1,1,13,17,0.021592,"\text{Not used}","int(x^2*(a*x + b*x^3),x)","\frac{b\,x^6}{6}+\frac{a\,x^4}{4}","Not used",1,"(a*x^4)/4 + (b*x^6)/6","B"
2,1,13,17,0.021534,"\text{Not used}","int(x*(a*x + b*x^3),x)","\frac{b\,x^5}{5}+\frac{a\,x^3}{3}","Not used",1,"(a*x^3)/3 + (b*x^5)/5","B"
3,1,13,17,0.018635,"\text{Not used}","int(a*x + b*x^3,x)","\frac{b\,x^4}{4}+\frac{a\,x^2}{2}","Not used",1,"(a*x^2)/2 + (b*x^4)/4","B"
4,1,10,12,0.017055,"\text{Not used}","int((a*x + b*x^3)/x,x)","\frac{b\,x^3}{3}+a\,x","Not used",1,"a*x + (b*x^3)/3","B"
5,1,11,13,0.023690,"\text{Not used}","int((a*x + b*x^3)/x^2,x)","\frac{b\,x^2}{2}+a\,\ln\left(x\right)","Not used",1,"(b*x^2)/2 + a*log(x)","B"
6,1,24,30,0.041214,"\text{Not used}","int(x^2*(a*x + b*x^3)^2,x)","\frac{a^2\,x^5}{5}+\frac{2\,a\,b\,x^7}{7}+\frac{b^2\,x^9}{9}","Not used",1,"(a^2*x^5)/5 + (b^2*x^9)/9 + (2*a*b*x^7)/7","B"
7,1,24,30,0.033145,"\text{Not used}","int(x*(a*x + b*x^3)^2,x)","\frac{a^2\,x^4}{4}+\frac{a\,b\,x^6}{3}+\frac{b^2\,x^8}{8}","Not used",1,"(a^2*x^4)/4 + (b^2*x^8)/8 + (a*b*x^6)/3","B"
8,1,24,30,0.030334,"\text{Not used}","int((a*x + b*x^3)^2,x)","\frac{a^2\,x^3}{3}+\frac{2\,a\,b\,x^5}{5}+\frac{b^2\,x^7}{7}","Not used",1,"(a^2*x^3)/3 + (b^2*x^7)/7 + (2*a*b*x^5)/5","B"
9,1,24,16,0.031408,"\text{Not used}","int((a*x + b*x^3)^2/x,x)","\frac{a^2\,x^2}{2}+\frac{a\,b\,x^4}{2}+\frac{b^2\,x^6}{6}","Not used",1,"(a^2*x^2)/2 + (b^2*x^6)/6 + (a*b*x^4)/2","B"
10,1,21,25,0.030108,"\text{Not used}","int((a*x + b*x^3)^2/x^2,x)","a^2\,x+\frac{2\,a\,b\,x^3}{3}+\frac{b^2\,x^5}{5}","Not used",1,"a^2*x + (b^2*x^5)/5 + (2*a*b*x^3)/3","B"
11,1,36,46,0.038709,"\text{Not used}","int((4*x - 3*x^3)^6,x)","\frac{729\,x^{19}}{19}-\frac{5832\,x^{17}}{17}+1296\,x^{15}-\frac{34560\,x^{13}}{13}+\frac{34560\,x^{11}}{11}-2048\,x^9+\frac{4096\,x^7}{7}","Not used",1,"(4096*x^7)/7 - 2048*x^9 + (34560*x^11)/11 - (34560*x^13)/13 + 1296*x^15 - (5832*x^17)/17 + (729*x^19)/19","B"
12,1,22,27,0.039815,"\text{Not used}","int(x^4/(a*x + b*x^3),x)","-\frac{a\,\ln\left(b\,x^2+a\right)-b\,x^2}{2\,b^2}","Not used",1,"-(a*log(a + b*x^2) - b*x^2)/(2*b^2)","B"
13,1,23,31,4.912596,"\text{Not used}","int(x^3/(a*x + b*x^3),x)","\frac{x}{b}-\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{b^{3/2}}","Not used",1,"x/b - (a^(1/2)*atan((b^(1/2)*x)/a^(1/2)))/b^(3/2)","B"
14,1,13,15,4.916473,"\text{Not used}","int(x^2/(a*x + b*x^3),x)","\frac{\ln\left(b\,x^2+a\right)}{2\,b}","Not used",1,"log(a + b*x^2)/(2*b)","B"
15,1,16,24,0.044682,"\text{Not used}","int(x/(a*x + b*x^3),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"atan((b^(1/2)*x)/a^(1/2))/(a^(1/2)*b^(1/2))","B"
16,1,18,22,0.063349,"\text{Not used}","int(1/(a*x + b*x^3),x)","-\frac{\ln\left(b\,x^2+a\right)-2\,\ln\left(x\right)}{2\,a}","Not used",1,"-(log(a + b*x^2) - 2*log(x))/(2*a)","B"
17,1,26,34,4.956032,"\text{Not used}","int(1/(x*(a*x + b*x^3)),x)","-\frac{1}{a\,x}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{a^{3/2}}","Not used",1,"- 1/(a*x) - (b^(1/2)*atan((b^(1/2)*x)/a^(1/2)))/a^(3/2)","B"
18,1,31,35,0.060069,"\text{Not used}","int(1/(x^2*(a*x + b*x^3)),x)","\frac{b\,\ln\left(b\,x^2+a\right)}{2\,a^2}-\frac{1}{2\,a\,x^2}-\frac{b\,\ln\left(x\right)}{a^2}","Not used",1,"(b*log(a + b*x^2))/(2*a^2) - 1/(2*a*x^2) - (b*log(x))/a^2","B"
19,1,37,43,4.937394,"\text{Not used}","int(1/(x^3*(a*x + b*x^3)),x)","\frac{b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{a^{5/2}}-\frac{\frac{1}{3\,a}-\frac{b\,x^2}{a^2}}{x^3}","Not used",1,"(b^(3/2)*atan((b^(1/2)*x)/a^(1/2)))/a^(5/2) - (1/(3*a) - (b*x^2)/a^2)/x^3","B"
20,1,46,49,0.061849,"\text{Not used}","int(1/(x^4*(a*x + b*x^3)),x)","\frac{b^2\,\ln\left(x\right)}{a^3}-\frac{b^2\,\ln\left(b\,x^2+a\right)}{2\,a^3}-\frac{\frac{1}{4\,a}-\frac{b\,x^2}{2\,a^2}}{x^4}","Not used",1,"(b^2*log(x))/a^3 - (b^2*log(a + b*x^2))/(2*a^3) - (1/(4*a) - (b*x^2)/(2*a^2))/x^4","B"
21,1,33,45,4.955047,"\text{Not used}","int(x^2/(a*x + b*x^3)^2,x)","\frac{x}{2\,a\,\left(b\,x^2+a\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,a^{3/2}\,\sqrt{b}}","Not used",1,"x/(2*a*(a + b*x^2)) + atan((b^(1/2)*x)/a^(1/2))/(2*a^(3/2)*b^(1/2))","B"
22,1,34,38,0.049071,"\text{Not used}","int(x/(a*x + b*x^3)^2,x)","\frac{\ln\left(x\right)}{a^2}+\frac{1}{2\,a\,\left(b\,x^2+a\right)}-\frac{\ln\left(b\,x^2+a\right)}{2\,a^2}","Not used",1,"log(x)/a^2 + 1/(2*a*(a + b*x^2)) - log(a + b*x^2)/(2*a^2)","B"
23,1,44,57,4.975346,"\text{Not used}","int(1/(a*x + b*x^3)^2,x)","-\frac{\frac{1}{a}+\frac{3\,b\,x^2}{2\,a^2}}{b\,x^3+a\,x}-\frac{3\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,a^{5/2}}","Not used",1,"- (1/a + (3*b*x^2)/(2*a^2))/(a*x + b*x^3) - (3*b^(1/2)*atan((b^(1/2)*x)/a^(1/2)))/(2*a^(5/2))","B"
24,1,51,49,0.053497,"\text{Not used}","int(1/(x*(a*x + b*x^3)^2),x)","\frac{b\,\ln\left(b\,x^2+a\right)}{a^3}-\frac{\frac{1}{2\,a}+\frac{b\,x^2}{a^2}}{b\,x^4+a\,x^2}-\frac{2\,b\,\ln\left(x\right)}{a^3}","Not used",1,"(b*log(a + b*x^2))/a^3 - (1/(2*a) + (b*x^2)/a^2)/(a*x^2 + b*x^4) - (2*b*log(x))/a^3","B"
25,1,58,68,5.026478,"\text{Not used}","int(1/(x^2*(a*x + b*x^3)^2),x)","\frac{\frac{5\,b\,x^2}{3\,a^2}-\frac{1}{3\,a}+\frac{5\,b^2\,x^4}{2\,a^3}}{b\,x^5+a\,x^3}+\frac{5\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,a^{7/2}}","Not used",1,"((5*b*x^2)/(3*a^2) - 1/(3*a) + (5*b^2*x^4)/(2*a^3))/(a*x^3 + b*x^5) + (5*b^(3/2)*atan((b^(1/2)*x)/a^(1/2)))/(2*a^(7/2))","B"
26,1,11,13,4.976865,"\text{Not used}","int(x^5/(x - x^3),x)","\mathrm{atanh}\left(x\right)-x-\frac{x^3}{3}","Not used",1,"atanh(x) - x - x^3/3","B"
27,1,14,20,0.035513,"\text{Not used}","int(x^4/(x - x^3),x)","-\frac{\ln\left(x^2-1\right)}{2}-\frac{x^2}{2}","Not used",1,"- log(x^2 - 1)/2 - x^2/2","B"
28,1,6,6,0.057917,"\text{Not used}","int(x^3/(x - x^3),x)","\mathrm{atanh}\left(x\right)-x","Not used",1,"atanh(x) - x","B"
29,1,8,12,0.029253,"\text{Not used}","int(x^2/(x - x^3),x)","-\frac{\ln\left(x^2-1\right)}{2}","Not used",1,"-log(x^2 - 1)/2","B"
30,1,2,2,0.032870,"\text{Not used}","int(x/(x - x^3),x)","\mathrm{atanh}\left(x\right)","Not used",1,"atanh(x)","B"
31,1,11,15,4.959957,"\text{Not used}","int(1/(x - x^3),x)","\ln\left(x\right)-\frac{\ln\left(x^2-1\right)}{2}","Not used",1,"log(x) - log(x^2 - 1)/2","B"
32,1,8,8,0.032982,"\text{Not used}","int(1/(x*(x - x^3)),x)","\mathrm{atanh}\left(x\right)-\frac{1}{x}","Not used",1,"atanh(x) - 1/x","B"
33,1,16,22,0.032642,"\text{Not used}","int(1/(x^2*(x - x^3)),x)","\ln\left(x\right)-\frac{\ln\left(x^2-1\right)}{2}-\frac{1}{2\,x^2}","Not used",1,"log(x) - log(x^2 - 1)/2 - 1/(2*x^2)","B"
34,1,13,15,4.924099,"\text{Not used}","int(1/(x^3*(x - x^3)),x)","\mathrm{atanh}\left(x\right)-\frac{x^2+\frac{1}{3}}{x^3}","Not used",1,"atanh(x) - (x^2 + 1/3)/x^3","B"
35,1,23,29,0.033182,"\text{Not used}","int(1/(x^4*(x - x^3)),x)","\ln\left(x\right)-\frac{\ln\left(x^2-1\right)}{2}-\frac{\frac{x^2}{2}+\frac{1}{4}}{x^4}","Not used",1,"log(x) - log(x^2 - 1)/2 - (x^2/2 + 1/4)/x^4","B"
36,1,14,15,4.950341,"\text{Not used}","int(1/(x + b*x^3),x)","\ln\left(x\right)-\frac{\ln\left(\frac{3\,b\,x^2}{2}+\frac{3}{2}\right)}{2}","Not used",1,"log(x) - log((3*b*x^2)/2 + 3/2)/2","B"
37,1,16,18,0.052033,"\text{Not used}","int(-1/(x - b*x^3),x)","\frac{\ln\left(\frac{3}{2}-\frac{3\,b\,x^2}{2}\right)}{2}-\ln\left(x\right)","Not used",1,"log(3/2 - (3*b*x^2)/2)/2 - log(x)","B"
38,0,-1,163,0.000000,"\text{Not used}","int(x^3*(a*x + b*x^3)^(1/2),x)","\int x^3\,\sqrt{b\,x^3+a\,x} \,d x","Not used",1,"int(x^3*(a*x + b*x^3)^(1/2), x)","F"
39,0,-1,281,0.000000,"\text{Not used}","int(x^2*(a*x + b*x^3)^(1/2),x)","\int x^2\,\sqrt{b\,x^3+a\,x} \,d x","Not used",1,"int(x^2*(a*x + b*x^3)^(1/2), x)","F"
40,0,-1,137,0.000000,"\text{Not used}","int(x*(a*x + b*x^3)^(1/2),x)","\int x\,\sqrt{b\,x^3+a\,x} \,d x","Not used",1,"int(x*(a*x + b*x^3)^(1/2), x)","F"
41,1,40,255,5.051268,"\text{Not used}","int((a*x + b*x^3)^(1/2),x)","\frac{2\,x\,\sqrt{b\,x^3+a\,x}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{3}{4};\ \frac{7}{4};\ -\frac{b\,x^2}{a}\right)}{3\,\sqrt{\frac{b\,x^2}{a}+1}}","Not used",1,"(2*x*(a*x + b*x^3)^(1/2)*hypergeom([-1/2, 3/4], 7/4, -(b*x^2)/a))/(3*((b*x^2)/a + 1)^(1/2))","B"
42,0,-1,113,0.000000,"\text{Not used}","int((a*x + b*x^3)^(1/2)/x,x)","\int \frac{\sqrt{b\,x^3+a\,x}}{x} \,d x","Not used",1,"int((a*x + b*x^3)^(1/2)/x, x)","F"
43,0,-1,248,0.000000,"\text{Not used}","int((a*x + b*x^3)^(1/2)/x^2,x)","\int \frac{\sqrt{b\,x^3+a\,x}}{x^2} \,d x","Not used",1,"int((a*x + b*x^3)^(1/2)/x^2, x)","F"
44,0,-1,116,0.000000,"\text{Not used}","int((a*x + b*x^3)^(1/2)/x^3,x)","\int \frac{\sqrt{b\,x^3+a\,x}}{x^3} \,d x","Not used",1,"int((a*x + b*x^3)^(1/2)/x^3, x)","F"
45,0,-1,283,0.000000,"\text{Not used}","int((a*x + b*x^3)^(1/2)/x^4,x)","\int \frac{\sqrt{b\,x^3+a\,x}}{x^4} \,d x","Not used",1,"int((a*x + b*x^3)^(1/2)/x^4, x)","F"
46,0,-1,186,0.000000,"\text{Not used}","int(x^2*(a*x + b*x^3)^(3/2),x)","\int x^2\,{\left(b\,x^3+a\,x\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a*x + b*x^3)^(3/2), x)","F"
47,0,-1,304,0.000000,"\text{Not used}","int(x*(a*x + b*x^3)^(3/2),x)","\int x\,{\left(b\,x^3+a\,x\right)}^{3/2} \,d x","Not used",1,"int(x*(a*x + b*x^3)^(3/2), x)","F"
48,1,40,158,5.004994,"\text{Not used}","int((a*x + b*x^3)^(3/2),x)","\frac{2\,x\,{\left(b\,x^3+a\,x\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{5}{4};\ \frac{9}{4};\ -\frac{b\,x^2}{a}\right)}{5\,{\left(\frac{b\,x^2}{a}+1\right)}^{3/2}}","Not used",1,"(2*x*(a*x + b*x^3)^(3/2)*hypergeom([-3/2, 5/4], 9/4, -(b*x^2)/a))/(5*((b*x^2)/a + 1)^(3/2))","B"
49,0,-1,275,0.000000,"\text{Not used}","int((a*x + b*x^3)^(3/2)/x,x)","\int \frac{{\left(b\,x^3+a\,x\right)}^{3/2}}{x} \,d x","Not used",1,"int((a*x + b*x^3)^(3/2)/x, x)","F"
50,0,-1,134,0.000000,"\text{Not used}","int((a*x + b*x^3)^(3/2)/x^2,x)","\int \frac{{\left(b\,x^3+a\,x\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((a*x + b*x^3)^(3/2)/x^2, x)","F"
51,0,-1,274,0.000000,"\text{Not used}","int((a*x + b*x^3)^(3/2)/x^3,x)","\int \frac{{\left(b\,x^3+a\,x\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a*x + b*x^3)^(3/2)/x^3, x)","F"
52,0,-1,134,0.000000,"\text{Not used}","int((a*x + b*x^3)^(3/2)/x^4,x)","\int \frac{{\left(b\,x^3+a\,x\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a*x + b*x^3)^(3/2)/x^4, x)","F"
53,0,-1,277,0.000000,"\text{Not used}","int((a*x + b*x^3)^(3/2)/x^5,x)","\int \frac{{\left(b\,x^3+a\,x\right)}^{3/2}}{x^5} \,d x","Not used",1,"int((a*x + b*x^3)^(3/2)/x^5, x)","F"
54,0,-1,137,0.000000,"\text{Not used}","int((a*x + b*x^3)^(3/2)/x^6,x)","\int \frac{{\left(b\,x^3+a\,x\right)}^{3/2}}{x^6} \,d x","Not used",1,"int((a*x + b*x^3)^(3/2)/x^6, x)","F"
55,0,-1,306,0.000000,"\text{Not used}","int((a*x + b*x^3)^(3/2)/x^7,x)","\int \frac{{\left(b\,x^3+a\,x\right)}^{3/2}}{x^7} \,d x","Not used",1,"int((a*x + b*x^3)^(3/2)/x^7, x)","F"
56,0,-1,163,0.000000,"\text{Not used}","int((a*x + b*x^3)^(3/2)/x^8,x)","\int \frac{{\left(b\,x^3+a\,x\right)}^{3/2}}{x^8} \,d x","Not used",1,"int((a*x + b*x^3)^(3/2)/x^8, x)","F"
57,0,-1,140,0.000000,"\text{Not used}","int(x^4/(a*x + b*x^3)^(1/2),x)","\int \frac{x^4}{\sqrt{b\,x^3+a\,x}} \,d x","Not used",1,"int(x^4/(a*x + b*x^3)^(1/2), x)","F"
58,0,-1,258,0.000000,"\text{Not used}","int(x^3/(a*x + b*x^3)^(1/2),x)","\int \frac{x^3}{\sqrt{b\,x^3+a\,x}} \,d x","Not used",1,"int(x^3/(a*x + b*x^3)^(1/2), x)","F"
59,0,-1,116,0.000000,"\text{Not used}","int(x^2/(a*x + b*x^3)^(1/2),x)","\int \frac{x^2}{\sqrt{b\,x^3+a\,x}} \,d x","Not used",1,"int(x^2/(a*x + b*x^3)^(1/2), x)","F"
60,0,-1,229,0.000000,"\text{Not used}","int(x/(a*x + b*x^3)^(1/2),x)","\int \frac{x}{\sqrt{b\,x^3+a\,x}} \,d x","Not used",1,"int(x/(a*x + b*x^3)^(1/2), x)","F"
61,1,40,92,5.034859,"\text{Not used}","int(1/(a*x + b*x^3)^(1/2),x)","\frac{2\,x\,\sqrt{\frac{b\,x^2}{a}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{5}{4};\ -\frac{b\,x^2}{a}\right)}{\sqrt{b\,x^3+a\,x}}","Not used",1,"(2*x*((b*x^2)/a + 1)^(1/2)*hypergeom([1/4, 1/2], 5/4, -(b*x^2)/a))/(a*x + b*x^3)^(1/2)","B"
62,0,-1,253,0.000000,"\text{Not used}","int(1/(x*(a*x + b*x^3)^(1/2)),x)","\int \frac{1}{x\,\sqrt{b\,x^3+a\,x}} \,d x","Not used",1,"int(1/(x*(a*x + b*x^3)^(1/2)), x)","F"
63,0,-1,119,0.000000,"\text{Not used}","int(1/(x^2*(a*x + b*x^3)^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{b\,x^3+a\,x}} \,d x","Not used",1,"int(1/(x^2*(a*x + b*x^3)^(1/2)), x)","F"
64,0,-1,286,0.000000,"\text{Not used}","int(1/(x^3*(a*x + b*x^3)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{b\,x^3+a\,x}} \,d x","Not used",1,"int(1/(x^3*(a*x + b*x^3)^(1/2)), x)","F"
65,0,-1,161,0.000000,"\text{Not used}","int(x^7/(a*x + b*x^3)^(3/2),x)","\int \frac{x^7}{{\left(b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^7/(a*x + b*x^3)^(3/2), x)","F"
66,0,-1,279,0.000000,"\text{Not used}","int(x^6/(a*x + b*x^3)^(3/2),x)","\int \frac{x^6}{{\left(b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^6/(a*x + b*x^3)^(3/2), x)","F"
67,0,-1,137,0.000000,"\text{Not used}","int(x^5/(a*x + b*x^3)^(3/2),x)","\int \frac{x^5}{{\left(b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^5/(a*x + b*x^3)^(3/2), x)","F"
68,0,-1,253,0.000000,"\text{Not used}","int(x^4/(a*x + b*x^3)^(3/2),x)","\int \frac{x^4}{{\left(b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(a*x + b*x^3)^(3/2), x)","F"
69,0,-1,115,0.000000,"\text{Not used}","int(x^3/(a*x + b*x^3)^(3/2),x)","\int \frac{x^3}{{\left(b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(a*x + b*x^3)^(3/2), x)","F"
70,0,-1,254,0.000000,"\text{Not used}","int(x^2/(a*x + b*x^3)^(3/2),x)","\int \frac{x^2}{{\left(b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a*x + b*x^3)^(3/2), x)","F"
71,0,-1,114,0.000000,"\text{Not used}","int(x/(a*x + b*x^3)^(3/2),x)","\int \frac{x}{{\left(b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(x/(a*x + b*x^3)^(3/2), x)","F"
