1,1,1,1,0.041219,"\text{Not used}","int(0,x)","0","Not used",1,"0","B"
2,1,1,1,0.005169,"\text{Not used}","int(1,x)","x","Not used",1,"x","B"
3,1,3,3,0.006000,"\text{Not used}","int(5,x)","5\,x","Not used",1,"5*x","B"
4,1,3,3,0.004378,"\text{Not used}","int(-2,x)","-2\,x","Not used",1,"-2*x","B"
5,1,3,5,0.007960,"\text{Not used}","int(-3/2,x)","-\frac{3\,x}{2}","Not used",1,"-(3*x)/2","B"
6,1,3,3,0.002306,"\text{Not used}","int(Pi,x)","\Pi \,x","Not used",1,"Pi*x","B"
7,1,3,3,0.002293,"\text{Not used}","int(a,x)","a\,x","Not used",1,"a*x","B"
8,1,4,4,0.002275,"\text{Not used}","int(3*a,x)","3\,a\,x","Not used",1,"3*a*x","B"
9,1,11,14,0.002777,"\text{Not used}","int(Pi/(16 - exp(2))^(1/2),x)","\frac{\Pi \,x}{\sqrt{16-{\mathrm{e}}^2}}","Not used",1,"(Pi*x)/(16 - exp(2))^(1/2)","B"
10,1,5,7,0.117964,"\text{Not used}","int(x^100,x)","\frac{x^{101}}{101}","Not used",1,"x^101/101","B"
11,1,5,7,0.021586,"\text{Not used}","int(x^3,x)","\frac{x^4}{4}","Not used",1,"x^4/4","B"
12,1,5,7,0.009648,"\text{Not used}","int(x^2,x)","\frac{x^3}{3}","Not used",1,"x^3/3","B"
13,1,5,7,0.011788,"\text{Not used}","int(x,x)","\frac{x^2}{2}","Not used",1,"x^2/2","B"
14,1,1,1,0.002109,"\text{Not used}","int(1,x)","x","Not used",1,"x","B"
15,1,2,2,0.036264,"\text{Not used}","int(1/x,x)","\ln\left(x\right)","Not used",1,"log(x)","B"
16,1,5,5,0.034594,"\text{Not used}","int(1/x^2,x)","-\frac{1}{x}","Not used",1,"-1/x","B"
17,1,5,7,0.013562,"\text{Not used}","int(1/x^3,x)","-\frac{1}{2\,x^2}","Not used",1,"-1/(2*x^2)","B"
18,1,5,7,0.011908,"\text{Not used}","int(1/x^4,x)","-\frac{1}{3\,x^3}","Not used",1,"-1/(3*x^3)","B"
19,1,5,7,0.069578,"\text{Not used}","int(1/x^100,x)","-\frac{1}{99\,x^{99}}","Not used",1,"-1/(99*x^99)","B"
20,1,5,9,0.077416,"\text{Not used}","int(x^(5/2),x)","\frac{2\,x^{7/2}}{7}","Not used",1,"(2*x^(7/2))/7","B"
21,1,5,9,0.030529,"\text{Not used}","int(x^(3/2),x)","\frac{2\,x^{5/2}}{5}","Not used",1,"(2*x^(5/2))/5","B"
22,1,5,9,0.029384,"\text{Not used}","int(x^(1/2),x)","\frac{2\,x^{3/2}}{3}","Not used",1,"(2*x^(3/2))/3","B"
23,1,5,7,0.031017,"\text{Not used}","int(1/x^(1/2),x)","2\,\sqrt{x}","Not used",1,"2*x^(1/2)","B"
24,1,5,7,0.031124,"\text{Not used}","int(1/x^(3/2),x)","-\frac{2}{\sqrt{x}}","Not used",1,"-2/x^(1/2)","B"
25,1,5,9,0.033514,"\text{Not used}","int(1/x^(5/2),x)","-\frac{2}{3\,x^{3/2}}","Not used",1,"-2/(3*x^(3/2))","B"
26,1,5,9,0.072853,"\text{Not used}","int(x^(5/3),x)","\frac{3\,x^{8/3}}{8}","Not used",1,"(3*x^(8/3))/8","B"
27,1,5,9,0.065786,"\text{Not used}","int(x^(4/3),x)","\frac{3\,x^{7/3}}{7}","Not used",1,"(3*x^(7/3))/7","B"
28,1,5,9,0.065451,"\text{Not used}","int(x^(2/3),x)","\frac{3\,x^{5/3}}{5}","Not used",1,"(3*x^(5/3))/5","B"
29,1,5,9,0.064539,"\text{Not used}","int(x^(1/3),x)","\frac{3\,x^{4/3}}{4}","Not used",1,"(3*x^(4/3))/4","B"
30,1,5,9,0.040333,"\text{Not used}","int(1/x^(1/3),x)","\frac{3\,x^{2/3}}{2}","Not used",1,"(3*x^(2/3))/2","B"
31,1,5,7,0.066569,"\text{Not used}","int(1/x^(2/3),x)","3\,x^{1/3}","Not used",1,"3*x^(1/3)","B"
32,1,5,7,0.073286,"\text{Not used}","int(1/x^(4/3),x)","-\frac{3}{x^{1/3}}","Not used",1,"-3/x^(1/3)","B"
33,1,5,9,0.051229,"\text{Not used}","int(1/x^(5/3),x)","-\frac{3}{2\,x^{2/3}}","Not used",1,"-3/(2*x^(2/3))","B"
34,1,20,11,0.345089,"\text{Not used}","int(x^n,x)","\left\{\begin{array}{cl} \ln\left(x\right) & \text{\ if\ \ }n=-1\\ \frac{x^{n+1}}{n+1} & \text{\ if\ \ }n\neq -1 \end{array}\right.","Not used",1,"piecewise(n == -1, log(x), n ~= -1, x^(n + 1)/(n + 1))","B"
35,1,12,16,0.182754,"\text{Not used}","int((b*x)^n,x)","\frac{x\,{\left(b\,x\right)}^n}{n+1}","Not used",1,"(x*(b*x)^n)/(n + 1)","B"
36,1,21,23,0.143056,"\text{Not used}","int(1/((-a)^(1/2) + e*(c + d*x)),x)","\frac{\ln\left(\sqrt{-a}+c\,e+d\,e\,x\right)}{d\,e}","Not used",1,"log((-a)^(1/2) + c*e + d*e*x)/(d*e)","B"
37,1,93,23,0.182668,"\text{Not used}","int((c + d*(a + b*x))^(5/2),x)","\frac{6\,x\,\sqrt{c+d\,\left(a+b\,x\right)}\,{\left(c+a\,d\right)}^2}{7}+\frac{2\,\sqrt{c+d\,\left(a+b\,x\right)}\,{\left(c+a\,d\right)}^3}{7\,b\,d}+\frac{2\,b^2\,d^2\,x^3\,\sqrt{c+d\,\left(a+b\,x\right)}}{7}+\frac{6\,b\,d\,x^2\,\sqrt{c+d\,\left(a+b\,x\right)}\,\left(c+a\,d\right)}{7}","Not used",1,"(6*x*(c + d*(a + b*x))^(1/2)*(c + a*d)^2)/7 + (2*(c + d*(a + b*x))^(1/2)*(c + a*d)^3)/(7*b*d) + (2*b^2*d^2*x^3*(c + d*(a + b*x))^(1/2))/7 + (6*b*d*x^2*(c + d*(a + b*x))^(1/2)*(c + a*d))/7","B"
38,1,45,23,0.169997,"\text{Not used}","int((c + d*(a + b*x))^(3/2),x)","\sqrt{c+d\,\left(a+b\,x\right)}\,\left(x\,\left(\frac{4\,c}{5}+\frac{4\,a\,d}{5}\right)+\frac{2\,{\left(c+a\,d\right)}^2}{5\,b\,d}+\frac{2\,b\,d\,x^2}{5}\right)","Not used",1,"(c + d*(a + b*x))^(1/2)*(x*((4*c)/5 + (4*a*d)/5) + (2*(c + a*d)^2)/(5*b*d) + (2*b*d*x^2)/5)","B"
39,1,19,23,0.075442,"\text{Not used}","int((c + d*(a + b*x))^(1/2),x)","\frac{2\,{\left(c+d\,\left(a+b\,x\right)\right)}^{3/2}}{3\,b\,d}","Not used",1,"(2*(c + d*(a + b*x))^(3/2))/(3*b*d)","B"
40,1,19,21,0.106196,"\text{Not used}","int(1/(c + d*(a + b*x))^(1/2),x)","\frac{2\,\sqrt{c+d\,\left(a+b\,x\right)}}{b\,d}","Not used",1,"(2*(c + d*(a + b*x))^(1/2))/(b*d)","B"
41,1,19,21,0.134981,"\text{Not used}","int(1/(c + d*(a + b*x))^(3/2),x)","-\frac{2}{b\,d\,\sqrt{c+d\,\left(a+b\,x\right)}}","Not used",1,"-2/(b*d*(c + d*(a + b*x))^(1/2))","B"
42,1,19,23,0.178934,"\text{Not used}","int(1/(c + d*(a + b*x))^(5/2),x)","-\frac{2}{3\,b\,d\,{\left(c+d\,\left(a+b\,x\right)\right)}^{3/2}}","Not used",1,"-2/(3*b*d*(c + d*(a + b*x))^(3/2))","B"
43,1,13,17,0.019590,"\text{Not used}","int(x^3*(a + b*x),x)","\frac{x^4\,\left(5\,a+4\,b\,x\right)}{20}","Not used",1,"(x^4*(5*a + 4*b*x))/20","B"
44,1,13,17,0.019471,"\text{Not used}","int(x^2*(a + b*x),x)","\frac{x^3\,\left(4\,a+3\,b\,x\right)}{12}","Not used",1,"(x^3*(4*a + 3*b*x))/12","B"
45,1,13,17,0.018558,"\text{Not used}","int(x*(a + b*x),x)","\frac{x^2\,\left(3\,a+2\,b\,x\right)}{6}","Not used",1,"(x^2*(3*a + 2*b*x))/6","B"
46,1,10,12,0.017084,"\text{Not used}","int(a + b*x,x)","\frac{b\,x^2}{2}+a\,x","Not used",1,"a*x + (b*x^2)/2","B"
47,1,8,8,0.017462,"\text{Not used}","int((a + b*x)/x,x)","b\,x+a\,\ln\left(x\right)","Not used",1,"b*x + a*log(x)","B"
48,1,11,11,0.032524,"\text{Not used}","int((a + b*x)/x^2,x)","b\,\ln\left(x\right)-\frac{a}{x}","Not used",1,"b*log(x) - a/x","B"
49,1,11,17,0.023242,"\text{Not used}","int((a + b*x)/x^3,x)","-\frac{a+2\,b\,x}{2\,x^2}","Not used",1,"-(a + 2*b*x)/(2*x^2)","B"
50,1,13,17,0.026094,"\text{Not used}","int((a + b*x)/x^4,x)","-\frac{2\,a+3\,b\,x}{6\,x^3}","Not used",1,"-(2*a + 3*b*x)/(6*x^3)","B"
51,1,13,17,0.026544,"\text{Not used}","int((a + b*x)/x^5,x)","-\frac{3\,a+4\,b\,x}{12\,x^4}","Not used",1,"-(3*a + 4*b*x)/(12*x^4)","B"
52,1,24,30,0.077303,"\text{Not used}","int(x^3*(a + b*x)^2,x)","\frac{a^2\,x^4}{4}+\frac{2\,a\,b\,x^5}{5}+\frac{b^2\,x^6}{6}","Not used",1,"(a^2*x^4)/4 + (b^2*x^6)/6 + (2*a*b*x^5)/5","B"
53,1,24,30,0.031407,"\text{Not used}","int(x^2*(a + b*x)^2,x)","\frac{a^2\,x^3}{3}+\frac{a\,b\,x^4}{2}+\frac{b^2\,x^5}{5}","Not used",1,"(a^2*x^3)/3 + (b^2*x^5)/5 + (a*b*x^4)/2","B"
54,1,24,30,0.030361,"\text{Not used}","int(x*(a + b*x)^2,x)","\frac{a^2\,x^2}{2}+\frac{2\,a\,b\,x^3}{3}+\frac{b^2\,x^4}{4}","Not used",1,"(a^2*x^2)/2 + (b^2*x^4)/4 + (2*a*b*x^3)/3","B"
55,1,20,14,0.029425,"\text{Not used}","int((a + b*x)^2,x)","a^2\,x+a\,b\,x^2+\frac{b^2\,x^3}{3}","Not used",1,"a^2*x + (b^2*x^3)/3 + a*b*x^2","B"
56,1,20,22,0.029388,"\text{Not used}","int((a + b*x)^2/x,x)","a^2\,\ln\left(x\right)+\frac{b^2\,x^2}{2}+2\,a\,b\,x","Not used",1,"a^2*log(x) + (b^2*x^2)/2 + 2*a*b*x","B"
57,1,20,20,0.065591,"\text{Not used}","int((a + b*x)^2/x^2,x)","b^2\,x-\frac{a^2}{x}+2\,a\,b\,\ln\left(x\right)","Not used",1,"b^2*x - a^2/x + 2*a*b*log(x)","B"
58,1,23,24,0.044244,"\text{Not used}","int((a + b*x)^2/x^3,x)","b^2\,\ln\left(x\right)-\frac{\frac{a^2}{2}+2\,b\,x\,a}{x^2}","Not used",1,"b^2*log(x) - (a^2/2 + 2*a*b*x)/x^2","B"
59,1,22,17,0.035210,"\text{Not used}","int((a + b*x)^2/x^4,x)","-\frac{\frac{a^2}{3}+a\,b\,x+b^2\,x^2}{x^3}","Not used",1,"-(a^2/3 + b^2*x^2 + a*b*x)/x^3","B"
60,1,24,30,0.034614,"\text{Not used}","int((a + b*x)^2/x^5,x)","-\frac{\frac{a^2}{4}+\frac{2\,a\,b\,x}{3}+\frac{b^2\,x^2}{2}}{x^4}","Not used",1,"-(a^2/4 + (b^2*x^2)/2 + (2*a*b*x)/3)/x^4","B"
61,1,24,30,0.034577,"\text{Not used}","int((a + b*x)^2/x^6,x)","-\frac{\frac{a^2}{5}+\frac{a\,b\,x}{2}+\frac{b^2\,x^2}{3}}{x^5}","Not used",1,"-(a^2/5 + (b^2*x^2)/3 + (a*b*x)/2)/x^5","B"
62,1,24,30,0.034399,"\text{Not used}","int((a + b*x)^2/x^7,x)","-\frac{\frac{a^2}{6}+\frac{2\,a\,b\,x}{5}+\frac{b^2\,x^2}{4}}{x^6}","Not used",1,"-(a^2/6 + (b^2*x^2)/4 + (2*a*b*x)/5)/x^6","B"
63,1,24,30,0.035535,"\text{Not used}","int((a + b*x)^2/x^8,x)","-\frac{\frac{a^2}{7}+\frac{a\,b\,x}{3}+\frac{b^2\,x^2}{5}}{x^7}","Not used",1,"-(a^2/7 + (b^2*x^2)/5 + (a*b*x)/3)/x^7","B"
64,1,35,43,0.042247,"\text{Not used}","int(x^4*(a + b*x)^3,x)","\frac{a^3\,x^5}{5}+\frac{a^2\,b\,x^6}{2}+\frac{3\,a\,b^2\,x^7}{7}+\frac{b^3\,x^8}{8}","Not used",1,"(a^3*x^5)/5 + (b^3*x^8)/8 + (a^2*b*x^6)/2 + (3*a*b^2*x^7)/7","B"
65,1,35,43,0.041073,"\text{Not used}","int(x^3*(a + b*x)^3,x)","\frac{a^3\,x^4}{4}+\frac{3\,a^2\,b\,x^5}{5}+\frac{a\,b^2\,x^6}{2}+\frac{b^3\,x^7}{7}","Not used",1,"(a^3*x^4)/4 + (b^3*x^7)/7 + (3*a^2*b*x^5)/5 + (a*b^2*x^6)/2","B"
66,1,35,43,0.039205,"\text{Not used}","int(x^2*(a + b*x)^3,x)","\frac{a^3\,x^3}{3}+\frac{3\,a^2\,b\,x^4}{4}+\frac{3\,a\,b^2\,x^5}{5}+\frac{b^3\,x^6}{6}","Not used",1,"(a^3*x^3)/3 + (b^3*x^6)/6 + (3*a^2*b*x^4)/4 + (3*a*b^2*x^5)/5","B"
67,1,34,30,0.040000,"\text{Not used}","int(x*(a + b*x)^3,x)","\frac{a^3\,x^2}{2}+a^2\,b\,x^3+\frac{3\,a\,b^2\,x^4}{4}+\frac{b^3\,x^5}{5}","Not used",1,"(a^3*x^2)/2 + (b^3*x^5)/5 + a^2*b*x^3 + (3*a*b^2*x^4)/4","B"
68,1,31,14,0.040816,"\text{Not used}","int((a + b*x)^3,x)","a^3\,x+\frac{3\,a^2\,b\,x^2}{2}+a\,b^2\,x^3+\frac{b^3\,x^4}{4}","Not used",1,"a^3*x + (b^3*x^4)/4 + (3*a^2*b*x^2)/2 + a*b^2*x^3","B"
69,1,31,35,0.034871,"\text{Not used}","int((a + b*x)^3/x,x)","a^3\,\ln\left(x\right)+\frac{b^3\,x^3}{3}+\frac{3\,a\,b^2\,x^2}{2}+3\,a^2\,b\,x","Not used",1,"a^3*log(x) + (b^3*x^3)/3 + (3*a*b^2*x^2)/2 + 3*a^2*b*x","B"
70,1,32,34,0.034632,"\text{Not used}","int((a + b*x)^3/x^2,x)","\frac{b^3\,x^2}{2}-\frac{a^3}{x}+3\,a^2\,b\,\ln\left(x\right)+3\,a\,b^2\,x","Not used",1,"(b^3*x^2)/2 - a^3/x + 3*a^2*b*log(x) + 3*a*b^2*x","B"
71,1,32,33,0.029879,"\text{Not used}","int((a + b*x)^3/x^3,x)","b^3\,x-\frac{\frac{a^3}{2}+3\,b\,x\,a^2}{x^2}+3\,a\,b^2\,\ln\left(x\right)","Not used",1,"b^3*x - (a^3/2 + 3*a^2*b*x)/x^2 + 3*a*b^2*log(x)","B"
72,1,34,37,0.070696,"\text{Not used}","int((a + b*x)^3/x^4,x)","b^3\,\ln\left(x\right)-\frac{\frac{a^3}{3}+\frac{3\,a^2\,b\,x}{2}+3\,a\,b^2\,x^2}{x^3}","Not used",1,"b^3*log(x) - (a^3/3 + 3*a*b^2*x^2 + (3*a^2*b*x)/2)/x^3","B"
73,1,33,17,0.026469,"\text{Not used}","int((a + b*x)^3/x^5,x)","-\frac{\frac{a^3}{4}+a^2\,b\,x+\frac{3\,a\,b^2\,x^2}{2}+b^3\,x^3}{x^4}","Not used",1,"-(a^3/4 + b^3*x^3 + (3*a*b^2*x^2)/2 + a^2*b*x)/x^4","B"
74,1,34,36,0.027067,"\text{Not used}","int((a + b*x)^3/x^6,x)","-\frac{\frac{a^3}{5}+\frac{3\,a^2\,b\,x}{4}+a\,b^2\,x^2+\frac{b^3\,x^3}{2}}{x^5}","Not used",1,"-(a^3/5 + (b^3*x^3)/2 + a*b^2*x^2 + (3*a^2*b*x)/4)/x^5","B"
75,1,35,43,0.025272,"\text{Not used}","int((a + b*x)^3/x^7,x)","-\frac{\frac{a^3}{6}+\frac{3\,a^2\,b\,x}{5}+\frac{3\,a\,b^2\,x^2}{4}+\frac{b^3\,x^3}{3}}{x^6}","Not used",1,"-(a^3/6 + (b^3*x^3)/3 + (3*a*b^2*x^2)/4 + (3*a^2*b*x)/5)/x^6","B"
76,1,35,43,0.026149,"\text{Not used}","int((a + b*x)^3/x^8,x)","-\frac{\frac{a^3}{7}+\frac{a^2\,b\,x}{2}+\frac{3\,a\,b^2\,x^2}{5}+\frac{b^3\,x^3}{4}}{x^7}","Not used",1,"-(a^3/7 + (b^3*x^3)/4 + (3*a*b^2*x^2)/5 + (a^2*b*x)/2)/x^7","B"
77,1,56,66,0.024502,"\text{Not used}","int(x^6*(a + b*x)^5,x)","\frac{a^5\,x^7}{7}+\frac{5\,a^4\,b\,x^8}{8}+\frac{10\,a^3\,b^2\,x^9}{9}+a^2\,b^3\,x^{10}+\frac{5\,a\,b^4\,x^{11}}{11}+\frac{b^5\,x^{12}}{12}","Not used",1,"(a^5*x^7)/7 + (b^5*x^12)/12 + (5*a^4*b*x^8)/8 + (5*a*b^4*x^11)/11 + (10*a^3*b^2*x^9)/9 + a^2*b^3*x^10","B"
78,1,57,69,0.023390,"\text{Not used}","int(x^5*(a + b*x)^5,x)","\frac{a^5\,x^6}{6}+\frac{5\,a^4\,b\,x^7}{7}+\frac{5\,a^3\,b^2\,x^8}{4}+\frac{10\,a^2\,b^3\,x^9}{9}+\frac{a\,b^4\,x^{10}}{2}+\frac{b^5\,x^{11}}{11}","Not used",1,"(a^5*x^6)/6 + (b^5*x^11)/11 + (5*a^4*b*x^7)/7 + (a*b^4*x^10)/2 + (5*a^3*b^2*x^8)/4 + (10*a^2*b^3*x^9)/9","B"
79,1,57,69,0.024035,"\text{Not used}","int(x^4*(a + b*x)^5,x)","\frac{a^5\,x^5}{5}+\frac{5\,a^4\,b\,x^6}{6}+\frac{10\,a^3\,b^2\,x^7}{7}+\frac{5\,a^2\,b^3\,x^8}{4}+\frac{5\,a\,b^4\,x^9}{9}+\frac{b^5\,x^{10}}{10}","Not used",1,"(a^5*x^5)/5 + (b^5*x^10)/10 + (5*a^4*b*x^6)/6 + (5*a*b^4*x^9)/9 + (10*a^3*b^2*x^7)/7 + (5*a^2*b^3*x^8)/4","B"
80,1,56,64,0.023525,"\text{Not used}","int(x^3*(a + b*x)^5,x)","\frac{a^5\,x^4}{4}+a^4\,b\,x^5+\frac{5\,a^3\,b^2\,x^6}{3}+\frac{10\,a^2\,b^3\,x^7}{7}+\frac{5\,a\,b^4\,x^8}{8}+\frac{b^5\,x^9}{9}","Not used",1,"(a^5*x^4)/4 + (b^5*x^9)/9 + a^4*b*x^5 + (5*a*b^4*x^8)/8 + (5*a^3*b^2*x^6)/3 + (10*a^2*b^3*x^7)/7","B"
81,1,57,47,0.023564,"\text{Not used}","int(x^2*(a + b*x)^5,x)","\frac{a^5\,x^3}{3}+\frac{5\,a^4\,b\,x^4}{4}+2\,a^3\,b^2\,x^5+\frac{5\,a^2\,b^3\,x^6}{3}+\frac{5\,a\,b^4\,x^7}{7}+\frac{b^5\,x^8}{8}","Not used",1,"(a^5*x^3)/3 + (b^5*x^8)/8 + (5*a^4*b*x^4)/4 + (5*a*b^4*x^7)/7 + 2*a^3*b^2*x^5 + (5*a^2*b^3*x^6)/3","B"
82,1,57,30,0.023002,"\text{Not used}","int(x*(a + b*x)^5,x)","\frac{a^5\,x^2}{2}+\frac{5\,a^4\,b\,x^3}{3}+\frac{5\,a^3\,b^2\,x^4}{2}+2\,a^2\,b^3\,x^5+\frac{5\,a\,b^4\,x^6}{6}+\frac{b^5\,x^7}{7}","Not used",1,"(a^5*x^2)/2 + (b^5*x^7)/7 + (5*a^4*b*x^3)/3 + (5*a*b^4*x^6)/6 + (5*a^3*b^2*x^4)/2 + 2*a^2*b^3*x^5","B"
83,1,53,14,0.024332,"\text{Not used}","int((a + b*x)^5,x)","a^5\,x+\frac{5\,a^4\,b\,x^2}{2}+\frac{10\,a^3\,b^2\,x^3}{3}+\frac{5\,a^2\,b^3\,x^4}{2}+a\,b^4\,x^5+\frac{b^5\,x^6}{6}","Not used",1,"a^5*x + (b^5*x^6)/6 + (5*a^4*b*x^2)/2 + a*b^4*x^5 + (10*a^3*b^2*x^3)/3 + (5*a^2*b^3*x^4)/2","B"
84,1,53,59,0.028578,"\text{Not used}","int((a + b*x)^5/x,x)","a^5\,\ln\left(x\right)+\frac{b^5\,x^5}{5}+\frac{5\,a\,b^4\,x^4}{4}+5\,a^3\,b^2\,x^2+\frac{10\,a^2\,b^3\,x^3}{3}+5\,a^4\,b\,x","Not used",1,"a^5*log(x) + (b^5*x^5)/5 + (5*a*b^4*x^4)/4 + 5*a^3*b^2*x^2 + (10*a^2*b^3*x^3)/3 + 5*a^4*b*x","B"
85,1,54,58,0.029310,"\text{Not used}","int((a + b*x)^5/x^2,x)","\frac{b^5\,x^4}{4}-\frac{a^5}{x}+10\,a^3\,b^2\,x+\frac{5\,a\,b^4\,x^3}{3}+5\,a^4\,b\,\ln\left(x\right)+5\,a^2\,b^3\,x^2","Not used",1,"(b^5*x^4)/4 - a^5/x + 10*a^3*b^2*x + (5*a*b^4*x^3)/3 + 5*a^4*b*log(x) + 5*a^2*b^3*x^2","B"
86,1,55,60,0.028801,"\text{Not used}","int((a + b*x)^5/x^3,x)","\frac{b^5\,x^3}{3}-\frac{\frac{a^5}{2}+5\,b\,x\,a^4}{x^2}+10\,a^2\,b^3\,x+\frac{5\,a\,b^4\,x^2}{2}+10\,a^3\,b^2\,\ln\left(x\right)","Not used",1,"(b^5*x^3)/3 - (a^5/2 + 5*a^4*b*x)/x^2 + 10*a^2*b^3*x + (5*a*b^4*x^2)/2 + 10*a^3*b^2*log(x)","B"
87,1,55,60,0.039045,"\text{Not used}","int((a + b*x)^5/x^4,x)","\frac{b^5\,x^2}{2}-\frac{\frac{a^5}{3}+\frac{5\,a^4\,b\,x}{2}+10\,a^3\,b^2\,x^2}{x^3}+10\,a^2\,b^3\,\ln\left(x\right)+5\,a\,b^4\,x","Not used",1,"(b^5*x^2)/2 - (a^5/3 + 10*a^3*b^2*x^2 + (5*a^4*b*x)/2)/x^3 + 10*a^2*b^3*log(x) + 5*a*b^4*x","B"
88,1,54,57,0.077315,"\text{Not used}","int((a + b*x)^5/x^5,x)","b^5\,x-\frac{\frac{a^5}{4}+\frac{5\,a^4\,b\,x}{3}+5\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3}{x^4}+5\,a\,b^4\,\ln\left(x\right)","Not used",1,"b^5*x - (a^5/4 + 5*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + (5*a^4*b*x)/3)/x^4 + 5*a*b^4*log(x)","B"
89,1,56,61,0.040524,"\text{Not used}","int((a + b*x)^5/x^6,x)","b^5\,\ln\left(x\right)-\frac{\frac{a^5}{5}+\frac{5\,a^4\,b\,x}{4}+\frac{10\,a^3\,b^2\,x^2}{3}+5\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4}{x^5}","Not used",1,"b^5*log(x) - (a^5/5 + 5*a*b^4*x^4 + (10*a^3*b^2*x^2)/3 + 5*a^2*b^3*x^3 + (5*a^4*b*x)/4)/x^5","B"
90,1,55,17,0.038580,"\text{Not used}","int((a + b*x)^5/x^7,x)","-\frac{\frac{a^5}{6}+a^4\,b\,x+\frac{5\,a^3\,b^2\,x^2}{2}+\frac{10\,a^2\,b^3\,x^3}{3}+\frac{5\,a\,b^4\,x^4}{2}+b^5\,x^5}{x^6}","Not used",1,"-(a^5/6 + b^5*x^5 + (5*a*b^4*x^4)/2 + (5*a^3*b^2*x^2)/2 + (10*a^2*b^3*x^3)/3 + a^4*b*x)/x^6","B"
91,1,57,36,0.072855,"\text{Not used}","int((a + b*x)^5/x^8,x)","-\frac{\frac{a^5}{7}+\frac{5\,a^4\,b\,x}{6}+2\,a^3\,b^2\,x^2+\frac{5\,a^2\,b^3\,x^3}{2}+\frac{5\,a\,b^4\,x^4}{3}+\frac{b^5\,x^5}{2}}{x^7}","Not used",1,"-(a^5/7 + (b^5*x^5)/2 + (5*a*b^4*x^4)/3 + 2*a^3*b^2*x^2 + (5*a^2*b^3*x^3)/2 + (5*a^4*b*x)/6)/x^7","B"
92,1,57,56,0.039414,"\text{Not used}","int((a + b*x)^5/x^9,x)","-\frac{\frac{a^5}{8}+\frac{5\,a^4\,b\,x}{7}+\frac{5\,a^3\,b^2\,x^2}{3}+2\,a^2\,b^3\,x^3+\frac{5\,a\,b^4\,x^4}{4}+\frac{b^5\,x^5}{3}}{x^8}","Not used",1,"-(a^5/8 + (b^5*x^5)/3 + (5*a*b^4*x^4)/4 + (5*a^3*b^2*x^2)/3 + 2*a^2*b^3*x^3 + (5*a^4*b*x)/7)/x^8","B"
93,1,56,67,0.084397,"\text{Not used}","int((a + b*x)^5/x^10,x)","-\frac{\frac{a^5}{9}+\frac{5\,a^4\,b\,x}{8}+\frac{10\,a^3\,b^2\,x^2}{7}+\frac{5\,a^2\,b^3\,x^3}{3}+a\,b^4\,x^4+\frac{b^5\,x^5}{4}}{x^9}","Not used",1,"-(a^5/9 + (b^5*x^5)/4 + a*b^4*x^4 + (10*a^3*b^2*x^2)/7 + (5*a^2*b^3*x^3)/3 + (5*a^4*b*x)/8)/x^9","B"
94,1,57,69,0.081502,"\text{Not used}","int((a + b*x)^5/x^11,x)","-\frac{\frac{a^5}{10}+\frac{5\,a^4\,b\,x}{9}+\frac{5\,a^3\,b^2\,x^2}{4}+\frac{10\,a^2\,b^3\,x^3}{7}+\frac{5\,a\,b^4\,x^4}{6}+\frac{b^5\,x^5}{5}}{x^{10}}","Not used",1,"-(a^5/10 + (b^5*x^5)/5 + (5*a*b^4*x^4)/6 + (5*a^3*b^2*x^2)/4 + (10*a^2*b^3*x^3)/7 + (5*a^4*b*x)/9)/x^10","B"
95,1,57,69,0.041958,"\text{Not used}","int((a + b*x)^5/x^12,x)","-\frac{\frac{a^5}{11}+\frac{a^4\,b\,x}{2}+\frac{10\,a^3\,b^2\,x^2}{9}+\frac{5\,a^2\,b^3\,x^3}{4}+\frac{5\,a\,b^4\,x^4}{7}+\frac{b^5\,x^5}{6}}{x^{11}}","Not used",1,"-(a^5/11 + (b^5*x^5)/6 + (5*a*b^4*x^4)/7 + (10*a^3*b^2*x^2)/9 + (5*a^2*b^3*x^3)/4 + (a^4*b*x)/2)/x^11","B"
96,1,56,67,0.039671,"\text{Not used}","int((a + b*x)^5/x^13,x)","-\frac{\frac{a^5}{12}+\frac{5\,a^4\,b\,x}{11}+a^3\,b^2\,x^2+\frac{10\,a^2\,b^3\,x^3}{9}+\frac{5\,a\,b^4\,x^4}{8}+\frac{b^5\,x^5}{7}}{x^{12}}","Not used",1,"-(a^5/12 + (b^5*x^5)/7 + (5*a*b^4*x^4)/8 + a^3*b^2*x^2 + (10*a^2*b^3*x^3)/9 + (5*a^4*b*x)/11)/x^12","B"
97,1,56,67,0.038080,"\text{Not used}","int((a + b*x)^5/x^14,x)","-\frac{\frac{a^5}{13}+\frac{5\,a^4\,b\,x}{12}+\frac{10\,a^3\,b^2\,x^2}{11}+a^2\,b^3\,x^3+\frac{5\,a\,b^4\,x^4}{9}+\frac{b^5\,x^5}{8}}{x^{13}}","Not used",1,"-(a^5/13 + (b^5*x^5)/8 + (5*a*b^4*x^4)/9 + (10*a^3*b^2*x^2)/11 + a^2*b^3*x^3 + (5*a^4*b*x)/12)/x^13","B"
98,1,79,95,0.152895,"\text{Not used}","int(x^8*(a + b*x)^7,x)","\frac{a^7\,x^9}{9}+\frac{7\,a^6\,b\,x^{10}}{10}+\frac{21\,a^5\,b^2\,x^{11}}{11}+\frac{35\,a^4\,b^3\,x^{12}}{12}+\frac{35\,a^3\,b^4\,x^{13}}{13}+\frac{3\,a^2\,b^5\,x^{14}}{2}+\frac{7\,a\,b^6\,x^{15}}{15}+\frac{b^7\,x^{16}}{16}","Not used",1,"(a^7*x^9)/9 + (b^7*x^16)/16 + (7*a^6*b*x^10)/10 + (7*a*b^6*x^15)/15 + (21*a^5*b^2*x^11)/11 + (35*a^4*b^3*x^12)/12 + (35*a^3*b^4*x^13)/13 + (3*a^2*b^5*x^14)/2","B"
99,1,79,95,0.074436,"\text{Not used}","int(x^7*(a + b*x)^7,x)","\frac{a^7\,x^8}{8}+\frac{7\,a^6\,b\,x^9}{9}+\frac{21\,a^5\,b^2\,x^{10}}{10}+\frac{35\,a^4\,b^3\,x^{11}}{11}+\frac{35\,a^3\,b^4\,x^{12}}{12}+\frac{21\,a^2\,b^5\,x^{13}}{13}+\frac{a\,b^6\,x^{14}}{2}+\frac{b^7\,x^{15}}{15}","Not used",1,"(a^7*x^8)/8 + (b^7*x^15)/15 + (7*a^6*b*x^9)/9 + (a*b^6*x^14)/2 + (21*a^5*b^2*x^10)/10 + (35*a^4*b^3*x^11)/11 + (35*a^3*b^4*x^12)/12 + (21*a^2*b^5*x^13)/13","B"
100,1,79,95,0.067752,"\text{Not used}","int(x^6*(a + b*x)^7,x)","\frac{a^7\,x^7}{7}+\frac{7\,a^6\,b\,x^8}{8}+\frac{7\,a^5\,b^2\,x^9}{3}+\frac{7\,a^4\,b^3\,x^{10}}{2}+\frac{35\,a^3\,b^4\,x^{11}}{11}+\frac{7\,a^2\,b^5\,x^{12}}{4}+\frac{7\,a\,b^6\,x^{13}}{13}+\frac{b^7\,x^{14}}{14}","Not used",1,"(a^7*x^7)/7 + (b^7*x^14)/14 + (7*a^6*b*x^8)/8 + (7*a*b^6*x^13)/13 + (7*a^5*b^2*x^9)/3 + (7*a^4*b^3*x^10)/2 + (35*a^3*b^4*x^11)/11 + (7*a^2*b^5*x^12)/4","B"
101,1,78,96,0.060314,"\text{Not used}","int(x^5*(a + b*x)^7,x)","\frac{a^7\,x^6}{6}+a^6\,b\,x^7+\frac{21\,a^5\,b^2\,x^8}{8}+\frac{35\,a^4\,b^3\,x^9}{9}+\frac{7\,a^3\,b^4\,x^{10}}{2}+\frac{21\,a^2\,b^5\,x^{11}}{11}+\frac{7\,a\,b^6\,x^{12}}{12}+\frac{b^7\,x^{13}}{13}","Not used",1,"(a^7*x^6)/6 + (b^7*x^13)/13 + a^6*b*x^7 + (7*a*b^6*x^12)/12 + (21*a^5*b^2*x^8)/8 + (35*a^4*b^3*x^9)/9 + (7*a^3*b^4*x^10)/2 + (21*a^2*b^5*x^11)/11","B"
102,1,79,81,0.062007,"\text{Not used}","int(x^4*(a + b*x)^7,x)","\frac{a^7\,x^5}{5}+\frac{7\,a^6\,b\,x^6}{6}+3\,a^5\,b^2\,x^7+\frac{35\,a^4\,b^3\,x^8}{8}+\frac{35\,a^3\,b^4\,x^9}{9}+\frac{21\,a^2\,b^5\,x^{10}}{10}+\frac{7\,a\,b^6\,x^{11}}{11}+\frac{b^7\,x^{12}}{12}","Not used",1,"(a^7*x^5)/5 + (b^7*x^12)/12 + (7*a^6*b*x^6)/6 + (7*a*b^6*x^11)/11 + 3*a^5*b^2*x^7 + (35*a^4*b^3*x^8)/8 + (35*a^3*b^4*x^9)/9 + (21*a^2*b^5*x^10)/10","B"
103,1,79,64,0.103610,"\text{Not used}","int(x^3*(a + b*x)^7,x)","\frac{a^7\,x^4}{4}+\frac{7\,a^6\,b\,x^5}{5}+\frac{7\,a^5\,b^2\,x^6}{2}+5\,a^4\,b^3\,x^7+\frac{35\,a^3\,b^4\,x^8}{8}+\frac{7\,a^2\,b^5\,x^9}{3}+\frac{7\,a\,b^6\,x^{10}}{10}+\frac{b^7\,x^{11}}{11}","Not used",1,"(a^7*x^4)/4 + (b^7*x^11)/11 + (7*a^6*b*x^5)/5 + (7*a*b^6*x^10)/10 + (7*a^5*b^2*x^6)/2 + 5*a^4*b^3*x^7 + (35*a^3*b^4*x^8)/8 + (7*a^2*b^5*x^9)/3","B"
104,1,31,47,0.121404,"\text{Not used}","int(x^2*(a + b*x)^7,x)","\frac{{\left(a+b\,x\right)}^8\,\left(8\,a^2-64\,a\,b\,x+288\,b^2\,x^2\right)}{2880\,b^3}","Not used",1,"((a + b*x)^8*(8*a^2 + 288*b^2*x^2 - 64*a*b*x))/(2880*b^3)","B"
105,1,25,30,0.115032,"\text{Not used}","int(x*(a + b*x)^7,x)","-\frac{2\,\left(\frac{a\,{\left(a+b\,x\right)}^8}{16}-\frac{{\left(a+b\,x\right)}^9}{18}\right)}{b^2}","Not used",1,"-(2*((a*(a + b*x)^8)/16 - (a + b*x)^9/18))/b^2","B"
106,1,75,14,0.059656,"\text{Not used}","int((a + b*x)^7,x)","a^7\,x+\frac{7\,a^6\,b\,x^2}{2}+7\,a^5\,b^2\,x^3+\frac{35\,a^4\,b^3\,x^4}{4}+7\,a^3\,b^4\,x^5+\frac{7\,a^2\,b^5\,x^6}{2}+a\,b^6\,x^7+\frac{b^7\,x^8}{8}","Not used",1,"a^7*x + (b^7*x^8)/8 + (7*a^6*b*x^2)/2 + a*b^6*x^7 + 7*a^5*b^2*x^3 + (35*a^4*b^3*x^4)/4 + 7*a^3*b^4*x^5 + (7*a^2*b^5*x^6)/2","B"
107,1,75,87,0.071941,"\text{Not used}","int((a + b*x)^7/x,x)","a^7\,\ln\left(x\right)+\frac{b^7\,x^7}{7}+\frac{7\,a\,b^6\,x^6}{6}+\frac{21\,a^5\,b^2\,x^2}{2}+\frac{35\,a^4\,b^3\,x^3}{3}+\frac{35\,a^3\,b^4\,x^4}{4}+\frac{21\,a^2\,b^5\,x^5}{5}+7\,a^6\,b\,x","Not used",1,"a^7*log(x) + (b^7*x^7)/7 + (7*a*b^6*x^6)/6 + (21*a^5*b^2*x^2)/2 + (35*a^4*b^3*x^3)/3 + (35*a^3*b^4*x^4)/4 + (21*a^2*b^5*x^5)/5 + 7*a^6*b*x","B"
108,1,76,86,0.054509,"\text{Not used}","int((a + b*x)^7/x^2,x)","\frac{b^7\,x^6}{6}-\frac{a^7}{x}+21\,a^5\,b^2\,x+\frac{7\,a\,b^6\,x^5}{5}+7\,a^6\,b\,\ln\left(x\right)+\frac{35\,a^4\,b^3\,x^2}{2}+\frac{35\,a^3\,b^4\,x^3}{3}+\frac{21\,a^2\,b^5\,x^4}{4}","Not used",1,"(b^7*x^6)/6 - a^7/x + 21*a^5*b^2*x + (7*a*b^6*x^5)/5 + 7*a^6*b*log(x) + (35*a^4*b^3*x^2)/2 + (35*a^3*b^4*x^3)/3 + (21*a^2*b^5*x^4)/4","B"
109,1,77,84,0.050658,"\text{Not used}","int((a + b*x)^7/x^3,x)","\frac{b^7\,x^5}{5}-\frac{\frac{a^7}{2}+7\,b\,x\,a^6}{x^2}+35\,a^4\,b^3\,x+\frac{7\,a\,b^6\,x^4}{4}+\frac{35\,a^3\,b^4\,x^2}{2}+7\,a^2\,b^5\,x^3+21\,a^5\,b^2\,\ln\left(x\right)","Not used",1,"(b^7*x^5)/5 - (a^7/2 + 7*a^6*b*x)/x^2 + 35*a^4*b^3*x + (7*a*b^6*x^4)/4 + (35*a^3*b^4*x^2)/2 + 7*a^2*b^5*x^3 + 21*a^5*b^2*log(x)","B"
110,1,77,86,0.050509,"\text{Not used}","int((a + b*x)^7/x^4,x)","\frac{b^7\,x^4}{4}-\frac{\frac{a^7}{3}+\frac{7\,a^6\,b\,x}{2}+21\,a^5\,b^2\,x^2}{x^3}+35\,a^3\,b^4\,x+\frac{7\,a\,b^6\,x^3}{3}+\frac{21\,a^2\,b^5\,x^2}{2}+35\,a^4\,b^3\,\ln\left(x\right)","Not used",1,"(b^7*x^4)/4 - (a^7/3 + 21*a^5*b^2*x^2 + (7*a^6*b*x)/2)/x^3 + 35*a^3*b^4*x + (7*a*b^6*x^3)/3 + (21*a^2*b^5*x^2)/2 + 35*a^4*b^3*log(x)","B"
111,1,77,86,0.089553,"\text{Not used}","int((a + b*x)^7/x^5,x)","\frac{b^7\,x^3}{3}-\frac{\frac{a^7}{4}+\frac{7\,a^6\,b\,x}{3}+\frac{21\,a^5\,b^2\,x^2}{2}+35\,a^4\,b^3\,x^3}{x^4}+21\,a^2\,b^5\,x+\frac{7\,a\,b^6\,x^2}{2}+35\,a^3\,b^4\,\ln\left(x\right)","Not used",1,"(b^7*x^3)/3 - (a^7/4 + (21*a^5*b^2*x^2)/2 + 35*a^4*b^3*x^3 + (7*a^6*b*x)/3)/x^4 + 21*a^2*b^5*x + (7*a*b^6*x^2)/2 + 35*a^3*b^4*log(x)","B"
112,1,77,84,0.105918,"\text{Not used}","int((a + b*x)^7/x^6,x)","\frac{b^7\,x^2}{2}-\frac{\frac{a^7}{5}+\frac{7\,a^6\,b\,x}{4}+7\,a^5\,b^2\,x^2+\frac{35\,a^4\,b^3\,x^3}{2}+35\,a^3\,b^4\,x^4}{x^5}+21\,a^2\,b^5\,\ln\left(x\right)+7\,a\,b^6\,x","Not used",1,"(b^7*x^2)/2 - (a^7/5 + 7*a^5*b^2*x^2 + (35*a^4*b^3*x^3)/2 + 35*a^3*b^4*x^4 + (7*a^6*b*x)/4)/x^5 + 21*a^2*b^5*log(x) + 7*a*b^6*x","B"
113,1,81,85,0.110104,"\text{Not used}","int((a + b*x)^7/x^7,x)","-\frac{10\,a^7-60\,b^7\,x^7+315\,a^5\,b^2\,x^2+700\,a^4\,b^3\,x^3+1050\,a^3\,b^4\,x^4+1260\,a^2\,b^5\,x^5+84\,a^6\,b\,x-420\,a\,b^6\,x^6\,\ln\left(x\right)}{60\,x^6}","Not used",1,"-(10*a^7 - 60*b^7*x^7 + 315*a^5*b^2*x^2 + 700*a^4*b^3*x^3 + 1050*a^3*b^4*x^4 + 1260*a^2*b^5*x^5 + 84*a^6*b*x - 420*a*b^6*x^6*log(x))/(60*x^6)","B"
114,1,78,89,0.068315,"\text{Not used}","int((a + b*x)^7/x^8,x)","b^7\,\ln\left(x\right)-\frac{\frac{a^7}{7}+\frac{7\,a^6\,b\,x}{6}+\frac{21\,a^5\,b^2\,x^2}{5}+\frac{35\,a^4\,b^3\,x^3}{4}+\frac{35\,a^3\,b^4\,x^4}{3}+\frac{21\,a^2\,b^5\,x^5}{2}+7\,a\,b^6\,x^6}{x^7}","Not used",1,"b^7*log(x) - (a^7/7 + 7*a*b^6*x^6 + (21*a^5*b^2*x^2)/5 + (35*a^4*b^3*x^3)/4 + (35*a^3*b^4*x^4)/3 + (21*a^2*b^5*x^5)/2 + (7*a^6*b*x)/6)/x^7","B"
115,1,77,17,0.067019,"\text{Not used}","int((a + b*x)^7/x^9,x)","-\frac{\frac{a^7}{8}+a^6\,b\,x+\frac{7\,a^5\,b^2\,x^2}{2}+7\,a^4\,b^3\,x^3+\frac{35\,a^3\,b^4\,x^4}{4}+7\,a^2\,b^5\,x^5+\frac{7\,a\,b^6\,x^6}{2}+b^7\,x^7}{x^8}","Not used",1,"-(a^7/8 + b^7*x^7 + (7*a*b^6*x^6)/2 + (7*a^5*b^2*x^2)/2 + 7*a^4*b^3*x^3 + (35*a^3*b^4*x^4)/4 + 7*a^2*b^5*x^5 + a^6*b*x)/x^8","B"
116,1,23,36,0.092699,"\text{Not used}","int((a + b*x)^7/x^10,x)","-\frac{\left(8\,a-b\,x\right)\,{\left(a+b\,x\right)}^8}{72\,a^2\,x^9}","Not used",1,"-((8*a - b*x)*(a + b*x)^8)/(72*a^2*x^9)","B"
117,1,79,56,0.109053,"\text{Not used}","int((a + b*x)^7/x^11,x)","-\frac{\frac{a^7}{10}+\frac{7\,a^6\,b\,x}{9}+\frac{21\,a^5\,b^2\,x^2}{8}+5\,a^4\,b^3\,x^3+\frac{35\,a^3\,b^4\,x^4}{6}+\frac{21\,a^2\,b^5\,x^5}{5}+\frac{7\,a\,b^6\,x^6}{4}+\frac{b^7\,x^7}{3}}{x^{10}}","Not used",1,"-(a^7/10 + (b^7*x^7)/3 + (7*a*b^6*x^6)/4 + (21*a^5*b^2*x^2)/8 + 5*a^4*b^3*x^3 + (35*a^3*b^4*x^4)/6 + (21*a^2*b^5*x^5)/5 + (7*a^6*b*x)/9)/x^10","B"
118,1,79,76,0.105801,"\text{Not used}","int((a + b*x)^7/x^12,x)","-\frac{\frac{a^7}{11}+\frac{7\,a^6\,b\,x}{10}+\frac{7\,a^5\,b^2\,x^2}{3}+\frac{35\,a^4\,b^3\,x^3}{8}+5\,a^3\,b^4\,x^4+\frac{7\,a^2\,b^5\,x^5}{2}+\frac{7\,a\,b^6\,x^6}{5}+\frac{b^7\,x^7}{4}}{x^{11}}","Not used",1,"-(a^7/11 + (b^7*x^7)/4 + (7*a*b^6*x^6)/5 + (7*a^5*b^2*x^2)/3 + (35*a^4*b^3*x^3)/8 + 5*a^3*b^4*x^4 + (7*a^2*b^5*x^5)/2 + (7*a^6*b*x)/10)/x^11","B"
119,1,79,96,0.066395,"\text{Not used}","int((a + b*x)^7/x^13,x)","-\frac{\frac{a^7}{12}+\frac{7\,a^6\,b\,x}{11}+\frac{21\,a^5\,b^2\,x^2}{10}+\frac{35\,a^4\,b^3\,x^3}{9}+\frac{35\,a^3\,b^4\,x^4}{8}+3\,a^2\,b^5\,x^5+\frac{7\,a\,b^6\,x^6}{6}+\frac{b^7\,x^7}{5}}{x^{12}}","Not used",1,"-(a^7/12 + (b^7*x^7)/5 + (7*a*b^6*x^6)/6 + (21*a^5*b^2*x^2)/10 + (35*a^4*b^3*x^3)/9 + (35*a^3*b^4*x^4)/8 + 3*a^2*b^5*x^5 + (7*a^6*b*x)/11)/x^12","B"
120,1,78,93,0.066396,"\text{Not used}","int((a + b*x)^7/x^14,x)","-\frac{\frac{a^7}{13}+\frac{7\,a^6\,b\,x}{12}+\frac{21\,a^5\,b^2\,x^2}{11}+\frac{7\,a^4\,b^3\,x^3}{2}+\frac{35\,a^3\,b^4\,x^4}{9}+\frac{21\,a^2\,b^5\,x^5}{8}+a\,b^6\,x^6+\frac{b^7\,x^7}{6}}{x^{13}}","Not used",1,"-(a^7/13 + (b^7*x^7)/6 + a*b^6*x^6 + (21*a^5*b^2*x^2)/11 + (7*a^4*b^3*x^3)/2 + (35*a^3*b^4*x^4)/9 + (21*a^2*b^5*x^5)/8 + (7*a^6*b*x)/12)/x^13","B"
121,1,79,95,0.070357,"\text{Not used}","int((a + b*x)^7/x^15,x)","-\frac{\frac{a^7}{14}+\frac{7\,a^6\,b\,x}{13}+\frac{7\,a^5\,b^2\,x^2}{4}+\frac{35\,a^4\,b^3\,x^3}{11}+\frac{7\,a^3\,b^4\,x^4}{2}+\frac{7\,a^2\,b^5\,x^5}{3}+\frac{7\,a\,b^6\,x^6}{8}+\frac{b^7\,x^7}{7}}{x^{14}}","Not used",1,"-(a^7/14 + (b^7*x^7)/7 + (7*a*b^6*x^6)/8 + (7*a^5*b^2*x^2)/4 + (35*a^4*b^3*x^3)/11 + (7*a^3*b^4*x^4)/2 + (7*a^2*b^5*x^5)/3 + (7*a^6*b*x)/13)/x^14","B"
122,1,79,95,0.109583,"\text{Not used}","int((a + b*x)^7/x^16,x)","-\frac{\frac{a^7}{15}+\frac{a^6\,b\,x}{2}+\frac{21\,a^5\,b^2\,x^2}{13}+\frac{35\,a^4\,b^3\,x^3}{12}+\frac{35\,a^3\,b^4\,x^4}{11}+\frac{21\,a^2\,b^5\,x^5}{10}+\frac{7\,a\,b^6\,x^6}{9}+\frac{b^7\,x^7}{8}}{x^{15}}","Not used",1,"-(a^7/15 + (b^7*x^7)/8 + (7*a*b^6*x^6)/9 + (21*a^5*b^2*x^2)/13 + (35*a^4*b^3*x^3)/12 + (35*a^3*b^4*x^4)/11 + (21*a^2*b^5*x^5)/10 + (a^6*b*x)/2)/x^15","B"
123,1,112,132,0.150044,"\text{Not used}","int(x^11*(a + b*x)^10,x)","\frac{a^{10}\,x^{12}}{12}+\frac{10\,a^9\,b\,x^{13}}{13}+\frac{45\,a^8\,b^2\,x^{14}}{14}+8\,a^7\,b^3\,x^{15}+\frac{105\,a^6\,b^4\,x^{16}}{8}+\frac{252\,a^5\,b^5\,x^{17}}{17}+\frac{35\,a^4\,b^6\,x^{18}}{3}+\frac{120\,a^3\,b^7\,x^{19}}{19}+\frac{9\,a^2\,b^8\,x^{20}}{4}+\frac{10\,a\,b^9\,x^{21}}{21}+\frac{b^{10}\,x^{22}}{22}","Not used",1,"(a^10*x^12)/12 + (b^10*x^22)/22 + (10*a^9*b*x^13)/13 + (10*a*b^9*x^21)/21 + (45*a^8*b^2*x^14)/14 + 8*a^7*b^3*x^15 + (105*a^6*b^4*x^16)/8 + (252*a^5*b^5*x^17)/17 + (35*a^4*b^6*x^18)/3 + (120*a^3*b^7*x^19)/19 + (9*a^2*b^8*x^20)/4","B"
124,1,112,132,0.083577,"\text{Not used}","int(x^10*(a + b*x)^10,x)","\frac{a^{10}\,x^{11}}{11}+\frac{5\,a^9\,b\,x^{12}}{6}+\frac{45\,a^8\,b^2\,x^{13}}{13}+\frac{60\,a^7\,b^3\,x^{14}}{7}+14\,a^6\,b^4\,x^{15}+\frac{63\,a^5\,b^5\,x^{16}}{4}+\frac{210\,a^4\,b^6\,x^{17}}{17}+\frac{20\,a^3\,b^7\,x^{18}}{3}+\frac{45\,a^2\,b^8\,x^{19}}{19}+\frac{a\,b^9\,x^{20}}{2}+\frac{b^{10}\,x^{21}}{21}","Not used",1,"(a^10*x^11)/11 + (b^10*x^21)/21 + (5*a^9*b*x^12)/6 + (a*b^9*x^20)/2 + (45*a^8*b^2*x^13)/13 + (60*a^7*b^3*x^14)/7 + 14*a^6*b^4*x^15 + (63*a^5*b^5*x^16)/4 + (210*a^4*b^6*x^17)/17 + (20*a^3*b^7*x^18)/3 + (45*a^2*b^8*x^19)/19","B"
125,1,112,132,0.124972,"\text{Not used}","int(x^9*(a + b*x)^10,x)","\frac{a^{10}\,x^{10}}{10}+\frac{10\,a^9\,b\,x^{11}}{11}+\frac{15\,a^8\,b^2\,x^{12}}{4}+\frac{120\,a^7\,b^3\,x^{13}}{13}+15\,a^6\,b^4\,x^{14}+\frac{84\,a^5\,b^5\,x^{15}}{5}+\frac{105\,a^4\,b^6\,x^{16}}{8}+\frac{120\,a^3\,b^7\,x^{17}}{17}+\frac{5\,a^2\,b^8\,x^{18}}{2}+\frac{10\,a\,b^9\,x^{19}}{19}+\frac{b^{10}\,x^{20}}{20}","Not used",1,"(a^10*x^10)/10 + (b^10*x^20)/20 + (10*a^9*b*x^11)/11 + (10*a*b^9*x^19)/19 + (15*a^8*b^2*x^12)/4 + (120*a^7*b^3*x^13)/13 + 15*a^6*b^4*x^14 + (84*a^5*b^5*x^15)/5 + (105*a^4*b^6*x^16)/8 + (120*a^3*b^7*x^17)/17 + (5*a^2*b^8*x^18)/2","B"
126,1,111,147,0.087141,"\text{Not used}","int(x^8*(a + b*x)^10,x)","\frac{a^{10}\,x^9}{9}+a^9\,b\,x^{10}+\frac{45\,a^8\,b^2\,x^{11}}{11}+10\,a^7\,b^3\,x^{12}+\frac{210\,a^6\,b^4\,x^{13}}{13}+18\,a^5\,b^5\,x^{14}+14\,a^4\,b^6\,x^{15}+\frac{15\,a^3\,b^7\,x^{16}}{2}+\frac{45\,a^2\,b^8\,x^{17}}{17}+\frac{5\,a\,b^9\,x^{18}}{9}+\frac{b^{10}\,x^{19}}{19}","Not used",1,"(a^10*x^9)/9 + (b^10*x^19)/19 + a^9*b*x^10 + (5*a*b^9*x^18)/9 + (45*a^8*b^2*x^11)/11 + 10*a^7*b^3*x^12 + (210*a^6*b^4*x^13)/13 + 18*a^5*b^5*x^14 + 14*a^4*b^6*x^15 + (15*a^3*b^7*x^16)/2 + (45*a^2*b^8*x^17)/17","B"
127,1,112,132,0.082429,"\text{Not used}","int(x^7*(a + b*x)^10,x)","\frac{a^{10}\,x^8}{8}+\frac{10\,a^9\,b\,x^9}{9}+\frac{9\,a^8\,b^2\,x^{10}}{2}+\frac{120\,a^7\,b^3\,x^{11}}{11}+\frac{35\,a^6\,b^4\,x^{12}}{2}+\frac{252\,a^5\,b^5\,x^{13}}{13}+15\,a^4\,b^6\,x^{14}+8\,a^3\,b^7\,x^{15}+\frac{45\,a^2\,b^8\,x^{16}}{16}+\frac{10\,a\,b^9\,x^{17}}{17}+\frac{b^{10}\,x^{18}}{18}","Not used",1,"(a^10*x^8)/8 + (b^10*x^18)/18 + (10*a^9*b*x^9)/9 + (10*a*b^9*x^17)/17 + (9*a^8*b^2*x^10)/2 + (120*a^7*b^3*x^11)/11 + (35*a^6*b^4*x^12)/2 + (252*a^5*b^5*x^13)/13 + 15*a^4*b^6*x^14 + 8*a^3*b^7*x^15 + (45*a^2*b^8*x^16)/16","B"
128,1,112,112,0.121228,"\text{Not used}","int(x^6*(a + b*x)^10,x)","\frac{a^{10}\,x^7}{7}+\frac{5\,a^9\,b\,x^8}{4}+5\,a^8\,b^2\,x^9+12\,a^7\,b^3\,x^{10}+\frac{210\,a^6\,b^4\,x^{11}}{11}+21\,a^5\,b^5\,x^{12}+\frac{210\,a^4\,b^6\,x^{13}}{13}+\frac{60\,a^3\,b^7\,x^{14}}{7}+3\,a^2\,b^8\,x^{15}+\frac{5\,a\,b^9\,x^{16}}{8}+\frac{b^{10}\,x^{17}}{17}","Not used",1,"(a^10*x^7)/7 + (b^10*x^17)/17 + (5*a^9*b*x^8)/4 + (5*a*b^9*x^16)/8 + 5*a^8*b^2*x^9 + 12*a^7*b^3*x^10 + (210*a^6*b^4*x^11)/11 + 21*a^5*b^5*x^12 + (210*a^4*b^6*x^13)/13 + (60*a^3*b^7*x^14)/7 + 3*a^2*b^8*x^15","B"
129,1,112,98,0.123133,"\text{Not used}","int(x^5*(a + b*x)^10,x)","\frac{a^{10}\,x^6}{6}+\frac{10\,a^9\,b\,x^7}{7}+\frac{45\,a^8\,b^2\,x^8}{8}+\frac{40\,a^7\,b^3\,x^9}{3}+21\,a^6\,b^4\,x^{10}+\frac{252\,a^5\,b^5\,x^{11}}{11}+\frac{35\,a^4\,b^6\,x^{12}}{2}+\frac{120\,a^3\,b^7\,x^{13}}{13}+\frac{45\,a^2\,b^8\,x^{14}}{14}+\frac{2\,a\,b^9\,x^{15}}{3}+\frac{b^{10}\,x^{16}}{16}","Not used",1,"(a^10*x^6)/6 + (b^10*x^16)/16 + (10*a^9*b*x^7)/7 + (2*a*b^9*x^15)/3 + (45*a^8*b^2*x^8)/8 + (40*a^7*b^3*x^9)/3 + 21*a^6*b^4*x^10 + (252*a^5*b^5*x^11)/11 + (35*a^4*b^6*x^12)/2 + (120*a^3*b^7*x^13)/13 + (45*a^2*b^8*x^14)/14","B"
130,1,112,81,0.120263,"\text{Not used}","int(x^4*(a + b*x)^10,x)","\frac{a^{10}\,x^5}{5}+\frac{5\,a^9\,b\,x^6}{3}+\frac{45\,a^8\,b^2\,x^7}{7}+15\,a^7\,b^3\,x^8+\frac{70\,a^6\,b^4\,x^9}{3}+\frac{126\,a^5\,b^5\,x^{10}}{5}+\frac{210\,a^4\,b^6\,x^{11}}{11}+10\,a^3\,b^7\,x^{12}+\frac{45\,a^2\,b^8\,x^{13}}{13}+\frac{5\,a\,b^9\,x^{14}}{7}+\frac{b^{10}\,x^{15}}{15}","Not used",1,"(a^10*x^5)/5 + (b^10*x^15)/15 + (5*a^9*b*x^6)/3 + (5*a*b^9*x^14)/7 + (45*a^8*b^2*x^7)/7 + 15*a^7*b^3*x^8 + (70*a^6*b^4*x^9)/3 + (126*a^5*b^5*x^10)/5 + (210*a^4*b^6*x^11)/11 + 10*a^3*b^7*x^12 + (45*a^2*b^8*x^13)/13","B"
131,1,112,64,0.117709,"\text{Not used}","int(x^3*(a + b*x)^10,x)","\frac{a^{10}\,x^4}{4}+2\,a^9\,b\,x^5+\frac{15\,a^8\,b^2\,x^6}{2}+\frac{120\,a^7\,b^3\,x^7}{7}+\frac{105\,a^6\,b^4\,x^8}{4}+28\,a^5\,b^5\,x^9+21\,a^4\,b^6\,x^{10}+\frac{120\,a^3\,b^7\,x^{11}}{11}+\frac{15\,a^2\,b^8\,x^{12}}{4}+\frac{10\,a\,b^9\,x^{13}}{13}+\frac{b^{10}\,x^{14}}{14}","Not used",1,"(a^10*x^4)/4 + (b^10*x^14)/14 + 2*a^9*b*x^5 + (10*a*b^9*x^13)/13 + (15*a^8*b^2*x^6)/2 + (120*a^7*b^3*x^7)/7 + (105*a^6*b^4*x^8)/4 + 28*a^5*b^5*x^9 + 21*a^4*b^6*x^10 + (120*a^3*b^7*x^11)/11 + (15*a^2*b^8*x^12)/4","B"
132,1,31,47,0.069937,"\text{Not used}","int(x^2*(a + b*x)^10,x)","\frac{{\left(a+b\,x\right)}^{11}\,\left(8\,a^2-88\,a\,b\,x+528\,b^2\,x^2\right)}{6864\,b^3}","Not used",1,"((a + b*x)^11*(8*a^2 + 528*b^2*x^2 - 88*a*b*x))/(6864*b^3)","B"
133,1,25,30,0.094672,"\text{Not used}","int(x*(a + b*x)^10,x)","-\frac{2\,\left(\frac{a\,{\left(a+b\,x\right)}^{11}}{22}-\frac{{\left(a+b\,x\right)}^{12}}{24}\right)}{b^2}","Not used",1,"-(2*((a*(a + b*x)^11)/22 - (a + b*x)^12/24))/b^2","B"
134,1,108,14,0.112250,"\text{Not used}","int((a + b*x)^10,x)","a^{10}\,x+5\,a^9\,b\,x^2+15\,a^8\,b^2\,x^3+30\,a^7\,b^3\,x^4+42\,a^6\,b^4\,x^5+42\,a^5\,b^5\,x^6+30\,a^4\,b^6\,x^7+15\,a^3\,b^7\,x^8+5\,a^2\,b^8\,x^9+a\,b^9\,x^{10}+\frac{b^{10}\,x^{11}}{11}","Not used",1,"a^10*x + (b^10*x^11)/11 + 5*a^9*b*x^2 + a*b^9*x^10 + 15*a^8*b^2*x^3 + 30*a^7*b^3*x^4 + 42*a^6*b^4*x^5 + 42*a^5*b^5*x^6 + 30*a^4*b^6*x^7 + 15*a^3*b^7*x^8 + 5*a^2*b^8*x^9","B"
135,1,108,122,0.078896,"\text{Not used}","int((a + b*x)^10/x,x)","a^{10}\,\ln\left(x\right)+\frac{b^{10}\,x^{10}}{10}+\frac{10\,a\,b^9\,x^9}{9}+\frac{45\,a^8\,b^2\,x^2}{2}+40\,a^7\,b^3\,x^3+\frac{105\,a^6\,b^4\,x^4}{2}+\frac{252\,a^5\,b^5\,x^5}{5}+35\,a^4\,b^6\,x^6+\frac{120\,a^3\,b^7\,x^7}{7}+\frac{45\,a^2\,b^8\,x^8}{8}+10\,a^9\,b\,x","Not used",1,"a^10*log(x) + (b^10*x^10)/10 + (10*a*b^9*x^9)/9 + (45*a^8*b^2*x^2)/2 + 40*a^7*b^3*x^3 + (105*a^6*b^4*x^4)/2 + (252*a^5*b^5*x^5)/5 + 35*a^4*b^6*x^6 + (120*a^3*b^7*x^7)/7 + (45*a^2*b^8*x^8)/8 + 10*a^9*b*x","B"
136,1,109,115,0.115405,"\text{Not used}","int((a + b*x)^10/x^2,x)","\frac{b^{10}\,x^9}{9}-\frac{a^{10}}{x}+45\,a^8\,b^2\,x+\frac{5\,a\,b^9\,x^8}{4}+10\,a^9\,b\,\ln\left(x\right)+60\,a^7\,b^3\,x^2+70\,a^6\,b^4\,x^3+63\,a^5\,b^5\,x^4+42\,a^4\,b^6\,x^5+20\,a^3\,b^7\,x^6+\frac{45\,a^2\,b^8\,x^7}{7}","Not used",1,"(b^10*x^9)/9 - a^10/x + 45*a^8*b^2*x + (5*a*b^9*x^8)/4 + 10*a^9*b*log(x) + 60*a^7*b^3*x^2 + 70*a^6*b^4*x^3 + 63*a^5*b^5*x^4 + 42*a^4*b^6*x^5 + 20*a^3*b^7*x^6 + (45*a^2*b^8*x^7)/7","B"
137,1,110,119,0.071107,"\text{Not used}","int((a + b*x)^10/x^3,x)","\frac{b^{10}\,x^8}{8}-\frac{\frac{a^{10}}{2}+10\,b\,x\,a^9}{x^2}+120\,a^7\,b^3\,x+\frac{10\,a\,b^9\,x^7}{7}+105\,a^6\,b^4\,x^2+84\,a^5\,b^5\,x^3+\frac{105\,a^4\,b^6\,x^4}{2}+24\,a^3\,b^7\,x^5+\frac{15\,a^2\,b^8\,x^6}{2}+45\,a^8\,b^2\,\ln\left(x\right)","Not used",1,"(b^10*x^8)/8 - (a^10/2 + 10*a^9*b*x)/x^2 + 120*a^7*b^3*x + (10*a*b^9*x^7)/7 + 105*a^6*b^4*x^2 + 84*a^5*b^5*x^3 + (105*a^4*b^6*x^4)/2 + 24*a^3*b^7*x^5 + (15*a^2*b^8*x^6)/2 + 45*a^8*b^2*log(x)","B"
138,1,110,115,0.062216,"\text{Not used}","int((a + b*x)^10/x^4,x)","\frac{b^{10}\,x^7}{7}-\frac{\frac{a^{10}}{3}+5\,a^9\,b\,x+45\,a^8\,b^2\,x^2}{x^3}+210\,a^6\,b^4\,x+\frac{5\,a\,b^9\,x^6}{3}+126\,a^5\,b^5\,x^2+70\,a^4\,b^6\,x^3+30\,a^3\,b^7\,x^4+9\,a^2\,b^8\,x^5+120\,a^7\,b^3\,\ln\left(x\right)","Not used",1,"(b^10*x^7)/7 - (a^10/3 + 45*a^8*b^2*x^2 + 5*a^9*b*x)/x^3 + 210*a^6*b^4*x + (5*a*b^9*x^6)/3 + 126*a^5*b^5*x^2 + 70*a^4*b^6*x^3 + 30*a^3*b^7*x^4 + 9*a^2*b^8*x^5 + 120*a^7*b^3*log(x)","B"
139,1,110,119,0.097786,"\text{Not used}","int((a + b*x)^10/x^5,x)","\frac{b^{10}\,x^6}{6}-\frac{\frac{a^{10}}{4}+\frac{10\,a^9\,b\,x}{3}+\frac{45\,a^8\,b^2\,x^2}{2}+120\,a^7\,b^3\,x^3}{x^4}+252\,a^5\,b^5\,x+2\,a\,b^9\,x^5+105\,a^4\,b^6\,x^2+40\,a^3\,b^7\,x^3+\frac{45\,a^2\,b^8\,x^4}{4}+210\,a^6\,b^4\,\ln\left(x\right)","Not used",1,"(b^10*x^6)/6 - (a^10/4 + (45*a^8*b^2*x^2)/2 + 120*a^7*b^3*x^3 + (10*a^9*b*x)/3)/x^4 + 252*a^5*b^5*x + 2*a*b^9*x^5 + 105*a^4*b^6*x^2 + 40*a^3*b^7*x^3 + (45*a^2*b^8*x^4)/4 + 210*a^6*b^4*log(x)","B"
140,1,110,117,0.098510,"\text{Not used}","int((a + b*x)^10/x^6,x)","\frac{b^{10}\,x^5}{5}-\frac{\frac{a^{10}}{5}+\frac{5\,a^9\,b\,x}{2}+15\,a^8\,b^2\,x^2+60\,a^7\,b^3\,x^3+210\,a^6\,b^4\,x^4}{x^5}+210\,a^4\,b^6\,x+\frac{5\,a\,b^9\,x^4}{2}+60\,a^3\,b^7\,x^2+15\,a^2\,b^8\,x^3+252\,a^5\,b^5\,\ln\left(x\right)","Not used",1,"(b^10*x^5)/5 - (a^10/5 + 15*a^8*b^2*x^2 + 60*a^7*b^3*x^3 + 210*a^6*b^4*x^4 + (5*a^9*b*x)/2)/x^5 + 210*a^4*b^6*x + (5*a*b^9*x^4)/2 + 60*a^3*b^7*x^2 + 15*a^2*b^8*x^3 + 252*a^5*b^5*log(x)","B"
141,1,110,119,0.054523,"\text{Not used}","int((a + b*x)^10/x^7,x)","\frac{b^{10}\,x^4}{4}-\frac{\frac{a^{10}}{6}+2\,a^9\,b\,x+\frac{45\,a^8\,b^2\,x^2}{4}+40\,a^7\,b^3\,x^3+105\,a^6\,b^4\,x^4+252\,a^5\,b^5\,x^5}{x^6}+120\,a^3\,b^7\,x+\frac{10\,a\,b^9\,x^3}{3}+\frac{45\,a^2\,b^8\,x^2}{2}+210\,a^4\,b^6\,\ln\left(x\right)","Not used",1,"(b^10*x^4)/4 - (a^10/6 + (45*a^8*b^2*x^2)/4 + 40*a^7*b^3*x^3 + 105*a^6*b^4*x^4 + 252*a^5*b^5*x^5 + 2*a^9*b*x)/x^6 + 120*a^3*b^7*x + (10*a*b^9*x^3)/3 + (45*a^2*b^8*x^2)/2 + 210*a^4*b^6*log(x)","B"
142,1,110,115,0.095391,"\text{Not used}","int((a + b*x)^10/x^8,x)","\frac{b^{10}\,x^3}{3}-\frac{\frac{a^{10}}{7}+\frac{5\,a^9\,b\,x}{3}+9\,a^8\,b^2\,x^2+30\,a^7\,b^3\,x^3+70\,a^6\,b^4\,x^4+126\,a^5\,b^5\,x^5+210\,a^4\,b^6\,x^6}{x^7}+45\,a^2\,b^8\,x+5\,a\,b^9\,x^2+120\,a^3\,b^7\,\ln\left(x\right)","Not used",1,"(b^10*x^3)/3 - (a^10/7 + 9*a^8*b^2*x^2 + 30*a^7*b^3*x^3 + 70*a^6*b^4*x^4 + 126*a^5*b^5*x^5 + 210*a^4*b^6*x^6 + (5*a^9*b*x)/3)/x^7 + 45*a^2*b^8*x + 5*a*b^9*x^2 + 120*a^3*b^7*log(x)","B"
143,1,110,119,0.068340,"\text{Not used}","int((a + b*x)^10/x^9,x)","\frac{b^{10}\,x^2}{2}-\frac{\frac{a^{10}}{8}+\frac{10\,a^9\,b\,x}{7}+\frac{15\,a^8\,b^2\,x^2}{2}+24\,a^7\,b^3\,x^3+\frac{105\,a^6\,b^4\,x^4}{2}+84\,a^5\,b^5\,x^5+105\,a^4\,b^6\,x^6+120\,a^3\,b^7\,x^7}{x^8}+45\,a^2\,b^8\,\ln\left(x\right)+10\,a\,b^9\,x","Not used",1,"(b^10*x^2)/2 - (a^10/8 + (15*a^8*b^2*x^2)/2 + 24*a^7*b^3*x^3 + (105*a^6*b^4*x^4)/2 + 84*a^5*b^5*x^5 + 105*a^4*b^6*x^6 + 120*a^3*b^7*x^7 + (10*a^9*b*x)/7)/x^8 + 45*a^2*b^8*log(x) + 10*a*b^9*x","B"
144,1,114,114,0.075783,"\text{Not used}","int((a + b*x)^10/x^10,x)","-\frac{\frac{a^{10}}{9}-b^{10}\,x^{10}+\frac{45\,a^8\,b^2\,x^2}{7}+20\,a^7\,b^3\,x^3+42\,a^6\,b^4\,x^4+63\,a^5\,b^5\,x^5+70\,a^4\,b^6\,x^6+60\,a^3\,b^7\,x^7+45\,a^2\,b^8\,x^8+\frac{5\,a^9\,b\,x}{4}-10\,a\,b^9\,x^9\,\ln\left(x\right)}{x^9}","Not used",1,"-(a^10/9 - b^10*x^10 + (45*a^8*b^2*x^2)/7 + 20*a^7*b^3*x^3 + 42*a^6*b^4*x^4 + 63*a^5*b^5*x^5 + 70*a^4*b^6*x^6 + 60*a^3*b^7*x^7 + 45*a^2*b^8*x^8 + (5*a^9*b*x)/4 - 10*a*b^9*x^9*log(x))/x^9","B"
145,1,111,124,0.074132,"\text{Not used}","int((a + b*x)^10/x^11,x)","b^{10}\,\ln\left(x\right)-\frac{\frac{a^{10}}{10}+\frac{10\,a^9\,b\,x}{9}+\frac{45\,a^8\,b^2\,x^2}{8}+\frac{120\,a^7\,b^3\,x^3}{7}+35\,a^6\,b^4\,x^4+\frac{252\,a^5\,b^5\,x^5}{5}+\frac{105\,a^4\,b^6\,x^6}{2}+40\,a^3\,b^7\,x^7+\frac{45\,a^2\,b^8\,x^8}{2}+10\,a\,b^9\,x^9}{x^{10}}","Not used",1,"b^10*log(x) - (a^10/10 + 10*a*b^9*x^9 + (45*a^8*b^2*x^2)/8 + (120*a^7*b^3*x^3)/7 + 35*a^6*b^4*x^4 + (252*a^5*b^5*x^5)/5 + (105*a^4*b^6*x^6)/2 + 40*a^3*b^7*x^7 + (45*a^2*b^8*x^8)/2 + (10*a^9*b*x)/9)/x^10","B"
146,1,110,17,0.133710,"\text{Not used}","int((a + b*x)^10/x^12,x)","-\frac{\frac{a^{10}}{11}+a^9\,b\,x+5\,a^8\,b^2\,x^2+15\,a^7\,b^3\,x^3+30\,a^6\,b^4\,x^4+42\,a^5\,b^5\,x^5+42\,a^4\,b^6\,x^6+30\,a^3\,b^7\,x^7+15\,a^2\,b^8\,x^8+5\,a\,b^9\,x^9+b^{10}\,x^{10}}{x^{11}}","Not used",1,"-(a^10/11 + b^10*x^10 + 5*a*b^9*x^9 + 5*a^8*b^2*x^2 + 15*a^7*b^3*x^3 + 30*a^6*b^4*x^4 + 42*a^5*b^5*x^5 + 42*a^4*b^6*x^6 + 30*a^3*b^7*x^7 + 15*a^2*b^8*x^8 + a^9*b*x)/x^11","B"
147,1,23,36,0.096490,"\text{Not used}","int((a + b*x)^10/x^13,x)","-\frac{\left(11\,a-b\,x\right)\,{\left(a+b\,x\right)}^{11}}{132\,a^2\,x^{12}}","Not used",1,"-((11*a - b*x)*(a + b*x)^11)/(132*a^2*x^12)","B"
148,1,112,56,0.131853,"\text{Not used}","int((a + b*x)^10/x^14,x)","-\frac{\frac{a^{10}}{13}+\frac{5\,a^9\,b\,x}{6}+\frac{45\,a^8\,b^2\,x^2}{11}+12\,a^7\,b^3\,x^3+\frac{70\,a^6\,b^4\,x^4}{3}+\frac{63\,a^5\,b^5\,x^5}{2}+30\,a^4\,b^6\,x^6+20\,a^3\,b^7\,x^7+9\,a^2\,b^8\,x^8+\frac{5\,a\,b^9\,x^9}{2}+\frac{b^{10}\,x^{10}}{3}}{x^{13}}","Not used",1,"-(a^10/13 + (b^10*x^10)/3 + (5*a*b^9*x^9)/2 + (45*a^8*b^2*x^2)/11 + 12*a^7*b^3*x^3 + (70*a^6*b^4*x^4)/3 + (63*a^5*b^5*x^5)/2 + 30*a^4*b^6*x^6 + 20*a^3*b^7*x^7 + 9*a^2*b^8*x^8 + (5*a^9*b*x)/6)/x^13","B"
149,1,112,76,0.093807,"\text{Not used}","int((a + b*x)^10/x^15,x)","-\frac{\frac{a^{10}}{14}+\frac{10\,a^9\,b\,x}{13}+\frac{15\,a^8\,b^2\,x^2}{4}+\frac{120\,a^7\,b^3\,x^3}{11}+21\,a^6\,b^4\,x^4+28\,a^5\,b^5\,x^5+\frac{105\,a^4\,b^6\,x^6}{4}+\frac{120\,a^3\,b^7\,x^7}{7}+\frac{15\,a^2\,b^8\,x^8}{2}+2\,a\,b^9\,x^9+\frac{b^{10}\,x^{10}}{4}}{x^{14}}","Not used",1,"-(a^10/14 + (b^10*x^10)/4 + 2*a*b^9*x^9 + (15*a^8*b^2*x^2)/4 + (120*a^7*b^3*x^3)/11 + 21*a^6*b^4*x^4 + 28*a^5*b^5*x^5 + (105*a^4*b^6*x^6)/4 + (120*a^3*b^7*x^7)/7 + (15*a^2*b^8*x^8)/2 + (10*a^9*b*x)/13)/x^14","B"
150,1,112,96,0.130218,"\text{Not used}","int((a + b*x)^10/x^16,x)","-\frac{\frac{a^{10}}{15}+\frac{5\,a^9\,b\,x}{7}+\frac{45\,a^8\,b^2\,x^2}{13}+10\,a^7\,b^3\,x^3+\frac{210\,a^6\,b^4\,x^4}{11}+\frac{126\,a^5\,b^5\,x^5}{5}+\frac{70\,a^4\,b^6\,x^6}{3}+15\,a^3\,b^7\,x^7+\frac{45\,a^2\,b^8\,x^8}{7}+\frac{5\,a\,b^9\,x^9}{3}+\frac{b^{10}\,x^{10}}{5}}{x^{15}}","Not used",1,"-(a^10/15 + (b^10*x^10)/5 + (5*a*b^9*x^9)/3 + (45*a^8*b^2*x^2)/13 + 10*a^7*b^3*x^3 + (210*a^6*b^4*x^4)/11 + (126*a^5*b^5*x^5)/5 + (70*a^4*b^6*x^6)/3 + 15*a^3*b^7*x^7 + (45*a^2*b^8*x^8)/7 + (5*a^9*b*x)/7)/x^15","B"
151,1,112,116,0.134714,"\text{Not used}","int((a + b*x)^10/x^17,x)","-\frac{\frac{a^{10}}{16}+\frac{2\,a^9\,b\,x}{3}+\frac{45\,a^8\,b^2\,x^2}{14}+\frac{120\,a^7\,b^3\,x^3}{13}+\frac{35\,a^6\,b^4\,x^4}{2}+\frac{252\,a^5\,b^5\,x^5}{11}+21\,a^4\,b^6\,x^6+\frac{40\,a^3\,b^7\,x^7}{3}+\frac{45\,a^2\,b^8\,x^8}{8}+\frac{10\,a\,b^9\,x^9}{7}+\frac{b^{10}\,x^{10}}{6}}{x^{16}}","Not used",1,"-(a^10/16 + (b^10*x^10)/6 + (10*a*b^9*x^9)/7 + (45*a^8*b^2*x^2)/14 + (120*a^7*b^3*x^3)/13 + (35*a^6*b^4*x^4)/2 + (252*a^5*b^5*x^5)/11 + 21*a^4*b^6*x^6 + (40*a^3*b^7*x^7)/3 + (45*a^2*b^8*x^8)/8 + (2*a^9*b*x)/3)/x^16","B"
152,1,112,136,0.134320,"\text{Not used}","int((a + b*x)^10/x^18,x)","-\frac{\frac{a^{10}}{17}+\frac{5\,a^9\,b\,x}{8}+3\,a^8\,b^2\,x^2+\frac{60\,a^7\,b^3\,x^3}{7}+\frac{210\,a^6\,b^4\,x^4}{13}+21\,a^5\,b^5\,x^5+\frac{210\,a^4\,b^6\,x^6}{11}+12\,a^3\,b^7\,x^7+5\,a^2\,b^8\,x^8+\frac{5\,a\,b^9\,x^9}{4}+\frac{b^{10}\,x^{10}}{7}}{x^{17}}","Not used",1,"-(a^10/17 + (b^10*x^10)/7 + (5*a*b^9*x^9)/4 + 3*a^8*b^2*x^2 + (60*a^7*b^3*x^3)/7 + (210*a^6*b^4*x^4)/13 + 21*a^5*b^5*x^5 + (210*a^4*b^6*x^6)/11 + 12*a^3*b^7*x^7 + 5*a^2*b^8*x^8 + (5*a^9*b*x)/8)/x^17","B"
153,1,112,130,0.099086,"\text{Not used}","int((a + b*x)^10/x^19,x)","-\frac{\frac{a^{10}}{18}+\frac{10\,a^9\,b\,x}{17}+\frac{45\,a^8\,b^2\,x^2}{16}+8\,a^7\,b^3\,x^3+15\,a^6\,b^4\,x^4+\frac{252\,a^5\,b^5\,x^5}{13}+\frac{35\,a^4\,b^6\,x^6}{2}+\frac{120\,a^3\,b^7\,x^7}{11}+\frac{9\,a^2\,b^8\,x^8}{2}+\frac{10\,a\,b^9\,x^9}{9}+\frac{b^{10}\,x^{10}}{8}}{x^{18}}","Not used",1,"-(a^10/18 + (b^10*x^10)/8 + (10*a*b^9*x^9)/9 + (45*a^8*b^2*x^2)/16 + 8*a^7*b^3*x^3 + 15*a^6*b^4*x^4 + (252*a^5*b^5*x^5)/13 + (35*a^4*b^6*x^6)/2 + (120*a^3*b^7*x^7)/11 + (9*a^2*b^8*x^8)/2 + (10*a^9*b*x)/17)/x^18","B"
154,1,111,126,0.136594,"\text{Not used}","int((a + b*x)^10/x^20,x)","-\frac{\frac{a^{10}}{19}+\frac{5\,a^9\,b\,x}{9}+\frac{45\,a^8\,b^2\,x^2}{17}+\frac{15\,a^7\,b^3\,x^3}{2}+14\,a^6\,b^4\,x^4+18\,a^5\,b^5\,x^5+\frac{210\,a^4\,b^6\,x^6}{13}+10\,a^3\,b^7\,x^7+\frac{45\,a^2\,b^8\,x^8}{11}+a\,b^9\,x^9+\frac{b^{10}\,x^{10}}{9}}{x^{19}}","Not used",1,"-(a^10/19 + (b^10*x^10)/9 + a*b^9*x^9 + (45*a^8*b^2*x^2)/17 + (15*a^7*b^3*x^3)/2 + 14*a^6*b^4*x^4 + 18*a^5*b^5*x^5 + (210*a^4*b^6*x^6)/13 + 10*a^3*b^7*x^7 + (45*a^2*b^8*x^8)/11 + (5*a^9*b*x)/9)/x^19","B"
155,1,11,15,0.021065,"\text{Not used}","int(c*(a + b*x),x)","\frac{c\,x\,\left(2\,a+b\,x\right)}{2}","Not used",1,"(c*x*(2*a + b*x))/2","B"
156,1,16,20,0.074641,"\text{Not used}","int(((c + d)*(a + b*x))/e,x)","\frac{x\,\left(c+d\right)\,\left(2\,a+b\,x\right)}{2\,e}","Not used",1,"(x*(c + d)*(2*a + b*x))/(2*e)","B"
157,1,62,70,0.080047,"\text{Not used}","int(x^5/(a + b*x),x)","\frac{x^5}{5\,b}-\frac{a^5\,\ln\left(a+b\,x\right)}{b^6}-\frac{a\,x^4}{4\,b^2}+\frac{a^4\,x}{b^5}+\frac{a^2\,x^3}{3\,b^3}-\frac{a^3\,x^2}{2\,b^4}","Not used",1,"x^5/(5*b) - (a^5*log(a + b*x))/b^6 - (a*x^4)/(4*b^2) + (a^4*x)/b^5 + (a^2*x^3)/(3*b^3) - (a^3*x^2)/(2*b^4)","B"
158,1,51,57,0.099637,"\text{Not used}","int(x^4/(a + b*x),x)","\frac{x^4}{4\,b}+\frac{a^4\,\ln\left(a+b\,x\right)}{b^5}-\frac{a\,x^3}{3\,b^2}-\frac{a^3\,x}{b^4}+\frac{a^2\,x^2}{2\,b^3}","Not used",1,"x^4/(4*b) + (a^4*log(a + b*x))/b^5 - (a*x^3)/(3*b^2) - (a^3*x)/b^4 + (a^2*x^2)/(2*b^3)","B"
159,1,40,44,0.038108,"\text{Not used}","int(x^3/(a + b*x),x)","\frac{x^3}{3\,b}-\frac{a^3\,\ln\left(a+b\,x\right)}{b^4}-\frac{a\,x^2}{2\,b^2}+\frac{a^2\,x}{b^3}","Not used",1,"x^3/(3*b) - (a^3*log(a + b*x))/b^4 - (a*x^2)/(2*b^2) + (a^2*x)/b^3","B"
160,1,29,31,0.039126,"\text{Not used}","int(x^2/(a + b*x),x)","\frac{2\,a^2\,\ln\left(a+b\,x\right)+b^2\,x^2-2\,a\,b\,x}{2\,b^3}","Not used",1,"(2*a^2*log(a + b*x) + b^2*x^2 - 2*a*b*x)/(2*b^3)","B"
161,1,18,18,0.076153,"\text{Not used}","int(x/(a + b*x),x)","-\frac{a\,\ln\left(a+b\,x\right)-b\,x}{b^2}","Not used",1,"-(a*log(a + b*x) - b*x)/b^2","B"
162,1,10,10,0.020709,"\text{Not used}","int(1/(a + b*x),x)","\frac{\ln\left(a+b\,x\right)}{b}","Not used",1,"log(a + b*x)/b","B"
163,1,15,18,0.085439,"\text{Not used}","int(1/(x*(a + b*x)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a}","Not used",1,"-(2*atanh((2*b*x)/a + 1))/a","B"
164,1,25,28,0.050770,"\text{Not used}","int(1/(x^2*(a + b*x)),x)","\frac{2\,b\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^2}-\frac{1}{a\,x}","Not used",1,"(2*b*atanh((2*b*x)/a + 1))/a^2 - 1/(a*x)","B"
165,1,38,42,0.057500,"\text{Not used}","int(1/(x^3*(a + b*x)),x)","-\frac{\frac{a^2}{2}-a\,b\,x}{a^3\,x^2}-\frac{2\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^3}","Not used",1,"- (a^2/2 - a*b*x)/(a^3*x^2) - (2*b^2*atanh((2*b*x)/a + 1))/a^3","B"
166,1,48,56,0.104730,"\text{Not used}","int(1/(x^4*(a + b*x)),x)","\frac{2\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^4}-\frac{\frac{a^3}{3}-\frac{a^2\,b\,x}{2}+a\,b^2\,x^2}{a^4\,x^3}","Not used",1,"(2*b^3*atanh((2*b*x)/a + 1))/a^4 - (a^3/3 + a*b^2*x^2 - (a^2*b*x)/2)/(a^4*x^3)","B"
167,1,60,68,0.065078,"\text{Not used}","int(1/(x^5*(a + b*x)),x)","-\frac{\frac{a^4}{4}-\frac{a^3\,b\,x}{3}+\frac{a^2\,b^2\,x^2}{2}-a\,b^3\,x^3}{a^5\,x^4}-\frac{2\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^5}","Not used",1,"- (a^4/4 - a*b^3*x^3 + (a^2*b^2*x^2)/2 - (a^3*b*x)/3)/(a^5*x^4) - (2*b^4*atanh((2*b*x)/a + 1))/a^5","B"
168,1,83,81,0.139832,"\text{Not used}","int(x^6/(a + b*x)^2,x)","\frac{x^5}{5\,b^2}-\frac{6\,a^5\,\ln\left(a+b\,x\right)}{b^7}-\frac{a\,x^4}{2\,b^3}+\frac{5\,a^4\,x}{b^6}+\frac{a^2\,x^3}{b^4}-\frac{2\,a^3\,x^2}{b^5}-\frac{a^6}{b\,\left(x\,b^7+a\,b^6\right)}","Not used",1,"x^5/(5*b^2) - (6*a^5*log(a + b*x))/b^7 - (a*x^4)/(2*b^3) + (5*a^4*x)/b^6 + (a^2*x^3)/b^4 - (2*a^3*x^2)/b^5 - a^6/(b*(a*b^6 + b^7*x))","B"
169,1,72,72,0.069827,"\text{Not used}","int(x^5/(a + b*x)^2,x)","\frac{x^4}{4\,b^2}+\frac{5\,a^4\,\ln\left(a+b\,x\right)}{b^6}-\frac{2\,a\,x^3}{3\,b^3}-\frac{4\,a^3\,x}{b^5}+\frac{3\,a^2\,x^2}{2\,b^4}+\frac{a^5}{b\,\left(x\,b^6+a\,b^5\right)}","Not used",1,"x^4/(4*b^2) + (5*a^4*log(a + b*x))/b^6 - (2*a*x^3)/(3*b^3) - (4*a^3*x)/b^5 + (3*a^2*x^2)/(2*b^4) + a^5/(b*(a*b^5 + b^6*x))","B"
170,1,62,58,0.067085,"\text{Not used}","int(x^4/(a + b*x)^2,x)","\frac{x^3}{3\,b^2}-\frac{4\,a^3\,\ln\left(a+b\,x\right)}{b^5}-\frac{a\,x^2}{b^3}+\frac{3\,a^2\,x}{b^4}-\frac{a^4}{b\,\left(x\,b^5+a\,b^4\right)}","Not used",1,"x^3/(3*b^2) - (4*a^3*log(a + b*x))/b^5 - (a*x^2)/b^3 + (3*a^2*x)/b^4 - a^4/(b*(a*b^4 + b^5*x))","B"
171,1,50,46,0.079284,"\text{Not used}","int(x^3/(a + b*x)^2,x)","\frac{x^2}{2\,b^2}+\frac{3\,a^2\,\ln\left(a+b\,x\right)}{b^4}+\frac{a^3}{b\,\left(x\,b^4+a\,b^3\right)}-\frac{2\,a\,x}{b^3}","Not used",1,"x^2/(2*b^2) + (3*a^2*log(a + b*x))/b^4 + a^3/(b*(a*b^3 + b^4*x)) - (2*a*x)/b^3","B"
172,1,36,33,0.081027,"\text{Not used}","int(x^2/(a + b*x)^2,x)","\frac{x}{b^2}-\frac{a^2}{x\,b^4+a\,b^3}-\frac{2\,a\,\ln\left(a+b\,x\right)}{b^3}","Not used",1,"x/b^2 - a^2/(a*b^3 + b^4*x) - (2*a*log(a + b*x))/b^3","B"
173,1,23,23,0.036238,"\text{Not used}","int(x/(a + b*x)^2,x)","\frac{\ln\left(a+b\,x\right)}{b^2}+\frac{a}{b^2\,\left(a+b\,x\right)}","Not used",1,"log(a + b*x)/b^2 + a/(b^2*(a + b*x))","B"
174,1,12,12,0.028521,"\text{Not used}","int(1/(a + b*x)^2,x)","-\frac{1}{b\,\left(a+b\,x\right)}","Not used",1,"-1/(b*(a + b*x))","B"
175,1,26,29,0.121995,"\text{Not used}","int(1/(x*(a + b*x)^2),x)","\frac{1}{a^2+b\,x\,a}-\frac{\ln\left(\frac{a+b\,x}{x}\right)}{a^2}","Not used",1,"1/(a^2 + a*b*x) - log((a + b*x)/x)/a^2","B"
176,1,45,42,0.119886,"\text{Not used}","int(1/(x^2*(a + b*x)^2),x)","\frac{2\,b\,\ln\left(\frac{a+b\,x}{x}\right)}{a^3}-\frac{1}{a\,x\,\left(a+b\,x\right)}-\frac{2\,b}{a^2\,\left(a+b\,x\right)}","Not used",1,"(2*b*log((a + b*x)/x))/a^3 - 1/(a*x*(a + b*x)) - (2*b)/(a^2*(a + b*x))","B"
177,1,57,58,0.110217,"\text{Not used}","int(1/(x^3*(a + b*x)^2),x)","\frac{\frac{3\,b^2\,x^2}{a^3}-\frac{1}{2\,a}+\frac{3\,b\,x}{2\,a^2}}{b\,x^3+a\,x^2}-\frac{6\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^4}","Not used",1,"((3*b^2*x^2)/a^3 - 1/(2*a) + (3*b*x)/(2*a^2))/(a*x^2 + b*x^3) - (6*b^2*atanh((2*b*x)/a + 1))/a^4","B"
178,1,69,69,0.080416,"\text{Not used}","int(1/(x^4*(a + b*x)^2),x)","\frac{8\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^5}-\frac{\frac{1}{3\,a}+\frac{2\,b^2\,x^2}{a^3}+\frac{4\,b^3\,x^3}{a^4}-\frac{2\,b\,x}{3\,a^2}}{b\,x^4+a\,x^3}","Not used",1,"(8*b^3*atanh((2*b*x)/a + 1))/a^5 - (1/(3*a) + (2*b^2*x^2)/a^3 + (4*b^3*x^3)/a^4 - (2*b*x)/(3*a^2))/(a*x^3 + b*x^4)","B"
179,1,79,84,0.116500,"\text{Not used}","int(1/(x^5*(a + b*x)^2),x)","\frac{\frac{5\,b^3\,x^3}{2\,a^4}-\frac{5\,b^2\,x^2}{6\,a^3}-\frac{1}{4\,a}+\frac{5\,b^4\,x^4}{a^5}+\frac{5\,b\,x}{12\,a^2}}{b\,x^5+a\,x^4}-\frac{10\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^6}","Not used",1,"((5*b^3*x^3)/(2*a^4) - (5*b^2*x^2)/(6*a^3) - 1/(4*a) + (5*b^4*x^4)/a^5 + (5*b*x)/(12*a^2))/(a*x^4 + b*x^5) - (10*b^4*atanh((2*b*x)/a + 1))/a^6","B"
180,1,91,99,0.233542,"\text{Not used}","int(x^7/(a + b*x)^3,x)","-\frac{\frac{7\,a\,{\left(a+b\,x\right)}^4}{4}-\frac{{\left(a+b\,x\right)}^5}{5}-7\,a^2\,{\left(a+b\,x\right)}^3+\frac{35\,a^3\,{\left(a+b\,x\right)}^2}{2}+\frac{7\,a^6}{a+b\,x}-\frac{a^7}{2\,{\left(a+b\,x\right)}^2}+21\,a^5\,\ln\left(a+b\,x\right)-35\,a^4\,b\,x}{b^8}","Not used",1,"-((7*a*(a + b*x)^4)/4 - (a + b*x)^5/5 - 7*a^2*(a + b*x)^3 + (35*a^3*(a + b*x)^2)/2 + (7*a^6)/(a + b*x) - a^7/(2*(a + b*x)^2) + 21*a^5*log(a + b*x) - 35*a^4*b*x)/b^8","B"
181,1,78,86,0.158114,"\text{Not used}","int(x^6/(a + b*x)^3,x)","\frac{\frac{{\left(a+b\,x\right)}^4}{4}-2\,a\,{\left(a+b\,x\right)}^3+\frac{15\,a^2\,{\left(a+b\,x\right)}^2}{2}+\frac{6\,a^5}{a+b\,x}-\frac{a^6}{2\,{\left(a+b\,x\right)}^2}+15\,a^4\,\ln\left(a+b\,x\right)-20\,a^3\,b\,x}{b^7}","Not used",1,"((a + b*x)^4/4 - 2*a*(a + b*x)^3 + (15*a^2*(a + b*x)^2)/2 + (6*a^5)/(a + b*x) - a^6/(2*(a + b*x)^2) + 15*a^4*log(a + b*x) - 20*a^3*b*x)/b^7","B"
182,1,67,77,0.123553,"\text{Not used}","int(x^5/(a + b*x)^3,x)","-\frac{\frac{5\,a\,{\left(a+b\,x\right)}^2}{2}-\frac{{\left(a+b\,x\right)}^3}{3}+\frac{5\,a^4}{a+b\,x}-\frac{a^5}{2\,{\left(a+b\,x\right)}^2}+10\,a^3\,\ln\left(a+b\,x\right)-10\,a^2\,b\,x}{b^6}","Not used",1,"-((5*a*(a + b*x)^2)/2 - (a + b*x)^3/3 + (5*a^4)/(a + b*x) - a^5/(2*(a + b*x)^2) + 10*a^3*log(a + b*x) - 10*a^2*b*x)/b^6","B"
183,1,54,64,0.078277,"\text{Not used}","int(x^4/(a + b*x)^3,x)","\frac{\frac{{\left(a+b\,x\right)}^2}{2}+\frac{4\,a^3}{a+b\,x}-\frac{a^4}{2\,{\left(a+b\,x\right)}^2}+6\,a^2\,\ln\left(a+b\,x\right)-4\,a\,b\,x}{b^5}","Not used",1,"((a + b*x)^2/2 + (4*a^3)/(a + b*x) - a^4/(2*(a + b*x)^2) + 6*a^2*log(a + b*x) - 4*a*b*x)/b^5","B"
184,1,43,50,0.145962,"\text{Not used}","int(x^3/(a + b*x)^3,x)","-\frac{3\,a\,\ln\left(a+b\,x\right)-b\,x+\frac{3\,a^2}{a+b\,x}-\frac{a^3}{2\,{\left(a+b\,x\right)}^2}}{b^4}","Not used",1,"-(3*a*log(a + b*x) - b*x + (3*a^2)/(a + b*x) - a^3/(2*(a + b*x)^2))/b^4","B"
185,1,46,41,0.093309,"\text{Not used}","int(x^2/(a + b*x)^3,x)","\frac{\ln\left(a+b\,x\right)}{b^3}+\frac{\frac{3\,a^2}{2\,b^3}+\frac{2\,a\,x}{b^2}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"log(a + b*x)/b^3 + ((3*a^2)/(2*b^3) + (2*a*x)/b^2)/(a^2 + b^2*x^2 + 2*a*b*x)","B"
186,1,32,17,0.072431,"\text{Not used}","int(x/(a + b*x)^3,x)","-\frac{\frac{a}{2\,b^2}+\frac{x}{b}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"-(a/(2*b^2) + x/b)/(a^2 + b^2*x^2 + 2*a*b*x)","B"
187,1,26,14,0.068380,"\text{Not used}","int(1/(a + b*x)^3,x)","-\frac{1}{2\,a^2\,b+4\,a\,b^2\,x+2\,b^3\,x^2}","Not used",1,"-1/(2*a^2*b + 2*b^3*x^2 + 4*a*b^2*x)","B"
188,1,43,43,0.099676,"\text{Not used}","int(1/(x*(a + b*x)^3),x)","\frac{\frac{1}{a^2+b\,x\,a}-\frac{\ln\left(\frac{a+b\,x}{x}\right)}{a^2}}{a}+\frac{1}{2\,a\,{\left(a+b\,x\right)}^2}","Not used",1,"(1/(a^2 + a*b*x) - log((a + b*x)/x)/a^2)/a + 1/(2*a*(a + b*x)^2)","B"
189,1,63,57,0.114308,"\text{Not used}","int(1/(x^2*(a + b*x)^3),x)","\frac{6\,b\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^4}-\frac{\frac{1}{a}+\frac{3\,b^2\,x^2}{a^3}+\frac{9\,b\,x}{2\,a^2}}{a^2\,x+2\,a\,b\,x^2+b^2\,x^3}","Not used",1,"(6*b*atanh((2*b*x)/a + 1))/a^4 - (1/a + (3*b^2*x^2)/a^3 + (9*b*x)/(2*a^2))/(a^2*x + b^2*x^3 + 2*a*b*x^2)","B"
190,1,79,76,0.118569,"\text{Not used}","int(1/(x^3*(a + b*x)^3),x)","\frac{\frac{9\,b^2\,x^2}{a^3}-\frac{1}{2\,a}+\frac{6\,b^3\,x^3}{a^4}+\frac{2\,b\,x}{a^2}}{a^2\,x^2+2\,a\,b\,x^3+b^2\,x^4}-\frac{12\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^5}","Not used",1,"((9*b^2*x^2)/a^3 - 1/(2*a) + (6*b^3*x^3)/a^4 + (2*b*x)/a^2)/(a^2*x^2 + b^2*x^4 + 2*a*b*x^3) - (12*b^2*atanh((2*b*x)/a + 1))/a^5","B"
191,1,91,89,0.128335,"\text{Not used}","int(1/(x^4*(a + b*x)^3),x)","\frac{20\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^6}-\frac{\frac{1}{3\,a}+\frac{10\,b^2\,x^2}{3\,a^3}+\frac{15\,b^3\,x^3}{a^4}+\frac{10\,b^4\,x^4}{a^5}-\frac{5\,b\,x}{6\,a^2}}{a^2\,x^3+2\,a\,b\,x^4+b^2\,x^5}","Not used",1,"(20*b^3*atanh((2*b*x)/a + 1))/a^6 - (1/(3*a) + (10*b^2*x^2)/(3*a^3) + (15*b^3*x^3)/a^4 + (10*b^4*x^4)/a^5 - (5*b*x)/(6*a^2))/(a^2*x^3 + b^2*x^5 + 2*a*b*x^4)","B"
192,1,101,97,0.092152,"\text{Not used}","int(1/(x^5*(a + b*x)^3),x)","\frac{\frac{5\,b^3\,x^3}{a^4}-\frac{5\,b^2\,x^2}{4\,a^3}-\frac{1}{4\,a}+\frac{45\,b^4\,x^4}{2\,a^5}+\frac{15\,b^5\,x^5}{a^6}+\frac{b\,x}{2\,a^2}}{a^2\,x^4+2\,a\,b\,x^5+b^2\,x^6}-\frac{30\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^7}","Not used",1,"((5*b^3*x^3)/a^4 - (5*b^2*x^2)/(4*a^3) - 1/(4*a) + (45*b^4*x^4)/(2*a^5) + (15*b^5*x^5)/a^6 + (b*x)/(2*a^2))/(a^2*x^4 + b^2*x^6 + 2*a*b*x^5) - (30*b^4*atanh((2*b*x)/a + 1))/a^7","B"
193,1,103,114,0.369765,"\text{Not used}","int(x^8/(a + b*x)^4,x)","-\frac{2\,a\,{\left(a+b\,x\right)}^4-\frac{{\left(a+b\,x\right)}^5}{5}-\frac{28\,a^2\,{\left(a+b\,x\right)}^3}{3}+28\,a^3\,{\left(a+b\,x\right)}^2+\frac{28\,a^6}{a+b\,x}-\frac{4\,a^7}{{\left(a+b\,x\right)}^2}+\frac{a^8}{3\,{\left(a+b\,x\right)}^3}+56\,a^5\,\ln\left(a+b\,x\right)-70\,a^4\,b\,x}{b^9}","Not used",1,"-(2*a*(a + b*x)^4 - (a + b*x)^5/5 - (28*a^2*(a + b*x)^3)/3 + 28*a^3*(a + b*x)^2 + (28*a^6)/(a + b*x) - (4*a^7)/(a + b*x)^2 + a^8/(3*(a + b*x)^3) + 56*a^5*log(a + b*x) - 70*a^4*b*x)/b^9","B"
194,1,90,105,0.220751,"\text{Not used}","int(x^7/(a + b*x)^4,x)","\frac{\frac{{\left(a+b\,x\right)}^4}{4}-\frac{7\,a\,{\left(a+b\,x\right)}^3}{3}+\frac{21\,a^2\,{\left(a+b\,x\right)}^2}{2}+\frac{21\,a^5}{a+b\,x}-\frac{7\,a^6}{2\,{\left(a+b\,x\right)}^2}+\frac{a^7}{3\,{\left(a+b\,x\right)}^3}+35\,a^4\,\ln\left(a+b\,x\right)-35\,a^3\,b\,x}{b^8}","Not used",1,"((a + b*x)^4/4 - (7*a*(a + b*x)^3)/3 + (21*a^2*(a + b*x)^2)/2 + (21*a^5)/(a + b*x) - (7*a^6)/(2*(a + b*x)^2) + a^7/(3*(a + b*x)^3) + 35*a^4*log(a + b*x) - 35*a^3*b*x)/b^8","B"
195,1,79,90,0.152594,"\text{Not used}","int(x^6/(a + b*x)^4,x)","-\frac{3\,a\,{\left(a+b\,x\right)}^2-\frac{{\left(a+b\,x\right)}^3}{3}+\frac{15\,a^4}{a+b\,x}-\frac{3\,a^5}{{\left(a+b\,x\right)}^2}+\frac{a^6}{3\,{\left(a+b\,x\right)}^3}+20\,a^3\,\ln\left(a+b\,x\right)-15\,a^2\,b\,x}{b^7}","Not used",1,"-(3*a*(a + b*x)^2 - (a + b*x)^3/3 + (15*a^4)/(a + b*x) - (3*a^5)/(a + b*x)^2 + a^6/(3*(a + b*x)^3) + 20*a^3*log(a + b*x) - 15*a^2*b*x)/b^7","B"
196,1,66,81,0.124944,"\text{Not used}","int(x^5/(a + b*x)^4,x)","\frac{\frac{{\left(a+b\,x\right)}^2}{2}+\frac{10\,a^3}{a+b\,x}-\frac{5\,a^4}{2\,{\left(a+b\,x\right)}^2}+\frac{a^5}{3\,{\left(a+b\,x\right)}^3}+10\,a^2\,\ln\left(a+b\,x\right)-5\,a\,b\,x}{b^6}","Not used",1,"((a + b*x)^2/2 + (10*a^3)/(a + b*x) - (5*a^4)/(2*(a + b*x)^2) + a^5/(3*(a + b*x)^3) + 10*a^2*log(a + b*x) - 5*a*b*x)/b^6","B"
197,1,55,65,0.172637,"\text{Not used}","int(x^4/(a + b*x)^4,x)","-\frac{4\,a\,\ln\left(a+b\,x\right)-b\,x+\frac{6\,a^2}{a+b\,x}-\frac{2\,a^3}{{\left(a+b\,x\right)}^2}+\frac{a^4}{3\,{\left(a+b\,x\right)}^3}}{b^5}","Not used",1,"-(4*a*log(a + b*x) - b*x + (6*a^2)/(a + b*x) - (2*a^3)/(a + b*x)^2 + a^4/(3*(a + b*x)^3))/b^5","B"
198,1,45,58,0.070433,"\text{Not used}","int(x^3/(a + b*x)^4,x)","\frac{\ln\left(a+b\,x\right)+\frac{3\,a}{a+b\,x}-\frac{3\,a^2}{2\,{\left(a+b\,x\right)}^2}+\frac{a^3}{3\,{\left(a+b\,x\right)}^3}}{b^4}","Not used",1,"(log(a + b*x) + (3*a)/(a + b*x) - (3*a^2)/(2*(a + b*x)^2) + a^3/(3*(a + b*x)^3))/b^4","B"
199,1,56,17,0.085091,"\text{Not used}","int(x^2/(a + b*x)^4,x)","-\frac{a^2+3\,a\,b\,x+3\,b^2\,x^2}{3\,a^3\,b^3+9\,a^2\,b^4\,x+9\,a\,b^5\,x^2+3\,b^6\,x^3}","Not used",1,"-(a^2 + 3*b^2*x^2 + 3*a*b*x)/(3*a^3*b^3 + 3*b^6*x^3 + 9*a^2*b^4*x + 9*a*b^5*x^2)","B"
200,1,44,30,0.071999,"\text{Not used}","int(x/(a + b*x)^4,x)","-\frac{\frac{a}{6\,b^2}+\frac{x}{2\,b}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"-(a/(6*b^2) + x/(2*b))/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
201,1,37,14,0.077104,"\text{Not used}","int(1/(a + b*x)^4,x)","-\frac{1}{3\,a^3\,b+9\,a^2\,b^2\,x+9\,a\,b^3\,x^2+3\,b^4\,x^3}","Not used",1,"-1/(3*a^3*b + 3*b^4*x^3 + 9*a^2*b^2*x + 9*a*b^3*x^2)","B"
202,1,60,57,0.127766,"\text{Not used}","int(1/(x*(a + b*x)^4),x)","\frac{\frac{\frac{1}{a^2+b\,x\,a}-\frac{\ln\left(\frac{a+b\,x}{x}\right)}{a^2}}{a}+\frac{1}{2\,a\,{\left(a+b\,x\right)}^2}}{a}+\frac{1}{3\,a\,{\left(a+b\,x\right)}^3}","Not used",1,"((1/(a^2 + a*b*x) - log((a + b*x)/x)/a^2)/a + 1/(2*a*(a + b*x)^2))/a + 1/(3*a*(a + b*x)^3)","B"
203,1,85,70,0.084037,"\text{Not used}","int(1/(x^2*(a + b*x)^4),x)","\frac{8\,b\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^5}-\frac{\frac{1}{a}+\frac{10\,b^2\,x^2}{a^3}+\frac{4\,b^3\,x^3}{a^4}+\frac{22\,b\,x}{3\,a^2}}{a^3\,x+3\,a^2\,b\,x^2+3\,a\,b^2\,x^3+b^3\,x^4}","Not used",1,"(8*b*atanh((2*b*x)/a + 1))/a^5 - (1/a + (10*b^2*x^2)/a^3 + (4*b^3*x^3)/a^4 + (22*b*x)/(3*a^2))/(a^3*x + b^3*x^4 + 3*a^2*b*x^2 + 3*a*b^2*x^3)","B"
204,1,101,93,0.135592,"\text{Not used}","int(1/(x^3*(a + b*x)^4),x)","\frac{\frac{55\,b^2\,x^2}{3\,a^3}-\frac{1}{2\,a}+\frac{25\,b^3\,x^3}{a^4}+\frac{10\,b^4\,x^4}{a^5}+\frac{5\,b\,x}{2\,a^2}}{a^3\,x^2+3\,a^2\,b\,x^3+3\,a\,b^2\,x^4+b^3\,x^5}-\frac{20\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^6}","Not used",1,"((55*b^2*x^2)/(3*a^3) - 1/(2*a) + (25*b^3*x^3)/a^4 + (10*b^4*x^4)/a^5 + (5*b*x)/(2*a^2))/(a^3*x^2 + b^3*x^5 + 3*a^2*b*x^3 + 3*a*b^2*x^4) - (20*b^2*atanh((2*b*x)/a + 1))/a^6","B"
205,1,113,102,0.103979,"\text{Not used}","int(1/(x^4*(a + b*x)^4),x)","\frac{40\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^7}-\frac{\frac{1}{3\,a}+\frac{5\,b^2\,x^2}{a^3}+\frac{110\,b^3\,x^3}{3\,a^4}+\frac{50\,b^4\,x^4}{a^5}+\frac{20\,b^5\,x^5}{a^6}-\frac{b\,x}{a^2}}{a^3\,x^3+3\,a^2\,b\,x^4+3\,a\,b^2\,x^5+b^3\,x^6}","Not used",1,"(40*b^3*atanh((2*b*x)/a + 1))/a^7 - (1/(3*a) + (5*b^2*x^2)/a^3 + (110*b^3*x^3)/(3*a^4) + (50*b^4*x^4)/a^5 + (20*b^5*x^5)/a^6 - (b*x)/a^2)/(a^3*x^3 + b^3*x^6 + 3*a^2*b*x^4 + 3*a*b^2*x^5)","B"
206,1,123,117,0.172621,"\text{Not used}","int(1/(x^5*(a + b*x)^4),x)","\frac{\frac{35\,b^3\,x^3}{4\,a^4}-\frac{7\,b^2\,x^2}{4\,a^3}-\frac{1}{4\,a}+\frac{385\,b^4\,x^4}{6\,a^5}+\frac{175\,b^5\,x^5}{2\,a^6}+\frac{35\,b^6\,x^6}{a^7}+\frac{7\,b\,x}{12\,a^2}}{a^3\,x^4+3\,a^2\,b\,x^5+3\,a\,b^2\,x^6+b^3\,x^7}-\frac{70\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^8}","Not used",1,"((35*b^3*x^3)/(4*a^4) - (7*b^2*x^2)/(4*a^3) - 1/(4*a) + (385*b^4*x^4)/(6*a^5) + (175*b^5*x^5)/(2*a^6) + (35*b^6*x^6)/a^7 + (7*b*x)/(12*a^2))/(a^3*x^4 + b^3*x^7 + 3*a^2*b*x^5 + 3*a*b^2*x^6) - (70*b^4*atanh((2*b*x)/a + 1))/a^8","B"
207,1,126,150,1.086200,"\text{Not used}","int(x^10/(a + b*x)^7,x)","\frac{\frac{{\left(a+b\,x\right)}^4}{4}-\frac{10\,a\,{\left(a+b\,x\right)}^3}{3}+\frac{45\,a^2\,{\left(a+b\,x\right)}^2}{2}+\frac{252\,a^5}{a+b\,x}-\frac{105\,a^6}{{\left(a+b\,x\right)}^2}+\frac{40\,a^7}{{\left(a+b\,x\right)}^3}-\frac{45\,a^8}{4\,{\left(a+b\,x\right)}^4}+\frac{2\,a^9}{{\left(a+b\,x\right)}^5}-\frac{a^{10}}{6\,{\left(a+b\,x\right)}^6}+210\,a^4\,\ln\left(a+b\,x\right)-120\,a^3\,b\,x}{b^{11}}","Not used",1,"((a + b*x)^4/4 - (10*a*(a + b*x)^3)/3 + (45*a^2*(a + b*x)^2)/2 + (252*a^5)/(a + b*x) - (105*a^6)/(a + b*x)^2 + (40*a^7)/(a + b*x)^3 - (45*a^8)/(4*(a + b*x)^4) + (2*a^9)/(a + b*x)^5 - a^10/(6*(a + b*x)^6) + 210*a^4*log(a + b*x) - 120*a^3*b*x)/b^11","B"
208,1,115,139,0.552899,"\text{Not used}","int(x^9/(a + b*x)^7,x)","-\frac{\frac{9\,a\,{\left(a+b\,x\right)}^2}{2}-\frac{{\left(a+b\,x\right)}^3}{3}+\frac{126\,a^4}{a+b\,x}-\frac{63\,a^5}{{\left(a+b\,x\right)}^2}+\frac{28\,a^6}{{\left(a+b\,x\right)}^3}-\frac{9\,a^7}{{\left(a+b\,x\right)}^4}+\frac{9\,a^8}{5\,{\left(a+b\,x\right)}^5}-\frac{a^9}{6\,{\left(a+b\,x\right)}^6}+84\,a^3\,\ln\left(a+b\,x\right)-36\,a^2\,b\,x}{b^{10}}","Not used",1,"-((9*a*(a + b*x)^2)/2 - (a + b*x)^3/3 + (126*a^4)/(a + b*x) - (63*a^5)/(a + b*x)^2 + (28*a^6)/(a + b*x)^3 - (9*a^7)/(a + b*x)^4 + (9*a^8)/(5*(a + b*x)^5) - a^9/(6*(a + b*x)^6) + 84*a^3*log(a + b*x) - 36*a^2*b*x)/b^10","B"
209,1,102,128,0.179494,"\text{Not used}","int(x^8/(a + b*x)^7,x)","\frac{\frac{{\left(a+b\,x\right)}^2}{2}+\frac{56\,a^3}{a+b\,x}-\frac{35\,a^4}{{\left(a+b\,x\right)}^2}+\frac{56\,a^5}{3\,{\left(a+b\,x\right)}^3}-\frac{7\,a^6}{{\left(a+b\,x\right)}^4}+\frac{8\,a^7}{5\,{\left(a+b\,x\right)}^5}-\frac{a^8}{6\,{\left(a+b\,x\right)}^6}+28\,a^2\,\ln\left(a+b\,x\right)-8\,a\,b\,x}{b^9}","Not used",1,"((a + b*x)^2/2 + (56*a^3)/(a + b*x) - (35*a^4)/(a + b*x)^2 + (56*a^5)/(3*(a + b*x)^3) - (7*a^6)/(a + b*x)^4 + (8*a^7)/(5*(a + b*x)^5) - a^8/(6*(a + b*x)^6) + 28*a^2*log(a + b*x) - 8*a*b*x)/b^9","B"
210,1,91,118,0.335752,"\text{Not used}","int(x^7/(a + b*x)^7,x)","-\frac{7\,a\,\ln\left(a+b\,x\right)-b\,x+\frac{21\,a^2}{a+b\,x}-\frac{35\,a^3}{2\,{\left(a+b\,x\right)}^2}+\frac{35\,a^4}{3\,{\left(a+b\,x\right)}^3}-\frac{21\,a^5}{4\,{\left(a+b\,x\right)}^4}+\frac{7\,a^6}{5\,{\left(a+b\,x\right)}^5}-\frac{a^7}{6\,{\left(a+b\,x\right)}^6}}{b^8}","Not used",1,"-(7*a*log(a + b*x) - b*x + (21*a^2)/(a + b*x) - (35*a^3)/(2*(a + b*x)^2) + (35*a^4)/(3*(a + b*x)^3) - (21*a^5)/(4*(a + b*x)^4) + (7*a^6)/(5*(a + b*x)^5) - a^7/(6*(a + b*x)^6))/b^8","B"
211,1,81,109,0.105517,"\text{Not used}","int(x^6/(a + b*x)^7,x)","\frac{\ln\left(a+b\,x\right)+\frac{6\,a}{a+b\,x}-\frac{15\,a^2}{2\,{\left(a+b\,x\right)}^2}+\frac{20\,a^3}{3\,{\left(a+b\,x\right)}^3}-\frac{15\,a^4}{4\,{\left(a+b\,x\right)}^4}+\frac{6\,a^5}{5\,{\left(a+b\,x\right)}^5}-\frac{a^6}{6\,{\left(a+b\,x\right)}^6}}{b^7}","Not used",1,"(log(a + b*x) + (6*a)/(a + b*x) - (15*a^2)/(2*(a + b*x)^2) + (20*a^3)/(3*(a + b*x)^3) - (15*a^4)/(4*(a + b*x)^4) + (6*a^5)/(5*(a + b*x)^5) - a^6/(6*(a + b*x)^6))/b^7","B"
212,1,72,17,0.122152,"\text{Not used}","int(x^5/(a + b*x)^7,x)","\frac{\frac{5\,a}{2\,{\left(a+b\,x\right)}^2}-\frac{1}{a+b\,x}-\frac{10\,a^2}{3\,{\left(a+b\,x\right)}^3}+\frac{5\,a^3}{2\,{\left(a+b\,x\right)}^4}-\frac{a^4}{{\left(a+b\,x\right)}^5}+\frac{a^5}{6\,{\left(a+b\,x\right)}^6}}{b^6}","Not used",1,"((5*a)/(2*(a + b*x)^2) - 1/(a + b*x) - (10*a^2)/(3*(a + b*x)^3) + (5*a^3)/(2*(a + b*x)^4) - a^4/(a + b*x)^5 + a^5/(6*(a + b*x)^6))/b^6","B"
213,1,22,35,0.072107,"\text{Not used}","int(x^4/(a + b*x)^7,x)","\frac{x^5\,\left(6\,a+b\,x\right)}{30\,a^2\,{\left(a+b\,x\right)}^6}","Not used",1,"(x^5*(6*a + b*x))/(30*a^2*(a + b*x)^6)","B"
214,1,48,52,0.068217,"\text{Not used}","int(x^3/(a + b*x)^7,x)","\frac{\frac{3\,a}{4\,{\left(a+b\,x\right)}^4}-\frac{1}{3\,{\left(a+b\,x\right)}^3}-\frac{3\,a^2}{5\,{\left(a+b\,x\right)}^5}+\frac{a^3}{6\,{\left(a+b\,x\right)}^6}}{b^4}","Not used",1,"((3*a)/(4*(a + b*x)^4) - 1/(3*(a + b*x)^3) - (3*a^2)/(5*(a + b*x)^5) + a^3/(6*(a + b*x)^6))/b^4","B"
215,1,31,47,0.080230,"\text{Not used}","int(x^2/(a + b*x)^7,x)","-\frac{8\,a^2+48\,a\,b\,x+120\,b^2\,x^2}{480\,b^3\,{\left(a+b\,x\right)}^6}","Not used",1,"-(8*a^2 + 120*b^2*x^2 + 48*a*b*x)/(480*b^3*(a + b*x)^6)","B"
216,1,18,30,0.100462,"\text{Not used}","int(x/(a + b*x)^7,x)","-\frac{a+6\,b\,x}{30\,b^2\,{\left(a+b\,x\right)}^6}","Not used",1,"-(a + 6*b*x)/(30*b^2*(a + b*x)^6)","B"
217,1,70,14,0.063514,"\text{Not used}","int(1/(a + b*x)^7,x)","-\frac{1}{6\,a^6\,b+36\,a^5\,b^2\,x+90\,a^4\,b^3\,x^2+120\,a^3\,b^4\,x^3+90\,a^2\,b^5\,x^4+36\,a\,b^6\,x^5+6\,b^7\,x^6}","Not used",1,"-1/(6*a^6*b + 6*b^7*x^6 + 36*a^5*b^2*x + 36*a*b^6*x^5 + 90*a^4*b^3*x^2 + 120*a^3*b^4*x^3 + 90*a^2*b^5*x^4)","B"
218,1,102,99,0.454682,"\text{Not used}","int(1/(x*(a + b*x)^7),x)","-\frac{\ln\left(\frac{a+b\,x}{x}\right)-\frac{15\,b^2\,x^2}{2\,{\left(a+b\,x\right)}^2}+\frac{20\,b^3\,x^3}{3\,{\left(a+b\,x\right)}^3}-\frac{15\,b^4\,x^4}{4\,{\left(a+b\,x\right)}^4}+\frac{6\,b^5\,x^5}{5\,{\left(a+b\,x\right)}^5}-\frac{b^6\,x^6}{6\,{\left(a+b\,x\right)}^6}+\frac{6\,b\,x}{a+b\,x}}{a^7}","Not used",1,"-(log((a + b*x)/x) - (15*b^2*x^2)/(2*(a + b*x)^2) + (20*b^3*x^3)/(3*(a + b*x)^3) - (15*b^4*x^4)/(4*(a + b*x)^4) + (6*b^5*x^5)/(5*(a + b*x)^5) - (b^6*x^6)/(6*(a + b*x)^6) + (6*b*x)/(a + b*x))/a^7","B"
219,1,151,117,0.186479,"\text{Not used}","int(1/(x^2*(a + b*x)^7),x)","\frac{14\,b\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^8}-\frac{\frac{1}{a}+\frac{609\,b^2\,x^2}{10\,a^3}+\frac{399\,b^3\,x^3}{4\,a^4}+\frac{259\,b^4\,x^4}{3\,a^5}+\frac{77\,b^5\,x^5}{2\,a^6}+\frac{7\,b^6\,x^6}{a^7}+\frac{343\,b\,x}{20\,a^2}}{a^6\,x+6\,a^5\,b\,x^2+15\,a^4\,b^2\,x^3+20\,a^3\,b^3\,x^4+15\,a^2\,b^4\,x^5+6\,a\,b^5\,x^6+b^6\,x^7}","Not used",1,"(14*b*atanh((2*b*x)/a + 1))/a^8 - (1/a + (609*b^2*x^2)/(10*a^3) + (399*b^3*x^3)/(4*a^4) + (259*b^4*x^4)/(3*a^5) + (77*b^5*x^5)/(2*a^6) + (7*b^6*x^6)/a^7 + (343*b*x)/(20*a^2))/(a^6*x + b^6*x^7 + 6*a^5*b*x^2 + 6*a*b^5*x^6 + 15*a^4*b^2*x^3 + 20*a^3*b^3*x^4 + 15*a^2*b^4*x^5)","B"
220,1,167,144,0.208884,"\text{Not used}","int(1/(x^3*(a + b*x)^7),x)","\frac{\frac{343\,b^2\,x^2}{5\,a^3}-\frac{1}{2\,a}+\frac{1218\,b^3\,x^3}{5\,a^4}+\frac{399\,b^4\,x^4}{a^5}+\frac{1036\,b^5\,x^5}{3\,a^6}+\frac{154\,b^6\,x^6}{a^7}+\frac{28\,b^7\,x^7}{a^8}+\frac{4\,b\,x}{a^2}}{a^6\,x^2+6\,a^5\,b\,x^3+15\,a^4\,b^2\,x^4+20\,a^3\,b^3\,x^5+15\,a^2\,b^4\,x^6+6\,a\,b^5\,x^7+b^6\,x^8}-\frac{56\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^9}","Not used",1,"((343*b^2*x^2)/(5*a^3) - 1/(2*a) + (1218*b^3*x^3)/(5*a^4) + (399*b^4*x^4)/a^5 + (1036*b^5*x^5)/(3*a^6) + (154*b^6*x^6)/a^7 + (28*b^7*x^7)/a^8 + (4*b*x)/a^2)/(a^6*x^2 + b^6*x^8 + 6*a^5*b*x^3 + 6*a*b^5*x^7 + 15*a^4*b^2*x^4 + 20*a^3*b^3*x^5 + 15*a^2*b^4*x^6) - (56*b^2*atanh((2*b*x)/a + 1))/a^9","B"
221,1,179,157,0.310577,"\text{Not used}","int(1/(x^4*(a + b*x)^7),x)","\frac{168\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^{10}}-\frac{\frac{1}{3\,a}+\frac{12\,b^2\,x^2}{a^3}+\frac{1029\,b^3\,x^3}{5\,a^4}+\frac{3654\,b^4\,x^4}{5\,a^5}+\frac{1197\,b^5\,x^5}{a^6}+\frac{1036\,b^6\,x^6}{a^7}+\frac{462\,b^7\,x^7}{a^8}+\frac{84\,b^8\,x^8}{a^9}-\frac{3\,b\,x}{2\,a^2}}{a^6\,x^3+6\,a^5\,b\,x^4+15\,a^4\,b^2\,x^5+20\,a^3\,b^3\,x^6+15\,a^2\,b^4\,x^7+6\,a\,b^5\,x^8+b^6\,x^9}","Not used",1,"(168*b^3*atanh((2*b*x)/a + 1))/a^10 - (1/(3*a) + (12*b^2*x^2)/a^3 + (1029*b^3*x^3)/(5*a^4) + (3654*b^4*x^4)/(5*a^5) + (1197*b^5*x^5)/a^6 + (1036*b^6*x^6)/a^7 + (462*b^7*x^7)/a^8 + (84*b^8*x^8)/a^9 - (3*b*x)/(2*a^2))/(a^6*x^3 + b^6*x^9 + 6*a^5*b*x^4 + 6*a*b^5*x^8 + 15*a^4*b^2*x^5 + 20*a^3*b^3*x^6 + 15*a^2*b^4*x^7)","B"
222,1,151,186,0.979109,"\text{Not used}","int(x^12/(a + b*x)^10,x)","-\frac{6\,a\,{\left(a+b\,x\right)}^2-\frac{{\left(a+b\,x\right)}^3}{3}+\frac{495\,a^4}{a+b\,x}-\frac{396\,a^5}{{\left(a+b\,x\right)}^2}+\frac{308\,a^6}{{\left(a+b\,x\right)}^3}-\frac{198\,a^7}{{\left(a+b\,x\right)}^4}+\frac{99\,a^8}{{\left(a+b\,x\right)}^5}-\frac{110\,a^9}{3\,{\left(a+b\,x\right)}^6}+\frac{66\,a^{10}}{7\,{\left(a+b\,x\right)}^7}-\frac{3\,a^{11}}{2\,{\left(a+b\,x\right)}^8}+\frac{a^{12}}{9\,{\left(a+b\,x\right)}^9}+220\,a^3\,\ln\left(a+b\,x\right)-66\,a^2\,b\,x}{b^{13}}","Not used",1,"-(6*a*(a + b*x)^2 - (a + b*x)^3/3 + (495*a^4)/(a + b*x) - (396*a^5)/(a + b*x)^2 + (308*a^6)/(a + b*x)^3 - (198*a^7)/(a + b*x)^4 + (99*a^8)/(a + b*x)^5 - (110*a^9)/(3*(a + b*x)^6) + (66*a^10)/(7*(a + b*x)^7) - (3*a^11)/(2*(a + b*x)^8) + a^12/(9*(a + b*x)^9) + 220*a^3*log(a + b*x) - 66*a^2*b*x)/b^13","B"
223,1,138,177,0.227373,"\text{Not used}","int(x^11/(a + b*x)^10,x)","\frac{\frac{{\left(a+b\,x\right)}^2}{2}+\frac{165\,a^3}{a+b\,x}-\frac{165\,a^4}{{\left(a+b\,x\right)}^2}+\frac{154\,a^5}{{\left(a+b\,x\right)}^3}-\frac{231\,a^6}{2\,{\left(a+b\,x\right)}^4}+\frac{66\,a^7}{{\left(a+b\,x\right)}^5}-\frac{55\,a^8}{2\,{\left(a+b\,x\right)}^6}+\frac{55\,a^9}{7\,{\left(a+b\,x\right)}^7}-\frac{11\,a^{10}}{8\,{\left(a+b\,x\right)}^8}+\frac{a^{11}}{9\,{\left(a+b\,x\right)}^9}+55\,a^2\,\ln\left(a+b\,x\right)-11\,a\,b\,x}{b^{12}}","Not used",1,"((a + b*x)^2/2 + (165*a^3)/(a + b*x) - (165*a^4)/(a + b*x)^2 + (154*a^5)/(a + b*x)^3 - (231*a^6)/(2*(a + b*x)^4) + (66*a^7)/(a + b*x)^5 - (55*a^8)/(2*(a + b*x)^6) + (55*a^9)/(7*(a + b*x)^7) - (11*a^10)/(8*(a + b*x)^8) + a^11/(9*(a + b*x)^9) + 55*a^2*log(a + b*x) - 11*a*b*x)/b^12","B"
224,1,127,159,0.942643,"\text{Not used}","int(x^10/(a + b*x)^10,x)","-\frac{10\,a\,\ln\left(a+b\,x\right)-b\,x+\frac{45\,a^2}{a+b\,x}-\frac{60\,a^3}{{\left(a+b\,x\right)}^2}+\frac{70\,a^4}{{\left(a+b\,x\right)}^3}-\frac{63\,a^5}{{\left(a+b\,x\right)}^4}+\frac{42\,a^6}{{\left(a+b\,x\right)}^5}-\frac{20\,a^7}{{\left(a+b\,x\right)}^6}+\frac{45\,a^8}{7\,{\left(a+b\,x\right)}^7}-\frac{5\,a^9}{4\,{\left(a+b\,x\right)}^8}+\frac{a^{10}}{9\,{\left(a+b\,x\right)}^9}}{b^{11}}","Not used",1,"-(10*a*log(a + b*x) - b*x + (45*a^2)/(a + b*x) - (60*a^3)/(a + b*x)^2 + (70*a^4)/(a + b*x)^3 - (63*a^5)/(a + b*x)^4 + (42*a^6)/(a + b*x)^5 - (20*a^7)/(a + b*x)^6 + (45*a^8)/(7*(a + b*x)^7) - (5*a^9)/(4*(a + b*x)^8) + a^10/(9*(a + b*x)^9))/b^11","B"
225,1,117,154,0.186732,"\text{Not used}","int(x^9/(a + b*x)^10,x)","\frac{\ln\left(a+b\,x\right)+\frac{9\,a}{a+b\,x}-\frac{18\,a^2}{{\left(a+b\,x\right)}^2}+\frac{28\,a^3}{{\left(a+b\,x\right)}^3}-\frac{63\,a^4}{2\,{\left(a+b\,x\right)}^4}+\frac{126\,a^5}{5\,{\left(a+b\,x\right)}^5}-\frac{14\,a^6}{{\left(a+b\,x\right)}^6}+\frac{36\,a^7}{7\,{\left(a+b\,x\right)}^7}-\frac{9\,a^8}{8\,{\left(a+b\,x\right)}^8}+\frac{a^9}{9\,{\left(a+b\,x\right)}^9}}{b^{10}}","Not used",1,"(log(a + b*x) + (9*a)/(a + b*x) - (18*a^2)/(a + b*x)^2 + (28*a^3)/(a + b*x)^3 - (63*a^4)/(2*(a + b*x)^4) + (126*a^5)/(5*(a + b*x)^5) - (14*a^6)/(a + b*x)^6 + (36*a^7)/(7*(a + b*x)^7) - (9*a^8)/(8*(a + b*x)^8) + a^9/(9*(a + b*x)^9))/b^10","B"
226,1,107,17,0.141026,"\text{Not used}","int(x^8/(a + b*x)^10,x)","-\frac{\frac{1}{a+b\,x}-\frac{4\,a}{{\left(a+b\,x\right)}^2}+\frac{28\,a^2}{3\,{\left(a+b\,x\right)}^3}-\frac{14\,a^3}{{\left(a+b\,x\right)}^4}+\frac{14\,a^4}{{\left(a+b\,x\right)}^5}-\frac{28\,a^5}{3\,{\left(a+b\,x\right)}^6}+\frac{4\,a^6}{{\left(a+b\,x\right)}^7}-\frac{a^7}{{\left(a+b\,x\right)}^8}+\frac{a^8}{9\,{\left(a+b\,x\right)}^9}}{b^9}","Not used",1,"-(1/(a + b*x) - (4*a)/(a + b*x)^2 + (28*a^2)/(3*(a + b*x)^3) - (14*a^3)/(a + b*x)^4 + (14*a^4)/(a + b*x)^5 - (28*a^5)/(3*(a + b*x)^6) + (4*a^6)/(a + b*x)^7 - a^7/(a + b*x)^8 + a^8/(9*(a + b*x)^9))/b^9","B"
227,1,22,35,0.126311,"\text{Not used}","int(x^7/(a + b*x)^10,x)","\frac{x^8\,\left(9\,a+b\,x\right)}{72\,a^2\,{\left(a+b\,x\right)}^9}","Not used",1,"(x^8*(9*a + b*x))/(72*a^2*(a + b*x)^9)","B"
228,1,85,52,0.140204,"\text{Not used}","int(x^6/(a + b*x)^10,x)","-\frac{\frac{1}{3\,{\left(a+b\,x\right)}^3}-\frac{3\,a}{2\,{\left(a+b\,x\right)}^4}+\frac{3\,a^2}{{\left(a+b\,x\right)}^5}-\frac{10\,a^3}{3\,{\left(a+b\,x\right)}^6}+\frac{15\,a^4}{7\,{\left(a+b\,x\right)}^7}-\frac{3\,a^5}{4\,{\left(a+b\,x\right)}^8}+\frac{a^6}{9\,{\left(a+b\,x\right)}^9}}{b^7}","Not used",1,"-(1/(3*(a + b*x)^3) - (3*a)/(2*(a + b*x)^4) + (3*a^2)/(a + b*x)^5 - (10*a^3)/(3*(a + b*x)^6) + (15*a^4)/(7*(a + b*x)^7) - (3*a^5)/(4*(a + b*x)^8) + a^6/(9*(a + b*x)^9))/b^7","B"
229,1,71,69,0.077959,"\text{Not used}","int(x^5/(a + b*x)^10,x)","\frac{\frac{a}{{\left(a+b\,x\right)}^5}-\frac{1}{4\,{\left(a+b\,x\right)}^4}-\frac{5\,a^2}{3\,{\left(a+b\,x\right)}^6}+\frac{10\,a^3}{7\,{\left(a+b\,x\right)}^7}-\frac{5\,a^4}{8\,{\left(a+b\,x\right)}^8}+\frac{a^5}{9\,{\left(a+b\,x\right)}^9}}{b^6}","Not used",1,"(a/(a + b*x)^5 - 1/(4*(a + b*x)^4) - (5*a^2)/(3*(a + b*x)^6) + (10*a^3)/(7*(a + b*x)^7) - (5*a^4)/(8*(a + b*x)^8) + a^5/(9*(a + b*x)^9))/b^6","B"
230,1,61,81,0.076617,"\text{Not used}","int(x^4/(a + b*x)^10,x)","-\frac{\frac{1}{5\,{\left(a+b\,x\right)}^5}-\frac{2\,a}{3\,{\left(a+b\,x\right)}^6}+\frac{6\,a^2}{7\,{\left(a+b\,x\right)}^7}-\frac{a^3}{2\,{\left(a+b\,x\right)}^8}+\frac{a^4}{9\,{\left(a+b\,x\right)}^9}}{b^5}","Not used",1,"-(1/(5*(a + b*x)^5) - (2*a)/(3*(a + b*x)^6) + (6*a^2)/(7*(a + b*x)^7) - a^3/(2*(a + b*x)^8) + a^4/(9*(a + b*x)^9))/b^5","B"
231,1,48,64,0.127318,"\text{Not used}","int(x^3/(a + b*x)^10,x)","\frac{\frac{3\,a}{7\,{\left(a+b\,x\right)}^7}-\frac{1}{6\,{\left(a+b\,x\right)}^6}-\frac{3\,a^2}{8\,{\left(a+b\,x\right)}^8}+\frac{a^3}{9\,{\left(a+b\,x\right)}^9}}{b^4}","Not used",1,"((3*a)/(7*(a + b*x)^7) - 1/(6*(a + b*x)^6) - (3*a^2)/(8*(a + b*x)^8) + a^3/(9*(a + b*x)^9))/b^4","B"
232,1,31,47,0.149986,"\text{Not used}","int(x^2/(a + b*x)^10,x)","-\frac{8\,a^2+72\,a\,b\,x+288\,b^2\,x^2}{2016\,b^3\,{\left(a+b\,x\right)}^9}","Not used",1,"-(8*a^2 + 288*b^2*x^2 + 72*a*b*x)/(2016*b^3*(a + b*x)^9)","B"
233,1,18,30,0.067162,"\text{Not used}","int(x/(a + b*x)^10,x)","-\frac{a+9\,b\,x}{72\,b^2\,{\left(a+b\,x\right)}^9}","Not used",1,"-(a + 9*b*x)/(72*b^2*(a + b*x)^9)","B"
234,1,103,14,0.141444,"\text{Not used}","int(1/(a + b*x)^10,x)","-\frac{1}{9\,a^9\,b+81\,a^8\,b^2\,x+324\,a^7\,b^3\,x^2+756\,a^6\,b^4\,x^3+1134\,a^5\,b^5\,x^4+1134\,a^4\,b^6\,x^5+756\,a^3\,b^7\,x^6+324\,a^2\,b^8\,x^7+81\,a\,b^9\,x^8+9\,b^{10}\,x^9}","Not used",1,"-1/(9*a^9*b + 9*b^10*x^9 + 81*a^8*b^2*x + 81*a*b^9*x^8 + 324*a^7*b^3*x^2 + 756*a^6*b^4*x^3 + 1134*a^5*b^5*x^4 + 1134*a^4*b^6*x^5 + 756*a^3*b^7*x^6 + 324*a^2*b^8*x^7)","B"
235,1,145,141,0.761777,"\text{Not used}","int(1/(x*(a + b*x)^10),x)","\frac{1}{9\,a\,{\left(a+b\,x\right)}^9}-\frac{\ln\left(\frac{a+b\,x}{x}\right)-\frac{14\,b^2\,x^2}{{\left(a+b\,x\right)}^2}+\frac{56\,b^3\,x^3}{3\,{\left(a+b\,x\right)}^3}-\frac{35\,b^4\,x^4}{2\,{\left(a+b\,x\right)}^4}+\frac{56\,b^5\,x^5}{5\,{\left(a+b\,x\right)}^5}-\frac{14\,b^6\,x^6}{3\,{\left(a+b\,x\right)}^6}+\frac{8\,b^7\,x^7}{7\,{\left(a+b\,x\right)}^7}-\frac{b^8\,x^8}{8\,{\left(a+b\,x\right)}^8}+\frac{8\,b\,x}{a+b\,x}}{a^{10}}","Not used",1,"1/(9*a*(a + b*x)^9) - (log((a + b*x)/x) - (14*b^2*x^2)/(a + b*x)^2 + (56*b^3*x^3)/(3*(a + b*x)^3) - (35*b^4*x^4)/(2*(a + b*x)^4) + (56*b^5*x^5)/(5*(a + b*x)^5) - (14*b^6*x^6)/(3*(a + b*x)^6) + (8*b^7*x^7)/(7*(a + b*x)^7) - (b^8*x^8)/(8*(a + b*x)^8) + (8*b*x)/(a + b*x))/a^10","B"
236,1,217,158,0.394817,"\text{Not used}","int(1/(x^2*(a + b*x)^10),x)","\frac{20\,b\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^{11}}-\frac{\frac{1}{a}+\frac{4609\,b^2\,x^2}{28\,a^3}+\frac{3349\,b^3\,x^3}{7\,a^4}+\frac{2509\,b^4\,x^4}{3\,a^5}+\frac{1879\,b^5\,x^5}{2\,a^6}+\frac{1375\,b^6\,x^6}{2\,a^7}+\frac{955\,b^7\,x^7}{3\,a^8}+\frac{85\,b^8\,x^8}{a^9}+\frac{10\,b^9\,x^9}{a^{10}}+\frac{7129\,b\,x}{252\,a^2}}{a^9\,x+9\,a^8\,b\,x^2+36\,a^7\,b^2\,x^3+84\,a^6\,b^3\,x^4+126\,a^5\,b^4\,x^5+126\,a^4\,b^5\,x^6+84\,a^3\,b^6\,x^7+36\,a^2\,b^7\,x^8+9\,a\,b^8\,x^9+b^9\,x^{10}}","Not used",1,"(20*b*atanh((2*b*x)/a + 1))/a^11 - (1/a + (4609*b^2*x^2)/(28*a^3) + (3349*b^3*x^3)/(7*a^4) + (2509*b^4*x^4)/(3*a^5) + (1879*b^5*x^5)/(2*a^6) + (1375*b^6*x^6)/(2*a^7) + (955*b^7*x^7)/(3*a^8) + (85*b^8*x^8)/a^9 + (10*b^9*x^9)/a^10 + (7129*b*x)/(252*a^2))/(a^9*x + b^9*x^10 + 9*a^8*b*x^2 + 9*a*b^8*x^9 + 36*a^7*b^2*x^3 + 84*a^6*b^3*x^4 + 126*a^5*b^4*x^5 + 126*a^4*b^5*x^6 + 84*a^3*b^6*x^7 + 36*a^2*b^7*x^8)","B"
237,1,233,191,0.437867,"\text{Not used}","int(1/(x^3*(a + b*x)^10),x)","\frac{\frac{78419\,b^2\,x^2}{504\,a^3}-\frac{1}{2\,a}+\frac{50699\,b^3\,x^3}{56\,a^4}+\frac{36839\,b^4\,x^4}{14\,a^5}+\frac{27599\,b^5\,x^5}{6\,a^6}+\frac{20669\,b^6\,x^6}{4\,a^7}+\frac{15125\,b^7\,x^7}{4\,a^8}+\frac{10505\,b^8\,x^8}{6\,a^9}+\frac{935\,b^9\,x^9}{2\,a^{10}}+\frac{55\,b^{10}\,x^{10}}{a^{11}}+\frac{11\,b\,x}{2\,a^2}}{a^9\,x^2+9\,a^8\,b\,x^3+36\,a^7\,b^2\,x^4+84\,a^6\,b^3\,x^5+126\,a^5\,b^4\,x^6+126\,a^4\,b^5\,x^7+84\,a^3\,b^6\,x^8+36\,a^2\,b^7\,x^9+9\,a\,b^8\,x^{10}+b^9\,x^{11}}-\frac{110\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^{12}}","Not used",1,"((78419*b^2*x^2)/(504*a^3) - 1/(2*a) + (50699*b^3*x^3)/(56*a^4) + (36839*b^4*x^4)/(14*a^5) + (27599*b^5*x^5)/(6*a^6) + (20669*b^6*x^6)/(4*a^7) + (15125*b^7*x^7)/(4*a^8) + (10505*b^8*x^8)/(6*a^9) + (935*b^9*x^9)/(2*a^10) + (55*b^10*x^10)/a^11 + (11*b*x)/(2*a^2))/(a^9*x^2 + b^9*x^11 + 9*a^8*b*x^3 + 9*a*b^8*x^10 + 36*a^7*b^2*x^4 + 84*a^6*b^3*x^5 + 126*a^5*b^4*x^6 + 126*a^4*b^5*x^7 + 84*a^3*b^6*x^8 + 36*a^2*b^7*x^9) - (110*b^2*atanh((2*b*x)/a + 1))/a^12","B"
238,1,245,198,0.585748,"\text{Not used}","int(1/(x^4*(a + b*x)^10),x)","\frac{440\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^{13}}-\frac{\frac{1}{3\,a}+\frac{22\,b^2\,x^2}{a^3}+\frac{78419\,b^3\,x^3}{126\,a^4}+\frac{50699\,b^4\,x^4}{14\,a^5}+\frac{73678\,b^5\,x^5}{7\,a^6}+\frac{55198\,b^6\,x^6}{3\,a^7}+\frac{20669\,b^7\,x^7}{a^8}+\frac{15125\,b^8\,x^8}{a^9}+\frac{21010\,b^9\,x^9}{3\,a^{10}}+\frac{1870\,b^{10}\,x^{10}}{a^{11}}+\frac{220\,b^{11}\,x^{11}}{a^{12}}-\frac{2\,b\,x}{a^2}}{a^9\,x^3+9\,a^8\,b\,x^4+36\,a^7\,b^2\,x^5+84\,a^6\,b^3\,x^6+126\,a^5\,b^4\,x^7+126\,a^4\,b^5\,x^8+84\,a^3\,b^6\,x^9+36\,a^2\,b^7\,x^{10}+9\,a\,b^8\,x^{11}+b^9\,x^{12}}","Not used",1,"(440*b^3*atanh((2*b*x)/a + 1))/a^13 - (1/(3*a) + (22*b^2*x^2)/a^3 + (78419*b^3*x^3)/(126*a^4) + (50699*b^4*x^4)/(14*a^5) + (73678*b^5*x^5)/(7*a^6) + (55198*b^6*x^6)/(3*a^7) + (20669*b^7*x^7)/a^8 + (15125*b^8*x^8)/a^9 + (21010*b^9*x^9)/(3*a^10) + (1870*b^10*x^10)/a^11 + (220*b^11*x^11)/a^12 - (2*b*x)/a^2)/(a^9*x^3 + b^9*x^12 + 9*a^8*b*x^4 + 9*a*b^8*x^11 + 36*a^7*b^2*x^5 + 84*a^6*b^3*x^6 + 126*a^5*b^4*x^7 + 126*a^4*b^5*x^8 + 84*a^3*b^6*x^9 + 36*a^2*b^7*x^10)","B"
239,1,132,141,0.081091,"\text{Not used}","int((a + b*x)^12/x^10,x)","\frac{b^{12}\,x^3}{3}-\frac{\frac{a^{12}}{9}+\frac{3\,a^{11}\,b\,x}{2}+\frac{66\,a^{10}\,b^2\,x^2}{7}+\frac{110\,a^9\,b^3\,x^3}{3}+99\,a^8\,b^4\,x^4+198\,a^7\,b^5\,x^5+308\,a^6\,b^6\,x^6+396\,a^5\,b^7\,x^7+495\,a^4\,b^8\,x^8}{x^9}+66\,a^2\,b^{10}\,x+6\,a\,b^{11}\,x^2+220\,a^3\,b^9\,\ln\left(x\right)","Not used",1,"(b^12*x^3)/3 - (a^12/9 + (66*a^10*b^2*x^2)/7 + (110*a^9*b^3*x^3)/3 + 99*a^8*b^4*x^4 + 198*a^7*b^5*x^5 + 308*a^6*b^6*x^6 + 396*a^5*b^7*x^7 + 495*a^4*b^8*x^8 + (3*a^11*b*x)/2)/x^9 + 66*a^2*b^10*x + 6*a*b^11*x^2 + 220*a^3*b^9*log(x)","B"
240,1,121,132,0.092066,"\text{Not used}","int((a + b*x)^11/x^10,x)","\frac{b^{11}\,x^2}{2}-\frac{\frac{a^{11}}{9}+\frac{11\,a^{10}\,b\,x}{8}+\frac{55\,a^9\,b^2\,x^2}{7}+\frac{55\,a^8\,b^3\,x^3}{2}+66\,a^7\,b^4\,x^4+\frac{231\,a^6\,b^5\,x^5}{2}+154\,a^5\,b^6\,x^6+165\,a^4\,b^7\,x^7+165\,a^3\,b^8\,x^8}{x^9}+55\,a^2\,b^9\,\ln\left(x\right)+11\,a\,b^{10}\,x","Not used",1,"(b^11*x^2)/2 - (a^11/9 + (55*a^9*b^2*x^2)/7 + (55*a^8*b^3*x^3)/2 + 66*a^7*b^4*x^4 + (231*a^6*b^5*x^5)/2 + 154*a^5*b^6*x^6 + 165*a^4*b^7*x^7 + 165*a^3*b^8*x^8 + (11*a^10*b*x)/8)/x^9 + 55*a^2*b^9*log(x) + 11*a*b^10*x","B"
241,1,114,114,0.002143,"\text{Not used}","int((a + b*x)^10/x^10,x)","-\frac{\frac{a^{10}}{9}-b^{10}\,x^{10}+\frac{45\,a^8\,b^2\,x^2}{7}+20\,a^7\,b^3\,x^3+42\,a^6\,b^4\,x^4+63\,a^5\,b^5\,x^5+70\,a^4\,b^6\,x^6+60\,a^3\,b^7\,x^7+45\,a^2\,b^8\,x^8+\frac{5\,a^9\,b\,x}{4}-10\,a\,b^9\,x^9\,\ln\left(x\right)}{x^9}","Not used",1,"-(a^10/9 - b^10*x^10 + (45*a^8*b^2*x^2)/7 + 20*a^7*b^3*x^3 + 42*a^6*b^4*x^4 + 63*a^5*b^5*x^5 + 70*a^4*b^6*x^6 + 60*a^3*b^7*x^7 + 45*a^2*b^8*x^8 + (5*a^9*b*x)/4 - 10*a*b^9*x^9*log(x))/x^9","B"
242,1,100,109,0.082158,"\text{Not used}","int((a + b*x)^9/x^10,x)","b^9\,\ln\left(x\right)-\frac{\frac{a^9}{9}+\frac{9\,a^8\,b\,x}{8}+\frac{36\,a^7\,b^2\,x^2}{7}+14\,a^6\,b^3\,x^3+\frac{126\,a^5\,b^4\,x^4}{5}+\frac{63\,a^4\,b^5\,x^5}{2}+28\,a^3\,b^6\,x^6+18\,a^2\,b^7\,x^7+9\,a\,b^8\,x^8}{x^9}","Not used",1,"b^9*log(x) - (a^9/9 + 9*a*b^8*x^8 + (36*a^7*b^2*x^2)/7 + 14*a^6*b^3*x^3 + (126*a^5*b^4*x^4)/5 + (63*a^4*b^5*x^5)/2 + 28*a^3*b^6*x^6 + 18*a^2*b^7*x^7 + (9*a^8*b*x)/8)/x^9","B"
243,1,88,17,0.090326,"\text{Not used}","int((a + b*x)^8/x^10,x)","-\frac{\frac{a^8}{9}+a^7\,b\,x+4\,a^6\,b^2\,x^2+\frac{28\,a^5\,b^3\,x^3}{3}+14\,a^4\,b^4\,x^4+14\,a^3\,b^5\,x^5+\frac{28\,a^2\,b^6\,x^6}{3}+4\,a\,b^7\,x^7+b^8\,x^8}{x^9}","Not used",1,"-(a^8/9 + b^8*x^8 + 4*a*b^7*x^7 + 4*a^6*b^2*x^2 + (28*a^5*b^3*x^3)/3 + 14*a^4*b^4*x^4 + 14*a^3*b^5*x^5 + (28*a^2*b^6*x^6)/3 + a^7*b*x)/x^9","B"
244,1,23,36,0.002090,"\text{Not used}","int((a + b*x)^7/x^10,x)","-\frac{\left(8\,a-b\,x\right)\,{\left(a+b\,x\right)}^8}{72\,a^2\,x^9}","Not used",1,"-((8*a - b*x)*(a + b*x)^8)/(72*a^2*x^9)","B"
245,1,68,56,0.097897,"\text{Not used}","int((a + b*x)^6/x^10,x)","-\frac{\frac{a^6}{9}+\frac{3\,a^5\,b\,x}{4}+\frac{15\,a^4\,b^2\,x^2}{7}+\frac{10\,a^3\,b^3\,x^3}{3}+3\,a^2\,b^4\,x^4+\frac{3\,a\,b^5\,x^5}{2}+\frac{b^6\,x^6}{3}}{x^9}","Not used",1,"-(a^6/9 + (b^6*x^6)/3 + (3*a*b^5*x^5)/2 + (15*a^4*b^2*x^2)/7 + (10*a^3*b^3*x^3)/3 + 3*a^2*b^4*x^4 + (3*a^5*b*x)/4)/x^9","B"
246,1,56,67,0.002088,"\text{Not used}","int((a + b*x)^5/x^10,x)","-\frac{\frac{a^5}{9}+\frac{5\,a^4\,b\,x}{8}+\frac{10\,a^3\,b^2\,x^2}{7}+\frac{5\,a^2\,b^3\,x^3}{3}+a\,b^4\,x^4+\frac{b^5\,x^5}{4}}{x^9}","Not used",1,"-(a^5/9 + (b^5*x^5)/4 + a*b^4*x^4 + (10*a^3*b^2*x^2)/7 + (5*a^2*b^3*x^3)/3 + (5*a^4*b*x)/8)/x^9","B"
247,1,46,56,0.034819,"\text{Not used}","int((a + b*x)^4/x^10,x)","-\frac{\frac{a^4}{9}+\frac{a^3\,b\,x}{2}+\frac{6\,a^2\,b^2\,x^2}{7}+\frac{2\,a\,b^3\,x^3}{3}+\frac{b^4\,x^4}{5}}{x^9}","Not used",1,"-(a^4/9 + (b^4*x^4)/5 + (2*a*b^3*x^3)/3 + (6*a^2*b^2*x^2)/7 + (a^3*b*x)/2)/x^9","B"
248,1,35,43,0.032314,"\text{Not used}","int((a + b*x)^3/x^10,x)","-\frac{\frac{a^3}{9}+\frac{3\,a^2\,b\,x}{8}+\frac{3\,a\,b^2\,x^2}{7}+\frac{b^3\,x^3}{6}}{x^9}","Not used",1,"-(a^3/9 + (b^3*x^3)/6 + (3*a*b^2*x^2)/7 + (3*a^2*b*x)/8)/x^9","B"
249,1,24,30,0.035994,"\text{Not used}","int((a + b*x)^2/x^10,x)","-\frac{\frac{a^2}{9}+\frac{a\,b\,x}{4}+\frac{b^2\,x^2}{7}}{x^9}","Not used",1,"-(a^2/9 + (b^2*x^2)/7 + (a*b*x)/4)/x^9","B"
250,1,13,17,0.028773,"\text{Not used}","int((a + b*x)/x^10,x)","-\frac{8\,a+9\,b\,x}{72\,x^9}","Not used",1,"-(8*a + 9*b*x)/(72*x^9)","B"
251,1,5,7,0.019924,"\text{Not used}","int(1/x^10,x)","-\frac{1}{9\,x^9}","Not used",1,"-1/(9*x^9)","B"
252,1,114,134,0.127040,"\text{Not used}","int(1/(x^10*(a + b*x)),x)","-\frac{280\,a^9+2520\,a\,b^8\,x^8-5040\,b^9\,x^9\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)+360\,a^7\,b^2\,x^2-420\,a^6\,b^3\,x^3+504\,a^5\,b^4\,x^4-630\,a^4\,b^5\,x^5+840\,a^3\,b^6\,x^6-1260\,a^2\,b^7\,x^7-315\,a^8\,b\,x}{2520\,a^{10}\,x^9}","Not used",1,"-(280*a^9 + 2520*a*b^8*x^8 - 5040*b^9*x^9*atanh((2*b*x)/a + 1) + 360*a^7*b^2*x^2 - 420*a^6*b^3*x^3 + 504*a^5*b^4*x^4 - 630*a^4*b^5*x^5 + 840*a^3*b^6*x^6 - 1260*a^2*b^7*x^7 - 315*a^8*b*x)/(2520*a^10*x^9)","B"
253,1,135,146,0.083185,"\text{Not used}","int(1/(x^10*(a + b*x)^2),x)","\frac{20\,b^9\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^{11}}-\frac{\frac{1}{9\,a}+\frac{5\,b^2\,x^2}{28\,a^3}-\frac{5\,b^3\,x^3}{21\,a^4}+\frac{b^4\,x^4}{3\,a^5}-\frac{b^5\,x^5}{2\,a^6}+\frac{5\,b^6\,x^6}{6\,a^7}-\frac{5\,b^7\,x^7}{3\,a^8}+\frac{5\,b^8\,x^8}{a^9}+\frac{10\,b^9\,x^9}{a^{10}}-\frac{5\,b\,x}{36\,a^2}}{b\,x^{10}+a\,x^9}","Not used",1,"(20*b^9*atanh((2*b*x)/a + 1))/a^11 - (1/(9*a) + (5*b^2*x^2)/(28*a^3) - (5*b^3*x^3)/(21*a^4) + (b^4*x^4)/(3*a^5) - (b^5*x^5)/(2*a^6) + (5*b^6*x^6)/(6*a^7) - (5*b^7*x^7)/(3*a^8) + (5*b^8*x^8)/a^9 + (10*b^9*x^9)/a^10 - (5*b*x)/(36*a^2))/(a*x^9 + b*x^10)","B"
254,1,157,163,0.227836,"\text{Not used}","int(1/(x^10*(a + b*x)^3),x)","\frac{110\,b^9\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^{12}}-\frac{\frac{1}{9\,a}+\frac{55\,b^2\,x^2}{252\,a^3}-\frac{55\,b^3\,x^3}{168\,a^4}+\frac{11\,b^4\,x^4}{21\,a^5}-\frac{11\,b^5\,x^5}{12\,a^6}+\frac{11\,b^6\,x^6}{6\,a^7}-\frac{55\,b^7\,x^7}{12\,a^8}+\frac{55\,b^8\,x^8}{3\,a^9}+\frac{165\,b^9\,x^9}{2\,a^{10}}+\frac{55\,b^{10}\,x^{10}}{a^{11}}-\frac{11\,b\,x}{72\,a^2}}{a^2\,x^9+2\,a\,b\,x^{10}+b^2\,x^{11}}","Not used",1,"(110*b^9*atanh((2*b*x)/a + 1))/a^12 - (1/(9*a) + (55*b^2*x^2)/(252*a^3) - (55*b^3*x^3)/(168*a^4) + (11*b^4*x^4)/(21*a^5) - (11*b^5*x^5)/(12*a^6) + (11*b^6*x^6)/(6*a^7) - (55*b^7*x^7)/(12*a^8) + (55*b^8*x^8)/(3*a^9) + (165*b^9*x^9)/(2*a^10) + (55*b^10*x^10)/a^11 - (11*b*x)/(72*a^2))/(a^2*x^9 + b^2*x^11 + 2*a*b*x^10)","B"
255,1,10,17,0.170261,"\text{Not used}","int(1/(x*(3*x + 2)),x)","-\frac{\ln\left(\frac{2}{x}+3\right)}{2}","Not used",1,"-log(2/x + 3)/2","B"
256,1,10,17,0.143027,"\text{Not used}","int(1/(x*(6*x + 4)),x)","-\frac{\ln\left(\frac{4}{x}+6\right)}{4}","Not used",1,"-log(4/x + 6)/4","B"
257,1,18,24,0.053809,"\text{Not used}","int(1/(x^2*(6*x + 4)),x)","-\frac{3\,\ln\left(\frac{x}{6\,x+4}\right)}{8}-\frac{1}{4\,x}","Not used",1,"- (3*log(x/(6*x + 4)))/8 - 1/(4*x)","B"
258,1,18,31,0.037349,"\text{Not used}","int(1/(x^3*(6*x + 4)),x)","\frac{\frac{3\,x}{8}-\frac{1}{8}}{x^2}-\frac{9\,\mathrm{atanh}\left(3\,x+1\right)}{8}","Not used",1,"((3*x)/8 - 1/8)/x^2 - (9*atanh(3*x + 1))/8","B"
259,1,24,38,0.088372,"\text{Not used}","int(1/(x^4*(6*x + 4)),x)","\frac{27\,\mathrm{atanh}\left(3\,x+1\right)}{16}-\frac{\frac{9\,x^2}{16}-\frac{3\,x}{16}+\frac{1}{12}}{x^3}","Not used",1,"(27*atanh(3*x + 1))/16 - ((9*x^2)/16 - (3*x)/16 + 1/12)/x^3","B"
260,1,28,45,0.039691,"\text{Not used}","int(1/(x^5*(6*x + 4)),x)","\frac{\frac{27\,x^3}{32}-\frac{9\,x^2}{32}+\frac{x}{8}-\frac{1}{16}}{x^4}-\frac{81\,\mathrm{atanh}\left(3\,x+1\right)}{32}","Not used",1,"(x/8 - (9*x^2)/32 + (27*x^3)/32 - 1/16)/x^4 - (81*atanh(3*x + 1))/32","B"
261,1,20,28,0.055290,"\text{Not used}","int(1/(x*(6*x + 4)^2),x)","\frac{1}{8\,\left(3\,x+2\right)}-\frac{\ln\left(\frac{6\,x+4}{x}\right)}{16}","Not used",1,"1/(8*(3*x + 2)) - log((6*x + 4)/x)/16","B"
262,1,34,35,0.089209,"\text{Not used}","int(1/(x^2*(6*x + 4)^2),x)","\frac{3\,\ln\left(\frac{6\,x+4}{x}\right)}{16}-\frac{3}{4\,\left(6\,x+4\right)}-\frac{1}{4\,x\,\left(6\,x+4\right)}","Not used",1,"(3*log((6*x + 4)/x))/16 - 3/(4*(6*x + 4)) - 1/(4*x*(6*x + 4))","B"
263,1,31,42,0.042241,"\text{Not used}","int(1/(x^3*(6*x + 4)^2),x)","\frac{\frac{9\,x^2}{32}+\frac{3\,x}{32}-\frac{1}{48}}{x^3+\frac{2\,x^2}{3}}-\frac{27\,\mathrm{atanh}\left(3\,x+1\right)}{32}","Not used",1,"((3*x)/32 + (9*x^2)/32 - 1/48)/((2*x^2)/3 + x^3) - (27*atanh(3*x + 1))/32","B"
264,1,37,49,0.093177,"\text{Not used}","int(1/(x^4*(6*x + 4)^2),x)","\frac{27\,\mathrm{atanh}\left(3\,x+1\right)}{16}-\frac{\frac{9\,x^3}{16}+\frac{3\,x^2}{16}-\frac{x}{24}+\frac{1}{72}}{x^4+\frac{2\,x^3}{3}}","Not used",1,"(27*atanh(3*x + 1))/16 - ((3*x^2)/16 - x/24 + (9*x^3)/16 + 1/72)/((2*x^3)/3 + x^4)","B"
265,1,41,56,0.094961,"\text{Not used}","int(1/(x^5*(6*x + 4)^2),x)","\frac{\frac{135\,x^4}{128}+\frac{45\,x^3}{128}-\frac{5\,x^2}{64}+\frac{5\,x}{192}-\frac{1}{96}}{x^5+\frac{2\,x^4}{3}}-\frac{405\,\mathrm{atanh}\left(3\,x+1\right)}{128}","Not used",1,"((5*x)/192 - (5*x^2)/64 + (45*x^3)/128 + (135*x^4)/128 - 1/96)/((2*x^4)/3 + x^5) - (405*atanh(3*x + 1))/128","B"
266,1,29,39,0.125230,"\text{Not used}","int(1/(x*(6*x + 4)^3),x)","\frac{1}{32\,\left(3\,x+2\right)}-\frac{\ln\left(\frac{6\,x+4}{x}\right)}{64}+\frac{1}{8\,{\left(6\,x+4\right)}^2}","Not used",1,"1/(32*(3*x + 2)) - log((6*x + 4)/x)/64 + 1/(8*(6*x + 4)^2)","B"
267,1,35,46,0.091700,"\text{Not used}","int(1/(x^2*(6*x + 4)^3),x)","\frac{9\,\mathrm{atanh}\left(3\,x+1\right)}{64}-\frac{\frac{3\,x^2}{64}+\frac{3\,x}{64}+\frac{1}{144}}{x^3+\frac{4\,x^2}{3}+\frac{4\,x}{9}}","Not used",1,"(9*atanh(3*x + 1))/64 - ((3*x)/64 + (3*x^2)/64 + 1/144)/((4*x)/9 + (4*x^2)/3 + x^3)","B"
268,1,41,53,0.094038,"\text{Not used}","int(1/(x^3*(6*x + 4)^3),x)","\frac{\frac{9\,x^3}{64}+\frac{9\,x^2}{64}+\frac{x}{48}-\frac{1}{288}}{x^4+\frac{4\,x^3}{3}+\frac{4\,x^2}{9}}-\frac{27\,\mathrm{atanh}\left(3\,x+1\right)}{64}","Not used",1,"(x/48 + (9*x^2)/64 + (9*x^3)/64 - 1/288)/((4*x^2)/9 + (4*x^3)/3 + x^4) - (27*atanh(3*x + 1))/64","B"
269,1,47,60,0.045913,"\text{Not used}","int(1/(x^4*(6*x + 4)^3),x)","\frac{135\,\mathrm{atanh}\left(3\,x+1\right)}{128}-\frac{\frac{45\,x^4}{128}+\frac{45\,x^3}{128}+\frac{5\,x^2}{96}-\frac{5\,x}{576}+\frac{1}{432}}{x^5+\frac{4\,x^4}{3}+\frac{4\,x^3}{9}}","Not used",1,"(135*atanh(3*x + 1))/128 - ((5*x^2)/96 - (5*x)/576 + (45*x^3)/128 + (45*x^4)/128 + 1/432)/((4*x^3)/9 + (4*x^4)/3 + x^5)","B"
270,1,51,67,0.046747,"\text{Not used}","int(1/(x^5*(6*x + 4)^3),x)","\frac{\frac{405\,x^5}{512}+\frac{405\,x^4}{512}+\frac{15\,x^3}{128}-\frac{5\,x^2}{256}+\frac{x}{192}-\frac{1}{576}}{x^6+\frac{4\,x^5}{3}+\frac{4\,x^4}{9}}-\frac{1215\,\mathrm{atanh}\left(3\,x+1\right)}{512}","Not used",1,"(x/192 - (5*x^2)/256 + (15*x^3)/128 + (405*x^4)/512 + (405*x^5)/512 - 1/576)/((4*x^4)/9 + (4*x^5)/3 + x^6) - (1215*atanh(3*x + 1))/512","B"
271,1,6,8,0.150885,"\text{Not used}","int(1/(2*x + 2),x)","\frac{\ln\left(x+1\right)}{2}","Not used",1,"log(x + 1)/2","B"
272,1,6,10,0.076942,"\text{Not used}","int(-1/(6*x - 4),x)","-\frac{\ln\left(x-\frac{2}{3}\right)}{6}","Not used",1,"-log(x - 2/3)/6","B"
273,1,10,14,0.105200,"\text{Not used}","int(1/(a + a^(1/2)*x),x)","\frac{\ln\left(x+\sqrt{a}\right)}{\sqrt{a}}","Not used",1,"log(x + a^(1/2))/a^(1/2)","B"
274,1,16,20,0.108244,"\text{Not used}","int(1/(a + (-a)^(1/2)*x),x)","\frac{\ln\left(x-\sqrt{-a}\right)}{\sqrt{-a}}","Not used",1,"log(x - (-a)^(1/2))/(-a)^(1/2)","B"
275,1,14,22,0.051844,"\text{Not used}","int(1/(a^2 + (-a)^(1/2)*x),x)","\frac{\ln\left(x+{\left(-a\right)}^{3/2}\right)}{\sqrt{-a}}","Not used",1,"log(x + (-a)^(3/2))/(-a)^(1/2)","B"
276,1,16,22,0.057258,"\text{Not used}","int(1/(a^3 + (-a)^(1/2)*x),x)","\frac{\ln\left(x-{\left(-a\right)}^{5/2}\right)}{\sqrt{-a}}","Not used",1,"log(x - (-a)^(5/2))/(-a)^(1/2)","B"
277,1,16,21,0.151967,"\text{Not used}","int(1/(1/a + (-a)^(1/2)*x),x)","\frac{\ln\left(x-\frac{1}{{\left(-a\right)}^{3/2}}\right)}{\sqrt{-a}}","Not used",1,"log(x - 1/(-a)^(3/2))/(-a)^(1/2)","B"
278,1,14,20,0.175270,"\text{Not used}","int(1/(1/a^2 + (-a)^(1/2)*x),x)","\frac{\ln\left(x+\frac{1}{{\left(-a\right)}^{5/2}}\right)}{\sqrt{-a}}","Not used",1,"log(x + 1/(-a)^(5/2))/(-a)^(1/2)","B"
279,1,9,11,0.097425,"\text{Not used}","int(1/(x*(b*x + 1)),x)","-2\,\mathrm{atanh}\left(2\,b\,x+1\right)","Not used",1,"-2*atanh(2*b*x + 1)","B"
280,1,9,12,0.035545,"\text{Not used}","int(1/(x*(b*x - 1)),x)","-2\,\mathrm{atanh}\left(2\,b\,x-1\right)","Not used",1,"-2*atanh(2*b*x - 1)","B"
281,1,16,19,0.043263,"\text{Not used}","int(1/(x^2*(b*x + 1)),x)","2\,b\,\mathrm{atanh}\left(2\,b\,x+1\right)-\frac{1}{x}","Not used",1,"2*b*atanh(2*b*x + 1) - 1/x","B"
282,1,14,18,0.029150,"\text{Not used}","int(1/(x^2*(b*x - 1)),x)","\frac{1}{x}-2\,b\,\mathrm{atanh}\left(2\,b\,x-1\right)","Not used",1,"1/x - 2*b*atanh(2*b*x - 1)","B"
283,1,20,14,0.036272,"\text{Not used}","int(1/(x^2*(b*x + 1)) + b/x,x)","b\,\ln\left(x\right)+2\,b\,\mathrm{atanh}\left(2\,b\,x+1\right)-\frac{1}{x}","Not used",1,"b*log(x) + 2*b*atanh(2*b*x + 1) - 1/x","B"
284,1,56,72,0.050497,"\text{Not used}","int(x^3*(a + b*x)^(1/2),x)","\frac{2\,{\left(a+b\,x\right)}^{9/2}}{9\,b^4}-\frac{2\,a^3\,{\left(a+b\,x\right)}^{3/2}}{3\,b^4}+\frac{6\,a^2\,{\left(a+b\,x\right)}^{5/2}}{5\,b^4}-\frac{6\,a\,{\left(a+b\,x\right)}^{7/2}}{7\,b^4}","Not used",1,"(2*(a + b*x)^(9/2))/(9*b^4) - (2*a^3*(a + b*x)^(3/2))/(3*b^4) + (6*a^2*(a + b*x)^(5/2))/(5*b^4) - (6*a*(a + b*x)^(7/2))/(7*b^4)","B"
285,1,37,53,0.046336,"\text{Not used}","int(x^2*(a + b*x)^(1/2),x)","\frac{30\,{\left(a+b\,x\right)}^{7/2}-84\,a\,{\left(a+b\,x\right)}^{5/2}+70\,a^2\,{\left(a+b\,x\right)}^{3/2}}{105\,b^3}","Not used",1,"(30*(a + b*x)^(7/2) - 84*a*(a + b*x)^(5/2) + 70*a^2*(a + b*x)^(3/2))/(105*b^3)","B"
286,1,25,34,0.027727,"\text{Not used}","int(x*(a + b*x)^(1/2),x)","-\frac{10\,a\,{\left(a+b\,x\right)}^{3/2}-6\,{\left(a+b\,x\right)}^{5/2}}{15\,b^2}","Not used",1,"-(10*a*(a + b*x)^(3/2) - 6*(a + b*x)^(5/2))/(15*b^2)","B"
287,1,12,16,0.021445,"\text{Not used}","int((a + b*x)^(1/2),x)","\frac{2\,{\left(a+b\,x\right)}^{3/2}}{3\,b}","Not used",1,"(2*(a + b*x)^(3/2))/(3*b)","B"
288,1,27,35,0.094283,"\text{Not used}","int((a + b*x)^(1/2)/x,x)","2\,\sqrt{a+b\,x}-2\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)","Not used",1,"2*(a + b*x)^(1/2) - 2*a^(1/2)*atanh((a + b*x)^(1/2)/a^(1/2))","B"
289,1,31,39,0.052647,"\text{Not used}","int((a + b*x)^(1/2)/x^2,x)","-\frac{\sqrt{a+b\,x}}{x}-\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"- (a + b*x)^(1/2)/x - (b*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(1/2)","B"
290,1,48,65,0.067639,"\text{Not used}","int((a + b*x)^(1/2)/x^3,x)","\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{4\,a^{3/2}}-\frac{{\left(a+b\,x\right)}^{3/2}}{4\,a\,x^2}-\frac{\sqrt{a+b\,x}}{4\,x^2}","Not used",1,"(b^2*atanh((a + b*x)^(1/2)/a^(1/2)))/(4*a^(3/2)) - (a + b*x)^(3/2)/(4*a*x^2) - (a + b*x)^(1/2)/(4*x^2)","B"
291,1,66,87,0.106983,"\text{Not used}","int((a + b*x)^(1/2)/x^4,x)","\frac{{\left(a+b\,x\right)}^{5/2}}{8\,a^2\,x^3}-\frac{{\left(a+b\,x\right)}^{3/2}}{3\,a\,x^3}-\frac{\sqrt{a+b\,x}}{8\,x^3}+\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{8\,a^{5/2}}","Not used",1,"(a + b*x)^(5/2)/(8*a^2*x^3) - (a + b*x)^(3/2)/(3*a*x^3) - (a + b*x)^(1/2)/(8*x^3) + (b^3*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*1i)/(8*a^(5/2))","B"
292,1,56,72,0.047957,"\text{Not used}","int(x^3*(a + b*x)^(3/2),x)","\frac{2\,{\left(a+b\,x\right)}^{11/2}}{11\,b^4}-\frac{2\,a^3\,{\left(a+b\,x\right)}^{5/2}}{5\,b^4}+\frac{6\,a^2\,{\left(a+b\,x\right)}^{7/2}}{7\,b^4}-\frac{2\,a\,{\left(a+b\,x\right)}^{9/2}}{3\,b^4}","Not used",1,"(2*(a + b*x)^(11/2))/(11*b^4) - (2*a^3*(a + b*x)^(5/2))/(5*b^4) + (6*a^2*(a + b*x)^(7/2))/(7*b^4) - (2*a*(a + b*x)^(9/2))/(3*b^4)","B"
293,1,37,53,0.040504,"\text{Not used}","int(x^2*(a + b*x)^(3/2),x)","\frac{70\,{\left(a+b\,x\right)}^{9/2}-180\,a\,{\left(a+b\,x\right)}^{7/2}+126\,a^2\,{\left(a+b\,x\right)}^{5/2}}{315\,b^3}","Not used",1,"(70*(a + b*x)^(9/2) - 180*a*(a + b*x)^(7/2) + 126*a^2*(a + b*x)^(5/2))/(315*b^3)","B"
294,1,25,34,0.025973,"\text{Not used}","int(x*(a + b*x)^(3/2),x)","-\frac{14\,a\,{\left(a+b\,x\right)}^{5/2}-10\,{\left(a+b\,x\right)}^{7/2}}{35\,b^2}","Not used",1,"-(14*a*(a + b*x)^(5/2) - 10*(a + b*x)^(7/2))/(35*b^2)","B"
295,1,12,16,0.016418,"\text{Not used}","int((a + b*x)^(3/2),x)","\frac{2\,{\left(a+b\,x\right)}^{5/2}}{5\,b}","Not used",1,"(2*(a + b*x)^(5/2))/(5*b)","B"
296,1,37,49,0.041746,"\text{Not used}","int((a + b*x)^(3/2)/x,x)","2\,a\,\sqrt{a+b\,x}+\frac{2\,{\left(a+b\,x\right)}^{3/2}}{3}-2\,a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)","Not used",1,"2*a*(a + b*x)^(1/2) + (2*(a + b*x)^(3/2))/3 - 2*a^(3/2)*atanh((a + b*x)^(1/2)/a^(1/2))","B"
297,1,42,51,0.099827,"\text{Not used}","int((a + b*x)^(3/2)/x^2,x)","2\,b\,\sqrt{a+b\,x}-3\,\sqrt{a}\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)-\frac{a\,\sqrt{a+b\,x}}{x}","Not used",1,"2*b*(a + b*x)^(1/2) - 3*a^(1/2)*b*atanh((a + b*x)^(1/2)/a^(1/2)) - (a*(a + b*x)^(1/2))/x","B"
298,1,46,62,0.056976,"\text{Not used}","int((a + b*x)^(3/2)/x^3,x)","\frac{3\,a\,\sqrt{a+b\,x}}{4\,x^2}-\frac{3\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{4\,\sqrt{a}}-\frac{5\,{\left(a+b\,x\right)}^{3/2}}{4\,x^2}","Not used",1,"(3*a*(a + b*x)^(1/2))/(4*x^2) - (3*b^2*atanh((a + b*x)^(1/2)/a^(1/2)))/(4*a^(1/2)) - (5*(a + b*x)^(3/2))/(4*x^2)","B"
299,1,64,84,0.101503,"\text{Not used}","int((a + b*x)^(3/2)/x^4,x)","\frac{a\,\sqrt{a+b\,x}}{8\,x^3}-\frac{{\left(a+b\,x\right)}^{5/2}}{8\,a\,x^3}-\frac{{\left(a+b\,x\right)}^{3/2}}{3\,x^3}-\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{8\,a^{3/2}}","Not used",1,"(a*(a + b*x)^(1/2))/(8*x^3) - (a + b*x)^(5/2)/(8*a*x^3) - (b^3*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*1i)/(8*a^(3/2)) - (a + b*x)^(3/2)/(3*x^3)","B"
300,1,56,72,0.049931,"\text{Not used}","int(x^3*(a + b*x)^(5/2),x)","\frac{2\,{\left(a+b\,x\right)}^{13/2}}{13\,b^4}-\frac{2\,a^3\,{\left(a+b\,x\right)}^{7/2}}{7\,b^4}+\frac{2\,a^2\,{\left(a+b\,x\right)}^{9/2}}{3\,b^4}-\frac{6\,a\,{\left(a+b\,x\right)}^{11/2}}{11\,b^4}","Not used",1,"(2*(a + b*x)^(13/2))/(13*b^4) - (2*a^3*(a + b*x)^(7/2))/(7*b^4) + (2*a^2*(a + b*x)^(9/2))/(3*b^4) - (6*a*(a + b*x)^(11/2))/(11*b^4)","B"
301,1,37,53,0.044447,"\text{Not used}","int(x^2*(a + b*x)^(5/2),x)","\frac{126\,{\left(a+b\,x\right)}^{11/2}-308\,a\,{\left(a+b\,x\right)}^{9/2}+198\,a^2\,{\left(a+b\,x\right)}^{7/2}}{693\,b^3}","Not used",1,"(126*(a + b*x)^(11/2) - 308*a*(a + b*x)^(9/2) + 198*a^2*(a + b*x)^(7/2))/(693*b^3)","B"
302,1,25,34,0.027651,"\text{Not used}","int(x*(a + b*x)^(5/2),x)","-\frac{18\,a\,{\left(a+b\,x\right)}^{7/2}-14\,{\left(a+b\,x\right)}^{9/2}}{63\,b^2}","Not used",1,"-(18*a*(a + b*x)^(7/2) - 14*(a + b*x)^(9/2))/(63*b^2)","B"
303,1,12,16,0.017528,"\text{Not used}","int((a + b*x)^(5/2),x)","\frac{2\,{\left(a+b\,x\right)}^{7/2}}{7\,b}","Not used",1,"(2*(a + b*x)^(7/2))/(7*b)","B"
304,1,52,65,0.052563,"\text{Not used}","int((a + b*x)^(5/2)/x,x)","\frac{2\,a\,{\left(a+b\,x\right)}^{3/2}}{3}+\frac{2\,{\left(a+b\,x\right)}^{5/2}}{5}+2\,a^2\,\sqrt{a+b\,x}+a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,2{}\mathrm{i}","Not used",1,"(2*a*(a + b*x)^(3/2))/3 + (2*(a + b*x)^(5/2))/5 + 2*a^2*(a + b*x)^(1/2) + a^(5/2)*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*2i","B"
305,1,58,66,0.114699,"\text{Not used}","int((a + b*x)^(5/2)/x^2,x)","\frac{2\,b\,{\left(a+b\,x\right)}^{3/2}}{3}-\frac{a^2\,\sqrt{a+b\,x}}{x}+4\,a\,b\,\sqrt{a+b\,x}+a^{3/2}\,b\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}","Not used",1,"(2*b*(a + b*x)^(3/2))/3 - (a^2*(a + b*x)^(1/2))/x + a^(3/2)*b*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*5i + 4*a*b*(a + b*x)^(1/2)","B"
306,1,64,78,0.053380,"\text{Not used}","int((a + b*x)^(5/2)/x^3,x)","2\,b^2\,\sqrt{a+b\,x}+\frac{7\,a^2\,\sqrt{a+b\,x}}{4\,x^2}-\frac{9\,a\,{\left(a+b\,x\right)}^{3/2}}{4\,x^2}+\frac{\sqrt{a}\,b^2\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,15{}\mathrm{i}}{4}","Not used",1,"2*b^2*(a + b*x)^(1/2) + (7*a^2*(a + b*x)^(1/2))/(4*x^2) + (a^(1/2)*b^2*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*15i)/4 - (9*a*(a + b*x)^(3/2))/(4*x^2)","B"
307,1,64,81,0.046200,"\text{Not used}","int((a + b*x)^(5/2)/x^4,x)","\frac{5\,a\,{\left(a+b\,x\right)}^{3/2}}{3\,x^3}-\frac{5\,a^2\,\sqrt{a+b\,x}}{8\,x^3}-\frac{11\,{\left(a+b\,x\right)}^{5/2}}{8\,x^3}+\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{8\,\sqrt{a}}","Not used",1,"(b^3*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*5i)/(8*a^(1/2)) - (5*a^2*(a + b*x)^(1/2))/(8*x^3) - (11*(a + b*x)^(5/2))/(8*x^3) + (5*a*(a + b*x)^(3/2))/(3*x^3)","B"
308,1,79,103,0.111393,"\text{Not used}","int((a + b*x)^(5/2)/x^5,x)","\frac{55\,a\,{\left(a+b\,x\right)}^{3/2}}{192\,x^4}-\frac{5\,a^2\,\sqrt{a+b\,x}}{64\,x^4}-\frac{5\,{\left(a+b\,x\right)}^{7/2}}{64\,a\,x^4}-\frac{73\,{\left(a+b\,x\right)}^{5/2}}{192\,x^4}-\frac{b^4\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{64\,a^{3/2}}","Not used",1,"(55*a*(a + b*x)^(3/2))/(192*x^4) - (5*a^2*(a + b*x)^(1/2))/(64*x^4) - (5*(a + b*x)^(7/2))/(64*a*x^4) - (b^4*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*5i)/(64*a^(3/2)) - (73*(a + b*x)^(5/2))/(192*x^4)","B"
309,1,116,146,0.035936,"\text{Not used}","int(x^7*(a + b*x)^(9/2),x)","\frac{2\,{\left(a+b\,x\right)}^{25/2}}{25\,b^8}-\frac{2\,a^7\,{\left(a+b\,x\right)}^{11/2}}{11\,b^8}+\frac{14\,a^6\,{\left(a+b\,x\right)}^{13/2}}{13\,b^8}-\frac{14\,a^5\,{\left(a+b\,x\right)}^{15/2}}{5\,b^8}+\frac{70\,a^4\,{\left(a+b\,x\right)}^{17/2}}{17\,b^8}-\frac{70\,a^3\,{\left(a+b\,x\right)}^{19/2}}{19\,b^8}+\frac{2\,a^2\,{\left(a+b\,x\right)}^{21/2}}{b^8}-\frac{14\,a\,{\left(a+b\,x\right)}^{23/2}}{23\,b^8}","Not used",1,"(2*(a + b*x)^(25/2))/(25*b^8) - (2*a^7*(a + b*x)^(11/2))/(11*b^8) + (14*a^6*(a + b*x)^(13/2))/(13*b^8) - (14*a^5*(a + b*x)^(15/2))/(5*b^8) + (70*a^4*(a + b*x)^(17/2))/(17*b^8) - (70*a^3*(a + b*x)^(19/2))/(19*b^8) + (2*a^2*(a + b*x)^(21/2))/b^8 - (14*a*(a + b*x)^(23/2))/(23*b^8)","B"
310,1,101,127,0.031396,"\text{Not used}","int(x^6*(a + b*x)^(9/2),x)","\frac{2\,{\left(a+b\,x\right)}^{23/2}}{23\,b^7}+\frac{2\,a^6\,{\left(a+b\,x\right)}^{11/2}}{11\,b^7}-\frac{12\,a^5\,{\left(a+b\,x\right)}^{13/2}}{13\,b^7}+\frac{2\,a^4\,{\left(a+b\,x\right)}^{15/2}}{b^7}-\frac{40\,a^3\,{\left(a+b\,x\right)}^{17/2}}{17\,b^7}+\frac{30\,a^2\,{\left(a+b\,x\right)}^{19/2}}{19\,b^7}-\frac{4\,a\,{\left(a+b\,x\right)}^{21/2}}{7\,b^7}","Not used",1,"(2*(a + b*x)^(23/2))/(23*b^7) + (2*a^6*(a + b*x)^(11/2))/(11*b^7) - (12*a^5*(a + b*x)^(13/2))/(13*b^7) + (2*a^4*(a + b*x)^(15/2))/b^7 - (40*a^3*(a + b*x)^(17/2))/(17*b^7) + (30*a^2*(a + b*x)^(19/2))/(19*b^7) - (4*a*(a + b*x)^(21/2))/(7*b^7)","B"
311,1,86,110,0.026681,"\text{Not used}","int(x^5*(a + b*x)^(9/2),x)","\frac{2\,{\left(a+b\,x\right)}^{21/2}}{21\,b^6}-\frac{2\,a^5\,{\left(a+b\,x\right)}^{11/2}}{11\,b^6}+\frac{10\,a^4\,{\left(a+b\,x\right)}^{13/2}}{13\,b^6}-\frac{4\,a^3\,{\left(a+b\,x\right)}^{15/2}}{3\,b^6}+\frac{20\,a^2\,{\left(a+b\,x\right)}^{17/2}}{17\,b^6}-\frac{10\,a\,{\left(a+b\,x\right)}^{19/2}}{19\,b^6}","Not used",1,"(2*(a + b*x)^(21/2))/(21*b^6) - (2*a^5*(a + b*x)^(11/2))/(11*b^6) + (10*a^4*(a + b*x)^(13/2))/(13*b^6) - (4*a^3*(a + b*x)^(15/2))/(3*b^6) + (20*a^2*(a + b*x)^(17/2))/(17*b^6) - (10*a*(a + b*x)^(19/2))/(19*b^6)","B"
312,1,71,91,0.024679,"\text{Not used}","int(x^4*(a + b*x)^(9/2),x)","\frac{2\,{\left(a+b\,x\right)}^{19/2}}{19\,b^5}+\frac{2\,a^4\,{\left(a+b\,x\right)}^{11/2}}{11\,b^5}-\frac{8\,a^3\,{\left(a+b\,x\right)}^{13/2}}{13\,b^5}+\frac{4\,a^2\,{\left(a+b\,x\right)}^{15/2}}{5\,b^5}-\frac{8\,a\,{\left(a+b\,x\right)}^{17/2}}{17\,b^5}","Not used",1,"(2*(a + b*x)^(19/2))/(19*b^5) + (2*a^4*(a + b*x)^(11/2))/(11*b^5) - (8*a^3*(a + b*x)^(13/2))/(13*b^5) + (4*a^2*(a + b*x)^(15/2))/(5*b^5) - (8*a*(a + b*x)^(17/2))/(17*b^5)","B"
313,1,56,72,0.044503,"\text{Not used}","int(x^3*(a + b*x)^(9/2),x)","\frac{2\,{\left(a+b\,x\right)}^{17/2}}{17\,b^4}-\frac{2\,a^3\,{\left(a+b\,x\right)}^{11/2}}{11\,b^4}+\frac{6\,a^2\,{\left(a+b\,x\right)}^{13/2}}{13\,b^4}-\frac{2\,a\,{\left(a+b\,x\right)}^{15/2}}{5\,b^4}","Not used",1,"(2*(a + b*x)^(17/2))/(17*b^4) - (2*a^3*(a + b*x)^(11/2))/(11*b^4) + (6*a^2*(a + b*x)^(13/2))/(13*b^4) - (2*a*(a + b*x)^(15/2))/(5*b^4)","B"
314,1,36,53,0.039688,"\text{Not used}","int(x^2*(a + b*x)^(9/2),x)","\frac{\frac{2\,{\left(a+b\,x\right)}^{15/2}}{15}-\frac{4\,a\,{\left(a+b\,x\right)}^{13/2}}{13}+\frac{2\,a^2\,{\left(a+b\,x\right)}^{11/2}}{11}}{b^3}","Not used",1,"((2*(a + b*x)^(15/2))/15 - (4*a*(a + b*x)^(13/2))/13 + (2*a^2*(a + b*x)^(11/2))/11)/b^3","B"
315,1,25,34,0.030338,"\text{Not used}","int(x*(a + b*x)^(9/2),x)","-\frac{26\,a\,{\left(a+b\,x\right)}^{11/2}-22\,{\left(a+b\,x\right)}^{13/2}}{143\,b^2}","Not used",1,"-(26*a*(a + b*x)^(11/2) - 22*(a + b*x)^(13/2))/(143*b^2)","B"
316,1,12,16,0.018096,"\text{Not used}","int((a + b*x)^(9/2),x)","\frac{2\,{\left(a+b\,x\right)}^{11/2}}{11\,b}","Not used",1,"(2*(a + b*x)^(11/2))/(11*b)","B"
317,1,76,97,0.037011,"\text{Not used}","int((a + b*x)^(9/2)/x,x)","\frac{2\,a\,{\left(a+b\,x\right)}^{7/2}}{7}+\frac{2\,{\left(a+b\,x\right)}^{9/2}}{9}+2\,a^4\,\sqrt{a+b\,x}+\frac{2\,a^3\,{\left(a+b\,x\right)}^{3/2}}{3}+\frac{2\,a^2\,{\left(a+b\,x\right)}^{5/2}}{5}+a^{9/2}\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,2{}\mathrm{i}","Not used",1,"(2*a*(a + b*x)^(7/2))/7 + (2*(a + b*x)^(9/2))/9 + 2*a^4*(a + b*x)^(1/2) + (2*a^3*(a + b*x)^(3/2))/3 + (2*a^2*(a + b*x)^(5/2))/5 + a^(9/2)*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*2i","B"
318,1,84,98,0.042872,"\text{Not used}","int((a + b*x)^(9/2)/x^2,x)","\frac{2\,b\,{\left(a+b\,x\right)}^{7/2}}{7}-\frac{a^4\,\sqrt{a+b\,x}}{x}+\frac{4\,a\,b\,{\left(a+b\,x\right)}^{5/2}}{5}+8\,a^3\,b\,\sqrt{a+b\,x}+2\,a^2\,b\,{\left(a+b\,x\right)}^{3/2}+a^{7/2}\,b\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,9{}\mathrm{i}","Not used",1,"(2*b*(a + b*x)^(7/2))/7 - (a^4*(a + b*x)^(1/2))/x + a^(7/2)*b*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*9i + (4*a*b*(a + b*x)^(5/2))/5 + 8*a^3*b*(a + b*x)^(1/2) + 2*a^2*b*(a + b*x)^(3/2)","B"
319,1,117,114,0.046609,"\text{Not used}","int((a + b*x)^(9/2)/x^3,x)","\frac{2\,b^2\,{\left(a+b\,x\right)}^{5/2}}{5}+\frac{\frac{15\,a^4\,b^2\,\sqrt{a+b\,x}}{4}-\frac{17\,a^3\,b^2\,{\left(a+b\,x\right)}^{3/2}}{4}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}+12\,a^2\,b^2\,\sqrt{a+b\,x}+2\,a\,b^2\,{\left(a+b\,x\right)}^{3/2}+\frac{a^{5/2}\,b^2\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,63{}\mathrm{i}}{4}","Not used",1,"(2*b^2*(a + b*x)^(5/2))/5 + ((15*a^4*b^2*(a + b*x)^(1/2))/4 - (17*a^3*b^2*(a + b*x)^(3/2))/4)/((a + b*x)^2 - 2*a*(a + b*x) + a^2) + 12*a^2*b^2*(a + b*x)^(1/2) + (a^(5/2)*b^2*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*63i)/4 + 2*a*b^2*(a + b*x)^(3/2)","B"
320,1,131,114,0.120550,"\text{Not used}","int((a + b*x)^(9/2)/x^4,x)","\frac{2\,b^3\,{\left(a+b\,x\right)}^{3/2}}{3}+\frac{\frac{41\,a^4\,b^3\,\sqrt{a+b\,x}}{8}-\frac{35\,a^3\,b^3\,{\left(a+b\,x\right)}^{3/2}}{3}+\frac{55\,a^2\,b^3\,{\left(a+b\,x\right)}^{5/2}}{8}}{3\,a\,{\left(a+b\,x\right)}^2-3\,a^2\,\left(a+b\,x\right)-{\left(a+b\,x\right)}^3+a^3}+8\,a\,b^3\,\sqrt{a+b\,x}+\frac{a^{3/2}\,b^3\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,105{}\mathrm{i}}{8}","Not used",1,"(2*b^3*(a + b*x)^(3/2))/3 + ((41*a^4*b^3*(a + b*x)^(1/2))/8 - (35*a^3*b^3*(a + b*x)^(3/2))/3 + (55*a^2*b^3*(a + b*x)^(5/2))/8)/(3*a*(a + b*x)^2 - 3*a^2*(a + b*x) - (a + b*x)^3 + a^3) + (a^(3/2)*b^3*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*105i)/8 + 8*a*b^3*(a + b*x)^(1/2)","B"
321,1,94,116,0.062462,"\text{Not used}","int((a + b*x)^(9/2)/x^5,x)","2\,b^4\,\sqrt{a+b\,x}+\frac{187\,a^4\,\sqrt{a+b\,x}}{64\,x^4}-\frac{643\,a^3\,{\left(a+b\,x\right)}^{3/2}}{64\,x^4}+\frac{765\,a^2\,{\left(a+b\,x\right)}^{5/2}}{64\,x^4}-\frac{325\,a\,{\left(a+b\,x\right)}^{7/2}}{64\,x^4}+\frac{\sqrt{a}\,b^4\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,315{}\mathrm{i}}{64}","Not used",1,"2*b^4*(a + b*x)^(1/2) + (187*a^4*(a + b*x)^(1/2))/(64*x^4) - (643*a^3*(a + b*x)^(3/2))/(64*x^4) + (765*a^2*(a + b*x)^(5/2))/(64*x^4) + (a^(1/2)*b^4*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*315i)/64 - (325*a*(a + b*x)^(7/2))/(64*x^4)","B"
322,1,94,119,0.118931,"\text{Not used}","int((a + b*x)^(9/2)/x^6,x)","\frac{147\,a^3\,{\left(a+b\,x\right)}^{3/2}}{64\,x^5}-\frac{63\,a^4\,\sqrt{a+b\,x}}{128\,x^5}-\frac{193\,{\left(a+b\,x\right)}^{9/2}}{128\,x^5}-\frac{21\,a^2\,{\left(a+b\,x\right)}^{5/2}}{5\,x^5}+\frac{237\,a\,{\left(a+b\,x\right)}^{7/2}}{64\,x^5}+\frac{b^5\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,63{}\mathrm{i}}{128\,\sqrt{a}}","Not used",1,"(147*a^3*(a + b*x)^(3/2))/(64*x^5) - (63*a^4*(a + b*x)^(1/2))/(128*x^5) - (193*(a + b*x)^(9/2))/(128*x^5) - (21*a^2*(a + b*x)^(5/2))/(5*x^5) + (b^5*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*63i)/(128*a^(1/2)) + (237*a*(a + b*x)^(7/2))/(64*x^5)","B"
323,1,109,141,0.133393,"\text{Not used}","int((a + b*x)^(9/2)/x^7,x)","\frac{119\,a^3\,{\left(a+b\,x\right)}^{3/2}}{512\,x^6}-\frac{21\,a^4\,\sqrt{a+b\,x}}{512\,x^6}-\frac{667\,{\left(a+b\,x\right)}^{9/2}}{1536\,x^6}-\frac{693\,a^2\,{\left(a+b\,x\right)}^{5/2}}{1280\,x^6}-\frac{21\,{\left(a+b\,x\right)}^{11/2}}{512\,a\,x^6}+\frac{843\,a\,{\left(a+b\,x\right)}^{7/2}}{1280\,x^6}-\frac{b^6\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,21{}\mathrm{i}}{512\,a^{3/2}}","Not used",1,"(119*a^3*(a + b*x)^(3/2))/(512*x^6) - (21*a^4*(a + b*x)^(1/2))/(512*x^6) - (667*(a + b*x)^(9/2))/(1536*x^6) - (693*a^2*(a + b*x)^(5/2))/(1280*x^6) - (21*(a + b*x)^(11/2))/(512*a*x^6) - (b^6*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*21i)/(512*a^(3/2)) + (843*a*(a + b*x)^(7/2))/(1280*x^6)","B"
324,1,124,163,0.126415,"\text{Not used}","int((a + b*x)^(9/2)/x^8,x)","\frac{15\,a^3\,{\left(a+b\,x\right)}^{3/2}}{256\,x^7}-\frac{9\,a^4\,\sqrt{a+b\,x}}{1024\,x^7}-\frac{1199\,{\left(a+b\,x\right)}^{9/2}}{5120\,x^7}-\frac{849\,a^2\,{\left(a+b\,x\right)}^{5/2}}{5120\,x^7}-\frac{15\,{\left(a+b\,x\right)}^{11/2}}{256\,a\,x^7}+\frac{9\,{\left(a+b\,x\right)}^{13/2}}{1024\,a^2\,x^7}+\frac{9\,a\,{\left(a+b\,x\right)}^{7/2}}{35\,x^7}+\frac{b^7\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,9{}\mathrm{i}}{1024\,a^{5/2}}","Not used",1,"(15*a^3*(a + b*x)^(3/2))/(256*x^7) - (9*a^4*(a + b*x)^(1/2))/(1024*x^7) - (1199*(a + b*x)^(9/2))/(5120*x^7) - (849*a^2*(a + b*x)^(5/2))/(5120*x^7) - (15*(a + b*x)^(11/2))/(256*a*x^7) + (9*(a + b*x)^(13/2))/(1024*a^2*x^7) + (b^7*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*9i)/(1024*a^(5/2)) + (9*a*(a + b*x)^(7/2))/(35*x^7)","B"
325,1,31,39,0.094002,"\text{Not used}","int((b*x - a)^(1/2)/x,x)","2\,\sqrt{b\,x-a}-2\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)","Not used",1,"2*(b*x - a)^(1/2) - 2*a^(1/2)*atan((b*x - a)^(1/2)/a^(1/2))","B"
326,1,34,42,0.097388,"\text{Not used}","int((b*x - a)^(1/2)/x^2,x)","\frac{b\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{\sqrt{a}}-\frac{\sqrt{b\,x-a}}{x}","Not used",1,"(b*atan((b*x - a)^(1/2)/a^(1/2)))/a^(1/2) - (b*x - a)^(1/2)/x","B"
327,1,54,71,0.102840,"\text{Not used}","int((b*x - a)^(1/2)/x^3,x)","\frac{b^2\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{4\,a^{3/2}}-\frac{\sqrt{b\,x-a}}{4\,x^2}+\frac{{\left(b\,x-a\right)}^{3/2}}{4\,a\,x^2}","Not used",1,"(b^2*atan((b*x - a)^(1/2)/a^(1/2)))/(4*a^(3/2)) - (b*x - a)^(1/2)/(4*x^2) + (b*x - a)^(3/2)/(4*a*x^2)","B"
