1,1,13,17,0.029378,"\text{Not used}","int(x^4*(a + b*x^2),x)","\frac{b\,x^7}{7}+\frac{a\,x^5}{5}","Not used",1,"(a*x^5)/5 + (b*x^7)/7","B"
2,1,13,17,0.021055,"\text{Not used}","int(x^3*(a + b*x^2),x)","\frac{b\,x^6}{6}+\frac{a\,x^4}{4}","Not used",1,"(a*x^4)/4 + (b*x^6)/6","B"
3,1,13,17,0.019909,"\text{Not used}","int(x^2*(a + b*x^2),x)","\frac{b\,x^5}{5}+\frac{a\,x^3}{3}","Not used",1,"(a*x^3)/3 + (b*x^5)/5","B"
4,1,13,17,0.021292,"\text{Not used}","int(x*(a + b*x^2),x)","\frac{b\,x^4}{4}+\frac{a\,x^2}{2}","Not used",1,"(a*x^2)/2 + (b*x^4)/4","B"
5,1,10,12,0.016367,"\text{Not used}","int(a + b*x^2,x)","\frac{b\,x^3}{3}+a\,x","Not used",1,"a*x + (b*x^3)/3","B"
6,1,11,13,0.021263,"\text{Not used}","int((a + b*x^2)/x,x)","\frac{b\,x^2}{2}+a\,\ln\left(x\right)","Not used",1,"(b*x^2)/2 + a*log(x)","B"
7,1,10,10,0.023246,"\text{Not used}","int((a + b*x^2)/x^2,x)","b\,x-\frac{a}{x}","Not used",1,"b*x - a/x","B"
8,1,11,13,4.925314,"\text{Not used}","int((a + b*x^2)/x^3,x)","b\,\ln\left(x\right)-\frac{a}{2\,x^2}","Not used",1,"b*log(x) - a/(2*x^2)","B"
9,1,13,15,0.026277,"\text{Not used}","int((a + b*x^2)/x^4,x)","-\frac{3\,b\,x^2+a}{3\,x^3}","Not used",1,"-(a + 3*b*x^2)/(3*x^3)","B"
10,1,13,17,0.024412,"\text{Not used}","int((a + b*x^2)/x^5,x)","-\frac{2\,b\,x^2+a}{4\,x^4}","Not used",1,"-(a + 2*b*x^2)/(4*x^4)","B"
11,1,15,17,0.027003,"\text{Not used}","int((a + b*x^2)/x^6,x)","-\frac{5\,b\,x^2+3\,a}{15\,x^5}","Not used",1,"-(3*a + 5*b*x^2)/(15*x^5)","B"
12,1,15,17,0.026329,"\text{Not used}","int((a + b*x^2)/x^7,x)","-\frac{3\,b\,x^2+2\,a}{12\,x^6}","Not used",1,"-(2*a + 3*b*x^2)/(12*x^6)","B"
13,1,24,30,0.036687,"\text{Not used}","int(x^5*(a + b*x^2)^2,x)","\frac{a^2\,x^6}{6}+\frac{a\,b\,x^8}{4}+\frac{b^2\,x^{10}}{10}","Not used",1,"(a^2*x^6)/6 + (b^2*x^10)/10 + (a*b*x^8)/4","B"
14,1,24,30,0.031326,"\text{Not used}","int(x^4*(a + b*x^2)^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"
15,1,24,30,0.031420,"\text{Not used}","int(x^3*(a + b*x^2)^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"
16,1,24,30,0.033608,"\text{Not used}","int(x^2*(a + b*x^2)^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"
17,1,24,16,0.031035,"\text{Not used}","int(x*(a + b*x^2)^2,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"
18,1,21,25,0.028574,"\text{Not used}","int((a + b*x^2)^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"
19,1,21,23,0.032784,"\text{Not used}","int((a + b*x^2)^2/x,x)","a^2\,\ln\left(x\right)+\frac{b^2\,x^4}{4}+a\,b\,x^2","Not used",1,"a^2*log(x) + (b^2*x^4)/4 + a*b*x^2","B"
20,1,22,24,0.031900,"\text{Not used}","int((a + b*x^2)^2/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"
21,1,23,27,4.937362,"\text{Not used}","int((a + b*x^2)^2/x^3,x)","\frac{b^2\,x^2}{2}-\frac{a^2}{2\,x^2}+2\,a\,b\,\ln\left(x\right)","Not used",1,"(b^2*x^2)/2 - a^2/(2*x^2) + 2*a*b*log(x)","B"
22,1,24,23,0.025943,"\text{Not used}","int((a + b*x^2)^2/x^4,x)","b^2\,x-\frac{\frac{a^2}{3}+2\,b\,a\,x^2}{x^3}","Not used",1,"b^2*x - (a^2/3 + 2*a*b*x^2)/x^3","B"
23,1,24,24,0.042862,"\text{Not used}","int((a + b*x^2)^2/x^5,x)","b^2\,\ln\left(x\right)-\frac{\frac{a^2}{4}+b\,a\,x^2}{x^4}","Not used",1,"b^2*log(x) - (a^2/4 + a*b*x^2)/x^4","B"
24,1,25,28,0.034151,"\text{Not used}","int((a + b*x^2)^2/x^6,x)","-\frac{\frac{a^2}{5}+\frac{2\,a\,b\,x^2}{3}+b^2\,x^4}{x^5}","Not used",1,"-(a^2/5 + b^2*x^4 + (2*a*b*x^2)/3)/x^5","B"
25,1,26,19,0.034489,"\text{Not used}","int((a + b*x^2)^2/x^7,x)","-\frac{\frac{a^2}{6}+\frac{a\,b\,x^2}{2}+\frac{b^2\,x^4}{2}}{x^6}","Not used",1,"-(a^2/6 + (b^2*x^4)/2 + (a*b*x^2)/2)/x^6","B"
26,1,26,30,0.036095,"\text{Not used}","int((a + b*x^2)^2/x^8,x)","-\frac{\frac{a^2}{7}+\frac{2\,a\,b\,x^2}{5}+\frac{b^2\,x^4}{3}}{x^7}","Not used",1,"-(a^2/7 + (b^2*x^4)/3 + (2*a*b*x^2)/5)/x^7","B"
27,1,26,30,0.035017,"\text{Not used}","int((a + b*x^2)^2/x^9,x)","-\frac{\frac{a^2}{8}+\frac{a\,b\,x^2}{3}+\frac{b^2\,x^4}{4}}{x^8}","Not used",1,"-(a^2/8 + (b^2*x^4)/4 + (a*b*x^2)/3)/x^8","B"
28,1,26,30,0.034812,"\text{Not used}","int((a + b*x^2)^2/x^10,x)","-\frac{\frac{a^2}{9}+\frac{2\,a\,b\,x^2}{7}+\frac{b^2\,x^4}{5}}{x^9}","Not used",1,"-(a^2/9 + (b^2*x^4)/5 + (2*a*b*x^2)/7)/x^9","B"
29,1,35,43,0.042115,"\text{Not used}","int(x^9*(a + b*x^2)^3,x)","\frac{a^3\,x^{10}}{10}+\frac{a^2\,b\,x^{12}}{4}+\frac{3\,a\,b^2\,x^{14}}{14}+\frac{b^3\,x^{16}}{16}","Not used",1,"(a^3*x^10)/10 + (b^3*x^16)/16 + (a^2*b*x^12)/4 + (3*a*b^2*x^14)/14","B"
30,1,35,43,0.040165,"\text{Not used}","int(x^7*(a + b*x^2)^3,x)","\frac{a^3\,x^8}{8}+\frac{3\,a^2\,b\,x^{10}}{10}+\frac{a\,b^2\,x^{12}}{4}+\frac{b^3\,x^{14}}{14}","Not used",1,"(a^3*x^8)/8 + (b^3*x^14)/14 + (3*a^2*b*x^10)/10 + (a*b^2*x^12)/4","B"
31,1,35,43,0.044040,"\text{Not used}","int(x^5*(a + b*x^2)^3,x)","\frac{a^3\,x^6}{6}+\frac{3\,a^2\,b\,x^8}{8}+\frac{3\,a\,b^2\,x^{10}}{10}+\frac{b^3\,x^{12}}{12}","Not used",1,"(a^3*x^6)/6 + (b^3*x^12)/12 + (3*a^2*b*x^8)/8 + (3*a*b^2*x^10)/10","B"
32,1,35,34,0.042831,"\text{Not used}","int(x^3*(a + b*x^2)^3,x)","\frac{a^3\,x^4}{4}+\frac{a^2\,b\,x^6}{2}+\frac{3\,a\,b^2\,x^8}{8}+\frac{b^3\,x^{10}}{10}","Not used",1,"(a^3*x^4)/4 + (b^3*x^10)/10 + (a^2*b*x^6)/2 + (3*a*b^2*x^8)/8","B"
33,1,35,16,0.057029,"\text{Not used}","int(x*(a + b*x^2)^3,x)","\frac{a^3\,x^2}{2}+\frac{3\,a^2\,b\,x^4}{4}+\frac{a\,b^2\,x^6}{2}+\frac{b^3\,x^8}{8}","Not used",1,"(a^3*x^2)/2 + (b^3*x^8)/8 + (3*a^2*b*x^4)/4 + (a*b^2*x^6)/2","B"
34,1,33,39,0.035520,"\text{Not used}","int((a + b*x^2)^3/x,x)","a^3\,\ln\left(x\right)+\frac{b^3\,x^6}{6}+\frac{3\,a^2\,b\,x^2}{2}+\frac{3\,a\,b^2\,x^4}{4}","Not used",1,"a^3*log(x) + (b^3*x^6)/6 + (3*a^2*b*x^2)/2 + (3*a*b^2*x^4)/4","B"
35,1,34,40,0.035673,"\text{Not used}","int((a + b*x^2)^3/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"
36,1,37,40,4.901654,"\text{Not used}","int((a + b*x^2)^3/x^5,x)","\frac{b^3\,x^2}{2}-\frac{\frac{a^3}{4}+\frac{3\,b\,a^2\,x^2}{2}}{x^4}+3\,a\,b^2\,\ln\left(x\right)","Not used",1,"(b^3*x^2)/2 - (a^3/4 + (3*a^2*b*x^2)/2)/x^4 + 3*a*b^2*log(x)","B"
37,1,36,39,0.045107,"\text{Not used}","int((a + b*x^2)^3/x^7,x)","b^3\,\ln\left(x\right)-\frac{\frac{a^3}{6}+\frac{3\,a^2\,b\,x^2}{4}+\frac{3\,a\,b^2\,x^4}{2}}{x^6}","Not used",1,"b^3*log(x) - (a^3/6 + (3*a^2*b*x^2)/4 + (3*a*b^2*x^4)/2)/x^6","B"
38,1,37,19,0.026632,"\text{Not used}","int((a + b*x^2)^3/x^9,x)","-\frac{\frac{a^3}{8}+\frac{a^2\,b\,x^2}{2}+\frac{3\,a\,b^2\,x^4}{4}+\frac{b^3\,x^6}{2}}{x^8}","Not used",1,"-(a^3/8 + (b^3*x^6)/2 + (a^2*b*x^2)/2 + (3*a*b^2*x^4)/4)/x^8","B"
39,1,37,40,0.057132,"\text{Not used}","int((a + b*x^2)^3/x^11,x)","-\frac{\frac{a^3}{10}+\frac{3\,a^2\,b\,x^2}{8}+\frac{a\,b^2\,x^4}{2}+\frac{b^3\,x^6}{4}}{x^{10}}","Not used",1,"-(a^3/10 + (b^3*x^6)/4 + (3*a^2*b*x^2)/8 + (a*b^2*x^4)/2)/x^10","B"
40,1,37,43,0.046602,"\text{Not used}","int((a + b*x^2)^3/x^13,x)","-\frac{\frac{a^3}{12}+\frac{3\,a^2\,b\,x^2}{10}+\frac{3\,a\,b^2\,x^4}{8}+\frac{b^3\,x^6}{6}}{x^{12}}","Not used",1,"-(a^3/12 + (b^3*x^6)/6 + (3*a^2*b*x^2)/10 + (3*a*b^2*x^4)/8)/x^12","B"
41,1,37,43,0.031198,"\text{Not used}","int((a + b*x^2)^3/x^15,x)","-\frac{\frac{a^3}{14}+\frac{a^2\,b\,x^2}{4}+\frac{3\,a\,b^2\,x^4}{10}+\frac{b^3\,x^6}{8}}{x^{14}}","Not used",1,"-(a^3/14 + (b^3*x^6)/8 + (a^2*b*x^2)/4 + (3*a*b^2*x^4)/10)/x^14","B"
42,1,35,43,0.040714,"\text{Not used}","int(x^6*(a + b*x^2)^3,x)","\frac{a^3\,x^7}{7}+\frac{a^2\,b\,x^9}{3}+\frac{3\,a\,b^2\,x^{11}}{11}+\frac{b^3\,x^{13}}{13}","Not used",1,"(a^3*x^7)/7 + (b^3*x^13)/13 + (a^2*b*x^9)/3 + (3*a*b^2*x^11)/11","B"
43,1,35,43,0.040372,"\text{Not used}","int(x^4*(a + b*x^2)^3,x)","\frac{a^3\,x^5}{5}+\frac{3\,a^2\,b\,x^7}{7}+\frac{a\,b^2\,x^9}{3}+\frac{b^3\,x^{11}}{11}","Not used",1,"(a^3*x^5)/5 + (b^3*x^11)/11 + (3*a^2*b*x^7)/7 + (a*b^2*x^9)/3","B"
44,1,35,43,0.040810,"\text{Not used}","int(x^2*(a + b*x^2)^3,x)","\frac{a^3\,x^3}{3}+\frac{3\,a^2\,b\,x^5}{5}+\frac{3\,a\,b^2\,x^7}{7}+\frac{b^3\,x^9}{9}","Not used",1,"(a^3*x^3)/3 + (b^3*x^9)/9 + (3*a^2*b*x^5)/5 + (3*a*b^2*x^7)/7","B"
45,1,31,35,0.037997,"\text{Not used}","int((a + b*x^2)^3,x)","a^3\,x+a^2\,b\,x^3+\frac{3\,a\,b^2\,x^5}{5}+\frac{b^3\,x^7}{7}","Not used",1,"a^3*x + (b^3*x^7)/7 + a^2*b*x^3 + (3*a*b^2*x^5)/5","B"
46,1,32,34,0.041358,"\text{Not used}","int((a + b*x^2)^3/x^2,x)","\frac{b^3\,x^5}{5}-\frac{a^3}{x}+a\,b^2\,x^3+3\,a^2\,b\,x","Not used",1,"(b^3*x^5)/5 - a^3/x + a*b^2*x^3 + 3*a^2*b*x","B"
47,1,36,37,4.801533,"\text{Not used}","int((a + b*x^2)^3/x^4,x)","\frac{b^3\,x^3}{3}-\frac{\frac{a^3}{3}+3\,b\,a^2\,x^2}{x^3}+3\,a\,b^2\,x","Not used",1,"(b^3*x^3)/3 - (a^3/3 + 3*a^2*b*x^2)/x^3 + 3*a*b^2*x","B"
48,1,34,34,0.029471,"\text{Not used}","int((a + b*x^2)^3/x^6,x)","b^3\,x-\frac{\frac{a^3}{5}+a^2\,b\,x^2+3\,a\,b^2\,x^4}{x^5}","Not used",1,"b^3*x - (a^3/5 + a^2*b*x^2 + 3*a*b^2*x^4)/x^5","B"
49,1,35,39,0.026516,"\text{Not used}","int((a + b*x^2)^3/x^8,x)","-\frac{\frac{a^3}{7}+\frac{3\,a^2\,b\,x^2}{5}+a\,b^2\,x^4+b^3\,x^6}{x^7}","Not used",1,"-(a^3/7 + b^3*x^6 + (3*a^2*b*x^2)/5 + a*b^2*x^4)/x^7","B"
50,1,37,43,0.032431,"\text{Not used}","int((a + b*x^2)^3/x^10,x)","-\frac{\frac{a^3}{9}+\frac{3\,a^2\,b\,x^2}{7}+\frac{3\,a\,b^2\,x^4}{5}+\frac{b^3\,x^6}{3}}{x^9}","Not used",1,"-(a^3/9 + (b^3*x^6)/3 + (3*a^2*b*x^2)/7 + (3*a*b^2*x^4)/5)/x^9","B"
51,1,37,43,0.028647,"\text{Not used}","int((a + b*x^2)^3/x^12,x)","-\frac{\frac{a^3}{11}+\frac{a^2\,b\,x^2}{3}+\frac{3\,a\,b^2\,x^4}{7}+\frac{b^3\,x^6}{5}}{x^{11}}","Not used",1,"-(a^3/11 + (b^3*x^6)/5 + (a^2*b*x^2)/3 + (3*a*b^2*x^4)/7)/x^11","B"
52,1,57,69,0.025500,"\text{Not used}","int(x^13*(a + b*x^2)^5,x)","\frac{a^5\,x^{14}}{14}+\frac{5\,a^4\,b\,x^{16}}{16}+\frac{5\,a^3\,b^2\,x^{18}}{9}+\frac{a^2\,b^3\,x^{20}}{2}+\frac{5\,a\,b^4\,x^{22}}{22}+\frac{b^5\,x^{24}}{24}","Not used",1,"(a^5*x^14)/14 + (b^5*x^24)/24 + (5*a^4*b*x^16)/16 + (5*a*b^4*x^22)/22 + (5*a^3*b^2*x^18)/9 + (a^2*b^3*x^20)/2","B"
53,1,57,69,0.023184,"\text{Not used}","int(x^11*(a + b*x^2)^5,x)","\frac{a^5\,x^{12}}{12}+\frac{5\,a^4\,b\,x^{14}}{14}+\frac{5\,a^3\,b^2\,x^{16}}{8}+\frac{5\,a^2\,b^3\,x^{18}}{9}+\frac{a\,b^4\,x^{20}}{4}+\frac{b^5\,x^{22}}{22}","Not used",1,"(a^5*x^12)/12 + (b^5*x^22)/22 + (5*a^4*b*x^14)/14 + (a*b^4*x^20)/4 + (5*a^3*b^2*x^16)/8 + (5*a^2*b^3*x^18)/9","B"
54,1,57,69,0.024328,"\text{Not used}","int(x^9*(a + b*x^2)^5,x)","\frac{a^5\,x^{10}}{10}+\frac{5\,a^4\,b\,x^{12}}{12}+\frac{5\,a^3\,b^2\,x^{14}}{7}+\frac{5\,a^2\,b^3\,x^{16}}{8}+\frac{5\,a\,b^4\,x^{18}}{18}+\frac{b^5\,x^{20}}{20}","Not used",1,"(a^5*x^10)/10 + (b^5*x^20)/20 + (5*a^4*b*x^12)/12 + (5*a*b^4*x^18)/18 + (5*a^3*b^2*x^14)/7 + (5*a^2*b^3*x^16)/8","B"
55,1,57,72,0.024405,"\text{Not used}","int(x^7*(a + b*x^2)^5,x)","\frac{a^5\,x^8}{8}+\frac{a^4\,b\,x^{10}}{2}+\frac{5\,a^3\,b^2\,x^{12}}{6}+\frac{5\,a^2\,b^3\,x^{14}}{7}+\frac{5\,a\,b^4\,x^{16}}{16}+\frac{b^5\,x^{18}}{18}","Not used",1,"(a^5*x^8)/8 + (b^5*x^18)/18 + (a^4*b*x^10)/2 + (5*a*b^4*x^16)/16 + (5*a^3*b^2*x^12)/6 + (5*a^2*b^3*x^14)/7","B"
56,1,56,53,0.023949,"\text{Not used}","int(x^5*(a + b*x^2)^5,x)","\frac{a^5\,x^6}{6}+\frac{5\,a^4\,b\,x^8}{8}+a^3\,b^2\,x^{10}+\frac{5\,a^2\,b^3\,x^{12}}{6}+\frac{5\,a\,b^4\,x^{14}}{14}+\frac{b^5\,x^{16}}{16}","Not used",1,"(a^5*x^6)/6 + (b^5*x^16)/16 + (5*a^4*b*x^8)/8 + (5*a*b^4*x^14)/14 + a^3*b^2*x^10 + (5*a^2*b^3*x^12)/6","B"
57,1,56,34,0.024708,"\text{Not used}","int(x^3*(a + b*x^2)^5,x)","\frac{a^5\,x^4}{4}+\frac{5\,a^4\,b\,x^6}{6}+\frac{5\,a^3\,b^2\,x^8}{4}+a^2\,b^3\,x^{10}+\frac{5\,a\,b^4\,x^{12}}{12}+\frac{b^5\,x^{14}}{14}","Not used",1,"(a^5*x^4)/4 + (b^5*x^14)/14 + (5*a^4*b*x^6)/6 + (5*a*b^4*x^12)/12 + (5*a^3*b^2*x^8)/4 + a^2*b^3*x^10","B"
58,1,57,16,0.023144,"\text{Not used}","int(x*(a + b*x^2)^5,x)","\frac{a^5\,x^2}{2}+\frac{5\,a^4\,b\,x^4}{4}+\frac{5\,a^3\,b^2\,x^6}{3}+\frac{5\,a^2\,b^3\,x^8}{4}+\frac{a\,b^4\,x^{10}}{2}+\frac{b^5\,x^{12}}{12}","Not used",1,"(a^5*x^2)/2 + (b^5*x^12)/12 + (5*a^4*b*x^4)/4 + (a*b^4*x^10)/2 + (5*a^3*b^2*x^6)/3 + (5*a^2*b^3*x^8)/4","B"
59,1,55,65,0.028387,"\text{Not used}","int((a + b*x^2)^5/x,x)","a^5\,\ln\left(x\right)+\frac{b^5\,x^{10}}{10}+\frac{5\,a^4\,b\,x^2}{2}+\frac{5\,a\,b^4\,x^8}{8}+\frac{5\,a^3\,b^2\,x^4}{2}+\frac{5\,a^2\,b^3\,x^6}{3}","Not used",1,"a^5*log(x) + (b^5*x^10)/10 + (5*a^4*b*x^2)/2 + (5*a*b^4*x^8)/8 + (5*a^3*b^2*x^4)/2 + (5*a^2*b^3*x^6)/3","B"
60,1,56,64,0.029779,"\text{Not used}","int((a + b*x^2)^5/x^3,x)","\frac{b^5\,x^8}{8}-\frac{a^5}{2\,x^2}+\frac{5\,a\,b^4\,x^6}{6}+5\,a^4\,b\,\ln\left(x\right)+5\,a^3\,b^2\,x^2+\frac{5\,a^2\,b^3\,x^4}{2}","Not used",1,"(b^5*x^8)/8 - a^5/(2*x^2) + (5*a*b^4*x^6)/6 + 5*a^4*b*log(x) + 5*a^3*b^2*x^2 + (5*a^2*b^3*x^4)/2","B"
61,1,59,64,0.030960,"\text{Not used}","int((a + b*x^2)^5/x^5,x)","\frac{b^5\,x^6}{6}-\frac{\frac{a^5}{4}+\frac{5\,b\,a^4\,x^2}{2}}{x^4}+\frac{5\,a\,b^4\,x^4}{4}+5\,a^2\,b^3\,x^2+10\,a^3\,b^2\,\ln\left(x\right)","Not used",1,"(b^5*x^6)/6 - (a^5/4 + (5*a^4*b*x^2)/2)/x^4 + (5*a*b^4*x^4)/4 + 5*a^2*b^3*x^2 + 10*a^3*b^2*log(x)","B"
62,1,59,64,0.039947,"\text{Not used}","int((a + b*x^2)^5/x^7,x)","\frac{b^5\,x^4}{4}-\frac{\frac{a^5}{6}+\frac{5\,a^4\,b\,x^2}{4}+5\,a^3\,b^2\,x^4}{x^6}+\frac{5\,a\,b^4\,x^2}{2}+10\,a^2\,b^3\,\ln\left(x\right)","Not used",1,"(b^5*x^4)/4 - (a^5/6 + (5*a^4*b*x^2)/4 + 5*a^3*b^2*x^4)/x^6 + (5*a*b^4*x^2)/2 + 10*a^2*b^3*log(x)","B"
63,1,59,64,0.041612,"\text{Not used}","int((a + b*x^2)^5/x^9,x)","\frac{b^5\,x^2}{2}-\frac{\frac{a^5}{8}+\frac{5\,a^4\,b\,x^2}{6}+\frac{5\,a^3\,b^2\,x^4}{2}+5\,a^2\,b^3\,x^6}{x^8}+5\,a\,b^4\,\ln\left(x\right)","Not used",1,"(b^5*x^2)/2 - (a^5/8 + (5*a^4*b*x^2)/6 + (5*a^3*b^2*x^4)/2 + 5*a^2*b^3*x^6)/x^8 + 5*a*b^4*log(x)","B"
64,1,58,65,4.771504,"\text{Not used}","int((a + b*x^2)^5/x^11,x)","b^5\,\ln\left(x\right)-\frac{\frac{a^5}{10}+\frac{5\,a^4\,b\,x^2}{8}+\frac{5\,a^3\,b^2\,x^4}{3}+\frac{5\,a^2\,b^3\,x^6}{2}+\frac{5\,a\,b^4\,x^8}{2}}{x^{10}}","Not used",1,"b^5*log(x) - (a^5/10 + (5*a^4*b*x^2)/8 + (5*a*b^4*x^8)/2 + (5*a^3*b^2*x^4)/3 + (5*a^2*b^3*x^6)/2)/x^10","B"
65,1,59,19,4.751115,"\text{Not used}","int((a + b*x^2)^5/x^13,x)","-\frac{\frac{a^5}{12}+\frac{a^4\,b\,x^2}{2}+\frac{5\,a^3\,b^2\,x^4}{4}+\frac{5\,a^2\,b^3\,x^6}{3}+\frac{5\,a\,b^4\,x^8}{4}+\frac{b^5\,x^{10}}{2}}{x^{12}}","Not used",1,"-(a^5/12 + (b^5*x^10)/2 + (a^4*b*x^2)/2 + (5*a*b^4*x^8)/4 + (5*a^3*b^2*x^4)/4 + (5*a^2*b^3*x^6)/3)/x^12","B"
66,1,58,40,4.736036,"\text{Not used}","int((a + b*x^2)^5/x^15,x)","-\frac{\frac{a^5}{14}+\frac{5\,a^4\,b\,x^2}{12}+a^3\,b^2\,x^4+\frac{5\,a^2\,b^3\,x^6}{4}+\frac{5\,a\,b^4\,x^8}{6}+\frac{b^5\,x^{10}}{4}}{x^{14}}","Not used",1,"-(a^5/14 + (b^5*x^10)/4 + (5*a^4*b*x^2)/12 + (5*a*b^4*x^8)/6 + a^3*b^2*x^4 + (5*a^2*b^3*x^6)/4)/x^14","B"
67,1,58,62,0.041384,"\text{Not used}","int((a + b*x^2)^5/x^17,x)","-\frac{\frac{a^5}{16}+\frac{5\,a^4\,b\,x^2}{14}+\frac{5\,a^3\,b^2\,x^4}{6}+a^2\,b^3\,x^6+\frac{5\,a\,b^4\,x^8}{8}+\frac{b^5\,x^{10}}{6}}{x^{16}}","Not used",1,"-(a^5/16 + (b^5*x^10)/6 + (5*a^4*b*x^2)/14 + (5*a*b^4*x^8)/8 + (5*a^3*b^2*x^4)/6 + a^2*b^3*x^6)/x^16","B"
68,1,59,69,0.039797,"\text{Not used}","int((a + b*x^2)^5/x^19,x)","-\frac{\frac{a^5}{18}+\frac{5\,a^4\,b\,x^2}{16}+\frac{5\,a^3\,b^2\,x^4}{7}+\frac{5\,a^2\,b^3\,x^6}{6}+\frac{a\,b^4\,x^8}{2}+\frac{b^5\,x^{10}}{8}}{x^{18}}","Not used",1,"-(a^5/18 + (b^5*x^10)/8 + (5*a^4*b*x^2)/16 + (a*b^4*x^8)/2 + (5*a^3*b^2*x^4)/7 + (5*a^2*b^3*x^6)/6)/x^18","B"
69,1,59,69,0.041184,"\text{Not used}","int((a + b*x^2)^5/x^21,x)","-\frac{\frac{a^5}{20}+\frac{5\,a^4\,b\,x^2}{18}+\frac{5\,a^3\,b^2\,x^4}{8}+\frac{5\,a^2\,b^3\,x^6}{7}+\frac{5\,a\,b^4\,x^8}{12}+\frac{b^5\,x^{10}}{10}}{x^{20}}","Not used",1,"-(a^5/20 + (b^5*x^10)/10 + (5*a^4*b*x^2)/18 + (5*a*b^4*x^8)/12 + (5*a^3*b^2*x^4)/8 + (5*a^2*b^3*x^6)/7)/x^20","B"
70,1,57,69,0.024164,"\text{Not used}","int(x^8*(a + b*x^2)^5,x)","\frac{a^5\,x^9}{9}+\frac{5\,a^4\,b\,x^{11}}{11}+\frac{10\,a^3\,b^2\,x^{13}}{13}+\frac{2\,a^2\,b^3\,x^{15}}{3}+\frac{5\,a\,b^4\,x^{17}}{17}+\frac{b^5\,x^{19}}{19}","Not used",1,"(a^5*x^9)/9 + (b^5*x^19)/19 + (5*a^4*b*x^11)/11 + (5*a*b^4*x^17)/17 + (10*a^3*b^2*x^13)/13 + (2*a^2*b^3*x^15)/3","B"
71,1,57,69,0.024302,"\text{Not used}","int(x^6*(a + b*x^2)^5,x)","\frac{a^5\,x^7}{7}+\frac{5\,a^4\,b\,x^9}{9}+\frac{10\,a^3\,b^2\,x^{11}}{11}+\frac{10\,a^2\,b^3\,x^{13}}{13}+\frac{a\,b^4\,x^{15}}{3}+\frac{b^5\,x^{17}}{17}","Not used",1,"(a^5*x^7)/7 + (b^5*x^17)/17 + (5*a^4*b*x^9)/9 + (a*b^4*x^15)/3 + (10*a^3*b^2*x^11)/11 + (10*a^2*b^3*x^13)/13","B"
72,1,57,69,0.024952,"\text{Not used}","int(x^4*(a + b*x^2)^5,x)","\frac{a^5\,x^5}{5}+\frac{5\,a^4\,b\,x^7}{7}+\frac{10\,a^3\,b^2\,x^9}{9}+\frac{10\,a^2\,b^3\,x^{11}}{11}+\frac{5\,a\,b^4\,x^{13}}{13}+\frac{b^5\,x^{15}}{15}","Not used",1,"(a^5*x^5)/5 + (b^5*x^15)/15 + (5*a^4*b*x^7)/7 + (5*a*b^4*x^13)/13 + (10*a^3*b^2*x^9)/9 + (10*a^2*b^3*x^11)/11","B"
73,1,56,66,0.023521,"\text{Not used}","int(x^2*(a + b*x^2)^5,x)","\frac{a^5\,x^3}{3}+a^4\,b\,x^5+\frac{10\,a^3\,b^2\,x^7}{7}+\frac{10\,a^2\,b^3\,x^9}{9}+\frac{5\,a\,b^4\,x^{11}}{11}+\frac{b^5\,x^{13}}{13}","Not used",1,"(a^5*x^3)/3 + (b^5*x^13)/13 + a^4*b*x^5 + (5*a*b^4*x^11)/11 + (10*a^3*b^2*x^7)/7 + (10*a^2*b^3*x^9)/9","B"
74,1,54,62,0.022393,"\text{Not used}","int((a + b*x^2)^5,x)","a^5\,x+\frac{5\,a^4\,b\,x^3}{3}+2\,a^3\,b^2\,x^5+\frac{10\,a^2\,b^3\,x^7}{7}+\frac{5\,a\,b^4\,x^9}{9}+\frac{b^5\,x^{11}}{11}","Not used",1,"a^5*x + (b^5*x^11)/11 + (5*a^4*b*x^3)/3 + (5*a*b^4*x^9)/9 + 2*a^3*b^2*x^5 + (10*a^2*b^3*x^7)/7","B"
75,1,55,61,0.026034,"\text{Not used}","int((a + b*x^2)^5/x^2,x)","\frac{b^5\,x^9}{9}-\frac{a^5}{x}+\frac{5\,a\,b^4\,x^7}{7}+\frac{10\,a^3\,b^2\,x^3}{3}+2\,a^2\,b^3\,x^5+5\,a^4\,b\,x","Not used",1,"(b^5*x^9)/9 - a^5/x + (5*a*b^4*x^7)/7 + (10*a^3*b^2*x^3)/3 + 2*a^2*b^3*x^5 + 5*a^4*b*x","B"
76,1,57,60,0.025232,"\text{Not used}","int((a + b*x^2)^5/x^4,x)","\frac{b^5\,x^7}{7}-\frac{\frac{a^5}{3}+5\,b\,a^4\,x^2}{x^3}+10\,a^3\,b^2\,x+a\,b^4\,x^5+\frac{10\,a^2\,b^3\,x^3}{3}","Not used",1,"(b^5*x^7)/7 - (a^5/3 + 5*a^4*b*x^2)/x^3 + 10*a^3*b^2*x + a*b^4*x^5 + (10*a^2*b^3*x^3)/3","B"
77,1,58,63,0.046674,"\text{Not used}","int((a + b*x^2)^5/x^6,x)","\frac{b^5\,x^5}{5}-\frac{\frac{a^5}{5}+\frac{5\,a^4\,b\,x^2}{3}+10\,a^3\,b^2\,x^4}{x^5}+10\,a^2\,b^3\,x+\frac{5\,a\,b^4\,x^3}{3}","Not used",1,"(b^5*x^5)/5 - (a^5/5 + (5*a^4*b*x^2)/3 + 10*a^3*b^2*x^4)/x^5 + 10*a^2*b^3*x + (5*a*b^4*x^3)/3","B"
78,1,59,61,4.789228,"\text{Not used}","int((a + b*x^2)^5/x^8,x)","-\frac{3\,a^5+21\,a^4\,b\,x^2+70\,a^3\,b^2\,x^4+210\,a^2\,b^3\,x^6-105\,a\,b^4\,x^8-7\,b^5\,x^{10}}{21\,x^7}","Not used",1,"-(3*a^5 - 7*b^5*x^10 + 21*a^4*b*x^2 - 105*a*b^4*x^8 + 70*a^3*b^2*x^4 + 210*a^2*b^3*x^6)/(21*x^7)","B"
79,1,57,60,0.038764,"\text{Not used}","int((a + b*x^2)^5/x^10,x)","b^5\,x-\frac{\frac{a^5}{9}+\frac{5\,a^4\,b\,x^2}{7}+2\,a^3\,b^2\,x^4+\frac{10\,a^2\,b^3\,x^6}{3}+5\,a\,b^4\,x^8}{x^9}","Not used",1,"b^5*x - (a^5/9 + (5*a^4*b*x^2)/7 + 5*a*b^4*x^8 + 2*a^3*b^2*x^4 + (10*a^2*b^3*x^6)/3)/x^9","B"
80,1,58,65,0.038428,"\text{Not used}","int((a + b*x^2)^5/x^12,x)","-\frac{\frac{a^5}{11}+\frac{5\,a^4\,b\,x^2}{9}+\frac{10\,a^3\,b^2\,x^4}{7}+2\,a^2\,b^3\,x^6+\frac{5\,a\,b^4\,x^8}{3}+b^5\,x^{10}}{x^{11}}","Not used",1,"-(a^5/11 + b^5*x^10 + (5*a^4*b*x^2)/9 + (5*a*b^4*x^8)/3 + (10*a^3*b^2*x^4)/7 + 2*a^2*b^3*x^6)/x^11","B"
81,1,58,67,0.038113,"\text{Not used}","int((a + b*x^2)^5/x^14,x)","-\frac{\frac{a^5}{13}+\frac{5\,a^4\,b\,x^2}{11}+\frac{10\,a^3\,b^2\,x^4}{9}+\frac{10\,a^2\,b^3\,x^6}{7}+a\,b^4\,x^8+\frac{b^5\,x^{10}}{3}}{x^{13}}","Not used",1,"-(a^5/13 + (b^5*x^10)/3 + (5*a^4*b*x^2)/11 + a*b^4*x^8 + (10*a^3*b^2*x^4)/9 + (10*a^2*b^3*x^6)/7)/x^13","B"
82,1,59,69,4.747126,"\text{Not used}","int((a + b*x^2)^5/x^16,x)","-\frac{\frac{a^5}{15}+\frac{5\,a^4\,b\,x^2}{13}+\frac{10\,a^3\,b^2\,x^4}{11}+\frac{10\,a^2\,b^3\,x^6}{9}+\frac{5\,a\,b^4\,x^8}{7}+\frac{b^5\,x^{10}}{5}}{x^{15}}","Not used",1,"-(a^5/15 + (b^5*x^10)/5 + (5*a^4*b*x^2)/13 + (5*a*b^4*x^8)/7 + (10*a^3*b^2*x^4)/11 + (10*a^2*b^3*x^6)/9)/x^15","B"
83,1,59,69,0.039759,"\text{Not used}","int((a + b*x^2)^5/x^18,x)","-\frac{\frac{a^5}{17}+\frac{a^4\,b\,x^2}{3}+\frac{10\,a^3\,b^2\,x^4}{13}+\frac{10\,a^2\,b^3\,x^6}{11}+\frac{5\,a\,b^4\,x^8}{9}+\frac{b^5\,x^{10}}{7}}{x^{17}}","Not used",1,"-(a^5/17 + (b^5*x^10)/7 + (a^4*b*x^2)/3 + (5*a*b^4*x^8)/9 + (10*a^3*b^2*x^4)/13 + (10*a^2*b^3*x^6)/11)/x^17","B"
84,1,59,69,0.039610,"\text{Not used}","int((a + b*x^2)^5/x^20,x)","-\frac{\frac{a^5}{19}+\frac{5\,a^4\,b\,x^2}{17}+\frac{2\,a^3\,b^2\,x^4}{3}+\frac{10\,a^2\,b^3\,x^6}{13}+\frac{5\,a\,b^4\,x^8}{11}+\frac{b^5\,x^{10}}{9}}{x^{19}}","Not used",1,"-(a^5/19 + (b^5*x^10)/9 + (5*a^4*b*x^2)/17 + (5*a*b^4*x^8)/11 + (2*a^3*b^2*x^4)/3 + (10*a^2*b^3*x^6)/13)/x^19","B"
85,1,90,129,0.103313,"\text{Not used}","int(x^13*(a + b*x^2)^8,x)","\frac{a^8\,x^{14}}{14}+\frac{a^7\,b\,x^{16}}{2}+\frac{14\,a^6\,b^2\,x^{18}}{9}+\frac{14\,a^5\,b^3\,x^{20}}{5}+\frac{35\,a^4\,b^4\,x^{22}}{11}+\frac{7\,a^3\,b^5\,x^{24}}{3}+\frac{14\,a^2\,b^6\,x^{26}}{13}+\frac{2\,a\,b^7\,x^{28}}{7}+\frac{b^8\,x^{30}}{30}","Not used",1,"(a^8*x^14)/14 + (b^8*x^30)/30 + (a^7*b*x^16)/2 + (2*a*b^7*x^28)/7 + (14*a^6*b^2*x^18)/9 + (14*a^5*b^3*x^20)/5 + (35*a^4*b^4*x^22)/11 + (7*a^3*b^5*x^24)/3 + (14*a^2*b^6*x^26)/13","B"
86,1,90,110,4.566027,"\text{Not used}","int(x^11*(a + b*x^2)^8,x)","\frac{a^8\,x^{12}}{12}+\frac{4\,a^7\,b\,x^{14}}{7}+\frac{7\,a^6\,b^2\,x^{16}}{4}+\frac{28\,a^5\,b^3\,x^{18}}{9}+\frac{7\,a^4\,b^4\,x^{20}}{2}+\frac{28\,a^3\,b^5\,x^{22}}{11}+\frac{7\,a^2\,b^6\,x^{24}}{6}+\frac{4\,a\,b^7\,x^{26}}{13}+\frac{b^8\,x^{28}}{28}","Not used",1,"(a^8*x^12)/12 + (b^8*x^28)/28 + (4*a^7*b*x^14)/7 + (4*a*b^7*x^26)/13 + (7*a^6*b^2*x^16)/4 + (28*a^5*b^3*x^18)/9 + (7*a^4*b^4*x^20)/2 + (28*a^3*b^5*x^22)/11 + (7*a^2*b^6*x^24)/6","B"
87,1,90,91,4.593091,"\text{Not used}","int(x^9*(a + b*x^2)^8,x)","\frac{a^8\,x^{10}}{10}+\frac{2\,a^7\,b\,x^{12}}{3}+2\,a^6\,b^2\,x^{14}+\frac{7\,a^5\,b^3\,x^{16}}{2}+\frac{35\,a^4\,b^4\,x^{18}}{9}+\frac{14\,a^3\,b^5\,x^{20}}{5}+\frac{14\,a^2\,b^6\,x^{22}}{11}+\frac{a\,b^7\,x^{24}}{3}+\frac{b^8\,x^{26}}{26}","Not used",1,"(a^8*x^10)/10 + (b^8*x^26)/26 + (2*a^7*b*x^12)/3 + (a*b^7*x^24)/3 + 2*a^6*b^2*x^14 + (7*a^5*b^3*x^16)/2 + (35*a^4*b^4*x^18)/9 + (14*a^3*b^5*x^20)/5 + (14*a^2*b^6*x^22)/11","B"
88,1,90,72,0.090406,"\text{Not used}","int(x^7*(a + b*x^2)^8,x)","\frac{a^8\,x^8}{8}+\frac{4\,a^7\,b\,x^{10}}{5}+\frac{7\,a^6\,b^2\,x^{12}}{3}+4\,a^5\,b^3\,x^{14}+\frac{35\,a^4\,b^4\,x^{16}}{8}+\frac{28\,a^3\,b^5\,x^{18}}{9}+\frac{7\,a^2\,b^6\,x^{20}}{5}+\frac{4\,a\,b^7\,x^{22}}{11}+\frac{b^8\,x^{24}}{24}","Not used",1,"(a^8*x^8)/8 + (b^8*x^24)/24 + (4*a^7*b*x^10)/5 + (4*a*b^7*x^22)/11 + (7*a^6*b^2*x^12)/3 + 4*a^5*b^3*x^14 + (35*a^4*b^4*x^16)/8 + (28*a^3*b^5*x^18)/9 + (7*a^2*b^6*x^20)/5","B"
89,1,89,53,0.092316,"\text{Not used}","int(x^5*(a + b*x^2)^8,x)","\frac{a^8\,x^6}{6}+a^7\,b\,x^8+\frac{14\,a^6\,b^2\,x^{10}}{5}+\frac{14\,a^5\,b^3\,x^{12}}{3}+5\,a^4\,b^4\,x^{14}+\frac{7\,a^3\,b^5\,x^{16}}{2}+\frac{14\,a^2\,b^6\,x^{18}}{9}+\frac{2\,a\,b^7\,x^{20}}{5}+\frac{b^8\,x^{22}}{22}","Not used",1,"(a^8*x^6)/6 + (b^8*x^22)/22 + a^7*b*x^8 + (2*a*b^7*x^20)/5 + (14*a^6*b^2*x^10)/5 + (14*a^5*b^3*x^12)/3 + 5*a^4*b^4*x^14 + (7*a^3*b^5*x^16)/2 + (14*a^2*b^6*x^18)/9","B"
90,1,90,34,0.092449,"\text{Not used}","int(x^3*(a + b*x^2)^8,x)","\frac{a^8\,x^4}{4}+\frac{4\,a^7\,b\,x^6}{3}+\frac{7\,a^6\,b^2\,x^8}{2}+\frac{28\,a^5\,b^3\,x^{10}}{5}+\frac{35\,a^4\,b^4\,x^{12}}{6}+4\,a^3\,b^5\,x^{14}+\frac{7\,a^2\,b^6\,x^{16}}{4}+\frac{4\,a\,b^7\,x^{18}}{9}+\frac{b^8\,x^{20}}{20}","Not used",1,"(a^8*x^4)/4 + (b^8*x^20)/20 + (4*a^7*b*x^6)/3 + (4*a*b^7*x^18)/9 + (7*a^6*b^2*x^8)/2 + (28*a^5*b^3*x^10)/5 + (35*a^4*b^4*x^12)/6 + 4*a^3*b^5*x^14 + (7*a^2*b^6*x^16)/4","B"
91,1,14,16,4.611593,"\text{Not used}","int(x*(a + b*x^2)^8,x)","\frac{{\left(b\,x^2+a\right)}^9}{18\,b}","Not used",1,"(a + b*x^2)^9/(18*b)","B"
92,1,88,100,4.617948,"\text{Not used}","int((a + b*x^2)^8/x,x)","a^8\,\ln\left(x\right)+\frac{b^8\,x^{16}}{16}+4\,a^7\,b\,x^2+\frac{4\,a\,b^7\,x^{14}}{7}+7\,a^6\,b^2\,x^4+\frac{28\,a^5\,b^3\,x^6}{3}+\frac{35\,a^4\,b^4\,x^8}{4}+\frac{28\,a^3\,b^5\,x^{10}}{5}+\frac{7\,a^2\,b^6\,x^{12}}{3}","Not used",1,"a^8*log(x) + (b^8*x^16)/16 + 4*a^7*b*x^2 + (4*a*b^7*x^14)/7 + 7*a^6*b^2*x^4 + (28*a^5*b^3*x^6)/3 + (35*a^4*b^4*x^8)/4 + (28*a^3*b^5*x^10)/5 + (7*a^2*b^6*x^12)/3","B"
93,1,89,99,0.058984,"\text{Not used}","int((a + b*x^2)^8/x^3,x)","\frac{b^8\,x^{14}}{14}-\frac{a^8}{2\,x^2}+\frac{2\,a\,b^7\,x^{12}}{3}+8\,a^7\,b\,\ln\left(x\right)+14\,a^6\,b^2\,x^2+14\,a^5\,b^3\,x^4+\frac{35\,a^4\,b^4\,x^6}{3}+7\,a^3\,b^5\,x^8+\frac{14\,a^2\,b^6\,x^{10}}{5}","Not used",1,"(b^8*x^14)/14 - a^8/(2*x^2) + (2*a*b^7*x^12)/3 + 8*a^7*b*log(x) + 14*a^6*b^2*x^2 + 14*a^5*b^3*x^4 + (35*a^4*b^4*x^6)/3 + 7*a^3*b^5*x^8 + (14*a^2*b^6*x^10)/5","B"
94,1,92,101,0.055187,"\text{Not used}","int((a + b*x^2)^8/x^5,x)","\frac{b^8\,x^{12}}{12}-\frac{\frac{a^8}{4}+4\,b\,a^7\,x^2}{x^4}+\frac{4\,a\,b^7\,x^{10}}{5}+28\,a^5\,b^3\,x^2+\frac{35\,a^4\,b^4\,x^4}{2}+\frac{28\,a^3\,b^5\,x^6}{3}+\frac{7\,a^2\,b^6\,x^8}{2}+28\,a^6\,b^2\,\ln\left(x\right)","Not used",1,"(b^8*x^12)/12 - (a^8/4 + 4*a^7*b*x^2)/x^4 + (4*a*b^7*x^10)/5 + 28*a^5*b^3*x^2 + (35*a^4*b^4*x^4)/2 + (28*a^3*b^5*x^6)/3 + (7*a^2*b^6*x^8)/2 + 28*a^6*b^2*log(x)","B"
95,1,91,94,0.052666,"\text{Not used}","int((a + b*x^2)^8/x^7,x)","\frac{b^8\,x^{10}}{10}-\frac{\frac{a^8}{6}+2\,a^7\,b\,x^2+14\,a^6\,b^2\,x^4}{x^6}+a\,b^7\,x^8+35\,a^4\,b^4\,x^2+14\,a^3\,b^5\,x^4+\frac{14\,a^2\,b^6\,x^6}{3}+56\,a^5\,b^3\,\ln\left(x\right)","Not used",1,"(b^8*x^10)/10 - (a^8/6 + 2*a^7*b*x^2 + 14*a^6*b^2*x^4)/x^6 + a*b^7*x^8 + 35*a^4*b^4*x^2 + 14*a^3*b^5*x^4 + (14*a^2*b^6*x^6)/3 + 56*a^5*b^3*log(x)","B"
96,1,92,97,0.051765,"\text{Not used}","int((a + b*x^2)^8/x^9,x)","\frac{b^8\,x^8}{8}-\frac{\frac{a^8}{8}+\frac{4\,a^7\,b\,x^2}{3}+7\,a^6\,b^2\,x^4+28\,a^5\,b^3\,x^6}{x^8}+\frac{4\,a\,b^7\,x^6}{3}+28\,a^3\,b^5\,x^2+7\,a^2\,b^6\,x^4+70\,a^4\,b^4\,\ln\left(x\right)","Not used",1,"(b^8*x^8)/8 - (a^8/8 + (4*a^7*b*x^2)/3 + 7*a^6*b^2*x^4 + 28*a^5*b^3*x^6)/x^8 + (4*a*b^7*x^6)/3 + 28*a^3*b^5*x^2 + 7*a^2*b^6*x^4 + 70*a^4*b^4*log(x)","B"
97,1,91,95,5.109773,"\text{Not used}","int((a + b*x^2)^8/x^11,x)","\frac{b^8\,x^6}{6}-\frac{\frac{a^8}{10}+a^7\,b\,x^2+\frac{14\,a^6\,b^2\,x^4}{3}+14\,a^5\,b^3\,x^6+35\,a^4\,b^4\,x^8}{x^{10}}+2\,a\,b^7\,x^4+14\,a^2\,b^6\,x^2+56\,a^3\,b^5\,\ln\left(x\right)","Not used",1,"(b^8*x^6)/6 - (a^8/10 + a^7*b*x^2 + (14*a^6*b^2*x^4)/3 + 14*a^5*b^3*x^6 + 35*a^4*b^4*x^8)/x^10 + 2*a*b^7*x^4 + 14*a^2*b^6*x^2 + 56*a^3*b^5*log(x)","B"
98,1,92,101,0.061428,"\text{Not used}","int((a + b*x^2)^8/x^13,x)","\frac{b^8\,x^4}{4}-\frac{\frac{a^8}{12}+\frac{4\,a^7\,b\,x^2}{5}+\frac{7\,a^6\,b^2\,x^4}{2}+\frac{28\,a^5\,b^3\,x^6}{3}+\frac{35\,a^4\,b^4\,x^8}{2}+28\,a^3\,b^5\,x^{10}}{x^{12}}+4\,a\,b^7\,x^2+28\,a^2\,b^6\,\ln\left(x\right)","Not used",1,"(b^8*x^4)/4 - (a^8/12 + (4*a^7*b*x^2)/5 + (7*a^6*b^2*x^4)/2 + (28*a^5*b^3*x^6)/3 + (35*a^4*b^4*x^8)/2 + 28*a^3*b^5*x^10)/x^12 + 4*a*b^7*x^2 + 28*a^2*b^6*log(x)","B"
99,1,94,99,5.147510,"\text{Not used}","int((a + b*x^2)^8/x^15,x)","-\frac{\frac{a^8}{14}-\frac{b^8\,x^{16}}{2}+\frac{2\,a^7\,b\,x^2}{3}+\frac{14\,a^6\,b^2\,x^4}{5}+7\,a^5\,b^3\,x^6+\frac{35\,a^4\,b^4\,x^8}{3}+14\,a^3\,b^5\,x^{10}+14\,a^2\,b^6\,x^{12}-8\,a\,b^7\,x^{14}\,\ln\left(x\right)}{x^{14}}","Not used",1,"-(a^8/14 - (b^8*x^16)/2 + (2*a^7*b*x^2)/3 + (14*a^6*b^2*x^4)/5 + 7*a^5*b^3*x^6 + (35*a^4*b^4*x^8)/3 + 14*a^3*b^5*x^10 + 14*a^2*b^6*x^12 - 8*a*b^7*x^14*log(x))/x^14","B"
100,1,91,100,5.088704,"\text{Not used}","int((a + b*x^2)^8/x^17,x)","b^8\,\ln\left(x\right)-\frac{\frac{a^8}{16}+\frac{4\,a^7\,b\,x^2}{7}+\frac{7\,a^6\,b^2\,x^4}{3}+\frac{28\,a^5\,b^3\,x^6}{5}+\frac{35\,a^4\,b^4\,x^8}{4}+\frac{28\,a^3\,b^5\,x^{10}}{3}+7\,a^2\,b^6\,x^{12}+4\,a\,b^7\,x^{14}}{x^{16}}","Not used",1,"b^8*log(x) - (a^8/16 + (4*a^7*b*x^2)/7 + 4*a*b^7*x^14 + (7*a^6*b^2*x^4)/3 + (28*a^5*b^3*x^6)/5 + (35*a^4*b^4*x^8)/4 + (28*a^3*b^5*x^10)/3 + 7*a^2*b^6*x^12)/x^16","B"
101,1,92,19,0.076298,"\text{Not used}","int((a + b*x^2)^8/x^19,x)","-\frac{\frac{a^8}{18}+\frac{a^7\,b\,x^2}{2}+2\,a^6\,b^2\,x^4+\frac{14\,a^5\,b^3\,x^6}{3}+7\,a^4\,b^4\,x^8+7\,a^3\,b^5\,x^{10}+\frac{14\,a^2\,b^6\,x^{12}}{3}+2\,a\,b^7\,x^{14}+\frac{b^8\,x^{16}}{2}}{x^{18}}","Not used",1,"-(a^8/18 + (b^8*x^16)/2 + (a^7*b*x^2)/2 + 2*a*b^7*x^14 + 2*a^6*b^2*x^4 + (14*a^5*b^3*x^6)/3 + 7*a^4*b^4*x^8 + 7*a^3*b^5*x^10 + (14*a^2*b^6*x^12)/3)/x^18","B"
102,1,92,40,0.076519,"\text{Not used}","int((a + b*x^2)^8/x^21,x)","-\frac{\frac{a^8}{20}+\frac{4\,a^7\,b\,x^2}{9}+\frac{7\,a^6\,b^2\,x^4}{4}+4\,a^5\,b^3\,x^6+\frac{35\,a^4\,b^4\,x^8}{6}+\frac{28\,a^3\,b^5\,x^{10}}{5}+\frac{7\,a^2\,b^6\,x^{12}}{2}+\frac{4\,a\,b^7\,x^{14}}{3}+\frac{b^8\,x^{16}}{4}}{x^{20}}","Not used",1,"-(a^8/20 + (b^8*x^16)/4 + (4*a^7*b*x^2)/9 + (4*a*b^7*x^14)/3 + (7*a^6*b^2*x^4)/4 + 4*a^5*b^3*x^6 + (35*a^4*b^4*x^8)/6 + (28*a^3*b^5*x^10)/5 + (7*a^2*b^6*x^12)/2)/x^20","B"
103,1,91,62,0.079045,"\text{Not used}","int((a + b*x^2)^8/x^23,x)","-\frac{\frac{a^8}{22}+\frac{2\,a^7\,b\,x^2}{5}+\frac{14\,a^6\,b^2\,x^4}{9}+\frac{7\,a^5\,b^3\,x^6}{2}+5\,a^4\,b^4\,x^8+\frac{14\,a^3\,b^5\,x^{10}}{3}+\frac{14\,a^2\,b^6\,x^{12}}{5}+a\,b^7\,x^{14}+\frac{b^8\,x^{16}}{6}}{x^{22}}","Not used",1,"-(a^8/22 + (b^8*x^16)/6 + (2*a^7*b*x^2)/5 + a*b^7*x^14 + (14*a^6*b^2*x^4)/9 + (7*a^5*b^3*x^6)/2 + 5*a^4*b^4*x^8 + (14*a^3*b^5*x^10)/3 + (14*a^2*b^6*x^12)/5)/x^22","B"
104,1,92,84,4.967341,"\text{Not used}","int((a + b*x^2)^8/x^25,x)","-\frac{\frac{a^8}{24}+\frac{4\,a^7\,b\,x^2}{11}+\frac{7\,a^6\,b^2\,x^4}{5}+\frac{28\,a^5\,b^3\,x^6}{9}+\frac{35\,a^4\,b^4\,x^8}{8}+4\,a^3\,b^5\,x^{10}+\frac{7\,a^2\,b^6\,x^{12}}{3}+\frac{4\,a\,b^7\,x^{14}}{5}+\frac{b^8\,x^{16}}{8}}{x^{24}}","Not used",1,"-(a^8/24 + (b^8*x^16)/8 + (4*a^7*b*x^2)/11 + (4*a*b^7*x^14)/5 + (7*a^6*b^2*x^4)/5 + (28*a^5*b^3*x^6)/9 + (35*a^4*b^4*x^8)/8 + 4*a^3*b^5*x^10 + (7*a^2*b^6*x^12)/3)/x^24","B"
105,1,92,106,0.079749,"\text{Not used}","int((a + b*x^2)^8/x^27,x)","-\frac{\frac{a^8}{26}+\frac{a^7\,b\,x^2}{3}+\frac{14\,a^6\,b^2\,x^4}{11}+\frac{14\,a^5\,b^3\,x^6}{5}+\frac{35\,a^4\,b^4\,x^8}{9}+\frac{7\,a^3\,b^5\,x^{10}}{2}+2\,a^2\,b^6\,x^{12}+\frac{2\,a\,b^7\,x^{14}}{3}+\frac{b^8\,x^{16}}{10}}{x^{26}}","Not used",1,"-(a^8/26 + (b^8*x^16)/10 + (a^7*b*x^2)/3 + (2*a*b^7*x^14)/3 + (14*a^6*b^2*x^4)/11 + (14*a^5*b^3*x^6)/5 + (35*a^4*b^4*x^8)/9 + (7*a^3*b^5*x^10)/2 + 2*a^2*b^6*x^12)/x^26","B"
106,1,92,108,4.893442,"\text{Not used}","int((a + b*x^2)^8/x^29,x)","-\frac{\frac{a^8}{28}+\frac{4\,a^7\,b\,x^2}{13}+\frac{7\,a^6\,b^2\,x^4}{6}+\frac{28\,a^5\,b^3\,x^6}{11}+\frac{7\,a^4\,b^4\,x^8}{2}+\frac{28\,a^3\,b^5\,x^{10}}{9}+\frac{7\,a^2\,b^6\,x^{12}}{4}+\frac{4\,a\,b^7\,x^{14}}{7}+\frac{b^8\,x^{16}}{12}}{x^{28}}","Not used",1,"-(a^8/28 + (b^8*x^16)/12 + (4*a^7*b*x^2)/13 + (4*a*b^7*x^14)/7 + (7*a^6*b^2*x^4)/6 + (28*a^5*b^3*x^6)/11 + (7*a^4*b^4*x^8)/2 + (28*a^3*b^5*x^10)/9 + (7*a^2*b^6*x^12)/4)/x^28","B"
107,1,92,108,4.862088,"\text{Not used}","int((a + b*x^2)^8/x^31,x)","-\frac{\frac{a^8}{30}+\frac{2\,a^7\,b\,x^2}{7}+\frac{14\,a^6\,b^2\,x^4}{13}+\frac{7\,a^5\,b^3\,x^6}{3}+\frac{35\,a^4\,b^4\,x^8}{11}+\frac{14\,a^3\,b^5\,x^{10}}{5}+\frac{14\,a^2\,b^6\,x^{12}}{9}+\frac{a\,b^7\,x^{14}}{2}+\frac{b^8\,x^{16}}{14}}{x^{30}}","Not used",1,"-(a^8/30 + (b^8*x^16)/14 + (2*a^7*b*x^2)/7 + (a*b^7*x^14)/2 + (14*a^6*b^2*x^4)/13 + (7*a^5*b^3*x^6)/3 + (35*a^4*b^4*x^8)/11 + (14*a^3*b^5*x^10)/5 + (14*a^2*b^6*x^12)/9)/x^30","B"
108,1,91,106,0.083723,"\text{Not used}","int((a + b*x^2)^8/x^33,x)","-\frac{\frac{a^8}{32}+\frac{4\,a^7\,b\,x^2}{15}+a^6\,b^2\,x^4+\frac{28\,a^5\,b^3\,x^6}{13}+\frac{35\,a^4\,b^4\,x^8}{12}+\frac{28\,a^3\,b^5\,x^{10}}{11}+\frac{7\,a^2\,b^6\,x^{12}}{5}+\frac{4\,a\,b^7\,x^{14}}{9}+\frac{b^8\,x^{16}}{16}}{x^{32}}","Not used",1,"-(a^8/32 + (b^8*x^16)/16 + (4*a^7*b*x^2)/15 + (4*a*b^7*x^14)/9 + a^6*b^2*x^4 + (28*a^5*b^3*x^6)/13 + (35*a^4*b^4*x^8)/12 + (28*a^3*b^5*x^10)/11 + (7*a^2*b^6*x^12)/5)/x^32","B"
109,1,90,108,4.944547,"\text{Not used}","int(x^8*(a + b*x^2)^8,x)","\frac{a^8\,x^9}{9}+\frac{8\,a^7\,b\,x^{11}}{11}+\frac{28\,a^6\,b^2\,x^{13}}{13}+\frac{56\,a^5\,b^3\,x^{15}}{15}+\frac{70\,a^4\,b^4\,x^{17}}{17}+\frac{56\,a^3\,b^5\,x^{19}}{19}+\frac{4\,a^2\,b^6\,x^{21}}{3}+\frac{8\,a\,b^7\,x^{23}}{23}+\frac{b^8\,x^{25}}{25}","Not used",1,"(a^8*x^9)/9 + (b^8*x^25)/25 + (8*a^7*b*x^11)/11 + (8*a*b^7*x^23)/23 + (28*a^6*b^2*x^13)/13 + (56*a^5*b^3*x^15)/15 + (70*a^4*b^4*x^17)/17 + (56*a^3*b^5*x^19)/19 + (4*a^2*b^6*x^21)/3","B"
110,1,90,108,0.097394,"\text{Not used}","int(x^6*(a + b*x^2)^8,x)","\frac{a^8\,x^7}{7}+\frac{8\,a^7\,b\,x^9}{9}+\frac{28\,a^6\,b^2\,x^{11}}{11}+\frac{56\,a^5\,b^3\,x^{13}}{13}+\frac{14\,a^4\,b^4\,x^{15}}{3}+\frac{56\,a^3\,b^5\,x^{17}}{17}+\frac{28\,a^2\,b^6\,x^{19}}{19}+\frac{8\,a\,b^7\,x^{21}}{21}+\frac{b^8\,x^{23}}{23}","Not used",1,"(a^8*x^7)/7 + (b^8*x^23)/23 + (8*a^7*b*x^9)/9 + (8*a*b^7*x^21)/21 + (28*a^6*b^2*x^11)/11 + (56*a^5*b^3*x^13)/13 + (14*a^4*b^4*x^15)/3 + (56*a^3*b^5*x^17)/17 + (28*a^2*b^6*x^19)/19","B"
111,1,90,108,0.095981,"\text{Not used}","int(x^4*(a + b*x^2)^8,x)","\frac{a^8\,x^5}{5}+\frac{8\,a^7\,b\,x^7}{7}+\frac{28\,a^6\,b^2\,x^9}{9}+\frac{56\,a^5\,b^3\,x^{11}}{11}+\frac{70\,a^4\,b^4\,x^{13}}{13}+\frac{56\,a^3\,b^5\,x^{15}}{15}+\frac{28\,a^2\,b^6\,x^{17}}{17}+\frac{8\,a\,b^7\,x^{19}}{19}+\frac{b^8\,x^{21}}{21}","Not used",1,"(a^8*x^5)/5 + (b^8*x^21)/21 + (8*a^7*b*x^7)/7 + (8*a*b^7*x^19)/19 + (28*a^6*b^2*x^9)/9 + (56*a^5*b^3*x^11)/11 + (70*a^4*b^4*x^13)/13 + (56*a^3*b^5*x^15)/15 + (28*a^2*b^6*x^17)/17","B"
112,1,90,106,4.969956,"\text{Not used}","int(x^2*(a + b*x^2)^8,x)","\frac{a^8\,x^3}{3}+\frac{8\,a^7\,b\,x^5}{5}+4\,a^6\,b^2\,x^7+\frac{56\,a^5\,b^3\,x^9}{9}+\frac{70\,a^4\,b^4\,x^{11}}{11}+\frac{56\,a^3\,b^5\,x^{13}}{13}+\frac{28\,a^2\,b^6\,x^{15}}{15}+\frac{8\,a\,b^7\,x^{17}}{17}+\frac{b^8\,x^{19}}{19}","Not used",1,"(a^8*x^3)/3 + (b^8*x^19)/19 + (8*a^7*b*x^5)/5 + (8*a*b^7*x^17)/17 + 4*a^6*b^2*x^7 + (56*a^5*b^3*x^9)/9 + (70*a^4*b^4*x^11)/11 + (56*a^3*b^5*x^13)/13 + (28*a^2*b^6*x^15)/15","B"
113,1,87,101,0.052997,"\text{Not used}","int((a + b*x^2)^8,x)","a^8\,x+\frac{8\,a^7\,b\,x^3}{3}+\frac{28\,a^6\,b^2\,x^5}{5}+8\,a^5\,b^3\,x^7+\frac{70\,a^4\,b^4\,x^9}{9}+\frac{56\,a^3\,b^5\,x^{11}}{11}+\frac{28\,a^2\,b^6\,x^{13}}{13}+\frac{8\,a\,b^7\,x^{15}}{15}+\frac{b^8\,x^{17}}{17}","Not used",1,"a^8*x + (b^8*x^17)/17 + (8*a^7*b*x^3)/3 + (8*a*b^7*x^15)/15 + (28*a^6*b^2*x^5)/5 + 8*a^5*b^3*x^7 + (70*a^4*b^4*x^9)/9 + (56*a^3*b^5*x^11)/11 + (28*a^2*b^6*x^13)/13","B"
114,1,88,100,0.056880,"\text{Not used}","int((a + b*x^2)^8/x^2,x)","\frac{b^8\,x^{15}}{15}-\frac{a^8}{x}+\frac{8\,a\,b^7\,x^{13}}{13}+\frac{28\,a^6\,b^2\,x^3}{3}+\frac{56\,a^5\,b^3\,x^5}{5}+10\,a^4\,b^4\,x^7+\frac{56\,a^3\,b^5\,x^9}{9}+\frac{28\,a^2\,b^6\,x^{11}}{11}+8\,a^7\,b\,x","Not used",1,"(b^8*x^15)/15 - a^8/x + (8*a*b^7*x^13)/13 + (28*a^6*b^2*x^3)/3 + (56*a^5*b^3*x^5)/5 + 10*a^4*b^4*x^7 + (56*a^3*b^5*x^9)/9 + (28*a^2*b^6*x^11)/11 + 8*a^7*b*x","B"
115,1,91,98,0.053288,"\text{Not used}","int((a + b*x^2)^8/x^4,x)","\frac{b^8\,x^{13}}{13}-\frac{\frac{a^8}{3}+8\,b\,a^7\,x^2}{x^3}+28\,a^6\,b^2\,x+\frac{8\,a\,b^7\,x^{11}}{11}+\frac{56\,a^5\,b^3\,x^3}{3}+14\,a^4\,b^4\,x^5+8\,a^3\,b^5\,x^7+\frac{28\,a^2\,b^6\,x^9}{9}","Not used",1,"(b^8*x^13)/13 - (a^8/3 + 8*a^7*b*x^2)/x^3 + 28*a^6*b^2*x + (8*a*b^7*x^11)/11 + (56*a^5*b^3*x^3)/3 + 14*a^4*b^4*x^5 + 8*a^3*b^5*x^7 + (28*a^2*b^6*x^9)/9","B"
116,1,91,100,4.959047,"\text{Not used}","int((a + b*x^2)^8/x^6,x)","\frac{b^8\,x^{11}}{11}-\frac{\frac{a^8}{5}+\frac{8\,a^7\,b\,x^2}{3}+28\,a^6\,b^2\,x^4}{x^5}+56\,a^5\,b^3\,x+\frac{8\,a\,b^7\,x^9}{9}+\frac{70\,a^4\,b^4\,x^3}{3}+\frac{56\,a^3\,b^5\,x^5}{5}+4\,a^2\,b^6\,x^7","Not used",1,"(b^8*x^11)/11 - (a^8/5 + (8*a^7*b*x^2)/3 + 28*a^6*b^2*x^4)/x^5 + 56*a^5*b^3*x + (8*a*b^7*x^9)/9 + (70*a^4*b^4*x^3)/3 + (56*a^3*b^5*x^5)/5 + 4*a^2*b^6*x^7","B"
117,1,91,102,4.797658,"\text{Not used}","int((a + b*x^2)^8/x^8,x)","\frac{b^8\,x^9}{9}-\frac{\frac{a^8}{7}+\frac{8\,a^7\,b\,x^2}{5}+\frac{28\,a^6\,b^2\,x^4}{3}+56\,a^5\,b^3\,x^6}{x^7}+70\,a^4\,b^4\,x+\frac{8\,a\,b^7\,x^7}{7}+\frac{56\,a^3\,b^5\,x^3}{3}+\frac{28\,a^2\,b^6\,x^5}{5}","Not used",1,"(b^8*x^9)/9 - (a^8/7 + (8*a^7*b*x^2)/5 + (28*a^6*b^2*x^4)/3 + 56*a^5*b^3*x^6)/x^7 + 70*a^4*b^4*x + (8*a*b^7*x^7)/7 + (56*a^3*b^5*x^3)/3 + (28*a^2*b^6*x^5)/5","B"
118,1,91,102,0.046954,"\text{Not used}","int((a + b*x^2)^8/x^10,x)","\frac{b^8\,x^7}{7}-\frac{\frac{a^8}{9}+\frac{8\,a^7\,b\,x^2}{7}+\frac{28\,a^6\,b^2\,x^4}{5}+\frac{56\,a^5\,b^3\,x^6}{3}+70\,a^4\,b^4\,x^8}{x^9}+56\,a^3\,b^5\,x+\frac{8\,a\,b^7\,x^5}{5}+\frac{28\,a^2\,b^6\,x^3}{3}","Not used",1,"(b^8*x^7)/7 - (a^8/9 + (8*a^7*b*x^2)/7 + (28*a^6*b^2*x^4)/5 + (56*a^5*b^3*x^6)/3 + 70*a^4*b^4*x^8)/x^9 + 56*a^3*b^5*x + (8*a*b^7*x^5)/5 + (28*a^2*b^6*x^3)/3","B"
119,1,91,100,4.578091,"\text{Not used}","int((a + b*x^2)^8/x^12,x)","\frac{b^8\,x^5}{5}-\frac{\frac{a^8}{11}+\frac{8\,a^7\,b\,x^2}{9}+4\,a^6\,b^2\,x^4+\frac{56\,a^5\,b^3\,x^6}{5}+\frac{70\,a^4\,b^4\,x^8}{3}+56\,a^3\,b^5\,x^{10}}{x^{11}}+28\,a^2\,b^6\,x+\frac{8\,a\,b^7\,x^3}{3}","Not used",1,"(b^8*x^5)/5 - (a^8/11 + (8*a^7*b*x^2)/9 + 4*a^6*b^2*x^4 + (56*a^5*b^3*x^6)/5 + (70*a^4*b^4*x^8)/3 + 56*a^3*b^5*x^10)/x^11 + 28*a^2*b^6*x + (8*a*b^7*x^3)/3","B"
120,1,92,98,0.074172,"\text{Not used}","int((a + b*x^2)^8/x^14,x)","-\frac{\frac{a^8}{13}+\frac{8\,a^7\,b\,x^2}{11}+\frac{28\,a^6\,b^2\,x^4}{9}+8\,a^5\,b^3\,x^6+14\,a^4\,b^4\,x^8+\frac{56\,a^3\,b^5\,x^{10}}{3}+28\,a^2\,b^6\,x^{12}-8\,a\,b^7\,x^{14}-\frac{b^8\,x^{16}}{3}}{x^{13}}","Not used",1,"-(a^8/13 - (b^8*x^16)/3 + (8*a^7*b*x^2)/11 - 8*a*b^7*x^14 + (28*a^6*b^2*x^4)/9 + 8*a^5*b^3*x^6 + 14*a^4*b^4*x^8 + (56*a^3*b^5*x^10)/3 + 28*a^2*b^6*x^12)/x^13","B"
121,1,90,99,4.524880,"\text{Not used}","int((a + b*x^2)^8/x^16,x)","b^8\,x-\frac{\frac{a^8}{15}+\frac{8\,a^7\,b\,x^2}{13}+\frac{28\,a^6\,b^2\,x^4}{11}+\frac{56\,a^5\,b^3\,x^6}{9}+10\,a^4\,b^4\,x^8+\frac{56\,a^3\,b^5\,x^{10}}{5}+\frac{28\,a^2\,b^6\,x^{12}}{3}+8\,a\,b^7\,x^{14}}{x^{15}}","Not used",1,"b^8*x - (a^8/15 + (8*a^7*b*x^2)/13 + 8*a*b^7*x^14 + (28*a^6*b^2*x^4)/11 + (56*a^5*b^3*x^6)/9 + 10*a^4*b^4*x^8 + (56*a^3*b^5*x^10)/5 + (28*a^2*b^6*x^12)/3)/x^15","B"
122,1,91,104,0.074301,"\text{Not used}","int((a + b*x^2)^8/x^18,x)","-\frac{\frac{a^8}{17}+\frac{8\,a^7\,b\,x^2}{15}+\frac{28\,a^6\,b^2\,x^4}{13}+\frac{56\,a^5\,b^3\,x^6}{11}+\frac{70\,a^4\,b^4\,x^8}{9}+8\,a^3\,b^5\,x^{10}+\frac{28\,a^2\,b^6\,x^{12}}{5}+\frac{8\,a\,b^7\,x^{14}}{3}+b^8\,x^{16}}{x^{17}}","Not used",1,"-(a^8/17 + b^8*x^16 + (8*a^7*b*x^2)/15 + (8*a*b^7*x^14)/3 + (28*a^6*b^2*x^4)/13 + (56*a^5*b^3*x^6)/11 + (70*a^4*b^4*x^8)/9 + 8*a^3*b^5*x^10 + (28*a^2*b^6*x^12)/5)/x^17","B"
123,1,92,106,0.076411,"\text{Not used}","int((a + b*x^2)^8/x^20,x)","-\frac{\frac{a^8}{19}+\frac{8\,a^7\,b\,x^2}{17}+\frac{28\,a^6\,b^2\,x^4}{15}+\frac{56\,a^5\,b^3\,x^6}{13}+\frac{70\,a^4\,b^4\,x^8}{11}+\frac{56\,a^3\,b^5\,x^{10}}{9}+4\,a^2\,b^6\,x^{12}+\frac{8\,a\,b^7\,x^{14}}{5}+\frac{b^8\,x^{16}}{3}}{x^{19}}","Not used",1,"-(a^8/19 + (b^8*x^16)/3 + (8*a^7*b*x^2)/17 + (8*a*b^7*x^14)/5 + (28*a^6*b^2*x^4)/15 + (56*a^5*b^3*x^6)/13 + (70*a^4*b^4*x^8)/11 + (56*a^3*b^5*x^10)/9 + 4*a^2*b^6*x^12)/x^19","B"
124,1,67,79,0.063502,"\text{Not used}","int(x^11/(a + b*x^2),x)","\frac{x^{10}}{10\,b}-\frac{a\,x^8}{8\,b^2}-\frac{a^5\,\ln\left(b\,x^2+a\right)}{2\,b^6}+\frac{a^2\,x^6}{6\,b^3}-\frac{a^3\,x^4}{4\,b^4}+\frac{a^4\,x^2}{2\,b^5}","Not used",1,"x^10/(10*b) - (a*x^8)/(8*b^2) - (a^5*log(a + b*x^2))/(2*b^6) + (a^2*x^6)/(6*b^3) - (a^3*x^4)/(4*b^4) + (a^4*x^2)/(2*b^5)","B"
125,1,65,81,0.055522,"\text{Not used}","int(x^10/(a + b*x^2),x)","\frac{x^9}{9\,b}-\frac{a\,x^7}{7\,b^2}+\frac{a^4\,x}{b^5}-\frac{a^{9/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{b^{11/2}}+\frac{a^2\,x^5}{5\,b^3}-\frac{a^3\,x^3}{3\,b^4}","Not used",1,"x^9/(9*b) - (a*x^7)/(7*b^2) + (a^4*x)/b^5 - (a^(9/2)*atan((b^(1/2)*x)/a^(1/2)))/b^(11/2) + (a^2*x^5)/(5*b^3) - (a^3*x^3)/(3*b^4)","B"
126,1,56,66,0.082922,"\text{Not used}","int(x^9/(a + b*x^2),x)","\frac{x^8}{8\,b}-\frac{a\,x^6}{6\,b^2}+\frac{a^4\,\ln\left(b\,x^2+a\right)}{2\,b^5}+\frac{a^2\,x^4}{4\,b^3}-\frac{a^3\,x^2}{2\,b^4}","Not used",1,"x^8/(8*b) - (a*x^6)/(6*b^2) + (a^4*log(a + b*x^2))/(2*b^5) + (a^2*x^4)/(4*b^3) - (a^3*x^2)/(2*b^4)","B"
127,1,54,68,0.051837,"\text{Not used}","int(x^8/(a + b*x^2),x)","\frac{x^7}{7\,b}-\frac{a\,x^5}{5\,b^2}-\frac{a^3\,x}{b^4}+\frac{a^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{b^{9/2}}+\frac{a^2\,x^3}{3\,b^3}","Not used",1,"x^7/(7*b) - (a*x^5)/(5*b^2) - (a^3*x)/b^4 + (a^(7/2)*atan((b^(1/2)*x)/a^(1/2)))/b^(9/2) + (a^2*x^3)/(3*b^3)","B"
128,1,45,53,4.726679,"\text{Not used}","int(x^7/(a + b*x^2),x)","\frac{x^6}{6\,b}-\frac{a\,x^4}{4\,b^2}-\frac{a^3\,\ln\left(b\,x^2+a\right)}{2\,b^4}+\frac{a^2\,x^2}{2\,b^3}","Not used",1,"x^6/(6*b) - (a*x^4)/(4*b^2) - (a^3*log(a + b*x^2))/(2*b^4) + (a^2*x^2)/(2*b^3)","B"
129,1,43,55,0.070297,"\text{Not used}","int(x^6/(a + b*x^2),x)","\frac{x^5}{5\,b}-\frac{a\,x^3}{3\,b^2}+\frac{a^2\,x}{b^3}-\frac{a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{b^{7/2}}","Not used",1,"x^5/(5*b) - (a*x^3)/(3*b^2) + (a^2*x)/b^3 - (a^(5/2)*atan((b^(1/2)*x)/a^(1/2)))/b^(7/2)","B"
130,1,33,40,4.645597,"\text{Not used}","int(x^5/(a + b*x^2),x)","\frac{2\,a^2\,\ln\left(b\,x^2+a\right)+b^2\,x^4-2\,a\,b\,x^2}{4\,b^3}","Not used",1,"(2*a^2*log(a + b*x^2) + b^2*x^4 - 2*a*b*x^2)/(4*b^3)","B"
131,1,32,42,0.069495,"\text{Not used}","int(x^4/(a + b*x^2),x)","\frac{x^3}{3\,b}+\frac{a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{b^{5/2}}-\frac{a\,x}{b^2}","Not used",1,"x^3/(3*b) + (a^(3/2)*atan((b^(1/2)*x)/a^(1/2)))/b^(5/2) - (a*x)/b^2","B"
132,1,22,27,0.037332,"\text{Not used}","int(x^3/(a + b*x^2),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"
133,1,23,31,0.033671,"\text{Not used}","int(x^2/(a + b*x^2),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"
134,1,13,15,4.631717,"\text{Not used}","int(x/(a + b*x^2),x)","\frac{\ln\left(b\,x^2+a\right)}{2\,b}","Not used",1,"log(a + b*x^2)/(2*b)","B"
135,1,16,24,4.695141,"\text{Not used}","int(1/(a + b*x^2),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"
136,1,18,22,0.081450,"\text{Not used}","int(1/(x*(a + b*x^2)),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"
137,1,26,34,4.619886,"\text{Not used}","int(1/(x^2*(a + b*x^2)),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"
138,1,31,35,0.074274,"\text{Not used}","int(1/(x^3*(a + b*x^2)),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"
139,1,37,43,4.671596,"\text{Not used}","int(1/(x^4*(a + b*x^2)),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"
140,1,46,49,0.078353,"\text{Not used}","int(1/(x^5*(a + b*x^2)),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"