72,1,40,273,5.168185,"\text{Not used}","int(1/(a*x + b*x^3)^(3/2),x)","-\frac{2\,x\,{\left(\frac{b\,x^2}{a}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{3}{2};\ \frac{3}{4};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^3+a\,x\right)}^{3/2}}","Not used",1,"-(2*x*((b*x^2)/a + 1)^(3/2)*hypergeom([-1/4, 3/2], 3/4, -(b*x^2)/a))/(a*x + b*x^3)^(3/2)","B"
73,0,-1,139,0.000000,"\text{Not used}","int(1/(x*(a*x + b*x^3)^(3/2)),x)","\int \frac{1}{x\,{\left(b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a*x + b*x^3)^(3/2)), x)","F"
74,0,-1,306,0.000000,"\text{Not used}","int(1/(x^2*(a*x + b*x^3)^(3/2)),x)","\int \frac{1}{x^2\,{\left(b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a*x + b*x^3)^(3/2)), x)","F"
75,0,-1,159,0.000000,"\text{Not used}","int(x^(29/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{29/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(29/2)/(a*x + b*x^3)^(9/2), x)","F"
76,0,-1,126,0.000000,"\text{Not used}","int(x^(27/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{27/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(27/2)/(a*x + b*x^3)^(9/2), x)","F"
77,0,-1,130,0.000000,"\text{Not used}","int(x^(25/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{25/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(25/2)/(a*x + b*x^3)^(9/2), x)","F"
78,0,-1,101,0.000000,"\text{Not used}","int(x^(23/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{23/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(23/2)/(a*x + b*x^3)^(9/2), x)","F"
79,0,-1,25,0.000000,"\text{Not used}","int(x^(21/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{21/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(21/2)/(a*x + b*x^3)^(9/2), x)","F"
80,0,-1,76,0.000000,"\text{Not used}","int(x^(19/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{19/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(19/2)/(a*x + b*x^3)^(9/2), x)","F"
81,0,-1,51,0.000000,"\text{Not used}","int(x^(17/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{17/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(17/2)/(a*x + b*x^3)^(9/2), x)","F"
82,0,-1,51,0.000000,"\text{Not used}","int(x^(15/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{15/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(15/2)/(a*x + b*x^3)^(9/2), x)","F"
83,0,-1,76,0.000000,"\text{Not used}","int(x^(13/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{13/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(13/2)/(a*x + b*x^3)^(9/2), x)","F"
84,0,-1,25,0.000000,"\text{Not used}","int(x^(11/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{11/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(11/2)/(a*x + b*x^3)^(9/2), x)","F"
85,0,-1,101,0.000000,"\text{Not used}","int(x^(9/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{9/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(9/2)/(a*x + b*x^3)^(9/2), x)","F"
86,0,-1,130,0.000000,"\text{Not used}","int(x^(7/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{7/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(7/2)/(a*x + b*x^3)^(9/2), x)","F"
87,0,-1,126,0.000000,"\text{Not used}","int(x^(5/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{5/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(5/2)/(a*x + b*x^3)^(9/2), x)","F"
88,0,-1,159,0.000000,"\text{Not used}","int(x^(3/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{x^{3/2}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(3/2)/(a*x + b*x^3)^(9/2), x)","F"
89,0,-1,152,0.000000,"\text{Not used}","int(x^(1/2)/(a*x + b*x^3)^(9/2),x)","\int \frac{\sqrt{x}}{{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(x^(1/2)/(a*x + b*x^3)^(9/2), x)","F"
90,0,-1,189,0.000000,"\text{Not used}","int(1/(x^(1/2)*(a*x + b*x^3)^(9/2)),x)","\int \frac{1}{\sqrt{x}\,{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(1/(x^(1/2)*(a*x + b*x^3)^(9/2)), x)","F"
91,0,-1,180,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a*x + b*x^3)^(9/2)),x)","\int \frac{1}{x^{3/2}\,{\left(b\,x^3+a\,x\right)}^{9/2}} \,d x","Not used",1,"int(1/(x^(3/2)*(a*x + b*x^3)^(9/2)), x)","F"
92,0,-1,55,0.000000,"\text{Not used}","int(x^4/(a*x + b*x^4)^(1/2),x)","\int \frac{x^4}{\sqrt{b\,x^4+a\,x}} \,d x","Not used",1,"int(x^4/(a*x + b*x^4)^(1/2), x)","F"
93,0,-1,32,0.000000,"\text{Not used}","int(x/(a*x + b*x^4)^(1/2),x)","\int \frac{x}{\sqrt{b\,x^4+a\,x}} \,d x","Not used",1,"int(x/(a*x + b*x^4)^(1/2), x)","F"
94,1,19,23,5.134159,"\text{Not used}","int(1/(x^2*(a*x + b*x^4)^(1/2)),x)","-\frac{2\,\sqrt{b\,x^4+a\,x}}{3\,a\,x^2}","Not used",1,"-(2*(a*x + b*x^4)^(1/2))/(3*a*x^2)","B"
95,1,27,48,5.128598,"\text{Not used}","int(1/(x^5*(a*x + b*x^4)^(1/2)),x)","-\frac{2\,\sqrt{b\,x^4+a\,x}\,\left(a-2\,b\,x^3\right)}{9\,a^2\,x^5}","Not used",1,"-(2*(a*x + b*x^4)^(1/2)*(a - 2*b*x^3))/(9*a^2*x^5)","B"
96,1,40,74,5.266165,"\text{Not used}","int(1/(x^8*(a*x + b*x^4)^(1/2)),x)","-\frac{2\,\sqrt{b\,x^4+a\,x}\,\left(3\,a^2-4\,a\,b\,x^3+8\,b^2\,x^6\right)}{45\,a^3\,x^8}","Not used",1,"-(2*(a*x + b*x^4)^(1/2)*(3*a^2 + 8*b^2*x^6 - 4*a*b*x^3))/(45*a^3*x^8)","B"
97,0,-1,224,0.000000,"\text{Not used}","int(x^3/(a*x + b*x^4)^(1/2),x)","\int \frac{x^3}{\sqrt{b\,x^4+a\,x}} \,d x","Not used",1,"int(x^3/(a*x + b*x^4)^(1/2), x)","F"
98,1,40,197,5.156865,"\text{Not used}","int(1/(a*x + b*x^4)^(1/2),x)","\frac{2\,x\,\sqrt{\frac{b\,x^3}{a}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{6},\frac{1}{2};\ \frac{7}{6};\ -\frac{b\,x^3}{a}\right)}{\sqrt{b\,x^4+a\,x}}","Not used",1,"(2*x*((b*x^3)/a + 1)^(1/2)*hypergeom([1/6, 1/2], 7/6, -(b*x^3)/a))/(a*x + b*x^4)^(1/2)","B"
99,0,-1,225,0.000000,"\text{Not used}","int(1/(x^3*(a*x + b*x^4)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{b\,x^4+a\,x}} \,d x","Not used",1,"int(1/(x^3*(a*x + b*x^4)^(1/2)), x)","F"
100,0,-1,503,0.000000,"\text{Not used}","int(x^5/(a*x + b*x^4)^(1/2),x)","\int \frac{x^5}{\sqrt{b\,x^4+a\,x}} \,d x","Not used",1,"int(x^5/(a*x + b*x^4)^(1/2), x)","F"
101,0,-1,474,0.000000,"\text{Not used}","int(x^2/(a*x + b*x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{b\,x^4+a\,x}} \,d x","Not used",1,"int(x^2/(a*x + b*x^4)^(1/2), x)","F"
102,0,-1,497,0.000000,"\text{Not used}","int(1/(x*(a*x + b*x^4)^(1/2)),x)","\int \frac{1}{x\,\sqrt{b\,x^4+a\,x}} \,d x","Not used",1,"int(1/(x*(a*x + b*x^4)^(1/2)), x)","F"
103,0,-1,174,0.000000,"\text{Not used}","int(x^2/(a*x + b*x^(1/2))^(1/2),x)","\int \frac{x^2}{\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(x^2/(a*x + b*x^(1/2))^(1/2), x)","F"
104,0,-1,116,0.000000,"\text{Not used}","int(x/(a*x + b*x^(1/2))^(1/2),x)","\int \frac{x}{\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(x/(a*x + b*x^(1/2))^(1/2), x)","F"
105,1,72,56,5.243468,"\text{Not used}","int(1/(a*x + b*x^(1/2))^(1/2),x)","\frac{4\,x\,\left(\frac{3\,\sqrt{b}\,\sqrt{b+a\,\sqrt{x}}}{2\,a\,\sqrt{x}}+\frac{b^{3/2}\,\mathrm{asin}\left(\frac{\sqrt{a}\,x^{1/4}\,1{}\mathrm{i}}{\sqrt{b}}\right)\,3{}\mathrm{i}}{2\,a^{3/2}\,x^{3/4}}\right)\,\sqrt{\frac{a\,\sqrt{x}}{b}+1}}{3\,\sqrt{a\,x+b\,\sqrt{x}}}","Not used",1,"(4*x*((3*b^(1/2)*(b + a*x^(1/2))^(1/2))/(2*a*x^(1/2)) + (b^(3/2)*asin((a^(1/2)*x^(1/4)*1i)/b^(1/2))*3i)/(2*a^(3/2)*x^(3/4)))*((a*x^(1/2))/b + 1)^(1/2))/(3*(a*x + b*x^(1/2))^(1/2))","B"
106,0,-1,25,0.000000,"\text{Not used}","int(1/(x*(a*x + b*x^(1/2))^(1/2)),x)","\int \frac{1}{x\,\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(1/(x*(a*x + b*x^(1/2))^(1/2)), x)","F"
107,0,-1,84,0.000000,"\text{Not used}","int(1/(x^2*(a*x + b*x^(1/2))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(1/(x^2*(a*x + b*x^(1/2))^(1/2)), x)","F"
108,0,-1,142,0.000000,"\text{Not used}","int(1/(x^3*(a*x + b*x^(1/2))^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(1/(x^3*(a*x + b*x^(1/2))^(1/2)), x)","F"
109,0,-1,200,0.000000,"\text{Not used}","int(1/(x^4*(a*x + b*x^(1/2))^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(1/(x^4*(a*x + b*x^(1/2))^(1/2)), x)","F"
110,0,-1,197,0.000000,"\text{Not used}","int(x^3/(a*x + b*x^(1/2))^(3/2),x)","\int \frac{x^3}{{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(a*x + b*x^(1/2))^(3/2), x)","F"
111,0,-1,139,0.000000,"\text{Not used}","int(x^2/(a*x + b*x^(1/2))^(3/2),x)","\int \frac{x^2}{{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a*x + b*x^(1/2))^(3/2), x)","F"
112,0,-1,77,0.000000,"\text{Not used}","int(x/(a*x + b*x^(1/2))^(3/2),x)","\int \frac{x}{{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(x/(a*x + b*x^(1/2))^(3/2), x)","F"
113,1,40,25,5.425924,"\text{Not used}","int(1/(a*x + b*x^(1/2))^(3/2),x)","-\frac{4\,x\,\left(\frac{b}{a\,\sqrt{x}}+1\right)}{{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}\,\left(\sqrt{\frac{b}{a\,\sqrt{x}}+1}+1\right)}","Not used",1,"-(4*x*(b/(a*x^(1/2)) + 1))/((a*x + b*x^(1/2))^(3/2)*((b/(a*x^(1/2)) + 1)^(1/2) + 1))","B"
114,0,-1,79,0.000000,"\text{Not used}","int(1/(x*(a*x + b*x^(1/2))^(3/2)),x)","\int \frac{1}{x\,{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a*x + b*x^(1/2))^(3/2)), x)","F"
115,0,-1,137,0.000000,"\text{Not used}","int(1/(x^2*(a*x + b*x^(1/2))^(3/2)),x)","\int \frac{1}{x^2\,{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a*x + b*x^(1/2))^(3/2)), x)","F"
116,0,-1,195,0.000000,"\text{Not used}","int(1/(x^3*(a*x + b*x^(1/2))^(3/2)),x)","\int \frac{1}{x^3\,{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a*x + b*x^(1/2))^(3/2)), x)","F"
117,0,-1,204,0.000000,"\text{Not used}","int(x^(5/2)/(a*x + b*x^(1/2))^(1/2),x)","\int \frac{x^{5/2}}{\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(x^(5/2)/(a*x + b*x^(1/2))^(1/2), x)","F"
118,0,-1,146,0.000000,"\text{Not used}","int(x^(3/2)/(a*x + b*x^(1/2))^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(x^(3/2)/(a*x + b*x^(1/2))^(1/2), x)","F"
119,0,-1,87,0.000000,"\text{Not used}","int(x^(1/2)/(a*x + b*x^(1/2))^(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(x^(1/2)/(a*x + b*x^(1/2))^(1/2), x)","F"
120,0,-1,34,0.000000,"\text{Not used}","int(1/(x^(1/2)*(a*x + b*x^(1/2))^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(1/(x^(1/2)*(a*x + b*x^(1/2))^(1/2)), x)","F"
121,0,-1,54,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a*x + b*x^(1/2))^(1/2)),x)","\int \frac{1}{x^{3/2}\,\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(1/(x^(3/2)*(a*x + b*x^(1/2))^(1/2)), x)","F"
122,0,-1,112,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a*x + b*x^(1/2))^(1/2)),x)","\int \frac{1}{x^{5/2}\,\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(1/(x^(5/2)*(a*x + b*x^(1/2))^(1/2)), x)","F"
123,0,-1,170,0.000000,"\text{Not used}","int(1/(x^(7/2)*(a*x + b*x^(1/2))^(1/2)),x)","\int \frac{1}{x^{7/2}\,\sqrt{a\,x+b\,\sqrt{x}}} \,d x","Not used",1,"int(1/(x^(7/2)*(a*x + b*x^(1/2))^(1/2)), x)","F"
124,0,-1,171,0.000000,"\text{Not used}","int(x^(5/2)/(a*x + b*x^(1/2))^(3/2),x)","\int \frac{x^{5/2}}{{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(x^(5/2)/(a*x + b*x^(1/2))^(3/2), x)","F"
125,0,-1,113,0.000000,"\text{Not used}","int(x^(3/2)/(a*x + b*x^(1/2))^(3/2),x)","\int \frac{x^{3/2}}{{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(x^(3/2)/(a*x + b*x^(1/2))^(3/2), x)","F"
126,0,-1,60,0.000000,"\text{Not used}","int(x^(1/2)/(a*x + b*x^(1/2))^(3/2),x)","\int \frac{\sqrt{x}}{{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(x^(1/2)/(a*x + b*x^(1/2))^(3/2), x)","F"
127,0,-1,30,0.000000,"\text{Not used}","int(1/(x^(1/2)*(a*x + b*x^(1/2))^(3/2)),x)","\int \frac{1}{\sqrt{x}\,{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(1/2)*(a*x + b*x^(1/2))^(3/2)), x)","F"
128,0,-1,107,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a*x + b*x^(1/2))^(3/2)),x)","\int \frac{1}{x^{3/2}\,{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(3/2)*(a*x + b*x^(1/2))^(3/2)), x)","F"
129,0,-1,165,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a*x + b*x^(1/2))^(3/2)),x)","\int \frac{1}{x^{5/2}\,{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(5/2)*(a*x + b*x^(1/2))^(3/2)), x)","F"
130,0,-1,223,0.000000,"\text{Not used}","int(1/(x^(7/2)*(a*x + b*x^(1/2))^(3/2)),x)","\int \frac{1}{x^{7/2}\,{\left(a\,x+b\,\sqrt{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(7/2)*(a*x + b*x^(1/2))^(3/2)), x)","F"
131,0,-1,301,0.000000,"\text{Not used}","int(x^3*(a*x + b*x^(1/3))^(1/2),x)","\int x^3\,\sqrt{a\,x+b\,x^{1/3}} \,d x","Not used",1,"int(x^3*(a*x + b*x^(1/3))^(1/2), x)","F"
132,0,-1,411,0.000000,"\text{Not used}","int(x^2*(a*x + b*x^(1/3))^(1/2),x)","\int x^2\,\sqrt{a\,x+b\,x^{1/3}} \,d x","Not used",1,"int(x^2*(a*x + b*x^(1/3))^(1/2), x)","F"
133,0,-1,213,0.000000,"\text{Not used}","int(x*(a*x + b*x^(1/3))^(1/2),x)","\int x\,\sqrt{a\,x+b\,x^{1/3}} \,d x","Not used",1,"int(x*(a*x + b*x^(1/3))^(1/2), x)","F"
134,1,40,323,5.180268,"\text{Not used}","int((a*x + b*x^(1/3))^(1/2),x)","\frac{6\,x\,\sqrt{a\,x+b\,x^{1/3}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{7}{4};\ \frac{11}{4};\ -\frac{a\,x^{2/3}}{b}\right)}{7\,\sqrt{\frac{a\,x^{2/3}}{b}+1}}","Not used",1,"(6*x*(a*x + b*x^(1/3))^(1/2)*hypergeom([-1/2, 7/4], 11/4, -(a*x^(2/3))/b))/(7*((a*x^(2/3))/b + 1)^(1/2))","B"
135,0,-1,123,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(1/2)/x,x)","\int \frac{\sqrt{a\,x+b\,x^{1/3}}}{x} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(1/2)/x, x)","F"
136,0,-1,325,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(1/2)/x^2,x)","\int \frac{\sqrt{a\,x+b\,x^{1/3}}}{x^2} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(1/2)/x^2, x)","F"
137,0,-1,188,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(1/2)/x^3,x)","\int \frac{\sqrt{a\,x+b\,x^{1/3}}}{x^3} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(1/2)/x^3, x)","F"
138,0,-1,413,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(1/2)/x^4,x)","\int \frac{\sqrt{a\,x+b\,x^{1/3}}}{x^4} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(1/2)/x^4, x)","F"
139,0,-1,276,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(1/2)/x^5,x)","\int \frac{\sqrt{a\,x+b\,x^{1/3}}}{x^5} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(1/2)/x^5, x)","F"
140,0,-1,298,0.000000,"\text{Not used}","int(x^2*(a*x + b*x^(1/3))^(3/2),x)","\int x^2\,{\left(a\,x+b\,x^{1/3}\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a*x + b*x^(1/3))^(3/2), x)","F"