328,1,43,55,0.040546,"\text{Not used}","int((b*x - a)^(3/2)/x,x)","2\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)-2\,a\,\sqrt{b\,x-a}+\frac{2\,{\left(b\,x-a\right)}^{3/2}}{3}","Not used",1,"2*a^(3/2)*atan((b*x - a)^(1/2)/a^(1/2)) - 2*a*(b*x - a)^(1/2) + (2*(b*x - a)^(3/2))/3","B"
329,1,47,57,0.044924,"\text{Not used}","int((b*x - a)^(3/2)/x^2,x)","2\,b\,\sqrt{b\,x-a}+\frac{a\,\sqrt{b\,x-a}}{x}-3\,\sqrt{a}\,b\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)","Not used",1,"2*b*(b*x - a)^(1/2) + (a*(b*x - a)^(1/2))/x - 3*a^(1/2)*b*atan((b*x - a)^(1/2)/a^(1/2))","B"
330,1,52,68,0.096589,"\text{Not used}","int((b*x - a)^(3/2)/x^3,x)","\frac{3\,b^2\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{4\,\sqrt{a}}-\frac{5\,{\left(b\,x-a\right)}^{3/2}}{4\,x^2}-\frac{3\,a\,\sqrt{b\,x-a}}{4\,x^2}","Not used",1,"(3*b^2*atan((b*x - a)^(1/2)/a^(1/2)))/(4*a^(1/2)) - (5*(b*x - a)^(3/2))/(4*x^2) - (3*a*(b*x - a)^(1/2))/(4*x^2)","B"
331,1,57,73,0.042783,"\text{Not used}","int((b*x - a)^(5/2)/x,x)","\frac{2\,{\left(b\,x-a\right)}^{5/2}}{5}-\frac{2\,a\,{\left(b\,x-a\right)}^{3/2}}{3}-2\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)+2\,a^2\,\sqrt{b\,x-a}","Not used",1,"(2*(b*x - a)^(5/2))/5 - (2*a*(b*x - a)^(3/2))/3 - 2*a^(5/2)*atan((b*x - a)^(1/2)/a^(1/2)) + 2*a^2*(b*x - a)^(1/2)","B"
332,1,63,74,0.102832,"\text{Not used}","int((b*x - a)^(5/2)/x^2,x)","\frac{2\,b\,{\left(b\,x-a\right)}^{3/2}}{3}-\frac{a^2\,\sqrt{b\,x-a}}{x}+5\,a^{3/2}\,b\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)-4\,a\,b\,\sqrt{b\,x-a}","Not used",1,"(2*b*(b*x - a)^(3/2))/3 - (a^2*(b*x - a)^(1/2))/x + 5*a^(3/2)*b*atan((b*x - a)^(1/2)/a^(1/2)) - 4*a*b*(b*x - a)^(1/2)","B"
333,1,69,86,0.094531,"\text{Not used}","int((b*x - a)^(5/2)/x^3,x)","2\,b^2\,\sqrt{b\,x-a}-\frac{15\,\sqrt{a}\,b^2\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{4}+\frac{9\,a\,{\left(b\,x-a\right)}^{3/2}}{4\,x^2}+\frac{7\,a^2\,\sqrt{b\,x-a}}{4\,x^2}","Not used",1,"2*b^2*(b*x - a)^(1/2) - (15*a^(1/2)*b^2*atan((b*x - a)^(1/2)/a^(1/2)))/4 + (9*a*(b*x - a)^(3/2))/(4*x^2) + (7*a^2*(b*x - a)^(1/2))/(4*x^2)","B"
334,1,71,89,0.023579,"\text{Not used}","int(x^4/(a + b*x)^(1/2),x)","\frac{2\,{\left(a+b\,x\right)}^{9/2}}{9\,b^5}+\frac{2\,a^4\,\sqrt{a+b\,x}}{b^5}-\frac{8\,a^3\,{\left(a+b\,x\right)}^{3/2}}{3\,b^5}+\frac{12\,a^2\,{\left(a+b\,x\right)}^{5/2}}{5\,b^5}-\frac{8\,a\,{\left(a+b\,x\right)}^{7/2}}{7\,b^5}","Not used",1,"(2*(a + b*x)^(9/2))/(9*b^5) + (2*a^4*(a + b*x)^(1/2))/b^5 - (8*a^3*(a + b*x)^(3/2))/(3*b^5) + (12*a^2*(a + b*x)^(5/2))/(5*b^5) - (8*a*(a + b*x)^(7/2))/(7*b^5)","B"
335,1,56,68,0.045525,"\text{Not used}","int(x^3/(a + b*x)^(1/2),x)","\frac{2\,{\left(a+b\,x\right)}^{7/2}}{7\,b^4}-\frac{2\,a^3\,\sqrt{a+b\,x}}{b^4}+\frac{2\,a^2\,{\left(a+b\,x\right)}^{3/2}}{b^4}-\frac{6\,a\,{\left(a+b\,x\right)}^{5/2}}{5\,b^4}","Not used",1,"(2*(a + b*x)^(7/2))/(7*b^4) - (2*a^3*(a + b*x)^(1/2))/b^4 + (2*a^2*(a + b*x)^(3/2))/b^4 - (6*a*(a + b*x)^(5/2))/(5*b^4)","B"
336,1,37,51,0.038059,"\text{Not used}","int(x^2/(a + b*x)^(1/2),x)","\frac{6\,{\left(a+b\,x\right)}^{5/2}-20\,a\,{\left(a+b\,x\right)}^{3/2}+30\,a^2\,\sqrt{a+b\,x}}{15\,b^3}","Not used",1,"(6*(a + b*x)^(5/2) - 20*a*(a + b*x)^(3/2) + 30*a^2*(a + b*x)^(1/2))/(15*b^3)","B"
337,1,25,32,0.027161,"\text{Not used}","int(x/(a + b*x)^(1/2),x)","-\frac{6\,a\,\sqrt{a+b\,x}-2\,{\left(a+b\,x\right)}^{3/2}}{3\,b^2}","Not used",1,"-(6*a*(a + b*x)^(1/2) - 2*(a + b*x)^(3/2))/(3*b^2)","B"
338,1,12,14,0.018198,"\text{Not used}","int(1/(a + b*x)^(1/2),x)","\frac{2\,\sqrt{a+b\,x}}{b}","Not used",1,"(2*(a + b*x)^(1/2))/b","B"
339,1,17,23,0.055334,"\text{Not used}","int(1/(x*(a + b*x)^(1/2)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"-(2*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(1/2)","B"
340,1,33,41,0.111222,"\text{Not used}","int(1/(x^2*(a + b*x)^(1/2)),x)","\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{a^{3/2}}-\frac{\sqrt{a+b\,x}}{a\,x}","Not used",1,"(b*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(3/2) - (a + b*x)^(1/2)/(a*x)","B"
341,1,51,68,0.060674,"\text{Not used}","int(1/(x^3*(a + b*x)^(1/2)),x)","\frac{3\,{\left(a+b\,x\right)}^{3/2}}{4\,a^2\,x^2}-\frac{5\,\sqrt{a+b\,x}}{4\,a\,x^2}-\frac{3\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{4\,a^{5/2}}","Not used",1,"(3*(a + b*x)^(3/2))/(4*a^2*x^2) - (5*(a + b*x)^(1/2))/(4*a*x^2) - (3*b^2*atanh((a + b*x)^(1/2)/a^(1/2)))/(4*a^(5/2))","B"
342,1,69,90,0.052108,"\text{Not used}","int(1/(x^4*(a + b*x)^(1/2)),x)","\frac{5\,{\left(a+b\,x\right)}^{3/2}}{3\,a^2\,x^3}-\frac{11\,\sqrt{a+b\,x}}{8\,a\,x^3}-\frac{5\,{\left(a+b\,x\right)}^{5/2}}{8\,a^3\,x^3}-\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{8\,a^{7/2}}","Not used",1,"(5*(a + b*x)^(3/2))/(3*a^2*x^3) - (11*(a + b*x)^(1/2))/(8*a*x^3) - (5*(a + b*x)^(5/2))/(8*a^3*x^3) - (b^3*atan(((a + b*x)^(1/2)*1i)/a^(1/2))*5i)/(8*a^(7/2))","B"
343,1,71,85,0.027877,"\text{Not used}","int(x^4/(a + b*x)^(3/2),x)","\frac{2\,{\left(a+b\,x\right)}^{7/2}}{7\,b^5}-\frac{8\,a^3\,\sqrt{a+b\,x}}{b^5}+\frac{4\,a^2\,{\left(a+b\,x\right)}^{3/2}}{b^5}-\frac{2\,a^4}{b^5\,\sqrt{a+b\,x}}-\frac{8\,a\,{\left(a+b\,x\right)}^{5/2}}{5\,b^5}","Not used",1,"(2*(a + b*x)^(7/2))/(7*b^5) - (8*a^3*(a + b*x)^(1/2))/b^5 + (4*a^2*(a + b*x)^(3/2))/b^5 - (2*a^4)/(b^5*(a + b*x)^(1/2)) - (8*a*(a + b*x)^(5/2))/(5*b^5)","B"
344,1,56,66,0.047502,"\text{Not used}","int(x^3/(a + b*x)^(3/2),x)","\frac{2\,{\left(a+b\,x\right)}^{5/2}}{5\,b^4}+\frac{6\,a^2\,\sqrt{a+b\,x}}{b^4}+\frac{2\,a^3}{b^4\,\sqrt{a+b\,x}}-\frac{2\,a\,{\left(a+b\,x\right)}^{3/2}}{b^4}","Not used",1,"(2*(a + b*x)^(5/2))/(5*b^4) + (6*a^2*(a + b*x)^(1/2))/b^4 + (2*a^3)/(b^4*(a + b*x)^(1/2)) - (2*a*(a + b*x)^(3/2))/b^4","B"
345,1,35,49,0.039695,"\text{Not used}","int(x^2/(a + b*x)^(3/2),x)","-\frac{12\,a\,\left(a+b\,x\right)-2\,{\left(a+b\,x\right)}^2+6\,a^2}{3\,b^3\,\sqrt{a+b\,x}}","Not used",1,"-(12*a*(a + b*x) - 2*(a + b*x)^2 + 6*a^2)/(3*b^3*(a + b*x)^(1/2))","B"
346,1,19,30,0.086963,"\text{Not used}","int(x/(a + b*x)^(3/2),x)","\frac{4\,a+2\,b\,x}{b^2\,\sqrt{a+b\,x}}","Not used",1,"(4*a + 2*b*x)/(b^2*(a + b*x)^(1/2))","B"
347,1,12,14,0.018510,"\text{Not used}","int(1/(a + b*x)^(3/2),x)","-\frac{2}{b\,\sqrt{a+b\,x}}","Not used",1,"-2/(b*(a + b*x)^(1/2))","B"
348,1,30,38,0.043362,"\text{Not used}","int(1/(x*(a + b*x)^(3/2)),x)","\frac{2}{a\,\sqrt{a+b\,x}}-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{a^{3/2}}","Not used",1,"2/(a*(a + b*x)^(1/2)) - (2*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(3/2)","B"
349,1,60,57,0.121998,"\text{Not used}","int(1/(x^2*(a + b*x)^(3/2)),x)","\frac{3\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{\frac{2\,b}{a}-\frac{3\,b\,\left(a+b\,x\right)}{a^2}}{a\,\sqrt{a+b\,x}-{\left(a+b\,x\right)}^{3/2}}","Not used",1,"(3*b*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(5/2) - ((2*b)/a - (3*b*(a + b*x))/a^2)/(a*(a + b*x)^(1/2) - (a + b*x)^(3/2))","B"
350,1,90,87,0.058740,"\text{Not used}","int(1/(x^3*(a + b*x)^(3/2)),x)","\frac{\frac{2\,b^2}{a}+\frac{15\,b^2\,{\left(a+b\,x\right)}^2}{4\,a^3}-\frac{25\,b^2\,\left(a+b\,x\right)}{4\,a^2}}{{\left(a+b\,x\right)}^{5/2}-2\,a\,{\left(a+b\,x\right)}^{3/2}+a^2\,\sqrt{a+b\,x}}-\frac{15\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{4\,a^{7/2}}","Not used",1,"((2*b^2)/a + (15*b^2*(a + b*x)^2)/(4*a^3) - (25*b^2*(a + b*x))/(4*a^2))/((a + b*x)^(5/2) - 2*a*(a + b*x)^(3/2) + a^2*(a + b*x)^(1/2)) - (15*b^2*atanh((a + b*x)^(1/2)/a^(1/2)))/(4*a^(7/2))","B"
351,1,68,87,0.049273,"\text{Not used}","int(x^4/(a + b*x)^(5/2),x)","\frac{2\,{\left(a+b\,x\right)}^{5/2}}{5\,b^5}+\frac{8\,a^3\,\left(a+b\,x\right)-\frac{2\,a^4}{3}}{b^5\,{\left(a+b\,x\right)}^{3/2}}+\frac{12\,a^2\,\sqrt{a+b\,x}}{b^5}-\frac{8\,a\,{\left(a+b\,x\right)}^{3/2}}{3\,b^5}","Not used",1,"(2*(a + b*x)^(5/2))/(5*b^5) + (8*a^3*(a + b*x) - (2*a^4)/3)/(b^5*(a + b*x)^(3/2)) + (12*a^2*(a + b*x)^(1/2))/b^5 - (8*a*(a + b*x)^(3/2))/(3*b^5)","B"
352,1,47,68,0.042776,"\text{Not used}","int(x^3/(a + b*x)^(5/2),x)","-\frac{18\,a\,{\left(a+b\,x\right)}^2+18\,a^2\,\left(a+b\,x\right)-2\,{\left(a+b\,x\right)}^3-2\,a^3}{3\,b^4\,{\left(a+b\,x\right)}^{3/2}}","Not used",1,"-(18*a*(a + b*x)^2 + 18*a^2*(a + b*x) - 2*(a + b*x)^3 - 2*a^3)/(3*b^4*(a + b*x)^(3/2))","B"
353,1,35,49,0.084009,"\text{Not used}","int(x^2/(a + b*x)^(5/2),x)","\frac{6\,{\left(a+b\,x\right)}^2+12\,a\,\left(a+b\,x\right)-2\,a^2}{3\,b^3\,{\left(a+b\,x\right)}^{3/2}}","Not used",1,"(6*(a + b*x)^2 + 12*a*(a + b*x) - 2*a^2)/(3*b^3*(a + b*x)^(3/2))","B"
354,1,20,32,0.033103,"\text{Not used}","int(x/(a + b*x)^(5/2),x)","-\frac{4\,a+6\,b\,x}{3\,b^2\,{\left(a+b\,x\right)}^{3/2}}","Not used",1,"-(4*a + 6*b*x)/(3*b^2*(a + b*x)^(3/2))","B"
355,1,12,16,0.018427,"\text{Not used}","int(1/(a + b*x)^(5/2),x)","-\frac{2}{3\,b\,{\left(a+b\,x\right)}^{3/2}}","Not used",1,"-2/(3*b*(a + b*x)^(3/2))","B"
356,1,42,54,0.050019,"\text{Not used}","int(1/(x*(a + b*x)^(5/2)),x)","\frac{\frac{2\,\left(a+b\,x\right)}{a^2}+\frac{2}{3\,a}}{{\left(a+b\,x\right)}^{3/2}}-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{a^{5/2}}","Not used",1,"((2*(a + b*x))/a^2 + 2/(3*a))/(a + b*x)^(3/2) - (2*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(5/2)","B"
357,1,73,74,0.109148,"\text{Not used}","int(1/(x^2*(a + b*x)^(5/2)),x)","\frac{5\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{a^{7/2}}-\frac{\frac{2\,b}{3\,a}+\frac{10\,b\,\left(a+b\,x\right)}{3\,a^2}-\frac{5\,b\,{\left(a+b\,x\right)}^2}{a^3}}{a\,{\left(a+b\,x\right)}^{3/2}-{\left(a+b\,x\right)}^{5/2}}","Not used",1,"(5*b*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(7/2) - ((2*b)/(3*a) + (10*b*(a + b*x))/(3*a^2) - (5*b*(a + b*x)^2)/a^3)/(a*(a + b*x)^(3/2) - (a + b*x)^(5/2))","B"
358,1,105,106,0.119925,"\text{Not used}","int(1/(x^3*(a + b*x)^(5/2)),x)","\frac{\frac{2\,b^2}{3\,a}-\frac{175\,b^2\,{\left(a+b\,x\right)}^2}{12\,a^3}+\frac{35\,b^2\,{\left(a+b\,x\right)}^3}{4\,a^4}+\frac{14\,b^2\,\left(a+b\,x\right)}{3\,a^2}}{{\left(a+b\,x\right)}^{7/2}-2\,a\,{\left(a+b\,x\right)}^{5/2}+a^2\,{\left(a+b\,x\right)}^{3/2}}-\frac{35\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{4\,a^{9/2}}","Not used",1,"((2*b^2)/(3*a) - (175*b^2*(a + b*x)^2)/(12*a^3) + (35*b^2*(a + b*x)^3)/(4*a^4) + (14*b^2*(a + b*x))/(3*a^2))/((a + b*x)^(7/2) - 2*a*(a + b*x)^(5/2) + a^2*(a + b*x)^(3/2)) - (35*b^2*atanh((a + b*x)^(1/2)/a^(1/2)))/(4*a^(9/2))","B"
359,1,19,25,0.047854,"\text{Not used}","int(1/(x*(b*x - a)^(1/2)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"(2*atan((b*x - a)^(1/2)/a^(1/2)))/a^(1/2)","B"
360,1,36,44,0.041178,"\text{Not used}","int(1/(x^2*(b*x - a)^(1/2)),x)","\frac{\sqrt{b\,x-a}}{a\,x}+\frac{b\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{a^{3/2}}","Not used",1,"(b*x - a)^(1/2)/(a*x) + (b*atan((b*x - a)^(1/2)/a^(1/2)))/a^(3/2)","B"
361,1,57,74,0.045169,"\text{Not used}","int(1/(x^3*(b*x - a)^(1/2)),x)","\frac{3\,b^2\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{4\,a^{5/2}}+\frac{5\,\sqrt{b\,x-a}}{4\,a\,x^2}+\frac{3\,{\left(b\,x-a\right)}^{3/2}}{4\,a^2\,x^2}","Not used",1,"(3*b^2*atan((b*x - a)^(1/2)/a^(1/2)))/(4*a^(5/2)) + (5*(b*x - a)^(1/2))/(4*a*x^2) + (3*(b*x - a)^(3/2))/(4*a^2*x^2)","B"
362,1,34,42,0.095133,"\text{Not used}","int(1/(x*(b*x - a)^(3/2)),x)","-\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{a^{3/2}}-\frac{2}{a\,\sqrt{b\,x-a}}","Not used",1,"- (2*atan((b*x - a)^(1/2)/a^(1/2)))/a^(3/2) - 2/(a*(b*x - a)^(1/2))","B"
363,1,52,62,0.062938,"\text{Not used}","int(1/(x^2*(b*x - a)^(3/2)),x)","\frac{1}{a\,x\,\sqrt{b\,x-a}}-\frac{3\,b}{a^2\,\sqrt{b\,x-a}}-\frac{3\,b\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{a^{5/2}}","Not used",1,"1/(a*x*(b*x - a)^(1/2)) - (3*b)/(a^2*(b*x - a)^(1/2)) - (3*b*atan((b*x - a)^(1/2)/a^(1/2)))/a^(5/2)","B"
364,1,101,95,0.132264,"\text{Not used}","int(1/(x^3*(b*x - a)^(3/2)),x)","-\frac{\frac{2\,b^2}{a}+\frac{15\,b^2\,{\left(a-b\,x\right)}^2}{4\,a^3}-\frac{25\,b^2\,\left(a-b\,x\right)}{4\,a^2}}{2\,a\,{\left(b\,x-a\right)}^{3/2}+{\left(b\,x-a\right)}^{5/2}+a^2\,\sqrt{b\,x-a}}-\frac{15\,b^2\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{4\,a^{7/2}}","Not used",1,"- ((2*b^2)/a + (15*b^2*(a - b*x)^2)/(4*a^3) - (25*b^2*(a - b*x))/(4*a^2))/(2*a*(b*x - a)^(3/2) + (b*x - a)^(5/2) + a^2*(b*x - a)^(1/2)) - (15*b^2*atan((b*x - a)^(1/2)/a^(1/2)))/(4*a^(7/2))","B"
365,1,48,60,0.092349,"\text{Not used}","int(1/(x*(b*x - a)^(5/2)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{\frac{2\,\left(a-b\,x\right)}{a^2}+\frac{2}{3\,a}}{{\left(b\,x-a\right)}^{3/2}}","Not used",1,"(2*atan((b*x - a)^(1/2)/a^(1/2)))/a^(5/2) - ((2*(a - b*x))/a^2 + 2/(3*a))/(b*x - a)^(3/2)","B"
366,1,70,81,0.117655,"\text{Not used}","int(1/(x^2*(b*x - a)^(5/2)),x)","\frac{1}{a\,x\,{\left(b\,x-a\right)}^{3/2}}-\frac{20\,b}{3\,a^2\,{\left(b\,x-a\right)}^{3/2}}+\frac{5\,b\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{a^{7/2}}+\frac{5\,b^2\,x}{a^3\,{\left(b\,x-a\right)}^{3/2}}","Not used",1,"1/(a*x*(b*x - a)^(3/2)) - (20*b)/(3*a^2*(b*x - a)^(3/2)) + (5*b*atan((b*x - a)^(1/2)/a^(1/2)))/a^(7/2) + (5*b^2*x)/(a^3*(b*x - a)^(3/2))","B"
367,1,117,116,0.071110,"\text{Not used}","int(1/(x^3*(b*x - a)^(5/2)),x)","\frac{35\,b^2\,\mathrm{atan}\left(\frac{\sqrt{b\,x-a}}{\sqrt{a}}\right)}{4\,a^{9/2}}-\frac{\frac{2\,b^2}{3\,a}-\frac{175\,b^2\,{\left(a-b\,x\right)}^2}{12\,a^3}+\frac{35\,b^2\,{\left(a-b\,x\right)}^3}{4\,a^4}+\frac{14\,b^2\,\left(a-b\,x\right)}{3\,a^2}}{2\,a\,{\left(b\,x-a\right)}^{5/2}+{\left(b\,x-a\right)}^{7/2}+a^2\,{\left(b\,x-a\right)}^{3/2}}","Not used",1,"(35*b^2*atan((b*x - a)^(1/2)/a^(1/2)))/(4*a^(9/2)) - ((2*b^2)/(3*a) - (175*b^2*(a - b*x)^2)/(12*a^3) + (35*b^2*(a - b*x)^3)/(4*a^4) + (14*b^2*(a - b*x))/(3*a^2))/(2*a*(b*x - a)^(5/2) + (b*x - a)^(7/2) + a^2*(b*x - a)^(3/2))","B"
368,1,11,13,0.413031,"\text{Not used}","int((x^(m - 1)*(2*a*m + b*x*(2*m - 1)))/(2*(a + b*x)^(3/2)),x)","\frac{x^m}{\sqrt{a+b\,x}}","Not used",1,"x^m/(a + b*x)^(1/2)","B"
369,0,-1,13,0.000000,"\text{Not used}","int((m*x^(m - 1))/(a + b*x)^(1/2) - (b*x^m)/(2*(a + b*x)^(3/2)),x)","\int \frac{m\,x^{m-1}}{\sqrt{a+b\,x}}-\frac{b\,x^m}{2\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((m*x^(m - 1))/(a + b*x)^(1/2) - (b*x^m)/(2*(a + b*x)^(3/2)), x)","F"
370,1,17,23,0.002093,"\text{Not used}","int(1/(x*(a + b*x)^(1/2)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,x}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"-(2*atanh((a + b*x)^(1/2)/a^(1/2)))/a^(1/2)","B"
371,1,56,72,0.052034,"\text{Not used}","int(x^3*(a + b*x)^(1/3),x)","\frac{3\,{\left(a+b\,x\right)}^{13/3}}{13\,b^4}-\frac{3\,a^3\,{\left(a+b\,x\right)}^{4/3}}{4\,b^4}+\frac{9\,a^2\,{\left(a+b\,x\right)}^{7/3}}{7\,b^4}-\frac{9\,a\,{\left(a+b\,x\right)}^{10/3}}{10\,b^4}","Not used",1,"(3*(a + b*x)^(13/3))/(13*b^4) - (3*a^3*(a + b*x)^(4/3))/(4*b^4) + (9*a^2*(a + b*x)^(7/3))/(7*b^4) - (9*a*(a + b*x)^(10/3))/(10*b^4)","B"
372,1,37,53,0.038492,"\text{Not used}","int(x^2*(a + b*x)^(1/3),x)","\frac{42\,{\left(a+b\,x\right)}^{10/3}-120\,a\,{\left(a+b\,x\right)}^{7/3}+105\,a^2\,{\left(a+b\,x\right)}^{4/3}}{140\,b^3}","Not used",1,"(42*(a + b*x)^(10/3) - 120*a*(a + b*x)^(7/3) + 105*a^2*(a + b*x)^(4/3))/(140*b^3)","B"
373,1,25,34,0.028049,"\text{Not used}","int(x*(a + b*x)^(1/3),x)","-\frac{21\,a\,{\left(a+b\,x\right)}^{4/3}-12\,{\left(a+b\,x\right)}^{7/3}}{28\,b^2}","Not used",1,"-(21*a*(a + b*x)^(4/3) - 12*(a + b*x)^(7/3))/(28*b^2)","B"
374,1,12,16,0.017429,"\text{Not used}","int((a + b*x)^(1/3),x)","\frac{3\,{\left(a+b\,x\right)}^{4/3}}{4\,b}","Not used",1,"(3*(a + b*x)^(4/3))/(4*b)","B"
375,1,107,91,0.121409,"\text{Not used}","int((a + b*x)^(1/3)/x,x)","a^{1/3}\,\ln\left(9\,a\,{\left(a+b\,x\right)}^{1/3}-9\,a^{4/3}\right)+3\,{\left(a+b\,x\right)}^{1/3}+\frac{a^{1/3}\,\ln\left(9\,a\,{\left(a+b\,x\right)}^{1/3}-\frac{9\,a^{4/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-\frac{a^{1/3}\,\ln\left(9\,a\,{\left(a+b\,x\right)}^{1/3}+\frac{9\,a^{4/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}","Not used",1,"a^(1/3)*log(9*a*(a + b*x)^(1/3) - 9*a^(4/3)) + 3*(a + b*x)^(1/3) + (a^(1/3)*log(9*a*(a + b*x)^(1/3) - (9*a^(4/3)*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/2 - (a^(1/3)*log(9*a*(a + b*x)^(1/3) + (9*a^(4/3)*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/2","B"
376,1,117,97,0.066873,"\text{Not used}","int((a + b*x)^(1/3)/x^2,x)","\frac{b\,\ln\left(3\,b\,{\left(a+b\,x\right)}^{1/3}-3\,a^{1/3}\,b\right)}{3\,a^{2/3}}-\frac{{\left(a+b\,x\right)}^{1/3}}{x}-\frac{\ln\left(\frac{3\,a^{1/3}\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{2}+3\,b\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{2/3}}-\frac{\ln\left(\frac{3\,a^{1/3}\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{2}+3\,b\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{2/3}}","Not used",1,"(b*log(3*b*(a + b*x)^(1/3) - 3*a^(1/3)*b))/(3*a^(2/3)) - (a + b*x)^(1/3)/x - (log((3*a^(1/3)*(b - 3^(1/2)*b*1i))/2 + 3*b*(a + b*x)^(1/3))*(b - 3^(1/2)*b*1i))/(6*a^(2/3)) - (log((3*a^(1/3)*(b + 3^(1/2)*b*1i))/2 + 3*b*(a + b*x)^(1/3))*(b + 3^(1/2)*b*1i))/(6*a^(2/3))","B"
377,1,196,127,0.229969,"\text{Not used}","int((a + b*x)^(1/3)/x^3,x)","\frac{b^2\,\ln\left(\frac{b^2}{{\left(-a\right)}^{2/3}}-\frac{b^2\,{\left(a+b\,x\right)}^{1/3}}{a}\right)}{9\,{\left(-a\right)}^{5/3}}-\frac{\ln\left(\frac{b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}}{2\,{\left(-a\right)}^{2/3}}+\frac{b^2\,{\left(a+b\,x\right)}^{1/3}}{a}\right)\,\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}{18\,{\left(-a\right)}^{5/3}}-\frac{\frac{b^2\,{\left(a+b\,x\right)}^{1/3}}{3}+\frac{b^2\,{\left(a+b\,x\right)}^{4/3}}{6\,a}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}+\frac{b^2\,\ln\left(\frac{b^2\,{\left(a+b\,x\right)}^{1/3}}{a}-\frac{b^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{{\left(-a\right)}^{2/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,{\left(-a\right)}^{5/3}}","Not used",1,"(b^2*log(b^2/(-a)^(2/3) - (b^2*(a + b*x)^(1/3))/a))/(9*(-a)^(5/3)) - (log((3^(1/2)*b^2*1i + b^2)/(2*(-a)^(2/3)) + (b^2*(a + b*x)^(1/3))/a)*(3^(1/2)*b^2*1i + b^2))/(18*(-a)^(5/3)) - ((b^2*(a + b*x)^(1/3))/3 + (b^2*(a + b*x)^(4/3))/(6*a))/((a + b*x)^2 - 2*a*(a + b*x) + a^2) + (b^2*log((b^2*(a + b*x)^(1/3))/a - (b^2*((3^(1/2)*1i)/2 - 1/2))/(-a)^(2/3))*((3^(1/2)*1i)/2 - 1/2))/(9*(-a)^(5/3))","B"
378,1,56,72,0.045149,"\text{Not used}","int(x^3*(a + b*x)^(2/3),x)","\frac{3\,{\left(a+b\,x\right)}^{14/3}}{14\,b^4}-\frac{3\,a^3\,{\left(a+b\,x\right)}^{5/3}}{5\,b^4}+\frac{9\,a^2\,{\left(a+b\,x\right)}^{8/3}}{8\,b^4}-\frac{9\,a\,{\left(a+b\,x\right)}^{11/3}}{11\,b^4}","Not used",1,"(3*(a + b*x)^(14/3))/(14*b^4) - (3*a^3*(a + b*x)^(5/3))/(5*b^4) + (9*a^2*(a + b*x)^(8/3))/(8*b^4) - (9*a*(a + b*x)^(11/3))/(11*b^4)","B"
379,1,37,53,0.040960,"\text{Not used}","int(x^2*(a + b*x)^(2/3),x)","\frac{60\,{\left(a+b\,x\right)}^{11/3}-165\,a\,{\left(a+b\,x\right)}^{8/3}+132\,a^2\,{\left(a+b\,x\right)}^{5/3}}{220\,b^3}","Not used",1,"(60*(a + b*x)^(11/3) - 165*a*(a + b*x)^(8/3) + 132*a^2*(a + b*x)^(5/3))/(220*b^3)","B"
380,1,25,34,0.027941,"\text{Not used}","int(x*(a + b*x)^(2/3),x)","-\frac{24\,a\,{\left(a+b\,x\right)}^{5/3}-15\,{\left(a+b\,x\right)}^{8/3}}{40\,b^2}","Not used",1,"-(24*a*(a + b*x)^(5/3) - 15*(a + b*x)^(8/3))/(40*b^2)","B"
381,1,12,16,0.017967,"\text{Not used}","int((a + b*x)^(2/3),x)","\frac{3\,{\left(a+b\,x\right)}^{5/3}}{5\,b}","Not used",1,"(3*(a + b*x)^(5/3))/(5*b)","B"
382,1,117,92,0.112712,"\text{Not used}","int((a + b*x)^(2/3)/x,x)","\frac{3\,{\left(a+b\,x\right)}^{2/3}}{2}+a^{2/3}\,\ln\left(9\,a^2\,{\left(a+b\,x\right)}^{1/3}-9\,a^{7/3}\right)+\frac{a^{2/3}\,\ln\left(9\,a^2\,{\left(a+b\,x\right)}^{1/3}-\frac{9\,a^{7/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-\frac{a^{2/3}\,\ln\left(9\,a^2\,{\left(a+b\,x\right)}^{1/3}-\frac{9\,a^{7/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}","Not used",1,"(3*(a + b*x)^(2/3))/2 + a^(2/3)*log(9*a^2*(a + b*x)^(1/3) - 9*a^(7/3)) + (a^(2/3)*log(9*a^2*(a + b*x)^(1/3) - (9*a^(7/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/2 - (a^(2/3)*log(9*a^2*(a + b*x)^(1/3) - (9*a^(7/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/2","B"
383,1,127,94,0.114177,"\text{Not used}","int((a + b*x)^(2/3)/x^2,x)","\frac{2\,b\,\ln\left(4\,a^{1/3}\,b^2-4\,b^2\,{\left(a+b\,x\right)}^{1/3}\right)}{3\,a^{1/3}}-\frac{{\left(a+b\,x\right)}^{2/3}}{x}-\frac{\ln\left(a^{1/3}\,{\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2-4\,b^2\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{3\,a^{1/3}}-\frac{\ln\left(a^{1/3}\,{\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2-4\,b^2\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{3\,a^{1/3}}","Not used",1,"(2*b*log(4*a^(1/3)*b^2 - 4*b^2*(a + b*x)^(1/3)))/(3*a^(1/3)) - (a + b*x)^(2/3)/x - (log(a^(1/3)*(b - 3^(1/2)*b*1i)^2 - 4*b^2*(a + b*x)^(1/3))*(b - 3^(1/2)*b*1i))/(3*a^(1/3)) - (log(a^(1/3)*(b + 3^(1/2)*b*1i)^2 - 4*b^2*(a + b*x)^(1/3))*(b + 3^(1/2)*b*1i))/(3*a^(1/3))","B"
384,1,194,127,0.329025,"\text{Not used}","int((a + b*x)^(2/3)/x^3,x)","\frac{{\left(-1\right)}^{1/3}\,b^2\,\ln\left({\left(a+b\,x\right)}^{1/3}-{\left(-1\right)}^{2/3}\,a^{1/3}\right)}{9\,a^{4/3}}-\frac{\frac{b^2\,{\left(a+b\,x\right)}^{2/3}}{6}+\frac{b^2\,{\left(a+b\,x\right)}^{5/3}}{3\,a}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}+\frac{{\left(-1\right)}^{1/3}\,b^2\,\ln\left(\frac{b^4\,{\left(a+b\,x\right)}^{1/3}}{9\,a^2}-\frac{{\left(-1\right)}^{2/3}\,b^4\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{9\,a^{5/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{4/3}}-\frac{{\left(-1\right)}^{1/3}\,b^2\,\ln\left(\frac{b^4\,{\left(a+b\,x\right)}^{1/3}}{9\,a^2}-\frac{{\left(-1\right)}^{2/3}\,b^4\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{9\,a^{5/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{4/3}}","Not used",1,"((-1)^(1/3)*b^2*log((a + b*x)^(1/3) - (-1)^(2/3)*a^(1/3)))/(9*a^(4/3)) - ((b^2*(a + b*x)^(2/3))/6 + (b^2*(a + b*x)^(5/3))/(3*a))/((a + b*x)^2 - 2*a*(a + b*x) + a^2) + ((-1)^(1/3)*b^2*log((b^4*(a + b*x)^(1/3))/(9*a^2) - ((-1)^(2/3)*b^4*((3^(1/2)*1i)/2 - 1/2)^2)/(9*a^(5/3)))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(4/3)) - ((-1)^(1/3)*b^2*log((b^4*(a + b*x)^(1/3))/(9*a^2) - ((-1)^(2/3)*b^4*((3^(1/2)*1i)/2 + 1/2)^2)/(9*a^(5/3)))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(4/3))","B"
385,1,56,72,0.046671,"\text{Not used}","int(x^3*(a + b*x)^(4/3),x)","\frac{3\,{\left(a+b\,x\right)}^{16/3}}{16\,b^4}-\frac{3\,a^3\,{\left(a+b\,x\right)}^{7/3}}{7\,b^4}+\frac{9\,a^2\,{\left(a+b\,x\right)}^{10/3}}{10\,b^4}-\frac{9\,a\,{\left(a+b\,x\right)}^{13/3}}{13\,b^4}","Not used",1,"(3*(a + b*x)^(16/3))/(16*b^4) - (3*a^3*(a + b*x)^(7/3))/(7*b^4) + (9*a^2*(a + b*x)^(10/3))/(10*b^4) - (9*a*(a + b*x)^(13/3))/(13*b^4)","B"
386,1,37,53,0.041579,"\text{Not used}","int(x^2*(a + b*x)^(4/3),x)","\frac{105\,{\left(a+b\,x\right)}^{13/3}-273\,a\,{\left(a+b\,x\right)}^{10/3}+195\,a^2\,{\left(a+b\,x\right)}^{7/3}}{455\,b^3}","Not used",1,"(105*(a + b*x)^(13/3) - 273*a*(a + b*x)^(10/3) + 195*a^2*(a + b*x)^(7/3))/(455*b^3)","B"
387,1,25,34,0.026929,"\text{Not used}","int(x*(a + b*x)^(4/3),x)","-\frac{30\,a\,{\left(a+b\,x\right)}^{7/3}-21\,{\left(a+b\,x\right)}^{10/3}}{70\,b^2}","Not used",1,"-(30*a*(a + b*x)^(7/3) - 21*(a + b*x)^(10/3))/(70*b^2)","B"
388,1,12,16,0.018449,"\text{Not used}","int((a + b*x)^(4/3),x)","\frac{3\,{\left(a+b\,x\right)}^{7/3}}{7\,b}","Not used",1,"(3*(a + b*x)^(7/3))/(7*b)","B"
389,1,123,105,0.060187,"\text{Not used}","int((a + b*x)^(4/3)/x,x)","3\,a\,{\left(a+b\,x\right)}^{1/3}+\frac{3\,{\left(a+b\,x\right)}^{4/3}}{4}+a^{4/3}\,\ln\left(9\,a^2\,{\left(a+b\,x\right)}^{1/3}-9\,a^{7/3}\right)+\frac{a^{4/3}\,\ln\left(\frac{9\,a^{7/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-9\,a^2\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-\frac{a^{4/3}\,\ln\left(\frac{9\,a^{7/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}+9\,a^2\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}","Not used",1,"3*a*(a + b*x)^(1/3) + (3*(a + b*x)^(4/3))/4 + a^(4/3)*log(9*a^2*(a + b*x)^(1/3) - 9*a^(7/3)) + (a^(4/3)*log((9*a^(7/3)*(3^(1/2)*1i - 1))/2 - 9*a^2*(a + b*x)^(1/3))*(3^(1/2)*1i - 1))/2 - (a^(4/3)*log((9*a^(7/3)*(3^(1/2)*1i + 1))/2 + 9*a^2*(a + b*x)^(1/3))*(3^(1/2)*1i + 1))/2","B"
390,1,131,107,0.072982,"\text{Not used}","int((a + b*x)^(4/3)/x^2,x)","3\,b\,{\left(a+b\,x\right)}^{1/3}+\frac{4\,a^{1/3}\,b\,\ln\left(12\,a^{4/3}\,b-12\,a\,b\,{\left(a+b\,x\right)}^{1/3}\right)}{3}-\frac{a\,{\left(a+b\,x\right)}^{1/3}}{x}+\frac{2\,a^{1/3}\,b\,\ln\left(12\,a\,b\,{\left(a+b\,x\right)}^{1/3}-6\,a^{4/3}\,b\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{3}-\frac{2\,a^{1/3}\,b\,\ln\left(12\,a\,b\,{\left(a+b\,x\right)}^{1/3}+6\,a^{4/3}\,b\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{3}","Not used",1,"3*b*(a + b*x)^(1/3) + (4*a^(1/3)*b*log(12*a^(4/3)*b - 12*a*b*(a + b*x)^(1/3)))/3 - (a*(a + b*x)^(1/3))/x + (2*a^(1/3)*b*log(12*a*b*(a + b*x)^(1/3) - 6*a^(4/3)*b*(3^(1/2)*1i - 1))*(3^(1/2)*1i - 1))/3 - (2*a^(1/3)*b*log(12*a*b*(a + b*x)^(1/3) + 6*a^(4/3)*b*(3^(1/2)*1i + 1))*(3^(1/2)*1i + 1))/3","B"
391,1,174,124,0.121769,"\text{Not used}","int((a + b*x)^(4/3)/x^3,x)","\frac{2\,b^2\,\ln\left(2\,b^2\,{\left(a+b\,x\right)}^{1/3}-2\,a^{1/3}\,b^2\right)}{9\,a^{2/3}}-\frac{\frac{7\,b^2\,{\left(a+b\,x\right)}^{4/3}}{6}-\frac{2\,a\,b^2\,{\left(a+b\,x\right)}^{1/3}}{3}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}-\frac{\ln\left(2\,b^2\,{\left(a+b\,x\right)}^{1/3}+a^{1/3}\,\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)\right)\,\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}{9\,a^{2/3}}+\frac{b^2\,\ln\left(2\,b^2\,{\left(a+b\,x\right)}^{1/3}-9\,a^{1/3}\,b^2\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}{a^{2/3}}","Not used",1,"(2*b^2*log(2*b^2*(a + b*x)^(1/3) - 2*a^(1/3)*b^2))/(9*a^(2/3)) - ((7*b^2*(a + b*x)^(4/3))/6 - (2*a*b^2*(a + b*x)^(1/3))/3)/((a + b*x)^2 - 2*a*(a + b*x) + a^2) - (log(2*b^2*(a + b*x)^(1/3) + a^(1/3)*(3^(1/2)*b^2*1i + b^2))*(3^(1/2)*b^2*1i + b^2))/(9*a^(2/3)) + (b^2*log(2*b^2*(a + b*x)^(1/3) - 9*a^(1/3)*b^2*((3^(1/2)*1i)/9 - 1/9))*((3^(1/2)*1i)/9 - 1/9))/a^(2/3)","B"
392,1,56,72,0.043214,"\text{Not used}","int(x^3/(a + b*x)^(1/3),x)","\frac{3\,{\left(a+b\,x\right)}^{11/3}}{11\,b^4}-\frac{3\,a^3\,{\left(a+b\,x\right)}^{2/3}}{2\,b^4}+\frac{9\,a^2\,{\left(a+b\,x\right)}^{5/3}}{5\,b^4}-\frac{9\,a\,{\left(a+b\,x\right)}^{8/3}}{8\,b^4}","Not used",1,"(3*(a + b*x)^(11/3))/(11*b^4) - (3*a^3*(a + b*x)^(2/3))/(2*b^4) + (9*a^2*(a + b*x)^(5/3))/(5*b^4) - (9*a*(a + b*x)^(8/3))/(8*b^4)","B"
393,1,37,53,0.038085,"\text{Not used}","int(x^2/(a + b*x)^(1/3),x)","\frac{15\,{\left(a+b\,x\right)}^{8/3}-48\,a\,{\left(a+b\,x\right)}^{5/3}+60\,a^2\,{\left(a+b\,x\right)}^{2/3}}{40\,b^3}","Not used",1,"(15*(a + b*x)^(8/3) - 48*a*(a + b*x)^(5/3) + 60*a^2*(a + b*x)^(2/3))/(40*b^3)","B"
394,1,25,34,0.028676,"\text{Not used}","int(x/(a + b*x)^(1/3),x)","-\frac{15\,a\,{\left(a+b\,x\right)}^{2/3}-6\,{\left(a+b\,x\right)}^{5/3}}{10\,b^2}","Not used",1,"-(15*a*(a + b*x)^(2/3) - 6*(a + b*x)^(5/3))/(10*b^2)","B"
395,1,12,16,0.016473,"\text{Not used}","int(1/(a + b*x)^(1/3),x)","\frac{3\,{\left(a+b\,x\right)}^{2/3}}{2\,b}","Not used",1,"(3*(a + b*x)^(2/3))/(2*b)","B"
396,1,99,79,0.086020,"\text{Not used}","int(1/(x*(a + b*x)^(1/3)),x)","\frac{\ln\left(9\,{\left(a+b\,x\right)}^{1/3}-9\,a^{1/3}\right)}{a^{1/3}}+\frac{\ln\left(9\,{\left(a+b\,x\right)}^{1/3}-\frac{9\,a^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{1/3}}-\frac{\ln\left(9\,{\left(a+b\,x\right)}^{1/3}-\frac{9\,a^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{1/3}}","Not used",1,"log(9*(a + b*x)^(1/3) - 9*a^(1/3))/a^(1/3) + (log(9*(a + b*x)^(1/3) - (9*a^(1/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(2*a^(1/3)) - (log(9*(a + b*x)^(1/3) - (9*a^(1/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(2*a^(1/3))","B"
397,1,130,100,0.136996,"\text{Not used}","int(1/(x^2*(a + b*x)^(1/3)),x)","-\frac{{\left(a+b\,x\right)}^{2/3}}{a\,x}+\frac{\ln\left(\frac{{\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{4\,a^{5/3}}-\frac{b^2\,{\left(a+b\,x\right)}^{1/3}}{a^2}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{4/3}}+\frac{\ln\left(\frac{{\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{4\,a^{5/3}}-\frac{b^2\,{\left(a+b\,x\right)}^{1/3}}{a^2}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{4/3}}-\frac{b\,\ln\left({\left(a+b\,x\right)}^{1/3}-a^{1/3}\right)}{3\,a^{4/3}}","Not used",1,"(log((b - 3^(1/2)*b*1i)^2/(4*a^(5/3)) - (b^2*(a + b*x)^(1/3))/a^2)*(b - 3^(1/2)*b*1i))/(6*a^(4/3)) - (a + b*x)^(2/3)/(a*x) + (log((b + 3^(1/2)*b*1i)^2/(4*a^(5/3)) - (b^2*(a + b*x)^(1/3))/a^2)*(b + 3^(1/2)*b*1i))/(6*a^(4/3)) - (b*log((a + b*x)^(1/3) - a^(1/3)))/(3*a^(4/3))","B"
398,1,182,130,0.226367,"\text{Not used}","int(1/(x^3*(a + b*x)^(1/3)),x)","\frac{2\,b^2\,\ln\left({\left(a+b\,x\right)}^{1/3}-a^{1/3}\right)}{9\,a^{7/3}}-\frac{\frac{7\,b^2\,{\left(a+b\,x\right)}^{2/3}}{6\,a}-\frac{2\,b^2\,{\left(a+b\,x\right)}^{5/3}}{3\,a^2}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}-\frac{\ln\left(\frac{4\,b^4\,{\left(a+b\,x\right)}^{1/3}}{9\,a^4}-\frac{{\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}^2}{9\,a^{11/3}}\right)\,\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}{9\,a^{7/3}}+\frac{b^2\,\ln\left(\frac{4\,b^4\,{\left(a+b\,x\right)}^{1/3}}{9\,a^4}-\frac{9\,b^4\,{\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2}{a^{11/3}}\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}{a^{7/3}}","Not used",1,"(2*b^2*log((a + b*x)^(1/3) - a^(1/3)))/(9*a^(7/3)) - ((7*b^2*(a + b*x)^(2/3))/(6*a) - (2*b^2*(a + b*x)^(5/3))/(3*a^2))/((a + b*x)^2 - 2*a*(a + b*x) + a^2) - (log((4*b^4*(a + b*x)^(1/3))/(9*a^4) - (3^(1/2)*b^2*1i + b^2)^2/(9*a^(11/3)))*(3^(1/2)*b^2*1i + b^2))/(9*a^(7/3)) + (b^2*log((4*b^4*(a + b*x)^(1/3))/(9*a^4) - (9*b^4*((3^(1/2)*1i)/9 - 1/9)^2)/a^(11/3))*((3^(1/2)*1i)/9 - 1/9))/a^(7/3)","B"
399,1,64,80,0.047594,"\text{Not used}","int(x^3/(b*x - a)^(1/3),x)","\frac{3\,{\left(b\,x-a\right)}^{11/3}}{11\,b^4}+\frac{9\,a\,{\left(b\,x-a\right)}^{8/3}}{8\,b^4}+\frac{3\,a^3\,{\left(b\,x-a\right)}^{2/3}}{2\,b^4}+\frac{9\,a^2\,{\left(b\,x-a\right)}^{5/3}}{5\,b^4}","Not used",1,"(3*(b*x - a)^(11/3))/(11*b^4) + (9*a*(b*x - a)^(8/3))/(8*b^4) + (3*a^3*(b*x - a)^(2/3))/(2*b^4) + (9*a^2*(b*x - a)^(5/3))/(5*b^4)","B"
400,1,43,59,0.040454,"\text{Not used}","int(x^2/(b*x - a)^(1/3),x)","\frac{48\,a\,{\left(b\,x-a\right)}^{5/3}+15\,{\left(b\,x-a\right)}^{8/3}+60\,a^2\,{\left(b\,x-a\right)}^{2/3}}{40\,b^3}","Not used",1,"(48*a*(b*x - a)^(5/3) + 15*(b*x - a)^(8/3) + 60*a^2*(b*x - a)^(2/3))/(40*b^3)","B"
401,1,29,38,0.028694,"\text{Not used}","int(x/(b*x - a)^(1/3),x)","\frac{15\,a\,{\left(b\,x-a\right)}^{2/3}+6\,{\left(b\,x-a\right)}^{5/3}}{10\,b^2}","Not used",1,"(15*a*(b*x - a)^(2/3) + 6*(b*x - a)^(5/3))/(10*b^2)","B"
402,1,14,18,0.020078,"\text{Not used}","int(1/(b*x - a)^(1/3),x)","\frac{3\,{\left(b\,x-a\right)}^{2/3}}{2\,b}","Not used",1,"(3*(b*x - a)^(2/3))/(2*b)","B"
403,1,117,82,0.094851,"\text{Not used}","int(1/(x*(b*x - a)^(1/3)),x)","\frac{\ln\left(9\,{\left(b\,x-a\right)}^{1/3}-9\,{\left(-a\right)}^{1/3}\right)}{{\left(-a\right)}^{1/3}}+\frac{\ln\left(9\,{\left(b\,x-a\right)}^{1/3}-\frac{9\,{\left(-a\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,{\left(-a\right)}^{1/3}}-\frac{\ln\left(9\,{\left(b\,x-a\right)}^{1/3}-\frac{9\,{\left(-a\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,{\left(-a\right)}^{1/3}}","Not used",1,"log(9*(b*x - a)^(1/3) - 9*(-a)^(1/3))/(-a)^(1/3) + (log(9*(b*x - a)^(1/3) - (9*(-a)^(1/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(2*(-a)^(1/3)) - (log(9*(b*x - a)^(1/3) - (9*(-a)^(1/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(2*(-a)^(1/3))","B"
404,1,133,103,0.175423,"\text{Not used}","int(1/(x^2*(b*x - a)^(1/3)),x)","\frac{{\left(b\,x-a\right)}^{2/3}}{a\,x}-\frac{b\,\ln\left({\left(b\,x-a\right)}^{1/3}+a^{1/3}\right)}{3\,a^{4/3}}+\frac{\ln\left(\frac{{\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{4\,a^{5/3}}+\frac{b^2\,{\left(b\,x-a\right)}^{1/3}}{a^2}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{4/3}}+\frac{\ln\left(\frac{{\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{4\,a^{5/3}}+\frac{b^2\,{\left(b\,x-a\right)}^{1/3}}{a^2}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{6\,a^{4/3}}","Not used",1,"(b*x - a)^(2/3)/(a*x) - (b*log((b*x - a)^(1/3) + a^(1/3)))/(3*a^(4/3)) + (log((b - 3^(1/2)*b*1i)^2/(4*a^(5/3)) + (b^2*(b*x - a)^(1/3))/a^2)*(b - 3^(1/2)*b*1i))/(6*a^(4/3)) + (log((b + 3^(1/2)*b*1i)^2/(4*a^(5/3)) + (b^2*(b*x - a)^(1/3))/a^2)*(b + 3^(1/2)*b*1i))/(6*a^(4/3))","B"
405,1,216,136,0.220299,"\text{Not used}","int(1/(x^3*(b*x - a)^(1/3)),x)","\frac{\frac{7\,b^2\,{\left(b\,x-a\right)}^{2/3}}{6\,a}+\frac{2\,b^2\,{\left(b\,x-a\right)}^{5/3}}{3\,a^2}}{{\left(a-b\,x\right)}^2-2\,a\,\left(a-b\,x\right)+a^2}-\frac{\ln\left(\frac{4\,b^4\,{\left(b\,x-a\right)}^{1/3}}{9\,a^4}-\frac{{\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}^2}{9\,{\left(-a\right)}^{11/3}}\right)\,\left(b^2+\sqrt{3}\,b^2\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{7/3}}+\frac{2\,b^2\,\ln\left(\frac{4\,b^4\,{\left(b\,x-a\right)}^{1/3}}{9\,a^4}-\frac{4\,b^4}{9\,{\left(-a\right)}^{11/3}}\right)}{9\,{\left(-a\right)}^{7/3}}+\frac{b^2\,\ln\left(\frac{4\,b^4\,{\left(b\,x-a\right)}^{1/3}}{9\,a^4}-\frac{9\,b^4\,{\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2}{{\left(-a\right)}^{11/3}}\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}{{\left(-a\right)}^{7/3}}","Not used",1,"((7*b^2*(b*x - a)^(2/3))/(6*a) + (2*b^2*(b*x - a)^(5/3))/(3*a^2))/((a - b*x)^2 - 2*a*(a - b*x) + a^2) - (log((4*b^4*(b*x - a)^(1/3))/(9*a^4) - (3^(1/2)*b^2*1i + b^2)^2/(9*(-a)^(11/3)))*(3^(1/2)*b^2*1i + b^2))/(9*(-a)^(7/3)) + (2*b^2*log((4*b^4*(b*x - a)^(1/3))/(9*a^4) - (4*b^4)/(9*(-a)^(11/3))))/(9*(-a)^(7/3)) + (b^2*log((4*b^4*(b*x - a)^(1/3))/(9*a^4) - (9*b^4*((3^(1/2)*1i)/9 - 1/9)^2)/(-a)^(11/3))*((3^(1/2)*1i)/9 - 1/9))/(-a)^(7/3)","B"
406,1,56,70,0.045185,"\text{Not used}","int(x^3/(a + b*x)^(2/3),x)","\frac{3\,{\left(a+b\,x\right)}^{10/3}}{10\,b^4}-\frac{3\,a^3\,{\left(a+b\,x\right)}^{1/3}}{b^4}+\frac{9\,a^2\,{\left(a+b\,x\right)}^{4/3}}{4\,b^4}-\frac{9\,a\,{\left(a+b\,x\right)}^{7/3}}{7\,b^4}","Not used",1,"(3*(a + b*x)^(10/3))/(10*b^4) - (3*a^3*(a + b*x)^(1/3))/b^4 + (9*a^2*(a + b*x)^(4/3))/(4*b^4) - (9*a*(a + b*x)^(7/3))/(7*b^4)","B"
407,1,37,51,0.041055,"\text{Not used}","int(x^2/(a + b*x)^(2/3),x)","\frac{6\,{\left(a+b\,x\right)}^{7/3}-21\,a\,{\left(a+b\,x\right)}^{4/3}+42\,a^2\,{\left(a+b\,x\right)}^{1/3}}{14\,b^3}","Not used",1,"(6*(a + b*x)^(7/3) - 21*a*(a + b*x)^(4/3) + 42*a^2*(a + b*x)^(1/3))/(14*b^3)","B"
408,1,25,32,0.028929,"\text{Not used}","int(x/(a + b*x)^(2/3),x)","-\frac{12\,a\,{\left(a+b\,x\right)}^{1/3}-3\,{\left(a+b\,x\right)}^{4/3}}{4\,b^2}","Not used",1,"-(12*a*(a + b*x)^(1/3) - 3*(a + b*x)^(4/3))/(4*b^2)","B"
409,1,12,14,0.016902,"\text{Not used}","int(1/(a + b*x)^(2/3),x)","\frac{3\,{\left(a+b\,x\right)}^{1/3}}{b}","Not used",1,"(3*(a + b*x)^(1/3))/b","B"
410,1,95,80,0.165851,"\text{Not used}","int(1/(x*(a + b*x)^(2/3)),x)","\frac{\ln\left(9\,{\left(a+b\,x\right)}^{1/3}-9\,a^{1/3}\right)}{a^{2/3}}+\frac{\ln\left(\frac{9\,a^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-9\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{2/3}}-\frac{\ln\left(\frac{9\,a^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}+9\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{2/3}}","Not used",1,"log(9*(a + b*x)^(1/3) - 9*a^(1/3))/a^(2/3) + (log((9*a^(1/3)*(3^(1/2)*1i - 1))/2 - 9*(a + b*x)^(1/3))*(3^(1/2)*1i - 1))/(2*a^(2/3)) - (log((9*a^(1/3)*(3^(1/2)*1i + 1))/2 + 9*(a + b*x)^(1/3))*(3^(1/2)*1i + 1))/(2*a^(2/3))","B"
411,1,122,98,0.130471,"\text{Not used}","int(1/(x^2*(a + b*x)^(2/3)),x)","-\frac{{\left(a+b\,x\right)}^{1/3}}{a\,x}+\frac{\ln\left(\frac{3\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{a^{2/3}}+\frac{6\,b\,{\left(a+b\,x\right)}^{1/3}}{a}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{3\,a^{5/3}}+\frac{\ln\left(\frac{3\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{a^{2/3}}+\frac{6\,b\,{\left(a+b\,x\right)}^{1/3}}{a}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{3\,a^{5/3}}-\frac{2\,b\,\ln\left({\left(a+b\,x\right)}^{1/3}-a^{1/3}\right)}{3\,a^{5/3}}","Not used",1,"(log((3*(b - 3^(1/2)*b*1i))/a^(2/3) + (6*b*(a + b*x)^(1/3))/a)*(b - 3^(1/2)*b*1i))/(3*a^(5/3)) - (a + b*x)^(1/3)/(a*x) + (log((3*(b + 3^(1/2)*b*1i))/a^(2/3) + (6*b*(a + b*x)^(1/3))/a)*(b + 3^(1/2)*b*1i))/(3*a^(5/3)) - (2*b*log((a + b*x)^(1/3) - a^(1/3)))/(3*a^(5/3))","B"
412,1,175,130,0.131285,"\text{Not used}","int(1/(x^3*(a + b*x)^(2/3)),x)","\frac{5\,b^2\,\ln\left({\left(a+b\,x\right)}^{1/3}-a^{1/3}\right)}{9\,a^{8/3}}-\frac{\frac{4\,b^2\,{\left(a+b\,x\right)}^{1/3}}{3\,a}-\frac{5\,b^2\,{\left(a+b\,x\right)}^{4/3}}{6\,a^2}}{{\left(a+b\,x\right)}^2-2\,a\,\left(a+b\,x\right)+a^2}+\frac{5\,b^2\,\ln\left(\frac{5\,b^2\,{\left(a+b\,x\right)}^{1/3}}{a^2}-\frac{5\,b^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{5/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}}-\frac{5\,b^2\,\ln\left(\frac{5\,b^2\,{\left(a+b\,x\right)}^{1/3}}{a^2}+\frac{5\,b^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{5/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}}","Not used",1,"(5*b^2*log((a + b*x)^(1/3) - a^(1/3)))/(9*a^(8/3)) - ((4*b^2*(a + b*x)^(1/3))/(3*a) - (5*b^2*(a + b*x)^(4/3))/(6*a^2))/((a + b*x)^2 - 2*a*(a + b*x) + a^2) + (5*b^2*log((5*b^2*(a + b*x)^(1/3))/a^2 - (5*b^2*((3^(1/2)*1i)/2 - 1/2))/a^(5/3))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(8/3)) - (5*b^2*log((5*b^2*(a + b*x)^(1/3))/a^2 + (5*b^2*((3^(1/2)*1i)/2 + 1/2))/a^(5/3))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(8/3))","B"
413,1,56,70,0.053092,"\text{Not used}","int(x^3/(a + b*x)^(4/3),x)","\frac{3\,{\left(a+b\,x\right)}^{8/3}}{8\,b^4}+\frac{9\,a^2\,{\left(a+b\,x\right)}^{2/3}}{2\,b^4}+\frac{3\,a^3}{b^4\,{\left(a+b\,x\right)}^{1/3}}-\frac{9\,a\,{\left(a+b\,x\right)}^{5/3}}{5\,b^4}","Not used",1,"(3*(a + b*x)^(8/3))/(8*b^4) + (9*a^2*(a + b*x)^(2/3))/(2*b^4) + (3*a^3)/(b^4*(a + b*x)^(1/3)) - (9*a*(a + b*x)^(5/3))/(5*b^4)","B"
414,1,35,49,0.041744,"\text{Not used}","int(x^2/(a + b*x)^(4/3),x)","-\frac{15\,a\,\left(a+b\,x\right)-3\,{\left(a+b\,x\right)}^2+15\,a^2}{5\,b^3\,{\left(a+b\,x\right)}^{1/3}}","Not used",1,"-(15*a*(a + b*x) - 3*(a + b*x)^2 + 15*a^2)/(5*b^3*(a + b*x)^(1/3))","B"
415,1,20,32,0.030216,"\text{Not used}","int(x/(a + b*x)^(4/3),x)","\frac{9\,a+3\,b\,x}{2\,b^2\,{\left(a+b\,x\right)}^{1/3}}","Not used",1,"(9*a + 3*b*x)/(2*b^2*(a + b*x)^(1/3))","B"
416,1,12,14,0.020662,"\text{Not used}","int(1/(a + b*x)^(4/3),x)","-\frac{3}{b\,{\left(a+b\,x\right)}^{1/3}}","Not used",1,"-3/(b*(a + b*x)^(1/3))","B"
417,1,114,93,0.056084,"\text{Not used}","int(1/(x*(a + b*x)^(4/3)),x)","\frac{\ln\left(9\,a\,{\left(a+b\,x\right)}^{1/3}-9\,a^{4/3}\right)}{a^{4/3}}+\frac{3}{a\,{\left(a+b\,x\right)}^{1/3}}+\frac{\ln\left(9\,a\,{\left(a+b\,x\right)}^{1/3}-\frac{9\,a^{4/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{4/3}}-\frac{\ln\left(9\,a\,{\left(a+b\,x\right)}^{1/3}-\frac{9\,a^{4/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{4/3}}","Not used",1,"log(9*a*(a + b*x)^(1/3) - 9*a^(4/3))/a^(4/3) + 3/(a*(a + b*x)^(1/3)) + (log(9*a*(a + b*x)^(1/3) - (9*a^(4/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(2*a^(4/3)) - (log(9*a*(a + b*x)^(1/3) - (9*a^(4/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(2*a^(4/3))","B"
418,1,173,113,0.067874,"\text{Not used}","int(1/(x^2*(a + b*x)^(4/3)),x)","-\frac{\frac{3\,b}{a}-\frac{4\,b\,\left(a+b\,x\right)}{a^2}}{a\,{\left(a+b\,x\right)}^{1/3}-{\left(a+b\,x\right)}^{4/3}}+\frac{\ln\left(a^{7/3}\,{\left(2\,b-\sqrt{3}\,b\,2{}\mathrm{i}\right)}^2-16\,a^2\,b^2\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(2\,b-\sqrt{3}\,b\,2{}\mathrm{i}\right)}{3\,a^{7/3}}+\frac{\ln\left(a^{7/3}\,{\left(2\,b+\sqrt{3}\,b\,2{}\mathrm{i}\right)}^2-16\,a^2\,b^2\,{\left(a+b\,x\right)}^{1/3}\right)\,\left(2\,b+\sqrt{3}\,b\,2{}\mathrm{i}\right)}{3\,a^{7/3}}-\frac{4\,b\,\ln\left(16\,a^{7/3}\,b^2-16\,a^2\,b^2\,{\left(a+b\,x\right)}^{1/3}\right)}{3\,a^{7/3}}","Not used",1,"(log(a^(7/3)*(2*b - 3^(1/2)*b*2i)^2 - 16*a^2*b^2*(a + b*x)^(1/3))*(2*b - 3^(1/2)*b*2i))/(3*a^(7/3)) - ((3*b)/a - (4*b*(a + b*x))/a^2)/(a*(a + b*x)^(1/3) - (a + b*x)^(4/3)) + (log(a^(7/3)*(2*b + 3^(1/2)*b*2i)^2 - 16*a^2*b^2*(a + b*x)^(1/3))*(2*b + 3^(1/2)*b*2i))/(3*a^(7/3)) - (4*b*log(16*a^(7/3)*b^2 - 16*a^2*b^2*(a + b*x)^(1/3)))/(3*a^(7/3))","B"
419,1,221,149,0.131195,"\text{Not used}","int(1/(x^3*(a + b*x)^(4/3)),x)","\frac{\frac{3\,b^2}{a}+\frac{14\,b^2\,{\left(a+b\,x\right)}^2}{3\,a^3}-\frac{49\,b^2\,\left(a+b\,x\right)}{6\,a^2}}{{\left(a+b\,x\right)}^{7/3}-2\,a\,{\left(a+b\,x\right)}^{4/3}+a^2\,{\left(a+b\,x\right)}^{1/3}}+\frac{\ln\left(588\,a^3\,b^4\,{\left(a+b\,x\right)}^{1/3}-3\,a^{10/3}\,{\left(-7\,b^2+\sqrt{3}\,b^2\,7{}\mathrm{i}\right)}^2\right)\,\left(-7\,b^2+\sqrt{3}\,b^2\,7{}\mathrm{i}\right)}{9\,a^{10/3}}-\frac{\ln\left(588\,a^3\,b^4\,{\left(a+b\,x\right)}^{1/3}-3\,a^{10/3}\,{\left(7\,b^2+\sqrt{3}\,b^2\,7{}\mathrm{i}\right)}^2\right)\,\left(7\,b^2+\sqrt{3}\,b^2\,7{}\mathrm{i}\right)}{9\,a^{10/3}}+\frac{14\,b^2\,\ln\left(588\,a^3\,b^4\,{\left(a+b\,x\right)}^{1/3}-588\,a^{10/3}\,b^4\right)}{9\,a^{10/3}}","Not used",1,"((3*b^2)/a + (14*b^2*(a + b*x)^2)/(3*a^3) - (49*b^2*(a + b*x))/(6*a^2))/((a + b*x)^(7/3) - 2*a*(a + b*x)^(4/3) + a^2*(a + b*x)^(1/3)) + (log(588*a^3*b^4*(a + b*x)^(1/3) - 3*a^(10/3)*(3^(1/2)*b^2*7i - 7*b^2)^2)*(3^(1/2)*b^2*7i - 7*b^2))/(9*a^(10/3)) - (log(588*a^3*b^4*(a + b*x)^(1/3) - 3*a^(10/3)*(3^(1/2)*b^2*7i + 7*b^2)^2)*(3^(1/2)*b^2*7i + 7*b^2))/(9*a^(10/3)) + (14*b^2*log(588*a^3*b^4*(a + b*x)^(1/3) - 588*a^(10/3)*b^4))/(9*a^(10/3))","B"
420,1,105,71,0.101171,"\text{Not used}","int(1/(x*(b^3*x + a^3)^(1/3)),x)","\frac{\ln\left(9\,{\left(a^3+x\,b^3\right)}^{1/3}-9\,a\right)}{a}+\frac{\ln\left(9\,{\left(a^3+x\,b^3\right)}^{1/3}-\frac{9\,a\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a}-\frac{\ln\left(9\,{\left(a^3+x\,b^3\right)}^{1/3}-\frac{9\,a\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a}","Not used",1,"log(9*(b^3*x + a^3)^(1/3) - 9*a)/a + (log(9*(b^3*x + a^3)^(1/3) - (9*a*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(2*a) - (log(9*(b^3*x + a^3)^(1/3) - (9*a*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(2*a)","B"
421,1,108,73,0.128370,"\text{Not used}","int(1/(x*(a^3 - b^3*x)^(1/3)),x)","\frac{\ln\left(9\,{\left(a^3-b^3\,x\right)}^{1/3}-9\,a\right)}{a}+\frac{\ln\left(9\,{\left(a^3-b^3\,x\right)}^{1/3}-\frac{9\,a\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a}-\frac{\ln\left(9\,{\left(a^3-b^3\,x\right)}^{1/3}-\frac{9\,a\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a}","Not used",1,"log(9*(a^3 - b^3*x)^(1/3) - 9*a)/a + (log(9*(a^3 - b^3*x)^(1/3) - (9*a*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(2*a) - (log(9*(a^3 - b^3*x)^(1/3) - (9*a*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(2*a)","B"
422,1,112,74,0.107675,"\text{Not used}","int(1/(x*(b^3*x - a^3)^(1/3)),x)","-\frac{\ln\left(9\,a+9\,{\left(b^3\,x-a^3\right)}^{1/3}\right)}{a}-\frac{\ln\left(\frac{9\,a\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}+9\,{\left(b^3\,x-a^3\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a}+\frac{\ln\left(\frac{9\,a\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}+9\,{\left(b^3\,x-a^3\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a}","Not used",1,"(log((9*a*(3^(1/2)*1i + 1)^2)/4 + 9*(b^3*x - a^3)^(1/3))*(3^(1/2)*1i + 1))/(2*a) - (log((9*a*(3^(1/2)*1i - 1)^2)/4 + 9*(b^3*x - a^3)^(1/3))*(3^(1/2)*1i - 1))/(2*a) - log(9*a + 9*(b^3*x - a^3)^(1/3))/a","B"
423,1,115,76,0.072476,"\text{Not used}","int(1/(x*(- b^3*x - a^3)^(1/3)),x)","-\frac{\ln\left(9\,a+9\,{\left(-a^3-x\,b^3\right)}^{1/3}\right)}{a}-\frac{\ln\left(\frac{9\,a\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}+9\,{\left(-a^3-x\,b^3\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a}+\frac{\ln\left(\frac{9\,a\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}+9\,{\left(-a^3-x\,b^3\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a}","Not used",1,"(log((9*a*(3^(1/2)*1i + 1)^2)/4 + 9*(- b^3*x - a^3)^(1/3))*(3^(1/2)*1i + 1))/(2*a) - (log((9*a*(3^(1/2)*1i - 1)^2)/4 + 9*(- b^3*x - a^3)^(1/3))*(3^(1/2)*1i - 1))/(2*a) - log(9*a + 9*(- b^3*x - a^3)^(1/3))/a","B"
424,1,101,72,0.140728,"\text{Not used}","int(1/(x*(b^3*x + a^3)^(2/3)),x)","\frac{\ln\left(9\,a-9\,{\left(a^3+x\,b^3\right)}^{1/3}\right)}{a^2}+\frac{\ln\left(9\,{\left(a^3+x\,b^3\right)}^{1/3}-\frac{9\,a\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^2}-\frac{\ln\left(9\,{\left(a^3+x\,b^3\right)}^{1/3}+\frac{9\,a\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^2}","Not used",1,"log(9*a - 9*(b^3*x + a^3)^(1/3))/a^2 + (log(9*(b^3*x + a^3)^(1/3) - (9*a*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(2*a^2) - (log(9*(b^3*x + a^3)^(1/3) + (9*a*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(2*a^2)","B"
425,1,104,74,0.107131,"\text{Not used}","int(1/(x*(a^3 - b^3*x)^(2/3)),x)","\frac{\ln\left(9\,a-9\,{\left(a^3-b^3\,x\right)}^{1/3}\right)}{a^2}+\frac{\ln\left(9\,{\left(a^3-b^3\,x\right)}^{1/3}-\frac{9\,a\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^2}-\frac{\ln\left(9\,{\left(a^3-b^3\,x\right)}^{1/3}+\frac{9\,a\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^2}","Not used",1,"log(9*a - 9*(a^3 - b^3*x)^(1/3))/a^2 + (log(9*(a^3 - b^3*x)^(1/3) - (9*a*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(2*a^2) - (log(9*(a^3 - b^3*x)^(1/3) + (9*a*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(2*a^2)","B"
426,1,107,74,0.156106,"\text{Not used}","int(1/(x*(b^3*x - a^3)^(2/3)),x)","\frac{\ln\left(9\,a+9\,{\left(b^3\,x-a^3\right)}^{1/3}\right)}{a^2}+\frac{\ln\left(9\,{\left(b^3\,x-a^3\right)}^{1/3}+\frac{9\,a\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^2}-\frac{\ln\left(9\,{\left(b^3\,x-a^3\right)}^{1/3}-\frac{9\,a\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^2}","Not used",1,"log(9*a + 9*(b^3*x - a^3)^(1/3))/a^2 + (log(9*(b^3*x - a^3)^(1/3) + (9*a*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(2*a^2) - (log(9*(b^3*x - a^3)^(1/3) - (9*a*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(2*a^2)","B"
427,1,110,76,0.160209,"\text{Not used}","int(1/(x*(- b^3*x - a^3)^(2/3)),x)","\frac{\ln\left(9\,a+9\,{\left(-a^3-x\,b^3\right)}^{1/3}\right)}{a^2}+\frac{\ln\left(9\,{\left(-a^3-x\,b^3\right)}^{1/3}+\frac{9\,a\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^2}-\frac{\ln\left(9\,{\left(-a^3-x\,b^3\right)}^{1/3}-\frac{9\,a\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^2}","Not used",1,"log(9*a + 9*(- b^3*x - a^3)^(1/3))/a^2 + (log(9*(- b^3*x - a^3)^(1/3) + (9*a*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(2*a^2) - (log(9*(- b^3*x - a^3)^(1/3) - (9*a*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(2*a^2)","B"
428,1,30,25,0.313422,"\text{Not used}","int(x^m*(a + b*x),x)","\frac{x^{m+1}\,\left(2\,a+a\,m+b\,x+b\,m\,x\right)}{m^2+3\,m+2}","Not used",1,"(x^(m + 1)*(2*a + a*m + b*x + b*m*x))/(3*m + m^2 + 2)","B"
429,1,13,21,0.091424,"\text{Not used}","int(x^(5/2)*(a + b*x),x)","\frac{2\,x^{7/2}\,\left(9\,a+7\,b\,x\right)}{63}","Not used",1,"(2*x^(7/2)*(9*a + 7*b*x))/63","B"
430,1,13,21,0.027031,"\text{Not used}","int(x^(3/2)*(a + b*x),x)","\frac{2\,x^{5/2}\,\left(7\,a+5\,b\,x\right)}{35}","Not used",1,"(2*x^(5/2)*(7*a + 5*b*x))/35","B"
431,1,13,21,0.024671,"\text{Not used}","int(x^(1/2)*(a + b*x),x)","\frac{2\,x^{3/2}\,\left(5\,a+3\,b\,x\right)}{15}","Not used",1,"(2*x^(3/2)*(5*a + 3*b*x))/15","B"
432,1,12,19,0.025490,"\text{Not used}","int((a + b*x)/x^(1/2),x)","\frac{2\,\sqrt{x}\,\left(3\,a+b\,x\right)}{3}","Not used",1,"(2*x^(1/2)*(3*a + b*x))/3","B"
433,1,11,17,0.027554,"\text{Not used}","int((a + b*x)/x^(3/2),x)","-\frac{2\,\left(a-b\,x\right)}{\sqrt{x}}","Not used",1,"-(2*(a - b*x))/x^(1/2)","B"
434,1,13,19,0.026509,"\text{Not used}","int((a + b*x)/x^(5/2),x)","-\frac{2\,a+6\,b\,x}{3\,x^{3/2}}","Not used",1,"-(2*a + 6*b*x)/(3*x^(3/2))","B"
435,1,93,43,0.416371,"\text{Not used}","int(x^m*(a + b*x)^2,x)","x^m\,\left(\frac{a^2\,x\,\left(m^2+5\,m+6\right)}{m^3+6\,m^2+11\,m+6}+\frac{b^2\,x^3\,\left(m^2+3\,m+2\right)}{m^3+6\,m^2+11\,m+6}+\frac{2\,a\,b\,x^2\,\left(m^2+4\,m+3\right)}{m^3+6\,m^2+11\,m+6}\right)","Not used",1,"x^m*((a^2*x*(5*m + m^2 + 6))/(11*m + 6*m^2 + m^3 + 6) + (b^2*x^3*(3*m + m^2 + 2))/(11*m + 6*m^2 + m^3 + 6) + (2*a*b*x^2*(4*m + m^2 + 3))/(11*m + 6*m^2 + m^3 + 6))","B"
436,1,24,36,0.102830,"\text{Not used}","int(x^(5/2)*(a + b*x)^2,x)","\frac{2\,x^{7/2}\,\left(99\,a^2+154\,a\,b\,x+63\,b^2\,x^2\right)}{693}","Not used",1,"(2*x^(7/2)*(99*a^2 + 63*b^2*x^2 + 154*a*b*x))/693","B"
437,1,24,36,0.035173,"\text{Not used}","int(x^(3/2)*(a + b*x)^2,x)","\frac{2\,x^{5/2}\,\left(63\,a^2+90\,a\,b\,x+35\,b^2\,x^2\right)}{315}","Not used",1,"(2*x^(5/2)*(63*a^2 + 35*b^2*x^2 + 90*a*b*x))/315","B"
438,1,24,36,0.042418,"\text{Not used}","int(x^(1/2)*(a + b*x)^2,x)","\frac{2\,x^{3/2}\,\left(35\,a^2+42\,a\,b\,x+15\,b^2\,x^2\right)}{105}","Not used",1,"(2*x^(3/2)*(35*a^2 + 15*b^2*x^2 + 42*a*b*x))/105","B"
439,1,24,34,0.036909,"\text{Not used}","int((a + b*x)^2/x^(1/2),x)","\frac{2\,\sqrt{x}\,\left(15\,a^2+10\,a\,b\,x+3\,b^2\,x^2\right)}{15}","Not used",1,"(2*x^(1/2)*(15*a^2 + 3*b^2*x^2 + 10*a*b*x))/15","B"
440,1,24,32,0.034991,"\text{Not used}","int((a + b*x)^2/x^(3/2),x)","\frac{-6\,a^2+12\,a\,b\,x+2\,b^2\,x^2}{3\,\sqrt{x}}","Not used",1,"(2*b^2*x^2 - 6*a^2 + 12*a*b*x)/(3*x^(1/2))","B"
441,1,24,32,0.030218,"\text{Not used}","int((a + b*x)^2/x^(5/2),x)","-\frac{2\,a^2+12\,a\,b\,x-6\,b^2\,x^2}{3\,x^{3/2}}","Not used",1,"-(2*a^2 - 6*b^2*x^2 + 12*a*b*x)/(3*x^(3/2))","B"
442,1,167,61,0.388717,"\text{Not used}","int(x^m*(a + b*x)^3,x)","x^m\,\left(\frac{a^3\,x\,\left(m^3+9\,m^2+26\,m+24\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{b^3\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{3\,a\,b^2\,x^3\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{3\,a^2\,b\,x^2\,\left(m^3+8\,m^2+19\,m+12\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}\right)","Not used",1,"x^m*((a^3*x*(26*m + 9*m^2 + m^3 + 24))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (b^3*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (3*a*b^2*x^3*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (3*a^2*b*x^2*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
443,1,35,51,0.044727,"\text{Not used}","int(x^(5/2)*(a + b*x)^3,x)","\frac{2\,a^3\,x^{7/2}}{7}+\frac{2\,b^3\,x^{13/2}}{13}+\frac{2\,a^2\,b\,x^{9/2}}{3}+\frac{6\,a\,b^2\,x^{11/2}}{11}","Not used",1,"(2*a^3*x^(7/2))/7 + (2*b^3*x^(13/2))/13 + (2*a^2*b*x^(9/2))/3 + (6*a*b^2*x^(11/2))/11","B"
444,1,35,51,0.045578,"\text{Not used}","int(x^(3/2)*(a + b*x)^3,x)","\frac{2\,a^3\,x^{5/2}}{5}+\frac{2\,b^3\,x^{11/2}}{11}+\frac{6\,a^2\,b\,x^{7/2}}{7}+\frac{2\,a\,b^2\,x^{9/2}}{3}","Not used",1,"(2*a^3*x^(5/2))/5 + (2*b^3*x^(11/2))/11 + (6*a^2*b*x^(7/2))/7 + (2*a*b^2*x^(9/2))/3","B"
445,1,35,51,0.042073,"\text{Not used}","int(x^(1/2)*(a + b*x)^3,x)","\frac{2\,a^3\,x^{3/2}}{3}+\frac{2\,b^3\,x^{9/2}}{9}+\frac{6\,a^2\,b\,x^{5/2}}{5}+\frac{6\,a\,b^2\,x^{7/2}}{7}","Not used",1,"(2*a^3*x^(3/2))/3 + (2*b^3*x^(9/2))/9 + (6*a^2*b*x^(5/2))/5 + (6*a*b^2*x^(7/2))/7","B"
446,1,35,47,0.042696,"\text{Not used}","int((a + b*x)^3/x^(1/2),x)","2\,a^3\,\sqrt{x}+\frac{2\,b^3\,x^{7/2}}{7}+2\,a^2\,b\,x^{3/2}+\frac{6\,a\,b^2\,x^{5/2}}{5}","Not used",1,"2*a^3*x^(1/2) + (2*b^3*x^(7/2))/7 + 2*a^2*b*x^(3/2) + (6*a*b^2*x^(5/2))/5","B"
447,1,35,45,0.046523,"\text{Not used}","int((a + b*x)^3/x^(3/2),x)","\frac{2\,b^3\,x^{5/2}}{5}-\frac{2\,a^3}{\sqrt{x}}+6\,a^2\,b\,\sqrt{x}+2\,a\,b^2\,x^{3/2}","Not used",1,"(2*b^3*x^(5/2))/5 - (2*a^3)/x^(1/2) + 6*a^2*b*x^(1/2) + 2*a*b^2*x^(3/2)","B"
448,1,35,47,0.039240,"\text{Not used}","int((a + b*x)^3/x^(5/2),x)","-\frac{2\,a^3+18\,a^2\,b\,x-18\,a\,b^2\,x^2-2\,b^3\,x^3}{3\,x^{3/2}}","Not used",1,"-(2*a^3 - 2*b^3*x^3 - 18*a*b^2*x^2 + 18*a^2*b*x)/(3*x^(3/2))","B"
449,1,48,68,0.056749,"\text{Not used}","int(x^(5/2)/(a + b*x),x)","\frac{2\,x^{5/2}}{5\,b}-\frac{2\,a\,x^{3/2}}{3\,b^2}+\frac{2\,a^2\,\sqrt{x}}{b^3}-\frac{2\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{b^{7/2}}","Not used",1,"(2*x^(5/2))/(5*b) - (2*a*x^(3/2))/(3*b^2) + (2*a^2*x^(1/2))/b^3 - (2*a^(5/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/b^(7/2)","B"
450,1,37,53,0.052018,"\text{Not used}","int(x^(3/2)/(a + b*x),x)","\frac{2\,x^{3/2}}{3\,b}-\frac{2\,a\,\sqrt{x}}{b^2}+\frac{2\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{b^{5/2}}","Not used",1,"(2*x^(3/2))/(3*b) - (2*a*x^(1/2))/b^2 + (2*a^(3/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/b^(5/2)","B"
451,1,28,40,0.040809,"\text{Not used}","int(x^(1/2)/(a + b*x),x)","\frac{2\,\sqrt{x}}{b}-\frac{2\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{b^{3/2}}","Not used",1,"(2*x^(1/2))/b - (2*a^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/b^(3/2)","B"
452,1,19,29,0.043911,"\text{Not used}","int(1/(x^(1/2)*(a + b*x)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"(2*atan((b^(1/2)*x^(1/2))/a^(1/2)))/(a^(1/2)*b^(1/2))","B"
453,1,28,40,0.043886,"\text{Not used}","int(1/(x^(3/2)*(a + b*x)),x)","-\frac{2}{a\,\sqrt{x}}-\frac{2\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{3/2}}","Not used",1,"- 2/(a*x^(1/2)) - (2*b^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/a^(3/2)","B"
454,1,38,53,0.102197,"\text{Not used}","int(1/(x^(5/2)*(a + b*x)),x)","\frac{2\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{\frac{2}{3\,a}-\frac{2\,b\,x}{a^2}}{x^{3/2}}","Not used",1,"(2*b^(3/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/a^(5/2) - (2/(3*a) - (2*b*x)/a^2)/x^(3/2)","B"
455,1,49,68,0.110006,"\text{Not used}","int(1/(x^(7/2)*(a + b*x)),x)","-\frac{\frac{2}{5\,a}+\frac{2\,b^2\,x^2}{a^3}-\frac{2\,b\,x}{3\,a^2}}{x^{5/2}}-\frac{2\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{7/2}}","Not used",1,"- (2/(5*a) + (2*b^2*x^2)/a^3 - (2*b*x)/(3*a^2))/x^(5/2) - (2*b^(5/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/a^(7/2)","B"
456,1,58,70,0.113611,"\text{Not used}","int(x^(5/2)/(a + b*x)^2,x)","\frac{2\,x^{3/2}}{3\,b^2}-\frac{4\,a\,\sqrt{x}}{b^3}-\frac{a^2\,\sqrt{x}}{x\,b^4+a\,b^3}+\frac{5\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{b^{7/2}}","Not used",1,"(2*x^(3/2))/(3*b^2) - (4*a*x^(1/2))/b^3 - (a^2*x^(1/2))/(a*b^3 + b^4*x) + (5*a^(3/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/b^(7/2)","B"
457,1,46,57,0.123583,"\text{Not used}","int(x^(3/2)/(a + b*x)^2,x)","\frac{2\,\sqrt{x}}{b^2}+\frac{a\,\sqrt{x}}{x\,b^3+a\,b^2}-\frac{3\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{b^{5/2}}","Not used",1,"(2*x^(1/2))/b^2 + (a*x^(1/2))/(a*b^2 + b^3*x) - (3*a^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/b^(5/2)","B"
458,1,34,46,0.040379,"\text{Not used}","int(x^(1/2)/(a + b*x)^2,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{\sqrt{a}\,b^{3/2}}-\frac{\sqrt{x}}{b\,\left(a+b\,x\right)}","Not used",1,"atan((b^(1/2)*x^(1/2))/a^(1/2))/(a^(1/2)*b^(3/2)) - x^(1/2)/(b*(a + b*x))","B"
459,1,33,45,0.094717,"\text{Not used}","int(1/(x^(1/2)*(a + b*x)^2),x)","\frac{\sqrt{x}}{a\,\left(a+b\,x\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{3/2}\,\sqrt{b}}","Not used",1,"x^(1/2)/(a*(a + b*x)) + atan((b^(1/2)*x^(1/2))/a^(1/2))/(a^(3/2)*b^(1/2))","B"
460,1,48,56,0.124320,"\text{Not used}","int(1/(x^(3/2)*(a + b*x)^2),x)","-\frac{\frac{2}{a}+\frac{3\,b\,x}{a^2}}{a\,\sqrt{x}+b\,x^{3/2}}-\frac{3\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{5/2}}","Not used",1,"- (2/a + (3*b*x)/a^2)/(a*x^(1/2) + b*x^(3/2)) - (3*b^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/a^(5/2)","B"
461,1,58,69,0.149775,"\text{Not used}","int(1/(x^(5/2)*(a + b*x)^2),x)","\frac{\frac{5\,b^2\,x^2}{a^3}-\frac{2}{3\,a}+\frac{10\,b\,x}{3\,a^2}}{a\,x^{3/2}+b\,x^{5/2}}+\frac{5\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{7/2}}","Not used",1,"((5*b^2*x^2)/a^3 - 2/(3*a) + (10*b*x)/(3*a^2))/(a*x^(3/2) + b*x^(5/2)) + (5*b^(3/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/a^(7/2)","B"
462,1,81,95,0.122293,"\text{Not used}","int(x^(7/2)/(a + b*x)^3,x)","\frac{2\,x^{3/2}}{3\,b^3}-\frac{\frac{11\,a^3\,\sqrt{x}}{4}+\frac{13\,a^2\,b\,x^{3/2}}{4}}{a^2\,b^4+2\,a\,b^5\,x+b^6\,x^2}-\frac{6\,a\,\sqrt{x}}{b^4}+\frac{35\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,b^{9/2}}","Not used",1,"(2*x^(3/2))/(3*b^3) - ((11*a^3*x^(1/2))/4 + (13*a^2*b*x^(3/2))/4)/(a^2*b^4 + b^6*x^2 + 2*a*b^5*x) - (6*a*x^(1/2))/b^4 + (35*a^(3/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/(4*b^(9/2))","B"
463,1,69,82,0.142775,"\text{Not used}","int(x^(5/2)/(a + b*x)^3,x)","\frac{\frac{7\,a^2\,\sqrt{x}}{4}+\frac{9\,a\,b\,x^{3/2}}{4}}{a^2\,b^3+2\,a\,b^4\,x+b^5\,x^2}+\frac{2\,\sqrt{x}}{b^3}-\frac{15\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,b^{7/2}}","Not used",1,"((7*a^2*x^(1/2))/4 + (9*a*b*x^(3/2))/4)/(a^2*b^3 + b^5*x^2 + 2*a*b^4*x) + (2*x^(1/2))/b^3 - (15*a^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/(4*b^(7/2))","B"
464,1,58,70,0.131373,"\text{Not used}","int(x^(3/2)/(a + b*x)^3,x)","\frac{3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,\sqrt{a}\,b^{5/2}}-\frac{\frac{5\,x^{3/2}}{4\,b}+\frac{3\,a\,\sqrt{x}}{4\,b^2}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"(3*atan((b^(1/2)*x^(1/2))/a^(1/2)))/(4*a^(1/2)*b^(5/2)) - ((5*x^(3/2))/(4*b) + (3*a*x^(1/2))/(4*b^2))/(a^2 + b^2*x^2 + 2*a*b*x)","B"
465,1,56,73,0.125166,"\text{Not used}","int(x^(1/2)/(a + b*x)^3,x)","\frac{\frac{x^{3/2}}{4\,a}-\frac{\sqrt{x}}{4\,b}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,a^{3/2}\,b^{3/2}}","Not used",1,"(x^(3/2)/(4*a) - x^(1/2)/(4*b))/(a^2 + b^2*x^2 + 2*a*b*x) + atan((b^(1/2)*x^(1/2))/a^(1/2))/(4*a^(3/2)*b^(3/2))","B"
466,1,57,70,0.125794,"\text{Not used}","int(1/(x^(1/2)*(a + b*x)^3),x)","\frac{\frac{5\,\sqrt{x}}{4\,a}+\frac{3\,b\,x^{3/2}}{4\,a^2}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,a^{5/2}\,\sqrt{b}}","Not used",1,"((5*x^(1/2))/(4*a) + (3*b*x^(3/2))/(4*a^2))/(a^2 + b^2*x^2 + 2*a*b*x) + (3*atan((b^(1/2)*x^(1/2))/a^(1/2)))/(4*a^(5/2)*b^(1/2))","B"
467,1,70,82,0.149296,"\text{Not used}","int(1/(x^(3/2)*(a + b*x)^3),x)","-\frac{\frac{2}{a}+\frac{15\,b^2\,x^2}{4\,a^3}+\frac{25\,b\,x}{4\,a^2}}{a^2\,\sqrt{x}+b^2\,x^{5/2}+2\,a\,b\,x^{3/2}}-\frac{15\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,a^{7/2}}","Not used",1,"- (2/a + (15*b^2*x^2)/(4*a^3) + (25*b*x)/(4*a^2))/(a^2*x^(1/2) + b^2*x^(5/2) + 2*a*b*x^(3/2)) - (15*b^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/(4*a^(7/2))","B"
468,1,80,95,0.155355,"\text{Not used}","int(1/(x^(5/2)*(a + b*x)^3),x)","\frac{\frac{175\,b^2\,x^2}{12\,a^3}-\frac{2}{3\,a}+\frac{35\,b^3\,x^3}{4\,a^4}+\frac{14\,b\,x}{3\,a^2}}{a^2\,x^{3/2}+b^2\,x^{7/2}+2\,a\,b\,x^{5/2}}+\frac{35\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,a^{9/2}}","Not used",1,"((175*b^2*x^2)/(12*a^3) - 2/(3*a) + (35*b^3*x^3)/(4*a^4) + (14*b*x)/(3*a^2))/(a^2*x^(3/2) + b^2*x^(7/2) + 2*a*b*x^(5/2)) + (35*b^(3/2)*atan((b^(1/2)*x^(1/2))/a^(1/2)))/(4*a^(9/2))","B"
469,1,51,68,0.146879,"\text{Not used}","int(-x^(5/2)/(a - b*x),x)","\frac{2\,x^{5/2}}{5\,b}+\frac{2\,a\,x^{3/2}}{3\,b^2}+\frac{2\,a^2\,\sqrt{x}}{b^3}+\frac{a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,2{}\mathrm{i}}{b^{7/2}}","Not used",1,"(2*x^(5/2))/(5*b) + (2*a*x^(3/2))/(3*b^2) + (2*a^2*x^(1/2))/b^3 + (a^(5/2)*atan((b^(1/2)*x^(1/2)*1i)/a^(1/2))*2i)/b^(7/2)","B"
470,1,37,53,0.113958,"\text{Not used}","int(-x^(3/2)/(a - b*x),x)","\frac{2\,x^{3/2}}{3\,b}+\frac{2\,a\,\sqrt{x}}{b^2}-\frac{2\,a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{b^{5/2}}","Not used",1,"(2*x^(3/2))/(3*b) + (2*a*x^(1/2))/b^2 - (2*a^(3/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/b^(5/2)","B"
471,1,28,40,0.112389,"\text{Not used}","int(-x^(1/2)/(a - b*x),x)","\frac{2\,\sqrt{x}}{b}-\frac{2\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{b^{3/2}}","Not used",1,"(2*x^(1/2))/b - (2*a^(1/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/b^(3/2)","B"
472,1,19,29,0.125404,"\text{Not used}","int(-1/(x^(1/2)*(a - b*x)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"-(2*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/(a^(1/2)*b^(1/2))","B"
473,1,28,40,0.056116,"\text{Not used}","int(-1/(x^(3/2)*(a - b*x)),x)","\frac{2}{a\,\sqrt{x}}-\frac{2\,\sqrt{b}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{3/2}}","Not used",1,"2/(a*x^(1/2)) - (2*b^(1/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/a^(3/2)","B"
474,1,37,53,0.122342,"\text{Not used}","int(-1/(x^(5/2)*(a - b*x)),x)","\frac{\frac{2}{3\,a}+\frac{2\,b\,x}{a^2}}{x^{3/2}}-\frac{2\,b^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{5/2}}","Not used",1,"(2/(3*a) + (2*b*x)/a^2)/x^(3/2) - (2*b^(3/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/a^(5/2)","B"
475,1,48,68,0.128559,"\text{Not used}","int(-1/(x^(7/2)*(a - b*x)),x)","\frac{\frac{2}{5\,a}+\frac{2\,b^2\,x^2}{a^3}+\frac{2\,b\,x}{3\,a^2}}{x^{5/2}}-\frac{2\,b^{5/2}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{7/2}}","Not used",1,"(2/(5*a) + (2*b^2*x^2)/a^3 + (2*b*x)/(3*a^2))/x^(5/2) - (2*b^(5/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/a^(7/2)","B"
476,1,61,70,0.071468,"\text{Not used}","int(x^(5/2)/(a - b*x)^2,x)","\frac{2\,x^{3/2}}{3\,b^2}+\frac{4\,a\,\sqrt{x}}{b^3}+\frac{a^2\,\sqrt{x}}{a\,b^3-b^4\,x}+\frac{a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{b^{7/2}}","Not used",1,"(2*x^(3/2))/(3*b^2) + (4*a*x^(1/2))/b^3 + (a^2*x^(1/2))/(a*b^3 - b^4*x) + (a^(3/2)*atan((b^(1/2)*x^(1/2)*1i)/a^(1/2))*5i)/b^(7/2)","B"
477,1,47,57,0.114705,"\text{Not used}","int(x^(3/2)/(a - b*x)^2,x)","\frac{2\,\sqrt{x}}{b^2}+\frac{a\,\sqrt{x}}{a\,b^2-b^3\,x}-\frac{3\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{b^{5/2}}","Not used",1,"(2*x^(1/2))/b^2 + (a*x^(1/2))/(a*b^2 - b^3*x) - (3*a^(1/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/b^(5/2)","B"
478,1,35,47,0.112452,"\text{Not used}","int(x^(1/2)/(a - b*x)^2,x)","\frac{\sqrt{x}}{b\,\left(a-b\,x\right)}-\frac{\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{\sqrt{a}\,b^{3/2}}","Not used",1,"x^(1/2)/(b*(a - b*x)) - atanh((b^(1/2)*x^(1/2))/a^(1/2))/(a^(1/2)*b^(3/2))","B"
479,1,34,46,0.054947,"\text{Not used}","int(1/(x^(1/2)*(a - b*x)^2),x)","\frac{\sqrt{x}}{a\,\left(a-b\,x\right)}+\frac{\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{3/2}\,\sqrt{b}}","Not used",1,"x^(1/2)/(a*(a - b*x)) + atanh((b^(1/2)*x^(1/2))/a^(1/2))/(a^(3/2)*b^(1/2))","B"
480,1,49,57,0.073288,"\text{Not used}","int(1/(x^(3/2)*(a - b*x)^2),x)","\frac{3\,\sqrt{b}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{\frac{2}{a}-\frac{3\,b\,x}{a^2}}{a\,\sqrt{x}-b\,x^{3/2}}","Not used",1,"(3*b^(1/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/a^(5/2) - (2/a - (3*b*x)/a^2)/(a*x^(1/2) - b*x^(3/2))","B"
481,1,60,70,0.137586,"\text{Not used}","int(1/(x^(5/2)*(a - b*x)^2),x)","\frac{5\,b^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{a^{7/2}}-\frac{\frac{2}{3\,a}-\frac{5\,b^2\,x^2}{a^3}+\frac{10\,b\,x}{3\,a^2}}{a\,x^{3/2}-b\,x^{5/2}}","Not used",1,"(5*b^(3/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/a^(7/2) - (2/(3*a) - (5*b^2*x^2)/a^3 + (10*b*x)/(3*a^2))/(a*x^(3/2) - b*x^(5/2))","B"
482,1,83,97,0.141393,"\text{Not used}","int(-x^(7/2)/(a - b*x)^3,x)","\frac{\frac{11\,a^3\,\sqrt{x}}{4}-\frac{13\,a^2\,b\,x^{3/2}}{4}}{a^2\,b^4-2\,a\,b^5\,x+b^6\,x^2}+\frac{2\,x^{3/2}}{3\,b^3}+\frac{6\,a\,\sqrt{x}}{b^4}+\frac{a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,35{}\mathrm{i}}{4\,b^{9/2}}","Not used",1,"((11*a^3*x^(1/2))/4 - (13*a^2*b*x^(3/2))/4)/(a^2*b^4 + b^6*x^2 - 2*a*b^5*x) + (2*x^(3/2))/(3*b^3) + (6*a*x^(1/2))/b^4 + (a^(3/2)*atan((b^(1/2)*x^(1/2)*1i)/a^(1/2))*35i)/(4*b^(9/2))","B"
483,1,69,84,0.064805,"\text{Not used}","int(-x^(5/2)/(a - b*x)^3,x)","\frac{\frac{7\,a^2\,\sqrt{x}}{4}-\frac{9\,a\,b\,x^{3/2}}{4}}{a^2\,b^3-2\,a\,b^4\,x+b^5\,x^2}+\frac{2\,\sqrt{x}}{b^3}-\frac{15\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,b^{7/2}}","Not used",1,"((7*a^2*x^(1/2))/4 - (9*a*b*x^(3/2))/4)/(a^2*b^3 + b^5*x^2 - 2*a*b^4*x) + (2*x^(1/2))/b^3 - (15*a^(1/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/(4*b^(7/2))","B"
484,1,58,72,0.143288,"\text{Not used}","int(-x^(3/2)/(a - b*x)^3,x)","-\frac{\frac{5\,x^{3/2}}{4\,b}-\frac{3\,a\,\sqrt{x}}{4\,b^2}}{a^2-2\,a\,b\,x+b^2\,x^2}-\frac{3\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,\sqrt{a}\,b^{5/2}}","Not used",1,"- ((5*x^(3/2))/(4*b) - (3*a*x^(1/2))/(4*b^2))/(a^2 + b^2*x^2 - 2*a*b*x) - (3*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/(4*a^(1/2)*b^(5/2))","B"
485,1,57,75,0.137170,"\text{Not used}","int(-x^(1/2)/(a - b*x)^3,x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,a^{3/2}\,b^{3/2}}-\frac{\frac{x^{3/2}}{4\,a}+\frac{\sqrt{x}}{4\,b}}{a^2-2\,a\,b\,x+b^2\,x^2}","Not used",1,"atanh((b^(1/2)*x^(1/2))/a^(1/2))/(4*a^(3/2)*b^(3/2)) - (x^(3/2)/(4*a) + x^(1/2)/(4*b))/(a^2 + b^2*x^2 - 2*a*b*x)","B"
486,1,58,72,0.134958,"\text{Not used}","int(-1/(x^(1/2)*(a - b*x)^3),x)","-\frac{\frac{5\,\sqrt{x}}{4\,a}-\frac{3\,b\,x^{3/2}}{4\,a^2}}{a^2-2\,a\,b\,x+b^2\,x^2}-\frac{3\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,a^{5/2}\,\sqrt{b}}","Not used",1,"- ((5*x^(1/2))/(4*a) - (3*b*x^(3/2))/(4*a^2))/(a^2 + b^2*x^2 - 2*a*b*x) - (3*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/(4*a^(5/2)*b^(1/2))","B"
487,1,69,84,0.154731,"\text{Not used}","int(-1/(x^(3/2)*(a - b*x)^3),x)","\frac{\frac{2}{a}+\frac{15\,b^2\,x^2}{4\,a^3}-\frac{25\,b\,x}{4\,a^2}}{a^2\,\sqrt{x}+b^2\,x^{5/2}-2\,a\,b\,x^{3/2}}-\frac{15\,\sqrt{b}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,a^{7/2}}","Not used",1,"(2/a + (15*b^2*x^2)/(4*a^3) - (25*b*x)/(4*a^2))/(a^2*x^(1/2) + b^2*x^(5/2) - 2*a*b*x^(3/2)) - (15*b^(1/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/(4*a^(7/2))","B"
488,1,80,97,0.165211,"\text{Not used}","int(-1/(x^(5/2)*(a - b*x)^3),x)","\frac{\frac{2}{3\,a}-\frac{175\,b^2\,x^2}{12\,a^3}+\frac{35\,b^3\,x^3}{4\,a^4}+\frac{14\,b\,x}{3\,a^2}}{a^2\,x^{3/2}+b^2\,x^{7/2}-2\,a\,b\,x^{5/2}}-\frac{35\,b^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)}{4\,a^{9/2}}","Not used",1,"(2/(3*a) - (175*b^2*x^2)/(12*a^3) + (35*b^3*x^3)/(4*a^4) + (14*b*x)/(3*a^2))/(a^2*x^(3/2) + b^2*x^(7/2) - 2*a*b*x^(5/2)) - (35*b^(3/2)*atanh((b^(1/2)*x^(1/2))/a^(1/2)))/(4*a^(9/2))","B"
489,0,-1,122,0.000000,"\text{Not used}","int(x^(5/2)*(a + b*x)^(1/2),x)","\int x^{5/2}\,\sqrt{a+b\,x} \,d x","Not used",1,"int(x^(5/2)*(a + b*x)^(1/2), x)","F"
490,0,-1,98,0.000000,"\text{Not used}","int(x^(3/2)*(a + b*x)^(1/2),x)","\int x^{3/2}\,\sqrt{a+b\,x} \,d x","Not used",1,"int(x^(3/2)*(a + b*x)^(1/2), x)","F"
491,1,52,74,0.150114,"\text{Not used}","int(x^(1/2)*(a + b*x)^(1/2),x)","\sqrt{x}\,\left(\frac{x}{2}+\frac{a}{4\,b}\right)\,\sqrt{a+b\,x}-\frac{a^2\,\ln\left(a+2\,b\,x+2\,\sqrt{b}\,\sqrt{x}\,\sqrt{a+b\,x}\right)}{8\,b^{3/2}}","Not used",1,"x^(1/2)*(x/2 + a/(4*b))*(a + b*x)^(1/2) - (a^2*log(a + 2*b*x + 2*b^(1/2)*x^(1/2)*(a + b*x)^(1/2)))/(8*b^(3/2))","B"
492,1,41,44,0.682965,"\text{Not used}","int((a + b*x)^(1/2)/x^(1/2),x)","\sqrt{x}\,\sqrt{a+b\,x}+\frac{2\,a\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a+b\,x}-\sqrt{a}}\right)}{\sqrt{b}}","Not used",1,"x^(1/2)*(a + b*x)^(1/2) + (2*a*atanh((b^(1/2)*x^(1/2))/((a + b*x)^(1/2) - a^(1/2))))/b^(1/2)","B"
493,0,-1,45,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/x^(3/2),x)","\int \frac{\sqrt{a+b\,x}}{x^{3/2}} \,d x","Not used",1,"int((a + b*x)^(1/2)/x^(3/2), x)","F"
494,1,21,21,0.237235,"\text{Not used}","int((a + b*x)^(1/2)/x^(5/2),x)","-\frac{\left(\frac{2\,b\,x}{3\,a}+\frac{2}{3}\right)\,\sqrt{a+b\,x}}{x^{3/2}}","Not used",1,"-(((2*b*x)/(3*a) + 2/3)*(a + b*x)^(1/2))/x^(3/2)","B"
495,1,32,44,0.254883,"\text{Not used}","int((a + b*x)^(1/2)/x^(7/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2\,b\,x}{15\,a}-\frac{4\,b^2\,x^2}{15\,a^2}+\frac{2}{5}\right)}{x^{5/2}}","Not used",1,"-((a + b*x)^(1/2)*((2*b*x)/(15*a) - (4*b^2*x^2)/(15*a^2) + 2/5))/x^(5/2)","B"
496,1,43,68,0.263878,"\text{Not used}","int((a + b*x)^(1/2)/x^(9/2),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{16\,b^3\,x^3}{105\,a^3}-\frac{8\,b^2\,x^2}{105\,a^2}+\frac{2\,b\,x}{35\,a}+\frac{2}{7}\right)}{x^{7/2}}","Not used",1,"-((a + b*x)^(1/2)*((16*b^3*x^3)/(105*a^3) - (8*b^2*x^2)/(105*a^2) + (2*b*x)/(35*a) + 2/7))/x^(7/2)","B"
497,0,-1,127,0.000000,"\text{Not used}","int(x^(5/2)*(a - b*x)^(1/2),x)","\int x^{5/2}\,\sqrt{a-b\,x} \,d x","Not used",1,"int(x^(5/2)*(a - b*x)^(1/2), x)","F"
498,0,-1,102,0.000000,"\text{Not used}","int(x^(3/2)*(a - b*x)^(1/2),x)","\int x^{3/2}\,\sqrt{a-b\,x} \,d x","Not used",1,"int(x^(3/2)*(a - b*x)^(1/2), x)","F"
499,1,58,77,0.082851,"\text{Not used}","int(x^(1/2)*(a - b*x)^(1/2),x)","\sqrt{x}\,\left(\frac{x}{2}-\frac{a}{4\,b}\right)\,\sqrt{a-b\,x}-\frac{a^2\,\ln\left(a-2\,b\,x+2\,\sqrt{-b}\,\sqrt{x}\,\sqrt{a-b\,x}\right)}{8\,{\left(-b\right)}^{3/2}}","Not used",1,"x^(1/2)*(x/2 - a/(4*b))*(a - b*x)^(1/2) - (a^2*log(a - 2*b*x + 2*(-b)^(1/2)*x^(1/2)*(a - b*x)^(1/2)))/(8*(-b)^(3/2))","B"
500,1,43,46,0.592764,"\text{Not used}","int((a - b*x)^(1/2)/x^(1/2),x)","\sqrt{x}\,\sqrt{a-b\,x}+\frac{2\,a\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a-b\,x}-\sqrt{a}}\right)}{\sqrt{b}}","Not used",1,"x^(1/2)*(a - b*x)^(1/2) + (2*a*atan((b^(1/2)*x^(1/2))/((a - b*x)^(1/2) - a^(1/2))))/b^(1/2)","B"
501,0,-1,47,0.000000,"\text{Not used}","int((a - b*x)^(1/2)/x^(3/2),x)","\int \frac{\sqrt{a-b\,x}}{x^{3/2}} \,d x","Not used",1,"int((a - b*x)^(1/2)/x^(3/2), x)","F"
502,1,21,22,0.242566,"\text{Not used}","int((a - b*x)^(1/2)/x^(5/2),x)","\frac{\left(\frac{2\,b\,x}{3\,a}-\frac{2}{3}\right)\,\sqrt{a-b\,x}}{x^{3/2}}","Not used",1,"(((2*b*x)/(3*a) - 2/3)*(a - b*x)^(1/2))/x^(3/2)","B"
503,1,32,46,0.253095,"\text{Not used}","int((a - b*x)^(1/2)/x^(7/2),x)","\frac{\sqrt{a-b\,x}\,\left(\frac{4\,b^2\,x^2}{15\,a^2}+\frac{2\,b\,x}{15\,a}-\frac{2}{5}\right)}{x^{5/2}}","Not used",1,"((a - b*x)^(1/2)*((4*b^2*x^2)/(15*a^2) + (2*b*x)/(15*a) - 2/5))/x^(5/2)","B"
504,1,43,71,0.268740,"\text{Not used}","int((a - b*x)^(1/2)/x^(9/2),x)","\frac{\sqrt{a-b\,x}\,\left(\frac{8\,b^2\,x^2}{105\,a^2}+\frac{16\,b^3\,x^3}{105\,a^3}+\frac{2\,b\,x}{35\,a}-\frac{2}{7}\right)}{x^{7/2}}","Not used",1,"((a - b*x)^(1/2)*((8*b^2*x^2)/(105*a^2) + (16*b^3*x^3)/(105*a^3) + (2*b*x)/(35*a) - 2/7))/x^(7/2)","B"
505,0,-1,108,0.000000,"\text{Not used}","int(x^(5/2)*(b*x + 2)^(1/2),x)","\int x^{5/2}\,\sqrt{b\,x+2} \,d x","Not used",1,"int(x^(5/2)*(b*x + 2)^(1/2), x)","F"
506,0,-1,84,0.000000,"\text{Not used}","int(x^(3/2)*(b*x + 2)^(1/2),x)","\int x^{3/2}\,\sqrt{b\,x+2} \,d x","Not used",1,"int(x^(3/2)*(b*x + 2)^(1/2), x)","F"
507,1,46,64,0.098282,"\text{Not used}","int(x^(1/2)*(b*x + 2)^(1/2),x)","\sqrt{x}\,\left(\frac{x}{2}+\frac{1}{2\,b}\right)\,\sqrt{b\,x+2}-\frac{\ln\left(b\,x+\sqrt{b}\,\sqrt{x}\,\sqrt{b\,x+2}+1\right)}{2\,b^{3/2}}","Not used",1,"x^(1/2)*(x/2 + 1/(2*b))*(b*x + 2)^(1/2) - log(b*x + b^(1/2)*x^(1/2)*(b*x + 2)^(1/2) + 1)/(2*b^(3/2))","B"
508,1,40,40,0.617181,"\text{Not used}","int((b*x + 2)^(1/2)/x^(1/2),x)","\sqrt{x}\,\sqrt{b\,x+2}-\frac{4\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{2}-\sqrt{b\,x+2}}\right)}{\sqrt{b}}","Not used",1,"x^(1/2)*(b*x + 2)^(1/2) - (4*atanh((b^(1/2)*x^(1/2))/(2^(1/2) - (b*x + 2)^(1/2))))/b^(1/2)","B"
509,0,-1,41,0.000000,"\text{Not used}","int((b*x + 2)^(1/2)/x^(3/2),x)","\int \frac{\sqrt{b\,x+2}}{x^{3/2}} \,d x","Not used",1,"int((b*x + 2)^(1/2)/x^(3/2), x)","F"
510,1,18,18,0.207764,"\text{Not used}","int((b*x + 2)^(1/2)/x^(5/2),x)","-\frac{\sqrt{b\,x+2}\,\left(\frac{b\,x}{3}+\frac{2}{3}\right)}{x^{3/2}}","Not used",1,"-((b*x + 2)^(1/2)*((b*x)/3 + 2/3))/x^(3/2)","B"
511,1,26,38,0.215444,"\text{Not used}","int((b*x + 2)^(1/2)/x^(7/2),x)","-\frac{\sqrt{b\,x+2}\,\left(-\frac{b^2\,x^2}{15}+\frac{b\,x}{15}+\frac{2}{5}\right)}{x^{5/2}}","Not used",1,"-((b*x + 2)^(1/2)*((b*x)/15 - (b^2*x^2)/15 + 2/5))/x^(5/2)","B"
512,1,34,59,0.224000,"\text{Not used}","int((b*x + 2)^(1/2)/x^(9/2),x)","-\frac{\sqrt{b\,x+2}\,\left(\frac{2\,b^3\,x^3}{105}-\frac{2\,b^2\,x^2}{105}+\frac{b\,x}{35}+\frac{2}{7}\right)}{x^{7/2}}","Not used",1,"-((b*x + 2)^(1/2)*((b*x)/35 - (2*b^2*x^2)/105 + (2*b^3*x^3)/105 + 2/7))/x^(7/2)","B"
513,0,-1,112,0.000000,"\text{Not used}","int(x^(5/2)*(2 - b*x)^(1/2),x)","\int x^{5/2}\,\sqrt{2-b\,x} \,d x","Not used",1,"int(x^(5/2)*(2 - b*x)^(1/2), x)","F"
514,0,-1,87,0.000000,"\text{Not used}","int(x^(3/2)*(2 - b*x)^(1/2),x)","\int x^{3/2}\,\sqrt{2-b\,x} \,d x","Not used",1,"int(x^(3/2)*(2 - b*x)^(1/2), x)","F"
515,1,53,65,0.104013,"\text{Not used}","int(x^(1/2)*(2 - b*x)^(1/2),x)","\sqrt{x}\,\left(\frac{x}{2}-\frac{1}{2\,b}\right)\,\sqrt{2-b\,x}-\frac{\ln\left(\sqrt{-b}\,\sqrt{x}\,\sqrt{2-b\,x}-b\,x+1\right)}{2\,{\left(-b\right)}^{3/2}}","Not used",1,"x^(1/2)*(x/2 - 1/(2*b))*(2 - b*x)^(1/2) - log((-b)^(1/2)*x^(1/2)*(2 - b*x)^(1/2) - b*x + 1)/(2*(-b)^(3/2))","B"
516,1,42,41,0.562490,"\text{Not used}","int((2 - b*x)^(1/2)/x^(1/2),x)","\sqrt{x}\,\sqrt{2-b\,x}-\frac{4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{2}-\sqrt{2-b\,x}}\right)}{\sqrt{b}}","Not used",1,"x^(1/2)*(2 - b*x)^(1/2) - (4*atan((b^(1/2)*x^(1/2))/(2^(1/2) - (2 - b*x)^(1/2))))/b^(1/2)","B"
517,0,-1,42,0.000000,"\text{Not used}","int((2 - b*x)^(1/2)/x^(3/2),x)","\int \frac{\sqrt{2-b\,x}}{x^{3/2}} \,d x","Not used",1,"int((2 - b*x)^(1/2)/x^(3/2), x)","F"
518,1,18,19,0.223720,"\text{Not used}","int((2 - b*x)^(1/2)/x^(5/2),x)","\frac{\sqrt{2-b\,x}\,\left(\frac{b\,x}{3}-\frac{2}{3}\right)}{x^{3/2}}","Not used",1,"((2 - b*x)^(1/2)*((b*x)/3 - 2/3))/x^(3/2)","B"
519,1,26,40,0.219414,"\text{Not used}","int((2 - b*x)^(1/2)/x^(7/2),x)","\frac{\sqrt{2-b\,x}\,\left(\frac{b^2\,x^2}{15}+\frac{b\,x}{15}-\frac{2}{5}\right)}{x^{5/2}}","Not used",1,"((2 - b*x)^(1/2)*((b*x)/15 + (b^2*x^2)/15 - 2/5))/x^(5/2)","B"
520,1,34,62,0.223995,"\text{Not used}","int((2 - b*x)^(1/2)/x^(9/2),x)","\frac{\sqrt{2-b\,x}\,\left(\frac{2\,b^3\,x^3}{105}+\frac{2\,b^2\,x^2}{105}+\frac{b\,x}{35}-\frac{2}{7}\right)}{x^{7/2}}","Not used",1,"((2 - b*x)^(1/2)*((b*x)/35 + (2*b^2*x^2)/105 + (2*b^3*x^3)/105 - 2/7))/x^(7/2)","B"
521,0,-1,143,0.000000,"\text{Not used}","int(x^(5/2)*(a + b*x)^(3/2),x)","\int x^{5/2}\,{\left(a+b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(5/2)*(a + b*x)^(3/2), x)","F"
522,0,-1,119,0.000000,"\text{Not used}","int(x^(3/2)*(a + b*x)^(3/2),x)","\int x^{3/2}\,{\left(a+b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(3/2)*(a + b*x)^(3/2), x)","F"
523,0,-1,95,0.000000,"\text{Not used}","int(x^(1/2)*(a + b*x)^(3/2),x)","\int \sqrt{x}\,{\left(a+b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(1/2)*(a + b*x)^(3/2), x)","F"
524,0,-1,71,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/x^(1/2),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"int((a + b*x)^(3/2)/x^(1/2), x)","F"
525,0,-1,63,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/x^(3/2),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^{3/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/x^(3/2), x)","F"
526,0,-1,64,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/x^(5/2),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{x^{5/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/x^(5/2), x)","F"
527,0,-1,149,0.000000,"\text{Not used}","int(x^(5/2)*(a - b*x)^(3/2),x)","\int x^{5/2}\,{\left(a-b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(5/2)*(a - b*x)^(3/2), x)","F"
528,0,-1,124,0.000000,"\text{Not used}","int(x^(3/2)*(a - b*x)^(3/2),x)","\int x^{3/2}\,{\left(a-b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(3/2)*(a - b*x)^(3/2), x)","F"
529,0,-1,99,0.000000,"\text{Not used}","int(x^(1/2)*(a - b*x)^(3/2),x)","\int \sqrt{x}\,{\left(a-b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(1/2)*(a - b*x)^(3/2), x)","F"
530,0,-1,74,0.000000,"\text{Not used}","int((a - b*x)^(3/2)/x^(1/2),x)","\int \frac{{\left(a-b\,x\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"int((a - b*x)^(3/2)/x^(1/2), x)","F"
531,0,-1,66,0.000000,"\text{Not used}","int((a - b*x)^(3/2)/x^(3/2),x)","\int \frac{{\left(a-b\,x\right)}^{3/2}}{x^{3/2}} \,d x","Not used",1,"int((a - b*x)^(3/2)/x^(3/2), x)","F"
532,0,-1,67,0.000000,"\text{Not used}","int((a - b*x)^(3/2)/x^(5/2),x)","\int \frac{{\left(a-b\,x\right)}^{3/2}}{x^{5/2}} \,d x","Not used",1,"int((a - b*x)^(3/2)/x^(5/2), x)","F"
533,0,-1,126,0.000000,"\text{Not used}","int(x^(5/2)*(b*x + 2)^(3/2),x)","\int x^{5/2}\,{\left(b\,x+2\right)}^{3/2} \,d x","Not used",1,"int(x^(5/2)*(b*x + 2)^(3/2), x)","F"
534,0,-1,105,0.000000,"\text{Not used}","int(x^(3/2)*(b*x + 2)^(3/2),x)","\int x^{3/2}\,{\left(b\,x+2\right)}^{3/2} \,d x","Not used",1,"int(x^(3/2)*(b*x + 2)^(3/2), x)","F"
535,0,-1,82,0.000000,"\text{Not used}","int(x^(1/2)*(b*x + 2)^(3/2),x)","\int \sqrt{x}\,{\left(b\,x+2\right)}^{3/2} \,d x","Not used",1,"int(x^(1/2)*(b*x + 2)^(3/2), x)","F"
536,0,-1,61,0.000000,"\text{Not used}","int((b*x + 2)^(3/2)/x^(1/2),x)","\int \frac{{\left(b\,x+2\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"int((b*x + 2)^(3/2)/x^(1/2), x)","F"
537,0,-1,58,0.000000,"\text{Not used}","int((b*x + 2)^(3/2)/x^(3/2),x)","\int \frac{{\left(b\,x+2\right)}^{3/2}}{x^{3/2}} \,d x","Not used",1,"int((b*x + 2)^(3/2)/x^(3/2), x)","F"
538,0,-1,60,0.000000,"\text{Not used}","int((b*x + 2)^(3/2)/x^(5/2),x)","\int \frac{{\left(b\,x+2\right)}^{3/2}}{x^{5/2}} \,d x","Not used",1,"int((b*x + 2)^(3/2)/x^(5/2), x)","F"
539,0,-1,131,0.000000,"\text{Not used}","int(x^(5/2)*(2 - b*x)^(3/2),x)","\int x^{5/2}\,{\left(2-b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(5/2)*(2 - b*x)^(3/2), x)","F"
540,0,-1,109,0.000000,"\text{Not used}","int(x^(3/2)*(2 - b*x)^(3/2),x)","\int x^{3/2}\,{\left(2-b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(3/2)*(2 - b*x)^(3/2), x)","F"
541,0,-1,84,0.000000,"\text{Not used}","int(x^(1/2)*(2 - b*x)^(3/2),x)","\int \sqrt{x}\,{\left(2-b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(1/2)*(2 - b*x)^(3/2), x)","F"
542,0,-1,63,0.000000,"\text{Not used}","int((2 - b*x)^(3/2)/x^(1/2),x)","\int \frac{{\left(2-b\,x\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"int((2 - b*x)^(3/2)/x^(1/2), x)","F"
543,0,-1,60,0.000000,"\text{Not used}","int((2 - b*x)^(3/2)/x^(3/2),x)","\int \frac{{\left(2-b\,x\right)}^{3/2}}{x^{3/2}} \,d x","Not used",1,"int((2 - b*x)^(3/2)/x^(3/2), x)","F"
544,0,-1,62,0.000000,"\text{Not used}","int((2 - b*x)^(3/2)/x^(5/2),x)","\int \frac{{\left(2-b\,x\right)}^{3/2}}{x^{5/2}} \,d x","Not used",1,"int((2 - b*x)^(3/2)/x^(5/2), x)","F"
545,0,-1,164,0.000000,"\text{Not used}","int(x^(5/2)*(a + b*x)^(5/2),x)","\int x^{5/2}\,{\left(a+b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(5/2)*(a + b*x)^(5/2), x)","F"
546,0,-1,140,0.000000,"\text{Not used}","int(x^(3/2)*(a + b*x)^(5/2),x)","\int x^{3/2}\,{\left(a+b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(3/2)*(a + b*x)^(5/2), x)","F"
547,0,-1,116,0.000000,"\text{Not used}","int(x^(1/2)*(a + b*x)^(5/2),x)","\int \sqrt{x}\,{\left(a+b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(1/2)*(a + b*x)^(5/2), x)","F"
548,0,-1,92,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/x^(1/2),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{\sqrt{x}} \,d x","Not used",1,"int((a + b*x)^(5/2)/x^(1/2), x)","F"
549,0,-1,89,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/x^(3/2),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^{3/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/x^(3/2), x)","F"
550,0,-1,86,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/x^(5/2),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{x^{5/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/x^(5/2), x)","F"
551,0,-1,171,0.000000,"\text{Not used}","int(x^(5/2)*(a - b*x)^(5/2),x)","\int x^{5/2}\,{\left(a-b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(5/2)*(a - b*x)^(5/2), x)","F"
552,0,-1,146,0.000000,"\text{Not used}","int(x^(3/2)*(a - b*x)^(5/2),x)","\int x^{3/2}\,{\left(a-b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(3/2)*(a - b*x)^(5/2), x)","F"
553,0,-1,121,0.000000,"\text{Not used}","int(x^(1/2)*(a - b*x)^(5/2),x)","\int \sqrt{x}\,{\left(a-b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(1/2)*(a - b*x)^(5/2), x)","F"
554,0,-1,96,0.000000,"\text{Not used}","int((a - b*x)^(5/2)/x^(1/2),x)","\int \frac{{\left(a-b\,x\right)}^{5/2}}{\sqrt{x}} \,d x","Not used",1,"int((a - b*x)^(5/2)/x^(1/2), x)","F"
555,0,-1,93,0.000000,"\text{Not used}","int((a - b*x)^(5/2)/x^(3/2),x)","\int \frac{{\left(a-b\,x\right)}^{5/2}}{x^{3/2}} \,d x","Not used",1,"int((a - b*x)^(5/2)/x^(3/2), x)","F"
556,0,-1,90,0.000000,"\text{Not used}","int((a - b*x)^(5/2)/x^(5/2),x)","\int \frac{{\left(a-b\,x\right)}^{5/2}}{x^{5/2}} \,d x","Not used",1,"int((a - b*x)^(5/2)/x^(5/2), x)","F"
557,0,-1,144,0.000000,"\text{Not used}","int(x^(5/2)*(b*x + 2)^(5/2),x)","\int x^{5/2}\,{\left(b\,x+2\right)}^{5/2} \,d x","Not used",1,"int(x^(5/2)*(b*x + 2)^(5/2), x)","F"
558,0,-1,123,0.000000,"\text{Not used}","int(x^(3/2)*(b*x + 2)^(5/2),x)","\int x^{3/2}\,{\left(b\,x+2\right)}^{5/2} \,d x","Not used",1,"int(x^(3/2)*(b*x + 2)^(5/2), x)","F"
559,0,-1,102,0.000000,"\text{Not used}","int(x^(1/2)*(b*x + 2)^(5/2),x)","\int \sqrt{x}\,{\left(b\,x+2\right)}^{5/2} \,d x","Not used",1,"int(x^(1/2)*(b*x + 2)^(5/2), x)","F"
560,0,-1,79,0.000000,"\text{Not used}","int((b*x + 2)^(5/2)/x^(1/2),x)","\int \frac{{\left(b\,x+2\right)}^{5/2}}{\sqrt{x}} \,d x","Not used",1,"int((b*x + 2)^(5/2)/x^(1/2), x)","F"
561,0,-1,79,0.000000,"\text{Not used}","int((b*x + 2)^(5/2)/x^(3/2),x)","\int \frac{{\left(b\,x+2\right)}^{5/2}}{x^{3/2}} \,d x","Not used",1,"int((b*x + 2)^(5/2)/x^(3/2), x)","F"
562,0,-1,81,0.000000,"\text{Not used}","int((b*x + 2)^(5/2)/x^(5/2),x)","\int \frac{{\left(b\,x+2\right)}^{5/2}}{x^{5/2}} \,d x","Not used",1,"int((b*x + 2)^(5/2)/x^(5/2), x)","F"
563,0,-1,150,0.000000,"\text{Not used}","int(x^(5/2)*(2 - b*x)^(5/2),x)","\int x^{5/2}\,{\left(2-b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(5/2)*(2 - b*x)^(5/2), x)","F"
564,0,-1,128,0.000000,"\text{Not used}","int(x^(3/2)*(2 - b*x)^(5/2),x)","\int x^{3/2}\,{\left(2-b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(3/2)*(2 - b*x)^(5/2), x)","F"
565,0,-1,106,0.000000,"\text{Not used}","int(x^(1/2)*(2 - b*x)^(5/2),x)","\int \sqrt{x}\,{\left(2-b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^(1/2)*(2 - b*x)^(5/2), x)","F"
566,0,-1,82,0.000000,"\text{Not used}","int((2 - b*x)^(5/2)/x^(1/2),x)","\int \frac{{\left(2-b\,x\right)}^{5/2}}{\sqrt{x}} \,d x","Not used",1,"int((2 - b*x)^(5/2)/x^(1/2), x)","F"
567,0,-1,82,0.000000,"\text{Not used}","int((2 - b*x)^(5/2)/x^(3/2),x)","\int \frac{{\left(2-b\,x\right)}^{5/2}}{x^{3/2}} \,d x","Not used",1,"int((2 - b*x)^(5/2)/x^(3/2), x)","F"
568,0,-1,84,0.000000,"\text{Not used}","int((2 - b*x)^(5/2)/x^(5/2),x)","\int \frac{{\left(2-b\,x\right)}^{5/2}}{x^{5/2}} \,d x","Not used",1,"int((2 - b*x)^(5/2)/x^(5/2), x)","F"
569,0,-1,101,0.000000,"\text{Not used}","int(x^(5/2)/(a + b*x)^(1/2),x)","\int \frac{x^{5/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(x^(5/2)/(a + b*x)^(1/2), x)","F"
570,0,-1,77,0.000000,"\text{Not used}","int(x^(3/2)/(a + b*x)^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(x^(3/2)/(a + b*x)^(1/2), x)","F"
571,1,44,48,0.548111,"\text{Not used}","int(x^(1/2)/(a + b*x)^(1/2),x)","\frac{\sqrt{x}\,\sqrt{a+b\,x}}{b}-\frac{2\,a\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a+b\,x}-\sqrt{a}}\right)}{b^{3/2}}","Not used",1,"(x^(1/2)*(a + b*x)^(1/2))/b - (2*a*atanh((b^(1/2)*x^(1/2))/((a + b*x)^(1/2) - a^(1/2))))/b^(3/2)","B"
572,1,30,28,0.029849,"\text{Not used}","int(1/(x^(1/2)*(a + b*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{\sqrt{a+b\,x}-\sqrt{a}}{\sqrt{-b}\,\sqrt{x}}\right)}{\sqrt{-b}}","Not used",1,"-(4*atan(((a + b*x)^(1/2) - a^(1/2))/((-b)^(1/2)*x^(1/2))))/(-b)^(1/2)","B"
573,1,15,19,0.348803,"\text{Not used}","int(1/(x^(3/2)*(a + b*x)^(1/2)),x)","-\frac{2\,\sqrt{a+b\,x}}{a\,\sqrt{x}}","Not used",1,"-(2*(a + b*x)^(1/2))/(a*x^(1/2))","B"
574,1,25,44,0.341537,"\text{Not used}","int(1/(x^(5/2)*(a + b*x)^(1/2)),x)","-\frac{\left(\frac{2}{3\,a}-\frac{4\,b\,x}{3\,a^2}\right)\,\sqrt{a+b\,x}}{x^{3/2}}","Not used",1,"-((2/(3*a) - (4*b*x)/(3*a^2))*(a + b*x)^(1/2))/x^(3/2)","B"
575,1,36,68,0.353454,"\text{Not used}","int(1/(x^(7/2)*(a + b*x)^(1/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2}{5\,a}+\frac{16\,b^2\,x^2}{15\,a^3}-\frac{8\,b\,x}{15\,a^2}\right)}{x^{5/2}}","Not used",1,"-((a + b*x)^(1/2)*(2/(5*a) + (16*b^2*x^2)/(15*a^3) - (8*b*x)/(15*a^2)))/x^(5/2)","B"
576,1,47,92,0.382348,"\text{Not used}","int(1/(x^(9/2)*(a + b*x)^(1/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2}{7\,a}+\frac{16\,b^2\,x^2}{35\,a^3}-\frac{32\,b^3\,x^3}{35\,a^4}-\frac{12\,b\,x}{35\,a^2}\right)}{x^{7/2}}","Not used",1,"-((a + b*x)^(1/2)*(2/(7*a) + (16*b^2*x^2)/(35*a^3) - (32*b^3*x^3)/(35*a^4) - (12*b*x)/(35*a^2)))/x^(7/2)","B"
577,0,-1,96,0.000000,"\text{Not used}","int(x^(5/2)/(a + b*x)^(3/2),x)","\int \frac{x^{5/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(5/2)/(a + b*x)^(3/2), x)","F"
578,0,-1,68,0.000000,"\text{Not used}","int(x^(3/2)/(a + b*x)^(3/2),x)","\int \frac{x^{3/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(3/2)/(a + b*x)^(3/2), x)","F"
579,0,-1,48,0.000000,"\text{Not used}","int(x^(1/2)/(a + b*x)^(3/2),x)","\int \frac{\sqrt{x}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(1/2)/(a + b*x)^(3/2), x)","F"
580,1,22,19,0.325821,"\text{Not used}","int(1/(x^(1/2)*(a + b*x)^(3/2)),x)","\frac{2\,\sqrt{x}\,\sqrt{a+b\,x}}{a^2+b\,x\,a}","Not used",1,"(2*x^(1/2)*(a + b*x)^(1/2))/(a^2 + a*b*x)","B"
581,1,39,39,0.386146,"\text{Not used}","int(1/(x^(3/2)*(a + b*x)^(3/2)),x)","-\frac{2\,a\,\sqrt{a+b\,x}+4\,b\,x\,\sqrt{a+b\,x}}{\sqrt{x}\,\left(a^3+b\,x\,a^2\right)}","Not used",1,"-(2*a*(a + b*x)^(1/2) + 4*b*x*(a + b*x)^(1/2))/(x^(1/2)*(a^3 + a^2*b*x))","B"
582,1,46,63,0.413495,"\text{Not used}","int(1/(x^(5/2)*(a + b*x)^(3/2)),x)","\frac{\sqrt{a+b\,x}\,\left(\frac{8\,x}{3\,a^2}-\frac{2}{3\,a\,b}+\frac{16\,b\,x^2}{3\,a^3}\right)}{x^{5/2}+\frac{a\,x^{3/2}}{b}}","Not used",1,"((a + b*x)^(1/2)*((8*x)/(3*a^2) - 2/(3*a*b) + (16*b*x^2)/(3*a^3)))/(x^(5/2) + (a*x^(3/2))/b)","B"
583,1,58,87,0.426368,"\text{Not used}","int(1/(x^(7/2)*(a + b*x)^(3/2)),x)","-\frac{\sqrt{a+b\,x}\,\left(\frac{2}{5\,a\,b}-\frac{4\,x}{5\,a^2}+\frac{16\,b\,x^2}{5\,a^3}+\frac{32\,b^2\,x^3}{5\,a^4}\right)}{x^{7/2}+\frac{a\,x^{5/2}}{b}}","Not used",1,"-((a + b*x)^(1/2)*(2/(5*a*b) - (4*x)/(5*a^2) + (16*b*x^2)/(5*a^3) + (32*b^2*x^3)/(5*a^4)))/(x^(7/2) + (a*x^(5/2))/b)","B"
584,0,-1,91,0.000000,"\text{Not used}","int(x^(5/2)/(a + b*x)^(5/2),x)","\int \frac{x^{5/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^(5/2)/(a + b*x)^(5/2), x)","F"
585,0,-1,69,0.000000,"\text{Not used}","int(x^(3/2)/(a + b*x)^(5/2),x)","\int \frac{x^{3/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^(3/2)/(a + b*x)^(5/2), x)","F"
586,1,36,21,0.242365,"\text{Not used}","int(x^(1/2)/(a + b*x)^(5/2),x)","\frac{2\,x^{3/2}\,\sqrt{a+b\,x}}{3\,\left(a^3+2\,a^2\,b\,x+a\,b^2\,x^2\right)}","Not used",1,"(2*x^(3/2)*(a + b*x)^(1/2))/(3*(a^3 + a*b^2*x^2 + 2*a^2*b*x))","B"
587,1,54,43,0.399535,"\text{Not used}","int(1/(x^(1/2)*(a + b*x)^(5/2)),x)","\frac{6\,a\,\sqrt{x}\,\sqrt{a+b\,x}+4\,b\,x^{3/2}\,\sqrt{a+b\,x}}{3\,a^4+6\,a^3\,b\,x+3\,a^2\,b^2\,x^2}","Not used",1,"(6*a*x^(1/2)*(a + b*x)^(1/2) + 4*b*x^(3/2)*(a + b*x)^(1/2))/(3*a^4 + 3*a^2*b^2*x^2 + 6*a^3*b*x)","B"
588,1,71,64,0.420380,"\text{Not used}","int(1/(x^(3/2)*(a + b*x)^(5/2)),x)","-\frac{6\,a^2\,\sqrt{a+b\,x}+16\,b^2\,x^2\,\sqrt{a+b\,x}+24\,a\,b\,x\,\sqrt{a+b\,x}}{\sqrt{x}\,\left(x\,\left(6\,a^4\,b+3\,x\,a^3\,b^2\right)+3\,a^5\right)}","Not used",1,"-(6*a^2*(a + b*x)^(1/2) + 16*b^2*x^2*(a + b*x)^(1/2) + 24*a*b*x*(a + b*x)^(1/2))/(x^(1/2)*(x*(6*a^4*b + 3*a^3*b^2*x) + 3*a^5))","B"
589,1,88,84,0.471195,"\text{Not used}","int(1/(x^(5/2)*(a + b*x)^(5/2)),x)","\frac{32\,b^3\,x^3\,\sqrt{a+b\,x}-2\,a^3\,\sqrt{a+b\,x}+12\,a^2\,b\,x\,\sqrt{a+b\,x}+48\,a\,b^2\,x^2\,\sqrt{a+b\,x}}{x^{3/2}\,\left(x\,\left(6\,a^5\,b+3\,x\,a^4\,b^2\right)+3\,a^6\right)}","Not used",1,"(32*b^3*x^3*(a + b*x)^(1/2) - 2*a^3*(a + b*x)^(1/2) + 12*a^2*b*x*(a + b*x)^(1/2) + 48*a*b^2*x^2*(a + b*x)^(1/2))/(x^(3/2)*(x*(6*a^5*b + 3*a^4*b^2*x) + 3*a^6))","B"
590,0,-1,105,0.000000,"\text{Not used}","int(x^(5/2)/(a - b*x)^(1/2),x)","\int \frac{x^{5/2}}{\sqrt{a-b\,x}} \,d x","Not used",1,"int(x^(5/2)/(a - b*x)^(1/2), x)","F"
591,0,-1,80,0.000000,"\text{Not used}","int(x^(3/2)/(a - b*x)^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{a-b\,x}} \,d x","Not used",1,"int(x^(3/2)/(a - b*x)^(1/2), x)","F"
592,1,47,50,0.516738,"\text{Not used}","int(x^(1/2)/(a - b*x)^(1/2),x)","\frac{2\,a\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a-b\,x}-\sqrt{a}}\right)}{b^{3/2}}-\frac{\sqrt{x}\,\sqrt{a-b\,x}}{b}","Not used",1,"(2*a*atan((b^(1/2)*x^(1/2))/((a - b*x)^(1/2) - a^(1/2))))/b^(3/2) - (x^(1/2)*(a - b*x)^(1/2))/b","B"
593,1,27,29,0.031166,"\text{Not used}","int(1/(x^(1/2)*(a - b*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{\sqrt{a-b\,x}-\sqrt{a}}{\sqrt{b}\,\sqrt{x}}\right)}{\sqrt{b}}","Not used",1,"-(4*atan(((a - b*x)^(1/2) - a^(1/2))/(b^(1/2)*x^(1/2))))/b^(1/2)","B"
594,1,16,20,0.401335,"\text{Not used}","int(1/(x^(3/2)*(a - b*x)^(1/2)),x)","-\frac{2\,\sqrt{a-b\,x}}{a\,\sqrt{x}}","Not used",1,"-(2*(a - b*x)^(1/2))/(a*x^(1/2))","B"
595,1,26,46,0.350126,"\text{Not used}","int(1/(x^(5/2)*(a - b*x)^(1/2)),x)","-\frac{\left(\frac{2}{3\,a}+\frac{4\,b\,x}{3\,a^2}\right)\,\sqrt{a-b\,x}}{x^{3/2}}","Not used",1,"-((2/(3*a) + (4*b*x)/(3*a^2))*(a - b*x)^(1/2))/x^(3/2)","B"
596,0,-1,100,0.000000,"\text{Not used}","int(x^(5/2)/(a - b*x)^(3/2),x)","\int \frac{x^{5/2}}{{\left(a-b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(5/2)/(a - b*x)^(3/2), x)","F"
597,0,-1,71,0.000000,"\text{Not used}","int(x^(3/2)/(a - b*x)^(3/2),x)","\int \frac{x^{3/2}}{{\left(a-b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(3/2)/(a - b*x)^(3/2), x)","F"
598,0,-1,50,0.000000,"\text{Not used}","int(x^(1/2)/(a - b*x)^(3/2),x)","\int \frac{\sqrt{x}}{{\left(a-b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(1/2)/(a - b*x)^(3/2), x)","F"
599,1,24,20,0.339334,"\text{Not used}","int(1/(x^(1/2)*(a - b*x)^(3/2)),x)","\frac{2\,\sqrt{x}\,\sqrt{a-b\,x}}{a^2-a\,b\,x}","Not used",1,"(2*x^(1/2)*(a - b*x)^(1/2))/(a^2 - a*b*x)","B"
600,1,42,41,0.399772,"\text{Not used}","int(1/(x^(3/2)*(a - b*x)^(3/2)),x)","-\frac{2\,a\,\sqrt{a-b\,x}-4\,b\,x\,\sqrt{a-b\,x}}{\sqrt{x}\,\left(a^3-a^2\,b\,x\right)}","Not used",1,"-(2*a*(a - b*x)^(1/2) - 4*b*x*(a - b*x)^(1/2))/(x^(1/2)*(a^3 - a^2*b*x))","B"
601,1,48,66,0.432190,"\text{Not used}","int(1/(x^(5/2)*(a - b*x)^(3/2)),x)","\frac{\sqrt{a-b\,x}\,\left(\frac{8\,x}{3\,a^2}+\frac{2}{3\,a\,b}-\frac{16\,b\,x^2}{3\,a^3}\right)}{x^{5/2}-\frac{a\,x^{3/2}}{b}}","Not used",1,"((a - b*x)^(1/2)*((8*x)/(3*a^2) + 2/(3*a*b) - (16*b*x^2)/(3*a^3)))/(x^(5/2) - (a*x^(3/2))/b)","B"
602,0,-1,95,0.000000,"\text{Not used}","int(x^(5/2)/(a - b*x)^(5/2),x)","\int \frac{x^{5/2}}{{\left(a-b\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^(5/2)/(a - b*x)^(5/2), x)","F"
603,0,-1,72,0.000000,"\text{Not used}","int(x^(3/2)/(a - b*x)^(5/2),x)","\int \frac{x^{3/2}}{{\left(a-b\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^(3/2)/(a - b*x)^(5/2), x)","F"
604,1,37,22,0.252343,"\text{Not used}","int(x^(1/2)/(a - b*x)^(5/2),x)","\frac{2\,x^{3/2}\,\sqrt{a-b\,x}}{3\,\left(a^3-2\,a^2\,b\,x+a\,b^2\,x^2\right)}","Not used",1,"(2*x^(3/2)*(a - b*x)^(1/2))/(3*(a^3 + a*b^2*x^2 - 2*a^2*b*x))","B"
605,1,56,45,0.406056,"\text{Not used}","int(1/(x^(1/2)*(a - b*x)^(5/2)),x)","\frac{6\,a\,\sqrt{x}\,\sqrt{a-b\,x}-4\,b\,x^{3/2}\,\sqrt{a-b\,x}}{3\,a^4-6\,a^3\,b\,x+3\,a^2\,b^2\,x^2}","Not used",1,"(6*a*x^(1/2)*(a - b*x)^(1/2) - 4*b*x^(3/2)*(a - b*x)^(1/2))/(3*a^4 + 3*a^2*b^2*x^2 - 6*a^3*b*x)","B"
606,1,73,67,0.441455,"\text{Not used}","int(1/(x^(3/2)*(a - b*x)^(5/2)),x)","\frac{6\,a^2\,\sqrt{a-b\,x}+16\,b^2\,x^2\,\sqrt{a-b\,x}-24\,a\,b\,x\,\sqrt{a-b\,x}}{\sqrt{x}\,\left(x\,\left(6\,a^4\,b-3\,a^3\,b^2\,x\right)-3\,a^5\right)}","Not used",1,"(6*a^2*(a - b*x)^(1/2) + 16*b^2*x^2*(a - b*x)^(1/2) - 24*a*b*x*(a - b*x)^(1/2))/(x^(1/2)*(x*(6*a^4*b - 3*a^3*b^2*x) - 3*a^5))","B"
607,1,92,88,0.474884,"\text{Not used}","int(1/(x^(5/2)*(a - b*x)^(5/2)),x)","\frac{2\,a^3\,\sqrt{a-b\,x}+32\,b^3\,x^3\,\sqrt{a-b\,x}+12\,a^2\,b\,x\,\sqrt{a-b\,x}-48\,a\,b^2\,x^2\,\sqrt{a-b\,x}}{x^{3/2}\,\left(x\,\left(6\,a^5\,b-3\,a^4\,b^2\,x\right)-3\,a^6\right)}","Not used",1,"(2*a^3*(a - b*x)^(1/2) + 32*b^3*x^3*(a - b*x)^(1/2) + 12*a^2*b*x*(a - b*x)^(1/2) - 48*a*b^2*x^2*(a - b*x)^(1/2))/(x^(3/2)*(x*(6*a^5*b - 3*a^4*b^2*x) - 3*a^6))","B"
608,0,-1,88,0.000000,"\text{Not used}","int(x^(5/2)/(b*x + 2)^(1/2),x)","\int \frac{x^{5/2}}{\sqrt{b\,x+2}} \,d x","Not used",1,"int(x^(5/2)/(b*x + 2)^(1/2), x)","F"
609,0,-1,67,0.000000,"\text{Not used}","int(x^(3/2)/(b*x + 2)^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{b\,x+2}} \,d x","Not used",1,"int(x^(3/2)/(b*x + 2)^(1/2), x)","F"
610,1,43,43,0.585400,"\text{Not used}","int(x^(1/2)/(b*x + 2)^(1/2),x)","\frac{4\,\mathrm{atanh}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{2}-\sqrt{b\,x+2}}\right)}{b^{3/2}}+\frac{\sqrt{x}\,\sqrt{b\,x+2}}{b}","Not used",1,"(4*atanh((b^(1/2)*x^(1/2))/(2^(1/2) - (b*x + 2)^(1/2))))/b^(3/2) + (x^(1/2)*(b*x + 2)^(1/2))/b","B"
611,1,30,24,0.035192,"\text{Not used}","int(1/(x^(1/2)*(b*x + 2)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{\sqrt{2}-\sqrt{b\,x+2}}{\sqrt{-b}\,\sqrt{x}}\right)}{\sqrt{-b}}","Not used",1,"(4*atan((2^(1/2) - (b*x + 2)^(1/2))/((-b)^(1/2)*x^(1/2))))/(-b)^(1/2)","B"
612,1,12,16,0.330136,"\text{Not used}","int(1/(x^(3/2)*(b*x + 2)^(1/2)),x)","-\frac{\sqrt{b\,x+2}}{\sqrt{x}}","Not used",1,"-(b*x + 2)^(1/2)/x^(1/2)","B"
613,1,17,38,0.315524,"\text{Not used}","int(1/(x^(5/2)*(b*x + 2)^(1/2)),x)","\frac{\sqrt{b\,x+2}\,\left(\frac{b\,x}{3}-\frac{1}{3}\right)}{x^{3/2}}","Not used",1,"((b*x + 2)^(1/2)*((b*x)/3 - 1/3))/x^(3/2)","B"
614,1,26,59,0.322800,"\text{Not used}","int(1/(x^(7/2)*(b*x + 2)^(1/2)),x)","-\frac{\sqrt{b\,x+2}\,\left(\frac{2\,b^2\,x^2}{15}-\frac{2\,b\,x}{15}+\frac{1}{5}\right)}{x^{5/2}}","Not used",1,"-((b*x + 2)^(1/2)*((2*b^2*x^2)/15 - (2*b*x)/15 + 1/5))/x^(5/2)","B"
615,1,33,80,0.332901,"\text{Not used}","int(1/(x^(9/2)*(b*x + 2)^(1/2)),x)","\frac{\sqrt{b\,x+2}\,\left(\frac{2\,b^3\,x^3}{35}-\frac{2\,b^2\,x^2}{35}+\frac{3\,b\,x}{35}-\frac{1}{7}\right)}{x^{7/2}}","Not used",1,"((b*x + 2)^(1/2)*((3*b*x)/35 - (2*b^2*x^2)/35 + (2*b^3*x^3)/35 - 1/7))/x^(7/2)","B"
616,0,-1,86,0.000000,"\text{Not used}","int(x^(5/2)/(b*x + 2)^(3/2),x)","\int \frac{x^{5/2}}{{\left(b\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(x^(5/2)/(b*x + 2)^(3/2), x)","F"
617,0,-1,63,0.000000,"\text{Not used}","int(x^(3/2)/(b*x + 2)^(3/2),x)","\int \frac{x^{3/2}}{{\left(b\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(x^(3/2)/(b*x + 2)^(3/2), x)","F"
618,0,-1,44,0.000000,"\text{Not used}","int(x^(1/2)/(b*x + 2)^(3/2),x)","\int \frac{\sqrt{x}}{{\left(b\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(x^(1/2)/(b*x + 2)^(3/2), x)","F"
619,1,11,15,0.307214,"\text{Not used}","int(1/(x^(1/2)*(b*x + 2)^(3/2)),x)","\frac{\sqrt{x}}{\sqrt{b\,x+2}}","Not used",1,"x^(1/2)/(b*x + 2)^(1/2)","B"
620,1,17,32,0.348291,"\text{Not used}","int(1/(x^(3/2)*(b*x + 2)^(3/2)),x)","-\frac{b\,x+1}{\sqrt{x}\,\sqrt{b\,x+2}}","Not used",1,"-(b*x + 1)/(x^(1/2)*(b*x + 2)^(1/2))","B"
621,1,37,53,0.380282,"\text{Not used}","int(1/(x^(5/2)*(b*x + 2)^(3/2)),x)","\frac{\sqrt{b\,x+2}\,\left(\frac{2\,x}{3}+\frac{2\,b\,x^2}{3}-\frac{1}{3\,b}\right)}{x^{5/2}+\frac{2\,x^{3/2}}{b}}","Not used",1,"((b*x + 2)^(1/2)*((2*x)/3 + (2*b*x^2)/3 - 1/(3*b)))/(x^(5/2) + (2*x^(3/2))/b)","B"
622,1,46,74,0.426200,"\text{Not used}","int(1/(x^(7/2)*(b*x + 2)^(3/2)),x)","-\frac{\sqrt{b\,x+2}\,\left(\frac{2\,b\,x^2}{5}-\frac{x}{5}+\frac{1}{5\,b}+\frac{2\,b^2\,x^3}{5}\right)}{x^{7/2}+\frac{2\,x^{5/2}}{b}}","Not used",1,"-((b*x + 2)^(1/2)*((2*b*x^2)/5 - x/5 + 1/(5*b) + (2*b^2*x^3)/5))/(x^(7/2) + (2*x^(5/2))/b)","B"
623,0,-1,86,0.000000,"\text{Not used}","int(x^(5/2)/(b*x + 2)^(5/2),x)","\int \frac{x^{5/2}}{{\left(b\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(x^(5/2)/(b*x + 2)^(5/2), x)","F"
624,0,-1,65,0.000000,"\text{Not used}","int(x^(3/2)/(b*x + 2)^(5/2),x)","\int \frac{x^{3/2}}{{\left(b\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(x^(3/2)/(b*x + 2)^(5/2), x)","F"
625,1,12,18,0.252090,"\text{Not used}","int(x^(1/2)/(b*x + 2)^(5/2),x)","\frac{x^{3/2}}{3\,{\left(b\,x+2\right)}^{3/2}}","Not used",1,"x^(3/2)/(3*(b*x + 2)^(3/2))","B"
626,1,42,37,0.357489,"\text{Not used}","int(1/(x^(1/2)*(b*x + 2)^(5/2)),x)","\frac{3\,\sqrt{x}\,\sqrt{b\,x+2}+b\,x^{3/2}\,\sqrt{b\,x+2}}{3\,b^2\,x^2+12\,b\,x+12}","Not used",1,"(3*x^(1/2)*(b*x + 2)^(1/2) + b*x^(3/2)*(b*x + 2)^(1/2))/(12*b*x + 3*b^2*x^2 + 12)","B"
627,1,57,55,0.378168,"\text{Not used}","int(1/(x^(3/2)*(b*x + 2)^(5/2)),x)","-\frac{3\,\sqrt{b\,x+2}+6\,b\,x\,\sqrt{b\,x+2}+2\,b^2\,x^2\,\sqrt{b\,x+2}}{\sqrt{x}\,\left(x\,\left(3\,x\,b^2+12\,b\right)+12\right)}","Not used",1,"-(3*(b*x + 2)^(1/2) + 6*b*x*(b*x + 2)^(1/2) + 2*b^2*x^2*(b*x + 2)^(1/2))/(x^(1/2)*(x*(12*b + 3*b^2*x) + 12))","B"
628,1,71,71,0.418125,"\text{Not used}","int(1/(x^(5/2)*(b*x + 2)^(5/2)),x)","\frac{3\,b\,x\,\sqrt{b\,x+2}-\sqrt{b\,x+2}+6\,b^2\,x^2\,\sqrt{b\,x+2}+2\,b^3\,x^3\,\sqrt{b\,x+2}}{x^{3/2}\,\left(x\,\left(3\,x\,b^2+12\,b\right)+12\right)}","Not used",1,"(3*b*x*(b*x + 2)^(1/2) - (b*x + 2)^(1/2) + 6*b^2*x^2*(b*x + 2)^(1/2) + 2*b^3*x^3*(b*x + 2)^(1/2))/(x^(3/2)*(x*(12*b + 3*b^2*x) + 12))","B"
629,0,-1,91,0.000000,"\text{Not used}","int(x^(5/2)/(2 - b*x)^(1/2),x)","\int \frac{x^{5/2}}{\sqrt{2-b\,x}} \,d x","Not used",1,"int(x^(5/2)/(2 - b*x)^(1/2), x)","F"
630,0,-1,69,0.000000,"\text{Not used}","int(x^(3/2)/(2 - b*x)^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{2-b\,x}} \,d x","Not used",1,"int(x^(3/2)/(2 - b*x)^(1/2), x)","F"
631,1,46,45,0.519970,"\text{Not used}","int(x^(1/2)/(2 - b*x)^(1/2),x)","-\frac{4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{2}-\sqrt{2-b\,x}}\right)}{b^{3/2}}-\frac{\sqrt{x}\,\sqrt{2-b\,x}}{b}","Not used",1,"- (4*atan((b^(1/2)*x^(1/2))/(2^(1/2) - (2 - b*x)^(1/2))))/b^(3/2) - (x^(1/2)*(2 - b*x)^(1/2))/b","B"
632,1,27,24,0.032164,"\text{Not used}","int(1/(x^(1/2)*(2 - b*x)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{\sqrt{2}-\sqrt{2-b\,x}}{\sqrt{b}\,\sqrt{x}}\right)}{\sqrt{b}}","Not used",1,"(4*atan((2^(1/2) - (2 - b*x)^(1/2))/(b^(1/2)*x^(1/2))))/b^(1/2)","B"
633,1,13,17,0.310142,"\text{Not used}","int(1/(x^(3/2)*(2 - b*x)^(1/2)),x)","-\frac{\sqrt{2-b\,x}}{\sqrt{x}}","Not used",1,"-(2 - b*x)^(1/2)/x^(1/2)","B"
634,1,19,40,0.291958,"\text{Not used}","int(1/(x^(5/2)*(2 - b*x)^(1/2)),x)","-\frac{\sqrt{2-b\,x}\,\left(\frac{b\,x}{3}+\frac{1}{3}\right)}{x^{3/2}}","Not used",1,"-((2 - b*x)^(1/2)*((b*x)/3 + 1/3))/x^(3/2)","B"
635,0,-1,89,0.000000,"\text{Not used}","int(x^(5/2)/(2 - b*x)^(3/2),x)","\int \frac{x^{5/2}}{{\left(2-b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(5/2)/(2 - b*x)^(3/2), x)","F"
636,0,-1,65,0.000000,"\text{Not used}","int(x^(3/2)/(2 - b*x)^(3/2),x)","\int \frac{x^{3/2}}{{\left(2-b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(3/2)/(2 - b*x)^(3/2), x)","F"
637,0,-1,45,0.000000,"\text{Not used}","int(x^(1/2)/(2 - b*x)^(3/2),x)","\int \frac{\sqrt{x}}{{\left(2-b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(1/2)/(2 - b*x)^(3/2), x)","F"
638,1,12,16,0.299267,"\text{Not used}","int(1/(x^(1/2)*(2 - b*x)^(3/2)),x)","\frac{\sqrt{x}}{\sqrt{2-b\,x}}","Not used",1,"x^(1/2)/(2 - b*x)^(1/2)","B"
639,1,27,34,0.321472,"\text{Not used}","int(1/(x^(3/2)*(2 - b*x)^(3/2)),x)","\frac{b\,\sqrt{x}}{\sqrt{2-b\,x}}-\frac{1}{\sqrt{x}\,\sqrt{2-b\,x}}","Not used",1,"(b*x^(1/2))/(2 - b*x)^(1/2) - 1/(x^(1/2)*(2 - b*x)^(1/2))","B"
640,1,38,56,0.361748,"\text{Not used}","int(1/(x^(5/2)*(2 - b*x)^(3/2)),x)","\frac{\sqrt{2-b\,x}\,\left(\frac{2\,x}{3}-\frac{2\,b\,x^2}{3}+\frac{1}{3\,b}\right)}{x^{5/2}-\frac{2\,x^{3/2}}{b}}","Not used",1,"((2 - b*x)^(1/2)*((2*x)/3 - (2*b*x^2)/3 + 1/(3*b)))/(x^(5/2) - (2*x^(3/2))/b)","B"
641,0,-1,89,0.000000,"\text{Not used}","int(x^(5/2)/(2 - b*x)^(5/2),x)","\int \frac{x^{5/2}}{{\left(2-b\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^(5/2)/(2 - b*x)^(5/2), x)","F"
642,0,-1,67,0.000000,"\text{Not used}","int(x^(3/2)/(2 - b*x)^(5/2),x)","\int \frac{x^{3/2}}{{\left(2-b\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^(3/2)/(2 - b*x)^(5/2), x)","F"
643,1,13,19,0.231958,"\text{Not used}","int(x^(1/2)/(2 - b*x)^(5/2),x)","\frac{x^{3/2}}{3\,{\left(2-b\,x\right)}^{3/2}}","Not used",1,"x^(3/2)/(3*(2 - b*x)^(3/2))","B"
644,1,45,39,0.357017,"\text{Not used}","int(1/(x^(1/2)*(2 - b*x)^(5/2)),x)","\frac{3\,\sqrt{x}\,\sqrt{2-b\,x}-b\,x^{3/2}\,\sqrt{2-b\,x}}{3\,b^2\,x^2-12\,b\,x+12}","Not used",1,"(3*x^(1/2)*(2 - b*x)^(1/2) - b*x^(3/2)*(2 - b*x)^(1/2))/(3*b^2*x^2 - 12*b*x + 12)","B"
645,1,59,58,0.366904,"\text{Not used}","int(1/(x^(3/2)*(2 - b*x)^(5/2)),x)","\frac{3\,\sqrt{2-b\,x}-6\,b\,x\,\sqrt{2-b\,x}+2\,b^2\,x^2\,\sqrt{2-b\,x}}{\sqrt{x}\,\left(x\,\left(12\,b-3\,b^2\,x\right)-12\right)}","Not used",1,"(3*(2 - b*x)^(1/2) - 6*b*x*(2 - b*x)^(1/2) + 2*b^2*x^2*(2 - b*x)^(1/2))/(x^(1/2)*(x*(12*b - 3*b^2*x) - 12))","B"
646,1,73,75,0.437758,"\text{Not used}","int(1/(x^(5/2)*(2 - b*x)^(5/2)),x)","\frac{\sqrt{2-b\,x}+3\,b\,x\,\sqrt{2-b\,x}-6\,b^2\,x^2\,\sqrt{2-b\,x}+2\,b^3\,x^3\,\sqrt{2-b\,x}}{x^{3/2}\,\left(x\,\left(12\,b-3\,b^2\,x\right)-12\right)}","Not used",1,"((2 - b*x)^(1/2) + 3*b*x*(2 - b*x)^(1/2) - 6*b^2*x^2*(2 - b*x)^(1/2) + 2*b^3*x^3*(2 - b*x)^(1/2))/(x^(3/2)*(x*(12*b - 3*b^2*x) - 12))","B"
647,1,31,27,0.569936,"\text{Not used}","int(x^(1/2)/(1 - x)^(1/2),x)","2\,\mathrm{atan}\left(\frac{\sqrt{x}}{\sqrt{1-x}-1}\right)-\sqrt{x}\,\sqrt{1-x}","Not used",1,"2*atan(x^(1/2)/((1 - x)^(1/2) - 1)) - x^(1/2)*(1 - x)^(1/2)","B"
648,1,16,8,0.050811,"\text{Not used}","int(1/(x^(1/2)*(1 - x)^(1/2)),x)","-4\,\mathrm{atan}\left(\frac{\sqrt{1-x}-1}{\sqrt{x}}\right)","Not used",1,"-4*atan(((1 - x)^(1/2) - 1)/x^(1/2))","B"
649,1,23,19,0.125156,"\text{Not used}","int(1/(x^(1/2)*(1 - b*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{\sqrt{1-b\,x}-1}{\sqrt{b}\,\sqrt{x}}\right)}{\sqrt{b}}","Not used",1,"-(4*atan(((1 - b*x)^(1/2) - 1)/(b^(1/2)*x^(1/2))))/b^(1/2)","B"
650,1,13,21,0.028281,"\text{Not used}","int(x^(5/3)*(a + b*x),x)","\frac{3\,x^{8/3}\,\left(11\,a+8\,b\,x\right)}{88}","Not used",1,"(3*x^(8/3)*(11*a + 8*b*x))/88","B"
651,1,13,21,0.024917,"\text{Not used}","int(x^(4/3)*(a + b*x),x)","\frac{3\,x^{7/3}\,\left(10\,a+7\,b\,x\right)}{70}","Not used",1,"(3*x^(7/3)*(10*a + 7*b*x))/70","B"
652,1,13,21,0.024199,"\text{Not used}","int(x^(2/3)*(a + b*x),x)","\frac{3\,x^{5/3}\,\left(8\,a+5\,b\,x\right)}{40}","Not used",1,"(3*x^(5/3)*(8*a + 5*b*x))/40","B"
653,1,13,21,0.024602,"\text{Not used}","int(x^(1/3)*(a + b*x),x)","\frac{3\,x^{4/3}\,\left(7\,a+4\,b\,x\right)}{28}","Not used",1,"(3*x^(4/3)*(7*a + 4*b*x))/28","B"
654,1,13,21,0.024071,"\text{Not used}","int((a + b*x)/x^(1/3),x)","\frac{3\,x^{2/3}\,\left(5\,a+2\,b\,x\right)}{10}","Not used",1,"(3*x^(2/3)*(5*a + 2*b*x))/10","B"
655,1,12,19,0.022693,"\text{Not used}","int((a + b*x)/x^(2/3),x)","\frac{3\,x^{1/3}\,\left(4\,a+b\,x\right)}{4}","Not used",1,"(3*x^(1/3)*(4*a + b*x))/4","B"
656,1,13,19,0.026505,"\text{Not used}","int((a + b*x)/x^(4/3),x)","-\frac{6\,a-3\,b\,x}{2\,x^{1/3}}","Not used",1,"-(6*a - 3*b*x)/(2*x^(1/3))","B"
657,1,13,19,0.025933,"\text{Not used}","int((a + b*x)/x^(5/3),x)","-\frac{3\,a-6\,b\,x}{2\,x^{2/3}}","Not used",1,"-(3*a - 6*b*x)/(2*x^(2/3))","B"
658,1,24,36,0.044720,"\text{Not used}","int(x^(5/3)*(a + b*x)^2,x)","\frac{3\,x^{8/3}\,\left(77\,a^2+112\,a\,b\,x+44\,b^2\,x^2\right)}{616}","Not used",1,"(3*x^(8/3)*(77*a^2 + 44*b^2*x^2 + 112*a*b*x))/616","B"
659,1,24,36,0.037843,"\text{Not used}","int(x^(4/3)*(a + b*x)^2,x)","\frac{3\,x^{7/3}\,\left(65\,a^2+91\,a\,b\,x+35\,b^2\,x^2\right)}{455}","Not used",1,"(3*x^(7/3)*(65*a^2 + 35*b^2*x^2 + 91*a*b*x))/455","B"
660,1,24,36,0.037558,"\text{Not used}","int(x^(2/3)*(a + b*x)^2,x)","\frac{3\,x^{5/3}\,\left(44\,a^2+55\,a\,b\,x+20\,b^2\,x^2\right)}{220}","Not used",1,"(3*x^(5/3)*(44*a^2 + 20*b^2*x^2 + 55*a*b*x))/220","B"
661,1,24,36,0.035210,"\text{Not used}","int(x^(1/3)*(a + b*x)^2,x)","\frac{3\,x^{4/3}\,\left(35\,a^2+40\,a\,b\,x+14\,b^2\,x^2\right)}{140}","Not used",1,"(3*x^(4/3)*(35*a^2 + 14*b^2*x^2 + 40*a*b*x))/140","B"
662,1,24,36,0.037994,"\text{Not used}","int((a + b*x)^2/x^(1/3),x)","\frac{3\,x^{2/3}\,\left(20\,a^2+16\,a\,b\,x+5\,b^2\,x^2\right)}{40}","Not used",1,"(3*x^(2/3)*(20*a^2 + 5*b^2*x^2 + 16*a*b*x))/40","B"
663,1,24,34,0.034199,"\text{Not used}","int((a + b*x)^2/x^(2/3),x)","\frac{3\,x^{1/3}\,\left(14\,a^2+7\,a\,b\,x+2\,b^2\,x^2\right)}{14}","Not used",1,"(3*x^(1/3)*(14*a^2 + 2*b^2*x^2 + 7*a*b*x))/14","B"
664,1,24,32,0.036839,"\text{Not used}","int((a + b*x)^2/x^(4/3),x)","\frac{-15\,a^2+15\,a\,b\,x+3\,b^2\,x^2}{5\,x^{1/3}}","Not used",1,"(3*b^2*x^2 - 15*a^2 + 15*a*b*x)/(5*x^(1/3))","B"
665,1,24,34,0.035583,"\text{Not used}","int((a + b*x)^2/x^(5/3),x)","\frac{-6\,a^2+24\,a\,b\,x+3\,b^2\,x^2}{4\,x^{2/3}}","Not used",1,"(3*b^2*x^2 - 6*a^2 + 24*a*b*x)/(4*x^(2/3))","B"
666,1,35,51,0.042732,"\text{Not used}","int(x^(5/3)*(a + b*x)^3,x)","\frac{3\,a^3\,x^{8/3}}{8}+\frac{3\,b^3\,x^{17/3}}{17}+\frac{9\,a^2\,b\,x^{11/3}}{11}+\frac{9\,a\,b^2\,x^{14/3}}{14}","Not used",1,"(3*a^3*x^(8/3))/8 + (3*b^3*x^(17/3))/17 + (9*a^2*b*x^(11/3))/11 + (9*a*b^2*x^(14/3))/14","B"
667,1,35,51,0.043615,"\text{Not used}","int(x^(4/3)*(a + b*x)^3,x)","\frac{3\,a^3\,x^{7/3}}{7}+\frac{3\,b^3\,x^{16/3}}{16}+\frac{9\,a^2\,b\,x^{10/3}}{10}+\frac{9\,a\,b^2\,x^{13/3}}{13}","Not used",1,"(3*a^3*x^(7/3))/7 + (3*b^3*x^(16/3))/16 + (9*a^2*b*x^(10/3))/10 + (9*a*b^2*x^(13/3))/13","B"
668,1,35,51,0.043711,"\text{Not used}","int(x^(2/3)*(a + b*x)^3,x)","\frac{3\,a^3\,x^{5/3}}{5}+\frac{3\,b^3\,x^{14/3}}{14}+\frac{9\,a^2\,b\,x^{8/3}}{8}+\frac{9\,a\,b^2\,x^{11/3}}{11}","Not used",1,"(3*a^3*x^(5/3))/5 + (3*b^3*x^(14/3))/14 + (9*a^2*b*x^(8/3))/8 + (9*a*b^2*x^(11/3))/11","B"
669,1,35,51,0.048494,"\text{Not used}","int(x^(1/3)*(a + b*x)^3,x)","\frac{3\,a^3\,x^{4/3}}{4}+\frac{3\,b^3\,x^{13/3}}{13}+\frac{9\,a^2\,b\,x^{7/3}}{7}+\frac{9\,a\,b^2\,x^{10/3}}{10}","Not used",1,"(3*a^3*x^(4/3))/4 + (3*b^3*x^(13/3))/13 + (9*a^2*b*x^(7/3))/7 + (9*a*b^2*x^(10/3))/10","B"
670,1,35,51,0.044396,"\text{Not used}","int((a + b*x)^3/x^(1/3),x)","\frac{3\,a^3\,x^{2/3}}{2}+\frac{3\,b^3\,x^{11/3}}{11}+\frac{9\,a^2\,b\,x^{5/3}}{5}+\frac{9\,a\,b^2\,x^{8/3}}{8}","Not used",1,"(3*a^3*x^(2/3))/2 + (3*b^3*x^(11/3))/11 + (9*a^2*b*x^(5/3))/5 + (9*a*b^2*x^(8/3))/8","B"
671,1,35,49,0.043665,"\text{Not used}","int((a + b*x)^3/x^(2/3),x)","3\,a^3\,x^{1/3}+\frac{3\,b^3\,x^{10/3}}{10}+\frac{9\,a^2\,b\,x^{4/3}}{4}+\frac{9\,a\,b^2\,x^{7/3}}{7}","Not used",1,"3*a^3*x^(1/3) + (3*b^3*x^(10/3))/10 + (9*a^2*b*x^(4/3))/4 + (9*a*b^2*x^(7/3))/7","B"
672,1,35,49,0.043580,"\text{Not used}","int((a + b*x)^3/x^(4/3),x)","\frac{3\,b^3\,x^{8/3}}{8}-\frac{3\,a^3}{x^{1/3}}+\frac{9\,a^2\,b\,x^{2/3}}{2}+\frac{9\,a\,b^2\,x^{5/3}}{5}","Not used",1,"(3*b^3*x^(8/3))/8 - (3*a^3)/x^(1/3) + (9*a^2*b*x^(2/3))/2 + (9*a*b^2*x^(5/3))/5","B"
673,1,35,49,0.043064,"\text{Not used}","int((a + b*x)^3/x^(5/3),x)","\frac{3\,b^3\,x^{7/3}}{7}-\frac{3\,a^3}{2\,x^{2/3}}+9\,a^2\,b\,x^{1/3}+\frac{9\,a\,b^2\,x^{4/3}}{4}","Not used",1,"(3*b^3*x^(7/3))/7 - (3*a^3)/(2*x^(2/3)) + 9*a^2*b*x^(1/3) + (9*a*b^2*x^(4/3))/4","B"
674,1,151,125,0.242931,"\text{Not used}","int(x^(5/3)/(a + b*x),x)","\frac{3\,x^{5/3}}{5\,b}+\frac{{\left(-a\right)}^{5/3}\,\ln\left(\frac{9\,a^4\,x^{1/3}}{b^3}-\frac{9\,{\left(-a\right)}^{13/3}}{b^{10/3}}\right)}{b^{8/3}}-\frac{3\,a\,x^{2/3}}{2\,b^2}+\frac{{\left(-a\right)}^{5/3}\,\ln\left(\frac{9\,a^4\,x^{1/3}}{b^3}-\frac{9\,{\left(-a\right)}^{13/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{b^{10/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{8/3}}-\frac{{\left(-a\right)}^{5/3}\,\ln\left(\frac{9\,a^4\,x^{1/3}}{b^3}-\frac{9\,{\left(-a\right)}^{13/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{b^{10/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{8/3}}","Not used",1,"(3*x^(5/3))/(5*b) + ((-a)^(5/3)*log((9*a^4*x^(1/3))/b^3 - (9*(-a)^(13/3))/b^(10/3)))/b^(8/3) - (3*a*x^(2/3))/(2*b^2) + ((-a)^(5/3)*log((9*a^4*x^(1/3))/b^3 - (9*(-a)^(13/3)*((3^(1/2)*1i)/2 - 1/2)^2)/b^(10/3))*((3^(1/2)*1i)/2 - 1/2))/b^(8/3) - ((-a)^(5/3)*log((9*a^4*x^(1/3))/b^3 - (9*(-a)^(13/3)*((3^(1/2)*1i)/2 + 1/2)^2)/b^(10/3))*((3^(1/2)*1i)/2 + 1/2))/b^(8/3)","B"
675,1,126,123,0.067682,"\text{Not used}","int(x^(4/3)/(a + b*x),x)","\frac{3\,x^{4/3}}{4\,b}-\frac{3\,a\,x^{1/3}}{b^2}+\frac{a^{4/3}\,\ln\left(\frac{9\,a^{7/3}}{b^{1/3}}+9\,a^2\,x^{1/3}\right)}{b^{7/3}}+\frac{a^{4/3}\,\ln\left(9\,a^2\,x^{1/3}+\frac{9\,a^{7/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{1/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{7/3}}-\frac{a^{4/3}\,\ln\left(9\,a^2\,x^{1/3}-\frac{9\,a^{7/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{1/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{7/3}}","Not used",1,"(3*x^(4/3))/(4*b) - (3*a*x^(1/3))/b^2 + (a^(4/3)*log((9*a^(7/3))/b^(1/3) + 9*a^2*x^(1/3)))/b^(7/3) + (a^(4/3)*log(9*a^2*x^(1/3) + (9*a^(7/3)*((3^(1/2)*1i)/2 - 1/2))/b^(1/3))*((3^(1/2)*1i)/2 - 1/2))/b^(7/3) - (a^(4/3)*log(9*a^2*x^(1/3) - (9*a^(7/3)*((3^(1/2)*1i)/2 + 1/2))/b^(1/3))*((3^(1/2)*1i)/2 + 1/2))/b^(7/3)","B"
676,1,130,111,0.149601,"\text{Not used}","int(x^(2/3)/(a + b*x),x)","\frac{3\,x^{2/3}}{2\,b}+\frac{a^{2/3}\,\ln\left(\frac{9\,a^{7/3}}{b^{4/3}}+\frac{9\,a^2\,x^{1/3}}{b}\right)}{b^{5/3}}+\frac{a^{2/3}\,\ln\left(\frac{9\,a^{7/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{b^{4/3}}+\frac{9\,a^2\,x^{1/3}}{b}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{5/3}}-\frac{a^{2/3}\,\ln\left(\frac{9\,a^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{b^{4/3}}+\frac{9\,a^2\,x^{1/3}}{b}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{5/3}}","Not used",1,"(3*x^(2/3))/(2*b) + (a^(2/3)*log((9*a^(7/3))/b^(4/3) + (9*a^2*x^(1/3))/b))/b^(5/3) + (a^(2/3)*log((9*a^(7/3)*((3^(1/2)*1i)/2 - 1/2)^2)/b^(4/3) + (9*a^2*x^(1/3))/b)*((3^(1/2)*1i)/2 - 1/2))/b^(5/3) - (a^(2/3)*log((9*a^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/b^(4/3) + (9*a^2*x^(1/3))/b)*((3^(1/2)*1i)/2 + 1/2))/b^(5/3)","B"
677,1,126,109,0.074251,"\text{Not used}","int(x^(1/3)/(a + b*x),x)","\frac{3\,x^{1/3}}{b}+\frac{{\left(-a\right)}^{1/3}\,\ln\left(9\,{\left(-a\right)}^{4/3}\,b^{2/3}+9\,a\,b\,x^{1/3}\right)}{b^{4/3}}+\frac{{\left(-a\right)}^{1/3}\,\ln\left(9\,{\left(-a\right)}^{4/3}\,b^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+9\,a\,b\,x^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{4/3}}-\frac{{\left(-a\right)}^{1/3}\,\ln\left(9\,{\left(-a\right)}^{4/3}\,b^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-9\,a\,b\,x^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{4/3}}","Not used",1,"(3*x^(1/3))/b + ((-a)^(1/3)*log(9*(-a)^(4/3)*b^(2/3) + 9*a*b*x^(1/3)))/b^(4/3) + ((-a)^(1/3)*log(9*(-a)^(4/3)*b^(2/3)*((3^(1/2)*1i)/2 - 1/2) + 9*a*b*x^(1/3))*((3^(1/2)*1i)/2 - 1/2))/b^(4/3) - ((-a)^(1/3)*log(9*(-a)^(4/3)*b^(2/3)*((3^(1/2)*1i)/2 + 1/2) - 9*a*b*x^(1/3))*((3^(1/2)*1i)/2 + 1/2))/b^(4/3)","B"
678,1,120,100,0.113127,"\text{Not used}","int(1/(x^(1/3)*(a + b*x)),x)","\frac{\ln\left(9\,b\,x^{1/3}-9\,{\left(-a\right)}^{1/3}\,b^{2/3}\right)}{{\left(-a\right)}^{1/3}\,b^{2/3}}+\frac{\ln\left(9\,b\,x^{1/3}-\frac{9\,{\left(-a\right)}^{1/3}\,b^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,{\left(-a\right)}^{1/3}\,b^{2/3}}-\frac{\ln\left(9\,b\,x^{1/3}-\frac{9\,{\left(-a\right)}^{1/3}\,b^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,{\left(-a\right)}^{1/3}\,b^{2/3}}","Not used",1,"log(9*b*x^(1/3) - 9*(-a)^(1/3)*b^(2/3))/((-a)^(1/3)*b^(2/3)) + (log(9*b*x^(1/3) - (9*(-a)^(1/3)*b^(2/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(2*(-a)^(1/3)*b^(2/3)) - (log(9*b*x^(1/3) - (9*(-a)^(1/3)*b^(2/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(2*(-a)^(1/3)*b^(2/3))","B"