141,1,48,58,0.063423,"\text{Not used}","int(1/(x^6*(a + b*x^2)),x)","-\frac{\frac{1}{5\,a}-\frac{b\,x^2}{3\,a^2}+\frac{b^2\,x^4}{a^3}}{x^5}-\frac{b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{a^{7/2}}","Not used",1,"- (1/(5*a) - (b*x^2)/(3*a^2) + (b^2*x^4)/a^3)/x^5 - (b^(5/2)*atan((b^(1/2)*x)/a^(1/2)))/a^(7/2)","B"
142,1,58,63,4.644606,"\text{Not used}","int(1/(x^7*(a + b*x^2)),x)","\frac{b^3\,\ln\left(b\,x^2+a\right)}{2\,a^4}-\frac{\frac{1}{6\,a}-\frac{b\,x^2}{4\,a^2}+\frac{b^2\,x^4}{2\,a^3}}{x^6}-\frac{b^3\,\ln\left(x\right)}{a^4}","Not used",1,"(b^3*log(a + b*x^2))/(2*a^4) - (1/(6*a) - (b*x^2)/(4*a^2) + (b^2*x^4)/(2*a^3))/x^6 - (b^3*log(x))/a^4","B"
143,1,59,69,0.064604,"\text{Not used}","int(1/(x^8*(a + b*x^2)),x)","\frac{b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{a^{9/2}}-\frac{\frac{1}{7\,a}-\frac{b\,x^2}{5\,a^2}+\frac{b^2\,x^4}{3\,a^3}-\frac{b^3\,x^6}{a^4}}{x^7}","Not used",1,"(b^(7/2)*atan((b^(1/2)*x)/a^(1/2)))/a^(9/2) - (1/(7*a) - (b*x^2)/(5*a^2) + (b^2*x^4)/(3*a^3) - (b^3*x^6)/a^4)/x^7","B"
144,1,68,75,4.667197,"\text{Not used}","int(1/(x^9*(a + b*x^2)),x)","\frac{b^4\,\ln\left(x\right)}{a^5}-\frac{b^4\,\ln\left(b\,x^2+a\right)}{2\,a^5}-\frac{\frac{1}{8\,a}-\frac{b\,x^2}{6\,a^2}+\frac{b^2\,x^4}{4\,a^3}-\frac{b^3\,x^6}{2\,a^4}}{x^8}","Not used",1,"(b^4*log(x))/a^5 - (b^4*log(a + b*x^2))/(2*a^5) - (1/(8*a) - (b*x^2)/(6*a^2) + (b^2*x^4)/(4*a^3) - (b^3*x^6)/(2*a^4))/x^8","B"
145,1,90,94,0.085447,"\text{Not used}","int(x^13/(a + b*x^2)^2,x)","\frac{x^{10}}{10\,b^2}-\frac{a^6}{2\,b\,\left(b^7\,x^2+a\,b^6\right)}-\frac{a\,x^8}{4\,b^3}-\frac{3\,a^5\,\ln\left(b\,x^2+a\right)}{b^7}+\frac{a^2\,x^6}{2\,b^4}-\frac{a^3\,x^4}{b^5}+\frac{5\,a^4\,x^2}{2\,b^6}","Not used",1,"x^10/(10*b^2) - a^6/(2*b*(a*b^6 + b^7*x^2)) - (a*x^8)/(4*b^3) - (3*a^5*log(a + b*x^2))/b^7 + (a^2*x^6)/(2*b^4) - (a^3*x^4)/b^5 + (5*a^4*x^2)/(2*b^6)","B"
146,1,88,105,0.071183,"\text{Not used}","int(x^12/(a + b*x^2)^2,x)","\frac{x^9}{9\,b^2}-\frac{2\,a\,x^7}{7\,b^3}+\frac{5\,a^4\,x}{b^6}-\frac{11\,a^{9/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,b^{13/2}}+\frac{3\,a^2\,x^5}{5\,b^4}-\frac{4\,a^3\,x^3}{3\,b^5}+\frac{a^5\,x}{2\,\left(b^7\,x^2+a\,b^6\right)}","Not used",1,"x^9/(9*b^2) - (2*a*x^7)/(7*b^3) + (5*a^4*x)/b^6 - (11*a^(9/2)*atan((b^(1/2)*x)/a^(1/2)))/(2*b^(13/2)) + (3*a^2*x^5)/(5*b^4) - (4*a^3*x^3)/(3*b^5) + (a^5*x)/(2*(a*b^6 + b^7*x^2))","B"
147,1,79,83,4.484688,"\text{Not used}","int(x^11/(a + b*x^2)^2,x)","\frac{x^8}{8\,b^2}+\frac{a^5}{2\,b\,\left(b^6\,x^2+a\,b^5\right)}-\frac{a\,x^6}{3\,b^3}+\frac{5\,a^4\,\ln\left(b\,x^2+a\right)}{2\,b^6}+\frac{3\,a^2\,x^4}{4\,b^4}-\frac{2\,a^3\,x^2}{b^5}","Not used",1,"x^8/(8*b^2) + a^5/(2*b*(a*b^5 + b^6*x^2)) - (a*x^6)/(3*b^3) + (5*a^4*log(a + b*x^2))/(2*b^6) + (3*a^2*x^4)/(4*b^4) - (2*a^3*x^2)/b^5","B"
148,1,77,92,4.555477,"\text{Not used}","int(x^10/(a + b*x^2)^2,x)","\frac{x^7}{7\,b^2}-\frac{2\,a\,x^5}{5\,b^3}-\frac{4\,a^3\,x}{b^5}+\frac{9\,a^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,b^{11/2}}+\frac{a^2\,x^3}{b^4}-\frac{a^4\,x}{2\,\left(b^6\,x^2+a\,b^5\right)}","Not used",1,"x^7/(7*b^2) - (2*a*x^5)/(5*b^3) - (4*a^3*x)/b^5 + (9*a^(7/2)*atan((b^(1/2)*x)/a^(1/2)))/(2*b^(11/2)) + (a^2*x^3)/b^4 - (a^4*x)/(2*(a*b^5 + b^6*x^2))","B"
149,1,68,70,0.068963,"\text{Not used}","int(x^9/(a + b*x^2)^2,x)","\frac{x^6}{6\,b^2}-\frac{a^4}{2\,b\,\left(b^5\,x^2+a\,b^4\right)}-\frac{a\,x^4}{2\,b^3}-\frac{2\,a^3\,\ln\left(b\,x^2+a\right)}{b^5}+\frac{3\,a^2\,x^2}{2\,b^4}","Not used",1,"x^6/(6*b^2) - a^4/(2*b*(a*b^4 + b^5*x^2)) - (a*x^4)/(2*b^3) - (2*a^3*log(a + b*x^2))/b^5 + (3*a^2*x^2)/(2*b^4)","B"
150,1,66,79,4.585603,"\text{Not used}","int(x^8/(a + b*x^2)^2,x)","\frac{x^5}{5\,b^2}-\frac{2\,a\,x^3}{3\,b^3}+\frac{3\,a^2\,x}{b^4}-\frac{7\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,b^{9/2}}+\frac{a^3\,x}{2\,\left(b^5\,x^2+a\,b^4\right)}","Not used",1,"x^5/(5*b^2) - (2*a*x^3)/(3*b^3) + (3*a^2*x)/b^4 - (7*a^(5/2)*atan((b^(1/2)*x)/a^(1/2)))/(2*b^(9/2)) + (a^3*x)/(2*(a*b^4 + b^5*x^2))","B"
151,1,57,57,0.077460,"\text{Not used}","int(x^7/(a + b*x^2)^2,x)","\frac{x^4}{4\,b^2}+\frac{a^3}{2\,b\,\left(b^4\,x^2+a\,b^3\right)}-\frac{a\,x^2}{b^3}+\frac{3\,a^2\,\ln\left(b\,x^2+a\right)}{2\,b^4}","Not used",1,"x^4/(4*b^2) + a^3/(2*b*(a*b^3 + b^4*x^2)) - (a*x^2)/b^3 + (3*a^2*log(a + b*x^2))/(2*b^4)","B"
152,1,56,66,0.089095,"\text{Not used}","int(x^6/(a + b*x^2)^2,x)","\frac{x^3}{3\,b^2}+\frac{5\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,b^{7/2}}-\frac{a^2\,x}{2\,\left(b^4\,x^2+a\,b^3\right)}-\frac{2\,a\,x}{b^3}","Not used",1,"x^3/(3*b^2) + (5*a^(3/2)*atan((b^(1/2)*x)/a^(1/2)))/(2*b^(7/2)) - (a^2*x)/(2*(a*b^3 + b^4*x^2)) - (2*a*x)/b^3","B"
153,1,45,44,0.046132,"\text{Not used}","int(x^5/(a + b*x^2)^2,x)","\frac{x^2}{2\,b^2}-\frac{a^2}{2\,\left(b^4\,x^2+a\,b^3\right)}-\frac{a\,\ln\left(b\,x^2+a\right)}{b^3}","Not used",1,"x^2/(2*b^2) - a^2/(2*(a*b^3 + b^4*x^2)) - (a*log(a + b*x^2))/b^3","B"
154,1,43,55,4.590995,"\text{Not used}","int(x^4/(a + b*x^2)^2,x)","\frac{x}{b^2}+\frac{a\,x}{2\,\left(b^3\,x^2+a\,b^2\right)}-\frac{3\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,b^{5/2}}","Not used",1,"x/b^2 + (a*x)/(2*(a*b^2 + b^3*x^2)) - (3*a^(1/2)*atan((b^(1/2)*x)/a^(1/2)))/(2*b^(5/2))","B"
155,1,29,33,0.045649,"\text{Not used}","int(x^3/(a + b*x^2)^2,x)","\frac{\ln\left(b\,x^2+a\right)}{2\,b^2}+\frac{a}{2\,b^2\,\left(b\,x^2+a\right)}","Not used",1,"log(a + b*x^2)/(2*b^2) + a/(2*b^2*(a + b*x^2))","B"
156,1,33,45,4.756000,"\text{Not used}","int(x^2/(a + b*x^2)^2,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,\sqrt{a}\,b^{3/2}}-\frac{x}{2\,b\,\left(b\,x^2+a\right)}","Not used",1,"atan((b^(1/2)*x)/a^(1/2))/(2*a^(1/2)*b^(3/2)) - x/(2*b*(a + b*x^2))","B"
157,1,14,16,0.031397,"\text{Not used}","int(x/(a + b*x^2)^2,x)","-\frac{1}{2\,b\,\left(b\,x^2+a\right)}","Not used",1,"-1/(2*b*(a + b*x^2))","B"
158,1,33,45,4.740471,"\text{Not used}","int(1/(a + b*x^2)^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"
159,1,34,38,4.700794,"\text{Not used}","int(1/(x*(a + b*x^2)^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"
160,1,44,57,0.073028,"\text{Not used}","int(1/(x^2*(a + b*x^2)^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"
161,1,51,49,0.078050,"\text{Not used}","int(1/(x^3*(a + b*x^2)^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"
162,1,58,68,4.728779,"\text{Not used}","int(1/(x^4*(a + b*x^2)^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"
163,1,67,66,4.803975,"\text{Not used}","int(1/(x^5*(a + b*x^2)^2),x)","\frac{\frac{3\,b\,x^2}{4\,a^2}-\frac{1}{4\,a}+\frac{3\,b^2\,x^4}{2\,a^3}}{b\,x^6+a\,x^4}-\frac{3\,b^2\,\ln\left(b\,x^2+a\right)}{2\,a^4}+\frac{3\,b^2\,\ln\left(x\right)}{a^4}","Not used",1,"((3*b*x^2)/(4*a^2) - 1/(4*a) + (3*b^2*x^4)/(2*a^3))/(a*x^4 + b*x^6) - (3*b^2*log(a + b*x^2))/(2*a^4) + (3*b^2*log(x))/a^4","B"
164,1,70,81,4.850378,"\text{Not used}","int(1/(x^6*(a + b*x^2)^2),x)","-\frac{\frac{1}{5\,a}-\frac{7\,b\,x^2}{15\,a^2}+\frac{7\,b^2\,x^4}{3\,a^3}+\frac{7\,b^3\,x^6}{2\,a^4}}{b\,x^7+a\,x^5}-\frac{7\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,a^{9/2}}","Not used",1,"- (1/(5*a) - (7*b*x^2)/(15*a^2) + (7*b^2*x^4)/(3*a^3) + (7*b^3*x^6)/(2*a^4))/(a*x^5 + b*x^7) - (7*b^(5/2)*atan((b^(1/2)*x)/a^(1/2)))/(2*a^(9/2))","B"
165,1,78,80,0.118989,"\text{Not used}","int(1/(x^7*(a + b*x^2)^2),x)","\frac{2\,b^3\,\ln\left(b\,x^2+a\right)}{a^5}-\frac{\frac{1}{6\,a}-\frac{b\,x^2}{3\,a^2}+\frac{b^2\,x^4}{a^3}+\frac{2\,b^3\,x^6}{a^4}}{b\,x^8+a\,x^6}-\frac{4\,b^3\,\ln\left(x\right)}{a^5}","Not used",1,"(2*b^3*log(a + b*x^2))/a^5 - (1/(6*a) - (b*x^2)/(3*a^2) + (b^2*x^4)/a^3 + (2*b^3*x^6)/a^4)/(a*x^6 + b*x^8) - (4*b^3*log(x))/a^5","B"
166,1,80,94,4.559513,"\text{Not used}","int(1/(x^8*(a + b*x^2)^2),x)","\frac{\frac{9\,b\,x^2}{35\,a^2}-\frac{1}{7\,a}-\frac{3\,b^2\,x^4}{5\,a^3}+\frac{3\,b^3\,x^6}{a^4}+\frac{9\,b^4\,x^8}{2\,a^5}}{b\,x^9+a\,x^7}+\frac{9\,b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,a^{11/2}}","Not used",1,"((9*b*x^2)/(35*a^2) - 1/(7*a) - (3*b^2*x^4)/(5*a^3) + (3*b^3*x^6)/a^4 + (9*b^4*x^8)/(2*a^5))/(a*x^7 + b*x^9) + (9*b^(7/2)*atan((b^(1/2)*x)/a^(1/2)))/(2*a^(11/2))","B"
167,1,89,93,4.731051,"\text{Not used}","int(1/(x^9*(a + b*x^2)^2),x)","\frac{\frac{5\,b\,x^2}{24\,a^2}-\frac{1}{8\,a}-\frac{5\,b^2\,x^4}{12\,a^3}+\frac{5\,b^3\,x^6}{4\,a^4}+\frac{5\,b^4\,x^8}{2\,a^5}}{b\,x^{10}+a\,x^8}-\frac{5\,b^4\,\ln\left(b\,x^2+a\right)}{2\,a^6}+\frac{5\,b^4\,\ln\left(x\right)}{a^6}","Not used",1,"((5*b*x^2)/(24*a^2) - 1/(8*a) - (5*b^2*x^4)/(12*a^3) + (5*b^3*x^6)/(4*a^4) + (5*b^4*x^8)/(2*a^5))/(a*x^8 + b*x^10) - (5*b^4*log(a + b*x^2))/(2*a^6) + (5*b^4*log(x))/a^6","B"
168,1,111,114,4.724963,"\text{Not used}","int(x^15/(a + b*x^2)^3,x)","\frac{x^{10}}{10\,b^3}-\frac{\frac{13\,a^7}{4\,b}+\frac{7\,a^6\,x^2}{2}}{a^2\,b^7+2\,a\,b^8\,x^2+b^9\,x^4}-\frac{3\,a\,x^8}{8\,b^4}-\frac{21\,a^5\,\ln\left(b\,x^2+a\right)}{2\,b^8}+\frac{a^2\,x^6}{b^5}-\frac{5\,a^3\,x^4}{2\,b^6}+\frac{15\,a^4\,x^2}{2\,b^7}","Not used",1,"x^10/(10*b^3) - ((13*a^7)/(4*b) + (7*a^6*x^2)/2)/(a^2*b^7 + b^9*x^4 + 2*a*b^8*x^2) - (3*a*x^8)/(8*b^4) - (21*a^5*log(a + b*x^2))/(2*b^8) + (a^2*x^6)/b^5 - (5*a^3*x^4)/(2*b^6) + (15*a^4*x^2)/(2*b^7)","B"
169,1,100,100,0.077309,"\text{Not used}","int(x^13/(a + b*x^2)^3,x)","\frac{\frac{11\,a^6}{4\,b}+3\,a^5\,x^2}{a^2\,b^6+2\,a\,b^7\,x^2+b^8\,x^4}+\frac{x^8}{8\,b^3}-\frac{a\,x^6}{2\,b^4}+\frac{15\,a^4\,\ln\left(b\,x^2+a\right)}{2\,b^7}+\frac{3\,a^2\,x^4}{2\,b^5}-\frac{5\,a^3\,x^2}{b^6}","Not used",1,"((11*a^6)/(4*b) + 3*a^5*x^2)/(a^2*b^6 + b^8*x^4 + 2*a*b^7*x^2) + x^8/(8*b^3) - (a*x^6)/(2*b^4) + (15*a^4*log(a + b*x^2))/(2*b^7) + (3*a^2*x^4)/(2*b^5) - (5*a^3*x^2)/b^6","B"
170,1,90,87,4.492681,"\text{Not used}","int(x^11/(a + b*x^2)^3,x)","\frac{x^6}{6\,b^3}-\frac{\frac{9\,a^5}{4\,b}+\frac{5\,a^4\,x^2}{2}}{a^2\,b^5+2\,a\,b^6\,x^2+b^7\,x^4}-\frac{3\,a\,x^4}{4\,b^4}-\frac{5\,a^3\,\ln\left(b\,x^2+a\right)}{b^6}+\frac{3\,a^2\,x^2}{b^5}","Not used",1,"x^6/(6*b^3) - ((9*a^5)/(4*b) + (5*a^4*x^2)/2)/(a^2*b^5 + b^7*x^4 + 2*a*b^6*x^2) - (3*a*x^4)/(4*b^4) - (5*a^3*log(a + b*x^2))/b^6 + (3*a^2*x^2)/b^5","B"
171,1,78,74,0.083012,"\text{Not used}","int(x^9/(a + b*x^2)^3,x)","\frac{\frac{7\,a^4}{4\,b}+2\,a^3\,x^2}{a^2\,b^4+2\,a\,b^5\,x^2+b^6\,x^4}+\frac{x^4}{4\,b^3}-\frac{3\,a\,x^2}{2\,b^4}+\frac{3\,a^2\,\ln\left(b\,x^2+a\right)}{b^5}","Not used",1,"((7*a^4)/(4*b) + 2*a^3*x^2)/(a^2*b^4 + b^6*x^4 + 2*a*b^5*x^2) + x^4/(4*b^3) - (3*a*x^2)/(2*b^4) + (3*a^2*log(a + b*x^2))/b^5","B"
172,1,68,65,4.749366,"\text{Not used}","int(x^7/(a + b*x^2)^3,x)","\frac{x^2}{2\,b^3}-\frac{\frac{5\,a^3}{4\,b}+\frac{3\,a^2\,x^2}{2}}{a^2\,b^3+2\,a\,b^4\,x^2+b^5\,x^4}-\frac{3\,a\,\ln\left(b\,x^2+a\right)}{2\,b^4}","Not used",1,"x^2/(2*b^3) - ((5*a^3)/(4*b) + (3*a^2*x^2)/2)/(a^2*b^3 + b^5*x^4 + 2*a*b^4*x^2) - (3*a*log(a + b*x^2))/(2*b^4)","B"
173,1,52,49,0.059470,"\text{Not used}","int(x^5/(a + b*x^2)^3,x)","\frac{\frac{3\,a^2}{4\,b^3}+\frac{a\,x^2}{b^2}}{a^2+2\,a\,b\,x^2+b^2\,x^4}+\frac{\ln\left(b\,x^2+a\right)}{2\,b^3}","Not used",1,"((3*a^2)/(4*b^3) + (a*x^2)/b^2)/(a^2 + b^2*x^4 + 2*a*b*x^2) + log(a + b*x^2)/(2*b^3)","B"
174,1,37,19,0.031843,"\text{Not used}","int(x^3/(a + b*x^2)^3,x)","-\frac{\frac{a}{4\,b^2}+\frac{x^2}{2\,b}}{a^2+2\,a\,b\,x^2+b^2\,x^4}","Not used",1,"-(a/(4*b^2) + x^2/(2*b))/(a^2 + b^2*x^4 + 2*a*b*x^2)","B"
175,1,28,16,4.622531,"\text{Not used}","int(x/(a + b*x^2)^3,x)","-\frac{1}{4\,a^2\,b+8\,a\,b^2\,x^2+4\,b^3\,x^4}","Not used",1,"-1/(4*a^2*b + 4*b^3*x^4 + 8*a*b^2*x^2)","B"
176,1,56,54,4.675448,"\text{Not used}","int(1/(x*(a + b*x^2)^3),x)","\frac{\ln\left(x\right)}{a^3}+\frac{\frac{3}{4\,a}+\frac{b\,x^2}{2\,a^2}}{a^2+2\,a\,b\,x^2+b^2\,x^4}-\frac{\ln\left(b\,x^2+a\right)}{2\,a^3}","Not used",1,"log(x)/a^3 + (3/(4*a) + (b*x^2)/(2*a^2))/(a^2 + b^2*x^4 + 2*a*b*x^2) - log(a + b*x^2)/(2*a^3)","B"
177,1,75,67,0.080191,"\text{Not used}","int(1/(x^3*(a + b*x^2)^3),x)","\frac{3\,b\,\ln\left(b\,x^2+a\right)}{2\,a^4}-\frac{\frac{1}{2\,a}+\frac{9\,b\,x^2}{4\,a^2}+\frac{3\,b^2\,x^4}{2\,a^3}}{a^2\,x^2+2\,a\,b\,x^4+b^2\,x^6}-\frac{3\,b\,\ln\left(x\right)}{a^4}","Not used",1,"(3*b*log(a + b*x^2))/(2*a^4) - (1/(2*a) + (9*b*x^2)/(4*a^2) + (3*b^2*x^4)/(2*a^3))/(a^2*x^2 + b^2*x^6 + 2*a*b*x^4) - (3*b*log(x))/a^4","B"
178,1,88,86,4.672447,"\text{Not used}","int(1/(x^5*(a + b*x^2)^3),x)","\frac{\frac{b\,x^2}{a^2}-\frac{1}{4\,a}+\frac{9\,b^2\,x^4}{2\,a^3}+\frac{3\,b^3\,x^6}{a^4}}{a^2\,x^4+2\,a\,b\,x^6+b^2\,x^8}-\frac{3\,b^2\,\ln\left(b\,x^2+a\right)}{a^5}+\frac{6\,b^2\,\ln\left(x\right)}{a^5}","Not used",1,"((b*x^2)/a^2 - 1/(4*a) + (9*b^2*x^4)/(2*a^3) + (3*b^3*x^6)/a^4)/(a^2*x^4 + b^2*x^8 + 2*a*b*x^6) - (3*b^2*log(a + b*x^2))/a^5 + (6*b^2*log(x))/a^5","B"
179,1,101,95,4.691771,"\text{Not used}","int(1/(x^7*(a + b*x^2)^3),x)","\frac{5\,b^3\,\ln\left(b\,x^2+a\right)}{a^6}-\frac{\frac{1}{6\,a}-\frac{5\,b\,x^2}{12\,a^2}+\frac{5\,b^2\,x^4}{3\,a^3}+\frac{15\,b^3\,x^6}{2\,a^4}+\frac{5\,b^4\,x^8}{a^5}}{a^2\,x^6+2\,a\,b\,x^8+b^2\,x^{10}}-\frac{10\,b^3\,\ln\left(x\right)}{a^6}","Not used",1,"(5*b^3*log(a + b*x^2))/a^6 - (1/(6*a) - (5*b*x^2)/(12*a^2) + (5*b^2*x^4)/(3*a^3) + (15*b^3*x^6)/(2*a^4) + (5*b^4*x^8)/a^5)/(a^2*x^6 + b^2*x^10 + 2*a*b*x^8) - (10*b^3*log(x))/a^6","B"
180,1,111,112,4.855046,"\text{Not used}","int(1/(x^9*(a + b*x^2)^3),x)","\frac{\frac{b\,x^2}{4\,a^2}-\frac{1}{8\,a}-\frac{5\,b^2\,x^4}{8\,a^3}+\frac{5\,b^3\,x^6}{2\,a^4}+\frac{45\,b^4\,x^8}{4\,a^5}+\frac{15\,b^5\,x^{10}}{2\,a^6}}{a^2\,x^8+2\,a\,b\,x^{10}+b^2\,x^{12}}-\frac{15\,b^4\,\ln\left(b\,x^2+a\right)}{2\,a^7}+\frac{15\,b^4\,\ln\left(x\right)}{a^7}","Not used",1,"((b*x^2)/(4*a^2) - 1/(8*a) - (5*b^2*x^4)/(8*a^3) + (5*b^3*x^6)/(2*a^4) + (45*b^4*x^8)/(4*a^5) + (15*b^5*x^10)/(2*a^6))/(a^2*x^8 + b^2*x^12 + 2*a*b*x^10) - (15*b^4*log(a + b*x^2))/(2*a^7) + (15*b^4*log(x))/a^7","B"
181,1,99,111,0.075600,"\text{Not used}","int(x^12/(a + b*x^2)^3,x)","\frac{x^7}{7\,b^3}-\frac{\frac{19\,a^5\,x}{8}+\frac{21\,b\,a^4\,x^3}{8}}{a^2\,b^6+2\,a\,b^7\,x^2+b^8\,x^4}-\frac{3\,a\,x^5}{5\,b^4}-\frac{10\,a^3\,x}{b^6}+\frac{99\,a^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,b^{13/2}}+\frac{2\,a^2\,x^3}{b^5}","Not used",1,"x^7/(7*b^3) - ((19*a^5*x)/8 + (21*a^4*b*x^3)/8)/(a^2*b^6 + b^8*x^4 + 2*a*b^7*x^2) - (3*a*x^5)/(5*b^4) - (10*a^3*x)/b^6 + (99*a^(7/2)*atan((b^(1/2)*x)/a^(1/2)))/(8*b^(13/2)) + (2*a^2*x^3)/b^5","B"
182,1,87,98,0.069817,"\text{Not used}","int(x^10/(a + b*x^2)^3,x)","\frac{\frac{15\,a^4\,x}{8}+\frac{17\,b\,a^3\,x^3}{8}}{a^2\,b^5+2\,a\,b^6\,x^2+b^7\,x^4}+\frac{x^5}{5\,b^3}-\frac{a\,x^3}{b^4}+\frac{6\,a^2\,x}{b^5}-\frac{63\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,b^{11/2}}","Not used",1,"((15*a^4*x)/8 + (17*a^3*b*x^3)/8)/(a^2*b^5 + b^7*x^4 + 2*a*b^6*x^2) + x^5/(5*b^3) - (a*x^3)/b^4 + (6*a^2*x)/b^5 - (63*a^(5/2)*atan((b^(1/2)*x)/a^(1/2)))/(8*b^(11/2))","B"
183,1,77,85,4.724604,"\text{Not used}","int(x^8/(a + b*x^2)^3,x)","\frac{x^3}{3\,b^3}-\frac{\frac{11\,a^3\,x}{8}+\frac{13\,b\,a^2\,x^3}{8}}{a^2\,b^4+2\,a\,b^5\,x^2+b^6\,x^4}+\frac{35\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,b^{9/2}}-\frac{3\,a\,x}{b^4}","Not used",1,"x^3/(3*b^3) - ((11*a^3*x)/8 + (13*a^2*b*x^3)/8)/(a^2*b^4 + b^6*x^4 + 2*a*b^5*x^2) + (35*a^(3/2)*atan((b^(1/2)*x)/a^(1/2)))/(8*b^(9/2)) - (3*a*x)/b^4","B"
184,1,64,74,4.745618,"\text{Not used}","int(x^6/(a + b*x^2)^3,x)","\frac{\frac{7\,a^2\,x}{8}+\frac{9\,b\,a\,x^3}{8}}{a^2\,b^3+2\,a\,b^4\,x^2+b^5\,x^4}+\frac{x}{b^3}-\frac{15\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,b^{7/2}}","Not used",1,"((7*a^2*x)/8 + (9*a*b*x^3)/8)/(a^2*b^3 + b^5*x^4 + 2*a*b^4*x^2) + x/b^3 - (15*a^(1/2)*atan((b^(1/2)*x)/a^(1/2)))/(8*b^(7/2))","B"
185,1,56,64,4.770599,"\text{Not used}","int(x^4/(a + b*x^2)^3,x)","\frac{3\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,\sqrt{a}\,b^{5/2}}-\frac{\frac{5\,x^3}{8\,b}+\frac{3\,a\,x}{8\,b^2}}{a^2+2\,a\,b\,x^2+b^2\,x^4}","Not used",1,"(3*atan((b^(1/2)*x)/a^(1/2)))/(8*a^(1/2)*b^(5/2)) - ((5*x^3)/(8*b) + (3*a*x)/(8*b^2))/(a^2 + b^2*x^4 + 2*a*b*x^2)","B"
186,1,55,65,4.738308,"\text{Not used}","int(x^2/(a + b*x^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,a^{3/2}\,b^{3/2}}-\frac{\frac{x}{8\,b}-\frac{x^3}{8\,a}}{a^2+2\,a\,b\,x^2+b^2\,x^4}","Not used",1,"atan((b^(1/2)*x)/a^(1/2))/(8*a^(3/2)*b^(3/2)) - (x/(8*b) - x^3/(8*a))/(a^2 + b^2*x^4 + 2*a*b*x^2)","B"
187,1,55,62,4.656122,"\text{Not used}","int(1/(a + b*x^2)^3,x)","\frac{\frac{5\,x}{8\,a}+\frac{3\,b\,x^3}{8\,a^2}}{a^2+2\,a\,b\,x^2+b^2\,x^4}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,a^{5/2}\,\sqrt{b}}","Not used",1,"((5*x)/(8*a) + (3*b*x^3)/(8*a^2))/(a^2 + b^2*x^4 + 2*a*b*x^2) + (3*atan((b^(1/2)*x)/a^(1/2)))/(8*a^(5/2)*b^(1/2))","B"
188,1,66,76,4.673326,"\text{Not used}","int(1/(x^2*(a + b*x^2)^3),x)","-\frac{\frac{1}{a}+\frac{25\,b\,x^2}{8\,a^2}+\frac{15\,b^2\,x^4}{8\,a^3}}{a^2\,x+2\,a\,b\,x^3+b^2\,x^5}-\frac{15\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,a^{7/2}}","Not used",1,"- (1/a + (25*b*x^2)/(8*a^2) + (15*b^2*x^4)/(8*a^3))/(a^2*x + b^2*x^5 + 2*a*b*x^3) - (15*b^(1/2)*atan((b^(1/2)*x)/a^(1/2)))/(8*a^(7/2))","B"
189,1,80,87,4.672183,"\text{Not used}","int(1/(x^4*(a + b*x^2)^3),x)","\frac{\frac{7\,b\,x^2}{3\,a^2}-\frac{1}{3\,a}+\frac{175\,b^2\,x^4}{24\,a^3}+\frac{35\,b^3\,x^6}{8\,a^4}}{a^2\,x^3+2\,a\,b\,x^5+b^2\,x^7}+\frac{35\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,a^{9/2}}","Not used",1,"((7*b*x^2)/(3*a^2) - 1/(3*a) + (175*b^2*x^4)/(24*a^3) + (35*b^3*x^6)/(8*a^4))/(a^2*x^3 + b^2*x^7 + 2*a*b*x^5) + (35*b^(3/2)*atan((b^(1/2)*x)/a^(1/2)))/(8*a^(9/2))","B"
190,1,92,100,5.021198,"\text{Not used}","int(1/(x^6*(a + b*x^2)^3),x)","-\frac{\frac{1}{5\,a}-\frac{3\,b\,x^2}{5\,a^2}+\frac{21\,b^2\,x^4}{5\,a^3}+\frac{105\,b^3\,x^6}{8\,a^4}+\frac{63\,b^4\,x^8}{8\,a^5}}{a^2\,x^5+2\,a\,b\,x^7+b^2\,x^9}-\frac{63\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,a^{11/2}}","Not used",1,"- (1/(5*a) - (3*b*x^2)/(5*a^2) + (21*b^2*x^4)/(5*a^3) + (105*b^3*x^6)/(8*a^4) + (63*b^4*x^8)/(8*a^5))/(a^2*x^5 + b^2*x^9 + 2*a*b*x^7) - (63*b^(5/2)*atan((b^(1/2)*x)/a^(1/2)))/(8*a^(11/2))","B"
191,1,102,113,4.984978,"\text{Not used}","int(1/(x^8*(a + b*x^2)^3),x)","\frac{\frac{11\,b\,x^2}{35\,a^2}-\frac{1}{7\,a}-\frac{33\,b^2\,x^4}{35\,a^3}+\frac{33\,b^3\,x^6}{5\,a^4}+\frac{165\,b^4\,x^8}{8\,a^5}+\frac{99\,b^5\,x^{10}}{8\,a^6}}{a^2\,x^7+2\,a\,b\,x^9+b^2\,x^{11}}+\frac{99\,b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,a^{13/2}}","Not used",1,"((11*b*x^2)/(35*a^2) - 1/(7*a) - (33*b^2*x^4)/(35*a^3) + (33*b^3*x^6)/(5*a^4) + (165*b^4*x^8)/(8*a^5) + (99*b^5*x^10)/(8*a^6))/(a^2*x^7 + b^2*x^11 + 2*a*b*x^9) + (99*b^(7/2)*atan((b^(1/2)*x)/a^(1/2)))/(8*a^(13/2))","B"
192,1,242,216,5.294846,"\text{Not used}","int(x^25/(a + b*x^2)^10,x)","\frac{x^6}{6\,b^{10}}-\frac{\frac{35201\,a^{12}}{252\,b}+\frac{32891\,a^{11}\,x^2}{28}+\frac{30371\,a^{10}\,b\,x^4}{7}+\frac{27599\,a^9\,b^2\,x^6}{3}+\frac{24519\,a^8\,b^3\,x^8}{2}+10527\,a^7\,b^4\,x^{10}+5698\,a^6\,b^5\,x^{12}+1782\,a^5\,b^6\,x^{14}+\frac{495\,a^4\,b^7\,x^{16}}{2}}{a^9\,b^{12}+9\,a^8\,b^{13}\,x^2+36\,a^7\,b^{14}\,x^4+84\,a^6\,b^{15}\,x^6+126\,a^5\,b^{16}\,x^8+126\,a^4\,b^{17}\,x^{10}+84\,a^3\,b^{18}\,x^{12}+36\,a^2\,b^{19}\,x^{14}+9\,a\,b^{20}\,x^{16}+b^{21}\,x^{18}}-\frac{5\,a\,x^4}{2\,b^{11}}-\frac{110\,a^3\,\ln\left(b\,x^2+a\right)}{b^{13}}+\frac{55\,a^2\,x^2}{2\,b^{12}}","Not used",1,"x^6/(6*b^10) - ((35201*a^12)/(252*b) + (32891*a^11*x^2)/28 + (30371*a^10*b*x^4)/7 + (27599*a^9*b^2*x^6)/3 + (24519*a^8*b^3*x^8)/2 + 10527*a^7*b^4*x^10 + 5698*a^6*b^5*x^12 + 1782*a^5*b^6*x^14 + (495*a^4*b^7*x^16)/2)/(a^9*b^12 + b^21*x^18 + 9*a*b^20*x^16 + 9*a^8*b^13*x^2 + 36*a^7*b^14*x^4 + 84*a^6*b^15*x^6 + 126*a^5*b^16*x^8 + 126*a^4*b^17*x^10 + 84*a^3*b^18*x^12 + 36*a^2*b^19*x^14) - (5*a*x^4)/(2*b^11) - (110*a^3*log(a + b*x^2))/b^13 + (55*a^2*x^2)/(2*b^12)","B"
193,1,230,205,0.401019,"\text{Not used}","int(x^23/(a + b*x^2)^10,x)","\frac{\frac{42131\,a^{11}}{1008\,b}+\frac{39611\,a^{10}\,x^2}{112}+\frac{36839\,a^9\,b\,x^4}{28}+\frac{11253\,a^8\,b^2\,x^6}{4}+\frac{15147\,a^7\,b^3\,x^8}{4}+\frac{13167\,a^6\,b^4\,x^{10}}{4}+\frac{3619\,a^5\,b^5\,x^{12}}{2}+\frac{1155\,a^4\,b^6\,x^{14}}{2}+\frac{165\,a^3\,b^7\,x^{16}}{2}}{a^9\,b^{11}+9\,a^8\,b^{12}\,x^2+36\,a^7\,b^{13}\,x^4+84\,a^6\,b^{14}\,x^6+126\,a^5\,b^{15}\,x^8+126\,a^4\,b^{16}\,x^{10}+84\,a^3\,b^{17}\,x^{12}+36\,a^2\,b^{18}\,x^{14}+9\,a\,b^{19}\,x^{16}+b^{20}\,x^{18}}+\frac{x^4}{4\,b^{10}}-\frac{5\,a\,x^2}{b^{11}}+\frac{55\,a^2\,\ln\left(b\,x^2+a\right)}{2\,b^{12}}","Not used",1,"((42131*a^11)/(1008*b) + (39611*a^10*x^2)/112 + (36839*a^9*b*x^4)/28 + (11253*a^8*b^2*x^6)/4 + (15147*a^7*b^3*x^8)/4 + (13167*a^6*b^4*x^10)/4 + (3619*a^5*b^5*x^12)/2 + (1155*a^4*b^6*x^14)/2 + (165*a^3*b^7*x^16)/2)/(a^9*b^11 + b^20*x^18 + 9*a*b^19*x^16 + 9*a^8*b^12*x^2 + 36*a^7*b^13*x^4 + 84*a^6*b^14*x^6 + 126*a^5*b^15*x^8 + 126*a^4*b^16*x^10 + 84*a^3*b^17*x^12 + 36*a^2*b^18*x^14) + x^4/(4*b^10) - (5*a*x^2)/b^11 + (55*a^2*log(a + b*x^2))/(2*b^12)","B"
194,1,220,188,0.425381,"\text{Not used}","int(x^21/(a + b*x^2)^10,x)","\frac{x^2}{2\,b^{10}}-\frac{\frac{4861\,a^{10}}{504\,b}+\frac{4609\,a^9\,x^2}{56}+\frac{4329\,a^8\,b\,x^4}{14}+669\,a^7\,b^2\,x^6+\frac{1827\,a^6\,b^3\,x^8}{2}+\frac{1617\,a^5\,b^4\,x^{10}}{2}+455\,a^4\,b^5\,x^{12}+150\,a^3\,b^6\,x^{14}+\frac{45\,a^2\,b^7\,x^{16}}{2}}{a^9\,b^{10}+9\,a^8\,b^{11}\,x^2+36\,a^7\,b^{12}\,x^4+84\,a^6\,b^{13}\,x^6+126\,a^5\,b^{14}\,x^8+126\,a^4\,b^{15}\,x^{10}+84\,a^3\,b^{16}\,x^{12}+36\,a^2\,b^{17}\,x^{14}+9\,a\,b^{18}\,x^{16}+b^{19}\,x^{18}}-\frac{5\,a\,\ln\left(b\,x^2+a\right)}{b^{11}}","Not used",1,"x^2/(2*b^10) - ((4861*a^10)/(504*b) + (4609*a^9*x^2)/56 + (4329*a^8*b*x^4)/14 + 669*a^7*b^2*x^6 + (1827*a^6*b^3*x^8)/2 + (1617*a^5*b^4*x^10)/2 + 455*a^4*b^5*x^12 + 150*a^3*b^6*x^14 + (45*a^2*b^7*x^16)/2)/(a^9*b^10 + b^19*x^18 + 9*a*b^18*x^16 + 9*a^8*b^11*x^2 + 36*a^7*b^12*x^4 + 84*a^6*b^13*x^6 + 126*a^5*b^14*x^8 + 126*a^4*b^15*x^10 + 84*a^3*b^16*x^12 + 36*a^2*b^17*x^14) - (5*a*log(a + b*x^2))/b^11","B"
195,1,207,179,5.362090,"\text{Not used}","int(x^19/(a + b*x^2)^10,x)","\frac{\frac{7129\,a^9}{5040\,b^{10}}+\frac{9\,a\,x^{16}}{2\,b^2}+\frac{27\,a^2\,x^{14}}{b^3}+\frac{77\,a^3\,x^{12}}{b^4}+\frac{525\,a^4\,x^{10}}{4\,b^5}+\frac{2877\,a^5\,x^8}{20\,b^6}+\frac{1029\,a^6\,x^6}{10\,b^7}+\frac{3267\,a^7\,x^4}{70\,b^8}+\frac{6849\,a^8\,x^2}{560\,b^9}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}+\frac{\ln\left(b\,x^2+a\right)}{2\,b^{10}}","Not used",1,"((7129*a^9)/(5040*b^10) + (9*a*x^16)/(2*b^2) + (27*a^2*x^14)/b^3 + (77*a^3*x^12)/b^4 + (525*a^4*x^10)/(4*b^5) + (2877*a^5*x^8)/(20*b^6) + (1029*a^6*x^6)/(10*b^7) + (3267*a^7*x^4)/(70*b^8) + (6849*a^8*x^2)/(560*b^9))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14) + log(a + b*x^2)/(2*b^10)","B"
196,1,192,19,0.115182,"\text{Not used}","int(x^17/(a + b*x^2)^10,x)","-\frac{a^8+9\,a^7\,b\,x^2+36\,a^6\,b^2\,x^4+84\,a^5\,b^3\,x^6+126\,a^4\,b^4\,x^8+126\,a^3\,b^5\,x^{10}+84\,a^2\,b^6\,x^{12}+36\,a\,b^7\,x^{14}+9\,b^8\,x^{16}}{18\,a^9\,b^9+162\,a^8\,b^{10}\,x^2+648\,a^7\,b^{11}\,x^4+1512\,a^6\,b^{12}\,x^6+2268\,a^5\,b^{13}\,x^8+2268\,a^4\,b^{14}\,x^{10}+1512\,a^3\,b^{15}\,x^{12}+648\,a^2\,b^{16}\,x^{14}+162\,a\,b^{17}\,x^{16}+18\,b^{18}\,x^{18}}","Not used",1,"-(a^8 + 9*b^8*x^16 + 9*a^7*b*x^2 + 36*a*b^7*x^14 + 36*a^6*b^2*x^4 + 84*a^5*b^3*x^6 + 126*a^4*b^4*x^8 + 126*a^3*b^5*x^10 + 84*a^2*b^6*x^12)/(18*a^9*b^9 + 18*b^18*x^18 + 162*a*b^17*x^16 + 162*a^8*b^10*x^2 + 648*a^7*b^11*x^4 + 1512*a^6*b^12*x^6 + 2268*a^5*b^13*x^8 + 2268*a^4*b^14*x^10 + 1512*a^3*b^15*x^12 + 648*a^2*b^16*x^14)","B"
197,1,181,39,4.885991,"\text{Not used}","int(x^15/(a + b*x^2)^10,x)","-\frac{a^7+9\,a^6\,b\,x^2+36\,a^5\,b^2\,x^4+84\,a^4\,b^3\,x^6+126\,a^3\,b^4\,x^8+126\,a^2\,b^5\,x^{10}+84\,a\,b^6\,x^{12}+36\,b^7\,x^{14}}{144\,a^9\,b^8+1296\,a^8\,b^9\,x^2+5184\,a^7\,b^{10}\,x^4+12096\,a^6\,b^{11}\,x^6+18144\,a^5\,b^{12}\,x^8+18144\,a^4\,b^{13}\,x^{10}+12096\,a^3\,b^{14}\,x^{12}+5184\,a^2\,b^{15}\,x^{14}+1296\,a\,b^{16}\,x^{16}+144\,b^{17}\,x^{18}}","Not used",1,"-(a^7 + 36*b^7*x^14 + 9*a^6*b*x^2 + 84*a*b^6*x^12 + 36*a^5*b^2*x^4 + 84*a^4*b^3*x^6 + 126*a^3*b^4*x^8 + 126*a^2*b^5*x^10)/(144*a^9*b^8 + 144*b^17*x^18 + 1296*a*b^16*x^16 + 1296*a^8*b^9*x^2 + 5184*a^7*b^10*x^4 + 12096*a^6*b^11*x^6 + 18144*a^5*b^12*x^8 + 18144*a^4*b^13*x^10 + 12096*a^3*b^14*x^12 + 5184*a^2*b^15*x^14)","B"
198,1,170,58,0.104844,"\text{Not used}","int(x^13/(a + b*x^2)^10,x)","-\frac{a^6+9\,a^5\,b\,x^2+36\,a^4\,b^2\,x^4+84\,a^3\,b^3\,x^6+126\,a^2\,b^4\,x^8+126\,a\,b^5\,x^{10}+84\,b^6\,x^{12}}{504\,a^9\,b^7+4536\,a^8\,b^8\,x^2+18144\,a^7\,b^9\,x^4+42336\,a^6\,b^{10}\,x^6+63504\,a^5\,b^{11}\,x^8+63504\,a^4\,b^{12}\,x^{10}+42336\,a^3\,b^{13}\,x^{12}+18144\,a^2\,b^{14}\,x^{14}+4536\,a\,b^{15}\,x^{16}+504\,b^{16}\,x^{18}}","Not used",1,"-(a^6 + 84*b^6*x^12 + 9*a^5*b*x^2 + 126*a*b^5*x^10 + 36*a^4*b^2*x^4 + 84*a^3*b^3*x^6 + 126*a^2*b^4*x^8)/(504*a^9*b^7 + 504*b^16*x^18 + 4536*a*b^15*x^16 + 4536*a^8*b^8*x^2 + 18144*a^7*b^9*x^4 + 42336*a^6*b^10*x^6 + 63504*a^5*b^11*x^8 + 63504*a^4*b^12*x^10 + 42336*a^3*b^13*x^12 + 18144*a^2*b^14*x^14)","B"
199,1,159,77,0.097392,"\text{Not used}","int(x^11/(a + b*x^2)^10,x)","-\frac{a^5+9\,a^4\,b\,x^2+36\,a^3\,b^2\,x^4+84\,a^2\,b^3\,x^6+126\,a\,b^4\,x^8+126\,b^5\,x^{10}}{1008\,a^9\,b^6+9072\,a^8\,b^7\,x^2+36288\,a^7\,b^8\,x^4+84672\,a^6\,b^9\,x^6+127008\,a^5\,b^{10}\,x^8+127008\,a^4\,b^{11}\,x^{10}+84672\,a^3\,b^{12}\,x^{12}+36288\,a^2\,b^{13}\,x^{14}+9072\,a\,b^{14}\,x^{16}+1008\,b^{15}\,x^{18}}","Not used",1,"-(a^5 + 126*b^5*x^10 + 9*a^4*b*x^2 + 126*a*b^4*x^8 + 36*a^3*b^2*x^4 + 84*a^2*b^3*x^6)/(1008*a^9*b^6 + 1008*b^15*x^18 + 9072*a*b^14*x^16 + 9072*a^8*b^7*x^2 + 36288*a^7*b^8*x^4 + 84672*a^6*b^9*x^6 + 127008*a^5*b^10*x^8 + 127008*a^4*b^11*x^10 + 84672*a^3*b^12*x^12 + 36288*a^2*b^13*x^14)","B"
200,1,148,91,4.819342,"\text{Not used}","int(x^9/(a + b*x^2)^10,x)","-\frac{a^4+9\,a^3\,b\,x^2+36\,a^2\,b^2\,x^4+84\,a\,b^3\,x^6+126\,b^4\,x^8}{1260\,a^9\,b^5+11340\,a^8\,b^6\,x^2+45360\,a^7\,b^7\,x^4+105840\,a^6\,b^8\,x^6+158760\,a^5\,b^9\,x^8+158760\,a^4\,b^{10}\,x^{10}+105840\,a^3\,b^{11}\,x^{12}+45360\,a^2\,b^{12}\,x^{14}+11340\,a\,b^{13}\,x^{16}+1260\,b^{14}\,x^{18}}","Not used",1,"-(a^4 + 126*b^4*x^8 + 9*a^3*b*x^2 + 84*a*b^3*x^6 + 36*a^2*b^2*x^4)/(1260*a^9*b^5 + 1260*b^14*x^18 + 11340*a*b^13*x^16 + 11340*a^8*b^6*x^2 + 45360*a^7*b^7*x^4 + 105840*a^6*b^8*x^6 + 158760*a^5*b^9*x^8 + 158760*a^4*b^10*x^10 + 105840*a^3*b^11*x^12 + 45360*a^2*b^12*x^14)","B"
201,1,136,72,0.098782,"\text{Not used}","int(x^7/(a + b*x^2)^10,x)","-\frac{\frac{a^3}{1008\,b^4}+\frac{x^6}{12\,b}+\frac{a\,x^4}{28\,b^2}+\frac{a^2\,x^2}{112\,b^3}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}","Not used",1,"-(a^3/(1008*b^4) + x^6/(12*b) + (a*x^4)/(28*b^2) + (a^2*x^2)/(112*b^3))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14)","B"
202,1,125,53,4.827571,"\text{Not used}","int(x^5/(a + b*x^2)^10,x)","-\frac{\frac{a^2}{504\,b^3}+\frac{x^4}{14\,b}+\frac{a\,x^2}{56\,b^2}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}","Not used",1,"-(a^2/(504*b^3) + x^4/(14*b) + (a*x^2)/(56*b^2))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14)","B"
203,1,114,34,0.107991,"\text{Not used}","int(x^3/(a + b*x^2)^10,x)","-\frac{\frac{a}{144\,b^2}+\frac{x^2}{16\,b}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}","Not used",1,"-(a/(144*b^2) + x^2/(16*b))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14)","B"
204,1,14,16,0.126339,"\text{Not used}","int(x/(a + b*x^2)^10,x)","-\frac{1}{18\,b\,{\left(b\,x^2+a\right)}^9}","Not used",1,"-1/(18*b*(a + b*x^2)^9)","B"
205,1,210,166,5.463992,"\text{Not used}","int(1/(x*(a + b*x^2)^10),x)","\frac{\ln\left(x\right)}{a^{10}}+\frac{\frac{7129}{5040\,a}+\frac{4609\,b\,x^2}{560\,a^2}+\frac{3349\,b^2\,x^4}{140\,a^3}+\frac{2509\,b^3\,x^6}{60\,a^4}+\frac{1879\,b^4\,x^8}{40\,a^5}+\frac{275\,b^5\,x^{10}}{8\,a^6}+\frac{191\,b^6\,x^{12}}{12\,a^7}+\frac{17\,b^7\,x^{14}}{4\,a^8}+\frac{b^8\,x^{16}}{2\,a^9}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}-\frac{\ln\left(b\,x^2+a\right)}{2\,a^{10}}","Not used",1,"log(x)/a^10 + (7129/(5040*a) + (4609*b*x^2)/(560*a^2) + (3349*b^2*x^4)/(140*a^3) + (2509*b^3*x^6)/(60*a^4) + (1879*b^4*x^8)/(40*a^5) + (275*b^5*x^10)/(8*a^6) + (191*b^6*x^12)/(12*a^7) + (17*b^7*x^14)/(4*a^8) + (b^8*x^16)/(2*a^9))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14) - log(a + b*x^2)/(2*a^10)","B"
206,1,229,184,0.521826,"\text{Not used}","int(1/(x^3*(a + b*x^2)^10),x)","\frac{5\,b\,\ln\left(b\,x^2+a\right)}{a^{11}}-\frac{\frac{1}{2\,a}+\frac{7129\,b\,x^2}{504\,a^2}+\frac{4609\,b^2\,x^4}{56\,a^3}+\frac{3349\,b^3\,x^6}{14\,a^4}+\frac{2509\,b^4\,x^8}{6\,a^5}+\frac{1879\,b^5\,x^{10}}{4\,a^6}+\frac{1375\,b^6\,x^{12}}{4\,a^7}+\frac{955\,b^7\,x^{14}}{6\,a^8}+\frac{85\,b^8\,x^{16}}{2\,a^9}+\frac{5\,b^9\,x^{18}}{a^{10}}}{a^9\,x^2+9\,a^8\,b\,x^4+36\,a^7\,b^2\,x^6+84\,a^6\,b^3\,x^8+126\,a^5\,b^4\,x^{10}+126\,a^4\,b^5\,x^{12}+84\,a^3\,b^6\,x^{14}+36\,a^2\,b^7\,x^{16}+9\,a\,b^8\,x^{18}+b^9\,x^{20}}-\frac{10\,b\,\ln\left(x\right)}{a^{11}}","Not used",1,"(5*b*log(a + b*x^2))/a^11 - (1/(2*a) + (7129*b*x^2)/(504*a^2) + (4609*b^2*x^4)/(56*a^3) + (3349*b^3*x^6)/(14*a^4) + (2509*b^4*x^8)/(6*a^5) + (1879*b^5*x^10)/(4*a^6) + (1375*b^6*x^12)/(4*a^7) + (955*b^7*x^14)/(6*a^8) + (85*b^8*x^16)/(2*a^9) + (5*b^9*x^18)/a^10)/(a^9*x^2 + b^9*x^20 + 9*a^8*b*x^4 + 9*a*b^8*x^18 + 36*a^7*b^2*x^6 + 84*a^6*b^3*x^8 + 126*a^5*b^4*x^10 + 126*a^4*b^5*x^12 + 84*a^3*b^6*x^14 + 36*a^2*b^7*x^16) - (10*b*log(x))/a^11","B"
207,1,243,217,5.775269,"\text{Not used}","int(1/(x^5*(a + b*x^2)^10),x)","\frac{\frac{11\,b\,x^2}{4\,a^2}-\frac{1}{4\,a}+\frac{78419\,b^2\,x^4}{1008\,a^3}+\frac{50699\,b^3\,x^6}{112\,a^4}+\frac{36839\,b^4\,x^8}{28\,a^5}+\frac{27599\,b^5\,x^{10}}{12\,a^6}+\frac{20669\,b^6\,x^{12}}{8\,a^7}+\frac{15125\,b^7\,x^{14}}{8\,a^8}+\frac{10505\,b^8\,x^{16}}{12\,a^9}+\frac{935\,b^9\,x^{18}}{4\,a^{10}}+\frac{55\,b^{10}\,x^{20}}{2\,a^{11}}}{a^9\,x^4+9\,a^8\,b\,x^6+36\,a^7\,b^2\,x^8+84\,a^6\,b^3\,x^{10}+126\,a^5\,b^4\,x^{12}+126\,a^4\,b^5\,x^{14}+84\,a^3\,b^6\,x^{16}+36\,a^2\,b^7\,x^{18}+9\,a\,b^8\,x^{20}+b^9\,x^{22}}-\frac{55\,b^2\,\ln\left(b\,x^2+a\right)}{2\,a^{12}}+\frac{55\,b^2\,\ln\left(x\right)}{a^{12}}","Not used",1,"((11*b*x^2)/(4*a^2) - 1/(4*a) + (78419*b^2*x^4)/(1008*a^3) + (50699*b^3*x^6)/(112*a^4) + (36839*b^4*x^8)/(28*a^5) + (27599*b^5*x^10)/(12*a^6) + (20669*b^6*x^12)/(8*a^7) + (15125*b^7*x^14)/(8*a^8) + (10505*b^8*x^16)/(12*a^9) + (935*b^9*x^18)/(4*a^10) + (55*b^10*x^20)/(2*a^11))/(a^9*x^4 + b^9*x^22 + 9*a^8*b*x^6 + 9*a*b^8*x^20 + 36*a^7*b^2*x^8 + 84*a^6*b^3*x^10 + 126*a^5*b^4*x^12 + 126*a^4*b^5*x^14 + 84*a^3*b^6*x^16 + 36*a^2*b^7*x^18) - (55*b^2*log(a + b*x^2))/(2*a^12) + (55*b^2*log(x))/a^12","B"
208,1,255,226,1.088081,"\text{Not used}","int(1/(x^7*(a + b*x^2)^10),x)","\frac{110\,b^3\,\ln\left(b\,x^2+a\right)}{a^{13}}-\frac{\frac{1}{6\,a}-\frac{b\,x^2}{a^2}+\frac{11\,b^2\,x^4}{a^3}+\frac{78419\,b^3\,x^6}{252\,a^4}+\frac{50699\,b^4\,x^8}{28\,a^5}+\frac{36839\,b^5\,x^{10}}{7\,a^6}+\frac{27599\,b^6\,x^{12}}{3\,a^7}+\frac{20669\,b^7\,x^{14}}{2\,a^8}+\frac{15125\,b^8\,x^{16}}{2\,a^9}+\frac{10505\,b^9\,x^{18}}{3\,a^{10}}+\frac{935\,b^{10}\,x^{20}}{a^{11}}+\frac{110\,b^{11}\,x^{22}}{a^{12}}}{a^9\,x^6+9\,a^8\,b\,x^8+36\,a^7\,b^2\,x^{10}+84\,a^6\,b^3\,x^{12}+126\,a^5\,b^4\,x^{14}+126\,a^4\,b^5\,x^{16}+84\,a^3\,b^6\,x^{18}+36\,a^2\,b^7\,x^{20}+9\,a\,b^8\,x^{22}+b^9\,x^{24}}-\frac{220\,b^3\,\ln\left(x\right)}{a^{13}}","Not used",1,"(110*b^3*log(a + b*x^2))/a^13 - (1/(6*a) - (b*x^2)/a^2 + (11*b^2*x^4)/a^3 + (78419*b^3*x^6)/(252*a^4) + (50699*b^4*x^8)/(28*a^5) + (36839*b^5*x^10)/(7*a^6) + (27599*b^6*x^12)/(3*a^7) + (20669*b^7*x^14)/(2*a^8) + (15125*b^8*x^16)/(2*a^9) + (10505*b^9*x^18)/(3*a^10) + (935*b^10*x^20)/a^11 + (110*b^11*x^22)/a^12)/(a^9*x^6 + b^9*x^24 + 9*a^8*b*x^8 + 9*a*b^8*x^22 + 36*a^7*b^2*x^10 + 84*a^6*b^3*x^12 + 126*a^5*b^4*x^14 + 126*a^4*b^5*x^16 + 84*a^3*b^6*x^18 + 36*a^2*b^7*x^20) - (220*b^3*log(x))/a^13","B"
209,1,241,231,4.898499,"\text{Not used}","int(x^24/(a + b*x^2)^10,x)","\frac{\frac{3831949\,a^{11}\,x}{65536}+\frac{48340777\,a^{10}\,b\,x^3}{98304}+\frac{297702839\,a^9\,b^2\,x^5}{163840}+\frac{631790371\,a^8\,b^3\,x^7}{163840}+\frac{463199\,a^7\,b^4\,x^9}{90}+\frac{725918941\,a^6\,b^5\,x^{11}}{163840}+\frac{394553929\,a^5\,b^6\,x^{13}}{163840}+\frac{74539223\,a^4\,b^7\,x^{15}}{98304}+\frac{6981491\,a^3\,b^8\,x^{17}}{65536}}{a^9\,b^{12}+9\,a^8\,b^{13}\,x^2+36\,a^7\,b^{14}\,x^4+84\,a^6\,b^{15}\,x^6+126\,a^5\,b^{16}\,x^8+126\,a^4\,b^{17}\,x^{10}+84\,a^3\,b^{18}\,x^{12}+36\,a^2\,b^{19}\,x^{14}+9\,a\,b^{20}\,x^{16}+b^{21}\,x^{18}}+\frac{x^5}{5\,b^{10}}-\frac{10\,a\,x^3}{3\,b^{11}}+\frac{55\,a^2\,x}{b^{12}}-\frac{7436429\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,b^{25/2}}","Not used",1,"((3831949*a^11*x)/65536 + (48340777*a^10*b*x^3)/98304 + (297702839*a^9*b^2*x^5)/163840 + (631790371*a^8*b^3*x^7)/163840 + (463199*a^7*b^4*x^9)/90 + (725918941*a^6*b^5*x^11)/163840 + (394553929*a^5*b^6*x^13)/163840 + (74539223*a^4*b^7*x^15)/98304 + (6981491*a^3*b^8*x^17)/65536)/(a^9*b^12 + b^21*x^18 + 9*a*b^20*x^16 + 9*a^8*b^13*x^2 + 36*a^7*b^14*x^4 + 84*a^6*b^15*x^6 + 126*a^5*b^16*x^8 + 126*a^4*b^17*x^10 + 84*a^3*b^18*x^12 + 36*a^2*b^19*x^14) + x^5/(5*b^10) - (10*a*x^3)/(3*b^11) + (55*a^2*x)/b^12 - (7436429*a^(5/2)*atan((b^(1/2)*x)/a^(1/2)))/(65536*b^(25/2))","B"
210,1,231,218,0.401998,"\text{Not used}","int(x^22/(a + b*x^2)^10,x)","\frac{x^3}{3\,b^{10}}-\frac{\frac{961255\,a^{10}\,x}{65536}+\frac{12201403\,a^9\,b\,x^3}{98304}+\frac{15137633\,a^8\,b^2\,x^5}{32768}+\frac{32405717\,a^7\,b^3\,x^7}{32768}+\frac{24013\,a^6\,b^4\,x^9}{18}+\frac{38143787\,a^5\,b^5\,x^{11}}{32768}+\frac{21103775\,a^4\,b^6\,x^{13}}{32768}+\frac{20435525\,a^3\,b^7\,x^{15}}{98304}+\frac{1987865\,a^2\,b^8\,x^{17}}{65536}}{a^9\,b^{11}+9\,a^8\,b^{12}\,x^2+36\,a^7\,b^{13}\,x^4+84\,a^6\,b^{14}\,x^6+126\,a^5\,b^{15}\,x^8+126\,a^4\,b^{16}\,x^{10}+84\,a^3\,b^{17}\,x^{12}+36\,a^2\,b^{18}\,x^{14}+9\,a\,b^{19}\,x^{16}+b^{20}\,x^{18}}+\frac{1616615\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,b^{23/2}}-\frac{10\,a\,x}{b^{11}}","Not used",1,"x^3/(3*b^10) - ((961255*a^10*x)/65536 + (12201403*a^9*b*x^3)/98304 + (15137633*a^8*b^2*x^5)/32768 + (32405717*a^7*b^3*x^7)/32768 + (24013*a^6*b^4*x^9)/18 + (38143787*a^5*b^5*x^11)/32768 + (21103775*a^4*b^6*x^13)/32768 + (20435525*a^3*b^7*x^15)/98304 + (1987865*a^2*b^8*x^17)/65536)/(a^9*b^11 + b^20*x^18 + 9*a*b^19*x^16 + 9*a^8*b^12*x^2 + 36*a^7*b^13*x^4 + 84*a^6*b^14*x^6 + 126*a^5*b^15*x^8 + 126*a^4*b^16*x^10 + 84*a^3*b^17*x^12 + 36*a^2*b^18*x^14) + (1616615*a^(3/2)*atan((b^(1/2)*x)/a^(1/2)))/(65536*b^(23/2)) - (10*a*x)/b^11","B"
211,1,218,207,0.444322,"\text{Not used}","int(x^20/(a + b*x^2)^10,x)","\frac{\frac{165409\,a^9\,x}{65536}+\frac{2117549\,a^8\,b\,x^3}{98304}+\frac{2654039\,a^7\,b^2\,x^5}{32768}+\frac{40270037\,a^6\,b^3\,x^7}{229376}+\frac{30313\,a^5\,b^4\,x^9}{126}+\frac{49153835\,a^4\,b^5\,x^{11}}{229376}+\frac{3997865\,a^3\,b^6\,x^{13}}{32768}+\frac{4042835\,a^2\,b^7\,x^{15}}{98304}+\frac{424415\,a\,b^8\,x^{17}}{65536}}{a^9\,b^{10}+9\,a^8\,b^{11}\,x^2+36\,a^7\,b^{12}\,x^4+84\,a^6\,b^{13}\,x^6+126\,a^5\,b^{14}\,x^8+126\,a^4\,b^{15}\,x^{10}+84\,a^3\,b^{16}\,x^{12}+36\,a^2\,b^{17}\,x^{14}+9\,a\,b^{18}\,x^{16}+b^{19}\,x^{18}}+\frac{x}{b^{10}}-\frac{230945\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,b^{21/2}}","Not used",1,"((165409*a^9*x)/65536 + (2117549*a^8*b*x^3)/98304 + (424415*a*b^8*x^17)/65536 + (2654039*a^7*b^2*x^5)/32768 + (40270037*a^6*b^3*x^7)/229376 + (30313*a^5*b^4*x^9)/126 + (49153835*a^4*b^5*x^11)/229376 + (3997865*a^3*b^6*x^13)/32768 + (4042835*a^2*b^7*x^15)/98304)/(a^9*b^10 + b^19*x^18 + 9*a*b^18*x^16 + 9*a^8*b^11*x^2 + 36*a^7*b^12*x^4 + 84*a^6*b^13*x^6 + 126*a^5*b^14*x^8 + 126*a^4*b^15*x^10 + 84*a^3*b^16*x^12 + 36*a^2*b^17*x^14) + x/b^10 - (230945*a^(1/2)*atan((b^(1/2)*x)/a^(1/2)))/(65536*b^(21/2))","B"
212,1,210,197,4.963859,"\text{Not used}","int(x^18/(a + b*x^2)^10,x)","\frac{12155\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,\sqrt{a}\,b^{19/2}}-\frac{\frac{53381\,x^{17}}{65536\,b}+\frac{399041\,a\,x^{15}}{98304\,b^2}+\frac{12155\,a^8\,x}{65536\,b^9}+\frac{355283\,a^2\,x^{13}}{32768\,b^3}+\frac{4108169\,a^3\,x^{11}}{229376\,b^4}+\frac{2431\,a^4\,x^9}{126\,b^5}+\frac{3133559\,a^5\,x^7}{229376\,b^6}+\frac{201773\,a^6\,x^5}{32768\,b^7}+\frac{158015\,a^7\,x^3}{98304\,b^8}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}","Not used",1,"(12155*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(1/2)*b^(19/2)) - ((53381*x^17)/(65536*b) + (399041*a*x^15)/(98304*b^2) + (12155*a^8*x)/(65536*b^9) + (355283*a^2*x^13)/(32768*b^3) + (4108169*a^3*x^11)/(229376*b^4) + (2431*a^4*x^9)/(126*b^5) + (3133559*a^5*x^7)/(229376*b^6) + (201773*a^6*x^5)/(32768*b^7) + (158015*a^7*x^3)/(98304*b^8))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14)","B"
213,1,207,198,4.757386,"\text{Not used}","int(x^16/(a + b*x^2)^10,x)","\frac{715\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{3/2}\,b^{17/2}}-\frac{\frac{23473\,x^{15}}{98304\,b}-\frac{715\,x^{17}}{65536\,a}+\frac{20899\,a\,x^{13}}{32768\,b^2}+\frac{715\,a^7\,x}{65536\,b^8}+\frac{241657\,a^2\,x^{11}}{229376\,b^3}+\frac{143\,a^3\,x^9}{126\,b^4}+\frac{184327\,a^4\,x^7}{229376\,b^5}+\frac{11869\,a^5\,x^5}{32768\,b^6}+\frac{9295\,a^6\,x^3}{98304\,b^7}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}","Not used",1,"(715*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(3/2)*b^(17/2)) - ((23473*x^15)/(98304*b) - (715*x^17)/(65536*a) + (20899*a*x^13)/(32768*b^2) + (715*a^7*x)/(65536*b^8) + (241657*a^2*x^11)/(229376*b^3) + (143*a^3*x^9)/(126*b^4) + (184327*a^4*x^7)/(229376*b^5) + (11869*a^5*x^5)/(32768*b^6) + (9295*a^6*x^3)/(98304*b^7))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14)","B"
214,1,205,199,4.752771,"\text{Not used}","int(x^14/(a + b*x^2)^10,x)","\frac{143\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{5/2}\,b^{15/2}}-\frac{\frac{20899\,x^{13}}{163840\,b}-\frac{1859\,x^{15}}{98304\,a}+\frac{241657\,a\,x^{11}}{1146880\,b^2}+\frac{143\,a^6\,x}{65536\,b^7}-\frac{143\,b\,x^{17}}{65536\,a^2}+\frac{143\,a^2\,x^9}{630\,b^3}+\frac{184327\,a^3\,x^7}{1146880\,b^4}+\frac{11869\,a^4\,x^5}{163840\,b^5}+\frac{1859\,a^5\,x^3}{98304\,b^6}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}","Not used",1,"(143*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(5/2)*b^(15/2)) - ((20899*x^13)/(163840*b) - (1859*x^15)/(98304*a) + (241657*a*x^11)/(1146880*b^2) + (143*a^6*x)/(65536*b^7) - (143*b*x^17)/(65536*a^2) + (143*a^2*x^9)/(630*b^3) + (184327*a^3*x^7)/(1146880*b^4) + (11869*a^4*x^5)/(163840*b^5) + (1859*a^5*x^3)/(98304*b^6))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14)","B"
215,1,205,200,0.146355,"\text{Not used}","int(x^12/(a + b*x^2)^10,x)","\frac{55\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{7/2}\,b^{13/2}}-\frac{\frac{18589\,x^{11}}{229376\,b}-\frac{913\,x^{13}}{32768\,a}+\frac{11\,a\,x^9}{126\,b^2}+\frac{55\,a^5\,x}{65536\,b^6}-\frac{715\,b\,x^{15}}{98304\,a^2}+\frac{14179\,a^2\,x^7}{229376\,b^3}+\frac{913\,a^3\,x^5}{32768\,b^4}+\frac{715\,a^4\,x^3}{98304\,b^5}-\frac{55\,b^2\,x^{17}}{65536\,a^3}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}","Not used",1,"(55*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(7/2)*b^(13/2)) - ((18589*x^11)/(229376*b) - (913*x^13)/(32768*a) + (11*a*x^9)/(126*b^2) + (55*a^5*x)/(65536*b^6) - (715*b*x^15)/(98304*a^2) + (14179*a^2*x^7)/(229376*b^3) + (913*a^3*x^5)/(32768*b^4) + (715*a^4*x^3)/(98304*b^5) - (55*b^2*x^17)/(65536*a^3))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14)","B"
216,1,205,201,4.769800,"\text{Not used}","int(x^10/(a + b*x^2)^10,x)","\frac{35\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{9/2}\,b^{11/2}}-\frac{\frac{x^9}{18\,b}-\frac{1289\,x^{11}}{32768\,a}+\frac{1289\,a\,x^7}{32768\,b^2}+\frac{35\,a^4\,x}{65536\,b^5}-\frac{581\,b\,x^{13}}{32768\,a^2}+\frac{581\,a^2\,x^5}{32768\,b^3}+\frac{455\,a^3\,x^3}{98304\,b^4}-\frac{455\,b^2\,x^{15}}{98304\,a^3}-\frac{35\,b^3\,x^{17}}{65536\,a^4}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}","Not used",1,"(35*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(9/2)*b^(11/2)) - (x^9/(18*b) - (1289*x^11)/(32768*a) + (1289*a*x^7)/(32768*b^2) + (35*a^4*x)/(65536*b^5) - (581*b*x^13)/(32768*a^2) + (581*a^2*x^5)/(32768*b^3) + (455*a^3*x^3)/(98304*b^4) - (455*b^2*x^15)/(98304*a^3) - (35*b^3*x^17)/(65536*a^4))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14)","B"
217,1,204,202,4.736381,"\text{Not used}","int(x^8/(a + b*x^2)^10,x)","\frac{\frac{x^9}{18\,a}-\frac{1289\,x^7}{32768\,b}-\frac{581\,a\,x^5}{32768\,b^2}-\frac{35\,a^3\,x}{65536\,b^4}+\frac{1289\,b\,x^{11}}{32768\,a^2}-\frac{455\,a^2\,x^3}{98304\,b^3}+\frac{581\,b^2\,x^{13}}{32768\,a^3}+\frac{455\,b^3\,x^{15}}{98304\,a^4}+\frac{35\,b^4\,x^{17}}{65536\,a^5}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}+\frac{35\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{11/2}\,b^{9/2}}","Not used",1,"(x^9/(18*a) - (1289*x^7)/(32768*b) - (581*a*x^5)/(32768*b^2) - (35*a^3*x)/(65536*b^4) + (1289*b*x^11)/(32768*a^2) - (455*a^2*x^3)/(98304*b^3) + (581*b^2*x^13)/(32768*a^3) + (455*b^3*x^15)/(98304*a^4) + (35*b^4*x^17)/(65536*a^5))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14) + (35*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(11/2)*b^(9/2))","B"
218,1,204,203,4.794221,"\text{Not used}","int(x^6/(a + b*x^2)^10,x)","\frac{\frac{18589\,x^7}{229376\,a}-\frac{913\,x^5}{32768\,b}-\frac{715\,a\,x^3}{98304\,b^2}-\frac{55\,a^2\,x}{65536\,b^3}+\frac{11\,b\,x^9}{126\,a^2}+\frac{14179\,b^2\,x^{11}}{229376\,a^3}+\frac{913\,b^3\,x^{13}}{32768\,a^4}+\frac{715\,b^4\,x^{15}}{98304\,a^5}+\frac{55\,b^5\,x^{17}}{65536\,a^6}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}+\frac{55\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{13/2}\,b^{7/2}}","Not used",1,"((18589*x^7)/(229376*a) - (913*x^5)/(32768*b) - (715*a*x^3)/(98304*b^2) - (55*a^2*x)/(65536*b^3) + (11*b*x^9)/(126*a^2) + (14179*b^2*x^11)/(229376*a^3) + (913*b^3*x^13)/(32768*a^4) + (715*b^4*x^15)/(98304*a^5) + (55*b^5*x^17)/(65536*a^6))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14) + (55*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(13/2)*b^(7/2))","B"