141,0,-1,408,0.000000,"\text{Not used}","int(x*(a*x + b*x^(1/3))^(3/2),x)","\int x\,{\left(a\,x+b\,x^{1/3}\right)}^{3/2} \,d x","Not used",1,"int(x*(a*x + b*x^(1/3))^(3/2), x)","F"
142,1,40,208,5.193487,"\text{Not used}","int((a*x + b*x^(1/3))^(3/2),x)","\frac{2\,x\,{\left(a\,x+b\,x^{1/3}\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{9}{4};\ \frac{13}{4};\ -\frac{a\,x^{2/3}}{b}\right)}{3\,{\left(\frac{a\,x^{2/3}}{b}+1\right)}^{3/2}}","Not used",1,"(2*x*(a*x + b*x^(1/3))^(3/2)*hypergeom([-3/2, 9/4], 13/4, -(a*x^(2/3))/b))/(3*((a*x^(2/3))/b + 1)^(3/2))","B"
143,0,-1,319,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(3/2)/x,x)","\int \frac{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}}{x} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(3/2)/x, x)","F"
144,0,-1,144,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(3/2)/x^2,x)","\int \frac{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(3/2)/x^2, x)","F"
145,0,-1,350,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(3/2)/x^3,x)","\int \frac{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(3/2)/x^3, x)","F"
146,0,-1,213,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(3/2)/x^4,x)","\int \frac{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(3/2)/x^4, x)","F"
147,0,-1,438,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(3/2)/x^5,x)","\int \frac{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}}{x^5} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(3/2)/x^5, x)","F"
148,0,-1,301,0.000000,"\text{Not used}","int((a*x + b*x^(1/3))^(3/2)/x^6,x)","\int \frac{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}}{x^6} \,d x","Not used",1,"int((a*x + b*x^(1/3))^(3/2)/x^6, x)","F"
149,0,-1,304,0.000000,"\text{Not used}","int(x^4/(a*x + b*x^(1/3))^(1/2),x)","\int \frac{x^4}{\sqrt{a\,x+b\,x^{1/3}}} \,d x","Not used",1,"int(x^4/(a*x + b*x^(1/3))^(1/2), x)","F"
150,0,-1,414,0.000000,"\text{Not used}","int(x^3/(a*x + b*x^(1/3))^(1/2),x)","\int \frac{x^3}{\sqrt{a\,x+b\,x^{1/3}}} \,d x","Not used",1,"int(x^3/(a*x + b*x^(1/3))^(1/2), x)","F"
151,0,-1,216,0.000000,"\text{Not used}","int(x^2/(a*x + b*x^(1/3))^(1/2),x)","\int \frac{x^2}{\sqrt{a\,x+b\,x^{1/3}}} \,d x","Not used",1,"int(x^2/(a*x + b*x^(1/3))^(1/2), x)","F"
152,0,-1,326,0.000000,"\text{Not used}","int(x/(a*x + b*x^(1/3))^(1/2),x)","\int \frac{x}{\sqrt{a\,x+b\,x^{1/3}}} \,d x","Not used",1,"int(x/(a*x + b*x^(1/3))^(1/2), x)","F"
153,1,40,126,5.267719,"\text{Not used}","int(1/(a*x + b*x^(1/3))^(1/2),x)","\frac{2\,x\,\sqrt{\frac{b}{a\,x^{2/3}}+1}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{1}{2};\ \frac{1}{4};\ -\frac{b}{a\,x^{2/3}}\right)}{\sqrt{a\,x+b\,x^{1/3}}}","Not used",1,"(2*x*(b/(a*x^(2/3)) + 1)^(1/2)*hypergeom([-3/4, 1/2], 1/4, -b/(a*x^(2/3))))/(a*x + b*x^(1/3))^(1/2)","B"
154,0,-1,294,0.000000,"\text{Not used}","int(1/(x*(a*x + b*x^(1/3))^(1/2)),x)","\int \frac{1}{x\,\sqrt{a\,x+b\,x^{1/3}}} \,d x","Not used",1,"int(1/(x*(a*x + b*x^(1/3))^(1/2)), x)","F"
155,0,-1,163,0.000000,"\text{Not used}","int(1/(x^2*(a*x + b*x^(1/3))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{a\,x+b\,x^{1/3}}} \,d x","Not used",1,"int(1/(x^2*(a*x + b*x^(1/3))^(1/2)), x)","F"
156,0,-1,388,0.000000,"\text{Not used}","int(1/(x^3*(a*x + b*x^(1/3))^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a\,x+b\,x^{1/3}}} \,d x","Not used",1,"int(1/(x^3*(a*x + b*x^(1/3))^(1/2)), x)","F"
157,0,-1,251,0.000000,"\text{Not used}","int(1/(x^4*(a*x + b*x^(1/3))^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{a\,x+b\,x^{1/3}}} \,d x","Not used",1,"int(1/(x^4*(a*x + b*x^(1/3))^(1/2)), x)","F"
158,0,-1,437,0.000000,"\text{Not used}","int(x^4/(a*x + b*x^(1/3))^(3/2),x)","\int \frac{x^4}{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(a*x + b*x^(1/3))^(3/2), x)","F"
159,0,-1,239,0.000000,"\text{Not used}","int(x^3/(a*x + b*x^(1/3))^(3/2),x)","\int \frac{x^3}{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(a*x + b*x^(1/3))^(3/2), x)","F"
160,0,-1,349,0.000000,"\text{Not used}","int(x^2/(a*x + b*x^(1/3))^(3/2),x)","\int \frac{x^2}{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a*x + b*x^(1/3))^(3/2), x)","F"
161,0,-1,149,0.000000,"\text{Not used}","int(x/(a*x + b*x^(1/3))^(3/2),x)","\int \frac{x}{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}} \,d x","Not used",1,"int(x/(a*x + b*x^(1/3))^(3/2), x)","F"
162,1,40,296,5.350572,"\text{Not used}","int(1/(a*x + b*x^(1/3))^(3/2),x)","\frac{2\,x\,{\left(\frac{a\,x^{2/3}}{b}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},\frac{3}{2};\ \frac{7}{4};\ -\frac{a\,x^{2/3}}{b}\right)}{{\left(a\,x+b\,x^{1/3}\right)}^{3/2}}","Not used",1,"(2*x*((a*x^(2/3))/b + 1)^(3/2)*hypergeom([3/4, 3/2], 7/4, -(a*x^(2/3))/b))/(a*x + b*x^(1/3))^(3/2)","B"
163,0,-1,158,0.000000,"\text{Not used}","int(1/(x*(a*x + b*x^(1/3))^(3/2)),x)","\int \frac{1}{x\,{\left(a\,x+b\,x^{1/3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a*x + b*x^(1/3))^(3/2)), x)","F"
164,0,-1,383,0.000000,"\text{Not used}","int(1/(x^2*(a*x + b*x^(1/3))^(3/2)),x)","\int \frac{1}{x^2\,{\left(a\,x+b\,x^{1/3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a*x + b*x^(1/3))^(3/2)), x)","F"
165,0,-1,246,0.000000,"\text{Not used}","int(1/(x^3*(a*x + b*x^(1/3))^(3/2)),x)","\int \frac{1}{x^3\,{\left(a\,x+b\,x^{1/3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a*x + b*x^(1/3))^(3/2)), x)","F"
166,0,-1,471,0.000000,"\text{Not used}","int(1/(x^4*(a*x + b*x^(1/3))^(3/2)),x)","\int \frac{1}{x^4\,{\left(a\,x+b\,x^{1/3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*(a*x + b*x^(1/3))^(3/2)), x)","F"
167,0,-1,371,0.000000,"\text{Not used}","int(x^3*(a*x + b*x^(2/3))^(1/2),x)","\int x^3\,\sqrt{a\,x+b\,x^{2/3}} \,d x","Not used",1,"int(x^3*(a*x + b*x^(2/3))^(1/2), x)","F"
168,0,-1,283,0.000000,"\text{Not used}","int(x^2*(a*x + b*x^(2/3))^(1/2),x)","\int x^2\,\sqrt{a\,x+b\,x^{2/3}} \,d x","Not used",1,"int(x^2*(a*x + b*x^(2/3))^(1/2), x)","F"
169,0,-1,195,0.000000,"\text{Not used}","int(x*(a*x + b*x^(2/3))^(1/2),x)","\int x\,\sqrt{a\,x+b\,x^{2/3}} \,d x","Not used",1,"int(x*(a*x + b*x^(2/3))^(1/2), x)","F"
170,1,40,109,5.192267,"\text{Not used}","int((a*x + b*x^(2/3))^(1/2),x)","\frac{3\,x\,\sqrt{a\,x+b\,x^{2/3}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},4;\ 5;\ -\frac{a\,x^{1/3}}{b}\right)}{4\,\sqrt{\frac{a\,x^{1/3}}{b}+1}}","Not used",1,"(3*x*(a*x + b*x^(2/3))^(1/2)*hypergeom([-1/2, 4], 5, -(a*x^(1/3))/b))/(4*((a*x^(1/3))/b + 1)^(1/2))","B"
171,0,-1,23,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(1/2)/x,x)","\int \frac{\sqrt{a\,x+b\,x^{2/3}}}{x} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(1/2)/x, x)","F"
172,0,-1,90,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(1/2)/x^2,x)","\int \frac{\sqrt{a\,x+b\,x^{2/3}}}{x^2} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(1/2)/x^2, x)","F"
173,0,-1,178,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(1/2)/x^3,x)","\int \frac{\sqrt{a\,x+b\,x^{2/3}}}{x^3} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(1/2)/x^3, x)","F"
174,0,-1,266,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(1/2)/x^4,x)","\int \frac{\sqrt{a\,x+b\,x^{2/3}}}{x^4} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(1/2)/x^4, x)","F"
175,0,-1,354,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(1/2)/x^5,x)","\int \frac{\sqrt{a\,x+b\,x^{2/3}}}{x^5} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(1/2)/x^5, x)","F"
176,0,-1,343,0.000000,"\text{Not used}","int(x^2*(a*x + b*x^(2/3))^(3/2),x)","\int x^2\,{\left(a\,x+b\,x^{2/3}\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a*x + b*x^(2/3))^(3/2), x)","F"
177,0,-1,255,0.000000,"\text{Not used}","int(x*(a*x + b*x^(2/3))^(3/2),x)","\int x\,{\left(a\,x+b\,x^{2/3}\right)}^{3/2} \,d x","Not used",1,"int(x*(a*x + b*x^(2/3))^(3/2), x)","F"
178,1,40,169,5.141470,"\text{Not used}","int((a*x + b*x^(2/3))^(3/2),x)","\frac{x\,{\left(a\,x+b\,x^{2/3}\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},6;\ 7;\ -\frac{a\,x^{1/3}}{b}\right)}{2\,{\left(\frac{a\,x^{1/3}}{b}+1\right)}^{3/2}}","Not used",1,"(x*(a*x + b*x^(2/3))^(3/2)*hypergeom([-3/2, 6], 7, -(a*x^(1/3))/b))/(2*((a*x^(1/3))/b + 1)^(3/2))","B"
179,0,-1,84,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(3/2)/x,x)","\int \frac{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}}{x} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(3/2)/x, x)","F"
180,0,-1,78,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(3/2)/x^2,x)","\int \frac{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(3/2)/x^2, x)","F"
181,0,-1,113,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(3/2)/x^3,x)","\int \frac{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(3/2)/x^3, x)","F"
182,0,-1,203,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(3/2)/x^4,x)","\int \frac{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(3/2)/x^4, x)","F"
183,0,-1,291,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(3/2)/x^5,x)","\int \frac{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}}{x^5} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(3/2)/x^5, x)","F"
184,0,-1,379,0.000000,"\text{Not used}","int((a*x + b*x^(2/3))^(3/2)/x^6,x)","\int \frac{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}}{x^6} \,d x","Not used",1,"int((a*x + b*x^(2/3))^(3/2)/x^6, x)","F"
185,0,-1,401,0.000000,"\text{Not used}","int(x^4/(a*x + b*x^(2/3))^(1/2),x)","\int \frac{x^4}{\sqrt{a\,x+b\,x^{2/3}}} \,d x","Not used",1,"int(x^4/(a*x + b*x^(2/3))^(1/2), x)","F"
186,0,-1,313,0.000000,"\text{Not used}","int(x^3/(a*x + b*x^(2/3))^(1/2),x)","\int \frac{x^3}{\sqrt{a\,x+b\,x^{2/3}}} \,d x","Not used",1,"int(x^3/(a*x + b*x^(2/3))^(1/2), x)","F"
187,0,-1,225,0.000000,"\text{Not used}","int(x^2/(a*x + b*x^(2/3))^(1/2),x)","\int \frac{x^2}{\sqrt{a\,x+b\,x^{2/3}}} \,d x","Not used",1,"int(x^2/(a*x + b*x^(2/3))^(1/2), x)","F"
188,0,-1,137,0.000000,"\text{Not used}","int(x/(a*x + b*x^(2/3))^(1/2),x)","\int \frac{x}{\sqrt{a\,x+b\,x^{2/3}}} \,d x","Not used",1,"int(x/(a*x + b*x^(2/3))^(1/2), x)","F"
189,1,40,47,5.219093,"\text{Not used}","int(1/(a*x + b*x^(2/3))^(1/2),x)","\frac{3\,x\,\sqrt{\frac{a\,x^{1/3}}{b}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},2;\ 3;\ -\frac{a\,x^{1/3}}{b}\right)}{2\,\sqrt{a\,x+b\,x^{2/3}}}","Not used",1,"(3*x*((a*x^(1/3))/b + 1)^(1/2)*hypergeom([1/2, 2], 3, -(a*x^(1/3))/b))/(2*(a*x + b*x^(2/3))^(1/2))","B"
190,0,-1,61,0.000000,"\text{Not used}","int(1/(x*(a*x + b*x^(2/3))^(1/2)),x)","\int \frac{1}{x\,\sqrt{a\,x+b\,x^{2/3}}} \,d x","Not used",1,"int(1/(x*(a*x + b*x^(2/3))^(1/2)), x)","F"
191,0,-1,153,0.000000,"\text{Not used}","int(1/(x^2*(a*x + b*x^(2/3))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{a\,x+b\,x^{2/3}}} \,d x","Not used",1,"int(1/(x^2*(a*x + b*x^(2/3))^(1/2)), x)","F"
192,0,-1,241,0.000000,"\text{Not used}","int(1/(x^3*(a*x + b*x^(2/3))^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a\,x+b\,x^{2/3}}} \,d x","Not used",1,"int(1/(x^3*(a*x + b*x^(2/3))^(1/2)), x)","F"
193,0,-1,329,0.000000,"\text{Not used}","int(1/(x^4*(a*x + b*x^(2/3))^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{a\,x+b\,x^{2/3}}} \,d x","Not used",1,"int(1/(x^4*(a*x + b*x^(2/3))^(1/2)), x)","F"
194,0,-1,336,0.000000,"\text{Not used}","int(x^4/(a*x + b*x^(2/3))^(3/2),x)","\int \frac{x^4}{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(a*x + b*x^(2/3))^(3/2), x)","F"
195,0,-1,248,0.000000,"\text{Not used}","int(x^3/(a*x + b*x^(2/3))^(3/2),x)","\int \frac{x^3}{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(a*x + b*x^(2/3))^(3/2), x)","F"
196,0,-1,160,0.000000,"\text{Not used}","int(x^2/(a*x + b*x^(2/3))^(3/2),x)","\int \frac{x^2}{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a*x + b*x^(2/3))^(3/2), x)","F"
197,0,-1,68,0.000000,"\text{Not used}","int(x/(a*x + b*x^(2/3))^(3/2),x)","\int \frac{x}{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}} \,d x","Not used",1,"int(x/(a*x + b*x^(2/3))^(3/2), x)","F"
198,1,40,60,5.358312,"\text{Not used}","int(1/(a*x + b*x^(2/3))^(3/2),x)","-\frac{2\,x\,{\left(\frac{b}{a\,x^{1/3}}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{3}{2};\ \frac{5}{2};\ -\frac{b}{a\,x^{1/3}}\right)}{{\left(a\,x+b\,x^{2/3}\right)}^{3/2}}","Not used",1,"-(2*x*(b/(a*x^(1/3)) + 1)^(3/2)*hypergeom([3/2, 3/2], 5/2, -b/(a*x^(1/3))))/(a*x + b*x^(2/3))^(3/2)","B"
199,0,-1,146,0.000000,"\text{Not used}","int(1/(x*(a*x + b*x^(2/3))^(3/2)),x)","\int \frac{1}{x\,{\left(a\,x+b\,x^{2/3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a*x + b*x^(2/3))^(3/2)), x)","F"
200,0,-1,236,0.000000,"\text{Not used}","int(1/(x^2*(a*x + b*x^(2/3))^(3/2)),x)","\int \frac{1}{x^2\,{\left(a\,x+b\,x^{2/3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a*x + b*x^(2/3))^(3/2)), x)","F"
201,0,-1,324,0.000000,"\text{Not used}","int(1/(x^3*(a*x + b*x^(2/3))^(3/2)),x)","\int \frac{1}{x^3\,{\left(a\,x+b\,x^{2/3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a*x + b*x^(2/3))^(3/2)), x)","F"
202,0,-1,412,0.000000,"\text{Not used}","int(1/(x^4*(a*x + b*x^(2/3))^(3/2)),x)","\int \frac{1}{x^4\,{\left(a\,x+b\,x^{2/3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*(a*x + b*x^(2/3))^(3/2)), x)","F"
203,1,13,17,0.021764,"\text{Not used}","int(x^2*(a*x^2 + b*x^3),x)","\frac{x^5\,\left(6\,a+5\,b\,x\right)}{30}","Not used",1,"(x^5*(6*a + 5*b*x))/30","B"
204,1,13,17,0.022211,"\text{Not used}","int(x*(a*x^2 + b*x^3),x)","\frac{x^4\,\left(5\,a+4\,b\,x\right)}{20}","Not used",1,"(x^4*(5*a + 4*b*x))/20","B"
205,1,13,17,0.021510,"\text{Not used}","int(a*x^2 + b*x^3,x)","\frac{x^3\,\left(4\,a+3\,b\,x\right)}{12}","Not used",1,"(x^3*(4*a + 3*b*x))/12","B"
206,1,13,17,0.020276,"\text{Not used}","int((a*x^2 + b*x^3)/x,x)","\frac{x^2\,\left(3\,a+2\,b\,x\right)}{6}","Not used",1,"(x^2*(3*a + 2*b*x))/6","B"
207,1,10,12,0.016868,"\text{Not used}","int((a*x^2 + b*x^3)/x^2,x)","\frac{b\,x^2}{2}+a\,x","Not used",1,"a*x + (b*x^2)/2","B"