679,1,110,100,0.205960,"\text{Not used}","int(1/(x^(2/3)*(a + b*x)),x)","\frac{\ln\left(9\,a^{1/3}\,b^{5/3}+9\,b^2\,x^{1/3}\right)}{a^{2/3}\,b^{1/3}}+\frac{\ln\left(9\,b^2\,x^{1/3}+\frac{9\,a^{1/3}\,b^{5/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{2/3}\,b^{1/3}}-\frac{\ln\left(9\,b^2\,x^{1/3}-\frac{9\,a^{1/3}\,b^{5/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{2/3}\,b^{1/3}}","Not used",1,"log(9*a^(1/3)*b^(5/3) + 9*b^2*x^(1/3))/(a^(2/3)*b^(1/3)) + (log(9*b^2*x^(1/3) + (9*a^(1/3)*b^(5/3)*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(2*a^(2/3)*b^(1/3)) - (log(9*b^2*x^(1/3) - (9*a^(1/3)*b^(5/3)*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(2*a^(2/3)*b^(1/3))","B"
680,1,124,109,0.147295,"\text{Not used}","int(1/(x^(4/3)*(a + b*x)),x)","\frac{b^{1/3}\,\ln\left(9\,a^{4/3}\,b^{8/3}+9\,a\,b^3\,x^{1/3}\right)}{a^{4/3}}-\frac{3}{a\,x^{1/3}}+\frac{b^{1/3}\,\ln\left(9\,a\,b^3\,x^{1/3}+9\,a^{4/3}\,b^{8/3}\,{\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)}{a^{4/3}}-\frac{b^{1/3}\,\ln\left(9\,a\,b^3\,x^{1/3}+9\,a^{4/3}\,b^{8/3}\,{\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)}{a^{4/3}}","Not used",1,"(b^(1/3)*log(9*a^(4/3)*b^(8/3) + 9*a*b^3*x^(1/3)))/a^(4/3) - 3/(a*x^(1/3)) + (b^(1/3)*log(9*a*b^3*x^(1/3) + 9*a^(4/3)*b^(8/3)*((3^(1/2)*1i)/2 - 1/2)^2)*((3^(1/2)*1i)/2 - 1/2))/a^(4/3) - (b^(1/3)*log(9*a*b^3*x^(1/3) + 9*a^(4/3)*b^(8/3)*((3^(1/2)*1i)/2 + 1/2)^2)*((3^(1/2)*1i)/2 + 1/2))/a^(4/3)","B"
681,1,138,111,0.072140,"\text{Not used}","int(1/(x^(5/3)*(a + b*x)),x)","\frac{b^{2/3}\,\ln\left(9\,{\left(-a\right)}^{7/3}\,b^{8/3}-9\,a^2\,b^3\,x^{1/3}\right)}{{\left(-a\right)}^{5/3}}-\frac{3}{2\,a\,x^{2/3}}+\frac{b^{2/3}\,\ln\left(9\,{\left(-a\right)}^{7/3}\,b^{8/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-9\,a^2\,b^3\,x^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{{\left(-a\right)}^{5/3}}-\frac{b^{2/3}\,\ln\left(9\,{\left(-a\right)}^{7/3}\,b^{8/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+9\,a^2\,b^3\,x^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{{\left(-a\right)}^{5/3}}","Not used",1,"(b^(2/3)*log(9*(-a)^(7/3)*b^(8/3) - 9*a^2*b^3*x^(1/3)))/(-a)^(5/3) - 3/(2*a*x^(2/3)) + (b^(2/3)*log(9*(-a)^(7/3)*b^(8/3)*((3^(1/2)*1i)/2 - 1/2) - 9*a^2*b^3*x^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(-a)^(5/3) - (b^(2/3)*log(9*(-a)^(7/3)*b^(8/3)*((3^(1/2)*1i)/2 + 1/2) + 9*a^2*b^3*x^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(-a)^(5/3)","B"
682,1,150,129,0.264863,"\text{Not used}","int(x^(5/3)/(a + b*x)^2,x)","\frac{3\,x^{2/3}}{2\,b^2}+\frac{5\,a^{2/3}\,\ln\left(\frac{25\,a^{7/3}}{b^{10/3}}+\frac{25\,a^2\,x^{1/3}}{b^3}\right)}{3\,b^{8/3}}+\frac{a\,x^{2/3}}{x\,b^3+a\,b^2}+\frac{5\,a^{2/3}\,\ln\left(\frac{25\,a^{7/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{b^{10/3}}+\frac{25\,a^2\,x^{1/3}}{b^3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{8/3}}-\frac{5\,a^{2/3}\,\ln\left(\frac{25\,a^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{b^{10/3}}+\frac{25\,a^2\,x^{1/3}}{b^3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{8/3}}","Not used",1,"(3*x^(2/3))/(2*b^2) + (5*a^(2/3)*log((25*a^(7/3))/b^(10/3) + (25*a^2*x^(1/3))/b^3))/(3*b^(8/3)) + (a*x^(2/3))/(a*b^2 + b^3*x) + (5*a^(2/3)*log((25*a^(7/3)*((3^(1/2)*1i)/2 - 1/2)^2)/b^(10/3) + (25*a^2*x^(1/3))/b^3)*((3^(1/2)*1i)/2 - 1/2))/(3*b^(8/3)) - (5*a^(2/3)*log((25*a^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/b^(10/3) + (25*a^2*x^(1/3))/b^3)*((3^(1/2)*1i)/2 + 1/2))/(3*b^(8/3))","B"
683,1,142,125,0.152104,"\text{Not used}","int(x^(4/3)/(a + b*x)^2,x)","\frac{3\,x^{1/3}}{b^2}+\frac{a\,x^{1/3}}{x\,b^3+a\,b^2}+\frac{4\,{\left(-a\right)}^{1/3}\,\ln\left(\frac{12\,{\left(-a\right)}^{4/3}}{b^{1/3}}+12\,a\,x^{1/3}\right)}{3\,b^{7/3}}-\frac{4\,{\left(-a\right)}^{1/3}\,\ln\left(12\,a\,x^{1/3}-\frac{12\,{\left(-a\right)}^{4/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{1/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{7/3}}+\frac{{\left(-a\right)}^{1/3}\,\ln\left(12\,a\,x^{1/3}+\frac{9\,{\left(-a\right)}^{4/3}\,\left(-\frac{2}{3}+\frac{\sqrt{3}\,2{}\mathrm{i}}{3}\right)}{b^{1/3}}\right)\,\left(-\frac{2}{3}+\frac{\sqrt{3}\,2{}\mathrm{i}}{3}\right)}{b^{7/3}}","Not used",1,"(3*x^(1/3))/b^2 + (a*x^(1/3))/(a*b^2 + b^3*x) + (4*(-a)^(1/3)*log((12*(-a)^(4/3))/b^(1/3) + 12*a*x^(1/3)))/(3*b^(7/3)) - (4*(-a)^(1/3)*log(12*a*x^(1/3) - (12*(-a)^(4/3)*((3^(1/2)*1i)/2 + 1/2))/b^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(3*b^(7/3)) + ((-a)^(1/3)*log(12*a*x^(1/3) + (9*(-a)^(4/3)*((3^(1/2)*2i)/3 - 2/3))/b^(1/3))*((3^(1/2)*2i)/3 - 2/3))/b^(7/3)","B"
684,1,142,115,0.235555,"\text{Not used}","int(x^(2/3)/(a + b*x)^2,x)","\frac{2\,\ln\left(\frac{4\,x^{1/3}}{b}-\frac{4\,{\left(-a\right)}^{1/3}}{b^{4/3}}\right)}{3\,{\left(-a\right)}^{1/3}\,b^{5/3}}-\frac{x^{2/3}}{b\,\left(a+b\,x\right)}+\frac{\ln\left(\frac{4\,x^{1/3}}{b}-\frac{{\left(-a\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{b^{4/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{3\,{\left(-a\right)}^{1/3}\,b^{5/3}}-\frac{\ln\left(\frac{4\,x^{1/3}}{b}-\frac{{\left(-a\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{b^{4/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{3\,{\left(-a\right)}^{1/3}\,b^{5/3}}","Not used",1,"(2*log((4*x^(1/3))/b - (4*(-a)^(1/3))/b^(4/3)))/(3*(-a)^(1/3)*b^(5/3)) - x^(2/3)/(b*(a + b*x)) + (log((4*x^(1/3))/b - ((-a)^(1/3)*(3^(1/2)*1i - 1)^2)/b^(4/3))*(3^(1/2)*1i - 1))/(3*(-a)^(1/3)*b^(5/3)) - (log((4*x^(1/3))/b - ((-a)^(1/3)*(3^(1/2)*1i + 1)^2)/b^(4/3))*(3^(1/2)*1i + 1))/(3*(-a)^(1/3)*b^(5/3))","B"
685,1,120,117,0.063230,"\text{Not used}","int(x^(1/3)/(a + b*x)^2,x)","\frac{\ln\left(3\,b\,x^{1/3}+3\,a^{1/3}\,b^{2/3}\right)}{3\,a^{2/3}\,b^{4/3}}-\frac{x^{1/3}}{b\,\left(a+b\,x\right)}+\frac{\ln\left(3\,b\,x^{1/3}+\frac{3\,a^{1/3}\,b^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{4/3}}-\frac{\ln\left(3\,b\,x^{1/3}-\frac{3\,a^{1/3}\,b^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{4/3}}","Not used",1,"log(3*b*x^(1/3) + 3*a^(1/3)*b^(2/3))/(3*a^(2/3)*b^(4/3)) - x^(1/3)/(b*(a + b*x)) + (log(3*b*x^(1/3) + (3*a^(1/3)*b^(2/3)*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(6*a^(2/3)*b^(4/3)) - (log(3*b*x^(1/3) - (3*a^(1/3)*b^(2/3)*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(6*a^(2/3)*b^(4/3))","B"
686,1,144,116,0.358063,"\text{Not used}","int(1/(x^(1/3)*(a + b*x)^2),x)","\frac{x^{2/3}}{a\,\left(a+b\,x\right)}+\frac{{\left(-1\right)}^{1/3}\,\ln\left(\frac{{\left(-1\right)}^{2/3}\,b^{2/3}}{a^{5/3}}+\frac{b\,x^{1/3}}{a^2}\right)}{3\,a^{4/3}\,b^{2/3}}-\frac{{\left(-1\right)}^{1/3}\,\ln\left(\frac{b\,x^{1/3}}{a^2}+\frac{{\left(-1\right)}^{2/3}\,b^{2/3}\,{\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)}{3\,a^{4/3}\,b^{2/3}}+\frac{{\left(-1\right)}^{1/3}\,\ln\left(\frac{b\,x^{1/3}}{a^2}+\frac{9\,{\left(-1\right)}^{2/3}\,b^{2/3}\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2}{a^{5/3}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{4/3}\,b^{2/3}}","Not used",1,"x^(2/3)/(a*(a + b*x)) + ((-1)^(1/3)*log(((-1)^(2/3)*b^(2/3))/a^(5/3) + (b*x^(1/3))/a^2))/(3*a^(4/3)*b^(2/3)) - ((-1)^(1/3)*log((b*x^(1/3))/a^2 + ((-1)^(2/3)*b^(2/3)*((3^(1/2)*1i)/2 + 1/2)^2)/a^(5/3))*((3^(1/2)*1i)/2 + 1/2))/(3*a^(4/3)*b^(2/3)) + ((-1)^(1/3)*log((b*x^(1/3))/a^2 + (9*(-1)^(2/3)*b^(2/3)*((3^(1/2)*1i)/6 - 1/6)^2)/a^(5/3))*((3^(1/2)*1i)/6 - 1/6))/(a^(4/3)*b^(2/3))","B"
687,1,134,113,0.223426,"\text{Not used}","int(1/(x^(2/3)*(a + b*x)^2),x)","\frac{2\,\ln\left(\frac{6\,b^{5/3}}{a^{2/3}}+\frac{6\,b^2\,x^{1/3}}{a}\right)}{3\,a^{5/3}\,b^{1/3}}+\frac{x^{1/3}}{a\,\left(a+b\,x\right)}+\frac{\ln\left(\frac{6\,b^2\,x^{1/3}}{a}+\frac{3\,b^{5/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{a^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{3\,a^{5/3}\,b^{1/3}}-\frac{\ln\left(\frac{6\,b^2\,x^{1/3}}{a}-\frac{3\,b^{5/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{a^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{3\,a^{5/3}\,b^{1/3}}","Not used",1,"(2*log((6*b^(5/3))/a^(2/3) + (6*b^2*x^(1/3))/a))/(3*a^(5/3)*b^(1/3)) + x^(1/3)/(a*(a + b*x)) + (log((6*b^2*x^(1/3))/a + (3*b^(5/3)*(3^(1/2)*1i - 1))/a^(2/3))*(3^(1/2)*1i - 1))/(3*a^(5/3)*b^(1/3)) - (log((6*b^2*x^(1/3))/a - (3*b^(5/3)*(3^(1/2)*1i + 1))/a^(2/3))*(3^(1/2)*1i + 1))/(3*a^(5/3)*b^(1/3))","B"
688,1,151,124,0.152441,"\text{Not used}","int(1/(x^(4/3)*(a + b*x)^2),x)","\frac{4\,b^{1/3}\,\ln\left(16\,a^{7/3}\,b^{8/3}+16\,a^2\,b^3\,x^{1/3}\right)}{3\,a^{7/3}}-\frac{\frac{3}{a}+\frac{4\,b\,x}{a^2}}{a\,x^{1/3}+b\,x^{4/3}}-\frac{4\,b^{1/3}\,\ln\left(16\,a^{7/3}\,b^{8/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+16\,a^2\,b^3\,x^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{7/3}}+\frac{b^{1/3}\,\ln\left(9\,a^{7/3}\,b^{8/3}\,{\left(-\frac{2}{3}+\frac{\sqrt{3}\,2{}\mathrm{i}}{3}\right)}^2+16\,a^2\,b^3\,x^{1/3}\right)\,\left(-\frac{2}{3}+\frac{\sqrt{3}\,2{}\mathrm{i}}{3}\right)}{a^{7/3}}","Not used",1,"(4*b^(1/3)*log(16*a^(7/3)*b^(8/3) + 16*a^2*b^3*x^(1/3)))/(3*a^(7/3)) - (3/a + (4*b*x)/a^2)/(a*x^(1/3) + b*x^(4/3)) - (4*b^(1/3)*log(16*a^(7/3)*b^(8/3)*((3^(1/2)*1i)/2 + 1/2)^2 + 16*a^2*b^3*x^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(3*a^(7/3)) + (b^(1/3)*log(9*a^(7/3)*b^(8/3)*((3^(1/2)*2i)/3 - 2/3)^2 + 16*a^2*b^3*x^(1/3))*((3^(1/2)*2i)/3 - 2/3))/a^(7/3)","B"
689,1,166,128,0.165351,"\text{Not used}","int(1/(x^(5/3)*(a + b*x)^2),x)","\frac{5\,{\left(-1\right)}^{1/3}\,b^{2/3}\,\ln\left(15\,{\left(-1\right)}^{1/3}\,a^{13/3}\,b^{8/3}-15\,a^4\,b^3\,x^{1/3}\right)}{3\,a^{8/3}}-\frac{\frac{3}{2\,a}+\frac{5\,b\,x}{2\,a^2}}{a\,x^{2/3}+b\,x^{5/3}}+\frac{5\,{\left(-1\right)}^{1/3}\,b^{2/3}\,\ln\left(15\,a^4\,b^3\,x^{1/3}-15\,{\left(-1\right)}^{1/3}\,a^{13/3}\,b^{8/3}\,\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)}{3\,a^{8/3}}-\frac{5\,{\left(-1\right)}^{1/3}\,b^{2/3}\,\ln\left(15\,a^4\,b^3\,x^{1/3}+15\,{\left(-1\right)}^{1/3}\,a^{13/3}\,b^{8/3}\,\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)}{3\,a^{8/3}}","Not used",1,"(5*(-1)^(1/3)*b^(2/3)*log(15*(-1)^(1/3)*a^(13/3)*b^(8/3) - 15*a^4*b^3*x^(1/3)))/(3*a^(8/3)) - (3/(2*a) + (5*b*x)/(2*a^2))/(a*x^(2/3) + b*x^(5/3)) + (5*(-1)^(1/3)*b^(2/3)*log(15*a^4*b^3*x^(1/3) - 15*(-1)^(1/3)*a^(13/3)*b^(8/3)*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/(3*a^(8/3)) - (5*(-1)^(1/3)*b^(2/3)*log(15*a^4*b^3*x^(1/3) + 15*(-1)^(1/3)*a^(13/3)*b^(8/3)*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(3*a^(8/3))","B"
690,1,165,140,0.172055,"\text{Not used}","int(x^(5/3)/(a + b*x)^3,x)","\frac{5\,\ln\left(\frac{25\,x^{1/3}}{9\,b^3}-\frac{25\,{\left(-a\right)}^{1/3}}{9\,b^{10/3}}\right)}{9\,{\left(-a\right)}^{1/3}\,b^{8/3}}-\frac{\frac{4\,x^{5/3}}{3\,b}+\frac{5\,a\,x^{2/3}}{6\,b^2}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{\ln\left(\frac{25\,x^{1/3}}{9\,b^3}-\frac{{\left(-a\right)}^{1/3}\,{\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}^2}{36\,b^{10/3}}\right)\,\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}{18\,{\left(-a\right)}^{1/3}\,b^{8/3}}-\frac{\ln\left(\frac{25\,x^{1/3}}{9\,b^3}-\frac{{\left(-a\right)}^{1/3}\,{\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}^2}{36\,b^{10/3}}\right)\,\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}{18\,{\left(-a\right)}^{1/3}\,b^{8/3}}","Not used",1,"(5*log((25*x^(1/3))/(9*b^3) - (25*(-a)^(1/3))/(9*b^(10/3))))/(9*(-a)^(1/3)*b^(8/3)) - ((4*x^(5/3))/(3*b) + (5*a*x^(2/3))/(6*b^2))/(a^2 + b^2*x^2 + 2*a*b*x) + (log((25*x^(1/3))/(9*b^3) - ((-a)^(1/3)*(3^(1/2)*5i - 5)^2)/(36*b^(10/3)))*(3^(1/2)*5i - 5))/(18*(-a)^(1/3)*b^(8/3)) - (log((25*x^(1/3))/(9*b^3) - ((-a)^(1/3)*(3^(1/2)*5i + 5)^2)/(36*b^(10/3)))*(3^(1/2)*5i + 5))/(18*(-a)^(1/3)*b^(8/3))","B"
691,1,139,140,0.065789,"\text{Not used}","int(x^(4/3)/(a + b*x)^3,x)","\frac{2\,\ln\left(2\,x^{1/3}+\frac{2\,a^{1/3}}{b^{1/3}}\right)}{9\,a^{2/3}\,b^{7/3}}-\frac{\frac{7\,x^{4/3}}{6\,b}+\frac{2\,a\,x^{1/3}}{3\,b^2}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{\ln\left(2\,x^{1/3}+\frac{a^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{b^{1/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{2/3}\,b^{7/3}}-\frac{\ln\left(2\,x^{1/3}-\frac{a^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{b^{1/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{2/3}\,b^{7/3}}","Not used",1,"(2*log(2*x^(1/3) + (2*a^(1/3))/b^(1/3)))/(9*a^(2/3)*b^(7/3)) - ((7*x^(4/3))/(6*b) + (2*a*x^(1/3))/(3*b^2))/(a^2 + b^2*x^2 + 2*a*b*x) + (log(2*x^(1/3) + (a^(1/3)*(3^(1/2)*1i - 1))/b^(1/3))*(3^(1/2)*1i - 1))/(9*a^(2/3)*b^(7/3)) - (log(2*x^(1/3) - (a^(1/3)*(3^(1/2)*1i + 1))/b^(1/3))*(3^(1/2)*1i + 1))/(9*a^(2/3)*b^(7/3))","B"
692,1,172,143,0.264673,"\text{Not used}","int(x^(2/3)/(a + b*x)^3,x)","\frac{\frac{x^{5/3}}{3\,a}-\frac{x^{2/3}}{6\,b}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{\ln\left(\frac{1}{9\,a^{5/3}\,{\left(-b\right)}^{4/3}}+\frac{x^{1/3}}{9\,a^2\,b}\right)}{9\,a^{4/3}\,{\left(-b\right)}^{5/3}}+\frac{\ln\left(\frac{x^{1/3}}{9\,a^2\,b}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{36\,a^{5/3}\,{\left(-b\right)}^{4/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{4/3}\,{\left(-b\right)}^{5/3}}-\frac{\ln\left(\frac{x^{1/3}}{9\,a^2\,b}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{36\,a^{5/3}\,{\left(-b\right)}^{4/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{4/3}\,{\left(-b\right)}^{5/3}}","Not used",1,"(x^(5/3)/(3*a) - x^(2/3)/(6*b))/(a^2 + b^2*x^2 + 2*a*b*x) + log(1/(9*a^(5/3)*(-b)^(4/3)) + x^(1/3)/(9*a^2*b))/(9*a^(4/3)*(-b)^(5/3)) + (log(x^(1/3)/(9*a^2*b) + (3^(1/2)*1i - 1)^2/(36*a^(5/3)*(-b)^(4/3)))*(3^(1/2)*1i - 1))/(18*a^(4/3)*(-b)^(5/3)) - (log(x^(1/3)/(9*a^2*b) + (3^(1/2)*1i + 1)^2/(36*a^(5/3)*(-b)^(4/3)))*(3^(1/2)*1i + 1))/(18*a^(4/3)*(-b)^(5/3))","B"
693,1,146,143,0.235163,"\text{Not used}","int(x^(1/3)/(a + b*x)^3,x)","\frac{\frac{x^{4/3}}{6\,a}-\frac{x^{1/3}}{3\,b}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{\ln\left(\frac{b^{2/3}}{a^{2/3}}+\frac{b\,x^{1/3}}{a}\right)}{9\,a^{5/3}\,b^{4/3}}+\frac{\ln\left(\frac{b\,x^{1/3}}{a}+\frac{b^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{5/3}\,b^{4/3}}-\frac{\ln\left(\frac{b\,x^{1/3}}{a}-\frac{b^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,a^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{5/3}\,b^{4/3}}","Not used",1,"(x^(4/3)/(6*a) - x^(1/3)/(3*b))/(a^2 + b^2*x^2 + 2*a*b*x) + log(b^(2/3)/a^(2/3) + (b*x^(1/3))/a)/(9*a^(5/3)*b^(4/3)) + (log((b*x^(1/3))/a + (b^(2/3)*(3^(1/2)*1i - 1))/(2*a^(2/3)))*(3^(1/2)*1i - 1))/(18*a^(5/3)*b^(4/3)) - (log((b*x^(1/3))/a - (b^(2/3)*(3^(1/2)*1i + 1))/(2*a^(2/3)))*(3^(1/2)*1i + 1))/(18*a^(5/3)*b^(4/3))","B"
694,1,167,140,0.191759,"\text{Not used}","int(1/(x^(1/3)*(a + b*x)^3),x)","\frac{\frac{7\,x^{2/3}}{6\,a}+\frac{2\,b\,x^{5/3}}{3\,a^2}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{2\,\ln\left(\frac{4\,b\,x^{1/3}}{9\,a^4}-\frac{4\,b^{2/3}}{9\,{\left(-a\right)}^{11/3}}\right)}{9\,{\left(-a\right)}^{7/3}\,b^{2/3}}+\frac{\ln\left(\frac{4\,b\,x^{1/3}}{9\,a^4}-\frac{b^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{9\,{\left(-a\right)}^{11/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{7/3}\,b^{2/3}}-\frac{\ln\left(\frac{4\,b\,x^{1/3}}{9\,a^4}-\frac{b^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{9\,{\left(-a\right)}^{11/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{7/3}\,b^{2/3}}","Not used",1,"((7*x^(2/3))/(6*a) + (2*b*x^(5/3))/(3*a^2))/(a^2 + b^2*x^2 + 2*a*b*x) + (2*log((4*b*x^(1/3))/(9*a^4) - (4*b^(2/3))/(9*(-a)^(11/3))))/(9*(-a)^(7/3)*b^(2/3)) + (log((4*b*x^(1/3))/(9*a^4) - (b^(2/3)*(3^(1/2)*1i - 1)^2)/(9*(-a)^(11/3)))*(3^(1/2)*1i - 1))/(9*(-a)^(7/3)*b^(2/3)) - (log((4*b*x^(1/3))/(9*a^4) - (b^(2/3)*(3^(1/2)*1i + 1)^2)/(9*(-a)^(11/3)))*(3^(1/2)*1i + 1))/(9*(-a)^(7/3)*b^(2/3))","B"
695,1,157,140,0.241273,"\text{Not used}","int(1/(x^(2/3)*(a + b*x)^3),x)","\frac{\frac{4\,x^{1/3}}{3\,a}+\frac{5\,b\,x^{4/3}}{6\,a^2}}{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{5\,\ln\left(\frac{5\,b^{5/3}}{a^{5/3}}+\frac{5\,b^2\,x^{1/3}}{a^2}\right)}{9\,a^{8/3}\,b^{1/3}}+\frac{\ln\left(\frac{5\,b^2\,x^{1/3}}{a^2}+\frac{b^{5/3}\,\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}{2\,a^{5/3}}\right)\,\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}{18\,a^{8/3}\,b^{1/3}}-\frac{\ln\left(\frac{5\,b^2\,x^{1/3}}{a^2}-\frac{b^{5/3}\,\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}{2\,a^{5/3}}\right)\,\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}{18\,a^{8/3}\,b^{1/3}}","Not used",1,"((4*x^(1/3))/(3*a) + (5*b*x^(4/3))/(6*a^2))/(a^2 + b^2*x^2 + 2*a*b*x) + (5*log((5*b^(5/3))/a^(5/3) + (5*b^2*x^(1/3))/a^2))/(9*a^(8/3)*b^(1/3)) + (log((5*b^2*x^(1/3))/a^2 + (b^(5/3)*(3^(1/2)*5i - 5))/(2*a^(5/3)))*(3^(1/2)*5i - 5))/(18*a^(8/3)*b^(1/3)) - (log((5*b^2*x^(1/3))/a^2 - (b^(5/3)*(3^(1/2)*5i + 5))/(2*a^(5/3)))*(3^(1/2)*5i + 5))/(18*a^(8/3)*b^(1/3))","B"
696,1,174,152,0.087175,"\text{Not used}","int(1/(x^(4/3)*(a + b*x)^3),x)","\frac{14\,b^{1/3}\,\ln\left(588\,a^{10/3}\,b^{8/3}+588\,a^3\,b^3\,x^{1/3}\right)}{9\,a^{10/3}}-\frac{\frac{3}{a}+\frac{14\,b^2\,x^2}{3\,a^3}+\frac{49\,b\,x}{6\,a^2}}{a^2\,x^{1/3}+b^2\,x^{7/3}+2\,a\,b\,x^{4/3}}+\frac{14\,b^{1/3}\,\ln\left(588\,a^{10/3}\,b^{8/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+588\,a^3\,b^3\,x^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{10/3}}-\frac{14\,b^{1/3}\,\ln\left(588\,a^{10/3}\,b^{8/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+588\,a^3\,b^3\,x^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{10/3}}","Not used",1,"(14*b^(1/3)*log(588*a^(10/3)*b^(8/3) + 588*a^3*b^3*x^(1/3)))/(9*a^(10/3)) - (3/a + (14*b^2*x^2)/(3*a^3) + (49*b*x)/(6*a^2))/(a^2*x^(1/3) + b^2*x^(7/3) + 2*a*b*x^(4/3)) + (14*b^(1/3)*log(588*a^(10/3)*b^(8/3)*((3^(1/2)*1i)/2 - 1/2)^2 + 588*a^3*b^3*x^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(10/3)) - (14*b^(1/3)*log(588*a^(10/3)*b^(8/3)*((3^(1/2)*1i)/2 + 1/2)^2 + 588*a^3*b^3*x^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(10/3))","B"
697,1,182,152,0.173469,"\text{Not used}","int(1/(x^(5/3)*(a + b*x)^3),x)","\frac{20\,b^{2/3}\,\ln\left(540\,{\left(-a\right)}^{19/3}\,b^{8/3}-540\,a^6\,b^3\,x^{1/3}\right)}{9\,{\left(-a\right)}^{11/3}}-\frac{\frac{3}{2\,a}+\frac{10\,b^2\,x^2}{3\,a^3}+\frac{16\,b\,x}{3\,a^2}}{a^2\,x^{2/3}+b^2\,x^{8/3}+2\,a\,b\,x^{5/3}}+\frac{20\,b^{2/3}\,\ln\left(540\,{\left(-a\right)}^{19/3}\,b^{8/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-540\,a^6\,b^3\,x^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,{\left(-a\right)}^{11/3}}-\frac{20\,b^{2/3}\,\ln\left(540\,{\left(-a\right)}^{19/3}\,b^{8/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+540\,a^6\,b^3\,x^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,{\left(-a\right)}^{11/3}}","Not used",1,"(20*b^(2/3)*log(540*(-a)^(19/3)*b^(8/3) - 540*a^6*b^3*x^(1/3)))/(9*(-a)^(11/3)) - (3/(2*a) + (10*b^2*x^2)/(3*a^3) + (16*b*x)/(3*a^2))/(a^2*x^(2/3) + b^2*x^(8/3) + 2*a*b*x^(5/3)) + (20*b^(2/3)*log(540*(-a)^(19/3)*b^(8/3)*((3^(1/2)*1i)/2 - 1/2) - 540*a^6*b^3*x^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(9*(-a)^(11/3)) - (20*b^(2/3)*log(540*(-a)^(19/3)*b^(8/3)*((3^(1/2)*1i)/2 + 1/2) + 540*a^6*b^3*x^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(9*(-a)^(11/3))","B"
698,1,46,58,0.067900,"\text{Not used}","int((1 - x)^(1/4)/(x + 1),x)","4\,{\left(1-x\right)}^{1/4}-2\,2^{1/4}\,\mathrm{atanh}\left(\frac{2^{3/4}\,{\left(1-x\right)}^{1/4}}{2}\right)-2\,2^{1/4}\,\mathrm{atan}\left(\frac{2^{3/4}\,{\left(1-x\right)}^{1/4}}{2}\right)","Not used",1,"4*(1 - x)^(1/4) - 2*2^(1/4)*atanh((2^(3/4)*(1 - x)^(1/4))/2) - 2*2^(1/4)*atan((2^(3/4)*(1 - x)^(1/4))/2)","B"
699,1,1274,187,1.369913,"\text{Not used}","int(x^m*(a + b*x)^10,x)","\frac{a^{10}\,x\,x^m\,\left(m^{10}+65\,m^9+1860\,m^8+30810\,m^7+326613\,m^6+2310945\,m^5+11028590\,m^4+34967140\,m^3+70290936\,m^2+80627040\,m+39916800\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{b^{10}\,x^m\,x^{11}\,\left(m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{45\,a^2\,b^8\,x^m\,x^9\,\left(m^{10}+57\,m^9+1412\,m^8+19962\,m^7+177765\,m^6+1037673\,m^5+4000478\,m^4+9991428\,m^3+15335224\,m^2+12900960\,m+4435200\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{120\,a^3\,b^7\,x^m\,x^8\,\left(m^{10}+58\,m^9+1461\,m^8+20982\,m^7+189567\,m^6+1121022\,m^5+4371359\,m^4+11024858\,m^3+17059212\,m^2+14444280\,m+4989600\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{210\,a^4\,b^6\,x^m\,x^7\,\left(m^{10}+59\,m^9+1512\,m^8+22086\,m^7+202821\,m^6+1217811\,m^5+4814858\,m^4+12291724\,m^3+19216008\,m^2+16405920\,m+5702400\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{252\,a^5\,b^5\,x^m\,x^6\,\left(m^{10}+60\,m^9+1565\,m^8+23280\,m^7+217743\,m^6+1331100\,m^5+5352935\,m^4+13878120\,m^3+21989356\,m^2+18981840\,m+6652800\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{210\,a^6\,b^4\,x^m\,x^5\,\left(m^{10}+61\,m^9+1620\,m^8+24570\,m^7+234573\,m^6+1464693\,m^5+6016070\,m^4+15915380\,m^3+25681176\,m^2+22512096\,m+7983360\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{120\,a^7\,b^3\,x^m\,x^4\,\left(m^{10}+62\,m^9+1677\,m^8+25962\,m^7+253575\,m^6+1623258\,m^5+6846503\,m^4+18609718\,m^3+30819204\,m^2+27641160\,m+9979200\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{45\,a^8\,b^2\,x^m\,x^3\,\left(m^{10}+63\,m^9+1736\,m^8+27462\,m^7+275037\,m^6+1812447\,m^5+7902194\,m^4+22289148\,m^3+38390632\,m^2+35746080\,m+13305600\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{10\,a\,b^9\,x^m\,x^{10}\,\left(m^{10}+56\,m^9+1365\,m^8+19020\,m^7+167223\,m^6+965328\,m^5+3686255\,m^4+9133180\,m^3+13926276\,m^2+11655216\,m+3991680\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{10\,a^9\,b\,x^m\,x^2\,\left(m^{10}+64\,m^9+1797\,m^8+29076\,m^7+299271\,m^6+2039016\,m^5+9261503\,m^4+27472724\,m^3+50312628\,m^2+50292720\,m+19958400\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}","Not used",1,"(a^10*x*x^m*(80627040*m + 70290936*m^2 + 34967140*m^3 + 11028590*m^4 + 2310945*m^5 + 326613*m^6 + 30810*m^7 + 1860*m^8 + 65*m^9 + m^10 + 39916800))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (b^10*x^m*x^11*(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (45*a^2*b^8*x^m*x^9*(12900960*m + 15335224*m^2 + 9991428*m^3 + 4000478*m^4 + 1037673*m^5 + 177765*m^6 + 19962*m^7 + 1412*m^8 + 57*m^9 + m^10 + 4435200))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (120*a^3*b^7*x^m*x^8*(14444280*m + 17059212*m^2 + 11024858*m^3 + 4371359*m^4 + 1121022*m^5 + 189567*m^6 + 20982*m^7 + 1461*m^8 + 58*m^9 + m^10 + 4989600))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (210*a^4*b^6*x^m*x^7*(16405920*m + 19216008*m^2 + 12291724*m^3 + 4814858*m^4 + 1217811*m^5 + 202821*m^6 + 22086*m^7 + 1512*m^8 + 59*m^9 + m^10 + 5702400))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (252*a^5*b^5*x^m*x^6*(18981840*m + 21989356*m^2 + 13878120*m^3 + 5352935*m^4 + 1331100*m^5 + 217743*m^6 + 23280*m^7 + 1565*m^8 + 60*m^9 + m^10 + 6652800))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (210*a^6*b^4*x^m*x^5*(22512096*m + 25681176*m^2 + 15915380*m^3 + 6016070*m^4 + 1464693*m^5 + 234573*m^6 + 24570*m^7 + 1620*m^8 + 61*m^9 + m^10 + 7983360))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (120*a^7*b^3*x^m*x^4*(27641160*m + 30819204*m^2 + 18609718*m^3 + 6846503*m^4 + 1623258*m^5 + 253575*m^6 + 25962*m^7 + 1677*m^8 + 62*m^9 + m^10 + 9979200))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (45*a^8*b^2*x^m*x^3*(35746080*m + 38390632*m^2 + 22289148*m^3 + 7902194*m^4 + 1812447*m^5 + 275037*m^6 + 27462*m^7 + 1736*m^8 + 63*m^9 + m^10 + 13305600))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (10*a*b^9*x^m*x^10*(11655216*m + 13926276*m^2 + 9133180*m^3 + 3686255*m^4 + 965328*m^5 + 167223*m^6 + 19020*m^7 + 1365*m^8 + 56*m^9 + m^10 + 3991680))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + (10*a^9*b*x^m*x^2*(50292720*m + 50312628*m^2 + 27472724*m^3 + 9261503*m^4 + 2039016*m^5 + 299271*m^6 + 29076*m^7 + 1797*m^8 + 64*m^9 + m^10 + 19958400))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)","B"
700,1,683,133,0.776758,"\text{Not used}","int(x^m*(a + b*x)^7,x)","\frac{a^7\,x\,x^m\,\left(m^7+35\,m^6+511\,m^5+4025\,m^4+18424\,m^3+48860\,m^2+69264\,m+40320\right)}{m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320}+\frac{b^7\,x^m\,x^8\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)}{m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320}+\frac{21\,a^2\,b^5\,x^m\,x^6\,\left(m^7+30\,m^6+366\,m^5+2340\,m^4+8409\,m^3+16830\,m^2+17144\,m+6720\right)}{m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320}+\frac{35\,a^3\,b^4\,x^m\,x^5\,\left(m^7+31\,m^6+391\,m^5+2581\,m^4+9544\,m^3+19564\,m^2+20304\,m+8064\right)}{m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320}+\frac{35\,a^4\,b^3\,x^m\,x^4\,\left(m^7+32\,m^6+418\,m^5+2864\,m^4+10993\,m^3+23312\,m^2+24876\,m+10080\right)}{m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320}+\frac{21\,a^5\,b^2\,x^m\,x^3\,\left(m^7+33\,m^6+447\,m^5+3195\,m^4+12864\,m^3+28692\,m^2+32048\,m+13440\right)}{m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320}+\frac{7\,a\,b^6\,x^m\,x^7\,\left(m^7+29\,m^6+343\,m^5+2135\,m^4+7504\,m^3+14756\,m^2+14832\,m+5760\right)}{m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320}+\frac{7\,a^6\,b\,x^m\,x^2\,\left(m^7+34\,m^6+478\,m^5+3580\,m^4+15289\,m^3+36706\,m^2+44712\,m+20160\right)}{m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320}","Not used",1,"(a^7*x*x^m*(69264*m + 48860*m^2 + 18424*m^3 + 4025*m^4 + 511*m^5 + 35*m^6 + m^7 + 40320))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320) + (b^7*x^m*x^8*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320) + (21*a^2*b^5*x^m*x^6*(17144*m + 16830*m^2 + 8409*m^3 + 2340*m^4 + 366*m^5 + 30*m^6 + m^7 + 6720))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320) + (35*a^3*b^4*x^m*x^5*(20304*m + 19564*m^2 + 9544*m^3 + 2581*m^4 + 391*m^5 + 31*m^6 + m^7 + 8064))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320) + (35*a^4*b^3*x^m*x^4*(24876*m + 23312*m^2 + 10993*m^3 + 2864*m^4 + 418*m^5 + 32*m^6 + m^7 + 10080))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320) + (21*a^5*b^2*x^m*x^3*(32048*m + 28692*m^2 + 12864*m^3 + 3195*m^4 + 447*m^5 + 33*m^6 + m^7 + 13440))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320) + (7*a*b^6*x^m*x^7*(14832*m + 14756*m^2 + 7504*m^3 + 2135*m^4 + 343*m^5 + 29*m^6 + m^7 + 5760))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320) + (7*a^6*b*x^m*x^2*(44712*m + 36706*m^2 + 15289*m^3 + 3580*m^4 + 478*m^5 + 34*m^6 + m^7 + 20160))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)","B"
701,1,167,61,0.442947,"\text{Not used}","int(x^m*(a + b*x)^3,x)","x^m\,\left(\frac{a^3\,x\,\left(m^3+9\,m^2+26\,m+24\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{b^3\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{3\,a\,b^2\,x^3\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{3\,a^2\,b\,x^2\,\left(m^3+8\,m^2+19\,m+12\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}\right)","Not used",1,"x^m*((a^3*x*(26*m + 9*m^2 + m^3 + 24))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (b^3*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (3*a*b^2*x^3*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (3*a^2*b*x^2*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
702,1,93,43,0.370400,"\text{Not used}","int(x^m*(a + b*x)^2,x)","x^m\,\left(\frac{a^2\,x\,\left(m^2+5\,m+6\right)}{m^3+6\,m^2+11\,m+6}+\frac{b^2\,x^3\,\left(m^2+3\,m+2\right)}{m^3+6\,m^2+11\,m+6}+\frac{2\,a\,b\,x^2\,\left(m^2+4\,m+3\right)}{m^3+6\,m^2+11\,m+6}\right)","Not used",1,"x^m*((a^2*x*(5*m + m^2 + 6))/(11*m + 6*m^2 + m^3 + 6) + (b^2*x^3*(3*m + m^2 + 2))/(11*m + 6*m^2 + m^3 + 6) + (2*a*b*x^2*(4*m + m^2 + 3))/(11*m + 6*m^2 + m^3 + 6))","B"
703,1,30,25,0.304208,"\text{Not used}","int(x^m*(a + b*x),x)","\frac{x^{m+1}\,\left(2\,a+a\,m+b\,x+b\,m\,x\right)}{m^2+3\,m+2}","Not used",1,"(x^(m + 1)*(2*a + a*m + b*x + b*m*x))/(3*m + m^2 + 2)","B"
704,0,-1,29,0.000000,"\text{Not used}","int(x^m/(a + b*x),x)","\int \frac{x^m}{a+b\,x} \,d x","Not used",1,"int(x^m/(a + b*x), x)","F"
705,0,-1,29,0.000000,"\text{Not used}","int(x^m/(a + b*x)^2,x)","\int \frac{x^m}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^m/(a + b*x)^2, x)","F"
706,0,-1,29,0.000000,"\text{Not used}","int(x^m/(a + b*x)^3,x)","\int \frac{x^m}{{\left(a+b\,x\right)}^3} \,d x","Not used",1,"int(x^m/(a + b*x)^3, x)","F"
707,0,-1,48,0.000000,"\text{Not used}","int(x^m*(a + b*x)^(5/2),x)","\int x^m\,{\left(a+b\,x\right)}^{5/2} \,d x","Not used",1,"int(x^m*(a + b*x)^(5/2), x)","F"
708,0,-1,48,0.000000,"\text{Not used}","int(x^m*(a + b*x)^(3/2),x)","\int x^m\,{\left(a+b\,x\right)}^{3/2} \,d x","Not used",1,"int(x^m*(a + b*x)^(3/2), x)","F"
709,0,-1,48,0.000000,"\text{Not used}","int(x^m*(a + b*x)^(1/2),x)","\int x^m\,\sqrt{a+b\,x} \,d x","Not used",1,"int(x^m*(a + b*x)^(1/2), x)","F"
710,0,-1,46,0.000000,"\text{Not used}","int(x^m/(a + b*x)^(1/2),x)","\int \frac{x^m}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(x^m/(a + b*x)^(1/2), x)","F"
711,0,-1,46,0.000000,"\text{Not used}","int(x^m/(a + b*x)^(3/2),x)","\int \frac{x^m}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^m/(a + b*x)^(3/2), x)","F"
712,0,-1,48,0.000000,"\text{Not used}","int(x^m/(a + b*x)^(5/2),x)","\int \frac{x^m}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(x^m/(a + b*x)^(5/2), x)","F"
713,0,-1,51,0.000000,"\text{Not used}","int(x^(m + 2)/(a + b*x)^(1/2),x)","\int \frac{x^{m+2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(x^(m + 2)/(a + b*x)^(1/2), x)","F"
714,0,-1,49,0.000000,"\text{Not used}","int(x^(m + 1)/(a + b*x)^(1/2),x)","\int \frac{x^{m+1}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(x^(m + 1)/(a + b*x)^(1/2), x)","F"
715,0,-1,46,0.000000,"\text{Not used}","int(x^m/(a + b*x)^(1/2),x)","\int \frac{x^m}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(x^m/(a + b*x)^(1/2), x)","F"
716,0,-1,48,0.000000,"\text{Not used}","int(x^(m - 1)/(a + b*x)^(1/2),x)","\int \frac{x^{m-1}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(x^(m - 1)/(a + b*x)^(1/2), x)","F"
717,0,-1,49,0.000000,"\text{Not used}","int(x^(m - 2)/(a + b*x)^(1/2),x)","\int \frac{x^{m-2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(x^(m - 2)/(a + b*x)^(1/2), x)","F"
718,0,-1,51,0.000000,"\text{Not used}","int(x^(m - 3)/(a + b*x)^(1/2),x)","\int \frac{x^{m-3}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(x^(m - 3)/(a + b*x)^(1/2), x)","F"
719,0,-1,31,0.000000,"\text{Not used}","int(x^m/(3*x + 2)^(1/2),x)","\int \frac{x^m}{\sqrt{3\,x+2}} \,d x","Not used",1,"int(x^m/(3*x + 2)^(1/2), x)","F"
720,0,-1,31,0.000000,"\text{Not used}","int(x^m/(2 - 3*x)^(1/2),x)","\int \frac{x^m}{\sqrt{2-3\,x}} \,d x","Not used",1,"int(x^m/(2 - 3*x)^(1/2), x)","F"
721,0,-1,36,0.000000,"\text{Not used}","int(x^m/(3*x - 2)^(1/2),x)","\int \frac{x^m}{\sqrt{3\,x-2}} \,d x","Not used",1,"int(x^m/(3*x - 2)^(1/2), x)","F"
722,0,-1,50,0.000000,"\text{Not used}","int(x^m/(- 3*x - 2)^(1/2),x)","\int \frac{x^m}{\sqrt{-3\,x-2}} \,d x","Not used",1,"int(x^m/(- 3*x - 2)^(1/2), x)","F"
723,0,-1,48,0.000000,"\text{Not used}","int((-x)^m/(a + b*x)^(1/2),x)","\int \frac{{\left(-x\right)}^m}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((-x)^m/(a + b*x)^(1/2), x)","F"
724,0,-1,34,0.000000,"\text{Not used}","int((-x)^m/(3*x + 2)^(1/2),x)","\int \frac{{\left(-x\right)}^m}{\sqrt{3\,x+2}} \,d x","Not used",1,"int((-x)^m/(3*x + 2)^(1/2), x)","F"
725,0,-1,34,0.000000,"\text{Not used}","int((-x)^m/(2 - 3*x)^(1/2),x)","\int \frac{{\left(-x\right)}^m}{\sqrt{2-3\,x}} \,d x","Not used",1,"int((-x)^m/(2 - 3*x)^(1/2), x)","F"
726,0,-1,49,0.000000,"\text{Not used}","int((-x)^m/(3*x - 2)^(1/2),x)","\int \frac{{\left(-x\right)}^m}{\sqrt{3\,x-2}} \,d x","Not used",1,"int((-x)^m/(3*x - 2)^(1/2), x)","F"
727,0,-1,37,0.000000,"\text{Not used}","int((-x)^m/(- 3*x - 2)^(1/2),x)","\int \frac{{\left(-x\right)}^m}{\sqrt{-3\,x-2}} \,d x","Not used",1,"int((-x)^m/(- 3*x - 2)^(1/2), x)","F"
728,0,-1,26,0.000000,"\text{Not used}","int(x^n/(1 - x)^(1/2),x)","\int \frac{x^n}{\sqrt{1-x}} \,d x","Not used",1,"int(x^n/(1 - x)^(1/2), x)","F"
729,0,-1,30,0.000000,"\text{Not used}","int(x^n/(a - a*x)^(1/2),x)","\int \frac{x^n}{\sqrt{a-a\,x}} \,d x","Not used",1,"int(x^n/(a - a*x)^(1/2), x)","F"
730,0,-1,47,0.000000,"\text{Not used}","int(x^m*(a + b*x)^n,x)","\int x^m\,{\left(a+b\,x\right)}^n \,d x","Not used",1,"int(x^m*(a + b*x)^n, x)","F"
731,0,-1,52,0.000000,"\text{Not used}","int((c*x)^m*(a + b*x)^n,x)","\int {\left(c\,x\right)}^m\,{\left(a+b\,x\right)}^n \,d x","Not used",1,"int((c*x)^m*(a + b*x)^n, x)","F"
732,1,176,83,0.533989,"\text{Not used}","int(x^3*(a + b*x)^n,x)","{\left(a+b\,x\right)}^n\,\left(\frac{x^4\,\left(n^3+6\,n^2+11\,n+6\right)}{n^4+10\,n^3+35\,n^2+50\,n+24}-\frac{6\,a^4}{b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,a^3\,n\,x}{b^3\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{a\,n\,x^3\,\left(n^2+3\,n+2\right)}{b\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{3\,a^2\,n\,x^2\,\left(n+1\right)}{b^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)","Not used",1,"(a + b*x)^n*((x^4*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) - (6*a^4)/(b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*a^3*n*x)/(b^3*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (a*n*x^3*(3*n + n^2 + 2))/(b*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (3*a^2*n*x^2*(n + 1))/(b^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)))","B"
733,1,192,60,0.556567,"\text{Not used}","int(x^2*(a + b*x)^n,x)","\left\{\begin{array}{cl} \frac{2\,a^2\,\ln\left(a+b\,x\right)+b^2\,x^2-2\,a\,b\,x}{2\,b^3} & \text{\ if\ \ }n=-1\\ \frac{x}{b^2}-\frac{a^2}{b^3\,\left(a+b\,x\right)}-\frac{2\,a\,\ln\left(a+b\,x\right)}{b^3} & \text{\ if\ \ }n=-2\\ \frac{\ln\left(a+b\,x\right)+\frac{2\,a}{a+b\,x}-\frac{a^2}{2\,{\left(a+b\,x\right)}^2}}{b^3} & \text{\ if\ \ }n=-3\\ \frac{2\,{\left(a+b\,x\right)}^{n+1}\,\left(8\,a^2-8\,a\,b\,n\,x-8\,a\,b\,x+4\,b^2\,n^2\,x^2+12\,b^2\,n\,x^2+8\,b^2\,x^2\right)}{b^3\,\left(8\,n^3+48\,n^2+88\,n+48\right)} & \text{\ if\ \ }n\neq -1\wedge n\neq -2\wedge n\neq -3 \end{array}\right.","Not used",1,"piecewise(n == -1, (2*a^2*log(a + b*x) + b^2*x^2 - 2*a*b*x)/(2*b^3), n == -2, x/b^2 - a^2/(b^3*(a + b*x)) - (2*a*log(a + b*x))/b^3, n == -3, (log(a + b*x) + (2*a)/(a + b*x) - a^2/(2*(a + b*x)^2))/b^3, n ~= -1 & n ~= -2 & n ~= -3, (2*(a + b*x)^(n + 1)*(8*a^2 + 8*b^2*x^2 + 12*b^2*n*x^2 - 8*a*b*x + 4*b^2*n^2*x^2 - 8*a*b*n*x))/(b^3*(88*n + 48*n^2 + 8*n^3 + 48)))","B"
734,1,94,39,0.377901,"\text{Not used}","int(x*(a + b*x)^n,x)","\left\{\begin{array}{cl} -\frac{a\,\ln\left(a+b\,x\right)-b\,x}{b^2} & \text{\ if\ \ }n=-1\\ \frac{\ln\left(a+b\,x\right)+\frac{a}{a+b\,x}}{b^2} & \text{\ if\ \ }n=-2\\ \frac{2\,\left(\frac{{\left(a+b\,x\right)}^{n+2}}{2\,n+4}-\frac{a\,{\left(a+b\,x\right)}^{n+1}}{2\,n+2}\right)}{b^2} & \text{\ if\ \ }n\neq -1\wedge n\neq -2 \end{array}\right.","Not used",1,"piecewise(n == -1, -(a*log(a + b*x) - b*x)/b^2, n == -2, (log(a + b*x) + a/(a + b*x))/b^2, n ~= -1 & n ~= -2, (2*((a + b*x)^(n + 2)/(2*n + 4) - (a*(a + b*x)^(n + 1))/(2*n + 2)))/b^2)","B"
735,1,18,18,0.197566,"\text{Not used}","int((a + b*x)^n,x)","\frac{{\left(a+b\,x\right)}^{n+1}}{b\,\left(n+1\right)}","Not used",1,"(a + b*x)^(n + 1)/(b*(n + 1))","B"
736,0,-1,35,0.000000,"\text{Not used}","int((a + b*x)^n/x,x)","\int \frac{{\left(a+b\,x\right)}^n}{x} \,d x","Not used",1,"int((a + b*x)^n/x, x)","F"
737,0,-1,35,0.000000,"\text{Not used}","int((a + b*x)^n/x^2,x)","\int \frac{{\left(a+b\,x\right)}^n}{x^2} \,d x","Not used",1,"int((a + b*x)^n/x^2, x)","F"
738,0,-1,38,0.000000,"\text{Not used}","int((a + b*x)^n/x^3,x)","\int \frac{{\left(a+b\,x\right)}^n}{x^3} \,d x","Not used",1,"int((a + b*x)^n/x^3, x)","F"
739,1,136,110,0.523328,"\text{Not used}","int(x^(n - 4)/(a + b*x)^n,x)","\frac{\frac{x\,x^{n-4}\,\left(n^2-3\,n+2\right)}{n^3-6\,n^2+11\,n-6}+\frac{2\,b^3\,x^{n-4}\,x^4}{a^3\,\left(n^3-6\,n^2+11\,n-6\right)}+\frac{2\,b^2\,n\,x^{n-4}\,x^3}{a^2\,\left(n^3-6\,n^2+11\,n-6\right)}+\frac{b\,n\,x^{n-4}\,x^2\,\left(n-1\right)}{a\,\left(n^3-6\,n^2+11\,n-6\right)}}{{\left(a+b\,x\right)}^n}","Not used",1,"((x*x^(n - 4)*(n^2 - 3*n + 2))/(11*n - 6*n^2 + n^3 - 6) + (2*b^3*x^(n - 4)*x^4)/(a^3*(11*n - 6*n^2 + n^3 - 6)) + (2*b^2*n*x^(n - 4)*x^3)/(a^2*(11*n - 6*n^2 + n^3 - 6)) + (b*n*x^(n - 4)*x^2*(n - 1))/(a*(11*n - 6*n^2 + n^3 - 6)))/(a + b*x)^n","B"
740,1,80,64,0.447113,"\text{Not used}","int(x^(n - 3)/(a + b*x)^n,x)","\frac{\frac{x\,x^{n-3}\,\left(n-1\right)}{n^2-3\,n+2}+\frac{b^2\,x^{n-3}\,x^3}{a^2\,\left(n^2-3\,n+2\right)}+\frac{b\,n\,x^{n-3}\,x^2}{a\,\left(n^2-3\,n+2\right)}}{{\left(a+b\,x\right)}^n}","Not used",1,"((x*x^(n - 3)*(n - 1))/(n^2 - 3*n + 2) + (b^2*x^(n - 3)*x^3)/(a^2*(n^2 - 3*n + 2)) + (b*n*x^(n - 3)*x^2)/(a*(n^2 - 3*n + 2)))/(a + b*x)^n","B"
741,1,29,28,0.348607,"\text{Not used}","int(x^(n - 2)/(a + b*x)^n,x)","\frac{x^n\,\left(a+b\,x\right)}{a\,x\,\left(n-1\right)\,{\left(a+b\,x\right)}^n}","Not used",1,"(x^n*(a + b*x))/(a*x*(n - 1)*(a + b*x)^n)","B"
742,0,-1,39,0.000000,"\text{Not used}","int(x^(n - 1)/(a + b*x)^n,x)","\int \frac{x^{n-1}}{{\left(a+b\,x\right)}^n} \,d x","Not used",1,"int(x^(n - 1)/(a + b*x)^n, x)","F"
743,0,-1,45,0.000000,"\text{Not used}","int(x^n/(a + b*x)^n,x)","\int \frac{x^n}{{\left(a+b\,x\right)}^n} \,d x","Not used",1,"int(x^n/(a + b*x)^n, x)","F"
744,0,-1,45,0.000000,"\text{Not used}","int(x^(n + 1)/(a + b*x)^n,x)","\int \frac{x^{n+1}}{{\left(a+b\,x\right)}^n} \,d x","Not used",1,"int(x^(n + 1)/(a + b*x)^n, x)","F"
745,0,-1,45,0.000000,"\text{Not used}","int(x^(3/2)*(a + b*x)^n,x)","\int x^{3/2}\,{\left(a+b\,x\right)}^n \,d x","Not used",1,"int(x^(3/2)*(a + b*x)^n, x)","F"
746,0,-1,45,0.000000,"\text{Not used}","int(x^(1/2)*(a + b*x)^n,x)","\int \sqrt{x}\,{\left(a+b\,x\right)}^n \,d x","Not used",1,"int(x^(1/2)*(a + b*x)^n, x)","F"
747,0,-1,43,0.000000,"\text{Not used}","int((a + b*x)^n/x^(1/2),x)","\int \frac{{\left(a+b\,x\right)}^n}{\sqrt{x}} \,d x","Not used",1,"int((a + b*x)^n/x^(1/2), x)","F"
748,0,-1,43,0.000000,"\text{Not used}","int((a + b*x)^n/x^(3/2),x)","\int \frac{{\left(a+b\,x\right)}^n}{x^{3/2}} \,d x","Not used",1,"int((a + b*x)^n/x^(3/2), x)","F"
749,0,-1,45,0.000000,"\text{Not used}","int((a + b*x)^n/x^(5/2),x)","\int \frac{{\left(a+b\,x\right)}^n}{x^{5/2}} \,d x","Not used",1,"int((a + b*x)^n/x^(5/2), x)","F"
750,0,-1,35,0.000000,"\text{Not used}","int((b*x)^m*(d*x + 2)^n,x)","\int {\left(b\,x\right)}^m\,{\left(d\,x+2\right)}^n \,d x","Not used",1,"int((b*x)^m*(d*x + 2)^n, x)","F"
751,0,-1,40,0.000000,"\text{Not used}","int((b*x)^m*(c - b*c*x)^n,x)","\int {\left(b\,x\right)}^m\,{\left(c-b\,c\,x\right)}^n \,d x","Not used",1,"int((b*x)^m*(c - b*c*x)^n, x)","F"
752,0,-1,52,0.000000,"\text{Not used}","int((b*x)^m*(c + d*x)^n,x)","\int {\left(b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((b*x)^m*(c + d*x)^n, x)","F"
753,1,19,19,0.504300,"\text{Not used}","int(x^(n - 1)/(a + b*x)^(n + 1),x)","\frac{x^n}{a\,n\,{\left(a+b\,x\right)}^n}","Not used",1,"x^n/(a*n*(a + b*x)^n)","B"
754,1,86,58,0.498484,"\text{Not used}","int((a + b*x)^n/x^(n + 3),x)","-{\left(a+b\,x\right)}^n\,\left(\frac{x\,\left(n+1\right)}{x^{n+3}\,\left(n^2+3\,n+2\right)}-\frac{b^2\,x^3}{a^2\,x^{n+3}\,\left(n^2+3\,n+2\right)}+\frac{b\,n\,x^2}{a\,x^{n+3}\,\left(n^2+3\,n+2\right)}\right)","Not used",1,"-(a + b*x)^n*((x*(n + 1))/(x^(n + 3)*(3*n + n^2 + 2)) - (b^2*x^3)/(a^2*x^(n + 3)*(3*n + n^2 + 2)) + (b*n*x^2)/(a*x^(n + 3)*(3*n + n^2 + 2)))","B"
755,1,86,58,0.002077,"\text{Not used}","int((a + b*x)^n/x^(n + 3),x)","-{\left(a+b\,x\right)}^n\,\left(\frac{x\,\left(n+1\right)}{x^{n+3}\,\left(n^2+3\,n+2\right)}-\frac{b^2\,x^3}{a^2\,x^{n+3}\,\left(n^2+3\,n+2\right)}+\frac{b\,n\,x^2}{a\,x^{n+3}\,\left(n^2+3\,n+2\right)}\right)","Not used",1,"-(a + b*x)^n*((x*(n + 1))/(x^(n + 3)*(3*n + n^2 + 2)) - (b^2*x^3)/(a^2*x^(n + 3)*(3*n + n^2 + 2)) + (b*n*x^2)/(a*x^(n + 3)*(3*n + n^2 + 2)))","B"
756,0,-1,35,0.000000,"\text{Not used}","int(x^3*(c*x^2)^(1/2)*(a + b*x),x)","\int x^3\,\sqrt{c\,x^2}\,\left(a+b\,x\right) \,d x","Not used",1,"int(x^3*(c*x^2)^(1/2)*(a + b*x), x)","F"
757,0,-1,35,0.000000,"\text{Not used}","int(x^2*(c*x^2)^(1/2)*(a + b*x),x)","\int x^2\,\sqrt{c\,x^2}\,\left(a+b\,x\right) \,d x","Not used",1,"int(x^2*(c*x^2)^(1/2)*(a + b*x), x)","F"
758,0,-1,35,0.000000,"\text{Not used}","int(x*(c*x^2)^(1/2)*(a + b*x),x)","\int x\,\sqrt{c\,x^2}\,\left(a+b\,x\right) \,d x","Not used",1,"int(x*(c*x^2)^(1/2)*(a + b*x), x)","F"
759,1,20,33,0.542359,"\text{Not used}","int((c*x^2)^(1/2)*(a + b*x),x)","\frac{\sqrt{c}\,\left(2\,b\,\sqrt{x^6}+3\,a\,x\,\left|x\right|\right)}{6}","Not used",1,"(c^(1/2)*(2*b*(x^6)^(1/2) + 3*a*x*abs(x)))/6","B"
760,1,14,27,0.191700,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x))/x,x)","\frac{\sqrt{c}\,\left|x\right|\,\left(2\,a+b\,x\right)}{2}","Not used",1,"(c^(1/2)*abs(x)*(2*a + b*x))/2","B"
761,0,-1,28,0.000000,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x))/x^2,x)","\int \frac{\sqrt{c\,x^2}\,\left(a+b\,x\right)}{x^2} \,d x","Not used",1,"int(((c*x^2)^(1/2)*(a + b*x))/x^2, x)","F"
762,0,-1,32,0.000000,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x))/x^3,x)","\int \frac{\sqrt{c\,x^2}\,\left(a+b\,x\right)}{x^3} \,d x","Not used",1,"int(((c*x^2)^(1/2)*(a + b*x))/x^3, x)","F"
763,1,28,26,0.144062,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x))/x^4,x)","-\frac{a\,\sqrt{c}\,x^2+2\,b\,\sqrt{c}\,x^3}{2\,x\,{\left(x^2\right)}^{3/2}}","Not used",1,"-(a*c^(1/2)*x^2 + 2*b*c^(1/2)*x^3)/(2*x*(x^2)^(3/2))","B"
764,0,-1,37,0.000000,"\text{Not used}","int(x^3*(c*x^2)^(3/2)*(a + b*x),x)","\int x^3\,{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right) \,d x","Not used",1,"int(x^3*(c*x^2)^(3/2)*(a + b*x), x)","F"
765,0,-1,37,0.000000,"\text{Not used}","int(x^2*(c*x^2)^(3/2)*(a + b*x),x)","\int x^2\,{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right) \,d x","Not used",1,"int(x^2*(c*x^2)^(3/2)*(a + b*x), x)","F"
766,0,-1,37,0.000000,"\text{Not used}","int(x*(c*x^2)^(3/2)*(a + b*x),x)","\int x\,{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right) \,d x","Not used",1,"int(x*(c*x^2)^(3/2)*(a + b*x), x)","F"
767,0,-1,37,0.000000,"\text{Not used}","int((c*x^2)^(3/2)*(a + b*x),x)","\int {\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right) \,d x","Not used",1,"int((c*x^2)^(3/2)*(a + b*x), x)","F"
768,0,-1,37,0.000000,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x))/x,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)}{x} \,d x","Not used",1,"int(((c*x^2)^(3/2)*(a + b*x))/x, x)","F"
769,1,20,35,0.266974,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x))/x^2,x)","\frac{c^{3/2}\,\left(2\,b\,\sqrt{x^6}+3\,a\,x\,\left|x\right|\right)}{6}","Not used",1,"(c^(3/2)*(2*b*(x^6)^(1/2) + 3*a*x*abs(x)))/6","B"
770,1,14,29,0.222421,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x))/x^3,x)","\frac{c^{3/2}\,\left|x\right|\,\left(2\,a+b\,x\right)}{2}","Not used",1,"(c^(3/2)*abs(x)*(2*a + b*x))/2","B"
771,0,-1,30,0.000000,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x))/x^4,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)}{x^4} \,d x","Not used",1,"int(((c*x^2)^(3/2)*(a + b*x))/x^4, x)","F"
772,0,-1,41,0.000000,"\text{Not used}","int(x^3*(c*x^2)^(5/2)*(a + b*x),x)","\int x^3\,{\left(c\,x^2\right)}^{5/2}\,\left(a+b\,x\right) \,d x","Not used",1,"int(x^3*(c*x^2)^(5/2)*(a + b*x), x)","F"
773,0,-1,41,0.000000,"\text{Not used}","int(x^2*(c*x^2)^(5/2)*(a + b*x),x)","\int x^2\,{\left(c\,x^2\right)}^{5/2}\,\left(a+b\,x\right) \,d x","Not used",1,"int(x^2*(c*x^2)^(5/2)*(a + b*x), x)","F"
774,0,-1,41,0.000000,"\text{Not used}","int(x*(c*x^2)^(5/2)*(a + b*x),x)","\int x\,{\left(c\,x^2\right)}^{5/2}\,\left(a+b\,x\right) \,d x","Not used",1,"int(x*(c*x^2)^(5/2)*(a + b*x), x)","F"
775,0,-1,41,0.000000,"\text{Not used}","int((c*x^2)^(5/2)*(a + b*x),x)","\int {\left(c\,x^2\right)}^{5/2}\,\left(a+b\,x\right) \,d x","Not used",1,"int((c*x^2)^(5/2)*(a + b*x), x)","F"
776,0,-1,41,0.000000,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x))/x,x)","\int \frac{{\left(c\,x^2\right)}^{5/2}\,\left(a+b\,x\right)}{x} \,d x","Not used",1,"int(((c*x^2)^(5/2)*(a + b*x))/x, x)","F"
777,1,25,41,0.283757,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x))/x^2,x)","\frac{c^{5/2}\,\left(4\,b\,\sqrt{x^{10}}+5\,a\,x^3\,\sqrt{x^2}\right)}{20}","Not used",1,"(c^(5/2)*(4*b*(x^10)^(1/2) + 5*a*x^3*(x^2)^(1/2)))/20","B"
778,1,25,41,0.265135,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x))/x^3,x)","\frac{c^{5/2}\,\left(4\,a\,\sqrt{x^6}+3\,b\,x^3\,\sqrt{x^2}\right)}{12}","Not used",1,"(c^(5/2)*(4*a*(x^6)^(1/2) + 3*b*x^3*(x^2)^(1/2)))/12","B"
779,1,20,39,0.260335,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x))/x^4,x)","\frac{c^{5/2}\,\left(2\,b\,\sqrt{x^6}+3\,a\,x\,\left|x\right|\right)}{6}","Not used",1,"(c^(5/2)*(2*b*(x^6)^(1/2) + 3*a*x*abs(x)))/6","B"
780,0,-1,35,0.000000,"\text{Not used}","int((x^3*(a + b*x))/(c*x^2)^(1/2),x)","\int \frac{x^3\,\left(a+b\,x\right)}{\sqrt{c\,x^2}} \,d x","Not used",1,"int((x^3*(a + b*x))/(c*x^2)^(1/2), x)","F"
781,1,23,35,0.251140,"\text{Not used}","int((x^2*(a + b*x))/(c*x^2)^(1/2),x)","\frac{2\,b\,\sqrt{x^6}+3\,a\,x\,\sqrt{x^2}}{6\,\sqrt{c}}","Not used",1,"(2*b*(x^6)^(1/2) + 3*a*x*(x^2)^(1/2))/(6*c^(1/2))","B"
782,1,19,32,0.221041,"\text{Not used}","int((x*(a + b*x))/(c*x^2)^(1/2),x)","\frac{2\,a\,\left|x\right|+b\,x\,\sqrt{x^2}}{2\,\sqrt{c}}","Not used",1,"(2*a*abs(x) + b*x*(x^2)^(1/2))/(2*c^(1/2))","B"
783,1,17,29,0.513424,"\text{Not used}","int((a + b*x)/(c*x^2)^(1/2),x)","\frac{b\,\left|x\right|+a\,\ln\left(c\,x\right)\,\mathrm{sign}\left(x\right)}{\sqrt{c}}","Not used",1,"(b*abs(x) + a*log(c*x)*sign(x))/c^(1/2)","B"
784,1,22,27,1.222461,"\text{Not used}","int((a + b*x)/(x*(c*x^2)^(1/2)),x)","-\frac{\frac{a}{\sqrt{x^2}}-b\,\ln\left(c\,x\right)\,\mathrm{sign}\left(x\right)}{\sqrt{c}}","Not used",1,"-(a/(x^2)^(1/2) - b*log(c*x)*sign(x))/c^(1/2)","B"
785,1,25,26,0.157342,"\text{Not used}","int((a + b*x)/(x^2*(c*x^2)^(1/2)),x)","-\frac{2\,b\,x^3+a\,x^2}{2\,\sqrt{c}\,x\,{\left(x^2\right)}^{3/2}}","Not used",1,"-(a*x^2 + 2*b*x^3)/(2*c^(1/2)*x*(x^2)^(3/2))","B"
786,1,26,35,0.148987,"\text{Not used}","int((a + b*x)/(x^3*(c*x^2)^(1/2)),x)","-\frac{2\,a\,\sqrt{x^2}+3\,b\,x\,\sqrt{x^2}}{6\,\sqrt{c}\,x^4}","Not used",1,"-(2*a*(x^2)^(1/2) + 3*b*x*(x^2)^(1/2))/(6*c^(1/2)*x^4)","B"
787,1,26,35,0.148939,"\text{Not used}","int((a + b*x)/(x^4*(c*x^2)^(1/2)),x)","-\frac{3\,a\,\sqrt{x^2}+4\,b\,x\,\sqrt{x^2}}{12\,\sqrt{c}\,x^5}","Not used",1,"-(3*a*(x^2)^(1/2) + 4*b*x*(x^2)^(1/2))/(12*c^(1/2)*x^5)","B"
788,0,-1,38,0.000000,"\text{Not used}","int((x^3*(a + b*x))/(c*x^2)^(3/2),x)","\int \frac{x^3\,\left(a+b\,x\right)}{{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(a + b*x))/(c*x^2)^(3/2), x)","F"
789,1,30,35,0.320315,"\text{Not used}","int((x^2*(a + b*x))/(c*x^2)^(3/2),x)","\frac{b\,\left|x\right|}{c^{3/2}}+\frac{a\,\ln\left(x+\left|x\right|\right)}{c^{3/2}}-\frac{a\,x}{c^{3/2}\,\sqrt{x^2}}","Not used",1,"(b*abs(x))/c^(3/2) + (a*log(x + abs(x)))/c^(3/2) - (a*x)/(c^(3/2)*(x^2)^(1/2))","B"
790,1,28,33,0.250460,"\text{Not used}","int((x*(a + b*x))/(c*x^2)^(3/2),x)","-\frac{a+b\,x-b\,\ln\left(x+\left|x\right|\right)\,\sqrt{x^2}}{c^{3/2}\,\sqrt{x^2}}","Not used",1,"-(a + b*x - b*log(x + abs(x))*(x^2)^(1/2))/(c^(3/2)*(x^2)^(1/2))","B"
791,1,25,29,0.148633,"\text{Not used}","int((a + b*x)/(c*x^2)^(3/2),x)","-\frac{2\,b\,x^3+a\,x^2}{2\,c^{3/2}\,x\,{\left(x^2\right)}^{3/2}}","Not used",1,"-(a*x^2 + 2*b*x^3)/(2*c^(3/2)*x*(x^2)^(3/2))","B"
792,1,26,41,0.158045,"\text{Not used}","int((a + b*x)/(x*(c*x^2)^(3/2)),x)","-\frac{2\,a\,\sqrt{x^2}+3\,b\,x\,\sqrt{x^2}}{6\,c^{3/2}\,x^4}","Not used",1,"-(2*a*(x^2)^(1/2) + 3*b*x*(x^2)^(1/2))/(6*c^(3/2)*x^4)","B"
793,1,26,41,0.151484,"\text{Not used}","int((a + b*x)/(x^2*(c*x^2)^(3/2)),x)","-\frac{3\,a\,\sqrt{x^2}+4\,b\,x\,\sqrt{x^2}}{12\,c^{3/2}\,x^5}","Not used",1,"-(3*a*(x^2)^(1/2) + 4*b*x*(x^2)^(1/2))/(12*c^(3/2)*x^5)","B"
794,1,26,41,0.148814,"\text{Not used}","int((a + b*x)/(x^3*(c*x^2)^(3/2)),x)","-\frac{4\,a\,\sqrt{x^2}+5\,b\,x\,\sqrt{x^2}}{20\,c^{3/2}\,x^6}","Not used",1,"-(4*a*(x^2)^(1/2) + 5*b*x*(x^2)^(1/2))/(20*c^(3/2)*x^6)","B"
795,1,26,41,0.151210,"\text{Not used}","int((a + b*x)/(x^4*(c*x^2)^(3/2)),x)","-\frac{5\,a\,\sqrt{x^2}+6\,b\,x\,\sqrt{x^2}}{30\,c^{3/2}\,x^7}","Not used",1,"-(5*a*(x^2)^(1/2) + 6*b*x*(x^2)^(1/2))/(30*c^(3/2)*x^7)","B"
796,0,-1,33,0.000000,"\text{Not used}","int((x^3*(a + b*x))/(c*x^2)^(5/2),x)","\int \frac{x^3\,\left(a+b\,x\right)}{{\left(c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(a + b*x))/(c*x^2)^(5/2), x)","F"
797,1,25,29,0.153349,"\text{Not used}","int((x^2*(a + b*x))/(c*x^2)^(5/2),x)","-\frac{2\,b\,x^3+a\,x^2}{2\,c^{5/2}\,x\,{\left(x^2\right)}^{3/2}}","Not used",1,"-(a*x^2 + 2*b*x^3)/(2*c^(5/2)*x*(x^2)^(3/2))","B"
798,1,26,41,0.151340,"\text{Not used}","int((x*(a + b*x))/(c*x^2)^(5/2),x)","-\frac{2\,a\,\sqrt{x^2}+3\,b\,x\,\sqrt{x^2}}{6\,c^{5/2}\,x^4}","Not used",1,"-(2*a*(x^2)^(1/2) + 3*b*x*(x^2)^(1/2))/(6*c^(5/2)*x^4)","B"
799,1,26,41,0.159976,"\text{Not used}","int((a + b*x)/(c*x^2)^(5/2),x)","-\frac{3\,a\,\sqrt{x^2}+4\,b\,x\,\sqrt{x^2}}{12\,c^{5/2}\,x^5}","Not used",1,"-(3*a*(x^2)^(1/2) + 4*b*x*(x^2)^(1/2))/(12*c^(5/2)*x^5)","B"
800,1,26,41,0.157581,"\text{Not used}","int((a + b*x)/(x*(c*x^2)^(5/2)),x)","-\frac{4\,a\,\sqrt{x^2}+5\,b\,x\,\sqrt{x^2}}{20\,c^{5/2}\,x^6}","Not used",1,"-(4*a*(x^2)^(1/2) + 5*b*x*(x^2)^(1/2))/(20*c^(5/2)*x^6)","B"
801,1,26,41,0.162444,"\text{Not used}","int((a + b*x)/(x^2*(c*x^2)^(5/2)),x)","-\frac{5\,a\,\sqrt{x^2}+6\,b\,x\,\sqrt{x^2}}{30\,c^{5/2}\,x^7}","Not used",1,"-(5*a*(x^2)^(1/2) + 6*b*x*(x^2)^(1/2))/(30*c^(5/2)*x^7)","B"
802,1,26,41,0.158854,"\text{Not used}","int((a + b*x)/(x^3*(c*x^2)^(5/2)),x)","-\frac{6\,a\,\sqrt{x^2}+7\,b\,x\,\sqrt{x^2}}{42\,c^{5/2}\,x^8}","Not used",1,"-(6*a*(x^2)^(1/2) + 7*b*x*(x^2)^(1/2))/(42*c^(5/2)*x^8)","B"
803,1,26,41,0.161966,"\text{Not used}","int((a + b*x)/(x^4*(c*x^2)^(5/2)),x)","-\frac{7\,a\,\sqrt{x^2}+8\,b\,x\,\sqrt{x^2}}{56\,c^{5/2}\,x^9}","Not used",1,"-(7*a*(x^2)^(1/2) + 8*b*x*(x^2)^(1/2))/(56*c^(5/2)*x^9)","B"
804,0,-1,57,0.000000,"\text{Not used}","int(x^3*(c*x^2)^(1/2)*(a + b*x)^2,x)","\int x^3\,\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^3*(c*x^2)^(1/2)*(a + b*x)^2, x)","F"
805,0,-1,57,0.000000,"\text{Not used}","int(x^2*(c*x^2)^(1/2)*(a + b*x)^2,x)","\int x^2\,\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^2*(c*x^2)^(1/2)*(a + b*x)^2, x)","F"
806,0,-1,57,0.000000,"\text{Not used}","int(x*(c*x^2)^(1/2)*(a + b*x)^2,x)","\int x\,\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x*(c*x^2)^(1/2)*(a + b*x)^2, x)","F"
807,0,-1,55,0.000000,"\text{Not used}","int((c*x^2)^(1/2)*(a + b*x)^2,x)","\int \sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int((c*x^2)^(1/2)*(a + b*x)^2, x)","F"
808,0,-1,26,0.000000,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x)^2)/x,x)","\int \frac{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2}{x} \,d x","Not used",1,"int(((c*x^2)^(1/2)*(a + b*x)^2)/x, x)","F"
809,0,-1,49,0.000000,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x)^2)/x^2,x)","\int \frac{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2}{x^2} \,d x","Not used",1,"int(((c*x^2)^(1/2)*(a + b*x)^2)/x^2, x)","F"
810,0,-1,49,0.000000,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x)^2)/x^3,x)","\int \frac{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2}{x^3} \,d x","Not used",1,"int(((c*x^2)^(1/2)*(a + b*x)^2)/x^3, x)","F"
811,0,-1,54,0.000000,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x)^2)/x^4,x)","\int \frac{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2}{x^4} \,d x","Not used",1,"int(((c*x^2)^(1/2)*(a + b*x)^2)/x^4, x)","F"
812,0,-1,60,0.000000,"\text{Not used}","int(x^3*(c*x^2)^(3/2)*(a + b*x)^2,x)","\int x^3\,{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^3*(c*x^2)^(3/2)*(a + b*x)^2, x)","F"
813,0,-1,60,0.000000,"\text{Not used}","int(x^2*(c*x^2)^(3/2)*(a + b*x)^2,x)","\int x^2\,{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^2*(c*x^2)^(3/2)*(a + b*x)^2, x)","F"
814,0,-1,60,0.000000,"\text{Not used}","int(x*(c*x^2)^(3/2)*(a + b*x)^2,x)","\int x\,{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x*(c*x^2)^(3/2)*(a + b*x)^2, x)","F"
815,0,-1,60,0.000000,"\text{Not used}","int((c*x^2)^(3/2)*(a + b*x)^2,x)","\int {\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int((c*x^2)^(3/2)*(a + b*x)^2, x)","F"
816,0,-1,60,0.000000,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^2)/x,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2}{x} \,d x","Not used",1,"int(((c*x^2)^(3/2)*(a + b*x)^2)/x, x)","F"
817,0,-1,58,0.000000,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^2)/x^2,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2}{x^2} \,d x","Not used",1,"int(((c*x^2)^(3/2)*(a + b*x)^2)/x^2, x)","F"
818,0,-1,27,0.000000,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^2)/x^3,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2}{x^3} \,d x","Not used",1,"int(((c*x^2)^(3/2)*(a + b*x)^2)/x^3, x)","F"
819,0,-1,52,0.000000,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^2)/x^4,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2}{x^4} \,d x","Not used",1,"int(((c*x^2)^(3/2)*(a + b*x)^2)/x^4, x)","F"
820,0,-1,66,0.000000,"\text{Not used}","int(x*(c*x^2)^(5/2)*(a + b*x)^2,x)","\int x\,{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x*(c*x^2)^(5/2)*(a + b*x)^2, x)","F"
821,0,-1,66,0.000000,"\text{Not used}","int((c*x^2)^(5/2)*(a + b*x)^2,x)","\int {\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int((c*x^2)^(5/2)*(a + b*x)^2, x)","F"
822,0,-1,66,0.000000,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^2)/x,x)","\int \frac{{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^2}{x} \,d x","Not used",1,"int(((c*x^2)^(5/2)*(a + b*x)^2)/x, x)","F"
823,0,-1,66,0.000000,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^2)/x^2,x)","\int \frac{{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^2}{x^2} \,d x","Not used",1,"int(((c*x^2)^(5/2)*(a + b*x)^2)/x^2, x)","F"
824,0,-1,66,0.000000,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^2)/x^3,x)","\int \frac{{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^2}{x^3} \,d x","Not used",1,"int(((c*x^2)^(5/2)*(a + b*x)^2)/x^3, x)","F"
825,0,-1,64,0.000000,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^2)/x^4,x)","\int \frac{{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^2}{x^4} \,d x","Not used",1,"int(((c*x^2)^(5/2)*(a + b*x)^2)/x^4, x)","F"
826,0,-1,29,0.000000,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^2)/x^5,x)","\int \frac{{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^2}{x^5} \,d x","Not used",1,"int(((c*x^2)^(5/2)*(a + b*x)^2)/x^5, x)","F"
827,0,-1,58,0.000000,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^2)/x^6,x)","\int \frac{{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^2}{x^6} \,d x","Not used",1,"int(((c*x^2)^(5/2)*(a + b*x)^2)/x^6, x)","F"
828,0,-1,57,0.000000,"\text{Not used}","int((x^3*(a + b*x)^2)/(c*x^2)^(1/2),x)","\int \frac{x^3\,{\left(a+b\,x\right)}^2}{\sqrt{c\,x^2}} \,d x","Not used",1,"int((x^3*(a + b*x)^2)/(c*x^2)^(1/2), x)","F"
829,0,-1,57,0.000000,"\text{Not used}","int((x^2*(a + b*x)^2)/(c*x^2)^(1/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^2}{\sqrt{c\,x^2}} \,d x","Not used",1,"int((x^2*(a + b*x)^2)/(c*x^2)^(1/2), x)","F"
830,0,-1,24,0.000000,"\text{Not used}","int((x*(a + b*x)^2)/(c*x^2)^(1/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^2}{\sqrt{c\,x^2}} \,d x","Not used",1,"int((x*(a + b*x)^2)/(c*x^2)^(1/2), x)","F"
831,0,-1,52,0.000000,"\text{Not used}","int((a + b*x)^2/(c*x^2)^(1/2),x)","\int \frac{{\left(a+b\,x\right)}^2}{\sqrt{c\,x^2}} \,d x","Not used",1,"int((a + b*x)^2/(c*x^2)^(1/2), x)","F"
832,0,-1,47,0.000000,"\text{Not used}","int((a + b*x)^2/(x*(c*x^2)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^2}{x\,\sqrt{c\,x^2}} \,d x","Not used",1,"int((a + b*x)^2/(x*(c*x^2)^(1/2)), x)","F"
833,0,-1,49,0.000000,"\text{Not used}","int((a + b*x)^2/(x^2*(c*x^2)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^2}{x^2\,\sqrt{c\,x^2}} \,d x","Not used",1,"int((a + b*x)^2/(x^2*(c*x^2)^(1/2)), x)","F"
834,1,33,26,0.182539,"\text{Not used}","int((a + b*x)^2/(x^3*(c*x^2)^(1/2)),x)","-\frac{a^2\,x^2+3\,a\,b\,x^3+3\,b^2\,x^4}{3\,\sqrt{c}\,{\left(x^2\right)}^{5/2}}","Not used",1,"-(a^2*x^2 + 3*b^2*x^4 + 3*a*b*x^3)/(3*c^(1/2)*(x^2)^(5/2))","B"
835,1,42,57,0.187087,"\text{Not used}","int((a + b*x)^2/(x^4*(c*x^2)^(1/2)),x)","-\frac{3\,a^2\,\sqrt{x^2}+6\,b^2\,x^2\,\sqrt{x^2}+8\,a\,b\,x\,\sqrt{x^2}}{12\,\sqrt{c}\,x^5}","Not used",1,"-(3*a^2*(x^2)^(1/2) + 6*b^2*x^2*(x^2)^(1/2) + 8*a*b*x*(x^2)^(1/2))/(12*c^(1/2)*x^5)","B"
836,0,-1,27,0.000000,"\text{Not used}","int((x^3*(a + b*x)^2)/(c*x^2)^(3/2),x)","\int \frac{x^3\,{\left(a+b\,x\right)}^2}{{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(a + b*x)^2)/(c*x^2)^(3/2), x)","F"
837,0,-1,61,0.000000,"\text{Not used}","int((x^2*(a + b*x)^2)/(c*x^2)^(3/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^2}{{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^2)/(c*x^2)^(3/2), x)","F"
838,0,-1,56,0.000000,"\text{Not used}","int((x*(a + b*x)^2)/(c*x^2)^(3/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^2}{{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*(a + b*x)^2)/(c*x^2)^(3/2), x)","F"
839,0,-1,58,0.000000,"\text{Not used}","int((a + b*x)^2/(c*x^2)^(3/2),x)","\int \frac{{\left(a+b\,x\right)}^2}{{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^2/(c*x^2)^(3/2), x)","F"
840,1,33,29,0.191414,"\text{Not used}","int((a + b*x)^2/(x*(c*x^2)^(3/2)),x)","-\frac{a^2\,x^2+3\,a\,b\,x^3+3\,b^2\,x^4}{3\,c^{3/2}\,{\left(x^2\right)}^{5/2}}","Not used",1,"-(a^2*x^2 + 3*b^2*x^4 + 3*a*b*x^3)/(3*c^(3/2)*(x^2)^(5/2))","B"
841,1,42,66,0.192865,"\text{Not used}","int((a + b*x)^2/(x^2*(c*x^2)^(3/2)),x)","-\frac{3\,a^2\,\sqrt{x^2}+6\,b^2\,x^2\,\sqrt{x^2}+8\,a\,b\,x\,\sqrt{x^2}}{12\,c^{3/2}\,x^5}","Not used",1,"-(3*a^2*(x^2)^(1/2) + 6*b^2*x^2*(x^2)^(1/2) + 8*a*b*x*(x^2)^(1/2))/(12*c^(3/2)*x^5)","B"
842,1,42,66,0.196801,"\text{Not used}","int((a + b*x)^2/(x^3*(c*x^2)^(3/2)),x)","-\frac{6\,a^2\,\sqrt{x^2}+10\,b^2\,x^2\,\sqrt{x^2}+15\,a\,b\,x\,\sqrt{x^2}}{30\,c^{3/2}\,x^6}","Not used",1,"-(6*a^2*(x^2)^(1/2) + 10*b^2*x^2*(x^2)^(1/2) + 15*a*b*x*(x^2)^(1/2))/(30*c^(3/2)*x^6)","B"
843,1,42,66,0.175172,"\text{Not used}","int((a + b*x)^2/(x^4*(c*x^2)^(3/2)),x)","-\frac{10\,a^2\,\sqrt{x^2}+15\,b^2\,x^2\,\sqrt{x^2}+24\,a\,b\,x\,\sqrt{x^2}}{60\,c^{3/2}\,x^7}","Not used",1,"-(10*a^2*(x^2)^(1/2) + 15*b^2*x^2*(x^2)^(1/2) + 24*a*b*x*(x^2)^(1/2))/(60*c^(3/2)*x^7)","B"
844,0,-1,56,0.000000,"\text{Not used}","int((x^3*(a + b*x)^2)/(c*x^2)^(5/2),x)","\int \frac{x^3\,{\left(a+b\,x\right)}^2}{{\left(c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(a + b*x)^2)/(c*x^2)^(5/2), x)","F"
845,0,-1,58,0.000000,"\text{Not used}","int((x^2*(a + b*x)^2)/(c*x^2)^(5/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^2}{{\left(c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^2)/(c*x^2)^(5/2), x)","F"
846,1,33,29,0.180075,"\text{Not used}","int((x*(a + b*x)^2)/(c*x^2)^(5/2),x)","-\frac{a^2\,x^2+3\,a\,b\,x^3+3\,b^2\,x^4}{3\,c^{5/2}\,{\left(x^2\right)}^{5/2}}","Not used",1,"-(a^2*x^2 + 3*b^2*x^4 + 3*a*b*x^3)/(3*c^(5/2)*(x^2)^(5/2))","B"
847,1,42,66,0.174975,"\text{Not used}","int((a + b*x)^2/(c*x^2)^(5/2),x)","-\frac{3\,a^2\,\sqrt{x^2}+6\,b^2\,x^2\,\sqrt{x^2}+8\,a\,b\,x\,\sqrt{x^2}}{12\,c^{5/2}\,x^5}","Not used",1,"-(3*a^2*(x^2)^(1/2) + 6*b^2*x^2*(x^2)^(1/2) + 8*a*b*x*(x^2)^(1/2))/(12*c^(5/2)*x^5)","B"
848,1,42,66,0.176108,"\text{Not used}","int((a + b*x)^2/(x*(c*x^2)^(5/2)),x)","-\frac{6\,a^2\,\sqrt{x^2}+10\,b^2\,x^2\,\sqrt{x^2}+15\,a\,b\,x\,\sqrt{x^2}}{30\,c^{5/2}\,x^6}","Not used",1,"-(6*a^2*(x^2)^(1/2) + 10*b^2*x^2*(x^2)^(1/2) + 15*a*b*x*(x^2)^(1/2))/(30*c^(5/2)*x^6)","B"
849,1,42,66,0.180100,"\text{Not used}","int((a + b*x)^2/(x^2*(c*x^2)^(5/2)),x)","-\frac{10\,a^2\,\sqrt{x^2}+15\,b^2\,x^2\,\sqrt{x^2}+24\,a\,b\,x\,\sqrt{x^2}}{60\,c^{5/2}\,x^7}","Not used",1,"-(10*a^2*(x^2)^(1/2) + 15*b^2*x^2*(x^2)^(1/2) + 24*a*b*x*(x^2)^(1/2))/(60*c^(5/2)*x^7)","B"
850,1,42,66,0.181523,"\text{Not used}","int((a + b*x)^2/(x^3*(c*x^2)^(5/2)),x)","-\frac{15\,a^2\,\sqrt{x^2}+21\,b^2\,x^2\,\sqrt{x^2}+35\,a\,b\,x\,\sqrt{x^2}}{105\,c^{5/2}\,x^8}","Not used",1,"-(15*a^2*(x^2)^(1/2) + 21*b^2*x^2*(x^2)^(1/2) + 35*a*b*x*(x^2)^(1/2))/(105*c^(5/2)*x^8)","B"
851,1,42,66,0.180417,"\text{Not used}","int((a + b*x)^2/(x^4*(c*x^2)^(5/2)),x)","-\frac{21\,a^2\,\sqrt{x^2}+28\,b^2\,x^2\,\sqrt{x^2}+48\,a\,b\,x\,\sqrt{x^2}}{168\,c^{5/2}\,x^9}","Not used",1,"-(21*a^2*(x^2)^(1/2) + 28*b^2*x^2*(x^2)^(1/2) + 48*a*b*x*(x^2)^(1/2))/(168*c^(5/2)*x^9)","B"
852,0,-1,102,0.000000,"\text{Not used}","int((x^3*(c*x^2)^(1/2))/(a + b*x),x)","\int \frac{x^3\,\sqrt{c\,x^2}}{a+b\,x} \,d x","Not used",1,"int((x^3*(c*x^2)^(1/2))/(a + b*x), x)","F"
853,0,-1,80,0.000000,"\text{Not used}","int((x^2*(c*x^2)^(1/2))/(a + b*x),x)","\int \frac{x^2\,\sqrt{c\,x^2}}{a+b\,x} \,d x","Not used",1,"int((x^2*(c*x^2)^(1/2))/(a + b*x), x)","F"
854,0,-1,58,0.000000,"\text{Not used}","int((x*(c*x^2)^(1/2))/(a + b*x),x)","\int \frac{x\,\sqrt{c\,x^2}}{a+b\,x} \,d x","Not used",1,"int((x*(c*x^2)^(1/2))/(a + b*x), x)","F"
855,0,-1,38,0.000000,"\text{Not used}","int((c*x^2)^(1/2)/(a + b*x),x)","\int \frac{\sqrt{c\,x^2}}{a+b\,x} \,d x","Not used",1,"int((c*x^2)^(1/2)/(a + b*x), x)","F"
856,0,-1,22,0.000000,"\text{Not used}","int((c*x^2)^(1/2)/(x*(a + b*x)),x)","\int \frac{\sqrt{c\,x^2}}{x\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(1/2)/(x*(a + b*x)), x)","F"
857,0,-1,42,0.000000,"\text{Not used}","int((c*x^2)^(1/2)/(x^2*(a + b*x)),x)","\int \frac{\sqrt{c\,x^2}}{x^2\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(1/2)/(x^2*(a + b*x)), x)","F"
858,0,-1,61,0.000000,"\text{Not used}","int((c*x^2)^(1/2)/(x^3*(a + b*x)),x)","\int \frac{\sqrt{c\,x^2}}{x^3\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(1/2)/(x^3*(a + b*x)), x)","F"
859,0,-1,84,0.000000,"\text{Not used}","int((c*x^2)^(1/2)/(x^4*(a + b*x)),x)","\int \frac{\sqrt{c\,x^2}}{x^4\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(1/2)/(x^4*(a + b*x)), x)","F"
860,0,-1,107,0.000000,"\text{Not used}","int((x*(c*x^2)^(3/2))/(a + b*x),x)","\int \frac{x\,{\left(c\,x^2\right)}^{3/2}}{a+b\,x} \,d x","Not used",1,"int((x*(c*x^2)^(3/2))/(a + b*x), x)","F"
861,0,-1,84,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(a + b*x),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{a+b\,x} \,d x","Not used",1,"int((c*x^2)^(3/2)/(a + b*x), x)","F"
862,0,-1,61,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x*(a + b*x)), x)","F"
863,0,-1,40,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^2*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^2\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^2*(a + b*x)), x)","F"
864,0,-1,23,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^3*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^3\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^3*(a + b*x)), x)","F"
865,0,-1,44,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^4*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^4\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^4*(a + b*x)), x)","F"
866,0,-1,64,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^5*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^5\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^5*(a + b*x)), x)","F"
867,0,-1,88,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^6*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^6\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^6*(a + b*x)), x)","F"
868,0,-1,112,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^7*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^7\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^7*(a + b*x)), x)","F"
869,0,-1,142,0.000000,"\text{Not used}","int((c*x^2)^(5/2)/(a + b*x),x)","\int \frac{{\left(c\,x^2\right)}^{5/2}}{a+b\,x} \,d x","Not used",1,"int((c*x^2)^(5/2)/(a + b*x), x)","F"
870,0,-1,117,0.000000,"\text{Not used}","int((c*x^2)^(5/2)/(x*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{5/2}}{x\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(5/2)/(x*(a + b*x)), x)","F"
871,0,-1,92,0.000000,"\text{Not used}","int((c*x^2)^(5/2)/(x^2*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{5/2}}{x^2\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(5/2)/(x^2*(a + b*x)), x)","F"
872,0,-1,67,0.000000,"\text{Not used}","int((c*x^2)^(5/2)/(x^3*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{5/2}}{x^3\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(5/2)/(x^3*(a + b*x)), x)","F"
873,0,-1,44,0.000000,"\text{Not used}","int((c*x^2)^(5/2)/(x^4*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{5/2}}{x^4\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(5/2)/(x^4*(a + b*x)), x)","F"
874,0,-1,25,0.000000,"\text{Not used}","int((c*x^2)^(5/2)/(x^5*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{5/2}}{x^5\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(5/2)/(x^5*(a + b*x)), x)","F"
875,0,-1,48,0.000000,"\text{Not used}","int((c*x^2)^(5/2)/(x^6*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{5/2}}{x^6\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(5/2)/(x^6*(a + b*x)), x)","F"
876,0,-1,70,0.000000,"\text{Not used}","int((c*x^2)^(5/2)/(x^7*(a + b*x)),x)","\int \frac{{\left(c\,x^2\right)}^{5/2}}{x^7\,\left(a+b\,x\right)} \,d x","Not used",1,"int((c*x^2)^(5/2)/(x^7*(a + b*x)), x)","F"
877,0,-1,83,0.000000,"\text{Not used}","int(x^4/((c*x^2)^(1/2)*(a + b*x)),x)","\int \frac{x^4}{\sqrt{c\,x^2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x^4/((c*x^2)^(1/2)*(a + b*x)), x)","F"
878,0,-1,61,0.000000,"\text{Not used}","int(x^3/((c*x^2)^(1/2)*(a + b*x)),x)","\int \frac{x^3}{\sqrt{c\,x^2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x^3/((c*x^2)^(1/2)*(a + b*x)), x)","F"
879,0,-1,39,0.000000,"\text{Not used}","int(x^2/((c*x^2)^(1/2)*(a + b*x)),x)","\int \frac{x^2}{\sqrt{c\,x^2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x^2/((c*x^2)^(1/2)*(a + b*x)), x)","F"
880,0,-1,20,0.000000,"\text{Not used}","int(x/((c*x^2)^(1/2)*(a + b*x)),x)","\int \frac{x}{\sqrt{c\,x^2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x/((c*x^2)^(1/2)*(a + b*x)), x)","F"
881,0,-1,38,0.000000,"\text{Not used}","int(1/((c*x^2)^(1/2)*(a + b*x)),x)","\int \frac{1}{\sqrt{c\,x^2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(1/((c*x^2)^(1/2)*(a + b*x)), x)","F"
882,0,-1,54,0.000000,"\text{Not used}","int(1/(x*(c*x^2)^(1/2)*(a + b*x)),x)","\int \frac{1}{x\,\sqrt{c\,x^2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(1/(x*(c*x^2)^(1/2)*(a + b*x)), x)","F"
883,0,-1,77,0.000000,"\text{Not used}","int(1/(x^2*(c*x^2)^(1/2)*(a + b*x)),x)","\int \frac{1}{x^2\,\sqrt{c\,x^2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(1/(x^2*(c*x^2)^(1/2)*(a + b*x)), x)","F"
884,0,-1,100,0.000000,"\text{Not used}","int(1/(x^3*(c*x^2)^(1/2)*(a + b*x)),x)","\int \frac{1}{x^3\,\sqrt{c\,x^2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(1/(x^3*(c*x^2)^(1/2)*(a + b*x)), x)","F"
885,0,-1,95,0.000000,"\text{Not used}","int(x^6/((c*x^2)^(3/2)*(a + b*x)),x)","\int \frac{x^6}{{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x^6/((c*x^2)^(3/2)*(a + b*x)), x)","F"
886,0,-1,70,0.000000,"\text{Not used}","int(x^5/((c*x^2)^(3/2)*(a + b*x)),x)","\int \frac{x^5}{{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x^5/((c*x^2)^(3/2)*(a + b*x)), x)","F"
887,0,-1,45,0.000000,"\text{Not used}","int(x^4/((c*x^2)^(3/2)*(a + b*x)),x)","\int \frac{x^4}{{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x^4/((c*x^2)^(3/2)*(a + b*x)), x)","F"
888,0,-1,23,0.000000,"\text{Not used}","int(x^3/((c*x^2)^(3/2)*(a + b*x)),x)","\int \frac{x^3}{{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x^3/((c*x^2)^(3/2)*(a + b*x)), x)","F"
889,0,-1,44,0.000000,"\text{Not used}","int(x^2/((c*x^2)^(3/2)*(a + b*x)),x)","\int \frac{x^2}{{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x^2/((c*x^2)^(3/2)*(a + b*x)), x)","F"
890,0,-1,63,0.000000,"\text{Not used}","int(x/((c*x^2)^(3/2)*(a + b*x)),x)","\int \frac{x}{{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(x/((c*x^2)^(3/2)*(a + b*x)), x)","F"
891,0,-1,89,0.000000,"\text{Not used}","int(1/((c*x^2)^(3/2)*(a + b*x)),x)","\int \frac{1}{{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(1/((c*x^2)^(3/2)*(a + b*x)), x)","F"
892,0,-1,115,0.000000,"\text{Not used}","int(1/(x*(c*x^2)^(3/2)*(a + b*x)),x)","\int \frac{1}{x\,{\left(c\,x^2\right)}^{3/2}\,\left(a+b\,x\right)} \,d x","Not used",1,"int(1/(x*(c*x^2)^(3/2)*(a + b*x)), x)","F"
893,0,-1,106,0.000000,"\text{Not used}","int((x^3*(c*x^2)^(1/2))/(a + b*x)^2,x)","\int \frac{x^3\,\sqrt{c\,x^2}}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((x^3*(c*x^2)^(1/2))/(a + b*x)^2, x)","F"
894,0,-1,85,0.000000,"\text{Not used}","int((x^2*(c*x^2)^(1/2))/(a + b*x)^2,x)","\int \frac{x^2\,\sqrt{c\,x^2}}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((x^2*(c*x^2)^(1/2))/(a + b*x)^2, x)","F"
895,0,-1,65,0.000000,"\text{Not used}","int((x*(c*x^2)^(1/2))/(a + b*x)^2,x)","\int \frac{x\,\sqrt{c\,x^2}}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((x*(c*x^2)^(1/2))/(a + b*x)^2, x)","F"
896,0,-1,47,0.000000,"\text{Not used}","int((c*x^2)^(1/2)/(a + b*x)^2,x)","\int \frac{\sqrt{c\,x^2}}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(1/2)/(a + b*x)^2, x)","F"
897,1,22,24,0.164799,"\text{Not used}","int((c*x^2)^(1/2)/(x*(a + b*x)^2),x)","-\frac{\sqrt{c\,x^2}}{b\,x\,\left(a+b\,x\right)}","Not used",1,"-(c*x^2)^(1/2)/(b*x*(a + b*x))","B"
898,0,-1,65,0.000000,"\text{Not used}","int((c*x^2)^(1/2)/(x^2*(a + b*x)^2),x)","\int \frac{\sqrt{c\,x^2}}{x^2\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(1/2)/(x^2*(a + b*x)^2), x)","F"
899,0,-1,87,0.000000,"\text{Not used}","int((c*x^2)^(1/2)/(x^3*(a + b*x)^2),x)","\int \frac{\sqrt{c\,x^2}}{x^3\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(1/2)/(x^3*(a + b*x)^2), x)","F"
900,0,-1,112,0.000000,"\text{Not used}","int((c*x^2)^(1/2)/(x^4*(a + b*x)^2),x)","\int \frac{\sqrt{c\,x^2}}{x^4\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(1/2)/(x^4*(a + b*x)^2), x)","F"
901,0,-1,111,0.000000,"\text{Not used}","int((x*(c*x^2)^(3/2))/(a + b*x)^2,x)","\int \frac{x\,{\left(c\,x^2\right)}^{3/2}}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((x*(c*x^2)^(3/2))/(a + b*x)^2, x)","F"
902,0,-1,89,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(a + b*x)^2,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(3/2)/(a + b*x)^2, x)","F"
903,0,-1,68,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x*(a + b*x)^2),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x*(a + b*x)^2), x)","F"
904,0,-1,49,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^2*(a + b*x)^2),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^2\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^2*(a + b*x)^2), x)","F"
905,1,24,25,0.148318,"\text{Not used}","int((c*x^2)^(3/2)/(x^3*(a + b*x)^2),x)","-\frac{c^{3/2}\,\sqrt{x^2}}{b^2\,x^2+a\,b\,x}","Not used",1,"-(c^(3/2)*(x^2)^(1/2))/(b^2*x^2 + a*b*x)","B"
906,0,-1,68,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^4*(a + b*x)^2),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^4\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^4*(a + b*x)^2), x)","F"
907,0,-1,91,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^5*(a + b*x)^2),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^5\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^5*(a + b*x)^2), x)","F"
908,0,-1,117,0.000000,"\text{Not used}","int((c*x^2)^(3/2)/(x^6*(a + b*x)^2),x)","\int \frac{{\left(c\,x^2\right)}^{3/2}}{x^6\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*x^2)^(3/2)/(x^6*(a + b*x)^2), x)","F"
909,0,-1,107,0.000000,"\text{Not used}","int(x^5/((c*x^2)^(1/2)*(a + b*x)^2),x)","\int \frac{x^5}{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^5/((c*x^2)^(1/2)*(a + b*x)^2), x)","F"
910,0,-1,86,0.000000,"\text{Not used}","int(x^4/((c*x^2)^(1/2)*(a + b*x)^2),x)","\int \frac{x^4}{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^4/((c*x^2)^(1/2)*(a + b*x)^2), x)","F"
911,0,-1,64,0.000000,"\text{Not used}","int(x^3/((c*x^2)^(1/2)*(a + b*x)^2),x)","\int \frac{x^3}{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^3/((c*x^2)^(1/2)*(a + b*x)^2), x)","F"
912,0,-1,43,0.000000,"\text{Not used}","int(x^2/((c*x^2)^(1/2)*(a + b*x)^2),x)","\int \frac{x^2}{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^2/((c*x^2)^(1/2)*(a + b*x)^2), x)","F"
913,1,25,22,0.156002,"\text{Not used}","int(x/((c*x^2)^(1/2)*(a + b*x)^2),x)","-\frac{\sqrt{c\,x^2}}{b\,c\,x\,\left(a+b\,x\right)}","Not used",1,"-(c*x^2)^(1/2)/(b*c*x*(a + b*x))","B"
914,0,-1,59,0.000000,"\text{Not used}","int(1/((c*x^2)^(1/2)*(a + b*x)^2),x)","\int \frac{1}{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(1/((c*x^2)^(1/2)*(a + b*x)^2), x)","F"
915,0,-1,78,0.000000,"\text{Not used}","int(1/(x*(c*x^2)^(1/2)*(a + b*x)^2),x)","\int \frac{1}{x\,\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(1/(x*(c*x^2)^(1/2)*(a + b*x)^2), x)","F"
916,0,-1,103,0.000000,"\text{Not used}","int(1/(x^2*(c*x^2)^(1/2)*(a + b*x)^2),x)","\int \frac{1}{x^2\,\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(1/(x^2*(c*x^2)^(1/2)*(a + b*x)^2), x)","F"
917,0,-1,73,0.000000,"\text{Not used}","int(x^5/((c*x^2)^(3/2)*(a + b*x)^2),x)","\int \frac{x^5}{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^5/((c*x^2)^(3/2)*(a + b*x)^2), x)","F"
918,0,-1,49,0.000000,"\text{Not used}","int(x^4/((c*x^2)^(3/2)*(a + b*x)^2),x)","\int \frac{x^4}{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^4/((c*x^2)^(3/2)*(a + b*x)^2), x)","F"
919,1,25,25,0.166684,"\text{Not used}","int(x^3/((c*x^2)^(3/2)*(a + b*x)^2),x)","-\frac{\sqrt{c\,x^2}}{b\,c^2\,x\,\left(a+b\,x\right)}","Not used",1,"-(c*x^2)^(1/2)/(b*c^2*x*(a + b*x))","B"
920,0,-1,68,0.000000,"\text{Not used}","int(x^2/((c*x^2)^(3/2)*(a + b*x)^2),x)","\int \frac{x^2}{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^2/((c*x^2)^(3/2)*(a + b*x)^2), x)","F"
921,0,-1,90,0.000000,"\text{Not used}","int(x/((c*x^2)^(3/2)*(a + b*x)^2),x)","\int \frac{x}{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x/((c*x^2)^(3/2)*(a + b*x)^2), x)","F"
922,0,-1,118,0.000000,"\text{Not used}","int(1/((c*x^2)^(3/2)*(a + b*x)^2),x)","\int \frac{1}{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(1/((c*x^2)^(3/2)*(a + b*x)^2), x)","F"
923,1,214,131,0.348471,"\text{Not used}","int(x^2*(c*x^2)^(1/2)*(a + b*x)^n,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^4\,\sqrt{c\,x^2}\,\left(n^3+6\,n^2+11\,n+6\right)}{n^4+10\,n^3+35\,n^2+50\,n+24}-\frac{6\,a^4\,\sqrt{c\,x^2}}{b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,a^3\,n\,x\,\sqrt{c\,x^2}}{b^3\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{a\,n\,x^3\,\sqrt{c\,x^2}\,\left(n^2+3\,n+2\right)}{b\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{3\,a^2\,n\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{b^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((x^4*(c*x^2)^(1/2)*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) - (6*a^4*(c*x^2)^(1/2))/(b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*a^3*n*x*(c*x^2)^(1/2))/(b^3*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (a*n*x^3*(c*x^2)^(1/2)*(3*n + n^2 + 2))/(b*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (3*a^2*n*x^2*(c*x^2)^(1/2)*(n + 1))/(b^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))))/x","B"
924,1,142,96,0.252463,"\text{Not used}","int(x*(c*x^2)^(1/2)*(a + b*x)^n,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{2\,a^3\,\sqrt{c\,x^2}}{b^3\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{x^3\,\sqrt{c\,x^2}\,\left(n^2+3\,n+2\right)}{n^3+6\,n^2+11\,n+6}-\frac{2\,a^2\,n\,x\,\sqrt{c\,x^2}}{b^2\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{a\,n\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{b\,\left(n^3+6\,n^2+11\,n+6\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((2*a^3*(c*x^2)^(1/2))/(b^3*(11*n + 6*n^2 + n^3 + 6)) + (x^3*(c*x^2)^(1/2)*(3*n + n^2 + 2))/(11*n + 6*n^2 + n^3 + 6) - (2*a^2*n*x*(c*x^2)^(1/2))/(b^2*(11*n + 6*n^2 + n^3 + 6)) + (a*n*x^2*(c*x^2)^(1/2)*(n + 1))/(b*(11*n + 6*n^2 + n^3 + 6))))/x","B"
925,1,85,63,0.222153,"\text{Not used}","int((c*x^2)^(1/2)*(a + b*x)^n,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{n^2+3\,n+2}-\frac{a^2\,\sqrt{c\,x^2}}{b^2\,\left(n^2+3\,n+2\right)}+\frac{a\,n\,x\,\sqrt{c\,x^2}}{b\,\left(n^2+3\,n+2\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((x^2*(c*x^2)^(1/2)*(n + 1))/(3*n + n^2 + 2) - (a^2*(c*x^2)^(1/2))/(b^2*(3*n + n^2 + 2)) + (a*n*x*(c*x^2)^(1/2))/(b*(3*n + n^2 + 2))))/x","B"
926,1,31,30,0.228450,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x)^n)/x,x)","\frac{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^n\,\left(a+b\,x\right)}{b\,x\,\left(n+1\right)}","Not used",1,"((c*x^2)^(1/2)*(a + b*x)^n*(a + b*x))/(b*x*(n + 1))","B"
927,0,-1,47,0.000000,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x)^n)/x^2,x)","\int \frac{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^n}{x^2} \,d x","Not used",1,"int(((c*x^2)^(1/2)*(a + b*x)^n)/x^2, x)","F"
928,0,-1,47,0.000000,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x)^n)/x^3,x)","\int \frac{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^n}{x^3} \,d x","Not used",1,"int(((c*x^2)^(1/2)*(a + b*x)^n)/x^3, x)","F"
929,0,-1,50,0.000000,"\text{Not used}","int(((c*x^2)^(1/2)*(a + b*x)^n)/x^4,x)","\int \frac{\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^n}{x^4} \,d x","Not used",1,"int(((c*x^2)^(1/2)*(a + b*x)^n)/x^4, x)","F"
930,1,307,169,0.413685,"\text{Not used}","int(x*(c*x^2)^(3/2)*(a + b*x)^n,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{24\,a^5\,c\,\sqrt{c\,x^2}}{b^5\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{c\,x^5\,\sqrt{c\,x^2}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}{n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120}-\frac{24\,a^4\,c\,n\,x\,\sqrt{c\,x^2}}{b^4\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{a\,c\,n\,x^4\,\sqrt{c\,x^2}\,\left(n^3+6\,n^2+11\,n+6\right)}{b\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{12\,a^3\,c\,n\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{b^3\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}-\frac{4\,a^2\,c\,n\,x^3\,\sqrt{c\,x^2}\,\left(n^2+3\,n+2\right)}{b^2\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((24*a^5*c*(c*x^2)^(1/2))/(b^5*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (c*x^5*(c*x^2)^(1/2)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))/(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120) - (24*a^4*c*n*x*(c*x^2)^(1/2))/(b^4*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (a*c*n*x^4*(c*x^2)^(1/2)*(11*n + 6*n^2 + n^3 + 6))/(b*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (12*a^3*c*n*x^2*(c*x^2)^(1/2)*(n + 1))/(b^3*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) - (4*a^2*c*n*x^3*(c*x^2)^(1/2)*(3*n + n^2 + 2))/(b^2*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120))))/x","B"
931,1,219,135,0.320296,"\text{Not used}","int((c*x^2)^(3/2)*(a + b*x)^n,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{c\,x^4\,\sqrt{c\,x^2}\,\left(n^3+6\,n^2+11\,n+6\right)}{n^4+10\,n^3+35\,n^2+50\,n+24}-\frac{6\,a^4\,c\,\sqrt{c\,x^2}}{b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,a^3\,c\,n\,x\,\sqrt{c\,x^2}}{b^3\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{3\,a^2\,c\,n\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{b^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{a\,c\,n\,x^3\,\sqrt{c\,x^2}\,\left(n^2+3\,n+2\right)}{b\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((c*x^4*(c*x^2)^(1/2)*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) - (6*a^4*c*(c*x^2)^(1/2))/(b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*a^3*c*n*x*(c*x^2)^(1/2))/(b^3*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (3*a^2*c*n*x^2*(c*x^2)^(1/2)*(n + 1))/(b^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (a*c*n*x^3*(c*x^2)^(1/2)*(3*n + n^2 + 2))/(b*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))))/x","B"
932,1,146,99,0.261327,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^n)/x,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{c\,x^3\,\sqrt{c\,x^2}\,\left(n^2+3\,n+2\right)}{n^3+6\,n^2+11\,n+6}+\frac{2\,a^3\,c\,\sqrt{c\,x^2}}{b^3\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{2\,a^2\,c\,n\,x\,\sqrt{c\,x^2}}{b^2\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{a\,c\,n\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{b\,\left(n^3+6\,n^2+11\,n+6\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((c*x^3*(c*x^2)^(1/2)*(3*n + n^2 + 2))/(11*n + 6*n^2 + n^3 + 6) + (2*a^3*c*(c*x^2)^(1/2))/(b^3*(11*n + 6*n^2 + n^3 + 6)) - (2*a^2*c*n*x*(c*x^2)^(1/2))/(b^2*(11*n + 6*n^2 + n^3 + 6)) + (a*c*n*x^2*(c*x^2)^(1/2)*(n + 1))/(b*(11*n + 6*n^2 + n^3 + 6))))/x","B"
933,1,88,65,0.230748,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^n)/x^2,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{c\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{n^2+3\,n+2}-\frac{a^2\,c\,\sqrt{c\,x^2}}{b^2\,\left(n^2+3\,n+2\right)}+\frac{a\,c\,n\,x\,\sqrt{c\,x^2}}{b\,\left(n^2+3\,n+2\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((c*x^2*(c*x^2)^(1/2)*(n + 1))/(3*n + n^2 + 2) - (a^2*c*(c*x^2)^(1/2))/(b^2*(3*n + n^2 + 2)) + (a*c*n*x*(c*x^2)^(1/2))/(b*(3*n + n^2 + 2))))/x","B"
934,1,45,31,0.229399,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^n)/x^3,x)","\frac{\left(\frac{c\,x\,\sqrt{c\,x^2}}{n+1}+\frac{a\,c\,\sqrt{c\,x^2}}{b\,\left(n+1\right)}\right)\,{\left(a+b\,x\right)}^n}{x}","Not used",1,"(((c*x*(c*x^2)^(1/2))/(n + 1) + (a*c*(c*x^2)^(1/2))/(b*(n + 1)))*(a + b*x)^n)/x","B"
935,0,-1,48,0.000000,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^n)/x^4,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^n}{x^4} \,d x","Not used",1,"int(((c*x^2)^(3/2)*(a + b*x)^n)/x^4, x)","F"
936,0,-1,48,0.000000,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^n)/x^5,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^n}{x^5} \,d x","Not used",1,"int(((c*x^2)^(3/2)*(a + b*x)^n)/x^5, x)","F"
937,0,-1,51,0.000000,"\text{Not used}","int(((c*x^2)^(3/2)*(a + b*x)^n)/x^6,x)","\int \frac{{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^n}{x^6} \,d x","Not used",1,"int(((c*x^2)^(3/2)*(a + b*x)^n)/x^6, x)","F"
938,1,424,217,0.495894,"\text{Not used}","int((c*x^2)^(5/2)*(a + b*x)^n,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{c^2\,x^6\,\sqrt{c\,x^2}\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}{n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720}-\frac{120\,a^6\,c^2\,\sqrt{c\,x^2}}{b^6\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}+\frac{120\,a^5\,c^2\,n\,x\,\sqrt{c\,x^2}}{b^5\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}-\frac{5\,a^2\,c^2\,n\,x^4\,\sqrt{c\,x^2}\,\left(n^3+6\,n^2+11\,n+6\right)}{b^2\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}-\frac{60\,a^4\,c^2\,n\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{b^4\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}+\frac{a\,c^2\,n\,x^5\,\sqrt{c\,x^2}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}{b\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}+\frac{20\,a^3\,c^2\,n\,x^3\,\sqrt{c\,x^2}\,\left(n^2+3\,n+2\right)}{b^3\,\left(n^6+21\,n^5+175\,n^4+735\,n^3+1624\,n^2+1764\,n+720\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((c^2*x^6*(c*x^2)^(1/2)*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120))/(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720) - (120*a^6*c^2*(c*x^2)^(1/2))/(b^6*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720)) + (120*a^5*c^2*n*x*(c*x^2)^(1/2))/(b^5*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720)) - (5*a^2*c^2*n*x^4*(c*x^2)^(1/2)*(11*n + 6*n^2 + n^3 + 6))/(b^2*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720)) - (60*a^4*c^2*n*x^2*(c*x^2)^(1/2)*(n + 1))/(b^4*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720)) + (a*c^2*n*x^5*(c*x^2)^(1/2)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))/(b*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720)) + (20*a^3*c^2*n*x^3*(c*x^2)^(1/2)*(3*n + n^2 + 2))/(b^3*(1764*n + 1624*n^2 + 735*n^3 + 175*n^4 + 21*n^5 + n^6 + 720))))/x","B"
939,1,319,179,0.379092,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^n)/x,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{c^2\,x^5\,\sqrt{c\,x^2}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}{n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120}+\frac{24\,a^5\,c^2\,\sqrt{c\,x^2}}{b^5\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}-\frac{24\,a^4\,c^2\,n\,x\,\sqrt{c\,x^2}}{b^4\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{a\,c^2\,n\,x^4\,\sqrt{c\,x^2}\,\left(n^3+6\,n^2+11\,n+6\right)}{b\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{12\,a^3\,c^2\,n\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{b^3\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}-\frac{4\,a^2\,c^2\,n\,x^3\,\sqrt{c\,x^2}\,\left(n^2+3\,n+2\right)}{b^2\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((c^2*x^5*(c*x^2)^(1/2)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))/(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120) + (24*a^5*c^2*(c*x^2)^(1/2))/(b^5*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) - (24*a^4*c^2*n*x*(c*x^2)^(1/2))/(b^4*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (a*c^2*n*x^4*(c*x^2)^(1/2)*(11*n + 6*n^2 + n^3 + 6))/(b*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (12*a^3*c^2*n*x^2*(c*x^2)^(1/2)*(n + 1))/(b^3*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) - (4*a^2*c^2*n*x^3*(c*x^2)^(1/2)*(3*n + n^2 + 2))/(b^2*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120))))/x","B"
940,1,229,143,0.317174,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^n)/x^2,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{c^2\,x^4\,\sqrt{c\,x^2}\,\left(n^3+6\,n^2+11\,n+6\right)}{n^4+10\,n^3+35\,n^2+50\,n+24}-\frac{6\,a^4\,c^2\,\sqrt{c\,x^2}}{b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,a^3\,c^2\,n\,x\,\sqrt{c\,x^2}}{b^3\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{a\,c^2\,n\,x^3\,\sqrt{c\,x^2}\,\left(n^2+3\,n+2\right)}{b\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{3\,a^2\,c^2\,n\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{b^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((c^2*x^4*(c*x^2)^(1/2)*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) - (6*a^4*c^2*(c*x^2)^(1/2))/(b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*a^3*c^2*n*x*(c*x^2)^(1/2))/(b^3*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (a*c^2*n*x^3*(c*x^2)^(1/2)*(3*n + n^2 + 2))/(b*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (3*a^2*c^2*n*x^2*(c*x^2)^(1/2)*(n + 1))/(b^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))))/x","B"
941,1,154,105,0.265220,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^n)/x^3,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{2\,a^3\,c^2\,\sqrt{c\,x^2}}{b^3\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{c^2\,x^3\,\sqrt{c\,x^2}\,\left(n^2+3\,n+2\right)}{n^3+6\,n^2+11\,n+6}-\frac{2\,a^2\,c^2\,n\,x\,\sqrt{c\,x^2}}{b^2\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{a\,c^2\,n\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{b\,\left(n^3+6\,n^2+11\,n+6\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((2*a^3*c^2*(c*x^2)^(1/2))/(b^3*(11*n + 6*n^2 + n^3 + 6)) + (c^2*x^3*(c*x^2)^(1/2)*(3*n + n^2 + 2))/(11*n + 6*n^2 + n^3 + 6) - (2*a^2*c^2*n*x*(c*x^2)^(1/2))/(b^2*(11*n + 6*n^2 + n^3 + 6)) + (a*c^2*n*x^2*(c*x^2)^(1/2)*(n + 1))/(b*(11*n + 6*n^2 + n^3 + 6))))/x","B"
942,1,94,69,0.238675,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^n)/x^4,x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{c^2\,x^2\,\sqrt{c\,x^2}\,\left(n+1\right)}{n^2+3\,n+2}-\frac{a^2\,c^2\,\sqrt{c\,x^2}}{b^2\,\left(n^2+3\,n+2\right)}+\frac{a\,c^2\,n\,x\,\sqrt{c\,x^2}}{b\,\left(n^2+3\,n+2\right)}\right)}{x}","Not used",1,"((a + b*x)^n*((c^2*x^2*(c*x^2)^(1/2)*(n + 1))/(3*n + n^2 + 2) - (a^2*c^2*(c*x^2)^(1/2))/(b^2*(3*n + n^2 + 2)) + (a*c^2*n*x*(c*x^2)^(1/2))/(b*(3*n + n^2 + 2))))/x","B"
943,1,49,33,0.230868,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^n)/x^5,x)","\frac{\left(\frac{c^2\,x\,\sqrt{c\,x^2}}{n+1}+\frac{a\,c^2\,\sqrt{c\,x^2}}{b\,\left(n+1\right)}\right)\,{\left(a+b\,x\right)}^n}{x}","Not used",1,"(((c^2*x*(c*x^2)^(1/2))/(n + 1) + (a*c^2*(c*x^2)^(1/2))/(b*(n + 1)))*(a + b*x)^n)/x","B"
944,0,-1,50,0.000000,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^n)/x^6,x)","\int \frac{{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^n}{x^6} \,d x","Not used",1,"int(((c*x^2)^(5/2)*(a + b*x)^n)/x^6, x)","F"
945,0,-1,50,0.000000,"\text{Not used}","int(((c*x^2)^(5/2)*(a + b*x)^n)/x^7,x)","\int \frac{{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^n}{x^7} \,d x","Not used",1,"int(((c*x^2)^(5/2)*(a + b*x)^n)/x^7, x)","F"
946,1,186,123,0.368818,"\text{Not used}","int((x^4*(a + b*x)^n)/(c*x^2)^(1/2),x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^5\,\left(n^3+6\,n^2+11\,n+6\right)}{n^4+10\,n^3+35\,n^2+50\,n+24}-\frac{6\,a^4\,x}{b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,a^3\,n\,x^2}{b^3\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{a\,n\,x^4\,\left(n^2+3\,n+2\right)}{b\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{3\,a^2\,n\,x^3\,\left(n+1\right)}{b^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)}{\sqrt{c\,x^2}}","Not used",1,"((a + b*x)^n*((x^5*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) - (6*a^4*x)/(b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*a^3*n*x^2)/(b^3*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (a*n*x^4*(3*n + n^2 + 2))/(b*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (3*a^2*n*x^3*(n + 1))/(b^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))))/(c*x^2)^(1/2)","B"
947,1,121,90,0.294778,"\text{Not used}","int((x^3*(a + b*x)^n)/(c*x^2)^(1/2),x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^4\,\left(n^2+3\,n+2\right)}{n^3+6\,n^2+11\,n+6}+\frac{2\,a^3\,x}{b^3\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{2\,a^2\,n\,x^2}{b^2\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{a\,n\,x^3\,\left(n+1\right)}{b\,\left(n^3+6\,n^2+11\,n+6\right)}\right)}{\sqrt{c\,x^2}}","Not used",1,"((a + b*x)^n*((x^4*(3*n + n^2 + 2))/(11*n + 6*n^2 + n^3 + 6) + (2*a^3*x)/(b^3*(11*n + 6*n^2 + n^3 + 6)) - (2*a^2*n*x^2)/(b^2*(11*n + 6*n^2 + n^3 + 6)) + (a*n*x^3*(n + 1))/(b*(11*n + 6*n^2 + n^3 + 6))))/(c*x^2)^(1/2)","B"
948,1,71,59,0.277225,"\text{Not used}","int((x^2*(a + b*x)^n)/(c*x^2)^(1/2),x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^3\,\left(n+1\right)}{n^2+3\,n+2}-\frac{a^2\,x}{b^2\,\left(n^2+3\,n+2\right)}+\frac{a\,n\,x^2}{b\,\left(n^2+3\,n+2\right)}\right)}{\sqrt{c\,x^2}}","Not used",1,"((a + b*x)^n*((x^3*(n + 1))/(3*n + n^2 + 2) - (a^2*x)/(b^2*(3*n + n^2 + 2)) + (a*n*x^2)/(b*(3*n + n^2 + 2))))/(c*x^2)^(1/2)","B"
949,1,36,28,0.219779,"\text{Not used}","int((x*(a + b*x)^n)/(c*x^2)^(1/2),x)","\frac{\left(\frac{x^2}{n+1}+\frac{a\,x}{b\,\left(n+1\right)}\right)\,{\left(a+b\,x\right)}^n}{\sqrt{c\,x^2}}","Not used",1,"((x^2/(n + 1) + (a*x)/(b*(n + 1)))*(a + b*x)^n)/(c*x^2)^(1/2)","B"
950,0,-1,45,0.000000,"\text{Not used}","int((a + b*x)^n/(c*x^2)^(1/2),x)","\int \frac{{\left(a+b\,x\right)}^n}{\sqrt{c\,x^2}} \,d x","Not used",1,"int((a + b*x)^n/(c*x^2)^(1/2), x)","F"
951,0,-1,45,0.000000,"\text{Not used}","int((a + b*x)^n/(x*(c*x^2)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^n}{x\,\sqrt{c\,x^2}} \,d x","Not used",1,"int((a + b*x)^n/(x*(c*x^2)^(1/2)), x)","F"
952,0,-1,48,0.000000,"\text{Not used}","int((a + b*x)^n/(x^2*(c*x^2)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^n}{x^2\,\sqrt{c\,x^2}} \,d x","Not used",1,"int((a + b*x)^n/(x^2*(c*x^2)^(1/2)), x)","F"
953,1,201,135,0.404258,"\text{Not used}","int((x^6*(a + b*x)^n)/(c*x^2)^(3/2),x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^5\,\left(n^3+6\,n^2+11\,n+6\right)}{c\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{6\,a^4\,x}{b^4\,c\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,a^3\,n\,x^2}{b^3\,c\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{a\,n\,x^4\,\left(n^2+3\,n+2\right)}{b\,c\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{3\,a^2\,n\,x^3\,\left(n+1\right)}{b^2\,c\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)}{\sqrt{c\,x^2}}","Not used",1,"((a + b*x)^n*((x^5*(11*n + 6*n^2 + n^3 + 6))/(c*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (6*a^4*x)/(b^4*c*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*a^3*n*x^2)/(b^3*c*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (a*n*x^4*(3*n + n^2 + 2))/(b*c*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (3*a^2*n*x^3*(n + 1))/(b^2*c*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))))/(c*x^2)^(1/2)","B"
954,1,133,99,0.313355,"\text{Not used}","int((x^5*(a + b*x)^n)/(c*x^2)^(3/2),x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^4\,\left(n^2+3\,n+2\right)}{c\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{2\,a^3\,x}{b^3\,c\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{2\,a^2\,n\,x^2}{b^2\,c\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{a\,n\,x^3\,\left(n+1\right)}{b\,c\,\left(n^3+6\,n^2+11\,n+6\right)}\right)}{\sqrt{c\,x^2}}","Not used",1,"((a + b*x)^n*((x^4*(3*n + n^2 + 2))/(c*(11*n + 6*n^2 + n^3 + 6)) + (2*a^3*x)/(b^3*c*(11*n + 6*n^2 + n^3 + 6)) - (2*a^2*n*x^2)/(b^2*c*(11*n + 6*n^2 + n^3 + 6)) + (a*n*x^3*(n + 1))/(b*c*(11*n + 6*n^2 + n^3 + 6))))/(c*x^2)^(1/2)","B"
955,1,80,65,0.289258,"\text{Not used}","int((x^4*(a + b*x)^n)/(c*x^2)^(3/2),x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^3\,\left(n+1\right)}{c\,\left(n^2+3\,n+2\right)}-\frac{a^2\,x}{b^2\,c\,\left(n^2+3\,n+2\right)}+\frac{a\,n\,x^2}{b\,c\,\left(n^2+3\,n+2\right)}\right)}{\sqrt{c\,x^2}}","Not used",1,"((a + b*x)^n*((x^3*(n + 1))/(c*(3*n + n^2 + 2)) - (a^2*x)/(b^2*c*(3*n + n^2 + 2)) + (a*n*x^2)/(b*c*(3*n + n^2 + 2))))/(c*x^2)^(1/2)","B"
956,1,42,31,0.229192,"\text{Not used}","int((x^3*(a + b*x)^n)/(c*x^2)^(3/2),x)","\frac{\left(\frac{x^2}{c\,\left(n+1\right)}+\frac{a\,x}{b\,c\,\left(n+1\right)}\right)\,{\left(a+b\,x\right)}^n}{\sqrt{c\,x^2}}","Not used",1,"((x^2/(c*(n + 1)) + (a*x)/(b*c*(n + 1)))*(a + b*x)^n)/(c*x^2)^(1/2)","B"
957,0,-1,48,0.000000,"\text{Not used}","int((x^2*(a + b*x)^n)/(c*x^2)^(3/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^n}{{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^n)/(c*x^2)^(3/2), x)","F"
958,0,-1,48,0.000000,"\text{Not used}","int((x*(a + b*x)^n)/(c*x^2)^(3/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^n}{{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*(a + b*x)^n)/(c*x^2)^(3/2), x)","F"
959,0,-1,51,0.000000,"\text{Not used}","int((a + b*x)^n/(c*x^2)^(3/2),x)","\int \frac{{\left(a+b\,x\right)}^n}{{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^n/(c*x^2)^(3/2), x)","F"
960,0,-1,50,0.000000,"\text{Not used}","int((a + b*x)^n/(x*(c*x^2)^(3/2)),x)","\int \frac{{\left(a+b\,x\right)}^n}{x\,{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^n/(x*(c*x^2)^(3/2)), x)","F"
961,1,201,135,0.409706,"\text{Not used}","int((x^8*(a + b*x)^n)/(c*x^2)^(5/2),x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^5\,\left(n^3+6\,n^2+11\,n+6\right)}{c^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{6\,a^4\,x}{b^4\,c^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,a^3\,n\,x^2}{b^3\,c^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{a\,n\,x^4\,\left(n^2+3\,n+2\right)}{b\,c^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{3\,a^2\,n\,x^3\,\left(n+1\right)}{b^2\,c^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)}{\sqrt{c\,x^2}}","Not used",1,"((a + b*x)^n*((x^5*(11*n + 6*n^2 + n^3 + 6))/(c^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (6*a^4*x)/(b^4*c^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*a^3*n*x^2)/(b^3*c^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (a*n*x^4*(3*n + n^2 + 2))/(b*c^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (3*a^2*n*x^3*(n + 1))/(b^2*c^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))))/(c*x^2)^(1/2)","B"
962,1,133,99,0.354612,"\text{Not used}","int((x^7*(a + b*x)^n)/(c*x^2)^(5/2),x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^4\,\left(n^2+3\,n+2\right)}{c^2\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{2\,a^3\,x}{b^3\,c^2\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{2\,a^2\,n\,x^2}{b^2\,c^2\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{a\,n\,x^3\,\left(n+1\right)}{b\,c^2\,\left(n^3+6\,n^2+11\,n+6\right)}\right)}{\sqrt{c\,x^2}}","Not used",1,"((a + b*x)^n*((x^4*(3*n + n^2 + 2))/(c^2*(11*n + 6*n^2 + n^3 + 6)) + (2*a^3*x)/(b^3*c^2*(11*n + 6*n^2 + n^3 + 6)) - (2*a^2*n*x^2)/(b^2*c^2*(11*n + 6*n^2 + n^3 + 6)) + (a*n*x^3*(n + 1))/(b*c^2*(11*n + 6*n^2 + n^3 + 6))))/(c*x^2)^(1/2)","B"
963,1,80,65,0.285277,"\text{Not used}","int((x^6*(a + b*x)^n)/(c*x^2)^(5/2),x)","\frac{{\left(a+b\,x\right)}^n\,\left(\frac{x^3\,\left(n+1\right)}{c^2\,\left(n^2+3\,n+2\right)}-\frac{a^2\,x}{b^2\,c^2\,\left(n^2+3\,n+2\right)}+\frac{a\,n\,x^2}{b\,c^2\,\left(n^2+3\,n+2\right)}\right)}{\sqrt{c\,x^2}}","Not used",1,"((a + b*x)^n*((x^3*(n + 1))/(c^2*(3*n + n^2 + 2)) - (a^2*x)/(b^2*c^2*(3*n + n^2 + 2)) + (a*n*x^2)/(b*c^2*(3*n + n^2 + 2))))/(c*x^2)^(1/2)","B"
964,1,42,31,0.230334,"\text{Not used}","int((x^5*(a + b*x)^n)/(c*x^2)^(5/2),x)","\frac{\left(\frac{x^2}{c^2\,\left(n+1\right)}+\frac{a\,x}{b\,c^2\,\left(n+1\right)}\right)\,{\left(a+b\,x\right)}^n}{\sqrt{c\,x^2}}","Not used",1,"((x^2/(c^2*(n + 1)) + (a*x)/(b*c^2*(n + 1)))*(a + b*x)^n)/(c*x^2)^(1/2)","B"
965,0,-1,48,0.000000,"\text{Not used}","int((x^4*(a + b*x)^n)/(c*x^2)^(5/2),x)","\int \frac{x^4\,{\left(a+b\,x\right)}^n}{{\left(c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^4*(a + b*x)^n)/(c*x^2)^(5/2), x)","F"
966,0,-1,48,0.000000,"\text{Not used}","int((x^3*(a + b*x)^n)/(c*x^2)^(5/2),x)","\int \frac{x^3\,{\left(a+b\,x\right)}^n}{{\left(c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(a + b*x)^n)/(c*x^2)^(5/2), x)","F"
967,0,-1,51,0.000000,"\text{Not used}","int((x^2*(a + b*x)^n)/(c*x^2)^(5/2),x)","\int \frac{x^2\,{\left(a+b\,x\right)}^n}{{\left(c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^2*(a + b*x)^n)/(c*x^2)^(5/2), x)","F"
968,0,-1,50,0.000000,"\text{Not used}","int((x*(a + b*x)^n)/(c*x^2)^(5/2),x)","\int \frac{x\,{\left(a+b\,x\right)}^n}{{\left(c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x*(a + b*x)^n)/(c*x^2)^(5/2), x)","F"
969,1,44,65,0.266475,"\text{Not used}","int((d*x)^m*(c*x^2)^(5/2)*(a + b*x),x)","\frac{c^2\,x^5\,{\left(d\,x\right)}^m\,\sqrt{c\,x^2}\,\left(7\,a+a\,m+6\,b\,x+b\,m\,x\right)}{m^2+13\,m+42}","Not used",1,"(c^2*x^5*(d*x)^m*(c*x^2)^(1/2)*(7*a + a*m + 6*b*x + b*m*x))/(13*m + m^2 + 42)","B"
970,1,42,61,0.236852,"\text{Not used}","int((d*x)^m*(c*x^2)^(3/2)*(a + b*x),x)","\frac{c\,x^3\,{\left(d\,x\right)}^m\,\sqrt{c\,x^2}\,\left(5\,a+a\,m+4\,b\,x+b\,m\,x\right)}{m^2+9\,m+20}","Not used",1,"(c*x^3*(d*x)^m*(c*x^2)^(1/2)*(5*a + a*m + 4*b*x + b*m*x))/(9*m + m^2 + 20)","B"
971,1,39,59,0.211829,"\text{Not used}","int((d*x)^m*(c*x^2)^(1/2)*(a + b*x),x)","\frac{x\,{\left(d\,x\right)}^m\,\sqrt{c\,x^2}\,\left(3\,a+a\,m+2\,b\,x+b\,m\,x\right)}{m^2+5\,m+6}","Not used",1,"(x*(d*x)^m*(c*x^2)^(1/2)*(3*a + a*m + 2*b*x + b*m*x))/(5*m + m^2 + 6)","B"
972,1,30,48,0.211230,"\text{Not used}","int(((d*x)^m*(a + b*x))/(c*x^2)^(1/2),x)","\frac{\left(\frac{a\,x}{m}+\frac{b\,x^2}{m+1}\right)\,{\left(d\,x\right)}^m}{\sqrt{c\,x^2}}","Not used",1,"(((a*x)/m + (b*x^2)/(m + 1))*(d*x)^m)/(c*x^2)^(1/2)","B"
973,1,48,65,0.258561,"\text{Not used}","int(((d*x)^m*(a + b*x))/(c*x^2)^(3/2),x)","\frac{b\,{\left(d\,x\right)}^m}{c\,\sqrt{c\,x^2}\,\left(m-1\right)}+\frac{a\,{\left(d\,x\right)}^m}{c\,x\,\sqrt{c\,x^2}\,\left(m-2\right)}","Not used",1,"(b*(d*x)^m)/(c*(c*x^2)^(1/2)*(m - 1)) + (a*(d*x)^m)/(c*x*(c*x^2)^(1/2)*(m - 2))","B"
974,1,47,67,0.275039,"\text{Not used}","int(((d*x)^m*(a + b*x))/(c*x^2)^(5/2),x)","-\frac{{\left(d\,x\right)}^m\,\left(3\,a-a\,m+4\,b\,x-b\,m\,x\right)}{c^2\,x^3\,\sqrt{c\,x^2}\,\left(m^2-7\,m+12\right)}","Not used",1,"-((d*x)^m*(3*a - a*m + 4*b*x - b*m*x))/(c^2*x^3*(c*x^2)^(1/2)*(m^2 - 7*m + 12))","B"
975,1,127,103,0.312272,"\text{Not used}","int((d*x)^m*(c*x^2)^(5/2)*(a + b*x)^2,x)","{\left(d\,x\right)}^m\,\left(\frac{a^2\,c^2\,x^5\,\sqrt{c\,x^2}\,\left(m^2+15\,m+56\right)}{m^3+21\,m^2+146\,m+336}+\frac{b^2\,c^2\,x^7\,\sqrt{c\,x^2}\,\left(m^2+13\,m+42\right)}{m^3+21\,m^2+146\,m+336}+\frac{2\,a\,b\,c^2\,x^6\,\sqrt{c\,x^2}\,\left(m^2+14\,m+48\right)}{m^3+21\,m^2+146\,m+336}\right)","Not used",1,"(d*x)^m*((a^2*c^2*x^5*(c*x^2)^(1/2)*(15*m + m^2 + 56))/(146*m + 21*m^2 + m^3 + 336) + (b^2*c^2*x^7*(c*x^2)^(1/2)*(13*m + m^2 + 42))/(146*m + 21*m^2 + m^3 + 336) + (2*a*b*c^2*x^6*(c*x^2)^(1/2)*(14*m + m^2 + 48))/(146*m + 21*m^2 + m^3 + 336))","B"
976,1,121,97,0.279020,"\text{Not used}","int((d*x)^m*(c*x^2)^(3/2)*(a + b*x)^2,x)","{\left(d\,x\right)}^m\,\left(\frac{a^2\,c\,x^3\,\sqrt{c\,x^2}\,\left(m^2+11\,m+30\right)}{m^3+15\,m^2+74\,m+120}+\frac{b^2\,c\,x^5\,\sqrt{c\,x^2}\,\left(m^2+9\,m+20\right)}{m^3+15\,m^2+74\,m+120}+\frac{2\,a\,b\,c\,x^4\,\sqrt{c\,x^2}\,\left(m^2+10\,m+24\right)}{m^3+15\,m^2+74\,m+120}\right)","Not used",1,"(d*x)^m*((a^2*c*x^3*(c*x^2)^(1/2)*(11*m + m^2 + 30))/(74*m + 15*m^2 + m^3 + 120) + (b^2*c*x^5*(c*x^2)^(1/2)*(9*m + m^2 + 20))/(74*m + 15*m^2 + m^3 + 120) + (2*a*b*c*x^4*(c*x^2)^(1/2)*(10*m + m^2 + 24))/(74*m + 15*m^2 + m^3 + 120))","B"
977,1,116,94,0.264486,"\text{Not used}","int((d*x)^m*(c*x^2)^(1/2)*(a + b*x)^2,x)","{\left(d\,x\right)}^m\,\left(\frac{a^2\,x\,\sqrt{c\,x^2}\,\left(m^2+7\,m+12\right)}{m^3+9\,m^2+26\,m+24}+\frac{b^2\,x^3\,\sqrt{c\,x^2}\,\left(m^2+5\,m+6\right)}{m^3+9\,m^2+26\,m+24}+\frac{2\,a\,b\,x^2\,\sqrt{c\,x^2}\,\left(m^2+6\,m+8\right)}{m^3+9\,m^2+26\,m+24}\right)","Not used",1,"(d*x)^m*((a^2*x*(c*x^2)^(1/2)*(7*m + m^2 + 12))/(26*m + 9*m^2 + m^3 + 24) + (b^2*x^3*(c*x^2)^(1/2)*(5*m + m^2 + 6))/(26*m + 9*m^2 + m^3 + 24) + (2*a*b*x^2*(c*x^2)^(1/2)*(6*m + m^2 + 8))/(26*m + 9*m^2 + m^3 + 24))","B"
978,1,62,81,0.258140,"\text{Not used}","int(((d*x)^m*(a + b*x)^2)/(c*x^2)^(1/2),x)","\frac{{\left(d\,x\right)}^m\,\left(\frac{a^2\,x}{m}+\frac{b^2\,x^3\,\left(m+1\right)}{m^2+3\,m+2}+\frac{2\,a\,b\,x^2\,\left(m+2\right)}{m^2+3\,m+2}\right)}{\sqrt{c\,x^2}}","Not used",1,"((d*x)^m*((a^2*x)/m + (b^2*x^3*(m + 1))/(3*m + m^2 + 2) + (2*a*b*x^2*(m + 2))/(3*m + m^2 + 2)))/(c*x^2)^(1/2)","B"
979,1,66,93,0.319202,"\text{Not used}","int(((d*x)^m*(a + b*x)^2)/(c*x^2)^(3/2),x)","\frac{a^2\,{\left(d\,x\right)}^m}{c\,x\,\sqrt{c\,x^2}\,\left(m-2\right)}+\frac{b\,{\left(d\,x\right)}^m\,\left(2\,a\,m-b\,x+b\,m\,x\right)}{c\,m\,\sqrt{c\,x^2}\,\left(m-1\right)}","Not used",1,"(a^2*(d*x)^m)/(c*x*(c*x^2)^(1/2)*(m - 2)) + (b*(d*x)^m*(2*a*m - b*x + b*m*x))/(c*m*(c*x^2)^(1/2)*(m - 1))","B"
980,1,82,105,0.339296,"\text{Not used}","int(((d*x)^m*(a + b*x)^2)/(c*x^2)^(5/2),x)","\frac{a^2\,{\left(d\,x\right)}^m}{c^2\,x^3\,\sqrt{c\,x^2}\,\left(m-4\right)}+\frac{b^2\,{\left(d\,x\right)}^m}{c^2\,x\,\sqrt{c\,x^2}\,\left(m-2\right)}+\frac{2\,a\,b\,{\left(d\,x\right)}^m}{c^2\,x^2\,\sqrt{c\,x^2}\,\left(m-3\right)}","Not used",1,"(a^2*(d*x)^m)/(c^2*x^3*(c*x^2)^(1/2)*(m - 4)) + (b^2*(d*x)^m)/(c^2*x*(c*x^2)^(1/2)*(m - 2)) + (2*a*b*(d*x)^m)/(c^2*x^2*(c*x^2)^(1/2)*(m - 3))","B"
981,0,-1,67,0.000000,"\text{Not used}","int((d*x)^m*(c*x^2)^(5/2)*(a + b*x)^n,x)","\int {\left(d\,x\right)}^m\,{\left(c\,x^2\right)}^{5/2}\,{\left(a+b\,x\right)}^n \,d x","Not used",1,"int((d*x)^m*(c*x^2)^(5/2)*(a + b*x)^n, x)","F"
982,0,-1,65,0.000000,"\text{Not used}","int((d*x)^m*(c*x^2)^(3/2)*(a + b*x)^n,x)","\int {\left(d\,x\right)}^m\,{\left(c\,x^2\right)}^{3/2}\,{\left(a+b\,x\right)}^n \,d x","Not used",1,"int((d*x)^m*(c*x^2)^(3/2)*(a + b*x)^n, x)","F"
983,0,-1,64,0.000000,"\text{Not used}","int((d*x)^m*(c*x^2)^(1/2)*(a + b*x)^n,x)","\int {\left(d\,x\right)}^m\,\sqrt{c\,x^2}\,{\left(a+b\,x\right)}^n \,d x","Not used",1,"int((d*x)^m*(c*x^2)^(1/2)*(a + b*x)^n, x)","F"
984,0,-1,53,0.000000,"\text{Not used}","int(((d*x)^m*(a + b*x)^n)/(c*x^2)^(1/2),x)","\int \frac{{\left(d\,x\right)}^m\,{\left(a+b\,x\right)}^n}{\sqrt{c\,x^2}} \,d x","Not used",1,"int(((d*x)^m*(a + b*x)^n)/(c*x^2)^(1/2), x)","F"
985,0,-1,68,0.000000,"\text{Not used}","int(((d*x)^m*(a + b*x)^n)/(c*x^2)^(3/2),x)","\int \frac{{\left(d\,x\right)}^m\,{\left(a+b\,x\right)}^n}{{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((d*x)^m*(a + b*x)^n)/(c*x^2)^(3/2), x)","F"
986,0,-1,68,0.000000,"\text{Not used}","int(((d*x)^m*(a + b*x)^n)/(c*x^2)^(5/2),x)","\int \frac{{\left(d\,x\right)}^m\,{\left(a+b\,x\right)}^n}{{\left(c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((d*x)^m*(a + b*x)^n)/(c*x^2)^(5/2), x)","F"
987,1,33,33,0.266184,"\text{Not used}","int((x^3*(c*x^2)^p)/(a + b*x)^(2*p + 5),x)","\frac{x^4\,{\left(c\,x^2\right)}^p}{2\,a\,\left(p+2\right)\,{\left(a+b\,x\right)}^{2\,p+4}}","Not used",1,"(x^4*(c*x^2)^p)/(2*a*(p + 2)*(a + b*x)^(2*p + 4))","B"
988,1,34,32,0.235483,"\text{Not used}","int((x^2*(c*x^2)^p)/(a + b*x)^(2*p + 4),x)","\frac{x^3\,{\left(c\,x^2\right)}^p}{a\,\left(2\,p+3\right)\,{\left(a+b\,x\right)}^{2\,p+3}}","Not used",1,"(x^3*(c*x^2)^p)/(a*(2*p + 3)*(a + b*x)^(2*p + 3))","B"
989,1,33,33,0.216850,"\text{Not used}","int((x*(c*x^2)^p)/(a + b*x)^(2*p + 3),x)","\frac{x^2\,{\left(c\,x^2\right)}^p}{2\,a\,\left(p+1\right)\,{\left(a+b\,x\right)}^{2\,p+2}}","Not used",1,"(x^2*(c*x^2)^p)/(2*a*(p + 1)*(a + b*x)^(2*p + 2))","B"
990,1,32,30,0.199831,"\text{Not used}","int((c*x^2)^p/(a + b*x)^(2*p + 2),x)","\frac{x\,{\left(c\,x^2\right)}^p}{a\,\left(2\,p+1\right)\,{\left(a+b\,x\right)}^{2\,p+1}}","Not used",1,"(x*(c*x^2)^p)/(a*(2*p + 1)*(a + b*x)^(2*p + 1))","B"
991,1,26,26,0.261645,"\text{Not used}","int((c*x^2)^p/(x*(a + b*x)^(2*p + 1)),x)","\frac{{\left(c\,x^2\right)}^p}{2\,a\,p\,{\left(a+b\,x\right)}^{2\,p}}","Not used",1,"(c*x^2)^p/(2*a*p*(a + b*x)^(2*p))","B"
992,1,32,33,0.239783,"\text{Not used}","int((c*x^2)^p/(x^2*(a + b*x)^(2*p)),x)","\frac{{\left(c\,x^2\right)}^p\,{\left(a+b\,x\right)}^{1-2\,p}}{a\,x\,\left(2\,p-1\right)}","Not used",1,"((c*x^2)^p*(a + b*x)^(1 - 2*p))/(a*x*(2*p - 1))","B"
993,1,50,35,0.247917,"\text{Not used}","int(((c*x^2)^p*(a + b*x)^(1 - 2*p))/x^3,x)","\frac{\left(\frac{{\left(c\,x^2\right)}^p}{2\,\left(p-1\right)}+\frac{b\,x\,{\left(c\,x^2\right)}^p}{2\,a\,\left(p-1\right)}\right)\,{\left(a+b\,x\right)}^{1-2\,p}}{x^2}","Not used",1,"(((c*x^2)^p/(2*(p - 1)) + (b*x*(c*x^2)^p)/(2*a*(p - 1)))*(a + b*x)^(1 - 2*p))/x^2","B"
994,1,51,33,0.250642,"\text{Not used}","int(((c*x^2)^p*(a + b*x)^(2 - 2*p))/x^4,x)","\frac{\left(\frac{{\left(c\,x^2\right)}^p}{2\,p-3}+\frac{b\,x\,{\left(c\,x^2\right)}^p}{a\,\left(2\,p-3\right)}\right)\,{\left(a+b\,x\right)}^{2-2\,p}}{x^3}","Not used",1,"(((c*x^2)^p/(2*p - 3) + (b*x*(c*x^2)^p)/(a*(2*p - 3)))*(a + b*x)^(2 - 2*p))/x^3","B"
995,1,50,38,0.337532,"\text{Not used}","int((x^m*(c*x^2)^p)/(a + b*x)^(m + 2*p + 2),x)","\frac{x\,x^m\,{\left(c\,x^2\right)}^p}{a\,{\left(a+b\,x\right)}^m\,{\left(a+b\,x\right)}^{2\,p}\,\left(a+b\,x\right)\,\left(m+2\,p+1\right)}","Not used",1,"(x*x^m*(c*x^2)^p)/(a*(a + b*x)^m*(a + b*x)^(2*p)*(a + b*x)*(m + 2*p + 1))","B"
996,1,39,39,0.264906,"\text{Not used}","int(((d*x)^m*(c*x^2)^p)/(a + b*x)^(m + 2*p + 2),x)","\frac{x\,{\left(d\,x\right)}^m\,{\left(c\,x^2\right)}^p}{a\,{\left(a+b\,x\right)}^{m+2\,p+1}\,\left(m+2\,p+1\right)}","Not used",1,"(x*(d*x)^m*(c*x^2)^p)/(a*(a + b*x)^(m + 2*p + 1)*(m + 2*p + 1))","B"
997,0,-1,63,0.000000,"\text{Not used}","int(x^m*(c*x^2)^p*(a + b*x)^n,x)","\int x^m\,{\left(c\,x^2\right)}^p\,{\left(a+b\,x\right)}^n \,d x","Not used",1,"int(x^m*(c*x^2)^p*(a + b*x)^n, x)","F"
998,0,-1,68,0.000000,"\text{Not used}","int((d*x)^m*(c*x^2)^p*(a + b*x)^n,x)","\int {\left(d\,x\right)}^m\,{\left(c\,x^2\right)}^p\,{\left(a+b\,x\right)}^n \,d x","Not used",1,"int((d*x)^m*(c*x^2)^p*(a + b*x)^n, x)","F"
999,1,27,17,0.049726,"\text{Not used}","int((a + b*x)^5/(d*x + (a*d)/b)^3,x)","\frac{b^3\,x\,\left(3\,a^2+3\,a\,b\,x+b^2\,x^2\right)}{3\,d^3}","Not used",1,"(b^3*x*(3*a^2 + b^2*x^2 + 3*a*b*x))/(3*d^3)","B"
1000,1,16,23,0.033535,"\text{Not used}","int((a + b*x)^4/(d*x + (a*d)/b)^3,x)","\frac{b^3\,x\,\left(2\,a+b\,x\right)}{2\,d^3}","Not used",1,"(b^3*x*(2*a + b*x))/(2*d^3)","B"
1001,1,8,8,0.010429,"\text{Not used}","int((a + b*x)^3/(d*x + (a*d)/b)^3,x)","\frac{b^3\,x}{d^3}","Not used",1,"(b^3*x)/d^3","B"
1002,1,13,13,0.047804,"\text{Not used}","int((a + b*x)^2/(d*x + (a*d)/b)^3,x)","\frac{b^2\,\ln\left(a+b\,x\right)}{d^3}","Not used",1,"(b^2*log(a + b*x))/d^3","B"
1003,1,15,15,0.036809,"\text{Not used}","int((a + b*x)/(d*x + (a*d)/b)^3,x)","-\frac{b^2}{d^3\,\left(a+b\,x\right)}","Not used",1,"-b^2/(d^3*(a + b*x))","B"
1004,1,49,17,0.153463,"\text{Not used}","int(1/((d*x + (a*d)/b)^3*(a + b*x)),x)","-\frac{b^2}{3\,\left(a^3\,d^3+3\,a^2\,b\,d^3\,x+3\,a\,b^2\,d^3\,x^2+b^3\,d^3\,x^3\right)}","Not used",1,"-b^2/(3*(a^3*d^3 + b^3*d^3*x^3 + 3*a*b^2*d^3*x^2 + 3*a^2*b*d^3*x))","B"
1005,1,63,17,0.063645,"\text{Not used}","int(1/((d*x + (a*d)/b)^3*(a + b*x)^2),x)","-\frac{b^2}{4\,\left(a^4\,d^3+4\,a^3\,b\,d^3\,x+6\,a^2\,b^2\,d^3\,x^2+4\,a\,b^3\,d^3\,x^3+b^4\,d^3\,x^4\right)}","Not used",1,"-b^2/(4*(a^4*d^3 + b^4*d^3*x^4 + 4*a*b^3*d^3*x^3 + 6*a^2*b^2*d^3*x^2 + 4*a^3*b*d^3*x))","B"
1006,1,77,17,0.053641,"\text{Not used}","int(1/((d*x + (a*d)/b)^3*(a + b*x)^3),x)","-\frac{b^2}{5\,\left(a^5\,d^3+5\,a^4\,b\,d^3\,x+10\,a^3\,b^2\,d^3\,x^2+10\,a^2\,b^3\,d^3\,x^3+5\,a\,b^4\,d^3\,x^4+b^5\,d^3\,x^5\right)}","Not used",1,"-b^2/(5*(a^5*d^3 + b^5*d^3*x^5 + 5*a*b^4*d^3*x^4 + 10*a^3*b^2*d^3*x^2 + 10*a^2*b^3*d^3*x^3 + 5*a^4*b*d^3*x))","B"
1007,1,27,17,0.156257,"\text{Not used}","int((b*x + (b*c)/d)^5/(c + d*x)^3,x)","\frac{b^5\,x\,\left(3\,c^2+3\,c\,d\,x+d^2\,x^2\right)}{3\,d^5}","Not used",1,"(b^5*x*(3*c^2 + d^2*x^2 + 3*c*d*x))/(3*d^5)","B"
1008,1,16,23,0.029688,"\text{Not used}","int((b*x + (b*c)/d)^4/(c + d*x)^3,x)","\frac{b^4\,x\,\left(2\,c+d\,x\right)}{2\,d^4}","Not used",1,"(b^4*x*(2*c + d*x))/(2*d^4)","B"
1009,1,8,8,0.008940,"\text{Not used}","int((b*x + (b*c)/d)^3/(c + d*x)^3,x)","\frac{b^3\,x}{d^3}","Not used",1,"(b^3*x)/d^3","B"
1010,1,13,13,0.142393,"\text{Not used}","int((b*x + (b*c)/d)^2/(c + d*x)^3,x)","\frac{b^2\,\ln\left(c+d\,x\right)}{d^3}","Not used",1,"(b^2*log(c + d*x))/d^3","B"
1011,1,13,13,0.039565,"\text{Not used}","int((b*x + (b*c)/d)/(c + d*x)^3,x)","-\frac{b}{d^2\,\left(c+d\,x\right)}","Not used",1,"-b/(d^2*(c + d*x))","B"
1012,1,38,14,0.046558,"\text{Not used}","int(1/((b*x + (b*c)/d)*(c + d*x)^3),x)","-\frac{1}{3\,b\,c^3+9\,b\,c^2\,d\,x+9\,b\,c\,d^2\,x^2+3\,b\,d^3\,x^3}","Not used",1,"-1/(3*b*c^3 + 3*b*d^3*x^3 + 9*b*c^2*d*x + 9*b*c*d^2*x^2)","B"
1013,1,61,15,0.049743,"\text{Not used}","int(1/((b*x + (b*c)/d)^2*(c + d*x)^3),x)","-\frac{d}{4\,\left(b^2\,c^4+4\,b^2\,c^3\,d\,x+6\,b^2\,c^2\,d^2\,x^2+4\,b^2\,c\,d^3\,x^3+b^2\,d^4\,x^4\right)}","Not used",1,"-d/(4*(b^2*c^4 + b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x))","B"
1014,1,77,17,0.172840,"\text{Not used}","int(1/((b*x + (b*c)/d)^3*(c + d*x)^3),x)","-\frac{d^2}{5\,\left(b^3\,c^5+5\,b^3\,c^4\,d\,x+10\,b^3\,c^3\,d^2\,x^2+10\,b^3\,c^2\,d^3\,x^3+5\,b^3\,c\,d^4\,x^4+b^3\,d^5\,x^5\right)}","Not used",1,"-d^2/(5*(b^3*c^5 + b^3*d^5*x^5 + 5*b^3*c*d^4*x^4 + 10*b^3*c^3*d^2*x^2 + 10*b^3*c^2*d^3*x^3 + 5*b^3*c^4*d*x))","B"
1015,1,107,24,0.326461,"\text{Not used}","int((a*c + b*c*x)^n*(a + b*x)^5,x)","{\left(a\,c+b\,c\,x\right)}^n\,\left(\frac{a^6}{b\,\left(n+6\right)}+\frac{b^5\,x^6}{n+6}+\frac{6\,a^5\,x}{n+6}+\frac{15\,a^4\,b\,x^2}{n+6}+\frac{6\,a\,b^4\,x^5}{n+6}+\frac{20\,a^3\,b^2\,x^3}{n+6}+\frac{15\,a^2\,b^3\,x^4}{n+6}\right)","Not used",1,"(a*c + b*c*x)^n*(a^6/(b*(n + 6)) + (b^5*x^6)/(n + 6) + (6*a^5*x)/(n + 6) + (15*a^4*b*x^2)/(n + 6) + (6*a*b^4*x^5)/(n + 6) + (20*a^3*b^2*x^3)/(n + 6) + (15*a^2*b^3*x^4)/(n + 6))","B"