219,1,204,204,4.737729,"\text{Not used}","int(x^4/(a + b*x^2)^10,x)","\frac{\frac{20899\,x^5}{163840\,a}-\frac{1859\,x^3}{98304\,b}+\frac{241657\,b\,x^7}{1146880\,a^2}+\frac{143\,b^2\,x^9}{630\,a^3}+\frac{184327\,b^3\,x^{11}}{1146880\,a^4}+\frac{11869\,b^4\,x^{13}}{163840\,a^5}+\frac{1859\,b^5\,x^{15}}{98304\,a^6}+\frac{143\,b^6\,x^{17}}{65536\,a^7}-\frac{143\,a\,x}{65536\,b^2}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}+\frac{143\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{15/2}\,b^{5/2}}","Not used",1,"((20899*x^5)/(163840*a) - (1859*x^3)/(98304*b) + (241657*b*x^7)/(1146880*a^2) + (143*b^2*x^9)/(630*a^3) + (184327*b^3*x^11)/(1146880*a^4) + (11869*b^4*x^13)/(163840*a^5) + (1859*b^5*x^15)/(98304*a^6) + (143*b^6*x^17)/(65536*a^7) - (143*a*x)/(65536*b^2))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14) + (143*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(15/2)*b^(5/2))","B"
220,1,206,205,0.167043,"\text{Not used}","int(x^2/(a + b*x^2)^10,x)","\frac{\frac{23473\,x^3}{98304\,a}-\frac{715\,x}{65536\,b}+\frac{20899\,b\,x^5}{32768\,a^2}+\frac{241657\,b^2\,x^7}{229376\,a^3}+\frac{143\,b^3\,x^9}{126\,a^4}+\frac{184327\,b^4\,x^{11}}{229376\,a^5}+\frac{11869\,b^5\,x^{13}}{32768\,a^6}+\frac{9295\,b^6\,x^{15}}{98304\,a^7}+\frac{715\,b^7\,x^{17}}{65536\,a^8}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}+\frac{715\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{17/2}\,b^{3/2}}","Not used",1,"((23473*x^3)/(98304*a) - (715*x)/(65536*b) + (20899*b*x^5)/(32768*a^2) + (241657*b^2*x^7)/(229376*a^3) + (143*b^3*x^9)/(126*a^4) + (184327*b^4*x^11)/(229376*a^5) + (11869*b^5*x^13)/(32768*a^6) + (9295*b^6*x^15)/(98304*a^7) + (715*b^7*x^17)/(65536*a^8))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14) + (715*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(17/2)*b^(3/2))","B"
221,1,209,181,4.742732,"\text{Not used}","int(1/(a + b*x^2)^10,x)","\frac{\frac{53381\,x}{65536\,a}+\frac{399041\,b\,x^3}{98304\,a^2}+\frac{355283\,b^2\,x^5}{32768\,a^3}+\frac{4108169\,b^3\,x^7}{229376\,a^4}+\frac{2431\,b^4\,x^9}{126\,a^5}+\frac{3133559\,b^5\,x^{11}}{229376\,a^6}+\frac{201773\,b^6\,x^{13}}{32768\,a^7}+\frac{158015\,b^7\,x^{15}}{98304\,a^8}+\frac{12155\,b^8\,x^{17}}{65536\,a^9}}{a^9+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^8+126\,a^4\,b^5\,x^{10}+84\,a^3\,b^6\,x^{12}+36\,a^2\,b^7\,x^{14}+9\,a\,b^8\,x^{16}+b^9\,x^{18}}+\frac{12155\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{19/2}\,\sqrt{b}}","Not used",1,"((53381*x)/(65536*a) + (399041*b*x^3)/(98304*a^2) + (355283*b^2*x^5)/(32768*a^3) + (4108169*b^3*x^7)/(229376*a^4) + (2431*b^4*x^9)/(126*a^5) + (3133559*b^5*x^11)/(229376*a^6) + (201773*b^6*x^13)/(32768*a^7) + (158015*b^7*x^15)/(98304*a^8) + (12155*b^8*x^17)/(65536*a^9))/(a^9 + b^9*x^18 + 9*a^8*b*x^2 + 9*a*b^8*x^16 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^8 + 126*a^4*b^5*x^10 + 84*a^3*b^6*x^12 + 36*a^2*b^7*x^14) + (12155*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(19/2)*b^(1/2))","B"
222,1,220,209,5.089379,"\text{Not used}","int(1/(x^2*(a + b*x^2)^10),x)","-\frac{\frac{1}{a}+\frac{1014239\,b\,x^2}{65536\,a^2}+\frac{7581779\,b^2\,x^4}{98304\,a^3}+\frac{6750377\,b^3\,x^6}{32768\,a^4}+\frac{78055211\,b^4\,x^8}{229376\,a^5}+\frac{46189\,b^5\,x^{10}}{126\,a^6}+\frac{59537621\,b^6\,x^{12}}{229376\,a^7}+\frac{3833687\,b^7\,x^{14}}{32768\,a^8}+\frac{3002285\,b^8\,x^{16}}{98304\,a^9}+\frac{230945\,b^9\,x^{18}}{65536\,a^{10}}}{a^9\,x+9\,a^8\,b\,x^3+36\,a^7\,b^2\,x^5+84\,a^6\,b^3\,x^7+126\,a^5\,b^4\,x^9+126\,a^4\,b^5\,x^{11}+84\,a^3\,b^6\,x^{13}+36\,a^2\,b^7\,x^{15}+9\,a\,b^8\,x^{17}+b^9\,x^{19}}-\frac{230945\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{21/2}}","Not used",1,"- (1/a + (1014239*b*x^2)/(65536*a^2) + (7581779*b^2*x^4)/(98304*a^3) + (6750377*b^3*x^6)/(32768*a^4) + (78055211*b^4*x^8)/(229376*a^5) + (46189*b^5*x^10)/(126*a^6) + (59537621*b^6*x^12)/(229376*a^7) + (3833687*b^7*x^14)/(32768*a^8) + (3002285*b^8*x^16)/(98304*a^9) + (230945*b^9*x^18)/(65536*a^10))/(a^9*x + b^9*x^19 + 9*a^8*b*x^3 + 9*a*b^8*x^17 + 36*a^7*b^2*x^5 + 84*a^6*b^3*x^7 + 126*a^5*b^4*x^9 + 126*a^4*b^5*x^11 + 84*a^3*b^6*x^13 + 36*a^2*b^7*x^15) - (230945*b^(1/2)*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(21/2))","B"
223,1,234,220,5.106402,"\text{Not used}","int(1/(x^4*(a + b*x^2)^10),x)","\frac{\frac{7\,b\,x^2}{a^2}-\frac{1}{3\,a}+\frac{7099673\,b^2\,x^4}{65536\,a^3}+\frac{53072453\,b^3\,x^6}{98304\,a^4}+\frac{47252639\,b^4\,x^8}{32768\,a^5}+\frac{78055211\,b^5\,x^{10}}{32768\,a^6}+\frac{46189\,b^6\,x^{12}}{18\,a^7}+\frac{59537621\,b^7\,x^{14}}{32768\,a^8}+\frac{26835809\,b^8\,x^{16}}{32768\,a^9}+\frac{21015995\,b^9\,x^{18}}{98304\,a^{10}}+\frac{1616615\,b^{10}\,x^{20}}{65536\,a^{11}}}{a^9\,x^3+9\,a^8\,b\,x^5+36\,a^7\,b^2\,x^7+84\,a^6\,b^3\,x^9+126\,a^5\,b^4\,x^{11}+126\,a^4\,b^5\,x^{13}+84\,a^3\,b^6\,x^{15}+36\,a^2\,b^7\,x^{17}+9\,a\,b^8\,x^{19}+b^9\,x^{21}}+\frac{1616615\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{23/2}}","Not used",1,"((7*b*x^2)/a^2 - 1/(3*a) + (7099673*b^2*x^4)/(65536*a^3) + (53072453*b^3*x^6)/(98304*a^4) + (47252639*b^4*x^8)/(32768*a^5) + (78055211*b^5*x^10)/(32768*a^6) + (46189*b^6*x^12)/(18*a^7) + (59537621*b^7*x^14)/(32768*a^8) + (26835809*b^8*x^16)/(32768*a^9) + (21015995*b^9*x^18)/(98304*a^10) + (1616615*b^10*x^20)/(65536*a^11))/(a^9*x^3 + b^9*x^21 + 9*a^8*b*x^5 + 9*a*b^8*x^19 + 36*a^7*b^2*x^7 + 84*a^6*b^3*x^9 + 126*a^5*b^4*x^11 + 126*a^4*b^5*x^13 + 84*a^3*b^6*x^15 + 36*a^2*b^7*x^17) + (1616615*b^(3/2)*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(23/2))","B"
224,1,246,233,5.891890,"\text{Not used}","int(1/(x^6*(a + b*x^2)^10),x)","-\frac{\frac{1}{5\,a}-\frac{23\,b\,x^2}{15\,a^2}+\frac{161\,b^2\,x^4}{5\,a^3}+\frac{163292479\,b^3\,x^6}{327680\,a^4}+\frac{1220666419\,b^4\,x^8}{491520\,a^5}+\frac{1086810697\,b^5\,x^{10}}{163840\,a^6}+\frac{1795269853\,b^6\,x^{12}}{163840\,a^7}+\frac{1062347\,b^7\,x^{14}}{90\,a^8}+\frac{1369365283\,b^8\,x^{16}}{163840\,a^9}+\frac{617223607\,b^9\,x^{18}}{163840\,a^{10}}+\frac{96673577\,b^{10}\,x^{20}}{98304\,a^{11}}+\frac{7436429\,b^{11}\,x^{22}}{65536\,a^{12}}}{a^9\,x^5+9\,a^8\,b\,x^7+36\,a^7\,b^2\,x^9+84\,a^6\,b^3\,x^{11}+126\,a^5\,b^4\,x^{13}+126\,a^4\,b^5\,x^{15}+84\,a^3\,b^6\,x^{17}+36\,a^2\,b^7\,x^{19}+9\,a\,b^8\,x^{21}+b^9\,x^{23}}-\frac{7436429\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{65536\,a^{25/2}}","Not used",1,"- (1/(5*a) - (23*b*x^2)/(15*a^2) + (161*b^2*x^4)/(5*a^3) + (163292479*b^3*x^6)/(327680*a^4) + (1220666419*b^4*x^8)/(491520*a^5) + (1086810697*b^5*x^10)/(163840*a^6) + (1795269853*b^6*x^12)/(163840*a^7) + (1062347*b^7*x^14)/(90*a^8) + (1369365283*b^8*x^16)/(163840*a^9) + (617223607*b^9*x^18)/(163840*a^10) + (96673577*b^10*x^20)/(98304*a^11) + (7436429*b^11*x^22)/(65536*a^12))/(a^9*x^5 + b^9*x^23 + 9*a^8*b*x^7 + 9*a*b^8*x^21 + 36*a^7*b^2*x^9 + 84*a^6*b^3*x^11 + 126*a^5*b^4*x^13 + 126*a^4*b^5*x^15 + 84*a^3*b^6*x^17 + 36*a^2*b^7*x^19) - (7436429*b^(5/2)*atan((b^(1/2)*x)/a^(1/2)))/(65536*a^(25/2))","B"
225,1,23,28,0.049180,"\text{Not used}","int(x^3/(a - b*x^2),x)","-\frac{b\,x^2+a\,\ln\left(b\,x^2-a\right)}{2\,b^2}","Not used",1,"-(b*x^2 + a*log(b*x^2 - a))/(2*b^2)","B"
226,1,23,31,4.567247,"\text{Not used}","int(x^2/(a - b*x^2),x)","\frac{\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{b^{3/2}}-\frac{x}{b}","Not used",1,"(a^(1/2)*atanh((b^(1/2)*x)/a^(1/2)))/b^(3/2) - x/b","B"
227,1,15,16,0.032793,"\text{Not used}","int(x/(a - b*x^2),x)","-\frac{\ln\left(b\,x^2-a\right)}{2\,b}","Not used",1,"-log(b*x^2 - a)/(2*b)","B"
228,1,16,24,0.177345,"\text{Not used}","int(1/(a - b*x^2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"atanh((b^(1/2)*x)/a^(1/2))/(a^(1/2)*b^(1/2))","B"
229,1,21,23,4.536787,"\text{Not used}","int(1/(x*(a - b*x^2)),x)","\frac{\ln\left(x\right)}{a}-\frac{\ln\left(a-b\,x^2\right)}{2\,a}","Not used",1,"log(x)/a - log(a - b*x^2)/(2*a)","B"
230,1,25,33,4.610176,"\text{Not used}","int(1/(x^2*(a - b*x^2)),x)","\frac{\sqrt{b}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{a^{3/2}}-\frac{1}{a\,x}","Not used",1,"(b^(1/2)*atanh((b^(1/2)*x)/a^(1/2)))/a^(3/2) - 1/(a*x)","B"
231,1,31,35,0.073469,"\text{Not used}","int(1/(x^3*(a - b*x^2)),x)","\frac{b\,\ln\left(x\right)}{a^2}-\frac{b\,\ln\left(a-b\,x^2\right)}{2\,a^2}-\frac{1}{2\,a\,x^2}","Not used",1,"(b*log(x))/a^2 - (b*log(a - b*x^2))/(2*a^2) - 1/(2*a*x^2)","B"
232,1,32,35,0.044458,"\text{Not used}","int(x^3/(a - b*x^2)^2,x)","\frac{\ln\left(b\,x^2-a\right)}{2\,b^2}+\frac{a}{2\,b^2\,\left(a-b\,x^2\right)}","Not used",1,"log(b*x^2 - a)/(2*b^2) + a/(2*b^2*(a - b*x^2))","B"
233,1,34,46,4.684309,"\text{Not used}","int(x^2/(a - b*x^2)^2,x)","\frac{x}{2\,b\,\left(a-b\,x^2\right)}-\frac{\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,\sqrt{a}\,b^{3/2}}","Not used",1,"x/(2*b*(a - b*x^2)) - atanh((b^(1/2)*x)/a^(1/2))/(2*a^(1/2)*b^(3/2))","B"
234,1,15,17,0.021428,"\text{Not used}","int(x/(a - b*x^2)^2,x)","\frac{1}{2\,b\,\left(a-b\,x^2\right)}","Not used",1,"1/(2*b*(a - b*x^2))","B"
235,1,34,46,4.513677,"\text{Not used}","int(1/(a - b*x^2)^2,x)","\frac{x}{2\,a\,\left(a-b\,x^2\right)}+\frac{\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,a^{3/2}\,\sqrt{b}}","Not used",1,"x/(2*a*(a - b*x^2)) + atanh((b^(1/2)*x)/a^(1/2))/(2*a^(3/2)*b^(1/2))","B"
236,1,36,40,0.055376,"\text{Not used}","int(1/(x*(a - b*x^2)^2),x)","\frac{\ln\left(x\right)}{a^2}+\frac{1}{2\,a\,\left(a-b\,x^2\right)}-\frac{\ln\left(a-b\,x^2\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"
237,1,45,58,4.628163,"\text{Not used}","int(1/(x^2*(a - b*x^2)^2),x)","\frac{3\,\sqrt{b}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{2\,a^{5/2}}-\frac{\frac{1}{a}-\frac{3\,b\,x^2}{2\,a^2}}{a\,x-b\,x^3}","Not used",1,"(3*b^(1/2)*atanh((b^(1/2)*x)/a^(1/2)))/(2*a^(5/2)) - (1/a - (3*b*x^2)/(2*a^2))/(a*x - b*x^3)","B"
238,1,55,52,4.590519,"\text{Not used}","int(1/(x^3*(a - b*x^2)^2),x)","\frac{2\,b\,\ln\left(x\right)}{a^3}-\frac{b\,\ln\left(a-b\,x^2\right)}{a^3}-\frac{\frac{1}{2\,a}-\frac{b\,x^2}{a^2}}{a\,x^2-b\,x^4}","Not used",1,"(2*b*log(x))/a^3 - (b*log(a - b*x^2))/a^3 - (1/(2*a) - (b*x^2)/a^2)/(a*x^2 - b*x^4)","B"
239,1,37,20,0.038158,"\text{Not used}","int(x^3/(a - b*x^2)^3,x)","-\frac{\frac{a}{4\,b^2}-\frac{x^2}{2\,b}}{a^2-2\,a\,b\,x^2+b^2\,x^4}","Not used",1,"-(a/(4*b^2) - x^2/(2*b))/(a^2 + b^2*x^4 - 2*a*b*x^2)","B"
240,1,54,67,4.616041,"\text{Not used}","int(x^2/(a - b*x^2)^3,x)","\frac{\frac{x}{8\,b}+\frac{x^3}{8\,a}}{a^2-2\,a\,b\,x^2+b^2\,x^4}-\frac{\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,a^{3/2}\,b^{3/2}}","Not used",1,"(x/(8*b) + x^3/(8*a))/(a^2 + b^2*x^4 - 2*a*b*x^2) - atanh((b^(1/2)*x)/a^(1/2))/(8*a^(3/2)*b^(3/2))","B"
241,1,26,17,0.026119,"\text{Not used}","int(x/(a - b*x^2)^3,x)","\frac{1}{4\,a^2\,b-8\,a\,b^2\,x^2+4\,b^3\,x^4}","Not used",1,"1/(4*a^2*b + 4*b^3*x^4 - 8*a*b^2*x^2)","B"
242,1,55,64,4.600348,"\text{Not used}","int(1/(a - b*x^2)^3,x)","\frac{\frac{5\,x}{8\,a}-\frac{3\,b\,x^3}{8\,a^2}}{a^2-2\,a\,b\,x^2+b^2\,x^4}+\frac{3\,\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,a^{5/2}\,\sqrt{b}}","Not used",1,"((5*x)/(8*a) - (3*b*x^3)/(8*a^2))/(a^2 + b^2*x^4 - 2*a*b*x^2) + (3*atanh((b^(1/2)*x)/a^(1/2)))/(8*a^(5/2)*b^(1/2))","B"
243,1,57,57,0.064961,"\text{Not used}","int(1/(x*(a - b*x^2)^3),x)","\frac{\ln\left(x\right)}{a^3}+\frac{\frac{3}{4\,a}-\frac{b\,x^2}{2\,a^2}}{a^2-2\,a\,b\,x^2+b^2\,x^4}-\frac{\ln\left(a-b\,x^2\right)}{2\,a^3}","Not used",1,"log(x)/a^3 + (3/(4*a) - (b*x^2)/(2*a^2))/(a^2 + b^2*x^4 - 2*a*b*x^2) - log(a - b*x^2)/(2*a^3)","B"
244,1,66,78,4.604901,"\text{Not used}","int(1/(x^2*(a - b*x^2)^3),x)","\frac{15\,\sqrt{b}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{8\,a^{7/2}}-\frac{\frac{1}{a}-\frac{25\,b\,x^2}{8\,a^2}+\frac{15\,b^2\,x^4}{8\,a^3}}{a^2\,x-2\,a\,b\,x^3+b^2\,x^5}","Not used",1,"(15*b^(1/2)*atanh((b^(1/2)*x)/a^(1/2)))/(8*a^(7/2)) - (1/a - (25*b*x^2)/(8*a^2) + (15*b^2*x^4)/(8*a^3))/(a^2*x + b^2*x^5 - 2*a*b*x^3)","B"
245,1,76,69,4.610475,"\text{Not used}","int(1/(x^3*(a - b*x^2)^3),x)","\frac{3\,b\,\ln\left(x\right)}{a^4}-\frac{3\,b\,\ln\left(a-b\,x^2\right)}{2\,a^4}-\frac{\frac{1}{2\,a}-\frac{9\,b\,x^2}{4\,a^2}+\frac{3\,b^2\,x^4}{2\,a^3}}{a^2\,x^2-2\,a\,b\,x^4+b^2\,x^6}","Not used",1,"(3*b*log(x))/a^4 - (3*b*log(a - b*x^2))/(2*a^4) - (1/(2*a) - (9*b*x^2)/(4*a^2) + (3*b^2*x^4)/(2*a^3))/(a^2*x^2 + b^2*x^6 - 2*a*b*x^4)","B"
246,1,59,36,4.595192,"\text{Not used}","int(x^3/(a - b*x^2)^5,x)","-\frac{\frac{a}{24\,b^2}-\frac{x^2}{6\,b}}{a^4-4\,a^3\,b\,x^2+6\,a^2\,b^2\,x^4-4\,a\,b^3\,x^6+b^4\,x^8}","Not used",1,"-(a/(24*b^2) - x^2/(6*b))/(a^4 + b^4*x^8 - 4*a^3*b*x^2 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4)","B"
247,1,96,109,4.758540,"\text{Not used}","int(x^2/(a - b*x^2)^5,x)","\frac{\frac{5\,x}{128\,b}+\frac{73\,x^3}{384\,a}-\frac{55\,b\,x^5}{384\,a^2}+\frac{5\,b^2\,x^7}{128\,a^3}}{a^4-4\,a^3\,b\,x^2+6\,a^2\,b^2\,x^4-4\,a\,b^3\,x^6+b^4\,x^8}-\frac{5\,\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{128\,a^{7/2}\,b^{3/2}}","Not used",1,"((5*x)/(128*b) + (73*x^3)/(384*a) - (55*b*x^5)/(384*a^2) + (5*b^2*x^7)/(128*a^3))/(a^4 + b^4*x^8 - 4*a^3*b*x^2 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4) - (5*atanh((b^(1/2)*x)/a^(1/2)))/(128*a^(7/2)*b^(3/2))","B"
248,1,48,17,4.689706,"\text{Not used}","int(x/(a - b*x^2)^5,x)","\frac{1}{8\,a^4\,b-32\,a^3\,b^2\,x^2+48\,a^2\,b^3\,x^4-32\,a\,b^4\,x^6+8\,b^5\,x^8}","Not used",1,"1/(8*a^4*b + 8*b^5*x^8 - 32*a*b^4*x^6 - 32*a^3*b^2*x^2 + 48*a^2*b^3*x^4)","B"
249,1,99,100,4.794868,"\text{Not used}","int(1/(a - b*x^2)^5,x)","\frac{\frac{93\,x}{128\,a}-\frac{511\,b\,x^3}{384\,a^2}+\frac{385\,b^2\,x^5}{384\,a^3}-\frac{35\,b^3\,x^7}{128\,a^4}}{a^4-4\,a^3\,b\,x^2+6\,a^2\,b^2\,x^4-4\,a\,b^3\,x^6+b^4\,x^8}+\frac{35\,\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{128\,a^{9/2}\,\sqrt{b}}","Not used",1,"((93*x)/(128*a) - (511*b*x^3)/(384*a^2) + (385*b^2*x^5)/(384*a^3) - (35*b^3*x^7)/(128*a^4))/(a^4 + b^4*x^8 - 4*a^3*b*x^2 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4) + (35*atanh((b^(1/2)*x)/a^(1/2)))/(128*a^(9/2)*b^(1/2))","B"
250,1,101,91,5.237792,"\text{Not used}","int(1/(x*(a - b*x^2)^5),x)","\frac{\ln\left(x\right)}{a^5}+\frac{\frac{25}{24\,a}-\frac{13\,b\,x^2}{6\,a^2}+\frac{7\,b^2\,x^4}{4\,a^3}-\frac{b^3\,x^6}{2\,a^4}}{a^4-4\,a^3\,b\,x^2+6\,a^2\,b^2\,x^4-4\,a\,b^3\,x^6+b^4\,x^8}-\frac{\ln\left(a-b\,x^2\right)}{2\,a^5}","Not used",1,"log(x)/a^5 + (25/(24*a) - (13*b*x^2)/(6*a^2) + (7*b^2*x^4)/(4*a^3) - (b^3*x^6)/(2*a^4))/(a^4 + b^4*x^8 - 4*a^3*b*x^2 - 4*a*b^3*x^6 + 6*a^2*b^2*x^4) - log(a - b*x^2)/(2*a^5)","B"
251,1,110,118,5.174933,"\text{Not used}","int(1/(x^2*(a - b*x^2)^5),x)","\frac{315\,\sqrt{b}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{128\,a^{11/2}}-\frac{\frac{1}{a}-\frac{837\,b\,x^2}{128\,a^2}+\frac{1533\,b^2\,x^4}{128\,a^3}-\frac{1155\,b^3\,x^6}{128\,a^4}+\frac{315\,b^4\,x^8}{128\,a^5}}{a^4\,x-4\,a^3\,b\,x^3+6\,a^2\,b^2\,x^5-4\,a\,b^3\,x^7+b^4\,x^9}","Not used",1,"(315*b^(1/2)*atanh((b^(1/2)*x)/a^(1/2)))/(128*a^(11/2)) - (1/a - (837*b*x^2)/(128*a^2) + (1533*b^2*x^4)/(128*a^3) - (1155*b^3*x^6)/(128*a^4) + (315*b^4*x^8)/(128*a^5))/(a^4*x + b^4*x^9 - 4*a^3*b*x^3 - 4*a*b^3*x^7 + 6*a^2*b^2*x^5)","B"
252,1,120,106,5.350960,"\text{Not used}","int(1/(x^3*(a - b*x^2)^5),x)","\frac{5\,b\,\ln\left(x\right)}{a^6}-\frac{5\,b\,\ln\left(a-b\,x^2\right)}{2\,a^6}-\frac{\frac{1}{2\,a}-\frac{125\,b\,x^2}{24\,a^2}+\frac{65\,b^2\,x^4}{6\,a^3}-\frac{35\,b^3\,x^6}{4\,a^4}+\frac{5\,b^4\,x^8}{2\,a^5}}{a^4\,x^2-4\,a^3\,b\,x^4+6\,a^2\,b^2\,x^6-4\,a\,b^3\,x^8+b^4\,x^{10}}","Not used",1,"(5*b*log(x))/a^6 - (5*b*log(a - b*x^2))/(2*a^6) - (1/(2*a) - (125*b*x^2)/(24*a^2) + (65*b^2*x^4)/(6*a^3) - (35*b^3*x^6)/(4*a^4) + (5*b^4*x^8)/(2*a^5))/(a^4*x^2 + b^4*x^10 - 4*a^3*b*x^4 - 4*a*b^3*x^8 + 6*a^2*b^2*x^6)","B"
253,1,14,15,5.107779,"\text{Not used}","int(1/(x*(b*x^2 + 1)),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"
254,1,16,18,0.055735,"\text{Not used}","int(1/(x*(b*x^2 - 1)),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"
255,1,22,26,0.058785,"\text{Not used}","int(1/(x^3*(b*x^2 + 1)),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"
256,1,22,27,0.059314,"\text{Not used}","int(1/(x^3*(b*x^2 - 1)),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"
257,1,23,30,0.166983,"\text{Not used}","int(1/(a + a*x^2 - 1),x)","\frac{\mathrm{atan}\left(\frac{a\,x}{\sqrt{a^2-a}}\right)}{\sqrt{a^2-a}}","Not used",1,"atan((a*x)/(a^2 - a)^(1/2))/(a^2 - a)^(1/2)","B"
258,1,29,37,0.292588,"\text{Not used}","int(-1/(c + d - x^2*(c - d)),x)","-\frac{\mathrm{atanh}\left(\frac{x\,\sqrt{c-d}}{\sqrt{c+d}}\right)}{\sqrt{c+d}\,\sqrt{c-d}}","Not used",1,"-atanh((x*(c - d)^(1/2))/(c + d)^(1/2))/((c + d)^(1/2)*(c - d)^(1/2))","B"
259,1,24,28,0.034958,"\text{Not used}","int(1/(x*(b*x^2 + 1)^2),x)","\ln\left(x\right)-\frac{\ln\left(\frac{3\,b\,x^2}{2}+\frac{3}{2}\right)}{2}+\frac{1}{2\,\left(b\,x^2+1\right)}","Not used",1,"log(x) - log((3*b*x^2)/2 + 3/2)/2 + 1/(2*(b*x^2 + 1))","B"
260,1,26,30,0.035962,"\text{Not used}","int(1/(x*(b*x^2 - 1)^2),x)","\ln\left(x\right)-\frac{\ln\left(\frac{3\,b\,x^2}{2}-\frac{3}{2}\right)}{2}-\frac{1}{2\,\left(b\,x^2-1\right)}","Not used",1,"log(x) - log((3*b*x^2)/2 - 3/2)/2 - 1/(2*(b*x^2 - 1))","B"
261,1,38,34,5.137972,"\text{Not used}","int(1/(a + x^2*(b - a*c)),x)","-\frac{\mathrm{atanh}\left(\frac{x\,\left(2\,b-2\,a\,c\right)}{2\,\sqrt{a}\,\sqrt{a\,c-b}}\right)}{\sqrt{a}\,\sqrt{a\,c-b}}","Not used",1,"-atanh((x*(2*b - 2*a*c))/(2*a^(1/2)*(a*c - b)^(1/2)))/(a^(1/2)*(a*c - b)^(1/2))","B"
262,1,38,34,4.637879,"\text{Not used}","int(1/(a - x^2*(b - a*c)),x)","-\frac{\mathrm{atan}\left(\frac{x\,\left(2\,b-2\,a\,c\right)}{2\,\sqrt{a^2\,c-a\,b}}\right)}{\sqrt{a^2\,c-a\,b}}","Not used",1,"-atan((x*(2*b - 2*a*c))/(2*(a^2*c - a*b)^(1/2)))/(a^2*c - a*b)^(1/2)","B"
263,1,46,50,4.876491,"\text{Not used}","int(1/(c*(a - d) - x^2*(b - c)),x)","\frac{\mathrm{atanh}\left(\frac{x\,\left(2\,b-2\,c\right)}{2\,\sqrt{c}\,\sqrt{a-d}\,\sqrt{b-c}}\right)}{\sqrt{c}\,\sqrt{a-d}\,\sqrt{b-c}}","Not used",1,"atanh((x*(2*b - 2*c))/(2*c^(1/2)*(a - d)^(1/2)*(b - c)^(1/2)))/(c^(1/2)*(a - d)^(1/2)*(b - c)^(1/2))","B"
264,1,15,21,4.504574,"\text{Not used}","int(x^(7/2)*(a + b*x^2),x)","\frac{2\,x^{9/2}\,\left(9\,b\,x^2+13\,a\right)}{117}","Not used",1,"(2*x^(9/2)*(13*a + 9*b*x^2))/117","B"
265,1,15,21,0.025712,"\text{Not used}","int(x^(5/2)*(a + b*x^2),x)","\frac{2\,x^{7/2}\,\left(7\,b\,x^2+11\,a\right)}{77}","Not used",1,"(2*x^(7/2)*(11*a + 7*b*x^2))/77","B"
266,1,15,21,0.024896,"\text{Not used}","int(x^(3/2)*(a + b*x^2),x)","\frac{2\,x^{5/2}\,\left(5\,b\,x^2+9\,a\right)}{45}","Not used",1,"(2*x^(5/2)*(9*a + 5*b*x^2))/45","B"
267,1,15,21,0.025217,"\text{Not used}","int(x^(1/2)*(a + b*x^2),x)","\frac{2\,x^{3/2}\,\left(3\,b\,x^2+7\,a\right)}{21}","Not used",1,"(2*x^(3/2)*(7*a + 3*b*x^2))/21","B"
268,1,14,19,0.025712,"\text{Not used}","int((a + b*x^2)/x^(1/2),x)","\frac{2\,\sqrt{x}\,\left(b\,x^2+5\,a\right)}{5}","Not used",1,"(2*x^(1/2)*(5*a + b*x^2))/5","B"
269,1,15,19,0.026498,"\text{Not used}","int((a + b*x^2)/x^(3/2),x)","-\frac{6\,a-2\,b\,x^2}{3\,\sqrt{x}}","Not used",1,"-(6*a - 2*b*x^2)/(3*x^(1/2))","B"
270,1,15,19,0.026803,"\text{Not used}","int((a + b*x^2)/x^(5/2),x)","-\frac{2\,a-6\,b\,x^2}{3\,x^{3/2}}","Not used",1,"-(2*a - 6*b*x^2)/(3*x^(3/2))","B"
271,1,15,19,0.026960,"\text{Not used}","int((a + b*x^2)/x^(7/2),x)","-\frac{10\,b\,x^2+2\,a}{5\,x^{5/2}}","Not used",1,"-(2*a + 10*b*x^2)/(5*x^(5/2))","B"
272,1,25,36,0.044589,"\text{Not used}","int(x^(7/2)*(a + b*x^2)^2,x)","x^{9/2}\,\left(\frac{2\,a^2}{9}+\frac{4\,a\,b\,x^2}{13}+\frac{2\,b^2\,x^4}{17}\right)","Not used",1,"x^(9/2)*((2*a^2)/9 + (2*b^2*x^4)/17 + (4*a*b*x^2)/13)","B"
273,1,26,36,0.037200,"\text{Not used}","int(x^(5/2)*(a + b*x^2)^2,x)","\frac{2\,x^{7/2}\,\left(165\,a^2+210\,a\,b\,x^2+77\,b^2\,x^4\right)}{1155}","Not used",1,"(2*x^(7/2)*(165*a^2 + 77*b^2*x^4 + 210*a*b*x^2))/1155","B"
274,1,26,36,0.037663,"\text{Not used}","int(x^(3/2)*(a + b*x^2)^2,x)","\frac{2\,x^{5/2}\,\left(117\,a^2+130\,a\,b\,x^2+45\,b^2\,x^4\right)}{585}","Not used",1,"(2*x^(5/2)*(117*a^2 + 45*b^2*x^4 + 130*a*b*x^2))/585","B"
275,1,26,36,0.037054,"\text{Not used}","int(x^(1/2)*(a + b*x^2)^2,x)","\frac{2\,x^{3/2}\,\left(77\,a^2+66\,a\,b\,x^2+21\,b^2\,x^4\right)}{231}","Not used",1,"(2*x^(3/2)*(77*a^2 + 21*b^2*x^4 + 66*a*b*x^2))/231","B"
276,1,26,34,0.034952,"\text{Not used}","int((a + b*x^2)^2/x^(1/2),x)","\frac{2\,\sqrt{x}\,\left(45\,a^2+18\,a\,b\,x^2+5\,b^2\,x^4\right)}{45}","Not used",1,"(2*x^(1/2)*(45*a^2 + 5*b^2*x^4 + 18*a*b*x^2))/45","B"
277,1,26,34,0.038122,"\text{Not used}","int((a + b*x^2)^2/x^(3/2),x)","\frac{-42\,a^2+28\,a\,b\,x^2+6\,b^2\,x^4}{21\,\sqrt{x}}","Not used",1,"(6*b^2*x^4 - 42*a^2 + 28*a*b*x^2)/(21*x^(1/2))","B"
278,1,26,34,0.037400,"\text{Not used}","int((a + b*x^2)^2/x^(5/2),x)","\frac{-10\,a^2+60\,a\,b\,x^2+6\,b^2\,x^4}{15\,x^{3/2}}","Not used",1,"(6*b^2*x^4 - 10*a^2 + 60*a*b*x^2)/(15*x^(3/2))","B"
279,1,26,34,0.031603,"\text{Not used}","int((a + b*x^2)^2/x^(7/2),x)","-\frac{6\,a^2+60\,a\,b\,x^2-10\,b^2\,x^4}{15\,x^{5/2}}","Not used",1,"-(6*a^2 - 10*b^2*x^4 + 60*a*b*x^2)/(15*x^(5/2))","B"
280,1,35,51,0.044497,"\text{Not used}","int(x^(7/2)*(a + b*x^2)^3,x)","\frac{2\,a^3\,x^{9/2}}{9}+\frac{2\,b^3\,x^{21/2}}{21}+\frac{6\,a^2\,b\,x^{13/2}}{13}+\frac{6\,a\,b^2\,x^{17/2}}{17}","Not used",1,"(2*a^3*x^(9/2))/9 + (2*b^3*x^(21/2))/21 + (6*a^2*b*x^(13/2))/13 + (6*a*b^2*x^(17/2))/17","B"
281,1,35,51,0.043895,"\text{Not used}","int(x^(5/2)*(a + b*x^2)^3,x)","\frac{2\,a^3\,x^{7/2}}{7}+\frac{2\,b^3\,x^{19/2}}{19}+\frac{6\,a^2\,b\,x^{11/2}}{11}+\frac{2\,a\,b^2\,x^{15/2}}{5}","Not used",1,"(2*a^3*x^(7/2))/7 + (2*b^3*x^(19/2))/19 + (6*a^2*b*x^(11/2))/11 + (2*a*b^2*x^(15/2))/5","B"
282,1,35,51,0.041704,"\text{Not used}","int(x^(3/2)*(a + b*x^2)^3,x)","\frac{2\,a^3\,x^{5/2}}{5}+\frac{2\,b^3\,x^{17/2}}{17}+\frac{2\,a^2\,b\,x^{9/2}}{3}+\frac{6\,a\,b^2\,x^{13/2}}{13}","Not used",1,"(2*a^3*x^(5/2))/5 + (2*b^3*x^(17/2))/17 + (2*a^2*b*x^(9/2))/3 + (6*a*b^2*x^(13/2))/13","B"
283,1,35,51,0.042449,"\text{Not used}","int(x^(1/2)*(a + b*x^2)^3,x)","\frac{2\,a^3\,x^{3/2}}{3}+\frac{2\,b^3\,x^{15/2}}{15}+\frac{6\,a^2\,b\,x^{7/2}}{7}+\frac{6\,a\,b^2\,x^{11/2}}{11}","Not used",1,"(2*a^3*x^(3/2))/3 + (2*b^3*x^(15/2))/15 + (6*a^2*b*x^(7/2))/7 + (6*a*b^2*x^(11/2))/11","B"
284,1,35,49,0.043985,"\text{Not used}","int((a + b*x^2)^3/x^(1/2),x)","2\,a^3\,\sqrt{x}+\frac{2\,b^3\,x^{13/2}}{13}+\frac{6\,a^2\,b\,x^{5/2}}{5}+\frac{2\,a\,b^2\,x^{9/2}}{3}","Not used",1,"2*a^3*x^(1/2) + (2*b^3*x^(13/2))/13 + (6*a^2*b*x^(5/2))/5 + (2*a*b^2*x^(9/2))/3","B"
285,1,35,47,0.044225,"\text{Not used}","int((a + b*x^2)^3/x^(3/2),x)","\frac{2\,b^3\,x^{11/2}}{11}-\frac{2\,a^3}{\sqrt{x}}+2\,a^2\,b\,x^{3/2}+\frac{6\,a\,b^2\,x^{7/2}}{7}","Not used",1,"(2*b^3*x^(11/2))/11 - (2*a^3)/x^(1/2) + 2*a^2*b*x^(3/2) + (6*a*b^2*x^(7/2))/7","B"
286,1,35,49,0.045239,"\text{Not used}","int((a + b*x^2)^3/x^(5/2),x)","\frac{2\,b^3\,x^{9/2}}{9}-\frac{2\,a^3}{3\,x^{3/2}}+6\,a^2\,b\,\sqrt{x}+\frac{6\,a\,b^2\,x^{5/2}}{5}","Not used",1,"(2*b^3*x^(9/2))/9 - (2*a^3)/(3*x^(3/2)) + 6*a^2*b*x^(1/2) + (6*a*b^2*x^(5/2))/5","B"
287,1,37,47,0.042093,"\text{Not used}","int((a + b*x^2)^3/x^(7/2),x)","-\frac{14\,a^3+210\,a^2\,b\,x^2-70\,a\,b^2\,x^4-10\,b^3\,x^6}{35\,x^{5/2}}","Not used",1,"-(14*a^3 - 10*b^3*x^6 + 210*a^2*b*x^2 - 70*a*b^2*x^4)/(35*x^(5/2))","B"
288,1,67,215,4.486003,"\text{Not used}","int(x^(7/2)/(a + b*x^2),x)","\frac{2\,x^{5/2}}{5\,b}-\frac{2\,a\,\sqrt{x}}{b^2}-\frac{{\left(-a\right)}^{5/4}\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{b^{9/4}}+\frac{{\left(-a\right)}^{5/4}\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/4}}\right)\,1{}\mathrm{i}}{b^{9/4}}","Not used",1,"(2*x^(5/2))/(5*b) - (2*a*x^(1/2))/b^2 - ((-a)^(5/4)*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/b^(9/4) + ((-a)^(5/4)*atan((b^(1/4)*x^(1/2)*1i)/(-a)^(1/4))*1i)/b^(9/4)","B"
289,1,54,204,0.087040,"\text{Not used}","int(x^(5/2)/(a + b*x^2),x)","\frac{2\,x^{3/2}}{3\,b}+\frac{{\left(-a\right)}^{3/4}\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{b^{7/4}}-\frac{{\left(-a\right)}^{3/4}\,\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{b^{7/4}}","Not used",1,"(2*x^(3/2))/(3*b) + ((-a)^(3/4)*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/b^(7/4) - ((-a)^(3/4)*atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/b^(7/4)","B"
290,1,55,202,0.094153,"\text{Not used}","int(x^(3/2)/(a + b*x^2),x)","\frac{2\,\sqrt{x}}{b}-\frac{{\left(-a\right)}^{1/4}\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{b^{5/4}}-\frac{{\left(-a\right)}^{1/4}\,\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{b^{5/4}}","Not used",1,"(2*x^(1/2))/b - ((-a)^(1/4)*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/b^(5/4) - ((-a)^(1/4)*atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/b^(5/4)","B"
291,1,38,192,0.071085,"\text{Not used}","int(x^(1/2)/(a + b*x^2),x)","\frac{\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)-\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{{\left(-a\right)}^{1/4}\,b^{3/4}}","Not used",1,"(atan((b^(1/4)*x^(1/2))/(-a)^(1/4)) - atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/((-a)^(1/4)*b^(3/4))","B"
292,1,37,192,0.083820,"\text{Not used}","int(1/(x^(1/2)*(a + b*x^2)),x)","-\frac{\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)+\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{{\left(-a\right)}^{3/4}\,b^{1/4}}","Not used",1,"-(atan((b^(1/4)*x^(1/2))/(-a)^(1/4)) + atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/((-a)^(3/4)*b^(1/4))","B"
293,1,54,202,4.500783,"\text{Not used}","int(1/(x^(3/2)*(a + b*x^2)),x)","\frac{{\left(-b\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{a^{5/4}}-\frac{{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{a^{5/4}}-\frac{2}{a\,\sqrt{x}}","Not used",1,"((-b)^(1/4)*atanh(((-b)^(1/4)*x^(1/2))/a^(1/4)))/a^(5/4) - ((-b)^(1/4)*atan(((-b)^(1/4)*x^(1/2))/a^(1/4)))/a^(5/4) - 2/(a*x^(1/2))","B"
294,1,53,204,0.090066,"\text{Not used}","int(1/(x^(5/2)*(a + b*x^2)),x)","\frac{{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{a^{7/4}}-\frac{2}{3\,a\,x^{3/2}}+\frac{{\left(-b\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{a^{7/4}}","Not used",1,"((-b)^(3/4)*atan(((-b)^(1/4)*x^(1/2))/a^(1/4)))/a^(7/4) - 2/(3*a*x^(3/2)) + ((-b)^(3/4)*atanh(((-b)^(1/4)*x^(1/2))/a^(1/4)))/a^(7/4)","B"
295,1,66,215,4.480589,"\text{Not used}","int(1/(x^(7/2)*(a + b*x^2)),x)","\frac{{\left(-b\right)}^{5/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{a^{9/4}}-\frac{{\left(-b\right)}^{5/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{a^{9/4}}-\frac{\frac{2}{5\,a}-\frac{2\,b\,x^2}{a^2}}{x^{5/2}}","Not used",1,"((-b)^(5/4)*atanh(((-b)^(1/4)*x^(1/2))/a^(1/4)))/a^(9/4) - ((-b)^(5/4)*atan(((-b)^(1/4)*x^(1/2))/a^(1/4)))/a^(9/4) - (2/(5*a) - (2*b*x^2)/a^2)/x^(5/2)","B"
296,1,80,230,4.514890,"\text{Not used}","int(x^(7/2)/(a + b*x^2)^2,x)","\frac{2\,\sqrt{x}}{b^2}-\frac{5\,{\left(-a\right)}^{1/4}\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{4\,b^{9/4}}+\frac{a\,\sqrt{x}}{2\,\left(b^3\,x^2+a\,b^2\right)}+\frac{{\left(-a\right)}^{1/4}\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/4}}\right)\,5{}\mathrm{i}}{4\,b^{9/4}}","Not used",1,"(2*x^(1/2))/b^2 - (5*(-a)^(1/4)*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(4*b^(9/4)) + ((-a)^(1/4)*atan((b^(1/4)*x^(1/2)*1i)/(-a)^(1/4))*5i)/(4*b^(9/4)) + (a*x^(1/2))/(2*(a*b^2 + b^3*x^2))","B"
297,1,64,218,0.081303,"\text{Not used}","int(x^(5/2)/(a + b*x^2)^2,x)","\frac{3\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{1/4}\,b^{7/4}}-\frac{x^{3/2}}{2\,b\,\left(b\,x^2+a\right)}-\frac{3\,\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{1/4}\,b^{7/4}}","Not used",1,"(3*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(4*(-a)^(1/4)*b^(7/4)) - x^(3/2)/(2*b*(a + b*x^2)) - (3*atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(4*(-a)^(1/4)*b^(7/4))","B"
298,1,64,218,4.651123,"\text{Not used}","int(x^(3/2)/(a + b*x^2)^2,x)","-\frac{\sqrt{x}}{2\,b\,\left(b\,x^2+a\right)}-\frac{\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{3/4}\,b^{5/4}}-\frac{\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{3/4}\,b^{5/4}}","Not used",1,"- x^(1/2)/(2*b*(a + b*x^2)) - atan((b^(1/4)*x^(1/2))/(-a)^(1/4))/(4*(-a)^(3/4)*b^(5/4)) - atanh((b^(1/4)*x^(1/2))/(-a)^(1/4))/(4*(-a)^(3/4)*b^(5/4))","B"
299,1,64,218,0.086064,"\text{Not used}","int(x^(1/2)/(a + b*x^2)^2,x)","\frac{x^{3/2}}{2\,a\,\left(b\,x^2+a\right)}-\frac{\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{5/4}\,b^{3/4}}+\frac{\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{5/4}\,b^{3/4}}","Not used",1,"x^(3/2)/(2*a*(a + b*x^2)) - atan((b^(1/4)*x^(1/2))/(-a)^(1/4))/(4*(-a)^(5/4)*b^(3/4)) + atanh((b^(1/4)*x^(1/2))/(-a)^(1/4))/(4*(-a)^(5/4)*b^(3/4))","B"
300,1,64,218,0.090241,"\text{Not used}","int(1/(x^(1/2)*(a + b*x^2)^2),x)","\frac{\sqrt{x}}{2\,a\,\left(b\,x^2+a\right)}+\frac{3\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{7/4}\,b^{1/4}}+\frac{3\,\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{7/4}\,b^{1/4}}","Not used",1,"x^(1/2)/(2*a*(a + b*x^2)) + (3*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(4*(-a)^(7/4)*b^(1/4)) + (3*atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(4*(-a)^(7/4)*b^(1/4))","B"
301,1,77,230,0.082827,"\text{Not used}","int(1/(x^(3/2)*(a + b*x^2)^2),x)","\frac{5\,{\left(-b\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{4\,a^{9/4}}-\frac{5\,{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{4\,a^{9/4}}-\frac{\frac{2}{a}+\frac{5\,b\,x^2}{2\,a^2}}{a\,\sqrt{x}+b\,x^{5/2}}","Not used",1,"(5*(-b)^(1/4)*atanh(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(4*a^(9/4)) - (5*(-b)^(1/4)*atan(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(4*a^(9/4)) - (2/a + (5*b*x^2)/(2*a^2))/(a*x^(1/2) + b*x^(5/2))","B"
302,1,77,230,4.683290,"\text{Not used}","int(1/(x^(5/2)*(a + b*x^2)^2),x)","\frac{7\,{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{4\,a^{11/4}}-\frac{\frac{2}{3\,a}+\frac{7\,b\,x^2}{6\,a^2}}{a\,x^{3/2}+b\,x^{7/2}}+\frac{7\,{\left(-b\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{4\,a^{11/4}}","Not used",1,"(7*(-b)^(3/4)*atan(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(4*a^(11/4)) - (2/(3*a) + (7*b*x^2)/(6*a^2))/(a*x^(3/2) + b*x^(7/2)) + (7*(-b)^(3/4)*atanh(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(4*a^(11/4))","B"
303,1,87,243,4.690164,"\text{Not used}","int(1/(x^(7/2)*(a + b*x^2)^2),x)","\frac{\frac{18\,b\,x^2}{5\,a^2}-\frac{2}{5\,a}+\frac{9\,b^2\,x^4}{2\,a^3}}{a\,x^{5/2}+b\,x^{9/2}}-\frac{9\,{\left(-b\right)}^{5/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{4\,a^{13/4}}+\frac{9\,{\left(-b\right)}^{5/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{4\,a^{13/4}}","Not used",1,"((18*b*x^2)/(5*a^2) - 2/(5*a) + (9*b^2*x^4)/(2*a^3))/(a*x^(5/2) + b*x^(9/2)) - (9*(-b)^(5/4)*atan(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(4*a^(13/4)) + (9*(-b)^(5/4)*atanh(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(4*a^(13/4))","B"
304,1,87,239,4.687549,"\text{Not used}","int(x^(7/2)/(a + b*x^2)^3,x)","-\frac{\frac{9\,x^{5/2}}{16\,b}+\frac{5\,a\,\sqrt{x}}{16\,b^2}}{a^2+2\,a\,b\,x^2+b^2\,x^4}-\frac{5\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{3/4}\,b^{9/4}}-\frac{5\,\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{3/4}\,b^{9/4}}","Not used",1,"- ((9*x^(5/2))/(16*b) + (5*a*x^(1/2))/(16*b^2))/(a^2 + b^2*x^4 + 2*a*b*x^2) - (5*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(3/4)*b^(9/4)) - (5*atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(3/4)*b^(9/4))","B"
305,1,85,242,0.083000,"\text{Not used}","int(x^(5/2)/(a + b*x^2)^3,x)","\frac{\frac{3\,x^{7/2}}{16\,a}-\frac{x^{3/2}}{16\,b}}{a^2+2\,a\,b\,x^2+b^2\,x^4}-\frac{3\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{5/4}\,b^{7/4}}+\frac{3\,\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{5/4}\,b^{7/4}}","Not used",1,"((3*x^(7/2))/(16*a) - x^(3/2)/(16*b))/(a^2 + b^2*x^4 + 2*a*b*x^2) - (3*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(5/4)*b^(7/4)) + (3*atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(5/4)*b^(7/4))","B"
306,1,85,242,4.669393,"\text{Not used}","int(x^(3/2)/(a + b*x^2)^3,x)","\frac{\frac{x^{5/2}}{16\,a}-\frac{3\,\sqrt{x}}{16\,b}}{a^2+2\,a\,b\,x^2+b^2\,x^4}+\frac{3\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{7/4}\,b^{5/4}}+\frac{3\,\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{7/4}\,b^{5/4}}","Not used",1,"(x^(5/2)/(16*a) - (3*x^(1/2))/(16*b))/(a^2 + b^2*x^4 + 2*a*b*x^2) + (3*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(7/4)*b^(5/4)) + (3*atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(7/4)*b^(5/4))","B"
307,1,86,239,0.082856,"\text{Not used}","int(x^(1/2)/(a + b*x^2)^3,x)","\frac{\frac{9\,x^{3/2}}{16\,a}+\frac{5\,b\,x^{7/2}}{16\,a^2}}{a^2+2\,a\,b\,x^2+b^2\,x^4}+\frac{5\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{9/4}\,b^{3/4}}-\frac{5\,\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{9/4}\,b^{3/4}}","Not used",1,"((9*x^(3/2))/(16*a) + (5*b*x^(7/2))/(16*a^2))/(a^2 + b^2*x^4 + 2*a*b*x^2) + (5*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(9/4)*b^(3/4)) - (5*atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(9/4)*b^(3/4))","B"
308,1,86,239,4.666985,"\text{Not used}","int(1/(x^(1/2)*(a + b*x^2)^3),x)","\frac{\frac{11\,\sqrt{x}}{16\,a}+\frac{7\,b\,x^{5/2}}{16\,a^2}}{a^2+2\,a\,b\,x^2+b^2\,x^4}-\frac{21\,\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{11/4}\,b^{1/4}}-\frac{21\,\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{{\left(-a\right)}^{1/4}}\right)}{32\,{\left(-a\right)}^{11/4}\,b^{1/4}}","Not used",1,"((11*x^(1/2))/(16*a) + (7*b*x^(5/2))/(16*a^2))/(a^2 + b^2*x^4 + 2*a*b*x^2) - (21*atan((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(11/4)*b^(1/4)) - (21*atanh((b^(1/4)*x^(1/2))/(-a)^(1/4)))/(32*(-a)^(11/4)*b^(1/4))","B"
309,1,99,251,0.102434,"\text{Not used}","int(1/(x^(3/2)*(a + b*x^2)^3),x)","\frac{45\,{\left(-b\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{32\,a^{13/4}}-\frac{45\,{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{32\,a^{13/4}}-\frac{\frac{2}{a}+\frac{81\,b\,x^2}{16\,a^2}+\frac{45\,b^2\,x^4}{16\,a^3}}{a^2\,\sqrt{x}+b^2\,x^{9/2}+2\,a\,b\,x^{5/2}}","Not used",1,"(45*(-b)^(1/4)*atanh(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(32*a^(13/4)) - (45*(-b)^(1/4)*atan(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(32*a^(13/4)) - (2/a + (81*b*x^2)/(16*a^2) + (45*b^2*x^4)/(16*a^3))/(a^2*x^(1/2) + b^2*x^(9/2) + 2*a*b*x^(5/2))","B"
310,1,99,251,4.656720,"\text{Not used}","int(1/(x^(5/2)*(a + b*x^2)^3),x)","\frac{77\,{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{32\,a^{15/4}}-\frac{\frac{2}{3\,a}+\frac{121\,b\,x^2}{48\,a^2}+\frac{77\,b^2\,x^4}{48\,a^3}}{a^2\,x^{3/2}+b^2\,x^{11/2}+2\,a\,b\,x^{7/2}}+\frac{77\,{\left(-b\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{32\,a^{15/4}}","Not used",1,"(77*(-b)^(3/4)*atan(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(32*a^(15/4)) - (2/(3*a) + (121*b*x^2)/(48*a^2) + (77*b^2*x^4)/(48*a^3))/(a^2*x^(3/2) + b^2*x^(11/2) + 2*a*b*x^(7/2)) + (77*(-b)^(3/4)*atanh(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(32*a^(15/4))","B"
311,1,109,264,4.648122,"\text{Not used}","int(1/(x^(7/2)*(a + b*x^2)^3),x)","\frac{\frac{26\,b\,x^2}{5\,a^2}-\frac{2}{5\,a}+\frac{1053\,b^2\,x^4}{80\,a^3}+\frac{117\,b^3\,x^6}{16\,a^4}}{a^2\,x^{5/2}+b^2\,x^{13/2}+2\,a\,b\,x^{9/2}}-\frac{117\,{\left(-b\right)}^{5/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{32\,a^{17/4}}+\frac{117\,{\left(-b\right)}^{5/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{32\,a^{17/4}}","Not used",1,"((26*b*x^2)/(5*a^2) - 2/(5*a) + (1053*b^2*x^4)/(80*a^3) + (117*b^3*x^6)/(16*a^4))/(a^2*x^(5/2) + b^2*x^(13/2) + 2*a*b*x^(9/2)) - (117*(-b)^(5/4)*atan(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(32*a^(17/4)) + (117*(-b)^(5/4)*atanh(((-b)^(1/4)*x^(1/2))/a^(1/4)))/(32*a^(17/4))","B"
312,1,33,58,0.082508,"\text{Not used}","int(x^(1/2)/(a - b*x^2),x)","-\frac{\mathrm{atan}\left(\frac{b^{1/4}\,\sqrt{x}}{a^{1/4}}\right)-\mathrm{atanh}\left(\frac{b^{1/4}\,\sqrt{x}}{a^{1/4}}\right)}{a^{1/4}\,b^{3/4}}","Not used",1,"-(atan((b^(1/4)*x^(1/2))/a^(1/4)) - atanh((b^(1/4)*x^(1/2))/a^(1/4)))/(a^(1/4)*b^(3/4))","B"
313,1,47,108,0.079179,"\text{Not used}","int(x^(7/2)/(x^2 + 1),x)","\frac{2\,x^{5/2}}{5}-2\,\sqrt{x}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/2 + 1i/2) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/2 - 1i/2) - 2*x^(1/2) + (2*x^(5/2))/5","B"
314,1,42,101,0.043747,"\text{Not used}","int(x^(5/2)/(x^2 + 1),x)","\frac{2\,x^{3/2}}{3}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"(2*x^(3/2))/3 - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/2 + 1i/2) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/2 - 1i/2)","B"
315,1,42,99,0.040602,"\text{Not used}","int(x^(3/2)/(x^2 + 1),x)","2\,\sqrt{x}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"2*x^(1/2) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/2 - 1i/2) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/2 + 1i/2)","B"
316,1,37,92,0.036685,"\text{Not used}","int(x^(1/2)/(x^2 + 1),x)","\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/2 - 1i/2) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/2 + 1i/2)","B"
317,1,37,92,0.026514,"\text{Not used}","int(1/(x^(1/2)*(x^2 + 1)),x)","\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/2 + 1i/2) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/2 - 1i/2)","B"
318,1,42,99,0.037152,"\text{Not used}","int(1/(x^(3/2)*(x^2 + 1)),x)","-\frac{2}{\sqrt{x}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"- 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/2 - 1i/2) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/2 + 1i/2) - 2/x^(1/2)","B"
319,1,42,101,0.038527,"\text{Not used}","int(1/(x^(5/2)*(x^2 + 1)),x)","-\frac{2}{3\,x^{3/2}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"- 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/2 + 1i/2) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/2 - 1i/2) - 2/(3*x^(3/2))","B"
320,1,48,108,0.039892,"\text{Not used}","int(1/(x^(7/2)*(x^2 + 1)),x)","\frac{2\,x^2-\frac{2}{5}}{x^{5/2}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/2 - 1i/2) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/2 + 1i/2) + (2*x^2 - 2/5)/x^(5/2)","B"
321,1,55,122,4.616996,"\text{Not used}","int(x^(7/2)/(x^2 + 1)^2,x)","\frac{\sqrt{x}}{2\,\left(x^2+1\right)}+2\,\sqrt{x}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{8}-\frac{5}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{8}+\frac{5}{8}{}\mathrm{i}\right)","Not used",1,"x^(1/2)/(2*(x^2 + 1)) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(5/8 - 5i/8) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(5/8 + 5i/8) + 2*x^(1/2)","B"
322,1,51,113,4.623103,"\text{Not used}","int(x^(5/2)/(x^2 + 1)^2,x)","-\frac{x^{3/2}}{2\,\left(x^2+1\right)}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{8}-\frac{3}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{8}+\frac{3}{8}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(3/8 - 3i/8) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(3/8 + 3i/8) - x^(3/2)/(2*(x^2 + 1))","B"
323,1,51,113,4.676797,"\text{Not used}","int(x^(3/2)/(x^2 + 1)^2,x)","-\frac{\sqrt{x}}{2\,\left(x^2+1\right)}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/8 + 1i/8) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/8 - 1i/8) - x^(1/2)/(2*(x^2 + 1))","B"
324,1,50,113,0.035027,"\text{Not used}","int(x^(1/2)/(x^2 + 1)^2,x)","\frac{x^{3/2}}{2\,\left(x^2+1\right)}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/8 - 1i/8) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/8 + 1i/8) + x^(3/2)/(2*(x^2 + 1))","B"
325,1,50,113,4.663390,"\text{Not used}","int(1/(x^(1/2)*(x^2 + 1)^2),x)","\frac{\sqrt{x}}{2\,\left(x^2+1\right)}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{8}+\frac{3}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{8}-\frac{3}{8}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(3/8 + 3i/8) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(3/8 - 3i/8) + x^(1/2)/(2*(x^2 + 1))","B"
326,1,55,122,4.676999,"\text{Not used}","int(1/(x^(3/2)*(x^2 + 1)^2),x)","-\frac{\frac{5\,x^2}{2}+2}{\sqrt{x}+x^{5/2}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{8}+\frac{5}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{8}-\frac{5}{8}{}\mathrm{i}\right)","Not used",1,"- ((5*x^2)/2 + 2)/(x^(1/2) + x^(5/2)) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(5/8 - 5i/8) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(5/8 + 5i/8)","B"
327,1,55,122,0.077187,"\text{Not used}","int(1/(x^(5/2)*(x^2 + 1)^2),x)","-\frac{\frac{7\,x^2}{6}+\frac{2}{3}}{x^{3/2}+x^{7/2}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{7}{8}-\frac{7}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{7}{8}+\frac{7}{8}{}\mathrm{i}\right)","Not used",1,"- ((7*x^2)/6 + 2/3)/(x^(3/2) + x^(7/2)) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(7/8 + 7i/8) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(7/8 - 7i/8)","B"
328,1,59,131,0.069709,"\text{Not used}","int(1/(x^(7/2)*(x^2 + 1)^2),x)","\frac{\frac{9\,x^4}{2}+\frac{18\,x^2}{5}-\frac{2}{5}}{x^{5/2}+x^{9/2}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{9}{8}-\frac{9}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{9}{8}+\frac{9}{8}{}\mathrm{i}\right)","Not used",1,"((18*x^2)/5 + (9*x^4)/2 - 2/5)/(x^(5/2) + x^(9/2)) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(9/8 - 9i/8) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(9/8 + 9i/8)","B"
329,1,62,129,4.733032,"\text{Not used}","int(x^(7/2)/(x^2 + 1)^3,x)","-\frac{\frac{5\,\sqrt{x}}{16}+\frac{9\,x^{5/2}}{16}}{x^4+2\,x^2+1}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{5}{64}+\frac{5}{64}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{5}{64}-\frac{5}{64}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(5/64 + 5i/64) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(5/64 - 5i/64) - ((5*x^(1/2))/16 + (9*x^(5/2))/16)/(2*x^2 + x^4 + 1)","B"
330,1,62,129,0.065675,"\text{Not used}","int(x^(5/2)/(x^2 + 1)^3,x)","-\frac{\frac{x^{3/2}}{16}-\frac{3\,x^{7/2}}{16}}{x^4+2\,x^2+1}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{64}-\frac{3}{64}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{64}+\frac{3}{64}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(3/64 - 3i/64) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(3/64 + 3i/64) - (x^(3/2)/16 - (3*x^(7/2))/16)/(2*x^2 + x^4 + 1)","B"