208,1,24,30,0.039502,"\text{Not used}","int(x^2*(a*x^2 + b*x^3)^2,x)","\frac{a^2\,x^7}{7}+\frac{a\,b\,x^8}{4}+\frac{b^2\,x^9}{9}","Not used",1,"(a^2*x^7)/7 + (b^2*x^9)/9 + (a*b*x^8)/4","B"
209,1,24,30,0.032917,"\text{Not used}","int(x*(a*x^2 + b*x^3)^2,x)","\frac{a^2\,x^6}{6}+\frac{2\,a\,b\,x^7}{7}+\frac{b^2\,x^8}{8}","Not used",1,"(a^2*x^6)/6 + (b^2*x^8)/8 + (2*a*b*x^7)/7","B"
210,1,24,30,0.030567,"\text{Not used}","int((a*x^2 + b*x^3)^2,x)","\frac{a^2\,x^5}{5}+\frac{a\,b\,x^6}{3}+\frac{b^2\,x^7}{7}","Not used",1,"(a^2*x^5)/5 + (b^2*x^7)/7 + (a*b*x^6)/3","B"
211,1,24,30,0.034313,"\text{Not used}","int((a*x^2 + b*x^3)^2/x,x)","\frac{a^2\,x^4}{4}+\frac{2\,a\,b\,x^5}{5}+\frac{b^2\,x^6}{6}","Not used",1,"(a^2*x^4)/4 + (b^2*x^6)/6 + (2*a*b*x^5)/5","B"
212,1,24,30,0.031732,"\text{Not used}","int((a*x^2 + b*x^3)^2/x^2,x)","\frac{a^2\,x^3}{3}+\frac{a\,b\,x^4}{2}+\frac{b^2\,x^5}{5}","Not used",1,"(a^2*x^3)/3 + (b^2*x^5)/5 + (a*b*x^4)/2","B"
213,1,51,57,5.092530,"\text{Not used}","int(x^6/(a*x^2 + b*x^3),x)","\frac{x^4}{4\,b}+\frac{a^4\,\ln\left(a+b\,x\right)}{b^5}-\frac{a\,x^3}{3\,b^2}-\frac{a^3\,x}{b^4}+\frac{a^2\,x^2}{2\,b^3}","Not used",1,"x^4/(4*b) + (a^4*log(a + b*x))/b^5 - (a*x^3)/(3*b^2) - (a^3*x)/b^4 + (a^2*x^2)/(2*b^3)","B"
214,1,40,44,0.042038,"\text{Not used}","int(x^5/(a*x^2 + b*x^3),x)","\frac{x^3}{3\,b}-\frac{a^3\,\ln\left(a+b\,x\right)}{b^4}-\frac{a\,x^2}{2\,b^2}+\frac{a^2\,x}{b^3}","Not used",1,"x^3/(3*b) - (a^3*log(a + b*x))/b^4 - (a*x^2)/(2*b^2) + (a^2*x)/b^3","B"
215,1,29,31,0.041282,"\text{Not used}","int(x^4/(a*x^2 + b*x^3),x)","\frac{2\,a^2\,\ln\left(a+b\,x\right)+b^2\,x^2-2\,a\,b\,x}{2\,b^3}","Not used",1,"(2*a^2*log(a + b*x) + b^2*x^2 - 2*a*b*x)/(2*b^3)","B"
216,1,18,18,0.036082,"\text{Not used}","int(x^3/(a*x^2 + b*x^3),x)","-\frac{a\,\ln\left(a+b\,x\right)-b\,x}{b^2}","Not used",1,"-(a*log(a + b*x) - b*x)/b^2","B"
217,1,10,10,0.021840,"\text{Not used}","int(x^2/(a*x^2 + b*x^3),x)","\frac{\ln\left(a+b\,x\right)}{b}","Not used",1,"log(a + b*x)/b","B"
218,1,15,18,5.120248,"\text{Not used}","int(x/(a*x^2 + b*x^3),x)","-\frac{2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a}","Not used",1,"-(2*atanh((2*b*x)/a + 1))/a","B"
219,1,25,28,0.052161,"\text{Not used}","int(1/(a*x^2 + b*x^3),x)","\frac{2\,b\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^2}-\frac{1}{a\,x}","Not used",1,"(2*b*atanh((2*b*x)/a + 1))/a^2 - 1/(a*x)","B"
220,1,38,42,0.058556,"\text{Not used}","int(1/(x*(a*x^2 + b*x^3)),x)","-\frac{\frac{a^2}{2}-a\,b\,x}{a^3\,x^2}-\frac{2\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^3}","Not used",1,"- (a^2/2 - a*b*x)/(a^3*x^2) - (2*b^2*atanh((2*b*x)/a + 1))/a^3","B"
221,1,48,56,0.060777,"\text{Not used}","int(1/(x^2*(a*x^2 + b*x^3)),x)","\frac{2\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^4}-\frac{\frac{a^3}{3}-\frac{a^2\,b\,x}{2}+a\,b^2\,x^2}{a^4\,x^3}","Not used",1,"(2*b^3*atanh((2*b*x)/a + 1))/a^4 - (a^3/3 + a*b^2*x^2 - (a^2*b*x)/2)/(a^4*x^3)","B"
222,1,62,58,0.038467,"\text{Not used}","int(x^8/(a*x^2 + b*x^3)^2,x)","\frac{x^3}{3\,b^2}-\frac{4\,a^3\,\ln\left(a+b\,x\right)}{b^5}-\frac{a\,x^2}{b^3}+\frac{3\,a^2\,x}{b^4}-\frac{a^4}{b\,\left(x\,b^5+a\,b^4\right)}","Not used",1,"x^3/(3*b^2) - (4*a^3*log(a + b*x))/b^5 - (a*x^2)/b^3 + (3*a^2*x)/b^4 - a^4/(b*(a*b^4 + b^5*x))","B"
223,1,50,46,0.045174,"\text{Not used}","int(x^7/(a*x^2 + b*x^3)^2,x)","\frac{x^2}{2\,b^2}+\frac{3\,a^2\,\ln\left(a+b\,x\right)}{b^4}+\frac{a^3}{b\,\left(x\,b^4+a\,b^3\right)}-\frac{2\,a\,x}{b^3}","Not used",1,"x^2/(2*b^2) + (3*a^2*log(a + b*x))/b^4 + a^3/(b*(a*b^3 + b^4*x)) - (2*a*x)/b^3","B"
224,1,36,33,0.040313,"\text{Not used}","int(x^6/(a*x^2 + b*x^3)^2,x)","\frac{x}{b^2}-\frac{a^2}{x\,b^4+a\,b^3}-\frac{2\,a\,\ln\left(a+b\,x\right)}{b^3}","Not used",1,"x/b^2 - a^2/(a*b^3 + b^4*x) - (2*a*log(a + b*x))/b^3","B"
225,1,23,23,0.036793,"\text{Not used}","int(x^5/(a*x^2 + b*x^3)^2,x)","\frac{\ln\left(a+b\,x\right)}{b^2}+\frac{a}{b^2\,\left(a+b\,x\right)}","Not used",1,"log(a + b*x)/b^2 + a/(b^2*(a + b*x))","B"
226,1,12,12,5.169261,"\text{Not used}","int(x^4/(a*x^2 + b*x^3)^2,x)","-\frac{1}{b\,\left(a+b\,x\right)}","Not used",1,"-1/(b*(a + b*x))","B"
227,1,26,29,0.044549,"\text{Not used}","int(x^3/(a*x^2 + b*x^3)^2,x)","\frac{1}{a^2+b\,x\,a}-\frac{2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^2}","Not used",1,"1/(a^2 + a*b*x) - (2*atanh((2*b*x)/a + 1))/a^2","B"
228,1,41,42,5.343487,"\text{Not used}","int(x^2/(a*x^2 + b*x^3)^2,x)","\frac{4\,b\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^3}-\frac{\frac{1}{a}+\frac{2\,b\,x}{a^2}}{b\,x^2+a\,x}","Not used",1,"(4*b*atanh((2*b*x)/a + 1))/a^3 - (1/a + (2*b*x)/a^2)/(a*x + b*x^2)","B"
229,1,57,58,5.314646,"\text{Not used}","int(x/(a*x^2 + b*x^3)^2,x)","\frac{\frac{3\,b^2\,x^2}{a^3}-\frac{1}{2\,a}+\frac{3\,b\,x}{2\,a^2}}{b\,x^3+a\,x^2}-\frac{6\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^4}","Not used",1,"((3*b^2*x^2)/a^3 - 1/(2*a) + (3*b*x)/(2*a^2))/(a*x^2 + b*x^3) - (6*b^2*atanh((2*b*x)/a + 1))/a^4","B"
230,1,69,69,0.071476,"\text{Not used}","int(1/(a*x^2 + b*x^3)^2,x)","\frac{8\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^5}-\frac{\frac{1}{3\,a}+\frac{2\,b^2\,x^2}{a^3}+\frac{4\,b^3\,x^3}{a^4}-\frac{2\,b\,x}{3\,a^2}}{b\,x^4+a\,x^3}","Not used",1,"(8*b^3*atanh((2*b*x)/a + 1))/a^5 - (1/(3*a) + (2*b^2*x^2)/a^3 + (4*b^3*x^3)/a^4 - (2*b*x)/(3*a^2))/(a*x^3 + b*x^4)","B"
231,1,79,84,0.076808,"\text{Not used}","int(1/(x*(a*x^2 + b*x^3)^2),x)","\frac{\frac{5\,b^3\,x^3}{2\,a^4}-\frac{5\,b^2\,x^2}{6\,a^3}-\frac{1}{4\,a}+\frac{5\,b^4\,x^4}{a^5}+\frac{5\,b\,x}{12\,a^2}}{b\,x^5+a\,x^4}-\frac{10\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^6}","Not used",1,"((5*b^3*x^3)/(2*a^4) - (5*b^2*x^2)/(6*a^3) - 1/(4*a) + (5*b^4*x^4)/a^5 + (5*b*x)/(12*a^2))/(a*x^4 + b*x^5) - (10*b^4*atanh((2*b*x)/a + 1))/a^6","B"
232,1,62,105,5.487093,"\text{Not used}","int(x^2*(a*x^2 + b*x^3)^(1/2),x)","\frac{2\,\sqrt{b\,x^3+a\,x^2}\,\left(-16\,a^4+8\,a^3\,b\,x-6\,a^2\,b^2\,x^2+5\,a\,b^3\,x^3+35\,b^4\,x^4\right)}{315\,b^4\,x}","Not used",1,"(2*(a*x^2 + b*x^3)^(1/2)*(35*b^4*x^4 - 16*a^4 + 5*a*b^3*x^3 - 6*a^2*b^2*x^2 + 8*a^3*b*x))/(315*b^4*x)","B"
233,1,51,80,5.475353,"\text{Not used}","int(x*(a*x^2 + b*x^3)^(1/2),x)","\frac{2\,\sqrt{b\,x^3+a\,x^2}\,\left(8\,a^3-4\,a^2\,b\,x+3\,a\,b^2\,x^2+15\,b^3\,x^3\right)}{105\,b^3\,x}","Not used",1,"(2*(a*x^2 + b*x^3)^(1/2)*(8*a^3 + 15*b^3*x^3 + 3*a*b^2*x^2 - 4*a^2*b*x))/(105*b^3*x)","B"
234,1,39,52,5.301585,"\text{Not used}","int((a*x^2 + b*x^3)^(1/2),x)","\frac{2\,\sqrt{b\,x^3+a\,x^2}\,\left(-2\,a^2+a\,b\,x+3\,b^2\,x^2\right)}{15\,b^2\,x}","Not used",1,"(2*(a*x^2 + b*x^3)^(1/2)*(3*b^2*x^2 - 2*a^2 + a*b*x))/(15*b^2*x)","B"
235,0,-1,25,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(1/2)/x,x)","\int \frac{\sqrt{b\,x^3+a\,x^2}}{x} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(1/2)/x, x)","F"
236,1,73,51,5.357124,"\text{Not used}","int((a*x^2 + b*x^3)^(1/2)/x^2,x)","\frac{2\,\sqrt{b\,x^3+a\,x^2}}{x}+\frac{\sqrt{a}\,\mathrm{asin}\left(\frac{\sqrt{a}\,\sqrt{\frac{1}{x}}\,1{}\mathrm{i}}{\sqrt{b}}\right)\,\sqrt{b\,x^3+a\,x^2}\,{\left(\frac{1}{x}\right)}^{3/2}\,2{}\mathrm{i}}{\sqrt{b}\,\sqrt{\frac{a}{b\,x}+1}}","Not used",1,"(2*(a*x^2 + b*x^3)^(1/2))/x + (a^(1/2)*asin((a^(1/2)*(1/x)^(1/2)*1i)/b^(1/2))*(a*x^2 + b*x^3)^(1/2)*(1/x)^(3/2)*2i)/(b^(1/2)*(a/(b*x) + 1)^(1/2))","B"
237,0,-1,52,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(1/2)/x^3,x)","\int \frac{\sqrt{b\,x^3+a\,x^2}}{x^3} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(1/2)/x^3, x)","F"
238,0,-1,84,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(1/2)/x^4,x)","\int \frac{\sqrt{b\,x^3+a\,x^2}}{x^4} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(1/2)/x^4, x)","F"
239,0,-1,112,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(1/2)/x^5,x)","\int \frac{\sqrt{b\,x^3+a\,x^2}}{x^5} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(1/2)/x^5, x)","F"
240,1,80,161,5.237656,"\text{Not used}","int(x^2*(a*x^2 + b*x^3)^(3/2),x)","-\frac{2\,\sqrt{b\,x^3+a\,x^2}\,{\left(a+b\,x\right)}^2\,\left(256\,a^5-640\,a^4\,b\,x+1120\,a^3\,b^2\,x^2-1680\,a^2\,b^3\,x^3+2310\,a\,b^4\,x^4-3003\,b^5\,x^5\right)}{45045\,b^6\,x}","Not used",1,"-(2*(a*x^2 + b*x^3)^(1/2)*(a + b*x)^2*(256*a^5 - 3003*b^5*x^5 + 2310*a*b^4*x^4 + 1120*a^3*b^2*x^2 - 1680*a^2*b^3*x^3 - 640*a^4*b*x))/(45045*b^6*x)","B"
241,1,69,136,5.237376,"\text{Not used}","int(x*(a*x^2 + b*x^3)^(3/2),x)","\frac{2\,\sqrt{b\,x^3+a\,x^2}\,{\left(a+b\,x\right)}^2\,\left(128\,a^4-320\,a^3\,b\,x+560\,a^2\,b^2\,x^2-840\,a\,b^3\,x^3+1155\,b^4\,x^4\right)}{15015\,b^5\,x}","Not used",1,"(2*(a*x^2 + b*x^3)^(1/2)*(a + b*x)^2*(128*a^4 + 1155*b^4*x^4 - 840*a*b^3*x^3 + 560*a^2*b^2*x^2 - 320*a^3*b*x))/(15015*b^5*x)","B"
242,1,58,108,5.186621,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2),x)","-\frac{2\,\sqrt{b\,x^3+a\,x^2}\,{\left(a+b\,x\right)}^2\,\left(16\,a^3-40\,a^2\,b\,x+70\,a\,b^2\,x^2-105\,b^3\,x^3\right)}{1155\,b^4\,x}","Not used",1,"-(2*(a*x^2 + b*x^3)^(1/2)*(a + b*x)^2*(16*a^3 - 105*b^3*x^3 + 70*a*b^2*x^2 - 40*a^2*b*x))/(1155*b^4*x)","B"
243,1,47,80,5.175346,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2)/x,x)","\frac{2\,\sqrt{b\,x^3+a\,x^2}\,{\left(a+b\,x\right)}^2\,\left(8\,a^2-20\,a\,b\,x+35\,b^2\,x^2\right)}{315\,b^3\,x}","Not used",1,"(2*(a*x^2 + b*x^3)^(1/2)*(a + b*x)^2*(8*a^2 + 35*b^2*x^2 - 20*a*b*x))/(315*b^3*x)","B"
244,1,36,52,5.173596,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2)/x^2,x)","-\frac{2\,\left(2\,a-5\,b\,x\right)\,\sqrt{b\,x^3+a\,x^2}\,{\left(a+b\,x\right)}^2}{35\,b^2\,x}","Not used",1,"-(2*(2*a - 5*b*x)*(a*x^2 + b*x^3)^(1/2)*(a + b*x)^2)/(35*b^2*x)","B"
245,1,28,25,5.618285,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2)/x^3,x)","\frac{2\,\sqrt{b\,x^3+a\,x^2}\,{\left(a+b\,x\right)}^2}{5\,b\,x}","Not used",1,"(2*(a*x^2 + b*x^3)^(1/2)*(a + b*x)^2)/(5*b*x)","B"
246,0,-1,74,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2)/x^4,x)","\int \frac{{\left(b\,x^3+a\,x^2\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(3/2)/x^4, x)","F"
247,0,-1,73,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2)/x^5,x)","\int \frac{{\left(b\,x^3+a\,x^2\right)}^{3/2}}{x^5} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(3/2)/x^5, x)","F"
248,0,-1,81,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2)/x^6,x)","\int \frac{{\left(b\,x^3+a\,x^2\right)}^{3/2}}{x^6} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(3/2)/x^6, x)","F"
249,0,-1,109,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2)/x^7,x)","\int \frac{{\left(b\,x^3+a\,x^2\right)}^{3/2}}{x^7} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(3/2)/x^7, x)","F"
250,0,-1,137,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2)/x^8,x)","\int \frac{{\left(b\,x^3+a\,x^2\right)}^{3/2}}{x^8} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(3/2)/x^8, x)","F"
251,0,-1,165,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^(3/2)/x^9,x)","\int \frac{{\left(b\,x^3+a\,x^2\right)}^{3/2}}{x^9} \,d x","Not used",1,"int((a*x^2 + b*x^3)^(3/2)/x^9, x)","F"
252,1,51,103,5.188334,"\text{Not used}","int(x^4/(a*x^2 + b*x^3)^(1/2),x)","-\frac{2\,\sqrt{b\,x^3+a\,x^2}\,\left(16\,a^3-8\,a^2\,b\,x+6\,a\,b^2\,x^2-5\,b^3\,x^3\right)}{35\,b^4\,x}","Not used",1,"-(2*(a*x^2 + b*x^3)^(1/2)*(16*a^3 - 5*b^3*x^3 + 6*a*b^2*x^2 - 8*a^2*b*x))/(35*b^4*x)","B"
253,1,40,75,5.200764,"\text{Not used}","int(x^3/(a*x^2 + b*x^3)^(1/2),x)","\frac{2\,\sqrt{b\,x^3+a\,x^2}\,\left(8\,a^2-4\,a\,b\,x+3\,b^2\,x^2\right)}{15\,b^3\,x}","Not used",1,"(2*(a*x^2 + b*x^3)^(1/2)*(8*a^2 + 3*b^2*x^2 - 4*a*b*x))/(15*b^3*x)","B"
254,1,31,49,5.164168,"\text{Not used}","int(x^2/(a*x^2 + b*x^3)^(1/2),x)","-\frac{\left(\frac{4\,a}{3\,b^2}-\frac{2\,x}{3\,b}\right)\,\sqrt{b\,x^3+a\,x^2}}{x}","Not used",1,"-(((4*a)/(3*b^2) - (2*x)/(3*b))*(a*x^2 + b*x^3)^(1/2))/x","B"
255,1,17,23,5.142367,"\text{Not used}","int(x/(a*x^2 + b*x^3)^(1/2),x)","\frac{2\,\left|x\right|\,\sqrt{a+b\,x}}{b\,x}","Not used",1,"(2*abs(x)*(a + b*x)^(1/2))/(b*x)","B"
256,0,-1,30,0.000000,"\text{Not used}","int(1/(a*x^2 + b*x^3)^(1/2),x)","\int \frac{1}{\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(a*x^2 + b*x^3)^(1/2), x)","F"
257,0,-1,54,0.000000,"\text{Not used}","int(1/(x*(a*x^2 + b*x^3)^(1/2)),x)","\int \frac{1}{x\,\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(x*(a*x^2 + b*x^3)^(1/2)), x)","F"
258,1,44,87,5.407985,"\text{Not used}","int(1/(x^2*(a*x^2 + b*x^3)^(1/2)),x)","-\frac{2\,\sqrt{\frac{a}{b\,x}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{5}{2};\ \frac{7}{2};\ -\frac{a}{b\,x}\right)}{5\,x\,\sqrt{b\,x^3+a\,x^2}}","Not used",1,"-(2*(a/(b*x) + 1)^(1/2)*hypergeom([1/2, 5/2], 7/2, -a/(b*x)))/(5*x*(a*x^2 + b*x^3)^(1/2))","B"
259,0,-1,115,0.000000,"\text{Not used}","int(1/(x^3*(a*x^2 + b*x^3)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(x^3*(a*x^2 + b*x^3)^(1/2)), x)","F"
260,1,57,98,5.282047,"\text{Not used}","int(x^6/(a*x^2 + b*x^3)^(3/2),x)","\frac{2\,\sqrt{b\,x^3+a\,x^2}\,\left(16\,a^3+8\,a^2\,b\,x-2\,a\,b^2\,x^2+b^3\,x^3\right)}{5\,b^4\,x\,\left(a+b\,x\right)}","Not used",1,"(2*(a*x^2 + b*x^3)^(1/2)*(16*a^3 + b^3*x^3 - 2*a*b^2*x^2 + 8*a^2*b*x))/(5*b^4*x*(a + b*x))","B"
261,1,47,72,5.222784,"\text{Not used}","int(x^5/(a*x^2 + b*x^3)^(3/2),x)","-\frac{2\,\sqrt{b\,x^3+a\,x^2}\,\left(8\,a^2+4\,a\,b\,x-b^2\,x^2\right)}{3\,b^3\,x\,\left(a+b\,x\right)}","Not used",1,"-(2*(a*x^2 + b*x^3)^(1/2)*(8*a^2 - b^2*x^2 + 4*a*b*x))/(3*b^3*x*(a + b*x))","B"
262,1,35,47,5.174684,"\text{Not used}","int(x^4/(a*x^2 + b*x^3)^(3/2),x)","\frac{2\,\left(2\,a+b\,x\right)\,\sqrt{b\,x^3+a\,x^2}}{b^2\,x\,\left(a+b\,x\right)}","Not used",1,"(2*(2*a + b*x)*(a*x^2 + b*x^3)^(1/2))/(b^2*x*(a + b*x))","B"
263,1,28,21,5.074277,"\text{Not used}","int(x^3/(a*x^2 + b*x^3)^(3/2),x)","-\frac{2\,\sqrt{b\,x^3+a\,x^2}}{b\,x\,\left(a+b\,x\right)}","Not used",1,"-(2*(a*x^2 + b*x^3)^(1/2))/(b*x*(a + b*x))","B"
264,0,-1,52,0.000000,"\text{Not used}","int(x^2/(a*x^2 + b*x^3)^(3/2),x)","\int \frac{x^2}{{\left(b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a*x^2 + b*x^3)^(3/2), x)","F"
