{a^{3}} - \frac{2 \, b \log\left({\left| x \right|}\right)}{a^{3}} - \frac{2 \, b x + a}{{\left(b x^{2} + a x\right)} a^{2}}"," ",0,"2*b*log(abs(b*x + a))/a^3 - 2*b*log(abs(x))/a^3 - (2*b*x + a)/((b*x^2 + a*x)*a^2)","A",0
229,1,64,0,0.152075," ","integrate(x/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","-\frac{3 \, b^{2} \log\left({\left| b x + a \right|}\right)}{a^{4}} + \frac{3 \, b^{2} \log\left({\left| x \right|}\right)}{a^{4}} + \frac{6 \, a b^{2} x^{2} + 3 \, a^{2} b x - a^{3}}{2 \, {\left(b x + a\right)} a^{4} x^{2}}"," ",0,"-3*b^2*log(abs(b*x + a))/a^4 + 3*b^2*log(abs(x))/a^4 + 1/2*(6*a*b^2*x^2 + 3*a^2*b*x - a^3)/((b*x + a)*a^4*x^2)","A",0
230,1,73,0,0.147063," ","integrate(1/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","\frac{4 \, b^{3} \log\left({\left| b x + a \right|}\right)}{a^{5}} - \frac{4 \, b^{3} \log\left({\left| x \right|}\right)}{a^{5}} - \frac{12 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} - 2 \, a^{3} b x + a^{4}}{3 \, {\left(b x + a\right)} a^{5} x^{3}}"," ",0,"4*b^3*log(abs(b*x + a))/a^5 - 4*b^3*log(abs(x))/a^5 - 1/3*(12*a*b^3*x^3 + 6*a^2*b^2*x^2 - 2*a^3*b*x + a^4)/((b*x + a)*a^5*x^3)","A",0
231,1,86,0,0.152565," ","integrate(1/x/(b*x^3+a*x^2)^2,x, algorithm=""giac"")","-\frac{5 \, b^{4} \log\left({\left| b x + a \right|}\right)}{a^{6}} + \frac{5 \, b^{4} \log\left({\left| x \right|}\right)}{a^{6}} + \frac{60 \, a b^{4} x^{4} + 30 \, a^{2} b^{3} x^{3} - 10 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x - 3 \, a^{5}}{12 \, {\left(b x + a\right)} a^{6} x^{4}}"," ",0,"-5*b^4*log(abs(b*x + a))/a^6 + 5*b^4*log(abs(x))/a^6 + 1/12*(60*a*b^4*x^4 + 30*a^2*b^3*x^3 - 10*a^3*b^2*x^2 + 5*a^4*b*x - 3*a^5)/((b*x + a)*a^6*x^4)","A",0
232,1,131,0,0.162505," ","integrate(x^2*(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{32 \, a^{\frac{9}{2}} \mathrm{sgn}\left(x\right)}{315 \, b^{4}} + \frac{2 \, {\left(\frac{9 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a \mathrm{sgn}\left(x\right)}{b^{3}} + \frac{{\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} \mathrm{sgn}\left(x\right)}{b^{3}}\right)}}{315 \, b}"," ",0,"32/315*a^(9/2)*sgn(x)/b^4 + 2/315*(9*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a*sgn(x)/b^3 + (35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*sgn(x)/b^3)/b","A",0
233,1,108,0,0.157035," ","integrate(x*(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","-\frac{16 \, a^{\frac{7}{2}} \mathrm{sgn}\left(x\right)}{105 \, b^{3}} + \frac{2 \, {\left(\frac{7 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a \mathrm{sgn}\left(x\right)}{b^{2}} + \frac{3 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} \mathrm{sgn}\left(x\right)}{b^{2}}\right)}}{105 \, b}"," ",0,"-16/105*a^(7/2)*sgn(x)/b^3 + 2/105*(7*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a*sgn(x)/b^2 + 3*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*sgn(x)/b^2)/b","A",0
234,1,81,0,0.180430," ","integrate((b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{4 \, a^{\frac{5}{2}} \mathrm{sgn}\left(x\right)}{15 \, b^{2}} + \frac{2 \, {\left(\frac{5 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a \mathrm{sgn}\left(x\right)}{b} + \frac{{\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} \mathrm{sgn}\left(x\right)}{b}\right)}}{15 \, b}"," ",0,"4/15*a^(5/2)*sgn(x)/b^2 + 2/15*(5*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a*sgn(x)/b + (3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*sgn(x)/b)/b","A",0
235,1,50,0,0.154994," ","integrate((b*x^3+a*x^2)^(1/2)/x,x, algorithm=""giac"")","-\frac{2 \, a^{\frac{3}{2}} \mathrm{sgn}\left(x\right)}{3 \, b} + \frac{2 \, {\left(3 \, \sqrt{b x + a} a \mathrm{sgn}\left(x\right) + {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} \mathrm{sgn}\left(x\right)\right)}}{3 \, b}"," ",0,"-2/3*a^(3/2)*sgn(x)/b + 2/3*(3*sqrt(b*x + a)*a*sgn(x) + ((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*sgn(x))/b","B",0
236,1,67,0,0.164558," ","integrate((b*x^3+a*x^2)^(1/2)/x^2,x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a}} + 2 \, \sqrt{b x + a} \mathrm{sgn}\left(x\right) - \frac{2 \, {\left(a \arctan\left(\frac{\sqrt{a}}{\sqrt{-a}}\right) + \sqrt{-a} \sqrt{a}\right)} \mathrm{sgn}\left(x\right)}{\sqrt{-a}}"," ",0,"2*a*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/sqrt(-a) + 2*sqrt(b*x + a)*sgn(x) - 2*(a*arctan(sqrt(a)/sqrt(-a)) + sqrt(-a)*sqrt(a))*sgn(x)/sqrt(-a)","A",0
237,1,45,0,0.256927," ","integrate((b*x^3+a*x^2)^(1/2)/x^3,x, algorithm=""giac"")","\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a}} - \frac{\sqrt{b x + a} b \mathrm{sgn}\left(x\right)}{x}}{b}"," ",0,"(b^2*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/sqrt(-a) - sqrt(b*x + a)*b*sgn(x)/x)/b","A",0
238,1,72,0,0.209179," ","integrate((b*x^3+a*x^2)^(1/2)/x^4,x, algorithm=""giac"")","-\frac{\frac{b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a} a} + \frac{{\left(b x + a\right)}^{\frac{3}{2}} b^{3} \mathrm{sgn}\left(x\right) + \sqrt{b x + a} a b^{3} \mathrm{sgn}\left(x\right)}{a b^{2} x^{2}}}{4 \, b}"," ",0,"-1/4*(b^3*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/(sqrt(-a)*a) + ((b*x + a)^(3/2)*b^3*sgn(x) + sqrt(b*x + a)*a*b^3*sgn(x))/(a*b^2*x^2))/b","A",0
239,1,92,0,0.268095," ","integrate((b*x^3+a*x^2)^(1/2)/x^5,x, algorithm=""giac"")","\frac{\frac{3 \, b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a} a^{2}} + \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} \mathrm{sgn}\left(x\right) - 8 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} \mathrm{sgn}\left(x\right) - 3 \, \sqrt{b x + a} a^{2} b^{4} \mathrm{sgn}\left(x\right)}{a^{2} b^{3} x^{3}}}{24 \, b}"," ",0,"1/24*(3*b^4*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/(sqrt(-a)*a^2) + (3*(b*x + a)^(5/2)*b^4*sgn(x) - 8*(b*x + a)^(3/2)*a*b^4*sgn(x) - 3*sqrt(b*x + a)*a^2*b^4*sgn(x))/(a^2*b^3*x^3))/b","A",0
240,1,282,0,0.178655," ","integrate(x^2*(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\frac{512 \, a^{\frac{15}{2}} \mathrm{sgn}\left(x\right)}{45045 \, b^{6}} + \frac{2 \, {\left(\frac{65 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a^{2} \mathrm{sgn}\left(x\right)}{b^{5}} + \frac{30 \, {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)} a \mathrm{sgn}\left(x\right)}{b^{5}} + \frac{7 \, {\left(429 \, {\left(b x + a\right)}^{\frac{15}{2}} - 3465 \, {\left(b x + a\right)}^{\frac{13}{2}} a + 12285 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{2} - 25025 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{3} + 32175 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4} - 27027 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} + 15015 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6} - 6435 \, \sqrt{b x + a} a^{7}\right)} \mathrm{sgn}\left(x\right)}{b^{5}}\right)}}{45045 \, b}"," ",0,"512/45045*a^(15/2)*sgn(x)/b^6 + 2/45045*(65*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a^2*sgn(x)/b^5 + 30*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)*a*sgn(x)/b^5 + 7*(429*(b*x + a)^(15/2) - 3465*(b*x + a)^(13/2)*a + 12285*(b*x + a)^(11/2)*a^2 - 25025*(b*x + a)^(9/2)*a^3 + 32175*(b*x + a)^(7/2)*a^4 - 27027*(b*x + a)^(5/2)*a^5 + 15015*(b*x + a)^(3/2)*a^6 - 6435*sqrt(b*x + a)*a^7)*sgn(x)/b^5)/b","B",0
241,1,246,0,0.192632," ","integrate(x*(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","-\frac{256 \, a^{\frac{13}{2}} \mathrm{sgn}\left(x\right)}{15015 \, b^{5}} + \frac{2 \, {\left(\frac{143 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a^{2} \mathrm{sgn}\left(x\right)}{b^{4}} + \frac{130 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a \mathrm{sgn}\left(x\right)}{b^{4}} + \frac{15 \, {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)} \mathrm{sgn}\left(x\right)}{b^{4}}\right)}}{45045 \, b}"," ",0,"-256/15015*a^(13/2)*sgn(x)/b^5 + 2/45045*(143*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a^2*sgn(x)/b^4 + 130*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a*sgn(x)/b^4 + 15*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)*sgn(x)/b^4)/b","B",0
242,1,210,0,0.233580," ","integrate((b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\frac{32 \, a^{\frac{11}{2}} \mathrm{sgn}\left(x\right)}{1155 \, b^{4}} + \frac{2 \, {\left(\frac{99 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{2} \mathrm{sgn}\left(x\right)}{b^{3}} + \frac{22 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a \mathrm{sgn}\left(x\right)}{b^{3}} + \frac{5 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} \mathrm{sgn}\left(x\right)}{b^{3}}\right)}}{3465 \, b}"," ",0,"32/1155*a^(11/2)*sgn(x)/b^4 + 2/3465*(99*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^2*sgn(x)/b^3 + 22*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a*sgn(x)/b^3 + 5*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*sgn(x)/b^3)/b","B",0