331,1,62,129,4.686821,"\text{Not used}","int(x^(3/2)/(x^2 + 1)^3,x)","-\frac{\frac{3\,\sqrt{x}}{16}-\frac{x^{5/2}}{16}}{x^4+2\,x^2+1}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{64}+\frac{3}{64}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{64}-\frac{3}{64}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(3/64 + 3i/64) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(3/64 - 3i/64) - ((3*x^(1/2))/16 - x^(5/2)/16)/(2*x^2 + x^4 + 1)","B"
332,1,61,129,0.037319,"\text{Not used}","int(x^(1/2)/(x^2 + 1)^3,x)","\frac{\frac{9\,x^{3/2}}{16}+\frac{5\,x^{7/2}}{16}}{x^4+2\,x^2+1}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{5}{64}-\frac{5}{64}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{5}{64}+\frac{5}{64}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(5/64 - 5i/64) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(5/64 + 5i/64) + ((9*x^(3/2))/16 + (5*x^(7/2))/16)/(2*x^2 + x^4 + 1)","B"
333,1,61,129,4.749581,"\text{Not used}","int(1/(x^(1/2)*(x^2 + 1)^3),x)","\frac{\frac{11\,\sqrt{x}}{16}+\frac{7\,x^{5/2}}{16}}{x^4+2\,x^2+1}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{21}{64}+\frac{21}{64}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{21}{64}-\frac{21}{64}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(21/64 + 21i/64) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(21/64 - 21i/64) + ((11*x^(1/2))/16 + (7*x^(5/2))/16)/(2*x^2 + x^4 + 1)","B"
334,1,65,138,4.717802,"\text{Not used}","int(1/(x^(3/2)*(x^2 + 1)^3),x)","-\frac{\frac{45\,x^4}{16}+\frac{81\,x^2}{16}+2}{\sqrt{x}+2\,x^{5/2}+x^{9/2}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{45}{64}+\frac{45}{64}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{45}{64}-\frac{45}{64}{}\mathrm{i}\right)","Not used",1,"- 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(45/64 - 45i/64) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(45/64 + 45i/64) - ((81*x^2)/16 + (45*x^4)/16 + 2)/(x^(1/2) + 2*x^(5/2) + x^(9/2))","B"
335,1,65,138,4.720526,"\text{Not used}","int(1/(x^(5/2)*(x^2 + 1)^3),x)","-\frac{\frac{77\,x^4}{48}+\frac{121\,x^2}{48}+\frac{2}{3}}{x^{3/2}+2\,x^{7/2}+x^{11/2}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{77}{64}-\frac{77}{64}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{77}{64}+\frac{77}{64}{}\mathrm{i}\right)","Not used",1,"- 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(77/64 + 77i/64) - 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(77/64 - 77i/64) - ((121*x^2)/48 + (77*x^4)/48 + 2/3)/(x^(3/2) + 2*x^(7/2) + x^(11/2))","B"
336,1,69,147,0.074824,"\text{Not used}","int(1/(x^(7/2)*(x^2 + 1)^3),x)","\frac{\frac{117\,x^6}{16}+\frac{1053\,x^4}{80}+\frac{26\,x^2}{5}-\frac{2}{5}}{x^{5/2}+2\,x^{9/2}+x^{13/2}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{117}{64}-\frac{117}{64}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{117}{64}+\frac{117}{64}{}\mathrm{i}\right)","Not used",1,"((26*x^2)/5 + (1053*x^4)/80 + (117*x^6)/16 - 2/5)/(x^(5/2) + 2*x^(9/2) + x^(13/2)) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(117/64 - 117i/64) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(117/64 + 117i/64)","B"
337,1,11,15,0.032129,"\text{Not used}","int(-x^(1/2)/(x^2 - 1),x)","\mathrm{atanh}\left(\sqrt{x}\right)-\mathrm{atan}\left(\sqrt{x}\right)","Not used",1,"atanh(x^(1/2)) - atan(x^(1/2))","B"
338,1,57,73,4.766692,"\text{Not used}","int(x^(2/3)/(x^2 + 1),x)","\mathrm{atan}\left(x^{1/3}\right)-\mathrm{atan}\left(\frac{486\,x^{1/3}}{-243+\sqrt{3}\,243{}\mathrm{i}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-\mathrm{atan}\left(\frac{486\,x^{1/3}}{243+\sqrt{3}\,243{}\mathrm{i}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)","Not used",1,"atan(x^(1/3)) - atan((486*x^(1/3))/(3^(1/2)*243i - 243))*((3^(1/2)*1i)/2 + 1/2) - atan((486*x^(1/3))/(3^(1/2)*243i + 243))*((3^(1/2)*1i)/2 - 1/2)","B"
339,1,389,97,5.113346,"\text{Not used}","int(x^m*(a + b*x^2)^5,x)","\frac{a^5\,x\,x^m\,\left(m^5+35\,m^4+470\,m^3+3010\,m^2+9129\,m+10395\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{b^5\,x^m\,x^{11}\,\left(m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{5\,a\,b^4\,x^m\,x^9\,\left(m^5+27\,m^4+262\,m^3+1122\,m^2+2041\,m+1155\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{5\,a^4\,b\,x^m\,x^3\,\left(m^5+33\,m^4+406\,m^3+2262\,m^2+5353\,m+3465\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{10\,a^2\,b^3\,x^m\,x^7\,\left(m^5+29\,m^4+302\,m^3+1366\,m^2+2577\,m+1485\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}+\frac{10\,a^3\,b^2\,x^m\,x^5\,\left(m^5+31\,m^4+350\,m^3+1730\,m^2+3489\,m+2079\right)}{m^6+36\,m^5+505\,m^4+3480\,m^3+12139\,m^2+19524\,m+10395}","Not used",1,"(a^5*x*x^m*(9129*m + 3010*m^2 + 470*m^3 + 35*m^4 + m^5 + 10395))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (b^5*x^m*x^11*(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (5*a*b^4*x^m*x^9*(2041*m + 1122*m^2 + 262*m^3 + 27*m^4 + m^5 + 1155))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (5*a^4*b*x^m*x^3*(5353*m + 2262*m^2 + 406*m^3 + 33*m^4 + m^5 + 3465))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (10*a^2*b^3*x^m*x^7*(2577*m + 1366*m^2 + 302*m^3 + 29*m^4 + m^5 + 1485))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395) + (10*a^3*b^2*x^m*x^5*(3489*m + 1730*m^2 + 350*m^3 + 31*m^4 + m^5 + 2079))/(19524*m + 12139*m^2 + 3480*m^3 + 505*m^4 + 36*m^5 + m^6 + 10395)","B"
340,1,272,79,4.987920,"\text{Not used}","int(x^m*(a + b*x^2)^4,x)","\frac{a^4\,x\,x^m\,\left(m^4+24\,m^3+206\,m^2+744\,m+945\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{b^4\,x^m\,x^9\,\left(m^4+16\,m^3+86\,m^2+176\,m+105\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{6\,a^2\,b^2\,x^m\,x^5\,\left(m^4+20\,m^3+130\,m^2+300\,m+189\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{4\,a\,b^3\,x^m\,x^7\,\left(m^4+18\,m^3+104\,m^2+222\,m+135\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}+\frac{4\,a^3\,b\,x^m\,x^3\,\left(m^4+22\,m^3+164\,m^2+458\,m+315\right)}{m^5+25\,m^4+230\,m^3+950\,m^2+1689\,m+945}","Not used",1,"(a^4*x*x^m*(744*m + 206*m^2 + 24*m^3 + m^4 + 945))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (b^4*x^m*x^9*(176*m + 86*m^2 + 16*m^3 + m^4 + 105))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (6*a^2*b^2*x^m*x^5*(300*m + 130*m^2 + 20*m^3 + m^4 + 189))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (4*a*b^3*x^m*x^7*(222*m + 104*m^2 + 18*m^3 + m^4 + 135))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945) + (4*a^3*b*x^m*x^3*(458*m + 164*m^2 + 22*m^3 + m^4 + 315))/(1689*m + 950*m^2 + 230*m^3 + 25*m^4 + m^5 + 945)","B"
341,1,167,61,4.792944,"\text{Not used}","int(x^m*(a + b*x^2)^3,x)","x^m\,\left(\frac{a^3\,x\,\left(m^3+15\,m^2+71\,m+105\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}+\frac{b^3\,x^7\,\left(m^3+9\,m^2+23\,m+15\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}+\frac{3\,a\,b^2\,x^5\,\left(m^3+11\,m^2+31\,m+21\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}+\frac{3\,a^2\,b\,x^3\,\left(m^3+13\,m^2+47\,m+35\right)}{m^4+16\,m^3+86\,m^2+176\,m+105}\right)","Not used",1,"x^m*((a^3*x*(71*m + 15*m^2 + m^3 + 105))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105) + (b^3*x^7*(23*m + 9*m^2 + m^3 + 15))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105) + (3*a*b^2*x^5*(31*m + 11*m^2 + m^3 + 21))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105) + (3*a^2*b*x^3*(47*m + 13*m^2 + m^3 + 35))/(176*m + 86*m^2 + 16*m^3 + m^4 + 105))","B"
342,1,93,43,4.751404,"\text{Not used}","int(x^m*(a + b*x^2)^2,x)","x^m\,\left(\frac{a^2\,x\,\left(m^2+8\,m+15\right)}{m^3+9\,m^2+23\,m+15}+\frac{b^2\,x^5\,\left(m^2+4\,m+3\right)}{m^3+9\,m^2+23\,m+15}+\frac{2\,a\,b\,x^3\,\left(m^2+6\,m+5\right)}{m^3+9\,m^2+23\,m+15}\right)","Not used",1,"x^m*((a^2*x*(8*m + m^2 + 15))/(23*m + 9*m^2 + m^3 + 15) + (b^2*x^5*(4*m + m^2 + 3))/(23*m + 9*m^2 + m^3 + 15) + (2*a*b*x^3*(6*m + m^2 + 5))/(23*m + 9*m^2 + m^3 + 15))","B"
343,1,34,25,4.800783,"\text{Not used}","int(x^m*(a + b*x^2),x)","\frac{x^{m+1}\,\left(3\,a+a\,m+b\,x^2+b\,m\,x^2\right)}{m^2+4\,m+3}","Not used",1,"(x^(m + 1)*(3*a + a*m + b*x^2 + b*m*x^2))/(4*m + m^2 + 3)","B"
344,0,-1,39,0.000000,"\text{Not used}","int(x^m/(a + b*x^2),x)","\int \frac{x^m}{b\,x^2+a} \,d x","Not used",1,"int(x^m/(a + b*x^2), x)","F"
345,0,-1,39,0.000000,"\text{Not used}","int(x^m/(a + b*x^2)^2,x)","\int \frac{x^m}{{\left(b\,x^2+a\right)}^2} \,d x","Not used",1,"int(x^m/(a + b*x^2)^2, x)","F"
346,0,-1,39,0.000000,"\text{Not used}","int(x^m/(a + b*x^2)^3,x)","\int \frac{x^m}{{\left(b\,x^2+a\right)}^3} \,d x","Not used",1,"int(x^m/(a + b*x^2)^3, x)","F"
347,0,-1,44,0.000000,"\text{Not used}","int((c*x)^(m + 1)/(a + b*x^2),x)","\int \frac{{\left(c\,x\right)}^{m+1}}{b\,x^2+a} \,d x","Not used",1,"int((c*x)^(m + 1)/(a + b*x^2), x)","F"
348,0,-1,44,0.000000,"\text{Not used}","int((c*x)^m/(a + b*x^2),x)","\int \frac{{\left(c\,x\right)}^m}{b\,x^2+a} \,d x","Not used",1,"int((c*x)^m/(a + b*x^2), x)","F"
349,0,-1,38,0.000000,"\text{Not used}","int((c*x)^(m - 1)/(a + b*x^2),x)","\int \frac{{\left(c\,x\right)}^{m-1}}{b\,x^2+a} \,d x","Not used",1,"int((c*x)^(m - 1)/(a + b*x^2), x)","F"
350,0,-1,47,0.000000,"\text{Not used}","int((c*x)^(m - 2)/(a + b*x^2),x)","\int \frac{{\left(c\,x\right)}^{m-2}}{b\,x^2+a} \,d x","Not used",1,"int((c*x)^(m - 2)/(a + b*x^2), x)","F"
351,0,-1,45,0.000000,"\text{Not used}","int((c*x)^(m - 3)/(a + b*x^2),x)","\int \frac{{\left(c\,x\right)}^{m-3}}{b\,x^2+a} \,d x","Not used",1,"int((c*x)^(m - 3)/(a + b*x^2), x)","F"
352,0,-1,36,0.000000,"\text{Not used}","int(x^m/((a*x^2)/b + 1)^2,x)","\int \frac{x^m}{{\left(\frac{a\,x^2}{b}+1\right)}^2} \,d x","Not used",1,"int(x^m/((a*x^2)/b + 1)^2, x)","F"
353,1,55,80,4.586970,"\text{Not used}","int(x^7*(a + b*x^2)^(1/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{x^8}{9}-\frac{16\,a^4}{315\,b^4}+\frac{a\,x^6}{63\,b}-\frac{2\,a^2\,x^4}{105\,b^2}+\frac{8\,a^3\,x^2}{315\,b^3}\right)","Not used",1,"(a + b*x^2)^(1/2)*(x^8/9 - (16*a^4)/(315*b^4) + (a*x^6)/(63*b) - (2*a^2*x^4)/(105*b^2) + (8*a^3*x^2)/(315*b^3))","B"
354,1,44,59,4.658557,"\text{Not used}","int(x^5*(a + b*x^2)^(1/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{x^6}{7}+\frac{8\,a^3}{105\,b^3}+\frac{a\,x^4}{35\,b}-\frac{4\,a^2\,x^2}{105\,b^2}\right)","Not used",1,"(a + b*x^2)^(1/2)*(x^6/7 + (8*a^3)/(105*b^3) + (a*x^4)/(35*b) - (4*a^2*x^2)/(105*b^2))","B"
355,1,33,38,4.649924,"\text{Not used}","int(x^3*(a + b*x^2)^(1/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{x^4}{5}-\frac{2\,a^2}{15\,b^2}+\frac{a\,x^2}{15\,b}\right)","Not used",1,"(a + b*x^2)^(1/2)*(x^4/5 - (2*a^2)/(15*b^2) + (a*x^2)/(15*b))","B"
356,1,14,18,4.626725,"\text{Not used}","int(x*(a + b*x^2)^(1/2),x)","\frac{{\left(b\,x^2+a\right)}^{3/2}}{3\,b}","Not used",1,"(a + b*x^2)^(3/2)/(3*b)","B"
357,1,29,37,4.658333,"\text{Not used}","int((a + b*x^2)^(1/2)/x,x)","\sqrt{b\,x^2+a}-\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)","Not used",1,"(a + b*x^2)^(1/2) - a^(1/2)*atanh((a + b*x^2)^(1/2)/a^(1/2))","B"
358,1,35,47,4.795134,"\text{Not used}","int((a + b*x^2)^(1/2)/x^3,x)","-\frac{\sqrt{b\,x^2+a}}{2\,x^2}-\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{2\,\sqrt{a}}","Not used",1,"- (a + b*x^2)^(1/2)/(2*x^2) - (b*atanh((a + b*x^2)^(1/2)/a^(1/2)))/(2*a^(1/2))","B"
359,1,54,71,4.909988,"\text{Not used}","int((a + b*x^2)^(1/2)/x^5,x)","\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{8\,a^{3/2}}-\frac{\sqrt{b\,x^2+a}}{8\,x^4}-\frac{{\left(b\,x^2+a\right)}^{3/2}}{8\,a\,x^4}","Not used",1,"(b^2*atanh((a + b*x^2)^(1/2)/a^(1/2)))/(8*a^(3/2)) - (a + b*x^2)^(1/2)/(8*x^4) - (a + b*x^2)^(3/2)/(8*a*x^4)","B"
360,1,74,95,4.942189,"\text{Not used}","int((a + b*x^2)^(1/2)/x^7,x)","\frac{{\left(b\,x^2+a\right)}^{5/2}}{16\,a^2\,x^6}-\frac{{\left(b\,x^2+a\right)}^{3/2}}{6\,a\,x^6}-\frac{\sqrt{b\,x^2+a}}{16\,x^6}+\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{16\,a^{5/2}}","Not used",1,"(b^3*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*1i)/(16*a^(5/2)) - (a + b*x^2)^(1/2)/(16*x^6) - (a + b*x^2)^(3/2)/(6*a*x^6) + (a + b*x^2)^(5/2)/(16*a^2*x^6)","B"
361,0,-1,94,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(1/2),x)","\int x^4\,\sqrt{b\,x^2+a} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(1/2), x)","F"
362,0,-1,70,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(1/2),x)","\int x^2\,\sqrt{b\,x^2+a} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(1/2), x)","F"
363,1,35,46,4.672845,"\text{Not used}","int((a + b*x^2)^(1/2),x)","\frac{x\,\sqrt{b\,x^2+a}}{2}+\frac{a\,\ln\left(\sqrt{b}\,x+\sqrt{b\,x^2+a}\right)}{2\,\sqrt{b}}","Not used",1,"(x*(a + b*x^2)^(1/2))/2 + (a*log(b^(1/2)*x + (a + b*x^2)^(1/2)))/(2*b^(1/2))","B"
364,1,56,42,4.815948,"\text{Not used}","int((a + b*x^2)^(1/2)/x^2,x)","-\frac{\sqrt{b\,x^2+a}}{x}-\frac{\sqrt{b}\,\mathrm{asin}\left(\frac{\sqrt{b}\,x\,1{}\mathrm{i}}{\sqrt{a}}\right)\,\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}\,\sqrt{\frac{b\,x^2}{a}+1}}","Not used",1,"- (a + b*x^2)^(1/2)/x - (b^(1/2)*asin((b^(1/2)*x*1i)/a^(1/2))*(a + b*x^2)^(1/2)*1i)/(a^(1/2)*((b*x^2)/a + 1)^(1/2))","B"
365,1,17,21,4.566841,"\text{Not used}","int((a + b*x^2)^(1/2)/x^4,x)","-\frac{{\left(b\,x^2+a\right)}^{3/2}}{3\,a\,x^3}","Not used",1,"-(a + b*x^2)^(3/2)/(3*a*x^3)","B"
366,1,37,44,4.767190,"\text{Not used}","int((a + b*x^2)^(1/2)/x^6,x)","-\frac{\sqrt{b\,x^2+a}\,\left(3\,a^2+a\,b\,x^2-2\,b^2\,x^4\right)}{15\,a^2\,x^5}","Not used",1,"-((a + b*x^2)^(1/2)*(3*a^2 - 2*b^2*x^4 + a*b*x^2))/(15*a^2*x^5)","B"
367,1,73,68,4.706693,"\text{Not used}","int((a + b*x^2)^(1/2)/x^8,x)","\frac{4\,b^2\,\sqrt{b\,x^2+a}}{105\,a^2\,x^3}-\frac{b\,\sqrt{b\,x^2+a}}{35\,a\,x^5}-\frac{\sqrt{b\,x^2+a}}{7\,x^7}-\frac{8\,b^3\,\sqrt{b\,x^2+a}}{105\,a^3\,x}","Not used",1,"(4*b^2*(a + b*x^2)^(1/2))/(105*a^2*x^3) - (b*(a + b*x^2)^(1/2))/(35*a*x^5) - (a + b*x^2)^(1/2)/(7*x^7) - (8*b^3*(a + b*x^2)^(1/2))/(105*a^3*x)","B"
368,1,93,92,4.946107,"\text{Not used}","int((a + b*x^2)^(1/2)/x^10,x)","\frac{2\,b^2\,\sqrt{b\,x^2+a}}{105\,a^2\,x^5}-\frac{b\,\sqrt{b\,x^2+a}}{63\,a\,x^7}-\frac{\sqrt{b\,x^2+a}}{9\,x^9}-\frac{8\,b^3\,\sqrt{b\,x^2+a}}{315\,a^3\,x^3}+\frac{16\,b^4\,\sqrt{b\,x^2+a}}{315\,a^4\,x}","Not used",1,"(2*b^2*(a + b*x^2)^(1/2))/(105*a^2*x^5) - (b*(a + b*x^2)^(1/2))/(63*a*x^7) - (a + b*x^2)^(1/2)/(9*x^9) - (8*b^3*(a + b*x^2)^(1/2))/(315*a^3*x^3) + (16*b^4*(a + b*x^2)^(1/2))/(315*a^4*x)","B"
369,1,64,80,4.604348,"\text{Not used}","int(x^7*(a + b*x^2)^(3/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{4\,a\,x^8}{33}+\frac{b\,x^{10}}{11}-\frac{16\,a^5}{1155\,b^4}+\frac{a^2\,x^6}{231\,b}-\frac{2\,a^3\,x^4}{385\,b^2}+\frac{8\,a^4\,x^2}{1155\,b^3}\right)","Not used",1,"(a + b*x^2)^(1/2)*((4*a*x^8)/33 + (b*x^10)/11 - (16*a^5)/(1155*b^4) + (a^2*x^6)/(231*b) - (2*a^3*x^4)/(385*b^2) + (8*a^4*x^2)/(1155*b^3))","B"
370,1,53,59,4.659443,"\text{Not used}","int(x^5*(a + b*x^2)^(3/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{10\,a\,x^6}{63}+\frac{b\,x^8}{9}+\frac{8\,a^4}{315\,b^3}+\frac{a^2\,x^4}{105\,b}-\frac{4\,a^3\,x^2}{315\,b^2}\right)","Not used",1,"(a + b*x^2)^(1/2)*((10*a*x^6)/63 + (b*x^8)/9 + (8*a^4)/(315*b^3) + (a^2*x^4)/(105*b) - (4*a^3*x^2)/(315*b^2))","B"
371,1,42,38,4.637228,"\text{Not used}","int(x^3*(a + b*x^2)^(3/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{8\,a\,x^4}{35}+\frac{b\,x^6}{7}-\frac{2\,a^3}{35\,b^2}+\frac{a^2\,x^2}{35\,b}\right)","Not used",1,"(a + b*x^2)^(1/2)*((8*a*x^4)/35 + (b*x^6)/7 - (2*a^3)/(35*b^2) + (a^2*x^2)/(35*b))","B"
372,1,14,18,4.567361,"\text{Not used}","int(x*(a + b*x^2)^(3/2),x)","\frac{{\left(b\,x^2+a\right)}^{5/2}}{5\,b}","Not used",1,"(a + b*x^2)^(5/2)/(5*b)","B"
373,1,42,54,4.695579,"\text{Not used}","int((a + b*x^2)^(3/2)/x,x)","a\,\sqrt{b\,x^2+a}-a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)+\frac{{\left(b\,x^2+a\right)}^{3/2}}{3}","Not used",1,"a*(a + b*x^2)^(1/2) - a^(3/2)*atanh((a + b*x^2)^(1/2)/a^(1/2)) + (a + b*x^2)^(3/2)/3","B"
374,1,47,63,4.816456,"\text{Not used}","int((a + b*x^2)^(3/2)/x^3,x)","b\,\sqrt{b\,x^2+a}-\frac{a\,\sqrt{b\,x^2+a}}{2\,x^2}-\frac{3\,\sqrt{a}\,b\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{2}","Not used",1,"b*(a + b*x^2)^(1/2) - (a*(a + b*x^2)^(1/2))/(2*x^2) - (3*a^(1/2)*b*atanh((a + b*x^2)^(1/2)/a^(1/2)))/2","B"
375,1,52,68,4.905480,"\text{Not used}","int((a + b*x^2)^(3/2)/x^5,x)","\frac{3\,a\,\sqrt{b\,x^2+a}}{8\,x^4}-\frac{3\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{8\,\sqrt{a}}-\frac{5\,{\left(b\,x^2+a\right)}^{3/2}}{8\,x^4}","Not used",1,"(3*a*(a + b*x^2)^(1/2))/(8*x^4) - (3*b^2*atanh((a + b*x^2)^(1/2)/a^(1/2)))/(8*a^(1/2)) - (5*(a + b*x^2)^(3/2))/(8*x^4)","B"
376,1,72,92,4.941279,"\text{Not used}","int((a + b*x^2)^(3/2)/x^7,x)","\frac{a\,\sqrt{b\,x^2+a}}{16\,x^6}-\frac{{\left(b\,x^2+a\right)}^{3/2}}{6\,x^6}-\frac{{\left(b\,x^2+a\right)}^{5/2}}{16\,a\,x^6}-\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{16\,a^{3/2}}","Not used",1,"(a*(a + b*x^2)^(1/2))/(16*x^6) - (b^3*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*1i)/(16*a^(3/2)) - (a + b*x^2)^(3/2)/(6*x^6) - (a + b*x^2)^(5/2)/(16*a*x^6)","B"
377,1,89,116,5.211775,"\text{Not used}","int((a + b*x^2)^(3/2)/x^9,x)","\frac{3\,a\,\sqrt{b\,x^2+a}}{128\,x^8}-\frac{11\,{\left(b\,x^2+a\right)}^{3/2}}{128\,x^8}-\frac{11\,{\left(b\,x^2+a\right)}^{5/2}}{128\,a\,x^8}+\frac{3\,{\left(b\,x^2+a\right)}^{7/2}}{128\,a^2\,x^8}+\frac{b^4\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,3{}\mathrm{i}}{128\,a^{5/2}}","Not used",1,"(b^4*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*3i)/(128*a^(5/2)) - (11*(a + b*x^2)^(3/2))/(128*x^8) + (3*a*(a + b*x^2)^(1/2))/(128*x^8) - (11*(a + b*x^2)^(5/2))/(128*a*x^8) + (3*(a + b*x^2)^(7/2))/(128*a^2*x^8)","B"
378,0,-1,115,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(3/2),x)","\int x^4\,{\left(b\,x^2+a\right)}^{3/2} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(3/2), x)","F"
379,0,-1,91,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(3/2),x)","\int x^2\,{\left(b\,x^2+a\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(3/2), x)","F"
380,1,37,65,4.608254,"\text{Not used}","int((a + b*x^2)^(3/2),x)","\frac{x\,{\left(b\,x^2+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{3/2}}","Not used",1,"(x*(a + b*x^2)^(3/2)*hypergeom([-3/2, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(3/2)","B"
381,1,40,63,5.152919,"\text{Not used}","int((a + b*x^2)^(3/2)/x^2,x)","-\frac{{\left(b\,x^2+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{b\,x^2}{a}\right)}{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{3/2}}","Not used",1,"-((a + b*x^2)^(3/2)*hypergeom([-3/2, -1/2], 1/2, -(b*x^2)/a))/(x*((b*x^2)/a + 1)^(3/2))","B"
382,0,-1,61,0.000000,"\text{Not used}","int((a + b*x^2)^(3/2)/x^4,x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a + b*x^2)^(3/2)/x^4, x)","F"
383,1,17,21,5.294820,"\text{Not used}","int((a + b*x^2)^(3/2)/x^6,x)","-\frac{{\left(b\,x^2+a\right)}^{5/2}}{5\,a\,x^5}","Not used",1,"-(a + b*x^2)^(5/2)/(5*a*x^5)","B"
384,1,71,44,5.654758,"\text{Not used}","int((a + b*x^2)^(3/2)/x^8,x)","\frac{2\,b^3\,\sqrt{b\,x^2+a}}{35\,a^2\,x}-\frac{8\,b\,\sqrt{b\,x^2+a}}{35\,x^5}-\frac{b^2\,\sqrt{b\,x^2+a}}{35\,a\,x^3}-\frac{a\,\sqrt{b\,x^2+a}}{7\,x^7}","Not used",1,"(2*b^3*(a + b*x^2)^(1/2))/(35*a^2*x) - (8*b*(a + b*x^2)^(1/2))/(35*x^5) - (b^2*(a + b*x^2)^(1/2))/(35*a*x^3) - (a*(a + b*x^2)^(1/2))/(7*x^7)","B"
385,1,91,68,5.709640,"\text{Not used}","int((a + b*x^2)^(3/2)/x^10,x)","\frac{4\,b^3\,\sqrt{b\,x^2+a}}{315\,a^2\,x^3}-\frac{10\,b\,\sqrt{b\,x^2+a}}{63\,x^7}-\frac{b^2\,\sqrt{b\,x^2+a}}{105\,a\,x^5}-\frac{a\,\sqrt{b\,x^2+a}}{9\,x^9}-\frac{8\,b^4\,\sqrt{b\,x^2+a}}{315\,a^3\,x}","Not used",1,"(4*b^3*(a + b*x^2)^(1/2))/(315*a^2*x^3) - (10*b*(a + b*x^2)^(1/2))/(63*x^7) - (b^2*(a + b*x^2)^(1/2))/(105*a*x^5) - (a*(a + b*x^2)^(1/2))/(9*x^9) - (8*b^4*(a + b*x^2)^(1/2))/(315*a^3*x)","B"
386,1,111,92,5.780737,"\text{Not used}","int((a + b*x^2)^(3/2)/x^12,x)","\frac{2\,b^3\,\sqrt{b\,x^2+a}}{385\,a^2\,x^5}-\frac{4\,b\,\sqrt{b\,x^2+a}}{33\,x^9}-\frac{b^2\,\sqrt{b\,x^2+a}}{231\,a\,x^7}-\frac{a\,\sqrt{b\,x^2+a}}{11\,x^{11}}-\frac{8\,b^4\,\sqrt{b\,x^2+a}}{1155\,a^3\,x^3}+\frac{16\,b^5\,\sqrt{b\,x^2+a}}{1155\,a^4\,x}","Not used",1,"(2*b^3*(a + b*x^2)^(1/2))/(385*a^2*x^5) - (4*b*(a + b*x^2)^(1/2))/(33*x^9) - (b^2*(a + b*x^2)^(1/2))/(231*a*x^7) - (a*(a + b*x^2)^(1/2))/(11*x^11) - (8*b^4*(a + b*x^2)^(1/2))/(1155*a^3*x^3) + (16*b^5*(a + b*x^2)^(1/2))/(1155*a^4*x)","B"
387,1,75,80,4.862890,"\text{Not used}","int(x^7*(a + b*x^2)^(5/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{53\,a^2\,x^8}{429}-\frac{16\,a^6}{3003\,b^4}+\frac{b^2\,x^{12}}{13}+\frac{5\,a^3\,x^6}{3003\,b}-\frac{2\,a^4\,x^4}{1001\,b^2}+\frac{8\,a^5\,x^2}{3003\,b^3}+\frac{27\,a\,b\,x^{10}}{143}\right)","Not used",1,"(a + b*x^2)^(1/2)*((53*a^2*x^8)/429 - (16*a^6)/(3003*b^4) + (b^2*x^12)/13 + (5*a^3*x^6)/(3003*b) - (2*a^4*x^4)/(1001*b^2) + (8*a^5*x^2)/(3003*b^3) + (27*a*b*x^10)/143)","B"
388,1,64,59,4.751690,"\text{Not used}","int(x^5*(a + b*x^2)^(5/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{8\,a^5}{693\,b^3}+\frac{113\,a^2\,x^6}{693}+\frac{b^2\,x^{10}}{11}+\frac{a^3\,x^4}{231\,b}-\frac{4\,a^4\,x^2}{693\,b^2}+\frac{23\,a\,b\,x^8}{99}\right)","Not used",1,"(a + b*x^2)^(1/2)*((8*a^5)/(693*b^3) + (113*a^2*x^6)/693 + (b^2*x^10)/11 + (a^3*x^4)/(231*b) - (4*a^4*x^2)/(693*b^2) + (23*a*b*x^8)/99)","B"
389,1,53,38,4.743775,"\text{Not used}","int(x^3*(a + b*x^2)^(5/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{5\,a^2\,x^4}{21}-\frac{2\,a^4}{63\,b^2}+\frac{b^2\,x^8}{9}+\frac{a^3\,x^2}{63\,b}+\frac{19\,a\,b\,x^6}{63}\right)","Not used",1,"(a + b*x^2)^(1/2)*((5*a^2*x^4)/21 - (2*a^4)/(63*b^2) + (b^2*x^8)/9 + (a^3*x^2)/(63*b) + (19*a*b*x^6)/63)","B"
390,1,14,18,4.595132,"\text{Not used}","int(x*(a + b*x^2)^(5/2),x)","\frac{{\left(b\,x^2+a\right)}^{7/2}}{7\,b}","Not used",1,"(a + b*x^2)^(7/2)/(7*b)","B"
391,1,59,72,4.681624,"\text{Not used}","int((a + b*x^2)^(5/2)/x,x)","\frac{a\,{\left(b\,x^2+a\right)}^{3/2}}{3}+\frac{{\left(b\,x^2+a\right)}^{5/2}}{5}+a^2\,\sqrt{b\,x^2+a}+a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}","Not used",1,"a^(5/2)*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*1i + (a*(a + b*x^2)^(3/2))/3 + (a + b*x^2)^(5/2)/5 + a^2*(a + b*x^2)^(1/2)","B"
392,1,66,80,4.948148,"\text{Not used}","int((a + b*x^2)^(5/2)/x^3,x)","\frac{b\,{\left(b\,x^2+a\right)}^{3/2}}{3}-\frac{a^2\,\sqrt{b\,x^2+a}}{2\,x^2}+2\,a\,b\,\sqrt{b\,x^2+a}+\frac{a^{3/2}\,b\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{2}","Not used",1,"(b*(a + b*x^2)^(3/2))/3 - (a^2*(a + b*x^2)^(1/2))/(2*x^2) + (a^(3/2)*b*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*5i)/2 + 2*a*b*(a + b*x^2)^(1/2)","B"
393,1,71,86,5.007139,"\text{Not used}","int((a + b*x^2)^(5/2)/x^5,x)","b^2\,\sqrt{b\,x^2+a}-\frac{9\,a\,{\left(b\,x^2+a\right)}^{3/2}}{8\,x^4}+\frac{7\,a^2\,\sqrt{b\,x^2+a}}{8\,x^4}+\frac{\sqrt{a}\,b^2\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,15{}\mathrm{i}}{8}","Not used",1,"b^2*(a + b*x^2)^(1/2) + (a^(1/2)*b^2*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*15i)/8 - (9*a*(a + b*x^2)^(3/2))/(8*x^4) + (7*a^2*(a + b*x^2)^(1/2))/(8*x^4)","B"
394,1,72,89,5.200588,"\text{Not used}","int((a + b*x^2)^(5/2)/x^7,x)","\frac{5\,a\,{\left(b\,x^2+a\right)}^{3/2}}{6\,x^6}-\frac{11\,{\left(b\,x^2+a\right)}^{5/2}}{16\,x^6}-\frac{5\,a^2\,\sqrt{b\,x^2+a}}{16\,x^6}+\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{16\,\sqrt{a}}","Not used",1,"(b^3*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*5i)/(16*a^(1/2)) - (11*(a + b*x^2)^(5/2))/(16*x^6) + (5*a*(a + b*x^2)^(3/2))/(6*x^6) - (5*a^2*(a + b*x^2)^(1/2))/(16*x^6)","B"
395,1,89,113,5.429629,"\text{Not used}","int((a + b*x^2)^(5/2)/x^9,x)","\frac{55\,a\,{\left(b\,x^2+a\right)}^{3/2}}{384\,x^8}-\frac{73\,{\left(b\,x^2+a\right)}^{5/2}}{384\,x^8}-\frac{5\,a^2\,\sqrt{b\,x^2+a}}{128\,x^8}-\frac{5\,{\left(b\,x^2+a\right)}^{7/2}}{128\,a\,x^8}-\frac{b^4\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{128\,a^{3/2}}","Not used",1,"(55*a*(a + b*x^2)^(3/2))/(384*x^8) - (b^4*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*5i)/(128*a^(3/2)) - (73*(a + b*x^2)^(5/2))/(384*x^8) - (5*a^2*(a + b*x^2)^(1/2))/(128*x^8) - (5*(a + b*x^2)^(7/2))/(128*a*x^8)","B"
396,1,106,137,5.678456,"\text{Not used}","int((a + b*x^2)^(5/2)/x^11,x)","\frac{7\,a\,{\left(b\,x^2+a\right)}^{3/2}}{128\,x^{10}}-\frac{{\left(b\,x^2+a\right)}^{5/2}}{10\,x^{10}}-\frac{3\,a^2\,\sqrt{b\,x^2+a}}{256\,x^{10}}-\frac{7\,{\left(b\,x^2+a\right)}^{7/2}}{128\,a\,x^{10}}+\frac{3\,{\left(b\,x^2+a\right)}^{9/2}}{256\,a^2\,x^{10}}+\frac{b^5\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,3{}\mathrm{i}}{256\,a^{5/2}}","Not used",1,"(b^5*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*3i)/(256*a^(5/2)) - (a + b*x^2)^(5/2)/(10*x^10) + (7*a*(a + b*x^2)^(3/2))/(128*x^10) - (3*a^2*(a + b*x^2)^(1/2))/(256*x^10) - (7*(a + b*x^2)^(7/2))/(128*a*x^10) + (3*(a + b*x^2)^(9/2))/(256*a^2*x^10)","B"
397,0,-1,136,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(5/2),x)","\int x^4\,{\left(b\,x^2+a\right)}^{5/2} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(5/2), x)","F"
398,0,-1,112,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(5/2),x)","\int x^2\,{\left(b\,x^2+a\right)}^{5/2} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(5/2), x)","F"
399,1,37,84,4.460499,"\text{Not used}","int((a + b*x^2)^(5/2),x)","\frac{x\,{\left(b\,x^2+a\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{5/2}}","Not used",1,"(x*(a + b*x^2)^(5/2)*hypergeom([-5/2, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(5/2)","B"
400,1,40,83,5.049599,"\text{Not used}","int((a + b*x^2)^(5/2)/x^2,x)","-\frac{{\left(b\,x^2+a\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{b\,x^2}{a}\right)}{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{5/2}}","Not used",1,"-((a + b*x^2)^(5/2)*hypergeom([-5/2, -1/2], 1/2, -(b*x^2)/a))/(x*((b*x^2)/a + 1)^(5/2))","B"
401,0,-1,86,0.000000,"\text{Not used}","int((a + b*x^2)^(5/2)/x^4,x)","\int \frac{{\left(b\,x^2+a\right)}^{5/2}}{x^4} \,d x","Not used",1,"int((a + b*x^2)^(5/2)/x^4, x)","F"
402,0,-1,82,0.000000,"\text{Not used}","int((a + b*x^2)^(5/2)/x^6,x)","\int \frac{{\left(b\,x^2+a\right)}^{5/2}}{x^6} \,d x","Not used",1,"int((a + b*x^2)^(5/2)/x^6, x)","F"
403,1,71,21,5.072676,"\text{Not used}","int((a + b*x^2)^(5/2)/x^8,x)","-\frac{a^2\,\sqrt{b\,x^2+a}}{7\,x^7}-\frac{3\,b^2\,\sqrt{b\,x^2+a}}{7\,x^3}-\frac{b^3\,\sqrt{b\,x^2+a}}{7\,a\,x}-\frac{3\,a\,b\,\sqrt{b\,x^2+a}}{7\,x^5}","Not used",1,"- (a^2*(a + b*x^2)^(1/2))/(7*x^7) - (3*b^2*(a + b*x^2)^(1/2))/(7*x^3) - (b^3*(a + b*x^2)^(1/2))/(7*a*x) - (3*a*b*(a + b*x^2)^(1/2))/(7*x^5)","B"
404,1,91,44,5.368943,"\text{Not used}","int((a + b*x^2)^(5/2)/x^10,x)","\frac{2\,b^4\,\sqrt{b\,x^2+a}}{63\,a^2\,x}-\frac{5\,b^2\,\sqrt{b\,x^2+a}}{21\,x^5}-\frac{b^3\,\sqrt{b\,x^2+a}}{63\,a\,x^3}-\frac{a^2\,\sqrt{b\,x^2+a}}{9\,x^9}-\frac{19\,a\,b\,\sqrt{b\,x^2+a}}{63\,x^7}","Not used",1,"(2*b^4*(a + b*x^2)^(1/2))/(63*a^2*x) - (5*b^2*(a + b*x^2)^(1/2))/(21*x^5) - (b^3*(a + b*x^2)^(1/2))/(63*a*x^3) - (a^2*(a + b*x^2)^(1/2))/(9*x^9) - (19*a*b*(a + b*x^2)^(1/2))/(63*x^7)","B"
405,1,111,68,5.618024,"\text{Not used}","int((a + b*x^2)^(5/2)/x^12,x)","\frac{4\,b^4\,\sqrt{b\,x^2+a}}{693\,a^2\,x^3}-\frac{113\,b^2\,\sqrt{b\,x^2+a}}{693\,x^7}-\frac{b^3\,\sqrt{b\,x^2+a}}{231\,a\,x^5}-\frac{a^2\,\sqrt{b\,x^2+a}}{11\,x^{11}}-\frac{8\,b^5\,\sqrt{b\,x^2+a}}{693\,a^3\,x}-\frac{23\,a\,b\,\sqrt{b\,x^2+a}}{99\,x^9}","Not used",1,"(4*b^4*(a + b*x^2)^(1/2))/(693*a^2*x^3) - (113*b^2*(a + b*x^2)^(1/2))/(693*x^7) - (b^3*(a + b*x^2)^(1/2))/(231*a*x^5) - (a^2*(a + b*x^2)^(1/2))/(11*x^11) - (8*b^5*(a + b*x^2)^(1/2))/(693*a^3*x) - (23*a*b*(a + b*x^2)^(1/2))/(99*x^9)","B"
406,1,131,92,5.981357,"\text{Not used}","int((a + b*x^2)^(5/2)/x^14,x)","\frac{2\,b^4\,\sqrt{b\,x^2+a}}{1001\,a^2\,x^5}-\frac{53\,b^2\,\sqrt{b\,x^2+a}}{429\,x^9}-\frac{5\,b^3\,\sqrt{b\,x^2+a}}{3003\,a\,x^7}-\frac{a^2\,\sqrt{b\,x^2+a}}{13\,x^{13}}-\frac{8\,b^5\,\sqrt{b\,x^2+a}}{3003\,a^3\,x^3}+\frac{16\,b^6\,\sqrt{b\,x^2+a}}{3003\,a^4\,x}-\frac{27\,a\,b\,\sqrt{b\,x^2+a}}{143\,x^{11}}","Not used",1,"(2*b^4*(a + b*x^2)^(1/2))/(1001*a^2*x^5) - (53*b^2*(a + b*x^2)^(1/2))/(429*x^9) - (5*b^3*(a + b*x^2)^(1/2))/(3003*a*x^7) - (a^2*(a + b*x^2)^(1/2))/(13*x^13) - (8*b^5*(a + b*x^2)^(1/2))/(3003*a^3*x^3) + (16*b^6*(a + b*x^2)^(1/2))/(3003*a^4*x) - (27*a*b*(a + b*x^2)^(1/2))/(143*x^11)","B"
407,1,151,116,6.365269,"\text{Not used}","int((a + b*x^2)^(5/2)/x^16,x)","\frac{8\,b^4\,\sqrt{b\,x^2+a}}{9009\,a^2\,x^7}-\frac{71\,b^2\,\sqrt{b\,x^2+a}}{715\,x^{11}}-\frac{b^3\,\sqrt{b\,x^2+a}}{1287\,a\,x^9}-\frac{a^2\,\sqrt{b\,x^2+a}}{15\,x^{15}}-\frac{16\,b^5\,\sqrt{b\,x^2+a}}{15015\,a^3\,x^5}+\frac{64\,b^6\,\sqrt{b\,x^2+a}}{45045\,a^4\,x^3}-\frac{128\,b^7\,\sqrt{b\,x^2+a}}{45045\,a^5\,x}-\frac{31\,a\,b\,\sqrt{b\,x^2+a}}{195\,x^{13}}","Not used",1,"(8*b^4*(a + b*x^2)^(1/2))/(9009*a^2*x^7) - (71*b^2*(a + b*x^2)^(1/2))/(715*x^11) - (b^3*(a + b*x^2)^(1/2))/(1287*a*x^9) - (a^2*(a + b*x^2)^(1/2))/(15*x^15) - (16*b^5*(a + b*x^2)^(1/2))/(15015*a^3*x^5) + (64*b^6*(a + b*x^2)^(1/2))/(45045*a^4*x^3) - (128*b^7*(a + b*x^2)^(1/2))/(45045*a^5*x) - (31*a*b*(a + b*x^2)^(1/2))/(195*x^13)","B"
408,1,171,140,6.869072,"\text{Not used}","int((a + b*x^2)^(5/2)/x^18,x)","\frac{10\,b^4\,\sqrt{b\,x^2+a}}{21879\,a^2\,x^9}-\frac{55\,b^2\,\sqrt{b\,x^2+a}}{663\,x^{13}}-\frac{b^3\,\sqrt{b\,x^2+a}}{2431\,a\,x^{11}}-\frac{a^2\,\sqrt{b\,x^2+a}}{17\,x^{17}}-\frac{80\,b^5\,\sqrt{b\,x^2+a}}{153153\,a^3\,x^7}+\frac{32\,b^6\,\sqrt{b\,x^2+a}}{51051\,a^4\,x^5}-\frac{128\,b^7\,\sqrt{b\,x^2+a}}{153153\,a^5\,x^3}+\frac{256\,b^8\,\sqrt{b\,x^2+a}}{153153\,a^6\,x}-\frac{7\,a\,b\,\sqrt{b\,x^2+a}}{51\,x^{15}}","Not used",1,"(10*b^4*(a + b*x^2)^(1/2))/(21879*a^2*x^9) - (55*b^2*(a + b*x^2)^(1/2))/(663*x^13) - (b^3*(a + b*x^2)^(1/2))/(2431*a*x^11) - (a^2*(a + b*x^2)^(1/2))/(17*x^17) - (80*b^5*(a + b*x^2)^(1/2))/(153153*a^3*x^7) + (32*b^6*(a + b*x^2)^(1/2))/(51051*a^4*x^5) - (128*b^7*(a + b*x^2)^(1/2))/(153153*a^5*x^3) + (256*b^8*(a + b*x^2)^(1/2))/(153153*a^6*x) - (7*a*b*(a + b*x^2)^(1/2))/(51*x^15)","B"
409,1,141,161,4.836960,"\text{Not used}","int(x^15*(a + b*x^2)^(9/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{2321\,a^4\,x^{16}}{37145}-\frac{2048\,a^{12}}{26558675\,b^8}+\frac{b^4\,x^{24}}{25}+\frac{478\,a^3\,b\,x^{18}}{2185}+\frac{101\,a\,b^3\,x^{22}}{575}+\frac{3\,a^5\,x^{14}}{185725\,b}-\frac{42\,a^6\,x^{12}}{2414425\,b^2}+\frac{504\,a^7\,x^{10}}{26558675\,b^3}-\frac{112\,a^8\,x^8}{5311735\,b^4}+\frac{128\,a^9\,x^6}{5311735\,b^5}-\frac{768\,a^{10}\,x^4}{26558675\,b^6}+\frac{1024\,a^{11}\,x^2}{26558675\,b^7}+\frac{168\,a^2\,b^2\,x^{20}}{575}\right)","Not used",1,"(a + b*x^2)^(1/2)*((2321*a^4*x^16)/37145 - (2048*a^12)/(26558675*b^8) + (b^4*x^24)/25 + (478*a^3*b*x^18)/2185 + (101*a*b^3*x^22)/575 + (3*a^5*x^14)/(185725*b) - (42*a^6*x^12)/(2414425*b^2) + (504*a^7*x^10)/(26558675*b^3) - (112*a^8*x^8)/(5311735*b^4) + (128*a^9*x^6)/(5311735*b^5) - (768*a^10*x^4)/(26558675*b^6) + (1024*a^11*x^2)/(26558675*b^7) + (168*a^2*b^2*x^20)/575)","B"
410,1,130,140,4.835504,"\text{Not used}","int(x^13*(a + b*x^2)^(9/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{1024\,a^{11}}{7436429\,b^7}+\frac{3713\,a^4\,x^{14}}{52003}+\frac{b^4\,x^{22}}{23}+\frac{12770\,a^3\,b\,x^{16}}{52003}+\frac{31\,a\,b^3\,x^{20}}{161}+\frac{3\,a^5\,x^{12}}{96577\,b}-\frac{36\,a^6\,x^{10}}{1062347\,b^2}+\frac{40\,a^7\,x^8}{1062347\,b^3}-\frac{320\,a^8\,x^6}{7436429\,b^4}+\frac{384\,a^9\,x^4}{7436429\,b^5}-\frac{512\,a^{10}\,x^2}{7436429\,b^6}+\frac{990\,a^2\,b^2\,x^{18}}{3059}\right)","Not used",1,"(a + b*x^2)^(1/2)*((1024*a^11)/(7436429*b^7) + (3713*a^4*x^14)/52003 + (b^4*x^22)/23 + (12770*a^3*b*x^16)/52003 + (31*a*b^3*x^20)/161 + (3*a^5*x^12)/(96577*b) - (36*a^6*x^10)/(1062347*b^2) + (40*a^7*x^8)/(1062347*b^3) - (320*a^8*x^6)/(7436429*b^4) + (384*a^9*x^4)/(7436429*b^5) - (512*a^10*x^2)/(7436429*b^6) + (990*a^2*b^2*x^18)/3059)","B"
411,1,119,122,4.809372,"\text{Not used}","int(x^11*(a + b*x^2)^(9/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{1049\,a^4\,x^{12}}{12597}-\frac{256\,a^{10}}{969969\,b^6}+\frac{b^4\,x^{20}}{21}+\frac{1898\,a^3\,b\,x^{14}}{6783}+\frac{85\,a\,b^3\,x^{18}}{399}+\frac{3\,a^5\,x^{10}}{46189\,b}-\frac{10\,a^6\,x^8}{138567\,b^2}+\frac{80\,a^7\,x^6}{969969\,b^3}-\frac{32\,a^8\,x^4}{323323\,b^4}+\frac{128\,a^9\,x^2}{969969\,b^5}+\frac{820\,a^2\,b^2\,x^{16}}{2261}\right)","Not used",1,"(a + b*x^2)^(1/2)*((1049*a^4*x^12)/12597 - (256*a^10)/(969969*b^6) + (b^4*x^20)/21 + (1898*a^3*b*x^14)/6783 + (85*a*b^3*x^18)/399 + (3*a^5*x^10)/(46189*b) - (10*a^6*x^8)/(138567*b^2) + (80*a^7*x^6)/(969969*b^3) - (32*a^8*x^4)/(323323*b^4) + (128*a^9*x^2)/(969969*b^5) + (820*a^2*b^2*x^16)/2261)","B"
412,1,108,101,4.740913,"\text{Not used}","int(x^9*(a + b*x^2)^(9/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{128\,a^9}{230945\,b^5}+\frac{23063\,a^4\,x^{10}}{230945}+\frac{b^4\,x^{18}}{19}+\frac{6826\,a^3\,b\,x^{12}}{20995}+\frac{77\,a\,b^3\,x^{16}}{323}+\frac{7\,a^5\,x^8}{46189\,b}-\frac{8\,a^6\,x^6}{46189\,b^2}+\frac{48\,a^7\,x^4}{230945\,b^3}-\frac{64\,a^8\,x^2}{230945\,b^4}+\frac{666\,a^2\,b^2\,x^{14}}{1615}\right)","Not used",1,"(a + b*x^2)^(1/2)*((128*a^9)/(230945*b^5) + (23063*a^4*x^10)/230945 + (b^4*x^18)/19 + (6826*a^3*b*x^12)/20995 + (77*a*b^3*x^16)/323 + (7*a^5*x^8)/(46189*b) - (8*a^6*x^6)/(46189*b^2) + (48*a^7*x^4)/(230945*b^3) - (64*a^8*x^2)/(230945*b^4) + (666*a^2*b^2*x^14)/1615)","B"
413,1,97,80,4.734580,"\text{Not used}","int(x^7*(a + b*x^2)^(9/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{303\,a^4\,x^8}{2431}-\frac{16\,a^8}{12155\,b^4}+\frac{b^4\,x^{16}}{17}+\frac{4714\,a^3\,b\,x^{10}}{12155}+\frac{23\,a\,b^3\,x^{14}}{85}+\frac{a^5\,x^6}{2431\,b}-\frac{6\,a^6\,x^4}{12155\,b^2}+\frac{8\,a^7\,x^2}{12155\,b^3}+\frac{528\,a^2\,b^2\,x^{12}}{1105}\right)","Not used",1,"(a + b*x^2)^(1/2)*((303*a^4*x^8)/2431 - (16*a^8)/(12155*b^4) + (b^4*x^16)/17 + (4714*a^3*b*x^10)/12155 + (23*a*b^3*x^14)/85 + (a^5*x^6)/(2431*b) - (6*a^6*x^4)/(12155*b^2) + (8*a^7*x^2)/(12155*b^3) + (528*a^2*b^2*x^12)/1105)","B"
414,1,86,59,4.599752,"\text{Not used}","int(x^5*(a + b*x^2)^(9/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{8\,a^7}{2145\,b^3}+\frac{71\,a^4\,x^6}{429}+\frac{b^4\,x^{14}}{15}+\frac{206\,a^3\,b\,x^8}{429}+\frac{61\,a\,b^3\,x^{12}}{195}+\frac{a^5\,x^4}{715\,b}-\frac{4\,a^6\,x^2}{2145\,b^2}+\frac{406\,a^2\,b^2\,x^{10}}{715}\right)","Not used",1,"(a + b*x^2)^(1/2)*((8*a^7)/(2145*b^3) + (71*a^4*x^6)/429 + (b^4*x^14)/15 + (206*a^3*b*x^8)/429 + (61*a*b^3*x^12)/195 + (a^5*x^4)/(715*b) - (4*a^6*x^2)/(2145*b^2) + (406*a^2*b^2*x^10)/715)","B"
415,1,29,38,4.739352,"\text{Not used}","int(x^3*(a + b*x^2)^(9/2),x)","-\frac{13\,a\,{\left(b\,x^2+a\right)}^{11/2}-11\,{\left(b\,x^2+a\right)}^{13/2}}{143\,b^2}","Not used",1,"-(13*a*(a + b*x^2)^(11/2) - 11*(a + b*x^2)^(13/2))/(143*b^2)","B"
416,1,14,18,4.812772,"\text{Not used}","int(x*(a + b*x^2)^(9/2),x)","\frac{{\left(b\,x^2+a\right)}^{11/2}}{11\,b}","Not used",1,"(a + b*x^2)^(11/2)/(11*b)","B"
417,1,87,108,5.309172,"\text{Not used}","int((a + b*x^2)^(9/2)/x,x)","\frac{a\,{\left(b\,x^2+a\right)}^{7/2}}{7}+\frac{{\left(b\,x^2+a\right)}^{9/2}}{9}+a^4\,\sqrt{b\,x^2+a}+\frac{a^3\,{\left(b\,x^2+a\right)}^{3/2}}{3}+\frac{a^2\,{\left(b\,x^2+a\right)}^{5/2}}{5}+a^{9/2}\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}","Not used",1,"a^(9/2)*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*1i + (a*(a + b*x^2)^(7/2))/7 + (a + b*x^2)^(9/2)/9 + a^4*(a + b*x^2)^(1/2) + (a^3*(a + b*x^2)^(3/2))/3 + (a^2*(a + b*x^2)^(5/2))/5","B"
418,1,95,118,5.445106,"\text{Not used}","int((a + b*x^2)^(9/2)/x^3,x)","\frac{b\,{\left(b\,x^2+a\right)}^{7/2}}{7}+4\,a^3\,b\,\sqrt{b\,x^2+a}+a^2\,b\,{\left(b\,x^2+a\right)}^{3/2}-\frac{a^4\,\sqrt{b\,x^2+a}}{2\,x^2}+\frac{2\,a\,b\,{\left(b\,x^2+a\right)}^{5/2}}{5}+\frac{a^{7/2}\,b\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,9{}\mathrm{i}}{2}","Not used",1,"(b*(a + b*x^2)^(7/2))/7 + 4*a^3*b*(a + b*x^2)^(1/2) + a^2*b*(a + b*x^2)^(3/2) - (a^4*(a + b*x^2)^(1/2))/(2*x^2) + (a^(7/2)*b*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*9i)/2 + (2*a*b*(a + b*x^2)^(5/2))/5","B"
419,1,132,126,5.650992,"\text{Not used}","int((a + b*x^2)^(9/2)/x^5,x)","\frac{\frac{15\,a^4\,b^2\,\sqrt{b\,x^2+a}}{8}-\frac{17\,a^3\,b^2\,{\left(b\,x^2+a\right)}^{3/2}}{8}}{{\left(b\,x^2+a\right)}^2-2\,a\,\left(b\,x^2+a\right)+a^2}+\frac{b^2\,{\left(b\,x^2+a\right)}^{5/2}}{5}+a\,b^2\,{\left(b\,x^2+a\right)}^{3/2}+6\,a^2\,b^2\,\sqrt{b\,x^2+a}+\frac{a^{5/2}\,b^2\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,63{}\mathrm{i}}{8}","Not used",1,"((15*a^4*b^2*(a + b*x^2)^(1/2))/8 - (17*a^3*b^2*(a + b*x^2)^(3/2))/8)/((a + b*x^2)^2 - 2*a*(a + b*x^2) + a^2) + (b^2*(a + b*x^2)^(5/2))/5 + (a^(5/2)*b^2*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*63i)/8 + a*b^2*(a + b*x^2)^(3/2) + 6*a^2*b^2*(a + b*x^2)^(1/2)","B"
420,1,149,126,5.991740,"\text{Not used}","int((a + b*x^2)^(9/2)/x^7,x)","\frac{\frac{41\,a^4\,b^3\,\sqrt{b\,x^2+a}}{16}-\frac{35\,a^3\,b^3\,{\left(b\,x^2+a\right)}^{3/2}}{6}+\frac{55\,a^2\,b^3\,{\left(b\,x^2+a\right)}^{5/2}}{16}}{3\,a\,{\left(b\,x^2+a\right)}^2-3\,a^2\,\left(b\,x^2+a\right)-{\left(b\,x^2+a\right)}^3+a^3}+\frac{b^3\,{\left(b\,x^2+a\right)}^{3/2}}{3}+4\,a\,b^3\,\sqrt{b\,x^2+a}+\frac{a^{3/2}\,b^3\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,105{}\mathrm{i}}{16}","Not used",1,"((41*a^4*b^3*(a + b*x^2)^(1/2))/16 - (35*a^3*b^3*(a + b*x^2)^(3/2))/6 + (55*a^2*b^3*(a + b*x^2)^(5/2))/16)/(3*a*(a + b*x^2)^2 - 3*a^2*(a + b*x^2) - (a + b*x^2)^3 + a^3) + (b^3*(a + b*x^2)^(3/2))/3 + (a^(3/2)*b^3*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*105i)/16 + 4*a*b^3*(a + b*x^2)^(1/2)","B"
421,1,105,128,6.197007,"\text{Not used}","int((a + b*x^2)^(9/2)/x^9,x)","b^4\,\sqrt{b\,x^2+a}-\frac{325\,a\,{\left(b\,x^2+a\right)}^{7/2}}{128\,x^8}+\frac{187\,a^4\,\sqrt{b\,x^2+a}}{128\,x^8}-\frac{643\,a^3\,{\left(b\,x^2+a\right)}^{3/2}}{128\,x^8}+\frac{765\,a^2\,{\left(b\,x^2+a\right)}^{5/2}}{128\,x^8}+\frac{\sqrt{a}\,b^4\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,315{}\mathrm{i}}{128}","Not used",1,"b^4*(a + b*x^2)^(1/2) + (a^(1/2)*b^4*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*315i)/128 - (325*a*(a + b*x^2)^(7/2))/(128*x^8) + (187*a^4*(a + b*x^2)^(1/2))/(128*x^8) - (643*a^3*(a + b*x^2)^(3/2))/(128*x^8) + (765*a^2*(a + b*x^2)^(5/2))/(128*x^8)","B"
422,1,106,131,6.621377,"\text{Not used}","int((a + b*x^2)^(9/2)/x^11,x)","\frac{237\,a\,{\left(b\,x^2+a\right)}^{7/2}}{128\,x^{10}}-\frac{193\,{\left(b\,x^2+a\right)}^{9/2}}{256\,x^{10}}-\frac{63\,a^4\,\sqrt{b\,x^2+a}}{256\,x^{10}}+\frac{147\,a^3\,{\left(b\,x^2+a\right)}^{3/2}}{128\,x^{10}}-\frac{21\,a^2\,{\left(b\,x^2+a\right)}^{5/2}}{10\,x^{10}}+\frac{b^5\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,63{}\mathrm{i}}{256\,\sqrt{a}}","Not used",1,"(b^5*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*63i)/(256*a^(1/2)) - (193*(a + b*x^2)^(9/2))/(256*x^10) + (237*a*(a + b*x^2)^(7/2))/(128*x^10) - (63*a^4*(a + b*x^2)^(1/2))/(256*x^10) + (147*a^3*(a + b*x^2)^(3/2))/(128*x^10) - (21*a^2*(a + b*x^2)^(5/2))/(10*x^10)","B"
423,1,123,155,6.677572,"\text{Not used}","int((a + b*x^2)^(9/2)/x^13,x)","\frac{843\,a\,{\left(b\,x^2+a\right)}^{7/2}}{2560\,x^{12}}-\frac{667\,{\left(b\,x^2+a\right)}^{9/2}}{3072\,x^{12}}-\frac{21\,a^4\,\sqrt{b\,x^2+a}}{1024\,x^{12}}+\frac{119\,a^3\,{\left(b\,x^2+a\right)}^{3/2}}{1024\,x^{12}}-\frac{693\,a^2\,{\left(b\,x^2+a\right)}^{5/2}}{2560\,x^{12}}-\frac{21\,{\left(b\,x^2+a\right)}^{11/2}}{1024\,a\,x^{12}}-\frac{b^6\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,21{}\mathrm{i}}{1024\,a^{3/2}}","Not used",1,"(843*a*(a + b*x^2)^(7/2))/(2560*x^12) - (b^6*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*21i)/(1024*a^(3/2)) - (667*(a + b*x^2)^(9/2))/(3072*x^12) - (21*a^4*(a + b*x^2)^(1/2))/(1024*x^12) + (119*a^3*(a + b*x^2)^(3/2))/(1024*x^12) - (693*a^2*(a + b*x^2)^(5/2))/(2560*x^12) - (21*(a + b*x^2)^(11/2))/(1024*a*x^12)","B"
424,1,140,179,7.225452,"\text{Not used}","int((a + b*x^2)^(9/2)/x^15,x)","\frac{9\,a\,{\left(b\,x^2+a\right)}^{7/2}}{70\,x^{14}}-\frac{1199\,{\left(b\,x^2+a\right)}^{9/2}}{10240\,x^{14}}-\frac{9\,a^4\,\sqrt{b\,x^2+a}}{2048\,x^{14}}+\frac{15\,a^3\,{\left(b\,x^2+a\right)}^{3/2}}{512\,x^{14}}-\frac{849\,a^2\,{\left(b\,x^2+a\right)}^{5/2}}{10240\,x^{14}}-\frac{15\,{\left(b\,x^2+a\right)}^{11/2}}{512\,a\,x^{14}}+\frac{9\,{\left(b\,x^2+a\right)}^{13/2}}{2048\,a^2\,x^{14}}+\frac{b^7\,\mathrm{atan}\left(\frac{\sqrt{b\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,9{}\mathrm{i}}{2048\,a^{5/2}}","Not used",1,"(b^7*atan(((a + b*x^2)^(1/2)*1i)/a^(1/2))*9i)/(2048*a^(5/2)) - (1199*(a + b*x^2)^(9/2))/(10240*x^14) + (9*a*(a + b*x^2)^(7/2))/(70*x^14) - (9*a^4*(a + b*x^2)^(1/2))/(2048*x^14) + (15*a^3*(a + b*x^2)^(3/2))/(512*x^14) - (849*a^2*(a + b*x^2)^(5/2))/(10240*x^14) - (15*(a + b*x^2)^(11/2))/(512*a*x^14) + (9*(a + b*x^2)^(13/2))/(2048*a^2*x^14)","B"
425,0,-1,202,0.000000,"\text{Not used}","int(x^6*(a + b*x^2)^(9/2),x)","\int x^6\,{\left(b\,x^2+a\right)}^{9/2} \,d x","Not used",1,"int(x^6*(a + b*x^2)^(9/2), x)","F"
426,0,-1,178,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(9/2),x)","\int x^4\,{\left(b\,x^2+a\right)}^{9/2} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(9/2), x)","F"
427,0,-1,154,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(9/2),x)","\int x^2\,{\left(b\,x^2+a\right)}^{9/2} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(9/2), x)","F"
428,1,37,122,4.619708,"\text{Not used}","int((a + b*x^2)^(9/2),x)","\frac{x\,{\left(b\,x^2+a\right)}^{9/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{9}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{9/2}}","Not used",1,"(x*(a + b*x^2)^(9/2)*hypergeom([-9/2, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(9/2)","B"
429,1,40,123,6.030773,"\text{Not used}","int((a + b*x^2)^(9/2)/x^2,x)","-\frac{{\left(b\,x^2+a\right)}^{9/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{9}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{b\,x^2}{a}\right)}{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{9/2}}","Not used",1,"-((a + b*x^2)^(9/2)*hypergeom([-9/2, -1/2], 1/2, -(b*x^2)/a))/(x*((b*x^2)/a + 1)^(9/2))","B"
430,0,-1,128,0.000000,"\text{Not used}","int((a + b*x^2)^(9/2)/x^4,x)","\int \frac{{\left(b\,x^2+a\right)}^{9/2}}{x^4} \,d x","Not used",1,"int((a + b*x^2)^(9/2)/x^4, x)","F"
431,0,-1,129,0.000000,"\text{Not used}","int((a + b*x^2)^(9/2)/x^6,x)","\int \frac{{\left(b\,x^2+a\right)}^{9/2}}{x^6} \,d x","Not used",1,"int((a + b*x^2)^(9/2)/x^6, x)","F"