1016,1,113,17,0.050623,"\text{Not used}","int((a*c + b*c*x)^3*(a + b*x)^5,x)","a^8\,c^3\,x+4\,a^7\,b\,c^3\,x^2+\frac{28\,a^6\,b^2\,c^3\,x^3}{3}+14\,a^5\,b^3\,c^3\,x^4+14\,a^4\,b^4\,c^3\,x^5+\frac{28\,a^3\,b^5\,c^3\,x^6}{3}+4\,a^2\,b^6\,c^3\,x^7+a\,b^7\,c^3\,x^8+\frac{b^8\,c^3\,x^9}{9}","Not used",1,"a^8*c^3*x + (b^8*c^3*x^9)/9 + 4*a^7*b*c^3*x^2 + a*b^7*c^3*x^8 + (28*a^6*b^2*c^3*x^3)/3 + 14*a^5*b^3*c^3*x^4 + 14*a^4*b^4*c^3*x^5 + (28*a^3*b^5*c^3*x^6)/3 + 4*a^2*b^6*c^3*x^7","B"
1017,1,99,17,0.040670,"\text{Not used}","int((a*c + b*c*x)^2*(a + b*x)^5,x)","a^7\,c^2\,x+\frac{7\,a^6\,b\,c^2\,x^2}{2}+7\,a^5\,b^2\,c^2\,x^3+\frac{35\,a^4\,b^3\,c^2\,x^4}{4}+7\,a^3\,b^4\,c^2\,x^5+\frac{7\,a^2\,b^5\,c^2\,x^6}{2}+a\,b^6\,c^2\,x^7+\frac{b^7\,c^2\,x^8}{8}","Not used",1,"a^7*c^2*x + (b^7*c^2*x^8)/8 + (7*a^6*b*c^2*x^2)/2 + a*b^6*c^2*x^7 + 7*a^5*b^2*c^2*x^3 + (35*a^4*b^3*c^2*x^4)/4 + 7*a^3*b^4*c^2*x^5 + (7*a^2*b^5*c^2*x^6)/2","B"
1018,1,71,15,0.030293,"\text{Not used}","int((a*c + b*c*x)*(a + b*x)^5,x)","c\,a^6\,x+3\,c\,a^5\,b\,x^2+5\,c\,a^4\,b^2\,x^3+5\,c\,a^3\,b^3\,x^4+3\,c\,a^2\,b^4\,x^5+c\,a\,b^5\,x^6+\frac{c\,b^6\,x^7}{7}","Not used",1,"(b^6*c*x^7)/7 + a^6*c*x + 5*a^4*b^2*c*x^3 + 5*a^3*b^3*c*x^4 + 3*a^2*b^4*c*x^5 + 3*a^5*b*c*x^2 + a*b^5*c*x^6","B"
1019,1,57,17,0.025119,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x),x)","\frac{a^4\,x}{c}+\frac{b^4\,x^5}{5\,c}+\frac{2\,a^3\,b\,x^2}{c}+\frac{a\,b^3\,x^4}{c}+\frac{2\,a^2\,b^2\,x^3}{c}","Not used",1,"(a^4*x)/c + (b^4*x^5)/(5*c) + (2*a^3*b*x^2)/c + (a*b^3*x^4)/c + (2*a^2*b^2*x^3)/c","B"
1020,1,43,17,0.048438,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^2,x)","\frac{a^3\,x}{c^2}+\frac{b^3\,x^4}{4\,c^2}+\frac{3\,a^2\,b\,x^2}{2\,c^2}+\frac{a\,b^2\,x^3}{c^2}","Not used",1,"(a^3*x)/c^2 + (b^3*x^4)/(4*c^2) + (3*a^2*b*x^2)/(2*c^2) + (a*b^2*x^3)/c^2","B"
1021,1,24,17,0.036492,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^3,x)","\frac{x\,\left(3\,a^2+3\,a\,b\,x+b^2\,x^2\right)}{3\,c^3}","Not used",1,"(x*(3*a^2 + b^2*x^2 + 3*a*b*x))/(3*c^3)","B"
1022,1,13,18,0.023933,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^4,x)","\frac{x\,\left(2\,a+b\,x\right)}{2\,c^4}","Not used",1,"(x*(2*a + b*x))/(2*c^4)","B"
1023,1,5,5,0.008201,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^5,x)","\frac{x}{c^5}","Not used",1,"x/c^5","B"
1024,1,13,13,0.040454,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^6,x)","\frac{\ln\left(a+b\,x\right)}{b\,c^6}","Not used",1,"log(a + b*x)/(b*c^6)","B"
1025,1,19,15,0.045578,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^7,x)","-\frac{1}{x\,b^2\,c^7+a\,b\,c^7}","Not used",1,"-1/(b^2*c^7*x + a*b*c^7)","B"
1026,1,35,17,0.145817,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^8,x)","-\frac{1}{2\,a^2\,b\,c^8+4\,a\,b^2\,c^8\,x+2\,b^3\,c^8\,x^2}","Not used",1,"-1/(2*a^2*b*c^8 + 2*b^3*c^8*x^2 + 4*a*b^2*c^8*x)","B"
1027,1,35,28,0.221937,"\text{Not used}","int(1/((- 3*x - 2)^(1/2)*(3*x + 2)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{-\sqrt{-3\,x-2}+\sqrt{2}\,1{}\mathrm{i}}{\sqrt{2}-\sqrt{3\,x+2}}\right)}{3}","Not used",1,"-(4*atan((2^(1/2)*1i - (- 3*x - 2)^(1/2))/(2^(1/2) - (3*x + 2)^(1/2))))/3","B"
1028,1,44,38,0.160154,"\text{Not used}","int((a*c - b*c*x)^3*(a + b*x),x)","a^4\,c^3\,x-a^3\,b\,c^3\,x^2+\frac{a\,b^3\,c^3\,x^4}{2}-\frac{b^4\,c^3\,x^5}{5}","Not used",1,"a^4*c^3*x - (b^4*c^3*x^5)/5 - a^3*b*c^3*x^2 + (a*b^3*c^3*x^4)/2","B"
1029,1,44,38,0.047923,"\text{Not used}","int((a*c - b*c*x)^2*(a + b*x),x)","a^3\,c^2\,x-\frac{a^2\,b\,c^2\,x^2}{2}-\frac{a\,b^2\,c^2\,x^3}{3}+\frac{b^3\,c^2\,x^4}{4}","Not used",1,"a^3*c^2*x + (b^3*c^2*x^4)/4 - (a^2*b*c^2*x^2)/2 - (a*b^2*c^2*x^3)/3","B"
1030,1,18,18,0.023023,"\text{Not used}","int((a*c - b*c*x)*(a + b*x),x)","\frac{c\,x\,\left(3\,a^2-b^2\,x^2\right)}{3}","Not used",1,"(c*x*(3*a^2 - b^2*x^2))/3","B"
1031,1,10,12,0.016802,"\text{Not used}","int(a + b*x,x)","\frac{b\,x^2}{2}+a\,x","Not used",1,"a*x + (b*x^2)/2","B"
1032,1,23,23,0.045616,"\text{Not used}","int((a + b*x)/(a*c - b*c*x),x)","-\frac{b\,x+2\,a\,\ln\left(b\,x-a\right)}{b\,c}","Not used",1,"-(b*x + 2*a*log(b*x - a))/(b*c)","B"
1033,1,37,32,0.051534,"\text{Not used}","int((a + b*x)/(a*c - b*c*x)^2,x)","\frac{\ln\left(b\,x-a\right)}{b\,c^2}+\frac{2\,a}{b\,\left(a\,c^2-b\,c^2\,x\right)}","Not used",1,"log(b*x - a)/(b*c^2) + (2*a)/(b*(a*c^2 - b*c^2*x))","B"
1034,1,13,13,0.148248,"\text{Not used}","int((a + b*x)/(a*c - b*c*x)^3,x)","\frac{x}{c^3\,{\left(a-b\,x\right)}^2}","Not used",1,"x/(c^3*(a - b*x)^2)","B"
1035,1,54,38,0.048778,"\text{Not used}","int((a + b*x)/(a*c - b*c*x)^4,x)","\frac{\frac{x}{2}+\frac{a}{6\,b}}{a^3\,c^4-3\,a^2\,b\,c^4\,x+3\,a\,b^2\,c^4\,x^2-b^3\,c^4\,x^3}","Not used",1,"(x/2 + a/(6*b))/(a^3*c^4 - b^3*c^4*x^3 + 3*a*b^2*c^4*x^2 - 3*a^2*b*c^4*x)","B"
1036,1,67,38,0.166593,"\text{Not used}","int((a + b*x)/(a*c - b*c*x)^5,x)","\frac{\frac{x}{3}+\frac{a}{6\,b}}{a^4\,c^5-4\,a^3\,b\,c^5\,x+6\,a^2\,b^2\,c^5\,x^2-4\,a\,b^3\,c^5\,x^3+b^4\,c^5\,x^4}","Not used",1,"(x/3 + a/(6*b))/(a^4*c^5 + b^4*c^5*x^4 - 4*a*b^3*c^5*x^3 + 6*a^2*b^2*c^5*x^2 - 4*a^3*b*c^5*x)","B"
1037,1,82,38,0.075246,"\text{Not used}","int((a + b*x)/(a*c - b*c*x)^6,x)","\frac{\frac{x}{4}+\frac{3\,a}{20\,b}}{a^5\,c^6-5\,a^4\,b\,c^6\,x+10\,a^3\,b^2\,c^6\,x^2-10\,a^2\,b^3\,c^6\,x^3+5\,a\,b^4\,c^6\,x^4-b^5\,c^6\,x^5}","Not used",1,"(x/4 + (3*a)/(20*b))/(a^5*c^6 - b^5*c^6*x^5 + 5*a*b^4*c^6*x^4 + 10*a^3*b^2*c^6*x^2 - 10*a^2*b^3*c^6*x^3 - 5*a^4*b*c^6*x)","B"
1038,1,72,57,0.031771,"\text{Not used}","int((a*c - b*c*x)^3*(a + b*x)^2,x)","a^5\,c^3\,x-\frac{a^4\,b\,c^3\,x^2}{2}-\frac{2\,a^3\,b^2\,c^3\,x^3}{3}+\frac{a^2\,b^3\,c^3\,x^4}{2}+\frac{a\,b^4\,c^3\,x^5}{5}-\frac{b^5\,c^3\,x^6}{6}","Not used",1,"a^5*c^3*x - (b^5*c^3*x^6)/6 - (a^4*b*c^3*x^2)/2 + (a*b^4*c^3*x^5)/5 - (2*a^3*b^2*c^3*x^3)/3 + (a^2*b^3*c^3*x^4)/2","B"
1039,1,31,38,0.039550,"\text{Not used}","int((a*c - b*c*x)^2*(a + b*x)^2,x)","\frac{c^2\,x\,\left(15\,a^4-10\,a^2\,b^2\,x^2+3\,b^4\,x^4\right)}{15}","Not used",1,"(c^2*x*(15*a^4 + 3*b^4*x^4 - 10*a^2*b^2*x^2))/15","B"
1040,1,36,32,0.048725,"\text{Not used}","int((a*c - b*c*x)*(a + b*x)^2,x)","c\,a^3\,x+\frac{c\,a^2\,b\,x^2}{2}-\frac{c\,a\,b^2\,x^3}{3}-\frac{c\,b^3\,x^4}{4}","Not used",1,"a^3*c*x - (b^3*c*x^4)/4 + (a^2*b*c*x^2)/2 - (a*b^2*c*x^3)/3","B"
1041,1,20,14,0.026823,"\text{Not used}","int((a + b*x)^2,x)","a^2\,x+a\,b\,x^2+\frac{b^2\,x^3}{3}","Not used",1,"a^2*x + (b^2*x^3)/3 + a*b*x^2","B"
1042,1,34,43,0.046793,"\text{Not used}","int((a + b*x)^2/(a*c - b*c*x),x)","-\frac{8\,a^2\,\ln\left(b\,x-a\right)+b^2\,x^2+6\,a\,b\,x}{2\,b\,c}","Not used",1,"-(8*a^2*log(b*x - a) + b^2*x^2 + 6*a*b*x)/(2*b*c)","B"
1043,1,46,41,0.149272,"\text{Not used}","int((a + b*x)^2/(a*c - b*c*x)^2,x)","\frac{x}{c^2}+\frac{4\,a^2}{b\,\left(a\,c^2-b\,c^2\,x\right)}+\frac{4\,a\,\ln\left(b\,x-a\right)}{b\,c^2}","Not used",1,"x/c^2 + (4*a^2)/(b*(a*c^2 - b*c^2*x)) + (4*a*log(b*x - a))/(b*c^2)","B"
1044,1,59,52,0.171870,"\text{Not used}","int((a + b*x)^2/(a*c - b*c*x)^3,x)","\frac{4\,a\,x-\frac{2\,a^2}{b}}{a^2\,c^3-2\,a\,b\,c^3\,x+b^2\,c^3\,x^2}-\frac{\ln\left(b\,x-a\right)}{b\,c^3}","Not used",1,"(4*a*x - (2*a^2)/b)/(a^2*c^3 + b^2*c^3*x^2 - 2*a*b*c^3*x) - log(b*x - a)/(b*c^3)","B"
1045,1,58,28,0.045541,"\text{Not used}","int((a + b*x)^2/(a*c - b*c*x)^4,x)","\frac{b\,x^2+\frac{a^2}{3\,b}}{a^3\,c^4-3\,a^2\,b\,c^4\,x+3\,a\,b^2\,c^4\,x^2-b^3\,c^4\,x^3}","Not used",1,"(b*x^2 + a^2/(3*b))/(a^3*c^4 - b^3*c^4*x^3 + 3*a*b^2*c^4*x^2 - 3*a^2*b*c^4*x)","B"
1046,1,76,56,0.051798,"\text{Not used}","int((a + b*x)^2/(a*c - b*c*x)^5,x)","\frac{\frac{a\,x}{3}+\frac{b\,x^2}{2}+\frac{a^2}{6\,b}}{a^4\,c^5-4\,a^3\,b\,c^5\,x+6\,a^2\,b^2\,c^5\,x^2-4\,a\,b^3\,c^5\,x^3+b^4\,c^5\,x^4}","Not used",1,"((a*x)/3 + (b*x^2)/2 + a^2/(6*b))/(a^4*c^5 + b^4*c^5*x^4 - 4*a*b^3*c^5*x^3 + 6*a^2*b^2*c^5*x^2 - 4*a^3*b*c^5*x)","B"
1047,1,91,57,0.186966,"\text{Not used}","int((a + b*x)^2/(a*c - b*c*x)^6,x)","\frac{\frac{a\,x}{3}+\frac{b\,x^2}{3}+\frac{2\,a^2}{15\,b}}{a^5\,c^6-5\,a^4\,b\,c^6\,x+10\,a^3\,b^2\,c^6\,x^2-10\,a^2\,b^3\,c^6\,x^3+5\,a\,b^4\,c^6\,x^4-b^5\,c^6\,x^5}","Not used",1,"((a*x)/3 + (b*x^2)/3 + (2*a^2)/(15*b))/(a^5*c^6 - b^5*c^6*x^5 + 5*a*b^4*c^6*x^4 + 10*a^3*b^2*c^6*x^2 - 10*a^2*b^3*c^6*x^3 - 5*a^4*b*c^6*x)","B"
1048,1,104,59,0.108380,"\text{Not used}","int((a + b*x)^2/(a*c - b*c*x)^7,x)","\frac{\frac{3\,a\,x}{10}+\frac{b\,x^2}{4}+\frac{7\,a^2}{60\,b}}{a^6\,c^7-6\,a^5\,b\,c^7\,x+15\,a^4\,b^2\,c^7\,x^2-20\,a^3\,b^3\,c^7\,x^3+15\,a^2\,b^4\,c^7\,x^4-6\,a\,b^5\,c^7\,x^5+b^6\,c^7\,x^6}","Not used",1,"((3*a*x)/10 + (b*x^2)/4 + (7*a^2)/(60*b))/(a^6*c^7 + b^6*c^7*x^6 - 6*a*b^5*c^7*x^5 + 15*a^4*b^2*c^7*x^2 - 20*a^3*b^3*c^7*x^3 + 15*a^2*b^4*c^7*x^4 - 6*a^5*b*c^7*x)","B"
1049,1,48,61,0.048699,"\text{Not used}","int((a*c - b*c*x)^3/(a + b*x),x)","\frac{8\,a^3\,c^3\,\ln\left(a+b\,x\right)}{b}-\frac{b^2\,c^3\,x^3}{3}-7\,a^2\,c^3\,x+2\,a\,b\,c^3\,x^2","Not used",1,"(8*a^3*c^3*log(a + b*x))/b - (b^2*c^3*x^3)/3 - 7*a^2*c^3*x + 2*a*b*c^3*x^2","B"
1050,1,32,43,0.148341,"\text{Not used}","int((a*c - b*c*x)^2/(a + b*x),x)","\frac{c^2\,\left(8\,a^2\,\ln\left(a+b\,x\right)+b^2\,x^2-6\,a\,b\,x\right)}{2\,b}","Not used",1,"(c^2*(8*a^2*log(a + b*x) + b^2*x^2 - 6*a*b*x))/(2*b)","B"
1051,1,18,18,0.038532,"\text{Not used}","int((a*c - b*c*x)/(a + b*x),x)","\frac{2\,a\,c\,\ln\left(a+b\,x\right)}{b}-c\,x","Not used",1,"(2*a*c*log(a + b*x))/b - c*x","B"
1052,1,10,10,0.019344,"\text{Not used}","int(1/(a + b*x),x)","\frac{\ln\left(a+b\,x\right)}{b}","Not used",1,"log(a + b*x)/b","B"
1053,1,17,17,0.170032,"\text{Not used}","int(1/((a*c - b*c*x)*(a + b*x)),x)","\frac{\mathrm{atanh}\left(\frac{b\,x}{a}\right)}{a\,b\,c}","Not used",1,"atanh((b*x)/a)/(a*b*c)","B"
1054,1,42,42,0.071487,"\text{Not used}","int(1/((a*c - b*c*x)^2*(a + b*x)),x)","\frac{1}{2\,a\,b\,\left(a\,c^2-b\,c^2\,x\right)}+\frac{\mathrm{atanh}\left(\frac{b\,x}{a}\right)}{2\,a^2\,b\,c^2}","Not used",1,"1/(2*a*b*(a*c^2 - b*c^2*x)) + atanh((b*x)/a)/(2*a^2*b*c^2)","B"
1055,1,64,63,0.078352,"\text{Not used}","int(1/((a*c - b*c*x)^3*(a + b*x)),x)","\frac{\mathrm{atanh}\left(\frac{b\,x}{a}\right)}{4\,a^3\,b\,c^3}-\frac{\frac{x}{4\,a^2}-\frac{1}{2\,a\,b}}{a^2\,c^3-2\,a\,b\,c^3\,x+b^2\,c^3\,x^2}","Not used",1,"atanh((b*x)/a)/(4*a^3*b*c^3) - (x/(4*a^2) - 1/(2*a*b))/(a^2*c^3 + b^2*c^3*x^2 - 2*a*b*c^3*x)","B"
1056,1,52,54,0.054565,"\text{Not used}","int((a*c - b*c*x)^3/(a + b*x)^2,x)","5\,a\,c^3\,x-\frac{b\,c^3\,x^2}{2}-\frac{12\,a^2\,c^3\,\ln\left(a+b\,x\right)}{b}-\frac{8\,a^3\,c^3}{b\,\left(a+b\,x\right)}","Not used",1,"5*a*c^3*x - (b*c^3*x^2)/2 - (12*a^2*c^3*log(a + b*x))/b - (8*a^3*c^3)/(b*(a + b*x))","B"
1057,1,39,39,0.167545,"\text{Not used}","int((a*c - b*c*x)^2/(a + b*x)^2,x)","c^2\,x-\frac{4\,a\,c^2\,\ln\left(a+b\,x\right)}{b}-\frac{4\,a^2\,c^2}{b\,\left(a+b\,x\right)}","Not used",1,"c^2*x - (4*a*c^2*log(a + b*x))/b - (4*a^2*c^2)/(b*(a + b*x))","B"
1058,1,27,27,0.042799,"\text{Not used}","int((a*c - b*c*x)/(a + b*x)^2,x)","-\frac{c\,\ln\left(a+b\,x\right)}{b}-\frac{2\,a\,c}{b\,\left(a+b\,x\right)}","Not used",1,"- (c*log(a + b*x))/b - (2*a*c)/(b*(a + b*x))","B"
1059,1,12,12,0.023969,"\text{Not used}","int(1/(a + b*x)^2,x)","-\frac{1}{b\,\left(a+b\,x\right)}","Not used",1,"-1/(b*(a + b*x))","B"
1060,1,37,41,0.177419,"\text{Not used}","int(1/((a*c - b*c*x)*(a + b*x)^2),x)","\frac{\mathrm{atanh}\left(\frac{b\,x}{a}\right)}{2\,a^2\,b\,c}-\frac{1}{2\,a\,b\,\left(a\,c+b\,c\,x\right)}","Not used",1,"atanh((b*x)/a)/(2*a^2*b*c) - 1/(2*a*b*(a*c + b*c*x))","B"
1061,1,46,46,0.180725,"\text{Not used}","int(1/((a*c - b*c*x)^2*(a + b*x)^2),x)","\frac{x}{2\,a^2\,\left(a^2\,c^2-b^2\,c^2\,x^2\right)}+\frac{\mathrm{atanh}\left(\frac{b\,x}{a}\right)}{2\,a^3\,b\,c^2}","Not used",1,"x/(2*a^2*(a^2*c^2 - b^2*c^2*x^2)) + atanh((b*x)/a)/(2*a^3*b*c^2)","B"
1062,1,86,83,0.098358,"\text{Not used}","int(1/((a*c - b*c*x)^3*(a + b*x)^2),x)","\frac{\frac{3\,x}{8\,a^2}+\frac{1}{4\,a\,b}-\frac{3\,b\,x^2}{8\,a^3}}{a^3\,c^3-a^2\,b\,c^3\,x-a\,b^2\,c^3\,x^2+b^3\,c^3\,x^3}+\frac{3\,\mathrm{atanh}\left(\frac{b\,x}{a}\right)}{8\,a^4\,b\,c^3}","Not used",1,"((3*x)/(8*a^2) + 1/(4*a*b) - (3*b*x^2)/(8*a^3))/(a^3*c^3 + b^3*c^3*x^3 - a*b^2*c^3*x^2 - a^2*b*c^3*x) + (3*atanh((b*x)/a))/(8*a^4*b*c^3)","B"
1063,0,-1,108,0.000000,"\text{Not used}","int((1 - x)^(9/2)*(x + 1)^(1/2),x)","\int {\left(1-x\right)}^{9/2}\,\sqrt{x+1} \,d x","Not used",1,"int((1 - x)^(9/2)*(x + 1)^(1/2), x)","F"
1064,0,-1,88,0.000000,"\text{Not used}","int((1 - x)^(7/2)*(x + 1)^(1/2),x)","\int {\left(1-x\right)}^{7/2}\,\sqrt{x+1} \,d x","Not used",1,"int((1 - x)^(7/2)*(x + 1)^(1/2), x)","F"
1065,0,-1,68,0.000000,"\text{Not used}","int((1 - x)^(5/2)*(x + 1)^(1/2),x)","\int {\left(1-x\right)}^{5/2}\,\sqrt{x+1} \,d x","Not used",1,"int((1 - x)^(5/2)*(x + 1)^(1/2), x)","F"
1066,0,-1,48,0.000000,"\text{Not used}","int((1 - x)^(3/2)*(x + 1)^(1/2),x)","\int {\left(1-x\right)}^{3/2}\,\sqrt{x+1} \,d x","Not used",1,"int((1 - x)^(3/2)*(x + 1)^(1/2), x)","F"
1067,1,37,28,0.204502,"\text{Not used}","int((1 - x)^(1/2)*(x + 1)^(1/2),x)","\frac{x\,\sqrt{1-x}\,\sqrt{x+1}}{2}-\frac{\ln\left(x-\sqrt{1-x}\,\sqrt{x+1}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(x*(1 - x)^(1/2)*(x + 1)^(1/2))/2 - (log(x - (1 - x)^(1/2)*(x + 1)^(1/2)*1i)*1i)/2","B"
1068,1,14,21,0.144588,"\text{Not used}","int((x + 1)^(1/2)/(1 - x)^(1/2),x)","\mathrm{asin}\left(x\right)-\sqrt{1-x^2}","Not used",1,"asin(x) - (1 - x^2)^(1/2)","B"
1069,0,-1,23,0.000000,"\text{Not used}","int((x + 1)^(1/2)/(1 - x)^(3/2),x)","\int \frac{\sqrt{x+1}}{{\left(1-x\right)}^{3/2}} \,d x","Not used",1,"int((x + 1)^(1/2)/(1 - x)^(3/2), x)","F"
1070,1,34,20,0.269598,"\text{Not used}","int((x + 1)^(1/2)/(1 - x)^(5/2),x)","\frac{\left(\frac{x\,\sqrt{x+1}}{3}+\frac{\sqrt{x+1}}{3}\right)\,\sqrt{1-x}}{x^2-2\,x+1}","Not used",1,"(((x*(x + 1)^(1/2))/3 + (x + 1)^(1/2)/3)*(1 - x)^(1/2))/(x^2 - 2*x + 1)","B"
1071,1,50,41,0.244403,"\text{Not used}","int((x + 1)^(1/2)/(1 - x)^(7/2),x)","-\frac{\sqrt{1-x}\,\left(\frac{x\,\sqrt{x+1}}{5}+\frac{4\,\sqrt{x+1}}{15}-\frac{x^2\,\sqrt{x+1}}{15}\right)}{x^3-3\,x^2+3\,x-1}","Not used",1,"-((1 - x)^(1/2)*((x*(x + 1)^(1/2))/5 + (4*(x + 1)^(1/2))/15 - (x^2*(x + 1)^(1/2))/15))/(3*x - 3*x^2 + x^3 - 1)","B"
1072,1,64,61,0.268825,"\text{Not used}","int((x + 1)^(1/2)/(1 - x)^(9/2),x)","\frac{\sqrt{1-x}\,\left(\frac{13\,x\,\sqrt{x+1}}{105}+\frac{23\,\sqrt{x+1}}{105}-\frac{8\,x^2\,\sqrt{x+1}}{105}+\frac{2\,x^3\,\sqrt{x+1}}{105}\right)}{x^4-4\,x^3+6\,x^2-4\,x+1}","Not used",1,"((1 - x)^(1/2)*((13*x*(x + 1)^(1/2))/105 + (23*(x + 1)^(1/2))/105 - (8*x^2*(x + 1)^(1/2))/105 + (2*x^3*(x + 1)^(1/2))/105))/(6*x^2 - 4*x - 4*x^3 + x^4 + 1)","B"
1073,1,80,81,0.281826,"\text{Not used}","int((x + 1)^(1/2)/(1 - x)^(11/2),x)","-\frac{\sqrt{1-x}\,\left(\frac{5\,x\,\sqrt{x+1}}{63}+\frac{58\,\sqrt{x+1}}{315}-\frac{x^2\,\sqrt{x+1}}{15}+\frac{2\,x^3\,\sqrt{x+1}}{63}-\frac{2\,x^4\,\sqrt{x+1}}{315}\right)}{x^5-5\,x^4+10\,x^3-10\,x^2+5\,x-1}","Not used",1,"-((1 - x)^(1/2)*((5*x*(x + 1)^(1/2))/63 + (58*(x + 1)^(1/2))/315 - (x^2*(x + 1)^(1/2))/15 + (2*x^3*(x + 1)^(1/2))/63 - (2*x^4*(x + 1)^(1/2))/315))/(5*x - 10*x^2 + 10*x^3 - 5*x^4 + x^5 - 1)","B"
1074,1,94,101,0.291869,"\text{Not used}","int((x + 1)^(1/2)/(1 - x)^(13/2),x)","\frac{\sqrt{1-x}\,\left(\frac{61\,x\,\sqrt{x+1}}{1155}+\frac{547\,\sqrt{x+1}}{3465}-\frac{184\,x^2\,\sqrt{x+1}}{3465}+\frac{124\,x^3\,\sqrt{x+1}}{3465}-\frac{16\,x^4\,\sqrt{x+1}}{1155}+\frac{8\,x^5\,\sqrt{x+1}}{3465}\right)}{x^6-6\,x^5+15\,x^4-20\,x^3+15\,x^2-6\,x+1}","Not used",1,"((1 - x)^(1/2)*((61*x*(x + 1)^(1/2))/1155 + (547*(x + 1)^(1/2))/3465 - (184*x^2*(x + 1)^(1/2))/3465 + (124*x^3*(x + 1)^(1/2))/3465 - (16*x^4*(x + 1)^(1/2))/1155 + (8*x^5*(x + 1)^(1/2))/3465))/(15*x^2 - 6*x - 20*x^3 + 15*x^4 - 6*x^5 + x^6 + 1)","B"
1075,0,-1,109,0.000000,"\text{Not used}","int((1 - x)^(9/2)*(x + 1)^(3/2),x)","\int {\left(1-x\right)}^{9/2}\,{\left(x+1\right)}^{3/2} \,d x","Not used",1,"int((1 - x)^(9/2)*(x + 1)^(3/2), x)","F"
1076,0,-1,89,0.000000,"\text{Not used}","int((1 - x)^(7/2)*(x + 1)^(3/2),x)","\int {\left(1-x\right)}^{7/2}\,{\left(x+1\right)}^{3/2} \,d x","Not used",1,"int((1 - x)^(7/2)*(x + 1)^(3/2), x)","F"
1077,0,-1,69,0.000000,"\text{Not used}","int((1 - x)^(5/2)*(x + 1)^(3/2),x)","\int {\left(1-x\right)}^{5/2}\,{\left(x+1\right)}^{3/2} \,d x","Not used",1,"int((1 - x)^(5/2)*(x + 1)^(3/2), x)","F"
1078,0,-1,49,0.000000,"\text{Not used}","int((1 - x)^(3/2)*(x + 1)^(3/2),x)","\int {\left(1-x\right)}^{3/2}\,{\left(x+1\right)}^{3/2} \,d x","Not used",1,"int((1 - x)^(3/2)*(x + 1)^(3/2), x)","F"
1079,0,-1,48,0.000000,"\text{Not used}","int((1 - x)^(1/2)*(x + 1)^(3/2),x)","\int \sqrt{1-x}\,{\left(x+1\right)}^{3/2} \,d x","Not used",1,"int((1 - x)^(1/2)*(x + 1)^(3/2), x)","F"
1080,0,-1,47,0.000000,"\text{Not used}","int((x + 1)^(3/2)/(1 - x)^(1/2),x)","\int \frac{{\left(x+1\right)}^{3/2}}{\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)^(3/2)/(1 - x)^(1/2), x)","F"
1081,0,-1,41,0.000000,"\text{Not used}","int((x + 1)^(3/2)/(1 - x)^(3/2),x)","\int \frac{{\left(x+1\right)}^{3/2}}{{\left(1-x\right)}^{3/2}} \,d x","Not used",1,"int((x + 1)^(3/2)/(1 - x)^(3/2), x)","F"
1082,0,-1,41,0.000000,"\text{Not used}","int((x + 1)^(3/2)/(1 - x)^(5/2),x)","\int \frac{{\left(x+1\right)}^{3/2}}{{\left(1-x\right)}^{5/2}} \,d x","Not used",1,"int((x + 1)^(3/2)/(1 - x)^(5/2), x)","F"
1083,1,50,20,0.252142,"\text{Not used}","int((x + 1)^(3/2)/(1 - x)^(7/2),x)","-\frac{\sqrt{1-x}\,\left(\frac{2\,x\,\sqrt{x+1}}{5}+\frac{\sqrt{x+1}}{5}+\frac{x^2\,\sqrt{x+1}}{5}\right)}{x^3-3\,x^2+3\,x-1}","Not used",1,"-((1 - x)^(1/2)*((2*x*(x + 1)^(1/2))/5 + (x + 1)^(1/2)/5 + (x^2*(x + 1)^(1/2))/5))/(3*x - 3*x^2 + x^3 - 1)","B"
1084,1,64,41,0.268366,"\text{Not used}","int((x + 1)^(3/2)/(1 - x)^(9/2),x)","\frac{\sqrt{1-x}\,\left(\frac{11\,x\,\sqrt{x+1}}{35}+\frac{6\,\sqrt{x+1}}{35}+\frac{4\,x^2\,\sqrt{x+1}}{35}-\frac{x^3\,\sqrt{x+1}}{35}\right)}{x^4-4\,x^3+6\,x^2-4\,x+1}","Not used",1,"((1 - x)^(1/2)*((11*x*(x + 1)^(1/2))/35 + (6*(x + 1)^(1/2))/35 + (4*x^2*(x + 1)^(1/2))/35 - (x^3*(x + 1)^(1/2))/35))/(6*x^2 - 4*x - 4*x^3 + x^4 + 1)","B"
1085,1,80,61,0.318673,"\text{Not used}","int((x + 1)^(3/2)/(1 - x)^(11/2),x)","-\frac{\sqrt{1-x}\,\left(\frac{16\,x\,\sqrt{x+1}}{63}+\frac{47\,\sqrt{x+1}}{315}+\frac{x^2\,\sqrt{x+1}}{15}-\frac{2\,x^3\,\sqrt{x+1}}{63}+\frac{2\,x^4\,\sqrt{x+1}}{315}\right)}{x^5-5\,x^4+10\,x^3-10\,x^2+5\,x-1}","Not used",1,"-((1 - x)^(1/2)*((16*x*(x + 1)^(1/2))/63 + (47*(x + 1)^(1/2))/315 + (x^2*(x + 1)^(1/2))/15 - (2*x^3*(x + 1)^(1/2))/63 + (2*x^4*(x + 1)^(1/2))/315))/(5*x - 10*x^2 + 10*x^3 - 5*x^4 + x^5 - 1)","B"
1086,1,94,81,0.310365,"\text{Not used}","int((x + 1)^(3/2)/(1 - x)^(13/2),x)","\frac{\sqrt{1-x}\,\left(\frac{81\,x\,\sqrt{x+1}}{385}+\frac{152\,\sqrt{x+1}}{1155}+\frac{46\,x^2\,\sqrt{x+1}}{1155}-\frac{31\,x^3\,\sqrt{x+1}}{1155}+\frac{4\,x^4\,\sqrt{x+1}}{385}-\frac{2\,x^5\,\sqrt{x+1}}{1155}\right)}{x^6-6\,x^5+15\,x^4-20\,x^3+15\,x^2-6\,x+1}","Not used",1,"((1 - x)^(1/2)*((81*x*(x + 1)^(1/2))/385 + (152*(x + 1)^(1/2))/1155 + (46*x^2*(x + 1)^(1/2))/1155 - (31*x^3*(x + 1)^(1/2))/1155 + (4*x^4*(x + 1)^(1/2))/385 - (2*x^5*(x + 1)^(1/2))/1155))/(15*x^2 - 6*x - 20*x^3 + 15*x^4 - 6*x^5 + x^6 + 1)","B"
1087,1,110,101,0.328286,"\text{Not used}","int((x + 1)^(3/2)/(1 - x)^(15/2),x)","-\frac{\sqrt{1-x}\,\left(\frac{382\,x\,\sqrt{x+1}}{2145}+\frac{1763\,\sqrt{x+1}}{15015}+\frac{367\,x^2\,\sqrt{x+1}}{15015}-\frac{4\,x^3\,\sqrt{x+1}}{195}+\frac{172\,x^4\,\sqrt{x+1}}{15015}-\frac{8\,x^5\,\sqrt{x+1}}{2145}+\frac{8\,x^6\,\sqrt{x+1}}{15015}\right)}{x^7-7\,x^6+21\,x^5-35\,x^4+35\,x^3-21\,x^2+7\,x-1}","Not used",1,"-((1 - x)^(1/2)*((382*x*(x + 1)^(1/2))/2145 + (1763*(x + 1)^(1/2))/15015 + (367*x^2*(x + 1)^(1/2))/15015 - (4*x^3*(x + 1)^(1/2))/195 + (172*x^4*(x + 1)^(1/2))/15015 - (8*x^5*(x + 1)^(1/2))/2145 + (8*x^6*(x + 1)^(1/2))/15015))/(7*x - 21*x^2 + 35*x^3 - 35*x^4 + 21*x^5 - 7*x^6 + x^7 - 1)","B"
1088,0,-1,130,0.000000,"\text{Not used}","int((1 - x)^(11/2)*(x + 1)^(5/2),x)","\int {\left(1-x\right)}^{11/2}\,{\left(x+1\right)}^{5/2} \,d x","Not used",1,"int((1 - x)^(11/2)*(x + 1)^(5/2), x)","F"
1089,0,-1,110,0.000000,"\text{Not used}","int((1 - x)^(9/2)*(x + 1)^(5/2),x)","\int {\left(1-x\right)}^{9/2}\,{\left(x+1\right)}^{5/2} \,d x","Not used",1,"int((1 - x)^(9/2)*(x + 1)^(5/2), x)","F"
1090,0,-1,90,0.000000,"\text{Not used}","int((1 - x)^(7/2)*(x + 1)^(5/2),x)","\int {\left(1-x\right)}^{7/2}\,{\left(x+1\right)}^{5/2} \,d x","Not used",1,"int((1 - x)^(7/2)*(x + 1)^(5/2), x)","F"
1091,0,-1,70,0.000000,"\text{Not used}","int((1 - x)^(5/2)*(x + 1)^(5/2),x)","\int {\left(1-x\right)}^{5/2}\,{\left(x+1\right)}^{5/2} \,d x","Not used",1,"int((1 - x)^(5/2)*(x + 1)^(5/2), x)","F"
1092,0,-1,69,0.000000,"\text{Not used}","int((1 - x)^(3/2)*(x + 1)^(5/2),x)","\int {\left(1-x\right)}^{3/2}\,{\left(x+1\right)}^{5/2} \,d x","Not used",1,"int((1 - x)^(3/2)*(x + 1)^(5/2), x)","F"
1093,0,-1,68,0.000000,"\text{Not used}","int((1 - x)^(1/2)*(x + 1)^(5/2),x)","\int \sqrt{1-x}\,{\left(x+1\right)}^{5/2} \,d x","Not used",1,"int((1 - x)^(1/2)*(x + 1)^(5/2), x)","F"
1094,0,-1,67,0.000000,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(1/2),x)","\int \frac{{\left(x+1\right)}^{5/2}}{\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)^(5/2)/(1 - x)^(1/2), x)","F"
1095,0,-1,65,0.000000,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(3/2),x)","\int \frac{{\left(x+1\right)}^{5/2}}{{\left(1-x\right)}^{3/2}} \,d x","Not used",1,"int((x + 1)^(5/2)/(1 - x)^(3/2), x)","F"
1096,0,-1,63,0.000000,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(5/2),x)","\int \frac{{\left(x+1\right)}^{5/2}}{{\left(1-x\right)}^{5/2}} \,d x","Not used",1,"int((x + 1)^(5/2)/(1 - x)^(5/2), x)","F"
1097,0,-1,63,0.000000,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(7/2),x)","\int \frac{{\left(x+1\right)}^{5/2}}{{\left(1-x\right)}^{7/2}} \,d x","Not used",1,"int((x + 1)^(5/2)/(1 - x)^(7/2), x)","F"
1098,1,64,20,0.279264,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(9/2),x)","\frac{\sqrt{1-x}\,\left(\frac{3\,x\,\sqrt{x+1}}{7}+\frac{\sqrt{x+1}}{7}+\frac{3\,x^2\,\sqrt{x+1}}{7}+\frac{x^3\,\sqrt{x+1}}{7}\right)}{x^4-4\,x^3+6\,x^2-4\,x+1}","Not used",1,"((1 - x)^(1/2)*((3*x*(x + 1)^(1/2))/7 + (x + 1)^(1/2)/7 + (3*x^2*(x + 1)^(1/2))/7 + (x^3*(x + 1)^(1/2))/7))/(6*x^2 - 4*x - 4*x^3 + x^4 + 1)","B"
1099,1,80,41,0.303168,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(11/2),x)","-\frac{\sqrt{1-x}\,\left(\frac{23\,x\,\sqrt{x+1}}{63}+\frac{8\,\sqrt{x+1}}{63}+\frac{x^2\,\sqrt{x+1}}{3}+\frac{5\,x^3\,\sqrt{x+1}}{63}-\frac{x^4\,\sqrt{x+1}}{63}\right)}{x^5-5\,x^4+10\,x^3-10\,x^2+5\,x-1}","Not used",1,"-((1 - x)^(1/2)*((23*x*(x + 1)^(1/2))/63 + (8*(x + 1)^(1/2))/63 + (x^2*(x + 1)^(1/2))/3 + (5*x^3*(x + 1)^(1/2))/63 - (x^4*(x + 1)^(1/2))/63))/(5*x - 10*x^2 + 10*x^3 - 5*x^4 + x^5 - 1)","B"
1100,1,94,61,0.310243,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(13/2),x)","\frac{\sqrt{1-x}\,\left(\frac{73\,x\,\sqrt{x+1}}{231}+\frac{79\,\sqrt{x+1}}{693}+\frac{185\,x^2\,\sqrt{x+1}}{693}+\frac{31\,x^3\,\sqrt{x+1}}{693}-\frac{4\,x^4\,\sqrt{x+1}}{231}+\frac{2\,x^5\,\sqrt{x+1}}{693}\right)}{x^6-6\,x^5+15\,x^4-20\,x^3+15\,x^2-6\,x+1}","Not used",1,"((1 - x)^(1/2)*((73*x*(x + 1)^(1/2))/231 + (79*(x + 1)^(1/2))/693 + (185*x^2*(x + 1)^(1/2))/693 + (31*x^3*(x + 1)^(1/2))/693 - (4*x^4*(x + 1)^(1/2))/231 + (2*x^5*(x + 1)^(1/2))/693))/(15*x^2 - 6*x - 20*x^3 + 15*x^4 - 6*x^5 + x^6 + 1)","B"
1101,1,110,81,0.314799,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(15/2),x)","-\frac{\sqrt{1-x}\,\left(\frac{119\,x\,\sqrt{x+1}}{429}+\frac{310\,\sqrt{x+1}}{3003}+\frac{659\,x^2\,\sqrt{x+1}}{3003}+\frac{x^3\,\sqrt{x+1}}{39}-\frac{43\,x^4\,\sqrt{x+1}}{3003}+\frac{2\,x^5\,\sqrt{x+1}}{429}-\frac{2\,x^6\,\sqrt{x+1}}{3003}\right)}{x^7-7\,x^6+21\,x^5-35\,x^4+35\,x^3-21\,x^2+7\,x-1}","Not used",1,"-((1 - x)^(1/2)*((119*x*(x + 1)^(1/2))/429 + (310*(x + 1)^(1/2))/3003 + (659*x^2*(x + 1)^(1/2))/3003 + (x^3*(x + 1)^(1/2))/39 - (43*x^4*(x + 1)^(1/2))/3003 + (2*x^5*(x + 1)^(1/2))/429 - (2*x^6*(x + 1)^(1/2))/3003))/(7*x - 21*x^2 + 35*x^3 - 35*x^4 + 21*x^5 - 7*x^6 + x^7 - 1)","B"
1102,1,124,101,0.352364,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(17/2),x)","\frac{\sqrt{1-x}\,\left(\frac{11101\,x\,\sqrt{x+1}}{45045}+\frac{4243\,\sqrt{x+1}}{45045}+\frac{2771\,x^2\,\sqrt{x+1}}{15015}+\frac{15\,x^3\,\sqrt{x+1}}{1001}-\frac{32\,x^4\,\sqrt{x+1}}{3003}+\frac{76\,x^5\,\sqrt{x+1}}{15015}-\frac{64\,x^6\,\sqrt{x+1}}{45045}+\frac{8\,x^7\,\sqrt{x+1}}{45045}\right)}{x^8-8\,x^7+28\,x^6-56\,x^5+70\,x^4-56\,x^3+28\,x^2-8\,x+1}","Not used",1,"((1 - x)^(1/2)*((11101*x*(x + 1)^(1/2))/45045 + (4243*(x + 1)^(1/2))/45045 + (2771*x^2*(x + 1)^(1/2))/15015 + (15*x^3*(x + 1)^(1/2))/1001 - (32*x^4*(x + 1)^(1/2))/3003 + (76*x^5*(x + 1)^(1/2))/15015 - (64*x^6*(x + 1)^(1/2))/45045 + (8*x^7*(x + 1)^(1/2))/45045))/(28*x^2 - 8*x - 56*x^3 + 70*x^4 - 56*x^5 + 28*x^6 - 8*x^7 + x^8 + 1)","B"
1103,1,140,121,0.370113,"\text{Not used}","int((x + 1)^(5/2)/(1 - x)^(19/2),x)","-\frac{\sqrt{1-x}\,\left(\frac{3765\,x\,\sqrt{x+1}}{17017}+\frac{13252\,\sqrt{x+1}}{153153}+\frac{24239\,x^2\,\sqrt{x+1}}{153153}+\frac{457\,x^3\,\sqrt{x+1}}{51051}-\frac{5\,x^4\,\sqrt{x+1}}{663}+\frac{236\,x^5\,\sqrt{x+1}}{51051}-\frac{292\,x^6\,\sqrt{x+1}}{153153}+\frac{8\,x^7\,\sqrt{x+1}}{17017}-\frac{8\,x^8\,\sqrt{x+1}}{153153}\right)}{x^9-9\,x^8+36\,x^7-84\,x^6+126\,x^5-126\,x^4+84\,x^3-36\,x^2+9\,x-1}","Not used",1,"-((1 - x)^(1/2)*((3765*x*(x + 1)^(1/2))/17017 + (13252*(x + 1)^(1/2))/153153 + (24239*x^2*(x + 1)^(1/2))/153153 + (457*x^3*(x + 1)^(1/2))/51051 - (5*x^4*(x + 1)^(1/2))/663 + (236*x^5*(x + 1)^(1/2))/51051 - (292*x^6*(x + 1)^(1/2))/153153 + (8*x^7*(x + 1)^(1/2))/17017 - (8*x^8*(x + 1)^(1/2))/153153))/(9*x - 36*x^2 + 84*x^3 - 126*x^4 + 126*x^5 - 84*x^6 + 36*x^7 - 9*x^8 + x^9 - 1)","B"
1104,0,-1,64,0.000000,"\text{Not used}","int((a*x + 1)^(3/2)/(1 - a*x)^(1/2),x)","\int \frac{{\left(a\,x+1\right)}^{3/2}}{\sqrt{1-a\,x}} \,d x","Not used",1,"int((a*x + 1)^(3/2)/(1 - a*x)^(1/2), x)","F"
1105,1,55,62,0.150633,"\text{Not used}","int(-((1 - a^2*x^2)^(1/2)*(a*x + 1))/(a*x - 1),x)","\frac{\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2}+\sqrt{1-a^2\,x^2}\,\left(\frac{2\,a}{\sqrt{-a^2}}-\frac{x\,\sqrt{-a^2}}{2}\right)}{\sqrt{-a^2}}","Not used",1,"((3*asinh(x*(-a^2)^(1/2)))/2 + (1 - a^2*x^2)^(1/2)*((2*a)/(-a^2)^(1/2) - (x*(-a^2)^(1/2))/2))/(-a^2)^(1/2)","B"
1106,0,-1,87,0.000000,"\text{Not used}","int((1 - x)^(7/2)/(x + 1)^(1/2),x)","\int \frac{{\left(1-x\right)}^{7/2}}{\sqrt{x+1}} \,d x","Not used",1,"int((1 - x)^(7/2)/(x + 1)^(1/2), x)","F"
1107,0,-1,67,0.000000,"\text{Not used}","int((1 - x)^(5/2)/(x + 1)^(1/2),x)","\int \frac{{\left(1-x\right)}^{5/2}}{\sqrt{x+1}} \,d x","Not used",1,"int((1 - x)^(5/2)/(x + 1)^(1/2), x)","F"
1108,0,-1,47,0.000000,"\text{Not used}","int((1 - x)^(3/2)/(x + 1)^(1/2),x)","\int \frac{{\left(1-x\right)}^{3/2}}{\sqrt{x+1}} \,d x","Not used",1,"int((1 - x)^(3/2)/(x + 1)^(1/2), x)","F"
1109,1,12,20,0.118813,"\text{Not used}","int((1 - x)^(1/2)/(x + 1)^(1/2),x)","\mathrm{asin}\left(x\right)+\sqrt{1-x^2}","Not used",1,"asin(x) + (1 - x^2)^(1/2)","B"
1110,1,22,2,0.077730,"\text{Not used}","int(1/((1 - x)^(1/2)*(x + 1)^(1/2)),x)","-4\,\mathrm{atan}\left(\frac{\sqrt{1-x}-1}{\sqrt{x+1}-1}\right)","Not used",1,"-4*atan(((1 - x)^(1/2) - 1)/((x + 1)^(1/2) - 1))","B"
1111,1,13,17,0.283186,"\text{Not used}","int(1/((1 - x)^(3/2)*(x + 1)^(1/2)),x)","\frac{\sqrt{x+1}}{\sqrt{1-x}}","Not used",1,"(x + 1)^(1/2)/(1 - x)^(1/2)","B"
1112,1,43,41,0.308757,"\text{Not used}","int(1/((1 - x)^(5/2)*(x + 1)^(1/2)),x)","\frac{x\,\sqrt{1-x}+2\,\sqrt{1-x}-x^2\,\sqrt{1-x}}{3\,{\left(x-1\right)}^2\,\sqrt{x+1}}","Not used",1,"(x*(1 - x)^(1/2) + 2*(1 - x)^(1/2) - x^2*(1 - x)^(1/2))/(3*(x - 1)^2*(x + 1)^(1/2))","B"
1113,1,55,61,0.324104,"\text{Not used}","int(1/((1 - x)^(7/2)*(x + 1)^(1/2)),x)","-\frac{x\,\sqrt{1-x}+7\,\sqrt{1-x}-4\,x^2\,\sqrt{1-x}+2\,x^3\,\sqrt{1-x}}{15\,{\left(x-1\right)}^3\,\sqrt{x+1}}","Not used",1,"-(x*(1 - x)^(1/2) + 7*(1 - x)^(1/2) - 4*x^2*(1 - x)^(1/2) + 2*x^3*(1 - x)^(1/2))/(15*(x - 1)^3*(x + 1)^(1/2))","B"
1114,1,67,81,0.344510,"\text{Not used}","int(1/((1 - x)^(9/2)*(x + 1)^(1/2)),x)","-\frac{x\,\sqrt{1-x}-12\,\sqrt{1-x}+5\,x^2\,\sqrt{1-x}-6\,x^3\,\sqrt{1-x}+2\,x^4\,\sqrt{1-x}}{35\,{\left(x-1\right)}^4\,\sqrt{x+1}}","Not used",1,"-(x*(1 - x)^(1/2) - 12*(1 - x)^(1/2) + 5*x^2*(1 - x)^(1/2) - 6*x^3*(1 - x)^(1/2) + 2*x^4*(1 - x)^(1/2))/(35*(x - 1)^4*(x + 1)^(1/2))","B"
1115,1,80,101,0.362712,"\text{Not used}","int(1/((1 - x)^(11/2)*(x + 1)^(1/2)),x)","\frac{17\,x\,\sqrt{1-x}-83\,\sqrt{1-x}+16\,x^2\,\sqrt{1-x}-44\,x^3\,\sqrt{1-x}+32\,x^4\,\sqrt{1-x}-8\,x^5\,\sqrt{1-x}}{315\,{\left(x-1\right)}^5\,\sqrt{x+1}}","Not used",1,"(17*x*(1 - x)^(1/2) - 83*(1 - x)^(1/2) + 16*x^2*(1 - x)^(1/2) - 44*x^3*(1 - x)^(1/2) + 32*x^4*(1 - x)^(1/2) - 8*x^5*(1 - x)^(1/2))/(315*(x - 1)^5*(x + 1)^(1/2))","B"
1116,0,-1,85,0.000000,"\text{Not used}","int((1 - x)^(7/2)/(x + 1)^(3/2),x)","\int \frac{{\left(1-x\right)}^{7/2}}{{\left(x+1\right)}^{3/2}} \,d x","Not used",1,"int((1 - x)^(7/2)/(x + 1)^(3/2), x)","F"
1117,0,-1,65,0.000000,"\text{Not used}","int((1 - x)^(5/2)/(x + 1)^(3/2),x)","\int \frac{{\left(1-x\right)}^{5/2}}{{\left(x+1\right)}^{3/2}} \,d x","Not used",1,"int((1 - x)^(5/2)/(x + 1)^(3/2), x)","F"
1118,0,-1,41,0.000000,"\text{Not used}","int((1 - x)^(3/2)/(x + 1)^(3/2),x)","\int \frac{{\left(1-x\right)}^{3/2}}{{\left(x+1\right)}^{3/2}} \,d x","Not used",1,"int((1 - x)^(3/2)/(x + 1)^(3/2), x)","F"
1119,0,-1,23,0.000000,"\text{Not used}","int((1 - x)^(1/2)/(x + 1)^(3/2),x)","\int \frac{\sqrt{1-x}}{{\left(x+1\right)}^{3/2}} \,d x","Not used",1,"int((1 - x)^(1/2)/(x + 1)^(3/2), x)","F"
1120,1,14,18,0.360483,"\text{Not used}","int(1/((1 - x)^(1/2)*(x + 1)^(3/2)),x)","-\frac{\sqrt{1-x}}{\sqrt{x+1}}","Not used",1,"-(1 - x)^(1/2)/(x + 1)^(1/2)","B"
1121,1,14,18,0.305188,"\text{Not used}","int(1/((1 - x)^(3/2)*(x + 1)^(3/2)),x)","\frac{x}{\sqrt{1-x}\,\sqrt{x+1}}","Not used",1,"x/((1 - x)^(1/2)*(x + 1)^(1/2))","B"
1122,1,42,42,0.322257,"\text{Not used}","int(1/((1 - x)^(5/2)*(x + 1)^(3/2)),x)","\frac{2\,x\,\sqrt{1-x}+\sqrt{1-x}-2\,x^2\,\sqrt{1-x}}{3\,{\left(x-1\right)}^2\,\sqrt{x+1}}","Not used",1,"(2*x*(1 - x)^(1/2) + (1 - x)^(1/2) - 2*x^2*(1 - x)^(1/2))/(3*(x - 1)^2*(x + 1)^(1/2))","B"
1123,1,55,62,0.336606,"\text{Not used}","int(1/((1 - x)^(7/2)*(x + 1)^(3/2)),x)","-\frac{x\,\sqrt{1-x}+2\,\sqrt{1-x}-4\,x^2\,\sqrt{1-x}+2\,x^3\,\sqrt{1-x}}{5\,{\left(x-1\right)}^3\,\sqrt{x+1}}","Not used",1,"-(x*(1 - x)^(1/2) + 2*(1 - x)^(1/2) - 4*x^2*(1 - x)^(1/2) + 2*x^3*(1 - x)^(1/2))/(5*(x - 1)^3*(x + 1)^(1/2))","B"
1124,1,68,82,0.355341,"\text{Not used}","int(1/((1 - x)^(9/2)*(x + 1)^(3/2)),x)","-\frac{4\,x\,\sqrt{1-x}-13\,\sqrt{1-x}+20\,x^2\,\sqrt{1-x}-24\,x^3\,\sqrt{1-x}+8\,x^4\,\sqrt{1-x}}{35\,{\left(x-1\right)}^4\,\sqrt{x+1}}","Not used",1,"-(4*x*(1 - x)^(1/2) - 13*(1 - x)^(1/2) + 20*x^2*(1 - x)^(1/2) - 24*x^3*(1 - x)^(1/2) + 8*x^4*(1 - x)^(1/2))/(35*(x - 1)^4*(x + 1)^(1/2))","B"
1125,1,80,102,0.363406,"\text{Not used}","int(1/((1 - x)^(11/2)*(x + 1)^(3/2)),x)","\frac{17\,x\,\sqrt{1-x}-20\,\sqrt{1-x}+16\,x^2\,\sqrt{1-x}-44\,x^3\,\sqrt{1-x}+32\,x^4\,\sqrt{1-x}-8\,x^5\,\sqrt{1-x}}{63\,{\left(x-1\right)}^5\,\sqrt{x+1}}","Not used",1,"(17*x*(1 - x)^(1/2) - 20*(1 - x)^(1/2) + 16*x^2*(1 - x)^(1/2) - 44*x^3*(1 - x)^(1/2) + 32*x^4*(1 - x)^(1/2) - 8*x^5*(1 - x)^(1/2))/(63*(x - 1)^5*(x + 1)^(1/2))","B"
1126,0,-1,103,0.000000,"\text{Not used}","int((1 - x)^(9/2)/(x + 1)^(5/2),x)","\int \frac{{\left(1-x\right)}^{9/2}}{{\left(x+1\right)}^{5/2}} \,d x","Not used",1,"int((1 - x)^(9/2)/(x + 1)^(5/2), x)","F"
1127,0,-1,87,0.000000,"\text{Not used}","int((1 - x)^(7/2)/(x + 1)^(5/2),x)","\int \frac{{\left(1-x\right)}^{7/2}}{{\left(x+1\right)}^{5/2}} \,d x","Not used",1,"int((1 - x)^(7/2)/(x + 1)^(5/2), x)","F"
1128,0,-1,63,0.000000,"\text{Not used}","int((1 - x)^(5/2)/(x + 1)^(5/2),x)","\int \frac{{\left(1-x\right)}^{5/2}}{{\left(x+1\right)}^{5/2}} \,d x","Not used",1,"int((1 - x)^(5/2)/(x + 1)^(5/2), x)","F"
1129,0,-1,41,0.000000,"\text{Not used}","int((1 - x)^(3/2)/(x + 1)^(5/2),x)","\int \frac{{\left(1-x\right)}^{3/2}}{{\left(x+1\right)}^{5/2}} \,d x","Not used",1,"int((1 - x)^(3/2)/(x + 1)^(5/2), x)","F"
1130,1,32,20,0.262989,"\text{Not used}","int((1 - x)^(1/2)/(x + 1)^(5/2),x)","\frac{x\,\sqrt{1-x}-\sqrt{1-x}}{\left(3\,x+3\right)\,\sqrt{x+1}}","Not used",1,"(x*(1 - x)^(1/2) - (1 - x)^(1/2))/((3*x + 3)*(x + 1)^(1/2))","B"
1131,1,33,41,0.310463,"\text{Not used}","int(1/((1 - x)^(1/2)*(x + 1)^(5/2)),x)","-\frac{x\,\sqrt{1-x}+2\,\sqrt{1-x}}{\left(3\,x+3\right)\,\sqrt{x+1}}","Not used",1,"-(x*(1 - x)^(1/2) + 2*(1 - x)^(1/2))/((3*x + 3)*(x + 1)^(1/2))","B"
1132,1,48,58,0.338150,"\text{Not used}","int(1/((1 - x)^(3/2)*(x + 1)^(5/2)),x)","-\frac{2\,x\,\sqrt{1-x}-\sqrt{1-x}+2\,x^2\,\sqrt{1-x}}{\left(3\,x^2-3\right)\,\sqrt{x+1}}","Not used",1,"-(2*x*(1 - x)^(1/2) - (1 - x)^(1/2) + 2*x^2*(1 - x)^(1/2))/((3*x^2 - 3)*(x + 1)^(1/2))","B"
1133,1,41,43,0.365278,"\text{Not used}","int(1/((1 - x)^(5/2)*(x + 1)^(5/2)),x)","\frac{3\,x\,\sqrt{1-x}-2\,x^3\,\sqrt{1-x}}{\left(3\,x+3\right)\,{\left(x-1\right)}^2\,\sqrt{x+1}}","Not used",1,"(3*x*(1 - x)^(1/2) - 2*x^3*(1 - x)^(1/2))/((3*x + 3)*(x - 1)^2*(x + 1)^(1/2))","B"
1134,1,75,63,0.377421,"\text{Not used}","int(1/((1 - x)^(7/2)*(x + 1)^(5/2)),x)","-\frac{12\,x\,\sqrt{1-x}+3\,\sqrt{1-x}-12\,x^2\,\sqrt{1-x}-8\,x^3\,\sqrt{1-x}+8\,x^4\,\sqrt{1-x}}{\left(15\,x+15\right)\,{\left(x-1\right)}^3\,\sqrt{x+1}}","Not used",1,"-(12*x*(1 - x)^(1/2) + 3*(1 - x)^(1/2) - 12*x^2*(1 - x)^(1/2) - 8*x^3*(1 - x)^(1/2) + 8*x^4*(1 - x)^(1/2))/((15*x + 15)*(x - 1)^3*(x + 1)^(1/2))","B"
1135,1,86,83,0.413001,"\text{Not used}","int(1/((1 - x)^(9/2)*(x + 1)^(5/2)),x)","\frac{9\,x\,\sqrt{1-x}+6\,\sqrt{1-x}-24\,x^2\,\sqrt{1-x}+4\,x^3\,\sqrt{1-x}+16\,x^4\,\sqrt{1-x}-8\,x^5\,\sqrt{1-x}}{\left(21\,x+21\right)\,{\left(x-1\right)}^4\,\sqrt{x+1}}","Not used",1,"(9*x*(1 - x)^(1/2) + 6*(1 - x)^(1/2) - 24*x^2*(1 - x)^(1/2) + 4*x^3*(1 - x)^(1/2) + 16*x^4*(1 - x)^(1/2) - 8*x^5*(1 - x)^(1/2))/((21*x + 21)*(x - 1)^4*(x + 1)^(1/2))","B"
1136,1,99,103,0.422541,"\text{Not used}","int(1/((1 - x)^(11/2)*(x + 1)^(5/2)),x)","-\frac{6\,x\,\sqrt{1-x}+19\,\sqrt{1-x}-66\,x^2\,\sqrt{1-x}+56\,x^3\,\sqrt{1-x}+24\,x^4\,\sqrt{1-x}-48\,x^5\,\sqrt{1-x}+16\,x^6\,\sqrt{1-x}}{\left(63\,x+63\right)\,{\left(x-1\right)}^5\,\sqrt{x+1}}","Not used",1,"-(6*x*(1 - x)^(1/2) + 19*(1 - x)^(1/2) - 66*x^2*(1 - x)^(1/2) + 56*x^3*(1 - x)^(1/2) + 24*x^4*(1 - x)^(1/2) - 48*x^5*(1 - x)^(1/2) + 16*x^6*(1 - x)^(1/2))/((63*x + 63)*(x - 1)^5*(x + 1)^(1/2))","B"
1137,0,-1,126,0.000000,"\text{Not used}","int((a + a*x)^(5/2)*(c - c*x)^(5/2),x)","\int {\left(a+a\,x\right)}^{5/2}\,{\left(c-c\,x\right)}^{5/2} \,d x","Not used",1,"int((a + a*x)^(5/2)*(c - c*x)^(5/2), x)","F"
1138,0,-1,96,0.000000,"\text{Not used}","int((a + a*x)^(3/2)*(c - c*x)^(3/2),x)","\int {\left(a+a\,x\right)}^{3/2}\,{\left(c-c\,x\right)}^{3/2} \,d x","Not used",1,"int((a + a*x)^(3/2)*(c - c*x)^(3/2), x)","F"
1139,1,59,67,0.299982,"\text{Not used}","int((a + a*x)^(1/2)*(c - c*x)^(1/2),x)","\frac{x\,\sqrt{a+a\,x}\,\sqrt{c-c\,x}}{2}-\frac{\sqrt{a}\,\sqrt{-c}\,\ln\left(\sqrt{-c}\,\sqrt{a\,\left(x+1\right)}\,\sqrt{-c\,\left(x-1\right)}-\sqrt{a}\,c\,x\right)}{2}","Not used",1,"(x*(a + a*x)^(1/2)*(c - c*x)^(1/2))/2 - (a^(1/2)*(-c)^(1/2)*log((-c)^(1/2)*(a*(x + 1))^(1/2)*(-c*(x - 1))^(1/2) - a^(1/2)*c*x))/2","B"
1140,1,44,43,0.175061,"\text{Not used}","int(1/((a + a*x)^(1/2)*(c - c*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{a\,\left(\sqrt{c-c\,x}-\sqrt{c}\right)}{\sqrt{a\,c}\,\left(\sqrt{a+a\,x}-\sqrt{a}\right)}\right)}{\sqrt{a\,c}}","Not used",1,"-(4*atan((a*((c - c*x)^(1/2) - c^(1/2)))/((a*c)^(1/2)*((a + a*x)^(1/2) - a^(1/2)))))/(a*c)^(1/2)","B"
1141,1,23,27,0.391351,"\text{Not used}","int(1/((a + a*x)^(3/2)*(c - c*x)^(3/2)),x)","\frac{x}{a\,c\,\sqrt{a+a\,x}\,\sqrt{c-c\,x}}","Not used",1,"x/(a*c*(a + a*x)^(1/2)*(c - c*x)^(1/2))","B"
1142,1,62,61,0.414572,"\text{Not used}","int(1/((a + a*x)^(5/2)*(c - c*x)^(5/2)),x)","-\frac{3\,x\,\sqrt{c-c\,x}-2\,x^3\,\sqrt{c-c\,x}}{\sqrt{a+a\,x}\,{\left(c-c\,x\right)}^2\,\left(3\,a^2\,\left(c-c\,x\right)-6\,a^2\,c\right)}","Not used",1,"-(3*x*(c - c*x)^(1/2) - 2*x^3*(c - c*x)^(1/2))/((a + a*x)^(1/2)*(c - c*x)^2*(3*a^2*(c - c*x) - 6*a^2*c))","B"
1143,1,50,91,0.441654,"\text{Not used}","int(1/((a + a*x)^(7/2)*(c - c*x)^(7/2)),x)","\frac{x\,\left(8\,x^4-20\,x^2+15\right)}{15\,a^3\,\sqrt{a+a\,x}\,{\left(c-c\,x\right)}^{5/2}\,\left(c+3\,c\,x-x\,\left(c-c\,x\right)\right)}","Not used",1,"(x*(8*x^4 - 20*x^2 + 15))/(15*a^3*(a + a*x)^(1/2)*(c - c*x)^(5/2)*(c + 3*c*x - x*(c - c*x)))","B"
1144,1,66,121,0.477588,"\text{Not used}","int(1/((a + a*x)^(9/2)*(c - c*x)^(9/2)),x)","-\frac{x\,\left(16\,x^6-56\,x^4+70\,x^2-35\right)}{35\,a^4\,\sqrt{a+a\,x}\,{\left(c-c\,x\right)}^{7/2}\,\left(c-x^2\,\left(c-c\,x\right)+7\,c\,x-4\,x\,\left(c-c\,x\right)\right)}","Not used",1,"-(x*(70*x^2 - 56*x^4 + 16*x^6 - 35))/(35*a^4*(a + a*x)^(1/2)*(c - c*x)^(7/2)*(c - x^2*(c - c*x) + 7*c*x - 4*x*(c - c*x)))","B"
1145,0,-1,135,0.000000,"\text{Not used}","int((a*c - b*c*x)^(5/2)*(a + b*x)^(5/2),x)","\int {\left(a\,c-b\,c\,x\right)}^{5/2}\,{\left(a+b\,x\right)}^{5/2} \,d x","Not used",1,"int((a*c - b*c*x)^(5/2)*(a + b*x)^(5/2), x)","F"
1146,0,-1,102,0.000000,"\text{Not used}","int((a*c - b*c*x)^(3/2)*(a + b*x)^(3/2),x)","\int {\left(a\,c-b\,c\,x\right)}^{3/2}\,{\left(a+b\,x\right)}^{3/2} \,d x","Not used",1,"int((a*c - b*c*x)^(3/2)*(a + b*x)^(3/2), x)","F"
1147,1,72,68,0.202834,"\text{Not used}","int((a*c - b*c*x)^(1/2)*(a + b*x)^(1/2),x)","\frac{x\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}{2}-\frac{a^2\,\sqrt{b}\,c^2\,\ln\left(\sqrt{-b\,c}\,\sqrt{c\,\left(a-b\,x\right)}\,\sqrt{a+b\,x}-b^{3/2}\,c\,x\right)}{2\,{\left(-b\,c\right)}^{3/2}}","Not used",1,"(x*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))/2 - (a^2*b^(1/2)*c^2*log((-b*c)^(1/2)*(c*(a - b*x))^(1/2)*(a + b*x)^(1/2) - b^(3/2)*c*x))/(2*(-b*c)^(3/2))","B"
1148,1,53,38,0.176667,"\text{Not used}","int(1/((a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{b^2\,c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{\sqrt{b^2\,c}}","Not used",1,"-(4*atan((b*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((b^2*c)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(b^2*c)^(1/2)","B"
1149,1,26,30,0.496674,"\text{Not used}","int(1/((a*c - b*c*x)^(3/2)*(a + b*x)^(3/2)),x)","\frac{x}{a^2\,c\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}","Not used",1,"x/(a^2*c*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))","B"
1150,1,80,67,0.583737,"\text{Not used}","int(1/((a*c - b*c*x)^(5/2)*(a + b*x)^(5/2)),x)","-\frac{3\,a^2\,x\,\sqrt{a\,c-b\,c\,x}-2\,b^2\,x^3\,\sqrt{a\,c-b\,c\,x}}{{\left(a\,c-b\,c\,x\right)}^2\,\left(3\,a^4\,\left(a\,c-b\,c\,x\right)-6\,a^5\,c\right)\,\sqrt{a+b\,x}}","Not used",1,"-(3*a^2*x*(a*c - b*c*x)^(1/2) - 2*b^2*x^3*(a*c - b*c*x)^(1/2))/((a*c - b*c*x)^2*(3*a^4*(a*c - b*c*x) - 6*a^5*c)*(a + b*x)^(1/2))","B"
1151,1,111,100,0.649547,"\text{Not used}","int(1/((a*c - b*c*x)^(7/2)*(a + b*x)^(7/2)),x)","\frac{15\,a^4\,x\,\sqrt{a\,c-b\,c\,x}+8\,b^4\,x^5\,\sqrt{a\,c-b\,c\,x}-20\,a^2\,b^2\,x^3\,\sqrt{a\,c-b\,c\,x}}{{\left(a\,c-b\,c\,x\right)}^3\,\left(60\,a^8\,c-\left(a\,c-b\,c\,x\right)\,\left(45\,a^7+15\,b\,x\,a^6\right)\right)\,\sqrt{a+b\,x}}","Not used",1,"(15*a^4*x*(a*c - b*c*x)^(1/2) + 8*b^4*x^5*(a*c - b*c*x)^(1/2) - 20*a^2*b^2*x^3*(a*c - b*c*x)^(1/2))/((a*c - b*c*x)^3*(60*a^8*c - (a*c - b*c*x)*(45*a^7 + 15*a^6*b*x))*(a + b*x)^(1/2))","B"
1152,1,170,133,0.714371,"\text{Not used}","int(1/((a*c - b*c*x)^(9/2)*(a + b*x)^(9/2)),x)","-\frac{35\,a^6\,x\,\sqrt{a\,c-b\,c\,x}-16\,b^6\,x^7\,\sqrt{a\,c-b\,c\,x}-70\,a^4\,b^2\,x^3\,\sqrt{a\,c-b\,c\,x}+56\,a^2\,b^4\,x^5\,\sqrt{a\,c-b\,c\,x}}{\left(\left(70\,a^9\,{\left(a\,c-b\,c\,x\right)}^5+35\,a^8\,{\left(a\,c-b\,c\,x\right)}^5\,\left(a+b\,x\right)\right)\,\left(a+b\,x\right)+{\left(a\,c-b\,c\,x\right)}^4\,\left(140\,a^{10}\,\left(a\,c-b\,c\,x\right)-280\,a^{11}\,c\right)\right)\,\sqrt{a+b\,x}}","Not used",1,"-(35*a^6*x*(a*c - b*c*x)^(1/2) - 16*b^6*x^7*(a*c - b*c*x)^(1/2) - 70*a^4*b^2*x^3*(a*c - b*c*x)^(1/2) + 56*a^2*b^4*x^5*(a*c - b*c*x)^(1/2))/(((70*a^9*(a*c - b*c*x)^5 + 35*a^8*(a*c - b*c*x)^5*(a + b*x))*(a + b*x) + (a*c - b*c*x)^4*(140*a^10*(a*c - b*c*x) - 280*a^11*c))*(a + b*x)^(1/2))","B"
1153,0,-1,100,0.000000,"\text{Not used}","int((4*x + 2)^(5/2)*(3 - 6*x)^(5/2),x)","\int {\left(4\,x+2\right)}^{5/2}\,{\left(3-6\,x\right)}^{5/2} \,d x","Not used",1,"int((4*x + 2)^(5/2)*(3 - 6*x)^(5/2), x)","F"
1154,0,-1,74,0.000000,"\text{Not used}","int((4*x + 2)^(3/2)*(3 - 6*x)^(3/2),x)","\int {\left(4\,x+2\right)}^{3/2}\,{\left(3-6\,x\right)}^{3/2} \,d x","Not used",1,"int((4*x + 2)^(3/2)*(3 - 6*x)^(3/2), x)","F"
1155,1,44,43,0.256259,"\text{Not used}","int((4*x + 2)^(1/2)*(3 - 6*x)^(1/2),x)","\frac{x\,\sqrt{4\,x+2}\,\sqrt{3-6\,x}}{2}-\frac{\sqrt{6}\,\ln\left(x-\frac{\sqrt{1-2\,x}\,\sqrt{2\,x+1}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{4}","Not used",1,"(x*(4*x + 2)^(1/2)*(3 - 6*x)^(1/2))/2 - (6^(1/2)*log(x - ((1 - 2*x)^(1/2)*(2*x + 1)^(1/2)*1i)/2)*1i)/4","B"
1156,1,40,13,0.051146,"\text{Not used}","int(1/((4*x + 2)^(1/2)*(3 - 6*x)^(1/2)),x)","-\frac{\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{24}\,\left(\sqrt{3}-\sqrt{3-6\,x}\right)}{6\,\left(\sqrt{2}-\sqrt{4\,x+2}\right)}\right)}{3}","Not used",1,"-(6^(1/2)*atan((24^(1/2)*(3^(1/2) - (3 - 6*x)^(1/2)))/(6*(2^(1/2) - (4*x + 2)^(1/2)))))/3","B"
1157,1,24,28,0.461166,"\text{Not used}","int(1/((4*x + 2)^(3/2)*(3 - 6*x)^(3/2)),x)","-\frac{x\,\sqrt{3-6\,x}}{\sqrt{4\,x+2}\,\left(36\,x-18\right)}","Not used",1,"-(x*(3 - 6*x)^(1/2))/((4*x + 2)^(1/2)*(36*x - 18))","B"
1158,1,49,57,0.310502,"\text{Not used}","int(1/((4*x + 2)^(5/2)*(3 - 6*x)^(5/2)),x)","-\frac{3\,x\,\sqrt{3-6\,x}-8\,x^3\,\sqrt{3-6\,x}}{\sqrt{4\,x+2}\,\left(-2592\,x^3+1296\,x^2+648\,x-324\right)}","Not used",1,"-(3*x*(3 - 6*x)^(1/2) - 8*x^3*(3 - 6*x)^(1/2))/((4*x + 2)^(1/2)*(648*x + 1296*x^2 - 2592*x^3 - 324))","B"
1159,1,66,85,0.452115,"\text{Not used}","int(1/((4*x + 2)^(7/2)*(3 - 6*x)^(7/2)),x)","-\frac{15\,x\,\sqrt{3-6\,x}-80\,x^3\,\sqrt{3-6\,x}+128\,x^5\,\sqrt{3-6\,x}}{\left(\left(6\,x-3\right)\,\left(240\,x+360\right)+1440\right)\,\sqrt{4\,x+2}\,{\left(6\,x-3\right)}^3}","Not used",1,"-(15*x*(3 - 6*x)^(1/2) - 80*x^3*(3 - 6*x)^(1/2) + 128*x^5*(3 - 6*x)^(1/2))/(((6*x - 3)*(240*x + 360) + 1440)*(4*x + 2)^(1/2)*(6*x - 3)^3)","B"
1160,0,-1,91,0.000000,"\text{Not used}","int((x - 2)^(3/2)*(3 - x)^(3/2),x)","\int {\left(x-2\right)}^{3/2}\,{\left(3-x\right)}^{3/2} \,d x","Not used",1,"int((x - 2)^(3/2)*(3 - x)^(3/2), x)","F"
1161,1,41,51,0.206555,"\text{Not used}","int((x - 2)^(1/2)*(3 - x)^(1/2),x)","\left(\frac{x}{2}-\frac{5}{4}\right)\,\sqrt{x-2}\,\sqrt{3-x}-\frac{\ln\left(x-\frac{5}{2}-\sqrt{x-2}\,\sqrt{3-x}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8}","Not used",1,"(x/2 - 5/4)*(x - 2)^(1/2)*(3 - x)^(1/2) - (log(x - (x - 2)^(1/2)*(3 - x)^(1/2)*1i - 5/2)*1i)/8","B"
1162,1,31,8,0.177905,"\text{Not used}","int(1/((x - 2)^(1/2)*(3 - x)^(1/2)),x)","-4\,\mathrm{atan}\left(\frac{\sqrt{x-2}-\sqrt{2}\,1{}\mathrm{i}}{\sqrt{3}-\sqrt{3-x}}\right)","Not used",1,"-4*atan(((x - 2)^(1/2) - 2^(1/2)*1i)/(3^(1/2) - (3 - x)^(1/2)))","B"
1163,1,32,37,0.254515,"\text{Not used}","int(1/((x - 2)^(3/2)*(3 - x)^(3/2)),x)","-\frac{4\,x\,\sqrt{3-x}-10\,\sqrt{3-x}}{\sqrt{x-2}\,\left(x-3\right)}","Not used",1,"-(4*x*(3 - x)^(1/2) - 10*(3 - x)^(1/2))/((x - 2)^(1/2)*(x - 3))","B"
1164,1,69,79,0.370133,"\text{Not used}","int(1/((x - 2)^(5/2)*(3 - x)^(5/2)),x)","-\frac{32\,{\left(x-2\right)}^3\,\sqrt{3-x}-48\,{\left(x-2\right)}^2\,\sqrt{3-x}+2\,\sqrt{3-x}+12\,\left(x-2\right)\,\sqrt{3-x}}{\left(3\,x-6\right)\,\sqrt{x-2}\,{\left(x-3\right)}^2}","Not used",1,"-(32*(x - 2)^3*(3 - x)^(1/2) - 48*(x - 2)^2*(3 - x)^(1/2) + 2*(3 - x)^(1/2) + 12*(x - 2)*(3 - x)^(1/2))/((3*x - 6)*(x - 2)^(1/2)*(x - 3)^2)","B"
1165,1,22,21,0.364148,"\text{Not used}","int(1/((3 - x)^(3/2)*(x + 3)^(3/2)),x)","-\frac{x\,\sqrt{3-x}}{\left(9\,x-27\right)\,\sqrt{x+3}}","Not used",1,"-(x*(3 - x)^(1/2))/((9*x - 27)*(x + 3)^(1/2))","B"
1166,1,26,24,0.462647,"\text{Not used}","int(1/((3 - b*x)^(3/2)*(b*x + 3)^(3/2)),x)","-\frac{x\,\sqrt{3-b\,x}}{\sqrt{b\,x+3}\,\left(9\,b\,x-27\right)}","Not used",1,"-(x*(3 - b*x)^(1/2))/((b*x + 3)^(1/2)*(9*b*x - 27))","B"
1167,1,22,26,0.374061,"\text{Not used}","int(1/((6 - 2*x)^(3/2)*(x + 3)^(3/2)),x)","-\frac{x\,\sqrt{6-2\,x}}{\left(36\,x-108\right)\,\sqrt{x+3}}","Not used",1,"-(x*(6 - 2*x)^(1/2))/((36*x - 108)*(x + 3)^(1/2))","B"
1168,1,26,29,0.320984,"\text{Not used}","int(1/((b*x + 3)^(3/2)*(6 - 2*b*x)^(3/2)),x)","-\frac{x\,\sqrt{6-2\,b\,x}}{\sqrt{b\,x+3}\,\left(36\,b\,x-108\right)}","Not used",1,"-(x*(6 - 2*b*x)^(1/2))/((b*x + 3)^(1/2)*(36*b*x - 108))","B"
1169,1,56,39,0.218158,"\text{Not used}","int(1/((b*d*x - a*d)^(1/2)*(a + b*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{b\,d\,x-a\,d}-\sqrt{-a\,d}\right)}{\sqrt{-b^2\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{\sqrt{-b^2\,d}}","Not used",1,"-(4*atan((b*((b*d*x - a*d)^(1/2) - (-a*d)^(1/2)))/((-b^2*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(-b^2*d)^(1/2)","B"
1170,0,-1,241,0.000000,"\text{Not used}","int(1/((e*x + 2)^(3/4)*(6 - 3*e*x)^(1/4)),x)","\int \frac{1}{{\left(e\,x+2\right)}^{3/4}\,{\left(6-3\,e\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((e*x + 2)^(3/4)*(6 - 3*e*x)^(1/4)), x)","F"
1171,0,-1,144,0.000000,"\text{Not used}","int((a - a*x*1i)^(7/4)/(a + a*x*1i)^(1/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{7/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{1/4}} \,d x","Not used",1,"int((a - a*x*1i)^(7/4)/(a + a*x*1i)^(1/4), x)","F"
1172,0,-1,106,0.000000,"\text{Not used}","int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(1/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{3/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{1/4}} \,d x","Not used",1,"int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(1/4), x)","F"
1173,0,-1,71,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(1/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{1/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{1/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(1/4)), x)","F"
1174,0,-1,78,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(1/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{5/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{1/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(1/4)), x)","F"
1175,0,-1,82,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(1/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{9/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{1/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(1/4)), x)","F"
1176,0,-1,115,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(13/4)*(a + a*x*1i)^(1/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{13/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{1/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(13/4)*(a + a*x*1i)^(1/4)), x)","F"
1177,0,-1,148,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(17/4)*(a + a*x*1i)^(1/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{17/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{1/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(17/4)*(a + a*x*1i)^(1/4)), x)","F"
1178,0,-1,256,0.000000,"\text{Not used}","int((a - a*x*1i)^(1/4)/(a + a*x*1i)^(1/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{1/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{1/4}} \,d x","Not used",1,"int((a - a*x*1i)^(1/4)/(a + a*x*1i)^(1/4), x)","F"
1179,0,-1,233,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(3/4)*(a + a*x*1i)^(1/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{3/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{1/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(3/4)*(a + a*x*1i)^(1/4)), x)","F"
1180,1,38,33,0.548724,"\text{Not used}","int(1/((a - a*x*1i)^(7/4)*(a + a*x*1i)^(1/4)),x)","-\frac{2\,\left(x-\mathrm{i}\right)\,{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}{3\,a^2\,\left(-1+x\,1{}\mathrm{i}\right)\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"-(2*(x - 1i)*(-a*(x*1i - 1))^(1/4))/(3*a^2*(x*1i - 1)*(a*(x*1i + 1))^(1/4))","B"
1181,1,46,67,0.665670,"\text{Not used}","int(1/((a - a*x*1i)^(11/4)*(a + a*x*1i)^(1/4)),x)","-\frac{{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}\,\left(2\,x^2+x\,3{}\mathrm{i}+5\right)\,2{}\mathrm{i}}{21\,a^3\,{\left(-1+x\,1{}\mathrm{i}\right)}^2\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"-((-a*(x*1i - 1))^(1/4)*(x*3i + 2*x^2 + 5)*2i)/(21*a^3*(x*1i - 1)^2*(a*(x*1i + 1))^(1/4))","B"
1182,1,51,100,0.751653,"\text{Not used}","int(1/((a - a*x*1i)^(15/4)*(a + a*x*1i)^(1/4)),x)","\frac{{\left(x-\mathrm{i}\right)}^4\,{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}\,\left(8\,x^2+x\,28{}\mathrm{i}-41\right)\,2{}\mathrm{i}}{231\,a^4\,{\left(x^2+1\right)}^3\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"((x - 1i)^4*(-a*(x*1i - 1))^(1/4)*(x*28i + 8*x^2 - 41)*2i)/(231*a^4*(x^2 + 1)^3*(a*(x*1i + 1))^(1/4))","B"
1183,1,57,133,0.794117,"\text{Not used}","int(1/((a - a*x*1i)^(19/4)*(a + a*x*1i)^(1/4)),x)","-\frac{{\left(x-\mathrm{i}\right)}^5\,{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}\,\left(-16\,x^3-x^2\,72{}\mathrm{i}+138\,x+159{}\mathrm{i}\right)\,2{}\mathrm{i}}{1155\,a^5\,{\left(x^2+1\right)}^4\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"-((x - 1i)^5*(-a*(x*1i - 1))^(1/4)*(138*x - x^2*72i - 16*x^3 + 159i)*2i)/(1155*a^5*(x^2 + 1)^4*(a*(x*1i + 1))^(1/4))","B"
1184,0,-1,256,0.000000,"\text{Not used}","int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(3/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{3/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(3/4), x)","F"
1185,0,-1,233,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(3/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{1/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(3/4)), x)","F"
1186,0,-1,31,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(3/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{5/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(3/4)), x)","F"
1187,0,-1,67,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(3/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{9/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(3/4)), x)","F"
1188,0,-1,100,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(13/4)*(a + a*x*1i)^(3/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{13/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(13/4)*(a + a*x*1i)^(3/4)), x)","F"
1189,0,-1,112,0.000000,"\text{Not used}","int((a - a*x*1i)^(5/4)/(a + a*x*1i)^(3/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{5/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int((a - a*x*1i)^(5/4)/(a + a*x*1i)^(3/4), x)","F"
1190,0,-1,76,0.000000,"\text{Not used}","int((a - a*x*1i)^(1/4)/(a + a*x*1i)^(3/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{1/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int((a - a*x*1i)^(1/4)/(a + a*x*1i)^(3/4), x)","F"
1191,0,-1,43,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(3/4)*(a + a*x*1i)^(3/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{3/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(3/4)*(a + a*x*1i)^(3/4)), x)","F"
1192,0,-1,82,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(7/4)*(a + a*x*1i)^(3/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{7/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(7/4)*(a + a*x*1i)^(3/4)), x)","F"
1193,0,-1,115,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(11/4)*(a + a*x*1i)^(3/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{11/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{3/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(11/4)*(a + a*x*1i)^(3/4)), x)","F"
1194,0,-1,291,0.000000,"\text{Not used}","int((a - a*x*1i)^(7/4)/(a + a*x*1i)^(7/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{7/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int((a - a*x*1i)^(7/4)/(a + a*x*1i)^(7/4), x)","F"
1195,0,-1,266,0.000000,"\text{Not used}","int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(7/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{3/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(7/4), x)","F"
1196,0,-1,33,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(7/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{1/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(7/4)), x)","F"
1197,0,-1,65,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(7/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{5/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(7/4)), x)","F"
1198,0,-1,100,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(7/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{9/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(7/4)), x)","F"
1199,0,-1,139,0.000000,"\text{Not used}","int((a - a*x*1i)^(9/4)/(a + a*x*1i)^(7/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{9/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int((a - a*x*1i)^(9/4)/(a + a*x*1i)^(7/4), x)","F"
1200,0,-1,113,0.000000,"\text{Not used}","int((a - a*x*1i)^(5/4)/(a + a*x*1i)^(7/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{5/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int((a - a*x*1i)^(5/4)/(a + a*x*1i)^(7/4), x)","F"
1201,0,-1,79,0.000000,"\text{Not used}","int((a - a*x*1i)^(1/4)/(a + a*x*1i)^(7/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{1/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int((a - a*x*1i)^(1/4)/(a + a*x*1i)^(7/4), x)","F"
1202,0,-1,82,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(3/4)*(a + a*x*1i)^(7/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{3/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(3/4)*(a + a*x*1i)^(7/4)), x)","F"
1203,0,-1,81,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(7/4)*(a + a*x*1i)^(7/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{7/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(7/4)*(a + a*x*1i)^(7/4)), x)","F"
1204,0,-1,114,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(11/4)*(a + a*x*1i)^(7/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{11/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(11/4)*(a + a*x*1i)^(7/4)), x)","F"
1205,0,-1,147,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(15/4)*(a + a*x*1i)^(7/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{15/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{7/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(15/4)*(a + a*x*1i)^(7/4)), x)","F"
1206,0,-1,137,0.000000,"\text{Not used}","int((a - a*x*1i)^(7/4)/(a + a*x*1i)^(5/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{7/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{5/4}} \,d x","Not used",1,"int((a - a*x*1i)^(7/4)/(a + a*x*1i)^(5/4), x)","F"
1207,0,-1,102,0.000000,"\text{Not used}","int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(5/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{3/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{5/4}} \,d x","Not used",1,"int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(5/4), x)","F"
1208,0,-1,78,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(5/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{1/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{5/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(5/4)), x)","F"
1209,0,-1,46,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(5/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{5/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{5/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(5/4)), x)","F"
1210,0,-1,82,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(5/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{9/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{5/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(5/4)), x)","F"
1211,0,-1,115,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(13/4)*(a + a*x*1i)^(5/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{13/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{5/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(13/4)*(a + a*x*1i)^(5/4)), x)","F"
1212,0,-1,287,0.000000,"\text{Not used}","int((a - a*x*1i)^(5/4)/(a + a*x*1i)^(5/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{5/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{5/4}} \,d x","Not used",1,"int((a - a*x*1i)^(5/4)/(a + a*x*1i)^(5/4), x)","F"
1213,0,-1,264,0.000000,"\text{Not used}","int((a - a*x*1i)^(1/4)/(a + a*x*1i)^(5/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{1/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{5/4}} \,d x","Not used",1,"int((a - a*x*1i)^(1/4)/(a + a*x*1i)^(5/4), x)","F"
1214,1,27,31,1.161383,"\text{Not used}","int(1/((a - a*x*1i)^(3/4)*(a + a*x*1i)^(5/4)),x)","\frac{{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}\,2{}\mathrm{i}}{a^2\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"((-a*(x*1i - 1))^(1/4)*2i)/(a^2*(a*(x*1i + 1))^(1/4))","B"
1215,1,40,67,0.597374,"\text{Not used}","int(1/((a - a*x*1i)^(7/4)*(a + a*x*1i)^(5/4)),x)","-\frac{2\,\left(2\,x+1{}\mathrm{i}\right)\,{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}{3\,a^3\,\left(-1+x\,1{}\mathrm{i}\right)\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"-(2*(2*x + 1i)*(-a*(x*1i - 1))^(1/4))/(3*a^3*(x*1i - 1)*(a*(x*1i + 1))^(1/4))","B"
1216,1,46,100,0.763852,"\text{Not used}","int(1/((a - a*x*1i)^(11/4)*(a + a*x*1i)^(5/4)),x)","-\frac{{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}\,\left(8\,x^2+x\,12{}\mathrm{i}-1\right)\,2{}\mathrm{i}}{21\,a^4\,{\left(-1+x\,1{}\mathrm{i}\right)}^2\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"-((-a*(x*1i - 1))^(1/4)*(x*12i + 8*x^2 - 1)*2i)/(21*a^4*(x*1i - 1)^2*(a*(x*1i + 1))^(1/4))","B"
1217,0,-1,141,0.000000,"\text{Not used}","int((a - a*x*1i)^(7/4)/(a + a*x*1i)^(9/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{7/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{9/4}} \,d x","Not used",1,"int((a - a*x*1i)^(7/4)/(a + a*x*1i)^(9/4), x)","F"
1218,0,-1,115,0.000000,"\text{Not used}","int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(9/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{3/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{9/4}} \,d x","Not used",1,"int((a - a*x*1i)^(3/4)/(a + a*x*1i)^(9/4), x)","F"
1219,0,-1,82,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(9/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{1/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{9/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(1/4)*(a + a*x*1i)^(9/4)), x)","F"
1220,0,-1,82,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(9/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{5/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{9/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(5/4)*(a + a*x*1i)^(9/4)), x)","F"
1221,0,-1,88,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(9/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{9/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{9/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(9/4)*(a + a*x*1i)^(9/4)), x)","F"
1222,0,-1,121,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(13/4)*(a + a*x*1i)^(9/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{13/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{9/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(13/4)*(a + a*x*1i)^(9/4)), x)","F"
1223,0,-1,154,0.000000,"\text{Not used}","int(1/((a - a*x*1i)^(17/4)*(a + a*x*1i)^(9/4)),x)","\int \frac{1}{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{17/4}\,{\left(a+a\,x\,1{}\mathrm{i}\right)}^{9/4}} \,d x","Not used",1,"int(1/((a - a*x*1i)^(17/4)*(a + a*x*1i)^(9/4)), x)","F"
1224,0,-1,297,0.000000,"\text{Not used}","int((a - a*x*1i)^(5/4)/(a + a*x*1i)^(9/4),x)","\int \frac{{\left(a-a\,x\,1{}\mathrm{i}\right)}^{5/4}}{{\left(a+a\,x\,1{}\mathrm{i}\right)}^{9/4}} \,d x","Not used",1,"int((a - a*x*1i)^(5/4)/(a + a*x*1i)^(9/4), x)","F"
1225,1,38,33,0.546395,"\text{Not used}","int((a - a*x*1i)^(1/4)/(a + a*x*1i)^(9/4),x)","-\frac{2\,\left(-1+x\,1{}\mathrm{i}\right)\,{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}{5\,a^2\,\left(x-\mathrm{i}\right)\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"-(2*(x*1i - 1)*(-a*(x*1i - 1))^(1/4))/(5*a^2*(x - 1i)*(a*(x*1i + 1))^(1/4))","B"
1226,1,38,67,0.632958,"\text{Not used}","int(1/((a - a*x*1i)^(3/4)*(a + a*x*1i)^(9/4)),x)","\frac{2\,\left(3+x\,2{}\mathrm{i}\right)\,{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}{5\,a^3\,\left(x-\mathrm{i}\right)\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"(2*(x*2i + 3)*(-a*(x*1i - 1))^(1/4))/(5*a^3*(x - 1i)*(a*(x*1i + 1))^(1/4))","B"
1227,1,45,100,0.534964,"\text{Not used}","int(1/((a - a*x*1i)^(7/4)*(a + a*x*1i)^(9/4)),x)","\frac{2\,{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}\,\left(x^2\,8{}\mathrm{i}+4\,x+7{}\mathrm{i}\right)}{15\,a^4\,\left(x^2+1\right)\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"(2*(-a*(x*1i - 1))^(1/4)*(4*x + x^2*8i + 7i))/(15*a^4*(x^2 + 1)*(a*(x*1i + 1))^(1/4))","B"
1228,1,56,133,0.687221,"\text{Not used}","int(1/((a - a*x*1i)^(11/4)*(a + a*x*1i)^(9/4)),x)","\frac{2\,{\left(-a\,\left(-1+x\,1{}\mathrm{i}\right)\right)}^{1/4}\,\left(x^4\,16{}\mathrm{i}+8\,x^3+x^2\,30{}\mathrm{i}+13\,x+9{}\mathrm{i}\right)}{35\,a^5\,{\left(x^2+1\right)}^2\,{\left(a\,\left(1+x\,1{}\mathrm{i}\right)\right)}^{1/4}}","Not used",1,"(2*(-a*(x*1i - 1))^(1/4)*(13*x + x^2*30i + 8*x^3 + x^4*16i + 9i))/(35*a^5*(x^2 + 1)^2*(a*(x*1i + 1))^(1/4))","B"
1229,1,133,83,0.493284,"\text{Not used}","int((a*c - b*c*x)^n*(a + b*x)^2,x)","-{\left(a\,c-b\,c\,x\right)}^n\,\left(\frac{a^2\,x\,\left(n^2+3\,n-6\right)}{n^3+6\,n^2+11\,n+6}+\frac{a^3\,\left(n^2+7\,n+14\right)}{b\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{b^2\,x^3\,\left(n^2+3\,n+2\right)}{n^3+6\,n^2+11\,n+6}-\frac{a\,b\,x^2\,\left(n^2+7\,n+6\right)}{n^3+6\,n^2+11\,n+6}\right)","Not used",1,"-(a*c - b*c*x)^n*((a^2*x*(3*n + n^2 - 6))/(11*n + 6*n^2 + n^3 + 6) + (a^3*(7*n + n^2 + 14))/(b*(11*n + 6*n^2 + n^3 + 6)) - (b^2*x^3*(3*n + n^2 + 2))/(11*n + 6*n^2 + n^3 + 6) - (a*b*x^2*(7*n + n^2 + 6))/(11*n + 6*n^2 + n^3 + 6))","B"
1230,1,66,53,0.318849,"\text{Not used}","int((a*c - b*c*x)^n*(a + b*x),x)","{\left(a\,c-b\,c\,x\right)}^n\,\left(\frac{2\,a\,x}{n^2+3\,n+2}-\frac{a^2\,\left(n+3\right)}{b\,\left(n^2+3\,n+2\right)}+\frac{b\,x^2\,\left(n+1\right)}{n^2+3\,n+2}\right)","Not used",1,"(a*c - b*c*x)^n*((2*a*x)/(3*n + n^2 + 2) - (a^2*(n + 3))/(b*(3*n + n^2 + 2)) + (b*x^2*(n + 1))/(3*n + n^2 + 2))","B"
1231,0,-1,52,0.000000,"\text{Not used}","int((a*c - b*c*x)^n/(a + b*x),x)","\int \frac{{\left(a\,c-b\,c\,x\right)}^n}{a+b\,x} \,d x","Not used",1,"int((a*c - b*c*x)^n/(a + b*x), x)","F"
1232,0,-1,52,0.000000,"\text{Not used}","int((a*c - b*c*x)^n/(a + b*x)^2,x)","\int \frac{{\left(a\,c-b\,c\,x\right)}^n}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((a*c - b*c*x)^n/(a + b*x)^2, x)","F"
1233,0,-1,41,0.000000,"\text{Not used}","int((a + a*x)^m*(c - c*x)^m,x)","\int {\left(a+a\,x\right)}^m\,{\left(c-c\,x\right)}^m \,d x","Not used",1,"int((a + a*x)^m*(c - c*x)^m, x)","F"
1234,0,-1,57,0.000000,"\text{Not used}","int((a*c - b*c*x)^m*(a + b*x)^m,x)","\int {\left(a\,c-b\,c\,x\right)}^m\,{\left(a+b\,x\right)}^m \,d x","Not used",1,"int((a*c - b*c*x)^m*(a + b*x)^m, x)","F"
1235,0,-1,20,0.000000,"\text{Not used}","int((4*x + 2)^m*(3 - 6*x)^m,x)","\int {\left(4\,x+2\right)}^m\,{\left(3-6\,x\right)}^m \,d x","Not used",1,"int((4*x + 2)^m*(3 - 6*x)^m, x)","F"
1236,1,88,38,0.189757,"\text{Not used}","int((a + b*x)^4*(c + d*x),x)","x^5\,\left(\frac{c\,b^4}{5}+\frac{4\,a\,d\,b^3}{5}\right)+x^2\,\left(\frac{d\,a^4}{2}+2\,b\,c\,a^3\right)+\frac{b^4\,d\,x^6}{6}+a^4\,c\,x+\frac{2\,a^2\,b\,x^3\,\left(2\,a\,d+3\,b\,c\right)}{3}+\frac{a\,b^2\,x^4\,\left(3\,a\,d+2\,b\,c\right)}{2}","Not used",1,"x^5*((b^4*c)/5 + (4*a*b^3*d)/5) + x^2*((a^4*d)/2 + 2*a^3*b*c) + (b^4*d*x^6)/6 + a^4*c*x + (2*a^2*b*x^3*(2*a*d + 3*b*c))/3 + (a*b^2*x^4*(3*a*d + 2*b*c))/2","B"
1237,1,65,38,0.158780,"\text{Not used}","int((a + b*x)^3*(c + d*x),x)","x^4\,\left(\frac{c\,b^3}{4}+\frac{3\,a\,d\,b^2}{4}\right)+x^2\,\left(\frac{d\,a^3}{2}+\frac{3\,b\,c\,a^2}{2}\right)+\frac{b^3\,d\,x^5}{5}+a^3\,c\,x+a\,b\,x^3\,\left(a\,d+b\,c\right)","Not used",1,"x^4*((b^3*c)/4 + (3*a*b^2*d)/4) + x^2*((a^3*d)/2 + (3*a^2*b*c)/2) + (b^3*d*x^5)/5 + a^3*c*x + a*b*x^3*(a*d + b*c)","B"
1238,1,47,38,0.046955,"\text{Not used}","int((a + b*x)^2*(c + d*x),x)","x^2\,\left(\frac{d\,a^2}{2}+b\,c\,a\right)+x^3\,\left(\frac{c\,b^2}{3}+\frac{2\,a\,d\,b}{3}\right)+\frac{b^2\,d\,x^4}{4}+a^2\,c\,x","Not used",1,"x^2*((a^2*d)/2 + a*b*c) + x^3*((b^2*c)/3 + (2*a*b*d)/3) + (b^2*d*x^4)/4 + a^2*c*x","B"
1239,1,25,28,0.034835,"\text{Not used}","int((a + b*x)*(c + d*x),x)","\frac{b\,d\,x^3}{3}+\left(\frac{a\,d}{2}+\frac{b\,c}{2}\right)\,x^2+a\,c\,x","Not used",1,"x^2*((a*d)/2 + (b*c)/2) + a*c*x + (b*d*x^3)/3","B"
1240,1,10,12,0.019336,"\text{Not used}","int(c + d*x,x)","\frac{d\,x^2}{2}+c\,x","Not used",1,"c*x + (d*x^2)/2","B"
1241,1,26,25,0.049052,"\text{Not used}","int((c + d*x)/(a + b*x),x)","\frac{d\,x}{b}-\frac{\ln\left(a+b\,x\right)\,\left(a\,d-b\,c\right)}{b^2}","Not used",1,"(d*x)/b - (log(a + b*x)*(a*d - b*c))/b^2","B"
1242,1,31,32,0.170876,"\text{Not used}","int((c + d*x)/(a + b*x)^2,x)","\frac{a\,d-b\,c}{b^2\,\left(a+b\,x\right)}+\frac{d\,\ln\left(a+b\,x\right)}{b^2}","Not used",1,"(a*d - b*c)/(b^2*(a + b*x)) + (d*log(a + b*x))/b^2","B"
1243,1,39,28,0.159209,"\text{Not used}","int((c + d*x)/(a + b*x)^3,x)","-\frac{\frac{a\,d+b\,c}{2\,b^2}+\frac{d\,x}{b}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"-((a*d + b*c)/(2*b^2) + (d*x)/b)/(a^2 + b^2*x^2 + 2*a*b*x)","B"
1244,1,52,38,0.165499,"\text{Not used}","int((c + d*x)/(a + b*x)^4,x)","-\frac{\frac{a\,d+2\,b\,c}{6\,b^2}+\frac{d\,x}{2\,b}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"-((a*d + 2*b*c)/(6*b^2) + (d*x)/(2*b))/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
1245,1,63,38,0.041048,"\text{Not used}","int((c + d*x)/(a + b*x)^5,x)","-\frac{\frac{a\,d+3\,b\,c}{12\,b^2}+\frac{d\,x}{3\,b}}{a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4}","Not used",1,"-((a*d + 3*b*c)/(12*b^2) + (d*x)/(3*b))/(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x)","B"
1246,1,144,65,0.066075,"\text{Not used}","int((a + b*x)^4*(c + d*x)^2,x)","x^3\,\left(\frac{a^4\,d^2}{3}+\frac{8\,a^3\,b\,c\,d}{3}+2\,a^2\,b^2\,c^2\right)+x^5\,\left(\frac{6\,a^2\,b^2\,d^2}{5}+\frac{8\,a\,b^3\,c\,d}{5}+\frac{b^4\,c^2}{5}\right)+a^4\,c^2\,x+\frac{b^4\,d^2\,x^7}{7}+a^3\,c\,x^2\,\left(a\,d+2\,b\,c\right)+\frac{b^3\,d\,x^6\,\left(2\,a\,d+b\,c\right)}{3}+a\,b\,x^4\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)","Not used",1,"x^3*((a^4*d^2)/3 + 2*a^2*b^2*c^2 + (8*a^3*b*c*d)/3) + x^5*((b^4*c^2)/5 + (6*a^2*b^2*d^2)/5 + (8*a*b^3*c*d)/5) + a^4*c^2*x + (b^4*d^2*x^7)/7 + a^3*c*x^2*(a*d + 2*b*c) + (b^3*d*x^6*(2*a*d + b*c))/3 + a*b*x^4*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d)","B"
1247,1,115,65,0.049625,"\text{Not used}","int((a + b*x)^3*(c + d*x)^2,x)","x^3\,\left(\frac{a^3\,d^2}{3}+2\,a^2\,b\,c\,d+a\,b^2\,c^2\right)+x^4\,\left(\frac{3\,a^2\,b\,d^2}{4}+\frac{3\,a\,b^2\,c\,d}{2}+\frac{b^3\,c^2}{4}\right)+a^3\,c^2\,x+\frac{b^3\,d^2\,x^6}{6}+\frac{a^2\,c\,x^2\,\left(2\,a\,d+3\,b\,c\right)}{2}+\frac{b^2\,d\,x^5\,\left(3\,a\,d+2\,b\,c\right)}{5}","Not used",1,"x^3*((a^3*d^2)/3 + a*b^2*c^2 + 2*a^2*b*c*d) + x^4*((b^3*c^2)/4 + (3*a^2*b*d^2)/4 + (3*a*b^2*c*d)/2) + a^3*c^2*x + (b^3*d^2*x^6)/6 + (a^2*c*x^2*(2*a*d + 3*b*c))/2 + (b^2*d*x^5*(3*a*d + 2*b*c))/5","B"
1248,1,74,65,0.165808,"\text{Not used}","int((a + b*x)^2*(c + d*x)^2,x)","x^3\,\left(\frac{a^2\,d^2}{3}+\frac{4\,a\,b\,c\,d}{3}+\frac{b^2\,c^2}{3}\right)+a^2\,c^2\,x+\frac{b^2\,d^2\,x^5}{5}+a\,c\,x^2\,\left(a\,d+b\,c\right)+\frac{b\,d\,x^4\,\left(a\,d+b\,c\right)}{2}","Not used",1,"x^3*((a^2*d^2)/3 + (b^2*c^2)/3 + (4*a*b*c*d)/3) + a^2*c^2*x + (b^2*d^2*x^5)/5 + a*c*x^2*(a*d + b*c) + (b*d*x^4*(a*d + b*c))/2","B"
1249,1,47,38,0.043886,"\text{Not used}","int((a + b*x)*(c + d*x)^2,x)","x^2\,\left(\frac{b\,c^2}{2}+a\,d\,c\right)+x^3\,\left(\frac{a\,d^2}{3}+\frac{2\,b\,c\,d}{3}\right)+\frac{b\,d^2\,x^4}{4}+a\,c^2\,x","Not used",1,"x^2*((b*c^2)/2 + a*c*d) + x^3*((a*d^2)/3 + (2*b*c*d)/3) + (b*d^2*x^4)/4 + a*c^2*x","B"
1250,1,20,14,0.027979,"\text{Not used}","int((c + d*x)^2,x)","c^2\,x+c\,d\,x^2+\frac{d^2\,x^3}{3}","Not used",1,"c^2*x + (d^2*x^3)/3 + c*d*x^2","B"
1251,1,62,49,0.189507,"\text{Not used}","int((c + d*x)^2/(a + b*x),x)","\frac{\ln\left(a+b\,x\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{b^3}-x\,\left(\frac{a\,d^2}{b^2}-\frac{2\,c\,d}{b}\right)+\frac{d^2\,x^2}{2\,b}","Not used",1,"(log(a + b*x)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/b^3 - x*((a*d^2)/b^2 - (2*c*d)/b) + (d^2*x^2)/(2*b)","B"
1252,1,71,51,0.200202,"\text{Not used}","int((c + d*x)^2/(a + b*x)^2,x)","\frac{d^2\,x}{b^2}-\frac{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}{b\,\left(x\,b^3+a\,b^2\right)}-\frac{\ln\left(a+b\,x\right)\,\left(2\,a\,d^2-2\,b\,c\,d\right)}{b^3}","Not used",1,"(d^2*x)/b^2 - (a^2*d^2 + b^2*c^2 - 2*a*b*c*d)/(b*(a*b^2 + b^3*x)) - (log(a + b*x)*(2*a*d^2 - 2*b*c*d))/b^3","B"
1253,1,77,59,0.197376,"\text{Not used}","int((c + d*x)^2/(a + b*x)^3,x)","\frac{d^2\,\ln\left(a+b\,x\right)}{b^3}-\frac{\frac{-3\,a^2\,d^2+2\,a\,b\,c\,d+b^2\,c^2}{2\,b^3}-\frac{2\,d\,x\,\left(a\,d-b\,c\right)}{b^2}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"(d^2*log(a + b*x))/b^3 - ((b^2*c^2 - 3*a^2*d^2 + 2*a*b*c*d)/(2*b^3) - (2*d*x*(a*d - b*c))/b^2)/(a^2 + b^2*x^2 + 2*a*b*x)","B"
1254,1,80,28,0.037368,"\text{Not used}","int((c + d*x)^2/(a + b*x)^4,x)","-\frac{\frac{a^2\,d^2+a\,b\,c\,d+b^2\,c^2}{3\,b^3}+\frac{d^2\,x^2}{b}+\frac{d\,x\,\left(a\,d+b\,c\right)}{b^2}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"-((a^2*d^2 + b^2*c^2 + a*b*c*d)/(3*b^3) + (d^2*x^2)/b + (d*x*(a*d + b*c))/b^2)/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
1255,1,39,65,0.192754,"\text{Not used}","int((c + d*x)^2/(a + b*x)^5,x)","\frac{{\left(c+d\,x\right)}^3\,\left(4\,a\,d-3\,b\,c+b\,d\,x\right)}{12\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^4}","Not used",1,"((c + d*x)^3*(4*a*d - 3*b*c + b*d*x))/(12*(a*d - b*c)^2*(a + b*x)^4)","B"
1256,1,107,65,0.202170,"\text{Not used}","int((c + d*x)^2/(a + b*x)^6,x)","-\frac{\frac{a^2\,d^2+3\,a\,b\,c\,d+6\,b^2\,c^2}{30\,b^3}+\frac{d^2\,x^2}{3\,b}+\frac{d\,x\,\left(a\,d+3\,b\,c\right)}{6\,b^2}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}","Not used",1,"-((a^2*d^2 + 6*b^2*c^2 + 3*a*b*c*d)/(30*b^3) + (d^2*x^2)/(3*b) + (d*x*(a*d + 3*b*c))/(6*b^2))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)","B"
1257,1,118,65,0.088506,"\text{Not used}","int((c + d*x)^2/(a + b*x)^7,x)","-\frac{\frac{a^2\,d^2+4\,a\,b\,c\,d+10\,b^2\,c^2}{60\,b^3}+\frac{d^2\,x^2}{4\,b}+\frac{d\,x\,\left(a\,d+4\,b\,c\right)}{10\,b^2}}{a^6+6\,a^5\,b\,x+15\,a^4\,b^2\,x^2+20\,a^3\,b^3\,x^3+15\,a^2\,b^4\,x^4+6\,a\,b^5\,x^5+b^6\,x^6}","Not used",1,"-((a^2*d^2 + 10*b^2*c^2 + 4*a*b*c*d)/(60*b^3) + (d^2*x^2)/(4*b) + (d*x*(a*d + 4*b*c))/(10*b^2))/(a^6 + b^6*x^6 + 6*a*b^5*x^5 + 15*a^4*b^2*x^2 + 20*a^3*b^3*x^3 + 15*a^2*b^4*x^4 + 6*a^5*b*x)","B"
1258,1,261,92,0.239749,"\text{Not used}","int((a + b*x)^5*(c + d*x)^3,x)","x^5\,\left(a^4\,b\,d^3+6\,a^3\,b^2\,c\,d^2+6\,a^2\,b^3\,c^2\,d+a\,b^4\,c^3\right)+x^4\,\left(\frac{a^5\,d^3}{4}+\frac{15\,a^4\,b\,c\,d^2}{4}+\frac{15\,a^3\,b^2\,c^2\,d}{2}+\frac{5\,a^2\,b^3\,c^3}{2}\right)+x^6\,\left(\frac{5\,a^3\,b^2\,d^3}{3}+5\,a^2\,b^3\,c\,d^2+\frac{5\,a\,b^4\,c^2\,d}{2}+\frac{b^5\,c^3}{6}\right)+a^5\,c^3\,x+\frac{b^5\,d^3\,x^9}{9}+\frac{a^4\,c^2\,x^2\,\left(3\,a\,d+5\,b\,c\right)}{2}+\frac{b^4\,d^2\,x^8\,\left(5\,a\,d+3\,b\,c\right)}{8}+\frac{a^3\,c\,x^3\,\left(3\,a^2\,d^2+15\,a\,b\,c\,d+10\,b^2\,c^2\right)}{3}+\frac{b^3\,d\,x^7\,\left(10\,a^2\,d^2+15\,a\,b\,c\,d+3\,b^2\,c^2\right)}{7}","Not used",1,"x^5*(a*b^4*c^3 + a^4*b*d^3 + 6*a^2*b^3*c^2*d + 6*a^3*b^2*c*d^2) + x^4*((a^5*d^3)/4 + (5*a^2*b^3*c^3)/2 + (15*a^3*b^2*c^2*d)/2 + (15*a^4*b*c*d^2)/4) + x^6*((b^5*c^3)/6 + (5*a^3*b^2*d^3)/3 + 5*a^2*b^3*c*d^2 + (5*a*b^4*c^2*d)/2) + a^5*c^3*x + (b^5*d^3*x^9)/9 + (a^4*c^2*x^2*(3*a*d + 5*b*c))/2 + (b^4*d^2*x^8*(5*a*d + 3*b*c))/8 + (a^3*c*x^3*(3*a^2*d^2 + 10*b^2*c^2 + 15*a*b*c*d))/3 + (b^3*d*x^7*(10*a^2*d^2 + 3*b^2*c^2 + 15*a*b*c*d))/7","B"
1259,1,208,92,0.214203,"\text{Not used}","int((a + b*x)^4*(c + d*x)^3,x)","x^4\,\left(\frac{a^4\,d^3}{4}+3\,a^3\,b\,c\,d^2+\frac{9\,a^2\,b^2\,c^2\,d}{2}+a\,b^3\,c^3\right)+x^5\,\left(\frac{4\,a^3\,b\,d^3}{5}+\frac{18\,a^2\,b^2\,c\,d^2}{5}+\frac{12\,a\,b^3\,c^2\,d}{5}+\frac{b^4\,c^3}{5}\right)+a^4\,c^3\,x+\frac{b^4\,d^3\,x^8}{8}+\frac{a^3\,c^2\,x^2\,\left(3\,a\,d+4\,b\,c\right)}{2}+\frac{b^3\,d^2\,x^7\,\left(4\,a\,d+3\,b\,c\right)}{7}+a^2\,c\,x^3\,\left(a^2\,d^2+4\,a\,b\,c\,d+2\,b^2\,c^2\right)+\frac{b^2\,d\,x^6\,\left(2\,a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{2}","Not used",1,"x^4*((a^4*d^3)/4 + a*b^3*c^3 + (9*a^2*b^2*c^2*d)/2 + 3*a^3*b*c*d^2) + x^5*((b^4*c^3)/5 + (4*a^3*b*d^3)/5 + (18*a^2*b^2*c*d^2)/5 + (12*a*b^3*c^2*d)/5) + a^4*c^3*x + (b^4*d^3*x^8)/8 + (a^3*c^2*x^2*(3*a*d + 4*b*c))/2 + (b^3*d^2*x^7*(4*a*d + 3*b*c))/7 + a^2*c*x^3*(a^2*d^2 + 2*b^2*c^2 + 4*a*b*c*d) + (b^2*d*x^6*(2*a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/2","B"
1260,1,152,92,0.055924,"\text{Not used}","int((a + b*x)^3*(c + d*x)^3,x)","x^4\,\left(\frac{a^3\,d^3}{4}+\frac{9\,a^2\,b\,c\,d^2}{4}+\frac{9\,a\,b^2\,c^2\,d}{4}+\frac{b^3\,c^3}{4}\right)+a^3\,c^3\,x+\frac{b^3\,d^3\,x^7}{7}+a\,c\,x^3\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)+\frac{3\,b\,d\,x^5\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)}{5}+\frac{3\,a^2\,c^2\,x^2\,\left(a\,d+b\,c\right)}{2}+\frac{b^2\,d^2\,x^6\,\left(a\,d+b\,c\right)}{2}","Not used",1,"x^4*((a^3*d^3)/4 + (b^3*c^3)/4 + (9*a*b^2*c^2*d)/4 + (9*a^2*b*c*d^2)/4) + a^3*c^3*x + (b^3*d^3*x^7)/7 + a*c*x^3*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d) + (3*b*d*x^5*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d))/5 + (3*a^2*c^2*x^2*(a*d + b*c))/2 + (b^2*d^2*x^6*(a*d + b*c))/2","B"
1261,1,115,65,0.046320,"\text{Not used}","int((a + b*x)^2*(c + d*x)^3,x)","x^3\,\left(a^2\,c\,d^2+2\,a\,b\,c^2\,d+\frac{b^2\,c^3}{3}\right)+x^4\,\left(\frac{a^2\,d^3}{4}+\frac{3\,a\,b\,c\,d^2}{2}+\frac{3\,b^2\,c^2\,d}{4}\right)+a^2\,c^3\,x+\frac{b^2\,d^3\,x^6}{6}+\frac{a\,c^2\,x^2\,\left(3\,a\,d+2\,b\,c\right)}{2}+\frac{b\,d^2\,x^5\,\left(2\,a\,d+3\,b\,c\right)}{5}","Not used",1,"x^3*((b^2*c^3)/3 + a^2*c*d^2 + 2*a*b*c^2*d) + x^4*((a^2*d^3)/4 + (3*b^2*c^2*d)/4 + (3*a*b*c*d^2)/2) + a^2*c^3*x + (b^2*d^3*x^6)/6 + (a*c^2*x^2*(3*a*d + 2*b*c))/2 + (b*d^2*x^5*(2*a*d + 3*b*c))/5","B"
1262,1,65,38,0.032468,"\text{Not used}","int((a + b*x)*(c + d*x)^3,x)","x^2\,\left(\frac{b\,c^3}{2}+\frac{3\,a\,d\,c^2}{2}\right)+x^4\,\left(\frac{a\,d^3}{4}+\frac{3\,b\,c\,d^2}{4}\right)+\frac{b\,d^3\,x^5}{5}+a\,c^3\,x+c\,d\,x^3\,\left(a\,d+b\,c\right)","Not used",1,"x^2*((b*c^3)/2 + (3*a*c^2*d)/2) + x^4*((a*d^3)/4 + (3*b*c*d^2)/4) + (b*d^3*x^5)/5 + a*c^3*x + c*d*x^3*(a*d + b*c)","B"
1263,1,31,14,0.036582,"\text{Not used}","int((c + d*x)^3,x)","c^3\,x+\frac{3\,c^2\,d\,x^2}{2}+c\,d^2\,x^3+\frac{d^3\,x^4}{4}","Not used",1,"c^3*x + (d^3*x^4)/4 + (3*c^2*d*x^2)/2 + c*d^2*x^3","B"
1264,1,118,73,0.200532,"\text{Not used}","int((c + d*x)^3/(a + b*x),x)","x\,\left(\frac{3\,c^2\,d}{b}+\frac{a\,\left(\frac{a\,d^3}{b^2}-\frac{3\,c\,d^2}{b}\right)}{b}\right)-x^2\,\left(\frac{a\,d^3}{2\,b^2}-\frac{3\,c\,d^2}{2\,b}\right)+\frac{d^3\,x^3}{3\,b}-\frac{\ln\left(a+b\,x\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{b^4}","Not used",1,"x*((3*c^2*d)/b + (a*((a*d^3)/b^2 - (3*c*d^2)/b))/b) - x^2*((a*d^3)/(2*b^2) - (3*c*d^2)/(2*b)) + (d^3*x^3)/(3*b) - (log(a + b*x)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/b^4","B"
1265,1,123,75,0.214913,"\text{Not used}","int((c + d*x)^3/(a + b*x)^2,x)","\frac{\ln\left(a+b\,x\right)\,\left(3\,a^2\,d^3-6\,a\,b\,c\,d^2+3\,b^2\,c^2\,d\right)}{b^4}-x\,\left(\frac{2\,a\,d^3}{b^3}-\frac{3\,c\,d^2}{b^2}\right)+\frac{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}{b\,\left(x\,b^4+a\,b^3\right)}+\frac{d^3\,x^2}{2\,b^2}","Not used",1,"(log(a + b*x)*(3*a^2*d^3 + 3*b^2*c^2*d - 6*a*b*c*d^2))/b^4 - x*((2*a*d^3)/b^3 - (3*c*d^2)/b^2) + (a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)/(b*(a*b^3 + b^4*x)) + (d^3*x^2)/(2*b^2)","B"
1266,1,130,78,0.820811,"\text{Not used}","int((c + d*x)^3/(a + b*x)^3,x)","\frac{d^3\,x}{b^3}-\frac{\ln\left(a+b\,x\right)\,\left(3\,a\,d^3-3\,b\,c\,d^2\right)}{b^4}-\frac{\frac{5\,a^3\,d^3-9\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d+b^3\,c^3}{2\,b}+x\,\left(3\,a^2\,d^3-6\,a\,b\,c\,d^2+3\,b^2\,c^2\,d\right)}{a^2\,b^3+2\,a\,b^4\,x+b^5\,x^2}","Not used",1,"(d^3*x)/b^3 - (log(a + b*x)*(3*a*d^3 - 3*b*c*d^2))/b^4 - ((5*a^3*d^3 + b^3*c^3 + 3*a*b^2*c^2*d - 9*a^2*b*c*d^2)/(2*b) + x*(3*a^2*d^3 + 3*b^2*c^2*d - 6*a*b*c*d^2))/(a^2*b^3 + b^5*x^2 + 2*a*b^4*x)","B"
1267,1,138,86,0.254428,"\text{Not used}","int((c + d*x)^3/(a + b*x)^4,x)","\frac{d^3\,\ln\left(a+b\,x\right)}{b^4}-\frac{\frac{-11\,a^3\,d^3+6\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d+2\,b^3\,c^3}{6\,b^4}+\frac{3\,x\,\left(-3\,a^2\,d^3+2\,a\,b\,c\,d^2+b^2\,c^2\,d\right)}{2\,b^3}-\frac{3\,d^2\,x^2\,\left(a\,d-b\,c\right)}{b^2}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"(d^3*log(a + b*x))/b^4 - ((2*b^3*c^3 - 11*a^3*d^3 + 3*a*b^2*c^2*d + 6*a^2*b*c*d^2)/(6*b^4) + (3*x*(b^2*c^2*d - 3*a^2*d^3 + 2*a*b*c*d^2))/(2*b^3) - (3*d^2*x^2*(a*d - b*c))/b^2)/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
1268,1,135,28,0.072351,"\text{Not used}","int((c + d*x)^3/(a + b*x)^5,x)","-\frac{\frac{a^3\,d^3+a^2\,b\,c\,d^2+a\,b^2\,c^2\,d+b^3\,c^3}{4\,b^4}+\frac{d^3\,x^3}{b}+\frac{d\,x\,\left(a^2\,d^2+a\,b\,c\,d+b^2\,c^2\right)}{b^3}+\frac{3\,d^2\,x^2\,\left(a\,d+b\,c\right)}{2\,b^2}}{a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4}","Not used",1,"-((a^3*d^3 + b^3*c^3 + a*b^2*c^2*d + a^2*b*c*d^2)/(4*b^4) + (d^3*x^3)/b + (d*x*(a^2*d^2 + b^2*c^2 + a*b*c*d))/b^3 + (3*d^2*x^2*(a*d + b*c))/(2*b^2))/(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x)","B"
1269,1,39,58,0.082490,"\text{Not used}","int((c + d*x)^3/(a + b*x)^6,x)","\frac{{\left(c+d\,x\right)}^4\,\left(5\,a\,d-4\,b\,c+b\,d\,x\right)}{20\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^5}","Not used",1,"((c + d*x)^4*(5*a*d - 4*b*c + b*d*x))/(20*(a*d - b*c)^2*(a + b*x)^5)","B"
1270,1,165,92,0.221632,"\text{Not used}","int((c + d*x)^3/(a + b*x)^7,x)","-\frac{\frac{a^3\,d^3+3\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d+10\,b^3\,c^3}{60\,b^4}+\frac{d^3\,x^3}{3\,b}+\frac{d\,x\,\left(a^2\,d^2+3\,a\,b\,c\,d+6\,b^2\,c^2\right)}{10\,b^3}+\frac{d^2\,x^2\,\left(a\,d+3\,b\,c\right)}{4\,b^2}}{a^6+6\,a^5\,b\,x+15\,a^4\,b^2\,x^2+20\,a^3\,b^3\,x^3+15\,a^2\,b^4\,x^4+6\,a\,b^5\,x^5+b^6\,x^6}","Not used",1,"-((a^3*d^3 + 10*b^3*c^3 + 6*a*b^2*c^2*d + 3*a^2*b*c*d^2)/(60*b^4) + (d^3*x^3)/(3*b) + (d*x*(a^2*d^2 + 6*b^2*c^2 + 3*a*b*c*d))/(10*b^3) + (d^2*x^2*(a*d + 3*b*c))/(4*b^2))/(a^6 + b^6*x^6 + 6*a*b^5*x^5 + 15*a^4*b^2*x^2 + 20*a^3*b^3*x^3 + 15*a^2*b^4*x^4 + 6*a^5*b*x)","B"
1271,1,176,92,0.113919,"\text{Not used}","int((c + d*x)^3/(a + b*x)^8,x)","-\frac{\frac{a^3\,d^3+4\,a^2\,b\,c\,d^2+10\,a\,b^2\,c^2\,d+20\,b^3\,c^3}{140\,b^4}+\frac{d^3\,x^3}{4\,b}+\frac{d\,x\,\left(a^2\,d^2+4\,a\,b\,c\,d+10\,b^2\,c^2\right)}{20\,b^3}+\frac{3\,d^2\,x^2\,\left(a\,d+4\,b\,c\right)}{20\,b^2}}{a^7+7\,a^6\,b\,x+21\,a^5\,b^2\,x^2+35\,a^4\,b^3\,x^3+35\,a^3\,b^4\,x^4+21\,a^2\,b^5\,x^5+7\,a\,b^6\,x^6+b^7\,x^7}","Not used",1,"-((a^3*d^3 + 20*b^3*c^3 + 10*a*b^2*c^2*d + 4*a^2*b*c*d^2)/(140*b^4) + (d^3*x^3)/(4*b) + (d*x*(a^2*d^2 + 10*b^2*c^2 + 4*a*b*c*d))/(20*b^3) + (3*d^2*x^2*(a*d + 4*b*c))/(20*b^2))/(a^7 + b^7*x^7 + 7*a*b^6*x^6 + 21*a^5*b^2*x^2 + 35*a^4*b^3*x^3 + 35*a^3*b^4*x^4 + 21*a^2*b^5*x^5 + 7*a^6*b*x)","B"
1272,1,187,92,0.232213,"\text{Not used}","int((c + d*x)^3/(a + b*x)^9,x)","-\frac{\frac{a^3\,d^3+5\,a^2\,b\,c\,d^2+15\,a\,b^2\,c^2\,d+35\,b^3\,c^3}{280\,b^4}+\frac{d^3\,x^3}{5\,b}+\frac{d\,x\,\left(a^2\,d^2+5\,a\,b\,c\,d+15\,b^2\,c^2\right)}{35\,b^3}+\frac{d^2\,x^2\,\left(a\,d+5\,b\,c\right)}{10\,b^2}}{a^8+8\,a^7\,b\,x+28\,a^6\,b^2\,x^2+56\,a^5\,b^3\,x^3+70\,a^4\,b^4\,x^4+56\,a^3\,b^5\,x^5+28\,a^2\,b^6\,x^6+8\,a\,b^7\,x^7+b^8\,x^8}","Not used",1,"-((a^3*d^3 + 35*b^3*c^3 + 15*a*b^2*c^2*d + 5*a^2*b*c*d^2)/(280*b^4) + (d^3*x^3)/(5*b) + (d*x*(a^2*d^2 + 15*b^2*c^2 + 5*a*b*c*d))/(35*b^3) + (d^2*x^2*(a*d + 5*b*c))/(10*b^2))/(a^8 + b^8*x^8 + 8*a*b^7*x^7 + 28*a^6*b^2*x^2 + 56*a^5*b^3*x^3 + 70*a^4*b^4*x^4 + 56*a^3*b^5*x^5 + 28*a^2*b^6*x^6 + 8*a^7*b*x)","B"
1273,1,997,200,0.553635,"\text{Not used}","int((a + b*x)^9*(c + d*x)^7,x)","x^5\,\left(7\,a^9\,c^3\,d^4+63\,a^8\,b\,c^4\,d^3+\frac{756\,a^7\,b^2\,c^5\,d^2}{5}+\frac{588\,a^6\,b^3\,c^6\,d}{5}+\frac{126\,a^5\,b^4\,c^7}{5}\right)+x^{13}\,\left(\frac{126\,a^4\,b^5\,d^7}{13}+\frac{588\,a^3\,b^6\,c\,d^6}{13}+\frac{756\,a^2\,b^7\,c^2\,d^5}{13}+\frac{315\,a\,b^8\,c^3\,d^4}{13}+\frac{35\,b^9\,c^4\,d^3}{13}\right)+x^8\,\left(\frac{a^9\,d^7}{8}+\frac{63\,a^8\,b\,c\,d^6}{8}+\frac{189\,a^7\,b^2\,c^2\,d^5}{2}+\frac{735\,a^6\,b^3\,c^3\,d^4}{2}+\frac{2205\,a^5\,b^4\,c^4\,d^3}{4}+\frac{1323\,a^4\,b^5\,c^5\,d^2}{4}+\frac{147\,a^3\,b^6\,c^6\,d}{2}+\frac{9\,a^2\,b^7\,c^7}{2}\right)+x^{10}\,\left(\frac{18\,a^7\,b^2\,d^7}{5}+\frac{294\,a^6\,b^3\,c\,d^6}{5}+\frac{1323\,a^5\,b^4\,c^2\,d^5}{5}+441\,a^4\,b^5\,c^3\,d^4+294\,a^3\,b^6\,c^4\,d^3+\frac{378\,a^2\,b^7\,c^5\,d^2}{5}+\frac{63\,a\,b^8\,c^6\,d}{10}+\frac{b^9\,c^7}{10}\right)+x^6\,\left(\frac{7\,a^9\,c^2\,d^5}{2}+\frac{105\,a^8\,b\,c^3\,d^4}{2}+210\,a^7\,b^2\,c^4\,d^3+294\,a^6\,b^3\,c^5\,d^2+147\,a^5\,b^4\,c^6\,d+21\,a^4\,b^5\,c^7\right)+x^{12}\,\left(\frac{21\,a^5\,b^4\,d^7}{2}+\frac{147\,a^4\,b^5\,c\,d^6}{2}+147\,a^3\,b^6\,c^2\,d^5+105\,a^2\,b^7\,c^3\,d^4+\frac{105\,a\,b^8\,c^4\,d^3}{4}+\frac{7\,b^9\,c^5\,d^2}{4}\right)+x^7\,\left(a^9\,c\,d^6+27\,a^8\,b\,c^2\,d^5+180\,a^7\,b^2\,c^3\,d^4+420\,a^6\,b^3\,c^4\,d^3+378\,a^5\,b^4\,c^5\,d^2+126\,a^4\,b^5\,c^6\,d+12\,a^3\,b^6\,c^7\right)+x^{11}\,\left(\frac{84\,a^6\,b^3\,d^7}{11}+\frac{882\,a^5\,b^4\,c\,d^6}{11}+\frac{2646\,a^4\,b^5\,c^2\,d^5}{11}+\frac{2940\,a^3\,b^6\,c^3\,d^4}{11}+\frac{1260\,a^2\,b^7\,c^4\,d^3}{11}+\frac{189\,a\,b^8\,c^5\,d^2}{11}+\frac{7\,b^9\,c^6\,d}{11}\right)+x^9\,\left(a^8\,b\,d^7+28\,a^7\,b^2\,c\,d^6+196\,a^6\,b^3\,c^2\,d^5+490\,a^5\,b^4\,c^3\,d^4+490\,a^4\,b^5\,c^4\,d^3+196\,a^3\,b^6\,c^5\,d^2+28\,a^2\,b^7\,c^6\,d+a\,b^8\,c^7\right)+a^9\,c^7\,x+\frac{b^9\,d^7\,x^{17}}{17}+\frac{7\,a^6\,c^4\,x^4\,\left(5\,a^3\,d^3+27\,a^2\,b\,c\,d^2+36\,a\,b^2\,c^2\,d+12\,b^3\,c^3\right)}{4}+\frac{b^6\,d^4\,x^{14}\,\left(12\,a^3\,d^3+36\,a^2\,b\,c\,d^2+27\,a\,b^2\,c^2\,d+5\,b^3\,c^3\right)}{2}+\frac{a^8\,c^6\,x^2\,\left(7\,a\,d+9\,b\,c\right)}{2}+\frac{b^8\,d^6\,x^{16}\,\left(9\,a\,d+7\,b\,c\right)}{16}+a^7\,c^5\,x^3\,\left(7\,a^2\,d^2+21\,a\,b\,c\,d+12\,b^2\,c^2\right)+\frac{b^7\,d^5\,x^{15}\,\left(12\,a^2\,d^2+21\,a\,b\,c\,d+7\,b^2\,c^2\right)}{5}","Not used",1,"x^5*((126*a^5*b^4*c^7)/5 + 7*a^9*c^3*d^4 + (588*a^6*b^3*c^6*d)/5 + 63*a^8*b*c^4*d^3 + (756*a^7*b^2*c^5*d^2)/5) + x^13*((126*a^4*b^5*d^7)/13 + (35*b^9*c^4*d^3)/13 + (315*a*b^8*c^3*d^4)/13 + (588*a^3*b^6*c*d^6)/13 + (756*a^2*b^7*c^2*d^5)/13) + x^8*((a^9*d^7)/8 + (9*a^2*b^7*c^7)/2 + (147*a^3*b^6*c^6*d)/2 + (1323*a^4*b^5*c^5*d^2)/4 + (2205*a^5*b^4*c^4*d^3)/4 + (735*a^6*b^3*c^3*d^4)/2 + (189*a^7*b^2*c^2*d^5)/2 + (63*a^8*b*c*d^6)/8) + x^10*((b^9*c^7)/10 + (18*a^7*b^2*d^7)/5 + (294*a^6*b^3*c*d^6)/5 + (378*a^2*b^7*c^5*d^2)/5 + 294*a^3*b^6*c^4*d^3 + 441*a^4*b^5*c^3*d^4 + (1323*a^5*b^4*c^2*d^5)/5 + (63*a*b^8*c^6*d)/10) + x^6*(21*a^4*b^5*c^7 + (7*a^9*c^2*d^5)/2 + 147*a^5*b^4*c^6*d + (105*a^8*b*c^3*d^4)/2 + 294*a^6*b^3*c^5*d^2 + 210*a^7*b^2*c^4*d^3) + x^12*((21*a^5*b^4*d^7)/2 + (7*b^9*c^5*d^2)/4 + (105*a*b^8*c^4*d^3)/4 + (147*a^4*b^5*c*d^6)/2 + 105*a^2*b^7*c^3*d^4 + 147*a^3*b^6*c^2*d^5) + x^7*(a^9*c*d^6 + 12*a^3*b^6*c^7 + 126*a^4*b^5*c^6*d + 27*a^8*b*c^2*d^5 + 378*a^5*b^4*c^5*d^2 + 420*a^6*b^3*c^4*d^3 + 180*a^7*b^2*c^3*d^4) + x^11*((7*b^9*c^6*d)/11 + (84*a^6*b^3*d^7)/11 + (189*a*b^8*c^5*d^2)/11 + (882*a^5*b^4*c*d^6)/11 + (1260*a^2*b^7*c^4*d^3)/11 + (2940*a^3*b^6*c^3*d^4)/11 + (2646*a^4*b^5*c^2*d^5)/11) + x^9*(a*b^8*c^7 + a^8*b*d^7 + 28*a^2*b^7*c^6*d + 28*a^7*b^2*c*d^6 + 196*a^3*b^6*c^5*d^2 + 490*a^4*b^5*c^4*d^3 + 490*a^5*b^4*c^3*d^4 + 196*a^6*b^3*c^2*d^5) + a^9*c^7*x + (b^9*d^7*x^17)/17 + (7*a^6*c^4*x^4*(5*a^3*d^3 + 12*b^3*c^3 + 36*a*b^2*c^2*d + 27*a^2*b*c*d^2))/4 + (b^6*d^4*x^14*(12*a^3*d^3 + 5*b^3*c^3 + 27*a*b^2*c^2*d + 36*a^2*b*c*d^2))/2 + (a^8*c^6*x^2*(7*a*d + 9*b*c))/2 + (b^8*d^6*x^16*(9*a*d + 7*b*c))/16 + a^7*c^5*x^3*(7*a^2*d^2 + 12*b^2*c^2 + 21*a*b*c*d) + (b^7*d^5*x^15*(12*a^2*d^2 + 7*b^2*c^2 + 21*a*b*c*d))/5","B"
1274,1,892,200,0.357203,"\text{Not used}","int((a + b*x)^8*(c + d*x)^7,x)","x^8\,\left(\frac{a^8\,d^7}{8}+7\,a^7\,b\,c\,d^6+\frac{147\,a^6\,b^2\,c^2\,d^5}{2}+245\,a^5\,b^3\,c^3\,d^4+\frac{1225\,a^4\,b^4\,c^4\,d^3}{4}+147\,a^3\,b^5\,c^5\,d^2+\frac{49\,a^2\,b^6\,c^6\,d}{2}+a\,b^7\,c^7\right)+x^9\,\left(\frac{8\,a^7\,b\,d^7}{9}+\frac{196\,a^6\,b^2\,c\,d^6}{9}+\frac{392\,a^5\,b^3\,c^2\,d^5}{3}+\frac{2450\,a^4\,b^4\,c^3\,d^4}{9}+\frac{1960\,a^3\,b^5\,c^4\,d^3}{9}+\frac{196\,a^2\,b^6\,c^5\,d^2}{3}+\frac{56\,a\,b^7\,c^6\,d}{9}+\frac{b^8\,c^7}{9}\right)+x^5\,\left(7\,a^8\,c^3\,d^4+56\,a^7\,b\,c^4\,d^3+\frac{588\,a^6\,b^2\,c^5\,d^2}{5}+\frac{392\,a^5\,b^3\,c^6\,d}{5}+14\,a^4\,b^4\,c^7\right)+x^{12}\,\left(\frac{35\,a^4\,b^4\,d^7}{6}+\frac{98\,a^3\,b^5\,c\,d^6}{3}+49\,a^2\,b^6\,c^2\,d^5+\frac{70\,a\,b^7\,c^3\,d^4}{3}+\frac{35\,b^8\,c^4\,d^3}{12}\right)+x^6\,\left(\frac{7\,a^8\,c^2\,d^5}{2}+\frac{140\,a^7\,b\,c^3\,d^4}{3}+\frac{490\,a^6\,b^2\,c^4\,d^3}{3}+196\,a^5\,b^3\,c^5\,d^2+\frac{245\,a^4\,b^4\,c^6\,d}{3}+\frac{28\,a^3\,b^5\,c^7}{3}\right)+x^{11}\,\left(\frac{56\,a^5\,b^3\,d^7}{11}+\frac{490\,a^4\,b^4\,c\,d^6}{11}+\frac{1176\,a^3\,b^5\,c^2\,d^5}{11}+\frac{980\,a^2\,b^6\,c^3\,d^4}{11}+\frac{280\,a\,b^7\,c^4\,d^3}{11}+\frac{21\,b^8\,c^5\,d^2}{11}\right)+x^7\,\left(a^8\,c\,d^6+24\,a^7\,b\,c^2\,d^5+140\,a^6\,b^2\,c^3\,d^4+280\,a^5\,b^3\,c^4\,d^3+210\,a^4\,b^4\,c^5\,d^2+56\,a^3\,b^5\,c^6\,d+4\,a^2\,b^6\,c^7\right)+x^{10}\,\left(\frac{14\,a^6\,b^2\,d^7}{5}+\frac{196\,a^5\,b^3\,c\,d^6}{5}+147\,a^4\,b^4\,c^2\,d^5+196\,a^3\,b^5\,c^3\,d^4+98\,a^2\,b^6\,c^4\,d^3+\frac{84\,a\,b^7\,c^5\,d^2}{5}+\frac{7\,b^8\,c^6\,d}{10}\right)+a^8\,c^7\,x+\frac{b^8\,d^7\,x^{16}}{16}+\frac{7\,a^5\,c^4\,x^4\,\left(5\,a^3\,d^3+24\,a^2\,b\,c\,d^2+28\,a\,b^2\,c^2\,d+8\,b^3\,c^3\right)}{4}+\frac{7\,b^5\,d^4\,x^{13}\,\left(8\,a^3\,d^3+28\,a^2\,b\,c\,d^2+24\,a\,b^2\,c^2\,d+5\,b^3\,c^3\right)}{13}+\frac{a^7\,c^6\,x^2\,\left(7\,a\,d+8\,b\,c\right)}{2}+\frac{b^7\,d^6\,x^{15}\,\left(8\,a\,d+7\,b\,c\right)}{15}+\frac{7\,a^6\,c^5\,x^3\,\left(3\,a^2\,d^2+8\,a\,b\,c\,d+4\,b^2\,c^2\right)}{3}+\frac{b^6\,d^5\,x^{14}\,\left(4\,a^2\,d^2+8\,a\,b\,c\,d+3\,b^2\,c^2\right)}{2}","Not used",1,"x^8*((a^8*d^7)/8 + a*b^7*c^7 + (49*a^2*b^6*c^6*d)/2 + 147*a^3*b^5*c^5*d^2 + (1225*a^4*b^4*c^4*d^3)/4 + 245*a^5*b^3*c^3*d^4 + (147*a^6*b^2*c^2*d^5)/2 + 7*a^7*b*c*d^6) + x^9*((b^8*c^7)/9 + (8*a^7*b*d^7)/9 + (196*a^6*b^2*c*d^6)/9 + (196*a^2*b^6*c^5*d^2)/3 + (1960*a^3*b^5*c^4*d^3)/9 + (2450*a^4*b^4*c^3*d^4)/9 + (392*a^5*b^3*c^2*d^5)/3 + (56*a*b^7*c^6*d)/9) + x^5*(14*a^4*b^4*c^7 + 7*a^8*c^3*d^4 + (392*a^5*b^3*c^6*d)/5 + 56*a^7*b*c^4*d^3 + (588*a^6*b^2*c^5*d^2)/5) + x^12*((35*a^4*b^4*d^7)/6 + (35*b^8*c^4*d^3)/12 + (70*a*b^7*c^3*d^4)/3 + (98*a^3*b^5*c*d^6)/3 + 49*a^2*b^6*c^2*d^5) + x^6*((28*a^3*b^5*c^7)/3 + (7*a^8*c^2*d^5)/2 + (245*a^4*b^4*c^6*d)/3 + (140*a^7*b*c^3*d^4)/3 + 196*a^5*b^3*c^5*d^2 + (490*a^6*b^2*c^4*d^3)/3) + x^11*((56*a^5*b^3*d^7)/11 + (21*b^8*c^5*d^2)/11 + (280*a*b^7*c^4*d^3)/11 + (490*a^4*b^4*c*d^6)/11 + (980*a^2*b^6*c^3*d^4)/11 + (1176*a^3*b^5*c^2*d^5)/11) + x^7*(a^8*c*d^6 + 4*a^2*b^6*c^7 + 56*a^3*b^5*c^6*d + 24*a^7*b*c^2*d^5 + 210*a^4*b^4*c^5*d^2 + 280*a^5*b^3*c^4*d^3 + 140*a^6*b^2*c^3*d^4) + x^10*((7*b^8*c^6*d)/10 + (14*a^6*b^2*d^7)/5 + (84*a*b^7*c^5*d^2)/5 + (196*a^5*b^3*c*d^6)/5 + 98*a^2*b^6*c^4*d^3 + 196*a^3*b^5*c^3*d^4 + 147*a^4*b^4*c^2*d^5) + a^8*c^7*x + (b^8*d^7*x^16)/16 + (7*a^5*c^4*x^4*(5*a^3*d^3 + 8*b^3*c^3 + 28*a*b^2*c^2*d + 24*a^2*b*c*d^2))/4 + (7*b^5*d^4*x^13*(8*a^3*d^3 + 5*b^3*c^3 + 24*a*b^2*c^2*d + 28*a^2*b*c*d^2))/13 + (a^7*c^6*x^2*(7*a*d + 8*b*c))/2 + (b^7*d^6*x^15*(8*a*d + 7*b*c))/15 + (7*a^6*c^5*x^3*(3*a^2*d^2 + 4*b^2*c^2 + 8*a*b*c*d))/3 + (b^6*d^5*x^14*(4*a^2*d^2 + 3*b^2*c^2 + 8*a*b*c*d))/2","B"
1275,1,781,200,0.401719,"\text{Not used}","int((a + b*x)^7*(c + d*x)^7,x)","x^8\,\left(\frac{a^7\,d^7}{8}+\frac{49\,a^6\,b\,c\,d^6}{8}+\frac{441\,a^5\,b^2\,c^2\,d^5}{8}+\frac{1225\,a^4\,b^3\,c^3\,d^4}{8}+\frac{1225\,a^3\,b^4\,c^4\,d^3}{8}+\frac{441\,a^2\,b^5\,c^5\,d^2}{8}+\frac{49\,a\,b^6\,c^6\,d}{8}+\frac{b^7\,c^7}{8}\right)+x^5\,\left(7\,a^7\,c^3\,d^4+49\,a^6\,b\,c^4\,d^3+\frac{441\,a^5\,b^2\,c^5\,d^2}{5}+49\,a^4\,b^3\,c^6\,d+7\,a^3\,b^4\,c^7\right)+x^{11}\,\left(\frac{35\,a^4\,b^3\,d^7}{11}+\frac{245\,a^3\,b^4\,c\,d^6}{11}+\frac{441\,a^2\,b^5\,c^2\,d^5}{11}+\frac{245\,a\,b^6\,c^3\,d^4}{11}+\frac{35\,b^7\,c^4\,d^3}{11}\right)+x^7\,\left(a^7\,c\,d^6+21\,a^6\,b\,c^2\,d^5+105\,a^5\,b^2\,c^3\,d^4+175\,a^4\,b^3\,c^4\,d^3+105\,a^3\,b^4\,c^5\,d^2+21\,a^2\,b^5\,c^6\,d+a\,b^6\,c^7\right)+x^9\,\left(\frac{7\,a^6\,b\,d^7}{9}+\frac{49\,a^5\,b^2\,c\,d^6}{3}+\frac{245\,a^4\,b^3\,c^2\,d^5}{3}+\frac{1225\,a^3\,b^4\,c^3\,d^4}{9}+\frac{245\,a^2\,b^5\,c^4\,d^3}{3}+\frac{49\,a\,b^6\,c^5\,d^2}{3}+\frac{7\,b^7\,c^6\,d}{9}\right)+x^6\,\left(\frac{7\,a^7\,c^2\,d^5}{2}+\frac{245\,a^6\,b\,c^3\,d^4}{6}+\frac{245\,a^5\,b^2\,c^4\,d^3}{2}+\frac{245\,a^4\,b^3\,c^5\,d^2}{2}+\frac{245\,a^3\,b^4\,c^6\,d}{6}+\frac{7\,a^2\,b^5\,c^7}{2}\right)+x^{10}\,\left(\frac{21\,a^5\,b^2\,d^7}{10}+\frac{49\,a^4\,b^3\,c\,d^6}{2}+\frac{147\,a^3\,b^4\,c^2\,d^5}{2}+\frac{147\,a^2\,b^5\,c^3\,d^4}{2}+\frac{49\,a\,b^6\,c^4\,d^3}{2}+\frac{21\,b^7\,c^5\,d^2}{10}\right)+a^7\,c^7\,x+\frac{b^7\,d^7\,x^{15}}{15}+\frac{7\,a^4\,c^4\,x^4\,\left(5\,a^3\,d^3+21\,a^2\,b\,c\,d^2+21\,a\,b^2\,c^2\,d+5\,b^3\,c^3\right)}{4}+\frac{7\,b^4\,d^4\,x^{12}\,\left(5\,a^3\,d^3+21\,a^2\,b\,c\,d^2+21\,a\,b^2\,c^2\,d+5\,b^3\,c^3\right)}{12}+\frac{7\,a^6\,c^6\,x^2\,\left(a\,d+b\,c\right)}{2}+\frac{b^6\,d^6\,x^{14}\,\left(a\,d+b\,c\right)}{2}+\frac{7\,a^5\,c^5\,x^3\,\left(3\,a^2\,d^2+7\,a\,b\,c\,d+3\,b^2\,c^2\right)}{3}+\frac{7\,b^5\,d^5\,x^{13}\,\left(3\,a^2\,d^2+7\,a\,b\,c\,d+3\,b^2\,c^2\right)}{13}","Not used",1,"x^8*((a^7*d^7)/8 + (b^7*c^7)/8 + (441*a^2*b^5*c^5*d^2)/8 + (1225*a^3*b^4*c^4*d^3)/8 + (1225*a^4*b^3*c^3*d^4)/8 + (441*a^5*b^2*c^2*d^5)/8 + (49*a*b^6*c^6*d)/8 + (49*a^6*b*c*d^6)/8) + x^5*(7*a^3*b^4*c^7 + 7*a^7*c^3*d^4 + 49*a^4*b^3*c^6*d + 49*a^6*b*c^4*d^3 + (441*a^5*b^2*c^5*d^2)/5) + x^11*((35*a^4*b^3*d^7)/11 + (35*b^7*c^4*d^3)/11 + (245*a*b^6*c^3*d^4)/11 + (245*a^3*b^4*c*d^6)/11 + (441*a^2*b^5*c^2*d^5)/11) + x^7*(a*b^6*c^7 + a^7*c*d^6 + 21*a^2*b^5*c^6*d + 21*a^6*b*c^2*d^5 + 105*a^3*b^4*c^5*d^2 + 175*a^4*b^3*c^4*d^3 + 105*a^5*b^2*c^3*d^4) + x^9*((7*a^6*b*d^7)/9 + (7*b^7*c^6*d)/9 + (49*a*b^6*c^5*d^2)/3 + (49*a^5*b^2*c*d^6)/3 + (245*a^2*b^5*c^4*d^3)/3 + (1225*a^3*b^4*c^3*d^4)/9 + (245*a^4*b^3*c^2*d^5)/3) + x^6*((7*a^2*b^5*c^7)/2 + (7*a^7*c^2*d^5)/2 + (245*a^3*b^4*c^6*d)/6 + (245*a^6*b*c^3*d^4)/6 + (245*a^4*b^3*c^5*d^2)/2 + (245*a^5*b^2*c^4*d^3)/2) + x^10*((21*a^5*b^2*d^7)/10 + (21*b^7*c^5*d^2)/10 + (49*a*b^6*c^4*d^3)/2 + (49*a^4*b^3*c*d^6)/2 + (147*a^2*b^5*c^3*d^4)/2 + (147*a^3*b^4*c^2*d^5)/2) + a^7*c^7*x + (b^7*d^7*x^15)/15 + (7*a^4*c^4*x^4*(5*a^3*d^3 + 5*b^3*c^3 + 21*a*b^2*c^2*d + 21*a^2*b*c*d^2))/4 + (7*b^4*d^4*x^12*(5*a^3*d^3 + 5*b^3*c^3 + 21*a*b^2*c^2*d + 21*a^2*b*c*d^2))/12 + (7*a^6*c^6*x^2*(a*d + b*c))/2 + (b^6*d^6*x^14*(a*d + b*c))/2 + (7*a^5*c^5*x^3*(3*a^2*d^2 + 3*b^2*c^2 + 7*a*b*c*d))/3 + (7*b^5*d^5*x^13*(3*a^2*d^2 + 3*b^2*c^2 + 7*a*b*c*d))/13","B"
1276,1,683,173,0.255900,"\text{Not used}","int((a + b*x)^6*(c + d*x)^7,x)","x^5\,\left(7\,a^6\,c^3\,d^4+42\,a^5\,b\,c^4\,d^3+63\,a^4\,b^2\,c^5\,d^2+28\,a^3\,b^3\,c^6\,d+3\,a^2\,b^4\,c^7\right)+x^{10}\,\left(\frac{3\,a^4\,b^2\,d^7}{2}+14\,a^3\,b^3\,c\,d^6+\frac{63\,a^2\,b^4\,c^2\,d^5}{2}+21\,a\,b^5\,c^3\,d^4+\frac{7\,b^6\,c^4\,d^3}{2}\right)+x^6\,\left(\frac{7\,a^6\,c^2\,d^5}{2}+35\,a^5\,b\,c^3\,d^4+\frac{175\,a^4\,b^2\,c^4\,d^3}{2}+70\,a^3\,b^3\,c^5\,d^2+\frac{35\,a^2\,b^4\,c^6\,d}{2}+a\,b^5\,c^7\right)+x^9\,\left(\frac{2\,a^5\,b\,d^7}{3}+\frac{35\,a^4\,b^2\,c\,d^6}{3}+\frac{140\,a^3\,b^3\,c^2\,d^5}{3}+\frac{175\,a^2\,b^4\,c^3\,d^4}{3}+\frac{70\,a\,b^5\,c^4\,d^3}{3}+\frac{7\,b^6\,c^5\,d^2}{3}\right)+x^7\,\left(a^6\,c\,d^6+18\,a^5\,b\,c^2\,d^5+75\,a^4\,b^2\,c^3\,d^4+100\,a^3\,b^3\,c^4\,d^3+45\,a^2\,b^4\,c^5\,d^2+6\,a\,b^5\,c^6\,d+\frac{b^6\,c^7}{7}\right)+x^8\,\left(\frac{a^6\,d^7}{8}+\frac{21\,a^5\,b\,c\,d^6}{4}+\frac{315\,a^4\,b^2\,c^2\,d^5}{8}+\frac{175\,a^3\,b^3\,c^3\,d^4}{2}+\frac{525\,a^2\,b^4\,c^4\,d^3}{8}+\frac{63\,a\,b^5\,c^5\,d^2}{4}+\frac{7\,b^6\,c^6\,d}{8}\right)+x^4\,\left(\frac{35\,a^6\,c^4\,d^3}{4}+\frac{63\,a^5\,b\,c^5\,d^2}{2}+\frac{105\,a^4\,b^2\,c^6\,d}{4}+5\,a^3\,b^3\,c^7\right)+x^{11}\,\left(\frac{20\,a^3\,b^3\,d^7}{11}+\frac{105\,a^2\,b^4\,c\,d^6}{11}+\frac{126\,a\,b^5\,c^2\,d^5}{11}+\frac{35\,b^6\,c^3\,d^4}{11}\right)+a^6\,c^7\,x+\frac{b^6\,d^7\,x^{14}}{14}+\frac{a^5\,c^6\,x^2\,\left(7\,a\,d+6\,b\,c\right)}{2}+\frac{b^5\,d^6\,x^{13}\,\left(6\,a\,d+7\,b\,c\right)}{13}+a^4\,c^5\,x^3\,\left(7\,a^2\,d^2+14\,a\,b\,c\,d+5\,b^2\,c^2\right)+\frac{b^4\,d^5\,x^{12}\,\left(5\,a^2\,d^2+14\,a\,b\,c\,d+7\,b^2\,c^2\right)}{4}","Not used",1,"x^5*(3*a^2*b^4*c^7 + 7*a^6*c^3*d^4 + 28*a^3*b^3*c^6*d + 42*a^5*b*c^4*d^3 + 63*a^4*b^2*c^5*d^2) + x^10*((3*a^4*b^2*d^7)/2 + (7*b^6*c^4*d^3)/2 + 21*a*b^5*c^3*d^4 + 14*a^3*b^3*c*d^6 + (63*a^2*b^4*c^2*d^5)/2) + x^6*(a*b^5*c^7 + (7*a^6*c^2*d^5)/2 + (35*a^2*b^4*c^6*d)/2 + 35*a^5*b*c^3*d^4 + 70*a^3*b^3*c^5*d^2 + (175*a^4*b^2*c^4*d^3)/2) + x^9*((2*a^5*b*d^7)/3 + (7*b^6*c^5*d^2)/3 + (70*a*b^5*c^4*d^3)/3 + (35*a^4*b^2*c*d^6)/3 + (175*a^2*b^4*c^3*d^4)/3 + (140*a^3*b^3*c^2*d^5)/3) + x^7*((b^6*c^7)/7 + a^6*c*d^6 + 18*a^5*b*c^2*d^5 + 45*a^2*b^4*c^5*d^2 + 100*a^3*b^3*c^4*d^3 + 75*a^4*b^2*c^3*d^4 + 6*a*b^5*c^6*d) + x^8*((a^6*d^7)/8 + (7*b^6*c^6*d)/8 + (63*a*b^5*c^5*d^2)/4 + (525*a^2*b^4*c^4*d^3)/8 + (175*a^3*b^3*c^3*d^4)/2 + (315*a^4*b^2*c^2*d^5)/8 + (21*a^5*b*c*d^6)/4) + x^4*(5*a^3*b^3*c^7 + (35*a^6*c^4*d^3)/4 + (105*a^4*b^2*c^6*d)/4 + (63*a^5*b*c^5*d^2)/2) + x^11*((20*a^3*b^3*d^7)/11 + (35*b^6*c^3*d^4)/11 + (126*a*b^5*c^2*d^5)/11 + (105*a^2*b^4*c*d^6)/11) + a^6*c^7*x + (b^6*d^7*x^14)/14 + (a^5*c^6*x^2*(7*a*d + 6*b*c))/2 + (b^5*d^6*x^13*(6*a*d + 7*b*c))/13 + a^4*c^5*x^3*(7*a^2*d^2 + 5*b^2*c^2 + 14*a*b*c*d) + (b^4*d^5*x^12*(5*a^2*d^2 + 7*b^2*c^2 + 14*a*b*c*d))/4","B"
1277,1,570,144,0.214218,"\text{Not used}","int((a + b*x)^5*(c + d*x)^7,x)","x^7\,\left(a^5\,c\,d^6+15\,a^4\,b\,c^2\,d^5+50\,a^3\,b^2\,c^3\,d^4+50\,a^2\,b^3\,c^4\,d^3+15\,a\,b^4\,c^5\,d^2+b^5\,c^6\,d\right)+x^6\,\left(\frac{7\,a^5\,c^2\,d^5}{2}+\frac{175\,a^4\,b\,c^3\,d^4}{6}+\frac{175\,a^3\,b^2\,c^4\,d^3}{3}+35\,a^2\,b^3\,c^5\,d^2+\frac{35\,a\,b^4\,c^6\,d}{6}+\frac{b^5\,c^7}{6}\right)+x^8\,\left(\frac{a^5\,d^7}{8}+\frac{35\,a^4\,b\,c\,d^6}{8}+\frac{105\,a^3\,b^2\,c^2\,d^5}{4}+\frac{175\,a^2\,b^3\,c^3\,d^4}{4}+\frac{175\,a\,b^4\,c^4\,d^3}{8}+\frac{21\,b^5\,c^5\,d^2}{8}\right)+x^5\,\left(7\,a^5\,c^3\,d^4+35\,a^4\,b\,c^4\,d^3+42\,a^3\,b^2\,c^5\,d^2+14\,a^2\,b^3\,c^6\,d+a\,b^4\,c^7\right)+x^9\,\left(\frac{5\,a^4\,b\,d^7}{9}+\frac{70\,a^3\,b^2\,c\,d^6}{9}+\frac{70\,a^2\,b^3\,c^2\,d^5}{3}+\frac{175\,a\,b^4\,c^3\,d^4}{9}+\frac{35\,b^5\,c^4\,d^3}{9}\right)+a^5\,c^7\,x+\frac{b^5\,d^7\,x^{13}}{13}+\frac{5\,a^2\,c^4\,x^4\,\left(7\,a^3\,d^3+21\,a^2\,b\,c\,d^2+14\,a\,b^2\,c^2\,d+2\,b^3\,c^3\right)}{4}+\frac{b^2\,d^4\,x^{10}\,\left(2\,a^3\,d^3+14\,a^2\,b\,c\,d^2+21\,a\,b^2\,c^2\,d+7\,b^3\,c^3\right)}{2}+\frac{a^4\,c^6\,x^2\,\left(7\,a\,d+5\,b\,c\right)}{2}+\frac{b^4\,d^6\,x^{12}\,\left(5\,a\,d+7\,b\,c\right)}{12}+\frac{a^3\,c^5\,x^3\,\left(21\,a^2\,d^2+35\,a\,b\,c\,d+10\,b^2\,c^2\right)}{3}+\frac{b^3\,d^5\,x^{11}\,\left(10\,a^2\,d^2+35\,a\,b\,c\,d+21\,b^2\,c^2\right)}{11}","Not used",1,"x^7*(a^5*c*d^6 + b^5*c^6*d + 15*a*b^4*c^5*d^2 + 15*a^4*b*c^2*d^5 + 50*a^2*b^3*c^4*d^3 + 50*a^3*b^2*c^3*d^4) + x^6*((b^5*c^7)/6 + (7*a^5*c^2*d^5)/2 + (175*a^4*b*c^3*d^4)/6 + 35*a^2*b^3*c^5*d^2 + (175*a^3*b^2*c^4*d^3)/3 + (35*a*b^4*c^6*d)/6) + x^8*((a^5*d^7)/8 + (21*b^5*c^5*d^2)/8 + (175*a*b^4*c^4*d^3)/8 + (175*a^2*b^3*c^3*d^4)/4 + (105*a^3*b^2*c^2*d^5)/4 + (35*a^4*b*c*d^6)/8) + x^5*(a*b^4*c^7 + 7*a^5*c^3*d^4 + 14*a^2*b^3*c^6*d + 35*a^4*b*c^4*d^3 + 42*a^3*b^2*c^5*d^2) + x^9*((5*a^4*b*d^7)/9 + (35*b^5*c^4*d^3)/9 + (175*a*b^4*c^3*d^4)/9 + (70*a^3*b^2*c*d^6)/9 + (70*a^2*b^3*c^2*d^5)/3) + a^5*c^7*x + (b^5*d^7*x^13)/13 + (5*a^2*c^4*x^4*(7*a^3*d^3 + 2*b^3*c^3 + 14*a*b^2*c^2*d + 21*a^2*b*c*d^2))/4 + (b^2*d^4*x^10*(2*a^3*d^3 + 7*b^3*c^3 + 21*a*b^2*c^2*d + 14*a^2*b*c*d^2))/2 + (a^4*c^6*x^2*(7*a*d + 5*b*c))/2 + (b^4*d^6*x^12*(5*a*d + 7*b*c))/12 + (a^3*c^5*x^3*(21*a^2*d^2 + 10*b^2*c^2 + 35*a*b*c*d))/3 + (b^3*d^5*x^11*(10*a^2*d^2 + 21*b^2*c^2 + 35*a*b*c*d))/11","B"
1278,1,470,119,0.312575,"\text{Not used}","int((a + b*x)^4*(c + d*x)^7,x)","x^5\,\left(7\,a^4\,c^3\,d^4+28\,a^3\,b\,c^4\,d^3+\frac{126\,a^2\,b^2\,c^5\,d^2}{5}+\frac{28\,a\,b^3\,c^6\,d}{5}+\frac{b^4\,c^7}{5}\right)+x^8\,\left(\frac{a^4\,d^7}{8}+\frac{7\,a^3\,b\,c\,d^6}{2}+\frac{63\,a^2\,b^2\,c^2\,d^5}{4}+\frac{35\,a\,b^3\,c^3\,d^4}{2}+\frac{35\,b^4\,c^4\,d^3}{8}\right)+x^4\,\left(\frac{35\,a^4\,c^4\,d^3}{4}+21\,a^3\,b\,c^5\,d^2+\frac{21\,a^2\,b^2\,c^6\,d}{2}+a\,b^3\,c^7\right)+x^9\,\left(\frac{4\,a^3\,b\,d^7}{9}+\frac{14\,a^2\,b^2\,c\,d^6}{3}+\frac{28\,a\,b^3\,c^2\,d^5}{3}+\frac{35\,b^4\,c^3\,d^4}{9}\right)+x^7\,\left(a^4\,c\,d^6+12\,a^3\,b\,c^2\,d^5+30\,a^2\,b^2\,c^3\,d^4+20\,a\,b^3\,c^4\,d^3+3\,b^4\,c^5\,d^2\right)+x^6\,\left(\frac{7\,a^4\,c^2\,d^5}{2}+\frac{70\,a^3\,b\,c^3\,d^4}{3}+35\,a^2\,b^2\,c^4\,d^3+14\,a\,b^3\,c^5\,d^2+\frac{7\,b^4\,c^6\,d}{6}\right)+a^4\,c^7\,x+\frac{b^4\,d^7\,x^{12}}{12}+\frac{a^3\,c^6\,x^2\,\left(7\,a\,d+4\,b\,c\right)}{2}+\frac{b^3\,d^6\,x^{11}\,\left(4\,a\,d+7\,b\,c\right)}{11}+\frac{a^2\,c^5\,x^3\,\left(21\,a^2\,d^2+28\,a\,b\,c\,d+6\,b^2\,c^2\right)}{3}+\frac{b^2\,d^5\,x^{10}\,\left(6\,a^2\,d^2+28\,a\,b\,c\,d+21\,b^2\,c^2\right)}{10}","Not used",1,"x^5*((b^4*c^7)/5 + 7*a^4*c^3*d^4 + 28*a^3*b*c^4*d^3 + (126*a^2*b^2*c^5*d^2)/5 + (28*a*b^3*c^6*d)/5) + x^8*((a^4*d^7)/8 + (35*b^4*c^4*d^3)/8 + (35*a*b^3*c^3*d^4)/2 + (63*a^2*b^2*c^2*d^5)/4 + (7*a^3*b*c*d^6)/2) + x^4*(a*b^3*c^7 + (35*a^4*c^4*d^3)/4 + (21*a^2*b^2*c^6*d)/2 + 21*a^3*b*c^5*d^2) + x^9*((4*a^3*b*d^7)/9 + (35*b^4*c^3*d^4)/9 + (28*a*b^3*c^2*d^5)/3 + (14*a^2*b^2*c*d^6)/3) + x^7*(a^4*c*d^6 + 3*b^4*c^5*d^2 + 20*a*b^3*c^4*d^3 + 12*a^3*b*c^2*d^5 + 30*a^2*b^2*c^3*d^4) + x^6*((7*b^4*c^6*d)/6 + (7*a^4*c^2*d^5)/2 + 14*a*b^3*c^5*d^2 + (70*a^3*b*c^3*d^4)/3 + 35*a^2*b^2*c^4*d^3) + a^4*c^7*x + (b^4*d^7*x^12)/12 + (a^3*c^6*x^2*(7*a*d + 4*b*c))/2 + (b^3*d^6*x^11*(4*a*d + 7*b*c))/11 + (a^2*c^5*x^3*(21*a^2*d^2 + 6*b^2*c^2 + 28*a*b*c*d))/3 + (b^2*d^5*x^10*(6*a^2*d^2 + 21*b^2*c^2 + 28*a*b*c*d))/10","B"
1279,1,356,92,0.272684,"\text{Not used}","int((a + b*x)^3*(c + d*x)^7,x)","x^7\,\left(a^3\,c\,d^6+9\,a^2\,b\,c^2\,d^5+15\,a\,b^2\,c^3\,d^4+5\,b^3\,c^4\,d^3\right)+x^5\,\left(7\,a^3\,c^3\,d^4+21\,a^2\,b\,c^4\,d^3+\frac{63\,a\,b^2\,c^5\,d^2}{5}+\frac{7\,b^3\,c^6\,d}{5}\right)+x^4\,\left(\frac{35\,a^3\,c^4\,d^3}{4}+\frac{63\,a^2\,b\,c^5\,d^2}{4}+\frac{21\,a\,b^2\,c^6\,d}{4}+\frac{b^3\,c^7}{4}\right)+x^8\,\left(\frac{a^3\,d^7}{8}+\frac{21\,a^2\,b\,c\,d^6}{8}+\frac{63\,a\,b^2\,c^2\,d^5}{8}+\frac{35\,b^3\,c^3\,d^4}{8}\right)+a^3\,c^7\,x+\frac{b^3\,d^7\,x^{11}}{11}+\frac{7\,c^2\,d^2\,x^6\,\left(a^3\,d^3+5\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{2}+\frac{a^2\,c^6\,x^2\,\left(7\,a\,d+3\,b\,c\right)}{2}+\frac{b^2\,d^6\,x^{10}\,\left(3\,a\,d+7\,b\,c\right)}{10}+a\,c^5\,x^3\,\left(7\,a^2\,d^2+7\,a\,b\,c\,d+b^2\,c^2\right)+\frac{b\,d^5\,x^9\,\left(a^2\,d^2+7\,a\,b\,c\,d+7\,b^2\,c^2\right)}{3}","Not used",1,"x^7*(a^3*c*d^6 + 5*b^3*c^4*d^3 + 15*a*b^2*c^3*d^4 + 9*a^2*b*c^2*d^5) + x^5*((7*b^3*c^6*d)/5 + 7*a^3*c^3*d^4 + (63*a*b^2*c^5*d^2)/5 + 21*a^2*b*c^4*d^3) + x^4*((b^3*c^7)/4 + (35*a^3*c^4*d^3)/4 + (63*a^2*b*c^5*d^2)/4 + (21*a*b^2*c^6*d)/4) + x^8*((a^3*d^7)/8 + (35*b^3*c^3*d^4)/8 + (63*a*b^2*c^2*d^5)/8 + (21*a^2*b*c*d^6)/8) + a^3*c^7*x + (b^3*d^7*x^11)/11 + (7*c^2*d^2*x^6*(a^3*d^3 + b^3*c^3 + 5*a*b^2*c^2*d + 5*a^2*b*c*d^2))/2 + (a^2*c^6*x^2*(7*a*d + 3*b*c))/2 + (b^2*d^6*x^10*(3*a*d + 7*b*c))/10 + a*c^5*x^3*(7*a^2*d^2 + b^2*c^2 + 7*a*b*c*d) + (b*d^5*x^9*(a^2*d^2 + 7*b^2*c^2 + 7*a*b*c*d))/3","B"
1280,1,249,65,0.107328,"\text{Not used}","int((a + b*x)^2*(c + d*x)^7,x)","x^3\,\left(7\,a^2\,c^5\,d^2+\frac{14\,a\,b\,c^6\,d}{3}+\frac{b^2\,c^7}{3}\right)+x^8\,\left(\frac{a^2\,d^7}{8}+\frac{7\,a\,b\,c\,d^6}{4}+\frac{21\,b^2\,c^2\,d^5}{8}\right)+a^2\,c^7\,x+\frac{b^2\,d^7\,x^{10}}{10}+\frac{a\,c^6\,x^2\,\left(7\,a\,d+2\,b\,c\right)}{2}+\frac{b\,d^6\,x^9\,\left(2\,a\,d+7\,b\,c\right)}{9}+\frac{7\,c^4\,d\,x^4\,\left(5\,a^2\,d^2+6\,a\,b\,c\,d+b^2\,c^2\right)}{4}+c\,d^4\,x^7\,\left(a^2\,d^2+6\,a\,b\,c\,d+5\,b^2\,c^2\right)+\frac{7\,c^3\,d^2\,x^5\,\left(5\,a^2\,d^2+10\,a\,b\,c\,d+3\,b^2\,c^2\right)}{5}+\frac{7\,c^2\,d^3\,x^6\,\left(3\,a^2\,d^2+10\,a\,b\,c\,d+5\,b^2\,c^2\right)}{6}","Not used",1,"x^3*((b^2*c^7)/3 + 7*a^2*c^5*d^2 + (14*a*b*c^6*d)/3) + x^8*((a^2*d^7)/8 + (21*b^2*c^2*d^5)/8 + (7*a*b*c*d^6)/4) + a^2*c^7*x + (b^2*d^7*x^10)/10 + (a*c^6*x^2*(7*a*d + 2*b*c))/2 + (b*d^6*x^9*(2*a*d + 7*b*c))/9 + (7*c^4*d*x^4*(5*a^2*d^2 + b^2*c^2 + 6*a*b*c*d))/4 + c*d^4*x^7*(a^2*d^2 + 5*b^2*c^2 + 6*a*b*c*d) + (7*c^3*d^2*x^5*(5*a^2*d^2 + 3*b^2*c^2 + 10*a*b*c*d))/5 + (7*c^2*d^3*x^6*(3*a^2*d^2 + 5*b^2*c^2 + 10*a*b*c*d))/6","B"
1281,1,143,38,0.078502,"\text{Not used}","int((a + b*x)*(c + d*x)^7,x)","x^2\,\left(\frac{b\,c^7}{2}+\frac{7\,a\,d\,c^6}{2}\right)+x^8\,\left(\frac{a\,d^7}{8}+\frac{7\,b\,c\,d^6}{8}\right)+\frac{b\,d^7\,x^9}{9}+a\,c^7\,x+\frac{7\,c^5\,d\,x^3\,\left(3\,a\,d+b\,c\right)}{3}+c\,d^5\,x^7\,\left(a\,d+3\,b\,c\right)+7\,c^3\,d^3\,x^5\,\left(a\,d+b\,c\right)+\frac{7\,c^4\,d^2\,x^4\,\left(5\,a\,d+3\,b\,c\right)}{4}+\frac{7\,c^2\,d^4\,x^6\,\left(3\,a\,d+5\,b\,c\right)}{6}","Not used",1,"x^2*((b*c^7)/2 + (7*a*c^6*d)/2) + x^8*((a*d^7)/8 + (7*b*c*d^6)/8) + (b*d^7*x^9)/9 + a*c^7*x + (7*c^5*d*x^3*(3*a*d + b*c))/3 + c*d^5*x^7*(a*d + 3*b*c) + 7*c^3*d^3*x^5*(a*d + b*c) + (7*c^4*d^2*x^4*(5*a*d + 3*b*c))/4 + (7*c^2*d^4*x^6*(3*a*d + 5*b*c))/6","B"
1282,1,75,14,0.057434,"\text{Not used}","int((c + d*x)^7,x)","c^7\,x+\frac{7\,c^6\,d\,x^2}{2}+7\,c^5\,d^2\,x^3+\frac{35\,c^4\,d^3\,x^4}{4}+7\,c^3\,d^4\,x^5+\frac{7\,c^2\,d^5\,x^6}{2}+c\,d^6\,x^7+\frac{d^7\,x^8}{8}","Not used",1,"c^7*x + (d^7*x^8)/8 + (7*c^6*d*x^2)/2 + c*d^6*x^7 + 7*c^5*d^2*x^3 + (35*c^4*d^3*x^4)/4 + 7*c^3*d^4*x^5 + (7*c^2*d^5*x^6)/2","B"
1283,1,509,169,0.216963,"\text{Not used}","int((c + d*x)^7/(a + b*x),x)","x\,\left(\frac{7\,c^6\,d}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{35\,c^3\,d^4}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^7}{b^2}-\frac{7\,c\,d^6}{b}\right)}{b}+\frac{21\,c^2\,d^5}{b}\right)}{b}\right)}{b}-\frac{35\,c^4\,d^3}{b}\right)}{b}+\frac{21\,c^5\,d^2}{b}\right)}{b}\right)-x^6\,\left(\frac{a\,d^7}{6\,b^2}-\frac{7\,c\,d^6}{6\,b}\right)+x^4\,\left(\frac{35\,c^3\,d^4}{4\,b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^7}{b^2}-\frac{7\,c\,d^6}{b}\right)}{b}+\frac{21\,c^2\,d^5}{b}\right)}{4\,b}\right)+x^2\,\left(\frac{a\,\left(\frac{a\,\left(\frac{35\,c^3\,d^4}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^7}{b^2}-\frac{7\,c\,d^6}{b}\right)}{b}+\frac{21\,c^2\,d^5}{b}\right)}{b}\right)}{b}-\frac{35\,c^4\,d^3}{b}\right)}{2\,b}+\frac{21\,c^5\,d^2}{2\,b}\right)+x^5\,\left(\frac{a\,\left(\frac{a\,d^7}{b^2}-\frac{7\,c\,d^6}{b}\right)}{5\,b}+\frac{21\,c^2\,d^5}{5\,b}\right)-x^3\,\left(\frac{a\,\left(\frac{35\,c^3\,d^4}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^7}{b^2}-\frac{7\,c\,d^6}{b}\right)}{b}+\frac{21\,c^2\,d^5}{b}\right)}{b}\right)}{3\,b}-\frac{35\,c^4\,d^3}{3\,b}\right)-\frac{\ln\left(a+b\,x\right)\,\left(a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7\right)}{b^8}+\frac{d^7\,x^7}{7\,b}","Not used",1,"x*((7*c^6*d)/b - (a*((a*((a*((35*c^3*d^4)/b - (a*((a*((a*d^7)/b^2 - (7*c*d^6)/b))/b + (21*c^2*d^5)/b))/b))/b - (35*c^4*d^3)/b))/b + (21*c^5*d^2)/b))/b) - x^6*((a*d^7)/(6*b^2) - (7*c*d^6)/(6*b)) + x^4*((35*c^3*d^4)/(4*b) - (a*((a*((a*d^7)/b^2 - (7*c*d^6)/b))/b + (21*c^2*d^5)/b))/(4*b)) + x^2*((a*((a*((35*c^3*d^4)/b - (a*((a*((a*d^7)/b^2 - (7*c*d^6)/b))/b + (21*c^2*d^5)/b))/b))/b - (35*c^4*d^3)/b))/(2*b) + (21*c^5*d^2)/(2*b)) + x^5*((a*((a*d^7)/b^2 - (7*c*d^6)/b))/(5*b) + (21*c^2*d^5)/(5*b)) - x^3*((a*((35*c^3*d^4)/b - (a*((a*((a*d^7)/b^2 - (7*c*d^6)/b))/b + (21*c^2*d^5)/b))/b))/(3*b) - (35*c^4*d^3)/(3*b)) - (log(a + b*x)*(a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6))/b^8 + (d^7*x^7)/(7*b)","B"
1284,1,841,187,0.240648,"\text{Not used}","int((c + d*x)^7/(a + b*x)^2,x)","x^4\,\left(\frac{a\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{2\,b}-\frac{a^2\,d^7}{4\,b^4}+\frac{21\,c^2\,d^5}{4\,b^2}\right)-x^2\,\left(\frac{a\,\left(\frac{35\,c^3\,d^4}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{b}-\frac{a^2\,d^7}{b^4}+\frac{21\,c^2\,d^5}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{b^2}\right)}{b}-\frac{35\,c^4\,d^3}{2\,b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{b}-\frac{a^2\,d^7}{b^4}+\frac{21\,c^2\,d^5}{b^2}\right)}{2\,b^2}\right)-x^5\,\left(\frac{2\,a\,d^7}{5\,b^3}-\frac{7\,c\,d^6}{5\,b^2}\right)+x\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{35\,c^3\,d^4}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{b}-\frac{a^2\,d^7}{b^4}+\frac{21\,c^2\,d^5}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{b^2}\right)}{b}-\frac{35\,c^4\,d^3}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{b}-\frac{a^2\,d^7}{b^4}+\frac{21\,c^2\,d^5}{b^2}\right)}{b^2}\right)}{b}-\frac{a^2\,\left(\frac{35\,c^3\,d^4}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{b}-\frac{a^2\,d^7}{b^4}+\frac{21\,c^2\,d^5}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{b^2}\right)}{b^2}+\frac{21\,c^5\,d^2}{b^2}\right)+x^3\,\left(\frac{35\,c^3\,d^4}{3\,b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{b}-\frac{a^2\,d^7}{b^4}+\frac{21\,c^2\,d^5}{b^2}\right)}{3\,b}+\frac{a^2\,\left(\frac{2\,a\,d^7}{b^3}-\frac{7\,c\,d^6}{b^2}\right)}{3\,b^2}\right)+\frac{a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7}{b\,\left(x\,b^8+a\,b^7\right)}+\frac{d^7\,x^6}{6\,b^2}+\frac{\ln\left(a+b\,x\right)\,\left(7\,a^6\,d^7-42\,a^5\,b\,c\,d^6+105\,a^4\,b^2\,c^2\,d^5-140\,a^3\,b^3\,c^3\,d^4+105\,a^2\,b^4\,c^4\,d^3-42\,a\,b^5\,c^5\,d^2+7\,b^6\,c^6\,d\right)}{b^8}","Not used",1,"x^4*((a*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/(2*b) - (a^2*d^7)/(4*b^4) + (21*c^2*d^5)/(4*b^2)) - x^2*((a*((35*c^3*d^4)/b^2 - (2*a*((2*a*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/b - (a^2*d^7)/b^4 + (21*c^2*d^5)/b^2))/b + (a^2*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/b^2))/b - (35*c^4*d^3)/(2*b^2) + (a^2*((2*a*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/b - (a^2*d^7)/b^4 + (21*c^2*d^5)/b^2))/(2*b^2)) - x^5*((2*a*d^7)/(5*b^3) - (7*c*d^6)/(5*b^2)) + x*((2*a*((2*a*((35*c^3*d^4)/b^2 - (2*a*((2*a*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/b - (a^2*d^7)/b^4 + (21*c^2*d^5)/b^2))/b + (a^2*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/b^2))/b - (35*c^4*d^3)/b^2 + (a^2*((2*a*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/b - (a^2*d^7)/b^4 + (21*c^2*d^5)/b^2))/b^2))/b - (a^2*((35*c^3*d^4)/b^2 - (2*a*((2*a*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/b - (a^2*d^7)/b^4 + (21*c^2*d^5)/b^2))/b + (a^2*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/b^2))/b^2 + (21*c^5*d^2)/b^2) + x^3*((35*c^3*d^4)/(3*b^2) - (2*a*((2*a*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/b - (a^2*d^7)/b^4 + (21*c^2*d^5)/b^2))/(3*b) + (a^2*((2*a*d^7)/b^3 - (7*c*d^6)/b^2))/(3*b^2)) + (a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6)/(b*(a*b^7 + b^8*x)) + (d^7*x^6)/(6*b^2) + (log(a + b*x)*(7*a^6*d^7 + 7*b^6*c^6*d - 42*a*b^5*c^5*d^2 + 105*a^2*b^4*c^4*d^3 - 140*a^3*b^3*c^3*d^4 + 105*a^4*b^2*c^2*d^5 - 42*a^5*b*c*d^6))/b^8","B"
1285,1,690,185,0.266313,"\text{Not used}","int((c + d*x)^7/(a + b*x)^3,x)","x\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^7}{b^4}-\frac{7\,c\,d^6}{b^3}\right)}{b}-\frac{3\,a^2\,d^7}{b^5}+\frac{21\,c^2\,d^5}{b^3}\right)}{b}+\frac{a^3\,d^7}{b^6}-\frac{35\,c^3\,d^4}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^7}{b^4}-\frac{7\,c\,d^6}{b^3}\right)}{b^2}\right)}{b}+\frac{35\,c^4\,d^3}{b^3}+\frac{a^3\,\left(\frac{3\,a\,d^7}{b^4}-\frac{7\,c\,d^6}{b^3}\right)}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^7}{b^4}-\frac{7\,c\,d^6}{b^3}\right)}{b}-\frac{3\,a^2\,d^7}{b^5}+\frac{21\,c^2\,d^5}{b^3}\right)}{b^2}\right)-x^4\,\left(\frac{3\,a\,d^7}{4\,b^4}-\frac{7\,c\,d^6}{4\,b^3}\right)-x^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^7}{b^4}-\frac{7\,c\,d^6}{b^3}\right)}{b}-\frac{3\,a^2\,d^7}{b^5}+\frac{21\,c^2\,d^5}{b^3}\right)}{2\,b}+\frac{a^3\,d^7}{2\,b^6}-\frac{35\,c^3\,d^4}{2\,b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^7}{b^4}-\frac{7\,c\,d^6}{b^3}\right)}{2\,b^2}\right)+x^3\,\left(\frac{a\,\left(\frac{3\,a\,d^7}{b^4}-\frac{7\,c\,d^6}{b^3}\right)}{b}-\frac{a^2\,d^7}{b^5}+\frac{7\,c^2\,d^5}{b^3}\right)-\frac{\frac{13\,a^7\,d^7-77\,a^6\,b\,c\,d^6+189\,a^5\,b^2\,c^2\,d^5-245\,a^4\,b^3\,c^3\,d^4+175\,a^3\,b^4\,c^4\,d^3-63\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d+b^7\,c^7}{2\,b}+x\,\left(7\,a^6\,d^7-42\,a^5\,b\,c\,d^6+105\,a^4\,b^2\,c^2\,d^5-140\,a^3\,b^3\,c^3\,d^4+105\,a^2\,b^4\,c^4\,d^3-42\,a\,b^5\,c^5\,d^2+7\,b^6\,c^6\,d\right)}{a^2\,b^7+2\,a\,b^8\,x+b^9\,x^2}+\frac{d^7\,x^5}{5\,b^3}-\frac{\ln\left(a+b\,x\right)\,\left(21\,a^5\,d^7-105\,a^4\,b\,c\,d^6+210\,a^3\,b^2\,c^2\,d^5-210\,a^2\,b^3\,c^3\,d^4+105\,a\,b^4\,c^4\,d^3-21\,b^5\,c^5\,d^2\right)}{b^8}","Not used",1,"x*((3*a*((3*a*((3*a*((3*a*d^7)/b^4 - (7*c*d^6)/b^3))/b - (3*a^2*d^7)/b^5 + (21*c^2*d^5)/b^3))/b + (a^3*d^7)/b^6 - (35*c^3*d^4)/b^3 - (3*a^2*((3*a*d^7)/b^4 - (7*c*d^6)/b^3))/b^2))/b + (35*c^4*d^3)/b^3 + (a^3*((3*a*d^7)/b^4 - (7*c*d^6)/b^3))/b^3 - (3*a^2*((3*a*((3*a*d^7)/b^4 - (7*c*d^6)/b^3))/b - (3*a^2*d^7)/b^5 + (21*c^2*d^5)/b^3))/b^2) - x^4*((3*a*d^7)/(4*b^4) - (7*c*d^6)/(4*b^3)) - x^2*((3*a*((3*a*((3*a*d^7)/b^4 - (7*c*d^6)/b^3))/b - (3*a^2*d^7)/b^5 + (21*c^2*d^5)/b^3))/(2*b) + (a^3*d^7)/(2*b^6) - (35*c^3*d^4)/(2*b^3) - (3*a^2*((3*a*d^7)/b^4 - (7*c*d^6)/b^3))/(2*b^2)) + x^3*((a*((3*a*d^7)/b^4 - (7*c*d^6)/b^3))/b - (a^2*d^7)/b^5 + (7*c^2*d^5)/b^3) - ((13*a^7*d^7 + b^7*c^7 - 63*a^2*b^5*c^5*d^2 + 175*a^3*b^4*c^4*d^3 - 245*a^4*b^3*c^3*d^4 + 189*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 77*a^6*b*c*d^6)/(2*b) + x*(7*a^6*d^7 + 7*b^6*c^6*d - 42*a*b^5*c^5*d^2 + 105*a^2*b^4*c^4*d^3 - 140*a^3*b^3*c^3*d^4 + 105*a^4*b^2*c^2*d^5 - 42*a^5*b*c*d^6))/(a^2*b^7 + b^9*x^2 + 2*a*b^8*x) + (d^7*x^5)/(5*b^3) - (log(a + b*x)*(21*a^5*d^7 - 21*b^5*c^5*d^2 + 105*a*b^4*c^4*d^3 - 210*a^2*b^3*c^3*d^4 + 210*a^3*b^2*c^2*d^5 - 105*a^4*b*c*d^6))/b^8","B"