243,1,173,0,0.238696," ","integrate((b*x^3+a*x^2)^(3/2)/x,x, algorithm=""giac"")","-\frac{16 \, a^{\frac{9}{2}} \mathrm{sgn}\left(x\right)}{315 \, b^{3}} + \frac{2 \, {\left(\frac{21 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{2} \mathrm{sgn}\left(x\right)}{b^{2}} + \frac{18 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a \mathrm{sgn}\left(x\right)}{b^{2}} + \frac{{\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} \mathrm{sgn}\left(x\right)}{b^{2}}\right)}}{315 \, b}"," ",0,"-16/315*a^(9/2)*sgn(x)/b^3 + 2/315*(21*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^2*sgn(x)/b^2 + 18*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a*sgn(x)/b^2 + (35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*sgn(x)/b^2)/b","B",0
244,1,136,0,0.180101," ","integrate((b*x^3+a*x^2)^(3/2)/x^2,x, algorithm=""giac"")","\frac{4 \, a^{\frac{7}{2}} \mathrm{sgn}\left(x\right)}{35 \, b^{2}} + \frac{2 \, {\left(\frac{35 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a^{2} \mathrm{sgn}\left(x\right)}{b} + \frac{14 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a \mathrm{sgn}\left(x\right)}{b} + \frac{3 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} \mathrm{sgn}\left(x\right)}{b}\right)}}{105 \, b}"," ",0,"4/35*a^(7/2)*sgn(x)/b^2 + 2/105*(35*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a^2*sgn(x)/b + 14*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a*sgn(x)/b + 3*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*sgn(x)/b)/b","B",0
245,1,89,0,0.161742," ","integrate((b*x^3+a*x^2)^(3/2)/x^3,x, algorithm=""giac"")","-\frac{2 \, a^{\frac{5}{2}} \mathrm{sgn}\left(x\right)}{5 \, b} + \frac{2 \, {\left(15 \, \sqrt{b x + a} a^{2} \mathrm{sgn}\left(x\right) + 10 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a \mathrm{sgn}\left(x\right) + {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} \mathrm{sgn}\left(x\right)\right)}}{15 \, b}"," ",0,"-2/5*a^(5/2)*sgn(x)/b + 2/15*(15*sqrt(b*x + a)*a^2*sgn(x) + 10*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a*sgn(x) + (3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*sgn(x))/b","B",0
246,1,85,0,0.174062," ","integrate((b*x^3+a*x^2)^(3/2)/x^4,x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a}} + \frac{2}{3} \, {\left(b x + a\right)}^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 2 \, \sqrt{b x + a} a \mathrm{sgn}\left(x\right) - \frac{2 \, {\left(3 \, a^{2} \arctan\left(\frac{\sqrt{a}}{\sqrt{-a}}\right) + 4 \, \sqrt{-a} a^{\frac{3}{2}}\right)} \mathrm{sgn}\left(x\right)}{3 \, \sqrt{-a}}"," ",0,"2*a^2*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/sqrt(-a) + 2/3*(b*x + a)^(3/2)*sgn(x) + 2*sqrt(b*x + a)*a*sgn(x) - 2/3*(3*a^2*arctan(sqrt(a)/sqrt(-a)) + 4*sqrt(-a)*a^(3/2))*sgn(x)/sqrt(-a)","A",0
247,1,62,0,0.207143," ","integrate((b*x^3+a*x^2)^(3/2)/x^5,x, algorithm=""giac"")","\frac{\frac{3 \, a b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a}} + 2 \, \sqrt{b x + a} b^{2} \mathrm{sgn}\left(x\right) - \frac{\sqrt{b x + a} a b \mathrm{sgn}\left(x\right)}{x}}{b}"," ",0,"(3*a*b^2*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/sqrt(-a) + 2*sqrt(b*x + a)*b^2*sgn(x) - sqrt(b*x + a)*a*b*sgn(x)/x)/b","A",0
248,1,70,0,0.264828," ","integrate((b*x^3+a*x^2)^(3/2)/x^6,x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a}} - \frac{5 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3} \mathrm{sgn}\left(x\right) - 3 \, \sqrt{b x + a} a b^{3} \mathrm{sgn}\left(x\right)}{b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*(3*b^3*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/sqrt(-a) - (5*(b*x + a)^(3/2)*b^3*sgn(x) - 3*sqrt(b*x + a)*a*b^3*sgn(x))/(b^2*x^2))/b","A",0
249,1,92,0,0.229496," ","integrate((b*x^3+a*x^2)^(3/2)/x^7,x, algorithm=""giac"")","-\frac{\frac{3 \, b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a} a} + \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} \mathrm{sgn}\left(x\right) + 8 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} \mathrm{sgn}\left(x\right) - 3 \, \sqrt{b x + a} a^{2} b^{4} \mathrm{sgn}\left(x\right)}{a b^{3} x^{3}}}{24 \, b}"," ",0,"-1/24*(3*b^4*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/(sqrt(-a)*a) + (3*(b*x + a)^(5/2)*b^4*sgn(x) + 8*(b*x + a)^(3/2)*a*b^4*sgn(x) - 3*sqrt(b*x + a)*a^2*b^4*sgn(x))/(a*b^3*x^3))/b","A",0
250,1,109,0,0.241091," ","integrate((b*x^3+a*x^2)^(3/2)/x^8,x, algorithm=""giac"")","\frac{\frac{3 \, b^{5} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a} a^{2}} + \frac{3 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{5} \mathrm{sgn}\left(x\right) - 11 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{5} \mathrm{sgn}\left(x\right) - 11 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{5} \mathrm{sgn}\left(x\right) + 3 \, \sqrt{b x + a} a^{3} b^{5} \mathrm{sgn}\left(x\right)}{a^{2} b^{4} x^{4}}}{64 \, b}"," ",0,"1/64*(3*b^5*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/(sqrt(-a)*a^2) + (3*(b*x + a)^(7/2)*b^5*sgn(x) - 11*(b*x + a)^(5/2)*a*b^5*sgn(x) - 11*(b*x + a)^(3/2)*a^2*b^5*sgn(x) + 3*sqrt(b*x + a)*a^3*b^5*sgn(x))/(a^2*b^4*x^4))/b","A",0
251,1,126,0,0.266523," ","integrate((b*x^3+a*x^2)^(3/2)/x^9,x, algorithm=""giac"")","-\frac{\frac{15 \, b^{6} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a} a^{3}} + \frac{15 \, {\left(b x + a\right)}^{\frac{9}{2}} b^{6} \mathrm{sgn}\left(x\right) - 70 \, {\left(b x + a\right)}^{\frac{7}{2}} a b^{6} \mathrm{sgn}\left(x\right) + 128 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} b^{6} \mathrm{sgn}\left(x\right) + 70 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{6} \mathrm{sgn}\left(x\right) - 15 \, \sqrt{b x + a} a^{4} b^{6} \mathrm{sgn}\left(x\right)}{a^{3} b^{5} x^{5}}}{640 \, b}"," ",0,"-1/640*(15*b^6*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/(sqrt(-a)*a^3) + (15*(b*x + a)^(9/2)*b^6*sgn(x) - 70*(b*x + a)^(7/2)*a*b^6*sgn(x) + 128*(b*x + a)^(5/2)*a^2*b^6*sgn(x) + 70*(b*x + a)^(3/2)*a^3*b^6*sgn(x) - 15*sqrt(b*x + a)*a^4*b^6*sgn(x))/(a^3*b^5*x^5))/b","A",0
252,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\sqrt{b x^{3} + a x^{2}}}\,{d x}"," ",0,"integrate(x^4/sqrt(b*x^3 + a*x^2), x)","F",0
253,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{b x^{3} + a x^{2}}}\,{d x}"," ",0,"integrate(x^3/sqrt(b*x^3 + a*x^2), x)","F",0
254,0,0,0,0.000000," ","integrate(x^2/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{b x^{3} + a x^{2}}}\,{d x}"," ",0,"integrate(x^2/sqrt(b*x^3 + a*x^2), x)","F",0
255,1,26,0,0.196978," ","integrate(x/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{2}{\sqrt{\frac{b}{x} + \frac{a}{x^{2}}} - \frac{\sqrt{a}}{x}}"," ",0,"2/(sqrt(b/x + a/x^2) - sqrt(a)/x)","A",0
256,1,45,0,0.159241," ","integrate(1/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\frac{\sqrt{a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a}} + \frac{2 \, \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} \mathrm{sgn}\left(x\right)}"," ",0,"-2*arctan(sqrt(a)/sqrt(-a))*sgn(x)/sqrt(-a) + 2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*sgn(x))","A",0
257,-2,0,0,0.000000," ","integrate(1/x/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,1]%%%},0,%%%{1,[0,2,2]%%%}] at parameters values [62.4600259969,-13,46]-1/a*sqrt(a*(1/x)^2+b/x)-2*b/4/a/sqrt(a)*ln(abs(2*sqrt(a)*(sqrt(a*(1/x)^2+b/x)-sqrt(a)/x)-b))","F(-2)",0
258,-2,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,1]%%%},0,%%%{1,[0,2,2]%%%}] at parameters values [62.4600259969,-13,46]2*(-4*a/16/a^2/x+6*b/16/a^2)*sqrt(a*(1/x)^2+b/x)+6*b^2/16/a^2/sqrt(a)*ln(abs(2*sqrt(a)*(sqrt(a*(1/x)^2+b/x)-sqrt(a)/x)-b))","F(-2)",0
259,-2,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,1]%%%},0,%%%{1,[0,2,2]%%%}] at parameters values [62.4600259969,-13,46]2*((-16*a^2/96/a^3/x+20*a*b/96/a^3)/x-30*b^2/96/a^3)*sqrt(a*(1/x)^2+b/x)-10*b^3/32/a^3/sqrt(a)*ln(abs(2*sqrt(a)*(sqrt(a*(1/x)^2+b/x)-sqrt(a)/x)-b))","F(-2)",0
260,0,0,0,0.000000," ","integrate(x^6/(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{x^{6}}{{\left(b x^{3} + a x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/(b*x^3 + a*x^2)^(3/2), x)","F",0
261,0,0,0,0.000000," ","integrate(x^5/(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{x^{5}}{{\left(b x^{3} + a x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^5/(b*x^3 + a*x^2)^(3/2), x)","F",0
262,1,28,0,0.279713," ","integrate(x^4/(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{1}{b} + \frac{2 \, a}{b^{2} x}\right)}}{\sqrt{\frac{b}{x} + \frac{a}{x^{2}}}}"," ",0,"2*(1/b + 2*a/(b^2*x))/sqrt(b/x + a/x^2)","A",0
263,1,37,0,0.226116," ","integrate(x^3/(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\frac{2}{{\left(\sqrt{a} {\left(\sqrt{\frac{b}{x} + \frac{a}{x^{2}}} - \frac{\sqrt{a}}{x}\right)} - b\right)} \sqrt{a}}"," ",0,"2/((sqrt(a)*(sqrt(b/x + a/x^2) - sqrt(a)/x) - b)*sqrt(a))","A",0
264,-2,0,0,0.000000," ","integrate(x^2/(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to divide, perhaps due to rounding error%%%{%%%{1,[1]%%%},[2,2]%%%}+%%%{%%{[-2,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,3]%%%}+%%%{1,[0,4]%%%} / %%%{%%%{1,[2]%%%},[2,0]%%%}+%%%{%%{[%%%{-2,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1]%%%}+%%%{%%%{1,[1]%%%},[0,2]%%%} Error: Bad Argument Value","F(-2)",0
265,-2,0,0,0.000000," ","integrate(x/(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,1]%%%},0,%%%{1,[0,2,2]%%%}] at parameters values [62.4600259969,-13,46]-4*a^2/4/a^4*sqrt(a*(1/x)^2+b/x)+2*(-b^2/a^2/(-a*(sqrt(a*(1/x)^2+b/x)-sqrt(a)/x)+sqrt(a)*b)-3*b/4/a^2/sqrt(a)*ln(abs(2*sqrt(a)*(sqrt(a*(1/x)^2+b/x)-sqrt(a)/x)-b)))","F(-2)",0