432,0,-1,126,0.000000,"\text{Not used}","int((a + b*x^2)^(9/2)/x^8,x)","\int \frac{{\left(b\,x^2+a\right)}^{9/2}}{x^8} \,d x","Not used",1,"int((a + b*x^2)^(9/2)/x^8, x)","F"
433,0,-1,124,0.000000,"\text{Not used}","int((a + b*x^2)^(9/2)/x^10,x)","\int \frac{{\left(b\,x^2+a\right)}^{9/2}}{x^{10}} \,d x","Not used",1,"int((a + b*x^2)^(9/2)/x^10, x)","F"
434,1,111,21,6.276517,"\text{Not used}","int((a + b*x^2)^(9/2)/x^12,x)","-\frac{a^4\,\sqrt{b\,x^2+a}}{11\,x^{11}}-\frac{5\,b^4\,\sqrt{b\,x^2+a}}{11\,x^3}-\frac{10\,a\,b^3\,\sqrt{b\,x^2+a}}{11\,x^5}-\frac{5\,a^3\,b\,\sqrt{b\,x^2+a}}{11\,x^9}-\frac{b^5\,\sqrt{b\,x^2+a}}{11\,a\,x}-\frac{10\,a^2\,b^2\,\sqrt{b\,x^2+a}}{11\,x^7}","Not used",1,"- (a^4*(a + b*x^2)^(1/2))/(11*x^11) - (5*b^4*(a + b*x^2)^(1/2))/(11*x^3) - (10*a*b^3*(a + b*x^2)^(1/2))/(11*x^5) - (5*a^3*b*(a + b*x^2)^(1/2))/(11*x^9) - (b^5*(a + b*x^2)^(1/2))/(11*a*x) - (10*a^2*b^2*(a + b*x^2)^(1/2))/(11*x^7)","B"
435,1,131,44,6.848801,"\text{Not used}","int((a + b*x^2)^(9/2)/x^14,x)","\frac{2\,b^6\,\sqrt{b\,x^2+a}}{143\,a^2\,x}-\frac{35\,b^4\,\sqrt{b\,x^2+a}}{143\,x^5}-\frac{90\,a\,b^3\,\sqrt{b\,x^2+a}}{143\,x^7}-\frac{53\,a^3\,b\,\sqrt{b\,x^2+a}}{143\,x^{11}}-\frac{b^5\,\sqrt{b\,x^2+a}}{143\,a\,x^3}-\frac{a^4\,\sqrt{b\,x^2+a}}{13\,x^{13}}-\frac{100\,a^2\,b^2\,\sqrt{b\,x^2+a}}{143\,x^9}","Not used",1,"(2*b^6*(a + b*x^2)^(1/2))/(143*a^2*x) - (35*b^4*(a + b*x^2)^(1/2))/(143*x^5) - (90*a*b^3*(a + b*x^2)^(1/2))/(143*x^7) - (53*a^3*b*(a + b*x^2)^(1/2))/(143*x^11) - (b^5*(a + b*x^2)^(1/2))/(143*a*x^3) - (a^4*(a + b*x^2)^(1/2))/(13*x^13) - (100*a^2*b^2*(a + b*x^2)^(1/2))/(143*x^9)","B"
436,1,151,68,7.415716,"\text{Not used}","int((a + b*x^2)^(9/2)/x^16,x)","\frac{4\,b^6\,\sqrt{b\,x^2+a}}{2145\,a^2\,x^3}-\frac{71\,b^4\,\sqrt{b\,x^2+a}}{429\,x^7}-\frac{206\,a\,b^3\,\sqrt{b\,x^2+a}}{429\,x^9}-\frac{61\,a^3\,b\,\sqrt{b\,x^2+a}}{195\,x^{13}}-\frac{b^5\,\sqrt{b\,x^2+a}}{715\,a\,x^5}-\frac{a^4\,\sqrt{b\,x^2+a}}{15\,x^{15}}-\frac{8\,b^7\,\sqrt{b\,x^2+a}}{2145\,a^3\,x}-\frac{406\,a^2\,b^2\,\sqrt{b\,x^2+a}}{715\,x^{11}}","Not used",1,"(4*b^6*(a + b*x^2)^(1/2))/(2145*a^2*x^3) - (71*b^4*(a + b*x^2)^(1/2))/(429*x^7) - (206*a*b^3*(a + b*x^2)^(1/2))/(429*x^9) - (61*a^3*b*(a + b*x^2)^(1/2))/(195*x^13) - (b^5*(a + b*x^2)^(1/2))/(715*a*x^5) - (a^4*(a + b*x^2)^(1/2))/(15*x^15) - (8*b^7*(a + b*x^2)^(1/2))/(2145*a^3*x) - (406*a^2*b^2*(a + b*x^2)^(1/2))/(715*x^11)","B"
437,1,171,92,8.172666,"\text{Not used}","int((a + b*x^2)^(9/2)/x^18,x)","\frac{6\,b^6\,\sqrt{b\,x^2+a}}{12155\,a^2\,x^5}-\frac{303\,b^4\,\sqrt{b\,x^2+a}}{2431\,x^9}-\frac{4714\,a\,b^3\,\sqrt{b\,x^2+a}}{12155\,x^{11}}-\frac{23\,a^3\,b\,\sqrt{b\,x^2+a}}{85\,x^{15}}-\frac{b^5\,\sqrt{b\,x^2+a}}{2431\,a\,x^7}-\frac{a^4\,\sqrt{b\,x^2+a}}{17\,x^{17}}-\frac{8\,b^7\,\sqrt{b\,x^2+a}}{12155\,a^3\,x^3}+\frac{16\,b^8\,\sqrt{b\,x^2+a}}{12155\,a^4\,x}-\frac{528\,a^2\,b^2\,\sqrt{b\,x^2+a}}{1105\,x^{13}}","Not used",1,"(6*b^6*(a + b*x^2)^(1/2))/(12155*a^2*x^5) - (303*b^4*(a + b*x^2)^(1/2))/(2431*x^9) - (4714*a*b^3*(a + b*x^2)^(1/2))/(12155*x^11) - (23*a^3*b*(a + b*x^2)^(1/2))/(85*x^15) - (b^5*(a + b*x^2)^(1/2))/(2431*a*x^7) - (a^4*(a + b*x^2)^(1/2))/(17*x^17) - (8*b^7*(a + b*x^2)^(1/2))/(12155*a^3*x^3) + (16*b^8*(a + b*x^2)^(1/2))/(12155*a^4*x) - (528*a^2*b^2*(a + b*x^2)^(1/2))/(1105*x^13)","B"
438,1,191,116,8.839507,"\text{Not used}","int((a + b*x^2)^(9/2)/x^20,x)","\frac{8\,b^6\,\sqrt{b\,x^2+a}}{46189\,a^2\,x^7}-\frac{23063\,b^4\,\sqrt{b\,x^2+a}}{230945\,x^{11}}-\frac{6826\,a\,b^3\,\sqrt{b\,x^2+a}}{20995\,x^{13}}-\frac{77\,a^3\,b\,\sqrt{b\,x^2+a}}{323\,x^{17}}-\frac{7\,b^5\,\sqrt{b\,x^2+a}}{46189\,a\,x^9}-\frac{a^4\,\sqrt{b\,x^2+a}}{19\,x^{19}}-\frac{48\,b^7\,\sqrt{b\,x^2+a}}{230945\,a^3\,x^5}+\frac{64\,b^8\,\sqrt{b\,x^2+a}}{230945\,a^4\,x^3}-\frac{128\,b^9\,\sqrt{b\,x^2+a}}{230945\,a^5\,x}-\frac{666\,a^2\,b^2\,\sqrt{b\,x^2+a}}{1615\,x^{15}}","Not used",1,"(8*b^6*(a + b*x^2)^(1/2))/(46189*a^2*x^7) - (23063*b^4*(a + b*x^2)^(1/2))/(230945*x^11) - (6826*a*b^3*(a + b*x^2)^(1/2))/(20995*x^13) - (77*a^3*b*(a + b*x^2)^(1/2))/(323*x^17) - (7*b^5*(a + b*x^2)^(1/2))/(46189*a*x^9) - (a^4*(a + b*x^2)^(1/2))/(19*x^19) - (48*b^7*(a + b*x^2)^(1/2))/(230945*a^3*x^5) + (64*b^8*(a + b*x^2)^(1/2))/(230945*a^4*x^3) - (128*b^9*(a + b*x^2)^(1/2))/(230945*a^5*x) - (666*a^2*b^2*(a + b*x^2)^(1/2))/(1615*x^15)","B"
439,1,211,140,9.628747,"\text{Not used}","int((a + b*x^2)^(9/2)/x^22,x)","\frac{10\,b^6\,\sqrt{b\,x^2+a}}{138567\,a^2\,x^9}-\frac{1049\,b^4\,\sqrt{b\,x^2+a}}{12597\,x^{13}}-\frac{1898\,a\,b^3\,\sqrt{b\,x^2+a}}{6783\,x^{15}}-\frac{85\,a^3\,b\,\sqrt{b\,x^2+a}}{399\,x^{19}}-\frac{3\,b^5\,\sqrt{b\,x^2+a}}{46189\,a\,x^{11}}-\frac{a^4\,\sqrt{b\,x^2+a}}{21\,x^{21}}-\frac{80\,b^7\,\sqrt{b\,x^2+a}}{969969\,a^3\,x^7}+\frac{32\,b^8\,\sqrt{b\,x^2+a}}{323323\,a^4\,x^5}-\frac{128\,b^9\,\sqrt{b\,x^2+a}}{969969\,a^5\,x^3}+\frac{256\,b^{10}\,\sqrt{b\,x^2+a}}{969969\,a^6\,x}-\frac{820\,a^2\,b^2\,\sqrt{b\,x^2+a}}{2261\,x^{17}}","Not used",1,"(10*b^6*(a + b*x^2)^(1/2))/(138567*a^2*x^9) - (1049*b^4*(a + b*x^2)^(1/2))/(12597*x^13) - (1898*a*b^3*(a + b*x^2)^(1/2))/(6783*x^15) - (85*a^3*b*(a + b*x^2)^(1/2))/(399*x^19) - (3*b^5*(a + b*x^2)^(1/2))/(46189*a*x^11) - (a^4*(a + b*x^2)^(1/2))/(21*x^21) - (80*b^7*(a + b*x^2)^(1/2))/(969969*a^3*x^7) + (32*b^8*(a + b*x^2)^(1/2))/(323323*a^4*x^5) - (128*b^9*(a + b*x^2)^(1/2))/(969969*a^5*x^3) + (256*b^10*(a + b*x^2)^(1/2))/(969969*a^6*x) - (820*a^2*b^2*(a + b*x^2)^(1/2))/(2261*x^17)","B"
440,1,231,164,10.465231,"\text{Not used}","int((a + b*x^2)^(9/2)/x^24,x)","\frac{36\,b^6\,\sqrt{b\,x^2+a}}{1062347\,a^2\,x^{11}}-\frac{3713\,b^4\,\sqrt{b\,x^2+a}}{52003\,x^{15}}-\frac{12770\,a\,b^3\,\sqrt{b\,x^2+a}}{52003\,x^{17}}-\frac{31\,a^3\,b\,\sqrt{b\,x^2+a}}{161\,x^{21}}-\frac{3\,b^5\,\sqrt{b\,x^2+a}}{96577\,a\,x^{13}}-\frac{a^4\,\sqrt{b\,x^2+a}}{23\,x^{23}}-\frac{40\,b^7\,\sqrt{b\,x^2+a}}{1062347\,a^3\,x^9}+\frac{320\,b^8\,\sqrt{b\,x^2+a}}{7436429\,a^4\,x^7}-\frac{384\,b^9\,\sqrt{b\,x^2+a}}{7436429\,a^5\,x^5}+\frac{512\,b^{10}\,\sqrt{b\,x^2+a}}{7436429\,a^6\,x^3}-\frac{1024\,b^{11}\,\sqrt{b\,x^2+a}}{7436429\,a^7\,x}-\frac{990\,a^2\,b^2\,\sqrt{b\,x^2+a}}{3059\,x^{19}}","Not used",1,"(36*b^6*(a + b*x^2)^(1/2))/(1062347*a^2*x^11) - (3713*b^4*(a + b*x^2)^(1/2))/(52003*x^15) - (12770*a*b^3*(a + b*x^2)^(1/2))/(52003*x^17) - (31*a^3*b*(a + b*x^2)^(1/2))/(161*x^21) - (3*b^5*(a + b*x^2)^(1/2))/(96577*a*x^13) - (a^4*(a + b*x^2)^(1/2))/(23*x^23) - (40*b^7*(a + b*x^2)^(1/2))/(1062347*a^3*x^9) + (320*b^8*(a + b*x^2)^(1/2))/(7436429*a^4*x^7) - (384*b^9*(a + b*x^2)^(1/2))/(7436429*a^5*x^5) + (512*b^10*(a + b*x^2)^(1/2))/(7436429*a^6*x^3) - (1024*b^11*(a + b*x^2)^(1/2))/(7436429*a^7*x) - (990*a^2*b^2*(a + b*x^2)^(1/2))/(3059*x^19)","B"
441,1,25,46,4.546628,"\text{Not used}","int(x^5*(4*x^2 + 9)^(1/2),x)","\sqrt{x^2+\frac{9}{4}}\,\left(\frac{2\,x^6}{7}+\frac{9\,x^4}{70}-\frac{27\,x^2}{70}+\frac{243}{140}\right)","Not used",1,"(x^2 + 9/4)^(1/2)*((9*x^4)/70 - (27*x^2)/70 + (2*x^6)/7 + 243/140)","B"
442,1,30,63,0.028354,"\text{Not used}","int(x^4*(4*x^2 + 9)^(1/2),x)","\frac{729\,\mathrm{asinh}\left(\frac{2\,x}{3}\right)}{512}+\frac{\sqrt{x^2+\frac{9}{4}}\,\left(\frac{2\,x^5}{3}+\frac{3\,x^3}{8}-\frac{81\,x}{64}\right)}{2}","Not used",1,"(729*asinh((2*x)/3))/512 + ((x^2 + 9/4)^(1/2)*((3*x^3)/8 - (81*x)/64 + (2*x^5)/3))/2","B"
443,1,20,31,0.021381,"\text{Not used}","int(x^3*(4*x^2 + 9)^(1/2),x)","\sqrt{x^2+\frac{9}{4}}\,\left(\frac{2\,x^4}{5}+\frac{3\,x^2}{10}-\frac{27}{20}\right)","Not used",1,"(x^2 + 9/4)^(1/2)*((3*x^2)/10 + (2*x^4)/5 - 27/20)","B"
444,1,23,45,0.033674,"\text{Not used}","int(x^2*(4*x^2 + 9)^(1/2),x)","\frac{\left(x^3+\frac{9\,x}{8}\right)\,\sqrt{x^2+\frac{9}{4}}}{2}-\frac{81\,\mathrm{asinh}\left(\frac{2\,x}{3}\right)}{64}","Not used",1,"(((9*x)/8 + x^3)*(x^2 + 9/4)^(1/2))/2 - (81*asinh((2*x)/3))/64","B"
445,1,16,15,0.018629,"\text{Not used}","int(x*(4*x^2 + 9)^(1/2),x)","\frac{\sqrt{x^2+\frac{9}{4}}\,\left(\frac{4\,x^2}{3}+3\right)}{2}","Not used",1,"((x^2 + 9/4)^(1/2)*((4*x^2)/3 + 3))/2","B"
446,1,16,27,0.031923,"\text{Not used}","int((4*x^2 + 9)^(1/2),x)","\frac{9\,\mathrm{asinh}\left(\frac{2\,x}{3}\right)}{4}+x\,\sqrt{x^2+\frac{9}{4}}","Not used",1,"(9*asinh((2*x)/3))/4 + x*(x^2 + 9/4)^(1/2)","B"
447,1,22,30,0.027750,"\text{Not used}","int((4*x^2 + 9)^(1/2)/x,x)","2\,\sqrt{x^2+\frac{9}{4}}-3\,\mathrm{atanh}\left(\frac{2\,\sqrt{x^2+\frac{9}{4}}}{3}\right)","Not used",1,"2*(x^2 + 9/4)^(1/2) - 3*atanh((2*(x^2 + 9/4)^(1/2))/3)","B"
448,1,19,25,0.028299,"\text{Not used}","int((4*x^2 + 9)^(1/2)/x^2,x)","2\,\mathrm{asinh}\left(\frac{2\,x}{3}\right)-\frac{2\,\sqrt{x^2+\frac{9}{4}}}{x}","Not used",1,"2*asinh((2*x)/3) - (2*(x^2 + 9/4)^(1/2))/x","B"
449,1,25,39,0.030245,"\text{Not used}","int((4*x^2 + 9)^(1/2)/x^3,x)","-\frac{2\,\mathrm{atanh}\left(\frac{2\,\sqrt{x^2+\frac{9}{4}}}{3}\right)}{3}-\frac{\sqrt{x^2+\frac{9}{4}}}{x^2}","Not used",1,"- (2*atanh((2*(x^2 + 9/4)^(1/2))/3))/3 - (x^2 + 9/4)^(1/2)/x^2","B"
450,1,27,18,0.032579,"\text{Not used}","int((4*x^2 + 9)^(1/2)/x^4,x)","-\frac{18\,\sqrt{x^2+\frac{9}{4}}+8\,x^2\,\sqrt{x^2+\frac{9}{4}}}{27\,x^3}","Not used",1,"-(18*(x^2 + 9/4)^(1/2) + 8*x^2*(x^2 + 9/4)^(1/2))/(27*x^3)","B"
451,1,45,57,0.031144,"\text{Not used}","int((4*x^2 + 9)^(1/2)/x^5,x)","\frac{2\,\mathrm{atanh}\left(\frac{2\,\sqrt{x^2+\frac{9}{4}}}{3}\right)}{27}+\frac{\sqrt{x^2+\frac{9}{4}}\,\left(\frac{2}{3\,x^2}-\frac{1}{x^4}\right)}{2}-\frac{4\,\sqrt{x^2+\frac{9}{4}}}{9\,x^2}","Not used",1,"(2*atanh((2*(x^2 + 9/4)^(1/2))/3))/27 + ((x^2 + 9/4)^(1/2)*(2/(3*x^2) - 1/x^4))/2 - (4*(x^2 + 9/4)^(1/2))/(9*x^2)","B"
452,1,28,46,4.532140,"\text{Not used}","int(x^5*(9 - 4*x^2)^(1/2),x)","-\frac{\sqrt{\frac{9}{4}-x^2}\,\left(-\frac{4\,x^6}{7}+\frac{9\,x^4}{35}+\frac{27\,x^2}{35}+\frac{243}{70}\right)}{2}","Not used",1,"-((9/4 - x^2)^(1/2)*((27*x^2)/35 + (9*x^4)/35 - (4*x^6)/7 + 243/70))/2","B"
453,1,32,63,4.563023,"\text{Not used}","int(x^4*(9 - 4*x^2)^(1/2),x)","\frac{729\,\mathrm{asin}\left(\frac{2\,x}{3}\right)}{512}-\frac{\sqrt{\frac{9}{4}-x^2}\,\left(-\frac{2\,x^5}{3}+\frac{3\,x^3}{8}+\frac{81\,x}{64}\right)}{2}","Not used",1,"(729*asin((2*x)/3))/512 - ((9/4 - x^2)^(1/2)*((81*x)/64 + (3*x^3)/8 - (2*x^5)/3))/2","B"
454,1,23,31,0.021807,"\text{Not used}","int(x^3*(9 - 4*x^2)^(1/2),x)","-\frac{\sqrt{\frac{9}{4}-x^2}\,\left(-\frac{4\,x^4}{5}+\frac{3\,x^2}{5}+\frac{27}{10}\right)}{2}","Not used",1,"-((9/4 - x^2)^(1/2)*((3*x^2)/5 - (4*x^4)/5 + 27/10))/2","B"
455,1,27,45,0.034831,"\text{Not used}","int(x^2*(9 - 4*x^2)^(1/2),x)","\frac{81\,\mathrm{asin}\left(\frac{2\,x}{3}\right)}{64}-\frac{\sqrt{\frac{9}{4}-x^2}\,\left(\frac{9\,x}{8}-x^3\right)}{2}","Not used",1,"(81*asin((2*x)/3))/64 - ((9/4 - x^2)^(1/2)*((9*x)/8 - x^3))/2","B"
456,1,18,15,0.019597,"\text{Not used}","int(x*(9 - 4*x^2)^(1/2),x)","\frac{\sqrt{\frac{9}{4}-x^2}\,\left(\frac{4\,x^2}{3}-3\right)}{2}","Not used",1,"((9/4 - x^2)^(1/2)*((4*x^2)/3 - 3))/2","B"
457,1,18,27,0.024297,"\text{Not used}","int((9 - 4*x^2)^(1/2),x)","\frac{9\,\mathrm{asin}\left(\frac{2\,x}{3}\right)}{4}+x\,\sqrt{\frac{9}{4}-x^2}","Not used",1,"(9*asin((2*x)/3))/4 + x*(9/4 - x^2)^(1/2)","B"
458,1,32,30,4.552259,"\text{Not used}","int((9 - 4*x^2)^(1/2)/x,x)","3\,\ln\left(\sqrt{\frac{9}{4\,x^2}-1}-\frac{3\,\sqrt{\frac{1}{x^2}}}{2}\right)+2\,\sqrt{\frac{9}{4}-x^2}","Not used",1,"3*log((9/(4*x^2) - 1)^(1/2) - (3*(1/x^2)^(1/2))/2) + 2*(9/4 - x^2)^(1/2)","B"
459,1,21,25,0.026523,"\text{Not used}","int((9 - 4*x^2)^(1/2)/x^2,x)","-2\,\mathrm{asin}\left(\frac{2\,x}{3}\right)-\frac{2\,\sqrt{\frac{9}{4}-x^2}}{x}","Not used",1,"- 2*asin((2*x)/3) - (2*(9/4 - x^2)^(1/2))/x","B"
460,1,35,39,4.655423,"\text{Not used}","int((9 - 4*x^2)^(1/2)/x^3,x)","-\frac{2\,\ln\left(\sqrt{\frac{9}{4\,x^2}-1}-\frac{3\,\sqrt{\frac{1}{x^2}}}{2}\right)}{3}-\frac{\sqrt{\frac{9}{4}-x^2}}{x^2}","Not used",1,"- (2*log((9/(4*x^2) - 1)^(1/2) - (3*(1/x^2)^(1/2))/2))/3 - (9/4 - x^2)^(1/2)/x^2","B"
461,1,31,18,0.032555,"\text{Not used}","int((9 - 4*x^2)^(1/2)/x^4,x)","\frac{8\,x^2\,\sqrt{\frac{9}{4}-x^2}-18\,\sqrt{\frac{9}{4}-x^2}}{27\,x^3}","Not used",1,"(8*x^2*(9/4 - x^2)^(1/2) - 18*(9/4 - x^2)^(1/2))/(27*x^3)","B"
462,1,49,57,0.029607,"\text{Not used}","int((9 - 4*x^2)^(1/2)/x^5,x)","\frac{\sqrt{\frac{9}{4}-x^2}}{9\,x^2}-\frac{2\,\ln\left(\sqrt{\frac{9}{4\,x^2}-1}-\frac{3\,\sqrt{\frac{1}{x^2}}}{2}\right)}{27}-\frac{\sqrt{\frac{9}{4}-x^2}}{2\,x^4}","Not used",1,"(9/4 - x^2)^(1/2)/(9*x^2) - (2*log((9/(4*x^2) - 1)^(1/2) - (3*(1/x^2)^(1/2))/2))/27 - (9/4 - x^2)^(1/2)/(2*x^4)","B"
463,1,28,46,5.314424,"\text{Not used}","int(x^5*(4*x^2 - 9)^(1/2),x)","-\sqrt{4\,x^2-9}\,\left(-\frac{x^6}{7}+\frac{9\,x^4}{140}+\frac{27\,x^2}{140}+\frac{243}{280}\right)","Not used",1,"-(4*x^2 - 9)^(1/2)*((27*x^2)/140 + (9*x^4)/140 - x^6/7 + 243/280)","B"
464,0,-1,72,0.000000,"\text{Not used}","int(x^4*(4*x^2 - 9)^(1/2),x)","\int x^4\,\sqrt{4\,x^2-9} \,d x","Not used",1,"int(x^4*(4*x^2 - 9)^(1/2), x)","F"
465,1,23,31,5.510991,"\text{Not used}","int(x^3*(4*x^2 - 9)^(1/2),x)","-\sqrt{4\,x^2-9}\,\left(-\frac{x^4}{5}+\frac{3\,x^2}{20}+\frac{27}{40}\right)","Not used",1,"-(4*x^2 - 9)^(1/2)*((3*x^2)/20 - x^4/5 + 27/40)","B"
466,0,-1,54,0.000000,"\text{Not used}","int(x^2*(4*x^2 - 9)^(1/2),x)","\int x^2\,\sqrt{4\,x^2-9} \,d x","Not used",1,"int(x^2*(4*x^2 - 9)^(1/2), x)","F"
467,1,11,15,0.060084,"\text{Not used}","int(x*(4*x^2 - 9)^(1/2),x)","\frac{{\left(4\,x^2-9\right)}^{3/2}}{12}","Not used",1,"(4*x^2 - 9)^(3/2)/12","B"
468,1,29,36,5.032248,"\text{Not used}","int((4*x^2 - 9)^(1/2),x)","\frac{x\,\sqrt{4\,x^2-9}}{2}-\frac{9\,\ln\left(2\,x+\sqrt{4\,x^2-9}\right)}{4}","Not used",1,"(x*(4*x^2 - 9)^(1/2))/2 - (9*log(2*x + (4*x^2 - 9)^(1/2)))/4","B"
469,1,24,30,5.338253,"\text{Not used}","int((4*x^2 - 9)^(1/2)/x,x)","\sqrt{4\,x^2-9}-3\,\mathrm{atan}\left(\frac{\sqrt{4\,x^2-9}}{3}\right)","Not used",1,"(4*x^2 - 9)^(1/2) - 3*atan((4*x^2 - 9)^(1/2)/3)","B"
470,1,39,34,5.547865,"\text{Not used}","int((4*x^2 - 9)^(1/2)/x^2,x)","-\frac{\sqrt{4\,x^2-9}}{x}-\frac{2\,\mathrm{asin}\left(\frac{2\,x}{3}\right)\,\sqrt{4\,x^2-9}}{3\,\sqrt{1-\frac{4\,x^2}{9}}}","Not used",1,"- (4*x^2 - 9)^(1/2)/x - (2*asin((2*x)/3)*(4*x^2 - 9)^(1/2))/(3*(1 - (4*x^2)/9)^(1/2))","B"
471,1,29,39,5.330412,"\text{Not used}","int((4*x^2 - 9)^(1/2)/x^3,x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{4\,x^2-9}}{3}\right)}{3}-\frac{\sqrt{4\,x^2-9}}{2\,x^2}","Not used",1,"(2*atan((4*x^2 - 9)^(1/2)/3))/3 - (4*x^2 - 9)^(1/2)/(2*x^2)","B"
472,1,31,18,5.098024,"\text{Not used}","int((4*x^2 - 9)^(1/2)/x^4,x)","\frac{4\,x^2\,\sqrt{4\,x^2-9}-9\,\sqrt{4\,x^2-9}}{27\,x^3}","Not used",1,"(4*x^2*(4*x^2 - 9)^(1/2) - 9*(4*x^2 - 9)^(1/2))/(27*x^3)","B"
473,1,43,57,5.189781,"\text{Not used}","int((4*x^2 - 9)^(1/2)/x^5,x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{4\,x^2-9}}{3}\right)}{27}-\frac{\frac{\sqrt{4\,x^2-9}}{8}-\frac{{\left(4\,x^2-9\right)}^{3/2}}{72}}{x^4}","Not used",1,"(2*atan((4*x^2 - 9)^(1/2)/3))/27 - ((4*x^2 - 9)^(1/2)/8 - (4*x^2 - 9)^(3/2)/72)/x^4","B"
474,1,27,46,5.126747,"\text{Not used}","int(x^5*(- 4*x^2 - 9)^(1/2),x)","\sqrt{-4\,x^2-9}\,\left(\frac{x^6}{7}+\frac{9\,x^4}{140}-\frac{27\,x^2}{140}+\frac{243}{280}\right)","Not used",1,"(- 4*x^2 - 9)^(1/2)*((9*x^4)/140 - (27*x^2)/140 + x^6/7 + 243/280)","B"
475,0,-1,72,0.000000,"\text{Not used}","int(x^4*(- 4*x^2 - 9)^(1/2),x)","\int x^4\,\sqrt{-4\,x^2-9} \,d x","Not used",1,"int(x^4*(- 4*x^2 - 9)^(1/2), x)","F"
476,1,22,31,5.145143,"\text{Not used}","int(x^3*(- 4*x^2 - 9)^(1/2),x)","\sqrt{-4\,x^2-9}\,\left(\frac{x^4}{5}+\frac{3\,x^2}{20}-\frac{27}{40}\right)","Not used",1,"(- 4*x^2 - 9)^(1/2)*((3*x^2)/20 + x^4/5 - 27/40)","B"
477,0,-1,54,0.000000,"\text{Not used}","int(x^2*(- 4*x^2 - 9)^(1/2),x)","\int x^2\,\sqrt{-4\,x^2-9} \,d x","Not used",1,"int(x^2*(- 4*x^2 - 9)^(1/2), x)","F"
478,1,11,15,0.070216,"\text{Not used}","int(x*(- 4*x^2 - 9)^(1/2),x)","-\frac{{\left(-4\,x^2-9\right)}^{3/2}}{12}","Not used",1,"-(- 4*x^2 - 9)^(3/2)/12","B"
479,1,28,36,5.026957,"\text{Not used}","int((- 4*x^2 - 9)^(1/2),x)","\frac{x\,\sqrt{-4\,x^2-9}}{2}-\frac{9\,\mathrm{atan}\left(\frac{2\,x}{\sqrt{-4\,x^2-9}}\right)}{4}","Not used",1,"(x*(- 4*x^2 - 9)^(1/2))/2 - (9*atan((2*x)/(- 4*x^2 - 9)^(1/2)))/4","B"
480,1,24,30,4.732359,"\text{Not used}","int((- 4*x^2 - 9)^(1/2)/x,x)","\sqrt{-4\,x^2-9}-3\,\mathrm{atan}\left(\frac{\sqrt{-4\,x^2-9}}{3}\right)","Not used",1,"(- 4*x^2 - 9)^(1/2) - 3*atan((- 4*x^2 - 9)^(1/2)/3)","B"
481,1,41,34,4.774549,"\text{Not used}","int((- 4*x^2 - 9)^(1/2)/x^2,x)","-\frac{\sqrt{-4\,x^2-9}}{x}-\frac{\mathrm{asin}\left(\frac{x\,2{}\mathrm{i}}{3}\right)\,\sqrt{-4\,x^2-9}\,2{}\mathrm{i}}{3\,\sqrt{\frac{4\,x^2}{9}+1}}","Not used",1,"- (- 4*x^2 - 9)^(1/2)/x - (asin((x*2i)/3)*(- 4*x^2 - 9)^(1/2)*2i)/(3*((4*x^2)/9 + 1)^(1/2))","B"
482,1,29,39,4.791521,"\text{Not used}","int((- 4*x^2 - 9)^(1/2)/x^3,x)","-\frac{2\,\mathrm{atan}\left(\frac{\sqrt{-4\,x^2-9}}{3}\right)}{3}-\frac{\sqrt{-4\,x^2-9}}{2\,x^2}","Not used",1,"- (2*atan((- 4*x^2 - 9)^(1/2)/3))/3 - (- 4*x^2 - 9)^(1/2)/(2*x^2)","B"
483,1,31,18,4.740038,"\text{Not used}","int((- 4*x^2 - 9)^(1/2)/x^4,x)","-\frac{4\,x^2\,\sqrt{-4\,x^2-9}+9\,\sqrt{-4\,x^2-9}}{27\,x^3}","Not used",1,"-(4*x^2*(- 4*x^2 - 9)^(1/2) + 9*(- 4*x^2 - 9)^(1/2))/(27*x^3)","B"
484,1,43,57,4.694939,"\text{Not used}","int((- 4*x^2 - 9)^(1/2)/x^5,x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{-4\,x^2-9}}{3}\right)}{27}-\frac{\frac{\sqrt{-4\,x^2-9}}{8}-\frac{{\left(-4\,x^2-9\right)}^{3/2}}{72}}{x^4}","Not used",1,"(2*atan((- 4*x^2 - 9)^(1/2)/3))/27 - ((- 4*x^2 - 9)^(1/2)/8 - (- 4*x^2 - 9)^(3/2)/72)/x^4","B"
485,1,36,56,4.674438,"\text{Not used}","int(x^5/(a + b*x^2)^(1/2),x)","\sqrt{b\,x^2+a}\,\left(\frac{8\,a^2}{15\,b^3}+\frac{x^4}{5\,b}-\frac{4\,a\,x^2}{15\,b^2}\right)","Not used",1,"(a + b*x^2)^(1/2)*((8*a^2)/(15*b^3) + x^4/(5*b) - (4*a*x^2)/(15*b^2))","B"
486,0,-1,73,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(1/2),x)","\int \frac{x^4}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(1/2), x)","F"
487,1,24,36,4.728845,"\text{Not used}","int(x^3/(a + b*x^2)^(1/2),x)","-\frac{\sqrt{b\,x^2+a}\,\left(2\,a-b\,x^2\right)}{3\,b^2}","Not used",1,"-((a + b*x^2)^(1/2)*(2*a - b*x^2))/(3*b^2)","B"
488,1,56,49,4.817711,"\text{Not used}","int(x^2/(a + b*x^2)^(1/2),x)","\left\{\begin{array}{cl} \frac{x^3}{3\,\sqrt{a}} & \text{\ if\ \ }b=0\\ \frac{x\,\sqrt{b\,x^2+a}}{2\,b}-\frac{a\,\ln\left(2\,\sqrt{b}\,x+2\,\sqrt{b\,x^2+a}\right)}{2\,b^{3/2}} & \text{\ if\ \ }b\neq 0 \end{array}\right.","Not used",1,"piecewise(b == 0, x^3/(3*a^(1/2)), b ~= 0, (x*(a + b*x^2)^(1/2))/(2*b) - (a*log(2*b^(1/2)*x + 2*(a + b*x^2)^(1/2)))/(2*b^(3/2)))","B"
489,1,13,15,4.583904,"\text{Not used}","int(x/(a + b*x^2)^(1/2),x)","\frac{\sqrt{b\,x^2+a}}{b}","Not used",1,"(a + b*x^2)^(1/2)/b","B"
490,1,20,25,0.122625,"\text{Not used}","int(1/(a + b*x^2)^(1/2),x)","\frac{\ln\left(\sqrt{b}\,x+\sqrt{b\,x^2+a}\right)}{\sqrt{b}}","Not used",1,"log(b^(1/2)*x + (a + b*x^2)^(1/2))/b^(1/2)","B"
491,1,19,25,4.872665,"\text{Not used}","int(1/(x*(a + b*x^2)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"-atanh((a + b*x^2)^(1/2)/a^(1/2))/a^(1/2)","B"
492,1,17,19,4.599732,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(1/2)),x)","-\frac{\sqrt{b\,x^2+a}}{a\,x}","Not used",1,"-(a + b*x^2)^(1/2)/(a*x)","B"
493,1,38,50,4.753302,"\text{Not used}","int(1/(x^3*(a + b*x^2)^(1/2)),x)","\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{2\,a^{3/2}}-\frac{\sqrt{b\,x^2+a}}{2\,a\,x^2}","Not used",1,"(b*atanh((a + b*x^2)^(1/2)/a^(1/2)))/(2*a^(3/2)) - (a + b*x^2)^(1/2)/(2*a*x^2)","B"
494,1,25,44,4.622058,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(1/2)),x)","-\frac{\sqrt{b\,x^2+a}\,\left(a-2\,b\,x^2\right)}{3\,a^2\,x^3}","Not used",1,"-((a + b*x^2)^(1/2)*(a - 2*b*x^2))/(3*a^2*x^3)","B"
495,1,57,74,4.731932,"\text{Not used}","int(1/(x^5*(a + b*x^2)^(1/2)),x)","\frac{3\,{\left(b\,x^2+a\right)}^{3/2}}{8\,a^2\,x^4}-\frac{5\,\sqrt{b\,x^2+a}}{8\,a\,x^4}-\frac{3\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{8\,a^{5/2}}","Not used",1,"(3*(a + b*x^2)^(3/2))/(8*a^2*x^4) - (5*(a + b*x^2)^(1/2))/(8*a*x^4) - (3*b^2*atanh((a + b*x^2)^(1/2)/a^(1/2)))/(8*a^(5/2))","B"
496,1,41,55,4.721300,"\text{Not used}","int(x^5/(a + b*x^2)^(3/2),x)","-\frac{6\,a\,\left(b\,x^2+a\right)-{\left(b\,x^2+a\right)}^2+3\,a^2}{3\,b^3\,\sqrt{b\,x^2+a}}","Not used",1,"-(6*a*(a + b*x^2) - (a + b*x^2)^2 + 3*a^2)/(3*b^3*(a + b*x^2)^(1/2))","B"
497,0,-1,68,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(3/2),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(3/2), x)","F"
498,1,22,32,4.697862,"\text{Not used}","int(x^3/(a + b*x^2)^(3/2),x)","\frac{b\,x^2+2\,a}{b^2\,\sqrt{b\,x^2+a}}","Not used",1,"(2*a + b*x^2)/(b^2*(a + b*x^2)^(1/2))","B"
499,1,36,43,0.091441,"\text{Not used}","int(x^2/(a + b*x^2)^(3/2),x)","\frac{\ln\left(\sqrt{b}\,x+\sqrt{b\,x^2+a}\right)}{b^{3/2}}-\frac{x}{b\,\sqrt{b\,x^2+a}}","Not used",1,"log(b^(1/2)*x + (a + b*x^2)^(1/2))/b^(3/2) - x/(b*(a + b*x^2)^(1/2))","B"
500,1,14,16,0.039968,"\text{Not used}","int(x/(a + b*x^2)^(3/2),x)","-\frac{1}{b\,\sqrt{b\,x^2+a}}","Not used",1,"-1/(b*(a + b*x^2)^(1/2))","B"
501,1,14,16,0.028643,"\text{Not used}","int(1/(a + b*x^2)^(3/2),x)","\frac{x}{a\,\sqrt{b\,x^2+a}}","Not used",1,"x/(a*(a + b*x^2)^(1/2))","B"
502,1,33,41,4.776115,"\text{Not used}","int(1/(x*(a + b*x^2)^(3/2)),x)","\frac{1}{a\,\sqrt{b\,x^2+a}}-\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{a^{3/2}}","Not used",1,"1/(a*(a + b*x^2)^(1/2)) - atanh((a + b*x^2)^(1/2)/a^(1/2))/a^(3/2)","B"
503,1,35,38,4.635359,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(3/2)),x)","-\frac{\sqrt{b\,x^2+a}\,\left(\frac{1}{a}+\frac{2\,b\,x^2}{a^2}\right)}{b\,x^3+a\,x}","Not used",1,"-((a + b*x^2)^(1/2)*(1/a + (2*b*x^2)/a^2))/(a*x + b*x^3)","B"
504,1,53,69,4.936998,"\text{Not used}","int(1/(x^3*(a + b*x^2)^(3/2)),x)","\frac{3\,b\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{2\,a^{5/2}}-\frac{1}{2\,a\,x^2\,\sqrt{b\,x^2+a}}-\frac{3\,b}{2\,a^2\,\sqrt{b\,x^2+a}}","Not used",1,"(3*b*atanh((a + b*x^2)^(1/2)/a^(1/2)))/(2*a^(5/2)) - 1/(2*a*x^2*(a + b*x^2)^(1/2)) - (3*b)/(2*a^2*(a + b*x^2)^(1/2))","B"
505,1,38,66,5.124658,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(3/2)),x)","\frac{-a^2+4\,a\,b\,x^2+8\,b^2\,x^4}{3\,a^3\,x^3\,\sqrt{b\,x^2+a}}","Not used",1,"(8*b^2*x^4 - a^2 + 4*a*b*x^2)/(3*a^3*x^3*(a + b*x^2)^(1/2))","B"
506,0,-1,91,0.000000,"\text{Not used}","int(x^6/(a + b*x^2)^(5/2),x)","\int \frac{x^6}{{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(x^6/(a + b*x^2)^(5/2), x)","F"
507,1,38,54,5.200906,"\text{Not used}","int(x^5/(a + b*x^2)^(5/2),x)","\frac{2\,a\,\left(b\,x^2+a\right)+{\left(b\,x^2+a\right)}^2-\frac{a^2}{3}}{b^3\,{\left(b\,x^2+a\right)}^{3/2}}","Not used",1,"(2*a*(a + b*x^2) + (a + b*x^2)^2 - a^2/3)/(b^3*(a + b*x^2)^(3/2))","B"
508,0,-1,64,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(5/2),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(5/2), x)","F"
509,1,24,36,5.174419,"\text{Not used}","int(x^3/(a + b*x^2)^(5/2),x)","-\frac{3\,b\,x^2+2\,a}{3\,b^2\,{\left(b\,x^2+a\right)}^{3/2}}","Not used",1,"-(2*a + 3*b*x^2)/(3*b^2*(a + b*x^2)^(3/2))","B"
510,1,17,21,5.127752,"\text{Not used}","int(x^2/(a + b*x^2)^(5/2),x)","\frac{x^3}{3\,a\,{\left(b\,x^2+a\right)}^{3/2}}","Not used",1,"x^3/(3*a*(a + b*x^2)^(3/2))","B"
511,1,14,18,4.943528,"\text{Not used}","int(x/(a + b*x^2)^(5/2),x)","-\frac{1}{3\,b\,{\left(b\,x^2+a\right)}^{3/2}}","Not used",1,"-1/(3*b*(a + b*x^2)^(3/2))","B"
512,1,28,39,4.885184,"\text{Not used}","int(1/(a + b*x^2)^(5/2),x)","\frac{2\,x\,\left(b\,x^2+a\right)+a\,x}{3\,a^2\,{\left(b\,x^2+a\right)}^{3/2}}","Not used",1,"(2*x*(a + b*x^2) + a*x)/(3*a^2*(a + b*x^2)^(3/2))","B"
513,1,47,59,5.199050,"\text{Not used}","int(1/(x*(a + b*x^2)^(5/2)),x)","\frac{\frac{b\,x^2+a}{a^2}+\frac{1}{3\,a}}{{\left(b\,x^2+a\right)}^{3/2}}-\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{a^{5/2}}","Not used",1,"((a + b*x^2)/a^2 + 1/(3*a))/(a + b*x^2)^(3/2) - atanh((a + b*x^2)^(1/2)/a^(1/2))/a^(5/2)","B"
514,1,42,60,5.180569,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(5/2)),x)","\frac{4\,a\,\left(b\,x^2+a\right)-8\,{\left(b\,x^2+a\right)}^2+a^2}{3\,a^3\,x\,{\left(b\,x^2+a\right)}^{3/2}}","Not used",1,"(4*a*(a + b*x^2) - 8*(a + b*x^2)^2 + a^2)/(3*a^3*x*(a + b*x^2)^(3/2))","B"
515,1,73,88,5.253427,"\text{Not used}","int(1/(x^3*(a + b*x^2)^(5/2)),x)","\frac{5\,b\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{2\,a^{7/2}}-\frac{1}{2\,a\,x^2\,{\left(b\,x^2+a\right)}^{3/2}}-\frac{10\,b}{3\,a^2\,{\left(b\,x^2+a\right)}^{3/2}}-\frac{5\,b^2\,x^2}{2\,a^3\,{\left(b\,x^2+a\right)}^{3/2}}","Not used",1,"(5*b*atanh((a + b*x^2)^(1/2)/a^(1/2)))/(2*a^(7/2)) - 1/(2*a*x^2*(a + b*x^2)^(3/2)) - (10*b)/(3*a^2*(a + b*x^2)^(3/2)) - (5*b^2*x^2)/(2*a^3*(a + b*x^2)^(3/2))","B"
516,1,78,86,5.000219,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(5/2)),x)","-\frac{6\,a^2\,\left(b\,x^2+a\right)-24\,a\,{\left(b\,x^2+a\right)}^2+16\,{\left(b\,x^2+a\right)}^3+a^3}{{\left(b\,x^2+a\right)}^{3/2}\,\left(\frac{3\,a^5\,x}{b}-\frac{3\,a^4\,x\,\left(b\,x^2+a\right)}{b}\right)}","Not used",1,"-(6*a^2*(a + b*x^2) - 24*a*(a + b*x^2)^2 + 16*(a + b*x^2)^3 + a^3)/((a + b*x^2)^(3/2)*((3*a^5*x)/b - (3*a^4*x*(a + b*x^2))/b))","B"
517,0,-1,131,0.000000,"\text{Not used}","int(x^10/(a + b*x^2)^(9/2),x)","\int \frac{x^{10}}{{\left(b\,x^2+a\right)}^{9/2}} \,d x","Not used",1,"int(x^10/(a + b*x^2)^(9/2), x)","F"
518,1,80,94,4.944872,"\text{Not used}","int(x^9/(a + b*x^2)^(9/2),x)","\frac{\sqrt{b\,x^2+a}}{b^5}+\frac{4\,a}{b^5\,\sqrt{b\,x^2+a}}-\frac{2\,a^2}{b^5\,{\left(b\,x^2+a\right)}^{3/2}}+\frac{4\,a^3}{5\,b^5\,{\left(b\,x^2+a\right)}^{5/2}}-\frac{a^4}{7\,b^5\,{\left(b\,x^2+a\right)}^{7/2}}","Not used",1,"(a + b*x^2)^(1/2)/b^5 + (4*a)/(b^5*(a + b*x^2)^(1/2)) - (2*a^2)/(b^5*(a + b*x^2)^(3/2)) + (4*a^3)/(5*b^5*(a + b*x^2)^(5/2)) - a^4/(7*b^5*(a + b*x^2)^(7/2))","B"
519,0,-1,106,0.000000,"\text{Not used}","int(x^8/(a + b*x^2)^(9/2),x)","\int \frac{x^8}{{\left(b\,x^2+a\right)}^{9/2}} \,d x","Not used",1,"int(x^8/(a + b*x^2)^(9/2), x)","F"
520,1,63,75,4.880362,"\text{Not used}","int(x^7/(a + b*x^2)^(9/2),x)","\frac{a}{b^4\,{\left(b\,x^2+a\right)}^{3/2}}-\frac{1}{b^4\,\sqrt{b\,x^2+a}}-\frac{3\,a^2}{5\,b^4\,{\left(b\,x^2+a\right)}^{5/2}}+\frac{a^3}{7\,b^4\,{\left(b\,x^2+a\right)}^{7/2}}","Not used",1,"a/(b^4*(a + b*x^2)^(3/2)) - 1/(b^4*(a + b*x^2)^(1/2)) - (3*a^2)/(5*b^4*(a + b*x^2)^(5/2)) + a^3/(7*b^4*(a + b*x^2)^(7/2))","B"
521,1,68,21,4.763986,"\text{Not used}","int(x^6/(a + b*x^2)^(9/2),x)","\frac{x}{7\,a\,b^3\,\sqrt{b\,x^2+a}}-\frac{3\,x}{7\,b^3\,{\left(b\,x^2+a\right)}^{3/2}}-\frac{a^2\,x}{7\,b^3\,{\left(b\,x^2+a\right)}^{7/2}}+\frac{3\,a\,x}{7\,b^3\,{\left(b\,x^2+a\right)}^{5/2}}","Not used",1,"x/(7*a*b^3*(a + b*x^2)^(1/2)) - (3*x)/(7*b^3*(a + b*x^2)^(3/2)) - (a^2*x)/(7*b^3*(a + b*x^2)^(7/2)) + (3*a*x)/(7*b^3*(a + b*x^2)^(5/2))","B"
522,1,41,59,4.805017,"\text{Not used}","int(x^5/(a + b*x^2)^(9/2),x)","-\frac{35\,{\left(b\,x^2+a\right)}^2-42\,a\,\left(b\,x^2+a\right)+15\,a^2}{105\,b^3\,{\left(b\,x^2+a\right)}^{7/2}}","Not used",1,"-(35*(a + b*x^2)^2 - 42*a*(a + b*x^2) + 15*a^2)/(105*b^3*(a + b*x^2)^(7/2))","B"
523,1,68,44,4.875975,"\text{Not used}","int(x^4/(a + b*x^2)^(9/2),x)","\frac{2\,x}{35\,a^2\,b^2\,\sqrt{b\,x^2+a}}-\frac{8\,x}{35\,b^2\,{\left(b\,x^2+a\right)}^{5/2}}+\frac{x}{35\,a\,b^2\,{\left(b\,x^2+a\right)}^{3/2}}+\frac{a\,x}{7\,b^2\,{\left(b\,x^2+a\right)}^{7/2}}","Not used",1,"(2*x)/(35*a^2*b^2*(a + b*x^2)^(1/2)) - (8*x)/(35*b^2*(a + b*x^2)^(5/2)) + x/(35*a*b^2*(a + b*x^2)^(3/2)) + (a*x)/(7*b^2*(a + b*x^2)^(7/2))","B"
524,1,24,38,4.823878,"\text{Not used}","int(x^3/(a + b*x^2)^(9/2),x)","-\frac{7\,b\,x^2+2\,a}{35\,b^2\,{\left(b\,x^2+a\right)}^{7/2}}","Not used",1,"-(2*a + 7*b*x^2)/(35*b^2*(a + b*x^2)^(7/2))","B"
525,1,70,68,4.760980,"\text{Not used}","int(x^2/(a + b*x^2)^(9/2),x)","\frac{8\,x}{105\,a^3\,b\,\sqrt{b\,x^2+a}}-\frac{x}{7\,b\,{\left(b\,x^2+a\right)}^{7/2}}+\frac{4\,x}{105\,a^2\,b\,{\left(b\,x^2+a\right)}^{3/2}}+\frac{x}{35\,a\,b\,{\left(b\,x^2+a\right)}^{5/2}}","Not used",1,"(8*x)/(105*a^3*b*(a + b*x^2)^(1/2)) - x/(7*b*(a + b*x^2)^(7/2)) + (4*x)/(105*a^2*b*(a + b*x^2)^(3/2)) + x/(35*a*b*(a + b*x^2)^(5/2))","B"
526,1,14,18,4.597026,"\text{Not used}","int(x/(a + b*x^2)^(9/2),x)","-\frac{1}{7\,b\,{\left(b\,x^2+a\right)}^{7/2}}","Not used",1,"-1/(7*b*(a + b*x^2)^(7/2))","B"
527,1,61,77,4.601826,"\text{Not used}","int(1/(a + b*x^2)^(9/2),x)","\frac{16\,x}{35\,a^4\,\sqrt{b\,x^2+a}}+\frac{8\,x}{35\,a^3\,{\left(b\,x^2+a\right)}^{3/2}}+\frac{6\,x}{35\,a^2\,{\left(b\,x^2+a\right)}^{5/2}}+\frac{x}{7\,a\,{\left(b\,x^2+a\right)}^{7/2}}","Not used",1,"(16*x)/(35*a^4*(a + b*x^2)^(1/2)) + (8*x)/(35*a^3*(a + b*x^2)^(3/2)) + (6*x)/(35*a^2*(a + b*x^2)^(5/2)) + x/(7*a*(a + b*x^2)^(7/2))","B"
528,1,75,95,4.853356,"\text{Not used}","int(1/(x*(a + b*x^2)^(9/2)),x)","\frac{\frac{b\,x^2+a}{5\,a^2}+\frac{1}{7\,a}+\frac{{\left(b\,x^2+a\right)}^2}{3\,a^3}+\frac{{\left(b\,x^2+a\right)}^3}{a^4}}{{\left(b\,x^2+a\right)}^{7/2}}-\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{a^{9/2}}","Not used",1,"((a + b*x^2)/(5*a^2) + 1/(7*a) + (a + b*x^2)^2/(3*a^3) + (a + b*x^2)^3/a^4)/(a + b*x^2)^(7/2) - atanh((a + b*x^2)^(1/2)/a^(1/2))/a^(9/2)","B"
529,1,76,100,4.714543,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(9/2)),x)","-\frac{\frac{1}{a^4}+\frac{128\,b\,x^2}{35\,a^5}}{x\,\sqrt{b\,x^2+a}}-\frac{29\,b\,x}{35\,a^4\,{\left(b\,x^2+a\right)}^{3/2}}-\frac{13\,b\,x}{35\,a^3\,{\left(b\,x^2+a\right)}^{5/2}}-\frac{b\,x}{7\,a^2\,{\left(b\,x^2+a\right)}^{7/2}}","Not used",1,"- (1/a^4 + (128*b*x^2)/(35*a^5))/(x*(a + b*x^2)^(1/2)) - (29*b*x)/(35*a^4*(a + b*x^2)^(3/2)) - (13*b*x)/(35*a^3*(a + b*x^2)^(5/2)) - (b*x)/(7*a^2*(a + b*x^2)^(7/2))","B"
530,1,113,126,4.958740,"\text{Not used}","int(1/(x^3*(a + b*x^2)^(9/2)),x)","\frac{9\,b\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^2+a}}{\sqrt{a}}\right)}{2\,a^{11/2}}-\frac{\frac{b}{7\,a}+\frac{3\,b\,{\left(b\,x^2+a\right)}^2}{5\,a^3}+\frac{3\,b\,{\left(b\,x^2+a\right)}^3}{a^4}-\frac{9\,b\,{\left(b\,x^2+a\right)}^4}{2\,a^5}+\frac{9\,b\,\left(b\,x^2+a\right)}{35\,a^2}}{a\,{\left(b\,x^2+a\right)}^{7/2}-{\left(b\,x^2+a\right)}^{9/2}}","Not used",1,"(9*b*atanh((a + b*x^2)^(1/2)/a^(1/2)))/(2*a^(11/2)) - (b/(7*a) + (3*b*(a + b*x^2)^2)/(5*a^3) + (3*b*(a + b*x^2)^3)/a^4 - (9*b*(a + b*x^2)^4)/(2*a^5) + (9*b*(a + b*x^2))/(35*a^2))/(a*(a + b*x^2)^(7/2) - (a + b*x^2)^(9/2))","B"
531,1,97,132,4.803052,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(9/2)),x)","\frac{\frac{128\,b}{21\,a^5}+\frac{256\,b^2\,x^2}{21\,a^6}}{x\,\sqrt{b\,x^2+a}}-\frac{\frac{1}{3\,a^2}+\frac{19\,b\,x^2}{21\,a^3}}{x^3\,{\left(b\,x^2+a\right)}^{5/2}}-\frac{32\,b}{21\,a^4\,x\,{\left(b\,x^2+a\right)}^{3/2}}+\frac{b^2\,x}{7\,a^3\,{\left(b\,x^2+a\right)}^{7/2}}","Not used",1,"((128*b)/(21*a^5) + (256*b^2*x^2)/(21*a^6))/(x*(a + b*x^2)^(1/2)) - (1/(3*a^2) + (19*b*x^2)/(21*a^3))/(x^3*(a + b*x^2)^(5/2)) - (32*b)/(21*a^4*x*(a + b*x^2)^(3/2)) + (b^2*x)/(7*a^3*(a + b*x^2)^(7/2))","B"
532,1,21,46,0.024667,"\text{Not used}","int(x^5/(4*x^2 + 9)^(1/2),x)","\frac{\sqrt{x^2+\frac{9}{4}}\,\left(\frac{x^4}{5}-\frac{3\,x^2}{5}+\frac{27}{10}\right)}{2}","Not used",1,"((x^2 + 9/4)^(1/2)*(x^4/5 - (3*x^2)/5 + 27/10))/2","B"
533,1,25,45,0.031368,"\text{Not used}","int(x^4/(4*x^2 + 9)^(1/2),x)","\frac{243\,\mathrm{asinh}\left(\frac{2\,x}{3}\right)}{256}-\frac{\sqrt{x^2+\frac{9}{4}}\,\left(\frac{27\,x}{32}-\frac{x^3}{4}\right)}{2}","Not used",1,"(243*asinh((2*x)/3))/256 - ((x^2 + 9/4)^(1/2)*((27*x)/32 - x^3/4))/2","B"
534,1,15,31,0.017815,"\text{Not used}","int(x^3/(4*x^2 + 9)^(1/2),x)","\sqrt{x^2+\frac{9}{4}}\,\left(\frac{x^2}{6}-\frac{3}{4}\right)","Not used",1,"(x^2 + 9/4)^(1/2)*(x^2/6 - 3/4)","B"
535,1,17,27,0.032582,"\text{Not used}","int(x^2/(4*x^2 + 9)^(1/2),x)","\frac{x\,\sqrt{x^2+\frac{9}{4}}}{4}-\frac{9\,\mathrm{asinh}\left(\frac{2\,x}{3}\right)}{16}","Not used",1,"(x*(x^2 + 9/4)^(1/2))/4 - (9*asinh((2*x)/3))/16","B"
536,1,9,15,0.015064,"\text{Not used}","int(x/(4*x^2 + 9)^(1/2),x)","\frac{\sqrt{x^2+\frac{9}{4}}}{2}","Not used",1,"(x^2 + 9/4)^(1/2)/2","B"
537,1,6,10,0.027344,"\text{Not used}","int(1/(4*x^2 + 9)^(1/2),x)","\frac{\mathrm{asinh}\left(\frac{2\,x}{3}\right)}{2}","Not used",1,"asinh((2*x)/3)/2","B"
538,1,12,20,0.036685,"\text{Not used}","int(1/(x*(4*x^2 + 9)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\frac{2\,\sqrt{x^2+\frac{9}{4}}}{3}\right)}{3}","Not used",1,"-atanh((2*(x^2 + 9/4)^(1/2))/3)/3","B"
539,1,12,18,0.021721,"\text{Not used}","int(1/(x^2*(4*x^2 + 9)^(1/2)),x)","-\frac{2\,\sqrt{x^2+\frac{9}{4}}}{9\,x}","Not used",1,"-(2*(x^2 + 9/4)^(1/2))/(9*x)","B"
540,1,25,39,0.028272,"\text{Not used}","int(1/(x^3*(4*x^2 + 9)^(1/2)),x)","\frac{2\,\mathrm{atanh}\left(\frac{2\,\sqrt{x^2+\frac{9}{4}}}{3}\right)}{27}-\frac{\sqrt{x^2+\frac{9}{4}}}{9\,x^2}","Not used",1,"(2*atanh((2*(x^2 + 9/4)^(1/2))/3))/27 - (x^2 + 9/4)^(1/2)/(9*x^2)","B"
541,1,19,37,0.020917,"\text{Not used}","int(1/(x^4*(4*x^2 + 9)^(1/2)),x)","\sqrt{x^2+\frac{9}{4}}\,\left(\frac{16}{243\,x}-\frac{2}{27\,x^3}\right)","Not used",1,"(x^2 + 9/4)^(1/2)*(16/(243*x) - 2/(27*x^3))","B"
542,1,33,57,0.029496,"\text{Not used}","int(1/(x^5*(4*x^2 + 9)^(1/2)),x)","\frac{\sqrt{x^2+\frac{9}{4}}\,\left(\frac{2}{27\,x^2}-\frac{1}{9\,x^4}\right)}{2}-\frac{2\,\mathrm{atanh}\left(\frac{2\,\sqrt{x^2+\frac{9}{4}}}{3}\right)}{81}","Not used",1,"((x^2 + 9/4)^(1/2)*(2/(27*x^2) - 1/(9*x^4)))/2 - (2*atanh((2*(x^2 + 9/4)^(1/2))/3))/81","B"
543,1,23,46,0.041167,"\text{Not used}","int(x^5/(9 - 4*x^2)^(1/2),x)","-\frac{\sqrt{\frac{9}{4}-x^2}\,\left(\frac{x^4}{5}+\frac{3\,x^2}{5}+\frac{27}{10}\right)}{2}","Not used",1,"-((9/4 - x^2)^(1/2)*((3*x^2)/5 + x^4/5 + 27/10))/2","B"
544,1,27,45,0.030344,"\text{Not used}","int(x^4/(9 - 4*x^2)^(1/2),x)","\frac{243\,\mathrm{asin}\left(\frac{2\,x}{3}\right)}{256}-\frac{\sqrt{\frac{9}{4}-x^2}\,\left(\frac{x^3}{4}+\frac{27\,x}{32}\right)}{2}","Not used",1,"(243*asin((2*x)/3))/256 - ((9/4 - x^2)^(1/2)*((27*x)/32 + x^3/4))/2","B"
545,1,18,31,0.017203,"\text{Not used}","int(x^3/(9 - 4*x^2)^(1/2),x)","-\frac{\sqrt{\frac{9}{4}-x^2}\,\left(\frac{x^2}{3}+\frac{3}{2}\right)}{2}","Not used",1,"-((9/4 - x^2)^(1/2)*(x^2/3 + 3/2))/2","B"
546,1,19,27,0.022143,"\text{Not used}","int(x^2/(9 - 4*x^2)^(1/2),x)","\frac{9\,\mathrm{asin}\left(\frac{2\,x}{3}\right)}{16}-\frac{x\,\sqrt{\frac{9}{4}-x^2}}{4}","Not used",1,"(9*asin((2*x)/3))/16 - (x*(9/4 - x^2)^(1/2))/4","B"
547,1,11,15,4.555694,"\text{Not used}","int(x/(9 - 4*x^2)^(1/2),x)","-\frac{\sqrt{\frac{9}{4}-x^2}}{2}","Not used",1,"-(9/4 - x^2)^(1/2)/2","B"
548,1,6,10,0.007704,"\text{Not used}","int(1/(9 - 4*x^2)^(1/2),x)","\frac{\mathrm{asin}\left(\frac{2\,x}{3}\right)}{2}","Not used",1,"asin((2*x)/3)/2","B"
549,1,20,20,0.116035,"\text{Not used}","int(1/(x*(9 - 4*x^2)^(1/2)),x)","\frac{\ln\left(\sqrt{\frac{9}{4\,x^2}-1}-\frac{3\,\sqrt{\frac{1}{x^2}}}{2}\right)}{3}","Not used",1,"log((9/(4*x^2) - 1)^(1/2) - (3*(1/x^2)^(1/2))/2)/3","B"
550,1,14,18,0.021845,"\text{Not used}","int(1/(x^2*(9 - 4*x^2)^(1/2)),x)","-\frac{2\,\sqrt{\frac{9}{4}-x^2}}{9\,x}","Not used",1,"-(2*(9/4 - x^2)^(1/2))/(9*x)","B"
551,1,35,39,0.025727,"\text{Not used}","int(1/(x^3*(9 - 4*x^2)^(1/2)),x)","\frac{2\,\ln\left(\sqrt{\frac{9}{4\,x^2}-1}-\frac{3\,\sqrt{\frac{1}{x^2}}}{2}\right)}{27}-\frac{\sqrt{\frac{9}{4}-x^2}}{9\,x^2}","Not used",1,"(2*log((9/(4*x^2) - 1)^(1/2) - (3*(1/x^2)^(1/2))/2))/27 - (9/4 - x^2)^(1/2)/(9*x^2)","B"
552,1,22,37,0.020980,"\text{Not used}","int(1/(x^4*(9 - 4*x^2)^(1/2)),x)","-\sqrt{\frac{9}{4}-x^2}\,\left(\frac{16}{243\,x}+\frac{2}{27\,x^3}\right)","Not used",1,"-(9/4 - x^2)^(1/2)*(16/(243*x) + 2/(27*x^3))","B"
553,1,49,57,4.505017,"\text{Not used}","int(1/(x^5*(9 - 4*x^2)^(1/2)),x)","\frac{2\,\ln\left(\sqrt{\frac{9}{4\,x^2}-1}-\sqrt{\frac{9}{4\,x^2}}\right)}{81}-\frac{\sqrt{\frac{9}{4}-x^2}\,\left(\frac{2}{27\,x^2}+\frac{1}{9\,x^4}\right)}{2}","Not used",1,"(2*log((9/(4*x^2) - 1)^(1/2) - (9/(4*x^2))^(1/2)))/81 - ((9/4 - x^2)^(1/2)*(2/(27*x^2) + 1/(9*x^4)))/2","B"
554,1,22,46,4.739738,"\text{Not used}","int(x^5/(4*x^2 - 9)^(1/2),x)","\sqrt{4\,x^2-9}\,\left(\frac{x^4}{20}+\frac{3\,x^2}{20}+\frac{27}{40}\right)","Not used",1,"(4*x^2 - 9)^(1/2)*((3*x^2)/20 + x^4/20 + 27/40)","B"
555,0,-1,54,0.000000,"\text{Not used}","int(x^4/(4*x^2 - 9)^(1/2),x)","\int \frac{x^4}{\sqrt{4\,x^2-9}} \,d x","Not used",1,"int(x^4/(4*x^2 - 9)^(1/2), x)","F"
556,1,18,31,4.860990,"\text{Not used}","int(x^3/(4*x^2 - 9)^(1/2),x)","\frac{\left(2\,x^2+9\right)\,\sqrt{4\,x^2-9}}{24}","Not used",1,"((2*x^2 + 9)*(4*x^2 - 9)^(1/2))/24","B"
557,1,29,36,0.101464,"\text{Not used}","int(x^2/(4*x^2 - 9)^(1/2),x)","\frac{9\,\ln\left(x+\frac{\sqrt{4\,x^2-9}}{2}\right)}{16}+\frac{x\,\sqrt{4\,x^2-9}}{8}","Not used",1,"(9*log(x + (4*x^2 - 9)^(1/2)/2))/16 + (x*(4*x^2 - 9)^(1/2))/8","B"
558,1,11,15,0.144624,"\text{Not used}","int(x/(4*x^2 - 9)^(1/2),x)","\frac{\sqrt{4\,x^2-9}}{4}","Not used",1,"(4*x^2 - 9)^(1/2)/4","B"
559,1,16,19,4.745951,"\text{Not used}","int(1/(4*x^2 - 9)^(1/2),x)","\frac{\ln\left(2\,x+\sqrt{4\,x^2-9}\right)}{2}","Not used",1,"log(2*x + (4*x^2 - 9)^(1/2))/2","B"
560,1,20,20,0.122488,"\text{Not used}","int(1/(x*(4*x^2 - 9)^(1/2)),x)","\frac{\ln\left(\frac{\sqrt{4\,x^2-9}+3{}\mathrm{i}}{x}\right)\,1{}\mathrm{i}}{3}","Not used",1,"(log(((4*x^2 - 9)^(1/2) + 3i)/x)*1i)/3","B"
561,1,14,18,4.747408,"\text{Not used}","int(1/(x^2*(4*x^2 - 9)^(1/2)),x)","\frac{\sqrt{4\,x^2-9}}{9\,x}","Not used",1,"(4*x^2 - 9)^(1/2)/(9*x)","B"
562,1,29,39,4.881027,"\text{Not used}","int(1/(x^3*(4*x^2 - 9)^(1/2)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{4\,x^2-9}}{3}\right)}{27}+\frac{\sqrt{4\,x^2-9}}{18\,x^2}","Not used",1,"(2*atan((4*x^2 - 9)^(1/2)/3))/27 + (4*x^2 - 9)^(1/2)/(18*x^2)","B"
563,1,31,37,4.874128,"\text{Not used}","int(1/(x^4*(4*x^2 - 9)^(1/2)),x)","\frac{8\,x^2\,\sqrt{4\,x^2-9}+9\,\sqrt{4\,x^2-9}}{243\,x^3}","Not used",1,"(8*x^2*(4*x^2 - 9)^(1/2) + 9*(4*x^2 - 9)^(1/2))/(243*x^3)","B"
564,1,57,57,5.319178,"\text{Not used}","int(1/(x^5*(4*x^2 - 9)^(1/2)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{4\,x^2-9}}{3}\right)}{81}+\frac{\frac{10\,\sqrt{4\,x^2-9}}{9}+\frac{2\,{\left(4\,x^2-9\right)}^{3/2}}{27}}{72\,x^2+{\left(4\,x^2-9\right)}^2-81}","Not used",1,"(2*atan((4*x^2 - 9)^(1/2)/3))/81 + ((10*(4*x^2 - 9)^(1/2))/9 + (2*(4*x^2 - 9)^(3/2))/27)/(72*x^2 + (4*x^2 - 9)^2 - 81)","B"
565,1,23,46,5.294994,"\text{Not used}","int(x^5/(- 4*x^2 - 9)^(1/2),x)","-\sqrt{-4\,x^2-9}\,\left(\frac{x^4}{20}-\frac{3\,x^2}{20}+\frac{27}{40}\right)","Not used",1,"-(- 4*x^2 - 9)^(1/2)*(x^4/20 - (3*x^2)/20 + 27/40)","B"
566,0,-1,54,0.000000,"\text{Not used}","int(x^4/(- 4*x^2 - 9)^(1/2),x)","\int \frac{x^4}{\sqrt{-4\,x^2-9}} \,d x","Not used",1,"int(x^4/(- 4*x^2 - 9)^(1/2), x)","F"
567,1,18,31,5.066904,"\text{Not used}","int(x^3/(- 4*x^2 - 9)^(1/2),x)","-\frac{\left(2\,x^2-9\right)\,\sqrt{-4\,x^2-9}}{24}","Not used",1,"-((2*x^2 - 9)*(- 4*x^2 - 9)^(1/2))/24","B"
568,1,31,36,0.123901,"\text{Not used}","int(x^2/(- 4*x^2 - 9)^(1/2),x)","-\frac{x\,\sqrt{-4\,x^2-9}}{8}+\frac{\ln\left(x-\frac{\sqrt{-4\,x^2-9}\,1{}\mathrm{i}}{2}\right)\,9{}\mathrm{i}}{16}","Not used",1,"(log(x - ((- 4*x^2 - 9)^(1/2)*1i)/2)*9i)/16 - (x*(- 4*x^2 - 9)^(1/2))/8","B"
569,1,11,15,4.985536,"\text{Not used}","int(x/(- 4*x^2 - 9)^(1/2),x)","-\frac{\sqrt{-4\,x^2-9}}{4}","Not used",1,"-(- 4*x^2 - 9)^(1/2)/4","B"
570,1,15,19,0.106632,"\text{Not used}","int(1/(- 4*x^2 - 9)^(1/2),x)","\frac{\mathrm{atan}\left(\frac{2\,x}{\sqrt{-4\,x^2-9}}\right)}{2}","Not used",1,"atan((2*x)/(- 4*x^2 - 9)^(1/2))/2","B"
571,1,14,20,5.271802,"\text{Not used}","int(1/(x*(- 4*x^2 - 9)^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{-4\,x^2-9}}{3}\right)}{3}","Not used",1,"atan((- 4*x^2 - 9)^(1/2)/3)/3","B"
572,1,14,18,5.038346,"\text{Not used}","int(1/(x^2*(- 4*x^2 - 9)^(1/2)),x)","\frac{\sqrt{-4\,x^2-9}}{9\,x}","Not used",1,"(- 4*x^2 - 9)^(1/2)/(9*x)","B"
573,1,29,39,5.179307,"\text{Not used}","int(1/(x^3*(- 4*x^2 - 9)^(1/2)),x)","\frac{\sqrt{-4\,x^2-9}}{18\,x^2}-\frac{2\,\mathrm{atan}\left(\frac{\sqrt{-4\,x^2-9}}{3}\right)}{27}","Not used",1,"(- 4*x^2 - 9)^(1/2)/(18*x^2) - (2*atan((- 4*x^2 - 9)^(1/2)/3))/27","B"
574,1,31,37,5.081527,"\text{Not used}","int(1/(x^4*(- 4*x^2 - 9)^(1/2)),x)","-\frac{8\,x^2\,\sqrt{-4\,x^2-9}-9\,\sqrt{-4\,x^2-9}}{243\,x^3}","Not used",1,"-(8*x^2*(- 4*x^2 - 9)^(1/2) - 9*(- 4*x^2 - 9)^(1/2))/(243*x^3)","B"
575,1,60,57,5.070138,"\text{Not used}","int(1/(x^5*(- 4*x^2 - 9)^(1/2)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{-4\,x^2-9}}{3}\right)}{81}-\frac{\frac{10\,\sqrt{-4\,x^2-9}}{9}+\frac{2\,{\left(-4\,x^2-9\right)}^{3/2}}{27}}{72\,x^2-{\left(4\,x^2+9\right)}^2+81}","Not used",1,"(2*atan((- 4*x^2 - 9)^(1/2)/3))/81 - ((10*(- 4*x^2 - 9)^(1/2))/9 + (2*(- 4*x^2 - 9)^(3/2))/27)/(72*x^2 - (4*x^2 + 9)^2 + 81)","B"
576,1,11,17,0.036075,"\text{Not used}","int(1/(b*x^2 + 9)^(1/2),x)","\frac{\mathrm{asinh}\left(\frac{\sqrt{b}\,x}{3}\right)}{\sqrt{b}}","Not used",1,"asinh((b^(1/2)*x)/3)/b^(1/2)","B"
577,1,15,17,0.035777,"\text{Not used}","int(1/(9 - b*x^2)^(1/2),x)","\frac{\mathrm{asinh}\left(\frac{\sqrt{-b}\,x}{3}\right)}{\sqrt{-b}}","Not used",1,"asinh(((-b)^(1/2)*x)/3)/(-b)^(1/2)","B"
578,1,20,25,0.082244,"\text{Not used}","int(1/(b*x^2 - 9)^(1/2),x)","\frac{\ln\left(\sqrt{b\,x^2-9}+\sqrt{b}\,x\right)}{\sqrt{b}}","Not used",1,"log((b*x^2 - 9)^(1/2) + b^(1/2)*x)/b^(1/2)","B"
579,1,25,26,0.092312,"\text{Not used}","int(1/(- b*x^2 - 9)^(1/2),x)","\frac{\ln\left(\sqrt{-b\,x^2-9}+\sqrt{-b}\,x\right)}{\sqrt{-b}}","Not used",1,"log((- b*x^2 - 9)^(1/2) + (-b)^(1/2)*x)/(-b)^(1/2)","B"
580,1,20,19,5.119396,"\text{Not used}","int(1/(Pi + b*x^2)^(1/2),x)","\frac{\ln\left(\sqrt{b}\,x+\sqrt{b\,x^2+\Pi }\right)}{\sqrt{b}}","Not used",1,"log(b^(1/2)*x + (Pi + b*x^2)^(1/2))/b^(1/2)","B"
581,1,25,19,0.101385,"\text{Not used}","int(1/(Pi - b*x^2)^(1/2),x)","\frac{\ln\left(\sqrt{\Pi -b\,x^2}+\sqrt{-b}\,x\right)}{\sqrt{-b}}","Not used",1,"log((Pi - b*x^2)^(1/2) + (-b)^(1/2)*x)/(-b)^(1/2)","B"
582,1,22,27,0.128847,"\text{Not used}","int(1/(b*x^2 - Pi)^(1/2),x)","\frac{\ln\left(\sqrt{b\,x^2-\Pi }+\sqrt{b}\,x\right)}{\sqrt{b}}","Not used",1,"log((b*x^2 - Pi)^(1/2) + b^(1/2)*x)/b^(1/2)","B"
583,1,27,28,5.094546,"\text{Not used}","int(1/(- Pi - b*x^2)^(1/2),x)","\frac{\ln\left(\sqrt{-b\,x^2-\Pi }+\sqrt{-b}\,x\right)}{\sqrt{-b}}","Not used",1,"log((- Pi - b*x^2)^(1/2) + (-b)^(1/2)*x)/(-b)^(1/2)","B"
584,1,20,25,0.002078,"\text{Not used}","int(1/(a + b*x^2)^(1/2),x)","\frac{\ln\left(\sqrt{b}\,x+\sqrt{b\,x^2+a}\right)}{\sqrt{b}}","Not used",1,"log(b^(1/2)*x + (a + b*x^2)^(1/2))/b^(1/2)","B"