265,0,-1,75,0.000000,"\text{Not used}","int(x/(a*x^2 + b*x^3)^(3/2),x)","\int \frac{x}{{\left(b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x/(a*x^2 + b*x^3)^(3/2), x)","F"
266,1,42,110,5.431572,"\text{Not used}","int(1/(a*x^2 + b*x^3)^(3/2),x)","-\frac{2\,x\,{\left(\frac{a}{b\,x}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{7}{2};\ \frac{9}{2};\ -\frac{a}{b\,x}\right)}{7\,{\left(b\,x^3+a\,x^2\right)}^{3/2}}","Not used",1,"-(2*x*(a/(b*x) + 1)^(3/2)*hypergeom([3/2, 7/2], 9/2, -a/(b*x)))/(7*(a*x^2 + b*x^3)^(3/2))","B"
267,0,-1,138,0.000000,"\text{Not used}","int(1/(x*(a*x^2 + b*x^3)^(3/2)),x)","\int \frac{1}{x\,{\left(b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a*x^2 + b*x^3)^(3/2)), x)","F"
268,1,44,166,5.683478,"\text{Not used}","int(1/(x^2*(a*x^2 + b*x^3)^(3/2)),x)","-\frac{2\,{\left(\frac{a}{b\,x}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{11}{2};\ \frac{13}{2};\ -\frac{a}{b\,x}\right)}{11\,x\,{\left(b\,x^3+a\,x^2\right)}^{3/2}}","Not used",1,"-(2*(a/(b*x) + 1)^(3/2)*hypergeom([3/2, 11/2], 13/2, -a/(b*x)))/(11*x*(a*x^2 + b*x^3)^(3/2))","B"
269,0,-1,125,0.000000,"\text{Not used}","int(x^(7/2)/(a*x^2 + b*x^3)^(1/2),x)","\int \frac{x^{7/2}}{\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(x^(7/2)/(a*x^2 + b*x^3)^(1/2), x)","F"
270,0,-1,95,0.000000,"\text{Not used}","int(x^(5/2)/(a*x^2 + b*x^3)^(1/2),x)","\int \frac{x^{5/2}}{\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(x^(5/2)/(a*x^2 + b*x^3)^(1/2), x)","F"
271,0,-1,60,0.000000,"\text{Not used}","int(x^(3/2)/(a*x^2 + b*x^3)^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(x^(3/2)/(a*x^2 + b*x^3)^(1/2), x)","F"
272,0,-1,34,0.000000,"\text{Not used}","int(x^(1/2)/(a*x^2 + b*x^3)^(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(x^(1/2)/(a*x^2 + b*x^3)^(1/2), x)","F"
273,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(1/2)*(a*x^2 + b*x^3)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(x^(1/2)*(a*x^2 + b*x^3)^(1/2)), x)","F"
274,0,-1,56,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a*x^2 + b*x^3)^(1/2)),x)","\int \frac{1}{x^{3/2}\,\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(x^(3/2)*(a*x^2 + b*x^3)^(1/2)), x)","F"
275,0,-1,86,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a*x^2 + b*x^3)^(1/2)),x)","\int \frac{1}{x^{5/2}\,\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(x^(5/2)*(a*x^2 + b*x^3)^(1/2)), x)","F"
276,0,-1,116,0.000000,"\text{Not used}","int(1/(x^(7/2)*(a*x^2 + b*x^3)^(1/2)),x)","\int \frac{1}{x^{7/2}\,\sqrt{b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(x^(7/2)*(a*x^2 + b*x^3)^(1/2)), x)","F"
277,0,-1,61,0.000000,"\text{Not used}","int(x^(1 - 3*n)*(a*x^2 + b*x^3)^n,x)","\int x^{1-3\,n}\,{\left(b\,x^3+a\,x^2\right)}^n \,d x","Not used",1,"int(x^(1 - 3*n)*(a*x^2 + b*x^3)^n, x)","F"
278,0,-1,48,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^n/x^(3*n),x)","\int \frac{{\left(b\,x^3+a\,x^2\right)}^n}{x^{3\,n}} \,d x","Not used",1,"int((a*x^2 + b*x^3)^n/x^(3*n), x)","F"
279,0,-1,54,0.000000,"\text{Not used}","int((a*x^2 + b*x^3)^n/x^(3*n + 1),x)","\int \frac{{\left(b\,x^3+a\,x^2\right)}^n}{x^{3\,n+1}} \,d x","Not used",1,"int((a*x^2 + b*x^3)^n/x^(3*n + 1), x)","F"
280,1,54,32,5.281333,"\text{Not used}","int((a*x^2 + b*x^3)^n/x^(3*n + 2),x)","-{\left(b\,x^3+a\,x^2\right)}^n\,\left(\frac{x}{x^{3\,n+2}\,\left(n+1\right)}+\frac{b\,x^2}{a\,x^{3\,n+2}\,\left(n+1\right)}\right)","Not used",1,"-(a*x^2 + b*x^3)^n*(x/(x^(3*n + 2)*(n + 1)) + (b*x^2)/(a*x^(3*n + 2)*(n + 1)))","B"
281,1,98,70,5.275207,"\text{Not used}","int((a*x^2 + b*x^3)^n/x^(3*n + 3),x)","-{\left(b\,x^3+a\,x^2\right)}^n\,\left(\frac{x\,\left(n+1\right)}{x^{3\,n+3}\,\left(n^2+3\,n+2\right)}-\frac{b^2\,x^3}{a^2\,x^{3\,n+3}\,\left(n^2+3\,n+2\right)}+\frac{b\,n\,x^2}{a\,x^{3\,n+3}\,\left(n^2+3\,n+2\right)}\right)","Not used",1,"-(a*x^2 + b*x^3)^n*((x*(n + 1))/(x^(3*n + 3)*(3*n + n^2 + 2)) - (b^2*x^3)/(a^2*x^(3*n + 3)*(3*n + n^2 + 2)) + (b*n*x^2)/(a*x^(3*n + 3)*(3*n + n^2 + 2)))","B"
282,1,157,116,5.364523,"\text{Not used}","int((a*x^2 + b*x^3)^n/x^(3*n + 4),x)","-{\left(b\,x^3+a\,x^2\right)}^n\,\left(\frac{x\,\left(n^2+3\,n+2\right)}{x^{3\,n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{2\,b^3\,x^4}{a^3\,x^{3\,n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{2\,b^2\,n\,x^3}{a^2\,x^{3\,n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{b\,n\,x^2\,\left(n+1\right)}{a\,x^{3\,n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}\right)","Not used",1,"-(a*x^2 + b*x^3)^n*((x*(3*n + n^2 + 2))/(x^(3*n + 4)*(11*n + 6*n^2 + n^3 + 6)) + (2*b^3*x^4)/(a^3*x^(3*n + 4)*(11*n + 6*n^2 + n^3 + 6)) - (2*b^2*n*x^3)/(a^2*x^(3*n + 4)*(11*n + 6*n^2 + n^3 + 6)) + (b*n*x^2*(n + 1))/(a*x^(3*n + 4)*(11*n + 6*n^2 + n^3 + 6)))","B"
283,1,37,19,5.110357,"\text{Not used}","int(x^11/(a*x^2 + b*x^5)^3,x)","-\frac{\frac{a}{6\,b^2}+\frac{x^3}{3\,b}}{a^2+2\,a\,b\,x^3+b^2\,x^6}","Not used",1,"-(a/(6*b^2) + x^3/(3*b))/(a^2 + b^2*x^6 + 2*a*b*x^3)","B"
284,1,42,80,5.183586,"\text{Not used}","int(x^9/(a*x^2 + b*x^5)^(1/2),x)","\frac{2\,\sqrt{b\,x^5+a\,x^2}\,\left(8\,a^2-4\,a\,b\,x^3+3\,b^2\,x^6\right)}{45\,b^3\,x}","Not used",1,"(2*(a*x^2 + b*x^5)^(1/2)*(8*a^2 + 3*b^2*x^6 - 4*a*b*x^3))/(45*b^3*x)","B"
285,1,33,52,5.326543,"\text{Not used}","int(x^6/(a*x^2 + b*x^5)^(1/2),x)","-\frac{\sqrt{b\,x^5+a\,x^2}\,\left(\frac{4\,a}{9\,b^2}-\frac{2\,x^3}{9\,b}\right)}{x}","Not used",1,"-((a*x^2 + b*x^5)^(1/2)*((4*a)/(9*b^2) - (2*x^3)/(9*b)))/x","B"
286,1,21,25,5.189915,"\text{Not used}","int(x^3/(a*x^2 + b*x^5)^(1/2),x)","\frac{2\,\sqrt{b\,x^5+a\,x^2}}{3\,b\,x}","Not used",1,"(2*(a*x^2 + b*x^5)^(1/2))/(3*b*x)","B"
287,0,-1,32,0.000000,"\text{Not used}","int(1/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{1}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(1/(a*x^2 + b*x^5)^(1/2), x)","F"
288,0,-1,59,0.000000,"\text{Not used}","int(1/(x^3*(a*x^2 + b*x^5)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(1/(x^3*(a*x^2 + b*x^5)^(1/2)), x)","F"
289,0,-1,238,0.000000,"\text{Not used}","int(x^4/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x^4}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^4/(a*x^2 + b*x^5)^(1/2), x)","F"
290,0,-1,212,0.000000,"\text{Not used}","int(x/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x/(a*x^2 + b*x^5)^(1/2), x)","F"
291,1,44,243,5.712301,"\text{Not used}","int(1/(x^2*(a*x^2 + b*x^5)^(1/2)),x)","-\frac{2\,\sqrt{\frac{a}{b\,x^3}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{7}{6};\ \frac{13}{6};\ -\frac{a}{b\,x^3}\right)}{7\,x\,\sqrt{b\,x^5+a\,x^2}}","Not used",1,"-(2*(a/(b*x^3) + 1)^(1/2)*hypergeom([1/2, 7/6], 13/6, -a/(b*x^3)))/(7*x*(a*x^2 + b*x^5)^(1/2))","B"
292,0,-1,514,0.000000,"\text{Not used}","int(x^5/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x^5}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^5/(a*x^2 + b*x^5)^(1/2), x)","F"
293,0,-1,484,0.000000,"\text{Not used}","int(x^2/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x^2}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^2/(a*x^2 + b*x^5)^(1/2), x)","F"
294,0,-1,510,0.000000,"\text{Not used}","int(1/(x*(a*x^2 + b*x^5)^(1/2)),x)","\int \frac{1}{x\,\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(1/(x*(a*x^2 + b*x^5)^(1/2)), x)","F"
295,0,-1,265,0.000000,"\text{Not used}","int(x^(13/2)/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x^{13/2}}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^(13/2)/(a*x^2 + b*x^5)^(1/2), x)","F"
296,0,-1,525,0.000000,"\text{Not used}","int(x^(11/2)/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x^{11/2}}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^(11/2)/(a*x^2 + b*x^5)^(1/2), x)","F"
297,0,-1,65,0.000000,"\text{Not used}","int(x^(9/2)/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x^{9/2}}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^(9/2)/(a*x^2 + b*x^5)^(1/2), x)","F"
298,0,-1,237,0.000000,"\text{Not used}","int(x^(7/2)/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x^{7/2}}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^(7/2)/(a*x^2 + b*x^5)^(1/2), x)","F"
299,0,-1,492,0.000000,"\text{Not used}","int(x^(5/2)/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x^{5/2}}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^(5/2)/(a*x^2 + b*x^5)^(1/2), x)","F"
300,0,-1,36,0.000000,"\text{Not used}","int(x^(3/2)/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^(3/2)/(a*x^2 + b*x^5)^(1/2), x)","F"
301,0,-1,203,0.000000,"\text{Not used}","int(x^(1/2)/(a*x^2 + b*x^5)^(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(x^(1/2)/(a*x^2 + b*x^5)^(1/2), x)","F"
302,0,-1,519,0.000000,"\text{Not used}","int(1/(x^(1/2)*(a*x^2 + b*x^5)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(1/(x^(1/2)*(a*x^2 + b*x^5)^(1/2)), x)","F"
303,0,-1,27,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a*x^2 + b*x^5)^(1/2)),x)","\int \frac{1}{x^{3/2}\,\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(1/(x^(3/2)*(a*x^2 + b*x^5)^(1/2)), x)","F"
304,0,-1,235,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a*x^2 + b*x^5)^(1/2)),x)","\int \frac{1}{x^{5/2}\,\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(1/(x^(5/2)*(a*x^2 + b*x^5)^(1/2)), x)","F"
305,0,-1,555,0.000000,"\text{Not used}","int(1/(x^(7/2)*(a*x^2 + b*x^5)^(1/2)),x)","\int \frac{1}{x^{7/2}\,\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(1/(x^(7/2)*(a*x^2 + b*x^5)^(1/2)), x)","F"
306,0,-1,56,0.000000,"\text{Not used}","int(1/(x^(9/2)*(a*x^2 + b*x^5)^(1/2)),x)","\int \frac{1}{x^{9/2}\,\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(1/(x^(9/2)*(a*x^2 + b*x^5)^(1/2)), x)","F"
307,0,-1,265,0.000000,"\text{Not used}","int(1/(x^(11/2)*(a*x^2 + b*x^5)^(1/2)),x)","\int \frac{1}{x^{11/2}\,\sqrt{b\,x^5+a\,x^2}} \,d x","Not used",1,"int(1/(x^(11/2)*(a*x^2 + b*x^5)^(1/2)), x)","F"
308,1,25,28,5.209458,"\text{Not used}","int(x/(a*x^3 + b*x^4),x)","\frac{2\,b\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^2}-\frac{1}{a\,x}","Not used",1,"(2*b*atanh((2*b*x)/a + 1))/a^2 - 1/(a*x)","B"
309,1,38,42,5.724041,"\text{Not used}","int(1/(a*x^3 + b*x^4),x)","-\frac{\frac{a^2}{2}-a\,b\,x}{a^3\,x^2}-\frac{2\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^3}","Not used",1,"- (a^2/2 - a*b*x)/(a^3*x^2) - (2*b^2*atanh((2*b*x)/a + 1))/a^3","B"
310,0,-1,112,0.000000,"\text{Not used}","int(x^4/(a*x^3 + b*x^4)^(1/2),x)","\int \frac{x^4}{\sqrt{b\,x^4+a\,x^3}} \,d x","Not used",1,"int(x^4/(a*x^3 + b*x^4)^(1/2), x)","F"
311,0,-1,86,0.000000,"\text{Not used}","int(x^3/(a*x^3 + b*x^4)^(1/2),x)","\int \frac{x^3}{\sqrt{b\,x^4+a\,x^3}} \,d x","Not used",1,"int(x^3/(a*x^3 + b*x^4)^(1/2), x)","F"
312,0,-1,56,0.000000,"\text{Not used}","int(x^2/(a*x^3 + b*x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{b\,x^4+a\,x^3}} \,d x","Not used",1,"int(x^2/(a*x^3 + b*x^4)^(1/2), x)","F"
313,0,-1,32,0.000000,"\text{Not used}","int(x/(a*x^3 + b*x^4)^(1/2),x)","\int \frac{x}{\sqrt{b\,x^4+a\,x^3}} \,d x","Not used",1,"int(x/(a*x^3 + b*x^4)^(1/2), x)","F"
314,1,21,23,5.140447,"\text{Not used}","int(1/(a*x^3 + b*x^4)^(1/2),x)","-\frac{2\,\sqrt{b\,x^4+a\,x^3}}{a\,x^2}","Not used",1,"-(2*(a*x^3 + b*x^4)^(1/2))/(a*x^2)","B"
315,1,42,52,5.061550,"\text{Not used}","int(1/(x*(a*x^3 + b*x^4)^(1/2)),x)","-\frac{2\,a\,\sqrt{b\,x^4+a\,x^3}-4\,b\,x\,\sqrt{b\,x^4+a\,x^3}}{3\,a^2\,x^3}","Not used",1,"-(2*a*(a*x^3 + b*x^4)^(1/2) - 4*b*x*(a*x^3 + b*x^4)^(1/2))/(3*a^2*x^3)","B"
316,1,40,80,5.140389,"\text{Not used}","int(1/(x^2*(a*x^3 + b*x^4)^(1/2)),x)","-\frac{2\,\sqrt{b\,x^4+a\,x^3}\,\left(3\,a^2-4\,a\,b\,x+8\,b^2\,x^2\right)}{15\,a^3\,x^4}","Not used",1,"-(2*(a*x^3 + b*x^4)^(1/2)*(3*a^2 + 8*b^2*x^2 - 4*a*b*x))/(15*a^3*x^4)","B"
317,1,92,108,5.137298,"\text{Not used}","int(1/(x^3*(a*x^3 + b*x^4)^(1/2)),x)","\frac{12\,b\,\sqrt{b\,x^4+a\,x^3}}{35\,a^2\,x^4}-\frac{2\,\sqrt{b\,x^4+a\,x^3}}{7\,a\,x^5}-\frac{16\,b^2\,\sqrt{b\,x^4+a\,x^3}}{35\,a^3\,x^3}+\frac{32\,b^3\,\sqrt{b\,x^4+a\,x^3}}{35\,a^4\,x^2}","Not used",1,"(12*b*(a*x^3 + b*x^4)^(1/2))/(35*a^2*x^4) - (2*(a*x^3 + b*x^4)^(1/2))/(7*a*x^5) - (16*b^2*(a*x^3 + b*x^4)^(1/2))/(35*a^3*x^3) + (32*b^3*(a*x^3 + b*x^4)^(1/2))/(35*a^4*x^2)","B"
318,1,116,136,5.144678,"\text{Not used}","int(1/(x^4*(a*x^3 + b*x^4)^(1/2)),x)","\frac{16\,b\,\sqrt{b\,x^4+a\,x^3}}{63\,a^2\,x^5}-\frac{2\,\sqrt{b\,x^4+a\,x^3}}{9\,a\,x^6}-\frac{32\,b^2\,\sqrt{b\,x^4+a\,x^3}}{105\,a^3\,x^4}+\frac{128\,b^3\,\sqrt{b\,x^4+a\,x^3}}{315\,a^4\,x^3}-\frac{256\,b^4\,\sqrt{b\,x^4+a\,x^3}}{315\,a^5\,x^2}","Not used",1,"(16*b*(a*x^3 + b*x^4)^(1/2))/(63*a^2*x^5) - (2*(a*x^3 + b*x^4)^(1/2))/(9*a*x^6) - (32*b^2*(a*x^3 + b*x^4)^(1/2))/(105*a^3*x^4) + (128*b^3*(a*x^3 + b*x^4)^(1/2))/(315*a^4*x^3) - (256*b^4*(a*x^3 + b*x^4)^(1/2))/(315*a^5*x^2)","B"
319,1,22,26,0.049937,"\text{Not used}","int(1/(b*x^5 + x^3),x)","\frac{b\,\ln\left(b\,x^2+1\right)}{2}-b\,\ln\left(x\right)-\frac{1}{2\,x^2}","Not used",1,"(b*log(b*x^2 + 1))/2 - b*log(x) - 1/(2*x^2)","B"
320,1,22,27,5.208597,"\text{Not used}","int(1/(b*x^5 - x^3),x)","\frac{b\,\ln\left(b\,x^2-1\right)}{2}-b\,\ln\left(x\right)+\frac{1}{2\,x^2}","Not used",1,"(b*log(b*x^2 - 1))/2 - b*log(x) + 1/(2*x^2)","B"
321,1,8,8,5.274081,"\text{Not used}","int(1/(a*x + b*x),x)","\frac{\ln\left(x\right)}{a+b}","Not used",1,"log(x)/(a + b)","B"
322,1,10,10,0.032035,"\text{Not used}","int(1/(a*x + b*x)^2,x)","-\frac{1}{x\,{\left(a+b\right)}^2}","Not used",1,"-1/(x*(a + b)^2)","B"
323,1,26,12,0.037430,"\text{Not used}","int(1/(a*x + b*x)^3,x)","-\frac{1}{2\,x^2\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}","Not used",1,"-1/(2*x^2*(3*a*b^2 + 3*a^2*b + a^3 + b^3))","B"
324,1,10,10,0.026792,"\text{Not used}","int(1/(a*x^2 + b*x^2),x)","-\frac{1}{x\,\left(a+b\right)}","Not used",1,"-1/(x*(a + b))","B"
325,1,19,20,5.178001,"\text{Not used}","int(1/(a*x^n + b*x^n),x)","-\frac{x^{1-n}}{\left(a+b\right)\,\left(n-1\right)}","Not used",1,"-x^(1 - n)/((a + b)*(n - 1))","B"