1286,1,559,187,0.288853,"\text{Not used}","int((c + d*x)^7/(a + b*x)^4,x)","x^2\,\left(\frac{2\,a\,\left(\frac{4\,a\,d^7}{b^5}-\frac{7\,c\,d^6}{b^4}\right)}{b}-\frac{3\,a^2\,d^7}{b^6}+\frac{21\,c^2\,d^5}{2\,b^4}\right)-x^3\,\left(\frac{4\,a\,d^7}{3\,b^5}-\frac{7\,c\,d^6}{3\,b^4}\right)-\frac{\frac{-107\,a^7\,d^7+518\,a^6\,b\,c\,d^6-987\,a^5\,b^2\,c^2\,d^5+910\,a^4\,b^3\,c^3\,d^4-385\,a^3\,b^4\,c^4\,d^3+42\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d+2\,b^7\,c^7}{6\,b}+x\,\left(-\frac{77\,a^6\,d^7}{2}+189\,a^5\,b\,c\,d^6-\frac{735\,a^4\,b^2\,c^2\,d^5}{2}+350\,a^3\,b^3\,c^3\,d^4-\frac{315\,a^2\,b^4\,c^4\,d^3}{2}+21\,a\,b^5\,c^5\,d^2+\frac{7\,b^6\,c^6\,d}{2}\right)-x^2\,\left(21\,a^5\,b\,d^7-105\,a^4\,b^2\,c\,d^6+210\,a^3\,b^3\,c^2\,d^5-210\,a^2\,b^4\,c^3\,d^4+105\,a\,b^5\,c^4\,d^3-21\,b^6\,c^5\,d^2\right)}{a^3\,b^7+3\,a^2\,b^8\,x+3\,a\,b^9\,x^2+b^{10}\,x^3}-x\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^7}{b^5}-\frac{7\,c\,d^6}{b^4}\right)}{b}-\frac{6\,a^2\,d^7}{b^6}+\frac{21\,c^2\,d^5}{b^4}\right)}{b}+\frac{4\,a^3\,d^7}{b^7}-\frac{35\,c^3\,d^4}{b^4}-\frac{6\,a^2\,\left(\frac{4\,a\,d^7}{b^5}-\frac{7\,c\,d^6}{b^4}\right)}{b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(35\,a^4\,d^7-140\,a^3\,b\,c\,d^6+210\,a^2\,b^2\,c^2\,d^5-140\,a\,b^3\,c^3\,d^4+35\,b^4\,c^4\,d^3\right)}{b^8}+\frac{d^7\,x^4}{4\,b^4}","Not used",1,"x^2*((2*a*((4*a*d^7)/b^5 - (7*c*d^6)/b^4))/b - (3*a^2*d^7)/b^6 + (21*c^2*d^5)/(2*b^4)) - x^3*((4*a*d^7)/(3*b^5) - (7*c*d^6)/(3*b^4)) - ((2*b^7*c^7 - 107*a^7*d^7 + 42*a^2*b^5*c^5*d^2 - 385*a^3*b^4*c^4*d^3 + 910*a^4*b^3*c^3*d^4 - 987*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d + 518*a^6*b*c*d^6)/(6*b) + x*((7*b^6*c^6*d)/2 - (77*a^6*d^7)/2 + 21*a*b^5*c^5*d^2 - (315*a^2*b^4*c^4*d^3)/2 + 350*a^3*b^3*c^3*d^4 - (735*a^4*b^2*c^2*d^5)/2 + 189*a^5*b*c*d^6) - x^2*(21*a^5*b*d^7 - 21*b^6*c^5*d^2 + 105*a*b^5*c^4*d^3 - 105*a^4*b^2*c*d^6 - 210*a^2*b^4*c^3*d^4 + 210*a^3*b^3*c^2*d^5))/(a^3*b^7 + b^10*x^3 + 3*a^2*b^8*x + 3*a*b^9*x^2) - x*((4*a*((4*a*((4*a*d^7)/b^5 - (7*c*d^6)/b^4))/b - (6*a^2*d^7)/b^6 + (21*c^2*d^5)/b^4))/b + (4*a^3*d^7)/b^7 - (35*c^3*d^4)/b^4 - (6*a^2*((4*a*d^7)/b^5 - (7*c*d^6)/b^4))/b^2) + (log(a + b*x)*(35*a^4*d^7 + 35*b^4*c^4*d^3 - 140*a*b^3*c^3*d^4 + 210*a^2*b^2*c^2*d^5 - 140*a^3*b*c*d^6))/b^8 + (d^7*x^4)/(4*b^4)","B"
1287,1,512,187,0.771695,"\text{Not used}","int((c + d*x)^7/(a + b*x)^5,x)","x\,\left(\frac{5\,a\,\left(\frac{5\,a\,d^7}{b^6}-\frac{7\,c\,d^6}{b^5}\right)}{b}-\frac{10\,a^2\,d^7}{b^7}+\frac{21\,c^2\,d^5}{b^5}\right)-x^2\,\left(\frac{5\,a\,d^7}{2\,b^6}-\frac{7\,c\,d^6}{2\,b^5}\right)-\frac{\frac{319\,a^7\,d^7-1197\,a^6\,b\,c\,d^6+1617\,a^5\,b^2\,c^2\,d^5-875\,a^4\,b^3\,c^3\,d^4+105\,a^3\,b^4\,c^4\,d^3+21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d+3\,b^7\,c^7}{12\,b}+x\,\left(\frac{259\,a^6\,d^7}{3}-329\,a^5\,b\,c\,d^6+455\,a^4\,b^2\,c^2\,d^5-\frac{770\,a^3\,b^3\,c^3\,d^4}{3}+35\,a^2\,b^4\,c^4\,d^3+7\,a\,b^5\,c^5\,d^2+\frac{7\,b^6\,c^6\,d}{3}\right)+x^3\,\left(35\,a^4\,b^2\,d^7-140\,a^3\,b^3\,c\,d^6+210\,a^2\,b^4\,c^2\,d^5-140\,a\,b^5\,c^3\,d^4+35\,b^6\,c^4\,d^3\right)+x^2\,\left(\frac{189\,a^5\,b\,d^7}{2}-\frac{735\,a^4\,b^2\,c\,d^6}{2}+525\,a^3\,b^3\,c^2\,d^5-315\,a^2\,b^4\,c^3\,d^4+\frac{105\,a\,b^5\,c^4\,d^3}{2}+\frac{21\,b^6\,c^5\,d^2}{2}\right)}{a^4\,b^7+4\,a^3\,b^8\,x+6\,a^2\,b^9\,x^2+4\,a\,b^{10}\,x^3+b^{11}\,x^4}-\frac{\ln\left(a+b\,x\right)\,\left(35\,a^3\,d^7-105\,a^2\,b\,c\,d^6+105\,a\,b^2\,c^2\,d^5-35\,b^3\,c^3\,d^4\right)}{b^8}+\frac{d^7\,x^3}{3\,b^5}","Not used",1,"x*((5*a*((5*a*d^7)/b^6 - (7*c*d^6)/b^5))/b - (10*a^2*d^7)/b^7 + (21*c^2*d^5)/b^5) - x^2*((5*a*d^7)/(2*b^6) - (7*c*d^6)/(2*b^5)) - ((319*a^7*d^7 + 3*b^7*c^7 + 21*a^2*b^5*c^5*d^2 + 105*a^3*b^4*c^4*d^3 - 875*a^4*b^3*c^3*d^4 + 1617*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 1197*a^6*b*c*d^6)/(12*b) + x*((259*a^6*d^7)/3 + (7*b^6*c^6*d)/3 + 7*a*b^5*c^5*d^2 + 35*a^2*b^4*c^4*d^3 - (770*a^3*b^3*c^3*d^4)/3 + 455*a^4*b^2*c^2*d^5 - 329*a^5*b*c*d^6) + x^3*(35*a^4*b^2*d^7 + 35*b^6*c^4*d^3 - 140*a*b^5*c^3*d^4 - 140*a^3*b^3*c*d^6 + 210*a^2*b^4*c^2*d^5) + x^2*((189*a^5*b*d^7)/2 + (21*b^6*c^5*d^2)/2 + (105*a*b^5*c^4*d^3)/2 - (735*a^4*b^2*c*d^6)/2 - 315*a^2*b^4*c^3*d^4 + 525*a^3*b^3*c^2*d^5))/(a^4*b^7 + b^11*x^4 + 4*a^3*b^8*x + 4*a*b^10*x^3 + 6*a^2*b^9*x^2) - (log(a + b*x)*(35*a^3*d^7 - 35*b^3*c^3*d^4 + 105*a*b^2*c^2*d^5 - 105*a^2*b*c*d^6))/b^8 + (d^7*x^3)/(3*b^5)","B"
1288,1,508,181,0.338553,"\text{Not used}","int((c + d*x)^7/(a + b*x)^6,x)","\frac{\ln\left(a+b\,x\right)\,\left(21\,a^2\,d^7-42\,a\,b\,c\,d^6+21\,b^2\,c^2\,d^5\right)}{b^8}-x\,\left(\frac{6\,a\,d^7}{b^7}-\frac{7\,c\,d^6}{b^6}\right)-\frac{\frac{-459\,a^7\,d^7+1218\,a^6\,b\,c\,d^6-959\,a^5\,b^2\,c^2\,d^5+140\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3+14\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d+4\,b^7\,c^7}{20\,b}+x\,\left(-\frac{399\,a^6\,d^7}{4}+\frac{539\,a^5\,b\,c\,d^6}{2}-\frac{875\,a^4\,b^2\,c^2\,d^5}{4}+35\,a^3\,b^3\,c^3\,d^4+\frac{35\,a^2\,b^4\,c^4\,d^3}{4}+\frac{7\,a\,b^5\,c^5\,d^2}{2}+\frac{7\,b^6\,c^6\,d}{4}\right)+x^3\,\left(-\frac{245\,a^4\,b^2\,d^7}{2}+350\,a^3\,b^3\,c\,d^6-315\,a^2\,b^4\,c^2\,d^5+70\,a\,b^5\,c^3\,d^4+\frac{35\,b^6\,c^4\,d^3}{2}\right)+x^2\,\left(-\frac{329\,a^5\,b\,d^7}{2}+455\,a^4\,b^2\,c\,d^6-385\,a^3\,b^3\,c^2\,d^5+70\,a^2\,b^4\,c^3\,d^4+\frac{35\,a\,b^5\,c^4\,d^3}{2}+7\,b^6\,c^5\,d^2\right)-x^4\,\left(35\,a^3\,b^3\,d^7-105\,a^2\,b^4\,c\,d^6+105\,a\,b^5\,c^2\,d^5-35\,b^6\,c^3\,d^4\right)}{a^5\,b^7+5\,a^4\,b^8\,x+10\,a^3\,b^9\,x^2+10\,a^2\,b^{10}\,x^3+5\,a\,b^{11}\,x^4+b^{12}\,x^5}+\frac{d^7\,x^2}{2\,b^6}","Not used",1,"(log(a + b*x)*(21*a^2*d^7 + 21*b^2*c^2*d^5 - 42*a*b*c*d^6))/b^8 - x*((6*a*d^7)/b^7 - (7*c*d^6)/b^6) - ((4*b^7*c^7 - 459*a^7*d^7 + 14*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 + 140*a^4*b^3*c^3*d^4 - 959*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d + 1218*a^6*b*c*d^6)/(20*b) + x*((7*b^6*c^6*d)/4 - (399*a^6*d^7)/4 + (7*a*b^5*c^5*d^2)/2 + (35*a^2*b^4*c^4*d^3)/4 + 35*a^3*b^3*c^3*d^4 - (875*a^4*b^2*c^2*d^5)/4 + (539*a^5*b*c*d^6)/2) + x^3*((35*b^6*c^4*d^3)/2 - (245*a^4*b^2*d^7)/2 + 70*a*b^5*c^3*d^4 + 350*a^3*b^3*c*d^6 - 315*a^2*b^4*c^2*d^5) + x^2*(7*b^6*c^5*d^2 - (329*a^5*b*d^7)/2 + (35*a*b^5*c^4*d^3)/2 + 455*a^4*b^2*c*d^6 + 70*a^2*b^4*c^3*d^4 - 385*a^3*b^3*c^2*d^5) - x^4*(35*a^3*b^3*d^7 - 35*b^6*c^3*d^4 + 105*a*b^5*c^2*d^5 - 105*a^2*b^4*c*d^6))/(a^5*b^7 + b^12*x^5 + 5*a^4*b^8*x + 5*a*b^11*x^4 + 10*a^3*b^9*x^2 + 10*a^2*b^10*x^3) + (d^7*x^2)/(2*b^6)","B"
1289,1,517,186,0.369001,"\text{Not used}","int((c + d*x)^7/(a + b*x)^7,x)","\frac{d^7\,x}{b^7}-\frac{\ln\left(a+b\,x\right)\,\left(7\,a\,d^7-7\,b\,c\,d^6\right)}{b^8}-\frac{\frac{669\,a^7\,d^7-1029\,a^6\,b\,c\,d^6+210\,a^5\,b^2\,c^2\,d^5+70\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3+21\,a^2\,b^5\,c^5\,d^2+14\,a\,b^6\,c^6\,d+10\,b^7\,c^7}{60\,b}+x\,\left(\frac{609\,a^6\,d^7}{10}-\frac{959\,a^5\,b\,c\,d^6}{10}+21\,a^4\,b^2\,c^2\,d^5+7\,a^3\,b^3\,c^3\,d^4+\frac{7\,a^2\,b^4\,c^4\,d^3}{2}+\frac{21\,a\,b^5\,c^5\,d^2}{10}+\frac{7\,b^6\,c^6\,d}{5}\right)+x^3\,\left(\frac{455\,a^4\,b^2\,d^7}{3}-\frac{770\,a^3\,b^3\,c\,d^6}{3}+70\,a^2\,b^4\,c^2\,d^5+\frac{70\,a\,b^5\,c^3\,d^4}{3}+\frac{35\,b^6\,c^4\,d^3}{3}\right)+x^2\,\left(\frac{539\,a^5\,b\,d^7}{4}-\frac{875\,a^4\,b^2\,c\,d^6}{4}+\frac{105\,a^3\,b^3\,c^2\,d^5}{2}+\frac{35\,a^2\,b^4\,c^3\,d^4}{2}+\frac{35\,a\,b^5\,c^4\,d^3}{4}+\frac{21\,b^6\,c^5\,d^2}{4}\right)+x^5\,\left(21\,a^2\,b^4\,d^7-42\,a\,b^5\,c\,d^6+21\,b^6\,c^2\,d^5\right)+x^4\,\left(\frac{175\,a^3\,b^3\,d^7}{2}-\frac{315\,a^2\,b^4\,c\,d^6}{2}+\frac{105\,a\,b^5\,c^2\,d^5}{2}+\frac{35\,b^6\,c^3\,d^4}{2}\right)}{a^6\,b^7+6\,a^5\,b^8\,x+15\,a^4\,b^9\,x^2+20\,a^3\,b^{10}\,x^3+15\,a^2\,b^{11}\,x^4+6\,a\,b^{12}\,x^5+b^{13}\,x^6}","Not used",1,"(d^7*x)/b^7 - (log(a + b*x)*(7*a*d^7 - 7*b*c*d^6))/b^8 - ((669*a^7*d^7 + 10*b^7*c^7 + 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 + 70*a^4*b^3*c^3*d^4 + 210*a^5*b^2*c^2*d^5 + 14*a*b^6*c^6*d - 1029*a^6*b*c*d^6)/(60*b) + x*((609*a^6*d^7)/10 + (7*b^6*c^6*d)/5 + (21*a*b^5*c^5*d^2)/10 + (7*a^2*b^4*c^4*d^3)/2 + 7*a^3*b^3*c^3*d^4 + 21*a^4*b^2*c^2*d^5 - (959*a^5*b*c*d^6)/10) + x^3*((455*a^4*b^2*d^7)/3 + (35*b^6*c^4*d^3)/3 + (70*a*b^5*c^3*d^4)/3 - (770*a^3*b^3*c*d^6)/3 + 70*a^2*b^4*c^2*d^5) + x^2*((539*a^5*b*d^7)/4 + (21*b^6*c^5*d^2)/4 + (35*a*b^5*c^4*d^3)/4 - (875*a^4*b^2*c*d^6)/4 + (35*a^2*b^4*c^3*d^4)/2 + (105*a^3*b^3*c^2*d^5)/2) + x^5*(21*a^2*b^4*d^7 + 21*b^6*c^2*d^5 - 42*a*b^5*c*d^6) + x^4*((175*a^3*b^3*d^7)/2 + (35*b^6*c^3*d^4)/2 + (105*a*b^5*c^2*d^5)/2 - (315*a^2*b^4*c*d^6)/2))/(a^6*b^7 + b^13*x^6 + 6*a^5*b^8*x + 6*a*b^12*x^5 + 15*a^4*b^9*x^2 + 20*a^3*b^10*x^3 + 15*a^2*b^11*x^4)","B"
1290,1,461,194,0.353057,"\text{Not used}","int((c + d*x)^7/(a + b*x)^8,x)","\frac{d^7\,\ln\left(a+b\,x\right)}{b^8}-\frac{x\,\left(-\frac{343\,a^6\,b\,d^7}{20}+7\,a^5\,b^2\,c\,d^6+\frac{7\,a^4\,b^3\,c^2\,d^5}{2}+\frac{7\,a^3\,b^4\,c^3\,d^4}{3}+\frac{7\,a^2\,b^5\,c^4\,d^3}{4}+\frac{7\,a\,b^6\,c^5\,d^2}{5}+\frac{7\,b^7\,c^6\,d}{6}\right)-x^6\,\left(7\,a\,b^6\,d^7-7\,b^7\,c\,d^6\right)+x^3\,\left(-\frac{875\,a^4\,b^3\,d^7}{12}+35\,a^3\,b^4\,c\,d^6+\frac{35\,a^2\,b^5\,c^2\,d^5}{2}+\frac{35\,a\,b^6\,c^3\,d^4}{3}+\frac{35\,b^7\,c^4\,d^3}{4}\right)+x^5\,\left(-\frac{63\,a^2\,b^5\,d^7}{2}+21\,a\,b^6\,c\,d^6+\frac{21\,b^7\,c^2\,d^5}{2}\right)+x^2\,\left(-\frac{959\,a^5\,b^2\,d^7}{20}+21\,a^4\,b^3\,c\,d^6+\frac{21\,a^3\,b^4\,c^2\,d^5}{2}+7\,a^2\,b^5\,c^3\,d^4+\frac{21\,a\,b^6\,c^4\,d^3}{4}+\frac{21\,b^7\,c^5\,d^2}{5}\right)-\frac{363\,a^7\,d^7}{140}+\frac{b^7\,c^7}{7}+x^4\,\left(-\frac{385\,a^3\,b^4\,d^7}{6}+35\,a^2\,b^5\,c\,d^6+\frac{35\,a\,b^6\,c^2\,d^5}{2}+\frac{35\,b^7\,c^3\,d^4}{3}\right)+\frac{a^2\,b^5\,c^5\,d^2}{5}+\frac{a^3\,b^4\,c^4\,d^3}{4}+\frac{a^4\,b^3\,c^3\,d^4}{3}+\frac{a^5\,b^2\,c^2\,d^5}{2}+\frac{a\,b^6\,c^6\,d}{6}+a^6\,b\,c\,d^6}{b^8\,{\left(a+b\,x\right)}^7}","Not used",1,"(d^7*log(a + b*x))/b^8 - (x*((7*b^7*c^6*d)/6 - (343*a^6*b*d^7)/20 + (7*a*b^6*c^5*d^2)/5 + 7*a^5*b^2*c*d^6 + (7*a^2*b^5*c^4*d^3)/4 + (7*a^3*b^4*c^3*d^4)/3 + (7*a^4*b^3*c^2*d^5)/2) - x^6*(7*a*b^6*d^7 - 7*b^7*c*d^6) + x^3*((35*b^7*c^4*d^3)/4 - (875*a^4*b^3*d^7)/12 + (35*a*b^6*c^3*d^4)/3 + 35*a^3*b^4*c*d^6 + (35*a^2*b^5*c^2*d^5)/2) + x^5*((21*b^7*c^2*d^5)/2 - (63*a^2*b^5*d^7)/2 + 21*a*b^6*c*d^6) + x^2*((21*b^7*c^5*d^2)/5 - (959*a^5*b^2*d^7)/20 + (21*a*b^6*c^4*d^3)/4 + 21*a^4*b^3*c*d^6 + 7*a^2*b^5*c^3*d^4 + (21*a^3*b^4*c^2*d^5)/2) - (363*a^7*d^7)/140 + (b^7*c^7)/7 + x^4*((35*b^7*c^3*d^4)/3 - (385*a^3*b^4*d^7)/6 + (35*a*b^6*c^2*d^5)/2 + 35*a^2*b^5*c*d^6) + (a^2*b^5*c^5*d^2)/5 + (a^3*b^4*c^4*d^3)/4 + (a^4*b^3*c^3*d^4)/3 + (a^5*b^2*c^2*d^5)/2 + (a*b^6*c^6*d)/6 + a^6*b*c*d^6)/(b^8*(a + b*x)^7)","B"
1291,1,571,28,0.169147,"\text{Not used}","int((c + d*x)^7/(a + b*x)^9,x)","-\frac{a^7\,d^7+a^6\,b\,c\,d^6+8\,a^6\,b\,d^7\,x+a^5\,b^2\,c^2\,d^5+8\,a^5\,b^2\,c\,d^6\,x+28\,a^5\,b^2\,d^7\,x^2+a^4\,b^3\,c^3\,d^4+8\,a^4\,b^3\,c^2\,d^5\,x+28\,a^4\,b^3\,c\,d^6\,x^2+56\,a^4\,b^3\,d^7\,x^3+a^3\,b^4\,c^4\,d^3+8\,a^3\,b^4\,c^3\,d^4\,x+28\,a^3\,b^4\,c^2\,d^5\,x^2+56\,a^3\,b^4\,c\,d^6\,x^3+70\,a^3\,b^4\,d^7\,x^4+a^2\,b^5\,c^5\,d^2+8\,a^2\,b^5\,c^4\,d^3\,x+28\,a^2\,b^5\,c^3\,d^4\,x^2+56\,a^2\,b^5\,c^2\,d^5\,x^3+70\,a^2\,b^5\,c\,d^6\,x^4+56\,a^2\,b^5\,d^7\,x^5+a\,b^6\,c^6\,d+8\,a\,b^6\,c^5\,d^2\,x+28\,a\,b^6\,c^4\,d^3\,x^2+56\,a\,b^6\,c^3\,d^4\,x^3+70\,a\,b^6\,c^2\,d^5\,x^4+56\,a\,b^6\,c\,d^6\,x^5+28\,a\,b^6\,d^7\,x^6+b^7\,c^7+8\,b^7\,c^6\,d\,x+28\,b^7\,c^5\,d^2\,x^2+56\,b^7\,c^4\,d^3\,x^3+70\,b^7\,c^3\,d^4\,x^4+56\,b^7\,c^2\,d^5\,x^5+28\,b^7\,c\,d^6\,x^6+8\,b^7\,d^7\,x^7}{8\,a^8\,b^8+64\,a^7\,b^9\,x+224\,a^6\,b^{10}\,x^2+448\,a^5\,b^{11}\,x^3+560\,a^4\,b^{12}\,x^4+448\,a^3\,b^{13}\,x^5+224\,a^2\,b^{14}\,x^6+64\,a\,b^{15}\,x^7+8\,b^{16}\,x^8}","Not used",1,"-(a^7*d^7 + b^7*c^7 + 8*b^7*d^7*x^7 + 28*a*b^6*d^7*x^6 + 28*b^7*c*d^6*x^6 + a^2*b^5*c^5*d^2 + a^3*b^4*c^4*d^3 + a^4*b^3*c^3*d^4 + a^5*b^2*c^2*d^5 + 28*a^5*b^2*d^7*x^2 + 56*a^4*b^3*d^7*x^3 + 70*a^3*b^4*d^7*x^4 + 56*a^2*b^5*d^7*x^5 + 28*b^7*c^5*d^2*x^2 + 56*b^7*c^4*d^3*x^3 + 70*b^7*c^3*d^4*x^4 + 56*b^7*c^2*d^5*x^5 + a*b^6*c^6*d + a^6*b*c*d^6 + 8*a^6*b*d^7*x + 8*b^7*c^6*d*x + 28*a^2*b^5*c^3*d^4*x^2 + 28*a^3*b^4*c^2*d^5*x^2 + 56*a^2*b^5*c^2*d^5*x^3 + 8*a*b^6*c^5*d^2*x + 8*a^5*b^2*c*d^6*x + 56*a*b^6*c*d^6*x^5 + 8*a^2*b^5*c^4*d^3*x + 8*a^3*b^4*c^3*d^4*x + 8*a^4*b^3*c^2*d^5*x + 28*a*b^6*c^4*d^3*x^2 + 28*a^4*b^3*c*d^6*x^2 + 56*a*b^6*c^3*d^4*x^3 + 56*a^3*b^4*c*d^6*x^3 + 70*a*b^6*c^2*d^5*x^4 + 70*a^2*b^5*c*d^6*x^4)/(8*a^8*b^8 + 8*b^16*x^8 + 64*a^7*b^9*x + 64*a*b^15*x^7 + 224*a^6*b^10*x^2 + 448*a^5*b^11*x^3 + 560*a^4*b^12*x^4 + 448*a^3*b^13*x^5 + 224*a^2*b^14*x^6)","B"
1292,1,39,58,0.146349,"\text{Not used}","int((c + d*x)^7/(a + b*x)^10,x)","\frac{{\left(c+d\,x\right)}^8\,\left(9\,a\,d-8\,b\,c+b\,d\,x\right)}{72\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^9}","Not used",1,"((c + d*x)^8*(9*a*d - 8*b*c + b*d*x))/(72*(a*d - b*c)^2*(a + b*x)^9)","B"
1293,1,600,89,0.446245,"\text{Not used}","int((c + d*x)^7/(a + b*x)^11,x)","-\frac{a^7\,d^7+3\,a^6\,b\,c\,d^6+10\,a^6\,b\,d^7\,x+6\,a^5\,b^2\,c^2\,d^5+30\,a^5\,b^2\,c\,d^6\,x+45\,a^5\,b^2\,d^7\,x^2+10\,a^4\,b^3\,c^3\,d^4+60\,a^4\,b^3\,c^2\,d^5\,x+135\,a^4\,b^3\,c\,d^6\,x^2+120\,a^4\,b^3\,d^7\,x^3+15\,a^3\,b^4\,c^4\,d^3+100\,a^3\,b^4\,c^3\,d^4\,x+270\,a^3\,b^4\,c^2\,d^5\,x^2+360\,a^3\,b^4\,c\,d^6\,x^3+210\,a^3\,b^4\,d^7\,x^4+21\,a^2\,b^5\,c^5\,d^2+150\,a^2\,b^5\,c^4\,d^3\,x+450\,a^2\,b^5\,c^3\,d^4\,x^2+720\,a^2\,b^5\,c^2\,d^5\,x^3+630\,a^2\,b^5\,c\,d^6\,x^4+252\,a^2\,b^5\,d^7\,x^5+28\,a\,b^6\,c^6\,d+210\,a\,b^6\,c^5\,d^2\,x+675\,a\,b^6\,c^4\,d^3\,x^2+1200\,a\,b^6\,c^3\,d^4\,x^3+1260\,a\,b^6\,c^2\,d^5\,x^4+756\,a\,b^6\,c\,d^6\,x^5+210\,a\,b^6\,d^7\,x^6+36\,b^7\,c^7+280\,b^7\,c^6\,d\,x+945\,b^7\,c^5\,d^2\,x^2+1800\,b^7\,c^4\,d^3\,x^3+2100\,b^7\,c^3\,d^4\,x^4+1512\,b^7\,c^2\,d^5\,x^5+630\,b^7\,c\,d^6\,x^6+120\,b^7\,d^7\,x^7}{360\,a^{10}\,b^8+3600\,a^9\,b^9\,x+16200\,a^8\,b^{10}\,x^2+43200\,a^7\,b^{11}\,x^3+75600\,a^6\,b^{12}\,x^4+90720\,a^5\,b^{13}\,x^5+75600\,a^4\,b^{14}\,x^6+43200\,a^3\,b^{15}\,x^7+16200\,a^2\,b^{16}\,x^8+3600\,a\,b^{17}\,x^9+360\,b^{18}\,x^{10}}","Not used",1,"-(a^7*d^7 + 36*b^7*c^7 + 120*b^7*d^7*x^7 + 210*a*b^6*d^7*x^6 + 630*b^7*c*d^6*x^6 + 21*a^2*b^5*c^5*d^2 + 15*a^3*b^4*c^4*d^3 + 10*a^4*b^3*c^3*d^4 + 6*a^5*b^2*c^2*d^5 + 45*a^5*b^2*d^7*x^2 + 120*a^4*b^3*d^7*x^3 + 210*a^3*b^4*d^7*x^4 + 252*a^2*b^5*d^7*x^5 + 945*b^7*c^5*d^2*x^2 + 1800*b^7*c^4*d^3*x^3 + 2100*b^7*c^3*d^4*x^4 + 1512*b^7*c^2*d^5*x^5 + 28*a*b^6*c^6*d + 3*a^6*b*c*d^6 + 10*a^6*b*d^7*x + 280*b^7*c^6*d*x + 450*a^2*b^5*c^3*d^4*x^2 + 270*a^3*b^4*c^2*d^5*x^2 + 720*a^2*b^5*c^2*d^5*x^3 + 210*a*b^6*c^5*d^2*x + 30*a^5*b^2*c*d^6*x + 756*a*b^6*c*d^6*x^5 + 150*a^2*b^5*c^4*d^3*x + 100*a^3*b^4*c^3*d^4*x + 60*a^4*b^3*c^2*d^5*x + 675*a*b^6*c^4*d^3*x^2 + 135*a^4*b^3*c*d^6*x^2 + 1200*a*b^6*c^3*d^4*x^3 + 360*a^3*b^4*c*d^6*x^3 + 1260*a*b^6*c^2*d^5*x^4 + 630*a^2*b^5*c*d^6*x^4)/(360*a^10*b^8 + 360*b^18*x^10 + 3600*a^9*b^9*x + 3600*a*b^17*x^9 + 16200*a^8*b^10*x^2 + 43200*a^7*b^11*x^3 + 75600*a^6*b^12*x^4 + 90720*a^5*b^13*x^5 + 75600*a^4*b^14*x^6 + 43200*a^3*b^15*x^7 + 16200*a^2*b^16*x^8)","B"
1294,1,548,120,0.517548,"\text{Not used}","int((c + d*x)^7/(a + b*x)^12,x)","-\frac{\frac{a^7\,d^7+4\,a^6\,b\,c\,d^6+10\,a^5\,b^2\,c^2\,d^5+20\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3+56\,a^2\,b^5\,c^5\,d^2+84\,a\,b^6\,c^6\,d+120\,b^7\,c^7}{1320\,b^8}+\frac{d^7\,x^7}{4\,b}+\frac{d^2\,x^2\,\left(a^5\,d^5+4\,a^4\,b\,c\,d^4+10\,a^3\,b^2\,c^2\,d^3+20\,a^2\,b^3\,c^3\,d^2+35\,a\,b^4\,c^4\,d+56\,b^5\,c^5\right)}{24\,b^6}+\frac{d^4\,x^4\,\left(a^3\,d^3+4\,a^2\,b\,c\,d^2+10\,a\,b^2\,c^2\,d+20\,b^3\,c^3\right)}{4\,b^4}+\frac{7\,d^6\,x^6\,\left(a\,d+4\,b\,c\right)}{20\,b^2}+\frac{d^3\,x^3\,\left(a^4\,d^4+4\,a^3\,b\,c\,d^3+10\,a^2\,b^2\,c^2\,d^2+20\,a\,b^3\,c^3\,d+35\,b^4\,c^4\right)}{8\,b^5}+\frac{d\,x\,\left(a^6\,d^6+4\,a^5\,b\,c\,d^5+10\,a^4\,b^2\,c^2\,d^4+20\,a^3\,b^3\,c^3\,d^3+35\,a^2\,b^4\,c^4\,d^2+56\,a\,b^5\,c^5\,d+84\,b^6\,c^6\right)}{120\,b^7}+\frac{7\,d^5\,x^5\,\left(a^2\,d^2+4\,a\,b\,c\,d+10\,b^2\,c^2\right)}{20\,b^3}}{a^{11}+11\,a^{10}\,b\,x+55\,a^9\,b^2\,x^2+165\,a^8\,b^3\,x^3+330\,a^7\,b^4\,x^4+462\,a^6\,b^5\,x^5+462\,a^5\,b^6\,x^6+330\,a^4\,b^7\,x^7+165\,a^3\,b^8\,x^8+55\,a^2\,b^9\,x^9+11\,a\,b^{10}\,x^{10}+b^{11}\,x^{11}}","Not used",1,"-((a^7*d^7 + 120*b^7*c^7 + 56*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 + 20*a^4*b^3*c^3*d^4 + 10*a^5*b^2*c^2*d^5 + 84*a*b^6*c^6*d + 4*a^6*b*c*d^6)/(1320*b^8) + (d^7*x^7)/(4*b) + (d^2*x^2*(a^5*d^5 + 56*b^5*c^5 + 20*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 35*a*b^4*c^4*d + 4*a^4*b*c*d^4))/(24*b^6) + (d^4*x^4*(a^3*d^3 + 20*b^3*c^3 + 10*a*b^2*c^2*d + 4*a^2*b*c*d^2))/(4*b^4) + (7*d^6*x^6*(a*d + 4*b*c))/(20*b^2) + (d^3*x^3*(a^4*d^4 + 35*b^4*c^4 + 10*a^2*b^2*c^2*d^2 + 20*a*b^3*c^3*d + 4*a^3*b*c*d^3))/(8*b^5) + (d*x*(a^6*d^6 + 84*b^6*c^6 + 35*a^2*b^4*c^4*d^2 + 20*a^3*b^3*c^3*d^3 + 10*a^4*b^2*c^2*d^4 + 56*a*b^5*c^5*d + 4*a^5*b*c*d^5))/(120*b^7) + (7*d^5*x^5*(a^2*d^2 + 10*b^2*c^2 + 4*a*b*c*d))/(20*b^3))/(a^11 + b^11*x^11 + 11*a*b^10*x^10 + 55*a^9*b^2*x^2 + 165*a^8*b^3*x^3 + 330*a^7*b^4*x^4 + 462*a^6*b^5*x^5 + 462*a^5*b^6*x^6 + 330*a^4*b^7*x^7 + 165*a^3*b^8*x^8 + 55*a^2*b^9*x^9 + 11*a^10*b*x)","B"
1295,1,559,151,0.228909,"\text{Not used}","int((c + d*x)^7/(a + b*x)^13,x)","-\frac{\frac{a^7\,d^7+5\,a^6\,b\,c\,d^6+15\,a^5\,b^2\,c^2\,d^5+35\,a^4\,b^3\,c^3\,d^4+70\,a^3\,b^4\,c^4\,d^3+126\,a^2\,b^5\,c^5\,d^2+210\,a\,b^6\,c^6\,d+330\,b^7\,c^7}{3960\,b^8}+\frac{d^7\,x^7}{5\,b}+\frac{d^2\,x^2\,\left(a^5\,d^5+5\,a^4\,b\,c\,d^4+15\,a^3\,b^2\,c^2\,d^3+35\,a^2\,b^3\,c^3\,d^2+70\,a\,b^4\,c^4\,d+126\,b^5\,c^5\right)}{60\,b^6}+\frac{d^4\,x^4\,\left(a^3\,d^3+5\,a^2\,b\,c\,d^2+15\,a\,b^2\,c^2\,d+35\,b^3\,c^3\right)}{8\,b^4}+\frac{7\,d^6\,x^6\,\left(a\,d+5\,b\,c\right)}{30\,b^2}+\frac{d^3\,x^3\,\left(a^4\,d^4+5\,a^3\,b\,c\,d^3+15\,a^2\,b^2\,c^2\,d^2+35\,a\,b^3\,c^3\,d+70\,b^4\,c^4\right)}{18\,b^5}+\frac{d\,x\,\left(a^6\,d^6+5\,a^5\,b\,c\,d^5+15\,a^4\,b^2\,c^2\,d^4+35\,a^3\,b^3\,c^3\,d^3+70\,a^2\,b^4\,c^4\,d^2+126\,a\,b^5\,c^5\,d+210\,b^6\,c^6\right)}{330\,b^7}+\frac{d^5\,x^5\,\left(a^2\,d^2+5\,a\,b\,c\,d+15\,b^2\,c^2\right)}{5\,b^3}}{a^{12}+12\,a^{11}\,b\,x+66\,a^{10}\,b^2\,x^2+220\,a^9\,b^3\,x^3+495\,a^8\,b^4\,x^4+792\,a^7\,b^5\,x^5+924\,a^6\,b^6\,x^6+792\,a^5\,b^7\,x^7+495\,a^4\,b^8\,x^8+220\,a^3\,b^9\,x^9+66\,a^2\,b^{10}\,x^{10}+12\,a\,b^{11}\,x^{11}+b^{12}\,x^{12}}","Not used",1,"-((a^7*d^7 + 330*b^7*c^7 + 126*a^2*b^5*c^5*d^2 + 70*a^3*b^4*c^4*d^3 + 35*a^4*b^3*c^3*d^4 + 15*a^5*b^2*c^2*d^5 + 210*a*b^6*c^6*d + 5*a^6*b*c*d^6)/(3960*b^8) + (d^7*x^7)/(5*b) + (d^2*x^2*(a^5*d^5 + 126*b^5*c^5 + 35*a^2*b^3*c^3*d^2 + 15*a^3*b^2*c^2*d^3 + 70*a*b^4*c^4*d + 5*a^4*b*c*d^4))/(60*b^6) + (d^4*x^4*(a^3*d^3 + 35*b^3*c^3 + 15*a*b^2*c^2*d + 5*a^2*b*c*d^2))/(8*b^4) + (7*d^6*x^6*(a*d + 5*b*c))/(30*b^2) + (d^3*x^3*(a^4*d^4 + 70*b^4*c^4 + 15*a^2*b^2*c^2*d^2 + 35*a*b^3*c^3*d + 5*a^3*b*c*d^3))/(18*b^5) + (d*x*(a^6*d^6 + 210*b^6*c^6 + 70*a^2*b^4*c^4*d^2 + 35*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 + 126*a*b^5*c^5*d + 5*a^5*b*c*d^5))/(330*b^7) + (d^5*x^5*(a^2*d^2 + 15*b^2*c^2 + 5*a*b*c*d))/(5*b^3))/(a^12 + b^12*x^12 + 12*a*b^11*x^11 + 66*a^10*b^2*x^2 + 220*a^9*b^3*x^3 + 495*a^8*b^4*x^4 + 792*a^7*b^5*x^5 + 924*a^6*b^6*x^6 + 792*a^5*b^7*x^7 + 495*a^4*b^8*x^8 + 220*a^3*b^9*x^9 + 66*a^2*b^10*x^10 + 12*a^11*b*x)","B"
1296,1,570,198,0.398635,"\text{Not used}","int((c + d*x)^7/(a + b*x)^14,x)","-\frac{\frac{a^7\,d^7+6\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5+56\,a^4\,b^3\,c^3\,d^4+126\,a^3\,b^4\,c^4\,d^3+252\,a^2\,b^5\,c^5\,d^2+462\,a\,b^6\,c^6\,d+792\,b^7\,c^7}{10296\,b^8}+\frac{d^7\,x^7}{6\,b}+\frac{d^2\,x^2\,\left(a^5\,d^5+6\,a^4\,b\,c\,d^4+21\,a^3\,b^2\,c^2\,d^3+56\,a^2\,b^3\,c^3\,d^2+126\,a\,b^4\,c^4\,d+252\,b^5\,c^5\right)}{132\,b^6}+\frac{5\,d^4\,x^4\,\left(a^3\,d^3+6\,a^2\,b\,c\,d^2+21\,a\,b^2\,c^2\,d+56\,b^3\,c^3\right)}{72\,b^4}+\frac{d^6\,x^6\,\left(a\,d+6\,b\,c\right)}{6\,b^2}+\frac{d^3\,x^3\,\left(a^4\,d^4+6\,a^3\,b\,c\,d^3+21\,a^2\,b^2\,c^2\,d^2+56\,a\,b^3\,c^3\,d+126\,b^4\,c^4\right)}{36\,b^5}+\frac{d\,x\,\left(a^6\,d^6+6\,a^5\,b\,c\,d^5+21\,a^4\,b^2\,c^2\,d^4+56\,a^3\,b^3\,c^3\,d^3+126\,a^2\,b^4\,c^4\,d^2+252\,a\,b^5\,c^5\,d+462\,b^6\,c^6\right)}{792\,b^7}+\frac{d^5\,x^5\,\left(a^2\,d^2+6\,a\,b\,c\,d+21\,b^2\,c^2\right)}{8\,b^3}}{a^{13}+13\,a^{12}\,b\,x+78\,a^{11}\,b^2\,x^2+286\,a^{10}\,b^3\,x^3+715\,a^9\,b^4\,x^4+1287\,a^8\,b^5\,x^5+1716\,a^7\,b^6\,x^6+1716\,a^6\,b^7\,x^7+1287\,a^5\,b^8\,x^8+715\,a^4\,b^9\,x^9+286\,a^3\,b^{10}\,x^{10}+78\,a^2\,b^{11}\,x^{11}+13\,a\,b^{12}\,x^{12}+b^{13}\,x^{13}}","Not used",1,"-((a^7*d^7 + 792*b^7*c^7 + 252*a^2*b^5*c^5*d^2 + 126*a^3*b^4*c^4*d^3 + 56*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 462*a*b^6*c^6*d + 6*a^6*b*c*d^6)/(10296*b^8) + (d^7*x^7)/(6*b) + (d^2*x^2*(a^5*d^5 + 252*b^5*c^5 + 56*a^2*b^3*c^3*d^2 + 21*a^3*b^2*c^2*d^3 + 126*a*b^4*c^4*d + 6*a^4*b*c*d^4))/(132*b^6) + (5*d^4*x^4*(a^3*d^3 + 56*b^3*c^3 + 21*a*b^2*c^2*d + 6*a^2*b*c*d^2))/(72*b^4) + (d^6*x^6*(a*d + 6*b*c))/(6*b^2) + (d^3*x^3*(a^4*d^4 + 126*b^4*c^4 + 21*a^2*b^2*c^2*d^2 + 56*a*b^3*c^3*d + 6*a^3*b*c*d^3))/(36*b^5) + (d*x*(a^6*d^6 + 462*b^6*c^6 + 126*a^2*b^4*c^4*d^2 + 56*a^3*b^3*c^3*d^3 + 21*a^4*b^2*c^2*d^4 + 252*a*b^5*c^5*d + 6*a^5*b*c*d^5))/(792*b^7) + (d^5*x^5*(a^2*d^2 + 21*b^2*c^2 + 6*a*b*c*d))/(8*b^3))/(a^13 + b^13*x^13 + 13*a*b^12*x^12 + 78*a^11*b^2*x^2 + 286*a^10*b^3*x^3 + 715*a^9*b^4*x^4 + 1287*a^8*b^5*x^5 + 1716*a^7*b^6*x^6 + 1716*a^6*b^7*x^7 + 1287*a^5*b^8*x^8 + 715*a^4*b^9*x^9 + 286*a^3*b^10*x^10 + 78*a^2*b^11*x^11 + 13*a^12*b*x)","B"
1297,1,581,200,1.237642,"\text{Not used}","int((c + d*x)^7/(a + b*x)^15,x)","-\frac{\frac{a^7\,d^7+7\,a^6\,b\,c\,d^6+28\,a^5\,b^2\,c^2\,d^5+84\,a^4\,b^3\,c^3\,d^4+210\,a^3\,b^4\,c^4\,d^3+462\,a^2\,b^5\,c^5\,d^2+924\,a\,b^6\,c^6\,d+1716\,b^7\,c^7}{24024\,b^8}+\frac{d^7\,x^7}{7\,b}+\frac{d^2\,x^2\,\left(a^5\,d^5+7\,a^4\,b\,c\,d^4+28\,a^3\,b^2\,c^2\,d^3+84\,a^2\,b^3\,c^3\,d^2+210\,a\,b^4\,c^4\,d+462\,b^5\,c^5\right)}{264\,b^6}+\frac{d^4\,x^4\,\left(a^3\,d^3+7\,a^2\,b\,c\,d^2+28\,a\,b^2\,c^2\,d+84\,b^3\,c^3\right)}{24\,b^4}+\frac{d^6\,x^6\,\left(a\,d+7\,b\,c\right)}{8\,b^2}+\frac{d^3\,x^3\,\left(a^4\,d^4+7\,a^3\,b\,c\,d^3+28\,a^2\,b^2\,c^2\,d^2+84\,a\,b^3\,c^3\,d+210\,b^4\,c^4\right)}{66\,b^5}+\frac{d\,x\,\left(a^6\,d^6+7\,a^5\,b\,c\,d^5+28\,a^4\,b^2\,c^2\,d^4+84\,a^3\,b^3\,c^3\,d^3+210\,a^2\,b^4\,c^4\,d^2+462\,a\,b^5\,c^5\,d+924\,b^6\,c^6\right)}{1716\,b^7}+\frac{d^5\,x^5\,\left(a^2\,d^2+7\,a\,b\,c\,d+28\,b^2\,c^2\right)}{12\,b^3}}{a^{14}+14\,a^{13}\,b\,x+91\,a^{12}\,b^2\,x^2+364\,a^{11}\,b^3\,x^3+1001\,a^{10}\,b^4\,x^4+2002\,a^9\,b^5\,x^5+3003\,a^8\,b^6\,x^6+3432\,a^7\,b^7\,x^7+3003\,a^6\,b^8\,x^8+2002\,a^5\,b^9\,x^9+1001\,a^4\,b^{10}\,x^{10}+364\,a^3\,b^{11}\,x^{11}+91\,a^2\,b^{12}\,x^{12}+14\,a\,b^{13}\,x^{13}+b^{14}\,x^{14}}","Not used",1,"-((a^7*d^7 + 1716*b^7*c^7 + 462*a^2*b^5*c^5*d^2 + 210*a^3*b^4*c^4*d^3 + 84*a^4*b^3*c^3*d^4 + 28*a^5*b^2*c^2*d^5 + 924*a*b^6*c^6*d + 7*a^6*b*c*d^6)/(24024*b^8) + (d^7*x^7)/(7*b) + (d^2*x^2*(a^5*d^5 + 462*b^5*c^5 + 84*a^2*b^3*c^3*d^2 + 28*a^3*b^2*c^2*d^3 + 210*a*b^4*c^4*d + 7*a^4*b*c*d^4))/(264*b^6) + (d^4*x^4*(a^3*d^3 + 84*b^3*c^3 + 28*a*b^2*c^2*d + 7*a^2*b*c*d^2))/(24*b^4) + (d^6*x^6*(a*d + 7*b*c))/(8*b^2) + (d^3*x^3*(a^4*d^4 + 210*b^4*c^4 + 28*a^2*b^2*c^2*d^2 + 84*a*b^3*c^3*d + 7*a^3*b*c*d^3))/(66*b^5) + (d*x*(a^6*d^6 + 924*b^6*c^6 + 210*a^2*b^4*c^4*d^2 + 84*a^3*b^3*c^3*d^3 + 28*a^4*b^2*c^2*d^4 + 462*a*b^5*c^5*d + 7*a^5*b*c*d^5))/(1716*b^7) + (d^5*x^5*(a^2*d^2 + 28*b^2*c^2 + 7*a*b*c*d))/(12*b^3))/(a^14 + b^14*x^14 + 14*a*b^13*x^13 + 91*a^12*b^2*x^2 + 364*a^11*b^3*x^3 + 1001*a^10*b^4*x^4 + 2002*a^9*b^5*x^5 + 3003*a^8*b^6*x^6 + 3432*a^7*b^7*x^7 + 3003*a^6*b^8*x^8 + 2002*a^5*b^9*x^9 + 1001*a^4*b^10*x^10 + 364*a^3*b^11*x^11 + 91*a^2*b^12*x^12 + 14*a^13*b*x)","B"
1298,1,592,200,2.196211,"\text{Not used}","int((c + d*x)^7/(a + b*x)^16,x)","-\frac{\frac{a^7\,d^7+8\,a^6\,b\,c\,d^6+36\,a^5\,b^2\,c^2\,d^5+120\,a^4\,b^3\,c^3\,d^4+330\,a^3\,b^4\,c^4\,d^3+792\,a^2\,b^5\,c^5\,d^2+1716\,a\,b^6\,c^6\,d+3432\,b^7\,c^7}{51480\,b^8}+\frac{d^7\,x^7}{8\,b}+\frac{7\,d^2\,x^2\,\left(a^5\,d^5+8\,a^4\,b\,c\,d^4+36\,a^3\,b^2\,c^2\,d^3+120\,a^2\,b^3\,c^3\,d^2+330\,a\,b^4\,c^4\,d+792\,b^5\,c^5\right)}{3432\,b^6}+\frac{7\,d^4\,x^4\,\left(a^3\,d^3+8\,a^2\,b\,c\,d^2+36\,a\,b^2\,c^2\,d+120\,b^3\,c^3\right)}{264\,b^4}+\frac{7\,d^6\,x^6\,\left(a\,d+8\,b\,c\right)}{72\,b^2}+\frac{7\,d^3\,x^3\,\left(a^4\,d^4+8\,a^3\,b\,c\,d^3+36\,a^2\,b^2\,c^2\,d^2+120\,a\,b^3\,c^3\,d+330\,b^4\,c^4\right)}{792\,b^5}+\frac{d\,x\,\left(a^6\,d^6+8\,a^5\,b\,c\,d^5+36\,a^4\,b^2\,c^2\,d^4+120\,a^3\,b^3\,c^3\,d^3+330\,a^2\,b^4\,c^4\,d^2+792\,a\,b^5\,c^5\,d+1716\,b^6\,c^6\right)}{3432\,b^7}+\frac{7\,d^5\,x^5\,\left(a^2\,d^2+8\,a\,b\,c\,d+36\,b^2\,c^2\right)}{120\,b^3}}{a^{15}+15\,a^{14}\,b\,x+105\,a^{13}\,b^2\,x^2+455\,a^{12}\,b^3\,x^3+1365\,a^{11}\,b^4\,x^4+3003\,a^{10}\,b^5\,x^5+5005\,a^9\,b^6\,x^6+6435\,a^8\,b^7\,x^7+6435\,a^7\,b^8\,x^8+5005\,a^6\,b^9\,x^9+3003\,a^5\,b^{10}\,x^{10}+1365\,a^4\,b^{11}\,x^{11}+455\,a^3\,b^{12}\,x^{12}+105\,a^2\,b^{13}\,x^{13}+15\,a\,b^{14}\,x^{14}+b^{15}\,x^{15}}","Not used",1,"-((a^7*d^7 + 3432*b^7*c^7 + 792*a^2*b^5*c^5*d^2 + 330*a^3*b^4*c^4*d^3 + 120*a^4*b^3*c^3*d^4 + 36*a^5*b^2*c^2*d^5 + 1716*a*b^6*c^6*d + 8*a^6*b*c*d^6)/(51480*b^8) + (d^7*x^7)/(8*b) + (7*d^2*x^2*(a^5*d^5 + 792*b^5*c^5 + 120*a^2*b^3*c^3*d^2 + 36*a^3*b^2*c^2*d^3 + 330*a*b^4*c^4*d + 8*a^4*b*c*d^4))/(3432*b^6) + (7*d^4*x^4*(a^3*d^3 + 120*b^3*c^3 + 36*a*b^2*c^2*d + 8*a^2*b*c*d^2))/(264*b^4) + (7*d^6*x^6*(a*d + 8*b*c))/(72*b^2) + (7*d^3*x^3*(a^4*d^4 + 330*b^4*c^4 + 36*a^2*b^2*c^2*d^2 + 120*a*b^3*c^3*d + 8*a^3*b*c*d^3))/(792*b^5) + (d*x*(a^6*d^6 + 1716*b^6*c^6 + 330*a^2*b^4*c^4*d^2 + 120*a^3*b^3*c^3*d^3 + 36*a^4*b^2*c^2*d^4 + 792*a*b^5*c^5*d + 8*a^5*b*c*d^5))/(3432*b^7) + (7*d^5*x^5*(a^2*d^2 + 36*b^2*c^2 + 8*a*b*c*d))/(120*b^3))/(a^15 + b^15*x^15 + 15*a*b^14*x^14 + 105*a^13*b^2*x^2 + 455*a^12*b^3*x^3 + 1365*a^11*b^4*x^4 + 3003*a^10*b^5*x^5 + 5005*a^9*b^6*x^6 + 6435*a^8*b^7*x^7 + 6435*a^7*b^8*x^8 + 5005*a^6*b^9*x^9 + 3003*a^5*b^10*x^10 + 1365*a^4*b^11*x^11 + 455*a^3*b^12*x^12 + 105*a^2*b^13*x^13 + 15*a^14*b*x)","B"
1299,1,1847,275,0.984416,"\text{Not used}","int((a + b*x)^12*(c + d*x)^10,x)","x^{12}\,\left(a^{11}\,b\,d^{10}+55\,a^{10}\,b^2\,c\,d^9+825\,a^9\,b^3\,c^2\,d^8+4950\,a^8\,b^4\,c^3\,d^7+13860\,a^7\,b^5\,c^4\,d^6+19404\,a^6\,b^6\,c^5\,d^5+13860\,a^5\,b^7\,c^6\,d^4+4950\,a^4\,b^8\,c^7\,d^3+825\,a^3\,b^9\,c^8\,d^2+55\,a^2\,b^{10}\,c^9\,d+a\,b^{11}\,c^{10}\right)+x^7\,\left(30\,a^{12}\,c^4\,d^6+432\,a^{11}\,b\,c^5\,d^5+1980\,a^{10}\,b^2\,c^6\,d^4+\frac{26400\,a^9\,b^3\,c^7\,d^3}{7}+\frac{22275\,a^8\,b^4\,c^8\,d^2}{7}+\frac{7920\,a^7\,b^5\,c^9\,d}{7}+132\,a^6\,b^6\,c^{10}\right)+x^{17}\,\left(\frac{924\,a^6\,b^6\,d^{10}}{17}+\frac{7920\,a^5\,b^7\,c\,d^9}{17}+\frac{22275\,a^4\,b^8\,c^2\,d^8}{17}+\frac{26400\,a^3\,b^9\,c^3\,d^7}{17}+\frac{13860\,a^2\,b^{10}\,c^4\,d^6}{17}+\frac{3024\,a\,b^{11}\,c^5\,d^5}{17}+\frac{210\,b^{12}\,c^6\,d^4}{17}\right)+x^5\,\left(42\,a^{12}\,c^6\,d^4+288\,a^{11}\,b\,c^7\,d^3+594\,a^{10}\,b^2\,c^8\,d^2+440\,a^9\,b^3\,c^9\,d+99\,a^8\,b^4\,c^{10}\right)+x^{19}\,\left(\frac{495\,a^4\,b^8\,d^{10}}{19}+\frac{2200\,a^3\,b^9\,c\,d^9}{19}+\frac{2970\,a^2\,b^{10}\,c^2\,d^8}{19}+\frac{1440\,a\,b^{11}\,c^3\,d^7}{19}+\frac{210\,b^{12}\,c^4\,d^6}{19}\right)+x^8\,\left(15\,a^{12}\,c^3\,d^7+315\,a^{11}\,b\,c^4\,d^6+2079\,a^{10}\,b^2\,c^5\,d^5+5775\,a^9\,b^3\,c^6\,d^4+7425\,a^8\,b^4\,c^7\,d^3+4455\,a^7\,b^5\,c^8\,d^2+1155\,a^6\,b^6\,c^9\,d+99\,a^5\,b^7\,c^{10}\right)+x^{16}\,\left(\frac{99\,a^7\,b^5\,d^{10}}{2}+\frac{1155\,a^6\,b^6\,c\,d^9}{2}+\frac{4455\,a^5\,b^7\,c^2\,d^8}{2}+\frac{7425\,a^4\,b^8\,c^3\,d^7}{2}+\frac{5775\,a^3\,b^9\,c^4\,d^6}{2}+\frac{2079\,a^2\,b^{10}\,c^5\,d^5}{2}+\frac{315\,a\,b^{11}\,c^6\,d^4}{2}+\frac{15\,b^{12}\,c^7\,d^3}{2}\right)+x^{11}\,\left(\frac{a^{12}\,d^{10}}{11}+\frac{120\,a^{11}\,b\,c\,d^9}{11}+270\,a^{10}\,b^2\,c^2\,d^8+2400\,a^9\,b^3\,c^3\,d^7+9450\,a^8\,b^4\,c^4\,d^6+18144\,a^7\,b^5\,c^5\,d^5+17640\,a^6\,b^6\,c^6\,d^4+8640\,a^5\,b^7\,c^7\,d^3+2025\,a^4\,b^8\,c^8\,d^2+200\,a^3\,b^9\,c^9\,d+6\,a^2\,b^{10}\,c^{10}\right)+x^{13}\,\left(\frac{66\,a^{10}\,b^2\,d^{10}}{13}+\frac{2200\,a^9\,b^3\,c\,d^9}{13}+\frac{22275\,a^8\,b^4\,c^2\,d^8}{13}+\frac{95040\,a^7\,b^5\,c^3\,d^7}{13}+\frac{194040\,a^6\,b^6\,c^4\,d^6}{13}+\frac{199584\,a^5\,b^7\,c^5\,d^5}{13}+\frac{103950\,a^4\,b^8\,c^6\,d^4}{13}+\frac{26400\,a^3\,b^9\,c^7\,d^3}{13}+\frac{2970\,a^2\,b^{10}\,c^8\,d^2}{13}+\frac{120\,a\,b^{11}\,c^9\,d}{13}+\frac{b^{12}\,c^{10}}{13}\right)+x^6\,\left(42\,a^{12}\,c^5\,d^5+420\,a^{11}\,b\,c^6\,d^4+1320\,a^{10}\,b^2\,c^7\,d^3+1650\,a^9\,b^3\,c^8\,d^2+825\,a^8\,b^4\,c^9\,d+132\,a^7\,b^5\,c^{10}\right)+x^{18}\,\left(44\,a^5\,b^7\,d^{10}+275\,a^4\,b^8\,c\,d^9+550\,a^3\,b^9\,c^2\,d^8+440\,a^2\,b^{10}\,c^3\,d^7+140\,a\,b^{11}\,c^4\,d^6+14\,b^{12}\,c^5\,d^5\right)+x^9\,\left(5\,a^{12}\,c^2\,d^8+160\,a^{11}\,b\,c^3\,d^7+1540\,a^{10}\,b^2\,c^4\,d^6+6160\,a^9\,b^3\,c^5\,d^5+11550\,a^8\,b^4\,c^6\,d^4+10560\,a^7\,b^5\,c^7\,d^3+4620\,a^6\,b^6\,c^8\,d^2+880\,a^5\,b^7\,c^9\,d+55\,a^4\,b^8\,c^{10}\right)+x^{15}\,\left(33\,a^8\,b^4\,d^{10}+528\,a^7\,b^5\,c\,d^9+2772\,a^6\,b^6\,c^2\,d^8+6336\,a^5\,b^7\,c^3\,d^7+6930\,a^4\,b^8\,c^4\,d^6+3696\,a^3\,b^9\,c^5\,d^5+924\,a^2\,b^{10}\,c^6\,d^4+96\,a\,b^{11}\,c^7\,d^3+3\,b^{12}\,c^8\,d^2\right)+x^{10}\,\left(a^{12}\,c\,d^9+54\,a^{11}\,b\,c^2\,d^8+792\,a^{10}\,b^2\,c^3\,d^7+4620\,a^9\,b^3\,c^4\,d^6+12474\,a^8\,b^4\,c^5\,d^5+16632\,a^7\,b^5\,c^6\,d^4+11088\,a^6\,b^6\,c^7\,d^3+3564\,a^5\,b^7\,c^8\,d^2+495\,a^4\,b^8\,c^9\,d+22\,a^3\,b^9\,c^{10}\right)+x^{14}\,\left(\frac{110\,a^9\,b^3\,d^{10}}{7}+\frac{2475\,a^8\,b^4\,c\,d^9}{7}+\frac{17820\,a^7\,b^5\,c^2\,d^8}{7}+7920\,a^6\,b^6\,c^3\,d^7+11880\,a^5\,b^7\,c^4\,d^6+8910\,a^4\,b^8\,c^5\,d^5+3300\,a^3\,b^9\,c^6\,d^4+\frac{3960\,a^2\,b^{10}\,c^7\,d^3}{7}+\frac{270\,a\,b^{11}\,c^8\,d^2}{7}+\frac{5\,b^{12}\,c^9\,d}{7}\right)+a^{12}\,c^{10}\,x+\frac{b^{12}\,d^{10}\,x^{23}}{23}+5\,a^9\,c^7\,x^4\,\left(6\,a^3\,d^3+27\,a^2\,b\,c\,d^2+33\,a\,b^2\,c^2\,d+11\,b^3\,c^3\right)+b^9\,d^7\,x^{20}\,\left(11\,a^3\,d^3+33\,a^2\,b\,c\,d^2+27\,a\,b^2\,c^2\,d+6\,b^3\,c^3\right)+a^{11}\,c^9\,x^2\,\left(5\,a\,d+6\,b\,c\right)+\frac{b^{11}\,d^9\,x^{22}\,\left(6\,a\,d+5\,b\,c\right)}{11}+a^{10}\,c^8\,x^3\,\left(15\,a^2\,d^2+40\,a\,b\,c\,d+22\,b^2\,c^2\right)+\frac{b^{10}\,d^8\,x^{21}\,\left(22\,a^2\,d^2+40\,a\,b\,c\,d+15\,b^2\,c^2\right)}{7}","Not used",1,"x^12*(a*b^11*c^10 + a^11*b*d^10 + 55*a^2*b^10*c^9*d + 55*a^10*b^2*c*d^9 + 825*a^3*b^9*c^8*d^2 + 4950*a^4*b^8*c^7*d^3 + 13860*a^5*b^7*c^6*d^4 + 19404*a^6*b^6*c^5*d^5 + 13860*a^7*b^5*c^4*d^6 + 4950*a^8*b^4*c^3*d^7 + 825*a^9*b^3*c^2*d^8) + x^7*(132*a^6*b^6*c^10 + 30*a^12*c^4*d^6 + (7920*a^7*b^5*c^9*d)/7 + 432*a^11*b*c^5*d^5 + (22275*a^8*b^4*c^8*d^2)/7 + (26400*a^9*b^3*c^7*d^3)/7 + 1980*a^10*b^2*c^6*d^4) + x^17*((924*a^6*b^6*d^10)/17 + (210*b^12*c^6*d^4)/17 + (3024*a*b^11*c^5*d^5)/17 + (7920*a^5*b^7*c*d^9)/17 + (13860*a^2*b^10*c^4*d^6)/17 + (26400*a^3*b^9*c^3*d^7)/17 + (22275*a^4*b^8*c^2*d^8)/17) + x^5*(99*a^8*b^4*c^10 + 42*a^12*c^6*d^4 + 440*a^9*b^3*c^9*d + 288*a^11*b*c^7*d^3 + 594*a^10*b^2*c^8*d^2) + x^19*((495*a^4*b^8*d^10)/19 + (210*b^12*c^4*d^6)/19 + (1440*a*b^11*c^3*d^7)/19 + (2200*a^3*b^9*c*d^9)/19 + (2970*a^2*b^10*c^2*d^8)/19) + x^8*(99*a^5*b^7*c^10 + 15*a^12*c^3*d^7 + 1155*a^6*b^6*c^9*d + 315*a^11*b*c^4*d^6 + 4455*a^7*b^5*c^8*d^2 + 7425*a^8*b^4*c^7*d^3 + 5775*a^9*b^3*c^6*d^4 + 2079*a^10*b^2*c^5*d^5) + x^16*((99*a^7*b^5*d^10)/2 + (15*b^12*c^7*d^3)/2 + (315*a*b^11*c^6*d^4)/2 + (1155*a^6*b^6*c*d^9)/2 + (2079*a^2*b^10*c^5*d^5)/2 + (5775*a^3*b^9*c^4*d^6)/2 + (7425*a^4*b^8*c^3*d^7)/2 + (4455*a^5*b^7*c^2*d^8)/2) + x^11*((a^12*d^10)/11 + 6*a^2*b^10*c^10 + 200*a^3*b^9*c^9*d + 2025*a^4*b^8*c^8*d^2 + 8640*a^5*b^7*c^7*d^3 + 17640*a^6*b^6*c^6*d^4 + 18144*a^7*b^5*c^5*d^5 + 9450*a^8*b^4*c^4*d^6 + 2400*a^9*b^3*c^3*d^7 + 270*a^10*b^2*c^2*d^8 + (120*a^11*b*c*d^9)/11) + x^13*((b^12*c^10)/13 + (66*a^10*b^2*d^10)/13 + (2200*a^9*b^3*c*d^9)/13 + (2970*a^2*b^10*c^8*d^2)/13 + (26400*a^3*b^9*c^7*d^3)/13 + (103950*a^4*b^8*c^6*d^4)/13 + (199584*a^5*b^7*c^5*d^5)/13 + (194040*a^6*b^6*c^4*d^6)/13 + (95040*a^7*b^5*c^3*d^7)/13 + (22275*a^8*b^4*c^2*d^8)/13 + (120*a*b^11*c^9*d)/13) + x^6*(132*a^7*b^5*c^10 + 42*a^12*c^5*d^5 + 825*a^8*b^4*c^9*d + 420*a^11*b*c^6*d^4 + 1650*a^9*b^3*c^8*d^2 + 1320*a^10*b^2*c^7*d^3) + x^18*(44*a^5*b^7*d^10 + 14*b^12*c^5*d^5 + 140*a*b^11*c^4*d^6 + 275*a^4*b^8*c*d^9 + 440*a^2*b^10*c^3*d^7 + 550*a^3*b^9*c^2*d^8) + x^9*(55*a^4*b^8*c^10 + 5*a^12*c^2*d^8 + 880*a^5*b^7*c^9*d + 160*a^11*b*c^3*d^7 + 4620*a^6*b^6*c^8*d^2 + 10560*a^7*b^5*c^7*d^3 + 11550*a^8*b^4*c^6*d^4 + 6160*a^9*b^3*c^5*d^5 + 1540*a^10*b^2*c^4*d^6) + x^15*(33*a^8*b^4*d^10 + 3*b^12*c^8*d^2 + 96*a*b^11*c^7*d^3 + 528*a^7*b^5*c*d^9 + 924*a^2*b^10*c^6*d^4 + 3696*a^3*b^9*c^5*d^5 + 6930*a^4*b^8*c^4*d^6 + 6336*a^5*b^7*c^3*d^7 + 2772*a^6*b^6*c^2*d^8) + x^10*(a^12*c*d^9 + 22*a^3*b^9*c^10 + 495*a^4*b^8*c^9*d + 54*a^11*b*c^2*d^8 + 3564*a^5*b^7*c^8*d^2 + 11088*a^6*b^6*c^7*d^3 + 16632*a^7*b^5*c^6*d^4 + 12474*a^8*b^4*c^5*d^5 + 4620*a^9*b^3*c^4*d^6 + 792*a^10*b^2*c^3*d^7) + x^14*((5*b^12*c^9*d)/7 + (110*a^9*b^3*d^10)/7 + (270*a*b^11*c^8*d^2)/7 + (2475*a^8*b^4*c*d^9)/7 + (3960*a^2*b^10*c^7*d^3)/7 + 3300*a^3*b^9*c^6*d^4 + 8910*a^4*b^8*c^5*d^5 + 11880*a^5*b^7*c^4*d^6 + 7920*a^6*b^6*c^3*d^7 + (17820*a^7*b^5*c^2*d^8)/7) + a^12*c^10*x + (b^12*d^10*x^23)/23 + 5*a^9*c^7*x^4*(6*a^3*d^3 + 11*b^3*c^3 + 33*a*b^2*c^2*d + 27*a^2*b*c*d^2) + b^9*d^7*x^20*(11*a^3*d^3 + 6*b^3*c^3 + 27*a*b^2*c^2*d + 33*a^2*b*c*d^2) + a^11*c^9*x^2*(5*a*d + 6*b*c) + (b^11*d^9*x^22*(6*a*d + 5*b*c))/11 + a^10*c^8*x^3*(15*a^2*d^2 + 22*b^2*c^2 + 40*a*b*c*d) + (b^10*d^8*x^21*(22*a^2*d^2 + 15*b^2*c^2 + 40*a*b*c*d))/7","B"
1300,1,1702,279,1.025727,"\text{Not used}","int((a + b*x)^11*(c + d*x)^10,x)","x^7\,\left(30\,a^{11}\,c^4\,d^6+396\,a^{10}\,b\,c^5\,d^5+1650\,a^9\,b^2\,c^6\,d^4+\frac{19800\,a^8\,b^3\,c^7\,d^3}{7}+\frac{14850\,a^7\,b^4\,c^8\,d^2}{7}+660\,a^6\,b^5\,c^9\,d+66\,a^5\,b^6\,c^{10}\right)+x^{16}\,\left(\frac{231\,a^6\,b^5\,d^{10}}{8}+\frac{1155\,a^5\,b^6\,c\,d^9}{4}+\frac{7425\,a^4\,b^7\,c^2\,d^8}{8}+\frac{2475\,a^3\,b^8\,c^3\,d^7}{2}+\frac{5775\,a^2\,b^9\,c^4\,d^6}{8}+\frac{693\,a\,b^{10}\,c^5\,d^5}{4}+\frac{105\,b^{11}\,c^6\,d^4}{8}\right)+x^{11}\,\left(\frac{a^{11}\,d^{10}}{11}+10\,a^{10}\,b\,c\,d^9+225\,a^9\,b^2\,c^2\,d^8+1800\,a^8\,b^3\,c^3\,d^7+6300\,a^7\,b^4\,c^4\,d^6+10584\,a^6\,b^5\,c^5\,d^5+8820\,a^5\,b^6\,c^6\,d^4+3600\,a^4\,b^7\,c^7\,d^3+675\,a^3\,b^8\,c^8\,d^2+50\,a^2\,b^9\,c^9\,d+a\,b^{10}\,c^{10}\right)+x^{12}\,\left(\frac{11\,a^{10}\,b\,d^{10}}{12}+\frac{275\,a^9\,b^2\,c\,d^9}{6}+\frac{2475\,a^8\,b^3\,c^2\,d^8}{4}+3300\,a^7\,b^4\,c^3\,d^7+8085\,a^6\,b^5\,c^4\,d^6+9702\,a^5\,b^6\,c^5\,d^5+5775\,a^4\,b^7\,c^6\,d^4+1650\,a^3\,b^8\,c^7\,d^3+\frac{825\,a^2\,b^9\,c^8\,d^2}{4}+\frac{55\,a\,b^{10}\,c^9\,d}{6}+\frac{b^{11}\,c^{10}}{12}\right)+x^5\,\left(42\,a^{11}\,c^6\,d^4+264\,a^{10}\,b\,c^7\,d^3+495\,a^9\,b^2\,c^8\,d^2+330\,a^8\,b^3\,c^9\,d+66\,a^7\,b^4\,c^{10}\right)+x^{18}\,\left(\frac{55\,a^4\,b^7\,d^{10}}{3}+\frac{275\,a^3\,b^8\,c\,d^9}{3}+\frac{275\,a^2\,b^9\,c^2\,d^8}{2}+\frac{220\,a\,b^{10}\,c^3\,d^7}{3}+\frac{35\,b^{11}\,c^4\,d^6}{3}\right)+x^8\,\left(15\,a^{11}\,c^3\,d^7+\frac{1155\,a^{10}\,b\,c^4\,d^6}{4}+\frac{3465\,a^9\,b^2\,c^5\,d^5}{2}+\frac{17325\,a^8\,b^3\,c^6\,d^4}{4}+4950\,a^7\,b^4\,c^7\,d^3+\frac{10395\,a^6\,b^5\,c^8\,d^2}{4}+\frac{1155\,a^5\,b^6\,c^9\,d}{2}+\frac{165\,a^4\,b^7\,c^{10}}{4}\right)+x^{15}\,\left(22\,a^7\,b^4\,d^{10}+308\,a^6\,b^5\,c\,d^9+1386\,a^5\,b^6\,c^2\,d^8+2640\,a^4\,b^7\,c^3\,d^7+2310\,a^3\,b^8\,c^4\,d^6+924\,a^2\,b^9\,c^5\,d^5+154\,a\,b^{10}\,c^6\,d^4+8\,b^{11}\,c^7\,d^3\right)+x^6\,\left(42\,a^{11}\,c^5\,d^5+385\,a^{10}\,b\,c^6\,d^4+1100\,a^9\,b^2\,c^7\,d^3+\frac{2475\,a^8\,b^3\,c^8\,d^2}{2}+550\,a^7\,b^4\,c^9\,d+77\,a^6\,b^5\,c^{10}\right)+x^{17}\,\left(\frac{462\,a^5\,b^6\,d^{10}}{17}+\frac{3300\,a^4\,b^7\,c\,d^9}{17}+\frac{7425\,a^3\,b^8\,c^2\,d^8}{17}+\frac{6600\,a^2\,b^9\,c^3\,d^7}{17}+\frac{2310\,a\,b^{10}\,c^4\,d^6}{17}+\frac{252\,b^{11}\,c^5\,d^5}{17}\right)+x^9\,\left(5\,a^{11}\,c^2\,d^8+\frac{440\,a^{10}\,b\,c^3\,d^7}{3}+\frac{3850\,a^9\,b^2\,c^4\,d^6}{3}+4620\,a^8\,b^3\,c^5\,d^5+7700\,a^7\,b^4\,c^6\,d^4+6160\,a^6\,b^5\,c^7\,d^3+2310\,a^5\,b^6\,c^8\,d^2+\frac{1100\,a^4\,b^7\,c^9\,d}{3}+\frac{55\,a^3\,b^8\,c^{10}}{3}\right)+x^{14}\,\left(\frac{165\,a^8\,b^3\,d^{10}}{14}+\frac{1650\,a^7\,b^4\,c\,d^9}{7}+1485\,a^6\,b^5\,c^2\,d^8+3960\,a^5\,b^6\,c^3\,d^7+4950\,a^4\,b^7\,c^4\,d^6+2970\,a^3\,b^8\,c^5\,d^5+825\,a^2\,b^9\,c^6\,d^4+\frac{660\,a\,b^{10}\,c^7\,d^3}{7}+\frac{45\,b^{11}\,c^8\,d^2}{14}\right)+x^{10}\,\left(a^{11}\,c\,d^9+\frac{99\,a^{10}\,b\,c^2\,d^8}{2}+660\,a^9\,b^2\,c^3\,d^7+3465\,a^8\,b^3\,c^4\,d^6+8316\,a^7\,b^4\,c^5\,d^5+9702\,a^6\,b^5\,c^6\,d^4+5544\,a^5\,b^6\,c^7\,d^3+1485\,a^4\,b^7\,c^8\,d^2+165\,a^3\,b^8\,c^9\,d+\frac{11\,a^2\,b^9\,c^{10}}{2}\right)+x^{13}\,\left(\frac{55\,a^9\,b^2\,d^{10}}{13}+\frac{1650\,a^8\,b^3\,c\,d^9}{13}+\frac{14850\,a^7\,b^4\,c^2\,d^8}{13}+\frac{55440\,a^6\,b^5\,c^3\,d^7}{13}+\frac{97020\,a^5\,b^6\,c^4\,d^6}{13}+\frac{83160\,a^4\,b^7\,c^5\,d^5}{13}+\frac{34650\,a^3\,b^8\,c^6\,d^4}{13}+\frac{6600\,a^2\,b^9\,c^7\,d^3}{13}+\frac{495\,a\,b^{10}\,c^8\,d^2}{13}+\frac{10\,b^{11}\,c^9\,d}{13}\right)+a^{11}\,c^{10}\,x+\frac{b^{11}\,d^{10}\,x^{22}}{22}+\frac{5\,a^8\,c^7\,x^4\,\left(24\,a^3\,d^3+99\,a^2\,b\,c\,d^2+110\,a\,b^2\,c^2\,d+33\,b^3\,c^3\right)}{4}+\frac{5\,b^8\,d^7\,x^{19}\,\left(33\,a^3\,d^3+110\,a^2\,b\,c\,d^2+99\,a\,b^2\,c^2\,d+24\,b^3\,c^3\right)}{19}+\frac{a^{10}\,c^9\,x^2\,\left(10\,a\,d+11\,b\,c\right)}{2}+\frac{b^{10}\,d^9\,x^{21}\,\left(11\,a\,d+10\,b\,c\right)}{21}+\frac{5\,a^9\,c^8\,x^3\,\left(9\,a^2\,d^2+22\,a\,b\,c\,d+11\,b^2\,c^2\right)}{3}+\frac{b^9\,d^8\,x^{20}\,\left(11\,a^2\,d^2+22\,a\,b\,c\,d+9\,b^2\,c^2\right)}{4}","Not used",1,"x^7*(66*a^5*b^6*c^10 + 30*a^11*c^4*d^6 + 660*a^6*b^5*c^9*d + 396*a^10*b*c^5*d^5 + (14850*a^7*b^4*c^8*d^2)/7 + (19800*a^8*b^3*c^7*d^3)/7 + 1650*a^9*b^2*c^6*d^4) + x^16*((231*a^6*b^5*d^10)/8 + (105*b^11*c^6*d^4)/8 + (693*a*b^10*c^5*d^5)/4 + (1155*a^5*b^6*c*d^9)/4 + (5775*a^2*b^9*c^4*d^6)/8 + (2475*a^3*b^8*c^3*d^7)/2 + (7425*a^4*b^7*c^2*d^8)/8) + x^11*((a^11*d^10)/11 + a*b^10*c^10 + 50*a^2*b^9*c^9*d + 675*a^3*b^8*c^8*d^2 + 3600*a^4*b^7*c^7*d^3 + 8820*a^5*b^6*c^6*d^4 + 10584*a^6*b^5*c^5*d^5 + 6300*a^7*b^4*c^4*d^6 + 1800*a^8*b^3*c^3*d^7 + 225*a^9*b^2*c^2*d^8 + 10*a^10*b*c*d^9) + x^12*((b^11*c^10)/12 + (11*a^10*b*d^10)/12 + (275*a^9*b^2*c*d^9)/6 + (825*a^2*b^9*c^8*d^2)/4 + 1650*a^3*b^8*c^7*d^3 + 5775*a^4*b^7*c^6*d^4 + 9702*a^5*b^6*c^5*d^5 + 8085*a^6*b^5*c^4*d^6 + 3300*a^7*b^4*c^3*d^7 + (2475*a^8*b^3*c^2*d^8)/4 + (55*a*b^10*c^9*d)/6) + x^5*(66*a^7*b^4*c^10 + 42*a^11*c^6*d^4 + 330*a^8*b^3*c^9*d + 264*a^10*b*c^7*d^3 + 495*a^9*b^2*c^8*d^2) + x^18*((55*a^4*b^7*d^10)/3 + (35*b^11*c^4*d^6)/3 + (220*a*b^10*c^3*d^7)/3 + (275*a^3*b^8*c*d^9)/3 + (275*a^2*b^9*c^2*d^8)/2) + x^8*((165*a^4*b^7*c^10)/4 + 15*a^11*c^3*d^7 + (1155*a^5*b^6*c^9*d)/2 + (1155*a^10*b*c^4*d^6)/4 + (10395*a^6*b^5*c^8*d^2)/4 + 4950*a^7*b^4*c^7*d^3 + (17325*a^8*b^3*c^6*d^4)/4 + (3465*a^9*b^2*c^5*d^5)/2) + x^15*(22*a^7*b^4*d^10 + 8*b^11*c^7*d^3 + 154*a*b^10*c^6*d^4 + 308*a^6*b^5*c*d^9 + 924*a^2*b^9*c^5*d^5 + 2310*a^3*b^8*c^4*d^6 + 2640*a^4*b^7*c^3*d^7 + 1386*a^5*b^6*c^2*d^8) + x^6*(77*a^6*b^5*c^10 + 42*a^11*c^5*d^5 + 550*a^7*b^4*c^9*d + 385*a^10*b*c^6*d^4 + (2475*a^8*b^3*c^8*d^2)/2 + 1100*a^9*b^2*c^7*d^3) + x^17*((462*a^5*b^6*d^10)/17 + (252*b^11*c^5*d^5)/17 + (2310*a*b^10*c^4*d^6)/17 + (3300*a^4*b^7*c*d^9)/17 + (6600*a^2*b^9*c^3*d^7)/17 + (7425*a^3*b^8*c^2*d^8)/17) + x^9*((55*a^3*b^8*c^10)/3 + 5*a^11*c^2*d^8 + (1100*a^4*b^7*c^9*d)/3 + (440*a^10*b*c^3*d^7)/3 + 2310*a^5*b^6*c^8*d^2 + 6160*a^6*b^5*c^7*d^3 + 7700*a^7*b^4*c^6*d^4 + 4620*a^8*b^3*c^5*d^5 + (3850*a^9*b^2*c^4*d^6)/3) + x^14*((165*a^8*b^3*d^10)/14 + (45*b^11*c^8*d^2)/14 + (660*a*b^10*c^7*d^3)/7 + (1650*a^7*b^4*c*d^9)/7 + 825*a^2*b^9*c^6*d^4 + 2970*a^3*b^8*c^5*d^5 + 4950*a^4*b^7*c^4*d^6 + 3960*a^5*b^6*c^3*d^7 + 1485*a^6*b^5*c^2*d^8) + x^10*(a^11*c*d^9 + (11*a^2*b^9*c^10)/2 + 165*a^3*b^8*c^9*d + (99*a^10*b*c^2*d^8)/2 + 1485*a^4*b^7*c^8*d^2 + 5544*a^5*b^6*c^7*d^3 + 9702*a^6*b^5*c^6*d^4 + 8316*a^7*b^4*c^5*d^5 + 3465*a^8*b^3*c^4*d^6 + 660*a^9*b^2*c^3*d^7) + x^13*((10*b^11*c^9*d)/13 + (55*a^9*b^2*d^10)/13 + (495*a*b^10*c^8*d^2)/13 + (1650*a^8*b^3*c*d^9)/13 + (6600*a^2*b^9*c^7*d^3)/13 + (34650*a^3*b^8*c^6*d^4)/13 + (83160*a^4*b^7*c^5*d^5)/13 + (97020*a^5*b^6*c^4*d^6)/13 + (55440*a^6*b^5*c^3*d^7)/13 + (14850*a^7*b^4*c^2*d^8)/13) + a^11*c^10*x + (b^11*d^10*x^22)/22 + (5*a^8*c^7*x^4*(24*a^3*d^3 + 33*b^3*c^3 + 110*a*b^2*c^2*d + 99*a^2*b*c*d^2))/4 + (5*b^8*d^7*x^19*(33*a^3*d^3 + 24*b^3*c^3 + 99*a*b^2*c^2*d + 110*a^2*b*c*d^2))/19 + (a^10*c^9*x^2*(10*a*d + 11*b*c))/2 + (b^10*d^9*x^21*(11*a*d + 10*b*c))/21 + (5*a^9*c^8*x^3*(9*a^2*d^2 + 11*b^2*c^2 + 22*a*b*c*d))/3 + (b^9*d^8*x^20*(11*a^2*d^2 + 9*b^2*c^2 + 22*a*b*c*d))/4","B"
1301,1,1549,279,0.688592,"\text{Not used}","int((a + b*x)^10*(c + d*x)^10,x)","x^7\,\left(30\,a^{10}\,c^4\,d^6+360\,a^9\,b\,c^5\,d^5+1350\,a^8\,b^2\,c^6\,d^4+\frac{14400\,a^7\,b^3\,c^7\,d^3}{7}+1350\,a^6\,b^4\,c^8\,d^2+360\,a^5\,b^5\,c^9\,d+30\,a^4\,b^6\,c^{10}\right)+x^{15}\,\left(14\,a^6\,b^4\,d^{10}+168\,a^5\,b^5\,c\,d^9+630\,a^4\,b^6\,c^2\,d^8+960\,a^3\,b^7\,c^3\,d^7+630\,a^2\,b^8\,c^4\,d^6+168\,a\,b^9\,c^5\,d^5+14\,b^{10}\,c^6\,d^4\right)+x^5\,\left(42\,a^{10}\,c^6\,d^4+240\,a^9\,b\,c^7\,d^3+405\,a^8\,b^2\,c^8\,d^2+240\,a^7\,b^3\,c^9\,d+42\,a^6\,b^4\,c^{10}\right)+x^{17}\,\left(\frac{210\,a^4\,b^6\,d^{10}}{17}+\frac{1200\,a^3\,b^7\,c\,d^9}{17}+\frac{2025\,a^2\,b^8\,c^2\,d^8}{17}+\frac{1200\,a\,b^9\,c^3\,d^7}{17}+\frac{210\,b^{10}\,c^4\,d^6}{17}\right)+x^{11}\,\left(\frac{a^{10}\,d^{10}}{11}+\frac{100\,a^9\,b\,c\,d^9}{11}+\frac{2025\,a^8\,b^2\,c^2\,d^8}{11}+\frac{14400\,a^7\,b^3\,c^3\,d^7}{11}+\frac{44100\,a^6\,b^4\,c^4\,d^6}{11}+\frac{63504\,a^5\,b^5\,c^5\,d^5}{11}+\frac{44100\,a^4\,b^6\,c^6\,d^4}{11}+\frac{14400\,a^3\,b^7\,c^7\,d^3}{11}+\frac{2025\,a^2\,b^8\,c^8\,d^2}{11}+\frac{100\,a\,b^9\,c^9\,d}{11}+\frac{b^{10}\,c^{10}}{11}\right)+x^8\,\left(15\,a^{10}\,c^3\,d^7+\frac{525\,a^9\,b\,c^4\,d^6}{2}+\frac{2835\,a^8\,b^2\,c^5\,d^5}{2}+3150\,a^7\,b^3\,c^6\,d^4+3150\,a^6\,b^4\,c^7\,d^3+\frac{2835\,a^5\,b^5\,c^8\,d^2}{2}+\frac{525\,a^4\,b^6\,c^9\,d}{2}+15\,a^3\,b^7\,c^{10}\right)+x^{14}\,\left(\frac{60\,a^7\,b^3\,d^{10}}{7}+150\,a^6\,b^4\,c\,d^9+810\,a^5\,b^5\,c^2\,d^8+1800\,a^4\,b^6\,c^3\,d^7+1800\,a^3\,b^7\,c^4\,d^6+810\,a^2\,b^8\,c^5\,d^5+150\,a\,b^9\,c^6\,d^4+\frac{60\,b^{10}\,c^7\,d^3}{7}\right)+x^{10}\,\left(a^{10}\,c\,d^9+45\,a^9\,b\,c^2\,d^8+540\,a^8\,b^2\,c^3\,d^7+2520\,a^7\,b^3\,c^4\,d^6+5292\,a^6\,b^4\,c^5\,d^5+5292\,a^5\,b^5\,c^6\,d^4+2520\,a^4\,b^6\,c^7\,d^3+540\,a^3\,b^7\,c^8\,d^2+45\,a^2\,b^8\,c^9\,d+a\,b^9\,c^{10}\right)+x^{12}\,\left(\frac{5\,a^9\,b\,d^{10}}{6}+\frac{75\,a^8\,b^2\,c\,d^9}{2}+450\,a^7\,b^3\,c^2\,d^8+2100\,a^6\,b^4\,c^3\,d^7+4410\,a^5\,b^5\,c^4\,d^6+4410\,a^4\,b^6\,c^5\,d^5+2100\,a^3\,b^7\,c^6\,d^4+450\,a^2\,b^8\,c^7\,d^3+\frac{75\,a\,b^9\,c^8\,d^2}{2}+\frac{5\,b^{10}\,c^9\,d}{6}\right)+x^6\,\left(42\,a^{10}\,c^5\,d^5+350\,a^9\,b\,c^6\,d^4+900\,a^8\,b^2\,c^7\,d^3+900\,a^7\,b^3\,c^8\,d^2+350\,a^6\,b^4\,c^9\,d+42\,a^5\,b^5\,c^{10}\right)+x^{16}\,\left(\frac{63\,a^5\,b^5\,d^{10}}{4}+\frac{525\,a^4\,b^6\,c\,d^9}{4}+\frac{675\,a^3\,b^7\,c^2\,d^8}{2}+\frac{675\,a^2\,b^8\,c^3\,d^7}{2}+\frac{525\,a\,b^9\,c^4\,d^6}{4}+\frac{63\,b^{10}\,c^5\,d^5}{4}\right)+x^9\,\left(5\,a^{10}\,c^2\,d^8+\frac{400\,a^9\,b\,c^3\,d^7}{3}+1050\,a^8\,b^2\,c^4\,d^6+3360\,a^7\,b^3\,c^5\,d^5+4900\,a^6\,b^4\,c^6\,d^4+3360\,a^5\,b^5\,c^7\,d^3+1050\,a^4\,b^6\,c^8\,d^2+\frac{400\,a^3\,b^7\,c^9\,d}{3}+5\,a^2\,b^8\,c^{10}\right)+x^{13}\,\left(\frac{45\,a^8\,b^2\,d^{10}}{13}+\frac{1200\,a^7\,b^3\,c\,d^9}{13}+\frac{9450\,a^6\,b^4\,c^2\,d^8}{13}+\frac{30240\,a^5\,b^5\,c^3\,d^7}{13}+\frac{44100\,a^4\,b^6\,c^4\,d^6}{13}+\frac{30240\,a^3\,b^7\,c^5\,d^5}{13}+\frac{9450\,a^2\,b^8\,c^6\,d^4}{13}+\frac{1200\,a\,b^9\,c^7\,d^3}{13}+\frac{45\,b^{10}\,c^8\,d^2}{13}\right)+a^{10}\,c^{10}\,x+\frac{b^{10}\,d^{10}\,x^{21}}{21}+\frac{15\,a^7\,c^7\,x^4\,\left(4\,a^3\,d^3+15\,a^2\,b\,c\,d^2+15\,a\,b^2\,c^2\,d+4\,b^3\,c^3\right)}{2}+\frac{5\,b^7\,d^7\,x^{18}\,\left(4\,a^3\,d^3+15\,a^2\,b\,c\,d^2+15\,a\,b^2\,c^2\,d+4\,b^3\,c^3\right)}{3}+5\,a^9\,c^9\,x^2\,\left(a\,d+b\,c\right)+\frac{b^9\,d^9\,x^{20}\,\left(a\,d+b\,c\right)}{2}+\frac{5\,a^8\,c^8\,x^3\,\left(9\,a^2\,d^2+20\,a\,b\,c\,d+9\,b^2\,c^2\right)}{3}+\frac{5\,b^8\,d^8\,x^{19}\,\left(9\,a^2\,d^2+20\,a\,b\,c\,d+9\,b^2\,c^2\right)}{19}","Not used",1,"x^7*(30*a^4*b^6*c^10 + 30*a^10*c^4*d^6 + 360*a^5*b^5*c^9*d + 360*a^9*b*c^5*d^5 + 1350*a^6*b^4*c^8*d^2 + (14400*a^7*b^3*c^7*d^3)/7 + 1350*a^8*b^2*c^6*d^4) + x^15*(14*a^6*b^4*d^10 + 14*b^10*c^6*d^4 + 168*a*b^9*c^5*d^5 + 168*a^5*b^5*c*d^9 + 630*a^2*b^8*c^4*d^6 + 960*a^3*b^7*c^3*d^7 + 630*a^4*b^6*c^2*d^8) + x^5*(42*a^6*b^4*c^10 + 42*a^10*c^6*d^4 + 240*a^7*b^3*c^9*d + 240*a^9*b*c^7*d^3 + 405*a^8*b^2*c^8*d^2) + x^17*((210*a^4*b^6*d^10)/17 + (210*b^10*c^4*d^6)/17 + (1200*a*b^9*c^3*d^7)/17 + (1200*a^3*b^7*c*d^9)/17 + (2025*a^2*b^8*c^2*d^8)/17) + x^11*((a^10*d^10)/11 + (b^10*c^10)/11 + (2025*a^2*b^8*c^8*d^2)/11 + (14400*a^3*b^7*c^7*d^3)/11 + (44100*a^4*b^6*c^6*d^4)/11 + (63504*a^5*b^5*c^5*d^5)/11 + (44100*a^6*b^4*c^4*d^6)/11 + (14400*a^7*b^3*c^3*d^7)/11 + (2025*a^8*b^2*c^2*d^8)/11 + (100*a*b^9*c^9*d)/11 + (100*a^9*b*c*d^9)/11) + x^8*(15*a^3*b^7*c^10 + 15*a^10*c^3*d^7 + (525*a^4*b^6*c^9*d)/2 + (525*a^9*b*c^4*d^6)/2 + (2835*a^5*b^5*c^8*d^2)/2 + 3150*a^6*b^4*c^7*d^3 + 3150*a^7*b^3*c^6*d^4 + (2835*a^8*b^2*c^5*d^5)/2) + x^14*((60*a^7*b^3*d^10)/7 + (60*b^10*c^7*d^3)/7 + 150*a*b^9*c^6*d^4 + 150*a^6*b^4*c*d^9 + 810*a^2*b^8*c^5*d^5 + 1800*a^3*b^7*c^4*d^6 + 1800*a^4*b^6*c^3*d^7 + 810*a^5*b^5*c^2*d^8) + x^10*(a*b^9*c^10 + a^10*c*d^9 + 45*a^2*b^8*c^9*d + 45*a^9*b*c^2*d^8 + 540*a^3*b^7*c^8*d^2 + 2520*a^4*b^6*c^7*d^3 + 5292*a^5*b^5*c^6*d^4 + 5292*a^6*b^4*c^5*d^5 + 2520*a^7*b^3*c^4*d^6 + 540*a^8*b^2*c^3*d^7) + x^12*((5*a^9*b*d^10)/6 + (5*b^10*c^9*d)/6 + (75*a*b^9*c^8*d^2)/2 + (75*a^8*b^2*c*d^9)/2 + 450*a^2*b^8*c^7*d^3 + 2100*a^3*b^7*c^6*d^4 + 4410*a^4*b^6*c^5*d^5 + 4410*a^5*b^5*c^4*d^6 + 2100*a^6*b^4*c^3*d^7 + 450*a^7*b^3*c^2*d^8) + x^6*(42*a^5*b^5*c^10 + 42*a^10*c^5*d^5 + 350*a^6*b^4*c^9*d + 350*a^9*b*c^6*d^4 + 900*a^7*b^3*c^8*d^2 + 900*a^8*b^2*c^7*d^3) + x^16*((63*a^5*b^5*d^10)/4 + (63*b^10*c^5*d^5)/4 + (525*a*b^9*c^4*d^6)/4 + (525*a^4*b^6*c*d^9)/4 + (675*a^2*b^8*c^3*d^7)/2 + (675*a^3*b^7*c^2*d^8)/2) + x^9*(5*a^2*b^8*c^10 + 5*a^10*c^2*d^8 + (400*a^3*b^7*c^9*d)/3 + (400*a^9*b*c^3*d^7)/3 + 1050*a^4*b^6*c^8*d^2 + 3360*a^5*b^5*c^7*d^3 + 4900*a^6*b^4*c^6*d^4 + 3360*a^7*b^3*c^5*d^5 + 1050*a^8*b^2*c^4*d^6) + x^13*((45*a^8*b^2*d^10)/13 + (45*b^10*c^8*d^2)/13 + (1200*a*b^9*c^7*d^3)/13 + (1200*a^7*b^3*c*d^9)/13 + (9450*a^2*b^8*c^6*d^4)/13 + (30240*a^3*b^7*c^5*d^5)/13 + (44100*a^4*b^6*c^4*d^6)/13 + (30240*a^5*b^5*c^3*d^7)/13 + (9450*a^6*b^4*c^2*d^8)/13) + a^10*c^10*x + (b^10*d^10*x^21)/21 + (15*a^7*c^7*x^4*(4*a^3*d^3 + 4*b^3*c^3 + 15*a*b^2*c^2*d + 15*a^2*b*c*d^2))/2 + (5*b^7*d^7*x^18*(4*a^3*d^3 + 4*b^3*c^3 + 15*a*b^2*c^2*d + 15*a^2*b*c*d^2))/3 + 5*a^9*c^9*x^2*(a*d + b*c) + (b^9*d^9*x^20*(a*d + b*c))/2 + (5*a^8*c^8*x^3*(9*a^2*d^2 + 9*b^2*c^2 + 20*a*b*c*d))/3 + (5*b^8*d^8*x^19*(9*a^2*d^2 + 9*b^2*c^2 + 20*a*b*c*d))/19","B"
1302,1,1404,250,0.788387,"\text{Not used}","int((a + b*x)^9*(c + d*x)^10,x)","x^7\,\left(30\,a^9\,c^4\,d^6+324\,a^8\,b\,c^5\,d^5+1080\,a^7\,b^2\,c^6\,d^4+1440\,a^6\,b^3\,c^7\,d^3+810\,a^5\,b^4\,c^8\,d^2+180\,a^4\,b^5\,c^9\,d+12\,a^3\,b^6\,c^{10}\right)+x^{14}\,\left(6\,a^6\,b^3\,d^{10}+90\,a^5\,b^4\,c\,d^9+405\,a^4\,b^5\,c^2\,d^8+720\,a^3\,b^6\,c^3\,d^7+540\,a^2\,b^7\,c^4\,d^6+162\,a\,b^8\,c^5\,d^5+15\,b^9\,c^6\,d^4\right)+x^5\,\left(42\,a^9\,c^6\,d^4+216\,a^8\,b\,c^7\,d^3+324\,a^7\,b^2\,c^8\,d^2+168\,a^6\,b^3\,c^9\,d+\frac{126\,a^5\,b^4\,c^{10}}{5}\right)+x^{16}\,\left(\frac{63\,a^4\,b^5\,d^{10}}{8}+\frac{105\,a^3\,b^6\,c\,d^9}{2}+\frac{405\,a^2\,b^7\,c^2\,d^8}{4}+\frac{135\,a\,b^8\,c^3\,d^7}{2}+\frac{105\,b^9\,c^4\,d^6}{8}\right)+x^8\,\left(15\,a^9\,c^3\,d^7+\frac{945\,a^8\,b\,c^4\,d^6}{4}+1134\,a^7\,b^2\,c^5\,d^5+2205\,a^6\,b^3\,c^6\,d^4+1890\,a^5\,b^4\,c^7\,d^3+\frac{2835\,a^4\,b^5\,c^8\,d^2}{4}+105\,a^3\,b^6\,c^9\,d+\frac{9\,a^2\,b^7\,c^{10}}{2}\right)+x^{13}\,\left(\frac{36\,a^7\,b^2\,d^{10}}{13}+\frac{840\,a^6\,b^3\,c\,d^9}{13}+\frac{5670\,a^5\,b^4\,c^2\,d^8}{13}+\frac{15120\,a^4\,b^5\,c^3\,d^7}{13}+\frac{17640\,a^3\,b^6\,c^4\,d^6}{13}+\frac{9072\,a^2\,b^7\,c^5\,d^5}{13}+\frac{1890\,a\,b^8\,c^6\,d^4}{13}+\frac{120\,b^9\,c^7\,d^3}{13}\right)+x^9\,\left(5\,a^9\,c^2\,d^8+120\,a^8\,b\,c^3\,d^7+840\,a^7\,b^2\,c^4\,d^6+2352\,a^6\,b^3\,c^5\,d^5+2940\,a^5\,b^4\,c^6\,d^4+1680\,a^4\,b^5\,c^7\,d^3+420\,a^3\,b^6\,c^8\,d^2+40\,a^2\,b^7\,c^9\,d+a\,b^8\,c^{10}\right)+x^{12}\,\left(\frac{3\,a^8\,b\,d^{10}}{4}+30\,a^7\,b^2\,c\,d^9+315\,a^6\,b^3\,c^2\,d^8+1260\,a^5\,b^4\,c^3\,d^7+2205\,a^4\,b^5\,c^4\,d^6+1764\,a^3\,b^6\,c^5\,d^5+630\,a^2\,b^7\,c^6\,d^4+90\,a\,b^8\,c^7\,d^3+\frac{15\,b^9\,c^8\,d^2}{4}\right)+x^6\,\left(42\,a^9\,c^5\,d^5+315\,a^8\,b\,c^6\,d^4+720\,a^7\,b^2\,c^7\,d^3+630\,a^6\,b^3\,c^8\,d^2+210\,a^5\,b^4\,c^9\,d+21\,a^4\,b^5\,c^{10}\right)+x^{15}\,\left(\frac{42\,a^5\,b^4\,d^{10}}{5}+84\,a^4\,b^5\,c\,d^9+252\,a^3\,b^6\,c^2\,d^8+288\,a^2\,b^7\,c^3\,d^7+126\,a\,b^8\,c^4\,d^6+\frac{84\,b^9\,c^5\,d^5}{5}\right)+x^{10}\,\left(a^9\,c\,d^9+\frac{81\,a^8\,b\,c^2\,d^8}{2}+432\,a^7\,b^2\,c^3\,d^7+1764\,a^6\,b^3\,c^4\,d^6+\frac{15876\,a^5\,b^4\,c^5\,d^5}{5}+2646\,a^4\,b^5\,c^6\,d^4+1008\,a^3\,b^6\,c^7\,d^3+162\,a^2\,b^7\,c^8\,d^2+9\,a\,b^8\,c^9\,d+\frac{b^9\,c^{10}}{10}\right)+x^{11}\,\left(\frac{a^9\,d^{10}}{11}+\frac{90\,a^8\,b\,c\,d^9}{11}+\frac{1620\,a^7\,b^2\,c^2\,d^8}{11}+\frac{10080\,a^6\,b^3\,c^3\,d^7}{11}+\frac{26460\,a^5\,b^4\,c^4\,d^6}{11}+\frac{31752\,a^4\,b^5\,c^5\,d^5}{11}+\frac{17640\,a^3\,b^6\,c^6\,d^4}{11}+\frac{4320\,a^2\,b^7\,c^7\,d^3}{11}+\frac{405\,a\,b^8\,c^8\,d^2}{11}+\frac{10\,b^9\,c^9\,d}{11}\right)+a^9\,c^{10}\,x+\frac{b^9\,d^{10}\,x^{20}}{20}+\frac{3\,a^6\,c^7\,x^4\,\left(40\,a^3\,d^3+135\,a^2\,b\,c\,d^2+120\,a\,b^2\,c^2\,d+28\,b^3\,c^3\right)}{4}+\frac{3\,b^6\,d^7\,x^{17}\,\left(28\,a^3\,d^3+120\,a^2\,b\,c\,d^2+135\,a\,b^2\,c^2\,d+40\,b^3\,c^3\right)}{17}+\frac{a^8\,c^9\,x^2\,\left(10\,a\,d+9\,b\,c\right)}{2}+\frac{b^8\,d^9\,x^{19}\,\left(9\,a\,d+10\,b\,c\right)}{19}+3\,a^7\,c^8\,x^3\,\left(5\,a^2\,d^2+10\,a\,b\,c\,d+4\,b^2\,c^2\right)+\frac{b^7\,d^8\,x^{18}\,\left(4\,a^2\,d^2+10\,a\,b\,c\,d+5\,b^2\,c^2\right)}{2}","Not used",1,"x^7*(12*a^3*b^6*c^10 + 30*a^9*c^4*d^6 + 180*a^4*b^5*c^9*d + 324*a^8*b*c^5*d^5 + 810*a^5*b^4*c^8*d^2 + 1440*a^6*b^3*c^7*d^3 + 1080*a^7*b^2*c^6*d^4) + x^14*(6*a^6*b^3*d^10 + 15*b^9*c^6*d^4 + 162*a*b^8*c^5*d^5 + 90*a^5*b^4*c*d^9 + 540*a^2*b^7*c^4*d^6 + 720*a^3*b^6*c^3*d^7 + 405*a^4*b^5*c^2*d^8) + x^5*((126*a^5*b^4*c^10)/5 + 42*a^9*c^6*d^4 + 168*a^6*b^3*c^9*d + 216*a^8*b*c^7*d^3 + 324*a^7*b^2*c^8*d^2) + x^16*((63*a^4*b^5*d^10)/8 + (105*b^9*c^4*d^6)/8 + (135*a*b^8*c^3*d^7)/2 + (105*a^3*b^6*c*d^9)/2 + (405*a^2*b^7*c^2*d^8)/4) + x^8*((9*a^2*b^7*c^10)/2 + 15*a^9*c^3*d^7 + 105*a^3*b^6*c^9*d + (945*a^8*b*c^4*d^6)/4 + (2835*a^4*b^5*c^8*d^2)/4 + 1890*a^5*b^4*c^7*d^3 + 2205*a^6*b^3*c^6*d^4 + 1134*a^7*b^2*c^5*d^5) + x^13*((36*a^7*b^2*d^10)/13 + (120*b^9*c^7*d^3)/13 + (1890*a*b^8*c^6*d^4)/13 + (840*a^6*b^3*c*d^9)/13 + (9072*a^2*b^7*c^5*d^5)/13 + (17640*a^3*b^6*c^4*d^6)/13 + (15120*a^4*b^5*c^3*d^7)/13 + (5670*a^5*b^4*c^2*d^8)/13) + x^9*(a*b^8*c^10 + 5*a^9*c^2*d^8 + 40*a^2*b^7*c^9*d + 120*a^8*b*c^3*d^7 + 420*a^3*b^6*c^8*d^2 + 1680*a^4*b^5*c^7*d^3 + 2940*a^5*b^4*c^6*d^4 + 2352*a^6*b^3*c^5*d^5 + 840*a^7*b^2*c^4*d^6) + x^12*((3*a^8*b*d^10)/4 + (15*b^9*c^8*d^2)/4 + 90*a*b^8*c^7*d^3 + 30*a^7*b^2*c*d^9 + 630*a^2*b^7*c^6*d^4 + 1764*a^3*b^6*c^5*d^5 + 2205*a^4*b^5*c^4*d^6 + 1260*a^5*b^4*c^3*d^7 + 315*a^6*b^3*c^2*d^8) + x^6*(21*a^4*b^5*c^10 + 42*a^9*c^5*d^5 + 210*a^5*b^4*c^9*d + 315*a^8*b*c^6*d^4 + 630*a^6*b^3*c^8*d^2 + 720*a^7*b^2*c^7*d^3) + x^15*((42*a^5*b^4*d^10)/5 + (84*b^9*c^5*d^5)/5 + 126*a*b^8*c^4*d^6 + 84*a^4*b^5*c*d^9 + 288*a^2*b^7*c^3*d^7 + 252*a^3*b^6*c^2*d^8) + x^10*((b^9*c^10)/10 + a^9*c*d^9 + (81*a^8*b*c^2*d^8)/2 + 162*a^2*b^7*c^8*d^2 + 1008*a^3*b^6*c^7*d^3 + 2646*a^4*b^5*c^6*d^4 + (15876*a^5*b^4*c^5*d^5)/5 + 1764*a^6*b^3*c^4*d^6 + 432*a^7*b^2*c^3*d^7 + 9*a*b^8*c^9*d) + x^11*((a^9*d^10)/11 + (10*b^9*c^9*d)/11 + (405*a*b^8*c^8*d^2)/11 + (4320*a^2*b^7*c^7*d^3)/11 + (17640*a^3*b^6*c^6*d^4)/11 + (31752*a^4*b^5*c^5*d^5)/11 + (26460*a^5*b^4*c^4*d^6)/11 + (10080*a^6*b^3*c^3*d^7)/11 + (1620*a^7*b^2*c^2*d^8)/11 + (90*a^8*b*c*d^9)/11) + a^9*c^10*x + (b^9*d^10*x^20)/20 + (3*a^6*c^7*x^4*(40*a^3*d^3 + 28*b^3*c^3 + 120*a*b^2*c^2*d + 135*a^2*b*c*d^2))/4 + (3*b^6*d^7*x^17*(28*a^3*d^3 + 40*b^3*c^3 + 135*a*b^2*c^2*d + 120*a^2*b*c*d^2))/17 + (a^8*c^9*x^2*(10*a*d + 9*b*c))/2 + (b^8*d^9*x^19*(9*a*d + 10*b*c))/19 + 3*a^7*c^8*x^3*(5*a^2*d^2 + 4*b^2*c^2 + 10*a*b*c*d) + (b^7*d^8*x^18*(4*a^2*d^2 + 5*b^2*c^2 + 10*a*b*c*d))/2","B"
1303,1,1253,225,0.706788,"\text{Not used}","int((a + b*x)^8*(c + d*x)^10,x)","x^7\,\left(30\,a^8\,c^4\,d^6+288\,a^7\,b\,c^5\,d^5+840\,a^6\,b^2\,c^6\,d^4+960\,a^5\,b^3\,c^7\,d^3+450\,a^4\,b^4\,c^8\,d^2+80\,a^3\,b^5\,c^9\,d+4\,a^2\,b^6\,c^{10}\right)+x^{13}\,\left(\frac{28\,a^6\,b^2\,d^{10}}{13}+\frac{560\,a^5\,b^3\,c\,d^9}{13}+\frac{3150\,a^4\,b^4\,c^2\,d^8}{13}+\frac{6720\,a^3\,b^5\,c^3\,d^7}{13}+\frac{5880\,a^2\,b^6\,c^4\,d^6}{13}+\frac{2016\,a\,b^7\,c^5\,d^5}{13}+\frac{210\,b^8\,c^6\,d^4}{13}\right)+x^8\,\left(15\,a^8\,c^3\,d^7+210\,a^7\,b\,c^4\,d^6+882\,a^6\,b^2\,c^5\,d^5+1470\,a^5\,b^3\,c^6\,d^4+1050\,a^4\,b^4\,c^7\,d^3+315\,a^3\,b^5\,c^8\,d^2+35\,a^2\,b^6\,c^9\,d+a\,b^7\,c^{10}\right)+x^{12}\,\left(\frac{2\,a^7\,b\,d^{10}}{3}+\frac{70\,a^6\,b^2\,c\,d^9}{3}+210\,a^5\,b^3\,c^2\,d^8+700\,a^4\,b^4\,c^3\,d^7+980\,a^3\,b^5\,c^4\,d^6+588\,a^2\,b^6\,c^5\,d^5+140\,a\,b^7\,c^6\,d^4+10\,b^8\,c^7\,d^3\right)+x^{10}\,\left(a^8\,c\,d^9+36\,a^7\,b\,c^2\,d^8+336\,a^6\,b^2\,c^3\,d^7+1176\,a^5\,b^3\,c^4\,d^6+1764\,a^4\,b^4\,c^5\,d^5+1176\,a^3\,b^5\,c^6\,d^4+336\,a^2\,b^6\,c^7\,d^3+36\,a\,b^7\,c^8\,d^2+b^8\,c^9\,d\right)+x^5\,\left(42\,a^8\,c^6\,d^4+192\,a^7\,b\,c^7\,d^3+252\,a^6\,b^2\,c^8\,d^2+112\,a^5\,b^3\,c^9\,d+14\,a^4\,b^4\,c^{10}\right)+x^{15}\,\left(\frac{14\,a^4\,b^4\,d^{10}}{3}+\frac{112\,a^3\,b^5\,c\,d^9}{3}+84\,a^2\,b^6\,c^2\,d^8+64\,a\,b^7\,c^3\,d^7+14\,b^8\,c^4\,d^6\right)+x^6\,\left(42\,a^8\,c^5\,d^5+280\,a^7\,b\,c^6\,d^4+560\,a^6\,b^2\,c^7\,d^3+420\,a^5\,b^3\,c^8\,d^2+\frac{350\,a^4\,b^4\,c^9\,d}{3}+\frac{28\,a^3\,b^5\,c^{10}}{3}\right)+x^{14}\,\left(4\,a^5\,b^3\,d^{10}+50\,a^4\,b^4\,c\,d^9+180\,a^3\,b^5\,c^2\,d^8+240\,a^2\,b^6\,c^3\,d^7+120\,a\,b^7\,c^4\,d^6+18\,b^8\,c^5\,d^5\right)+x^9\,\left(5\,a^8\,c^2\,d^8+\frac{320\,a^7\,b\,c^3\,d^7}{3}+\frac{1960\,a^6\,b^2\,c^4\,d^6}{3}+1568\,a^5\,b^3\,c^5\,d^5+\frac{4900\,a^4\,b^4\,c^6\,d^4}{3}+\frac{2240\,a^3\,b^5\,c^7\,d^3}{3}+140\,a^2\,b^6\,c^8\,d^2+\frac{80\,a\,b^7\,c^9\,d}{9}+\frac{b^8\,c^{10}}{9}\right)+x^{11}\,\left(\frac{a^8\,d^{10}}{11}+\frac{80\,a^7\,b\,c\,d^9}{11}+\frac{1260\,a^6\,b^2\,c^2\,d^8}{11}+\frac{6720\,a^5\,b^3\,c^3\,d^7}{11}+\frac{14700\,a^4\,b^4\,c^4\,d^6}{11}+\frac{14112\,a^3\,b^5\,c^5\,d^5}{11}+\frac{5880\,a^2\,b^6\,c^6\,d^4}{11}+\frac{960\,a\,b^7\,c^7\,d^3}{11}+\frac{45\,b^8\,c^8\,d^2}{11}\right)+a^8\,c^{10}\,x+\frac{b^8\,d^{10}\,x^{19}}{19}+2\,a^5\,c^7\,x^4\,\left(15\,a^3\,d^3+45\,a^2\,b\,c\,d^2+35\,a\,b^2\,c^2\,d+7\,b^3\,c^3\right)+\frac{b^5\,d^7\,x^{16}\,\left(7\,a^3\,d^3+35\,a^2\,b\,c\,d^2+45\,a\,b^2\,c^2\,d+15\,b^3\,c^3\right)}{2}+a^7\,c^9\,x^2\,\left(5\,a\,d+4\,b\,c\right)+\frac{b^7\,d^9\,x^{18}\,\left(4\,a\,d+5\,b\,c\right)}{9}+\frac{a^6\,c^8\,x^3\,\left(45\,a^2\,d^2+80\,a\,b\,c\,d+28\,b^2\,c^2\right)}{3}+\frac{b^6\,d^8\,x^{17}\,\left(28\,a^2\,d^2+80\,a\,b\,c\,d+45\,b^2\,c^2\right)}{17}","Not used",1,"x^7*(4*a^2*b^6*c^10 + 30*a^8*c^4*d^6 + 80*a^3*b^5*c^9*d + 288*a^7*b*c^5*d^5 + 450*a^4*b^4*c^8*d^2 + 960*a^5*b^3*c^7*d^3 + 840*a^6*b^2*c^6*d^4) + x^13*((28*a^6*b^2*d^10)/13 + (210*b^8*c^6*d^4)/13 + (2016*a*b^7*c^5*d^5)/13 + (560*a^5*b^3*c*d^9)/13 + (5880*a^2*b^6*c^4*d^6)/13 + (6720*a^3*b^5*c^3*d^7)/13 + (3150*a^4*b^4*c^2*d^8)/13) + x^8*(a*b^7*c^10 + 15*a^8*c^3*d^7 + 35*a^2*b^6*c^9*d + 210*a^7*b*c^4*d^6 + 315*a^3*b^5*c^8*d^2 + 1050*a^4*b^4*c^7*d^3 + 1470*a^5*b^3*c^6*d^4 + 882*a^6*b^2*c^5*d^5) + x^12*((2*a^7*b*d^10)/3 + 10*b^8*c^7*d^3 + 140*a*b^7*c^6*d^4 + (70*a^6*b^2*c*d^9)/3 + 588*a^2*b^6*c^5*d^5 + 980*a^3*b^5*c^4*d^6 + 700*a^4*b^4*c^3*d^7 + 210*a^5*b^3*c^2*d^8) + x^10*(a^8*c*d^9 + b^8*c^9*d + 36*a*b^7*c^8*d^2 + 36*a^7*b*c^2*d^8 + 336*a^2*b^6*c^7*d^3 + 1176*a^3*b^5*c^6*d^4 + 1764*a^4*b^4*c^5*d^5 + 1176*a^5*b^3*c^4*d^6 + 336*a^6*b^2*c^3*d^7) + x^5*(14*a^4*b^4*c^10 + 42*a^8*c^6*d^4 + 112*a^5*b^3*c^9*d + 192*a^7*b*c^7*d^3 + 252*a^6*b^2*c^8*d^2) + x^15*((14*a^4*b^4*d^10)/3 + 14*b^8*c^4*d^6 + 64*a*b^7*c^3*d^7 + (112*a^3*b^5*c*d^9)/3 + 84*a^2*b^6*c^2*d^8) + x^6*((28*a^3*b^5*c^10)/3 + 42*a^8*c^5*d^5 + (350*a^4*b^4*c^9*d)/3 + 280*a^7*b*c^6*d^4 + 420*a^5*b^3*c^8*d^2 + 560*a^6*b^2*c^7*d^3) + x^14*(4*a^5*b^3*d^10 + 18*b^8*c^5*d^5 + 120*a*b^7*c^4*d^6 + 50*a^4*b^4*c*d^9 + 240*a^2*b^6*c^3*d^7 + 180*a^3*b^5*c^2*d^8) + x^9*((b^8*c^10)/9 + 5*a^8*c^2*d^8 + (320*a^7*b*c^3*d^7)/3 + 140*a^2*b^6*c^8*d^2 + (2240*a^3*b^5*c^7*d^3)/3 + (4900*a^4*b^4*c^6*d^4)/3 + 1568*a^5*b^3*c^5*d^5 + (1960*a^6*b^2*c^4*d^6)/3 + (80*a*b^7*c^9*d)/9) + x^11*((a^8*d^10)/11 + (45*b^8*c^8*d^2)/11 + (960*a*b^7*c^7*d^3)/11 + (5880*a^2*b^6*c^6*d^4)/11 + (14112*a^3*b^5*c^5*d^5)/11 + (14700*a^4*b^4*c^4*d^6)/11 + (6720*a^5*b^3*c^3*d^7)/11 + (1260*a^6*b^2*c^2*d^8)/11 + (80*a^7*b*c*d^9)/11) + a^8*c^10*x + (b^8*d^10*x^19)/19 + 2*a^5*c^7*x^4*(15*a^3*d^3 + 7*b^3*c^3 + 35*a*b^2*c^2*d + 45*a^2*b*c*d^2) + (b^5*d^7*x^16*(7*a^3*d^3 + 15*b^3*c^3 + 45*a*b^2*c^2*d + 35*a^2*b*c*d^2))/2 + a^7*c^9*x^2*(5*a*d + 4*b*c) + (b^7*d^9*x^18*(4*a*d + 5*b*c))/9 + (a^6*c^8*x^3*(45*a^2*d^2 + 28*b^2*c^2 + 80*a*b*c*d))/3 + (b^6*d^8*x^17*(28*a^2*d^2 + 45*b^2*c^2 + 80*a*b*c*d))/17","B"
1304,1,1106,200,0.612541,"\text{Not used}","int((a + b*x)^7*(c + d*x)^10,x)","x^{10}\,\left(a^7\,c\,d^9+\frac{63\,a^6\,b\,c^2\,d^8}{2}+252\,a^5\,b^2\,c^3\,d^7+735\,a^4\,b^3\,c^4\,d^6+882\,a^3\,b^4\,c^5\,d^5+441\,a^2\,b^5\,c^6\,d^4+84\,a\,b^6\,c^7\,d^3+\frac{9\,b^7\,c^8\,d^2}{2}\right)+x^9\,\left(5\,a^7\,c^2\,d^8+\frac{280\,a^6\,b\,c^3\,d^7}{3}+490\,a^5\,b^2\,c^4\,d^6+980\,a^4\,b^3\,c^5\,d^5+\frac{2450\,a^3\,b^4\,c^6\,d^4}{3}+280\,a^2\,b^5\,c^7\,d^3+35\,a\,b^6\,c^8\,d^2+\frac{10\,b^7\,c^9\,d}{9}\right)+x^5\,\left(42\,a^7\,c^6\,d^4+168\,a^6\,b\,c^7\,d^3+189\,a^5\,b^2\,c^8\,d^2+70\,a^4\,b^3\,c^9\,d+7\,a^3\,b^4\,c^{10}\right)+x^{14}\,\left(\frac{5\,a^4\,b^3\,d^{10}}{2}+25\,a^3\,b^4\,c\,d^9+\frac{135\,a^2\,b^5\,c^2\,d^8}{2}+60\,a\,b^6\,c^3\,d^7+15\,b^7\,c^4\,d^6\right)+x^8\,\left(15\,a^7\,c^3\,d^7+\frac{735\,a^6\,b\,c^4\,d^6}{4}+\frac{1323\,a^5\,b^2\,c^5\,d^5}{2}+\frac{3675\,a^4\,b^3\,c^6\,d^4}{4}+525\,a^3\,b^4\,c^7\,d^3+\frac{945\,a^2\,b^5\,c^8\,d^2}{8}+\frac{35\,a\,b^6\,c^9\,d}{4}+\frac{b^7\,c^{10}}{8}\right)+x^{11}\,\left(\frac{a^7\,d^{10}}{11}+\frac{70\,a^6\,b\,c\,d^9}{11}+\frac{945\,a^5\,b^2\,c^2\,d^8}{11}+\frac{4200\,a^4\,b^3\,c^3\,d^7}{11}+\frac{7350\,a^3\,b^4\,c^4\,d^6}{11}+\frac{5292\,a^2\,b^5\,c^5\,d^5}{11}+\frac{1470\,a\,b^6\,c^6\,d^4}{11}+\frac{120\,b^7\,c^7\,d^3}{11}\right)+x^6\,\left(42\,a^7\,c^5\,d^5+245\,a^6\,b\,c^6\,d^4+420\,a^5\,b^2\,c^7\,d^3+\frac{525\,a^4\,b^3\,c^8\,d^2}{2}+\frac{175\,a^3\,b^4\,c^9\,d}{3}+\frac{7\,a^2\,b^5\,c^{10}}{2}\right)+x^{13}\,\left(\frac{21\,a^5\,b^2\,d^{10}}{13}+\frac{350\,a^4\,b^3\,c\,d^9}{13}+\frac{1575\,a^3\,b^4\,c^2\,d^8}{13}+\frac{2520\,a^2\,b^5\,c^3\,d^7}{13}+\frac{1470\,a\,b^6\,c^4\,d^6}{13}+\frac{252\,b^7\,c^5\,d^5}{13}\right)+x^7\,\left(30\,a^7\,c^4\,d^6+252\,a^6\,b\,c^5\,d^5+630\,a^5\,b^2\,c^6\,d^4+600\,a^4\,b^3\,c^7\,d^3+225\,a^3\,b^4\,c^8\,d^2+30\,a^2\,b^5\,c^9\,d+a\,b^6\,c^{10}\right)+x^{12}\,\left(\frac{7\,a^6\,b\,d^{10}}{12}+\frac{35\,a^5\,b^2\,c\,d^9}{2}+\frac{525\,a^4\,b^3\,c^2\,d^8}{4}+350\,a^3\,b^4\,c^3\,d^7+\frac{735\,a^2\,b^5\,c^4\,d^6}{2}+147\,a\,b^6\,c^5\,d^5+\frac{35\,b^7\,c^6\,d^4}{2}\right)+a^7\,c^{10}\,x+\frac{b^7\,d^{10}\,x^{18}}{18}+\frac{5\,a^4\,c^7\,x^4\,\left(24\,a^3\,d^3+63\,a^2\,b\,c\,d^2+42\,a\,b^2\,c^2\,d+7\,b^3\,c^3\right)}{4}+\frac{b^4\,d^7\,x^{15}\,\left(7\,a^3\,d^3+42\,a^2\,b\,c\,d^2+63\,a\,b^2\,c^2\,d+24\,b^3\,c^3\right)}{3}+\frac{a^6\,c^9\,x^2\,\left(10\,a\,d+7\,b\,c\right)}{2}+\frac{b^6\,d^9\,x^{17}\,\left(7\,a\,d+10\,b\,c\right)}{17}+\frac{a^5\,c^8\,x^3\,\left(45\,a^2\,d^2+70\,a\,b\,c\,d+21\,b^2\,c^2\right)}{3}+\frac{b^5\,d^8\,x^{16}\,\left(21\,a^2\,d^2+70\,a\,b\,c\,d+45\,b^2\,c^2\right)}{16}","Not used",1,"x^10*(a^7*c*d^9 + (9*b^7*c^8*d^2)/2 + 84*a*b^6*c^7*d^3 + (63*a^6*b*c^2*d^8)/2 + 441*a^2*b^5*c^6*d^4 + 882*a^3*b^4*c^5*d^5 + 735*a^4*b^3*c^4*d^6 + 252*a^5*b^2*c^3*d^7) + x^9*((10*b^7*c^9*d)/9 + 5*a^7*c^2*d^8 + 35*a*b^6*c^8*d^2 + (280*a^6*b*c^3*d^7)/3 + 280*a^2*b^5*c^7*d^3 + (2450*a^3*b^4*c^6*d^4)/3 + 980*a^4*b^3*c^5*d^5 + 490*a^5*b^2*c^4*d^6) + x^5*(7*a^3*b^4*c^10 + 42*a^7*c^6*d^4 + 70*a^4*b^3*c^9*d + 168*a^6*b*c^7*d^3 + 189*a^5*b^2*c^8*d^2) + x^14*((5*a^4*b^3*d^10)/2 + 15*b^7*c^4*d^6 + 60*a*b^6*c^3*d^7 + 25*a^3*b^4*c*d^9 + (135*a^2*b^5*c^2*d^8)/2) + x^8*((b^7*c^10)/8 + 15*a^7*c^3*d^7 + (735*a^6*b*c^4*d^6)/4 + (945*a^2*b^5*c^8*d^2)/8 + 525*a^3*b^4*c^7*d^3 + (3675*a^4*b^3*c^6*d^4)/4 + (1323*a^5*b^2*c^5*d^5)/2 + (35*a*b^6*c^9*d)/4) + x^11*((a^7*d^10)/11 + (120*b^7*c^7*d^3)/11 + (1470*a*b^6*c^6*d^4)/11 + (5292*a^2*b^5*c^5*d^5)/11 + (7350*a^3*b^4*c^4*d^6)/11 + (4200*a^4*b^3*c^3*d^7)/11 + (945*a^5*b^2*c^2*d^8)/11 + (70*a^6*b*c*d^9)/11) + x^6*((7*a^2*b^5*c^10)/2 + 42*a^7*c^5*d^5 + (175*a^3*b^4*c^9*d)/3 + 245*a^6*b*c^6*d^4 + (525*a^4*b^3*c^8*d^2)/2 + 420*a^5*b^2*c^7*d^3) + x^13*((21*a^5*b^2*d^10)/13 + (252*b^7*c^5*d^5)/13 + (1470*a*b^6*c^4*d^6)/13 + (350*a^4*b^3*c*d^9)/13 + (2520*a^2*b^5*c^3*d^7)/13 + (1575*a^3*b^4*c^2*d^8)/13) + x^7*(a*b^6*c^10 + 30*a^7*c^4*d^6 + 30*a^2*b^5*c^9*d + 252*a^6*b*c^5*d^5 + 225*a^3*b^4*c^8*d^2 + 600*a^4*b^3*c^7*d^3 + 630*a^5*b^2*c^6*d^4) + x^12*((7*a^6*b*d^10)/12 + (35*b^7*c^6*d^4)/2 + 147*a*b^6*c^5*d^5 + (35*a^5*b^2*c*d^9)/2 + (735*a^2*b^5*c^4*d^6)/2 + 350*a^3*b^4*c^3*d^7 + (525*a^4*b^3*c^2*d^8)/4) + a^7*c^10*x + (b^7*d^10*x^18)/18 + (5*a^4*c^7*x^4*(24*a^3*d^3 + 7*b^3*c^3 + 42*a*b^2*c^2*d + 63*a^2*b*c*d^2))/4 + (b^4*d^7*x^15*(7*a^3*d^3 + 24*b^3*c^3 + 63*a*b^2*c^2*d + 42*a^2*b*c*d^2))/3 + (a^6*c^9*x^2*(10*a*d + 7*b*c))/2 + (b^6*d^9*x^17*(7*a*d + 10*b*c))/17 + (a^5*c^8*x^3*(45*a^2*d^2 + 21*b^2*c^2 + 70*a*b*c*d))/3 + (b^5*d^8*x^16*(21*a^2*d^2 + 45*b^2*c^2 + 70*a*b*c*d))/16","B"
1305,1,953,170,0.532482,"\text{Not used}","int((a + b*x)^6*(c + d*x)^10,x)","x^7\,\left(30\,a^6\,c^4\,d^6+216\,a^5\,b\,c^5\,d^5+450\,a^4\,b^2\,c^6\,d^4+\frac{2400\,a^3\,b^3\,c^7\,d^3}{7}+\frac{675\,a^2\,b^4\,c^8\,d^2}{7}+\frac{60\,a\,b^5\,c^9\,d}{7}+\frac{b^6\,c^{10}}{7}\right)+x^{11}\,\left(\frac{a^6\,d^{10}}{11}+\frac{60\,a^5\,b\,c\,d^9}{11}+\frac{675\,a^4\,b^2\,c^2\,d^8}{11}+\frac{2400\,a^3\,b^3\,c^3\,d^7}{11}+\frac{3150\,a^2\,b^4\,c^4\,d^6}{11}+\frac{1512\,a\,b^5\,c^5\,d^5}{11}+\frac{210\,b^6\,c^6\,d^4}{11}\right)+x^9\,\left(5\,a^6\,c^2\,d^8+80\,a^5\,b\,c^3\,d^7+350\,a^4\,b^2\,c^4\,d^6+560\,a^3\,b^3\,c^5\,d^5+350\,a^2\,b^4\,c^6\,d^4+80\,a\,b^5\,c^7\,d^3+5\,b^6\,c^8\,d^2\right)+x^5\,\left(42\,a^6\,c^6\,d^4+144\,a^5\,b\,c^7\,d^3+135\,a^4\,b^2\,c^8\,d^2+40\,a^3\,b^3\,c^9\,d+3\,a^2\,b^4\,c^{10}\right)+x^{13}\,\left(\frac{15\,a^4\,b^2\,d^{10}}{13}+\frac{200\,a^3\,b^3\,c\,d^9}{13}+\frac{675\,a^2\,b^4\,c^2\,d^8}{13}+\frac{720\,a\,b^5\,c^3\,d^7}{13}+\frac{210\,b^6\,c^4\,d^6}{13}\right)+x^6\,\left(42\,a^6\,c^5\,d^5+210\,a^5\,b\,c^6\,d^4+300\,a^4\,b^2\,c^7\,d^3+150\,a^3\,b^3\,c^8\,d^2+25\,a^2\,b^4\,c^9\,d+a\,b^5\,c^{10}\right)+x^{12}\,\left(\frac{a^5\,b\,d^{10}}{2}+\frac{25\,a^4\,b^2\,c\,d^9}{2}+75\,a^3\,b^3\,c^2\,d^8+150\,a^2\,b^4\,c^3\,d^7+105\,a\,b^5\,c^4\,d^6+21\,b^6\,c^5\,d^5\right)+x^{10}\,\left(a^6\,c\,d^9+27\,a^5\,b\,c^2\,d^8+180\,a^4\,b^2\,c^3\,d^7+420\,a^3\,b^3\,c^4\,d^6+378\,a^2\,b^4\,c^5\,d^5+126\,a\,b^5\,c^6\,d^4+12\,b^6\,c^7\,d^3\right)+x^8\,\left(15\,a^6\,c^3\,d^7+\frac{315\,a^5\,b\,c^4\,d^6}{2}+\frac{945\,a^4\,b^2\,c^5\,d^5}{2}+525\,a^3\,b^3\,c^6\,d^4+225\,a^2\,b^4\,c^7\,d^3+\frac{135\,a\,b^5\,c^8\,d^2}{4}+\frac{5\,b^6\,c^9\,d}{4}\right)+a^6\,c^{10}\,x+\frac{b^6\,d^{10}\,x^{17}}{17}+\frac{5\,a^3\,c^7\,x^4\,\left(12\,a^3\,d^3+27\,a^2\,b\,c\,d^2+15\,a\,b^2\,c^2\,d+2\,b^3\,c^3\right)}{2}+\frac{5\,b^3\,d^7\,x^{14}\,\left(2\,a^3\,d^3+15\,a^2\,b\,c\,d^2+27\,a\,b^2\,c^2\,d+12\,b^3\,c^3\right)}{7}+a^5\,c^9\,x^2\,\left(5\,a\,d+3\,b\,c\right)+\frac{b^5\,d^9\,x^{16}\,\left(3\,a\,d+5\,b\,c\right)}{8}+5\,a^4\,c^8\,x^3\,\left(3\,a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)+b^4\,d^8\,x^{15}\,\left(a^2\,d^2+4\,a\,b\,c\,d+3\,b^2\,c^2\right)","Not used",1,"x^7*((b^6*c^10)/7 + 30*a^6*c^4*d^6 + 216*a^5*b*c^5*d^5 + (675*a^2*b^4*c^8*d^2)/7 + (2400*a^3*b^3*c^7*d^3)/7 + 450*a^4*b^2*c^6*d^4 + (60*a*b^5*c^9*d)/7) + x^11*((a^6*d^10)/11 + (210*b^6*c^6*d^4)/11 + (1512*a*b^5*c^5*d^5)/11 + (3150*a^2*b^4*c^4*d^6)/11 + (2400*a^3*b^3*c^3*d^7)/11 + (675*a^4*b^2*c^2*d^8)/11 + (60*a^5*b*c*d^9)/11) + x^9*(5*a^6*c^2*d^8 + 5*b^6*c^8*d^2 + 80*a*b^5*c^7*d^3 + 80*a^5*b*c^3*d^7 + 350*a^2*b^4*c^6*d^4 + 560*a^3*b^3*c^5*d^5 + 350*a^4*b^2*c^4*d^6) + x^5*(3*a^2*b^4*c^10 + 42*a^6*c^6*d^4 + 40*a^3*b^3*c^9*d + 144*a^5*b*c^7*d^3 + 135*a^4*b^2*c^8*d^2) + x^13*((15*a^4*b^2*d^10)/13 + (210*b^6*c^4*d^6)/13 + (720*a*b^5*c^3*d^7)/13 + (200*a^3*b^3*c*d^9)/13 + (675*a^2*b^4*c^2*d^8)/13) + x^6*(a*b^5*c^10 + 42*a^6*c^5*d^5 + 25*a^2*b^4*c^9*d + 210*a^5*b*c^6*d^4 + 150*a^3*b^3*c^8*d^2 + 300*a^4*b^2*c^7*d^3) + x^12*((a^5*b*d^10)/2 + 21*b^6*c^5*d^5 + 105*a*b^5*c^4*d^6 + (25*a^4*b^2*c*d^9)/2 + 150*a^2*b^4*c^3*d^7 + 75*a^3*b^3*c^2*d^8) + x^10*(a^6*c*d^9 + 12*b^6*c^7*d^3 + 126*a*b^5*c^6*d^4 + 27*a^5*b*c^2*d^8 + 378*a^2*b^4*c^5*d^5 + 420*a^3*b^3*c^4*d^6 + 180*a^4*b^2*c^3*d^7) + x^8*((5*b^6*c^9*d)/4 + 15*a^6*c^3*d^7 + (135*a*b^5*c^8*d^2)/4 + (315*a^5*b*c^4*d^6)/2 + 225*a^2*b^4*c^7*d^3 + 525*a^3*b^3*c^6*d^4 + (945*a^4*b^2*c^5*d^5)/2) + a^6*c^10*x + (b^6*d^10*x^17)/17 + (5*a^3*c^7*x^4*(12*a^3*d^3 + 2*b^3*c^3 + 15*a*b^2*c^2*d + 27*a^2*b*c*d^2))/2 + (5*b^3*d^7*x^14*(2*a^3*d^3 + 12*b^3*c^3 + 27*a*b^2*c^2*d + 15*a^2*b*c*d^2))/7 + a^5*c^9*x^2*(5*a*d + 3*b*c) + (b^5*d^9*x^16*(3*a*d + 5*b*c))/8 + 5*a^4*c^8*x^3*(3*a^2*d^2 + b^2*c^2 + 4*a*b*c*d) + b^4*d^8*x^15*(a^2*d^2 + 3*b^2*c^2 + 4*a*b*c*d)","B"
1306,1,806,146,0.340713,"\text{Not used}","int((a + b*x)^5*(c + d*x)^10,x)","x^{10}\,\left(a^5\,c\,d^9+\frac{45\,a^4\,b\,c^2\,d^8}{2}+120\,a^3\,b^2\,c^3\,d^7+210\,a^2\,b^3\,c^4\,d^6+126\,a\,b^4\,c^5\,d^5+21\,b^5\,c^6\,d^4\right)+x^7\,\left(30\,a^5\,c^4\,d^6+180\,a^4\,b\,c^5\,d^5+300\,a^3\,b^2\,c^6\,d^4+\frac{1200\,a^2\,b^3\,c^7\,d^3}{7}+\frac{225\,a\,b^4\,c^8\,d^2}{7}+\frac{10\,b^5\,c^9\,d}{7}\right)+x^6\,\left(42\,a^5\,c^5\,d^5+175\,a^4\,b\,c^6\,d^4+200\,a^3\,b^2\,c^7\,d^3+75\,a^2\,b^3\,c^8\,d^2+\frac{25\,a\,b^4\,c^9\,d}{3}+\frac{b^5\,c^{10}}{6}\right)+x^{11}\,\left(\frac{a^5\,d^{10}}{11}+\frac{50\,a^4\,b\,c\,d^9}{11}+\frac{450\,a^3\,b^2\,c^2\,d^8}{11}+\frac{1200\,a^2\,b^3\,c^3\,d^7}{11}+\frac{1050\,a\,b^4\,c^4\,d^6}{11}+\frac{252\,b^5\,c^5\,d^5}{11}\right)+x^8\,\left(15\,a^5\,c^3\,d^7+\frac{525\,a^4\,b\,c^4\,d^6}{4}+315\,a^3\,b^2\,c^5\,d^5+\frac{525\,a^2\,b^3\,c^6\,d^4}{2}+75\,a\,b^4\,c^7\,d^3+\frac{45\,b^5\,c^8\,d^2}{8}\right)+x^9\,\left(5\,a^5\,c^2\,d^8+\frac{200\,a^4\,b\,c^3\,d^7}{3}+\frac{700\,a^3\,b^2\,c^4\,d^6}{3}+280\,a^2\,b^3\,c^5\,d^5+\frac{350\,a\,b^4\,c^6\,d^4}{3}+\frac{40\,b^5\,c^7\,d^3}{3}\right)+x^5\,\left(42\,a^5\,c^6\,d^4+120\,a^4\,b\,c^7\,d^3+90\,a^3\,b^2\,c^8\,d^2+20\,a^2\,b^3\,c^9\,d+a\,b^4\,c^{10}\right)+x^{12}\,\left(\frac{5\,a^4\,b\,d^{10}}{12}+\frac{25\,a^3\,b^2\,c\,d^9}{3}+\frac{75\,a^2\,b^3\,c^2\,d^8}{2}+50\,a\,b^4\,c^3\,d^7+\frac{35\,b^5\,c^4\,d^6}{2}\right)+a^5\,c^{10}\,x+\frac{b^5\,d^{10}\,x^{16}}{16}+\frac{5\,a^2\,c^7\,x^4\,\left(24\,a^3\,d^3+45\,a^2\,b\,c\,d^2+20\,a\,b^2\,c^2\,d+2\,b^3\,c^3\right)}{4}+\frac{5\,b^2\,d^7\,x^{13}\,\left(2\,a^3\,d^3+20\,a^2\,b\,c\,d^2+45\,a\,b^2\,c^2\,d+24\,b^3\,c^3\right)}{13}+\frac{5\,a^4\,c^9\,x^2\,\left(2\,a\,d+b\,c\right)}{2}+\frac{b^4\,d^9\,x^{15}\,\left(a\,d+2\,b\,c\right)}{3}+\frac{5\,a^3\,c^8\,x^3\,\left(9\,a^2\,d^2+10\,a\,b\,c\,d+2\,b^2\,c^2\right)}{3}+\frac{5\,b^3\,d^8\,x^{14}\,\left(2\,a^2\,d^2+10\,a\,b\,c\,d+9\,b^2\,c^2\right)}{14}","Not used",1,"x^10*(a^5*c*d^9 + 21*b^5*c^6*d^4 + 126*a*b^4*c^5*d^5 + (45*a^4*b*c^2*d^8)/2 + 210*a^2*b^3*c^4*d^6 + 120*a^3*b^2*c^3*d^7) + x^7*((10*b^5*c^9*d)/7 + 30*a^5*c^4*d^6 + (225*a*b^4*c^8*d^2)/7 + 180*a^4*b*c^5*d^5 + (1200*a^2*b^3*c^7*d^3)/7 + 300*a^3*b^2*c^6*d^4) + x^6*((b^5*c^10)/6 + 42*a^5*c^5*d^5 + 175*a^4*b*c^6*d^4 + 75*a^2*b^3*c^8*d^2 + 200*a^3*b^2*c^7*d^3 + (25*a*b^4*c^9*d)/3) + x^11*((a^5*d^10)/11 + (252*b^5*c^5*d^5)/11 + (1050*a*b^4*c^4*d^6)/11 + (1200*a^2*b^3*c^3*d^7)/11 + (450*a^3*b^2*c^2*d^8)/11 + (50*a^4*b*c*d^9)/11) + x^8*(15*a^5*c^3*d^7 + (45*b^5*c^8*d^2)/8 + 75*a*b^4*c^7*d^3 + (525*a^4*b*c^4*d^6)/4 + (525*a^2*b^3*c^6*d^4)/2 + 315*a^3*b^2*c^5*d^5) + x^9*(5*a^5*c^2*d^8 + (40*b^5*c^7*d^3)/3 + (350*a*b^4*c^6*d^4)/3 + (200*a^4*b*c^3*d^7)/3 + 280*a^2*b^3*c^5*d^5 + (700*a^3*b^2*c^4*d^6)/3) + x^5*(a*b^4*c^10 + 42*a^5*c^6*d^4 + 20*a^2*b^3*c^9*d + 120*a^4*b*c^7*d^3 + 90*a^3*b^2*c^8*d^2) + x^12*((5*a^4*b*d^10)/12 + (35*b^5*c^4*d^6)/2 + 50*a*b^4*c^3*d^7 + (25*a^3*b^2*c*d^9)/3 + (75*a^2*b^3*c^2*d^8)/2) + a^5*c^10*x + (b^5*d^10*x^16)/16 + (5*a^2*c^7*x^4*(24*a^3*d^3 + 2*b^3*c^3 + 20*a*b^2*c^2*d + 45*a^2*b*c*d^2))/4 + (5*b^2*d^7*x^13*(2*a^3*d^3 + 24*b^3*c^3 + 45*a*b^2*c^2*d + 20*a^2*b*c*d^2))/13 + (5*a^4*c^9*x^2*(2*a*d + b*c))/2 + (b^4*d^9*x^15*(a*d + 2*b*c))/3 + (5*a^3*c^8*x^3*(9*a^2*d^2 + 2*b^2*c^2 + 10*a*b*c*d))/3 + (5*b^3*d^8*x^14*(2*a^2*d^2 + 9*b^2*c^2 + 10*a*b*c*d))/14","B"
1307,1,664,119,0.425694,"\text{Not used}","int((a + b*x)^4*(c + d*x)^10,x)","x^5\,\left(42\,a^4\,c^6\,d^4+96\,a^3\,b\,c^7\,d^3+54\,a^2\,b^2\,c^8\,d^2+8\,a\,b^3\,c^9\,d+\frac{b^4\,c^{10}}{5}\right)+x^{11}\,\left(\frac{a^4\,d^{10}}{11}+\frac{40\,a^3\,b\,c\,d^9}{11}+\frac{270\,a^2\,b^2\,c^2\,d^8}{11}+\frac{480\,a\,b^3\,c^3\,d^7}{11}+\frac{210\,b^4\,c^4\,d^6}{11}\right)+x^8\,\left(15\,a^4\,c^3\,d^7+105\,a^3\,b\,c^4\,d^6+189\,a^2\,b^2\,c^5\,d^5+105\,a\,b^3\,c^6\,d^4+15\,b^4\,c^7\,d^3\right)+x^9\,\left(5\,a^4\,c^2\,d^8+\frac{160\,a^3\,b\,c^3\,d^7}{3}+140\,a^2\,b^2\,c^4\,d^6+112\,a\,b^3\,c^5\,d^5+\frac{70\,b^4\,c^6\,d^4}{3}\right)+x^7\,\left(30\,a^4\,c^4\,d^6+144\,a^3\,b\,c^5\,d^5+180\,a^2\,b^2\,c^6\,d^4+\frac{480\,a\,b^3\,c^7\,d^3}{7}+\frac{45\,b^4\,c^8\,d^2}{7}\right)+x^4\,\left(30\,a^4\,c^7\,d^3+45\,a^3\,b\,c^8\,d^2+15\,a^2\,b^2\,c^9\,d+a\,b^3\,c^{10}\right)+x^{12}\,\left(\frac{a^3\,b\,d^{10}}{3}+5\,a^2\,b^2\,c\,d^9+15\,a\,b^3\,c^2\,d^8+10\,b^4\,c^3\,d^7\right)+x^{10}\,\left(a^4\,c\,d^9+18\,a^3\,b\,c^2\,d^8+72\,a^2\,b^2\,c^3\,d^7+84\,a\,b^3\,c^4\,d^6+\frac{126\,b^4\,c^5\,d^5}{5}\right)+x^6\,\left(42\,a^4\,c^5\,d^5+140\,a^3\,b\,c^6\,d^4+120\,a^2\,b^2\,c^7\,d^3+30\,a\,b^3\,c^8\,d^2+\frac{5\,b^4\,c^9\,d}{3}\right)+a^4\,c^{10}\,x+\frac{b^4\,d^{10}\,x^{15}}{15}+a^3\,c^9\,x^2\,\left(5\,a\,d+2\,b\,c\right)+\frac{b^3\,d^9\,x^{14}\,\left(2\,a\,d+5\,b\,c\right)}{7}+\frac{a^2\,c^8\,x^3\,\left(45\,a^2\,d^2+40\,a\,b\,c\,d+6\,b^2\,c^2\right)}{3}+\frac{b^2\,d^8\,x^{13}\,\left(6\,a^2\,d^2+40\,a\,b\,c\,d+45\,b^2\,c^2\right)}{13}","Not used",1,"x^5*((b^4*c^10)/5 + 42*a^4*c^6*d^4 + 96*a^3*b*c^7*d^3 + 54*a^2*b^2*c^8*d^2 + 8*a*b^3*c^9*d) + x^11*((a^4*d^10)/11 + (210*b^4*c^4*d^6)/11 + (480*a*b^3*c^3*d^7)/11 + (270*a^2*b^2*c^2*d^8)/11 + (40*a^3*b*c*d^9)/11) + x^8*(15*a^4*c^3*d^7 + 15*b^4*c^7*d^3 + 105*a*b^3*c^6*d^4 + 105*a^3*b*c^4*d^6 + 189*a^2*b^2*c^5*d^5) + x^9*(5*a^4*c^2*d^8 + (70*b^4*c^6*d^4)/3 + 112*a*b^3*c^5*d^5 + (160*a^3*b*c^3*d^7)/3 + 140*a^2*b^2*c^4*d^6) + x^7*(30*a^4*c^4*d^6 + (45*b^4*c^8*d^2)/7 + (480*a*b^3*c^7*d^3)/7 + 144*a^3*b*c^5*d^5 + 180*a^2*b^2*c^6*d^4) + x^4*(a*b^3*c^10 + 30*a^4*c^7*d^3 + 15*a^2*b^2*c^9*d + 45*a^3*b*c^8*d^2) + x^12*((a^3*b*d^10)/3 + 10*b^4*c^3*d^7 + 15*a*b^3*c^2*d^8 + 5*a^2*b^2*c*d^9) + x^10*(a^4*c*d^9 + (126*b^4*c^5*d^5)/5 + 84*a*b^3*c^4*d^6 + 18*a^3*b*c^2*d^8 + 72*a^2*b^2*c^3*d^7) + x^6*((5*b^4*c^9*d)/3 + 42*a^4*c^5*d^5 + 30*a*b^3*c^8*d^2 + 140*a^3*b*c^6*d^4 + 120*a^2*b^2*c^7*d^3) + a^4*c^10*x + (b^4*d^10*x^15)/15 + a^3*c^9*x^2*(5*a*d + 2*b*c) + (b^3*d^9*x^14*(2*a*d + 5*b*c))/7 + (a^2*c^8*x^3*(45*a^2*d^2 + 6*b^2*c^2 + 40*a*b*c*d))/3 + (b^2*d^8*x^13*(6*a^2*d^2 + 45*b^2*c^2 + 40*a*b*c*d))/13","B"
1308,1,495,92,0.230550,"\text{Not used}","int((a + b*x)^3*(c + d*x)^10,x)","x^4\,\left(30\,a^3\,c^7\,d^3+\frac{135\,a^2\,b\,c^8\,d^2}{4}+\frac{15\,a\,b^2\,c^9\,d}{2}+\frac{b^3\,c^{10}}{4}\right)+x^{11}\,\left(\frac{a^3\,d^{10}}{11}+\frac{30\,a^2\,b\,c\,d^9}{11}+\frac{135\,a\,b^2\,c^2\,d^8}{11}+\frac{120\,b^3\,c^3\,d^7}{11}\right)+a^3\,c^{10}\,x+\frac{b^3\,d^{10}\,x^{14}}{14}+\frac{3\,c^5\,d^2\,x^6\,\left(28\,a^3\,d^3+70\,a^2\,b\,c\,d^2+40\,a\,b^2\,c^2\,d+5\,b^3\,c^3\right)}{2}+c^2\,d^5\,x^9\,\left(5\,a^3\,d^3+40\,a^2\,b\,c\,d^2+70\,a\,b^2\,c^2\,d+28\,b^3\,c^3\right)+\frac{6\,c^4\,d^3\,x^7\,\left(35\,a^3\,d^3+126\,a^2\,b\,c\,d^2+105\,a\,b^2\,c^2\,d+20\,b^3\,c^3\right)}{7}+\frac{3\,c^3\,d^4\,x^8\,\left(20\,a^3\,d^3+105\,a^2\,b\,c\,d^2+126\,a\,b^2\,c^2\,d+35\,b^3\,c^3\right)}{4}+\frac{a^2\,c^9\,x^2\,\left(10\,a\,d+3\,b\,c\right)}{2}+\frac{b^2\,d^9\,x^{13}\,\left(3\,a\,d+10\,b\,c\right)}{13}+a\,c^8\,x^3\,\left(15\,a^2\,d^2+10\,a\,b\,c\,d+b^2\,c^2\right)+\frac{b\,d^8\,x^{12}\,\left(a^2\,d^2+10\,a\,b\,c\,d+15\,b^2\,c^2\right)}{4}+c^6\,d\,x^5\,\left(42\,a^3\,d^3+72\,a^2\,b\,c\,d^2+27\,a\,b^2\,c^2\,d+2\,b^3\,c^3\right)+\frac{c\,d^6\,x^{10}\,\left(2\,a^3\,d^3+27\,a^2\,b\,c\,d^2+72\,a\,b^2\,c^2\,d+42\,b^3\,c^3\right)}{2}","Not used",1,"x^4*((b^3*c^10)/4 + 30*a^3*c^7*d^3 + (135*a^2*b*c^8*d^2)/4 + (15*a*b^2*c^9*d)/2) + x^11*((a^3*d^10)/11 + (120*b^3*c^3*d^7)/11 + (135*a*b^2*c^2*d^8)/11 + (30*a^2*b*c*d^9)/11) + a^3*c^10*x + (b^3*d^10*x^14)/14 + (3*c^5*d^2*x^6*(28*a^3*d^3 + 5*b^3*c^3 + 40*a*b^2*c^2*d + 70*a^2*b*c*d^2))/2 + c^2*d^5*x^9*(5*a^3*d^3 + 28*b^3*c^3 + 70*a*b^2*c^2*d + 40*a^2*b*c*d^2) + (6*c^4*d^3*x^7*(35*a^3*d^3 + 20*b^3*c^3 + 105*a*b^2*c^2*d + 126*a^2*b*c*d^2))/7 + (3*c^3*d^4*x^8*(20*a^3*d^3 + 35*b^3*c^3 + 126*a*b^2*c^2*d + 105*a^2*b*c*d^2))/4 + (a^2*c^9*x^2*(10*a*d + 3*b*c))/2 + (b^2*d^9*x^13*(3*a*d + 10*b*c))/13 + a*c^8*x^3*(15*a^2*d^2 + b^2*c^2 + 10*a*b*c*d) + (b*d^8*x^12*(a^2*d^2 + 15*b^2*c^2 + 10*a*b*c*d))/4 + c^6*d*x^5*(42*a^3*d^3 + 2*b^3*c^3 + 27*a*b^2*c^2*d + 72*a^2*b*c*d^2) + (c*d^6*x^10*(2*a^3*d^3 + 42*b^3*c^3 + 72*a*b^2*c^2*d + 27*a^2*b*c*d^2))/2","B"
1309,1,348,65,0.320173,"\text{Not used}","int((a + b*x)^2*(c + d*x)^10,x)","x^3\,\left(15\,a^2\,c^8\,d^2+\frac{20\,a\,b\,c^9\,d}{3}+\frac{b^2\,c^{10}}{3}\right)+x^{11}\,\left(\frac{a^2\,d^{10}}{11}+\frac{20\,a\,b\,c\,d^9}{11}+\frac{45\,b^2\,c^2\,d^8}{11}\right)+a^2\,c^{10}\,x+\frac{b^2\,d^{10}\,x^{13}}{13}+a\,c^9\,x^2\,\left(5\,a\,d+b\,c\right)+\frac{b\,d^9\,x^{12}\,\left(a\,d+5\,b\,c\right)}{6}+\frac{5\,c^7\,d\,x^4\,\left(12\,a^2\,d^2+9\,a\,b\,c\,d+b^2\,c^2\right)}{2}+c\,d^7\,x^{10}\,\left(a^2\,d^2+9\,a\,b\,c\,d+12\,b^2\,c^2\right)+6\,c^4\,d^4\,x^7\,\left(5\,a^2\,d^2+12\,a\,b\,c\,d+5\,b^2\,c^2\right)+3\,c^6\,d^2\,x^5\,\left(14\,a^2\,d^2+16\,a\,b\,c\,d+3\,b^2\,c^2\right)+\frac{5\,c^2\,d^6\,x^9\,\left(3\,a^2\,d^2+16\,a\,b\,c\,d+14\,b^2\,c^2\right)}{3}+2\,c^5\,d^3\,x^6\,\left(21\,a^2\,d^2+35\,a\,b\,c\,d+10\,b^2\,c^2\right)+\frac{3\,c^3\,d^5\,x^8\,\left(10\,a^2\,d^2+35\,a\,b\,c\,d+21\,b^2\,c^2\right)}{2}","Not used",1,"x^3*((b^2*c^10)/3 + 15*a^2*c^8*d^2 + (20*a*b*c^9*d)/3) + x^11*((a^2*d^10)/11 + (45*b^2*c^2*d^8)/11 + (20*a*b*c*d^9)/11) + a^2*c^10*x + (b^2*d^10*x^13)/13 + a*c^9*x^2*(5*a*d + b*c) + (b*d^9*x^12*(a*d + 5*b*c))/6 + (5*c^7*d*x^4*(12*a^2*d^2 + b^2*c^2 + 9*a*b*c*d))/2 + c*d^7*x^10*(a^2*d^2 + 12*b^2*c^2 + 9*a*b*c*d) + 6*c^4*d^4*x^7*(5*a^2*d^2 + 5*b^2*c^2 + 12*a*b*c*d) + 3*c^6*d^2*x^5*(14*a^2*d^2 + 3*b^2*c^2 + 16*a*b*c*d) + (5*c^2*d^6*x^9*(3*a^2*d^2 + 14*b^2*c^2 + 16*a*b*c*d))/3 + 2*c^5*d^3*x^6*(21*a^2*d^2 + 10*b^2*c^2 + 35*a*b*c*d) + (3*c^3*d^5*x^8*(10*a^2*d^2 + 21*b^2*c^2 + 35*a*b*c*d))/2","B"
1310,1,208,38,0.129062,"\text{Not used}","int((a + b*x)*(c + d*x)^10,x)","x^2\,\left(\frac{b\,c^{10}}{2}+5\,a\,d\,c^9\right)+x^{11}\,\left(\frac{a\,d^{10}}{11}+\frac{10\,b\,c\,d^9}{11}\right)+\frac{b\,d^{10}\,x^{12}}{12}+a\,c^{10}\,x+\frac{5\,c^8\,d\,x^3\,\left(9\,a\,d+2\,b\,c\right)}{3}+\frac{c\,d^8\,x^{10}\,\left(2\,a\,d+9\,b\,c\right)}{2}+\frac{15\,c^7\,d^2\,x^4\,\left(8\,a\,d+3\,b\,c\right)}{4}+6\,c^6\,d^3\,x^5\,\left(7\,a\,d+4\,b\,c\right)+7\,c^5\,d^4\,x^6\,\left(6\,a\,d+5\,b\,c\right)+6\,c^4\,d^5\,x^7\,\left(5\,a\,d+6\,b\,c\right)+\frac{15\,c^3\,d^6\,x^8\,\left(4\,a\,d+7\,b\,c\right)}{4}+\frac{5\,c^2\,d^7\,x^9\,\left(3\,a\,d+8\,b\,c\right)}{3}","Not used",1,"x^2*((b*c^10)/2 + 5*a*c^9*d) + x^11*((a*d^10)/11 + (10*b*c*d^9)/11) + (b*d^10*x^12)/12 + a*c^10*x + (5*c^8*d*x^3*(9*a*d + 2*b*c))/3 + (c*d^8*x^10*(2*a*d + 9*b*c))/2 + (15*c^7*d^2*x^4*(8*a*d + 3*b*c))/4 + 6*c^6*d^3*x^5*(7*a*d + 4*b*c) + 7*c^5*d^4*x^6*(6*a*d + 5*b*c) + 6*c^4*d^5*x^7*(5*a*d + 6*b*c) + (15*c^3*d^6*x^8*(4*a*d + 7*b*c))/4 + (5*c^2*d^7*x^9*(3*a*d + 8*b*c))/3","B"
1311,1,108,14,0.079985,"\text{Not used}","int((c + d*x)^10,x)","c^{10}\,x+5\,c^9\,d\,x^2+15\,c^8\,d^2\,x^3+30\,c^7\,d^3\,x^4+42\,c^6\,d^4\,x^5+42\,c^5\,d^5\,x^6+30\,c^4\,d^6\,x^7+15\,c^3\,d^7\,x^8+5\,c^2\,d^8\,x^9+c\,d^9\,x^{10}+\frac{d^{10}\,x^{11}}{11}","Not used",1,"c^10*x + (d^10*x^11)/11 + 5*c^9*d*x^2 + c*d^9*x^10 + 15*c^8*d^2*x^3 + 30*c^7*d^3*x^4 + 42*c^6*d^4*x^5 + 42*c^5*d^5*x^6 + 30*c^4*d^6*x^7 + 15*c^3*d^7*x^8 + 5*c^2*d^8*x^9","B"
1312,1,979,241,0.130266,"\text{Not used}","int((c + d*x)^10/(a + b*x),x)","x^7\,\left(\frac{120\,c^3\,d^7}{7\,b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^{10}}{b^2}-\frac{10\,c\,d^9}{b}\right)}{b}+\frac{45\,c^2\,d^8}{b}\right)}{7\,b}\right)-x^9\,\left(\frac{a\,d^{10}}{9\,b^2}-\frac{10\,c\,d^9}{9\,b}\right)+x^5\,\left(\frac{a\,\left(\frac{a\,\left(\frac{120\,c^3\,d^7}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^{10}}{b^2}-\frac{10\,c\,d^9}{b}\right)}{b}+\frac{45\,c^2\,d^8}{b}\right)}{b}\right)}{b}-\frac{210\,c^4\,d^6}{b}\right)}{5\,b}+\frac{252\,c^5\,d^5}{5\,b}\right)+x^3\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{120\,c^3\,d^7}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^{10}}{b^2}-\frac{10\,c\,d^9}{b}\right)}{b}+\frac{45\,c^2\,d^8}{b}\right)}{b}\right)}{b}-\frac{210\,c^4\,d^6}{b}\right)}{b}+\frac{252\,c^5\,d^5}{b}\right)}{b}-\frac{210\,c^6\,d^4}{b}\right)}{3\,b}+\frac{40\,c^7\,d^3}{b}\right)+x\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{120\,c^3\,d^7}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^{10}}{b^2}-\frac{10\,c\,d^9}{b}\right)}{b}+\frac{45\,c^2\,d^8}{b}\right)}{b}\right)}{b}-\frac{210\,c^4\,d^6}{b}\right)}{b}+\frac{252\,c^5\,d^5}{b}\right)}{b}-\frac{210\,c^6\,d^4}{b}\right)}{b}+\frac{120\,c^7\,d^3}{b}\right)}{b}-\frac{45\,c^8\,d^2}{b}\right)}{b}+\frac{10\,c^9\,d}{b}\right)+x^8\,\left(\frac{a\,\left(\frac{a\,d^{10}}{b^2}-\frac{10\,c\,d^9}{b}\right)}{8\,b}+\frac{45\,c^2\,d^8}{8\,b}\right)-x^6\,\left(\frac{a\,\left(\frac{120\,c^3\,d^7}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^{10}}{b^2}-\frac{10\,c\,d^9}{b}\right)}{b}+\frac{45\,c^2\,d^8}{b}\right)}{b}\right)}{6\,b}-\frac{35\,c^4\,d^6}{b}\right)-x^4\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{120\,c^3\,d^7}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^{10}}{b^2}-\frac{10\,c\,d^9}{b}\right)}{b}+\frac{45\,c^2\,d^8}{b}\right)}{b}\right)}{b}-\frac{210\,c^4\,d^6}{b}\right)}{b}+\frac{252\,c^5\,d^5}{b}\right)}{4\,b}-\frac{105\,c^6\,d^4}{2\,b}\right)-x^2\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{a\,\left(\frac{120\,c^3\,d^7}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,d^{10}}{b^2}-\frac{10\,c\,d^9}{b}\right)}{b}+\frac{45\,c^2\,d^8}{b}\right)}{b}\right)}{b}-\frac{210\,c^4\,d^6}{b}\right)}{b}+\frac{252\,c^5\,d^5}{b}\right)}{b}-\frac{210\,c^6\,d^4}{b}\right)}{b}+\frac{120\,c^7\,d^3}{b}\right)}{2\,b}-\frac{45\,c^8\,d^2}{2\,b}\right)+\frac{d^{10}\,x^{10}}{10\,b}+\frac{\ln\left(a+b\,x\right)\,\left(a^{10}\,d^{10}-10\,a^9\,b\,c\,d^9+45\,a^8\,b^2\,c^2\,d^8-120\,a^7\,b^3\,c^3\,d^7+210\,a^6\,b^4\,c^4\,d^6-252\,a^5\,b^5\,c^5\,d^5+210\,a^4\,b^6\,c^6\,d^4-120\,a^3\,b^7\,c^7\,d^3+45\,a^2\,b^8\,c^8\,d^2-10\,a\,b^9\,c^9\,d+b^{10}\,c^{10}\right)}{b^{11}}","Not used",1,"x^7*((120*c^3*d^7)/(7*b) - (a*((a*((a*d^10)/b^2 - (10*c*d^9)/b))/b + (45*c^2*d^8)/b))/(7*b)) - x^9*((a*d^10)/(9*b^2) - (10*c*d^9)/(9*b)) + x^5*((a*((a*((120*c^3*d^7)/b - (a*((a*((a*d^10)/b^2 - (10*c*d^9)/b))/b + (45*c^2*d^8)/b))/b))/b - (210*c^4*d^6)/b))/(5*b) + (252*c^5*d^5)/(5*b)) + x^3*((a*((a*((a*((a*((120*c^3*d^7)/b - (a*((a*((a*d^10)/b^2 - (10*c*d^9)/b))/b + (45*c^2*d^8)/b))/b))/b - (210*c^4*d^6)/b))/b + (252*c^5*d^5)/b))/b - (210*c^6*d^4)/b))/(3*b) + (40*c^7*d^3)/b) + x*((a*((a*((a*((a*((a*((a*((120*c^3*d^7)/b - (a*((a*((a*d^10)/b^2 - (10*c*d^9)/b))/b + (45*c^2*d^8)/b))/b))/b - (210*c^4*d^6)/b))/b + (252*c^5*d^5)/b))/b - (210*c^6*d^4)/b))/b + (120*c^7*d^3)/b))/b - (45*c^8*d^2)/b))/b + (10*c^9*d)/b) + x^8*((a*((a*d^10)/b^2 - (10*c*d^9)/b))/(8*b) + (45*c^2*d^8)/(8*b)) - x^6*((a*((120*c^3*d^7)/b - (a*((a*((a*d^10)/b^2 - (10*c*d^9)/b))/b + (45*c^2*d^8)/b))/b))/(6*b) - (35*c^4*d^6)/b) - x^4*((a*((a*((a*((120*c^3*d^7)/b - (a*((a*((a*d^10)/b^2 - (10*c*d^9)/b))/b + (45*c^2*d^8)/b))/b))/b - (210*c^4*d^6)/b))/b + (252*c^5*d^5)/b))/(4*b) - (105*c^6*d^4)/(2*b)) - x^2*((a*((a*((a*((a*((a*((120*c^3*d^7)/b - (a*((a*((a*d^10)/b^2 - (10*c*d^9)/b))/b + (45*c^2*d^8)/b))/b))/b - (210*c^4*d^6)/b))/b + (252*c^5*d^5)/b))/b - (210*c^6*d^4)/b))/b + (120*c^7*d^3)/b))/(2*b) - (45*c^8*d^2)/(2*b)) + (d^10*x^10)/(10*b) + (log(a + b*x)*(a^10*d^10 + b^10*c^10 + 45*a^2*b^8*c^8*d^2 - 120*a^3*b^7*c^7*d^3 + 210*a^4*b^6*c^6*d^4 - 252*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 - 120*a^7*b^3*c^3*d^7 + 45*a^8*b^2*c^2*d^8 - 10*a*b^9*c^9*d - 10*a^9*b*c*d^9))/b^11","B"
1313,1,3475,258,0.352185,"\text{Not used}","int((c + d*x)^10/(a + b*x)^2,x)","x^7\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{7\,b}-\frac{a^2\,d^{10}}{7\,b^4}+\frac{45\,c^2\,d^8}{7\,b^2}\right)-x^5\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{5\,b}-\frac{42\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{5\,b^2}\right)-x^8\,\left(\frac{a\,d^{10}}{4\,b^3}-\frac{5\,c\,d^9}{4\,b^2}\right)+x^3\,\left(\frac{70\,c^6\,d^4}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{b}-\frac{a^2\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b^2}+\frac{252\,c^5\,d^5}{b^2}\right)}{3\,b}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{3\,b^2}\right)-x^2\,\left(\frac{a\,\left(\frac{210\,c^6\,d^4}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{b}-\frac{a^2\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b^2}+\frac{252\,c^5\,d^5}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{b^2}\right)}{b}-\frac{60\,c^7\,d^3}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{b}-\frac{a^2\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b^2}+\frac{252\,c^5\,d^5}{b^2}\right)}{2\,b^2}\right)+x^6\,\left(\frac{20\,c^3\,d^7}{b^2}-\frac{a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{3\,b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{6\,b^2}\right)+x\,\left(\frac{45\,c^8\,d^2}{b^2}-\frac{a^2\,\left(\frac{210\,c^6\,d^4}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{b}-\frac{a^2\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b^2}+\frac{252\,c^5\,d^5}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{b^2}\right)}{b^2}+\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{210\,c^6\,d^4}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{b}-\frac{a^2\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b^2}+\frac{252\,c^5\,d^5}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{b^2}\right)}{b}-\frac{120\,c^7\,d^3}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{b}-\frac{a^2\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b^2}+\frac{252\,c^5\,d^5}{b^2}\right)}{b^2}\right)}{b}\right)+x^4\,\left(\frac{a\,\left(\frac{2\,a\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{b}-\frac{210\,c^4\,d^6}{b^2}+\frac{a^2\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b^2}\right)}{2\,b}-\frac{a^2\,\left(\frac{120\,c^3\,d^7}{b^2}-\frac{2\,a\,\left(\frac{2\,a\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b}-\frac{a^2\,d^{10}}{b^4}+\frac{45\,c^2\,d^8}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{2\,a\,d^{10}}{b^3}-\frac{10\,c\,d^9}{b^2}\right)}{b^2}\right)}{4\,b^2}+\frac{63\,c^5\,d^5}{b^2}\right)-\frac{\ln\left(a+b\,x\right)\,\left(10\,a^9\,d^{10}-90\,a^8\,b\,c\,d^9+360\,a^7\,b^2\,c^2\,d^8-840\,a^6\,b^3\,c^3\,d^7+1260\,a^5\,b^4\,c^4\,d^6-1260\,a^4\,b^5\,c^5\,d^5+840\,a^3\,b^6\,c^6\,d^4-360\,a^2\,b^7\,c^7\,d^3+90\,a\,b^8\,c^8\,d^2-10\,b^9\,c^9\,d\right)}{b^{11}}-\frac{a^{10}\,d^{10}-10\,a^9\,b\,c\,d^9+45\,a^8\,b^2\,c^2\,d^8-120\,a^7\,b^3\,c^3\,d^7+210\,a^6\,b^4\,c^4\,d^6-252\,a^5\,b^5\,c^5\,d^5+210\,a^4\,b^6\,c^6\,d^4-120\,a^3\,b^7\,c^7\,d^3+45\,a^2\,b^8\,c^8\,d^2-10\,a\,b^9\,c^9\,d+b^{10}\,c^{10}}{b\,\left(x\,b^{11}+a\,b^{10}\right)}+\frac{d^{10}\,x^9}{9\,b^2}","Not used",1,"x^7*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/(7*b) - (a^2*d^10)/(7*b^4) + (45*c^2*d^8)/(7*b^2)) - x^5*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/(5*b) - (42*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/(5*b^2)) - x^8*((a*d^10)/(4*b^3) - (5*c*d^9)/(4*b^2)) + x^3*((70*c^6*d^4)/b^2 - (2*a*((2*a*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/b - (a^2*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b^2 + (252*c^5*d^5)/b^2))/(3*b) + (a^2*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/(3*b^2)) - x^2*((a*((210*c^6*d^4)/b^2 - (2*a*((2*a*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/b - (a^2*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b^2 + (252*c^5*d^5)/b^2))/b + (a^2*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/b^2))/b - (60*c^7*d^3)/b^2 + (a^2*((2*a*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/b - (a^2*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b^2 + (252*c^5*d^5)/b^2))/(2*b^2)) + x^6*((20*c^3*d^7)/b^2 - (a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/(3*b) + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/(6*b^2)) + x*((45*c^8*d^2)/b^2 - (a^2*((210*c^6*d^4)/b^2 - (2*a*((2*a*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/b - (a^2*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b^2 + (252*c^5*d^5)/b^2))/b + (a^2*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/b^2))/b^2 + (2*a*((2*a*((210*c^6*d^4)/b^2 - (2*a*((2*a*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/b - (a^2*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b^2 + (252*c^5*d^5)/b^2))/b + (a^2*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/b^2))/b - (120*c^7*d^3)/b^2 + (a^2*((2*a*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/b - (a^2*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b^2 + (252*c^5*d^5)/b^2))/b^2))/b) + x^4*((a*((2*a*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/b - (210*c^4*d^6)/b^2 + (a^2*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b^2))/(2*b) - (a^2*((120*c^3*d^7)/b^2 - (2*a*((2*a*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b - (a^2*d^10)/b^4 + (45*c^2*d^8)/b^2))/b + (a^2*((2*a*d^10)/b^3 - (10*c*d^9)/b^2))/b^2))/(4*b^2) + (63*c^5*d^5)/b^2) - (log(a + b*x)*(10*a^9*d^10 - 10*b^9*c^9*d + 90*a*b^8*c^8*d^2 - 360*a^2*b^7*c^7*d^3 + 840*a^3*b^6*c^6*d^4 - 1260*a^4*b^5*c^5*d^5 + 1260*a^5*b^4*c^4*d^6 - 840*a^6*b^3*c^3*d^7 + 360*a^7*b^2*c^2*d^8 - 90*a^8*b*c*d^9))/b^11 - (a^10*d^10 + b^10*c^10 + 45*a^2*b^8*c^8*d^2 - 120*a^3*b^7*c^7*d^3 + 210*a^4*b^6*c^6*d^4 - 252*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 - 120*a^7*b^3*c^3*d^7 + 45*a^8*b^2*c^2*d^8 - 10*a*b^9*c^9*d - 10*a^9*b*c*d^9)/(b*(a*b^10 + b^11*x)) + (d^10*x^9)/(9*b^2)","B"
1314,1,3299,262,0.377761,"\text{Not used}","int((c + d*x)^10/(a + b*x)^3,x)","x^3\,\left(\frac{84\,c^5\,d^5}{b^3}-\frac{a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b}+\frac{210\,c^4\,d^6}{b^3}+\frac{a^3\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^2}\right)}{b}+\frac{a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b^2}-\frac{a^3\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{3\,b^3}\right)-x^7\,\left(\frac{3\,a\,d^{10}}{7\,b^4}-\frac{10\,c\,d^9}{7\,b^3}\right)-\frac{\frac{-19\,a^{10}\,d^{10}+170\,a^9\,b\,c\,d^9-675\,a^8\,b^2\,c^2\,d^8+1560\,a^7\,b^3\,c^3\,d^7-2310\,a^6\,b^4\,c^4\,d^6+2268\,a^5\,b^5\,c^5\,d^5-1470\,a^4\,b^6\,c^6\,d^4+600\,a^3\,b^7\,c^7\,d^3-135\,a^2\,b^8\,c^8\,d^2+10\,a\,b^9\,c^9\,d+b^{10}\,c^{10}}{2\,b}-x\,\left(10\,a^9\,d^{10}-90\,a^8\,b\,c\,d^9+360\,a^7\,b^2\,c^2\,d^8-840\,a^6\,b^3\,c^3\,d^7+1260\,a^5\,b^4\,c^4\,d^6-1260\,a^4\,b^5\,c^5\,d^5+840\,a^3\,b^6\,c^6\,d^4-360\,a^2\,b^7\,c^7\,d^3+90\,a\,b^8\,c^8\,d^2-10\,b^9\,c^9\,d\right)}{a^2\,b^{10}+2\,a\,b^{11}\,x+b^{12}\,x^2}-x^5\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{5\,b}+\frac{a^3\,d^{10}}{5\,b^6}-\frac{24\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{5\,b^2}\right)+x^6\,\left(\frac{a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{2\,b}-\frac{a^2\,d^{10}}{2\,b^5}+\frac{15\,c^2\,d^8}{2\,b^3}\right)+x^4\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{4\,b}+\frac{105\,c^4\,d^6}{2\,b^3}+\frac{a^3\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{4\,b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{4\,b^2}\right)-x^2\,\left(\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b}+\frac{210\,c^4\,d^6}{b^3}+\frac{a^3\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^2}\right)}{2\,b^2}+\frac{3\,a\,\left(\frac{252\,c^5\,d^5}{b^3}-\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b}+\frac{210\,c^4\,d^6}{b^3}+\frac{a^3\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^2}\right)}{b}+\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b^2}-\frac{a^3\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^3}\right)}{2\,b}-\frac{105\,c^6\,d^4}{b^3}-\frac{a^3\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{2\,b^3}\right)+x\,\left(\frac{3\,a\,\left(\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b}+\frac{210\,c^4\,d^6}{b^3}+\frac{a^3\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^2}\right)}{b^2}+\frac{3\,a\,\left(\frac{252\,c^5\,d^5}{b^3}-\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b}+\frac{210\,c^4\,d^6}{b^3}+\frac{a^3\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^2}\right)}{b}+\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b^2}-\frac{a^3\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^3}\right)}{b}-\frac{210\,c^6\,d^4}{b^3}-\frac{a^3\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b^3}\right)}{b}-\frac{a^3\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b}+\frac{210\,c^4\,d^6}{b^3}+\frac{a^3\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^2}\right)}{b^3}+\frac{120\,c^7\,d^3}{b^3}-\frac{3\,a^2\,\left(\frac{252\,c^5\,d^5}{b^3}-\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b}+\frac{210\,c^4\,d^6}{b^3}+\frac{a^3\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^2}\right)}{b}+\frac{3\,a^2\,\left(\frac{3\,a\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b}+\frac{a^3\,d^{10}}{b^6}-\frac{120\,c^3\,d^7}{b^3}-\frac{3\,a^2\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b^2}\right)}{b^2}-\frac{a^3\,\left(\frac{3\,a\,\left(\frac{3\,a\,d^{10}}{b^4}-\frac{10\,c\,d^9}{b^3}\right)}{b}-\frac{3\,a^2\,d^{10}}{b^5}+\frac{45\,c^2\,d^8}{b^3}\right)}{b^3}\right)}{b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(45\,a^8\,d^{10}-360\,a^7\,b\,c\,d^9+1260\,a^6\,b^2\,c^2\,d^8-2520\,a^5\,b^3\,c^3\,d^7+3150\,a^4\,b^4\,c^4\,d^6-2520\,a^3\,b^5\,c^5\,d^5+1260\,a^2\,b^6\,c^6\,d^4-360\,a\,b^7\,c^7\,d^3+45\,b^8\,c^8\,d^2\right)}{b^{11}}+\frac{d^{10}\,x^8}{8\,b^3}","Not used",1,"x^3*((84*c^5*d^5)/b^3 - (a*((3*a*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b + (210*c^4*d^6)/b^3 + (a^3*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^3 - (3*a^2*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^2))/b + (a^2*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b^2 - (a^3*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/(3*b^3)) - x^7*((3*a*d^10)/(7*b^4) - (10*c*d^9)/(7*b^3)) - ((b^10*c^10 - 19*a^10*d^10 - 135*a^2*b^8*c^8*d^2 + 600*a^3*b^7*c^7*d^3 - 1470*a^4*b^6*c^6*d^4 + 2268*a^5*b^5*c^5*d^5 - 2310*a^6*b^4*c^4*d^6 + 1560*a^7*b^3*c^3*d^7 - 675*a^8*b^2*c^2*d^8 + 10*a*b^9*c^9*d + 170*a^9*b*c*d^9)/(2*b) - x*(10*a^9*d^10 - 10*b^9*c^9*d + 90*a*b^8*c^8*d^2 - 360*a^2*b^7*c^7*d^3 + 840*a^3*b^6*c^6*d^4 - 1260*a^4*b^5*c^5*d^5 + 1260*a^5*b^4*c^4*d^6 - 840*a^6*b^3*c^3*d^7 + 360*a^7*b^2*c^2*d^8 - 90*a^8*b*c*d^9))/(a^2*b^10 + b^12*x^2 + 2*a*b^11*x) - x^5*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/(5*b) + (a^3*d^10)/(5*b^6) - (24*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/(5*b^2)) + x^6*((a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/(2*b) - (a^2*d^10)/(2*b^5) + (15*c^2*d^8)/(2*b^3)) + x^4*((3*a*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/(4*b) + (105*c^4*d^6)/(2*b^3) + (a^3*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/(4*b^3) - (3*a^2*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/(4*b^2)) - x^2*((3*a^2*((3*a*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b + (210*c^4*d^6)/b^3 + (a^3*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^3 - (3*a^2*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^2))/(2*b^2) + (3*a*((252*c^5*d^5)/b^3 - (3*a*((3*a*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b + (210*c^4*d^6)/b^3 + (a^3*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^3 - (3*a^2*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^2))/b + (3*a^2*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b^2 - (a^3*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^3))/(2*b) - (105*c^6*d^4)/b^3 - (a^3*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/(2*b^3)) + x*((3*a*((3*a^2*((3*a*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b + (210*c^4*d^6)/b^3 + (a^3*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^3 - (3*a^2*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^2))/b^2 + (3*a*((252*c^5*d^5)/b^3 - (3*a*((3*a*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b + (210*c^4*d^6)/b^3 + (a^3*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^3 - (3*a^2*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^2))/b + (3*a^2*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b^2 - (a^3*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^3))/b - (210*c^6*d^4)/b^3 - (a^3*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b^3))/b - (a^3*((3*a*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b + (210*c^4*d^6)/b^3 + (a^3*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^3 - (3*a^2*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^2))/b^3 + (120*c^7*d^3)/b^3 - (3*a^2*((252*c^5*d^5)/b^3 - (3*a*((3*a*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b + (210*c^4*d^6)/b^3 + (a^3*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^3 - (3*a^2*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^2))/b + (3*a^2*((3*a*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b + (a^3*d^10)/b^6 - (120*c^3*d^7)/b^3 - (3*a^2*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b^2))/b^2 - (a^3*((3*a*((3*a*d^10)/b^4 - (10*c*d^9)/b^3))/b - (3*a^2*d^10)/b^5 + (45*c^2*d^8)/b^3))/b^3))/b^2) + (log(a + b*x)*(45*a^8*d^10 + 45*b^8*c^8*d^2 - 360*a*b^7*c^7*d^3 + 1260*a^2*b^6*c^6*d^4 - 2520*a^3*b^5*c^5*d^5 + 3150*a^4*b^4*c^4*d^6 - 2520*a^5*b^3*c^3*d^7 + 1260*a^6*b^2*c^2*d^8 - 360*a^7*b*c*d^9))/b^11 + (d^10*x^8)/(8*b^3)","B"
1315,1,2219,258,0.385365,"\text{Not used}","int((c + d*x)^10/(a + b*x)^4,x)","x^3\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b}+\frac{4\,a^3\,d^{10}}{b^7}-\frac{120\,c^3\,d^7}{b^4}-\frac{6\,a^2\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^2}\right)}{3\,b}-\frac{a^4\,d^{10}}{3\,b^8}+\frac{70\,c^4\,d^6}{b^4}+\frac{4\,a^3\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{3\,b^3}-\frac{2\,a^2\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b^2}\right)-x^6\,\left(\frac{2\,a\,d^{10}}{3\,b^5}-\frac{5\,c\,d^9}{3\,b^4}\right)-x^4\,\left(\frac{a\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b}+\frac{a^3\,d^{10}}{b^7}-\frac{30\,c^3\,d^7}{b^4}-\frac{3\,a^2\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{2\,b^2}\right)+x^5\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{5\,b}-\frac{6\,a^2\,d^{10}}{5\,b^6}+\frac{9\,c^2\,d^8}{b^4}\right)-x\,\left(\frac{4\,a\,\left(\frac{252\,c^5\,d^5}{b^4}-\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b}+\frac{4\,a^3\,d^{10}}{b^7}-\frac{120\,c^3\,d^7}{b^4}-\frac{6\,a^2\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^2}\right)}{b}-\frac{a^4\,d^{10}}{b^8}+\frac{210\,c^4\,d^6}{b^4}+\frac{4\,a^3\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^3}-\frac{6\,a^2\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b^2}\right)}{b}+\frac{a^4\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^4}+\frac{6\,a^2\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b}+\frac{4\,a^3\,d^{10}}{b^7}-\frac{120\,c^3\,d^7}{b^4}-\frac{6\,a^2\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^2}\right)}{b^2}-\frac{4\,a^3\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b^3}\right)}{b}-\frac{210\,c^6\,d^4}{b^4}+\frac{6\,a^2\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b}+\frac{4\,a^3\,d^{10}}{b^7}-\frac{120\,c^3\,d^7}{b^4}-\frac{6\,a^2\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^2}\right)}{b}-\frac{a^4\,d^{10}}{b^8}+\frac{210\,c^4\,d^6}{b^4}+\frac{4\,a^3\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^3}-\frac{6\,a^2\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b^2}\right)}{b^2}-\frac{4\,a^3\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b}+\frac{4\,a^3\,d^{10}}{b^7}-\frac{120\,c^3\,d^7}{b^4}-\frac{6\,a^2\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^2}\right)}{b^3}+\frac{a^4\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b^4}\right)+x^2\,\left(\frac{126\,c^5\,d^5}{b^4}-\frac{2\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b}+\frac{4\,a^3\,d^{10}}{b^7}-\frac{120\,c^3\,d^7}{b^4}-\frac{6\,a^2\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^2}\right)}{b}-\frac{a^4\,d^{10}}{b^8}+\frac{210\,c^4\,d^6}{b^4}+\frac{4\,a^3\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^3}-\frac{6\,a^2\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b^2}\right)}{b}+\frac{a^4\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{2\,b^4}+\frac{3\,a^2\,\left(\frac{4\,a\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b}+\frac{4\,a^3\,d^{10}}{b^7}-\frac{120\,c^3\,d^7}{b^4}-\frac{6\,a^2\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b^2}\right)}{b^2}-\frac{2\,a^3\,\left(\frac{4\,a\,\left(\frac{4\,a\,d^{10}}{b^5}-\frac{10\,c\,d^9}{b^4}\right)}{b}-\frac{6\,a^2\,d^{10}}{b^6}+\frac{45\,c^2\,d^8}{b^4}\right)}{b^3}\right)-\frac{\frac{121\,a^{10}\,d^{10}-955\,a^9\,b\,c\,d^9+3285\,a^8\,b^2\,c^2\,d^8-6420\,a^7\,b^3\,c^3\,d^7+7770\,a^6\,b^4\,c^4\,d^6-5922\,a^5\,b^5\,c^5\,d^5+2730\,a^4\,b^6\,c^6\,d^4-660\,a^3\,b^7\,c^7\,d^3+45\,a^2\,b^8\,c^8\,d^2+5\,a\,b^9\,c^9\,d+b^{10}\,c^{10}}{3\,b}+x\,\left(85\,a^9\,d^{10}-675\,a^8\,b\,c\,d^9+2340\,a^7\,b^2\,c^2\,d^8-4620\,a^6\,b^3\,c^3\,d^7+5670\,a^5\,b^4\,c^4\,d^6-4410\,a^4\,b^5\,c^5\,d^5+2100\,a^3\,b^6\,c^6\,d^4-540\,a^2\,b^7\,c^7\,d^3+45\,a\,b^8\,c^8\,d^2+5\,b^9\,c^9\,d\right)+x^2\,\left(45\,a^8\,b\,d^{10}-360\,a^7\,b^2\,c\,d^9+1260\,a^6\,b^3\,c^2\,d^8-2520\,a^5\,b^4\,c^3\,d^7+3150\,a^4\,b^5\,c^4\,d^6-2520\,a^3\,b^6\,c^5\,d^5+1260\,a^2\,b^7\,c^6\,d^4-360\,a\,b^8\,c^7\,d^3+45\,b^9\,c^8\,d^2\right)}{a^3\,b^{10}+3\,a^2\,b^{11}\,x+3\,a\,b^{12}\,x^2+b^{13}\,x^3}+\frac{d^{10}\,x^7}{7\,b^4}-\frac{\ln\left(a+b\,x\right)\,\left(120\,a^7\,d^{10}-840\,a^6\,b\,c\,d^9+2520\,a^5\,b^2\,c^2\,d^8-4200\,a^4\,b^3\,c^3\,d^7+4200\,a^3\,b^4\,c^4\,d^6-2520\,a^2\,b^5\,c^5\,d^5+840\,a\,b^6\,c^6\,d^4-120\,b^7\,c^7\,d^3\right)}{b^{11}}","Not used",1,"x^3*((4*a*((4*a*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b + (4*a^3*d^10)/b^7 - (120*c^3*d^7)/b^4 - (6*a^2*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^2))/(3*b) - (a^4*d^10)/(3*b^8) + (70*c^4*d^6)/b^4 + (4*a^3*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/(3*b^3) - (2*a^2*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b^2) - x^6*((2*a*d^10)/(3*b^5) - (5*c*d^9)/(3*b^4)) - x^4*((a*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b + (a^3*d^10)/b^7 - (30*c^3*d^7)/b^4 - (3*a^2*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/(2*b^2)) + x^5*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/(5*b) - (6*a^2*d^10)/(5*b^6) + (9*c^2*d^8)/b^4) - x*((4*a*((252*c^5*d^5)/b^4 - (4*a*((4*a*((4*a*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b + (4*a^3*d^10)/b^7 - (120*c^3*d^7)/b^4 - (6*a^2*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^2))/b - (a^4*d^10)/b^8 + (210*c^4*d^6)/b^4 + (4*a^3*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^3 - (6*a^2*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b^2))/b + (a^4*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^4 + (6*a^2*((4*a*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b + (4*a^3*d^10)/b^7 - (120*c^3*d^7)/b^4 - (6*a^2*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^2))/b^2 - (4*a^3*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b^3))/b - (210*c^6*d^4)/b^4 + (6*a^2*((4*a*((4*a*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b + (4*a^3*d^10)/b^7 - (120*c^3*d^7)/b^4 - (6*a^2*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^2))/b - (a^4*d^10)/b^8 + (210*c^4*d^6)/b^4 + (4*a^3*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^3 - (6*a^2*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b^2))/b^2 - (4*a^3*((4*a*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b + (4*a^3*d^10)/b^7 - (120*c^3*d^7)/b^4 - (6*a^2*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^2))/b^3 + (a^4*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b^4) + x^2*((126*c^5*d^5)/b^4 - (2*a*((4*a*((4*a*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b + (4*a^3*d^10)/b^7 - (120*c^3*d^7)/b^4 - (6*a^2*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^2))/b - (a^4*d^10)/b^8 + (210*c^4*d^6)/b^4 + (4*a^3*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^3 - (6*a^2*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b^2))/b + (a^4*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/(2*b^4) + (3*a^2*((4*a*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b + (4*a^3*d^10)/b^7 - (120*c^3*d^7)/b^4 - (6*a^2*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b^2))/b^2 - (2*a^3*((4*a*((4*a*d^10)/b^5 - (10*c*d^9)/b^4))/b - (6*a^2*d^10)/b^6 + (45*c^2*d^8)/b^4))/b^3) - ((121*a^10*d^10 + b^10*c^10 + 45*a^2*b^8*c^8*d^2 - 660*a^3*b^7*c^7*d^3 + 2730*a^4*b^6*c^6*d^4 - 5922*a^5*b^5*c^5*d^5 + 7770*a^6*b^4*c^4*d^6 - 6420*a^7*b^3*c^3*d^7 + 3285*a^8*b^2*c^2*d^8 + 5*a*b^9*c^9*d - 955*a^9*b*c*d^9)/(3*b) + x*(85*a^9*d^10 + 5*b^9*c^9*d + 45*a*b^8*c^8*d^2 - 540*a^2*b^7*c^7*d^3 + 2100*a^3*b^6*c^6*d^4 - 4410*a^4*b^5*c^5*d^5 + 5670*a^5*b^4*c^4*d^6 - 4620*a^6*b^3*c^3*d^7 + 2340*a^7*b^2*c^2*d^8 - 675*a^8*b*c*d^9) + x^2*(45*a^8*b*d^10 + 45*b^9*c^8*d^2 - 360*a*b^8*c^7*d^3 - 360*a^7*b^2*c*d^9 + 1260*a^2*b^7*c^6*d^4 - 2520*a^3*b^6*c^5*d^5 + 3150*a^4*b^5*c^4*d^6 - 2520*a^5*b^4*c^3*d^7 + 1260*a^6*b^3*c^2*d^8))/(a^3*b^10 + b^13*x^3 + 3*a^2*b^11*x + 3*a*b^12*x^2) + (d^10*x^7)/(7*b^4) - (log(a + b*x)*(120*a^7*d^10 - 120*b^7*c^7*d^3 + 840*a*b^6*c^6*d^4 - 2520*a^2*b^5*c^5*d^5 + 4200*a^3*b^4*c^4*d^6 - 4200*a^4*b^3*c^3*d^7 + 2520*a^5*b^2*c^2*d^8 - 840*a^6*b*c*d^9))/b^11","B"
1316,1,1494,262,0.381273,"\text{Not used}","int((c + d*x)^10/(a + b*x)^5,x)","x^2\,\left(\frac{5\,a\,\left(\frac{5\,a\,\left(\frac{5\,a\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b}-\frac{10\,a^2\,d^{10}}{b^7}+\frac{45\,c^2\,d^8}{b^5}\right)}{b}+\frac{10\,a^3\,d^{10}}{b^8}-\frac{120\,c^3\,d^7}{b^5}-\frac{10\,a^2\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b^2}\right)}{2\,b}-\frac{5\,a^4\,d^{10}}{2\,b^9}+\frac{105\,c^4\,d^6}{b^5}+\frac{5\,a^3\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b^3}-\frac{5\,a^2\,\left(\frac{5\,a\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b}-\frac{10\,a^2\,d^{10}}{b^7}+\frac{45\,c^2\,d^8}{b^5}\right)}{b^2}\right)-x^5\,\left(\frac{a\,d^{10}}{b^6}-\frac{2\,c\,d^9}{b^5}\right)-x^3\,\left(\frac{5\,a\,\left(\frac{5\,a\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b}-\frac{10\,a^2\,d^{10}}{b^7}+\frac{45\,c^2\,d^8}{b^5}\right)}{3\,b}+\frac{10\,a^3\,d^{10}}{3\,b^8}-\frac{40\,c^3\,d^7}{b^5}-\frac{10\,a^2\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{3\,b^2}\right)+x^4\,\left(\frac{5\,a\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{4\,b}-\frac{5\,a^2\,d^{10}}{2\,b^7}+\frac{45\,c^2\,d^8}{4\,b^5}\right)-x\,\left(\frac{5\,a\,\left(\frac{5\,a\,\left(\frac{5\,a\,\left(\frac{5\,a\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b}-\frac{10\,a^2\,d^{10}}{b^7}+\frac{45\,c^2\,d^8}{b^5}\right)}{b}+\frac{10\,a^3\,d^{10}}{b^8}-\frac{120\,c^3\,d^7}{b^5}-\frac{10\,a^2\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b^2}\right)}{b}-\frac{5\,a^4\,d^{10}}{b^9}+\frac{210\,c^4\,d^6}{b^5}+\frac{10\,a^3\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b^3}-\frac{10\,a^2\,\left(\frac{5\,a\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b}-\frac{10\,a^2\,d^{10}}{b^7}+\frac{45\,c^2\,d^8}{b^5}\right)}{b^2}\right)}{b}+\frac{a^5\,d^{10}}{b^{10}}-\frac{252\,c^5\,d^5}{b^5}-\frac{5\,a^4\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b^4}-\frac{10\,a^2\,\left(\frac{5\,a\,\left(\frac{5\,a\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b}-\frac{10\,a^2\,d^{10}}{b^7}+\frac{45\,c^2\,d^8}{b^5}\right)}{b}+\frac{10\,a^3\,d^{10}}{b^8}-\frac{120\,c^3\,d^7}{b^5}-\frac{10\,a^2\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b^2}\right)}{b^2}+\frac{10\,a^3\,\left(\frac{5\,a\,\left(\frac{5\,a\,d^{10}}{b^6}-\frac{10\,c\,d^9}{b^5}\right)}{b}-\frac{10\,a^2\,d^{10}}{b^7}+\frac{45\,c^2\,d^8}{b^5}\right)}{b^3}\right)-\frac{\frac{-1207\,a^{10}\,d^{10}+8250\,a^9\,b\,c\,d^9-23985\,a^8\,b^2\,c^2\,d^8+38280\,a^7\,b^3\,c^3\,d^7-35910\,a^6\,b^4\,c^4\,d^6+19404\,a^5\,b^5\,c^5\,d^5-5250\,a^4\,b^6\,c^6\,d^4+360\,a^3\,b^7\,c^7\,d^3+45\,a^2\,b^8\,c^8\,d^2+10\,a\,b^9\,c^9\,d+3\,b^{10}\,c^{10}}{12\,b}+x\,\left(-\frac{955\,a^9\,d^{10}}{3}+2190\,a^8\,b\,c\,d^9-6420\,a^7\,b^2\,c^2\,d^8+10360\,a^6\,b^3\,c^3\,d^7-9870\,a^5\,b^4\,c^4\,d^6+5460\,a^4\,b^5\,c^5\,d^5-1540\,a^3\,b^6\,c^6\,d^4+120\,a^2\,b^7\,c^7\,d^3+15\,a\,b^8\,c^8\,d^2+\frac{10\,b^9\,c^9\,d}{3}\right)-x^3\,\left(120\,a^7\,b^2\,d^{10}-840\,a^6\,b^3\,c\,d^9+2520\,a^5\,b^4\,c^2\,d^8-4200\,a^4\,b^5\,c^3\,d^7+4200\,a^3\,b^6\,c^4\,d^6-2520\,a^2\,b^7\,c^5\,d^5+840\,a\,b^8\,c^6\,d^4-120\,b^9\,c^7\,d^3\right)+x^2\,\left(-\frac{675\,a^8\,b\,d^{10}}{2}+2340\,a^7\,b^2\,c\,d^9-6930\,a^6\,b^3\,c^2\,d^8+11340\,a^5\,b^4\,c^3\,d^7-11025\,a^4\,b^5\,c^4\,d^6+6300\,a^3\,b^6\,c^5\,d^5-1890\,a^2\,b^7\,c^6\,d^4+180\,a\,b^8\,c^7\,d^3+\frac{45\,b^9\,c^8\,d^2}{2}\right)}{a^4\,b^{10}+4\,a^3\,b^{11}\,x+6\,a^2\,b^{12}\,x^2+4\,a\,b^{13}\,x^3+b^{14}\,x^4}+\frac{\ln\left(a+b\,x\right)\,\left(210\,a^6\,d^{10}-1260\,a^5\,b\,c\,d^9+3150\,a^4\,b^2\,c^2\,d^8-4200\,a^3\,b^3\,c^3\,d^7+3150\,a^2\,b^4\,c^4\,d^6-1260\,a\,b^5\,c^5\,d^5+210\,b^6\,c^6\,d^4\right)}{b^{11}}+\frac{d^{10}\,x^6}{6\,b^5}","Not used",1,"x^2*((5*a*((5*a*((5*a*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b - (10*a^2*d^10)/b^7 + (45*c^2*d^8)/b^5))/b + (10*a^3*d^10)/b^8 - (120*c^3*d^7)/b^5 - (10*a^2*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b^2))/(2*b) - (5*a^4*d^10)/(2*b^9) + (105*c^4*d^6)/b^5 + (5*a^3*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b^3 - (5*a^2*((5*a*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b - (10*a^2*d^10)/b^7 + (45*c^2*d^8)/b^5))/b^2) - x^5*((a*d^10)/b^6 - (2*c*d^9)/b^5) - x^3*((5*a*((5*a*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b - (10*a^2*d^10)/b^7 + (45*c^2*d^8)/b^5))/(3*b) + (10*a^3*d^10)/(3*b^8) - (40*c^3*d^7)/b^5 - (10*a^2*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/(3*b^2)) + x^4*((5*a*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/(4*b) - (5*a^2*d^10)/(2*b^7) + (45*c^2*d^8)/(4*b^5)) - x*((5*a*((5*a*((5*a*((5*a*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b - (10*a^2*d^10)/b^7 + (45*c^2*d^8)/b^5))/b + (10*a^3*d^10)/b^8 - (120*c^3*d^7)/b^5 - (10*a^2*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b^2))/b - (5*a^4*d^10)/b^9 + (210*c^4*d^6)/b^5 + (10*a^3*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b^3 - (10*a^2*((5*a*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b - (10*a^2*d^10)/b^7 + (45*c^2*d^8)/b^5))/b^2))/b + (a^5*d^10)/b^10 - (252*c^5*d^5)/b^5 - (5*a^4*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b^4 - (10*a^2*((5*a*((5*a*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b - (10*a^2*d^10)/b^7 + (45*c^2*d^8)/b^5))/b + (10*a^3*d^10)/b^8 - (120*c^3*d^7)/b^5 - (10*a^2*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b^2))/b^2 + (10*a^3*((5*a*((5*a*d^10)/b^6 - (10*c*d^9)/b^5))/b - (10*a^2*d^10)/b^7 + (45*c^2*d^8)/b^5))/b^3) - ((3*b^10*c^10 - 1207*a^10*d^10 + 45*a^2*b^8*c^8*d^2 + 360*a^3*b^7*c^7*d^3 - 5250*a^4*b^6*c^6*d^4 + 19404*a^5*b^5*c^5*d^5 - 35910*a^6*b^4*c^4*d^6 + 38280*a^7*b^3*c^3*d^7 - 23985*a^8*b^2*c^2*d^8 + 10*a*b^9*c^9*d + 8250*a^9*b*c*d^9)/(12*b) + x*((10*b^9*c^9*d)/3 - (955*a^9*d^10)/3 + 15*a*b^8*c^8*d^2 + 120*a^2*b^7*c^7*d^3 - 1540*a^3*b^6*c^6*d^4 + 5460*a^4*b^5*c^5*d^5 - 9870*a^5*b^4*c^4*d^6 + 10360*a^6*b^3*c^3*d^7 - 6420*a^7*b^2*c^2*d^8 + 2190*a^8*b*c*d^9) - x^3*(120*a^7*b^2*d^10 - 120*b^9*c^7*d^3 + 840*a*b^8*c^6*d^4 - 840*a^6*b^3*c*d^9 - 2520*a^2*b^7*c^5*d^5 + 4200*a^3*b^6*c^4*d^6 - 4200*a^4*b^5*c^3*d^7 + 2520*a^5*b^4*c^2*d^8) + x^2*((45*b^9*c^8*d^2)/2 - (675*a^8*b*d^10)/2 + 180*a*b^8*c^7*d^3 + 2340*a^7*b^2*c*d^9 - 1890*a^2*b^7*c^6*d^4 + 6300*a^3*b^6*c^5*d^5 - 11025*a^4*b^5*c^4*d^6 + 11340*a^5*b^4*c^3*d^7 - 6930*a^6*b^3*c^2*d^8))/(a^4*b^10 + b^14*x^4 + 4*a^3*b^11*x + 4*a*b^13*x^3 + 6*a^2*b^12*x^2) + (log(a + b*x)*(210*a^6*d^10 + 210*b^6*c^6*d^4 - 1260*a*b^5*c^5*d^5 + 3150*a^2*b^4*c^4*d^6 - 4200*a^3*b^3*c^3*d^7 + 3150*a^4*b^2*c^2*d^8 - 1260*a^5*b*c*d^9))/b^11 + (d^10*x^6)/(6*b^5)","B"
1317,1,1141,260,0.396081,"\text{Not used}","int((c + d*x)^10/(a + b*x)^6,x)","x^3\,\left(\frac{2\,a\,\left(\frac{6\,a\,d^{10}}{b^7}-\frac{10\,c\,d^9}{b^6}\right)}{b}-\frac{5\,a^2\,d^{10}}{b^8}+\frac{15\,c^2\,d^8}{b^6}\right)-x^2\,\left(\frac{3\,a\,\left(\frac{6\,a\,\left(\frac{6\,a\,d^{10}}{b^7}-\frac{10\,c\,d^9}{b^6}\right)}{b}-\frac{15\,a^2\,d^{10}}{b^8}+\frac{45\,c^2\,d^8}{b^6}\right)}{b}+\frac{10\,a^3\,d^{10}}{b^9}-\frac{60\,c^3\,d^7}{b^6}-\frac{15\,a^2\,\left(\frac{6\,a\,d^{10}}{b^7}-\frac{10\,c\,d^9}{b^6}\right)}{2\,b^2}\right)-x^4\,\left(\frac{3\,a\,d^{10}}{2\,b^7}-\frac{5\,c\,d^9}{2\,b^6}\right)-\frac{x^4\,\left(210\,a^6\,b^3\,d^{10}-1260\,a^5\,b^4\,c\,d^9+3150\,a^4\,b^5\,c^2\,d^8-4200\,a^3\,b^6\,c^3\,d^7+3150\,a^2\,b^7\,c^4\,d^6-1260\,a\,b^8\,c^5\,d^5+210\,b^9\,c^6\,d^4\right)+\frac{1627\,a^{10}\,d^{10}-9395\,a^9\,b\,c\,d^9+22290\,a^8\,b^2\,c^2\,d^8-27540\,a^7\,b^3\,c^3\,d^7+18270\,a^6\,b^4\,c^4\,d^6-5754\,a^5\,b^5\,c^5\,d^5+420\,a^4\,b^6\,c^6\,d^4+60\,a^3\,b^7\,c^7\,d^3+15\,a^2\,b^8\,c^8\,d^2+5\,a\,b^9\,c^9\,d+2\,b^{10}\,c^{10}}{10\,b}+x\,\left(\frac{1375\,a^9\,d^{10}}{2}-\frac{7995\,a^8\,b\,c\,d^9}{2}+9570\,a^7\,b^2\,c^2\,d^8-11970\,a^6\,b^3\,c^3\,d^7+8085\,a^5\,b^4\,c^4\,d^6-2625\,a^4\,b^5\,c^5\,d^5+210\,a^3\,b^6\,c^6\,d^4+30\,a^2\,b^7\,c^7\,d^3+\frac{15\,a\,b^8\,c^8\,d^2}{2}+\frac{5\,b^9\,c^9\,d}{2}\right)+x^3\,\left(780\,a^7\,b^2\,d^{10}-4620\,a^6\,b^3\,c\,d^9+11340\,a^5\,b^4\,c^2\,d^8-14700\,a^4\,b^5\,c^3\,d^7+10500\,a^3\,b^6\,c^4\,d^6-3780\,a^2\,b^7\,c^5\,d^5+420\,a\,b^8\,c^6\,d^4+60\,b^9\,c^7\,d^3\right)+x^2\,\left(1095\,a^8\,b\,d^{10}-6420\,a^7\,b^2\,c\,d^9+15540\,a^6\,b^3\,c^2\,d^8-19740\,a^5\,b^4\,c^3\,d^7+13650\,a^4\,b^5\,c^4\,d^6-4620\,a^3\,b^6\,c^5\,d^5+420\,a^2\,b^7\,c^6\,d^4+60\,a\,b^8\,c^7\,d^3+15\,b^9\,c^8\,d^2\right)}{a^5\,b^{10}+5\,a^4\,b^{11}\,x+10\,a^3\,b^{12}\,x^2+10\,a^2\,b^{13}\,x^3+5\,a\,b^{14}\,x^4+b^{15}\,x^5}+x\,\left(\frac{6\,a\,\left(\frac{6\,a\,\left(\frac{6\,a\,\left(\frac{6\,a\,d^{10}}{b^7}-\frac{10\,c\,d^9}{b^6}\right)}{b}-\frac{15\,a^2\,d^{10}}{b^8}+\frac{45\,c^2\,d^8}{b^6}\right)}{b}+\frac{20\,a^3\,d^{10}}{b^9}-\frac{120\,c^3\,d^7}{b^6}-\frac{15\,a^2\,\left(\frac{6\,a\,d^{10}}{b^7}-\frac{10\,c\,d^9}{b^6}\right)}{b^2}\right)}{b}-\frac{15\,a^4\,d^{10}}{b^{10}}+\frac{210\,c^4\,d^6}{b^6}+\frac{20\,a^3\,\left(\frac{6\,a\,d^{10}}{b^7}-\frac{10\,c\,d^9}{b^6}\right)}{b^3}-\frac{15\,a^2\,\left(\frac{6\,a\,\left(\frac{6\,a\,d^{10}}{b^7}-\frac{10\,c\,d^9}{b^6}\right)}{b}-\frac{15\,a^2\,d^{10}}{b^8}+\frac{45\,c^2\,d^8}{b^6}\right)}{b^2}\right)+\frac{d^{10}\,x^5}{5\,b^6}-\frac{\ln\left(a+b\,x\right)\,\left(252\,a^5\,d^{10}-1260\,a^4\,b\,c\,d^9+2520\,a^3\,b^2\,c^2\,d^8-2520\,a^2\,b^3\,c^3\,d^7+1260\,a\,b^4\,c^4\,d^6-252\,b^5\,c^5\,d^5\right)}{b^{11}}","Not used",1,"x^3*((2*a*((6*a*d^10)/b^7 - (10*c*d^9)/b^6))/b - (5*a^2*d^10)/b^8 + (15*c^2*d^8)/b^6) - x^2*((3*a*((6*a*((6*a*d^10)/b^7 - (10*c*d^9)/b^6))/b - (15*a^2*d^10)/b^8 + (45*c^2*d^8)/b^6))/b + (10*a^3*d^10)/b^9 - (60*c^3*d^7)/b^6 - (15*a^2*((6*a*d^10)/b^7 - (10*c*d^9)/b^6))/(2*b^2)) - x^4*((3*a*d^10)/(2*b^7) - (5*c*d^9)/(2*b^6)) - (x^4*(210*a^6*b^3*d^10 + 210*b^9*c^6*d^4 - 1260*a*b^8*c^5*d^5 - 1260*a^5*b^4*c*d^9 + 3150*a^2*b^7*c^4*d^6 - 4200*a^3*b^6*c^3*d^7 + 3150*a^4*b^5*c^2*d^8) + (1627*a^10*d^10 + 2*b^10*c^10 + 15*a^2*b^8*c^8*d^2 + 60*a^3*b^7*c^7*d^3 + 420*a^4*b^6*c^6*d^4 - 5754*a^5*b^5*c^5*d^5 + 18270*a^6*b^4*c^4*d^6 - 27540*a^7*b^3*c^3*d^7 + 22290*a^8*b^2*c^2*d^8 + 5*a*b^9*c^9*d - 9395*a^9*b*c*d^9)/(10*b) + x*((1375*a^9*d^10)/2 + (5*b^9*c^9*d)/2 + (15*a*b^8*c^8*d^2)/2 + 30*a^2*b^7*c^7*d^3 + 210*a^3*b^6*c^6*d^4 - 2625*a^4*b^5*c^5*d^5 + 8085*a^5*b^4*c^4*d^6 - 11970*a^6*b^3*c^3*d^7 + 9570*a^7*b^2*c^2*d^8 - (7995*a^8*b*c*d^9)/2) + x^3*(780*a^7*b^2*d^10 + 60*b^9*c^7*d^3 + 420*a*b^8*c^6*d^4 - 4620*a^6*b^3*c*d^9 - 3780*a^2*b^7*c^5*d^5 + 10500*a^3*b^6*c^4*d^6 - 14700*a^4*b^5*c^3*d^7 + 11340*a^5*b^4*c^2*d^8) + x^2*(1095*a^8*b*d^10 + 15*b^9*c^8*d^2 + 60*a*b^8*c^7*d^3 - 6420*a^7*b^2*c*d^9 + 420*a^2*b^7*c^6*d^4 - 4620*a^3*b^6*c^5*d^5 + 13650*a^4*b^5*c^4*d^6 - 19740*a^5*b^4*c^3*d^7 + 15540*a^6*b^3*c^2*d^8))/(a^5*b^10 + b^15*x^5 + 5*a^4*b^11*x + 5*a*b^14*x^4 + 10*a^3*b^12*x^2 + 10*a^2*b^13*x^3) + x*((6*a*((6*a*((6*a*((6*a*d^10)/b^7 - (10*c*d^9)/b^6))/b - (15*a^2*d^10)/b^8 + (45*c^2*d^8)/b^6))/b + (20*a^3*d^10)/b^9 - (120*c^3*d^7)/b^6 - (15*a^2*((6*a*d^10)/b^7 - (10*c*d^9)/b^6))/b^2))/b - (15*a^4*d^10)/b^10 + (210*c^4*d^6)/b^6 + (20*a^3*((6*a*d^10)/b^7 - (10*c*d^9)/b^6))/b^3 - (15*a^2*((6*a*((6*a*d^10)/b^7 - (10*c*d^9)/b^6))/b - (15*a^2*d^10)/b^8 + (45*c^2*d^8)/b^6))/b^2) + (d^10*x^5)/(5*b^6) - (log(a + b*x)*(252*a^5*d^10 - 252*b^5*c^5*d^5 + 1260*a*b^4*c^4*d^6 - 2520*a^2*b^3*c^3*d^7 + 2520*a^3*b^2*c^2*d^8 - 1260*a^4*b*c*d^9))/b^11","B"