585,1,25,26,0.114381,"\text{Not used}","int(1/(a - b*x^2)^(1/2),x)","\frac{\ln\left(\sqrt{a-b\,x^2}+\sqrt{-b}\,x\right)}{\sqrt{-b}}","Not used",1,"log((a - b*x^2)^(1/2) + (-b)^(1/2)*x)/(-b)^(1/2)","B"
586,1,22,27,0.124540,"\text{Not used}","int(1/(b*x^2 - a)^(1/2),x)","\frac{\ln\left(\sqrt{b\,x^2-a}+\sqrt{b}\,x\right)}{\sqrt{b}}","Not used",1,"log((b*x^2 - a)^(1/2) + b^(1/2)*x)/b^(1/2)","B"
587,1,27,28,5.125324,"\text{Not used}","int(1/(- a - b*x^2)^(1/2),x)","\frac{\ln\left(\sqrt{-b\,x^2-a}+\sqrt{-b}\,x\right)}{\sqrt{-b}}","Not used",1,"log((- a - b*x^2)^(1/2) + (-b)^(1/2)*x)/(-b)^(1/2)","B"
588,1,14,16,4.738040,"\text{Not used}","int(1/(a^2 - x^2)^(1/2),x)","\mathrm{atan}\left(\frac{x}{\sqrt{a^2-x^2}}\right)","Not used",1,"atan(x/(a^2 - x^2)^(1/2))","B"
589,0,-1,184,0.000000,"\text{Not used}","int((c*x)^(7/2)*(a + b*x^2)^(1/2),x)","\int {\left(c\,x\right)}^{7/2}\,\sqrt{b\,x^2+a} \,d x","Not used",1,"int((c*x)^(7/2)*(a + b*x^2)^(1/2), x)","F"
590,0,-1,301,0.000000,"\text{Not used}","int((c*x)^(5/2)*(a + b*x^2)^(1/2),x)","\int {\left(c\,x\right)}^{5/2}\,\sqrt{b\,x^2+a} \,d x","Not used",1,"int((c*x)^(5/2)*(a + b*x^2)^(1/2), x)","F"
591,0,-1,153,0.000000,"\text{Not used}","int((c*x)^(3/2)*(a + b*x^2)^(1/2),x)","\int {\left(c\,x\right)}^{3/2}\,\sqrt{b\,x^2+a} \,d x","Not used",1,"int((c*x)^(3/2)*(a + b*x^2)^(1/2), x)","F"
592,0,-1,269,0.000000,"\text{Not used}","int((c*x)^(1/2)*(a + b*x^2)^(1/2),x)","\int \sqrt{c\,x}\,\sqrt{b\,x^2+a} \,d x","Not used",1,"int((c*x)^(1/2)*(a + b*x^2)^(1/2), x)","F"
593,0,-1,126,0.000000,"\text{Not used}","int((a + b*x^2)^(1/2)/(c*x)^(1/2),x)","\int \frac{\sqrt{b\,x^2+a}}{\sqrt{c\,x}} \,d x","Not used",1,"int((a + b*x^2)^(1/2)/(c*x)^(1/2), x)","F"
594,0,-1,263,0.000000,"\text{Not used}","int((a + b*x^2)^(1/2)/(c*x)^(3/2),x)","\int \frac{\sqrt{b\,x^2+a}}{{\left(c\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x^2)^(1/2)/(c*x)^(3/2), x)","F"
595,0,-1,126,0.000000,"\text{Not used}","int((a + b*x^2)^(1/2)/(c*x)^(5/2),x)","\int \frac{\sqrt{b\,x^2+a}}{{\left(c\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x^2)^(1/2)/(c*x)^(5/2), x)","F"
596,0,-1,303,0.000000,"\text{Not used}","int((a + b*x^2)^(1/2)/(c*x)^(7/2),x)","\int \frac{\sqrt{b\,x^2+a}}{{\left(c\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + b*x^2)^(1/2)/(c*x)^(7/2), x)","F"
597,0,-1,212,0.000000,"\text{Not used}","int((c*x)^(7/2)*(a + b*x^2)^(3/2),x)","\int {\left(c\,x\right)}^{7/2}\,{\left(b\,x^2+a\right)}^{3/2} \,d x","Not used",1,"int((c*x)^(7/2)*(a + b*x^2)^(3/2), x)","F"
598,0,-1,329,0.000000,"\text{Not used}","int((c*x)^(5/2)*(a + b*x^2)^(3/2),x)","\int {\left(c\,x\right)}^{5/2}\,{\left(b\,x^2+a\right)}^{3/2} \,d x","Not used",1,"int((c*x)^(5/2)*(a + b*x^2)^(3/2), x)","F"
599,0,-1,181,0.000000,"\text{Not used}","int((c*x)^(3/2)*(a + b*x^2)^(3/2),x)","\int {\left(c\,x\right)}^{3/2}\,{\left(b\,x^2+a\right)}^{3/2} \,d x","Not used",1,"int((c*x)^(3/2)*(a + b*x^2)^(3/2), x)","F"
600,0,-1,297,0.000000,"\text{Not used}","int((c*x)^(1/2)*(a + b*x^2)^(3/2),x)","\int \sqrt{c\,x}\,{\left(b\,x^2+a\right)}^{3/2} \,d x","Not used",1,"int((c*x)^(1/2)*(a + b*x^2)^(3/2), x)","F"
601,0,-1,152,0.000000,"\text{Not used}","int((a + b*x^2)^(3/2)/(c*x)^(1/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}}{\sqrt{c\,x}} \,d x","Not used",1,"int((a + b*x^2)^(3/2)/(c*x)^(1/2), x)","F"
602,0,-1,296,0.000000,"\text{Not used}","int((a + b*x^2)^(3/2)/(c*x)^(3/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}}{{\left(c\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x^2)^(3/2)/(c*x)^(3/2), x)","F"
603,0,-1,152,0.000000,"\text{Not used}","int((a + b*x^2)^(3/2)/(c*x)^(5/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}}{{\left(c\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x^2)^(3/2)/(c*x)^(5/2), x)","F"
604,0,-1,297,0.000000,"\text{Not used}","int((a + b*x^2)^(3/2)/(c*x)^(7/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}}{{\left(c\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + b*x^2)^(3/2)/(c*x)^(7/2), x)","F"
605,0,-1,152,0.000000,"\text{Not used}","int((a + b*x^2)^(3/2)/(c*x)^(9/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}}{{\left(c\,x\right)}^{9/2}} \,d x","Not used",1,"int((a + b*x^2)^(3/2)/(c*x)^(9/2), x)","F"
606,0,-1,331,0.000000,"\text{Not used}","int((a + b*x^2)^(3/2)/(c*x)^(11/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}}{{\left(c\,x\right)}^{11/2}} \,d x","Not used",1,"int((a + b*x^2)^(3/2)/(c*x)^(11/2), x)","F"
607,0,-1,128,0.000000,"\text{Not used}","int((c*x)^(5/2)*(3*a - 2*a*x^2)^(1/2),x)","\int {\left(c\,x\right)}^{5/2}\,\sqrt{3\,a-2\,a\,x^2} \,d x","Not used",1,"int((c*x)^(5/2)*(3*a - 2*a*x^2)^(1/2), x)","F"
608,0,-1,117,0.000000,"\text{Not used}","int((c*x)^(3/2)*(3*a - 2*a*x^2)^(1/2),x)","\int {\left(c\,x\right)}^{3/2}\,\sqrt{3\,a-2\,a\,x^2} \,d x","Not used",1,"int((c*x)^(3/2)*(3*a - 2*a*x^2)^(1/2), x)","F"
609,0,-1,99,0.000000,"\text{Not used}","int((c*x)^(1/2)*(3*a - 2*a*x^2)^(1/2),x)","\int \sqrt{c\,x}\,\sqrt{3\,a-2\,a\,x^2} \,d x","Not used",1,"int((c*x)^(1/2)*(3*a - 2*a*x^2)^(1/2), x)","F"
610,0,-1,94,0.000000,"\text{Not used}","int((3*a - 2*a*x^2)^(1/2)/(c*x)^(1/2),x)","\int \frac{\sqrt{3\,a-2\,a\,x^2}}{\sqrt{c\,x}} \,d x","Not used",1,"int((3*a - 2*a*x^2)^(1/2)/(c*x)^(1/2), x)","F"
611,0,-1,98,0.000000,"\text{Not used}","int((3*a - 2*a*x^2)^(1/2)/(c*x)^(3/2),x)","\int \frac{\sqrt{3\,a-2\,a\,x^2}}{{\left(c\,x\right)}^{3/2}} \,d x","Not used",1,"int((3*a - 2*a*x^2)^(1/2)/(c*x)^(3/2), x)","F"
612,0,-1,96,0.000000,"\text{Not used}","int((3*a - 2*a*x^2)^(1/2)/(c*x)^(5/2),x)","\int \frac{\sqrt{3\,a-2\,a\,x^2}}{{\left(c\,x\right)}^{5/2}} \,d x","Not used",1,"int((3*a - 2*a*x^2)^(1/2)/(c*x)^(5/2), x)","F"
613,0,-1,156,0.000000,"\text{Not used}","int((c*x)^(7/2)/(a + b*x^2)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{7/2}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int((c*x)^(7/2)/(a + b*x^2)^(1/2), x)","F"
614,0,-1,273,0.000000,"\text{Not used}","int((c*x)^(5/2)/(a + b*x^2)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int((c*x)^(5/2)/(a + b*x^2)^(1/2), x)","F"
615,0,-1,127,0.000000,"\text{Not used}","int((c*x)^(3/2)/(a + b*x^2)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int((c*x)^(3/2)/(a + b*x^2)^(1/2), x)","F"
616,0,-1,236,0.000000,"\text{Not used}","int((c*x)^(1/2)/(a + b*x^2)^(1/2),x)","\int \frac{\sqrt{c\,x}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int((c*x)^(1/2)/(a + b*x^2)^(1/2), x)","F"
617,0,-1,97,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(a + b*x^2)^(1/2)),x)","\int \frac{1}{\sqrt{c\,x}\,\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(a + b*x^2)^(1/2)), x)","F"
618,0,-1,268,0.000000,"\text{Not used}","int(1/((c*x)^(3/2)*(a + b*x^2)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/2}\,\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(1/((c*x)^(3/2)*(a + b*x^2)^(1/2)), x)","F"
619,0,-1,129,0.000000,"\text{Not used}","int(1/((c*x)^(5/2)*(a + b*x^2)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/2}\,\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(1/((c*x)^(5/2)*(a + b*x^2)^(1/2)), x)","F"
620,0,-1,306,0.000000,"\text{Not used}","int(1/((c*x)^(7/2)*(a + b*x^2)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{7/2}\,\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(1/((c*x)^(7/2)*(a + b*x^2)^(1/2)), x)","F"
621,0,-1,153,0.000000,"\text{Not used}","int((c*x)^(7/2)/(a + b*x^2)^(3/2),x)","\int \frac{{\left(c\,x\right)}^{7/2}}{{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^(7/2)/(a + b*x^2)^(3/2), x)","F"
622,0,-1,266,0.000000,"\text{Not used}","int((c*x)^(5/2)/(a + b*x^2)^(3/2),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^(5/2)/(a + b*x^2)^(3/2), x)","F"
623,0,-1,125,0.000000,"\text{Not used}","int((c*x)^(3/2)/(a + b*x^2)^(3/2),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^(3/2)/(a + b*x^2)^(3/2), x)","F"
624,0,-1,266,0.000000,"\text{Not used}","int((c*x)^(1/2)/(a + b*x^2)^(3/2),x)","\int \frac{\sqrt{c\,x}}{{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^(1/2)/(a + b*x^2)^(3/2), x)","F"
625,0,-1,126,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(a + b*x^2)^(3/2)),x)","\int \frac{1}{\sqrt{c\,x}\,{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(a + b*x^2)^(3/2)), x)","F"
626,0,-1,296,0.000000,"\text{Not used}","int(1/((c*x)^(3/2)*(a + b*x^2)^(3/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/2}\,{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/((c*x)^(3/2)*(a + b*x^2)^(3/2)), x)","F"
627,0,-1,154,0.000000,"\text{Not used}","int(1/((c*x)^(5/2)*(a + b*x^2)^(3/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/2}\,{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/((c*x)^(5/2)*(a + b*x^2)^(3/2)), x)","F"
628,0,-1,331,0.000000,"\text{Not used}","int(1/((c*x)^(7/2)*(a + b*x^2)^(3/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{7/2}\,{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(1/((c*x)^(7/2)*(a + b*x^2)^(3/2)), x)","F"
629,0,-1,155,0.000000,"\text{Not used}","int((c*x)^(7/2)/(a + b*x^2)^(5/2),x)","\int \frac{{\left(c\,x\right)}^{7/2}}{{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((c*x)^(7/2)/(a + b*x^2)^(5/2), x)","F"
630,0,-1,304,0.000000,"\text{Not used}","int((c*x)^(5/2)/(a + b*x^2)^(5/2),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((c*x)^(5/2)/(a + b*x^2)^(5/2), x)","F"
631,0,-1,156,0.000000,"\text{Not used}","int((c*x)^(3/2)/(a + b*x^2)^(5/2),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((c*x)^(3/2)/(a + b*x^2)^(5/2), x)","F"
632,0,-1,302,0.000000,"\text{Not used}","int((c*x)^(1/2)/(a + b*x^2)^(5/2),x)","\int \frac{\sqrt{c\,x}}{{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((c*x)^(1/2)/(a + b*x^2)^(5/2), x)","F"
633,0,-1,157,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(a + b*x^2)^(5/2)),x)","\int \frac{1}{\sqrt{c\,x}\,{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(a + b*x^2)^(5/2)), x)","F"
634,0,-1,333,0.000000,"\text{Not used}","int(1/((c*x)^(3/2)*(a + b*x^2)^(5/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/2}\,{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/((c*x)^(3/2)*(a + b*x^2)^(5/2)), x)","F"
635,0,-1,185,0.000000,"\text{Not used}","int(1/((c*x)^(5/2)*(a + b*x^2)^(5/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/2}\,{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/((c*x)^(5/2)*(a + b*x^2)^(5/2)), x)","F"
636,0,-1,362,0.000000,"\text{Not used}","int(1/((c*x)^(7/2)*(a + b*x^2)^(5/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{7/2}\,{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(1/((c*x)^(7/2)*(a + b*x^2)^(5/2)), x)","F"
637,0,-1,107,0.000000,"\text{Not used}","int((c*x)^(5/2)/(3*a - 2*a*x^2)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{\sqrt{3\,a-2\,a\,x^2}} \,d x","Not used",1,"int((c*x)^(5/2)/(3*a - 2*a*x^2)^(1/2), x)","F"
638,0,-1,88,0.000000,"\text{Not used}","int((c*x)^(3/2)/(3*a - 2*a*x^2)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{\sqrt{3\,a-2\,a\,x^2}} \,d x","Not used",1,"int((c*x)^(3/2)/(3*a - 2*a*x^2)^(1/2), x)","F"
639,0,-1,67,0.000000,"\text{Not used}","int((c*x)^(1/2)/(3*a - 2*a*x^2)^(1/2),x)","\int \frac{\sqrt{c\,x}}{\sqrt{3\,a-2\,a\,x^2}} \,d x","Not used",1,"int((c*x)^(1/2)/(3*a - 2*a*x^2)^(1/2), x)","F"
640,0,-1,63,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(3*a - 2*a*x^2)^(1/2)),x)","\int \frac{1}{\sqrt{c\,x}\,\sqrt{3\,a-2\,a\,x^2}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(3*a - 2*a*x^2)^(1/2)), x)","F"
641,0,-1,107,0.000000,"\text{Not used}","int(1/((c*x)^(3/2)*(3*a - 2*a*x^2)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/2}\,\sqrt{3\,a-2\,a\,x^2}} \,d x","Not used",1,"int(1/((c*x)^(3/2)*(3*a - 2*a*x^2)^(1/2)), x)","F"
642,0,-1,98,0.000000,"\text{Not used}","int(1/((c*x)^(5/2)*(3*a - 2*a*x^2)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/2}\,\sqrt{3\,a-2\,a\,x^2}} \,d x","Not used",1,"int(1/((c*x)^(5/2)*(3*a - 2*a*x^2)^(1/2)), x)","F"
643,0,-1,110,0.000000,"\text{Not used}","int((c*x)^(5/2)/(3*a - 2*a*x^2)^(3/2),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{{\left(3\,a-2\,a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^(5/2)/(3*a - 2*a*x^2)^(3/2), x)","F"
644,0,-1,94,0.000000,"\text{Not used}","int((c*x)^(3/2)/(3*a - 2*a*x^2)^(3/2),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{{\left(3\,a-2\,a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^(3/2)/(3*a - 2*a*x^2)^(3/2), x)","F"
645,0,-1,101,0.000000,"\text{Not used}","int((c*x)^(1/2)/(3*a - 2*a*x^2)^(3/2),x)","\int \frac{\sqrt{c\,x}}{{\left(3\,a-2\,a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((c*x)^(1/2)/(3*a - 2*a*x^2)^(3/2), x)","F"
646,0,-1,96,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(3*a - 2*a*x^2)^(3/2)),x)","\int \frac{1}{\sqrt{c\,x}\,{\left(3\,a-2\,a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(3*a - 2*a*x^2)^(3/2)), x)","F"
647,0,-1,140,0.000000,"\text{Not used}","int(1/((c*x)^(3/2)*(3*a - 2*a*x^2)^(3/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/2}\,{\left(3\,a-2\,a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(1/((c*x)^(3/2)*(3*a - 2*a*x^2)^(3/2)), x)","F"
648,0,-1,132,0.000000,"\text{Not used}","int(1/((c*x)^(5/2)*(3*a - 2*a*x^2)^(3/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/2}\,{\left(3\,a-2\,a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(1/((c*x)^(5/2)*(3*a - 2*a*x^2)^(3/2)), x)","F"
649,0,-1,21,0.000000,"\text{Not used}","int(1/(x^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(1/(x^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
650,0,-1,67,0.000000,"\text{Not used}","int(1/(x^(1/2)*(a*x^2 + 1)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{a\,x^2+1}} \,d x","Not used",1,"int(1/(x^(1/2)*(a*x^2 + 1)^(1/2)), x)","F"
651,0,-1,50,0.000000,"\text{Not used}","int(x^m*(a + b*x^2)^(3/2),x)","\int x^m\,{\left(b\,x^2+a\right)}^{3/2} \,d x","Not used",1,"int(x^m*(a + b*x^2)^(3/2), x)","F"
652,0,-1,50,0.000000,"\text{Not used}","int(x^m*(a + b*x^2)^(1/2),x)","\int x^m\,\sqrt{b\,x^2+a} \,d x","Not used",1,"int(x^m*(a + b*x^2)^(1/2), x)","F"
653,0,-1,50,0.000000,"\text{Not used}","int(x^m/(a + b*x^2)^(1/2),x)","\int \frac{x^m}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(x^m/(a + b*x^2)^(1/2), x)","F"
654,0,-1,48,0.000000,"\text{Not used}","int(x^m/(a + b*x^2)^(3/2),x)","\int \frac{x^m}{{\left(b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(x^m/(a + b*x^2)^(3/2), x)","F"
655,0,-1,50,0.000000,"\text{Not used}","int(x^m/(a + b*x^2)^(5/2),x)","\int \frac{x^m}{{\left(b\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(x^m/(a + b*x^2)^(5/2), x)","F"
656,0,-1,50,0.000000,"\text{Not used}","int(x^(m + 2)/(a + b*x^2)^(1/2),x)","\int \frac{x^{m+2}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(x^(m + 2)/(a + b*x^2)^(1/2), x)","F"
657,0,-1,50,0.000000,"\text{Not used}","int(x^(m + 1)/(a + b*x^2)^(1/2),x)","\int \frac{x^{m+1}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(x^(m + 1)/(a + b*x^2)^(1/2), x)","F"
658,0,-1,50,0.000000,"\text{Not used}","int(x^m/(a + b*x^2)^(1/2),x)","\int \frac{x^m}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(x^m/(a + b*x^2)^(1/2), x)","F"
659,0,-1,46,0.000000,"\text{Not used}","int(x^(m - 1)/(a + b*x^2)^(1/2),x)","\int \frac{x^{m-1}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(x^(m - 1)/(a + b*x^2)^(1/2), x)","F"
660,0,-1,51,0.000000,"\text{Not used}","int(x^(m - 2)/(a + b*x^2)^(1/2),x)","\int \frac{x^{m-2}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(x^(m - 2)/(a + b*x^2)^(1/2), x)","F"
661,1,24,17,5.193397,"\text{Not used}","int((x^(m + 1)*(a*(m + 2) + b*x^2*(m + 3)))/(a + b*x^2)^(1/2),x)","\frac{x^{m+1}\,\left(b\,x^3+a\,x\right)}{\sqrt{b\,x^2+a}}","Not used",1,"(x^(m + 1)*(a*x + b*x^3))/(a + b*x^2)^(1/2)","B"
662,0,-1,17,0.000000,"\text{Not used}","int((a*x^(m + 1)*(m + 2))/(a + b*x^2)^(1/2) + (b*x^(m + 3)*(m + 3))/(a + b*x^2)^(1/2),x)","\int \frac{a\,x^{m+1}\,\left(m+2\right)}{\sqrt{b\,x^2+a}}+\frac{b\,x^{m+3}\,\left(m+3\right)}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int((a*x^(m + 1)*(m + 2))/(a + b*x^2)^(1/2) + (b*x^(m + 3)*(m + 3))/(a + b*x^2)^(1/2), x)","F"
663,1,13,15,5.430839,"\text{Not used}","int((x^(m - 1)*(a*m + b*x^2*(m - 1)))/(a + b*x^2)^(3/2),x)","\frac{x^m}{\sqrt{b\,x^2+a}}","Not used",1,"x^m/(a + b*x^2)^(1/2)","B"
664,0,-1,15,0.000000,"\text{Not used}","int((m*x^(m - 1))/(a + b*x^2)^(1/2) - (b*x^(m + 1))/(a + b*x^2)^(3/2),x)","-\int \frac{b\,x^{m+1}}{{\left(b\,x^2+a\right)}^{3/2}}-\frac{m\,x^{m-1}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"-int((b*x^(m + 1))/(a + b*x^2)^(3/2) - (m*x^(m - 1))/(a + b*x^2)^(1/2), x)","F"
665,1,55,80,5.253678,"\text{Not used}","int(x^7*(a + b*x^2)^(1/3),x)","{\left(b\,x^2+a\right)}^{1/3}\,\left(\frac{3\,x^8}{26}-\frac{243\,a^4}{3640\,b^4}+\frac{3\,a\,x^6}{260\,b}-\frac{27\,a^2\,x^4}{1820\,b^2}+\frac{81\,a^3\,x^2}{3640\,b^3}\right)","Not used",1,"(a + b*x^2)^(1/3)*((3*x^8)/26 - (243*a^4)/(3640*b^4) + (3*a*x^6)/(260*b) - (27*a^2*x^4)/(1820*b^2) + (81*a^3*x^2)/(3640*b^3))","B"
666,1,44,59,4.803389,"\text{Not used}","int(x^5*(a + b*x^2)^(1/3),x)","{\left(b\,x^2+a\right)}^{1/3}\,\left(\frac{3\,x^6}{20}+\frac{27\,a^3}{280\,b^3}+\frac{3\,a\,x^4}{140\,b}-\frac{9\,a^2\,x^2}{280\,b^2}\right)","Not used",1,"(a + b*x^2)^(1/3)*((3*x^6)/20 + (27*a^3)/(280*b^3) + (3*a*x^4)/(140*b) - (9*a^2*x^2)/(280*b^2))","B"
667,1,33,38,4.719669,"\text{Not used}","int(x^3*(a + b*x^2)^(1/3),x)","{\left(b\,x^2+a\right)}^{1/3}\,\left(\frac{3\,x^4}{14}-\frac{9\,a^2}{56\,b^2}+\frac{3\,a\,x^2}{56\,b}\right)","Not used",1,"(a + b*x^2)^(1/3)*((3*x^4)/14 - (9*a^2)/(56*b^2) + (3*a*x^2)/(56*b))","B"
668,1,14,18,4.656777,"\text{Not used}","int(x*(a + b*x^2)^(1/3),x)","\frac{3\,{\left(b\,x^2+a\right)}^{4/3}}{8\,b}","Not used",1,"(3*(a + b*x^2)^(4/3))/(8*b)","B"
669,1,115,101,4.735421,"\text{Not used}","int((a + b*x^2)^(1/3)/x,x)","\frac{a^{1/3}\,\ln\left(\frac{9\,a\,{\left(b\,x^2+a\right)}^{1/3}}{4}-\frac{9\,a^{4/3}}{4}\right)}{2}+\frac{3\,{\left(b\,x^2+a\right)}^{1/3}}{2}-\frac{a^{1/3}\,\ln\left(\frac{9\,a^{4/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2}+\frac{9\,a\,{\left(b\,x^2+a\right)}^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2}+a^{1/3}\,\ln\left(\frac{9\,a\,{\left(b\,x^2+a\right)}^{1/3}}{2}-9\,a^{4/3}\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)","Not used",1,"(a^(1/3)*log((9*a*(a + b*x^2)^(1/3))/4 - (9*a^(4/3))/4))/2 + (3*(a + b*x^2)^(1/3))/2 - (a^(1/3)*log((9*a^(4/3)*((3^(1/2)*1i)/2 + 1/2))/2 + (9*a*(a + b*x^2)^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2))/2 + a^(1/3)*log((9*a*(a + b*x^2)^(1/3))/2 - 9*a^(4/3)*((3^(1/2)*1i)/4 - 1/4))*((3^(1/2)*1i)/4 - 1/4)","B"
670,1,125,107,4.880311,"\text{Not used}","int((a + b*x^2)^(1/3)/x^3,x)","\frac{b\,\ln\left(\frac{3\,b\,{\left(b\,x^2+a\right)}^{1/3}}{2}-\frac{3\,a^{1/3}\,b}{2}\right)}{6\,a^{2/3}}-\frac{{\left(b\,x^2+a\right)}^{1/3}}{2\,x^2}-\frac{\ln\left(\frac{3\,a^{1/3}\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{4}+\frac{3\,b\,{\left(b\,x^2+a\right)}^{1/3}}{2}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{12\,a^{2/3}}-\frac{\ln\left(\frac{3\,a^{1/3}\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{4}+\frac{3\,b\,{\left(b\,x^2+a\right)}^{1/3}}{2}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{12\,a^{2/3}}","Not used",1,"(b*log((3*b*(a + b*x^2)^(1/3))/2 - (3*a^(1/3)*b)/2))/(6*a^(2/3)) - (a + b*x^2)^(1/3)/(2*x^2) - (log((3*a^(1/3)*(b - 3^(1/2)*b*1i))/4 + (3*b*(a + b*x^2)^(1/3))/2)*(b - 3^(1/2)*b*1i))/(12*a^(2/3)) - (log((3*a^(1/3)*(b + 3^(1/2)*b*1i))/4 + (3*b*(a + b*x^2)^(1/3))/2)*(b + 3^(1/2)*b*1i))/(12*a^(2/3))","B"
671,1,217,135,5.108989,"\text{Not used}","int((a + b*x^2)^(1/3)/x^5,x)","\frac{b^2\,\ln\left(\frac{b^2}{2\,{\left(-a\right)}^{2/3}}-\frac{b^2\,{\left(b\,x^2+a\right)}^{1/3}}{2\,a}\right)}{18\,{\left(-a\right)}^{5/3}}-\frac{\ln\left(\frac{b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}}{4\,{\left(-a\right)}^{2/3}}+\frac{b^2\,{\left(b\,x^2+a\right)}^{1/3}}{2\,a}\right)\,\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}{36\,{\left(-a\right)}^{5/3}}-\frac{\frac{b^2\,{\left(b\,x^2+a\right)}^{1/3}}{3}+\frac{b^2\,{\left(b\,x^2+a\right)}^{4/3}}{6\,a}}{2\,{\left(b\,x^2+a\right)}^2-4\,a\,\left(b\,x^2+a\right)+2\,a^2}+\frac{b^2\,\ln\left(\frac{b^2\,{\left(b\,x^2+a\right)}^{1/3}}{2\,a}-\frac{b^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,{\left(-a\right)}^{2/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{18\,{\left(-a\right)}^{5/3}}","Not used",1,"(b^2*log(b^2/(2*(-a)^(2/3)) - (b^2*(a + b*x^2)^(1/3))/(2*a)))/(18*(-a)^(5/3)) - (log((3^(1/2)*b^2*1i + b^2)/(4*(-a)^(2/3)) + (b^2*(a + b*x^2)^(1/3))/(2*a))*(3^(1/2)*b^2*1i + b^2))/(36*(-a)^(5/3)) - ((b^2*(a + b*x^2)^(1/3))/3 + (b^2*(a + b*x^2)^(4/3))/(6*a))/(2*(a + b*x^2)^2 - 4*a*(a + b*x^2) + 2*a^2) + (b^2*log((b^2*(a + b*x^2)^(1/3))/(2*a) - (b^2*((3^(1/2)*1i)/2 - 1/2))/(2*(-a)^(2/3)))*((3^(1/2)*1i)/2 - 1/2))/(18*(-a)^(5/3))","B"
672,0,-1,314,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(1/3),x)","\int x^4\,{\left(b\,x^2+a\right)}^{1/3} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(1/3), x)","F"
673,0,-1,290,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(1/3),x)","\int x^2\,{\left(b\,x^2+a\right)}^{1/3} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(1/3), x)","F"
674,1,37,266,4.592077,"\text{Not used}","int((a + b*x^2)^(1/3),x)","\frac{x\,{\left(b\,x^2+a\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{1/3}}","Not used",1,"(x*(a + b*x^2)^(1/3)*hypergeom([-1/3, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(1/3)","B"
675,1,40,260,4.777107,"\text{Not used}","int((a + b*x^2)^(1/3)/x^2,x)","-\frac{3\,{\left(b\,x^2+a\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{1}{6};\ \frac{7}{6};\ -\frac{a}{b\,x^2}\right)}{x\,{\left(\frac{a}{b\,x^2}+1\right)}^{1/3}}","Not used",1,"-(3*(a + b*x^2)^(1/3)*hypergeom([-1/3, 1/6], 7/6, -a/(b*x^2)))/(x*(a/(b*x^2) + 1)^(1/3))","B"
676,0,-1,290,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/x^4,x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{x^4} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/x^4, x)","F"
677,1,55,80,4.629010,"\text{Not used}","int(x^7*(a + b*x^2)^(2/3),x)","{\left(b\,x^2+a\right)}^{2/3}\,\left(\frac{3\,x^8}{28}-\frac{243\,a^4}{6160\,b^4}+\frac{3\,a\,x^6}{154\,b}-\frac{27\,a^2\,x^4}{1232\,b^2}+\frac{81\,a^3\,x^2}{3080\,b^3}\right)","Not used",1,"(a + b*x^2)^(2/3)*((3*x^8)/28 - (243*a^4)/(6160*b^4) + (3*a*x^6)/(154*b) - (27*a^2*x^4)/(1232*b^2) + (81*a^3*x^2)/(3080*b^3))","B"
678,1,44,59,4.662540,"\text{Not used}","int(x^5*(a + b*x^2)^(2/3),x)","{\left(b\,x^2+a\right)}^{2/3}\,\left(\frac{3\,x^6}{22}+\frac{27\,a^3}{440\,b^3}+\frac{3\,a\,x^4}{88\,b}-\frac{9\,a^2\,x^2}{220\,b^2}\right)","Not used",1,"(a + b*x^2)^(2/3)*((3*x^6)/22 + (27*a^3)/(440*b^3) + (3*a*x^4)/(88*b) - (9*a^2*x^2)/(220*b^2))","B"
679,1,33,38,4.714629,"\text{Not used}","int(x^3*(a + b*x^2)^(2/3),x)","{\left(b\,x^2+a\right)}^{2/3}\,\left(\frac{3\,x^4}{16}-\frac{9\,a^2}{80\,b^2}+\frac{3\,a\,x^2}{40\,b}\right)","Not used",1,"(a + b*x^2)^(2/3)*((3*x^4)/16 - (9*a^2)/(80*b^2) + (3*a*x^2)/(40*b))","B"
680,1,14,18,4.583257,"\text{Not used}","int(x*(a + b*x^2)^(2/3),x)","\frac{3\,{\left(b\,x^2+a\right)}^{5/3}}{10\,b}","Not used",1,"(3*(a + b*x^2)^(5/3))/(10*b)","B"
681,1,125,101,4.665884,"\text{Not used}","int((a + b*x^2)^(2/3)/x,x)","\frac{3\,{\left(b\,x^2+a\right)}^{2/3}}{4}+\frac{a^{2/3}\,\ln\left(\frac{9\,a^2\,{\left(b\,x^2+a\right)}^{1/3}}{4}-\frac{9\,a^{7/3}}{4}\right)}{2}-\frac{a^{2/3}\,\ln\left(\frac{9\,a^2\,{\left(b\,x^2+a\right)}^{1/3}}{4}-\frac{9\,a^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2}+a^{2/3}\,\ln\left(\frac{9\,a^2\,{\left(b\,x^2+a\right)}^{1/3}}{4}-9\,a^{7/3}\,{\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}^2\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)","Not used",1,"(3*(a + b*x^2)^(2/3))/4 + (a^(2/3)*log((9*a^2*(a + b*x^2)^(1/3))/4 - (9*a^(7/3))/4))/2 - (a^(2/3)*log((9*a^2*(a + b*x^2)^(1/3))/4 - (9*a^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/4)*((3^(1/2)*1i)/2 + 1/2))/2 + a^(2/3)*log((9*a^2*(a + b*x^2)^(1/3))/4 - 9*a^(7/3)*((3^(1/2)*1i)/4 - 1/4)^2)*((3^(1/2)*1i)/4 - 1/4)","B"
682,1,136,104,4.889370,"\text{Not used}","int((a + b*x^2)^(2/3)/x^3,x)","\frac{b\,\ln\left(a^{1/3}\,b^2-b^2\,{\left(b\,x^2+a\right)}^{1/3}\right)}{3\,a^{1/3}}-\frac{{\left(b\,x^2+a\right)}^{2/3}}{2\,x^2}-\frac{\ln\left(\frac{a^{1/3}\,{\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{4}-b^2\,{\left(b\,x^2+a\right)}^{1/3}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{1/3}}-\frac{\ln\left(\frac{a^{1/3}\,{\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{4}-b^2\,{\left(b\,x^2+a\right)}^{1/3}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{1/3}}","Not used",1,"(b*log(a^(1/3)*b^2 - b^2*(a + b*x^2)^(1/3)))/(3*a^(1/3)) - (a + b*x^2)^(2/3)/(2*x^2) - (log((a^(1/3)*(b - 3^(1/2)*b*1i)^2)/4 - b^2*(a + b*x^2)^(1/3))*(b - 3^(1/2)*b*1i))/(6*a^(1/3)) - (log((a^(1/3)*(b + 3^(1/2)*b*1i)^2)/4 - b^2*(a + b*x^2)^(1/3))*(b + 3^(1/2)*b*1i))/(6*a^(1/3))","B"
683,1,212,135,5.161102,"\text{Not used}","int((a + b*x^2)^(2/3)/x^5,x)","\frac{{\left(-1\right)}^{1/3}\,b^2\,\ln\left({\left(b\,x^2+a\right)}^{1/3}-{\left(-1\right)}^{2/3}\,a^{1/3}\right)}{18\,a^{4/3}}-\frac{\frac{b^2\,{\left(b\,x^2+a\right)}^{2/3}}{6}+\frac{b^2\,{\left(b\,x^2+a\right)}^{5/3}}{3\,a}}{2\,{\left(b\,x^2+a\right)}^2-4\,a\,\left(b\,x^2+a\right)+2\,a^2}+\frac{{\left(-1\right)}^{1/3}\,b^2\,\ln\left(\frac{b^4\,{\left(b\,x^2+a\right)}^{1/3}}{36\,a^2}-\frac{{\left(-1\right)}^{2/3}\,b^4\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{36\,a^{5/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{18\,a^{4/3}}-\frac{{\left(-1\right)}^{1/3}\,b^2\,\ln\left(\frac{b^4\,{\left(b\,x^2+a\right)}^{1/3}}{36\,a^2}-\frac{{\left(-1\right)}^{2/3}\,b^4\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{36\,a^{5/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{18\,a^{4/3}}","Not used",1,"((-1)^(1/3)*b^2*log((a + b*x^2)^(1/3) - (-1)^(2/3)*a^(1/3)))/(18*a^(4/3)) - ((b^2*(a + b*x^2)^(2/3))/6 + (b^2*(a + b*x^2)^(5/3))/(3*a))/(2*(a + b*x^2)^2 - 4*a*(a + b*x^2) + 2*a^2) + ((-1)^(1/3)*b^2*log((b^4*(a + b*x^2)^(1/3))/(36*a^2) - ((-1)^(2/3)*b^4*((3^(1/2)*1i)/2 - 1/2)^2)/(36*a^(5/3)))*((3^(1/2)*1i)/2 - 1/2))/(18*a^(4/3)) - ((-1)^(1/3)*b^2*log((b^4*(a + b*x^2)^(1/3))/(36*a^2) - ((-1)^(2/3)*b^4*((3^(1/2)*1i)/2 + 1/2)^2)/(36*a^(5/3)))*((3^(1/2)*1i)/2 + 1/2))/(18*a^(4/3))","B"
684,0,-1,601,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(2/3),x)","\int x^4\,{\left(b\,x^2+a\right)}^{2/3} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(2/3), x)","F"
685,0,-1,577,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(2/3),x)","\int x^2\,{\left(b\,x^2+a\right)}^{2/3} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(2/3), x)","F"
686,1,37,550,5.167177,"\text{Not used}","int((a + b*x^2)^(2/3),x)","\frac{x\,{\left(b\,x^2+a\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{2/3}}","Not used",1,"(x*(a + b*x^2)^(2/3)*hypergeom([-2/3, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(2/3)","B"
687,1,40,538,5.467126,"\text{Not used}","int((a + b*x^2)^(2/3)/x^2,x)","\frac{3\,{\left(b\,x^2+a\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},-\frac{1}{6};\ \frac{5}{6};\ -\frac{a}{b\,x^2}\right)}{x\,{\left(\frac{a}{b\,x^2}+1\right)}^{2/3}}","Not used",1,"(3*(a + b*x^2)^(2/3)*hypergeom([-2/3, -1/6], 5/6, -a/(b*x^2)))/(x*(a/(b*x^2) + 1)^(2/3))","B"
688,0,-1,575,0.000000,"\text{Not used}","int((a + b*x^2)^(2/3)/x^4,x)","\int \frac{{\left(b\,x^2+a\right)}^{2/3}}{x^4} \,d x","Not used",1,"int((a + b*x^2)^(2/3)/x^4, x)","F"
689,1,64,80,5.188405,"\text{Not used}","int(x^7*(a + b*x^2)^(4/3),x)","{\left(b\,x^2+a\right)}^{1/3}\,\left(\frac{51\,a\,x^8}{416}+\frac{3\,b\,x^{10}}{32}-\frac{243\,a^5}{14560\,b^4}+\frac{3\,a^2\,x^6}{1040\,b}-\frac{27\,a^3\,x^4}{7280\,b^2}+\frac{81\,a^4\,x^2}{14560\,b^3}\right)","Not used",1,"(a + b*x^2)^(1/3)*((51*a*x^8)/416 + (3*b*x^10)/32 - (243*a^5)/(14560*b^4) + (3*a^2*x^6)/(1040*b) - (27*a^3*x^4)/(7280*b^2) + (81*a^4*x^2)/(14560*b^3))","B"
690,1,53,59,5.100204,"\text{Not used}","int(x^5*(a + b*x^2)^(4/3),x)","{\left(b\,x^2+a\right)}^{1/3}\,\left(\frac{21\,a\,x^6}{130}+\frac{3\,b\,x^8}{26}+\frac{27\,a^4}{910\,b^3}+\frac{3\,a^2\,x^4}{455\,b}-\frac{9\,a^3\,x^2}{910\,b^2}\right)","Not used",1,"(a + b*x^2)^(1/3)*((21*a*x^6)/130 + (3*b*x^8)/26 + (27*a^4)/(910*b^3) + (3*a^2*x^4)/(455*b) - (9*a^3*x^2)/(910*b^2))","B"
691,1,42,38,5.054402,"\text{Not used}","int(x^3*(a + b*x^2)^(4/3),x)","{\left(b\,x^2+a\right)}^{1/3}\,\left(\frac{33\,a\,x^4}{140}+\frac{3\,b\,x^6}{20}-\frac{9\,a^3}{140\,b^2}+\frac{3\,a^2\,x^2}{140\,b}\right)","Not used",1,"(a + b*x^2)^(1/3)*((33*a*x^4)/140 + (3*b*x^6)/20 - (9*a^3)/(140*b^2) + (3*a^2*x^2)/(140*b))","B"
692,1,14,18,4.990474,"\text{Not used}","int(x*(a + b*x^2)^(4/3),x)","\frac{3\,{\left(b\,x^2+a\right)}^{7/3}}{14\,b}","Not used",1,"(3*(a + b*x^2)^(7/3))/(14*b)","B"
693,1,133,117,5.000838,"\text{Not used}","int((a + b*x^2)^(4/3)/x,x)","\frac{3\,a\,{\left(b\,x^2+a\right)}^{1/3}}{2}+\frac{3\,{\left(b\,x^2+a\right)}^{4/3}}{8}+\frac{a^{4/3}\,\ln\left(\frac{9\,a^2\,{\left(b\,x^2+a\right)}^{1/3}}{2}-\frac{9\,a^{7/3}}{2}\right)}{2}-\frac{a^{4/3}\,\ln\left(\frac{9\,a^{7/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2}+\frac{9\,a^2\,{\left(b\,x^2+a\right)}^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2}+a^{4/3}\,\ln\left(9\,a^{7/3}\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)-\frac{9\,a^2\,{\left(b\,x^2+a\right)}^{1/3}}{2}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)","Not used",1,"(3*a*(a + b*x^2)^(1/3))/2 + (3*(a + b*x^2)^(4/3))/8 + (a^(4/3)*log((9*a^2*(a + b*x^2)^(1/3))/2 - (9*a^(7/3))/2))/2 - (a^(4/3)*log((9*a^(7/3)*((3^(1/2)*1i)/2 + 1/2))/2 + (9*a^2*(a + b*x^2)^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2))/2 + a^(4/3)*log(9*a^(7/3)*((3^(1/2)*1i)/4 - 1/4) - (9*a^2*(a + b*x^2)^(1/3))/2)*((3^(1/2)*1i)/4 - 1/4)","B"
694,1,141,116,5.415772,"\text{Not used}","int((a + b*x^2)^(4/3)/x^3,x)","\frac{3\,b\,{\left(b\,x^2+a\right)}^{1/3}}{2}-\frac{a\,{\left(b\,x^2+a\right)}^{1/3}}{2\,x^2}+\frac{2\,a^{1/3}\,b\,\ln\left(6\,a^{4/3}\,b-6\,a\,b\,{\left(b\,x^2+a\right)}^{1/3}\right)}{3}+\frac{a^{1/3}\,b\,\ln\left(6\,a\,b\,{\left(b\,x^2+a\right)}^{1/3}-3\,a^{4/3}\,b\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{3}-\frac{a^{1/3}\,b\,\ln\left(3\,a^{4/3}\,b\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)+6\,a\,b\,{\left(b\,x^2+a\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{3}","Not used",1,"(3*b*(a + b*x^2)^(1/3))/2 - (a*(a + b*x^2)^(1/3))/(2*x^2) + (2*a^(1/3)*b*log(6*a^(4/3)*b - 6*a*b*(a + b*x^2)^(1/3)))/3 + (a^(1/3)*b*log(6*a*b*(a + b*x^2)^(1/3) - 3*a^(4/3)*b*(3^(1/2)*1i - 1))*(3^(1/2)*1i - 1))/3 - (a^(1/3)*b*log(3*a^(4/3)*b*(3^(1/2)*1i + 1) + 6*a*b*(a + b*x^2)^(1/3))*(3^(1/2)*1i + 1))/3","B"
695,1,191,132,5.490677,"\text{Not used}","int((a + b*x^2)^(4/3)/x^5,x)","\frac{b^2\,\ln\left(b^2\,{\left(b\,x^2+a\right)}^{1/3}-a^{1/3}\,b^2\right)}{9\,a^{2/3}}-\frac{\ln\left(\frac{a^{1/3}\,\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}{2}+b^2\,{\left(b\,x^2+a\right)}^{1/3}\right)\,\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}{18\,a^{2/3}}-\frac{\frac{7\,b^2\,{\left(b\,x^2+a\right)}^{4/3}}{6}-\frac{2\,a\,b^2\,{\left(b\,x^2+a\right)}^{1/3}}{3}}{2\,{\left(b\,x^2+a\right)}^2-4\,a\,\left(b\,x^2+a\right)+2\,a^2}+\frac{b^2\,\ln\left(b^2\,{\left(b\,x^2+a\right)}^{1/3}-a^{1/3}\,b^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{2/3}}","Not used",1,"(b^2*log(b^2*(a + b*x^2)^(1/3) - a^(1/3)*b^2))/(9*a^(2/3)) - (log((a^(1/3)*(3^(1/2)*b^2*1i + b^2))/2 + b^2*(a + b*x^2)^(1/3))*(3^(1/2)*b^2*1i + b^2))/(18*a^(2/3)) - ((7*b^2*(a + b*x^2)^(4/3))/6 - (2*a*b^2*(a + b*x^2)^(1/3))/3)/(2*(a + b*x^2)^2 - 4*a*(a + b*x^2) + 2*a^2) + (b^2*log(b^2*(a + b*x^2)^(1/3) - a^(1/3)*b^2*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(2/3))","B"
696,0,-1,335,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(4/3),x)","\int x^4\,{\left(b\,x^2+a\right)}^{4/3} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(4/3), x)","F"
697,0,-1,311,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(4/3),x)","\int x^2\,{\left(b\,x^2+a\right)}^{4/3} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(4/3), x)","F"
698,1,37,285,5.163577,"\text{Not used}","int((a + b*x^2)^(4/3),x)","\frac{x\,{\left(b\,x^2+a\right)}^{4/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{4}{3},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{4/3}}","Not used",1,"(x*(a + b*x^2)^(4/3)*hypergeom([-4/3, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(4/3)","B"
699,1,40,280,5.612755,"\text{Not used}","int((a + b*x^2)^(4/3)/x^2,x)","\frac{3\,{\left(b\,x^2+a\right)}^{4/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{4}{3},-\frac{5}{6};\ \frac{1}{6};\ -\frac{a}{b\,x^2}\right)}{5\,x\,{\left(\frac{a}{b\,x^2}+1\right)}^{4/3}}","Not used",1,"(3*(a + b*x^2)^(4/3)*hypergeom([-4/3, -5/6], 1/6, -a/(b*x^2)))/(5*x*(a/(b*x^2) + 1)^(4/3))","B"
700,0,-1,284,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/x^4,x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{x^4} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/x^4, x)","F"
701,1,25,13,5.130681,"\text{Not used}","int(x*(x^2 - 1)^(7/3),x)","{\left(x^2-1\right)}^{1/3}\,\left(\frac{3\,x^6}{20}-\frac{9\,x^4}{20}+\frac{9\,x^2}{20}-\frac{3}{20}\right)","Not used",1,"(x^2 - 1)^(1/3)*((9*x^2)/20 - (9*x^4)/20 + (3*x^6)/20 - 3/20)","B"
702,1,48,80,5.315841,"\text{Not used}","int(x^7/(a + b*x^2)^(1/3),x)","-{\left(b\,x^2+a\right)}^{2/3}\,\left(\frac{243\,a^3}{880\,b^4}-\frac{3\,x^6}{22\,b}+\frac{27\,a\,x^4}{176\,b^2}-\frac{81\,a^2\,x^2}{440\,b^3}\right)","Not used",1,"-(a + b*x^2)^(2/3)*((243*a^3)/(880*b^4) - (3*x^6)/(22*b) + (27*a*x^4)/(176*b^2) - (81*a^2*x^2)/(440*b^3))","B"
703,1,36,59,5.206731,"\text{Not used}","int(x^5/(a + b*x^2)^(1/3),x)","{\left(b\,x^2+a\right)}^{2/3}\,\left(\frac{27\,a^2}{80\,b^3}+\frac{3\,x^4}{16\,b}-\frac{9\,a\,x^2}{40\,b^2}\right)","Not used",1,"(a + b*x^2)^(2/3)*((27*a^2)/(80*b^3) + (3*x^4)/(16*b) - (9*a*x^2)/(40*b^2))","B"
704,1,24,38,5.006333,"\text{Not used}","int(x^3/(a + b*x^2)^(1/3),x)","-\frac{3\,{\left(b\,x^2+a\right)}^{2/3}\,\left(3\,a-2\,b\,x^2\right)}{20\,b^2}","Not used",1,"-(3*(a + b*x^2)^(2/3)*(3*a - 2*b*x^2))/(20*b^2)","B"
705,1,14,18,4.671313,"\text{Not used}","int(x/(a + b*x^2)^(1/3),x)","\frac{3\,{\left(b\,x^2+a\right)}^{2/3}}{4\,b}","Not used",1,"(3*(a + b*x^2)^(2/3))/(4*b)","B"
706,1,106,86,4.828169,"\text{Not used}","int(1/(x*(a + b*x^2)^(1/3)),x)","\frac{\ln\left(\frac{9\,{\left(b\,x^2+a\right)}^{1/3}}{4}-\frac{9\,a^{1/3}}{4}\right)}{2\,a^{1/3}}+\frac{\ln\left(\frac{9\,{\left(b\,x^2+a\right)}^{1/3}}{4}-\frac{9\,a^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{16}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,a^{1/3}}-\frac{\ln\left(\frac{9\,{\left(b\,x^2+a\right)}^{1/3}}{4}-\frac{9\,a^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{16}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,a^{1/3}}","Not used",1,"log((9*(a + b*x^2)^(1/3))/4 - (9*a^(1/3))/4)/(2*a^(1/3)) + (log((9*(a + b*x^2)^(1/3))/4 - (9*a^(1/3)*(3^(1/2)*1i - 1)^2)/16)*(3^(1/2)*1i - 1))/(4*a^(1/3)) - (log((9*(a + b*x^2)^(1/3))/4 - (9*a^(1/3)*(3^(1/2)*1i + 1)^2)/16)*(3^(1/2)*1i + 1))/(4*a^(1/3))","B"
707,1,138,110,5.010518,"\text{Not used}","int(1/(x^3*(a + b*x^2)^(1/3)),x)","-\frac{b\,\ln\left({\left(b\,x^2+a\right)}^{1/3}-a^{1/3}\right)}{6\,a^{4/3}}-\frac{{\left(b\,x^2+a\right)}^{2/3}}{2\,a\,x^2}+\frac{\ln\left(\frac{{\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{16\,a^{5/3}}-\frac{b^2\,{\left(b\,x^2+a\right)}^{1/3}}{4\,a^2}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{12\,a^{4/3}}+\frac{\ln\left(\frac{{\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{16\,a^{5/3}}-\frac{b^2\,{\left(b\,x^2+a\right)}^{1/3}}{4\,a^2}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{12\,a^{4/3}}","Not used",1,"(log((b - 3^(1/2)*b*1i)^2/(16*a^(5/3)) - (b^2*(a + b*x^2)^(1/3))/(4*a^2))*(b - 3^(1/2)*b*1i))/(12*a^(4/3)) - (a + b*x^2)^(2/3)/(2*a*x^2) - (b*log((a + b*x^2)^(1/3) - a^(1/3)))/(6*a^(4/3)) + (log((b + 3^(1/2)*b*1i)^2/(16*a^(5/3)) - (b^2*(a + b*x^2)^(1/3))/(4*a^2))*(b + 3^(1/2)*b*1i))/(12*a^(4/3))","B"
708,1,201,138,5.062808,"\text{Not used}","int(1/(x^5*(a + b*x^2)^(1/3)),x)","\frac{b^2\,\ln\left({\left(b\,x^2+a\right)}^{1/3}-a^{1/3}\right)}{9\,a^{7/3}}-\frac{\ln\left(\frac{b^4\,{\left(b\,x^2+a\right)}^{1/3}}{9\,a^4}-\frac{{\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}^2}{36\,a^{11/3}}\right)\,\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}{18\,a^{7/3}}-\frac{\frac{7\,b^2\,{\left(b\,x^2+a\right)}^{2/3}}{6\,a}-\frac{2\,b^2\,{\left(b\,x^2+a\right)}^{5/3}}{3\,a^2}}{2\,{\left(b\,x^2+a\right)}^2-4\,a\,\left(b\,x^2+a\right)+2\,a^2}+\frac{b^2\,\ln\left(\frac{b^4\,{\left(b\,x^2+a\right)}^{1/3}}{9\,a^4}-\frac{b^4\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{9\,a^{11/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{7/3}}","Not used",1,"(b^2*log((a + b*x^2)^(1/3) - a^(1/3)))/(9*a^(7/3)) - (log((b^4*(a + b*x^2)^(1/3))/(9*a^4) - (3^(1/2)*b^2*1i + b^2)^2/(36*a^(11/3)))*(3^(1/2)*b^2*1i + b^2))/(18*a^(7/3)) - ((7*b^2*(a + b*x^2)^(2/3))/(6*a) - (2*b^2*(a + b*x^2)^(5/3))/(3*a^2))/(2*(a + b*x^2)^2 - 4*a*(a + b*x^2) + 2*a^2) + (b^2*log((b^4*(a + b*x^2)^(1/3))/(9*a^4) - (b^4*((3^(1/2)*1i)/2 - 1/2)^2)/(9*a^(11/3)))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(7/3))","B"
709,0,-1,580,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(1/3),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{1/3}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(1/3), x)","F"
710,0,-1,556,0.000000,"\text{Not used}","int(x^2/(a + b*x^2)^(1/3),x)","\int \frac{x^2}{{\left(b\,x^2+a\right)}^{1/3}} \,d x","Not used",1,"int(x^2/(a + b*x^2)^(1/3), x)","F"
711,1,37,529,4.633989,"\text{Not used}","int(1/(a + b*x^2)^(1/3),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{1/3}}","Not used",1,"(x*((b*x^2)/a + 1)^(1/3)*hypergeom([1/3, 1/2], 3/2, -(b*x^2)/a))/(a + b*x^2)^(1/3)","B"
712,1,40,546,4.830097,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(1/3)),x)","-\frac{3\,{\left(\frac{a}{b\,x^2}+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{5}{6};\ \frac{11}{6};\ -\frac{a}{b\,x^2}\right)}{5\,x\,{\left(b\,x^2+a\right)}^{1/3}}","Not used",1,"-(3*(a/(b*x^2) + 1)^(1/3)*hypergeom([1/3, 5/6], 11/6, -a/(b*x^2)))/(5*x*(a + b*x^2)^(1/3))","B"
713,0,-1,578,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(1/3)),x)","\int \frac{1}{x^4\,{\left(b\,x^2+a\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^2)^(1/3)), x)","F"
714,1,48,80,4.748717,"\text{Not used}","int(x^7/(a + b*x^2)^(2/3),x)","-{\left(b\,x^2+a\right)}^{1/3}\,\left(\frac{243\,a^3}{280\,b^4}-\frac{3\,x^6}{20\,b}+\frac{27\,a\,x^4}{140\,b^2}-\frac{81\,a^2\,x^2}{280\,b^3}\right)","Not used",1,"-(a + b*x^2)^(1/3)*((243*a^3)/(280*b^4) - (3*x^6)/(20*b) + (27*a*x^4)/(140*b^2) - (81*a^2*x^2)/(280*b^3))","B"
715,1,36,59,4.766355,"\text{Not used}","int(x^5/(a + b*x^2)^(2/3),x)","{\left(b\,x^2+a\right)}^{1/3}\,\left(\frac{27\,a^2}{28\,b^3}+\frac{3\,x^4}{14\,b}-\frac{9\,a\,x^2}{28\,b^2}\right)","Not used",1,"(a + b*x^2)^(1/3)*((27*a^2)/(28*b^3) + (3*x^4)/(14*b) - (9*a*x^2)/(28*b^2))","B"
716,1,24,38,4.785813,"\text{Not used}","int(x^3/(a + b*x^2)^(2/3),x)","-\frac{3\,{\left(b\,x^2+a\right)}^{1/3}\,\left(3\,a-b\,x^2\right)}{8\,b^2}","Not used",1,"-(3*(a + b*x^2)^(1/3)*(3*a - b*x^2))/(8*b^2)","B"
717,1,14,18,4.694904,"\text{Not used}","int(x/(a + b*x^2)^(2/3),x)","\frac{3\,{\left(b\,x^2+a\right)}^{1/3}}{2\,b}","Not used",1,"(3*(a + b*x^2)^(1/3))/(2*b)","B"
718,1,102,86,4.842696,"\text{Not used}","int(1/(x*(a + b*x^2)^(2/3)),x)","\frac{\ln\left(\frac{9\,{\left(b\,x^2+a\right)}^{1/3}}{2}-\frac{9\,a^{1/3}}{2}\right)}{2\,a^{2/3}}+\frac{\ln\left(\frac{9\,a^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{4}-\frac{9\,{\left(b\,x^2+a\right)}^{1/3}}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,a^{2/3}}-\frac{\ln\left(\frac{9\,a^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{4}+\frac{9\,{\left(b\,x^2+a\right)}^{1/3}}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,a^{2/3}}","Not used",1,"log((9*(a + b*x^2)^(1/3))/2 - (9*a^(1/3))/2)/(2*a^(2/3)) + (log((9*a^(1/3)*(3^(1/2)*1i - 1))/4 - (9*(a + b*x^2)^(1/3))/2)*(3^(1/2)*1i - 1))/(4*a^(2/3)) - (log((9*a^(1/3)*(3^(1/2)*1i + 1))/4 + (9*(a + b*x^2)^(1/3))/2)*(3^(1/2)*1i + 1))/(4*a^(2/3))","B"
719,1,130,107,5.052057,"\text{Not used}","int(1/(x^3*(a + b*x^2)^(2/3)),x)","\frac{\ln\left(\frac{3\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{2\,a^{2/3}}+\frac{3\,b\,{\left(b\,x^2+a\right)}^{1/3}}{a}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{5/3}}+\frac{\ln\left(\frac{3\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{2\,a^{2/3}}+\frac{3\,b\,{\left(b\,x^2+a\right)}^{1/3}}{a}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{5/3}}-\frac{b\,\ln\left({\left(b\,x^2+a\right)}^{1/3}-a^{1/3}\right)}{3\,a^{5/3}}-\frac{{\left(b\,x^2+a\right)}^{1/3}}{2\,a\,x^2}","Not used",1,"(log((3*(b - 3^(1/2)*b*1i))/(2*a^(2/3)) + (3*b*(a + b*x^2)^(1/3))/a)*(b - 3^(1/2)*b*1i))/(6*a^(5/3)) + (log((3*(b + 3^(1/2)*b*1i))/(2*a^(2/3)) + (3*b*(a + b*x^2)^(1/3))/a)*(b + 3^(1/2)*b*1i))/(6*a^(5/3)) - (b*log((a + b*x^2)^(1/3) - a^(1/3)))/(3*a^(5/3)) - (a + b*x^2)^(1/3)/(2*a*x^2)","B"
720,1,193,138,5.143758,"\text{Not used}","int(1/(x^5*(a + b*x^2)^(2/3)),x)","\frac{5\,b^2\,\ln\left({\left(b\,x^2+a\right)}^{1/3}-a^{1/3}\right)}{18\,a^{8/3}}-\frac{\frac{4\,b^2\,{\left(b\,x^2+a\right)}^{1/3}}{3\,a}-\frac{5\,b^2\,{\left(b\,x^2+a\right)}^{4/3}}{6\,a^2}}{2\,{\left(b\,x^2+a\right)}^2-4\,a\,\left(b\,x^2+a\right)+2\,a^2}+\frac{5\,b^2\,\ln\left(\frac{5\,b^2\,{\left(b\,x^2+a\right)}^{1/3}}{2\,a^2}-\frac{5\,b^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,a^{5/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{18\,a^{8/3}}-\frac{5\,b^2\,\ln\left(\frac{5\,b^2\,{\left(b\,x^2+a\right)}^{1/3}}{2\,a^2}+\frac{5\,b^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,a^{5/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{18\,a^{8/3}}","Not used",1,"(5*b^2*log((a + b*x^2)^(1/3) - a^(1/3)))/(18*a^(8/3)) - ((4*b^2*(a + b*x^2)^(1/3))/(3*a) - (5*b^2*(a + b*x^2)^(4/3))/(6*a^2))/(2*(a + b*x^2)^2 - 4*a*(a + b*x^2) + 2*a^2) + (5*b^2*log((5*b^2*(a + b*x^2)^(1/3))/(2*a^2) - (5*b^2*((3^(1/2)*1i)/2 - 1/2))/(2*a^(5/3)))*((3^(1/2)*1i)/2 - 1/2))/(18*a^(8/3)) - (5*b^2*log((5*b^2*(a + b*x^2)^(1/3))/(2*a^2) + (5*b^2*((3^(1/2)*1i)/2 + 1/2))/(2*a^(5/3)))*((3^(1/2)*1i)/2 + 1/2))/(18*a^(8/3))","B"