326,1,21,20,5.135093,"\text{Not used}","int(1/(a*x^n + b*x^n)^2,x)","-\frac{x^{1-2\,n}}{{\left(a+b\right)}^2\,\left(2\,n-1\right)}","Not used",1,"-x^(1 - 2*n)/((a + b)^2*(2*n - 1))","B"
327,1,21,20,5.121973,"\text{Not used}","int(1/(a*x^n + b*x^n)^3,x)","-\frac{x^{1-3\,n}}{{\left(a+b\right)}^3\,\left(3\,n-1\right)}","Not used",1,"-x^(1 - 3*n)/((a + b)^3*(3*n - 1))","B"
328,1,134,16,5.156617,"\text{Not used}","int((a*x + b*x^14)^12,x)","\frac{a^{12}\,x^{13}}{13}+\frac{6\,a^{11}\,b\,x^{26}}{13}+\frac{22\,a^{10}\,b^2\,x^{39}}{13}+\frac{55\,a^9\,b^3\,x^{52}}{13}+\frac{99\,a^8\,b^4\,x^{65}}{13}+\frac{132\,a^7\,b^5\,x^{78}}{13}+\frac{132\,a^6\,b^6\,x^{91}}{13}+\frac{99\,a^5\,b^7\,x^{104}}{13}+\frac{55\,a^4\,b^8\,x^{117}}{13}+\frac{22\,a^3\,b^9\,x^{130}}{13}+\frac{6\,a^2\,b^{10}\,x^{143}}{13}+\frac{a\,b^{11}\,x^{156}}{13}+\frac{b^{12}\,x^{169}}{169}","Not used",1,"(a^12*x^13)/13 + (b^12*x^169)/169 + (6*a^11*b*x^26)/13 + (a*b^11*x^156)/13 + (22*a^10*b^2*x^39)/13 + (55*a^9*b^3*x^52)/13 + (99*a^8*b^4*x^65)/13 + (132*a^7*b^5*x^78)/13 + (132*a^6*b^6*x^91)/13 + (99*a^5*b^7*x^104)/13 + (55*a^4*b^8*x^117)/13 + (22*a^3*b^9*x^130)/13 + (6*a^2*b^10*x^143)/13","B"
329,1,134,16,5.156216,"\text{Not used}","int(x^12*(a*x + b*x^26)^12,x)","\frac{a^{12}\,x^{25}}{25}+\frac{6\,a^{11}\,b\,x^{50}}{25}+\frac{22\,a^{10}\,b^2\,x^{75}}{25}+\frac{11\,a^9\,b^3\,x^{100}}{5}+\frac{99\,a^8\,b^4\,x^{125}}{25}+\frac{132\,a^7\,b^5\,x^{150}}{25}+\frac{132\,a^6\,b^6\,x^{175}}{25}+\frac{99\,a^5\,b^7\,x^{200}}{25}+\frac{11\,a^4\,b^8\,x^{225}}{5}+\frac{22\,a^3\,b^9\,x^{250}}{25}+\frac{6\,a^2\,b^{10}\,x^{275}}{25}+\frac{a\,b^{11}\,x^{300}}{25}+\frac{b^{12}\,x^{325}}{325}","Not used",1,"(a^12*x^25)/25 + (b^12*x^325)/325 + (6*a^11*b*x^50)/25 + (a*b^11*x^300)/25 + (22*a^10*b^2*x^75)/25 + (11*a^9*b^3*x^100)/5 + (99*a^8*b^4*x^125)/25 + (132*a^7*b^5*x^150)/25 + (132*a^6*b^6*x^175)/25 + (99*a^5*b^7*x^200)/25 + (11*a^4*b^8*x^225)/5 + (22*a^3*b^9*x^250)/25 + (6*a^2*b^10*x^275)/25","B"
330,1,134,16,5.153174,"\text{Not used}","int(x^24*(a*x + b*x^38)^12,x)","\frac{a^{12}\,x^{37}}{37}+\frac{6\,a^{11}\,b\,x^{74}}{37}+\frac{22\,a^{10}\,b^2\,x^{111}}{37}+\frac{55\,a^9\,b^3\,x^{148}}{37}+\frac{99\,a^8\,b^4\,x^{185}}{37}+\frac{132\,a^7\,b^5\,x^{222}}{37}+\frac{132\,a^6\,b^6\,x^{259}}{37}+\frac{99\,a^5\,b^7\,x^{296}}{37}+\frac{55\,a^4\,b^8\,x^{333}}{37}+\frac{22\,a^3\,b^9\,x^{370}}{37}+\frac{6\,a^2\,b^{10}\,x^{407}}{37}+\frac{a\,b^{11}\,x^{444}}{37}+\frac{b^{12}\,x^{481}}{481}","Not used",1,"(a^12*x^37)/37 + (b^12*x^481)/481 + (6*a^11*b*x^74)/37 + (a*b^11*x^444)/37 + (22*a^10*b^2*x^111)/37 + (55*a^9*b^3*x^148)/37 + (99*a^8*b^4*x^185)/37 + (132*a^7*b^5*x^222)/37 + (132*a^6*b^6*x^259)/37 + (99*a^5*b^7*x^296)/37 + (55*a^4*b^8*x^333)/37 + (22*a^3*b^9*x^370)/37 + (6*a^2*b^10*x^407)/37","B"
331,1,287,27,5.874769,"\text{Not used}","int(x^(12*m - 12)*(a*x + b*x^(12*m + 2))^12,x)","\frac{b^{12}\,x^{156\,m}\,x^{13}}{156\,m+13}+\frac{13\,a^{12}\,x\,x^{12\,m}}{156\,m+13}+\frac{78\,a^{11}\,b\,x^{24\,m}\,x^2}{156\,m+13}+\frac{13\,a\,b^{11}\,x^{144\,m}\,x^{12}}{156\,m+13}+\frac{286\,a^{10}\,b^2\,x^{36\,m}\,x^3}{156\,m+13}+\frac{715\,a^9\,b^3\,x^{48\,m}\,x^4}{156\,m+13}+\frac{1287\,a^8\,b^4\,x^{60\,m}\,x^5}{156\,m+13}+\frac{1716\,a^7\,b^5\,x^{72\,m}\,x^6}{156\,m+13}+\frac{1716\,a^6\,b^6\,x^{84\,m}\,x^7}{156\,m+13}+\frac{1287\,a^5\,b^7\,x^{96\,m}\,x^8}{156\,m+13}+\frac{715\,a^4\,b^8\,x^{108\,m}\,x^9}{156\,m+13}+\frac{286\,a^3\,b^9\,x^{120\,m}\,x^{10}}{156\,m+13}+\frac{78\,a^2\,b^{10}\,x^{132\,m}\,x^{11}}{156\,m+13}","Not used",1,"(b^12*x^(156*m)*x^13)/(156*m + 13) + (13*a^12*x*x^(12*m))/(156*m + 13) + (78*a^11*b*x^(24*m)*x^2)/(156*m + 13) + (13*a*b^11*x^(144*m)*x^12)/(156*m + 13) + (286*a^10*b^2*x^(36*m)*x^3)/(156*m + 13) + (715*a^9*b^3*x^(48*m)*x^4)/(156*m + 13) + (1287*a^8*b^4*x^(60*m)*x^5)/(156*m + 13) + (1716*a^7*b^5*x^(72*m)*x^6)/(156*m + 13) + (1716*a^6*b^6*x^(84*m)*x^7)/(156*m + 13) + (1287*a^5*b^7*x^(96*m)*x^8)/(156*m + 13) + (715*a^4*b^8*x^(108*m)*x^9)/(156*m + 13) + (286*a^3*b^9*x^(120*m)*x^10)/(156*m + 13) + (78*a^2*b^10*x^(132*m)*x^11)/(156*m + 13)","B"
332,1,134,16,0.002333,"\text{Not used}","int((a*x + b*x^14)^12,x)","\frac{a^{12}\,x^{13}}{13}+\frac{6\,a^{11}\,b\,x^{26}}{13}+\frac{22\,a^{10}\,b^2\,x^{39}}{13}+\frac{55\,a^9\,b^3\,x^{52}}{13}+\frac{99\,a^8\,b^4\,x^{65}}{13}+\frac{132\,a^7\,b^5\,x^{78}}{13}+\frac{132\,a^6\,b^6\,x^{91}}{13}+\frac{99\,a^5\,b^7\,x^{104}}{13}+\frac{55\,a^4\,b^8\,x^{117}}{13}+\frac{22\,a^3\,b^9\,x^{130}}{13}+\frac{6\,a^2\,b^{10}\,x^{143}}{13}+\frac{a\,b^{11}\,x^{156}}{13}+\frac{b^{12}\,x^{169}}{169}","Not used",1,"(a^12*x^13)/13 + (b^12*x^169)/169 + (6*a^11*b*x^26)/13 + (a*b^11*x^156)/13 + (22*a^10*b^2*x^39)/13 + (55*a^9*b^3*x^52)/13 + (99*a^8*b^4*x^65)/13 + (132*a^7*b^5*x^78)/13 + (132*a^6*b^6*x^91)/13 + (99*a^5*b^7*x^104)/13 + (55*a^4*b^8*x^117)/13 + (22*a^3*b^9*x^130)/13 + (6*a^2*b^10*x^143)/13","B"
333,1,134,16,5.188169,"\text{Not used}","int((a*x^2 + b*x^27)^12,x)","\frac{a^{12}\,x^{25}}{25}+\frac{6\,a^{11}\,b\,x^{50}}{25}+\frac{22\,a^{10}\,b^2\,x^{75}}{25}+\frac{11\,a^9\,b^3\,x^{100}}{5}+\frac{99\,a^8\,b^4\,x^{125}}{25}+\frac{132\,a^7\,b^5\,x^{150}}{25}+\frac{132\,a^6\,b^6\,x^{175}}{25}+\frac{99\,a^5\,b^7\,x^{200}}{25}+\frac{11\,a^4\,b^8\,x^{225}}{5}+\frac{22\,a^3\,b^9\,x^{250}}{25}+\frac{6\,a^2\,b^{10}\,x^{275}}{25}+\frac{a\,b^{11}\,x^{300}}{25}+\frac{b^{12}\,x^{325}}{325}","Not used",1,"(a^12*x^25)/25 + (b^12*x^325)/325 + (6*a^11*b*x^50)/25 + (a*b^11*x^300)/25 + (22*a^10*b^2*x^75)/25 + (11*a^9*b^3*x^100)/5 + (99*a^8*b^4*x^125)/25 + (132*a^7*b^5*x^150)/25 + (132*a^6*b^6*x^175)/25 + (99*a^5*b^7*x^200)/25 + (11*a^4*b^8*x^225)/5 + (22*a^3*b^9*x^250)/25 + (6*a^2*b^10*x^275)/25","B"
334,1,134,16,5.158197,"\text{Not used}","int((a*x^3 + b*x^40)^12,x)","\frac{a^{12}\,x^{37}}{37}+\frac{6\,a^{11}\,b\,x^{74}}{37}+\frac{22\,a^{10}\,b^2\,x^{111}}{37}+\frac{55\,a^9\,b^3\,x^{148}}{37}+\frac{99\,a^8\,b^4\,x^{185}}{37}+\frac{132\,a^7\,b^5\,x^{222}}{37}+\frac{132\,a^6\,b^6\,x^{259}}{37}+\frac{99\,a^5\,b^7\,x^{296}}{37}+\frac{55\,a^4\,b^8\,x^{333}}{37}+\frac{22\,a^3\,b^9\,x^{370}}{37}+\frac{6\,a^2\,b^{10}\,x^{407}}{37}+\frac{a\,b^{11}\,x^{444}}{37}+\frac{b^{12}\,x^{481}}{481}","Not used",1,"(a^12*x^37)/37 + (b^12*x^481)/481 + (6*a^11*b*x^74)/37 + (a*b^11*x^444)/37 + (22*a^10*b^2*x^111)/37 + (55*a^9*b^3*x^148)/37 + (99*a^8*b^4*x^185)/37 + (132*a^7*b^5*x^222)/37 + (132*a^6*b^6*x^259)/37 + (99*a^5*b^7*x^296)/37 + (55*a^4*b^8*x^333)/37 + (22*a^3*b^9*x^370)/37 + (6*a^2*b^10*x^407)/37","B"
335,1,285,27,5.949568,"\text{Not used}","int((a*x^m + b*x^(13*m + 1))^12,x)","\frac{b^{12}\,x^{156\,m}\,x^{13}}{156\,m+13}+\frac{a^{12}\,x\,x^{12\,m}}{12\,m+1}+\frac{6\,a^{11}\,b\,x^{24\,m}\,x^2}{12\,m+1}+\frac{a\,b^{11}\,x^{144\,m}\,x^{12}}{12\,m+1}+\frac{22\,a^{10}\,b^2\,x^{36\,m}\,x^3}{12\,m+1}+\frac{55\,a^9\,b^3\,x^{48\,m}\,x^4}{12\,m+1}+\frac{99\,a^8\,b^4\,x^{60\,m}\,x^5}{12\,m+1}+\frac{132\,a^7\,b^5\,x^{72\,m}\,x^6}{12\,m+1}+\frac{132\,a^6\,b^6\,x^{84\,m}\,x^7}{12\,m+1}+\frac{99\,a^5\,b^7\,x^{96\,m}\,x^8}{12\,m+1}+\frac{55\,a^4\,b^8\,x^{108\,m}\,x^9}{12\,m+1}+\frac{22\,a^3\,b^9\,x^{120\,m}\,x^{10}}{12\,m+1}+\frac{6\,a^2\,b^{10}\,x^{132\,m}\,x^{11}}{12\,m+1}","Not used",1,"(b^12*x^(156*m)*x^13)/(156*m + 13) + (a^12*x*x^(12*m))/(12*m + 1) + (6*a^11*b*x^(24*m)*x^2)/(12*m + 1) + (a*b^11*x^(144*m)*x^12)/(12*m + 1) + (22*a^10*b^2*x^(36*m)*x^3)/(12*m + 1) + (55*a^9*b^3*x^(48*m)*x^4)/(12*m + 1) + (99*a^8*b^4*x^(60*m)*x^5)/(12*m + 1) + (132*a^7*b^5*x^(72*m)*x^6)/(12*m + 1) + (132*a^6*b^6*x^(84*m)*x^7)/(12*m + 1) + (99*a^5*b^7*x^(96*m)*x^8)/(12*m + 1) + (55*a^4*b^8*x^(108*m)*x^9)/(12*m + 1) + (22*a^3*b^9*x^(120*m)*x^10)/(12*m + 1) + (6*a^2*b^10*x^(132*m)*x^11)/(12*m + 1)","B"
336,1,124,27,5.437205,"\text{Not used}","int((a*x^m + b*x^(6*m + 1))^5,x)","\frac{b^5\,x^{30\,m}\,x^6}{30\,m+6}+\frac{a^5\,x\,x^{5\,m}}{5\,m+1}+\frac{5\,a^4\,b\,x^{10\,m}\,x^2}{10\,m+2}+\frac{a\,b^4\,x^{25\,m}\,x^5}{5\,m+1}+\frac{5\,a^2\,b^3\,x^{20\,m}\,x^4}{10\,m+2}+\frac{10\,a^3\,b^2\,x^{15\,m}\,x^3}{15\,m+3}","Not used",1,"(b^5*x^(30*m)*x^6)/(30*m + 6) + (a^5*x*x^(5*m))/(5*m + 1) + (5*a^4*b*x^(10*m)*x^2)/(10*m + 2) + (a*b^4*x^(25*m)*x^5)/(5*m + 1) + (5*a^2*b^3*x^(20*m)*x^4)/(10*m + 2) + (10*a^3*b^2*x^(15*m)*x^3)/(15*m + 3)","B"
337,1,38,27,5.210632,"\text{Not used}","int(1/(a*x^m + b*x^(1 - 2*m))^3,x)","-\frac{x\,\left(b\,x+2\,a\,x^{3\,m}\right)}{2\,a^2\,\left(3\,m-1\right)\,{\left(b\,x+a\,x^{3\,m}\right)}^2}","Not used",1,"-(x*(b*x + 2*a*x^(3*m)))/(2*a^2*(3*m - 1)*(b*x + a*x^(3*m))^2)","B"
338,1,13,15,0.046143,"\text{Not used}","int(1/(a*x + b/x),x)","\frac{\ln\left(a\,x^2+b\right)}{2\,a}","Not used",1,"log(b + a*x^2)/(2*a)","B"
339,1,13,15,5.123935,"\text{Not used}","int(1/(a*x + b/x^2),x)","\frac{\ln\left(a\,x^3+b\right)}{3\,a}","Not used",1,"log(b + a*x^3)/(3*a)","B"
340,1,13,15,0.046867,"\text{Not used}","int(1/(a*x + b/x^3),x)","\frac{\ln\left(a\,x^4+b\right)}{4\,a}","Not used",1,"log(b + a*x^4)/(4*a)","B"
341,1,37,19,0.042320,"\text{Not used}","int(1/(a*x + b/x)^3,x)","-\frac{\frac{b}{4\,a^2}+\frac{x^2}{2\,a}}{a^2\,x^4+2\,a\,b\,x^2+b^2}","Not used",1,"-(b/(4*a^2) + x^2/(2*a))/(b^2 + a^2*x^4 + 2*a*b*x^2)","B"
342,1,37,19,0.061868,"\text{Not used}","int(1/(a*x^2 + b/x^3)^3,x)","-\frac{\frac{b}{10\,a^2}+\frac{x^5}{5\,a}}{a^2\,x^{10}+2\,a\,b\,x^5+b^2}","Not used",1,"-(b/(10*a^2) + x^5/(5*a))/(b^2 + a^2*x^10 + 2*a*b*x^5)","B"
343,1,37,19,5.184422,"\text{Not used}","int(1/(a*x^3 + b/x^5)^3,x)","-\frac{\frac{b}{16\,a^2}+\frac{x^8}{8\,a}}{a^2\,x^{16}+2\,a\,b\,x^8+b^2}","Not used",1,"-(b/(16*a^2) + x^8/(8*a))/(b^2 + a^2*x^16 + 2*a*b*x^8)","B"
344,1,22,24,0.042397,"\text{Not used}","int((b*x + a/x)^2,x)","\frac{b^2\,x^3}{3}-\frac{a^2}{x}+2\,a\,b\,x","Not used",1,"(b^2*x^3)/3 - a^2/x + 2*a*b*x","B"
345,1,34,40,0.036774,"\text{Not used}","int((b*x + a/x)^3,x)","\frac{b^3\,x^4}{4}-\frac{a^3}{2\,x^2}+\frac{3\,a\,b^2\,x^2}{2}+3\,a^2\,b\,\ln\left(x\right)","Not used",1,"(b^3*x^4)/4 - a^3/(2*x^2) + (3*a*b^2*x^2)/2 + 3*a^2*b*log(x)","B"
346,1,47,50,0.047737,"\text{Not used}","int((b*x + a/x)^4,x)","\frac{b^4\,x^5}{5}-\frac{\frac{a^4}{3}+4\,b\,a^3\,x^2}{x^3}+6\,a^2\,b^2\,x+\frac{4\,a\,b^3\,x^3}{3}","Not used",1,"(b^4*x^5)/5 - (a^4/3 + 4*a^3*b*x^2)/x^3 + 6*a^2*b^2*x + (4*a*b^3*x^3)/3","B"
347,1,197,185,5.914037,"\text{Not used}","int(1/(1/x^2 + x^3),x)","\frac{\ln\left(x+1\right)}{5}-\ln\left(1-\frac{x\,{\left(\sqrt{2}\,\sqrt{-\sqrt{5}-5}-\sqrt{5}+1\right)}^3}{64}\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)+\ln\left(\frac{x\,{\left(\sqrt{2}\,\sqrt{-\sqrt{5}-5}+\sqrt{5}-1\right)}^3}{64}+1\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)-\ln\left(1-\frac{x\,{\left(\sqrt{5}+\sqrt{2}\,\sqrt{\sqrt{5}-5}+1\right)}^3}{64}\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-\ln\left(1-\frac{x\,{\left(\sqrt{5}-\sqrt{2}\,\sqrt{\sqrt{5}-5}+1\right)}^3}{64}\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)","Not used",1,"log(x + 1)/5 - log(1 - (x*(2^(1/2)*(- 5^(1/2) - 5)^(1/2) - 5^(1/2) + 1)^3)/64)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) + log((x*(2^(1/2)*(- 5^(1/2) - 5)^(1/2) + 5^(1/2) - 1)^3)/64 + 1)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20) - log(1 - (x*(5^(1/2) + 2^(1/2)*(5^(1/2) - 5)^(1/2) + 1)^3)/64)*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - log(1 - (x*(5^(1/2) - 2^(1/2)*(5^(1/2) - 5)^(1/2) + 1)^3)/64)*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)","B"
348,1,363,29,6.777306,"\text{Not used}","int(x^p*(a*x^n + b*x^(13*n + p + 1))^12,x)","\frac{a^{12}\,x\,x^p\,x^{12\,n}}{12\,n+p+1}+\frac{b^{12}\,x^{156\,n}\,x^{13\,p}\,x^{13}}{156\,n+13\,p+13}+\frac{22\,a^{10}\,b^2\,x^{36\,n}\,x^{3\,p}\,x^3}{12\,n+p+1}+\frac{55\,a^9\,b^3\,x^{48\,n}\,x^{4\,p}\,x^4}{12\,n+p+1}+\frac{99\,a^8\,b^4\,x^{60\,n}\,x^{5\,p}\,x^5}{12\,n+p+1}+\frac{132\,a^7\,b^5\,x^{72\,n}\,x^{6\,p}\,x^6}{12\,n+p+1}+\frac{132\,a^6\,b^6\,x^{84\,n}\,x^{7\,p}\,x^7}{12\,n+p+1}+\frac{99\,a^5\,b^7\,x^{96\,n}\,x^{8\,p}\,x^8}{12\,n+p+1}+\frac{55\,a^4\,b^8\,x^{108\,n}\,x^{9\,p}\,x^9}{12\,n+p+1}+\frac{22\,a^3\,b^9\,x^{120\,n}\,x^{10\,p}\,x^{10}}{12\,n+p+1}+\frac{6\,a^2\,b^{10}\,x^{132\,n}\,x^{11\,p}\,x^{11}}{12\,n+p+1}+\frac{6\,a^{11}\,b\,x^{24\,n}\,x^{2\,p}\,x^2}{12\,n+p+1}+\frac{a\,b^{11}\,x^{144\,n}\,x^{12\,p}\,x^{12}}{12\,n+p+1}","Not used",1,"(a^12*x*x^p*x^(12*n))/(12*n + p + 1) + (b^12*x^(156*n)*x^(13*p)*x^13)/(156*n + 13*p + 13) + (22*a^10*b^2*x^(36*n)*x^(3*p)*x^3)/(12*n + p + 1) + (55*a^9*b^3*x^(48*n)*x^(4*p)*x^4)/(12*n + p + 1) + (99*a^8*b^4*x^(60*n)*x^(5*p)*x^5)/(12*n + p + 1) + (132*a^7*b^5*x^(72*n)*x^(6*p)*x^6)/(12*n + p + 1) + (132*a^6*b^6*x^(84*n)*x^(7*p)*x^7)/(12*n + p + 1) + (99*a^5*b^7*x^(96*n)*x^(8*p)*x^8)/(12*n + p + 1) + (55*a^4*b^8*x^(108*n)*x^(9*p)*x^9)/(12*n + p + 1) + (22*a^3*b^9*x^(120*n)*x^(10*p)*x^10)/(12*n + p + 1) + (6*a^2*b^10*x^(132*n)*x^(11*p)*x^11)/(12*n + p + 1) + (6*a^11*b*x^(24*n)*x^(2*p)*x^2)/(12*n + p + 1) + (a*b^11*x^(144*n)*x^(12*p)*x^12)/(12*n + p + 1)","B"
349,1,14,16,5.325487,"\text{Not used}","int(x^12*(a + b*x^13)^12,x)","\frac{{\left(b\,x^{13}+a\right)}^{13}}{169\,b}","Not used",1,"(a + b*x^13)^13/(169*b)","B"
350,1,134,16,0.002380,"\text{Not used}","int(x^12*(a*x + b*x^26)^12,x)","\frac{a^{12}\,x^{25}}{25}+\frac{6\,a^{11}\,b\,x^{50}}{25}+\frac{22\,a^{10}\,b^2\,x^{75}}{25}+\frac{11\,a^9\,b^3\,x^{100}}{5}+\frac{99\,a^8\,b^4\,x^{125}}{25}+\frac{132\,a^7\,b^5\,x^{150}}{25}+\frac{132\,a^6\,b^6\,x^{175}}{25}+\frac{99\,a^5\,b^7\,x^{200}}{25}+\frac{11\,a^4\,b^8\,x^{225}}{5}+\frac{22\,a^3\,b^9\,x^{250}}{25}+\frac{6\,a^2\,b^{10}\,x^{275}}{25}+\frac{a\,b^{11}\,x^{300}}{25}+\frac{b^{12}\,x^{325}}{325}","Not used",1,"(a^12*x^25)/25 + (b^12*x^325)/325 + (6*a^11*b*x^50)/25 + (a*b^11*x^300)/25 + (22*a^10*b^2*x^75)/25 + (11*a^9*b^3*x^100)/5 + (99*a^8*b^4*x^125)/25 + (132*a^7*b^5*x^150)/25 + (132*a^6*b^6*x^175)/25 + (99*a^5*b^7*x^200)/25 + (11*a^4*b^8*x^225)/5 + (22*a^3*b^9*x^250)/25 + (6*a^2*b^10*x^275)/25","B"