266,0,0,0,0.000000," ","integrate(1/(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
267,0,0,0,0.000000," ","integrate(1/x/(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{3} + a x^{2}\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((b*x^3 + a*x^2)^(3/2)*x), x)","F",0
268,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{3} + a x^{2}\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a*x^2)^(3/2)*x^2), x)","F",0
269,1,64,0,0.204358," ","integrate(x^(7/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{b x + a} {\left(2 \, x {\left(\frac{4 \, x}{b} - \frac{5 \, a}{b^{2}}\right)} + \frac{15 \, a^{2}}{b^{3}}\right)} \sqrt{x} + \frac{5 \, a^{3} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{8 \, b^{\frac{7}{2}}}"," ",0,"1/24*sqrt(b*x + a)*(2*x*(4*x/b - 5*a/b^2) + 15*a^2/b^3)*sqrt(x) + 5/8*a^3*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(7/2)","A",0
270,1,52,0,0.184588," ","integrate(x^(5/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{b x + a} \sqrt{x} {\left(\frac{2 \, x}{b} - \frac{3 \, a}{b^{2}}\right)} - \frac{3 \, a^{2} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{4 \, b^{\frac{5}{2}}}"," ",0,"1/4*sqrt(b*x + a)*sqrt(x)*(2*x/b - 3*a/b^2) - 3/4*a^2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(5/2)","A",0
271,1,38,0,0.177848," ","integrate(x^(3/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{a \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{3}{2}}} + \frac{\sqrt{b x + a} \sqrt{x}}{b}"," ",0,"a*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(3/2) + sqrt(b*x + a)*sqrt(x)/b","A",0
272,1,23,0,0.174933," ","integrate(x^(1/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{\sqrt{b}}"," ",0,"-2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/sqrt(b)","A",0
273,1,30,0,0.235888," ","integrate(1/x^(1/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{4 \, \sqrt{b}}{{\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a}"," ",0,"4*sqrt(b)/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)","A",0
274,1,55,0,0.214005," ","integrate(1/x^(3/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(3 \, {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)} b^{\frac{3}{2}}}{3 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{3}}"," ",0,"8/3*(3*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)*b^(3/2)/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^3","A",0
275,1,77,0,0.201585," ","integrate(1/x^(5/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{32 \, {\left(10 \, {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} - 5 \, a {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} + a^{2}\right)} b^{\frac{5}{2}}}{15 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{5}}"," ",0,"32/15*(10*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 - 5*a*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 + a^2)*b^(5/2)/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^5","A",0
276,1,103,0,0.211415," ","integrate(1/x^(7/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{64 \, {\left(35 \, {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{6} - 21 \, a {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} + 7 \, a^{2} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a^{3}\right)} b^{\frac{7}{2}}}{35 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{7}}"," ",0,"64/35*(35*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^6 - 21*a*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 + 7*a^2*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a^3)*b^(7/2)/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^7","A",0
277,0,0,0,0.000000," ","integrate(x^(1-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""giac"")","\int {\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n + 1}\,{d x}"," ",0,"integrate((b*x^3 + a*x^2)^n*x^(-3*n + 1), x)","F",0
278,0,0,0,0.000000," ","integrate((b*x^3+a*x^2)^n/(x^(3*n)),x, algorithm=""giac"")","\int \frac{{\left(b x^{3} + a x^{2}\right)}^{n}}{x^{3 \, n}}\,{d x}"," ",0,"integrate((b*x^3 + a*x^2)^n/x^(3*n), x)","F",0
279,0,0,0,0.000000," ","integrate(x^(-1-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""giac"")","\int {\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n - 1}\,{d x}"," ",0,"integrate((b*x^3 + a*x^2)^n*x^(-3*n - 1), x)","F",0
280,0,0,0,0.000000," ","integrate(x^(-2-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""giac"")","\int {\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n - 2}\,{d x}"," ",0,"integrate((b*x^3 + a*x^2)^n*x^(-3*n - 2), x)","F",0
281,0,0,0,0.000000," ","integrate(x^(-3-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""giac"")","\int {\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n - 3}\,{d x}"," ",0,"integrate((b*x^3 + a*x^2)^n*x^(-3*n - 3), x)","F",0
282,0,0,0,0.000000," ","integrate(x^(-4-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""giac"")","\int {\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n - 4}\,{d x}"," ",0,"integrate((b*x^3 + a*x^2)^n*x^(-3*n - 4), x)","F",0
283,1,22,0,0.176463," ","integrate(x^11/(b*x^5+a*x^2)^3,x, algorithm=""giac"")","-\frac{2 \, b x^{3} + a}{6 \, {\left(b x^{3} + a\right)}^{2} b^{2}}"," ",0,"-1/6*(2*b*x^3 + a)/((b*x^3 + a)^2*b^2)","A",0
284,0,0,0,0.000000," ","integrate(x^9/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{9}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^9/sqrt(b*x^5 + a*x^2), x)","F",0
285,0,0,0,0.000000," ","integrate(x^6/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{6}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^6/sqrt(b*x^5 + a*x^2), x)","F",0
286,0,0,0,0.000000," ","integrate(x^3/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^3/sqrt(b*x^5 + a*x^2), x)","F",0
287,1,47,0,0.190534," ","integrate(1/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\frac{\sqrt{a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{3 \, \sqrt{-a}} + \frac{2 \, \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{3 \, \sqrt{-a} \mathrm{sgn}\left(x\right)}"," ",0,"-2/3*arctan(sqrt(a)/sqrt(-a))*sgn(x)/sqrt(-a) + 2/3*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*sgn(x))","A",0
288,1,57,0,0.209858," ","integrate(1/x^3/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right)}{3 \, \sqrt{-a} a \mathrm{sgn}\left(x\right)} - \frac{\sqrt{\frac{b}{x} + \frac{a}{x^{4}}}}{3 \, a x \mathrm{sgn}\left(x\right)}"," ",0,"-1/3*b*arctan(sqrt(b*x^3 + a)/sqrt(-a))/(sqrt(-a)*a*sgn(x)) - 1/3*sqrt(b/x + a/x^4)/(a*x*sgn(x))","A",0
289,0,0,0,0.000000," ","integrate(x^4/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^4/sqrt(b*x^5 + a*x^2), x)","F",0
290,0,0,0,0.000000," ","integrate(x/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x/sqrt(b*x^5 + a*x^2), x)","F",0
291,0,0,0,0.000000," ","integrate(1/x^2/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{5} + a x^{2}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^5 + a*x^2)*x^2), x)","F",0
292,0,0,0,0.000000," ","integrate(x^5/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{5}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^5/sqrt(b*x^5 + a*x^2), x)","F",0
293,0,0,0,0.000000," ","integrate(x^2/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^2/sqrt(b*x^5 + a*x^2), x)","F",0
294,0,0,0,0.000000," ","integrate(1/x/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{5} + a x^{2}} x}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^5 + a*x^2)*x), x)","F",0
295,0,0,0,0.000000," ","integrate(x^(13/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{\frac{13}{2}}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^(13/2)/sqrt(b*x^5 + a*x^2), x)","F",0
296,0,0,0,0.000000," ","integrate(x^(11/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{\frac{11}{2}}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^(11/2)/sqrt(b*x^5 + a*x^2), x)","F",0
297,1,44,0,0.246416," ","integrate(x^(9/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b x^{3} + a} x^{\frac{3}{2}}}{3 \, b} + \frac{a \log\left({\left| -\sqrt{b} x^{\frac{3}{2}} + \sqrt{b x^{3} + a} \right|}\right)}{3 \, b^{\frac{3}{2}}}"," ",0,"1/3*sqrt(b*x^3 + a)*x^(3/2)/b + 1/3*a*log(abs(-sqrt(b)*x^(3/2) + sqrt(b*x^3 + a)))/b^(3/2)","A",0
298,0,0,0,0.000000," ","integrate(x^(7/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{\frac{7}{2}}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^(7/2)/sqrt(b*x^5 + a*x^2), x)","F",0
299,0,0,0,0.000000," ","integrate(x^(5/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{\frac{5}{2}}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(x^(5/2)/sqrt(b*x^5 + a*x^2), x)","F",0
300,1,41,0,0.200669," ","integrate(x^(3/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\frac{\sqrt{b + \frac{a}{x^{3}}}}{\sqrt{-b}}\right)}{3 \, \sqrt{-b}} + \frac{2 \, \arctan\left(\frac{\sqrt{b}}{\sqrt{-b}}\right)}{3 \, \sqrt{-b}}"," ",0,"-2/3*arctan(sqrt(b + a/x^3)/sqrt(-b))/sqrt(-b) + 2/3*arctan(sqrt(b)/sqrt(-b))/sqrt(-b)","A",0
301,0,0,0,0.000000," ","integrate(x^(1/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{x}}{\sqrt{b x^{5} + a x^{2}}}\,{d x}"," ",0,"integrate(sqrt(x)/sqrt(b*x^5 + a*x^2), x)","F",0