721,0,-1,293,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(2/3),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(2/3), x)","F"
722,0,-1,269,0.000000,"\text{Not used}","int(x^2/(a + b*x^2)^(2/3),x)","\int \frac{x^2}{{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(x^2/(a + b*x^2)^(2/3), x)","F"
723,1,37,246,5.366098,"\text{Not used}","int(1/(a + b*x^2)^(2/3),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{2}{3};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{2/3}}","Not used",1,"(x*((b*x^2)/a + 1)^(2/3)*hypergeom([1/2, 2/3], 3/2, -(b*x^2)/a))/(a + b*x^2)^(2/3)","B"
724,1,40,265,5.458472,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(2/3)),x)","-\frac{3\,{\left(\frac{a}{b\,x^2}+1\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{2}{3},\frac{7}{6};\ \frac{13}{6};\ -\frac{a}{b\,x^2}\right)}{7\,x\,{\left(b\,x^2+a\right)}^{2/3}}","Not used",1,"-(3*(a/(b*x^2) + 1)^(2/3)*hypergeom([2/3, 7/6], 13/6, -a/(b*x^2)))/(7*x*(a + b*x^2)^(2/3))","B"
725,0,-1,293,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(2/3)),x)","\int \frac{1}{x^4\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^2)^(2/3)), x)","F"
726,1,55,80,5.439944,"\text{Not used}","int(x^7/(a + b*x^2)^(4/3),x)","\frac{180\,a^2\,\left(b\,x^2+a\right)-72\,a\,{\left(b\,x^2+a\right)}^2+15\,{\left(b\,x^2+a\right)}^3+120\,a^3}{80\,b^4\,{\left(b\,x^2+a\right)}^{1/3}}","Not used",1,"(180*a^2*(a + b*x^2) - 72*a*(a + b*x^2)^2 + 15*(a + b*x^2)^3 + 120*a^3)/(80*b^4*(a + b*x^2)^(1/3))","B"
727,1,41,59,5.360553,"\text{Not used}","int(x^5/(a + b*x^2)^(4/3),x)","-\frac{15\,a\,\left(b\,x^2+a\right)-3\,{\left(b\,x^2+a\right)}^2+15\,a^2}{10\,b^3\,{\left(b\,x^2+a\right)}^{1/3}}","Not used",1,"-(15*a*(a + b*x^2) - 3*(a + b*x^2)^2 + 15*a^2)/(10*b^3*(a + b*x^2)^(1/3))","B"
728,1,24,38,5.590967,"\text{Not used}","int(x^3/(a + b*x^2)^(4/3),x)","\frac{3\,b\,x^2+9\,a}{4\,b^2\,{\left(b\,x^2+a\right)}^{1/3}}","Not used",1,"(9*a + 3*b*x^2)/(4*b^2*(a + b*x^2)^(1/3))","B"
729,1,14,18,5.392840,"\text{Not used}","int(x/(a + b*x^2)^(4/3),x)","-\frac{3}{2\,b\,{\left(b\,x^2+a\right)}^{1/3}}","Not used",1,"-3/(2*b*(a + b*x^2)^(1/3))","B"
730,1,123,104,5.589740,"\text{Not used}","int(1/(x*(a + b*x^2)^(4/3)),x)","\frac{\ln\left(18\,a\,{\left(b\,x^2+a\right)}^{1/3}-18\,a^{4/3}\right)}{2\,a^{4/3}}+\frac{3}{2\,a\,{\left(b\,x^2+a\right)}^{1/3}}+\frac{\ln\left(18\,a\,{\left(b\,x^2+a\right)}^{1/3}-\frac{9\,a^{4/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,a^{4/3}}-\frac{\ln\left(18\,a\,{\left(b\,x^2+a\right)}^{1/3}-\frac{9\,a^{4/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,a^{4/3}}","Not used",1,"log(18*a*(a + b*x^2)^(1/3) - 18*a^(4/3))/(2*a^(4/3)) + 3/(2*a*(a + b*x^2)^(1/3)) + (log(18*a*(a + b*x^2)^(1/3) - (9*a^(4/3)*(3^(1/2)*1i - 1)^2)/2)*(3^(1/2)*1i - 1))/(4*a^(4/3)) - (log(18*a*(a + b*x^2)^(1/3) - (9*a^(4/3)*(3^(1/2)*1i + 1)^2)/2)*(3^(1/2)*1i + 1))/(4*a^(4/3))","B"
731,1,178,123,5.645092,"\text{Not used}","int(1/(x^3*(a + b*x^2)^(4/3)),x)","-\frac{\frac{3\,b}{a}-\frac{4\,b\,\left(b\,x^2+a\right)}{a^2}}{2\,a\,{\left(b\,x^2+a\right)}^{1/3}-2\,{\left(b\,x^2+a\right)}^{4/3}}-\frac{2\,b\,\ln\left(4\,a^{7/3}\,b^2-4\,a^2\,b^2\,{\left(b\,x^2+a\right)}^{1/3}\right)}{3\,a^{7/3}}+\frac{\ln\left(a^{7/3}\,{\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2-4\,a^2\,b^2\,{\left(b\,x^2+a\right)}^{1/3}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{3\,a^{7/3}}+\frac{\ln\left(a^{7/3}\,{\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2-4\,a^2\,b^2\,{\left(b\,x^2+a\right)}^{1/3}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{3\,a^{7/3}}","Not used",1,"(log(a^(7/3)*(b - 3^(1/2)*b*1i)^2 - 4*a^2*b^2*(a + b*x^2)^(1/3))*(b - 3^(1/2)*b*1i))/(3*a^(7/3)) - (2*b*log(4*a^(7/3)*b^2 - 4*a^2*b^2*(a + b*x^2)^(1/3)))/(3*a^(7/3)) - ((3*b)/a - (4*b*(a + b*x^2))/a^2)/(2*a*(a + b*x^2)^(1/3) - 2*(a + b*x^2)^(4/3)) + (log(a^(7/3)*(b + 3^(1/2)*b*1i)^2 - 4*a^2*b^2*(a + b*x^2)^(1/3))*(b + 3^(1/2)*b*1i))/(3*a^(7/3))","B"
732,1,224,159,5.671657,"\text{Not used}","int(1/(x^5*(a + b*x^2)^(4/3)),x)","\frac{\frac{3\,b^2}{a}-\frac{49\,b^2\,\left(b\,x^2+a\right)}{6\,a^2}+\frac{14\,b^2\,{\left(b\,x^2+a\right)}^2}{3\,a^3}}{2\,{\left(b\,x^2+a\right)}^{7/3}-4\,a\,{\left(b\,x^2+a\right)}^{4/3}+2\,a^2\,{\left(b\,x^2+a\right)}^{1/3}}+\frac{7\,b^2\,\ln\left(147\,a^3\,b^4\,{\left(b\,x^2+a\right)}^{1/3}-147\,a^{10/3}\,b^4\right)}{9\,a^{10/3}}+\frac{7\,b^2\,\ln\left(147\,a^3\,b^4\,{\left(b\,x^2+a\right)}^{1/3}-147\,a^{10/3}\,b^4\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{10/3}}-\frac{7\,b^2\,\ln\left(147\,a^3\,b^4\,{\left(b\,x^2+a\right)}^{1/3}-147\,a^{10/3}\,b^4\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{10/3}}","Not used",1,"((3*b^2)/a - (49*b^2*(a + b*x^2))/(6*a^2) + (14*b^2*(a + b*x^2)^2)/(3*a^3))/(2*(a + b*x^2)^(7/3) - 4*a*(a + b*x^2)^(4/3) + 2*a^2*(a + b*x^2)^(1/3)) + (7*b^2*log(147*a^3*b^4*(a + b*x^2)^(1/3) - 147*a^(10/3)*b^4))/(9*a^(10/3)) + (7*b^2*log(147*a^3*b^4*(a + b*x^2)^(1/3) - 147*a^(10/3)*b^4*((3^(1/2)*1i)/2 - 1/2)^2)*((3^(1/2)*1i)/2 - 1/2))/(9*a^(10/3)) - (7*b^2*log(147*a^3*b^4*(a + b*x^2)^(1/3) - 147*a^(10/3)*b^4*((3^(1/2)*1i)/2 + 1/2)^2)*((3^(1/2)*1i)/2 + 1/2))/(9*a^(10/3))","B"
733,0,-1,577,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(4/3),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{4/3}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(4/3), x)","F"
734,0,-1,553,0.000000,"\text{Not used}","int(x^2/(a + b*x^2)^(4/3),x)","\int \frac{x^2}{{\left(b\,x^2+a\right)}^{4/3}} \,d x","Not used",1,"int(x^2/(a + b*x^2)^(4/3), x)","F"
735,1,37,552,5.415879,"\text{Not used}","int(1/(a + b*x^2)^(4/3),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{4/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{4}{3};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{4/3}}","Not used",1,"(x*((b*x^2)/a + 1)^(4/3)*hypergeom([1/2, 4/3], 3/2, -(b*x^2)/a))/(a + b*x^2)^(4/3)","B"
736,1,40,571,5.574826,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(4/3)),x)","-\frac{3\,{\left(\frac{a}{b\,x^2}+1\right)}^{4/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{4}{3},\frac{11}{6};\ \frac{17}{6};\ -\frac{a}{b\,x^2}\right)}{11\,x\,{\left(b\,x^2+a\right)}^{4/3}}","Not used",1,"-(3*(a/(b*x^2) + 1)^(4/3)*hypergeom([4/3, 11/6], 17/6, -a/(b*x^2)))/(11*x*(a + b*x^2)^(4/3))","B"
737,0,-1,599,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(4/3)),x)","\int \frac{1}{x^4\,{\left(b\,x^2+a\right)}^{4/3}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^2)^(4/3)), x)","F"
738,0,-1,195,0.000000,"\text{Not used}","int((c*x)^(13/3)*(a + b*x^2)^(1/3),x)","\int {\left(c\,x\right)}^{13/3}\,{\left(b\,x^2+a\right)}^{1/3} \,d x","Not used",1,"int((c*x)^(13/3)*(a + b*x^2)^(1/3), x)","F"
739,0,-1,164,0.000000,"\text{Not used}","int((c*x)^(7/3)*(a + b*x^2)^(1/3),x)","\int {\left(c\,x\right)}^{7/3}\,{\left(b\,x^2+a\right)}^{1/3} \,d x","Not used",1,"int((c*x)^(7/3)*(a + b*x^2)^(1/3), x)","F"
740,0,-1,133,0.000000,"\text{Not used}","int((c*x)^(1/3)*(a + b*x^2)^(1/3),x)","\int {\left(c\,x\right)}^{1/3}\,{\left(b\,x^2+a\right)}^{1/3} \,d x","Not used",1,"int((c*x)^(1/3)*(a + b*x^2)^(1/3), x)","F"
741,0,-1,131,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(5/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{5/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(5/3), x)","F"
742,0,-1,28,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(11/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{11/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(11/3), x)","F"
743,0,-1,57,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(17/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{17/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(17/3), x)","F"
744,0,-1,85,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(23/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{23/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(23/3), x)","F"
745,0,-1,113,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(29/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{29/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(29/3), x)","F"
746,0,-1,451,0.000000,"\text{Not used}","int((c*x)^(10/3)*(a + b*x^2)^(1/3),x)","\int {\left(c\,x\right)}^{10/3}\,{\left(b\,x^2+a\right)}^{1/3} \,d x","Not used",1,"int((c*x)^(10/3)*(a + b*x^2)^(1/3), x)","F"
747,0,-1,418,0.000000,"\text{Not used}","int((c*x)^(4/3)*(a + b*x^2)^(1/3),x)","\int {\left(c\,x\right)}^{4/3}\,{\left(b\,x^2+a\right)}^{1/3} \,d x","Not used",1,"int((c*x)^(4/3)*(a + b*x^2)^(1/3), x)","F"
748,0,-1,381,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(2/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(2/3), x)","F"
749,0,-1,391,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(8/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{8/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(8/3), x)","F"
750,0,-1,422,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(14/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{14/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(14/3), x)","F"
751,0,-1,58,0.000000,"\text{Not used}","int((c*x)^(2/3)*(a + b*x^2)^(1/3),x)","\int {\left(c\,x\right)}^{2/3}\,{\left(b\,x^2+a\right)}^{1/3} \,d x","Not used",1,"int((c*x)^(2/3)*(a + b*x^2)^(1/3), x)","F"
752,0,-1,58,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(1/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(1/3), x)","F"
753,0,-1,56,0.000000,"\text{Not used}","int((a + b*x^2)^(1/3)/(c*x)^(4/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/3}}{{\left(c\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x^2)^(1/3)/(c*x)^(4/3), x)","F"
754,0,-1,223,0.000000,"\text{Not used}","int((c*x)^(13/3)*(a + b*x^2)^(4/3),x)","\int {\left(c\,x\right)}^{13/3}\,{\left(b\,x^2+a\right)}^{4/3} \,d x","Not used",1,"int((c*x)^(13/3)*(a + b*x^2)^(4/3), x)","F"
755,0,-1,192,0.000000,"\text{Not used}","int((c*x)^(7/3)*(a + b*x^2)^(4/3),x)","\int {\left(c\,x\right)}^{7/3}\,{\left(b\,x^2+a\right)}^{4/3} \,d x","Not used",1,"int((c*x)^(7/3)*(a + b*x^2)^(4/3), x)","F"
756,0,-1,163,0.000000,"\text{Not used}","int((c*x)^(1/3)*(a + b*x^2)^(4/3),x)","\int {\left(c\,x\right)}^{1/3}\,{\left(b\,x^2+a\right)}^{4/3} \,d x","Not used",1,"int((c*x)^(1/3)*(a + b*x^2)^(4/3), x)","F"
757,0,-1,153,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(5/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{5/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(5/3), x)","F"
758,0,-1,157,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(11/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{11/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(11/3), x)","F"
759,0,-1,28,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(17/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{17/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(17/3), x)","F"
760,0,-1,57,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(23/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{23/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(23/3), x)","F"
761,0,-1,85,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(29/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{29/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(29/3), x)","F"
762,0,-1,479,0.000000,"\text{Not used}","int((c*x)^(10/3)*(a + b*x^2)^(4/3),x)","\int {\left(c\,x\right)}^{10/3}\,{\left(b\,x^2+a\right)}^{4/3} \,d x","Not used",1,"int((c*x)^(10/3)*(a + b*x^2)^(4/3), x)","F"
763,0,-1,448,0.000000,"\text{Not used}","int((c*x)^(4/3)*(a + b*x^2)^(4/3),x)","\int {\left(c\,x\right)}^{4/3}\,{\left(b\,x^2+a\right)}^{4/3} \,d x","Not used",1,"int((c*x)^(4/3)*(a + b*x^2)^(4/3), x)","F"
764,0,-1,414,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(2/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(2/3), x)","F"
765,0,-1,414,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(8/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{8/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(8/3), x)","F"
766,0,-1,419,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(14/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{14/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(14/3), x)","F"
767,0,-1,450,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(20/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{20/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(20/3), x)","F"
768,0,-1,59,0.000000,"\text{Not used}","int((c*x)^(2/3)*(a + b*x^2)^(4/3),x)","\int {\left(c\,x\right)}^{2/3}\,{\left(b\,x^2+a\right)}^{4/3} \,d x","Not used",1,"int((c*x)^(2/3)*(a + b*x^2)^(4/3), x)","F"
769,0,-1,59,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(1/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(1/3), x)","F"
770,0,-1,57,0.000000,"\text{Not used}","int((a + b*x^2)^(4/3)/(c*x)^(4/3),x)","\int \frac{{\left(b\,x^2+a\right)}^{4/3}}{{\left(c\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x^2)^(4/3)/(c*x)^(4/3), x)","F"
771,0,-1,198,0.000000,"\text{Not used}","int((c*x)^(19/3)/(a + b*x^2)^(2/3),x)","\int \frac{{\left(c\,x\right)}^{19/3}}{{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int((c*x)^(19/3)/(a + b*x^2)^(2/3), x)","F"
772,0,-1,167,0.000000,"\text{Not used}","int((c*x)^(13/3)/(a + b*x^2)^(2/3),x)","\int \frac{{\left(c\,x\right)}^{13/3}}{{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int((c*x)^(13/3)/(a + b*x^2)^(2/3), x)","F"
773,0,-1,131,0.000000,"\text{Not used}","int((c*x)^(7/3)/(a + b*x^2)^(2/3),x)","\int \frac{{\left(c\,x\right)}^{7/3}}{{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int((c*x)^(7/3)/(a + b*x^2)^(2/3), x)","F"
774,0,-1,106,0.000000,"\text{Not used}","int((c*x)^(1/3)/(a + b*x^2)^(2/3),x)","\int \frac{{\left(c\,x\right)}^{1/3}}{{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int((c*x)^(1/3)/(a + b*x^2)^(2/3), x)","F"
775,0,-1,28,0.000000,"\text{Not used}","int(1/((c*x)^(5/3)*(a + b*x^2)^(2/3)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/3}\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/((c*x)^(5/3)*(a + b*x^2)^(2/3)), x)","F"
776,0,-1,57,0.000000,"\text{Not used}","int(1/((c*x)^(11/3)*(a + b*x^2)^(2/3)),x)","\int \frac{1}{{\left(c\,x\right)}^{11/3}\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/((c*x)^(11/3)*(a + b*x^2)^(2/3)), x)","F"
777,0,-1,85,0.000000,"\text{Not used}","int(1/((c*x)^(17/3)*(a + b*x^2)^(2/3)),x)","\int \frac{1}{{\left(c\,x\right)}^{17/3}\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/((c*x)^(17/3)*(a + b*x^2)^(2/3)), x)","F"
778,0,-1,113,0.000000,"\text{Not used}","int(1/((c*x)^(23/3)*(a + b*x^2)^(2/3)),x)","\int \frac{1}{{\left(c\,x\right)}^{23/3}\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/((c*x)^(23/3)*(a + b*x^2)^(2/3)), x)","F"
779,0,-1,421,0.000000,"\text{Not used}","int((c*x)^(10/3)/(a + b*x^2)^(2/3),x)","\int \frac{{\left(c\,x\right)}^{10/3}}{{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int((c*x)^(10/3)/(a + b*x^2)^(2/3), x)","F"
780,0,-1,388,0.000000,"\text{Not used}","int((c*x)^(4/3)/(a + b*x^2)^(2/3),x)","\int \frac{{\left(c\,x\right)}^{4/3}}{{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int((c*x)^(4/3)/(a + b*x^2)^(2/3), x)","F"
781,0,-1,364,0.000000,"\text{Not used}","int(1/((c*x)^(2/3)*(a + b*x^2)^(2/3)),x)","\int \frac{1}{{\left(c\,x\right)}^{2/3}\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/((c*x)^(2/3)*(a + b*x^2)^(2/3)), x)","F"
782,0,-1,394,0.000000,"\text{Not used}","int(1/((c*x)^(8/3)*(a + b*x^2)^(2/3)),x)","\int \frac{1}{{\left(c\,x\right)}^{8/3}\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/((c*x)^(8/3)*(a + b*x^2)^(2/3)), x)","F"
783,0,-1,425,0.000000,"\text{Not used}","int(1/((c*x)^(14/3)*(a + b*x^2)^(2/3)),x)","\int \frac{1}{{\left(c\,x\right)}^{14/3}\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/((c*x)^(14/3)*(a + b*x^2)^(2/3)), x)","F"
784,0,-1,58,0.000000,"\text{Not used}","int((c*x)^(2/3)/(a + b*x^2)^(2/3),x)","\int \frac{{\left(c\,x\right)}^{2/3}}{{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int((c*x)^(2/3)/(a + b*x^2)^(2/3), x)","F"
785,0,-1,58,0.000000,"\text{Not used}","int(1/((c*x)^(1/3)*(a + b*x^2)^(2/3)),x)","\int \frac{1}{{\left(c\,x\right)}^{1/3}\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/((c*x)^(1/3)*(a + b*x^2)^(2/3)), x)","F"
786,0,-1,56,0.000000,"\text{Not used}","int(1/((c*x)^(4/3)*(a + b*x^2)^(2/3)),x)","\int \frac{1}{{\left(c\,x\right)}^{4/3}\,{\left(b\,x^2+a\right)}^{2/3}} \,d x","Not used",1,"int(1/((c*x)^(4/3)*(a + b*x^2)^(2/3)), x)","F"
787,0,-1,121,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(1/4),x)","\int x^4\,{\left(b\,x^2+a\right)}^{1/4} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(1/4), x)","F"
788,0,-1,97,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(1/4),x)","\int x^2\,{\left(b\,x^2+a\right)}^{1/4} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(1/4), x)","F"
789,1,37,75,4.656640,"\text{Not used}","int((a + b*x^2)^(1/4),x)","\frac{x\,{\left(b\,x^2+a\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{1/4}}","Not used",1,"(x*(a + b*x^2)^(1/4)*hypergeom([-1/4, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(1/4)","B"
790,1,40,72,4.805341,"\text{Not used}","int((a + b*x^2)^(1/4)/x^2,x)","-\frac{2\,{\left(b\,x^2+a\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a}{b\,x^2}\right)}{x\,{\left(\frac{a}{b\,x^2}+1\right)}^{1/4}}","Not used",1,"-(2*(a + b*x^2)^(1/4)*hypergeom([-1/4, 1/4], 5/4, -a/(b*x^2)))/(x*(a/(b*x^2) + 1)^(1/4))","B"
791,0,-1,99,0.000000,"\text{Not used}","int((a + b*x^2)^(1/4)/x^4,x)","\int \frac{{\left(b\,x^2+a\right)}^{1/4}}{x^4} \,d x","Not used",1,"int((a + b*x^2)^(1/4)/x^4, x)","F"
792,0,-1,123,0.000000,"\text{Not used}","int((a + b*x^2)^(1/4)/x^6,x)","\int \frac{{\left(b\,x^2+a\right)}^{1/4}}{x^6} \,d x","Not used",1,"int((a + b*x^2)^(1/4)/x^6, x)","F"
793,0,-1,126,0.000000,"\text{Not used}","int(x^4*(a - b*x^2)^(1/4),x)","\int x^4\,{\left(a-b\,x^2\right)}^{1/4} \,d x","Not used",1,"int(x^4*(a - b*x^2)^(1/4), x)","F"
794,0,-1,101,0.000000,"\text{Not used}","int(x^2*(a - b*x^2)^(1/4),x)","\int x^2\,{\left(a-b\,x^2\right)}^{1/4} \,d x","Not used",1,"int(x^2*(a - b*x^2)^(1/4), x)","F"
795,1,38,78,4.801597,"\text{Not used}","int((a - b*x^2)^(1/4),x)","\frac{x\,{\left(a-b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(1-\frac{b\,x^2}{a}\right)}^{1/4}}","Not used",1,"(x*(a - b*x^2)^(1/4)*hypergeom([-1/4, 1/2], 3/2, (b*x^2)/a))/(1 - (b*x^2)/a)^(1/4)","B"
796,1,41,76,4.980455,"\text{Not used}","int((a - b*x^2)^(1/4)/x^2,x)","-\frac{2\,{\left(a-b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a}{b\,x^2}\right)}{x\,{\left(1-\frac{a}{b\,x^2}\right)}^{1/4}}","Not used",1,"-(2*(a - b*x^2)^(1/4)*hypergeom([-1/4, 1/4], 5/4, a/(b*x^2)))/(x*(1 - a/(b*x^2))^(1/4))","B"
797,0,-1,103,0.000000,"\text{Not used}","int((a - b*x^2)^(1/4)/x^4,x)","\int \frac{{\left(a-b\,x^2\right)}^{1/4}}{x^4} \,d x","Not used",1,"int((a - b*x^2)^(1/4)/x^4, x)","F"
798,0,-1,128,0.000000,"\text{Not used}","int((a - b*x^2)^(1/4)/x^6,x)","\int \frac{{\left(a-b\,x^2\right)}^{1/4}}{x^6} \,d x","Not used",1,"int((a - b*x^2)^(1/4)/x^6, x)","F"
799,0,-1,143,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(3/4),x)","\int x^4\,{\left(b\,x^2+a\right)}^{3/4} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(3/4), x)","F"
800,0,-1,119,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(3/4),x)","\int x^2\,{\left(b\,x^2+a\right)}^{3/4} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(3/4), x)","F"
801,1,37,92,4.776996,"\text{Not used}","int((a + b*x^2)^(3/4),x)","\frac{x\,{\left(b\,x^2+a\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{3/4}}","Not used",1,"(x*(a + b*x^2)^(3/4)*hypergeom([-3/4, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(3/4)","B"
802,1,40,88,5.029248,"\text{Not used}","int((a + b*x^2)^(3/4)/x^2,x)","\frac{2\,{\left(b\,x^2+a\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},-\frac{1}{4};\ \frac{3}{4};\ -\frac{a}{b\,x^2}\right)}{x\,{\left(\frac{a}{b\,x^2}+1\right)}^{3/4}}","Not used",1,"(2*(a + b*x^2)^(3/4)*hypergeom([-3/4, -1/4], 3/4, -a/(b*x^2)))/(x*(a/(b*x^2) + 1)^(3/4))","B"
803,0,-1,121,0.000000,"\text{Not used}","int((a + b*x^2)^(3/4)/x^4,x)","\int \frac{{\left(b\,x^2+a\right)}^{3/4}}{x^4} \,d x","Not used",1,"int((a + b*x^2)^(3/4)/x^4, x)","F"
804,0,-1,145,0.000000,"\text{Not used}","int((a + b*x^2)^(3/4)/x^6,x)","\int \frac{{\left(b\,x^2+a\right)}^{3/4}}{x^6} \,d x","Not used",1,"int((a + b*x^2)^(3/4)/x^6, x)","F"
805,0,-1,126,0.000000,"\text{Not used}","int(x^4*(a - b*x^2)^(3/4),x)","\int x^4\,{\left(a-b\,x^2\right)}^{3/4} \,d x","Not used",1,"int(x^4*(a - b*x^2)^(3/4), x)","F"
806,0,-1,101,0.000000,"\text{Not used}","int(x^2*(a - b*x^2)^(3/4),x)","\int x^2\,{\left(a-b\,x^2\right)}^{3/4} \,d x","Not used",1,"int(x^2*(a - b*x^2)^(3/4), x)","F"
807,1,38,78,4.848520,"\text{Not used}","int((a - b*x^2)^(3/4),x)","\frac{x\,{\left(a-b\,x^2\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{1}{2};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(1-\frac{b\,x^2}{a}\right)}^{3/4}}","Not used",1,"(x*(a - b*x^2)^(3/4)*hypergeom([-3/4, 1/2], 3/2, (b*x^2)/a))/(1 - (b*x^2)/a)^(3/4)","B"
808,1,41,76,5.169713,"\text{Not used}","int((a - b*x^2)^(3/4)/x^2,x)","\frac{2\,{\left(a-b\,x^2\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},-\frac{1}{4};\ \frac{3}{4};\ \frac{a}{b\,x^2}\right)}{x\,{\left(1-\frac{a}{b\,x^2}\right)}^{3/4}}","Not used",1,"(2*(a - b*x^2)^(3/4)*hypergeom([-3/4, -1/4], 3/4, a/(b*x^2)))/(x*(1 - a/(b*x^2))^(3/4))","B"
809,0,-1,103,0.000000,"\text{Not used}","int((a - b*x^2)^(3/4)/x^4,x)","\int \frac{{\left(a-b\,x^2\right)}^{3/4}}{x^4} \,d x","Not used",1,"int((a - b*x^2)^(3/4)/x^4, x)","F"
810,0,-1,128,0.000000,"\text{Not used}","int((a - b*x^2)^(3/4)/x^6,x)","\int \frac{{\left(a-b\,x^2\right)}^{3/4}}{x^6} \,d x","Not used",1,"int((a - b*x^2)^(3/4)/x^6, x)","F"
811,1,37,92,4.858944,"\text{Not used}","int((a + b*x^2)^(5/4),x)","\frac{x\,{\left(b\,x^2+a\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{4},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{5/4}}","Not used",1,"(x*(a + b*x^2)^(5/4)*hypergeom([-5/4, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(5/4)","B"
812,1,38,96,4.837909,"\text{Not used}","int((a - b*x^2)^(5/4),x)","\frac{x\,{\left(a-b\,x^2\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{4},\frac{1}{2};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(1-\frac{b\,x^2}{a}\right)}^{5/4}}","Not used",1,"(x*(a - b*x^2)^(5/4)*hypergeom([-5/4, 1/2], 3/2, (b*x^2)/a))/(1 - (b*x^2)/a)^(5/4)","B"
813,1,37,111,4.823279,"\text{Not used}","int((a + b*x^2)^(7/4),x)","\frac{x\,{\left(b\,x^2+a\right)}^{7/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{7}{4},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{7/4}}","Not used",1,"(x*(a + b*x^2)^(7/4)*hypergeom([-7/4, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(7/4)","B"
814,1,38,96,4.816393,"\text{Not used}","int((a - b*x^2)^(7/4),x)","\frac{x\,{\left(a-b\,x^2\right)}^{7/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{7}{4},\frac{1}{2};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(1-\frac{b\,x^2}{a}\right)}^{7/4}}","Not used",1,"(x*(a - b*x^2)^(7/4)*hypergeom([-7/4, 1/2], 3/2, (b*x^2)/a))/(1 - (b*x^2)/a)^(7/4)","B"
815,0,-1,146,0.000000,"\text{Not used}","int(x^6/(a + b*x^2)^(1/4),x)","\int \frac{x^6}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(x^6/(a + b*x^2)^(1/4), x)","F"
816,0,-1,122,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(1/4),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(1/4), x)","F"
817,0,-1,98,0.000000,"\text{Not used}","int(x^2/(a + b*x^2)^(1/4),x)","\int \frac{x^2}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(x^2/(a + b*x^2)^(1/4), x)","F"
818,1,37,71,4.845169,"\text{Not used}","int(1/(a + b*x^2)^(1/4),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{1/4}}","Not used",1,"(x*((b*x^2)/a + 1)^(1/4)*hypergeom([1/4, 1/2], 3/2, -(b*x^2)/a))/(a + b*x^2)^(1/4)","B"
819,1,40,93,5.087864,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(1/4)),x)","-\frac{2\,{\left(\frac{a}{b\,x^2}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ -\frac{a}{b\,x^2}\right)}{3\,x\,{\left(b\,x^2+a\right)}^{1/4}}","Not used",1,"-(2*(a/(b*x^2) + 1)^(1/4)*hypergeom([1/4, 3/4], 7/4, -a/(b*x^2)))/(3*x*(a + b*x^2)^(1/4))","B"
820,0,-1,124,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(1/4)),x)","\int \frac{1}{x^4\,{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^2)^(1/4)), x)","F"
821,0,-1,148,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^2)^(1/4)),x)","\int \frac{1}{x^6\,{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^2)^(1/4)), x)","F"
822,0,-1,129,0.000000,"\text{Not used}","int(x^6/(a - b*x^2)^(1/4),x)","\int \frac{x^6}{{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^6/(a - b*x^2)^(1/4), x)","F"
823,0,-1,104,0.000000,"\text{Not used}","int(x^4/(a - b*x^2)^(1/4),x)","\int \frac{x^4}{{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/(a - b*x^2)^(1/4), x)","F"
824,0,-1,81,0.000000,"\text{Not used}","int(x^2/(a - b*x^2)^(1/4),x)","\int \frac{x^2}{{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^2/(a - b*x^2)^(1/4), x)","F"
825,1,38,58,4.871516,"\text{Not used}","int(1/(a - b*x^2)^(1/4),x)","\frac{x\,{\left(1-\frac{b\,x^2}{a}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(a-b\,x^2\right)}^{1/4}}","Not used",1,"(x*(1 - (b*x^2)/a)^(1/4)*hypergeom([1/4, 1/2], 3/2, (b*x^2)/a))/(a - b*x^2)^(1/4)","B"
826,1,41,79,5.084632,"\text{Not used}","int(1/(x^2*(a - b*x^2)^(1/4)),x)","-\frac{2\,{\left(1-\frac{a}{b\,x^2}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ \frac{a}{b\,x^2}\right)}{3\,x\,{\left(a-b\,x^2\right)}^{1/4}}","Not used",1,"-(2*(1 - a/(b*x^2))^(1/4)*hypergeom([1/4, 3/4], 7/4, a/(b*x^2)))/(3*x*(a - b*x^2)^(1/4))","B"
827,0,-1,106,0.000000,"\text{Not used}","int(1/(x^4*(a - b*x^2)^(1/4)),x)","\int \frac{1}{x^4\,{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^4*(a - b*x^2)^(1/4)), x)","F"
828,0,-1,131,0.000000,"\text{Not used}","int(1/(x^6*(a - b*x^2)^(1/4)),x)","\int \frac{1}{x^6\,{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^6*(a - b*x^2)^(1/4)), x)","F"
829,0,-1,124,0.000000,"\text{Not used}","int(x^6/(a + b*x^2)^(3/4),x)","\int \frac{x^6}{{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(a + b*x^2)^(3/4), x)","F"
830,0,-1,100,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(3/4),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(3/4), x)","F"
831,0,-1,78,0.000000,"\text{Not used}","int(x^2/(a + b*x^2)^(3/4),x)","\int \frac{x^2}{{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(a + b*x^2)^(3/4), x)","F"
832,1,37,56,4.882757,"\text{Not used}","int(1/(a + b*x^2)^(3/4),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{3/4}}","Not used",1,"(x*((b*x^2)/a + 1)^(3/4)*hypergeom([1/2, 3/4], 3/2, -(b*x^2)/a))/(a + b*x^2)^(3/4)","B"
833,1,40,76,5.069542,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(3/4)),x)","-\frac{2\,{\left(\frac{a}{b\,x^2}+1\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},\frac{5}{4};\ \frac{9}{4};\ -\frac{a}{b\,x^2}\right)}{5\,x\,{\left(b\,x^2+a\right)}^{3/4}}","Not used",1,"-(2*(a/(b*x^2) + 1)^(3/4)*hypergeom([3/4, 5/4], 9/4, -a/(b*x^2)))/(5*x*(a + b*x^2)^(3/4))","B"
834,0,-1,102,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(3/4)),x)","\int \frac{1}{x^4\,{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^2)^(3/4)), x)","F"
835,0,-1,126,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^2)^(3/4)),x)","\int \frac{1}{x^6\,{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^2)^(3/4)), x)","F"
836,0,-1,129,0.000000,"\text{Not used}","int(x^6/(a - b*x^2)^(3/4),x)","\int \frac{x^6}{{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(a - b*x^2)^(3/4), x)","F"
837,0,-1,104,0.000000,"\text{Not used}","int(x^4/(a - b*x^2)^(3/4),x)","\int \frac{x^4}{{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(x^4/(a - b*x^2)^(3/4), x)","F"
838,0,-1,81,0.000000,"\text{Not used}","int(x^2/(a - b*x^2)^(3/4),x)","\int \frac{x^2}{{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(a - b*x^2)^(3/4), x)","F"
839,1,38,58,4.909441,"\text{Not used}","int(1/(a - b*x^2)^(3/4),x)","\frac{x\,{\left(1-\frac{b\,x^2}{a}\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(a-b\,x^2\right)}^{3/4}}","Not used",1,"(x*(1 - (b*x^2)/a)^(3/4)*hypergeom([1/2, 3/4], 3/2, (b*x^2)/a))/(a - b*x^2)^(3/4)","B"
840,1,41,78,5.100089,"\text{Not used}","int(1/(x^2*(a - b*x^2)^(3/4)),x)","-\frac{2\,{\left(1-\frac{a}{b\,x^2}\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},\frac{5}{4};\ \frac{9}{4};\ \frac{a}{b\,x^2}\right)}{5\,x\,{\left(a-b\,x^2\right)}^{3/4}}","Not used",1,"-(2*(1 - a/(b*x^2))^(3/4)*hypergeom([3/4, 5/4], 9/4, a/(b*x^2)))/(5*x*(a - b*x^2)^(3/4))","B"
841,0,-1,106,0.000000,"\text{Not used}","int(1/(x^4*(a - b*x^2)^(3/4)),x)","\int \frac{1}{x^4\,{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^4*(a - b*x^2)^(3/4)), x)","F"
842,0,-1,131,0.000000,"\text{Not used}","int(1/(x^6*(a - b*x^2)^(3/4)),x)","\int \frac{1}{x^6\,{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^6*(a - b*x^2)^(3/4)), x)","F"
843,0,-1,124,0.000000,"\text{Not used}","int(x^6/(a + b*x^2)^(5/4),x)","\int \frac{x^6}{{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int(x^6/(a + b*x^2)^(5/4), x)","F"
844,0,-1,100,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(5/4),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(5/4), x)","F"
845,0,-1,74,0.000000,"\text{Not used}","int(x^2/(a + b*x^2)^(5/4),x)","\int \frac{x^2}{{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int(x^2/(a + b*x^2)^(5/4), x)","F"
846,1,37,56,4.920602,"\text{Not used}","int(1/(a + b*x^2)^(5/4),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{5}{4};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{5/4}}","Not used",1,"(x*((b*x^2)/a + 1)^(5/4)*hypergeom([1/2, 5/4], 3/2, -(b*x^2)/a))/(a + b*x^2)^(5/4)","B"
847,1,40,76,5.156413,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(5/4)),x)","-\frac{2\,{\left(\frac{a}{b\,x^2}+1\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{4},\frac{7}{4};\ \frac{11}{4};\ -\frac{a}{b\,x^2}\right)}{7\,x\,{\left(b\,x^2+a\right)}^{5/4}}","Not used",1,"-(2*(a/(b*x^2) + 1)^(5/4)*hypergeom([5/4, 7/4], 11/4, -a/(b*x^2)))/(7*x*(a + b*x^2)^(5/4))","B"
848,0,-1,102,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(5/4)),x)","\int \frac{1}{x^4\,{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^2)^(5/4)), x)","F"
849,0,-1,126,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^2)^(5/4)),x)","\int \frac{1}{x^6\,{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^2)^(5/4)), x)","F"
850,0,-1,124,0.000000,"\text{Not used}","int(x^6/(a - b*x^2)^(5/4),x)","\int \frac{x^6}{{\left(a-b\,x^2\right)}^{5/4}} \,d x","Not used",1,"int(x^6/(a - b*x^2)^(5/4), x)","F"
851,0,-1,101,0.000000,"\text{Not used}","int(x^4/(a - b*x^2)^(5/4),x)","\int \frac{x^4}{{\left(a-b\,x^2\right)}^{5/4}} \,d x","Not used",1,"int(x^4/(a - b*x^2)^(5/4), x)","F"
852,0,-1,77,0.000000,"\text{Not used}","int(x^2/(a - b*x^2)^(5/4),x)","\int \frac{x^2}{{\left(a-b\,x^2\right)}^{5/4}} \,d x","Not used",1,"int(x^2/(a - b*x^2)^(5/4), x)","F"
853,1,38,77,4.913323,"\text{Not used}","int(1/(a - b*x^2)^(5/4),x)","\frac{x\,{\left(1-\frac{b\,x^2}{a}\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{5}{4};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(a-b\,x^2\right)}^{5/4}}","Not used",1,"(x*(1 - (b*x^2)/a)^(5/4)*hypergeom([1/2, 5/4], 3/2, (b*x^2)/a))/(a - b*x^2)^(5/4)","B"
854,1,41,99,5.097138,"\text{Not used}","int(1/(x^2*(a - b*x^2)^(5/4)),x)","-\frac{2\,{\left(1-\frac{a}{b\,x^2}\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{4},\frac{7}{4};\ \frac{11}{4};\ \frac{a}{b\,x^2}\right)}{7\,x\,{\left(a-b\,x^2\right)}^{5/4}}","Not used",1,"-(2*(1 - a/(b*x^2))^(5/4)*hypergeom([5/4, 7/4], 11/4, a/(b*x^2)))/(7*x*(a - b*x^2)^(5/4))","B"
855,0,-1,126,0.000000,"\text{Not used}","int(1/(x^4*(a - b*x^2)^(5/4)),x)","\int \frac{1}{x^4\,{\left(a-b\,x^2\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^4*(a - b*x^2)^(5/4)), x)","F"
856,0,-1,151,0.000000,"\text{Not used}","int(1/(x^6*(a - b*x^2)^(5/4)),x)","\int \frac{1}{x^6\,{\left(a-b\,x^2\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^6*(a - b*x^2)^(5/4)), x)","F"
857,1,37,78,4.878870,"\text{Not used}","int(1/(a + b*x^2)^(7/4),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{7/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{7}{4};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{7/4}}","Not used",1,"(x*((b*x^2)/a + 1)^(7/4)*hypergeom([1/2, 7/4], 3/2, -(b*x^2)/a))/(a + b*x^2)^(7/4)","B"
858,1,37,78,4.881901,"\text{Not used}","int(1/(a + b*x^2)^(9/4),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{9/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{9}{4};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{9/4}}","Not used",1,"(x*((b*x^2)/a + 1)^(9/4)*hypergeom([1/2, 9/4], 3/2, -(b*x^2)/a))/(a + b*x^2)^(9/4)","B"
859,1,37,97,4.893547,"\text{Not used}","int(1/(a + b*x^2)^(11/4),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{11/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{11}{4};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{11/4}}","Not used",1,"(x*((b*x^2)/a + 1)^(11/4)*hypergeom([1/2, 11/4], 3/2, -(b*x^2)/a))/(a + b*x^2)^(11/4)","B"
860,1,38,81,4.870230,"\text{Not used}","int(1/(a - b*x^2)^(7/4),x)","\frac{x\,{\left(1-\frac{b\,x^2}{a}\right)}^{7/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{7}{4};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(a-b\,x^2\right)}^{7/4}}","Not used",1,"(x*(1 - (b*x^2)/a)^(7/4)*hypergeom([1/2, 7/4], 3/2, (b*x^2)/a))/(a - b*x^2)^(7/4)","B"
861,1,38,101,4.863567,"\text{Not used}","int(1/(a - b*x^2)^(9/4),x)","\frac{x\,{\left(1-\frac{b\,x^2}{a}\right)}^{9/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{9}{4};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(a-b\,x^2\right)}^{9/4}}","Not used",1,"(x*(1 - (b*x^2)/a)^(9/4)*hypergeom([1/2, 9/4], 3/2, (b*x^2)/a))/(a - b*x^2)^(9/4)","B"
862,1,38,101,4.812151,"\text{Not used}","int(1/(a - b*x^2)^(11/4),x)","\frac{x\,{\left(1-\frac{b\,x^2}{a}\right)}^{11/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{11}{4};\ \frac{3}{2};\ \frac{b\,x^2}{a}\right)}{{\left(a-b\,x^2\right)}^{11/4}}","Not used",1,"(x*(1 - (b*x^2)/a)^(11/4)*hypergeom([1/2, 11/4], 3/2, (b*x^2)/a))/(a - b*x^2)^(11/4)","B"
863,0,-1,99,0.000000,"\text{Not used}","int(x^6/(3*x^2 + 2)^(1/4),x)","\int \frac{x^6}{{\left(3\,x^2+2\right)}^{1/4}} \,d x","Not used",1,"int(x^6/(3*x^2 + 2)^(1/4), x)","F"
864,0,-1,81,0.000000,"\text{Not used}","int(x^4/(3*x^2 + 2)^(1/4),x)","\int \frac{x^4}{{\left(3\,x^2+2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/(3*x^2 + 2)^(1/4), x)","F"
865,0,-1,63,0.000000,"\text{Not used}","int(x^2/(3*x^2 + 2)^(1/4),x)","\int \frac{x^2}{{\left(3\,x^2+2\right)}^{1/4}} \,d x","Not used",1,"int(x^2/(3*x^2 + 2)^(1/4), x)","F"
866,1,16,43,0.093722,"\text{Not used}","int(1/(3*x^2 + 2)^(1/4),x)","\frac{8^{1/4}\,x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ -\frac{3\,x^2}{2}\right)}{2}","Not used",1,"(8^(1/4)*x*hypergeom([1/4, 1/2], 3/2, -(3*x^2)/2))/2","B"
867,1,36,63,5.024153,"\text{Not used}","int(1/(x^2*(3*x^2 + 2)^(1/4)),x)","-\frac{2\,3^{3/4}\,{\left(\frac{2}{x^2}+3\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ -\frac{2}{3\,x^2}\right)}{9\,x\,{\left(3\,x^2+2\right)}^{1/4}}","Not used",1,"-(2*3^(3/4)*(2/x^2 + 3)^(1/4)*hypergeom([1/4, 3/4], 7/4, -2/(3*x^2)))/(9*x*(3*x^2 + 2)^(1/4))","B"
868,0,-1,83,0.000000,"\text{Not used}","int(1/(x^4*(3*x^2 + 2)^(1/4)),x)","\int \frac{1}{x^4\,{\left(3\,x^2+2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^4*(3*x^2 + 2)^(1/4)), x)","F"
869,0,-1,101,0.000000,"\text{Not used}","int(1/(x^6*(3*x^2 + 2)^(1/4)),x)","\int \frac{1}{x^6\,{\left(3\,x^2+2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^6*(3*x^2 + 2)^(1/4)), x)","F"
870,0,-1,83,0.000000,"\text{Not used}","int(x^6/(2 - 3*x^2)^(1/4),x)","\int \frac{x^6}{{\left(2-3\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^6/(2 - 3*x^2)^(1/4), x)","F"
871,0,-1,65,0.000000,"\text{Not used}","int(x^4/(2 - 3*x^2)^(1/4),x)","\int \frac{x^4}{{\left(2-3\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/(2 - 3*x^2)^(1/4), x)","F"
872,0,-1,47,0.000000,"\text{Not used}","int(x^2/(2 - 3*x^2)^(1/4),x)","\int \frac{x^2}{{\left(2-3\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^2/(2 - 3*x^2)^(1/4), x)","F"
873,1,16,28,0.090877,"\text{Not used}","int(1/(2 - 3*x^2)^(1/4),x)","\frac{2^{3/4}\,x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ \frac{3\,x^2}{2}\right)}{2}","Not used",1,"(2^(3/4)*x*hypergeom([1/4, 1/2], 3/2, (3*x^2)/2))/2","B"
874,1,36,47,5.046586,"\text{Not used}","int(1/(x^2*(2 - 3*x^2)^(1/4)),x)","-\frac{2\,3^{3/4}\,{\left(3-\frac{2}{x^2}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ \frac{2}{3\,x^2}\right)}{9\,x\,{\left(2-3\,x^2\right)}^{1/4}}","Not used",1,"-(2*3^(3/4)*(3 - 2/x^2)^(1/4)*hypergeom([1/4, 3/4], 7/4, 2/(3*x^2)))/(9*x*(2 - 3*x^2)^(1/4))","B"
875,0,-1,67,0.000000,"\text{Not used}","int(1/(x^4*(2 - 3*x^2)^(1/4)),x)","\int \frac{1}{x^4\,{\left(2-3\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^4*(2 - 3*x^2)^(1/4)), x)","F"
876,0,-1,85,0.000000,"\text{Not used}","int(1/(x^6*(2 - 3*x^2)^(1/4)),x)","\int \frac{1}{x^6\,{\left(2-3\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^6*(2 - 3*x^2)^(1/4)), x)","F"
877,0,-1,83,0.000000,"\text{Not used}","int(x^6/(3*x^2 + 2)^(3/4),x)","\int \frac{x^6}{{\left(3\,x^2+2\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(3*x^2 + 2)^(3/4), x)","F"
878,0,-1,65,0.000000,"\text{Not used}","int(x^4/(3*x^2 + 2)^(3/4),x)","\int \frac{x^4}{{\left(3\,x^2+2\right)}^{3/4}} \,d x","Not used",1,"int(x^4/(3*x^2 + 2)^(3/4), x)","F"
879,0,-1,47,0.000000,"\text{Not used}","int(x^2/(3*x^2 + 2)^(3/4),x)","\int \frac{x^2}{{\left(3\,x^2+2\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(3*x^2 + 2)^(3/4), x)","F"
880,1,16,27,0.082373,"\text{Not used}","int(1/(3*x^2 + 2)^(3/4),x)","\frac{2^{1/4}\,x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{3}{2};\ -\frac{3\,x^2}{2}\right)}{2}","Not used",1,"(2^(1/4)*x*hypergeom([1/2, 3/4], 3/2, -(3*x^2)/2))/2","B"
881,1,36,49,4.988721,"\text{Not used}","int(1/(x^2*(3*x^2 + 2)^(3/4)),x)","-\frac{2\,3^{1/4}\,{\left(\frac{2}{x^2}+3\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},\frac{5}{4};\ \frac{9}{4};\ -\frac{2}{3\,x^2}\right)}{15\,x\,{\left(3\,x^2+2\right)}^{3/4}}","Not used",1,"-(2*3^(1/4)*(2/x^2 + 3)^(3/4)*hypergeom([3/4, 5/4], 9/4, -2/(3*x^2)))/(15*x*(3*x^2 + 2)^(3/4))","B"
882,0,-1,67,0.000000,"\text{Not used}","int(1/(x^4*(3*x^2 + 2)^(3/4)),x)","\int \frac{1}{x^4\,{\left(3\,x^2+2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^4*(3*x^2 + 2)^(3/4)), x)","F"
883,0,-1,85,0.000000,"\text{Not used}","int(1/(x^6*(3*x^2 + 2)^(3/4)),x)","\int \frac{1}{x^6\,{\left(3\,x^2+2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^6*(3*x^2 + 2)^(3/4)), x)","F"
884,0,-1,83,0.000000,"\text{Not used}","int(x^6/(2 - 3*x^2)^(3/4),x)","\int \frac{x^6}{{\left(2-3\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(2 - 3*x^2)^(3/4), x)","F"
885,0,-1,65,0.000000,"\text{Not used}","int(x^4/(2 - 3*x^2)^(3/4),x)","\int \frac{x^4}{{\left(2-3\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(x^4/(2 - 3*x^2)^(3/4), x)","F"
886,0,-1,47,0.000000,"\text{Not used}","int(x^2/(2 - 3*x^2)^(3/4),x)","\int \frac{x^2}{{\left(2-3\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(2 - 3*x^2)^(3/4), x)","F"
887,1,16,27,4.761685,"\text{Not used}","int(1/(2 - 3*x^2)^(3/4),x)","\frac{2^{1/4}\,x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{3}{2};\ \frac{3\,x^2}{2}\right)}{2}","Not used",1,"(2^(1/4)*x*hypergeom([1/2, 3/4], 3/2, (3*x^2)/2))/2","B"
888,1,36,49,5.027716,"\text{Not used}","int(1/(x^2*(2 - 3*x^2)^(3/4)),x)","-\frac{2\,3^{1/4}\,{\left(3-\frac{2}{x^2}\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},\frac{5}{4};\ \frac{9}{4};\ \frac{2}{3\,x^2}\right)}{15\,x\,{\left(2-3\,x^2\right)}^{3/4}}","Not used",1,"-(2*3^(1/4)*(3 - 2/x^2)^(3/4)*hypergeom([3/4, 5/4], 9/4, 2/(3*x^2)))/(15*x*(2 - 3*x^2)^(3/4))","B"
889,0,-1,67,0.000000,"\text{Not used}","int(1/(x^4*(2 - 3*x^2)^(3/4)),x)","\int \frac{1}{x^4\,{\left(2-3\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^4*(2 - 3*x^2)^(3/4)), x)","F"
890,0,-1,85,0.000000,"\text{Not used}","int(1/(x^6*(2 - 3*x^2)^(3/4)),x)","\int \frac{1}{x^6\,{\left(2-3\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^6*(2 - 3*x^2)^(3/4)), x)","F"
891,0,-1,258,0.000000,"\text{Not used}","int(x^6/(3*x^2 - 2)^(1/4),x)","\int \frac{x^6}{{\left(3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(x^6/(3*x^2 - 2)^(1/4), x)","F"
892,0,-1,240,0.000000,"\text{Not used}","int(x^4/(3*x^2 - 2)^(1/4),x)","\int \frac{x^4}{{\left(3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/(3*x^2 - 2)^(1/4), x)","F"
893,0,-1,222,0.000000,"\text{Not used}","int(x^2/(3*x^2 - 2)^(1/4),x)","\int \frac{x^2}{{\left(3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(x^2/(3*x^2 - 2)^(1/4), x)","F"
894,1,34,199,4.742924,"\text{Not used}","int(1/(3*x^2 - 2)^(1/4),x)","\frac{2^{3/4}\,x\,{\left(2-3\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ \frac{3\,x^2}{2}\right)}{2\,{\left(3\,x^2-2\right)}^{1/4}}","Not used",1,"(2^(3/4)*x*(2 - 3*x^2)^(1/4)*hypergeom([1/4, 1/2], 3/2, (3*x^2)/2))/(2*(3*x^2 - 2)^(1/4))","B"
895,1,36,221,4.886310,"\text{Not used}","int(1/(x^2*(3*x^2 - 2)^(1/4)),x)","-\frac{2\,3^{3/4}\,{\left(3-\frac{2}{x^2}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ \frac{2}{3\,x^2}\right)}{9\,x\,{\left(3\,x^2-2\right)}^{1/4}}","Not used",1,"-(2*3^(3/4)*(3 - 2/x^2)^(1/4)*hypergeom([1/4, 3/4], 7/4, 2/(3*x^2)))/(9*x*(3*x^2 - 2)^(1/4))","B"
896,0,-1,242,0.000000,"\text{Not used}","int(1/(x^4*(3*x^2 - 2)^(1/4)),x)","\int \frac{1}{x^4\,{\left(3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^4*(3*x^2 - 2)^(1/4)), x)","F"
897,0,-1,260,0.000000,"\text{Not used}","int(1/(x^6*(3*x^2 - 2)^(1/4)),x)","\int \frac{1}{x^6\,{\left(3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^6*(3*x^2 - 2)^(1/4)), x)","F"
898,0,-1,260,0.000000,"\text{Not used}","int(x^6/(- 3*x^2 - 2)^(1/4),x)","\int \frac{x^6}{{\left(-3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(x^6/(- 3*x^2 - 2)^(1/4), x)","F"
899,0,-1,242,0.000000,"\text{Not used}","int(x^4/(- 3*x^2 - 2)^(1/4),x)","\int \frac{x^4}{{\left(-3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/(- 3*x^2 - 2)^(1/4), x)","F"