1318,1,997,262,0.421946,"\text{Not used}","int((c + d*x)^10/(a + b*x)^7,x)","x^2\,\left(\frac{7\,a\,\left(\frac{7\,a\,d^{10}}{b^8}-\frac{10\,c\,d^9}{b^7}\right)}{2\,b}-\frac{21\,a^2\,d^{10}}{2\,b^9}+\frac{45\,c^2\,d^8}{2\,b^7}\right)-\frac{x^4\,\left(-1155\,a^6\,b^3\,d^{10}+5670\,a^5\,b^4\,c\,d^9-11025\,a^4\,b^5\,c^2\,d^8+10500\,a^3\,b^6\,c^3\,d^7-4725\,a^2\,b^7\,c^4\,d^6+630\,a\,b^8\,c^5\,d^5+105\,b^9\,c^6\,d^4\right)+\frac{-2131\,a^{10}\,d^{10}+10036\,a^9\,b\,c\,d^9-18414\,a^8\,b^2\,c^2\,d^8+16056\,a^7\,b^3\,c^3\,d^7-6174\,a^6\,b^4\,c^4\,d^6+504\,a^5\,b^5\,c^5\,d^5+84\,a^4\,b^6\,c^6\,d^4+24\,a^3\,b^7\,c^7\,d^3+9\,a^2\,b^8\,c^8\,d^2+4\,a\,b^9\,c^9\,d+2\,b^{10}\,c^{10}}{12\,b}+x\,\left(-\frac{1879\,a^9\,d^{10}}{2}+4458\,a^8\,b\,c\,d^9-8262\,a^7\,b^2\,c^2\,d^8+7308\,a^6\,b^3\,c^3\,d^7-2877\,a^5\,b^4\,c^4\,d^6+252\,a^4\,b^5\,c^5\,d^5+42\,a^3\,b^6\,c^6\,d^4+12\,a^2\,b^7\,c^7\,d^3+\frac{9\,a\,b^8\,c^8\,d^2}{2}+2\,b^9\,c^9\,d\right)+x^3\,\left(-2140\,a^7\,b^2\,d^{10}+10360\,a^6\,b^3\,c\,d^9-19740\,a^5\,b^4\,c^2\,d^8+18200\,a^4\,b^5\,c^3\,d^7-7700\,a^3\,b^6\,c^4\,d^6+840\,a^2\,b^7\,c^5\,d^5+140\,a\,b^8\,c^6\,d^4+40\,b^9\,c^7\,d^3\right)+x^2\,\left(-\frac{7995\,a^8\,b\,d^{10}}{4}+9570\,a^7\,b^2\,c\,d^9-17955\,a^6\,b^3\,c^2\,d^8+16170\,a^5\,b^4\,c^3\,d^7-\frac{13125\,a^4\,b^5\,c^4\,d^6}{2}+630\,a^3\,b^6\,c^5\,d^5+105\,a^2\,b^7\,c^6\,d^4+30\,a\,b^8\,c^7\,d^3+\frac{45\,b^9\,c^8\,d^2}{4}\right)-x^5\,\left(252\,a^5\,b^4\,d^{10}-1260\,a^4\,b^5\,c\,d^9+2520\,a^3\,b^6\,c^2\,d^8-2520\,a^2\,b^7\,c^3\,d^7+1260\,a\,b^8\,c^4\,d^6-252\,b^9\,c^5\,d^5\right)}{a^6\,b^{10}+6\,a^5\,b^{11}\,x+15\,a^4\,b^{12}\,x^2+20\,a^3\,b^{13}\,x^3+15\,a^2\,b^{14}\,x^4+6\,a\,b^{15}\,x^5+b^{16}\,x^6}-x^3\,\left(\frac{7\,a\,d^{10}}{3\,b^8}-\frac{10\,c\,d^9}{3\,b^7}\right)-x\,\left(\frac{7\,a\,\left(\frac{7\,a\,\left(\frac{7\,a\,d^{10}}{b^8}-\frac{10\,c\,d^9}{b^7}\right)}{b}-\frac{21\,a^2\,d^{10}}{b^9}+\frac{45\,c^2\,d^8}{b^7}\right)}{b}+\frac{35\,a^3\,d^{10}}{b^{10}}-\frac{120\,c^3\,d^7}{b^7}-\frac{21\,a^2\,\left(\frac{7\,a\,d^{10}}{b^8}-\frac{10\,c\,d^9}{b^7}\right)}{b^2}\right)+\frac{\ln\left(a+b\,x\right)\,\left(210\,a^4\,d^{10}-840\,a^3\,b\,c\,d^9+1260\,a^2\,b^2\,c^2\,d^8-840\,a\,b^3\,c^3\,d^7+210\,b^4\,c^4\,d^6\right)}{b^{11}}+\frac{d^{10}\,x^4}{4\,b^7}","Not used",1,"x^2*((7*a*((7*a*d^10)/b^8 - (10*c*d^9)/b^7))/(2*b) - (21*a^2*d^10)/(2*b^9) + (45*c^2*d^8)/(2*b^7)) - (x^4*(105*b^9*c^6*d^4 - 1155*a^6*b^3*d^10 + 630*a*b^8*c^5*d^5 + 5670*a^5*b^4*c*d^9 - 4725*a^2*b^7*c^4*d^6 + 10500*a^3*b^6*c^3*d^7 - 11025*a^4*b^5*c^2*d^8) + (2*b^10*c^10 - 2131*a^10*d^10 + 9*a^2*b^8*c^8*d^2 + 24*a^3*b^7*c^7*d^3 + 84*a^4*b^6*c^6*d^4 + 504*a^5*b^5*c^5*d^5 - 6174*a^6*b^4*c^4*d^6 + 16056*a^7*b^3*c^3*d^7 - 18414*a^8*b^2*c^2*d^8 + 4*a*b^9*c^9*d + 10036*a^9*b*c*d^9)/(12*b) + x*(2*b^9*c^9*d - (1879*a^9*d^10)/2 + (9*a*b^8*c^8*d^2)/2 + 12*a^2*b^7*c^7*d^3 + 42*a^3*b^6*c^6*d^4 + 252*a^4*b^5*c^5*d^5 - 2877*a^5*b^4*c^4*d^6 + 7308*a^6*b^3*c^3*d^7 - 8262*a^7*b^2*c^2*d^8 + 4458*a^8*b*c*d^9) + x^3*(40*b^9*c^7*d^3 - 2140*a^7*b^2*d^10 + 140*a*b^8*c^6*d^4 + 10360*a^6*b^3*c*d^9 + 840*a^2*b^7*c^5*d^5 - 7700*a^3*b^6*c^4*d^6 + 18200*a^4*b^5*c^3*d^7 - 19740*a^5*b^4*c^2*d^8) + x^2*((45*b^9*c^8*d^2)/4 - (7995*a^8*b*d^10)/4 + 30*a*b^8*c^7*d^3 + 9570*a^7*b^2*c*d^9 + 105*a^2*b^7*c^6*d^4 + 630*a^3*b^6*c^5*d^5 - (13125*a^4*b^5*c^4*d^6)/2 + 16170*a^5*b^4*c^3*d^7 - 17955*a^6*b^3*c^2*d^8) - x^5*(252*a^5*b^4*d^10 - 252*b^9*c^5*d^5 + 1260*a*b^8*c^4*d^6 - 1260*a^4*b^5*c*d^9 - 2520*a^2*b^7*c^3*d^7 + 2520*a^3*b^6*c^2*d^8))/(a^6*b^10 + b^16*x^6 + 6*a^5*b^11*x + 6*a*b^15*x^5 + 15*a^4*b^12*x^2 + 20*a^3*b^13*x^3 + 15*a^2*b^14*x^4) - x^3*((7*a*d^10)/(3*b^8) - (10*c*d^9)/(3*b^7)) - x*((7*a*((7*a*((7*a*d^10)/b^8 - (10*c*d^9)/b^7))/b - (21*a^2*d^10)/b^9 + (45*c^2*d^8)/b^7))/b + (35*a^3*d^10)/b^10 - (120*c^3*d^7)/b^7 - (21*a^2*((7*a*d^10)/b^8 - (10*c*d^9)/b^7))/b^2) + (log(a + b*x)*(210*a^4*d^10 + 210*b^4*c^4*d^6 - 840*a*b^3*c^3*d^7 + 1260*a^2*b^2*c^2*d^8 - 840*a^3*b*c*d^9))/b^11 + (d^10*x^4)/(4*b^7)","B"
1319,1,950,258,0.428215,"\text{Not used}","int((c + d*x)^10/(a + b*x)^8,x)","x\,\left(\frac{8\,a\,\left(\frac{8\,a\,d^{10}}{b^9}-\frac{10\,c\,d^9}{b^8}\right)}{b}-\frac{28\,a^2\,d^{10}}{b^{10}}+\frac{45\,c^2\,d^8}{b^8}\right)-\frac{x^4\,\left(2590\,a^6\,b^3\,d^{10}-9870\,a^5\,b^4\,c\,d^9+13650\,a^4\,b^5\,c^2\,d^8-7700\,a^3\,b^6\,c^3\,d^7+1050\,a^2\,b^7\,c^4\,d^6+210\,a\,b^8\,c^5\,d^5+70\,b^9\,c^6\,d^4\right)+x^6\,\left(210\,a^4\,b^5\,d^{10}-840\,a^3\,b^6\,c\,d^9+1260\,a^2\,b^7\,c^2\,d^8-840\,a\,b^8\,c^3\,d^7+210\,b^9\,c^4\,d^6\right)+\frac{2761\,a^{10}\,d^{10}-10047\,a^9\,b\,c\,d^9+12987\,a^8\,b^2\,c^2\,d^8-6534\,a^7\,b^3\,c^3\,d^7+630\,a^6\,b^4\,c^4\,d^6+126\,a^5\,b^5\,c^5\,d^5+42\,a^4\,b^6\,c^6\,d^4+18\,a^3\,b^7\,c^7\,d^3+9\,a^2\,b^8\,c^8\,d^2+5\,a\,b^9\,c^9\,d+3\,b^{10}\,c^{10}}{21\,b}+x\,\left(\frac{2509\,a^9\,d^{10}}{3}-3069\,a^8\,b\,c\,d^9+4014\,a^7\,b^2\,c^2\,d^8-2058\,a^6\,b^3\,c^3\,d^7+210\,a^5\,b^4\,c^4\,d^6+42\,a^4\,b^5\,c^5\,d^5+14\,a^3\,b^6\,c^6\,d^4+6\,a^2\,b^7\,c^7\,d^3+3\,a\,b^8\,c^8\,d^2+\frac{5\,b^9\,c^9\,d}{3}\right)+x^3\,\left(3190\,a^7\,b^2\,d^{10}-11970\,a^6\,b^3\,c\,d^9+16170\,a^5\,b^4\,c^2\,d^8-8750\,a^4\,b^5\,c^3\,d^7+1050\,a^3\,b^6\,c^4\,d^6+210\,a^2\,b^7\,c^5\,d^5+70\,a\,b^8\,c^6\,d^4+30\,b^9\,c^7\,d^3\right)+x^2\,\left(2229\,a^8\,b\,d^{10}-8262\,a^7\,b^2\,c\,d^9+10962\,a^6\,b^3\,c^2\,d^8-5754\,a^5\,b^4\,c^3\,d^7+630\,a^4\,b^5\,c^4\,d^6+126\,a^3\,b^6\,c^5\,d^5+42\,a^2\,b^7\,c^6\,d^4+18\,a\,b^8\,c^7\,d^3+9\,b^9\,c^8\,d^2\right)+x^5\,\left(1134\,a^5\,b^4\,d^{10}-4410\,a^4\,b^5\,c\,d^9+6300\,a^3\,b^6\,c^2\,d^8-3780\,a^2\,b^7\,c^3\,d^7+630\,a\,b^8\,c^4\,d^6+126\,b^9\,c^5\,d^5\right)}{a^7\,b^{10}+7\,a^6\,b^{11}\,x+21\,a^5\,b^{12}\,x^2+35\,a^4\,b^{13}\,x^3+35\,a^3\,b^{14}\,x^4+21\,a^2\,b^{15}\,x^5+7\,a\,b^{16}\,x^6+b^{17}\,x^7}-x^2\,\left(\frac{4\,a\,d^{10}}{b^9}-\frac{5\,c\,d^9}{b^8}\right)-\frac{\ln\left(a+b\,x\right)\,\left(120\,a^3\,d^{10}-360\,a^2\,b\,c\,d^9+360\,a\,b^2\,c^2\,d^8-120\,b^3\,c^3\,d^7\right)}{b^{11}}+\frac{d^{10}\,x^3}{3\,b^8}","Not used",1,"x*((8*a*((8*a*d^10)/b^9 - (10*c*d^9)/b^8))/b - (28*a^2*d^10)/b^10 + (45*c^2*d^8)/b^8) - (x^4*(2590*a^6*b^3*d^10 + 70*b^9*c^6*d^4 + 210*a*b^8*c^5*d^5 - 9870*a^5*b^4*c*d^9 + 1050*a^2*b^7*c^4*d^6 - 7700*a^3*b^6*c^3*d^7 + 13650*a^4*b^5*c^2*d^8) + x^6*(210*a^4*b^5*d^10 + 210*b^9*c^4*d^6 - 840*a*b^8*c^3*d^7 - 840*a^3*b^6*c*d^9 + 1260*a^2*b^7*c^2*d^8) + (2761*a^10*d^10 + 3*b^10*c^10 + 9*a^2*b^8*c^8*d^2 + 18*a^3*b^7*c^7*d^3 + 42*a^4*b^6*c^6*d^4 + 126*a^5*b^5*c^5*d^5 + 630*a^6*b^4*c^4*d^6 - 6534*a^7*b^3*c^3*d^7 + 12987*a^8*b^2*c^2*d^8 + 5*a*b^9*c^9*d - 10047*a^9*b*c*d^9)/(21*b) + x*((2509*a^9*d^10)/3 + (5*b^9*c^9*d)/3 + 3*a*b^8*c^8*d^2 + 6*a^2*b^7*c^7*d^3 + 14*a^3*b^6*c^6*d^4 + 42*a^4*b^5*c^5*d^5 + 210*a^5*b^4*c^4*d^6 - 2058*a^6*b^3*c^3*d^7 + 4014*a^7*b^2*c^2*d^8 - 3069*a^8*b*c*d^9) + x^3*(3190*a^7*b^2*d^10 + 30*b^9*c^7*d^3 + 70*a*b^8*c^6*d^4 - 11970*a^6*b^3*c*d^9 + 210*a^2*b^7*c^5*d^5 + 1050*a^3*b^6*c^4*d^6 - 8750*a^4*b^5*c^3*d^7 + 16170*a^5*b^4*c^2*d^8) + x^2*(2229*a^8*b*d^10 + 9*b^9*c^8*d^2 + 18*a*b^8*c^7*d^3 - 8262*a^7*b^2*c*d^9 + 42*a^2*b^7*c^6*d^4 + 126*a^3*b^6*c^5*d^5 + 630*a^4*b^5*c^4*d^6 - 5754*a^5*b^4*c^3*d^7 + 10962*a^6*b^3*c^2*d^8) + x^5*(1134*a^5*b^4*d^10 + 126*b^9*c^5*d^5 + 630*a*b^8*c^4*d^6 - 4410*a^4*b^5*c*d^9 - 3780*a^2*b^7*c^3*d^7 + 6300*a^3*b^6*c^2*d^8))/(a^7*b^10 + b^17*x^7 + 7*a^6*b^11*x + 7*a*b^16*x^6 + 21*a^5*b^12*x^2 + 35*a^4*b^13*x^3 + 35*a^3*b^14*x^4 + 21*a^2*b^15*x^5) - x^2*((4*a*d^10)/b^9 - (5*c*d^9)/b^8) - (log(a + b*x)*(120*a^3*d^10 - 120*b^3*c^3*d^7 + 360*a*b^2*c^2*d^8 - 360*a^2*b*c*d^9))/b^11 + (d^10*x^3)/(3*b^8)","B"
1320,1,946,258,0.263100,"\text{Not used}","int((c + d*x)^10/(a + b*x)^9,x)","\frac{\ln\left(a+b\,x\right)\,\left(45\,a^2\,d^{10}-90\,a\,b\,c\,d^9+45\,b^2\,c^2\,d^8\right)}{b^{11}}-\frac{x^4\,\left(-\frac{5985\,a^6\,b^3\,d^{10}}{2}+8085\,a^5\,b^4\,c\,d^9-\frac{13125\,a^4\,b^5\,c^2\,d^8}{2}+1050\,a^3\,b^6\,c^3\,d^7+\frac{525\,a^2\,b^7\,c^4\,d^6}{2}+105\,a\,b^8\,c^5\,d^5+\frac{105\,b^9\,c^6\,d^4}{2}\right)+x^6\,\left(-735\,a^4\,b^5\,d^{10}+2100\,a^3\,b^6\,c\,d^9-1890\,a^2\,b^7\,c^2\,d^8+420\,a\,b^8\,c^3\,d^7+105\,b^9\,c^4\,d^6\right)+\frac{-3601\,a^{10}\,d^{10}+9218\,a^9\,b\,c\,d^9-6849\,a^8\,b^2\,c^2\,d^8+840\,a^7\,b^3\,c^3\,d^7+210\,a^6\,b^4\,c^4\,d^6+84\,a^5\,b^5\,c^5\,d^5+42\,a^4\,b^6\,c^6\,d^4+24\,a^3\,b^7\,c^7\,d^3+15\,a^2\,b^8\,c^8\,d^2+10\,a\,b^9\,c^9\,d+7\,b^{10}\,c^{10}}{56\,b}+x\,\left(-\frac{3349\,a^9\,d^{10}}{7}+\frac{8658\,a^8\,b\,c\,d^9}{7}-\frac{6534\,a^7\,b^2\,c^2\,d^8}{7}+120\,a^6\,b^3\,c^3\,d^7+30\,a^5\,b^4\,c^4\,d^6+12\,a^4\,b^5\,c^5\,d^5+6\,a^3\,b^6\,c^6\,d^4+\frac{24\,a^2\,b^7\,c^7\,d^3}{7}+\frac{15\,a\,b^8\,c^8\,d^2}{7}+\frac{10\,b^9\,c^9\,d}{7}\right)+x^3\,\left(-2754\,a^7\,b^2\,d^{10}+7308\,a^6\,b^3\,c\,d^9-5754\,a^5\,b^4\,c^2\,d^8+840\,a^4\,b^5\,c^3\,d^7+210\,a^3\,b^6\,c^4\,d^6+84\,a^2\,b^7\,c^5\,d^5+42\,a\,b^8\,c^6\,d^4+24\,b^9\,c^7\,d^3\right)+x^2\,\left(-\frac{3069\,a^8\,b\,d^{10}}{2}+4014\,a^7\,b^2\,c\,d^9-3087\,a^6\,b^3\,c^2\,d^8+420\,a^5\,b^4\,c^3\,d^7+105\,a^4\,b^5\,c^4\,d^6+42\,a^3\,b^6\,c^5\,d^5+21\,a^2\,b^7\,c^6\,d^4+12\,a\,b^8\,c^7\,d^3+\frac{15\,b^9\,c^8\,d^2}{2}\right)+x^5\,\left(-1974\,a^5\,b^4\,d^{10}+5460\,a^4\,b^5\,c\,d^9-4620\,a^3\,b^6\,c^2\,d^8+840\,a^2\,b^7\,c^3\,d^7+210\,a\,b^8\,c^4\,d^6+84\,b^9\,c^5\,d^5\right)-x^7\,\left(120\,a^3\,b^6\,d^{10}-360\,a^2\,b^7\,c\,d^9+360\,a\,b^8\,c^2\,d^8-120\,b^9\,c^3\,d^7\right)}{a^8\,b^{10}+8\,a^7\,b^{11}\,x+28\,a^6\,b^{12}\,x^2+56\,a^5\,b^{13}\,x^3+70\,a^4\,b^{14}\,x^4+56\,a^3\,b^{15}\,x^5+28\,a^2\,b^{16}\,x^6+8\,a\,b^{17}\,x^7+b^{18}\,x^8}-x\,\left(\frac{9\,a\,d^{10}}{b^{10}}-\frac{10\,c\,d^9}{b^9}\right)+\frac{d^{10}\,x^2}{2\,b^9}","Not used",1,"(log(a + b*x)*(45*a^2*d^10 + 45*b^2*c^2*d^8 - 90*a*b*c*d^9))/b^11 - (x^4*((105*b^9*c^6*d^4)/2 - (5985*a^6*b^3*d^10)/2 + 105*a*b^8*c^5*d^5 + 8085*a^5*b^4*c*d^9 + (525*a^2*b^7*c^4*d^6)/2 + 1050*a^3*b^6*c^3*d^7 - (13125*a^4*b^5*c^2*d^8)/2) + x^6*(105*b^9*c^4*d^6 - 735*a^4*b^5*d^10 + 420*a*b^8*c^3*d^7 + 2100*a^3*b^6*c*d^9 - 1890*a^2*b^7*c^2*d^8) + (7*b^10*c^10 - 3601*a^10*d^10 + 15*a^2*b^8*c^8*d^2 + 24*a^3*b^7*c^7*d^3 + 42*a^4*b^6*c^6*d^4 + 84*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 + 840*a^7*b^3*c^3*d^7 - 6849*a^8*b^2*c^2*d^8 + 10*a*b^9*c^9*d + 9218*a^9*b*c*d^9)/(56*b) + x*((10*b^9*c^9*d)/7 - (3349*a^9*d^10)/7 + (15*a*b^8*c^8*d^2)/7 + (24*a^2*b^7*c^7*d^3)/7 + 6*a^3*b^6*c^6*d^4 + 12*a^4*b^5*c^5*d^5 + 30*a^5*b^4*c^4*d^6 + 120*a^6*b^3*c^3*d^7 - (6534*a^7*b^2*c^2*d^8)/7 + (8658*a^8*b*c*d^9)/7) + x^3*(24*b^9*c^7*d^3 - 2754*a^7*b^2*d^10 + 42*a*b^8*c^6*d^4 + 7308*a^6*b^3*c*d^9 + 84*a^2*b^7*c^5*d^5 + 210*a^3*b^6*c^4*d^6 + 840*a^4*b^5*c^3*d^7 - 5754*a^5*b^4*c^2*d^8) + x^2*((15*b^9*c^8*d^2)/2 - (3069*a^8*b*d^10)/2 + 12*a*b^8*c^7*d^3 + 4014*a^7*b^2*c*d^9 + 21*a^2*b^7*c^6*d^4 + 42*a^3*b^6*c^5*d^5 + 105*a^4*b^5*c^4*d^6 + 420*a^5*b^4*c^3*d^7 - 3087*a^6*b^3*c^2*d^8) + x^5*(84*b^9*c^5*d^5 - 1974*a^5*b^4*d^10 + 210*a*b^8*c^4*d^6 + 5460*a^4*b^5*c*d^9 + 840*a^2*b^7*c^3*d^7 - 4620*a^3*b^6*c^2*d^8) - x^7*(120*a^3*b^6*d^10 - 120*b^9*c^3*d^7 + 360*a*b^8*c^2*d^8 - 360*a^2*b^7*c*d^9))/(a^8*b^10 + b^18*x^8 + 8*a^7*b^11*x + 8*a*b^17*x^7 + 28*a^6*b^12*x^2 + 56*a^5*b^13*x^3 + 70*a^4*b^14*x^4 + 56*a^3*b^15*x^5 + 28*a^2*b^16*x^6) - x*((9*a*d^10)/b^10 - (10*c*d^9)/b^9) + (d^10*x^2)/(2*b^9)","B"
1321,1,955,257,0.501876,"\text{Not used}","int((c + d*x)^10/(a + b*x)^10,x)","\frac{d^{10}\,x}{b^{10}}-\frac{\ln\left(a+b\,x\right)\,\left(10\,a\,d^{10}-10\,b\,c\,d^9\right)}{b^{11}}-\frac{x^4\,\left(1827\,a^6\,b^3\,d^{10}-2877\,a^5\,b^4\,c\,d^9+630\,a^4\,b^5\,c^2\,d^8+210\,a^3\,b^6\,c^3\,d^7+105\,a^2\,b^7\,c^4\,d^6+63\,a\,b^8\,c^5\,d^5+42\,b^9\,c^6\,d^4\right)+x^6\,\left(910\,a^4\,b^5\,d^{10}-1540\,a^3\,b^6\,c\,d^9+420\,a^2\,b^7\,c^2\,d^8+140\,a\,b^8\,c^3\,d^7+70\,b^9\,c^4\,d^6\right)+\frac{4861\,a^{10}\,d^{10}-7129\,a^9\,b\,c\,d^9+1260\,a^8\,b^2\,c^2\,d^8+420\,a^7\,b^3\,c^3\,d^7+210\,a^6\,b^4\,c^4\,d^6+126\,a^5\,b^5\,c^5\,d^5+84\,a^4\,b^6\,c^6\,d^4+60\,a^3\,b^7\,c^7\,d^3+45\,a^2\,b^8\,c^8\,d^2+35\,a\,b^9\,c^9\,d+28\,b^{10}\,c^{10}}{252\,b}+x\,\left(\frac{4609\,a^9\,d^{10}}{28}-\frac{6849\,a^8\,b\,c\,d^9}{28}+45\,a^7\,b^2\,c^2\,d^8+15\,a^6\,b^3\,c^3\,d^7+\frac{15\,a^5\,b^4\,c^4\,d^6}{2}+\frac{9\,a^4\,b^5\,c^5\,d^5}{2}+3\,a^3\,b^6\,c^6\,d^4+\frac{15\,a^2\,b^7\,c^7\,d^3}{7}+\frac{45\,a\,b^8\,c^8\,d^2}{28}+\frac{5\,b^9\,c^9\,d}{4}\right)+x^8\,\left(45\,a^2\,b^7\,d^{10}-90\,a\,b^8\,c\,d^9+45\,b^9\,c^2\,d^8\right)+x^3\,\left(1338\,a^7\,b^2\,d^{10}-2058\,a^6\,b^3\,c\,d^9+420\,a^5\,b^4\,c^2\,d^8+140\,a^4\,b^5\,c^3\,d^7+70\,a^3\,b^6\,c^4\,d^6+42\,a^2\,b^7\,c^5\,d^5+28\,a\,b^8\,c^6\,d^4+20\,b^9\,c^7\,d^3\right)+x^2\,\left(\frac{4329\,a^8\,b\,d^{10}}{7}-\frac{6534\,a^7\,b^2\,c\,d^9}{7}+180\,a^6\,b^3\,c^2\,d^8+60\,a^5\,b^4\,c^3\,d^7+30\,a^4\,b^5\,c^4\,d^6+18\,a^3\,b^6\,c^5\,d^5+12\,a^2\,b^7\,c^6\,d^4+\frac{60\,a\,b^8\,c^7\,d^3}{7}+\frac{45\,b^9\,c^8\,d^2}{7}\right)+x^5\,\left(1617\,a^5\,b^4\,d^{10}-2625\,a^4\,b^5\,c\,d^9+630\,a^3\,b^6\,c^2\,d^8+210\,a^2\,b^7\,c^3\,d^7+105\,a\,b^8\,c^4\,d^6+63\,b^9\,c^5\,d^5\right)+x^7\,\left(300\,a^3\,b^6\,d^{10}-540\,a^2\,b^7\,c\,d^9+180\,a\,b^8\,c^2\,d^8+60\,b^9\,c^3\,d^7\right)}{a^9\,b^{10}+9\,a^8\,b^{11}\,x+36\,a^7\,b^{12}\,x^2+84\,a^6\,b^{13}\,x^3+126\,a^5\,b^{14}\,x^4+126\,a^4\,b^{15}\,x^5+84\,a^3\,b^{16}\,x^6+36\,a^2\,b^{17}\,x^7+9\,a\,b^{18}\,x^8+b^{19}\,x^9}","Not used",1,"(d^10*x)/b^10 - (log(a + b*x)*(10*a*d^10 - 10*b*c*d^9))/b^11 - (x^4*(1827*a^6*b^3*d^10 + 42*b^9*c^6*d^4 + 63*a*b^8*c^5*d^5 - 2877*a^5*b^4*c*d^9 + 105*a^2*b^7*c^4*d^6 + 210*a^3*b^6*c^3*d^7 + 630*a^4*b^5*c^2*d^8) + x^6*(910*a^4*b^5*d^10 + 70*b^9*c^4*d^6 + 140*a*b^8*c^3*d^7 - 1540*a^3*b^6*c*d^9 + 420*a^2*b^7*c^2*d^8) + (4861*a^10*d^10 + 28*b^10*c^10 + 45*a^2*b^8*c^8*d^2 + 60*a^3*b^7*c^7*d^3 + 84*a^4*b^6*c^6*d^4 + 126*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 + 420*a^7*b^3*c^3*d^7 + 1260*a^8*b^2*c^2*d^8 + 35*a*b^9*c^9*d - 7129*a^9*b*c*d^9)/(252*b) + x*((4609*a^9*d^10)/28 + (5*b^9*c^9*d)/4 + (45*a*b^8*c^8*d^2)/28 + (15*a^2*b^7*c^7*d^3)/7 + 3*a^3*b^6*c^6*d^4 + (9*a^4*b^5*c^5*d^5)/2 + (15*a^5*b^4*c^4*d^6)/2 + 15*a^6*b^3*c^3*d^7 + 45*a^7*b^2*c^2*d^8 - (6849*a^8*b*c*d^9)/28) + x^8*(45*a^2*b^7*d^10 + 45*b^9*c^2*d^8 - 90*a*b^8*c*d^9) + x^3*(1338*a^7*b^2*d^10 + 20*b^9*c^7*d^3 + 28*a*b^8*c^6*d^4 - 2058*a^6*b^3*c*d^9 + 42*a^2*b^7*c^5*d^5 + 70*a^3*b^6*c^4*d^6 + 140*a^4*b^5*c^3*d^7 + 420*a^5*b^4*c^2*d^8) + x^2*((4329*a^8*b*d^10)/7 + (45*b^9*c^8*d^2)/7 + (60*a*b^8*c^7*d^3)/7 - (6534*a^7*b^2*c*d^9)/7 + 12*a^2*b^7*c^6*d^4 + 18*a^3*b^6*c^5*d^5 + 30*a^4*b^5*c^4*d^6 + 60*a^5*b^4*c^3*d^7 + 180*a^6*b^3*c^2*d^8) + x^5*(1617*a^5*b^4*d^10 + 63*b^9*c^5*d^5 + 105*a*b^8*c^4*d^6 - 2625*a^4*b^5*c*d^9 + 210*a^2*b^7*c^3*d^7 + 630*a^3*b^6*c^2*d^8) + x^7*(300*a^3*b^6*d^10 + 60*b^9*c^3*d^7 + 180*a*b^8*c^2*d^8 - 540*a^2*b^7*c*d^9))/(a^9*b^10 + b^19*x^9 + 9*a^8*b^11*x + 9*a*b^18*x^8 + 36*a^7*b^12*x^2 + 84*a^6*b^13*x^3 + 126*a^5*b^14*x^4 + 126*a^4*b^15*x^5 + 84*a^3*b^16*x^6 + 36*a^2*b^17*x^7)","B"
1322,1,866,271,0.555103,"\text{Not used}","int((c + d*x)^10/(a + b*x)^11,x)","\frac{d^{10}\,\ln\left(a+b\,x\right)}{b^{11}}-\frac{x^4\,\left(-\frac{1029\,a^6\,b^4\,d^{10}}{2}+210\,a^5\,b^5\,c\,d^9+105\,a^4\,b^6\,c^2\,d^8+70\,a^3\,b^7\,c^3\,d^7+\frac{105\,a^2\,b^8\,c^4\,d^6}{2}+42\,a\,b^9\,c^5\,d^5+35\,b^{10}\,c^6\,d^4\right)-x^9\,\left(10\,a\,b^9\,d^{10}-10\,b^{10}\,c\,d^9\right)+x\,\left(-\frac{7129\,a^9\,b\,d^{10}}{252}+10\,a^8\,b^2\,c\,d^9+5\,a^7\,b^3\,c^2\,d^8+\frac{10\,a^6\,b^4\,c^3\,d^7}{3}+\frac{5\,a^5\,b^5\,c^4\,d^6}{2}+2\,a^4\,b^6\,c^5\,d^5+\frac{5\,a^3\,b^7\,c^6\,d^4}{3}+\frac{10\,a^2\,b^8\,c^7\,d^3}{7}+\frac{5\,a\,b^9\,c^8\,d^2}{4}+\frac{10\,b^{10}\,c^9\,d}{9}\right)+x^6\,\left(-\frac{875\,a^4\,b^6\,d^{10}}{2}+210\,a^3\,b^7\,c\,d^9+105\,a^2\,b^8\,c^2\,d^8+70\,a\,b^9\,c^3\,d^7+\frac{105\,b^{10}\,c^4\,d^6}{2}\right)+x^8\,\left(-\frac{135\,a^2\,b^8\,d^{10}}{2}+45\,a\,b^9\,c\,d^9+\frac{45\,b^{10}\,c^2\,d^8}{2}\right)+x^3\,\left(-\frac{2178\,a^7\,b^3\,d^{10}}{7}+120\,a^6\,b^4\,c\,d^9+60\,a^5\,b^5\,c^2\,d^8+40\,a^4\,b^6\,c^3\,d^7+30\,a^3\,b^7\,c^4\,d^6+24\,a^2\,b^8\,c^5\,d^5+20\,a\,b^9\,c^6\,d^4+\frac{120\,b^{10}\,c^7\,d^3}{7}\right)+x^5\,\left(-\frac{2877\,a^5\,b^5\,d^{10}}{5}+252\,a^4\,b^6\,c\,d^9+126\,a^3\,b^7\,c^2\,d^8+84\,a^2\,b^8\,c^3\,d^7+63\,a\,b^9\,c^4\,d^6+\frac{252\,b^{10}\,c^5\,d^5}{5}\right)-\frac{7381\,a^{10}\,d^{10}}{2520}+\frac{b^{10}\,c^{10}}{10}+x^7\,\left(-220\,a^3\,b^7\,d^{10}+120\,a^2\,b^8\,c\,d^9+60\,a\,b^9\,c^2\,d^8+40\,b^{10}\,c^3\,d^7\right)+x^2\,\left(-\frac{6849\,a^8\,b^2\,d^{10}}{56}+45\,a^7\,b^3\,c\,d^9+\frac{45\,a^6\,b^4\,c^2\,d^8}{2}+15\,a^5\,b^5\,c^3\,d^7+\frac{45\,a^4\,b^6\,c^4\,d^6}{4}+9\,a^3\,b^7\,c^5\,d^5+\frac{15\,a^2\,b^8\,c^6\,d^4}{2}+\frac{45\,a\,b^9\,c^7\,d^3}{7}+\frac{45\,b^{10}\,c^8\,d^2}{8}\right)+\frac{a^2\,b^8\,c^8\,d^2}{8}+\frac{a^3\,b^7\,c^7\,d^3}{7}+\frac{a^4\,b^6\,c^6\,d^4}{6}+\frac{a^5\,b^5\,c^5\,d^5}{5}+\frac{a^6\,b^4\,c^4\,d^6}{4}+\frac{a^7\,b^3\,c^3\,d^7}{3}+\frac{a^8\,b^2\,c^2\,d^8}{2}+\frac{a\,b^9\,c^9\,d}{9}+a^9\,b\,c\,d^9}{b^{11}\,{\left(a+b\,x\right)}^{10}}","Not used",1,"(d^10*log(a + b*x))/b^11 - (x^4*(35*b^10*c^6*d^4 - (1029*a^6*b^4*d^10)/2 + 42*a*b^9*c^5*d^5 + 210*a^5*b^5*c*d^9 + (105*a^2*b^8*c^4*d^6)/2 + 70*a^3*b^7*c^3*d^7 + 105*a^4*b^6*c^2*d^8) - x^9*(10*a*b^9*d^10 - 10*b^10*c*d^9) + x*((10*b^10*c^9*d)/9 - (7129*a^9*b*d^10)/252 + (5*a*b^9*c^8*d^2)/4 + 10*a^8*b^2*c*d^9 + (10*a^2*b^8*c^7*d^3)/7 + (5*a^3*b^7*c^6*d^4)/3 + 2*a^4*b^6*c^5*d^5 + (5*a^5*b^5*c^4*d^6)/2 + (10*a^6*b^4*c^3*d^7)/3 + 5*a^7*b^3*c^2*d^8) + x^6*((105*b^10*c^4*d^6)/2 - (875*a^4*b^6*d^10)/2 + 70*a*b^9*c^3*d^7 + 210*a^3*b^7*c*d^9 + 105*a^2*b^8*c^2*d^8) + x^8*((45*b^10*c^2*d^8)/2 - (135*a^2*b^8*d^10)/2 + 45*a*b^9*c*d^9) + x^3*((120*b^10*c^7*d^3)/7 - (2178*a^7*b^3*d^10)/7 + 20*a*b^9*c^6*d^4 + 120*a^6*b^4*c*d^9 + 24*a^2*b^8*c^5*d^5 + 30*a^3*b^7*c^4*d^6 + 40*a^4*b^6*c^3*d^7 + 60*a^5*b^5*c^2*d^8) + x^5*((252*b^10*c^5*d^5)/5 - (2877*a^5*b^5*d^10)/5 + 63*a*b^9*c^4*d^6 + 252*a^4*b^6*c*d^9 + 84*a^2*b^8*c^3*d^7 + 126*a^3*b^7*c^2*d^8) - (7381*a^10*d^10)/2520 + (b^10*c^10)/10 + x^7*(40*b^10*c^3*d^7 - 220*a^3*b^7*d^10 + 60*a*b^9*c^2*d^8 + 120*a^2*b^8*c*d^9) + x^2*((45*b^10*c^8*d^2)/8 - (6849*a^8*b^2*d^10)/56 + (45*a*b^9*c^7*d^3)/7 + 45*a^7*b^3*c*d^9 + (15*a^2*b^8*c^6*d^4)/2 + 9*a^3*b^7*c^5*d^5 + (45*a^4*b^6*c^4*d^6)/4 + 15*a^5*b^5*c^3*d^7 + (45*a^6*b^4*c^2*d^8)/2) + (a^2*b^8*c^8*d^2)/8 + (a^3*b^7*c^7*d^3)/7 + (a^4*b^6*c^6*d^4)/6 + (a^5*b^5*c^5*d^5)/5 + (a^6*b^4*c^4*d^6)/4 + (a^7*b^3*c^3*d^7)/3 + (a^8*b^2*c^2*d^8)/2 + (a*b^9*c^9*d)/9 + a^9*b*c*d^9)/(b^11*(a + b*x)^10)","B"
1323,1,1066,28,0.458327,"\text{Not used}","int((c + d*x)^10/(a + b*x)^12,x)","-\frac{a^{10}\,d^{10}+a^9\,b\,c\,d^9+11\,a^9\,b\,d^{10}\,x+a^8\,b^2\,c^2\,d^8+11\,a^8\,b^2\,c\,d^9\,x+55\,a^8\,b^2\,d^{10}\,x^2+a^7\,b^3\,c^3\,d^7+11\,a^7\,b^3\,c^2\,d^8\,x+55\,a^7\,b^3\,c\,d^9\,x^2+165\,a^7\,b^3\,d^{10}\,x^3+a^6\,b^4\,c^4\,d^6+11\,a^6\,b^4\,c^3\,d^7\,x+55\,a^6\,b^4\,c^2\,d^8\,x^2+165\,a^6\,b^4\,c\,d^9\,x^3+330\,a^6\,b^4\,d^{10}\,x^4+a^5\,b^5\,c^5\,d^5+11\,a^5\,b^5\,c^4\,d^6\,x+55\,a^5\,b^5\,c^3\,d^7\,x^2+165\,a^5\,b^5\,c^2\,d^8\,x^3+330\,a^5\,b^5\,c\,d^9\,x^4+462\,a^5\,b^5\,d^{10}\,x^5+a^4\,b^6\,c^6\,d^4+11\,a^4\,b^6\,c^5\,d^5\,x+55\,a^4\,b^6\,c^4\,d^6\,x^2+165\,a^4\,b^6\,c^3\,d^7\,x^3+330\,a^4\,b^6\,c^2\,d^8\,x^4+462\,a^4\,b^6\,c\,d^9\,x^5+462\,a^4\,b^6\,d^{10}\,x^6+a^3\,b^7\,c^7\,d^3+11\,a^3\,b^7\,c^6\,d^4\,x+55\,a^3\,b^7\,c^5\,d^5\,x^2+165\,a^3\,b^7\,c^4\,d^6\,x^3+330\,a^3\,b^7\,c^3\,d^7\,x^4+462\,a^3\,b^7\,c^2\,d^8\,x^5+462\,a^3\,b^7\,c\,d^9\,x^6+330\,a^3\,b^7\,d^{10}\,x^7+a^2\,b^8\,c^8\,d^2+11\,a^2\,b^8\,c^7\,d^3\,x+55\,a^2\,b^8\,c^6\,d^4\,x^2+165\,a^2\,b^8\,c^5\,d^5\,x^3+330\,a^2\,b^8\,c^4\,d^6\,x^4+462\,a^2\,b^8\,c^3\,d^7\,x^5+462\,a^2\,b^8\,c^2\,d^8\,x^6+330\,a^2\,b^8\,c\,d^9\,x^7+165\,a^2\,b^8\,d^{10}\,x^8+a\,b^9\,c^9\,d+11\,a\,b^9\,c^8\,d^2\,x+55\,a\,b^9\,c^7\,d^3\,x^2+165\,a\,b^9\,c^6\,d^4\,x^3+330\,a\,b^9\,c^5\,d^5\,x^4+462\,a\,b^9\,c^4\,d^6\,x^5+462\,a\,b^9\,c^3\,d^7\,x^6+330\,a\,b^9\,c^2\,d^8\,x^7+165\,a\,b^9\,c\,d^9\,x^8+55\,a\,b^9\,d^{10}\,x^9+b^{10}\,c^{10}+11\,b^{10}\,c^9\,d\,x+55\,b^{10}\,c^8\,d^2\,x^2+165\,b^{10}\,c^7\,d^3\,x^3+330\,b^{10}\,c^6\,d^4\,x^4+462\,b^{10}\,c^5\,d^5\,x^5+462\,b^{10}\,c^4\,d^6\,x^6+330\,b^{10}\,c^3\,d^7\,x^7+165\,b^{10}\,c^2\,d^8\,x^8+55\,b^{10}\,c\,d^9\,x^9+11\,b^{10}\,d^{10}\,x^{10}}{11\,a^{11}\,b^{11}+121\,a^{10}\,b^{12}\,x+605\,a^9\,b^{13}\,x^2+1815\,a^8\,b^{14}\,x^3+3630\,a^7\,b^{15}\,x^4+5082\,a^6\,b^{16}\,x^5+5082\,a^5\,b^{17}\,x^6+3630\,a^4\,b^{18}\,x^7+1815\,a^3\,b^{19}\,x^8+605\,a^2\,b^{20}\,x^9+121\,a\,b^{21}\,x^{10}+11\,b^{22}\,x^{11}}","Not used",1,"-(a^10*d^10 + b^10*c^10 + 11*b^10*d^10*x^10 + 55*a*b^9*d^10*x^9 + 55*b^10*c*d^9*x^9 + a^2*b^8*c^8*d^2 + a^3*b^7*c^7*d^3 + a^4*b^6*c^6*d^4 + a^5*b^5*c^5*d^5 + a^6*b^4*c^4*d^6 + a^7*b^3*c^3*d^7 + a^8*b^2*c^2*d^8 + 55*a^8*b^2*d^10*x^2 + 165*a^7*b^3*d^10*x^3 + 330*a^6*b^4*d^10*x^4 + 462*a^5*b^5*d^10*x^5 + 462*a^4*b^6*d^10*x^6 + 330*a^3*b^7*d^10*x^7 + 165*a^2*b^8*d^10*x^8 + 55*b^10*c^8*d^2*x^2 + 165*b^10*c^7*d^3*x^3 + 330*b^10*c^6*d^4*x^4 + 462*b^10*c^5*d^5*x^5 + 462*b^10*c^4*d^6*x^6 + 330*b^10*c^3*d^7*x^7 + 165*b^10*c^2*d^8*x^8 + a*b^9*c^9*d + a^9*b*c*d^9 + 11*a^9*b*d^10*x + 11*b^10*c^9*d*x + 55*a^2*b^8*c^6*d^4*x^2 + 55*a^3*b^7*c^5*d^5*x^2 + 55*a^4*b^6*c^4*d^6*x^2 + 55*a^5*b^5*c^3*d^7*x^2 + 55*a^6*b^4*c^2*d^8*x^2 + 165*a^2*b^8*c^5*d^5*x^3 + 165*a^3*b^7*c^4*d^6*x^3 + 165*a^4*b^6*c^3*d^7*x^3 + 165*a^5*b^5*c^2*d^8*x^3 + 330*a^2*b^8*c^4*d^6*x^4 + 330*a^3*b^7*c^3*d^7*x^4 + 330*a^4*b^6*c^2*d^8*x^4 + 462*a^2*b^8*c^3*d^7*x^5 + 462*a^3*b^7*c^2*d^8*x^5 + 462*a^2*b^8*c^2*d^8*x^6 + 11*a*b^9*c^8*d^2*x + 11*a^8*b^2*c*d^9*x + 165*a*b^9*c*d^9*x^8 + 11*a^2*b^8*c^7*d^3*x + 11*a^3*b^7*c^6*d^4*x + 11*a^4*b^6*c^5*d^5*x + 11*a^5*b^5*c^4*d^6*x + 11*a^6*b^4*c^3*d^7*x + 11*a^7*b^3*c^2*d^8*x + 55*a*b^9*c^7*d^3*x^2 + 55*a^7*b^3*c*d^9*x^2 + 165*a*b^9*c^6*d^4*x^3 + 165*a^6*b^4*c*d^9*x^3 + 330*a*b^9*c^5*d^5*x^4 + 330*a^5*b^5*c*d^9*x^4 + 462*a*b^9*c^4*d^6*x^5 + 462*a^4*b^6*c*d^9*x^5 + 462*a*b^9*c^3*d^7*x^6 + 462*a^3*b^7*c*d^9*x^6 + 330*a*b^9*c^2*d^8*x^7 + 330*a^2*b^8*c*d^9*x^7)/(11*a^11*b^11 + 11*b^22*x^11 + 121*a^10*b^12*x + 121*a*b^21*x^10 + 605*a^9*b^13*x^2 + 1815*a^8*b^14*x^3 + 3630*a^7*b^15*x^4 + 5082*a^6*b^16*x^5 + 5082*a^5*b^17*x^6 + 3630*a^4*b^18*x^7 + 1815*a^3*b^19*x^8 + 605*a^2*b^20*x^9)","B"
1324,1,39,58,0.393839,"\text{Not used}","int((c + d*x)^10/(a + b*x)^13,x)","\frac{{\left(c+d\,x\right)}^{11}\,\left(12\,a\,d-11\,b\,c+b\,d\,x\right)}{132\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^{12}}","Not used",1,"((c + d*x)^11*(12*a*d - 11*b*c + b*d*x))/(132*(a*d - b*c)^2*(a + b*x)^12)","B"
1325,1,1098,89,0.475008,"\text{Not used}","int((c + d*x)^10/(a + b*x)^14,x)","-\frac{a^{10}\,d^{10}+3\,a^9\,b\,c\,d^9+13\,a^9\,b\,d^{10}\,x+6\,a^8\,b^2\,c^2\,d^8+39\,a^8\,b^2\,c\,d^9\,x+78\,a^8\,b^2\,d^{10}\,x^2+10\,a^7\,b^3\,c^3\,d^7+78\,a^7\,b^3\,c^2\,d^8\,x+234\,a^7\,b^3\,c\,d^9\,x^2+286\,a^7\,b^3\,d^{10}\,x^3+15\,a^6\,b^4\,c^4\,d^6+130\,a^6\,b^4\,c^3\,d^7\,x+468\,a^6\,b^4\,c^2\,d^8\,x^2+858\,a^6\,b^4\,c\,d^9\,x^3+715\,a^6\,b^4\,d^{10}\,x^4+21\,a^5\,b^5\,c^5\,d^5+195\,a^5\,b^5\,c^4\,d^6\,x+780\,a^5\,b^5\,c^3\,d^7\,x^2+1716\,a^5\,b^5\,c^2\,d^8\,x^3+2145\,a^5\,b^5\,c\,d^9\,x^4+1287\,a^5\,b^5\,d^{10}\,x^5+28\,a^4\,b^6\,c^6\,d^4+273\,a^4\,b^6\,c^5\,d^5\,x+1170\,a^4\,b^6\,c^4\,d^6\,x^2+2860\,a^4\,b^6\,c^3\,d^7\,x^3+4290\,a^4\,b^6\,c^2\,d^8\,x^4+3861\,a^4\,b^6\,c\,d^9\,x^5+1716\,a^4\,b^6\,d^{10}\,x^6+36\,a^3\,b^7\,c^7\,d^3+364\,a^3\,b^7\,c^6\,d^4\,x+1638\,a^3\,b^7\,c^5\,d^5\,x^2+4290\,a^3\,b^7\,c^4\,d^6\,x^3+7150\,a^3\,b^7\,c^3\,d^7\,x^4+7722\,a^3\,b^7\,c^2\,d^8\,x^5+5148\,a^3\,b^7\,c\,d^9\,x^6+1716\,a^3\,b^7\,d^{10}\,x^7+45\,a^2\,b^8\,c^8\,d^2+468\,a^2\,b^8\,c^7\,d^3\,x+2184\,a^2\,b^8\,c^6\,d^4\,x^2+6006\,a^2\,b^8\,c^5\,d^5\,x^3+10725\,a^2\,b^8\,c^4\,d^6\,x^4+12870\,a^2\,b^8\,c^3\,d^7\,x^5+10296\,a^2\,b^8\,c^2\,d^8\,x^6+5148\,a^2\,b^8\,c\,d^9\,x^7+1287\,a^2\,b^8\,d^{10}\,x^8+55\,a\,b^9\,c^9\,d+585\,a\,b^9\,c^8\,d^2\,x+2808\,a\,b^9\,c^7\,d^3\,x^2+8008\,a\,b^9\,c^6\,d^4\,x^3+15015\,a\,b^9\,c^5\,d^5\,x^4+19305\,a\,b^9\,c^4\,d^6\,x^5+17160\,a\,b^9\,c^3\,d^7\,x^6+10296\,a\,b^9\,c^2\,d^8\,x^7+3861\,a\,b^9\,c\,d^9\,x^8+715\,a\,b^9\,d^{10}\,x^9+66\,b^{10}\,c^{10}+715\,b^{10}\,c^9\,d\,x+3510\,b^{10}\,c^8\,d^2\,x^2+10296\,b^{10}\,c^7\,d^3\,x^3+20020\,b^{10}\,c^6\,d^4\,x^4+27027\,b^{10}\,c^5\,d^5\,x^5+25740\,b^{10}\,c^4\,d^6\,x^6+17160\,b^{10}\,c^3\,d^7\,x^7+7722\,b^{10}\,c^2\,d^8\,x^8+2145\,b^{10}\,c\,d^9\,x^9+286\,b^{10}\,d^{10}\,x^{10}}{858\,a^{13}\,b^{11}+11154\,a^{12}\,b^{12}\,x+66924\,a^{11}\,b^{13}\,x^2+245388\,a^{10}\,b^{14}\,x^3+613470\,a^9\,b^{15}\,x^4+1104246\,a^8\,b^{16}\,x^5+1472328\,a^7\,b^{17}\,x^6+1472328\,a^6\,b^{18}\,x^7+1104246\,a^5\,b^{19}\,x^8+613470\,a^4\,b^{20}\,x^9+245388\,a^3\,b^{21}\,x^{10}+66924\,a^2\,b^{22}\,x^{11}+11154\,a\,b^{23}\,x^{12}+858\,b^{24}\,x^{13}}","Not used",1,"-(a^10*d^10 + 66*b^10*c^10 + 286*b^10*d^10*x^10 + 715*a*b^9*d^10*x^9 + 2145*b^10*c*d^9*x^9 + 45*a^2*b^8*c^8*d^2 + 36*a^3*b^7*c^7*d^3 + 28*a^4*b^6*c^6*d^4 + 21*a^5*b^5*c^5*d^5 + 15*a^6*b^4*c^4*d^6 + 10*a^7*b^3*c^3*d^7 + 6*a^8*b^2*c^2*d^8 + 78*a^8*b^2*d^10*x^2 + 286*a^7*b^3*d^10*x^3 + 715*a^6*b^4*d^10*x^4 + 1287*a^5*b^5*d^10*x^5 + 1716*a^4*b^6*d^10*x^6 + 1716*a^3*b^7*d^10*x^7 + 1287*a^2*b^8*d^10*x^8 + 3510*b^10*c^8*d^2*x^2 + 10296*b^10*c^7*d^3*x^3 + 20020*b^10*c^6*d^4*x^4 + 27027*b^10*c^5*d^5*x^5 + 25740*b^10*c^4*d^6*x^6 + 17160*b^10*c^3*d^7*x^7 + 7722*b^10*c^2*d^8*x^8 + 55*a*b^9*c^9*d + 3*a^9*b*c*d^9 + 13*a^9*b*d^10*x + 715*b^10*c^9*d*x + 2184*a^2*b^8*c^6*d^4*x^2 + 1638*a^3*b^7*c^5*d^5*x^2 + 1170*a^4*b^6*c^4*d^6*x^2 + 780*a^5*b^5*c^3*d^7*x^2 + 468*a^6*b^4*c^2*d^8*x^2 + 6006*a^2*b^8*c^5*d^5*x^3 + 4290*a^3*b^7*c^4*d^6*x^3 + 2860*a^4*b^6*c^3*d^7*x^3 + 1716*a^5*b^5*c^2*d^8*x^3 + 10725*a^2*b^8*c^4*d^6*x^4 + 7150*a^3*b^7*c^3*d^7*x^4 + 4290*a^4*b^6*c^2*d^8*x^4 + 12870*a^2*b^8*c^3*d^7*x^5 + 7722*a^3*b^7*c^2*d^8*x^5 + 10296*a^2*b^8*c^2*d^8*x^6 + 585*a*b^9*c^8*d^2*x + 39*a^8*b^2*c*d^9*x + 3861*a*b^9*c*d^9*x^8 + 468*a^2*b^8*c^7*d^3*x + 364*a^3*b^7*c^6*d^4*x + 273*a^4*b^6*c^5*d^5*x + 195*a^5*b^5*c^4*d^6*x + 130*a^6*b^4*c^3*d^7*x + 78*a^7*b^3*c^2*d^8*x + 2808*a*b^9*c^7*d^3*x^2 + 234*a^7*b^3*c*d^9*x^2 + 8008*a*b^9*c^6*d^4*x^3 + 858*a^6*b^4*c*d^9*x^3 + 15015*a*b^9*c^5*d^5*x^4 + 2145*a^5*b^5*c*d^9*x^4 + 19305*a*b^9*c^4*d^6*x^5 + 3861*a^4*b^6*c*d^9*x^5 + 17160*a*b^9*c^3*d^7*x^6 + 5148*a^3*b^7*c*d^9*x^6 + 10296*a*b^9*c^2*d^8*x^7 + 5148*a^2*b^8*c*d^9*x^7)/(858*a^13*b^11 + 858*b^24*x^13 + 11154*a^12*b^12*x + 11154*a*b^23*x^12 + 66924*a^11*b^13*x^2 + 245388*a^10*b^14*x^3 + 613470*a^9*b^15*x^4 + 1104246*a^8*b^16*x^5 + 1472328*a^7*b^17*x^6 + 1472328*a^6*b^18*x^7 + 1104246*a^5*b^19*x^8 + 613470*a^4*b^20*x^9 + 245388*a^3*b^21*x^10 + 66924*a^2*b^22*x^11)","B"
1326,1,1109,120,1.295160,"\text{Not used}","int((c + d*x)^10/(a + b*x)^15,x)","-\frac{a^{10}\,d^{10}+4\,a^9\,b\,c\,d^9+14\,a^9\,b\,d^{10}\,x+10\,a^8\,b^2\,c^2\,d^8+56\,a^8\,b^2\,c\,d^9\,x+91\,a^8\,b^2\,d^{10}\,x^2+20\,a^7\,b^3\,c^3\,d^7+140\,a^7\,b^3\,c^2\,d^8\,x+364\,a^7\,b^3\,c\,d^9\,x^2+364\,a^7\,b^3\,d^{10}\,x^3+35\,a^6\,b^4\,c^4\,d^6+280\,a^6\,b^4\,c^3\,d^7\,x+910\,a^6\,b^4\,c^2\,d^8\,x^2+1456\,a^6\,b^4\,c\,d^9\,x^3+1001\,a^6\,b^4\,d^{10}\,x^4+56\,a^5\,b^5\,c^5\,d^5+490\,a^5\,b^5\,c^4\,d^6\,x+1820\,a^5\,b^5\,c^3\,d^7\,x^2+3640\,a^5\,b^5\,c^2\,d^8\,x^3+4004\,a^5\,b^5\,c\,d^9\,x^4+2002\,a^5\,b^5\,d^{10}\,x^5+84\,a^4\,b^6\,c^6\,d^4+784\,a^4\,b^6\,c^5\,d^5\,x+3185\,a^4\,b^6\,c^4\,d^6\,x^2+7280\,a^4\,b^6\,c^3\,d^7\,x^3+10010\,a^4\,b^6\,c^2\,d^8\,x^4+8008\,a^4\,b^6\,c\,d^9\,x^5+3003\,a^4\,b^6\,d^{10}\,x^6+120\,a^3\,b^7\,c^7\,d^3+1176\,a^3\,b^7\,c^6\,d^4\,x+5096\,a^3\,b^7\,c^5\,d^5\,x^2+12740\,a^3\,b^7\,c^4\,d^6\,x^3+20020\,a^3\,b^7\,c^3\,d^7\,x^4+20020\,a^3\,b^7\,c^2\,d^8\,x^5+12012\,a^3\,b^7\,c\,d^9\,x^6+3432\,a^3\,b^7\,d^{10}\,x^7+165\,a^2\,b^8\,c^8\,d^2+1680\,a^2\,b^8\,c^7\,d^3\,x+7644\,a^2\,b^8\,c^6\,d^4\,x^2+20384\,a^2\,b^8\,c^5\,d^5\,x^3+35035\,a^2\,b^8\,c^4\,d^6\,x^4+40040\,a^2\,b^8\,c^3\,d^7\,x^5+30030\,a^2\,b^8\,c^2\,d^8\,x^6+13728\,a^2\,b^8\,c\,d^9\,x^7+3003\,a^2\,b^8\,d^{10}\,x^8+220\,a\,b^9\,c^9\,d+2310\,a\,b^9\,c^8\,d^2\,x+10920\,a\,b^9\,c^7\,d^3\,x^2+30576\,a\,b^9\,c^6\,d^4\,x^3+56056\,a\,b^9\,c^5\,d^5\,x^4+70070\,a\,b^9\,c^4\,d^6\,x^5+60060\,a\,b^9\,c^3\,d^7\,x^6+34320\,a\,b^9\,c^2\,d^8\,x^7+12012\,a\,b^9\,c\,d^9\,x^8+2002\,a\,b^9\,d^{10}\,x^9+286\,b^{10}\,c^{10}+3080\,b^{10}\,c^9\,d\,x+15015\,b^{10}\,c^8\,d^2\,x^2+43680\,b^{10}\,c^7\,d^3\,x^3+84084\,b^{10}\,c^6\,d^4\,x^4+112112\,b^{10}\,c^5\,d^5\,x^5+105105\,b^{10}\,c^4\,d^6\,x^6+68640\,b^{10}\,c^3\,d^7\,x^7+30030\,b^{10}\,c^2\,d^8\,x^8+8008\,b^{10}\,c\,d^9\,x^9+1001\,b^{10}\,d^{10}\,x^{10}}{4004\,a^{14}\,b^{11}+56056\,a^{13}\,b^{12}\,x+364364\,a^{12}\,b^{13}\,x^2+1457456\,a^{11}\,b^{14}\,x^3+4008004\,a^{10}\,b^{15}\,x^4+8016008\,a^9\,b^{16}\,x^5+12024012\,a^8\,b^{17}\,x^6+13741728\,a^7\,b^{18}\,x^7+12024012\,a^6\,b^{19}\,x^8+8016008\,a^5\,b^{20}\,x^9+4008004\,a^4\,b^{21}\,x^{10}+1457456\,a^3\,b^{22}\,x^{11}+364364\,a^2\,b^{23}\,x^{12}+56056\,a\,b^{24}\,x^{13}+4004\,b^{25}\,x^{14}}","Not used",1,"-(a^10*d^10 + 286*b^10*c^10 + 1001*b^10*d^10*x^10 + 2002*a*b^9*d^10*x^9 + 8008*b^10*c*d^9*x^9 + 165*a^2*b^8*c^8*d^2 + 120*a^3*b^7*c^7*d^3 + 84*a^4*b^6*c^6*d^4 + 56*a^5*b^5*c^5*d^5 + 35*a^6*b^4*c^4*d^6 + 20*a^7*b^3*c^3*d^7 + 10*a^8*b^2*c^2*d^8 + 91*a^8*b^2*d^10*x^2 + 364*a^7*b^3*d^10*x^3 + 1001*a^6*b^4*d^10*x^4 + 2002*a^5*b^5*d^10*x^5 + 3003*a^4*b^6*d^10*x^6 + 3432*a^3*b^7*d^10*x^7 + 3003*a^2*b^8*d^10*x^8 + 15015*b^10*c^8*d^2*x^2 + 43680*b^10*c^7*d^3*x^3 + 84084*b^10*c^6*d^4*x^4 + 112112*b^10*c^5*d^5*x^5 + 105105*b^10*c^4*d^6*x^6 + 68640*b^10*c^3*d^7*x^7 + 30030*b^10*c^2*d^8*x^8 + 220*a*b^9*c^9*d + 4*a^9*b*c*d^9 + 14*a^9*b*d^10*x + 3080*b^10*c^9*d*x + 7644*a^2*b^8*c^6*d^4*x^2 + 5096*a^3*b^7*c^5*d^5*x^2 + 3185*a^4*b^6*c^4*d^6*x^2 + 1820*a^5*b^5*c^3*d^7*x^2 + 910*a^6*b^4*c^2*d^8*x^2 + 20384*a^2*b^8*c^5*d^5*x^3 + 12740*a^3*b^7*c^4*d^6*x^3 + 7280*a^4*b^6*c^3*d^7*x^3 + 3640*a^5*b^5*c^2*d^8*x^3 + 35035*a^2*b^8*c^4*d^6*x^4 + 20020*a^3*b^7*c^3*d^7*x^4 + 10010*a^4*b^6*c^2*d^8*x^4 + 40040*a^2*b^8*c^3*d^7*x^5 + 20020*a^3*b^7*c^2*d^8*x^5 + 30030*a^2*b^8*c^2*d^8*x^6 + 2310*a*b^9*c^8*d^2*x + 56*a^8*b^2*c*d^9*x + 12012*a*b^9*c*d^9*x^8 + 1680*a^2*b^8*c^7*d^3*x + 1176*a^3*b^7*c^6*d^4*x + 784*a^4*b^6*c^5*d^5*x + 490*a^5*b^5*c^4*d^6*x + 280*a^6*b^4*c^3*d^7*x + 140*a^7*b^3*c^2*d^8*x + 10920*a*b^9*c^7*d^3*x^2 + 364*a^7*b^3*c*d^9*x^2 + 30576*a*b^9*c^6*d^4*x^3 + 1456*a^6*b^4*c*d^9*x^3 + 56056*a*b^9*c^5*d^5*x^4 + 4004*a^5*b^5*c*d^9*x^4 + 70070*a*b^9*c^4*d^6*x^5 + 8008*a^4*b^6*c*d^9*x^5 + 60060*a*b^9*c^3*d^7*x^6 + 12012*a^3*b^7*c*d^9*x^6 + 34320*a*b^9*c^2*d^8*x^7 + 13728*a^2*b^8*c*d^9*x^7)/(4004*a^14*b^11 + 4004*b^25*x^14 + 56056*a^13*b^12*x + 56056*a*b^24*x^13 + 364364*a^12*b^13*x^2 + 1457456*a^11*b^14*x^3 + 4008004*a^10*b^15*x^4 + 8016008*a^9*b^16*x^5 + 12024012*a^8*b^17*x^6 + 13741728*a^7*b^18*x^7 + 12024012*a^6*b^19*x^8 + 8016008*a^5*b^20*x^9 + 4008004*a^4*b^21*x^10 + 1457456*a^3*b^22*x^11 + 364364*a^2*b^23*x^12)","B"
1327,1,1120,151,2.278987,"\text{Not used}","int((c + d*x)^10/(a + b*x)^16,x)","-\frac{a^{10}\,d^{10}+5\,a^9\,b\,c\,d^9+15\,a^9\,b\,d^{10}\,x+15\,a^8\,b^2\,c^2\,d^8+75\,a^8\,b^2\,c\,d^9\,x+105\,a^8\,b^2\,d^{10}\,x^2+35\,a^7\,b^3\,c^3\,d^7+225\,a^7\,b^3\,c^2\,d^8\,x+525\,a^7\,b^3\,c\,d^9\,x^2+455\,a^7\,b^3\,d^{10}\,x^3+70\,a^6\,b^4\,c^4\,d^6+525\,a^6\,b^4\,c^3\,d^7\,x+1575\,a^6\,b^4\,c^2\,d^8\,x^2+2275\,a^6\,b^4\,c\,d^9\,x^3+1365\,a^6\,b^4\,d^{10}\,x^4+126\,a^5\,b^5\,c^5\,d^5+1050\,a^5\,b^5\,c^4\,d^6\,x+3675\,a^5\,b^5\,c^3\,d^7\,x^2+6825\,a^5\,b^5\,c^2\,d^8\,x^3+6825\,a^5\,b^5\,c\,d^9\,x^4+3003\,a^5\,b^5\,d^{10}\,x^5+210\,a^4\,b^6\,c^6\,d^4+1890\,a^4\,b^6\,c^5\,d^5\,x+7350\,a^4\,b^6\,c^4\,d^6\,x^2+15925\,a^4\,b^6\,c^3\,d^7\,x^3+20475\,a^4\,b^6\,c^2\,d^8\,x^4+15015\,a^4\,b^6\,c\,d^9\,x^5+5005\,a^4\,b^6\,d^{10}\,x^6+330\,a^3\,b^7\,c^7\,d^3+3150\,a^3\,b^7\,c^6\,d^4\,x+13230\,a^3\,b^7\,c^5\,d^5\,x^2+31850\,a^3\,b^7\,c^4\,d^6\,x^3+47775\,a^3\,b^7\,c^3\,d^7\,x^4+45045\,a^3\,b^7\,c^2\,d^8\,x^5+25025\,a^3\,b^7\,c\,d^9\,x^6+6435\,a^3\,b^7\,d^{10}\,x^7+495\,a^2\,b^8\,c^8\,d^2+4950\,a^2\,b^8\,c^7\,d^3\,x+22050\,a^2\,b^8\,c^6\,d^4\,x^2+57330\,a^2\,b^8\,c^5\,d^5\,x^3+95550\,a^2\,b^8\,c^4\,d^6\,x^4+105105\,a^2\,b^8\,c^3\,d^7\,x^5+75075\,a^2\,b^8\,c^2\,d^8\,x^6+32175\,a^2\,b^8\,c\,d^9\,x^7+6435\,a^2\,b^8\,d^{10}\,x^8+715\,a\,b^9\,c^9\,d+7425\,a\,b^9\,c^8\,d^2\,x+34650\,a\,b^9\,c^7\,d^3\,x^2+95550\,a\,b^9\,c^6\,d^4\,x^3+171990\,a\,b^9\,c^5\,d^5\,x^4+210210\,a\,b^9\,c^4\,d^6\,x^5+175175\,a\,b^9\,c^3\,d^7\,x^6+96525\,a\,b^9\,c^2\,d^8\,x^7+32175\,a\,b^9\,c\,d^9\,x^8+5005\,a\,b^9\,d^{10}\,x^9+1001\,b^{10}\,c^{10}+10725\,b^{10}\,c^9\,d\,x+51975\,b^{10}\,c^8\,d^2\,x^2+150150\,b^{10}\,c^7\,d^3\,x^3+286650\,b^{10}\,c^6\,d^4\,x^4+378378\,b^{10}\,c^5\,d^5\,x^5+350350\,b^{10}\,c^4\,d^6\,x^6+225225\,b^{10}\,c^3\,d^7\,x^7+96525\,b^{10}\,c^2\,d^8\,x^8+25025\,b^{10}\,c\,d^9\,x^9+3003\,b^{10}\,d^{10}\,x^{10}}{15015\,a^{15}\,b^{11}+225225\,a^{14}\,b^{12}\,x+1576575\,a^{13}\,b^{13}\,x^2+6831825\,a^{12}\,b^{14}\,x^3+20495475\,a^{11}\,b^{15}\,x^4+45090045\,a^{10}\,b^{16}\,x^5+75150075\,a^9\,b^{17}\,x^6+96621525\,a^8\,b^{18}\,x^7+96621525\,a^7\,b^{19}\,x^8+75150075\,a^6\,b^{20}\,x^9+45090045\,a^5\,b^{21}\,x^{10}+20495475\,a^4\,b^{22}\,x^{11}+6831825\,a^3\,b^{23}\,x^{12}+1576575\,a^2\,b^{24}\,x^{13}+225225\,a\,b^{25}\,x^{14}+15015\,b^{26}\,x^{15}}","Not used",1,"-(a^10*d^10 + 1001*b^10*c^10 + 3003*b^10*d^10*x^10 + 5005*a*b^9*d^10*x^9 + 25025*b^10*c*d^9*x^9 + 495*a^2*b^8*c^8*d^2 + 330*a^3*b^7*c^7*d^3 + 210*a^4*b^6*c^6*d^4 + 126*a^5*b^5*c^5*d^5 + 70*a^6*b^4*c^4*d^6 + 35*a^7*b^3*c^3*d^7 + 15*a^8*b^2*c^2*d^8 + 105*a^8*b^2*d^10*x^2 + 455*a^7*b^3*d^10*x^3 + 1365*a^6*b^4*d^10*x^4 + 3003*a^5*b^5*d^10*x^5 + 5005*a^4*b^6*d^10*x^6 + 6435*a^3*b^7*d^10*x^7 + 6435*a^2*b^8*d^10*x^8 + 51975*b^10*c^8*d^2*x^2 + 150150*b^10*c^7*d^3*x^3 + 286650*b^10*c^6*d^4*x^4 + 378378*b^10*c^5*d^5*x^5 + 350350*b^10*c^4*d^6*x^6 + 225225*b^10*c^3*d^7*x^7 + 96525*b^10*c^2*d^8*x^8 + 715*a*b^9*c^9*d + 5*a^9*b*c*d^9 + 15*a^9*b*d^10*x + 10725*b^10*c^9*d*x + 22050*a^2*b^8*c^6*d^4*x^2 + 13230*a^3*b^7*c^5*d^5*x^2 + 7350*a^4*b^6*c^4*d^6*x^2 + 3675*a^5*b^5*c^3*d^7*x^2 + 1575*a^6*b^4*c^2*d^8*x^2 + 57330*a^2*b^8*c^5*d^5*x^3 + 31850*a^3*b^7*c^4*d^6*x^3 + 15925*a^4*b^6*c^3*d^7*x^3 + 6825*a^5*b^5*c^2*d^8*x^3 + 95550*a^2*b^8*c^4*d^6*x^4 + 47775*a^3*b^7*c^3*d^7*x^4 + 20475*a^4*b^6*c^2*d^8*x^4 + 105105*a^2*b^8*c^3*d^7*x^5 + 45045*a^3*b^7*c^2*d^8*x^5 + 75075*a^2*b^8*c^2*d^8*x^6 + 7425*a*b^9*c^8*d^2*x + 75*a^8*b^2*c*d^9*x + 32175*a*b^9*c*d^9*x^8 + 4950*a^2*b^8*c^7*d^3*x + 3150*a^3*b^7*c^6*d^4*x + 1890*a^4*b^6*c^5*d^5*x + 1050*a^5*b^5*c^4*d^6*x + 525*a^6*b^4*c^3*d^7*x + 225*a^7*b^3*c^2*d^8*x + 34650*a*b^9*c^7*d^3*x^2 + 525*a^7*b^3*c*d^9*x^2 + 95550*a*b^9*c^6*d^4*x^3 + 2275*a^6*b^4*c*d^9*x^3 + 171990*a*b^9*c^5*d^5*x^4 + 6825*a^5*b^5*c*d^9*x^4 + 210210*a*b^9*c^4*d^6*x^5 + 15015*a^4*b^6*c*d^9*x^5 + 175175*a*b^9*c^3*d^7*x^6 + 25025*a^3*b^7*c*d^9*x^6 + 96525*a*b^9*c^2*d^8*x^7 + 32175*a^2*b^8*c*d^9*x^7)/(15015*a^15*b^11 + 15015*b^26*x^15 + 225225*a^14*b^12*x + 225225*a*b^25*x^14 + 1576575*a^13*b^13*x^2 + 6831825*a^12*b^14*x^3 + 20495475*a^11*b^15*x^4 + 45090045*a^10*b^16*x^5 + 75150075*a^9*b^17*x^6 + 96621525*a^8*b^18*x^7 + 96621525*a^7*b^19*x^8 + 75150075*a^6*b^20*x^9 + 45090045*a^5*b^21*x^10 + 20495475*a^4*b^22*x^11 + 6831825*a^3*b^23*x^12 + 1576575*a^2*b^24*x^13)","B"
1328,1,1131,182,0.583576,"\text{Not used}","int((c + d*x)^10/(a + b*x)^17,x)","-\frac{a^{10}\,d^{10}+6\,a^9\,b\,c\,d^9+16\,a^9\,b\,d^{10}\,x+21\,a^8\,b^2\,c^2\,d^8+96\,a^8\,b^2\,c\,d^9\,x+120\,a^8\,b^2\,d^{10}\,x^2+56\,a^7\,b^3\,c^3\,d^7+336\,a^7\,b^3\,c^2\,d^8\,x+720\,a^7\,b^3\,c\,d^9\,x^2+560\,a^7\,b^3\,d^{10}\,x^3+126\,a^6\,b^4\,c^4\,d^6+896\,a^6\,b^4\,c^3\,d^7\,x+2520\,a^6\,b^4\,c^2\,d^8\,x^2+3360\,a^6\,b^4\,c\,d^9\,x^3+1820\,a^6\,b^4\,d^{10}\,x^4+252\,a^5\,b^5\,c^5\,d^5+2016\,a^5\,b^5\,c^4\,d^6\,x+6720\,a^5\,b^5\,c^3\,d^7\,x^2+11760\,a^5\,b^5\,c^2\,d^8\,x^3+10920\,a^5\,b^5\,c\,d^9\,x^4+4368\,a^5\,b^5\,d^{10}\,x^5+462\,a^4\,b^6\,c^6\,d^4+4032\,a^4\,b^6\,c^5\,d^5\,x+15120\,a^4\,b^6\,c^4\,d^6\,x^2+31360\,a^4\,b^6\,c^3\,d^7\,x^3+38220\,a^4\,b^6\,c^2\,d^8\,x^4+26208\,a^4\,b^6\,c\,d^9\,x^5+8008\,a^4\,b^6\,d^{10}\,x^6+792\,a^3\,b^7\,c^7\,d^3+7392\,a^3\,b^7\,c^6\,d^4\,x+30240\,a^3\,b^7\,c^5\,d^5\,x^2+70560\,a^3\,b^7\,c^4\,d^6\,x^3+101920\,a^3\,b^7\,c^3\,d^7\,x^4+91728\,a^3\,b^7\,c^2\,d^8\,x^5+48048\,a^3\,b^7\,c\,d^9\,x^6+11440\,a^3\,b^7\,d^{10}\,x^7+1287\,a^2\,b^8\,c^8\,d^2+12672\,a^2\,b^8\,c^7\,d^3\,x+55440\,a^2\,b^8\,c^6\,d^4\,x^2+141120\,a^2\,b^8\,c^5\,d^5\,x^3+229320\,a^2\,b^8\,c^4\,d^6\,x^4+244608\,a^2\,b^8\,c^3\,d^7\,x^5+168168\,a^2\,b^8\,c^2\,d^8\,x^6+68640\,a^2\,b^8\,c\,d^9\,x^7+12870\,a^2\,b^8\,d^{10}\,x^8+2002\,a\,b^9\,c^9\,d+20592\,a\,b^9\,c^8\,d^2\,x+95040\,a\,b^9\,c^7\,d^3\,x^2+258720\,a\,b^9\,c^6\,d^4\,x^3+458640\,a\,b^9\,c^5\,d^5\,x^4+550368\,a\,b^9\,c^4\,d^6\,x^5+448448\,a\,b^9\,c^3\,d^7\,x^6+240240\,a\,b^9\,c^2\,d^8\,x^7+77220\,a\,b^9\,c\,d^9\,x^8+11440\,a\,b^9\,d^{10}\,x^9+3003\,b^{10}\,c^{10}+32032\,b^{10}\,c^9\,d\,x+154440\,b^{10}\,c^8\,d^2\,x^2+443520\,b^{10}\,c^7\,d^3\,x^3+840840\,b^{10}\,c^6\,d^4\,x^4+1100736\,b^{10}\,c^5\,d^5\,x^5+1009008\,b^{10}\,c^4\,d^6\,x^6+640640\,b^{10}\,c^3\,d^7\,x^7+270270\,b^{10}\,c^2\,d^8\,x^8+68640\,b^{10}\,c\,d^9\,x^9+8008\,b^{10}\,d^{10}\,x^{10}}{48048\,a^{16}\,b^{11}+768768\,a^{15}\,b^{12}\,x+5765760\,a^{14}\,b^{13}\,x^2+26906880\,a^{13}\,b^{14}\,x^3+87447360\,a^{12}\,b^{15}\,x^4+209873664\,a^{11}\,b^{16}\,x^5+384768384\,a^{10}\,b^{17}\,x^6+549669120\,a^9\,b^{18}\,x^7+618377760\,a^8\,b^{19}\,x^8+549669120\,a^7\,b^{20}\,x^9+384768384\,a^6\,b^{21}\,x^{10}+209873664\,a^5\,b^{22}\,x^{11}+87447360\,a^4\,b^{23}\,x^{12}+26906880\,a^3\,b^{24}\,x^{13}+5765760\,a^2\,b^{25}\,x^{14}+768768\,a\,b^{26}\,x^{15}+48048\,b^{27}\,x^{16}}","Not used",1,"-(a^10*d^10 + 3003*b^10*c^10 + 8008*b^10*d^10*x^10 + 11440*a*b^9*d^10*x^9 + 68640*b^10*c*d^9*x^9 + 1287*a^2*b^8*c^8*d^2 + 792*a^3*b^7*c^7*d^3 + 462*a^4*b^6*c^6*d^4 + 252*a^5*b^5*c^5*d^5 + 126*a^6*b^4*c^4*d^6 + 56*a^7*b^3*c^3*d^7 + 21*a^8*b^2*c^2*d^8 + 120*a^8*b^2*d^10*x^2 + 560*a^7*b^3*d^10*x^3 + 1820*a^6*b^4*d^10*x^4 + 4368*a^5*b^5*d^10*x^5 + 8008*a^4*b^6*d^10*x^6 + 11440*a^3*b^7*d^10*x^7 + 12870*a^2*b^8*d^10*x^8 + 154440*b^10*c^8*d^2*x^2 + 443520*b^10*c^7*d^3*x^3 + 840840*b^10*c^6*d^4*x^4 + 1100736*b^10*c^5*d^5*x^5 + 1009008*b^10*c^4*d^6*x^6 + 640640*b^10*c^3*d^7*x^7 + 270270*b^10*c^2*d^8*x^8 + 2002*a*b^9*c^9*d + 6*a^9*b*c*d^9 + 16*a^9*b*d^10*x + 32032*b^10*c^9*d*x + 55440*a^2*b^8*c^6*d^4*x^2 + 30240*a^3*b^7*c^5*d^5*x^2 + 15120*a^4*b^6*c^4*d^6*x^2 + 6720*a^5*b^5*c^3*d^7*x^2 + 2520*a^6*b^4*c^2*d^8*x^2 + 141120*a^2*b^8*c^5*d^5*x^3 + 70560*a^3*b^7*c^4*d^6*x^3 + 31360*a^4*b^6*c^3*d^7*x^3 + 11760*a^5*b^5*c^2*d^8*x^3 + 229320*a^2*b^8*c^4*d^6*x^4 + 101920*a^3*b^7*c^3*d^7*x^4 + 38220*a^4*b^6*c^2*d^8*x^4 + 244608*a^2*b^8*c^3*d^7*x^5 + 91728*a^3*b^7*c^2*d^8*x^5 + 168168*a^2*b^8*c^2*d^8*x^6 + 20592*a*b^9*c^8*d^2*x + 96*a^8*b^2*c*d^9*x + 77220*a*b^9*c*d^9*x^8 + 12672*a^2*b^8*c^7*d^3*x + 7392*a^3*b^7*c^6*d^4*x + 4032*a^4*b^6*c^5*d^5*x + 2016*a^5*b^5*c^4*d^6*x + 896*a^6*b^4*c^3*d^7*x + 336*a^7*b^3*c^2*d^8*x + 95040*a*b^9*c^7*d^3*x^2 + 720*a^7*b^3*c*d^9*x^2 + 258720*a*b^9*c^6*d^4*x^3 + 3360*a^6*b^4*c*d^9*x^3 + 458640*a*b^9*c^5*d^5*x^4 + 10920*a^5*b^5*c*d^9*x^4 + 550368*a*b^9*c^4*d^6*x^5 + 26208*a^4*b^6*c*d^9*x^5 + 448448*a*b^9*c^3*d^7*x^6 + 48048*a^3*b^7*c*d^9*x^6 + 240240*a*b^9*c^2*d^8*x^7 + 68640*a^2*b^8*c*d^9*x^7)/(48048*a^16*b^11 + 48048*b^27*x^16 + 768768*a^15*b^12*x + 768768*a*b^26*x^15 + 5765760*a^14*b^13*x^2 + 26906880*a^13*b^14*x^3 + 87447360*a^12*b^15*x^4 + 209873664*a^11*b^16*x^5 + 384768384*a^10*b^17*x^6 + 549669120*a^9*b^18*x^7 + 618377760*a^8*b^19*x^8 + 549669120*a^7*b^20*x^9 + 384768384*a^6*b^21*x^10 + 209873664*a^5*b^22*x^11 + 87447360*a^4*b^23*x^12 + 26906880*a^3*b^24*x^13 + 5765760*a^2*b^25*x^14)","B"
1329,1,1142,213,0.658365,"\text{Not used}","int((c + d*x)^10/(a + b*x)^18,x)","-\frac{a^{10}\,d^{10}+7\,a^9\,b\,c\,d^9+17\,a^9\,b\,d^{10}\,x+28\,a^8\,b^2\,c^2\,d^8+119\,a^8\,b^2\,c\,d^9\,x+136\,a^8\,b^2\,d^{10}\,x^2+84\,a^7\,b^3\,c^3\,d^7+476\,a^7\,b^3\,c^2\,d^8\,x+952\,a^7\,b^3\,c\,d^9\,x^2+680\,a^7\,b^3\,d^{10}\,x^3+210\,a^6\,b^4\,c^4\,d^6+1428\,a^6\,b^4\,c^3\,d^7\,x+3808\,a^6\,b^4\,c^2\,d^8\,x^2+4760\,a^6\,b^4\,c\,d^9\,x^3+2380\,a^6\,b^4\,d^{10}\,x^4+462\,a^5\,b^5\,c^5\,d^5+3570\,a^5\,b^5\,c^4\,d^6\,x+11424\,a^5\,b^5\,c^3\,d^7\,x^2+19040\,a^5\,b^5\,c^2\,d^8\,x^3+16660\,a^5\,b^5\,c\,d^9\,x^4+6188\,a^5\,b^5\,d^{10}\,x^5+924\,a^4\,b^6\,c^6\,d^4+7854\,a^4\,b^6\,c^5\,d^5\,x+28560\,a^4\,b^6\,c^4\,d^6\,x^2+57120\,a^4\,b^6\,c^3\,d^7\,x^3+66640\,a^4\,b^6\,c^2\,d^8\,x^4+43316\,a^4\,b^6\,c\,d^9\,x^5+12376\,a^4\,b^6\,d^{10}\,x^6+1716\,a^3\,b^7\,c^7\,d^3+15708\,a^3\,b^7\,c^6\,d^4\,x+62832\,a^3\,b^7\,c^5\,d^5\,x^2+142800\,a^3\,b^7\,c^4\,d^6\,x^3+199920\,a^3\,b^7\,c^3\,d^7\,x^4+173264\,a^3\,b^7\,c^2\,d^8\,x^5+86632\,a^3\,b^7\,c\,d^9\,x^6+19448\,a^3\,b^7\,d^{10}\,x^7+3003\,a^2\,b^8\,c^8\,d^2+29172\,a^2\,b^8\,c^7\,d^3\,x+125664\,a^2\,b^8\,c^6\,d^4\,x^2+314160\,a^2\,b^8\,c^5\,d^5\,x^3+499800\,a^2\,b^8\,c^4\,d^6\,x^4+519792\,a^2\,b^8\,c^3\,d^7\,x^5+346528\,a^2\,b^8\,c^2\,d^8\,x^6+136136\,a^2\,b^8\,c\,d^9\,x^7+24310\,a^2\,b^8\,d^{10}\,x^8+5005\,a\,b^9\,c^9\,d+51051\,a\,b^9\,c^8\,d^2\,x+233376\,a\,b^9\,c^7\,d^3\,x^2+628320\,a\,b^9\,c^6\,d^4\,x^3+1099560\,a\,b^9\,c^5\,d^5\,x^4+1299480\,a\,b^9\,c^4\,d^6\,x^5+1039584\,a\,b^9\,c^3\,d^7\,x^6+544544\,a\,b^9\,c^2\,d^8\,x^7+170170\,a\,b^9\,c\,d^9\,x^8+24310\,a\,b^9\,d^{10}\,x^9+8008\,b^{10}\,c^{10}+85085\,b^{10}\,c^9\,d\,x+408408\,b^{10}\,c^8\,d^2\,x^2+1166880\,b^{10}\,c^7\,d^3\,x^3+2199120\,b^{10}\,c^6\,d^4\,x^4+2858856\,b^{10}\,c^5\,d^5\,x^5+2598960\,b^{10}\,c^4\,d^6\,x^6+1633632\,b^{10}\,c^3\,d^7\,x^7+680680\,b^{10}\,c^2\,d^8\,x^8+170170\,b^{10}\,c\,d^9\,x^9+19448\,b^{10}\,d^{10}\,x^{10}}{136136\,a^{17}\,b^{11}+2314312\,a^{16}\,b^{12}\,x+18514496\,a^{15}\,b^{13}\,x^2+92572480\,a^{14}\,b^{14}\,x^3+324003680\,a^{13}\,b^{15}\,x^4+842409568\,a^{12}\,b^{16}\,x^5+1684819136\,a^{11}\,b^{17}\,x^6+2647572928\,a^{10}\,b^{18}\,x^7+3309466160\,a^9\,b^{19}\,x^8+3309466160\,a^8\,b^{20}\,x^9+2647572928\,a^7\,b^{21}\,x^{10}+1684819136\,a^6\,b^{22}\,x^{11}+842409568\,a^5\,b^{23}\,x^{12}+324003680\,a^4\,b^{24}\,x^{13}+92572480\,a^3\,b^{25}\,x^{14}+18514496\,a^2\,b^{26}\,x^{15}+2314312\,a\,b^{27}\,x^{16}+136136\,b^{28}\,x^{17}}","Not used",1,"-(a^10*d^10 + 8008*b^10*c^10 + 19448*b^10*d^10*x^10 + 24310*a*b^9*d^10*x^9 + 170170*b^10*c*d^9*x^9 + 3003*a^2*b^8*c^8*d^2 + 1716*a^3*b^7*c^7*d^3 + 924*a^4*b^6*c^6*d^4 + 462*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 + 84*a^7*b^3*c^3*d^7 + 28*a^8*b^2*c^2*d^8 + 136*a^8*b^2*d^10*x^2 + 680*a^7*b^3*d^10*x^3 + 2380*a^6*b^4*d^10*x^4 + 6188*a^5*b^5*d^10*x^5 + 12376*a^4*b^6*d^10*x^6 + 19448*a^3*b^7*d^10*x^7 + 24310*a^2*b^8*d^10*x^8 + 408408*b^10*c^8*d^2*x^2 + 1166880*b^10*c^7*d^3*x^3 + 2199120*b^10*c^6*d^4*x^4 + 2858856*b^10*c^5*d^5*x^5 + 2598960*b^10*c^4*d^6*x^6 + 1633632*b^10*c^3*d^7*x^7 + 680680*b^10*c^2*d^8*x^8 + 5005*a*b^9*c^9*d + 7*a^9*b*c*d^9 + 17*a^9*b*d^10*x + 85085*b^10*c^9*d*x + 125664*a^2*b^8*c^6*d^4*x^2 + 62832*a^3*b^7*c^5*d^5*x^2 + 28560*a^4*b^6*c^4*d^6*x^2 + 11424*a^5*b^5*c^3*d^7*x^2 + 3808*a^6*b^4*c^2*d^8*x^2 + 314160*a^2*b^8*c^5*d^5*x^3 + 142800*a^3*b^7*c^4*d^6*x^3 + 57120*a^4*b^6*c^3*d^7*x^3 + 19040*a^5*b^5*c^2*d^8*x^3 + 499800*a^2*b^8*c^4*d^6*x^4 + 199920*a^3*b^7*c^3*d^7*x^4 + 66640*a^4*b^6*c^2*d^8*x^4 + 519792*a^2*b^8*c^3*d^7*x^5 + 173264*a^3*b^7*c^2*d^8*x^5 + 346528*a^2*b^8*c^2*d^8*x^6 + 51051*a*b^9*c^8*d^2*x + 119*a^8*b^2*c*d^9*x + 170170*a*b^9*c*d^9*x^8 + 29172*a^2*b^8*c^7*d^3*x + 15708*a^3*b^7*c^6*d^4*x + 7854*a^4*b^6*c^5*d^5*x + 3570*a^5*b^5*c^4*d^6*x + 1428*a^6*b^4*c^3*d^7*x + 476*a^7*b^3*c^2*d^8*x + 233376*a*b^9*c^7*d^3*x^2 + 952*a^7*b^3*c*d^9*x^2 + 628320*a*b^9*c^6*d^4*x^3 + 4760*a^6*b^4*c*d^9*x^3 + 1099560*a*b^9*c^5*d^5*x^4 + 16660*a^5*b^5*c*d^9*x^4 + 1299480*a*b^9*c^4*d^6*x^5 + 43316*a^4*b^6*c*d^9*x^5 + 1039584*a*b^9*c^3*d^7*x^6 + 86632*a^3*b^7*c*d^9*x^6 + 544544*a*b^9*c^2*d^8*x^7 + 136136*a^2*b^8*c*d^9*x^7)/(136136*a^17*b^11 + 136136*b^28*x^17 + 2314312*a^16*b^12*x + 2314312*a*b^27*x^16 + 18514496*a^15*b^13*x^2 + 92572480*a^14*b^14*x^3 + 324003680*a^13*b^15*x^4 + 842409568*a^12*b^16*x^5 + 1684819136*a^11*b^17*x^6 + 2647572928*a^10*b^18*x^7 + 3309466160*a^9*b^19*x^8 + 3309466160*a^8*b^20*x^9 + 2647572928*a^7*b^21*x^10 + 1684819136*a^6*b^22*x^11 + 842409568*a^5*b^23*x^12 + 324003680*a^4*b^24*x^13 + 92572480*a^3*b^25*x^14 + 18514496*a^2*b^26*x^15)","B"
1330,1,1153,244,12.019787,"\text{Not used}","int((c + d*x)^10/(a + b*x)^19,x)","-\frac{a^{10}\,d^{10}+8\,a^9\,b\,c\,d^9+18\,a^9\,b\,d^{10}\,x+36\,a^8\,b^2\,c^2\,d^8+144\,a^8\,b^2\,c\,d^9\,x+153\,a^8\,b^2\,d^{10}\,x^2+120\,a^7\,b^3\,c^3\,d^7+648\,a^7\,b^3\,c^2\,d^8\,x+1224\,a^7\,b^3\,c\,d^9\,x^2+816\,a^7\,b^3\,d^{10}\,x^3+330\,a^6\,b^4\,c^4\,d^6+2160\,a^6\,b^4\,c^3\,d^7\,x+5508\,a^6\,b^4\,c^2\,d^8\,x^2+6528\,a^6\,b^4\,c\,d^9\,x^3+3060\,a^6\,b^4\,d^{10}\,x^4+792\,a^5\,b^5\,c^5\,d^5+5940\,a^5\,b^5\,c^4\,d^6\,x+18360\,a^5\,b^5\,c^3\,d^7\,x^2+29376\,a^5\,b^5\,c^2\,d^8\,x^3+24480\,a^5\,b^5\,c\,d^9\,x^4+8568\,a^5\,b^5\,d^{10}\,x^5+1716\,a^4\,b^6\,c^6\,d^4+14256\,a^4\,b^6\,c^5\,d^5\,x+50490\,a^4\,b^6\,c^4\,d^6\,x^2+97920\,a^4\,b^6\,c^3\,d^7\,x^3+110160\,a^4\,b^6\,c^2\,d^8\,x^4+68544\,a^4\,b^6\,c\,d^9\,x^5+18564\,a^4\,b^6\,d^{10}\,x^6+3432\,a^3\,b^7\,c^7\,d^3+30888\,a^3\,b^7\,c^6\,d^4\,x+121176\,a^3\,b^7\,c^5\,d^5\,x^2+269280\,a^3\,b^7\,c^4\,d^6\,x^3+367200\,a^3\,b^7\,c^3\,d^7\,x^4+308448\,a^3\,b^7\,c^2\,d^8\,x^5+148512\,a^3\,b^7\,c\,d^9\,x^6+31824\,a^3\,b^7\,d^{10}\,x^7+6435\,a^2\,b^8\,c^8\,d^2+61776\,a^2\,b^8\,c^7\,d^3\,x+262548\,a^2\,b^8\,c^6\,d^4\,x^2+646272\,a^2\,b^8\,c^5\,d^5\,x^3+1009800\,a^2\,b^8\,c^4\,d^6\,x^4+1028160\,a^2\,b^8\,c^3\,d^7\,x^5+668304\,a^2\,b^8\,c^2\,d^8\,x^6+254592\,a^2\,b^8\,c\,d^9\,x^7+43758\,a^2\,b^8\,d^{10}\,x^8+11440\,a\,b^9\,c^9\,d+115830\,a\,b^9\,c^8\,d^2\,x+525096\,a\,b^9\,c^7\,d^3\,x^2+1400256\,a\,b^9\,c^6\,d^4\,x^3+2423520\,a\,b^9\,c^5\,d^5\,x^4+2827440\,a\,b^9\,c^4\,d^6\,x^5+2227680\,a\,b^9\,c^3\,d^7\,x^6+1145664\,a\,b^9\,c^2\,d^8\,x^7+350064\,a\,b^9\,c\,d^9\,x^8+48620\,a\,b^9\,d^{10}\,x^9+19448\,b^{10}\,c^{10}+205920\,b^{10}\,c^9\,d\,x+984555\,b^{10}\,c^8\,d^2\,x^2+2800512\,b^{10}\,c^7\,d^3\,x^3+5250960\,b^{10}\,c^6\,d^4\,x^4+6785856\,b^{10}\,c^5\,d^5\,x^5+6126120\,b^{10}\,c^4\,d^6\,x^6+3818880\,b^{10}\,c^3\,d^7\,x^7+1575288\,b^{10}\,c^2\,d^8\,x^8+388960\,b^{10}\,c\,d^9\,x^9+43758\,b^{10}\,d^{10}\,x^{10}}{350064\,a^{18}\,b^{11}+6301152\,a^{17}\,b^{12}\,x+53559792\,a^{16}\,b^{13}\,x^2+285652224\,a^{15}\,b^{14}\,x^3+1071195840\,a^{14}\,b^{15}\,x^4+2999348352\,a^{13}\,b^{16}\,x^5+6498588096\,a^{12}\,b^{17}\,x^6+11140436736\,a^{11}\,b^{18}\,x^7+15318100512\,a^{10}\,b^{19}\,x^8+17020111680\,a^9\,b^{20}\,x^9+15318100512\,a^8\,b^{21}\,x^{10}+11140436736\,a^7\,b^{22}\,x^{11}+6498588096\,a^6\,b^{23}\,x^{12}+2999348352\,a^5\,b^{24}\,x^{13}+1071195840\,a^4\,b^{25}\,x^{14}+285652224\,a^3\,b^{26}\,x^{15}+53559792\,a^2\,b^{27}\,x^{16}+6301152\,a\,b^{28}\,x^{17}+350064\,b^{29}\,x^{18}}","Not used",1,"-(a^10*d^10 + 19448*b^10*c^10 + 43758*b^10*d^10*x^10 + 48620*a*b^9*d^10*x^9 + 388960*b^10*c*d^9*x^9 + 6435*a^2*b^8*c^8*d^2 + 3432*a^3*b^7*c^7*d^3 + 1716*a^4*b^6*c^6*d^4 + 792*a^5*b^5*c^5*d^5 + 330*a^6*b^4*c^4*d^6 + 120*a^7*b^3*c^3*d^7 + 36*a^8*b^2*c^2*d^8 + 153*a^8*b^2*d^10*x^2 + 816*a^7*b^3*d^10*x^3 + 3060*a^6*b^4*d^10*x^4 + 8568*a^5*b^5*d^10*x^5 + 18564*a^4*b^6*d^10*x^6 + 31824*a^3*b^7*d^10*x^7 + 43758*a^2*b^8*d^10*x^8 + 984555*b^10*c^8*d^2*x^2 + 2800512*b^10*c^7*d^3*x^3 + 5250960*b^10*c^6*d^4*x^4 + 6785856*b^10*c^5*d^5*x^5 + 6126120*b^10*c^4*d^6*x^6 + 3818880*b^10*c^3*d^7*x^7 + 1575288*b^10*c^2*d^8*x^8 + 11440*a*b^9*c^9*d + 8*a^9*b*c*d^9 + 18*a^9*b*d^10*x + 205920*b^10*c^9*d*x + 262548*a^2*b^8*c^6*d^4*x^2 + 121176*a^3*b^7*c^5*d^5*x^2 + 50490*a^4*b^6*c^4*d^6*x^2 + 18360*a^5*b^5*c^3*d^7*x^2 + 5508*a^6*b^4*c^2*d^8*x^2 + 646272*a^2*b^8*c^5*d^5*x^3 + 269280*a^3*b^7*c^4*d^6*x^3 + 97920*a^4*b^6*c^3*d^7*x^3 + 29376*a^5*b^5*c^2*d^8*x^3 + 1009800*a^2*b^8*c^4*d^6*x^4 + 367200*a^3*b^7*c^3*d^7*x^4 + 110160*a^4*b^6*c^2*d^8*x^4 + 1028160*a^2*b^8*c^3*d^7*x^5 + 308448*a^3*b^7*c^2*d^8*x^5 + 668304*a^2*b^8*c^2*d^8*x^6 + 115830*a*b^9*c^8*d^2*x + 144*a^8*b^2*c*d^9*x + 350064*a*b^9*c*d^9*x^8 + 61776*a^2*b^8*c^7*d^3*x + 30888*a^3*b^7*c^6*d^4*x + 14256*a^4*b^6*c^5*d^5*x + 5940*a^5*b^5*c^4*d^6*x + 2160*a^6*b^4*c^3*d^7*x + 648*a^7*b^3*c^2*d^8*x + 525096*a*b^9*c^7*d^3*x^2 + 1224*a^7*b^3*c*d^9*x^2 + 1400256*a*b^9*c^6*d^4*x^3 + 6528*a^6*b^4*c*d^9*x^3 + 2423520*a*b^9*c^5*d^5*x^4 + 24480*a^5*b^5*c*d^9*x^4 + 2827440*a*b^9*c^4*d^6*x^5 + 68544*a^4*b^6*c*d^9*x^5 + 2227680*a*b^9*c^3*d^7*x^6 + 148512*a^3*b^7*c*d^9*x^6 + 1145664*a*b^9*c^2*d^8*x^7 + 254592*a^2*b^8*c*d^9*x^7)/(350064*a^18*b^11 + 350064*b^29*x^18 + 6301152*a^17*b^12*x + 6301152*a*b^28*x^17 + 53559792*a^16*b^13*x^2 + 285652224*a^15*b^14*x^3 + 1071195840*a^14*b^15*x^4 + 2999348352*a^13*b^16*x^5 + 6498588096*a^12*b^17*x^6 + 11140436736*a^11*b^18*x^7 + 15318100512*a^10*b^19*x^8 + 17020111680*a^9*b^20*x^9 + 15318100512*a^8*b^21*x^10 + 11140436736*a^7*b^22*x^11 + 6498588096*a^6*b^23*x^12 + 2999348352*a^5*b^24*x^13 + 1071195840*a^4*b^25*x^14 + 285652224*a^3*b^26*x^15 + 53559792*a^2*b^27*x^16)","B"
1331,1,1164,273,25.721106,"\text{Not used}","int((c + d*x)^10/(a + b*x)^20,x)","-\frac{a^{10}\,d^{10}+9\,a^9\,b\,c\,d^9+19\,a^9\,b\,d^{10}\,x+45\,a^8\,b^2\,c^2\,d^8+171\,a^8\,b^2\,c\,d^9\,x+171\,a^8\,b^2\,d^{10}\,x^2+165\,a^7\,b^3\,c^3\,d^7+855\,a^7\,b^3\,c^2\,d^8\,x+1539\,a^7\,b^3\,c\,d^9\,x^2+969\,a^7\,b^3\,d^{10}\,x^3+495\,a^6\,b^4\,c^4\,d^6+3135\,a^6\,b^4\,c^3\,d^7\,x+7695\,a^6\,b^4\,c^2\,d^8\,x^2+8721\,a^6\,b^4\,c\,d^9\,x^3+3876\,a^6\,b^4\,d^{10}\,x^4+1287\,a^5\,b^5\,c^5\,d^5+9405\,a^5\,b^5\,c^4\,d^6\,x+28215\,a^5\,b^5\,c^3\,d^7\,x^2+43605\,a^5\,b^5\,c^2\,d^8\,x^3+34884\,a^5\,b^5\,c\,d^9\,x^4+11628\,a^5\,b^5\,d^{10}\,x^5+3003\,a^4\,b^6\,c^6\,d^4+24453\,a^4\,b^6\,c^5\,d^5\,x+84645\,a^4\,b^6\,c^4\,d^6\,x^2+159885\,a^4\,b^6\,c^3\,d^7\,x^3+174420\,a^4\,b^6\,c^2\,d^8\,x^4+104652\,a^4\,b^6\,c\,d^9\,x^5+27132\,a^4\,b^6\,d^{10}\,x^6+6435\,a^3\,b^7\,c^7\,d^3+57057\,a^3\,b^7\,c^6\,d^4\,x+220077\,a^3\,b^7\,c^5\,d^5\,x^2+479655\,a^3\,b^7\,c^4\,d^6\,x^3+639540\,a^3\,b^7\,c^3\,d^7\,x^4+523260\,a^3\,b^7\,c^2\,d^8\,x^5+244188\,a^3\,b^7\,c\,d^9\,x^6+50388\,a^3\,b^7\,d^{10}\,x^7+12870\,a^2\,b^8\,c^8\,d^2+122265\,a^2\,b^8\,c^7\,d^3\,x+513513\,a^2\,b^8\,c^6\,d^4\,x^2+1247103\,a^2\,b^8\,c^5\,d^5\,x^3+1918620\,a^2\,b^8\,c^4\,d^6\,x^4+1918620\,a^2\,b^8\,c^3\,d^7\,x^5+1220940\,a^2\,b^8\,c^2\,d^8\,x^6+453492\,a^2\,b^8\,c\,d^9\,x^7+75582\,a^2\,b^8\,d^{10}\,x^8+24310\,a\,b^9\,c^9\,d+244530\,a\,b^9\,c^8\,d^2\,x+1100385\,a\,b^9\,c^7\,d^3\,x^2+2909907\,a\,b^9\,c^6\,d^4\,x^3+4988412\,a\,b^9\,c^5\,d^5\,x^4+5755860\,a\,b^9\,c^4\,d^6\,x^5+4476780\,a\,b^9\,c^3\,d^7\,x^6+2267460\,a\,b^9\,c^2\,d^8\,x^7+680238\,a\,b^9\,c\,d^9\,x^8+92378\,a\,b^9\,d^{10}\,x^9+43758\,b^{10}\,c^{10}+461890\,b^{10}\,c^9\,d\,x+2200770\,b^{10}\,c^8\,d^2\,x^2+6235515\,b^{10}\,c^7\,d^3\,x^3+11639628\,b^{10}\,c^6\,d^4\,x^4+14965236\,b^{10}\,c^5\,d^5\,x^5+13430340\,b^{10}\,c^4\,d^6\,x^6+8314020\,b^{10}\,c^3\,d^7\,x^7+3401190\,b^{10}\,c^2\,d^8\,x^8+831402\,b^{10}\,c\,d^9\,x^9+92378\,b^{10}\,d^{10}\,x^{10}}{831402\,a^{19}\,b^{11}+15796638\,a^{18}\,b^{12}\,x+142169742\,a^{17}\,b^{13}\,x^2+805628538\,a^{16}\,b^{14}\,x^3+3222514152\,a^{15}\,b^{15}\,x^4+9667542456\,a^{14}\,b^{16}\,x^5+22557599064\,a^{13}\,b^{17}\,x^6+41892683976\,a^{12}\,b^{18}\,x^7+62839025964\,a^{11}\,b^{19}\,x^8+76803253956\,a^{10}\,b^{20}\,x^9+76803253956\,a^9\,b^{21}\,x^{10}+62839025964\,a^8\,b^{22}\,x^{11}+41892683976\,a^7\,b^{23}\,x^{12}+22557599064\,a^6\,b^{24}\,x^{13}+9667542456\,a^5\,b^{25}\,x^{14}+3222514152\,a^4\,b^{26}\,x^{15}+805628538\,a^3\,b^{27}\,x^{16}+142169742\,a^2\,b^{28}\,x^{17}+15796638\,a\,b^{29}\,x^{18}+831402\,b^{30}\,x^{19}}","Not used",1,"-(a^10*d^10 + 43758*b^10*c^10 + 92378*b^10*d^10*x^10 + 92378*a*b^9*d^10*x^9 + 831402*b^10*c*d^9*x^9 + 12870*a^2*b^8*c^8*d^2 + 6435*a^3*b^7*c^7*d^3 + 3003*a^4*b^6*c^6*d^4 + 1287*a^5*b^5*c^5*d^5 + 495*a^6*b^4*c^4*d^6 + 165*a^7*b^3*c^3*d^7 + 45*a^8*b^2*c^2*d^8 + 171*a^8*b^2*d^10*x^2 + 969*a^7*b^3*d^10*x^3 + 3876*a^6*b^4*d^10*x^4 + 11628*a^5*b^5*d^10*x^5 + 27132*a^4*b^6*d^10*x^6 + 50388*a^3*b^7*d^10*x^7 + 75582*a^2*b^8*d^10*x^8 + 2200770*b^10*c^8*d^2*x^2 + 6235515*b^10*c^7*d^3*x^3 + 11639628*b^10*c^6*d^4*x^4 + 14965236*b^10*c^5*d^5*x^5 + 13430340*b^10*c^4*d^6*x^6 + 8314020*b^10*c^3*d^7*x^7 + 3401190*b^10*c^2*d^8*x^8 + 24310*a*b^9*c^9*d + 9*a^9*b*c*d^9 + 19*a^9*b*d^10*x + 461890*b^10*c^9*d*x + 513513*a^2*b^8*c^6*d^4*x^2 + 220077*a^3*b^7*c^5*d^5*x^2 + 84645*a^4*b^6*c^4*d^6*x^2 + 28215*a^5*b^5*c^3*d^7*x^2 + 7695*a^6*b^4*c^2*d^8*x^2 + 1247103*a^2*b^8*c^5*d^5*x^3 + 479655*a^3*b^7*c^4*d^6*x^3 + 159885*a^4*b^6*c^3*d^7*x^3 + 43605*a^5*b^5*c^2*d^8*x^3 + 1918620*a^2*b^8*c^4*d^6*x^4 + 639540*a^3*b^7*c^3*d^7*x^4 + 174420*a^4*b^6*c^2*d^8*x^4 + 1918620*a^2*b^8*c^3*d^7*x^5 + 523260*a^3*b^7*c^2*d^8*x^5 + 1220940*a^2*b^8*c^2*d^8*x^6 + 244530*a*b^9*c^8*d^2*x + 171*a^8*b^2*c*d^9*x + 680238*a*b^9*c*d^9*x^8 + 122265*a^2*b^8*c^7*d^3*x + 57057*a^3*b^7*c^6*d^4*x + 24453*a^4*b^6*c^5*d^5*x + 9405*a^5*b^5*c^4*d^6*x + 3135*a^6*b^4*c^3*d^7*x + 855*a^7*b^3*c^2*d^8*x + 1100385*a*b^9*c^7*d^3*x^2 + 1539*a^7*b^3*c*d^9*x^2 + 2909907*a*b^9*c^6*d^4*x^3 + 8721*a^6*b^4*c*d^9*x^3 + 4988412*a*b^9*c^5*d^5*x^4 + 34884*a^5*b^5*c*d^9*x^4 + 5755860*a*b^9*c^4*d^6*x^5 + 104652*a^4*b^6*c*d^9*x^5 + 4476780*a*b^9*c^3*d^7*x^6 + 244188*a^3*b^7*c*d^9*x^6 + 2267460*a*b^9*c^2*d^8*x^7 + 453492*a^2*b^8*c*d^9*x^7)/(831402*a^19*b^11 + 831402*b^30*x^19 + 15796638*a^18*b^12*x + 15796638*a*b^29*x^18 + 142169742*a^17*b^13*x^2 + 805628538*a^16*b^14*x^3 + 3222514152*a^15*b^15*x^4 + 9667542456*a^14*b^16*x^5 + 22557599064*a^13*b^17*x^6 + 41892683976*a^12*b^18*x^7 + 62839025964*a^11*b^19*x^8 + 76803253956*a^10*b^20*x^9 + 76803253956*a^9*b^21*x^10 + 62839025964*a^8*b^22*x^11 + 41892683976*a^7*b^23*x^12 + 22557599064*a^6*b^24*x^13 + 9667542456*a^5*b^25*x^14 + 3222514152*a^4*b^26*x^15 + 805628538*a^3*b^27*x^16 + 142169742*a^2*b^28*x^17)","B"
1332,1,1175,279,0.799063,"\text{Not used}","int((c + d*x)^10/(a + b*x)^21,x)","-\frac{a^{10}\,d^{10}+10\,a^9\,b\,c\,d^9+20\,a^9\,b\,d^{10}\,x+55\,a^8\,b^2\,c^2\,d^8+200\,a^8\,b^2\,c\,d^9\,x+190\,a^8\,b^2\,d^{10}\,x^2+220\,a^7\,b^3\,c^3\,d^7+1100\,a^7\,b^3\,c^2\,d^8\,x+1900\,a^7\,b^3\,c\,d^9\,x^2+1140\,a^7\,b^3\,d^{10}\,x^3+715\,a^6\,b^4\,c^4\,d^6+4400\,a^6\,b^4\,c^3\,d^7\,x+10450\,a^6\,b^4\,c^2\,d^8\,x^2+11400\,a^6\,b^4\,c\,d^9\,x^3+4845\,a^6\,b^4\,d^{10}\,x^4+2002\,a^5\,b^5\,c^5\,d^5+14300\,a^5\,b^5\,c^4\,d^6\,x+41800\,a^5\,b^5\,c^3\,d^7\,x^2+62700\,a^5\,b^5\,c^2\,d^8\,x^3+48450\,a^5\,b^5\,c\,d^9\,x^4+15504\,a^5\,b^5\,d^{10}\,x^5+5005\,a^4\,b^6\,c^6\,d^4+40040\,a^4\,b^6\,c^5\,d^5\,x+135850\,a^4\,b^6\,c^4\,d^6\,x^2+250800\,a^4\,b^6\,c^3\,d^7\,x^3+266475\,a^4\,b^6\,c^2\,d^8\,x^4+155040\,a^4\,b^6\,c\,d^9\,x^5+38760\,a^4\,b^6\,d^{10}\,x^6+11440\,a^3\,b^7\,c^7\,d^3+100100\,a^3\,b^7\,c^6\,d^4\,x+380380\,a^3\,b^7\,c^5\,d^5\,x^2+815100\,a^3\,b^7\,c^4\,d^6\,x^3+1065900\,a^3\,b^7\,c^3\,d^7\,x^4+852720\,a^3\,b^7\,c^2\,d^8\,x^5+387600\,a^3\,b^7\,c\,d^9\,x^6+77520\,a^3\,b^7\,d^{10}\,x^7+24310\,a^2\,b^8\,c^8\,d^2+228800\,a^2\,b^8\,c^7\,d^3\,x+950950\,a^2\,b^8\,c^6\,d^4\,x^2+2282280\,a^2\,b^8\,c^5\,d^5\,x^3+3464175\,a^2\,b^8\,c^4\,d^6\,x^4+3410880\,a^2\,b^8\,c^3\,d^7\,x^5+2131800\,a^2\,b^8\,c^2\,d^8\,x^6+775200\,a^2\,b^8\,c\,d^9\,x^7+125970\,a^2\,b^8\,d^{10}\,x^8+48620\,a\,b^9\,c^9\,d+486200\,a\,b^9\,c^8\,d^2\,x+2173600\,a\,b^9\,c^7\,d^3\,x^2+5705700\,a\,b^9\,c^6\,d^4\,x^3+9699690\,a\,b^9\,c^5\,d^5\,x^4+11085360\,a\,b^9\,c^4\,d^6\,x^5+8527200\,a\,b^9\,c^3\,d^7\,x^6+4263600\,a\,b^9\,c^2\,d^8\,x^7+1259700\,a\,b^9\,c\,d^9\,x^8+167960\,a\,b^9\,d^{10}\,x^9+92378\,b^{10}\,c^{10}+972400\,b^{10}\,c^9\,d\,x+4618900\,b^{10}\,c^8\,d^2\,x^2+13041600\,b^{10}\,c^7\,d^3\,x^3+24249225\,b^{10}\,c^6\,d^4\,x^4+31039008\,b^{10}\,c^5\,d^5\,x^5+27713400\,b^{10}\,c^4\,d^6\,x^6+17054400\,b^{10}\,c^3\,d^7\,x^7+6928350\,b^{10}\,c^2\,d^8\,x^8+1679600\,b^{10}\,c\,d^9\,x^9+184756\,b^{10}\,d^{10}\,x^{10}}{1847560\,a^{20}\,b^{11}+36951200\,a^{19}\,b^{12}\,x+351036400\,a^{18}\,b^{13}\,x^2+2106218400\,a^{17}\,b^{14}\,x^3+8951428200\,a^{16}\,b^{15}\,x^4+28644570240\,a^{15}\,b^{16}\,x^5+71611425600\,a^{14}\,b^{17}\,x^6+143222851200\,a^{13}\,b^{18}\,x^7+232737133200\,a^{12}\,b^{19}\,x^8+310316177600\,a^{11}\,b^{20}\,x^9+341347795360\,a^{10}\,b^{21}\,x^{10}+310316177600\,a^9\,b^{22}\,x^{11}+232737133200\,a^8\,b^{23}\,x^{12}+143222851200\,a^7\,b^{24}\,x^{13}+71611425600\,a^6\,b^{25}\,x^{14}+28644570240\,a^5\,b^{26}\,x^{15}+8951428200\,a^4\,b^{27}\,x^{16}+2106218400\,a^3\,b^{28}\,x^{17}+351036400\,a^2\,b^{29}\,x^{18}+36951200\,a\,b^{30}\,x^{19}+1847560\,b^{31}\,x^{20}}","Not used",1,"-(a^10*d^10 + 92378*b^10*c^10 + 184756*b^10*d^10*x^10 + 167960*a*b^9*d^10*x^9 + 1679600*b^10*c*d^9*x^9 + 24310*a^2*b^8*c^8*d^2 + 11440*a^3*b^7*c^7*d^3 + 5005*a^4*b^6*c^6*d^4 + 2002*a^5*b^5*c^5*d^5 + 715*a^6*b^4*c^4*d^6 + 220*a^7*b^3*c^3*d^7 + 55*a^8*b^2*c^2*d^8 + 190*a^8*b^2*d^10*x^2 + 1140*a^7*b^3*d^10*x^3 + 4845*a^6*b^4*d^10*x^4 + 15504*a^5*b^5*d^10*x^5 + 38760*a^4*b^6*d^10*x^6 + 77520*a^3*b^7*d^10*x^7 + 125970*a^2*b^8*d^10*x^8 + 4618900*b^10*c^8*d^2*x^2 + 13041600*b^10*c^7*d^3*x^3 + 24249225*b^10*c^6*d^4*x^4 + 31039008*b^10*c^5*d^5*x^5 + 27713400*b^10*c^4*d^6*x^6 + 17054400*b^10*c^3*d^7*x^7 + 6928350*b^10*c^2*d^8*x^8 + 48620*a*b^9*c^9*d + 10*a^9*b*c*d^9 + 20*a^9*b*d^10*x + 972400*b^10*c^9*d*x + 950950*a^2*b^8*c^6*d^4*x^2 + 380380*a^3*b^7*c^5*d^5*x^2 + 135850*a^4*b^6*c^4*d^6*x^2 + 41800*a^5*b^5*c^3*d^7*x^2 + 10450*a^6*b^4*c^2*d^8*x^2 + 2282280*a^2*b^8*c^5*d^5*x^3 + 815100*a^3*b^7*c^4*d^6*x^3 + 250800*a^4*b^6*c^3*d^7*x^3 + 62700*a^5*b^5*c^2*d^8*x^3 + 3464175*a^2*b^8*c^4*d^6*x^4 + 1065900*a^3*b^7*c^3*d^7*x^4 + 266475*a^4*b^6*c^2*d^8*x^4 + 3410880*a^2*b^8*c^3*d^7*x^5 + 852720*a^3*b^7*c^2*d^8*x^5 + 2131800*a^2*b^8*c^2*d^8*x^6 + 486200*a*b^9*c^8*d^2*x + 200*a^8*b^2*c*d^9*x + 1259700*a*b^9*c*d^9*x^8 + 228800*a^2*b^8*c^7*d^3*x + 100100*a^3*b^7*c^6*d^4*x + 40040*a^4*b^6*c^5*d^5*x + 14300*a^5*b^5*c^4*d^6*x + 4400*a^6*b^4*c^3*d^7*x + 1100*a^7*b^3*c^2*d^8*x + 2173600*a*b^9*c^7*d^3*x^2 + 1900*a^7*b^3*c*d^9*x^2 + 5705700*a*b^9*c^6*d^4*x^3 + 11400*a^6*b^4*c*d^9*x^3 + 9699690*a*b^9*c^5*d^5*x^4 + 48450*a^5*b^5*c*d^9*x^4 + 11085360*a*b^9*c^4*d^6*x^5 + 155040*a^4*b^6*c*d^9*x^5 + 8527200*a*b^9*c^3*d^7*x^6 + 387600*a^3*b^7*c*d^9*x^6 + 4263600*a*b^9*c^2*d^8*x^7 + 775200*a^2*b^8*c*d^9*x^7)/(1847560*a^20*b^11 + 1847560*b^31*x^20 + 36951200*a^19*b^12*x + 36951200*a*b^30*x^19 + 351036400*a^18*b^13*x^2 + 2106218400*a^17*b^14*x^3 + 8951428200*a^16*b^15*x^4 + 28644570240*a^15*b^16*x^5 + 71611425600*a^14*b^17*x^6 + 143222851200*a^13*b^18*x^7 + 232737133200*a^12*b^19*x^8 + 310316177600*a^11*b^20*x^9 + 341347795360*a^10*b^21*x^10 + 310316177600*a^9*b^22*x^11 + 232737133200*a^8*b^23*x^12 + 143222851200*a^7*b^24*x^13 + 71611425600*a^6*b^25*x^14 + 28644570240*a^5*b^26*x^15 + 8951428200*a^4*b^27*x^16 + 2106218400*a^3*b^28*x^17 + 351036400*a^2*b^29*x^18)","B"
1333,1,1186,279,1.035702,"\text{Not used}","int((c + d*x)^10/(a + b*x)^22,x)","-\frac{a^{10}\,d^{10}+11\,a^9\,b\,c\,d^9+21\,a^9\,b\,d^{10}\,x+66\,a^8\,b^2\,c^2\,d^8+231\,a^8\,b^2\,c\,d^9\,x+210\,a^8\,b^2\,d^{10}\,x^2+286\,a^7\,b^3\,c^3\,d^7+1386\,a^7\,b^3\,c^2\,d^8\,x+2310\,a^7\,b^3\,c\,d^9\,x^2+1330\,a^7\,b^3\,d^{10}\,x^3+1001\,a^6\,b^4\,c^4\,d^6+6006\,a^6\,b^4\,c^3\,d^7\,x+13860\,a^6\,b^4\,c^2\,d^8\,x^2+14630\,a^6\,b^4\,c\,d^9\,x^3+5985\,a^6\,b^4\,d^{10}\,x^4+3003\,a^5\,b^5\,c^5\,d^5+21021\,a^5\,b^5\,c^4\,d^6\,x+60060\,a^5\,b^5\,c^3\,d^7\,x^2+87780\,a^5\,b^5\,c^2\,d^8\,x^3+65835\,a^5\,b^5\,c\,d^9\,x^4+20349\,a^5\,b^5\,d^{10}\,x^5+8008\,a^4\,b^6\,c^6\,d^4+63063\,a^4\,b^6\,c^5\,d^5\,x+210210\,a^4\,b^6\,c^4\,d^6\,x^2+380380\,a^4\,b^6\,c^3\,d^7\,x^3+395010\,a^4\,b^6\,c^2\,d^8\,x^4+223839\,a^4\,b^6\,c\,d^9\,x^5+54264\,a^4\,b^6\,d^{10}\,x^6+19448\,a^3\,b^7\,c^7\,d^3+168168\,a^3\,b^7\,c^6\,d^4\,x+630630\,a^3\,b^7\,c^5\,d^5\,x^2+1331330\,a^3\,b^7\,c^4\,d^6\,x^3+1711710\,a^3\,b^7\,c^3\,d^7\,x^4+1343034\,a^3\,b^7\,c^2\,d^8\,x^5+596904\,a^3\,b^7\,c\,d^9\,x^6+116280\,a^3\,b^7\,d^{10}\,x^7+43758\,a^2\,b^8\,c^8\,d^2+408408\,a^2\,b^8\,c^7\,d^3\,x+1681680\,a^2\,b^8\,c^6\,d^4\,x^2+3993990\,a^2\,b^8\,c^5\,d^5\,x^3+5990985\,a^2\,b^8\,c^4\,d^6\,x^4+5819814\,a^2\,b^8\,c^3\,d^7\,x^5+3581424\,a^2\,b^8\,c^2\,d^8\,x^6+1279080\,a^2\,b^8\,c\,d^9\,x^7+203490\,a^2\,b^8\,d^{10}\,x^8+92378\,a\,b^9\,c^9\,d+918918\,a\,b^9\,c^8\,d^2\,x+4084080\,a\,b^9\,c^7\,d^3\,x^2+10650640\,a\,b^9\,c^6\,d^4\,x^3+17972955\,a\,b^9\,c^5\,d^5\,x^4+20369349\,a\,b^9\,c^4\,d^6\,x^5+15519504\,a\,b^9\,c^3\,d^7\,x^6+7674480\,a\,b^9\,c^2\,d^8\,x^7+2238390\,a\,b^9\,c\,d^9\,x^8+293930\,a\,b^9\,d^{10}\,x^9+184756\,b^{10}\,c^{10}+1939938\,b^{10}\,c^9\,d\,x+9189180\,b^{10}\,c^8\,d^2\,x^2+25865840\,b^{10}\,c^7\,d^3\,x^3+47927880\,b^{10}\,c^6\,d^4\,x^4+61108047\,b^{10}\,c^5\,d^5\,x^5+54318264\,b^{10}\,c^4\,d^6\,x^6+33256080\,b^{10}\,c^3\,d^7\,x^7+13430340\,b^{10}\,c^2\,d^8\,x^8+3233230\,b^{10}\,c\,d^9\,x^9+352716\,b^{10}\,d^{10}\,x^{10}}{3879876\,a^{21}\,b^{11}+81477396\,a^{20}\,b^{12}\,x+814773960\,a^{19}\,b^{13}\,x^2+5160235080\,a^{18}\,b^{14}\,x^3+23221057860\,a^{17}\,b^{15}\,x^4+78951596724\,a^{16}\,b^{16}\,x^5+210537591264\,a^{15}\,b^{17}\,x^6+451151981280\,a^{14}\,b^{18}\,x^7+789515967240\,a^{13}\,b^{19}\,x^8+1140411952680\,a^{12}\,b^{20}\,x^9+1368494343216\,a^{11}\,b^{21}\,x^{10}+1368494343216\,a^{10}\,b^{22}\,x^{11}+1140411952680\,a^9\,b^{23}\,x^{12}+789515967240\,a^8\,b^{24}\,x^{13}+451151981280\,a^7\,b^{25}\,x^{14}+210537591264\,a^6\,b^{26}\,x^{15}+78951596724\,a^5\,b^{27}\,x^{16}+23221057860\,a^4\,b^{28}\,x^{17}+5160235080\,a^3\,b^{29}\,x^{18}+814773960\,a^2\,b^{30}\,x^{19}+81477396\,a\,b^{31}\,x^{20}+3879876\,b^{32}\,x^{21}}","Not used",1,"-(a^10*d^10 + 184756*b^10*c^10 + 352716*b^10*d^10*x^10 + 293930*a*b^9*d^10*x^9 + 3233230*b^10*c*d^9*x^9 + 43758*a^2*b^8*c^8*d^2 + 19448*a^3*b^7*c^7*d^3 + 8008*a^4*b^6*c^6*d^4 + 3003*a^5*b^5*c^5*d^5 + 1001*a^6*b^4*c^4*d^6 + 286*a^7*b^3*c^3*d^7 + 66*a^8*b^2*c^2*d^8 + 210*a^8*b^2*d^10*x^2 + 1330*a^7*b^3*d^10*x^3 + 5985*a^6*b^4*d^10*x^4 + 20349*a^5*b^5*d^10*x^5 + 54264*a^4*b^6*d^10*x^6 + 116280*a^3*b^7*d^10*x^7 + 203490*a^2*b^8*d^10*x^8 + 9189180*b^10*c^8*d^2*x^2 + 25865840*b^10*c^7*d^3*x^3 + 47927880*b^10*c^6*d^4*x^4 + 61108047*b^10*c^5*d^5*x^5 + 54318264*b^10*c^4*d^6*x^6 + 33256080*b^10*c^3*d^7*x^7 + 13430340*b^10*c^2*d^8*x^8 + 92378*a*b^9*c^9*d + 11*a^9*b*c*d^9 + 21*a^9*b*d^10*x + 1939938*b^10*c^9*d*x + 1681680*a^2*b^8*c^6*d^4*x^2 + 630630*a^3*b^7*c^5*d^5*x^2 + 210210*a^4*b^6*c^4*d^6*x^2 + 60060*a^5*b^5*c^3*d^7*x^2 + 13860*a^6*b^4*c^2*d^8*x^2 + 3993990*a^2*b^8*c^5*d^5*x^3 + 1331330*a^3*b^7*c^4*d^6*x^3 + 380380*a^4*b^6*c^3*d^7*x^3 + 87780*a^5*b^5*c^2*d^8*x^3 + 5990985*a^2*b^8*c^4*d^6*x^4 + 1711710*a^3*b^7*c^3*d^7*x^4 + 395010*a^4*b^6*c^2*d^8*x^4 + 5819814*a^2*b^8*c^3*d^7*x^5 + 1343034*a^3*b^7*c^2*d^8*x^5 + 3581424*a^2*b^8*c^2*d^8*x^6 + 918918*a*b^9*c^8*d^2*x + 231*a^8*b^2*c*d^9*x + 2238390*a*b^9*c*d^9*x^8 + 408408*a^2*b^8*c^7*d^3*x + 168168*a^3*b^7*c^6*d^4*x + 63063*a^4*b^6*c^5*d^5*x + 21021*a^5*b^5*c^4*d^6*x + 6006*a^6*b^4*c^3*d^7*x + 1386*a^7*b^3*c^2*d^8*x + 4084080*a*b^9*c^7*d^3*x^2 + 2310*a^7*b^3*c*d^9*x^2 + 10650640*a*b^9*c^6*d^4*x^3 + 14630*a^6*b^4*c*d^9*x^3 + 17972955*a*b^9*c^5*d^5*x^4 + 65835*a^5*b^5*c*d^9*x^4 + 20369349*a*b^9*c^4*d^6*x^5 + 223839*a^4*b^6*c*d^9*x^5 + 15519504*a*b^9*c^3*d^7*x^6 + 596904*a^3*b^7*c*d^9*x^6 + 7674480*a*b^9*c^2*d^8*x^7 + 1279080*a^2*b^8*c*d^9*x^7)/(3879876*a^21*b^11 + 3879876*b^32*x^21 + 81477396*a^20*b^12*x + 81477396*a*b^31*x^20 + 814773960*a^19*b^13*x^2 + 5160235080*a^18*b^14*x^3 + 23221057860*a^17*b^15*x^4 + 78951596724*a^16*b^16*x^5 + 210537591264*a^15*b^17*x^6 + 451151981280*a^14*b^18*x^7 + 789515967240*a^13*b^19*x^8 + 1140411952680*a^12*b^20*x^9 + 1368494343216*a^11*b^21*x^10 + 1368494343216*a^10*b^22*x^11 + 1140411952680*a^9*b^23*x^12 + 789515967240*a^8*b^24*x^13 + 451151981280*a^7*b^25*x^14 + 210537591264*a^6*b^26*x^15 + 78951596724*a^5*b^27*x^16 + 23221057860*a^4*b^28*x^17 + 5160235080*a^3*b^29*x^18 + 814773960*a^2*b^30*x^19)","B"
1334,1,280,122,0.074140,"\text{Not used}","int((a + b*x)^5/(c + d*x),x)","x\,\left(\frac{5\,a^4\,b}{d}-\frac{c\,\left(\frac{10\,a^3\,b^2}{d}+\frac{c\,\left(\frac{c\,\left(\frac{5\,a\,b^4}{d}-\frac{b^5\,c}{d^2}\right)}{d}-\frac{10\,a^2\,b^3}{d}\right)}{d}\right)}{d}\right)+x^4\,\left(\frac{5\,a\,b^4}{4\,d}-\frac{b^5\,c}{4\,d^2}\right)+x^2\,\left(\frac{5\,a^3\,b^2}{d}+\frac{c\,\left(\frac{c\,\left(\frac{5\,a\,b^4}{d}-\frac{b^5\,c}{d^2}\right)}{d}-\frac{10\,a^2\,b^3}{d}\right)}{2\,d}\right)-x^3\,\left(\frac{c\,\left(\frac{5\,a\,b^4}{d}-\frac{b^5\,c}{d^2}\right)}{3\,d}-\frac{10\,a^2\,b^3}{3\,d}\right)+\frac{b^5\,x^5}{5\,d}+\frac{\ln\left(c+d\,x\right)\,\left(a^5\,d^5-5\,a^4\,b\,c\,d^4+10\,a^3\,b^2\,c^2\,d^3-10\,a^2\,b^3\,c^3\,d^2+5\,a\,b^4\,c^4\,d-b^5\,c^5\right)}{d^6}","Not used",1,"x*((5*a^4*b)/d - (c*((10*a^3*b^2)/d + (c*((c*((5*a*b^4)/d - (b^5*c)/d^2))/d - (10*a^2*b^3)/d))/d))/d) + x^4*((5*a*b^4)/(4*d) - (b^5*c)/(4*d^2)) + x^2*((5*a^3*b^2)/d + (c*((c*((5*a*b^4)/d - (b^5*c)/d^2))/d - (10*a^2*b^3)/d))/(2*d)) - x^3*((c*((5*a*b^4)/d - (b^5*c)/d^2))/(3*d) - (10*a^2*b^3)/(3*d)) + (b^5*x^5)/(5*d) + (log(c + d*x)*(a^5*d^5 - b^5*c^5 - 10*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 5*a*b^4*c^4*d - 5*a^4*b*c*d^4))/d^6","B"
1335,1,189,98,0.218443,"\text{Not used}","int((a + b*x)^4/(c + d*x),x)","x^3\,\left(\frac{4\,a\,b^3}{3\,d}-\frac{b^4\,c}{3\,d^2}\right)+x\,\left(\frac{4\,a^3\,b}{d}+\frac{c\,\left(\frac{c\,\left(\frac{4\,a\,b^3}{d}-\frac{b^4\,c}{d^2}\right)}{d}-\frac{6\,a^2\,b^2}{d}\right)}{d}\right)-x^2\,\left(\frac{c\,\left(\frac{4\,a\,b^3}{d}-\frac{b^4\,c}{d^2}\right)}{2\,d}-\frac{3\,a^2\,b^2}{d}\right)+\frac{\ln\left(c+d\,x\right)\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{d^5}+\frac{b^4\,x^4}{4\,d}","Not used",1,"x^3*((4*a*b^3)/(3*d) - (b^4*c)/(3*d^2)) + x*((4*a^3*b)/d + (c*((c*((4*a*b^3)/d - (b^4*c)/d^2))/d - (6*a^2*b^2)/d))/d) - x^2*((c*((4*a*b^3)/d - (b^4*c)/d^2))/(2*d) - (3*a^2*b^2)/d) + (log(c + d*x)*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))/d^5 + (b^4*x^4)/(4*d)","B"
1336,1,118,74,0.065420,"\text{Not used}","int((a + b*x)^3/(c + d*x),x)","x^2\,\left(\frac{3\,a\,b^2}{2\,d}-\frac{b^3\,c}{2\,d^2}\right)+x\,\left(\frac{3\,a^2\,b}{d}-\frac{c\,\left(\frac{3\,a\,b^2}{d}-\frac{b^3\,c}{d^2}\right)}{d}\right)+\frac{\ln\left(c+d\,x\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{d^4}+\frac{b^3\,x^3}{3\,d}","Not used",1,"x^2*((3*a*b^2)/(2*d) - (b^3*c)/(2*d^2)) + x*((3*a^2*b)/d - (c*((3*a*b^2)/d - (b^3*c)/d^2))/d) + (log(c + d*x)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/d^4 + (b^3*x^3)/(3*d)","B"
1337,1,62,50,0.224658,"\text{Not used}","int((a + b*x)^2/(c + d*x),x)","\frac{\ln\left(c+d\,x\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}-x\,\left(\frac{b^2\,c}{d^2}-\frac{2\,a\,b}{d}\right)+\frac{b^2\,x^2}{2\,d}","Not used",1,"(log(c + d*x)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/d^3 - x*((b^2*c)/d^2 - (2*a*b)/d) + (b^2*x^2)/(2*d)","B"
1338,1,25,26,0.201054,"\text{Not used}","int((a + b*x)/(c + d*x),x)","\frac{\ln\left(c+d\,x\right)\,\left(a\,d-b\,c\right)}{d^2}+\frac{b\,x}{d}","Not used",1,"(log(c + d*x)*(a*d - b*c))/d^2 + (b*x)/d","B"
1339,1,10,10,0.022279,"\text{Not used}","int(1/(c + d*x),x)","\frac{\ln\left(c+d\,x\right)}{d}","Not used",1,"log(c + d*x)/d","B"
1340,1,25,36,0.258312,"\text{Not used}","int(1/((a + b*x)*(c + d*x)),x)","\frac{\ln\left(\frac{c+d\,x}{a+b\,x}\right)}{a\,d-b\,c}","Not used",1,"log((c + d*x)/(a + b*x))/(a*d - b*c)","B"
1341,1,46,57,0.142087,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)),x)","\frac{1}{\left(a\,d-b\,c\right)\,\left(a+b\,x\right)}-\frac{d\,\ln\left(\frac{a+b\,x}{c+d\,x}\right)}{{\left(a\,d-b\,c\right)}^2}","Not used",1,"1/((a*d - b*c)*(a + b*x)) - (d*log((a + b*x)/(c + d*x)))/(a*d - b*c)^2","B"
1342,1,182,82,0.160683,"\text{Not used}","int(1/((a + b*x)^3*(c + d*x)),x)","\frac{\frac{3\,a\,d-b\,c}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{b\,d\,x}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}}{a^2+2\,a\,b\,x+b^2\,x^2}-\frac{2\,d^2\,\mathrm{atanh}\left(\frac{a^3\,d^3-a^2\,b\,c\,d^2-a\,b^2\,c^2\,d+b^3\,c^3}{{\left(a\,d-b\,c\right)}^3}+\frac{2\,b\,d\,x\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3}\right)}{{\left(a\,d-b\,c\right)}^3}","Not used",1,"((3*a*d - b*c)/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (b*d*x)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a^2 + b^2*x^2 + 2*a*b*x) - (2*d^2*atanh((a^3*d^3 + b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2)/(a*d - b*c)^3 + (2*b*d*x*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*d - b*c)^3))/(a*d - b*c)^3","B"
1343,1,327,130,0.245296,"\text{Not used}","int((a + b*x)^5/(c + d*x)^2,x)","x^3\,\left(\frac{5\,a\,b^4}{3\,d^2}-\frac{2\,b^5\,c}{3\,d^3}\right)+x\,\left(\frac{2\,c\,\left(\frac{2\,c\,\left(\frac{5\,a\,b^4}{d^2}-\frac{2\,b^5\,c}{d^3}\right)}{d}-\frac{10\,a^2\,b^3}{d^2}+\frac{b^5\,c^2}{d^4}\right)}{d}+\frac{10\,a^3\,b^2}{d^2}-\frac{c^2\,\left(\frac{5\,a\,b^4}{d^2}-\frac{2\,b^5\,c}{d^3}\right)}{d^2}\right)-x^2\,\left(\frac{c\,\left(\frac{5\,a\,b^4}{d^2}-\frac{2\,b^5\,c}{d^3}\right)}{d}-\frac{5\,a^2\,b^3}{d^2}+\frac{b^5\,c^2}{2\,d^4}\right)+\frac{\ln\left(c+d\,x\right)\,\left(5\,a^4\,b\,d^4-20\,a^3\,b^2\,c\,d^3+30\,a^2\,b^3\,c^2\,d^2-20\,a\,b^4\,c^3\,d+5\,b^5\,c^4\right)}{d^6}-\frac{a^5\,d^5-5\,a^4\,b\,c\,d^4+10\,a^3\,b^2\,c^2\,d^3-10\,a^2\,b^3\,c^3\,d^2+5\,a\,b^4\,c^4\,d-b^5\,c^5}{d\,\left(x\,d^6+c\,d^5\right)}+\frac{b^5\,x^4}{4\,d^2}","Not used",1,"x^3*((5*a*b^4)/(3*d^2) - (2*b^5*c)/(3*d^3)) + x*((2*c*((2*c*((5*a*b^4)/d^2 - (2*b^5*c)/d^3))/d - (10*a^2*b^3)/d^2 + (b^5*c^2)/d^4))/d + (10*a^3*b^2)/d^2 - (c^2*((5*a*b^4)/d^2 - (2*b^5*c)/d^3))/d^2) - x^2*((c*((5*a*b^4)/d^2 - (2*b^5*c)/d^3))/d - (5*a^2*b^3)/d^2 + (b^5*c^2)/(2*d^4)) + (log(c + d*x)*(5*b^5*c^4 + 5*a^4*b*d^4 - 20*a^3*b^2*c*d^3 + 30*a^2*b^3*c^2*d^2 - 20*a*b^4*c^3*d))/d^6 - (a^5*d^5 - b^5*c^5 - 10*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 5*a*b^4*c^4*d - 5*a^4*b*c*d^4)/(d*(c*d^5 + d^6*x)) + (b^5*x^4)/(4*d^2)","B"
1344,1,203,104,0.072594,"\text{Not used}","int((a + b*x)^4/(c + d*x)^2,x)","x^2\,\left(\frac{2\,a\,b^3}{d^2}-\frac{b^4\,c}{d^3}\right)-x\,\left(\frac{2\,c\,\left(\frac{4\,a\,b^3}{d^2}-\frac{2\,b^4\,c}{d^3}\right)}{d}-\frac{6\,a^2\,b^2}{d^2}+\frac{b^4\,c^2}{d^4}\right)+\frac{b^4\,x^3}{3\,d^2}-\frac{\ln\left(c+d\,x\right)\,\left(-4\,a^3\,b\,d^3+12\,a^2\,b^2\,c\,d^2-12\,a\,b^3\,c^2\,d+4\,b^4\,c^3\right)}{d^5}-\frac{a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4}{d\,\left(x\,d^5+c\,d^4\right)}","Not used",1,"x^2*((2*a*b^3)/d^2 - (b^4*c)/d^3) - x*((2*c*((4*a*b^3)/d^2 - (2*b^4*c)/d^3))/d - (6*a^2*b^2)/d^2 + (b^4*c^2)/d^4) + (b^4*x^3)/(3*d^2) - (log(c + d*x)*(4*b^4*c^3 - 4*a^3*b*d^3 + 12*a^2*b^2*c*d^2 - 12*a*b^3*c^2*d))/d^5 - (a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)/(d*(c*d^4 + d^5*x))","B"
1345,1,123,75,0.077023,"\text{Not used}","int((a + b*x)^3/(c + d*x)^2,x)","x\,\left(\frac{3\,a\,b^2}{d^2}-\frac{2\,b^3\,c}{d^3}\right)+\frac{\ln\left(c+d\,x\right)\,\left(3\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+3\,b^3\,c^2\right)}{d^4}-\frac{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}{d\,\left(x\,d^4+c\,d^3\right)}+\frac{b^3\,x^2}{2\,d^2}","Not used",1,"x*((3*a*b^2)/d^2 - (2*b^3*c)/d^3) + (log(c + d*x)*(3*b^3*c^2 + 3*a^2*b*d^2 - 6*a*b^2*c*d))/d^4 - (a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)/(d*(c*d^3 + d^4*x)) + (b^3*x^2)/(2*d^2)","B"
1346,1,71,51,0.236371,"\text{Not used}","int((a + b*x)^2/(c + d*x)^2,x)","\frac{b^2\,x}{d^2}-\frac{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}{d\,\left(x\,d^3+c\,d^2\right)}-\frac{\ln\left(c+d\,x\right)\,\left(2\,b^2\,c-2\,a\,b\,d\right)}{d^3}","Not used",1,"(b^2*x)/d^2 - (a^2*d^2 + b^2*c^2 - 2*a*b*c*d)/(d*(c*d^2 + d^3*x)) - (log(c + d*x)*(2*b^2*c - 2*a*b*d))/d^3","B"
1347,1,32,31,0.041244,"\text{Not used}","int((a + b*x)/(c + d*x)^2,x)","\frac{b\,\ln\left(c+d\,x\right)}{d^2}-\frac{a\,d-b\,c}{d^2\,\left(c+d\,x\right)}","Not used",1,"(b*log(c + d*x))/d^2 - (a*d - b*c)/(d^2*(c + d*x))","B"
1348,1,12,12,0.186540,"\text{Not used}","int(1/(c + d*x)^2,x)","-\frac{1}{d\,\left(c+d\,x\right)}","Not used",1,"-1/(d*(c + d*x))","B"
1349,1,47,56,0.291871,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^2),x)","-\frac{1}{\left(a\,d-b\,c\right)\,\left(c+d\,x\right)}-\frac{b\,\ln\left(\frac{c+d\,x}{a+b\,x}\right)}{{\left(a\,d-b\,c\right)}^2}","Not used",1,"- 1/((a*d - b*c)*(c + d*x)) - (b*log((c + d*x)/(a + b*x)))/(a*d - b*c)^2","B"
1350,1,74,81,0.333573,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)^2),x)","\frac{1}{\left(a\,d-b\,c\right)\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{2\,d}{{\left(a\,d-b\,c\right)}^2\,\left(c+d\,x\right)}-\frac{2\,b\,d\,\ln\left(\frac{c+d\,x}{a+b\,x}\right)}{{\left(a\,d-b\,c\right)}^3}","Not used",1,"1/((a*d - b*c)*(a + b*x)*(c + d*x)) - (2*d)/((a*d - b*c)^2*(c + d*x)) - (2*b*d*log((c + d*x)/(a + b*x)))/(a*d - b*c)^3","B"
1351,1,330,109,0.395990,"\text{Not used}","int(1/((a + b*x)^3*(c + d*x)^2),x)","\frac{6\,b\,d^2\,\mathrm{atanh}\left(\frac{a^4\,d^4-2\,a^3\,b\,c\,d^3+2\,a\,b^3\,c^3\,d-b^4\,c^4}{{\left(a\,d-b\,c\right)}^4}+\frac{2\,b\,d\,x\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^4}\right)}{{\left(a\,d-b\,c\right)}^4}-\frac{\frac{2\,a^2\,d^2+5\,a\,b\,c\,d-b^2\,c^2}{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{3\,d\,x\,\left(c\,b^2+3\,a\,d\,b\right)}{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{3\,b^2\,d^2\,x^2}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}}{x\,\left(d\,a^2+2\,b\,c\,a\right)+a^2\,c+x^2\,\left(c\,b^2+2\,a\,d\,b\right)+b^2\,d\,x^3}","Not used",1,"(6*b*d^2*atanh((a^4*d^4 - b^4*c^4 + 2*a*b^3*c^3*d - 2*a^3*b*c*d^3)/(a*d - b*c)^4 + (2*b*d*x*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^4))/(a*d - b*c)^4 - ((2*a^2*d^2 - b^2*c^2 + 5*a*b*c*d)/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (3*d*x*(b^2*c + 3*a*b*d))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (3*b^2*d^2*x^2)/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(x*(a^2*d + 2*a*b*c) + a^2*c + x^2*(b^2*c + 2*a*b*d) + b^2*d*x^3)","B"
1352,1,441,158,0.273578,"\text{Not used}","int((a + b*x)^6/(c + d*x)^3,x)","x^3\,\left(\frac{2\,a\,b^5}{d^3}-\frac{b^6\,c}{d^4}\right)-\frac{\frac{a^6\,d^6+6\,a^5\,b\,c\,d^5-45\,a^4\,b^2\,c^2\,d^4+100\,a^3\,b^3\,c^3\,d^3-105\,a^2\,b^4\,c^4\,d^2+54\,a\,b^5\,c^5\,d-11\,b^6\,c^6}{2\,d}-x\,\left(-6\,a^5\,b\,d^5+30\,a^4\,b^2\,c\,d^4-60\,a^3\,b^3\,c^2\,d^3+60\,a^2\,b^4\,c^3\,d^2-30\,a\,b^5\,c^4\,d+6\,b^6\,c^5\right)}{c^2\,d^6+2\,c\,d^7\,x+d^8\,x^2}-x^2\,\left(\frac{3\,c\,\left(\frac{6\,a\,b^5}{d^3}-\frac{3\,b^6\,c}{d^4}\right)}{2\,d}-\frac{15\,a^2\,b^4}{2\,d^3}+\frac{3\,b^6\,c^2}{2\,d^5}\right)+x\,\left(\frac{3\,c\,\left(\frac{3\,c\,\left(\frac{6\,a\,b^5}{d^3}-\frac{3\,b^6\,c}{d^4}\right)}{d}-\frac{15\,a^2\,b^4}{d^3}+\frac{3\,b^6\,c^2}{d^5}\right)}{d}+\frac{20\,a^3\,b^3}{d^3}-\frac{b^6\,c^3}{d^6}-\frac{3\,c^2\,\left(\frac{6\,a\,b^5}{d^3}-\frac{3\,b^6\,c}{d^4}\right)}{d^2}\right)+\frac{\ln\left(c+d\,x\right)\,\left(15\,a^4\,b^2\,d^4-60\,a^3\,b^3\,c\,d^3+90\,a^2\,b^4\,c^2\,d^2-60\,a\,b^5\,c^3\,d+15\,b^6\,c^4\right)}{d^7}+\frac{b^6\,x^4}{4\,d^3}","Not used",1,"x^3*((2*a*b^5)/d^3 - (b^6*c)/d^4) - ((a^6*d^6 - 11*b^6*c^6 - 105*a^2*b^4*c^4*d^2 + 100*a^3*b^3*c^3*d^3 - 45*a^4*b^2*c^2*d^4 + 54*a*b^5*c^5*d + 6*a^5*b*c*d^5)/(2*d) - x*(6*b^6*c^5 - 6*a^5*b*d^5 + 30*a^4*b^2*c*d^4 + 60*a^2*b^4*c^3*d^2 - 60*a^3*b^3*c^2*d^3 - 30*a*b^5*c^4*d))/(c^2*d^6 + d^8*x^2 + 2*c*d^7*x) - x^2*((3*c*((6*a*b^5)/d^3 - (3*b^6*c)/d^4))/(2*d) - (15*a^2*b^4)/(2*d^3) + (3*b^6*c^2)/(2*d^5)) + x*((3*c*((3*c*((6*a*b^5)/d^3 - (3*b^6*c)/d^4))/d - (15*a^2*b^4)/d^3 + (3*b^6*c^2)/d^5))/d + (20*a^3*b^3)/d^3 - (b^6*c^3)/d^6 - (3*c^2*((6*a*b^5)/d^3 - (3*b^6*c)/d^4))/d^2) + (log(c + d*x)*(15*b^6*c^4 + 15*a^4*b^2*d^4 - 60*a^3*b^3*c*d^3 + 90*a^2*b^4*c^2*d^2 - 60*a*b^5*c^3*d))/d^7 + (b^6*x^4)/(4*d^3)","B"
1353,1,291,133,0.099376,"\text{Not used}","int((a + b*x)^5/(c + d*x)^3,x)","x^2\,\left(\frac{5\,a\,b^4}{2\,d^3}-\frac{3\,b^5\,c}{2\,d^4}\right)-\frac{\frac{a^5\,d^5+5\,a^4\,b\,c\,d^4-30\,a^3\,b^2\,c^2\,d^3+50\,a^2\,b^3\,c^3\,d^2-35\,a\,b^4\,c^4\,d+9\,b^5\,c^5}{2\,d}+x\,\left(5\,a^4\,b\,d^4-20\,a^3\,b^2\,c\,d^3+30\,a^2\,b^3\,c^2\,d^2-20\,a\,b^4\,c^3\,d+5\,b^5\,c^4\right)}{c^2\,d^5+2\,c\,d^6\,x+d^7\,x^2}-x\,\left(\frac{3\,c\,\left(\frac{5\,a\,b^4}{d^3}-\frac{3\,b^5\,c}{d^4}\right)}{d}-\frac{10\,a^2\,b^3}{d^3}+\frac{3\,b^5\,c^2}{d^5}\right)-\frac{\ln\left(c+d\,x\right)\,\left(-10\,a^3\,b^2\,d^3+30\,a^2\,b^3\,c\,d^2-30\,a\,b^4\,c^2\,d+10\,b^5\,c^3\right)}{d^6}+\frac{b^5\,x^3}{3\,d^3}","Not used",1,"x^2*((5*a*b^4)/(2*d^3) - (3*b^5*c)/(2*d^4)) - ((a^5*d^5 + 9*b^5*c^5 + 50*a^2*b^3*c^3*d^2 - 30*a^3*b^2*c^2*d^3 - 35*a*b^4*c^4*d + 5*a^4*b*c*d^4)/(2*d) + x*(5*b^5*c^4 + 5*a^4*b*d^4 - 20*a^3*b^2*c*d^3 + 30*a^2*b^3*c^2*d^2 - 20*a*b^4*c^3*d))/(c^2*d^5 + d^7*x^2 + 2*c*d^6*x) - x*((3*c*((5*a*b^4)/d^3 - (3*b^5*c)/d^4))/d - (10*a^2*b^3)/d^3 + (3*b^5*c^2)/d^5) - (log(c + d*x)*(10*b^5*c^3 - 10*a^3*b^2*d^3 + 30*a^2*b^3*c*d^2 - 30*a*b^4*c^2*d))/d^6 + (b^5*x^3)/(3*d^3)","B"
1354,1,196,103,0.098553,"\text{Not used}","int((a + b*x)^4/(c + d*x)^3,x)","x\,\left(\frac{4\,a\,b^3}{d^3}-\frac{3\,b^4\,c}{d^4}\right)-\frac{\frac{a^4\,d^4+4\,a^3\,b\,c\,d^3-18\,a^2\,b^2\,c^2\,d^2+20\,a\,b^3\,c^3\,d-7\,b^4\,c^4}{2\,d}-x\,\left(-4\,a^3\,b\,d^3+12\,a^2\,b^2\,c\,d^2-12\,a\,b^3\,c^2\,d+4\,b^4\,c^3\right)}{c^2\,d^4+2\,c\,d^5\,x+d^6\,x^2}+\frac{b^4\,x^2}{2\,d^3}+\frac{\ln\left(c+d\,x\right)\,\left(6\,a^2\,b^2\,d^2-12\,a\,b^3\,c\,d+6\,b^4\,c^2\right)}{d^5}","Not used",1,"x*((4*a*b^3)/d^3 - (3*b^4*c)/d^4) - ((a^4*d^4 - 7*b^4*c^4 - 18*a^2*b^2*c^2*d^2 + 20*a*b^3*c^3*d + 4*a^3*b*c*d^3)/(2*d) - x*(4*b^4*c^3 - 4*a^3*b*d^3 + 12*a^2*b^2*c*d^2 - 12*a*b^3*c^2*d))/(c^2*d^4 + d^6*x^2 + 2*c*d^5*x) + (b^4*x^2)/(2*d^3) + (log(c + d*x)*(6*b^4*c^2 + 6*a^2*b^2*d^2 - 12*a*b^3*c*d))/d^5","B"
1355,1,130,78,0.109050,"\text{Not used}","int((a + b*x)^3/(c + d*x)^3,x)","\frac{b^3\,x}{d^3}-\frac{\ln\left(c+d\,x\right)\,\left(3\,b^3\,c-3\,a\,b^2\,d\right)}{d^4}-\frac{\frac{a^3\,d^3+3\,a^2\,b\,c\,d^2-9\,a\,b^2\,c^2\,d+5\,b^3\,c^3}{2\,d}+x\,\left(3\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+3\,b^3\,c^2\right)}{c^2\,d^3+2\,c\,d^4\,x+d^5\,x^2}","Not used",1,"(b^3*x)/d^3 - (log(c + d*x)*(3*b^3*c - 3*a*b^2*d))/d^4 - ((a^3*d^3 + 5*b^3*c^3 - 9*a*b^2*c^2*d + 3*a^2*b*c*d^2)/(2*d) + x*(3*b^3*c^2 + 3*a^2*b*d^2 - 6*a*b^2*c*d))/(c^2*d^3 + d^5*x^2 + 2*c*d^4*x)","B"
1356,1,77,59,0.228099,"\text{Not used}","int((a + b*x)^2/(c + d*x)^3,x)","\frac{b^2\,\ln\left(c+d\,x\right)}{d^3}-\frac{\frac{a^2\,d^2+2\,a\,b\,c\,d-3\,b^2\,c^2}{2\,d^3}+\frac{2\,b\,x\,\left(a\,d-b\,c\right)}{d^2}}{c^2+2\,c\,d\,x+d^2\,x^2}","Not used",1,"(b^2*log(c + d*x))/d^3 - ((a^2*d^2 - 3*b^2*c^2 + 2*a*b*c*d)/(2*d^3) + (2*b*x*(a*d - b*c))/d^2)/(c^2 + d^2*x^2 + 2*c*d*x)","B"
1357,1,39,28,0.028869,"\text{Not used}","int((a + b*x)/(c + d*x)^3,x)","-\frac{\frac{a\,d+b\,c}{2\,d^2}+\frac{b\,x}{d}}{c^2+2\,c\,d\,x+d^2\,x^2}","Not used",1,"-((a*d + b*c)/(2*d^2) + (b*x)/d)/(c^2 + d^2*x^2 + 2*c*d*x)","B"
1358,1,26,14,0.023922,"\text{Not used}","int(1/(c + d*x)^3,x)","-\frac{1}{2\,c^2\,d+4\,c\,d^2\,x+2\,d^3\,x^2}","Not used",1,"-1/(2*c^2*d + 2*d^3*x^2 + 4*c*d^2*x)","B"
1359,1,183,82,0.299463,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^3),x)","-\frac{\frac{a\,d-3\,b\,c}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{b\,d\,x}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}}{c^2+2\,c\,d\,x+d^2\,x^2}-\frac{2\,b^2\,\mathrm{atanh}\left(\frac{a^3\,d^3-a^2\,b\,c\,d^2-a\,b^2\,c^2\,d+b^3\,c^3}{{\left(a\,d-b\,c\right)}^3}+\frac{2\,b\,d\,x\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3}\right)}{{\left(a\,d-b\,c\right)}^3}","Not used",1,"- ((a*d - 3*b*c)/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (b*d*x)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(c^2 + d^2*x^2 + 2*c*d*x) - (2*b^2*atanh((a^3*d^3 + b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2)/(a*d - b*c)^3 + (2*b*d*x*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*d - b*c)^3))/(a*d - b*c)^3","B"
1360,1,329,110,0.395410,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)^3),x)","\frac{\frac{-a^2\,d^2+5\,a\,b\,c\,d+2\,b^2\,c^2}{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{3\,b\,x\,\left(a\,d^2+3\,b\,c\,d\right)}{2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{3\,b^2\,d^2\,x^2}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}}{x\,\left(b\,c^2+2\,a\,d\,c\right)+a\,c^2+x^2\,\left(a\,d^2+2\,b\,c\,d\right)+b\,d^2\,x^3}-\frac{6\,b^2\,d\,\mathrm{atanh}\left(\frac{a^4\,d^4-2\,a^3\,b\,c\,d^3+2\,a\,b^3\,c^3\,d-b^4\,c^4}{{\left(a\,d-b\,c\right)}^4}+\frac{2\,b\,d\,x\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^4}\right)}{{\left(a\,d-b\,c\right)}^4}","Not used",1,"((2*b^2*c^2 - a^2*d^2 + 5*a*b*c*d)/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (3*b*x*(a*d^2 + 3*b*c*d))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (3*b^2*d^2*x^2)/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(x*(b*c^2 + 2*a*c*d) + a*c^2 + x^2*(a*d^2 + 2*b*c*d) + b*d^2*x^3) - (6*b^2*d*atanh((a^4*d^4 - b^4*c^4 + 2*a*b^3*c^3*d - 2*a^3*b*c*d^3)/(a*d - b*c)^4 + (2*b*d*x*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^4))/(a*d - b*c)^4","B"
1361,1,542,143,0.525502,"\text{Not used}","int(1/((a + b*x)^3*(c + d*x)^3),x)","\frac{\frac{6\,b^3\,d^3\,x^3}{a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4}-\frac{a^3\,d^3-7\,a^2\,b\,c\,d^2-7\,a\,b^2\,c^2\,d+b^3\,c^3}{2\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}+\frac{9\,b\,d\,x^2\,\left(c\,b^2\,d+a\,b\,d^2\right)}{a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4}+\frac{2\,b\,d\,x\,\left(a^2\,d^2+7\,a\,b\,c\,d+b^2\,c^2\right)}{a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4}}{x\,\left(2\,d\,a^2\,c+2\,b\,a\,c^2\right)+x^2\,\left(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)+x^3\,\left(2\,c\,b^2\,d+2\,a\,b\,d^2\right)+a^2\,c^2+b^2\,d^2\,x^4}-\frac{12\,b^2\,d^2\,\mathrm{atanh}\left(\frac{a^5\,d^5-3\,a^4\,b\,c\,d^4+2\,a^3\,b^2\,c^2\,d^3+2\,a^2\,b^3\,c^3\,d^2-3\,a\,b^4\,c^4\,d+b^5\,c^5}{{\left(a\,d-b\,c\right)}^5}+\frac{2\,b\,d\,x\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{{\left(a\,d-b\,c\right)}^5}\right)}{{\left(a\,d-b\,c\right)}^5}","Not used",1,"((6*b^3*d^3*x^3)/(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3) - (a^3*d^3 + b^3*c^3 - 7*a*b^2*c^2*d - 7*a^2*b*c*d^2)/(2*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)) + (9*b*d*x^2*(a*b*d^2 + b^2*c*d))/(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3) + (2*b*d*x*(a^2*d^2 + b^2*c^2 + 7*a*b*c*d))/(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))/(x*(2*a*b*c^2 + 2*a^2*c*d) + x^2*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d) + x^3*(2*a*b*d^2 + 2*b^2*c*d) + a^2*c^2 + b^2*d^2*x^4) - (12*b^2*d^2*atanh((a^5*d^5 + b^5*c^5 + 2*a^2*b^3*c^3*d^2 + 2*a^3*b^2*c^2*d^3 - 3*a*b^4*c^4*d - 3*a^4*b*c*d^4)/(a*d - b*c)^5 + (2*b*d*x*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))/(a*d - b*c)^5))/(a*d - b*c)^5","B"
1362,1,784,232,0.256858,"\text{Not used}","int((a + b*x)^9/(c + d*x)^8,x)","x\,\left(\frac{9\,a\,b^8}{d^8}-\frac{8\,b^9\,c}{d^9}\right)-\frac{\frac{10\,a^9\,d^9+15\,a^8\,b\,c\,d^8+24\,a^7\,b^2\,c^2\,d^7+42\,a^6\,b^3\,c^3\,d^6+84\,a^5\,b^4\,c^4\,d^5+210\,a^4\,b^5\,c^5\,d^4+840\,a^3\,b^6\,c^6\,d^3-6534\,a^2\,b^7\,c^7\,d^2+8658\,a\,b^8\,c^8\,d-3349\,b^9\,c^9}{70\,d}+x\,\left(\frac{3\,a^8\,b\,d^8}{2}+\frac{12\,a^7\,b^2\,c\,d^7}{5}+\frac{21\,a^6\,b^3\,c^2\,d^6}{5}+\frac{42\,a^5\,b^4\,c^3\,d^5}{5}+21\,a^4\,b^5\,c^4\,d^4+84\,a^3\,b^6\,c^5\,d^3-\frac{3087\,a^2\,b^7\,c^6\,d^2}{5}+\frac{4014\,a\,b^8\,c^7\,d}{5}-\frac{3069\,b^9\,c^8}{10}\right)+x^3\,\left(21\,a^6\,b^3\,d^8+42\,a^5\,b^4\,c\,d^7+105\,a^4\,b^5\,c^2\,d^6+420\,a^3\,b^6\,c^3\,d^5-2625\,a^2\,b^7\,c^4\,d^4+3234\,a\,b^8\,c^5\,d^3-1197\,b^9\,c^6\,d^2\right)+x^2\,\left(\frac{36\,a^7\,b^2\,d^8}{5}+\frac{63\,a^6\,b^3\,c\,d^7}{5}+\frac{126\,a^5\,b^4\,c^2\,d^6}{5}+63\,a^4\,b^5\,c^3\,d^5+252\,a^3\,b^6\,c^4\,d^4-\frac{8631\,a^2\,b^7\,c^5\,d^3}{5}+\frac{10962\,a\,b^8\,c^6\,d^2}{5}-\frac{4131\,b^9\,c^7\,d}{5}\right)+x^5\,\left(63\,a^4\,b^5\,d^8+252\,a^3\,b^6\,c\,d^7-1134\,a^2\,b^7\,c^2\,d^6+1260\,a\,b^8\,c^3\,d^5-441\,b^9\,c^4\,d^4\right)+x^4\,\left(42\,a^5\,b^4\,d^8+105\,a^4\,b^5\,c\,d^7+420\,a^3\,b^6\,c^2\,d^6-2310\,a^2\,b^7\,c^3\,d^5+2730\,a\,b^8\,c^4\,d^4-987\,b^9\,c^5\,d^3\right)+x^6\,\left(84\,a^3\,b^6\,d^8-252\,a^2\,b^7\,c\,d^7+252\,a\,b^8\,c^2\,d^6-84\,b^9\,c^3\,d^5\right)}{c^7\,d^9+7\,c^6\,d^{10}\,x+21\,c^5\,d^{11}\,x^2+35\,c^4\,d^{12}\,x^3+35\,c^3\,d^{13}\,x^4+21\,c^2\,d^{14}\,x^5+7\,c\,d^{15}\,x^6+d^{16}\,x^7}+\frac{b^9\,x^2}{2\,d^8}+\frac{\ln\left(c+d\,x\right)\,\left(36\,a^2\,b^7\,d^2-72\,a\,b^8\,c\,d+36\,b^9\,c^2\right)}{d^{10}}","Not used",1,"x*((9*a*b^8)/d^8 - (8*b^9*c)/d^9) - ((10*a^9*d^9 - 3349*b^9*c^9 - 6534*a^2*b^7*c^7*d^2 + 840*a^3*b^6*c^6*d^3 + 210*a^4*b^5*c^5*d^4 + 84*a^5*b^4*c^4*d^5 + 42*a^6*b^3*c^3*d^6 + 24*a^7*b^2*c^2*d^7 + 8658*a*b^8*c^8*d + 15*a^8*b*c*d^8)/(70*d) + x*((3*a^8*b*d^8)/2 - (3069*b^9*c^8)/10 + (12*a^7*b^2*c*d^7)/5 - (3087*a^2*b^7*c^6*d^2)/5 + 84*a^3*b^6*c^5*d^3 + 21*a^4*b^5*c^4*d^4 + (42*a^5*b^4*c^3*d^5)/5 + (21*a^6*b^3*c^2*d^6)/5 + (4014*a*b^8*c^7*d)/5) + x^3*(21*a^6*b^3*d^8 - 1197*b^9*c^6*d^2 + 3234*a*b^8*c^5*d^3 + 42*a^5*b^4*c*d^7 - 2625*a^2*b^7*c^4*d^4 + 420*a^3*b^6*c^3*d^5 + 105*a^4*b^5*c^2*d^6) + x^2*((36*a^7*b^2*d^8)/5 - (4131*b^9*c^7*d)/5 + (10962*a*b^8*c^6*d^2)/5 + (63*a^6*b^3*c*d^7)/5 - (8631*a^2*b^7*c^5*d^3)/5 + 252*a^3*b^6*c^4*d^4 + 63*a^4*b^5*c^3*d^5 + (126*a^5*b^4*c^2*d^6)/5) + x^5*(63*a^4*b^5*d^8 - 441*b^9*c^4*d^4 + 1260*a*b^8*c^3*d^5 + 252*a^3*b^6*c*d^7 - 1134*a^2*b^7*c^2*d^6) + x^4*(42*a^5*b^4*d^8 - 987*b^9*c^5*d^3 + 2730*a*b^8*c^4*d^4 + 105*a^4*b^5*c*d^7 - 2310*a^2*b^7*c^3*d^5 + 420*a^3*b^6*c^2*d^6) + x^6*(84*a^3*b^6*d^8 - 84*b^9*c^3*d^5 + 252*a*b^8*c^2*d^6 - 252*a^2*b^7*c*d^7))/(c^7*d^9 + d^16*x^7 + 7*c^6*d^10*x + 7*c*d^15*x^6 + 21*c^5*d^11*x^2 + 35*c^4*d^12*x^3 + 35*c^3*d^13*x^4 + 21*c^2*d^14*x^5) + (b^9*x^2)/(2*d^8) + (log(c + d*x)*(36*b^9*c^2 + 36*a^2*b^7*d^2 - 72*a*b^8*c*d))/d^10","B"
1363,1,649,209,0.429559,"\text{Not used}","int((a + b*x)^8/(c + d*x)^8,x)","\frac{b^8\,x}{d^8}-\frac{\ln\left(c+d\,x\right)\,\left(8\,b^8\,c-8\,a\,b^7\,d\right)}{d^9}-\frac{x^4\,\left(\frac{70\,a^4\,b^4\,d^7}{3}+\frac{140\,a^3\,b^5\,c\,d^6}{3}+140\,a^2\,b^6\,c^2\,d^5-\frac{1540\,a\,b^7\,c^3\,d^4}{3}+\frac{910\,b^8\,c^4\,d^3}{3}\right)+x^6\,\left(28\,a^2\,b^6\,d^7-56\,a\,b^7\,c\,d^6+28\,b^8\,c^2\,d^5\right)+\frac{15\,a^8\,d^8+20\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6+42\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4+140\,a^3\,b^5\,c^5\,d^3+420\,a^2\,b^6\,c^6\,d^2-2178\,a\,b^7\,c^7\,d+1443\,b^8\,c^8}{105\,d}+x\,\left(\frac{4\,a^7\,b\,d^7}{3}+\frac{28\,a^6\,b^2\,c\,d^6}{15}+\frac{14\,a^5\,b^3\,c^2\,d^5}{5}+\frac{14\,a^4\,b^4\,c^3\,d^4}{3}+\frac{28\,a^3\,b^5\,c^4\,d^3}{3}+28\,a^2\,b^6\,c^5\,d^2-\frac{686\,a\,b^7\,c^6\,d}{5}+\frac{446\,b^8\,c^7}{5}\right)+x^3\,\left(14\,a^5\,b^3\,d^7+\frac{70\,a^4\,b^4\,c\,d^6}{3}+\frac{140\,a^3\,b^5\,c^2\,d^5}{3}+140\,a^2\,b^6\,c^3\,d^4-\frac{1750\,a\,b^7\,c^4\,d^3}{3}+\frac{1078\,b^8\,c^5\,d^2}{3}\right)+x^2\,\left(\frac{28\,a^6\,b^2\,d^7}{5}+\frac{42\,a^5\,b^3\,c\,d^6}{5}+14\,a^4\,b^4\,c^2\,d^5+28\,a^3\,b^5\,c^3\,d^4+84\,a^2\,b^6\,c^4\,d^3-\frac{1918\,a\,b^7\,c^5\,d^2}{5}+\frac{1218\,b^8\,c^6\,d}{5}\right)+x^5\,\left(28\,a^3\,b^5\,d^7+84\,a^2\,b^6\,c\,d^6-252\,a\,b^7\,c^2\,d^5+140\,b^8\,c^3\,d^4\right)}{c^7\,d^8+7\,c^6\,d^9\,x+21\,c^5\,d^{10}\,x^2+35\,c^4\,d^{11}\,x^3+35\,c^3\,d^{12}\,x^4+21\,c^2\,d^{13}\,x^5+7\,c\,d^{14}\,x^6+d^{15}\,x^7}","Not used",1,"(b^8*x)/d^8 - (log(c + d*x)*(8*b^8*c - 8*a*b^7*d))/d^9 - (x^4*((70*a^4*b^4*d^7)/3 + (910*b^8*c^4*d^3)/3 - (1540*a*b^7*c^3*d^4)/3 + (140*a^3*b^5*c*d^6)/3 + 140*a^2*b^6*c^2*d^5) + x^6*(28*a^2*b^6*d^7 + 28*b^8*c^2*d^5 - 56*a*b^7*c*d^6) + (15*a^8*d^8 + 1443*b^8*c^8 + 420*a^2*b^6*c^6*d^2 + 140*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 + 42*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 2178*a*b^7*c^7*d + 20*a^7*b*c*d^7)/(105*d) + x*((446*b^8*c^7)/5 + (4*a^7*b*d^7)/3 + (28*a^6*b^2*c*d^6)/15 + 28*a^2*b^6*c^5*d^2 + (28*a^3*b^5*c^4*d^3)/3 + (14*a^4*b^4*c^3*d^4)/3 + (14*a^5*b^3*c^2*d^5)/5 - (686*a*b^7*c^6*d)/5) + x^3*(14*a^5*b^3*d^7 + (1078*b^8*c^5*d^2)/3 - (1750*a*b^7*c^4*d^3)/3 + (70*a^4*b^4*c*d^6)/3 + 140*a^2*b^6*c^3*d^4 + (140*a^3*b^5*c^2*d^5)/3) + x^2*((1218*b^8*c^6*d)/5 + (28*a^6*b^2*d^7)/5 - (1918*a*b^7*c^5*d^2)/5 + (42*a^5*b^3*c*d^6)/5 + 84*a^2*b^6*c^4*d^3 + 28*a^3*b^5*c^3*d^4 + 14*a^4*b^4*c^2*d^5) + x^5*(28*a^3*b^5*d^7 + 140*b^8*c^3*d^4 - 252*a*b^7*c^2*d^5 + 84*a^2*b^6*c*d^6))/(c^7*d^8 + d^15*x^7 + 7*c^6*d^9*x + 7*c*d^14*x^6 + 21*c^5*d^10*x^2 + 35*c^4*d^11*x^3 + 35*c^3*d^12*x^4 + 21*c^2*d^13*x^5)","B"
1364,1,460,194,0.383393,"\text{Not used}","int((a + b*x)^7/(c + d*x)^8,x)","\frac{b^7\,\ln\left(c+d\,x\right)}{d^8}-\frac{x\,\left(\frac{7\,a^6\,b\,d^7}{6}+\frac{7\,a^5\,b^2\,c\,d^6}{5}+\frac{7\,a^4\,b^3\,c^2\,d^5}{4}+\frac{7\,a^3\,b^4\,c^3\,d^4}{3}+\frac{7\,a^2\,b^5\,c^4\,d^3}{2}+7\,a\,b^6\,c^5\,d^2-\frac{343\,b^7\,c^6\,d}{20}\right)+x^6\,\left(7\,a\,b^6\,d^7-7\,b^7\,c\,d^6\right)+x^3\,\left(\frac{35\,a^4\,b^3\,d^7}{4}+\frac{35\,a^3\,b^4\,c\,d^6}{3}+\frac{35\,a^2\,b^5\,c^2\,d^5}{2}+35\,a\,b^6\,c^3\,d^4-\frac{875\,b^7\,c^4\,d^3}{12}\right)+x^5\,\left(\frac{21\,a^2\,b^5\,d^7}{2}+21\,a\,b^6\,c\,d^6-\frac{63\,b^7\,c^2\,d^5}{2}\right)+x^2\,\left(\frac{21\,a^5\,b^2\,d^7}{5}+\frac{21\,a^4\,b^3\,c\,d^6}{4}+7\,a^3\,b^4\,c^2\,d^5+\frac{21\,a^2\,b^5\,c^3\,d^4}{2}+21\,a\,b^6\,c^4\,d^3-\frac{959\,b^7\,c^5\,d^2}{20}\right)+\frac{a^7\,d^7}{7}-\frac{363\,b^7\,c^7}{140}+x^4\,\left(\frac{35\,a^3\,b^4\,d^7}{3}+\frac{35\,a^2\,b^5\,c\,d^6}{2}+35\,a\,b^6\,c^2\,d^5-\frac{385\,b^7\,c^3\,d^4}{6}\right)+\frac{a^2\,b^5\,c^5\,d^2}{2}+\frac{a^3\,b^4\,c^4\,d^3}{3}+\frac{a^4\,b^3\,c^3\,d^4}{4}+\frac{a^5\,b^2\,c^2\,d^5}{5}+a\,b^6\,c^6\,d+\frac{a^6\,b\,c\,d^6}{6}}{d^8\,{\left(c+d\,x\right)}^7}","Not used",1,"(b^7*log(c + d*x))/d^8 - (x*((7*a^6*b*d^7)/6 - (343*b^7*c^6*d)/20 + 7*a*b^6*c^5*d^2 + (7*a^5*b^2*c*d^6)/5 + (7*a^2*b^5*c^4*d^3)/2 + (7*a^3*b^4*c^3*d^4)/3 + (7*a^4*b^3*c^2*d^5)/4) + x^6*(7*a*b^6*d^7 - 7*b^7*c*d^6) + x^3*((35*a^4*b^3*d^7)/4 - (875*b^7*c^4*d^3)/12 + 35*a*b^6*c^3*d^4 + (35*a^3*b^4*c*d^6)/3 + (35*a^2*b^5*c^2*d^5)/2) + x^5*((21*a^2*b^5*d^7)/2 - (63*b^7*c^2*d^5)/2 + 21*a*b^6*c*d^6) + x^2*((21*a^5*b^2*d^7)/5 - (959*b^7*c^5*d^2)/20 + 21*a*b^6*c^4*d^3 + (21*a^4*b^3*c*d^6)/4 + (21*a^2*b^5*c^3*d^4)/2 + 7*a^3*b^4*c^2*d^5) + (a^7*d^7)/7 - (363*b^7*c^7)/140 + x^4*((35*a^3*b^4*d^7)/3 - (385*b^7*c^3*d^4)/6 + 35*a*b^6*c^2*d^5 + (35*a^2*b^5*c*d^6)/2) + (a^2*b^5*c^5*d^2)/2 + (a^3*b^4*c^4*d^3)/3 + (a^4*b^3*c^3*d^4)/4 + (a^5*b^2*c^2*d^5)/5 + a*b^6*c^6*d + (a^6*b*c*d^6)/6)/(d^8*(c + d*x)^7)","B"
1365,1,378,28,0.145572,"\text{Not used}","int((a + b*x)^6/(c + d*x)^8,x)","-\frac{\frac{a^6\,d^6+a^5\,b\,c\,d^5+a^4\,b^2\,c^2\,d^4+a^3\,b^3\,c^3\,d^3+a^2\,b^4\,c^4\,d^2+a\,b^5\,c^5\,d+b^6\,c^6}{7\,d^7}+\frac{b^6\,x^6}{d}+\frac{5\,b^3\,x^3\,\left(a^3\,d^3+a^2\,b\,c\,d^2+a\,b^2\,c^2\,d+b^3\,c^3\right)}{d^4}+\frac{b\,x\,\left(a^5\,d^5+a^4\,b\,c\,d^4+a^3\,b^2\,c^2\,d^3+a^2\,b^3\,c^3\,d^2+a\,b^4\,c^4\,d+b^5\,c^5\right)}{d^6}+\frac{3\,b^5\,x^5\,\left(a\,d+b\,c\right)}{d^2}+\frac{3\,b^2\,x^2\,\left(a^4\,d^4+a^3\,b\,c\,d^3+a^2\,b^2\,c^2\,d^2+a\,b^3\,c^3\,d+b^4\,c^4\right)}{d^5}+\frac{5\,b^4\,x^4\,\left(a^2\,d^2+a\,b\,c\,d+b^2\,c^2\right)}{d^3}}{c^7+7\,c^6\,d\,x+21\,c^5\,d^2\,x^2+35\,c^4\,d^3\,x^3+35\,c^3\,d^4\,x^4+21\,c^2\,d^5\,x^5+7\,c\,d^6\,x^6+d^7\,x^7}","Not used",1,"-((a^6*d^6 + b^6*c^6 + a^2*b^4*c^4*d^2 + a^3*b^3*c^3*d^3 + a^4*b^2*c^2*d^4 + a*b^5*c^5*d + a^5*b*c*d^5)/(7*d^7) + (b^6*x^6)/d + (5*b^3*x^3*(a^3*d^3 + b^3*c^3 + a*b^2*c^2*d + a^2*b*c*d^2))/d^4 + (b*x*(a^5*d^5 + b^5*c^5 + a^2*b^3*c^3*d^2 + a^3*b^2*c^2*d^3 + a*b^4*c^4*d + a^4*b*c*d^4))/d^6 + (3*b^5*x^5*(a*d + b*c))/d^2 + (3*b^2*x^2*(a^4*d^4 + b^4*c^4 + a^2*b^2*c^2*d^2 + a*b^3*c^3*d + a^3*b*c*d^3))/d^5 + (5*b^4*x^4*(a^2*d^2 + b^2*c^2 + a*b*c*d))/d^3)/(c^7 + d^7*x^7 + 7*c*d^6*x^6 + 21*c^5*d^2*x^2 + 35*c^4*d^3*x^3 + 35*c^3*d^4*x^4 + 21*c^2*d^5*x^5 + 7*c^6*d*x)","B"
1366,1,39,58,0.277000,"\text{Not used}","int((a + b*x)^5/(c + d*x)^8,x)","\frac{{\left(a+b\,x\right)}^6\,\left(7\,b\,c-6\,a\,d+b\,d\,x\right)}{42\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^7}","Not used",1,"((a + b*x)^6*(7*b*c - 6*a*d + b*d*x))/(42*(a*d - b*c)^2*(c + d*x)^7)","B"
1367,1,237,89,0.109968,"\text{Not used}","int((a + b*x)^4/(c + d*x)^8,x)","-\frac{\frac{15\,a^4\,d^4+10\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2+3\,a\,b^3\,c^3\,d+b^4\,c^4}{105\,d^5}+\frac{b^4\,x^4}{3\,d}+\frac{b^3\,x^3\,\left(3\,a\,d+b\,c\right)}{3\,d^2}+\frac{b\,x\,\left(10\,a^3\,d^3+6\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{15\,d^4}+\frac{b^2\,x^2\,\left(6\,a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)}{5\,d^3}}{c^7+7\,c^6\,d\,x+21\,c^5\,d^2\,x^2+35\,c^4\,d^3\,x^3+35\,c^3\,d^4\,x^4+21\,c^2\,d^5\,x^5+7\,c\,d^6\,x^6+d^7\,x^7}","Not used",1,"-((15*a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 + 3*a*b^3*c^3*d + 10*a^3*b*c*d^3)/(105*d^5) + (b^4*x^4)/(3*d) + (b^3*x^3*(3*a*d + b*c))/(3*d^2) + (b*x*(10*a^3*d^3 + b^3*c^3 + 3*a*b^2*c^2*d + 6*a^2*b*c*d^2))/(15*d^4) + (b^2*x^2*(6*a^2*d^2 + b^2*c^2 + 3*a*b*c*d))/(5*d^3))/(c^7 + d^7*x^7 + 7*c*d^6*x^6 + 21*c^5*d^2*x^2 + 35*c^4*d^3*x^3 + 35*c^3*d^4*x^4 + 21*c^2*d^5*x^5 + 7*c^6*d*x)","B"
1368,1,176,92,0.099035,"\text{Not used}","int((a + b*x)^3/(c + d*x)^8,x)","-\frac{\frac{20\,a^3\,d^3+10\,a^2\,b\,c\,d^2+4\,a\,b^2\,c^2\,d+b^3\,c^3}{140\,d^4}+\frac{b^3\,x^3}{4\,d}+\frac{b\,x\,\left(10\,a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{20\,d^3}+\frac{3\,b^2\,x^2\,\left(4\,a\,d+b\,c\right)}{20\,d^2}}{c^7+7\,c^6\,d\,x+21\,c^5\,d^2\,x^2+35\,c^4\,d^3\,x^3+35\,c^3\,d^4\,x^4+21\,c^2\,d^5\,x^5+7\,c\,d^6\,x^6+d^7\,x^7}","Not used",1,"-((20*a^3*d^3 + b^3*c^3 + 4*a*b^2*c^2*d + 10*a^2*b*c*d^2)/(140*d^4) + (b^3*x^3)/(4*d) + (b*x*(10*a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(20*d^3) + (3*b^2*x^2*(4*a*d + b*c))/(20*d^2))/(c^7 + d^7*x^7 + 7*c*d^6*x^6 + 21*c^5*d^2*x^2 + 35*c^4*d^3*x^3 + 35*c^3*d^4*x^4 + 21*c^2*d^5*x^5 + 7*c^6*d*x)","B"
1369,1,129,65,0.086242,"\text{Not used}","int((a + b*x)^2/(c + d*x)^8,x)","-\frac{\frac{15\,a^2\,d^2+5\,a\,b\,c\,d+b^2\,c^2}{105\,d^3}+\frac{b^2\,x^2}{5\,d}+\frac{b\,x\,\left(5\,a\,d+b\,c\right)}{15\,d^2}}{c^7+7\,c^6\,d\,x+21\,c^5\,d^2\,x^2+35\,c^4\,d^3\,x^3+35\,c^3\,d^4\,x^4+21\,c^2\,d^5\,x^5+7\,c\,d^6\,x^6+d^7\,x^7}","Not used",1,"-((15*a^2*d^2 + b^2*c^2 + 5*a*b*c*d)/(105*d^3) + (b^2*x^2)/(5*d) + (b*x*(5*a*d + b*c))/(15*d^2))/(c^7 + d^7*x^7 + 7*c*d^6*x^6 + 21*c^5*d^2*x^2 + 35*c^4*d^3*x^3 + 35*c^3*d^4*x^4 + 21*c^2*d^5*x^5 + 7*c^6*d*x)","B"
1370,1,96,38,0.226350,"\text{Not used}","int((a + b*x)/(c + d*x)^8,x)","-\frac{\frac{6\,a\,d+b\,c}{42\,d^2}+\frac{b\,x}{6\,d}}{c^7+7\,c^6\,d\,x+21\,c^5\,d^2\,x^2+35\,c^4\,d^3\,x^3+35\,c^3\,d^4\,x^4+21\,c^2\,d^5\,x^5+7\,c\,d^6\,x^6+d^7\,x^7}","Not used",1,"-((6*a*d + b*c)/(42*d^2) + (b*x)/(6*d))/(c^7 + d^7*x^7 + 7*c*d^6*x^6 + 21*c^5*d^2*x^2 + 35*c^4*d^3*x^3 + 35*c^3*d^4*x^4 + 21*c^2*d^5*x^5 + 7*c^6*d*x)","B"
1371,1,81,14,0.222816,"\text{Not used}","int(1/(c + d*x)^8,x)","-\frac{1}{7\,c^7\,d+49\,c^6\,d^2\,x+147\,c^5\,d^3\,x^2+245\,c^4\,d^4\,x^3+245\,c^3\,d^5\,x^4+147\,c^2\,d^6\,x^5+49\,c\,d^7\,x^6+7\,d^8\,x^7}","Not used",1,"-1/(7*c^7*d + 7*d^8*x^7 + 49*c^6*d^2*x + 49*c*d^7*x^6 + 147*c^5*d^3*x^2 + 245*c^4*d^4*x^3 + 245*c^3*d^5*x^4 + 147*c^2*d^6*x^5)","B"
1372,1,1299,202,0.873237,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^8),x)","\frac{2\,b^7\,\mathrm{atanh}\left(\frac{a^8\,d^8-6\,a^7\,b\,c\,d^7+14\,a^6\,b^2\,c^2\,d^6-14\,a^5\,b^3\,c^3\,d^5+14\,a^3\,b^5\,c^5\,d^3-14\,a^2\,b^6\,c^6\,d^2+6\,a\,b^7\,c^7\,d-b^8\,c^8}{{\left(a\,d-b\,c\right)}^8}+\frac{2\,b\,d\,x\,\left(a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7\right)}{{\left(a\,d-b\,c\right)}^8}\right)}{{\left(a\,d-b\,c\right)}^8}-\frac{\frac{60\,a^6\,d^6-430\,a^5\,b\,c\,d^5+1334\,a^4\,b^2\,c^2\,d^4-2341\,a^3\,b^3\,c^3\,d^3+2559\,a^2\,b^4\,c^4\,d^2-1851\,a\,b^5\,c^5\,d+1089\,b^6\,c^6}{420\,\left(a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7\right)}-\frac{b^3\,x^3\,\left(3\,a^3\,d^6-25\,a^2\,b\,c\,d^5+101\,a\,b^2\,c^2\,d^4-319\,b^3\,c^3\,d^3\right)}{12\,\left(a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7\right)}+\frac{b^6\,d^6\,x^6}{a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7}-\frac{b^5\,x^5\,\left(a\,d^6-13\,b\,c\,d^5\right)}{2\,\left(a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7\right)}+\frac{b^2\,x^2\,\left(4\,a^4\,d^6-31\,a^3\,b\,c\,d^5+109\,a^2\,b^2\,c^2\,d^4-241\,a\,b^3\,c^3\,d^3+459\,b^4\,c^4\,d^2\right)}{20\,\left(a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7\right)}+\frac{b^4\,x^4\,\left(2\,a^2\,d^6-19\,a\,b\,c\,d^5+107\,b^2\,c^2\,d^4\right)}{6\,\left(a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7\right)}-\frac{b\,x\,\left(10\,a^5\,d^6-74\,a^4\,b\,c\,d^5+241\,a^3\,b^2\,c^2\,d^4-459\,a^2\,b^3\,c^3\,d^3+591\,a\,b^4\,c^4\,d^2-669\,b^5\,c^5\,d\right)}{60\,\left(a^7\,d^7-7\,a^6\,b\,c\,d^6+21\,a^5\,b^2\,c^2\,d^5-35\,a^4\,b^3\,c^3\,d^4+35\,a^3\,b^4\,c^4\,d^3-21\,a^2\,b^5\,c^5\,d^2+7\,a\,b^6\,c^6\,d-b^7\,c^7\right)}}{c^7+7\,c^6\,d\,x+21\,c^5\,d^2\,x^2+35\,c^4\,d^3\,x^3+35\,c^3\,d^4\,x^4+21\,c^2\,d^5\,x^5+7\,c\,d^6\,x^6+d^7\,x^7}","Not used",1,"(2*b^7*atanh((a^8*d^8 - b^8*c^8 - 14*a^2*b^6*c^6*d^2 + 14*a^3*b^5*c^5*d^3 - 14*a^5*b^3*c^3*d^5 + 14*a^6*b^2*c^2*d^6 + 6*a*b^7*c^7*d - 6*a^7*b*c*d^7)/(a*d - b*c)^8 + (2*b*d*x*(a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6))/(a*d - b*c)^8))/(a*d - b*c)^8 - ((60*a^6*d^6 + 1089*b^6*c^6 + 2559*a^2*b^4*c^4*d^2 - 2341*a^3*b^3*c^3*d^3 + 1334*a^4*b^2*c^2*d^4 - 1851*a*b^5*c^5*d - 430*a^5*b*c*d^5)/(420*(a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6)) - (b^3*x^3*(3*a^3*d^6 - 319*b^3*c^3*d^3 + 101*a*b^2*c^2*d^4 - 25*a^2*b*c*d^5))/(12*(a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6)) + (b^6*d^6*x^6)/(a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6) - (b^5*x^5*(a*d^6 - 13*b*c*d^5))/(2*(a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6)) + (b^2*x^2*(4*a^4*d^6 + 459*b^4*c^4*d^2 - 241*a*b^3*c^3*d^3 + 109*a^2*b^2*c^2*d^4 - 31*a^3*b*c*d^5))/(20*(a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6)) + (b^4*x^4*(2*a^2*d^6 + 107*b^2*c^2*d^4 - 19*a*b*c*d^5))/(6*(a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6)) - (b*x*(10*a^5*d^6 - 669*b^5*c^5*d + 591*a*b^4*c^4*d^2 - 459*a^2*b^3*c^3*d^3 + 241*a^3*b^2*c^2*d^4 - 74*a^4*b*c*d^5))/(60*(a^7*d^7 - b^7*c^7 - 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 - 35*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 7*a*b^6*c^6*d - 7*a^6*b*c*d^6)))/(c^7 + d^7*x^7 + 7*c*d^6*x^6 + 21*c^5*d^2*x^2 + 35*c^4*d^3*x^3 + 35*c^3*d^4*x^4 + 21*c^2*d^5*x^5 + 7*c^6*d*x)","B"
1373,1,1738,231,1.385918,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)^8),x)","\frac{16\,b^7\,d\,\mathrm{atanh}\left(\frac{a^9\,d^9-7\,a^8\,b\,c\,d^8+20\,a^7\,b^2\,c^2\,d^7-28\,a^6\,b^3\,c^3\,d^6+14\,a^5\,b^4\,c^4\,d^5+14\,a^4\,b^5\,c^5\,d^4-28\,a^3\,b^6\,c^6\,d^3+20\,a^2\,b^7\,c^7\,d^2-7\,a\,b^8\,c^8\,d+b^9\,c^9}{{\left(a\,d-b\,c\right)}^9}+\frac{2\,b\,d\,x\,\left(a^8\,d^8-8\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6-56\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4-56\,a^3\,b^5\,c^5\,d^3+28\,a^2\,b^6\,c^6\,d^2-8\,a\,b^7\,c^7\,d+b^8\,c^8\right)}{{\left(a\,d-b\,c\right)}^9}\right)}{{\left(a\,d-b\,c\right)}^9}-\frac{\frac{15\,a^7\,d^7-125\,a^6\,b\,c\,d^6+463\,a^5\,b^2\,c^2\,d^5-1007\,a^4\,b^3\,c^3\,d^4+1443\,a^3\,b^4\,c^4\,d^3-1497\,a^2\,b^5\,c^5\,d^2+1443\,a\,b^6\,c^6\,d+105\,b^7\,c^7}{105\,\left(a^8\,d^8-8\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6-56\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4-56\,a^3\,b^5\,c^5\,d^3+28\,a^2\,b^6\,c^6\,d^2-8\,a\,b^7\,c^7\,d+b^8\,c^8\right)}+\frac{4\,b^5\,x^5\,\left(-a^2\,d^7+20\,a\,b\,c\,d^6+107\,b^2\,c^2\,d^5\right)}{3\,\left(a^8\,d^8-8\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6-56\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4-56\,a^3\,b^5\,c^5\,d^3+28\,a^2\,b^6\,c^6\,d^2-8\,a\,b^7\,c^7\,d+b^8\,c^8\right)}+\frac{2\,b^2\,x^2\,\left(2\,a^5\,d^7-19\,a^4\,b\,c\,d^6+86\,a^3\,b^2\,c^2\,d^5-264\,a^2\,b^3\,c^3\,d^4+786\,a\,b^4\,c^4\,d^3+669\,b^5\,c^5\,d^2\right)}{15\,\left(a^8\,d^8-8\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6-56\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4-56\,a^3\,b^5\,c^5\,d^3+28\,a^2\,b^6\,c^6\,d^2-8\,a\,b^7\,c^7\,d+b^8\,c^8\right)}+\frac{2\,b^4\,x^4\,\left(a^3\,d^7-13\,a^2\,b\,c\,d^6+113\,a\,b^2\,c^2\,d^5+319\,b^3\,c^3\,d^4\right)}{3\,\left(a^8\,d^8-8\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6-56\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4-56\,a^3\,b^5\,c^5\,d^3+28\,a^2\,b^6\,c^6\,d^2-8\,a\,b^7\,c^7\,d+b^8\,c^8\right)}+\frac{2\,b\,x\,\left(-10\,a^6\,d^7+88\,a^5\,b\,c\,d^6-353\,a^4\,b^2\,c^2\,d^5+872\,a^3\,b^3\,c^3\,d^4-1578\,a^2\,b^4\,c^4\,d^3+2832\,a\,b^5\,c^5\,d^2+1089\,b^6\,c^6\,d\right)}{105\,\left(a^8\,d^8-8\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6-56\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4-56\,a^3\,b^5\,c^5\,d^3+28\,a^2\,b^6\,c^6\,d^2-8\,a\,b^7\,c^7\,d+b^8\,c^8\right)}+\frac{8\,b^7\,d^7\,x^7}{a^8\,d^8-8\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6-56\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4-56\,a^3\,b^5\,c^5\,d^3+28\,a^2\,b^6\,c^6\,d^2-8\,a\,b^7\,c^7\,d+b^8\,c^8}+\frac{4\,b^6\,x^6\,\left(a\,d^7+13\,b\,c\,d^6\right)}{a^8\,d^8-8\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6-56\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4-56\,a^3\,b^5\,c^5\,d^3+28\,a^2\,b^6\,c^6\,d^2-8\,a\,b^7\,c^7\,d+b^8\,c^8}+\frac{2\,b^3\,x^3\,\left(-3\,a^4\,d^7+32\,a^3\,b\,c\,d^6-178\,a^2\,b^2\,c^2\,d^5+872\,a\,b^3\,c^3\,d^4+1377\,b^4\,c^4\,d^3\right)}{15\,\left(a^8\,d^8-8\,a^7\,b\,c\,d^7+28\,a^6\,b^2\,c^2\,d^6-56\,a^5\,b^3\,c^3\,d^5+70\,a^4\,b^4\,c^4\,d^4-56\,a^3\,b^5\,c^5\,d^3+28\,a^2\,b^6\,c^6\,d^2-8\,a\,b^7\,c^7\,d+b^8\,c^8\right)}}{x^7\,\left(a\,d^7+7\,b\,c\,d^6\right)+x^3\,\left(21\,b\,c^5\,d^2+35\,a\,c^4\,d^3\right)+x^5\,\left(35\,b\,c^3\,d^4+21\,a\,c^2\,d^5\right)+x^4\,\left(35\,b\,c^4\,d^3+35\,a\,c^3\,d^4\right)+a\,c^7+x\,\left(b\,c^7+7\,a\,d\,c^6\right)+x^2\,\left(7\,b\,c^6\,d+21\,a\,c^5\,d^2\right)+x^6\,\left(21\,b\,c^2\,d^5+7\,a\,c\,d^6\right)+b\,d^7\,x^8}","Not used",1,"(16*b^7*d*atanh((a^9*d^9 + b^9*c^9 + 20*a^2*b^7*c^7*d^2 - 28*a^3*b^6*c^6*d^3 + 14*a^4*b^5*c^5*d^4 + 14*a^5*b^4*c^4*d^5 - 28*a^6*b^3*c^3*d^6 + 20*a^7*b^2*c^2*d^7 - 7*a*b^8*c^8*d - 7*a^8*b*c*d^8)/(a*d - b*c)^9 + (2*b*d*x*(a^8*d^8 + b^8*c^8 + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a*b^7*c^7*d - 8*a^7*b*c*d^7))/(a*d - b*c)^9))/(a*d - b*c)^9 - ((15*a^7*d^7 + 105*b^7*c^7 - 1497*a^2*b^5*c^5*d^2 + 1443*a^3*b^4*c^4*d^3 - 1007*a^4*b^3*c^3*d^4 + 463*a^5*b^2*c^2*d^5 + 1443*a*b^6*c^6*d - 125*a^6*b*c*d^6)/(105*(a^8*d^8 + b^8*c^8 + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a*b^7*c^7*d - 8*a^7*b*c*d^7)) + (4*b^5*x^5*(107*b^2*c^2*d^5 - a^2*d^7 + 20*a*b*c*d^6))/(3*(a^8*d^8 + b^8*c^8 + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a*b^7*c^7*d - 8*a^7*b*c*d^7)) + (2*b^2*x^2*(2*a^5*d^7 + 669*b^5*c^5*d^2 + 786*a*b^4*c^4*d^3 - 264*a^2*b^3*c^3*d^4 + 86*a^3*b^2*c^2*d^5 - 19*a^4*b*c*d^6))/(15*(a^8*d^8 + b^8*c^8 + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a*b^7*c^7*d - 8*a^7*b*c*d^7)) + (2*b^4*x^4*(a^3*d^7 + 319*b^3*c^3*d^4 + 113*a*b^2*c^2*d^5 - 13*a^2*b*c*d^6))/(3*(a^8*d^8 + b^8*c^8 + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a*b^7*c^7*d - 8*a^7*b*c*d^7)) + (2*b*x*(1089*b^6*c^6*d - 10*a^6*d^7 + 2832*a*b^5*c^5*d^2 - 1578*a^2*b^4*c^4*d^3 + 872*a^3*b^3*c^3*d^4 - 353*a^4*b^2*c^2*d^5 + 88*a^5*b*c*d^6))/(105*(a^8*d^8 + b^8*c^8 + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a*b^7*c^7*d - 8*a^7*b*c*d^7)) + (8*b^7*d^7*x^7)/(a^8*d^8 + b^8*c^8 + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a*b^7*c^7*d - 8*a^7*b*c*d^7) + (4*b^6*x^6*(a*d^7 + 13*b*c*d^6))/(a^8*d^8 + b^8*c^8 + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a*b^7*c^7*d - 8*a^7*b*c*d^7) + (2*b^3*x^3*(1377*b^4*c^4*d^3 - 3*a^4*d^7 + 872*a*b^3*c^3*d^4 - 178*a^2*b^2*c^2*d^5 + 32*a^3*b*c*d^6))/(15*(a^8*d^8 + b^8*c^8 + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a*b^7*c^7*d - 8*a^7*b*c*d^7)))/(x^7*(a*d^7 + 7*b*c*d^6) + x^3*(35*a*c^4*d^3 + 21*b*c^5*d^2) + x^5*(21*a*c^2*d^5 + 35*b*c^3*d^4) + x^4*(35*a*c^3*d^4 + 35*b*c^4*d^3) + a*c^7 + x*(b*c^7 + 7*a*c^6*d) + x^2*(21*a*c^5*d^2 + 7*b*c^6*d) + x^6*(21*b*c^2*d^5 + 7*a*c*d^6) + b*d^7*x^8)","B"
1374,1,2224,276,1.910921,"\text{Not used}","int(1/((a + b*x)^3*(c + d*x)^8),x)","\frac{72\,b^7\,d^2\,\mathrm{atanh}\left(\frac{a^{10}\,d^{10}-8\,a^9\,b\,c\,d^9+27\,a^8\,b^2\,c^2\,d^8-48\,a^7\,b^3\,c^3\,d^7+42\,a^6\,b^4\,c^4\,d^6-42\,a^4\,b^6\,c^6\,d^4+48\,a^3\,b^7\,c^7\,d^3-27\,a^2\,b^8\,c^8\,d^2+8\,a\,b^9\,c^9\,d-b^{10}\,c^{10}}{{\left(a\,d-b\,c\right)}^{10}}+\frac{2\,b\,d\,x\,\left(a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9\right)}{{\left(a\,d-b\,c\right)}^{10}}\right)}{{\left(a\,d-b\,c\right)}^{10}}-\frac{\frac{10\,a^8\,d^8-95\,a^7\,b\,c\,d^7+409\,a^6\,b^2\,c^2\,d^6-1061\,a^5\,b^3\,c^3\,d^5+1879\,a^4\,b^4\,c^4\,d^4-2531\,a^3\,b^5\,c^5\,d^3+3349\,a^2\,b^6\,c^6\,d^2+595\,a\,b^7\,c^7\,d-35\,b^8\,c^8}{70\,\left(a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9\right)}+\frac{3\,b^2\,x^2\,\left(4\,a^6\,d^8-45\,a^5\,b\,c\,d^7+249\,a^4\,b^2\,c^2\,d^6-976\,a^3\,b^3\,c^3\,d^5+3924\,a^2\,b^4\,c^4\,d^4+7515\,a\,b^5\,c^5\,d^3+1089\,b^6\,c^6\,d^2\right)}{35\,\left(a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9\right)}+\frac{3\,b^4\,x^4\,\left(2\,a^4\,d^8-33\,a^3\,b\,c\,d^7+387\,a^2\,b^2\,c^2\,d^6+2467\,a\,b^3\,c^3\,d^5+1377\,b^4\,c^4\,d^4\right)}{5\,\left(a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9\right)}+\frac{3\,b\,x\,\left(-5\,a^7\,d^8+51\,a^6\,b\,c\,d^7-243\,a^5\,b^2\,c^2\,d^6+737\,a^4\,b^3\,c^3\,d^5-1713\,a^3\,b^4\,c^4\,d^4+4167\,a^2\,b^5\,c^5\,d^3+3621\,a\,b^6\,c^6\,d^2+105\,b^7\,c^7\,d\right)}{70\,\left(a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9\right)}+\frac{6\,b^6\,x^6\,\left(2\,a^2\,d^8+59\,a\,b\,c\,d^7+107\,b^2\,c^2\,d^6\right)}{a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9}+\frac{3\,b^3\,x^3\,\left(-a^5\,d^8+13\,a^4\,b\,c\,d^7-92\,a^3\,b^2\,c^2\,d^6+608\,a^2\,b^3\,c^3\,d^5+2163\,a\,b^4\,c^4\,d^4+669\,b^5\,c^5\,d^3\right)}{5\,\left(a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9\right)}+\frac{3\,b^5\,x^5\,\left(-a^3\,d^8+27\,a^2\,b\,c\,d^7+327\,a\,b^2\,c^2\,d^6+319\,b^3\,c^3\,d^5\right)}{a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9}+\frac{36\,b^8\,d^8\,x^8}{a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9}+\frac{18\,b^6\,d\,x^7\,\left(13\,c\,b^2\,d^6+3\,a\,b\,d^7\right)}{a^9\,d^9-9\,a^8\,b\,c\,d^8+36\,a^7\,b^2\,c^2\,d^7-84\,a^6\,b^3\,c^3\,d^6+126\,a^5\,b^4\,c^4\,d^5-126\,a^4\,b^5\,c^5\,d^4+84\,a^3\,b^6\,c^6\,d^3-36\,a^2\,b^7\,c^7\,d^2+9\,a\,b^8\,c^8\,d-b^9\,c^9}}{x^3\,\left(35\,a^2\,c^4\,d^3+42\,a\,b\,c^5\,d^2+7\,b^2\,c^6\,d\right)+x^6\,\left(7\,a^2\,c\,d^6+42\,a\,b\,c^2\,d^5+35\,b^2\,c^3\,d^4\right)+x\,\left(7\,d\,a^2\,c^6+2\,b\,a\,c^7\right)+x^2\,\left(21\,a^2\,c^5\,d^2+14\,a\,b\,c^6\,d+b^2\,c^7\right)+x^7\,\left(a^2\,d^7+14\,a\,b\,c\,d^6+21\,b^2\,c^2\,d^5\right)+x^4\,\left(35\,a^2\,c^3\,d^4+70\,a\,b\,c^4\,d^3+21\,b^2\,c^5\,d^2\right)+x^5\,\left(21\,a^2\,c^2\,d^5+70\,a\,b\,c^3\,d^4+35\,b^2\,c^4\,d^3\right)+x^8\,\left(7\,c\,b^2\,d^6+2\,a\,b\,d^7\right)+a^2\,c^7+b^2\,d^7\,x^9}","Not used",1,"(72*b^7*d^2*atanh((a^10*d^10 - b^10*c^10 - 27*a^2*b^8*c^8*d^2 + 48*a^3*b^7*c^7*d^3 - 42*a^4*b^6*c^6*d^4 + 42*a^6*b^4*c^4*d^6 - 48*a^7*b^3*c^3*d^7 + 27*a^8*b^2*c^2*d^8 + 8*a*b^9*c^9*d - 8*a^9*b*c*d^9)/(a*d - b*c)^10 + (2*b*d*x*(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8))/(a*d - b*c)^10))/(a*d - b*c)^10 - ((10*a^8*d^8 - 35*b^8*c^8 + 3349*a^2*b^6*c^6*d^2 - 2531*a^3*b^5*c^5*d^3 + 1879*a^4*b^4*c^4*d^4 - 1061*a^5*b^3*c^3*d^5 + 409*a^6*b^2*c^2*d^6 + 595*a*b^7*c^7*d - 95*a^7*b*c*d^7)/(70*(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8)) + (3*b^2*x^2*(4*a^6*d^8 + 1089*b^6*c^6*d^2 + 7515*a*b^5*c^5*d^3 + 3924*a^2*b^4*c^4*d^4 - 976*a^3*b^3*c^3*d^5 + 249*a^4*b^2*c^2*d^6 - 45*a^5*b*c*d^7))/(35*(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8)) + (3*b^4*x^4*(2*a^4*d^8 + 1377*b^4*c^4*d^4 + 2467*a*b^3*c^3*d^5 + 387*a^2*b^2*c^2*d^6 - 33*a^3*b*c*d^7))/(5*(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8)) + (3*b*x*(105*b^7*c^7*d - 5*a^7*d^8 + 3621*a*b^6*c^6*d^2 + 4167*a^2*b^5*c^5*d^3 - 1713*a^3*b^4*c^4*d^4 + 737*a^4*b^3*c^3*d^5 - 243*a^5*b^2*c^2*d^6 + 51*a^6*b*c*d^7))/(70*(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8)) + (6*b^6*x^6*(2*a^2*d^8 + 107*b^2*c^2*d^6 + 59*a*b*c*d^7))/(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8) + (3*b^3*x^3*(669*b^5*c^5*d^3 - a^5*d^8 + 2163*a*b^4*c^4*d^4 + 608*a^2*b^3*c^3*d^5 - 92*a^3*b^2*c^2*d^6 + 13*a^4*b*c*d^7))/(5*(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8)) + (3*b^5*x^5*(319*b^3*c^3*d^5 - a^3*d^8 + 327*a*b^2*c^2*d^6 + 27*a^2*b*c*d^7))/(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8) + (36*b^8*d^8*x^8)/(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8) + (18*b^6*d*x^7*(13*b^2*c*d^6 + 3*a*b*d^7))/(a^9*d^9 - b^9*c^9 - 36*a^2*b^7*c^7*d^2 + 84*a^3*b^6*c^6*d^3 - 126*a^4*b^5*c^5*d^4 + 126*a^5*b^4*c^4*d^5 - 84*a^6*b^3*c^3*d^6 + 36*a^7*b^2*c^2*d^7 + 9*a*b^8*c^8*d - 9*a^8*b*c*d^8))/(x^3*(7*b^2*c^6*d + 35*a^2*c^4*d^3 + 42*a*b*c^5*d^2) + x^6*(7*a^2*c*d^6 + 35*b^2*c^3*d^4 + 42*a*b*c^2*d^5) + x*(7*a^2*c^6*d + 2*a*b*c^7) + x^2*(b^2*c^7 + 21*a^2*c^5*d^2 + 14*a*b*c^6*d) + x^7*(a^2*d^7 + 21*b^2*c^2*d^5 + 14*a*b*c*d^6) + x^4*(35*a^2*c^3*d^4 + 21*b^2*c^5*d^2 + 70*a*b*c^4*d^3) + x^5*(21*a^2*c^2*d^5 + 35*b^2*c^4*d^3 + 70*a*b*c^3*d^4) + x^8*(7*b^2*c*d^6 + 2*a*b*d^7) + a^2*c^7 + b^2*d^7*x^9)","B"