302,0,0,0,0.000000," ","integrate(1/x^(1/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{5} + a x^{2}} \sqrt{x}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^5 + a*x^2)*sqrt(x)), x)","F",0
303,1,23,0,0.204268," ","integrate(1/x^(3/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b + \frac{a}{x^{3}}}}{3 \, a} + \frac{2 \, \sqrt{b}}{3 \, a}"," ",0,"-2/3*sqrt(b + a/x^3)/a + 2/3*sqrt(b)/a","A",0
304,0,0,0,0.000000," ","integrate(1/x^(5/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{5} + a x^{2}} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^5 + a*x^2)*x^(5/2)), x)","F",0
305,0,0,0,0.000000," ","integrate(1/x^(7/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{5} + a x^{2}} x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^5 + a*x^2)*x^(7/2)), x)","F",0
306,1,38,0,0.232021," ","integrate(1/x^(9/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b + \frac{a}{x^{3}}\right)}^{\frac{3}{2}}}{9 \, a^{2}} + \frac{2 \, \sqrt{b + \frac{a}{x^{3}}} b}{3 \, a^{2}} - \frac{4 \, b^{\frac{3}{2}}}{9 \, a^{2}}"," ",0,"-2/9*(b + a/x^3)^(3/2)/a^2 + 2/3*sqrt(b + a/x^3)*b/a^2 - 4/9*b^(3/2)/a^2","A",0
307,0,0,0,0.000000," ","integrate(1/x^(11/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{5} + a x^{2}} x^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^5 + a*x^2)*x^(11/2)), x)","F",0
308,1,30,0,0.151324," ","integrate(x/(b*x^4+a*x^3),x, algorithm=""giac"")","\frac{b \log\left({\left| b x + a \right|}\right)}{a^{2}} - \frac{b \log\left({\left| x \right|}\right)}{a^{2}} - \frac{1}{a x}"," ",0,"b*log(abs(b*x + a))/a^2 - b*log(abs(x))/a^2 - 1/(a*x)","A",0
309,1,45,0,0.144211," ","integrate(1/(b*x^4+a*x^3),x, algorithm=""giac"")","-\frac{b^{2} \log\left({\left| b x + a \right|}\right)}{a^{3}} + \frac{b^{2} \log\left({\left| x \right|}\right)}{a^{3}} + \frac{2 \, a b x - a^{2}}{2 \, a^{3} x^{2}}"," ",0,"-b^2*log(abs(b*x + a))/a^3 + b^2*log(abs(x))/a^3 + 1/2*(2*a*b*x - a^2)/(a^3*x^2)","A",0
310,0,0,0,0.000000," ","integrate(x^4/(b*x^4+a*x^3)^(1/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\sqrt{b x^{4} + a x^{3}}}\,{d x}"," ",0,"integrate(x^4/sqrt(b*x^4 + a*x^3), x)","F",0
311,0,0,0,0.000000," ","integrate(x^3/(b*x^4+a*x^3)^(1/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{b x^{4} + a x^{3}}}\,{d x}"," ",0,"integrate(x^3/sqrt(b*x^4 + a*x^3), x)","F",0
312,1,48,0,0.230743," ","integrate(x^2/(b*x^4+a*x^3)^(1/2),x, algorithm=""giac"")","\frac{\frac{a \sqrt{b + \frac{a}{x}} x}{b} + \frac{a^{2} \arctan\left(\frac{\sqrt{b + \frac{a}{x}}}{\sqrt{-b}}\right)}{\sqrt{-b} b}}{a}"," ",0,"(a*sqrt(b + a/x)*x/b + a^2*arctan(sqrt(b + a/x)/sqrt(-b))/(sqrt(-b)*b))/a","A",0
313,1,23,0,0.281359," ","integrate(x/(b*x^4+a*x^3)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\frac{\sqrt{b + \frac{a}{x}}}{\sqrt{-b}}\right)}{\sqrt{-b}}"," ",0,"-2*arctan(sqrt(b + a/x)/sqrt(-b))/sqrt(-b)","A",0
314,1,27,0,0.206314," ","integrate(1/(b*x^4+a*x^3)^(1/2),x, algorithm=""giac"")","\frac{2}{{\left(\sqrt{b} x - \sqrt{b x^{2} + a x}\right)} \mathrm{sgn}\left(x\right)}"," ",0,"2/((sqrt(b)*x - sqrt(b*x^2 + a*x))*sgn(x))","A",0
315,1,27,0,0.230930," ","integrate(1/x/(b*x^4+a*x^3)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(b + \frac{a}{x}\right)}^{\frac{3}{2}} - 3 \, \sqrt{b + \frac{a}{x}} b\right)}}{3 \, a^{2}}"," ",0,"-2/3*((b + a/x)^(3/2) - 3*sqrt(b + a/x)*b)/a^2","A",0
316,1,43,0,0.239118," ","integrate(1/x^2/(b*x^4+a*x^3)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, {\left(b + \frac{a}{x}\right)}^{\frac{5}{2}} - 10 \, {\left(b + \frac{a}{x}\right)}^{\frac{3}{2}} b + 15 \, \sqrt{b + \frac{a}{x}} b^{2}\right)}}{15 \, a^{3}}"," ",0,"-2/15*(3*(b + a/x)^(5/2) - 10*(b + a/x)^(3/2)*b + 15*sqrt(b + a/x)*b^2)/a^3","A",0
317,1,57,0,0.267720," ","integrate(1/x^3/(b*x^4+a*x^3)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, {\left(b + \frac{a}{x}\right)}^{\frac{7}{2}} - 21 \, {\left(b + \frac{a}{x}\right)}^{\frac{5}{2}} b + 35 \, {\left(b + \frac{a}{x}\right)}^{\frac{3}{2}} b^{2} - 35 \, \sqrt{b + \frac{a}{x}} b^{3}\right)}}{35 \, a^{4}}"," ",0,"-2/35*(5*(b + a/x)^(7/2) - 21*(b + a/x)^(5/2)*b + 35*(b + a/x)^(3/2)*b^2 - 35*sqrt(b + a/x)*b^3)/a^4","A",0
318,1,71,0,0.233059," ","integrate(1/x^4/(b*x^4+a*x^3)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(35 \, {\left(b + \frac{a}{x}\right)}^{\frac{9}{2}} - 180 \, {\left(b + \frac{a}{x}\right)}^{\frac{7}{2}} b + 378 \, {\left(b + \frac{a}{x}\right)}^{\frac{5}{2}} b^{2} - 420 \, {\left(b + \frac{a}{x}\right)}^{\frac{3}{2}} b^{3} + 315 \, \sqrt{b + \frac{a}{x}} b^{4}\right)}}{315 \, a^{5}}"," ",0,"-2/315*(35*(b + a/x)^(9/2) - 180*(b + a/x)^(7/2)*b + 378*(b + a/x)^(5/2)*b^2 - 420*(b + a/x)^(3/2)*b^3 + 315*sqrt(b + a/x)*b^4)/a^5","A",0
319,1,32,0,0.146649," ","integrate(1/(b*x^5+x^3),x, algorithm=""giac"")","-\frac{1}{2} \, b \log\left(x^{2}\right) + \frac{1}{2} \, b \log\left({\left| b x^{2} + 1 \right|}\right) + \frac{b x^{2} - 1}{2 \, x^{2}}"," ",0,"-1/2*b*log(x^2) + 1/2*b*log(abs(b*x^2 + 1)) + 1/2*(b*x^2 - 1)/x^2","A",0
320,1,32,0,0.179855," ","integrate(1/(b*x^5-x^3),x, algorithm=""giac"")","-\frac{1}{2} \, b \log\left(x^{2}\right) + \frac{1}{2} \, b \log\left({\left| b x^{2} - 1 \right|}\right) + \frac{b x^{2} + 1}{2 \, x^{2}}"," ",0,"-1/2*b*log(x^2) + 1/2*b*log(abs(b*x^2 - 1)) + 1/2*(b*x^2 + 1)/x^2","A",0
321,1,15,0,0.148301," ","integrate(1/(a*x+b*x),x, algorithm=""giac"")","\frac{\log\left({\left| a x + b x \right|}\right)}{a + b}"," ",0,"log(abs(a*x + b*x))/(a + b)","A",0
322,1,16,0,0.145306," ","integrate(1/(a*x+b*x)^2,x, algorithm=""giac"")","-\frac{1}{{\left(a x + b x\right)} {\left(a + b\right)}}"," ",0,"-1/((a*x + b*x)*(a + b))","A",0
323,1,16,0,0.146908," ","integrate(1/(a*x+b*x)^3,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(a x + b x\right)}^{2} {\left(a + b\right)}}"," ",0,"-1/2/((a*x + b*x)^2*(a + b))","A",0
324,1,10,0,0.148128," ","integrate(1/(a*x^2+b*x^2),x, algorithm=""giac"")","-\frac{1}{{\left(a + b\right)} x}"," ",0,"-1/((a + b)*x)","A",0
325,0,0,0,0.000000," ","integrate(1/(a*x^n+b*x^n),x, algorithm=""giac"")","\int \frac{1}{a x^{n} + b x^{n}}\,{d x}"," ",0,"integrate(1/(a*x^n + b*x^n), x)","F",0
326,0,0,0,0.000000," ","integrate(1/(a*x^n+b*x^n)^2,x, algorithm=""giac"")","\int \frac{1}{{\left(a x^{n} + b x^{n}\right)}^{2}}\,{d x}"," ",0,"integrate((a*x^n + b*x^n)^(-2), x)","F",0
327,0,0,0,0.000000," ","integrate(1/(a*x^n+b*x^n)^3,x, algorithm=""giac"")","\int \frac{1}{{\left(a x^{n} + b x^{n}\right)}^{3}}\,{d x}"," ",0,"integrate((a*x^n + b*x^n)^(-3), x)","F",0
328,1,134,0,0.144601," ","integrate((b*x^14+a*x)^12,x, algorithm=""giac"")","\frac{1}{169} \, b^{12} x^{169} + \frac{1}{13} \, a b^{11} x^{156} + \frac{6}{13} \, a^{2} b^{10} x^{143} + \frac{22}{13} \, a^{3} b^{9} x^{130} + \frac{55}{13} \, a^{4} b^{8} x^{117} + \frac{99}{13} \, a^{5} b^{7} x^{104} + \frac{132}{13} \, a^{6} b^{6} x^{91} + \frac{132}{13} \, a^{7} b^{5} x^{78} + \frac{99}{13} \, a^{8} b^{4} x^{65} + \frac{55}{13} \, a^{9} b^{3} x^{52} + \frac{22}{13} \, a^{10} b^{2} x^{39} + \frac{6}{13} \, a^{11} b x^{26} + \frac{1}{13} \, a^{12} x^{13}"," ",0,"1/169*b^12*x^169 + 1/13*a*b^11*x^156 + 6/13*a^2*b^10*x^143 + 22/13*a^3*b^9*x^130 + 55/13*a^4*b^8*x^117 + 99/13*a^5*b^7*x^104 + 132/13*a^6*b^6*x^91 + 132/13*a^7*b^5*x^78 + 99/13*a^8*b^4*x^65 + 55/13*a^9*b^3*x^52 + 22/13*a^10*b^2*x^39 + 6/13*a^11*b*x^26 + 1/13*a^12*x^13","B",0
329,1,134,0,0.150769," ","integrate(x^12*(b*x^26+a*x)^12,x, algorithm=""giac"")","\frac{1}{325} \, b^{12} x^{325} + \frac{1}{25} \, a b^{11} x^{300} + \frac{6}{25} \, a^{2} b^{10} x^{275} + \frac{22}{25} \, a^{3} b^{9} x^{250} + \frac{11}{5} \, a^{4} b^{8} x^{225} + \frac{99}{25} \, a^{5} b^{7} x^{200} + \frac{132}{25} \, a^{6} b^{6} x^{175} + \frac{132}{25} \, a^{7} b^{5} x^{150} + \frac{99}{25} \, a^{8} b^{4} x^{125} + \frac{11}{5} \, a^{9} b^{3} x^{100} + \frac{22}{25} \, a^{10} b^{2} x^{75} + \frac{6}{25} \, a^{11} b x^{50} + \frac{1}{25} \, a^{12} x^{25}"," ",0,"1/325*b^12*x^325 + 1/25*a*b^11*x^300 + 6/25*a^2*b^10*x^275 + 22/25*a^3*b^9*x^250 + 11/5*a^4*b^8*x^225 + 99/25*a^5*b^7*x^200 + 132/25*a^6*b^6*x^175 + 132/25*a^7*b^5*x^150 + 99/25*a^8*b^4*x^125 + 11/5*a^9*b^3*x^100 + 22/25*a^10*b^2*x^75 + 6/25*a^11*b*x^50 + 1/25*a^12*x^25","B",0
330,1,134,0,0.149183," ","integrate(x^24*(b*x^38+a*x)^12,x, algorithm=""giac"")","\frac{1}{481} \, b^{12} x^{481} + \frac{1}{37} \, a b^{11} x^{444} + \frac{6}{37} \, a^{2} b^{10} x^{407} + \frac{22}{37} \, a^{3} b^{9} x^{370} + \frac{55}{37} \, a^{4} b^{8} x^{333} + \frac{99}{37} \, a^{5} b^{7} x^{296} + \frac{132}{37} \, a^{6} b^{6} x^{259} + \frac{132}{37} \, a^{7} b^{5} x^{222} + \frac{99}{37} \, a^{8} b^{4} x^{185} + \frac{55}{37} \, a^{9} b^{3} x^{148} + \frac{22}{37} \, a^{10} b^{2} x^{111} + \frac{6}{37} \, a^{11} b x^{74} + \frac{1}{37} \, a^{12} x^{37}"," ",0,"1/481*b^12*x^481 + 1/37*a*b^11*x^444 + 6/37*a^2*b^10*x^407 + 22/37*a^3*b^9*x^370 + 55/37*a^4*b^8*x^333 + 99/37*a^5*b^7*x^296 + 132/37*a^6*b^6*x^259 + 132/37*a^7*b^5*x^222 + 99/37*a^8*b^4*x^185 + 55/37*a^9*b^3*x^148 + 22/37*a^10*b^2*x^111 + 6/37*a^11*b*x^74 + 1/37*a^12*x^37","B",0