900,0,-1,224,0.000000,"\text{Not used}","int(x^2/(- 3*x^2 - 2)^(1/4),x)","\int \frac{x^2}{{\left(-3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(x^2/(- 3*x^2 - 2)^(1/4), x)","F"
901,1,34,202,4.878796,"\text{Not used}","int(1/(- 3*x^2 - 2)^(1/4),x)","\frac{2^{3/4}\,x\,{\left(3\,x^2+2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ -\frac{3\,x^2}{2}\right)}{2\,{\left(-3\,x^2-2\right)}^{1/4}}","Not used",1,"(2^(3/4)*x*(3*x^2 + 2)^(1/4)*hypergeom([1/4, 1/2], 3/2, -(3*x^2)/2))/(2*(- 3*x^2 - 2)^(1/4))","B"
902,1,36,223,5.037592,"\text{Not used}","int(1/(x^2*(- 3*x^2 - 2)^(1/4)),x)","-\frac{2\,3^{3/4}\,{\left(\frac{2}{x^2}+3\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ -\frac{2}{3\,x^2}\right)}{9\,x\,{\left(-3\,x^2-2\right)}^{1/4}}","Not used",1,"-(2*3^(3/4)*(2/x^2 + 3)^(1/4)*hypergeom([1/4, 3/4], 7/4, -2/(3*x^2)))/(9*x*(- 3*x^2 - 2)^(1/4))","B"
903,0,-1,244,0.000000,"\text{Not used}","int(1/(x^4*(- 3*x^2 - 2)^(1/4)),x)","\int \frac{1}{x^4\,{\left(-3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^4*(- 3*x^2 - 2)^(1/4)), x)","F"
904,0,-1,262,0.000000,"\text{Not used}","int(1/(x^6*(- 3*x^2 - 2)^(1/4)),x)","\int \frac{1}{x^6\,{\left(-3\,x^2-2\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^6*(- 3*x^2 - 2)^(1/4)), x)","F"
905,0,-1,138,0.000000,"\text{Not used}","int(x^6/(3*x^2 - 2)^(3/4),x)","\int \frac{x^6}{{\left(3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(3*x^2 - 2)^(3/4), x)","F"
906,0,-1,120,0.000000,"\text{Not used}","int(x^4/(3*x^2 - 2)^(3/4),x)","\int \frac{x^4}{{\left(3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(x^4/(3*x^2 - 2)^(3/4), x)","F"
907,0,-1,102,0.000000,"\text{Not used}","int(x^2/(3*x^2 - 2)^(3/4),x)","\int \frac{x^2}{{\left(3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(3*x^2 - 2)^(3/4), x)","F"
908,1,34,82,4.870851,"\text{Not used}","int(1/(3*x^2 - 2)^(3/4),x)","\frac{2^{1/4}\,x\,{\left(2-3\,x^2\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{3}{2};\ \frac{3\,x^2}{2}\right)}{2\,{\left(3\,x^2-2\right)}^{3/4}}","Not used",1,"(2^(1/4)*x*(2 - 3*x^2)^(3/4)*hypergeom([1/2, 3/4], 3/2, (3*x^2)/2))/(2*(3*x^2 - 2)^(3/4))","B"
909,1,23,104,5.068363,"\text{Not used}","int(1/(x^2*(3*x^2 - 2)^(3/4)),x)","-\frac{2\,3^{1/4}\,{\left(\frac{1}{x^2}\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},\frac{5}{4};\ \frac{9}{4};\ \frac{2}{3\,x^2}\right)}{15\,x}","Not used",1,"-(2*3^(1/4)*(1/x^2)^(3/4)*hypergeom([3/4, 5/4], 9/4, 2/(3*x^2)))/(15*x)","B"
910,0,-1,122,0.000000,"\text{Not used}","int(1/(x^4*(3*x^2 - 2)^(3/4)),x)","\int \frac{1}{x^4\,{\left(3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^4*(3*x^2 - 2)^(3/4)), x)","F"
911,0,-1,140,0.000000,"\text{Not used}","int(1/(x^6*(3*x^2 - 2)^(3/4)),x)","\int \frac{1}{x^6\,{\left(3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^6*(3*x^2 - 2)^(3/4)), x)","F"
912,0,-1,139,0.000000,"\text{Not used}","int(x^6/(- 3*x^2 - 2)^(3/4),x)","\int \frac{x^6}{{\left(-3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(- 3*x^2 - 2)^(3/4), x)","F"
913,0,-1,121,0.000000,"\text{Not used}","int(x^4/(- 3*x^2 - 2)^(3/4),x)","\int \frac{x^4}{{\left(-3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(x^4/(- 3*x^2 - 2)^(3/4), x)","F"
914,0,-1,103,0.000000,"\text{Not used}","int(x^2/(- 3*x^2 - 2)^(3/4),x)","\int \frac{x^2}{{\left(-3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(- 3*x^2 - 2)^(3/4), x)","F"
915,1,34,84,4.612118,"\text{Not used}","int(1/(- 3*x^2 - 2)^(3/4),x)","\frac{2^{1/4}\,x\,{\left(3\,x^2+2\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{3}{2};\ -\frac{3\,x^2}{2}\right)}{2\,{\left(-3\,x^2-2\right)}^{3/4}}","Not used",1,"(2^(1/4)*x*(3*x^2 + 2)^(3/4)*hypergeom([1/2, 3/4], 3/2, -(3*x^2)/2))/(2*(- 3*x^2 - 2)^(3/4))","B"
916,1,36,105,4.731357,"\text{Not used}","int(1/(x^2*(- 3*x^2 - 2)^(3/4)),x)","-\frac{2\,3^{1/4}\,{\left(\frac{2}{x^2}+3\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},\frac{5}{4};\ \frac{9}{4};\ -\frac{2}{3\,x^2}\right)}{15\,x\,{\left(-3\,x^2-2\right)}^{3/4}}","Not used",1,"-(2*3^(1/4)*(2/x^2 + 3)^(3/4)*hypergeom([3/4, 5/4], 9/4, -2/(3*x^2)))/(15*x*(- 3*x^2 - 2)^(3/4))","B"
917,0,-1,123,0.000000,"\text{Not used}","int(1/(x^4*(- 3*x^2 - 2)^(3/4)),x)","\int \frac{1}{x^4\,{\left(-3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^4*(- 3*x^2 - 2)^(3/4)), x)","F"
918,0,-1,141,0.000000,"\text{Not used}","int(1/(x^6*(- 3*x^2 - 2)^(3/4)),x)","\int \frac{1}{x^6\,{\left(-3\,x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^6*(- 3*x^2 - 2)^(3/4)), x)","F"
919,0,-1,152,0.000000,"\text{Not used}","int((c*x)^(7/2)*(a + b*x^2)^(1/4),x)","\int {\left(c\,x\right)}^{7/2}\,{\left(b\,x^2+a\right)}^{1/4} \,d x","Not used",1,"int((c*x)^(7/2)*(a + b*x^2)^(1/4), x)","F"
920,0,-1,118,0.000000,"\text{Not used}","int((c*x)^(3/2)*(a + b*x^2)^(1/4),x)","\int {\left(c\,x\right)}^{3/2}\,{\left(b\,x^2+a\right)}^{1/4} \,d x","Not used",1,"int((c*x)^(3/2)*(a + b*x^2)^(1/4), x)","F"
921,0,-1,89,0.000000,"\text{Not used}","int((a + b*x^2)^(1/4)/(c*x)^(1/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/4}}{\sqrt{c\,x}} \,d x","Not used",1,"int((a + b*x^2)^(1/4)/(c*x)^(1/2), x)","F"
922,0,-1,94,0.000000,"\text{Not used}","int((a + b*x^2)^(1/4)/(c*x)^(5/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/4}}{{\left(c\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x^2)^(1/4)/(c*x)^(5/2), x)","F"
923,0,-1,123,0.000000,"\text{Not used}","int((a + b*x^2)^(1/4)/(c*x)^(9/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/4}}{{\left(c\,x\right)}^{9/2}} \,d x","Not used",1,"int((a + b*x^2)^(1/4)/(c*x)^(9/2), x)","F"
924,0,-1,154,0.000000,"\text{Not used}","int((a + b*x^2)^(1/4)/(c*x)^(13/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/4}}{{\left(c\,x\right)}^{13/2}} \,d x","Not used",1,"int((a + b*x^2)^(1/4)/(c*x)^(13/2), x)","F"
925,0,-1,147,0.000000,"\text{Not used}","int((c*x)^(5/2)*(a + b*x^2)^(1/4),x)","\int {\left(c\,x\right)}^{5/2}\,{\left(b\,x^2+a\right)}^{1/4} \,d x","Not used",1,"int((c*x)^(5/2)*(a + b*x^2)^(1/4), x)","F"
926,0,-1,116,0.000000,"\text{Not used}","int((c*x)^(1/2)*(a + b*x^2)^(1/4),x)","\int \sqrt{c\,x}\,{\left(b\,x^2+a\right)}^{1/4} \,d x","Not used",1,"int((c*x)^(1/2)*(a + b*x^2)^(1/4), x)","F"
927,0,-1,107,0.000000,"\text{Not used}","int((a + b*x^2)^(1/4)/(c*x)^(3/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{1/4}}{{\left(c\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x^2)^(1/4)/(c*x)^(3/2), x)","F"
928,1,37,28,4.916445,"\text{Not used}","int((a + b*x^2)^(1/4)/(c*x)^(7/2),x)","-\frac{{\left(b\,x^2+a\right)}^{1/4}\,\left(\frac{2}{5\,c^3}+\frac{2\,b\,x^2}{5\,a\,c^3}\right)}{x^2\,\sqrt{c\,x}}","Not used",1,"-((a + b*x^2)^(1/4)*(2/(5*c^3) + (2*b*x^2)/(5*a*c^3)))/(x^2*(c*x)^(1/2))","B"
929,1,51,57,4.976163,"\text{Not used}","int((a + b*x^2)^(1/4)/(c*x)^(11/2),x)","-\frac{{\left(b\,x^2+a\right)}^{1/4}\,\left(\frac{2}{9\,c^5}+\frac{2\,b\,x^2}{45\,a\,c^5}-\frac{8\,b^2\,x^4}{45\,a^2\,c^5}\right)}{x^4\,\sqrt{c\,x}}","Not used",1,"-((a + b*x^2)^(1/4)*(2/(9*c^5) + (2*b*x^2)/(45*a*c^5) - (8*b^2*x^4)/(45*a^2*c^5)))/(x^4*(c*x)^(1/2))","B"
930,1,65,85,5.001971,"\text{Not used}","int((a + b*x^2)^(1/4)/(c*x)^(15/2),x)","-\frac{{\left(b\,x^2+a\right)}^{1/4}\,\left(\frac{2}{13\,c^7}+\frac{2\,b\,x^2}{117\,a\,c^7}-\frac{16\,b^2\,x^4}{585\,a^2\,c^7}+\frac{64\,b^3\,x^6}{585\,a^3\,c^7}\right)}{x^6\,\sqrt{c\,x}}","Not used",1,"-((a + b*x^2)^(1/4)*(2/(13*c^7) + (2*b*x^2)/(117*a*c^7) - (16*b^2*x^4)/(585*a^2*c^7) + (64*b^3*x^6)/(585*a^3*c^7)))/(x^6*(c*x)^(1/2))","B"
931,1,79,113,5.021862,"\text{Not used}","int((a + b*x^2)^(1/4)/(c*x)^(19/2),x)","-\frac{{\left(b\,x^2+a\right)}^{1/4}\,\left(\frac{2}{17\,c^9}+\frac{2\,b\,x^2}{221\,a\,c^9}-\frac{8\,b^2\,x^4}{663\,a^2\,c^9}+\frac{64\,b^3\,x^6}{3315\,a^3\,c^9}-\frac{256\,b^4\,x^8}{3315\,a^4\,c^9}\right)}{x^8\,\sqrt{c\,x}}","Not used",1,"-((a + b*x^2)^(1/4)*(2/(17*c^9) + (2*b*x^2)/(221*a*c^9) - (8*b^2*x^4)/(663*a^2*c^9) + (64*b^3*x^6)/(3315*a^3*c^9) - (256*b^4*x^8)/(3315*a^4*c^9)))/(x^8*(c*x)^(1/2))","B"
932,0,-1,122,0.000000,"\text{Not used}","int((c*x)^(3/2)*(a - b*x^2)^(1/4),x)","\int {\left(c\,x\right)}^{3/2}\,{\left(a-b\,x^2\right)}^{1/4} \,d x","Not used",1,"int((c*x)^(3/2)*(a - b*x^2)^(1/4), x)","F"
933,0,-1,92,0.000000,"\text{Not used}","int((a - b*x^2)^(1/4)/(c*x)^(1/2),x)","\int \frac{{\left(a-b\,x^2\right)}^{1/4}}{\sqrt{c\,x}} \,d x","Not used",1,"int((a - b*x^2)^(1/4)/(c*x)^(1/2), x)","F"
934,0,-1,97,0.000000,"\text{Not used}","int((a - b*x^2)^(1/4)/(c*x)^(5/2),x)","\int \frac{{\left(a-b\,x^2\right)}^{1/4}}{{\left(c\,x\right)}^{5/2}} \,d x","Not used",1,"int((a - b*x^2)^(1/4)/(c*x)^(5/2), x)","F"
935,0,-1,127,0.000000,"\text{Not used}","int((a - b*x^2)^(1/4)/(c*x)^(9/2),x)","\int \frac{{\left(a-b\,x^2\right)}^{1/4}}{{\left(c\,x\right)}^{9/2}} \,d x","Not used",1,"int((a - b*x^2)^(1/4)/(c*x)^(9/2), x)","F"
936,0,-1,159,0.000000,"\text{Not used}","int((a - b*x^2)^(1/4)/(c*x)^(13/2),x)","\int \frac{{\left(a-b\,x^2\right)}^{1/4}}{{\left(c\,x\right)}^{13/2}} \,d x","Not used",1,"int((a - b*x^2)^(1/4)/(c*x)^(13/2), x)","F"
937,0,-1,343,0.000000,"\text{Not used}","int((c*x)^(5/2)*(a - b*x^2)^(1/4),x)","\int {\left(c\,x\right)}^{5/2}\,{\left(a-b\,x^2\right)}^{1/4} \,d x","Not used",1,"int((c*x)^(5/2)*(a - b*x^2)^(1/4), x)","F"
938,0,-1,307,0.000000,"\text{Not used}","int((c*x)^(1/2)*(a - b*x^2)^(1/4),x)","\int \sqrt{c\,x}\,{\left(a-b\,x^2\right)}^{1/4} \,d x","Not used",1,"int((c*x)^(1/2)*(a - b*x^2)^(1/4), x)","F"
939,0,-1,296,0.000000,"\text{Not used}","int((a - b*x^2)^(1/4)/(c*x)^(3/2),x)","\int \frac{{\left(a-b\,x^2\right)}^{1/4}}{{\left(c\,x\right)}^{3/2}} \,d x","Not used",1,"int((a - b*x^2)^(1/4)/(c*x)^(3/2), x)","F"
940,1,38,29,4.847217,"\text{Not used}","int((a - b*x^2)^(1/4)/(c*x)^(7/2),x)","-\frac{{\left(a-b\,x^2\right)}^{1/4}\,\left(\frac{2}{5\,c^3}-\frac{2\,b\,x^2}{5\,a\,c^3}\right)}{x^2\,\sqrt{c\,x}}","Not used",1,"-((a - b*x^2)^(1/4)*(2/(5*c^3) - (2*b*x^2)/(5*a*c^3)))/(x^2*(c*x)^(1/2))","B"
941,1,51,59,4.891636,"\text{Not used}","int((a - b*x^2)^(1/4)/(c*x)^(11/2),x)","\frac{{\left(a-b\,x^2\right)}^{1/4}\,\left(\frac{2\,b\,x^2}{45\,a\,c^5}-\frac{2}{9\,c^5}+\frac{8\,b^2\,x^4}{45\,a^2\,c^5}\right)}{x^4\,\sqrt{c\,x}}","Not used",1,"((a - b*x^2)^(1/4)*((2*b*x^2)/(45*a*c^5) - 2/(9*c^5) + (8*b^2*x^4)/(45*a^2*c^5)))/(x^4*(c*x)^(1/2))","B"
942,1,65,88,4.911029,"\text{Not used}","int((a - b*x^2)^(1/4)/(c*x)^(15/2),x)","\frac{{\left(a-b\,x^2\right)}^{1/4}\,\left(\frac{2\,b\,x^2}{117\,a\,c^7}-\frac{2}{13\,c^7}+\frac{16\,b^2\,x^4}{585\,a^2\,c^7}+\frac{64\,b^3\,x^6}{585\,a^3\,c^7}\right)}{x^6\,\sqrt{c\,x}}","Not used",1,"((a - b*x^2)^(1/4)*((2*b*x^2)/(117*a*c^7) - 2/(13*c^7) + (16*b^2*x^4)/(585*a^2*c^7) + (64*b^3*x^6)/(585*a^3*c^7)))/(x^6*(c*x)^(1/2))","B"
943,1,79,117,4.930149,"\text{Not used}","int((a - b*x^2)^(1/4)/(c*x)^(19/2),x)","\frac{{\left(a-b\,x^2\right)}^{1/4}\,\left(\frac{2\,b\,x^2}{221\,a\,c^9}-\frac{2}{17\,c^9}+\frac{8\,b^2\,x^4}{663\,a^2\,c^9}+\frac{64\,b^3\,x^6}{3315\,a^3\,c^9}+\frac{256\,b^4\,x^8}{3315\,a^4\,c^9}\right)}{x^8\,\sqrt{c\,x}}","Not used",1,"((a - b*x^2)^(1/4)*((2*b*x^2)/(221*a*c^9) - 2/(17*c^9) + (8*b^2*x^4)/(663*a^2*c^9) + (64*b^3*x^6)/(3315*a^3*c^9) + (256*b^4*x^8)/(3315*a^4*c^9)))/(x^8*(c*x)^(1/2))","B"
944,0,-1,117,0.000000,"\text{Not used}","int((c*x)^(3/2)/(a + b*x^2)^(1/4),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(3/2)/(a + b*x^2)^(1/4), x)","F"
945,0,-1,83,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(a + b*x^2)^(1/4)),x)","\int \frac{1}{\sqrt{c\,x}\,{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(a + b*x^2)^(1/4)), x)","F"
946,1,25,28,4.945672,"\text{Not used}","int(1/((c*x)^(5/2)*(a + b*x^2)^(1/4)),x)","-\frac{2\,{\left(b\,x^2+a\right)}^{3/4}}{3\,a\,c^2\,x\,\sqrt{c\,x}}","Not used",1,"-(2*(a + b*x^2)^(3/4))/(3*a*c^2*x*(c*x)^(1/2))","B"
947,1,40,57,4.997487,"\text{Not used}","int(1/((c*x)^(9/2)*(a + b*x^2)^(1/4)),x)","-\frac{{\left(b\,x^2+a\right)}^{3/4}\,\left(\frac{2}{7\,a\,c^4}-\frac{8\,b\,x^2}{21\,a^2\,c^4}\right)}{x^3\,\sqrt{c\,x}}","Not used",1,"-((a + b*x^2)^(3/4)*(2/(7*a*c^4) - (8*b*x^2)/(21*a^2*c^4)))/(x^3*(c*x)^(1/2))","B"
948,1,54,85,5.004839,"\text{Not used}","int(1/((c*x)^(13/2)*(a + b*x^2)^(1/4)),x)","-\frac{{\left(b\,x^2+a\right)}^{3/4}\,\left(\frac{2}{11\,a\,c^6}-\frac{16\,b\,x^2}{77\,a^2\,c^6}+\frac{64\,b^2\,x^4}{231\,a^3\,c^6}\right)}{x^5\,\sqrt{c\,x}}","Not used",1,"-((a + b*x^2)^(3/4)*(2/(11*a*c^6) - (16*b*x^2)/(77*a^2*c^6) + (64*b^2*x^4)/(231*a^3*c^6)))/(x^5*(c*x)^(1/2))","B"
949,0,-1,156,0.000000,"\text{Not used}","int((c*x)^(9/2)/(a + b*x^2)^(1/4),x)","\int \frac{{\left(c\,x\right)}^{9/2}}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(9/2)/(a + b*x^2)^(1/4), x)","F"
950,0,-1,125,0.000000,"\text{Not used}","int((c*x)^(5/2)/(a + b*x^2)^(1/4),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(5/2)/(a + b*x^2)^(1/4), x)","F"
951,0,-1,83,0.000000,"\text{Not used}","int((c*x)^(1/2)/(a + b*x^2)^(1/4),x)","\int \frac{\sqrt{c\,x}}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(1/2)/(a + b*x^2)^(1/4), x)","F"
952,0,-1,90,0.000000,"\text{Not used}","int(1/((c*x)^(3/2)*(a + b*x^2)^(1/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/2}\,{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(3/2)*(a + b*x^2)^(1/4)), x)","F"
953,0,-1,126,0.000000,"\text{Not used}","int(1/((c*x)^(7/2)*(a + b*x^2)^(1/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{7/2}\,{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(7/2)*(a + b*x^2)^(1/4)), x)","F"
954,0,-1,157,0.000000,"\text{Not used}","int(1/((c*x)^(11/2)*(a + b*x^2)^(1/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{11/2}\,{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(11/2)*(a + b*x^2)^(1/4)), x)","F"
955,0,-1,308,0.000000,"\text{Not used}","int((c*x)^(3/2)/(a - b*x^2)^(1/4),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(3/2)/(a - b*x^2)^(1/4), x)","F"
956,0,-1,272,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(a - b*x^2)^(1/4)),x)","\int \frac{1}{\sqrt{c\,x}\,{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(a - b*x^2)^(1/4)), x)","F"
957,1,26,29,5.124301,"\text{Not used}","int(1/((c*x)^(5/2)*(a - b*x^2)^(1/4)),x)","-\frac{2\,{\left(a-b\,x^2\right)}^{3/4}}{3\,a\,c^2\,x\,\sqrt{c\,x}}","Not used",1,"-(2*(a - b*x^2)^(3/4))/(3*a*c^2*x*(c*x)^(1/2))","B"
958,1,41,59,5.144847,"\text{Not used}","int(1/((c*x)^(9/2)*(a - b*x^2)^(1/4)),x)","-\frac{{\left(a-b\,x^2\right)}^{3/4}\,\left(\frac{2}{7\,a\,c^4}+\frac{8\,b\,x^2}{21\,a^2\,c^4}\right)}{x^3\,\sqrt{c\,x}}","Not used",1,"-((a - b*x^2)^(3/4)*(2/(7*a*c^4) + (8*b*x^2)/(21*a^2*c^4)))/(x^3*(c*x)^(1/2))","B"
959,1,55,88,5.250709,"\text{Not used}","int(1/((c*x)^(13/2)*(a - b*x^2)^(1/4)),x)","-\frac{{\left(a-b\,x^2\right)}^{3/4}\,\left(\frac{2}{11\,a\,c^6}+\frac{16\,b\,x^2}{77\,a^2\,c^6}+\frac{64\,b^2\,x^4}{231\,a^3\,c^6}\right)}{x^5\,\sqrt{c\,x}}","Not used",1,"-((a - b*x^2)^(3/4)*(2/(11*a*c^6) + (16*b*x^2)/(77*a^2*c^6) + (64*b^2*x^4)/(231*a^3*c^6)))/(x^5*(c*x)^(1/2))","B"
960,0,-1,128,0.000000,"\text{Not used}","int((c*x)^(5/2)/(a - b*x^2)^(1/4),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(5/2)/(a - b*x^2)^(1/4), x)","F"
961,0,-1,90,0.000000,"\text{Not used}","int((c*x)^(1/2)/(a - b*x^2)^(1/4),x)","\int \frac{\sqrt{c\,x}}{{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(1/2)/(a - b*x^2)^(1/4), x)","F"
962,0,-1,68,0.000000,"\text{Not used}","int(1/((c*x)^(3/2)*(a - b*x^2)^(1/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/2}\,{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(3/2)*(a - b*x^2)^(1/4)), x)","F"
963,0,-1,100,0.000000,"\text{Not used}","int(1/((c*x)^(7/2)*(a - b*x^2)^(1/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{7/2}\,{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(7/2)*(a - b*x^2)^(1/4)), x)","F"
964,0,-1,130,0.000000,"\text{Not used}","int(1/((c*x)^(11/2)*(a - b*x^2)^(1/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{11/2}\,{\left(a-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(11/2)*(a - b*x^2)^(1/4)), x)","F"
965,0,-1,86,0.000000,"\text{Not used}","int((c*x)^(3/2)/(a + b*x^2)^(3/4),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int((c*x)^(3/2)/(a + b*x^2)^(3/4), x)","F"
966,0,-1,66,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(a + b*x^2)^(3/4)),x)","\int \frac{1}{\sqrt{c\,x}\,{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(a + b*x^2)^(3/4)), x)","F"
967,0,-1,97,0.000000,"\text{Not used}","int(1/((c*x)^(5/2)*(a + b*x^2)^(3/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/2}\,{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int(1/((c*x)^(5/2)*(a + b*x^2)^(3/4)), x)","F"
968,0,-1,126,0.000000,"\text{Not used}","int(1/((c*x)^(9/2)*(a + b*x^2)^(3/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{9/2}\,{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int(1/((c*x)^(9/2)*(a + b*x^2)^(3/4)), x)","F"
969,0,-1,157,0.000000,"\text{Not used}","int(1/((c*x)^(13/2)*(a + b*x^2)^(3/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{13/2}\,{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int(1/((c*x)^(13/2)*(a + b*x^2)^(3/4)), x)","F"
970,0,-1,117,0.000000,"\text{Not used}","int((c*x)^(5/2)/(a + b*x^2)^(3/4),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int((c*x)^(5/2)/(a + b*x^2)^(3/4), x)","F"
971,0,-1,84,0.000000,"\text{Not used}","int((c*x)^(1/2)/(a + b*x^2)^(3/4),x)","\int \frac{\sqrt{c\,x}}{{\left(b\,x^2+a\right)}^{3/4}} \,d x","Not used",1,"int((c*x)^(1/2)/(a + b*x^2)^(3/4), x)","F"
972,1,22,26,4.903320,"\text{Not used}","int(1/((c*x)^(3/2)*(a + b*x^2)^(3/4)),x)","-\frac{2\,{\left(b\,x^2+a\right)}^{1/4}}{a\,c\,\sqrt{c\,x}}","Not used",1,"-(2*(a + b*x^2)^(1/4))/(a*c*(c*x)^(1/2))","B"
973,1,40,55,4.981871,"\text{Not used}","int(1/((c*x)^(7/2)*(a + b*x^2)^(3/4)),x)","-\frac{{\left(b\,x^2+a\right)}^{1/4}\,\left(\frac{2}{5\,a\,c^3}-\frac{8\,b\,x^2}{5\,a^2\,c^3}\right)}{x^2\,\sqrt{c\,x}}","Not used",1,"-((a + b*x^2)^(1/4)*(2/(5*a*c^3) - (8*b*x^2)/(5*a^2*c^3)))/(x^2*(c*x)^(1/2))","B"
974,1,54,83,5.171795,"\text{Not used}","int(1/((c*x)^(11/2)*(a + b*x^2)^(3/4)),x)","-\frac{{\left(b\,x^2+a\right)}^{1/4}\,\left(\frac{2}{9\,a\,c^5}-\frac{16\,b\,x^2}{45\,a^2\,c^5}+\frac{64\,b^2\,x^4}{45\,a^3\,c^5}\right)}{x^4\,\sqrt{c\,x}}","Not used",1,"-((a + b*x^2)^(1/4)*(2/(9*a*c^5) - (16*b*x^2)/(45*a^2*c^5) + (64*b^2*x^4)/(45*a^3*c^5)))/(x^4*(c*x)^(1/2))","B"
975,0,-1,91,0.000000,"\text{Not used}","int((c*x)^(3/2)/(a - b*x^2)^(3/4),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int((c*x)^(3/2)/(a - b*x^2)^(3/4), x)","F"
976,0,-1,68,0.000000,"\text{Not used}","int(1/((c*x)^(1/2)*(a - b*x^2)^(3/4)),x)","\int \frac{1}{\sqrt{c\,x}\,{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(1/((c*x)^(1/2)*(a - b*x^2)^(3/4)), x)","F"
977,0,-1,100,0.000000,"\text{Not used}","int(1/((c*x)^(5/2)*(a - b*x^2)^(3/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/2}\,{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(1/((c*x)^(5/2)*(a - b*x^2)^(3/4)), x)","F"
978,0,-1,130,0.000000,"\text{Not used}","int(1/((c*x)^(9/2)*(a - b*x^2)^(3/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{9/2}\,{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(1/((c*x)^(9/2)*(a - b*x^2)^(3/4)), x)","F"
979,0,-1,162,0.000000,"\text{Not used}","int(1/((c*x)^(13/2)*(a - b*x^2)^(3/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{13/2}\,{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int(1/((c*x)^(13/2)*(a - b*x^2)^(3/4)), x)","F"
980,0,-1,308,0.000000,"\text{Not used}","int((c*x)^(5/2)/(a - b*x^2)^(3/4),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int((c*x)^(5/2)/(a - b*x^2)^(3/4), x)","F"
981,0,-1,272,0.000000,"\text{Not used}","int((c*x)^(1/2)/(a - b*x^2)^(3/4),x)","\int \frac{\sqrt{c\,x}}{{\left(a-b\,x^2\right)}^{3/4}} \,d x","Not used",1,"int((c*x)^(1/2)/(a - b*x^2)^(3/4), x)","F"
982,1,23,27,5.076383,"\text{Not used}","int(1/((c*x)^(3/2)*(a - b*x^2)^(3/4)),x)","-\frac{2\,{\left(a-b\,x^2\right)}^{1/4}}{a\,c\,\sqrt{c\,x}}","Not used",1,"-(2*(a - b*x^2)^(1/4))/(a*c*(c*x)^(1/2))","B"
983,1,41,57,5.096298,"\text{Not used}","int(1/((c*x)^(7/2)*(a - b*x^2)^(3/4)),x)","-\frac{{\left(a-b\,x^2\right)}^{1/4}\,\left(\frac{2}{5\,a\,c^3}+\frac{8\,b\,x^2}{5\,a^2\,c^3}\right)}{x^2\,\sqrt{c\,x}}","Not used",1,"-((a - b*x^2)^(1/4)*(2/(5*a*c^3) + (8*b*x^2)/(5*a^2*c^3)))/(x^2*(c*x)^(1/2))","B"
984,1,55,86,5.153234,"\text{Not used}","int(1/((c*x)^(11/2)*(a - b*x^2)^(3/4)),x)","-\frac{{\left(a-b\,x^2\right)}^{1/4}\,\left(\frac{2}{9\,a\,c^5}+\frac{16\,b\,x^2}{45\,a^2\,c^5}+\frac{64\,b^2\,x^4}{45\,a^3\,c^5}\right)}{x^4\,\sqrt{c\,x}}","Not used",1,"-((a - b*x^2)^(1/4)*(2/(9*a*c^5) + (16*b*x^2)/(45*a^2*c^5) + (64*b^2*x^4)/(45*a^3*c^5)))/(x^4*(c*x)^(1/2))","B"
985,0,-1,146,0.000000,"\text{Not used}","int((c*x)^(7/2)/(a + b*x^2)^(5/4),x)","\int \frac{{\left(c\,x\right)}^{7/2}}{{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int((c*x)^(7/2)/(a + b*x^2)^(5/4), x)","F"
986,0,-1,107,0.000000,"\text{Not used}","int((c*x)^(3/2)/(a + b*x^2)^(5/4),x)","\int \frac{{\left(c\,x\right)}^{3/2}}{{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int((c*x)^(3/2)/(a + b*x^2)^(5/4), x)","F"
987,1,29,26,4.967584,"\text{Not used}","int(1/((c*x)^(1/2)*(a + b*x^2)^(5/4)),x)","\frac{2\,x\,{\left(b\,x^2+a\right)}^{3/4}}{\left(a^2+b\,a\,x^2\right)\,\sqrt{c\,x}}","Not used",1,"(2*x*(a + b*x^2)^(3/4))/((a^2 + a*b*x^2)*(c*x)^(1/2))","B"
988,1,57,55,5.097013,"\text{Not used}","int(1/((c*x)^(5/2)*(a + b*x^2)^(5/4)),x)","-\frac{{\left(b\,x^2+a\right)}^{3/4}\,\left(\frac{2}{3\,a\,b\,c^2}+\frac{8\,x^2}{3\,a^2\,c^2}\right)}{x^3\,\sqrt{c\,x}+\frac{a\,x\,\sqrt{c\,x}}{b}}","Not used",1,"-((a + b*x^2)^(3/4)*(2/(3*a*b*c^2) + (8*x^2)/(3*a^2*c^2)))/(x^3*(c*x)^(1/2) + (a*x*(c*x)^(1/2))/b)","B"
989,1,70,83,5.154427,"\text{Not used}","int(1/((c*x)^(9/2)*(a + b*x^2)^(5/4)),x)","\frac{{\left(b\,x^2+a\right)}^{3/4}\,\left(\frac{16\,x^2}{21\,a^2\,c^4}-\frac{2}{7\,a\,b\,c^4}+\frac{64\,b\,x^4}{21\,a^3\,c^4}\right)}{x^5\,\sqrt{c\,x}+\frac{a\,x^3\,\sqrt{c\,x}}{b}}","Not used",1,"((a + b*x^2)^(3/4)*((16*x^2)/(21*a^2*c^4) - 2/(7*a*b*c^4) + (64*b*x^4)/(21*a^3*c^4)))/(x^5*(c*x)^(1/2) + (a*x^3*(c*x)^(1/2))/b)","B"
990,1,85,109,5.196978,"\text{Not used}","int(1/((c*x)^(13/2)*(a + b*x^2)^(5/4)),x)","-\frac{{\left(b\,x^2+a\right)}^{3/4}\,\left(\frac{2}{11\,a\,b\,c^6}-\frac{24\,x^2}{77\,a^2\,c^6}+\frac{64\,b\,x^4}{77\,a^3\,c^6}+\frac{256\,b^2\,x^6}{77\,a^4\,c^6}\right)}{x^7\,\sqrt{c\,x}+\frac{a\,x^5\,\sqrt{c\,x}}{b}}","Not used",1,"-((a + b*x^2)^(3/4)*(2/(11*a*b*c^6) - (24*x^2)/(77*a^2*c^6) + (64*b*x^4)/(77*a^3*c^6) + (256*b^2*x^6)/(77*a^4*c^6)))/(x^7*(c*x)^(1/2) + (a*x^5*(c*x)^(1/2))/b)","B"
991,0,-1,155,0.000000,"\text{Not used}","int((c*x)^(13/2)/(a + b*x^2)^(5/4),x)","\int \frac{{\left(c\,x\right)}^{13/2}}{{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int((c*x)^(13/2)/(a + b*x^2)^(5/4), x)","F"
992,0,-1,124,0.000000,"\text{Not used}","int((c*x)^(9/2)/(a + b*x^2)^(5/4),x)","\int \frac{{\left(c\,x\right)}^{9/2}}{{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int((c*x)^(9/2)/(a + b*x^2)^(5/4), x)","F"
993,0,-1,90,0.000000,"\text{Not used}","int((c*x)^(5/2)/(a + b*x^2)^(5/4),x)","\int \frac{{\left(c\,x\right)}^{5/2}}{{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int((c*x)^(5/2)/(a + b*x^2)^(5/4), x)","F"
994,0,-1,63,0.000000,"\text{Not used}","int((c*x)^(1/2)/(a + b*x^2)^(5/4),x)","\int \frac{\sqrt{c\,x}}{{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int((c*x)^(1/2)/(a + b*x^2)^(5/4), x)","F"
995,0,-1,93,0.000000,"\text{Not used}","int(1/((c*x)^(3/2)*(a + b*x^2)^(5/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/2}\,{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int(1/((c*x)^(3/2)*(a + b*x^2)^(5/4)), x)","F"
996,0,-1,126,0.000000,"\text{Not used}","int(1/((c*x)^(7/2)*(a + b*x^2)^(5/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{7/2}\,{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int(1/((c*x)^(7/2)*(a + b*x^2)^(5/4)), x)","F"
997,0,-1,157,0.000000,"\text{Not used}","int(1/((c*x)^(11/2)*(a + b*x^2)^(5/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{11/2}\,{\left(b\,x^2+a\right)}^{5/4}} \,d x","Not used",1,"int(1/((c*x)^(11/2)*(a + b*x^2)^(5/4)), x)","F"
998,0,-1,58,0.000000,"\text{Not used}","int((c*x)^(5/4)/(a + b*x^2)^(1/4),x)","\int \frac{{\left(c\,x\right)}^{5/4}}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(5/4)/(a + b*x^2)^(1/4), x)","F"
999,0,-1,58,0.000000,"\text{Not used}","int((c*x)^(3/4)/(a + b*x^2)^(1/4),x)","\int \frac{{\left(c\,x\right)}^{3/4}}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(3/4)/(a + b*x^2)^(1/4), x)","F"
1000,0,-1,58,0.000000,"\text{Not used}","int((c*x)^(1/4)/(a + b*x^2)^(1/4),x)","\int \frac{{\left(c\,x\right)}^{1/4}}{{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int((c*x)^(1/4)/(a + b*x^2)^(1/4), x)","F"
1001,0,-1,58,0.000000,"\text{Not used}","int(1/((c*x)^(1/4)*(a + b*x^2)^(1/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{1/4}\,{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(1/4)*(a + b*x^2)^(1/4)), x)","F"
1002,0,-1,56,0.000000,"\text{Not used}","int(1/((c*x)^(3/4)*(a + b*x^2)^(1/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/4}\,{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(3/4)*(a + b*x^2)^(1/4)), x)","F"
1003,0,-1,56,0.000000,"\text{Not used}","int(1/((c*x)^(5/4)*(a + b*x^2)^(1/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/4}\,{\left(b\,x^2+a\right)}^{1/4}} \,d x","Not used",1,"int(1/((c*x)^(5/4)*(a + b*x^2)^(1/4)), x)","F"
1004,0,-1,61,0.000000,"\text{Not used}","int((c*x)^(5/4)/(a + b*x^2)^(7/4),x)","\int \frac{{\left(c\,x\right)}^{5/4}}{{\left(b\,x^2+a\right)}^{7/4}} \,d x","Not used",1,"int((c*x)^(5/4)/(a + b*x^2)^(7/4), x)","F"
1005,0,-1,61,0.000000,"\text{Not used}","int((c*x)^(3/4)/(a + b*x^2)^(7/4),x)","\int \frac{{\left(c\,x\right)}^{3/4}}{{\left(b\,x^2+a\right)}^{7/4}} \,d x","Not used",1,"int((c*x)^(3/4)/(a + b*x^2)^(7/4), x)","F"
1006,0,-1,61,0.000000,"\text{Not used}","int((c*x)^(1/4)/(a + b*x^2)^(7/4),x)","\int \frac{{\left(c\,x\right)}^{1/4}}{{\left(b\,x^2+a\right)}^{7/4}} \,d x","Not used",1,"int((c*x)^(1/4)/(a + b*x^2)^(7/4), x)","F"
1007,0,-1,61,0.000000,"\text{Not used}","int(1/((c*x)^(1/4)*(a + b*x^2)^(7/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{1/4}\,{\left(b\,x^2+a\right)}^{7/4}} \,d x","Not used",1,"int(1/((c*x)^(1/4)*(a + b*x^2)^(7/4)), x)","F"
1008,0,-1,59,0.000000,"\text{Not used}","int(1/((c*x)^(3/4)*(a + b*x^2)^(7/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{3/4}\,{\left(b\,x^2+a\right)}^{7/4}} \,d x","Not used",1,"int(1/((c*x)^(3/4)*(a + b*x^2)^(7/4)), x)","F"
1009,0,-1,59,0.000000,"\text{Not used}","int(1/((c*x)^(5/4)*(a + b*x^2)^(7/4)),x)","\int \frac{1}{{\left(c\,x\right)}^{5/4}\,{\left(b\,x^2+a\right)}^{7/4}} \,d x","Not used",1,"int(1/((c*x)^(5/4)*(a + b*x^2)^(7/4)), x)","F"
1010,0,-1,345,0.000000,"\text{Not used}","int(x^6*(a + b*x^2)^(1/6),x)","\int x^6\,{\left(b\,x^2+a\right)}^{1/6} \,d x","Not used",1,"int(x^6*(a + b*x^2)^(1/6), x)","F"
1011,0,-1,321,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^(1/6),x)","\int x^4\,{\left(b\,x^2+a\right)}^{1/6} \,d x","Not used",1,"int(x^4*(a + b*x^2)^(1/6), x)","F"
1012,0,-1,297,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^(1/6),x)","\int x^2\,{\left(b\,x^2+a\right)}^{1/6} \,d x","Not used",1,"int(x^2*(a + b*x^2)^(1/6), x)","F"
1013,1,37,273,4.883905,"\text{Not used}","int((a + b*x^2)^(1/6),x)","\frac{x\,{\left(b\,x^2+a\right)}^{1/6}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{6},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^{1/6}}","Not used",1,"(x*(a + b*x^2)^(1/6)*hypergeom([-1/6, 1/2], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^(1/6)","B"
1014,1,40,266,5.078742,"\text{Not used}","int((a + b*x^2)^(1/6)/x^2,x)","-\frac{3\,{\left(b\,x^2+a\right)}^{1/6}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{6},\frac{1}{3};\ \frac{4}{3};\ -\frac{a}{b\,x^2}\right)}{2\,x\,{\left(\frac{a}{b\,x^2}+1\right)}^{1/6}}","Not used",1,"-(3*(a + b*x^2)^(1/6)*hypergeom([-1/6, 1/3], 4/3, -a/(b*x^2)))/(2*x*(a/(b*x^2) + 1)^(1/6))","B"
1015,0,-1,297,0.000000,"\text{Not used}","int((a + b*x^2)^(1/6)/x^4,x)","\int \frac{{\left(b\,x^2+a\right)}^{1/6}}{x^4} \,d x","Not used",1,"int((a + b*x^2)^(1/6)/x^4, x)","F"
1016,0,-1,323,0.000000,"\text{Not used}","int((a + b*x^2)^(1/6)/x^6,x)","\int \frac{{\left(b\,x^2+a\right)}^{1/6}}{x^6} \,d x","Not used",1,"int((a + b*x^2)^(1/6)/x^6, x)","F"
1017,0,-1,347,0.000000,"\text{Not used}","int((a + b*x^2)^(1/6)/x^8,x)","\int \frac{{\left(b\,x^2+a\right)}^{1/6}}{x^8} \,d x","Not used",1,"int((a + b*x^2)^(1/6)/x^8, x)","F"
1018,0,-1,659,0.000000,"\text{Not used}","int(x^6/(a + b*x^2)^(1/6),x)","\int \frac{x^6}{{\left(b\,x^2+a\right)}^{1/6}} \,d x","Not used",1,"int(x^6/(a + b*x^2)^(1/6), x)","F"
1019,0,-1,635,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(1/6),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{1/6}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(1/6), x)","F"
1020,0,-1,611,0.000000,"\text{Not used}","int(x^2/(a + b*x^2)^(1/6),x)","\int \frac{x^2}{{\left(b\,x^2+a\right)}^{1/6}} \,d x","Not used",1,"int(x^2/(a + b*x^2)^(1/6), x)","F"
1021,1,37,577,4.878902,"\text{Not used}","int(1/(a + b*x^2)^(1/6),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{1/6}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{6},\frac{1}{2};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{1/6}}","Not used",1,"(x*((b*x^2)/a + 1)^(1/6)*hypergeom([1/6, 1/2], 3/2, -(b*x^2)/a))/(a + b*x^2)^(1/6)","B"
1022,1,40,586,5.086943,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(1/6)),x)","-\frac{3\,{\left(\frac{a}{b\,x^2}+1\right)}^{1/6}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{6},\frac{2}{3};\ \frac{5}{3};\ -\frac{a}{b\,x^2}\right)}{4\,x\,{\left(b\,x^2+a\right)}^{1/6}}","Not used",1,"-(3*(a/(b*x^2) + 1)^(1/6)*hypergeom([1/6, 2/3], 5/3, -a/(b*x^2)))/(4*x*(a + b*x^2)^(1/6))","B"
1023,0,-1,633,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(1/6)),x)","\int \frac{1}{x^4\,{\left(b\,x^2+a\right)}^{1/6}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^2)^(1/6)), x)","F"
1024,0,-1,661,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^2)^(1/6)),x)","\int \frac{1}{x^6\,{\left(b\,x^2+a\right)}^{1/6}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^2)^(1/6)), x)","F"
1025,0,-1,324,0.000000,"\text{Not used}","int(x^6/(a + b*x^2)^(5/6),x)","\int \frac{x^6}{{\left(b\,x^2+a\right)}^{5/6}} \,d x","Not used",1,"int(x^6/(a + b*x^2)^(5/6), x)","F"
1026,0,-1,300,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(5/6),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{5/6}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(5/6), x)","F"
1027,0,-1,276,0.000000,"\text{Not used}","int(x^2/(a + b*x^2)^(5/6),x)","\int \frac{x^2}{{\left(b\,x^2+a\right)}^{5/6}} \,d x","Not used",1,"int(x^2/(a + b*x^2)^(5/6), x)","F"
1028,1,37,252,4.906352,"\text{Not used}","int(1/(a + b*x^2)^(5/6),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{5/6}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{5}{6};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{5/6}}","Not used",1,"(x*((b*x^2)/a + 1)^(5/6)*hypergeom([1/2, 5/6], 3/2, -(b*x^2)/a))/(a + b*x^2)^(5/6)","B"
1029,1,40,273,5.099527,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(5/6)),x)","-\frac{3\,{\left(\frac{a}{b\,x^2}+1\right)}^{5/6}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{6},\frac{4}{3};\ \frac{7}{3};\ -\frac{a}{b\,x^2}\right)}{8\,x\,{\left(b\,x^2+a\right)}^{5/6}}","Not used",1,"-(3*(a/(b*x^2) + 1)^(5/6)*hypergeom([5/6, 4/3], 7/3, -a/(b*x^2)))/(8*x*(a + b*x^2)^(5/6))","B"
1030,0,-1,300,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(5/6)),x)","\int \frac{1}{x^4\,{\left(b\,x^2+a\right)}^{5/6}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^2)^(5/6)), x)","F"
1031,0,-1,326,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^2)^(5/6)),x)","\int \frac{1}{x^6\,{\left(b\,x^2+a\right)}^{5/6}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^2)^(5/6)), x)","F"
1032,0,-1,654,0.000000,"\text{Not used}","int(x^6/(a + b*x^2)^(7/6),x)","\int \frac{x^6}{{\left(b\,x^2+a\right)}^{7/6}} \,d x","Not used",1,"int(x^6/(a + b*x^2)^(7/6), x)","F"
1033,0,-1,630,0.000000,"\text{Not used}","int(x^4/(a + b*x^2)^(7/6),x)","\int \frac{x^4}{{\left(b\,x^2+a\right)}^{7/6}} \,d x","Not used",1,"int(x^4/(a + b*x^2)^(7/6), x)","F"
1034,0,-1,583,0.000000,"\text{Not used}","int(x^2/(a + b*x^2)^(7/6),x)","\int \frac{x^2}{{\left(b\,x^2+a\right)}^{7/6}} \,d x","Not used",1,"int(x^2/(a + b*x^2)^(7/6), x)","F"
1035,1,37,555,4.942719,"\text{Not used}","int(1/(a + b*x^2)^(7/6),x)","\frac{x\,{\left(\frac{b\,x^2}{a}+1\right)}^{7/6}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{7}{6};\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(b\,x^2+a\right)}^{7/6}}","Not used",1,"(x*((b*x^2)/a + 1)^(7/6)*hypergeom([1/2, 7/6], 3/2, -(b*x^2)/a))/(a + b*x^2)^(7/6)","B"
1036,1,40,614,5.120819,"\text{Not used}","int(1/(x^2*(a + b*x^2)^(7/6)),x)","-\frac{3\,{\left(\frac{a}{b\,x^2}+1\right)}^{7/6}\,{{}}_2{\mathrm{F}}_1\left(\frac{7}{6},\frac{5}{3};\ \frac{8}{3};\ -\frac{a}{b\,x^2}\right)}{10\,x\,{\left(b\,x^2+a\right)}^{7/6}}","Not used",1,"-(3*(a/(b*x^2) + 1)^(7/6)*hypergeom([7/6, 5/3], 8/3, -a/(b*x^2)))/(10*x*(a + b*x^2)^(7/6))","B"
1037,0,-1,652,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^2)^(7/6)),x)","\int \frac{1}{x^4\,{\left(b\,x^2+a\right)}^{7/6}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^2)^(7/6)), x)","F"
1038,0,-1,680,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^2)^(7/6)),x)","\int \frac{1}{x^6\,{\left(b\,x^2+a\right)}^{7/6}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^2)^(7/6)), x)","F"
1039,1,183,100,4.965585,"\text{Not used}","int(x^7*(a + b*x^2)^p,x)","{\left(b\,x^2+a\right)}^p\,\left(\frac{x^8\,\left(p^3+6\,p^2+11\,p+6\right)}{2\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}-\frac{3\,a^4}{b^4\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}+\frac{3\,a^3\,p\,x^2}{b^3\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}+\frac{a\,p\,x^6\,\left(p^2+3\,p+2\right)}{2\,b\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}-\frac{3\,a^2\,p\,x^4\,\left(p+1\right)}{2\,b^2\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}\right)","Not used",1,"(a + b*x^2)^p*((x^8*(11*p + 6*p^2 + p^3 + 6))/(2*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) - (3*a^4)/(b^4*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) + (3*a^3*p*x^2)/(b^3*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) + (a*p*x^6*(3*p + p^2 + 2))/(2*b*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) - (3*a^2*p*x^4*(p + 1))/(2*b^2*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)))","B"
1040,1,117,72,4.902296,"\text{Not used}","int(x^5*(a + b*x^2)^p,x)","{\left(b\,x^2+a\right)}^p\,\left(\frac{a^3}{b^3\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{x^6\,\left(p^2+3\,p+2\right)}{2\,\left(p^3+6\,p^2+11\,p+6\right)}-\frac{a^2\,p\,x^2}{b^2\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{a\,p\,x^4\,\left(p+1\right)}{2\,b\,\left(p^3+6\,p^2+11\,p+6\right)}\right)","Not used",1,"(a + b*x^2)^p*(a^3/(b^3*(11*p + 6*p^2 + p^3 + 6)) + (x^6*(3*p + p^2 + 2))/(2*(11*p + 6*p^2 + p^3 + 6)) - (a^2*p*x^2)/(b^2*(11*p + 6*p^2 + p^3 + 6)) + (a*p*x^4*(p + 1))/(2*b*(11*p + 6*p^2 + p^3 + 6)))","B"
1041,1,68,48,4.886958,"\text{Not used}","int(x^3*(a + b*x^2)^p,x)","{\left(b\,x^2+a\right)}^p\,\left(\frac{x^4\,\left(p+1\right)}{2\,\left(p^2+3\,p+2\right)}-\frac{a^2}{2\,b^2\,\left(p^2+3\,p+2\right)}+\frac{a\,p\,x^2}{2\,b\,\left(p^2+3\,p+2\right)}\right)","Not used",1,"(a + b*x^2)^p*((x^4*(p + 1))/(2*(3*p + p^2 + 2)) - a^2/(2*b^2*(3*p + p^2 + 2)) + (a*p*x^2)/(2*b*(3*p + p^2 + 2)))","B"
1042,1,21,23,4.891553,"\text{Not used}","int(x*(a + b*x^2)^p,x)","\frac{{\left(b\,x^2+a\right)}^{p+1}}{2\,b\,\left(p+1\right)}","Not used",1,"(a + b*x^2)^(p + 1)/(2*b*(p + 1))","B"
1043,0,-1,41,0.000000,"\text{Not used}","int((a + b*x^2)^p/x,x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x} \,d x","Not used",1,"int((a + b*x^2)^p/x, x)","F"
1044,0,-1,42,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^3,x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^3} \,d x","Not used",1,"int((a + b*x^2)^p/x^3, x)","F"
1045,0,-1,40,0.000000,"\text{Not used}","int(x^6*(a + b*x^2)^p,x)","\int x^6\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^6*(a + b*x^2)^p, x)","F"
1046,0,-1,40,0.000000,"\text{Not used}","int(x^4*(a + b*x^2)^p,x)","\int x^4\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^4*(a + b*x^2)^p, x)","F"
1047,0,-1,40,0.000000,"\text{Not used}","int(x^2*(a + b*x^2)^p,x)","\int x^2\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^2*(a + b*x^2)^p, x)","F"
1048,1,41,35,5.409675,"\text{Not used}","int((a + b*x^2)^p,x)","\frac{x\,{\left(b\,x^2+a\right)}^p\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},-p;\ \frac{3}{2};\ -\frac{b\,x^2}{a}\right)}{{\left(\frac{b\,x^2}{a}+1\right)}^p}","Not used",1,"(x*(a + b*x^2)^p*hypergeom([1/2, -p], 3/2, -(b*x^2)/a))/((b*x^2)/a + 1)^p","B"
1049,1,58,38,5.029353,"\text{Not used}","int((a + b*x^2)^p/x^2,x)","\frac{{\left(b\,x^2+a\right)}^p\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2}-p,-p;\ \frac{3}{2}-p;\ -\frac{a}{b\,x^2}\right)}{x\,\left(2\,p-1\right)\,{\left(\frac{a}{b\,x^2}+1\right)}^p}","Not used",1,"((a + b*x^2)^p*hypergeom([1/2 - p, -p], 3/2 - p, -a/(b*x^2)))/(x*(2*p - 1)*(a/(b*x^2) + 1)^p)","B"
1050,0,-1,42,0.000000,"\text{Not used}","int(x^(7/2)*(a + b*x^2)^p,x)","\int x^{7/2}\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^(7/2)*(a + b*x^2)^p, x)","F"
1051,0,-1,42,0.000000,"\text{Not used}","int(x^(5/2)*(a + b*x^2)^p,x)","\int x^{5/2}\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^(5/2)*(a + b*x^2)^p, x)","F"
1052,0,-1,42,0.000000,"\text{Not used}","int(x^(3/2)*(a + b*x^2)^p,x)","\int x^{3/2}\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^(3/2)*(a + b*x^2)^p, x)","F"
1053,0,-1,42,0.000000,"\text{Not used}","int(x^(1/2)*(a + b*x^2)^p,x)","\int \sqrt{x}\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^(1/2)*(a + b*x^2)^p, x)","F"
1054,0,-1,40,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(1/2),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{\sqrt{x}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(1/2), x)","F"
1055,0,-1,40,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(3/2),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^{3/2}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(3/2), x)","F"
1056,0,-1,42,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(5/2),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^{5/2}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(5/2), x)","F"
1057,0,-1,42,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(7/2),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^{7/2}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(7/2), x)","F"
1058,0,-1,53,0.000000,"\text{Not used}","int(x^m*(a + b*x^2)^p,x)","\int x^m\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^m*(a + b*x^2)^p, x)","F"
1059,0,-1,66,0.000000,"\text{Not used}","int((c*x)^m*(a + b*x^2)^p,x)","\int {\left(c\,x\right)}^m\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int((c*x)^m*(a + b*x^2)^p, x)","F"
1060,0,-1,53,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(2*p + 8),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^{2\,p+8}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(2*p + 8), x)","F"
1061,1,154,105,5.089061,"\text{Not used}","int((a + b*x^2)^p/x^(2*p + 7),x)","-{\left(b\,x^2+a\right)}^p\,\left(\frac{x\,\left(p^2+3\,p+2\right)}{2\,x^{2\,p+7}\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{b^3\,x^7}{a^3\,x^{2\,p+7}\,\left(p^3+6\,p^2+11\,p+6\right)}-\frac{b^2\,p\,x^5}{a^2\,x^{2\,p+7}\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{b\,p\,x^3\,\left(p+1\right)}{2\,a\,x^{2\,p+7}\,\left(p^3+6\,p^2+11\,p+6\right)}\right)","Not used",1,"-(a + b*x^2)^p*((x*(3*p + p^2 + 2))/(2*x^(2*p + 7)*(11*p + 6*p^2 + p^3 + 6)) + (b^3*x^7)/(a^3*x^(2*p + 7)*(11*p + 6*p^2 + p^3 + 6)) - (b^2*p*x^5)/(a^2*x^(2*p + 7)*(11*p + 6*p^2 + p^3 + 6)) + (b*p*x^3*(p + 1))/(2*a*x^(2*p + 7)*(11*p + 6*p^2 + p^3 + 6)))","B"
1062,0,-1,53,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(2*p + 6),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^{2\,p+6}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(2*p + 6), x)","F"
1063,1,96,67,5.019508,"\text{Not used}","int((a + b*x^2)^p/x^(2*p + 5),x)","-{\left(b\,x^2+a\right)}^p\,\left(\frac{x\,\left(p+1\right)}{2\,x^{2\,p+5}\,\left(p^2+3\,p+2\right)}-\frac{b^2\,x^5}{2\,a^2\,x^{2\,p+5}\,\left(p^2+3\,p+2\right)}+\frac{b\,p\,x^3}{2\,a\,x^{2\,p+5}\,\left(p^2+3\,p+2\right)}\right)","Not used",1,"-(a + b*x^2)^p*((x*(p + 1))/(2*x^(2*p + 5)*(3*p + p^2 + 2)) - (b^2*x^5)/(2*a^2*x^(2*p + 5)*(3*p + p^2 + 2)) + (b*p*x^3)/(2*a*x^(2*p + 5)*(3*p + p^2 + 2)))","B"
1064,0,-1,53,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(2*p + 4),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^{2\,p+4}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(2*p + 4), x)","F"
1065,1,52,30,5.053223,"\text{Not used}","int((a + b*x^2)^p/x^(2*p + 3),x)","-{\left(b\,x^2+a\right)}^p\,\left(\frac{x}{2\,x^{2\,p+3}\,\left(p+1\right)}+\frac{b\,x^3}{2\,a\,x^{2\,p+3}\,\left(p+1\right)}\right)","Not used",1,"-(a + b*x^2)^p*(x/(2*x^(2*p + 3)*(p + 1)) + (b*x^3)/(2*a*x^(2*p + 3)*(p + 1)))","B"
1066,0,-1,53,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(2*p + 2),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^{2\,p+2}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(2*p + 2), x)","F"
1067,0,-1,43,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(2*p + 1),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^{2\,p+1}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(2*p + 1), x)","F"
1068,0,-1,52,0.000000,"\text{Not used}","int((a + b*x^2)^p/x^(2*p),x)","\int \frac{{\left(b\,x^2+a\right)}^p}{x^{2\,p}} \,d x","Not used",1,"int((a + b*x^2)^p/x^(2*p), x)","F"
1069,0,-1,49,0.000000,"\text{Not used}","int(x^(1 - 2*p)*(a + b*x^2)^p,x)","\int x^{1-2\,p}\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^(1 - 2*p)*(a + b*x^2)^p, x)","F"
1070,0,-1,52,0.000000,"\text{Not used}","int(x^(2 - 2*p)*(a + b*x^2)^p,x)","\int x^{2-2\,p}\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^(2 - 2*p)*(a + b*x^2)^p, x)","F"
1071,0,-1,49,0.000000,"\text{Not used}","int(x^(3 - 2*p)*(a + b*x^2)^p,x)","\int x^{3-2\,p}\,{\left(b\,x^2+a\right)}^p \,d x","Not used",1,"int(x^(3 - 2*p)*(a + b*x^2)^p, x)","F"