351,1,134,16,5.221926,"\text{Not used}","int(x^12*(a*x^2 + b*x^39)^12,x)","\frac{a^{12}\,x^{37}}{37}+\frac{6\,a^{11}\,b\,x^{74}}{37}+\frac{22\,a^{10}\,b^2\,x^{111}}{37}+\frac{55\,a^9\,b^3\,x^{148}}{37}+\frac{99\,a^8\,b^4\,x^{185}}{37}+\frac{132\,a^7\,b^5\,x^{222}}{37}+\frac{132\,a^6\,b^6\,x^{259}}{37}+\frac{99\,a^5\,b^7\,x^{296}}{37}+\frac{55\,a^4\,b^8\,x^{333}}{37}+\frac{22\,a^3\,b^9\,x^{370}}{37}+\frac{6\,a^2\,b^{10}\,x^{407}}{37}+\frac{a\,b^{11}\,x^{444}}{37}+\frac{b^{12}\,x^{481}}{481}","Not used",1,"(a^12*x^37)/37 + (b^12*x^481)/481 + (6*a^11*b*x^74)/37 + (a*b^11*x^444)/37 + (22*a^10*b^2*x^111)/37 + (55*a^9*b^3*x^148)/37 + (99*a^8*b^4*x^185)/37 + (132*a^7*b^5*x^222)/37 + (132*a^6*b^6*x^259)/37 + (99*a^5*b^7*x^296)/37 + (55*a^4*b^8*x^333)/37 + (22*a^3*b^9*x^370)/37 + (6*a^2*b^10*x^407)/37","B"
352,1,14,16,5.202186,"\text{Not used}","int(x^24*(a + b*x^25)^12,x)","\frac{{\left(b\,x^{25}+a\right)}^{13}}{325\,b}","Not used",1,"(a + b*x^25)^13/(325*b)","B"
353,1,134,16,0.002483,"\text{Not used}","int(x^24*(a*x + b*x^38)^12,x)","\frac{a^{12}\,x^{37}}{37}+\frac{6\,a^{11}\,b\,x^{74}}{37}+\frac{22\,a^{10}\,b^2\,x^{111}}{37}+\frac{55\,a^9\,b^3\,x^{148}}{37}+\frac{99\,a^8\,b^4\,x^{185}}{37}+\frac{132\,a^7\,b^5\,x^{222}}{37}+\frac{132\,a^6\,b^6\,x^{259}}{37}+\frac{99\,a^5\,b^7\,x^{296}}{37}+\frac{55\,a^4\,b^8\,x^{333}}{37}+\frac{22\,a^3\,b^9\,x^{370}}{37}+\frac{6\,a^2\,b^{10}\,x^{407}}{37}+\frac{a\,b^{11}\,x^{444}}{37}+\frac{b^{12}\,x^{481}}{481}","Not used",1,"(a^12*x^37)/37 + (b^12*x^481)/481 + (6*a^11*b*x^74)/37 + (a*b^11*x^444)/37 + (22*a^10*b^2*x^111)/37 + (55*a^9*b^3*x^148)/37 + (99*a^8*b^4*x^185)/37 + (132*a^7*b^5*x^222)/37 + (132*a^6*b^6*x^259)/37 + (99*a^5*b^7*x^296)/37 + (55*a^4*b^8*x^333)/37 + (22*a^3*b^9*x^370)/37 + (6*a^2*b^10*x^407)/37","B"
354,1,14,16,5.177216,"\text{Not used}","int(x^36*(a + b*x^37)^12,x)","\frac{{\left(b\,x^{37}+a\right)}^{13}}{481\,b}","Not used",1,"(a + b*x^37)^13/(481*b)","B"
355,1,26,23,5.260473,"\text{Not used}","int(1/(b*x^n + a*x),x)","-\frac{\ln\left(b\,x^n+a\,x\right)-n\,\ln\left(x\right)}{a\,\left(n-1\right)}","Not used",1,"-(log(b*x^n + a*x) - n*log(x))/(a*(n - 1))","B"
356,1,31,23,5.226639,"\text{Not used}","int(1/(a*x + b*x^(n + 1)),x)","\frac{\ln\left(x\right)\,\left(n+1\right)}{a\,n}-\frac{\ln\left(x\,\left(a+b\,x^n\right)\right)}{a\,n}","Not used",1,"(log(x)*(n + 1))/(a*n) - log(x*(a + b*x^n))/(a*n)","B"
357,1,34,15,5.224720,"\text{Not used}","int(1/(a*x + b*x^(1 - n)),x)","\frac{\ln\left(a\,x+b\,x^{1-n}\right)}{a\,n}+\frac{\ln\left(x\right)\,\left(n-1\right)}{a\,n}","Not used",1,"log(a*x + b*x^(1 - n))/(a*n) + (log(x)*(n - 1))/(a*n)","B"
358,1,26,22,5.231439,"\text{Not used}","int(1/(2*x + 3*x^(n + 1)),x)","\frac{\ln\left(x\right)\,\left(n+1\right)}{2\,n}-\frac{\ln\left(\frac{2\,x}{3}+x^{n+1}\right)}{2\,n}","Not used",1,"(log(x)*(n + 1))/(2*n) - log((2*x)/3 + x^(n + 1))/(2*n)","B"
359,1,28,15,5.202802,"\text{Not used}","int(1/(2*x + 3*x^(1 - n)),x)","\frac{\ln\left(\frac{2\,x}{3}+x^{1-n}\right)}{2\,n}+\frac{\ln\left(x\right)\,\left(n-1\right)}{2\,n}","Not used",1,"log((2*x)/3 + x^(1 - n))/(2*n) + (log(x)*(n - 1))/(2*n)","B"
360,1,8,12,0.095534,"\text{Not used}","int(1/(x - x^(1/2)),x)","2\,\ln\left(\sqrt{x}-1\right)","Not used",1,"2*log(x^(1/2) - 1)","B"
361,1,8,14,5.296311,"\text{Not used}","int(1/(x - x^(3/5)),x)","\frac{5\,\ln\left(x^{2/5}-1\right)}{2}","Not used",1,"(5*log(x^(2/5) - 1))/2","B"
362,1,8,12,0.093655,"\text{Not used}","int(1/(x + 1/x^(1/3)),x)","\frac{3\,\ln\left(x^{4/3}+1\right)}{4}","Not used",1,"(3*log(x^(4/3) + 1))/4","B"
363,1,26,24,5.248767,"\text{Not used}","int(1/(x + x^(2^(1/2))),x)","\ln\left(x\right)\,\left(\sqrt{2}+2\right)-\frac{\ln\left(x+x^{\sqrt{2}}\right)}{\sqrt{2}-1}","Not used",1,"log(x)*(2^(1/2) + 2) - log(x + x^(2^(1/2)))/(2^(1/2) - 1)","B"
364,0,-1,75,0.000000,"\text{Not used}","int((a*x^j + b*x^n)^(1/2)/x^(j/2 + 1),x)","\int \frac{\sqrt{a\,x^j+b\,x^n}}{x^{\frac{j}{2}+1}} \,d x","Not used",1,"int((a*x^j + b*x^n)^(1/2)/x^(j/2 + 1), x)","F"
365,0,-1,99,0.000000,"\text{Not used}","int((a*x^j + b*x^n)^(1/2)/(c*x)^(j/2 + 1),x)","\int \frac{\sqrt{a\,x^j+b\,x^n}}{{\left(c\,x\right)}^{\frac{j}{2}+1}} \,d x","Not used",1,"int((a*x^j + b*x^n)^(1/2)/(c*x)^(j/2 + 1), x)","F"
366,0,-1,91,0.000000,"\text{Not used}","int((b*x^n + a*x^3)^(1/2)/(c*x)^(5/2),x)","\int \frac{\sqrt{b\,x^n+a\,x^3}}{{\left(c\,x\right)}^{5/2}} \,d x","Not used",1,"int((b*x^n + a*x^3)^(1/2)/(c*x)^(5/2), x)","F"
367,0,-1,71,0.000000,"\text{Not used}","int((b*x^n + a*x^2)^(1/2)/(c^2*x^2),x)","\int \frac{\sqrt{b\,x^n+a\,x^2}}{c^2\,x^2} \,d x","Not used",1,"int((b*x^n + a*x^2)^(1/2)/(c^2*x^2), x)","F"
368,0,-1,87,0.000000,"\text{Not used}","int((b*x^n + a*x)^(1/2)/(c*x)^(3/2),x)","\int \frac{\sqrt{b\,x^n+a\,x}}{{\left(c\,x\right)}^{3/2}} \,d x","Not used",1,"int((b*x^n + a*x)^(1/2)/(c*x)^(3/2), x)","F"
369,0,-1,51,0.000000,"\text{Not used}","int((a + b*x^n)^(1/2)/(c*x),x)","\int \frac{\sqrt{a+b\,x^n}}{c\,x} \,d x","Not used",1,"int((a + b*x^n)^(1/2)/(c*x), x)","F"
370,0,-1,84,0.000000,"\text{Not used}","int((b*x^n + a/x)^(1/2)/(c*x)^(1/2),x)","\int \frac{\sqrt{b\,x^n+\frac{a}{x}}}{\sqrt{c\,x}} \,d x","Not used",1,"int((b*x^n + a/x)^(1/2)/(c*x)^(1/2), x)","F"
371,1,97,61,5.169064,"\text{Not used}","int((b*x^n + a/x^2)^(1/2),x)","\frac{x\,\sqrt{b\,x^n+\frac{a}{x^2}}}{\frac{n}{2}+1}+\frac{\sqrt{a}\,x\,\mathrm{asin}\left(\frac{\sqrt{a}\,1{}\mathrm{i}}{\sqrt{b}\,x^{\frac{n}{2}+1}}\right)\,\sqrt{b\,x^n+\frac{a}{x^2}}\,1{}\mathrm{i}}{\sqrt{b}\,x^{\frac{n}{2}+1}\,\left(\frac{n}{2}+1\right)\,\sqrt{\frac{a}{b\,x^{n+2}}+1}}","Not used",1,"(x*(b*x^n + a/x^2)^(1/2))/(n/2 + 1) + (a^(1/2)*x*asin((a^(1/2)*1i)/(b^(1/2)*x^(n/2 + 1)))*(b*x^n + a/x^2)^(1/2)*1i)/(b^(1/2)*x^(n/2 + 1)*(n/2 + 1)*(a/(b*x^(n + 2)) + 1)^(1/2))","B"
372,0,-1,85,0.000000,"\text{Not used}","int((c*x)^(1/2)*(b*x^n + a/x^3)^(1/2),x)","\int \sqrt{c\,x}\,\sqrt{b\,x^n+\frac{a}{x^3}} \,d x","Not used",1,"int((c*x)^(1/2)*(b*x^n + a/x^3)^(1/2), x)","F"
373,0,-1,141,0.000000,"\text{Not used}","int((a*x^j + b*x^n)^(3/2)/(c*x)^((3*j)/2 + 1),x)","\int \frac{{\left(a\,x^j+b\,x^n\right)}^{3/2}}{{\left(c\,x\right)}^{\frac{3\,j}{2}+1}} \,d x","Not used",1,"int((a*x^j + b*x^n)^(3/2)/(c*x)^((3*j)/2 + 1), x)","F"
374,0,-1,128,0.000000,"\text{Not used}","int((b*x^n + a*x^3)^(3/2)/(c*x)^(11/2),x)","\int \frac{{\left(b\,x^n+a\,x^3\right)}^{3/2}}{{\left(c\,x\right)}^{11/2}} \,d x","Not used",1,"int((b*x^n + a*x^3)^(3/2)/(c*x)^(11/2), x)","F"
375,0,-1,104,0.000000,"\text{Not used}","int((b*x^n + a*x^2)^(3/2)/(c^4*x^4),x)","\int \frac{{\left(b\,x^n+a\,x^2\right)}^{3/2}}{c^4\,x^4} \,d x","Not used",1,"int((b*x^n + a*x^2)^(3/2)/(c^4*x^4), x)","F"
376,0,-1,122,0.000000,"\text{Not used}","int((b*x^n + a*x)^(3/2)/(c*x)^(5/2),x)","\int \frac{{\left(b\,x^n+a\,x\right)}^{3/2}}{{\left(c\,x\right)}^{5/2}} \,d x","Not used",1,"int((b*x^n + a*x)^(3/2)/(c*x)^(5/2), x)","F"
377,0,-1,73,0.000000,"\text{Not used}","int((a + b*x^n)^(3/2)/(c*x),x)","\int \frac{{\left(a+b\,x^n\right)}^{3/2}}{c\,x} \,d x","Not used",1,"int((a + b*x^n)^(3/2)/(c*x), x)","F"
378,0,-1,117,0.000000,"\text{Not used}","int((c*x)^(1/2)*(b*x^n + a/x)^(3/2),x)","\int \sqrt{c\,x}\,{\left(b\,x^n+\frac{a}{x}\right)}^{3/2} \,d x","Not used",1,"int((c*x)^(1/2)*(b*x^n + a/x)^(3/2), x)","F"
379,0,-1,98,0.000000,"\text{Not used}","int(c^2*x^2*(b*x^n + a/x^2)^(3/2),x)","\int c^2\,x^2\,{\left(b\,x^n+\frac{a}{x^2}\right)}^{3/2} \,d x","Not used",1,"int(c^2*x^2*(b*x^n + a/x^2)^(3/2), x)","F"
380,0,-1,122,0.000000,"\text{Not used}","int((c*x)^(7/2)*(b*x^n + a/x^3)^(3/2),x)","\int {\left(c\,x\right)}^{7/2}\,{\left(b\,x^n+\frac{a}{x^3}\right)}^{3/2} \,d x","Not used",1,"int((c*x)^(7/2)*(b*x^n + a/x^3)^(3/2), x)","F"
381,0,-1,100,0.000000,"\text{Not used}","int(c^5*x^5*(b*x^n + a/x^4)^(3/2),x)","\int c^5\,x^5\,{\left(b\,x^n+\frac{a}{x^4}\right)}^{3/2} \,d x","Not used",1,"int(c^5*x^5*(b*x^n + a/x^4)^(3/2), x)","F"
382,1,67,51,5.183760,"\text{Not used}","int(((a + b*x)/x^2)^(1/2),x)","2\,x\,\sqrt{\frac{a}{x^2}+\frac{b}{x}}+\frac{\sqrt{a}\,\sqrt{x}\,\mathrm{asin}\left(\frac{\sqrt{a}\,1{}\mathrm{i}}{\sqrt{b}\,\sqrt{x}}\right)\,\sqrt{\frac{a}{x^2}+\frac{b}{x}}\,2{}\mathrm{i}}{\sqrt{b}\,\sqrt{\frac{a}{b\,x}+1}}","Not used",1,"2*x*(a/x^2 + b/x)^(1/2) + (a^(1/2)*x^(1/2)*asin((a^(1/2)*1i)/(b^(1/2)*x^(1/2)))*(a/x^2 + b/x)^(1/2)*2i)/(b^(1/2)*(a/(b*x) + 1)^(1/2))","B"
383,1,55,42,5.573979,"\text{Not used}","int(((a + b*x^2)/x^2)^(1/2),x)","x\,\sqrt{b+\frac{a}{x^2}}+\frac{\sqrt{a}\,\mathrm{asin}\left(\frac{\sqrt{a}\,1{}\mathrm{i}}{\sqrt{b}\,x}\right)\,\sqrt{b+\frac{a}{x^2}}\,1{}\mathrm{i}}{\sqrt{b}\,\sqrt{\frac{a}{b\,x^2}+1}}","Not used",1,"x*(b + a/x^2)^(1/2) + (a^(1/2)*asin((a^(1/2)*1i)/(b^(1/2)*x))*(b + a/x^2)^(1/2)*1i)/(b^(1/2)*(a/(b*x^2) + 1)^(1/2))","B"
384,1,63,51,5.337367,"\text{Not used}","int(((a + b*x^3)/x^2)^(1/2),x)","\frac{2\,x\,\sqrt{b\,x+\frac{a}{x^2}}}{3}+\frac{\sqrt{a}\,\mathrm{asin}\left(\frac{\sqrt{a}\,1{}\mathrm{i}}{\sqrt{b}\,x^{3/2}}\right)\,\sqrt{b\,x+\frac{a}{x^2}}\,2{}\mathrm{i}}{3\,\sqrt{b}\,\sqrt{x}\,\sqrt{\frac{a}{b\,x^3}+1}}","Not used",1,"(2*x*(b*x + a/x^2)^(1/2))/3 + (a^(1/2)*asin((a^(1/2)*1i)/(b^(1/2)*x^(3/2)))*(b*x + a/x^2)^(1/2)*2i)/(3*b^(1/2)*x^(1/2)*(a/(b*x^3) + 1)^(1/2))","B"
385,0,-1,61,0.000000,"\text{Not used}","int(((a + b*x^n)/x^2)^(1/2),x)","\int \sqrt{\frac{a+b\,x^n}{x^2}} \,d x","Not used",1,"int(((a + b*x^n)/x^2)^(1/2), x)","F"
386,1,67,53,5.181742,"\text{Not used}","int((-(a - b*x)/x^2)^(1/2),x)","2\,x\,\sqrt{\frac{b}{x}-\frac{a}{x^2}}+\frac{2\,\sqrt{a}\,\sqrt{x}\,\mathrm{asin}\left(\frac{\sqrt{a}}{\sqrt{b}\,\sqrt{x}}\right)\,\sqrt{\frac{b}{x}-\frac{a}{x^2}}}{\sqrt{b}\,\sqrt{1-\frac{a}{b\,x}}}","Not used",1,"2*x*(b/x - a/x^2)^(1/2) + (2*a^(1/2)*x^(1/2)*asin(a^(1/2)/(b^(1/2)*x^(1/2)))*(b/x - a/x^2)^(1/2))/(b^(1/2)*(1 - a/(b*x))^(1/2))","B"
387,1,54,43,5.383647,"\text{Not used}","int((-(a - b*x^2)/x^2)^(1/2),x)","x\,\sqrt{b-\frac{a}{x^2}}+\frac{\sqrt{a}\,\mathrm{asin}\left(\frac{\sqrt{a}}{\sqrt{b}\,x}\right)\,\sqrt{b-\frac{a}{x^2}}}{\sqrt{b}\,\sqrt{1-\frac{a}{b\,x^2}}}","Not used",1,"x*(b - a/x^2)^(1/2) + (a^(1/2)*asin(a^(1/2)/(b^(1/2)*x))*(b - a/x^2)^(1/2))/(b^(1/2)*(1 - a/(b*x^2))^(1/2))","B"
388,1,63,53,5.353542,"\text{Not used}","int((-(a - b*x^3)/x^2)^(1/2),x)","\frac{2\,x\,\sqrt{b\,x-\frac{a}{x^2}}}{3}+\frac{2\,\sqrt{a}\,\mathrm{asin}\left(\frac{\sqrt{a}}{\sqrt{b}\,x^{3/2}}\right)\,\sqrt{b\,x-\frac{a}{x^2}}}{3\,\sqrt{b}\,\sqrt{x}\,\sqrt{1-\frac{a}{b\,x^3}}}","Not used",1,"(2*x*(b*x - a/x^2)^(1/2))/3 + (2*a^(1/2)*asin(a^(1/2)/(b^(1/2)*x^(3/2)))*(b*x - a/x^2)^(1/2))/(3*b^(1/2)*x^(1/2)*(1 - a/(b*x^3))^(1/2))","B"
389,0,-1,63,0.000000,"\text{Not used}","int((-(a - b*x^n)/x^2)^(1/2),x)","\int \sqrt{-\frac{a-b\,x^n}{x^2}} \,d x","Not used",1,"int((-(a - b*x^n)/x^2)^(1/2), x)","F"
390,0,-1,62,0.000000,"\text{Not used}","int((c*x)^(j/2 - 1)/(a*x^j + b*x^n)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{\frac{j}{2}-1}}{\sqrt{a\,x^j+b\,x^n}} \,d x","Not used",1,"int((c*x)^(j/2 - 1)/(a*x^j + b*x^n)^(1/2), x)","F"
391,0,-1,53,0.000000,"\text{Not used}","int((c*x)^(1/2)/(b*x^n + a*x^3)^(1/2),x)","\int \frac{\sqrt{c\,x}}{\sqrt{b\,x^n+a\,x^3}} \,d x","Not used",1,"int((c*x)^(1/2)/(b*x^n + a*x^3)^(1/2), x)","F"
392,1,67,37,5.386975,"\text{Not used}","int(1/(b*x^n + a*x^2)^(1/2),x)","\frac{\sqrt{b}\,x^{n/2}\,\mathrm{asin}\left(\frac{\sqrt{a}\,x^{1-\frac{n}{2}}\,1{}\mathrm{i}}{\sqrt{b}}\right)\,\sqrt{\frac{a\,x^{2-n}}{b}+1}\,1{}\mathrm{i}}{\sqrt{a}\,\left(\frac{n}{2}-1\right)\,\sqrt{b\,x^n+a\,x^2}}","Not used",1,"(b^(1/2)*x^(n/2)*asin((a^(1/2)*x^(1 - n/2)*1i)/b^(1/2))*((a*x^(2 - n))/b + 1)^(1/2)*1i)/(a^(1/2)*(n/2 - 1)*(b*x^n + a*x^2)^(1/2))","B"
393,0,-1,51,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(b*x^n + a*x)^(1/2)),x)","\int \frac{1}{\sqrt{c\,x}\,\sqrt{b\,x^n+a\,x}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(b*x^n + a*x)^(1/2)), x)","F"
394,0,-1,31,0.000000,"\text{Not used}","int(1/(c*x*(a + b*x^n)^(1/2)),x)","\int \frac{1}{c\,x\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(c*x*(a + b*x^n)^(1/2)), x)","F"
395,0,-1,54,0.000000,"\text{Not used}","int(1/((c*x)^(3/2)*(b*x^n + a/x)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/2}\,\sqrt{b\,x^n+\frac{a}{x}}} \,d x","Not used",1,"int(1/((c*x)^(3/2)*(b*x^n + a/x)^(1/2)), x)","F"
396,0,-1,40,0.000000,"\text{Not used}","int(1/(c^2*x^2*(b*x^n + a/x^2)^(1/2)),x)","\int \frac{1}{c^2\,x^2\,\sqrt{b\,x^n+\frac{a}{x^2}}} \,d x","Not used",1,"int(1/(c^2*x^2*(b*x^n + a/x^2)^(1/2)), x)","F"
397,0,-1,54,0.000000,"\text{Not used}","int(1/((c*x)^(5/2)*(b*x^n + a/x^3)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/2}\,\sqrt{b\,x^n+\frac{a}{x^3}}} \,d x","Not used",1,"int(1/((c*x)^(5/2)*(b*x^n + a/x^3)^(1/2)), x)","F"
398,0,-1,107,0.000000,"\text{Not used}","int((c*x)^((3*j)/2 - 1)/(a*x^j + b*x^n)^(3/2),x)","\int \frac{{\left(c\,x\right)}^{\frac{3\,j}{2}-1}}{{\left(a\,x^j+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^((3*j)/2 - 1)/(a*x^j + b*x^n)^(3/2), x)","F"
399,0,-1,94,0.000000,"\text{Not used}","int((c*x)^(7/2)/(b*x^n + a*x^3)^(3/2),x)","\int \frac{{\left(c\,x\right)}^{7/2}}{{\left(b\,x^n+a\,x^3\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^(7/2)/(b*x^n + a*x^3)^(3/2), x)","F"
400,0,-1,72,0.000000,"\text{Not used}","int((c^2*x^2)/(b*x^n + a*x^2)^(3/2),x)","\int \frac{c^2\,x^2}{{\left(b\,x^n+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((c^2*x^2)/(b*x^n + a*x^2)^(3/2), x)","F"
401,0,-1,85,0.000000,"\text{Not used}","int((c*x)^(1/2)/(b*x^n + a*x)^(3/2),x)","\int \frac{\sqrt{c\,x}}{{\left(b\,x^n+a\,x\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^(1/2)/(b*x^n + a*x)^(3/2), x)","F"
402,0,-1,54,0.000000,"\text{Not used}","int(1/(c*x*(a + b*x^n)^(3/2)),x)","\int \frac{1}{c\,x\,{\left(a+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(c*x*(a + b*x^n)^(3/2)), x)","F"
403,0,-1,90,0.000000,"\text{Not used}","int(1/((c*x)^(5/2)*(b*x^n + a/x)^(3/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/2}\,{\left(b\,x^n+\frac{a}{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c*x)^(5/2)*(b*x^n + a/x)^(3/2)), x)","F"