331,1,285,0,0.514685," ","integrate(x^(-12+12*m)*(a*x+b*x^(2+12*m))^12,x, algorithm=""giac"")","\frac{13 \, a^{12} x^{12} e^{\left(12 \, m \log\left(x\right) + 2 \, \log\left(x\right)\right)} + 78 \, a^{11} b x^{11} e^{\left(24 \, m \log\left(x\right) + 4 \, \log\left(x\right)\right)} + 286 \, a^{10} b^{2} x^{10} e^{\left(36 \, m \log\left(x\right) + 6 \, \log\left(x\right)\right)} + 715 \, a^{9} b^{3} x^{9} e^{\left(48 \, m \log\left(x\right) + 8 \, \log\left(x\right)\right)} + 1287 \, a^{8} b^{4} x^{8} e^{\left(60 \, m \log\left(x\right) + 10 \, \log\left(x\right)\right)} + 1716 \, a^{7} b^{5} x^{7} e^{\left(72 \, m \log\left(x\right) + 12 \, \log\left(x\right)\right)} + 1716 \, a^{6} b^{6} x^{6} e^{\left(84 \, m \log\left(x\right) + 14 \, \log\left(x\right)\right)} + 1287 \, a^{5} b^{7} x^{5} e^{\left(96 \, m \log\left(x\right) + 16 \, \log\left(x\right)\right)} + 715 \, a^{4} b^{8} x^{4} e^{\left(108 \, m \log\left(x\right) + 18 \, \log\left(x\right)\right)} + 286 \, a^{3} b^{9} x^{3} e^{\left(120 \, m \log\left(x\right) + 20 \, \log\left(x\right)\right)} + 78 \, a^{2} b^{10} x^{2} e^{\left(132 \, m \log\left(x\right) + 22 \, \log\left(x\right)\right)} + 13 \, a b^{11} x e^{\left(144 \, m \log\left(x\right) + 24 \, \log\left(x\right)\right)} + b^{12} e^{\left(156 \, m \log\left(x\right) + 26 \, \log\left(x\right)\right)}}{13 \, {\left(12 \, m x^{13} + x^{13}\right)}}"," ",0,"1/13*(13*a^12*x^12*e^(12*m*log(x) + 2*log(x)) + 78*a^11*b*x^11*e^(24*m*log(x) + 4*log(x)) + 286*a^10*b^2*x^10*e^(36*m*log(x) + 6*log(x)) + 715*a^9*b^3*x^9*e^(48*m*log(x) + 8*log(x)) + 1287*a^8*b^4*x^8*e^(60*m*log(x) + 10*log(x)) + 1716*a^7*b^5*x^7*e^(72*m*log(x) + 12*log(x)) + 1716*a^6*b^6*x^6*e^(84*m*log(x) + 14*log(x)) + 1287*a^5*b^7*x^5*e^(96*m*log(x) + 16*log(x)) + 715*a^4*b^8*x^4*e^(108*m*log(x) + 18*log(x)) + 286*a^3*b^9*x^3*e^(120*m*log(x) + 20*log(x)) + 78*a^2*b^10*x^2*e^(132*m*log(x) + 22*log(x)) + 13*a*b^11*x*e^(144*m*log(x) + 24*log(x)) + b^12*e^(156*m*log(x) + 26*log(x)))/(12*m*x^13 + x^13)","B",0
332,1,134,0,0.167087," ","integrate((b*x^14+a*x)^12,x, algorithm=""giac"")","\frac{1}{169} \, b^{12} x^{169} + \frac{1}{13} \, a b^{11} x^{156} + \frac{6}{13} \, a^{2} b^{10} x^{143} + \frac{22}{13} \, a^{3} b^{9} x^{130} + \frac{55}{13} \, a^{4} b^{8} x^{117} + \frac{99}{13} \, a^{5} b^{7} x^{104} + \frac{132}{13} \, a^{6} b^{6} x^{91} + \frac{132}{13} \, a^{7} b^{5} x^{78} + \frac{99}{13} \, a^{8} b^{4} x^{65} + \frac{55}{13} \, a^{9} b^{3} x^{52} + \frac{22}{13} \, a^{10} b^{2} x^{39} + \frac{6}{13} \, a^{11} b x^{26} + \frac{1}{13} \, a^{12} x^{13}"," ",0,"1/169*b^12*x^169 + 1/13*a*b^11*x^156 + 6/13*a^2*b^10*x^143 + 22/13*a^3*b^9*x^130 + 55/13*a^4*b^8*x^117 + 99/13*a^5*b^7*x^104 + 132/13*a^6*b^6*x^91 + 132/13*a^7*b^5*x^78 + 99/13*a^8*b^4*x^65 + 55/13*a^9*b^3*x^52 + 22/13*a^10*b^2*x^39 + 6/13*a^11*b*x^26 + 1/13*a^12*x^13","B",0
333,1,134,0,0.148299," ","integrate((b*x^27+a*x^2)^12,x, algorithm=""giac"")","\frac{1}{325} \, b^{12} x^{325} + \frac{1}{25} \, a b^{11} x^{300} + \frac{6}{25} \, a^{2} b^{10} x^{275} + \frac{22}{25} \, a^{3} b^{9} x^{250} + \frac{11}{5} \, a^{4} b^{8} x^{225} + \frac{99}{25} \, a^{5} b^{7} x^{200} + \frac{132}{25} \, a^{6} b^{6} x^{175} + \frac{132}{25} \, a^{7} b^{5} x^{150} + \frac{99}{25} \, a^{8} b^{4} x^{125} + \frac{11}{5} \, a^{9} b^{3} x^{100} + \frac{22}{25} \, a^{10} b^{2} x^{75} + \frac{6}{25} \, a^{11} b x^{50} + \frac{1}{25} \, a^{12} x^{25}"," ",0,"1/325*b^12*x^325 + 1/25*a*b^11*x^300 + 6/25*a^2*b^10*x^275 + 22/25*a^3*b^9*x^250 + 11/5*a^4*b^8*x^225 + 99/25*a^5*b^7*x^200 + 132/25*a^6*b^6*x^175 + 132/25*a^7*b^5*x^150 + 99/25*a^8*b^4*x^125 + 11/5*a^9*b^3*x^100 + 22/25*a^10*b^2*x^75 + 6/25*a^11*b*x^50 + 1/25*a^12*x^25","B",0
334,1,134,0,0.164050," ","integrate((b*x^40+a*x^3)^12,x, algorithm=""giac"")","\frac{1}{481} \, b^{12} x^{481} + \frac{1}{37} \, a b^{11} x^{444} + \frac{6}{37} \, a^{2} b^{10} x^{407} + \frac{22}{37} \, a^{3} b^{9} x^{370} + \frac{55}{37} \, a^{4} b^{8} x^{333} + \frac{99}{37} \, a^{5} b^{7} x^{296} + \frac{132}{37} \, a^{6} b^{6} x^{259} + \frac{132}{37} \, a^{7} b^{5} x^{222} + \frac{99}{37} \, a^{8} b^{4} x^{185} + \frac{55}{37} \, a^{9} b^{3} x^{148} + \frac{22}{37} \, a^{10} b^{2} x^{111} + \frac{6}{37} \, a^{11} b x^{74} + \frac{1}{37} \, a^{12} x^{37}"," ",0,"1/481*b^12*x^481 + 1/37*a*b^11*x^444 + 6/37*a^2*b^10*x^407 + 22/37*a^3*b^9*x^370 + 55/37*a^4*b^8*x^333 + 99/37*a^5*b^7*x^296 + 132/37*a^6*b^6*x^259 + 132/37*a^7*b^5*x^222 + 99/37*a^8*b^4*x^185 + 55/37*a^9*b^3*x^148 + 22/37*a^10*b^2*x^111 + 6/37*a^11*b*x^74 + 1/37*a^12*x^37","B",0
335,1,205,0,0.271403," ","integrate((a*x^m+b*x^(1+13*m))^12,x, algorithm=""giac"")","\frac{b^{12} x^{13} x^{156 \, m} + 13 \, a b^{11} x^{12} x^{144 \, m} + 78 \, a^{2} b^{10} x^{11} x^{132 \, m} + 286 \, a^{3} b^{9} x^{10} x^{120 \, m} + 715 \, a^{4} b^{8} x^{9} x^{108 \, m} + 1287 \, a^{5} b^{7} x^{8} x^{96 \, m} + 1716 \, a^{6} b^{6} x^{7} x^{84 \, m} + 1716 \, a^{7} b^{5} x^{6} x^{72 \, m} + 1287 \, a^{8} b^{4} x^{5} x^{60 \, m} + 715 \, a^{9} b^{3} x^{4} x^{48 \, m} + 286 \, a^{10} b^{2} x^{3} x^{36 \, m} + 78 \, a^{11} b x^{2} x^{24 \, m} + 13 \, a^{12} x x^{12 \, m}}{13 \, {\left(12 \, m + 1\right)}}"," ",0,"1/13*(b^12*x^13*x^(156*m) + 13*a*b^11*x^12*x^(144*m) + 78*a^2*b^10*x^11*x^(132*m) + 286*a^3*b^9*x^10*x^(120*m) + 715*a^4*b^8*x^9*x^(108*m) + 1287*a^5*b^7*x^8*x^(96*m) + 1716*a^6*b^6*x^7*x^(84*m) + 1716*a^7*b^5*x^6*x^(72*m) + 1287*a^8*b^4*x^5*x^(60*m) + 715*a^9*b^3*x^4*x^(48*m) + 286*a^10*b^2*x^3*x^(36*m) + 78*a^11*b*x^2*x^(24*m) + 13*a^12*x*x^(12*m))/(12*m + 1)","B",0
336,1,93,0,0.199054," ","integrate((a*x^m+b*x^(1+6*m))^5,x, algorithm=""giac"")","\frac{b^{5} x^{6} x^{30 \, m} + 6 \, a b^{4} x^{5} x^{25 \, m} + 15 \, a^{2} b^{3} x^{4} x^{20 \, m} + 20 \, a^{3} b^{2} x^{3} x^{15 \, m} + 15 \, a^{4} b x^{2} x^{10 \, m} + 6 \, a^{5} x x^{5 \, m}}{6 \, {\left(5 \, m + 1\right)}}"," ",0,"1/6*(b^5*x^6*x^(30*m) + 6*a*b^4*x^5*x^(25*m) + 15*a^2*b^3*x^4*x^(20*m) + 20*a^3*b^2*x^3*x^(15*m) + 15*a^4*b*x^2*x^(10*m) + 6*a^5*x*x^(5*m))/(5*m + 1)","B",0
337,0,0,0,0.000000," ","integrate(1/(b*x^(1-2*m)+a*x^m)^3,x, algorithm=""giac"")","\int \frac{1}{{\left(a x^{m} + b x^{-2 \, m + 1}\right)}^{3}}\,{d x}"," ",0,"integrate((a*x^m + b*x^(-2*m + 1))^(-3), x)","F",0
338,1,14,0,0.147346," ","integrate(1/(b/x+a*x),x, algorithm=""giac"")","\frac{\log\left({\left| a x^{2} + b \right|}\right)}{2 \, a}"," ",0,"1/2*log(abs(a*x^2 + b))/a","A",0
339,1,14,0,0.145212," ","integrate(1/(b/x^2+a*x),x, algorithm=""giac"")","\frac{\log\left({\left| a x^{3} + b \right|}\right)}{3 \, a}"," ",0,"1/3*log(abs(a*x^3 + b))/a","A",0
340,1,14,0,0.145865," ","integrate(1/(b/x^3+a*x),x, algorithm=""giac"")","\frac{\log\left({\left| a x^{4} + b \right|}\right)}{4 \, a}"," ",0,"1/4*log(abs(a*x^4 + b))/a","A",0
341,1,22,0,0.190895," ","integrate(1/(b/x+a*x)^3,x, algorithm=""giac"")","-\frac{2 \, a x^{2} + b}{4 \, {\left(a x^{2} + b\right)}^{2} a^{2}}"," ",0,"-1/4*(2*a*x^2 + b)/((a*x^2 + b)^2*a^2)","A",0
342,1,22,0,0.173442," ","integrate(1/(b/x^3+a*x^2)^3,x, algorithm=""giac"")","-\frac{2 \, a x^{5} + b}{10 \, {\left(a x^{5} + b\right)}^{2} a^{2}}"," ",0,"-1/10*(2*a*x^5 + b)/((a*x^5 + b)^2*a^2)","A",0
343,1,22,0,0.149786," ","integrate(1/(b/x^5+a*x^3)^3,x, algorithm=""giac"")","-\frac{2 \, a x^{8} + b}{16 \, {\left(a x^{8} + b\right)}^{2} a^{2}}"," ",0,"-1/16*(2*a*x^8 + b)/((a*x^8 + b)^2*a^2)","A",0
344,1,22,0,0.154251," ","integrate((a/x+b*x)^2,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} x^{3} + 2 \, a b x - \frac{a^{2}}{x}"," ",0,"1/3*b^2*x^3 + 2*a*b*x - a^2/x","A",0
345,1,46,0,0.168844," ","integrate((a/x+b*x)^3,x, algorithm=""giac"")","\frac{1}{4} \, b^{3} x^{4} + \frac{3}{2} \, a b^{2} x^{2} + \frac{3}{2} \, a^{2} b \log\left(x^{2}\right) - \frac{3 \, a^{2} b x^{2} + a^{3}}{2 \, x^{2}}"," ",0,"1/4*b^3*x^4 + 3/2*a*b^2*x^2 + 3/2*a^2*b*log(x^2) - 1/2*(3*a^2*b*x^2 + a^3)/x^2","A",0
346,1,45,0,0.149686," ","integrate((a/x+b*x)^4,x, algorithm=""giac"")","\frac{1}{5} \, b^{4} x^{5} + \frac{4}{3} \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x - \frac{12 \, a^{3} b x^{2} + a^{4}}{3 \, x^{3}}"," ",0,"1/5*b^4*x^5 + 4/3*a*b^3*x^3 + 6*a^2*b^2*x - 1/3*(12*a^3*b*x^2 + a^4)/x^3","A",0
347,1,112,0,0.181097," ","integrate(1/(1/x^2+x^3),x, algorithm=""giac"")","\frac{1}{20} \, {\left(\sqrt{5} - 1\right)} \log\left(x^{2} - \frac{1}{2} \, x {\left(\sqrt{5} + 1\right)} + 1\right) - \frac{1}{20} \, {\left(\sqrt{5} + 1\right)} \log\left(x^{2} + \frac{1}{2} \, x {\left(\sqrt{5} - 1\right)} + 1\right) - \frac{1}{10} \, \sqrt{-2 \, \sqrt{5} + 10} \arctan\left(\frac{4 \, x + \sqrt{5} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right) + \frac{1}{10} \, \sqrt{2 \, \sqrt{5} + 10} \arctan\left(\frac{4 \, x - \sqrt{5} - 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right) + \frac{1}{5} \, \log\left({\left| x + 1 \right|}\right)"," ",0,"1/20*(sqrt(5) - 1)*log(x^2 - 1/2*x*(sqrt(5) + 1) + 1) - 1/20*(sqrt(5) + 1)*log(x^2 + 1/2*x*(sqrt(5) - 1) + 1) - 1/10*sqrt(-2*sqrt(5) + 10)*arctan((4*x + sqrt(5) - 1)/sqrt(2*sqrt(5) + 10)) + 1/10*sqrt(2*sqrt(5) + 10)*arctan((4*x - sqrt(5) - 1)/sqrt(-2*sqrt(5) + 10)) + 1/5*log(abs(x + 1))","A",0