1375,1,137,156,0.080954,"\text{Not used}","int((a + b*x)^5*(c + d*x)^(1/2),x)","\frac{2\,b^5\,{\left(c+d\,x\right)}^{13/2}}{13\,d^6}-\frac{\left(10\,b^5\,c-10\,a\,b^4\,d\right)\,{\left(c+d\,x\right)}^{11/2}}{11\,d^6}+\frac{2\,{\left(a\,d-b\,c\right)}^5\,{\left(c+d\,x\right)}^{3/2}}{3\,d^6}+\frac{20\,b^2\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{7/2}}{7\,d^6}+\frac{20\,b^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{9/2}}{9\,d^6}+\frac{2\,b\,{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{5/2}}{d^6}","Not used",1,"(2*b^5*(c + d*x)^(13/2))/(13*d^6) - ((10*b^5*c - 10*a*b^4*d)*(c + d*x)^(11/2))/(11*d^6) + (2*(a*d - b*c)^5*(c + d*x)^(3/2))/(3*d^6) + (20*b^2*(a*d - b*c)^3*(c + d*x)^(7/2))/(7*d^6) + (20*b^3*(a*d - b*c)^2*(c + d*x)^(9/2))/(9*d^6) + (2*b*(a*d - b*c)^4*(c + d*x)^(5/2))/d^6","B"
1376,1,112,129,0.224889,"\text{Not used}","int((a + b*x)^4*(c + d*x)^(1/2),x)","\frac{2\,b^4\,{\left(c+d\,x\right)}^{11/2}}{11\,d^5}-\frac{\left(8\,b^4\,c-8\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^{9/2}}{9\,d^5}+\frac{2\,{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{3/2}}{3\,d^5}+\frac{12\,b^2\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{7/2}}{7\,d^5}+\frac{8\,b\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{5/2}}{5\,d^5}","Not used",1,"(2*b^4*(c + d*x)^(11/2))/(11*d^5) - ((8*b^4*c - 8*a*b^3*d)*(c + d*x)^(9/2))/(9*d^5) + (2*(a*d - b*c)^4*(c + d*x)^(3/2))/(3*d^5) + (12*b^2*(a*d - b*c)^2*(c + d*x)^(7/2))/(7*d^5) + (8*b*(a*d - b*c)^3*(c + d*x)^(5/2))/(5*d^5)","B"
1377,1,87,100,0.065178,"\text{Not used}","int((a + b*x)^3*(c + d*x)^(1/2),x)","\frac{2\,b^3\,{\left(c+d\,x\right)}^{9/2}}{9\,d^4}-\frac{\left(6\,b^3\,c-6\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^{7/2}}{7\,d^4}+\frac{2\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{3/2}}{3\,d^4}+\frac{6\,b\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{5/2}}{5\,d^4}","Not used",1,"(2*b^3*(c + d*x)^(9/2))/(9*d^4) - ((6*b^3*c - 6*a*b^2*d)*(c + d*x)^(7/2))/(7*d^4) + (2*(a*d - b*c)^3*(c + d*x)^(3/2))/(3*d^4) + (6*b*(a*d - b*c)^2*(c + d*x)^(5/2))/(5*d^4)","B"
1378,1,68,71,0.239858,"\text{Not used}","int((a + b*x)^2*(c + d*x)^(1/2),x)","\frac{2\,{\left(c+d\,x\right)}^{3/2}\,\left(15\,b^2\,{\left(c+d\,x\right)}^2+35\,a^2\,d^2+35\,b^2\,c^2-42\,b^2\,c\,\left(c+d\,x\right)+42\,a\,b\,d\,\left(c+d\,x\right)-70\,a\,b\,c\,d\right)}{105\,d^3}","Not used",1,"(2*(c + d*x)^(3/2)*(15*b^2*(c + d*x)^2 + 35*a^2*d^2 + 35*b^2*c^2 - 42*b^2*c*(c + d*x) + 42*a*b*d*(c + d*x) - 70*a*b*c*d))/(105*d^3)","B"
1379,1,29,42,0.043321,"\text{Not used}","int((a + b*x)*(c + d*x)^(1/2),x)","\frac{2\,{\left(c+d\,x\right)}^{3/2}\,\left(5\,a\,d-5\,b\,c+3\,b\,\left(c+d\,x\right)\right)}{15\,d^2}","Not used",1,"(2*(c + d*x)^(3/2)*(5*a*d - 5*b*c + 3*b*(c + d*x)))/(15*d^2)","B"
1380,1,12,16,0.021002,"\text{Not used}","int((c + d*x)^(1/2),x)","\frac{2\,{\left(c+d\,x\right)}^{3/2}}{3\,d}","Not used",1,"(2*(c + d*x)^(3/2))/(3*d)","B"
1381,1,50,62,0.065731,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x),x)","\frac{2\,\sqrt{c+d\,x}}{b}-\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)\,\sqrt{a\,d-b\,c}}{b^{3/2}}","Not used",1,"(2*(c + d*x)^(1/2))/b - (2*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2))*(a*d - b*c)^(1/2))/b^(3/2)","B"
1382,1,61,70,0.242350,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^2,x)","\frac{d\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{b^{3/2}\,\sqrt{a\,d-b\,c}}-\frac{d\,\sqrt{c+d\,x}}{d\,x\,b^2+a\,d\,b}","Not used",1,"(d*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(b^(3/2)*(a*d - b*c)^(1/2)) - (d*(c + d*x)^(1/2))/(a*b*d + b^2*d*x)","B"
1383,1,135,110,0.302374,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^3,x)","\frac{d^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{4\,b^{3/2}\,{\left(a\,d-b\,c\right)}^{3/2}}-\frac{\frac{d^2\,\sqrt{c+d\,x}}{4\,b}-\frac{d^2\,{\left(c+d\,x\right)}^{3/2}}{4\,\left(a\,d-b\,c\right)}}{b^2\,{\left(c+d\,x\right)}^2-\left(2\,b^2\,c-2\,a\,b\,d\right)\,\left(c+d\,x\right)+a^2\,d^2+b^2\,c^2-2\,a\,b\,c\,d}","Not used",1,"(d^2*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(4*b^(3/2)*(a*d - b*c)^(3/2)) - ((d^2*(c + d*x)^(1/2))/(4*b) - (d^2*(c + d*x)^(3/2))/(4*(a*d - b*c)))/(b^2*(c + d*x)^2 - (2*b^2*c - 2*a*b*d)*(c + d*x) + a^2*d^2 + b^2*c^2 - 2*a*b*c*d)","B"
1384,1,207,146,0.373993,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^4,x)","\frac{\frac{d^3\,{\left(c+d\,x\right)}^{3/2}}{3\,\left(a\,d-b\,c\right)}-\frac{d^3\,\sqrt{c+d\,x}}{8\,b}+\frac{b\,d^3\,{\left(c+d\,x\right)}^{5/2}}{8\,{\left(a\,d-b\,c\right)}^2}}{\left(c+d\,x\right)\,\left(3\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+3\,b^3\,c^2\right)+b^3\,{\left(c+d\,x\right)}^3-\left(3\,b^3\,c-3\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^2+a^3\,d^3-b^3\,c^3+3\,a\,b^2\,c^2\,d-3\,a^2\,b\,c\,d^2}+\frac{d^3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{8\,b^{3/2}\,{\left(a\,d-b\,c\right)}^{5/2}}","Not used",1,"((d^3*(c + d*x)^(3/2))/(3*(a*d - b*c)) - (d^3*(c + d*x)^(1/2))/(8*b) + (b*d^3*(c + d*x)^(5/2))/(8*(a*d - b*c)^2))/((c + d*x)*(3*b^3*c^2 + 3*a^2*b*d^2 - 6*a*b^2*c*d) + b^3*(c + d*x)^3 - (3*b^3*c - 3*a*b^2*d)*(c + d*x)^2 + a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2) + (d^3*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(8*b^(3/2)*(a*d - b*c)^(5/2))","B"
1385,1,297,182,0.216654,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^5,x)","\frac{\frac{73\,d^4\,{\left(c+d\,x\right)}^{3/2}}{192\,\left(a\,d-b\,c\right)}-\frac{5\,d^4\,\sqrt{c+d\,x}}{64\,b}+\frac{5\,b^2\,d^4\,{\left(c+d\,x\right)}^{7/2}}{64\,{\left(a\,d-b\,c\right)}^3}+\frac{55\,b\,d^4\,{\left(c+d\,x\right)}^{5/2}}{192\,{\left(a\,d-b\,c\right)}^2}}{b^4\,{\left(c+d\,x\right)}^4-\left(4\,b^4\,c-4\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^3-\left(c+d\,x\right)\,\left(-4\,a^3\,b\,d^3+12\,a^2\,b^2\,c\,d^2-12\,a\,b^3\,c^2\,d+4\,b^4\,c^3\right)+a^4\,d^4+b^4\,c^4+{\left(c+d\,x\right)}^2\,\left(6\,a^2\,b^2\,d^2-12\,a\,b^3\,c\,d+6\,b^4\,c^2\right)+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d-4\,a^3\,b\,c\,d^3}+\frac{5\,d^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{64\,b^{3/2}\,{\left(a\,d-b\,c\right)}^{7/2}}","Not used",1,"((73*d^4*(c + d*x)^(3/2))/(192*(a*d - b*c)) - (5*d^4*(c + d*x)^(1/2))/(64*b) + (5*b^2*d^4*(c + d*x)^(7/2))/(64*(a*d - b*c)^3) + (55*b*d^4*(c + d*x)^(5/2))/(192*(a*d - b*c)^2))/(b^4*(c + d*x)^4 - (4*b^4*c - 4*a*b^3*d)*(c + d*x)^3 - (c + d*x)*(4*b^4*c^3 - 4*a^3*b*d^3 + 12*a^2*b^2*c*d^2 - 12*a*b^3*c^2*d) + a^4*d^4 + b^4*c^4 + (c + d*x)^2*(6*b^4*c^2 + 6*a^2*b^2*d^2 - 12*a*b^3*c*d) + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3) + (5*d^4*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(64*b^(3/2)*(a*d - b*c)^(7/2))","B"
1386,1,401,218,0.490372,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^6,x)","\frac{\frac{79\,d^5\,{\left(c+d\,x\right)}^{3/2}}{192\,\left(a\,d-b\,c\right)}-\frac{7\,d^5\,\sqrt{c+d\,x}}{128\,b}+\frac{49\,b^2\,d^5\,{\left(c+d\,x\right)}^{7/2}}{192\,{\left(a\,d-b\,c\right)}^3}+\frac{7\,b^3\,d^5\,{\left(c+d\,x\right)}^{9/2}}{128\,{\left(a\,d-b\,c\right)}^4}+\frac{7\,b\,d^5\,{\left(c+d\,x\right)}^{5/2}}{15\,{\left(a\,d-b\,c\right)}^2}}{b^5\,{\left(c+d\,x\right)}^5-{\left(c+d\,x\right)}^2\,\left(-10\,a^3\,b^2\,d^3+30\,a^2\,b^3\,c\,d^2-30\,a\,b^4\,c^2\,d+10\,b^5\,c^3\right)-\left(5\,b^5\,c-5\,a\,b^4\,d\right)\,{\left(c+d\,x\right)}^4+a^5\,d^5-b^5\,c^5+{\left(c+d\,x\right)}^3\,\left(10\,a^2\,b^3\,d^2-20\,a\,b^4\,c\,d+10\,b^5\,c^2\right)+\left(c+d\,x\right)\,\left(5\,a^4\,b\,d^4-20\,a^3\,b^2\,c\,d^3+30\,a^2\,b^3\,c^2\,d^2-20\,a\,b^4\,c^3\,d+5\,b^5\,c^4\right)-10\,a^2\,b^3\,c^3\,d^2+10\,a^3\,b^2\,c^2\,d^3+5\,a\,b^4\,c^4\,d-5\,a^4\,b\,c\,d^4}+\frac{7\,d^5\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{128\,b^{3/2}\,{\left(a\,d-b\,c\right)}^{9/2}}","Not used",1,"((79*d^5*(c + d*x)^(3/2))/(192*(a*d - b*c)) - (7*d^5*(c + d*x)^(1/2))/(128*b) + (49*b^2*d^5*(c + d*x)^(7/2))/(192*(a*d - b*c)^3) + (7*b^3*d^5*(c + d*x)^(9/2))/(128*(a*d - b*c)^4) + (7*b*d^5*(c + d*x)^(5/2))/(15*(a*d - b*c)^2))/(b^5*(c + d*x)^5 - (c + d*x)^2*(10*b^5*c^3 - 10*a^3*b^2*d^3 + 30*a^2*b^3*c*d^2 - 30*a*b^4*c^2*d) - (5*b^5*c - 5*a*b^4*d)*(c + d*x)^4 + a^5*d^5 - b^5*c^5 + (c + d*x)^3*(10*b^5*c^2 + 10*a^2*b^3*d^2 - 20*a*b^4*c*d) + (c + d*x)*(5*b^5*c^4 + 5*a^4*b*d^4 - 20*a^3*b^2*c*d^3 + 30*a^2*b^3*c^2*d^2 - 20*a*b^4*c^3*d) - 10*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 5*a*b^4*c^4*d - 5*a^4*b*c*d^4) + (7*d^5*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(128*b^(3/2)*(a*d - b*c)^(9/2))","B"
1387,1,137,158,0.244417,"\text{Not used}","int((a + b*x)^5*(c + d*x)^(3/2),x)","\frac{2\,b^5\,{\left(c+d\,x\right)}^{15/2}}{15\,d^6}-\frac{\left(10\,b^5\,c-10\,a\,b^4\,d\right)\,{\left(c+d\,x\right)}^{13/2}}{13\,d^6}+\frac{2\,{\left(a\,d-b\,c\right)}^5\,{\left(c+d\,x\right)}^{5/2}}{5\,d^6}+\frac{20\,b^2\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{9/2}}{9\,d^6}+\frac{20\,b^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{11/2}}{11\,d^6}+\frac{10\,b\,{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{7/2}}{7\,d^6}","Not used",1,"(2*b^5*(c + d*x)^(15/2))/(15*d^6) - ((10*b^5*c - 10*a*b^4*d)*(c + d*x)^(13/2))/(13*d^6) + (2*(a*d - b*c)^5*(c + d*x)^(5/2))/(5*d^6) + (20*b^2*(a*d - b*c)^3*(c + d*x)^(9/2))/(9*d^6) + (20*b^3*(a*d - b*c)^2*(c + d*x)^(11/2))/(11*d^6) + (10*b*(a*d - b*c)^4*(c + d*x)^(7/2))/(7*d^6)","B"
1388,1,112,129,0.242273,"\text{Not used}","int((a + b*x)^4*(c + d*x)^(3/2),x)","\frac{2\,b^4\,{\left(c+d\,x\right)}^{13/2}}{13\,d^5}-\frac{\left(8\,b^4\,c-8\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^{11/2}}{11\,d^5}+\frac{2\,{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{5/2}}{5\,d^5}+\frac{4\,b^2\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{9/2}}{3\,d^5}+\frac{8\,b\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{7/2}}{7\,d^5}","Not used",1,"(2*b^4*(c + d*x)^(13/2))/(13*d^5) - ((8*b^4*c - 8*a*b^3*d)*(c + d*x)^(11/2))/(11*d^5) + (2*(a*d - b*c)^4*(c + d*x)^(5/2))/(5*d^5) + (4*b^2*(a*d - b*c)^2*(c + d*x)^(9/2))/(3*d^5) + (8*b*(a*d - b*c)^3*(c + d*x)^(7/2))/(7*d^5)","B"
1389,1,87,100,0.248783,"\text{Not used}","int((a + b*x)^3*(c + d*x)^(3/2),x)","\frac{2\,b^3\,{\left(c+d\,x\right)}^{11/2}}{11\,d^4}-\frac{\left(6\,b^3\,c-6\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^{9/2}}{9\,d^4}+\frac{2\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{5/2}}{5\,d^4}+\frac{6\,b\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{7/2}}{7\,d^4}","Not used",1,"(2*b^3*(c + d*x)^(11/2))/(11*d^4) - ((6*b^3*c - 6*a*b^2*d)*(c + d*x)^(9/2))/(9*d^4) + (2*(a*d - b*c)^3*(c + d*x)^(5/2))/(5*d^4) + (6*b*(a*d - b*c)^2*(c + d*x)^(7/2))/(7*d^4)","B"
1390,1,68,71,0.059083,"\text{Not used}","int((a + b*x)^2*(c + d*x)^(3/2),x)","\frac{2\,{\left(c+d\,x\right)}^{5/2}\,\left(35\,b^2\,{\left(c+d\,x\right)}^2+63\,a^2\,d^2+63\,b^2\,c^2-90\,b^2\,c\,\left(c+d\,x\right)+90\,a\,b\,d\,\left(c+d\,x\right)-126\,a\,b\,c\,d\right)}{315\,d^3}","Not used",1,"(2*(c + d*x)^(5/2)*(35*b^2*(c + d*x)^2 + 63*a^2*d^2 + 63*b^2*c^2 - 90*b^2*c*(c + d*x) + 90*a*b*d*(c + d*x) - 126*a*b*c*d))/(315*d^3)","B"
1391,1,29,42,0.214996,"\text{Not used}","int((a + b*x)*(c + d*x)^(3/2),x)","\frac{2\,{\left(c+d\,x\right)}^{5/2}\,\left(7\,a\,d-7\,b\,c+5\,b\,\left(c+d\,x\right)\right)}{35\,d^2}","Not used",1,"(2*(c + d*x)^(5/2)*(7*a*d - 7*b*c + 5*b*(c + d*x)))/(35*d^2)","B"
1392,1,12,16,0.016926,"\text{Not used}","int((c + d*x)^(3/2),x)","\frac{2\,{\left(c+d\,x\right)}^{5/2}}{5\,d}","Not used",1,"(2*(c + d*x)^(5/2))/(5*d)","B"
1393,1,93,86,0.074768,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x),x)","\frac{2\,{\left(c+d\,x\right)}^{3/2}}{3\,b}-\frac{2\,\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}{b^2}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,{\left(a\,d-b\,c\right)}^{3/2}\,\sqrt{c+d\,x}}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}\right)\,{\left(a\,d-b\,c\right)}^{3/2}}{b^{5/2}}","Not used",1,"(2*(c + d*x)^(3/2))/(3*b) - (2*(a*d - b*c)*(c + d*x)^(1/2))/b^2 + (2*atan((b^(1/2)*(a*d - b*c)^(3/2)*(c + d*x)^(1/2))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))*(a*d - b*c)^(3/2))/b^(5/2)","B"
1394,1,109,85,0.105004,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^2,x)","\frac{\left(a\,d^2-b\,c\,d\right)\,\sqrt{c+d\,x}}{b^3\,\left(c+d\,x\right)-b^3\,c+a\,b^2\,d}+\frac{2\,d\,\sqrt{c+d\,x}}{b^2}-\frac{3\,d\,\mathrm{atan}\left(\frac{\sqrt{b}\,d\,\sqrt{a\,d-b\,c}\,\sqrt{c+d\,x}}{a\,d^2-b\,c\,d}\right)\,\sqrt{a\,d-b\,c}}{b^{5/2}}","Not used",1,"((a*d^2 - b*c*d)*(c + d*x)^(1/2))/(b^3*(c + d*x) - b^3*c + a*b^2*d) + (2*d*(c + d*x)^(1/2))/b^2 - (3*d*atan((b^(1/2)*d*(a*d - b*c)^(1/2)*(c + d*x)^(1/2))/(a*d^2 - b*c*d))*(a*d - b*c)^(1/2))/b^(5/2)","B"
1395,1,135,100,0.284370,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^3,x)","\frac{3\,d^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{4\,b^{5/2}\,\sqrt{a\,d-b\,c}}-\frac{\frac{5\,d^2\,{\left(c+d\,x\right)}^{3/2}}{4\,b}+\frac{3\,d^2\,\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}{4\,b^2}}{b^2\,{\left(c+d\,x\right)}^2-\left(2\,b^2\,c-2\,a\,b\,d\right)\,\left(c+d\,x\right)+a^2\,d^2+b^2\,c^2-2\,a\,b\,c\,d}","Not used",1,"(3*d^2*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(4*b^(5/2)*(a*d - b*c)^(1/2)) - ((5*d^2*(c + d*x)^(3/2))/(4*b) + (3*d^2*(a*d - b*c)*(c + d*x)^(1/2))/(4*b^2))/(b^2*(c + d*x)^2 - (2*b^2*c - 2*a*b*d)*(c + d*x) + a^2*d^2 + b^2*c^2 - 2*a*b*c*d)","B"
1396,1,209,136,0.338303,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^4,x)","\frac{d^3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{8\,b^{5/2}\,{\left(a\,d-b\,c\right)}^{3/2}}-\frac{\frac{d^3\,{\left(c+d\,x\right)}^{3/2}}{3\,b}-\frac{d^3\,{\left(c+d\,x\right)}^{5/2}}{8\,\left(a\,d-b\,c\right)}+\frac{d^3\,\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}{8\,b^2}}{\left(c+d\,x\right)\,\left(3\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+3\,b^3\,c^2\right)+b^3\,{\left(c+d\,x\right)}^3-\left(3\,b^3\,c-3\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^2+a^3\,d^3-b^3\,c^3+3\,a\,b^2\,c^2\,d-3\,a^2\,b\,c\,d^2}","Not used",1,"(d^3*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(8*b^(5/2)*(a*d - b*c)^(3/2)) - ((d^3*(c + d*x)^(3/2))/(3*b) - (d^3*(c + d*x)^(5/2))/(8*(a*d - b*c)) + (d^3*(a*d - b*c)*(c + d*x)^(1/2))/(8*b^2))/((c + d*x)*(3*b^3*c^2 + 3*a^2*b*d^2 - 6*a*b^2*c*d) + b^3*(c + d*x)^3 - (3*b^3*c - 3*a*b^2*d)*(c + d*x)^2 + a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)","B"
1397,1,296,172,0.370682,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^5,x)","\frac{3\,d^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{64\,b^{5/2}\,{\left(a\,d-b\,c\right)}^{5/2}}-\frac{\frac{11\,d^4\,{\left(c+d\,x\right)}^{3/2}}{64\,b}-\frac{11\,d^4\,{\left(c+d\,x\right)}^{5/2}}{64\,\left(a\,d-b\,c\right)}+\frac{3\,d^4\,\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}{64\,b^2}-\frac{3\,b\,d^4\,{\left(c+d\,x\right)}^{7/2}}{64\,{\left(a\,d-b\,c\right)}^2}}{b^4\,{\left(c+d\,x\right)}^4-\left(4\,b^4\,c-4\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^3-\left(c+d\,x\right)\,\left(-4\,a^3\,b\,d^3+12\,a^2\,b^2\,c\,d^2-12\,a\,b^3\,c^2\,d+4\,b^4\,c^3\right)+a^4\,d^4+b^4\,c^4+{\left(c+d\,x\right)}^2\,\left(6\,a^2\,b^2\,d^2-12\,a\,b^3\,c\,d+6\,b^4\,c^2\right)+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d-4\,a^3\,b\,c\,d^3}","Not used",1,"(3*d^4*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(64*b^(5/2)*(a*d - b*c)^(5/2)) - ((11*d^4*(c + d*x)^(3/2))/(64*b) - (11*d^4*(c + d*x)^(5/2))/(64*(a*d - b*c)) + (3*d^4*(a*d - b*c)*(c + d*x)^(1/2))/(64*b^2) - (3*b*d^4*(c + d*x)^(7/2))/(64*(a*d - b*c)^2))/(b^4*(c + d*x)^4 - (4*b^4*c - 4*a*b^3*d)*(c + d*x)^3 - (c + d*x)*(4*b^4*c^3 - 4*a^3*b*d^3 + 12*a^2*b^2*c*d^2 - 12*a*b^3*c^2*d) + a^4*d^4 + b^4*c^4 + (c + d*x)^2*(6*b^4*c^2 + 6*a^2*b^2*d^2 - 12*a*b^3*c*d) + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)","B"
1398,1,398,208,0.472710,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^6,x)","\frac{\frac{d^5\,{\left(c+d\,x\right)}^{5/2}}{5\,\left(a\,d-b\,c\right)}-\frac{7\,d^5\,{\left(c+d\,x\right)}^{3/2}}{64\,b}+\frac{3\,b^2\,d^5\,{\left(c+d\,x\right)}^{9/2}}{128\,{\left(a\,d-b\,c\right)}^3}-\frac{3\,d^5\,\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}{128\,b^2}+\frac{7\,b\,d^5\,{\left(c+d\,x\right)}^{7/2}}{64\,{\left(a\,d-b\,c\right)}^2}}{b^5\,{\left(c+d\,x\right)}^5-{\left(c+d\,x\right)}^2\,\left(-10\,a^3\,b^2\,d^3+30\,a^2\,b^3\,c\,d^2-30\,a\,b^4\,c^2\,d+10\,b^5\,c^3\right)-\left(5\,b^5\,c-5\,a\,b^4\,d\right)\,{\left(c+d\,x\right)}^4+a^5\,d^5-b^5\,c^5+{\left(c+d\,x\right)}^3\,\left(10\,a^2\,b^3\,d^2-20\,a\,b^4\,c\,d+10\,b^5\,c^2\right)+\left(c+d\,x\right)\,\left(5\,a^4\,b\,d^4-20\,a^3\,b^2\,c\,d^3+30\,a^2\,b^3\,c^2\,d^2-20\,a\,b^4\,c^3\,d+5\,b^5\,c^4\right)-10\,a^2\,b^3\,c^3\,d^2+10\,a^3\,b^2\,c^2\,d^3+5\,a\,b^4\,c^4\,d-5\,a^4\,b\,c\,d^4}+\frac{3\,d^5\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{128\,b^{5/2}\,{\left(a\,d-b\,c\right)}^{7/2}}","Not used",1,"((d^5*(c + d*x)^(5/2))/(5*(a*d - b*c)) - (7*d^5*(c + d*x)^(3/2))/(64*b) + (3*b^2*d^5*(c + d*x)^(9/2))/(128*(a*d - b*c)^3) - (3*d^5*(a*d - b*c)*(c + d*x)^(1/2))/(128*b^2) + (7*b*d^5*(c + d*x)^(7/2))/(64*(a*d - b*c)^2))/(b^5*(c + d*x)^5 - (c + d*x)^2*(10*b^5*c^3 - 10*a^3*b^2*d^3 + 30*a^2*b^3*c*d^2 - 30*a*b^4*c^2*d) - (5*b^5*c - 5*a*b^4*d)*(c + d*x)^4 + a^5*d^5 - b^5*c^5 + (c + d*x)^3*(10*b^5*c^2 + 10*a^2*b^3*d^2 - 20*a*b^4*c*d) + (c + d*x)*(5*b^5*c^4 + 5*a^4*b*d^4 - 20*a^3*b^2*c*d^3 + 30*a^2*b^3*c^2*d^2 - 20*a*b^4*c^3*d) - 10*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 5*a*b^4*c^4*d - 5*a^4*b*c*d^4) + (3*d^5*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(128*b^(5/2)*(a*d - b*c)^(7/2))","B"
1399,1,137,158,0.267390,"\text{Not used}","int((a + b*x)^5*(c + d*x)^(5/2),x)","\frac{2\,b^5\,{\left(c+d\,x\right)}^{17/2}}{17\,d^6}-\frac{\left(10\,b^5\,c-10\,a\,b^4\,d\right)\,{\left(c+d\,x\right)}^{15/2}}{15\,d^6}+\frac{2\,{\left(a\,d-b\,c\right)}^5\,{\left(c+d\,x\right)}^{7/2}}{7\,d^6}+\frac{20\,b^2\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{11/2}}{11\,d^6}+\frac{20\,b^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{13/2}}{13\,d^6}+\frac{10\,b\,{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{9/2}}{9\,d^6}","Not used",1,"(2*b^5*(c + d*x)^(17/2))/(17*d^6) - ((10*b^5*c - 10*a*b^4*d)*(c + d*x)^(15/2))/(15*d^6) + (2*(a*d - b*c)^5*(c + d*x)^(7/2))/(7*d^6) + (20*b^2*(a*d - b*c)^3*(c + d*x)^(11/2))/(11*d^6) + (20*b^3*(a*d - b*c)^2*(c + d*x)^(13/2))/(13*d^6) + (10*b*(a*d - b*c)^4*(c + d*x)^(9/2))/(9*d^6)","B"
1400,1,112,129,0.233721,"\text{Not used}","int((a + b*x)^4*(c + d*x)^(5/2),x)","\frac{2\,b^4\,{\left(c+d\,x\right)}^{15/2}}{15\,d^5}-\frac{\left(8\,b^4\,c-8\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^{13/2}}{13\,d^5}+\frac{2\,{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{7/2}}{7\,d^5}+\frac{12\,b^2\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{11/2}}{11\,d^5}+\frac{8\,b\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{9/2}}{9\,d^5}","Not used",1,"(2*b^4*(c + d*x)^(15/2))/(15*d^5) - ((8*b^4*c - 8*a*b^3*d)*(c + d*x)^(13/2))/(13*d^5) + (2*(a*d - b*c)^4*(c + d*x)^(7/2))/(7*d^5) + (12*b^2*(a*d - b*c)^2*(c + d*x)^(11/2))/(11*d^5) + (8*b*(a*d - b*c)^3*(c + d*x)^(9/2))/(9*d^5)","B"
1401,1,87,100,0.075951,"\text{Not used}","int((a + b*x)^3*(c + d*x)^(5/2),x)","\frac{2\,b^3\,{\left(c+d\,x\right)}^{13/2}}{13\,d^4}-\frac{\left(6\,b^3\,c-6\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^{11/2}}{11\,d^4}+\frac{2\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{7/2}}{7\,d^4}+\frac{2\,b\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{9/2}}{3\,d^4}","Not used",1,"(2*b^3*(c + d*x)^(13/2))/(13*d^4) - ((6*b^3*c - 6*a*b^2*d)*(c + d*x)^(11/2))/(11*d^4) + (2*(a*d - b*c)^3*(c + d*x)^(7/2))/(7*d^4) + (2*b*(a*d - b*c)^2*(c + d*x)^(9/2))/(3*d^4)","B"
1402,1,68,71,0.067043,"\text{Not used}","int((a + b*x)^2*(c + d*x)^(5/2),x)","\frac{2\,{\left(c+d\,x\right)}^{7/2}\,\left(63\,b^2\,{\left(c+d\,x\right)}^2+99\,a^2\,d^2+99\,b^2\,c^2-154\,b^2\,c\,\left(c+d\,x\right)+154\,a\,b\,d\,\left(c+d\,x\right)-198\,a\,b\,c\,d\right)}{693\,d^3}","Not used",1,"(2*(c + d*x)^(7/2)*(63*b^2*(c + d*x)^2 + 99*a^2*d^2 + 99*b^2*c^2 - 154*b^2*c*(c + d*x) + 154*a*b*d*(c + d*x) - 198*a*b*c*d))/(693*d^3)","B"
1403,1,29,42,0.045044,"\text{Not used}","int((a + b*x)*(c + d*x)^(5/2),x)","\frac{2\,{\left(c+d\,x\right)}^{7/2}\,\left(9\,a\,d-9\,b\,c+7\,b\,\left(c+d\,x\right)\right)}{63\,d^2}","Not used",1,"(2*(c + d*x)^(7/2)*(9*a*d - 9*b*c + 7*b*(c + d*x)))/(63*d^2)","B"
1404,1,12,16,0.020678,"\text{Not used}","int((c + d*x)^(5/2),x)","\frac{2\,{\left(c+d\,x\right)}^{7/2}}{7\,d}","Not used",1,"(2*(c + d*x)^(7/2))/(7*d)","B"
1405,1,130,112,0.083475,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x),x)","\frac{2\,{\left(c+d\,x\right)}^{5/2}}{5\,b}-\frac{2\,\left(a\,d-b\,c\right)\,{\left(c+d\,x\right)}^{3/2}}{3\,b^2}+\frac{2\,{\left(a\,d-b\,c\right)}^2\,\sqrt{c+d\,x}}{b^3}-\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,{\left(a\,d-b\,c\right)}^{5/2}\,\sqrt{c+d\,x}}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}\right)\,{\left(a\,d-b\,c\right)}^{5/2}}{b^{7/2}}","Not used",1,"(2*(c + d*x)^(5/2))/(5*b) - (2*(a*d - b*c)*(c + d*x)^(3/2))/(3*b^2) + (2*(a*d - b*c)^2*(c + d*x)^(1/2))/b^3 - (2*atan((b^(1/2)*(a*d - b*c)^(5/2)*(c + d*x)^(1/2))/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))*(a*d - b*c)^(5/2))/b^(7/2)","B"
1406,1,161,110,0.123662,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^2,x)","\frac{2\,d\,{\left(c+d\,x\right)}^{3/2}}{3\,b^2}-\frac{\sqrt{c+d\,x}\,\left(a^2\,d^3-2\,a\,b\,c\,d^2+b^2\,c^2\,d\right)}{b^4\,\left(c+d\,x\right)-b^4\,c+a\,b^3\,d}+\frac{5\,d\,\mathrm{atan}\left(\frac{\sqrt{b}\,d\,{\left(a\,d-b\,c\right)}^{3/2}\,\sqrt{c+d\,x}}{a^2\,d^3-2\,a\,b\,c\,d^2+b^2\,c^2\,d}\right)\,{\left(a\,d-b\,c\right)}^{3/2}}{b^{7/2}}+\frac{2\,d\,\left(2\,b^2\,c-2\,a\,b\,d\right)\,\sqrt{c+d\,x}}{b^4}","Not used",1,"(2*d*(c + d*x)^(3/2))/(3*b^2) - ((c + d*x)^(1/2)*(a^2*d^3 + b^2*c^2*d - 2*a*b*c*d^2))/(b^4*(c + d*x) - b^4*c + a*b^3*d) + (5*d*atan((b^(1/2)*d*(a*d - b*c)^(3/2)*(c + d*x)^(1/2))/(a^2*d^3 + b^2*c^2*d - 2*a*b*c*d^2))*(a*d - b*c)^(3/2))/b^(7/2) + (2*d*(2*b^2*c - 2*a*b*d)*(c + d*x)^(1/2))/b^4","B"
1407,1,199,119,0.160211,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^3,x)","\frac{2\,d^2\,\sqrt{c+d\,x}}{b^3}-\frac{\left(\frac{9\,b^2\,c\,d^2}{4}-\frac{9\,a\,b\,d^3}{4}\right)\,{\left(c+d\,x\right)}^{3/2}-\sqrt{c+d\,x}\,\left(\frac{7\,a^2\,d^4}{4}-\frac{7\,a\,b\,c\,d^3}{2}+\frac{7\,b^2\,c^2\,d^2}{4}\right)}{b^5\,{\left(c+d\,x\right)}^2-\left(2\,b^5\,c-2\,a\,b^4\,d\right)\,\left(c+d\,x\right)+b^5\,c^2+a^2\,b^3\,d^2-2\,a\,b^4\,c\,d}-\frac{15\,d^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,d^2\,\sqrt{a\,d-b\,c}\,\sqrt{c+d\,x}}{a\,d^3-b\,c\,d^2}\right)\,\sqrt{a\,d-b\,c}}{4\,b^{7/2}}","Not used",1,"(2*d^2*(c + d*x)^(1/2))/b^3 - (((9*b^2*c*d^2)/4 - (9*a*b*d^3)/4)*(c + d*x)^(3/2) - (c + d*x)^(1/2)*((7*a^2*d^4)/4 + (7*b^2*c^2*d^2)/4 - (7*a*b*c*d^3)/2))/(b^5*(c + d*x)^2 - (2*b^5*c - 2*a*b^4*d)*(c + d*x) + b^5*c^2 + a^2*b^3*d^2 - 2*a*b^4*c*d) - (15*d^2*atan((b^(1/2)*d^2*(a*d - b*c)^(1/2)*(c + d*x)^(1/2))/(a*d^3 - b*c*d^2))*(a*d - b*c)^(1/2))/(4*b^(7/2))","B"
1408,1,222,126,0.364895,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^4,x)","\frac{5\,d^3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{8\,b^{7/2}\,\sqrt{a\,d-b\,c}}-\frac{\frac{11\,d^3\,{\left(c+d\,x\right)}^{5/2}}{8\,b}+\frac{5\,d^3\,\sqrt{c+d\,x}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{8\,b^3}+\frac{5\,d^3\,\left(a\,d-b\,c\right)\,{\left(c+d\,x\right)}^{3/2}}{3\,b^2}}{\left(c+d\,x\right)\,\left(3\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+3\,b^3\,c^2\right)+b^3\,{\left(c+d\,x\right)}^3-\left(3\,b^3\,c-3\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^2+a^3\,d^3-b^3\,c^3+3\,a\,b^2\,c^2\,d-3\,a^2\,b\,c\,d^2}","Not used",1,"(5*d^3*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(8*b^(7/2)*(a*d - b*c)^(1/2)) - ((11*d^3*(c + d*x)^(5/2))/(8*b) + (5*d^3*(c + d*x)^(1/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(8*b^3) + (5*d^3*(a*d - b*c)*(c + d*x)^(3/2))/(3*b^2))/((c + d*x)*(3*b^3*c^2 + 3*a^2*b*d^2 - 6*a*b^2*c*d) + b^3*(c + d*x)^3 - (3*b^3*c - 3*a*b^2*d)*(c + d*x)^2 + a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)","B"
1409,1,309,162,0.411799,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^5,x)","\frac{5\,d^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{64\,b^{7/2}\,{\left(a\,d-b\,c\right)}^{3/2}}-\frac{\frac{73\,d^4\,{\left(c+d\,x\right)}^{5/2}}{192\,b}-\frac{5\,d^4\,{\left(c+d\,x\right)}^{7/2}}{64\,\left(a\,d-b\,c\right)}+\frac{5\,d^4\,\sqrt{c+d\,x}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{64\,b^3}+\frac{55\,d^4\,\left(a\,d-b\,c\right)\,{\left(c+d\,x\right)}^{3/2}}{192\,b^2}}{b^4\,{\left(c+d\,x\right)}^4-\left(4\,b^4\,c-4\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^3-\left(c+d\,x\right)\,\left(-4\,a^3\,b\,d^3+12\,a^2\,b^2\,c\,d^2-12\,a\,b^3\,c^2\,d+4\,b^4\,c^3\right)+a^4\,d^4+b^4\,c^4+{\left(c+d\,x\right)}^2\,\left(6\,a^2\,b^2\,d^2-12\,a\,b^3\,c\,d+6\,b^4\,c^2\right)+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d-4\,a^3\,b\,c\,d^3}","Not used",1,"(5*d^4*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(64*b^(7/2)*(a*d - b*c)^(3/2)) - ((73*d^4*(c + d*x)^(5/2))/(192*b) - (5*d^4*(c + d*x)^(7/2))/(64*(a*d - b*c)) + (5*d^4*(c + d*x)^(1/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(64*b^3) + (55*d^4*(a*d - b*c)*(c + d*x)^(3/2))/(192*b^2))/(b^4*(c + d*x)^4 - (4*b^4*c - 4*a*b^3*d)*(c + d*x)^3 - (c + d*x)*(4*b^4*c^3 - 4*a^3*b*d^3 + 12*a^2*b^2*c*d^2 - 12*a*b^3*c^2*d) + a^4*d^4 + b^4*c^4 + (c + d*x)^2*(6*b^4*c^2 + 6*a^2*b^2*d^2 - 12*a*b^3*c*d) + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)","B"
1410,1,411,198,0.502548,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^6,x)","\frac{3\,d^5\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{128\,b^{7/2}\,{\left(a\,d-b\,c\right)}^{5/2}}-\frac{\frac{d^5\,{\left(c+d\,x\right)}^{5/2}}{5\,b}-\frac{7\,d^5\,{\left(c+d\,x\right)}^{7/2}}{64\,\left(a\,d-b\,c\right)}+\frac{3\,d^5\,\sqrt{c+d\,x}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{128\,b^3}+\frac{7\,d^5\,\left(a\,d-b\,c\right)\,{\left(c+d\,x\right)}^{3/2}}{64\,b^2}-\frac{3\,b\,d^5\,{\left(c+d\,x\right)}^{9/2}}{128\,{\left(a\,d-b\,c\right)}^2}}{b^5\,{\left(c+d\,x\right)}^5-{\left(c+d\,x\right)}^2\,\left(-10\,a^3\,b^2\,d^3+30\,a^2\,b^3\,c\,d^2-30\,a\,b^4\,c^2\,d+10\,b^5\,c^3\right)-\left(5\,b^5\,c-5\,a\,b^4\,d\right)\,{\left(c+d\,x\right)}^4+a^5\,d^5-b^5\,c^5+{\left(c+d\,x\right)}^3\,\left(10\,a^2\,b^3\,d^2-20\,a\,b^4\,c\,d+10\,b^5\,c^2\right)+\left(c+d\,x\right)\,\left(5\,a^4\,b\,d^4-20\,a^3\,b^2\,c\,d^3+30\,a^2\,b^3\,c^2\,d^2-20\,a\,b^4\,c^3\,d+5\,b^5\,c^4\right)-10\,a^2\,b^3\,c^3\,d^2+10\,a^3\,b^2\,c^2\,d^3+5\,a\,b^4\,c^4\,d-5\,a^4\,b\,c\,d^4}","Not used",1,"(3*d^5*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(128*b^(7/2)*(a*d - b*c)^(5/2)) - ((d^5*(c + d*x)^(5/2))/(5*b) - (7*d^5*(c + d*x)^(7/2))/(64*(a*d - b*c)) + (3*d^5*(c + d*x)^(1/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(128*b^3) + (7*d^5*(a*d - b*c)*(c + d*x)^(3/2))/(64*b^2) - (3*b*d^5*(c + d*x)^(9/2))/(128*(a*d - b*c)^2))/(b^5*(c + d*x)^5 - (c + d*x)^2*(10*b^5*c^3 - 10*a^3*b^2*d^3 + 30*a^2*b^3*c*d^2 - 30*a*b^4*c^2*d) - (5*b^5*c - 5*a*b^4*d)*(c + d*x)^4 + a^5*d^5 - b^5*c^5 + (c + d*x)^3*(10*b^5*c^2 + 10*a^2*b^3*d^2 - 20*a*b^4*c*d) + (c + d*x)*(5*b^5*c^4 + 5*a^4*b*d^4 - 20*a^3*b^2*c*d^3 + 30*a^2*b^3*c^2*d^2 - 20*a*b^4*c^3*d) - 10*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 5*a*b^4*c^4*d - 5*a^4*b*c*d^4)","B"
1411,1,29,35,0.061578,"\text{Not used}","int((x - 1)^(1/2)/(x + 1)^2,x)","\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{x-1}}{2}\right)}{2}-\frac{\sqrt{x-1}}{x+1}","Not used",1,"(2^(1/2)*atan((2^(1/2)*(x - 1)^(1/2))/2))/2 - (x - 1)^(1/2)/(x + 1)","B"
1412,1,45,56,0.040701,"\text{Not used}","int((x - 1)^(1/2)/(x + 1)^3,x)","\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{x-1}}{2}\right)}{16}-\frac{\frac{\sqrt{x-1}}{4}-\frac{{\left(x-1\right)}^{3/2}}{8}}{4\,x+{\left(x-1\right)}^2}","Not used",1,"(2^(1/2)*atan((2^(1/2)*(x - 1)^(1/2))/2))/16 - ((x - 1)^(1/2)/4 - (x - 1)^(3/2)/8)/(4*x + (x - 1)^2)","B"
1413,1,137,154,0.069273,"\text{Not used}","int((a + b*x)^5/(c + d*x)^(1/2),x)","\frac{2\,b^5\,{\left(c+d\,x\right)}^{11/2}}{11\,d^6}-\frac{\left(10\,b^5\,c-10\,a\,b^4\,d\right)\,{\left(c+d\,x\right)}^{9/2}}{9\,d^6}+\frac{2\,{\left(a\,d-b\,c\right)}^5\,\sqrt{c+d\,x}}{d^6}+\frac{4\,b^2\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{5/2}}{d^6}+\frac{20\,b^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{7/2}}{7\,d^6}+\frac{10\,b\,{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{3/2}}{3\,d^6}","Not used",1,"(2*b^5*(c + d*x)^(11/2))/(11*d^6) - ((10*b^5*c - 10*a*b^4*d)*(c + d*x)^(9/2))/(9*d^6) + (2*(a*d - b*c)^5*(c + d*x)^(1/2))/d^6 + (4*b^2*(a*d - b*c)^3*(c + d*x)^(5/2))/d^6 + (20*b^3*(a*d - b*c)^2*(c + d*x)^(7/2))/(7*d^6) + (10*b*(a*d - b*c)^4*(c + d*x)^(3/2))/(3*d^6)","B"
1414,1,112,127,0.240934,"\text{Not used}","int((a + b*x)^4/(c + d*x)^(1/2),x)","\frac{2\,b^4\,{\left(c+d\,x\right)}^{9/2}}{9\,d^5}-\frac{\left(8\,b^4\,c-8\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^{7/2}}{7\,d^5}+\frac{2\,{\left(a\,d-b\,c\right)}^4\,\sqrt{c+d\,x}}{d^5}+\frac{12\,b^2\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{5/2}}{5\,d^5}+\frac{8\,b\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{3/2}}{3\,d^5}","Not used",1,"(2*b^4*(c + d*x)^(9/2))/(9*d^5) - ((8*b^4*c - 8*a*b^3*d)*(c + d*x)^(7/2))/(7*d^5) + (2*(a*d - b*c)^4*(c + d*x)^(1/2))/d^5 + (12*b^2*(a*d - b*c)^2*(c + d*x)^(5/2))/(5*d^5) + (8*b*(a*d - b*c)^3*(c + d*x)^(3/2))/(3*d^5)","B"
1415,1,87,96,0.263528,"\text{Not used}","int((a + b*x)^3/(c + d*x)^(1/2),x)","\frac{2\,b^3\,{\left(c+d\,x\right)}^{7/2}}{7\,d^4}-\frac{\left(6\,b^3\,c-6\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^{5/2}}{5\,d^4}+\frac{2\,{\left(a\,d-b\,c\right)}^3\,\sqrt{c+d\,x}}{d^4}+\frac{2\,b\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{3/2}}{d^4}","Not used",1,"(2*b^3*(c + d*x)^(7/2))/(7*d^4) - ((6*b^3*c - 6*a*b^2*d)*(c + d*x)^(5/2))/(5*d^4) + (2*(a*d - b*c)^3*(c + d*x)^(1/2))/d^4 + (2*b*(a*d - b*c)^2*(c + d*x)^(3/2))/d^4","B"
1416,1,68,69,0.066826,"\text{Not used}","int((a + b*x)^2/(c + d*x)^(1/2),x)","\frac{2\,\sqrt{c+d\,x}\,\left(3\,b^2\,{\left(c+d\,x\right)}^2+15\,a^2\,d^2+15\,b^2\,c^2-10\,b^2\,c\,\left(c+d\,x\right)+10\,a\,b\,d\,\left(c+d\,x\right)-30\,a\,b\,c\,d\right)}{15\,d^3}","Not used",1,"(2*(c + d*x)^(1/2)*(3*b^2*(c + d*x)^2 + 15*a^2*d^2 + 15*b^2*c^2 - 10*b^2*c*(c + d*x) + 10*a*b*d*(c + d*x) - 30*a*b*c*d))/(15*d^3)","B"
1417,1,28,40,0.047566,"\text{Not used}","int((a + b*x)/(c + d*x)^(1/2),x)","\frac{2\,\sqrt{c+d\,x}\,\left(3\,a\,d-3\,b\,c+b\,\left(c+d\,x\right)\right)}{3\,d^2}","Not used",1,"(2*(c + d*x)^(1/2)*(3*a*d - 3*b*c + b*(c + d*x)))/(3*d^2)","B"
1418,1,12,14,0.020732,"\text{Not used}","int(1/(c + d*x)^(1/2),x)","\frac{2\,\sqrt{c+d\,x}}{d}","Not used",1,"(2*(c + d*x)^(1/2))/d","B"
1419,1,38,47,0.272732,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^(1/2)),x)","\frac{2\,\mathrm{atan}\left(\frac{b\,\sqrt{c+d\,x}}{\sqrt{a\,b\,d-b^2\,c}}\right)}{\sqrt{a\,b\,d-b^2\,c}}","Not used",1,"(2*atan((b*(c + d*x)^(1/2))/(a*b*d - b^2*c)^(1/2)))/(a*b*d - b^2*c)^(1/2)","B"
1420,1,74,76,0.094093,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)^(1/2)),x)","\frac{d\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{\sqrt{b}\,{\left(a\,d-b\,c\right)}^{3/2}}+\frac{d\,\sqrt{c+d\,x}}{\left(a\,d-b\,c\right)\,\left(a\,d-b\,c+b\,\left(c+d\,x\right)\right)}","Not used",1,"(d*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(b^(1/2)*(a*d - b*c)^(3/2)) + (d*(c + d*x)^(1/2))/((a*d - b*c)*(a*d - b*c + b*(c + d*x)))","B"
1421,1,142,114,0.332403,"\text{Not used}","int(1/((a + b*x)^3*(c + d*x)^(1/2)),x)","\frac{\frac{5\,d^2\,\sqrt{c+d\,x}}{4\,\left(a\,d-b\,c\right)}+\frac{3\,b\,d^2\,{\left(c+d\,x\right)}^{3/2}}{4\,{\left(a\,d-b\,c\right)}^2}}{b^2\,{\left(c+d\,x\right)}^2-\left(2\,b^2\,c-2\,a\,b\,d\right)\,\left(c+d\,x\right)+a^2\,d^2+b^2\,c^2-2\,a\,b\,c\,d}+\frac{3\,d^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{4\,\sqrt{b}\,{\left(a\,d-b\,c\right)}^{5/2}}","Not used",1,"((5*d^2*(c + d*x)^(1/2))/(4*(a*d - b*c)) + (3*b*d^2*(c + d*x)^(3/2))/(4*(a*d - b*c)^2))/(b^2*(c + d*x)^2 - (2*b^2*c - 2*a*b*d)*(c + d*x) + a^2*d^2 + b^2*c^2 - 2*a*b*c*d) + (3*d^2*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(4*b^(1/2)*(a*d - b*c)^(5/2))","B"
1422,1,218,147,0.394956,"\text{Not used}","int(1/((a + b*x)^4*(c + d*x)^(1/2)),x)","\frac{\frac{11\,d^3\,\sqrt{c+d\,x}}{8\,\left(a\,d-b\,c\right)}+\frac{5\,b^2\,d^3\,{\left(c+d\,x\right)}^{5/2}}{8\,{\left(a\,d-b\,c\right)}^3}+\frac{5\,b\,d^3\,{\left(c+d\,x\right)}^{3/2}}{3\,{\left(a\,d-b\,c\right)}^2}}{\left(c+d\,x\right)\,\left(3\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+3\,b^3\,c^2\right)+b^3\,{\left(c+d\,x\right)}^3-\left(3\,b^3\,c-3\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^2+a^3\,d^3-b^3\,c^3+3\,a\,b^2\,c^2\,d-3\,a^2\,b\,c\,d^2}+\frac{5\,d^3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{8\,\sqrt{b}\,{\left(a\,d-b\,c\right)}^{7/2}}","Not used",1,"((11*d^3*(c + d*x)^(1/2))/(8*(a*d - b*c)) + (5*b^2*d^3*(c + d*x)^(5/2))/(8*(a*d - b*c)^3) + (5*b*d^3*(c + d*x)^(3/2))/(3*(a*d - b*c)^2))/((c + d*x)*(3*b^3*c^2 + 3*a^2*b*d^2 - 6*a*b^2*c*d) + b^3*(c + d*x)^3 - (3*b^3*c - 3*a*b^2*d)*(c + d*x)^2 + a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2) + (5*d^3*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(8*b^(1/2)*(a*d - b*c)^(7/2))","B"
1423,1,307,180,0.455282,"\text{Not used}","int(1/((a + b*x)^5*(c + d*x)^(1/2)),x)","\frac{\frac{93\,d^4\,\sqrt{c+d\,x}}{64\,\left(a\,d-b\,c\right)}+\frac{385\,b^2\,d^4\,{\left(c+d\,x\right)}^{5/2}}{192\,{\left(a\,d-b\,c\right)}^3}+\frac{35\,b^3\,d^4\,{\left(c+d\,x\right)}^{7/2}}{64\,{\left(a\,d-b\,c\right)}^4}+\frac{511\,b\,d^4\,{\left(c+d\,x\right)}^{3/2}}{192\,{\left(a\,d-b\,c\right)}^2}}{b^4\,{\left(c+d\,x\right)}^4-\left(4\,b^4\,c-4\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^3-\left(c+d\,x\right)\,\left(-4\,a^3\,b\,d^3+12\,a^2\,b^2\,c\,d^2-12\,a\,b^3\,c^2\,d+4\,b^4\,c^3\right)+a^4\,d^4+b^4\,c^4+{\left(c+d\,x\right)}^2\,\left(6\,a^2\,b^2\,d^2-12\,a\,b^3\,c\,d+6\,b^4\,c^2\right)+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d-4\,a^3\,b\,c\,d^3}+\frac{35\,d^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{64\,\sqrt{b}\,{\left(a\,d-b\,c\right)}^{9/2}}","Not used",1,"((93*d^4*(c + d*x)^(1/2))/(64*(a*d - b*c)) + (385*b^2*d^4*(c + d*x)^(5/2))/(192*(a*d - b*c)^3) + (35*b^3*d^4*(c + d*x)^(7/2))/(64*(a*d - b*c)^4) + (511*b*d^4*(c + d*x)^(3/2))/(192*(a*d - b*c)^2))/(b^4*(c + d*x)^4 - (4*b^4*c - 4*a*b^3*d)*(c + d*x)^3 - (c + d*x)*(4*b^4*c^3 - 4*a^3*b*d^3 + 12*a^2*b^2*c*d^2 - 12*a*b^3*c^2*d) + a^4*d^4 + b^4*c^4 + (c + d*x)^2*(6*b^4*c^2 + 6*a^2*b^2*d^2 - 12*a*b^3*c*d) + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3) + (35*d^4*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(64*b^(1/2)*(a*d - b*c)^(9/2))","B"
1424,1,192,152,0.077115,"\text{Not used}","int((a + b*x)^5/(c + d*x)^(3/2),x)","\frac{2\,b^5\,{\left(c+d\,x\right)}^{9/2}}{9\,d^6}-\frac{\left(10\,b^5\,c-10\,a\,b^4\,d\right)\,{\left(c+d\,x\right)}^{7/2}}{7\,d^6}-\frac{2\,a^5\,d^5-10\,a^4\,b\,c\,d^4+20\,a^3\,b^2\,c^2\,d^3-20\,a^2\,b^3\,c^3\,d^2+10\,a\,b^4\,c^4\,d-2\,b^5\,c^5}{d^6\,\sqrt{c+d\,x}}+\frac{20\,b^2\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{3/2}}{3\,d^6}+\frac{4\,b^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{5/2}}{d^6}+\frac{10\,b\,{\left(a\,d-b\,c\right)}^4\,\sqrt{c+d\,x}}{d^6}","Not used",1,"(2*b^5*(c + d*x)^(9/2))/(9*d^6) - ((10*b^5*c - 10*a*b^4*d)*(c + d*x)^(7/2))/(7*d^6) - (2*a^5*d^5 - 2*b^5*c^5 - 20*a^2*b^3*c^3*d^2 + 20*a^3*b^2*c^2*d^3 + 10*a*b^4*c^4*d - 10*a^4*b*c*d^4)/(d^6*(c + d*x)^(1/2)) + (20*b^2*(a*d - b*c)^3*(c + d*x)^(3/2))/(3*d^6) + (4*b^3*(a*d - b*c)^2*(c + d*x)^(5/2))/d^6 + (10*b*(a*d - b*c)^4*(c + d*x)^(1/2))/d^6","B"
1425,1,153,123,0.055644,"\text{Not used}","int((a + b*x)^4/(c + d*x)^(3/2),x)","\frac{2\,b^4\,{\left(c+d\,x\right)}^{7/2}}{7\,d^5}-\frac{\left(8\,b^4\,c-8\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^{5/2}}{5\,d^5}-\frac{2\,a^4\,d^4-8\,a^3\,b\,c\,d^3+12\,a^2\,b^2\,c^2\,d^2-8\,a\,b^3\,c^3\,d+2\,b^4\,c^4}{d^5\,\sqrt{c+d\,x}}+\frac{4\,b^2\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{3/2}}{d^5}+\frac{8\,b\,{\left(a\,d-b\,c\right)}^3\,\sqrt{c+d\,x}}{d^5}","Not used",1,"(2*b^4*(c + d*x)^(7/2))/(7*d^5) - ((8*b^4*c - 8*a*b^3*d)*(c + d*x)^(5/2))/(5*d^5) - (2*a^4*d^4 + 2*b^4*c^4 + 12*a^2*b^2*c^2*d^2 - 8*a*b^3*c^3*d - 8*a^3*b*c*d^3)/(d^5*(c + d*x)^(1/2)) + (4*b^2*(a*d - b*c)^2*(c + d*x)^(3/2))/d^5 + (8*b*(a*d - b*c)^3*(c + d*x)^(1/2))/d^5","B"
1426,1,114,94,0.082032,"\text{Not used}","int((a + b*x)^3/(c + d*x)^(3/2),x)","\frac{2\,b^3\,{\left(c+d\,x\right)}^{5/2}}{5\,d^4}-\frac{\left(6\,b^3\,c-6\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^{3/2}}{3\,d^4}-\frac{2\,a^3\,d^3-6\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-2\,b^3\,c^3}{d^4\,\sqrt{c+d\,x}}+\frac{6\,b\,{\left(a\,d-b\,c\right)}^2\,\sqrt{c+d\,x}}{d^4}","Not used",1,"(2*b^3*(c + d*x)^(5/2))/(5*d^4) - ((6*b^3*c - 6*a*b^2*d)*(c + d*x)^(3/2))/(3*d^4) - (2*a^3*d^3 - 2*b^3*c^3 + 6*a*b^2*c^2*d - 6*a^2*b*c*d^2)/(d^4*(c + d*x)^(1/2)) + (6*b*(a*d - b*c)^2*(c + d*x)^(1/2))/d^4","B"
1427,1,67,67,0.264292,"\text{Not used}","int((a + b*x)^2/(c + d*x)^(3/2),x)","\frac{\frac{2\,b^2\,{\left(c+d\,x\right)}^2}{3}-2\,a^2\,d^2-2\,b^2\,c^2-4\,b^2\,c\,\left(c+d\,x\right)+4\,a\,b\,d\,\left(c+d\,x\right)+4\,a\,b\,c\,d}{d^3\,\sqrt{c+d\,x}}","Not used",1,"((2*b^2*(c + d*x)^2)/3 - 2*a^2*d^2 - 2*b^2*c^2 - 4*b^2*c*(c + d*x) + 4*a*b*d*(c + d*x) + 4*a*b*c*d)/(d^3*(c + d*x)^(1/2))","B"
1428,1,25,38,0.053511,"\text{Not used}","int((a + b*x)/(c + d*x)^(3/2),x)","\frac{4\,b\,c-2\,a\,d+2\,b\,d\,x}{d^2\,\sqrt{c+d\,x}}","Not used",1,"(4*b*c - 2*a*d + 2*b*d*x)/(d^2*(c + d*x)^(1/2))","B"
1429,1,12,14,0.023989,"\text{Not used}","int(1/(c + d*x)^(3/2),x)","-\frac{2}{d\,\sqrt{c+d\,x}}","Not used",1,"-2/(d*(c + d*x)^(1/2))","B"
1430,1,57,69,0.269610,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^(3/2)),x)","-\frac{2}{\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}-\frac{2\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}}{\sqrt{a\,d-b\,c}}\right)}{{\left(a\,d-b\,c\right)}^{3/2}}","Not used",1,"- 2/((a*d - b*c)*(c + d*x)^(1/2)) - (2*b^(1/2)*atan((b^(1/2)*(c + d*x)^(1/2))/(a*d - b*c)^(1/2)))/(a*d - b*c)^(3/2)","B"
1431,1,123,99,0.185883,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)^(3/2)),x)","-\frac{\frac{2\,d}{a\,d-b\,c}+\frac{3\,b\,d\,\left(c+d\,x\right)}{{\left(a\,d-b\,c\right)}^2}}{b\,{\left(c+d\,x\right)}^{3/2}+\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}-\frac{3\,\sqrt{b}\,d\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^{5/2}}\right)}{{\left(a\,d-b\,c\right)}^{5/2}}","Not used",1,"- ((2*d)/(a*d - b*c) + (3*b*d*(c + d*x))/(a*d - b*c)^2)/(b*(c + d*x)^(3/2) + (a*d - b*c)*(c + d*x)^(1/2)) - (3*b^(1/2)*d*atan((b^(1/2)*(c + d*x)^(1/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*d - b*c)^(5/2)))/(a*d - b*c)^(5/2)","B"
1432,1,205,140,0.444350,"\text{Not used}","int(1/((a + b*x)^3*(c + d*x)^(3/2)),x)","-\frac{\frac{2\,d^2}{a\,d-b\,c}+\frac{15\,b^2\,d^2\,{\left(c+d\,x\right)}^2}{4\,{\left(a\,d-b\,c\right)}^3}+\frac{25\,b\,d^2\,\left(c+d\,x\right)}{4\,{\left(a\,d-b\,c\right)}^2}}{b^2\,{\left(c+d\,x\right)}^{5/2}-\left(2\,b^2\,c-2\,a\,b\,d\right)\,{\left(c+d\,x\right)}^{3/2}+\sqrt{c+d\,x}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{15\,\sqrt{b}\,d^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^{7/2}}\right)}{4\,{\left(a\,d-b\,c\right)}^{7/2}}","Not used",1,"- ((2*d^2)/(a*d - b*c) + (15*b^2*d^2*(c + d*x)^2)/(4*(a*d - b*c)^3) + (25*b*d^2*(c + d*x))/(4*(a*d - b*c)^2))/(b^2*(c + d*x)^(5/2) - (2*b^2*c - 2*a*b*d)*(c + d*x)^(3/2) + (c + d*x)^(1/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (15*b^(1/2)*d^2*atan((b^(1/2)*(c + d*x)^(1/2)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^(7/2)))/(4*(a*d - b*c)^(7/2))","B"
1433,1,294,173,0.541337,"\text{Not used}","int(1/((a + b*x)^4*(c + d*x)^(3/2)),x)","-\frac{\frac{2\,d^3}{a\,d-b\,c}+\frac{35\,b^2\,d^3\,{\left(c+d\,x\right)}^2}{3\,{\left(a\,d-b\,c\right)}^3}+\frac{35\,b^3\,d^3\,{\left(c+d\,x\right)}^3}{8\,{\left(a\,d-b\,c\right)}^4}+\frac{77\,b\,d^3\,\left(c+d\,x\right)}{8\,{\left(a\,d-b\,c\right)}^2}}{\sqrt{c+d\,x}\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)+b^3\,{\left(c+d\,x\right)}^{7/2}-\left(3\,b^3\,c-3\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^{5/2}+{\left(c+d\,x\right)}^{3/2}\,\left(3\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+3\,b^3\,c^2\right)}-\frac{35\,\sqrt{b}\,d^3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{{\left(a\,d-b\,c\right)}^{9/2}}\right)}{8\,{\left(a\,d-b\,c\right)}^{9/2}}","Not used",1,"- ((2*d^3)/(a*d - b*c) + (35*b^2*d^3*(c + d*x)^2)/(3*(a*d - b*c)^3) + (35*b^3*d^3*(c + d*x)^3)/(8*(a*d - b*c)^4) + (77*b*d^3*(c + d*x))/(8*(a*d - b*c)^2))/((c + d*x)^(1/2)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2) + b^3*(c + d*x)^(7/2) - (3*b^3*c - 3*a*b^2*d)*(c + d*x)^(5/2) + (c + d*x)^(3/2)*(3*b^3*c^2 + 3*a^2*b*d^2 - 6*a*b^2*c*d)) - (35*b^(1/2)*d^3*atan((b^(1/2)*(c + d*x)^(1/2)*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))/(a*d - b*c)^(9/2)))/(8*(a*d - b*c)^(9/2))","B"
1434,1,229,152,0.082502,"\text{Not used}","int((a + b*x)^5/(c + d*x)^(5/2),x)","\frac{2\,b^5\,{\left(c+d\,x\right)}^{7/2}}{7\,d^6}-\frac{\left(10\,b^5\,c-10\,a\,b^4\,d\right)\,{\left(c+d\,x\right)}^{5/2}}{5\,d^6}-\frac{\frac{2\,a^5\,d^5}{3}-\frac{2\,b^5\,c^5}{3}+\left(c+d\,x\right)\,\left(10\,a^4\,b\,d^4-40\,a^3\,b^2\,c\,d^3+60\,a^2\,b^3\,c^2\,d^2-40\,a\,b^4\,c^3\,d+10\,b^5\,c^4\right)-\frac{20\,a^2\,b^3\,c^3\,d^2}{3}+\frac{20\,a^3\,b^2\,c^2\,d^3}{3}+\frac{10\,a\,b^4\,c^4\,d}{3}-\frac{10\,a^4\,b\,c\,d^4}{3}}{d^6\,{\left(c+d\,x\right)}^{3/2}}+\frac{20\,b^2\,{\left(a\,d-b\,c\right)}^3\,\sqrt{c+d\,x}}{d^6}+\frac{20\,b^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^{3/2}}{3\,d^6}","Not used",1,"(2*b^5*(c + d*x)^(7/2))/(7*d^6) - ((10*b^5*c - 10*a*b^4*d)*(c + d*x)^(5/2))/(5*d^6) - ((2*a^5*d^5)/3 - (2*b^5*c^5)/3 + (c + d*x)*(10*b^5*c^4 + 10*a^4*b*d^4 - 40*a^3*b^2*c*d^3 + 60*a^2*b^3*c^2*d^2 - 40*a*b^4*c^3*d) - (20*a^2*b^3*c^3*d^2)/3 + (20*a^3*b^2*c^2*d^3)/3 + (10*a*b^4*c^4*d)/3 - (10*a^4*b*c*d^4)/3)/(d^6*(c + d*x)^(3/2)) + (20*b^2*(a*d - b*c)^3*(c + d*x)^(1/2))/d^6 + (20*b^3*(a*d - b*c)^2*(c + d*x)^(3/2))/(3*d^6)","B"
1435,1,175,125,0.301612,"\text{Not used}","int((a + b*x)^4/(c + d*x)^(5/2),x)","\frac{2\,b^4\,{\left(c+d\,x\right)}^{5/2}}{5\,d^5}-\frac{\left(8\,b^4\,c-8\,a\,b^3\,d\right)\,{\left(c+d\,x\right)}^{3/2}}{3\,d^5}+\frac{\left(c+d\,x\right)\,\left(-8\,a^3\,b\,d^3+24\,a^2\,b^2\,c\,d^2-24\,a\,b^3\,c^2\,d+8\,b^4\,c^3\right)-\frac{2\,a^4\,d^4}{3}-\frac{2\,b^4\,c^4}{3}-4\,a^2\,b^2\,c^2\,d^2+\frac{8\,a\,b^3\,c^3\,d}{3}+\frac{8\,a^3\,b\,c\,d^3}{3}}{d^5\,{\left(c+d\,x\right)}^{3/2}}+\frac{12\,b^2\,{\left(a\,d-b\,c\right)}^2\,\sqrt{c+d\,x}}{d^5}","Not used",1,"(2*b^4*(c + d*x)^(5/2))/(5*d^5) - ((8*b^4*c - 8*a*b^3*d)*(c + d*x)^(3/2))/(3*d^5) + ((c + d*x)*(8*b^4*c^3 - 8*a^3*b*d^3 + 24*a^2*b^2*c*d^2 - 24*a*b^3*c^2*d) - (2*a^4*d^4)/3 - (2*b^4*c^4)/3 - 4*a^2*b^2*c^2*d^2 + (8*a*b^3*c^3*d)/3 + (8*a^3*b*c*d^3)/3)/(d^5*(c + d*x)^(3/2)) + (12*b^2*(a*d - b*c)^2*(c + d*x)^(1/2))/d^5","B"
1436,1,128,96,0.088012,"\text{Not used}","int((a + b*x)^3/(c + d*x)^(5/2),x)","\frac{2\,b^3\,{\left(c+d\,x\right)}^3-2\,a^3\,d^3+2\,b^3\,c^3-18\,b^3\,c\,{\left(c+d\,x\right)}^2-18\,b^3\,c^2\,\left(c+d\,x\right)+18\,a\,b^2\,d\,{\left(c+d\,x\right)}^2-18\,a^2\,b\,d^2\,\left(c+d\,x\right)-6\,a\,b^2\,c^2\,d+6\,a^2\,b\,c\,d^2+36\,a\,b^2\,c\,d\,\left(c+d\,x\right)}{3\,d^4\,{\left(c+d\,x\right)}^{3/2}}","Not used",1,"(2*b^3*(c + d*x)^3 - 2*a^3*d^3 + 2*b^3*c^3 - 18*b^3*c*(c + d*x)^2 - 18*b^3*c^2*(c + d*x) + 18*a*b^2*d*(c + d*x)^2 - 18*a^2*b*d^2*(c + d*x) - 6*a*b^2*c^2*d + 6*a^2*b*c*d^2 + 36*a*b^2*c*d*(c + d*x))/(3*d^4*(c + d*x)^(3/2))","B"
1437,1,68,67,0.072222,"\text{Not used}","int((a + b*x)^2/(c + d*x)^(5/2),x)","\frac{6\,b^2\,{\left(c+d\,x\right)}^2-2\,a^2\,d^2-2\,b^2\,c^2+12\,b^2\,c\,\left(c+d\,x\right)-12\,a\,b\,d\,\left(c+d\,x\right)+4\,a\,b\,c\,d}{3\,d^3\,{\left(c+d\,x\right)}^{3/2}}","Not used",1,"(6*b^2*(c + d*x)^2 - 2*a^2*d^2 - 2*b^2*c^2 + 12*b^2*c*(c + d*x) - 12*a*b*d*(c + d*x) + 4*a*b*c*d)/(3*d^3*(c + d*x)^(3/2))","B"
1438,1,29,40,0.245725,"\text{Not used}","int((a + b*x)/(c + d*x)^(5/2),x)","-\frac{2\,a\,d-2\,b\,c+6\,b\,\left(c+d\,x\right)}{3\,d^2\,{\left(c+d\,x\right)}^{3/2}}","Not used",1,"-(2*a*d - 2*b*c + 6*b*(c + d*x))/(3*d^2*(c + d*x)^(3/2))","B"
1439,1,12,16,0.025552,"\text{Not used}","int(1/(c + d*x)^(5/2),x)","-\frac{2}{3\,d\,{\left(c+d\,x\right)}^{3/2}}","Not used",1,"-2/(3*d*(c + d*x)^(3/2))","B"
1440,1,100,93,0.332914,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^(5/2)),x)","\frac{2\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^{5/2}}\right)}{{\left(a\,d-b\,c\right)}^{5/2}}-\frac{\frac{2}{3\,\left(a\,d-b\,c\right)}-\frac{2\,b\,\left(c+d\,x\right)}{{\left(a\,d-b\,c\right)}^2}}{{\left(c+d\,x\right)}^{3/2}}","Not used",1,"(2*b^(3/2)*atan((b^(1/2)*(c + d*x)^(1/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*d - b*c)^(5/2)))/(a*d - b*c)^(5/2) - (2/(3*(a*d - b*c)) - (2*b*(c + d*x))/(a*d - b*c)^2)/(c + d*x)^(3/2)","B"
1441,1,161,124,0.376957,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)^(5/2)),x)","\frac{\frac{10\,b\,d\,\left(c+d\,x\right)}{3\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,d}{3\,\left(a\,d-b\,c\right)}+\frac{5\,b^2\,d\,{\left(c+d\,x\right)}^2}{{\left(a\,d-b\,c\right)}^3}}{b\,{\left(c+d\,x\right)}^{5/2}+\left(a\,d-b\,c\right)\,{\left(c+d\,x\right)}^{3/2}}+\frac{5\,b^{3/2}\,d\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^{7/2}}\right)}{{\left(a\,d-b\,c\right)}^{7/2}}","Not used",1,"((10*b*d*(c + d*x))/(3*(a*d - b*c)^2) - (2*d)/(3*(a*d - b*c)) + (5*b^2*d*(c + d*x)^2)/(a*d - b*c)^3)/(b*(c + d*x)^(5/2) + (a*d - b*c)*(c + d*x)^(3/2)) + (5*b^(3/2)*d*atan((b^(1/2)*(c + d*x)^(1/2)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^(7/2)))/(a*d - b*c)^(7/2)","B"
1442,1,243,167,0.284521,"\text{Not used}","int(1/((a + b*x)^3*(c + d*x)^(5/2)),x)","\frac{\frac{175\,b^2\,d^2\,{\left(c+d\,x\right)}^2}{12\,{\left(a\,d-b\,c\right)}^3}-\frac{2\,d^2}{3\,\left(a\,d-b\,c\right)}+\frac{35\,b^3\,d^2\,{\left(c+d\,x\right)}^3}{4\,{\left(a\,d-b\,c\right)}^4}+\frac{14\,b\,d^2\,\left(c+d\,x\right)}{3\,{\left(a\,d-b\,c\right)}^2}}{b^2\,{\left(c+d\,x\right)}^{7/2}-\left(2\,b^2\,c-2\,a\,b\,d\right)\,{\left(c+d\,x\right)}^{5/2}+{\left(c+d\,x\right)}^{3/2}\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{35\,b^{3/2}\,d^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{{\left(a\,d-b\,c\right)}^{9/2}}\right)}{4\,{\left(a\,d-b\,c\right)}^{9/2}}","Not used",1,"((175*b^2*d^2*(c + d*x)^2)/(12*(a*d - b*c)^3) - (2*d^2)/(3*(a*d - b*c)) + (35*b^3*d^2*(c + d*x)^3)/(4*(a*d - b*c)^4) + (14*b*d^2*(c + d*x))/(3*(a*d - b*c)^2))/(b^2*(c + d*x)^(7/2) - (2*b^2*c - 2*a*b*d)*(c + d*x)^(5/2) + (c + d*x)^(3/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (35*b^(3/2)*d^2*atan((b^(1/2)*(c + d*x)^(1/2)*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))/(a*d - b*c)^(9/2)))/(4*(a*d - b*c)^(9/2))","B"
1443,1,334,200,0.640635,"\text{Not used}","int(1/((a + b*x)^4*(c + d*x)^(5/2)),x)","\frac{\frac{231\,b^2\,d^3\,{\left(c+d\,x\right)}^2}{8\,{\left(a\,d-b\,c\right)}^3}-\frac{2\,d^3}{3\,\left(a\,d-b\,c\right)}+\frac{35\,b^3\,d^3\,{\left(c+d\,x\right)}^3}{{\left(a\,d-b\,c\right)}^4}+\frac{105\,b^4\,d^3\,{\left(c+d\,x\right)}^4}{8\,{\left(a\,d-b\,c\right)}^5}+\frac{6\,b\,d^3\,\left(c+d\,x\right)}{{\left(a\,d-b\,c\right)}^2}}{{\left(c+d\,x\right)}^{3/2}\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)+b^3\,{\left(c+d\,x\right)}^{9/2}-\left(3\,b^3\,c-3\,a\,b^2\,d\right)\,{\left(c+d\,x\right)}^{7/2}+{\left(c+d\,x\right)}^{5/2}\,\left(3\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+3\,b^3\,c^2\right)}+\frac{105\,b^{3/2}\,d^3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c+d\,x}\,\left(a^5\,d^5-5\,a^4\,b\,c\,d^4+10\,a^3\,b^2\,c^2\,d^3-10\,a^2\,b^3\,c^3\,d^2+5\,a\,b^4\,c^4\,d-b^5\,c^5\right)}{{\left(a\,d-b\,c\right)}^{11/2}}\right)}{8\,{\left(a\,d-b\,c\right)}^{11/2}}","Not used",1,"((231*b^2*d^3*(c + d*x)^2)/(8*(a*d - b*c)^3) - (2*d^3)/(3*(a*d - b*c)) + (35*b^3*d^3*(c + d*x)^3)/(a*d - b*c)^4 + (105*b^4*d^3*(c + d*x)^4)/(8*(a*d - b*c)^5) + (6*b*d^3*(c + d*x))/(a*d - b*c)^2)/((c + d*x)^(3/2)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2) + b^3*(c + d*x)^(9/2) - (3*b^3*c - 3*a*b^2*d)*(c + d*x)^(7/2) + (c + d*x)^(5/2)*(3*b^3*c^2 + 3*a^2*b*d^2 - 6*a*b^2*c*d)) + (105*b^(3/2)*d^3*atan((b^(1/2)*(c + d*x)^(1/2)*(a^5*d^5 - b^5*c^5 - 10*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 5*a*b^4*c^4*d - 5*a^4*b*c*d^4))/(a*d - b*c)^(11/2)))/(8*(a*d - b*c)^(11/2))","B"
1444,1,17,22,0.050147,"\text{Not used}","int((a*c + b*c*x)^(3/2)*(a + b*x)^5,x)","\frac{2\,{\left(c\,\left(a+b\,x\right)\right)}^{15/2}}{15\,b\,c^6}","Not used",1,"(2*(c*(a + b*x))^(15/2))/(15*b*c^6)","B"
1445,1,17,22,0.034385,"\text{Not used}","int((a*c + b*c*x)^(1/2)*(a + b*x)^5,x)","\frac{2\,{\left(c\,\left(a+b\,x\right)\right)}^{13/2}}{13\,b\,c^6}","Not used",1,"(2*(c*(a + b*x))^(13/2))/(13*b*c^6)","B"
1446,1,17,22,0.028415,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^(1/2),x)","\frac{2\,{\left(c\,\left(a+b\,x\right)\right)}^{11/2}}{11\,b\,c^6}","Not used",1,"(2*(c*(a + b*x))^(11/2))/(11*b*c^6)","B"
1447,1,17,22,0.028451,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^(3/2),x)","\frac{2\,{\left(c\,\left(a+b\,x\right)\right)}^{9/2}}{9\,b\,c^6}","Not used",1,"(2*(c*(a + b*x))^(9/2))/(9*b*c^6)","B"
1448,1,17,22,0.028412,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^(5/2),x)","\frac{2\,{\left(c\,\left(a+b\,x\right)\right)}^{7/2}}{7\,b\,c^6}","Not used",1,"(2*(c*(a + b*x))^(7/2))/(7*b*c^6)","B"
1449,1,17,22,0.028077,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^(7/2),x)","\frac{2\,{\left(c\,\left(a+b\,x\right)\right)}^{5/2}}{5\,b\,c^6}","Not used",1,"(2*(c*(a + b*x))^(5/2))/(5*b*c^6)","B"
1450,1,17,22,0.029460,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^(9/2),x)","\frac{2\,{\left(c\,\left(a+b\,x\right)\right)}^{3/2}}{3\,b\,c^6}","Not used",1,"(2*(c*(a + b*x))^(3/2))/(3*b*c^6)","B"
1451,1,17,20,0.030283,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^(11/2),x)","\frac{2\,\sqrt{c\,\left(a+b\,x\right)}}{b\,c^6}","Not used",1,"(2*(c*(a + b*x))^(1/2))/(b*c^6)","B"
1452,1,17,20,0.030315,"\text{Not used}","int((a + b*x)^5/(a*c + b*c*x)^(13/2),x)","-\frac{2}{b\,c^6\,\sqrt{c\,\left(a+b\,x\right)}}","Not used",1,"-2/(b*c^6*(c*(a + b*x))^(1/2))","B"
1453,1,10,14,0.053824,"\text{Not used}","int(1/((x - 2)*(x + 2)^(1/2)),x)","-\mathrm{atanh}\left(\frac{\sqrt{x+2}}{2}\right)","Not used",1,"-atanh((x + 2)^(1/2)/2)","B"
1454,1,15,25,0.060050,"\text{Not used}","int(1/((3*x + 2)*(5*x + 1)^(1/2)),x)","\frac{2\,\sqrt{21}\,\mathrm{atan}\left(\frac{\sqrt{105\,x+21}}{7}\right)}{21}","Not used",1,"(2*21^(1/2)*atan((105*x + 21)^(1/2)/7))/21","B"
1455,1,104,84,0.067830,"\text{Not used}","int((1 - x)^(1/3)/(x + 1),x)","2^{1/3}\,\ln\left(18\,{\left(1-x\right)}^{1/3}-18\,2^{1/3}\right)+3\,{\left(1-x\right)}^{1/3}+\frac{2^{1/3}\,\ln\left(18\,{\left(1-x\right)}^{1/3}-9\,2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-\frac{2^{1/3}\,\ln\left(18\,{\left(1-x\right)}^{1/3}+9\,2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}","Not used",1,"2^(1/3)*log(18*(1 - x)^(1/3) - 18*2^(1/3)) + 3*(1 - x)^(1/3) + (2^(1/3)*log(18*(1 - x)^(1/3) - 9*2^(1/3)*(3^(1/2)*1i - 1))*(3^(1/2)*1i - 1))/2 - (2^(1/3)*log(18*(1 - x)^(1/3) + 9*2^(1/3)*(3^(1/2)*1i + 1))*(3^(1/2)*1i + 1))/2","B"
1456,1,14,27,0.255389,"\text{Not used}","int((3 - 2*x)^(1/3)*(x + 7),x)","-\frac{3\,{\left(3-2\,x\right)}^{4/3}\,\left(8\,x+107\right)}{112}","Not used",1,"-(3*(3 - 2*x)^(4/3)*(8*x + 107))/112","B"
1457,1,21,38,0.046363,"\text{Not used}","int((1 - x)^(1/3)*(x + 1)^2,x)","-\frac{3\,{\left(1-x\right)}^{4/3}\,\left(40\,x+7\,{\left(x-1\right)}^2+30\right)}{70}","Not used",1,"-(3*(1 - x)^(4/3)*(40*x + 7*(x - 1)^2 + 30))/70","B"
1458,1,204,139,0.211096,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^(1/3)),x)","\frac{\ln\left(9\,b\,{\left(c+d\,x\right)}^{1/3}-\frac{9\,b^3\,c-9\,a\,b^2\,d}{b^{4/3}\,{\left(b\,c-a\,d\right)}^{2/3}}\right)}{b^{2/3}\,{\left(b\,c-a\,d\right)}^{1/3}}+\frac{\ln\left(9\,b\,{\left(c+d\,x\right)}^{1/3}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(9\,b^3\,c-9\,a\,b^2\,d\right)}{4\,b^{4/3}\,{\left(b\,c-a\,d\right)}^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,b^{2/3}\,{\left(b\,c-a\,d\right)}^{1/3}}-\frac{\ln\left(9\,b\,{\left(c+d\,x\right)}^{1/3}-\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(9\,b^3\,c-9\,a\,b^2\,d\right)}{4\,b^{4/3}\,{\left(b\,c-a\,d\right)}^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,b^{2/3}\,{\left(b\,c-a\,d\right)}^{1/3}}","Not used",1,"log(9*b*(c + d*x)^(1/3) - (9*b^3*c - 9*a*b^2*d)/(b^(4/3)*(b*c - a*d)^(2/3)))/(b^(2/3)*(b*c - a*d)^(1/3)) + (log(9*b*(c + d*x)^(1/3) - ((3^(1/2)*1i - 1)^2*(9*b^3*c - 9*a*b^2*d))/(4*b^(4/3)*(b*c - a*d)^(2/3)))*(3^(1/2)*1i - 1))/(2*b^(2/3)*(b*c - a*d)^(1/3)) - (log(9*b*(c + d*x)^(1/3) - ((3^(1/2)*1i + 1)^2*(9*b^3*c - 9*a*b^2*d))/(4*b^(4/3)*(b*c - a*d)^(2/3)))*(3^(1/2)*1i + 1))/(2*b^(2/3)*(b*c - a*d)^(1/3))","B"
1459,1,206,140,0.368740,"\text{Not used}","int(1/((a + b*x)*(c + d*x)^(2/3)),x)","\frac{\ln\left(9\,b^2\,{\left(c+d\,x\right)}^{1/3}-\frac{9\,b^3\,c-9\,a\,b^2\,d}{b^{1/3}\,{\left(a\,d-b\,c\right)}^{2/3}}\right)}{b^{1/3}\,{\left(a\,d-b\,c\right)}^{2/3}}+\frac{\ln\left(9\,b^2\,{\left(c+d\,x\right)}^{1/3}-\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(9\,b^3\,c-9\,a\,b^2\,d\right)}{2\,b^{1/3}\,{\left(a\,d-b\,c\right)}^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,b^{1/3}\,{\left(a\,d-b\,c\right)}^{2/3}}-\frac{\ln\left(9\,b^2\,{\left(c+d\,x\right)}^{1/3}+\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(9\,b^3\,c-9\,a\,b^2\,d\right)}{2\,b^{1/3}\,{\left(a\,d-b\,c\right)}^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,b^{1/3}\,{\left(a\,d-b\,c\right)}^{2/3}}","Not used",1,"log(9*b^2*(c + d*x)^(1/3) - (9*b^3*c - 9*a*b^2*d)/(b^(1/3)*(a*d - b*c)^(2/3)))/(b^(1/3)*(a*d - b*c)^(2/3)) + (log(9*b^2*(c + d*x)^(1/3) - ((3^(1/2)*1i - 1)*(9*b^3*c - 9*a*b^2*d))/(2*b^(1/3)*(a*d - b*c)^(2/3)))*(3^(1/2)*1i - 1))/(2*b^(1/3)*(a*d - b*c)^(2/3)) - (log(9*b^2*(c + d*x)^(1/3) + ((3^(1/2)*1i + 1)*(9*b^3*c - 9*a*b^2*d))/(2*b^(1/3)*(a*d - b*c)^(2/3)))*(3^(1/2)*1i + 1))/(2*b^(1/3)*(a*d - b*c)^(2/3))","B"
1460,0,-1,230,0.000000,"\text{Not used}","int((a + b*x)^(7/2)*(c + d*x)^(1/2),x)","\int {\left(a+b\,x\right)}^{7/2}\,\sqrt{c+d\,x} \,d x","Not used",1,"int((a + b*x)^(7/2)*(c + d*x)^(1/2), x)","F"
1461,0,-1,192,0.000000,"\text{Not used}","int((a + b*x)^(5/2)*(c + d*x)^(1/2),x)","\int {\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x} \,d x","Not used",1,"int((a + b*x)^(5/2)*(c + d*x)^(1/2), x)","F"
1462,0,-1,154,0.000000,"\text{Not used}","int((a + b*x)^(3/2)*(c + d*x)^(1/2),x)","\int {\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x} \,d x","Not used",1,"int((a + b*x)^(3/2)*(c + d*x)^(1/2), x)","F"
1463,1,88,116,0.136347,"\text{Not used}","int((a + b*x)^(1/2)*(c + d*x)^(1/2),x)","\left(\frac{x}{2}+\frac{a\,d+b\,c}{4\,b\,d}\right)\,\sqrt{a+b\,x}\,\sqrt{c+d\,x}-\frac{\ln\left(a\,d+b\,c+2\,b\,d\,x+2\,\sqrt{b}\,\sqrt{d}\,\sqrt{a+b\,x}\,\sqrt{c+d\,x}\right)\,{\left(a\,d-b\,c\right)}^2}{8\,b^{3/2}\,d^{3/2}}","Not used",1,"(x/2 + (a*d + b*c)/(4*b*d))*(a + b*x)^(1/2)*(c + d*x)^(1/2) - (log(a*d + b*c + 2*b*d*x + 2*b^(1/2)*d^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2))*(a*d - b*c)^2)/(8*b^(3/2)*d^(3/2))","B"
1464,1,260,72,4.005258,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^(1/2),x)","\frac{\frac{\left(2\,a\,d+2\,b\,c\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d^2\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}+\frac{\left(2\,a\,d+2\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{b\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}-\frac{8\,\sqrt{a}\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}+\frac{b^2}{d^2}-\frac{2\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{b}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\left(a\,d-b\,c\right)}{b^{3/2}\,\sqrt{d}}","Not used",1,"(((2*a*d + 2*b*c)*((a + b*x)^(1/2) - a^(1/2)))/(d^2*((c + d*x)^(1/2) - c^(1/2))) + ((2*a*d + 2*b*c)*((a + b*x)^(1/2) - a^(1/2))^3)/(b*d*((c + d*x)^(1/2) - c^(1/2))^3) - (8*a^(1/2)*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(d*((c + d*x)^(1/2) - c^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^4/((c + d*x)^(1/2) - c^(1/2))^4 + b^2/d^2 - (2*b*((a + b*x)^(1/2) - a^(1/2))^2)/(d*((c + d*x)^(1/2) - c^(1/2))^2)) - (2*atanh((d^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((c + d*x)^(1/2) - c^(1/2))))*(a*d - b*c))/(b^(3/2)*d^(1/2))","B"
1465,0,-1,66,0.000000,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^(3/2),x)","\int \frac{\sqrt{c+d\,x}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(1/2)/(a + b*x)^(3/2), x)","F"
1466,1,27,32,0.716664,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^(5/2),x)","\frac{2\,{\left(c+d\,x\right)}^{3/2}}{\left(3\,a\,d-3\,b\,c\right)\,{\left(a+b\,x\right)}^{3/2}}","Not used",1,"(2*(c + d*x)^(3/2))/((3*a*d - 3*b*c)*(a + b*x)^(3/2))","B"
1467,1,127,66,0.822017,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^(7/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{x\,\left(10\,a\,d^2-2\,b\,c\,d\right)}{15\,b^2\,{\left(a\,d-b\,c\right)}^2}-\frac{6\,b\,c^2-10\,a\,c\,d}{15\,b^2\,{\left(a\,d-b\,c\right)}^2}+\frac{4\,d^2\,x^2}{15\,b\,{\left(a\,d-b\,c\right)}^2}\right)}{x^2\,\sqrt{a+b\,x}+\frac{a^2\,\sqrt{a+b\,x}}{b^2}+\frac{2\,a\,x\,\sqrt{a+b\,x}}{b}}","Not used",1,"((c + d*x)^(1/2)*((x*(10*a*d^2 - 2*b*c*d))/(15*b^2*(a*d - b*c)^2) - (6*b*c^2 - 10*a*c*d)/(15*b^2*(a*d - b*c)^2) + (4*d^2*x^2)/(15*b*(a*d - b*c)^2)))/(x^2*(a + b*x)^(1/2) + (a^2*(a + b*x)^(1/2))/b^2 + (2*a*x*(a + b*x)^(1/2))/b)","B"
1468,1,203,101,0.966048,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^(9/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{70\,a^2\,c\,d^2-84\,a\,b\,c^2\,d+30\,b^2\,c^3}{105\,b^3\,{\left(a\,d-b\,c\right)}^3}+\frac{x\,\left(70\,a^2\,d^3-28\,a\,b\,c\,d^2+6\,b^2\,c^2\,d\right)}{105\,b^3\,{\left(a\,d-b\,c\right)}^3}+\frac{16\,d^3\,x^3}{105\,b\,{\left(a\,d-b\,c\right)}^3}+\frac{8\,d^2\,x^2\,\left(7\,a\,d-b\,c\right)}{105\,b^2\,{\left(a\,d-b\,c\right)}^3}\right)}{x^3\,\sqrt{a+b\,x}+\frac{a^3\,\sqrt{a+b\,x}}{b^3}+\frac{3\,a\,x^2\,\sqrt{a+b\,x}}{b}+\frac{3\,a^2\,x\,\sqrt{a+b\,x}}{b^2}}","Not used",1,"((c + d*x)^(1/2)*((30*b^2*c^3 + 70*a^2*c*d^2 - 84*a*b*c^2*d)/(105*b^3*(a*d - b*c)^3) + (x*(70*a^2*d^3 + 6*b^2*c^2*d - 28*a*b*c*d^2))/(105*b^3*(a*d - b*c)^3) + (16*d^3*x^3)/(105*b*(a*d - b*c)^3) + (8*d^2*x^2*(7*a*d - b*c))/(105*b^2*(a*d - b*c)^3)))/(x^3*(a + b*x)^(1/2) + (a^3*(a + b*x)^(1/2))/b^3 + (3*a*x^2*(a + b*x)^(1/2))/b + (3*a^2*x*(a + b*x)^(1/2))/b^2)","B"
1469,1,292,136,1.183714,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^(11/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{32\,d^4\,x^4}{315\,b\,{\left(a\,d-b\,c\right)}^4}-\frac{-210\,a^3\,c\,d^3+378\,a^2\,b\,c^2\,d^2-270\,a\,b^2\,c^3\,d+70\,b^3\,c^4}{315\,b^4\,{\left(a\,d-b\,c\right)}^4}+\frac{x\,\left(210\,a^3\,d^4-126\,a^2\,b\,c\,d^3+54\,a\,b^2\,c^2\,d^2-10\,b^3\,c^3\,d\right)}{315\,b^4\,{\left(a\,d-b\,c\right)}^4}+\frac{16\,d^3\,x^3\,\left(9\,a\,d-b\,c\right)}{315\,b^2\,{\left(a\,d-b\,c\right)}^4}+\frac{4\,d^2\,x^2\,\left(21\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2\right)}{105\,b^3\,{\left(a\,d-b\,c\right)}^4}\right)}{x^4\,\sqrt{a+b\,x}+\frac{a^4\,\sqrt{a+b\,x}}{b^4}+\frac{6\,a^2\,x^2\,\sqrt{a+b\,x}}{b^2}+\frac{4\,a\,x^3\,\sqrt{a+b\,x}}{b}+\frac{4\,a^3\,x\,\sqrt{a+b\,x}}{b^3}}","Not used",1,"((c + d*x)^(1/2)*((32*d^4*x^4)/(315*b*(a*d - b*c)^4) - (70*b^3*c^4 - 210*a^3*c*d^3 + 378*a^2*b*c^2*d^2 - 270*a*b^2*c^3*d)/(315*b^4*(a*d - b*c)^4) + (x*(210*a^3*d^4 - 10*b^3*c^3*d + 54*a*b^2*c^2*d^2 - 126*a^2*b*c*d^3))/(315*b^4*(a*d - b*c)^4) + (16*d^3*x^3*(9*a*d - b*c))/(315*b^2*(a*d - b*c)^4) + (4*d^2*x^2*(21*a^2*d^2 + b^2*c^2 - 6*a*b*c*d))/(105*b^3*(a*d - b*c)^4)))/(x^4*(a + b*x)^(1/2) + (a^4*(a + b*x)^(1/2))/b^4 + (6*a^2*x^2*(a + b*x)^(1/2))/b^2 + (4*a*x^3*(a + b*x)^(1/2))/b + (4*a^3*x*(a + b*x)^(1/2))/b^3)","B"
1470,1,397,171,1.432347,"\text{Not used}","int((c + d*x)^(1/2)/(a + b*x)^(13/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{2310\,a^4\,c\,d^4-5544\,a^3\,b\,c^2\,d^3+5940\,a^2\,b^2\,c^3\,d^2-3080\,a\,b^3\,c^4\,d+630\,b^4\,c^5}{3465\,b^5\,{\left(a\,d-b\,c\right)}^5}+\frac{x\,\left(2310\,a^4\,d^5-1848\,a^3\,b\,c\,d^4+1188\,a^2\,b^2\,c^2\,d^3-440\,a\,b^3\,c^3\,d^2+70\,b^4\,c^4\,d\right)}{3465\,b^5\,{\left(a\,d-b\,c\right)}^5}+\frac{256\,d^5\,x^5}{3465\,b\,{\left(a\,d-b\,c\right)}^5}+\frac{16\,d^2\,x^2\,\left(231\,a^3\,d^3-99\,a^2\,b\,c\,d^2+33\,a\,b^2\,c^2\,d-5\,b^3\,c^3\right)}{3465\,b^4\,{\left(a\,d-b\,c\right)}^5}+\frac{128\,d^4\,x^4\,\left(11\,a\,d-b\,c\right)}{3465\,b^2\,{\left(a\,d-b\,c\right)}^5}+\frac{32\,d^3\,x^3\,\left(99\,a^2\,d^2-22\,a\,b\,c\,d+3\,b^2\,c^2\right)}{3465\,b^3\,{\left(a\,d-b\,c\right)}^5}\right)}{x^5\,\sqrt{a+b\,x}+\frac{a^5\,\sqrt{a+b\,x}}{b^5}+\frac{10\,a^2\,x^3\,\sqrt{a+b\,x}}{b^2}+\frac{10\,a^3\,x^2\,\sqrt{a+b\,x}}{b^3}+\frac{5\,a\,x^4\,\sqrt{a+b\,x}}{b}+\frac{5\,a^4\,x\,\sqrt{a+b\,x}}{b^4}}","Not used",1,"((c + d*x)^(1/2)*((630*b^4*c^5 + 2310*a^4*c*d^4 - 5544*a^3*b*c^2*d^3 + 5940*a^2*b^2*c^3*d^2 - 3080*a*b^3*c^4*d)/(3465*b^5*(a*d - b*c)^5) + (x*(2310*a^4*d^5 + 70*b^4*c^4*d - 440*a*b^3*c^3*d^2 + 1188*a^2*b^2*c^2*d^3 - 1848*a^3*b*c*d^4))/(3465*b^5*(a*d - b*c)^5) + (256*d^5*x^5)/(3465*b*(a*d - b*c)^5) + (16*d^2*x^2*(231*a^3*d^3 - 5*b^3*c^3 + 33*a*b^2*c^2*d - 99*a^2*b*c*d^2))/(3465*b^4*(a*d - b*c)^5) + (128*d^4*x^4*(11*a*d - b*c))/(3465*b^2*(a*d - b*c)^5) + (32*d^3*x^3*(99*a^2*d^2 + 3*b^2*c^2 - 22*a*b*c*d))/(3465*b^3*(a*d - b*c)^5)))/(x^5*(a + b*x)^(1/2) + (a^5*(a + b*x)^(1/2))/b^5 + (10*a^2*x^3*(a + b*x)^(1/2))/b^2 + (10*a^3*x^2*(a + b*x)^(1/2))/b^3 + (5*a*x^4*(a + b*x)^(1/2))/b + (5*a^4*x*(a + b*x)^(1/2))/b^4)","B"
1471,0,-1,227,0.000000,"\text{Not used}","int((a + b*x)^(5/2)*(c + d*x)^(3/2),x)","\int {\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)^(5/2)*(c + d*x)^(3/2), x)","F"
1472,0,-1,189,0.000000,"\text{Not used}","int((a + b*x)^(3/2)*(c + d*x)^(3/2),x)","\int {\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)^(3/2)*(c + d*x)^(3/2), x)","F"
1473,0,-1,151,0.000000,"\text{Not used}","int((a + b*x)^(1/2)*(c + d*x)^(3/2),x)","\int \sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)^(1/2)*(c + d*x)^(3/2), x)","F"
1474,0,-1,113,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^(1/2),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(a + b*x)^(1/2), x)","F"
1475,0,-1,98,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^(3/2),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(a + b*x)^(3/2), x)","F"
1476,0,-1,92,0.000000,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^(5/2),x)","\int \frac{{\left(c+d\,x\right)}^{3/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(3/2)/(a + b*x)^(5/2), x)","F"
1477,1,27,32,0.796141,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^(7/2),x)","\frac{2\,{\left(c+d\,x\right)}^{5/2}}{\left(5\,a\,d-5\,b\,c\right)\,{\left(a+b\,x\right)}^{5/2}}","Not used",1,"(2*(c + d*x)^(5/2))/((5*a*d - 5*b*c)*(a + b*x)^(5/2))","B"
1478,1,178,66,0.926318,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^(9/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{4\,d^3\,x^3}{35\,b^2\,{\left(a\,d-b\,c\right)}^2}-\frac{10\,b\,c^3-14\,a\,c^2\,d}{35\,b^3\,{\left(a\,d-b\,c\right)}^2}+\frac{x^2\,\left(14\,a\,d^3-2\,b\,c\,d^2\right)}{35\,b^3\,{\left(a\,d-b\,c\right)}^2}+\frac{4\,c\,d\,x\,\left(7\,a\,d-4\,b\,c\right)}{35\,b^3\,{\left(a\,d-b\,c\right)}^2}\right)}{x^3\,\sqrt{a+b\,x}+\frac{a^3\,\sqrt{a+b\,x}}{b^3}+\frac{3\,a\,x^2\,\sqrt{a+b\,x}}{b}+\frac{3\,a^2\,x\,\sqrt{a+b\,x}}{b^2}}","Not used",1,"((c + d*x)^(1/2)*((4*d^3*x^3)/(35*b^2*(a*d - b*c)^2) - (10*b*c^3 - 14*a*c^2*d)/(35*b^3*(a*d - b*c)^2) + (x^2*(14*a*d^3 - 2*b*c*d^2))/(35*b^3*(a*d - b*c)^2) + (4*c*d*x*(7*a*d - 4*b*c))/(35*b^3*(a*d - b*c)^2)))/(x^3*(a + b*x)^(1/2) + (a^3*(a + b*x)^(1/2))/b^3 + (3*a*x^2*(a + b*x)^(1/2))/b + (3*a^2*x*(a + b*x)^(1/2))/b^2)","B"
1479,1,268,101,1.113352,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^(11/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{126\,a^2\,c^2\,d^2-180\,a\,b\,c^3\,d+70\,b^2\,c^4}{315\,b^4\,{\left(a\,d-b\,c\right)}^3}+\frac{x^2\,\left(126\,a^2\,d^4-36\,a\,b\,c\,d^3+6\,b^2\,c^2\,d^2\right)}{315\,b^4\,{\left(a\,d-b\,c\right)}^3}+\frac{16\,d^4\,x^4}{315\,b^2\,{\left(a\,d-b\,c\right)}^3}+\frac{8\,d^3\,x^3\,\left(9\,a\,d-b\,c\right)}{315\,b^3\,{\left(a\,d-b\,c\right)}^3}+\frac{4\,c\,d\,x\,\left(63\,a^2\,d^2-72\,a\,b\,c\,d+25\,b^2\,c^2\right)}{315\,b^4\,{\left(a\,d-b\,c\right)}^3}\right)}{x^4\,\sqrt{a+b\,x}+\frac{a^4\,\sqrt{a+b\,x}}{b^4}+\frac{6\,a^2\,x^2\,\sqrt{a+b\,x}}{b^2}+\frac{4\,a\,x^3\,\sqrt{a+b\,x}}{b}+\frac{4\,a^3\,x\,\sqrt{a+b\,x}}{b^3}}","Not used",1,"((c + d*x)^(1/2)*((70*b^2*c^4 + 126*a^2*c^2*d^2 - 180*a*b*c^3*d)/(315*b^4*(a*d - b*c)^3) + (x^2*(126*a^2*d^4 + 6*b^2*c^2*d^2 - 36*a*b*c*d^3))/(315*b^4*(a*d - b*c)^3) + (16*d^4*x^4)/(315*b^2*(a*d - b*c)^3) + (8*d^3*x^3*(9*a*d - b*c))/(315*b^3*(a*d - b*c)^3) + (4*c*d*x*(63*a^2*d^2 + 25*b^2*c^2 - 72*a*b*c*d))/(315*b^4*(a*d - b*c)^3)))/(x^4*(a + b*x)^(1/2) + (a^4*(a + b*x)^(1/2))/b^4 + (6*a^2*x^2*(a + b*x)^(1/2))/b^2 + (4*a*x^3*(a + b*x)^(1/2))/b + (4*a^3*x*(a + b*x)^(1/2))/b^3)","B"
1480,1,376,136,1.332563,"\text{Not used}","int((c + d*x)^(3/2)/(a + b*x)^(13/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{x^2\,\left(462\,a^3\,d^5-198\,a^2\,b\,c\,d^4+66\,a\,b^2\,c^2\,d^3-10\,b^3\,c^3\,d^2\right)}{1155\,b^5\,{\left(a\,d-b\,c\right)}^4}-\frac{-462\,a^3\,c^2\,d^3+990\,a^2\,b\,c^3\,d^2-770\,a\,b^2\,c^4\,d+210\,b^3\,c^5}{1155\,b^5\,{\left(a\,d-b\,c\right)}^4}+\frac{x\,\left(924\,a^3\,c\,d^4-1584\,a^2\,b\,c^2\,d^3+1100\,a\,b^2\,c^3\,d^2-280\,b^3\,c^4\,d\right)}{1155\,b^5\,{\left(a\,d-b\,c\right)}^4}+\frac{32\,d^5\,x^5}{1155\,b^2\,{\left(a\,d-b\,c\right)}^4}+\frac{16\,d^4\,x^4\,\left(11\,a\,d-b\,c\right)}{1155\,b^3\,{\left(a\,d-b\,c\right)}^4}+\frac{4\,d^3\,x^3\,\left(99\,a^2\,d^2-22\,a\,b\,c\,d+3\,b^2\,c^2\right)}{1155\,b^4\,{\left(a\,d-b\,c\right)}^4}\right)}{x^5\,\sqrt{a+b\,x}+\frac{a^5\,\sqrt{a+b\,x}}{b^5}+\frac{10\,a^2\,x^3\,\sqrt{a+b\,x}}{b^2}+\frac{10\,a^3\,x^2\,\sqrt{a+b\,x}}{b^3}+\frac{5\,a\,x^4\,\sqrt{a+b\,x}}{b}+\frac{5\,a^4\,x\,\sqrt{a+b\,x}}{b^4}}","Not used",1,"((c + d*x)^(1/2)*((x^2*(462*a^3*d^5 - 10*b^3*c^3*d^2 + 66*a*b^2*c^2*d^3 - 198*a^2*b*c*d^4))/(1155*b^5*(a*d - b*c)^4) - (210*b^3*c^5 - 462*a^3*c^2*d^3 + 990*a^2*b*c^3*d^2 - 770*a*b^2*c^4*d)/(1155*b^5*(a*d - b*c)^4) + (x*(924*a^3*c*d^4 - 280*b^3*c^4*d + 1100*a*b^2*c^3*d^2 - 1584*a^2*b*c^2*d^3))/(1155*b^5*(a*d - b*c)^4) + (32*d^5*x^5)/(1155*b^2*(a*d - b*c)^4) + (16*d^4*x^4*(11*a*d - b*c))/(1155*b^3*(a*d - b*c)^4) + (4*d^3*x^3*(99*a^2*d^2 + 3*b^2*c^2 - 22*a*b*c*d))/(1155*b^4*(a*d - b*c)^4)))/(x^5*(a + b*x)^(1/2) + (a^5*(a + b*x)^(1/2))/b^5 + (10*a^2*x^3*(a + b*x)^(1/2))/b^2 + (10*a^3*x^2*(a + b*x)^(1/2))/b^3 + (5*a*x^4*(a + b*x)^(1/2))/b + (5*a^4*x*(a + b*x)^(1/2))/b^4)","B"
1481,0,-1,262,0.000000,"\text{Not used}","int((a + b*x)^(5/2)*(c + d*x)^(5/2),x)","\int {\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)^(5/2)*(c + d*x)^(5/2), x)","F"
1482,0,-1,224,0.000000,"\text{Not used}","int((a + b*x)^(3/2)*(c + d*x)^(5/2),x)","\int {\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)^(3/2)*(c + d*x)^(5/2), x)","F"
1483,0,-1,186,0.000000,"\text{Not used}","int((a + b*x)^(1/2)*(c + d*x)^(5/2),x)","\int \sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)^(1/2)*(c + d*x)^(5/2), x)","F"
1484,0,-1,148,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^(1/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(a + b*x)^(1/2), x)","F"
1485,0,-1,138,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^(3/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(a + b*x)^(3/2), x)","F"
1486,0,-1,128,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^(5/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(a + b*x)^(5/2), x)","F"
1487,0,-1,120,0.000000,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^(7/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/2}}{{\left(a+b\,x\right)}^{7/2}} \,d x","Not used",1,"int((c + d*x)^(5/2)/(a + b*x)^(7/2), x)","F"
1488,1,27,32,0.971233,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^(9/2),x)","\frac{2\,{\left(c+d\,x\right)}^{7/2}}{\left(7\,a\,d-7\,b\,c\right)\,{\left(a+b\,x\right)}^{7/2}}","Not used",1,"(2*(c + d*x)^(7/2))/((7*a*d - 7*b*c)*(a + b*x)^(7/2))","B"
1489,1,229,66,1.139827,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^(11/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{4\,d^4\,x^4}{63\,b^3\,{\left(a\,d-b\,c\right)}^2}-\frac{14\,b\,c^4-18\,a\,c^3\,d}{63\,b^4\,{\left(a\,d-b\,c\right)}^2}+\frac{x^3\,\left(18\,a\,d^4-2\,b\,c\,d^3\right)}{63\,b^4\,{\left(a\,d-b\,c\right)}^2}+\frac{2\,c^2\,d\,x\,\left(27\,a\,d-19\,b\,c\right)}{63\,b^4\,{\left(a\,d-b\,c\right)}^2}+\frac{2\,c\,d^2\,x^2\,\left(9\,a\,d-5\,b\,c\right)}{21\,b^4\,{\left(a\,d-b\,c\right)}^2}\right)}{x^4\,\sqrt{a+b\,x}+\frac{a^4\,\sqrt{a+b\,x}}{b^4}+\frac{6\,a^2\,x^2\,\sqrt{a+b\,x}}{b^2}+\frac{4\,a\,x^3\,\sqrt{a+b\,x}}{b}+\frac{4\,a^3\,x\,\sqrt{a+b\,x}}{b^3}}","Not used",1,"((c + d*x)^(1/2)*((4*d^4*x^4)/(63*b^3*(a*d - b*c)^2) - (14*b*c^4 - 18*a*c^3*d)/(63*b^4*(a*d - b*c)^2) + (x^3*(18*a*d^4 - 2*b*c*d^3))/(63*b^4*(a*d - b*c)^2) + (2*c^2*d*x*(27*a*d - 19*b*c))/(63*b^4*(a*d - b*c)^2) + (2*c*d^2*x^2*(9*a*d - 5*b*c))/(21*b^4*(a*d - b*c)^2)))/(x^4*(a + b*x)^(1/2) + (a^4*(a + b*x)^(1/2))/b^4 + (6*a^2*x^2*(a + b*x)^(1/2))/b^2 + (4*a*x^3*(a + b*x)^(1/2))/b + (4*a^3*x*(a + b*x)^(1/2))/b^3)","B"
1490,1,333,101,1.354574,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^(13/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{198\,a^2\,c^3\,d^2-308\,a\,b\,c^4\,d+126\,b^2\,c^5}{693\,b^5\,{\left(a\,d-b\,c\right)}^3}+\frac{x^3\,\left(198\,a^2\,d^5-44\,a\,b\,c\,d^4+6\,b^2\,c^2\,d^3\right)}{693\,b^5\,{\left(a\,d-b\,c\right)}^3}+\frac{16\,d^5\,x^5}{693\,b^3\,{\left(a\,d-b\,c\right)}^3}+\frac{8\,d^4\,x^4\,\left(11\,a\,d-b\,c\right)}{693\,b^4\,{\left(a\,d-b\,c\right)}^3}+\frac{2\,c\,d^2\,x^2\,\left(297\,a^2\,d^2-330\,a\,b\,c\,d+113\,b^2\,c^2\right)}{693\,b^5\,{\left(a\,d-b\,c\right)}^3}+\frac{2\,c^2\,d\,x\,\left(297\,a^2\,d^2-418\,a\,b\,c\,d+161\,b^2\,c^2\right)}{693\,b^5\,{\left(a\,d-b\,c\right)}^3}\right)}{x^5\,\sqrt{a+b\,x}+\frac{a^5\,\sqrt{a+b\,x}}{b^5}+\frac{10\,a^2\,x^3\,\sqrt{a+b\,x}}{b^2}+\frac{10\,a^3\,x^2\,\sqrt{a+b\,x}}{b^3}+\frac{5\,a\,x^4\,\sqrt{a+b\,x}}{b}+\frac{5\,a^4\,x\,\sqrt{a+b\,x}}{b^4}}","Not used",1,"((c + d*x)^(1/2)*((126*b^2*c^5 + 198*a^2*c^3*d^2 - 308*a*b*c^4*d)/(693*b^5*(a*d - b*c)^3) + (x^3*(198*a^2*d^5 + 6*b^2*c^2*d^3 - 44*a*b*c*d^4))/(693*b^5*(a*d - b*c)^3) + (16*d^5*x^5)/(693*b^3*(a*d - b*c)^3) + (8*d^4*x^4*(11*a*d - b*c))/(693*b^4*(a*d - b*c)^3) + (2*c*d^2*x^2*(297*a^2*d^2 + 113*b^2*c^2 - 330*a*b*c*d))/(693*b^5*(a*d - b*c)^3) + (2*c^2*d*x*(297*a^2*d^2 + 161*b^2*c^2 - 418*a*b*c*d))/(693*b^5*(a*d - b*c)^3)))/(x^5*(a + b*x)^(1/2) + (a^5*(a + b*x)^(1/2))/b^5 + (10*a^2*x^3*(a + b*x)^(1/2))/b^2 + (10*a^3*x^2*(a + b*x)^(1/2))/b^3 + (5*a*x^4*(a + b*x)^(1/2))/b + (5*a^4*x*(a + b*x)^(1/2))/b^4)","B"
1491,1,459,136,1.615391,"\text{Not used}","int((c + d*x)^(5/2)/(a + b*x)^(15/2),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{x^2\,\left(2574\,a^3\,c\,d^5-4290\,a^2\,b\,c^2\,d^4+2938\,a\,b^2\,c^3\,d^3-742\,b^3\,c^4\,d^2\right)}{3003\,b^6\,{\left(a\,d-b\,c\right)}^4}-\frac{-858\,a^3\,c^3\,d^3+2002\,a^2\,b\,c^4\,d^2-1638\,a\,b^2\,c^5\,d+462\,b^3\,c^6}{3003\,b^6\,{\left(a\,d-b\,c\right)}^4}+\frac{x^3\,\left(858\,a^3\,d^6-286\,a^2\,b\,c\,d^5+78\,a\,b^2\,c^2\,d^4-10\,b^3\,c^3\,d^3\right)}{3003\,b^6\,{\left(a\,d-b\,c\right)}^4}+\frac{32\,d^6\,x^6}{3003\,b^3\,{\left(a\,d-b\,c\right)}^4}-\frac{x\,\left(-2574\,a^3\,c^2\,d^4+5434\,a^2\,b\,c^3\,d^3-4186\,a\,b^2\,c^4\,d^2+1134\,b^3\,c^5\,d\right)}{3003\,b^6\,{\left(a\,d-b\,c\right)}^4}+\frac{16\,d^5\,x^5\,\left(13\,a\,d-b\,c\right)}{3003\,b^4\,{\left(a\,d-b\,c\right)}^4}+\frac{4\,d^4\,x^4\,\left(143\,a^2\,d^2-26\,a\,b\,c\,d+3\,b^2\,c^2\right)}{3003\,b^5\,{\left(a\,d-b\,c\right)}^4}\right)}{x^6\,\sqrt{a+b\,x}+\frac{a^6\,\sqrt{a+b\,x}}{b^6}+\frac{15\,a^2\,x^4\,\sqrt{a+b\,x}}{b^2}+\frac{20\,a^3\,x^3\,\sqrt{a+b\,x}}{b^3}+\frac{15\,a^4\,x^2\,\sqrt{a+b\,x}}{b^4}+\frac{6\,a\,x^5\,\sqrt{a+b\,x}}{b}+\frac{6\,a^5\,x\,\sqrt{a+b\,x}}{b^5}}","Not used",1,"((c + d*x)^(1/2)*((x^2*(2574*a^3*c*d^5 - 742*b^3*c^4*d^2 + 2938*a*b^2*c^3*d^3 - 4290*a^2*b*c^2*d^4))/(3003*b^6*(a*d - b*c)^4) - (462*b^3*c^6 - 858*a^3*c^3*d^3 + 2002*a^2*b*c^4*d^2 - 1638*a*b^2*c^5*d)/(3003*b^6*(a*d - b*c)^4) + (x^3*(858*a^3*d^6 - 10*b^3*c^3*d^3 + 78*a*b^2*c^2*d^4 - 286*a^2*b*c*d^5))/(3003*b^6*(a*d - b*c)^4) + (32*d^6*x^6)/(3003*b^3*(a*d - b*c)^4) - (x*(1134*b^3*c^5*d - 2574*a^3*c^2*d^4 - 4186*a*b^2*c^4*d^2 + 5434*a^2*b*c^3*d^3))/(3003*b^6*(a*d - b*c)^4) + (16*d^5*x^5*(13*a*d - b*c))/(3003*b^4*(a*d - b*c)^4) + (4*d^4*x^4*(143*a^2*d^2 + 3*b^2*c^2 - 26*a*b*c*d))/(3003*b^5*(a*d - b*c)^4)))/(x^6*(a + b*x)^(1/2) + (a^6*(a + b*x)^(1/2))/b^6 + (15*a^2*x^4*(a + b*x)^(1/2))/b^2 + (20*a^3*x^3*(a + b*x)^(1/2))/b^3 + (15*a^4*x^2*(a + b*x)^(1/2))/b^4 + (6*a*x^5*(a + b*x)^(1/2))/b + (6*a^5*x*(a + b*x)^(1/2))/b^5)","B"
1492,0,-1,183,0.000000,"\text{Not used}","int((a + b*x)^(7/2)/(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,x\right)}^{7/2}}{\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(7/2)/(c + d*x)^(1/2), x)","F"
1493,0,-1,148,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(c + d*x)^(1/2), x)","F"
1494,0,-1,113,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(1/2),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{\sqrt{c+d\,x}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(1/2), x)","F"
1495,1,261,73,3.802736,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(1/2),x)","\frac{\frac{\left(2\,a\,d+2\,b\,c\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}+\frac{\left(2\,c\,b^2+2\,a\,d\,b\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{d^3\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}-\frac{8\,\sqrt{a}\,b\,\sqrt{c}\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}{\frac{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}+\frac{b^2}{d^2}-\frac{2\,b\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}{d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}}+\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}{\sqrt{b}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)\,\left(a\,d-b\,c\right)}{\sqrt{b}\,d^{3/2}}","Not used",1,"(((2*a*d + 2*b*c)*((a + b*x)^(1/2) - a^(1/2))^3)/(d^2*((c + d*x)^(1/2) - c^(1/2))^3) + ((2*b^2*c + 2*a*b*d)*((a + b*x)^(1/2) - a^(1/2)))/(d^3*((c + d*x)^(1/2) - c^(1/2))) - (8*a^(1/2)*b*c^(1/2)*((a + b*x)^(1/2) - a^(1/2))^2)/(d^2*((c + d*x)^(1/2) - c^(1/2))^2))/(((a + b*x)^(1/2) - a^(1/2))^4/((c + d*x)^(1/2) - c^(1/2))^4 + b^2/d^2 - (2*b*((a + b*x)^(1/2) - a^(1/2))^2)/(d*((c + d*x)^(1/2) - c^(1/2))^2)) + (2*atanh((d^(1/2)*((a + b*x)^(1/2) - a^(1/2)))/(b^(1/2)*((c + d*x)^(1/2) - c^(1/2))))*(a*d - b*c))/(b^(1/2)*d^(3/2))","B"
1496,1,45,42,0.288393,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{-b\,d}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{\sqrt{-b\,d}}","Not used",1,"-(4*atan((b*((c + d*x)^(1/2) - c^(1/2)))/((-b*d)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(-b*d)^(1/2)","B"
1497,1,26,30,0.732419,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(1/2)),x)","\frac{2\,\sqrt{c+d\,x}}{\left(a\,d-b\,c\right)\,\sqrt{a+b\,x}}","Not used",1,"(2*(c + d*x)^(1/2))/((a*d - b*c)*(a + b*x)^(1/2))","B"
1498,1,71,66,0.894258,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(1/2)),x)","\frac{\left(\frac{4\,d\,x}{3\,{\left(a\,d-b\,c\right)}^2}+\frac{6\,a\,d-2\,b\,c}{3\,b\,{\left(a\,d-b\,c\right)}^2}\right)\,\sqrt{c+d\,x}}{x\,\sqrt{a+b\,x}+\frac{a\,\sqrt{a+b\,x}}{b}}","Not used",1,"(((4*d*x)/(3*(a*d - b*c)^2) + (6*a*d - 2*b*c)/(3*b*(a*d - b*c)^2))*(c + d*x)^(1/2))/(x*(a + b*x)^(1/2) + (a*(a + b*x)^(1/2))/b)","B"
1499,1,133,101,1.005221,"\text{Not used}","int(1/((a + b*x)^(7/2)*(c + d*x)^(1/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{16\,d^2\,x^2}{15\,{\left(a\,d-b\,c\right)}^3}+\frac{30\,a^2\,d^2-20\,a\,b\,c\,d+6\,b^2\,c^2}{15\,b^2\,{\left(a\,d-b\,c\right)}^3}+\frac{8\,d\,x\,\left(5\,a\,d-b\,c\right)}{15\,b\,{\left(a\,d-b\,c\right)}^3}\right)}{x^2\,\sqrt{a+b\,x}+\frac{a^2\,\sqrt{a+b\,x}}{b^2}+\frac{2\,a\,x\,\sqrt{a+b\,x}}{b}}","Not used",1,"((c + d*x)^(1/2)*((16*d^2*x^2)/(15*(a*d - b*c)^3) + (30*a^2*d^2 + 6*b^2*c^2 - 20*a*b*c*d)/(15*b^2*(a*d - b*c)^3) + (8*d*x*(5*a*d - b*c))/(15*b*(a*d - b*c)^3)))/(x^2*(a + b*x)^(1/2) + (a^2*(a + b*x)^(1/2))/b^2 + (2*a*x*(a + b*x)^(1/2))/b)","B"
1500,1,209,136,1.191569,"\text{Not used}","int(1/((a + b*x)^(9/2)*(c + d*x)^(1/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{32\,d^3\,x^3}{35\,{\left(a\,d-b\,c\right)}^4}+\frac{70\,a^3\,d^3-70\,a^2\,b\,c\,d^2+42\,a\,b^2\,c^2\,d-10\,b^3\,c^3}{35\,b^3\,{\left(a\,d-b\,c\right)}^4}+\frac{4\,d\,x\,\left(35\,a^2\,d^2-14\,a\,b\,c\,d+3\,b^2\,c^2\right)}{35\,b^2\,{\left(a\,d-b\,c\right)}^4}+\frac{16\,d^2\,x^2\,\left(7\,a\,d-b\,c\right)}{35\,b\,{\left(a\,d-b\,c\right)}^4}\right)}{x^3\,\sqrt{a+b\,x}+\frac{a^3\,\sqrt{a+b\,x}}{b^3}+\frac{3\,a\,x^2\,\sqrt{a+b\,x}}{b}+\frac{3\,a^2\,x\,\sqrt{a+b\,x}}{b^2}}","Not used",1,"((c + d*x)^(1/2)*((32*d^3*x^3)/(35*(a*d - b*c)^4) + (70*a^3*d^3 - 10*b^3*c^3 + 42*a*b^2*c^2*d - 70*a^2*b*c*d^2)/(35*b^3*(a*d - b*c)^4) + (4*d*x*(35*a^2*d^2 + 3*b^2*c^2 - 14*a*b*c*d))/(35*b^2*(a*d - b*c)^4) + (16*d^2*x^2*(7*a*d - b*c))/(35*b*(a*d - b*c)^4)))/(x^3*(a + b*x)^(1/2) + (a^3*(a + b*x)^(1/2))/b^3 + (3*a*x^2*(a + b*x)^(1/2))/b + (3*a^2*x*(a + b*x)^(1/2))/b^2)","B"
1501,1,303,171,1.369946,"\text{Not used}","int(1/((a + b*x)^(11/2)*(c + d*x)^(1/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{256\,d^4\,x^4}{315\,{\left(a\,d-b\,c\right)}^5}+\frac{630\,a^4\,d^4-840\,a^3\,b\,c\,d^3+756\,a^2\,b^2\,c^2\,d^2-360\,a\,b^3\,c^3\,d+70\,b^4\,c^4}{315\,b^4\,{\left(a\,d-b\,c\right)}^5}+\frac{x\,\left(1680\,a^3\,b\,d^4-1008\,a^2\,b^2\,c\,d^3+432\,a\,b^3\,c^2\,d^2-80\,b^4\,c^3\,d\right)}{315\,b^4\,{\left(a\,d-b\,c\right)}^5}+\frac{128\,d^3\,x^3\,\left(9\,a\,d-b\,c\right)}{315\,b\,{\left(a\,d-b\,c\right)}^5}+\frac{32\,d^2\,x^2\,\left(21\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2\right)}{105\,b^2\,{\left(a\,d-b\,c\right)}^5}\right)}{x^4\,\sqrt{a+b\,x}+\frac{a^4\,\sqrt{a+b\,x}}{b^4}+\frac{6\,a^2\,x^2\,\sqrt{a+b\,x}}{b^2}+\frac{4\,a\,x^3\,\sqrt{a+b\,x}}{b}+\frac{4\,a^3\,x\,\sqrt{a+b\,x}}{b^3}}","Not used",1,"((c + d*x)^(1/2)*((256*d^4*x^4)/(315*(a*d - b*c)^5) + (630*a^4*d^4 + 70*b^4*c^4 + 756*a^2*b^2*c^2*d^2 - 360*a*b^3*c^3*d - 840*a^3*b*c*d^3)/(315*b^4*(a*d - b*c)^5) + (x*(1680*a^3*b*d^4 - 80*b^4*c^3*d + 432*a*b^3*c^2*d^2 - 1008*a^2*b^2*c*d^3))/(315*b^4*(a*d - b*c)^5) + (128*d^3*x^3*(9*a*d - b*c))/(315*b*(a*d - b*c)^5) + (32*d^2*x^2*(21*a^2*d^2 + b^2*c^2 - 6*a*b*c*d))/(105*b^2*(a*d - b*c)^5)))/(x^4*(a + b*x)^(1/2) + (a^4*(a + b*x)^(1/2))/b^4 + (6*a^2*x^2*(a + b*x)^(1/2))/b^2 + (4*a*x^3*(a + b*x)^(1/2))/b + (4*a^3*x*(a + b*x)^(1/2))/b^3)","B"
1502,0,-1,174,0.000000,"\text{Not used}","int((a + b*x)^(7/2)/(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,x\right)}^{7/2}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(7/2)/(c + d*x)^(3/2), x)","F"
1503,0,-1,138,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(c + d*x)^(3/2), x)","F"
1504,0,-1,98,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(3/2),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(3/2), x)","F"
1505,0,-1,66,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(3/2),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(3/2), x)","F"
1506,1,26,30,0.741383,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(3/2)),x)","-\frac{2\,\sqrt{a+b\,x}}{\left(a\,d-b\,c\right)\,\sqrt{c+d\,x}}","Not used",1,"-(2*(a + b*x)^(1/2))/((a*d - b*c)*(c + d*x)^(1/2))","B"
1507,1,71,62,0.858053,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x)","-\frac{\left(\frac{4\,b\,x}{{\left(a\,d-b\,c\right)}^2}+\frac{2\,a\,d+2\,b\,c}{d\,{\left(a\,d-b\,c\right)}^2}\right)\,\sqrt{c+d\,x}}{x\,\sqrt{a+b\,x}+\frac{c\,\sqrt{a+b\,x}}{d}}","Not used",1,"-(((4*b*x)/(a*d - b*c)^2 + (2*a*d + 2*b*c)/(d*(a*d - b*c)^2))*(c + d*x)^(1/2))/(x*(a + b*x)^(1/2) + (c*(a + b*x)^(1/2))/d)","B"
1508,1,141,101,1.064488,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(3/2)),x)","-\frac{\sqrt{c+d\,x}\,\left(\frac{8\,x\,\left(3\,a\,d+b\,c\right)}{3\,{\left(a\,d-b\,c\right)}^3}+\frac{16\,b\,d\,x^2}{3\,{\left(a\,d-b\,c\right)}^3}+\frac{6\,a^2\,d^2+12\,a\,b\,c\,d-2\,b^2\,c^2}{3\,b\,d\,{\left(a\,d-b\,c\right)}^3}\right)}{x^2\,\sqrt{a+b\,x}+\frac{a\,c\,\sqrt{a+b\,x}}{b\,d}+\frac{x\,\left(a\,d+b\,c\right)\,\sqrt{a+b\,x}}{b\,d}}","Not used",1,"-((c + d*x)^(1/2)*((8*x*(3*a*d + b*c))/(3*(a*d - b*c)^3) + (16*b*d*x^2)/(3*(a*d - b*c)^3) + (6*a^2*d^2 - 2*b^2*c^2 + 12*a*b*c*d)/(3*b*d*(a*d - b*c)^3)))/(x^2*(a + b*x)^(1/2) + (a*c*(a + b*x)^(1/2))/(b*d) + (x*(a*d + b*c)*(a + b*x)^(1/2))/(b*d))","B"
1509,1,227,136,1.312043,"\text{Not used}","int(1/((a + b*x)^(7/2)*(c + d*x)^(3/2)),x)","-\frac{\sqrt{c+d\,x}\,\left(\frac{16\,d\,x^2\,\left(5\,a\,d+b\,c\right)}{5\,{\left(a\,d-b\,c\right)}^4}+\frac{2\,a^3\,d^3+6\,a^2\,b\,c\,d^2-2\,a\,b^2\,c^2\,d+\frac{2\,b^3\,c^3}{5}}{b^2\,d\,{\left(a\,d-b\,c\right)}^4}+\frac{32\,b\,d^2\,x^3}{5\,{\left(a\,d-b\,c\right)}^4}+\frac{4\,x\,\left(15\,a^2\,d^2+10\,a\,b\,c\,d-b^2\,c^2\right)}{5\,b\,{\left(a\,d-b\,c\right)}^4}\right)}{x^3\,\sqrt{a+b\,x}+\frac{a^2\,c\,\sqrt{a+b\,x}}{b^2\,d}+\frac{x^2\,\left(2\,a\,d+b\,c\right)\,\sqrt{a+b\,x}}{b\,d}+\frac{a\,x\,\left(a\,d+2\,b\,c\right)\,\sqrt{a+b\,x}}{b^2\,d}}","Not used",1,"-((c + d*x)^(1/2)*((16*d*x^2*(5*a*d + b*c))/(5*(a*d - b*c)^4) + (2*a^3*d^3 + (2*b^3*c^3)/5 - 2*a*b^2*c^2*d + 6*a^2*b*c*d^2)/(b^2*d*(a*d - b*c)^4) + (32*b*d^2*x^3)/(5*(a*d - b*c)^4) + (4*x*(15*a^2*d^2 - b^2*c^2 + 10*a*b*c*d))/(5*b*(a*d - b*c)^4)))/(x^3*(a + b*x)^(1/2) + (a^2*c*(a + b*x)^(1/2))/(b^2*d) + (x^2*(2*a*d + b*c)*(a + b*x)^(1/2))/(b*d) + (a*x*(a*d + 2*b*c)*(a + b*x)^(1/2))/(b^2*d))","B"
1510,1,337,171,1.500062,"\text{Not used}","int(1/((a + b*x)^(9/2)*(c + d*x)^(3/2)),x)","-\frac{\sqrt{c+d\,x}\,\left(\frac{256\,b\,d^3\,x^4}{35\,{\left(a\,d-b\,c\right)}^5}+\frac{128\,d^2\,x^3\,\left(7\,a\,d+b\,c\right)}{35\,{\left(a\,d-b\,c\right)}^5}+\frac{70\,a^4\,d^4+280\,a^3\,b\,c\,d^3-140\,a^2\,b^2\,c^2\,d^2+56\,a\,b^3\,c^3\,d-10\,b^4\,c^4}{35\,b^3\,d\,{\left(a\,d-b\,c\right)}^5}+\frac{x\,\left(560\,a^3\,b\,d^4+560\,a^2\,b^2\,c\,d^3-112\,a\,b^3\,c^2\,d^2+16\,b^4\,c^3\,d\right)}{35\,b^3\,d\,{\left(a\,d-b\,c\right)}^5}+\frac{32\,d\,x^2\,\left(35\,a^2\,d^2+14\,a\,b\,c\,d-b^2\,c^2\right)}{35\,b\,{\left(a\,d-b\,c\right)}^5}\right)}{x^4\,\sqrt{a+b\,x}+\frac{a^3\,c\,\sqrt{a+b\,x}}{b^3\,d}+\frac{x^3\,\left(3\,a\,d+b\,c\right)\,\sqrt{a+b\,x}}{b\,d}+\frac{3\,a\,x^2\,\left(a\,d+b\,c\right)\,\sqrt{a+b\,x}}{b^2\,d}+\frac{a^2\,x\,\left(a\,d+3\,b\,c\right)\,\sqrt{a+b\,x}}{b^3\,d}}","Not used",1,"-((c + d*x)^(1/2)*((256*b*d^3*x^4)/(35*(a*d - b*c)^5) + (128*d^2*x^3*(7*a*d + b*c))/(35*(a*d - b*c)^5) + (70*a^4*d^4 - 10*b^4*c^4 - 140*a^2*b^2*c^2*d^2 + 56*a*b^3*c^3*d + 280*a^3*b*c*d^3)/(35*b^3*d*(a*d - b*c)^5) + (x*(560*a^3*b*d^4 + 16*b^4*c^3*d - 112*a*b^3*c^2*d^2 + 560*a^2*b^2*c*d^3))/(35*b^3*d*(a*d - b*c)^5) + (32*d*x^2*(35*a^2*d^2 - b^2*c^2 + 14*a*b*c*d))/(35*b*(a*d - b*c)^5)))/(x^4*(a + b*x)^(1/2) + (a^3*c*(a + b*x)^(1/2))/(b^3*d) + (x^3*(3*a*d + b*c)*(a + b*x)^(1/2))/(b*d) + (3*a*x^2*(a*d + b*c)*(a + b*x)^(1/2))/(b^2*d) + (a^2*x*(a*d + 3*b*c)*(a + b*x)^(1/2))/(b^3*d))","B"
1511,1,454,206,1.958889,"\text{Not used}","int(1/((a + b*x)^(11/2)*(c + d*x)^(3/2)),x)","-\frac{\sqrt{c+d\,x}\,\left(\frac{126\,a^5\,d^5+630\,a^4\,b\,c\,d^4-420\,a^3\,b^2\,c^2\,d^3+252\,a^2\,b^3\,c^3\,d^2-90\,a\,b^4\,c^4\,d+14\,b^5\,c^5}{63\,b^4\,d\,{\left(a\,d-b\,c\right)}^6}+\frac{512\,b\,d^4\,x^5}{63\,{\left(a\,d-b\,c\right)}^6}+\frac{256\,d^3\,x^4\,\left(9\,a\,d+b\,c\right)}{63\,{\left(a\,d-b\,c\right)}^6}+\frac{x\,\left(1260\,a^4\,b\,d^5+1680\,a^3\,b^2\,c\,d^4-504\,a^2\,b^3\,c^2\,d^3+144\,a\,b^4\,c^3\,d^2-20\,b^5\,c^4\,d\right)}{63\,b^4\,d\,{\left(a\,d-b\,c\right)}^6}+\frac{64\,d^2\,x^3\,\left(63\,a^2\,d^2+18\,a\,b\,c\,d-b^2\,c^2\right)}{63\,b\,{\left(a\,d-b\,c\right)}^6}+\frac{32\,d\,x^2\,\left(105\,a^3\,d^3+63\,a^2\,b\,c\,d^2-9\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{63\,b^2\,{\left(a\,d-b\,c\right)}^6}\right)}{x^5\,\sqrt{a+b\,x}+\frac{a^4\,c\,\sqrt{a+b\,x}}{b^4\,d}+\frac{x^4\,\left(4\,a\,d+b\,c\right)\,\sqrt{a+b\,x}}{b\,d}+\frac{2\,a\,x^3\,\left(3\,a\,d+2\,b\,c\right)\,\sqrt{a+b\,x}}{b^2\,d}+\frac{a^3\,x\,\left(a\,d+4\,b\,c\right)\,\sqrt{a+b\,x}}{b^4\,d}+\frac{2\,a^2\,x^2\,\left(2\,a\,d+3\,b\,c\right)\,\sqrt{a+b\,x}}{b^3\,d}}","Not used",1,"-((c + d*x)^(1/2)*((126*a^5*d^5 + 14*b^5*c^5 + 252*a^2*b^3*c^3*d^2 - 420*a^3*b^2*c^2*d^3 - 90*a*b^4*c^4*d + 630*a^4*b*c*d^4)/(63*b^4*d*(a*d - b*c)^6) + (512*b*d^4*x^5)/(63*(a*d - b*c)^6) + (256*d^3*x^4*(9*a*d + b*c))/(63*(a*d - b*c)^6) + (x*(1260*a^4*b*d^5 - 20*b^5*c^4*d + 144*a*b^4*c^3*d^2 + 1680*a^3*b^2*c*d^4 - 504*a^2*b^3*c^2*d^3))/(63*b^4*d*(a*d - b*c)^6) + (64*d^2*x^3*(63*a^2*d^2 - b^2*c^2 + 18*a*b*c*d))/(63*b*(a*d - b*c)^6) + (32*d*x^2*(105*a^3*d^3 + b^3*c^3 - 9*a*b^2*c^2*d + 63*a^2*b*c*d^2))/(63*b^2*(a*d - b*c)^6)))/(x^5*(a + b*x)^(1/2) + (a^4*c*(a + b*x)^(1/2))/(b^4*d) + (x^4*(4*a*d + b*c)*(a + b*x)^(1/2))/(b*d) + (2*a*x^3*(3*a*d + 2*b*c)*(a + b*x)^(1/2))/(b^2*d) + (a^3*x*(a*d + 4*b*c)*(a + b*x)^(1/2))/(b^4*d) + (2*a^2*x^2*(2*a*d + 3*b*c)*(a + b*x)^(1/2))/(b^3*d))","B"
1512,0,-1,204,0.000000,"\text{Not used}","int((a + b*x)^(9/2)/(c + d*x)^(5/2),x)","\int \frac{{\left(a+b\,x\right)}^{9/2}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(9/2)/(c + d*x)^(5/2), x)","F"
1513,0,-1,170,0.000000,"\text{Not used}","int((a + b*x)^(7/2)/(c + d*x)^(5/2),x)","\int \frac{{\left(a+b\,x\right)}^{7/2}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(7/2)/(c + d*x)^(5/2), x)","F"
1514,0,-1,128,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(c + d*x)^(5/2),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(c + d*x)^(5/2), x)","F"
1515,0,-1,92,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(5/2),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(5/2), x)","F"
1516,1,130,32,0.560648,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(5/2),x)","-\frac{\left(\frac{2\,a\,\sqrt{a+b\,x}}{3\,a\,d^3-3\,b\,c\,d^2}+\frac{2\,b\,x\,\sqrt{a+b\,x}}{3\,a\,d^3-3\,b\,c\,d^2}\right)\,\sqrt{c+d\,x}}{x^2-\frac{3\,b\,c^3-3\,a\,c^2\,d}{3\,a\,d^3-3\,b\,c\,d^2}+\frac{6\,c\,d\,x\,\left(a\,d-b\,c\right)}{3\,a\,d^3-3\,b\,c\,d^2}}","Not used",1,"-(((2*a*(a + b*x)^(1/2))/(3*a*d^3 - 3*b*c*d^2) + (2*b*x*(a + b*x)^(1/2))/(3*a*d^3 - 3*b*c*d^2))*(c + d*x)^(1/2))/(x^2 - (3*b*c^3 - 3*a*c^2*d)/(3*a*d^3 - 3*b*c*d^2) + (6*c*d*x*(a*d - b*c))/(3*a*d^3 - 3*b*c*d^2))","B"
1517,1,127,66,0.897345,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(5/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{x\,\left(6\,c\,b^2+2\,a\,d\,b\right)}{3\,d^2\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,a^2\,d-6\,a\,b\,c}{3\,d^2\,{\left(a\,d-b\,c\right)}^2}+\frac{4\,b^2\,x^2}{3\,d\,{\left(a\,d-b\,c\right)}^2}\right)}{x^2\,\sqrt{a+b\,x}+\frac{c^2\,\sqrt{a+b\,x}}{d^2}+\frac{2\,c\,x\,\sqrt{a+b\,x}}{d}}","Not used",1,"((c + d*x)^(1/2)*((x*(6*b^2*c + 2*a*b*d))/(3*d^2*(a*d - b*c)^2) - (2*a^2*d - 6*a*b*c)/(3*d^2*(a*d - b*c)^2) + (4*b^2*x^2)/(3*d*(a*d - b*c)^2)))/(x^2*(a + b*x)^(1/2) + (c^2*(a + b*x)^(1/2))/d^2 + (2*c*x*(a + b*x)^(1/2))/d)","B"
1518,1,132,98,1.029897,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{16\,b^2\,x^2}{3\,{\left(a\,d-b\,c\right)}^3}+\frac{-2\,a^2\,d^2+12\,a\,b\,c\,d+6\,b^2\,c^2}{3\,d^2\,{\left(a\,d-b\,c\right)}^3}+\frac{8\,b\,x\,\left(a\,d+3\,b\,c\right)}{3\,d\,{\left(a\,d-b\,c\right)}^3}\right)}{x^2\,\sqrt{a+b\,x}+\frac{c^2\,\sqrt{a+b\,x}}{d^2}+\frac{2\,c\,x\,\sqrt{a+b\,x}}{d}}","Not used",1,"((c + d*x)^(1/2)*((16*b^2*x^2)/(3*(a*d - b*c)^3) + (6*b^2*c^2 - 2*a^2*d^2 + 12*a*b*c*d)/(3*d^2*(a*d - b*c)^3) + (8*b*x*(a*d + 3*b*c))/(3*d*(a*d - b*c)^3)))/(x^2*(a + b*x)^(1/2) + (c^2*(a + b*x)^(1/2))/d^2 + (2*c*x*(a + b*x)^(1/2))/d)","B"
1519,1,224,135,1.288770,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{16\,b\,x^2\,\left(a\,d+b\,c\right)}{{\left(a\,d-b\,c\right)}^4}-\frac{2\,a^3\,d^3-18\,a^2\,b\,c\,d^2-18\,a\,b^2\,c^2\,d+2\,b^3\,c^3}{3\,b\,d^2\,{\left(a\,d-b\,c\right)}^4}+\frac{32\,b^2\,d\,x^3}{3\,{\left(a\,d-b\,c\right)}^4}+\frac{4\,x\,\left(a^2\,d^2+6\,a\,b\,c\,d+b^2\,c^2\right)}{d\,{\left(a\,d-b\,c\right)}^4}\right)}{x^3\,\sqrt{a+b\,x}+\frac{a\,c^2\,\sqrt{a+b\,x}}{b\,d^2}+\frac{x^2\,\left(a\,d+2\,b\,c\right)\,\sqrt{a+b\,x}}{b\,d}+\frac{c\,x\,\left(2\,a\,d+b\,c\right)\,\sqrt{a+b\,x}}{b\,d^2}}","Not used",1,"((c + d*x)^(1/2)*((16*b*x^2*(a*d + b*c))/(a*d - b*c)^4 - (2*a^3*d^3 + 2*b^3*c^3 - 18*a*b^2*c^2*d - 18*a^2*b*c*d^2)/(3*b*d^2*(a*d - b*c)^4) + (32*b^2*d*x^3)/(3*(a*d - b*c)^4) + (4*x*(a^2*d^2 + b^2*c^2 + 6*a*b*c*d))/(d*(a*d - b*c)^4)))/(x^3*(a + b*x)^(1/2) + (a*c^2*(a + b*x)^(1/2))/(b*d^2) + (x^2*(a*d + 2*b*c)*(a + b*x)^(1/2))/(b*d) + (c*x*(2*a*d + b*c)*(a + b*x)^(1/2))/(b*d^2))","B"
1520,1,346,172,1.531202,"\text{Not used}","int(1/((a + b*x)^(7/2)*(c + d*x)^(5/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{32\,x^2\,\left(5\,a^2\,d^2+10\,a\,b\,c\,d+b^2\,c^2\right)}{5\,{\left(a\,d-b\,c\right)}^5}+\frac{256\,b^2\,d^2\,x^4}{15\,{\left(a\,d-b\,c\right)}^5}+\frac{-10\,a^4\,d^4+120\,a^3\,b\,c\,d^3+180\,a^2\,b^2\,c^2\,d^2-40\,a\,b^3\,c^3\,d+6\,b^4\,c^4}{15\,b^2\,d^2\,{\left(a\,d-b\,c\right)}^5}+\frac{x\,\left(80\,a^3\,b\,d^4+720\,a^2\,b^2\,c\,d^3+240\,a\,b^3\,c^2\,d^2-16\,b^4\,c^3\,d\right)}{15\,b^2\,d^2\,{\left(a\,d-b\,c\right)}^5}+\frac{128\,b\,d\,x^3\,\left(5\,a\,d+3\,b\,c\right)}{15\,{\left(a\,d-b\,c\right)}^5}\right)}{x^4\,\sqrt{a+b\,x}+\frac{x^2\,\sqrt{a+b\,x}\,\left(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{b^2\,d^2}+\frac{2\,x^3\,\left(a\,d+b\,c\right)\,\sqrt{a+b\,x}}{b\,d}+\frac{a^2\,c^2\,\sqrt{a+b\,x}}{b^2\,d^2}+\frac{2\,a\,c\,x\,\left(a\,d+b\,c\right)\,\sqrt{a+b\,x}}{b^2\,d^2}}","Not used",1,"((c + d*x)^(1/2)*((32*x^2*(5*a^2*d^2 + b^2*c^2 + 10*a*b*c*d))/(5*(a*d - b*c)^5) + (256*b^2*d^2*x^4)/(15*(a*d - b*c)^5) + (6*b^4*c^4 - 10*a^4*d^4 + 180*a^2*b^2*c^2*d^2 - 40*a*b^3*c^3*d + 120*a^3*b*c*d^3)/(15*b^2*d^2*(a*d - b*c)^5) + (x*(80*a^3*b*d^4 - 16*b^4*c^3*d + 240*a*b^3*c^2*d^2 + 720*a^2*b^2*c*d^3))/(15*b^2*d^2*(a*d - b*c)^5) + (128*b*d*x^3*(5*a*d + 3*b*c))/(15*(a*d - b*c)^5)))/(x^4*(a + b*x)^(1/2) + (x^2*(a + b*x)^(1/2)*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(b^2*d^2) + (2*x^3*(a*d + b*c)*(a + b*x)^(1/2))/(b*d) + (a^2*c^2*(a + b*x)^(1/2))/(b^2*d^2) + (2*a*c*x*(a*d + b*c)*(a + b*x)^(1/2))/(b^2*d^2))","B"
1521,1,478,207,1.908202,"\text{Not used}","int(1/((a + b*x)^(9/2)*(c + d*x)^(5/2)),x)","\frac{\sqrt{c+d\,x}\,\left(\frac{32\,x^2\,\left(35\,a^3\,d^3+105\,a^2\,b\,c\,d^2+21\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{21\,b\,{\left(a\,d-b\,c\right)}^6}-\frac{14\,a^5\,d^5-210\,a^4\,b\,c\,d^4-420\,a^3\,b^2\,c^2\,d^3+140\,a^2\,b^3\,c^3\,d^2-42\,a\,b^4\,c^4\,d+6\,b^5\,c^5}{21\,b^3\,d^2\,{\left(a\,d-b\,c\right)}^6}+\frac{64\,d\,x^3\,\left(35\,a^2\,d^2+42\,a\,b\,c\,d+3\,b^2\,c^2\right)}{21\,{\left(a\,d-b\,c\right)}^6}+\frac{512\,b^2\,d^3\,x^5}{21\,{\left(a\,d-b\,c\right)}^6}+\frac{256\,b\,d^2\,x^4\,\left(7\,a\,d+3\,b\,c\right)}{21\,{\left(a\,d-b\,c\right)}^6}+\frac{x\,\left(140\,a^4\,b\,d^5+1680\,a^3\,b^2\,c\,d^4+840\,a^2\,b^3\,c^2\,d^3-112\,a\,b^4\,c^3\,d^2+12\,b^5\,c^4\,d\right)}{21\,b^3\,d^2\,{\left(a\,d-b\,c\right)}^6}\right)}{x^5\,\sqrt{a+b\,x}+\frac{x^3\,\sqrt{a+b\,x}\,\left(3\,a^2\,d^2+6\,a\,b\,c\,d+b^2\,c^2\right)}{b^2\,d^2}+\frac{x^4\,\left(3\,a\,d+2\,b\,c\right)\,\sqrt{a+b\,x}}{b\,d}+\frac{a^3\,c^2\,\sqrt{a+b\,x}}{b^3\,d^2}+\frac{a\,x^2\,\sqrt{a+b\,x}\,\left(a^2\,d^2+6\,a\,b\,c\,d+3\,b^2\,c^2\right)}{b^3\,d^2}+\frac{a^2\,c\,x\,\left(2\,a\,d+3\,b\,c\right)\,\sqrt{a+b\,x}}{b^3\,d^2}}","Not used",1,"((c + d*x)^(1/2)*((32*x^2*(35*a^3*d^3 - b^3*c^3 + 21*a*b^2*c^2*d + 105*a^2*b*c*d^2))/(21*b*(a*d - b*c)^6) - (14*a^5*d^5 + 6*b^5*c^5 + 140*a^2*b^3*c^3*d^2 - 420*a^3*b^2*c^2*d^3 - 42*a*b^4*c^4*d - 210*a^4*b*c*d^4)/(21*b^3*d^2*(a*d - b*c)^6) + (64*d*x^3*(35*a^2*d^2 + 3*b^2*c^2 + 42*a*b*c*d))/(21*(a*d - b*c)^6) + (512*b^2*d^3*x^5)/(21*(a*d - b*c)^6) + (256*b*d^2*x^4*(7*a*d + 3*b*c))/(21*(a*d - b*c)^6) + (x*(140*a^4*b*d^5 + 12*b^5*c^4*d - 112*a*b^4*c^3*d^2 + 1680*a^3*b^2*c*d^4 + 840*a^2*b^3*c^2*d^3))/(21*b^3*d^2*(a*d - b*c)^6)))/(x^5*(a + b*x)^(1/2) + (x^3*(a + b*x)^(1/2)*(3*a^2*d^2 + b^2*c^2 + 6*a*b*c*d))/(b^2*d^2) + (x^4*(3*a*d + 2*b*c)*(a + b*x)^(1/2))/(b*d) + (a^3*c^2*(a + b*x)^(1/2))/(b^3*d^2) + (a*x^2*(a + b*x)^(1/2)*(a^2*d^2 + 3*b^2*c^2 + 6*a*b*c*d))/(b^3*d^2) + (a^2*c*x*(2*a*d + 3*b*c)*(a + b*x)^(1/2))/(b^3*d^2))","B"
1522,1,50,19,0.308260,"\text{Not used}","int(1/((a + b*x)^(1/2)*(a + b*x + 4)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{a+4}-\sqrt{a+b\,x+4}\right)}{\sqrt{-b^2}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*((a + 4)^(1/2) - (a + b*x + 4)^(1/2)))/((-b^2)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(-b^2)^(1/2)","B"
1523,1,47,19,0.339216,"\text{Not used}","int(1/((b*x + 2)^(1/2)*(b*x + 6)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{6}-\sqrt{b\,x+6}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*(6^(1/2) - (b*x + 6)^(1/2)))/((2^(1/2) - (b*x + 2)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1524,1,43,19,0.325784,"\text{Not used}","int(1/((b*x + 1)^(1/2)*(b*x + 5)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{5}-\sqrt{b\,x+5}\right)}{\left(\sqrt{b\,x+1}-1\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*(5^(1/2) - (b*x + 5)^(1/2)))/(((b*x + 1)^(1/2) - 1)*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1525,1,33,17,0.309270,"\text{Not used}","int(1/((b*x)^(1/2)*(b*x + 4)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{b\,x+4}-2\right)}{\sqrt{b\,x}\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*((b*x + 4)^(1/2) - 2))/((b*x)^(1/2)*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1526,1,44,19,0.317963,"\text{Not used}","int(1/((b*x - 1)^(1/2)*(b*x + 3)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{b\,x-1}-\mathrm{i}\right)}{\left(\sqrt{3}-\sqrt{b\,x+3}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*((b*x - 1)^(1/2) - 1i))/((3^(1/2) - (b*x + 3)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1527,1,50,11,0.303962,"\text{Not used}","int(1/((b*x - 2)^(1/2)*(b*x + 2)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(-\sqrt{b\,x-2}+\sqrt{2}\,1{}\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*(2^(1/2)*1i - (b*x - 2)^(1/2)))/((2^(1/2) - (b*x + 2)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1528,1,46,19,0.292098,"\text{Not used}","int(1/((b*x + 1)^(1/2)*(b*x - 3)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(-\sqrt{b\,x-3}+\sqrt{3}\,1{}\mathrm{i}\right)}{\left(\sqrt{b\,x+1}-1\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*(3^(1/2)*1i - (b*x - 3)^(1/2)))/(((b*x + 1)^(1/2) - 1)*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1529,1,47,15,0.292683,"\text{Not used}","int(1/((b*x + 2)^(1/2)*(b*x + 3)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{3}-\sqrt{b\,x+3}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*(3^(1/2) - (b*x + 3)^(1/2)))/((2^(1/2) - (b*x + 2)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1530,1,10,10,0.256782,"\text{Not used}","int(1/(b*x + 2),x)","\frac{\ln\left(b\,x+2\right)}{b}","Not used",1,"log(b*x + 2)/b","B"
1531,1,43,15,0.286289,"\text{Not used}","int(1/((b*x + 1)^(1/2)*(b*x + 2)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{2}-\sqrt{b\,x+2}\right)}{\left(\sqrt{b\,x+1}-1\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*(2^(1/2) - (b*x + 2)^(1/2)))/(((b*x + 1)^(1/2) - 1)*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1532,1,37,19,0.279796,"\text{Not used}","int(1/((b*x)^(1/2)*(b*x + 2)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{2}-\sqrt{b\,x+2}\right)}{\sqrt{b\,x}\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*(2^(1/2) - (b*x + 2)^(1/2)))/((b*x)^(1/2)*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1533,1,44,21,0.286208,"\text{Not used}","int(1/((b*x - 1)^(1/2)*(b*x + 2)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{b\,x-1}-\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*((b*x - 1)^(1/2) - 1i))/((2^(1/2) - (b*x + 2)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1534,1,50,11,0.002219,"\text{Not used}","int(1/((b*x - 2)^(1/2)*(b*x + 2)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(-\sqrt{b\,x-2}+\sqrt{2}\,1{}\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*(2^(1/2)*1i - (b*x - 2)^(1/2)))/((2^(1/2) - (b*x + 2)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1535,1,50,21,0.283378,"\text{Not used}","int(1/((b*x + 2)^(1/2)*(b*x - 3)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(-\sqrt{b\,x-3}+\sqrt{3}\,1{}\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*(3^(1/2)*1i - (b*x - 3)^(1/2)))/((2^(1/2) - (b*x + 2)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1536,1,44,16,0.083736,"\text{Not used}","int(1/((b*x + 2)^(1/2)*(3 - b*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{3}-\sqrt{3-b\,x}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{b^2}}\right)}{\sqrt{b^2}}","Not used",1,"-(4*atan((b*(3^(1/2) - (3 - b*x)^(1/2)))/((2^(1/2) - (b*x + 2)^(1/2))*(b^2)^(1/2))))/(b^2)^(1/2)","B"
1537,1,44,11,0.078068,"\text{Not used}","int(1/((2 - b*x)^(1/2)*(b*x + 2)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{2}-\sqrt{2-b\,x}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{b^2}}\right)}{\sqrt{b^2}}","Not used",1,"-(4*atan((b*(2^(1/2) - (2 - b*x)^(1/2)))/((2^(1/2) - (b*x + 2)^(1/2))*(b^2)^(1/2))))/(b^2)^(1/2)","B"
1538,1,40,16,0.320176,"\text{Not used}","int(1/((1 - b*x)^(1/2)*(b*x + 2)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{2}-\sqrt{b\,x+2}\right)}{\left(\sqrt{1-b\,x}-1\right)\,\sqrt{b^2}}\right)}{\sqrt{b^2}}","Not used",1,"-(4*atan((b*(2^(1/2) - (b*x + 2)^(1/2)))/(((1 - b*x)^(1/2) - 1)*(b^2)^(1/2))))/(b^2)^(1/2)","B"
1539,1,34,10,0.292729,"\text{Not used}","int(1/((-b*x)^(1/2)*(b*x + 2)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{2}-\sqrt{b\,x+2}\right)}{\sqrt{-b\,x}\,\sqrt{b^2}}\right)}{\sqrt{b^2}}","Not used",1,"-(4*atan((b*(2^(1/2) - (b*x + 2)^(1/2)))/((-b*x)^(1/2)*(b^2)^(1/2))))/(b^2)^(1/2)","B"
1540,1,41,11,0.303035,"\text{Not used}","int(1/((- b*x - 1)^(1/2)*(b*x + 2)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{-b\,x-1}-\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{b^2}}\right)}{\sqrt{b^2}}","Not used",1,"(4*atan((b*((- b*x - 1)^(1/2) - 1i))/((2^(1/2) - (b*x + 2)^(1/2))*(b^2)^(1/2))))/(b^2)^(1/2)","B"
1541,1,47,29,0.068903,"\text{Not used}","int(1/((b*x + 2)^(1/2)*(- b*x - 2)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(-\sqrt{-b\,x-2}+\sqrt{2}\,1{}\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{b^2}}\right)}{\sqrt{b^2}}","Not used",1,"-(4*atan((b*(2^(1/2)*1i - (- b*x - 2)^(1/2)))/((2^(1/2) - (b*x + 2)^(1/2))*(b^2)^(1/2))))/(b^2)^(1/2)","B"
1542,1,47,26,0.296736,"\text{Not used}","int(1/((b*x + 2)^(1/2)*(- b*x - 3)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(-\sqrt{-b\,x-3}+\sqrt{3}\,1{}\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{b\,x+2}\right)\,\sqrt{b^2}}\right)}{\sqrt{b^2}}","Not used",1,"-(4*atan((b*(3^(1/2)*1i - (- b*x - 3)^(1/2)))/((2^(1/2) - (b*x + 2)^(1/2))*(b^2)^(1/2))))/(b^2)^(1/2)","B"
1543,1,49,16,0.312099,"\text{Not used}","int(1/((2 - b*x)^(1/2)*(3 - b*x)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{3}-\sqrt{3-b\,x}\right)}{\left(\sqrt{2}-\sqrt{2-b\,x}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*(3^(1/2) - (3 - b*x)^(1/2)))/((2^(1/2) - (2 - b*x)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1544,1,11,12,0.033687,"\text{Not used}","int(-1/(b*x - 2),x)","-\frac{\ln\left(b\,x-2\right)}{b}","Not used",1,"-log(b*x - 2)/b","B"
1545,1,45,16,0.311231,"\text{Not used}","int(1/((1 - b*x)^(1/2)*(2 - b*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{2}-\sqrt{2-b\,x}\right)}{\left(\sqrt{1-b\,x}-1\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*(2^(1/2) - (2 - b*x)^(1/2)))/(((1 - b*x)^(1/2) - 1)*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1546,1,39,20,0.282343,"\text{Not used}","int(1/((-b*x)^(1/2)*(2 - b*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{2}-\sqrt{2-b\,x}\right)}{\sqrt{-b\,x}\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*(2^(1/2) - (2 - b*x)^(1/2)))/((-b*x)^(1/2)*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1547,1,46,22,0.284536,"\text{Not used}","int(1/((- b*x - 1)^(1/2)*(2 - b*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{-b\,x-1}-\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{2-b\,x}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*((- b*x - 1)^(1/2) - 1i))/((2^(1/2) - (2 - b*x)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1548,1,52,12,0.294377,"\text{Not used}","int(1/((2 - b*x)^(1/2)*(- b*x - 2)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(-\sqrt{-b\,x-2}+\sqrt{2}\,1{}\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{2-b\,x}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*(2^(1/2)*1i - (- b*x - 2)^(1/2)))/((2^(1/2) - (2 - b*x)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1549,1,52,22,0.292030,"\text{Not used}","int(1/((2 - b*x)^(1/2)*(- b*x - 3)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(\frac{b\,\left(-\sqrt{-b\,x-3}+\sqrt{3}\,1{}\mathrm{i}\right)}{\left(\sqrt{2}-\sqrt{2-b\,x}\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"(4*atan((b*(3^(1/2)*1i - (- b*x - 3)^(1/2)))/((2^(1/2) - (2 - b*x)^(1/2))*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1550,1,40,11,0.324011,"\text{Not used}","int(1/((b*x - 4)^(1/2)*(b*x + 4)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{b\,x-4}-2{}\mathrm{i}\right)}{\left(\sqrt{b\,x+4}-2\right)\,\sqrt{-b^2}}\right)}{\sqrt{-b^2}}","Not used",1,"-(4*atan((b*((b*x - 4)^(1/2) - 2i))/(((b*x + 4)^(1/2) - 2)*(-b^2)^(1/2))))/(-b^2)^(1/2)","B"
1551,1,66,43,0.495445,"\text{Not used}","int(1/((b*x - (b - b*c)/d)^(1/2)*(c + d*x)^(1/2)),x)","\frac{4\,\mathrm{atan}\left(-\frac{d\,\left(\sqrt{b\,x-\frac{b-b\,c}{d}}-\sqrt{-\frac{b-b\,c}{d}}\right)}{\sqrt{-b\,d}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{-b\,d}}","Not used",1,"(4*atan(-(d*((b*x - (b - b*c)/d)^(1/2) - (-(b - b*c)/d)^(1/2)))/((-b*d)^(1/2)*((c + d*x)^(1/2) - c^(1/2)))))/(-b*d)^(1/2)","B"
1552,1,30,22,0.439240,"\text{Not used}","int(1/(x^(1/2)*(2*x - 3)^(1/2)),x)","-2\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\left(-\sqrt{2\,x-3}+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,\sqrt{x}}\right)","Not used",1,"-2*2^(1/2)*atanh((2^(1/2)*(3^(1/2)*1i - (2*x - 3)^(1/2)))/(2*x^(1/2)))","B"
1553,1,43,26,0.122196,"\text{Not used}","int(1/((2*x - 3)^(1/2)*(3*x + 2)^(1/2)),x)","\frac{2\,\sqrt{6}\,\mathrm{atanh}\left(\frac{\sqrt{6}\,\left(-\sqrt{2\,x-3}+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,\left(\sqrt{2}-\sqrt{3\,x+2}\right)}\right)}{3}","Not used",1,"(2*6^(1/2)*atanh((6^(1/2)*(3^(1/2)*1i - (2*x - 3)^(1/2)))/(2*(2^(1/2) - (3*x + 2)^(1/2)))))/3","B"
1554,1,63,42,0.514677,"\text{Not used}","int(1/(((b - b*c)/d + b*x)^(1/2)*(c - d*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(-\frac{d\,\left(\sqrt{\frac{b-b\,c}{d}+b\,x}-\sqrt{\frac{b-b\,c}{d}}\right)}{\sqrt{b\,d}\,\left(\sqrt{c-d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b\,d}}","Not used",1,"-(4*atan(-(d*(((b - b*c)/d + b*x)^(1/2) - ((b - b*c)/d)^(1/2)))/((b*d)^(1/2)*((c - d*x)^(1/2) - c^(1/2)))))/(b*d)^(1/2)","B"
1555,1,16,10,0.289816,"\text{Not used}","int(1/(x^(1/2)*(4 - x)^(1/2)),x)","-4\,\mathrm{atan}\left(\frac{\sqrt{4-x}-2}{\sqrt{x}}\right)","Not used",1,"-4*atan(((4 - x)^(1/2) - 2)/x^(1/2))","B"
1556,1,27,20,0.295074,"\text{Not used}","int(1/(x^(1/2)*(3 - 2*x)^(1/2)),x)","2\,\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\left(\sqrt{3}-\sqrt{3-2\,x}\right)}{2\,\sqrt{x}}\right)","Not used",1,"2*2^(1/2)*atan((2^(1/2)*(3^(1/2) - (3 - 2*x)^(1/2)))/(2*x^(1/2)))","B"
1557,1,40,26,0.079758,"\text{Not used}","int(1/((3 - 2*x)^(1/2)*(5*x + 3)^(1/2)),x)","-\frac{2\,\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,\left(\sqrt{3}-\sqrt{3-2\,x}\right)}{2\,\left(\sqrt{3}-\sqrt{5\,x+3}\right)}\right)}{5}","Not used",1,"-(2*10^(1/2)*atan((10^(1/2)*(3^(1/2) - (3 - 2*x)^(1/2)))/(2*(3^(1/2) - (5*x + 3)^(1/2)))))/5","B"
1558,1,44,43,0.343150,"\text{Not used}","int(1/((a - b*x)^(1/2)*(c + d*x)^(1/2)),x)","-\frac{4\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{a-b\,x}-\sqrt{a}\right)}{\sqrt{b\,d}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{b\,d}}","Not used",1,"-(4*atan((d*((a - b*x)^(1/2) - a^(1/2)))/((b*d)^(1/2)*((c + d*x)^(1/2) - c^(1/2)))))/(b*d)^(1/2)","B"
1559,0,-1,457,0.000000,"\text{Not used}","int((a + b*x)^(3/2)*(c + d*x)^(1/3),x)","\int {\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{1/3} \,d x","Not used",1,"int((a + b*x)^(3/2)*(c + d*x)^(1/3), x)","F"
1560,0,-1,419,0.000000,"\text{Not used}","int((a + b*x)^(1/2)*(c + d*x)^(1/3),x)","\int \sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{1/3} \,d x","Not used",1,"int((a + b*x)^(1/2)*(c + d*x)^(1/3), x)","F"
1561,0,-1,381,0.000000,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(1/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/3}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(1/3)/(a + b*x)^(1/2), x)","F"
1562,0,-1,366,0.000000,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(3/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/3}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(1/3)/(a + b*x)^(3/2), x)","F"
1563,0,-1,417,0.000000,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(5/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/3}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(1/3)/(a + b*x)^(5/2), x)","F"
1564,0,-1,457,0.000000,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(7/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/3}}{{\left(a+b\,x\right)}^{7/2}} \,d x","Not used",1,"int((c + d*x)^(1/3)/(a + b*x)^(7/2), x)","F"
1565,0,-1,839,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(1/3),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(1/3), x)","F"
1566,0,-1,804,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(1/3),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(1/3), x)","F"
1567,0,-1,762,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(1/3)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(1/3)), x)","F"
1568,0,-1,796,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(1/3)), x)","F"
1569,0,-1,842,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(1/3)), x)","F"
1570,0,-1,416,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(2/3),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(2/3), x)","F"
1571,0,-1,381,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(2/3),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(2/3), x)","F"
1572,0,-1,345,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(2/3)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(2/3)), x)","F"
1573,0,-1,383,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(2/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(2/3)), x)","F"
1574,0,-1,421,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(2/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(2/3)), x)","F"
1575,0,-1,219,0.000000,"\text{Not used}","int((a + b*x)^(2/3)*(c + d*x)^(1/3),x)","\int {\left(a+b\,x\right)}^{2/3}\,{\left(c+d\,x\right)}^{1/3} \,d x","Not used",1,"int((a + b*x)^(2/3)*(c + d*x)^(1/3), x)","F"
1576,0,-1,172,0.000000,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(1/3),x)","\int \frac{{\left(c+d\,x\right)}^{1/3}}{{\left(a+b\,x\right)}^{1/3}} \,d x","Not used",1,"int((c + d*x)^(1/3)/(a + b*x)^(1/3), x)","F"
1577,0,-1,149,0.000000,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(4/3),x)","\int \frac{{\left(c+d\,x\right)}^{1/3}}{{\left(a+b\,x\right)}^{4/3}} \,d x","Not used",1,"int((c + d*x)^(1/3)/(a + b*x)^(4/3), x)","F"
1578,1,92,32,0.712644,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(7/3),x)","-\frac{\left(\frac{3\,c}{4\,b^2\,c-4\,a\,b\,d}+\frac{3\,d\,x}{4\,b^2\,c-4\,a\,b\,d}\right)\,{\left(c+d\,x\right)}^{1/3}}{x\,{\left(a+b\,x\right)}^{1/3}-\frac{\left(4\,a^2\,d-4\,a\,b\,c\right)\,{\left(a+b\,x\right)}^{1/3}}{4\,b^2\,c-4\,a\,b\,d}}","Not used",1,"-(((3*c)/(4*b^2*c - 4*a*b*d) + (3*d*x)/(4*b^2*c - 4*a*b*d))*(c + d*x)^(1/3))/(x*(a + b*x)^(1/3) - ((4*a^2*d - 4*a*b*c)*(a + b*x)^(1/3))/(4*b^2*c - 4*a*b*d))","B"
1579,1,127,66,1.031747,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(10/3),x)","\frac{{\left(c+d\,x\right)}^{1/3}\,\left(\frac{x\,\left(21\,a\,d^2-3\,b\,c\,d\right)}{28\,b^2\,{\left(a\,d-b\,c\right)}^2}-\frac{12\,b\,c^2-21\,a\,c\,d}{28\,b^2\,{\left(a\,d-b\,c\right)}^2}+\frac{9\,d^2\,x^2}{28\,b\,{\left(a\,d-b\,c\right)}^2}\right)}{x^2\,{\left(a+b\,x\right)}^{1/3}+\frac{a^2\,{\left(a+b\,x\right)}^{1/3}}{b^2}+\frac{2\,a\,x\,{\left(a+b\,x\right)}^{1/3}}{b}}","Not used",1,"((c + d*x)^(1/3)*((x*(21*a*d^2 - 3*b*c*d))/(28*b^2*(a*d - b*c)^2) - (12*b*c^2 - 21*a*c*d)/(28*b^2*(a*d - b*c)^2) + (9*d^2*x^2)/(28*b*(a*d - b*c)^2)))/(x^2*(a + b*x)^(1/3) + (a^2*(a + b*x)^(1/3))/b^2 + (2*a*x*(a + b*x)^(1/3))/b)","B"
1580,1,203,101,1.017367,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(13/3),x)","\frac{{\left(c+d\,x\right)}^{1/3}\,\left(\frac{105\,a^2\,c\,d^2-120\,a\,b\,c^2\,d+42\,b^2\,c^3}{140\,b^3\,{\left(a\,d-b\,c\right)}^3}+\frac{x\,\left(105\,a^2\,d^3-30\,a\,b\,c\,d^2+6\,b^2\,c^2\,d\right)}{140\,b^3\,{\left(a\,d-b\,c\right)}^3}+\frac{27\,d^3\,x^3}{140\,b\,{\left(a\,d-b\,c\right)}^3}+\frac{9\,d^2\,x^2\,\left(10\,a\,d-b\,c\right)}{140\,b^2\,{\left(a\,d-b\,c\right)}^3}\right)}{x^3\,{\left(a+b\,x\right)}^{1/3}+\frac{a^3\,{\left(a+b\,x\right)}^{1/3}}{b^3}+\frac{3\,a\,x^2\,{\left(a+b\,x\right)}^{1/3}}{b}+\frac{3\,a^2\,x\,{\left(a+b\,x\right)}^{1/3}}{b^2}}","Not used",1,"((c + d*x)^(1/3)*((42*b^2*c^3 + 105*a^2*c*d^2 - 120*a*b*c^2*d)/(140*b^3*(a*d - b*c)^3) + (x*(105*a^2*d^3 + 6*b^2*c^2*d - 30*a*b*c*d^2))/(140*b^3*(a*d - b*c)^3) + (27*d^3*x^3)/(140*b*(a*d - b*c)^3) + (9*d^2*x^2*(10*a*d - b*c))/(140*b^2*(a*d - b*c)^3)))/(x^3*(a + b*x)^(1/3) + (a^3*(a + b*x)^(1/3))/b^3 + (3*a*x^2*(a + b*x)^(1/3))/b + (3*a^2*x*(a + b*x)^(1/3))/b^2)","B"
1581,1,293,136,1.151775,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(16/3),x)","\frac{{\left(c+d\,x\right)}^{1/3}\,\left(\frac{243\,d^4\,x^4}{1820\,b\,{\left(a\,d-b\,c\right)}^4}-\frac{-1365\,a^3\,c\,d^3+2340\,a^2\,b\,c^2\,d^2-1638\,a\,b^2\,c^3\,d+420\,b^3\,c^4}{1820\,b^4\,{\left(a\,d-b\,c\right)}^4}+\frac{x\,\left(1365\,a^3\,d^4-585\,a^2\,b\,c\,d^3+234\,a\,b^2\,c^2\,d^2-42\,b^3\,c^3\,d\right)}{1820\,b^4\,{\left(a\,d-b\,c\right)}^4}+\frac{81\,d^3\,x^3\,\left(13\,a\,d-b\,c\right)}{1820\,b^2\,{\left(a\,d-b\,c\right)}^4}+\frac{27\,d^2\,x^2\,\left(65\,a^2\,d^2-13\,a\,b\,c\,d+2\,b^2\,c^2\right)}{1820\,b^3\,{\left(a\,d-b\,c\right)}^4}\right)}{x^4\,{\left(a+b\,x\right)}^{1/3}+\frac{a^4\,{\left(a+b\,x\right)}^{1/3}}{b^4}+\frac{6\,a^2\,x^2\,{\left(a+b\,x\right)}^{1/3}}{b^2}+\frac{4\,a\,x^3\,{\left(a+b\,x\right)}^{1/3}}{b}+\frac{4\,a^3\,x\,{\left(a+b\,x\right)}^{1/3}}{b^3}}","Not used",1,"((c + d*x)^(1/3)*((243*d^4*x^4)/(1820*b*(a*d - b*c)^4) - (420*b^3*c^4 - 1365*a^3*c*d^3 + 2340*a^2*b*c^2*d^2 - 1638*a*b^2*c^3*d)/(1820*b^4*(a*d - b*c)^4) + (x*(1365*a^3*d^4 - 42*b^3*c^3*d + 234*a*b^2*c^2*d^2 - 585*a^2*b*c*d^3))/(1820*b^4*(a*d - b*c)^4) + (81*d^3*x^3*(13*a*d - b*c))/(1820*b^2*(a*d - b*c)^4) + (27*d^2*x^2*(65*a^2*d^2 + 2*b^2*c^2 - 13*a*b*c*d))/(1820*b^3*(a*d - b*c)^4)))/(x^4*(a + b*x)^(1/3) + (a^4*(a + b*x)^(1/3))/b^4 + (6*a^2*x^2*(a + b*x)^(1/3))/b^2 + (4*a*x^3*(a + b*x)^(1/3))/b + (4*a^3*x*(a + b*x)^(1/3))/b^3)","B"