404,0,-1,72,0.000000,"\text{Not used}","int(1/(c^4*x^4*(b*x^n + a/x^2)^(3/2)),x)","\int \frac{1}{c^4\,x^4\,{\left(b\,x^n+\frac{a}{x^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(c^4*x^4*(b*x^n + a/x^2)^(3/2)), x)","F"
405,0,-1,90,0.000000,"\text{Not used}","int(1/((c*x)^(11/2)*(b*x^n + a/x^3)^(3/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{11/2}\,{\left(b\,x^n+\frac{a}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c*x)^(11/2)*(b*x^n + a/x^3)^(3/2)), x)","F"
406,0,-1,72,0.000000,"\text{Not used}","int(1/(c^7*x^7*(b*x^n + a/x^4)^(3/2)),x)","\int \frac{1}{c^7\,x^7\,{\left(b\,x^n+\frac{a}{x^4}\right)}^{3/2}} \,d x","Not used",1,"int(1/(c^7*x^7*(b*x^n + a/x^4)^(3/2)), x)","F"
407,0,-1,32,0.000000,"\text{Not used}","int(1/((a + b*x^3)/x)^(1/2),x)","\int \frac{1}{\sqrt{\frac{b\,x^3+a}{x}}} \,d x","Not used",1,"int(1/((a + b*x^3)/x)^(1/2), x)","F"
408,0,-1,32,0.000000,"\text{Not used}","int(1/((a + b*x^4)/x^2)^(1/2),x)","\int \frac{1}{\sqrt{\frac{b\,x^4+a}{x^2}}} \,d x","Not used",1,"int(1/((a + b*x^4)/x^2)^(1/2), x)","F"
409,0,-1,32,0.000000,"\text{Not used}","int(1/((a + b*x^5)/x^3)^(1/2),x)","\int \frac{1}{\sqrt{\frac{b\,x^5+a}{x^3}}} \,d x","Not used",1,"int(1/((a + b*x^5)/x^3)^(1/2), x)","F"
410,0,-1,37,0.000000,"\text{Not used}","int(1/(x^(2 - n)*(a + b*x^n))^(1/2),x)","\int \frac{1}{\sqrt{x^{2-n}\,\left(a+b\,x^n\right)}} \,d x","Not used",1,"int(1/(x^(2 - n)*(a + b*x^n))^(1/2), x)","F"
411,0,-1,33,0.000000,"\text{Not used}","int(1/((a - b*x^3)/x)^(1/2),x)","\int \frac{1}{\sqrt{\frac{a-b\,x^3}{x}}} \,d x","Not used",1,"int(1/((a - b*x^3)/x)^(1/2), x)","F"
412,0,-1,33,0.000000,"\text{Not used}","int(1/((a - b*x^4)/x^2)^(1/2),x)","\int \frac{1}{\sqrt{\frac{a-b\,x^4}{x^2}}} \,d x","Not used",1,"int(1/((a - b*x^4)/x^2)^(1/2), x)","F"
413,0,-1,33,0.000000,"\text{Not used}","int(1/((a - b*x^5)/x^3)^(1/2),x)","\int \frac{1}{\sqrt{\frac{a-b\,x^5}{x^3}}} \,d x","Not used",1,"int(1/((a - b*x^5)/x^3)^(1/2), x)","F"
414,0,-1,38,0.000000,"\text{Not used}","int(1/(x^(2 - n)*(a - b*x^n))^(1/2),x)","\int \frac{1}{\sqrt{x^{2-n}\,\left(a-b\,x^n\right)}} \,d x","Not used",1,"int(1/(x^(2 - n)*(a - b*x^n))^(1/2), x)","F"
415,1,67,37,5.209198,"\text{Not used}","int(1/(x^n*(a + b*x^(2 - n)))^(1/2),x)","\frac{\sqrt{a}\,x^{n/2}\,\mathrm{asin}\left(\frac{\sqrt{b}\,x^{1-\frac{n}{2}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,\sqrt{\frac{b\,x^{2-n}}{a}+1}\,1{}\mathrm{i}}{\sqrt{b}\,\left(\frac{n}{2}-1\right)\,\sqrt{a\,x^n+b\,x^2}}","Not used",1,"(a^(1/2)*x^(n/2)*asin((b^(1/2)*x^(1 - n/2)*1i)/a^(1/2))*((b*x^(2 - n))/a + 1)^(1/2)*1i)/(b^(1/2)*(n/2 - 1)*(a*x^n + b*x^2)^(1/2))","B"
416,1,67,37,5.322939,"\text{Not used}","int(1/(x^2*(b + a*x^(n - 2)))^(1/2),x)","\frac{\sqrt{a}\,x^{n/2}\,\mathrm{asin}\left(\frac{\sqrt{b}\,x^{1-\frac{n}{2}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,\sqrt{\frac{b\,x^{2-n}}{a}+1}\,1{}\mathrm{i}}{\sqrt{b}\,\left(\frac{n}{2}-1\right)\,\sqrt{a\,x^n+b\,x^2}}","Not used",1,"(a^(1/2)*x^(n/2)*asin((b^(1/2)*x^(1 - n/2)*1i)/a^(1/2))*((b*x^(2 - n))/a + 1)^(1/2)*1i)/(b^(1/2)*(n/2 - 1)*(a*x^n + b*x^2)^(1/2))","B"
417,1,67,37,5.127235,"\text{Not used}","int(1/(x*(b*x + a*x^(n - 1)))^(1/2),x)","\frac{\sqrt{a}\,x^{n/2}\,\mathrm{asin}\left(\frac{\sqrt{b}\,x^{1-\frac{n}{2}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,\sqrt{\frac{b\,x^{2-n}}{a}+1}\,1{}\mathrm{i}}{\sqrt{b}\,\left(\frac{n}{2}-1\right)\,\sqrt{a\,x^n+b\,x^2}}","Not used",1,"(a^(1/2)*x^(n/2)*asin((b^(1/2)*x^(1 - n/2)*1i)/a^(1/2))*((b*x^(2 - n))/a + 1)^(1/2)*1i)/(b^(1/2)*(n/2 - 1)*(a*x^n + b*x^2)^(1/2))","B"
418,1,66,38,5.166391,"\text{Not used}","int(1/(x^n*(a - b*x^(2 - n)))^(1/2),x)","-\frac{\sqrt{a}\,x^{n/2}\,\mathrm{asin}\left(\frac{\sqrt{b}\,x^{1-\frac{n}{2}}}{\sqrt{a}}\right)\,\sqrt{1-\frac{b\,x^{2-n}}{a}}}{\sqrt{b}\,\left(\frac{n}{2}-1\right)\,\sqrt{a\,x^n-b\,x^2}}","Not used",1,"-(a^(1/2)*x^(n/2)*asin((b^(1/2)*x^(1 - n/2))/a^(1/2))*(1 - (b*x^(2 - n))/a)^(1/2))/(b^(1/2)*(n/2 - 1)*(a*x^n - b*x^2)^(1/2))","B"
419,1,66,38,5.102191,"\text{Not used}","int(1/(-x^2*(b - a*x^(n - 2)))^(1/2),x)","-\frac{\sqrt{a}\,x^{n/2}\,\mathrm{asin}\left(\frac{\sqrt{b}\,x^{1-\frac{n}{2}}}{\sqrt{a}}\right)\,\sqrt{1-\frac{b\,x^{2-n}}{a}}}{\sqrt{b}\,\left(\frac{n}{2}-1\right)\,\sqrt{a\,x^n-b\,x^2}}","Not used",1,"-(a^(1/2)*x^(n/2)*asin((b^(1/2)*x^(1 - n/2))/a^(1/2))*(1 - (b*x^(2 - n))/a)^(1/2))/(b^(1/2)*(n/2 - 1)*(a*x^n - b*x^2)^(1/2))","B"
420,1,66,38,5.117417,"\text{Not used}","int(1/(-x*(b*x - a*x^(n - 1)))^(1/2),x)","-\frac{\sqrt{a}\,x^{n/2}\,\mathrm{asin}\left(\frac{\sqrt{b}\,x^{1-\frac{n}{2}}}{\sqrt{a}}\right)\,\sqrt{1-\frac{b\,x^{2-n}}{a}}}{\sqrt{b}\,\left(\frac{n}{2}-1\right)\,\sqrt{a\,x^n-b\,x^2}}","Not used",1,"-(a^(1/2)*x^(n/2)*asin((b^(1/2)*x^(1 - n/2))/a^(1/2))*(1 - (b*x^(2 - n))/a)^(1/2))/(b^(1/2)*(n/2 - 1)*(a*x^n - b*x^2)^(1/2))","B"
421,0,-1,107,0.000000,"\text{Not used}","int((c*x)^m*(a*x^j + b*x^n)^(3/2),x)","\int {\left(c\,x\right)}^m\,{\left(a\,x^j+b\,x^n\right)}^{3/2} \,d x","Not used",1,"int((c*x)^m*(a*x^j + b*x^n)^(3/2), x)","F"
422,0,-1,100,0.000000,"\text{Not used}","int((c*x)^m*(a*x^j + b*x^n)^(1/2),x)","\int {\left(c\,x\right)}^m\,\sqrt{a\,x^j+b\,x^n} \,d x","Not used",1,"int((c*x)^m*(a*x^j + b*x^n)^(1/2), x)","F"
423,0,-1,102,0.000000,"\text{Not used}","int((c*x)^m/(a*x^j + b*x^n)^(1/2),x)","\int \frac{{\left(c\,x\right)}^m}{\sqrt{a\,x^j+b\,x^n}} \,d x","Not used",1,"int((c*x)^m/(a*x^j + b*x^n)^(1/2), x)","F"
424,0,-1,111,0.000000,"\text{Not used}","int((c*x)^m/(a*x^j + b*x^n)^(3/2),x)","\int \frac{{\left(c\,x\right)}^m}{{\left(a\,x^j+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^m/(a*x^j + b*x^n)^(3/2), x)","F"
425,0,-1,111,0.000000,"\text{Not used}","int((c*x)^m/(a*x^j + b*x^n)^(5/2),x)","\int \frac{{\left(c\,x\right)}^m}{{\left(a\,x^j+b\,x^n\right)}^{5/2}} \,d x","Not used",1,"int((c*x)^m/(a*x^j + b*x^n)^(5/2), x)","F"
426,1,82,97,5.245119,"\text{Not used}","int((a*x^j + b*x^n)^(3/2),x)","\frac{x\,{\left(a\,x^j+b\,x^n\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{\frac{3\,n}{2}+1}{j-n};\ \frac{\frac{3\,n}{2}+1}{j-n}+1;\ -\frac{a\,x^{j-n}}{b}\right)}{\left(\frac{3\,n}{2}+1\right)\,{\left(\frac{a\,x^{j-n}}{b}+1\right)}^{3/2}}","Not used",1,"(x*(a*x^j + b*x^n)^(3/2)*hypergeom([-3/2, ((3*n)/2 + 1)/(j - n)], ((3*n)/2 + 1)/(j - n) + 1, -(a*x^(j - n))/b))/(((3*n)/2 + 1)*((a*x^(j - n))/b + 1)^(3/2))","B"
427,1,82,87,5.225072,"\text{Not used}","int((a*x^j + b*x^n)^(1/2),x)","\frac{x\,\sqrt{a\,x^j+b\,x^n}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{\frac{n}{2}+1}{j-n};\ \frac{\frac{n}{2}+1}{j-n}+1;\ -\frac{a\,x^{j-n}}{b}\right)}{\left(\frac{n}{2}+1\right)\,\sqrt{\frac{a\,x^{j-n}}{b}+1}}","Not used",1,"(x*(a*x^j + b*x^n)^(1/2)*hypergeom([-1/2, (n/2 + 1)/(j - n)], (n/2 + 1)/(j - n) + 1, -(a*x^(j - n))/b))/((n/2 + 1)*((a*x^(j - n))/b + 1)^(1/2))","B"
428,1,83,93,5.273148,"\text{Not used}","int(1/(a*x^j + b*x^n)^(1/2),x)","-\frac{x\,\sqrt{\frac{b\,x^{n-j}}{a}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{\frac{j}{2}-1}{j-n};\ \frac{\frac{j}{2}-1}{j-n}+1;\ -\frac{b\,x^{n-j}}{a}\right)}{\left(\frac{j}{2}-1\right)\,\sqrt{a\,x^j+b\,x^n}}","Not used",1,"-(x*((b*x^(n - j))/a + 1)^(1/2)*hypergeom([1/2, (j/2 - 1)/(j - n)], (j/2 - 1)/(j - n) + 1, -(b*x^(n - j))/a))/((j/2 - 1)*(a*x^j + b*x^n)^(1/2))","B"
429,1,83,101,5.483817,"\text{Not used}","int(1/(a*x^j + b*x^n)^(3/2),x)","-\frac{x\,{\left(\frac{b\,x^{n-j}}{a}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{\frac{3\,j}{2}-1}{j-n};\ \frac{\frac{3\,j}{2}-1}{j-n}+1;\ -\frac{b\,x^{n-j}}{a}\right)}{\left(\frac{3\,j}{2}-1\right)\,{\left(a\,x^j+b\,x^n\right)}^{3/2}}","Not used",1,"-(x*((b*x^(n - j))/a + 1)^(3/2)*hypergeom([3/2, ((3*j)/2 - 1)/(j - n)], ((3*j)/2 - 1)/(j - n) + 1, -(b*x^(n - j))/a))/(((3*j)/2 - 1)*(a*x^j + b*x^n)^(3/2))","B"
430,1,83,101,5.603779,"\text{Not used}","int(1/(a*x^j + b*x^n)^(5/2),x)","-\frac{x\,{\left(\frac{b\,x^{n-j}}{a}+1\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{2},\frac{\frac{5\,j}{2}-1}{j-n};\ \frac{\frac{5\,j}{2}-1}{j-n}+1;\ -\frac{b\,x^{n-j}}{a}\right)}{\left(\frac{5\,j}{2}-1\right)\,{\left(a\,x^j+b\,x^n\right)}^{5/2}}","Not used",1,"-(x*((b*x^(n - j))/a + 1)^(5/2)*hypergeom([5/2, ((5*j)/2 - 1)/(j - n)], ((5*j)/2 - 1)/(j - n) + 1, -(b*x^(n - j))/a))/(((5*j)/2 - 1)*(a*x^j + b*x^n)^(5/2))","B"
431,1,15,18,5.262057,"\text{Not used}","int(((x + 1)/x^5)^(1/2),x)","-\frac{2\,x\,\sqrt{\frac{x+1}{x^5}}\,\left(x+1\right)}{3}","Not used",1,"-(2*x*((x + 1)/x^5)^(1/2)*(x + 1))/3","B"
432,1,27,20,5.322143,"\text{Not used}","int((x + x^(5/2))^(1/2),x)","\frac{2\,x\,\sqrt{x+x^{5/2}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},1;\ 2;\ -x^{3/2}\right)}{3\,\sqrt{x^{3/2}+1}}","Not used",1,"(2*x*(x + x^(5/2))^(1/2)*hypergeom([-1/2, 1], 2, -x^(3/2)))/(3*(x^(3/2) + 1)^(1/2))","B"
433,1,6,8,5.243911,"\text{Not used}","int(1/(x^(1/2) + x^(3/2)),x)","2\,\mathrm{atan}\left(\sqrt{x}\right)","Not used",1,"2*atan(x^(1/2))","B"
434,1,22,25,5.231457,"\text{Not used}","int(x*(x^2*(a + b*x^3))^(1/2),x)","\frac{2\,{\left(b\,x^3+a\right)}^{3/2}\,\sqrt{x^2}}{9\,b\,x}","Not used",1,"(2*(a + b*x^3)^(3/2)*(x^2)^(1/2))/(9*b*x)","B"
435,1,29,25,5.257593,"\text{Not used}","int(x*(a*x^2 + b*x^5)^(1/2),x)","\frac{\left(\frac{2\,a}{9\,b}+\frac{2\,x^3}{9}\right)\,\sqrt{b\,x^5+a\,x^2}}{x}","Not used",1,"(((2*a)/(9*b) + (2*x^3)/9)*(a*x^2 + b*x^5)^(1/2))/x","B"
436,1,22,25,5.211268,"\text{Not used}","int((x^4*(a + b*x^3))^(1/2),x)","\frac{2\,{\left(b\,x^3+a\right)}^{3/2}\,\sqrt{x^4}}{9\,b\,x^2}","Not used",1,"(2*(a + b*x^3)^(3/2)*(x^4)^(1/2))/(9*b*x^2)","B"
437,1,42,988,5.410316,"\text{Not used}","int(1/(a*x^(1/3) + b*x^(2/3))^(1/3),x)","\frac{9\,x\,{\left(\frac{b\,x^{1/3}}{a}+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{8}{3};\ \frac{11}{3};\ -\frac{b\,x^{1/3}}{a}\right)}{8\,{\left(a\,x^{1/3}+b\,x^{2/3}\right)}^{1/3}}","Not used",1,"(9*x*((b*x^(1/3))/a + 1)^(1/3)*hypergeom([1/3, 8/3], 11/3, -(b*x^(1/3))/a))/(8*(a*x^(1/3) + b*x^(2/3))^(1/3))","B"
438,1,42,487,5.250649,"\text{Not used}","int(1/(a*x^(1/3) + b*x^(2/3))^(2/3),x)","\frac{9\,x\,{\left(\frac{b\,x^{1/3}}{a}+1\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{2}{3},\frac{7}{3};\ \frac{10}{3};\ -\frac{b\,x^{1/3}}{a}\right)}{7\,{\left(a\,x^{1/3}+b\,x^{2/3}\right)}^{2/3}}","Not used",1,"(9*x*((b*x^(1/3))/a + 1)^(2/3)*hypergeom([2/3, 7/3], 10/3, -(b*x^(1/3))/a))/(7*(a*x^(1/3) + b*x^(2/3))^(2/3))","B"
439,0,-1,89,0.000000,"\text{Not used}","int(x^m*(a*x^j + b*x^n)^p,x)","\int x^m\,{\left(a\,x^j+b\,x^n\right)}^p \,d x","Not used",1,"int(x^m*(a*x^j + b*x^n)^p, x)","F"
440,0,-1,69,0.000000,"\text{Not used}","int((b*x^n + a*x^q)^p/x^(p*q + 1),x)","\int \frac{{\left(b\,x^n+a\,x^q\right)}^p}{x^{p\,q+1}} \,d x","Not used",1,"int((b*x^n + a*x^q)^p/x^(p*q + 1), x)","F"
441,0,-1,66,0.000000,"\text{Not used}","int((b*x^n + a*x^q)^p/x^(n*p + 1),x)","\int \frac{{\left(b\,x^n+a\,x^q\right)}^p}{x^{n\,p+1}} \,d x","Not used",1,"int((b*x^n + a*x^q)^p/x^(n*p + 1), x)","F"
442,0,-1,69,0.000000,"\text{Not used}","int((b*x^n + a*x^q)^p/x^(n + q*(p - 1) + 1),x)","\int \frac{{\left(b\,x^n+a\,x^q\right)}^p}{x^{n+q\,\left(p-1\right)+1}} \,d x","Not used",1,"int((b*x^n + a*x^q)^p/x^(n + q*(p - 1) + 1), x)","F"
443,0,-1,84,0.000000,"\text{Not used}","int((b*x^n + a*x^q)^p/x^(q + n*(p - 1) + 1),x)","\int \frac{{\left(b\,x^n+a\,x^q\right)}^p}{x^{q+n\,\left(p-1\right)+1}} \,d x","Not used",1,"int((b*x^n + a*x^q)^p/x^(q + n*(p - 1) + 1), x)","F"
444,1,76,44,5.303406,"\text{Not used}","int((a*x^m + b*x^(m + m*p + 1))^p,x)","\frac{a\,{\left(a\,x^m+b\,x^{m+m\,p+1}\right)}^p\,\left(\frac{b\,x^{m\,p+1}}{a}-\frac{1}{{\left(\frac{b\,x^{m\,p+1}}{a}+1\right)}^p}+1\right)}{b\,x^{m\,p}\,\left(m\,p+1\right)\,\left(p+1\right)}","Not used",1,"(a*(a*x^m + b*x^(m + m*p + 1))^p*((b*x^(m*p + 1))/a - 1/((b*x^(m*p + 1))/a + 1)^p + 1))/(b*x^(m*p)*(m*p + 1)*(p + 1))","B"
445,0,-1,44,0.000000,"\text{Not used}","int((x^m*(a + b*x^(m*p + 1)))^p,x)","\int {\left(x^m\,\left(a+b\,x^{m\,p+1}\right)\right)}^p \,d x","Not used",1,"int((x^m*(a + b*x^(m*p + 1)))^p, x)","F"
446,0,-1,46,0.000000,"\text{Not used}","int(x^n*(x^m*(a + b*x^(n + m*p + 1)))^p,x)","\int x^n\,{\left(x^m\,\left(a+b\,x^{n+m\,p+1}\right)\right)}^p \,d x","Not used",1,"int(x^n*(x^m*(a + b*x^(n + m*p + 1)))^p, x)","F"
447,0,-1,46,0.000000,"\text{Not used}","int(x^n*(a*x^m + b*x^(m + n + m*p + 1))^p,x)","\int x^n\,{\left(a\,x^m+b\,x^{m+n+m\,p+1}\right)}^p \,d x","Not used",1,"int(x^n*(a*x^m + b*x^(m + n + m*p + 1))^p, x)","F"
448,0,-1,44,0.000000,"\text{Not used}","int((x^(2*n - 2)*(a + b*x^n))^(1/2),x)","\int \sqrt{x^{2\,n-2}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int((x^(2*n - 2)*(a + b*x^n))^(1/2), x)","F"
449,0,-1,44,0.000000,"\text{Not used}","int((x^(3*n - 3)*(a + b*x^n))^(1/3),x)","\int {\left(x^{3\,n-3}\,\left(a+b\,x^n\right)\right)}^{1/3} \,d x","Not used",1,"int((x^(3*n - 3)*(a + b*x^n))^(1/3), x)","F"
450,0,-1,44,0.000000,"\text{Not used}","int((x^(4*n - 4)*(a + b*x^n))^(1/4),x)","\int {\left(x^{4\,n-4}\,\left(a+b\,x^n\right)\right)}^{1/4} \,d x","Not used",1,"int((x^(4*n - 4)*(a + b*x^n))^(1/4), x)","F"
451,0,-1,57,0.000000,"\text{Not used}","int((x^(p*(n - 1))*(a + b*x^n))^(1/p),x)","\int {\left(x^{p\,\left(n-1\right)}\,\left(a+b\,x^n\right)\right)}^{1/p} \,d x","Not used",1,"int((x^(p*(n - 1))*(a + b*x^n))^(1/p), x)","F"
452,0,-1,61,0.000000,"\text{Not used}","int((x^((n - 1)/p)*(a + b*x^n))^p,x)","\int {\left(x^{\frac{n-1}{p}}\,\left(a+b\,x^n\right)\right)}^p \,d x","Not used",1,"int((x^((n - 1)/p)*(a + b*x^n))^p, x)","F"
453,0,-1,39,0.000000,"\text{Not used}","int(x^(n - p*(q + 1) - 1)*(a*x^n + b*x^p)^q,x)","\int x^{n-p\,\left(q+1\right)-1}\,{\left(a\,x^n+b\,x^p\right)}^q \,d x","Not used",1,"int(x^(n - p*(q + 1) - 1)*(a*x^n + b*x^p)^q, x)","F"
454,0,-1,40,0.000000,"\text{Not used}","int((x^n*(a + b*x^p))^q/x^(n*q + p*(q + 1) + 1),x)","\int \frac{{\left(x^n\,\left(a+b\,x^p\right)\right)}^q}{x^{n\,q+p\,\left(q+1\right)+1}} \,d x","Not used",1,"int((x^n*(a + b*x^p))^q/x^(n*q + p*(q + 1) + 1), x)","F"