348,1,269,0,2.472422," ","integrate(x^p*(a*x^n+b*x^(1+13*n+p))^12,x, algorithm=""giac"")","\frac{b^{12} x^{13} x^{156 \, n} x^{13 \, p} + 13 \, a b^{11} x^{12} x^{144 \, n} x^{12 \, p} + 78 \, a^{2} b^{10} x^{11} x^{132 \, n} x^{11 \, p} + 286 \, a^{3} b^{9} x^{10} x^{120 \, n} x^{10 \, p} + 715 \, a^{4} b^{8} x^{9} x^{108 \, n} x^{9 \, p} + 1287 \, a^{5} b^{7} x^{8} x^{96 \, n} x^{8 \, p} + 1716 \, a^{6} b^{6} x^{7} x^{84 \, n} x^{7 \, p} + 1716 \, a^{7} b^{5} x^{6} x^{72 \, n} x^{6 \, p} + 1287 \, a^{8} b^{4} x^{5} x^{60 \, n} x^{5 \, p} + 715 \, a^{9} b^{3} x^{4} x^{48 \, n} x^{4 \, p} + 286 \, a^{10} b^{2} x^{3} x^{36 \, n} x^{3 \, p} + 78 \, a^{11} b x^{2} x^{24 \, n} x^{2 \, p} + 13 \, a^{12} x x^{12 \, n} x^{p}}{13 \, {\left(12 \, n + p + 1\right)}}"," ",0,"1/13*(b^12*x^13*x^(156*n)*x^(13*p) + 13*a*b^11*x^12*x^(144*n)*x^(12*p) + 78*a^2*b^10*x^11*x^(132*n)*x^(11*p) + 286*a^3*b^9*x^10*x^(120*n)*x^(10*p) + 715*a^4*b^8*x^9*x^(108*n)*x^(9*p) + 1287*a^5*b^7*x^8*x^(96*n)*x^(8*p) + 1716*a^6*b^6*x^7*x^(84*n)*x^(7*p) + 1716*a^7*b^5*x^6*x^(72*n)*x^(6*p) + 1287*a^8*b^4*x^5*x^(60*n)*x^(5*p) + 715*a^9*b^3*x^4*x^(48*n)*x^(4*p) + 286*a^10*b^2*x^3*x^(36*n)*x^(3*p) + 78*a^11*b*x^2*x^(24*n)*x^(2*p) + 13*a^12*x*x^(12*n)*x^p)/(12*n + p + 1)","B",0
349,1,14,0,0.149705," ","integrate(x^12*(b*x^13+a)^12,x, algorithm=""giac"")","\frac{{\left(b x^{13} + a\right)}^{13}}{169 \, b}"," ",0,"1/169*(b*x^13 + a)^13/b","A",0
350,1,134,0,0.155165," ","integrate(x^12*(b*x^26+a*x)^12,x, algorithm=""giac"")","\frac{1}{325} \, b^{12} x^{325} + \frac{1}{25} \, a b^{11} x^{300} + \frac{6}{25} \, a^{2} b^{10} x^{275} + \frac{22}{25} \, a^{3} b^{9} x^{250} + \frac{11}{5} \, a^{4} b^{8} x^{225} + \frac{99}{25} \, a^{5} b^{7} x^{200} + \frac{132}{25} \, a^{6} b^{6} x^{175} + \frac{132}{25} \, a^{7} b^{5} x^{150} + \frac{99}{25} \, a^{8} b^{4} x^{125} + \frac{11}{5} \, a^{9} b^{3} x^{100} + \frac{22}{25} \, a^{10} b^{2} x^{75} + \frac{6}{25} \, a^{11} b x^{50} + \frac{1}{25} \, a^{12} x^{25}"," ",0,"1/325*b^12*x^325 + 1/25*a*b^11*x^300 + 6/25*a^2*b^10*x^275 + 22/25*a^3*b^9*x^250 + 11/5*a^4*b^8*x^225 + 99/25*a^5*b^7*x^200 + 132/25*a^6*b^6*x^175 + 132/25*a^7*b^5*x^150 + 99/25*a^8*b^4*x^125 + 11/5*a^9*b^3*x^100 + 22/25*a^10*b^2*x^75 + 6/25*a^11*b*x^50 + 1/25*a^12*x^25","B",0
351,1,134,0,0.152929," ","integrate(x^12*(b*x^39+a*x^2)^12,x, algorithm=""giac"")","\frac{1}{481} \, b^{12} x^{481} + \frac{1}{37} \, a b^{11} x^{444} + \frac{6}{37} \, a^{2} b^{10} x^{407} + \frac{22}{37} \, a^{3} b^{9} x^{370} + \frac{55}{37} \, a^{4} b^{8} x^{333} + \frac{99}{37} \, a^{5} b^{7} x^{296} + \frac{132}{37} \, a^{6} b^{6} x^{259} + \frac{132}{37} \, a^{7} b^{5} x^{222} + \frac{99}{37} \, a^{8} b^{4} x^{185} + \frac{55}{37} \, a^{9} b^{3} x^{148} + \frac{22}{37} \, a^{10} b^{2} x^{111} + \frac{6}{37} \, a^{11} b x^{74} + \frac{1}{37} \, a^{12} x^{37}"," ",0,"1/481*b^12*x^481 + 1/37*a*b^11*x^444 + 6/37*a^2*b^10*x^407 + 22/37*a^3*b^9*x^370 + 55/37*a^4*b^8*x^333 + 99/37*a^5*b^7*x^296 + 132/37*a^6*b^6*x^259 + 132/37*a^7*b^5*x^222 + 99/37*a^8*b^4*x^185 + 55/37*a^9*b^3*x^148 + 22/37*a^10*b^2*x^111 + 6/37*a^11*b*x^74 + 1/37*a^12*x^37","B",0
352,1,14,0,0.146977," ","integrate(x^24*(b*x^25+a)^12,x, algorithm=""giac"")","\frac{{\left(b x^{25} + a\right)}^{13}}{325 \, b}"," ",0,"1/325*(b*x^25 + a)^13/b","A",0
353,1,134,0,0.214084," ","integrate(x^24*(b*x^38+a*x)^12,x, algorithm=""giac"")","\frac{1}{481} \, b^{12} x^{481} + \frac{1}{37} \, a b^{11} x^{444} + \frac{6}{37} \, a^{2} b^{10} x^{407} + \frac{22}{37} \, a^{3} b^{9} x^{370} + \frac{55}{37} \, a^{4} b^{8} x^{333} + \frac{99}{37} \, a^{5} b^{7} x^{296} + \frac{132}{37} \, a^{6} b^{6} x^{259} + \frac{132}{37} \, a^{7} b^{5} x^{222} + \frac{99}{37} \, a^{8} b^{4} x^{185} + \frac{55}{37} \, a^{9} b^{3} x^{148} + \frac{22}{37} \, a^{10} b^{2} x^{111} + \frac{6}{37} \, a^{11} b x^{74} + \frac{1}{37} \, a^{12} x^{37}"," ",0,"1/481*b^12*x^481 + 1/37*a*b^11*x^444 + 6/37*a^2*b^10*x^407 + 22/37*a^3*b^9*x^370 + 55/37*a^4*b^8*x^333 + 99/37*a^5*b^7*x^296 + 132/37*a^6*b^6*x^259 + 132/37*a^7*b^5*x^222 + 99/37*a^8*b^4*x^185 + 55/37*a^9*b^3*x^148 + 22/37*a^10*b^2*x^111 + 6/37*a^11*b*x^74 + 1/37*a^12*x^37","B",0
354,1,14,0,0.152709," ","integrate(x^36*(b*x^37+a)^12,x, algorithm=""giac"")","\frac{{\left(b x^{37} + a\right)}^{13}}{481 \, b}"," ",0,"1/481*(b*x^37 + a)^13/b","A",0
355,0,0,0,0.000000," ","integrate(1/(a*x+b*x^n),x, algorithm=""giac"")","\int \frac{1}{a x + b x^{n}}\,{d x}"," ",0,"integrate(1/(a*x + b*x^n), x)","F",0
356,0,0,0,0.000000," ","integrate(1/(a*x+b*x^(1+n)),x, algorithm=""giac"")","\int \frac{1}{a x + b x^{n + 1}}\,{d x}"," ",0,"integrate(1/(a*x + b*x^(n + 1)), x)","F",0
357,0,0,0,0.000000," ","integrate(1/(a*x+b*x^(1-n)),x, algorithm=""giac"")","\int \frac{1}{a x + b x^{-n + 1}}\,{d x}"," ",0,"integrate(1/(a*x + b*x^(-n + 1)), x)","F",0
358,0,0,0,0.000000," ","integrate(1/(2*x+3*x^(1+n)),x, algorithm=""giac"")","\int \frac{1}{3 \, x^{n + 1} + 2 \, x}\,{d x}"," ",0,"integrate(1/(3*x^(n + 1) + 2*x), x)","F",0
359,0,0,0,0.000000," ","integrate(1/(2*x+3*x^(1-n)),x, algorithm=""giac"")","\int \frac{1}{3 \, x^{-n + 1} + 2 \, x}\,{d x}"," ",0,"integrate(1/(3*x^(-n + 1) + 2*x), x)","F",0
360,1,9,0,0.152809," ","integrate(1/(x-x^(1/2)),x, algorithm=""giac"")","2 \, \log\left({\left| \sqrt{x} - 1 \right|}\right)"," ",0,"2*log(abs(sqrt(x) - 1))","A",0
361,1,18,0,0.198162," ","integrate(1/(-x^(3/5)+x),x, algorithm=""giac"")","\frac{5}{2} \, \log\left(x^{\frac{1}{5}} + 1\right) + \frac{5}{2} \, \log\left({\left| x^{\frac{1}{5}} - 1 \right|}\right)"," ",0,"5/2*log(x^(1/5) + 1) + 5/2*log(abs(x^(1/5) - 1))","A",0
362,1,32,0,0.152148," ","integrate(1/(1/x^(1/3)+x),x, algorithm=""giac"")","\frac{3}{4} \, \log\left(\sqrt{2} x^{\frac{1}{3}} + x^{\frac{2}{3}} + 1\right) + \frac{3}{4} \, \log\left(-\sqrt{2} x^{\frac{1}{3}} + x^{\frac{2}{3}} + 1\right)"," ",0,"3/4*log(sqrt(2)*x^(1/3) + x^(2/3) + 1) + 3/4*log(-sqrt(2)*x^(1/3) + x^(2/3) + 1)","B",0
363,0,0,0,0.000000," ","integrate(1/(x+x^(2^(1/2))),x, algorithm=""giac"")","\int \frac{1}{x + x^{\left(\sqrt{2}\right)}}\,{d x}"," ",0,"integrate(1/(x + x^sqrt(2)), x)","F",0
364,0,0,0,0.000000," ","integrate(x^(-1-1/2*j)*(a*x^j+b*x^n)^(1/2),x, algorithm=""giac"")","\int \sqrt{a x^{j} + b x^{n}} x^{-\frac{1}{2} \, j - 1}\,{d x}"," ",0,"integrate(sqrt(a*x^j + b*x^n)*x^(-1/2*j - 1), 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, algorithm=""giac"")","\int \sqrt{a x^{j} + b x^{n}} \left(c x\right)^{-\frac{1}{2} \, j - 1}\,{d x}"," ",0,"integrate(sqrt(a*x^j + b*x^n)*(c*x)^(-1/2*j - 1), x)","F",0
366,0,0,0,0.000000," ","integrate((a*x^3+b*x^n)^(1/2)/(c*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{a x^{3} + b x^{n}}}{\left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{\sqrt{a x^{2} + b x^{n}}}{c^{2} x^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + b*x^n)/(c^2*x^2), x)","F",0
368,0,0,0,0.000000," ","integrate((a*x+b*x^n)^(1/2)/(c*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{a x + b x^{n}}}{\left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(a*x + b*x^n)/(c*x)^(3/2), x)","F",0
369,0,0,0,0.000000," ","integrate((a+b*x^n)^(1/2)/c/x,x, algorithm=""giac"")","\int \frac{\sqrt{b x^{n} + a}}{c x}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)/(c*x), x)","F",0
370,0,0,0,0.000000," ","integrate((a/x+b*x^n)^(1/2)/(c*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{b x^{n} + \frac{a}{x}}}{\sqrt{c x}}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a/x)/sqrt(c*x), x)","F",0
371,0,0,0,0.000000," ","integrate((a/x^2+b*x^n)^(1/2),x, algorithm=""giac"")","\int \sqrt{b x^{n} + \frac{a}{x^{2}}}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a/x^2), x)","F",0
372,0,0,0,0.000000," ","integrate((c*x)^(1/2)*(a/x^3+b*x^n)^(1/2),x, algorithm=""giac"")","\int \sqrt{b x^{n} + \frac{a}{x^{3}}} \sqrt{c x}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a/x^3)*sqrt(c*x), x)","F",0
373,0,0,0,0.000000," ","integrate((c*x)^(-1-3/2*j)*(a*x^j+b*x^n)^(3/2),x, algorithm=""giac"")","\int {\left(a x^{j} + b x^{n}\right)}^{\frac{3}{2}} \left(c x\right)^{-\frac{3}{2} \, j - 1}\,{d x}"," ",0,"integrate((a*x^j + b*x^n)^(3/2)*(c*x)^(-3/2*j - 1), x)","F",0
374,0,0,0,0.000000," ","integrate((a*x^3+b*x^n)^(3/2)/(c*x)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(a x^{3} + b x^{n}\right)}^{\frac{3}{2}}}{\left(c x\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((a*x^3 + b*x^n)^(3/2)/(c*x)^(11/2), x)","F",0
375,0,0,0,0.000000," ","integrate((a*x^2+b*x^n)^(3/2)/c^4/x^4,x, algorithm=""giac"")","\int \frac{{\left(a x^{2} + b x^{n}\right)}^{\frac{3}{2}}}{c^{4} x^{4}}\,{d x}"," ",0,"integrate((a*x^2 + b*x^n)^(3/2)/(c^4*x^4), x)","F",0
376,0,0,0,0.000000," ","integrate((a*x+b*x^n)^(3/2)/(c*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(a x + b x^{n}\right)}^{\frac{3}{2}}}{\left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*x + b*x^n)^(3/2)/(c*x)^(5/2), x)","F",0
377,0,0,0,0.000000," ","integrate((a+b*x^n)^(3/2)/c/x,x, algorithm=""giac"")","\int \frac{{\left(b x^{n} + a\right)}^{\frac{3}{2}}}{c x}\,{d x}"," ",0,"integrate((b*x^n + a)^(3/2)/(c*x), x)","F",0