1582,0,-1,655,0.000000,"\text{Not used}","int((a + b*x)^(4/3)*(c + d*x)^(1/3),x)","\int {\left(a+b\,x\right)}^{4/3}\,{\left(c+d\,x\right)}^{1/3} \,d x","Not used",1,"int((a + b*x)^(4/3)*(c + d*x)^(1/3), x)","F"
1583,0,-1,617,0.000000,"\text{Not used}","int((a + b*x)^(1/3)*(c + d*x)^(1/3),x)","\int {\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{1/3} \,d x","Not used",1,"int((a + b*x)^(1/3)*(c + d*x)^(1/3), x)","F"
1584,0,-1,576,0.000000,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(2/3),x)","\int \frac{{\left(c+d\,x\right)}^{1/3}}{{\left(a+b\,x\right)}^{2/3}} \,d x","Not used",1,"int((c + d*x)^(1/3)/(a + b*x)^(2/3), x)","F"
1585,0,-1,568,0.000000,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(5/3),x)","\int \frac{{\left(c+d\,x\right)}^{1/3}}{{\left(a+b\,x\right)}^{5/3}} \,d x","Not used",1,"int((c + d*x)^(1/3)/(a + b*x)^(5/3), x)","F"
1586,0,-1,617,0.000000,"\text{Not used}","int((c + d*x)^(1/3)/(a + b*x)^(8/3),x)","\int \frac{{\left(c+d\,x\right)}^{1/3}}{{\left(a+b\,x\right)}^{8/3}} \,d x","Not used",1,"int((c + d*x)^(1/3)/(a + b*x)^(8/3), x)","F"
1587,0,-1,216,0.000000,"\text{Not used}","int((a + b*x)^(4/3)/(c + d*x)^(1/3),x)","\int \frac{{\left(a+b\,x\right)}^{4/3}}{{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(4/3)/(c + d*x)^(1/3), x)","F"
1588,0,-1,171,0.000000,"\text{Not used}","int((a + b*x)^(1/3)/(c + d*x)^(1/3),x)","\int \frac{{\left(a+b\,x\right)}^{1/3}}{{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(1/3)/(c + d*x)^(1/3), x)","F"
1589,0,-1,126,0.000000,"\text{Not used}","int(1/((a + b*x)^(2/3)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{2/3}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(2/3)*(c + d*x)^(1/3)), x)","F"
1590,0,-1,32,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/3)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/3}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(5/3)*(c + d*x)^(1/3)), x)","F"
1591,0,-1,66,0.000000,"\text{Not used}","int(1/((a + b*x)^(8/3)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{8/3}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(8/3)*(c + d*x)^(1/3)), x)","F"
1592,0,-1,101,0.000000,"\text{Not used}","int(1/((a + b*x)^(11/3)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{11/3}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(11/3)*(c + d*x)^(1/3)), x)","F"
1593,0,-1,136,0.000000,"\text{Not used}","int(1/((a + b*x)^(14/3)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{14/3}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(14/3)*(c + d*x)^(1/3)), x)","F"
1594,0,-1,1365,0.000000,"\text{Not used}","int((a + b*x)^(8/3)/(c + d*x)^(1/3),x)","\int \frac{{\left(a+b\,x\right)}^{8/3}}{{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(8/3)/(c + d*x)^(1/3), x)","F"
1595,0,-1,1330,0.000000,"\text{Not used}","int((a + b*x)^(5/3)/(c + d*x)^(1/3),x)","\int \frac{{\left(a+b\,x\right)}^{5/3}}{{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(5/3)/(c + d*x)^(1/3), x)","F"
1596,0,-1,1293,0.000000,"\text{Not used}","int((a + b*x)^(2/3)/(c + d*x)^(1/3),x)","\int \frac{{\left(a+b\,x\right)}^{2/3}}{{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int((a + b*x)^(2/3)/(c + d*x)^(1/3), x)","F"
1597,0,-1,1257,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/3)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(1/3)*(c + d*x)^(1/3)), x)","F"
1598,0,-1,1297,0.000000,"\text{Not used}","int(1/((a + b*x)^(4/3)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{4/3}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(4/3)*(c + d*x)^(1/3)), x)","F"
1599,0,-1,1335,0.000000,"\text{Not used}","int(1/((a + b*x)^(7/3)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{7/3}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(7/3)*(c + d*x)^(1/3)), x)","F"
1600,0,-1,1372,0.000000,"\text{Not used}","int(1/((a + b*x)^(10/3)*(c + d*x)^(1/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{10/3}\,{\left(c+d\,x\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + b*x)^(10/3)*(c + d*x)^(1/3)), x)","F"
1601,0,-1,216,0.000000,"\text{Not used}","int((a + b*x)^(5/3)/(c + d*x)^(2/3),x)","\int \frac{{\left(a+b\,x\right)}^{5/3}}{{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + b*x)^(5/3)/(c + d*x)^(2/3), x)","F"
1602,0,-1,169,0.000000,"\text{Not used}","int((a + b*x)^(2/3)/(c + d*x)^(2/3),x)","\int \frac{{\left(a+b\,x\right)}^{2/3}}{{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + b*x)^(2/3)/(c + d*x)^(2/3), x)","F"
1603,0,-1,126,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/3)*(c + d*x)^(2/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((a + b*x)^(1/3)*(c + d*x)^(2/3)), x)","F"
1604,1,26,30,0.827690,"\text{Not used}","int(1/((a + b*x)^(4/3)*(c + d*x)^(2/3)),x)","\frac{3\,{\left(c+d\,x\right)}^{1/3}}{\left(a\,d-b\,c\right)\,{\left(a+b\,x\right)}^{1/3}}","Not used",1,"(3*(c + d*x)^(1/3))/((a*d - b*c)*(a + b*x)^(1/3))","B"
1605,1,71,66,0.977113,"\text{Not used}","int(1/((a + b*x)^(7/3)*(c + d*x)^(2/3)),x)","\frac{\left(\frac{9\,d\,x}{4\,{\left(a\,d-b\,c\right)}^2}+\frac{12\,a\,d-3\,b\,c}{4\,b\,{\left(a\,d-b\,c\right)}^2}\right)\,{\left(c+d\,x\right)}^{1/3}}{x\,{\left(a+b\,x\right)}^{1/3}+\frac{a\,{\left(a+b\,x\right)}^{1/3}}{b}}","Not used",1,"(((9*d*x)/(4*(a*d - b*c)^2) + (12*a*d - 3*b*c)/(4*b*(a*d - b*c)^2))*(c + d*x)^(1/3))/(x*(a + b*x)^(1/3) + (a*(a + b*x)^(1/3))/b)","B"
1606,1,133,101,1.508478,"\text{Not used}","int(1/((a + b*x)^(10/3)*(c + d*x)^(2/3)),x)","\frac{{\left(c+d\,x\right)}^{1/3}\,\left(\frac{27\,d^2\,x^2}{14\,{\left(a\,d-b\,c\right)}^3}+\frac{42\,a^2\,d^2-21\,a\,b\,c\,d+6\,b^2\,c^2}{14\,b^2\,{\left(a\,d-b\,c\right)}^3}+\frac{9\,d\,x\,\left(7\,a\,d-b\,c\right)}{14\,b\,{\left(a\,d-b\,c\right)}^3}\right)}{x^2\,{\left(a+b\,x\right)}^{1/3}+\frac{a^2\,{\left(a+b\,x\right)}^{1/3}}{b^2}+\frac{2\,a\,x\,{\left(a+b\,x\right)}^{1/3}}{b}}","Not used",1,"((c + d*x)^(1/3)*((27*d^2*x^2)/(14*(a*d - b*c)^3) + (42*a^2*d^2 + 6*b^2*c^2 - 21*a*b*c*d)/(14*b^2*(a*d - b*c)^3) + (9*d*x*(7*a*d - b*c))/(14*b*(a*d - b*c)^3)))/(x^2*(a + b*x)^(1/3) + (a^2*(a + b*x)^(1/3))/b^2 + (2*a*x*(a + b*x)^(1/3))/b)","B"
1607,1,209,136,1.272789,"\text{Not used}","int(1/((a + b*x)^(13/3)*(c + d*x)^(2/3)),x)","\frac{{\left(c+d\,x\right)}^{1/3}\,\left(\frac{243\,d^3\,x^3}{140\,{\left(a\,d-b\,c\right)}^4}+\frac{420\,a^3\,d^3-315\,a^2\,b\,c\,d^2+180\,a\,b^2\,c^2\,d-42\,b^3\,c^3}{140\,b^3\,{\left(a\,d-b\,c\right)}^4}+\frac{27\,d\,x\,\left(35\,a^2\,d^2-10\,a\,b\,c\,d+2\,b^2\,c^2\right)}{140\,b^2\,{\left(a\,d-b\,c\right)}^4}+\frac{81\,d^2\,x^2\,\left(10\,a\,d-b\,c\right)}{140\,b\,{\left(a\,d-b\,c\right)}^4}\right)}{x^3\,{\left(a+b\,x\right)}^{1/3}+\frac{a^3\,{\left(a+b\,x\right)}^{1/3}}{b^3}+\frac{3\,a\,x^2\,{\left(a+b\,x\right)}^{1/3}}{b}+\frac{3\,a^2\,x\,{\left(a+b\,x\right)}^{1/3}}{b^2}}","Not used",1,"((c + d*x)^(1/3)*((243*d^3*x^3)/(140*(a*d - b*c)^4) + (420*a^3*d^3 - 42*b^3*c^3 + 180*a*b^2*c^2*d - 315*a^2*b*c*d^2)/(140*b^3*(a*d - b*c)^4) + (27*d*x*(35*a^2*d^2 + 2*b^2*c^2 - 10*a*b*c*d))/(140*b^2*(a*d - b*c)^4) + (81*d^2*x^2*(10*a*d - b*c))/(140*b*(a*d - b*c)^4)))/(x^3*(a + b*x)^(1/3) + (a^3*(a + b*x)^(1/3))/b^3 + (3*a*x^2*(a + b*x)^(1/3))/b + (3*a^2*x*(a + b*x)^(1/3))/b^2)","B"
1608,0,-1,649,0.000000,"\text{Not used}","int((a + b*x)^(7/3)/(c + d*x)^(2/3),x)","\int \frac{{\left(a+b\,x\right)}^{7/3}}{{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + b*x)^(7/3)/(c + d*x)^(2/3), x)","F"
1609,0,-1,614,0.000000,"\text{Not used}","int((a + b*x)^(4/3)/(c + d*x)^(2/3),x)","\int \frac{{\left(a+b\,x\right)}^{4/3}}{{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + b*x)^(4/3)/(c + d*x)^(2/3), x)","F"
1610,0,-1,577,0.000000,"\text{Not used}","int((a + b*x)^(1/3)/(c + d*x)^(2/3),x)","\int \frac{{\left(a+b\,x\right)}^{1/3}}{{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int((a + b*x)^(1/3)/(c + d*x)^(2/3), x)","F"
1611,0,-1,542,0.000000,"\text{Not used}","int(1/((a + b*x)^(2/3)*(c + d*x)^(2/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{2/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((a + b*x)^(2/3)*(c + d*x)^(2/3)), x)","F"
1612,0,-1,586,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/3)*(c + d*x)^(2/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((a + b*x)^(5/3)*(c + d*x)^(2/3)), x)","F"
1613,0,-1,621,0.000000,"\text{Not used}","int(1/((a + b*x)^(8/3)*(c + d*x)^(2/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{8/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((a + b*x)^(8/3)*(c + d*x)^(2/3)), x)","F"
1614,0,-1,656,0.000000,"\text{Not used}","int(1/((a + b*x)^(11/3)*(c + d*x)^(2/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{11/3}\,{\left(c+d\,x\right)}^{2/3}} \,d x","Not used",1,"int(1/((a + b*x)^(11/3)*(c + d*x)^(2/3)), x)","F"
1615,0,-1,241,0.000000,"\text{Not used}","int((a + b*x)^(7/3)/(c + d*x)^(4/3),x)","\int \frac{{\left(a+b\,x\right)}^{7/3}}{{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(7/3)/(c + d*x)^(4/3), x)","F"
1616,0,-1,195,0.000000,"\text{Not used}","int((a + b*x)^(4/3)/(c + d*x)^(4/3),x)","\int \frac{{\left(a+b\,x\right)}^{4/3}}{{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(4/3)/(c + d*x)^(4/3), x)","F"
1617,0,-1,149,0.000000,"\text{Not used}","int((a + b*x)^(1/3)/(c + d*x)^(4/3),x)","\int \frac{{\left(a+b\,x\right)}^{1/3}}{{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(1/3)/(c + d*x)^(4/3), x)","F"
1618,0,-1,30,0.000000,"\text{Not used}","int(1/((a + b*x)^(2/3)*(c + d*x)^(4/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{2/3}\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)^(2/3)*(c + d*x)^(4/3)), x)","F"
1619,0,-1,66,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/3)*(c + d*x)^(4/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/3}\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)^(5/3)*(c + d*x)^(4/3)), x)","F"
1620,0,-1,101,0.000000,"\text{Not used}","int(1/((a + b*x)^(8/3)*(c + d*x)^(4/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{8/3}\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)^(8/3)*(c + d*x)^(4/3)), x)","F"
1621,0,-1,136,0.000000,"\text{Not used}","int(1/((a + b*x)^(11/3)*(c + d*x)^(4/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{11/3}\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)^(11/3)*(c + d*x)^(4/3)), x)","F"
1622,0,-1,1355,0.000000,"\text{Not used}","int((a + b*x)^(8/3)/(c + d*x)^(4/3),x)","\int \frac{{\left(a+b\,x\right)}^{8/3}}{{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(8/3)/(c + d*x)^(4/3), x)","F"
1623,0,-1,1317,0.000000,"\text{Not used}","int((a + b*x)^(5/3)/(c + d*x)^(4/3),x)","\int \frac{{\left(a+b\,x\right)}^{5/3}}{{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(5/3)/(c + d*x)^(4/3), x)","F"
1624,0,-1,1279,0.000000,"\text{Not used}","int((a + b*x)^(2/3)/(c + d*x)^(4/3),x)","\int \frac{{\left(a+b\,x\right)}^{2/3}}{{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int((a + b*x)^(2/3)/(c + d*x)^(4/3), x)","F"
1625,0,-1,1298,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/3)*(c + d*x)^(4/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/3}\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)^(1/3)*(c + d*x)^(4/3)), x)","F"
1626,0,-1,1327,0.000000,"\text{Not used}","int(1/((a + b*x)^(4/3)*(c + d*x)^(4/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{4/3}\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)^(4/3)*(c + d*x)^(4/3)), x)","F"
1627,0,-1,1370,0.000000,"\text{Not used}","int(1/((a + b*x)^(7/3)*(c + d*x)^(4/3)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{7/3}\,{\left(c+d\,x\right)}^{4/3}} \,d x","Not used",1,"int(1/((a + b*x)^(7/3)*(c + d*x)^(4/3)), x)","F"
1628,0,-1,77,0.000000,"\text{Not used}","int((x - 1)^(1/3)/(x + 1)^(1/3),x)","\int \frac{{\left(x-1\right)}^{1/3}}{{\left(x+1\right)}^{1/3}} \,d x","Not used",1,"int((x - 1)^(1/3)/(x + 1)^(1/3), x)","F"
1629,0,-1,185,0.000000,"\text{Not used}","int((a + b*x)^(3/2)*(c + d*x)^(1/4),x)","\int {\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{1/4} \,d x","Not used",1,"int((a + b*x)^(3/2)*(c + d*x)^(1/4), x)","F"
1630,0,-1,147,0.000000,"\text{Not used}","int((a + b*x)^(1/2)*(c + d*x)^(1/4),x)","\int \sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{1/4} \,d x","Not used",1,"int((a + b*x)^(1/2)*(c + d*x)^(1/4), x)","F"
1631,0,-1,111,0.000000,"\text{Not used}","int((c + d*x)^(1/4)/(a + b*x)^(1/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/4}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(1/4)/(a + b*x)^(1/2), x)","F"
1632,0,-1,104,0.000000,"\text{Not used}","int((c + d*x)^(1/4)/(a + b*x)^(3/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/4}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(1/4)/(a + b*x)^(3/2), x)","F"
1633,0,-1,145,0.000000,"\text{Not used}","int((c + d*x)^(1/4)/(a + b*x)^(5/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/4}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(1/4)/(a + b*x)^(5/2), x)","F"
1634,0,-1,185,0.000000,"\text{Not used}","int((c + d*x)^(1/4)/(a + b*x)^(7/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/4}}{{\left(a+b\,x\right)}^{7/2}} \,d x","Not used",1,"int((c + d*x)^(1/4)/(a + b*x)^(7/2), x)","F"
1635,0,-1,270,0.000000,"\text{Not used}","int((a + b*x)^(3/2)*(c + d*x)^(3/4),x)","\int {\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/4} \,d x","Not used",1,"int((a + b*x)^(3/2)*(c + d*x)^(3/4), x)","F"
1636,0,-1,232,0.000000,"\text{Not used}","int((a + b*x)^(1/2)*(c + d*x)^(3/4),x)","\int \sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/4} \,d x","Not used",1,"int((a + b*x)^(1/2)*(c + d*x)^(3/4), x)","F"
1637,0,-1,196,0.000000,"\text{Not used}","int((c + d*x)^(3/4)/(a + b*x)^(1/2),x)","\int \frac{{\left(c+d\,x\right)}^{3/4}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(3/4)/(a + b*x)^(1/2), x)","F"
1638,0,-1,184,0.000000,"\text{Not used}","int((c + d*x)^(3/4)/(a + b*x)^(3/2),x)","\int \frac{{\left(c+d\,x\right)}^{3/4}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(3/4)/(a + b*x)^(3/2), x)","F"
1639,0,-1,221,0.000000,"\text{Not used}","int((c + d*x)^(3/4)/(a + b*x)^(5/2),x)","\int \frac{{\left(c+d\,x\right)}^{3/4}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(3/4)/(a + b*x)^(5/2), x)","F"
1640,0,-1,270,0.000000,"\text{Not used}","int((c + d*x)^(3/4)/(a + b*x)^(7/2),x)","\int \frac{{\left(c+d\,x\right)}^{3/4}}{{\left(a+b\,x\right)}^{7/2}} \,d x","Not used",1,"int((c + d*x)^(3/4)/(a + b*x)^(7/2), x)","F"
1641,0,-1,220,0.000000,"\text{Not used}","int((a + b*x)^(3/2)*(c + d*x)^(5/4),x)","\int {\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/4} \,d x","Not used",1,"int((a + b*x)^(3/2)*(c + d*x)^(5/4), x)","F"
1642,0,-1,182,0.000000,"\text{Not used}","int((a + b*x)^(1/2)*(c + d*x)^(5/4),x)","\int \sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/4} \,d x","Not used",1,"int((a + b*x)^(1/2)*(c + d*x)^(5/4), x)","F"
1643,0,-1,144,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(1/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(1/2), x)","F"
1644,0,-1,132,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(3/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(3/2), x)","F"
1645,0,-1,135,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(5/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(5/2), x)","F"
1646,0,-1,175,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(7/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{7/2}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(7/2), x)","F"
1647,0,-1,213,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(9/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{9/2}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(9/2), x)","F"
1648,0,-1,264,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(c + d*x)^(1/4),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(c + d*x)^(1/4), x)","F"
1649,0,-1,229,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(1/4),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(1/4), x)","F"
1650,0,-1,196,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(1/4),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(1/4), x)","F"
1651,0,-1,167,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(1/4)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(1/4)), x)","F"
1652,0,-1,191,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(1/4)), x)","F"
1653,0,-1,224,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(1/4)), x)","F"
1654,0,-1,144,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(3/4),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(3/4), x)","F"
1655,0,-1,111,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(3/4),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(3/4), x)","F"
1656,0,-1,83,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(3/4)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(3/4)), x)","F"
1657,0,-1,111,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(3/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(3/4)), x)","F"
1658,0,-1,149,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(3/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(3/4)), x)","F"
1659,0,-1,254,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(c + d*x)^(5/4),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(c + d*x)^(5/4), x)","F"
1660,0,-1,220,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(5/4),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(5/4), x)","F"
1661,0,-1,190,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(5/4),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(5/4), x)","F"
1662,0,-1,197,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(5/4)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(5/4)), x)","F"
1663,0,-1,222,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(5/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(5/4)), x)","F"
1664,0,-1,261,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(5/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(5/4)), x)","F"
1665,0,-1,207,0.000000,"\text{Not used}","int((a + b*x)^(7/2)/(c + d*x)^(7/4),x)","\int \frac{{\left(a+b\,x\right)}^{7/2}}{{\left(c+d\,x\right)}^{7/4}} \,d x","Not used",1,"int((a + b*x)^(7/2)/(c + d*x)^(7/4), x)","F"
1666,0,-1,137,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(7/4),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{7/4}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(7/4), x)","F"
1667,0,-1,111,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(7/4),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{7/4}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(7/4), x)","F"
1668,0,-1,118,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(7/4)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{7/4}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(7/4)), x)","F"
1669,0,-1,146,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(7/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{7/4}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(7/4)), x)","F"
1670,0,-1,178,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(7/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{7/4}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(7/4)), x)","F"
1671,0,-1,286,0.000000,"\text{Not used}","int((a + b*x)^(7/2)/(c + d*x)^(9/4),x)","\int \frac{{\left(a+b\,x\right)}^{7/2}}{{\left(c+d\,x\right)}^{9/4}} \,d x","Not used",1,"int((a + b*x)^(7/2)/(c + d*x)^(9/4), x)","F"
1672,0,-1,248,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(c + d*x)^(9/4),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{9/4}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(c + d*x)^(9/4), x)","F"
1673,0,-1,222,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(9/4),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{9/4}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(9/4), x)","F"
1674,0,-1,232,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(9/4),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{9/4}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(9/4), x)","F"
1675,0,-1,236,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(9/4)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{9/4}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(9/4)), x)","F"
1676,0,-1,262,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(9/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{9/4}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(9/4)), x)","F"
1677,0,-1,303,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(9/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{9/4}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(9/4)), x)","F"
1678,0,-1,205,0.000000,"\text{Not used}","int((a + b*x)^(3/4)*(c + d*x)^(5/4),x)","\int {\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{5/4} \,d x","Not used",1,"int((a + b*x)^(3/4)*(c + d*x)^(5/4), x)","F"
1679,0,-1,167,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(1/4),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{1/4}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(1/4), x)","F"
1680,0,-1,152,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(5/4),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{5/4}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(5/4), x)","F"
1681,0,-1,134,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(9/4),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{9/4}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(9/4), x)","F"
1682,1,99,32,0.810128,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(13/4),x)","\frac{4\,c^2\,{\left(c+d\,x\right)}^{1/4}+4\,d^2\,x^2\,{\left(c+d\,x\right)}^{1/4}+8\,c\,d\,x\,{\left(c+d\,x\right)}^{1/4}}{{\left(a+b\,x\right)}^{1/4}\,\left(9\,d\,a^3+18\,d\,a^2\,b\,x-9\,c\,a^2\,b+9\,d\,a\,b^2\,x^2-18\,c\,a\,b^2\,x-9\,c\,b^3\,x^2\right)}","Not used",1,"(4*c^2*(c + d*x)^(1/4) + 4*d^2*x^2*(c + d*x)^(1/4) + 8*c*d*x*(c + d*x)^(1/4))/((a + b*x)^(1/4)*(9*a^3*d - 9*b^3*c*x^2 - 9*a^2*b*c - 18*a*b^2*c*x + 18*a^2*b*d*x + 9*a*b^2*d*x^2))","B"
1683,1,178,66,0.954549,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(17/4),x)","\frac{{\left(c+d\,x\right)}^{1/4}\,\left(\frac{16\,d^3\,x^3}{117\,b^2\,{\left(a\,d-b\,c\right)}^2}-\frac{36\,b\,c^3-52\,a\,c^2\,d}{117\,b^3\,{\left(a\,d-b\,c\right)}^2}+\frac{x^2\,\left(52\,a\,d^3-4\,b\,c\,d^2\right)}{117\,b^3\,{\left(a\,d-b\,c\right)}^2}+\frac{8\,c\,d\,x\,\left(13\,a\,d-7\,b\,c\right)}{117\,b^3\,{\left(a\,d-b\,c\right)}^2}\right)}{x^3\,{\left(a+b\,x\right)}^{1/4}+\frac{a^3\,{\left(a+b\,x\right)}^{1/4}}{b^3}+\frac{3\,a\,x^2\,{\left(a+b\,x\right)}^{1/4}}{b}+\frac{3\,a^2\,x\,{\left(a+b\,x\right)}^{1/4}}{b^2}}","Not used",1,"((c + d*x)^(1/4)*((16*d^3*x^3)/(117*b^2*(a*d - b*c)^2) - (36*b*c^3 - 52*a*c^2*d)/(117*b^3*(a*d - b*c)^2) + (x^2*(52*a*d^3 - 4*b*c*d^2))/(117*b^3*(a*d - b*c)^2) + (8*c*d*x*(13*a*d - 7*b*c))/(117*b^3*(a*d - b*c)^2)))/(x^3*(a + b*x)^(1/4) + (a^3*(a + b*x)^(1/4))/b^3 + (3*a*x^2*(a + b*x)^(1/4))/b + (3*a^2*x*(a + b*x)^(1/4))/b^2)","B"
1684,1,268,101,1.126424,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(21/4),x)","\frac{{\left(c+d\,x\right)}^{1/4}\,\left(\frac{884\,a^2\,c^2\,d^2-1224\,a\,b\,c^3\,d+468\,b^2\,c^4}{1989\,b^4\,{\left(a\,d-b\,c\right)}^3}+\frac{x^2\,\left(884\,a^2\,d^4-136\,a\,b\,c\,d^3+20\,b^2\,c^2\,d^2\right)}{1989\,b^4\,{\left(a\,d-b\,c\right)}^3}+\frac{128\,d^4\,x^4}{1989\,b^2\,{\left(a\,d-b\,c\right)}^3}+\frac{32\,d^3\,x^3\,\left(17\,a\,d-b\,c\right)}{1989\,b^3\,{\left(a\,d-b\,c\right)}^3}+\frac{8\,c\,d\,x\,\left(221\,a^2\,d^2-238\,a\,b\,c\,d+81\,b^2\,c^2\right)}{1989\,b^4\,{\left(a\,d-b\,c\right)}^3}\right)}{x^4\,{\left(a+b\,x\right)}^{1/4}+\frac{a^4\,{\left(a+b\,x\right)}^{1/4}}{b^4}+\frac{6\,a^2\,x^2\,{\left(a+b\,x\right)}^{1/4}}{b^2}+\frac{4\,a\,x^3\,{\left(a+b\,x\right)}^{1/4}}{b}+\frac{4\,a^3\,x\,{\left(a+b\,x\right)}^{1/4}}{b^3}}","Not used",1,"((c + d*x)^(1/4)*((468*b^2*c^4 + 884*a^2*c^2*d^2 - 1224*a*b*c^3*d)/(1989*b^4*(a*d - b*c)^3) + (x^2*(884*a^2*d^4 + 20*b^2*c^2*d^2 - 136*a*b*c*d^3))/(1989*b^4*(a*d - b*c)^3) + (128*d^4*x^4)/(1989*b^2*(a*d - b*c)^3) + (32*d^3*x^3*(17*a*d - b*c))/(1989*b^3*(a*d - b*c)^3) + (8*c*d*x*(221*a^2*d^2 + 81*b^2*c^2 - 238*a*b*c*d))/(1989*b^4*(a*d - b*c)^3)))/(x^4*(a + b*x)^(1/4) + (a^4*(a + b*x)^(1/4))/b^4 + (6*a^2*x^2*(a + b*x)^(1/4))/b^2 + (4*a*x^3*(a + b*x)^(1/4))/b + (4*a^3*x*(a + b*x)^(1/4))/b^3)","B"
1685,1,376,136,1.359594,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(25/4),x)","\frac{{\left(c+d\,x\right)}^{1/4}\,\left(\frac{x^2\,\left(6188\,a^3\,d^5-1428\,a^2\,b\,c\,d^4+420\,a\,b^2\,c^2\,d^3-60\,b^3\,c^3\,d^2\right)}{13923\,b^5\,{\left(a\,d-b\,c\right)}^4}-\frac{-6188\,a^3\,c^2\,d^3+12852\,a^2\,b\,c^3\,d^2-9828\,a\,b^2\,c^4\,d+2652\,b^3\,c^5}{13923\,b^5\,{\left(a\,d-b\,c\right)}^4}+\frac{x\,\left(12376\,a^3\,c\,d^4-19992\,a^2\,b\,c^2\,d^3+13608\,a\,b^2\,c^3\,d^2-3432\,b^3\,c^4\,d\right)}{13923\,b^5\,{\left(a\,d-b\,c\right)}^4}+\frac{512\,d^5\,x^5}{13923\,b^2\,{\left(a\,d-b\,c\right)}^4}+\frac{128\,d^4\,x^4\,\left(21\,a\,d-b\,c\right)}{13923\,b^3\,{\left(a\,d-b\,c\right)}^4}+\frac{16\,d^3\,x^3\,\left(357\,a^2\,d^2-42\,a\,b\,c\,d+5\,b^2\,c^2\right)}{13923\,b^4\,{\left(a\,d-b\,c\right)}^4}\right)}{x^5\,{\left(a+b\,x\right)}^{1/4}+\frac{a^5\,{\left(a+b\,x\right)}^{1/4}}{b^5}+\frac{10\,a^2\,x^3\,{\left(a+b\,x\right)}^{1/4}}{b^2}+\frac{10\,a^3\,x^2\,{\left(a+b\,x\right)}^{1/4}}{b^3}+\frac{5\,a\,x^4\,{\left(a+b\,x\right)}^{1/4}}{b}+\frac{5\,a^4\,x\,{\left(a+b\,x\right)}^{1/4}}{b^4}}","Not used",1,"((c + d*x)^(1/4)*((x^2*(6188*a^3*d^5 - 60*b^3*c^3*d^2 + 420*a*b^2*c^2*d^3 - 1428*a^2*b*c*d^4))/(13923*b^5*(a*d - b*c)^4) - (2652*b^3*c^5 - 6188*a^3*c^2*d^3 + 12852*a^2*b*c^3*d^2 - 9828*a*b^2*c^4*d)/(13923*b^5*(a*d - b*c)^4) + (x*(12376*a^3*c*d^4 - 3432*b^3*c^4*d + 13608*a*b^2*c^3*d^2 - 19992*a^2*b*c^2*d^3))/(13923*b^5*(a*d - b*c)^4) + (512*d^5*x^5)/(13923*b^2*(a*d - b*c)^4) + (128*d^4*x^4*(21*a*d - b*c))/(13923*b^3*(a*d - b*c)^4) + (16*d^3*x^3*(357*a^2*d^2 + 5*b^2*c^2 - 42*a*b*c*d))/(13923*b^4*(a*d - b*c)^4)))/(x^5*(a + b*x)^(1/4) + (a^5*(a + b*x)^(1/4))/b^5 + (10*a^2*x^3*(a + b*x)^(1/4))/b^2 + (10*a^3*x^2*(a + b*x)^(1/4))/b^3 + (5*a*x^4*(a + b*x)^(1/4))/b + (5*a^4*x*(a + b*x)^(1/4))/b^4)","B"
1686,0,-1,408,0.000000,"\text{Not used}","int((a + b*x)^(5/4)*(c + d*x)^(5/4),x)","\int {\left(a+b\,x\right)}^{5/4}\,{\left(c+d\,x\right)}^{5/4} \,d x","Not used",1,"int((a + b*x)^(5/4)*(c + d*x)^(5/4), x)","F"
1687,0,-1,370,0.000000,"\text{Not used}","int((a + b*x)^(1/4)*(c + d*x)^(5/4),x)","\int {\left(a+b\,x\right)}^{1/4}\,{\left(c+d\,x\right)}^{5/4} \,d x","Not used",1,"int((a + b*x)^(1/4)*(c + d*x)^(5/4), x)","F"
1688,0,-1,332,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(3/4),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{3/4}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(3/4), x)","F"
1689,0,-1,325,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(7/4),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{7/4}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(7/4), x)","F"
1690,0,-1,325,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(11/4),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{11/4}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(11/4), x)","F"
1691,0,-1,363,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(15/4),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{15/4}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(15/4), x)","F"
1692,0,-1,401,0.000000,"\text{Not used}","int((c + d*x)^(5/4)/(a + b*x)^(19/4),x)","\int \frac{{\left(c+d\,x\right)}^{5/4}}{{\left(a+b\,x\right)}^{19/4}} \,d x","Not used",1,"int((c + d*x)^(5/4)/(a + b*x)^(19/4), x)","F"
1693,0,-1,167,0.000000,"\text{Not used}","int((a + b*x)^(5/4)/(c + d*x)^(1/4),x)","\int \frac{{\left(a+b\,x\right)}^{5/4}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(5/4)/(c + d*x)^(1/4), x)","F"
1694,0,-1,127,0.000000,"\text{Not used}","int((a + b*x)^(1/4)/(c + d*x)^(1/4),x)","\int \frac{{\left(a+b\,x\right)}^{1/4}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(1/4)/(c + d*x)^(1/4), x)","F"
1695,0,-1,85,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(3/4)*(c + d*x)^(1/4)), x)","F"
1696,0,-1,32,0.000000,"\text{Not used}","int(1/((a + b*x)^(7/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{7/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(7/4)*(c + d*x)^(1/4)), x)","F"
1697,0,-1,66,0.000000,"\text{Not used}","int(1/((a + b*x)^(11/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{11/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(11/4)*(c + d*x)^(1/4)), x)","F"
1698,0,-1,101,0.000000,"\text{Not used}","int(1/((a + b*x)^(15/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{15/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(15/4)*(c + d*x)^(1/4)), x)","F"
1699,0,-1,136,0.000000,"\text{Not used}","int(1/((a + b*x)^(19/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{19/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(19/4)*(c + d*x)^(1/4)), x)","F"
1700,0,-1,751,0.000000,"\text{Not used}","int((a + b*x)^(7/4)/(c + d*x)^(1/4),x)","\int \frac{{\left(a+b\,x\right)}^{7/4}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(7/4)/(c + d*x)^(1/4), x)","F"
1701,0,-1,705,0.000000,"\text{Not used}","int((a + b*x)^(3/4)/(c + d*x)^(1/4),x)","\int \frac{{\left(a+b\,x\right)}^{3/4}}{{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int((a + b*x)^(3/4)/(c + d*x)^(1/4), x)","F"
1702,0,-1,688,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(1/4)*(c + d*x)^(1/4)), x)","F"
1703,0,-1,718,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(5/4)*(c + d*x)^(1/4)), x)","F"
1704,0,-1,760,0.000000,"\text{Not used}","int(1/((a + b*x)^(9/4)*(c + d*x)^(1/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{9/4}\,{\left(c+d\,x\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x)^(9/4)*(c + d*x)^(1/4)), x)","F"
1705,0,-1,167,0.000000,"\text{Not used}","int((a + b*x)^(7/4)/(c + d*x)^(3/4),x)","\int \frac{{\left(a+b\,x\right)}^{7/4}}{{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int((a + b*x)^(7/4)/(c + d*x)^(3/4), x)","F"
1706,0,-1,127,0.000000,"\text{Not used}","int((a + b*x)^(3/4)/(c + d*x)^(3/4),x)","\int \frac{{\left(a+b\,x\right)}^{3/4}}{{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int((a + b*x)^(3/4)/(c + d*x)^(3/4), x)","F"
1707,0,-1,85,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/4)*(c + d*x)^(3/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/4}\,{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int(1/((a + b*x)^(1/4)*(c + d*x)^(3/4)), x)","F"
1708,1,26,30,0.705859,"\text{Not used}","int(1/((a + b*x)^(5/4)*(c + d*x)^(3/4)),x)","\frac{4\,{\left(c+d\,x\right)}^{1/4}}{\left(a\,d-b\,c\right)\,{\left(a+b\,x\right)}^{1/4}}","Not used",1,"(4*(c + d*x)^(1/4))/((a*d - b*c)*(a + b*x)^(1/4))","B"
1709,1,71,66,0.867794,"\text{Not used}","int(1/((a + b*x)^(9/4)*(c + d*x)^(3/4)),x)","\frac{\left(\frac{16\,d\,x}{5\,{\left(a\,d-b\,c\right)}^2}+\frac{20\,a\,d-4\,b\,c}{5\,b\,{\left(a\,d-b\,c\right)}^2}\right)\,{\left(c+d\,x\right)}^{1/4}}{x\,{\left(a+b\,x\right)}^{1/4}+\frac{a\,{\left(a+b\,x\right)}^{1/4}}{b}}","Not used",1,"(((16*d*x)/(5*(a*d - b*c)^2) + (20*a*d - 4*b*c)/(5*b*(a*d - b*c)^2))*(c + d*x)^(1/4))/(x*(a + b*x)^(1/4) + (a*(a + b*x)^(1/4))/b)","B"
1710,1,133,101,1.019651,"\text{Not used}","int(1/((a + b*x)^(13/4)*(c + d*x)^(3/4)),x)","\frac{{\left(c+d\,x\right)}^{1/4}\,\left(\frac{128\,d^2\,x^2}{45\,{\left(a\,d-b\,c\right)}^3}+\frac{180\,a^2\,d^2-72\,a\,b\,c\,d+20\,b^2\,c^2}{45\,b^2\,{\left(a\,d-b\,c\right)}^3}+\frac{32\,d\,x\,\left(9\,a\,d-b\,c\right)}{45\,b\,{\left(a\,d-b\,c\right)}^3}\right)}{x^2\,{\left(a+b\,x\right)}^{1/4}+\frac{a^2\,{\left(a+b\,x\right)}^{1/4}}{b^2}+\frac{2\,a\,x\,{\left(a+b\,x\right)}^{1/4}}{b}}","Not used",1,"((c + d*x)^(1/4)*((128*d^2*x^2)/(45*(a*d - b*c)^3) + (180*a^2*d^2 + 20*b^2*c^2 - 72*a*b*c*d)/(45*b^2*(a*d - b*c)^3) + (32*d*x*(9*a*d - b*c))/(45*b*(a*d - b*c)^3)))/(x^2*(a + b*x)^(1/4) + (a^2*(a + b*x)^(1/4))/b^2 + (2*a*x*(a + b*x)^(1/4))/b)","B"
1711,1,209,136,1.259963,"\text{Not used}","int(1/((a + b*x)^(17/4)*(c + d*x)^(3/4)),x)","\frac{{\left(c+d\,x\right)}^{1/4}\,\left(\frac{512\,d^3\,x^3}{195\,{\left(a\,d-b\,c\right)}^4}+\frac{780\,a^3\,d^3-468\,a^2\,b\,c\,d^2+260\,a\,b^2\,c^2\,d-60\,b^3\,c^3}{195\,b^3\,{\left(a\,d-b\,c\right)}^4}+\frac{16\,d\,x\,\left(117\,a^2\,d^2-26\,a\,b\,c\,d+5\,b^2\,c^2\right)}{195\,b^2\,{\left(a\,d-b\,c\right)}^4}+\frac{128\,d^2\,x^2\,\left(13\,a\,d-b\,c\right)}{195\,b\,{\left(a\,d-b\,c\right)}^4}\right)}{x^3\,{\left(a+b\,x\right)}^{1/4}+\frac{a^3\,{\left(a+b\,x\right)}^{1/4}}{b^3}+\frac{3\,a\,x^2\,{\left(a+b\,x\right)}^{1/4}}{b}+\frac{3\,a^2\,x\,{\left(a+b\,x\right)}^{1/4}}{b^2}}","Not used",1,"((c + d*x)^(1/4)*((512*d^3*x^3)/(195*(a*d - b*c)^4) + (780*a^3*d^3 - 60*b^3*c^3 + 260*a*b^2*c^2*d - 468*a^2*b*c*d^2)/(195*b^3*(a*d - b*c)^4) + (16*d*x*(117*a^2*d^2 + 5*b^2*c^2 - 26*a*b*c*d))/(195*b^2*(a*d - b*c)^4) + (128*d^2*x^2*(13*a*d - b*c))/(195*b*(a*d - b*c)^4)))/(x^3*(a + b*x)^(1/4) + (a^3*(a + b*x)^(1/4))/b^3 + (3*a*x^2*(a + b*x)^(1/4))/b + (3*a^2*x*(a + b*x)^(1/4))/b^2)","B"
1712,0,-1,332,0.000000,"\text{Not used}","int((a + b*x)^(5/4)/(c + d*x)^(3/4),x)","\int \frac{{\left(a+b\,x\right)}^{5/4}}{{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int((a + b*x)^(5/4)/(c + d*x)^(3/4), x)","F"
1713,0,-1,295,0.000000,"\text{Not used}","int((a + b*x)^(1/4)/(c + d*x)^(3/4),x)","\int \frac{{\left(a+b\,x\right)}^{1/4}}{{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int((a + b*x)^(1/4)/(c + d*x)^(3/4), x)","F"
1714,0,-1,270,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/4)*(c + d*x)^(3/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int(1/((a + b*x)^(3/4)*(c + d*x)^(3/4)), x)","F"
1715,0,-1,306,0.000000,"\text{Not used}","int(1/((a + b*x)^(7/4)*(c + d*x)^(3/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{7/4}\,{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int(1/((a + b*x)^(7/4)*(c + d*x)^(3/4)), x)","F"
1716,0,-1,339,0.000000,"\text{Not used}","int(1/((a + b*x)^(11/4)*(c + d*x)^(3/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{11/4}\,{\left(c+d\,x\right)}^{3/4}} \,d x","Not used",1,"int(1/((a + b*x)^(11/4)*(c + d*x)^(3/4)), x)","F"
1717,0,-1,152,0.000000,"\text{Not used}","int((a + b*x)^(5/4)/(c + d*x)^(5/4),x)","\int \frac{{\left(a+b\,x\right)}^{5/4}}{{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int((a + b*x)^(5/4)/(c + d*x)^(5/4), x)","F"
1718,0,-1,108,0.000000,"\text{Not used}","int((a + b*x)^(1/4)/(c + d*x)^(5/4),x)","\int \frac{{\left(a+b\,x\right)}^{1/4}}{{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int((a + b*x)^(1/4)/(c + d*x)^(5/4), x)","F"
1719,0,-1,30,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/4)*(c + d*x)^(5/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/4}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(3/4)*(c + d*x)^(5/4)), x)","F"
1720,0,-1,66,0.000000,"\text{Not used}","int(1/((a + b*x)^(7/4)*(c + d*x)^(5/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{7/4}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(7/4)*(c + d*x)^(5/4)), x)","F"
1721,0,-1,101,0.000000,"\text{Not used}","int(1/((a + b*x)^(11/4)*(c + d*x)^(5/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{11/4}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(11/4)*(c + d*x)^(5/4)), x)","F"
1722,0,-1,136,0.000000,"\text{Not used}","int(1/((a + b*x)^(15/4)*(c + d*x)^(5/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{15/4}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(15/4)*(c + d*x)^(5/4)), x)","F"
1723,0,-1,776,0.000000,"\text{Not used}","int((a + b*x)^(11/4)/(c + d*x)^(5/4),x)","\int \frac{{\left(a+b\,x\right)}^{11/4}}{{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int((a + b*x)^(11/4)/(c + d*x)^(5/4), x)","F"
1724,0,-1,730,0.000000,"\text{Not used}","int((a + b*x)^(7/4)/(c + d*x)^(5/4),x)","\int \frac{{\left(a+b\,x\right)}^{7/4}}{{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int((a + b*x)^(7/4)/(c + d*x)^(5/4), x)","F"
1725,0,-1,712,0.000000,"\text{Not used}","int((a + b*x)^(3/4)/(c + d*x)^(5/4),x)","\int \frac{{\left(a+b\,x\right)}^{3/4}}{{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int((a + b*x)^(3/4)/(c + d*x)^(5/4), x)","F"
1726,0,-1,719,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/4)*(c + d*x)^(5/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/4}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(1/4)*(c + d*x)^(5/4)), x)","F"
1727,0,-1,750,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/4)*(c + d*x)^(5/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/4}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(5/4)*(c + d*x)^(5/4)), x)","F"
1728,0,-1,795,0.000000,"\text{Not used}","int(1/((a + b*x)^(9/4)*(c + d*x)^(5/4)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{9/4}\,{\left(c+d\,x\right)}^{5/4}} \,d x","Not used",1,"int(1/((a + b*x)^(9/4)*(c + d*x)^(5/4)), x)","F"
1729,0,-1,279,0.000000,"\text{Not used}","int(1/((1 - a*x)^(1/4)*(b*x + 1)^(3/4)),x)","\int \frac{1}{{\left(1-a\,x\right)}^{1/4}\,{\left(b\,x+1\right)}^{3/4}} \,d x","Not used",1,"int(1/((1 - a*x)^(1/4)*(b*x + 1)^(3/4)), x)","F"
1730,0,-1,193,0.000000,"\text{Not used}","int(1/((1 - a*x)^(1/4)*(a*x + 1)^(3/4)),x)","\int \frac{1}{{\left(1-a\,x\right)}^{1/4}\,{\left(a\,x+1\right)}^{3/4}} \,d x","Not used",1,"int(1/((1 - a*x)^(1/4)*(a*x + 1)^(3/4)), x)","F"
1731,0,-1,74,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(1/5),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{1/5}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(1/5), x)","F"
1732,0,-1,74,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(1/5),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{1/5}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(1/5), x)","F"
1733,0,-1,72,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(1/5)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{1/5}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(1/5)), x)","F"
1734,0,-1,72,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(1/5)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{1/5}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(1/5)), x)","F"
1735,0,-1,74,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(1/5)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{1/5}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(1/5)), x)","F"
1736,0,-1,487,0.000000,"\text{Not used}","int((a + b*x)^(5/2)*(c + d*x)^(1/6),x)","\int {\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{1/6} \,d x","Not used",1,"int((a + b*x)^(5/2)*(c + d*x)^(1/6), x)","F"
1737,0,-1,449,0.000000,"\text{Not used}","int((a + b*x)^(3/2)*(c + d*x)^(1/6),x)","\int {\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{1/6} \,d x","Not used",1,"int((a + b*x)^(3/2)*(c + d*x)^(1/6), x)","F"
1738,0,-1,411,0.000000,"\text{Not used}","int((a + b*x)^(1/2)*(c + d*x)^(1/6),x)","\int \sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{1/6} \,d x","Not used",1,"int((a + b*x)^(1/2)*(c + d*x)^(1/6), x)","F"
1739,0,-1,375,0.000000,"\text{Not used}","int((c + d*x)^(1/6)/(a + b*x)^(1/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/6}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(1/6)/(a + b*x)^(1/2), x)","F"
1740,0,-1,367,0.000000,"\text{Not used}","int((c + d*x)^(1/6)/(a + b*x)^(3/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/6}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(1/6)/(a + b*x)^(3/2), x)","F"
1741,0,-1,409,0.000000,"\text{Not used}","int((c + d*x)^(1/6)/(a + b*x)^(5/2),x)","\int \frac{{\left(c+d\,x\right)}^{1/6}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(1/6)/(a + b*x)^(5/2), x)","F"
1742,0,-1,896,0.000000,"\text{Not used}","int((a + b*x)^(3/2)*(c + d*x)^(5/6),x)","\int {\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/6} \,d x","Not used",1,"int((a + b*x)^(3/2)*(c + d*x)^(5/6), x)","F"
1743,0,-1,858,0.000000,"\text{Not used}","int((a + b*x)^(1/2)*(c + d*x)^(5/6),x)","\int \sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/6} \,d x","Not used",1,"int((a + b*x)^(1/2)*(c + d*x)^(5/6), x)","F"
1744,0,-1,817,0.000000,"\text{Not used}","int((c + d*x)^(5/6)/(a + b*x)^(1/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/6}}{\sqrt{a+b\,x}} \,d x","Not used",1,"int((c + d*x)^(5/6)/(a + b*x)^(1/2), x)","F"
1745,0,-1,798,0.000000,"\text{Not used}","int((c + d*x)^(5/6)/(a + b*x)^(3/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/6}}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x)^(5/6)/(a + b*x)^(3/2), x)","F"
1746,0,-1,854,0.000000,"\text{Not used}","int((c + d*x)^(5/6)/(a + b*x)^(5/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/6}}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((c + d*x)^(5/6)/(a + b*x)^(5/2), x)","F"
1747,0,-1,896,0.000000,"\text{Not used}","int((c + d*x)^(5/6)/(a + b*x)^(7/2),x)","\int \frac{{\left(c+d\,x\right)}^{5/6}}{{\left(a+b\,x\right)}^{7/2}} \,d x","Not used",1,"int((c + d*x)^(5/6)/(a + b*x)^(7/2), x)","F"
1748,0,-1,890,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(c + d*x)^(1/6),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(c + d*x)^(1/6), x)","F"
1749,0,-1,855,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(1/6),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(1/6), x)","F"
1750,0,-1,820,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(1/6),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(1/6), x)","F"
1751,0,-1,780,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(1/6)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(1/6)), x)","F"
1752,0,-1,813,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(1/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(1/6)), x)","F"
1753,0,-1,858,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(1/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(1/6)), x)","F"
1754,0,-1,440,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(c + d*x)^(5/6),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(c + d*x)^(5/6), x)","F"
1755,0,-1,405,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(5/6),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(5/6), x)","F"
1756,0,-1,372,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(5/6),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(5/6), x)","F"
1757,0,-1,343,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(5/6)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(5/6)), x)","F"
1758,0,-1,372,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(5/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(5/6)), x)","F"
1759,0,-1,410,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(5/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(5/6)), x)","F"
1760,0,-1,880,0.000000,"\text{Not used}","int((a + b*x)^(5/2)/(c + d*x)^(7/6),x)","\int \frac{{\left(a+b\,x\right)}^{5/2}}{{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int((a + b*x)^(5/2)/(c + d*x)^(7/6), x)","F"
1761,0,-1,844,0.000000,"\text{Not used}","int((a + b*x)^(3/2)/(c + d*x)^(7/6),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}}{{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int((a + b*x)^(3/2)/(c + d*x)^(7/6), x)","F"
1762,0,-1,806,0.000000,"\text{Not used}","int((a + b*x)^(1/2)/(c + d*x)^(7/6),x)","\int \frac{\sqrt{a+b\,x}}{{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int((a + b*x)^(1/2)/(c + d*x)^(7/6), x)","F"
1763,0,-1,817,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/2)*(c + d*x)^(7/6)),x)","\int \frac{1}{\sqrt{a+b\,x}\,{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int(1/((a + b*x)^(1/2)*(c + d*x)^(7/6)), x)","F"
1764,0,-1,844,0.000000,"\text{Not used}","int(1/((a + b*x)^(3/2)*(c + d*x)^(7/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{3/2}\,{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int(1/((a + b*x)^(3/2)*(c + d*x)^(7/6)), x)","F"
1765,0,-1,893,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/2)*(c + d*x)^(7/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/2}\,{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/2)*(c + d*x)^(7/6)), x)","F"
1766,0,-1,84,0.000000,"\text{Not used}","int((a + b*x)^(1/6)*(c + d*x)^(13/6),x)","\int {\left(a+b\,x\right)}^{1/6}\,{\left(c+d\,x\right)}^{13/6} \,d x","Not used",1,"int((a + b*x)^(1/6)*(c + d*x)^(13/6), x)","F"
1767,0,-1,82,0.000000,"\text{Not used}","int((a + b*x)^(1/6)*(c + d*x)^(7/6),x)","\int {\left(a+b\,x\right)}^{1/6}\,{\left(c+d\,x\right)}^{7/6} \,d x","Not used",1,"int((a + b*x)^(1/6)*(c + d*x)^(7/6), x)","F"
1768,0,-1,74,0.000000,"\text{Not used}","int((a + b*x)^(1/6)*(c + d*x)^(1/6),x)","\int {\left(a+b\,x\right)}^{1/6}\,{\left(c+d\,x\right)}^{1/6} \,d x","Not used",1,"int((a + b*x)^(1/6)*(c + d*x)^(1/6), x)","F"
1769,0,-1,74,0.000000,"\text{Not used}","int((a + b*x)^(1/6)/(c + d*x)^(5/6),x)","\int \frac{{\left(a+b\,x\right)}^{1/6}}{{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int((a + b*x)^(1/6)/(c + d*x)^(5/6), x)","F"
1770,0,-1,81,0.000000,"\text{Not used}","int((a + b*x)^(1/6)/(c + d*x)^(11/6),x)","\int \frac{{\left(a+b\,x\right)}^{1/6}}{{\left(c+d\,x\right)}^{11/6}} \,d x","Not used",1,"int((a + b*x)^(1/6)/(c + d*x)^(11/6), x)","F"
1771,0,-1,82,0.000000,"\text{Not used}","int((a + b*x)^(1/6)/(c + d*x)^(17/6),x)","\int \frac{{\left(a+b\,x\right)}^{1/6}}{{\left(c+d\,x\right)}^{17/6}} \,d x","Not used",1,"int((a + b*x)^(1/6)/(c + d*x)^(17/6), x)","F"
1772,0,-1,427,0.000000,"\text{Not used}","int((a + b*x)^(1/6)*(c + d*x)^(5/6),x)","\int {\left(a+b\,x\right)}^{1/6}\,{\left(c+d\,x\right)}^{5/6} \,d x","Not used",1,"int((a + b*x)^(1/6)*(c + d*x)^(5/6), x)","F"
1773,0,-1,378,0.000000,"\text{Not used}","int((a + b*x)^(1/6)/(c + d*x)^(1/6),x)","\int \frac{{\left(a+b\,x\right)}^{1/6}}{{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int((a + b*x)^(1/6)/(c + d*x)^(1/6), x)","F"
1774,0,-1,332,0.000000,"\text{Not used}","int((a + b*x)^(1/6)/(c + d*x)^(7/6),x)","\int \frac{{\left(a+b\,x\right)}^{1/6}}{{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int((a + b*x)^(1/6)/(c + d*x)^(7/6), x)","F"
1775,1,130,32,0.564886,"\text{Not used}","int((a + b*x)^(1/6)/(c + d*x)^(13/6),x)","-\frac{\left(\frac{6\,a\,{\left(a+b\,x\right)}^{1/6}}{7\,a\,d^3-7\,b\,c\,d^2}+\frac{6\,b\,x\,{\left(a+b\,x\right)}^{1/6}}{7\,a\,d^3-7\,b\,c\,d^2}\right)\,{\left(c+d\,x\right)}^{5/6}}{x^2-\frac{7\,b\,c^3-7\,a\,c^2\,d}{7\,a\,d^3-7\,b\,c\,d^2}+\frac{14\,c\,d\,x\,\left(a\,d-b\,c\right)}{7\,a\,d^3-7\,b\,c\,d^2}}","Not used",1,"-(((6*a*(a + b*x)^(1/6))/(7*a*d^3 - 7*b*c*d^2) + (6*b*x*(a + b*x)^(1/6))/(7*a*d^3 - 7*b*c*d^2))*(c + d*x)^(5/6))/(x^2 - (7*b*c^3 - 7*a*c^2*d)/(7*a*d^3 - 7*b*c*d^2) + (14*c*d*x*(a*d - b*c))/(7*a*d^3 - 7*b*c*d^2))","B"
1776,1,137,66,0.750062,"\text{Not used}","int((a + b*x)^(1/6)/(c + d*x)^(19/6),x)","\frac{{\left(c+d\,x\right)}^{5/6}\,\left(\frac{36\,b^2\,x^2\,{\left(a+b\,x\right)}^{1/6}}{91\,d^2\,{\left(a\,d-b\,c\right)}^2}-\frac{\left(42\,a^2\,d-78\,a\,b\,c\right)\,{\left(a+b\,x\right)}^{1/6}}{91\,d^3\,{\left(a\,d-b\,c\right)}^2}+\frac{x\,\left(78\,b^2\,c-6\,a\,b\,d\right)\,{\left(a+b\,x\right)}^{1/6}}{91\,d^3\,{\left(a\,d-b\,c\right)}^2}\right)}{x^3+\frac{c^3}{d^3}+\frac{3\,c\,x^2}{d}+\frac{3\,c^2\,x}{d^2}}","Not used",1,"((c + d*x)^(5/6)*((36*b^2*x^2*(a + b*x)^(1/6))/(91*d^2*(a*d - b*c)^2) - ((42*a^2*d - 78*a*b*c)*(a + b*x)^(1/6))/(91*d^3*(a*d - b*c)^2) + (x*(78*b^2*c - 6*a*b*d)*(a + b*x)^(1/6))/(91*d^3*(a*d - b*c)^2)))/(x^3 + c^3/d^3 + (3*c*x^2)/d + (3*c^2*x)/d^2)","B"
1777,1,213,101,0.948841,"\text{Not used}","int((a + b*x)^(1/6)/(c + d*x)^(25/6),x)","-\frac{{\left(c+d\,x\right)}^{5/6}\,\left(\frac{{\left(a+b\,x\right)}^{1/6}\,\left(546\,a^3\,d^2-1596\,a^2\,b\,c\,d+1482\,a\,b^2\,c^2\right)}{1729\,d^4\,{\left(a\,d-b\,c\right)}^3}+\frac{432\,b^3\,x^3\,{\left(a+b\,x\right)}^{1/6}}{1729\,d^2\,{\left(a\,d-b\,c\right)}^3}+\frac{x\,{\left(a+b\,x\right)}^{1/6}\,\left(42\,a^2\,b\,d^2-228\,a\,b^2\,c\,d+1482\,b^3\,c^2\right)}{1729\,d^4\,{\left(a\,d-b\,c\right)}^3}-\frac{72\,b^2\,x^2\,\left(a\,d-19\,b\,c\right)\,{\left(a+b\,x\right)}^{1/6}}{1729\,d^3\,{\left(a\,d-b\,c\right)}^3}\right)}{x^4+\frac{c^4}{d^4}+\frac{4\,c\,x^3}{d}+\frac{4\,c^3\,x}{d^3}+\frac{6\,c^2\,x^2}{d^2}}","Not used",1,"-((c + d*x)^(5/6)*(((a + b*x)^(1/6)*(546*a^3*d^2 + 1482*a*b^2*c^2 - 1596*a^2*b*c*d))/(1729*d^4*(a*d - b*c)^3) + (432*b^3*x^3*(a + b*x)^(1/6))/(1729*d^2*(a*d - b*c)^3) + (x*(a + b*x)^(1/6)*(1482*b^3*c^2 + 42*a^2*b*d^2 - 228*a*b^2*c*d))/(1729*d^4*(a*d - b*c)^3) - (72*b^2*x^2*(a*d - 19*b*c)*(a + b*x)^(1/6))/(1729*d^3*(a*d - b*c)^3)))/(x^4 + c^4/d^4 + (4*c*x^3)/d + (4*c^3*x)/d^3 + (6*c^2*x^2)/d^2)","B"
1778,1,302,136,1.146784,"\text{Not used}","int((a + b*x)^(1/6)/(c + d*x)^(31/6),x)","\frac{{\left(c+d\,x\right)}^{5/6}\,\left(\frac{7776\,b^4\,x^4\,{\left(a+b\,x\right)}^{1/6}}{43225\,d^2\,{\left(a\,d-b\,c\right)}^4}-\frac{{\left(a+b\,x\right)}^{1/6}\,\left(10374\,a^4\,d^3-40950\,a^3\,b\,c\,d^2+59850\,a^2\,b^2\,c^2\,d-37050\,a\,b^3\,c^3\right)}{43225\,d^5\,{\left(a\,d-b\,c\right)}^4}+\frac{x\,{\left(a+b\,x\right)}^{1/6}\,\left(-546\,a^3\,b\,d^3+3150\,a^2\,b^2\,c\,d^2-8550\,a\,b^3\,c^2\,d+37050\,b^4\,c^3\right)}{43225\,d^5\,{\left(a\,d-b\,c\right)}^4}+\frac{108\,b^2\,x^2\,{\left(a+b\,x\right)}^{1/6}\,\left(7\,a^2\,d^2-50\,a\,b\,c\,d+475\,b^2\,c^2\right)}{43225\,d^4\,{\left(a\,d-b\,c\right)}^4}-\frac{1296\,b^3\,x^3\,\left(a\,d-25\,b\,c\right)\,{\left(a+b\,x\right)}^{1/6}}{43225\,d^3\,{\left(a\,d-b\,c\right)}^4}\right)}{x^5+\frac{c^5}{d^5}+\frac{5\,c\,x^4}{d}+\frac{5\,c^4\,x}{d^4}+\frac{10\,c^2\,x^3}{d^2}+\frac{10\,c^3\,x^2}{d^3}}","Not used",1,"((c + d*x)^(5/6)*((7776*b^4*x^4*(a + b*x)^(1/6))/(43225*d^2*(a*d - b*c)^4) - ((a + b*x)^(1/6)*(10374*a^4*d^3 - 37050*a*b^3*c^3 + 59850*a^2*b^2*c^2*d - 40950*a^3*b*c*d^2))/(43225*d^5*(a*d - b*c)^4) + (x*(a + b*x)^(1/6)*(37050*b^4*c^3 - 546*a^3*b*d^3 + 3150*a^2*b^2*c*d^2 - 8550*a*b^3*c^2*d))/(43225*d^5*(a*d - b*c)^4) + (108*b^2*x^2*(a + b*x)^(1/6)*(7*a^2*d^2 + 475*b^2*c^2 - 50*a*b*c*d))/(43225*d^4*(a*d - b*c)^4) - (1296*b^3*x^3*(a*d - 25*b*c)*(a + b*x)^(1/6))/(43225*d^3*(a*d - b*c)^4)))/(x^5 + c^5/d^5 + (5*c*x^4)/d + (5*c^4*x)/d^4 + (10*c^2*x^3)/d^2 + (10*c^3*x^2)/d^3)","B"
1779,0,-1,427,0.000000,"\text{Not used}","int((a + b*x)^(5/6)*(c + d*x)^(1/6),x)","\int {\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{1/6} \,d x","Not used",1,"int((a + b*x)^(5/6)*(c + d*x)^(1/6), x)","F"
1780,0,-1,378,0.000000,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(5/6),x)","\int \frac{{\left(a+b\,x\right)}^{5/6}}{{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int((a + b*x)^(5/6)/(c + d*x)^(5/6), x)","F"
1781,0,-1,334,0.000000,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(11/6),x)","\int \frac{{\left(a+b\,x\right)}^{5/6}}{{\left(c+d\,x\right)}^{11/6}} \,d x","Not used",1,"int((a + b*x)^(5/6)/(c + d*x)^(11/6), x)","F"
1782,1,130,32,0.587465,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(17/6),x)","-\frac{\left(\frac{6\,a\,{\left(a+b\,x\right)}^{5/6}}{11\,a\,d^3-11\,b\,c\,d^2}+\frac{6\,b\,x\,{\left(a+b\,x\right)}^{5/6}}{11\,a\,d^3-11\,b\,c\,d^2}\right)\,{\left(c+d\,x\right)}^{1/6}}{x^2-\frac{11\,b\,c^3-11\,a\,c^2\,d}{11\,a\,d^3-11\,b\,c\,d^2}+\frac{22\,c\,d\,x\,\left(a\,d-b\,c\right)}{11\,a\,d^3-11\,b\,c\,d^2}}","Not used",1,"-(((6*a*(a + b*x)^(5/6))/(11*a*d^3 - 11*b*c*d^2) + (6*b*x*(a + b*x)^(5/6))/(11*a*d^3 - 11*b*c*d^2))*(c + d*x)^(1/6))/(x^2 - (11*b*c^3 - 11*a*c^2*d)/(11*a*d^3 - 11*b*c*d^2) + (22*c*d*x*(a*d - b*c))/(11*a*d^3 - 11*b*c*d^2))","B"
1783,1,137,66,0.743560,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(23/6),x)","\frac{{\left(c+d\,x\right)}^{1/6}\,\left(\frac{36\,b^2\,x^2\,{\left(a+b\,x\right)}^{5/6}}{187\,d^2\,{\left(a\,d-b\,c\right)}^2}-\frac{\left(66\,a^2\,d-102\,a\,b\,c\right)\,{\left(a+b\,x\right)}^{5/6}}{187\,d^3\,{\left(a\,d-b\,c\right)}^2}+\frac{x\,\left(102\,b^2\,c-30\,a\,b\,d\right)\,{\left(a+b\,x\right)}^{5/6}}{187\,d^3\,{\left(a\,d-b\,c\right)}^2}\right)}{x^3+\frac{c^3}{d^3}+\frac{3\,c\,x^2}{d}+\frac{3\,c^2\,x}{d^2}}","Not used",1,"((c + d*x)^(1/6)*((36*b^2*x^2*(a + b*x)^(5/6))/(187*d^2*(a*d - b*c)^2) - ((66*a^2*d - 102*a*b*c)*(a + b*x)^(5/6))/(187*d^3*(a*d - b*c)^2) + (x*(102*b^2*c - 30*a*b*d)*(a + b*x)^(5/6))/(187*d^3*(a*d - b*c)^2)))/(x^3 + c^3/d^3 + (3*c*x^2)/d + (3*c^2*x)/d^2)","B"
1784,1,214,101,0.944014,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(29/6),x)","-\frac{{\left(c+d\,x\right)}^{1/6}\,\left(\frac{{\left(a+b\,x\right)}^{5/6}\,\left(1122\,a^3\,d^2-3036\,a^2\,b\,c\,d+2346\,a\,b^2\,c^2\right)}{4301\,d^4\,{\left(a\,d-b\,c\right)}^3}+\frac{432\,b^3\,x^3\,{\left(a+b\,x\right)}^{5/6}}{4301\,d^2\,{\left(a\,d-b\,c\right)}^3}+\frac{x\,{\left(a+b\,x\right)}^{5/6}\,\left(330\,a^2\,b\,d^2-1380\,a\,b^2\,c\,d+2346\,b^3\,c^2\right)}{4301\,d^4\,{\left(a\,d-b\,c\right)}^3}-\frac{72\,b^2\,x^2\,\left(5\,a\,d-23\,b\,c\right)\,{\left(a+b\,x\right)}^{5/6}}{4301\,d^3\,{\left(a\,d-b\,c\right)}^3}\right)}{x^4+\frac{c^4}{d^4}+\frac{4\,c\,x^3}{d}+\frac{4\,c^3\,x}{d^3}+\frac{6\,c^2\,x^2}{d^2}}","Not used",1,"-((c + d*x)^(1/6)*(((a + b*x)^(5/6)*(1122*a^3*d^2 + 2346*a*b^2*c^2 - 3036*a^2*b*c*d))/(4301*d^4*(a*d - b*c)^3) + (432*b^3*x^3*(a + b*x)^(5/6))/(4301*d^2*(a*d - b*c)^3) + (x*(a + b*x)^(5/6)*(2346*b^3*c^2 + 330*a^2*b*d^2 - 1380*a*b^2*c*d))/(4301*d^4*(a*d - b*c)^3) - (72*b^2*x^2*(5*a*d - 23*b*c)*(a + b*x)^(5/6))/(4301*d^3*(a*d - b*c)^3)))/(x^4 + c^4/d^4 + (4*c*x^3)/d + (4*c^3*x)/d^3 + (6*c^2*x^2)/d^2)","B"
1785,1,303,136,1.157905,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(35/6),x)","\frac{{\left(c+d\,x\right)}^{1/6}\,\left(\frac{7776\,b^4\,x^4\,{\left(a+b\,x\right)}^{5/6}}{124729\,d^2\,{\left(a\,d-b\,c\right)}^4}-\frac{{\left(a+b\,x\right)}^{5/6}\,\left(25806\,a^4\,d^3-97614\,a^3\,b\,c\,d^2+132066\,a^2\,b^2\,c^2\,d-68034\,a\,b^3\,c^3\right)}{124729\,d^5\,{\left(a\,d-b\,c\right)}^4}+\frac{x\,{\left(a+b\,x\right)}^{5/6}\,\left(-5610\,a^3\,b\,d^3+28710\,a^2\,b^2\,c\,d^2-60030\,a\,b^3\,c^2\,d+68034\,b^4\,c^3\right)}{124729\,d^5\,{\left(a\,d-b\,c\right)}^4}+\frac{108\,b^2\,x^2\,{\left(a+b\,x\right)}^{5/6}\,\left(55\,a^2\,d^2-290\,a\,b\,c\,d+667\,b^2\,c^2\right)}{124729\,d^4\,{\left(a\,d-b\,c\right)}^4}-\frac{1296\,b^3\,x^3\,\left(5\,a\,d-29\,b\,c\right)\,{\left(a+b\,x\right)}^{5/6}}{124729\,d^3\,{\left(a\,d-b\,c\right)}^4}\right)}{x^5+\frac{c^5}{d^5}+\frac{5\,c\,x^4}{d}+\frac{5\,c^4\,x}{d^4}+\frac{10\,c^2\,x^3}{d^2}+\frac{10\,c^3\,x^2}{d^3}}","Not used",1,"((c + d*x)^(1/6)*((7776*b^4*x^4*(a + b*x)^(5/6))/(124729*d^2*(a*d - b*c)^4) - ((a + b*x)^(5/6)*(25806*a^4*d^3 - 68034*a*b^3*c^3 + 132066*a^2*b^2*c^2*d - 97614*a^3*b*c*d^2))/(124729*d^5*(a*d - b*c)^4) + (x*(a + b*x)^(5/6)*(68034*b^4*c^3 - 5610*a^3*b*d^3 + 28710*a^2*b^2*c*d^2 - 60030*a*b^3*c^2*d))/(124729*d^5*(a*d - b*c)^4) + (108*b^2*x^2*(a + b*x)^(5/6)*(55*a^2*d^2 + 667*b^2*c^2 - 290*a*b*c*d))/(124729*d^4*(a*d - b*c)^4) - (1296*b^3*x^3*(5*a*d - 29*b*c)*(a + b*x)^(5/6))/(124729*d^3*(a*d - b*c)^4)))/(x^5 + c^5/d^5 + (5*c*x^4)/d + (5*c^4*x)/d^4 + (10*c^2*x^3)/d^2 + (10*c^3*x^2)/d^3)","B"
1786,0,-1,82,0.000000,"\text{Not used}","int((a + b*x)^(5/6)*(c + d*x)^(11/6),x)","\int {\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{11/6} \,d x","Not used",1,"int((a + b*x)^(5/6)*(c + d*x)^(11/6), x)","F"
1787,0,-1,74,0.000000,"\text{Not used}","int((a + b*x)^(5/6)*(c + d*x)^(5/6),x)","\int {\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{5/6} \,d x","Not used",1,"int((a + b*x)^(5/6)*(c + d*x)^(5/6), x)","F"
1788,0,-1,74,0.000000,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(1/6),x)","\int \frac{{\left(a+b\,x\right)}^{5/6}}{{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int((a + b*x)^(5/6)/(c + d*x)^(1/6), x)","F"
1789,0,-1,81,0.000000,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(7/6),x)","\int \frac{{\left(a+b\,x\right)}^{5/6}}{{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int((a + b*x)^(5/6)/(c + d*x)^(7/6), x)","F"
1790,0,-1,82,0.000000,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(13/6),x)","\int \frac{{\left(a+b\,x\right)}^{5/6}}{{\left(c+d\,x\right)}^{13/6}} \,d x","Not used",1,"int((a + b*x)^(5/6)/(c + d*x)^(13/6), x)","F"
1791,0,-1,84,0.000000,"\text{Not used}","int((a + b*x)^(5/6)/(c + d*x)^(19/6),x)","\int \frac{{\left(a+b\,x\right)}^{5/6}}{{\left(c+d\,x\right)}^{19/6}} \,d x","Not used",1,"int((a + b*x)^(5/6)/(c + d*x)^(19/6), x)","F"
1792,0,-1,84,0.000000,"\text{Not used}","int((a + b*x)^(7/6)*(c + d*x)^(13/6),x)","\int {\left(a+b\,x\right)}^{7/6}\,{\left(c+d\,x\right)}^{13/6} \,d x","Not used",1,"int((a + b*x)^(7/6)*(c + d*x)^(13/6), x)","F"
1793,0,-1,82,0.000000,"\text{Not used}","int((a + b*x)^(7/6)*(c + d*x)^(7/6),x)","\int {\left(a+b\,x\right)}^{7/6}\,{\left(c+d\,x\right)}^{7/6} \,d x","Not used",1,"int((a + b*x)^(7/6)*(c + d*x)^(7/6), x)","F"
1794,0,-1,74,0.000000,"\text{Not used}","int((a + b*x)^(7/6)*(c + d*x)^(1/6),x)","\int {\left(a+b\,x\right)}^{7/6}\,{\left(c+d\,x\right)}^{1/6} \,d x","Not used",1,"int((a + b*x)^(7/6)*(c + d*x)^(1/6), x)","F"
1795,0,-1,74,0.000000,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(5/6),x)","\int \frac{{\left(a+b\,x\right)}^{7/6}}{{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int((a + b*x)^(7/6)/(c + d*x)^(5/6), x)","F"
1796,0,-1,81,0.000000,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(11/6),x)","\int \frac{{\left(a+b\,x\right)}^{7/6}}{{\left(c+d\,x\right)}^{11/6}} \,d x","Not used",1,"int((a + b*x)^(7/6)/(c + d*x)^(11/6), x)","F"
1797,0,-1,82,0.000000,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(17/6),x)","\int \frac{{\left(a+b\,x\right)}^{7/6}}{{\left(c+d\,x\right)}^{17/6}} \,d x","Not used",1,"int((a + b*x)^(7/6)/(c + d*x)^(17/6), x)","F"
1798,0,-1,424,0.000000,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(1/6),x)","\int \frac{{\left(a+b\,x\right)}^{7/6}}{{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int((a + b*x)^(7/6)/(c + d*x)^(1/6), x)","F"
1799,0,-1,403,0.000000,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(7/6),x)","\int \frac{{\left(a+b\,x\right)}^{7/6}}{{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int((a + b*x)^(7/6)/(c + d*x)^(7/6), x)","F"
1800,0,-1,358,0.000000,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(13/6),x)","\int \frac{{\left(a+b\,x\right)}^{7/6}}{{\left(c+d\,x\right)}^{13/6}} \,d x","Not used",1,"int((a + b*x)^(7/6)/(c + d*x)^(13/6), x)","F"
1801,1,199,32,0.755923,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(19/6),x)","-\frac{{\left(c+d\,x\right)}^{5/6}\,\left(\frac{6\,a^2\,{\left(a+b\,x\right)}^{1/6}}{13\,a\,d^4-13\,b\,c\,d^3}+\frac{6\,b^2\,x^2\,{\left(a+b\,x\right)}^{1/6}}{13\,a\,d^4-13\,b\,c\,d^3}+\frac{12\,a\,b\,x\,{\left(a+b\,x\right)}^{1/6}}{13\,a\,d^4-13\,b\,c\,d^3}\right)}{x^3-\frac{13\,b\,c^4-13\,a\,c^3\,d}{13\,a\,d^4-13\,b\,c\,d^3}+\frac{39\,c\,d^2\,x^2\,\left(a\,d-b\,c\right)}{13\,a\,d^4-13\,b\,c\,d^3}+\frac{39\,c^2\,d\,x\,\left(a\,d-b\,c\right)}{13\,a\,d^4-13\,b\,c\,d^3}}","Not used",1,"-((c + d*x)^(5/6)*((6*a^2*(a + b*x)^(1/6))/(13*a*d^4 - 13*b*c*d^3) + (6*b^2*x^2*(a + b*x)^(1/6))/(13*a*d^4 - 13*b*c*d^3) + (12*a*b*x*(a + b*x)^(1/6))/(13*a*d^4 - 13*b*c*d^3)))/(x^3 - (13*b*c^4 - 13*a*c^3*d)/(13*a*d^4 - 13*b*c*d^3) + (39*c*d^2*x^2*(a*d - b*c))/(13*a*d^4 - 13*b*c*d^3) + (39*c^2*d*x*(a*d - b*c))/(13*a*d^4 - 13*b*c*d^3))","B"
1802,1,189,66,0.907437,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(25/6),x)","-\frac{{\left(c+d\,x\right)}^{5/6}\,\left(\frac{\left(78\,a^3\,d-114\,a^2\,b\,c\right)\,{\left(a+b\,x\right)}^{1/6}}{247\,d^4\,{\left(a\,d-b\,c\right)}^2}-\frac{36\,b^3\,x^3\,{\left(a+b\,x\right)}^{1/6}}{247\,d^3\,{\left(a\,d-b\,c\right)}^2}-\frac{x^2\,\left(114\,b^3\,c-6\,a\,b^2\,d\right)\,{\left(a+b\,x\right)}^{1/6}}{247\,d^4\,{\left(a\,d-b\,c\right)}^2}+\frac{12\,a\,b\,x\,\left(10\,a\,d-19\,b\,c\right)\,{\left(a+b\,x\right)}^{1/6}}{247\,d^4\,{\left(a\,d-b\,c\right)}^2}\right)}{x^4+\frac{c^4}{d^4}+\frac{4\,c\,x^3}{d}+\frac{4\,c^3\,x}{d^3}+\frac{6\,c^2\,x^2}{d^2}}","Not used",1,"-((c + d*x)^(5/6)*(((78*a^3*d - 114*a^2*b*c)*(a + b*x)^(1/6))/(247*d^4*(a*d - b*c)^2) - (36*b^3*x^3*(a + b*x)^(1/6))/(247*d^3*(a*d - b*c)^2) - (x^2*(114*b^3*c - 6*a*b^2*d)*(a + b*x)^(1/6))/(247*d^4*(a*d - b*c)^2) + (12*a*b*x*(10*a*d - 19*b*c)*(a + b*x)^(1/6))/(247*d^4*(a*d - b*c)^2)))/(x^4 + c^4/d^4 + (4*c*x^3)/d + (4*c^3*x)/d^3 + (6*c^2*x^2)/d^2)","B"
1803,1,278,101,1.143968,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(31/6),x)","-\frac{{\left(c+d\,x\right)}^{5/6}\,\left(\frac{{\left(a+b\,x\right)}^{1/6}\,\left(1482\,a^4\,d^2-3900\,a^3\,b\,c\,d+2850\,a^2\,b^2\,c^2\right)}{6175\,d^5\,{\left(a\,d-b\,c\right)}^3}+\frac{432\,b^4\,x^4\,{\left(a+b\,x\right)}^{1/6}}{6175\,d^3\,{\left(a\,d-b\,c\right)}^3}+\frac{x^2\,{\left(a+b\,x\right)}^{1/6}\,\left(42\,a^2\,b^2\,d^2-300\,a\,b^3\,c\,d+2850\,b^4\,c^2\right)}{6175\,d^5\,{\left(a\,d-b\,c\right)}^3}-\frac{72\,b^3\,x^3\,\left(a\,d-25\,b\,c\right)\,{\left(a+b\,x\right)}^{1/6}}{6175\,d^4\,{\left(a\,d-b\,c\right)}^3}+\frac{12\,a\,b\,x\,{\left(a+b\,x\right)}^{1/6}\,\left(169\,a^2\,d^2-500\,a\,b\,c\,d+475\,b^2\,c^2\right)}{6175\,d^5\,{\left(a\,d-b\,c\right)}^3}\right)}{x^5+\frac{c^5}{d^5}+\frac{5\,c\,x^4}{d}+\frac{5\,c^4\,x}{d^4}+\frac{10\,c^2\,x^3}{d^2}+\frac{10\,c^3\,x^2}{d^3}}","Not used",1,"-((c + d*x)^(5/6)*(((a + b*x)^(1/6)*(1482*a^4*d^2 + 2850*a^2*b^2*c^2 - 3900*a^3*b*c*d))/(6175*d^5*(a*d - b*c)^3) + (432*b^4*x^4*(a + b*x)^(1/6))/(6175*d^3*(a*d - b*c)^3) + (x^2*(a + b*x)^(1/6)*(2850*b^4*c^2 + 42*a^2*b^2*d^2 - 300*a*b^3*c*d))/(6175*d^5*(a*d - b*c)^3) - (72*b^3*x^3*(a*d - 25*b*c)*(a + b*x)^(1/6))/(6175*d^4*(a*d - b*c)^3) + (12*a*b*x*(a + b*x)^(1/6)*(169*a^2*d^2 + 475*b^2*c^2 - 500*a*b*c*d))/(6175*d^5*(a*d - b*c)^3)))/(x^5 + c^5/d^5 + (5*c*x^4)/d + (5*c^4*x)/d^4 + (10*c^2*x^3)/d^2 + (10*c^3*x^2)/d^3)","B"
1804,1,385,136,1.429498,"\text{Not used}","int((a + b*x)^(7/6)/(c + d*x)^(37/6),x)","\frac{{\left(c+d\,x\right)}^{5/6}\,\left(\frac{7776\,b^5\,x^5\,{\left(a+b\,x\right)}^{1/6}}{191425\,d^3\,{\left(a\,d-b\,c\right)}^4}-\frac{{\left(a+b\,x\right)}^{1/6}\,\left(37050\,a^5\,d^3-137826\,a^4\,b\,c\,d^2+181350\,a^3\,b^2\,c^2\,d-88350\,a^2\,b^3\,c^3\right)}{191425\,d^6\,{\left(a\,d-b\,c\right)}^4}+\frac{x^2\,{\left(a+b\,x\right)}^{1/6}\,\left(-546\,a^3\,b^2\,d^3+3906\,a^2\,b^3\,c\,d^2-13950\,a\,b^4\,c^2\,d+88350\,b^5\,c^3\right)}{191425\,d^6\,{\left(a\,d-b\,c\right)}^4}+\frac{x\,{\left(a+b\,x\right)}^{1/6}\,\left(-47424\,a^4\,b\,d^3+188604\,a^3\,b^2\,c\,d^2-279000\,a^2\,b^3\,c^2\,d+176700\,a\,b^4\,c^3\right)}{191425\,d^6\,{\left(a\,d-b\,c\right)}^4}+\frac{108\,b^3\,x^3\,{\left(a+b\,x\right)}^{1/6}\,\left(7\,a^2\,d^2-62\,a\,b\,c\,d+775\,b^2\,c^2\right)}{191425\,d^5\,{\left(a\,d-b\,c\right)}^4}-\frac{1296\,b^4\,x^4\,\left(a\,d-31\,b\,c\right)\,{\left(a+b\,x\right)}^{1/6}}{191425\,d^4\,{\left(a\,d-b\,c\right)}^4}\right)}{x^6+\frac{c^6}{d^6}+\frac{6\,c\,x^5}{d}+\frac{6\,c^5\,x}{d^5}+\frac{15\,c^2\,x^4}{d^2}+\frac{20\,c^3\,x^3}{d^3}+\frac{15\,c^4\,x^2}{d^4}}","Not used",1,"((c + d*x)^(5/6)*((7776*b^5*x^5*(a + b*x)^(1/6))/(191425*d^3*(a*d - b*c)^4) - ((a + b*x)^(1/6)*(37050*a^5*d^3 - 88350*a^2*b^3*c^3 + 181350*a^3*b^2*c^2*d - 137826*a^4*b*c*d^2))/(191425*d^6*(a*d - b*c)^4) + (x^2*(a + b*x)^(1/6)*(88350*b^5*c^3 - 546*a^3*b^2*d^3 + 3906*a^2*b^3*c*d^2 - 13950*a*b^4*c^2*d))/(191425*d^6*(a*d - b*c)^4) + (x*(a + b*x)^(1/6)*(176700*a*b^4*c^3 - 47424*a^4*b*d^3 - 279000*a^2*b^3*c^2*d + 188604*a^3*b^2*c*d^2))/(191425*d^6*(a*d - b*c)^4) + (108*b^3*x^3*(a + b*x)^(1/6)*(7*a^2*d^2 + 775*b^2*c^2 - 62*a*b*c*d))/(191425*d^5*(a*d - b*c)^4) - (1296*b^4*x^4*(a*d - 31*b*c)*(a + b*x)^(1/6))/(191425*d^4*(a*d - b*c)^4)))/(x^6 + c^6/d^6 + (6*c*x^5)/d + (6*c^5*x)/d^5 + (15*c^2*x^4)/d^2 + (20*c^3*x^3)/d^3 + (15*c^4*x^2)/d^4)","B"
1805,0,-1,424,0.000000,"\text{Not used}","int((c + d*x)^(7/6)/(a + b*x)^(1/6),x)","\int \frac{{\left(c+d\,x\right)}^{7/6}}{{\left(a+b\,x\right)}^{1/6}} \,d x","Not used",1,"int((c + d*x)^(7/6)/(a + b*x)^(1/6), x)","F"
1806,0,-1,378,0.000000,"\text{Not used}","int((c + d*x)^(1/6)/(a + b*x)^(1/6),x)","\int \frac{{\left(c+d\,x\right)}^{1/6}}{{\left(a+b\,x\right)}^{1/6}} \,d x","Not used",1,"int((c + d*x)^(1/6)/(a + b*x)^(1/6), x)","F"
1807,0,-1,309,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/6)*(c + d*x)^(5/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/6}\,{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int(1/((a + b*x)^(1/6)*(c + d*x)^(5/6)), x)","F"
1808,1,27,32,0.763368,"\text{Not used}","int(1/((a + b*x)^(1/6)*(c + d*x)^(11/6)),x)","-\frac{6\,{\left(a+b\,x\right)}^{5/6}}{\left(5\,a\,d-5\,b\,c\right)\,{\left(c+d\,x\right)}^{5/6}}","Not used",1,"-(6*(a + b*x)^(5/6))/((5*a*d - 5*b*c)*(c + d*x)^(5/6))","B"
1809,1,127,66,0.860244,"\text{Not used}","int(1/((a + b*x)^(1/6)*(c + d*x)^(17/6)),x)","\frac{{\left(c+d\,x\right)}^{1/6}\,\left(\frac{x\,\left(66\,c\,b^2+6\,a\,d\,b\right)}{55\,d^2\,{\left(a\,d-b\,c\right)}^2}-\frac{30\,a^2\,d-66\,a\,b\,c}{55\,d^2\,{\left(a\,d-b\,c\right)}^2}+\frac{36\,b^2\,x^2}{55\,d\,{\left(a\,d-b\,c\right)}^2}\right)}{x^2\,{\left(a+b\,x\right)}^{1/6}+\frac{c^2\,{\left(a+b\,x\right)}^{1/6}}{d^2}+\frac{2\,c\,x\,{\left(a+b\,x\right)}^{1/6}}{d}}","Not used",1,"((c + d*x)^(1/6)*((x*(66*b^2*c + 6*a*b*d))/(55*d^2*(a*d - b*c)^2) - (30*a^2*d - 66*a*b*c)/(55*d^2*(a*d - b*c)^2) + (36*b^2*x^2)/(55*d*(a*d - b*c)^2)))/(x^2*(a + b*x)^(1/6) + (c^2*(a + b*x)^(1/6))/d^2 + (2*c*x*(a + b*x)^(1/6))/d)","B"
1810,1,203,101,1.033388,"\text{Not used}","int(1/((a + b*x)^(1/6)*(c + d*x)^(23/6)),x)","-\frac{{\left(c+d\,x\right)}^{1/6}\,\left(\frac{330\,a^3\,d^2-1020\,a^2\,b\,c\,d+1122\,a\,b^2\,c^2}{935\,d^3\,{\left(a\,d-b\,c\right)}^3}+\frac{x\,\left(-30\,a^2\,b\,d^2+204\,a\,b^2\,c\,d+1122\,b^3\,c^2\right)}{935\,d^3\,{\left(a\,d-b\,c\right)}^3}+\frac{432\,b^3\,x^3}{935\,d\,{\left(a\,d-b\,c\right)}^3}+\frac{72\,b^2\,x^2\,\left(a\,d+17\,b\,c\right)}{935\,d^2\,{\left(a\,d-b\,c\right)}^3}\right)}{x^3\,{\left(a+b\,x\right)}^{1/6}+\frac{c^3\,{\left(a+b\,x\right)}^{1/6}}{d^3}+\frac{3\,c\,x^2\,{\left(a+b\,x\right)}^{1/6}}{d}+\frac{3\,c^2\,x\,{\left(a+b\,x\right)}^{1/6}}{d^2}}","Not used",1,"-((c + d*x)^(1/6)*((330*a^3*d^2 + 1122*a*b^2*c^2 - 1020*a^2*b*c*d)/(935*d^3*(a*d - b*c)^3) + (x*(1122*b^3*c^2 - 30*a^2*b*d^2 + 204*a*b^2*c*d))/(935*d^3*(a*d - b*c)^3) + (432*b^3*x^3)/(935*d*(a*d - b*c)^3) + (72*b^2*x^2*(a*d + 17*b*c))/(935*d^2*(a*d - b*c)^3)))/(x^3*(a + b*x)^(1/6) + (c^3*(a + b*x)^(1/6))/d^3 + (3*c*x^2*(a + b*x)^(1/6))/d + (3*c^2*x*(a + b*x)^(1/6))/d^2)","B"
1811,1,292,136,1.200219,"\text{Not used}","int(1/((a + b*x)^(1/6)*(c + d*x)^(29/6)),x)","\frac{{\left(c+d\,x\right)}^{1/6}\,\left(\frac{7776\,b^4\,x^4}{21505\,d\,{\left(a\,d-b\,c\right)}^4}-\frac{5610\,a^4\,d^3-22770\,a^3\,b\,c\,d^2+35190\,a^2\,b^2\,c^2\,d-25806\,a\,b^3\,c^3}{21505\,d^4\,{\left(a\,d-b\,c\right)}^4}+\frac{x\,\left(330\,a^3\,b\,d^3-2070\,a^2\,b^2\,c\,d^2+7038\,a\,b^3\,c^2\,d+25806\,b^4\,c^3\right)}{21505\,d^4\,{\left(a\,d-b\,c\right)}^4}+\frac{1296\,b^3\,x^3\,\left(a\,d+23\,b\,c\right)}{21505\,d^2\,{\left(a\,d-b\,c\right)}^4}+\frac{108\,b^2\,x^2\,\left(-5\,a^2\,d^2+46\,a\,b\,c\,d+391\,b^2\,c^2\right)}{21505\,d^3\,{\left(a\,d-b\,c\right)}^4}\right)}{x^4\,{\left(a+b\,x\right)}^{1/6}+\frac{c^4\,{\left(a+b\,x\right)}^{1/6}}{d^4}+\frac{6\,c^2\,x^2\,{\left(a+b\,x\right)}^{1/6}}{d^2}+\frac{4\,c\,x^3\,{\left(a+b\,x\right)}^{1/6}}{d}+\frac{4\,c^3\,x\,{\left(a+b\,x\right)}^{1/6}}{d^3}}","Not used",1,"((c + d*x)^(1/6)*((7776*b^4*x^4)/(21505*d*(a*d - b*c)^4) - (5610*a^4*d^3 - 25806*a*b^3*c^3 + 35190*a^2*b^2*c^2*d - 22770*a^3*b*c*d^2)/(21505*d^4*(a*d - b*c)^4) + (x*(25806*b^4*c^3 + 330*a^3*b*d^3 - 2070*a^2*b^2*c*d^2 + 7038*a*b^3*c^2*d))/(21505*d^4*(a*d - b*c)^4) + (1296*b^3*x^3*(a*d + 23*b*c))/(21505*d^2*(a*d - b*c)^4) + (108*b^2*x^2*(391*b^2*c^2 - 5*a^2*d^2 + 46*a*b*c*d))/(21505*d^3*(a*d - b*c)^4)))/(x^4*(a + b*x)^(1/6) + (c^4*(a + b*x)^(1/6))/d^4 + (6*c^2*x^2*(a + b*x)^(1/6))/d^2 + (4*c*x^3*(a + b*x)^(1/6))/d + (4*c^3*x*(a + b*x)^(1/6))/d^3)","B"
1812,0,-1,82,0.000000,"\text{Not used}","int((c + d*x)^(11/6)/(a + b*x)^(1/6),x)","\int \frac{{\left(c+d\,x\right)}^{11/6}}{{\left(a+b\,x\right)}^{1/6}} \,d x","Not used",1,"int((c + d*x)^(11/6)/(a + b*x)^(1/6), x)","F"
1813,0,-1,74,0.000000,"\text{Not used}","int((c + d*x)^(5/6)/(a + b*x)^(1/6),x)","\int \frac{{\left(c+d\,x\right)}^{5/6}}{{\left(a+b\,x\right)}^{1/6}} \,d x","Not used",1,"int((c + d*x)^(5/6)/(a + b*x)^(1/6), x)","F"
1814,0,-1,74,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/6)*(c + d*x)^(1/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/6}\,{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int(1/((a + b*x)^(1/6)*(c + d*x)^(1/6)), x)","F"
1815,0,-1,81,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/6)*(c + d*x)^(7/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/6}\,{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int(1/((a + b*x)^(1/6)*(c + d*x)^(7/6)), x)","F"
1816,0,-1,82,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/6)*(c + d*x)^(13/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/6}\,{\left(c+d\,x\right)}^{13/6}} \,d x","Not used",1,"int(1/((a + b*x)^(1/6)*(c + d*x)^(13/6)), x)","F"
1817,0,-1,84,0.000000,"\text{Not used}","int(1/((a + b*x)^(1/6)*(c + d*x)^(19/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{1/6}\,{\left(c+d\,x\right)}^{19/6}} \,d x","Not used",1,"int(1/((a + b*x)^(1/6)*(c + d*x)^(19/6)), x)","F"
1818,0,-1,82,0.000000,"\text{Not used}","int((c + d*x)^(13/6)/(a + b*x)^(5/6),x)","\int \frac{{\left(c+d\,x\right)}^{13/6}}{{\left(a+b\,x\right)}^{5/6}} \,d x","Not used",1,"int((c + d*x)^(13/6)/(a + b*x)^(5/6), x)","F"
1819,0,-1,80,0.000000,"\text{Not used}","int((c + d*x)^(7/6)/(a + b*x)^(5/6),x)","\int \frac{{\left(c+d\,x\right)}^{7/6}}{{\left(a+b\,x\right)}^{5/6}} \,d x","Not used",1,"int((c + d*x)^(7/6)/(a + b*x)^(5/6), x)","F"
1820,0,-1,72,0.000000,"\text{Not used}","int((c + d*x)^(1/6)/(a + b*x)^(5/6),x)","\int \frac{{\left(c+d\,x\right)}^{1/6}}{{\left(a+b\,x\right)}^{5/6}} \,d x","Not used",1,"int((c + d*x)^(1/6)/(a + b*x)^(5/6), x)","F"
1821,0,-1,72,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/6)*(c + d*x)^(5/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{5/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/6)*(c + d*x)^(5/6)), x)","F"
1822,0,-1,79,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/6)*(c + d*x)^(11/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{11/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/6)*(c + d*x)^(11/6)), x)","F"
1823,0,-1,80,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/6)*(c + d*x)^(17/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{17/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/6)*(c + d*x)^(17/6)), x)","F"
1824,0,-1,424,0.000000,"\text{Not used}","int((c + d*x)^(11/6)/(a + b*x)^(5/6),x)","\int \frac{{\left(c+d\,x\right)}^{11/6}}{{\left(a+b\,x\right)}^{5/6}} \,d x","Not used",1,"int((c + d*x)^(11/6)/(a + b*x)^(5/6), x)","F"
1825,0,-1,378,0.000000,"\text{Not used}","int((c + d*x)^(5/6)/(a + b*x)^(5/6),x)","\int \frac{{\left(c+d\,x\right)}^{5/6}}{{\left(a+b\,x\right)}^{5/6}} \,d x","Not used",1,"int((c + d*x)^(5/6)/(a + b*x)^(5/6), x)","F"
1826,0,-1,309,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/6)*(c + d*x)^(1/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/6)*(c + d*x)^(1/6)), x)","F"
1827,0,-1,30,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/6)*(c + d*x)^(7/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/6)*(c + d*x)^(7/6)), x)","F"
1828,0,-1,66,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/6)*(c + d*x)^(13/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{13/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/6)*(c + d*x)^(13/6)), x)","F"
1829,0,-1,101,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/6)*(c + d*x)^(19/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{19/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/6)*(c + d*x)^(19/6)), x)","F"
1830,0,-1,136,0.000000,"\text{Not used}","int(1/((a + b*x)^(5/6)*(c + d*x)^(25/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{5/6}\,{\left(c+d\,x\right)}^{25/6}} \,d x","Not used",1,"int(1/((a + b*x)^(5/6)*(c + d*x)^(25/6)), x)","F"
1831,0,-1,449,0.000000,"\text{Not used}","int((c + d*x)^(13/6)/(a + b*x)^(7/6),x)","\int \frac{{\left(c+d\,x\right)}^{13/6}}{{\left(a+b\,x\right)}^{7/6}} \,d x","Not used",1,"int((c + d*x)^(13/6)/(a + b*x)^(7/6), x)","F"
1832,0,-1,403,0.000000,"\text{Not used}","int((c + d*x)^(7/6)/(a + b*x)^(7/6),x)","\int \frac{{\left(c+d\,x\right)}^{7/6}}{{\left(a+b\,x\right)}^{7/6}} \,d x","Not used",1,"int((c + d*x)^(7/6)/(a + b*x)^(7/6), x)","F"
1833,0,-1,332,0.000000,"\text{Not used}","int((c + d*x)^(1/6)/(a + b*x)^(7/6),x)","\int \frac{{\left(c+d\,x\right)}^{1/6}}{{\left(a+b\,x\right)}^{7/6}} \,d x","Not used",1,"int((c + d*x)^(1/6)/(a + b*x)^(7/6), x)","F"
1834,1,26,30,0.679984,"\text{Not used}","int(1/((a + b*x)^(7/6)*(c + d*x)^(5/6)),x)","\frac{6\,{\left(c+d\,x\right)}^{1/6}}{\left(a\,d-b\,c\right)\,{\left(a+b\,x\right)}^{1/6}}","Not used",1,"(6*(c + d*x)^(1/6))/((a*d - b*c)*(a + b*x)^(1/6))","B"
1835,1,72,64,0.834362,"\text{Not used}","int(1/((a + b*x)^(7/6)*(c + d*x)^(11/6)),x)","-\frac{\left(\frac{36\,b\,x}{5\,{\left(a\,d-b\,c\right)}^2}+\frac{6\,a\,d+30\,b\,c}{5\,d\,{\left(a\,d-b\,c\right)}^2}\right)\,{\left(c+d\,x\right)}^{1/6}}{x\,{\left(a+b\,x\right)}^{1/6}+\frac{c\,{\left(a+b\,x\right)}^{1/6}}{d}}","Not used",1,"-(((36*b*x)/(5*(a*d - b*c)^2) + (6*a*d + 30*b*c)/(5*d*(a*d - b*c)^2))*(c + d*x)^(1/6))/(x*(a + b*x)^(1/6) + (c*(a + b*x)^(1/6))/d)","B"
1836,1,132,98,0.959601,"\text{Not used}","int(1/((a + b*x)^(7/6)*(c + d*x)^(17/6)),x)","\frac{{\left(c+d\,x\right)}^{1/6}\,\left(\frac{432\,b^2\,x^2}{55\,{\left(a\,d-b\,c\right)}^3}+\frac{-30\,a^2\,d^2+132\,a\,b\,c\,d+330\,b^2\,c^2}{55\,d^2\,{\left(a\,d-b\,c\right)}^3}+\frac{72\,b\,x\,\left(a\,d+11\,b\,c\right)}{55\,d\,{\left(a\,d-b\,c\right)}^3}\right)}{x^2\,{\left(a+b\,x\right)}^{1/6}+\frac{c^2\,{\left(a+b\,x\right)}^{1/6}}{d^2}+\frac{2\,c\,x\,{\left(a+b\,x\right)}^{1/6}}{d}}","Not used",1,"((c + d*x)^(1/6)*((432*b^2*x^2)/(55*(a*d - b*c)^3) + (330*b^2*c^2 - 30*a^2*d^2 + 132*a*b*c*d)/(55*d^2*(a*d - b*c)^3) + (72*b*x*(a*d + 11*b*c))/(55*d*(a*d - b*c)^3)))/(x^2*(a + b*x)^(1/6) + (c^2*(a + b*x)^(1/6))/d^2 + (2*c*x*(a + b*x)^(1/6))/d)","B"
1837,1,209,134,1.146371,"\text{Not used}","int(1/((a + b*x)^(7/6)*(c + d*x)^(23/6)),x)","-\frac{{\left(c+d\,x\right)}^{1/6}\,\left(\frac{7776\,b^3\,x^3}{935\,{\left(a\,d-b\,c\right)}^4}+\frac{330\,a^3\,d^3-1530\,a^2\,b\,c\,d^2+3366\,a\,b^2\,c^2\,d+5610\,b^3\,c^3}{935\,d^3\,{\left(a\,d-b\,c\right)}^4}+\frac{108\,b\,x\,\left(-5\,a^2\,d^2+34\,a\,b\,c\,d+187\,b^2\,c^2\right)}{935\,d^2\,{\left(a\,d-b\,c\right)}^4}+\frac{1296\,b^2\,x^2\,\left(a\,d+17\,b\,c\right)}{935\,d\,{\left(a\,d-b\,c\right)}^4}\right)}{x^3\,{\left(a+b\,x\right)}^{1/6}+\frac{c^3\,{\left(a+b\,x\right)}^{1/6}}{d^3}+\frac{3\,c\,x^2\,{\left(a+b\,x\right)}^{1/6}}{d}+\frac{3\,c^2\,x\,{\left(a+b\,x\right)}^{1/6}}{d^2}}","Not used",1,"-((c + d*x)^(1/6)*((7776*b^3*x^3)/(935*(a*d - b*c)^4) + (330*a^3*d^3 + 5610*b^3*c^3 + 3366*a*b^2*c^2*d - 1530*a^2*b*c*d^2)/(935*d^3*(a*d - b*c)^4) + (108*b*x*(187*b^2*c^2 - 5*a^2*d^2 + 34*a*b*c*d))/(935*d^2*(a*d - b*c)^4) + (1296*b^2*x^2*(a*d + 17*b*c))/(935*d*(a*d - b*c)^4)))/(x^3*(a + b*x)^(1/6) + (c^3*(a + b*x)^(1/6))/d^3 + (3*c*x^2*(a + b*x)^(1/6))/d + (3*c^2*x*(a + b*x)^(1/6))/d^2)","B"
1838,0,-1,80,0.000000,"\text{Not used}","int((c + d*x)^(11/6)/(a + b*x)^(7/6),x)","\int \frac{{\left(c+d\,x\right)}^{11/6}}{{\left(a+b\,x\right)}^{7/6}} \,d x","Not used",1,"int((c + d*x)^(11/6)/(a + b*x)^(7/6), x)","F"
1839,0,-1,72,0.000000,"\text{Not used}","int((c + d*x)^(5/6)/(a + b*x)^(7/6),x)","\int \frac{{\left(c+d\,x\right)}^{5/6}}{{\left(a+b\,x\right)}^{7/6}} \,d x","Not used",1,"int((c + d*x)^(5/6)/(a + b*x)^(7/6), x)","F"
1840,0,-1,72,0.000000,"\text{Not used}","int(1/((a + b*x)^(7/6)*(c + d*x)^(1/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{7/6}\,{\left(c+d\,x\right)}^{1/6}} \,d x","Not used",1,"int(1/((a + b*x)^(7/6)*(c + d*x)^(1/6)), x)","F"
1841,0,-1,79,0.000000,"\text{Not used}","int(1/((a + b*x)^(7/6)*(c + d*x)^(7/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{7/6}\,{\left(c+d\,x\right)}^{7/6}} \,d x","Not used",1,"int(1/((a + b*x)^(7/6)*(c + d*x)^(7/6)), x)","F"
1842,0,-1,80,0.000000,"\text{Not used}","int(1/((a + b*x)^(7/6)*(c + d*x)^(13/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{7/6}\,{\left(c+d\,x\right)}^{13/6}} \,d x","Not used",1,"int(1/((a + b*x)^(7/6)*(c + d*x)^(13/6)), x)","F"
1843,0,-1,82,0.000000,"\text{Not used}","int(1/((a + b*x)^(7/6)*(c + d*x)^(19/6)),x)","\int \frac{1}{{\left(a+b\,x\right)}^{7/6}\,{\left(c+d\,x\right)}^{19/6}} \,d x","Not used",1,"int(1/((a + b*x)^(7/6)*(c + d*x)^(19/6)), x)","F"
1844,1,11,11,0.462013,"\text{Not used}","int((a + b*x*(m + 2))*(a + b*x)^m,x)","x\,{\left(a+b\,x\right)}^{m+1}","Not used",1,"x*(a + b*x)^(m + 1)","B"
1845,0,-1,61,0.000000,"\text{Not used}","int((a + b*x)^m*(c + d*x)^n,x)","\int {\left(a+b\,x\right)}^m\,{\left(c+d\,x\right)}^n \,d x","Not used",1,"int((a + b*x)^m*(c + d*x)^n, x)","F"
1846,1,478,110,0.942383,"\text{Not used}","int((a + b*x)^m*(c + d*x)^3,x)","\frac{d^3\,x^4\,{\left(a+b\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{a\,{\left(a+b\,x\right)}^m\,\left(-6\,a^3\,d^3+6\,a^2\,b\,c\,d^2\,m+24\,a^2\,b\,c\,d^2-3\,a\,b^2\,c^2\,d\,m^2-21\,a\,b^2\,c^2\,d\,m-36\,a\,b^2\,c^2\,d+b^3\,c^3\,m^3+9\,b^3\,c^3\,m^2+26\,b^3\,c^3\,m+24\,b^3\,c^3\right)}{b^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x\,{\left(a+b\,x\right)}^m\,\left(6\,a^3\,b\,d^3\,m-6\,a^2\,b^2\,c\,d^2\,m^2-24\,a^2\,b^2\,c\,d^2\,m+3\,a\,b^3\,c^2\,d\,m^3+21\,a\,b^3\,c^2\,d\,m^2+36\,a\,b^3\,c^2\,d\,m+b^4\,c^3\,m^3+9\,b^4\,c^3\,m^2+26\,b^4\,c^3\,m+24\,b^4\,c^3\right)}{b^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{3\,d\,x^2\,\left(m+1\right)\,{\left(a+b\,x\right)}^m\,\left(-a^2\,d^2\,m+a\,b\,c\,d\,m^2+4\,a\,b\,c\,d\,m+b^2\,c^2\,m^2+7\,b^2\,c^2\,m+12\,b^2\,c^2\right)}{b^2\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{d^2\,x^3\,{\left(a+b\,x\right)}^m\,\left(12\,b\,c+a\,d\,m+3\,b\,c\,m\right)\,\left(m^2+3\,m+2\right)}{b\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"(d^3*x^4*(a + b*x)^m*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (a*(a + b*x)^m*(24*b^3*c^3 - 6*a^3*d^3 + 26*b^3*c^3*m + 9*b^3*c^3*m^2 + b^3*c^3*m^3 - 36*a*b^2*c^2*d + 24*a^2*b*c*d^2 - 21*a*b^2*c^2*d*m + 6*a^2*b*c*d^2*m - 3*a*b^2*c^2*d*m^2))/(b^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x*(a + b*x)^m*(24*b^4*c^3 + 26*b^4*c^3*m + 9*b^4*c^3*m^2 + b^4*c^3*m^3 + 6*a^3*b*d^3*m + 36*a*b^3*c^2*d*m - 24*a^2*b^2*c*d^2*m + 21*a*b^3*c^2*d*m^2 + 3*a*b^3*c^2*d*m^3 - 6*a^2*b^2*c*d^2*m^2))/(b^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (3*d*x^2*(m + 1)*(a + b*x)^m*(12*b^2*c^2 - a^2*d^2*m + 7*b^2*c^2*m + b^2*c^2*m^2 + 4*a*b*c*d*m + a*b*c*d*m^2))/(b^2*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (d^2*x^3*(a + b*x)^m*(12*b*c + a*d*m + 3*b*c*m)*(3*m + m^2 + 2))/(b*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
1847,1,226,78,0.655409,"\text{Not used}","int((a + b*x)^m*(c + d*x)^2,x)","{\left(a+b\,x\right)}^m\,\left(\frac{a\,\left(2\,a^2\,d^2-2\,a\,b\,c\,d\,m-6\,a\,b\,c\,d+b^2\,c^2\,m^2+5\,b^2\,c^2\,m+6\,b^2\,c^2\right)}{b^3\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{d^2\,x^3\,\left(m^2+3\,m+2\right)}{m^3+6\,m^2+11\,m+6}+\frac{x\,\left(-2\,a^2\,b\,d^2\,m+2\,a\,b^2\,c\,d\,m^2+6\,a\,b^2\,c\,d\,m+b^3\,c^2\,m^2+5\,b^3\,c^2\,m+6\,b^3\,c^2\right)}{b^3\,\left(m^3+6\,m^2+11\,m+6\right)}+\frac{d\,x^2\,\left(m+1\right)\,\left(6\,b\,c+a\,d\,m+2\,b\,c\,m\right)}{b\,\left(m^3+6\,m^2+11\,m+6\right)}\right)","Not used",1,"(a + b*x)^m*((a*(2*a^2*d^2 + 6*b^2*c^2 + 5*b^2*c^2*m + b^2*c^2*m^2 - 6*a*b*c*d - 2*a*b*c*d*m))/(b^3*(11*m + 6*m^2 + m^3 + 6)) + (d^2*x^3*(3*m + m^2 + 2))/(11*m + 6*m^2 + m^3 + 6) + (x*(6*b^3*c^2 + 5*b^3*c^2*m + b^3*c^2*m^2 - 2*a^2*b*d^2*m + 2*a*b^2*c*d*m^2 + 6*a*b^2*c*d*m))/(b^3*(11*m + 6*m^2 + m^3 + 6)) + (d*x^2*(m + 1)*(6*b*c + a*d*m + 2*b*c*m))/(b*(11*m + 6*m^2 + m^3 + 6)))","B"
1848,1,88,46,0.484124,"\text{Not used}","int((a + b*x)^m*(c + d*x),x)","{\left(a+b\,x\right)}^m\,\left(\frac{a\,\left(2\,b\,c-a\,d+b\,c\,m\right)}{b^2\,\left(m^2+3\,m+2\right)}+\frac{x\,\left(2\,b^2\,c+b^2\,c\,m+a\,b\,d\,m\right)}{b^2\,\left(m^2+3\,m+2\right)}+\frac{d\,x^2\,\left(m+1\right)}{m^2+3\,m+2}\right)","Not used",1,"(a + b*x)^m*((a*(2*b*c - a*d + b*c*m))/(b^2*(3*m + m^2 + 2)) + (x*(2*b^2*c + b^2*c*m + a*b*d*m))/(b^2*(3*m + m^2 + 2)) + (d*x^2*(m + 1))/(3*m + m^2 + 2))","B"
1849,0,-1,51,0.000000,"\text{Not used}","int((a + b*x)^m/(c + d*x),x)","\int \frac{{\left(a+b\,x\right)}^m}{c+d\,x} \,d x","Not used",1,"int((a + b*x)^m/(c + d*x), x)","F"
1850,0,-1,52,0.000000,"\text{Not used}","int((a + b*x)^m/(c + d*x)^2,x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((a + b*x)^m/(c + d*x)^2, x)","F"
1851,0,-1,54,0.000000,"\text{Not used}","int((a + b*x)^m/(c + d*x)^3,x)","\int \frac{{\left(a+b\,x\right)}^m}{{\left(c+d\,x\right)}^3} \,d x","Not used",1,"int((a + b*x)^m/(c + d*x)^3, x)","F"
1852,1,478,111,0.913224,"\text{Not used}","int((a + b*x)^3*(c + d*x)^n,x)","\frac{x\,{\left(c+d\,x\right)}^n\,\left(a^3\,d^4\,n^3+9\,a^3\,d^4\,n^2+26\,a^3\,d^4\,n+24\,a^3\,d^4+3\,a^2\,b\,c\,d^3\,n^3+21\,a^2\,b\,c\,d^3\,n^2+36\,a^2\,b\,c\,d^3\,n-6\,a\,b^2\,c^2\,d^2\,n^2-24\,a\,b^2\,c^2\,d^2\,n+6\,b^3\,c^3\,d\,n\right)}{d^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{b^3\,x^4\,{\left(c+d\,x\right)}^n\,\left(n^3+6\,n^2+11\,n+6\right)}{n^4+10\,n^3+35\,n^2+50\,n+24}+\frac{c\,{\left(c+d\,x\right)}^n\,\left(a^3\,d^3\,n^3+9\,a^3\,d^3\,n^2+26\,a^3\,d^3\,n+24\,a^3\,d^3-3\,a^2\,b\,c\,d^2\,n^2-21\,a^2\,b\,c\,d^2\,n-36\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d\,n+24\,a\,b^2\,c^2\,d-6\,b^3\,c^3\right)}{d^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{3\,b\,x^2\,\left(n+1\right)\,{\left(c+d\,x\right)}^n\,\left(a^2\,d^2\,n^2+7\,a^2\,d^2\,n+12\,a^2\,d^2+a\,b\,c\,d\,n^2+4\,a\,b\,c\,d\,n-b^2\,c^2\,n\right)}{d^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{b^2\,x^3\,{\left(c+d\,x\right)}^n\,\left(12\,a\,d+3\,a\,d\,n+b\,c\,n\right)\,\left(n^2+3\,n+2\right)}{d\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}","Not used",1,"(x*(c + d*x)^n*(24*a^3*d^4 + 26*a^3*d^4*n + 9*a^3*d^4*n^2 + a^3*d^4*n^3 + 6*b^3*c^3*d*n + 36*a^2*b*c*d^3*n - 24*a*b^2*c^2*d^2*n + 21*a^2*b*c*d^3*n^2 + 3*a^2*b*c*d^3*n^3 - 6*a*b^2*c^2*d^2*n^2))/(d^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (b^3*x^4*(c + d*x)^n*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) + (c*(c + d*x)^n*(24*a^3*d^3 - 6*b^3*c^3 + 26*a^3*d^3*n + 9*a^3*d^3*n^2 + a^3*d^3*n^3 + 24*a*b^2*c^2*d - 36*a^2*b*c*d^2 + 6*a*b^2*c^2*d*n - 21*a^2*b*c*d^2*n - 3*a^2*b*c*d^2*n^2))/(d^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (3*b*x^2*(n + 1)*(c + d*x)^n*(12*a^2*d^2 + 7*a^2*d^2*n - b^2*c^2*n + a^2*d^2*n^2 + 4*a*b*c*d*n + a*b*c*d*n^2))/(d^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (b^2*x^3*(c + d*x)^n*(12*a*d + 3*a*d*n + b*c*n)*(3*n + n^2 + 2))/(d*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))","B"
1853,1,226,78,0.618017,"\text{Not used}","int((a + b*x)^2*(c + d*x)^n,x)","{\left(c+d\,x\right)}^n\,\left(\frac{c\,\left(a^2\,d^2\,n^2+5\,a^2\,d^2\,n+6\,a^2\,d^2-2\,a\,b\,c\,d\,n-6\,a\,b\,c\,d+2\,b^2\,c^2\right)}{d^3\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{b^2\,x^3\,\left(n^2+3\,n+2\right)}{n^3+6\,n^2+11\,n+6}+\frac{x\,\left(a^2\,d^3\,n^2+5\,a^2\,d^3\,n+6\,a^2\,d^3+2\,a\,b\,c\,d^2\,n^2+6\,a\,b\,c\,d^2\,n-2\,b^2\,c^2\,d\,n\right)}{d^3\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{b\,x^2\,\left(n+1\right)\,\left(6\,a\,d+2\,a\,d\,n+b\,c\,n\right)}{d\,\left(n^3+6\,n^2+11\,n+6\right)}\right)","Not used",1,"(c + d*x)^n*((c*(6*a^2*d^2 + 2*b^2*c^2 + 5*a^2*d^2*n + a^2*d^2*n^2 - 6*a*b*c*d - 2*a*b*c*d*n))/(d^3*(11*n + 6*n^2 + n^3 + 6)) + (b^2*x^3*(3*n + n^2 + 2))/(11*n + 6*n^2 + n^3 + 6) + (x*(6*a^2*d^3 + 5*a^2*d^3*n + a^2*d^3*n^2 - 2*b^2*c^2*d*n + 2*a*b*c*d^2*n^2 + 6*a*b*c*d^2*n))/(d^3*(11*n + 6*n^2 + n^3 + 6)) + (b*x^2*(n + 1)*(6*a*d + 2*a*d*n + b*c*n))/(d*(11*n + 6*n^2 + n^3 + 6)))","B"
1854,1,88,47,0.493986,"\text{Not used}","int((a + b*x)*(c + d*x)^n,x)","{\left(c+d\,x\right)}^n\,\left(\frac{c\,\left(2\,a\,d-b\,c+a\,d\,n\right)}{d^2\,\left(n^2+3\,n+2\right)}+\frac{b\,x^2\,\left(n+1\right)}{n^2+3\,n+2}+\frac{x\,\left(2\,a\,d^2+a\,d^2\,n+b\,c\,d\,n\right)}{d^2\,\left(n^2+3\,n+2\right)}\right)","Not used",1,"(c + d*x)^n*((c*(2*a*d - b*c + a*d*n))/(d^2*(3*n + n^2 + 2)) + (b*x^2*(n + 1))/(3*n + n^2 + 2) + (x*(2*a*d^2 + a*d^2*n + b*c*d*n))/(d^2*(3*n + n^2 + 2)))","B"
1855,1,18,18,0.379057,"\text{Not used}","int((c + d*x)^n,x)","\frac{{\left(c+d\,x\right)}^{n+1}}{d\,\left(n+1\right)}","Not used",1,"(c + d*x)^(n + 1)/(d*(n + 1))","B"
1856,0,-1,51,0.000000,"\text{Not used}","int((c + d*x)^n/(a + b*x),x)","\int \frac{{\left(c+d\,x\right)}^n}{a+b\,x} \,d x","Not used",1,"int((c + d*x)^n/(a + b*x), x)","F"
1857,0,-1,51,0.000000,"\text{Not used}","int((c + d*x)^n/(a + b*x)^2,x)","\int \frac{{\left(c+d\,x\right)}^n}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c + d*x)^n/(a + b*x)^2, x)","F"
1858,0,-1,54,0.000000,"\text{Not used}","int((c + d*x)^n/(a + b*x)^3,x)","\int \frac{{\left(c+d\,x\right)}^n}{{\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((c + d*x)^n/(a + b*x)^3, x)","F"
1859,1,528,143,1.095890,"\text{Not used}","int((a + b*x)^(n - 4)/(c + d*x)^n,x)","-\frac{x\,{\left(a+b\,x\right)}^{n-4}\,\left(a^3\,d^3\,n^2-5\,a^3\,d^3\,n+6\,a^3\,d^3-a^2\,b\,c\,d^2\,n^2+a^2\,b\,c\,d^2\,n+6\,a^2\,b\,c\,d^2-a\,b^2\,c^2\,d\,n^2+7\,a\,b^2\,c^2\,d\,n-6\,a\,b^2\,c^2\,d+b^3\,c^3\,n^2-3\,b^3\,c^3\,n+2\,b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^{n-4}\,\left(a^2\,d^2\,n^2-5\,a^2\,d^2\,n+6\,a^2\,d^2-2\,a\,b\,c\,d\,n^2+8\,a\,b\,c\,d\,n-6\,a\,b\,c\,d+b^2\,c^2\,n^2-3\,b^2\,c^2\,n+2\,b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}-\frac{2\,b^3\,d^3\,x^4\,{\left(a+b\,x\right)}^{n-4}}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}-\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^{n-4}\,\left(a^2\,d^2\,n^2-7\,a^2\,d^2\,n+12\,a^2\,d^2-2\,a\,b\,c\,d\,n^2+8\,a\,b\,c\,d\,n+b^2\,c^2\,n^2-b^2\,c^2\,n\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}-\frac{2\,b^2\,d^2\,x^3\,{\left(a+b\,x\right)}^{n-4}\,\left(4\,a\,d-a\,d\,n+b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^n\,\left(n^3-6\,n^2+11\,n-6\right)}","Not used",1,"- (x*(a + b*x)^(n - 4)*(6*a^3*d^3 + 2*b^3*c^3 - 5*a^3*d^3*n - 3*b^3*c^3*n + a^3*d^3*n^2 + b^3*c^3*n^2 - 6*a*b^2*c^2*d + 6*a^2*b*c*d^2 + 7*a*b^2*c^2*d*n + a^2*b*c*d^2*n - a*b^2*c^2*d*n^2 - a^2*b*c*d^2*n^2))/((a*d - b*c)^3*(c + d*x)^n*(11*n - 6*n^2 + n^3 - 6)) - (a*c*(a + b*x)^(n - 4)*(6*a^2*d^2 + 2*b^2*c^2 - 5*a^2*d^2*n - 3*b^2*c^2*n + a^2*d^2*n^2 + b^2*c^2*n^2 - 6*a*b*c*d + 8*a*b*c*d*n - 2*a*b*c*d*n^2))/((a*d - b*c)^3*(c + d*x)^n*(11*n - 6*n^2 + n^3 - 6)) - (2*b^3*d^3*x^4*(a + b*x)^(n - 4))/((a*d - b*c)^3*(c + d*x)^n*(11*n - 6*n^2 + n^3 - 6)) - (b*d*x^2*(a + b*x)^(n - 4)*(12*a^2*d^2 - 7*a^2*d^2*n - b^2*c^2*n + a^2*d^2*n^2 + b^2*c^2*n^2 + 8*a*b*c*d*n - 2*a*b*c*d*n^2))/((a*d - b*c)^3*(c + d*x)^n*(11*n - 6*n^2 + n^3 - 6)) - (2*b^2*d^2*x^3*(a + b*x)^(n - 4)*(4*a*d - a*d*n + b*c*n))/((a*d - b*c)^3*(c + d*x)^n*(11*n - 6*n^2 + n^3 - 6))","B"
1860,1,220,86,0.767228,"\text{Not used}","int((a + b*x)^(n - 3)/(c + d*x)^n,x)","{\left(a+b\,x\right)}^{n-3}\,\left(\frac{x\,\left(2\,a^2\,d^2-b^2\,c^2-a^2\,d^2\,n+b^2\,c^2\,n+2\,a\,b\,c\,d\right)}{{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^n\,\left(n^2-3\,n+2\right)}+\frac{b^2\,d^2\,x^3}{{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^n\,\left(n^2-3\,n+2\right)}+\frac{a\,c\,\left(2\,a\,d-b\,c-a\,d\,n+b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^n\,\left(n^2-3\,n+2\right)}+\frac{b\,d\,x^2\,\left(3\,a\,d-a\,d\,n+b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^n\,\left(n^2-3\,n+2\right)}\right)","Not used",1,"(a + b*x)^(n - 3)*((x*(2*a^2*d^2 - b^2*c^2 - a^2*d^2*n + b^2*c^2*n + 2*a*b*c*d))/((a*d - b*c)^2*(c + d*x)^n*(n^2 - 3*n + 2)) + (b^2*d^2*x^3)/((a*d - b*c)^2*(c + d*x)^n*(n^2 - 3*n + 2)) + (a*c*(2*a*d - b*c - a*d*n + b*c*n))/((a*d - b*c)^2*(c + d*x)^n*(n^2 - 3*n + 2)) + (b*d*x^2*(3*a*d - a*d*n + b*c*n))/((a*d - b*c)^2*(c + d*x)^n*(n^2 - 3*n + 2)))","B"
1861,1,102,39,0.558670,"\text{Not used}","int((a + b*x)^(n - 2)/(c + d*x)^n,x)","-{\left(a+b\,x\right)}^{n-2}\,\left(\frac{a\,c}{\left(a\,d-b\,c\right)\,\left(n-1\right)\,{\left(c+d\,x\right)}^n}+\frac{x\,\left(a\,d+b\,c\right)}{\left(a\,d-b\,c\right)\,\left(n-1\right)\,{\left(c+d\,x\right)}^n}+\frac{b\,d\,x^2}{\left(a\,d-b\,c\right)\,\left(n-1\right)\,{\left(c+d\,x\right)}^n}\right)","Not used",1,"-(a + b*x)^(n - 2)*((a*c)/((a*d - b*c)*(n - 1)*(c + d*x)^n) + (x*(a*d + b*c))/((a*d - b*c)*(n - 1)*(c + d*x)^n) + (b*d*x^2)/((a*d - b*c)*(n - 1)*(c + d*x)^n))","B"
1862,0,-1,66,0.000000,"\text{Not used}","int((a + b*x)^(n - 1)/(c + d*x)^n,x)","\int \frac{{\left(a+b\,x\right)}^{n-1}}{{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^(n - 1)/(c + d*x)^n, x)","F"
1863,0,-1,72,0.000000,"\text{Not used}","int((a + b*x)^n/(c + d*x)^n,x)","\int \frac{{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^n/(c + d*x)^n, x)","F"
1864,0,-1,72,0.000000,"\text{Not used}","int((a + b*x)^(n + 1)/(c + d*x)^n,x)","\int \frac{{\left(a+b\,x\right)}^{n+1}}{{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^(n + 1)/(c + d*x)^n, x)","F"
1865,0,-1,72,0.000000,"\text{Not used}","int((a + b*x)^(n + 2)/(c + d*x)^n,x)","\int \frac{{\left(a+b\,x\right)}^{n+2}}{{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^(n + 2)/(c + d*x)^n, x)","F"
1866,0,-1,72,0.000000,"\text{Not used}","int((c + d*x)^n/(a + b*x)^n,x)","\int \frac{{\left(c+d\,x\right)}^n}{{\left(a+b\,x\right)}^n} \,d x","Not used",1,"int((c + d*x)^n/(a + b*x)^n, x)","F"
1867,0,-1,75,0.000000,"\text{Not used}","int((c + d*x)^n/(a + b*x)^(n + 1),x)","\int \frac{{\left(c+d\,x\right)}^n}{{\left(a+b\,x\right)}^{n+1}} \,d x","Not used",1,"int((c + d*x)^n/(a + b*x)^(n + 1), x)","F"
1868,1,97,37,0.531528,"\text{Not used}","int((c + d*x)^n/(a + b*x)^(n + 2),x)","\frac{\frac{a\,c\,{\left(c+d\,x\right)}^n}{\left(a\,d-b\,c\right)\,\left(n+1\right)}+\frac{x\,\left(a\,d+b\,c\right)\,{\left(c+d\,x\right)}^n}{\left(a\,d-b\,c\right)\,\left(n+1\right)}+\frac{b\,d\,x^2\,{\left(c+d\,x\right)}^n}{\left(a\,d-b\,c\right)\,\left(n+1\right)}}{{\left(a+b\,x\right)}^{n+2}}","Not used",1,"((a*c*(c + d*x)^n)/((a*d - b*c)*(n + 1)) + (x*(a*d + b*c)*(c + d*x)^n)/((a*d - b*c)*(n + 1)) + (b*d*x^2*(c + d*x)^n)/((a*d - b*c)*(n + 1)))/(a + b*x)^(n + 2)","B"
1869,1,214,80,0.736359,"\text{Not used}","int((c + d*x)^n/(a + b*x)^(n + 3),x)","\frac{\frac{x\,{\left(c+d\,x\right)}^n\,\left(2\,a^2\,d^2-b^2\,c^2+a^2\,d^2\,n-b^2\,c^2\,n+2\,a\,b\,c\,d\right)}{{\left(a\,d-b\,c\right)}^2\,\left(n^2+3\,n+2\right)}+\frac{a\,c\,{\left(c+d\,x\right)}^n\,\left(2\,a\,d-b\,c+a\,d\,n-b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^2\,\left(n^2+3\,n+2\right)}+\frac{b^2\,d^2\,x^3\,{\left(c+d\,x\right)}^n}{{\left(a\,d-b\,c\right)}^2\,\left(n^2+3\,n+2\right)}+\frac{b\,d\,x^2\,{\left(c+d\,x\right)}^n\,\left(3\,a\,d+a\,d\,n-b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^2\,\left(n^2+3\,n+2\right)}}{{\left(a+b\,x\right)}^{n+3}}","Not used",1,"((x*(c + d*x)^n*(2*a^2*d^2 - b^2*c^2 + a^2*d^2*n - b^2*c^2*n + 2*a*b*c*d))/((a*d - b*c)^2*(3*n + n^2 + 2)) + (a*c*(c + d*x)^n*(2*a*d - b*c + a*d*n - b*c*n))/((a*d - b*c)^2*(3*n + n^2 + 2)) + (b^2*d^2*x^3*(c + d*x)^n)/((a*d - b*c)^2*(3*n + n^2 + 2)) + (b*d*x^2*(c + d*x)^n*(3*a*d + a*d*n - b*c*n))/((a*d - b*c)^2*(3*n + n^2 + 2)))/(a + b*x)^(n + 3)","B"
1870,1,525,131,0.991783,"\text{Not used}","int((c + d*x)^n/(a + b*x)^(n + 4),x)","\frac{x\,{\left(c+d\,x\right)}^n\,\left(a^3\,d^3\,n^2+5\,a^3\,d^3\,n+6\,a^3\,d^3-a^2\,b\,c\,d^2\,n^2-a^2\,b\,c\,d^2\,n+6\,a^2\,b\,c\,d^2-a\,b^2\,c^2\,d\,n^2-7\,a\,b^2\,c^2\,d\,n-6\,a\,b^2\,c^2\,d+b^3\,c^3\,n^2+3\,b^3\,c^3\,n+2\,b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{a\,c\,{\left(c+d\,x\right)}^n\,\left(a^2\,d^2\,n^2+5\,a^2\,d^2\,n+6\,a^2\,d^2-2\,a\,b\,c\,d\,n^2-8\,a\,b\,c\,d\,n-6\,a\,b\,c\,d+b^2\,c^2\,n^2+3\,b^2\,c^2\,n+2\,b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{2\,b^3\,d^3\,x^4\,{\left(c+d\,x\right)}^n}{{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{b\,d\,x^2\,{\left(c+d\,x\right)}^n\,\left(a^2\,d^2\,n^2+7\,a^2\,d^2\,n+12\,a^2\,d^2-2\,a\,b\,c\,d\,n^2-8\,a\,b\,c\,d\,n+b^2\,c^2\,n^2+b^2\,c^2\,n\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{2\,b^2\,d^2\,x^3\,{\left(c+d\,x\right)}^n\,\left(4\,a\,d+a\,d\,n-b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}","Not used",1,"(x*(c + d*x)^n*(6*a^3*d^3 + 2*b^3*c^3 + 5*a^3*d^3*n + 3*b^3*c^3*n + a^3*d^3*n^2 + b^3*c^3*n^2 - 6*a*b^2*c^2*d + 6*a^2*b*c*d^2 - 7*a*b^2*c^2*d*n - a^2*b*c*d^2*n - a*b^2*c^2*d*n^2 - a^2*b*c*d^2*n^2))/((a*d - b*c)^3*(a + b*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6)) + (a*c*(c + d*x)^n*(6*a^2*d^2 + 2*b^2*c^2 + 5*a^2*d^2*n + 3*b^2*c^2*n + a^2*d^2*n^2 + b^2*c^2*n^2 - 6*a*b*c*d - 8*a*b*c*d*n - 2*a*b*c*d*n^2))/((a*d - b*c)^3*(a + b*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6)) + (2*b^3*d^3*x^4*(c + d*x)^n)/((a*d - b*c)^3*(a + b*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6)) + (b*d*x^2*(c + d*x)^n*(12*a^2*d^2 + 7*a^2*d^2*n + b^2*c^2*n + a^2*d^2*n^2 + b^2*c^2*n^2 - 8*a*b*c*d*n - 2*a*b*c*d*n^2))/((a*d - b*c)^3*(a + b*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6)) + (2*b^2*d^2*x^3*(c + d*x)^n*(4*a*d + a*d*n - b*c*n))/((a*d - b*c)^3*(a + b*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6))","B"
1871,1,944,186,1.642351,"\text{Not used}","int((c + d*x)^n/(a + b*x)^(n + 5),x)","\frac{a\,c\,{\left(c+d\,x\right)}^n\,\left(a^3\,d^3\,n^3+9\,a^3\,d^3\,n^2+26\,a^3\,d^3\,n+24\,a^3\,d^3-3\,a^2\,b\,c\,d^2\,n^3-24\,a^2\,b\,c\,d^2\,n^2-57\,a^2\,b\,c\,d^2\,n-36\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d\,n^3+21\,a\,b^2\,c^2\,d\,n^2+42\,a\,b^2\,c^2\,d\,n+24\,a\,b^2\,c^2\,d-b^3\,c^3\,n^3-6\,b^3\,c^3\,n^2-11\,b^3\,c^3\,n-6\,b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{x\,{\left(c+d\,x\right)}^n\,\left(-a^4\,d^4\,n^3-9\,a^4\,d^4\,n^2-26\,a^4\,d^4\,n-24\,a^4\,d^4+2\,a^3\,b\,c\,d^3\,n^3+12\,a^3\,b\,c\,d^3\,n^2+10\,a^3\,b\,c\,d^3\,n-24\,a^3\,b\,c\,d^3+9\,a^2\,b^2\,c^2\,d^2\,n^2+45\,a^2\,b^2\,c^2\,d^2\,n+36\,a^2\,b^2\,c^2\,d^2-2\,a\,b^3\,c^3\,d\,n^3-18\,a\,b^3\,c^3\,d\,n^2-40\,a\,b^3\,c^3\,d\,n-24\,a\,b^3\,c^3\,d+b^4\,c^4\,n^3+6\,b^4\,c^4\,n^2+11\,b^4\,c^4\,n+6\,b^4\,c^4\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,b^4\,d^4\,x^5\,{\left(c+d\,x\right)}^n}{{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{3\,b^2\,d^2\,x^3\,{\left(c+d\,x\right)}^n\,\left(a^2\,d^2\,n^2+9\,a^2\,d^2\,n+20\,a^2\,d^2-2\,a\,b\,c\,d\,n^2-10\,a\,b\,c\,d\,n+b^2\,c^2\,n^2+b^2\,c^2\,n\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,b^3\,d^3\,x^4\,{\left(c+d\,x\right)}^n\,\left(5\,a\,d+a\,d\,n-b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{b\,d\,x^2\,{\left(c+d\,x\right)}^n\,\left(a^3\,d^3\,n^3+12\,a^3\,d^3\,n^2+47\,a^3\,d^3\,n+60\,a^3\,d^3-3\,a^2\,b\,c\,d^2\,n^3-27\,a^2\,b\,c\,d^2\,n^2-60\,a^2\,b\,c\,d^2\,n+3\,a\,b^2\,c^2\,d\,n^3+18\,a\,b^2\,c^2\,d\,n^2+15\,a\,b^2\,c^2\,d\,n-b^3\,c^3\,n^3-3\,b^3\,c^3\,n^2-2\,b^3\,c^3\,n\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}","Not used",1,"(a*c*(c + d*x)^n*(24*a^3*d^3 - 6*b^3*c^3 + 26*a^3*d^3*n - 11*b^3*c^3*n + 9*a^3*d^3*n^2 - 6*b^3*c^3*n^2 + a^3*d^3*n^3 - b^3*c^3*n^3 + 24*a*b^2*c^2*d - 36*a^2*b*c*d^2 + 42*a*b^2*c^2*d*n - 57*a^2*b*c*d^2*n + 21*a*b^2*c^2*d*n^2 - 24*a^2*b*c*d^2*n^2 + 3*a*b^2*c^2*d*n^3 - 3*a^2*b*c*d^2*n^3))/((a*d - b*c)^4*(a + b*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (x*(c + d*x)^n*(6*b^4*c^4 - 24*a^4*d^4 - 26*a^4*d^4*n + 11*b^4*c^4*n - 9*a^4*d^4*n^2 + 6*b^4*c^4*n^2 - a^4*d^4*n^3 + b^4*c^4*n^3 + 36*a^2*b^2*c^2*d^2 - 24*a*b^3*c^3*d - 24*a^3*b*c*d^3 - 40*a*b^3*c^3*d*n + 10*a^3*b*c*d^3*n + 9*a^2*b^2*c^2*d^2*n^2 - 18*a*b^3*c^3*d*n^2 + 12*a^3*b*c*d^3*n^2 - 2*a*b^3*c^3*d*n^3 + 2*a^3*b*c*d^3*n^3 + 45*a^2*b^2*c^2*d^2*n))/((a*d - b*c)^4*(a + b*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*b^4*d^4*x^5*(c + d*x)^n)/((a*d - b*c)^4*(a + b*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (3*b^2*d^2*x^3*(c + d*x)^n*(20*a^2*d^2 + 9*a^2*d^2*n + b^2*c^2*n + a^2*d^2*n^2 + b^2*c^2*n^2 - 10*a*b*c*d*n - 2*a*b*c*d*n^2))/((a*d - b*c)^4*(a + b*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*b^3*d^3*x^4*(c + d*x)^n*(5*a*d + a*d*n - b*c*n))/((a*d - b*c)^4*(a + b*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (b*d*x^2*(c + d*x)^n*(60*a^3*d^3 + 47*a^3*d^3*n - 2*b^3*c^3*n + 12*a^3*d^3*n^2 - 3*b^3*c^3*n^2 + a^3*d^3*n^3 - b^3*c^3*n^3 + 15*a*b^2*c^2*d*n - 60*a^2*b*c*d^2*n + 18*a*b^2*c^2*d*n^2 - 27*a^2*b*c*d^2*n^2 + 3*a*b^2*c^2*d*n^3 - 3*a^2*b*c*d^2*n^3))/((a*d - b*c)^4*(a + b*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))","B"
1872,0,-1,72,0.000000,"\text{Not used}","int((a + b*x)^n/(c + d*x)^n,x)","\int \frac{{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int((a + b*x)^n/(c + d*x)^n, x)","F"
1873,0,-1,75,0.000000,"\text{Not used}","int((a + b*x)^n/(c + d*x)^(n + 1),x)","\int \frac{{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^{n+1}} \,d x","Not used",1,"int((a + b*x)^n/(c + d*x)^(n + 1), x)","F"
1874,1,98,36,0.555975,"\text{Not used}","int((a + b*x)^n/(c + d*x)^(n + 2),x)","-\frac{\frac{a\,c\,{\left(a+b\,x\right)}^n}{\left(a\,d-b\,c\right)\,\left(n+1\right)}+\frac{x\,\left(a\,d+b\,c\right)\,{\left(a+b\,x\right)}^n}{\left(a\,d-b\,c\right)\,\left(n+1\right)}+\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^n}{\left(a\,d-b\,c\right)\,\left(n+1\right)}}{{\left(c+d\,x\right)}^{n+2}}","Not used",1,"-((a*c*(a + b*x)^n)/((a*d - b*c)*(n + 1)) + (x*(a*d + b*c)*(a + b*x)^n)/((a*d - b*c)*(n + 1)) + (b*d*x^2*(a + b*x)^n)/((a*d - b*c)*(n + 1)))/(c + d*x)^(n + 2)","B"
1875,1,214,79,0.744853,"\text{Not used}","int((a + b*x)^n/(c + d*x)^(n + 3),x)","\frac{\frac{x\,{\left(a+b\,x\right)}^n\,\left(2\,b^2\,c^2-a^2\,d^2-a^2\,d^2\,n+b^2\,c^2\,n+2\,a\,b\,c\,d\right)}{{\left(a\,d-b\,c\right)}^2\,\left(n^2+3\,n+2\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^n\,\left(a\,d-2\,b\,c+a\,d\,n-b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^2\,\left(n^2+3\,n+2\right)}+\frac{b^2\,d^2\,x^3\,{\left(a+b\,x\right)}^n}{{\left(a\,d-b\,c\right)}^2\,\left(n^2+3\,n+2\right)}+\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^n\,\left(3\,b\,c-a\,d\,n+b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^2\,\left(n^2+3\,n+2\right)}}{{\left(c+d\,x\right)}^{n+3}}","Not used",1,"((x*(a + b*x)^n*(2*b^2*c^2 - a^2*d^2 - a^2*d^2*n + b^2*c^2*n + 2*a*b*c*d))/((a*d - b*c)^2*(3*n + n^2 + 2)) - (a*c*(a + b*x)^n*(a*d - 2*b*c + a*d*n - b*c*n))/((a*d - b*c)^2*(3*n + n^2 + 2)) + (b^2*d^2*x^3*(a + b*x)^n)/((a*d - b*c)^2*(3*n + n^2 + 2)) + (b*d*x^2*(a + b*x)^n*(3*b*c - a*d*n + b*c*n))/((a*d - b*c)^2*(3*n + n^2 + 2)))/(c + d*x)^(n + 3)","B"
1876,1,528,130,1.022755,"\text{Not used}","int((a + b*x)^n/(c + d*x)^(n + 4),x)","-\frac{x\,{\left(a+b\,x\right)}^n\,\left(a^3\,d^3\,n^2+3\,a^3\,d^3\,n+2\,a^3\,d^3-a^2\,b\,c\,d^2\,n^2-7\,a^2\,b\,c\,d^2\,n-6\,a^2\,b\,c\,d^2-a\,b^2\,c^2\,d\,n^2-a\,b^2\,c^2\,d\,n+6\,a\,b^2\,c^2\,d+b^3\,c^3\,n^2+5\,b^3\,c^3\,n+6\,b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^n\,\left(a^2\,d^2\,n^2+3\,a^2\,d^2\,n+2\,a^2\,d^2-2\,a\,b\,c\,d\,n^2-8\,a\,b\,c\,d\,n-6\,a\,b\,c\,d+b^2\,c^2\,n^2+5\,b^2\,c^2\,n+6\,b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{2\,b^3\,d^3\,x^4\,{\left(a+b\,x\right)}^n}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^n\,\left(a^2\,d^2\,n^2+a^2\,d^2\,n-2\,a\,b\,c\,d\,n^2-8\,a\,b\,c\,d\,n+b^2\,c^2\,n^2+7\,b^2\,c^2\,n+12\,b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{2\,b^2\,d^2\,x^3\,{\left(a+b\,x\right)}^n\,\left(4\,b\,c-a\,d\,n+b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^{n+4}\,\left(n^3+6\,n^2+11\,n+6\right)}","Not used",1,"- (x*(a + b*x)^n*(2*a^3*d^3 + 6*b^3*c^3 + 3*a^3*d^3*n + 5*b^3*c^3*n + a^3*d^3*n^2 + b^3*c^3*n^2 + 6*a*b^2*c^2*d - 6*a^2*b*c*d^2 - a*b^2*c^2*d*n - 7*a^2*b*c*d^2*n - a*b^2*c^2*d*n^2 - a^2*b*c*d^2*n^2))/((a*d - b*c)^3*(c + d*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6)) - (a*c*(a + b*x)^n*(2*a^2*d^2 + 6*b^2*c^2 + 3*a^2*d^2*n + 5*b^2*c^2*n + a^2*d^2*n^2 + b^2*c^2*n^2 - 6*a*b*c*d - 8*a*b*c*d*n - 2*a*b*c*d*n^2))/((a*d - b*c)^3*(c + d*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6)) - (2*b^3*d^3*x^4*(a + b*x)^n)/((a*d - b*c)^3*(c + d*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6)) - (b*d*x^2*(a + b*x)^n*(12*b^2*c^2 + a^2*d^2*n + 7*b^2*c^2*n + a^2*d^2*n^2 + b^2*c^2*n^2 - 8*a*b*c*d*n - 2*a*b*c*d*n^2))/((a*d - b*c)^3*(c + d*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6)) - (2*b^2*d^2*x^3*(a + b*x)^n*(4*b*c - a*d*n + b*c*n))/((a*d - b*c)^3*(c + d*x)^(n + 4)*(11*n + 6*n^2 + n^3 + 6))","B"
1877,1,945,185,1.608860,"\text{Not used}","int((a + b*x)^n/(c + d*x)^(n + 5),x)","\frac{6\,b^4\,d^4\,x^5\,{\left(a+b\,x\right)}^n}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{a\,c\,{\left(a+b\,x\right)}^n\,\left(a^3\,d^3\,n^3+6\,a^3\,d^3\,n^2+11\,a^3\,d^3\,n+6\,a^3\,d^3-3\,a^2\,b\,c\,d^2\,n^3-21\,a^2\,b\,c\,d^2\,n^2-42\,a^2\,b\,c\,d^2\,n-24\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d\,n^3+24\,a\,b^2\,c^2\,d\,n^2+57\,a\,b^2\,c^2\,d\,n+36\,a\,b^2\,c^2\,d-b^3\,c^3\,n^3-9\,b^3\,c^3\,n^2-26\,b^3\,c^3\,n-24\,b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{x\,{\left(a+b\,x\right)}^n\,\left(a^4\,d^4\,n^3+6\,a^4\,d^4\,n^2+11\,a^4\,d^4\,n+6\,a^4\,d^4-2\,a^3\,b\,c\,d^3\,n^3-18\,a^3\,b\,c\,d^3\,n^2-40\,a^3\,b\,c\,d^3\,n-24\,a^3\,b\,c\,d^3+9\,a^2\,b^2\,c^2\,d^2\,n^2+45\,a^2\,b^2\,c^2\,d^2\,n+36\,a^2\,b^2\,c^2\,d^2+2\,a\,b^3\,c^3\,d\,n^3+12\,a\,b^3\,c^3\,d\,n^2+10\,a\,b^3\,c^3\,d\,n-24\,a\,b^3\,c^3\,d-b^4\,c^4\,n^3-9\,b^4\,c^4\,n^2-26\,b^4\,c^4\,n-24\,b^4\,c^4\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{3\,b^2\,d^2\,x^3\,{\left(a+b\,x\right)}^n\,\left(a^2\,d^2\,n^2+a^2\,d^2\,n-2\,a\,b\,c\,d\,n^2-10\,a\,b\,c\,d\,n+b^2\,c^2\,n^2+9\,b^2\,c^2\,n+20\,b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{6\,b^3\,d^3\,x^4\,{\left(a+b\,x\right)}^n\,\left(5\,b\,c-a\,d\,n+b\,c\,n\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{b\,d\,x^2\,{\left(a+b\,x\right)}^n\,\left(-a^3\,d^3\,n^3-3\,a^3\,d^3\,n^2-2\,a^3\,d^3\,n+3\,a^2\,b\,c\,d^2\,n^3+18\,a^2\,b\,c\,d^2\,n^2+15\,a^2\,b\,c\,d^2\,n-3\,a\,b^2\,c^2\,d\,n^3-27\,a\,b^2\,c^2\,d\,n^2-60\,a\,b^2\,c^2\,d\,n+b^3\,c^3\,n^3+12\,b^3\,c^3\,n^2+47\,b^3\,c^3\,n+60\,b^3\,c^3\right)}{{\left(a\,d-b\,c\right)}^4\,{\left(c+d\,x\right)}^{n+5}\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}","Not used",1,"(6*b^4*d^4*x^5*(a + b*x)^n)/((a*d - b*c)^4*(c + d*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (a*c*(a + b*x)^n*(6*a^3*d^3 - 24*b^3*c^3 + 11*a^3*d^3*n - 26*b^3*c^3*n + 6*a^3*d^3*n^2 - 9*b^3*c^3*n^2 + a^3*d^3*n^3 - b^3*c^3*n^3 + 36*a*b^2*c^2*d - 24*a^2*b*c*d^2 + 57*a*b^2*c^2*d*n - 42*a^2*b*c*d^2*n + 24*a*b^2*c^2*d*n^2 - 21*a^2*b*c*d^2*n^2 + 3*a*b^2*c^2*d*n^3 - 3*a^2*b*c*d^2*n^3))/((a*d - b*c)^4*(c + d*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (x*(a + b*x)^n*(6*a^4*d^4 - 24*b^4*c^4 + 11*a^4*d^4*n - 26*b^4*c^4*n + 6*a^4*d^4*n^2 - 9*b^4*c^4*n^2 + a^4*d^4*n^3 - b^4*c^4*n^3 + 36*a^2*b^2*c^2*d^2 - 24*a*b^3*c^3*d - 24*a^3*b*c*d^3 + 10*a*b^3*c^3*d*n - 40*a^3*b*c*d^3*n + 9*a^2*b^2*c^2*d^2*n^2 + 12*a*b^3*c^3*d*n^2 - 18*a^3*b*c*d^3*n^2 + 2*a*b^3*c^3*d*n^3 - 2*a^3*b*c*d^3*n^3 + 45*a^2*b^2*c^2*d^2*n))/((a*d - b*c)^4*(c + d*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (3*b^2*d^2*x^3*(a + b*x)^n*(20*b^2*c^2 + a^2*d^2*n + 9*b^2*c^2*n + a^2*d^2*n^2 + b^2*c^2*n^2 - 10*a*b*c*d*n - 2*a*b*c*d*n^2))/((a*d - b*c)^4*(c + d*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (6*b^3*d^3*x^4*(a + b*x)^n*(5*b*c - a*d*n + b*c*n))/((a*d - b*c)^4*(c + d*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (b*d*x^2*(a + b*x)^n*(60*b^3*c^3 - 2*a^3*d^3*n + 47*b^3*c^3*n - 3*a^3*d^3*n^2 + 12*b^3*c^3*n^2 - a^3*d^3*n^3 + b^3*c^3*n^3 - 60*a*b^2*c^2*d*n + 15*a^2*b*c*d^2*n - 27*a*b^2*c^2*d*n^2 + 18*a^2*b*c*d^2*n^2 - 3*a*b^2*c^2*d*n^3 + 3*a^2*b*c*d^2*n^3))/((a*d - b*c)^4*(c + d*x)^(n + 5)*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))","B"
1878,0,-1,83,0.000000,"\text{Not used}","int((a + b*x)^(n - 2)*(c + d*x)^(1 - n),x)","\int {\left(a+b\,x\right)}^{n-2}\,{\left(c+d\,x\right)}^{1-n} \,d x","Not used",1,"int((a + b*x)^(n - 2)*(c + d*x)^(1 - n), x)","F"
1879,0,-1,84,0.000000,"\text{Not used}","int((a + b*x)^(n + 1)/(c + d*x)^(n + 1),x)","\int \frac{{\left(a+b\,x\right)}^{n+1}}{{\left(c+d\,x\right)}^{n+1}} \,d x","Not used",1,"int((a + b*x)^(n + 1)/(c + d*x)^(n + 1), x)","F"
1880,0,-1,51,0.000000,"\text{Not used}","int((a + b*x)^m/(c + d*x),x)","\int \frac{{\left(a+b\,x\right)}^m}{c+d\,x} \,d x","Not used",1,"int((a + b*x)^m/(c + d*x), x)","F"
1881,1,46,57,0.438831,"\text{Not used}","int(1/((a + b*x)^2*(c + d*x)),x)","\frac{1}{\left(a\,d-b\,c\right)\,\left(a+b\,x\right)}-\frac{d\,\ln\left(\frac{a+b\,x}{c+d\,x}\right)}{{\left(a\,d-b\,c\right)}^2}","Not used",1,"1/((a*d - b*c)*(a + b*x)) - (d*log((a + b*x)/(c + d*x)))/(a*d - b*c)^2","B"
1882,1,81,95,1.036575,"\text{Not used}","int((a + b*x)^m/(a*c*(m + 1) + b*c*x*(m + 2))^(m + 3),x)","\frac{x\,{\left(a+b\,x\right)}^m+\frac{b\,x^2\,\left(2\,m+3\right)\,{\left(a+b\,x\right)}^m}{a\,\left(m+1\right)}+\frac{b^2\,x^3\,\left(m+2\right)\,{\left(a+b\,x\right)}^m}{a^2\,\left(m+1\right)}}{{\left(a\,c\,\left(m+1\right)+b\,c\,x\,\left(m+2\right)\right)}^{m+3}}","Not used",1,"(x*(a + b*x)^m + (b*x^2*(2*m + 3)*(a + b*x)^m)/(a*(m + 1)) + (b^2*x^3*(m + 2)*(a + b*x)^m)/(a^2*(m + 1)))/(a*c*(m + 1) + b*c*x*(m + 2))^(m + 3)","B"
1883,1,119,97,2.137921,"\text{Not used}","int((a + b*x)^((b*c)/(a*d - b*c) - 1)/(c + d*x)^((a*d)/(a*d - b*c) + 1),x)","\frac{x\,{\left(a+b\,x\right)}^{\frac{b\,c}{a\,d-b\,c}-1}+\frac{x^2\,\left(a\,d+b\,c\right)\,{\left(a+b\,x\right)}^{\frac{b\,c}{a\,d-b\,c}-1}}{a\,c}+\frac{b\,d\,x^3\,{\left(a+b\,x\right)}^{\frac{b\,c}{a\,d-b\,c}-1}}{a\,c}}{{\left(c+d\,x\right)}^{\frac{a\,d}{a\,d-b\,c}+1}}","Not used",1,"(x*(a + b*x)^((b*c)/(a*d - b*c) - 1) + (x^2*(a*d + b*c)*(a + b*x)^((b*c)/(a*d - b*c) - 1))/(a*c) + (b*d*x^3*(a + b*x)^((b*c)/(a*d - b*c) - 1))/(a*c))/(c + d*x)^((a*d)/(a*d - b*c) + 1)","B"
1884,1,142,97,0.849797,"\text{Not used}","int(1/((a + b*x)^((a*d - 2*b*c)/(a*d - b*c))*(c + d*x)^((2*a*d - b*c)/(a*d - b*c))),x)","\frac{\frac{x}{{\left(a+b\,x\right)}^{\frac{a\,d-2\,b\,c}{a\,d-b\,c}}}+\frac{x^2\,\left(a\,d+b\,c\right)}{a\,c\,{\left(a+b\,x\right)}^{\frac{a\,d-2\,b\,c}{a\,d-b\,c}}}+\frac{b\,d\,x^3}{a\,c\,{\left(a+b\,x\right)}^{\frac{a\,d-2\,b\,c}{a\,d-b\,c}}}}{{\left(c+d\,x\right)}^{\frac{2\,a\,d-b\,c}{a\,d-b\,c}}}","Not used",1,"(x/(a + b*x)^((a*d - 2*b*c)/(a*d - b*c)) + (x^2*(a*d + b*c))/(a*c*(a + b*x)^((a*d - 2*b*c)/(a*d - b*c))) + (b*d*x^3)/(a*c*(a + b*x)^((a*d - 2*b*c)/(a*d - b*c))))/(c + d*x)^((2*a*d - b*c)/(a*d - b*c))","B"
1885,0,-1,30,0.000000,"\text{Not used}","int((1 - x)^n/(x + 1)^(1/2),x)","\int \frac{{\left(1-x\right)}^n}{\sqrt{x+1}} \,d x","Not used",1,"int((1 - x)^n/(x + 1)^(1/2), x)","F"
1886,0,-1,35,0.000000,"\text{Not used}","int((x + 1)^n/(1 - x)^(1/2),x)","\int \frac{{\left(x+1\right)}^n}{\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)^n/(1 - x)^(1/2), x)","F"
1887,0,-1,33,0.000000,"\text{Not used}","int((1 - x)^n*(x + 1)^(7/3),x)","\int {\left(1-x\right)}^n\,{\left(x+1\right)}^{7/3} \,d x","Not used",1,"int((1 - x)^n*(x + 1)^(7/3), x)","F"
1888,0,-1,37,0.000000,"\text{Not used}","int((1 - x)^(7/3)*(x + 1)^n,x)","\int {\left(1-x\right)}^{7/3}\,{\left(x+1\right)}^n \,d x","Not used",1,"int((1 - x)^(7/3)*(x + 1)^n, x)","F"
1889,0,-1,47,0.000000,"\text{Not used}","int((3*x + 2)^m/(2*x + 1)^m,x)","\int \frac{{\left(3\,x+2\right)}^m}{{\left(2\,x+1\right)}^m} \,d x","Not used",1,"int((3*x + 2)^m/(2*x + 1)^m, x)","F"
1890,0,-1,45,0.000000,"\text{Not used}","int((c + d*x)^n*((d*(a + b*x))/(a*d - b*c))^m,x)","\int {\left(c+d\,x\right)}^n\,{\left(\frac{d\,\left(a+b\,x\right)}{a\,d-b\,c}\right)}^m \,d x","Not used",1,"int((c + d*x)^n*((d*(a + b*x))/(a*d - b*c))^m, x)","F"
1891,1,22,28,0.037452,"\text{Not used}","int(a + b*x + c*x^2 + d*x^3,x)","\frac{d\,x^4}{4}+\frac{c\,x^3}{3}+\frac{b\,x^2}{2}+a\,x","Not used",1,"a*x + (b*x^2)/2 + (c*x^3)/3 + (d*x^4)/4","B"
1892,1,10,15,0.021030,"\text{Not used}","int(x^4 - x^3,x)","\frac{x^4\,\left(4\,x-5\right)}{20}","Not used",1,"(x^4*(4*x - 5))/20","B"
1893,1,8,11,0.017067,"\text{Not used}","int(x^5 - 1,x)","\frac{x\,\left(x^5-6\right)}{6}","Not used",1,"(x*(x^5 - 6))/6","B"
1894,1,7,9,0.028534,"\text{Not used}","int(4*x + 7,x)","x\,\left(2\,x+7\right)","Not used",1,"x*(2*x + 7)","B"
1895,1,12,14,0.019801,"\text{Not used}","int(4*x + Pi*x^3,x)","\frac{\Pi \,x^4}{4}+2\,x^2","Not used",1,"(Pi*x^4)/4 + 2*x^2","B"
1896,1,10,11,0.019187,"\text{Not used}","int(2*x + 5*x^2,x)","\frac{x^2\,\left(5\,x+3\right)}{3}","Not used",1,"(x^2*(5*x + 3))/3","B"
1897,1,8,15,0.020842,"\text{Not used}","int(x^2/2 + x^3/3,x)","\frac{x^3\,\left(x+2\right)}{12}","Not used",1,"(x^3*(x + 2))/12","B"
1898,1,13,18,0.023693,"\text{Not used}","int(2*x^2 - 5*x + 3,x)","\frac{x\,\left(4\,x^2-15\,x+18\right)}{6}","Not used",1,"(x*(4*x^2 - 15*x + 18))/6","B"
1899,1,15,20,0.026176,"\text{Not used}","int(x^2 - 2*x + x^3,x)","\frac{x^2\,\left(3\,x^2+4\,x-12\right)}{12}","Not used",1,"(x^2*(4*x + 3*x^2 - 12))/12","B"
1900,1,12,16,0.023035,"\text{Not used}","int(1 - 3*x^5 - x^2,x)","-\frac{x^6}{2}-\frac{x^3}{3}+x","Not used",1,"x - x^3/3 - x^6/2","B"
1901,1,13,13,0.028111,"\text{Not used}","int(2*x + 3*x^2 + 4*x^3 + 5,x)","x^4+x^3+x^2+5\,x","Not used",1,"5*x + x^2 + x^3 + x^4","B"
1902,1,20,22,0.036676,"\text{Not used}","int(a + b/x + c/x^2 + d/x^3,x)","a\,x-\frac{\frac{d}{2}+c\,x}{x^2}+b\,\ln\left(x\right)","Not used",1,"a*x - (d/2 + c*x)/x^2 + b*log(x)","B"
1903,1,17,22,0.029095,"\text{Not used}","int(x + 1/x^5 + x^5,x)","\frac{2\,x^{10}+6\,x^6-3}{12\,x^4}","Not used",1,"(6*x^6 + 2*x^10 - 3)/(12*x^4)","B"
1904,1,11,15,0.028922,"\text{Not used}","int(1/x + 1/x^2 + 1/x^3,x)","\ln\left(x\right)-\frac{x+\frac{1}{2}}{x^2}","Not used",1,"log(x) - (x + 1/2)/x^2","B"
1905,1,10,10,0.032915,"\text{Not used}","int(3/x - 2/x^2,x)","3\,\ln\left(x\right)+\frac{2}{x}","Not used",1,"3*log(x) + 2/x","B"
1906,1,12,15,0.025232,"\text{Not used}","int(x^6 - 1/(7*x^6),x)","\frac{5\,x^{12}+1}{35\,x^5}","Not used",1,"(5*x^12 + 1)/(35*x^5)","B"
1907,1,9,11,0.026654,"\text{Not used}","int(x + 1/x + 1,x)","x+\ln\left(x\right)+\frac{x^2}{2}","Not used",1,"x + log(x) + x^2/2","B"
1908,1,10,13,0.030847,"\text{Not used}","int(4/x^2 - 3/x^3,x)","-\frac{8\,x-3}{2\,x^2}","Not used",1,"-(8*x - 3)/(2*x^2)","B"
1909,1,11,13,0.026224,"\text{Not used}","int(2*x + 1/x + x^2,x)","\ln\left(x\right)+x^2+\frac{x^3}{3}","Not used",1,"log(x) + x^2 + x^3/3","B"
1910,1,11,17,0.029851,"\text{Not used}","int(x^(5/6) - x^3,x)","\frac{6\,x^{11/6}}{11}-\frac{x^4}{4}","Not used",1,"(6*x^(11/6))/11 - x^4/4","B"
1911,1,8,13,0.023976,"\text{Not used}","int(x^(1/33) + 33,x)","\frac{33\,x\,\left(x^{1/33}+34\right)}{34}","Not used",1,"(33*x*(x^(1/33) + 34))/34","B"
1912,1,10,15,0.021486,"\text{Not used}","int(1/(2*x^(1/2)) + 2*x^(1/2),x)","\frac{\sqrt{x}\,\left(4\,x+3\right)}{3}","Not used",1,"(x^(1/2)*(4*x + 3))/3","B"
1913,1,15,15,0.291076,"\text{Not used}","int(10/x - 1/x^2 + 6*x^(1/2),x)","20\,\ln\left(\sqrt{x}\right)+\frac{1}{x}+4\,x^{3/2}","Not used",1,"20*log(x^(1/2)) + 1/x + 4*x^(3/2)","B"
1914,1,12,17,0.026632,"\text{Not used}","int(1/x^(3/2) + x^(3/2),x)","\frac{2\,x^3-10}{5\,\sqrt{x}}","Not used",1,"(2*x^3 - 10)/(5*x^(1/2))","B"
1915,1,8,15,0.026704,"\text{Not used}","int(7*x^(5/2) - 5*x^(3/2),x)","2\,x^{5/2}\,\left(x-1\right)","Not used",1,"2*x^(5/2)*(x - 1)","B"
1916,1,15,24,0.029024,"\text{Not used}","int(2/x^(1/2) - x/2 + x^(1/2),x)","\frac{\sqrt{x}\,\left(8\,x-3\,x^{3/2}+48\right)}{12}","Not used",1,"(x^(1/2)*(8*x - 3*x^(3/2) + 48))/12","B"
1917,1,17,23,0.280567,"\text{Not used}","int(x^(1/2)/5 - 2/x + x^(3/2),x)","\frac{2\,x^{3/2}}{15}-4\,\ln\left(\sqrt{x}\right)+\frac{2\,x^{5/2}}{5}","Not used",1,"(2*x^(3/2))/15 - 4*log(x^(1/2)) + (2*x^(5/2))/5","B"