378,0,0,0,0.000000," ","integrate((c*x)^(1/2)*(a/x+b*x^n)^(3/2),x, algorithm=""giac"")","\int {\left(b x^{n} + \frac{a}{x}\right)}^{\frac{3}{2}} \sqrt{c x}\,{d x}"," ",0,"integrate((b*x^n + a/x)^(3/2)*sqrt(c*x), x)","F",0
379,0,0,0,0.000000," ","integrate(c^2*x^2*(a/x^2+b*x^n)^(3/2),x, algorithm=""giac"")","\int {\left(b x^{n} + \frac{a}{x^{2}}\right)}^{\frac{3}{2}} c^{2} x^{2}\,{d x}"," ",0,"integrate((b*x^n + a/x^2)^(3/2)*c^2*x^2, x)","F",0
380,0,0,0,0.000000," ","integrate((c*x)^(7/2)*(a/x^3+b*x^n)^(3/2),x, algorithm=""giac"")","\int {\left(b x^{n} + \frac{a}{x^{3}}\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*x^n + a/x^3)^(3/2)*(c*x)^(7/2), x)","F",0
381,0,0,0,0.000000," ","integrate(c^5*x^5*(a/x^4+b*x^n)^(3/2),x, algorithm=""giac"")","\int {\left(b x^{n} + \frac{a}{x^{4}}\right)}^{\frac{3}{2}} c^{5} x^{5}\,{d x}"," ",0,"integrate((b*x^n + a/x^4)^(3/2)*c^5*x^5, x)","F",0
382,1,67,0,0.162050," ","integrate(((b*x+a)/x^2)^(1/2),x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a}} + 2 \, \sqrt{b x + a} \mathrm{sgn}\left(x\right) - \frac{2 \, {\left(a \arctan\left(\frac{\sqrt{a}}{\sqrt{-a}}\right) + \sqrt{-a} \sqrt{a}\right)} \mathrm{sgn}\left(x\right)}{\sqrt{-a}}"," ",0,"2*a*arctan(sqrt(b*x + a)/sqrt(-a))*sgn(x)/sqrt(-a) + 2*sqrt(b*x + a)*sgn(x) - 2*(a*arctan(sqrt(a)/sqrt(-a)) + sqrt(-a)*sqrt(a))*sgn(x)/sqrt(-a)","A",0
383,1,69,0,0.168903," ","integrate(((b*x^2+a)/x^2)^(1/2),x, algorithm=""giac"")","\frac{a \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-a}} + \sqrt{b x^{2} + a} \mathrm{sgn}\left(x\right) - \frac{{\left(a \arctan\left(\frac{\sqrt{a}}{\sqrt{-a}}\right) + \sqrt{-a} \sqrt{a}\right)} \mathrm{sgn}\left(x\right)}{\sqrt{-a}}"," ",0,"a*arctan(sqrt(b*x^2 + a)/sqrt(-a))*sgn(x)/sqrt(-a) + sqrt(b*x^2 + a)*sgn(x) - (a*arctan(sqrt(a)/sqrt(-a)) + sqrt(-a)*sqrt(a))*sgn(x)/sqrt(-a)","B",0
384,1,71,0,0.191037," ","integrate(((b*x^3+a)/x^2)^(1/2),x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{\sqrt{b x^{3} + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(x\right)}{3 \, \sqrt{-a}} + \frac{2}{3} \, \sqrt{b x^{3} + a} \mathrm{sgn}\left(x\right) - \frac{2 \, {\left(a \arctan\left(\frac{\sqrt{a}}{\sqrt{-a}}\right) + \sqrt{-a} \sqrt{a}\right)} \mathrm{sgn}\left(x\right)}{3 \, \sqrt{-a}}"," ",0,"2/3*a*arctan(sqrt(b*x^3 + a)/sqrt(-a))*sgn(x)/sqrt(-a) + 2/3*sqrt(b*x^3 + a)*sgn(x) - 2/3*(a*arctan(sqrt(a)/sqrt(-a)) + sqrt(-a)*sqrt(a))*sgn(x)/sqrt(-a)","A",0
385,0,0,0,0.000000," ","integrate(((a+b*x^n)/x^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{\frac{b x^{n} + a}{x^{2}}}\,{d x}"," ",0,"integrate(sqrt((b*x^n + a)/x^2), x)","F",0
386,1,61,0,0.158520," ","integrate(((b*x-a)/x^2)^(1/2),x, algorithm=""giac"")","-2 \, \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) \mathrm{sgn}\left(x\right) + 2 \, {\left(\sqrt{a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{a}}\right) - \sqrt{-a}\right)} \mathrm{sgn}\left(x\right) + 2 \, \sqrt{b x - a} \mathrm{sgn}\left(x\right)"," ",0,"-2*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a))*sgn(x) + 2*(sqrt(a)*arctan(sqrt(-a)/sqrt(a)) - sqrt(-a))*sgn(x) + 2*sqrt(b*x - a)*sgn(x)","A",0
387,1,63,0,0.239772," ","integrate(((b*x^2-a)/x^2)^(1/2),x, algorithm=""giac"")","-\sqrt{a} \arctan\left(\frac{\sqrt{b x^{2} - a}}{\sqrt{a}}\right) \mathrm{sgn}\left(x\right) + {\left(\sqrt{a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{a}}\right) - \sqrt{-a}\right)} \mathrm{sgn}\left(x\right) + \sqrt{b x^{2} - a} \mathrm{sgn}\left(x\right)"," ",0,"-sqrt(a)*arctan(sqrt(b*x^2 - a)/sqrt(a))*sgn(x) + (sqrt(a)*arctan(sqrt(-a)/sqrt(a)) - sqrt(-a))*sgn(x) + sqrt(b*x^2 - a)*sgn(x)","A",0
388,1,65,0,0.189317," ","integrate(((b*x^3-a)/x^2)^(1/2),x, algorithm=""giac"")","-\frac{2}{3} \, \sqrt{a} \arctan\left(\frac{\sqrt{b x^{3} - a}}{\sqrt{a}}\right) \mathrm{sgn}\left(x\right) + \frac{2}{3} \, {\left(\sqrt{a} \arctan\left(\frac{\sqrt{-a}}{\sqrt{a}}\right) - \sqrt{-a}\right)} \mathrm{sgn}\left(x\right) + \frac{2}{3} \, \sqrt{b x^{3} - a} \mathrm{sgn}\left(x\right)"," ",0,"-2/3*sqrt(a)*arctan(sqrt(b*x^3 - a)/sqrt(a))*sgn(x) + 2/3*(sqrt(a)*arctan(sqrt(-a)/sqrt(a)) - sqrt(-a))*sgn(x) + 2/3*sqrt(b*x^3 - a)*sgn(x)","A",0
389,0,0,0,0.000000," ","integrate(((-a+b*x^n)/x^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{\frac{b x^{n} - a}{x^{2}}}\,{d x}"," ",0,"integrate(sqrt((b*x^n - a)/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, algorithm=""giac"")","\int \frac{\left(c x\right)^{\frac{1}{2} \, j - 1}}{\sqrt{a x^{j} + b x^{n}}}\,{d x}"," ",0,"integrate((c*x)^(1/2*j - 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, algorithm=""giac"")","\int \frac{\sqrt{c x}}{\sqrt{a x^{3} + b x^{n}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{1}{\sqrt{a x^{2} + b x^{n}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{1}{\sqrt{a x + b x^{n}} \sqrt{c x}}\,{d x}"," ",0,"integrate(1/(sqrt(a*x + b*x^n)*sqrt(c*x)), x)","F",0
394,0,0,0,0.000000," ","integrate(1/c/x/(a+b*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{n} + a} c x}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^n + a)*c*x), x)","F",0
395,0,0,0,0.000000," ","integrate(1/(c*x)^(3/2)/(a/x+b*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{n} + \frac{a}{x}} \left(c x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^n + a/x)*(c*x)^(3/2)), x)","F",0
396,0,0,0,0.000000," ","integrate(1/c^2/x^2/(a/x^2+b*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{n} + \frac{a}{x^{2}}} c^{2} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^n + a/x^2)*c^2*x^2), x)","F",0
397,0,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(a/x^3+b*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{n} + \frac{a}{x^{3}}} \left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^n + a/x^3)*(c*x)^(5/2)), x)","F",0
398,0,0,0,0.000000," ","integrate((c*x)^(-1+3/2*j)/(a*x^j+b*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{\left(c x\right)^{\frac{3}{2} \, j - 1}}{{\left(a x^{j} + b x^{n}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x)^(3/2*j - 1)/(a*x^j + b*x^n)^(3/2), x)","F",0
399,0,0,0,0.000000," ","integrate((c*x)^(7/2)/(a*x^3+b*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{\left(c x\right)^{\frac{7}{2}}}{{\left(a x^{3} + b x^{n}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x)^(7/2)/(a*x^3 + b*x^n)^(3/2), x)","F",0
400,0,0,0,0.000000," ","integrate(c^2*x^2/(a*x^2+b*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{c^{2} x^{2}}{{\left(a x^{2} + b x^{n}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(c^2*x^2/(a*x^2 + b*x^n)^(3/2), x)","F",0
401,0,0,0,0.000000," ","integrate((c*x)^(1/2)/(a*x+b*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{c x}}{{\left(a x + b x^{n}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x)/(a*x + b*x^n)^(3/2), x)","F",0
402,0,0,0,0.000000," ","integrate(1/c/x/(a+b*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{3}{2}} c x}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^(3/2)*c*x), x)","F",0
403,0,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(a/x+b*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + \frac{a}{x}\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^n + a/x)^(3/2)*(c*x)^(5/2)), x)","F",0
404,0,0,0,0.000000," ","integrate(1/c^4/x^4/(a/x^2+b*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + \frac{a}{x^{2}}\right)}^{\frac{3}{2}} c^{4} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^n + a/x^2)^(3/2)*c^4*x^4), x)","F",0
405,0,0,0,0.000000," ","integrate(1/(c*x)^(11/2)/(a/x^3+b*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + \frac{a}{x^{3}}\right)}^{\frac{3}{2}} \left(c x\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(1/((b*x^n + a/x^3)^(3/2)*(c*x)^(11/2)), x)","F",0
406,0,0,0,0.000000," ","integrate(1/c^7/x^7/(a/x^4+b*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{n} + \frac{a}{x^{4}}\right)}^{\frac{3}{2}} c^{7} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^n + a/x^4)^(3/2)*c^7*x^7), x)","F",0
407,-2,0,0,0.000000," ","integrate(1/((b*x^3+a)/x)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
408,1,40,0,0.213810," ","integrate(1/((b*x^4+a)/x^2)^(1/2),x, algorithm=""giac"")","\frac{\log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{4 \, \sqrt{b}} - \frac{\log\left({\left| -\sqrt{b} x^{2} + \sqrt{b x^{4} + a} \right|}\right)}{2 \, \sqrt{b} \mathrm{sgn}\left(x\right)}"," ",0,"1/4*log(abs(a))*sgn(x)/sqrt(b) - 1/2*log(abs(-sqrt(b)*x^2 + sqrt(b*x^4 + a)))/(sqrt(b)*sgn(x))","A",0
409,-2,0,0,0.000000," ","integrate(1/((b*x^5+a)/x^3)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
410,0,0,0,0.000000," ","integrate(1/(x^(2-n)*(a+b*x^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{{\left(b x^{n} + a\right)} x^{-n + 2}}}\,{d x}"," ",0,"integrate(1/sqrt((b*x^n + a)*x^(-n + 2)), x)","F",0
411,-2,0,0,0.000000," ","integrate(1/((-b*x^3+a)/x)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
412,1,47,0,0.187008," ","integrate(1/((-b*x^4+a)/x^2)^(1/2),x, algorithm=""giac"")","\frac{\log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{4 \, \sqrt{-b}} - \frac{\log\left({\left| -\sqrt{-b} x^{2} + \sqrt{-b x^{4} + a} \right|}\right)}{2 \, \sqrt{-b} \mathrm{sgn}\left(x\right)}"," ",0,"1/4*log(abs(a))*sgn(x)/sqrt(-b) - 1/2*log(abs(-sqrt(-b)*x^2 + sqrt(-b*x^4 + a)))/(sqrt(-b)*sgn(x))","A",0
413,-2,0,0,0.000000," ","integrate(1/((-b*x^5+a)/x^3)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
414,0,0,0,0.000000," ","integrate(1/(x^(2-n)*(a-b*x^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-{\left(b x^{n} - a\right)} x^{-n + 2}}}\,{d x}"," ",0,"integrate(1/sqrt(-(b*x^n - a)*x^(-n + 2)), x)","F",0
415,0,0,0,0.000000," ","integrate(1/(x^n*(a+b*x^(2-n)))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{{\left(b x^{-n + 2} + a\right)} x^{n}}}\,{d x}"," ",0,"integrate(1/sqrt((b*x^(-n + 2) + a)*x^n), x)","F",0
416,0,0,0,0.000000," ","integrate(1/(x^2*(b+a*x^(-2+n)))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{{\left(a x^{n - 2} + b\right)} x^{2}}}\,{d x}"," ",0,"integrate(1/sqrt((a*x^(n - 2) + b)*x^2), x)","F",0
417,0,0,0,0.000000," ","integrate(1/(x*(b*x+a*x^(-1+n)))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{{\left(a x^{n - 1} + b x\right)} x}}\,{d x}"," ",0,"integrate(1/sqrt((a*x^(n - 1) + b*x)*x), x)","F",0
418,0,0,0,0.000000," ","integrate(1/(x^n*(a-b*x^(2-n)))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-{\left(b x^{-n + 2} - a\right)} x^{n}}}\,{d x}"," ",0,"integrate(1/sqrt(-(b*x^(-n + 2) - a)*x^n), x)","F",0
419,0,0,0,0.000000," ","integrate(1/(x^2*(-b+a*x^(-2+n)))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{{\left(a x^{n - 2} - b\right)} x^{2}}}\,{d x}"," ",0,"integrate(1/sqrt((a*x^(n - 2) - b)*x^2), x)","F",0
420,0,0,0,0.000000," ","integrate(1/(x*(-b*x+a*x^(-1+n)))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{{\left(a x^{n - 1} - b x\right)} x}}\,{d x}"," ",0,"integrate(1/sqrt((a*x^(n - 1) - b*x)*x), x)","F",0
421,0,0,0,0.000000," ","integrate((c*x)^m*(a*x^j+b*x^n)^(3/2),x, algorithm=""giac"")","\int {\left(a x^{j} + b x^{n}\right)}^{\frac{3}{2}} \left(c x\right)^{m}\,{d x}"," ",0,"integrate((a*x^j + b*x^n)^(3/2)*(c*x)^m, x)","F",0
422,0,0,0,0.000000," ","integrate((c*x)^m*(a*x^j+b*x^n)^(1/2),x, algorithm=""giac"")","\int \sqrt{a x^{j} + b x^{n}} \left(c x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(a*x^j + b*x^n)*(c*x)^m, x)","F",0
423,0,0,0,0.000000," ","integrate((c*x)^m/(a*x^j+b*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{\left(c x\right)^{m}}{\sqrt{a x^{j} + b x^{n}}}\,{d x}"," ",0,"integrate((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, algorithm=""giac"")","\int \frac{\left(c x\right)^{m}}{{\left(a x^{j} + b x^{n}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((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, algorithm=""giac"")","\int \frac{\left(c x\right)^{m}}{{\left(a x^{j} + b x^{n}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((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, algorithm=""giac"")","\int {\left(a x^{j} + b x^{n}\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((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, algorithm=""giac"")","\int \sqrt{a x^{j} + b x^{n}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{1}{\sqrt{a x^{j} + b x^{n}}}\,{d x}"," ",0,"integrate(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, algorithm=""giac"")","\int \frac{1}{{\left(a x^{j} + b x^{n}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((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, algorithm=""giac"")","\int \frac{1}{{\left(a x^{j} + b x^{n}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*x^j + b*x^n)^(-5/2), x)","F",0
431,1,50,0,0.185387," ","integrate(((1+x)/x^5)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(x - \sqrt{x^{2} + x}\right)}^{2} \mathrm{sgn}\left(x\right) + 3 \, {\left(x - \sqrt{x^{2} + x}\right)} \mathrm{sgn}\left(x\right) + \mathrm{sgn}\left(x\right)\right)}}{3 \, {\left(x - \sqrt{x^{2} + x}\right)}^{3}}"," ",0,"2/3*(3*(x - sqrt(x^2 + x))^2*sgn(x) + 3*(x - sqrt(x^2 + x))*sgn(x) + sgn(x))/(x - sqrt(x^2 + x))^3","B",0
432,1,11,0,0.172046," ","integrate((x+x^(5/2))^(1/2),x, algorithm=""giac"")","\frac{4}{9} \, {\left(x^{\frac{3}{2}} + 1\right)}^{\frac{3}{2}} - \frac{4}{9}"," ",0,"4/9*(x^(3/2) + 1)^(3/2) - 4/9","A",0
433,1,6,0,0.154553," ","integrate(1/(x^(3/2)+x^(1/2)),x, algorithm=""giac"")","2 \, \arctan\left(\sqrt{x}\right)"," ",0,"2*arctan(sqrt(x))","A",0
434,1,27,0,0.168942," ","integrate(x*(x^2*(b*x^3+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} \mathrm{sgn}\left(x\right)}{9 \, b} - \frac{2 \, a^{\frac{3}{2}} \mathrm{sgn}\left(x\right)}{9 \, b}"," ",0,"2/9*(b*x^3 + a)^(3/2)*sgn(x)/b - 2/9*a^(3/2)*sgn(x)/b","A",0
435,1,27,0,0.163443," ","integrate(x*(b*x^5+a*x^2)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} \mathrm{sgn}\left(x\right)}{9 \, b} - \frac{2 \, a^{\frac{3}{2}} \mathrm{sgn}\left(x\right)}{9 \, b}"," ",0,"2/9*(b*x^3 + a)^(3/2)*sgn(x)/b - 2/9*a^(3/2)*sgn(x)/b","A",0
436,1,14,0,0.185907," ","integrate((x^4*(b*x^3+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{9 \, b}"," ",0,"2/9*(b*x^3 + a)^(3/2)/b","A",0
437,0,0,0,0.000000," ","integrate(1/(a*x^(1/3)+b*x^(2/3))^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{\frac{2}{3}} + a x^{\frac{1}{3}}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x^(2/3) + a*x^(1/3))^(-1/3), x)","F",0
438,0,0,0,0.000000," ","integrate(1/(a*x^(1/3)+b*x^(2/3))^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x^{\frac{2}{3}} + a x^{\frac{1}{3}}\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x^(2/3) + a*x^(1/3))^(-2/3), x)","F",0
439,0,0,0,0.000000," ","integrate(x^m*(a*x^j+b*x^n)^p,x, algorithm=""giac"")","\int {\left(a x^{j} + b x^{n}\right)}^{p} x^{m}\,{d x}"," ",0,"integrate((a*x^j + b*x^n)^p*x^m, x)","F",0
440,0,0,0,0.000000," ","integrate(x^(-p*q-1)*(b*x^n+a*x^q)^p,x, algorithm=""giac"")","\int {\left(b x^{n} + a x^{q}\right)}^{p} x^{-p q - 1}\,{d x}"," ",0,"integrate((b*x^n + a*x^q)^p*x^(-p*q - 1), x)","F",0
441,0,0,0,0.000000," ","integrate(x^(-n*p-1)*(b*x^n+a*x^q)^p,x, algorithm=""giac"")","\int {\left(b x^{n} + a x^{q}\right)}^{p} x^{-n p - 1}\,{d x}"," ",0,"integrate((b*x^n + a*x^q)^p*x^(-n*p - 1), x)","F",0
442,0,0,0,0.000000," ","integrate(x^(-1-n-(-1+p)*q)*(b*x^n+a*x^q)^p,x, algorithm=""giac"")","\int {\left(b x^{n} + a x^{q}\right)}^{p} x^{-{\left(p - 1\right)} q - n - 1}\,{d x}"," ",0,"integrate((b*x^n + a*x^q)^p*x^(-(p - 1)*q - n - 1), x)","F",0
443,0,0,0,0.000000," ","integrate(x^(-1-n*(-1+p)-q)*(b*x^n+a*x^q)^p,x, algorithm=""giac"")","\int {\left(b x^{n} + a x^{q}\right)}^{p} x^{-n {\left(p - 1\right)} - q - 1}\,{d x}"," ",0,"integrate((b*x^n + a*x^q)^p*x^(-n*(p - 1) - q - 1), x)","F",0
444,0,0,0,0.000000," ","integrate((a*x^m+b*x^(m*p+m+1))^p,x, algorithm=""giac"")","\int {\left(b x^{m p + m + 1} + a x^{m}\right)}^{p}\,{d x}"," ",0,"integrate((b*x^(m*p + m + 1) + a*x^m)^p, x)","F",0
445,0,0,0,0.000000," ","integrate((x^m*(a+b*x^(m*p+1)))^p,x, algorithm=""giac"")","\int \left({\left(b x^{m p + 1} + a\right)} x^{m}\right)^{p}\,{d x}"," ",0,"integrate(((b*x^(m*p + 1) + a)*x^m)^p, x)","F",0
446,0,0,0,0.000000," ","integrate(x^n*(x^m*(a+b*x^(m*p+n+1)))^p,x, algorithm=""giac"")","\int \left({\left(b x^{m p + n + 1} + a\right)} x^{m}\right)^{p} x^{n}\,{d x}"," ",0,"integrate(((b*x^(m*p + n + 1) + a)*x^m)^p*x^n, x)","F",0
447,0,0,0,0.000000," ","integrate(x^n*(a*x^m+b*x^(m*p+m+n+1))^p,x, algorithm=""giac"")","\int {\left(b x^{m p + m + n + 1} + a x^{m}\right)}^{p} x^{n}\,{d x}"," ",0,"integrate((b*x^(m*p + m + n + 1) + a*x^m)^p*x^n, x)","F",0
448,0,0,0,0.000000," ","integrate((x^(-2+2*n)*(a+b*x^n))^(1/2),x, algorithm=""giac"")","\int \sqrt{{\left(b x^{n} + a\right)} x^{2 \, n - 2}}\,{d x}"," ",0,"integrate(sqrt((b*x^n + a)*x^(2*n - 2)), x)","F",0
449,0,0,0,0.000000," ","integrate((x^(-3+3*n)*(a+b*x^n))^(1/3),x, algorithm=""giac"")","\int \left({\left(b x^{n} + a\right)} x^{3 \, n - 3}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate(((b*x^n + a)*x^(3*n - 3))^(1/3), x)","F",0
450,0,0,0,0.000000," ","integrate((x^(-4+4*n)*(a+b*x^n))^(1/4),x, algorithm=""giac"")","\int \left({\left(b x^{n} + a\right)} x^{4 \, n - 4}\right)^{\frac{1}{4}}\,{d x}"," ",0,"integrate(((b*x^n + a)*x^(4*n - 4))^(1/4), x)","F",0
451,0,0,0,0.000000," ","integrate((x^((-1+n)*p)*(a+b*x^n))^(1/p),x, algorithm=""giac"")","\int \left({\left(b x^{n} + a\right)} x^{{\left(n - 1\right)} p}\right)^{\left(\frac{1}{p}\right)}\,{d x}"," ",0,"integrate(((b*x^n + a)*x^((n - 1)*p))^(1/p), x)","F",0
452,0,0,0,0.000000," ","integrate((x^((-1+n)/p)*(a+b*x^n))^p,x, algorithm=""giac"")","\int \left({\left(b x^{n} + a\right)} x^{\frac{n - 1}{p}}\right)^{p}\,{d x}"," ",0,"integrate(((b*x^n + a)*x^((n - 1)/p))^p, x)","F",0
453,0,0,0,0.000000," ","integrate(x^(-1+n-p*(1+q))*(a*x^n+b*x^p)^q,x, algorithm=""giac"")","\int {\left(a x^{n} + b x^{p}\right)}^{q} x^{-p {\left(q + 1\right)} + n - 1}\,{d x}"," ",0,"integrate((a*x^n + b*x^p)^q*x^(-p*(q + 1) + n - 1), x)","F",0
454,0,0,0,0.000000," ","integrate(x^(-1-n*q-p*(1+q))*(x^n*(a+b*x^p))^q,x, algorithm=""giac"")","\int \left({\left(b x^{p} + a\right)} x^{n}\right)^{q} x^{-p {\left(q + 1\right)} - n q - 1}\,{d x}"," ",0,"integrate(((b*x^p + a)*x^n)^q*x^(-p*(q + 1) - n*q - 1), x)","F",0
